"""
a^2 + b^2 = c^2
a + b + c = 1000
FIND a*b*c
"""


def euler_9():
    for a in range(1, 1000):
        for b in range(a, 1000):
            c = 1000 - a - b
            if a**2 + b**2 == c**2:
                print(f"Found a={a}, b={b}, c={c}")
                return a * b * c


if __name__ == "__main__":
    print(euler_9())