Project Euler # 9 "Special Pythagorean Triple" in Python

Problem 9 "Special Pythagorean Triple"

A Pythagorean triple (a natural number that satisfies the Pythagorean theorem) is a set of numbers that satisfy the following equation with a <b <c.

a^2 + b^2 = c^2

For example

3^2 + 4^2 = 9 + 16 = 25 = 5^2

. There is only one Pythagoras triplet with a + b + c = 1000. Calculate the product abc of these.

Python


n = 1000

seq = range(1, n+1)

def is_pythagorean(a, b, c):
  return a**2 + b**2 == c**2

pythagorean = None
for a in seq:
  if(pythagorean): break
  for b in range(a+1, n+1):
    c = n - b - a
    if(c > b and is_pythagorean(a, b, c)):
      pythagorean = (a, b, c)
      break

result = reduce(lambda x,y: x*y, pythagorean)

print result
print result == 31875000
print pythagorean

result


31875000
True
(200, 375, 425)

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