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.Arrays;
import java.util.Scanner;

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 q = sc.nextInt();
		int[] t = new int[q];
    	for (int i = 0; i < q; i++) {
    		t[i] = sc.nextInt();
    	}

    	Arrays.sort(s);
    	Arrays.sort(t);
    	
    	int count = 0;
    	for (int i = 0, key = 0; i < n && key < q;) {
    		if (s[i] < t[key]) {
    			i++;
    		} else if (s[i] == t[key]) {
    			count++;
    			i++;
    			key++;
//    			System.out.println(s[i]);
    		} else {
    			key++;
    		}
    	}
		
    	System.out.println(count);

    	sc.close();
	}
}