Two players, 1 and 2, take turns choosing numbers; 1 goes first. On his turn, a player may choose any number between 1 and 10, inclusive, and this number is added to a running total. When the running total of both players' choices reaches 100, the game ends. The player whose choice of number takes the total to exactly 100 is the winner.

(i) Who wins the game when solving using backwards induction?

(ii) Provide (not necessarily formal), description of the winner's moves that conform with back-

ward induction.