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 Python (3.4.3) (judge verdict: Wrong Answer)

#!/usr/bin/env python3
import sys
import math

def main():
    n = int(sys.stdin.readline().rstrip())
    if n < 105:
        print(0)
    else:
        m = n//2
        z = [(i, 1) for i in range(107,n+1, 2)]
        for i in range(3, n, 2):
            z = list(map(lambda x: (x[0], x[1]+1) if x[0]%i==0 else x, z))
        c = len(list(filter(lambda x: x[1]==8, z)))
        print(c+1)
if __name__ == '__main__':
    main()