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.*;
import java.io.*;
import java.lang.*;

public class Main {
    static final int INF = 1000000000;     
    
    public static void main(String[] args) throws Exception {                
        Scanner input = new Scanner(System.in);
        int n, q;
        n = input.nextInt();
        ArrayList<Integer> s = new ArrayList<Integer>();
        for (int i = 0; i < n; ++i) {
            int x = input.nextInt();
            if (s.size() > 0 && x == s.get(s.size() - 1)) continue;
            s.add(x);
        }
        q = input.nextInt();
        ArrayList<Integer> t = new ArrayList<Integer>();
        for (int i = 0; i < q; ++i) {
            int x = input.nextInt();
            t.add(x);
        }
        s.retainAll(t);
        System.out.println(s.size());
    }                
}