class Plural {
private:
    double real = 0;
    double imaginary = 0;
public:
    plural(double a, double b) {
        real = a;
        imaginary = b;
    }

    double get_real() {
        return real;
    }

    double get_imaginary() {
        return imaginary;
    }

    double modulo() {
        return real * real + imaginary * imaginary;
    }


    friend plural operator+(plural first, plural second);

    friend plural operator-(plural first, plural second);

    friend plural operator*(plural first, plural second);

    friend plural operator/(plural first, plural second);
};

plural operator+(plural first, plural second) {
    double r = first.real + second.real;
    double i = first.imaginary + second.imaginary;
    return plural(r, i);
}

plural operator-(plural first, plural second) {
    double r = first.real - second.real;
    double i = first.imaginary - second.imaginary;
    return plural(r, i);
}

plural operator*(plural first, plural second) {
    //r=ac-bd
    double r = first.real * second.real - first.imaginary * second.imaginary;
    //i=bc+ad
    double i = first.real * second.imaginary + first.imaginary * second.real;
    return plural(r, i);
}

plural operator/(plural first, plural second) {
    //r=(ac+bd)/(c*c+d*d)
    double r = (first.real * second.real + first.imaginary * second.imaginary) /
               (second.real * second.real + second.imaginary * second.imaginary);
    //i=(bc-ad)/(c*c+d*d)
    double i = (first.imaginary * second.real - first.real * second.imaginary) /
               (second.real * second.real + second.imaginary * second.imaginary);
    return plural(r, i);
}