Project Euler – Problem 9

From the Project Euler

Problem 9:
A Pythagorean triplet is a set of three natural numbers, a b c, for which,

a² + b² = c²
For example, 3² + 4² = 9 + 16 = 25 = 5².

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

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