Problem 4

Analyze the booking data of a hotel.

The data is given as: * The room number, * The beginning of the booking interval (as an integer, the day of year), * Tne end of the booking interval (as an integer, the day of year), * The price of the room per day, * The price discount (as a floating point number between 0 and 100).

All bookings start and end in the same year.

The program answers the following questions: * Which room was booked the most frequently? (as number of bookings) * Which room was booked the longest (as number of days) * Which room brought in the most revenue? * What is the total revenue of the hotel for the year?

Classes:

Entry(room_number, start, end, ...)

Represent an entry in the booking data.

Functions:

most_booked_room(entries)	Find the number of the most booked room in the entries.
longest_booked_room(entries)	Find the room booked for the longest accumulated time according to entries.
room_with_most_revenue(entries)	Find the room which brought in the most revenue according to entries.
total_revenue(entries)	Compute the total revenue of the hotel based on entries.

class Entry(room_number: int, start: int, end: int, price_per_day: float, price_discount: float)

Represent an entry in the booking data.

Methods:

__init__(room_number, start, end, ...)	Initialize with the given values.
duration()	Compute the duration of the stay.
__repr__()	Return repr(self).

__init__(room_number: int, start: int, end: int, price_per_day: float, price_discount: float) → None

Initialize with the given values.

Requires

• not math.isnan(price_per_day) and price_per_day < 1e300

  (Reasonable bounds to avoid NaN’s and inf’s)

• not math.isnan(price_discount) and price_discount < 1e300

  (Reasonable bounds to avoid NaN’s and inf’s)

• 0 <= price_discount <= 100

  (The price discount is given as a percentage.)

• price_per_day > 0

• start <= end

  (The start and end must occur in the same year)

• 1 <= end <= 366

  (The end denotes the day of year.)

• 1 <= start <= 366

  (The start denotes the day of year.)

• room_number > 0

duration() → int

Compute the duration of the stay.

Ensures

• result > 0

__repr__() → str

Return repr(self).

most_booked_room(entries: List[Entry]) → int

Find the number of the most booked room in the entries.

Requires

• len(entries) > 0

Ensures

• result in {entry.room_number for entry in entries}

longest_booked_room(entries: Collection[Entry]) → int

Find the room booked for the longest accumulated time according to entries.

Requires

• len(entries) > 0

Ensures

• result in {entry.room_number for entry in entries}

room_with_most_revenue(entries: Collection[Entry]) → int

Find the room which brought in the most revenue according to entries.

Requires

• len(entries) > 0

Ensures

• result in {entry.room_number for entry in entries}

total_revenue(entries: Collection[Entry]) → float

Compute the total revenue of the hotel based on entries.

Requires

• len(entries) > 0

Ensures

• result >= 0