Final answer:
The problem requires implementing the LRU, FIFO, and Optimal replacement algorithms on a 3-line cache and calculating the hit and miss ratios.
Step-by-step explanation:
The given problem requires implementing three different replacement algorithms (LRU, FIFO, and Optimal) on a cache with 3 lines. The dataset consists of a sequence of numbers, and the goal is to determine the hit ratio and miss ratio for each algorithm.
The LRU (Least Recently Used) algorithm replaces the element in the cache that has not been used for the longest time. The FIFO (First-In-First-Out) algorithm replaces the element that has been in the cache for the longest time. The Optimal algorithm replaces the element that will not be used for the longest time in the future.
To perform the algorithms, we can simulate the cache and track the number of hits and misses for each algorithm. The hit ratio is the ratio of hits to the total number of memory accesses, and the miss ratio is the ratio of misses to the total number of memory accesses.