Monk is very busy with a problem and he has to leave for the celebration of Holika Dahan. He asks you to help him with the problem so that he can enjoy with his friends.

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Let us define the division function F(n) as:

If Decimal part of n is >=0.5 we take ceil of n else we take floor of n.

Eg. F(4.51)=5, F(4.49)=4.

Given an array A of size N . Compute the all pair division function.

ans=0;
For(i=0;i<N;i++) 
{ 
    For(j=0;j<N;j++) 
    { 
         ans=ans+F(A[i]/A[j]) 
    } 
} 
return ans;

Input Format

First line contains an integer T denoting the number of test cases.

Each test case contains two lines:

First line contains an integer N.
Next line contains N space separated integers denoting array A.

Output Format:

For each test case, print the value returned from all pair division function.

Input Constraints:

\(1 \le T \le 10 \)

\(1 \le N \le 10^5 \)

\(1 \le A[i] \le 10^5 \)