int count_triple(int n) {
  int cnt = 0;
  for (int a = 1; a <= n; a++)
   for (int b = a; a + b <= n; b++) {
    int c = sqrt(a * a + b * b);
    if (a + b + c > n)
     break;
    if (a * a + b * b == c * c)
     cnt++;
   }
  return cnt;
}