Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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### Question:

**Which choice represents the expected upper bound for the run time of the `contains(value)` method of a self-balancing binary search tree?**

### Options:

- O(1)
  
- O(n log n)

- O(n)

- O(log n)

- O(n^2) 

**Explanation:**

Self-balancing binary search trees (such as AVL trees or Red-Black trees) maintain their height at O(log n) where n refers to the number of nodes in the tree. Hence, searching for a value (as in the `contains(value)` method) in a balanced binary search tree generally has the expected upper bound run time of O(log n).
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Transcribed Image Text:### Question: **Which choice represents the expected upper bound for the run time of the `contains(value)` method of a self-balancing binary search tree?** ### Options: - O(1) - O(n log n) - O(n) - O(log n) - O(n^2) **Explanation:** Self-balancing binary search trees (such as AVL trees or Red-Black trees) maintain their height at O(log n) where n refers to the number of nodes in the tree. Hence, searching for a value (as in the `contains(value)` method) in a balanced binary search tree generally has the expected upper bound run time of O(log n).
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