Three students are competing for a scholarship of $4,000. Suppose the scholarship is awarded in a FCFS fashion. Each time each one can get 25% of the available fund. Use three threads to simulate this. Each thread should execute in a loop. When the fund runs out, stop all the threads and terminate the program. And then you add all the money given out, if the total does not add up to $4000, your program is not correct. a. Write the program without considering the mutual exclusion. Run the program several times to show that mutual exclusion is not guaranteed and the result is not correct. b. Write the program again considering the mutual exclusion. Run the program several times to show that mutual exclusion is guaranteed. To make longer execution of threads, use some sleep(n) functions in the program. Experiment with n to choose the best one to show the results. Example of an incorrect result: A=1000 B=750 C=750 B=375 A=375 ... Finally, the total money given out is not equal to $4000. Example of a correct result: A=1000 B=750 C=563 (round up to the ceiling of the number if the result is not an integer) A=422 C=317 B=237 A=178 A=134 B=100 C=75 B=56 C=42 A=32 C=24 B=18 C=13 C=10 A=8 C=6 B=4 A=3 A=2 B=2 C=1 B=1 C=1 A=1 Total given out: 4000 Submission: In order not to lose any files, you'd better zip all your files into a .zip file. Submit your project to TRACS. You should write a readme textfile telling the grader how to run your programs. Without this file, it is very likely that your project will not be run properly.