In this test, you will design various classes and write a program to computerize the billing system of a hospital.

$1.(10$ Pts$.)$ Design the personType with data members firstName & lastName with the following member functions:

$$ Set firstName and lastName

$$ Get firstName and lastName

$$ Print to display first and last name

$$ Default and overloaded constructors

$2.(10$ Pts$.)$ Design the class doctorType, inherited from the class personType, with an additional data member to store a doctor$$s speciality. Add appropriate constructors and member functions to initialize, access, and manipulate the data members.

$3.(10$ Pts$.)$ Design the class billType with data members to store a patient$$s ID and a patient$$s hospital charges, such as pharmacy charges for medicine, doctor$$s fee, and room charges. Add appropriate constructors and member functions to initialize, access, and manipulate the data members.

$4.(10$ Pts$.)$ Design the class dateType with data members day, month, and year with the following member functions:

$$ Set day, month, and year

$$ Get day, month, and year

$$ Print to display a date

$$ Default and overloaded constructors

$5.(15$ Pts$.)$ Design the class patientType, inherited from the class personType, with additional data members to store a patient$$s ID$,$ age, date of birth, attending physician$$s name, the date when the patient was admitted in the hospital, and the date when the patient was discharged from the hospital. Use the class dateType to store the date of birth, admit date, discharge date, and the class doctorType to store the attending physician$$s name. Add appropriate constructors and member functions to initialize, access, and manipulate the data members.

$6.(20$ Pts$.)$ Write the following overloaded operators:

$<<$ and $>>$ operators to output and input information of a patient

$<$ and $>$ operator to compare two patientType objects to find less or more billing amount.

In C$++$