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 boolean binarySearch(int[] a, int x){
    int left = 0;
    int right = a.length;

    while(left < right){
      int k = (left + right) / 2;
      int w = a[k];
      if(w == x)
        return true;
      else if(x > w)
        left = k + 1;
      else
        right = k;
    }

    return false;
  }

  public static void main(String[] arsg){
    Scanner stdIn = new Scanner(System.in);
    int n = stdIn.nextInt();
    int[] a = new int[n];

    for(int i = 0; i < n; i++)
      a[i] = stdIn.nextInt();

    int q = stdIn.nextInt();
    int count = 0;
    for(int i = 0; i < q; i++){
      int x = stdIn.nextInt();
      if(binarySearch(a, x))
        count++;
    }


    System.out.println(count);
  }
}