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IMO LongList 1985 BRA2 - Convex Set

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September 10, 2010
geometryLaTeXgeometry unsolved

Problem Statement

Let KK be a convex set in the xyxy-plane, symmetric with respect to the origin and having area greater than 44 . Prove that there exists a point (m,n)≠(0,0)(m, n) \neq (0, 0) in KK such that mm and nn are integers.
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