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.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.io.IOException;
import java.util.Scanner;
import java.util.List;
import java.util.ArrayList;
 
public class Main {
    public static void main(String[] args) throws IOException {
         
        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();
         
        int cnt = 0;
        for(int p : t)
            if(Arrays.binarySearch(s, p) >= 0) ++cnt;
        
        System.out.println(cnt);
    }
}
