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>
#include<algorithm>
#include<vector>
using namespace std;
int main() {
  int n;
  cin >> n;
  vector<int> v(n);
  for(int i=0; i<n; i++) {
      cin >> v[i];
  }
  sort(v.begin(),v.end());
  int q,ans=0,a;
  cin >> q;
  while(q--) {
      cin >> a;
      if(binary_search(v.begin(),v.end(),a)) {
          ans++;
      }
  }
  cout << ans << endl;
}
