Alice and Bob are playing a game of Removal on an \(n\times m\) board. Some cells have a chip each on them and some don't. Both players move alternately. Each move consists of removing all chips from a non-empty row or column. The last player who removes all the chips wins.
Here is the configuration of the \(3\times 5\) board. Alice will play first. Assuming that both of them play optimally, who will win the game?