What is the main advantage of using an AVL tree over a regular binary search tre
Practice Questions
Q1
What is the main advantage of using an AVL tree over a regular binary search tree?
AVL trees are easier to implement
AVL trees are always balanced, ensuring O(log n) height
AVL trees require less memory
AVL trees can store duplicate values
Questions & Step-by-Step Solutions
What is the main advantage of using an AVL tree over a regular binary search tree?
Step 1: Understand what a binary search tree (BST) is. A BST is a tree structure where each node has at most two children, and the left child is less than the parent, while the right child is greater.
Step 2: Know that in a regular BST, the height can become very tall if nodes are added in a sorted order. This can make searching for a value slow.
Step 3: Learn about AVL trees. An AVL tree is a type of self-balancing binary search tree.
Step 4: Understand that AVL trees keep their height balanced by ensuring that the difference in height between the left and right subtrees is at most 1.
Step 5: Realize that because AVL trees are balanced, their height is always O(log n), where n is the number of nodes in the tree.
Step 6: Conclude that the main advantage of using an AVL tree over a regular BST is that AVL trees guarantee faster search, insert, and delete operations due to their balanced height.
