Statement

Amidst skyscrapers in the bustling metropolis of Metro Manila, the newest Noiph mall in the Philippines has just been completed! The construction manager, Penchick, ordered a state-of-the-art monument to be built with $n$ pillars.

The heights of the monument's pillars can be represented as an array $h$ of $n$ positive integers, where $h_i$ represents the height of the $i$ -th pillar for all $i$ between $1$ and $n$ .

Penchick wants the heights of the pillars to be in non-decreasing order, i.e. $h_i \le h_{i + 1}$ for all $i$ between $1$ and $n - 1$ . However, due to confusion, the monument was built such that the heights of the pillars are in non-increasing order instead, i.e. $h_i \ge h_{i + 1}$ for all $i$ between $1$ and $n - 1$ .

Luckily, Penchick can modify the monument and do the following operation on the pillars as many times as necessary:

• Modify the height of a pillar to any positive integer. Formally, choose an index $1\le i\le n$ and a positive integer $x$ . Then, assign $h_i := x$ .

Help Penchick determine the minimum number of operations needed to make the heights of the monument's pillars non-decreasing.

Format

Input

Each test contains multiple test cases. The first line contains the number of test cases $t$ ( $1 \le t \le 1000$ ). The description of the test cases follows.

The first line of each test case contains a single integer $n$ ( $1 \leq n \leq 50$ ) — the number of pillars.

The second line of each test case contains $n$ integers $h_1, h_2, \ldots, h_n$ ( $1 \le h_i \le n$ and $h_i\ge h_{i+1}$ ) — the height of the pillars.

Please take note that the given array $h$ is non-increasing.

Note that there are no constraints on the sum of $n$ over all test cases.

Output

For each test case, output a single integer representing the minimum number of operations needed to make the heights of the pillars non-decreasing.

Sample

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

4
1
0