The prison of your city has n prisoners. As the prison can't accommodate all of them, the city mayor has decided to transfer c of the prisoners to a prison located in another city.

For this reason, he made the n prisoners to stand in a line, with a number written on their chests. The number is the severity of the crime he/she has committed. The greater the number, the more severe his/her crime was.

Then, the mayor told you to choose the c prisoners, who will be transferred to the other prison. He also imposed two conditions. They are,

  * The chosen c prisoners has to form a contiguous segment of prisoners. 
  * Any of the chosen prisoner's crime level should not be greater then t. Because, that will make the prisoner a severe criminal and the mayor doesn't want to take the risk of his running away during the transfer. 



Find the number of ways you can choose the c prisoners.

Input

The first line of input will contain three space separated integers n (1 ≤ n ≤ 2·105), t (0 ≤ t ≤ 109) and c (1 ≤ c ≤ n). The next line will contain n space separated integers, the ith integer is the severity ith prisoner's crime. The value of crime severities will be non-negative and will not exceed 109. 

Output

Print a single integer — the number of ways you can choose the c prisoners.

Examples

Input

4 3 3
2 3 1 1


Output

2


Input

1 1 1
2


Output

0


Input

11 4 2
2 2 0 7 3 2 2 4 9 1 4


Output

6
# python3
import sys, threading, os.path
import string
import collections, heapq, math, bisect

sys.setrecursionlimit(10 ** 6)
threading.stack_size(2 ** 27)


def main():
    if os.path.exists('in.txt'):
        input = open('in.txt', 'r')
    else:
        input = sys.stdin
    # --------------------------------INPUT---------------------------------
    n, t, c = list(map(int, input.readline().split()))
    lis = list(map(int, input.readline().split()))

    segment, count = 0, 0

    for i in range(len(lis)):
        if lis[i] > t:
            segment = 0
        elif lis[i] <= t and segment < c:
            segment += 1
        if segment == c and lis[i] <= t:
            count += 1

    output = count
    # -------------------------------OUTPUT----------------------------------
    if os.path.exists('out.txt'):
        open('out.txt', 'w').writelines(str(output))
    else:
        sys.stdout.write(str(output))


if __name__ == '__main__':
    main()
# threading.Thread(target=main).start()
