Practice Handling Nodes with Height +2 - 18.3 | 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 indicates a height imbalance of +2 at a node?

💡 Hint: Think about the heights of both subtrees.

Question 2

Easy

What is a rotation in the context of binary trees?

💡 Hint: Consider what happens to the structure of the tree during rotation.

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 does a height of +2 in a binary tree node indicate?

  • A balanced tree
  • A right-heavy imbalance
  • Left-heavy balance

💡 Hint: Think about what balance means for each subtree.

Question 2

True or False: A single rotation can fix any height imbalance.

  • True
  • False

💡 Hint: Consider the complexity of imbalances.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You are given an unbalanced binary tree where a node has a height of +3. Describe the steps to rebalance this tree using rotations.

💡 Hint: Consider the roles every node plays in a binary tree.

Question 2

Design an algorithm in pseudo-code for inserting a node into an AVL tree while ensuring rebalancing through rotations.

💡 Hint: Think about how the insertion affects the tree balance and the corresponding rebalancing operations after every insertion.

Challenge and get performance evaluation