#include <bits/stdc++.h>
using namespace std;
using LL = long long;

using A = array<double, 3>;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int T;
    cin >> T;
    while (T--) {
        int x, y, z;
        cin >> x >> y >> z;

        auto len = [&](A a, A b) {
            return sqrt((a[0] - b[0]) * (a[0] - b[0]) + (a[1] - b[1]) * (a[1] - b[1]) + (a[2] - b[2]) * (a[2] - b[2]));
        };


        auto check = [&](int x) {
            return x == 255 || x == 0;
        };


        if (check(x) && check(y) && check(z)) {
            cout << 1 << '\n';
            cout << x << ' ' << y << ' ' << z << ' ';
            cout << fixed << setprecision(10) << len(A{x, y, z}, A{0, 0, 0}) << '\n';
            continue;
        }
        A a0{x, y, z}, a1, a2;

        bool flag1 = 0, flag2 = 0;

        auto print = [&](A a) {
            if (flag1) {
                cout << fixed << setprecision(10) << a[0] << ' ' << a[2] << ' ' << a[1];
            } else if (flag2) {
                cout << fixed << setprecision(10) << a[2] << ' ' << a[1] << ' ' << a[0];
            } else {
                cout << fixed << setprecision(10) << a[0] << ' ' << a[1] << ' ' << a[2];
            }
        };

        auto get1 = [&](A a) {
            double x = 255 - 255 * (255 - a[0]) / (255 - a[2]);
            double y = 255 - 255 * (255 - a[1]) / (255 - a[2]);
            return A{x, y, 0};
        };

        auto get2 = [&](A a) {
            double x = 255 - 255 * (255 - a[0]) /(255 - a[1]);
            return A{x, 0, 0};
        };

        auto get3 = [&](A a) {
            double y = 255 - 255 * (255 - a[1]) / (255 - a[0]);
            return A{0, y, 0};
        };

        auto print1 = [&](A a, A b) {
            cout << fixed << setprecision(10) << len(a, b);
        };

        a1 = get1(a0);

        if (a1[0] <= 255 && a1[0] >= 0 && a1[1] >= 0 && a1[1] <= 255) {

        } else {
            swap(a0[1], a0[2]);
            a1 = get1(a0);

            if (a1[0] <= 255 && a1[0] >= 0 && a1[1] >= 0 && a1[1] <= 255) {
                flag1 = 1;
            } else {
                swap(a0[1], a0[2]);
                swap(a0[0], a0[2]);
                a1 = get1(a0);
                flag2 = 1;
            }
        }

        a2 = get2(a1);

        bool flag3 = 0;
        if (a2[0] >= 0 && a2[0] <= 255) {
            
        } else {
            flag3 = true;
            a2 = get3(a1); 
        }

        cout << 3 << '\n';
        if (flag3) {
            print(A{0, 255, 0});
        } else {
            print(A{255, 0, 0});
        }
        cout << ' ';
        print1(a2, A{0, 0, 0});
        cout << '\n';

        print(A{255,255, 0});
        cout << ' ';
        print1(a2, a1);
        cout << '\n';

        print(A{255, 255, 255});
        cout << ' ';
        print1(a1, a0);
        cout << '\n';
    }
    return 0;
}