What is the complexity of LRU?

Can you explain the complexity of the LRU caching algorithm?

Sure! The time complexity of the LRU (Least Recently Used) algorithm is typically O(1) for both insertions and deletions when implemented with a hash map and a doubly linked list.

Why is it O(1)? Can you break that down?

Absolutely! The hash map allows for O(1) access to cache items, while the doubly linked list enables O(1) insertions and deletions of nodes, which represent the cache entries.

What happens if we use a different data structure?

If you use a different data structure, like an array, the complexity can increase to O(n) for operations like searching or deleting, which would make the LRU algorithm less efficient.

Are there any trade-offs with using LRU?

Yes, while LRU is efficient, it can consume more memory due to the need for additional data structures, and it may not perform well with certain access patterns.