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;
import java.util.Set;
import java.util.TreeSet;


public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		int n = sc.nextInt();
		Set<Integer> T = new TreeSet<Integer>();
		
		for(int i=0;i<n;i++){
			T.add(sc.nextInt());
		}
		int p = sc.nextInt();
		int cnt=0;
		for(int i=0;i<p;i++){
			int t= sc.nextInt();
			if(T.contains(t)){
				cnt++;
			}
		}
		System.out.println(cnt);
		
	}
}