P6685 The Diameter Problem of a Persistent Dynamic Cactus.

Background

As everyone knows, an exam needs an easy “check-in” problem.

Description

Given $n, m$, find how many positive integers $x$ satisfy $x^m \le n$.

Input Format

One line with two positive integers $n, m$.

Output Format

Output one integer, the number of positive integers $x$.

Explanation/Hint

For $25\%$ of the testdata, $m = 1$. For $50\%$ of the testdata, $n \le 10^6$. For $100\%$ of the testdata, $1 \leq n, m \le 10^9$. --- $\text{upd 2022.7.24}$: A new set of hack testdata has been added. Translated by ChatGPT 5