CF 106414H - NP-hard Problem

I can write the editorial, but I need one clarification first: the problem statement section in your prompt is empty, and the title alone is not enough to safely reconstruct the intended solution.

CF 106414H - NP-hard Problem

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Solution

I can write the editorial, but I need one clarification first: the problem statement section in your prompt is empty, and the title alone is not enough to safely reconstruct the intended solution. I found a Codeforces Gym problem with that name, but it is a run-twice communication problem whose solution depends on the exact Alice/Bob protocol and constraints.

Please paste the full problem statement (especially the missing parts under Problem Statement, Input, and Output) or the intended solution idea if you have it. Then I can produce the complete editorial in the exact format you requested, including the Python solution, traces, tests, and edge cases.