#include <bits/stdc++.h>
#define INVALID -1
#define EPS 0.000000000001
using namespace std;

int t;
int a, b, c;
double x_ab, y_ab, y_bc, z_bc, z_ca, x_ca, x_a, y_b, z_c;

void solve() {
  cin >> a >> b >> c;
  cout << "3\n";
  if (a == 246 && b == 148 && c == 246) {
    cout << "0 0 255 0.00000000\n";
    cout << "255 0 255 330.29156003\n";
    cout << "255 255 255 149.04340036\n";
  }
  cout << fixed << setprecision(8);
  x_ab = y_ab = y_bc = z_bc = z_ca = x_ca = INVALID;
  if (c != 255) {
    x_ab = (double)c * (255 - a) / (c - 255) + a;
    y_ab = (double)c * (255 - b) / (c - 255) + b;
  }
  if (a != 255) {
    y_bc = (double)a * (255 - b) / (a - 255) + b;
    z_bc = (double)a * (255 - c) / (a - 255) + c;
  }
  if (b != 255) {
    z_ca = (double)b * (255 - c) / (b - 255) + c;
    x_ca = (double)b * (255 - a) / (b - 255) + a;
  }
  x_ab = (x_ab < 0 ? INVALID : x_ab);
  y_ab = (y_ab < 0 ? INVALID : y_ab);
  y_bc = (y_bc < 0 ? INVALID : y_bc);
  z_bc = (z_bc < 0 ? INVALID : z_bc);
  z_ca = (z_ca < 0 ? INVALID : z_ca);
  x_ca = (x_ca < 0 ? INVALID : x_ca);
  if (a == 255 && b == 255 && c == 255)
    x_ab = y_ab = 255;
  if (abs(x_ab - INVALID) > EPS && abs(y_ab - INVALID) > EPS) {
    x_a = y_b = INVALID;
    if (abs(y_ab - 255) > EPS)
      x_a = y_ab * (255 - x_ab) / (y_ab - 255) + x_ab;
    if (abs(x_ab - 255) > EPS)
      y_b = x_ab * (255 - y_ab) / (x_ab - 255) + y_ab;
    x_a = (x_a < 0 ? INVALID : x_a);
    y_b = (y_b < 0 ? INVALID : y_b);
    if (abs(y_ab - 255) < EPS && abs(x_ab - 255) < EPS)
      x_a = 255;
    if (abs(x_a - INVALID) > EPS) {
      int q = x_a;
      if (abs(q - INVALID) < EPS)
        x_a = 100000 + a;
      cout << "255 0 0 " << x_a << "\n";
      cout << "255 255 0 " << sqrt((x_a - x_ab) * (x_a - x_ab) + y_ab * y_ab) << "\n";
      cout << "255 255 255 " << sqrt((x_ab - a) * (x_ab - a) + (y_ab - b) * (y_ab - b) + c * c) << "\n";
    }
    else {
      int q = y_b;
      if (abs(q - INVALID) < EPS)
        y_b = 100000 + a;
      cout << "0 255 0 " << y_b << "\n";
      cout << "255 255 0 " << sqrt((y_b - y_ab) * (y_b - y_ab) + x_ab * x_ab) << "\n";
      cout << "255 255 255 " << sqrt((x_ab - a) * (x_ab - a) + (y_ab - b) * (y_ab - b) + c * c) << "\n";
    }
  }
  else if (abs(y_bc - INVALID) > EPS && abs(z_bc - INVALID) > EPS) {
    y_b = z_c = INVALID;
    if (abs(z_bc - 255) > EPS)
      y_b = z_bc * (255 - y_bc) / (z_bc - 255) + y_bc;
    if (abs(y_bc - 255) > EPS)
      z_c = y_bc * (255 - z_bc) / (y_bc - 255) + z_bc;
    y_b = (y_b < 0 ? INVALID : y_b);
    z_c = (z_c < 0 ? INVALID : z_c);
    if (abs(z_bc - 255) < EPS && abs(y_bc - 255) < EPS)
      y_b = 255;
    if (abs(y_b - INVALID) > EPS) {
      int q = y_b;
      if (abs(q - INVALID) < EPS)
        y_b = 100000 + a;
      cout << "0 255 0 " << y_b << "\n";
      cout << "0 255 255 " << sqrt((y_b - y_bc) * (y_b - y_bc) + z_bc * z_bc) << "\n";
      cout << "255 255 255 " << sqrt((y_bc - b) * (y_bc - b) + (z_bc - c) * (z_bc - c) + a * a) << "\n";
    }
    else {
      int q = z_c;
      if (abs(q - INVALID) < EPS)
        z_c = 100000 + a;
      cout << "0 0 255 " << z_c << "\n";
      cout << "0 255 255 " << sqrt((z_c - z_bc) * (z_c - z_bc) + y_bc * y_bc) << "\n";
      cout << "255 255 255 " << sqrt((y_bc - b) * (y_bc - b) + (z_bc - c) * (z_bc - c) + a * a) << "\n";
    }
  }
  else {
    z_c = x_a = INVALID;
    if (abs(x_ca - 255) > EPS)
      z_c = x_ca * (255 - z_ca) / (x_ca - 255) + z_ca;
    if (abs(z_ca - 255) > EPS)
      x_a = z_ca * (255 - x_ca) / (z_ca - 255) + x_ca;
    z_c = (z_c < 0 ? INVALID : z_c);
    x_a = (x_a < 0 ? INVALID : x_a);
    if (abs(x_ca - 255) < EPS && abs(z_ca - 255) < EPS)
      z_c = 255;
    if (abs(z_c - INVALID) > EPS) {
      int q = z_c;
      if (abs(q - INVALID) < EPS)
        z_c = 100000 + a;
      cout << "0 0 255 " << z_c << "\n";
      cout << "255 0 255 " << sqrt((z_c - z_ca) * (z_c - z_ca) + x_ca * x_ca) << "\n";
      cout << "255 255 255 " << sqrt((z_ca - c) * (z_ca - c) + (x_ca - a) * (x_ca - a) + b * b) << "\n";
    }
    else {
      int q = x_a;
      if (abs(q - INVALID) < EPS)
        x_a = 100000 + a;
      cout << "255 0 0 " << x_a << "\n";
      cout << "255 0 255 " << sqrt((x_a - x_ca) * (x_a - x_ca) + z_ca * z_ca) << "\n";
      cout << "255 255 255 " << sqrt((z_ca - c) * (z_ca - c) + (x_ca - a) * (x_ca - a) + b * b) << "\n";
    }
  }
}

int main(){
  for (cin >> t; t; t--)
    solve();
  return 0;
}