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Omni-MATH / Is it possible to cover a 13×13 chessboard with forty-two pieces of dimensions 4×1 such that only the central square of the chessboard remains uncovered?

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problem

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?
Plain-text mathematical notation (without MathML)
Is it possible to cover a 13×13 chessboard with forty-two pieces of dimensions 4×1 such that only the central square of the chessboard remains uncovered?
Original LaTeX notation
Is it possible to cover a $13\times 13$ chessboard with forty-two pieces of dimensions $4\times 1$ such that only the central square of the chessboard remains uncovered?

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