You are to cut out some pieces of paper.

You must be able to place your pieces of paper on an 8x8 checkerboard so that they exactly cover the checkerboard, minus _any_ one square.

That is, once your pieces are cut, if I identify to you _any_ of the squares on the checkerboard, you must be able to arrange all your pieces of paper (flat, not folded) on the checkerboard so that:

a) the pieces of paper don't overlap
b) the pieces of paper don't cover any area outside the checkerboard
c) the pieces of paper cover all of the checkerboard except the square I chose

The problem: figure out how to do this with three pieces of paper.

For example, it is easy to see how to do this with 63 pieces of paper -- use 63 1x1 squares of paper. Or, 32 pieces --- use a 4x8 piece and 31 1x1 pieces...