a) Write a C program to Implement a system of three processes which read and write numbers to a file. Each of the three processes P1, P2, and P3 must obtain an integer from the file (these instructions must be executed 200 times). The file only holds one integer at any given time. Given a file F, containing a single integer N, each process must perform the following steps (25 points): 1. Fork two processes For 200 times: 2. 3. 4. 5. 6. 6819 7. 8. 9. Open F Read the integer N from the file Close F Output N and the process' PID (On the screen) Increment N by 1 Open F Write N to F (overwriting the current value in F) Close F b) Briefly describe why the processes P1, P2, and P3 obtain/read duplicates of numbers (why does a particular integer x appear in the output of more than one process)? (3 points) c) Suggest a solution (you do not need to implement it) to guarantee that no duplicate numbers are ever obtained by the processes. In other words, each time the file is read by any process, that process reads a distinct integer. (2 points)