#P665F. Four Divisors
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ID: 6869
Type: RemoteJudge
10000ms
768MiB
Tried: 0
Accepted: 0
Difficulty: 9
Uploaded By:
Hydro
Tags> Four Divisors
Description
If an integer a is divisible by another integer b, then b is called the divisor of a.
For example: 12 has positive 6 divisors. They are 1, 2, 3, 4, 6 and 12.
Let’s define a function D(n) — number of integers between 1 and n (inclusive) which has exactly four positive divisors.
Between 1 and 10 only the integers 6, 8 and 10 has exactly four positive divisors. So, D(10) = 3.
You are given an integer n. You have to calculate D(n).
The only line contains integer n (1 ≤ n ≤ 1011) — the parameter from the problem statement.
Print the only integer c — the number of integers between 1 and n with exactly four divisors.
Input
The only line contains integer n (1 ≤ n ≤ 1011) — the parameter from the problem statement.
Output
Print the only integer c — the number of integers between 1 and n with exactly four divisors.
10
20
3
5