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 tx = new Scanner(System.in);

        int a, b,c, cont = 0;

        a = tx.nextInt();
        int arre[] = new int[a];
        for (int i = 0; i < a; i++) {
            arre[i]=tx.nextInt();
        }
        b = tx.nextInt();
        for (int i = 0; i < b; i++) {
            c=tx.nextInt();
            for (int j = 0; j < a; j++) {
                if (c==arre[j]) {
                    cont++;
                    break;
                    
                }
            }
        }
        System.out.println(cont);

    }

}
