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;
using ll=long long;
constexpr ll mod=1e9+7;

int main()
{
  int n;
  cin>>n;
  map<int,bool> s;
  for (int i = 0; i < n; ++i)
  {
    int tmp;
    cin>>tmp;
    s[tmp]=true;
  }
  int q;
  cin>>q;
  int ans=0;
  for (int i = 0; i < q; ++i)
  {
    int tmp;
    cin>>tmp;
    if(s[tmp]) ans++;
  }
  cout<<ans<<endl;
}
