#include <iostream>
#include <ostream>
#include <iostream>
using namespace std;
class Complex{
 public:
  Complex(double real, double imm=0);
  Complex();
  Complex coniugate();
  double real(){return realPart;}
  double imm(){return immPart;}
  double mod();
  double mod2();
  
  Complex operator+(Complex in){
    return Complex (realPart+in.real(),
		    immPart+in.imm());    
  }
  Complex operator-(Complex in){
    return Complex (realPart-in.real(),
		  immPart-in.imm());    
  }
  Complex operator*(Complex in){
    return Complex(
		   realPart*in.real()-immPart*in.imm(),
		   realPart*in.imm()+immPart*in.real());
  }
  Complex operator/(Complex in){
    return this->operator*(in.inverso());
  }  
  ostream& operator<<(ostream&, const Complex&); //inserter
  
  istream& operator>>(istream&, Complex&); //extractor



  Complex inverso();  
 private:
  double realPart;
  double immPart;
};

Complex::Complex(double real, double imm){
  realPart=real;
  immPart=imm;
}

Complex::Complex(){
  realPart=0;
  immPart=0;
}

Complex Complex::coniugate(){
  return Complex (realPart, -immPart);
}

double Complex::mod2(){
  return (realPart*realPart+immPart*immPart);
}

double Complex::mod(){
  return sqrt(mod2());
}

Complex Complex::inverso(){
  double m = mod2();
  return Complex (realPart/m, -immPart/m);		  
}


ostream& Complex::operator<<(ostream& str, const Complex& c){
  str<<"("<<c.real()<<","<<c.imm()<<")";
}

istream& Complex::operator>>(istream& str, Complex& c){
  double r,i;
  str>>r>>i;
  c = Complex(r,i);
}