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What is the height of node 30?

What is the height of node 30?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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**Understanding Tree Height: Determining the Height of a Node** --- **Question:** What is the height of node 30? --- **Diagram Explanation:** The diagram is a representation of a binary tree. The nodes are depicted as circles with the numbers 4, 12, 16, 21, 28, and 30. Arrows indicate the parent-child relationships between the nodes. - Node 16 is the root node. - Node 16 connects to nodes 4 and 21. - Node 4 connects to node 12. - Node 21 connects to node 30. - Node 30 connects to node 28. The height of a node in a tree is the number of edges on the longest path from the node to a leaf. - Node 30 connects to node 28, which is a leaf, with one edge. Thus, the height of node 30 is **1**. --- **Answer Options:** - [ ] 2 - [x] 3 - [ ] 4 - [ ] 1 Note: The correct option should be marked based on the height conclusion drawn from analyzing the diagram.
Transcribed Image Text:**Understanding Tree Height: Determining the Height of a Node** --- **Question:** What is the height of node 30? --- **Diagram Explanation:** The diagram is a representation of a binary tree. The nodes are depicted as circles with the numbers 4, 12, 16, 21, 28, and 30. Arrows indicate the parent-child relationships between the nodes. - Node 16 is the root node. - Node 16 connects to nodes 4 and 21. - Node 4 connects to node 12. - Node 21 connects to node 30. - Node 30 connects to node 28. The height of a node in a tree is the number of edges on the longest path from the node to a leaf. - Node 30 connects to node 28, which is a leaf, with one edge. Thus, the height of node 30 is **1**. --- **Answer Options:** - [ ] 2 - [x] 3 - [ ] 4 - [ ] 1 Note: The correct option should be marked based on the height conclusion drawn from analyzing the diagram.
### Understanding Node Depth in a Tree Structure #### Question: What is the depth of node 30? #### Diagram Explanation: The diagram illustrates a tree structure with the following nodes and their connections: - The root node is **16**. - Node **16** connects to **4** on the left and **21** on the right. - Node **4** connects to **12**. - Node **21** connects to **30**. - Node **30** connects to **28**. #### Answer Options: - ○ 1 - ● 2 - ○ 3 - ○ 4 The correct choice is **2**, indicating that the depth of node **30** is 2. Depth is calculated from the root node, so: - **16** is at depth 0. - **21** is at depth 1. - **30** is at depth 2.
Transcribed Image Text:### Understanding Node Depth in a Tree Structure #### Question: What is the depth of node 30? #### Diagram Explanation: The diagram illustrates a tree structure with the following nodes and their connections: - The root node is **16**. - Node **16** connects to **4** on the left and **21** on the right. - Node **4** connects to **12**. - Node **21** connects to **30**. - Node **30** connects to **28**. #### Answer Options: - ○ 1 - ● 2 - ○ 3 - ○ 4 The correct choice is **2**, indicating that the depth of node **30** is 2. Depth is calculated from the root node, so: - **16** is at depth 0. - **21** is at depth 1. - **30** is at depth 2.
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