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 JavaScript (Node.js 12.16.1) (judge verdict: Wrong Answer)

"use strict";

const main = arg => {
    const input = arg.trim().split("\n");

    const N = Number(input[0].split(" ")[0]);
    const M = Number(input[0].split(" ")[1]);
    const A = input[1].split(" ").map(n => Number(n));
    const total = A.reduce((acc, curr) => acc+curr)
    const thresh = total / (4*M)
    A.sort().reverse()
    for(let i = 0; i<M; i++){
        if(A[i] < thresh){
            console.log("No")
            return
        }
    }
    console.log("Yes")
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));