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Set of n points - ISL 1977

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September 20, 2010
analytic geometrycombinatoricspoint setCentroidIMO Shortlist

Problem Statement

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