Školjka IMO Shortlist 1986 problem 9
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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 
parallel to one of the coordinate axes the difference (in absolute value) between the numbers of white and red points on is not greater than 
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parallel to one of the coordinate axes the difference (in absolute value) between the numbers of white and red points on is not greater than ? Izvor: Međunarodna matematička olimpijada, shortlist 1986