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) {
		int count = 0;
		Scanner scanner = new Scanner(System.in);

		int n = scanner.nextInt();
		int[] S = new int[n];
		for (int i = 0; i < n; i++) {
			S[i] = scanner.nextInt();
		}

		int q = scanner.nextInt();
		int[] T = new int[q];
		for (int i = 0; i < q; i++) {
			T[i] = scanner.nextInt();
		}

		for (int i = 0; i < q; i++) {
			int index = T[i];
			int min = 0;
			int max = n - 1;
			int weight;
			while (true) {
				weight = (min + max) / 2;
				if (S[weight] == index) {
					count++;
					break;
				} else if (min > max) {
					break;
				} else {
					if (S[weight] < index) {
						min = weight + 1;
					} else {
						max = weight - 1;
					}
				}
			}
		}
		System.out.println(count);
                scanner.close();
	}
}
	