a. Write the class definition for a Date class that contains three private integer data members: month, day, and year. Create a static member to hold a slash. Create two public member functions, setDate()and showDate(). You will use the static slash in the showDate() function. The setDate()function accepts three integer arguments and passes them on to three private functions, setMonth(), setDay(), and setYear(). If a month is greater than 12, then set it to 12. If a day is greater than 31, then set it to 31. Write a main()function that instantiates several objects of the Date class and tests the member functions. Save the file as Date.cpp.

b. Improve the setDay()function by ensuring the day is not higher than allowed for a month—31 for January, March, May, July, August, October, or December; 30 for April, June, September, or November; and 28 or 29 for February. February usually contains 28 days. If a year is evenly divisible by 4, but not by 100, February contains 29 days. (For example, February has only 28 days in 1900 and 2100.) However, if a year is evenly divisible by 400, then February has 29 days (as in the year 2000). Write a main()function that instantiates several objects of the Date class and tests the member functions. Save the file as Date2.cpp.

c. Add a public function named increaseDay()to the Date class. Its purpose is to add 1 to the day field of a Date object. When the day is increased to more than the highest day number allowed for a month, the month increases by 1 and the day is set to 1. Write a main()function that declares several Date objects that will thoroughly test all the functions; in other words, make sure some are close to the end of a month. Loop to call the increaseDay()function five times for each Date, displaying each version of the Date as soon as it is increased. Write a main()function that instantiates several objects of the Date class and tests the member functions. Save the file as Date3.cpp.

d. Add instructions to the increaseDay()function so that when the month becomes more than 12, the year increases by 1, and the month and day are set to 1. Write a main()function that declares a Date object. Set the Date to 12/29/2007 and call the increaseDay() function 400 times, displaying each version of the Date as soon as it is increased. Examine the output to make sure each month and year changes correctly. Save the file as Date4.cpp.