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MathNet 1984 — Part 01 Question 22

Math Olympiad Vault · MathNet 1984 — Part 01

Question 22

Take a large number of unit squares, each with one edge red, one edge blue, one edge green, and one edge yellow. For which $m$, $n$ can we combine $mn$ squares by placing similarly colored edges together to get an $m \times n$ rectangle with one side entirely red, another entirely blue, another entirely green, and the fourth entirely yellow.