Write a C$++$ program that performs the following:

Prints on screen a selection menu as follow:

a$.$ Count characters, converts small character to capital.

b$.$ Series.

c$.$ Binary, Max Digits and Average Primes.

d$.$ Exit

If user presses a or A$,$ the following sub menu should be displayed

$1-$ Count characters:

$($Program should call a function that reads set of characters until q is pressed. The function should count the occurrence of each of these characters $($a$,$ b and c$).)$

$2-$ Small to Capital:

$($Program should call a function that prints all characters in the two cases $($small and capital$))$

$3-$ Return to the main menu.

If user presses b or B$,$ the following sub menu should be displayed:

$1-$ Sin $($x$)=$x$-$x$/31+$x$/31$x$17$m $2-$F$1-12/31+2/51+3/71/(2$n$+1)!$

$3-$ Cos$($x$)/2/21/4/6/$

$4-$ Return to the main menu.

If user presses c or C$,$ the following sub menu should be displayed:

$1-$ Binary to Decimal.

$($program should reads a binary number and convert it to Decimal$)2-$ Max Digits:

$($program should call a function that returns the max even digits of any integer as: follows: x$=1247,$ max digits $=4).$

Average of Primes: $($Program should call a function that returns the average of primes from $1$ to $100)$

$4-$ Return to the main menu.

To Exit press e or E$.$