IMC 2022 Problem 5
We colour all the sides and diagonals of a regular polygon with vertices either red or blue in such a way that every vertex is an endpoint of red segments and blue segments. A triangle formed by vertices of is called monochromatic if all of its sides have the same colour. Suppose that there are blue monochromatic triangles. How many red monochromatic triangles are there?
Dataset text AI-MO AoPS. Quoted with source.
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