There are two players. Players move sequentially starting with player 1, followed by player 2, followed by player 1 again etc. Each time that a player moves, she can choose a number from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The first player who brings the sum of all chosen numbers to a total that is weakly larger 100 wins the game. Who wins the game in subgame perfect equilibrium? Explain.