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Consecutive Numbers Sum

Given an integer n, return the number of ways you can write n as the sum of consecutive positive integers.

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 <= 10^9

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