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21 rectangles on a 8 x 8 chessboard

Source: Italy TST 1995

November 22, 2010
geometryrectanglelinear algebramatrixgeometric transformationreflectionsymmetry

Problem Statement

Twenty-one rectangles of size 3×13\times 1 are placed on an 8×88\times 8 chessboard, leaving only one free unit square. What position can the free square lie at?
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