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1. Given the BST tree below, fill in the values in the table. 0002 0005 0005 Height of tree 0017 Height of node 45 Depth of node 17 Node 76 degree Tree degree Order of tree 0021 Property 0025 Internal path length External path length 0034 0033 Name the nodes in left subtree of node 98 0040 0043 0045 0045 0049 Value 0067 0055 0071 0076 0078 0084 0087 0098 0092 0099

1. Given the BST tree below, fill in the values in the table. 0002 0005 0005 Height of tree 0017 Height of node 45 Depth of node 17 Node 76 degree Tree degree Order of tree 0021 Property 0025 Internal path length External path length 0034 0033 Name the nodes in left subtree of node 98 0040 0043 0045 0045 0049 Value 0067 0055 0071 0076 0078 0084 0087 0098 0092 0099

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 Binary Search Trees (BST) #### Example Problem: Given the BST (Binary Search Tree) tree below, fill in the values in the table. #### Visual Diagram: The diagram shows a BST with nodes represented by circular shapes with numerical values assigned to them. The tree starts with the root node 0034 and branches out through a hierarchy of nodes. - The root node is 0034. - Nodes descend from the root with connections established by lines indicating left (lesser value) and right (greater value): - The left subtree of the root contains nodes: 0005, 0045, etc. - The right subtree of the root contains nodes: 0067, 0098, etc. #### Nodes in the BST: - **Root Node**: 0034 - **Subtrees and Descendants**: - Left Subtree of 0034: 0005, 0017, 0021, 0002, 0050, 0040, 0045, 0043, 0055, 0049, etc. - Right Subtree of 0034: 0067, 0098, 0076, 0071, 0092, 0087, 0078, 0084, etc. #### Properties and Values Table: This table is designed to be completed using the provided BST diagram. Below are the properties that need to be determined: | Property | Value | |-------------------------------------------|------------------------| | Height of tree | | | Height of node 45 | | | Depth of node 17 | | | Node 76 degree | | | Tree degree | | | Name the nodes in left subtree of node 98 | | | Order of tree | | | Internal path length | | | External path length | | #### Explanation of Each Property: - **Height of Tree**: The maximum depth or distance from the root node to the furthest leaf node. - **Height of Node 45**: The distance from node 0045 to its furthest leaf node. - **Depth of Node 17**: The distance from the root node 0034 to node 0017. - **Node 76 Degree**: The number of children linked to node 0076. - **Tree Degree**: The maximum number of
Transcribed Image Text:### Understanding Binary Search Trees (BST) #### Example Problem: Given the BST (Binary Search Tree) tree below, fill in the values in the table. #### Visual Diagram: The diagram shows a BST with nodes represented by circular shapes with numerical values assigned to them. The tree starts with the root node 0034 and branches out through a hierarchy of nodes. - The root node is 0034. - Nodes descend from the root with connections established by lines indicating left (lesser value) and right (greater value): - The left subtree of the root contains nodes: 0005, 0045, etc. - The right subtree of the root contains nodes: 0067, 0098, etc. #### Nodes in the BST: - **Root Node**: 0034 - **Subtrees and Descendants**: - Left Subtree of 0034: 0005, 0017, 0021, 0002, 0050, 0040, 0045, 0043, 0055, 0049, etc. - Right Subtree of 0034: 0067, 0098, 0076, 0071, 0092, 0087, 0078, 0084, etc. #### Properties and Values Table: This table is designed to be completed using the provided BST diagram. Below are the properties that need to be determined: | Property | Value | |-------------------------------------------|------------------------| | Height of tree | | | Height of node 45 | | | Depth of node 17 | | | Node 76 degree | | | Tree degree | | | Name the nodes in left subtree of node 98 | | | Order of tree | | | Internal path length | | | External path length | | #### Explanation of Each Property: - **Height of Tree**: The maximum depth or distance from the root node to the furthest leaf node. - **Height of Node 45**: The distance from node 0045 to its furthest leaf node. - **Depth of Node 17**: The distance from the root node 0034 to node 0017. - **Node 76 Degree**: The number of children linked to node 0076. - **Tree Degree**: The maximum number of
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