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Pythagorean Triplet

There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product a * b * c.

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.

Running tests

$ elixir bob_test.exs

(Replace bob_test.exs with the name of the test file.)

Source

Problem 9 at Project Euler view source