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input.txt
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abaaaaacccccccccccccccccccccccccccccccccccccccaaaaaaaccccaaaaaaaaaaaaaaaaacccccaaaaaacccccccccccccccccccccccaaaaaaaaccccccccccccccccccccccccccccccccaaaaaa
abaaaaaacccaaaacccccccccccccccccccccccaccccccccaaaaaaaaccaaaaaaaaaaaaaaaaccccccaaaaaacccccccccccccccccccccccccaaaaccccccccccccccccccccccccccccccccccaaaaaa
abaaaaaacccaaaacccccccccccccccccaaaaaaaacccccccaaaaaaaaacaaaaaaaaaaaaacccccccccaaaaacccccccccccccccccccccccccaaaaacccccccccccccccccccaaaccccccccccccaaaaaa
abaaacaccccaaaaccccccccccccccccccaaaaaacccccccccaaaaaaaccccaaaaaaaaaaacccccccccaaaaacccccccccccccccccccccccccaacaaaccccccccccccccccccaaacccccccccccccccaaa
abaaacccccccaaacccccccccccaacccccaaaaaaccccccccaaaaaaccccccaacaaaaaaaacccccccccccccccccccccccaaccccccccccccccacccaaaaacccccccccaaccccaaacccccccccccccccaaa
abccccccccccccccccccccccccaaaaccaaaaaaaacccccccaaaaaaaccccccccaaaaaaaaaccccccccccaacccccccccaaaccccccccccccccccccacaaacccccccccaaaaccaaacccccccccccccccaac
abccccccccccccccccccccccaaaaaacaaaaaaaaaaccccccaaccaaaaacccccaaaaccaaaaccccccccccaaacaacccccaaacaaacccaaccccccccaaaaaaaacccccccaaaaakkkkkkcccccccccccccccc
abccccccccccccccccccccccaaaaaccaaaaaaaaaacccccccccccaaaaaaccccacccaaaaaccccccccccaaaaaaccaaaaaaaaaaaaaaaccccccccaaaaaaaaccccccccaaajkkkkkkkaccccccaacccccc
abcccccccccccccccccccccccaaaaacacacaaaccccccccccccccaaaaaaccccccccaaaacccccccccaaaaaaacccaaaaaaaaaaaaaaaaaccccccccaaaaaccccccccccjjjkkkkkkkkccaaaaaacccccc
abcccccccccccccccccccccccaacaacccccaaacccaccccccccccaaaaaaccccccccaaaacccccccccaaaaaaacccccaaaaaacaaaaaaaacccccccaaaaacccccccjjjjjjjooopppkkkcaaaaaaaccccc
abcccccccccccccccccaacaacccccccccccaaaaaaacccccccccccaaaaacccccccccccccccccccccccaaaaaaccccaaaaaaccaaaaaaacccccccaaaaaacciijjjjjjjjoooopppkkkcaaaaaaaacccc
abccccccccccaaaccccaaaaacccccccccccccaaaaacccccccccccaaaaccccccccccccccccccccccccaacaaaccccaaaaaaacaaaaacccccccccaccaaaciiiijjjjjjoooopppppkllcaaaaaaacccc
abccaaccccccaaaaacaaaaacccccccccccccaaaaaacccccccccccccccccccccccccccccccccccccccaacccccccaaaacaaaaaaaaacccaaccccaaaaaciiiiinoooooooouuuupplllaaaaaacccccc
abcaaacccccaaaaaacaaaaaacccccccccccaaaaaaaaccccccccaacaccccccccccccccccccccccccccccccccccccaccccccccccaaccaaaccccaaaaaciiinnnooooooouuuuuppplllaaacacccccc
abaaaaaacccaaaaaacccaaaacccccccccccaaaaaaaaccccccccaaaaccccccccccccccccccccccccccccccccccccccccccccccccaaaaacaacaaaaaaiiinnnnntttoouuuuuupppllllcccccccccc
abaaaaaaccccaaaaacccaaccccccccccacccccaaccccccccccaaaaaccccccccccccccccccccccccccccccccccccccccccccccccaaaaaaaacaaaaaaiiinnnnttttuuuuxxuuupppllllccccccccc
abaaaaacccccaacaaccccccccccccccaaaccccaacccccaacccaaaaaacccccccccccccccccccccccccccccccccccccccccccccccccaaaaaccaaaaaaiiinnnttttxxuuxxyyuuppppllllcccccccc
abaaaacccccccccccccccccccccaaacaaaccccccaaacaaaaccacaaaacccccccccccccccccccccccccccccccccccaacccccccccccaaaaaccccaaaccciinnntttxxxxxxxyyvvvqqqqqlllccccccc
abaaaaaccccccccccccccccccccaaaaaaaaaacccaaaaaaacccccaaccccccccccccccccccccccccccccccccccccaaacccccccccccaacaaaccccccccciiinntttxxxxxxxyyvvvvvqqqqljjcccccc
abccaaaccaccccccccaaacccccccaaaaaaaaaccccaaaaaacccccccccccccccccccccccccccccccaacccccccaaaaacaaccccccccccccaacccccccccchhinnnttxxxxxxyyyyyvvvvqqqjjjcccccc
SbccccaaaacccccccaaaaaacccccccaaaaaccccccaaaaaaaaccccccccccccccccccccaaccccccaaaaccccccaaaaaaaacccccccccccccccccccccccchhhnnntttxxxxEzyyyyyvvvqqqjjjcccccc
abccccaaaacccccccaaaaaaccccccaaaaaacccccaaaaaaaaaacccccccccccccccccccaaccccccaaaaccccccccaaaaacccccccccccccccccccccccccchhhnntttxxxyyyyyyyvvvvqqqjjjcccccc
abcccaaaaaaccccccaaaaaacccccaaaaaaaccccaaaaaaaaaacccccccccccccccccaaaaaaaacccaaaacccccccaaaaaccccccccccccccccccccccccccchhmmmttxxxyyyyyyvvvvvqqqjjjdcccccc
abcccaaaaaacccccccaaaaacccccaaacaaacaaaaaaaaaaccccccccccccaaacccccaaaaaaaaccccccccccccccaacaaacccccccaacaaacccccccccccchhhmmmtswwwyyyyyyvvvqqqqjjjjdddcccc
abcccccaacccccccccaacaacccccccccccacaaaaaccaaaccccccccccaaaaacccccccaaaacccccccccccccccccccaaccccccccaaaaaacccccccccccchhhmmssswwwwwwyyywvrqqqjjjjdddccccc
abcccccccccccccccccccccccccccccccccaaaaaccccaaccccccccacaaaaaacccccaaaaacccccccccccccccccccccccccccccaaaaaacccccccccccchhhmmssswwwwwwywywwrrqjjjjddddccccc
abcccccccccccccccccccccccccccccccccaaaaaccccccccaaacaaacaaaaaacccccaaaaaaccccccccccccccccccccccccccccaaaaaaaccccccccccchhmmmsssswwsswwwwwwrrkkjjddddcccccc
abccccccccccccccccccccccccccccccccccaaaaacccccccaaaaaaacaaaaaccccccaaccaacccccccccccaaccccccccccccccaaaaaaaacaacaaccccchhhmmmsssssssswwwwrrrkkjddddaaccccc
abcccccccccccccccccccccccccaaaaaccccaacccccccccccaaaaaacaaaaacccccccccccccaacccccccaaaaaacccccccccccaaaaaaaacaaaaaccccchhgmmmmssssssrrwwwrrrkkddddaaaccccc
abcccccccccccccccccccccccccaaaaacccccccccccccccccaaaaaaaacccccccccccccccaaaaaaccccccaaaaaccccaaccccccccaaacccaaaaaaccccgggmmmmmmllllrrrrrrrkkkeedaaaaccccc
abcccccccccccaaccccccccccccaaaaaacccccccccccccccaaaaaaaaacccccccccccccccaaaaaaccccaaaaaaacccaaaacccccccaaccccaaaaaaccccggggmmmmllllllrrrrrkkkkeedaaaaacccc
abcccccccccccaaacaacaaaccccaaaaaaccccccccccccccaaaaaaaaaacccccccccccccccaaaaaaccccaaaaaaaaccaaaacccccccccccccaaaaaccccccgggggglllllllllrrkkkkeeeaaaaaacccc
abcccccccccccaaaaaacaaaacccaaaaaaccccccccccccccaaacaaaaaaccccccccccccccccaaaaaccccaaaaaaaaccaaaacccccccccccaaccaaaccccccgggggggggffflllkkkkkkeeeaaaaaacccc
abaccccccccaaaaaaaccaaaacccccaaacccccccccccccccccccaaaaaacaccccccccaaccccaaaacccccccaaacacccccccccccccccaaaaaccccccccccccccgggggffffflllkkkkeeeccaaacccccc
abaccccccccaaaaaaaccaaacccccccccccccccccaaaccccccccaaacaaaaaccccccaaacccccccccccccaaaacccccccccccccccccccaaaaaccccccccccccccccccaffffffkkkeeeeeccaaccccccc
abaaaccccccccaaaaaaccccccccccccccccccccaaaaaacccccccaaaaaaaacaaaacaaacccccccccaaaaaacccccccccccccccccccccaaaaaccccccccccccccccccccaffffffeeeeecccccccccccc
abaacccccccccaacaaaccccccccccccccccccccaaaaaaccccccccaaaaaccaaaaaaaaacccccccccaaaaaaaaccccccccccaaccccccaaaaacccccccccccccccccccccaaaffffeeeecccccccccccaa
abaacccccccccaaccccccccccccccccaaccccccaaaaacaaccaacccaaaaacaaaaaaaaacccccccccaaaaaaaaccccccaaacaacccccccccaacccccccccccccccccccccaaaccceaecccccccccccccaa
abaacccccccccccccccccccccccccccaaaaaacccaaaaaaaaaaaccaaacaaccaaaaaaaaaaaaacccccaaaaaaacccccccaaaaaccccccccccccccccccccccccccccccccaaacccccccccccccccaaacaa
abcccccccccccccccccccccccccccccaaaaaccccaacaacaaaaacccaaccccccaaaaaaaaaaaacccccaaaaacccccccccaaaaaaaccccccccccccccccccccccccccccccaaacccccccccccccccaaaaaa
abcccccccccccccccccccccccccccaaaaaaaccccccccaaaaaaaaccccccccccaaaaaaaaaaccccccaaaaaaccccccccaaaaaaaaccccccccccccccccccccccccccccccccccccccccccccccccaaaaaa