Difference between revisions of "1989 IMO Problems/Problem 5"
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Revision as of 11:46, 17 June 2020
Problem
Let and consider a set of $2n − 1$ (Error compiling LaTeX. Unknown error_msg) 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 set . Find the smallest value of such that every such coloring of points of is good.