Count of sum of consecutives

You are given a positive integer 'N.' Your task is to find the number of ways to represent the given number 'N' as the sum of two or more consecutive natural numbers.

Input Format:
The first line contains an integer, ‘T,’ which denotes the number of test cases or queries to be run. Then, the 'T' test cases follow.

The first and the only line of each test case contains one integer 'N', as described in the problem statement.
Output Format:
For each test case, return one integer denoting the number of ways to represent the given number 'N' as the sum of 2 or more consecutive natural numbers.
Note:
You do not need to print anything. It has already been taken care of. Just implement the given function.
Constraints:
1 <= T <= 100
1 <= N <= 10^8

Time Limit: 1 sec
CodingNinjas
author
2y
Brute Force Approach

Approach:

In this brute force approach,. We will iterate from 1 to ‘N’ using the iterator i and will check if there is a possible sequence of consecutive positive integers such tha...read more

CodingNinjas
author
2y
Efficient Approach

Approach:

  • In this approach, we will try to represent ‘N’ as the sum of ‘M+1’ consecutive natural numbers.
  • Therefore ‘N’ can be written as :
    • ‘N’ = a + (a + 1) + (a+2) + (a+3) + … + (a +...read more
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