0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-11-30 16:56:27 +00:00
OI-codes/S2OJ/1821/data/manacher8.in

3 lines
195 KiB (Stored with Git LFS)
Plaintext

200000
aababbabbbbabbbaabbaaabaaabbbbabbabbbbaaabbabbbaababaaabbaababbbaabaaaabababbaabbbbbbbbabbabbabbbbaaababbabbbbbbbababababbaaabbabbbabbabbbaabbaaabbabaaaaabbabbbbabaabbbaaababbababbbbababbbaabbbabaaaababbbbaababbbaaabbbaaabaabbababbaabbbabababaabbaaabbaaabaabaabaabaaabababbbabaabbbababbaabbabaaaaababbaabbbbabaaabbaaabbbabaaaaabbbbbbabbabbabababbabbbbbbbaabaababaaaaaaaaabaaaabaaaabbababaaabbbabbabbbbbabaaaabbabaabbbbaababbbbaabbaaaaaabbbaaabaabbbbabaabaaababaababbaabaaabbaaabaabaabaabaaaabbbbabbbbabababbaabbaaaaaaabbaaabbababbaabaaabbaabaaabaababbababbaababbbbaabbabaababaaaaaabaaaaaaaaaabbabaaabababbabbbaaabbbbbbbaaabbbabbaaabaaabaababbbaabbbaaabbaaaabbbaabbbbaaaabbbaaabaabbbbbabbbbabbabbbbababbbabbbbbababababaababbbbabaaaabbaaabbabababbbbaabaaabaabbbabbbbabbaabaaabbbbbbabaaaabbbaaabbbababaabbabaabbabaabaababaaaabbabaabbbaababbabaaaaabbbbabbabaaaaabaaabbbbbababababbbaaaaabababaabababbababaaaaaabaaaabbbaaababaaaaabbbbbbaabbaaaaabbaaaaaaabbaabbbbbabababbbabaababbbbbbbbaaaabaabbbbaababbbbabbbaababbbbbbbbbabaabaabaabaabaaaabaaaabbbaaaabbbaaababaabbabbbbbabaaabbbbbbbbaaaaabbbbbaaaabbbbabbbbabaabbabbabaaabaabbbbabaabaaaaaaabbbbaabaabbabbaabbbbbbabbaabababaabaaabababaaaababbbaaaaabaabbababbbaabbbaabbabbbbabbbbbbaaabababaabbabbaaabbbabbaaabbbbabbaaabaaaaabaaababaaaaabbbaababbaaaabbbbaaaabbbbbaaaaaaaabbaabbbabbabbbbaaaaaaaaabbabbbabaabbbbaabbaabbbbbabaaaabbbbbbaabaabbaaaaaabbabbbbbbbaaaabbbbababbbaaabbbaaaabbbaababaababaabbbababbbaabbabbbaaaaaabbaabbbaaaabbbabaabaaabbababbbbabbabababbbabaabaabbbbbbbabbaabbbaabbaaaabaabbbbabbababababbabbbbaaabbabbbbaababbbbbbaabbaababbbbabbabbbbbbabbbaaabbababaaaaaaabbbbbbaaabbbbaabaaabaabbbbabbabaaababbbbabababbbbbbaababaabbaabbbaaabbbbabbbbbbbabababaabaaabbbbabbabbabaaaaabababbababbbbaaaaaaabbababbbbbbbbbabaabbaaaabbaabbabaabababaababbabbaabaabbbbbaabbabaaabababbbbbababbabbabbaabaaaaaaaababbbabbbabbbbaabbabbbbbbaaabaabaabbabaaaaabbaabbabbbbaaabbabbbbaaabbbaaabbbbbbaaaabbbbbbabbaaaababbbbbbbabababbbabbabaabbababbbbabaaababbbabbbaabaabbabbbbabbabaabbaaaaabbbababababaaabbaabbabaabaabbbbbbbbbbabbaababaabaaababababbbabbbbaaabbbbbaabababbbababaabbbabaaabbabbabbbaabbbbabbaabbbbbabbbaaaaaabaaaaabaababbaaaaaabbbababababbabbabaaaaabbaabaabbbabbababaababababababbbbbbaabbbaabbbaaabbbbbabbbababbbaababbaaabbbbabbabaaabbaabaaabaabaaabbbbabaabaaaaabababbbbbabaaaabbabbaaabaaabbbbbaaaaababbabbabaabaabaaabaabbabaaaaabaabbbaabbbaaaabaabbaabaabbbaaaabaabaabaaababbbaaaababbaabbaaabaabbbaaabaabababbbbaabaaaabbbaaaababbabbbaaabbbbaaaaabbbaaaababbbbaabbaabbbbaabaaabbbaaaababbbbbaaabaaababbabbbbabaabaaabbbaabaababababbaabbbbbbabbabababaaaaaaaaabbaaababbaababbabbbabaaabbbabaaaabbbbbabbaaaaababbabaaabbbabbbabbbbbaaaaaaaabaabbbababbbbbbbbbaabbbaaababababbaaaabababbbabbaaabaabbabaaabaaaabbaabbabbbbabbaabaaabbabbbbabaabbabbabbababbbabbbaabaaaaabbbababbabaabbaaaaabbabbbbbbabaaababaabbaababaabbbaaabbaabaaaaaabbabbabbaababaaabbbbbbbbaaabbbaababbabbababbbbabaababbbbababbabaaabbaaabbabbabbaaabbababbbabaabbabababaaabbabaaaaaaaabbaaaabbaaaaaaaabbabbaaabbaaaaabaaaaabbaaabbabbaabbbabbaaaabbbabbbbbaaaaababbaabaabbaabbaabbaabaabababbabbaabbaaaaaabbbbaaaababbbbabbbaaababbbbbbaabbbbaaabaaaaabbbbaababbabaabbaabbbaaaaaabbbbaaabababbaabbbababbaabbabababbaaaaabbabbaaababbaaaabbbbbababbbaaabbbaabbbababbbbabbaaabbbabbbabaabaabaabaaabbaabbbaabbaabbaaaaaabaabbabaaaabaabbbbaababaabaaabbabbaabaababaaaaaaabbababaababbaababbbbbbaaaaaaaaababbbaaaabaabbabaaabbabbabaabaaabaaaaaabbbabababbaabbbbbbaabbbaabbabaaababbbabaababbaabbaabbaaaaaababababaabababbaabbaabbaaabbabbaabbbbaabbbabbbbbbabaabaababababaabaaabbaabbbabaaabaabaaabbaaababbbabbbbaabbababbaaaabbbbbbaabbbabbababbaaaabaaaaababaaaabaaabaaabaaaabbaabababbaabaaababbbbbbabbbaaaaaaaabbaaaaaaabbabbabbbbbabaabbbaaabbabaabaabbaaaabaaaaabbbbbaababbbaabaabaaabbaabaabbbbabbaaababbbabababbbbbaaabbaaaabbaababaabaaaaaaababbbbaaaaabbabaabaaaaaaabaababbabbaaabaababbabaabbbaaaaaaaabababaabaababbabaababababaaabaaababbaaaabaaaaabababbbabbbbbbbbbabaaaaababbabbabababbaabbababaabbabbabababaabababababbabbaabaaaaaabbabaaaaabaabbaaabbababbbbababbbbbaabaaaabababaababbababaababbbbabbaaaabbabababbbbabbaabaabbabbaaaabbbbabbbaaabbabbbaabbabbaabbabbbabbabbbbbbabaababbbababbabbbaaaabaaabbaabbbabbbbbbbaaaababbbaabbbabbbbaaabbabbbbabbbbbbaabaabbbbbaabbaabababaaabbbabababbabbbbabbbabbbaababaabbbaaabaabaaaaaaaabbbabaabbbabbaaabbbbabababbaaaabaaaaabbabbbabbaaababbbbbbaaabbbbbabaaabbbababbbbbbbababbbbbabbbaabbbabbabaaababbabbabababbbaabbbbbabbbbabbabbbabbaaaabbaabbaabaaaaaaaaaaaaababaabaaaaaabbbbbbaaaaaaaaaaaaaaabababbbaabbbbabaabbaaabbabbaababaaabbabbaaaabaabbaaaaabbababbbbbbababaaaaabaabbbabaabbabbaaaabaabbbaaabbbabaababaabaaabbababaababbabbbaaaabaaabbaabbbbbabbaaaababaabaaaabbbaaabbaabaaabbaaaabbabbbbababaabbbaaabbaabbaaaaaabbaababbabbbaaabababaababbbbbbabbaababbabbaababababbbbabbbbbbbaaabbbbaababbababbbbbbaababbaababbaababbbabbabaabbbbaaabaabaaabaaababbabbbaaaaabbababbabbbabbabbbaaabaaaabababbabababbabbbaaabaaaaaaabababaaabbbbababaabbbbbbbabaababbbbabababbbaaabbaaaaababbbbabbbabbbbaabbbbabbbababaaaaabbbbabbabbaabbbbabbaaaabbbabbbaabbabaaabbaabbaabbbaabbaaabbbaaaabaabbbaababbbbbbbabbbabbbababaababaabbbbbbbabaaaababbabbabbabbbaaaaaaaabbbaaaaabaababbbbaabaababbbbbaabbaababaaaaabbababaabaabbabbabbbbababbaaabbabbaabbaababaababbabbbaaaabbbabbabbbaaaaaabbabbabaababbbaaababbaaaabbbbaabaabbbabaaabbabaabbbabbbabaaaabbabbabbaaaaaaabbbbbbabbbbbbabaaaaabaaaabbabbbbbbababbbabaaaababbbabababaaaaababbbaaababaaabababbaabbbbabbabbbbbabbabbaabbaaabbaaaabbbababbabbbbbabaababbbabbbbaabababbbababbbbaaaabbabbababaaabbbbaaababbabbabbbbaababbbbabbaaabaabbbaabbbbbbbabbabbbabaabbbabbaabaaaabaabaaaabbababbbbbbababbabbbabbbbabbabaabbbbababababaaabaaabbbbbababbabaabaaaaaabbbabbabaaabbbbabaaaabbbaabbabaaabaaabababbbabbbabbbbbbababbaaaabbaabababbbbabbaabbabaaabababbbbbaaabbbbbbbabbaabbbbbaaaabbaabbabbabbaaaaabbaababbabbbbbbbaabbaababbbbbabbaabbaaabaabbbbbaababaabaaaababbabaaabaaabbbaaaabbbabbbabbbabababaaaabbbaababababbaaabbbbabbbaaaabaaabbababbbababababbbabbbaaaababaaababbbabaaaaaabaabbbabaaaabbabababababbaaaabbaabbabbabbbbaaaabbaaabaabbaabaabaabbaabbabbabbbbbaabbbaaaaaaaabaaabbbbbbaaaaaaaaabaaabbaaaabbbaabbabbababbaaaabbbbbbbbbbbabaaaaaabababaaaabababaabbbbaaaaaababbbbabaabbabbbababbbbbbbbbbabbaaaabbbbbabaabbbabbbbbbbbbaaaaaaaaaaaabaaabbaababbaabababbbaabbbabaabaaababbbabaaababaaaaaabbaabababbbabbbababaabbababbbababaaabaaaaabaababbbbaaaabaababbaaaabbbbbbaaababbabaabaabbabaaabbaaabaabbababbbabbaabababbabbaaabbbbbabaabbbaababbbaaaaaabaabaaabaaaaaaaaabbbbbbbbaaabbbaaaaaaaabbbbabbbbababbaabbbaababbaaaaaaababbaabbbbabbaaababbaaaabbbaabbbaaabaaabaabababbaabaaaaaaaabaaabbbababaabaaaaaabbbbbababbabbbbbaabbbbbbaaabaabbbaabbbaabaaaaabbababaabbbbbbabbbaaaaaabbbaaabbbabbaaabbaababababaabbabaabaaabababbbbaaabbbabbabbbabaababbaaababbbbaabababbbbaabbaabbbbabaabbbabbbbbaaaaabbbbbaaaaaabbbaabbabbaaaaabbaabababaaaabbbababbaaabababbabbbaababbabaaaababbaabaabbaabaaaababbaaaaababbbbbabbaabbaabbaaabbbabaabbabaaabbabaabbbbbbababbbabbbabbbabaaababababbbbaabbbaabbaaaabababbbabbbbbbbabaaaabbbaaababbbaaaabbbaaabbababbaabbaababaaabbbaabbaabbbaaaababaabbaabaabbbbaaaaabbabbaababbabbbabbbbabaaaaaaabaaabbbbbabaabbabababaabababbbaabababbbaaaabbbabbbbbbabbbabbaababaaaaaabaabbbaaaabbaaabbbbaaabbbabbabbaaaaaabababbabbabbbbaaababbabbabababbbbbbaabbbabbababbabbaaaaabaabaabbbbaaaabbbbbaaabbbbbaababbaabbbbaaaaababbbaababbababbabaaaabbbabaaabbbbbbbbabbbbbabababbaaaabaaaaabaabaaabbbabaaaaabbabbbbbbaaaabbabbaabbbbbaabbabbbbaaabbaabbabbaabaabaaabaaaaabbaaabbbaabaababaabaabbbabbaaabbbbaabaababaabbbababaaabababaaabbabaaabbabaaabababbbbaaaabaaababbaabbbbaaaaabaabaabababbaabbbabbbbabbabaabaababaaaaaabbbbabaabaababaaababbaaabaaaabababbbbbbbbbbababbabbbbabbbbbbbbaabaaaaababbabbaabbbbababbabbabaaabaabbabababaaaaabaabbbabbbabaabbabaaabbbbaabaabaabbbaaaabbabbaabaaaaaaaabaabbababaaababbabbabbbbaaabaaaaabaabaabaaaaabbbaaaaabaabbbbabbabaaaababaaabbbbaaaabaaabbbaaabbbaabbbababaabababbabbabaaabbabaaaaaabababaaaaabaabbbabaabbaabaaaabbaaabbbaaaaaabbaabbbaaabaaabbabbbabbabaabbabbabbaaaaabaababbaabbbbbbaaabaabbabbaaabbaaaaaababababbaabaaabababbbabbbbabaaabbaabbbbbaabbbbbbbbabbababababbbbbaaaaaabababbbbbbaabaaaabaaaaababbabbbbaaabaabbbbaabbabbaabababbbaabaaaabbabbbbbaaaaabababaaaaababaabaababaabbbababbaaabbbaabbaababababbbabaaaabaaaabbaabaabbbbaababaabaaabaaababbbbbaaaabaabbababbbabbaabbaababbaabbaabababbbababaabbaaabaabbaabbaaaabaaabaabbaababbabaaababaaabababaabaaaababbabaaaaaaababaaaabbbbaabbaabaabbabaabbbbbbababaabababbbabbbaabaabbbbbabaaaaabaaabbbaaabbbabaaababaabbababbbababbaaabbabbbbabbabbbaaabababababaaabbaabaababbaaababbbbaababaaababbabbbaababababababbbbaaaabbabbaabababaabaaaababbbabbabbbbbbbbbbbbabbbabbbbbabababbbaaabaabaaaaabbabbbaaaabbaaaabbaabaaaabaababbbbaabbbbabbabaaaaababbaabbbbbbaabbbbbaabbbbbbbabbababbabbaaaabaaaabababaabbaabbbbbbbaaabaaaaabaabbaaabaaababbbabbabaaaababbbbbaaabababaabbbbbabbbaaaabbbbbbbbbaababbaaabbaabaabaabaaabaaaaabaabbbabbbaabbbbbabaaabbaabbbbbabbbbaaabaaaaababaaaabbbabbbaaaabaaaabaabaaabaabbabaabaaaaababababaaaabbababbbbbbbbbbaaabbbaababbabababbbabaabaabbabbabbbabbababbbbabaaaaabbabbaaabbaabaabaabbbbabaabababbaabbbbbabbbabaababbbaaabaabaabbbbabbbbaaaabbabbbababbabbbbababababbababaabababaabbaaabbbaaaaabaaababbbbaaaaabbbaabbbbaaabbbbabbaaaaaabababaabaababbbbabbbbbaaabbaabbbababbbbaaaaaababbaaaaaaaaaaababaabbabbbababbbbabbbbaaaabbbababbbaabbbabbaabbabaaabbbbaaababbbbbbaaaabbbaaaabaaaaababbaaaaababbaabaaaabbabbabbbbbbbaaabbbaaaabbababbabaabbabbbaaaaabbbaabaaabbbbbbabaaababbbabababbbaabbbaabbbaabaaaabaababababaaaaabbaabbbbbbbaaaabbbbaaaabaabaaabbbbbaabbbaaabbbbaabbaabaaababaaabbbbaaaaaabbbbabbbbaaaaaabaabaaaabbbabaaabbbaaaababbaaababababbaaaababbbaaaaaaabbaabaabbabbaaabaabbababbabaababbbababbbaaabbbbabaaabaabbabababaaaaaaaabbaaaaabbbbbbababbbbabbbaaaababbabbbaababaaaabaaaaabbaaababbbbbabbabbabababaaaababbbababbbbaabbababaaabbbbaaaaaabaaabbaabbabbababbbabbbbbbaaaaabbbaaaaaabaaababaabbaabbabbabbaaaababbaaaabaabbbaaabaaaababaabbbaaaabbababbaaababbbbaabaabaabaabbaaaabaaaaaaababaaaabababaabaabbbabbaabbbbababbababaaabbbbbabbaaabbaaaababaabababbbbbbbabbbbbbbaabababbabbabaaababbbaababbaabbbbbababaaaabbbbaababbaabbaabaabbbaaaaaabaaabaaabaaaabaaaabaaababaabbaabbabaabaabbabaaaaabbbaabbaabbbaaaaabaaabaabbbbbabaaabbaaabbbbbaaabaaabababbaaaabbabbabbabaabbbababbabbaaabbbbaababbaaaabaabababaabbbaaabbabbbbbaabbaaabaaabbbabbaaabbaaaaaaaabbababaaabaaaababaabbabaabbbabaabbbbbaaaabbaaabbbaababbaaabaaabbaabbbaababbbabaaabaaabbbbbbabbbbaabbabbabbbabbaaabaaababaabaabaabbbbabbbabbbaabaabbbaababaaabbbaabaaaaabbaaabbaaabbbaaaaaaaaabaaaabbbaababbbbaaabaabbbbbaabbababbaaababaaaabaabbabbbbabaaabaaabbbabbaabbaabbabbbbabaabbaabababbbbaabaabbabbbbbbaabababbbaaaaaaabaaabbbbabbbabaaabbaabbabbbaabbabababbaabbabbaaabbaabbbabbaaaabbaaababbbaaababbbbbabbbbbaaaaabbababbabbaaababaaabbbbbbaaaaabaabbaaaabbabbbababbabababababbaabababbabaaabbbbaabbbababbbaaababaaaabaaaabbabbbbabbbbabbbabbbbbbbababbaaaabbabababbbabaaabbabaaaaaaabaabababbbaabababaaabbaababaabbbbabbabbbaabaabbaaaabbaabbbababbaaaaaabaabbbbbbabaaabaababaababbbbababbbbaaababbaaaaaabbbabbaaabaaabbabbbaababaaabbbaabaabbabbabbbbaababaababbaabbabaaabaabaaababbaababbaabbbbaababbbbbbabbbbbbbbbbabaaaabbbabaabbaabaaaabbbbaaabbabbaaaababaabaaabbbbaaabaabaabaaabbabbbabbabbaaabbbaaabbaababbbaaabbbaaabaaaabbbbbbaaaababaaababaabbbabbbbbbbaabbbaaabbabbaaabbaabaaaaabaaaabbaaaabababaabbbbbaabbbbaabbabbabbbabbaabbaaaababaabababbabbaaaabbbbaabaaaabaaabbbabbbabaabbaaaabbbabbbbaaaabbaaaaababaaabaaaaabbbbbabbabababaaaaabaaaabaaabbaaaaaabaababaaaaaaabbaaababbbbaababbabbabbbbaabbbaaababaabaaaaabbbaababababbbababbabbababbbaabbbaababbbbbbbabbaababbababbaababbaabbbabbaaabbabbaabababaababaabaababbababbbaaabbaabbbbbabbbbbbbaababaabbabbbbbbaabaababaaabbabbbbbbaaabbbabaabbabaaaaaaaaabbaaaaabbbbbaababbabaaaababbababbaaaabbaaaabbababbaababbbaabbaaaaaabbaaaabbaaabaaabaababaabbbbaaababbabbbababaabbbbbbaabbbbaaabbbabbaabaaaabbbbaabaabbbbaabaaaabbaabaabaaaabbaabbbbbbababbbbaabbaabbabbabaabbbbabaabbaabbabaaaaaabaaaababbbbbaabbbabaaaabaaabaabaaabbaaabaaaababbbabaabbbabbbbabaaaaaababbbbbbabaaabbaabaaabaaabbbaabbabaaaaabbaaaaaabbbaabbabaaaabbabaabbbbbbbabaabaabbbbbabababbbbabbbabbabaabaabaabbbbababaaaaaaaabbbbbbabbbaababaabaabbbbabababaaaabbbbabaabbabbaabbaababaaababbaaabbaaabbabbbbaabaaaaaaababbaaaabbbbaababbbbabababbaaababaabbabbaabbbbababbaabbaaabaaabbaababaaaabaabbbaaababbbbabbbabbabaababaaaabbaaabbabbbaaabbbabaaabbaabaabaaaaaabbbbaaaabaaabbaabaaaabbaabaaabaabbaabaabbaaaabbabaababaabbaabbaabbbbbbbbaabbbaabbaaabaabbbbbbabbbbababaaabbbaaabaabababbaaabaabbaaaaabaaabbabbaaabbaabbbbbbaabaabbaaaabaaaabbbabbaaabbabbabbbbabaaababbabbabbaababbababbbbabaabbbbabbbbbabbabbbaabbbabaabbabbbbbbbaaabbabaaabaaabbbaaabbbababbbbabbbbaabaabaabbaababaabababbaabbabaaaabaabbaababbbbababbababaaabbbbabaaaabbbabababbaaabbbbbaaaaababbbabbaababbaaaaaaaabbaaabbabbabbbbabbabbbbaababbaaaababbaabbababaabaabaaaaaaaaaaabbbbbabbbaaaabbaaaaabbbabbbaaabbbaaababbababababbbbbababbbaabababbabbabbbaabbbaaaabaabbababaaabbbbbaaaabbaaabbbbbaabbbbaaaaabababbbabaaababaabbbbabbbbbabaabaabaababbbbababbaaaabaabbabbbaaaabaabbabbbbbaaaabaaabaababbaaaabaabaabbbabaabbabaaabbbabaaaaabaaabaabaaaaaaaaababbabbaaabaabaabaabbbbbbaabaabbbabbbaabaaababbbaabababbababaaaabaaaabbabbbbbbbbbaaabbbaaaabaaaabaabbabaabbbbbaaaabbbaaaaababaababbbaaaababaaabaababbaaaaaaaababaababbaaaabaabbbaaaaaabaabbbbababbaabbaaaabbbaabababbaabbababbbababbbaabbaabbbaaaaaaaaabaaabbaabababaababbbaababbaaaabbabbabaaaaabaaababaaaabbbaabbbbabababbbabaabaababaabbabbbbbaabbbababbbbabbabaaabaababaababaababaabaaababbbbaabbbaaabaaaabbabaaaabbaabbbbbbbaabbababbabaaabababaaabbaaaaaababbaaabbbbbabbaaaaaababaaabbaaaaababbbabbabbbbaaaaabaaabbabbbbbbbabbbbaabaaaaaabbbababaaabbabbaababababbbbbabaababbabaabbababbabbabaababaabaaababbaabbaabbaaababbababababbaaaaaaaabbbaaabaaabbabaabbaabaabababbaaaabaabababbaaababbbaababbabaaaaabaabaaabaaabbabbaaaaabbabaaabaaaaabbabbaaabaababbbbaabbabbbbaabaaaabaaabbaaaaaaabbbaaaaababaaaabbababababaaabbaabaabbabbababaababbbaaaaaaababbbabaababbbbaaaabbbbababaabbabbbbaabaaabbaababaaaaabbbabbbbbbabaaabbababaabaababbaaabaaabbbaaaaabababbbbaaaaaaababababbaaaaabbabbbabbabbabaaabaaabaaaaaababababbabaaabbbaaaababaaaababbbbbbbabbababaabbbbaabbbbbabbbbaabbabaabbaabbbbaaaaaabababaaabbaaaabaaabbaabbbbabbbbbbababbbbbaaabbbaabbbabababaaaabbabbbaababbaabbbababaabaaabbbaaabbbbbabbaabbaaababaabbaaababaabbabbabbababaababbababaaaabaaaaabbbbabaaaaaaabaaabbbbaabbbbbbbaaaabbaaabaaabaabbbaabbbbbaaaabbaaabbababbabbbbbabbbbabababbaaaabbbaabababababbbaababbbaaaaaaaaaaaabaabbabbabbababbaaabaaaaaaaaabbbbbbbbbbbaabbbabbaababbbaabbaaabbbabbababaaababaaaabbbaaaababbabbbbabbbaaaabaabababbaababaabaabbbbbabbbabaaaabaaaaababaaabaabbbbbabbababbbababbbababbaabbbbbaaababbbbabababbbabbbaaabaababbbbaaaaabaaaaaabbabaaababbaaabbabbbabbbbabbabaabbbaaabbbbaaabbbbbbbaaabbaababbbaabbaababbabaabbbaababaabbaaabbaaabbbbaabbbabaabbaaabbaabbaabbaabbaabbabbbbbbabaabbbabaabaababbbbabaaaaaaabaabaaabbabbaaaaabbaabaabbabbaabaaababbaabababbabaababbbabbbbabaaabbbbaaaaabbaabbbaaaaabaabbabbababbbaaaaaaaabbbababaabbaababaababbababaaaabbabaaaababbababbbaababbaaabaaaabbabbbababababbabababaaabbabbbbbabbbababbaabbabaaaaaabbbaabbaaaaabbaabaabbbaababbabbaabaabbabbbbabaaabbbbabaabbbabaababbaaabbbaaababaaabaabbbababbabbbbbaaaabbaababaabbbbbabbaaabaaaaabaaabbbbbabbaabaaabbaabababbababbbaabbbbbaaabbbbabaabaaaaabbabaaabbabbbbaaaabbaaabaaaaabbababbaabbabbbaaabbabbaaaaabbababbaaabaaaababbbbbabababaabbabaabbabababaabbbaaaaabbababbbabbbbaabbabbbaabbabbaaababbabbbbbabbababbbbaabbbaaaaaabbaabaabaabbbbbbaabbaabaababaababaababaababababbabbbbababaabbaaaaaaaabbbabbabbaaaabbbbaaabaabaaaababbabaabaaaaaabbbbabaaabbbaaabbbbbbabbabaabbbbabaaaabbabaababaaaaabaabaabaabbabbbbaabbaabbabbbbbbabaabaaabbbaaabaabbaabaabbaabaaababbbabaabbbbabaabbbabaabbbbbaaabaabbbabbababaaabababaabbbbbbabaabbaaabbaaabbababbbabbababaabaaabbaaaabbabbbaaaabbbbbbbaaaaabbaaaaabbbbaabababbaaaaabaaababaaaabaababbbbaabbbbbbaabababbbbbababaaaaaabbaabbaabbabaaaaabaaaabaaabaaabababbbbaaabbabbbbbabaabaabbaabaaaabababbbabbabbaaaabaaababbaabbbaaaababbbbabbabbbabbabaaabbbbaaababaaaaaabbabbbbbabbaabaabbaaabaabbaaabaaaababbbbbabbabaaababbbabaaabbaababbaaabbbbaabaababbbbbaaaabbababbbababbabaabaaaababbbbaaabaabbababbbaababbbbbbbbabbbbbbaabbaaabaababbaabbbbbaabbaaabaaaababbabaabbaabbbaabaaabbbaaaaabbaabaabbbbbabaabbabbabaaabaababaaabbaaaababbbabbaaaaabaabbaabbbbabaaabaaaaaaaabaaabaaababbaaabaaaaaabbabababaaabaabbbbbababaaaaaaababbbbbbbbbbabaabaaaabababbaaaabbaaaaabbabaabbbbbababaaabaaaabbbabaaaaaabbbbbababaabbbbabaaabbabaabbbabababaaaabaaabbaaaabbbbabbbbbabbabbaaaaaaabaabbbaaabbaabaaaabbbbbabbaaaabaaaaabbbabbbbaaabbabbbabababababaababbbbabbaabaaababbabbbaababbbabaaaabbbaaabbaabbaabbbbbbbabaabbbbbbbabababbbabbbabbaaababbabbabbbaaaaabababbabbbbaabaaabbabbabaaaaabbbbababaaababbbbababaaaaaabaababbabbabaabbbaababbbbbabaaabbbabababbbabbbabbbabbbbaabbbaaaabbbbbbabbbababaaabbbbbaaabababbaaaabbaabbaaabababababababaaabbbabaaaaaababbabababababababbbbbaaabbababbbbabbaabbaaabbbaababaabbbaababbbaabaaaabbaaaaabababbbbbbababbbaaaaaaabbaaabbaaaaaabaabaababbbbaaaaabbbabbaaabbaabbbaaaaaababababbaabbababbbbbbabbabbaaaaabbbababaaabbbabaaabaaaaaabaaabbbbaabaabaabbaabaababaabbabaabbbabbabbbbbabbaaabaaabbbaaabbababaaaaaaaaabbaabbabababbabbabbabbabaaaaabababbaaaabbbbaabbaaaabbaabbbbababbbabbbaaabaaabaaaabaaabbabaabbabaabbbababaaabaabaaabaabbbbbaaaaaaabbbabbabbaabababbaabbaabbabaaaaaabbabababbbbaaaabababbbbabababbaabaaaaaaaabaaabbbbbaabbaaaaababaaaababaabababababbabbabbbaababaaabbabbaabbbbaaaaabbbabbabbaabaabbaababaaabbbbbaaaabababbaabaaabaaaaabbbabbbabababaaaababbbbababbbaabbaababababbabbababbbaaaababbaaabbabababbaabbaaabababaabbbbbaaaabbaaabbbaaaaaaabbabbaaabbaabaaaabbbbbbaaabaababbabbbaaaaaaaababbaaabbbbaababaabaababbababbabbaaabbabbbbaaaaaaabbbabbaabbbabaabbbaaabbaaababbabaaaaabababbbbabbbbbbaaababababaaaaabbabababbbbabaabbbbbababbbbabbabbbbbabbbbbbaaaaabaaabbbababbbaaabbaabaabbabbbbbabbbbbaaababaaaabbbbabababaabbbbbbaaabbbabbababbaaabbbbbbabbabaabaaaabbbaaaaabbaaaababbbaaabaabbabbaabababaaabbbabbbbaabababbaaabababaabbaabbaaaababaabbbbaaababababbbaabbbaabaaaaaaabaabaaababbabaaaaabbbaaaabababbabbbbaaaaabbbbbbbbbaabaaabaaaabaaabaaaaaababbbaaababbbbbbbaababbaabbbabaabaaabbbabbbbabbabbbababbabbbbababbbaabbabaababaabbaababaabbbababbaabbbbabaaababbabbaabbbbababbbaabbaabbaabbaaaabaaaaaabaabaaaabbbbabbbabbbbbababbaaabaaabaaaaaaaaaabbbbbaaaaaaaabbbbbbbaaababbabbaabbaaaaabbbbaaaaaabbaabbaaababbbabbbbabbabababaaabbabbbbabaabbbbbbbaabbaababbaabaababbbabaababbabbaaabbbabbbaaabbaabbababbbababbaabaababababbbabaababbabbbabaaaaabaaababaabaabbaaaabbbbaaaabbbaababababbbbababaabaaaaaabaabbbbabbabbababbaaababbbbaabababbbbbabbbabbbaaaababbababaaaabbabbbabaaababaabbbabababaaabaabbaaaababaaababaabbabaabaaabaaaabaaaababaaabaaabbabbbbbbbaabbabbbbbaaabbbbbabbbbbaabbbababbbaaaababbabaaabbbaaababaabbbabbaaaabbbbaaabbaaaababbbabbaaababbbababaabbbbbaabbbaabbababbbbaabbabbbbabbababaabbbaabbbababababbabababaabaabaaaabababbabaaabaabbbbabbbabbbaaabbabababbbbabbbabaaabbaabababaabbabbaabaaaaaaaaaaabbbbbaabbbabaaabababaaaaaaaaaaabababaababaaaaabbbababbaabababbabbbaabaabbabbaaababaabbbbbbaabababbbabbababaabaaaaabbaabbabbaabbbababbbbabbbbaaabaaabaaaabaabbabbaaaababaabbbbaabaaaababbaaaaaababbaabbaababbbbaabaaababaababaababaabababbabbaabbbaababaabbaaaaaaababbabbbbbbabbaaaaabbabbbabaabbbbabaaaababaabaabbbbaaababbbababbbbababbbaabbaabbabbbabaaaababaaabaabbbbaabababbbbbabbaabbbabbbbabbbbbaabbaaaabbabaabbabaaaaaabaaababaaaaaabbbbababbbbaabbababbaabaabbbabaabbabbbabbabbbbbaabbaabaababbbbbabaaaaabbababbaaabbbaaababbaaabaaaaabbbbabaaabaaabbababbbbaababbbbbbaaaaaabbbbbbbbbaababaabaaababbbbbabbbaabbbbbababaaabbabbabaaababbabaabaaaaaabbbaabbbababbbbaaabbbabaabaaaabbaaabaaaabaaabbaabaabbbbbbaaaabaaaabbaaaababbabbabababbabbababbaaaaabaaaabbbbabbbbabbbaabbbbbbabaababbabbbbaababababaaababaaaaabaaaabaaababbaabbbabbabbabababbaaabababbaaaabababbbabbbbaabbbabaabaabbabbabaababaaababababaabbabbbbbaaaabbabababbabbbaabaababbaaaabbbbaabbaaaaabaaaaaaabaabbbbabbaaaababbaaabbabbbaabbaaaabbbbbabbabaabbababbbbbbbaababbbabaaabbabaabbbbbbababaabaabbbaaabbbbbababbaabaaaaabbabbbababababaaaaabbbbbaabbabababbaabbaaaaababaaabbbbaaaaabbbaaaabbbabbaaaabaaabaaaaabbabbaabbbbaabbbbabbabaabbbbaabbabbabaabbbaaabbabababbaabaaaaaaababbabbbaabaabbbbbbababbbaaaabbababbabbababbbaababbbaaabbabbbbbbaaabaababababbabbabbbbbaabaaaaababbbabbbabbbaabbaaabbaaaabbbbbaabbbbbaabaababbabbbbabbabbabbabbababaabbaabaabaaabaaabbabbbaaaabbabaabbaababaaabbbbabbbababaabaaabbababbabbaabababbbbbbbbaabbbabbabbbabbaabbaaabbbabaababaabbaaabaaaaabbbbbbbbbabaababaaaaaaaabababbaaabaabbabaabbbaaaaabbabbbaababbaabbbaabbbabbabaaaababbaaababaababaaaaababaaaaababbbaaabbbaabbbbbbabaabaabbaabbbbbabbbbbbbaaabababbaaaabaababbaaababbbabbaabbbbababbabaaabbbabaabaaabbabbaaaaabaabbbaaabaabaaaaaabbaabaaabaaabbbabaabbabbbaabaaaaabbabababbbabbbbbabbaabbbabbbaaabaabbaabaababbababbaaabbbbabbabaabababbbbbbabaaaabbaabbabbbaabaaaaaabbaaaabaabaabaabaaabbaaaaabbaaaaabaaaaabbabbaabbabbbaaababbaaaaaaaaaaaaaabbababbbbabbaaaababaaaaabaaaabbbbabbaaaaabaaaaaababbababbbbaabbbbbbbaaabababbabbbaaababababababbbabbbabaabbbbbbabbabbbaaababaabbbabbabaabbabaabbabababbbaabababbaababbbaabababaaaabaaababbbbaabbbabbaabababbbaaabababaababbbabaaaaaaabbaabbabababbabbbababbbaabbbbbbaabbbabbbaaaabbbbbaabbbbababbbbbaababbaabaababbababababbaaaabaaabaabbbabaabbababababbbabbbaabaabbababbbbabbaabaababbbabaabaabbabaaaaababbabbbabbabaaababbbaaababbbbbabbbabababbbbbbbbaaaaaabbbbabaaababbabaabaabbbbaaabaaabaabababaaabbaaabaabbbabbbbabaababaabbaaabaabbaaaabbaaaabbbaaaaababbaababbabbaaaabbbbababbbbaaabbbbabababbabababbabbbbbbabbabbbbbbbbbaaaaaabbbbbbababbabbabbabaabbabbababbababaabaaababaabaababbbaababababbbbbbbabbbbaaaaaabbaabbabbaabbabaababbabaaaaaabbbbababababbbbbaabbbababbbabaaababbabaabaabaabaaababbbaabaaaaaaaaababababbababbababbabaabaabbabaaaabbaaabbbbabbbaabaabbbaaabababaabaabaabbbaaabaaabbbaabbbabbababbabaaaabaabababbbbabbababbbbbbbbbbabbaabaabbaaababbbaaabaaaaabaaaabbaaabbabbababbabaababbbaabaaababaabbaaaabbabaabaaabbbaababbabaababbababbababababbababaaabbbabaabaaaabaaabbbabbbbaabaabaaaaaababaaaababbababaabbaaabbababbabbbaaabbbbaaaabbbbabbabbabbabbabaaaabbbbbbaaaaabbababbbabbaabbbaababababbbabaaabaababbbbaaabaabbbbbabaaababbabbabbbbaaabbababbbbbabbbabaaaababaaabaabaaabbbbbbbbbaaababbbbbaaababbaaaabababbbbbbabaababaabaabababbbabbabbaabbaabbbaaabbababaabbabaaabbabbbbbbabaaaaabbaaaabaabbbbbbababaababbaaabbaaaabbaababbbabababbbbbbbbaaabaabbbbaaaaabbbababbbbbbaaaaababbabababbaabaabababbbaaaaabaababbaabbaababbbbbbbaaaabbbaabbbaabaaaabbaababaaaaaababaabaabbbaaabbaabbbbababbababbbabbbabbaabaaababababbbbaaabbaababbbaabbaaabbabaabaabbaabaabbababbbababaababaaaababbbabbabbbbabababbbbbbbabbbbaaabbaaaaababbbbabbbabbabaabaaabbaaababbbaaaaababbabaabbaaabaaaaabaabaaabbbbaaabbabbbababababbaaaaabbbabbbbbbbbabbbabaabaababaababbababbbabbabbaaaabaabbbabbbabbbbbaaabbaaaabaaabaabababbbababbbaaaabbabbbaabaaabaaaaabbbaaaababaaabaaabaabbbaaaaaabbbbabbabbbbababaabbabbaabaabaababababaaababbabbabaabaababbbaababaabbaaabaaaabbbbbabaaabbbbababbbbabababbababaabbaabbaaabaabbbaabbaaaaaabbbbaabbbaaabaaabbaaaaaabaabababbaabaababbbabbbbabbaabbaaaaaabbaaaaaaabbaabbbaabaabbaabaaabbabaabbbbabaabbabbbbababbbababaababbaaaaabbbaaabaaaabaababbbbabaabbaabbabaabbbabbabbaaaaaababaabbaaaaaabbbbabbababbbabbabbabbbbbbbbbbaabbabbbaabbbbbbbbbabaaabababaaaaabbbaaaabbbabbbbabbabbbbabaababaaabbabbbbbbaaaaaaabaaabaaababaabaaabbbabaabaaaaababaaabbabbabbaabbbabbbaababbbbbbabbbaaaaaabbaabaaaaababbabbbbaababbbbabbbaabaaababbbbaabbaaaabbbbaabbbaabababababbaaaaabbbbaabbababbaaabbbabbbbabbbbbaabbaaaabbbabbabbaabbbabababbbbaaaabaaaabbaabababaababbabbaaaabbbaaaaababbbbaaaabababbbaaaaaaabbabbaaabbbabbabbabbaabbbbaabbbbabbbabbaaaabababbabaabaabaabaaababbaabbbabbaabaaaaababaabaabbaaabaaaaaaabbabbabaaabbbaababaabbabaaabaaabbbabbbaabbaaaababbbaabbaabbbaababbabaabbbabaaabaabaaabaababbaababbabbbababbabbaabbbaaaaabaaababaababaaabbbabbbbabaabbabaabbaabbaaaaaaabbabbbbababbabbaaaababbaaabbbbaabbabbaabaabaaaaababbbabbabbaaaaaaaabbaaaabbbaabaabaabbabbbaabbababaaabbaaaababbbaabbbbaabaabbbaabaaabbaaabbbbbaaababbbaaaaabbbbbabbbbbbabbababababababbaabaabbaabbababbaaabbbbbaabaaabababbabbbbbbbaabbbbabaaababbaabbbbabbbaabbbbaaaabbaabbaaaaabaabaaaaaaaabbbbbaaabbaabbaabaababaabbabaabbabbbababaaaaabbabaabaaaabbbabbabbbaabbbabbbababbabbabbbaabbbabaababaaaabbabaabbbabaabbaaabbbbbaabaabbababbbbbabaabbaaabaaabbbbaabbbbbbaabbaabbbbababaaabaabbbababbaabaaaababbbabababaaaabbabbaabaaaabbbaabbabbaabaaaabababbbbbbbbaaabbbabbaaabaaababbaabbaaaabaaaaaaababaabaabbabaabbbaaaaabbabababbbbabaabababbbbbbbabaaabaaabbbbaaabbbbabaababbbaaabaababababbbabbaaaabbbbaaaabbbbbbbbbabbbabbbbaabbbbaabaabbbbbabbbbaababbbabbabababbaaababbbbbaabbabaababbaaabbbbbbbbabaabaaaaabbbaabbaababbbbbbaabaabaaabbabbaaaaababbbaabaabbaaababbbabbbaaaabbbbbbaaaababbaaabaabaaaaaaabaabbaabbbaabbbaababbabaaabaabbabababbaabbbabbbaabbaaabbbababbaaaabbbabbbbbaaabaababbbabbaabbabbbabababbabaaaaaaabbabbbabaabbabbbaaaaabbbabbaaabbababbaabbaaaabaabaabbaaabaabbbaabaabaaabaababbbaabaabbbaaababbbbaaabaaaabbababbabaaaaabbbbbbaababbbababbbaaabaabbabbbbababaababbbbaaaaaaabaaababababaabaababaaabaabbabbbaaaabaaaabbbaaaaaabbaabbbbabbbabaaabbbaabbaababbbbbbabbbbababbbabababbbbbaaabababaababaaaabaaabbbaaabbabaaabaabbabbaaabbaabaabbbaabbabbabbababbabaabbaaaaababbababababababaababaaabaababbaabbbaabaabbaabaabaabaaaabbbbbabbbababbbbbaabaabaaabbbaaabaabbaababaaabbabaaaaabababaababbaabbaaabaabbabaababaaaaaababbabbaaaabbabaaababaaaabbbaaabbababaaaaabbbbababbaaabaababbbaabbbabbbbabaaabaaabbabaababbbaaabbabbababbbbbbbbabbbbababbbabbbaaaaababaabaaabbbaabbabbbbaaabbababaabbbbaaaaaaaabbbabbababbaaaaaaabbbbbbbaaababbaaababababaabaabaababbbabbaabaaabaababbbbabaabaaaabaabaabbbbabbabaaaaabaaabbbbaababbbabbbbbbababbabaaabbaaabbabaaabbabaaaaaabaabbaaaabaabbbbbbaabbabaaabaaaaabaabbaabaabbababababbbabbbabbbbbbaaaaabbabbbbabbaabaaabbbbaaabbbabbbbbbbaaabaababaaaaabbaaaabbbaaaaaabbababababbbababbbabaaabbbaabbbaaababbbbbaabaabbbabbbbabaabbabaabbbabbabbababaabbaabababaabbaaaaabbbbabbabbbbaabaababaabbbaabaaaabaabbbababaaaaaaaababbababbbbbbabababbababbbababaabababaaababbaaabababbabbabbbbbbaaabbaaaaaaaababaaaabaabaaaabbaaaaaabbaaaabbbabababaaaabbaabbaabaabbbbaaaaaaaabbbabababaaaaabaaababbbbaaabbaaaabbabbaababbbaaaaaabaabbbbabbbaaaabbbabaabbababaaabaabbbaababbabbababbbababbaaabbabbbaaabbabbaabbbabaabbbbbababaaaaabbbabbbbbaaabbbbbabaabbbbbbbbbabbbabbababbbbaaaaaabbababbabababbbbabbabaaaababbabaababbbabbbabbbbbbabbbabbaabababababbabbaababaaaababbbbabbaaaabaaaabababaabaababaaaaabbaababababbbaabbbaababaabababbbaaaabbbabababbbababaaababaaabbaabbabbbbababababbbbaaababbbaaaaaaaaabaabbababbbabbabbbaabbbaabbabaababbbbbbbbbaabaababbbabbaabaabaabbabaabbbbababbabbbbbbabaaaaabaaaabaaaabababbbaabaaabbabbaaaaaaaaaaabbabaaabbaabbababbbaabaabbbbbbabbbaaabbbabbbaabbbabababaaababbabababbabababababbababbbabbbabbabaabbabbaabbbaaaaabbabaababaaababaaaaaababababbbabaaaaaaabbabaabaaabbbbbbaaaabbaaabbaaaabababababbbaababbaabbbbbaabaaababababaabababababaabbabbaaabbbaabbabbbabbabbaaaaababaaabababbabbbbaababababaaaaaabaaabaaaaaabbaaaaabaaaababaaababaabbbbbabaabbbbabbaabbabaaabbabbabbbbbaaabbbaabbababbabbababbaaaaabaaaabaabaaabbbaabaababaaabababbaaaabaababaabbaaabaaabababaaaabbbababbabaabaabababaabaabbabaabaabbaabbbbabaaabababaaaabbaabaabbaababaabbabbabaabbabbaabbaabbaabaaabbaaabababbbbaabaababbbaaaabababbabababbbaaabababbaababaabbaaabbbbabbaaabaaaabbaaaaaabbababaabbaabababbabbabaababaabbabbaababaaaabbaababbbabbbbababaabaabaaabbbabbbbbaaabbabbbbabaabbbbababaabbbabbbbaaaabbabbbababbbbabbbbbbbababaaaaabbaaabbababbbabbbbbbbabaababababbabbbbbbababbabbbbaabaaabbbbaabbaaabbaaababbbbabbabaaaabababbbbaabbaabbabbabbbbbabbbbabbaaaabbabbbbaaaaaaaaaaaabaaaabaaaabaaababbaabaabaaaaabbbbabaabbababaabbbbbaabaababaabaababbbbaaababaabbbbabbaaababaabaabbaabbabaabaaaaabbaabbbabbabbaaabbababbaaaaabbabbbabaaaababaaaaaaaabbbaaaabbaaaaaaaabbbbababbaaaaaabaababbaabbbbbbaaabbaabbaaaabbababbbaabaababbaabaababbbbaabbbaaabbababaabbaabbbaaababbbbbaaaaabbbbbbbbbabbabbabbbaaababbbabbabaaabbbaababbabaabababbaabaaaabbbbaabbabaababaaaabaabaabaababbbbbabaabbaaaaaababaaaabbbbbbabbbbbaababbaabababaaabaabbaaabababbbbababaabaabaaabbaababaabbaaababbabaaaabaabbaaaabbbabbbababaabaaabaabbbaaaaabbbaabaaabbabaaaaabbbaaaaabbabbbaababaaabbbbbbaaaaaaabbbbabbbabbabaababbbaabbbaabbababbabaabbbbaaaababbaabaaaaabbbbbaababaabaabababbaaaaaabbbaaaaabaaaabbabbbaaaaaaaababaaababbbabbaabbbbbbaababaabbbababbbbaaabbaababbbabaaaabbbabbbaabbbbbbbbbbabbbabbababaaaabbaaaabaabbbbaabbbbaabaabaabababbaaababaaabbaaabbbbbbaabbbaaabababbabababbbaaaabbaaabaaaabaabbaaaabbabbabaabbaaaaaaabaababbaaaaabaabaabbabaaababbbbabaabaaabbbaaaabaabbbbabababaaaaababaaabbabbbaaaabbaababbabbaabaaabaabbaaababbaabbabbaaabaaaaabbaabbbaaabbababbbbaaabbaaaabaaabbbbaabbbabbabbbababaaaaaaaabbaabbabaaaabaaababbbabbbaabbabbbbaabaaabababbaaaaaaaabababbababbbbbbabababbbbabaaababaaaabbbabaaaaaabbabaabbaaabbaaaababbabbbabaabbbababbaaabbababbababbbbbaaabbbbbaabbaaaabbabbbbbaabbbaaaaaaabaaaababbbababbbaaabbabaaabbbbaaabaaabaaaababaababbbaabbbbbabbbbabbbabbabaabbbabbbbbbabbbbbaaabbabbbaabbbabbabaaabaaabbaabbbbaaaabaaaaabaaabbaabababaaaabbabababbbbbbbabaaabbbaabaaaabbaaaabbababaaaaaabbbbbbabbbabbaaabbababbbbababaaaababbababbbbbabbbbbaabbbbaabbbbbaabaabbbaaaabbbbabbabbbbbbbbbbbabbaabbbabaabbabbbbabaabbbbbabbbbbaabbababbabbbbbbbabaabaabbaabaaaaaaaabbbaaaababaaaabbababbbbaaaaaabaaababaaaabaabaabbbabbbaaabbaabbaababbaaaaabaabbaaaaaaabbbabaabbabaabbbbbababaaaaabaabababaabbabbaabababbbaabbbbbaaaaabaaababbbbabbaabbaabababaaaaaababaaabbaabababaaabbaaabbbbabaaaaaabaabaaaabaabbababbbabbabaabbbaaabbabbbbaabaabbaaabbbaaabaaababaaabbabbbabbabbabaaaabaabbaababaabbabbbbbbbbababbbabaababababbbbbbaaaabbbbabbbaababbaaababaaaaaaaaababbaaaaabababbbabbaaaabbaaaabbbbbbbabbbbbaaabaaabbbaabbaaaaababbbbababbaaabaabbaabbaababbabaaaabbbbbbaabbababbbbbbabaaaaaaabaaabbbaababbbabaababbaabbababbbbbabaaaaaaaaabbbbbbaaaabaabbaabaabaabbbaabbaaaababaababbbbbaababbabbaaaaabaababaababbabbbaabbbabbbababbabbaabbabbbbbabaaaababbbbbabaaabbbaaaaaaabbaaabaaaaababbbbaaababbabbbbbabbaabaaaaaaabbababbabaabaaabaababbbababaabaabbababbbbaababaababbbaaaabbbabbabababaaaabbabbabaabbbbbaaaabbaaabaabbbaabaabbbabbabababaabaaabbaaaaaaabaabbabbaabaabababbaaabbbbbbabababababbabbbbbbabbababbaaaaabbbabbababbaabaabababbbaaabaaabaaababaababbbabbaababbabbaabaaabbaabababaabbababbabbabaabaababbbbbbbbaababbbbabbabbbaabaabbbabbbbbabaaabbaaaaabbbbbaaabaaababaababbabbbaabbbaabbbbbbbbabababababbbabbbaabaaaaaaabbbabbaabababbbaababaabbbbbbbbabbaabaaabbabaaabbbaaaaaaaabbbbababbbbbabaaaaaabbbabaababbababababaabbbabbbabaaabaaabababbbbabbabbbbabababbaaaabbaabbaaabbbabbabbbabaaabbbabbabbaaababbbbbaabaabbbbaaaaabbabbbbbbaabaaaaabbbabbbbbaabbabaaabbaababbbbbbbaaabbabbbaabbabaaababbbbbbabbabbbbaaabaabbabaaaaabbbbbbababababababaababaababbbabaabababbabbbbbaabbabbbabbbbabaababbbbaabbaabbaaabaabbabbbaaaaaaaabaabababaaaabbaaababbaabbaaaabbaaabbbbababbaaaabbbaabaabaaababbaabbabbbbbbabbabbaabbbaaaaaaaabaaaabbabaaabaaaabbbbaabaaaaabbbaabbabaababaabbabaabbbbbbbbaaaaabaabbbababaaabbabababbbbaaaabbabbababaabbbbbbbbabbbabaaabbabaaaabbabbbabababaabbbbabbbbbaabbabaaaaabaaabbaababbbbbabbbbbbbbbbbababaaababbbabbaaaabaaabaabbbabbbabaaabbbabbabbbabbbbbbaaabbabbaaaaabaababbbbaaaabaabaabaabaabbabbbaaabbbabaabaabbabaaaabaaabbabbbbaabbbbbaababaabbabbbabbbbaabaaabaaabaabbaaaaaabbaabbaabaaaaaaaabbbbbbabaaabbbabbaaaaabbbbbbbbabbabababbbabbabbaaaaaaabaabbaabbbabbaabbbbbbbaabbbaabbabbabbbabbbbababbaabaaaabaaaaaaabababababaaaabaabbbbbaaabbabbbbbabbabbbbaaabaaabbaababbababaaabbbbbbbbbbbbbaabbbbabaaabbaababbaabaaaabbaabaaaaababbbabaabaaabaaababbbaabbbaababbbbbaababbaaaaaaabaaabaaabbbbaaabaabbbbaaaabaabbbbbbbabbabbbbbbaabaabbbaabaabbaaabbbbaabbbabaaaabbbababaaabbababbaaabaaaabbbbaaaababbbbbabaabaaaabbababaabaaaababbbabbaabbaabbbbbbbbabaaaabbaaabbbbaaabbbbbaaaabbaabbabbbbbaaabaaaabbaababbaaaabbaaaabababbbababbbababaababbbbbbbaabbaaababbabaabaabbbaababbbbbaaabaababbaabbbaaaababaaaabaaabbbabbaabaabaabaaaaabaabbababbabaaabbaaabaabbbbbababbbbbaabaaabababbababababbaaabaabbaabbbababbbabaaababaaaaaabaaabaabaabaababbbbaaabaaabbaabbabaaaaababbabaaabbabaababbaabbabbbabbabbbabbbaaabbabaabaaababbaababbabababbbbbbbaaabbabbbabaaaaaaaababaaababbbabbaabababbbbaaaabababaabbbbbbbbbaabbbbaaabbbabaaababbabbaabaaabbbaaaaabbbbabbbabbbabaabbbbbbabbaaaabbbbbbbaaabbaaabbbbaaaaabbaaaaabaabbaaababbababbaaaaaaabbbbbaaabbbbbaaaabaabaabbaababaaabababaaabbbbaabbbababaabbaabaaabaabbaababaababbbaaaabaaaababababaabbbbabbbbabbaaaabbbbabaaaababbbaabaabaababaaaaabbbaababaabbbabababbbbbabbabbababbaabbbbbaababbaabbbaaabaaaaaabbababbabbabaabaabbbabbaabbabbabaabbbaabaabaaababbaabbbaaababbaabbbaaaaabaababbaaabaaabbaaaaababaaaabbaabbaaaabababaaaaabaababaaaaabbbbabaaabaaabbbabbabbaaababbbbabbbaaaaaaababbabababaabbbababbbbabbaabbbabbbabbabbaabbbbababbaababaabbbaaaabbbabaaabbbaababaaaaaabbbaababaaabaaababbbbbbbaaaabbbaaabbabaaabaababababbababaaabaabbbbbaaabbabaaaabaaababbabaaaabbaabbbaabbaabaabaaaabbabbaabaabbbababbababababbbbaabaababababbbabaaabaaabbaaabbbabbbbabbbaabaaaabbaabbabbbabbaabbbbaabaaabbabbabbbaabababaaaaabbbaaaababbaabaabbaaababbabbbaabbaabbbaaabababaabaaaaabbbabaabbbabaabaaaabaaabbaabbbabbbaaaabaabaaaabbbaabaaabbababbbaabbabaaabbabbbbababaabbaaaaaaaabaabaabaaaabbbabaabaaaaaaababababaabbbaabaaabaabaaabbaabbbaababbbbbaabaaaababbaaabbbabaababaaaababaaabbaaababbbbabaaaabbabaaabbbaaabbbabbaababaabbaaababababbaabbbaabbbabbabbabbabbbababaaababbaaababaabbaababbbbbabaabbaaaababbbaabbbaaababbbbbaaaaaabaabaabababaabaaaaaaabbabbababbbbbbbbbabbbbabbbbaabababbbaaabaabaaaaababbbbaababbaaaabbabaaaabbaabbbbbbaaabbbabbaaaababbabbbababbabaabbabbbaabbbabbabbabbabbbbaaaabaaaabababaabbaabbbbbbbaabbbaababaabbabbbaabbabbbabbabaababaabbabaaaabbaababbababbbbbbabbbbbbbbbbaababbbababaabaaabbbaaaaaaabbbaaabaabbbabbbabbabaaabbaaabbbaabbbbaaabbaaaabbbbaaabbbabbaaaaabaaaabaabaaaababaaabaaaaabababababbabaaaababbbbaabbbaabababaaaabbabbbabbaaabaaaabaabbabbbaaaaaababbbbaaabbbaaabababbaababbaababbabbababbbbaababbaaabbabaababbbbbaaaabaababbbbbabbbaaaaababababaaabbbbbabababbababaabababbbbbbabbbbaaabbbababbbbbaaaaaabbaabbbbbaabbbbbbbaabbaaaaabababaaababbabaaaaaaaabbbbabbaaaabbabaaaabaaabbabaaaaaaaaababbabbabbabbabbbbabbbbaaabbbbaaabbbababbaabaaaaababbbaaaaaaaabbbbbaaaaabbbbaaaabaaaababbaabaababbbabbaaaababbabbbbbbbaaaabbabbaabaabbaaaaaabaabbabababbabbbabababbbbabaaabbbbbabbaababaaabbaaabbaabaaaabaaaaaabbbabababbaabaabbbaaabaabbbaaaabaabbbabbbbbabbbababbbbbaaabbabaabbbbaaaabbbbaaaaabbbbbbbbaabbaaabaabaaaabbbbbbbbbaabaaababbaaaabbaabbaaaaababbbbaaaaaabbabbaabbbbbbaabaaaaaaabbbbaaaababaaabbbaaabbbbaaabbababbababbaaababaaabbaabaaabbbbbbaabbaaabbbbaaababbabbbaababaaaabaabababaaababbabbaaaaaaabaabbaaabbaabbbbabbaaaabaababababaabaaaabbbaabaaaabbabaaaaaabbaabbabaaaabaabaaaaaabaaabbbaabababbbbbbbaaaaaabbbaaaabbabbbabbaaaabaababbbabaaaabababaaaaaabbababbaabbaaabbbaaaabaaaaaaababababbabbbaaaabaabaababbbbbababaababaaaabbbbbbbaababaaaaaaaaababbaabbbbaabbaababbabababbabaabaabbabbaaaaabbaababbbababaaaaababaabaabaabbabbbbbbbbabaaabaaabaaaabbaabaaaaaabbbabbabbaababbbbbaabbaabaaaabbbaabaaaabbbaaabbbaaaaaabbbbaaaaaabaabbbbabaaaaaaabababaaabaababbaababaaaababbbabaaabaaabbabbaabaaaabaababbaabbbbbaaabababababbbaabbaababbabbaaaaaaaaaabaabbababbabbbabababaaabaaaabbbaaaaabbababaaabababbaaababbbaabaabaaabbaaaabaabbaaaaabaaabbbbbbabbbbbabbabaabbbbbbaaababababaabaababbbbbaabbabbaaabaabababbabababababaaaaaabbaaabbaaabbbaaaaabaaababaaabbabaabbbaaaabaababbbaabbabbbabbabbbaaaababbabbbbbababaaaaababbbbaabaabbbabbbaaaaabbbbbabaabaababbabbabbbabbaababbbbbabbaaabbaaabbbbabbaabbabbaaabbbbabbabbabbbabaaabbbbabaabbaabbbabbaaabbbabbababaaaabbabbbbaaabbbbabaabaaabbbaaaabbbbbaaabbbbabaaaabbaabbaaaabbabbbaaabbbbabaaaaabbbabbbabaabaaaababbabbbaaabbabbabababaabbaaaaaabaababababbbbbbbbbaabbbabaabbabaabaaababbbaaababbbbaaaaabaabbbbbabaababbbaaabaaabaaaaabbbbbbbbabbaaababaaaaaaaaabbaaabbbabababaabbbbababaaabaabbbabbaababbbabbbbaabbaabaaaabaabbabbbaabaaaababbaabaabaababaaabaaabbabbbbbaaababaababbaabbbbbaabaaaaaababbbababbaabbababbaaabbbaabbabbbbbbaabaabaabbababbbaaaaaaaabbbaaabbabaabaababaaaababbabaaaababaababbbaabbbaabaabaabbbaababaaababbaababababbbaababbbbbbbbaabbbbaabbbbbbbbaabaabbbaabbbbbabbbbbaabbbaabaabbaaabaabbbbaaabaaaaabbbbbabaabbabbaabbaabbaabbabbababaabaabbaabbbbbbaaaabbbbabaaaabaaabbbabaaaaaabbaaaabbbabbbbbaaaabbabaababbaabbaaabbbbbbaaaabbbababaabbaaababaabbaabababaabbbbbaabaabbbabaabbbbaaaaababaaabbbaaabbaaababaaaabaabbbaaabaaababbabbabbabbbaabbaaabbaabbaabbbbbbabbaababbbbabbaaaabbababbabbbaabaabbabbababbbbbbbaabababbabaabbabaaaaaabbbbbbbbbabaaabbbbabbaababbbaabaababbabbbabbbbbbaaabababaabbaaaaaabbaaabbaababbbabaaababbabaabbaabbaabbbbbbababababbababaabbaabbaabbbaabaabbaaaabbaaabaaaaaababbabbababababbabbbaabbaaababbbabbabbbaabbbabaaabaaaabbaababaabbbbaaaaaabbaaabaababaabbbbabbbbbababbbbabbbabbbabbbbaabbababaabbabbbabaaaaaabaaabbbbbbbbaabbbbbbbaabaabaaaaababbaaabbbaababbabbaabbbbabbbbbaaaaabbabaaabbabbabbbaabbabbaaaabaabbbabaaabababaaaaabbbaabbbbaabbababbabbbbbbbabaaaabbbbbaababbabbbbbbbabbabaabaabbbabbabaababbaaabbbbbbbbabababbabbabaababbababababbbabbbabaabbbbabbbbbababaaabaaaaaaaaababbbbbabaabaabababaabbaabababbaabaababababbababababaabaabbabbbbbbaababbbbbabbaabbbaababaaaababaaaaabbabbbbabababbabaabababbabaaaabaabbbbaabababaaaabaabbabbaabaabbbbaaaabaaabbbaabaaabbaabaabbaabaaabaabaaaaaababbabaaababaabaaabbbbabbbaabbaaabaaaaaaabbbbabaaabbaaabaaaabbbaabaaaabaaaaaabbabbaaaaabbaabbabababbbaaabababaabaaaabaaabaaabbababbaaabbbabbabbbbbbbbaaababbaaabaabbbaaaabababaabbbbabbbbbaabaaabaabbbabaaaaaabbbaaaaababbbaaababaaaaaaababaaaaabaaabbaaabaababbbabaabaabababaaabbaaaaabaaaabaabaaabaabbbbaabbaabbabbbbbbbbbbbbbababbabbbbbbaaaaaabbbbbbbbbbbbbbbababaaabbaaaababbaabbbaabaabbababbbaabaabbbbabbaabbbbbaababaaaaaabababbbbbabbaaababbaabaabbbbabbaaabbbaaababbababbabbbaabababbabaabaaabbbbabbbaabbaaaaabaabbbbababbabbbbaaabbbaabbabbbaabbbbaabaaaabababbaaabbbaabbaabbbbbbaabbabaabaaabbbabababbabaaaaaabaabbabaabaabbabababaaaabaaaaaaabbbaaaabbabaababaaaaaabbabaabbabaabbabaaabaababbaaaabbbabbabbbabbbabaabaaabbbbbaababaabaaabaabaaabbbabbbbababaabababaabaaabbbabbbbbbbabababbbaaaabababbaaaaaaababbabaaaabababaaabbbaabbbbbabaaaabaaabaaaabbaaaabaaabababbbbbaaaabaabaabbaaaabaabbbbaaabaaabbaababbbaabbaabbaaabbaabbbaaabbbbabbaaabbabaaaaaaabaaabaaabababbababbaaaaaaababbbbabaabaabaabaaabbbbbbbbaaabbbbbabbabaaaabbabbabaaaaabbaabbababbbbbaabababbabbaabaabaaaababaabbbaabaabbaabbababbabaabaaabbbbaaabaabaaabbbbbbaabaababbabaaabbbabaabbbbaaaabbabbaaababbbaababbaaabaaababbbbaabaabaabbbbbbbaaaaaabaaaaaababbbbbabbbbaabaaaaaababaaababbbbabaaababababbbbbabaaabbbababbbababaabbaaaabaabaaaaabaabaabbaabbbaabbbbaaababaabaaaaababbabaaabaaaabbababaaababaaaabbbbaabaabababbbaaaabbbabaabaabaaaabbabaaaabaabbbabbaaabbaaaaaaabaabaaababbaaabaabbabbbbabbabbbbaababaaaaaababaabaaabaaaabaababbaaaabababababbbabbbaaaaababaababbabbbbbbaaabaababbbaaaababbbbaaabbaababbbabbbababaaabaaabaaaaaababaabbbbaabbababaaaabaabbaababbbababaaaaabbbaaaaaaabaabbaaaaabbbbaabbaabaabaabbbbbaabbabaabaaaaaaabbaabbabaaaaabaabbaabbbabbaaaaabbababbabbbbabaababbbabbbaaabbbbaaabaaabaaababababbbbaaabbabababaabbbaaaabaaabbbbabbbaababaaababababaaabaaabbbbababbbabaaababbbbbbabbaaababbbbaabababababaabbbbaabbaabaabaaaabbbbaabbbabbaabbabbabbaabbaabaabaaaaabbaaabbbbbbbbabbbaaaaaabbbbbbbbbabbbaabbbbaaabbaabaababaabbbbaaaaaaaaaaababbbbbbabababbbbabababbaaaabbbbbbabaaaababbaabaaababaaaaaaaaaabaabbbbaaaaababbaaabaaaaaaaaabbbbbbbbbbbbabbbaabbabaabbababaaabbaaababbabbbabaaababbbababbbbbbaabbababaaabaaabababbaababaaabababbbabbbbbabbabaaaabbbbabbabaabbbbaaaaaabbbabaababbabbaababbbaabbbabbaababaaabaabbababaabaabbbaaaaababbaaabbabaaabbbbbbabbabbbabbbbbbbbbaaaaaaaabbbaaabbbbbbbbaaaabaaaababaabbaaabbabaabbbbbbbabaabbaaaabaabbbabaabbbbaaabbaaabbbabbbabbababaabbabbbbbbbbabbbaaabababbabbbbbbaaaaababaabaaaaabbaaaaaabbbabbaaabbaaabbabbbbbaabababbaaaaaabaaabbbbbbaaabbbaaabaabbbaabbababababbaababbabbbababaaaabbbaaabaabaaababbabaabbbabaaaabbababaaaabbaabbaaaababbaaabaaaaabbbbbaaaaabbbbbbaaabbaabaabbbbbaabbabababbbbaaababaabbbababaabaaabbabaababbbbabaabbabbaabbabbbbabaabbbbbabaaaaabaabbaabbaabbbaaababbaababbbaababbaaaaaababaaabaaabaaababbbabababaaaabbaaabbaabbbbababaaabaaaaaaababbbbaaabbbabaaabbbbaaabbbaababaabbaabbababbbaaabbaabbaaabbbbababbaabbabbaaaabbbbbaabaabbabaabaaabaaaababbbbbbbabbbaaaaababbaababababbababaaabbababaaabbbbaaabaaaaaabaaabaabbababbbbbbabbaaabbbbaabbbaaaabbbaaabaabaabbbbbbababaabaabaaaabbbabaabaabababaaaaaabbaaabaababaabaabbbbbabbabbaaaabbbbaaaaabbbaaaaabbabaabbaaaabbbbbabaaabbabaababaababbbbaaababbbaaaaaaaabaaaaabababaabbbbabbbbbabbabbbaaababbbbbaabaaaaaabbbbaabaabbaaaaabbaabaaaabbbaabbaabaabbabbabbbabbbbbaabbbaaabbabbababbabbaaabaabbbaaaabbabbababbaaabababbbabababbbaababbbaababbbababaaaabbbbabbbabaabbaaaabbbbbabbabbababaabbaaabaaaabaababbabbababbbbbbaaaababbabbababbbabaabbbabbbbababaaaaaaaaaababaabaaaabaaaaaaaabbabbbbbabaabaabbaaaababaabaababbbabbaababababbbbbabbaaabaaababbaababbbaaaabbabbabbaaabbbbaabaabbabbbbbbbbabbaabababbbabaabaabaaaabbbabbbbbabbabbabbbbbaaabbbbbabbaaaabaababbbbababbbaaaabbbbabbbaaabbbaaabbaaabababbababaabaababbbaababbbbbbabababbbbbabbaaababbaabbabbbbaabbbaaabbbbbbaabbaaabbbabbbaabaaabaababbaabaabaabbbbbabbabaabbaaaaaabbbabbaabaabbbaabbbbbbabababaabbabbbababaaabaaaababbbaabbaaaaabbaaaaaaaabaababababaaaaabbbbbbababaaaaaabbabbbbabbbbbabaabaaaabbbabbaaaabbaabaabbababaaabbabbbbaabaaaaabbbbbabababbbbbababbabbababbaaababaabbbaaabbaabbabababaaababbbbabbbbaabbabbaaaabbababbabbbabbbabaaaaabbbbabbaababaaabaabbaabbabaabbaabbababaaabababbaabbbabbaabbaabbbbabbbabbaabbabaababbbababbbabababbabbbbabaababbbbbbbababbbbaaaabbaabbabbaababbaaaaaabababbababaaabaaabbabbaaaaababbbbbabbbaaabbbaaababbbababbaababaaababaabbbaabaaaabaabaaabbbabababababbbaabbabbabaabbbabaaaabbababbbabaabaaabbabababababaaaabbbbaabaabbabababbabbbbabaaabaabaaaaaaaaaaaabaaabaaaaabababaaabbbabbabbbbbaabaaabbbbaabbbbaabbabbbbabbabaaaabbaaaabaababbbbbabaabbaaaaaabbaaaaabbaaaaaaabaababaabaabbbbabbbbabababbaabbaaaaaaabbbabbbbbabbaabbbabbbabaaabaababbbbabaaaaabbbabababbaaaaabaaabbbbaaaaaaaaabbabaabbbaabbabbabbabbbabbbbbabbaaabaaabbaaaaababbbaabbaaaaabaaaabbbabbbbbababbbbaaabaaabbbbabbbbabbabbbabbaababbabbbbbababababbbbaababaaaaaaaaaabbbaaabbabaabababaaababbabbaabaabaaabaababaaaababbbbbaabaabbbaabbabbabbaaaababbababaabbaaaaabaaababbabaaabbbabbabbaaaabaaaabbbbaabaaababaabaaaababababaabababbabababbaabbbaaabbbbbabbbabaaaabbbbbaaabbaaaabbbaaaabaabbbbbbabababbabbabaaaabaaaaabbbaabbaaababaaaabbbbbbabaabbbbbbbbbbbababbaabaaababaaaabaaaabbbbaaababaaabbaaabaabbaababbbaaaabbbabaaaaaabbbbaaabbbbabbbbbabaabbbbbabaabbabbbbaabaabaaaaaaabbbaaabbbbaababaababbaabaaabbbbbaaabbabbbaaaaaababbbabaaabababaaabbaaabbaaabbabbbbabbababababbbbbaabbaaaaaaabbbbaaaabbbbabbabbbaaaaabbaaabbbaaaabbaabbabbbababbbaaaabbbbbbaaaabaaaabbbbbbabbabbbbaaababbbaaabbbbabaabbbabababaabbbbabaaabbbbbbbaabbabbaabaabbbabbaababaababbabaaababaaabbbaaaababbbabbaababababbbbbbbbaabbbbbaaaaaababaaaabaaabbbbabaabaaabbababbbbabbbbbaabbbabaaaaabaabaababababbbbabaaababaaaabbaabababbbaaaabbbbbbabbbaabbaabaababaaabaaaaaabbbbbaaabbbbbbabbbababbaabbaabaabaabbbbabaabbbbabbaaabbbabbbbababbaaabbbbaababaabbbabaaaabbabbabbabbaabbbbabbbbbbbababbbbabababbabbaaabaabbaaaababaabababbbaaaaabaabbbaabbbbababbababaaaaaaabaaaaaaabbababaabaababbbabaaabbabaabbaaaaabababbbbaaaabbabaabbaabbabbaaabbbbbbabbbabbbabbbbabbbbabbbababbaabbaababbabbaababbbbbaaabbaabbaaabbbbbabbbabbaaaaababbbaabbbaaaaabbbabbbababaabbbbaabaabaababbaaababaabaabbbaaaabbabaabbbbabbabababbaaabbbaabaaaaabbaabbbabbbaaabaabbbaabbbbbbbbaabababbbabbbbababbaababbaaababbaaaaabbbbaabbbaaabbabaabbbabbbaabbaaabbabaaababbbabbbaaaaaabaaaabbaabaabaaabaabbbabbbababbabbabbaaaabaaabaaabbabbaaabbababbbaaabbabbbbbaabbbaabbbaaabbbbbbbbbabbbbaaabbabaaaabbbabbaaaaabbaababaabbbababbbbabbaabaaaababbbabbbaaabaabbaabbaabaaaababbaabbababaaaabbabbaabaaaaaabbababaaabbbbbbbabbbaaaabaaababbbaabbaabaaabbaabababaabbaabaabbbaabbaaabaabbbbaabbbabaaabbbabaaaaabaaaaabbbbbaababaabaabbbababbbaaaaaabbbbbabbaabbbbaabaaababaabababababaabbababaababbbaaaabbaaababaaabbbababbbbabbbbaabaaaabaaaabaaabaaaaaaababaabbbbaabababaaababbbaababbbbbbbabbababaaabbabababbbaabbababbaaaabaabaaabbabbaabbbbaabbaaababaabbbbbbabbaaaaaababbbabbababbabaaaababaaaabbbabaabbbbbbaaabaabbbabbbaabaaabbababbbaaabbabbaabaabaaaabbababbabaabbaababbbabbabbbabaabbabaabbaaaabbabaaaaaabaaaaaaaaaababbbbaaababbaabbabbbbaaaabbbaabaabbbbababbabbbaaaabbbabbabbabbbaabaaabaabaabbbaaabbbaabbabaaabbbaaabbbabbbbaaaaaabbbbababbbababbaaabaaaaaaabbaaabbbaabaabbbaabbabbbbbabbbbaabbbbabababbaaaaabbaaaabbaabaabaaabaabbaabbbbababbababaabaabbbbaaaabbabbbbabbbaaabaaababbaabbbbaaabaaaabbbbaabbbbbababbbabbbbbaaaaabaababababbbbbabbbbabbbaabbbbbbabbababbbbbbbaabbbabaaaabbabaabaabaaaabbaaabbbababbabbbbbaaabbabababaaababaabaababaaabbaaabbabaaaaaaabaabbabaababaabbabaabbaaabaabbbaabaabbabababbababbabbabaababaaabbbaabbaaaaabaaaaaaabbababbaabaaaaaabbabbababbbaabaaaaaabbbaaababbaababbbbbbbbbaabbbbbaaaaabbabaababbbbabaababaabbbbaabbbbaababaabbabaaabbaabbbbbbaabbbbaabbbabbbabbababbaaaabbbabaabaaabababbaaaaaabbaaaabbbaaabaabbabbbbaaaabbabbaaaabbabbbbaabbabbabbbbaabbaaaaaababaaaabbaabbaabaababbaaaababbaabbaababbbbbbabbbbabaaaaabbaaababbbbabbbabbabbbaabbbabbbbabaaababbaaabaaaababbbbbbabaaaaaababbbaabbabbbabbbaaabbaababbbbbaabbbbbbaaabbaababbbbaababbaaaaaaababbabbaaaaabababaaaabaaabaababbabbabbaaaabababbbbbbbbaaaaaabaaabbababbabbaaaababababbbbaaaababbaabaabbaabbababbbabaabbbaabbbaabaaaabbabbbbbbbabaabbbbaaaabbabaaaabababaabbbababbaabaabbaaaababaabbaabbbabbbaabbababbbbabbaaabbbabaaaabaaabaababbababbbbaabbbaabaaabbbaaababbbaabbabbabbbbbbaaaabbbbabbbaabbabbbbaabbabbbabbaabbabbaabbbbaababbababbaabbaabbaaaaaaaabbaaabbaabbbabbaaaaaabaaaabababbbaaabbbabbababaabbbabbaabbbbbabbbaabaabbbaabbaaaaaabbabbaabbbbabbbbaaabaabbbaabaabaaaababbbabaabaabaabbabaababaaaababbaaaabaaaaabaabaaabbaaababbaabaaaaaaabbbaababbbabbbaaabbbaaababaaaabaaaabbabbabbaabbababbababaabbaababbbbabbaabbabaaaababaabababbbaaaababbbbaaabababaabbbaaaaabbbbbabaaabaabbabaabbbbbbbbaabbbaabaabaaaabaabaaaabbabaabbbbabaabbaabababbabbabbbbbbbbbbbaaaaabaaabbbbaabbbbbaaabaaabbbaaabbbabaababababaaaaababaaabbababaabaabaaabbaaabbbbabbaabababbbaaaaabbbbaabbbaaaaabbaaaabbbbbababaaababbbababbaaaabaaaaababbabbabbabaaaababaabbbbabbaabaaabbbbabbaabaaaaabbbbabbbabbabaabbbbabbabbaaababbaababbbaaababbbbbabbbabbabbbbbbbbbabaabaabbbabbabbabbaaaaaabbabbaaabaaabbabbbabaaabbababaabababbbbabbbbaabaaaaaaaaabbbaaabbbbabbbbabbaababbaaaaabbbbaaabbbbbababbabaaabbbbababbbabbabaabbbbbbbbababbabaabbbbabbaaabbbbbbabbaaaababaabbaabbbbaaabbababaabbaababaaababaaabbaabbaaabbbbbbbbbabbbaabbabababbabaaabbabaabbbbaabaababbbbbabbbababbbbaaabbaaaabababaaababbabbababbaabaaaaabbaaababaaaabaababbbabbababbababbababbabbbabaaaabbaaabbbabbbbaababbbbaabbaaaaaaabbaababaababbbabababbbaabbbbbbabaabbbaaaaabaabbbbbbababbbaabbbbbabaaabaabaaaabbbbbabbbaabaaaaaaabaaaabbabbbbbbaaabababbbaabaabbabababaaaaababbabaababbaababaabaababbababbabbbabaabbaabbaabbbabaababababaabbbbbbbbaaabbbabbbaababbaabbabbababaabbbbabbababaabbbabaaabbabaababbbbbabbabbbabbbaabaabbbbbaababbbabbbbbaabaabbbabbabaaaabbaabaaaabbabbbbabbbaabbbbbbbaaabbbbbababbbbaabababababbbaabbabbaabaabababbabaaabbbbbbbabaaababbabaaaabbbbaaaabababbaabaaaabbabbbaabbababbbbbaaabaaaaaababbbaabababbabbabaabbbabbbaaabbbbbababaaaabbbbbbbabababaabbbbbaabaaabaabaababbbabbbabbbbbbabababaababbbaaabbbbababbbbabaaaaaaabaabababbaaaabbaaaaabaaaabbaababbaabbaaaabbbbbbabababbbaabbbbabbbaabbaaaabaaaaaababaaaaabbbaaabbaaababababbbbaabaaabbabaabbaaabababbabbbaaabbbaaaaabaabbaabbbababbaabbbababbaabaabaabababbabaabababbbbabbbbbaaaababbbbbbbabbbaaaabbaaaaaaabbbbaabbbabbbabbaaabbaaaaabbbbaabbbaababaabaaaaabaaaabababaabbbbaaabbababababaaabbabaaabbbbbbbbbbbbabbaabaabaababaabbbabbbbbbbbbaaaaaaaaaaabbaaabaabbabaaabbaabbbaaabaabababbbababbbbaaabbbbabaabaaaabaaabbbbabbababaabbababbabbaaaaabaaababbbbabbbbbababbbabbaaaaabaababaaababaaababaabbaaaaabbbabaaaabababaaabaaabbbabbabaaaabbbbbabbbbbbaababbbabaabbbaabaaabaaaabaababbaaabbbaaaabbbaaaaaaabbbaabbabaaabbaabbabaababbaaabbababbaabbbaabbbaaaabbaaababbaabbbaabbaabbaabbaabbaabaaaaaababbaaababbabbabaaaababbbbbbbabbabbbaabaabbbbbaabbabbaabaabbabbbabaabbababaababbabaaabaaaababbbaaaabbbbbaabbaaabbbbbabbaabaababaaabbbbbbbbaaabababbaabbababbabaabababbbbaababbbbabaababaaabbabaabbbabbbbaabaaababababaababababbbaabaaaaabaaababaabbaababbbbbbaaabbaabbbbbaabbabbaaabbabaabaabbabbaabaaaababbbaaaababbaaababbabaabbbaaabbbababbbabbaaababaabaaaaabbbbaabbababbaaaaabaabbbabbbbbabbbaaaaabaabbabbbaabbababaababaaabbaaaaabbbaaaababbabbbbbaababbbaabaaaabbbbaabbbabbbbbaababaabbaabaaabbbaabaabbbbbaababaabbbabbbbabaaaaababababbaababbaababababbaaabbbbbaababaaabaaaabbaabaaabbaabaabbbabaabaaaaabaababaaaabbaaabbbbbbaabbabbabbaaaaaabbaabbabbababbababbababbabababaabaaaabababbaabbbbbbbbaaabaabaabbbbaaaabbbabbabbbbabaababbabbbbbbaaaababbbaaabbbaaaaaabaababbaaaababbbbaababbababbbbbabbabbabbaabaaaabbaabbaabaaaaaababbabbbaaabbbabbaabbabbaabbabbbabaaababbaaaababbaaababbaaaaabbbabbaaabaabababbbabababbaaaaaababbaabbbaabbbaababaaabaabababbabbbaabbbbaabaaabbbbaaaaaaabbbbbaabbbbbaaaabbababaabbbbbabbbababbbbabbabaaaabbaaaaaabbababaaaaabababbbbbbaabbaabbaababbbbbabbbbabbbabbbababaaaabbbaabaaaaababbabbaabbabbbbababaaabaabaabbbbabbbabaabbaaabbbbabaaaabaabaaabaababbbaaaabbbababbbbbbaabaaaaabaabbabbaabbbabbaabbbabbbbabaaaaabaababbbabaaababbbaabbabaabbbaaaabbabbabaaaaabbbbaababaaababaababbabbbbabaaaabbbabbaababaaabbabaaaaaaaabaaaaaabbaabbbabbabaabbaaaaabbaabbbabbbbabaababbaabbaaabbabbbaaabbbbbaabbabbaaaaababbaabaababbbabbababbbaabbbbabaaabaabbbbbabbaabbaaaababbbabbbbbbbbabbbabbbabaabbbabbbbbbaababababbbabbaaaaabababbbbbbbabaaaaaaaaaababbabbbbababaabbbbaabbbbbaababbaaaaabababbbabbbbaaababbbbbbaaaaabababbaaaababbbaababbaaababababbbbabbbaabbbbaaaabaaaaabaabaabbbbbbbabbaaabbbaabbabbbbaaaaabaabbbbabbbbbaaabaaaabbbaabaaababababababbabaaaabaabbabbbabaabaaabbabaaababbbbaaabbbaabbaabbaaaaaaababbaaaaaaabababaaabaaabaabbbabaabaabaaabbbbbababaabaaaabbabbbaabaababbbbbaaaabababbbabaaaabababbbbbbabbabaabaababbaaabbabaaaaababbbaaabababaaabaaabaaabaaaabbaaabbbbaaaaaabaaabababbbaaaaabbbababaabbbbaabbaabbbabababababababbbaaababbbbbbabaabababababababaaaaabbbaababaaaabaabbaabbbaaabbababbaaabbabaaabbabbbbaabbbbbababaaaaaababaaabbbbbbbaabbbaabbbbbbabbabbabaaaabbbbbaaabaabbbaabbaaabbbbbbabababaabbaababaaaaaabaabaabbbbbaaabababbbaaababbbabbbbbbabbbaaaabbabbabbaabbabbababbaababbaaabaabaaaaabaabbbabbbaaabbbaabababbbbbbbbbaabbaabababaabaabaabaababbbbbababaabbbbaaaabbaabbbbaabbaaaababaaabaaabbbabbbabbbbabbbaababbaababbaaabababbbabbabbbabbaaaaabbbbbbbaaabaabaabbababaabbaabbaababbbbbbaabababaaaabbbbababaaaabababaabbabbbbbbbbabbbaaaaabbaabbbbbababbbbababbababababaabaabaaabbababbbaabaabbaaaabbbbbaaabaabaabbabbaabbababbbaaaaabbbbababaabbabbbabbbbbaaabaaababababbbbabaaaababaaabbaabbabababaabaababaaabbbbabaabbbaabababaabbaabbbabababbaaaaabbbbaabbbaaabbbbbbbaabaabbbaabbabbbbaaaaaabbbabbabaabaaabbbbbbbbabaabbbaaaabbababbabbabaababaabaabbbaabaaaabbbbbbbaaabaabbaaababbaaabbbaabbbabaababbbbbababaaaabaaaaaabbbababababbbbbaabababaaaababbaaaaababaaaabaabaaaaabaaaaaabbbbbabbbaaababaaabbbaabbabbaabaaaaabaaaaabbbababbbbaaaababababbaaaaaabbbaaabaababaabbbaaaaaabaababbabbbbaaabbbbbaabbbbabaaabbbabbaabaabbabababbbaaabaaaabbababaabbbabababbaabbaabbbbababbaaaabbbabababaaabbaaabbabbbbbbbabbabbbabaababbbbbaaabbbbababaabaaaabbbbbaaaaaaaaabbabbbabbbbabbbabbbbbbabaaabbbabaaaaaaabbabaabbaaababbabbbaaabaaaabaabaaababaabaaaababaaabbaababbababbaabbababbaaababaabbaaaababbbabaabaabbaaaababaaabbaabbaabbaabbbbabbbbbbabbabbbbaaaabaaabaaaaababaabbbabbbabbbbbbbbbbaaaaabbbbbbbbaaaaaaabbbabaabaabbaabbbbbaaaabbbbbbaabbaabbbabaaabaaaabaababababbbaabaaaababbaaaaaaabbaabbabaabbabbabaaababbabaabaabbbaaabaaabbbaabbaababaaababaabbabbabababaaababbabaabaaababbbbbabbbababbabbaabbbbaaaabbbbaaabbabababaaaabababbabbbbbbabbaaaabaabaababaabbbabaaaabbababaaaaabaaabaaabbbbabaabababbbbaabaaababbbababbaaababababbbabbaabbbbababbbababbaababbabbbabbbbabbbbababbbabbbaabaaaaaaabbaabaaaaabbbaaaaabaaaaabbaaababaaabbbbabaababbbaaabbbababbaaabaabbbbaaaabbbaabbbbabaaabaabbbabaaabababbaaaaabbaaabbaababaaaabbaabaaaabaabababbaaabbaaababababaababababbabbabbbbababaababbbabbaaaabaaabaaabbbaabababaaaabaaababbbaabbabababbaabaabbabbbbbbbbbbbaaaaabbaaababbbabababbbbbbbbbbbabababbababbbbbaaababaabbababaabaaabbabbaabaabbbababbaaaaaabbababaaabaabababbabbbbbaabbaabaabbaaababaaaabaaaabbbabbbabbbbabbaabaabbbbababbaaaabbabbbbabaabbbbbbabaabbaabbabaaaabbabbbababbababbababbababaabaabbaaabbababbaabbbbbbbabaabaaaaaabaabbbbbaabaaababbaaaababbbbababbabbaaaabbbabaaababaaaababaaabbaabbaabaaababbbbababbbabbaaaabbababaaaaabaabbaaabaaaabaaaaabbaabbbbaababbaababbbbbbabbbababbbbbbaaaababaaaabbaababaabbabbaaababbaabaaabaabaaaaabbaabbabbabaaaaababbbbbaababaabbbaaabbbabaabbbabbbbbaaaababbbabbbaababaaaabbabaaaaaabbbbbbaaaaaaaaabbababbabbbabaaaaabaaabbaaaaabababbbaabaababbbabaababbabbbbbbaaabbaaababaaaabbbaaababbabbbbaabbbabbbbabbbaabbabbaaaaaabbbbabbbbaabbbbabaabaabababaabaababaabbbbbabbbbaaaabaaaabaaabbaaaaaababbabaabaaaabbababababbbababbbbbabbbbabbbabaabbaaabaabaabababaabbbababaabbbbababaaabaaaabbaaababbabbaabaababbababbbababababbaabaaaaabbbbaabababaabaaabbabbabaabbbbaaaabbaabbbbbabbbbbbbabbaaaabaabbbbabaabbbaabaaabbaabbbbaaaaabaababbaababaaaaaaabbabaaababbbaababbaaaaaabababbabbaaabbbaaaaababaabbabbbbbaabaaabababababbbbbaaaaabbaabababaabbaabbbbbababbbaaaabbbbbaaabbbbaaabaabbbbabbbabbbbbaabaabbaaaabbaaaabaababbaaaabbaabaababbaaabbbaabababaabbabbbbbbbabaabaaabbabbaaaaaababaaabbbbaababaabaababaaabbabaaabbbaabaaaaaabbbabbabababaabaabaaaaabbabbbbbabaaabaaabaaabbaabbbaabbbbaaaaabbaaaaabbabbabaabaaaabaabaabaabaabababbaabbabbabbbabbbaabaaabbbbaababbaabbababbbaaaabaaabababbabbbaababaabaabbababaaaaaaaabbaaabaabaaabaabbaabbbaaababbababbaabbbabbbbbaaaaaaaaababbababbbbbbbbababaabbbabbaababbaaabbbbbaabaaabbabaabbaaabbaaabaababbbbabaabbbababbababbbbbababbbbbabaaabbbaaabbaaaaaababbabbaabbaaaaabaaaaaaabbbababaabbbbabbabaabbbabaaabaabbaaaababaababbbaaababbabbbaabaabbbbbabbaaabbbabbabbbbbbaabbabbbabbbaaababbaabaaabbabbbbbaabababaaabaaaaabaabbaaabaaabbbabbaabbabbabaababaabbbaaaabaababbababaaaaaababbbbaabbaabaaabbabbbbbbaabbbbabbabbabbabbbaabbbbbaabbbbbabbbbbaabaabbaabaaabbbabaabbbbbbbbbbbbbbaababaaaabaabbbbababbbbbabbbbaaaabaabbbbbabbbbbbabaababaaaabbaaaaaaabbbababaabaaabbbabababababaaabaaababbaaaaaabaabaaabbbababbaaabaababbaababbaabababaaabbababaabbabaaabbabababbbbabbbabaaaabbaaabaabbababaaabbbabababbabaaababbbbbbbaabbaabababaabaaababaaabbaaaaaabbaaabaaabbbbaaaaabbaaaababaaaaabbabaabbabbabaababababaabbbbabbbabbaaababbaababababaaabaaabbabbaababaaaabaabbabbabaaababbabbaababbbbbabaabaaabaababbbabaaabbbabaaaaabaaabababaaaaaaaabbbbbbaaaababbbabaababbabbaaaabbbabbbabbabababbbaabbbabbaaabaaaababbababbaabbbabbaabbbbaabbbbaaabbbbbabaabbabaabaabbbbaaaababaaaabbbaaaabababaabababaabaaaaaabaabaaaaaaaaabbbbbbaaaaaababaabaabaababbaabaababaabababbabbbababbabbabaaabbabababaaaaaaabaaaabbbbbbaabbaabaabbaababbabaababbbbbbaaaababababaaaaabbaaababaaababbbabaababbabbabbabbbabaaabbabbbbbbbbbabababaababaababaababbabbaababbbbaabbbaaaabaaabbabbaaabbbabababbabbabbaaabbbabbbaaabbaaabaababaababbbbabbababaaaabaababaaaaaaaaaabaabbabbaabbbabaaabbbabbbbbabbbbaabbbaabaababaababbabaaabbabbbababbaabbbbaababbabbbaaabbabaababbabaababaababababaabababbbaaababbabbbbabbbaaabaaaabbabbabbbbbbababbbbabaabababbaabbbaababaabaaabbbaaaabbbbaaaabaabaabaabaababbbbaaaaaabbbbbaababaaabaabbaaabbabababaaababbbabbabaaaabbbabbaaaaababbbabaabaabaaaabbbaababaaaaabaaababbbbababbbabbabbbaaaaaaaaabbbabaaaaabbbabaabbbbababaaaaaababbababbabbababaaabaabaabbaabbaaabbbaabababbaababbbaabaaaaaababbbbbaabbbbabbaaaaaabababbabaabbbaabbbbaabbabaaabababaaaaaaaabbbabbaaaabbbbbaaababaaaaaabbbbbabaabababaabbabbababaaabbbbbabbabaabbaabbabaaaaaaabbbbaaabbaaabbabbbbaabbababbbbbbababbabbaaabbbaabbaaaababaababaaabaaabaabbabbbabababaaaabbbaabbabaaabbaabbbaababbabbaabbabbaababaaabababbababbbbabaaabaabaaaabababaaaaaaabaaaabbbaabbbbbabaaaabaaabaababbabbbaabbbabaaabbbbbabaababbaabbbabbbbbabbabbbaaaabbbaabaaababababaabbbbbaaabaaaaaaaabaaababbabbababbabaababaaabaabaabbbbabbaaabaaabaaaaabbbaabbbbabbbabbababaaababaaabbbbaabaaabbabbbabbbbbaaabbbbababbbabbbabbaaabbbbbbaaaabaabaaaabababbaabaabbabbabbababababbbabaabaababbabbabaaabbababbaabbbabbbbaaaaababbbaaaababaaaabababaabababbaabbaabbbabbaaabbaabbbbbbaaaabbaaabbbabbbaabbbbbbabbababaabbabbabaaabaaaabaabbaabbbbbbaabbbbbbbaabbaaabbabbaabbabbbaababbaaaababbaabaaaababaaabababbabaabbbbbaaabbbabbbbabbabaaaababbaabbaababbaaabaabaabbbbbbababbaabbbbbbaaaabaababaaabaabaabaaaaaaaaaabbaabaaabbaaaaaaaaababbbabababbbbbaaabbbbaaabaaaabaabaaaababbababbbaabaaaaaabbbbbbbabbbabbbababbabbbaaababbabbbbbababbbaabaabaabbaaabaaabbabaaaaaabaaabbbbbbaabbabbbbbabaabaaaabbabaaaabaaabbabbbabaaaabbaabbbbaaaabbaaabbababababaabbbbbaaaabbaababaabbbaaabaaaabaaaaabbaabbbbaaabaabaabbaaabababaaaabbbbabbbbaabbabababbabaabaabbbbaaabbbbbabaaaabbbbababaaabbbbbbbaabaabbbaaabaabaabaabbaaaabbaaaabaaabaabbbbababaababbabbabbabbbabaabbaaabaabbabbbbbababbabbaabbbabbbbbbbaabaababbbaaabbababbaababbbabbbaaabaaabbaabbbbabaaabbaabbaaabbabaababbaaababbbabbabbbabbabaabbabaabaaababaabaabbaaabbbbbabbbababbababbbaaabaaaababbaababbaabbaabbbbbbbaabaaaababaabaabbbbabaabbbaaaabbaabaabbabbabbbbbabaaabaabaabbbbbbbbaabbbbaaabbabbabbaabaaabbaabababbbaabbbbabaaabbaaaabbabbaaabbabbbaabbbaaaaabbbabaaabbbbbaaaaabaaaaaabaababababababaabbabbaabbaababaabbbaaaaabbabbbababaabaaaaaaabbaaaababbbabaabbaaaabaaabbaaaabbbbaabbaabbbbbabbabbbbbbbbaaaaabbbaabbaabbabbababbaababbaabaaabababbbbbaababbabbbbaaabaabaaabbaaabaaababaabaabaaabbaaababbababbbbaababbaaababbaabbbaaaaabbabbaababaaaaababbaabbbabbbaaaabbaaaaaabbaabbaaaabababbbabbaaababaabbabbbbabaaababababbbbaabaabbabbbbaaabbaabaabbabbbbababaaaaaaaabbbaaabaabbbabbbabaabbaabbbbabbbbbbbababbabbaababbaaabbbbbaabababaaaababbababaaaaaaababbbabbbaaaabbbaaaababbabaaabbbabbabababaaabaabbbbaaaabbbbaaaaaaaaabaaabaaaabbaaaabbabbaaaaabaaaabbabaaabaabababaabbbabaaaaabbaababbabaabbbaaaaaaaababbabbbbbaaabbaabbabaaaaaabbabbabbbaabaabbbbbabaaabbabbaabbbabaaabaaabbbbaaaaaabbbbabaabbbabbabbbbbbbabbaabbaaabbaaabbabaababbbabbaabababaabbaaabaaabbaabbbaaababaabbbbaaabaaaaabbbabbabaaabaabbaabaaabababaababbbbbbbaabaaababbaabaaabbbbbaaabaabbbaababaabbaabbbbabbabbaabbbabbaaabbabbabbbabbabaaabbabbaaabbbabaaaabbbabbbbaababaababbbbbaaaaaabbabaaababaaabbbabbaabaaaabababbabaaaabbbbbbbabbbababababbabbababbbabbaabaaabbbbabbbbaaabbbbbbaabbaaaabaaababbbaaabbaabbabaaaaaabaaaababaaabababaaaaabbbabababbababbbbabbbaaabbbaababbbabbaabaabbbaabbabbaaabbaabaabaababaababbaabbbbbabaabababababababbababbbabbabaabbaaabbabbaabbabbabbabbbbaaaaabaaababaaaaabbabbabbbaaabbbabbaabbababbbaababbbbbabababbabaabbaabbbabbaababbababbbbbbabaabaabbbbaababbbababbbbaaabbbaabababbbbbaaaababaabbbabbabaaabbaaabaaaababbbabbbaababbabaaabbbaabaababaaaaaaaabaaaababaaabaaabbbbbababbabbbaaabbaabaaaabbbaabababbaaaabbbbbbbbaaabaababaabbbbbbbaaaaaaabbbabaabbbababababbabbabbabaaabaabbabbbabbabaaaababbabbbbabbabbaaaabaababbbbbabbbaaaabbabaaabaaaaaababaababbbaabbbaababbbaababbbbbbabbaabbbbabbaaaaaabbaababbbabbbbbabbaabbabbaababababaaabaaabaaaaaabbbbbaabaaaabaabbabbbaaaabbbaaabaaaaaaabbbabbababbbbbaabbbbaaabbbbbbaababababaaababaaababbbaaabbaaabbbabaaaaabbabbaaabaaaababbaababbaaabaabaabababbaabbabababbaabbbbbaaaabaabaaaabbabbababbaaabbabbbbabbaaabababbbbbbbbabaababaaaaaabababaababaaabababbabababbbabaabbbababaabaabaaaaaabbbaabbbbbbbbababbbbabbabbbbaabbbbbbaabbbbaaababababbbbaabbaabbabbaaaabbbbbbbbaaababababbbbbabbbabaaaabbbaabbbbaabaabbabaaabbbbbbabbaaaabaaabbbbaaababbaabababbbabbaaabbabaabaababaaababaabbbaabaaabbbaabaabbaaababbaaaaabababbbbbaaabaaaaabbbaaaaababbaaaaaaaaabaaabaababaaaabbbbbbaababaabababaaaabaababbbbabaababbabaaabaaabaaaaaabaaabaabbababababaabaabbababbbbabaaaabaabbbbabbbbabababbabbababbbbbaabbabababaaabbaaabbababbababaaabbbbaaabababaaabababbbababbbaabbaabaaaababababaaaabbbabaaabbbbbbbbbabbaababaaabaabaaabbaaabbaababbabaaaaaaaaabbabbabaaabaabbabbabbaababbaaaababaabaaaaaababbbbbabbbbabbbbababaaabbabbbaabaabbbbbbbbbbbaababbbaabbaababaaabbabbaaaaaabaaabbbaaabaaabbaaababababbbabaabababaabababababaababaaabaaabaababbaabaabbaaabbbbbaababbababbbababbbbbbabababaaababbbbbbbaababbabbbaaaaaabbbbaabbbaabbbbababababaaabbabaabbaaaaabbabbbababababbabababababbaabaabbbaaabbaabaaabaabaabbbbbababbbababaabaaaabbababababbbbbbabbbabbbbbbaabbbbbabbbbababbbababbaaaaababbaaaabaabbaababbbaabaabaaaaabbbaaabbaababaabaababaabbbbbabbbbabbabbbaaabbabbababbbababaabbbbabbababbaabbbabbbabababbbbaaababaababbabbabababbabbaababbabbaabbaaaababbbabababbbbaabbabbaabbababbaabaababbaabaabbaabbaabbabbbaabbbababaaaabbabbabaaabbbbababaabababaaabbbababaabbababbaabbbaaaabaabbbabbbbaabbbbbbaabababbaabbababaabaababbababbaabaabbababbbbaabbabaaabaaaabababbabbabbbaaabaaaaabbbaabaaaababbaaaabababbaaabaaaabbbbaabaaababaaaabaaaaaaabababbbbbaabbbaababaaabaaaaaaababbabababaabaaaaaababaabaaaabbabbbaaaabbaabbbaabbbabaaaabaababbbbababaaaabbaabbaabaabaaaaabaaaabaabbbbaabaaaabbbbbbbbbbbbabbbbabbbbabbbabaabbabbabbbbbaaaababbaabababbaaaaabbabbababbabbabaaaabbbababbaaaabaabbbababbabbaabbaababbabbbbbaabbaaabaabaabbbaababaabbbbbaabaaababbbbababbbbbbbbaaabbbbaabbbbbbbbaaaababaabbbbbbabbabaabbaaaaaabbbaabbaabbbbaababaaabbabbabaabbabbabaaaabbaaabbbaabababbaabbaaabbbabaaaaabbbbbaaaaaaaaabaabaabaaabbbabaaabaababbbaaabbabaababbababaabbabbbbaaaabbaababbababbbbabbabbabbabaaaaababbaabbbbbbababbbbaaaaaabaaaaabbabaabbabababbbabbaabbbababaaaabababbabbabbbaabbababbaabbbabaababbbbabbaabbbbaaabaaabababbabbbabbaaabbbbbaaabbabbbaababbbbbaaabbbbbaabaaabbababbbaaaaaabbbbbbbaaaabaaabaababbabaaabbaaabbaababaababbaaaabbbbabaabbabbbbbaaaaabbababbabbababaabbbbbbaaabbbbbabbbbaabaaabbbbbbbbababbbabaaabaabbaaaaaabbababbaaababaaaabbbaabbabaaababbbbaaabaaabbaaaaaaaaaabaaabaabababbbbaabbbbabbaaaabbaaaabbabbabbababaabbbababbbaabbbaaaaaabbaaabbbababaabababaaabbbbaabbbabbbbabbaabbbbaabaababbaabbbbbbbabbabaabbbbbabbabbaababbbabaaaababbabbbaaabbbbabbaaaababababbbbbababbbaabaaabbbbaabbabaabaabbabbbabbaabbbabaabbaabaabbbabbbbbaabbaaabbbaababaaaabbbaabbbbabbbaaaabbaaabaabaaabababbbbbbbbaabbaababbbbabbbabaaabaaabbaabaaaabbabbbababaabbbbbbbbababaababaaaaaabababaaaababbbababbbbaaababbbbbbaababbaabbbaabbbbabaabaaababbaaababaabbbaababaababaaaaabbbaaaaabbaabbbbaabaaaaabbaaabbbbbbbabbbbabaaababaaabbbaababbbaaaabbbabbbabbbbababbabaaabbaaaaabaaaabaaabaababbaaabaaaaaabaaaaabbbaabaaabbaaabaababbbabbbaabbaaaabbbbabbbbbabbbaabbabababbbbaabababaaaaaaababbbaaabbabbbbaabbbbaabababbbbbbaaaaaabaaabaabbbaababaaaabababbbbabaababaaaaabaaaaabbaaaabbaaaaabbabbaaabbbbaaaabaabaaaaaaaaaaabaabbaaababbaabaaaababbaaaaabaaaaabbaababaabaaaaaaababbabbaabbabbbbbbbbaaabbbbababbbbaababaaaabbbbbbabbbababbbbabbabbaaabaaabbbaabbaabbabaabbbbbabbaabbbbbbbaaababbaababbaaaaabababbbbbabbabababbaabaabbababaaabbaaaaabbbbbabbbabaaaabaabbaabbabababbbbbbababbbaabbabababbbaabbbaaaababbbbbbabbabbbbabbaababaaabaababbaaabbbaabaaaabbabbaabbbaaabbbabbbababbbaabaaabaabaababbbbabbaabbababbaabaaaaaaaababaaababbabababaaaaaabbbbaaaabaaabbabaabbbababbbbbbbbbabaabbbbbababaaabaabbbbaabbbbaaaaaaabaaaaabbbabbbaaabbaabbbbbabaaaababaabbbabbaabbaabbabaababbbbaaaaaabbaababaaaaaababbbbbbbabbbaaabbabaaababbabaabbaababaaaaababbbbbbbbbaaaaaabbbbabbaabbabbabbaaabbaabbbbababbabaaaaabbabaabaabbbbbabbababbabaabaaabbaaabaaababaabaabbaabaaaaababbbbabaaaaababbbaaabbbbbbbaabbbabbbbbabaaaabbbabaabaaaaabaabbabbbbbbbaababaababbabbbabbabaaabababbabbaababaaaabbababbabaaabbbbaaabaababababbbbaabaababbaaaaabbbbaabbbabbaaabbabbaaabaababababbabbbaabbbbbbbabbaabaabbabbababaabbbaaaaaabababababaabaaaaaabaababaabbbbbaaabaababaabbabbababaaabbbabbbabbbababbabaaabaabbabaabaabbabbbaabbabababbaababaabaababbabbabaaaaaaaabbabaaaabaabaaabbabbaaabaaaaababbbaabbbbbaaaaabbbabbbababbabaabaaabbaaabbaaaaaaaabababababaaabaaabbabbbbbbbaaabaabbababaaabbababbaaaaaaaabaabbabbbaababbbaaabbbbbbbbaaaababaaaaababbbbbbaaababbabaabababababbaaabaaababbbabbbababaaaabaabaaaabababaabbbbaabbaabbbaaabaabaaababbbaaabaabaabbbabaaaaabbabbaaaabbbbbaabaaaaaabbabbbbbaaabaaaaabbaababbbaabbabaaaaaaabbbaabaaabbaababbbabaaaaaabaabaaaabbbabbaababbbbbaaaaaabababababababbababbabaaababbababaabaaaaabbaabaaabaaaababbabaaaabbaabbaabbbabbaabaaabbbbbbbbabbabababbbbaabbbabaabbaabbbbaabbbaaaababaabbbbaaabbabbabbbabaabbaabaaaaaabaabaabbaaabbbbbbbbabbbbaababbbabbbbaaaabbabbbbbaaabbaababbababbaababbaaaaaaaabbbbbabbaaabababbbaabababaaaabbbbaabaabababbaaaaaaaabaaababbbaababbbbaabaaababababbaaaabaaaaabbaababbbbbabbbaabbabaaaaabaaaaaaaaaaabababbbabaaabaabbbbabbbabbaaabaaababbbaaabaabaaabaaaaaabbbaabaabbbbbabbabaaaabbbbabbabbabbabbaabaaabbbaaababbabbaababbbbabbbaabaaaabbaaaaabbababbaabaaabaaaabbabbbabbbabbaabbbbbbaabbaabbabbbbbbbbaaaaaababbbaaabaabbbbbaaaaaaaabaabababaaabaabaabbbbbbbabbaabbaaabaabbaaaaaaabbaaabbaabaabaaabaaaababaabbabbbbabbbbbbbabababababbbbabbaaaaabbbaabaaaaabaabaaaabbbabbbaabbabaabababbbaaaaaaaaaaaaabbaaaababbbaabbabaabbabbbbaabbabbbbbabaaababbabbbabbbabaaabbaaabbabaaaaabbabaabbbbbbbabbbabbbaaaabbbabbaaaabbbbabbaaaaaaabaabaaaaaabbabbaaabbabbaabbbaaaabbaaababbbbaaabababbbaababaabbbabbbbaaaabbbbabaaaaababbabbbbaabababbabbbbabaaabaabbaabbaaaaaaaababbbbaabbbaaaabbbaaaaabbbbaabbaabaaaaabbbabbbbaabbabaabbbbaabbbbababaaababaaabababbabaaaaaaabbaabbbabaababbabbaaabbabaaaaabbbabbabaabbaaabbbbababbbbabbbaaabaabbabbabbabbbbbabbaababaababbbaabbbabbaaaaababaaaaabbabbbababaababababaabbbabbaabbaaababaaababbbababbbbbbabbbabbabbabbabaaaabbbabbbaabbaababbbbbabaababbbaababbabaabbaabaaabaabaaabaaabbbaababbabbbabaabbabaabababaaaaaaabbbaabaaababbbbbbbbababbbabaaabaabbababaaaabbbbabababbaaaaaaaaabbaaaabbbaaababbbabaabaabbabbbaaabbbbbaaaabaaabaaababbaaaaaabaabbbbaaaaaaabbbaabbbaaaabbbbbaabbbbbabbaabbbabaababaabbbbbbbaaaaabbbaaaaabbbbabbabbaabbababbbabababbbaaaabbaaabababbaabbabbbabbaabbababbabaaabbbbabbbbababababbaaaabaaaabaabbbbaaaababbbbabaaabbabbabbababbbbbaaabbababbaaabababaaaaabaabaababaabbaaaaabbabaabbaaabbbabbbbbbaababaabaababbabbaaabaabbaabaababbaaabbabbabbbabaabbaaabbbabaabbaaabbbbbabbabaabbbabbbaabbbbbababbbbaabbaabbbbabababbbbbabbababbbbbaaaababbbabbbaaabaabaabbbabaaaabaaabbbbbbbabaababababbaaababaaaabaabbaaabaaabaabaabbaaaababaabbababbaaabbbbaaababbbaaabbababbbbbbaaabbababbbabbbabaaaaaaabbbbaaabbbaababbbabbabababaabababbbabbaaaaabbbaababbbbabbbabaababbbbaabbaaabbaabbabbabbbbaabaabbabbaaababaababababaaaabbabbabababaaababbbabbbaabbbaaabaaaabaaabbabbbbaabbaabaaabaabbaaaabbabbbaabaabaaabbabababbbbbaaabbbbabaabbabbaabbbabaabaaabbaabbaaabbbabababbabbbbbaaababbaaababbabbbbabbbaabbaaabaaabbbbabbabbbbaaabbabbbaababaaabbaababbbaabaaaabababbaabbbbbbbbabbabbabbbbaaababbabbbbbbbababababbaaabbabbbabbabbbaabbaaabbabaaaaabbabbbbabaabbbaaababbababbbbababbbaabbbabaaaababbbbaababbbaaabbbaaabaabbababbaabbbabababaabbaaabbaaabaabaabaabaaabababbbabaabbbababbaabbabaaaaababbaabbbbabaaabbaaabbbabaaaaabbbbbbabbabbabababbabbbbbbbaabaababaaaaaaaaabaaaabaaaabbababaaabbbabbabbbbbabaaaabbabaabbbbaababbbbaabbaaaaaabbbaaabaabbbbabaabaaababaababbaabaaabbaaabaabaabaabaaaabbbbabbbbabababbaabbaaaaaaabbaaabbababbaabaaabbaabaaabaababbababbaababbbbaabbabaababaaaaaabaaaaaaaaaabbabaaabababbabbbaaabbbbbbbaaabbbabbaaabaaabaababbbaabbbaaabbaaaabbbaabbbbaaaabbbaaabaabbbbbabbbbabbabbbbababbbabbbbbababababaababbbbabaaaabbaaabbabababbbbaabaaabaabbbabbbbabbaabaaabbbbbbabaaaabbbaaabbbababaabbabaabbabaabaababaaaabbabaabbbaababbabaaaaabbbbabbabaaaaabaaabbbbbababababbbaaaaabababaabababbababaaaaaabaaaabbbaaababaaaaabbbbbbaabbaaaaabbaaaaaaabbaabbbbbabababbbabaababbbbbbbbaaaabaabbbbaababbbbabbbaababbbbbbbbbabaabaabaabaabaaaabaaaabbbaaaabbbaaababaabbabbbbbabaaabbbbbbbbaaaaabbbbbaaaabbbbabbbbabaabbabbabaaabaabbbbabaabaaaaaaabbbbaabaabbabbaabbbbbbabbaabababaabaaabababaaaababbbaaaaabaabbababbbaabbbaabbabbbbabbbbbbaaabababaabbabbaaabbbabbaaabbbbabbaaabaaaaabaaababaaaaabbbaababbaaaabbbbaaaabbbbbaaaaaaaabbaabbbabbabbbbaaaaaaaaabbabbbabaabbbbaabbaabbbbbabaaaabbbbbbaabaabbaaaaaabbabbbbbbbaaaabbbbababbbaaabbbaaaabbbaababaababaabbbababbbaabbabbbaaaaaabbaabbbaaaabbbabaabaaabbababbbbabbabababbbabaabaabbbbbbbabbaabbbaabbaaaabaabbbbabbababababbabbbbaaabbabbbbaababbbbbbaabbaababbbbabbabbbbbbabbbaaabbababaaaaaaabbbbbbaaabbbbaabaaabaabbbbabbabaaababbbbabababbbbbbaababaabbaabbbaaabbbbabbbbbbbabababaabaaabbbbabbabbabaaaaabababbababbbbaaaaaaabbababbbbbbbbbabaabbaaaabbaabbabaabababaababbabbaabaabbbbbaabbabaaabababbbbbababbabbabbaabaaaaaaaababbbabbbabbbbaabbabbbbbbaaabaabaabbabaaaaabbaabbabbbbaaabbabbbbaaabbbaaabbbbbbaaaabbbbbbabbaaaababbbbbbbabababbbabbabaabbababbbbabaaababbbabbbaabaabbabbbbabbabaabbaaaaabbbababababaaabbaabbabaabaabbbbbbbbbbabbaababaabaaababababbbabbbbaaabbbbbaabababbbababaabbbabaaabbabbabbbaabbbbabbaabbbbbabbbaaaaaabaaaaabaababbaaaaaabbbababababbabbabaaaaabbaabaabbbabbababaababababababbbbbbaabbbaabbbaaabbbbbabbbababbbaababbaaabbbbabbabaaabbaabaaabaabaaabbbbabaabaaaaabababbbbbabaaaabbabbaaabaaabbbbbaaaaababbabbabaabaabaaabaabbabaaaaabaabbbaabbbaaaabaabbaabaabbbaaaabaabaabaaababbbaaaababbaabbaaabaabbbaaabaabababbbbaabaaaabbbaaaababbabbbaaabbbbaaaaabbbaaaababbbbaabbaabbbbaabaaabbbaaaababbbbbaaabaaababbabbbbabaabaaabbbaabaababababbaabbbbbbabbabababaaaaaaaaabbaaababbaababbabbbabaaabbbabaaaabbbbbabbaaaaababbabaaabbbabbbabbbbbaaaaaaaabaabbbababbbbbbbbbaabbbaaababababbaaaabababbbabbaaabaabbabaaabaaaabbaabbabbbbabbaabaaabbabbbbabaabbabbabbababbbabbbaabaaaaabbbababbabaabbaaaaabbabbbbbbabaaababaabbaababaabbbaaabbaabaaaaaabbabbabbaababaaabbbbbbbbaaabbbaababbabbababbbbabaababbbbababbabaaabbaaabbabbabbaaabbababbbabaabbabababaaabbabaaaaaaaabbaaaabbaaaaaaaabbabbaaabbaaaaabaaaaabbaaabbabbaabbbabbaaaabbbabbbbbaaaaababbaabaabbaabbaabbaabaabababbabbaabbaaaaaabbbbaaaababbbbabbbaaababbbbbbaabbbbaaabaaaaabbbbaababbabaabbaabbbaaaaaabbbbaaabababbaabbbababbaabbabababbaaaaabbabbaaababbaaaabbbbbababbbaaabbbaabbbababbbbabbaaabbbabbbabaabaabaabaaabbaabbbaabbaabbaaaaaabaabbabaaaabaabbbbaababaabaaabbabbaabaababaaaaaaabbababaababbaababbbbbbaaaaaaaaababbbaaaabaabbabaaabbabbabaabaaabaaaaaabbbabababbaabbbbbbaabbbaabbabaaababbbabaababbaabbaabbaaaaaababababaabababbaabbaabbaaabbabbaabbbbaabbbabbbbbbabaabaababababaabaaabbaabbbabaaabaabaaabbaaababbbabbbbaabbababbaaaabbbbbbaabbbabbababbaaaabaaaaababaaaabaaabaaabaaaabbaabababbaabaaababbbbbbabbbaaaaaaaabbaaaaaaabbabbabbbbbabaabbbaaabbabaabaabbaaaabaaaaabbbbbaababbbaabaabaaabbaabaabbbbabbaaababbbabababbbbbaaabbaaaabbaababaabaaaaaaababbbbaaaaabbabaabaaaaaaabaababbabbaaabaababbabaabbbaaaaaaaabababaabaababbabaababababaaabaaababbaaaabaaaaabababbbabbbbbbbbbabaaaaababbabbabababbaabbababaabbabbabababaabababababbabbaabaaaaaabbabaaaaabaabbaaabbababbbbababbbbbaabaaaabababaababbababaababbbbabbaaaabbabababbbbabbaabaabbabbaaaabbbbabbbaaabbabbbaabbabbaabbabbbabbabbbbbbabaababbbababbabbbaaaabaaabbaabbbabbbbbbbaaaababbbaabbbabbbbaaabbabbbbabbbbbbaabaabbbbbaabbaabababaaabbbabababbabbbbabbbabbbaababaabbbaaabaabaaaaaaaabbbabaabbbabbaaabbbbabababbaaaabaaaaabbabbbabbaaababbbbbbaaabbbbbabaaabbbababbbbbbbababbbbbabbbaabbbabbabaaababbabbabababbbaabbbbbabbbbabbabbbabbaaaabbaabbaabaaaaaaaaaaaaababaabaaaaaabbbbbbaaaaaaaaaaaaaaabababbbaabbbbabaabbaaabbabbaababaaabbabbaaaabaabbaaaaabbababbbbbbababaaaaabaabbbabaabbabbaaaabaabbbaaabbbabaababaabaaabbababaababbabbbaaaabaaabbaabbbbbabbaaaababaabaaaabbbaaabbaabaaabbaaaabbabbbbababaabbbaaabbaabbaaaaaabbaababbabbbaaabababaababbbbbbabbaababbabbaababababbbbabbbbbbbaaabbbbaababbababbbbbbaababbaababbaababbbabbabaabbbbaaabaabaaabaaababbabbbaaaaabbababbabbbabbabbbaaabaaaabababbabababbabbbaaabaaaaaaabababaaabbbbababaabbbbbbbabaababbbbabababbbaaabbaaaaababbbbabbbabbbbaabbbbabbbababaaaaabbbbabbabbaabbbbabbaaaabbbabbbaabbabaaabbaabbaabbbaabbaaabbbaaaabaabbbaababbbbbbbabbbabbbababaababaabbbbbbbabaaaababbabbabbabbbaaaaaaaabbbaaaaabaababbbbaabaababbbbbaabbaababaaaaabbababaabaabbabbabbbbababbaaabbabbaabbaababaababbabbbaaaabbbabbabbbaaaaaabbabbabaababbbaaababbaaaabbbbaabaabbbabaaabbabaabbbabbbabaaaabbabbabbaaaaaaabbbbbbabbbbbbabaaaaabaaaabbabbbbbbababbbabaaaababbbabababaaaaababbbaaababaaabababbaabbbbabbabbbbbabbabbaabbaaabbaaaabbbababbabbbbbabaababbbabbbbaabababbbababbbbaaaabbabbababaaabbbbaaababbabbabbbbaababbbbabbaaabaabbbaabbbbbbbabbabbbabaabbbabbaabaaaabaabaaaabbababbbbbbababbabbbabbbbabbabaabbbbababababaaabaaabbbbbababbabaabaaaaaabbbabbabaaabbbbabaaaabbbaabbabaaabaaabababbbabbbabbbbbbababbaaaabbaabababbbbabbaabbabaaabababbbbbaaabbbbbbbabbaabbbbbaaaabbaabbabbabbaaaaabbaababbabbbbbbbaabbaababbbbbabbaabbaaabaabbbbbaababaabaaaababbabaaabaaabbbaaaabbbabbbabbbabababaaaabbbaababababbaaabbbbabbbaaaabaaabbababbbababababbbabbbaaaababaaababbbabaaaaaabaabbbabaaaabbabababababbaaaabbaabbabbabbbbaaaabbaaabaabbaabaabaabbaabbabbabbbbbaabbbaaaaaaaabaaabbbbbbaaaaaaaaabaaabbaaaabbbaabbabbababbaaaabbbbbbbbbbbabaaaaaabababaaaabababaabbbbaaaaaababbbbabaabbabbbababbbbbbbbbbabbaaaabbbbbabaabbbabbbbbbbbbaaaaaaaaaaaabaaabbaababbaabababbbaabbbabaabaaababbbabaaababaaaaaabbaabababbbabbbababaabbababbbababaaabaaaaabaababbbbaaaabaababbaaaabbbbbbaaababbabaabaabbabaaabbaaabaabbababbbabbaabababbabbaaabbbbbabaabbbaababbbaaaaaabaabaaabaaaaaaaaabbbbbbbbaaabbbaaaaaaaabbbbabbbbababbaabbbaababbaaaaaaababbaabbbbabbaaababbaaaabbbaabbbaaabaaabaabababbaabaaaaaaaabaaabbbababaabaaaaaabbbbbababbabbbbbaabbbbbbaaabaabbbaabbbaabaaaaabbababaabbbbbbabbbaaaaaabbbaaabbbabbaaabbaababababaabbabaabaaabababbbbaaabbbabbabbbabaababbaaababbbbaabababbbbaabbaabbbbabaabbbabbbbbaaaaabbbbbaaaaaabbbaabbabbaaaaabbaabababaaaabbbababbaaabababbabbbaababbabaaaababbaabaabbaabaaaababbaaaaababbbbbabbaabbaabbaaabbbabaabbabaaabbabaabbbbbbababbbabbbabbbabaaababababbbbaabbbaabbaaaabababbbabbbbbbbabaaaabbbaaababbbaaaabbbaaabbababbaabbaababaaabbbaabbaabbbaaaababaabbaabaabbbbaaaaabbabbaababbabbbabbbbabaaaaaaabaaabbbbbabaabbabababaabababbbaabababbbaaaabbbabbbbbbabbbabbaababaaaaaabaabbbaaaabbaaabbbbaaabbbabbabbaaaaaabababbabbabbbbaaababbabbabababbbbbbaabbbabbababbabbaaaaabaabaabbbbaaaabbbbbaaabbbbbaababbaabbbbaaaaababbbaababbababbabaaaabbbabaaabbbbbbbbabbbbbabababbaaaabaaaaabaabaaabbbabaaaaabbabbbbbbaaaabbabbaabbbbbaabbabbbbaaabbaabbabbaabaabaaabaaaaabbaaabbbaabaababaabaabbbabbaaabbbbaabaababaabbbababaaabababaaabbabaaabbabaaabababbbbaaaabaaababbaabbbbaaaaabaabaabababbaabbbabbbbabbabaabaababaaaaaabbbbabaabaababaaababbaaabaaaabababbbbbbbbbbababbabbbbabbbbbbbbaabaaaaababbabbaabbbbababbabbabaaabaabbabababaaaaabaabbbabbbabaabbabaaabbbbaabaabaabbbaaaabbabbaabaaaaaaaabaabbababaaababbabbabbbbaaabaaaaabaabaabaaaaabbbaaaaabaabbbbabbabaaaababaaabbbbaaaabaaabbbaaabbbaabbbababaabababbabbabaaabbabaaaaaabababaaaaabaabbbabaabbaabaaaabbaaabbbaaaaaabbaabbbaaabaaabbabbbabbabaabbabbabbaaaaabaababbaabbbbbbaaabaabbabbaaabbaaaaaababababbaabaaabababbbabbbbabaaabbaabbbbbaabbbbbbbbabbababababbbbbaaaaaabababbbbbbaabaaaabaaaaababbabbbbaaabaabbbbaabbabbaabababbbaabaaaabbabbbbbaaaaabababaaaaababaabaababaabbbababbaaabbbaabbaababababbbabaaaabaaaabbaabaabbbbaababaabaaabaaababbbbbaaaabaabbababbbabbaabbaababbaabbaabababbbababaabbaaabaabbaabbaaaabaaabaabbaababbabaaababaaabababaabaaaababbabaaaaaaababaaaabbbbaabbaabaabbabaabbbbbbababaabababbbabbbaabaabbbbbabaaaaabaaabbbaaabbbabaaababaabbababbbababbaaabbabbbbabbabbbaaabababababaaabbaabaababbaaababbbbaababaaababbabbbaababababababbbbaaaabbabbaabababaabaaaababbbabbabbbbbbbbbbbbabbbabbbbbabababbbaaabaabaaaaabbabbbaaaabbaaaabbaabaaaabaababbbbaabbbbabbabaaaaababbaabbbbbbaabbbbbaabbbbbbbabbababbabbaaaabaaaabababaabbaabbbbbbbaaabaaaaabaabbaaabaaababbbabbabaaaababbbbbaaabababaabbbbbabbbaaaabbbbbbbbbaababbaaabbaabaabaabaaabaaaaabaabbbabbbaabbbbbabaaabbaabbbbbabbbbaaabaaaaababaaaabbbabbbaaaabaaaabaabaaabaabbabaabaaaaababababaaaabbababbbbbbbbbbaaabbbaababbabababbbabaabaabbabbabbbabbababbbbabaaaaabbabbaaabbaabaabaabbbbabaabababbaabbbbbabbbabaababbbaaabaabaabbbbabbbbaaaabbabbbababbabbbbababababbababaabababaabbaaabbbaaaaabaaababbbbaaaaabbbaabbbbaaabbbbabbaaaaaabababaabaababbbbabbbbbaaabbaabbbababbbbaaaaaababbaaaaaaaaaaababaabbabbbababbbbabbbbaaaabbbababbbaabbbabbaabbabaaabbbbaaababbbbbbaaaabbbaaaabaaaaababbaaaaababbaabaaaabbabbabbbbbbbaaabbbaaaabbababbabaabbabbbaaaaabbbaabaaabbbbbbabaaababbbabababbbaabbbaabbbaabaaaabaababababaaaaabbaabbbbbbbaaaabbbbaaaabaabaaabbbbbaabbbaaabbbbaabbaabaaababaaabbbbaaaaaabbbbabbbbaaaaaabaabaaaabbbabaaabbbaaaababbaaababababbaaaababbbaaaaaaabbaabaabbabbaaabaabbababbabaababbbababbbaaabbbbabaaabaabbabababaaaaaaaabbaaaaabbbbbbababbbbabbbaaaababbabbbaababaaaabaaaaabbaaababbbbbabbabbabababaaaababbbababbbbaabbababaaabbbbaaaaaabaaabbaabbabbababbbabbbbbbaaaaabbbaaaaaabaaababaabbaabbabbabbaaaababbaaaabaabbbaaabaaaababaabbbaaaabbababbaaababbbbaabaabaabaabbaaaabaaaaaaababaaaabababaabaabbbabbaabbbbababbababaaabbbbbabbaaabbaaaababaabababbbbbbbabbbbbbbaabababbabbabaaababbbaababbaabbbbbababaaaabbbbaababbaabbaabaabbbaaaaaabaaabaaabaaaabaaaabaaababaabbaabbabaabaabbabaaaaabbbaabbaabbbaaaaabaaabaabbbbbabaaabbaaabbbbbaaabaaabababbaaaabbabbabbabaabbbababbabbaaabbbbaababbaaaabaabababaabbbaaabbabbbbbaabbaaabaaabbbabbaaabbaaaaaaaabbababaaabaaaababaabbabaabbbabaabbbbbaaaabbaaabbbaababbaaabaaabbaabbbaababbbabaaabaaabbbbbbabbbbaabbabbabbbabbaaabaaababaabaabaabbbbabbbabbbaabaabbbaababaaabbbaabaaaaabbaaabbaaabbbaaaaaaaaabaaaabbbaababbbbaaabaabbbbbaabbababbaaababaaaabaabbabbbbabaaabaaabbbabbaabbaabbabbbbabaabbaabababbbbaabaabbabbbbbbaabababbbaaaaaaabaaabbbbabbbabaaabbaabbabbbaabbabababbaabbabbaaabbaabbbabbaaaabbaaababbbaaababbbbbabbbbbaaaaabbababbabbaaababaaabbbbbbaaaaabaabbaaaabbabbbababbabababababbaabababbabaaabbbbaabbbababbbaaababaaaabaaaabbabbbbabbbbabbbabbbbbbbababbaaaabbabababbbabaaabbabaaaaaaabaabababbbaabababaaabbaababaabbbbabbabbbaabaabbaaaabbaabbbababbaaaaaabaabbbbbbabaaabaababaababbbbababbbbaaababbaaaaaabbbabbaaabaaabbabbbaababaaabbbaabaabbabbabbbbaababaababbaabbabaaabaabaaababbaababbaabbbbaababbbbbbabbbbbbbbbbabaaaabbbabaabbaabaaaabbbbaaabbabbaaaababaabaaabbbbaaabaabaabaaabbabbbabbabbaaabbbaaabbaababbbaaabbbaaabaaaabbbbbbaaaababaaababaabbbabbbbbbbaabbbaaabbabbaaabbaabaaaaabaaaabbaaaabababaabbbbbaabbbbaabbabbabbbabbaabbaaaababaabababbabbaaaabbbbaabaaaabaaabbbabbbabaabbaaaabbbabbbbaaaabbaaaaababaaabaaaaabbbbbabbabababaaaaabaaaabaaabbaaaaaabaababaaaaaaabbaaababbbbaababbabbabbbbaabbbaaababaabaaaaabbbaababababbbababbabbababbbaabbbaababbbbbbbabbaababbababbaababbaabbbabbaaabbabbaabababaababaabaababbababbbaaabbaabbbbbabbbbbbbaababaabbabbbbbbaabaababaaabbabbbbbbaaabbbabaabbabaaaaaaaaabbaaaaabbbbbaababbabaaaababbababbaaaabbaaaabbababbaababbbaabbaaaaaabbaaaabbaaabaaabaababaabbbbaaababbabbbababaabbbbbbaabbbbaaabbbabbaabaaaabbbbaabaabbbbaabaaaabbaabaabaaaabbaabbbbbbababbbbaabbaabbabbabaabbbbabaabbaabbabaaaaaabaaaababbbbbaabbbabaaaabaaabaabaaabbaaabaaaababbbabaabbbabbbbabaaaaaababbbbbbabaaabbaabaaabaaabbbaabbabaaaaabbaaaaaabbbaabbabaaaabbabaabbbbbbbabaabaabbbbbabababbbbabbbabbabaabaabaabbbbababaaaaaaaabbbbbbabbbaababaabaabbbbabababaaaabbbbabaabbabbaabbaababaaababbaaabbaaabbabbbbaabaaaaaaababbaaaabbbbaababbbbabababbaaababaabbabbaabbbbababbaabbaaabaaabbaababaaaabaabbbaaababbbbabbbabbabaababaaaabbaaabbabbbaaabbbabaaabbaabaabaaaaaabbbbaaaabaaabbaabaaaabbaabaaabaabbaabaabbaaaabbabaababaabbaabbaabbbbbbbbaabbbaabbaaabaabbbbbbabbbbababaaabbbaaabaabababbaaabaabbaaaaabaaabbabbaaabbaabbbbbbaabaabbaaaabaaaabbbabbaaabbabbabbbbabaaababbabbabbaababbababbbbabaabbbbabbbbbabbabbbaabbbabaabbabbbbbbbaaabbabaaabaaabbbaaabbbababbbbabbbbaabaabaabbaababaabababbaabbabaaaabaabbaababbbbababbababaaabbbbabaaaabbbabababbaaabbbbbaaaaababbbabbaababbaaaaaaaabbaaabbabbabbbbabbabbbbaababbaaaababbaabbababaabaabaaaaaaaaaaabbbbbabbbaaaabbaaaaabbbabbbaaabbbaaababbababababbbbbababbbaabababbabbabbbaabbbaaaabaabbababaaabbbbbaaaabbaaabbbbbaabbbbaaaaabababbbabaaababaabbbbabbbbbabaabaabaababbbbababbaaaabaabbabbbaaaabaabbabbbbbaaaabaaabaababbaaaabaabaabbbabaabbabaaabbbabaaaaabaaabaabaaaaaaaaababbabbaaabaabaabaabbbbbbaabaabbbabbbaabaaababbbaabababbababaaaabaaaabbabbbbbbbbbaaabbbaaaabaaaabaabbabaabbbbbaaaabbbaaaaababaababbbaaaababaaabaababbaaaaaaaababaababbaaaabaabbbaaaaaabaabbbbababbaabbaaaabbbaabababbaabbababbbababbbaabbaabbbaaaaaaaaabaaabbaabababaababbbaababbaaaabbabbabaaaaabaaababaaaabbbaabbbbabababbbabaabaababaabbabbbbbaabbbababbbbabbabaaabaababaababaababaabaaababbbbaabbbaaabaaaabbabaaaabbaabbbbbbbaabbababbabaaabababaaabbaaaaaababbaaabbbbbabbaaaaaababaaabbaaaaababbbabbabbbbaaaaabaaabbabbbbbbbabbbbaabaaaaaabbbababaaabbabbaababababbbbbabaababbabaabbababbabbabaababaabaaababbaabbaabbaaababbababababbaaaaaaaabbbaaabaaabbabaabbaabaabababbaaaabaabababbaaababbbaababbabaaaaabaabaaabaaabbabbaaaaabbabaaabaaaaabbabbaaabaababbbbaabbabbbbaabaaaabaaabbaaaaaaabbbaaaaababaaaabbababababaaabbaabaabbabbababaababbbaaaaaaababbbabaababbbbaaaabbbbababaabbabbbbaabaaabbaababaaaaabbbabbbbbbabaaabbababaabaababbaaabaaabbbaaaaabababbbbaaaaaaababababbaaaaabbabbbabbabbabaaabaaabaaaaaababababbabaaabbbaaaababaaaababbbbbbbabbababaabbbbaabbbbbabbbbaabbabaabbaabbbbaaaaaabababaaabbaaaabaaabbaabbbbabbbbbbababbbbbaaabbbaabbbabababaaaabbabbbaababbaabbbababaabaaabbbaaabbbbbabbaabbaaababaabbaaababaabbabbabbababaababbababaaaabaaaaabbbbabaaaaaaabaaabbbbaabbbbbbbaaaabbaaabaaabaabbbaabbbbbaaaabbaaabbababbabbbbbabbbbabababbaaaabbbaabababababbbaababbbaaaaaaaaaaaabaabbabbabbababbaaabaaaaaaaaabbbbbbbbbbbaabbbabbaababbbaabbaaabbbabbababaaababaaaabbbaaaababbabbbbabbbaaaabaabababbaababaabaabbbbbabbbabaaaabaaaaababaaabaabbbbbabbababbbababbbababbaabbbbbaaababbbbabababbbabbbaaabaababbbbaaaaabaaaaaabbabaaababbaaabbabbbabbbbabbabaabbbaaabbbbaaabbbbbbbaaabbaababbbaabbaababbabaabbbaababaabbaaabbaaabbbbaabbbabaabbaaabbaabbaabbaabbaabbabbbbbbabaabbbabaabaababbbbabaaaaaaabaabaaabbabbaaaaabbaabaabbabbaabaaababbaabababbabaababbbabbbbabaaabbbbaaaaabbaabbbaaaaabaabbabbababbbaaaaaaaabbbababaabbaababaababbababaaaabbabaaaababbababbbaababbaaabaaaabbabbbababababbabababaaabbabbbbbabbbababbaabbabaaaaaabbbaabbaaaaabbaabaabbbaababbabbaabaabbabbbbabaaabbbbabaabbbabaababbaaabbbaaababaaabaabbbababbabbbbbaaaabbaababaabbbbbabbaaabaaaaabaaabbbbbabbaabaaabbaabababbababbbaabbbbbaaabbbbabaabaaaaabbabaaabbabbbbaaaabbaaabaaaaabbababbaabbabbbaaabbabbaaaaabbababbaaabaaaababbbbbabababaabbabaabbabababaabbbaaaaabbababbbabbbbaabbabbbaabbabbaaababbabbbbbabbababbbbaabbbaaaaaabbaabaabaabbbbbbaabbaabaababaababaababaababababbabbbbababaabbaaaaaaaabbbabbabbaaaabbbbaaabaabaaaababbabaabaaaaaabbbbabaaabbbaaabbbbbbabbabaabbbbabaaaabbabaababaaaaabaabaabaabbabbbbaabbaabbabbbbbbabaabaaabbbaaabaabbaabaabbaabaaababbbabaabbbbabaabbbabaabbbbbaaabaabbbabbababaaabababaabbbbbbabaabbaaabbaaabbababbbabbababaabaaabbaaaabbabbbaaaabbbbbbbaaaaabbaaaaabbbbaabababbaaaaabaaababaaaabaababbbbaabbbbbbaabababbbbbababaaaaaabbaabbaabbabaaaaabaaaabaaabaaabababbbbaaabbabbbbbabaabaabbaabaaaabababbbabbabbaaaabaaababbaabbbaaaababbbbabbabbbabbabaaabbbbaaababaaaaaabbabbbbbabbaabaabbaaabaabbaaabaaaababbbbbabbabaaababbbabaaabbaababbaaabbbbaabaababbbbbaaaabbababbbababbabaabaaaababbbbaaabaabbababbbaababbbbbbbbabbbbbbaabbaaabaababbaabbbbbaabbaaabaaaababbabaabbaabbbaabaaabbbaaaaabbaabaabbbbbabaabbabbabaaabaababaaabbaaaababbbabbaaaaabaabbaabbbbabaaabaaaaaaaabaaabaaababbaaabaaaaaabbabababaaabaabbbbbababaaaaaaababbbbbbbbbbabaabaaaabababbaaaabbaaaaabbabaabbbbbababaaabaaaabbbabaaaaaabbbbbababaabbbbabaaabbabaabbbabababaaaabaaabbaaaabbbbabbbbbabbabbaaaaaaabaabbbaaabbaabaaaabbbbbabbaaaabaaaaabbbabbbbaaabbabbbabababababaababbbbabbaabaaababbabbbaababbbabaaaabbbaaabbaabbaabbbbbbbabaabbbbbbbabababbbabbbabbaaababbabbabbbaaaaabababbabbbbaabaaabbabbabaaaaabbbbababaaababbbbababaaaaaabaababbabbabaabbbaababbbbbabaaabbbabababbbabbbabbbabbbbaabbbaaaabbbbbbabbbababaaabbbbbaaabababbaaaabbaabbaaabababababababaaabbbabaaaaaababbabababababababbbbbaaabbababbbbabbaabbaaabbbaababaabbbaababbbaabaaaabbaaaaabababbbbbbababbbaaaaaaabbaaabbaaaaaabaabaababbbbaaaaabbbabbaaabbaabbbaaaaaababababbaabbababbbbbbabbabbaaaaabbbababaaabbbabaaabaaaaaabaaabbbbaabaabaabbaabaababaabbabaabbbabbabbbbbabbaaabaaabbbaaabbababaaaaaaaaabbaabbabababbabbabbabbabaaaaabababbaaaabbbbaabbaaaabbaabbbbababbbabbbaaabaaabaaaabaaabbabaabbabaabbbababaaabaabaaabaabbbbbaaaaaaabbbabbabbaabababbaabbaabbabaaaaaabbabababbbbaaaabababbbbabababbaabaaaaaaaabaaabbbbbaabbaaaaababaaaababaabababababbabbabbbaababaaabbabbaabbbbaaaaabbbabbabbaabaabbaababaaabbbbbaaaabababbaabaaabaaaaabbbabbbabababaaaababbbbababbbaabbaababababbabbababbbaaaababbaaabbabababbaabbaaabababaabbbbbaaaabbaaabbbaaaaaaabbabbaaabbaabaaaabbbbbbaaabaababbabbbaaaaaaaababbaaabbbbaababaabaababbababbabbaaabbabbbbaaaaaaabbbabbaabbbabaabbbaaabbaaababbabaaaaabababbbbabbbbbbaaababababaaaaabbabababbbbabaabbbbbababbbbabbabbbbbabbbbbbaaaaabaaabbbababbbaaabbaabaabbabbbbbabbbbbaaababaaaabbbbabababaabbbbbbaaabbbabbababbaaabbbbbbabbabaabaaaabbbaaaaabbaaaababbbaaabaabbabbaabababaaabbbabbbbaabababbaaabababaabbaabbaaaababaabbbbaaababababbbaabbbaabaaaaaaabaabaaababbabaaaaabbbaaaabababbabbbbaaaaabbbbbbbbbaabaaabaaaabaaabaaaaaababbbaaababbbbbbbaababbaabbbabaabaaabbbabbbbabbabbbababbabbbbababbbaabbabaababaabbaababaabbbababbaabbbbabaaababbabbaabbbbababbbaabbaabbaabbaaaabaaaaaabaabaaaabbbbabbbabbbbbababbaaabaaabaaaaaaaaaabbbbbaaaaaaaabbbbbbbaaababbabbaabbaaaaabbbbaaaaaabbaabbaaababbbabbbbabbabababaaabbabbbbabaabbbbbbbaabbaababbaabaababbbabaababbabbaaabbbabbbaaabbaabbababbbababbaabaababababbbabaababbabbbabaaaaabaaababaabaabbaaaabbbbaaaabbbaababababbbbababaabaaaaaabaabbbbabbabbababbaaababbbbaabababbbbbabbbabbbaaaababbababaaaabbabbbabaaababaabbbabababaaabaabbaaaababaaababaabbabaabaaabaaaabaaaababaaabaaabbabbbbbbbaabbabbbbbaaabbbbbabbbbbaabbbababbbaaaababbabaaabbbaaababaabbbabbaaaabbbbaaabbaaaababbbabbaaababbbababaabbbbbaabbbaabbababbbbaabbabbbbabbababaabbbaabbbababababbabababaabaabaaaabababbabaaabaabbbbabbbabbbaaabbabababbbbabbbabaaabbaabababaabbabbaabaaaaaaaaaaabbbbbaabbbabaaabababaaaaaaaaaaabababaababaaaaabbbababbaabababbabbbaabaabbabbaaababaabbbbbbaabababbbabbababaabaaaaabbaabbabbaabbbababbbbabbbbaaabaaabaaaabaabbabbaaaababaabbbbaabaaaababbaaaaaababbaabbaababbbbaabaaababaababaababaabababbabbaabbbaababaabbaaaaaaababbabbbbbbabbaaaaabbabbbabaabbbbabaaaababaabaabbbbaaababbbababbbbababbbaabbaabbabbbabaaaababaaabaabbbbaabababbbbbabbaabbbabbbbabbbbbaabbaaaabbabaabbabaaaaaabaaababaaaaaabbbbababbbbaabbababbaabaabbbabaabbabbbabbabbbbbaabbaabaababbbbbabaaaaabbababbaaabbbaaababbaaabaaaaabbbbabaaabaaabbababbbbaababbbbbbaaaaaabbbbbbbbbaababaabaaababbbbbabbbaabbbbbababaaabbabbabaaababbabaabaaaaaabbbaabbbababbbbaaabbbabaabaaaabbaaabaaaabaaabbaabaabbbbbbaaaabaaaabbaaaababbabbabababbabbababbaaaaabaaaabbbbabbbbabbbaabbbbbbabaababbabbbbaababababaaababaaaaabaaaabaaababbaabbbabbabbabababbaaabababbaaaabababbbabbbbaabbbabaabaabbabbabaababaaababababaabbabbbbbaaaabbabababbabbbaabaababbaaaabbbbaabbaaaaabaaaaaaabaabbbbabbaaaababbaaabbabbbaabbaaaabbbbbabbabaabbababbbbbbbaababbbabaaabbabaabbbbbbababaabaabbbaaabbbbbababbaabaaaaabbabbbababababaaaaabbbbbaabbabababbaabbaaaaababaaabbbbaaaaabbbaaaabbbabbaaaabaaabaaaaabbabbaabbbbaabbbbabbabaabbbbaabbabbabaabbbaaabbabababbaabaaaaaaababbabbbaabaabbbbbbababbbaaaabbababbabbababbbaababbbaaabbabbbbbbaaabaababababbabbabbbbbaabaaaaababbbabbbabbbaabbaaabbaaaabbbbbaabbbbbaabaababbabbbbabbabbabbabbababaabbaabaabaaabaaabbabbbaaaabbabaabbaababaaabbbbabbbababaabaaabbababbabbaabababbbbbbbbaabbbabbabbbabbaabbaaabbbabaababaabbaaabaaaaabbbbbbbbbabaababaaaaaaaabababbaaabaabbabaabbbaaaaabbabbbaababbaabbbaabbbabbabaaaababbaaababaababaaaaababaaaaababbbaaabbbaabbbbbbabaabaabbaabbbbbabbbbbbbaaabababbaaaabaababbaaababbbabbaabbbbababbabaaabbbabaabaaabbabbaaaaabaabbbaaabaabaaaaaabbaabaaabaaabbbabaabbabbbaabaaaaabbabababbbabbbbbabbaabbbabbbaaabaabbaabaababbababbaaabbbbabbabaabababbbbbbabaaaabbaabbabbbaabaaaaaabbaaaabaabaabaabaaabbaaaaabbaaaaabaaaaabbabbaabbabbbaaababbaaaaaaaaaaaaaabbababbbbabbaaaababaaaaabaaaabbbbabbaaaaabaaaaaababbababbbbaabbbbbbbaaabababbabbbaaababababababbbabbbabaabbbbbbabbabbbaaababaabbbabbabaabbabaabbabababbbaabababbaababbbaabababaaaabaaababbbbaabbbabbaabababbbaaabababaababbbabaaaaaaabbaabbabababbabbbababbbaabbbbbbaabbbabbbaaaabbbbbaabbbbababbbbbaababbaabaababbababababbaaaabaaabaabbbabaabbababababbbabbbaabaabbababbbbabbaabaababbbabaabaabbabaaaaababbabbbabbabaaababbbaaababbbbbabbbabababbbbbbbbaaaaaabbbbabaaababbabaabaabbbbaaabaaabaabababaaabbaaabaabbbabbbbabaababaabbaaabaabbaaaabbaaaabbbaaaaababbaababbabbaaaabbbbababbbbaaabbbbabababbabababbabbbbbbabbabbbbbbbbbaaaaaabbbbbbababbabbabbabaabbabbababbababaabaaababaabaababbbaababababbbbbbbabbbbaaaaaabbaabbabbaabbabaababbabaaaaaabbbbababababbbbbaabbbababbbabaaababbabaabaabaabaaababbbaabaaaaaaaaababababbababbababbabaabaabbabaaaabbaaabbbbabbbaabaabbbaaabababaabaabaabbbaaabaaabbbaabbbabbababbabaaaabaabababbbbabbababbbbbbbbbbabbaabaabbaaababbbaaabaaaaabaaaabbaaabbabbababbabaababbbaabaaababaabbaaaabbabaabaaabbbaababbabaababbababbababababbababaaabbbabaabaaaabaaabbbabbbbaabaabaaaaaababaaaababbababaabbaaabbababbabbbaaabbbbaaaabbbbabbabbabbabbabaaaabbbbbbaaaaabbababbbabbaabbbaababababbbabaaabaababbbbaaabaabbbbbabaaababbabbabbbbaaabbababbbbbabbbabaaaababaaabaabaaabbbbbbbbbaaababbbbbaaababbaaaabababbbbbbabaababaabaabababbbabbabbaabbaabbbaaabbababaabbabaaabbabbbbbbabaaaaabbaaaabaabbbbbbababaababbaaabbaaaabbaababbbabababbbbbbbbaaabaabbbbaaaaabbbababbbbbbaaaaababbabababbaabaabababbbaaaaabaababbaabbaababbbbbbbaaaabbbaabbbaabaaaabbaababaaaaaababaabaabbbaaabbaabbbbababbababbbabbbabbaabaaababababbbbaaabbaababbbaabbaaabbabaabaabbaabaabbababbbababaababaaaababbbabbabbbbabababbbbbbbabbbbaaabbaaaaababbbbabbbabbabaabaaabbaaababbbaaaaababbabaabbaaabaaaaabaabaaabbbbaaabbabbbababababbaaaaabbbabbbbbbbbabbbabaabaababaababbababbbabbabbaaaabaabbbabbbabbbbbaaabbaaaabaaabaabababbbababbbaaaabbabbbaabaaabaaaaabbbaaaababaaabaaabaabbbaaaaaabbbbabbabbbbababaabbabbaabaabaababababaaababbabbabaabaababbbaababaabbaaabaaaabbbbbabaaabbbbababbbbabababbababaabbaabbaaabaabbbaabbaaaaaabbbbaabbbaaabaaabbaaaaaabaabababbaabaababbbabbbbabbaabbaaaaaabbaaaaaaabbaabbbaabaabbaabaaabbabaabbbbabaabbabbbbababbbababaababbaaaaabbbaaabaaaabaababbbbabaabbaabbabaabbbabbabbaaaaaababaabbaaaaaabbbbabbababbbabbabbabbbbbbbbbbaabbabbbaabbbbbbbbbabaaabababaaaaabbbaaaabbbabbbbabbabbbbabaababaaabbabbbbbbaaaaaaabaaabaaababaabaaabbbabaabaaaaababaaabbabbabbaabbbabbbaababbbbbbabbbaaaaaabbaabaaaaababbabbbbaababbbbabbbaabaaababbbbaabbaaaabbbbaabbbaabababababbaaaaabbbbaabbababbaaabbbabbbbabbbbbaabbaaaabbbabbabbaabbbabababbbbaaaabaaaabbaabababaababbabbaaaabbbaaaaababbbbaaaabababbbaaaaaaabbabbaaabbbabbabbabbaabbbbaabbbbabbbabbaaaabababbabaabaabaabaaababbaabbbabbaabaaaaababaabaabbaaabaaaaaaabbabbabaaabbbaababaabbabaaabaaabbbabbbaabbaaaababbbaabbaabbbaababbabaabbbabaaabaabaaabaababbaababbabbbababbabbaabbbaaaaabaaababaababaaabbbabbbbabaabbabaabbaabbaaaaaaabbabbbbababbabbaaaababbaaabbbbaabbabbaabaabaaaaababbbabbabbaaaaaaaabbaaaabbbaabaabaabbabbbaabbababaaabbaaaababbbaabbbbaabaabbbaabaaabbaaabbbbbaaababbbaaaaabbbbbabbbbbbabbababababababbaabaabbaabbababbaaabbbbbaabaaabababbabbbbbbbaabbbbabaaababbaabbbbabbbaabbbbaaaabbaabbaaaaabaabaaaaaaaabbbbbaaabbaabbaabaababaabbabaabbabbbababaaaaabbabaabaaaabbbabbabbbaabbbabbbababbabbabbbaabbbabaababaaaabbabaabbbabaabbaaabbbbbaabaabbababbbbbabaabbaaabaaabbbbaabbbbbbaabbaabbbbababaaabaabbbababbaabaaaababbbabababaaaabbabbaabaaaabbbaabbabbaabaaaabababbbbbbbbaaabbbabbaaabaaababbaabbaaaabaaaaaaababaabaabbabaabbbaaaaabbabababbbbabaabababbbbbbbabaaabaaabbbbaaabbbbabaababbbaaabaababababbbabbaaaabbbbaaaabbbbbbbbbabbbabbbbaabbbbaabaabbbbbabbbbaababbbabbabababbaaababbbbbaabbabaababbaaabbbbbbbbabaabaaaaabbbaabbaababbbbbbaabaabaaabbabbaaaaababbbaabaabbaaababbbabbbaaaabbbbbbaaaababbaaabaabaaaaaaabaabbaabbbaabbbaababbabaaabaabbabababbaabbbabbbaabbaaabbbababbaaaabbbabbbbbaaabaababbbabbaabbabbbabababbabaaaaaaabbabbbabaabbabbbaaaaabbbabbaaabbababbaabbaaaabaabaabbaaabaabbbaabaabaaabaababbbaabaabbbaaababbbbaaabaaaabbababbabaaaaabbbbbbaababbbababbbaaabaabbabbbbababaababbbbaaaaaaabaaababababaabaababaaabaabbabbbaaaabaaaabbbaaaaaabbaabbbbabbbabaaabbbaabbaababbbbbbabbbbababbbabababbbbbaaabababaababaaaabaaabbbaaabbabaaabaabbabbaaabbaabaabbbaabbabbabbababbabaabbaaaaababbababababababaababaaabaababbaabbbaabaabbaabaabaabaaaabbbbbabbbababbbbbaabaabaaabbbaaabaabbaababaaabbabaaaaabababaababbaabbaaabaabbabaababaaaaaababbabbaaaabbabaaababaaaabbbaaabbababaaaaabbbbababbaaabaababbbaabbbabbbbabaaabaaabbabaababbbaaabbabbababbbbbbbbabbbbababbbabbbaaaaababaabaaabbbaabbabbbbaaabbababaabbbbaaaaaaaabbbabbababbaaaaaaabbbbbbbaaababbaaababababaabaabaababbbabbaabaaabaababbbbabaabaaaabaabaabbbbabbabaaaaabaaabbbbaababbbabbbbbbababbabaaabbaaabbabaaabbabaaaaaabaabbaaaabaabbbbbbaabbabaaabaaaaabaabbaabaabbababababbbabbbabbbbbbaaaaabbabbbbabbaabaaabbbbaaabbbabbbbbbbaaabaababaaaaabbaaaabbbaaaaaabbababababbbababbbabaaabbbaabbbaaababbbbbaabaabbbabbbbabaabbabaabbbabbabbababaabbaabababaabbaaaaabbbbabbabbbbaabaababaabbbaabaaaabaabbbababaaaaaaaababbababbbbbbabababbababbbababaabababaaababbaaabababbabbabbbbbbaaabbaaaaaaaababaaaabaabaaaabbaaaaaabbaaaabbbabababaaaabbaabbaabaabbbbaaaaaaaabbbabababaaaaabaaababbbbaaabbaaaabbabbaababbbaaaaaabaabbbbabbbaaaabbbabaabbababaaabaabbbaababbabbababbbababbaaabbabbbaaabbabbaabbbabaabbbbbababaaaaabbbabbbbbaaabbbbbabaabbbbbbbbbabbbabbababbbbaaaaaabbababbabababbbbabbabaaaababbabaababbbabbbabbbbbbabbbabbaabababababbabbaababaaaababbbbabbaaaabaaaabababaabaababaaaaabbaababababbbaabbbaababaabababbbaaaabbbabababbbababaaababaaabbaabbabbbbababababbbbaaababbbaaaaaaaaabaabbababbbabbabbbaabbbaabbabaababbbbbbbbbaabaababbbabbaabaabaabbabaabbbbababbabbbbbbabaaaaabaaaabaaaabababbbaabaaabbabbaaaaaaaaaaabbabaaabbaabbababbbaabaabbbbbbabbbaaabbbabbbaabbbabababaaababbabababbabababababbababbbabbbabbabaabbabbaabbbaaaaabbabaababaaababaaaaaababababbbabaaaaaaabbabaabaaabbbbbbaaaabbaaabbaaaabababababbbaababbaabbbbbaabaaababababaabababababaabbabbaaabbbaabbabbbabbabbaaaaababaaabababbabbbbaababababaaaaaabaaabaaaaaabbaaaaabaaaababaaababaabbbbbabaabbbbabbaabbabaaabbabbabbbbbaaabbbaabbababbabbababbaaaaabaaaabaabaaabbbaabaababaaabababbaaaabaababaabbaaabaaabababaaaabbbababbabaabaabababaabaabbabaabaabbaabbbbabaaabababaaaabbaabaabbaababaabbabbabaabbabbaabbaabbaabaaabbaaabababbbbaabaababbbaaaabababbabababbbaaabababbaababaabbaaabbbbabbaaabaaaabbaaaaaabbababaabbaabababbabbabaababaabbabbaababaaaabbaababbbabbbbababaabaabaaabbbabbbbbaaabbabbbbabaabbbbababaabbbabbbbaaaabbabbbababbbbabbbbbbbababaaaaabbaaabbababbbabbbbbbbabaababababbabbbbbbababbabbbbaabaaabbbbaabbaaabbaaababbbbabbabaaaabababbbbaabbaabbabbabbbbbabbbbabbaaaabbabbbbaaaaaaaaaaaabaaaabaaaabaaababbaabaabaaaaabbbbabaabbababaabbbbbaabaababaabaababbbbaaababaabbbbabbaaababaabaabbaabbabaabaaaaabbaabbbabbabbaaabbababbaaaaabbabbbabaaaababaaaaaaaabbbaaaabbaaaaaaaabbbbababbaaaaaabaababbaabbbbbbaaabbaabbaaaabbababbbaabaababbaabaababbbbaabbbaaabbababaabbaabbbaaababbbbbaaaaabbbbbbbbbabbabbabbbaaababbbabbabaaabbbaababbabaabababbaabaaaabbbbaabbabaababaaaabaabaabaababbbbbabaabbaaaaaababaaaabbbbbbabbbbbaababbaabababaaabaabbaaabababbbbababaabaabaaabbaababaabbaaababbabaaaabaabbaaaabbbabbbababaabaaabaabbbaaaaabbbaabaaabbabaaaaabbbaaaaabbabbbaababaaabbbbbbaaaaaaabbbbabbbabbabaababbbaabbbaabbababbabaabbbbaaaababbaabaaaaabbbbbaababaabaabababbaaaaaabbbaaaaabaaaabbabbbaaaaaaaababaaababbbabbaabbbbbbaababaabbbababbbbaaabbaababbbabaaaabbbabbbaabbbbbbbbbbabbbabbababaaaabbaaaabaabbbbaabbbbaabaabaabababbaaababaaabbaaabbbbbbaabbbaaabababbabababbbaaaabbaaabaaaabaabbaaaabbabbabaabbaaaaaaabaababbaaaaabaabaabbabaaababbbbabaabaaabbbaaaabaabbbbabababaaaaababaaabbabbbaaaabbaababbabbaabaaabaabbaaababbaabbabbaaabaaaaabbaabbbaaabbababbbbaaabbaaaabaaabbbbaabbbabbabbbababaaaaaaaabbaabbabaaaabaaababbbabbbaabbabbbbaabaaabababbaaaaaaaabababbababbbbbbabababbbbabaaababaaaabbbabaaaaaabbabaabbaaabbaaaababbabbbabaabbbababbaaabbababbababbbbbaaabbbbbaabbaaaabbabbbbbaabbbaaaaaaabaaaababbbababbbaaabbabaaabbbbaaabaaabaaaababaababbbaabbbbbabbbbabbbabbabaabbbabbbbbbabbbbbaaabbabbbaabbbabbabaaabaaabbaabbbbaaaabaaaaabaaabbaabababaaaabbabababbbbbbbabaaabbbaabaaaabbaaaabbababaaaaaabbbbbbabbbabbaaabbababbbbababaaaababbababbbbbabbbbbaabbbbaabbbbbaabaabbbaaaabbbbabbabbbbbbbbbbbabbaabbbabaabbabbbbabaabbbbbabbbbbaabbababbabbbbbbbabaabaabbaabaaaaaaaabbbaaaababaaaabbababbbbaaaaaabaaababaaaabaabaabbbabbbaaabbaabbaababbaaaaabaabbaaaaaaabbbabaabbabaabbbbbababaaaaabaabababaabbabbaabababbbaabbbbbaaaaabaaababbbbabbaabbaabababaaaaaababaaabbaabababaaabbaaabbbbabaaaaaabaabaaaabaabbababbbabbabaabbbaaabbabbbbaabaabbaaabbbaaabaaababaaabbabbbabbabbabaaaabaabbaababaabbabbbbbbbbababbbabaababababbbbbbaaaabbbbabbbaababbaaababaaaaaaaaababbaaaaabababbbabbaaaabbaaaabbbbbbbabbbbbaaabaaabbbaabbaaaaababbbbababbaaabaabbaabbaababbabaaaabbbbbbaabbababbbbbbabaaaaaaabaaabbbaababbbabaababbaabbababbbbbabaaaaaaaaabbbbbbaaaabaabbaabaabaabbbaabbaaaababaababbbbbaababbabbaaaaabaababaababbabbbaabbbabbbababbabbaabbabbbbbabaaaababbbbbabaaabbbaaaaaaabbaaabaaaaababbbbaaababbabbbbbabbaabaaaaaaabbababbabaabaaabaababbbababaabaabbababbbbaababaababbbaaaabbbabbabababaaaabbabbabaabbbbbaaaabbaaabaabbbaabaabbbabbabababaabaaabbaaaaaaabaabbabbaabaabababbaaabbbbbbabababababbabbbbbbabbababbaaaaabbbabbababbaabaabababbbaaabaaabaaababaababbbabbaababbabbaabaaabbaabababaabbababbabbabaabaababbbbbbbbaababbbbabbabbbaabaabbbabbbbbabaaabbaaaaabbbbbaaabaaababaababbabbbaabbbaabbbbbbbbabababababbbabbbaabaaaaaaabbbabbaabababbbaababaabbbbbbbbabbaabaaabbabaaabbbaaaaaaaabbbbababbbbbabaaaaaabbbabaababbababababaabbbabbbabaaabaaabababbbbabbabbbbabababbaaaabbaabbaaabbbabbabbbabaaabbbabbabbaaababbbbbaabaabbbbaaaaabbabbbbbbaabaaaaabbbabbbbbaabbabaaabbaababbbbbbbaaabbabbbaabbabaaababbbbbbabbabbbbaaabaabbabaaaaabbbbbbababababababaababaababbbabaabababbabbbbbaabbabbbabbbbabaababbbbaabbaabbaaabaabbabbbaaaaaaaabaabababaaaabbaaababbaabbaaaabbaaabbbbababbaaaabbbaabaabaaababbaabbabbbbbbabbabbaabbbaaaaaaaabaaaabbabaaabaaaabbbbaabaaaaabbbaabbabaababaabbabaabbbbbbbbaaaaabaabbbababaaabbabababbbbaaaabbabbababaabbbbbbbbabbbabaaabbabaaaabbabbbabababaabbbbabbbbbaabbabaaaaabaaabbaababbbbbabbbbbbbbbbbababaaababbbabbaaaabaaabaabbbabbbabaaabbbabbabbbabbbbbbaaabbabbaaaaabaababbbbaaaabaabaabaabaabbabbbaaabbbabaabaabbabaaaabaaabbabbbbaabbbbbaababaabbabbbabbbbaabaaabaaabaabbaaaaaabbaabbaabaaaaaaaabbbbbbabaaabbbabbaaaaabbbbbbbbabbabababbbabbabbaaaaaaabaabbaabbbabbaabbbbbbbaabbbaabbabbabbbabbbbababbaabaaaabaaaaaaabababababaaaabaabbbbbaaabbabbbbbabbabbbbaaabaaabbaababbababaaabbbbbbbbbbbbbaabbbbabaaabbaababbaabaaaabbaabaaaaababbbabaabaaabaaababbbaabbbaababbbbbaababbaaaaaaabaaabaaabbbbaaabaabbbbaaaabaabbbbbbbabbabbbbbbaabaabbbaabaabbaaabbbbaabbbabaaaabbbababaaabbababbaaabaaaabbbbaaaababbbbbabaabaaaabbababaabaaaababbbabbaabbaabbbbbbbbabaaaabbaaabbbbaaabbbbbaaaabbaabbabbbbbaaabaaaabbaababbaaaabbaaaabababbbababbbababaababbbbbbbaabbaaababbabaabaabbbaababbbbbaaabaababbaabbbaaaababaaaabaaabbbabbaabaabaabaaaaabaabbababbabaaabbaaabaabbbbbababbbbbaabaaabababbababababbaaabaabbaabbbababbbabaaababaaaaaabaaabaabaabaababbbbaaabaaabbaabbabaaaaababbabaaabbabaababbaabbabbbabbabbbabbbaaabbabaabaaababbaababbabababbbbbbbaaabbabbbabaaaaaaaababaaababbbabbaabababbbbaaaabababaabbbbbbbbbaabbbbaaabbbabaaababbabbaabaaabbbaaaaabbbbabbbabbbabaabbbbbbabbaaaabbbbbbbaaabbaaabbbbaaaaabbaaaaabaabbaaababbababbaaaaaaabbbbbaaabbbbbaaaabaabaabbaababaaabababaaabbbbaabbbababaabbaabaaabaabbaababaababbbaaaabaaaababababaabbbbabbbbabbaaaabbbbabaaaababbbaabaabaababaaaaabbbaababaabbbabababbbbbabbabbababbaabbbbbaababbaabbbaaabaaaaaabbababbabbabaabaabbbabbaabbabbabaabbbaabaabaaababbaabbbaaababbaabbbaaaaabaababbaaabaaabbaaaaababaaaabbaabbaaaabababaaaaabaababaaaaabbbbabaaabaaabbbabbabbaaababbbbabbbaaaaaaababbabababaabbbababbbbabbaabbbabbbabbabbaabbbbababbaababaabbbaaaabbbabaaabbbaababaaaaaabbbaababaaabaaababbbbbbbaaaabbbaaabbabaaabaababababbababaaabaabbbbbaaabbabaaaabaaababbabaaaabbaabbbaabbaabaabaaaabbabbaabaabbbababbababababbbbaabaababababbbabaaabaaabbaaabbbabbbbabbbaabaaaabbaabbabbbabbaabbbbaabaaabbabbabbbaabababaaaaabbbaaaababbaabaabbaaababbabbbaabbaabbbaaabababaabaaaaabbbabaabbbabaabaaaabaaabbaabbbabbbaaaabaabaaaabbbaabaaabbababbbaabbabaaabbabbbbababaabbaaaaaaaabaabaabaaaabbbabaabaaaaaaababababaabbbaabaaabaabaaabbaabbbaababbbbbaabaaaababbaaabbbabaababaaaababaaabbaaababbbbabaaaabbabaaabbbaaabbbabbaababaabbaaababababbaabbbaabbbabbabbabbabbbababaaababbaaababaabbaababbbbbabaabbaaaababbbaabbbaaababbbbbaaaaaabaabaabababaabaaaaaaabbabbababbbbbbbbbabbbbabbbbaabababbbaaabaabaaaaababbbbaababbaaaabbabaaaabbaabbbbbbaaabbbabbaaaababbabbbababbabaabbabbbaabbbabbabbabbabbbbaaaabaaaabababaabbaabbbbbbbaabbbaababaabbabbbaabbabbbabbabaababaabbabaaaabbaababbababbbbbbabbbbbbbbbbaababbbababaabaaabbbaaaaaaabbbaaabaabbbabbbabbabaaabbaaabbbaabbbbaaabbaaaabbbbaaabbbabbaaaaabaaaabaabaaaababaaabaaaaabababababbabaaaababbbbaabbbaabababaaaabbabbbabbaaabaaaabaabbabbbaaaaaababbbbaaabbbaaabababbaababbaababbabbababbbbaababbaaabbabaababbbbbaaaabaababbbbbabbbaaaaababababaaabbbbbabababbababaabababbbbbbabbbbaaabbbababbbbbaaaaaabbaabbbbbaabbbbbbbaabbaaaaabababaaababbabaaaaaaaabbbbabbaaaabbabaaaabaaabbabaaaaaaaaababbabbabbabbabbbbabbbbaaabbbbaaabbbababbaabaaaaababbbaaaaaaaabbbbbaaaaabbbbaaaabaaaababbaabaababbbabbaaaababbabbbbbbbaaaabbabbaabaabbaaaaaabaabbabababbabbbabababbbbabaaabbbbbabbaababaaabbaaabbaabaaaabaaaaaabbbabababbaabaabbbaaabaabbbaaaabaabbbabbbbbabbbababbbbbaaabbabaabbbbaaaabbbbaaaaabbbbbbbbaabbaaabaabaaaabbbbbbbbbaabaaababbaaaabbaabbaaaaababbbbaaaaaabbabbaabbbbbbaabaaaaaaabbbbaaaababaaabbbaaabbbbaaabbababbababbaaababaaabbaabaaabbbbbbaabbaaabbbbaaababbabbbaababaaaabaabababaaababbabbaaaaaaabaabbaaabbaabbbbabbaaaabaababababaabaaaabbbaabaaaabbabaaaaaabbaabbabaaaabaabaaaaaabaaabbbaabababbbbbbbaaaaaabbbaaaabbabbbabbaaaabaababbbabaaaabababaaaaaabbababbaabbaaabbbaaaabaaaaaaababababbabbbaaaabaabaababbbbbababaababaaaabbbbbbbaababaaaaaaaaababbaabbbbaabbaababbabababbabaabaabbabbaaaaabbaababbbababaaaaababaabaabaabbabbbbbbbbabaaabaaabaaaabbaabaaaaaabbbabbabbaababbbbbaabbaabaaaabbbaabaaaabbbaaabbbaaaaaabbbbaaaaaabaabbbbabaaaaaaabababaaabaababbaababaaaababbbabaaabaaabbabbaabaaaabaababbaabbbbbaaabababababbbaabbaababbabbaaaaaaaaaabaabbababbabbbabababaaabaaaabbbaaaaabbababaaabababbaaababbbaabaabaaabbaaaabaabbaaaaabaaabbbbbbabbbbbabbabaabbbbbbaaababababaabaababbbbbaabbabbaaabaabababbabababababaaaaaabbaaabbaaabbbaaaaabaaababaaabbabaabbbaaaabaababbbaabbabbbabbabbbaaaababbabbbbbababaaaaababbbbaabaabbbabbbaaaaabbbbbabaabaababbabbabbbabbaababbbbbabbaaabbaaabbbbabbaabbabbaaabbbbabbabbabbbabaaabbbbabaabbaabbbabbaaabbbabbababaaaabbabbbbaaabbbbabaabaaabbbaaaabbbbbaaabbbbabaaaabbaabbaaaabbabbbaaabbbbabaaaaabbbabbbabaabaaaababbabbbaaabbabbabababaabbaaaaaabaababababbbbbbbbbaabbbabaabbabaabaaababbbaaababbbbaaaaabaabbbbbabaababbbaaabaaabaaaaabbbbbbbbabbaaababaaaaaaaaabbaaabbbabababaabbbbababaaabaabbbabbaababbbabbbbaabbaabaaaabaabbabbbaabaaaababbaabaabaababaaabaaabbabbbbbaaababaababbaabbbbbaabaaaaaababbbababbaabbababbaaabbbaabbabbbbbbaabaabaabbababbbaaaaaaaabbbaaabbabaabaababaaaababbabaaaababaababbbaabbbaabaabaabbbaababaaababbaababababbbaababbbbbbbbaabbbbaabbbbbbbbaabaabbbaabbbbbabbbbbaabbbaabaabbaaabaabbbbaaabaaaaabbbbbabaabbabbaabbaabbaabbabbababaabaabbaabbbbbbaaaabbbbabaaaabaaabbbabaaaaaabbaaaabbbabbbbbaaaabbabaababbaabbaaabbbbbbaaaabbbababaabbaaababaabbaabababaabbbbbaabaabbbabaabbbbaaaaababaaabbbaaabbaaababaaaabaabbbaaabaaababbabbabbabbbaabbaaabbaabbaabbbbbbabbaababbbbabbaaaabbababbabbbaabaabbabbababbbbbbbaabababbabaabbabaaaaaabbbbbbbbbabaaabbbbabbaababbbaabaababbabbbabbbbbbaaabababaabbaaaaaabbaaabbaababbbabaaababbabaabbaabbaabbbbbbababababbababaabbaabbaabbbaabaabbaaaabbaaabaaaaaababbabbababababbabbbaabbaaababbbabbabbbaabbbabaaabaaaabbaababaabbbbaaaaaabbaaabaababaabbbbabbbbbababbbbabbbabbbabbbbaabbababaabbabbbabaaaaaabaaabbbbbbbbaabbbbbbbaabaabaaaaababbaaabbbaababbabbaabbbbabbbbbaaaaabbabaaabbabbabbbaabbabbaaaabaabbbabaaabababaaaaabbbaabbbbaabbababbabbbbbbbabaaaabbbbbaababbabbbbbbbabbabaabaabbbabbabaababbaaabbbbbbbbabababbabbabaababbababababbbabbbabaabbbbabbbbbababaaabaaaaaaaaababbbbbabaabaabababaabbaabababbaabaababababbababababaabaabbabbbbbbaababbbbbabbaabbbaababaaaababaaaaabbabbbbabababbabaabababbabaaaabaabbbbaabababaaaabaabbabbaabaabbbbaaaabaaabbbaabaaabbaabaabbaabaaabaabaaaaaababbabaaababaabaaabbbbabbbaabbaaabaaaaaaabbbbabaaabbaaabaaaabbbaabaaaabaaaaaabbabbaaaaabbaabbabababbbaaabababaabaaaabaaabaaabbababbaaabbbabbabbbbbbbbaaababbaaabaabbbaaaabababaabbbbabbbbbaabaaabaabbbabaaaaaabbbaaaaababbbaaababaaaaaaababaaaaabaaabbaaabaababbbabaabaabababaaabbaaaaabaaaabaabaaabaabbbbaabbaabbabbbbbbbbbbbbbababbabbbbbbaaaaaabbbbbbbbbbbbbbbababaaabbaaaababbaabbbaabaabbababbbaabaabbbbabbaabbbbbaababaaaaaabababbbbbabbaaababbaabaabbbbabbaaabbbaaababbababbabbbaabababbabaabaaabbbbabbbaabbaaaaabaabbbbababbabbbbaaabbbaabbabbbaabbbbaabaaaabababbaaabbbaabbaabbbbbbaabbabaabaaabbbabababbabaaaaaabaabbabaabaabbabababaaaabaaaaaaabbbaaaabbabaababaaaaaabbabaabbabaabbabaaabaababbaaaabbbabbabbbabbbabaabaaabbbbbaababaabaaabaabaaabbbabbbbababaabababaabaaabbbabbbbbbbabababbbaaaabababbaaaaaaababbabaaaabababaaabbbaabbbbbabaaaabaaabaaaabbaaaabaaabababbbbbaaaabaabaabbaaaabaabbbbaaabaaabbaababbbaabbaabbaaabbaabbbaaabbbbabbaaabbabaaaaaaabaaabaaabababbababbaaaaaaababbbbabaabaabaabaaabbbbbbbbaaabbbbbabbabaaaabbabbabaaaaabbaabbababbbbbaabababbabbaabaabaaaababaabbbaabaabbaabbababbabaabaaabbbbaaabaabaaabbbbbbaabaababbabaaabbbabaabbbbaaaabbabbaaababbbaababbaaabaaababbbbaabaabaabbbbbbbaaaaaabaaaaaababbbbbabbbbaabaaaaaababaaababbbbabaaababababbbbbabaaabbbababbbababaabbaaaabaabaaaaabaabaabbaabbbaabbbbaaababaabaaaaababbabaaabaaaabbababaaababaaaabbbbaabaabababbbaaaabbbabaabaabaaaabbabaaaabaabbbabbaaabbaaaaaaabaabaaababbaaabaabbabbbbabbabbbbaababaaaaaababaabaaabaaaabaababbaaaabababababbbabbbaaaaababaababbabbbbbbaaabaababbbaaaababbbbaaabbaababbbabbbababaaabaaabaaaaaababaabbbbaabbababaaaabaabbaababbbababaaaaabbbaaaaaaabaabbaaaaabbbbaabbaabaabaabbbbbaabbabaabaaaaaaabbaabbabaaaaabaabbaabbbabbaaaaabbababbabbbbabaababbbabbbaaabbbbaaabaaabaaababababbbbaaabbabababaabbbaaaabaaabbbbabbbaababaaababababaaabaaabbbbababbbabaaababbbbbbabbaaababbbbaabababababaabbbbaabbaabaabaaaabbbbaabbbabbaabbabbabbaabbaabaabaaaaabbaaabbbbbbbbabbbaaaaaabbbbbbbbbabbbaabbbbaaabbaabaababaabbbbaaaaaaaaaaababbbbbbabababbbbabababbaaaabbbbbbabaaaababbaabaaababaaaaaaaaaabaabbbbaaaaababbaaabaaaaaaaaabbbbbbbbbbbbabbbaabbabaabbababaaabbaaababbabbbabaaababbbababbbbbbaabbababaaabaaabababbaababaaabababbbabbbbbabbabaaaabbbbabbabaabbbbaaaaaabbbabaababbabbaababbbaabbbabbaababaaabaabbababaabaabbbaaaaababbaaabbabaaabbbbbbabbabbbabbbbbbbbbaaaaaaaabbbaaabbbbbbbbaaaabaaaababaabbaaabbabaabbbbbbbabaabbaaaabaabbbabaabbbbaaabbaaabbbabbbabbababaabbabbbbbbbbabbbaaabababbabbbbbbaaaaababaabaaaaabbaaaaaabbbabbaaabbaaabbabbbbbaabababbaaaaaabaaabbbbbbaaabbbaaabaabbbaabbababababbaababbabbbababaaaabbbaaabaabaaababbabaabbbabaaaabbababaaaabbaabbaaaababbaaabaaaaabbbbbaaaaabbbbbbaaabbaabaabbbbbaabbabababbbbaaababaabbbababaabaaabbabaababbbbabaabbabbaabbabbbbabaabbbbbabaaaaabaabbaabbaabbbaaababbaababbbaababbaaaaaababaaabaaabaaababbbabababaaaabbaaabbaabbbbababaaabaaaaaaababbbbaaabbbabaaabbbbaaabbbaababaabbaabbababbbaaabbaabbaaabbbbababbaabbabbaaaabbbbbaabaabbabaabaaabaaaababbbbbbbabbbaaaaababbaababababbababaaabbababaaabbbbaaabaaaaaabaaabaabbababbbbbbabbaaabbbbaabbbaaaabbbaaabaabaabbbbbbababaabaabaaaabbbabaabaabababaaaaaabbaaabaababaabaabbbbbabbabbaaaabbbbaaaaabbbaaaaabbabaabbaaaabbbbbabaaabbabaababaababbbbaaababbbaaaaaaaabaaaaabababaabbbbabbbbbabbabbbaaababbbbbaabaaaaaabbbbaabaabbaaaaabbaabaaaabbbaabbaabaabbabbabbbabbbbbaabbbaaabbabbababbabbaaabaabbbaaaabbabbababbaaabababbbabababbbaababbbaababbbababaaaabbbbabbbabaabbaaaabbbbbabbabbababaabbaaabaaaabaababbabbababbbbbbaaaababbabbababbbabaabbbabbbbababaaaaaaaaaababaabaaaabaaaaaaaabbabbbbbabaabaabbaaaababaabaababbbabbaababababbbbbabbaaabaaababbaababbbaaaabbabbabbaaabbbbaabaabbabbbbbbbbabbaabababbbabaabaabaaaabbbabbbbbabbabbabbbbbaaabbbbbabbaaaabaababbbbababbbaaaabbbbabbbaaabbbaaabbaaabababbababaabaababbbaababbbbbbabababbbbbabbaaababbaabbabbbbaabbbaaabbbbbbaabbaaabbbabbbaabaaabaababbaabaabaabbbbbabbabaabbaaaaaabbbabbaabaabbbaabbbbbbabababaabbabbbababaaabaaaababbbaabbaaaaabbaaaaaaaabaababababaaaaabbbbbbababaaaaaabbabbbbabbbbbabaabaaaabbbabbaaaabbaabaabbababaaabbabbbbaabaaaaabbbbbabababbbbbababbabbababbaaababaabbbaaabbaabbabababaaababbbbabbbbaabbabbaaaabbababbabbbabbbabaaaaabbbbabbaababaaabaabbaabbabaabbaabbababaaabababbaabbbabbaabbaabbbbabbbabbaabbabaababbbababbbabababbabbbbabaababbbbbbbababbbbaaaabbaabbabbaababbaaaaaabababbababaaabaaabbabbaaaaababbbbbabbbaaabbbaaababbbababbaababaaababaabbbaabaaaabaabaaabbbabababababbbaabbabbabaabbbabaaaabbababbbabaabaaabbabababababaaaabbbbaabaabbabababbabbbbabaaabaabaaaaaaaaaaaabaaabaaaaabababaaabbbabbabbbbbaabaaabbbbaabbbbaabbabbbbabbabaaaabbaaaabaababbbbbabaabbaaaaaabbaaaaabbaaaaaaabaababaabaabbbbabbbbabababbaabbaaaaaaabbbabbbbbabbaabbbabbbabaaabaababbbbabaaaaabbbabababbaaaaabaaabbbbaaaaaaaaabbabaabbbaabbabbabbabbbabbbbbabbaaabaaabbaaaaababbbaabbaaaaabaaaabbbabbbbbababbbbaaabaaabbbbabbbbabbabbbabbaababbabbbbbababababbbbaababaaaaaaaaaabbbaaabbabaabababaaababbabbaabaabaaabaababaaaababbbbbaabaabbbaabbabbabbaaaababbababaabbaaaaabaaababbabaaabbbabbabbaaaabaaaabbbbaabaaababaabaaaababababaabababbabababbaabbbaaabbbbbabbbabaaaabbbbbaaabbaaaabbbaaaabaabbbbbbabababbabbabaaaabaaaaabbbaabbaaababaaaabbbbbbabaabbbbbbbbbbbababbaabaaababaaaabaaaabbbbaaababaaabbaaabaabbaababbbaaaabbbabaaaaaabbbbaaabbbbabbbbbabaabbbbbabaabbabbbbaabaabaaaaaaabbbaaabbbbaababaababbaabaaabbbbbaaabbabbbaaaaaababbbabaaabababaaabbaaabbaaabbabbbbabbababababbbbbaabbaaaaaaabbbbaaaabbbbabbabbbaaaaabbaaabbbaaaabbaabbabbbababbbaaaabbbbbbaaaabaaaabbbbbbabbabbbbaaababbbaaabbbbabaabbbabababaabbbbabaaabbbbbbbaabbabbaabaabbbabbaababaababbabaaababaaabbbaaaababbbabbaababababbbbbbbbaabbbbbaaaaaababaaaabaaabbbbabaabaaabbababbbbabbbbbaabbbabaaaaabaabaababababbbbabaaababaaaabbaabababbbaaaabbbbbbabbbaabbaabaababaaabaaaaaabbbbbaaabbbbbbabbbababbaabbaabaabaabbbbabaabbbbabbaaabbbabbbbababbaaabbbbaababaabbbabaaaabbabbabbabbaabbbbabbbbbbbababbbbabababbabbaaabaabbaaaababaabababbbaaaaabaabbbaabbbbababbababaaaaaaabaaaaaaabbababaabaababbbabaaabbabaabbaaaaabababbbbaaaabbabaabbaabbabbaaabbbbbbabbbabbbabbbbabbbbabbbababbaabbaababbabbaababbbbbaaabbaabbaaabbbbbabbbabbaaaaababbbaabbbaaaaabbbabbbababaabbbbaabaabaababbaaababaabaabbbaaaabbabaabbbbabbabababbaaabbbaabaaaaabbaabbbabbbaaabaabbbaabbbbbbbbaabababbbabbbbababbaababbaaababbaaaaabbbbaabbbaaabbabaabbbabbbaabbaaabbabaaababbbabbbaaaaaabaaaabbaabaabaaabaabbbabbbababbabbabbaaaabaaabaaabbabbaaabbababbbaaabbabbbbbaabbbaabbbaaabbbbbbbbbabbbbaaabbabaaaabbbabbaaaaabbaababaabbbababbbbabbaabaaaababbbabbbaaabaabbaabbaabaaaababbaabbababaaaabbabbaabaaaaaabbababaaabbbbbbbabbbaaaabaaababbbaabbaabaaabbaabababaabbaabaabbbaabbaaabaabbbbaabbbabaaabbbabaaaaabaaaaabbbbbaababaabaabbbababbbaaaaaabbbbbabbaabbbbaabaaababaabababababaabbababaababbbaaaabbaaababaaabbbababbbbabbbbaabaaaabaaaabaaabaaaaaaababaabbbbaabababaaababbbaababbbbbbbabbababaaabbabababbbaabbababbaaaabaabaaabbabbaabbbbaabbaaababaabbbbbbabbaaaaaababbbabbababbabaaaababaaaabbbabaabbbbbbaaabaabbbabbbaabaaabbababbbaaabbabbaabaabaaaabbababbabaabbaababbbabbabbbabaabbabaabbaaaabbabaaaaaabaaaaaaaaaababbbbaaababbaabbabbbbaaaabbbaabaabbbbababbabbbaaaabbbabbabbabbbaabaaabaabaabbbaaabbbaabbabaaabbbaaabbbabbbbaaaaaabbbbababbbababbaaabaaaaaaabbaaabbbaabaabbbaabbabbbbbabbbbaabbbbabababbaaaaabbaaaabbaabaabaaabaabbaabbbbababbababaabaabbbbaaaabbabbbbabbbaaabaaababbaabbbbaaabaaaabbbbaabbbbbababbbabbbbbaaaaabaababababbbbbabbbbabbbaabbbbbbabbababbbbbbbaabbbabaaaabbabaabaabaaaabbaaabbbababbabbbbbaaabbabababaaababaabaababaaabbaaabbabaaaaaaabaabbabaababaabbabaabbaaabaabbbaabaabbabababbababbabbabaababaaabbbaabbaaaaabaaaaaaabbababbaabaaaaaabbabbababbbaabaaaaaabbbaaababbaababbbbbbbbbaabbbbbaaaaabbabaababbbbabaababaabbbbaabbbbaababaabbabaaabbaabbbbbbaabbbbaabbbabbbabbababbaaaabbbabaabaaabababbaaaaaabbaaaabbbaaabaabbabbbbaaaabbabbaaaabbabbbbaabbabbabbbbaabbaaaaaababaaaabbaabbaabaababbaaaababbaabbaababbbbbbabbbbabaaaaabbaaababbbbabbbabbabbbaabbbabbbbabaaababbaaabaaaababbbbbbabaaaaaababbbaabbabbbabbbaaabbaababbbbbaabbbbbbaaabbaababbbbaababbaaaaaaababbabbaaaaabababaaaabaaabaababbabbabbaaaabababbbbbbbbaaaaaabaaabbababbabbaaaababababbbbaaaababbaabaabbaabbababbbabaabbbaabbbaabaaaabbabbbbbbbabaabbbbaaaabbabaaaabababaabbbababbaabaabbaaaababaabbaabbbabbbaabbababbbbabbaaabbbabaaaabaaabaababbababbbbaabbbaabaaabbbaaababbbaabbabbabbbbbbaaaabbbbabbbaabbabbbbaabbabbbabbaabbabbaabbbbaababbababbaabbaabbaaaaaaaabbaaabbaabbbabbaaaaaabaaaabababbbaaabbbabbababaabbbabbaabbbbbabbbaabaabbbaabbaaaaaabbabbaabbbbabbbbaaabaabbbaabaabaaaababbbabaabaabaabbabaababaaaababbaaaabaaaaabaabaaabbaaababbaabaaaaaaabbbaababbbabbbaaabbbaaababaaaabaaaabbabbabbaabbababbababaabbaababbbbabbaabbabaaaababaabababbbaaaababbbbaaabababaabbbaaaaabbbbbabaaabaabbabaabbbbbbbbaabbbaabaabaaaabaabaaaabbabaabbbbabaabbaabababbabbabbbbbbbbbbbaaaaabaaabbbbaabbbbbaaabaaabbbaaabbbabaababababaaaaababaaabbababaabaabaaabbaaabbbbabbaabababbbaaaaabbbbaabbbaaaaabbaaaabbbbbababaaababbbababbaaaabaaaaababbabbabbabaaaababaabbbbabbaabaaabbbbabbaabaaaaabbbbabbbabbabaabbbbabbabbaaababbaababbbaaababbbbbabbbabbabbbbbbbbbabaabaabbbabbabbabbaaaaaabbabbaaabaaabbabbbabaaabbababaabababbbbabbbbaabaaaaaaaaabbbaaabbbbabbbbabbaababbaaaaabbbbaaabbbbbababbabaaabbbbababbbabbabaabbbbbbbbababbabaabbbbabbaaabbbbbbabbaaaababaabbaabbbbaaabbababaabbaababaaababaaabbaabbaaabbbbbbbbbabbbaabbabababbabaaabbabaabbbbaabaababbbbbabbbababbbbaaabbaaaabababaaababbabbababbaabaaaaabbaaababaaaabaababbbabbababbababbababbabbbabaaaabbaaabbbabbbbaababbbbaabbaaaaaaabbaababaababbbabababbbaabbbbbbabaabbbaaaaabaabbbbbbababbbaabbbbbabaaabaabaaaabbbbbabbbaabaaaaaaabaaaabbabbbbbbaaabababbbaabaabbabababaaaaababbabaababbaababaabaababbababbabbbabaabbaabbaabbbabaababababaabbbbbbbbaaabbbabbbaababbaabbabbababaabbbbabbababaabbbabaaabbabaababbbbbabbabbbabbbaabaabbbbbaababbbabbbbbaabaabbbabbabaaaabbaabaaaabbabbbbabbbaabbbbbbbaaabbbbbababbbbaabababababbbaabbabbaabaabababbabaaabbbbbbbabaaababbabaaaabbbbaaaabababbaabaaaabbabbbaabbababbbbbaaabaaaaaababbbaabababbabbabaabbbabbbaaabbbbbababaaaabbbbbbbabababaabbbbbaabaaabaabaababbbabbbabbbbbbabababaababbbaaabbbbababbbbabaaaaaaabaabababbaaaabbaaaaabaaaabbaababbaabbaaaabbbbbbabababbbaabbbbabbbaabbaaaabaaaaaababaaaaabbbaaabbaaababababbbbaabaaabbabaabbaaabababbabbbaaabbbaaaaabaabbaabbbababbaabbbababbaabaabaabababbabaabababbbbabbbbbaaaababbbbbbbabbbaaaabbaaaaaaabbbbaabbbabbbabbaaabbaaaaabbbbaabbbaababaabaaaaabaaaabababaabbbbaaabbababababaaabbabaaabbbbbbbbbbbbabbaabaabaababaabbbabbbbbbbbbaaaaaaaaaaabbaaabaabbabaaabbaabbbaaabaabababbbababbbbaaabbbbabaabaaaabaaabbbbabbababaabbababbabbaaaaabaaababbbbabbbbbababbbabbaaaaabaababaaababaaababaabbaaaaabbbabaaaabababaaabaaabbbabbabaaaabbbbbabbbbbbaababbbabaabbbaabaaabaaaabaababbaaabbbaaaabbbaaaaaaabbbaabbabaaabbaabbabaababbaaabbababbaabbbaabbbaaaabbaaababbaabbbaabbaabbaabbaabbaabaaaaaababbaaababbabbabaaaababbbbbbbabbabbbaabaabbbbbaabbabbaabaabbabbbabaabbababaababbabaaabaaaababbbaaaabbbbbaabbaaabbbbbabbaabaababaaabbbbbbbbaaabababbaabbababbabaabababbbbaababbbbabaababaaabbabaabbbabbbbaabaaababababaababababbbaabaaaaabaaababaabbaababbbbbbaaabbaabbbbbaabbabbaaabbabaabaabbabbaabaaaababbbaaaababbaaababbabaabbbaaabbbababbbabbaaababaabaaaaabbbbaabbababbaaaaabaabbbabbbbbabbbaaaaabaabbabbbaabbababaababaaabbaaaaabbbaaaababbabbbbbaababbbaabaaaabbbbaabbbabbbbbaababaabbaabaaabbbaabaabbbbbaababaabbbabbbbabaaaaababababbaababbaababababbaaabbbbbaababaaabaaaabbaabaaabbaabaabbbabaabaaaaabaababaaaabbaaabbbbbbaabbabbabbaaaaaabbaabbabbababbababbababbabababaabaaaabababbaabbbbbbbbaaabaabaabbbbaaaabbbabbabbbbabaababbabbbbbbaaaababbbaaabbbaaaaaabaababbaaaababbbbaababbababbbbbabbabbabbaabaaaabbaabbaabaaaaaababbabbbaaabbbabbaabbabbaabbabbbabaaababbaaaababbaaababbaaaaabbbabbaaabaabababbbabababbaaaaaababbaabbbaabbbaababaaabaabababbabbbaabbbbaabaaabbbbaaaaaaabbbbbaabbbbbaaaabbababaabbbbbabbbababbbbabbabaaaabbaaaaaabbababaaaaabababbbbbbaabbaabbaababbbbbabbbbabbbabbbababaaaabbbaabaaaaababbabbaabbabbbbababaaabaabaabbbbabbbabaabbaaabbbbabaaaabaabaaabaababbbaaaabbbababbbbbbaabaaaaabaabbabbaabbbabbaabbbabbbbabaaaaabaababbbabaaababbbaabbabaabbbaaaabbabbabaaaaabbbbaababaaababaababbabbbbabaaaabbbabbaababaaabbabaaaaaaaabaaaaaabbaabbbabbabaabbaaaaabbaabbbabbbbabaababbaabbaaabbabbbaaabbbbbaabbabbaaaaababbaabaababbbabbababbbaabbbbabaaabaabbbbbabbaabbaaaababbbabbbbbbbbabbbabbbabaabbbabbbbbbaababababbbabbaaaaabababbbbbbbabaaaaaaaaaababbabbbbababaabbbbaabbbbbaababbaaaaabababbbabbbbaaababbbbbbaaaaabababbaaaababbbaababbaaababababbbbabbbaabbbbaaaabaaaaabaabaabbbbbbbabbaaabbbaabbabbbbaaaaabaabbbbabbbbbaaabaaaabbbaabaaababababababbabaaaabaabbabbbabaabaaabbabaaababbbbaaabbbaabbaabbaaaaaaababbaaaaaaabababaaabaaabaabbbabaabaabaaabbbbbababaabaaaabbabbbaabaababbbbbaaaabababbbabaaaabababbbbbbabbabaabaababbaaabbabaaaaababbbaaabababaaabaaabaaabaaaabbaaabbbbaaaaaabaaabababbbaaaaabbbababaabbbbaabbaabbbabababababababbbaaababbbbbbabaabababababababaaaaabbbaababaaaabaabbaabbbaaabbababbaaabbabaaabbabbbbaabbbbbababaaaaaababaaabbbbbbbaabbbaabbbbbbabbabbabaaaabbbbbaaabaabbbaabbaaabbbbbbabababaabbaababaaaaaabaabaabbbbbaaabababbbaaababbbabbbbbbabbbaaaabbabbabbaabbabbababbaababbaaabaabaaaaabaabbbabbbaaabbbaabababbbbbbbbbaabbaabababaabaabaabaababbbbbababaabbbbaaaabbaabbbbaabbaaaababaaabaaabbbabbbabbbbabbbaababbaababbaaabababbbabbabbbabbaaaaabbbbbbbaaabaabaabbababaabbaabbaababbbbbbaabababaaaabbbbababaaaabababaabbabbbbbbbbabbbaaaaabbaabbbbbababbbbababbababababaabaabaaabbababbbaabaabbaaaabbbbbaaabaabaabbabbaabbababbbaaaaabbbbababaabbabbbabbbbbaaabaaababababbbbabaaaababaaabbaabbabababaabaababaaabbbbabaabbbaabababaabbaabbbabababbaaaaabbbbaabbbaaabbbbbbbaabaabbbaabbabbbbaaaaaabbbabbabaabaaabbbbbbbbabaabbbaaaabbababbabbabaababaabaabbbaabaaaabbbbbbbaaabaabbaaababbaaabbbaabbbabaababbbbbababaaaabaaaaaabbbababababbbbbaabababaaaababbaaaaababaaaabaabaaaaabaaaaaabbbbbabbbaaababaaabbbaabbabbaabaaaaabaaaaabbbababbbbaaaababababbaaaaaabbbaaabaababaabbbaaaaaabaababbabbbbaaabbbbbaabbbbabaaabbbabbaabaabbabababbbaaabaaaabbababaabbbabababbaabbaabbbbababbaaaabbbabababaaabbaaabbabbbbbbbabbabbbabaababbbbbaaabbbbababaabaaaabbbbbaaaaaaaaabbabbbabbbbabbbabbbbbbabaaabbbabaaaaaaabbabaabbaaababbabbbaaabaaaabaabaaababaabaaaababaaabbaababbababbaabbababbaaababaabbaaaababbbabaabaabbaaaababaaabbaabbaabbaabbbbabbbbbbabbabbbbaaaabaaabaaaaababaabbbabbbabbbbbbbbbbaaaaabbbbbbbbaaaaaaabbbabaabaabbaabbbbbaaaabbbbbbaabbaabbbabaaabaaaabaababababbbaabaaaababbaaaaaaabbaabbabaabbabbabaaababbabaabaabbbaaabaaabbbaabbaababaaababaabbabbabababaaababbabaabaaababbbbbabbbababbabbaabbbbaaaabbbbaaabbabababaaaabababbabbbbbbabbaaaabaabaababaabbbabaaaabbababaaaaabaaabaaabbbbabaabababbbbaabaaababbbababbaaababababbbabbaabbbbababbbababbaababbabbbabbbbabbbbababbbabbbaabaaaaaaabbaabaaaaabbbaaaaabaaaaabbaaababaaabbbbabaababbbaaabbbababbaaabaabbbbaaaabbbaabbbbabaaabaabbbabaaabababbaaaaabbaaabbaababaaaabbaabaaaabaabababbaaabbaaababababaababababbabbabbbbababaababbbabbaaaabaaabaaabbbaabababaaaabaaababbbaabbabababbaabaabbabbbbbbbbbbbaaaaabbaaababbbabababbbbbbbbbbbabababbababbbbbaaababaabbababaabaaabbabbaabaabbbababbaaaaaabbababaaabaabababbabbbbbaabbaabaabbaaababaaaabaaaabbbabbbabbbbabbaabaabbbbababbaaaabbabbbbabaabbbbbbabaabbaabbabaaaabbabbbababbababbababbababaabaabbaaabbababbaabbbbbbbabaabaaaaaabaabbbbbaabaaababbaaaababbbbababbabbaaaabbbabaaababaaaababaaabbaabbaabaaababbbbababbbabbaaaabbababaaaaabaabbaaabaaaabaaaaabbaabbbbaababbaababbbbbbabbbababbbbbbaaaababaaaabbaababaabbabbaaababbaabaaabaabaaaaabbaabbabbabaaaaababbbbbaababaabbbaaabbbabaabbbabbbbbaaaababbbabbbaababaaaabbabaaaaaabbbbbbaaaaaaaaabbababbabbbabaaaaabaaabbaaaaabababbbaabaababbbabaababbabbbbbbaaabbaaababaaaabbbaaababbabbbbaabbbabbbbabbbaabbabbaaaaaabbbbabbbbaabbbbabaabaabababaabaababaabbbbbabbbbaaaabaaaabaaabbaaaaaababbabaabaaaabbababababbbababbbbbabbbbabbbabaabbaaabaabaabababaabbbababaabbbbababaaabaaaabbaaababbabbaabaababbababbbababababbaabaaaaabbbbaabababaabaaabbabbabaabbbbaaaabbaabbbbbabbbbbbbabbaaaabaabbbbabaabbbaabaaabbaabbbbaaaaabaababbaababaaaaaaabbabaaababbbaababbaaaaaabababbabbaaabbbaaaaababaabbabbbbbaabaaabababababbbbbaaaaabbaabababaabbaabbbbbababbbaaaabbbbbaaabbbbaaabaabbbbabbbabbbbbaabaabbaaaabbaaaabaababbaaaabbaabaababbaaabbbaabababaabbabbbbbbbabaabaaabbabbaaaaaababaaabbbbaababaabaababaaabbabaaabbbaabaaaaaabbbabbabababaabaabaaaaabbabbbbbabaaabaaabaaabbaabbbaabbbbaaaaabbaaaaabbabbabaabaaaabaabaabaabaabababbaabbabbabbbabbbaabaaabbbbaababbaabbababbbaaaabaaabababbabbbaababaabaabbababaaaaaaaabbaaabaabaaabaabbaabbbaaababbababbaabbbabbbbbaaaaaaaaababbababbbbbbbbababaabbbabbaababbaaabbbbbaabaaabbabaabbaaabbaaabaababbbbabaabbbababbababbbbbababbbbbabaaabbbaaabbaaaaaababbabbaabbaaaaabaaaaaaabbbababaabbbbabbabaabbbabaaabaabbaaaababaababbbaaababbabbbaabaabbbbbabbaaabbbabbabbbbbbaabbabbbabbbaaababbaabaaabbabbbbbaabababaaabaaaaabaabbaaabaaabbbabbaabbabbabaababaabbbaaaabaababbababaaaaaababbbbaabbaabaaabbabbbbbbaabbbbabbabbabbabbbaabbbbbaabbbbbabbbbbaabaabbaabaaabbbabaabbbbbbbbbbbbbbaababaaaabaabbbbababbbbbabbbbaaaabaabbbbbabbbbbbabaababaaaabbaaaaaaabbbababaabaaabbbabababababaaabaaababbaaaaaabaabaaabbbababbaaabaababbaababbaabababaaabbababaabbabaaabbabababbbbabbbabaaaabbaaabaabbababaaabbbabababbabaaababbbbbbbaabbaabababaabaaababaaabbaaaaaabbaaabaaabbbbaaaaabbaaaababaaaaabbabaabbabbabaababababaabbbbabbbabbaaababbaababababaaabaaabbabbaababaaaabaabbabbabaaababbabbaababbbbbabaabaaabaababbbabaaabbbabaaaaabaaabababaaaaaaaabbbbbbaaaababbbabaababbabbaaaabbbabbbabbabababbbaabbbabbaaabaaaababbababbaabbbabbaabbbbaabbbbaaabbbbbabaabbabaabaabbbbaaaababaaaabbbaaaabababaabababaabaaaaaabaabaaaaaaaaabbbbbbaaaaaababaabaabaababbaabaababaabababbabbbababbabbabaaabbabababaaaaaaabaaaabbbbbbaabbaabaabbaababbabaababbbbbbaaaababababaaaaabbaaababaaababbbabaababbabbabbabbbabaaabbabbbbbbbbbabababaababaababaababbabbaababbbbaabbbaaaabaaabbabbaaabbbabababbabbabbaaabbbabbbaaabbaaabaababaababbbbabbababaaaabaababaaaaaaaaaabaabbabbaabbbabaaabbbabbbbbabbbbaabbbaabaababaababbabaaabbabbbababbaabbbbaababbabbbaaabbabaababbabaababaababababaabababbbaaababbabbbbabbbaaabaaaabbabbabbbbbbababbbbabaabababbaabbbaababaabaaabbbaaaabbbbaaaabaabaabaabaababbbbaaaaaabbbbbaababaaabaabbaaabbabababaaababbbabbabaaaabbbabbaaaaababbbabaabaabaaaabbbaababaaaaabaaababbbbababbbabbabbbaaaaaaaaabbbabaaaaabbbabaabbbbababaaaaaababbababbabbababaaabaabaabbaabbaaabbbaabababbaababbbaabaaaaaababbbbbaabbbbabbaaaaaabababbabaabbbaabbbbaabbabaaabababaaaaaaaabbbabbaaaabbbbbaaababaaaaaabbbbbabaabababaabbabbababaaabbbbbabbabaabbaabbabaaaaaaabbbbaaabbaaabbabbbbaabbababbbbbbababbabbaaabbbaabbaaaababaababaaabaaabaabbabbbabababaaaabbbaabbabaaabbaabbbaababbabbaabbabbaababaaabababbababbbbabaaabaabaaaabababaaaaaaabaaaabbbaabbbbbabaaaabaaabaababbabbbaabbbabaaabbbbbabaababbaabbbabbbbbabbabbbaaaabbbaabaaababababaabbbbbaaabaaaaaaaabaaababbabbababbabaababaaabaabaabbbbabbaaabaaabaaaaabbbaabbbbabbbabbababaaababaaabbbbaabaaabbabbbabbbbbaaabbbbababbbabbbabbaaabbbbbbaaaabaabaaaabababbaabaabbabbabbababababbbabaabaababbabbabaaabbababbaabbbabbbbaaaaababbbaaaababaaaabababaabababbaabbaabbbabbaaabbaabbbbbbaaaabbaaabbbabbbaabbbbbbabbababaabbabbabaaabaaaabaabbaabbbbbbaabbbbbbbaabbaaabbabbaabbabbbaababbaaaababbaabaaaababaaabababbabaabbbbbaaabbbabbbbabbabaaaababbaabbaababbaaabaabaabbbbbbababbaabbbbbbaaaabaababaaabaabaabaaaaaaaaaabbaabaaabbaaaaaaaaababbbabababbbbbaaabbbbaaabaaaabaabaaaababbababbbaabaaaaaabbbbbbbabbbabbbababbabbbaaababbabbbbbababbbaabaabaabbaaabaaabbabaaaaaabaaabbbbbbaabbabbbbbabaabaaaabbabaaaabaaabbabbbabaaaabbaabbbbaaaabbaaabbababababaabbbbbaaaabbaababaabbbaaabaaaabaaaaabbaabbbbaaabaabaabbaaabababaaaabbbbabbbbaabbabababbabaabaabbbbaaabbbbbabaaaabbbbababaaabbbbbbbaabaabbbaaabaabaabaabbaaaabbaaaabaaabaabbbbababaababbabbabbabbbabaabbaaabaabbabbbbbababbabbaabbbabbbbbbbaabaababbbaaabbababbaababbbabbbaaabaaabbaabbbbabaaabbaabbaaabbabaababbaaababbbabbabbbabbabaabbabaabaaababaabaabbaaabbbbbabbbababbababbbaaabaaaababbaababbaabbaabbbbbbbaabaaaababaabaabbbbabaabbbaaaabbaabaabbabbabbbbbabaaabaabaabbbbbbbbaabbbbaaabbabbabbaabaaabbaabababbbaabbbbabaaabbaaaabbabbaaabbabbbaabbbaaaaabbbabaaabbbbbaaaaabaaaaaabaababababababaabbabbaabbaababaabbbaaaaabbabbbababaabaaaaaaabbaaaababbbabaabbaaaabaaabbaaaabbbbaabbaabbbbbabbabbbbbbbbaaaaabbbaabbaabbabbababbaababbaabaaabababbbbbaababbabbbbaaabaabaaabbaaabaaababaabaabaaabbaaababbababbbbaababbaaababbaabbbaaaaabbabbaababaaaaababbaabbbabbbaaaabbaaaaaabbaabbaaaabababbbabbaaababaabbabbbbabaaababababbbbaabaabbabbbbaaabbaabaabbabbbbababaaaaaaaabbbaaabaabbbabbbabaabbaabbbbabbbbbbbababbabbaababbaaabbbbbaabababaaaababbababaaaaaaababbbabbbaaaabbbaaaababbabaaabbbabbabababaaabaabbbbaaaabbbbaaaaaaaaabaaabaaaabbaaaabbabbaaaaabaaaabbabaaabaabababaabbbabaaaaabbaababbabaabbbaaaaaaaababbabbbbbaaabbaabbabaaaaaabbabbabbbaabaabbbbbabaaabbabbaabbbabaaabaaabbbbaaaaaabbbbabaabbbabbabbbbbbbabbaabbaaabbaaabbabaababbbabbaabababaabbaaabaaabbaabbbaaababaabbbbaaabaaaaabbbabbabaaabaabbaabaaabababaababbbbbbbaabaaababbaabaaabbbbbaaabaabbbaababaabbaabbbbabbabbaabbbabbaaabbabbabbbabbabaaabbabbaaabbbabaaaabbbabbbbaababaababbbbbaaaaaabbabaaababaaabbbabbaabaaaabababbabaaaabbbbbbbabbbababababbabbababbbabbaabaaabbbbabbbbaaabbbbbbaabbaaaabaaababbbaaabbaabbabaaaaaabaaaababaaabababaaaaabbbabababbababbbbabbbaaabbbaababbbabbaabaabbbaabbabbaaabbaabaabaababaababbaabbbbbabaabababababababbababbbabbabaabbaaabbabbaabbabbabbabbbbaaaaabaaababaaaaabbabbabbbaaabbbabbaabbababbbaababbbbbabababbabaabbaabbbabbaababbababbbbbbabaabaabbbbaababbbababbbbaaabbbaabababbbbbaaaababaabbbabbabaaabbaaabaaaababbbabbbaababbabaaabbbaabaababaaaaaaaabaaaababaaabaaabbbbbababbabbbaaabbaabaaaabbbaabababbaaaabbbbbbbbaaabaababaabbbbbbbaaaaaaabbbabaabbbababababbabbabbabaaabaabbabbbabbabaaaababbabbbbabbabbaaaabaababbbbbabbbaaaabbabaaabaaaaaababaababbbaabbbaababbbaababbbbbbabbaabbbbabbaaaaaabbaababbbabbbbbabbaabbabbaababababaaabaaabaaaaaabbbbbaabaaaabaabbabbbaaaabbbaaabaaaaaaabbbabbababbbbbaabbbbaaabbbbbbaababababaaababaaababbbaaabbaaabbbabaaaaabbabbaaabaaaababbaababbaaabaabaabababbaabbabababbaabbbbbaaaabaabaaaabbabbababbaaabbabbbbabbaaabababbbbbbbbabaababaaaaaabababaababaaabababbabababbbabaabbbababaabaabaaaaaabbbaabbbbbbbbababbbbabbabbbbaabbbbbbaabbbbaaababababbbbaabbaabbabbaaaabbbbbbbbaaababababbbbbabbbabaaaabbbaabbbbaabaabbabaaabbbbbbabbaaaabaaabbbbaaababbaabababbbabbaaabbabaabaababaaababaabbbaabaaabbbaabaabbaaababbaaaaabababbbbbaaabaaaaabbbaaaaababbaaaaaaaaabaaabaababaaaabbbbbbaababaabababaaaabaababbbbabaababbabaaabaaabaaaaaabaaabaabbababababaabaabbababbbbabaaaabaabbbbabbbbabababbabbababbbbbaabbabababaaabbaaabbababbababaaabbbbaaabababaaabababbbababbbaabbaabaaaababababaaaabbbabaaabbbbbbbbbabbaababaaabaabaaabbaaabbaababbabaaaaaaaaabbabbabaaabaabbabbabbaababbaaaababaabaaaaaababbbbbabbbbabbbbababaaabbabbbaabaabbbbbbbbbbbaababbbaabbaababaaabbabbaaaaaabaaabbbaaabaaabbaaababababbbabaabababaabababababaababaaabaaabaababbaabaabbaaabbbbbaababbababbbababbbbbbabababaaababbbbbbbaababbabbbaaaaaabbbbaabbbaabbbbababababaaabbabaabbaaaaabbabbbababababbabababababbaabaabbbaaabbaabaaabaabaabbbbbababbbababaabaaaabbababababbbbbbabbbabbbbbbaabbbbbabbbbababbbababbaaaaababbaaaabaabbaababbbaabaabaaaaabbbaaabbaababaabaababaabbbbbabbbbabbabbbaaabbabbababbbababaabbbbabbababbaabbbabbbabababbbbaaababaababbabbabababbabbaababbabbaabbaaaababbbabababbbbaabbabbaabbababbaabaababbaabaabbaabbaabbabbbaabbbababaaaabbabbabaaabbbbababaabababaaabbbababaabbababbaabbbaaaabaabbbabbbbaabbbbbbaabababbaabbababaabaababbababbaabaabbababbbbaabbabaaabaaaabababbabbabbbaaabaaaaabbbaabaaaababbaaaabababbaaabaaaabbbbaabaaababaaaabaaaaaaabababbbbbaabbbaababaaabaaaaaaababbabababaabaaaaaababaabaaaabbabbbaaaabbaabbbaabbbabaaaabaababbbbababaaaabbaabbaabaabaaaaabaaaabaabbbbaabaaaabbbbbbbbbbbbabbbbabbbbabbbabaabbabbabbbbbaaaababbaabababbaaaaabbabbababbabbabaaaabbbababbaaaabaabbbababbabbaabbaababbabbbbbaabbaaabaabaabbbaababaabbbbbaabaaababbbbababbbbbbbbaaabbbbaabbbbbbbbaaaababaabbbbbbabbabaabbaaaaaabbbaabbaabbbbaababaaabbabbabaabbabbabaaaabbaaabbbaabababbaabbaaabbbabaaaaabbbbbaaaaaaaaabaabaabaaabbbabaaabaababbbaaabbabaababbababaabbabbbbaaaabbaababbababbbbabbabbabbabaaaaababbaabbbbbbababbbbaaaaaabaaaaabbabaabbabababbbabbaabbbababaaaabababbabbabbbaabbababbaabbbabaababbbbabbaabbbbaaabaaabababbabbbabbaaabbbbbaaabbabbbaababbbbbaaabbbbbaabaaabbababbbaaaaaabbbbbbbaaaabaaabaababbabaaabbaaabbaababaababbaaaabbbbabaabbabbbbbaaaaabbababbabbababaabbbbbbaaabbbbbabbbbaabaaabbbbbbbbababbbabaaabaabbaaaaaabbababbaaababaaaabbbaabbabaaababbbbaaabaaabbaaaaaaaaaabaaabaabababbbbaabbbbabbaaaabbaaaabbabbabbababaabbbababbbaabbbaaaaaabbaaabbbababaabababaaabbbbaabbbabbbbabbaabbbbaabaababbaabbbbbbbabbabaabbbbbabbabbaababbbabaaaababbabbbaaabbbbabbaaaababababbbbbababbbaabaaabbbbaabbabaabaabbabbbabbaabbbabaabbaabaabbbabbbbbaabbaaabbbaababaaaabbbaabbbbabbbaaaabbaaabaabaaabababbbbbbbbaabbaababbbbabbbabaaabaaabbaabaaaabbabbbababaabbbbbbbbababaababaaaaaabababaaaababbbababbbbaaababbbbbbaababbaabbbaabbbbabaabaaababbaaababaabbbaababaababaaaaabbbaaaaabbaabbbbaabaaaaabbaaabbbbbbbabbbbabaaababaaabbbaababbbaaaabbbabbbabbbbababbabaaabbaaaaabaaaabaaabaababbaaabaaaaaabaaaaabbbaabaaabbaaabaababbbabbbaabbaaaabbbbabbbbbabbbaabbabababbbbaabababaaaaaaababbbaaabbabbbbaabbbbaabababbbbbbaaaaaabaaabaabbbaababaaaabababbbbabaababaaaaabaaaaabbaaaabbaaaaabbabbaaabbbbaaaabaabaaaaaaaaaaabaabbaaababbaabaaaababbaaaaabaaaaabbaababaabaaaaaaababbabbaabbabbbbbbbbaaabbbbababbbbaababaaaabbbbbbabbbababbbbabbabbaaabaaabbbaabbaabbabaabbbbbabbaabbbbbbbaaababbaababbaaaaabababbbbbabbabababbaabaabbababaaabbaaaaabbbbbabbbabaaaabaabbaabbabababbbbbbababbbaabbabababbbaabbbaaaababbbbbbabbabbbbabbaababaaabaababbaaabbbaabaaaabbabbaabbbaaabbbabbbababbbaabaaabaabaababbbbabbaabbababbaabaaaaaaaababaaababbabababaaaaaabbbbaaaabaaabbabaabbbababbbbbbbbbabaabbbbbababaaabaabbbbaabbbbaaaaaaabaaaaabbbabbbaaabbaabbbbbabaaaababaabbbabbaabbaabbabaababbbbaaaaaabbaababaaaaaababbbbbbbabbbaaabbabaaababbabaabbaababaaaaababbbbbbbbbaaaaaabbbbabbaabbabbabbaaabbaabbbbababbabaaaaabbabaabaabbbbbabbababbabaabaaabbaaabaaababaabaabbaabaaaaababbbbabaaaaababbbaaabbbbbbbaabbbabbbbbabaaaabbbabaabaaaaabaabbabbbbbbbaababaababbabbbabbabaaabababbabbaababaaaabbababbabaaabbbbaaabaababababbbbaabaababbaaaaabbbbaabbbabbaaabbabbaaabaababababbabbbaabbbbbbbabbaabaabbabbababaabbbaaaaaabababababaabaaaaaabaababaabbbbbaaabaababaabbabbababaaabbbabbbabbbababbabaaabaabbabaabaabbabbbaabbabababbaababaabaababbabbabaaaaaaaabbabaaaabaabaaabbabbaaabaaaaababbbaabbbbbaaaaabbbabbbababbabaabaaabbaaabbaaaaaaaabababababaaabaaabbabbbbbbbaaabaabbababaaabbababbaaaaaaaabaabbabbbaababbbaaabbbbbbbbaaaababaaaaababbbbbbaaababbabaabababababbaaabaaababbbabbbababaaaabaabaaaabababaabbbbaabbaabbbaaabaabaaababbbaaabaabaabbbabaaaaabbabbaaaabbbbbaabaaaaaabbabbbbbaaabaaaaabbaababbbaabbabaaaaaaabbbaabaaabbaababbbabaaaaaabaabaaaabbbabbaababbbbbaaaaaabababababababbababbabaaababbababaabaaaaabbaabaaabaaaababbabaaaabbaabbaabbbabbaabaaabbbbbbbbabbabababbbbaabbbabaabbaabbbbaabbbaaaababaabbbbaaabbabbabbbabaabbaabaaaaaabaabaabbaaabbbbbbbbabbbbaababbbabbbbaaaabbabbbbbaaabbaababbababbaababbaaaaaaaabbbbbabbaaabababbbaabababaaaabbbbaabaabababbaaaaaaaabaaababbbaababbbbaabaaababababbaaaabaaaaabbaababbbbbabbbaabbabaaaaabaaaaaaaaaaabababbbabaaabaabbbbabbbabbaaabaaababbbaaabaabaaabaaaaaabbbaabaabbbbbabbabaaaabbbbabbabbabbabbaabaaabbbaaababbabbaababbbbabbbaabaaaabbaaaaabbababbaabaaabaaaabbabbbabbbabbaabbbbbbaabbaabbabbbbbbbbaaaaaababbbaaabaabbbbbaaaaaaaabaabababaaabaabaabbbbbbbabbaabbaaabaabbaaaaaaabbaaabbaabaabaaabaaaababaabbabbbbabbbbbbbabababababbbbabbaaaaabbbaabaaaaabaabaaaabbbabbbaabbabaabababbbaaaaaaaaaaaaabbaaaababbbaabbabaabbabbbbaabbabbbbbabaaababbabbbabbbabaaabbaaabbabaaaaabbabaabbbbbbbabbbabbbaaaabbbabbaaaabbbbabbaaaaaaabaabaaaaaabbabbaaabbabbaabbbaaaabbaaababbbbaaabababbbaababaabbbabbbbaaaabbbbabaaaaababbabbbbaabababbabbbbabaaabaabbaabbaaaaaaaababbbbaabbbaaaabbbaaaaabbbbaabbaabaaaaabbbabbbbaabbabaabbbbaabbbbababaaababaaabababbabaaaaaaabbaabbbabaababbabbaaabbabaaaaabbbabbabaabbaaabbbbababbbbabbbaaabaabbabbabbabbbbbabbaababaababbbaabbbabbaaaaababaaaaabbabbbababaababababaabbbabbaabbaaababaaababbbababbbbbbabbbabbabbabbabaaaabbbabbbaabbaababbbbbabaababbbaababbabaabbaabaaabaabaaabaaabbbaababbabbbabaabbabaabababaaaaaaabbbaabaaababbbbbbbbababbbabaaabaabbababaaaabbbbabababbaaaaaaaaabbaaaabbbaaababbbabaabaabbabbbaaabbbbbaaaabaaabaaababbaaaaaabaabbbbaaaaaaabbbaabbbaaaabbbbbaabbbbbabbaabbbabaababaabbbbbbbaaaaabbbaaaaabbbbabbabbaabbababbbabababbbaaaabbaaabababbaabbabbbabbaabbababbabaaabbbbabbbbababababbaaaabaaaabaabbbbaaaababbbbabaaabbabbabbababbbbbaaabbababbaaabababaaaaabaabaababaabbaaaaabbabaabbaaabbbabbbbbbaababaabaababbabbaaabaabbaabaababbaaabbabbabbbabaabbaaabbbabaabbaaabbbbbabbabaabbbabbbaabbbbbababbbbaabbaabbbbabababbbbbabbababbbbbaaaababbbabbbaaabaabaabbbabaaaabaaabbbbbbbabaababababbaaababaaaabaabbaaabaaabaabaabbaaaababaabbababbaaabbbbaaababbbaaabbababbbbbbaaabbababbbabbbabaaaaaaabbbbaaabbbaababbbabbabababaabababbbabbaaaaabbbaababbbbabbbabaababbbbaabbaaabbaabbabbabbbbaabaabbabbaaababaababababaaaabbabbabababaaababbbabbbaabbbaaabaaaabaaabbabbbbaabbaabaaabaabbaaaabbabbbaabaabaaabbabababbbbbaaabbbbabaabbabbaabbbabaabaaabbaabbaaabbbabababbabbbbbaaababbaaababbabbbbabbbaabbaaabaaabbbbabbabbbbaaabbabbbaababaaabbaababbbaabaaaabababbaabbbbbbbbabbabbabbbbaaababbabbbbbbbababababbaaabbabbbabbabbbaabbaaabbabaaaaabbabbbbabaabbbaaababbababbbbababbbaabbbabaaaababbbbaababbbaaabbbaaabaabbababbaabbbabababaabbaaabbaaabaabaabaabaaabababbbabaabbbababbaabbabaaaaababbaabbbbabaaabbaaabbbabaaaaabbbbbbabbabbabababbabbbbbbbaabaababaaaaaaaaabaaaabaaaabbababaaabbbabbabbbbbabaaaabbabaabbbbaababbbbaabbaaaaaabbbaaabaabbbbabaabaaababaababbaabaaabbaaabaabaabaabaaaabbbbabbbbabababbaabbaaaaaaabbaaabbababbaabaaabbaabaaabaababbababbaababbbbaabbabaababaaaaaabaaaaaaaaaabbabaaabababbabbbaaabbbbbbbaaabbbabbaaabaaabaababbbaabbbaaabbaaaabbbaabbbbaaaabbbaaabaabbbbbabbbbabbabbbbababbbabbbbbababababaababbbbabaaaabbaaabbabababbbbaabaaabaabbbabbbbabbaabaaabbbbbbabaaaabbbaaabbbababaabbabaabbabaabaababaaaabbabaabbbaababbabaaaaabbbbabbabaaaaabaaabbbbbababababbbaaaaabababaabababbababaaaaaabaaaabbbaaababaaaaabbbbbbaabbaaaaabbaaaaaaabbaabbbbbabababbbabaababbbbbbbbaaaabaabbbbaababbbbabbbaababbbbbbbbbabaabaabaabaabaaaabaaaabbbaaaabbbaaababaabbabbbbbabaaabbbbbbbbaaaaabbbbbaaaabbbbabbbbabaabbabbabaaabaabbbbabaabaaaaaaabbbbaabaabbabbaabbbbbbabbaabababaabaaabababaaaababbbaaaaabaabbababbbaabbbaabbabbbbabbbbbbaaabababaabbabbaaabbbabbaaabbbbabbaaabaaaaabaaababaaaaabbbaababbaaaabbbbaaaabbbbbaaaaaaaabbaabbbabbabbbbaaaaaaaaabbabbbabaabbbbaabbaabbbbbabaaaabbbbbbaabaabbaaaaaabbabbbbbbbaaaabbbbababbbaaabbbaaaabbbaababaababaabbbababbbaabbabbbaaaaaabbaabbbaaaabbbabaabaaabbababbbbabbabababbbabaabaabbbbbbbabbaabbbaabbaaaabaabbbbabbababababbabbbbaaabbabbbbaababbbbbbaabbaababbbbabbabbbbbbabbbaaabbababaaaaaaabbbbbbaaabbbbaabaaabaabbbbabbabaaababbbbabababbbbbbaababaabbaabbbaaabbbbabbbbbbbabababaabaaabbbbabbabbabaaaaabababbababbbbaaaaaaabbababbbbbbbbbabaabbaaaabbaabbabaabababaababbabbaabaabbbbbaabbabaaabababbbbbababbabbabbaabaaaaaaaababbbabbbabbbbaabbabbbbbbaaabaabaabbabaaaaabbaabbabbbbaaabbabbbbaaabbbaaabbbbbbaaaabbbbbbabbaaaababbbbbbbabababbbabbabaabbababbbbabaaababbbabbbaabaabbabbbbabbabaabbaaaaabbbababababaaabbaabbabaabaabbbbbbbbbbabbaababaabaaababababbbabbbbaaabbbbbaabababbbababaabbbabaaabbabbabbbaabbbbabbaabbbbbabbbaaaaaabaaaaabaababbaaaaaabbbababababbabbabaaaaabbaabaabbbabbababaababababababbbbbbaabbbaabbbaaabbbbbabbbababbbaababbaaabbbbabbabaaabbaabaaabaabaaabbbbabaabaaaaabababbbbbabaaaabbabbaaabaaabbbbbaaaaababbabbabaabaabaaabaabbabaaaaabaabbbaabbbaaaabaabbaabaabbbaaaabaabaabaaababbbaaaababbaabbaaabaabbbaaabaabababbbbaabaaaabbbaaaababbabbbaaabbbbaaaaabbbaaaababbbbaabbaabbbbaabaaabbbaaaababbbbbaaabaaababbabbbbabaabaaabbbaabaababababbaabbbbbbabbabababaaaaaaaaabbaaababbaababbabbbabaaabbbabaaaabbbbbabbaaaaababbabaaabbbabbbabbbbbaaaaaaaabaabbbababbbbbbbbbaabbbaaababababbaaaabababbbabbaaabaabbabaaabaaaabbaabbabbbbabbaabaaabbabbbbabaabbabbabbababbbabbbaabaaaaabbbababbabaabbaaaaabbabbbbbbabaaababaabbaababaabbbaaabbaabaaaaaabbabbabbaababaaabbbbbbbbaaabbbaababbabbababbbbabaababbbbababbabaaabbaaabbabbabbaaabbababbbabaabbabababaaabbabaaaaaaaabbaaaabbaaaaaaaabbabbaaabbaaaaabaaaaabbaaabbabbaabbbabbaaaabbbabbbbbaaaaababbaabaabbaabbaabbaabaabababbabbaabbaaaaaabbbbaaaababbbbabbbaaababbbbbbaabbbbaaabaaaaabbbbaababbabaabbaabbbaaaaaabbbbaaabababbaabbbababbaabbabababbaaaaabbabbaaababbaaaabbbbbababbbaaabbbaabbbababbbbabbaaabbbabbbabaabaabaabaaabbaabbbaabbaabbaaaaaabaabbabaaaabaabbbbaababaabaaabbabbaabaababaaaaaaabbababaababbaababbbbbbaaaaaaaaababbbaaaabaabbabaaabbabbabaabaaabaaaaaabbbabababbaabbbbbbaabbbaabbabaaababbbabaababbaabbaabbaaaaaababababaabababbaabbaabbaaabbabbaabbbbaabbbabbbbbbabaabaababababaabaaabbaabbbabaaabaabaaabbaaababbbabbbbaabbababbaaaabbbbbbaabbbabbababbaaaabaaaaababaaaabaaabaaabaaaabbaabababbaabaaababbbbbbabbbaaaaaaaabbaaaaaaabbabbabbbbbabaabbbaaabbabaabaabbaaaabaaaaabbbbbaababbbaabaabaaabbaabaabbbbabbaaababbbabababbbbbaaabbaaaabbaababaabaaaaaaababbbbaaaaabbabaabaaaaaaabaababbabbaaabaababbabaabbbaaaaaaaabababaabaababbabaababababaaabaaababbaaaabaaaaabababbbabbbbbbbbbabaaaaababbabbabababbaabbababaabbabbabababaabababababbabbaabaaaaaabbabaaaaabaabbaaabbababbbbababbbbbaabaaaabababaababbababaababbbbabbaaaabbabababbbbabbaabaabbabbaaaabbbbabbbaaabbabbbaabbabbaabbabbbabbabbbbbbabaababbbababbabbbaaaabaaabbaabbbabbbbbbbaaaababbbaabbbabbbbaaabbabbbbabbbbbbaabaabbbbbaabbaabababaaabbbabababbabbbbabbbabbbaababaabbbaaabaabaaaaaaaabbbabaabbbabbaaabbbbabababbaaaabaaaaabbabbbabbaaababbbbbbaaabbbbbabaaabbbababbbbbbbababbbbbabbbaabbbabbabaaababbabbabababbbaabbbbbabbbbabbabbbabbaaaabbaabbaabaaaaaaaaaaaaababaabaaaaaabbbbbbaaaaaaaaaaaaaaabababbbaabbbbabaabbaaabbabbaababaaabbabbaaaabaabbaaaaabbababbbbbbababaaaaabaabbbabaabbabbaaaabaabbbaaabbbabaababaabaaabbababaababbabbbaaaabaaabbaabbbbbabbaaaababaabaaaabbbaaabbaabaaabbaaaabbabbbbababaabbbaaabbaabbaaaaaabbaababbabbbaaabababaababbbbbbabbaababbabbaababababbbbabbbbbbbaaabbbbaababbababbbbbbaababbaababbaababbbabbabaabbbbaaabaabaaabaaababbabbbaaaaabbababbabbbabbabbbaaabaaaabababbabababbabbbaaabaaaaaaabababaaabbbbababaabbbbbbbabaababbbbabababbbaaabbaaaaababbbbabbbabbbbaabbbbabbbababaaaaabbbbabbabbaabbbbabbaaaabbbabbbaabbabaaabbaabbaabbbaabbaaabbbaaaabaabbbaababbbbbbbabbbabbbababaababaabbbbbbbabaaaababbabbabbabbbaaaaaaaabbbaaaaabaababbbbaabaababbbbbaabbaababaaaaabbababaabaabbabbabbbbababbaaabbabbaabbaababaababbabbbaaaabbbabbabbbaaaaaabbabbabaababbbaaababbaaaabbbbaabaabbbabaaabbabaabbbabbbabaaaabbabbabbaaaaaaabbbbbbabbbbbbabaaaaabaaaabbabbbbbbababbbabaaaababbbabababaaaaababbbaaababaaabababbaabbbbabbabbbbbabbabbaabbaaabbaaaabbbababbabbbbbabaababbbabbbbaabababbbababbbbaaaabbabbababaaabbbbaaababbabbabbbbaababbbbabbaaabaabbbaabbbbbbbabbabbbabaabbbabbaabaaaabaabaaaabbababbbbbbababbabbbabbbbabbabaabbbbababababaaabaaabbbbbababbabaabaaaaaabbbabbabaaabbbbabaaaabbbaabbabaaabaaabababbbabbbabbbbbbababbaaaabbaabababbbbabbaabbabaaabababbbbbaaabbbbbbbabbaabbbbbaaaabbaabbabbabbaaaaabbaababbabbbbbbbaabbaababbbbbabbaabbaaabaabbbbbaababaabaaaababbabaaabaaabbbaaaabbbabbbabbbabababaaaabbbaababababbaaabbbbabbbaaaabaaabbababbbababababbbabbbaaaababaaababbbabaaaaaabaabbbabaaaabbabababababbaaaabbaabbabbabbbbaaaabbaaabaabbaabaabaabbaabbabbabbbbbaabbbaaaaaaaabaaabbbbbbaaaaaaaaabaaabbaaaabbbaabbabbababbaaaabbbbbbbbbbbabaaaaaabababaaaabababaabbbbaaaaaababbbbabaabbabbbababbbbbbbbbbabbaaaabbbbbabaabbbabbbbbbbbbaaaaaaaaaaaabaaabbaababbaabababbbaabbbabaabaaababbbabaaababaaaaaabbaabababbbabbbababaabbababbbababaaabaaaaabaababbbbaaaabaababbaaaabbbbbbaaababbabaabaabbabaaabbaaabaabbababbbabbaabababbabbaaabbbbbabaabbbaababbbaaaaaabaabaaabaaaaaaaaabbbbbbbbaaabbbaaaaaaaabbbbabbbbababbaabbbaababbaaaaaaababbaabbbbabbaaababbaaaabbbaabbbaaabaaabaabababbaabaaaaaaaabaaabbbababaabaaaaaabbbbbababbabbbbbaabbbbbbaaabaabbbaabbbaabaaaaabbababaabbbbbbabbbaaaaaabbbaaabbbabbaaabbaababababaabbabaabaaabababbbbaaabbbabbabbbabaababbaaababbbbaabababbbbaabbaabbbbabaabbbabbbbbaaaaabbbbbaaaaaabbbaabbabbaaaaabbaabababaaaabbbababbaaabababbabbbaababbabaaaababbaabaabbaabaaaababbaaaaababbbbbabbaabbaabbaaabbbabaabbabaaabbabaabbbbbbababbbabbbabbbabaaababababbbbaabbbaabbaaaabababbbabbbbbbbabaaaabbbaaababbbaaaabbbaaabbababbaabbaababaaabbbaabbaabbbaaaababaabbaabaabbbbaaaaabbabbaababbabbbabbbbabaaaaaaabaaabbbbbabaabbabababaabababbbaabababbbaaaabbbabbbbbbabbbabbaababaaaaaabaabbbaaaabbaaabbbbaaabbbabbabbaaaaaabababbabbabbbbaaababbabbabababbbbbbaabbbabbababbabbaaaaabaabaabbbbaaaabbbbbaaabbbbbaababbaabbbbaaaaababbbaababbababbabaaaabbbabaaabbbbbbbbabbbbbabababbaaaabaaaaabaabaaabbbabaaaaabbabbbbbbaaaabbabbaabbbbbaabbabbbbaaabbaabbabbaabaabaaabaaaaabbaaabbbaabaababaabaabbbabbaaabbbbaabaababaabbbababaaabababaaabbabaaabbabaaabababbbbaaaabaaababbaabbbbaaaaabaabaabababbaabbbabbbbabbabaabaababaaaaaabbbbabaabaababaaababbaaabaaaabababbbbbbbbbbababbabbbbabbbbbbbbaabaaaaababbabbaabbbbababbabbabaaabaabbabababaaaaabaabbbabbbabaabbabaaabbbbaabaabaabbbaaaabbabbaabaaaaaaaabaabbababaaababbabbabbbbaaabaaaaabaabaabaaaaabbbaaaaabaabbbbabbabaaaababaaabbbbaaaabaaabbbaaabbbaabbbababaabababbabbabaaabbabaaaaaabababaaaaabaabbbabaabbaabaaaabbaaabbbaaaaaabbaabbbaaabaaabbabbbabbabaabbabbabbaaaaabaababbaabbbbbbaaabaabbabbaaabbaaaaaababababbaabaaabababbbabbbbabaaabbaabbbbbaabbbbbbbbabbababababbbbbaaaaaabababbbbbbaabaaaabaaaaababbabbbbaaabaabbbbaabbabbaabababbbaabaaaabbabbbbbaaaaabababaaaaababaabaababaabbbababbaaabbbaabbaababababbbabaaaabaaaabbaabaabbbbaababaabaaabaaababbbbbaaaabaabbababbbabbaabbaababbaabbaabababbbababaabbaaabaabbaabbaaaabaaabaabbaababbabaaababaaabababaabaaaababbabaaaaaaababaaaabbbbaabbaabaabbabaabbbbbbababaabababbbabbbaabaabbbbbabaaaaabaaabbbaaabbbabaaababaabbababbbababbaaabbabbbbabbabbbaaabababababaaabbaabaababbaaababbbbaababaaababbabbbaababababababbbbaaaabbabbaabababaabaaaababbbabbabbbbbbbbbbbbabbbabbbbbabababbbaaabaabaaaaabbabbbaaaabbaaaabbaabaaaabaababbbbaabbbbabbabaaaaababbaabbbbbbaabbbbbaabbbbbbbabbababbabbaaaabaaaabababaabbaabbbbbbbaaabaaaaabaabbaaabaaababbbabbabaaaababbbbbaaabababaabbbbbabbbaaaabbbbbbbbbaababbaaabbaabaabaabaaabaaaaabaabbbabbbaabbbbbabaaabbaabbbbbabbbbaaabaaaaababaaaabbbabbbaaaabaaaabaabaaabaabbabaabaaaaababababaaaabbababbbbbbbbbbaaabbbaababbabababbbabaabaabbabbabbbabbababbbbabaaaaabbabbaaabbaabaabaabbbbabaabababbaabbbbbabbbabaababbbaaabaabaabbbbabbbbaaaabbabbbababbabbbbababababbababaabababaabbaaabbbaaaaabaaababbbbaaaaabbbaabbbbaaabbbbabbaaaaaabababaabaababbbbabbbbbaaabbaabbbababbbbaaaaaababbaaaaaaaaaaababaabbabbbababbbbabbbbaaaabbbababbbaabbbabbaabbabaaabbbbaaababbbbbbaaaabbbaaaabaaaaababbaaaaababbaabaaaabbabbabbbbbbbaaabbbaaaabbababbabaabbabbbaaaaabbbaabaaabbbbbbabaaababbbabababbbaabbbaabbbaabaaaabaababababaaaaabbaabbbbbbbaaaabbbbaaaabaabaaabbbbbaabbbaaabbbbaabbaabaaababaaabbbbaaaaaabbbbabbbbaaaaaabaabaaaabbbabaaabbbaaaababbaaababababbaaaababbbaaaaaaabbaabaabbabbaaabaabbababbabaababbbababbbaaabbbbabaaabaabbabababaaaaaaaabbaaaaabbbbbbababbbbabbbaaaababbabbbaababaaaabaaaaabbaaababbbbbabbabbabababaaaababbbababbbbaabbababaaabbbbaaaaaabaaabbaabbabbababbbabbbbbbaaaaabbbaaaaaabaaababaabbaabbabbabbaaaababbaaaabaabbbaaabaaaababaabbbaaaabbababbaaababbbbaabaabaabaabbaaaabaaaaaaababaaaabababaabaabbbabbaabbbbababbababaaabbbbbabbaaabbaaaababaabababbbbbbbabbbbbbbaabababbabbabaaababbbaababbaabbbbbababaaaabbbbaababbaabbaabaabbbaaaaaabaaabaaabaaaabaaaabaaababaabbaabbabaabaabbabaaaaabbbaabbaabbbaaaaabaaabaabbbbbabaaabbaaabbbbbaaabaaabababbaaaabbabbabbabaabbbababbabbaaabbbbaababbaaaabaabababaabbbaaabbabbbbbaabbaaabaaabbbabbaaabbaaaaaaaabbababaaabaaaababaabbabaabbbabaabbbbbaaaabbaaabbbaababbaaabaaabbaabbbaababbbabaaabaaabbbbbbabbbbaabbabbabbbabbaaabaaababaabaabaabbbbabbbabbbaabaabbbaababaaabbbaabaaaaabbaaabbaaabbbaaaaaaaaabaaaabbbaababbbbaaabaabbbbbaabbababbaaababaaaabaabbabbbbabaaabaaabbbabbaabbaabbabbbbabaabbaabababbbbaabaabbabbbbbbaabababbbaaaaaaabaaabbbbabbbabaaabbaabbabbbaabbabababbaabbabbaaabbaabbbabbaaaabbaaababbbaaababbbbbabbbbbaaaaabbababbabbaaababaaabbbbbbaaaaabaabbaaaabbabbbababbabababababbaabababbabaaabbbbaabbbababbbaaababaaaabaaaabbabbbbabbbbabbbabbbbbbbababbaaaabbabababbbabaaabbabaaaaaaabaabababbbaabababaaabbaababaabbbbabbabbbaabaabbaaaabbaabbbababbaaaaaabaabbbbbbabaaabaababaababbbbababbbbaaababbaaaaaabbbabbaaabaaabbabbbaababaaabbbaabaabbabbabbbbaababaababbaabbabaaabaabaaababbaababbaabbbbaababbbbbbabbbbbbbbbbabaaaabbbabaabbaabaaaabbbbaaabbabbaaaababaabaaabbbbaaabaabaabaaabbabbbabbabbaaabbbaaabbaababbbaaabbbaaabaaaabbbbbbaaaababaaababaabbbabbbbbbbaabbbaaabbabbaaabbaabaaaaabaaaabbaaaabababaabbbbbaabbbbaabbabbabbbabbaabbaaaababaabababbabbaaaabbbbaabaaaabaaabbbabbbabaabbaaaabbbabbbbaaaabbaaaaababaaabaaaaabbbbbabbabababaaaaabaaaabaaabbaaaaaabaababaaaaaaabbaaababbbbaababbabbabbbbaabbbaaababaabaaaaabbbaababababbbababbabbababbbaabbbaababbbbbbbabbaababbababbaababbaabbbabbaaabbabbaabababaababaabaababbababbbaaabbaabbbbbabbbbbbbaababaabbabbbbbbaabaababaaabbabbbbbbaaabbbabaabbabaaaaaaaaabbaaaaabbbbbaababbabaaaababbababbaaaabbaaaabbababbaababbbaabbaaaaaabbaaaabbaaabaaabaababaabbbbaaababbabbbababaabbbbbbaabbbbaaabbbabbaabaaaabbbbaabaabbbbaabaaaabbaabaabaaaabbaabbbbbbababbbbaabbaabbabbabaabbbbabaabbaabbabaaaaaabaaaababbbbbaabbbabaaaabaaabaabaaabbaaabaaaababbbabaabbbabbbbabaaaaaababbbbbbabaaabbaabaaabaaabbbaabbabaaaaabbaaaaaabbbaabbabaaaabbabaabbbbbbbabaabaabbbbbabababbbbabbbabbabaabaabaabbbbababaaaaaaaabbbbbbabbbaababaabaabbbbabababaaaabbbbabaabbabbaabbaababaaababbaaabbaaabbabbbbaabaaaaaaababbaaaabbbbaababbbbabababbaaababaabbabbaabbbbababbaabbaaabaaabbaababaaaabaabbbaaababbbbabbbabbabaababaaaabbaaabbabbbaaabbbabaaabbaabaabaaaaaabbbbaaaabaaabbaabaaaabbaabaaabaabbaabaabbaaaabbabaababaabbaabbaabbbbbbbbaabbbaabbaaabaabbbbbbabbbbababaaabbbaaabaabababbaaabaabbaaaaabaaabbabbaaabbaabbbbbbaabaabbaaaabaaaabbbabbaaabbabbabbbbabaaababbabbabbaababbababbbbabaabbbbabbbbbabbabbbaabbbabaabbabbbbbbbaaabbabaaabaaabbbaaabbbababbbbabbbbaabaabaabbaababaabababbaabbabaaaabaabbaababbbbababbababaaabbbbabaaaabbbabababbaaabbbbbaaaaababbbabbaababbaaaaaaaabbaaabbabbabbbbabbabbbbaababbaaaababbaabbababaabaabaaaaaaaaaaabbbbbabbbaaaabbaaaaabbbabbbaaabbbaaababbababababbbbbababbbaabababbabbabbbaabbbaaaabaabbababaaabbbbbaaaabbaaabbbbbaabbbbaaaaabababbbabaaababaabbbbabbbbbabaabaabaababbbbababbaaaabaabbabbbaaaabaabbabbbbbaaaabaaabaababbaaaabaabaabbbabaabbabaaabbbabaaaaabaaabaabaaaaaaaaababbabbaaabaabaabaabbbbbbaabaabbbabbbaabaaababbbaabababbababaaaabaaaabbabbbbbbbbbaaabbbaaaabaaaabaabbabaabbbbbaaaabbbaaaaababaababbbaaaababaaabaababbaaaaaaaababaababbaaaabaabbbaaaaaabaabbbbababbaabbaaaabbbaabababbaabbababbbababbbaabbaabbbaaaaaaaaabaaabbaabababaababbbaababbaaaabbabbabaaaaabaaababaaaabbbaabbbbabababbbabaabaababaabbabbbbbaabbbababbbbabbabaaabaababaababaababaabaaababbbbaabbbaaabaaaabbabaaaabbaabbbbbbbaabbababbabaaabababaaabbaaaaaababbaaabbbbbabbaaaaaababaaabbaaaaababbbabbabbbbaaaaabaaabbabbbbbbbabbbbaabaaaaaabbbababaaabbabbaababababbbbbabaababbabaabbababbabbabaababaabaaababbaabbaabbaaababbababababbaaaaaaaabbbaaabaaabbabaabbaabaabababbaaaabaabababbaaababbbaababbabaaaaabaabaaabaaabbabbaaaaabbabaaabaaaaabbabbaaabaababbbbaabbabbbbaabaaaabaaabbaaaaaaabbbaaaaababaaaabbababababaaabbaabaabbabbababaababbbaaaaaaababbbabaababbbbaaaabbbbababaabbabbbbaabaaabbaababaaaaabbbabbbbbbabaaabbababaabaababbaaabaaabbbaaaaabababbbbaaaaaaababababbaaaaabbabbbabbabbabaaabaaabaaaaaababababbabaaabbbaaaababaaaababbbbbbbabbababaabbbbaabbbbbabbbbaabbabaabbaabbbbaaaaaabababaaabbaaaabaaabbaabbbbabbbbbbababbbbbaaabbbaabbbabababaaaabbabbbaababbaabbbababaabaaabbbaaabbbbbabbaabbaaababaabbaaababaabbabbabbababaababbababaaaabaaaaabbbbabaaaaaaabaaabbbbaabbbbbbbaaaabbaaabaaabaabbbaabbbbbaaaabbaaabbababbabbbbbabbbbabababbaaaabbbaabababababbbaababbbaaaaaaaaaaaabaabbabbabbababbaaabaaaaaaaaabbbbbbbbbbbaabbbabbaababbbaabbaaabbbabbababaaababaaaabbbaaaababbabbbbabbbaaaabaabababbaababaabaabbbbbabbbabaaaabaaaaababaaabaabbbbbabbababbbababbbababbaabbbbbaaababbbbabababbbabbbaaabaababbbbaaaaabaaaaaabbabaaababbaaabbabbbabbbbabbabaabbbaaabbbbaaabbbbbbbaaabbaababbbaabbaababbabaabbbaababaabbaaabbaaabbbbaabbbabaabbaaabbaabbaabbaabbaabbabbbbbbabaabbbabaabaababbbbabaaaaaaabaabaaabbabbaaaaabbaabaabbabbaabaaababbaabababbabaababbbabbbbabaaabbbbaaaaabbaabbbaaaaabaabbabbababbbaaaaaaaabbbababaabbaababaababbababaaaabbabaaaababbababbbaababbaaabaaaabbabbbababababbabababaaabbabbbbbabbbababbaabbabaaaaaabbbaabbaaaaabbaabaabbbaababbabbaabaabbabbbbabaaabbbbabaabbbabaababbaaabbbaaababaaabaabbbababbabbbbbaaaabbaababaabbbbbabbaaabaaaaabaaabbbbbabbaabaaabbaabababbababbbaabbbbbaaabbbbabaabaaaaabbabaaabbabbbbaaaabbaaabaaaaabbababbaabbabbbaaabbabbaaaaabbababbaaabaaaababbbbbabababaabbabaabbabababaabbbaaaaabbababbbabbbbaabbabbbaabbabbaaababbabbbbbabbababbbbaabbbaaaaaabbaabaabaabbbbbbaabbaabaababaababaababaababababbabbbbababaabbaaaaaaaabbbabbabbaaaabbbbaaabaabaaaababbabaabaaaaaabbbbabaaabbbaaabbbbbbabbabaabbbbabaaaabbabaababaaaaabaabaabaabbabbbbaabbaabbabbbbbbabaabaaabbbaaabaabbaabaabbaabaaababbbabaabbbbabaabbbabaabbbbbaaabaabbbabbababaaabababaabbbbbbabaabbaaabbaaabbababbbabbababaabaaabbaaaabbabbbaaaabbbbbbbaaaaabbaaaaabbbbaabababbaaaaabaaababaaaabaababbbbaabbbbbbaabababbbbbababaaaaaabbaabbaabbabaaaaabaaaabaaabaaabababbbbaaabbabbbbbabaabaabbaabaaaabababbbabbabbaaaabaaababbaabbbaaaababbbbabbabbbabbabaaabbbbaaababaaaaaabbabbbbbabbaabaabbaaabaabbaaabaaaababbbbbabbabaaababbbabaaabbaababbaaabbbbaabaababbbbbaaaabbababbbababbabaabaaaababbbbaaabaabbababbbaababbbbbbbbabbbbbbaabbaaabaababbaabbbbbaabbaaabaaaababbabaabbaabbbaabaaabbbaaaaabbaabaabbbbbabaabbabbabaaabaababaaabbaaaababbbabbaaaaabaabbaabbbbabaaabaaaaaaaabaaabaaababbaaabaaaaaabbabababaaabaabbbbbababaaaaaaababbbbbbbbbbabaabaaaabababbaaaabbaaaaabbabaabbbbbababaaabaaaabbbabaaaaaabbbbbababaabbbbabaaabbabaabbbabababaaaabaaabbaaaabbbbabbbbbabbabbaaaaaaabaabbbaaabbaabaaaabbbbbabbaaaabaaaaabbbabbbbaaabbabbbabababababaababbbbabbaabaaababbabbbaababbbabaaaabbbaaabbaabbaabbbbbbbabaabbbbbbbabababbbabbbabbaaababbabbabbbaaaaabababbabbbbaabaaabbabbabaaaaabbbbababaaababbbbababaaaaaabaababbabbabaabbbaababbbbbabaaabbbabababbbabbbabbbabbbbaabbbaaaabbbbbbabbbababaaabbbbbaaabababbaaaabbaabbaaabababababababaaabbbabaaaaaababbabababababababbbbbaaabbababbbbabbaabbaaabbbaababaabbbaababbbaabaaaabbaaaaabababbbbbbababbbaaaaaaabbaaabbaaaaaabaabaababbbbaaaaabbbabbaaabbaabbbaaaaaababababbaabbababbbbbbabbabbaaaaabbbababaaabbbabaaabaaaaaabaaabbbbaabaabaabbaabaababaabbabaabbbabbabbbbbabbaaabaaabbbaaabbababaaaaaaaaabbaabbabababbabbabbabbabaaaaabababbaaaabbbbaabbaaaabbaabbbbababbbabbbaaabaaabaaaabaaabbabaabbabaabbbababaaabaabaaabaabbbbbaaaaaaabbbabbabbaabababbaabbaabbabaaaaaabbabababbbbaaaabababbbbabababbaabaaaaaaaabaaabbbbbaabbaaaaababaaaababaabababababbabbabbbaababaaabbabbaabbbbaaaaabbbabbabbaabaabbaababaaabbbbbaaaabababbaabaaabaaaaabbbabbbabababaaaababbbbababbbaabbaababababbabbababbbaaaababbaaabbabababbaabbaaabababaabbbbbaaaabbaaabbbaaaaaaabbabbaaabbaabaaaabbbbbbaaabaababbabbbaaaaaaaababbaaabbbbaababaabaababbababbabbaaabbabbbbaaaaaaabbbabbaabbbabaabbbaaabbaaababbabaaaaabababbbbabbbbbbaaababababaaaaabbabababbbbabaabbbbbababbbbabbabbbbbabbbbbbaaaaabaaabbbababbbaaabbaabaabbabbbbbabbbbbaaababaaaabbbbabababaabbbbbbaaabbbabbababbaaabbbbbbabbabaabaaaabbbaaaaabbaaaababbbaaabaabbabbaabababaaabbbabbbbaabababbaaabababaabbaabbaaaababaabbbbaaababababbbaabbbaabaaaaaaabaabaaababbabaaaaabbbaaaabababbabbbbaaaaabbbbbbbbbaabaaabaaaabaaabaaaaaababbbaaababbbbbbbaababbaabbbabaabaaabbbabbbbabbabbbababbabbbbababbbaabbabaababaabbaababaabbbababbaabbbbabaaababbabbaabbbbababbbaabbaabbaabbaaaabaaaaaabaabaaaabbbbabbbabbbbbababbaaabaaabaaaaaaaaaabbbbbaaaaaaaabbbbbbbaaababbabbaabbaaaaabbbbaaaaaabbaabbaaababbbabbbbabbabababaaabbabbbbabaabbbbbbbaabbaababbaabaababbbabaababbabbaaabbbabbbaaabbaabbababbbababbaabaababababbbabaababbabbbabaaaaabaaababaabaabbaaaabbbbaaaabbbaababababbbbababaabaaaaaabaabbbbabbabbababbaaababbbbaabababbbbbabbbabbbaaaababbababaaaabbabbbabaaababaabbbabababaaabaabbaaaababaaababaabbabaabaaabaaaabaaaababaaabaaabbabbbbbbbaabbabbbbbaaabbbbbabbbbbaabbbababbbaaaababbabaaabbbaaababaabbbabbaaaabbbbaaabbaaaababbbabbaaababbbababaabbbbbaabbbaabbababbbbaabbabbbbabbababaabbbaabbbababababbabababaabaabaaaabababbabaaabaabbbbabbbabbbaaabbabababbbbabbbabaaabbaabababaabbabbaabaaaaaaaaaaabbbbbaabbbabaaabababaaaaaaaaaaabababaababaaaaabbbababbaabababbabbbaabaabbabbaaababaabbbbbbaabababbbabbababaabaaaaabbaabbabbaabbbababbbbabbbbaaabaaabaaaabaabbabbaaaababaabbbbaabaaaababbaaaaaababbaabbaababbbbaabaaababaababaababaabababbabbaabbbaababaabbaaaaaaababbabbbbbbabbaaaaabbabbbabaabbbbabaaaababaabaabbbbaaababbbababbbbababbbaabbaabbabbbabaaaababaaabaabbbbaabababbbbbabbaabbbabbbbabbbbbaabbaaaabbabaabbabaaaaaabaaababaaaaaabbbbababbbbaabbababbaabaabbbabaabbabbbabbabbbbbaabbaabaababbbbbabaaaaabbababbaaabbbaaababbaaabaaaaabbbbabaaabaaabbababbbbaababbbbbbaaaaaabbbbbbbbbaababaabaaababbbbbabbbaabbbbbababaaabbabbabaaababbabaabaaaaaabbbaabbbababbbbaaabbbabaabaaaabbaaabaaaabaaabbaabaabbbbbbaaaabaaaabbaaaababbabbabababbabbababbaaaaabaaaabbbbabbbbabbbaabbbbbbabaababbabbbbaababababaaababaaaaabaaaabaaababbaabbbabbabbabababbaaabababbaaaabababbbabbbbaabbbabaabaabbabbabaababaaababababaabbabbbbbaaaabbabababbabbbaabaababbaaaabbbbaabbaaaaabaaaaaaabaabbbbabbaaaababbaaabbabbbaabbaaaabbbbbabbabaabbababbbbbbbaababbbabaaabbabaabbbbbbababaabaabbbaaabbbbbababbaabaaaaabbabbbababababaaaaabbbbbaabbabababbaabbaaaaababaaabbbbaaaaabbbaaaabbbabbaaaabaaabaaaaabbabbaabbbbaabbbbabbabaabbbbaabbabbabaabbbaaabbabababbaabaaaaaaababbabbbaabaabbbbbbababbbaaaabbababbabbababbbaababbbaaabbabbbbbbaaabaababababbabbabbbbbaabaaaaababbbabbbabbbaabbaaabbaaaabbbbbaabbbbbaabaababbabbbbabbabbabbabbababaabbaabaabaaabaaabbabbbaaaabbabaabbaababaaabbbbabbbababaabaaabbababbabbaabababbbbbbbbaabbbabbabbbabbaabbaaabbbabaababaabbaaabaaaaabbbbbbbbbabaababaaaaaaaabababbaaabaabbabaabbbaaaaabbabbbaababbaabbbaabbbabbabaaaababbaaababaababaaaaababaaaaababbbaaabbbaabbbbbbabaabaabbaabbbbbabbbbbbbaaabababbaaaabaababbaaababbbabbaabbbbababbabaaabbbabaabaaabbabbaaaaabaabbbaaabaabaaaaaabbaabaaabaaabbbabaabbabbbaabaaaaabbabababbbabbbbbabbaabbbabbbaaabaabbaabaababbababbaaabbbbabbabaabababbbbbbabaaaabbaabbabbbaabaaaaaabbaaaabaabaabaabaaabbaaaaabbaaaaabaaaaabbabbaabbabbbaaababbaaaaaaaaaaaaaabbababbbbabbaaaababaaaaabaaaabbbbabbaaaaabaaaaaababbababbbbaabbbbbbbaaabababbabbbaaababababababbbabbbabaabbbbbbabbabbbaaababaabbbabbabaabbabaabbabababbbaabababbaababbbaabababaaaabaaababbbbaabbbabbaabababbbaaabababaababbbabaaaaaaabbaabbabababbabbbababbbaabbbbbbaabbbabbbaaaabbbbbaabbbbababbbbbaababbaabaababbababababbaaaabaaabaabbbabaabbababababbbabbbaabaabbababbbbabbaabaababbbabaabaabbabaaaaababbabbbabbabaaababbbaaababbbbbabbbabababbbbbbbbaaaaaabbbbabaaababbabaabaabbbbaaabaaabaabababaaabbaaabaabbbabbbbabaababaabbaaabaabbaaaabbaaaabbbaaaaababbaababbabbaaaabbbbababbbbaaabbbbabababbabababbabbbbbbabbabbbbbbbbbaaaaaabbbbbbababbabbabbabaabbabbababbababaabaaababaabaababbbaababababbbbbbbabbbbaaaaaabbaabbabbaabbabaababbabaaaaaabbbbababababbbbbaabbbababbbabaaababbabaabaabaabaaababbbaabaaaaaaaaababababbababbababbabaabaabbabaaaabbaaabbbbabbbaabaabbbaaabababaabaabaabbbaaabaaabbbaabbbabbababbabaaaabaabababbbbabbababbbbbbbbbbabbaabaabbaaababbbaaabaaaaabaaaabbaaabbabbababbabaababbbaabaaababaabbaaaabbabaabaaabbbaababbabaababbababbababababbababaaabbbabaabaaaabaaabbbabbbbaabaabaaaaaababaaaababbababaabbaaabbababbabbbaaabbbbaaaabbbbabbabbabbabbabaaaabbbbbbaaaaabbababbbabbaabbbaababababbbabaaabaababbbbaaabaabbbbbabaaababbabbabbbbaaabbababbbbbabbbabaaaababaaabaabaaabbbbbbbbbaaababbbbbaaababbaaaabababbbbbbabaababaabaabababbbabbabbaabbaabbbaaabbababaabbabaaabbabbbbbbabaaaaabbaaaabaabbbbbbababaababbaaabbaaaabbaababbbabababbbbbbbbaaabaabbbbaaaaabbbababbbbbbaaaaababbabababbaabaabababbbaaaaabaababbaabbaababbbbbbbaaaabbbaabbbaabaaaabbaababaaaaaababaabaabbbaaabbaabbbbababbababbbabbbabbaabaaababababbbbaaabbaababbbaabbaaabbabaabaabbaabaabbababbbababaababaaaababbbabbabbbbabababbbbbbbabbbbaaabbaaaaababbbbabbbabbabaabaaabbaaababbbaaaaababbabaabbaaabaaaaabaabaaabbbbaaabbabbbababababbaaaaabbbabbbbbbbbabbbabaabaababaababbababbbabbabbaaaabaabbbabbbabbbbbaaabbaaaabaaabaabababbbababbbaaaabbabbbaabaaabaaaaabbbaaaababaaabaaabaabbbaaaaaabbbbabbabbbbababaabbabbaabaabaababababaaababbabbabaabaababbbaababaabbaaabaaaabbbbbabaaabbbbababbbbabababbababaabbaabbaaabaabbbaabbaaaaaabbbbaabbbaaabaaabbaaaaaabaabababbaabaababbbabbbbabbaabbaaaaaabbaaaaaaabbaabbbaabaabbaabaaabbabaabbbbabaabbabbbbababbbababaababbaaaaabbbaaabaaaabaababbbbabaabbaabbabaabbbabbabbaaaaaababaabbaaaaaabbbbabbababbbabbabbabbbbbbbbbbaabbabbbaabbbbbbbbbabaaabababaaaaabbbaaaabbbabbbbabbabbbbabaababaaabbabbbbbbaaaaaaabaaabaaababaabaaabbbabaabaaaaababaaabbabbabbaabbbabbbaababbbbbbabbbaaaaaabbaabaaaaababbabbbbaababbbbabbbaabaaababbbbaabbaaaabbbbaabbbaabababababbaaaaabbbbaabbababbaaabbbabbbbabbbbbaabbaaaabbbabbabbaabbbabababbbbaaaabaaaabbaabababaababbabbaaaabbbaaaaababbbbaaaabababbbaaaaaaabbabbaaabbbabbabbabbaabbbbaabbbbabbbabbaaaabababbabaabaabaabaaababbaabbbabbaabaaaaababaabaabbaaabaaaaaaabbabbabaaabbbaababaabbabaaabaaabbbabbbaabbaaaababbbaabbaabbbaababbabaabbbabaaabaabaaabaababbaababbabbbababbabbaabbbaaaaabaaababaababaaabbbabbbbabaabbabaabbaabbaaaaaaabbabbbbababbabbaaaababbaaabbbbaabbabbaabaabaaaaababbbabbabbaaaaaaaabbaaaabbbaabaabaabbabbbaabbababaaabbaaaababbbaabbbbaabaabbbaabaaabbaaabbbbbaaababbbaaaaabbbbbabbbbbbabbababababababbaabaabbaabbababbaaabbbbbaabaaabababbabbbbbbbaabbbbabaaababbaabbbbabbbaabbbbaaaabbaabbaaaaabaabaaaaaaaabbbbbaaabbaabbaabaababaabbabaabbabbbababaaaaabbabaabaaaabbbabbabbbaabbbabbbababbabbabbbaabbbabaababaaaabbabaabbbabaabbaaabbbbbaabaabbababbbbbabaabbaaabaaabbbbaabbbbbbaabbaabbbbababaaabaabbbababbaabaaaababbbabababaaaabbabbaabaaaabbbaabbabbaabaaaabababbbbbbbbaaabbbabbaaabaaababbaabbaaaabaaaaaaababaabaabbabaabbbaaaaabbabababbbbabaabababbbbbbbabaaabaaabbbbaaabbbbabaababbbaaabaababababbbabbaaaabbbbaaaabbbbbbbbbabbbabbbbaabbbbaabaabbbbbabbbbaababbbabbabababbaaababbbbbaabbabaababbaaabbbbbbbbabaabaaaaabbbaabbaababbbbbbaabaabaaabbabbaaaaababbbaabaabbaaababbbabbbaaaabbbbbbaaaababbaaabaabaaaaaaabaabbaabbbaabbbaababbabaaabaabbabababbaabbbabbbaabbaaabbbababbaaaabbbabbbbbaaabaababbbabbaabbabbbabababbabaaaaaaabbabbbabaabbabbbaaaaabbbabbaaabbababbaabbaaaabaabaabbaaabaabbbaabaabaaabaababbbaabaabbbaaababbbbaaabaaaabbababbabaaaaabbbbbbaababbbababbbaaabaabbabbbbababaababbbbaaaaaaabaaababababaabaababaaabaabbabbbaaaabaaaabbbaaaaaabbaabbbbabbbabaaabbbaabbaababbbbbbabbbbababbbabababbbbbaaabababaababaaaabaaabbbaaabbabaaabaabbabbaaabbaabaabbbaabbabbabbababbabaabbaaaaababbababababababaababaaabaababbaabbbaabaabbaabaabaabaaaabbbbbabbbababbbbbaabaabaaabbbaaabaabbaababaaabbabaaaaabababaababbaabbaaabaabbabaababaaaaaababbabbaaaabbabaaababaaaabbbaaabbababaaaaabbbbababbaaabaababbbaabbbabbbbabaaabaaabbabaababbbaaabbabbababbbbbbbbabbbbababbbabbbaaaaababaabaaabbbaabbabbbbaaabbababaabbbbaaaaaaaabbbabbababbaaaaaaabbbbbbbaaababbaaababababaabaabaababbbabbaabaaabaababbbbabaabaaaabaabaabbbbabbabaaaaabaaabbbbaababbbabbbbbbababbabaaabbaaabbabaaabbabaaaaaabaabbaaaabaabbbbbbaabbabaaabaaaaabaabbaabaabbababababbbabbbabbbbbbaaaaabbabbbbabbaabaaabbbbaaabbbabbbbbbbaaabaababaaaaabbaaaabbbaaaaaabbababababbbababbbabaaabbbaabbbaaababbbbbaabaabbbabbbbabaabbabaabbbabbabbababaabbaabababaabbaaaaabbbbabbabbbbaabaababaabbbaabaaaabaabbbababaaaaaaaababbababbbbbbabababbababbbababaabababaaababbaaabababbabbabbbbbbaaabbaaaaaaaababaaaabaabaaaabbaaaaaabbaaaabbbabababaaaabbaabbaabaabbbbaaaaaaaabbbabababaaaaabaaababbbbaaabbaaaabbabbaababbbaaaaaabaabbbbabbbaaaabbbabaabbababaaabaabbbaababbabbababbbababbaaabbabbbaaabbabbaabbbabaabbbbbababaaaaabbbabbbbbaaabbbbbabaabbbbbbbbbabbbabbababbbbaaaaaabbababbabababbbbabbabaaaababbabaababbbabbbabbbbbbabbbabbaabababababbabbaababaaaababbbbabbaaaabaaaabababaabaababaaaaabbaababababbbaabbbaababaabababbbaaaabbbabababbbababaaababaaabbaabbabbbbababababbbbaaababbbaaaaaaaaabaabbababbbabbabbbaabbbaabbabaababbbbbbbbbaabaababbbabbaabaabaabbabaabbbbababbabbbbbbabaaaaabaaaabaaaabababbbaabaaabbabbaaaaaaaaaaabbabaaabbaabbababbbaabaabbbbbbabbbaaabbbabbbaabbbabababaaababbabababbabababababbababbbabbbabbabaabbabbaabbbaaaaabbabaababaaababaaaaaababababbbabaaaaaaabbabaabaaabbbbbbaaaabbaaabbaaaabababababbbaababbaabbbbbaabaaababababaabababababaabbabbaaabbbaabbabbbabbabbaaaaababaaabababbabbbbaababababaaaaaabaaabaaaaaabbaaaaabaaaababaaababaabbbbbabaabbbbabbaabbabaaabbabbabbbbbaaabbbaabbababbabbababbaaaaabaaaabaabaaabbbaabaababaaabababbaaaabaababaabbaaabaaabababaaaabbbababbabaabaabababaabaabbabaabaabbaabbbbabaaabababaaaabbaabaabbaababaabbabbabaabbabbaabbaabbaabaaabbaaabababbbbaabaababbbaaaabababbabababbbaaabababbaababaabbaaabbbbabbaaabaaaabbaaaaaabbababaabbaabababbabbabaababaabbabbaababaaaabbaababbbabbbbababaabaabaaabbbabbbbbaaabbabbbbabaabbbbababaabbbabbbbaaaabbabbbababbbbabbbbbbbababaaaaabbaaabbababbbabbbbbbbabaababababbabbbbbbababbabbbbaabaaabbbbaabbaaabbaaababbbbabbabaaaabababbbbaabbaabbabbabbbbbabbbbabbaaaabbabbbbaaaaaaaaaaaabaaaabaaaabaaababbaabaabaaaaabbbbabaabbababaabbbbbaabaababaabaababbbbaaababaabbbbabbaaababaabaabbaabbabaabaaaaabbaabbbabbabbaaabbababbaaaaabbabbbabaaaababaaaaaaaabbbaaaabbaaaaaaaabbbbababbaaaaaabaababbaabbbbbbaaabbaabbaaaabbababbbaabaababbaabaababbbbaabbbaaabbababaabbaabbbaaababbbbbaaaaabbbbbbbbbabbabbabbbaaababbbabbabaaabbbaababbabaabababbaabaaaabbbbaabbabaababaaaabaabaabaababbbbbabaabbaaaaaababaaaabbbbbbabbbbbaababbaabababaaabaabbaaabababbbbababaabaabaaabbaababaabbaaababbabaaaabaabbaaaabbbabbbababaabaaabaabbbaaaaabbbaabaaabbabaaaaabbbaaaaabbabbbaababaaabbbbbbaaaaaaabbbbabbbabbabaababbbaabbbaabbababbabaabbbbaaaababbaabaaaaabbbbbaababaabaabababbaaaaaabbbaaaaabaaaabbabbbaaaaaaaababaaababbbabbaabbbbbbaababaabbbababbbbaaabbaababbbabaaaabbbabbbaabbbbbbbbbbabbbabbababaaaabbaaaabaabbbbaabbbbaabaabaabababbaaababaaabbaaabbbbbbaabbbaaabababbabababbbaaaabbaaabaaaabaabbaaaabbabbabaabbaaaaaaabaababbaaaaabaabaabbabaaababbbbabaabaaabbbaaaabaabbbbabababaaaaababaaabbabbbaaaabbaababbabbaabaaabaabbaaababbaabbabbaaabaaaaabbaabbbaaabbababbbbaaabbaaaabaaabbbbaabbbabbabbbababaaaaaaaabbaabbabaaaabaaababbbabbbaabbabbbbaabaaabababbaaaaaaaabababbababbbbbbabababbbbabaaababaaaabbbabaaaaaabbabaabbaaabbaaaababbabbbabaabbbababbaaabbababbababbbbbaaabbbbbaabbaaaabbabbbbbaabbbaaaaaaabaaaababbbababbbaaabbabaaabbbbaaabaaabaaaababaababbbaabbbbbabbbbabbbabbabaabbbabbbbbbabbbbbaaabbabbbaabbbabbabaaabaaabbaabbbbaaaabaaaaabaaabbaabababaaaabbabababbbbbbbabaaabbbaabaaaabbaaaabbababaaaaaabbbbbbabbbabbaaabbababbbbababaaaababbababbbbbabbbbbaabbbbaabbbbbaabaabbbaaaabbbbabbabbbbbbbbbbbabbaabbbabaabbabbbbabaabbbbbabbbbbaabbababbabbbbbbbabaabaabbaabaaaaaaaabbbaaaababaaaabbababbbbaaaaaabaaababaaaabaabaabbbabbbaaabbaabbaababbaaaaabaabbaaaaaaabbbabaabbabaabbbbbababaaaaabaabababaabbabbaabababbbaabbbbbaaaaabaaababbbbabbaabbaabababaaaaaababaaabbaabababaaabbaaabbbbabaaaaaabaabaaaabaabbababbbabbabaabbbaaabbabbbbaabaabbaaabbbaaabaaababaaabbabbbabbabbabaaaabaabbaababaabbabbbbbbbbababbbabaababababbbbbbaaaabbbbabbbaababbaaababaaaaaaaaababbaaaaabababbbabbaaaabbaaaabbbbbbbabbbbbaaabaaabbbaabbaaaaababbbbababbaaabaabbaabbaababbabaaaabbbbbbaabbababbbbbbabaaaaaaabaaabbbaababbbabaababbaabbababbbbbabaaaaaaaaabbbbbbaaaabaabbaabaabaabbbaabbaaaababaababbbbbaababbabbaaaaabaababaababbabbbaabbbabbbababbabbaabbabbbbbabaaaababbbbbabaaabbbaaaaaaabbaaabaaaaababbbbaaababbabbbbbabbaabaaaaaaabbababbabaabaaabaababbbababaabaabbababbbbaababaababbbaaaabbbabbabababaaaabbabbabaabbbbbaaaabbaaabaabbbaabaabbbabbabababaabaaabbaaaaaaabaabbabbaabaabababbaaabbbbbbabababababbabbbbbbabbababbaaaaabbbabbababbaabaabababbbaaabaaabaaababaababbbabbaababbabbaabaaabbaabababaabbababbabbabaabaababbbbbbbbaababbbbabbabbbaabaabbbabbbbbabaaabbaaaaabbbbbaaabaaababaababbabbbaabbbaabbbbbbbbabababababbbabbbaabaaaaaaabbbabbaabababbbaababaabbbbbbbbabbaabaaabbabaaabbbaaaaaaaabbbbababbbbbabaaaaaabbbabaababbababababaabbbabbbabaaabaaabababbbbabbabbbbabababbaaaabbaabbaaabbbabbabbbabaaabbbabbabbaaababbbbbaabaabbbbaaaaabbabbbbbbaabaaaaabbbabbbbbaabbabaaabbaababbbbbbbaaabbabbbaabbabaaababbbbbbabbabbbbaaabaabbabaaaaabbbbbbababababababaababaababbbabaabababbabbbbbaabbabbbabbbbabaababbbbaabbaabbaaabaabbabbbaaaaaaaabaabababaaaabbaaababbaabbaaaabbaaabbbbababbaaaabbbaabaabaaababbaabbabbbbbbabbabbaabbbaaaaaaaabaaaabbabaaabaaaabbbbaabaaaaabbbaabbabaababaabbabaabbbbbbbbaaaaabaabbbababaaabbabababbbbaaaabbabbababaabbbbbbbbabbbabaaabbabaaaabbabbbabababaabbbbabbbbbaabbabaaaaabaaabbaababbbbbabbbbbbbbbbbababaaababbbabbaaaabaaabaabbbabbbabaaabbbabbabbbabbbbbbaaabbabbaaaaabaababbbbaaaabaabaabaabaabbabbbaaabbbabaabaabbabaaaabaaabbabbbbaabbbbbaababaabbabbbabbbbaabaaabaaabaabbaaaaaabbaabbaabaaaaaaaabbbbbbabaaabbbabbaaaaabbbbbbbbabbabababbbabbabbaaaaaaabaabbaabbbabbaabbbbbbbaabbbaabbabbabbbabbbbababbaabaaaabaaaaaaabababababaaaabaabbbbbaaabbabbbbbabbabbbbaaabaaabbaababbababaaabbbbbbbbbbbbbaabbbbabaaabbaababbaabaaaabbaabaaaaababbbabaabaaabaaababbbaabbbaababbbbbaababbaaaaaaabaaabaaabbbbaaabaabbbbaaaabaabbbbbbbabbabbbbbbaabaabbbaabaabbaaabbbbaabbbabaaaabbbababaaabbababbaaabaaaabbbbaaaababbbbbabaabaaaabbababaabaaaababbbabbaabbaabbbbbbbbabaaaabbaaabbbbaaabbbbbaaaabbaabbabbbbbaaabaaaabbaababbaaaabbaaaabababbbababbbababaababbbbbbbaabbaaababbabaabaabbbaababbbbbaaabaababbaabbbaaaababaaaabaaabbbabbaabaabaabaaaaabaabbababbabaaabbaaabaabbbbbababbbbbaabaaabababbababababbaaabaabbaabbbababbbabaaababaaaaaabaaabaabaabaababbbbaaabaaabbaabbabaaaaababbabaaabbabaababbaabbabbbabbabbbabbbaaabbabaabaaababbaababbabababbbbbbbaaabbabbbabaaaaaaaababaaababbbabbaabababbbbaaaabababaabbbbbbbbbaabbbbaaabbbabaaababbabbaabaaabbbaaaaabbbbabbbabbbabaabbbbbbabbaaaabbbbbbbaaabbaaabbbbaaaaabbaaaaabaabbaaababbababbaaaaaaabbbbbaaabbbbbaaaabaabaabbaababaaabababaaabbbbaabbbababaabbaabaaabaabbaababaababbbaaaabaaaababababaabbbbabbbbabbaaaabbbbabaaaababbbaabaabaababaaaaabbbaababaabbbabababbbbbabbabbababbaabbbbbaababbaabbbaaabaaaaaabbababbabbabaabaabbbabbaabbabbabaabbbaabaabaaababbaabbbaaababbaabbbaaaaabaababbaaabaaabbaaaaababaaaabbaabbaaaabababaaaaabaababaaaaabbbbabaaabaaabbbabbabbaaababbbbabbbaaaaaaababbabababaabbbababbbbabbaabbbabbbabbabbaabbbbababbaababaabbbaaaabbbabaaabbbaababaaaaaabbbaababaaabaaababbbbbbbaaaabbbaaabbabaaabaababababbababaaabaabbbbbaaabbabaaaabaaababbabaaaabbaabbbaabbaabaabaaaabbabbaabaabbbababbababababbbbaabaababababbbabaaabaaabbaaabbbabbbbabbbaabaaaabbaabbabbbabbaabbbbaabaaabbabbabbbaabababaaaaabbbaaaababbaabaabbaaababbabbbaabbaabbbaaabababaabaaaaabbbabaabbbabaabaaaabaaabbaabbbabbbaaaabaabaaaabbbaabaaabbababbbaabbabaaabbabbbbababaabbaaaaaaaabaabaabaaaabbbabaabaaaaaaababababaabbbaabaaabaabaaabbaabbbaababbbbbaabaaaababbaaabbbabaababaaaababaaabbaaababbbbabaaaabbabaaabbbaaabbbabbaababaabbaaababababbaabbbaabbbabbabbabbabbbababaaababbaaababaabbaababbbbbabaabbaaaababbbaabbbaaababbbbbaaaaaabaabaabababaabaaaaaaabbabbababbbbbbbbbabbbbabbbbaabababbbaaabaabaaaaababbbbaababbaaaabbabaaaabbaabbbbbbaaabbbabbaaaababbabbbababbabaabbabbbaabbbabbabbabbabbbbaaaabaaaabababaabbaabbbbbbbaabbbaababaabbabbbaabbabbbabbabaababaabbabaaaabbaababbababbbbbbabbbbbbbbbbaababbbababaabaaabbbaaaaaaabbbaaabaabbbabbbabbabaaabbaaabbbaabbbbaaabbaaaabbbbaaabbbabbaaaaabaaaabaabaaaababaaabaaaaabababababbabaaaababbbbaabbbaabababaaaabbabbbabbaaabaaaabaabbabbbaaaaaababbbbaaabbbaaabababbaababbaababbabbababbbbaababbaaabbabaababbbbbaaaabaababbbbbabbbaaaaababababaaabbbbbabababbababaabababbbbbbabbbbaaabbbababbbbbaaaaaabbaabbbbbaabbbbbbbaabbaaaaabababaaababbabaaaaaaaabbbbabbaaaabbabaaaabaaabbabaaaaaaaaababbabbabbabbabbbbabbbbaaabbbbaaabbbababbaabaaaaababbbaaaaaaaabbbbbaaaaabbbbaaaabaaaababbaabaababbbabbaaaababbabbbbbbbaaaabbabbaabaabbaaaaaabaabbabababbabbbabababbbbabaaabbbbbabbaababaaabbaaabbaabaaaabaaaaaabbbabababbaabaabbbaaabaabbbaaaabaabbbabbbbbabbbababbbbbaaabbabaabbbbaaaabbbbaaaaabbbbbbbbaabbaaabaabaaaabbbbbbbbbaabaaababbaaaabbaabbaaaaababbbbaaaaaabbabbaabbbbbbaabaaaaaaabbbbaaaababaaabbbaaabbbbaaabbababbababbaaababaaabbaabaaabbbbbbaabbaaabbbbaaababbabbbaababaaaabaabababaaababbabbaaaaaaabaabbaaabbaabbbbabbaaaabaababababaabaaaabbbaabaaaabbabaaaaaabbaabbabaaaabaabaaaaaabaaabbbaabababbbbbbbaaaaaabbbaaaabbabbbabbaaaabaababbbabaaaabababaaaaaabbababbaabbaaabbbaaaabaaaaaaababababbabbbaaaabaabaababbbbbababaababaaaabbbbbbbaababaaaaaaaaababbaabbbbaabbaababbabababbabaabaabbabbaaaaabbaababbbababaaaaababaabaabaabbabbbbbbbbabaaabaaabaaaabbaabaaaaaabbbabbabbaababbbbbaabbaabaaaabbbaabaaaabbbaaabbbaaaaaabbbbaaaaaabaabbbbabaaaaaaabababaaabaababbaababaaaababbbabaaabaaabbabbaabaaaabaababbaabbbbbaaabababababbbaabbaababbabbaaaaaaaaaabaabbababbabbbabababaaabaaaabbbaaaaabbababaaabababbaaababbbaabaabaaabbaaaabaabbaaaaabaaabbbbbbabbbbbabbabaabbbbbbaaababababaabaababbbbbaabbabbaaabaabababbabababababaaaaaabbaaabbaaabbbaaaaabaaababaaabbabaabbbaaaabaababbbaabbabbbabbabbbaaaababbabbbbbababaaaaababbbbaabaabbbabbbaaaaabbbbbabaabaababbabbabbbabbaababbbbbabbaaabbaaabbbbabbaabbabbaaabbbbabbabbabbbabaaabbbbabaabbaabbbabbaaabbbabbababaaaabbabbbbaaabbbbabaabaaabbbaaaabbbbbaaabbbbabaaaabbaabbaaaabbabbbaaabbbbabaaaaabbbabbbabaabaaaababbabbbaaabbabbabababaabbaaaaaabaababababbbbbbbbbaabbbabaabbabaabaaababbbaaababbbbaaaaabaabbbbbabaababbbaaabaaabaaaaabbbbbbbbabbaaababaaaaaaaaabbaaabbbabababaabbbbababaaabaabbbabbaababbbabbbbaabbaabaaaabaabbabbbaabaaaababbaabaabaababaaabaaabbabbbbbaaababaababbaabbbbbaabaaaaaababbbababbaabbababbaaabbbaabbabbbbbbaabaabaabbababbbaaaaaaaabbbaaabbabaabaababaaaababbabaaaababaababbbaabbbaabaabaabbbaababaaababbaababababbbaababbbbbbbbaabbbbaabbbbbbbbaabaabbbaabbbbbabbbbbaabbbaabaabbaaabaabbbbaaabaaaaabbbbbabaabbabbaabbaabbaabbabbababaabaabbaabbbbbbaaaabbbbabaaaabaaabbbabaaaaaabbaaaabbbabbbbbaaaabbabaababbaabbaaabbbbbbaaaabbbababaabbaaababaabbaabababaabbbbbaabaabbbabaabbbbaaaaababaaabbbaaabbaaababaaaabaabbbaaabaaababbabbabbabbbaabbaaabbaabbaabbbbbbabbaababbbbabbaaaabbababbabbbaabaabbabbababbbbbbbaabababbabaabbabaaaaaabbbbbbbbbabaaabbbbabbaababbbaabaababbabbbabbbbbbaaabababaabbaaaaaabbaaabbaababbbabaaababbabaabbaabbaabbbbbbababababbababaabbaabbaabbbaabaabbaaaabbaaabaaaaaababbabbababababbabbbaabbaaababbbabbabbbaabbbabaaabaaaabbaababaabbbbaaaaaabbaaabaababaabbbbabbbbbababbbbabbbabbbabbbbaabbababaabbabbbabaaaaaabaaabbbbbbbbaabbbbbbbaabaabaaaaababbaaabbbaababbabbaabbbbabbbbbaaaaabbabaaabbabbabbbaabbabbaaaabaabbbabaaabababaaaaabbbaabbbbaabbababbabbbbbbbabaaaabbbbbaababbabbbbbbbabbabaabaabbbabbabaababbaaabbbbbbbbabababbabbabaababbababababbbabbbabaabbbbabbbbbababaaabaaaaaaaaababbbbbabaabaabababaabbaabababbaabaababababbababababaabaabbabbbbbbaababbbbbabbaabbbaababaaaababaaaaabbabbbbabababbabaabababbabaaaabaabbbbaabababaaaabaabbabbaabaabbbbaaaabaaabbbaabaaabbaabaabbaabaaabaabaaaaaababbabaaababaabaaabbbbabbbaabbaaabaaaaaaabbbbabaaabbaaabaaaabbbaabaaaabaaaaaabbabbaaaaabbaabbabababbbaaabababaabaaaabaaabaaabbababbaaabbbabbabbbbbbbbaaababbaaabaabbbaaaabababaabbbbabbbbbaabaaabaabbbabaaaaaabbbaaaaababbbaaababaaaaaaababaaaaabaaabbaaabaababbbabaabaabababaaabbaaaaabaaaabaabaaabaabbbbaabbaabbabbbbbbbbbbbbbababbabbbbbbaaaaaabbbbbbbbbbbbbbbababaaabbaaaababbaabbbaabaabbababbbaabaabbbbabbaabbbbbaababaaaaaabababbbbbabbaaababbaabaabbbbabbaaabbbaaababbababbabbbaabababbabaabaaabbbbabbbaabbaaaaabaabbbbababbabbbbaaabbbaabbabbbaabbbbaabaaaabababbaaabbbaabbaabbbbbbaabbabaabaaabbbabababbabaaaaaabaabbabaabaabbabababaaaabaaaaaaabbbaaaabbabaababaaaaaabbabaabbabaabbabaaabaababbaaaabbbabbabbbabbbabaabaaabbbbbaababaabaaabaabaaabbbabbbbababaabababaabaaabbbabbbbbbbabababbbaaaabababbaaaaaaababbabaaaabababaaabbbaabbbbbabaaaabaaabaaaabbaaaabaaabababbbbbaaaabaabaabbaaaabaabbbbaaabaaabbaababbbaabbaabbaaabbaabbbaaabbbbabbaaabbabaaaaaaabaaabaaabababbababbaaaaaaababbbbabaabaabaabaaabbbbbbbbaaabbbbbabbabaaaabbabbabaaaaabbaabbababbbbbaabababbabbaabaabaaaababaabbbaabaabbaabbababbabaabaaabbbbaaabaabaaabbbbbbaabaababbabaaabbbabaabbbbaaaabbabbaaababbbaababbaaabaaababbbbaabaabaabbbbbbbaaaaaabaaaaaababbbbbabbbbaabaaaaaababaaababbbbabaaababababbbbbabaaabbbababbbababaabbaaaabaabaaaaabaabaabbaabbbaabbbbaaababaabaaaaababbabaaabaaaabbababaaababaaaabbbbaabaabababbbaaaabbbabaabaabaaaabbabaaaabaabbbabbaaabbaaaaaaabaabaaababbaaabaabbabbbbabbabbbbaababaaaaaababaabaaabaaaabaababbaaaabababababbbabbbaaaaababaababbabbbbbbaaabaababbbaaaababbbbaaabbaababbbabbbababaaabaaabaaaaaababaabbbbaabbababaaaabaabbaababbbababaaaaabbbaaaaaaabaabbaaaaabbbbaabbaabaabaabbbbbaabbabaabaaaaaaabbaabbabaaaaabaabbaabbbabbaaaaabbababbabbbbabaababbbabbbaaabbbbaaabaaabaaababababbbbaaabbabababaabbbaaaabaaabbbbabbbaababaaababababaaabaaabbbbababbbabaaababbbbbbabbaaababbbbaabababababaabbbbaabbaabaabaaaabbbbaabbbabbaabbabbabbaabbaabaabaaaaabbaaabbbbbbbbabbbaaaaaabbbbbbbbbabbbaabbbbaaabbaabaababaabbbbaaaaaaaaaaababbbbbbabababbbbabababbaaaabbbbbbabaaaababbaabaaababaaaaaaaaaabaabbbbaaaaababbaaabaaaaaaaaabbbbbbbbbbbbabbbaabbabaabbababaaabbaaababbabbbabaaababbbababbbbbbaabbababaaabaaabababbaababaaabababbbabbbbbabbabaaaabbbbabbabaabbbbaaaaaabbbabaababbabbaababbbaabbbabbaababaaabaabbababaabaabbbaaaaababbaaabbabaaabbbbbbabbabbbabbbbbbbbbaaaaaaaabbbaaabbbbbbbbaaaabaaaababaabbaaabbabaabbbbbbbabaabbaaaabaabbbabaabbbbaaabbaaabbbabbbabbababaabbabbbbbbbbabbbaaabababbabbbbbbaaaaababaabaaaaabbaaaaaabbbabbaaabbaaabbabbbbbaabababbaaaaaabaaabbbbbbaaabbbaaabaabbbaabbababababbaababbabbbababaaaabbbaaabaabaaababbabaabbbabaaaabbababaaaabbaabbaaaababbaaabaaaaabbbbbaaaaabbbbbbaaabbaabaabbbbbaabbabababbbbaaababaabbbababaabaaabbabaababbbbabaabbabbaabbabbbbabaabbbbbabaaaaabaabbaabbaabbbaaababbaababbbaababbaaaaaababaaabaaabaaababbbabababaaaabbaaabbaabbbbababaaabaaaaaaababbbbaaabbbabaaabbbbaaabbbaababaabbaabbababbbaaabbaabbaaabbbbababbaabbabbaaaabbbbbaabaabbabaabaaabaaaababbbbbbbabbbaaaaababbaababababbababaaabbababaaabbbbaaabaaaaaabaaabaabbababbbbbbabbaaabbbbaabbbaaaabbbaaabaabaabbbbbbababaabaabaaaabbbabaabaabababaaaaaabbaaabaababaabaabbbbbabbabbaaaabbbbaaaaabbbaaaaabbabaabbaaaabbbbbabaaabbabaababaababbbbaaababbbaaaaaaaabaaaaabababaabbbbabbbbbabbabbbaaababbbbbaabaaaaaabbbbaabaabbaaaaabbaabaaaabbbaabbaabaabbabbabbbabbbbbaabbbaaabbabbababbabbaaabaabbbaaaabbabbababbaaabababbbabababbbaababbbaababbbababaaaabbbbabbbabaabbaaaabbbbbabbabbababaabbaaabaaaabaababbabbababbbbbbaaaababbabbababbbabaabbbabbbbababaaaaaaaaaababaabaaaabaaaaaaaabbabbbbbabaabaabbaaaababaabaababbbabbaababababbbbbabbaaabaaababbaababbbaaaabbabbabbaaabbbbaabaabbabbbbbbbbabbaabababbbabaabaabaaaabbbabbbbbabbabbabbbbbaaabbbbbabbaaaabaababbbbababbbaaaabbbbabbbaaabbbaaabbaaabababbababaabaababbbaababbbbbbabababbbbbabbaaababbaabbabbbbaabbbaaabbbbbbaabbaaabbbabbbaabaaabaababbaabaabaabbbbbabbabaabbaaaaaabbbabbaabaabbbaabbbbbbabababaabbabbbababaaabaaaababbbaabbaaaaabbaaaaaaaabaababababaaaaabbbbbbababaaaaaabbabbbbabbbbbabaabaaaabbbabbaaaabbaabaabbababaaabbabbbbaabaaaaabbbbbabababbbbbababbabbababbaaababaabbbaaabbaabbabababaaababbbbabbbbaabbabbaaaabbababbabbbabbbabaaaaabbbbabbaababaaabaabbaabbabaabbaabbababaaabababbaabbbabbaabbaabbbbabbbabbaabbabaababbbababbbabababbabbbbabaababbbbbbbababbbbaaaabbaabbabbaababbaaaaaabababbababaaabaaabbabbaaaaababbbbbabbbaaabbbaaababbbababbaababaaababaabbbaabaaaabaabaaabbbabababababbbaabbabbabaabbbabaaaabbababbbabaabaaabbabababababaaaabbbbaabaabbabababbabbbbabaaabaabaaaaaaaaaaaabaaabaaaaabababaaabbbabbabbbbbaabaaabbbbaabbbbaabbabbbbabbabaaaabbaaaabaababbbbbabaabbaaaaaabbaaaaabbaaaaaaabaababaabaabbbbabbbbabababbaabbaaaaaaabbbabbbbbabbaabbbabbbabaaabaababbbbabaaaaabbbabababbaaaaabaaabbbbaaaaaaaaabbabaabbbaabbabbabbabbbabbbbbabbaaabaaabbaaaaababbbaabbaaaaabaaaabbbabbbbbababbbbaaabaaabbbbabbbbabbabbbabbaababbabbbbbababababbbbaababaaaaaaaaaabbbaaabbabaabababaaababbabbaabaabaaabaababaaaababbbbbaabaabbbaabbabbabbaaaababbababaabbaaaaabaaababbabaaabbbabbabbaaaabaaaabbbbaabaaababaabaaaababababaabababbabababbaabbbaaabbbbbabbbabaaaabbbbbaaabbaaaabbbaaaabaabbbbbbabababbabbabaaaabaaaaabbbaabbaaababaaaabbbbbbabaabbbbbbbbbbbababbaabaaababaaaabaaaabbbbaaababaaabbaaabaabbaababbbaaaabbbabaaaaaabbbbaaabbbbabbbbbabaabbbbbabaabbabbbbaabaabaaaaaaabbbaaabbbbaababaababbaabaaabbbbbaaabbabbbaaaaaababbbabaaabababaaabbaaabbaaabbabbbbabbababababbbbbaabbaaaaaaabbbbaaaabbbbabbabbbaaaaabbaaabbbaaaabbaabbabbbababbbaaaabbbbbbaaaabaaaabbbbbbabbabbbbaaababbbaaabbbbabaabbbabababaabbbbabaaabbbbbbbaabbabbaabaabbbabbaababaababbabaaababaaabbbaaaababbbabbaababababbbbbbbbaabbbbbaaaaaababaaaabaaabbbbabaabaaabbababbbbabbbbbaabbbabaaaaabaabaababababbbbabaaababaaaabbaabababbbaaaabbbbbbabbbaabbaabaababaaabaaaaaabbbbbaaabbbbbbabbbababbaabbaabaabaabbbbabaabbbbabbaaabbbabbbbababbaaabbbbaababaabbbabaaaabbabbabbabbaabbbbabbbbbbbababbbbabababbabbaaabaabbaaaababaabababbbaaaaabaabbbaabbbbababbababaaaaaaabaaaaaaabbababaabaababbbabaaabbabaabbaaaaabababbbbaaaabbabaabbaabbabbaaabbbbbbabbbabbbabbbbabbbbabbbababbaabbaababbabbaababbbbbaaabbaabbaaabbbbbabbbabbaaaaababbbaabbbaaaaabbbabbbababaabbbbaabaabaababbaaababaabaabbbaaaabbabaabbbbabbabababbaaabbbaabaaaaabbaabbbabbbaaabaabbbaabbbbbbbbaabababbbabbbbababbaababbaaababbaaaaabbbbaabbbaaabbabaabbbabbbaabbaaabbabaaababbbabbbaaaaaabaaaabbaabaabaaabaabbbabbbababbabbabbaaaabaaabaaabbabbaaabbababbbaaabbabbbbbaabbbaabbbaaabbbbbbbbbabbbbaaabbabaaaabbbabbaaaaabbaababaabbbababbbbabbaabaaaababbbabbbaaabaabbaabbaabaaaababbaabbababaaaabbabbaabaaaaaabbababaaabbbbbbbabbbaaaabaaababbbaabbaabaaabbaabababaabbaabaabbbaabbaaabaabbbbaabbbabaaabbbabaaaaabaaaaabbbbbaababaabaabbbababbbaaaaaabbbbbabbaabbbbaabaaababaabababababaabbababaababbbaaaabbaaababaaabbbababbbbabbbbaabaaaabaaaabaaabaaaaaaababaabbbbaabababaaababbbaababbbbbbbabbababaaabbabababbbaabbababbaaaabaabaaabbabbaabbbbaabbaaababaabbbbbbabbaaaaaababbbabbababbabaaaababaaaabbbabaabbbbbbaaabaabbbabbbaabaaabbababbbaaabbabbaabaabaaaabbababbabaabbaababbbabbabbbabaabbabaabbaaaabbabaaaaaabaaaaaaaaaababbbbaaababbaabbabbbbaaaabbbaabaabbbbababbabbbaaaabbbabbabbabbbaabaaabaabaabbbaaabbbaabbabaaabbbaaabbbabbbbaaaaaabbbbababbbababbaaabaaaaaaabbaaabbbaabaabbbaabbabbbbbabbbbaabbbbabababbaaaaabbaaaabbaabaabaaabaabbaabbbbababbababaabaabbbbaaaabbabbbbabbbaaabaaababbaabbbbaaabaaaabbbbaabbbbbababbbabbbbbaaaaabaababababbbbbabbbbabbbaabbbbbbabbababbbbbbbaabbbabaaaabbabaabaabaaaabbaaabbbababbabbbbbaaabbabababaaababaabaababaaabbaaabbabaaaaaaabaabbabaababaabbabaabbaaabaabbbaabaabbabababbababbabbabaababaaabbbaabbaaaaabaaaaaaabbababbaabaaaaaabbabbababbbaabaaaaaabbbaaababbaababbbbbbbbbaabbbbbaaaaabbabaababbbbabaababaabbbbaabbbbaababaabbabaaabbaabbbbbbaabbbbaabbbabbbabbababbaaaabbbabaabaaabababbaaaaaabbaaaabbbaaabaabbabbbbaaaabbabbaaaabbabbbbaabbabbabbbbaabbaaaaaababaaaabbaabbaabaababbaaaababbaabbaababbbbbbabbbbabaaaaabbaaababbbbabbbabbabbbaabbbabbbbabaaababbaaabaaaababbbbbbabaaaaaababbbaabbabbbabbbaaabbaababbbbbaabbbbbbaaabbaababbbbaababbaaaaaaababbabbaaaaabababaaaabaaabaababbabbabbaaaabababbbbbbbbaaaaaabaaabbababbabbaaaababababbbbaaaababbaabaabbaabbababbbabaabbbaabbbaabaaaabbabbbbbbbabaabbbbaaaabbabaaaabababaabbbababbaabaabbaaaababaabbaabbbabbbaabbababbbbabbaaabbbabaaaabaaabaababbababbbbaabbbaabaaabbbaaababbbaabbabbabbbbbbaaaabbbbabbbaabbabbbbaabbabbbabbaabbabbaabbbbaababbababbaabbaabbaaaaaaaabbaaabbaabbbabbaaaaaabaaaabababbbaaabbbabbababaabbbabbaabbbbbabbbaabaabbbaabbaaaaaabbabbaabbbbabbbbaaabaabbbaabaabaaaababbbabaabaabaabbabaababaaaababbaaaabaaaaabaabaaabbaaababbaabaaaaaaabbbaababbbabbbaaabbbaaababaaaabaaaabbabbabbaabbababbababaabbaababbbbabbaabbabaaaababaabababbbaaaababbbbaaabababaabbbaaaaabbbbbabaaabaabbabaabbbbbbbbaabbbaabaabaaaabaabaaaabbabaabbbbabaabbaabababbabbabbbbbbbbbbbaaaaabaaabbbbaabbbbbaaabaaabbbaaabbbabaababababaaaaababaaabbababaabaabaaabbaaabbbbabbaabababbbaaaaabbbbaabbbaaaaabbaaaabbbbbababaaababbbababbaaaabaaaaababbabbabbabaaaababaabbbbabbaabaaabbbbabbaabaaaaabbbbabbbabbabaabbbbabbabbaaababbaababbbaaababbbbbabbbabbabbbbbbbbbabaabaabbbabbabbabbaaaaaabbabbaaabaaabbabbbabaaabbababaabababbbbabbbbaabaaaaaaaaabbbaaabbbbabbbbabbaababbaaaaabbbbaaabbbbbababbabaaabbbbababbbabbabaabbbbbbbbababbabaabbbbabbaaabbbbbbabbaaaababaabbaabbbbaaabbababaabbaababaaababaaabbaabbaaabbbbbbbbbabbbaabbabababbabaaabbabaabbbbaabaababbbbbabbbababbbbaaabbaaaabababaaababbabbababbaabaaaaabbaaababaaaabaababbbabbababbababbababbabbbabaaaabbaaabbbabbbbaababbbbaabbaaaaaaabbaababaababbbabababbbaabbbbbbabaabbbaaaaabaabbbbbbababbbaabbbbbabaaabaabaaaabbbbbabbbaabaaaaaaabaaaabbabbbbbbaaabababbbaabaabbabababaaaaababbabaababbaababaabaababbababbabbbabaabbaabbaabbbabaababababaabbbbbbbbaaabbbabbbaababbaabbabbababaabbbbabbababaabbbabaaabbabaababbbbbabbabbbabbbaabaabbbbbaababbbabbbbbaabaabbbabbabaaaabbaabaaaabbabbbbabbbaabbbbbbbaaabbbbbababbbbaabababababbbaabbabbaabaabababbabaaabbbbbbbabaaababbabaaaabbbbaaaabababbaabaaaabbabbbaabbababbbbbaaabaaaaaababbbaabababbabbabaabbbabbbaaabbbbbababaaaabbbbbbbabababaabbbbbaabaaabaabaababbbabbbabbbbbbabababaababbbaaabbbbababbbbabaaaaaaabaabababbaaaabbaaaaabaaaabbaababbaabbaaaabbbbbbabababbbaabbbbabbbaabbaaaabaaaaaababaaaaabbbaaabbaaababababbbbaabaaabbabaabbaaabababbabbbaaabbbaaaaabaabbaabbbababbaabbbababbaabaabaabababbabaabababbbbabbbbbaaaababbbbbbbabbbaaaabbaaaaaaabbbbaabbbabbbabbaaabbaaaaabbbbaabbbaababaabaaaaabaaaabababaabbbbaaabbababababaaabbabaaabbbbbbbbbbbbabbaabaabaababaabbbabbbbbbbbbaaaaaaaaaaabbaaabaabbabaaabbaabbbaaabaabababbbababbbbaaabbbbabaabaaaabaaabbbbabbababaabbababbabbaaaaabaaababbbbabbbbbababbbabbaaaaabaababaaababaaababaabbaaaaabbbabaaaabababaaabaaabbbabbabaaaabbbbbabbbbbbaababbbabaabbbaabaaabaaaabaababbaaabbbaaaabbbaaaaaaabbbaabbabaaabbaabbabaababbaaabbababbaabbbaabbbaaaabbaaababbaabbbaabbaabbaabbaabbaabaaaaaababbaaababbabbabaaaababbbbbbbabbabbbaabaabbbbbaabbabbaabaabbabbbabaabbababaababbabaaabaaaababbbaaaabbbbbaabbaaabbbbbabbaabaababaaabbbbbbbbaaabababbaabbababbabaabababbbbaababbbbabaababaaabbabaabbbabbbbaabaaababababaababababbbaabaaaaabaaababaabbaababbbbbbaaabbaabbbbbaabbabbaaabbabaabaabbabbaabaaaababbbaaaababbaaababbabaabbbaaabbbababbbabbaaababaabaaaaabbbbaabbababbaaaaabaabbbabbbbbabbbaaaaabaabbabbbaabbababaababaaabbaaaaabbbaaaababbabbbbbaababbbaabaaaabbbbaabbbabbbbbaababaabbaabaaabbbaabaabbbbbaababaabbbabbbbabaaaaababababbaababbaababababbaaabbbbbaababaaabaaaabbaabaaabbaabaabbbabaabaaaaabaababaaaabbaaabbbbbbaabbabbabbaaaaaabbaabbabbababbababbababbabababaabaaaabababbaabbbbbbbbaaabaabaabbbbaaaabbbabbabbbbabaababbabbbbbbaaaababbbaaabbbaaaaaabaababbaaaababbbbaababbababbbbbabbabbabbaabaaaabbaabbaabaaaaaababbabbbaaabbbabbaabbabbaabbabbbabaaababbaaaababbaaababbaaaaabbbabbaaabaabababbbabababbaaaaaababbaabbbaabbbaababaaabaabababbabbbaabbbbaabaaabbbbaaaaaaabbbbbaabbbbbaaaabbababaabbbbbabbbababbbbabbabaaaabbaaaaaabbababaaaaabababbbbbbaabbaabbaababbbbbabbbbabbbabbbababaaaabbbaabaaaaababbabbaabbabbbbababaaabaabaabbbbabbbabaabbaaabbbbabaaaabaabaaabaababbbaaaabbbababbbbbbaabaaaaabaabbabbaabbbabbaabbbabbbbabaaaaabaababbbabaaababbbaabbabaabbbaaaabbabbabaaaaabbbbaababaaababaababbabbbbabaaaabbbabbaababaaabbabaaaaaaaabaaaaaabbaabbbabbabaabbaaaaabbaabbbabbbbabaababbaabbaaabbabbbaaabbbbbaabbabbaaaaababbaabaababbbabbababbbaabbbbabaaabaabbbbbabbaabbaaaababbbabbbbbbbbabbbabbbabaabbbabbbbbbaababababbbabbaaaaabababbbbbbbabaaaaaaaaaababbabbbbababaabbbbaabbbbbaababbaaaaabababbbabbbbaaababbbbbbaaaaabababbaaaababbbaababbaaababababbbbabbbaabbbbaaaabaaaaabaabaabbbbbbbabbaaabbbaabbabbbbaaaaabaabbbbabbbbbaaabaaaabbbaabaaababababababbabaaaabaabbabbbabaabaaabbabaaababbbbaaabbbaabbaabbaaaaaaababbaaaaaaabababaaabaaabaabbbabaabaabaaabbbbbababaabaaaabbabbbaabaababbbbbaaaabababbbabaaaabababbbbbbabbabaabaababbaaabbabaaaaababbbaaabababaaabaaabaaabaaaabbaaabbbbaaaaaabaaabababbbaaaaabbbababaabbbbaabbaabbbabababababababbbaaababbbbbbabaabababababababaaaaabbbaababaaaabaabbaabbbaaabbababbaaabbabaaabbabbbbaabbbbbababaaaaaababaaabbbbbbbaabbbaabbbbbbabbabbabaaaabbbbbaaabaabbbaabbaaabbbbbbabababaabbaababaaaaaabaabaabbbbbaaabababbbaaababbbabbbbbbabbbaaaabbabbabbaabbabbababbaababbaaabaabaaaaabaabbbabbbaaabbbaabababbbbbbbbbaabbaabababaabaabaabaababbbbbababaabbbbaaaabbaabbbbaabbaaaababaaabaaabbbabbbabbbbabbbaababbaababbaaabababbbabbabbbabbaaaaabbbbbbbaaabaabaabbababaabbaabbaababbbbbbaabababaaaabbbbababaaaabababaabbabbbbbbbbabbbaaaaabbaabbbbbababbbbababbababababaabaabaaabbababbbaabaabbaaaabbbbbaaabaabaabbabbaabbababbbaaaaabbbbababaabbabbbabbbbbaaabaaababababbbbabaaaababaaabbaabbabababaabaababaaabbbbabaabbbaabababaabbaabbbabababbaaaaabbbbaabbbaaabbbbbbbaabaabbbaabbabbbbaaaaaabbbabbabaabaaabbbbbbbbabaabbbaaaabbababbabbabaababaabaabbbaabaaaabbbbbbbaaabaabbaaababbaaabbbaabbbabaababbbbbababaaaabaaaaaabbbababababbbbbaabababaaaababbaaaaababaaaabaabaaaaabaaaaaabbbbbabbbaaababaaabbbaabbabbaabaaaaabaaaaabbbababbbbaaaababababbaaaaaabbbaaabaababaabbbaaaaaabaababbabbbbaaabbbbbaabbbbabaaabbbabbaabaabbabababbbaaabaaaabbababaabbbabababbaabbaabbbbababbaaaabbbabababaaabbaaabbabbbbbbbabbabbbabaababbbbbaaabbbbababaabaaaabbbbbaaaaaaaaabbabbbabbbbabbbabbbbbbabaaabbbabaaaaaaabbabaabbaaababbabbbaaabaaaabaabaaababaabaaaababaaabbaababbababbaabbababbaaababaabbaaaababbbabaabaabbaaaababaaabbaabbaabbaabbbbabbbbbbabbabbbbaaaabaaabaaaaababaabbbabbbabbbbbbbbbbaaaaabbbbbbbbaaaaaaabbbabaabaabbaabbbbbaaaabbbbbbaabbaabbbabaaabaaaabaababababbbaabaaaababbaaaaaaabbaabbabaabbabbabaaababbabaabaabbbaaabaaabbbaabbaababaaababaabbabbabababaaababbabaabaaababbbbbabbbababbabbaabbbbaaaabbbbaaabbabababaaaabababbabbbbbbabbaaaabaabaababaabbbabaaaabbababaaaaabaaabaaabbbbabaabababbbbaabaaababbbababbaaababababbbabbaabbbbababbbababbaababbabbbabbbbabbbbababbbabbbaabaaaaaaabbaabaaaaabbbaaaaabaaaaabbaaababaaabbbbabaababbbaaabbbababbaaabaabbbbaaaabbbaabbbbabaaabaabbbabaaabababbaaaaabbaaabbaababaaaabbaabaaaabaabababbaaabbaaababababaababababbabbabbbbababaababbbabbaaaabaaabaaabbbaabababaaaabaaababbbaabbabababbaabaabbabbbbbbbbbbbaaaaabbaaababbbabababbbbbbbbbbbabababbababbbbbaaababaabbababaabaaabbabbaabaabbbababbaaaaaabbababaaabaabababbabbbbbaabbaabaabbaaababaaaabaaaabbbabbbabbbbabbaabaabbbbababbaaaabbabbbbabaabbbbbbabaabbaabbabaaaabbabbbababbababbababbababaabaabbaaabbababbaabbbbbbbabaabaaaaaabaabbbbbaabaaababbaaaababbbbababbabbaaaabbbabaaababaaaababaaabbaabbaabaaababbbbababbbabbaaaabbababaaaaabaabbaaabaaaabaaaaabbaabbbbaababbaababbbbbbabbbababbbbbbaaaababaaaabbaababaabbabbaaababbaabaaabaabaaaaabbaabbabbabaaaaababbbbbaababaabbbaaabbbabaabbbabbbbbaaaababbbabbbaababaaaabbabaaaaaabbbbbbaaaaaaaaabbababbabbbabaaaaabaaabbaaaaabababbbaabaababbbabaababbabbbbbbaaabbaaababaaaabbbaaababbabbbbaabbbabbbbabbbaabbabbaaaaaabbbbabbbbaabbbbabaabaabababaabaababaabbbbbabbbbaaaabaaaabaaabbaaaaaababbabaabaaaabbababababbbababbbbbabbbbabbbabaabbaaabaabaabababaabbbababaabbbbababaaabaaaabbaaababbabbaabaababbababbbababababbaabaaaaabbbbaabababaabaaabbabbabaabbbbaaaabbaabbbbbabbbbbbbabbaaaabaabbbbabaabbbaabaaabbaabbbbaaaaabaababbaababaaaaaaabbabaaababbbaababbaaaaaabababbabbaaabbbaaaaababaabbabbbbbaabaaabababababbbbbaaaaabbaabababaabbaabbbbbababbbaaaabbbbbaaabbbbaaabaabbbbabbbabbbbbaabaabbaaaabbaaaabaababbaaaabbaabaababbaaabbbaabababaabbabbbbbbbabaabaaabbabbaaaaaababaaabbbbaababaabaababaaabbabaaabbbaabaaaaaabbbabbabababaabaabaaaaabbabbbbbabaaabaaabaaabbaabbbaabbbbaaaaabbaaaaabbabbabaabaaaabaabaabaabaabababbaabbabbabbbabbbaabaaabbbbaababbaabbababbbaaaabaaabababbabbbaababaabaabbababaaaaaaaabbaaabaabaaabaabbaabbbaaababbababbaabbbabbbbbaaaaaaaaababbababbbbbbbbababaabbbabbaababbaaabbbbbaabaaabbabaabbaaabbaaabaababbbbabaabbbababbababbbbbababbbbbabaaabbbaaabbaaaaaababbabbaabbaaaaabaaaaaaabbbababaabbbbabbabaabbbabaaabaabbaaaababaababbbaaababbabbbaabaabbbbbabbaaabbbabbabbbbbbaabbabbbabbbaaababbaabaaabbabbbbbaabababaaabaaaaabaabbaaabaaabbbabbaabbabbabaababaabbbaaaabaababbababaaaaaababbbbaabbaabaaabbabbbbbbaabbbbabbabbabbabbbaabbbbbaabbbbbabbbbbaabaabbaabaaabbbabaabbbbbbbbbbbbbbaababaaaabaabbbbababbbbbabbbbaaaabaabbbbbabbbbbbabaababaaaabbaaaaaaabbbababaabaaabbbabababababaaabaaababbaaaaaabaabaaabbbababbaaabaababbaababbaabababaaabbababaabbabaaabbabababbbbabbbabaaaabbaaabaabbababaaabbbabababbabaaababbbbbbbaabbaabababaabaaababaaabbaaaaaabbaaabaaabbbbaaaaabbaaaababaaaaabbabaabbabbabaababababaabbbbabbbabbaaababbaababababaaabaaabbabbaababaaaabaabbabbabaaababbabbaababbbbbabaabaaabaababbbabaaabbbabaaaaabaaabababaaaaaaaabbbbbbaaaababbbabaababbabbaaaabbbabbbabbabababbbaabbbabbaaabaaaababbababbaabbbabbaabbbbaabbbbaaabbbbbabaabbabaabaabbbbaaaababaaaabbbaaaabababaabababaabaaaaaabaabaaaaaaaaabbbbbbaaaaaababaabaabaababbaabaababaabababbabbbababbabbabaaabbabababaaaaaaabaaaabbbbbbaabbaabaabbaababbabaababbbbbbaaaababababaaaaabbaaababaaababbbabaababbabbabbabbbabaaabbabbbbbbbbbabababaababaababaababbabbaababbbbaabbbaaaabaaabbabbaaabbbabababbabbabbaaabbbabbbaaabbaaabaababaababbbbabbababaaaabaababaaaaaaaaaabaabbabbaabbbabaaabbbabbbbbabbbbaabbbaabaababaababbabaaabbabbbababbaabbbbaababbabbbaaabbabaababbabaababaababababaabababbbaaababbabbbbabbbaaabaaaabbabbabbbbbbababbbbabaabababbaabbbaababaabaaabbbaaaabbbbaaaabaabaabaabaababbbbaaaaaabbbbbaababaaabaabbaaabbabababaaababbbabbabaaaabbbabbaaaaababbbabaabaabaaaabbbaababaaaaabaaababbbbababbbabbabbbaaaaaaaaabbbabaaaaabbbabaabbbbababaaaaaababbababbabbababaaabaabaabbaabbaaabbbaabababbaababbbaabaaaaaababbbbbaabbbbabbaaaaaabababbabaabbbaabbbbaabbabaaabababaaaaaaaabbbabbaaaabbbbbaaababaaaaaabbbbbabaabababaabbabbababaaabbbbbabbabaabbaabbabaaaaaaabbbbaaabbaaabbabbbbaabbababbbbbbababbabbaaabbbaabbaaaababaababaaabaaabaabbabbbabababaaaabbbaabbabaaabbaabbbaababbabbaabbabbaababaaabababbababbbbabaaabaabaaaabababaaaaaaabaaaabbbaabbbbbabaaaabaaabaababbabbbaabbbabaaabbbbbabaababbaabbbabbbbbabbabbbaaaabbbaabaaababababaabbbbbaaabaaaaaaaabaaababbabbababbabaababaaabaabaabbbbabbaaabaaabaaaaabbbaabbbbabbbabbababaaababaaabbbbaabaaabbabbbabbbbbaaabbbbababbbabbbabbaaabbbbbbaaaabaabaaaabababbaabaabbabbabbababababbbabaabaababbabbabaaabbababbaabbbabbbbaaaaababbbaaaababaaaabababaabababbaabbaabbbabbaaabbaabbbbbbaaaabbaaabbbabbbaabbbbbbabbababaabbabbabaaabaaaabaabbaabbbbbbaabbbbbbbaabbaaabbabbaabbabbbaababbaaaababbaabaaaababaaabababbabaabbbbbaaabbbabbbbabbabaaaababbaabbaababbaaabaabaabbbbbbababbaabbbbbbaaaabaababaaabaabaabaaaaaaaaaabbaabaaabbaaaaaaaaababbbabababbbbbaaabbbbaaabaaaabaabaaaababbababbbaabaaaaaabbbbbbbabbbabbbababbabbbaaababbabbbbbababbbaabaabaabbaaabaaabbabaaaaaabaaabbbbbbaabbabbbbbabaabaaaabbabaaaabaaabbabbbabaaaabbaabbbbaaaabbaaabbababababaabbbbbaaaabbaababaabbbaaabaaaabaaaaabbaabbbbaaabaabaabbaaabababaaaabbbbabbbbaabbabababbabaabaabbbbaaabbbbbabaaaabbbbababaaabbbbbbbaabaabbbaaabaabaabaabbaaaabbaaaabaaabaabbbbababaababbabbabbabbbabaabbaaabaabbabbbbbababbabbaabbbabbbbbbbaabaababbbaaabbababbaababbbabbbaaabaaabbaabbbbabaaabbaabbaaabbabaababbaaababbbabbabbbabbabaabbabaabaaababaabaabbaaabbbbbabbbababbababbbaaabaaaababbaababbaabbaabbbbbbbaabaaaababaabaabbbbabaabbbaaaabbaabaabbabbabbbbbabaaabaabaabbbbbbbbaabbbbaaabbabbabbaabaaabbaabababbbaabbbbabaaabbaaaabbabbaaabbabbbaabbbaaaaabbbabaaabbbbbaaaaabaaaaaabaababababababaabbabbaabbaababaabbbaaaaabbabbbababaabaaaaaaabbaaaababbbabaabbaaaabaaabbaaaabbbbaabbaabbbbbabbabbbbbbbbaaaaabbbaabbaabbabbababbaababbaabaaabababbbbbaababbabbbbaaabaabaaabbaaabaaababaabaabaaabbaaababbababbbbaababbaaababbaabbbaaaaabbabbaababaaaaababbaabbbabbbaaaabbaaaaaabbaabbaaaabababbbabbaaababaabbabbbbabaaababababbbbaabaabbabbbbaaabbaabaabbabbbbababaaaaaaaabbbaaabaabbbabbbabaabbaabbbbabbbbbbbababbabbaababbaaabbbbbaabababaaaababbababaaaaaaababbbabbbaaaabbbaaaababbabaaabbbabbabababaaabaabbbbaaaabbbbaaaaaaaaabaaabaaaabbaaaabbabbaaaaabaaaabbabaaabaabababaabbbabaaaaabbaababbabaabbbaaaaaaaababbabbbbbaaabbaabbabaaaaaabbabbabbbaabaabbbbbabaaabbabbaabbbabaaabaaabbbbaaaaaabbbbabaabbbabbabbbbbbbabbaabbaaabbaaabbabaababbbabbaabababaabbaaabaaabbaabbbaaababaabbbbaaabaaaaabbbabbabaaabaabbaabaaabababaababbbbbbbaabaaababbaabaaabbbbbaaabaabbbaababaabbaabbbbabbabbaabbbabbaaabbabbabbbabbabaaabbabbaaabbbabaaaabbbabbbbaababaababbbbbaaaaaabbabaaababaaabbbabbaabaaaabababbabaaaabbbbbbbabbbababababbabbababbbabbaabaaabbbbabbbbaaabbbbbbaabbaaaabaaababbbaaabbaabbabaaaaaabaaaababaaabababaaaaabbbabababbababbbbabbbaaabbbaababbbabbaabaabbbaabbabbaaabbaabaabaababaababbaabbbbbabaabababababababbababbbabbabaabbaaabbabbaabbabbabbabbbbaaaaabaaababaaaaabbabbabbbaaabbbabbaabbababbbaababbbbbabababbabaabbaabbbabbaababbababbbbbbabaabaabbbbaababbbababbbbaaabbbaabababbbbbaaaababaabbbabbabaaabbaaabaaaababbbabbbaababbabaaabbbaabaababaaaaaaaabaaaababaaabaaabbbbbababbabbbaaabbaabaaaabbbaabababbaaaabbbbbbbbaaabaababaabbbbbbbaaaaaaabbbabaabbbababababbabbabbabaaabaabbabbbabbabaaaababbabbbbabbabbaaaabaababbbbbabbbaaaabbabaaabaaaaaababaababbbaabbbaababbbaababbbbbbabbaabbbbabbaaaaaabbaababbbabbbbbabbaabbabbaababababaaabaaabaaaaaabbbbbaabaaaabaabbabbbaaaabbbaaabaaaaaaabbbabbababbbbbaabbbbaaabbbbbbaababababaaababaaababbbaaabbaaabbbabaaaaabbabbaaabaaaababbaababbaaabaabaabababbaabbabababbaabbbbbaaaabaabaaaabbabbababbaaabbabbbbabbaaabababbbbbbbbabaababaaaaaabababaababaaabababbabababbbabaabbbababaabaabaaaaaabbbaabbbbbbbbababbbbabbabbbbaabbbbbbaabbbbaaababababbbbaabbaabbabbaaaabbbbbbbbaaababababbbbbabbbabaaaabbbaabbbbaabaabbabaaabbbbbbabbaaaabaaabbbbaaababbaabababbbabbaaabbabaabaababaaababaabbbaabaaabbbaabaabbaaababbaaaaabababbbbbaaabaaaaabbbaaaaababbaaaaaaaaabaaabaababaaaabbbbbbaababaabababaaaabaababbbbabaababbabaaabaaabaaaaaabaaabaabbababababaabaabbababbbbabaaaabaabbbbabbbbabababbabbababbbbbaabbabababaaabbaaabbababbababaaabbbbaaabababaaabababbbababbbaabbaabaaaababababaaaabbbabaaabbbbbbbbbabbaababaaabaabaaabbaaabbaababbabaaaaaaaaabbabbabaaabaabbabbabbaababbaaaababaabaaaaaababbbbbabbbbabbbbababaaabbabbbaabaabbbbbbbbbbbaababbbaabbaababaaabbabbaaaaaabaaabbbaaabaaabbaaababababbbabaabababaabababababaababaaabaaabaababbaabaabbaaabbbbbaababbababbbababbbbbbabababaaababbbbbbbaababbabbbaaaaaabbbbaabbbaabbbbababababaaabbabaabbaaaaabbabbbababababbabababababbaabaabbbaaabbaabaaabaabaabbbbbababbbababaabaaaabbababababbbbbbabbbabbbbbbaabbbbbabbbbababbbababbaaaaababbaaaabaabbaababbbaabaabaaaaabbbaaabbaababaabaababaabbbbbabbbbabbabbbaaabbabbababbbababaabbbbabbababbaabbbabbbabababbbbaaababaababbabbabababbabbaababbabbaabbaaaababbbabababbbbaabbabbaabbababbaabaababbaabaabbaabbaabbabbbaabbbababaaaabbabbabaaabbbbababaabababaaabbbababaabbababbaabbbaaaabaabbbabbbbaabbbbbbaabababbaabbababaabaababbababbaabaabbababbbbaabbabaaabaaaabababbabbabbbaaabaaaaabbbaabaaaababbaaaabababbaaabaaaabbbbaabaaababaaaabaaaaaaabababbbbbaabbbaababaaabaaaaaaababbabababaabaaaaaababaabaaaabbabbbaaaabbaabbbaabbbabaaaabaababbbbababaaaabbaabbaabaabaaaaabaaaabaabbbbaabaaaabbbbbbbbbbbbabbbbabbbbabbbabaabbabbabbbbbaaaababbaabababbaaaaabbabbababbabbabaaaabbbababbaaaabaabbbababbabbaabbaababbabbbbbaabbaaabaabaabbbaababaabbbbbaabaaababbbbababbbbbbbbaaabbbbaabbbbbbbbaaaababaabbbbbbabbabaabbaaaaaabbbaabbaabbbbaababaaabbabbabaabbabbabaaaabbaaabbbaabababbaabbaaabbbabaaaaabbbbbaaaaaaaaabaabaabaaabbbabaaabaababbbaaabbabaababbababaabbabbbbaaaabbaababbababbbbabbabbabbabaaaaababbaabbbbbbababbbbaaaaaabaaaaabbabaabbabababbbabbaabbbababaaaabababbabbabbbaabbababbaabbbabaababbbbabbaabbbbaaabaaabababbabbbabbaaabbbbbaaabbabbbaababbbbbaaabbbbbaabaaabbababbbaaaaaabbbbbbbaaaabaaabaababbabaaabbaaabbaababaababbaaaabbbbabaabbabbbbbaaaaabbababbabbababaabbbbbbaaabbbbbabbbbaabaaabbbbbbbbababbbabaaabaabbaaaaaabbababbaaababaaaabbbaabbabaaababbbbaaabaaabbaaaaaaaaaabaaabaabababbbbaabbbbabbaaaabbaaaabbabbabbababaabbbababbbaabbbaaaaaabbaaabbbababaabababaaabbbbaabbbabbbbabbaabbbbaabaababbaabbbbbbbabbabaabbbbbabbabbaababbbabaaaababbabbbaaabbbbabbaaaababababbbbbababbbaabaaabbbbaabbabaabaabbabbbabbaabbbabaabbaabaabbbabbbbbaabbaaabbbaababaaaabbbaabbbbabbbaaaabbaaabaabaaabababbbbbbbbaabbaababbbbabbbabaaabaaabbaabaaaabbabbbababaabbbbbbbbababaababaaaaaabababaaaababbbababbbbaaababbbbbbaababbaabbbaabbbbabaabaaababbaaababaabbbaababaababaaaaabbbaaaaabbaabbbbaabaaaaabbaaabbbbbbbabbbbabaaababaaabbbaababbbaaaabbbabbbabbbbababbabaaabbaaaaabaaaabaaabaababbaaabaaaaaabaaaaabbbaabaaabbaaabaababbbabbbaabbaaaabbbbabbbbbabbbaabbabababbbbaabababaaaaaaababbbaaabbabbbbaabbbbaabababbbbbbaaaaaabaaabaabbbaababaaaabababbbbabaababaaaaabaaaaabbaaaabbaaaaabbabbaaabbbbaaaabaabaaaaaaaaaaabaabbaaababbaabaaaababbaaaaabaaaaabbaababaabaaaaaaababbabbaabbabbbbbbbbaaabbbbababbbbaababaaaabbbbbbabbbababbbbabbabbaaabaaabbbaabbaabbabaabbbbbabbaabbbbbbbaaababbaababbaaaaabababbbbbabbabababbaabaabbababaaabbaaaaabbbbbabbbabaaaabaabbaabbabababbbbbbababbbaabbabababbbaabbbaaaababbbbbbabbabbbbabbaababaaabaababbaaabbbaabaaaabbabbaabbbaaabbbabbbababbbaabaaabaabaababbbbabbaabbababbaabaaaaaaaababaaababbabababaaaaaabbbbaaaabaaabbabaabbbababbbbbbbbbabaabbbbbababaaabaabbbbaabbbbaaaaaaabaaaaabbbabbbaaabbaabbbbbabaaaababaabbbabbaabbaabbabaababbbbaaaaaabbaababaaaaaababbbbbbbabbbaaabbabaaababbabaabbaababaaaaababbbbbbbbbaaaaaabbbbabbaabbabbabbaaabbaabbbbababbabaaaaabbabaabaabbbbbabbababbabaabaaabbaaabaaababaabaabbaabaaaaababbbbabaaaaababbbaaabbbbbbbaabbbabbbbbabaaaabbbabaabaaaaabaabbabbbbbbbaababaababbabbbabbabaaabababbabbaababaaaabbababbabaaabbbbaaabaababababbbbaabaababbaaaaabbbbaabbbabbaaabbabbaaabaababababbabbbaabbbbbbbabbaabaabbabbababaabbbaaaaaabababababaabaaaaaabaababaabbbbbaaabaababaabbabbababaaabbbabbbabbbababbabaaabaabbabaabaabbabbbaabbabababbaababaabaababbabbabaaaaaaaabbabaaaabaabaaabbabbaaabaaaaababbbaabbbbbaaaaabbbabbbababbabaabaaabbaaabbaaaaaaaabababababaaabaaabbabbbbbbbaaabaabbababaaabbababbaaaaaaaabaabbabbbaababbbaaabbbbbbbbaaaababaaaaababbbbbbaaababbabaabababababbaaabaaababbbabbbababaaaabaabaaaabababaabbbbaabbaabbbaaabaabaaababbbaaabaabaabbbabaaaaabbabbaaaabbbbbaabaaaaaabbabbbbbaaabaaaaabbaababbbaabbabaaaaaaabbbaabaaabbaababbbabaaaaaabaabaaaabbbabbaababbbbbaaaaaabababababababbababbabaaababbababaabaaaaabbaabaaabaaaababbabaaaabbaabbaabbbabbaabaaabbbbbbbbabbabababbbbaabbbabaabbaabbbbaabbbaaaababaabbbbaaabbabbabbbabaabbaabaaaaaabaabaabbaaabbbbbbbbabbbbaababbbabbbbaaaabbabbbbbaaabbaababbababbaababbaaaaaaaabbbbbabbaaabababbbaabababaaaabbbbaabaabababbaaaaaaaabaaababbbaababbbbaabaaababababbaaaabaaaaabbaababbbbbabbbaabbabaaaaabaaaaaaaaaaabababbbabaaabaabbbbabbbabbaaabaaababbbaaabaabaaabaaaaaabbbaabaabbbbbabbabaaaabbbbabbabbabbabbaabaaabbbaaababbabbaababbbbabbbaabaaaabbaaaaabbababbaabaaabaaaabbabbbabbbabbaabbbbbbaabbaabbabbbbbbbbaaaaaababbbaaabaabbbbbaaaaaaaabaabababaaabaabaabbbbbbbabbaabbaaabaabbaaaaaaabbaaabbaabaabaaabaaaababaabbabbbbabbbbbbbabababababbbbabbaaaaabbbaabaaaaabaabaaaabbbabbbaabbabaabababbbaaaaaaaaaaaaabbaaaababbbaabbabaabbabbbbaabbabbbbbabaaababbabbbabbbabaaabbaaabbabaaaaabbabaabbbbbbbabbbabbbaaaabbbabbaaaabbbbabbaaaaaaabaabaaaaaabbabbaaabbabbaabbbaaaabbaaababbbbaaabababbbaababaabbbabbbbaaaabbbbabaaaaababbabbbbaabababbabbbbabaaabaabbaabbaaaaaaaababbbbaabbbaaaabbbaaaaabbbbaabbaabaaaaabbbabbbbaabbabaabbbbaabbbbababaaababaaabababbabaaaaaaabbaabbbabaababbabbaaabbabaaaaabbbabbabaabbaaabbbbababbbbabbbaaabaabbabbabbabbbbbabbaababaababbbaabbbabbaaaaababaaaaabbabbbababaababababaabbbabbaabbaaababaaababbbababbbbbbabbbabbabbabbabaaaabbbabbbaabbaababbbbbabaababbbaababbabaabbaabaaabaabaaabaaabbbaababbabbbabaabbabaabababaaaaaaabbbaabaaababbbbbbbbababbbabaaabaabbababaaaabbbbabababbaaaaaaaaabbaaaabbbaaababbbabaabaabbabbbaaabbbbbaaaabaaabaaababbaaaaaabaabbbbaaaaaaabbbaabbbaaaabbbbbaabbbbbabbaabbbabaababaabbbbbbbaaaaabbbaaaaabbbbabbabbaabbababbbabababbbaaaabbaaabababbaabbabbbabbaabbababbabaaabbbbabbbbababababbaaaabaaaabaabbbbaaaababbbbabaaabbabbabbababbbbbaaabbababbaaabababaaaaabaabaababaabbaaaaabbabaabbaaabbbabbbbbbaababaabaababbabbaaabaabbaabaababbaaabbabbabbbabaabbaaabbbabaabbaaabbbbbabbabaabbbabbbaabbbbbababbbbaabbaabbbbabababbbbbabbababbbbbaaaababbbabbbaaabaabaabbbabaaaabaaabbbbbbbabaababababbaaababaaaabaabbaaabaaabaabaabbaaaababaabbababbaaabbbbaaababbbaaabbababbbbbbaaabbababbbabbbabaaaaaaabbbbaaabbbaababbbabbabababaabababbbabbaaaaabbbaababbbbabbbabaababbbbaabbaaabbaabbabbabbbbaabaabbabbaaababaababababaaaabbabbabababaaababbbabbbaabbbaaabaaaabaaabbabbbbaabbaabaaabaabbaaaabbabbbaabaabaaabbabababbbbbaaabbbbabaabbabbaabbbabaabaaabbaabbaaabbbabababbabbbbbaaababbaaababbabbbbabbbaabbaaabaaabbbbabbabbbbaaabbabbbaababaaabbaababbbaabaaaabababbaabbbbbbbbabbabbabbbbaaababbabbbbbbbababababbaaabbabbbabbabbbaabbaaabbabaaaaabbabbbbabaabbbaaababbababbbbababbbaabbbabaaaababbbbaababbbaaabbbaaabaabbababbaabbbabababaabbaaabbaaabaabaabaabaaabababbbabaabbbababbaabbabaaaaababbaabbbbabaaabbaaabbbabaaaaabbbbbbabbabbabababbabbbbbbbaabaababaaaaaaaaabaaaabaaaabbababaaabbbabbabbbbbabaaaabbabaabbbbaababbbbaabbaaaaaabbbaaabaabbbbabaabaaababaababbaabaaabbaaabaabaabaabaaaabbbbabbbbabababbaabbaaaaaaabbaaabbababbaabaaabbaabaaabaababbababbaababbbbaabbabaababaaaaaabaaaaaaaaaabbabaaabababbabbbaaabbbbbbbaaabbbabbaaabaaabaababbbaabbbaaabbaaaabbbaabbbbaaaabbbaaabaabbbbbabbbbabbabbbbababbbabbbbbababababaababbbbabaaaabbaaabbabababbbbaabaaabaabbbabbbbabbaabaaabbbbbbabaaaabbbaaabbbababaabbabaabbabaabaababaaaabbabaabbbaababbabaaaaabbbbabbabaaaaabaaabbbbbababababbbaaaaabababaabababbababaaaaaabaaaabbbaaababaaaaabbbbbbaabbaaaaabbaaaaaaabbaabbbbbabababbbabaababbbbbbbbaaaabaabbbbaababbbbabbbaababbbbbbbbbabaabaabaabaabaaaabaaaabbbaaaabbbaaababaabbabbbbbabaaabbbbbbbbaaaaabbbbbaaaabbbbabbbbabaabbabbabaaabaabbbbabaabaaaaaaabbbbaabaabbabbaabbbbbbabbaabababaabaaabababaaaababbbaaaaabaabbababbbaabbbaabbabbbbabbbbbbaaabababaabbabbaaabbbabbaaabbbbabbaaabaaaaabaaababaaaaabbbaababbaaaabbbbaaaabbbbbaaaaaaaabbaabbbabbabbbbaaaaaaaaabbabbbabaabbbbaabbaabbbbbabaaaabbbbbbaabaabbaaaaaabbabbbbbbbaaaabbbbababbbaaabbbaaaabbbaababaababaabbbababbbaabbabbbaaaaaabbaabbbaaaabbbabaabaaabbababbbbabbabababbbabaabaabbbbbbbabbaabbbaabbaaaabaabbbbabbababababbabbbbaaabbabbbbaababbbbbbaabbaababbbbabbabbbbbbabbbaaabbababaaaaaaabbbbbbaaabbbbaabaaabaabbbbabbabaaababbbbabababbbbbbaababaabbaabbbaaabbbbabbbbbbbabababaabaaabbbbabbabbabaaaaabababbababbbbaaaaaaabbababbbbbbbbbabaabbaaaabbaabbabaabababaababbabbaabaabbbbbaabbabaaabababbbbbababbabbabbaabaaaaaaaababbbabbbabbbbaabbabbbbbbaaabaabaabbabaaaaabbaabbabbbbaaabbabbbbaaabbbaaabbbbbbaaaabbbbbbabbaaaababbbbbbbabababbbabbabaabbababbbbabaaababbbabbbaabaabbabbbbabbabaabbaaaaabbbababababaaabbaabbabaabaabbbbbbbbbbabbaababaabaaababababbbabbbbaaabbbbbaabababbbababaabbbabaaabbabbabbbaabbbbabbaabbbbbabbbaaaaaabaaaaabaababbaaaaaabbbababababbabbabaaaaabbaabaabbbabbababaababababababbbbbbaabbbaabbbaaabbbbbabbbababbbaababbaaabbbbabbabaaabbaabaaabaabaaabbbbabaabaaaaabababbbbbabaaaabbabbaaabaaabbbbbaaaaababbabbabaabaabaaabaabbabaaaaabaabbbaabbbaaaabaabbaabaabbbaaaabaabaabaaababbbaaaababbaabbaaabaabbbaaabaabababbbbaabaaaabbbaaaababbabbbaaabbbbaaaaabbbaaaababbbbaabbaabbbbaabaaabbbaaaababbbbbaaabaaababbabbbbabaabaaabbbaabaababababbaabbbbbbabbabababaaaaaaaaabbaaababbaababbabbbabaaabbbabaaaabbbbbabbaaaaababbabaaabbbabbbabbbbbaaaaaaaabaabbbababbbbbbbbbaabbbaaababababbaaaabababbbabbaaabaabbabaaabaaaabbaabbabbbbabbaabaaabbabbbbabaabbabbabbababbbabbbaabaaaaabbbababbabaabbaaaaabbabbbbbbabaaababaabbaababaabbbaaabbaabaaaaaabbabbabbaababaaabbbbbbbbaaabbbaababbabbababbbbabaababbbbababbabaaabbaaabbabbabbaaabbababbbabaabbabababaaabbabaaaaaaaabbaaaabbaaaaaaaabbabbaaabbaaaaabaaaaabbaaabbabbaabbbabbaaaabbbabbbbbaaaaababbaabaabbaabbaabbaabaabababbabbaabbaaaaaabbbbaaaababbbbabbbaaababbbbbbaabbbbaaabaaaaabbbbaababbabaabbaabbbaaaaaabbbbaaabababbaabbbababbaabbabababbaaaaabbabbaaababbaaaabbbbbababbbaaabbbaabbbababbbbabbaaabbbabbbabaabaabaabaaabbaabbbaabbaabbaaaaaabaabbabaaaabaabbbbaababaabaaabbabbaabaababaaaaaaabbababaababbaababbbbbbaaaaaaaaababbbaaaabaabbabaaabbabba