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Consider a 5x5 chessboard. Prove that no matter how the 25 cells are colored in red...

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Advance Math

Consider a 5x5 chessboard. Prove that no matter how the 25 cellsare colored in red and blue (each cell is either red or blue),there exist 4 cells of the same color whose centers determine arectangle with sides parallel to the sides of the board. Is thestatement true for a 4x4 chessboard? What about 4x6 chessboard?

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