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(void) 
{
	int n, q, *S, *T, i, j, count = 0;
	scanf("%d", &n);
	S = new int[n];
	for (i = 0; i < n; i++)
		scanf("%d", &S[i]);
	scanf("%d", &q);
	for (i = 0; i < q; i++)
	{
		scanf("%d", &j);
		if (*(lower_bound(S, S + n, j)) == j)
			count++;
	}
	cout << count << endl;
}
