Homework $4$ Banker$$s algorithm

Implement the Banker's algorithm for deadlock avoidance, with a given set of N processes

$($N$<10,$ processes are P$1,$ P$2,...,$ PN$)$ and M resource types $($M$<10,$ resources are R$1,$ R$2,...,$ RM$).$ Use Java or

C$/$C$++$ for the implementation, with a simple interface, where the user only supplies the name of the

input file $($text file, say $$input$.$txt$).$ The program reads all the necessary input data from that file. You

are free to choose the format of the input file, just make sure it contains all the necessary data. The

input data and the result of the algorithm must be displayed on the screen.

The pseudo code for the Greedy version for the Banker$$s algorithm can be found in this module$$s

Commentary. We know that this algorithm only finds ONE solution $($safe sequence of processes$)$

assuming there is one; otherwise reports there is no solution.

You must adjust this algorithm to find exactly TWO solutions instead of just one $($assuming of course

there are at least two solutions$).$ If the algorithm only has one solution this must be reported as such

and the single solution must be displayed.

To resume, there are only three possible scenarios, for a correct input file:

$1.$ There is no solution $($no safe sequence$).$ The program must report there is no solution.

$2.$ There is EXACTLY ONE solution $($safe sequence$).$ The program must report there is exactly one

solution. The solution must be displayed on screen.

$3.$ There are TWO OR MORE solutions $($safe sequences$).$ The program must find EXACTLY TWO

solutions. The solutions must be displayed on screen. If there are more than two solutions, it

doesn$$t matter which ones are found, as long as they are exactly two.

Note $1$: the solution must be based on the Greedy version for the Banker$$s algorithm; in particular, using

an approach for finding ALL solutions and then keeping and reporting just two of them is NOT allowed.

Note $2$: The input file may be incorrect, for various reasons. This must be checked and reported by your

program before any attempt of finding a solution.

HINTS:

$-$ The input files should start with N and M$,$ then the necessary matrices