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Problem 5: (20pts) Given the list data structure which has the name Dormitory as described below. RoomoRoom 1Room 2Room 3 Type A Type B Type C Type D Dormitory No.No.No. 0No. 0 The declaration for Dormitory is as follows: list Dormitory; a) Declare 4 rooms which have the following information: Name: ROOM 0, type: A, no: 0 Name: ROOM 1, type: B, no:1 Name: ROOM 2, type: C, no: 2 Name: ROOM 3, type: D, no: 3 Information Declaration b) Write C++ code to add room O, room I, room 2, and room 3 to the Dormitory e) Write C++ code to display all the rooms of Dormitory on the screen d) Write a C++ code to insert the room 5 before the room 1 of Dormitory