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: Wrong Answer)

fun main() {
    val ints = rspint()
    val ints2 = rspint()
    val n = (ints2.sum() + 3) / (ints[1] * 4)
    printYN(ints2.filter { it >= n }.size > ints[1])
}

fun rl() = readLine()!!
fun rsp() = readLine()!!.split(" ")
fun rint() = readLine()!!.toInt()
fun rspint() = readLine()!!.split(" ").map { it.toInt() }
fun printYN(isYes: Boolean) = println(if (isYes) "Yes" else "No")

fun main(args: Array<String>) = main()