Subtask class DayOfYear Define a class with name DayOfYear to store a date with following members:

• two private short unsigned integer attributes dayOfYear and year, whereas for the date the days of a year starting from January 1st (day 1) to December 31st (day 365) shall be stored.
• a static constant private array days as class variable storing the number of the days in the year until January 31st, February 28th, March 31st, ... (leap years shall not be regarded). This class variable shall be defined and initialised outside of the class. Hint: especially helpful will be instead of the numbers of days in a month 31, 28, 31, 30, ... a summed up number of days at the end of each month to store, i.e. 0, 31, 59, 90, 120, ...
• an overloaded public (standard) constructor with two default parameters for the day with default value 1 and the year with default value 365 to initialise both attributes.
• an overloaded public constructor with three parameters for the day, month and year to initialise the day of the year. To simply calculate the day of the year use class attribute array days, e.g. for March 15th as day 74 (= 31+28+15 = 59+15).
• a public method named get_dayOfYear without parameters returning the value of the respective attribute.
• a public overloaded member operator ++ to increment a date exactly one day. Hint: after December 31st the day will be January 1st of the following year.
• a public friend overloaded input operator >> inputting a date in ISO format yyyy-mm-dd from a character input stream.
• a public friend output operator << outputting a date onto an output stream in ISO format yyyy-mm-dd (see examples below). Hint: the values for the month and day can be computed in the body from attributes dayOfYear using array days.

Subtask class Vehicle Define an abstract class with name Vehicle with following members:

• a private constant integer attribute named no for an identification number of the vehicle.
• a private C++ string attribute with name model.
• a private attribute with name price24h of data type float for the rental price of one day of the vehicle.
• a public constructor with an integer, a C++ string and a floating point number as parameters to initialise the three private attributes.
• a virtual destructor.
• two public methods with names get_no and get_model without parameters returning the values of the respective attributes.
• a public method with name get_price with an integer parameter for the number of rental days of the vehicle, which gets multiplied by the rental price of one day returned as function value.
• a public pure virtual method with name print without parameter and without return value.

Subtask class Rental Define a class for a rental with name Rental with following members:

• a private constant integer attribute with name no storing a unique reservation number for the rental.
• a private attribute with name from of above type DayOfYear storing the starting day of a rental.
• a private integer attribute with name days storing the number of rental days.
• a private C++ string attribute with name customer storing the renting person.
• a private static integer class variable with name last_no to generate a sequence of reservation numbers, which gets incremented each time a new object of this class is generated by the constructor and therefore can be used to automatically take care that all reservations/rentals get a unique identifying number. This class variable shall be defined and initialised outside of the class.
• a public constructor with a first string parameter for the renting person, a second parameter of type DayOfYear for the starting day of the rental and an integer default parameter for the number of rental days with a default value 1. Beside the initialisation of the attributes related to the respective parameters the attribute no shall get a new unique sequential number using last_no (starting with rental number 1).
• a public method with name get_days without parameter returning the value of the respective attribute.
• two public methods with names get_from and get_until without parameters returning the start and end/return date of the rental of type DayOfYear. (Hint: in the body call/use above defined increment operator ++ of class DayOfYear in a loop days times.)
• a public method with name print without parameter and without return type writing like in the examples below the start day of the rental, string "to", the end day of the rental, string ", rental no" and the reservation number as well as "for" and the renting person onto the standard character output stream.

Subtask class Schedule

Define a class with name Schedule for a rental reservation schedule for a vehicle with a maximum of one year ahead with following members:

