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.Scanner;

public class Main {

	public static void main(String[] args) throws Exception {

		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		long[] S = new long[n];

		for(int i = 0; i < n; i++) {
			S[i] = sc.nextLong();
		}

		int q = sc.nextInt();
		int count = 0;

		for(int j = 0; j < q; j++) {
			long T = sc.nextLong();
			for(int i = 0; i < n; i++) {
				if(T < S[i]) {
					break;
				} else if(T == S[i]) {
					count++;
					break;
				}
			}
		}
		System.out.println(count);
	}

}
