Difference between revisions of "1990 IMO Problems/Problem 2"
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Revision as of 05:45, 5 July 2016
2. Let and consider a set of distinct points on a circle. Suppose that exactly of these points are to be colored black. Such a coloring is “good” if there is at least one pair of black points such that the interior of one of the arcs between them contains exactly points from . Find the smallest value of so that every such coloring of points of is good.