Practice Case When Slope Is -1 (18.1) - AVL Tree Rotations - Design & Analysis of Algorithms - Vol 2

Practice: Case When Slope is -1

Lesson 18.1AVL Tree Rotations

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does a slope of -1 in a binary search tree indicate?
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Think about the relationship between the heights of the left and right subtrees.
Question 2.
How do you perform a rotation in a binary search tree?
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Consider how you would restructure the tree while maintaining its properties.
3Question 3.
If the slope of a tree is -1, what does it indicate?
- The left subtree is taller.
- The right subtree is taller.
- The tree is perfectly balanced.
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Think about the definition of slope related to height.
4Question 4.
True or False: A slope of -1 requires at least one rotation to restore balance.
- True
- False
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Consider the conditions under which rebalancing is required.
Question 5.
You have a binary search tree where multiple insertions have caused a slope of -1. Show the steps you would take to rebalance it through rotations.
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Remember the conditions for each type of rotation.
Question 6.
If you delete a node from an AVL tree that causes an imbalance leading to a slope -1, explain how you would restore balance through rotations.
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Make sure you check slopes at the affected nodes after adjustments.

5 more questions in this section. Enroll free to practise them all.