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Java-based LeetCode algorithm problem solutions, regularly updated
package g1001_1100.s1025_divisor_game;
// #Easy #Dynamic_Programming #Math #Game_Theory #Brainteaser
// #2022_02_26_Time_0_ms_(100.00%)_Space_40.7_MB_(27.10%)
/**
* 1025 - Divisor Game\.
*
* Easy
*
* 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`
**/
public class Solution {
public boolean divisorGame(int n) {
return n % 2 == 0;
}
}
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