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Sum of Divisors in an array
       

Given an array of natural numbers count the sum of its proper divisors for every element in the array.

Input:
The first line of the input contains an integer T which denotes the number of test cases to follow. Each test case contains the number of elements in the array a[] as n and next line contains space separated n elements in the array.

Output:
Print an array of n integers ith of which represents the sum of divisors of the ith number in the array.

Constraints:
1<=T<=100
1<=n<=100
1<=a[i]<=1000‚Äč

Example:
Input:

1
7
8 13 24 36 59 75 87

Output:

7 1 36 55 1 49 33

**For More Examples Use Expected Output**


Contributor: Shashwat Jain

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