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Problem 249. Project Euler: Problem 9, Pythagorean numbers

Created by Doug Hull

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 = 5^2 = 25.

There exists exactly one Pythagorean triplet for which a + b + c = N (the input).

Find the product abc.

Thank you to Project Euler Problem 9.

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49 solvers submitted 150 solutions (3.06 solutions/solver).

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