Problem:
Score : 200 points

Problem Statement

We have held a popularity poll for N items on sale. Item i received A_i votes.

From these N items, we will select M as popular items. However, we cannot select an item with less than \dfrac{1}{4M} of the total number of votes.

If M popular items can be selected, print Yes; otherwise, print No.

Constraints

1 \leq M \leq N \leq 100

1 \leq A_i \leq 1000

A_i are distinct.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N M
A_1 ... A_N

Output

If M popular items can be selected, print Yes; otherwise, print No.

Sample Input 1

4 1
5 4 2 1

Sample Output 1

Yes

There were 12 votes in total. The most popular item received 5 votes, and we can select it.

Sample Input 2

3 2
380 19 1

Sample Output 2

No

There were 400 votes in total. The second and third most popular items received less than \dfrac{1}{4\times 2} of the total number of votes, so we cannot select them. Thus, we cannot select two popular items.

Sample Input 3

12 3
4 56 78 901 2 345 67 890 123 45 6 789

Sample Output 3

Yes

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

/**
 * Author RDP
 * 
**/
#include <iostream>
#include <sstream>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <cctype>
#include <string>
#include <vector>
#include <list>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <queue>
#include <stack>
#include <algorithm>
#include <functional>
#include <bitset>
#define endl '\n'
#define bp(x) __builtin_popcount(x)
#define zf(x) __builtin_clz(x)
#define zl(x) __builtin_ctz(x)
#define par(x) __bultin_parity(x)
#define FAST_IO ios::sync_with_stdio(0); std::cin.tie(0);
typedef long long ll;
using namespace std;

void test_case()
{
    FAST_IO
    int n, m;
    cin >> n >> m;
    vector <int> num(n);
    ll votes = 0;
    for(int &x : num)
    {    cin >> x;
        votes += x;
    }
    int cnt = 0;
    float thres = 0.25 *  ( float(votes) / m );
    for(int x : num)
    {
        if( float(x) >=  thres)
            cnt ++;
    }
    if(cnt >= m)
        cout <<"Yes"<<endl;
    else 
        cout <<"No" <<endl;
    return ;
}
int main()
{
    FAST_IO
    test_case();
    return 0;
}