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Covering a 13 x 13 chessboard without central square

Source: Baltic Way 1998

January 11, 2011
combinatorics proposedcombinatorics

Problem Statement

Is it possible to cover a 13×1313\times 13 chessboard with forty-two pieces of dimensions 4×14\times 1 such that only the central square of the chessboard remains uncovered?
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