D2 Equalizing by Division (hard version) &&D1 Equalizing by Division (easy version) (easy version)（Codeforces Round #582 (Div. 3)）

The only difference between easy and hard versions is the number of elements in the array.

You are given an array aa consisting of nn integers. In one move you can choose any aiai and divide it by 22 rounding down (in other words, in one move you can set ai:=⌊ai2⌋ai:=⌊ai2⌋).

You can perform such an operation any (possibly, zero) number of times with any aiai.

Your task is to calculate the minimum possible number of operations required to obtain at least kk equal numbers in the array.

Don't forget that it is possible to have ai=0ai=0 after some operations, thus the answer always exists.

Input

The first line of the input contains two integers nn and kk (1≤k≤n≤501≤k≤n≤50) — the number of elements in the array and the number of equal numbers required.

The second line of the input contains nn integers a1,a2,…,ana1,a2,…,an (1≤ai≤2⋅1051≤ai≤2⋅105), where aiai is the ii-th element of aa.

Output

Print one integer — the minimum possible number of operations required to obtain at least kk equal numbers in the array.

Examples

input

Copy

5 3
1 2 2 4 5

output

Copy

1

input

Copy

5 3
1 2 3 4 5

output

Copy

2

input

Copy

5 3
1 2 3 3 3

output

Copy

0

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map vector 的嵌套使用(推荐），当然二维数组也可以的。

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#include <bits/stdc++.h>
using namespace std;

#define TLE std::ios::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define add(x) push_back(x);
#define allint int n,m,k=0,t,l=0,r=0,cnt=0,ans=0,pos=0;
int main()
{
    map<int,vector<int> >mv;
    allint;TLE;
    cin>>n>>k;
    for(int i=0;i<n;i++)
    {
        cin>>m;
        pos=0;    //记录有多少个数 >>1 之后等于m
        while(m)
        {
            mv[m].add(pos);  //加入当前m值之后的数中有pos个数经过多次/2后等于此时的m
            pos++;
            m>>=1;
        }
    }
    ans = 1e9;
    for(map<int,vector<int> >::iterator it=mv.begin();it!=mv.end();it++)
    {
        vector<int>arr;        
        arr=it->second;       
        if(arr.size()<k) continue;
        sort(arr.begin(),arr.end()); 
        cnt = 0;
        for(int i=0;i<k;i++)
            cnt+=arr[i];
        ans = min( ans,cnt );
    }
    cout<<ans<<endl;
    ok;
} 

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