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;

class Main{
    public static void main(String[] args){

	int n, q;
	int c = 0;

	Scanner sc = new Scanner(System.in);
      
        n = sc.nextInt();

	int[] s = new int[n];

        for(int i = 0; i < n; i++){
	    s[i] = sc.nextInt();
	}

	q = sc.nextInt();

	for(int i = 0; i < q; i++){
	    int t = sc.nextInt(); 	
	    int pos = -1;
	    int lower = 0; 
	    int upper = n - 1;
	    while (lower <= upper) {
		int mid = (lower + upper) / 2;
		if (s[mid] == t) {
		    pos = mid;
		    c++;
		    break;
		} else if (s[mid] < t) {
		    lower = mid + 1;
		} else {
		    upper = mid - 1;
		}
	    }
	}

	System.out.println(c);
    }
}

