Practice Summary of AVL Tree Operations - 18.8 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Summary of AVL Tree Operations

18.8 - Summary of AVL Tree Operations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the balance factor of a node with height 3 on the left and height 1 on the right?

💡 Hint: Remember balance factor = height of left - height of right.

Question 2 Easy

What type of rotation is performed for a balance factor of +2?

💡 Hint: What action is taken to balance the tree?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the resulting balance factor of a node where the left height is 4 and the right height is 2?

-2
2
0

💡 Hint: Calculate using the difference of heights.

Question 2

True or False: The AVL tree guarantees that the tree remains perfectly balanced at all times.

True
False

💡 Hint: Consider what balance factors allow.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the sequence of integers 10, 20, 30, 40, 50, insert them into an AVL tree and show the necessary rotations.

💡 Hint: Draw the tree after each insertion.

Challenge 2 Hard

After deleting a node from an AVL tree, describe how you would recheck the balance and what steps would follow for rebalance.

💡 Hint: Follow the rebalancing procedures you learned.

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Reference links

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