Define constants for the following: $($all constants should be int$)$

array size $-$ value is $100$minimum value to initialize array with $-$ value is $0$maximum value to initialize array with $-$ value is $100$menu options for the following:

Display all array contentsDisplay lower valuesDisplay higher valuesDisplay averageQuit program

Define prototypes for the following functions:

initializeArray: This function does not return a value and accepts $2$ parameters $-$ the array and its size. It initializes the array with random numbers between $0$ and $100$getMenuChoice: This function does not accept any parameters and returns an int. It displays the menu and returns the user's menu choice.processMenuChoice: This function accepts $3$ parameters $-$ the user's choice, the array, and its size. The function does not return a value. It calls the appropriate function based on the choice parameter.displayArray: This function accepts $2$ parameters $-$ the array and its size. The function displays each element of the array to the console.displayLower: This function accepts $3$ parameters $-$ the array, its size, and a number. The function display all elements of the array that are less than its number parameter.displayHigher: This function accepts $3$ parameters $-$ the array, its size, and a number. The function display all elements of the array that are higher than its number parameter.displayAverage: This function accepts $2$ parameters $-$ the array and its size. It calculates and displays the average of all elements in the array.You will need the following tool functions from tools.cpp:

getInt$()$getBoundedInt$()$flushInput$()$randomInt$()$

Main implementation

Define an array of integers and a size of $100$

int array$[$ARRAY$\_$SIZE$]$;

Initialize the array, call initializeArray$()$Create a do$/$while$($true$)$ loop. Within the loop, do the following

Display the menu and get the user's choice, call getMenuChoice$()$Break out of the loop if the choice is quitProcess the menu choice $-$ call processMenuChoice passing the choice, array, and array size

InitializeArray implementation

Create a for loop that walks through each element of the array. For example:

for $($int index $=0$; index $<$ size; index$++)$

Within the loop, initialize the array element. For example:$$

array$[$index$]=$ randomInt$($MIN$\_$VALUE, MAX$\_$VALUE$)$;

getMenuChoice implementation

Create cout statements that display the menuget and return the user's choice $-$ call the getBoundedInt function

processMenuChoice implementation

Define a local int variable that will be used to get a number from the userCreate a switch statement with a case statement for each menu option

display all $-$ call the displayArray function passing the array and size parametersdisplay lower:

prompt the user to enter a number $-$ call getBoundedIntcall the displayLower function passing the array, size, and number arguments

display higher:

prompt the user to enter a number $-$ call getBoundedIntcall the displayHigher function passing the array, size, and number arguments

average

call the displayAverage function passing the array and size arguments

quit

break out of the switch statement

$$default

display an error message indicating invalid menu choice

displayArray implementation

Create a for loop that walks through each element of the array similar to the for loop used in the initalizeArray function.

output the array element:$$ cout $<<$ setw$(5)<<$ array$[$index$]$;Output a newline if the current index $+1\%10$ is $0.$ if $(($index $+1)\%10==0)$

displayLower Implementation

Create a local variable that will be used to hold the number of numbers displayed. Initialize it to $0$Create a for loop that walks through each element of the array

If number is $>$ the current array element then

display the array elementincrement the number of numbers displayed variableOutput a new line character if $10$ elements have been displayed on the current line. For example: if $($numDisplayed $\%10==0)$

displayHigher implementation

The implementation of this function is exactly like the displayLower function.$$ The only difference is the expression within the if statement that compares the number to the current array element.$$ The if statement should be: if number is $>$ the current array element

displayAverage implementation

Create the following local variables$$

int totaldouble average

Create a for loop that walks through each element of the array

Add the array element to the total

Calculate and return the average $-$ total $/$ size.$$ Don't forget to cast total to double before performing the division.