using System;

public class Program    

{

    public class Complexe

    {

        private double reel;

        private double imaginaire;

        public Complexe()

        {

            this.reel=0;

            this.imaginaire=0;

        }

        public Complexe(double re,double im)

        {

            this.reel=re;

            this.imaginaire=im;

        }

        public string Affichage()

        {

            return this.reel+"+i*"+this.imaginaire;

        }

        public double Reel

        {

            get{return this.reel;}

            set{this.reel=value;}

        }

        public double Imaginaire

        {

            get{return this.imaginaire;}

            set{this.imaginaire=value;}

        }

        public Complexe Inverse()

        {

            Complexe c=new Complexe();

            c.Reel=(this.reel*this.reel)/((this.reel*this.reel)+(this.imaginaire*this.imaginaire));

            c.Imaginaire=-(this.imaginaire*this.imaginaire)/((this.reel*this.reel)+(this.imaginaire*this.imaginaire));

            return c;

        }

        public double Module()

        {

            double m=Math.Sqrt((this.reel*this.reel)+(this.imaginaire*this.imaginaire));

            return m;

        }

        public Complexe Somme(Complexe z2)

        {

            Complexe z=new Complexe();

            z.Reel=this.reel+z2.reel;

            z.Imaginaire=this.imaginaire+z2.imaginaire;

            return z;

        }

        public Complexe Soustraction(Complexe z2)

        {

            Complexe z=new Complexe();

            z.Reel=this.reel-z2.reel;

            z.Imaginaire=this.imaginaire-z2.imaginaire;

            return z;

        }   

        public Complexe Multiplication(Complexe z2)

        {

            Complexe z=new Complexe();

            z.Reel=this.reel*z2.reel-this.imaginaire*z2.imaginaire;

            z.Imaginaire=this.imaginaire*z2.reel+z2.imaginaire*this.reel;

            return z;

        }   

    }

    public static void Main()

    {

        Complexe z1=new Complexe(8,5);

        Complexe z2=new Complexe(4,2);

        Complexe x=z1.Inverse();

        Console.WriteLine(z1.Affichage());

        Console.WriteLine(x.Affichage());

    }

}