#include <iostream>
#include <cmath>

using namespace std;

class Complex
{
private:
	double real, imag;

public:
	Complex(double, double);
	void print();

	double abs();

	friend Complex add(Complex, Complex);
	friend Complex sub(Complex, Complex);
	friend Complex mul(Complex, Complex);
	friend Complex div(Complex, Complex);
};

Complex::Complex(double real, double imag)
{
	this->real = real;
	this->imag = imag;
}

void Complex::print()
{
	cout << real << " + " << imag << "*i" << endl;
}

double Complex::abs()
{
	return(sqrt(real*real + imag * imag));
}

Complex add(Complex c1, Complex c2)
{
	Complex c3(c1.real + c2.real, c1.imag + c2.imag);
	return c3;
}

Complex sub(Complex c1, Complex c2)
{
	Complex c3(c1.real - c2.real, c1.imag - c2.imag);
	return c3;
}

Complex mul(Complex c1, Complex c2)
{
	Complex c3(c1.real * c2.real - c1.imag * c2.imag, c1.real * c2.imag + c1.imag * c2.real);
	return c3;
}

Complex div(Complex c1, Complex c2)
{
	double c = c2.real * c2.real + c2.imag * c2.imag;

	Complex c3((c1.real * c2.real + c1.imag * c2.imag) / c, (c1.imag * c2.real - c1.real * c2.imag) / c);
	return c3;
}

int main()
{
	double r, i;

	cout << "Enter the real and imaginary parts of the first complex number: ";
	cin >> r >> i;

	Complex c1(r, i);
	cout << "You have entered the following complex number: ";
	c1.print();
	cout << "Its absolute value is " << c1.abs() << endl << endl;

	cout << "Enter the real and imaginary parts of the second complex number: ";
	cin >> r >> i;
	Complex c2(r, i);
	cout << "You have entered the following complex number: ";
	c2.print();
	cout << "Its absolute value is " << c2.abs() << endl << endl;

	Complex c3 = add(c1, c2);
	cout << "Their sum is: ";
	c3.print();
	cout << "The absolute value of the sum is " << c3.abs() << endl << endl;

	Complex c4 = sub(c1, c2);
	cout << "Their difference is: ";
	c4.print();
	cout << "The absolute value of the sum is " << c4.abs() << endl << endl;

	Complex c5 = mul(c1, c2);
	cout << "Their product is: ";
	c5.print();
	cout << "The absolute value of the product is " << c5.abs() << endl << endl;

	Complex c6 = div(c1, c2);
	cout << "Their quotient is: ";
	c6.print();
	cout << "The absolute value of the quotient is " << c6.abs() << endl << endl;

	return 0;
}