How many squares can be drawn on a checkers board, given that these squares should consist of whole black-white squares (the ones that are already painted on the board)?

There are (9-n)^2 squares you can form, where n is the number of squares. It's really (8-n+1)^2, the +1 is because it is inclusive of the starting point. So n goes from 1 to 8, there are 64+49+36+25+16+9+4+2+1= 204.

Posted by Lawrence on 2003-08-30 14:01:53