What is the primary advantage of using AVL trees over regular binary search tree
Practice Questions
Q1
What is the primary advantage of using AVL trees over regular binary search trees?
They allow duplicate values.
They are always balanced.
They require less memory.
They are easier to implement.
Questions & Step-by-Step Solutions
What is the primary advantage of using AVL trees over regular binary search trees?
Step 1: Understand what a binary search tree (BST) is. A BST is a data structure that stores values in a way that for any given node, values in the left subtree are smaller and values in the right subtree are larger.
Step 2: Know that in a regular BST, the tree can become unbalanced. This means that some operations like searching for a value can take longer, especially if the tree looks like a straight line (like a linked list).
Step 3: Learn about AVL trees. An AVL tree is a type of binary search tree that automatically keeps itself balanced after every insertion or deletion.
Step 4: Realize that because AVL trees are balanced, they ensure that the height of the tree is kept to a minimum. This allows operations like search, insert, and delete to be performed more quickly.
Step 5: Conclude that the primary advantage of using AVL trees over regular binary search trees is that AVL trees maintain a strict balance, ensuring that operations are performed in O(log n) time, which is faster than in an unbalanced BST.
