CF707C Pythagorean Triples
Description
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?
Input Format
The only line of the input contains single integer $ n $ ( $ 1
Output Format
Print two integers $ m $ and $ k $ ( $ 1
Explanation/Hint
Illustration for the first sample.