#!/usr/bin/env python
# coding=utf-8

"""9. Special Pythagorean triplet
https://projecteuler.net/problem=9

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

a2 \+ b2 = c2

For example, 32 \+ 42 = 9 + 16 = 25 = 52.

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