#!/usr/bin/env python
"""
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.
"""
import math

def solve():
    limit = 500
    squares = [x*x for x in xrange(1, limit)]
    for x in xrange(1, limit):
        for y in xrange(1, limit):
            product = x*x + y*y
            if product in squares:
                z = int(math.sqrt(product))
                if x + y + z == 1000:
                    return x * y *z


if __name__ == '__main__':
    print solve()