Practice AVL Trees - 17.1.4 | 17. Balanced Search Trees | Design & Analysis of Algorithms - Vol 2
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AVL Trees

17.1.4 - AVL Trees

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the balance factor of a node with left height 3 and right height 2?

💡 Hint: Balance factor is calculated as left height minus right height.

Question 2 Easy

Name one operation that can be performed to maintain AVL tree balance.

💡 Hint: Think of how we change tree structure.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines an AVL tree?

A tree that is completely filled on all levels
A tree where left and right heights differ by at most 1
A tree that allows duplicates

💡 Hint: Think about what it means for trees to be balanced.

Question 2

True or False: An AVL tree can have a balance factor of 2.

True
False

💡 Hint: Remember the balance definition in AVL trees.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a balanced AVL tree and explain each step performed during insertions and any rotations applied.

💡 Hint: Keep track of the balance factors after each insertion.

Challenge 2 Hard

Consider a deletion in an AVL tree. Explain how you can determine if a tree is still balanced after an element is removed.

💡 Hint: How do heights change from a deletion action?

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Reference links

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