A Pythagorean triple consists of three positive integers , , and , such that . Such a triple is commonly written as . This term comes from the Pythagorean theorem, which says that a Pythagorean Triple will be the lengths of the sides of a right-angled triangle.

You have been given an integer which represents the length of one of cathetus of a right-angle triangle.

You need to find the lengths of the remaining sides. There may be multiple possible answers; any one will be accepted.

Hints:

• Every odd number can be represented as .
• If and are integers and , then .