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
n = input()
  
S = [int(x) for x in raw_input().split()]
  
q = input()
  
T = [int(x) for x in raw_input().split()]
  
C = 0
 

 
for key in T:
  left = 0
  right = n
  while left<right:
    mid = (right + left)/2
    if key==S[mid]:
      C += 1
      break
    elif key<S[mid]:
      right = mid
    elif key>S[mid]:
      left = mid+1
 

print C