public class Complex implements Comparable {
    
    private int real;
    private int complex;
    
    public Complex(int real, int complex) {
	this.real = real;
	this.complex = complex;
    }
    
    public String toString() {
	String op="+";
	if(complex<0) op="";
	return real+op+complex+"i";
    }
    
    public boolean equals(Complex c) {
	return complex==c.complex && real==c.real &&
	    mag(this)==mag(c);
    }
    
    public int compareTo(Object c) {
	int result=9999;
	if (mag(this) < mag((Complex)c)) result=-1;
	else if (this.equals((Complex)c)) result=0;
	else if (mag(this) > mag((Complex)c)) result=1;
	return result;
    }
    
    private double mag(Complex c) {
	double asqu = c.real*c.real;      
	double bsqu = c.complex*c.complex;
	return Math.sqrt(asqu+bsqu);
    }
}