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 Pascal (FPC 3.0.4) (judge verdict: Accepted)

program main;
var
  N, M, i, total, count : integer;
  A : array[1..100] of integer;
begin
  readln(N, M);
  for i := 1 to N do
    read(A[i]);

  // calculate total
  total := 0;
  for i := 1 to N do
    total := total + A[i];

  // count number of enough votes
  count := 0;
  for i := 1 to N do
    if A[i] >= total / (4 * M) then
      count := count + 1;

  if count >= M then
    writeln('Yes')
  else
    writeln('No');
end.