Hey everyone! I'm hoping to get some help distinguishing between these questions related to AVL trees. At first glance, they seem quite similar, but I'm curious if there are key differences I need to be aware of. Here are the questions I have: 1. What is the complexity of ordered and unordered AVL trees, and can you prove it? 2. What is the worst time complexity for a sorted array in AVL trees? Please provide proof. 3. What about the worst time complexity for an unsorted array in AVL trees? Again, proof would be great. 4. Lastly, what is the complexity of built-in AVL trees versus B-trees and proof for that? Thanks for any insights!
1 Answer
Definitely, they're all related to AVL tree complexities. However, you can’t really answer the complexity of 'unordered AVL trees' simply because the concept doesn’t fully apply—AVL trees are inherently sorted. You should focus on time complexities for operations like insertion and deletion based on whether you’re dealing with ordered or unordered data inputs. Also, proving the worst-case complexity for inserting sorted versus unsorted arrays is a great approach!
Could you elaborate on the time complexities for the operations? I’m trying to figure out how to approach these proofs too.