Practice - Time and Space Complexity Summary
Practice Questions
Test your understanding with targeted questions
What is the average time complexity for searching in a binary search tree?
💡 Hint: Think about how many comparisons you would make.
What is the space complexity for AVL and Red-Black Trees?
💡 Hint: Consider how many nodes are present in the tree.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the average search time in a balanced AVL Tree?
💡 Hint: Think about the nature of balanced trees during the search.
True or False: The space complexity for both BST and AVL trees is O(n).
💡 Hint: Consider how memory is allocated for each node.
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Challenge Problems
Push your limits with advanced challenges
Given a scenario where a binary search tree is frequently modified (lots of insertions and deletions), explain the benefits of using a balanced tree (like AVL) over a regular BST.
💡 Hint: Consider how balancing affects the efficiency of these operations.
If you have a tree with 256 nodes, how many comparisons would you expect on average for a search operation in a balanced tree structure? Show your workings.
💡 Hint: What calculation does log2 relate to when computing these comparisons?
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Reference links
Supplementary resources to enhance your learning experience.