We will write a C program using threads and semaphores to implement critical sections. There's a shell script file$($new$.$sh$)$ that will create a new directory and fill it with $20-30$ files, each containing $1000$ random integers. We must design a program to accept two parameters from the command line, the directory containing generated txt files $($myDir$)$ and the number of simultaneously active threads$($ threadNumber$).$ The program aims to use threads to compute the number of prime numbers in each file and print thread by thread. The number of active threads at a time is to be limited to threadNumber.

Use a semaphore $($mutex$)$ to limit the number of simultaneously active threads $($threadNumber$).$ Create threads whenever an active thread terminates.

This is file$3.$txt for example:

$12544$

$24616$

$22273$

$3943$

$7355$

$7340$

$4708$

$16990$

$9518$

$6003$

$10807$

$15770$

$16764$

$26935$

$15964$

The program is to use threads to compute the number of prime numbers in EACH file and print thread by thread with the threadNumber we specify from the command line. For example, let's assume we have $25$ random files and we test with $5(5$ active threads$),$ the output will be as follows;

Thread $1$ has found $6454$ primes in file$1.$txt

$...$

Thread $5$ has found $23935$ primes in file$2.$txt

Please write the program in C$.$