Problem:
Score: 200 points

Problem Statement

The number 105 is quite special - it is odd but still it has eight divisors.
Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)?

Constraints

N is an integer between 1 and 200 (inclusive).

Input

Input is given from Standard Input in the following format:

N

Output

Print the count.

Sample Input 1

105

Sample Output 1

1

Among the numbers between 1 and 105, the only number that is odd and has exactly eight divisors is 105.

Sample Input 2

7

Sample Output 2

0

1 has one divisor. 3, 5 and 7 are all prime and have two divisors. Thus, there is no number that satisfies the condition.

Solution in OCaml (4.02.3) (judge verdict: Accepted)

let () = Scanf.scanf "%d" @@ fun n ->
  Printf.printf "%d\n" @@ List.length @@
    List.filter (fun x -> ( = ) 8 @@
      List.length @@
        List.filter (fun i -> x mod i = 0) @@
          Array.to_list @@ Array.init x (( + ) 1)) @@
      List.filter (fun x -> x mod 2 = 1) @@
        Array.to_list @@ Array.init n (( + ) 1)