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 Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

main = do
  l <- getLine
  let n =read l
  print $ compute n

compute n = length
  [ ()
  | k <- [105..n]
  , len8 $ factors k
  ]

len8 [_,_,_,_,_,_,_,_] = True
len8 _ = False

factors k = [ n | n <- [1..k], k `mod` n == 0 ]