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3 cards from this section. Quick, good the night before a test.
Define an AVL tree.
Consider the properties that make it 'balanced'.
What is the significance of the balance factor in AVL trees?
Think about how height differences affect tree operations.
What is the maximum height difference allowed in an AVL tree?
Think about the balance condition discussed.
After a left-heavy tree insertion, which type of rotation is needed?
Consider the direction of imbalance.
Given an AVL tree that has become unbalanced after several insertions, describe the process of identifying which rotations to perform to restore balance.
Evaluate the height differences carefully to make an informed decision.
Construct an AVL tree by inserting the following sequence of numbers: 30, 20, 40, 10, 25, 22. Illustrate each step including any necessary rotations.
Keep track of height after each insertion to visualize balance.
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