829. Consecutive Numbers Sum

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

Description

Given a positive integer N, how many ways can we write it as a sum of consecutive positive integers?

Example 1:
Input: 5
Output: 2
Explanation: 5 = 5 = 2 + 3

Example 2:
Input: 9
Output: 3
Explanation: 9 = 9 = 4 + 5 = 2 + 3 + 4

Example 3:
Input: 15
Output: 4
Explanation: 15 = 15 = 8 + 7 = 4 + 5 + 6 = 1 + 2 + 3 + 4 + 5

Note: 1 <= N <= 10 ^ 9.

Solution

class Solution(object):
    def consecutiveNumbersSum(self, N):
        """
        :type N: int
        :rtype: int
        """
        ret = 1
        value = 2
        while True:
            if value%2:
                if N//value-value//2<1: break
                if N%value==0:
                    ret += 1
            else:
                if N//value-value//2+1<1: break
                if N%(N//value*2+1)==0:
                    ret += 1
            value += 1
        return ret