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 <bits/stdc++.h>
using namespace std;

int main() {
  int n, q, cnt = 0;
  cin >> n;
  vector<int> S(n);
  for (size_t i = 0; i < n; i++) {
    cin >> S.at(i);
  }

  cin >> q;
  vector<int> T(q);
  for (size_t i = 0; i < q; i++) {
    cin >> T.at(i);
  }

  for (auto t : T) {
    if (binary_search(S.begin(), S.end(), t)) {
      cnt++;
    }
  }

  cout << cnt << endl;
}