• a private attribute with name vehicle of type pointer to Vehicle this schedule belongs to.
• a private array of 365 pointers of class Rental with name year used to store a pointer to an object of type Rental for every day a rental exists maximum one year ahead (from today; e.g. on September 25th a rental starting at August 2nd of the following year can be booked; the year can be ignored; rentals are not allowed longing more than 28 days).
• a private attribute with name next of type pointer to Schedule to set up a list of several to rent vehicles.
• a public constructor with a single parameter of type pointer to a Vehicle. to initialise the respective attribute. Pointer next and all pointers in array year shall be set to null pointers (no rentals ahead).
• a public method with name get_vehicle without parameter returning a pointer to the vehicle as function value.
• a public method with name get_next without parameter returning a pointer to the next schedule as function value.
• a public method with name set_next with a pointer of type Schedule as parameter assigning the respective attribute.
• a public method with name isFree with a date of type DayOfYear as first parameter as start day of a planned rental, an integer number of days as second parameter, how long the rental is planned, and a Boolen return value. In the body it shall be checked whether the whole time period will be free (return value true) or not (return value false).
• a public method with name book with a string for the renting person as first parameter, a date of type DayOfYear as second parameter for the start day of the rental, an integer number of days as third parameters, how long the rental is planned, and a floating point return value. In the body a new object of type Rental on the heap shall be generated and its address being stored in array year for each rental day in a loop (the index into the array for the start day of the rental can be calculated by sending a message get_dayOfYear() to the date object - don't forget to subtract 1). Return value shall be the price for this rental determined by a message get_price sent to the vehicle.
• a public method with name print with a date of type DayOfYear as parameter without return type, sending a message print to the vehicle and afterwards a message print to the reservation object - if it exists, i.e. it is not a null pointer - for this day in the respective array element (see examples below).
• a public method with name print without parameter and without return type, writing like in the example below a title "SCHEDULE", then sending a message print to the vehicle and afterwards printing all rentals for the vehicle stored in array year together with their prices- each rental for several days shall be written only once, not again und again for each rental day.

Subtask class Agency Define a class for the renting agency with name Agency with following members:

• a private attribute profitPercent of type float for the profit percentage of the agency for each rental.
• a private attribute profit of type float for the summed up profit of the agency.
• two private pointer attributes with name head and last of type Schedule as pointers to the first and the last element of a list of schedules for all the vehicles of the agency.
• a public standard constructor initialising the percentage of the profit to 20%, the profit to 0.00 EUR and the two pointers to null pointers.
• a public method with name get_profit without parameter returning the value of the respective attribute.
• a public method with name set_profitPercentage with a float parameter without return type assigning the value of the parameter to the respective attribute.
• a public method with name add with a pointer of type Vehicle as parameter without return type allocating a new object of type Schedule on heap for this vehicle and appending it at the end of the list.
• a protected method with name searchFor with an integer parameter and a pointer of type Schedule as return type searching in the list of schedules for the vehicle with the number given by the parameter and returning it.
• a public method with name isFree with a first integer parameter for a vehicle number, a date of type DayOfYear as second parameter as start day of a planned rental, an integer number of days as third parameter, how long the rental is planned, and a Boolen return type. The method shall check whether the vehicle will be free at the desired time period or not. Therefore send to the object of type Schedule, which is returned by the search function in the previous item, a message isFree and return its value.
• a public method with name book with a first integer parameter for a vehicle number, a string for the customer as second parameter, a date of type DayOfYearas third parameter as start day of a planned rental, an integer number of days as forth parameter, how long the rental is planned, and a float as return type. The method shall book the vehicle for the customer. Therefore send to the object of type Schedule, which is returned by the search function in the previous item, a message book. Calculate the profit by the profit percentage and the returned price value and add it to profit. Afterwards return the price.
• a public method with name chooseVehicle without parameter and an integer return type. In the body a list of the vehicles of all schedules shall be written onto standard character output stream, a vehicle number read from input and returned (see examples below). This functionality you can use later in function main in menue entry C.
• a public method with name print with a date of type DayOfYear as parameter without return type. It shall output all reservations of all schedules at this date (see examples below).
• a public method with name print without a parameter and without return type. It shall output all reservations of all schedules in the list as well as the value of profit (see examples below).

Subtask main

Define an object of class Agency and program a small menue inside a loop with in the example shown functionalities A to K for this object as given below. Define your classes and the functionalities of the menue entries step by step. Start for example with class DayOfYear, define two variables today and tomorrow and program first functionalities B, D and E (only output), then maybe G, H and I with the related classes, following e.g. C and F, and so on.