project_euler.problem_009.sol2
==============================

.. py:module:: project_euler.problem_009.sol2

.. autoapi-nested-parse::

   Project Euler Problem 9: https://projecteuler.net/problem=9

   Special Pythagorean triplet

   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 a*b*c.

   References:
       - https://en.wikipedia.org/wiki/Pythagorean_triple



Functions
---------

.. autoapisummary::

   project_euler.problem_009.sol2.solution


Module Contents
---------------

.. py:function:: solution(n: int = 1000) -> int

   Return the product of a,b,c which are Pythagorean Triplet that satisfies
   the following:
     1. a < b < c
     2. a**2 + b**2 = c**2
     3. a + b + c = n

   >>> solution(36)
   1620
   >>> solution(126)
   66780