# [1025. Divisor Game](https://leetcode.com/problems/divisor-game)

[中文文档](/solution/1000-1099/1025.Divisor%20Game/README.md)

## Description

<p>Alice and Bob take turns playing a game, with Alice starting first.</p>

<p>Initially, there is a number <code>n</code> on the chalkboard. On each player&#39;s turn, that player makes a move consisting of:</p>

<ul>
	<li>Choosing any <code>x</code> with <code>0 &lt; x &lt; n</code> and <code>n % x == 0</code>.</li>
	<li>Replacing the number <code>n</code> on the chalkboard with <code>n - x</code>.</li>
</ul>

<p>Also, if a player cannot make a move, they lose the game.</p>

<p>Return <code>true</code> <em>if and only if Alice wins the game, assuming both players play optimally</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> n = 2
<strong>Output:</strong> true
<strong>Explanation:</strong> Alice chooses 1, and Bob has no more moves.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> n = 3
<strong>Output:</strong> false
<strong>Explanation:</strong> Alice chooses 1, Bob chooses 1, and Alice has no more moves.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= n &lt;= 1000</code></li>
</ul>

## Solutions

<!-- tabs:start -->

### **Python3**

```python
class Solution:
    def divisorGame(self, n: int) -> bool:
        return n % 2 == 0
```

### **Java**

```java
class Solution {
    public boolean divisorGame(int n) {
        return n % 2 == 0;
    }
}
```

### **C++**

```cpp
class Solution {
public:
    bool divisorGame(int n) {
        return n % 2 == 0;
    }
};
```

### **Go**

```go
func divisorGame(n int) bool {
	return n%2 == 0
}
```

### **...**

```

```

<!-- tabs:end -->