Class MyList given below uses a binary Semaphore to make the methods set and inc thread safe. The solution uses coarse$-$grained synchronization. Re$-$write the class using semaphores to provide a fine$-$grained synchronized solution that makes the class thread safe.

class MyList$\{$

private int$[]$ list $=$ new int$[100]$;

private Semaphore lock $=$ new Semaphore$(1)$; MyList$()\{$

for$($int j $=0$; j $<100$; j$++)$ list$[$j$]=($int$)($Math$.$random$()*100)$; $\}$

public void set$($int x$,$ int ind$)\{//$assume $0<=$ ind $<100$ try$\{$lock$.$acquire$()$;$\}$

catch$($InterruptedException e$)\{\}$ list$[$ind$]=$ x;

lock.release$()$;

$\}$

public void inc$($int x$,$ int ind$)\{//$assume $0<=$ ind $<100$

try$\{$lock$.$acquire$()$;$\}$ catch$($InterruptedException e$)\{\}$ list$[$ind$]+=$ x;

lock.release$()$;

$\}$