**Binary Search Tree Deletion Algorithm**In this educational exercise, we will demonstrate the deletion of a node from a Binary Search Tree (BST). Specifically, we aim to remove the node labeled "0075."**Steps:**1. **Visual Representation of the BST:** The tree structure is as follows: ``` 0075 / \ 0053 0084 / \ / \ 0024 0057 0077 0092 / \ 0076 0082 ```2. **Deletion Task:** - We are tasked with deleting the node "0075" from the tree.3. **Pre-order Traversal:** - Pre-order traversal involves visiting the nodes in the order: root, left subtree, right subtree. - The example provided illustrates the output format: 75 53 24 57 84 77 76 82 92 **Diagram Explanation:**- Each node is represented by a circular shape containing a value.- Arrows indicate the child-parent relationship, directing from parent to child.- The node "0075" is the root of the tree with children "0053" and "0084."- Further subdivisions exist under each child, contributing to the overall tree structure.This task will guide you through removing a node while maintaining the BST properties and generating the pre-order traversal of the modified tree.

Use the Binary Search Tree (BST) deletion algorithm to delete 0075 from the BST below. List the nodes of the resulting tree in pre-order traversal order separated by one blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 7776 8292

Use the Binary Search Tree (BST) deletion algorithm to delete 0075 from the BST below. List the nodes of the resulting tree in pre-order traversal order separated by one blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 7776 8292

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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Question

**Binary Search Tree Deletion Algorithm**

In this educational exercise, we will demonstrate the deletion of a node from a Binary Search Tree (BST). Specifically, we aim to remove the node labeled "0075."

**Steps:**

1. **Visual Representation of the BST:**

The tree structure is as follows:

```
0075
/ \
0053 0084
/ \ / \
0024 0057 0077 0092
/ \
0076 0082
```

2. **Deletion Task:**

- We are tasked with deleting the node "0075" from the tree.

3. **Pre-order Traversal:**

- Pre-order traversal involves visiting the nodes in the order: root, left subtree, right subtree.

- The example provided illustrates the output format: 75 53 24 57 84 77 76 82 92

**Diagram Explanation:**

- Each node is represented by a circular shape containing a value.
- Arrows indicate the child-parent relationship, directing from parent to child.
- The node "0075" is the root of the tree with children "0053" and "0084."
- Further subdivisions exist under each child, contributing to the overall tree structure.

This task will guide you through removing a node while maintaining the BST properties and generating the pre-order traversal of the modified tree.

Expert Solution

Deletion of 75

The largest node from left subtree will now be replaced as the root node and the resultant tree is as follows

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