Imagine a 24-by-24 chessboard. Now suppose you started counting all of the "sub-squares" on that board, squares of lengths 1 through 24 found by tracing the sides of the squares of the big board. To remind you how many sub-squares you've counted, you make a pile of little squares of all equal size (which you just happen to have lying around), one little square for each sub-square.

It turns out that these little squares can be put together, edge to edge, to form an even bigger chessboard.

What is the length of each side of the giant chessboard?

(In reply to Difficulty change by Gamer)

You're right, but I didn't even think about it and I was gone when it was in voting and posted. Maybe levik can do some 'posthumous' editing...

Posted by DJ on 2003-07-07 06:28:20