Solution to problem 9
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src/Python/Problem009.py
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src/Python/Problem009.py
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#!/usr/bin/env python3
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"""
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Created on 26 Aug 2017
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@author: David Doblas Jiménez
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@email: daviddoji@pm.me
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Solution for problem 9 of Project Euler
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https://projecteuler.net/problem=9
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"""
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from utils import timeit
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@timeit("Problem 9")
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def compute():
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"""
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A Pythagorean triplet is a set of three natural numbers, a < b < c,
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for which a^2 + b^2 = c^2
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For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
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There exists exactly one Pythagorean triplet for which a + b + c = 1000.
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Find the product abc.
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"""
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upper_limit = 1000
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for a in range(1, upper_limit + 1):
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for b in range(a + 1, upper_limit + 1):
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c = upper_limit - a - b
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if a * a + b * b == c * c:
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# It is now implied that b < c, because we have a > 0
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return a * b * c
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if __name__ == "__main__":
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print(f"Result for Problem 9: {compute()}")
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