Euler problem 09

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.

Performance improvements:

1) According problem definition b must be greater than a.

2) We don't have to iterate through c because  c = 1000 - a - b.

Problem09 =    31875000 elapsed time:    0 ms. Test Passed.