Given that main memory is composed of only three page frames for public use, and that a seven-page program (with pages a, b, c, d, e, f, g) requests pages in the following order: a, b, c, b, d, a, e, f, b, e, d, f answer the following questions. a. Using the LRU page removal algorithm, indicate the movement of the pages into and out of the available page frames (called a page trace analysis), indicating each page fault with an asterisk (*). Then compute the failure ratio and success ratio. b. Using LRU again, increase the size of memory so that it contains four page frames for public use. Using the same page requests as above, do another page trace analysis and compute the failure and success ratios. c. What general statement can you make from this example? Explain your answer.