Practice Operations On Search Trees (17.1.1) - Balanced Search Trees - Design & Analysis of Algorithms

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10 questions

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6 sample questions

Question 1.
What does the term 'height' refer to in a tree?
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Think about how we measure paths.
Question 2.
What is an AVL tree?
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Recall the full name of the tree!
3Question 3.
What is the maximum allowable slope in an AVL tree?
- 3
- 1
- 2
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Revisit how slopes function in balancing.
4Question 4.
True or False: An AVL tree can have two subtrees with height differences of more than two nodes.
- True
- False
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Think back to what defines an AVL tree.
Question 5.
You are given an AVL tree. Insert the value 15, drawing the tree and showing rotations needed to maintain AVL properties.
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Visualize where the imbalance occurs after insertion.
Question 6.
Consider an unbalanced binary tree. Convert it into an AVL tree through rotations and explain each step.
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Pay attention to rebalancing like in earlier examples.

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