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 {
	
	static int search(int[] a, int key) {
		int left=0, right=a.length;
		int mid;
		while (left < right) {
			mid = (left+right) / 2;
			if (key == a[mid]) return mid;
			if (key > a[mid]) left = mid+1;
			else if (key < a[mid]) right = mid;
		}
		return -1;
	}
	
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int[] a = new int[n];
		for (int i=0; i<n; i++) {
			a[i] = sc.nextInt();
		}
		
		int sum = 0;
		
		int q = sc.nextInt();
		for (int i=0; i<q; i++) {
			int key = sc.nextInt();
			if (search(a, key) >= 0)
				sum ++;
		}
		
		sc.close();
		
		System.out.println(sum);
	}

}

