Practice Case Analysis for Rebalancing - 17.1.6 | 17. Balanced Search Trees | Design & Analysis of Algorithms - Vol 2
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17.1.6 - Case Analysis for Rebalancing

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the height of a tree with only a root node?

💡 Hint: Consider how we measure height in terms of nodes.

Question 2

Easy

What is an AVL tree?

💡 Hint: Think about what properties an AVL tree has.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What must be the maximum height difference between left and right children in an AVL tree?

  • 0
  • 1
  • 2

💡 Hint: Think about the conditions that define an AVL tree.

Question 2

True or False: AVL trees can become very unbalanced after any insertion or deletion if not rebalanced immediately.

  • True
  • False

💡 Hint: Remember the operations that can disturb the balance.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a series of insertions into an AVL tree, illustrate the tree after each insertion and indicate any necessary rotations. Start with an empty tree and insert the values: 10, 20, 30, 25, 22.

💡 Hint: Keep track of the slopes after each insertion.

Question 2

You have a balanced AVL tree. Describe the steps you would take to delete a node that causes an imbalance, ensuring to maintain the AVL property afterward.

💡 Hint: Consider the case of a node deletion affecting the height balance throughout the tree.

Challenge and get performance evaluation