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You have an 8 by 8 chess board that has two corner squares diagonal from each other removed. Is there any ..........

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You have an 8 by 8 chess board that has two corner squares diagonal from each other removed.
Is there any way to place 31 dominoes of size 2x1 to cover the remaining 62 spaces?

posted Sep 3, 2014 by Yogeshwar Thakur

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144 = 12^2
1444 = 38^2
Are there any other numbers 144..44 (starting with 144 and ending in 44) that are perfect squares?

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