import java.lang.Math;

public class Complex
{
  private double real = 0.0;
  private double img = 0.0;

  public Complex(){}
  
  public Complex(double r, double i)
  {
      real = r; 
      img = i; 
  }
  
  //alternate constructor for ints
  public Complex(int r, int i)
  {
      real = (double)r; 
      img = (double)i; 
  }

  public double getReal()
  { 
      return real; 
  }

  public double getImg()
  { 
      return img; 
  }

  public void add(Complex cvalue) 
  {
    real = real + cvalue.real;
    img  = img  + cvalue.img;
  }

  public void subtract(Complex cvalue) 
  {
    real = real - cvalue.real;
    img  = img  - cvalue.img;
  }
  
  public double distanceToOrigin()
  {
      return Math.sqrt((real * real) + (img * img));
  }

  public static Complex add(Complex cvalue1, Complex cvalue2) 
  {
    double r = cvalue1.getReal() + cvalue2.getReal();
    double i = cvalue1.getImg()  + cvalue2.getImg();
    return new Complex(r,i);
  }

  public static Complex subtract(Complex cvalue1, Complex cvalue2) 
  {
    double r = cvalue1.getReal() - cvalue2.getReal();
    double i = cvalue1.getImg()  - cvalue2.getImg();
    return new Complex (r,i);
  }
  
  public static Complex multiply(Complex cvalue1, Complex cvalue2)
  {
      double a = cvalue1.getReal();
      double b = cvalue1.getImg();
      double c = cvalue2.getReal();
      double d = cvalue2.getImg();
      
      double realPart = (a * c) - (b * d);
      double imagPart = (a * d) + (b * c);
      
      return new Complex(realPart, imagPart);
  }
  
  public String toString()
  {
      return real + "+" + img + "i";
  }
 
}