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2 cards from this section. Quick, good the night before a test.
What is the maximum slope for a balanced binary search tree?
Think about the conditions for a balanced tree.
What action do we take if the slope at a unbalanced node is +2?
What rotations are performed based on the child's slope?
What is the maximum imbalance slope for a node to be considered balanced?
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.
Think carefully about how rotations are determined.
Construct a balanced binary tree after inserting the values 50, 30, 20, 40, 70, 60, 80. Illustrate the rebalancing steps taken after each insertion.
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.
Use slope calculations to guide your rotation strategy.
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