Problem 9

Special Pythagorean triplet

A Pythagorean triplet is a set of three natural numbers, `a` `b` `c`, for which,

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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These problems are part of
Project Euler
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