We can think that the virtual memory is the hard disk and the main memory is the RAM in PC. Assume that the virtual memory has 5 to 9 pages and the main memory has 3 to 5 frames. The frame size is the same as page size. The size can be any reasonable kilobytes, say, 16 Kbytes or 64 Kbytes. Modify your last week's lab and simulate LRU page replacement algorithm.

In the program:

Prompt the user to enter the number of pages (5 to 9)

Prompt the user to enter the number of frames (3 to 5)

Prompt the user to enter the page reference string. Spaces are used to separate the page numbers referenced by the processes.

Implement the LRU page replacement algorithm. Your program should cover a few situations:

Pure page demanding (at least one frame is left in the main memory, occurs initially)

The page requested is already in one of the frames in the main memory (requested before and not replaced yet)

The page is not in the main memory and the LRU page among all will be replaced

Display all frame replacements sequence

Calculate and display the number of page faults

Run the LRU program to generate five outputs using the same five input sets you used in Lab 5 for FIFO algorithm.