# Pythagorean Triplet

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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## Source

Problem 9 at Project Euler [http://projecteuler.net/problem=9](http://projecteuler.net/problem=9)

## Submitting Incomplete Solutions
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