human
PYTHON3 solution for "You are given an array a of n integers, and another integer k such that 2k ≤ n.

You have to perform exactly k operations with this array. In one operation, you have to choose two elements of the array (let them be a_i and a_j.
they can be equal or different, but their positions in the array must not be the same), remove them from the array, and add ⌊ (a_i)/(a_j) ⌋ to your score, where ⌊ x/y ⌋ is the maximum integer not exceeding x/y.

Initially, your score is 0. After you perform exactly k operations, you add all the remaining elements of the array to the score.

Calculate the minimum possible score you can get.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 500) — the number of test cases.

Each test case consists of two lines. The first line contains two integers n and k (1 ≤ n ≤ 100.
0 ≤ k ≤ ⌊ n/2 ⌋).

The second line contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 2 ⋅ 10^5).

Output

Print one integer — the minimum possible score you can get.

Example

Input

5
7 3
1 1 1 2 1 3 1
5 1
5 5 5 5 5
4 2
1 3 3 7
2 0
4 2
9 2
1 10 10 1 10 2 7 10 3

Output

2
16
0
6
16

Note

Let's consider the example test.

In the first test case, one way to obtain a score of 2 is the following one:

  1. choose a_7 = 1 and a_4 = 2 for the operation.
the score becomes 0 + ⌊ 1/2 ⌋ = 0, the array becomes [1, 1, 1, 1, 3].

  2. choose a_1 = 1 and a_5 = 3 for the operation.
the score becomes 0 + ⌊ 1/3 ⌋ = 0, the array becomes [1, 1, 1].

  3. choose a_1 = 1 and a_2 = 1 for the operation.
the score becomes 0 + ⌊ 1/1 ⌋ = 1, the array becomes [1].

  4. add the remaining element 1 to the score, so the resulting score is 2. 


In the second test case, no matter which operations you choose, the resulting score is 16.

In the third test case, one way to obtain a score of 0 is the following one:

  1. choose a_1 = 1 and a_2 = 3 for the operation.
the score becomes 0 + ⌊ 1/3 ⌋ = 0, the array becomes [3, 7].

  2. choose a_1 = 3 and a_2 = 7 for the operation.
the score becomes 0 + ⌊ 3/7 ⌋ = 0, the array becomes...":



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What is a Python code to print one integer — the minimum possible score you can get?
assistant
#Here is Python code to print one integer — the minimum possible score you can get.
 def sol():
    n, k = map(int, input().split())
    a = list(map(int, input().split()))
    a.sort()
    ans2 = 0
    c = n - 1
    for i in range(k):
        ans2 += a[c - 1] // a[c]
        c -= 2
    s = sum(a[:n - 2 * k])
    l = n-2*k
    r = n-1
    ans = 0
    p = {}
    for i in range(l, r+1):
        if a[i] not in p.keys():
            p[a[i]]=1
        else:
            p[a[i]]+=1
    f = 0
    for i, v in p.items():
        f = max(f, v)
    print(s + max(2*f-2*k, 0)//2)

for _ in range(int(input())):
    sol()