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 <vector>
#include <algorithm>
using namespace std;
int n, c;
int main() {
	auto I = [](){int i;cin>>i;return i;};
	vector<int> S;
	cin >> n;
	while(n--) S.push_back(I());
	cin >> n;
	while(n--)
		if (binary_search(S.begin(), S.end(), I())) ++c;
	cout << c << endl;
	return 0;
}