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MathNet 2009-part-02 — 175 problems (EN–VI) Question 81

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 81

Determine all pairs $(m, n)$ for which it is possible to tile the table $m \times n$ with "corners" as in the figure below, with the condition that in the tiling there is no rectangle (except for the $m \times n$ one) regularly covered with corners.

Question illustration