Pythagorean Triples

题意翻译

给出一个数字,要你求出另外的两个数使得这三个数构成勾股数

题目描述

Katya studies in a fifth grade. Recently her class studied right triangles and the Pythagorean theorem. It appeared, that there are triples of positive integers such that you can construct a right triangle with segments of lengths corresponding to triple. Such triples are called Pythagorean triples. For example, triples $ (3,4,5) $ , $ (5,12,13) $ and $ (6,8,10) $ are Pythagorean triples. Here Katya wondered if she can specify the length of some side of right triangle and find any Pythagorean triple corresponding to such length? Note that the side which length is specified can be a cathetus as well as hypotenuse. Katya had no problems with completing this task. Will you do the same?

输入输出格式

输入格式


The only line of the input contains single integer $ n $ ( $ 1<=n<=10^{9} $ ) — the length of some side of a right triangle.

输出格式


Print two integers $ m $ and $ k $ ( $ 1<=m,k<=10^{18} $ ), such that $ n $ , $ m $ and $ k $ form a Pythagorean triple, in the only line. In case if there is no any Pythagorean triple containing integer $ n $ , print $ -1 $ in the only line. If there are many answers, print any of them.

输入输出样例

输入样例 #1

3

输出样例 #1

4 5

输入样例 #2

6

输出样例 #2

8 10

输入样例 #3

1

输出样例 #3

-1

输入样例 #4

17

输出样例 #4

144 145

输入样例 #5

67

输出样例 #5

2244 2245

说明

![](https://cdn.luogu.org/upload/vjudge_pic/CF707C/80a087cda42609e729836c8476c6d8655d41a6b9.png)Illustration for the first sample.