codeforces#P1712A. Wonderful Permutation

Wonderful Permutation

Description

God's Blessing on This PermutationForces!
A Random Pebble

You are given a permutation p1,p2,,pnp_1,p_2,\ldots,p_n of length nn and a positive integer knk \le n.

In one operation you can choose two indices ii and jj (1i<jn1 \le i < j \le n) and swap pip_i with pjp_j.

Find the minimum number of operations needed to make the sum p1+p2++pkp_1 + p_2 + \ldots + p_k as small as possible.

A permutation is an array consisting of nn distinct integers from 11 to nn in arbitrary order. For example, [2,3,1,5,4][2,3,1,5,4] is a permutation, but [1,2,2][1,2,2] is not a permutation (22 appears twice in the array) and [1,3,4][1,3,4] is also not a permutation (n=3n=3 but there is 44 in the array).

Each test contains multiple test cases. The first line contains the number of test cases tt (1t1001 \le t \le 100). Description of the test cases follows.

The first line of each test case contains two integers nn and kk (1kn1001 \le k \le n \le 100).

The second line of each test case contains nn integers p1,p2,,pnp_1,p_2,\ldots,p_n (1pin1 \le p_i \le n). It is guaranteed that the given numbers form a permutation of length nn.

For each test case print one integer — the minimum number of operations needed to make the sum p1+p2++pkp_1 + p_2 + \ldots + p_k as small as possible.

Input

Each test contains multiple test cases. The first line contains the number of test cases tt (1t1001 \le t \le 100). Description of the test cases follows.

The first line of each test case contains two integers nn and kk (1kn1001 \le k \le n \le 100).

The second line of each test case contains nn integers p1,p2,,pnp_1,p_2,\ldots,p_n (1pin1 \le p_i \le n). It is guaranteed that the given numbers form a permutation of length nn.

Output

For each test case print one integer — the minimum number of operations needed to make the sum p1+p2++pkp_1 + p_2 + \ldots + p_k as small as possible.

Samples

输入数据 1

<div class="test-example-line test-example-line-even test-example-line-0">4</div><div class="test-example-line test-example-line-odd test-example-line-1">3 1</div><div class="test-example-line test-example-line-odd test-example-line-1">2 3 1</div><div class="test-example-line test-example-line-even test-example-line-2">3 3</div><div class="test-example-line test-example-line-even test-example-line-2">1 2 3</div><div class="test-example-line test-example-line-odd test-example-line-3">4 2</div><div class="test-example-line test-example-line-odd test-example-line-3">3 4 1 2</div><div class="test-example-line test-example-line-even test-example-line-4">1 1</div><div class="test-example-line test-example-line-even test-example-line-4">1</div><div class="test-example-line test-example-line-even test-example-line-4"></div>

输出数据 1

1
0
2
0

Note

In the first test case, the value of p1+p2++pkp_1 + p_2 + \ldots + p_k is initially equal to 22, but the smallest possible value is 11. You can achieve it by swapping p1p_1 with p3p_3, resulting in the permutation [1,3,2][1, 3, 2].

In the second test case, the sum is already as small as possible, so the answer is 00.