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>
#define rep(i, n) for(int i = 0; i < (int)(n); i++)
//using ll = long long;
using namespace std;

int main(){
  int n, q, ans = 0, input;
  cin >> n;
  vector<int> s(n);
  rep(i, n) cin >> s.at(i);
  cin >> q;
  rep(i, q){
    cin >> input;
    if(binary_search(s.begin(), s.end(), input)) ans++;
  }
  
  cout << ans << endl;
  return 0;
}
