Alice vs Bob Faceoff

Alice and Bob have got an integer $N$. They decide to play a game. Alice and Bob make alternating moves: Alice makes the first move, Bob makes the second move, Alice makes the third one, and so on. The game continues until $N$ becomes $0$. The player who is unable to make a move loses. During each turn a player can make one of the following moves: 1. Choose an integer $X$ such that $X$ can be ex