Practice Notions of Balance - 17.1.2 | 17. Balanced Search Trees | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a balanced search tree.

💡 Hint: Think about what balanced means in terms of tree height.

Question 2

Easy

What is the key property of AVL trees?

💡 Hint: Consider what the abbreviation 'AVL' stands for.

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 defines an AVL tree?

  • A complete binary tree
  • A height-balanced binary tree
  • A linear tree structure

💡 Hint: Remember the property of height differences in AVL trees.

Question 2

True or False: The maximum height difference allowed in AVL trees is 2.

  • True
  • False

💡 Hint: Recall the definition of height balance in AVL trees.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design an AVL tree and perform a series of insertions and deletions, showing how you handle rebalancing each time. Provide both the initial tree and the final balanced tree.

💡 Hint: Keep track of the height differences and slopes for balance restoration.

Question 2

Given a sequence of numbers to insert into an AVL tree, make predictions about the shape of the tree with each insertion. Describe the reasoning behind expected rotations.

💡 Hint: Think about how each number affects the height of subtrees.

Challenge and get performance evaluation