Practice Height-Balanced Trees - 17.1.3 | 17. Balanced Search Trees | Design & Analysis of Algorithms - Vol 2
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Height-Balanced Trees

17.1.3 - Height-Balanced Trees

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define an AVL tree.

💡 Hint: Think about the balance criteria for the tree.

Question 2 Easy

What happens when a node is added to an AVL tree?

💡 Hint: Consider the condition for rotations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the maximum height difference in an AVL tree?

0
1
2
3

💡 Hint: Recall the balance criterion for AVL trees.

Question 2

True or False: A tree can be an AVL tree if the height difference between subtrees is 2.

True
False

💡 Hint: Think about the definition of an AVL tree.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a series of insertions into an AVL tree (e.g., 10, 20, 30, 25), demonstrate the steps taken during each insertion, including any rotations.

💡 Hint: Draw each insertion step to visualize the changes.

Challenge 2 Hard

Describe the difference in insertion steps between a regular BST and an AVL tree using examples.

💡 Hint: Think of a scenario where an AVL tree becomes unbalanced.

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