17.1.5 - Slope and Rebalancing
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Practice Questions
Test your understanding with targeted questions
Define height in the context of trees.
💡 Hint: Think about paths from the top to the bottom of the tree.
What does it mean for a tree to be balanced?
💡 Hint: Consider how the slopes of subtrees affect balance.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the maximum slope for a balanced AVL tree?
💡 Hint: Consider the balance requirement in AVL trees.
True or False: An AVL tree requires that the heights of left and right subtrees differ by at most 2.
💡 Hint: Think about the AVL balancing rules.
1 more question available
Challenge Problems
Push your limits with advanced challenges
You have an initially balanced AVL tree. Describe how adding nodes can lead to an imbalance and the specific rotations needed to restore balance.
💡 Hint: Consider example scenarios and what rotations apply.
Given an AVL tree structure, demonstrate visually how the slope affects base operations and what actions to take when movements cause an imbalance.
💡 Hint: Draw the tree before and after insertion to clarify the process.
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