009.cpp

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#include <iostream>
using namespace std;
int
main ()
{
  int m, n;
  for (m = 2; m <= 22; m++)
    {
      int temp = 500 - m * m;
      if (temp % m != 0)
        continue;               //n should be an integer

      n = temp / m;
      if (n < m)
        break;                  //a,b should be positive
    }
  if (n >= m)
    {
      cout << "no possible solution" << endl;
      return 0;
    }

  cout << "(m,n)=(" << m << ',' << n << ')' << endl;

  int a = 2 * m * n, b = m * m - n * n, c = m * m + n * n;
  cout << "(a,b,c)=(" << a << ',' << b << ',' << c << ')' << endl;
  cout << "product of a,b,c = " << (long (a) * b * c) <<endl;
  return 0;
}