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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation