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: Wrong Answer)

open Scanf
open Printf

let prime = [
        3;
        5;
        7;
        11;
        13;
      ]

let num = [
  3 * 5 * 7;
  3 * 5 * 11;
  3 * 5 * 13;
  3 * 7 * 11;
  3 * 7 * 13;
  3 * 11 * 13;
  5 * 7 * 11;
  5 * 7 * 13;
  7 * 11 * 13;
  3 * 3 * 5 * 5;
  3 * 3 * 7 * 7;
  3 * 3 * 11 * 11;
  3 * 3 * 13 * 13;
  5 * 5 * 7 * 7;
  5 * 5 * 11 * 11;
  5 * 5 * 13 * 13;
  7 * 7 * 11 * 11;
  7 * 7 * 13 * 13;
  11 * 11 * 13 * 13
]

let f n = List.length @@ List.filter (fun k -> k <= n) num

let () = let ans = scanf "%d\n" f in
  printf "%d\n" ans