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
import java.util.*;
public class Main {
    public static void main(String [] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int [] S = new int[n];
        for(int i=0;i<n;i++) S[i] = sc.nextInt();
        int q = sc.nextInt();
        int cnt = 0;
        for(int i=0;i<q;i++){
            int t = sc.nextInt();
            int left = 0, right = n;
            while(left<right){
                int mid = (left+right)/2;
                if(S[mid]==t){
                    cnt++;
                    break;
                }
                else if(S[mid]>t) right = mid;
                else left = mid+1;
            }
        }
        System.out.println(cnt);
    }
}
