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 {
	int n;
	int s[];
	int q;
	int t[];
	public static void main(String args[]) {
		new Main().run();
	}
	Main() {
		Scanner scan = new Scanner(System.in);
		n = scan.nextInt();
		s = new int[n];
		for (int i = 0; i < n; i++) {
			s[i] = scan.nextInt();
		}
		q = scan.nextInt();
		t = new int[n];
		for (int i = 0; i < q; i++) {
			t[i] = scan.nextInt();
		}
		scan.close();
	}
	public void run() {
		int cnt = 0;
		for (int j = 0; j < q; j++) {
			int left = 0;
			int right = n;
			while (left < right) {
				int mid = (left + right) / 2;
				if (s[mid] == t[j]) {
					cnt++;
					break;
				}
				if (s[mid] <= t[j]) {
					left = mid + 1;
				} else {
					right = mid;
				}
			}
		}
		System.out.println(cnt);
	}
}

