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
# Here your code !
n = int(raw_input())
S = map(int,raw_input().split())
q = int(raw_input())
T = map(int,raw_input().split())
C = 0

def binary_search(A,n):
    """no recursion version"""
    l = len(A)
    left = l/2
    right = l-1
    while A[left] != n:
        if left == right and A[left] != n:
            #print left,right,"if"
            return False
        elif A[left] > n: # n????????????????????´???
            right = left
            left = left/2
            #print left,right,"elif1"
        elif A[left] < n: # n????????????????????´???
            right = right
            left = (left + right-1)/2 + 1
            #print left,right,"elif2"
    else:
        return True

for item in T:
    if binary_search(S,item):
        C += 1
print C