Y by megarnie, deduck
Let
and
be positive integers. Let
be the set of integer points
with
and
. A configuration of
rectangles is called happy if each point in
is a vertex of exactly one rectangle, and all rectangles have sides parallel to the coordinate axes. Prove that the number of happy configurations is odd.
Proposed by Serena An and Claire Zhang








Proposed by Serena An and Claire Zhang
This post has been edited 1 time. Last edited by KevinYang2.71, Mar 20, 2024, 4:42 PM