You are given a sequence of n integers S and a sequence of different q integers T. Write a program which outputs C, the number of integers in T which are also in the set S.

Notes

Constraints

* Elements in S is sorted in ascending order
* n ≤ 100000
* q ≤ 50000
* 0 ≤ an element in S ≤ 109
* 0 ≤ an element in T ≤ 109

Input

In the first line n is given. In the second line, n integers are given. In the third line q is given. Then, in the fourth line, q integers are given.

Output

Print C in a line.

Examples

Input

5
1 2 3 4 5
3
3 4 1


Output

3


Input

3
1 2 3
1
5


Output

0


Input

5
1 1 2 2 3
2
1 2


Output

2
import java.util.Scanner;
public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int n = sc.nextInt();
    int S[] = new int[n];
    for(int i = 0; i < n; i++){
      S[i] = sc.nextInt();
    }
    int q = sc.nextInt();
    int T[] = new int[q];
    for(int i = 0; i < q; i++){
      T[i] = sc.nextInt();
    }

    int ans = 0;

    for(int i = 0; i < q; i++){
      int left = -1;
      int right = n -1;

      while(right - left > 1){
        int mid = (left + right)/2;
        
        if(S[mid] >= T[i]) right = mid;
        else left = mid;
      }
      
      if(S[right] == T[i]) ans++;
    }

    System.out.println(ans);

    sc.close();
  }
}
