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.Arrays;

class Main {

    private static final int CONST= 1000000007;
    public static void main(String args[]) {
		java.util.Scanner sc = new java.util.Scanner(System.in);
        int n = Integer.parseInt(sc.next());
        int[] S = new int[n];
        for(int i=0; i<n; i++)  S[i] = Integer.parseInt(sc.next());

        int q = Integer.parseInt(sc.next());
        int[] T = new int[q];
        for(int i=0; i<q; i++)  T[i] = Integer.parseInt(sc.next());

        int count = 0;
        for(int element : T){
            if(Arrays.binarySearch(S, element) >= 0)    count++;
        }
        System.out.println(count);
        sc.close();
    }
}
