99999 91305
babaaaaaabbbabbabbaabbbabbbbbaaaababaabaabbaabbbabbbabbabababaaaaaabbabbbaaaaaabbbababbaabbaababbbbbbbaaaaaaabababbaabaabbabbabbaababbbbbaaaaaaaabbbababbbaaababbabbababaaabbaaabaaabbbbbaaabbbbaaabbbababbabbaabaabbbaababbbaaaababbaaabaaaaaababaabbbabbbaaabbbbbbbaabbaabbababbbbbababbbbbaaaaabbbbbabbabbbaabbbaaaababaabababbabbaabbaabbaabaaabbabbabaaaababaabbabababbbabbbbaabbbaaabababaaabbbababbaaabbbbabbabbbaababaababababbabbaabbbaaaabaabaaaaabbababbbbbaaaaaaaabaaabaabaaaabbbbaabbbbabaabbabbbabaabbbbbbaaabbbabbbbabaabbaabbaaabaababbbaababaaaabaaaabaaaaabbbbbabbbaaaababbabaaabbbaababaaabaababbababaabaabaaabaabaaaaabbaaababababaaabaaaabbaabaaabaabaabbbabababbbbababaabaaabbbaabbbabbabbababbabaabbbabababbbabababbbaabbaaabbbbbabababaabbabbbbbbbabbbaaabbaabaababbabaaabababaaabaabaaaabbbaaaaabbbbaaabbbbaababbabababbaabbbbbbbababbbaababbaababbbabaababaaaabbabaaaaaabaaaabaaabaaabbabbbababbbbbbaabbbbbbaabbabbbbbabbbbbbababbbaabaaabaababbbababbbabbbabbbbabababababaaaabbbabaabbbaaaabaababbabaababbabbbbbbbbababaaabbababbbbbbbbaaabbbbaaaaababbbaabbaababaabaaaaaaaaaabaabaabaabbbbaabaaaabbbbbbabaabbaaabaaaabbbaabbbaaaaaabababaaaabbbbbbaaabbabbabbaababbaabaaababaabbbaaaaaabbbaabbabaaabbaaaabaaaaabbbbabaaaababbaaaabaababbbbababbabaaaabbbabbaaaabaabaabbabaaaabaabaabbbbbabbbabbbaabaaaababbaaabbbbaabaaaaabbababaabaaabababbbbbaaaabbbabaaabbaabbbbbbabbbbaababbbbababbbaaaaababbbbbbabbbaaabaabbbaaabbaabaabbbaaaaababaabaabbbabbbbbaaababababbbbbbbaababbaaababaabbaaaabaaaaabaabbaabaaabbbabbaabbababababbabbabbaaabbaaababaaaabaaaaababbbabaaaabbbbbbbbaabbabaabbaabbbaabbbbbabbabbabbbaaabaaabbabbababbabbaaabbabbaaababbbabbbaabbabbbbbbaabbbbbaaaabababababaabaaabbbabaabbbaabbbaaaaabbabbbabbaaababbbaaabbbbabbbaaabbbbbbbaaabaaabbbbbbabbababbaaabbaabaaaababaaaababbabbbabaabaabaaabaaaabababbaaababababbbbaaabaaabaabbbaabababbbaabbbaaaaaabbbbbbbaaabbababbaaabababbaaaaababbbbbbaabaabbbbaaaaaaabaaaabbbbababaababaaaababbbaaaabbabababaabbaaababaabbbaaaaaabbbbbbababaaaaaabbbaabbabbabbaaaaabababbabbababbaabbbaaaaabaabbbababaaabbabaaaaaabbabaaababbaababbbaabbabbbbbabaaabbabbaaaaabbbbabbaaabaaabaabaabbbabbbabbbaabbbbaabbbaabbbbabbabbabbbaabbabaabbaabababbabbabaabaaababbbaaaaaaabbaaaababbbbbbaaaaabbabbbabbbabaaaaaabaaaababbbaaabbbabbaaaabaabbaabaaabaaabbbbaaaabbaaaabbabaaaabbbbbabababababbbabbbbaaaaababaabbbbabababbaabbbbbbaabbaaabaaababbabababbbbbabababaabbabbaaabaaababbabbbaababababbbaaabaaabbbbaabbbababbbbbabbbabbaaaabbaababaabbbaabbbbaabaabbaaaaabbbabbaabaabbbbaababaaaabbabaabbbababbaabbbabaaabbbababbbabbbabbabbaabbbbbbbabbabaabbbbabaabaababbbbaaaababbbaabbabaaaaaabbabaaabaabababbabbbbbbaabbabbbabbaabbbaaaaabbaaaababbbbbbbabbbaabbbbbbaaaaaaaaabbbaaabbbbbbbabbabbaababbbbababbbbbbaaababaaaaabbbaabaababbaabaabababaababaabbababbaabaaabaabbaabbbaabbbbabbaabbbbaaabaabbbabaabbaaaabbbaabaaaababbabbbabbabaabaababbbbbbbababaaabbababbbaaaaaababababbaaaaabbbababbbbabaabaaaaaabbbaababbaaaaaaabbaaababababaaaabbaababbaaababaaaaabaaabbbbabaabbaabaaabbaabbbababaaabbaabbbabaaaabbabbabaababbaaaabbaaababbbaabbbbbababbaabbabbababbababbbbaaabbbaaabbbbaabbbababbbababaaaaaabbabaaabbbbaaabaabaaaabbaaaabbaababababaababbababbabbbbbaababbbabbbbbaaaabbaabbabbbbbabbabaabbbbbbababbbaababbbabbbbbaababababbbaabaaabaaaaaabbbbaaaabbaabbaaaaaabbbbaabbbaaaaaabbbaaabbbaaaaabaaaabaabbabababaabbabaaaabaaabbbaabaabbbaabbabaaabababaaaaaaaabbaabababbbabaaaaaabaabbaaaaabbababbabababbabbbbabbbababbbbbbababbabbbbbabbbaaaabababbaaabbbbbbaaabbbabbabaabbaabbbababaaaababbaabbaaaaaaababaaababbbabababbbaaaabaaabababaaabaababaaabaaabbbaaabbbbbbabbbababaabbaaaabbababaaabbabbaaabaaabaabaaabbaabbbbbaababbbaaabbbaabbbbbbabbaaaabbaabbbbbaabbbabbbbbbbbaaaaaababbaaaaabbbabbaaaabaaabbabbabbabaaaabbaababaabbabababaabaabbbbbababbabbbbabaabbbbabaaaaabbbbbaabbbbaaaabaaaaaaaabbbabbbbaabbbabbbaababbababbbbabbaaaaabaaaabbaaabaabbbababbbaabaabbaabbabababbbababbbbabbabbbbabaaaaaaaaabaaaaaababbbabababbbbbabababaaabaabababbabbaabbbaaabbaaaabababbabaaabbabbbaabbbaababbbbbbabbbabbbbabbbbbbaabababbbaaabbbabaabbaaaaaababaababbabbbaaabbbababbaaabaabbbaabaabababbabbaaabbababbbbabbbbaabbaaabbabaaaabaaaabaaabbbbbaaaabaabbbabbabaaababbaaaabbaaaabaabbbbbaabbaabbababaabbbaabbaabbabbabbaaabbbabaaabaababbabbbbbbabaabbabbaabbaabaabbbabaaaababaabbabbabbaababbbbababaaaabaaaabbbaaaabbbbbbbbabbabbaabbbbbabbbabbaabbbbabaaaaaabbaaabbababbbbabbbabaabbbbbaababbbabababbbbbaaabbbbbbabaabaaabaaabbbaaaaabaabbabaabababbabbaaaabaaaabaabbabaabaabbaabbaaabbabbbaabababbaaabbaaababaababaaabaaaabbabbbaaababaabbabaabbabaabbbbbbaaaaababaaabbabbbaaaababaabbabbbababbaaaaabaaaaaabbaaabaaabbabbbabbbbbbabbbaaaaaabababbaabaaaaabaabbababbaabaabbbaababbabababbabaababbabbbbabbaababaaaababbbbbabbaaaaabbaabbbbbaaaaaabbaabaabbabbbabbaaabbbabbaabababababbaaabbbaaabbabaabaaababbbbbababaabaabbaaabbaaabbabbabaaababbabbaaabbaaaaabaaabbbbabababbbbabbaaaabaaaabaaabaaaabbbabbabbabbbbbabababaabbaabaabbaaaababbabbaababbababababaaaaabbabbabababaababbbbbabaaabbbaabbabaabbaaaabbbabbaaababaababaabbbaaaaabbbbbaabbaaaabbaaaaaababaaabbbbabaabbababaabbaabbabbbaaabbbababbabaaaaaaabbaabaabaabbababbbbbbaabaabaaaaabaabaaabbaaaaaabbbbbaaabbbbabbababbbbbbbbaaaababababbabaaaaabaaaaaabbabbaababbaabaaaaabbabababababbabaabbaaaabaabaaabaaaaabbaabbaababaababbabaabbbbaaabbbabaabbbbabaaaaabaaaaaaabbbbbbbbaaaaabaaababaaaabbbbaaabbabbabbbbaaababaabbaaabaabaabbaabbabbaabbbbbaaaaabbaaabbaaaabbaaabbbbaabbaabbaabaaabaaaaabaaabbabbaaababbaaaabbbaabaaababbabaabbbaabaababbbaaaababbaaababbaabbbabbbbbaaaabbbabbaaababbbababbaaaaaaaaaaaaabababbaabbabbabbaabbabbbabababbbbbbabbaabbbababbabbbbaabbbbababbabaababbabbaaaabbababbbbbaaaabbaababaabbbaaaabaabaababbabaaabaabbbbaaaaaaabbaababbaaabbbbabbbaabbaaaabbabbbaabbababbabaabbbabbbbabbbabbaabbabbabbbbbabbabbaabbababbababbaaababbabbaaaaaaaaaaabbaaababbabbbbbabaabbbaaaabababaabaaaaaababaaabaabbababbaabaaabbabaaababbbbbbaababbaaabbaaaaabababbabbbaaabaabaabaabbbbababaaabbbaabaababbaaabbbbbbabababbaaabbbbaabbababaaaaabaabbabbabaabbbaabbabbabaaaababbbababbaabbbaabbbbbbabbbbbbabaabbbbbabbabbbaaabababbaaaaaabaaabbbaabbaabaaaaaabbbbbabbbbbbbbbbbaaabbaabbbaabbaaabaaabaabababaaaabaabaabbbbaaabbabbbaaaaabbabbbbabbabaababbbbababbabaaabbaaaabbabbbaaabbbabbbaaaaaabaabaababbbaabbbbaabbaabbaaabaaaaababbaaababbbbbaaaaabbbabbabaabbaababaabbbbaababbbbbbbabbabaabbbbbbbaabbbbaaababaaabbbbaabbabbbabbababbbbbbabbbaabaabbabababbbbaabbbbbababbaaaabbaaabbabaaababbbabaaabbabbbbaabbabaababbbbbababbbbbababbababbbabaaaabbbabbaaabaaaaaabbbaaaababababbabbaaabbbabababbabbbbbabbbaabababaabaaaabbabababbbbaababababbbbbbabbbababbaaabaabaabaaaabbbaaaaaabaaaaabaaaabbabbbbabbaaabbabaabaabaaaababbbaabbaabbaaabbabbaabbbababaabaaaaaabbaabbabbaaababababaaabaaaaabbaabaaaabbbabaabbbabbabaaaaaaabbabaabbaabbbaaaaabbaabbbaabaaabaaabaaabaaaaaabbbbaaabbababbaaaabbabaabbbababaabbbbaabaabbaabbbbababbaabababbaabbbabababaabaabbaaaaaabbbbaaaabbbaabbaabbbaaababbababaaabaabbbabbbbbaabbaaaaabbbabbbbabbbbbbbbbbabaababbaaaabaaabaaabaabababbababaabaabbaababaababaaabaaaaababaababaababaabbbaaaaabbbbababaabababaaabbabbbaaaaaaaaabbbabbaabaaabaaabbbbbabbbabaabbabaaababbaabaaaaabaaabaaabaaaabbababbbbbbbabaabbbbabaabbabaabaabaabbabbbbaaababbbaaabaaabbaabbbaaabaaabaabaaabbabbaababaabaabbabbaabaaaaabbaabaabbbbaabbbbaabaabababbaaababaabbbbaabaaabbabbabbbbbabaaabbaaaaabbababaabbabaabaaabbbabaabbaaaaaaabbbabbaabbaaabaabaaaabbaaaaabbbabbbabbbababaaaabaaabaaaabababbbbbabbaaababbaabbaabbbabaabbbabaabaabbabbabbbbaababababbababbaabbbbbbaababaabbbaabaaabbbabbaaaabbbabbaaabaabaaabababbbaaaaaaabbaabbbbaaabaaabbbaabaaabbbbbaabbbbbbbabaabbbbbabbaaaabbabbbabbabaaabbbbbbabbbaabbbababbabaaabbbaaaabbaaabbbbbbbbbabaaaaabbaaabaabababaabbbabbababaaabbaaabbabbbaaababaaabaaaabbaababbaabababaaabaabbabaabbaaaaaaababbababaaaababbababababbaaaaaababaaaaabaabbbaaabbaabaabbaaabbaaababbaaaabbaaabbaabbaaaabbaaabaaabbbaabbbbabbbaaabbaabbabbaabbbaaabbaaaaaaaababaabbbaabbaabbbaaabaaaabaaabaabbaaabaaaababbbabababbabaaababbaaaabaaaaababaababbbabbbbbabbaababbaaabbbbbbbbbbbbaaababaabaaabbababaaabaaaabaaababbbbbbabaaabbbabbbaaabaabaaabababbabbaaaabbbaababaaababbaabbbbaabababaabbbbabaaaabbabaaabbbabbbbbbbbbbbbbaaaabbabbbaabaababbaaabbaaaabaaabbaaabbbaabbbbaaabbbbaaaabbaabbbababbababbbbbbaaaaaaaabbaaaaaabbabaaabbbaaaaaabbbbbbbaabbaabbaaabbbbaabbbaaababaabababbabbbbaababbbbaaabaabbbbaaabaabbabaabbabbaaaabbaaabbabbbbbbaababbabbbbabbaababaaaabbabababaabbaabaaaaaaabaaababaaabbbabaababbaababbababbbbabaaababaaaaaababbbaabbababababaababaabbbabaabaababbabbabaabaababbaaabbababbbaababaaabaabaaaabbbbabbbbabaaabaabbbbbaaaaabbabbbabbabaabaaabbbbaabbbbbaaaaaaabbbaabbaaaabbbabbbbbaabaabaabbaabaababbaababbabbaabbbaaaabbbabbaabbbbabaaabbababbaabbbbbabbbbbbabbabbababaaaababbbababaaaabbbbaababbabbabbbabbbabbaabbaabababbbaabbbaaaabbaabbabbababaaabbbbabbaaaaabaaabaabaabbaaaaaababbbbabaaaaabbbbabbbbbaaaaaababbbabaabaaaaaabbaaaabaaaaabaabbbbababaababaaabaaaaabababbbbbbbaaaabbbabbaabababbaabaabbbaababaabbbaaabbabbaabbaababaabaabbbbbbaaababaabbbaaaaaaababababaaabbbbaaaaaaababbbabbbabbbbbabbbababbbabaabaabaaaaabbabbbbbaaabbbaabbaaaaaaaaaabbaaaabaabbbabbabababaaabbbabbababbaababbaababbbbabaaababbabaaaaaaabbababaaabaabaababaaaababbbbabbbaaaaabbbbbabbabbaabbbaaaaababaaabbbaababaaabaaababbabbbabaabbaabbaaaaaabbbaaabbbababababaaaaababaababaabbbabbaaaabaaabaabbbbbababbaabbabbbaabaabbaaabaaabababbaabbbababbbabbaaabbababbabaabbabaaaaaabaaaaaaabbaabaaaabbbbaaaabababaabbbabbabaabbbbbbabbaaabbabbaabaababaabbaabaaabaabaaababaaaaaaaabbbabbabbabaaaaaabaaababbbbbbbaabaaabbbaabbabababaaababbabababbbbabbaabaabbabbaaabaabaaababbaabbbbabbbabbbaaabaabbbabbbbbbbabbbbbbabbbabaababbababbabaabbaaaaaaabaaaaabaabbbbbabbaaabaabbbaababaabbabaaabbbababbaaaabbbbaabaabbbbbbabbbabbaabaabbabbabbabbbabaaaabbbbbbaabaabbaabbaaabaaaabbbaabbaaabbaabbbabababbbabaaaaabbababbabaaababbbaabbbabbbabbaababaaaabbbabaababbbbbabbabaaaaaabbbbaababbbbabaaaaabbabbbbbaabbbbabaabbbaaabbbbababbbaabbabababbaaabbaabbbbbaabbbaababbbbbbaababbabababbaabaabbabaaabbaabbaabbabbaabaaaaaaababaabaaaaaaababbabbbbaaabbbbbbbbabaabbbabaaaaaaaabaaaaaabbaabaabbabbabbaabbbabaabaabbbbbaabbbabababbabababbbbabbaababbbaabbbbaaabbababbaababbbabbbbbaababaaaabbbbabbabaaabaabbbabaaaaabbbaaaaaaabaaabbbaabbaabaaaaabbbabaababaabbabaabbaaaaabaaaaabaaaabbaaaaaabbbaabbbbaabbabaaabbabbbbaabbabaaaabaaabbabaaaabaabaabbabbabbbbbbbbaabbabbababababbaaaabaabaabababaaabbabbbaaaaababbbaabaabbabbbaaabbbbabbbabbaaaababbbabbaaaaaaabaababbbaabbabbbbaabaaaabbbbabbbbbbbabbbbababbabbababaababbbabbabbbaabbbabaaabbbabaabbabaaaaaabbabaabbbababaaaaaaababbaababbaaaabaaaabbaabaabbabbababbaaaabbabbaabbbbaaabbbaabbaabbaaabbabbaabbbbaabaabaabbaababbbabbabbaababaabbaaaaaabbabaabbaabbbbaababbababbabbbbbbbbaaaabaaaaaabaaaabababaabaaababbaabbaaaaaababbaabbbaabaaaabbbabbaabbbbbababbabbababbbbbbbaaababbaaaaaabababbaaaabbbaabbbabbbaaaabababbbbbabaaaababbbbababbbbbaaaaababbbababbbbaababbaabbabbabaaababbbaaabbbaaabbaaababbaabaababaabaababbbbaaaaabbababababbabaabbaabababbbabbbbabaaaabbabbaaaaaababbaaaababbaaabbabbabbbbbbbaaabbbaabaabbabaaabaabaaabbbbaaaabaaaaaaabaabbaabbabaaaabbbaabbabbbbaabbaabaaababbbababbbaaabbabbbbabbabbbabbbbbbaababaabbaababaaabbbaabbbbbababbbbaaaaabaaababbabababbbaaaabbabaababababbbbbbaabbabbabbaaaabbbbabbbabbbbabaaaaabbaaaabbaaabaabababbaababbaaaabbaaaabaabaaaabababaaababbabbabaaabbbabaaabbbbaabaaaaaaabaaaaaaaaabaaabbbaabaabbbaabaabbabbbabbbaabaaaabbbababaaaaaaabaaaabababbaababbbaaaabaaabbbaabbbbabbababbababaabaabaababaaabababbbabababbbbbbbbabbbbbbbaabbbbbbabbaabbabaabbbababbaabababbbabbbbaabbbbbabbbbbaaabbabbbabbbbaaaabbaaaabbaaabbabaabababbbabaaabbabaaaabbabaaababaaabbaaaaaaabbabababbbabaaaabbbbaaababbaabababbabbbaaabbaaaaaaaabbbbaaaabaaaabaaaabaabababbbbbabbababbabbaababaaaabbbbabaababababbbaaabaaaabbbbbababaababbabbaabbaaabaaabaababbbbbbbbabbaaaaabaabbabbbababbaabbaaaabbababaababaabbaaababaabaabaaaaabaaabbbbbaaaaababbbbbaaabaaaabbaaabbbaaabbbbaabababbaaabbabbbababaaaabbbbbabaaabbbbbbbaaaabbabaabbbabbbabbabbbaababbababbaababbbabababaabaaabbabbbabbbbbabbaaaabbaaaabbbbbbbbabbbaabbbbabaaabbbbabbbababbbbabaabaabaabbbbbbaabababbaaaaabbabaabbaaaabaabbaaaabaaaababbababaaaabbbababaabaabaababbbbbaaabababbaabaabaaabbbaabbabaabbbbbabbbbabbabbaaaaabbbbaaabbabbbaaaababaabbabababbabbaabbaabbabbabbabbaabaababaabbaabbbabbbbbbbbbbbabbabbbababbbabbabbbaababaaababaabbaaabbabbababbaabbababbabbabbbbababbabbbaabaaabbabaabaabbbbbabaaabbaaaaabbbbbababbabaabababbabaabbaaaaabbabbbbbaaabaabaaaaababbbbabbbbaabbbbabbabbbbbbaaabaababbabaabbaaaaaabaabababbbabbbababbbababbabbabababbabbbabbbbaabbbabbaabaaababaaabaabbbabbbbaaabaabaaaaaaaabbaabbabaaaabbaaababaabaabbbbabaabbbabbbbabababbababbaababababbbaabbaaaabaabaabbbababaaabbabaabbbabbababababbabaabaabbaaaabbbbbaabbbbaabbabbbbababaababbababaabbaaabbbaaaababbbabbbababbabaaaaabbbabbbaabababbabaaabbbbaabbbbaaaabaabaabaababbaaabbbaabbaabababbaaabbabbbbbababbbaaaababbbbaaaaaababbbbbaababaaaaaabbabaaaabbbaabaaaaababbbbabaaaaaaaaabbbbbaabbbaaabaabababbbbbbabaaababaabaaaaaaaaaabababbaaaabbaabbbabbaabbaaabbbabbbbababbbbaabbbbaababbbbaaabaabaabbaabaabababbababaaaaaaabbbaabbababaabbaaabbababbbababaaaaabaaaababbabababaabaabbabbabbaabaabaabbbbaaaabbaaabbaaaabaaabbbbabaaabababbbbbaaabbaaaaabbbbaaabbbbabbbbbbbaababbabbbbabbbbbabababbabaaabaaaabababaaaaababbaaabbbbbaababaabbaabbbabaabaababaabbbbbaaabbbababaabbabbaabbabbbbbabbababbbabbbbbaababbbabaaaaaaaabaababbaabaaaabbbbbabaaaabaaaaaabbbabbaaaaabbaaaaabaaaababbbbaabaaabbbabbbabbaabbabbabbbabaaaaaabbabbbbbababaabbaabbbbaaaabbabbbaaaabaaaaaabbbbabbbbbabaabbaabbaaaaabaaabbaaababaabaabbbabbabbbbbbbabaaaaaabbbaaaabaaabaaaabbbbaaaabbabbababaaaabbababbabbabbbbaabbbaababaabaabbaaaaabbbbabbabababaaabbaaaaabbbabbaababbaabbbbbbbbaaaaabaababbbbaabbbbbbbbbaaabbaabbbbababbbababbbbbabbbbbbabbabbbaabbaaaaabababaaaaabbbbabbaaabaabbababbbbbbaabbbbabbabbbaaaababbaaaabbabbbabaaaabbbabbbbbababbabbbabbbabaaabbbbabaabbaabbabbababaabbbabaababaaaaabaababbaabaabababaabaabbbbaabbaabbaaaabababaaababbbaabbbbabbaaabbbabaaaaaaaabbababbabaabababbaaababbabbaaaabababbbabaaababaaabbabbbabbbabababbaaaabbbbbbbaabaaaabbababbbbababaaaabaaaaaaaaabaababbbabababbbabaaaaaabbbbabaaaaaabbbbabbbbbabaaaaaaabbbaaaaabaababbaabbaaababbbaabaabbaabbabbbaaaabbbbbaabbbaabaaabaaaabbbbbabaabaaababaaabbaaaaabbbbabbabaaababaaaaaaabbababbabbabbbabbbababbabababbababababbabaaabaaaababbabbabaabbbbbabbabaabbbbabaabaaabaaaaabbbbbbbabaaabbaaaaabbbbbabbbbbaaabbaababaabbaababaabbabababbbababaabbaaababbaaaaaabababbbbaabbaaaabababbaabbabaaababbbababbbabbaababaaaaabbbaababaabbbaaaababbbbaaabbabaabaabbbbabaabbbbaababbaaabaabbbababbbbbbaaaaabbbabaaaababaaaaabbbbbbabaababbbaabaababbabbbabbaaaaabbbababaaaaaabbabbbaabbbabbaabaaaaaabbbaaabbabaaaaabbabababbbaabbabbbaaaabaaabababababababbaaabbbabaaabbaabbbbaaaabbaabaaaabbbabbbabaaaaaabbaaaaabababbbabbabbbaabaaaabbabaabaaababababbabbbbaaabbbbaaaababbbaaabbbbaaababbbbbaababbbbababbbabbaababaaabaaaabaabaabaaabbbbbaabababbbbabaaabaaaaaaaabbbbabaabbababbbbaaaabbaabbababbaabbbbbbababbababbabaaababbabbabbbaaaaabbbaabbaaababbabbbaabbabaaaabbaaaaaaaabbaaabaabbbbaaabaababaaaababbbabbbbbbbbaabbbabbaabbbaabbbaabaaabbbbaababbaabbaaaabbbbbbaabbabaaaabbaaaabaababbbbabaabbabababaaabaaaabbbbbabababbaaaabbbaaaaaabaabbaaaaabbaabbabbbaaaababbabbabaabbbaabbaababaaaaaaabbbabaaaaaabbaabbaaaaaabaaabaaabbaaaababaaaabbbbbbbaabbabbbaabaabbaaabaaabbbbbabaabbababaaaababbbbabbababbbaabbbbbaabbabbaaaabaababbbbbabaabaababaaaabbbaaaababbbbbbababbaababbbababbbabbaabaabbaababaaaabbbbabababaabbbababbbaabbaaabaaabbabbaaabbaaabbbbaabaaabbbbbbabbabbbaabbababbbbaababaababbabbbbbababbbabaaabbbbaabbbaabbbbabbbbabbababababbaabaaabbbabbbaabaaaababaabbbbbabbabbaabbbabbaaaaabababbbbaababaaaaabbbaabbbabbabaabbababbaabbabbbababbaabaaabbaababbaabaaaabbabaabaababbbbaababaaaaabbaabbabbaabbabbabbbabbbbbbaabbaaabbaaabaabbbababbababbaaabbbbbaaabbabbbbababaabaaaabbbbbbaaabbbaabbababbbbbbbbbbbaaaaaaaaabaaabaabababababaabbbbbabbaaaaaaababaabababbaaaabababbbabbabbabaaabbbbbaababbaaaababbabbaabaaabbababbaaaabaaaabbaabbbabaaaaaaabaaababbbababababbbabbaabababbbaaabaabbbabbbabbabbbabbabbaabbbabaabababbbbbaaaabaaaaaaaaabbbbabbaaaaabaaabaabbabaaaaabaaabbbbabbbababbbabaababababbaaaabbaabbababbabbbababababaaaabaaabababbabbbbaabbaabaabaabbbbbbabbbabbabaaabbabbabbabbbbaaababbaaabaaaaaaabbababbbabaabbbbbbbaabbbaaabbaaaabaaabbbabbbbbabbabbbabaaabbbbaabbbbaaabababbbabaabbabbbbabbbabaaababbbaaaaaababbabbabbbaaabaabbbabaaaaaaaaaabbaabaabaabbabbabbbbabaababbbbabbabbbabbabbbbabaaabbaabbbababababbaabbabaaaabbbbbbbbbabbabbbaaaaaaaaaababbbbbababbbabbbbabbabbbbbbbbbbbaabbbaabaabbbbabbabaababbbabbababbbabbbabababbaababababaababaaaaababbbbabbbbabbababbbaaabaaabbbababbbbbaaabbbbbaaaaaabaabababbaaaaabbbabaababaaabababbbbabbbaabbbbabbaabbababbbbbbbabaabbbbbbbbbaaababbbbbbbbabbbbbababbaaabbaabbabbbaaabaabbaabbababababaabbabbbbaaababbabbabaaaabbbbbaaaabbabaaababbabbabaaababbabbbabaabaabaaababbaaababbaaabbaaabbbaababaabaabababbaaaabbabbaabbbbaaaabbabbabbbaabaabbbbaabaabbbababbbaaaaaabaaabbaaaabbbabababaababaaaababbabbbaababbababaabaabbaabbbbbbbbabbabbaaabaabaaaabbaabbbbbbbabbbbbabbabbbaaaabaaaabbaaaaabababaabaabbaabbbabaabbbabbaabaaaabbaabbaabbabbaabbaabaaabbbabbabbaababbabbbbaabbaabbbaaabbbaaabbaabaaaaaaababbaabbbaaaaababbbbbabbbbbbbbaabbabbababbbaaabbbbababababbbaaaabbabbbbbababbaaabbabababbaaababbaaabbabbbbaabbbbbbbbaaaabbbaaaaabbbbbaabbbbaaaaaaabbabbbabababbbabaabaaabbbaabbaabbaababababbbaaabbbbbbababbabababbabbbbabbababbbbbbbabbababbbaaabbbabaaaabbabababbbbbbabbbbbaabbbbaaabaaaaabbababababbabababaaaaaaaabbaabbbbabaabbaaabbaabbabbbaabbbbaababaababbabbbaabaabbaaaabbaabaaaabbabbaaabaaaaababbbbaaaaaabbbaaababbababbababbbabaababbabbaaabbbaababaaaabaaababbbaabaabbababbbbbaababaabbabababbaaaaaababbbaababbabaaaaabaabbbbbababaaaaaaabaaabaaabbabaaabbbabbaabbaaabbaabaaababbbbabbbababaababbbaabaaaaabaaabaaabbaabaaaaaabaaaabbaababbbababbaabaabaabaabbbbaabbbabaaabbaaaabaabaaaababaaaaabbaabaaabbaaaaababaaabbaabbaababbaabbaaabbbaabaababbaabbaababbbbbaaabaaaaaabaabbaaabbbbabbbaaabbbababaaabaaaabaaababaabbaabaabaabbaabbbbbbbbbbbababbbbaaabababbbabbbaabaaabbbbbaaabababbbaaaabbabbabbbabbaabbaabababbabbbbbbabaaaababbaabbbabbaabaaaabaaabbabbabbbaababaaabbbbbaabaaabbbaaaabbaabababbabbaaabaaabbaabbaaabaaaabbbaabaabbbaaaaaabbbbbbbbbbbbbbbaabaaaabbbbaaabbbabbbaaababbbabaabbbaaabaababbaababaababbaaaabbbabbbbbaaabbababaaaaaaababababbbbbabbbbbbbaabaabaaabbbabaababaabbbabbaaabbbbaaababbabbbbaabaaaaaabaabbbaaaabaababaaabababbbabbabbbbababaaababababaaabbbaabbbababbaaabbbabaaabbbbaaabababaaaabbaabaabababbbababababbbbbabbaaabbbabbbbbbaaaaabbbbaaaabbaabbbaaabaababbabbabaaaaaaaabaaabbbaabababbababaaaababbbabaaaababaababaabbabbbaabbaabababbaabaaabaabbabbbaabaaaaaabaaabaaabbbaabaabbaaaabbbaabbaabaababbbabaaaabaabaabaabbabbaaabbbbababbbbbaaaaaababababbbbababbaaababbabbaaabababbaabbbaabbbabbbababaabbaabbbaabaaaabaaabbbaabbbbabbbabbbbbaabaabaaaababaaabbbabaaaaaaaababaabbbbbbbabbaaabbababbbabaabbbababbaabaabbbbaabaabbaabababbabbabbaababbbbbaaababaaabbbbbabbabbbaabbbaabbabbababbabababbaabbaabbbaabbabbbbbaaaabbababbabbabbaaabaabbbbaababbaabababbaaaaabaaaabbbbabbbaabbabbbaaabbbabbabbaaabaababbaaaaaaaaabbbbaabaabbaaabaabbbbbbbbabbbbaabbbbbaaababababababbaaaababababbbbabbabbbabaabbbabbbbabbabbbaabbabaaaababaaaabaabbbbbaaaaaaaababaaaabbbaababbbabbbbabaaaaabaaaaabbabaaaabaaabbababaaaaaaababbaaaabaabbbaaaabaabaabaaabbababbbbbbababbabbbbababaabbabaabbbbbbaabaaabbababaabbabaaabbabbaabbbaabbbaabaaaabbbbabbbbaababbabbaabbabbaaaabbabbbaabbbababbababbaabbaabababbbababababbbabbaaaabbaaababbabbabbabbaaabaabbbbbabbabaaaabbbaaababbabbabbaaabbbbbaaaaaaaabbbaabababababbbabbaabbbbababbaaaabbbbaababbaaabbabbaaabaaababaabaabbaabaabaaaababbaaaabaabaababaaaaababbaaabbabbaabbbbbaaaabbbbbbbaabbbabbaaaaaaaabababaaababaaabbabaaaabababbbbaaabaaabaaaabbbabbaaabaaaaaaabaababababbbaabbaaaaabbbaabbbaababaababbbbabbaaabaaaabbaaaabbababbaabbbbababaaaaababbbbbbbbbaaaabbbaabbabbabbababbbbbbabbaabbbaaaabaabaabbaabbbbaabaabbbbbaaabbbabaabaabbabbbaabbbbbbbaabaabbbaaabaabaaaabbbababaaabbbabbababbabbaababaabbbbabaaaababbbabaaabababbbababaabaabbabaabababbbaabbbbabaaaaabbbabbbaababaabaaaabbaaaaaaaaaaabababbbaaaaabbaaaaabbbbaabbaaaaaaabbbababbabaaabaaabbaabbbabbbbababbbbbaababbbbabaaababbaabbaaaababbaaaaaaabaaaaabaabbabbbbbbabbbaaabbaabbaaaabaaaabaaaaabaabbaabaaaaabbaaaaaaaaababaaabbbbbaababbaaabbabbaaabbbbbbaaaaabbbabbaabbaaaabababbbaaaabbabbabbbabbaabaabbbaaaaaaabbbbaaaabbabbababbbbabaabbabaaaaaabaabaabaaaaabbbaaabbbabbbaabbabaaabbaaabaaabbbbabababbbbbabbabbbbbbbbaababbbbabaabbbbbbbbbaabaabbbbabbaabaaababbabbabbabbababababaabababaabaaabbbbabaabaabbaabbbbaabaaabababbabaabbabbaabaabbbbbabbabaabbaabbaaaaabbababbaabaaabbbbaaabaaaabaabaabababaabbaaabbbbabbabaabaababaaaabbbaabbbaabbbbbbbbabaababbabbabaaabbaaaabbabaaaabbbabaababbbabbbababbbbbbbbabbabaabbababaabbaababbbbbaaabbabbbbbbbbbbbbbbabaabababbbbbbbbabaabaabbbabbababbbbbbabbaaaaaaaabbaabababaaababbbbbabbbaaaababbaabbabaaabbabbabaaaaabababbabbbbaaabbabaaaabbbabbbabbaaaabbaaabbabababbbbaabbbbbabbaababbbbbabbabbabbbaaabaaabbbabbabaaabbababaaaabbbaabbabbbbaaaabbabbaaaabaabbbabbabbaaaaaabaaaabbbbababbbbabaaabaaaaababaaabbbaaaabaababbbabaaaabbbbbaaabbabaaabbbaaabbaabababbbaabaaabbbbbaaabbabaaabaaababbabbbabbaaaaabbbbaabbababbbbabaaaaaababbaaabbaabbbbaaabbaabababbbaabbbbbabbabbabbbbbaabbbaaababaaabbbabbabbaaabbabbbabaabbbbabbbaababbbabaaaababababaabbaaababaaabbbbbaabaaaaabbbaabbabaabaabbbbabbabbabbababbabbbbaaaababaabaaaaaaaaabbaabbbaabbbbbaabbbbaabbbbbaabaabaabaaabbabbabbabaabbbbbbabbbaaaabaaabababbabaabababaaaabbbbabbbaabaaaabbbaaaaabbbabbbaabbbbbaabbababbaabbabbaaaaaaababbbabbbaabaaaababbabbbbbabaaaaabbaababbbababbabaaaabbbabbbabbababbaabaaabbbbaabbbabbababaabaaabababaabbababababababaaaaaababbbababaabbabaabbabbabaaabbababaabbbbbabababbbbaabbaabaabbaaaaabbaababbaaaaababbbabababbabbaaaaababaabbbbbbbbbbaabaaaaabaaabaabaaabaaabbbbaabbabaabbaabbabaaaabbbbbabbbabbababaabababbbabaabbbbbbbbababaabbaaabaababbbabbbababbbbaaabaaababbbbabbbababaabaaaabbabbababaaaabaaaaababbaabbaababaabaaabbbabbbaaabaaabbabbbaabaababaaabbaaaaaabbaabbabbbbbaaaabaabaaaababbbbaaaabaababaaaaababaaaaabaaaaaaabbbababbbabbaaabbbabbbaabaabbabbbbbaaabbbbabaaababbbbaababaaabbbbbabbabaaabaabaabbaaabbbaabaababbbbaabbbaabbbbbaabaabbbbbbbbaaaaabaaaaabbabaabaaaabababaaabbbaabaababbbabbaaabaabababbbabbbabaababbbbabaabbabbbbbbaaababbabaabbbbabbbaaaabbaababbaabbbbaabaaababbbabababbbaabbabaaabaaaabbabababbbaaababbbaabbbbabaabbabbbbbbaaabbaaaaababbaaabbbaaabbbabbaaababbbbabbbbabbabaabaaabbabbbabbbabbbaababbbbbbbbbaabbabbabbbaababbaaaabaabababbbaabaabbbbabbbaaabbaababbaabaaababbbaaabbbbaaaabbbbbbabbaabbaababbaaaaabaababbababbaaabababaabbbaabaabaabaabababbbbabbabaaabbabbaaaababaabbbbbaabaabbbabbbbabbbbabbaaababaabbbbaaababbaaaabbaaaababbbaabaaabbbbbbbabbabbbabaaaaabbbbabaabbabbbababbbaabbbbabbaabbaaababbaaaababbabaababbbababababbabbaabababaaabbaabaababbabababbbabababaaabbaabbababbaaabbaaaaaaaababaaabbbaabaaaabbaaaaaaaabbabbbbbbbaaabaaabbbbbabbabaaabbbaababbbabbbbabaaaaabbabbbbaabaababbbbababbabaabbbbabbbaaabbbaaaaaabbbaababbaaabaaabbabbbabaabbbbbbabaabaaabbaaabbaaabbababaaaaaabbbabbaaaaaaaabaabbbaabaababbbabababaabaaaabaaababbabbaaaaaabbbbbbbbbbababaaabbabbabbbbaabbaababaabaabbbaabaaaabbbbbabababbaaabbbabbaaaababaabababaaabbbbabbaabbbbbbbbaabbaababbbaabaaaababbbbbabbaaaaaababaabbababaaaabaabaaabbaaaabbabaaabbbaaaaaaabbaaababaaababbbabababaababbabbabbabaabbbaaabaababaaaabaabaaaaabaabbbbabaabbababbababbbbbaaabaaaababbbbbbabbabbbabbbbabbabbbbaaabbabbaabbabbaabbababaabbabaabbabbbabbaabababaaababaabaaababbbbabababbbbaaaabbbabbbbaaabbbbbbbbaabaabaabbaaabaabbbbbabbbbaaabaaababaabaabababbbaaabbbbbbaabaabaaabbabaabababbaabbaabbababbbbaabaaaaabbabbbbabaaaaabaabbaaabbaaaaaababaabaaaaabbbabaababaaababbabbaababbaaababbbbbabbbaabaaababbbababbaabababaaaaabababaaaaaabbaaaaababbababaabaaabbbaabaabbaaaaaaaabbbaaababbaaaaaaabaabbaaababababbabbaaaabaaabaaaabbbaaaaaaaababababbbaabbbaaaabbbaaaabbabaabbbabbbabababababbaaaaaabbbbbbabbabbaabbbbababaabaabbaabbbababaababbbbabbbbbabababbababbbaabaaabbbabbbbabbbabbaababaaaabaabaabaaaabbbbbbaaabbabaaaabbbbaabbaabaabbabbbbbbbbaaabbbaaaabbbbbababbbbbbbbbaaaaabbaaabbbbababbbabbbbbabababaaaabbaabbabbbbbbbbabaabbbbbabbaabbbaabbbaaaaabaabaababaaabbaabbaaaaaabbbbaaaabaaaaabbbbababbbaabbbbbbbabbbaababababbbabaabbabaaaabbabbaaabbaabaaababbbabbbbbaaabbaabababbaaaabbbaaabbabbbabbbbbbbaabaabababaaaaaaaababbabbbbababbbbbbaababaaaabbabababaabbaabbababbbaabbaaaaaabaaaabbaaababaaabaabaabababaaabaabaabababaabbbbbabbabbaaaabbbbbbaaababbabbbbabbbbbabaabbbabbabbbaaaaabbaaabaaaabbaaaaabbaaabbbbaabbbababbaabbbbaababbabbaabbaaababaabaabbaaaaababaaaaababbbaabbabaababbbabaabbabaabbbabbaabbaaaaaababbaaaabbbbababaaaaaaaabbaabaaaababaaabbbaaabbbbabbabbaabbbbbbbabbbababbbbbaaabbabaabbbbabbbbbbabbaabbaabaaababbabaabababbabbababbbbbbbbaaaaaaaaaaaababbaaaababababbababaaabbbabaaaaaabababbbaaaabbbabbbabbaabbabababaabaaabaabaabbbabbbabbbbaaaaabbbabababbabbabbbaaabbaabbbbababbaaaaabaaababbabbaaaabaaabbbaaabababaaaabbababbbbabbbbbababaabbbbbbaabaaabbbbbaabbbababaabbaabbabaabbbaaabbbbbabaabbaabbbaaaabaaaaaabaabbababababbabbbbbabaaaabaaaaababbaabbbbbaaababaababbabaaababaabbbabbaaaaababbbbaaaabbabbbbabbaabaabbbbbaabaaaababaaabbabbaabaaaabbaabaabbbbbababaaababaabbaaababbbaabbababbbababaabbabaaaaabaabbaaaaaabaabbaaaabbaaaaabbbbaabaabbbaaaaabaaaababaabbbbbabaabbbaabababaabaabbabbbbabaabaaabbababbbbbabbbbababbbbbabbabbbbbbbabaabbaabaaaabaaabbababaabbaabaabbaaabaaababbaaaaababaaabababababababbaaaabbbaabbaaaabbaabbbbabbababbabbabaabbbabaaabbbabbaabbabbabbabbabaabaaaaabaababaaaabbbbbabbaaababaaabbabaaaabbbabbbbabaaaabbabaabbaaabaaabbabababbbbbaaaabbaaaaabbabbbbaaaababaaaabbbbabbbaaabaababbbaabbbbaaaaaaabbbbaababbabaaabbaabaabbaabaabbaabbbbbabbabbbbaababbbbababbbbbabaabbaabaababbbababbabaabbbbbabbaabbbababbababaabababaaabaabaabbaaabababbaaabaababbbbaaaaaaababaabaababbaaabaaaabbababbbabaabaaabbbaaabbaaabaabaababaaababaaabbaabaaaaababbababbaabababbabbbbbbaaabbabbbbbabbbabababbaaaaabbbbababbababbbbaaaaababbabbababbaaabbbbbaabbbaabbaabbbbaaaabbabbbabaabbaaabbbabbbbbabbabbaabaabababaaabababaabaabaabbbabaaaaaabbaaaabaaabaaabbbbbbabbbbbaaaaabbaabaaaaaababbbabbabbbaaaabbbbbbbbabbabaaabababbababbaabbbabaaabaabbabaaabaabaabbababaababbabaaabbabaaaaaabababaaaaabbaabbbaabbaabbabbaaaababbbabaaaabbbbaabbbabaabbbbbababbababaaabaabababbbbabbbbaabbababababbbbabbbaababbabaaaabababaaabaabaaaaabbbbabbbbabaaaaabbaabababaaaababbabaabbbbbbbbabbbbaabaaaaaabaaabbaaaaaaababbaaabbbababbbbabaababaaaabbaababaabbaabaabaaabbabbbaabaaabbbaabaaaabbabaaaabbabbabbbbaaababbbaaabbabbaababaaabbaaaabbaabaaabaabbaaabaabbbababbbbbbbbbaaaababaaaabbbbabaaaaaaabaabaabaaaaaabbbabbbbabaaaababbbaaaaabaababbbbbbbaabbabaaabaaabbabbaabbbbaaabaaabbbbabbbabbaaabbababaaaabaaaaabbbbbaababbbbbbbbabaaabbbabaaabaaaabbbaaaabbaaabababbbaaabbbbbabbbaaababaababaaaabababaaaabbbababaabbbaaaabbbaabbbabbaabbbaaabaaaaaababbaaaababaaaabaaabbabbbaaabbbbaaabbbabbabbbababaabaaaababababbaabbbabbbaabaabbbaabaaabbbaaabbabbabbabbaaaabaaabbaabbbaabbbabbbaaabbaaaabaaaaabbbabaababbaaaaaabbbaaaaabaabbabbbbbaabbaaaaaababababaabbabbabbaaabbbbbbaaabbbaabaabbababaabbbbbbbbbbbaababbabbabaaabbaabbaabbbabbbbaaaabbbbbbaaabbaaababbbbaababbbbabbbaabaabbbbbbabaaabaabaabbbaaabbababbbbaaababbbbbabbbbbabbabbbbaabbaaaabbabaababbbaaaaaaabababbaababbbabaabbbbabaaabbababbbababbbabbaabbbbbbabbababbaaabbbbbaabbbbbbabbaaababaabbbbabbababababaaaabaabbbaabababaabbabbaabaaababbabaabbbabababaabbababaaaaabaaabbbbbbbbabbabbbbaaaaaabbaaabbaabababaaaaabbabbbabbbbaaabaaabbabababbaaabbaababbbabbaaabbabbaaaaaababaaaaabaabbabaabaaabaaabbbabaaaaabbbaabababbabaabaabaaaaaabbbaaabbaabbaabbabaaababababbabaabaaaaaaaabbbbaababbbaabababbbabbabbababbaaaababbaabbabbabababaabaaaabaaaaabaaaaaaababaabbabbbbaabbbbbbabbbaaaaabbbaaaabbbbabbbbaabbbbbbbbaabbbbbbaaababbaaabaaaabaabbbbbbaaaabaabbaaabbaaaaaabbbabaaaaababaabababbabaabbaaaababbbabbbbabbbbaaabaabaaaaabbbbbbbbaabbbbbbaababaaabbabaabbabaaaaabaaaabaabbbbbbabababbbaabbbaabababbaaabbaabbabbabababaabababaaaaabbaaabaaaabbbaaaababaaaababbbbbaaabaabbabaaaaabaaaaaaabaabababaababaaababbbbaabbbbbaaabbabbaaaababbbbbabbbaababbbbbababbbbaaaabbbabbbababbbbabaabaaaaaaabaabaabbbbbbaababaabaaaabbbbabbbbbaabaaaaababaaababbaabbabbbabbbabbaababaabbabaabaabaabbbbbabbbbbbbbabbbbbabaababbabaaaabaaaabbbbaabaaabaaaaaaabbbabbaaabaababaaaaabaaaaabbabaaabbbababababbbbabbaababbbbaaababababbabbabbbababababaabbaabbaaabaaabaaabbbbbbbaabbbbbaaaabaaaaabbabbbaaaaabbaaababababbbaaaabaaaababaabbbbabbaaabbbbbbababbabaaabaababbbabbbabbabbbaababaaaabaaaababaaaaaaabaaabbabaaaaaababbbabbbbabbabaabbbbaaabaaaaaabbbbaaabbbababaabaababbaababbbabbbaabbaababaabbaababbabbbbbbbbaabababbaabaaaaaaababbaaaaabbbbaabbaaaaaaaaaaabbbaaabbaabaabbababababbbabbabbbbabbabbababbbaaababaabbbbbbaabbabaabaaaaaabbbbbabaabbbbbaaaaababababaabbabaabaaaababaaababbbbbaababaaaabababbbbabaababbaaaabbbbbbaabbaaaaabbbbaabababbbaaabababbbbabaaaabbaabbbabbbbabbaaaabbabbbabaabbbaabaaabababbbaabaaaaaababbbbbbaabaaaaaaaaaaabbaababbaababababbabaabaabbaabbbbaaababbbbbbaabbaaaaababbaaabbbbaabaabbbbbabaaabaaaaaabababbaabbbbababbabaabbbbabaaaaaaabaababbbbababaaaabababbabbbbbaabaabbbbbaaabbaabaaaaaaaabbbbbaabbbbbbbbaaaabbabaaabaabaaabbababbabbabaabbbbbbbbaabaabbaabaaaabaabbaaaaaaabbabbbabbbbaabbbaaaaaaaaaaababbabbabbaabbbabbabbaaaaabaaaabbaabbaabbbbaaaaabbabbaabaaaabaaabbabbbbabaaabbabbabbbabaabbbaaaababbbbbbbbbaabbaaababbbabaaabbbbbbabaaaabbabaababaabbbbaabbabbaabbbabbbbbaaababbabaabbabbbbabaabaabbbbabaabaabbbabbbaabbbbaaaaabaaabbaababbababaaabaabbbbaabababaabbaabbbababbaaabbaababaaabaaaabbababaaababbbaaaabbbbaaaaaabbaabaabababbaaababbbbabbbabbbbbbbbababbaabbbbbaaabbbaabbbbbaabaabaabaabbbabaaababbbbbabbaabbbabaaaaabbbaababbaaababbbbbabbabbaababbbabbbbbbbaaaabbaababaaabbabaababbaaaabbaaababbaaaaabbabaaabbbaaababbabbbbaaaabbbabbbbaaabbbbbbababbabababbbbbabbbaaaabbabbbabbbaaababbaaabaaaabbbabaaaaabaababaabbbabbabbbababbabbbabaabbbaabababbaabaaaaababbaababbbbbbabbbabbaabaaababbbbabbbbabbbbabbbabbbbbaaaabaaababaaabaababbabaabaaaababbbbbbbaaaaaabbaababbbaabbbababbbaababbbabaaababbbbabaaabbbbbbbbabaaaabaababbaaaaaaabbaaababaabaaababbbabaaaaaaaaababaababbabbbbbbababababaaababbabbbaabaabbbabbaaabaaaaabbababbbbbbabaaabbbabbbbbaabbabaaaabbababbabbaaaabbbabbaabaabbbbbbbbbbbbabbabaaababaabbabbbaababababaababbbbbbaabbbaaababbaaaababaaabbabbbbabbabbaabbaabbbbabbabaaaaaabbbababaaabbbabbaaababaaaabbabbabbbbabbaababbaaaababbaabbaabbbbaabbaaaaaabbbababaaaabbbbbabaabbbabbbabbaaaabbbaabaaaaabbbaaaaaaaababababbbbabbbbaaaaaaaaabaaabbbbbbbbaabaababaabbbbaabbabbaababaaabaaababbbaabbbaaaaaabbabaaabaabbbbbababaabaaabbaabbaaaaabbababbaababbaaaabbbabbaababbbbaaaabbababaabbbaaabbbabaababbaaaaaabababaaababababbbabaababbbaaabaaaaabbaaaababbaaababbaababbaaaababbbababbbbaaaabbbaaabbaabbabaabaaabbabbaabbbbabbbbbbabaabaababbabaabaaaababbbaaabaababbbbaaabaaaababbbbbababaabbbaaabaababbbbbbaaababbbbababbbbabbbbbaaabaaabbbbbabaaaabbabbaaabbabbbabaabbaaabbaabbbbababbbaaabbbbbaaababbaababbbbbbbbaaaaaabaabababbabbbbbabbbbbbaaaaaaabbbaaaaabbaaaabbbbbbaabaababababbbabbabaaabbbbbbababbbbbbaabbbababbbabbbabbaabbabbaabababbaaabbabaaaaaabbabaabbbbabaaabbbabababbbbaaaabaaaabbabbaaaaaaaabaabbaabaababaabbbabbbbbaaaaabbabbbabababababbbabbabbbaaaaaaababbabbaaabbabababbbbbaabaabaabbbbbaabaaabbbbbbabbbbbbbaabaaaaaabaaabaaaababababbaaaaabbbabbbbaabaabaaabbbbbaaabbbbabbaaabaaabaaaaaabbaabbabbbbabaaababaaaababaaaabbbbbbbbaaaabbaababbbbbbabbababaabbbaaaabaaabbbbbabaaaabbabaaaaaabababbabaabbbbaaababbabbabababbaaabbaababbbbbabbbbaabaaabbbaabaaaaabbbaabbabbbaabbaaabaaabbbbaabbbbbaaabaabbaaabaaaababbaabbabbbaabbababbaaabbbbabbabaaabbaaaaaaaaabbaaabaababaaabbbabbbbaaabbbbbabaabaabaaabbbaaaabbbaaaabababbabbabbababbababbbababbaabaaaabbbbbaaabbabbaaababbbbbbbabaaaabaababbbabbaabaabaabbabaaababaaaabbbbbbbaabaaababbaaaaaabbbbabaaabbabaaaaaabbababbabbbabbaabbbbaaabbbababbbbaaaaabbaaabbbbabaaaabbabbbbbabbaabababbaabbbabbabaababaabaaabbbabababbabbbbbaabbbbaabbabababbababaabbbbaabbbbbbababbaaabbaabababbabaaaaabbaabaabbbbaaaabbabababaaabaabbbaababaaaaababbbabbbbbbbabbaabbbaaababaabbababbbbaaabaabaabbabbaababbbabbbbbbbbaaabaaabbbabbaaababaabaaaabbbbabbbbabbbabbbbaaabbbabbababbababababaababbaabaabababaaabbbbbaaabbbbabbbaaabaabaabbbbbaababaabaaabbbabaabbaaababababaaababbababababbaaaabbbabbabbbbababaaaabbbabbababbabbababbbabbbbbbbabaaabbababbaaaaabbaabaababaaabaabbabbaaaababbbbaabaabbbabbbbaaaaababaabababbbbaabababbbababbbbaaabbaabaaabbaaaaabbaaabbbaabaabbbaabbbaaaabbabbbaaabbaababaabaababbabbaaaaaabaaaabaabbbbaaaaabbbbabbbbabbbababaabbbbabaaaababbbaabbbaaabbaabababbbbbbbbababbabbbbaaabbbaaabbaabbabbabbaabbbbabbbabbbabaaaabbbaaabbbabbaaaabaaaaaaaabaaaaaaabaababaaaabbababaaabbbbbaabaabbbabababbbbabaaabbabbabbababbbabaaabbaaaaaaaabbbbbabbaababbabbbabbababbbaaababbbbbaaaabbabbabaaaaaaababbabbabbaabaaababbabaabbabababaaabbabababbaaaaabbbaabbaaaabaabbabbabaabbaaabbabbbbaabababbbaabaabaababbaaaaabbbabaaaaabbbbabbbaabbabbbabbaabbabbbbabbabbaaabbbbbaaabababababaababaabababbabaaabbaababaababbbaaaaaabbabbaaabbaaaababbaaaabbaabbbabaabbaaaabbbbaaabbbbaabbbbbbbaabaababaaabbaaabbbaababababaaabababbaabaaabbaaaabababaaaaaabbbbaabbababaabbabbbabbbbaabbababaaaababbabbbababbbbabaabbababbbbbbaaabaabaabaaaabbaaaaaaabbababbbaaabababaabaabbbbbbabaababababbababababbababbabaababbbabaaaabaababbababbaaaaabbaaaaababbbababbaababababbaabbbaaabbbbbbbaaabbaabbbabaabbabababbbbabbbaaabbabbbaabaababbbaabbbabbbbbabbaabaaaaaaabaabaaaababbabaabbaabbbaabbbbaabbbbaaabbbaaabaaabbbabaababbbaabbabababaaabbbbababbaababaabaabbbbbbbbbbabbaaabaaabaaabbbbbaabaaabbabbbbaababbbabbaababbbbbaabaaaaabbbbaaabaababbbaaababaabbbabababaabaabaabbaababbbababaabbabbbabbbbaaabaababaaababbabbbabbaabbbaaabbabaaababaabaaaababbabababbbaaabbbabbaabbbbabbababbaaaaabaabaabbabbbaabbaaabbbabbbaabbbbbabbaaabbaaabaaaaaaabbaabaaaaaabababaaabaaaabbabbbbababaababaababbbabbbbbaaaabbbbbabababaaabbbbbabaaaaaaaaaababbabaababbbbababbbbaabaaabaabbbbbbaaabbababbbabbabbbabababbbbbbaaababaaabbababbabababbabaabaabbabbabababaabbabbbbaaaabaabbababbbbbbbbbababaabbbabaabbaaabbbababbbaaaaabbababaaaabbbabababaabbbbbbabaaababbbbbbbaaaaabbaabbaabaabbbaabbabbbbbbbbaabbaaaaababbbbbbbbbababbbabbabaaabaaaabbababababaaaaaabaabbbbbbbaaabbbabbbbaabaababbabbabbbbbaabbabaaabbabbababbbbabbbbaabbababaabaabaaaaababaaaabbbbbabaababbaaababbbbbabbabaaaaabbbbbbbbbbbbaababaabaabbaabbaabaabaabbaaaaababbbaabbbabbbabaaaaababaabbabbbbabababaaabbbaaaaababbaabaaabbbbbaabaabbababaaaaaababbabbbbababaaabbbabbbbbbbaaaaaaabbabbbabbbabaabaabaaabbbbaaababbababaabbbbaabaaaabbbbbbabbaabbbbbababaabaaaaaabaaaabaabaaabbaabbaaaaaababbaabbbbbbaaaabbbaababbaaabababbbbababbaaaabaaabbababbbbbbaaabbabaaabaaaaabbabbaaaabbababaaabbbbbabbabababaaaababaaaabaabaaababbbbaaababbbbaababaaaaababbbbbaababbbbaaaabbabbbbbabbabbaabababaabbabbbbbbbabbaaabbaaaabbbabbababaaababaabbbbabbabbababbbabbbababaaabaabbbababbabbbabbbbabbaaaaaabbbbbbabababaabbbbbaaaaabbaabbbaaabbaaaabaaaaabbbbbbabbaaabaabaabaaabbabbabaabbabbbbaaaaabaaababbbabaaaabbbbabaabaaaaaabababaabbbabaabbababaabbbabaabbabbbabababbaababbaaabbaabbabbabbbaaabbaaabbbabaabbbabbbbbaababbbabbabbababbabbbbaaaabbbbababaaabbbaaaabbbbbbbaaababbaabbaabaaabbaababaaaababbbabaabaaabbbbaaababababbabaabaabbbbabbbbbababbaaaababbabaabaaabbbbbbbbbaababaaababbbbbabbabbabbbbabaabaaabbbbbabbaaabbaaababaaabaaabbabababbbabbaaababbababbbaaaabbaaaababbaabaabbbabbbaabbbbbabbbbaaababbbaababababbaabbbabbbabbbbbbbbabbbbbabaabaabbbaaaabbbbaababbbbabbaaaaabbbbbbabaaababbbbbbabbbbbaaabaabbaabbaababbaaaababbbbbbabbabbbabbaabbbbabbaaaaaababaabbbaabaabbbbbabbbaabbbbbabaaaababababababbbbaaabbabbbbbababbbbbbbbbabbbaabbaababbabaaaabaaabbbbbaaabbbbbbabbbabaabaabbbabbaaaababbbabbbbbabbbbbaaabbaaaaababbbbbbbaaaaabbbbaaabaabaaabbbabbaaababababbabaabbaabbabbaaababbbaaabbbbababbbbaaababaaaabaaaaaabaaabbababaabbbabbbaaabbbababaaaaababbaabaababababbbbaaaaabbaaaaabaaaabbbbbaabbababbaaaaabbbbaabaababaabbbbbbbbaaaaaabbbbaaabbbbbabbaaabaababbbbaaaaaabababbbbbbbaabbabaaabbababbbabbbaaabaabaabababaabaaaabbbbbababababaaabaabbaabbabbbbabbbbbabbaaaabbabbbabbbaabababbbbaaabbaaabababaabbabbbbaababaabaaaabbaaabaabbbbbaababbbabbaababbbaabaabaabbbbbaaabaaaaaaababbabaabbaaabbabbaabbaabaaabbabaaaaababaabbaaaaabaabaababababababbbabbbbbaabbabbaaabbbaabbaaaabaabababbbaabaaabbababbbbbbaabbbbbbbaaabaaabbababbbbbaababbbbaaabbabbabbbbabbbaabbababbababbaabbabaaabbabbbaababaabbabbbaababbabbbbabbbabbbbaaaabbabbbababaabbabbbabbabaaaaabababbaaaaaaababaabaaaabbbaaababbaaaaabaaaaaabaababaaabbabbbabbbabbbbababbbbaaabaaaaaaaaaabbabaabaabaaababbababbaababbabbbabbaababbbabbaabbaaabaaabaaaababababbbabbababbababbaaabbabbbbabbaaabbabbbababaaababbabbaabbaabababaaaaabaaababaaaabababababbbbaabbbaabbaaabababbbbaaaabbbaaaaabbbaaaabbababaababababbabbaaababbaababaaaaaabbabbbaababbbaababbaabbabaaaabaababaaababbaaaaaabbabaaabbbbbbbbbbaaaaaaaaababbaabbbbbabbabbaabaaaabbaaaaabbaaaaaaabaaaabbbbaaabbababaaaabaababaaaababbbbabaaabbababbabaaaaabbaababbbbaabaabbaaaabbbbabbaaaaaaaabbaaaabbaaaaabaabaaababbbaaababbbaaaaaabbaabbaabbbabaaababbabbaaababbbaaabbabbbbaabaaabbbaaabbbabbbaabbbbababbaaabbaaaaaaaaabbbabbaaabaaaabbabbbbaaabbbbbaaaabaabababbbaaaaaaaabaabbbabaabaaababbaabababbbbbaaaaababbbaaaabbababbbbaaaabbabaaaabababaaaabaababbbabbbabbbababaaaaaaabbaabaaaabbaabbbbabbabbababaabbaabaabaaaaaabbbbbabbababbaaaaabbaabbabbaabbbbbaaaabababbbbbabbaababaabbbabbbbaabbaaabaaaaaaababaaaababaabaaabbaabbbbbaaabbabaababbaabbbbbaabbababababbababbabbaaabbabbaaaababababbbaaababbaaaaababaabaaababaaababbaaababbabbbaabbabbbbaabababbbabbabaaaaaaaaaabaaabbbaaaabbbbbbaabaaababbbababababbbabaabaabbbbbaabaaaabbaabaabbaaababaaaabaaabbaaabababbabbbbbaaababaaaaaaabbaababbabbabbaaaaabaaabbbabababaababaabaabbbbabbabbabbbbabbabaabaabaababaababaaababababaabbbababbbbaabbbbbaababaabbbaabababbbbbaabababaababbaabaaabaaaabbbbabbabbaaabaabbabbbababbbbaabababababbbbaabbababbbbbbbaababaaaaabaabbaabbaaaabbbaaaababaaabbaaabbabbbbaaaaaababaaabaabbaaaabaaabababbbbaabbbbbbaababbaaabbaabbbababaaababaabaabbbbbbbabbaaabaabababaababbaaababaaabbbaaabaaabbbababbababbababbbaababababbabbaaabbabbabbbabaaababbbbaaababbabbaababbabbbbaabaaaababbabbababbababbabbaaaabbababaabbbaaabaaabaaaababbabaabbbababababababaaaaabbbbaaabaaaabbabaabaaaaaaaaababaabbbaaabbbbaabaaababbbaaaaaaabaaabbbaaababaaabbbabaabababbabaabbabaaaabbbbabbabbaabbabaaabaabbbabbaababababbbbbbbaaaaabababbaabbbbbbaaabbbaaabbbbbaaaaababbabaabbbaabaabaababbbabbaaaabbbaaababbababbabbaababaaababaabbbbbbbaababaaaabbabbaabababaaabbbbbaababaabaaabbbbbbbabbbaaaabbbbabbbbaaaaaaabaabaaaabaaaababbbabbbabaabaabababbbaabbaababbbbbabaabababbaaaabaaaaababbaababbbaaaaabababaaabbabbabaaabaabababaaabbabbbbbaaabbabbaabbabbbaabbbaaababaaaaaababbbaabbbaabababbbabbabaabababaabbbbbbbbbaaabbaabbbbabbabababbababaabaabbbbabaaabbaababbbaabaabbbbaaaabaaabababbaaabbbbabbaabbaababbbaabaabaabaabaababaababbbaaaaababbbbababababaabaabbbbaaaaaaaaaaaabaaaaababaaabaababababbaabaababababaababbaabbbababbaaaaaabbbbaabaabbbaaaaabaaaabbaabbaabaaabababbaaaaabbbbabbbaabaaaaabbabbabbababbbabbbbbbbbabbbaabaaaaaaaababaaaaaabbaaababbbbaaaaabaabaaaaababaabbaaaabaabbbbbaababaaabaaaaabaaaaaabbbabbaaaaabaabbabbabababaabaaabaaababaaababbbbbabbbbbabbababbababbaaaabbbbbababaaaabaabbabbabbabaaabaababbaabbabbaaaaabbbaababbabbabababaaaaabbaabbaababaabbbababbbbbaabbbbaabbbbababbbbaaaabbabbaaaaabbabaaababbaababbabbbbbbaaaabbbbbbabbbbabbbbbabbaaababaaaabaaaaabbaaabbaabbbabbaabaabaaaaaaabbbbbaaaabbbbbaaababaaababbbaaabbaabaaaababbabababbaabbabbbbaabbbabbbaaaaababaabbbabbbbbababaabaabbbabbbababbabaababbbbabbabbabbbabbabbaaabaabaabbaaababaaaabaaabaaaaaaaaabbabababbaabababbbabaababaabbabaabaabbabbaaabbbaaaaabaaaaaaabaaababbbbbbbabbbaaabbabbbbababaaaaabababaababbaaaaabaaaaaaabbbbaabbbbbaabbbbbababbabbaaaabbababbabaaaabbbbaabbaaaababaaabbbbaaaababaabaaaabbaaabaabbbabbbbbbabaaabaabbababbbaaaabababaabbabababbabaababbbaaaaaabbbababbabbbbbaaaababbaabbbabbbaaabbbabbbaabbbbabbababbabbbabaababaaaaaaabaababaababbbaabaabaabbabaaaaabaaabaaabaabbbbababbaaababaaababbbaabbbabaabbabaaababaaaaaaabbaabaabbaababbabbbbbabaaaabbbaabbaabbbbaababbabbbbababbabbbaabaaabababaaababbbaabbaabbaaaaabbabababaabbabaaabbbaaaaabaabbaabbbaabbabaaaabbaaababbaaabbbaaaaaaabaabbababababaabaabbbaabababbabbbbbbabbbbbabababbaabbaaaaaaaaaabbbaabbbbbaabbbaabbbaabaaababaaaabbbbbaaabaabbaaaaabbbaabbbbbaabaaabaaabaaaabbbabbbaabaaabbababbbbaabbbaababbbabaaaaabaaaababaabbbabaaabbaaaabbababbbbbabaababbabaaaabbaaabbbabbbbaabaabbabbbaabbbbababbbaaaababaabaaabbaabbabaabaabbabbaabaaabaaaabbbaababbbabbaabbbbaaabaaaababaabbaabbaaababababbbaabbbbaababbbaaaabbbaaabbbaaaabababbbbabbbbabbbababaababaabbbbaababbbaabaababbaabbbaaaabbabbabbabbbbabbbbaabbabbbbbbabbbaaabbababbbabbbbbbaabbbabbabaaabbbabbaaababaabbaabaaaaabbbaababbbbabbabbbbababbbabbbbaaaaababbaabbabbbbababbabbbbaabbabbbabaabaaabbbbbabbabbbabaabbabababababbbababbbbaaaabbababbbbbaaababbabbabaabbaabbaabbaaaaabbbbabaaabbbabbbabbbbbabbababbbaabbaabbbbaabbbbbbaaaabaabbbababbabbbaabaaaabbaaaabbbaaaaaaabababaaabbabbbaabbbaaaabbbbbbaabbbaaaabaabbbababaabbaaabbbabbabbaaabaaabbaaaaaaaaaabbbbbabbababaaaababbaaaabaabaaabababbbababbaababaabbbabbbbbaabbbaaaaaababbbbbbbaabbaabbbbbabbbbbbbbbabbababbababababaabbababaaaaabbbbbbbabbabaaabaabaaaaabaabbbbbaaababaabbaabbbaaabbbabaababbbbbbabbbaabbabababbaababbaabbbabbabbbbbabaaaaabbabbbabaabbbbabaabbbababaaaaaaaaabaabaaaaababaabbbabbbaaabbbaaaaaaabaabaabbbbbbbabbbbabaaabaaaaababaaaaababaaaaabaabaabbbaabbbbbbaabaaababbbabbaabbaababbbbaabababbabbabbabaaaaabaabbbabababbabbaababbabaaaaabbbababbbbaabaaaaababbabbaabbbabbbbabbbababbbaabbbaabbbababababaabaaababbbbabbabbbabaabaabaaababbaaaaaaabbaaaaabbbbbbabaaabbbbbbaabbabaaabbbbaabbabaabbbbabababbbbbaabbaaabaabaabbaababaabbbbbbaaaabaaaaaabbaaababbbbaaaabbababbbbbababbbbbaabbaabababbabaabbabaabaaaabaaabbbabbbaaaababbbbaaaaabbaaaaaababaaaababaabbbbaaabbbbbabaaabbaabaaaaabababbabaaaaababaaaabbbbbaaaaababababbbbbaaabbbbaaabbbaaabbbbbbabaaaabaabbaaabbaaabbbaababbbabababaabbabbabaabbaababbaabbbbaaabbaabbaaabaaababbbabbaabbbbbabbbabbbbabaaabbbbbbbbbaaaabbabbbbbabbbbaabababbbbbbbaaaaabaaababaababbaabbbbaabaabaaabbbbbbaabbbbbaabbaaaaababbbbbaababaabbababbaabaaaabbbabababbbbbaabbbaaabbbbbaaaaaaaababbabbbaabaaababbaabbbabbaababbbabbbbbbbaaabaabbabaaabaabaaabbabbababaabbaabbaabbbbaababababbaaaaabbaababaaaaaaabababaaabbaabbabaaabbbbbabbbbaabaabbaaaabbababbbabbbabaaabbbbaaaabaabbababbbbaabbaabbbabbbbbbbbaaaaabbbbbababaaababbbaababbbbbbaababbbaaabbbbbbbbababbbbaabbbbbabbbbbbbaabaaabbaaaaaaaaabbababaabbabbbbaabbbbbaaabbbbabbbbaaabaabbabaaaaaababbbaabbabbbbaaaabbbbaabbababaababbababbbbaaaabbbbabbaaabbabbaaabaaaabbbbbaabaabaaabbbabaabbababbabaabbaabbbbaabbbabbabbbbbaababbbaabbababaaabbaabaababbabbaabbababbabbbababbbabaaabbaaabaaaabbaaababaaabababbaaababbaababaabaababaaaabaaaaabaabbbbbbaaabaaababbbaaabbaaabababbabbaaabbaabaabbabbbbbbbbbabaaabaabbbaaaaaabaaabaaaaaaaaaaabbabaaabababbaaaabbaabaabbabbaababbabbbbbbbbbababbaabbbaabaabbaabbbbaabbbbaabaababbabaabaabbbaaaabbaabbbbabbbbbbaaaaaababbbbabaabbbbbaabababbbabaaabaababaababbabbabaaabbaaabbaaabbbaabbabbaaaabbabbabaabaaaaaababababbabbabbaaabaabbbaabbabbbaaaaaababbbaabaababbbbbabbaabbbbbaabbaabaaaaaababaaabbbaabbbbaabbaaaaaaababaabbbbbabbbaabaaaababbbababbbbaabbbbaaabaaabaabaabaaabaabbabaaabbbbababbbbbaaabaaababbbaaabaaaaaaaabaabbababbbbbbaabaaabbaaabaabaaaaaaaabbaaabbbabbaaaaabbbabbaabababbbaabbaababaaaabbbbbbbbbbbaababbaabababbbbbaabbabaaabbabbaaaaaabbbaababbaabababbbaaaabaaabbbbabaabbbaaabbbaabbbbababaababaabbaababbaaabbbbbaaababbbaabaaaaabbabbbaabababaaabaaabbbabbbbababababbabababbabbaabbabbaababaabbbbbabaaaaaabbbaabbabbabbbbbaababbbabbabaaabaaabbbaababbaabbbaaaaaabbaaaaabababbaaaababbbababbbbbaabbabbbabbababaaabbbaaaabbbbbbbabbbabaababbbabaaaabbabbaabaabbaaaaaaabbabbaabababbababbbbbbbbabbbabbbbaabbbbababaabbbbababbaaababaabbbabbabbbbababaabbaaabaaaabbababbbaaaaabbbabaaaabbbbbababbabbbabbabaabbabbaabaabaabaaababaaaabababaabbabaaabaaaaababbabaababaababbbaaaaaabaabbbabaaabaabaabbabaabbbababaabbaaaabaabaabbbabbbbbbaaabbbbabbaababababbbabbaaaabbaababbbabababaabbabaaaabbbabbbaababbababaaabbbaababaababaaabbabaaaabaabbbabbababbbbbbabababbbbbbabbabbbabbabbbbaababbabababbbbaaaabababbabbaaabbabaaababbabbbbbaababababaabbbbababbaaabbbaaabbbababbbbbbbbaababbbbbaaaabbbbabbbbabbbbbbaabbbaaaaabbbbbababaabbbababbabbbbbabaaaabaabbaabaabaabbaaabaaaabbaababbabbbaaaabaabaaaabaabbbbbbaaaaaaaabbbabaaababbbbaababbbbabbaabbbabbaabaaababbabbbaababbaaabaaabaaabababbababaabbbbbbabbaabababbaaababaabaabaaaababaaabaaabbbabbabbbaabaaabaaabbbabaaabbbbbaabaabababbbaabaabaaabbaaabbbbbaabbbabababaaaaaaabbaaabbabbbbabbbabaaaababbabbabbbbabbaabbaabbbaabbbbbabaabababbabaababbbbaaabbbbaababababbabaaaaaababaababababbbababbabaabbabbaabaabbbababbaabaabbaabaabaaaaabbbbbbabbbbbbabbbaaaabbababbaaaaaaabaaabaaabbaabababbbbbbbbabbbaabaaaaababaaabaaabbbaaaaaababaaaaabaabaabbbabbabaababbaababaaabbaababaababaaabaaaababababbbbbbbababababbabbaabaaabbababaabaaabbabbaaaaaaaababaaabaabbaabaabbbbbbbbabaaaaaaabaabbaabbbbbbbbabbaabaaababaaabbbbbbabbaabbbababbbababbbabababaaabbabbaaaaaaaaaabbabababbbbabbbaaaaabbbbbaaabbbbbbbabbbbbababbaaaaababababaaaaaaaaabaaabbaaaaaababbaaabbaabbbbbaaabbbaaabaaababbbbaaaababbbbbaaabaaaabbaababaabbabbabbbbaabaabaaaaabaaabbababaaaaaaabbabbabaabbbabbbaababbbabbabbabbbaabbaabbaaaaabbbbabbaabbbbbbbaabaabbbaaabaabaababaaaabababbabaaabbaabbbbbbbaabaabaaabbaaaabbaaababaaaaaabaababababababbaaabaabbabbbbbbabbaabaabbababbababaabbbababaababbaababaabaabaababbaaabbabbababbabbabaaaabbabaaabaabbabbaabbbbaaaaaabbbabbbabaabbaaaabbbababbababbaaabababaababbabaaabaabbababbaaababaabbaaaaabaaabaaaaabaaabbbbbbbababbbbbbbbaaabbaababbbbbababaaabaaaaaaabbbbabbbbabbbbbaabbbbabbbabbabbabaabbbabaaabaabaaababbababaaabababbabbbabbbbaaaaababbbabbaaabbbbabaaabbbabbbbaabababaaabababaaaaaabbababaaaaaabbbabababbaababbbbaabbabbbbbabaabaaaabaaaababababaabaaaaaaabbbbabbaabaabbaaaaaababababaaababaababbbabbbabaaabbaababaaabbabbbbbbbaabaabababababbbaabbabaabaabaabbbbbbababaabababbaabaabaaaaabababaaabaabaaabbabbabaaaaababababaabbbaaabababaabababbabaaabbbbbbbbaaaaaabababbaabbbbaaaaaabbbaaababbaaabaaabbabbbaaabbbbaaabaaaabbbaaabaabbabbbaaaabbababbbbbaaaaaaababaabbabababbaabababaaabaabaabaaababbaaaaaabbabbbbbbbbbbbabbaabbbababaabbbbbbabbabaabbbaaaaabbbababaaabbbaaaabbbabaaababbbababbaaaaaaaaaaababbbbbabbabababaabaaabbabbbbbababbabaabbbbaabbaaabaababaababaabaabbabbbaababaaaaababbbbbbbbaabaabbbbbababaabababbbabbbabaaaabbbabbaaaabbaabbbaaabaaaabababbaabbabaababbaabbaabbabbaaaabaaaabaaaaabbabbabbababaaaaaabbbaababbbabbbaaababbabaabbbaababbbbaaababaabbbbbbaaabaabbaababbabbaaabaaaababaaabaaaabbbbbbababbbaaabbaaabbbbabaabbbbababaabbababbabbbababaabbabbaaabaaababbbabaaaabbbbbbaaaaabbbbababababbaaaabbbaabababaaabbabbababababbbaabbbabaaaaabbababaaaaaaabbbabababbbbaabaaaaaabababbaaabaaabbbaabbbaaababbababbabaaaabbaaabbbababaabbbabbaaabbbabaabaababbbaababaaaabbaabaaaaababaaaaabbababbbababbbaabaaabbabaabbbaaaabbbbaaaabbabbabaabaabbbabaaabababbbaaabbbabaaaaaabaaaabaabaaaaaaabbbbabbbbbaababbabaababaabbaaabbabbaaaaabbbabbaabbabbbbbaababbaaaaabbaabbbbbbbbaaabaaaabbbbbbaabbbbabababbabaaabbbbbbaabbabaaabaabbabbbaaababaaaaabbaababbababbaaaaaaabbabaaaaababbbbabbbbaaaaabbababbaababbaabbbbaabaaaaabababbbaabbbaaababaaaabbbbbaabbbababaababababaabbbbaaabbbbabbbabbbabbabababbbabaababbbabbbabbabbbbaababbabbbbbabbbbaabababaababbaababbbabaababbbbbbabaaaaaaaababbabababaabbabaababababbbaaaaabbaabbbbbaababbbbbbabbaaaaaaaaabbaabbababaaaaabbbabbbbbabbbaabbbbabbbabaaaaabbababbbabbbbabaabaabbbabbabbbbababbbaaabababbabbbbabbbabbaaababbabababaabaaababbababaaabbababbaaaaaabbbbbabaabbbaabaabaaaaabbbbababbababbabbbbbbabaaabaabbbbaababaaaabbabbbbbabbabaabbbbabbbbababbabaaaaabbbaabaabbbaabbabbaaaabbababbbbbaaabaabbabaaaaaababbbbbaabaaabbbbbabaababbbaaabbaabbbababbbabbabbbbabbbaabbabaabaaabbbbababaaaabbaabbaaabbabbabbaaabbbabbbaaabbaaabbaaaaabbbaabbbbaabbaaaaabbbbaaabaabaaaabbbabbabbbaaaaaaabaabbbaabbbabbbaabaaabbaabbabaaaabbabbabbabaabbabbabbbbaaaaabaaaabbaaaabaabaabbaabaabbabaababbbbabbabbabababaabbbbbabbaababbaaaabbbaaabbababababaabaababbbabbaabbaaaaabaaaaabaaabbaaababbbaabbbaabababbaaaaaabaabbabbabaababbbaabababbbabbbbbbabbbaababbaababababaabbababbabbbbbabbbaaaaabaaaaaabaaaabaaabbabbaabbabaababbababbbaababaaababbaababaaabbaaaaaaabaabaabbbbabbaabbaaabaaaaaaaabaabbaaaababbbbaabbbabbaaabbabaababbaaabbabaaaabbbabbbaababbbabaabbaaaabaababaabaababaabbbbaabbabbaaaabbbaaabaaaaaaabaaabbaaaaabbbbaabaaabaaababbbaabbaaabbbbbabbaabbaabababbbbaaaaaabaabaaabababbbabaabaabaabaabaababaaaabbabbbaaaabababaabbababbababbbbaabaabbabbabaaaaababbbaaabbbababbabbaabbbbbabaababaaaabbabaaabbabbbbabbababbbbabbbaaaabbbbbbababbaabbaaaabaaabbaabbbbaababbaabababaaaabbbabaabbaaaaabababaaaabaaaabaaabbaaaaaaababbbababbabbbbaabaababbbbbaaabbbaaababbaababaaaababbababaaaaaababaaaababaababbababbbbabbabaabbaabababbabaaabbbabaabbbbbaabaaaaabbbaabbabbabbabbabaaababbaabaabaabbaaabbbbabaababababababaabaaaabaabaaababbabbaabbaaababbabbbababaababababbbabbaaababaababaaaaabaabaaaaabaababaaababbbbaababbababaabbaabaaaabbbbaaaabbbbbbababbaabaabbbbbabbbaabababbbaabbabbabbbabbbaabaabbabbbbabbabaaaaabababaaabbbaabaaabaabbabababbbaaabaabbaaaaabaabbbababababaabbbaaabababaababbbabbabaaaababaabaababbbbabaabaabbbbaaabbbaabaabaabbbabbabbbbababbbabaaabaaaabbbbababbbbababbbaabababaaaabbaabaaabaabababaaaaabaaabbaaaaaabbaaaabbaaabaaaaabbbabbabbbaabbbbaaaaaabbbabbababbbbbabaaabaaabbaaabaabbbbbbaaabababbabaaaabaabbaaababbbabbaaaabbbababbababbbbaababbbaabaaaaaabaabababbbabaaabbaaabbbbbbbabaaaaabaaaabbaaaababaabbaabbabbbbaabbbbaababbbbbaaabbaabbbbbaabaababaababbaaabaaababbabbaabaabbaaaabbbbaaaaaaabbabaabbbaaababbabbbababaaaabaaababaabbaababbbbaaabaabbaabbabaaabbabababbaabbaaaababbbababaaabbababbbababababbabaabbbbaabaaabaaababaabaaabbbaabbaaaaaaaaabbbbbbbaababbabbbabbaababaaaabaabaaaabaabaabbbbbabbbbbaabbbaabaabaabaaabaabbabababaabbababaaaabbbbaaaababbabaababbaabaabaabababaabbababaabbbabbabaaabbababbaabbabaabaabbaabbabaaabbbbaaabbabbabbbbabbaabbabaaaabaabbbbaabbabbbbbbbabbabaaaababbbaaaaaaabbbaabaaabbaaabaaabbaaabbabababbababbbaaabbaaabaabbaaaaaaabbaabbbbababaaaabbbabbbaaaaabbaabbabbababbbbbbaababbbaabbaabaaabababbbbaabbabaabbbbbababaaaababbaababaaabaabaabbaabbbababbbabaaabaabbaabbbbabaabbbbbabbbbbababbbbababaabbbababababaabbbbabababbbbbaababbbbabbaabbbabbbbabbabaaaabbbabaabaaaaaabaabaababbbaabbbbbabbabaabaaababbbbaaaaaaabbbbaaabaabaabababababbaaabbababbbbbabbbbaaaababbbbbbbaabbbbbaabaaaaaabababbaabbaabbabaababababbababbaaabbbbbbbbbabbaababbabbbbbbababbbbaabbbaabbaabbabaaaababbaaaaaaaabbaaabaaabbaaabbabbbaaaabbbbbababbabbbbbabbabbbaaaaaabbaababaaaababbaaaabbbbbaaaaaabbaaabaabaabbabbbbaaababbaabaaaaabaaaaabaabbbbabbbbbaabababbbabbaabbbaaaababababbabbaabbbbaabaabaabaaabbabbbbbabbbbbbabbbaabaabbaabbbbaababaabbbaababbbaaaaaabaaababbbaaabaabaabaaaaaaabbbababbbbabbabbbbbaaabaababbaababbbaabbabbaaaaabaabbbbabaaabbabbbbbabbbaabbbbbbbbbababaaabaaaaaababaabaabbaabaaaaaabbbbbbaabbbbbaaaaaaaaabbaabaaabaaabbaabaaaabaaabaaaabaaaaababbaabaaabababaaaababababbaabbbaabaaabbababaaabbbbbabbbabaabbbabbbabbbababbbbbaaaabaabbbbbaababbaabbabbababbbbbabbbabbbbabaabbaaaaabbaaaabbabbabbbbbaabbbbbaabbbbbabbbbabbbbbababbaaabbababaaaaaaababaabbbbbabbababbbaabbbbababbaaaabbbababbbbabbbaaabaaaaaabaaabbabbbbaaaabbbbbababbbbbabababbbbaabbabaabbaaabbbabaaaababbbaaaaabaababbabbbbbaaabbbbaababbbaababbaaabbabbaababbbbbaaabbaababaaabbbabbabaabbbababaaabbaabbbbbaaabbbbabbaababbbaabaaaaabbaaaaababbaabaaabbababaababaaababbbaaaaaabaaabbbbbbbaabaaababaabbabbbbbababbbbababaaaababbabababbaabbbaababaaababbaabaaabbaaabaaaabbbaabaabaabbbbabbbaaabbbabababbabaaaaababbbabaabbabbbbaabaababbabababaaaaaaaaaabaabbabbbbaabaaaaaaaaaaababaaabaabaabbbababbabbabbbbbbaaabbabbbbbbabbabbbbbbbbbaababababbabbbaabbbaababbbaabaaabbabbbaaabbbbaaaaabbbbaaabbaaabaabbbbbbbaaaaaaabaabbbbabbbbbbbaaaaaaaaaabbabbbbaaaababababbabaaaaabaabaaabbbbabaaabababbbaabbbbaabaabbaaaaabaaaabbabaaabbbaaababbbbabbbababaaabaaaaababbbbaaaababaabbbbbaabaaabaabbaabbbaaaabbbbbabbabbbaabaaababaabbbabaababbbabaaabbbbabbbababaabbbaaababbbaabbbbabaaabaaababaababbbaaabaabbbbbaaaaababbbaaaabbbabaaaaaabaaaaabbabbbbaabaaaabaaababbabababbbbaaaaaababbbbbabbbbbbaaaaaababbabbbbbbabaaaaabbaababbbbabaaabbaabbbbbbabaaaabbababaaaaaaabababbbbababbabbaabaabbaaaaaaabbabbbbabaaabbabbabbbaabaaaaaaababbababbbaaabababbbbabaaaabaaabaabbaaababbaaaaaaaaababbbbbaabaabababbbbbbaaaabaaaabaaabbbaaaabababaaabbbaabaaabbbabaaabaaabbabaaabbbabbaaabababbbaaaaabbabbaaaaabbaaabbbbbabbbabaaaababbbaaaaabbbaabbbaaabbbbbabbaabaaabbabbabbbbaabaabbabababaabababbbbbbabbabbbaaabababbaaabbabaabbbaabbaabbbabababaaaaabaaabbbbbaaaaabaaaaabbbababbbabbabbbaabbababbaabaaaabbbabaaaabaaaaabbabbabaabbabbbaabbaabbabbaabaaaaaaaabbaaaaaaabaabbbbaaababbbabbababbbbbbaabbabaabbabbaabbbaaabbaabaaaaaaabaabaabbababbaabaabbababbbbaaabbabaabbaabbaababaabbbbbabbaababababaaaabbaaaaaabbabbaaabbbbbaaabbbbabbbaababbbbabbabbabbbabbbaabababaaaabababbaaababaababaabbabaabaabbaabbababbbbaaaabbbabaabababbaabbbbbaabaaaaabbbbaabbbbabaaaabaabaabaabbbbbbababaaabbaaabaaaabbbabbbabbaabbbbbbaaaaabaababbbabbbaabbbbaabaaabbbaababaaababbaaaaaabaababbabababbaabaababaabaaaaaabaababaaabaaabaabbababaaaaabaaabbbabbaaabbbabaabbababbabbabbabbabbaaaabbbbbabbaaabbaaababbabbbabbbababbaababbabbbbabaabbabbabaaabbbbbaaabababbbaabbaabaaabbaabbabbababbbbbabbbbabbabbbbbbbbbbbbbaaaaabaaabbabbabbababbbaaabbbaaabaabbaabababbbabaabaaababbaaaabababbbaabbaabbaabbaaaaaabaabbabbbabbaaaabaaaababaababbbbbabaabbabaabbbbbaababababaaabbabaaababbaaabaabbaaaabaaaabaaabbaabaaaaaabbababaabaaabaabaababbaababbabaaaaababaaaabbabaabbbbaabaababaaabaababbbbaaaabbabbabaababaabbabaaababaabaaabaaaabbaaaabbbbbbbabbaabaabaaabbabaaaaaabbbbbbababaabaaaabaabaaabbaaabbaabbbaababababbbbbaababbabbbbbaabbaaaababaabbbaaabbabbabaaaababbabaaaabbabbbbabbabaabaaababaaaaabaaabbaaababbaabbbaabbabaabababaaaabaababbbaabbbbbbababaaaaabbbbbaabaaaabaaaaaabbabbabaabbabbabaaaaababaaabaaabaaaaaaabbaababbabbbbaabbaaaaaabbbabaabaaaabaabbbababbabaabbaabaabbbabbabbaaaabbabbbababaabaabaaabbbbbaaaaabbbbbbaababbaabbbbaabaaababaaaabaababbbbababbbbbbbbaaabbbabbabbbbaabbbabaaaabbbababaaabbbabbbbbbbbaabbababbbbabaababbabbbbbaabababbabbaabbbbbaaaaabaabbaabababbaaabbbaaaabbaaaabaaaaaabababbabbaababbbaaaabaabbbaababbaaababbbbbbbaaaaabbbaabbaaaabaabababaababbaaaaaabababbbbaababaabbabbaaababbaababbaaabaaababaaabbaaaabbaabaaababbababbabaabbbaabbbbbabbababaabbbababbabababbbbababbabbabbaaabbbaabaaaaabaaabbaaaaaaaabbbabaaabbbbbabbabaababaabbbabaaaabbaaababbbabbbaabababaaaaababaabaababaaabbbbabbbbabbbabaababaaaaaabbaaabbabbabbbabaaaaabaabaababbaaababaabbbababbbabaabbbabbaabbbabbbaaabaaaaaaabababbbabaaabaabbbbbabbbbbabbbbbbaaabbaaaabaabbbbaaaababaabbbbbbbaabaaababaababbabbbabbabaabaaabbbaaabababaaaabaabbbbaaabbbbbabbbbaababbbabbbaabaaabbabbaaaaaabbbaababbabbaaababbbaabbababbbbbaabbbbbabbabbbaaaabbababaabbbbabbaabbbbaaabbabbabbabaabaaabbaaaaaaabbababbbababbaaababbaaaabaaaaababbabaaaaaabbbbababbababbaabbaabbbabbabbaababbaabbaabbbaababaababababaabaabbabaabbbaaabababbabababbbbaababbbababbabbaabbababbabaaaaaabaabbbaaabababbaaaaabaaabbbbaaababababbaabbbbbbbaaabbbaaabbaababbbbbbbbababbaabbaababaababababbabaaaabaaabbaabbbabbaabaaaaaabbababaabbababaaaaaaaabaaabaaaabbaaabbabbbbabababaabbbaaabbbbabbabaaabaaabbbaababbaaabaababbbbbababaaabbabbaabbbbbabaaabbbabbabababaaaabbaaaababaaaaabaabbbbaabbbaababbaababaaaaaabaaabbaaabbabbbbbbbabaaababbabababbaaaaabaabbbaaabbbabbbbbbbbbaabaabbbbbbbbaaaaaabbbabbbbbaaaaabababbaabbbbbaaabbbbaaaaaaabaaaabaababbabbbbbbbaaabbbabbaaaaaaabbababbaaabbaaaabbbbaabbabaaabaabbbabbaaabbbaaabaaaabbbabbbbaaaaababbabbbabababbaabaabbaaababaabaabbabaaaaaabbabbaabbabaabbabbbabbabaabbaabbbbbbababbbbaabbbabbbbabbabbbbbbbbbbbaabbabaaaaaabbbbbbaabbababbabaaaaabaabaaaabaabababbbaaaaaabbabbaababbababaabaabaaabaaaaaabbbabababbbbbbabbbaaaaaaababababbbabaabbababaabbbbaabbbabbabaaabbbbaaabbbaababbaabbbabaaaaaabbbbabaaaaabbbaabaabaabaaaaaabbabbbaabaaaabbaaaaabaababbbbbabbbbaaaabababbaaabaababaabbaabbaaabbbbabaabbbababbbbbababbaaabbabbabbabaaabbbbbabbbbbaaaaabbbbbbaaaabbaaaaaaabbaabbaababaaabbabbaaaabababbbaabaabbbaaaabbabababbbbaaabbbbbbabbabaaaababbabbabaabbbbbbaaababbababbbbbabababababbaabaaaaabbaabbabbabbaabbbbaabababaaababbbbbaaaabbbabaabaaabbaabaabaababbbbabbbabbbbaabaaababababbabababaabbbabaaabbbabbbaaaabaabaabbbbaaababbaaababbbaabbaababaabbaaaaabaaabbbbbbabaababbaabbbbaabaaabbaabbabababaaaabbaaaaaaaaabaaaababbabaaaabaaabaaabbaaaaabbabbaaaaaabbaabaaabbaabbbbabaaabababaabbbbbbbbaabaabbabbabbaabbbaabbbbbbabbaaaababbbbaababaabbabbbaaaaabaaaabbabaaaaabbbbbaabbababbaaabbaabbbaabbbbbaababbaaabaabaababbbbabbbaababbababababbbbabaaaabbaabbbbabbbabbbbbaabababaaaaaabaaababaabbbaabbbaaaaabaabbbbbbaaaaabbbabbaababaabbabaababbaababaaaaabbaabbaabbaaaabaaabbaaababbababbaaabbbaaaabbabbbbabbbabaababbbbbababbababababaabbbbbabbabbbaabbbaabaabbaaabbaaaabababbaababbbababbbaababbaaaabbaabaabaabaaaaababaabbbbababbbbbaaaaaaabbbababbabbaaaaabbbaabbaaaababababaaaaaaabbbbaabaaabaabaaabbbabbbbbbaabaaabaaabbbbaabaabababaabaabaabbabbaabbaabbbbaaaaabaaabbbaabaaababbbbaaabbabbbbabbabaabbabbbabbbbbbbabaabbabaabbaaabaaababbabaaaaaaaaaabbbaabababbaabaaabbbabaaabbabbaaaabbabbbabbaaababbbaabababaabababaabbbaabaababbbbabababbbbbabbaabbbababaabaaabbbabbbbbaabbbbababbbbaabbaaababbbbababaabbaabaabbabbbbbbbbbabaabbaaaaaaaabbbbaaaabaabbababbbaaabbaaaababaababaabbbabbbbbababaabaaababababaababbabbbabaabbbbbaabbbaabbbabaaabbbabbbbaabbaaaabbbbaaaabbabaabbaababababaaaabaabaaaaaaaaabababbbbababbbaaaaabbbabbaaabaaaaaabaabbabaaabbbbabaaababababaababbaaaaaabbbbaaaaababbbabbababaaaabbabaaababbabbbaababbbabaababaabaaababaaabbbaabbbabbbababbaaabbbaaababbbbaaaaaabbababaaababaaaaaaabbbbbbaaaaabbbaaabbabaaaaaaabbbbbabababaabaaaabbabbbbbaaaabbbbbbabbaaaaaaaaaabbbaaabaababbbbababbbaabbabbaabbaababbbbaaaabbbbbaababbaabaabbbaabbbbbbabbabbbbbbbabbabaabbbababbbabbabbbbaaaabbabbbbbbaaabaabbabababbababaaababaabbbabbbabbbbabbabbbbabaabbabbbababbbaaaaababbababaaabbababbaaabaababaabaabbbabbabaaabbabaabaabaabbbabaababbabbaaaabbabbabbbabaaaaabbabbbbaababaababababaabbaabbbaaabbbbbbbbababbababaaababaaaaaabaaabbbabababaaabbabbbabaabbaabaaabbbababbaaabaaaabaabbbbbabaabababaabbbababbabbaaabbbbbababbababbbaababaaabbbbaaaabbbaaaababbaaababaababbaaaabaabbaabaaabaabaabaabbbbbbbaaaababbbabbabbabbbaaaababbbaabbbbaaabbaaabbaaabbaaaaababbbbaabaaabbbbaababbbbbbbabaaaabbbbbbbaaaaabbaaaaaaaabbabbabaababaaabbbababaaaaaabaababbbbbaababababbaaaabaaababbaaaaababbabaaabaabbbaabaaaabbaabaaabbbaaabbabaaaaabbabaabbbbababaaababbabbaaabbaaabbbbabbbaaaabbabbbbaaaababbbaaabbbbbbbbbaabbbababbbaabaabbabbbbbaaabbabbaaaabaabbabababbababbbbbabbabbabbbbbbabbbbaaabbababaabbabbbaaabababbbaaaabbaaabaaababaaaaaabbbaaabbabaaaaaabbabaabbaaaaabbbbaabbabbaaabaababbaabaabbabaabbbabbbbababbbaaaabbbaabaaaabababaabababaabbbabbabbbbbbaaabaabbbaaabbabaabbbbbbabbbaabbabaaaabaabbabbabbbbbabbabbaaabbaaababbaabababbbbababaabbbbaaabbbababababaababababbabbbababbbaaabababaaaaababbbbaabaaaabbbaabaaabbbbbbaaabbababbbbabababbbabaabbbabababaabaabaaaabbbbabbababaabbbbbbaaabbaabababbbbaabababbbbabaababaaaabaaaabbabaaaaaabbbbabbbaaaabbabbbbababbabbaaaabababbabbbaaaabaababbaabaabbbbaaaabaabbabbbbbbaabaaababbaabbabbababaaabbabbabbbbaabaaaabaabaabbbabaaabbbabbbabaabbbbabaababbabbbbbababbabababaaaabbbaabbbabaabbbabbaaaabbaababbaaaaaaabaababbabbabbbabbaaababbabbaaababbaabbbbbbbbabbbbabaababbbabaababbbaabbaabaaaaaaaabbbaabbbbabaababbabbaaabaabaabbbababaabaaabaaabaaaaababaaabaaaaaabbbbbbbbbaaabbbabaaaabbababbbbaabaaaaaaabaabababaabbbbabaabababbbbbbbbabababaabbaababaabbaabbbabbbaabbbbbababaaabaaabbbbbbaaaabbabbbabbabaabbabaaaabbbbbbabbabaababbbbaaababaabbababbbbabaabaaabaaababaababbbbbbbbaaaaababaabbbbabaaaabbabbbabbbaabbaabbbbbabbaaaaaaababbaaabbbabbabbbabbaabaabababbaababaaaaabbbbbbbaaababbbbbbbbabbaababbaabaabaabaaabababbabbbabbaabbbabbbbbaaaaaabaabbaaaabbbabaaabababbabaabababbbababbabbabbababbbabaaaabababbaabbabaaabbaaabbbaaabbbaababbababbaababbaaaabbbbabbaaabbaaababbbbbaabaabbaabaababbabbabbaaabaaabaaaabaabababbaababbaabaaaaaabaaabaaababbaaabbabbabbabaaaababbbababbbabaabaababbbbbababbabbbbabaabaaaabababbbaabbababaaaabbbaaaaababbbabbabbbbaaabbaaabaabbbbbaabbaabbaaababaabbaaaababbbabbabbaabbbbabbabababbbababaaaababbbbabaabaaabaabaaaaaabaabaabaaabbabbaabaaaabbbbbbababbabaaabaabababaababaabaabaabbaabbabaabaabbabbbaaaaaaaabbbabbaaaabaaaabaaababbbabbbbaabaaaaaaaaabaaabbabaabaaaabbaabbabaaaaaaaababbabababbbbbbabababaaababbbaababbabbababaaabaaababbabbabbabababaaaabaabbbbbbaababbbabbbbaababbbabaabbbaabbbbaabbbabaaabbaabbabbbbabaabbbbaaaaaabbbabaabbaaabaaabababababbaaaababbbbbbabaabaabbbbaabaabaabaabbbbbbbaabaabaabbabaaaabaaabbabbbaabbabaaabaaaaabaabaaabbaabaaaabbabbbabaaaaaabaababbababbababbabbabbaabbbaababbbaaabaabaabbaaabbbabbbabbaababbabbbbabbbababaaaabbbbbbaabbaabbababbabaaababbaabbaabaaabbaaaaabbaabbaabaabbaabbaabaabaabbbbabaaababaaababbaababbabbbbbaabaababbabbaaababbbbbababaaaabbbbbabbbbabaaababbbbaaaabbbbbbbbbbbbbbbbaaabbbbaabbaabbababbaabaababaaabbabbaabbbbabaabaababaaababaaaaaaababbbabbabaabaaaabbbbbababaaabbbaaaabababaaaaaabbaabbbbabaabaabbbaabaaaaabaabaaababbabbaabbabaaabbbababbabaaabababbbaaabaabbbbbaaabbbbbabbbbababbbaabbbbabbbabbaaabbbaababaaaaaaababaabababbabbbabbbaaaaaaabbbaabbabbababbaaabbbaabbaabbbabbbbabaaabbabaabbabbabaabbbababbabbaabaabbabaabababbbabbbaaabbaabbbabaaabaabbabbbaaaabbbaababbaaaababaaaaaabbbbaaaabaabaaaababaabbaaabbabbaabbbbbabaabaaaaabaaabababababbababaababaaabaababbaaabbaababababaabaaabaaaaabbaabaabbbabbbababaaaabaaaabbaabbbaabbbbabababbaaababbabbabaabbaabbabbbabbbaaabaaaabbaababbaaaaababbbabaababbaababbaaababbaababaaaaaabaaaaabbbbaabaababababbaaaababaaaabbbaabbbabaabaaabbaaaababbaabbbbbabbababbbbaabbbabbbabbabaaabbaaababaaaabbbabababbabbababaaababaaaabababaabaaaaaaaababbabbbaaabaaaababbaabaababaabbbbabbaaabaababbbbbbaaabbaaaaabbabababababaaabbabbbbaaaabbabbbbbbbaaaabaaaaabaababbbaababbbbaabbaaaabaabbbbbbaabaaaaaaaabbbbababaaaabbababaababbabaaababbbbbbababbbabaaabbbabaabaaabbaabbababaaabaabbbbbbbabbabbbaababbbbbbaabaaaabaabbabbabbaabbbaaaaabaaaaaabaaabbbbaababababaabaaabbbbbbbabababaaabbaaabbbabaabbabbbbbabaaaaaaabaabaaababbbabbabbabbbaababbaaaaaababababbbaaabababbabbababbaabbbbaabbbaabaaaabaababaabbbababaaaaababbbabbbaaabbbabbabbabbbaaababbababaabababaabaabbaaaaaaaaabbbaaabbbbbbbabbababbabbbbbaaabbabbbabaabababbbaaaaababaababbbaababababaabaaaaaabbabaaabaaaaabbbbbaaaaabbbabbbbaababaaababaabaaabaaabaabababbbbbababaaaabbbaaaaabbabaaababbabbbbabbbabababbbabbbabbbaabbbbabbbbabababaabaaabbbababbaaabbbbbbbbabbaaabaabbbaabaaabaababaabbbbbbababaabaabbabbbabbabbbbbbbabbaabbbaaabbaaaaabbaababbbbaaaaabbababbbbbbbaabbabbababbabaababaabaaabaaaabbabaaaaaaaaabbabbaaaabaabbabaabbbbbaaabbabaabbbabbaaaabbaababbbaaabbabbbaaaaaabbaabaabaaaaabaabbbbabbbaaabaaaaaabababaababbbbaaabbaabbbbbbabaabababbbababbbbbbaabaaaaaababbabaabaaaabbbabaaabbbaaaaababbbbaaabbababababbaaaaaaaabbbabbaaaaaabbbbaabbabbabbaabbababbbbabbabbabbbbabaaabbbabbbaababaababaaabbabbbbaababbaabbbabbbabbbbaabbabbabbabaabaabbbbbbbaaaababaaabbaaaaaabaabaaababbaabaababaaaabbabaaaababbabbbaaababaaaabbaabbababaaaaabababaaabaabbaababababbbbbbbabababbaaabbbbabbaabbbbaabaabbbaabbbabbababbaabaaaababbababbabababaababaabbaabbabababbaabaababaabaabbbabbaabaaababbbabbabaaabaababbbbababbbbbbbaaabababbaaaaabbaabbbaababbababbbbaabbababbbabaabbbbabbbbbaaabbbbabaaabaaababaaaabbaaaababaababbbaaababaaaabaaabbaaaabbbababbbbbaababaaabbaabbabbbaabbbbaabbabbbbaabbabbbbaaaaabababbbbaabbbaaaabaabbaabbbbababbabbaabbaaabbbbbbaabaababaabbabbaababaaaabbaabbbbbbbbbaaabaaaaabababbabbaaabaabaabababbbbbabbaaaaaaabbaabbbbaaabaaaabbabaaaababbabaaabbbbabbabbaabbabbabbbaababbabbbbbaabababbabbababbbaaabababbbabbbabbaababbabaaabbabbabaabaabbbbbbbabbabaabbbbbaabaabbabbabbaabaaaabaabaababbaabaabbabbaabaabababbaaabbabbbbbabbabaaabbbbbbbaabaabbbbbaaabaaababbbbaaaaaabbabaabaabbbaaaaababbaabaabbbbbbabaabbabbaabbabbbbbbbabbbbbabbbaaaabababbbbabbaaaaabbaaaababaabbbbbabbaaabbabaaababaaaaaaabbaaaabbababaabbaabbbaabbabbaaabaaaaabbbbbabaabbaaabbbabbbabbbbbababbaaaaabaaabaabbbbaaabaabaabbbaabbabaaabbaabaaabbaabbabaabbaabbbbbbabbaaababbababaabbabbbbbaaaaaaaababbabbaabaabbbbbbaaaaabaaaaabbbabaabbbbababaabaaabbabbabbbaabababababbababaababbbaababbbabbaaaababbbabbaaaabaaabbaaaabbaabbbbbabbaabbbabaabaaababbbaaabbaaaaabaabaabbaabababbaaababbbbaaaabbabbababbaaaaaabbaaabbaaabbabaaabababaaabbabbaabbbbaabbbbaabbabbbabbaaaaaaababbaabbbbababbbbaababbabaabbaabbbabaabaababbababbabaaaaabababbbbabbababbabbabaaaaabbaabbbaaaaabbababbababbaabaabbbaabbbaabbbbbaaabbaaaaaabbbbabbabbbabbabbbabababbbbbababbbaabbbaaaaababbbaaaabbaaaabaabaabbabaabababbabbbbbaabababbbaabaaaaaabbbaaaabbbabbababbbbababbbbaaababababbbaabaabaaabbbbaaaaabbbabbbabaaabbbbbbbabbabbbabbaaaaaabbaaaabababaabaaaabbbaabbabababbbbabbbbbaaaabbabaaababbbabaaaabbabbaabbbabaabbbabbabbbaaaabbbabababbbbaaaababbaababababaabbabaabaaaaaaabaaaababbaabbbaaabaababbbaabbabaabbbbaaaaaaaabbababbaaaaaabaaaaabaaaabaabababbabbaabbabaaaabbabaabbbbababaaaaaabbbbabbaabaabaaaaababbabbaabbaabbbaabaaabaabaaaaaaaaaabbabbbbababbabbabbbaaabaaabbabaabbbbaabbabaabaabaaabaaaabaabbbaaaababbbbaaaaaaaababbbbabbaabaabbbbbbaabbabbbbabaaaabbbbbabbabbbaabaababbabbabaaaaaaaabaaabbbbabbabbbabababaabbbbbaabbabbbabababbbabaababaabbbaabaaabaabaaaaabbbaaaabbaaaabbababaabaabbabbbbbabababaabaabaaaaabbbabababaabbbabaabbabbbaaabbbbaabaaaaabbbabbbbabbbbaababbabbabbbbbbaabaabbbabaababbaaababaababaaaaababbbbabaaabbbbabaababbaaaaabababbbabababaababaaabaaaaabbbbabababbababbaaabbbbaaabbbabaabbabaabababbaaabaabababbbaaabbaaabaabbbaabbaaabababbbbbbbbbbbaabbbbaaabbaaaaabbbbbabbabbbaababaaabbabaaabbaaaaabbaabbbabababababbabaaabbbabaabaaaabbbbbaaabbbbabbabbaaabbabbaaabbabbabbbbbbbbbbbbbbbaabbaaaabaaababaabbbabbabaaaabaabaaaabbabababbabaabbaaabbbbaabaabbbababaabaaababbbbaabbaaabbbabbbbabbaabaababbbbbbbabbaaaabbababbbbbbabaabaabbabaaababbabbabbabbaababaabbababaaaabbbaabbaaaaabaabbaabbbbbabbbbabaaabbaaaaabbbbaabababbabaaaabbbabbabbaabaabaabbbbbbaababaaaabaaabbaabaabbaabaaaababababababaababaaabbbbbaaaaaabaaabbbababbabbbbbbabaabbabaaaaabbbabaaaaaabaaabaababbbabaaabaabaabbbaabbbbaaaaabaaaaabbababababbbaabaaaaaaababbbbababbbabbababbbbababbababbbabaabbaaaabaababbaaabababababaaabbaabbaaaabaabaabaaabaaabbbbababbbbababaabbbbababbaaaaaaaaaabbbaaabaaabbbaaaaabaabbaaaaaabaaabbaabababababbaaaaaabbabaaaabababbabababaabbbabaabbaaaabbbbaaaabbaaaaababbbabbaaaabababbaababbaabbbbbbbababaaaabaabbbaaaaaabaababbbaaaabbabbabaaababaabaaabbaabbabbabbbaabbababbaabaababaaababbbbaaabababababbabbbabaaaaaabbaabbbaaabaababaaabbbbbbbabbbabbbabbbaabbabaaaaaabbababbabaaaaaaabbbababbabaababaabbaaaaabaabbaaababababbbaabbabbaabbaabababaabbaabbbabaababbabbaabaabbbbaabaabbaaababbaaaaaabbbbabaababababbaaaabbbabbabababbbbabbaaaaaabbabbaabaababbababbaaaaaabbaaabbbaaabbaaaabaabbaaababaabbababbabbbbaabaaaaaabbaaaabbabaabbaaabbbaabaaaaaaabbbabbbabbbabbbababbbbaaabbbabbbabbbabbababbbbbababbaabaaaaaaababbaabbbbabaabaabbbabbbbbbabaaabbbbababaabbaaaabaaaaababaababbabbaabaabbbbaaaaabbbbbbabbaaaaabbaaabaaabbabbbbaaaaabaaabbabbaaaabbaaaabbbbabbabbbbaabbabaaabbbbbbabbbbaabbaaaaaaaabaabaabaaababaaaaaabbbbaabaaaaabbbaabbbbbbbabbbbbababaaaabaabbaabaaaababaaaabbbbababbbaaabaaaabaaabaaaaaaaaaaabababaabaababaabbabaababbaabbabaabababbaaabaaabaaaabaabbbaabbbaababaaabbbaaaaaaabaaaaabbbbbbbbbbbbabbaabbaabaaaaaaabaaabbbaabbabaababbbabbbbbbbbabbbababbaaaaabaababaaabbbaabbaaabbbaaaabaaaabbbbbabaaabaababbbbbaabbbbababbbbabbabbbbbbbabbbbabbaaaaaabaabaabaaaabaababbabbabbaaaabaaabaaaaabbbbbbababaaabaabbbabaabbbbbabaaaabaabababbbbaababaababbbbbabbbbabbaabbbaabababbababaaaababaaaaabbabbabaaaaaabbbbbabaaaabbababbabbbbbaababbaabbbbaaabababaaababbaaabaabababaabababbbbaabaabaaaaababaabababbbbabaabbabbaaaababaabaabbaaaaabaabbbbbbabbbababbbbabaabaabaabaaababbbbbaabaababaaabababbaaabbbabaabbbaabbabaabbabbabbbbaabaaaabbaaabababbbbaababaaababbbaababbaabbabbbababbaababababbbbbbbaaaabaababbabaabbbbaaabbbbbbbbabbbbabbaabaababbbbabbabbbbababbaaaabbaabbaaabaabaabaaabbbbbbaabbbbababababaabbabaaabaabbaaabababbababbbbabaababbbbabbaaabbbaaaababbbabbabaabaaabbaabaaaabbaababbaaababaabbbaaaabaabaaaaabbbbbbbbbaabbbabbbbaaaaabbbabababbbbbbabababaabbaaabaaababababbbabaabaaaaabbbabbaabbbbaaabbaaabbababaaaaaabbaaababbbbbaabbbaababaababbaababbabbbabbaaaaabbabbababbbabbbbbbbaaabbbbbbbabbbbbbabaaaababaababbaaababbaababbbaaaabbbbbbabbabbbabbaabababbaabababbbbbbbbbbabaabaaaaabaaabbaababbaabababaaabbbbbaabaababaabababbaaabaaaabbabbbbabbbaabaabbaaaaabbaabbabaabaaabbaaabbaaaaaaaaaaabaabbbbaaabbaabbabbaabbaaabaaabbaaaabababbbbabbabaaabbbbababbbbaababaabababaabbbbbaaabbabbabaabaaaababbabbaaaaabbaaabaaaaaababbbbaaaaabbaaabbabbbbaaaabbabaaabbabbbabbbaaaaaabababbbabbabaaabbbbbbbbbbabaaaabbaabbbbbabaaaaabaaaaabaaabbbbbbaaaaabbbbbbaaaaaabbaaaababbbababbaabaabbaaabaabbbabbaaaaaaaaaabbbabbbbaababaabaaabbbabbbabaaabababbaaaabaaabababaabbaabbaabaabbbbbaababababbabbaababbbabbababbbaaabbbaabbbbaaaabaabaaabbbbabbaabbbabbaaabababbbbbabbabbbababbbabbaaaaaabaaabaaaabbaaabaabbabababaabaabbaaabbbbababbabbbbabaabbaaaaabbabbaaaaaaaabbbbabbbaabaaaabababaaabbabbaaabbbababbababaabbabbabbabbabbbabaabaabbbbbbaababaaababaaabbbabbbabababaaaaaababaaaabbbbaaabbbabbabbaaabaaabbabbabbbbbaaabbbaaababbabbaaaababaaababbababaaabbbbaaabaababbaababbbaaaaabbaabaababaaaabbbaaaaababbbabbaabaaabababbaabbaabbbbaaaaaabbaaababbbbabbaaabaabaabbabaaabbbabbabbbaaaabbbbbaaabbaaabbbbbbbabbbaabbbabaaababbaaaaabbaaabaaaaabaababbabbbbbabbabababaaababaabababaabbbbbaaabaabaaaaabbbbaabbabbbbaabaabaabaaabababbbbababbabbaaabaaaaaaabbbaaaabaaabaaabbabbbabbbaaababaabaabababaaabaaabbaabbbbbbbabbaaabaabbabbaabaabaaaaaaaaabaaababaabbabaaabbabbbbbabbaaabbbabbaabaaaabaaaabaaaabaababaababbaaabbbaaabbaabbbaabbaabbaabbabaaabbaabaaabbbbabaaaabbbaaaabbbabbabaaababbbaabbbbabaaababbabababababaaabbaaabbababbbaaababaabbbbbababababaaaaabababaaaaabaabbababaaaabbbbabbbbbabaabaaaaaabaaabbaabbbaaaabababaaaaabaaabbaaaaababbabbabbabbabbbbababaabaabbbaabbbaabaaaaaaaabbaabbaababbbaabbaababbbbbbbaaaabbabaababbaabbaaababaabbbaabbbabaaaabbbaabbbbbbabbaaababbbabbabbaababaababbaaabbaabaaaababbabaababbaaaabaabbabbaaabaaaaababbbabbbaababaaaabbbaaaaabbabbabababababbaaaabaaaaaababbbabbabbaaaababbbbaaaaabaaaababaabbbabbbbbbbbaaabaabbaaaabaabbabaaaabbbbabbbabbbaaababaaaaaaaaabbbabbabbaaaababaabbbbbabbabbabbaaabaababaabaaaaabbabbbbbabbbaababaabbababbbaabaaaabbbbabbababbbbaaabaaaaaaaabababbbababbaabbabbbaaaabbaabbbbaaabaaaaabbbbbbaababaababaaaabaabaaababbaababaaabaaabaabbbabbbaabababbbaabbbbbbabababaaaabbabbbaabbabbaaabaabaaabbbaabaabbbbaaabbabbaaabbbbbbbbbbaaabbabaabbbabababaaabaaabbbaababbbabbbabaaabbbbbabbbaaabbbabbababbbbabaabaaaaabaabaaaaaaaabbbbbaaabaabbbababaabababbabbaaaabbaaaabbbbaabbbbbbaabbbaaaabbababbbbbbbaaaabaabababbaabaaaaaabbabbbbababbabbaabbbaaaabaaaaababababbbbbbbaabaababbbbbbaaabaabaabbbaaabbabaabaaaaaabbbbbbbabaaaabaaabbabbaabaabaabbaabaaaaaabbbbbbbbaaababaaabbabaabaaabababbbaabbbabbaaaaaabbabaaaaababbaaababaabbaabbabbaaabbabbbaaabbbbabaabbbbbbbbbbaaaababbaaabaaabbbbbaaaaaabbaababababbaaaabaababaaaaabbbbabbaaaaaabaaabaaabbaaabbbbbababbaaababaaabaabbbaabbaabbabbbaaabababbabbabbababbaabababaaabbaabaabbbabaabbbabbababbaaaababaaabbbaaaabaabaaabbbababbaabaababaabaabbaaabbbbaabbbabbbbbaabbaababbaabaaaababbbabbbbabbbbbabbbbaaababaaabababbaabaaabaabbbaaaaaaaaabbbaaabaaaababaabbaabbbabbabaaabbbbabbbbbbbbbabbbbbaaaaaaabaaabbbbbabaababbbaaabbaaaababbbbababaabababbbabbabbbbaababbabbbbbabbbbabbabbbabbbbaaabbabbbabbabbaababababaaaaaababbabbbaaabbbaaabaabaababaabaabbaaabbabbaabababaaabbbaabbbaaaaababaababbaabaaabaaaaabaaabbbbaabbabbbabbaaabaaaabbbabbabbbaabbabbbbbaaabbbbbaaaabbbaaaabbabaabaababaabbaaabaaaababaabbabaabbaabaaababbababbababaabbbbbababbbbbababbabbaabaaababaaaaaabbaaaaaabbaaabaaaaabaaaaaaababaaabbabbbbababaabbabaaabbaaabaaaababaababababbbabaaaababbaaaabbbbabbabaababababbaaabaaabaaaabbababaabbbaabbbabaaaaaaaababbaaaaabbbbbabaaabbaabbbababbabbbbbbbbbaababaabbbabbaabaabbabbbaaaaaabaabaabbaabbbbabbbbabababbbaababbbbbbabababbbbbaaaaabbbaabaabaabbabaaababbbababbaaabbbbbaabbaaaaababbbaaabbbbabbbbbaaababaabbbbabaabbbbabbabaaaababaababbabbaaabaaabbbbabbbabbaaabbbbbababbaaaaabaababaaabbabbbbbabaabbbaaaabbabbbbbbaabababbabbbababaaaaaabbbabaabaaababbaaababaaaaabaaaabbabaaaababaabbbbbbabaaaaaabaaabbbababaabaaabbaabbaabbabbbaabbbbabbabbbabbaaabaaaaabbaababaaaaaaaabbabaabbbababbaabbbbbabbbbbabbaabbbabbabaaabaabbaabababaabaaabaabaabbbaabbbabaabbbbabbbbbababaabbababbbbaaaaaaaabbaabbabaabbaaabbbaaaaababababaaaabbbababaaabaababbaabaabbbabaabbbbabaaabaaabbaabaaaabaabbaabaaabbbbababbababbbabbbbaaababbbaaaabbaaabbbbbbaabaabaabbabbaaaababbaaabaaabbbbaabaaaaaabbbabbbaaaaaabaababaaababbaabababbbababbbbabaabaababbabbabbbabbabbababaabbbababababaabbbaabaaabbbbbaabbaaabbababaabbaaababbbbbaaaaaaaabbbaaaababaabbaabababaabbbbbabbaaaaaaabbabbbaaaaabbbbbbbbabbbbbaaaababababbbababbbbabaaabbbbbaabababbabbaabbbbbbbaabbbbbaaaaaaabbabbbbbbaaabbbaabbaabaaabbbbbababaabaabababbabaabbbabbabbabaaabababbbaababbbbbabaaababbbababaabbaabaaabbbaabaaaaaababbbaaabaabbbbbaababaabbbabaabbbabbababbaaabaaabaaabbaaabbabbaaabbaabaababaaaabaaaabababaabbababaababababaaabaababbabbabaabaabbbbbbbbbabbbbabaaaaaaababbbbbaabaaabaaababbbbbbbaabbbbabaababbaababaabbbbabbaabbabbbabbbaabaabbbaabbbbaababbbaaaaaabababababaaabaaaaabbbbbabbaabbaaaaabbabaabaabbaaaaaabbaabbbbabbbaabaaabaabaaabaabababaabaabaabbbbabbbabababaaabbbabababbaaabbbbbbabaaabaababbabaaaaabaaabaabbbbaabbababbbaaababaaaabbabbaabbbbbaaaabaabbabbaaaabbababbbaababbaaaaabbaabbaaaaababbbaaababaaaaabaaabaabaabbaaaaaaabaaababbaaaababababbabaaaabbbbbabbbaaabbaabaabbbbbbaabababbabbaabbabaabaaaaaaabbaabaaabaabbaaaabbbbbaabbbbabaaabaaaaabaaabaabaaaabbbbbbbbaaabbbaabaabaaabaabaabbabaaabababbaaaaaabaabbbbbbaaaabababbabaabbabbabababbababbabababaabbabbbabaababaabbaaaabaabbbaaaabbbabbaaaababbbaaabbabbbaaaaabbababbbabbaaabaaabaaababbabbbbabaaaaaaaababbabbbbaabbabaaabbbbbbbabbbaabababaabbabbbaaaababaaaababbababbbbbbaaababbabbaabbbbbabbbaabbbabababababbbaabbababbbbabaabbbabbabbbaaaabaabbaaabbaabbbaabbaaaabaababbbaabbaaaabaabbbbababaaabaababbabaabbbbaaabbbbabaaabaaaaababaabbaabaaababaabaaaaabbbabbbaaaabbaabbaaabababbbbbbbaababbaaabababbabbabbbbbaabbbbaabbababababbabaabaabaabaaaaabbabbbaaabaaaaabbbbaabbabbabaaaaabababbaaaaababbbbaaabbabaaabababaaaabbaaabababaaabbababbabbbbbbaaaabbbbbbaabbaabbbbbaaaabbaaabbbbbbaaaabbaaaabbbbbaababbbabbaabaaabbabbabababbbbbbaaaabbabbaaabbaababbbaaababbbbbbabbbaabaabababaaaababbbbbabbaabbbbaabbabaaababaabaabaaababaaaabaaabaaaaaaabaabaababaaaabbbbbabbabaaabbbaaaaabbbaaaabaababbbaabaaabbababbbbbaaaabbaabbbbbbababbbaaaababaabaaabbabbbabbbabbababbbabbababbbabbbaaaaabbbbbaaaabaaabaaababababbbbaaababbbaabaabbbbbababbaabbabbbbaabbaaaaabbababaaababbbaabaaabbaaaaaabaabbbabbaabbaaaaabbbaaaabbaaaaaaaaaabbbbbabbabaabbbbbaaabababbabbbabbbaababbaababbbbaabbababbaaabababababaabbaaaaaabbbaabaaaaabbaaaababbbbaaaabbaaaabbbbbbabbbbbbbbaaaaabbabaaaabbaaabaaabbbabaababaaabaaaabbbaabbbbbbabbbbbaabbbabbaaababaaababbabbbbaabbbaababaaaababaaaaabababaaababbbbbbbbababbbbbbabaaaababababaaaababaababbbababbbaaabaabababaaaaabbbbaaabbbbaababaaababbbbaabaaabbaabbabaaaaabaaabaaaabaaaaaabbaaababbaaabbbbaaaababbbababbbbbababbababaaabbbaaabbabaabbbaabbaabbaabbababaabaabbabaabababbaaaaaaaaabbaaabbbaababbbbabbbbbabbbbaaaabbbbbbabbaabbaaababbbabaabbbbababbbbabbaaaaaabbaabbbaabababbaaabbaababaabaabaabbabaaababbbabaabaabaaaaaababbaabaababaabbabaaabaabbbbabbaabbbaaaaabaaabaaabbabbaaaabababbbbabbbbaaaaabbbbaaaaaaaabaabbaabbaaaaaabaaabaababaaaabbabbaabbbbaababbaababbababaabaabababbaaaabaabbbbababbaabbababaaaaabbbaaaaaaaababbababbabbbaaaabbbbabbaababbabbaabaaabbbbbbbababaababbaabaabbaabbbabaaabbababaabbbaabbbababbabbaabbbabbbbaabaaaaabbababbaababbbabbaababaaaaaabbbbbbabbbbbbaabaaaababbbabababaabaaabaabababbbbabbbbbbaabbbabbbaabaaabaaaaaabaababbbbbbbababaaaababbbbbaabbaaabaabbbabbaaaabbaabaabababbaaabbaaabaabaaabaabbababbbababaaaaaaabababbbbbaabaaaaabaabbbbbbaabbabbabaaabbabbbbaaabaaabbabbabababaabbbaaabbbaaababbbabbbabbabbaaabbaababababbaabbabbaabbbbabaababbbabaabaaababbaabbbbbbabbbaaaababaaabaaaabababbbabababbbbbabbbabbbbaaabaabaabaaaaaababababababaabbabaabbbbaabaabaaabbabaababaabaabbbbbbaabaaababbabbabaaaaaabbbaaabbbaabaabbaabbbaaabaabbbbabbababbaaabbbbbbbaaaabaabbbbaaabbbbbabbbabbbbbaabaaaababbbababaababaabbaaababaabbbaaababaababbbbbbbabbababbbaababaaabaaabbabbabbbbabbabbbaabbbbbbbaaaaabbbaaaabaabbabaaaaaaaaaaabbbbaababbabaababbbbbababbbbaabaabbbabaaabbaabbbbbaabababbabaaabababaabbbbbabbabbabbbbbaabbaabbabababbaabaabbabbaaaabbbbaaaababbaaaaaababbbbbbaaabbbbbbbaaaaaaaabbbbbbabbbabbabbbbbaaaabbbaabaaabaaaababbbababbaabbbabbbaabbaabbbaabaabbaaaaabbbbaabbbaabbabaabbaabbbaaaabbaabbabaabbaabbbabbbbbbbbbbabbbababaababbabaababaabbbbaaabababbaaabbabbbaaabbabbbabaaaabbbbbbaabaabbbabbaabaaabaaaaabbbbbaaababbababaaababbaabbbbbbbbabbbbbbababaabbaabaaabaaabbbaabaaaabbababaaaaaabbaaabbaaababaabaaaabbaaaaababaabbbabababbababbaabaabaaaaabbbbbaaaabbabababbaaabbbaabbbabbabaabbbbabbbaaabbbbbbaabbabababbaaaaabaaabbaaabbbbbaabaababbaaabaababbaaababaaabaaaabaaababaaabaabbaaaaabaabaababaabbbabaababaaabbbabbaabbaabbbbbbbbbbbaabbbabaabaaaaaaabababaababbbbabaababababbbbabbababbbabaaaababbaabbababbbaababbabaaabaababbababbbaaabbbbabbabbaabaabaaabbbabbbabbaabbaabaaaabababbabaaaabbabbabaabbbaaaaaabababaabbbbbbaaabbaaabaababbabbababbabbaababaaaabaabbaababbbbbabaaabbababaabbaaabbbaaaaaaabaaaabaaababbbaaaaabaabaaaababbbaababaabbbabbbabbbaaaabbabbabbbbbbaaaaabaaaaaaaaaaabaababaabbabaabbaabbabbbabbabbaabbabbaabbbbbabbbabbaaaababbabaaabbbbbaaabaaaaabbaababbabaaaababababbbbabbbaaabbbbaabaaaaabbabaaabaaabbbbbbabbbabbabaaaabbaaaaabbaabbaabbbaabbbbbabaababbbabaaaaaabbbbbabaaaabababaabababbaaaabbabbaabaaaaabaababbaaaaaaabbaaaabbabbababbbaaaabbaaaaaaababaaaaaabbabababbabbabaabbabaaaabbbbaaaaababaaabbbbaaabbabaababbababaaabababbbaabbaaaabbaaaaaababbabbaaaaababaaaaaabababaabaaababbbbaaabbaabbbbbbbbbaaabbbbaababbabaabaabbaabaabaababbabaabaaaababaaabbabababbbbabbbbaabababaaaabbaabbababaaaaaaabaaababaabbbaaabbbbabbbbaaabbbbabbbbbababbbaabaaaabaabbbbaabaababaaabbaabbbbabaaabbaabbaaabbbaabaaabbaaabbababbabbbbbbbaabbaabaabbbabbabaababbabbbbbaabbbabbbbaaaabbababaaaabaabababbbbbbaababbaabbaaaabbbbbaabbaaabbabbabbbabbbabbbbbbbaaaabbabaabbaaabbbbbaababbbabaabababbbaaaabbaabbbaabbaaaabababbaabbabaaabbaaaababababbbbaabaaabbbbbaaaabbbbaaabbaabbaaabbbbaaabaabababbbabbabaaabaaaaaabbbaaabbbbbaaaabaaaaaabaaaaaabaaaaababbabaabbbbbaabbbabbbbabbabaaabbababbabbaabbababbbababbabbbbbbababbbaababbababaababbbbbbaaababababababababbababaaabbbbbbbbaaabaabbaabbbabbbaaaaabaaababababbababbbbabbaabbbabbbbbabbbabbbabbbaababaaaaaababbaaaabaabbaabaabbbaabbbbaabaaaaabbabaaababbabbbaabbababbbbabbbabbabbbbaabaabbababbabbaabaabbabbbbabaabbbabbabaaabbaaaabbabbababaabaabbbbbababbaaababbabbbaaabaabaaaaabaabbbabbbabbaabababbaababbbababbaaababbaabbbaabbbbaaaabaabbaabbbabbbabbbaaabbabbbbaaaabbbaaabaaabaababbbbaabbbbbabbbbababaaaaabaabbbabaabbbaabbbaaababbaaabababbabbaabbaabaaaaaabbababaabaaababaabbabaabbaaabaabbaaababbaaabbbabbbaaabaabbabbaaabaababababbabaaabaaabbbbbbbbbbbbaabbaaaabbbabbbaaabbabbabaaaaabbaaaaaabbabbaaaaaabababaabbbaabaaabaaababaabbabaaaaaabaabaaabbaaabaabaababbbaabbbbaabbbaabaaaaaaababbbbbaabbbaaabbaabababbaababaabaababbbaabbbaabaaabbbaabbbabbbabbabbaabbababbabbbabbaabaaabbbaabbbbbbbabaabaababbbabaababababbaabaabbbbbbbaaabbbbbaabbbaaabbbbaababbabbbaabbbaabbbbabbaaabbabbaabbbaabbaabbbbbaabbbabbabaaabbaaaaaabbbaaabbaababbabbaababbaaabbbbbbbababbaaabaabbaaaabbbabbbbbbbabbbabbaabbbabbbbbabbabaaabababaabaabbabaabbbbbaabbbbbbababbabaaaabaaaaaabaaabbabaabbabbaaaaaaaaaaaaabbbbbbaabaabbabbbaabbabbbabbbbabbbbbaabaabaaababbbabaaaabaaabbababbabbbababaabaabbbbabaaababbababbbabaabbaaaaaaabbbabababbaabaaaabbabbbbbababbbbaaaaabaabaaaaabaaaaaaabbbaabaaabbabbabaaabbbaabbbbbabbbaabbbaaabbaaabbbaaaabbbbababbaaababaaababaaababaababbbbbbbbabbabbbbbbbaabbabbbbabaaabbabbbbaaaaaababbbabbaabbbaaaaabbabaabbabababbaababbaabaaabbabbabaaaaabbbabbbaaaabbbabbaaababbaabbaabbbabaabbbaaaaaabaabbabaaabaaaabaabbababbbbaababaaabbaabbabbbbbbbabbbababbbabaabaaaabbbabbaabbabaababaaaababbbaabbbbbbababbaaabbaabababaababbbbabbaaaababbbabbaaabbaababbabbaabbaaabbbaaababaaababababbbabbbabbbbaaaabbaababababbbabbababaaaabbbaabaaabaababbbabbbaabaabbaaaaaabbbbbbbaaabbaababbbaaabaaaaaabbabbbabbaaabbabbbaabababbaaabaabbaabbbbaaaabaabbbaaaabbabbbababaabbaabaaabaaaaababaabaaabaababbbabbaabaaaabaabaabbbbaaababbabaabaabaaaaabaaababaaaabbaaaabaababbabaaabbaababbbbaabbaababababbbbababaaabaabbbbabbbabaababbbaaabbbbbbabaaaaababbbbbbaabaabaaababbbbabbbabaaabaabbaabbbbbababbbbaabbbbbabbaaaabababbababbbabbbbbababaaaaaabbbbbaaabababbabaabababbabbaaabbabbabbaaaabbbaaaabaabbaabbbbababababbaaaaaabbbababbaaabbbbbbbaababaabbbaaaaaabbbbbbbbbbbaabaabaababaabbaaaabaaababbaaabbabbababbbabbbbbbaabaaaaabbbaabaabbabbbbbbabbbabbbbaabbbbbababaabaababbababbabaabaababaabbbabaabbabaaaababbababababbbbabbbaababababbbaabbabababbbbaabaaaabaaabbbbaaaaabaabbaaabbaaaabbbbbabbabbbbaaaaabbbaababbbaabbbabaabaaaababaabbaabbbbbbaaabbabaaababaababbbbabbabbabbbbababbabaaabaabbabbabbbabbababaaaababaabbabababaabbabbaabbbabbbababaabbaaababaaabaababbbbaabaaababbaaababbbabbbabbabbbbabaabbaababaaaababbaaababbabbaaabaaababaabaaaabaabbbaababaabbbabbababbaabbabbbabbabbbababbbbbbbbbbaababaabaabaabbbbbbabbabaaaaaaabbababbaaabbbaaabaababababbabbbaabababaaaabaabbbabbaabaabbbbabbbbabbaabaabbaaaaabaaabaaabbbaabbabaabaaaaaabaaabaaaabaaababababbaababbaababbaaabbbbbbababbbbbabbbaaaaabaabbbaabbaabaabbabaaabbabaabbbaaaababaabbbbaaaaaabbabbbbbaabaaaabaaabaabbbbabbaabaabbaabaababaabbbbaaaaabbabbbaabaabbbbbbbaaaabbbabababbaabbaaabababbaaababbbbaababaababbbbabaaabbaaabaaabaaabbababbbbaaabaabbabaabaaabaabbbbbbaaaaabababaaabaabaabbbbbbaabaaaabaabbbaaaaabaaabaabaaabbbbbbaaaababaababbaabababaabbbbbaabbbaaaababaabbaabaaaaaababaababbabaabbaabbaabbabbbaabbaabbaabaabababbbbbbbababbaabbbbbbbbabaaabaaaabbbbaaaaaaabaaabaaabbaaaabbabbbbbbabbbbbabbababbabbaabaababaaabbaaababbbabbabaaaabbaaabababaabbababaaaaabaabbabbaaabbaabaabbabaababaabbabaaaaaabaaaabbababbbaaaaaaababbbabbaaababbbbbbbaaabbbabaabbbbabbbbaabbaabbabbbbbbaaabababaabbababbaaabbbbbaabbbbbabbbbbaaabbbbbabaabaaaaaabbabaaababbbaabbaaababbaaabbbbbbabbbbaababbbabaabbaabbaababbaaaaaaaabbaabbaabbbaabaabbbbbaabbabbabababbabaabaaabbbbbabaaababbaaababababbbbaaaabaaabbaabbbbaabaaabbaabbbbabbbabaabbaaabbababaababbbbabaababaaaaaabababaaabababababababbbbabaaaabbaabaaabbaaaababbbaabbabaabbaababbabbbbaabaababaaabababbbbbbaabaabbabaaabbbbabbbbaabbbbabbbaaabaababaabbbbaaabaaabbaaabbbaaaaabbaabbabaabbbbaabaabaaaabbaaabbabbaabbbbbaaaaabaabaabbabbbaabbaaabbabbbbaababbaabbaaaabbabaabaabaabaaaabaaaaaabbbbabbbbbbbabbbababaabbaabbbabaaabbaaabbbbbbabaaabbaaabbabbbbabaabaabbbbaaaaabbabaaabaaaaaababaaabaaaabaababaabbbbbbabababbbbaaaabaaaabaaabbbbabaabaaaaababbbbbabaaaabaaaaabaabbbbababaaabbabbbabaaaabbabaabbaabaaabbbabaababbbaaabbbaabbbabaabbaabababbabbbabbaaaabaabbbbbaabaabaabbaabababababbbbabaabaaabaaababbabbaabaabbbbbbaaabbbbbabaaaabbbbaabaabaaaaaabababbbaaabbabbbaabaaabbbabbabbbaabaaaabbbbabbbbbbbabbaababbaabbbabbbbaababbaabbaaaabbaabbabbabaaaababababbbbabaaaaaabaabababaaaaaabbabaabbbaaabbabaabaabbbaaabbabaaaaababaaaababbbbababbbbabaababaabaaabbbbaabaabbaabbabbabaaaabaababaabaaaabbbabbabaabaabaaabaaaababbbbaababababbbabababbbabbababaaaabbbabbaababbbaaabbbabaababbbabbababbbaabaaabaaababaaabaababbbaaabaabbbabbbbbbbabbbabbbbbabbbbabaabaabbbaaabababbbaabaaababaaabaababbbbaaabababbbbbbbabbbbbababaabbabaaababbbbbababbaaabbaaaabaaabaaabaababbbbbabbbabbababbbababaabababaabbaaaaaaaabaabaaaaabbbbaaaaaabaabbaababbababbabaaabbbababaaabaaaabbaaaabaabaaaaaabbbaabaaabaaaaabbbabaabbbbaabbbbabababbbabbabaababbabbbbbaababbbaabababbbababbbbbaabbbbbbbaabbaababaaabbbabbbbabaaabbbbabababaaaabbaabaaabbbaabbbbbababbbaaaaabbbababbbabbbbbabbabaabaabaaabaababbaabaabaabababbabbbaaaababababababaaabbbabbbbbaaabaabbababbabaabaaaabbaaabbbabbbaabbaabaaabaaaaaabaabbbbbbabbababababaaabbaaabbabbbaabaaaabbabbabaabbabaababbbababbabbbabbbabbbbbaaaabbbbabaaaabbaabbabbbbbaabbbaaabbbaaaabbababaabbbaabaaabaababbbbbaaaaabbababbaaaabaaabbbbaababbaaaabaaaabaaababbbbbaaababbabbaabbbbabbabababababbbabbbaabaaaababaaabaabbbbbbabbbbbabaaaaaaaaaabaaaabaaabababbaaaabbaaababaaaaabaaabbabbabaaaaaabbbabbabaabbbbbbaababbababbbababababaabbbaabbbbbbbaabaaabababbabbaaabababbbababbabbabaabaaaabbbbabbaabbbabbabbabbaaaabbaababbaaaaabaaabaabaaabbaababbbbbaaaaabbbbbabaaabbababbbbbababbaabababbaabababbaabbabbaaabaabbabbabbababaabbbaaabbbaabaababaaabbaaaababaaabbababaaabaababaabbabbbabbabbbabababbaabbbabaababaabbaabababaabaabbaaaabababaabbaabbbbaabbabbbabbaaaaaababbbabbababbbbbbaaaaaababaaababbababaaababbaabbbbbaabaaaababbbaabbabbbabaaaabbaaaaabbaaaabaabaaaabababaabbabaaababbaabaabbbbababbbababaaabaaababaaababababaabaababaababaabaaaabbbbaaabaaabababbbababbabbababbaabaaaabbbaabbabbabbbbbabbaabbaaabbabbbbaabbbababbabbaaaaababbaaaabaaaaababbabaaababaaabbababbabaaababbbaabbbbaaabbaabbaaabababbbbaabababbaaabbaababaabaababaababbbbbaaabbbbaaaaabbbaaaaaabbbbaaabaaaaababbbaaababbabbaabbbaaabbbbabaaababaababababbbbbbaaaaaabaaabbaababaabaabbbabaabaaabbaaaabbbbabbababbbabbabaabbabaaababaabbababaabbbaabaaabaaabbaaaabbbabaaaaaabbbbbbabaaaaabbababaabbbbbaaababbbabaababbabbbabaaaababbbbbbbbaaaaaabbaaabbbaabbababbbaaaaaabababbabababbbbababbbbbbbbababaabbabbbbaababaaababaabbbababaabbbbaaabaaaabbabaaaabbbabbaaaabbbaabaaaabbbabbabbbaabbbabbabbabaaabaababbbbbabaababbbaabbababbaabbbaabbabaaabababbbbbbabbbbabaaaababaabaabbabbbaabababaabbababababaaabbbbabaabbbbaaabbbbbbbabaaabababbaabbaaabaaababbbbbaaaabbbbaaaabaaaaabaaaabbabababbaaaaabaaaaaabababaababbabaabbbbababaabbbabbaabaabbbabaaaaabbbabababaabbaabaabbabbaabbaaaabbbbaabababaabbaabaabbaabaaabaaabaabaabaabbabaaaaaabbabbaaaaaabababbbbbbbbabbbababaaabbbbbbbabbaaaaaabaabbbbabbbbbbbaaabaabbbbababbbbbbbabbbbbabbaaaabbabbbaaababaabbaabbbaabaababaababbbbbaabaaaaabababbaabbaaabaabbbbaaabaabbbbbaabbbbbbabbaaabaabaaaaaaabaabbabaabbbaabbbabbabbbaaaabbbaababbabbaaaaabababaaaaaaabbabbbbbbaaabbabbabbbaaabbbbaaaabbbaababaababababbbababbaababaabaaaaabbbaaaaabbababbaababaaabbbbababaaaabaaababaababbbaabbbbbaaabaaabbbaabbbaaaabaaaaabbbbbabbabaaaabbaaaaaaaaaaabbbabbaaababababaaababaaabaabaaaaabbabaabaabaababbaabbbbabababaabbabaaabbbbabaaabaabbbabbaababaaaaaaababaaaaabbaabaaaabbbbaabaabbbaabaaabaaabbbaaababaaaaababbaabaaabaaabbaabbbbaaaaababbbaaabbbabaababbabbaaababababbbbbbbabaaabbaabbabbababababbabbbabaaaabbaaabbaabbbabbabbababbbbbabababaabbaaabaaabbbaaababaabbbbbbbbaaabbabaabbbbabaabaabbbbabaaaabaabbbbabbaaaababbbabaababbaabaaabaaaaaababaabaabbbabaaaaabaaababbbbbababaaaaababbabbbbabbbbbbbbbbbabababbaaababaabaaababbbbabbbaaaaaaabaabbbbbbaaaaabaaaaabaabbbbbabbbaaabbbbbbabbabababbaabbaababaaaaababbaabbbaabbbaaabbbbaaaaabbbaabbababbbbaabaabbaababaaaababbbabbababbbbaabbbbabbbaabbbbbaababbaababbbbababbbbbbbaaabbaabaabbaabaaaababbaabababaababbabaababbbbabbbbaabbabababaaababaabbaaabaabbaaaababbabababbbbbaaabbaaaababbbaabbbabbbbaaaaabbaaaaaabbabaabababbaabbababbaaabaababaaaaababaabbbaabbabbabbbbababbaabaabababbaabbbbabababbaabbbabaabbbabaabaababbaabaaabaabbabaababbbbababbabbbabbabbaaabbbbbabaaaaabbbbaababbabbaaaaababbaaaabbabaabbbabbabbbaaabbabaaaaabbbbbbaaabaaabbbbabaabbbbabbabaaaaabababbaaaaabbbabbabaaabaaabaaabbbbbbaaaabababbbbbaababaabaabbbaaaaababababbbbabbaaabbbabababbbbababbbababababaaabbaabaabaabbbbaabbbabababaabababbababbbbaaababbbbbaabbaaaabbabbaabbaabbbbbbaaabaaaaabbaabbbbbbbbaabbbbbbaabaaaabababaabbbaabbabbbbbbaababbbbbbababbaabaaabaaaaabbababaaabbbbaabaababbbbaaaabbbabbaabaaaabbabaaaabaaabaabbaabbabbbababbbbaabbbabbabbaaababbaaaabbaababaaaabbaabbbabbbbbabbabbaaabababbaabaabbbbbaaaaabbabbaabbaabaabaabbaaaabaaaabbabaababbbabbabbbaabbaabbaababaaabbbbbbaaaaabbaabbbbabaabaaabbbababbbaabbbbabaabbbbbbbbaababaabbbaaabbbaaaabbbaabbaaababbbbbabaaabaaaaaaaaabbaaabaaabaaaabaababbabbbabaaaabbbabbaabababbbbaaaaaabbaababbbbaabbbbabbabaaababbbaababababbaabbabbbbaaabaabababaaabbbbaaaabbbbbbabbaaabbbbbaaabbbabaabaaabbbbbabaabbbaababbbbaaaabbaaabbabbababbbbbabbbbaaaababbbbbbaabbababbbbbbabbbbabbaabbbbababbbbbaaaaaaabbaabbaaabbabaaabbabbbabaaaaaababbaaabababbbbabaaaabaababaaabbaaaaaaabbbbaabbaaaabbbbabbabaaaaababbbabbaabbabbabbaaaabbbbabbabaaaaaababaaabaababaaababaaabaabbabbbaabbabababaabbaaaabaababbabbabaabaababaaaabbaabbaababbabababaababbaabbbbbbaaabbaabbabbbaaaaabaaabaaabaaabbaaababaaaabbaababbabbaaababaaabaababaababbbaabaaabbaababbbaaaaaabaaaabaabababbabaabbbbaababbbaaabaabbbabbbababbaabaaabaabababbaaaabaabbbbbbabaaaaabbababbbbbaaabbbaaabbbbaabababaabaabbaabbababbaabaaaababaabaaabbabbbaabbabaabbabababbaaababbabbabaaaabbbbabaabbbabbbabbaabbaaaaababaabaaaabaaaabaaaaaaabbbbaabbbaabbababaabaabababaabababababbbbaaaaaabbbaabaaaabababbabbbbaaaaaabbbaaabbabbaaabbbabaaaaaabaaaabbbbabbbbbbbabbbbabbbabbaabababbbbaaaaaabaabbbbbbababbabbbaababaabbbbbbaababaaaabaaabaabaaabbbbabaaaaabbabaaabbbbababaaabaabbabbbabababaababbbabbbbbaaaabbabaaabaabbbbbbbbabbbabaaaabaabababaaabaabbabbbabaaabbbabbaaabbaaaaabaabbaaababbaabbaabbaabababbbabbaababaababababababababbabbbbbbbbbaaaabaabbbababbbabbaabbbabbbbbabbbabaaaaaaabaaababaaaaabaabbababbaababbbaabbbaababababaaaaabbbbaababababbbbabbbabaababaabababaaaaabbabbbabbbaaaaaabaaabaaabbbaaabaaaaabaabbaaaabaababbbaababbbaababbbbbbbababababaababbbaaaaaaabbbaaaabbbaaabbbbabaabbbaaabaaaaaababaabaaabaabbbbaaaaaabbbbaabaabbbababaaaababbaabaaaabaaababbabbaabbaabbabbbbbbaabaabaabbaaaaaabbbbabaaaabaabbabbbbbbbbbaabbababababbbaabaaabaaaaaababbaabaaaaaabbbabaaabaaaabaaaabbbaabaaabbbaaabababbababbaababbbbaabaaaaaababaaaaabbbbbbbabbbbbaabbaaaaaababbbaaabbabbaabaaabaaabaaaaaaaaaabaaabbbaaabbbabbaaaabaabaabbabaaaabaaaabbaabaaaabaaabababaabbbababbaabbbababbbbbbbaabaaaaabaaabaabbabaaaaabbbababbbabaaababaaaabbbabaaaabbbabbbbaaabbabbababaabbbbbbaaaaabaabababbabbababaaaaabaaabbbbaabaabaabbaababaaaaaabaabbaaaaaaaaabababaabaaaaaaaaaaaabaabababbaababbbaabbaabaaabbbbbabbaabbaabababaabbaabaaaabbbabaabaabaabbabbaaaaabbabaababbaabababaababbbabaabaabababbabbabbbabaabbbabaaabbbbaabbabaaabbbaabaabbabbabbbabaaabbbbaaabbaabbaaaababbbbbaabbababaabbaaabbabbabaaabbbaabbaabaababaaaabbbaabbbbabbbabbbabaaababbabbaabbabbabbbbaabbaabaaabbbbaabbbbabababaabbabbaabbaaaaaaaababaaaabaabbbbbbabababbbaabbbaabaaabaaaaaaabaaaaabaabaababbbbbbabbabababbbbbbabbababbababbaabbaaabbabbaabaabbabbbbaaaababbabbbaaabbaaabbbaabbabbbaaaaabaabbababbabaabaaaaabbabbaaabbbaaabbbaaaabbbbabbbbbbbbbabbbaaabaaabbbbaaababaaaaaaabaaaaaaaaabbbaababababaaabbbbaaaabbaabababaaabbbbaabaaaaababaabbbaaababbaaabaabbbbabbabaabbbababaaabaabbaaaaaabbaaabbbbaaabbbbbbbaaaabbbbaaaaaaabbbababbabaabbaabaabababbaaababbababbbaaaabbaaabbaabbababaabbbbbaaabbbaabaaaabaaababababaabaabaabbabaaaaaababaababaababbbaababbbbaabaaabababaaaaabaabaaaaabbaaaaabbabbbbbbaabbabaababbabaabababbbbbbabbaabbbaaabbabbabbbaabbbabbaaabaabaaabbaaaabbabbabbbbabaabaaaaababbaabbbbbaababbabbbbaabababbbabbabbbabbbaaaaabbbbbbaabbbbbabaabbabbaababbaaababaabbababababbbbaabbababababbaabbababbabaaabbabbaaaabbabaaabaababababbaabbbabbbbbbabbaaabbbabbbabbabbbbababbaaaaabaaabbbaabbbbbbabababbbabbaaabbabbbaaababbaabaabbaabbababaaababaaababbabbabaaabbabbbbbabbbbabbbbabbbaabbbbbbbaabbbbaabbbaaabbabaabbaabbabbabbaaabaaabbaaaababbbaabbbbbabbabbbbababbbbbaababbaabbbabbaaababbbbababbbbaabbbabbaababbababbbaabbabbbabaabbaabbaabbaaaaabbabababbbbbbaabbababababbbbbaaaaaabbaaaabbbaaababbabbbbabbbabbbbababbbaabbabbbabaabaababaaababaaaaabaabababaaababbabbabbaaaaabaaaababbbabaaabaabbababaaaabbbabaaaabaaabaaabbaaabbbaabbabbbabaabaaaaaaababbbbaaabaaabaabbbaabbbabbbbabbbbbaabaabaaabbbaaabbbaaaaabbabbaaaabbbbaabbababaababaabbbbabbbbabababbbaababbbbbaabbbbbbaaababbaaaababbbbbbaaaaaaaaaaaaaaaaabaabbbaabaaaaabbbaaabbaabaabbbaabaaaabaabbaabbbbbabbaaaabbababbabaabbbabaaabaabaabbbbaaababaaababbbbbbabbabaaaabaaaaabaaaaaababbaabbababbbbaaabaabbababaabbaaaabbbaabaabbabbaaaababaaabbabbbbbbabbaabbbaaaabbabbabbbababbbabaabaaaabbaaabbaabaaabababbbabbbabaababbbbaaabaaababaabbbaabaabbbbaaaabbbabbababbbbbaabbbabbbabababbaabababababaaabaabbaabbbbaaaababaaaaaaaaababbbbaaababbbbbaabbbaababbabbabaabbabaaabaaabaabaababbbbbbbbbbbbabbbabbaabbabbababababbabbbbabaaababbbbbababbabababaabaaabbaabbababbaabbaabbababaaabaababbbaabbbbbaabbbabbbaabbabbaaabbbbbaabaaabaabbbbabbbabbaaaababbbbabbabbaabbbaabaabbbaaababaabaaabbabbbbbbabababaaaababbabbaabbbababaaabaabbbabaaabbaaaabbaaaabbbaaababbabbaaabbabaaabbbbabbbbababaaabaabbabaaababaaaabaaaaaaababbaabbbaabbbbababababbaaababaabbabbbabbabbabababaaaababbbaaaabbbbaaababaabababbbbaaaaaaabababababababbaabbaabaaabababbaabbababaabaaabaaababbbaabaaaaabbabababbbaaaaabbaabaaabbaaabbaabaabbbaababbaabbababababaabbbabbaaabaaaaaabbabbaabbabaabaaaabbbabbaaaabbbabaaabbaababaaabbbabbabababbabbabaaaabaaabbaaabaabbbabaaabaaabaababbbabbabaabbbbbbbbbbbaaaaabbbbbabbaaabbbbababaaaabaaaaabaaaaabbaaaaaaabbbbabababababaabbbabbbabababaaaabaabaaaababbbaabaaaaabbbaababababbabaaaabaababbbbababbbbabbaaabaaaabababbbabbbbaabbbabaaabbbaabaaaabaaaaaabababbbabbaabbbbbaabababbabbbabbaabababbbbbbbbabbbbaaabbbbabbaaaabbbbabbbabbbababbaabababaaaaaabbabbaabaaaaabaaabbabbbaabaaabbaaaaaaaabbbabbbaabbaaabbabaabbbaabaababaabbaabaaabbabbbbabbbaaaabaaaaabbaabbaabaabbaabbaaabbaabbbaabaaabbbaabaabaaaabaaababbabaabbabbaabbbbaaaabaababaaabaabbbbaababbbbabbaaaabaabaaaabaabbbbabbaabaaaaababaababbbabaaaabbabababaabbabbaabbbaaaaaaabbbabbbabbabaaaabbababaabbabaabaaabaabbaaaaaabbaabaababbabbbaaaaaaaabbaaabbaaabbbaababbbaabbbababbbabbaababbbbabaabbbabaaabbbbabbaabbbabaabbbbbabaabbbbababaababbbaaaaaabbbbbaaaaaaaaaaabbaabaabbbbbbbbabbbbaabaabaabbbababbbaabbabbabbbabaabaababbbabbbaabbbbbaababaabbbbbbabbbbbabbbabababbaaaabbbaababbbbaaabbaaabbbababbabaaaababaabbbabbbbaabbbaababaabbbbaaababaabbbbbababbaaaaaaaaaabaababbbaaaaaaabbbaabaabaabbabaaaaaabaaabbbaaababbbaabbabbaababbaaaaaabbabbbaabaaaababbaaabababbabbaabaaabbbaaaaaaabbabbaababbbabbbaabbabaaabababbbabbabbaabbaaaaababaaabaababbababbaaaaabaabbbabbaabaaaaaaababbbbbababbbbaabbbababbabbbaabbbaabaabaaabbaaaabaabbbbbababaaaabaaaabbabaabbabaabbbaabbabbaabbbbbbabbababbaaaaabbbbabaabbbbbaaabbaabbbbbbbaaaababbabababbaabaaabbbaaabbaaabaaaaababaaaabbaabbbabaaaababbabaabbbaabbbbabababbbbbbabbaabbbabbaabaaaaaabaabbbbababbaabbbbaabbbbbabbbbbbabbaaabbabbbbbaabbbbbbabbbababbbaaaaaabbbbabababbabbabaabbbaaaaaaabbbbbaaabaabaabbbbbababaaabbabbababaaabaaabbabababbababbaaabbbbbbabbabaaaaabbbbbaaaabbaabbabaaaababbaababbbbbbabbbbabbaabbabbabbbaaabbbaabaaabbaabababaaabbbbbabbbaaaaaababaaabbaaaaaabaaaaaaaaaababbabaabaaaababbaabaabaaaabaabababababaaaabaabababbbaabbbaaaabbbaabbaababaababaabababbaabababbabbbbaabaaabbabbabbaabbaaaabbbabbbababaababbaabbaabbabbabaaaaabbaaaababbbaabbabbbbabaabaabaaabbababbbaaaaabbbabbbbabbbabbabababbaaabbbbabaabbabaaabaaababbaaabbabaabbbbaaabbaaabbaaaaaaaaaabababbbabaabaaababbbbaabbbbbaaabbbbbaaaaabbababbabaaabaaaaababaaaabaaaaabaababbbbaabababbbbaabbabaaaaaabbbbaabaaabaaaaaaaaaaaaababbbaababaaaaaaaaabbabbaaabbbabbbbabaaaaabaaabbbbbbabbaaabbabbbaabbababaaaaaabaaaababbabbaaabbaababbababababbbbbbababaaabaaaabbbaababbbbbbbbbaabaaabababaabbaabbbaaababbabbaaabaaabbaaaabaabaabbabaaaaabaabaabbaaabbbabbbbbaaaabababbbbaababbababbbaaabbaaabaaaabbbbbaabbbaabbbabbaaaababaabababbbbbabbababbbaaababaaaabbabbbbbaaabbbbbababbabbbbaaaabbbbbbabbabaaababbbbbaaaabaabbababababbbaaabbbbbabaabbbaabaababbbabbbaaaaaabbaaababbbaabbbabbaabaaaabbaabbbbbbaaaaabbbaabbabaaaaababbbbbbabbbaabbbaabbaaaabbbababbaababbabaaabbaaaaaaaabbaaabbaabaaaaabbaaabbbababbbbbaaabaabaabbbaabaaabbabaaaaabaaaabbabbbaaaaabaabbbbabababbabbaaabbbabbbbabbbaaaaabbbabbbabbaaabbaabbbabbaaaabaabaabaababaabaaabbbaabbabbbbbbbbbaaababbaabbaaaaaabbbaaaabbabaaaabbaabbbaabaabbbbbaabaabaababbbbaaaaaaabaaaabbbbbbabbbbababaababbbbaababbbbaaaabaaabbabbbbaaababbbbbaaabaaaabbaaabbaabababbaababbabbbbaabababbaaabaaabbaabbbbaabbaabaabaababbabbbaabbabaaaababaababbabbbaaabaaaababaababaabaabbabbbaaaabbaaabaabbabaabbabbbabababbabaaababababaababbbabbbbabaaabbababbaabbabbaabaababbbaabababbaaaaababbbabaabaabbaaaabbabbaaabbbbbbababbaabaabbbbbaababababbabaaabaaabbbbabababbaabababbababaaaaaabbabbbbbbabbababbbabbbaaabbaababbaabbaabbbbbaaaaabbaaaabaaabababbbabaabaaabbabbabaaaaaaaaaaabbabbaabbbabbbbabbaaabaaabaabaaabbbbabbbabaaaababbaabbabbaababbbabbbbbaabaabababbbabbbbbbabaababababbababbabbbabaaababaabbbabbbaababaaabbabbabababbbaabbbbbaabbaababaaaaabbbbbabbaabbbbabaaaabbbbabbbababbbbbababbbbabbbbbbaaabaababbaaabaababbaaabaaaabbabaabaaaaabbbbaaaabaabbbaaaaabbbaaaaabbbabaabbbaaaaabaababbbabaabbaabbaaabbabbabaaabbbaaaabbaaaaaabbabbaaaaaaababbbbbabbbbbbaababbabbbbbbabababbbaaababbabbababaabaaabbbabbababaaaaaaababbbabaaaaaaabaabbaaabaaaaabbbabbaababbaaaabbaaaabbbbbaabaabbabaababaaaabbabbabaaaababaabaaabbaabababbabbbbaabbababaaabbbababaabbaaaababbaabaaaaaabaabbbbaababbbbbaaabaabbbaaabbbaaabaabbbabaaaabaaaabaababbabbbabaaaabaaabaaabbaaaaaabaaaabbaabaaaabaaaabbaabaaabbbbbababbababaaabbbaabbbaaaaabbaaabbbaabbabaaababbabaabbbaaaabbbabaaabbbbaaaaaabaabbbabbabaabbbbabbaabaabababbbbbabababaaabbbabbabbbabbabbabaaaaabaababbaabaaabbbabababbaaaaaabbabbaaabbaaaabbabbaaaaabababbbbaaababbaaaabbbbabbaabbbbaabbbbabbaaabbbabbbaaaaaaaababaaabababbbbaaaaababbaaabbabaababaaabbaaaaabaabbaaabbbabaabbbbabaababbabaaababbabbabaabaabbabbababbbaabbabbbabababababaaababababbbaabbaababaabbbbaababbbbbbabbabaaababbbabbbaabbbbbbbbaaabaaaaaaaabbbabbbaaaababbaababbbaaabbbabaaabbabaababbbbbaabaaaaabbbbabbabaaaabbabaababaaaabaaabbbaaabbbbbbaaabbabaaabbbabbaabaaababbaaaaabababbabbbaabbbbaaabbabaabababbbbbbbaaabaabbabbbbbbbabbaaabbabbabaaababbabbaabbbbabbbbabaabbaabbbbbbaaaaabaaaabaabababbaabaabaaaabbbabbababbbabbbaaabbbbbbabaaaabbabaaabbbaaabaabbbaababbabaabbabbbaaabaabbbababaaaaaaaaaabbaabbbabaaabbabbbbabaaaaabaabbbbbababbaababababbbbabbabbbaabbbbaabbbaaabbbbbbbaabbbbababbbabaaabababbbabbaababaababbaaabbbabbaababbbbabbabbbbbbabbaaaabababaabbabaababaaaaabbbabbbbababaabaaabaabaababaaababaabbaaaabbbababaabbaabababbaaabaababaababbbaabababaabaabbabababbababababbabbbabaaaababaaabaaaabbbaaabaaaabbbabaaaaaabaabbabbabbaabbbbbabaaaaabaaaabbbabbbababbabbababaaabbbaaaabaabbbabbabbbaabbbabaabaabbaabbababbabaaaabbabbbbbaabaaabaabbabbbbbabbbbaaabbbabbbbbbababbabbbbbaaaabbababbbabaaabbaabababababbababaaaaabaaabbabbbabbaaababaabbaabababbbbbabababbbbbbaabbbbabaabbababbabbbaaabbabbaabbbbbbabaabbbabaabbbbbbbbaabbaaabbbabababbaabaabbbbabbbaabbbbaaabbbbbbbabababaaababaaabbabaaabbbbaababbaaaaaabaabababbabaabbbbbaaaaaaabaaaabaabbabaaabababbabbabbaaaabbaabbbabaaaabaaaaaabababaabaabaabbabbbaaabaaaaaabaabaabbabaabbbbabbabbabbbbaaaaaabbbaabbaabbbbaaaaabbaabbabbaaaabaaaaaababaaabbbbaaaaababaaaaaaaabbbabbaabbbbaaaababaaabaaaaabaababaabbbbaabbaabaaaaaaaaababbbaabaaabaabbaaabbaaabbbbbbabbabbabababbbaabbbabbbbbbaaaabbabbabbbbbaaaabbabaaabbaaaaaaaabaaabaabababaaabbbaababbbbaababbbbaabbabbbabaaabaaaababbbbaabbabaaabaabbbbaaabbbaabaaabaaaaaaaaabbbbabababbbabbbbbbbbaabaaaababaaaaaabbabbababaababababbaabaababaaabbaabbbbbbabbbbaabbbababbbbbbbabababbabbabbabababbaaaabaabaabbabbaaaaaaabbbabaabaaaababaaabaabbaaaabaababaaabbbbbbaaabbabbbaaabbbbbaabbbaaabbaaababaabbabaaabbabaaabaabaabbbaabababbabbaabbbbbababbbbbabbaaabbaababbbaaaabbababbaaabaabbaabbbbbbbababbbbabaabababbbbbbbbababbabbbbbababbbaabbbaaaaabaaabaabbaaaaaaabaaababaabaaabbbbaababbaaabaaaaaaabaababbaabbbbabbbbaababbabababaababaaaaaaaabbbbbbbbbbbbbabaabbbbabababaabababbbbaaababbbbbbbabababbbbaaabaaabaababaababababbabbbabbabbaaabaabaaaabbbbbbaaaabbbabaabaabaaabbbaabbaaaababbaabbbbbabbbabbaabaaabbbbabbbaabbbabaabaabbbaaabaaaaabaaaaabababbaaaabaabbabbbaaaaaabbabaabababbbaabbaaababbaaabbbaaaaaababbbaabaaabbbabbbbbbabbbaababababaaabaaaabbabbbbabbbbbabaabaaaaababbbabbabbabaababbbababbaabaabbbabbabaaaaabbbbaabaaabababbabbaaaaabbababbbababbbaabaabbabbbbaabbabbaaaaabababbbababbaabbbabaaabbaabbabaaababbbabababbbbabbaabbbbbbabbaaabbbbaabbbbbaaaababbaabbbbbabbbbabbbaaababababbaaaabbbabababbaabaaaababbabbbaababaaaaabbaaaababaaaabaabaaaaaaababaabbbabbbbabbbaabababbaabbabbababbbabbbabaabbbbbababbbababababababaabbbaaabbaabbbbaabbaaaabaababaabaababbaaababbbaaabaabbaabaabaabaababbabbbabbababbbbaaaaabaabbbababbbaaabbabbbbaaabaaaababbbbaababababbbabbbaabbabaaaababbbbaabbbbbaabaaaabbbbababbbaaaabaaabbabbaabaaabbaaaaabbbbbbbaaaabbabaaababbbaabbabbaabbabbababbaaaaabaabaaabbabaaabababaaaaabbabbaababbabaaaaababaaababbaaaaabaabbaaababaabababbabababaabbabbabbaabbbaabaabbbabbabaaabbbbbbbaababbabbabaabbbabbbbaababaaababbabbbbaaabbbaabbbabbabbababbbabaabbbaabbabbbababaababaabbababaabaaaaaabbbaaabaaaaabaaabababaabbbbbaabaabbaababaaabbbbabaabaababaababbaaaabbaaabbaabbaaaabbbbababaaababbaaabbbaaabaaaaabaabaabbabbabababbbabababbabbaabbaaababbbbbbaabbbbabbbabbbaaaaabaaaaabbbbbaabbabbbbbbbbaaabbaabaaabbbbaaabaaaaabaababbbababaababaabbaaababbbabbaababbbabbabbaabababbabaababbbaababbbbbbabababbbbbaabbaaabbaabbaabaabbbbabaaababbbbaaaabaaaabaaaaababaababbbbabbabbaaaabaaabbaabababbaaaabaaabbabaababbbababababbabbabbbbbaaaabaaaababbbbbaabbaabababbbbabaabababaaaaaabaaaaababbbbbbabbbaabbbbbbbabaabbbaaababaaababbbbbbbaabbababbaabbabbbabbbaabaaabbabbbaaabbabbbbaababbbbaabaaaaaabbbabaaabbbaabaabbababbbaabbbbaabbabbbbbaabbbabbaabababbaaaaaaaaabbbbababbbbaaaababbbbbbbabbabbabbbbbbaaabaaaaababbbbabaaabbbbabbabaaaaaaabbaababbbabbbaabaabbaaaabbbabbbaaaabaaabaabbbaabbabbababbbbbaaaaabbabaaaaaaaababbbaaababbbabbbbaaabbbbaabbbabaaaabbbaaaaabaaabbbabbbababbbbabababbbbaaabababbaaabbbbaaabbaaabaabaaabbbabbbbbbabaabbbbaabbbbabbbaaabaaabbbaaaabbbaaabaabaaabababbbbbbabababaabbaaabaaabbabbaaabbabbbaaabbbaabaabaabaabbbbabbaabbaaabbaaabaaabbbaabbbbabbbbbaababbabaabbbbbbaaabbbbbabbaabaaaabbaabbbbbbabbababbabaabaabbbaaaaaabbbaaabbabbaabababbaaaaaaaaaaababaabaababbbaabbaabbaaabaaaabbbbaaaaaabbaabbbbaaabbabaaaabaaabbabbaaaaaabaabbbabbabbaaabbbaababaaaabbbabaaaaabaaaaabaabaaaabbaabbbbaaabbabaaabbbbbbba
babaaaaaabbbabbabbaabbabbbbbaaaababaabaabbaabbbabbbbbabababaaaaabbabbbaaaaaabbbababbaabbaababbbbbbbaaaaaaabababbaabaabbabbabbaababbbbbaaaaaaabbbababbbaababbabbbabaaabbaaabaabbbbbaaabbbbaaabbbababbabbaabaabbbaababbbaaaababbaaaaaaaaababaabbbabbbaaabbbbbbaabbaabbaabbbbbababbbbbaaaabbbbbabbabbbaabbbaaaababaabababbabbaabbaabbaabaaabbabbabaaaababaabbabababbbabbbbaabbbaaabababaabbbababbaabbbbabbbbbaababaababababbabbaabbbaaaabaabaaaaabbababbbbbaaaaaaaabaaaaabaaaabbbaabbbbabaabbabbbabaabbbbbbaaabbbabbbababbaabbaaabaababbbaaabaaaaaaaabaaaaabbbbbabbbaaaababbabaaabbbaababaaabababbababaabaabaaabaabaaaaabaaaabaabaaabaaaabbaabaaabaabaabbbabababbbbbabaabaaabbbaabbbabbabbababbabaabbbaababbabababbbaabbaaabbbbbabababaabbabbbbbbbabbbaaabbaabaababbabaaabaabaaabaabaaaabbbaaaaabbbbaaabbbbaababbabababbaabbbbbbbababbaababbaababbbabaababaaabbbaaaaaabaaaabaaabaabbabbbababbbbbbaabbbbbbaabbabbbbbabbbbbababbbaabaaabababbababbbabbbabbbbabababababaaaabbbabaabbbaaaabaababbabaababbabbbbbbbbababaaabbababbbbbbbbaaabbbbaaaaababbbaabbaababaabaaaaaaaaabaabaabaabbbaabaaabbbbbbabaabbaaabaaaabbaabbbaaaaaabababaaaabbbbaaabbabbabbaababbabaaababaabbbaaaaabbaabbabaaabbaaaabaaaabbbbabaaaababbaaaabaababbbbababbabaaaabbbabbaaaabaabaabbaaaaababaabbbbbabbbabbbaabaaaababbaaabbbbaabaaaaabbababaabaaabababbbbbaaabbbabaabbaabbbbbabbbbaababbbbababbaaaaababbbbbbabbaaabaabbbaaabbaabaabbaaaababaabaabbbabbbbbaabababbbbbbbbaababbaaababaabbaaaabaaaaabaabbaabaabbbabbaabbababababbabbabbaaabbaaababaaaabaaaababbbabaaaabbbbbbbbaabbaaabbaabbbaabbbbbabbababbbaaabaabbabbababbabbaaababbaaababbbabbbaabbabbbbbbaabbbbbaaaababababaaabaaabbbabaabbbaabbbaaaaabbabbabbaababbbaaabbbabbbaaabbbbbbbaaabaaabbbbbbabbababbaaabbaabaaababaaababbabbabaabaabaaabaaaabababbaaababababbbaaabaaabaabbbaabababbaabbbaaaaaabbbbbbbaaabbababbaaabababbaaaaaabbbbbbaabaabbbbaaaaaaabaaaabbbbababaababaaaababbbaaaabbabababaabbaaaaaabbaaaaabbbbbbaabaaaaaabbbaabbabbabbaaaaabababbabbababaabbbaaaaabaabbbababaaabbabaaaaabbabaaababbaababbbaabbabbbbbabaaabbabbaaaaabbbabbaaabaaabaabaabbabbbabbbaabbbbaabbbaabbbbabbbbabbbaabbabaabbaabababbabbabaabaaababbaaaaaaabaaaababbbbbbaaaaabbabbbabbbabaaaaaabaaaababbbaabbbabbaaaababbaabaaabaaabbbbaaabbaaaabbabaaabbbbbabababababbbabbbbaaaaababaabbbbabababbaabbbbbbaabbaaabaaababbbababbbbbababababbabbaaabaaababbabbbaababababbbaaaaaabbbabbbababbbbbabbbabbaaaabbaababaabbbaabbbbaabaabbaaaabbbabbaabaabbbbaababaaababaabbbbabbaabbbabaaabbbababbbabbbabbabbaabbbbbbbabbabaabbbbabaabaababbbbaaaababbbaabbabaaaaaabbabaaabaabababbabbbbbbaabbabbbabbaabbbaaaaabbaaaababbbbbbabbbabbbbbaaaaaaaabbbaabbbbbbabbabbaababbbbababbbbbbabbaaaaabbbaabaababbaabaabababaababaabbababbaabaaababbaabbaabbbbabbaabbbbaaabaabbbabaabbaaaabbbaabaaaababbabbbabbabaabaababbbbbbbababaaabbababbbaaaaababababbaaaaabbbababbbbabaabaaaaaabbbaababbaaaaaaabbaaababababaaabbaababaaababaaaabaaabbbbabaabbaabaaabbaabbbababaaabbaabbbabaaaababbabaababbaaaabbaaababbbabbbbababbaabbabbababbabbbbbaaabaaabbbbaabbaabbbababaaaaaabbabaabbbbaaabaabaaaabaaaabaababababaababbababbabbbbbaababbbabbbbaaaabbaabbabbbbbababaabbbbbbaabbbaababbbabbbbbaababababbbaabaabaaaaaabbbbaaaabbaabbaaaabbbbaabbbaaaaaabbbaabbbaaaaabaaaabaabbabaabaababaaaaaabbbaabaabbbaabbabaaabbabaaaaaaaabbaabababbbabaaaaabaabbaaaabbababbabababbabbbbabbbababbbbbbbabbabbbabbbaaaabababbaaabbbbbaaabbbabbabaabbabbbababaaaabbbaabbaaaaaababaaabbbbabababbbaaaabaaabababaaabaababaaabaaabbbaaabbbbbbabbbabababaaaabbabaaabbabbaaabaaabaabaaabbaabbbbbaababbbaaabbbaabbbbbbabbaaaabbaabbbbbaabbbabbbbbbbbaaaaaababbaaaaabbbabbaaaabaaabbababbabaaaabbaababaabbabababaabaabbbbbaabbabbbbbaabbbbabaaaabbbbaabbbbaaaabaaaaaaaabbbabbbbaabbbabbbaababbababbbbabbaaaaabaaaabbaaabaabbbababbaabaabbaabbababbbbababbbbabbabbbabaaaaaaaaabaaaaaababbbabababbbbbabababaaabaabbabbabbabbbaaabbaaaabababbabaaabbabbbaabbaababbbbabbbabbbbabbbbbbaabababbbaaabbbabaabbaaaaababaabababbbaaabbbababbaaabaabbaabaabababbabbaaabbababbbbbbbbaabbaaabbabaaaabaaaabaaabbbbaaaabaabbabbabaaababbaaaabbaaaabaabbbbbaabaabbababaabbbaabbaabbabbabbaaabbbabaaabababbabbbbbbabaabbabbaabbaababbbabaaaababaabbabbabbaababbbbababaaaabaaaabbbaaaabbbbbbbbabbabbabbbbbabbbabbaabbbbabaaaaaabbaaabbababbbbabbbabaabbbbbaababbbabababbbbbaaabbbbbbabaabaaabaaabbbaaaabaabbabaabaabbabbaaaaaaaabababaababbaabbaaababbbaabababbaaabbaaababaababaaabaaaabbabbbaababaabbabaababaabbbbbbaaaaabaaaabbabbbaaaababaabbabbbababaaaaabaaaaaabbaaabaaabbabbbabbbbbbabbbaaaaaabababbabaaaaabaabbbabbaabaabbbaababbabababbbaabbbabbbbabaababaaaababbbbbabbaaaaabbabbbbbaaaaaabbaabaababbbabaaabbbabbaabababababbaaabbbaaabbabaabaaababbbbbabababaabbaaabbaaababbabaaababbabbaaabbaaaaabaaabbbbabababbbbabbaaaabaaabaaabaaaabbabbabbabbbbbabababaabbaababbaaaababbabbaababbabababaaaaaabbabbbababaababbbbbbaaabbbaabbabaabbaaabbbabbaaaabaababaabbbaaaaabbbbabbaaaabbaaaaaaabaaabbbbabaabbabbaabbaabbabbbaaabbbababbbaaaaaaabaababaabbababbbbbbaabaabaaaabaabaaabbaaaaaabbbbbaaabbbbabbababbbbbbbbaaaababababbabaaaabaaaaabbabbaababbaabaaaaabbababababbbabaabbaaaabaabaabaaaaabbaabbaababaababbabaabbbbaaabbbabaabbbbabaaaaabaaaaaaabbbbbbbaaaaabaaababaaaabbbbaaabbabbabbbbaaababaabbaaabaabaabbaabbabbaabbbbbaaaabbaaabbaaaabbaaabbbbaabbaabbaabaaabaaaaabaaabbabbaaababbaaaabbbabaaabbbabaabbbaabaababbbaaaababbaaababbabbbabbbbbaaaabbbabaaababbbababbaaaaaaaaaaaaabababbaabbabbabbaabbabbbabababbbbbbabbaabbbababbabbbbaabbbbababbaaababbabaaabbababbbbbaaaabbaababaabbbaaabaabaababbaaaaaabbbaaaaaabbaababbaabbbbabbbaabbaaaabbabbbaabbbabbabaabbbabbbbabbbabbaabbabbabbbbbabbabbaabababbababbaaababbabbaaaaaaaaaaabbaaababbabbbbbabaabbbaaaabababaabaaaaaababaaababbababbaabaaabbabaababbbbbbaababaaabbaaaabababbabbbaaabaabaabaabbbbababaaabbbaabaababbaaabbbbbbabababbaaabbbaabbababaaaaabaababbababbbabbabbabaaaababbababbaabbbaabbbbbbabbbbbbabaabbbbabbabbbaaabababbaaaaaabaaabbbaabaabaaaaaabbbbbabbbbbbbbbbbaaabbaabbbaabbaaabaabaabababaaaabaabaabbbbaaababbbaaaaabbabbbbabbabaababbbbaabbabaaabbaaaabbabbbaaabbabbbaaaaaabaabaababbbaabbbbaabbaabbaaabaaaaababbaaababbbbbaaaaabbbbabaabbababaabbbbaababbbbbbbabbabaabbbbbbbaabbbbaaababaaabbbbabbbbbbbababbbbbbabbbaabaabbbababbbbaabbbbbababbaaaabbaaabbabaababbbabaaabbabbbbaabbabaababbbbbababbbbbababababbbabaaaabbbabbaaaaaaaabbbaaaababababbabbaaabbbabababbabbbbabbbaabababaabaaaabbabababbbbaababababbbbbbabbbababbaaabaaaabaaaabbbaaaabaaaaabaaabbabbbbabbaaabbabaabaabaaaababbbaabbaabbaaabbabbaabbbababaabaaaaaabbaabbabbaaababababaabaaaabbaabaaaabbbabaabbbabbabaaaaaaabbabaabbaabbbaaaaabbaabbbaabaabaaabaaabaaaaaabbbbaaabbaabbaaaabbbaabbbababaabbbbaabaabbaabbbbababbaababbbaabbbabababaababbaaaaabbbaaaabbbaabbaabbbaaababbababaaabaabbbabbbbbaabbaaaaabbbabbbbabbbbbbbbbbabaababbaaaabaaabaaabaababbbababaabaabbaababaababaabaaaaababaababaabababbbaaaaabbbbababaabababaaabbbbaaaaaaaabbbabbaabaaabaaabbbbbabbbabaababaaababbaabaaaaabaaabaaabaaabbababbbbbbabaabbbbabaabbabaabaaaabbabbbbaababbaaabaaabbaabbaaabaabaabaaabbabbaababaabaabbabbaabaaaaabbaabaabbbbaabbbbaabaabababbaaababaabbbbaabaabbabbabbbbbabaaabaaaaabbababaabbabaabaaabbbabaabbaaaaaaabbbabbaabbaaabaaaaaabbaaaaabbbabbbabbbababaaabaaabaaaabababbbbbabbaaababaabbaabbbabaabbbabaabaabbabbabbbbaababababbababbaabbbbbbaababaabbbaabaaabbbabbaaaabbbabbaababaabababbbaaaaaaabbaabbbbaaabaaabbbaabaabbbbbaabbbbbabaabbbbbabbaaabbabbbabbabaaabbbbbbabbbaabbbababbabaaabbaaaabbaaabbbbbbbbbabaaaaabbaaabaabababaabbbabbababaaabbaaabbabbbaaabbaaabaaabaababbaabababaaabaabbabaabbaaaaaaababababaaaababababababbaaaaaaabaaaabaabbbaaabbaabaabbaaabbaaababbaaaabbaaabbaabbaaaabbaaabaaabbbaabbbbbbaabbaabbabbaabbbaabbaaaaaaababaabbbabbaabbbaaabaaabaaabaabbaaabaaaababbbabababbabaababbaaaabaaaaababaababbbabbbbbabbaababbaaabbbbbbbbbbbbaaababaabaaabbaabaaabaaaabaaababbbbbabaaabbbabbbaaabaabaaabababbabbaaaabbbaababaaababbaabbbbaabababaabbbabaaaababaaabbbabbbbbbbbbbbbbaaabbabbbaabaababbaaabbaaaabaaabbaaabbbaabbbaaabbbbaaaabbaabbbababbababbbbbbaaaaaaaabbaaaaaabbabaaabbbaaaaaabbbbbbbaabaabbaaabbbbaabbbaaababaabababbabbbbaababbbbaaabaabbbbaaabaabbabaabbabbaaaabbaaabbbbbbbbaababbabbbabbaababaaaabbababbaabbaabaaaaaaabaaababaaabbbabaababbaababbababbbbabaaabbaaaaaababbbaabbababababaaababbbabaabaabbbabbabaabaababbaaabbababbbaababaaabaabaaaabbbbabbbbabaaabaabbbbbaaabbabbbabbabaabaaabbbbaabbbbbaaaaaaabbbaabbaaaabbbabbbbbaabaabaabbaabaababbaabbbabbaabbaaaabbbabbaabbbbabaabababbaabbbbbabbbbbbabbabbababaaaababbbababaaaabbbbaababbabbabbbabbbabbaabbaabababbbaabbbaaaabbaabbabbabaaaabbbbabbaaaabaaabaabaabbaaaaaababbbbabaaaaabbbbabbbaaaaaababbbabaabaaaaabbaaaabaaaaabaabbbbababaababaaabaaaabababbbbbaaaabbbabbaabababbaabaabbbaababaabbbaaabbabbaabbaababaabaabbbbbbaaababaabbbaaaaaaabbababaaabbbbaaaaaaababbbabbbbbbbabbbababbbabaabaabaaaaabbabbbbaaabbbaabaaaaaaaaaabbaaaababbbabbabababaabbbabbababbaababbaababbbbabaaabababaaaaaaabbababaaabaabababaaaababbbbabbbaaaabbbbbabbabbaabbbaaaaababaaabbbaababaaabaaababbabbbbaabbaabbaaaaaabbbaaabbbababbabaaaaababaababaabbbabbaaaabaaabaabbbbbababbaabbabbbaabaabbaaabaaabababbaabbababbbabbaaabbabbbabaabbabaaaaaabaaaaaabbaabaabbbbaaabbabaabbbabbababbbbbbabbaaabbabbaabaababaabbaabaaabaabaaababaaaaaaaabbbabbabbabaaaaaabaababbbbbbbaabaaabbbaabbabababaaababbabababbbbabbaabaabbabbaaabaabaababbaabbbbabbbabbbaaabaabbbabbbbbbabbbbbabbbabaababbababbabaabbaaaaaabaaaaabaabbbbbabbaaabaabbbaababaababaaabbbababbaaaabbbbaabaabbbbbbabbbabbaabaabbabbabbabbabaaaabbbbbaaaabbabbaaaaaaabbbaabbaaabbaabbbabababbbabaaaabbababbabaaababbbaabbbabbbabbaababaaaabbbabaababbbbbabbaaaaaabbbbaababbbbabaaaaabbabbbbbaabbbbabaabbbaaabbbbababbbaabbabababbaaabbaabbbbaabbaababbbbbbaabbabababbaabaabbabaaabaabbaabbabbaabaaaaaaababaabaaaaaababbabbbbaaabbbbbbbbabaabbbabaaaaaabaaaaaabbaabaabbabbabbaabbbabaabaabbbbbaabbbabababbabababbbbabbaababbbaabbbbaaabbababbaababbbabbbbaababaaabbbbbbabaaabaabbbabaaaabbaaaaaaabaaabbaabbaabaaaaabbbabababaababaabbaaaaabaaaaabaaaabbaaaaabbbabbbbaabbabaaabbabbbbaabbaaaaabaaabbabaaaabaabaabbababbbbbbbbaabbabbaaababbaaaabaabaabababaaabbabbbaaaaababbbabaabbabbbaaabbbbabbbabbaaaababbbabbaaaaaaabababbbaababbbabaaaabbbbabbbbbbbabbbbabababbababaababbbabbabbbaabbbabaaabbbabaabbabaaaaaabbababbbababaaaaaababbaababbaaaabaaaabbaabaabbabbababbaaaabbabbaabbbaaabbbaabbaabbaaabbabbabbbbaabaabaabbaaabbbabbabbaababaabbaaaaaabbabaabbaabbbbaababbababbabbbbbbbbaaaabaaaaaabaaabababaabaaababbaabbaaaaaababbaabbbaabaaaabbbabbaabbbbbababbabbababbbbbbbaababbaaaaaababbaaaabbbabbbabbbaaaabababbbbbabaaaababbbbabbbbbbaaaaababbbababbbbaababbaabbabbbaaaabbbaaabbbaaabbaaababbaabababaabaababbbbaaaabbabababababaabaabababbbabbbabaaaabbabbaaaaaabbbaaababbaaabbabbabbbbbbbaaabbbaababbabaaabaabaaabbbbaaaabaaaaaabaabbaabbabaaaabbaabbabbbbaabbaabaababbbababbaaababbbbabbabbabbbbbbaababaabbaababaaabbbaabbbbababbbbaaaaabaaababbabababbbaaaabbabaababababbbbbbaabbabbbbaaaabbbbabbbabbbbabaaaaabbaaaabbaaabaabababbaababbaaaabbaaaababaaabababaaababbabbababbbabaaabbbbaabaaaaaaabaaaaaaaabaaabbbabaabbbaabaabbabbbabbbaabaaaabbbababaaaaaaabaaaabababbaababbaaaabaaabbbaabbbbabbbabbababaabaabaababaaabababbabababbbbbbbbabbbbbbbaabbbbbbabbaabbabaabbababaabababbbabbbbaabbbbabbbbbaaabbabbabbbbaaaabbaaaabbaaabbabaabababbbabaaabbabaaabbabaaababaaabbaaaaaabbabababbbabaaaabbbbaaabababababbabbbaaabbaaaaaaaabbbbaaabaaaabaaaabaabababbbbbabbababbabbaababaaaabbbbabaababababbaaabaaaabbbbababaababbabbaabbaaabaaabaababbbbbbbbabbaaaaabaababbababbaabbaaaabbababaababaabbaaababaabaabaaaaaaaabbbbaaaababbbbbaabaaaabbaaabbbaaabbbbaabababbaaabbabbbababaaaabbbbbabaaabbbbbbbaaaabbabaabbbabbbabbabaabbbababbaababbabababaabaaabbabbbabbbbabbaaaabaaaabbbbbbbbabbbabbbabaaabbbbabbbababbbbabaabaababbbbbbaabababbaaaaabbabaabbaaaababbaaabaaaababbababaaabbbababaabaabaababbbbbaaabaabbaabaabaaabbbaabbabaabbbbbabbbbabbabbaaaaabbbbaaababbbaaaababaabbababababbaabbaababbabbabaabaabababbaabbbabbbbbbbbbbababbbababbbabbabbbaababaababaabbaaababbababbaabbababbabbabbbbabababbaabaaabbabaabaabbbbbabaaabbaaaaabbbbbababbabaabababbabaabbaaaaabbabbbbbaaabaabaaababbbbabbbbaabbbbabbabbbbbaabaababbabaabbaaaaabaabababbbabbbababbbababbabbabababbabbbabbbbaabbbabbaabaaababaaabaabbabbbbaaabaabaaaaaaaabbaabbabaaaabbaaababaabaabbbbabaabbbbbbbabababbababbaababababbbaabbaaaabaabaabbbababaaabbabaabbbabbababababbabaaaabbaaaabbbbbaabbbaabbabbbbbabaaabbababaabbaaabbbaaaababbbabbbabababaaaaabbbabbbaabababbabaaabbbbaabbbbaaaabaababaababbaaabbbaabbaabababbaaabbabbbbbaabbbaaababbbbaaaaaababbbbbaababaaaaaabbabaaabbbabaaaaababbbbabaaaaaaaabbbbbaabbbaaabaabababbbbbbabaaababaabaaaaaaaabababbaaaabbaabbbabbaabbaabbbabbbababbbbaabbbbaababbbbaabaabaabbaabaabababbababaaaaaabbbaabbababaabbaaabbababbbababaaaaabaaaababbabababaabaabbabbbbaabaabaabbbaaaabaaabbaaaaaaabbbbabaaabaabbbbbabaaaaabbbbaaabbbbabbbbbbaababbabbbbabbbbbabababbabaaabaaaabababaaaaababbaaabbbbbaababaabbaabbabaabaabbaabbbbaaabbbababaabbabbaabbabbbbbabbababbbabbbbbaababbbabaaaaaaabaababbaaaaaabbbbbabaaaabaaaaaabbbabbaaaabbaaaaabaaaababbbbaabaaabbbabbabbaabbabbabbbabaaaaabbabbbbbababaabbaabbbbaaaabbbbbaaaabaaaaaabbbbabbbbbabaabbaabbaaaaabaaabbaaababaabaabbbabbabbbbbbbabaaaaaabbbaaaabaaabaaaabbbbaaaababbababaaaabbaabbabbabbbbaabbbaababaabaabbaaaaabbbbabbabababaaabbaaaaabbbabbaaabbaabbbbbbbaaaaabaababbbbaabbbbbbbbbaaabaabbbbababbbababbbbbabbbbbbabbabbbaabbaaaaabababaaaaabbbbabbaaabaabbababbbbbbaabbbbabbabbbaaaababbaaabbabbbabaaabbbabbbbbababbabbbabbabaaabbbbabaabbaababbababaabbbabababaaaaabaaabbaabaabababaabaabbbbaabbaabbaaaabababaaababbbaabbbabbaabbbabaaaaaaaabbababbaaabababbaaababbabbaaaababbbbabaaababaaabbabbbabbbabababbaaaabbbbbbabaaaabababbbbababaaaabaaaaaaaaaaababbbabababbbabaaaaaabbbbabaaaaaabbbbabbbbbabaaaaaaabbbaaaaabaababbaabbaaababbbabaabbaabbabbbaaaabbbbbaabbaabaaabaaabbbbbabaabaaababaaabbaaaabbbabbabaaababaaaaaaabbbabbabbabbabbbababbabababbabaababbabaaabaaaabababababbbbbabbabaabbbbabaabaabaaaaabbbbbbbabaaabbaaaaabbbbbabbbbbaaabbababaabbaababaabbabababbbbababbaaababaaaaaabababbbbaabbaaaabababbaabbbaaababbbababbbabbaababaaaaabbbaababaabbbaaaababbbbaaabbabaabaabbbbabaabbbbaababbaaabaabbbababbbbbaaaaabbbabaaaababaaaaabbbbbbabababbbaabaababbabbbabbaaaaabbbababaaaaabbabbbaabbbbbaabaaaaaabbbaaabbabaaaaabbabababbbaabbabbbaaaabaaabababababababbaaabbbabaaabbaabbbbaaaabbaabaaaabbbabbbabaaaaaabbaaaaababbbbababbbaabaaaabbabaaaaababababbabbbbaaabbbbaaaababbbaaabbbbaaababbbbbaabbbbabbbbabbaababaaabaaaabaababaabbbbaabababbbbabaaabaaaaaaaabbbbabaabbababbbbaaaabbaabbababbaabbbbbbababbabababaaababbabbabbbaaaaabbbaabbaaababbabbbaabbabaaaabbaaaaaaaabbaaabaabbbbaaabaababaaaababbbabbbbbbbbaabbbabbabbbabbbaabaaabbbbaababbabbaaabbbbbaabbabaaaabbaaaabaababbbabaabbabababaabaaaabbbbbabababbaaaabbbaaaaaabaabbaaaaabbaabbabbbaaaababbabbabaabbbaabbaababaaaaaaabbbabaaaaaabbaabbaaaaaabaaabaabbaaaababaaaabbbbbbaabbabbbaababbaabaaabbbbbabaabbababaaaababbbbabbababbbaabbbbbaabbabbaaaabaababbbbabaabaababaaabbbaaaababbbbbababbaababbbababbbabbaabaabbaababaaaabbbbabababaabbbababbbaabbaabaaabbabbaaabaaabbbbaabaaabbbbbbabbabbaabbababbbbaababaababbabbbbbababbabaaabbbbaabbbaabbbbabbbbabababababbaabaaabbbabbaabaaababaabbbbabbabbaabbbabbaaaaaababbbbaababaaaaabbbaabbbabbababbababbaabbabbbababbaabaaabbaababbaabaaaabbabaabaababbbbaababaaaaabaabbabbaabbabbabbbabbbbbbaabbaaabbaabaabbbababbababbaaabbbbbaaabbabbbbababaabaaaabbbbbbaaabbbaabbabbbbbbbbbbbaaaaaaaabaaabaabaabababaabbbbbabbaaaaaaababaabababbaaaabababbbabbabbbaaabbbbbaababbaaababbabbaabaaabbababbaaaabaaaabbaabbbabaaaaaaabaaababbbababababbbabbaabababbbaaabaabbbabbbabbabbbabbabbaabbbabaabababbbbbaaaabaaaaaaaabbbbabbaaaabaaabaabbabaaaabaaabbbbabbbababbbabaababaabbaaaabbaabbababbabbbababababaaaabaaababababbbbabbaabaabaabbbbbbabbbabbaaabbabbabbabbbbaaababaaabaaaaaaabbababbabaabbbbbbbaabbbaaabbaaabaaabbbabbbbbabbabbbabaaabbbbaabbbbaaabababbbabaabbabbbbabbbabaaababbbaaaaaababbabbabbbaaababbbabaaaaaaaaaabbaabaabaabbabbabbbbabaababbbbababbbabbabbbbaaaabbaabbbababababaabbabaaaabbbbbbbbbabbbbaaaaaaaaaababbbbbababbbabbbbabbabbbbbbbbbbbaabbbaabaabbbbabbabaababbbabbbabbbabbbabababbaabababbaababaaaaababbbbabbbabbababbbaaabaaabbbababbbbaaabbbbbaaaaaabaabababbaaaaabbbabababaaabababbbbabbaabbbbabbaabbababbbbbbaaabbbbbbbbbaaababbbbbbbbbbbbbababbaaabbaabbabbbaaabaabbaabbabababbaabbabbbbaaababbabbabaaaabbbbbaaabbabaaabababbabaaababbababaabaabaaababbaaababbaaabbaaabbbaababaabaababbbaaaabbabbaabbbbaaaabbabbabbbaabaabbbbaabaabbbababbbaaaaaabaabaaaabbbabababaababaaababbabbbaababbababaababbaabbbbbbbbabbabbaaabaabaaabbaabbbbbbbabbbbbabbabbbaaaabaaabbaaaaabababaabaabbaabbbabaabbabbaabaaaabbaabaabbabbaabbaabaaabbbabbabbaababbabbbbaabaabbbaaabbbaaabbaabaaaaaaababbabbbaaaaababbbbbabbbbbbbbaabbabbababbbaaabbbbaabababbbaaaabbabbbbbababbaaabbabababbaaababbaaabbabbbaabbbbbbbbaaaabbbaaaaabbbbaabbbbaaaaaaabbabbbabababbbabaabaaabbbaabbaabbaababababbbaaabbbbbbabbbababababbbbabbababbbbbbabbababbbaaabbabaaabbabababbbbbbabbbbbaabbbbaabaaaaabbaabababbabababaaaaaaabbaabbbbaaabbaaabaabbabbbaabbbbaababaababbabbbabaabbaaaabbaabaaaababbaaabaaaaababbbaaaaabbaaababbababbababbbabaababbabaaabbbaababaaaabaaababbbaabaabbababbbbbaababaabbaaabaaaaaababbbaabababaaaabaabbbbbababaaaaaaabaaabaabbabaaabbbabaabbabbaabaaababbbbabbbababaababbbaabaaaaabaaabaaabaabaaaaaabaaaabbaaabbbababbaabaabaabaabbbbaabbbabaaabbaaaabaabaaaababaaaaabbaabaaabbaaaaababaaabbaabaabbbaabbaaabbaabaababbaabbaababbbbbaaabaaaaaabaabbaaabbbbabbbaaabbbababaaabaaabaaababaabbabaaabaabbbbbbbbbbbababbbbaaabaabbbabbbabaaabbbbbaaababbbbaaabbabbabbabbaabbaabababbabbbbbbabaaaabbabbbabbaabaaaabaaabbabbabbbaaabaaabbbbbaabaabbbaaaabbaababababbaaabaaabbaabbaaabaaaabbbabaabbbaaaaaabbbbbbbbbbbbbbbabaaabbbbaaabbbabbbaaababbbabaabbaaabaabbbaababaababbaaaabbabbbbaaabbababaaaaaaababababbbbbabbbbbaabaabaaabbbabaababaabbbbaaabbbbaaabbbabbbbaabaaaaaabaabbbaaaabaababaaabababbbabbabbbbbabaaababababaaabbbabbbaabbaaabbabaaabbbbaaabababaaaabbaabaabababbbababababbbbbabbaaabbbabbbbbbaaaaabbbaaaabbaabbbaaabaababbabbabaaaaaaaabaaabbaabababbababaaaababbbabaaaababaababaabbabbbaabbaabababbaabaabaabbabbbaabaaaaabaaabaaabbaabaabbaaaabbbabbaabaaabbbabaaaabaabaabaabbabbaaabbbababbbbbaaaaaababababbbbababbaaababbabbaaababbbaabbbaabbbabbbababaabbaabbbaabaaaababbbabbbbabbbabbbbbaabaabaaababaaabbbabaaaaaaaababaabbbbbbbbaaabbababbabaabbbababbaabaabbbaabaabbaabababbabbabbaababbbbbaaababaaabbbbbabbabbbaabbbaabbabbaabbabaabbaabbaabbbaabbabbbbbaaaabbababbabbbbaaabaabbbaababbaabababbaaaaabaaaabbbbabbbabbabbaaabbbabbabbaaabaababbaaaaaaaaabbbbaabaabbaaabaabbbbbbbbabbbbaabbbbbaaababababababbaaaababababbbbabbabbbabaabbbabbbbabbabbbabbabaaaababaaaabaabbbbbaaaaaaaabbaaaabbbaababbbabbbbabaaaaabaaaaabbabaaaaaaabbababaaaaaaababbaaaabaabbbaaaabaabaabaaabbababbbbbbababbabbbbababaabbabaabbbbbbaabaaabbabbaabbbaaabbabbabbbaabbbaabaaaabbbbabbbbaababbabbaabbabbaaabbabbbaabbababbabbbaabbaabababbbbabababbbabbaaaabbaaababbabbabbabbaaabaabbbbbabbabaaaabbbaababbabbabbaaabbbbbaaaaaaabbbaabababaabbbabbaabbbbababbaaaabbbbaababbaaabbabaaabaaababaabaabbaaaabaaababbaaaabaabaababaaaaababbaaabbabbaabbbbbaaaabbbbbbbaabbabbaaaaaaaabbabaaababaaabbabaaaabababbbaaabaaabaaaabbbabbaaabaaaaaaabababaabbbaabbaaaabbbaabbbaababaababbbbabbaaabaaaabbaaabbababbaabbbababaaaaababbbbbbbbbaaaabbbaabbabbabbababbbbbabbaabbbaaaabaabaabbaabbbbaabaabbbbbaaabbbabaababbabbbaabbbbbbbaabaabbbaaabaabaaabbbababaaabbbabbaabbabbaababaabbbbabaaaababbbabaaabababbababaabaabbaaabababbbaabbbbabaaaaabbbabbbaababaabaaabbaaaaaaaaabababbbaaaaabbaaaaabbbaabbaaaaaaabbbabababaaabaaabbaabbbabbbbabbbbbaababbbbabaababbaabbaaaababbaaaaaabaaaaabaabbabbbbbabbaaabbaabbaaaabaaaabaaaaabaabbaabaaaaabbaaaaaaaababaaabbbbbaababaaabbabbaaabbbbbbaaaaabbbabbabbaaaabababbbaaaabbabbabbbabbaabaabbbaaaaaaabbbbaaaabbabbababbbabaabbabaaaaabaabaabaaaaabbbaaabbabbbabbabaabbaaabaaabbbbabababbbbbabbbbbbbbbbaababbbabaabbbbbbbbbaababbbbabbaabaababbabbabbabbababababaabababaabaaabbbbabaabaabbaabbbbaabaaabababbabaabbabbaabaabbbbbabbabaabbaabaaaaabbababbaabaaabbbbaaabaaaabaabaabababaabbaaabbbbabbabaabaababaaaabbbaabbbaabbbbbbbbabaababbabbabaaabbaaaabbbaaaabbbabaababbbabbbababbbbbbbbabbabaabbababaabbaababbbbbaaabbabbbbbbbbbbbbbbabaabababbbbbbbbaabaabbbabababbbbbabbaaaaaaaabbaabaabaababbbbbabbbaaababbaabbabaababbabaaaaabababbabbbbaaabbabaaaabbabbbabbaaabbaaabbabababbbbaabbbbbabbaababbbbbabbabbabbbaaabaaabbbbbabaaabbababaaaabbbaabbabbbbaaaabbabbaaabaabbbabbabbaaaaaabaaaabbbababbbbabaaabaaaaababaaabbbaaaabaababbbabaaaabbbbbaaabbabaaabbbaaabbaabbabbbaabaaabbbbbaabbaaaabaaababbabbbabbaaaaabbbaabbababbbbabaaaaaababbaaabbaabbbbaaabbaabababbbaabbbbbabbabbabbbbaabbbaaababaaabbbabbabbaaabbabbbababbbbabbbaababbbabaaaababababaabbaaababaaabbbbbaabaaaaabbbaabbaaabaabbbbabbabbabbababbabbbaaabbaabaaaaaaaabbaabbaabbbbbaabbbbaabbbbbaabaababaaabbabbabbabaabbbbbbabbbaaaabaaababababaaababaaaabbbbabbbaabaaaabbaaaaabbbabbbaabbbaabbababaabbabaaaaaaababbbabbbaabaaaababbabbbbabaaaaabbaababbbababbabaaaabbbabbbabbababbaabaaabbbbaabbbabbababaabaaabababaabababababababaaaaaababbbababaabbabaabbabbabaaabbababaabbbbabababbbbaabaabaabbaaaaabbaababbaaaaababbabababbabbaaaaababaabbbbbbbbbbaabaaaaabaababaaabaaabbbaabbabaabbaabbaaaaabbbbbabbbabbababaabababbbabaabbbbbbbbaabaabbaaabaababbbabbbababbbaaabaaababbbbabbbababaabaaaabbabbababaaabaaaababbaabbaababaabaaabbbabbbaaabaaabbabbbaabaababaaabbaaaaabbaabbabbbbbaaaabaabaaaababbbbaaaabaaabaaaaababaaaabaaaaaabbbababbbabbaaabbbabbbaababbabbbbbaaabbbbabaaababbbbaababaaabbbbbabbabaaababaabbaabbaabaababbbaabbbaabbbbbaabaabbbbbbaaaaabaaaaabbabaabaaaabababaaabbaabaababbbabbaaabaabababbbbbbabaababbbbabaabbabbbbbaaababbabaabbbabbbaaaabbaababbaabbbbaabaababbbabababbbaabbabaaabaaaabbabababbbaaababbaabbbbabaabbabbbbbbaaabbaaaaababbaaabbbaaabbbabbaaababbbbabbbbabbabaabaaababbbabbbabbbaabbbbbbbbbbaabbabbabbbaababbaaaabaabababbbaabaabbbbabbbaaabbaababbabaaababbbaaabbbbaaaabbbbbbabbaabaababbaaaabaababbababaaababababbbaabaababaabababbbbabbabaabbabbaaaababaabbbbbaabaabbbabbbbabbbbabbaaababaabbbbaaababbaaaabbaaaababbbaabaaabbbbbbbababbbabaaaaabbbbabaabbabbababbbaabbbbabbaabbaaababbaaaababbabaababbbababababbabbaabababaaabbaabaababbabababbbabababaaabbaabbababbaaabbaaaaaaabaaabbbaabaaabbaaaaaaaabbabbbbbbaaabaaabbbbbabbabaaabbbaababbbabbbabaaaaabbabbbbaabaababbbbababbababbbbabbbaaabbbaaaaabbbaababbaaabaabbabbbabaabbbbbbabaabaaabbaaabbaaabbababaaaaaabbbabbaaaaaaabaabbbaabaababbbabaabaabaaaabaaababbabaaaaaabbbbbbbbbbababaabbbbabbbbaabaababaabaabbbaaaaaabbbbbaababbaaabbbabbaaababaabababaaabbbabbaabbbbbbbbaabbaabbbbaabaaaababbbbbabaaaaabaabbababaaaabaabaaabbaaaabbaaabbbaaaaaaabbaaababaaababbbababaaababbababbabaabbaaabaababaaaabaabaaaaabaabbbbabaabbababbababbbbbaaabaaaababbbbbbabbabbbabbbbabbabbbbaaabbabbaabbabbaabbabababbabaabbabbbabbaabababaaababaabaaababbbbabababbbbaaabbbabbbbaaabbbbbbbbaabaabaabbaaababbbbbabbbbaaabaaababaabaabababbbaaabbbbbbaabaabaaabbaaabababbaabbaabbababbbbaabaaaaabbabbbabaaaaabaabbaaabaaaaaababaabaaaaabbbbaababaaababbabbaababbaaababbbbabbbaabaaababbbababbaabababaaaaabababaaaaaabbaaaababbababaabaaabbbaabaabbaaaaaaabbaaababbaaaaaaabaabbaaababababbabbaaaabaaabaaaabbbaaaaaaababababbbaabbbaaabbbaaaabbabaabbbbbbabababababbaaaaabbbbbbabbabbaabbbbababaabaabaabbbabaaababbbbabbbbbabaabbababbaabaaabbbabbbbabbabbaababaaaabaabaabaaaabbbbbbaaabbabaaaabbbbaabbaabaabbbbbbbbbbaabbbaaaabbbbababbbbbbbbaaaaabbaaabbbbababbbabbbbbabababaaaabbaabbabbbbbbbbabaabbbbbabbaabbbaabbbaaaaabaabaababaaabbaabaaaaaabbbbaaaabaaaaabbbbababbbaabbbbbbbabbbababababbbaaabbabaaaabbabaaabbaabaaababbbabbbbbaaabbaabababbaaaabbbaaabbabbbabbbbbbbaaaabababaaaaaaaaabbabbbbababbbbbbaababaabbabababaabbabbababbbaabbaaaaaabaaaabbaaababaaaaaaabababaabaabaabababaabbbbabbabbaaaabbbbbbaaababbabbbbabbbbabaabbbabbabbbaaaabbaabaaabbaaaaabbaaabbbaabbbababbaabbbaababbabbabbaaababaabaabbaaaaababaaaaababbbaabbabaaabbbaababaabbbabbaabbaaaaaababaaaabbbababaaaaaaaabbaabaaaababaaabbaaabbbbabbabbaabbbbbbabbbababbbbbaaabbabaabbbabbbbbbabbaabbaabaaaabbabaababababbababbbbbbbbaaaaaaaaaaaababbaaaababababbababaaabbbabaaaaaaababbaaaabbbabbbabbaabbabababaabaaabaabaabbbabbabbbbaaaaabbbaababbabbabbbaaabbaabbbbababbaaaaabaaababbabbaaaabaaabbaaabababaaabbbabbbbabbbbbababaabbbbbbaabaaabbbbbaabbababaabaabbabaabbbaaabbbbbabaabbabbbaaabaaaaaabaabbababababbbbbbbabaaaabaaaaababbabbbbbaaababaababbabaaababaabbabbaaababbbbaaaabbabbbabbaabaabbbbbaabaaaababaaabbabbaabaaaabbaabaabbbbbababaaababaabbaaabbbbaabbababbbabaaabbabaaaabaabbaaaaaabaabbaaaabbaaaaabbbbabaabbaaaaabaaaabaaabbbbbabaabbbaaabababaabbabbbbabaabaaabbababbbbbabbbbababbbbabbabbbbbbababbaabaaaabaaabbababaabbaabaabbaaabaaababbaaaaababaaabababababababbaaabbbaabbaaaabbaabbbbabbababbabbabaabbbabaaabbbabbaabbabbabbabbabaabaaabaababaaabbbbbabbaaababaaabbabaaaabbbabbbbabaaaabbababbaaabaaabbaababbbbbaaaabbaaaaabbabbbbaaaababaaabbbbabbbaabaababbbaabbbbaaaaaaabbbbaababbabaaabbaabaabbaabaabbaabbbbbabbabbbaababbbbababbbbbabaabbabaababbbababbabaabbbbbabbaabbbababbababaabababaaabaabaabbaaabbabbaaabaababbbaaaaaaababaabaababbaaabaaaabbababbbabaabaaabbbaaabbaaabaabaababaaababaaabbaabaaaababbababbaabababbabbbbbbaaabbabbbbbabbbabababbaaaaabbbbaabbababbbaaaababbabbababbaaabbbbaabbbaabbaabbbbaaaabbabbbabaabbaaabbbabbbbbabbabbaabaabababaaabababaababaabbbabaaaaaabbaaaabaabaaabbbbbabbbbbaaaaabbaabaaaaaaabbbabbabbbaaaabbbbbbbbabbabaaabababbababbaabbbabaaabaabbabaaabaabaabbababaababbabaaabbabaaaaaabababaaaaabbaabbbaabbaabbabbaaaababbbabaaaabbbbabbbbabbbbbababbabaaaabaabaabbbbabbbaabbababaabbbbabbbaababbabaaabababaaabaabaaaaabbbbabbbbabaaaaabbaabababaaaababbababbbbbbbabbbbabaaaaaabaaabbaaaaaaababbaaabbbababbbabaaaaaaabbaababaabbaabaabaaabbabbbaabaaabbbaabaaaabbabaaaabbabbbbbbaaababbbaaabbabbaababaaabbaaaabbaabaaaaabbaaabaabbbababbbbbbbbbaaaababaaaabbbbabaaaaaaabaabaabaaaaaabbbabbbbabaaaababbbaaaabaababbbbbbbaabbabaaabaaabbabbaabbbbaaabaaabbbbabbbabbaaabbaabaaabaaaaabbbbbaababbbbbbbbabaaabbbabaaabaaaabbbaaaabbaaababbbbaaabbbbbabbbaaabaaababaaaabababaaaabbbababaabbbaaaabbbaabbbabbabbbaaabaaaaababbaaaabbaaaabaaabbabbbaaabbbbaaabbbabbabbbababaaaaaababababbaabbbabbbaabaabbbaabaaabbbaaabbabbabbabbaaaabaabbaabbbaabbbabbbaaabbaaaabaaaaabbabaababbaaaaaabbbaaaaabaabbabbbbaabbaaaaaabaababaababbabbaaabbbbbbaaabbbaabaabbababaabbbbbbbbbbbababbabbabaaabbaabbaabbbabbbbaaaabbbbbbaabbaaaabbbaababbbbabbbaabaabbbbbbabaaabaabaabbbaaabbababbbbaaababbbbbabbbbbabbabbbbaabbaaaabbbaababbbaaaaaaabababbaababbbabaabbbbabaaabbababbbababbbabbaabbbbbbbbababbaaabbbbbaabbbbbbabbaaababaabbbbabbababababaaaabaabbbaababbaabbabbaabaaababbabaabbaababaabababaaaaabaaabbbbbbbbabbabbbbaaaaaabbaaabbaabababaaaaabbabbbabbbaaabaaabbabababbaaabbaababbbabbaaababaaaaaababaaaaabaabbabaaaabaaabbbabaaaaabbaabababbbaabaabaaaaaabbbaabbaabbaababaababababbbaaaaaaaaaabbbbababbbaabababbbabbabbababbaaaababbaabbababababaabaaaabaaaaabaaaaaaababaabbabbbaabbbbbbabbbaaaaabbaaaabbbbabbbaabbbbbbaabbbbbaaababbaabaaaabaabbbbbbaaaabaabbaaabbaaaaaabbbabaaaaababaabababbabaabbaaaababbbabbbbabbbbaaabaabaaaaabbbbbbbbaabbbbbaababaaababaabbabaaaaabaaaabaabbbbbbabababbbaabbbaabbabbaaabbaabbbbababbaabababaaaaabbaaabaaaabbbaaaababaaaabbbbaabaabbabaaaaabaaaaaaabaabababaababaaababbbbaabbbbbaaababbaaaababbbbbabbbaababbbbbababbbbaaabbbabbbababbbabaabaaaaaaabaabaabbbbbbaababaabaaaabbbbabbbbbaabaaaaababaaababbaababbbabbbabbaababaabbabaabaabaabbbbbabbbbbbbbabbbbbabaababbabaaaabaaaabbbbaabaaabaaaaaaabbabbaaabaababaaaaabaaaaabbabaaabbbababababbbabbaababbbbaaababababbabbabbbababababaabbaabbaaabaaabaaabbbbbbbaabbbbaaaabaaaaabbabbbaaaaabbaaababababbbaaaabaaaababaabbbbbaaabbbbbbababbabaaabaababbbabbbabbabbbaabaaaaabaaababaaaaaaabaaabbabaaaaaababbbabbbbabbabaabbbaaabaaaabbbbaaabbbababaabaababbaababbbabbbaabbaababaabbaababbabbbbbbbaabababbaabaaaaaaababbaaaaabbbbaabbaaaaaaaaaaabbbaaabbaaabbababababbbabbabbbbabbabbababbaaababaabbbbbbabbabaabaaaaaabbbbbabaabbbbbaaaaababababaabbabaabaaaababaaababbbbbaababaaaababbbbbaababbaaaabbbbbaabaaaaabbbbaabababbaaabababbbbabaaaabaabbbabbbbabbaaaabbabbbabaabbbabaaabababbbaabaaaaaababbbbbbaabaaaaaaaaaaabbaababbaababababbabaabaabbaabbbbaaababbbbbbaabbaaaaaabbaaabbbbaabaabbbbabaaabaaaaabababbaabbbbababbaaabbbbabaaaaaaaaababbbbababaaababbabbbbbaaaabbbbbaaabbaabaaaaaaaabbbbbaabbbbbbbbaaaabbabaaabaababbabababbabaabbbbbbbbaabaabbaabaaaabaabbaaaaaaabbabbbabbbbaabbbaaaaaaaaaaababbabbabaabbbabbabbaaaaabaaababbaabbbbaaaaabbabbaabaaaabaaababbbbabaabbabbabbbabaabbbaaaababbbbbbbbaabbaaababbbabaaabbbbbbabaaaabbabaababaabbbbaabbabbaabbbabbbbbaaababbabaabbabbbabaabaabbbbabaabaabbbabbaabbbbaaaaabaaabbaabbbababaaabaabbbbaabababaabbaabbbababbaaabbaabaaabaaaabbababaaababbaaaabbbbaaaaaabbaabaabababbaaababbbbabbbabbbbbbbbababbaabbbbbaaabbbaabbbbbaababaabbbabaaababbbbbbbaabbbabaaaaabbbaababbaaababbbbbabbabbaababbbabbbbbbbaaaabbaababaaabbabaababbaaaabbaaababbaaaaabbabaaabbbaaababbabbbaaaabbbabbbbaaabbbbbbabbbababbbbbabbbaaaabbabbbabbbaaababaaabaaaabbbabaaaaabaababaabbabbabbbabababbbabaabbbaabababbaabaaaaaabbaababbbbbabbbabbaabaaababbbbabbbbabbbabbbabbbbaaaabaaababaaaaababbabaabaaababbbbbbbaaaaaabbaababbbaabbbababbbaaabbbbaaababbbbabaaabbbbbbbbabaaaabababbaaaaaaabbaaabaabaaababbabaaaaaaaaabbaababbabbbbbbababababaaababbabbbaabaabbbabbaaabaaaabbbabbbbbbabaabbbabbbbbaabbabaaaabbababbabbaaaabbbabbaabaabbbbbbbbbbbabbabaaababaababbbaababababaababbbbbbaabbbaaababbaaaababaaabbabbbbabbabbaabbaabbbbabbabaaaaaabbbaabaaabbbabbaaababaaaabbabbabbbbabbaababbaaaababbaabbaabbbbaabbaaaaaabbbababaaabbbbbabaabbbabbbabbaaabbbaabaaaaabbbaaaaaaaabaababbbbabbbbaaaaaaaabaaabbbbbbbbaabaababaabbbbaababbaababaaabaaababbbabbbaaaaaabbabaaabaabbbbbababaabaaabbaabbaaaaabababbaababbaaaabbbabbaababbbbaaaabababaabbbaabbbabaababbaaaaaabababaaababababbbabaababbaaabaaaabbaababbaaababbaababbaaababbbababbbbaaaabbbaaabbaabbabaabaaabbabbaabbbbabbbbbbaaabaababbabaabaaaababbbaaabaababbbbaabaaaababbbbbabaaabbbaaabaababbbbbbaaababbbbababbbbabbbbbaaabaaabbbbbabaaaabbabbaaabbabbbabaabbaaabbaabbbababbbaabbbbaaabbaababbbbbbbbaaaaabaabaabbbbbbbabbbbbbaaaaaabbbaaaabbaaaabbbbbbaabaababababbaabaaabbbbbbababbbbbaabbbababbbabbbabbaabbabaabababbaaabbabaaaaaabbabaabbbbabaaabbbabababbbaaaabaaaabbabbaaaaaaaabaabbaabaababaabbbabbbbbaaaaabbabbbabbabababbbabbabbbaaaaaaababbabbaabbabababbbbbaaaababbbbbaabaaabbbbbbabbbbbbbaabaaaaaabaaabaaaababababbaaaaabbabbbbabaabaaabbbbbaaabbbbabbaaabaaabaaaaabbaabbabbbbabaaababaaaababaaabbbbbbbaaaabbaababbbbbbabbababaabbbaaaabaaabbbbbabaaaabbabaaaaaabbabbabaabbbbaababbabbabababbaaabbaababbbbbabbbbaabaaabbbaabaaaabbbaabbabbbaabbaaabaaabbbbaabbbbaaabaabbaaabaaaababbaabbabbbaabbababbaaabbbbabbabaaabbaaaaaaaaabbaaabaababaaabbbabbbbaaabbbbbabaabaabaaabbbaaaabbbaaaabababbabbabbababbababbbababbaabaaaabbbbaabbabbaaababbbbbbbaaaabaababbbabbaabaababbabaaababaaaabbbbbbbaabaaaabbaaaaaabbbbbaaabbabaaaaaabbababbabbbabbaabbbbaaabbbababbbbaaaaabbaaabbbbabaaaabbabbbbbabbabababbaabbbabbabaababaabaaabbbabababbabbbbbaabbbbaabbabababbababaabbbbaabbbbbbababbaaabaabababbabaaaaabbaababbbbaaaabbabababaabaabbbaababaaaaababbbabbbbbbbabbaabbbaaababaabbababbbbaaabaabaabbabbaababbbabbbbbbbbaabaabbbabbaaababaabaaaabbbbabbbbabbabbbbaaabbbabbababbabbababaababbaabaabababaaabbbbaabbbbabbbaaabaabaabbbbbaababaabaabbabaabbaaababababaaabbabbababbaaaabbbabbabbbababaaabbbabbababbbbababbbabbbbbbbabaaabbababbaaaaabbaabaababaaabaabbabbaaaababbbbaabaabbbabbbaaaababaabababbbbaabababbbababbbaaabbaabaabbaaaaabbaabbbaababbbaabbaaaabbabbbaaabbaababaabaababbabbaaaaaabaaaabaabbbbaaaaabbbabbbbabbbababaabbbbabaaaababbbaabbbaaabaaababbbbbbbbababbabbbbaaabbbaaabbaabbabbabaabbbbabbbabbbabaaaabbbaaabbbabbaaaabaaaaaaabaaaaaabaababaaaabbababaaabbbbbaabaabbbabababbbbabaaabbbbabbababbbabaaabbaaaaaaabbbbbabbaababbabbbabbababbbaababbbbbaaaabbabbabaaaaaaababbabbbaabaaabbbababbabababaaabbabaabbaaaaabbbaabbaaaabaabbabbabaabbaaababbbbaabababbaabaabaababbaaaabbbabaaaaabbbbabbbaabbabbbabbaabbabbbabbabbaaabbbbbaaabababababaababaabababbabaaabbaababaababbaaaaaabbabbaaabbaaaababbaaaabbaabbabaabbaaabbbbaaabbbaabbbbbbbaabaababaaabbaaabbbaabaababaaabababbaabaaabaaaaababaaaaaabbbbaabbababaabbabbbabbbbaabbababaaaababbabbbababbbabaabababbbbbbaaababaabaaabbaaaaaaabbababbbaabababaabaabbbbbbabaaabbabbababababbababbabaababbbabaaaabaaabbababbaaaaabbaaaaababbbababbaababababbaabbbaaabbbbbbbaaabbaabbbabaabbabababbbbabbbaabbabbbaabaababbbaabbbbbbbbabbaabaaaaaababaaaababbabaabbaabbbaabbbabbbbaaabbaabaaabbbabaababbbaabbabababaaabbbbababbaababaababbbbbbbbbbabbaabaaabaabbbbbaabaaabbbbbbaabbbabbaababbbbbaabaaaabbbbaaabaababbbaaaabaabbbabababaababaabbaababbbbabaababbbabbbbaaabaababaaababbabbbabbaabbbaaabbabaaababaabaaaababbabababbbaabbbabbaabbbabbababbaaaaaaabaabbabbbaabbaaabbbabbbaabbbbabbaaabbaaabaaaaaaabbaabaaaaaabababaabaaaabbabbbababababaababbbabbbbbaaaabbbbbabababaaabbbbbabaaaaaaaaababbabaababbbbababbbbaabaaabaabbbbbbaaabbababbbabbabbbabababbbbbbaaababaabbababbbbababaabaabbabbabababaabbabbbbaaaabaabbababbbbbbbbbababaabbbabaabbaaabbbababbbaaaabbababaaabbbabababaabbbbbbabaaababbbbbbbaaaaabbaabbaabaabbbaabbabbbbbbbaabbaaaaaabbbbbbbbababbbabbabaaabaaabbababababaaaaaabaabbbbbbbaaabbbabbbbaabaababbabbabbbbbaabbabaaabbbababbbbabbbbaabaabaabaabaaaaababaaaabbbbbabaababbaababbbbbabbabaaaaabbbbbbbbbbbbaababaabaabbaabbaabaababbaaaababbbabbbabbbabaaaaaabaabbabbbbabababaaabbbaaaababbaabaaabbbbbaabaabbbabaaaaababbabbbbababaaabbbabbbbbbbaaaaaaabbabbbabbbabaababaaabbbbaaababbababaabbbbaabaaabbbbbbabbaabbbbababaabaaaaaabaaaabaabaaabbaabbaaaaaababaabbbbbaaaabbbaababbaaabababbbbababbaaabaaabbababbbbbbaaababaaabaaaaabbabbaaabbababaaabbbbabbabababaaaababaaaaabaaababbbbaaababbbaaabaaaaababbbbbaababbbbaaaabbabbbbbabbabbaabababaabbbbbbbbbabbaaabbaaaabbbbbababaaababaabbbbabbabababbbabbbbabaaabaabbbababbabbbabbbbabbaaaaaabbbbbbabababaabbbbbaaaaabbabbbaaabbaaabaaaaabbbbbbabbaaabababaababbabaabbabbbbaaaaabaaababbbbaaaabbbbabaabaaaaaabababaabbbabaabbababaabbbaaabbabbabababbaababaaabbaabbabbabbbaaabbaaabbbabaabbbabbbbbababbabbabbababbabbbbaaaabbbbababaaabbbaaaabbbbbbbaaababbaabbaabaaabbaababaaababbbabaabaaabbbbaaababababbabaabaabbbbabbbababbaaaababbabaabaaabbbbbbbbaababaaababbbbbbbabbabbbbabaabaaabbbbbabbaaabbaaababaaabaaabbabababbbabbaaababbababbbaaaabbaaaababbaabaabbbabbbaabbbbbabbbaaababbbaababababaabbbabbbabbbbbbbbbbbbbabaabaabbaaaabbbbaababbbbabbaaaaabbbbbbabaaabbbbbbbabbbbbaaabaabbaabbaababbaaaababbbbbbabbabbabbaabbbbabbaaaaaababaabbaabaabbbbbabbbaabbbbbabaaaababababababbbbaaabbabbbbabbbbbbbbbabbbaabbaababbabaaaabaaabbbbbaaabbbbbabbbabaabaabbbabbaaaabbbabbbbbabbbbbaaabbaaaaababbbbbbbaaaaabbbaaabaabaaabbbabbaaabababbbabaabbaabbabaaabbbaaabbbbababbbaaababaaaaaaaaaabaabbababaabbabbbaaabbbababaaaaababbaabababababbbbaaaaabbaaaaabaaaabbbbbaabbababaaaaabbbbaabaababaabbbbbbbbaaaaaabbbbaaabbbbbabbaaabaababbbbaaaaaabababbbbbbbaababaaabbababbbabbbaaababaabababaabaaabbbbbababababaaabaabbaabbabbbbabbbbbabbaaaabbbbbabbbaabababbbbaabbaaabaabaabbabbbbaabababaaaabbaabaabbbbaababbbabbaababbaabaabaabbbbaaabaaaaaabbbabaabbaaabbabbaabbaabaaabbabaaaaababaabbaaaaabaabaababababababbbabbbbbaabbabbaaabbbaabbaaaabaabababbbaabaaabbaabbbbbbaabbbbbbbaabaaabbababbbbbaababbbaabbabbabbbbabbbaabbababbababbaabbabaaabbabbaababaabbabbbaababbbbbbabbabbbbaaaabbabbbababaabbbbabbabaaaaabababbaaaaaababaabaaaabbbaababbaaaaabaaaaaabababaaabbabbbabbbabbbbaabbbbaaabaaaaaaaaaabbabaabaabaababbababbaababbabbbabbaababbbabbaabbaaabaaabaaababababbbabbababbababbaaabbabbbbabaaabbabbbababaaabababbaabbaabababaaaaabaaababaaaababbababbbbaabbbaabbaabababbbbaaaabbbaaaaabbbaaaabbababaababababbabbaababbaababaaaaaabbabbbaababbbababbaabbaaaaabaababaaababbaaaaaabbabaaabbbbbbbbbbaaaaaaaababbaabbbbbabbabbaabaaaabbaaaabbaaaaaaabaaaabbbbaaabbababaaabaabbaaaababbbbabaabababbabaaaaabbaababbbbaabaabbaaabbbbabbaaaaaaabbaaaabbaaaaabaaaaaabbaaababbbaaaaaabaabbaabbbaababbabbaaababbbaaabbabbbaabaaabbbaaabbbabbbaabbbababbaaabbaaaaaaaaabbbabbaaabaaaabbabbbbaaabbbbbaaaabaabababbbaaaaaaaabaabbbabaabaaababbaaababbbbbaaaaababbaaaabbbabbbbaaaabbabaaaabababaaaabababbbabbabbbababaaaaaabbaabaaaabbaabbbbabbabbbabaabbaabaabaaaaaabbbbabbababbaaaaabbaabbabbaabbbbbaaaabababbbbbabbaababaabbbabbbaabbaaabaaaaaaababaaaababaabaaabbaabbbbbaaabbaaababbaabbbbbaabbaabababbababbabbaababaaaababababbbaaababbaaaaababaabaaababaabbbaaababbabbbaabbabbbbaabababbbabbabaaaaaaaaabaaabbbaaaabbbbbbaabaaababbbababababbbabaabaabbbbbaabaaaabbaabaabbaaababaaaabaaabbaaabbabbbbbbbaababaaaaaabbaababbabbabbaabaaabbbabababaababaabaabbbbabbababbbbabbabaabaabaababaababaaababababaabbbababbbbaabbbbbaababaabbaaabbbbbbaabababaababbaabaaabaaabbbbabbabbaaababbabbbababbbbaabababababbbbaabbababbbbbbbaaabaaaabaabbaabbaaaabbbaaaabbaaabbaaabbabbbbaaaaaababaabaabaaaabaaabababbbbaabbbbbaababbaaabbaabbbababaababababbbbbbbabbaaabaabababaababbaaababaaabbbaaabaaabbbababbabbbababbbaababababbabbaabbabbabbbabaaabbbbbaaababbabbaababbabbbbaabaaaababbabbbabbababbabbaaaabbabaaabbaabaaabaaaababbabaabbbababababababaaaabbbbaaabaaabbabaabaaaaaaaaababaabbbaaabbbbabaaabbbbaaaaaabaaabbbaaababaaabbabaabababbabaabbabaaaabbbbabbabbabbabaaabaabbbabbaababbbbbbbbaaaaabababbaabbbbbaaabbbaaabbbbbaaaababbabaabbbaabaabaababbbabbaaabbbaaababbababbabbaaabaaababaabbbbbbbaababaaaabbabbabababaaabbbbbaababaabaaabbbbbbbabbbaaaabbbbabbbaaaaaaabaabaaabaaaababbbabbabaabaabbabbaabaababbbbbabaabababbaaabaaaaababbababbbaaaababbaaabbabbabaabaabababaaabbabbbbbaaabbabbaabbabbbaabbbaababaaaaaababbaabbbaabababbbabbabaabababaabbbbbbbbbaabbaabbbbabbabababbababaabaabbbabaaabbaababbbabaabbbbaaaabaababbbaaabbbabbabbaababbaabaabaabaabaababaabbbaaaaababbbbabaababaabaabbbbaaaaaaaaaaaabaaaaababaaabaababababbaabaababababaababbaabbbababbaaaaaabbbbaaabbbaaaaabaaaabbaabbaabaaabababaaaabbbbabbbaabaaaaabbabbabbababbbabbbbbbbbabbbaabaaaaaaababaaaaaabaaababbbbaaaaabaabaaaaababaabbaaaabaabbbbaababaaabaaaaabaaaaaabbbabaaaaabababbababbaabaaabaaababaababbbbabbbbbabbababbababbaaaabbbbabbaaaabaabbabbabbbaaabaababbaabbabbaaaabbbaababbabbabababaaaaabbaabbaabbaabbbababbaabbbaabbbbababbbbaaaabbabbaaaaabbabaaabbbaababbabbbbbbaaaabbbbbbabbbbabbbbbbbaaabbaaaabaaaabbaaabaabbbabbaabaabaaaaaaabbbbaaaabbbbbaaabbaaababbbaaabbaabaaaababbabababbaabbabbbbaabbbabbbaaaaababaabbbabbbbbabababaabbbabbbababbabaababbbbabbabbabbbabbabbaaababaabbaaababaaaabaaabaaaaaaaaabbabababbaabababbbababababbabaabaabbabbaaabbbaaaaabaaaaaaabaaabbbbbbbabbbaaababbbbababaaaaabababaababbaaaaabaaaaaaabbbbaabbbbbaabbbbbababbabbaaaabbababbabaaaabbbbaabbaaaabaaaabbbbaaaababaabaaaabaaabaabbbabbbbbbabaabaabbababbaaaabaabaabbabababbabaababbbaaaabbbababbabbbbbaaababbaabbabbbaabbbabbaabbbbabbbabbababaababaaaaaabaababaababbbaabaabaabbabaaaaabaaabaabaabbbbababbaaababaaaabbbaabbbabaabbabaaababaaaaaabbaaaabbaababbabbbbbabaaabbbaaabbbaababbabbbababbabbbaabaaabababaaababbbaabbaabbaaaabbababbaabbabaaabbaaaabaabbaabbbaabbabaaaabbaaababbaaabbbaaaaaabaabbababababaabaabbbaabababbabbbbbbabbbbbababbbaabbaaaaaaaaaabbbaabbbbaabbbaabbbaabaaababaaaabbbbbaabaabbaaaaabbbaabbbbbaabaaabaaabaaaabbbabbbaabaaabbabbbbbaabbbaababbbabaaaaabaaaababaabbbabaaabaaaabbababbbbbaaababbabaaabbaabbbabbbbaabaabbabbbabbbbababbbaaababaabaaabbaabbabaabaabbabbaabaaabaaaabbbaababbbabbaabbbbaaabaaaababaabbaabbaaabbbabbbaabbbbaababbbaaaabbbaaabbbaaaabababbbbabbbbabbababaababaabbbbaababbbaabaababbaabbbaaaabbabbabbabbbbabbbbaabbabbbbbbbbbaaabbababbbabbbbbbaabbbabbabaaabbbabbaaabababbaabaaaabbbaababbbbabbabbbbababbbabbbbaaaaababbaabbabbbbababbabbbaabbabbbabaabaaabbbbbabbabbbabaabbabababababbababbbaaabbababbbbbaababbabbabaabbaabbaabbaaaaabbbbabaabbbabbbabbbbbabbababbbaabbabbbbaabbbbbbaaaabaabbbababbabbbaabaaaabaaaabbbaaaaaaabababaaabbabbbaabbbaaaabbbbbbaabbbaaaabaabbbababaabbaaabbabbabbaaabaaabbaaaaaaaaaabbbbbabbababaaababaaaabaabaaabababbbababbababaabbbabbbbbaabbaaaababbbbbbbaabbaabbbbbabbbbbbbbabbbabbababababaabbababaaaaabbbbbbabbabaaabaabaaaabaabbbbbaababaabbaabbbaabbbabaababbbbbbabbbaabbabababbaababbaabbbabbabbbbbabaaaaabbabbabaabbbbabaabbababaaaaaaaaababaaaaabababbbabbbaaabbbaaaaaaabaaaabbbbbbbabbbbabaaabaaaaababaaaaababaaaaabaabaabbbaabbbbbbaaaababbbabbaabaababbbbaabababbabbabbabaaaaabaabbbabababbabbaababbabaaaaabbbababbbbaabaaaaababbabbabbbabbabbbababbbaabbbaabbababababaabaababbbbabbabbbabaababaaababbaaaaaaabbaaaaabbbbbbabaaabbbbbbaabbaaaabbbaabbababbbabababbbbaabbaaabaabaabbaababaabbbbbbaaaabaaaabbaaababbbbaaaabbababbbbbaabbbbbababababbaaabbabaabaaaabaaabbbbbbaaaababbbbaaaaabbaaaaaababaaaabababbbbaaabbbbbabaaabbaabaaaaabababbabaaaababaaaabbbbbaaaaababababbbbbaaabbbaabbbaaabbbbbbabaaaabaabbaaabbaaabbbaababbbabababaabbabbabaabbaababbaabbbbaaabbaabbaaabaaababbbabbaabbbbbabbbabbbbabaaabbbbbbbbbaaaabbabbbbbabbbaabababbbbbbbaaaaabaaababaababbaabbbbaabaabaaabbbbbbaabbbbaabbaaaababbbbbaababaabbababbaabaaabbbabababbbaabbbaaabbbbbaaaaaaaababbbbbaabaaababbaabbbabbaababbabbbbbbbaaabaabbabaaabaabaaabbabbabaabbaabbaabbbbaabbababbaaaaabbaababaaaaaaabaabaaabbaabbabaaabbbbabbbbaabaabbaaaabbababbbabbbabaabbbaaaabaabbababbbbaabbaabbabbbbbbbaaaaabbbbbababaaababbbaababbbbbbaababbbaaabbbbbbbbababbbbabbbbabbbbbbbaabaaabbaaaaaaaaabbabababbabbbbaabbbbbaaabbbbabbbbaababbabaaaaaababbbaabbabbbbaaaabbbbaabbababaababbababbbbaaaabbbbabbaaabbbbaabaaaabbbbbaababaaabbbabaabababbabaabbaabbbabbbbbabbbbaababbbaabbababaaabbaabaababbaaabbababbabbbababbbabaaabbaaabaaabbaaababaabbabaaababbaabababaababaaabaaaaabaabbbbbbaaabaaababbbaaabbaaababbbabbaaabbaabaabbabbbbbbbbabaabaabbbaaaaabaaabaaaaaaaaaabbabaaabaabbaaaabbaaaabbabbaababbabbbbbbbbbaabbaabbbaaaababbbbaabbbbaabaababbabaabaabbbaaaabbaabbbbabbbbbbaaaaaababbbbabaabbbbbaabababbabaaaaababaababbabbabaaabbaaabbaaabbbabbabaaaabbabbabaabaaaaaababababbababbaaaaabbbabbabbbaaaaaababbaabaababbbbabbaabbbbbaabbaabaaaaaababaaabbbaabbbbaabaaaaaaababaabbbbbabbbabaaababbbababbbaabbbaaabaaabaabaabaaababbabaaabbbababbbbbaaabaaababbbaaabaaaaaabaabbabbbbbbbaabaabbaaabaabaaaaaaabbaaabbbabbaaaaabbbabbaabababbbaabbaababaaaabbbbbbbbbaababbaabababbbbbaabbabaabbabaaaaabbbaababaababbaaabaaabbbbabaabbbaabbbaabbbbabababbaabbababbaaabbbbbaaababbbabaaaaabbabbbaabababaaabaaabbbabbbbababababbabaabbabbaabbabbaababaabbbbbabaaaaaabbaabbabbabbbbbaababbbabbaaaabaaabbbababbaabbbaaaaaabbaaaaabababbaaaababbbababbbbbaabbabbabbababaabbbaaaabbbbbbabbabaababbbabaaababbaabaabbaaaaaaabbabbaabbabbababbbbbbbbabbbabbbbaabbbbabbaabbbabbbaaababaabbbababbbbababaabbaaabaaabbabbbaaaaabbbabaaaabbbbbababbabbbabbabaabbbabaabaabaaababaaaabababaabbabaaabaaaababbabababaabbbaaaaabaabababaababbabaabbbababaabaaaabaabaabbbabbbbbbaabbbbabbaababababbbabaaabbaababbabababaabbbaaaabbbabbbaababababaaabbbaaaaababaaabbabaaaabaabbbabbababbbbbbabababbbbbbbbabbbabbabbbbaababbabababbbbaaabababbabbaaabbabaaababbabbbbaababababaabbbbababbaaabbbaaabbbababbbbbbbaababbbbbaaabbbabbbbabbbbbbaabbbaaaaabbbbabababbbababbabbbbbabaaaaabbaabaabaabbaaabaaaabbaababbabbbaaabaabaaaabaabbbbbbaaaaaaaabbbabaaababbbbaababbbbabbaabbbabbaabaaababbabbbaababbaaabaaabaaababbabababbbbbbabbaabababbaaababaabaabaaaababaaabaaabbbabbabbbaabaaabaaabbbabaaabbbbbaabaaababbbaabaabaaabbaaabbbbbaabbbabababaaaaaabbaaabbabbbbabbbabaaababbabbabbbabbaabbaabbbaabbbbababababbabaababbbbaaabbbbaababababbabaaaaaababaabababbbababbabaababbaabaabbababbabaabaababaaabbbbabbbbbbabbbaaaabbababbaaaaaaabaaabaaabbaabababbbbbbbbabbbaabaaaaababaaabaaabbbaaaaaababaaaabaaaabbbabbabaababbaababaaabbaababaababaaaababababbbbbbbababababbabbaabaaabababaabaaabbabbaaaaaaaaabaaabaabbaabaabbbbbbbbabaaaaaaabaabbaabbbbbbbbabbaaaaababaaabbbbbbabbaabbbbabbbababbbabababaabbabaaaaaaaaababababbbbabbaaaaabbbbbaaabbbbbbbabbbbbababbaaaaababababaaaaaaaaabaabbaaaaaababbaaabbaabbbbbaaabbbaabaaababbbbaaaabbbbbaaabaaaabbaababaabbabbabbbbaabaabaaaabaaabbababaaaaaaabbabbabaabbabbbaababbbbabbabbbaabbaabbaaaaabbbbabbaabbbbbbbaabaabbbaaabaabaababaaababbbabaabbaabbbbbbbaababaaabbaaaabbaaababaaaaaabaababababababbaaabaabbabbbbbabbaabaabbababbabaaabbababaababbaaabaabaabaababbaabbabbababbabbabaaaabbaaabaabbabbaabbbbaaaaaabbbabbbabaabbaaaabbababbababbaaabababaabababaaabaabbababbaababaabaaaabaaabaaaaabaaabbbbbbababbbbbbbbaaabaabbbbbbababaaabaaaaaaabbbbabbbbabbbbbbbbbabbbabbabbabaabbbabaabaabaaababbababaaababababbbabbbbaaaaababbbabaaabbbbabaaabbbabbbbaababaaaabababaaaaabababaaaaaabbbabababbaababbbaabbabbbbbabaabaaaabaaababababaabaaaaaaabbbabbaabaabbaaaaabaababaaababaababbbbbabaaabbaababaaababbbbbbbaabaabababababbbaababaabaabaabbbbbbabaabababbaaaabaaaabababaababaaabbabbbaaaabababababbbaaabababaababababaaabbbbbbbaaaaaabababbaabbbbaaaaaabbbaaaabbaaabaaabbabbbaaabbbbaaabaaaabbbaaabaabbabbaabbabbbbbaaaaaaabababbabbabbaabababaaabaabaabaaababbaaaaaabbabbbbbbbbbababbbaabaabbbbbbabbabaabbbaaaaabbbababaabbbaaaabbbabaaababbbabbbaaaaaaaaaaababbbbbabbababababaaabbabbbbababbabaabbbbaababaaabaababaabaabbabbbaabaaaaaababbbbbbbaabaabbbbbababaabbabbbabbbbaaabbbabbaaaabbaabbbaaabaaaabababbaabbabaababbaabaababbaaaabaaaabaaaabbabbabbababaaaaabbbaababbbabbbaaababbabaabbbaababbbbaababaabbbbbbaabaabaababbabbaabaaaababaaabaaaabbbbbbababbbaaabbaabbbabaabbbbabbaabbbabbabbbababaabbabbaaabaaababbbabaaaabbbbbbaaaaabbbbababababbaaabbaabababaaabbbababababbbaabbbabaaaaabbababaaaaaaabbaabbbbbaabaaaaaabababbaaaaaabbbaabbaaababbababbabaaaabbaabbbababaabbbabbaaabbabaabaababbbaababaaaabbaabaaaaababaaaaabbababbababbbaabaaababaabbbaaabbbbaaaabbabbabaaabbbabaaabababbbaabbbabaaaaabaaabaabaaaaaabbbbabbbbbaabbbabaababaabbaaabbabbaaaaabbabbaabbbbbbaababbaaabbabbbbbbbaaabaaaabbbbbaabbbbabababbbaaabbbbbbaababaabaabbabbbaaababaaaaabbaababbababbaaaaaaabbabaaaababbbbabbbbaaaaabbababbaababaabbbbaabaaaaabababbaabbbaababaabbbbbaabbbababaababaabaabbbbaaabbbbabbbabbbabbabababbbabaababbabbbbabbbbaaabbabbbbbabbbbaabababababbaababbbabaababbbbbbabaaaaaabbbabababaababaababababbbaaaaabaabbbbaababbbbbbabbaaaaaaaaabbaabbababaaaabbbabbbbbabbbaabbbbabbbabaaaaabbababbabbbababaabbbababbbababbbaaababababbbbabbbabbaaababbabababaabaabababaaaabbababbaaaaaabbbbabaabbbabaaaaaaabbbbbabbabababbbbbbabaaabaabbbbaababaaaabbabbbbbabbabaabbbbabbbbababbaaaaaabbbaabaabbbaabbabbaaaabbababbbaaabaabbabaaaaababbbbbabaaabbbbabaababbbaaabbaabbbababbbababbbbabbabbabaabaaabbbbababaaaabbaabaabbaabbaaabbabbbaaabbaabbaaaaabbbaabbaabbaaaaabbbbaaabaabaaabbabbabbbaaaaaabaabbbaabbbabbbaabaaabaabbabaaaabbabbabbabaabababbbbaaaaabaaaabbaaaabaabaabbaabaabbabaababbbbabbabbabababaabbbbbabbaababbaaaabbaaabbababababaaaababbbabbabbaaaaabaaaaabaaabbaaababbbaabbbaabababbaaaaaabaabbabbaaababbbabababbbabbbbbbabbbaababbaababababaabbabababbbbbabbbaaaaabaaaaaabaaaabaabbbbaabbabaababbababbbaaabaaababbaababaaabbaaaaaabaabaabbbbabbaabbaaabaaaaaaaabaabbaaaababbbbaabbbabbaabbabaabbbaaabbabaaaabbbabbbaababbbabaabbaaaabababaaaababaabbbaabbabbaaabbbaaabaaaaaaabaaabbaaaaabbbbaabaaabaababaabaaabbbbabbabbaabababbbbaaaaaabaabaaabababbbabaabaabaabaabababaaaababbbaaaabababaabbababbababbbbaababbabbbaaaaababbaaabbabababbabbbabaababaaaabbabaaabbabbbbabababbbbabbaaaabbbbbbaabbaabbaaaabaaabbaabbbbaababbaabaabaaabbabaabbaaaabababaaaabaaabaaabbaaaaaaababbbababbabbbbaabaababbbbbaaabbbaaababaababaaaababbababaaaaaababaaaababaababbababbabababbaabababbabaaabbbabaabbbbbaabaaaaabbbaabbabbabbabbabaaababaabaabaabbaabbbbabaababababababaabaaaabaabaababbabbabbaaababbabbababaaabababbbabbaaabbaababaaaaabaabaaaabaabbaaababbbbaabbbababaabbaabaaaabbbbaaabbbbbbababbabaabbbbbabbbabbbbbaabbabbabbbabbbaabaabbabbbababaaaabababaaabbbaabaaabababababbbaabaabbaaaaabaabbababababaabbaababaaababbbabbabaaaabaabaabbbbbabaababbbbaaabbbaabaabaabbbabbabbbbababbbabaaaaaabbbaabbbbababbbaabababaaaabbaabaaabaababaaaaaabaaabbaaabbaaaabbaaabaaaaabbbabbabbbaabbbbaaaaaabbbabbababbbbbabaabaaabbaabaabbbbbbaaabaababaaaabaabaaababbabbaaaabbababbababbbbababbbaabaaaaabaabababbbabaaabbaaabbbbbbbabaaaabaaaabbaaaababaabbaabbbbbbaabbbbaababbbbbaaabbaabbbbbaaaababaababbaaabaaabababbaabaabbaaaabbbbaaaaaaabbabaabbbaababbbbbababaaaabaaaabaabbababbbbaabaabbaabbbaaabbabababbaabbaaaababbbaabaaabbababbbababababbaaabbbbaabaabaaabaaabaaabbbaabaaaaaaaaabbbbbbbaababbabbabaabbaaaababaaabaabaabbbbbabbbbbaabbbaabaabaabaaabaabbbbabaabbababaaaabbbaaaabbbabababbaabaababababaabbababaabbbabbabaaabbababbaabbaaabaabaabbbaaabbbbaaabbabbabbbbabbaabbabaaaaaabbbbaabbabbbbbbabbabaaababbbaaaaaabbbaabaaabbaabaaabbaaabaababbababbbaaabbaaababbaaaaabbaabbbbababaaaabbbabbbaaaaabbaabbbbaabbbbbbaababbbaabbaabaaabaabbaabbababbbbababaaaababbaababaabaabaabbaabbbababbbabaaabaabbaabbbabaabbbbbabbbbababbbabababbbabababaabbbbabaabbbbababbbbabbaabbbabbbbabbabaaabbbabaabaaaaaababaababbaabbbabbabaaaaaabbbbaaaaaaabbbbaabaabaabababaabbaaabbaabbbbabbbbaaaababbbbbbabbbbbaabaaaaaabababbaabbabbabaababababababbaaabbbbbbbbabbababbabbbbbbbabbbbaabbbaabbaabbabaaababbaaaaaaaabbaaabaaabbaaabbabbbaaabbbbbababbabbbbbabbbbbaaaaaabbaababaaababbaaaabbbbbaaaaaabbaaabaabaabbabbbbaababbaabaaaaaaaaabaabbbbabbbbbaabababbbabbaabbbaaaabababbbabaabbbbabaababaaabbabbbbbabbbbbabbbaababbaabbbbaababaabbbaababbbaaaabaaaabbbaaabaabaabaaaaaaabbbababbbbabbabbbbabaababbababbbabbabbaaaabaabbbbabaababbbabbbaabbbbbbbbbabaaaabaaaaaababaabaabbaabaaaaaabbbbbbaabbbbbaaaaaaaabbaaaabaaabbaabaabaabaaaabaaaaababbaabaabaabaaaababababbaabbbaabaaabbababaaabbbbbabbbaabbbabbbabbbababbbbbaaaabaabbbbbaababbaabbabbabbbabbbabbbbabaabbaaaaabbaaaababbabbbbbaabbbbbaabbbbbabbbabbbbababaaabbababaaaaaababaabbabbababaabbbbababbaaaabbbababbbbabbbaaabaaaaabaaabbabbbbaaaabbbbabbbbbbaababbbbaabbabaabbaabbbabaaaababbbaaaabaababbabbbbbaabbbbabbbaababaaabbabbabbbbbbaaabbaababaaabbbabbbaabbbabbaabbaabbbbaabbbabbaababbbaabaaabbaaaababbabaaabbababaababaaababbbaaaaaabaaabbbbbbbaabaaababaababbbbababbbbababaaaababbabababbaabbbaababaaababaabaaabaaabaaaabbbabaabaabbbbabbbaaabbbabababbaaaaaabbbbaaabbabbbbaabaaabbbababaaaaaaaaaabaabbabbbbaabaaaaaaaaaaababaaabaabaabbbababbabbabbbbbbaaabbabbbbbbabbabbbbbbbbbababababbabbbaabbbaababbbaaaabbabbbaabbbbaaaaabbbbaabbaaabaabbbbbbbaaaaaaabaabbbbabbbbbbbaaaaaaaaababbbbaaabababbbabaaaaabaabaaabbbbabaaabababbbaabbbaababbaaaabaaabbabaaabbbaaabbbbbabbbababaabaaaababbbbaaabababbbbbaabaaababbabbaaaabbbbbabbabbbaabaaababaabbbabaababbbabaaabbbbabbbababaabbbaaababbbabbbbabaaabaaabaaababbbaabaabbbbbaaaaababbbaaaabbbabaaaaaabaaaaabbabbbaabaaabaabababababbbbaaaaababbbbbabbbbbbaaaaababbabbbbbbabaaaaabbaababbbabaaabbabbbbbabaaaabbababaaaaaaabababbbbababbabbabaabbaaaaaabbabbbabaaabbababbbaabaaaaaaababbababbbaaabababbbbabaaabaaabaabaababbaaaaaaaaababbbbaabaabababbbbbbaaaabaaaabaaabbbaaaababbaaabbaabaaabbbaaaabaaabbbaabbbabbaaabababaaaaabbabbaaaabbaaabbbbbabbabaaaababbbaaaabbbaabbbaabbbbabbaabaabbabbabbbbaabaabbababaabababbbbbbabbabbbaaabaabbaaabbabaabbbaabaabbbabababaaaaabaaabbbbbaaaaabaaaabbbababbbabbabbbaabbbababaaabbbabaaaabaaaabbabbabaabbabbbaabaabbabbbaaaaaaaabbaaaaaaabaabbbbaaababbbabbabbbbbbbaabbabaabbabaabbbaabbaabaaaaaabaabaabbababbaabaabbababbbbaaabbabaabbaabbaababaabbbbbabaababababaaaabbaaaaaababbaaabbbbaaabbbbabbbaababbbbabbabbbbbabbbaabababaaaabababbaaababababaabbabaaaabbaabbababbbbaaaabbabaabbabbabbbbbaaaaaaabbbaabbbbabaaabaabaabaabbbbbbababaabbaaabaaabbbabbbabaabbbbbbaaaaabaababbabbbaabbbbabaaabbbaababababbaaaabaababbbababbaabaababaabaaaaaabaababaaabaaabaabbaabaaaabaaabbbabbaabbbabaabbababbabbbbabbabbaaaabbbbbbbaabbaaababbabbbabbbababaabababbbabaabbabbabaaabbbbbaaabababbaabbaaaaabbaabbabbababbbbbabbbbabbabbbbbbbbbbbaaaaabaaabbabbabbaabbbaaabbaaabaabbaabababbabaabaaababbaaaabababbbabbaabbaabaaaaaabaababbbabbaaaabaaababaababbbbbabaabbabaabbbbbaababababaaabbbaaabaabaabaaaabaaaabaaabbaabaaaaaabbababaabaaabaabaababbababbabaaabbaaaabbabaabbbbaabaababaaabaababbbbaaabbabbabaabababbabaaababaabaabaaaabbaaaabbbbbbbabbaabaabaaabbabaaaaaabbbbbbababaabaaaabaabaaabbaaabbaabbbaababababbbbbaababbabbbbbaabaaaabbabbbaaabbabbabaaababbabaaaababbbabbabaabaaababaaaabaaabbaababbaabbbaabbabaabababaaaabaababbaabbbbbababaaaabbbbaabaaaabaaaaaabbabbbaabbabbaaaaaababaabaaabaaaaaaabaababbabbaabbaaaaaabbbababaaaabaabbbababbabaabbaabaabbbabbabbaaaabbabbbababaaaabaaabbbbbaaaaabbbbbbaababbaabbbbaabaaaabaaaabaababbababbbbbbbaaabbbabbabbbbaabbabaaaabbabaaaabbbabbbbbbbbaabababbbbabaababbabbbbaabbababbaabbbbaaabaabbabababbaabbbaaaabbaaaabaaaaababababbaababbbaaababbbaababbaaaabbbbbbbaaaabbabbaaaabaabababaababbaaaaaabababbbbaabababbabbaaababbababbaaabaaababaaaaaaabbaabaaababbababbabaabbaabbbbbabbabababbbababbabababbbbababbabbabbaaabbbaabaaaabaaabaaaaaaaabbbaaabbbbbabbabababaabbbabaaaabbaaababbabbbaaababaaaaababaabaababaaabbbabbbbabbbabaababaaaabbaaabbabbabbbabaaaaabaabaabbbaaabababbbababbababbbabbaabbbbbbaabaaaaaaabababbbabaaaabbbabbbbabbbbbbaaabbaaabaabbbbaaaababaabbbbbbaabaababaabbbabbbabbabaabaabbbaaababbaaabaabbbbaaabbbbbbbaababbababaaabbabbaaaaabbbaabababbaaababbaabbababbbbbaabbbbbbabbbaaaabababaabbbbabbaabbbbaabbabbababaabaaabaaaaaaabbbabbbababbaaababaaaabaaaaababbabaaaaabbbbaabbababbaabaabbabbabbaaabbaabbaabbaababaabaabbaabaabbabaabbbaaabaabababbbbaaabbababbabbaabbabbbbaaaaaabaabbbaaabababbaaaabaaabbbbaaababababbaabbbbbbbaaabbbabbaabbbbbbbbbababbaabbaababaababababbabaaabaaabbaabbbabbaabaaaaaabbabaaabbababaaaaaaabaabaaaabbaaabbabbbbabaababbbabbbabbbaaabaabbbaababbaaabaababbbbababaabbabbaabbbbbaaaabbbabaababaaaabaaaababaaaaababbbaabbbaababaababaaaaabaabbaaabbabbbbbbbabaabbbabababbaaaaabaabbbaaabbbabbbbbbbbbaabaabbbbbbbbaaaaaabbbabbbbbaaaaabababaabbbbbaaabbbbaaaaaabaaaabaababbabbbbbbbaaabbbabbaaaaaabbababbaaabbaaaabbbbaabbabaaababbbabbaaabbbaabaaaabbbabbbbaaaaababbabbbabababbaabaabbababaabaabbabaaaaabbabbabbabaababbbabbabaabbaabbbbbababbbbaabbbabbbababbbbbbbbbbaabbabaaaaaabbbbbbaabbababbabaaaaabaabaaabaabababbbaaaaaabbabbaababbabaaabaabaaabaaaaabbabababbbbbbbbbaaaaaabbababbbabaabbababaabbbaabbbbbbaaabbbaaabbbaababaabbbabaaaaaabbbbaaaaabbaabababaaaaaabbabbbaabaaaabbaaaaabaababbbbbabbbaaaabababbaaabaababaabbaabbaaabbbbabaabbababbbbbababbaaabbababbabaaabbbbbabbbbbaaaaabbbbbaaaabbaaaaaaababbaababaaabbabbaaaaababbbaabaabbbaaabbabababbbbaaabbbbbbabbabaababbabbabaabbbbbbaaababbababbbbbabababaabbaabaaaaabbaabbabbabbabbbbaabababaababbbbbaaaabbbaaabaaabbaababaababbbbabbabbbbaabaabaababbabababaabbbabaaabbbabbbaaaaaabaabbbbaaababaaabbbaabbababaabbaaaaabaaabbbbabababbaabbbbaabaaabbaabbabababaaabbaaaaaaaaabaaaababbabaaaabaaabaaabbaaaaabbabbaaaaaababaaabaabbbbabaaaabaaabbbbbbbaabaabbabbabbaabbbaabbbbbbabbaaaabbbbbaababaabbabbaaaaabaaaababaaaabbbabbababbaabbaabbbaabbbbbaaabaaababaabbbbbabbbaabababaababbbbabaaaabbaabbbbabbbabbbbbaaababaaaaabaaababaabbbaabbbaaaaabaabbbbbaaaabbbabbaababaababaababbaababaaaaabbaabbaabbaaaabaaabbaaabbbababbaaabbbaaabbabbbbbbbabababbbbbababbababababaabbbbababbbabbbaababbaaabbaaabbabbaababbbababbbaababbaaaabbaaabaaaaaaababaabbbbababbbbbaaaaaabbababbabbaaaaabbbaabbaaaababababaaaaaaabbbbaabaaabaaaabbbabbbbbaabaabaaabbbbaabaabababaabbaabbbbaabbaabbbbaaaaabaabbbaabaaababbbbaaabbabbbbbabaabbabbabbbbababbabaabaaabaaababbabaaaaaaaaabbbaabababbaabaaabbbabaabbabbaaaabbabbbabbaaababbbaababbaabababaabbbaabaababbbbabababbbbabaabbbababaabaaabbbbbbbaabbbbababbaabaaababbbbababaabaabaababbbbbbbbbabaabaaaaaaaabbbbaabaabbababbbaaabaaaababaabaabbbabbbbbabaaabaaababababaababbbbbababbbbbaabbbaabbbaaaabbbabbbbaabbaaaabbbbaaaababaabbaaaababaaabaabaaaaaaaaabbabbbbababbbaaaaabbbabbaabaaaaaabaabbabaaabbbabaabaababaababbaaaaabbbaaaaababbbabbababaaabbabaababbbbaababbbabaabbaabaaababaaabbbaabbbabbbababaaabbaaababbbbaaaaabbababaabaaaaaaabbbbbbaaaabbbaaabbabaaaaaaabbbbbababaaabaaabbabbbbaaabbbbbabbaaaaaaaaabbbaaabaababbbbababbbabbbaabbaababbbaaaabbbbbababbaabaabbbaabbbbbabbabbbbbbbabbabaabbbababbbababbbaaaababbbbbbaabaabbbababababaaababaabbbabbbabbbbabbabbbbabaabbabbbababbbaaaababbbabaaabbaabbaabaabababaabbbabbbaaabbabaababaabbabaababbabbaaabbbabbbabaaaabbabbbbaababaababaababaabbbaaabbbbbbbbababbaabaaababaaaaaabaaabbbaababaaabbabbbabaabaabaaabbbababaaabaaabaabbbbbabaaabbaabbbababbabbaabbbbababbababbbaaabaaabbbbaaaabbbaaaababbaababaababbaaaabaabbaabaaabaabaabaabbbbbaaaababbbabbabbbbbaaababbbaabbbbaaabbaaabbaaabbaaaaababbbbaabaaabbbbaabbbbbbbabaaabbbbbbaaabaaaaaabbabbabaabaaaabbbababaaaaabaababbbbbaababababbaaaabaababbaaabbbabaaabaabbbaaaabbaabaaabbbaaabbabaaaaabbabaabbbbaaaaababbabaaabbaaabbbabbaaaabbbbbaaaababbaaabbbbbbabbbababbbaabaababbbbaaabbabbaaaaaabbababbababbbbbabbabbabbbbbbabbbaabbababaababbbaabababbbaaabbaaabaaababaaaaaabbbaaabbabaaaaaababaabbaaaaabbbbaabbabbaaabaababbabaabababbbabbbbababbbaaaabbbaabaaababbaabababaabbbabbabbbbbaaabaabbbaabbabaabbbbbbabbaabbabaaaabaabbabbabbbbbabbabbaaabbaaababbaabaabbbbababaabbbaaabbabababbaabababbbabbabbbbaaabababaaaaababbbbaabaaaabbbbaaabbbbbbbababbbbabababbabaabbbabababbaabaaaabbbabbababaabbbbbaaabbaabababbbbaabababbbbabaabbaaaabaaaabbabaaaabbbabbbaaaabbabbbabbabbaaaabbbbabbbaaaaaaabbaabaabbbbaaaabaabbabbbbbbaabaaababbaabbabbbabaaabbababbbbaabaaaaaabaabbbabaabbbabbbaabbbbaaababbabbbababbababaaaaabbbaabbbabaabbbbbaaaabbaababbaaaaaaabaaabababbabbaaababbabbaababbaabbbbbbbbabbbbbaababbbabaababbaabbabaaaaaaaabbbaabbbbabaababbabbaaabaababbaabaabaabaaabaaaaababaaabaaaabbbbbbbbbaaabbbabaaaabababbbbaabaaaaaaabbababaabbbbabaabababbbbbbbababaabbaababaabbaabbbabbbaabbbbbababaaabaaabbbbbbaaaabbabbbabbabaabbabaaabbbbbbabaababbbbaaababaabbababbbbbaabaaabaababaababbbbbbbbaaaaabaabbbbabaaabbabbbabbbaabaabbbbbabbaaaaaaababbaaabbabbbbabbaabaabababbaabbaaaaabbbbbbbaaababbbbbbbbabbaababbaabaabaaaaabbabbabbbabbaabbabbbbbaaaaaaabbaaaabbbbaaabababbabaaababbbababbabbabbababbbabaaaabababbaababaabbaaabbaaabbbaababababbaababbaaaabbbbabaabbaababbbbbaabaaaabaababbbbabbaabaaabaaaabaabababbaababbaaaaaaaabaaabaaababbaabbabbabbabaaaababbbababbbabaabaababbbbabbbabbbbabaabaaaaababbbaabbababaaaabbbaaaaabbbabbabbbbaaabbaaabaabbbbbaabbaabbaaababaabbaaaaababbabbaabbbababababbbababaaaababbbbabaabaaabaabaaaaaabaabbaaabbabbaabaaaabbbbbbababbabaaabaabababaababababaabbaabbabaabaabbabbbaaaaaaaabbbabbaaaaaaabaababbbabbbbaabaaaaaaaaabaaabbaaabaaaabbaabbabaaaaaaaabbbabaabbbbbbabababaaababbbaaabbbbababaaabaaababbababbabbabaaabaabbbbbaababbbabbbaababbabaabbbaabbbaabbbabaaabbaabbbbbbababbbbaaaaabbbabaabaaabaaabababababbaaaababbbbbabaabaabbbaabaabaabaabbbbbbbaaaabaabbabaaaabaaabbabbaababaaabaaaaaaaaaabbaabaaaabbabbbabaaaaaabababbababbabababbabbaabbbaababbbaaabaabaabbaaabbbabbbabaababbabbbbabbbabaaaaabbbbbaabbaabbabababaaababbaabaabaaabbaaaaabbabbaababbaabbaabaabaabbbabaabbaaababbaabbabbbbbaabaabababbaaababbbababaaaabbbbabbbabaaababbbbaaaabbbbbbbbbbbbbbbaaabbbbaabbaabbabbaabaabaaaabbabbaabbbaaabaababaaaaaaaaaababbbabbabaabaaaabbbbbababaaabbbaaaababaaaaabbaabbbaaabaabbbaabaaaaabaabaaabbbbbaabbabaaabbbababbabaaabababbbaaabaabbbbaabbbbbbbbbabbbbaabbbabbbbaaabbbabaaaaababaabababbabbbabbaaaaaaabbbaabbabbababbaaabbaabbaabbbabbbabaaabbabaabbabbabaabbbababbabbaabaabbabaaababbabbbaaabbaabbbaaaabbabaaaabbaababbaaaababaaaaabbbbaaaaaabaaababaabbaaabbabbaabbbbbabaaaaaaabaaababbababbababaabaaaabaababaabbaababbabaaaaabaaaaabbaabaabbbbbababaaaabaaaabbaabbbaabbbbabababbaaabababbababbaabbbbbabbbaaaaaaababbaaaabbbabababbaababaababbaababaaaaaaaaaaabbbbaabaababaabbaaababaaaabbbaabbabaabaaabbaaaabbbaabbbbbabbababbbbaabbabbbabbabaabaababaaaabbabababbabbababaaababaaaabababaabaaaaaaaabbabbbaaabaaaababbaabaaabaabbbabbaaaababbbbbaaabbaaaaabbbbabbabaaabbabbbaaaabbabbbbbbaaaabaaaaaaababbbaababbbbaabbaaaabaabbbbbbabaaaaaaaabbbbababaaabbabbaababbabaaababbbbbbababbbabaaabbabaabaabbaabbababaaaaabbbbbbbaabbbababbbbbbaabaaaaaabbabbabbaabbbaaaabaaaaabaaabbbaabababbaabaaabbbbbbbabababaaabbaabbbabbabbbbbaaaaaababaaababbbabbbabbbaababbaaaaababaabbbaaabababbabbabbaabbbbabbaabaaaabaabababbbababaaaaababbbabbaabbbabbabbabbbaaababbababaabababaabaabbaaaaaaaabbaaabbbbbbbabababbabbbbaaabbabbbabaabababbbaaaaababababbbaabbabababaaaabbabaaabaaaaabbbbaaaabbbabbbbababaaababaabaaabaaabaabababbbbbababaaabbbaaaaabbabaababbabbbabbaabababbbabbbaabbbabbbbabababaabaaabbababbaaabbbbbbbabbaaabaabbbabaaabaababaabbbbbbbabaabaabbabbababbbbbbbabbaabbbaaabbaaaabaababbbbaaaaabbababbbbbbaababbababbabaababaabaaabaaaabbabaaaaaaabbabbaababbabaabbbbaaababaabbbabbaaaabbaaabbbaaabbabbbaaaaabaabaabaaaaabaabbbabbbaaabaaaaaabababababbbaaabaabbbbbabaabaabbbababbbbbabaaaaaababbabaabaaabbbabaaabbaaaaababbbbaaabbababababaaaaaaaabbbbbaaaaaabbbbaabbabbbbaabbababbbabbabbabbbabaabbbabbbaababaababaaabbabbbbababbaabbbabbbabbbabbabbbbabaabaabbbbbbbaaababaaabaaaaabaaaaababbaabaababaaababaaababbabbaaababaaaabaabbababaaaaababaaaaabbababababbbbbbbabababbaaabbbbbbaabbbbaabaabbaabbbabbababbabaaaababbababbabbabaaabaabbaababaabbaabaababaaaabbbabbaaaaababbbabbabaaabababbbaabbbbbbbaaabababbaaaaabbaabbaababbababbbaabbababbbabaabbbbbbbbbaaabbbbbaaabaabaaaaabbaaaababaaabbbaabbaaaaaabbaaaabbbababbbbaababaaabbaabbbbbaabbbabbabbbbaabbabbbbaaaaabababbbbbbaaabaabbaabbbbbabbabbaabbaaabbbbbbaabababaababaabbaaabbaabbbbbbbbaabaaaaabaabbabaaabaaabaabbbbabbaaaaaaabbaabbbaabaaabbabaaabababaabbbbabbbbaababbabbbababbabbbbabababbabbbabbaaababbbbabbbabababbabaaabbabbabaabaabbbbbbbaaabbbbaabaabbabbabbaabaabaabababaabaabbabbaabaababbaaababbbbbababaabbbbbbbaabaabbbbbaaabaaaabbbbaaaaaabbabaabaabbbaaaaababbabaabbbbababbabbaababbbbbabbbbabbbaaaabababbabbaaaaabbaaaabaaabbbbbabbaabbabaaababaaaaaabaaaabbaaaabaabbbaabbabbaaabaaaaabbbbbabaabbaaabbabbabbbbbababbaaaaaaabaabbbbaaaaabaabbbaababaaabaaaaabbaabababbaabbbbbbbaabbbabababbabbbbbaaaaaaaababbabaabaabbbbbaaaabaaaaabbbabaabbbbaababaaabbabbabbbaabababababababaababbbaabbbabbaababbabbaaaabaabbaaaabbaabbbbbabbaabbbabaaaaabbbbaaabbaaaaabaabaabbabaabbaaababbbbaaaabbabbabbaaaaaabbaaabaaabbabaaabababaaabbabbaabbbaabbbbaabbabbbabbaaaaaaababbaabbbbbabbbbaabababaabbaabbabaabaababbaabbabaaaaabababbbbabbababbabbabaaaaabaabbbaaaaabbababbababaabaabbaabbbaabbbbbaaabbaaaaabbbbabbabbbabbabbbabababbbbababbabbaaaaababbbaaabaaaaabaabbabaabababbbbbbaabababbbaabaaaaaabbbaaaabbbabbabbbabbbbaaababababbbaababaaabbbbaaaaabbabbbabaabbbbbbbabbabbabbaaaaaabbaaabababaabaaaabaababababbbbabbbbbaaaabbabaaaabbbaaaaabbabbaabbabaabbbabbabbbaaaabbabababbbaaaababbabababaaabbabaabaaaaaabaaaabbbaabbbaaabaababbaabbbabbbbaaaaaaabbabbaaaaaabaaaabaaabaababbabbaabbabaaaabbabaabbbbabaaaaaaabbbbabbabaabaaaaababbabbaabbaabbbaabaaaabaaaaaaaaabbabbbbabababbabbaaabaaabbabaabbbbaabbabaababaaabaaabaabbbaaaababbbbaaaaaaababbbbbaabaabbbbbbaabbabbbabaaaabbbbbabbabbbaabaababbabbabaaaaaaabaaabbbbaabbbabababaabbbbbaabbabbabababbabaababbbbaaaaababaaaabbbaaaabbaaaabbaabaabababbbbbabbabaababaaaaabbababbaabbbabaabbabbbaaabbbaabaaaabbbabbbabbbaababbabbabbbbbbaabaabbbabaababbaaababababaaababbbbabaaabbbbaababbaaaaababbbbababaabaaaabaaaabbbabababaabbaabbbaaabbabaabbabababaaabaabababbbaaabbaaabaabbbabbaaababbbbbbbbbbbbaabbbbaaabaaaaabbbbbabbabbaababaaabbabaabbaaaabbaabbbabababababbbaaabbbabaabaaaabbbbbaabbbabbbbaaabbabbaaabbabbabbbbbbbbbbbbbaabbaaaabaababaabbbabbaaaaaabaabaababbabaabbaaabbbbaababbbababaabaaababbbbaabbaaabbbbbbabbaabaababbbbbbbabbaaaabbababbbbbbababaabbabaababbbbabbabbaabbaabbabababbbaabbaabaabaabbbbbbbbbabaaabbaaaabbbaabababbabaaaababbabbaabaaabbbbbbaababaaabaaabbabaabaabaaaababaabababaababaaabbbbbaaaaaabaabbbabbbabbbbbbaaababaaaababaaaaaababaababbbabaaaaabaabbbaabbbaaaabaaaaabbbabababbbaabaaaaaababbbababbbabbababbbbababbababbbababbaaaabaabbbaabababababaaabaabbaaaabaaaaabaabbbbababbbbaabaabbbbabbaaaaaaaaaabbbaaabaaabbaaaaaaabbaaaaaabaaabbaababababbaaaaaababaaabababbbabaabbbabaabbaaaabbbbaaaabbaaaaababbbabbaaabababbaababaabbbbaabaaabaabbaaaaaabaaabbbaaaabbababaababaaabbaabbababbbaabbabbaabababaaababbaabbabababbabbbabaaaaaabbaabbbaaabaaabaaabbbbbabbabbbabbbaabbabaaaaabbababbabaaaaaabbbababbabaababaabbaaaaababbaaababababbbaabbabbaabaababaabbaabbbabaaabbababaabbbaababbaaababbaaaaabbbbababbababbaaaabbbabbabababbbbabaaaaaabbbbaabaaabbbabaaabbaabbbaaabbaaaabaabaaababbbabbabbbabaaaaaabbaaaabbabaabbaaabbbabaaaabbbabbabbbabbbababbbbaabbbababbbabbababbbbbababaabaaaabbaabbbbaabaabbbabbbbbbabaabbbbabaaabbaaaaaaaaabbaababbabbaaaabbbbaaaaabbbbbaaaabbaabaaabbabbbbaaaaabaaabbabbaaabbaaaabbbbababbbaabbbaaabbbbbabbbbaabbaaaaaaabaabaabaaabbaaaaaabbbbabaaaaabbaabbbbbbbabbbbbababaaaaabbaaaaababaaaabbbbababbaabaaaabaabaaaaaaaaaabababaabaababaabbabababbaabbabaabababbaabaaabaaabaabbbaabbaabbaaabbaaaaaabaaaaabbbbbbbbbbabbaabbaabaaaaaaabaaabbaabbabababbbabbbbbbbbbbabbaaaaabaababaaabbbaabbaabbbaaaabaaaabbbbabaaaaababbbbaabbbababbababbbbbbabbbabbaaaaaaabaabaaabaababbbbabbaaaabaaaaaaaabbbbbababaaabaabbbabaabbbbbabaaabaabababbbbaabbaababbbbabbabbaabbaabbbababaaaabbaaaaabbabbabaaaaaabbbbbabaaabbbabbbbbbaababbaabbbbaaabababaaababbaabaabababaabababbbbaabaabaaaababaababbbbbabaabbabbaaababaabaabaaaaabaabbbbbbabbbbabbbbababaababaaababbbbaabaaabaaabaabbaaabbabaabbabbababbbbabbbbaabaabbaaabaabbaababaaababbbaababbaabbabbbaabbaababababbbbbbaaaabaababbabaabbbbaaabbbbbbbbabbbbbbaabaababbbbbbabbbbbabbaabbaabaaabababaaabbbbbbaabbbbabababbaabbabaaababbaabababbabababababbbabbaaabbbaaababbbabaabaabaabaaaababbaababaabbbaaaaabaaaabbbbbbbbaabbabbbaaaaabbbabbabbbbbaabbaabbaabaaababababbbabaabaabbbbbabbbbaaabbaaabbababaaaaabbaababbbabbbaaabaababaabababbabbaaabbabbababbabbbbbbbaabbbbbbabbbbbbabaaaabbababbaaababaababbbabbbbbbabbababbaabbabbaabababbbbbbbbabaabaaaabaaabbaababbaaabababbbbaabaababaabababbaaabaaabbabbbabbbaabaabbaaaababbababaabbaabaaaaaaaaaabaabbbbaaabbaabbabbaabbaaabaaabbaabababbbabbabaaabbbbbabbbaababababbaabbbbaaabbabbabaaaabababaaaabbaaabaaaaababbbaaaabbaabbabbbbaaaabbabaaababbabaaaaaabababbbabbaaabbbbbbbbbabaabbaabbbbabaaaabaaaaabaaabbbbbaaaaabbbbbaaaaabaaaaabbbababbaabaabbaababbbabbaaaaaaaaabbabbbbaababaabaaabbabbabaabababaaaabaaababaabbaabbaabaabbbbbabaababbabbaaabbbabababbbaaabbbaabbbbaaaababaaabbbbabbabbbabbaabababbbbabbabbbabababbaaaabaaabaaaabbaaabaababababaabaabbaaabbbababbabbabaabbaaaabbabbaaaaabbbbabbaaaaabababaabbbbaabbababababaabbabbabababbbababaabbbbbaabaaaababaabbbabbbababaaaaaaababaaaabbbbaaabbabbabbaaabaaababbabbbbbaabbbaaababbabbaaaababaaaabbaabaaabbbbaaabababbababbbaaaaababaababaaaabbbaaaaababbbabbaabaaabababaabbabbbbaaaaaabbaaababbbabaaabaabaabaaaabbbbabbbaaaabbbbaabbaaabbbbbbbabbaabbaaaababbaaaabbaaaaaaabaababbabbbbbabbabababaaababaabababaabbbbaaababaaaaabbaabbabbbbaabaababaababbbbbabbbabaaabaaaaaabbbaaabaaabaabbabbbbbaabababaabaaabaabbabbbbbbabbaaabaabbabbabaabaaaaaaaabaaababaabbabaaabbabbbbbabbaaabbbbaaaaaabaaaabaaabaabaaababbaabbbaaabbaabbbaabbaabbaababaabbabaaabbbabaaaabbbaabbababaabbbbaabbbbabaababababaabaaabaaabbabbbaaababaabbbbbabaabaaaaababaaaaabaabbaabaaabbbbabbbbbbaaaaaaaabaaabbaabbbaaaaabbaaabaabbaaaaabababbababbabbbbabbaabaabbaabbaabaaaaaabbabbababbbaabbaabbbbbbaaaabbabaababbaabbaaabaaabbbaabbabaaabbaabbbbbbabaaababbbabbabbababaababbaabbaabaaababbabaabbbaaaabaabbabbaaabaaaaababbbabbbaababaaaabbbaaaababbababbababaaabaaaaaababbabbabbaaababbbbaaaaabaaaababaabbbabbbbbbbbaaabaabbaaaabaabbabaaabbbabbabaaababaaaaaaabbbabbabaaaabaabbbbbabbababbaaabaabaabaaaaabbabbbbbabbbaababaabbbbaabaaaabbbbabbababbbbaaabaaaaaaababbababbabbabbaaaababbbaaabaaaabbbbbbaababaababaaaabaabaaababbaabaaaabaaababbbabbbaabababbbaabbbbbbabababaaaababbbaabbabbaaabaabaaababaabbbaaabbabbaabbbbbbbbbaabbabaabbbabababaaabaaabbbababbabbabaaabbbbbabbbaaababababbbbbaabaaaaabaabaaaaaaabbbbbaaabaabbababaabababbabbaaabbaaaabbbbaabbbbbbabbbaabbababbbbbbaaabaabaabbaabaaaaabbbbababbabbaabbaaabaaaaababababbbbbaabaaabbbbbbaaababaabbaabbabaaaaaaabbbbbbbababaabbabbaabaabaabbabaaaaabbbbbbbaaababaaabbabaabaaababbbaabbbabbaaaaabbbaaaabbbaaababaabaabbabbaaabbabaaabbbbabaabbbbbbbbbababbaaabaaabbbaaaaaabbaabbaabbaaaaababaaaaabbbbaaaaabaabaaabbaaabbbbababbababaabaabbaabbaabbabbbaabaababbbbababbaabababaaabaaaabbaaabbbabababbaaababaabbaaaabaaaaabbababbabababaabaabbaaabbbbabbabbbbbaababaaaaabbbbbbbbabbbbbabbbbaaabbaaaababbaabaaababbaaaaaabbbaaabaaababaabbaabbbabbabaaabbbabbbbbbbbabbbbbaaaaabaaabbbbabaababbbaaabbababbbababaabababbabbabbbabbabbbbbabbbbabbabbbabbbbaabbabbbabbabbaaabababaaaaababbabbbaaabbaaabaabaababaababbaaabbabaabababaaabbaabbbaaaaababababbaabaaaaaaabaaabbbaabbabbabaababbbabbabbbabbabbbbaaabbbbbaaaabbbaaaabbabaabababaabbaaaaaaababaabbabaabbabaaababbababbbaaabbbbbbabbbbabbbabbaabaaababaaaaaabbaaaaaabbaabaaaaabaaaaababaaabbabbbababaababaaabaaabaaaababababababbbbaaababbaaabbbbabbabaababbabaabaaaaaaaabababbbaababaaaaaaaabbbaaaabbbbbabaaabbaabbababbabbbbbbbbbabbabbabbaaabbabbbaaaaaababbaabbbabbbbaabbaaabbbbbbabababbbbaaaabbbaabaabaabbabaababbbababbaaabbbbbaabbaababbbaabbbbabbbbaaaababbbbabaabbbbabbabaaaababaababbbbaaabaabbbbabbabbaabbbbbababbaaaaabaaabaaabbabbbbabaabbbaaaabbabbbbbaabababbabbbababaaaaabbbaaababbaabbaaaaabaaaabbabaaaababaabbbbbabaaaaaabaabbbabbaaabbbaabbabbaabbbbababbabbaaabaaaaabbababaaaaaaaabbabaabbbababbaabbbbabbbbbabbaabbabbaaabaabbaababababaabaabaabbbaabbbababbbbabbbbabaaababbbbaaaaaaaabbaabbbaabbaaabbaaaaabaababaaabbbabbaabaababaabaabbbabaabbbabaaabaaabbaabaaaaaabbaaaaabbbbababababbbabbbaaababbaaabbaaabbbbbaabaabaabbabaaabbbaaabaaabbbaaaaaaabbbabbbaaaaaabaababaabbbaabbabbbababbbabaabaababbabbabbbabbbbababaabbbabababaaabbbabbbabbaaabbababaabbaaabbbbbbaaaaaaabbbaababaabbbababaabbbbbbaaaaaabbabbaaaabbbbbbbabbbbaaaabababbababbbbabaaabbbbaababababbaabbbbbbaabbbbbaaaaaabbabbbbbbaaabbaabaabaabbbbbababaabaabababbaaabbbbbabbaaabababbbaababbbbbaababbbabaabbabaaabbaabaaaaababbbaabaabbbbbaaabaabbbabbbabbabbaabaaabaaabbaaaabbaaabbaaaabaaaabaaabbaababbaabbababaabaababbabbbabaabbbbbbbabbbbabaaaaaabbbbbaabaaabaaababbbbbbabbbbabaaabbaaabaabbbbabaabbabbbabbbaaaabbbaabbbbaababbbaaaaabababababaaabaaaabbbbbababbaaaabababaabbaaaaaabbaabbbabbbabaaababaaaaababababaabaabbbabbbabaabaaabbabababaaabbbbbbaaabaaababaaaaabaaabaabbbbaabbababbaaabbaaaabbabbaabbbbaaabaabbabbaaaabbababbbababbaaaabaabbaaababbbaaababaaabaaabaabaabbaaaaaaabaababbaaaababbabbabaaaabbbbabaaabbaababbbbbbaababbbabbababaabaaaaaabbaabaaabaabbaaabbbbbaabbbbabaaaaaabaaabaaaaabbbbbbbbaaabbaaaaaabaabaabbabaaaababaaaaaabaabbbbbaaabbabbabaabbabbabababbababbaababaabbabbbabaabbaabbaaaabaabbaaaabbbabbaaababbaabbbbaaabbabbbbabaabaaabaababbabbabaaaaaaabababbbaababaaabbbbbabababaabbbbbaaababaaaababbabbbbbbaaabbabaabbbbbbbaabbbababababbbaabbababbbababbbbabbbaaaababbaabbabbbaabbaaabababbbaabbaaababbbbabaababbabaabbbbaabbbabaaabaaaababaabbaabaababaabaaaaabbbabbbaaaabbaabbaaabababbbbbbaababbaaaabbbabbabbbbabbbbabbababababbabaababaabaaaaabbabaaabaaaabbbbaabbaabaaaaabababbaaaaaabbaaabbabaaabaaaaabbabababaaabbabbabbbbbbaaaabbbbaabbaabbbbaaaabbaaabbbbbbaaabbaaabbbbbabbbbabbaababbabbababbbbbbaaabbabbaaabbaababbbaababbbbbbbbaabbababaaababbbbbabbaabbbbaababaabababaabaaaabaaababaaaaaaabaabaaabaaabbbbababaabbbaaaaabbbaaabaababbaabaaabababbbbaaabbaabbbbbbababbbaaaabababaaabbbbabbbabababbbabbababbbabbbaaabbbaaaaaabaaababababbbbaababbbaabaabbbabbbabbabbbaabbaaaaabbabaaabbbaaabbaaaaaabaabbbbaabbaaaaabbaaabaaaaaaaabbbbbbabaabbbbbaaabaabbbbabbbaababaababbbbaabbababbaababababbabbaaaaabbaabaaaaabbaaaababbbbaaaabbaaaabbbbabbbbbbbbaaabaaaabbaaabaaabbabaababaaaabaabbbbbabbbbaabbbabbaaababaabbabbaabbaababaaaababaaaabaabaaababbbbbbbbbabbbbbbabaaabababaaaaababababbbabbaabaabaabaaabbbaabbbbababaababbbaabaaabbaabbabaaaabaaabaaaabaaaaaabbababaaabbbaaababbaabbbbbababbababaaabbbaaababaabbbabbaabbabbababaabaabbbaababaaaaaaaabbaabbbaababbbbabbbbabbbaaaabbbbabbaabaababbbabaabbbbaabbbbabbaaaaabbabbaabababbaaabbaabbaabaabaabbbaaababbbababaabaaaaaababbaabaabbaabbabaaababbbbababbaabaabaabbabaaaabababbbbabbbbaaabbbbaaaaaaaabaabaabaaaaabaaabaabbaaaababbbbbbaabbbaababaaaabaaababbaaaaabbabaaabababaaaaabbbaaaaaababbabbbabbbaaabbbbabbaababbabbaabaabbbbbbbbabababbabaabbaabbbabaaabbababaabbbaabbbababbababbbabbbbaabaaabbababbaababbababbaaaaaabbbbbabbbbaabaaabbbbababbaabaaabababbbbbabbbbbbaabbbabbbaabaaabaaaaaabaaabbbbbbababaababbbbbabbaaabaabbabbaaabbabaabababaaabbaaabaaaababbababbbbabaaaaabaabbbbbaabaaaaabbbbbbaabbabbabaaababbbaaabaabbababababaabbbaaabbbaababbabbbabaaaaababababbaabbbaabbbabaababbbabaabaabbbaabbbbbabbbaaaabababaaaabaabbbbabbbabbbabbbbaabaabaabaaaaababababbaabbabaabbbbabaabaabbabaababababbbbbbaabaaabababbabaaaaaabbbaaabbaababbaabbbaaabaabbbbabbababbaaabbbbbaaaabaabbbbaabbbbbbbabbbaaaababbaabaabbaabbaabaaabbbaaababaaabbbbbbbabbababbaababaaaaaabbabbabbbbabbabbbaabbbbbbaaaaabbbaaaabaababaaaaaaaabbbbabababaababbbbabbbbbaabaabbabaabbabbbbbaababababaaababbaabbbbabbabbabbbbbaabbaabbababbabaababbaaaabbbaaababbaaaababbbbbabbbbbbbaaaaaaabbbbbabbbababbbbaaaabbbaabaabaaaabbbababbaabbbabbabbaabbaabaabbaaaaabbbbaabbbaabbbbaabbbaaaabbaabbaabbabbbabbbbbabbbaabaabbbabaabbbbaaababbbaaababbaaabbabbabaaabbbbabaabbbabaabaaabaaaaabbbbaaababbbabaaababaabbbbbbbbbbbbbababaabbaabaabaabbaabaaabababaaaaaabaabbaaababaabaaaabbaaaababaabbbabaababbbaababaaaaabbbbaabbababbaaabbbabbabbabaabbbbbbaaabbbbbbaabbabaabbaaaabaaabbaabbbbaabaaabbaaabaababbaaabaaaabaaabaabbaabaabaaaaabaabaabbababaababaabbbabaabaabbbbbbbbbbbaabbbabaabaaaaababbaaabbbbabababbabbbbbbababbbabaababaabbabbbaababbabaaaaaabbababbbaabbbbababaabaaabbbabbabbabbaaaabababbbaaabbabbabaabbbaaaaaabababaabbbaaabbaabababbbbbabbabaababaaabaabaababbbbabaababaabbaaabbaaaaaabaaaaaababbaaaabaabaaabbbababaabbbbbbabbbaaabbabbabbbbbbaaaaabaaaaaaaaaaabbbaabbaaabbaabbbabbabbabababbbbabbabbaaaabbbabaaabbbbbaabaaaabaababbabaaaabbaababbbaabbbbaabaaabbbaabaaabbbbbbabbabbabaaabbaaaabbaabbaabbbabbbbbabaabbbabaaaaabbbbbaaaababbaabababbaaaabbabaaaaaaabaababbaaaaaaabbaaaabbbababbbaaaabaaaaaaababaaaaaabaaabbabbaaababaaaabbaaaaababaabbbbaabbbaababbabaaababbbaabaaaabbaababbabaaaaababaaaaababababaaababbbbaaabaabbbbbbbbaaabbbbabababaabaabbbaaabababaabaaaabaaabbabababbabbbbaabababaaaabbabababaaaaaabaaababaabbbabbbbabbbbaaabbbbabbbbbabbbaabaaaabaabbbaababbabbabbbbabaaabbaabbaabbbaabaabbaaabababbabbbbbbaabbaabaabbbababababbabbbbaabbabbbbaaababbaaabaababbbbbbbaababbaabbaaabbbbbaabbaaabbabbabbbabbbabbbbbbaaaabbbaabbaabbbbaaabbaaabababbaaaabbabbaabbaaaababaabbabaaabbaaababababbabaabbbbbaaabbbbaaabbaabbaaabbbabaabababbbabbaaabaaaaabbaabbbbbaaabaaaabaaaaaaaaaababbabaabbbbabbbabbbabbabaaabababbabbaabbababbababbabbbbbababbababbababaaabbbbbaaaabababbabababbbaaaabbbbbbbbaaabaabbabbbabbbaaaaabaaababbababbbabaabbabbbbbabbbabbbabbbaababaaaaaababbaaaababbaababbabbbbaabaaaabbabaabbbabbbaabbaabbbabbabbabbbaabaabbababbabbaabaabbabbbbbaabbabbaaaabbaaaabbabbababaabbbababbaaaabbabbaabaabaaaaababbbabbbbbaabababbaababbabbbaaababbaabbbbbbbaaabaabbaabbbabbbbbbaabbbbbaaabaaabaaabababbbabbbabbbbababaaaaabaabbbababbaabbaaababbaaababbabbaabaabaaaabbabababaababaabbaaaaaabbababbaaabbabbbaaabaabbbbaaabaabbababbababaaabbbbbbbaabbaaaabbbabbbaaabbabbaaaaabbaaaaababbaaaaabaabbbaabaaabaababbbaaaaaabaaabbaaababaababbbaabbbbaabbbaaaaaaaaababbbbbaabbbabbabababbaaabaabababbbaabbbaabaaabbbaabbbabbbabbabaabbabababbbabbaababbaabbbbbbbababababbbbabababababaabbbbbbbabbbbabbaaabbbaabbabbaabbbaabbbabaabbbbaabbbaabbaabbbbaabbbabbbaaabbaaaaaabbaabbaabaabbaaabbaabbbbbbbababbaaabaabbaaabbbabbbabbbabbaabbbabbbbabaaabababaababbabaabbbbabbbbbababbabaaabaaaaabaabbabaabbbaaaaaaaaaaaabbbababbabbbaabbabbbabbbbabbbabaaaaababbbaaabaaabbbabbabbbababaabaabbbbaaabbababbbabaabbaaaabbabababbaaababbbbababbbaaabaaaaaaaaaaaaabbbaabaaabbabbabaabbbaabbbbabbbaabbbaaabbaaabbbaaaabbbbaabbaaababaababaaaaaabbbbbbbbaabbbbbbaababbbaaabbbbbbaaaaaaabbabbaabbbaaaabbaaabbbababbababaabaaaabbabaaaabbbabbaaaabbbabbaababbaabaabbbbaabbbaaaaaaaabbabaabaaabaabbababbbbaababaabbaabbabbbbbbbabbbababbbaaababbabaabbabaababaaaababbbaabbbbbbabaaabbaabababababbbabaaababbabbaaabaababbabbabaabbbaababaaabbababbbabbabbbbaaaabaaaababbbabbaaaaabbbaabaaabaababbabbbaaaabbaaaaabbbbbbbaaabbaabbbbaaabaaaaabbabbabbaabbabbabaabbaaabaabbaabbbbaaabaabbaaaababbababaabbaaaaabaaaaaabaabaabababbbbabaaabababbbbaaaabbabaabaabaaabaaabaabbaabbababaaabbaaabbbbaabbaabaababbbbaaaabaabbbbabbbabbabbaabbbbbbabaaaababbbbbaaaabaaabbbbbbabaaababbabbbbbaabbbbabbbbbabbaaaabababbababbbabbbbababaaaaabbbbaaabaabbababaabbabbaaabbababbaaabbbaabaabbaabbababbabbaaaaaabbbababbaaabbbbbbbaabababbbaaaabbbbbbbabaaabaaaaaaabaaababaaababbabbabbbbbaabaaaabbbaaabbabbbbbbbbbbaabbbbabaaabaababababbaaabaababaabbabaabbabaaaababbbabababbbbbbbaabababbbabbabababbbbabaaaabaaabbbbaaaaabaabaabbaaabbbbbababbbaaabbababbbabbbabaabaaaabbaabbaabbbbbbaaabbbaaababaababbbbbababbababbaaabaabbbbabbbabbaaaaababaabbaabaaabbabbaabbbabbbababaabbaababaaabaabbbaabaaababbaababbbbbbabbbbbbaabbabbaaaabbbaababbaaabaababaaaaaabaabbbaabaabbabbababbaabbabbbabbabbbababbbbbbbbaaabaabaababbbbbbabbabaaaaaaabbabbbaaabbaababababbbabaabababaaaabaabbabbaabaabbbabbabbabaabbaaaabaaabaaabbbabbaaabaaaaaabaaaaabaaababbabaababaababbaabbbbbbabbbbbabbaaaaabaabbbabbaaabbababbababbbaaababaabbbbaaaabbabbaaaaaabaaabaabbabbaabaabaabaababbbbaaaaabbbbaabaabbbbbbbaaabbaabbbaabbaaabababaaababbbbaababaababbbabaaabbaaabaaabaabbababbbbaaababbabaaaaabaabbbbbbaaaabbabaaaababbbbbaabaaaaabbaaaababbaaabbbaaaababaaabbaabababaabbbaabbaaaabbaabbabaaaaaabbaabababaabbabbaababbbabbaabbaabaabbabbbbbbbababbabbbbbbabaabaaaabbbaaaaaaaababbaaababbbbbbabbbbbbaabbabbaabaabaabbaaababbabbaaaaabbaaabababaabababaaaabaabbabaaabbaaaabbbaababaabbabaaabaaaabbababbbaaaaaababbbabbaaababbbbaabbbbbbbabbbaabbaabbabbbbbaaababababbababbaabbbbbabbbbbabbbbaabbbbbaaabaaaabbaababbbaabaaaabbaabbbbbabbbaababbbbabbabbaababaaaaaaaabbaabaabbbabaabbbbabbabbabababbbaabaaabbbbbabaaababbaabaaabbbaaaabaaabaabbbbabaaabaabbbbbbbababaaabbabaaababbbbaaaabaaaaaaabaaaabababaabababbabaaabaabaaabbaaababbbaaababbaababbbbbbaababaaabababbbbbbabaabbabaabbbbabbbbaabbabbaabaababaabbbbaabaabbaaabbbaaabbaabbaabbbaabaabaaaabbabbabbaabbbaaabaabaabbababbaabbbbbbaababbaabbaaaabbabaababaabaaaaaaaabbbbabbbbbbabbbabababbabbbabaabbaabbbbbbabaabbaaabbabbbbaaabaabbaaaaababaabaababaaaaaaabbabaabbbbbbabaabbbbaaabaaabaaabbbbababaaaaababbbbabaaaabaaaaaabbbbbabaaababaaaabbabaabbaabaaabbbbaaabbbaaabbbaabbbabaabbabababbabbabaaaabbbbaababababababbabbababaaabaaababbbbaabaabbbbbbaaabbbabaabbbaabaabaaaaaaabbbaaabbabaababbbabbabbbaaaabbbbabbbbbbabbaabbaababbbbaabbaabaaaabbaabbabbabaaababaabbbabaaaabaabaabaaaaaabbababbaabbababbbaaabbaaaababaaaabbbbbabbbabaabababaaabbbbaababbabababaaaaaabbaabaaaabbbbaaaabaaabaaaababbbbbaabbbbaabbbabbababaabbabaabbbbaabbbbababbbabababbbabaabaababaaababbbaaaabbabbbbbbbabbbbbbbbabbbaaababbaaabbabbaabaaabaaabbabbbbaaabababbbbbbbabbbbababaabbabaabbbbabbbaaabbaaaabaaabaabababbabbabbababbbababaabababaaaaaaaabaaaaaaabbaaaaaabaabbaababbaabababbababaaabaaaabbaaaabaaaaabbbaabaabaaaabbbbaabbbbaabbbaababbababaaababbbaababbbaababbbababbbaabbbbbbaabababaaababbbbaaaabbbababababaabaaabbbaabbbbbbbbaaaabbbabbbbabbbbabbababaaaaabaababaabaabbababbbbaaaababbabababaabbbabbbbaaaabababbabaabaabbaabbbabbbabbabaaaaaaaabaabbbbbabbabaababaabbaabbbbaabababbababbaabbbababbabbabbbbbbbbaaaabbbbabaaaaabbabbbbaabbbaaabbbaaaabbababaabbbaabaaabababbbbaaaaababbbaaaaaaabbbbaababbaaabaaabaababbaaababaabbabaababababbabbbaabaaabaaaabaabbbbabbbbaaaaaaaabaaabaaababbbaaaabaaababaaaababbabbabaaaaaabbababaabbbbbaababbaabbbbabaabbbabbbbabaabababbbaaabababbabbabbabaaaaabbbabbaabbabbabbbaaabbaababbaaaaabaaaabaabaabbbbbaaaabbbabaaabbbbababbaababababaabbaabbabaabaababbabbababaabbaaabaaaaaaaaaababaaababaaabaabaaabbababbababbaabbbabaababaabbaababaabaabaaaabababaabbabbbaababbabbaaaaababbbaabbbbbaaaaababaababbababaababbaabbbbbaabaaaaabbbabbabbbabaaaabaaaabbaaaabaabaaaaabbabbabaababbaabbbbbabbababaaabaaababaaababaabaabababaabaaabaaaabbaaabaabbabbbababbbabbaabaaaabbbabbabbbbbbbbaabbaababbbbaabbbababbabbaaaababbaaaaaaabababaababaabbabababaaabbaabbbbabbabbaaabababbbaababbaaabaababababaababbbbaabbbbaaaaabbaaabbaabaaaaababbbaabababbaabbbaaabbbbabaaabaaababababbbbbaaabaaabbababaababbbaaaabbaaaabbbbabbababbabaabbbaaabbaabbababaabbbaabaaaaabbaaabbbabaaaabbbbbbabaaaaabbababbbbbbaababbbaaababbbbbabaaaababbbbbbbbaaaaabbaaabbbabbababaaaaaababbbababbabbbbbbbbababaabbbbaabbaaabaabbaabbaaabaaababaaaabbaaaabbabaaaabbabbabbaabbabbababaabababbbbbbaaabbaabababbaabbbaababaaabababbbbbabbbbabaababababbabbaabaaaabbabbabbaaabbbbabbbaabbbbbbbaaaababbbabbaaaaababbbbbaaaabbbaaaabaaaaaabbabaabaaaabaaaaabababaababbbabbbbabababbbbbabaabbbaaaaabbababbaabbaababbabbaabbaaaabbbaaabababbaabaabbaabaaaaabaababaaabaaaaabbabaaababbbbbbbabbabaabbbbbbaaaaababbbbabbbbbbaaabaabbbbaabbbbbabbbbabaaaabbabbbaaabaabaabbaabaabaaababbbbbaabaaaaabababbaabbaaaabbbbaaaaabbbbabbbbbbaaaabaaaaababbaabbaabbbbbabbbaabbbababbabbaaabaabaaaaaaababbbbbbaaabbbbabbbabbbbaaaabbbbabaabababbbbaabbaabaabaaaabbaaabbababbabbaabbbbbaaaabaababababbbaabbbbbaaabaabbbaabbaaaaaaabbbbbabbabaaaabbaaaaaaaaabbbabbaaaababaaababaaaaabaaaaaabaabaaabbaabbbbbabababbbbbaaaabaabbbabbaababaaaaaabbaaaabaabaaabbbbabaabbbaabaaababbbaaabaaaaababaabaaabaababbbaaaababbaabbabaabababbaaababababbbbbabbbaabbabbabababbabbaaaabbaabbaabbbbabababbbabaaabbaaabaabbaaababbbbbbbbaababaabbbababaabbbabaabaabbbbabaaaababbbababbbaabaaabaaabababaabbbbaaaaaababbbbababaaaabababbbbabbbbbbbbbbbabaaabababaaababbbbbbaaaababbbbbbaaaabaaaaababbbbbbbaaabbbbbabbabaabbaabbbabaaababbaabbaabaaabbbbaaaaabbaabbabbbabbbaaaaababbabbbababbbaabbbbaaabaababbbababbbbbbbaaabaabaabaabaaababaabababaababbabaababbbabbbbababababaaaaabaababbaaaababbabbabbbbbaaaaaaababbbaabbbbbaaaaabaaaaabbbaabababbaabbababbaabababaaaababaabbbababbbbbbababaaaabbaabbbbababaabbaaabbbabaaababaaabaabbababbbbbaaabbababbaaabbbbabaaaabbbaababbabbaaaababbaaaabbabaabbbabbaaababaaaaabbbbbaaababbbbababbbbbaaaaaabababaaabbabbabaabaaabaabbbbbaaabababbbbbaabaaabbaaaaabbabbbbbbaaabbbaababbbbbaabababaaabbaabaaabbbbabbbababababababaabbbaaababbbaabbaaaabbbbaabbabbbbaaabaaababbbbbbaabbbbbabaaaababaaabbabbbbaababbbbbabababaabaaaabbbaaaabbbbabaaabbbaaaabbbabaaaaabbaaaabaaaabaabbababbbabbbbabbababbaaaabbababaaaababbbabbbbbbbbaaaababbaababaaaabbbbaabbaababaabbaaaaaababaababababbbabaabaabaaabbbbbaaabbaabbbabaabaaabbaababbbbaabbbbbbbbaabbbabbaaaabbbabbababbbbabaaabaaaaaaaabbaaabaabaaabaaabbabbbaaaabbabaabaabbbaaaaabbaababbbbaabbbbabbabaaababbaababababbabbbbaaaaabababaabbbbaaabbbbbbabbaabbbbbaabbaabaaabbbbabaabaababbaaabbaabbababbbbbbbaaababbbbbbaabbaabbbbbbabbbabbaabbbbababbbbaaaaaabbaabaaabbabaabbabbbaaaaababbaabababbbbabaaaabaababaaabbaaaaabbaabaabbbbabbabaaaababbabbababbbaaabbbbabaaaaababaabbabaaababaaabaabbabbaabbababbbbaaaababababbaaababaaabbaabbabbbaabaabbbabbbaaaabbabbbaaaaaabaabaabbaababaaaabbababbabaabaaaaababaababbbaaaabbaaabbaaaabaaaabababababaabbabbbaaabaabbabbbababbaaaabaabaabbaaabaabbbbbbabaaaabbababbbbbaaabbaaabaababaababaabbaabaaababaabbabbbaabbabaabbabbbbaababbabbabaaaabbababbbbbabbaabaabbaabaabaaabaaaaaabbaabbbaabbabbaaababaababaabbbaaaaabbbaabaaaabababbabbbbaaaaaabbbaaabbaabaaaaaaaaaaabbbbbbbbabbbabbabbabababbaaaaabaabbbbbbbababbababaabbbbababaaabaabaaabbbaaaaabbabaabbbabaabaabbabbbaababaabbbbabbbbaabbaaababbbbbbbabbbabaaababababaaabaabbababaaabbbabbaaabaaabaabaaabaabaabbaaababbababaaaaabbbbabbbbbbbbaaaabaabbbbabbbabbaababbbbabbbaaaabaaababaaababbababbaabbbbaabbaababaabaaabababababbbbabbbabababaaaabaabbabbabbaaaaaabaaabaabbbaabaabaabaaaabbbababbbabbbbbbbaababaababbaaaaaaabbaaabbbaabbbabbbaaabaaaaabaabaaababbbaaaabbaaaabbbababaaababbaabaaaabaaababbbabaaabbbbbbabaabaabaaabbbabaaababbbbbbbbbbaabbabbabbaabaabaaaababbabaaaababaaabaabaaaabbbbaabbaaabababababbaababbbbaaaaaaaaabaaaabbbbbbbbbbabaaaaababaaabaaaabaabaaaaaaaaaaabbaaabbabbaaaabaababbabaaabaaabaaabaaabababaabbababaabbababbbbbabaaaabaaabaababaaabbbabbbaaababaaaabbbaaaaabbbbbbabbababaabbbbbaaababababbbababaaaabaabbaaaabaabbaababaaaaaabbbaaaaaaaaabbbabaaaaaaaaaaaaababaabbbaabbaabaaabbbabbaabbaabababaabbaabaaaabbbabaabaababbbbaaaaabbbaababbbababaababbbabaabababbabbabbbabaabbbabaabbbaabbbaaabbababbabbabaaabbbbaabaabbaaaabbbbaabaabaaabbabbaaaabbabbaaababaaabbbbbbabbabbbbaaababababbababbbabaabaaabbabaabababbabaabbaaaaaaaabaabaabbbabbabbbaabbaaaaaaabaaaaabaabaaabbbbabbbaabbbbbabababbabbaabbaaababbaabaabbabbbbaabbabbaabaabbaabbabbbaaabaabaabbabaabaaaabbabbaaabbbaaabbbaabbabbbbbbbabaabaaabbbbbabaaaaabaaaaaaaabbaabaababaaabbbaaaabbababaaabbbbaabaaaaababaabbbaabababaabbbabaabbbaabaaabbaaaaaaaabbbbaaabbbbbaaaabbaaaabbbbbbbaabaaabababaaababbabbbaaabbaabbaabbabababaaabbbaaaaaabaaababababaaaabaababaaaaaabaababaaabbbaababbbaabababaaaaaabaaaaabbaaaabbabbbbbaabbababaababababbbbbbbaabbaaaabbbaabbbabbaabaaabbaaaabbababbabaabaaababbaabbbbaabbabbbbabaabbbabbbbbabaaabbbbbaabbbabaababaababaaababbabaababbbaaabbababbbbabbbabaaabbabbaababaaaaabbababbaabbbabbbbbbabaaabbabababbbbabbaaaaabababbbbbbbabbbabbaababbbaaababbaabaabbabbbabaaaabaaabababbabaaabbabbbbbabbbabbbabbabbbbbbabbbbaabbbaaababaabbabbabbabbaaaabbaaababbbaabbbbabbabbbbababbbbbaabbabbbaabbbbbababbbaabbabbaaabbaabbbaabbabbabaabbaabbabaaaaabbbabbbbbbabbaabbbaaaabaaabbbaaabababbbabbbabbbababbaababbbabbaaaaaaaaaaababaaaabbbabbaaabaaababbbaaaaabbbabaaaabbbaabaabaabaabbaabbababaabaaaaaababbbbaabaaabaabbabbbbabbbaabaabaaabbbabbbaaaaabbabbaaabbbbaabbabababaabbbabbbaabbaabbbabbbbaaababbaaabbbbbbaaaaaaaaaaaaaaababbbaaaabbbaaabaaabbbabaaababbaabbbabbaaabbababbabaabbbbaabaaaabbbaabababbbbbbbabababaaaaabaaaaabbabbabbbaaababbababbaaaabbbaaaabbbaaabaaaabbabbbbbbabbaaabbbbabbababbbababaaabaabaaaaababbbababababbbaaabaaabbaabbbaababbbaaaabbbabababbbbaabbabbababaaababababaaaaabaabbbaaabaaaaaabbbbbaaabbbbaabbaaabbbabbabaabaababbbbbbbbabbbaabbababaabababbbbabaaababbbbababbababbaabaaabbaabbababaabbabbabbaabaaabbabbbbbabbbabbbaabbabbaabbbbaaabaabbabbbaaababbbbabbabbabbaabaabbbaaababaaaaabbbbbbabababaaaababaabbbabaabaabbbabaaabbaaabbaaabaaabababbaabbaaabbabbbbabaaabaaaabaaabaaaaabbabbabbbababbbaaababbbbbbbbababbaaaaaaaabbbaababaababbaaababaabbabbaaabbabbaabbababaabaabaabbabaaaaabbbababbbaaaaabaabaaabbaaabbaabaabbaababbaabbaabbaaabbaabaaaaabbbbaababaabaaaabbbabbaaabbabaabbababaabbbbbabbbbaaaabaaabaabaabbbaaabaabaabbbabbabaabbbbbbbbbaaaabbabbaabbbabbaaaaaaaabaaaabbaaaaabbbabababababaabbbbabababaaaabaabaaababbaaabaaaabaabaaabaababbbbababbbbabbaaaaabbbbbbbbaabbbbaaabbabaaabaaaababbbbbabbbbbaababbbbbbbaabababbbbbbbabaabbbbabbaaabbbbabbabbabbbaababaaaaaababaabaaaabababbaababbaaaaaabbabbbaabaabbaaabbbaabaabaaabbaaabbabbbbaaaabaaaabbabaabaabbaabaabbbaabaaabbaababaabaaabbaabbababaaaabababaaabaabbbbaabbbabaabaabaabaabbbabbaaaaabaababbbbaaabbabaabaabaabbbaaaaabbbbbbbaaabbabababbaaabaabbaaaababaabbbbaaaabbabaabbbaababbbabbbababbabbaabbbbabbbabaabbbbabbabbababbbbbabaabbbaabaabbaaaaabbbbaaaaaaabbaabaabbbbbbbbaababbbababbbaababbbbababaaabbbabbbabbbbaaabaabbbabbbbbbbabababbaaabbaabbbbaaabbaaabbababbabaaaabaabbbabbbbaabbbaababaabbaaabababbbbbabaaaaaaaaabbbbaaabbaabaabaababaaaaabaabbaaabbbbabbabbaabbaaaabbabbaaaaabbbaaababbabaabaaabbaaaaaaabbabbaaabbbabbabbbaaabababbbaaabaabbaabaabbababbaaaababbbbabaaababbbababaabababbabbaabbbababaaabbaaaababbbbbaaabaaabbababbabbbaabbbbbbbbbababaaabbbbbaabbbbbaaabbaabbbbbbbaaababababbbabbbaabbaaabaaaabaaaaabbabaaaababbabaabbaabbbbabaabbbbbbabbbbbabbaabaaaaabaabbbaabbaabbbbabbbbabbbbbabbaabbabbbbbaabbbbbbbbababbbaaaaabbababbbaabaabbbaaaaaabbbbbaaabaabaabbbbababaaabbbbaabaabaaabaabbabbaaabbbbbbbaaaabbbbaabaababaaababbaababbbbbabbabbabbbbbaaabbbaabaaabaababbaabbbabbbaaaabababaaaaabaaaaaaaaaabbabaaababbaaaaaaaaabbabaaaabaabbabbabaabaabaabaabababababbabababbabbbaaaababbabbaabbaaaabbabbbababaababbaabaabbabbaaaaabaababbaabbabbbbbaababaabbabbbaaaabbbabbbbabbabbabababbaabbbaaaabaababbabbababbbbaaabbaaabbaaaaaaaababbabaabaababbbaabbbbaaabbbbaaababbabaaabaaababaaaaaaaabaababbaabababbaabbabaaaaabbbaabaaaaaaaaaaaaaababbababaaaaaaaabbabbaaabababaaaaabaabbbbbbbbaabbabbabbabaaaaabaaabbbabaabbaababbabaababbbbbababaabaaaabbbaababbbbaabaaabaabbbaabbbaabababaaaabbaaaaabaabbabaaaaabaabaabaaabbbabbbaaaaababbbaabababbbbaaabbaabaaaabbbbaabaabbbabbaaabaabaabbbbbbabbbbaaababaaaababbbabbbbbababbbaaabbbbabbabaaababbbbaaaaabbbaababbbaaabbbaabbaabaaabbabbbaaaaabbaabbbbabbbabaabaaabaabbbbbaaabbaababaaaababbbbbbabaabbbaabbaaaabbbaabbababaaabbaaaaabaabaabaaaabbaaabbbababbbaaabaabaabbbaabaaababaaaabaaabbabaaababbbbababababbaabbbababbbaaaaabbabbbbbaaabbaabbbabbaaaabaabaabaababaabaaabbbaabbabbbbbbbbaabbaabbaaaaabbaaaabbaaaaabbabbababbbaabaabaababbaaaaaabaaabbbbabbbababababbbababbbbaaaabaaabbabbbbaabbbbbaaabaaabbaaabbaabababbaababbbbbbbabaaabaaabbabbbbabaabaaaababbbbbaabbabaaababaababbbbaaabaaabaababaabbabbbaaaabbaaabaabababbabbbabababbabababababababbbbbbabaaabababbaababbaabaababbbaabababbaaaabababaaaabbabbabbaabbbbbaabbabaabbbbbabaabababaabaabbbbbababbaaaaaaaaaabbabbbbbabbababbbabbbaaabbaababbaabbaabbbbbaaaaabaaabaabababbababaaababbaaaaaaaabbabbaabbbabbabaaabaaababaaabbbabbbabaaaabaaabababbabbbbaabaabababbbabbbbabaabbaabbababbabbbaaabaaabbbabbbaabaaabbabbababbbaabbbbbaabbaabaaaaabbbbabbabbbbabaaaabbbbabbbabbbbbababbbbabbbbbbaaababaaabaabbbaaabaaabbabaabaaaaabbbaaaababbbabaaaabbababbbaaaaabaababbbababbaabbaabbabbabaaabbaaabbaaaaabbabbaaaaaabbbbbabbbbbaababbabbbbabababbbaabbabbabaaabaabbbabbababaaaaaababbabaaaababbaabaaaaabbbabaababbaaabaaabbbbaabbabaabbaaaabbabbabaaabababaaabbaababbbabbbbaabababaaabbbabaabbaaaababbaabaaaaaabbbaabbbbbabaabbbaaabbbaaabaabbbabaaaabaaaabaababbabbbabaaabaaabaaabbaaaaaaaaaabbaabaabaaabbabaabbbbabbababaaabbabbaaaabaaabbbaabbabaababbbabaaabbbaaaabbbbaaaaaabaabbabbabaabbbbabbabaabababbbabababaaabbabbababbababaaaabaababbaabaabbbbababbaaaaabbabbaaabaaaabaaaabaabbbababbaaaabbbabaabbbbaabbbbabaaabbabbbaaaaaaababaaababbbbbaaaababbaabaababaaabbaaaabaabbaabbbabaabbbbabaababbabaaababababaabaabbabababbbaabbabbabaabababaaababababbbaabbaababaabbbaabbbbbbbabbbaaabbabbbaabbbbbbbbaabaaaaaabbbabbbaaaaabaababbbaaabbabaaabaaababbbbbaabaaaabbabbabaaaababaababaaaabaaabbbaaabbbbbaaabbabaabbbabbaabaaababbaaaaaababbabbbaabbbaabbbaabababbbbbbaaabaabbbbbbbabbaaabbabbabaaababbabbabbbbabbbabaababbbbbbaaaaaaaaaabababbaaaabaaaabbabbababbabbaaabbbbbbaaaaabbabaabbbaaabaabbbababbabababbbaaabaabbaaaaaaaabbaabbaaaabbabbbbabaaaaababbbbbabbaabababbbbabbabbbaabbbbaabbbaaabbbbbbbaabbbababbbabaaabababbbabaababaababbaabbbabbababbbbabbabbbbbabbaaaababbaababaababaaaaabbbabbbbabaaaaaabaabaaabaaaabaabaaaabbbaabaabbaabaabbaabababaababbaabaaabaabbabababbbababbabbbabaaaabababaaaabbbaaabaaaabbbaaaaaaaabbabbabbaabbbabaaaaabaaaabbbabbbababbabbababaaabbbaaaaaabbabbabbbaabbbababaabbaabbaababaaaabbabbbbbaabaaababbbbbabbaabbbabbbbbbababbabbbbbaaaabbababbbabaabaabbabaabbbabaaaabaaabbabbbabaaababaabbabababbbbbabababbbbbbaabbbbabaabababbabbbaaabbabbaabbbbbbbaabbbabaabbbbbbbabbaabbbabababaabaabbbbabbbabbbbaaabbbbbbbabababaaabbaaabbbaaabbbbaababbaaaaaabababababaabbbbbaaaaaabaabaabbaaaabababbabbabbaaababbbabaaaabaaaaababbaababaabbabbbaaabaaaabaabaabbababbbbabbabbabbbbaaaaaabbbaababbbbaaaabbaabbabbaaaaaaaaaabbaaabbbbaaaababaaaaaaaabbbbbaabbbaaaababaaabaaaaababababbbbaabbaabaaaaaaaababbaaaaabaabbaaabbaaabbbbbabbabbababbbaabbabbbbbbaaaabbbbabbbbbaaaababaaabbaaaaaaabaaababababaaabbbaababbbbaababbbaabbabbbabaaabaaaaabbbaabbababaabbbbaaabbbaabaaabaaaaaaabbbbabababbbbbbbbbaabaaaababaaaaaabbababbaababababbaabaababaaabbaabbbbbbabbbbaabbbababbbbbbbabababbabbabbabababbaaaabaabaabbbbaaaaaabbbabaabaaaabaaaababbaaabaabaaabbbbaabbabbbaabbbbbaabbbaaabbaaababaabbaaabbabaabaabaabbbababbabbaabbbbbababbbbbabaaabbaababbbaaabbababbaaabaabbaabbbbbbababbbbaaabababbbbbbbbaabbabbbbababbbaabbbaaaabaabaabbaaaaaabaaababaaaaabbbaababbaaabaaaaaabaabbaabbabbbbaababbabababaababaaaaaaaabbbbbbbbbbbbabaabbbbabababaabababbbaaababbbbbbbabaabbbbaaabaaabaabbaababababbabbbabbabbaaabaabaaaabbbbbaaabbabaabaabaaabbbaabbaaaababaabbbbbabbbabaabaabbbbabbbaabbbabababbbaaabaaaabaaaaabababbaaaaaabbabbbaaaaabbaabababbabbaababbaaabbbaaaaababbaabaaabbbabbbbbbabbaababababaaaaaaababbbbabbbbbabaabaaaaabbbababbabaababbbababbaabaabbbabaaaabbbbaabaaabaabbabbaaaaabbabbbbababbbaabaabbabbbbaabbabbaaaaabababbbababbaabbbaaaabbaababaaababbbaababbbbabbaabbbbbbabbaabbbbaabbbbbaaaababbaabbbbbabbbbabbbaaaaababbaaabbbabababbaabaaaababbabbbaababaaaaabaaaababaaaabaabaaaaaababaabbabbbbabbbaabababbaabbabbaabbbabbbabaabbbbbababbbababababababaabbbaaabbaabbbbaabbaaaabaababaabaababbaaababbbaaabaabbaabaabaabaababbabbbabbababbbaaaaabaabbbababbbaababbbbaaabaaaababbbbaababaabbbabbbaabbabaaaaabbbbaabbbbbaabaaaabbbbababbbaaaabaaabbabbabaaabbaaaabbbbbbbaaaabbabaababbbaabbabbaabbabbaabbaaaaabaabaaabbabaaaababaaaaababbaababbabaaababaababbaaaaabaabbaaababaabababbabababbbabbabbaabbbaabaabbbabbabaaabbbbbbbababbabbabaabbbabbbbaababaaababbabbbaaabbbaabbbabbabbababbbababbbaabbabbbbabaababaabbababaabaaaaaabbbaabaaaaabaaabababaabbbbbaaaabbaababaaabbbbabaabaababaabbbaaaabbaaabbaabbaaaabbbbaabaaababbaabbbaaabaaaaabaabaabbabbabababbbabababbababbaaababbbbbbaabbbbabbabbbaaaaabaaaaabbbbbaabbabbbbbbbaaabaabaaabbbbaaaaaaaabaababbbababaababaabbaaababbbabbaababbbabbabbaabababbabaababbbaababbbbbbabababbbbbaabbaaabbaabbaabaabbbbabaaababbbbaaaabaaaabaaaaababaababbbbabbabbaaaabaaabbaabababbaaaabaaabbabaababbbabababbbabbabbbbbaaaabaaaababbbbbaabbabababbbbabaababaaaaaaabaaaababbbbbbabbbaabbbbbbbabaabbbaaababaaababbbbbbbaabbababbaabbabbabbbaabaaabbabbbaaabbabbbbaababbbbaabaaaaaabbbabaaabbbaabaabbababbbaabbbbaabbabbbbbaabbbabbaaababaaaaaaaaabbbbababbbbaaaababbbbbbbabbabbabbbbbbaaabaaaababbbbabaaabbbbabbabaaaaaaabbaababbbabbbaabaabbaaaabbbabbbaaaabaaabaabbbaabbabbbabbbbbaaaaabbabaaaaaaaababbbaaababbbabbbbaaabbbbaabbbabaaaabbbaaaaabaaabbbabbbababbbbabababbbbaaabababbaaabbbbaaabbaaabaabaaabbbabbbbbabaabbbbaabbbbabbbaabaaabbbaaaabbbaaabaabaaabababbbbbbabababaabbaaabaaabbabbaaabbabbbaaabbbaabaabaabaabbbbabbaabbaaabbaaabaaabbbaabbbbabbbbbaababbabaabbbbbbaaabbbbbabbaabaaaabbaabbbbbbabbababbabaabaabbbaaaaaabbbaaabbabbaabababbaaaaaaaaaaababaabaababbbaabbaabbaaabaaaabbbbaaaaaabbaabbbbaaabbabaaaabaaabbabbaaaaaababbbabbabbaaabbbaababaaaabbbabaaaaabaaaaabaabaaaabbaabbbbaaabbabaaabbbbbbba