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.*;

public class Main{

	public static void main(String[] args) {
		int count = 0;
		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 m = sc.nextInt();
		int[] b = new int[m];
		for(int j = 0 ;j < m;j++) {
			b[j] = sc.nextInt();
		}
		sc.close();
		for(int j = 0 ;j < m;j++) {
			if(binarySearch(a,b[j]) == 1) {
				count++;
			}
		}
		System.out.println(count);
	}

	public static int binarySearch(int[] arr, int x) {
		int left = 0;
		int right = arr.length-1;
		int mid ;
		while(left <= right) {
			mid = (left+right)/2;
			if(arr[mid] == x) {
				return 1;
			}else if(arr[mid] > x) {
				right = mid-1;
			}else {
				left = mid+1;
			}
		}
		return 0;
	}

}
