Project Euler 9

• 問題

Problem 9：Special Pythagorean triplet
A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,

a^2 + b^2 = c^2
For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.

There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.

• 解答例

for a in range(1, 1000):
    for b in range(a + 1, 1000):
        c = 1000 - a - b
        if a < b and b < c and c * c == a * a + b * b:
            print("a = ", a, ", b = ", b, ", c = ", c)
            print(a * b * c)