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.Arrays;
import java.util.Scanner;

public class Main {
	int n, q;
	int[] s, t;
	void run() {
		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[q];
		for (int i = 0; i < q; i++)
			t[i] = scan.nextInt();
		int ans = 0;
		for (int i = 0; i < q; i++) {
			if (binarySearch(t[i]))
				ans++;
		}
		System.out.println(ans);
	}

	boolean binarySearch(int val) {
		int low = 0;
		int high = n - 1;
		while (low <= high) {
			int mid = (low + high) / 2;
			if (s[mid] == val)
				return true;
			else if (s[mid] > val)
				high = mid - 1;
			else
				low = mid + 1;
		}
		return false;
	}

	public static void main(String[] args) {
		new Main().run();
	}
}
