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
# -*- coding: utf-8 -*-


def binary_search(n, A):
    count = 0
    left = 0
    right = len(A)
    while left < right:
        mid = int((left + right) / 2)
        if A[mid] == n:
            return True
        elif A[mid] > n:
            right = mid
        else:
            left = mid + 1
    return False


if __name__ == '__main__':
    n = input()
    S = map(int, raw_input().split())
    q = input()
    T = map(int, raw_input().split())

    count = 0
    for i in xrange(len(T)):
        if binary_search(T[i], S):
            count += 1
    print count