Use the Binary Search Tree (BST) insertion algorithm to insert 0078 into the BST below. List the nodes of the resulting tree in pre-order traversal order separated byłone blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 77 76 82 92 0075 0053 0084 0024 0057 0077 0092 0076 0082
Use the Binary Search Tree (BST) insertion algorithm to insert 0078 into the BST below. List the nodes of the resulting tree in pre-order traversal order separated byłone blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 77 76 82 92 0075 0053 0084 0024 0057 0077 0092 0076 0082
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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![**Binary Search Tree (BST) Insertion Exercise**
**Objective**: Use the Binary Search Tree (BST) insertion algorithm to insert the value `0078` into the BST provided in the diagram below.
**Task**: List the nodes of the resulting tree in **pre-order traversal order**. The nodes should be separated by a single blank space. For guidance, the existing tree in the diagram can be described in pre-order format as: `75 53 24 57 84 77 76 82 92`.
**Diagram Explanation**:
The diagram illustrates a Binary Search Tree (BST) structured as follows:
- **Root Node**: `0075`
- **Left Subtree**:
- Node `0053` is the left child of `0075`.
- Node `0024` is the left child of `0053`.
- Node `0057` is the right child of `0053`.
- **Right Subtree**:
- Node `0084` is the right child of `0075`.
- Node `0077` is the left child of `0084`.
- Node `0076` is the left child of `0077`.
- Node `0082` is the right child of `0077`.
- Node `0092` is the right child of `0084`.
Insert `0078` appropriately following the BST insertion rules and list all nodes in pre-order traversal after insertion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7806ee1d-f52a-4446-9522-de19f1bf9bfb%2Fdda883e9-9468-49b9-b7fc-eb84320c3903%2F0ww144r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Binary Search Tree (BST) Insertion Exercise**
**Objective**: Use the Binary Search Tree (BST) insertion algorithm to insert the value `0078` into the BST provided in the diagram below.
**Task**: List the nodes of the resulting tree in **pre-order traversal order**. The nodes should be separated by a single blank space. For guidance, the existing tree in the diagram can be described in pre-order format as: `75 53 24 57 84 77 76 82 92`.
**Diagram Explanation**:
The diagram illustrates a Binary Search Tree (BST) structured as follows:
- **Root Node**: `0075`
- **Left Subtree**:
- Node `0053` is the left child of `0075`.
- Node `0024` is the left child of `0053`.
- Node `0057` is the right child of `0053`.
- **Right Subtree**:
- Node `0084` is the right child of `0075`.
- Node `0077` is the left child of `0084`.
- Node `0076` is the left child of `0077`.
- Node `0082` is the right child of `0077`.
- Node `0092` is the right child of `0084`.
Insert `0078` appropriately following the BST insertion rules and list all nodes in pre-order traversal after insertion.
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