Problem 9

Problem: 

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.


My Solution:

for a in range(0,333):
  for b in range(a,500):
    c = (a**2+b**2)**.5
    if a + b + c == 1000:
      print a*b*c