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 {
private static Scanner s;

public static void main(String[] args) {
	s = new Scanner(System.in);
	int a = s.nextInt();
	int[] b = new int[a];
	for(int i = 0;i < a;i++) {
		b[i] = s.nextInt();
	}

	int c = s.nextInt();
	int[] d = new int[c];
	for(int i = 0;i < c;i++) {
		d[i] = s.nextInt();
	}
	int count = 0;

	for(int i = 0;i < c;i++) {
	int l = 0,r = a,m;
	while(l < r) {
		m = (l+r)/2;
		if(d[i] == b[m]) {
			count++;
			break;
		}else if(d[i] < b[m]) {
			r = m;
		}else {
			l = m + 1;
		}
	}
	}
	System.out.println(count);
}
}

