lc1025. Divisor Game

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  1. Divisor Game Easy

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Share 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.

思路:倒数第二步,爱丽丝必须为2,才能赢, 是奇数的情况下,计算 N - x必为偶数,所以爱丽丝必须保证自己这边为偶数,

代码:python3 class Solution: def divisorGame(self, N: int) -> bool: return N%2==0