Practice Handling Nodes with Height -2 - 18.4 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Handling Nodes with Height -2

18.4 - Handling Nodes with Height -2

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does it mean for a node to have a height of -2?

💡 Hint: Think about the height difference.

Question 2 Easy

Name one operation you can perform to fix a height -2 situation.

💡 Hint: What structural change helps to balance the tree?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What indicates a height of -2 in an AVL Tree?

The left subtree is taller
The right subtree is taller
Both subtrees are equal

💡 Hint: Visualize the balance of the tree.

Question 2

A left rotation is required if the left child slope is what?

True
False

💡 Hint: Revisit how rotations work with slopes.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given an AVL tree structure that becomes imbalanced after multiple insertions, outline the step-by-step process required to identify, rotate, and update heights for all affected nodes.

💡 Hint: Start tracing from the root of the tree down to all modified paths.

Challenge 2 Hard

Explain two cases when the height of -2 occurs and detail how you would correct each scenario with rotations.

💡 Hint: Think about which subtree's balance is being affected before you apply operations.

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