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.*;
public class Main {

	public static void main(String[] args) {
		Scanner cin=new Scanner(System.in);
		
		int n=cin.nextInt(),T[]=new int[n];
		
		for(int i=0;i<n;i++)T[i]=Integer.parseInt(cin.next());
		
		int q=cin.nextInt(),res=0;
		for(int i=0;i<q;i++) {
			int t=Integer.parseInt(cin.next()),s=0,m=(T.length-1)/2,g=T.length;
			while(g-s>=1) {
				if(T[m]==t) {
					res++;
					break;
				}
				if(T[m]>t) {
					g=m;
					m=(s+g)/2;
				}
				else if(T[m]<t) {
					s=m+1;
					m=(s+g)/2;
				}
			}
		}
		System.out.println(res);
	}

}

