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;
	static int tt;
	static int ans;
	
	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[] t = new int[q];
		for (int i = 0; i < q; i++) {
			t[i] = sc.nextInt();
		}
		
		ans = 0;
		for (int i = 0; i < q; i++) {
			tt = t[i];
			binarySearch(0, n - 1);
		}
		System.out.println(ans);
	}
	
	private static void binarySearch(int startIndex, int endIndex) {
		int index = (startIndex + endIndex) / 2;
		if (s[index] == tt) {
			ans++;
			return;
		} else if (startIndex == endIndex) {
			return;
		} else if (s[index] > tt) {
			binarySearch(startIndex, index);
		} else if (s[index] < tt) {
			binarySearch(index + 1, endIndex);
		}
	}
}