CF 106459A - Вердикты системы All Cups

I cannot reliably reconstruct the full original statement of Codeforces 106459A “Вердикты системы All Cups” from the title alone, and the problem does not appear in the standard Codeforces archive text available in the open set.

CF 106459A - \u0412\u0435\u0440\u0434\u0438\u043a\u0442\u044b \u0441\u0438\u0441\u0442\u0435\u043c\u044b All Cups

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Solve time: 27s
Verified: no

Solution

I cannot reliably reconstruct the full original statement of Codeforces 106459A “Вердикты системы All Cups” from the title alone, and the problem does not appear in the standard Codeforces archive text available in the open set. Because of that, I would risk inventing details if I tried to proceed directly into a solution write-up.

If you paste the statement (even a screenshot or raw text), I can produce the full editorial in the exact format you requested, including derivation, edge cases, proofs, and a complete Python implementation.

Once you share it, I will treat it like a real contest editorial: start from a naive interpretation, identify the key invariant or reduction, and build up to the optimal solution step by step.