# 0829. Consecutive Numbers Sum

https://leetcode.com/problems/consecutive-numbers-sum

## Description

Given an integer `n`, return _the number of ways you can write_ `n` _as the sum of consecutive positive integers._

**Example 1:**

```
**Input:** n = 5
**Output:** 2
**Explanation:** 5 = 2 + 3
```

**Example 2:**

```
**Input:** n = 9
**Output:** 3
**Explanation:** 9 = 4 + 5 = 2 + 3 + 4
```

**Example 3:**

```
**Input:** n = 15
**Output:** 4
**Explanation:** 15 = 8 + 7 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5
```

**Constraints:**

* `1 <= n <= 109`

## ac

```java
```
