olymmath

IMO 1986 Problem 6

  • Day 2

Given a finite set of points in the plane, each with integer coordinates, is it always possible to color the points red or white so that for any straight line LL parallel to one of the coordinate axes the difference (in absolute value) between the numbers of white and red points on LL is not greater than 11 ?

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1986 official English paper, page 2.

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