In an AVL tree, what is the maximum height difference between the left and right
Practice Questions
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In an AVL tree, what is the maximum height difference between the left and right subtrees of any node?
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Questions & Step-by-Step Solutions
In an AVL tree, what is the maximum height difference between the left and right subtrees of any node?
Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains balance.
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: Define 'height difference'. The height difference is the difference in height between the left and right subtrees of a node.
Step 5: Remember the AVL tree property. In an AVL tree, the height difference (also called the balance factor) must be at most 1.
Step 6: Conclude that this means the left subtree can be 1 height more than the right subtree, the right can be 1 height more than the left, or they can be equal.
