CF 106501F - Auchenai's Letter Game

I can write the full editorial, but I need the actual problem statement for Codeforces 106501F first. I could not reliably identify “Auchenai's Letter Game” from the problem ID and title alone, and the statement fields in your prompt are empty.

CF 106501F - Auchenai's Letter Game

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Solve time: 27s
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Solution

I can write the full editorial, but I need the actual problem statement for Codeforces 106501F first.

I could not reliably identify “Auchenai's Letter Game” from the problem ID and title alone, and the statement fields in your prompt are empty. Without the rules, input format, constraints, and required output, any algorithm, proof, complexity analysis, code, or test cases would be guesswork and could easily describe the wrong problem.

Please paste the full problem statement (including examples), and I’ll produce the complete editorial in the requested format with the Python solution and tests.