CF1712A Wonderful Permutation

Description

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 < 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 Format

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 Format

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.

Explanation/Hint

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 $ .