On Aug 21, 2008, at 6:59 PM, Robert Holmes wrote:
> ..
> Here's another (famous) problem that can be answered using a top-down
> technique rather than a bottom-up: if you have a regular 8x8 chess  
> board and
> you remove the bottom left and top right squares, how many ways can  
> you
> cover the remaining 62-squares completely using non-overlapping 2x1
> rectangles?

Wonderful!  OK, I cheated, but the solution is, as you say, elegant.   
I have to admit that I had to see what the chessboard looked like ..  
two black squares on the two corners being eliminated.

    -- Owen


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