5

Part of 2017 NZMOC Camp Selection Problems

Problems(1)

exactly 225 rectangles with odd sides in m x n grid

Source: New Zealand NZMOC Camp Selection Problems 2017 p5

(m, n)

of positive integers such that the

m \times n

grid contains exactly

225

rectangles whose side lengths are odd and whose edges lie on the lines of the grid.

rectanglecombinatoricscombinatorial geometry