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: Accepted)

N = int(input())
def get(n, item):
    i = 0
    while n%item==0:
        n = n/item
        i += 1
    return i
def get2(n):
    l = []
    target = [3,5,7,11,13]
    for item in target:
        l.append(get(n,item))
        if not l: continue
    m = 1
    for item in l:
        m *= (item+1)
    if m == 8:
        return 1
    else:
        return 0

out = 0
for n in range(105, N+1, 2):
    tmp = get2(n)
    out += tmp
#     if tmp: print(n)
print(out)