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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"fmt"
	"io"
	"os"
)

func main() {
	solve(os.Stdin, os.Stdout)
}

func solve(in io.Reader, out io.Writer) {
	var n int
	fmt.Fscan(in, &n)

	c := 0

	for i := 1; i <= n; i += 2 {
		if cc(i) == 8 {
			c++
		}
	}

	fmt.Fprintln(out, c)
}

func cc(n int) int {
	cm := map[int]int{}
	next := true
	for next {
		next = false
		for i := 2; i <= n; i++ {
			if n%i == 0 {
				cm[i]++
				next = true
				n /= i
				break
			}
		}
	}
	ret := 1
	for _, v := range cm {
		ret *= (v + 1)
	}
	return ret
}