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 i,j,k,l;
        int[] give = new int [n];
        for(i=0;i<n;i++){
            give[i] = sc.nextInt();
        }
        int m = sc.nextInt();
        int[] num = new int [m];
        for(j=0;j<m;j++){
            num[j] = sc.nextInt();
        }
        int cnt=0;
        for(k=0;k<m;k++){
            for(l=0;l<n;l++){
                if(num[k]==give[l]){
                    cnt++;
                    break;
                }
            }       
        }
        System.out.println(cnt);
    }
}

