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A scratched chessboard (Posted on 2002-04-30) Difficulty: 3 of 5
A standard 8 x 8 wooden chessboard has a straight line scratch in its surface, and is taken in for repair. The artisan who it is brought to decides to cover each affected square with a thin wooden veneer of the appropriate color.

Assuming that a different veneer is needed for each square of the board, what is the maximum number of such veneers that the artisan will require to do the job?

See The Solution Submitted by levik    
Rating: 3.1000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
but | Comment 22 of 25 |
If you assume the scratch can have width to it, what is the limit of the width? Since it's not stated in the problem, I say the scratch is horizontal through the middle of the board, and a little more than 6 squares wide. Therefore, you will have to replace all 64 squares (and use 64 veneers).
  Posted by DJ on 2003-06-22 15:51:25
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