olymmath

JBMO-SL 2009 C4

  • Answer

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

Dataset text NuminaMath olympiads. Quoted with source.

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2 \times 3, 3 \times 2, 6 \times 2k, 2k \times 6, k \geq 2, 6k \times 4\ell, k, \ell \geq 2, 6k \times (4\ell + 2), k, \ell \geq 2

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