Practice Efficient Height Management - 18.7 | 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 does a slope of -1 indicate in a binary search tree?

💡 Hint: Think about the definition of slope.

Question 2

Easy

What is the main purpose of performing rotations in BSTs?

💡 Hint: Consider why tree operations can slow down.

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 action do we take if the slope of a tree node is -2?

  • Perform a left rotation
  • Perform a right rotation
  • Rotate at the child first

💡 Hint: Think about which direction needs to be adjusted first.

Question 2

True or False: A slope of 0 means both the left and right subtrees are of equal height.

  • True
  • False

💡 Hint: Consider the definition of slope.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a series of insertions into a binary search tree, track the changes in slopes and the necessary rotations needed after each insertion.

💡 Hint: Document each step with a simple tree diagram.

Question 2

Create a balanced binary search tree with a specific set of nodes and explain how to maintain its balance through rotations during subsequent operations.

💡 Hint: Focus on tree height and slopes after each alteration.

Challenge and get performance evaluation