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 {
    static public  void  main (String[] av){
     int  b;
     int sum=0;
        Scanner sc =new Scanner(System.in);
        int n =sc.nextInt();
        int a[]= new int[n];
        int v;
        for(int  i=0;i<n;i++){
            v=sc.nextInt();
            a[i]=v;
        }
        
int n2=sc.nextInt();
for (int i=0;i<n2;i++){
    int x=sc.nextInt();
    for (int j=0;j<n;j++){
    if (a[j]==x){
        sum++;
        break;
    }
}
}
System.out.println(sum);


        }

}
