Practice Rebalancing After Insertions - 18.2 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the maximum slope for a balanced binary search tree?

💡 Hint: Think about the conditions for a balanced tree.

Question 2

Easy

What action do we take if the slope at a unbalanced node is +2?

💡 Hint: What rotations are performed based on the child's slope?

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

What is the maximum imbalance slope for a node to be considered balanced?

  • 2
  • 3
  • 1

💡 Hint: Remember the definition of balance in trees.

Question 2

True or False: After inserting a node with a slope of -2, we first perform a right rotation.

  • True
  • False

💡 Hint: Think carefully about how rotations are determined.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a balanced binary tree after inserting the values 50, 30, 20, 40, 70, 60, 80. Illustrate the rebalancing steps taken after each insertion.

💡 Hint: Draw diagrams to see visual shifts for better understanding.

Question 2

Given an initial imbalance with a slope of +3, explain how you would address it with appropriate rotations and height updates.

💡 Hint: Use slope calculations to guide your rotation strategy.

Challenge and get performance evaluation