Farmer John is trying to describe his favorite USACO contest to Elsie, but she
is having trouble understanding why he likes it so much. He says "My favorite
part of the contest was when Bessie said 'It's Mooin' Time' and mooed all over
the contest."

Elsie still doesn't understand so Farmer John downloads the contest as a text
file and tries to explain what he means. The contest is defined as a string of
lowercase letters of length \(N\) (\(3 \leq N \leq 20\,000\)). A moo is generally
defined as the substring \(c_ic_jc_j\) where some character \(c_i\) followed
directly by \(2\) occurrences of some character \(c_j\) where \(c_i \neq c_j\).
According to Farmer John, Bessie moos a lot, so if some moo appears at least \(F\)
(\(1\le F\le N\)) times in the contest, that might be from Bessie.

However, Farmer John's download might have been corrupted, and the text file
might have up to one character that differs from the original file. Print all
possible moos that Bessie could have made taking the potential error into
account, sorted in alphabetical order.

Problem credits: Suhas Nagar

SCORING

• Inputs 4-8: \(N \le 100\)
• Inputs 9-13: No additional constraints.

Problem credits: Suhas Nagar

The first line contains \(N\) and \(F\), representing the length of the string and
the frequency threshold for a moo by Bessie.

The second line contains a string of lowercase letters of length \(N\),
representing the contest.

Print out the number of possible moos that Bessie makes, followed by a
lexicographically sorted list of the moos. Each moo should appear on a separate
line.

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