Today is 31 July 2014, the 212th day of the year.
 

 

 



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An oldie but a goodie: Suppose we have a chess board, and a quantity of dominoes of just the right size so that each will cover two squares of the board. Then we could cover all 64 squares of the board with 32 dominoes.




Today's challenge: Suppose we now clip off the two white squares at the corners. Can we still cover the board with dominoes, this time using 31? If yes, show how it can be done. If not, show why it cannot be done.

HINT


Solution to yesterday's challenge



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