P9865 [POI 2021/2022 R2] lic

Background

Translated from [POI2021~2022R2 Day1T2](https://szkopul.edu.pl/problemset/problem/kQ5ExYNkFhx3K2FvVuXAAbn4/statement/)。

Description

Define the “unfriendly numbers” $b$ of $a$ as the numbers satisfying $\gcd(a,b)=1$。 Now you are given the number $n$。You need to output the $c$ numbers starting from the $k$-th number in the increasing order of its “unfriendly numbers”。

Input Format

One line with three numbers $n,k,c\ (2 \leq n \leq 10^{14}, 1 \leq k \leq 10^{14}, 1 \leq c \leq 10^5)$。

Output Format

Output $c$ numbers, representing the $k \sim k+c-1$-th “unfriendly numbers” of $n$。

Explanation/Hint

Explanation of the sample: The “unfriendly numbers” of $10$ are $1,3,7,9,11,13,17\ldots$ in order。 The subtasks are as follows: | Subtask ID | Special Property | Score | | :----------- | :----------- | :----------- | | $1$ | $n \leq 10^6$ and $M \leq n$ | $10$ | | $2$ | $f(n) \leq 10^6$ and $M \leq n$ | $36$ | | $3$ | $c \leq 100$ | $30$ | | $4$ | No special limits | $24$ | Here, $M$ is the maximum value in the output, and $f(n)$ is the count of “unfriendly numbers” $\leq n$。 Translated by ChatGPT 5