Practice Efficient Height Management - 18.7 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Efficient Height Management

18.7 - Efficient Height Management

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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