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
#include <iostream>
using namespace std;
int main(){


  int n,a[100000],m,b,result=0,i,j;

  cin>>n;
  for(i=0;i<n;i++) cin>>a[i];
  cin>>m;
  for(i=0;i<m;i++){
    cin>>b;
    for(j=0;j<n;j++) if(b==a[j]){
        result++;
        break;
      }
  }

  cout<<result<<endl;

  return 0;

}