Practice Rebalancing During Deletions - 18.6 | 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 slope in a binary search tree?

💡 Hint: Think about the heights before and after deletions.

Question 2

Easy

Define what a rotation is in the context of trees.

💡 Hint: Consider what happens when a tree becomes unbalanced.

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 happens when the slope at a node is +2?

  • Left subtree gets taller.
  • Right subtree gets taller.
  • Tree remains balanced.

💡 Hint: Focus on left and right relationships.

Question 2

True or False: Calculating the height of subtrees is done on the fly.

  • True
  • False

💡 Hint: Think about efficiency in tree operations.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Describe the full rebalancing process if a tree node x has a slope of +2 and y has a slope of -1.

💡 Hint: Think about the order of operations for rotations.

Question 2

If you need to delete a node and it causes a slope of -2, explain the steps for rebalancing.

💡 Hint: Consider both child slopes to determine the actions.

Challenge and get performance evaluation