Write a C++ program that performs the following...

Write a C++ program that performs the following: Prints on screen a selection menu as follow: a. Count characters, change text numbers to integers. b. Series. c. Sum Perfects, 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 read a set of characters from the keyboard until q is pressed. The program should count the occurrence of each of these characters (a, b and c).) 2- Change text number to integer: (Program should call a function that reads a text containing mixed text and numbers until q is pressed, your program prints the numbers only as integers) 3- Return to the main menu. If user presses b or B, the following sub menu should be displayed: 1- F1=12/3! + 24/5!+ 36/7! …n2n/(2n+1)! 2- Cos (x)= 1 – x2/2! + x4/4! – x6/6! …xn/n! 3- Return to the main menu. If user presses c or C, the following sub menu should be displayed: 1- Sum Perfects. (Program should call a function that fill array with 10 random numbers and call a function that finds the sum of the perfect numbers in the array) 2- Average of Primes: (Program should fill two dimensional array with 16 random numbers, and call a function that find the average of primes in the array) 3- Return to the main menu. To Exit press d or D.