Problem

Source: 2013 Saudi Arabia BMO TST I p7

Tags: Coloring, combinatorial geometry, combinatorics, Chessboard



Ayman wants to color the cells of a $50 \times 50$ chessboard into black and white so that each $2 \times 3$ or $3 \times 2$ rectangle contains an even number of white cells. Determine the number of ways Ayman can color the chessboard.