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 {
    static int[] s;

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        s = new int[n];
        for (int i = 0; i < n; i++) {
            s[i] = sc.nextInt();
        }
        int q = sc.nextInt();
        int c = 0;
        for (int i = 0; i < q; i++) {
            int t = sc.nextInt();
            if (binarySearchContains(t)) {
                c++;
            }
        }
        System.out.println(c);
    }

    public static boolean binarySearchContains(int v) {
        int l = 0; // left
        int r = s.length - 1; // right
        while (l <= r) {
            int m = (r + l) / 2;
            if (s[m] == v) {
                return true;
            }
            if (s[m] > v) {
                r = m - 1;
            } else {
                l = m + 1;
            }
        }
        return false;
    }
}