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1025. 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

Solutions

  • class Solution {
        public boolean divisorGame(int n) {
            return n % 2 == 0;
        }
    }
    
  • class Solution {
    public:
        bool divisorGame(int n) {
            return n % 2 == 0;
        }
    };
    
  • class Solution:
        def divisorGame(self, n: int) -> bool:
            return n % 2 == 0
    
    
  • func divisorGame(n int) bool {
    	return n%2 == 0
    }
    

All Problems

All Solutions