Given that main memory is composed of three$-$page frames for public use, and that a program requests pages in the following order: a$,$ b$,$ a$,$ b$,$ e$,$ d$,$ e$,$ c$,$ g$,$ e$,$ g$,$ b$,$ d$,$ f answer the following questions. Show all work.a$.$Using the FIFO page removal algorithm, perform a page trace analysis indicating page faults with asterisks $(*).$ Then compute the failure and success ratios.