#include <iostream>
#include <vector>
#include <cmath>

using namespace std;

class Point
{
    public:
        string id;
        double vx;
        double vy;
        double vz;
        double m;

        Point(string id = "~",
                double vx = 0,
                double vy = 0,
                double vz = 0,
                double m = 0)
        {
            this->id = id;
            this->vx = vx;
            this->vy = vy;
            this->vz = vz;
            this->m = m;
        }

        void printPoint()
        {
            cout << "label: " << id << '\n'
                << "x_velocity: " << vx << '\n'
                << "y_velocity: " << vy << '\n'
                << "z_velocity: " << vz << '\n'
                << "mass: " << m << "\n\n";
        }
};



class Space
{
    vector<Point> points;

    public:

        void add(string id, double vx, double vy, double vz, double m)
        {
            class Point *to_add = new Point(id, vx, vy, vz, m);
            this->points.push_back(*to_add);
        }

        void qdm(double &px, double &py, double &pz);

        string fastest()
        {
            float vMax = -3.402822e+38;
            string result;
            for (auto i = this->points.begin(); i != this->points.end(); i++)
            {
                float v = sqrt(pow(i->vx, 2) + pow(i->vy, 2) + pow(i->vz, 2));
                if (v > vMax)
                {
                    vMax = v;
                    result = i->id;
                }
            }
            cout << "the fastest point is [" << result << "] [speed = " << vMax << "]\n\n";
            return result;
        }

        void printSpace()
        {
            for (auto i = this->points.begin(); i != this->points.end(); i++)
                i->printPoint();
        }
};



int main()
{
    Space *s = new Space();
    s->add("punto 1", 5, 6, 7, 8);
    s->add("punto 2", 2, 3, 6, 6);
    s->add("punto 3", 1, 4, 9, 7);
    s->printSpace();
    s->fastest();
    //s->qdm();
}