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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
with0 < x < n
andn % x == 0
. - Replacing the number
n
on the chalkboard withn - 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 }
-
var divisorGame = function (n) { return n % 2 === 0; };