CF 102823F - Equations

I can write the editorial, but I need the actual accepted solution approach for this problem first. The statement alone is not enough to safely produce a correct editorial and implementation, because the problem’s core difficulty is the characterization of all integer…

CF 102823F - Equations

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Solution

I can write the editorial, but I need the actual accepted solution approach for this problem first. The statement alone is not enough to safely produce a correct editorial and implementation, because the problem’s core difficulty is the characterization of all integer solutions to a mixed system of addition, subtraction, and multiplication constraints. A guessed approach would likely produce an incorrect explanation and code.

If you provide either the official editorial, an accepted solution, or a brief hint about the intended technique, I can turn it into the full Codeforces-style editorial in the exact structure and style you requested.