Write a C program, which demonstrates interprocess communicationIPC between three processes using pipes. Your program as the parent process should create two child

processes and utilize four pipes, establishing a multi$-$directional communication as shown in the figure below:

Note that unnecessary pipe ends must be closed to prevent improper pipe usage. Each pipe needs one write

one read end to remain open for two way communication.

The parent process should read a filename as a command line argument $($so that different files can be used on

each execution$).$ Each file should have an unspecified number of random integers. The parent process P$1$

should read integers and send to BOTH child processes one by one.

$$ P$2$ receives the integers one by one, categorizes each integer according to number of digits. For

readability, implement a function named $$int nrDigits$($int$)$ to do this. You may assume integer

numbers in the test files be between $0$ and $99999.$ Count the number of integers received according

to the number of digits.

$$ P$3$ receives the integers one by one, computes the number of prime integers received. Implement a

function named $$int isPrime$($int$)$ to do this.

When P$2$ and P$3$ have finished their jobs, they must submit back the results they have computed back

to the parent process and terminate.

Parent process P$1,$ after receiving results from P$2$ and P$3$ should print a nicely formatted output as

given in the following example and should terminate

Sample Output for $3$ input files

$ $./$homework$1$ numbers.txt $ $./$homework$1$ numbers$2.$txt $ $./$homework$1$ numbers$3.$txt

Input file: numbers.txt Input file: numbers$2.$txt Input file: numbers$3.$txt

$1$ digits $-01$ digits $-61$ digits $-0$

$2$ digits $-42$ digits $622$ digits $-0$

$3$ digits $-213$ digits $5293$ digits $-10$

$4$ digits $-2834$ digits $48754$ digits $58$

$5$ digits $-6925$ digits $-130265$ digits $-182$

Primes $-108$ Primes $-1986$ Primes $-34$

Nonprimes $-892$ Nonprimes $16514$ Nonprimes $216$