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IL-GILLIS 1995 Problem 6

    A 1995×19951995 \times 1995 square board is given. A coloring of the cells of the board is called good if the cells can be rearranged so as to produce a colored square board that is symmetric with respect to the main diagonal. Find all values of kk for which any kk -coloring of the given board is good.

    Dataset text AI-MO AoPS. Quoted with source.

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