# 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.
for a in range(3, 1000):
for b in range (a + 1, 999):
cSquared = a**2 + b**2
c = cSquared**0.5
if a + b + c == 1000:
product = a * b * c
print(product)
break
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Created: March 2, 2014
Completed in full by: Michael Yaworski