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Recursive Backtracking

You are to implement a program that can find an assignment of exams to rooms without

conflicts using recursive backtracking. Other solutions will not be accepted. You must not use

built$-$in containers other than Python lists.

Each room can be assigned only one exam at a time. An exam can be assigned to a room only

during its hours of availability. The exams assigned to the same room must not have conflicting

times.

Your solution must contain the following functions:

The main$()$ function asks the user for two lines of input and launches the solver. The first

is the name of the csv file containing the exams $($name$,$ start time, end time$),$ and the

second is the name of the csv file containing the rooms $($name$,$ availability start time,

availability end time$).$

The tester$()$ function will run the solver on all the files provided with the assignment and

report back with a schedule or a message indicating that no schedule is possible. To

ensure your output is easy to read, add headers indicating which files are being used.

Create a Schedule class, a Time class, and a Timelnterval class.

The Schedule class will represent the schedule and perform the necessary tasks, such as reading

the files, storing the data structures in the object, returning a string representation of a

schedule, and finding a solution.

The Time class will represent a time on the $24-$hour clock. The constructor will take a string of

the format $\text{'}$hh:mm$\text{'}$ and extract the hour and the minute. Your class must allow for Time objects

to be printed and compared using $,.$

The Timelnterval will represent a time interval between a start time and an end time, both

being Time objects. It must also provide two methods: disjoint$($other$)$ and contain$($other$).$ The

method disjoint will return True if the Timelnterval objects are disjoint and False otherwise. For

example, the time intervals $12$:$40-13$:$50$ and $12$:$20-14$:$50$ are not disjoint, and the time intervals

$12$:$40-13$:$50$ and $13$:$50-14$:$50$ are disjoint. The method contain will return True if self

Timelnterval object contains the other Timelnterval object and False otherwise. For example,

the time interval $12$:$40-13$:$50$ contains itself and the time interval $12$:$50-13$:$10.$ Your class must

allow for Timelnterval objects to be printed.