Player 1 and player 2 play a game which consists of a rectangular grid with 3 rows and 20 columns.
During each players turn they can colour a square in the grid (either a 1 x 1, 2 x 2 or a 3 x 3 square) a coloured square can not be recoloured. The person who no longer is able to colour a square loses.
The question that follows is that if player 1 makes the first move, which of the players has a winning strategy. In other words, which of the players has a strategy that will have them win 100% of the times.
What I have noticed and which seems quite obvious is that the player who places the last 2x2 square wins, but i don't know what to do with that information and where to take it from there.