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 c = 0;

        for (int j = 0; j < q; j++) {
            for (int i = 0; i < n; i++) {
                if (S[i] == T[j]) {
                    c++;
                    break;
                }
            }
        }

        System.out.println(c);

        sc.close();
    }

}

