Write a program in C, C++, or java that implements the FIFO, LRU, and Optimal page replacement algorithms presented in chapter 8 of your text. First generate a random page-reference string (this should be 20 entries long) where page numbers range from 0 to 9. Apply the random page-reference string to each algorithm, and record the number of page faults incurred by each algorithm. Implement the replacement algorithms so that the number of page frames goes from 1 to 7 and you must compute the page fault for each of these frame numbers. Record the number of page faults with each of these different page frames numbers and each of the different algorithms. Assume that demand paging is used. Remember to count the first time a page comes in, as this is a page fault in demand paging.

Then do the same procedure, except use the following page-reference string instead of the random one:

0,7,1,1,2,0,8,9,0,3,0,4,5,6,7,0,8,9,1,2 and then lastly do it with the page-reference string: 7,0,1,2,0,3,0,4,2,3,0,3,2,1,2,0,1,7,0,1

Have separate clearly marked classes or methods for LRU, FIFO, and Optimal replacement algorithms. Also have comments within your code.

Your output should be in the following format (repeated seven times, one for each number of page frames, and the set of seven repeated three times, one for each of the three page-reference strings):

For x page frames, and using string page reference string nnnnnnnnnnnnnn:

FIFO had ### page faults.

LRU had ### page faults.

Optimal had ### page faults.

Where ### is the number of page faults, x is the number of page frames, and nnnnnn is the page-reference string.