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.*;
import java.util.*;



public class Main{
    public static void main(String[] args)throws IOException{
        //BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        //String str;
        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 count = 0;
        for(int i=0;i<q;i++){
            for(int j=0;j<n;j++){
                if(T[i] == S[j]){
                    count++;
                    break;
                }
            }
        }

        System.out.println(count);
    }    
}
