project_euler.problem_009.sol2

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

solution(→ int)

Return the product of a,b,c which are Pythagorean Triplet that satisfies

Module Contents

project_euler.problem_009.sol2.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