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
import java.util.*;
import java.io.*;

public class B{
	public static void main(String[] args) throws IOException{
		Reader in = new Reader(System.in);
    PrintWriter out = new PrintWriter(System.out);

    //solve
    int n = in.nextInt();
    int t = in.nextInt();
    int c = in.nextInt();
    int last = -1;
    int res = 0;
    for(int i=0; i<n; ++i){
      int x = in.nextInt();
      if(x > t){
        if(i-1-last >= c){
          res += (i-1-last-c + 1);
        }
        last = i;
      }
    }
    if(n-1-last >= c){
      res += (n-1-last-c + 1);
    }
    out.println(res);

		out.close();
	}
}

class Reader {
   	BufferedReader reader;
   	StringTokenizer tokenizer;

    /** call this method to initialize reader for InputStream */
   	public Reader(InputStream input) {
        reader = new BufferedReader(
                     new InputStreamReader(input) );
        tokenizer = new StringTokenizer("");
    }

    /** get next word */
   	String next() throws IOException {
        while ( ! tokenizer.hasMoreTokens() ) {
            //TODO add check for eof if necessary
            tokenizer = new StringTokenizer(
                   reader.readLine() );
        }
        return tokenizer.nextToken();
    }

   	int nextInt() throws IOException {
        return Integer.parseInt( next() );
    }
	
   	double nextDouble() throws IOException {
        return Double.parseDouble( next() );
    }
}