OIM 2009 Problem 6
Six thousand points are marked on a circle, and they are colored using 10 colors in such a way that within every group of 100 consecutive points all the colors are used. Determine the least positive integer with the following property: In every coloring satisfying the condition above, it is possible to find a group of consecutive points in which all the colors are used.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
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