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Contents
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 = 25 = 5**2.
```
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product a * b * c.
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