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;
#define rep(i, a) for(int i=0; i<(a); i++)
typedef long long ll;

int main()
{
  ll n; cin>>n;
  vector<ll> s(n, 0);
  rep(i, n) cin>>s[i];
  sort(s.begin(),s.end());
  ll q; cin>>q;
  ll ans = 0;
  rep(i, q) {
    ll t; cin>>t;
    if (*lower_bound(s.begin(), s.end(), t) == t) ans++;
  }
  cout << ans << endl;

  return 0;
}

