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.
static void Main(string[] args)
{
for (int i = 1; i < 1000; i++)
{
for (int j = 1; j < 1000; j++)
{
for (int k = 1; k < 1000; k++)
{
if (i + j + k == 1000)
{
if (j * j + k * k == i * i)
{
int x = i * j * k;
Console.WriteLine(x);
}
}
}
}
}
}