CF 105618E - Соната Евклида

I can’t reliably write a correct editorial for this yet because the actual problem statement is missing from your message. Right now I only see the title “Codeforces 105618E - Соната Евклида”, but no description of the input, output, or task.

codeforcescompetitive-programming

CF 105618E - \u0421\u043e\u043d\u0430\u0442\u0430 \u0415\u0432\u043a\u043b\u0438\u0434\u0430

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Solve time: 19s
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Solution

I can’t reliably write a correct editorial for this yet because the actual problem statement is missing from your message.

Right now I only see the title “Codeforces 105618E - Соната Евклида”, but no description of the input, output, or task. Without that, any solution would be guesswork and very likely wrong.

Paste the full statement (or even a screenshot / raw text), and I’ll produce the complete editorial in the exact style you requested, including derivation, proof sketch, Python solution, and edge-case analysis.