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2. A) Construct a Binary Search Tree using the following data 40, 60, 50, 55, 29, 35, 32, 9 Must show the dummy nodes once the tree is completed. Also show the addition of first four nodes in details. b) Illustrate how will you search for V = 32 from this tree, and what will be the runtime.

2. A) Construct a Binary Search Tree using the following data 40, 60, 50, 55, 29, 35, 32, 9 Must show the dummy nodes once the tree is completed. Also show the addition of first four nodes in details. b) Illustrate how will you search for V = 32 from this tree, and what will be the runtime.

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
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2. A) Construct a Binary Search Tree using the following data 40, 60, 50, 55, 29, 35, 32,9 Must show the dummy nodes once the tree is completed. Also show the addition of first four nodes in details. b) Illustrate how will you search for V = 32 from this tree, and what will be the runtime.
Transcribed Image Text:2. A) Construct a Binary Search Tree using the following data 40, 60, 50, 55, 29, 35, 32,9 Must show the dummy nodes once the tree is completed. Also show the addition of first four nodes in details. b) Illustrate how will you search for V = 32 from this tree, and what will be the runtime.
Expert Solution
Step 1

Part(A)

  • Insert 40 as the root node.

Computer Science homework question answer, step 1, image 1

  • Now, inserting node 60 and as 60>=40 hence the node 60 becomes the right child for the node 40.

Computer Science homework question answer, step 1, image 2

  • Now, inserting node 50 and as 50>=40 and 50<=60 hence the node 50 becomes the left child for the node 60.

Computer Science homework question answer, step 1, image 3

  • Now, inserting node 55 and as 55>=40 and 55<=60 and 55>=50 hence the node 55 becomes the right child for the node 50.

Computer Science homework question answer, step 1, image 4

  • Now inserting the nodes with values as 29, 35, 32 and 9, the binary search tree becomes:

Computer Science homework question answer, step 1, image 5

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