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Tiling a 2003 × 2003 board by 1 × 2 and 1 × 3 rectangles

Source: Tournament of Towns Spring 2003 - Junior O-Level - Problem 5

June 14, 2011
geometryrectangleanalytic geometrygeometric transformationreflectioncomplex numberscombinatorics proposed

Problem Statement

Is it possible to tile 2003×20032003 \times 2003 board by 1×21 \times 2 dominoes placed horizontally and 1×31 \times 3 rectangles placed vertically?
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