Practice Single Rotation - 17.2.1 | 17. Balanced Search Trees | Design & Analysis of Algorithms - Vol 2
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Single Rotation

17.2.1 - Single Rotation

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define an AVL tree.

💡 Hint: Consider the properties that make it 'balanced'.

Question 2 Easy

What is the significance of the balance factor in AVL trees?

💡 Hint: Think about how height differences affect tree operations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the maximum height difference allowed in an AVL tree?

0
1
2
3

💡 Hint: Think about the balance condition discussed.

Question 2

After a left-heavy tree insertion, which type of rotation is needed?

Left Rotation
Right Rotation
No Rotation
Rebalance

💡 Hint: Consider the direction of imbalance.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given an AVL tree that has become unbalanced after several insertions, describe the process of identifying which rotations to perform to restore balance.

💡 Hint: Evaluate the height differences carefully to make an informed decision.

Challenge 2 Hard

Construct an AVL tree by inserting the following sequence of numbers: 30, 20, 40, 10, 25, 22. Illustrate each step including any necessary rotations.

💡 Hint: Keep track of height after each insertion to visualize balance.

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