What is the maximum height difference between the left and right subtrees in an AVL tree?
Practice Questions
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What is the maximum height difference between the left and right subtrees in an AVL tree?
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In an AVL tree, the maximum height difference between the left and right subtrees of any node is 1 to maintain balance.
Questions & Step-by-step Solutions
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Q
Q: What is the maximum height difference between the left and right subtrees in an AVL tree?
Solution: In an AVL tree, the maximum height difference between the left and right subtrees of any node is 1 to maintain balance.
Steps: 5
Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that keeps itself balanced.
Step 2: Know what 'height' means. The height of a tree is the number of edges on the longest path from the root to a leaf.
Step 3: Learn about subtrees. Each node in a tree can have a left subtree and a right subtree.
Step 4: Focus on balance. An AVL tree maintains balance by ensuring that the height difference between the left and right subtrees of any node is limited.
Step 5: Identify the maximum height difference. In an AVL tree, this maximum height difference is 1. This means the left subtree can be one level taller than the right subtree, or vice versa, but not more.