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# 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.
import PIL
import math
def isTriple(abc):
if len(abc) > 3:
return False
legs = abc[0]**2 + abc[1]**2
hyp = abc[2]**2
if (hyp == legs):
return True
else:
return False
for i in range(1, 1000):
for j in range(1, 1000):
for k in range(1, 1000):
if (i+j+k) == 1000 and isTriple([i, j, k]):
print([i, j, k])
print(i*j*k)
exit()
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