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 {
	public static int search(int[] a,int key,int n){
		int left = 0;
		int right = n;
		int mid = 0;
		while(left<right){
			mid = (left + right)/2;
			if(a[mid]==key)
				return 1;
			else if(key<a[mid])
				right = mid;
			else
				left = mid +1;
		}
		return 0;
	}
	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		int result=0;
		int n = scan.nextInt();
		int[] S = new int[n+1];
		for(int i = 0 ; i < n ; i ++){
			S[i]=scan.nextInt();
		}
		int q = scan.nextInt();
		int[] T = new int[q];
		for(int i = 0 ; i < q ; i ++){
			T[i]=scan.nextInt();
		}
		for(int i = 0; i < q ; i ++){
			result += search(S,T[i],n);	
		}
		System.out.println(result);
		scan.close();
	}

}