God's Blessing on This PermutationForces!

A Random Pebble

You are given a permutation $$$p_1,p_2,\ldots,p_n$$$ of length $$$n$$$ and a positive integer $$$k \le n$$$.

In one operation you can choose two indices $$$i$$$ and $$$j$$$ ($$$1 \le i \lt j \le n$$$) and swap $$$p_i$$$ with $$$p_j$$$.

Find the minimum number of operations needed to make the sum $$$p_1 + p_2 + \ldots + p_k$$$ as small as possible.

A permutation is an array consisting of $$$n$$$ distinct integers from $$$1$$$ to $$$n$$$ in arbitrary order. For example, $$$[2,3,1,5,4]$$$ is a permutation, but $$$[1,2,2]$$$ is not a permutation ($$$2$$$ appears twice in the array) and $$$[1,3,4]$$$ is also not a permutation ($$$n=3$$$ but there is $$$4$$$ in the array).

Input

Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 100$$$). Description of the test cases follows.

The first line of each test case contains two integers $$$n$$$ and $$$k$$$ ($$$1 \le k \le n \le 100$$$).

The second line of each test case contains $$$n$$$ integers $$$p_1,p_2,\ldots,p_n$$$ ($$$1 \le p_i \le n$$$). It is guaranteed that the given numbers form a permutation of length $$$n$$$.

Output

For each test case print one integer — the minimum number of operations needed to make the sum $$$p_1 + p_2 + \ldots + p_k$$$ as small as possible.

Note

In the first test case, the value of $$$p_1 + p_2 + \ldots + p_k$$$ is initially equal to $$$2$$$, but the smallest possible value is $$$1$$$. You can achieve it by swapping $$$p_1$$$ with $$$p_3$$$, resulting in the permutation $$$[1, 3, 2]$$$.

In the second test case, the sum is already as small as possible, so the answer is $$$0$$$.

Wonderful Permutation

Examples