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;

public class Main{
  public static void main(String[] args){
    Scanner sc=new Scanner(System.in);
    int ans=0;
    int n=sc.nextInt();
    int[] s;
    s=new int[n];
    for(int i=0;i<n;i++){
      s[i]=sc.nextInt();
    }
    int q=sc.nextInt();
    for(int i=0;i<q;i++){
      int t=sc.nextInt();
      int lo=0;
      int hi=n-1;
      while(lo<=hi){
        int mid=(lo+hi)/2;
        if(t==s[mid]){
          ans++;
          break;
        }else if(t>s[mid]){
          lo=mid+1;
        }else{
          hi=mid-1;
        }
      }
    }
    System.out.println(ans);
  }
}

