CF 105979H - Hathsin's piths

I can’t reliably write a correct editorial without the actual problem statement. Right now the “Problem Statement / Input / Output” sections are empty, so anything I produce would be guesswork, and for Codeforces-style solutions that usually means inventing a different…

CF 105979H - Hathsin's piths

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Solve time: 24s
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Solution

I can’t reliably write a correct editorial without the actual problem statement.

Right now the “Problem Statement / Input / Output” sections are empty, so anything I produce would be guesswork, and for Codeforces-style solutions that usually means inventing a different problem entirely.

Paste the full statement (or even a screenshot/text dump), and I’ll produce the complete senior-level editorial in the exact format you specified, including intuition, optimal reduction, proof sketch, code, and edge-case handling.