Given an array 'ARR'' of 'N' integers and an integer 'target', your task is to find three integers in 'ARR' such that the sum is closest to the target.

Note

In the case of two closest sums, print the smallest sum.

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 line of each test case or query contains an integer 'N' representing the size of the array.

The second line contains 'N' single space-separated integers, representing the elements in the array.

The third line contains the value of the target.

Output Format

For each test case, print the sum of triplets closest to the target.

Print the output of each test case in a new line.

Note

You do not need to print anything, it has already been taken care of. Just implement the given function.

Constraints

1 <= T <= 10 
3 <= N <= 100 
-10^5 <= Arr[i] <= 10^5
-3 * 10^5 <= target <= 3 * 10^5

where Arr[i] refers to the elements of the array.

Time Limit: 1 sec