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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;

class Main{
    public static void main(String[] args) throws IOException{
        final BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        final int n = Integer.parseInt(br.readLine());
        final String[] in = br.readLine().split(" ");
        final int[] s = new int[n];
        for(int i = 0; i<n; i++){
            s[i] = Integer.parseInt(in[i]);
        }
        int c = 0;
        br.readLine();
        final String[] t = br.readLine().split(" ");
        for(final String ti:t){
            if(Arrays.binarySearch(s, Integer.parseInt(ti))>=0) c++;
        }
        System.out.println(c);
    }
}