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Poland 1

Source: IMO LongList 1959-1966 Problem 4

September 7, 2004
geometrycombinatorial geometrycombinatoricsIMO ShortlistIMO Longlist

Problem Statement

Given 55 points in the plane, no three of them being collinear. Show that among these 55 points, we can always find 44 points forming a convex quadrilateral.