P7884 [Template] Meissel-Lehmer

Description

Given an integer $n$, find the value of $\pi(n)$. $\pi(n)$ denotes the number of prime numbers among the integers from $1$ to $n$.

Input Format

One line with one integer $n$.

Output Format

One line with one integer, representing the required value.

Explanation/Hint

For $100\%$ of the testdata, $1 \leq n \leq 10^{13}$. Translated by ChatGPT 5