How do AVL trees work?
An example of an AI chatbot conversation about AVL trees and their balancing properties.
Can you explain how AVL trees work?
Sure! AVL trees are a type of self-balancing binary search tree. They maintain their balance by ensuring that the heights of the two child subtrees of any node differ by no more than one.
What happens when an AVL tree becomes unbalanced?
When an AVL tree becomes unbalanced, it performs rotations to restore balance. There are four types of rotations: left, right, left-right, and right-left.
Can you give me an example of how a rotation works?
Absolutely! For instance, if a node is added to the right subtree of the right child, a left rotation on the unbalanced node will restore balance.
Are there any advantages of using AVL trees over regular binary trees?
Yes, AVL trees provide faster lookups compared to regular binary trees because they are always balanced, ensuring O(log n) time complexity for search operations.
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