Practice Case When Slope is -1 - 18.1 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Case When Slope is -1

18.1 - Case When Slope is -1

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does a slope of -1 in a binary search tree indicate?

💡 Hint: Think about the relationship between the heights of the left and right subtrees.

Question 2 Easy

How do you perform a rotation in a binary search tree?

💡 Hint: Consider how you would restructure the tree while maintaining its properties.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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.

💡 Hint: Think about the definition of slope related to height.

Question 2

True or False: A slope of -1 requires at least one rotation to restore balance.

True
False

💡 Hint: Consider the conditions under which rebalancing is required.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Remember the conditions for each type of rotation.

Challenge 2 Hard

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.

💡 Hint: Make sure you check slopes at the affected nodes after adjustments.

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