Problem:
Search II

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.

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.

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

Sample Input 1

5
1 2 3 4 5
3
3 4 1

Sample Output 1

3

Sample Input 2

3
1 2 3
1
5

Sample Output 2

0

Sample Input 3

5
1 1 2 2 3
2
1 2

Sample Output 3

2

Notes

Solution in OCaml (judge verdict: Accepted)

let words str = Str.split (Str.regexp " ") str |> List.map int_of_string

let bs elem (a: int array) =
  let rec loop (i_min,i_max) =
    match i_min > i_max || i_max < i_min with
      true -> false
    | false ->
      let mid = (i_min+i_max)/2 in
      match a.(mid) = elem with
        true -> true
      | false ->
        loop (match a.(mid) < elem with true -> mid+1,i_max | false -> i_min,mid-1)
  in loop (0,(Array.length a) -1)

let () =
  let _ = read_int () in
  let s = read_line () |> words |> Array.of_list in
  let _ = read_int () in
  let t = read_line () |> words in
  List.fold_left (fun acc x -> match bs x s with true -> acc+1 | false -> acc)
    0 t
  |> Printf.printf "%d\n"