We have a convex polygon with $M$ vertices, and $N$ points inside the polygon. Let $X$ be the set of these $M+N$ points. We know that there aren't $3$ collinear points in $X$. We want to divide the polygon into triangles that have their vertices in $X$ and such that their sides intersect only in the vertices. What is the maximum number of triangles we can obtain?
2026-03-28 11:29:46.1774697386
Maximum number of triangles that can be formed with a given set of vertex points
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Hints:
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