olymmath

RO-TST 1988 Problem 5

    The cells of a 11×1111\times 11 chess-board are colored in 3 colors. Prove that there exists on the board a m×nm\times n rectangle such that the four cells interior to the rectangle and containing the four vertices of the rectangle have the same color.

    Ioan Tomescu

    Dataset text AI-MO AoPS. Quoted with source.

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