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 Kotlin (1.0.0) (judge verdict: Accepted)

fun main(args: Array<String>) {
    val pw = java.io.PrintWriter(System.out)
    Problem.solve(java.util.Scanner(System.`in`), pw)
    pw.flush()
}

object Problem {
    fun solve(sc: java.util.Scanner, pw: java.io.PrintWriter) {
        val N = sc.next().toInt()
        val M = sc.next().toInt()
        val A = Array(N) { sc.next().toInt() }.sorted().reversed()
        val total = A.sum()

        if (A[M - 1] * 4 * M >= total) {
            pw.println("Yes")
        } else {
            pw.println("No")
        }
    }
}