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Special Pythagorean triplet: Project Euler Problem 9

Problem link: http://projecteuler.net/problem=9

Problem Statement:
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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