17.1 - Balanced Search Trees
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Practice Questions
Test your understanding with targeted questions
Define an AVL tree.
💡 Hint: Consider the height difference criterion!
What does it mean for a tree to be balanced?
💡 Hint: Think about how balance affects tree operations.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the maximum allowed height difference between subtrees in an AVL tree?
💡 Hint: Recall the properties of AVL trees.
True or False: All AVL trees are complete binary trees.
💡 Hint: Think about the definition of 'complete' versus 'balanced.'
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Challenge Problems
Push your limits with advanced challenges
Construct an AVL tree by inserting the following values in order: 10, 20, 30, 40, 50, and 25. Demonstrate all the rotations that might be needed.
💡 Hint: Draw the tree at each insertion to see where the imbalances lie.
Explain how the AVL tree would look after deleting node 30 from the previous tree. What rotations might be necessary?
💡 Hint: Visualize the tree post-deletion, check heights and explore necessary rotations.
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