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2. Prove that when a white square and a black square are removed from an 88 checkerboard (colored as in the text) you can tile

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2. Prove that when a white square and a black square are removed from an 88 checkerboard (colored as in the text) you can tile the remaining squares of the checker- board using dominoes. [Hint: Show that when one black and one white square are removed, each part of the partition of the remaining cells formed by inserting the barriers shown in the figure can be covered by dominoes.]

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