human
Contestant who earns a score equal to or greater than the k-th place finisher's score will advance to the next round, as long as the contestant earns a positive score..." — an excerpt from contest rules.

A total of n participants took part in the contest (n ≥ k), and you already know their scores. Calculate how many participants will advance to the next round.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 50) separated by a single space.

The second line contains n space-separated integers a1, a2, ..., an (0 ≤ ai ≤ 100), where ai is the score earned by the participant who got the i-th place. The given sequence is non-increasing (that is, for all i from 1 to n - 1 the following condition is fulfilled: ai ≥ ai + 1).

Output

Output the number of participants who advance to the next round.

Examples

Input

8 5
10 9 8 7 7 7 5 5

Output

6

Input

4 2
0 0 0 0

Output

0

Note

In the first example the participant on the 5th place earned 7 points. As the participant on the 6th place also earned 7 points, there are 6 advancers.

In the second example nobody got a positive score.
The above is tricky. Write me a correct solution in PYTHON3.

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Can you provide a code to contestant who earns a score equal to or greater than the k-th place finisher's score will advance to the next round, as long as the contestant earns a positive score?
assistant
#Here is code to contestant who earns a score equal to or greater than the k-th place finisher's score will advance to the next round, as long as the contestant earns a positive score.

import math
import sys

def main():
    while True:
        try:
            def resort(winners, losers, position):
                if len(winners) == 0 or len(losers) == 0:
                    return
                if winners[position-1] == losers[0]:
                    winners.append(losers[0])
                    losers = losers[1:]
                    resort(winners, losers, position)

            pretendents, position = map(int, input().split(' '))
            ratings = map(int, input().split(' '))
            ratings = list(ratings)
            winners = ratings[:position]
            losers = ratings[position:]
            resort(winners, losers, position)
            winners = list(filter(lambda x: x > 0, winners))
            print(len(winners))
        except Exception:
            sys.exit(0)

if __name__ == "__main__":
    main()