Description

Input

The first line contains a single integer $t$ ($1 \le t \le 2000$) — the number of test cases.

The first line of the test case contains a single integer $n$ ($3 \le n \le 50$) — the number of elements in the permutation.

The second line of the test case contains $n$ distinct integers from $1$ to $n$ — the given permutation $a$.

Output

For each test case, output a single integer — the minimum number of operations described above to sort the array $a$ in ascending order.

3
4
1 3 2 4
3
1 2 3
5
2 1 4 5 3

1
0
2

Note

In the explanations, $a[i, j]$ defines the subarray of $a$ that starts from the $i$-th element and ends with the $j$-th element.

In the first test case of the example, you can select the subarray $a[2, 3]$ and swap the elements in it.

In the second test case of the example, the permutation is already sorted, so you don't need to apply any operations.

In the third test case of the example, you can select the subarray $a[3, 5]$ and reorder the elements in it so $a$ becomes $[2, 1, 3, 4, 5]$, and then select the subarray $a[1, 2]$ and swap the elements in it, so $a$ becomes $[1, 2, 3, 4, 5]$.