Implement a solution to the Reader$-$Writer problem with password authentication using threads and semaphores in C programming language on a Linux platform. The program should create two types of threads: reader and writer. Each thread must acquire a unique password from a table to access the database $($a global variable BUFFER$).$ There can be a minimum of $1$ and a maximum of $9$ readers$/$writers$.$ So$,$ any combination of readers and writers is possible, such as $(1,1),(1,2)...(1,9),(2,1)...(9,1),...,$ or $(5,5).$ The writers can write a random number in the range $0-9999$ to BUFFER, each time it has access to it$.$ Let each writer$/$reader sleep $1$ second before consecutive writing$/$reading$.$ The password table is filled with $10$ random $6-$digit numbers before use, in the main process. Each reader$/$writer is allocated a unique password from the table. The shared resource $($BUFFER$)$ should only be accessible after being checked for the password. Furthermore, create equal number of dummy readers and writers with random passwords, not included in the password table. For example, if there are $2$ readers and $3$ writers, there will be $2$ dummy readers and $3$ dummy writers. Ensure exclusive access to the password file to prevent race conditions and duplicate passwords. Ensure that readers can access the resource simultaneously with the correct password without interfering with each other. Ensure that writers have exclusive access to the resource with the correct password, preventing simultaneous access by readers or other writers.

Part of Sample Run:

Number of readers: $4$

Number of writers: $6$

Thread No Validity$($real$/$dummy$)$ Role$($reader$/$writer$)$ Value read$/$written

$1$ real reader $0$

$1$ dummy reader No permission

$2$ real reader $0$

$2$ dummy reader No permission

$3$ real reader $0$

$3$ dummy reader No permission

$4$ real reader $0$

$4$ dummy reader No permission

$1$ real writer $979$

$1$ dummy writer No permission

$2$ real writer $4793$

$3$ real writer $7455$

$2$ dummy writer No permission

$3$ dummy writer No permission

$4$ real writer $4454$

$4$ dummy writer No permission

$5$ dummy writer No permission

$5$ real writer $1250$

$6$ real writer $3857$

$6$ dummy writer No permission

$1$ real reader $979$

$2$ real reader $4793$

$3$ real reader $7455$

$4$ real reader $4454$

$1$ dummy reader No permission

$2$ dummy reader No permission

$3$ dummy reader No permission

$4$ dummy reader No permission

$1$ real writer $1160$

$1$ dummy writer No permission

$2$ real writer $1658$

$3$ real writer $1691$

$2$ dummy writer No permission

$3$ dummy writer No permission

$4$ real writer $7238$

$4$ dummy writer No permission

$5$ dummy writer No permission

$5$ real writer $6350$

$6$ real writer $5839$

$6$ dummy writer No permission

$1$ real reader $1160$

$2$ real reader $1658$

$3$ real reader $1691$

$4$ real reader $7238$

$2$ dummy reader No permission

$3$ dummy reader No permission

$4$ dummy reader No permission