Project Euler: Problem 9

https://projecteuler.net/problem=9

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.


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raise NotImplementedError()

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# This cell will be used for grading, leave it at the end of the notebook.