euler

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commit cb81a9cc0edcd47c34d1af1702dbb7b9fd0f4b38
parent 6f3da943c068f7bc7d8e43d0e3a5c4f653a5cee2
Author: Cody Lewis <luxdotsugi@gmail.com>
Date:   Sun, 18 Nov 2018 18:30:27 +1100

Solution to problem 9

Diffstat:
ANine.py | 28++++++++++++++++++++++++++++
1 file changed, 28 insertions(+), 0 deletions(-)

diff --git a/Nine.py b/Nine.py @@ -0,0 +1,28 @@ +''' +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 find_triplet_product(): + a = 1 + b = 1 + c = 1000 - (a + b) + while a < c: + while c > 0: + if (a**2 + b**2) == c**2: + return a * b * c + b += 1 + c -= 1 + a += 1 + b = a + c = 1000 - (a + b) + return -1 + +if __name__ == "__main__": + print(f"The product of the Pythagorean triplet fitting a + b + c = 1000 is {find_triplet_product()}")