欧拉计划 第九题

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.

            for (int b = 0; b < 500; b++)
            {
                for (int a = 0; a < b; a++)
                {
                    int c = 1000 - a - b;

                    if (c <= b) break;

                    int c2 = a*a + b*b;
                    if(c2 == c * c)
                    {
                        Console.WriteLine(a*b*c);
                    }
                }
            }