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
def do_binary_search(target_value, target_list, target_list_length=None):
    if target_list_length:
        target_list_length = len(target_list)
   

    left = 0
    right = target_list_length

    while right - left > 0:
        mid = (right + left) / 2
        if target_list[mid] == target_value:
            return True
        elif target_value < target_list[mid]:
            right = mid
        else:
            left = mid + 1
    return False



def main():
    s_length = int(raw_input())
    s = [int(x) for x in raw_input().strip().split(' ')]
    t_length = raw_input()
    t = [int(x) for x in raw_input().strip().split(' ')]

    counter = 0
    for value in t:
        counter += int(do_binary_search(value, s, s_length))

    print counter 

if __name__ == '__main__':
    main()