18.2 - Rebalancing After Insertions
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Practice Questions
Test your understanding with targeted questions
What is the maximum slope for a balanced binary search tree?
💡 Hint: Think about the conditions for a balanced tree.
What action do we take if the slope at a unbalanced node is +2?
💡 Hint: What rotations are performed based on the child's slope?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the maximum imbalance slope for a node to be considered balanced?
💡 Hint: Remember the definition of balance in trees.
True or False: After inserting a node with a slope of -2, we first perform a right rotation.
💡 Hint: Think carefully about how rotations are determined.
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Challenge Problems
Push your limits with advanced challenges
Construct a balanced binary tree after inserting the values 50, 30, 20, 40, 70, 60, 80. Illustrate the rebalancing steps taken after each insertion.
💡 Hint: Draw diagrams to see visual shifts for better understanding.
Given an initial imbalance with a slope of +3, explain how you would address it with appropriate rotations and height updates.
💡 Hint: Use slope calculations to guide your rotation strategy.
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