Consider the following code:

$1$ int child $=$ fork$()$;

$2$ int c $=5$

$3$ if $($child $==0)\{$

$4$ c $+=5$;

$5\}$ else $\{$

$6$ child $=$ fork$()$;

$7$ c $+=10$

$8$ if $($child$)\{$

$9$ c $+=10$;

$10\}$

$11\}$

$($a$)$ Including the initial parent process, how many processes are created by this program?$($b$)$ In each of process, what is the final value of variable c$?($c$)$ Suppose a program calls fork$()$ n times. Proof: Including the initial parent process, there will be$2$n processes in total.