Problem of the Day #41

POTD January 15, 2024
Author: qgek

Let there be players 1, 2, 3, 4, 5, and 6 that are playing a game. The game goes as follows, the group starts with a 9\times67 grid, the players take turns dividing the grid along either any vertical or horizontal grid line. The winner is the player that does the last possible division. If player 1 goes first, player 2 goes second etc., which number player will win?