User

Write a C$++$ program to run a menu$-$driven program with the following choices:

Lucas Number Sequence

Prime Number Sequence

Lucas Prime Number Sequence

Quit

$1.$ Write a function called getValidUserInputPosNumGT$0$ that allows a user to enter in an integer and validated that the number is $>0.$ It must have a pass by reference parameter that will store the value selected by the user.

void GetValidUserInputPosNumGT$0($long long &num$)$;

$2.$ Write a function called DisplayLucasNumberSequence that takes a number $($N$)$ as a value parameter. It displays the first N numbers in the Lucas Number Sequence

void DisplayLucasNumberSequence$($long long num$)$;

$3.$ Write a function called IsPrime that takes a number as a value parameter. It returns true if the number is prime and false otherwise.

bool IsPrime$($long long num$)$;

$4.$ Write a function called DisplayPrimeNumber that takes a number $($N$)$ as a value parameter. It displays the first N prime numbers.

void DisplayPrimeNumbers$($long long num$)$;

$5.$ Write a function called DisplayLucasPrimeNumbers that takes a number $($N$)$ as a value parameter. It displays the first N Lucas prime numbers.

void DisplayLucasPrimeNumbers$($long long num$)$;

$6.$ Add comments wherever necessary.

$7.$ Restrict yourself to input$/$output statements, variables, selection statements, loops, and functions. No strings or arrays.

Sample run:

Welcome to the playing with numbers!

$1)$ Lucas Number Sequence

$2)$ Prime Number Sequence

$3)$ Lucas Prime Number Sequence

$4)$ Quit

Select an option $(1.\mathrm{.}4).\mathrm{.}5$

Select an option $(1.\mathrm{.}4)..-7$

Select an option $(1.\mathrm{.}4).\mathrm{.}1$

Enter in n

Enter in a positive number greater than $0...-8$

Enter in a positive number greater than $0..\mathrm{.}5$

Lucas Number Sequence

$2$

$1$

$3$

$4$

$7$