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Write a python program that solves this: A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, a

Write a python program that solves this:

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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