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  1. This programming exercise involves writing software to help with the task of timetabling courses for a fictitious university. The mathematics department at UWGC offers 24 modules with codes A1..A8; B1..B8 and C1..C8. It has five classrooms for its exclusive use: rooms 1 and 2 have 20 seats, room 3 has 30 and rooms 4 and 5 can each take 50 students. Classes can be scheduled to begin on the hour from 9.00 till 16.00 each day of the week (except Wednesday when the last class is at 12.00). The timetabler needs software to perform the following tasks: • to print the current state of the timetable • to answer a query about the usage of a given slot (i.e. room, day and time) • to list which rooms are free at a given day and time • to list the timetabled hours for any given course • to allow the current state of the timetable to be changed by adding a module code in a free timetable slot and/or deleting a course from an existing slot When adding a module code in a slot, the software must check that the slot is actually free and also make some tests on room size and possible timetable clashes. (i) All ’A’ classes have 25 students (ii) Classes B1..B6 have 15 students while B7 and B8 have 35 (iii) All ’C’ classes have at most 10 students (iv) Courses B7 and B8 cannot run simultaneously If the timetabler attempts to schedule a class which violates one or more of these rules, the software should not accept it and print a warning message instead. The software is to be menu-driven – that is, it should offer choices Display a timetable (1) Check a timetable slot (2) Check free rooms at a given day and time (3) Check timetabled slots for a given course (4) Release a slot (5) Allocate a slot (6) Your solution must be implemented in terms of two-dimensional arrays. That is the variable mon (i,j) should hold the module code of the class to be held on a Monday in room i( 1 < i < 5) at time j(9<j<16) (If no class is scheduled then mon(i,j) could have a default value such as ’--’.) Your solution must use function subprograms and/or subroutines – i.e., it is not to consist of a single main program. For instance, the tests on room size ((i) - (iii), The code must include comments which help a user understand how to work with the software. In addition to your code you must hand in sample output listings which show that you have tested all the features of the program. It is advisable to build your software solution in stages – that is, to write and test the program and subprograms for displaying the current timetable; then to add (and test) further code for checking usage of a particular slot; and so on for all menu options. My current coding FUNCTION room_ok(K, M) INTEGER :: K ! room number CHARACTER(LEN=2) :: M ! module code LOGICAL :: room_ok ! room_ok is returned as T if the number of seats in room K ! does not exceed the number of students on module M ! Otherwise it is returned as F PROGRAM timetable IMPLICIT NONE CHARACTER(LEN=2), DIMENSION(1:5,9:16) :: mon, tue, wed, thu, fri INTEGER, DIMENSION(1:5) :: roomsize CHARACTER(LEN=2) :: mc CHARACTER(LEN=3) :: day INTEGER :: choice, room, hour ! Initialise room data roomsize(1) = 20; roomsize(2) = 20; roomsize(3) = 30 roomsize(4) = 50; roomsize(5) = 50 ! Initialise empty timetable mon = ’--’; tue = ’--’; wed = ’--’; thu = ’--’; fri = ’--’ ! non-trivial entries for testing mon(2,10) = ’A4’; tue(3,12) = ’A4’; wed(4,16) = ’B6’ DO CALL Menu READ*,choice SELECT CASE (choice) CASE (1) ! Prints timetable for one day PRINT"(’Which day (Mon - Fri)?’)": READ*,day CALL Print_day(day) ... CONTAINS SUBROUTINE Menu ! prints option choices PRINT"(/,’**** UWGC Timetable wizard ****’)" PRINT"(’OPTIONS:’)" PRINT"(’Display a timetable (1)’)" PRINT"(’Check a timetable slot (2)’)" PRINT"(’Check free rooms at a given day and time (3)’)" PRINT"(’Check timetabled slots for a given course (4)’)" PRINT"(’Release a slot (5)’)" PRINT"(’Allocate a slot (6)’)" END SUBROUTINE Menu SUBROUTINE Print_day(day) ! Prints timetable for day specified CHARACTER(LEN=3), INTENT(in) :: day SELECT CASE(day) CASE(’Mon’) CALL Print_times(mon) CASE(’Tue’) CALL Print_times(tue) CASE(’Wed’) CALL Print_times(wed) CASE(’Thu’) CALL Print_times(thu) CASE(’Fri’) CALL Print_times(fri) CASE default PRINT"(’Invalid day!’)" END SELECT END SUBROUTINE Print_day Any help with the rest of the coding is appreciated, having difficulty from this point on.