this is the problem of chance strategy and choice

20.3 Consider the following variation on Northcott's Game. The game is played in two stages. In the first stage, the players alternate placing the checkers in the columns beginning with the leftmost and proceeding to the rightmost. Players must place their checkers on one of the four squares closest to their side of the board. Once the checkers have been placed in all eight columns in this column-by-column fashion. Player 1 begins the resulting version of Northcott's Game. Determine the winning player and winning strategy for this variation on Northcott's game