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Suppose you have a checkerboard, and a set of dominoes. Each domino is twice the area of a square of the checkerboard. Clearly, you could cover the entire checkerboard with thirty-two dominoes. But here's the question: Suppose you chopped off two opposite corners of the checkerboard. Can you now completely cover the remainder of the board using thirty-one dominoes?
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two opposite corners??
|dw:1333442646689:dw|
no. you cant
u cant
arthur-engel prob
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opposite corners are of the same color...
as the chopped squares r of same color, there will b 32-30 left
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