PART $1(20$ points$)$:

Compare and contrast the dynamic memory allocation and deallocation operators: new,

new$[],$ delete, and delete$[].$ Discuss their purposes, differences, and usage scenarios.

PART $2(20$ points$)$:

Using the set of files that deal with Complex numbers, you will encounter an error. Identify

the error, explain its cause, and describe how you would resolve the issue.

PART $3(60$ points$)$:

Refer to the class COMPLEX from EXAM #$2-$ Complex Files, which facilitates operations

on complex numbers of the form realPart $+$ imaginaryPart $*$ i$,$ where i is

equal to the value of sqrt$(-1).$

Modify the class to support input and output of complex numbers using the

overloaded $>>$ and $$ operators, respectively. You should remove the toString

function from the class.

Overload the multiplication operator to allow for the multiplication of two complex

numbers, following algebraic principles.

Overload the $==$ and $!=$ operators to enable comparisons between complex

numbers.

THE FILES WE WILL WORK ON $-$ HEADER FILE$-"//$ Complex class definition #ifndef COMPLEX$\_$H #define COMPLEX$\_$H # include using namespace std; class Complex $\{$ public: Complex$($double $=0\mathrm{.}0,$ double $=0\mathrm{.}0)$;$//$ constructor Complex operator$+($const Complex&$)$ const; $//$addition Complex operator$-($const Complex&$)$ const; $//$subtraction string toString$()$ const; private: double real; $//$ real part double imaginary; $//$ imginary part $\}$; #endif" $2-$ IMPLEMENTATION FILE $-/$Complex class member$-$function definitions. #include #include "Complex.h$"$ using namespace std; $//$Constructor Complex::Complex$($double realPart, double imaginaryPart$)$ : real$($realPart$),$ imaginary$($imaginaryPart$)\{\}//$addition operator Complex Complex::operator$+($const Complex& operand$2)$ const $\{$ return Complex$\{$ real $+$ operand$2.$real, imaginary $+$ operand$2.$imaginary $\}$; $\}//$subtraction operator Complex Complex::operator$-($const Complex& operand$2)$ const $\{$ return Complex$\{$ real $-$ operand$2.$real, imaginary $-$ operand$2.$imaginary $\}$; $\}//$ retrun string representation of a Complex object in the form: $($a$,$ b$)$ string Complex::toString$()$ const $\{$ return $"("$s $+$ to$\_$string$($real$)+","$s $+$ to$\_$string$($imaginary$)+")"$s; $\}$ AND LAST MAIN FILE $-"$# include # include "Complex.h$"$ using namespace std; int main$()\{$ Complex x; Complex y$\{4\mathrm{.}3,8\mathrm{.}2\}$; Complex z$\{3\mathrm{.}3,1\mathrm{.}1\}$; cout x: $"$ x$.$toString

y: $"$ y$.$toString

z: $"$ z; x $=$ y $+$ z; cout

x $=$ y $+$ z:

$"$ x$.$toString y$.$toString z$.$toString$()$; x $=$ y $-$ z; cout

x $=$ y $-$ z:

$"$ x$.$toString y$.$toString z$.$toString$()$; $\}"$ i use xcode so rewrite the code according to that only also hints professor gave use $-$ for extra credit $-$ use all three cases using one void pointer i$^2,$ i$^3$ and i$^4)$ please answer this asap