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Socialists Republic Of Czechoslovakia 1

Source: IMO LongList 1959-1966 Problem 1

September 1, 2004
combinatorial geometrygeometrycircleIMO Longlist

Problem Statement

Given n>3n>3 points in the plane such that no three of the points are collinear. Does there exist a circle passing through (at least) 33 of the given points and not containing any other of the nn points in its interior ?
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