17.1.2 - Notions of Balance
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a balanced search tree.
💡 Hint: Think about what balanced means in terms of tree height.
What is the key property of AVL trees?
💡 Hint: Consider what the abbreviation 'AVL' stands for.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines an AVL tree?
💡 Hint: Remember the property of height differences in AVL trees.
True or False: The maximum height difference allowed in AVL trees is 2.
💡 Hint: Recall the definition of height balance in AVL trees.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.