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 <cstdio>

int n,q;
int s[100001];

int search(int key){
	int l=0,r=n;
	while(r-l>1){
		int mid=(l+r)/2;
		if(s[mid]>key)r=mid;
		else l=mid;
	}
	return s[l]==key?1:0;
}

int main(void){
	scanf("%d",&n);
	for(int i=0;i<n;i++){
		scanf("%d",&s[i]);
	}
	scanf("%d",&q);
	int cnt=0;
	for(int i=0;i<q;i++){
		int t;
		scanf("%d",&t);
		cnt+=search(t);
	}
	printf("%d\n",cnt);
	return 0;
}