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 sc = new Scanner(System.in);
		int n = sc.nextInt();
		int[] s = new int[n];
		for(int i=0; i<n; i++){
			s[i] = sc.nextInt();
		}
		int p = sc.nextInt();
		int ans = 0;
		for(int i=0; i<p; i++){
			int q = sc.nextInt();
			int upp = n - 1;
			int low = 0;
			int mid = (upp + low) / 2;
			while(low<=upp){
				if(s[mid]==q){
					ans++;
					break;
				}
				else if(s[mid]<q){
					low = mid + 1;
					mid = (low + upp) / 2;
				}
				else{
					upp = mid - 1;
					mid = (low + upp) / 2;
				}
			}
		}
		System.out.println(ans);
	}
}
