1025. Divisor Game

https://leetcode.com/problems/divisor-game

Description

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:** n = 2
**Output:** true
**Explanation:** Alice chooses 1, and Bob has no more moves.

Example 2:

**Input:** n = 3
**Output:** false
**Explanation:** Alice chooses 1, Bob chooses 1, and Alice has no more moves.

Constraints:

• 1 <= n <= 1000

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