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

18 - AVL Tree Rotations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the balance factor in AVL trees?

💡 Hint: It's related to the heights of current node's children.

Question 2 Easy

Define a left rotation.

💡 Hint: Think about which way the tree is rotating.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a balance factor of -2 indicate?

The left subtree is heavier
The right subtree is heavier
The tree is balanced

💡 Hint: Think about how height differences affect balance.

Question 2

When is a left rotation performed?

True
False

💡 Hint: Recall when imbalance necessitates rotative adjustments.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a series of values to insert into an AVL tree, demonstrate the rebalancing steps needed to maintain balance. List the rotations performed after each insertion.

💡 Hint: Refer to individual balance factors after each node is added to check for required rotations.

Challenge 2 Hard

Create a visual representation of an AVL tree before and after a series of rotations. What does this tell about the efficiency of AVL balancing relative to normal BSTs?

💡 Hint: Be attentive to height imbalances when comparing the two tree types.

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