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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
using namespace std;

int main(int, char**) {
  int N;
  cin >> N;

  int ans = 0;
  for (int i = 1; i <= N; i++) {
    if (i % 2 == 0) continue;

    int num = 0;
    for (int j = 1; j <= i; ++j) {
      if (i % j == 0) {
        ++num;
      }
    }
    if (num == 8)
      ++ans;
  }
  cout << ans << endl;

  return 0;
}