Let
be a set of
points in the plane
whose coordinates are integers such that any three points from
are vertices of a nondegenerate triangle whose centroid doesnt have both coordinates integers. Determine the maximal
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Let $E$ be a set of $n$ points in the plane $(n \geq 3)$ whose coordinates are integers such that any three points from $E$ are vertices of a nondegenerate triangle whose centroid doesnt have both coordinates integers. Determine the maximal $n.$
Školjka