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.

**Input: **

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**.** **

**Output:**

Corresponding to each test case, in a new line, print the minimum number of swaps needed to sort the array in increasing order.

**Constraints:**

1 ≤ **T** ≤ 100

1 ≤ **N** ≤ 1000

0 ≤ **A[i]** ≤ 100000

**Example:**

**Input**

2

4

4 1 2 3

4

4 4 2 3

**Output**

3

4

**Explanation**:

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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