# 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.

def main():
    for i in range(1,500):
        for j in range(1,500):
            for k in range(1,500):
                if ((i+j+k) !=1000):
                    continue
                if (((i**2)+(j**2))==(k**2)):
                    print i*j*k
                    return

main()
