You will be given an array A of non negative integers. You can perform a swap operation on any two adjacent elements in the array. Find the minimum number of swaps needed to sort the array in increasing order.
The first line of input contains a single integer T denoting the number of test cases.
Then T test cases follow. The first line of each test case consists of a positive integer N denoting the size of the array. The second line of each test case consists of N space separated integers denoting the values in the array A.
Corresponding to each test case, in a new line, print the minimum number of swaps needed to sort the array in increasing order.
1 ≤ T ≤ 100
1 ≤ N ≤ 1000
0 ≤ A[i] ≤ 100000
4 1 2 3
4 4 2 3
1) (4,1,2,3) --> (1,4,2,3) --> (1,2,4,3) --> (1,2,3,4). Hence we need a total of 3 swaps to sort it in increasing order.
2) (4,4,2,3) --> (4,2,4,3) -->(4,2,3,4) --> (2,4,3,4) --> (2,3,4,4,). Hence we need a total of 4 swap to sort it in increasing order.
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