欧拉计划 第九题

A Pythagorean triplet is a set of three natural numbers, a b c, for which,

a ² + b ² = c ²

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);

                    }

                }

            }