#!/usr/bin/env python3

"""
A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,

a2 + b2 = c2
For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.

There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.

"""
