Note: All programs must use the appropriate C$++$ features.

Objective: Develop a C$++$ application that performs vector operations. This program will

enable vector multiplication and division using functors and lambda expressions for

element$-$wise calculations. It should also robustly handle invalid operations such as differing

vector sizes and division by zero through both custom and standard exceptions.

Requirements:

$1.$ NewVector Class

a$.$ Data Storage: Store data using either a vector or array.

b$.$ Opera$$ons Support: Implement multiplication and division using functors.

Create specific classes for these opera$$ons to encapsulate the func$$onality$.$

c$.$ Operators Overloading: Overload the operators $*,/,$ and $$ to facilitate

vector opera$$ons$.$

d$.$ Constructors:

i$.$ Default Constructor: NewVector$($int num$\_$elem$=10).$ Ini$$alize the

NewVector with random values using lambda expressions.

ii$.$ Parameterized Constructor: Ini$$alize the NewVector with provided

input values, e$.$g$,$ a vector or array.

$2.$ Custom Excep$$on Class

a$.$ Define a VectorOpera$$onExcep$$on class to address specific vector opera$$on

errors such as mismatched dimensions and zero$-$division.

$3.$ Excep$$on Handling

a$.$ Implement try$-$catch blocks to e$$ciently manage excep$$ons during vector

opera$$ons$.$

$4.$ Modify the given main$()$ func$$on to achieve the following features:

a$.$ User Interface: Design an interface that con$$nuously interacts with the user

un$$l they opt to quit, gracefully handling incorrect data entries.

b$.$ Input Handling: Enable users to specify the number of elements for two

NewVectors, with an op$$on to ini$$alize using the default constructor or

manually input values.

c$.$ Opera$$on Demonstra$$ons: Show successful vector opera$$ons and handle

excep$$ons where opera$$ons fail, such as mismatched dimensions or zero

division. Therefore, there are at least three test cases: one successful case,

one error case due to mismatched dimensions, and one error case due to

zero division.

The input and output should be like below:

Input & Output:

Modify the given week$6.$cpp to achieve the result like below.You should have one successful case, one error case due to mismatched dimensions, and

one error case due to zero division.