Vladik and fractions

题意翻译

**题目描述** 请找出一组合法的解使得$\frac {1}{x} + \frac{1}{y} + \frac {1}{z} = \frac {2}{n}$成立 其中$x,y,z$为正整数并且互不相同 **输入** 一个整数$n$ **输出** 一组合法的解$x, y ,z$,用空格隔开 若不存在合法的解，输出$-1$ **数据范围** 对于$100$%的数据满足$n \leq 10^4$ 要求答案中$x,y,z \leq 2* 10^{9}$ 感谢@Michael_Bryant 提供的翻译

题目描述

Vladik and Chloe decided to determine who of them is better at math. Vladik claimed that for any positive integer $ n $ he can represent fraction  as a sum of three distinct positive fractions in form . Help Vladik with that, i.e for a given $ n $ find three distinct positive integers $ x $ , $ y $ and $ z $ such that . Because Chloe can't check Vladik's answer if the numbers are large, he asks you to print numbers not exceeding $ 10^{9} $ . If there is no such answer, print -1.

输入输出格式

输入格式

The single line contains single integer $ n $ ( $ 1<=n<=10^{4} $ ).

输出格式

If the answer exists, print $ 3 $ distinct numbers $ x $ , $ y $ and $ z $ ( $ 1<=x,y,z<=10^{9} $ , $ x≠y $ , $ x≠z $ , $ y≠z $ ). Otherwise print -1. If there are multiple answers, print any of them.

输入输出样例

输入样例 #1

3

输出样例 #1

2 7 42

输入样例 #2

7

输出样例 #2

7 8 56

说明

对于$100$%的数据满足$n \leq 10^4$ 要求答案中$x,y,z \leq 2* 10^{9}$

题意翻译

**题目描述** 请找出一组合法的解使得$\frac {1}{x} + \frac{1}{y} + \frac {1}{z} = \frac {2}{n}$成立 其中$x,y,z$为正整数并且互不相同 **输入** 一个整数$n$ **输出** 一组合法的解$x, y ,z$,用空格隔开 若不存在合法的解，输出$-1$ **数据范围** 对于$100$%的数据满足$n \leq 10^4$ 要求答案中$x,y,z \leq 2* 10^{9}$ 感谢@Michael_Bryant 提供的翻译