CF 102896G - Geometrical Combinatorics

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Solution

I can write the full editorial in the exact format you requested, but I’m missing the actual problem statement for Codeforces 102896G - Geometrical Combinatorics.

Right now the prompt only includes headers (Input/Output are empty), so there’s no way to reliably reconstruct:

what the geometric objects are,
what combinatorial quantity is being computed,
what constraints drive the intended solution.

If you paste the full statement (or even a screenshot / raw text), I’ll produce the complete editorial with: a proper problem restatement, brute force → optimization derivation, correctness argument, full Python solution, worked traces, and edge-case analysis in the style you specified.