009-SpecialPythagoreanTriplet.py

#!/usr/bin/python3
# -*- coding: utf-8 -*-
# A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
# a^2 + b^2 = c^2
# 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.

def triplet():
    for a in range(1,400):
        for b in range(a+1,400):
            c=1000-a-b
            if(a**2+b**2==c**2):
                return(a*b*c)
print(triplet())