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 Ruby (2.3.3) (judge verdict: Accepted)

require "prime"

n = gets.to_s.to_i

ans = 0
1.step(n,2) do |k|
  # p k.prime_division.to_h
  ans += 1 if 8 == k.prime_division.to_h.values.reduce(1){|cnt, t| cnt * (t+1) } 
  # p k if 8 == k.prime_division.to_h.values.reduce(1){|cnt, t| cnt * (t+1) } 
end

puts ans