A partial implementation of a Complex number class is given below. A Complex object represents a complex number. Complex objects may be added or subtracted using the overloaded operators + and -.

class Complex { private: double re; double im; public: Complex() : re(0), im(0) {}; Complex(double r, double i) : re(r), im(i) {}; Complex operator+(const Complex & c) { return Complex(re+c.re, im+c.im); } Complex operator-(const Complex & c) { return Complex(re-c.re, im-c.im); } };

Add the following features to the Complex class:

• An overloaded * operator that multiplies two complex numbers
• An overloaded / operator to divide two complex numbers
• An overloaded << operator that allows a Complex object to be passed to cout for printing

When the following test code is run from main()

 Complex c1(1,-2); Complex c2(3,-4); Complex c3(-3,2); cout << (c1 + c2 - c2 - c1); cout << endl; cout << ((c1-c2)/c3 + c1*c3);

your code should produce a printout similar to this:

0 1.76923 + 8.15385j