[comp.theory] Square Tiling

lcai@ai.toronto.edu (Cai Leizhen) (11/18/89)

I would like to know the complexity of the following problem.

Given a M*N rectangle, find the minimum number of squares required to exactly
cover the rectangle.

Note: No restrcition on sizes of squares. You can cover it use M*N squares,
for example.

Any comments will be appreciated. I guess it may be studied already, but
I could not find any references.

Leizhen Cai
Dept. of Computer Science
Univ. of Toronto
lcai@csri.utoronto.ca