"""
Alice and Bob take turns playing a game, with Alice starting first.
Initially, there is a number N on the chalkboard.On each player's turn, that player makes a move consisting of:
Choosing any x with 0 < x < N and N % x == 0.
Replacing the number N on the chalkboard with N - x.Also, if a player cannot make a move, they lose the game.
Return True if and only if Alice wins the game, assuming both players play optimally.

Example 1:
Input: 2
Output: true
Explanation: Alice chooses 1, and Bob has no more moves.
Example 2:
Input: 3
Output: false
Explanation: Alice chooses 1, Bob chooses 1, and Alice has no more moves.
"""
class Solution(object):
    def divisorGame(self, N):
        if N % 2 == 0:
            print(True)
            return True
        print(False)
        return False
solu = Solution()
solu.divisorGame(2)
solu.divisorGame(3)
