Develop C++ a program using SWITCH and IF statement ONLY and modulo operator to determine the day of the week for a particular date. The program should read the day in the month, such as 9 for July 9....

Develop  C++ a program using SWITCH and IF statement ONLY and modulo operator to determine the day of the week for a particular date. The program should read the day in the month, such as 9 for July 9.  It should also present a menu of the days of the week and ask the day of the week for the first day in the month.  A sample session might go as follows:
This program can tell you the day of the week for any day in a month.
What is the number of today’s date (1 – 31): 8
The first of the month was on which day?
1.    Sunday
2.    Monday
3.    Tuesday
4.    Wednesday
5.    Thursday
6.    Friday
7.    Saturday
Please give the day (1 – 7): 3
Day 8 of the month is on a Tuesday.
Run your program multiple times testing a different month start date and a different day of the week.
Day (1-31)    Month start day (1-7)
Use 1-7                1
Use 1-7                2
Use 1-7                3
Use 1-7                4
Use 1-7                5
Use 1-7                6
Use 1-7                7
Random number    Random number
Be sure to check for valid data to make sure the 20th of each month works.