Practice Handling Nodes with Height +2 - 18.3 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Handling Nodes with Height +2

18.3 - Handling Nodes with Height +2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What indicates a height imbalance of +2 at a node?

💡 Hint: Think about the heights of both subtrees.

Question 2 Easy

What is a rotation in the context of binary trees?

💡 Hint: Consider what happens to the structure of the tree during rotation.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a height of +2 in a binary tree node indicate?

A balanced tree
A right-heavy imbalance
Left-heavy balance

💡 Hint: Think about what balance means for each subtree.

Question 2

True or False: A single rotation can fix any height imbalance.

True
False

💡 Hint: Consider the complexity of imbalances.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are given an unbalanced binary tree where a node has a height of +3. Describe the steps to rebalance this tree using rotations.

💡 Hint: Consider the roles every node plays in a binary tree.

Challenge 2 Hard

Design an algorithm in pseudo-code for inserting a node into an AVL tree while ensuring rebalancing through rotations.

💡 Hint: Think about how the insertion affects the tree balance and the corresponding rebalancing operations after every insertion.

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