A university computer science department has a teaching assistant $($TA$)$ who helps undergraduate students with their programming assignments. The TA$$s office is rather small and has room for only one desk with a chair and computer. There are certain amount of chairs in the hallway outside the office where students can sit and wait if the TA is currently helping another student. When there are no students who need help, the TA sits at the desk and takes a nap. If a student arrives and finds the TA sleeping, the student must awaken the TA to ask for help. If a student arrives and finds the TA currently helping another student, the student sits on one of the chairs in the hallway and waits. If no chairs are available, the student will come back at a later time. Using threads, implement a solution that coordinates the activities of the TA and the students. Details for this assignment are provided below.

The Students and the TA Using threads begin by creating n students. Each will run as a separate thread. The TA will run as a separate thread as well. Student threads will seek help from the TA and terminate after being helped twice by the TA$.$ After all student threads terminate, the main program cancels the TA$$s thread by calling pthread$\_$cancel$()$ and then entire program terminates.

If the TA is available, they will obtain help. Otherwise, they will either sit on a chair in the hallway or$,$ if no chairs are available, will seek help at a later time $($random period of time$).$ If a student arrives and notices that the TA is sleeping, the student must notify the TA$.$ When the TA finishes helping a student, the TA must check to see if there are students waiting for help in the hallway. If so$,$ the TA must help each of these students in turn. If no students are present, the TA may return to napping. Simulating the TA providing help to a student is to have the appropriate threads sleep for a random period of time. Use only one lock $($pthread$\_$mutex$\_$t$)$ and as many conditionals $($pthread$\_$cond$\_$t$)$ as needed.

Command Line Inputs: $./$a$.$exe