### Binary Tree TraversalIn this exercise, we will set up a `LinkedBinaryTree` class and create a test driver to perform basic operations on a binary tree of strings. After successfully setting up the `LinkedBinaryTree`, we'll modify it to support in-order traversal by adding or modifying the `positions()` method. #### Task:1. **Construct the Tree**: Write code to construct a tree as shown in the first question.2. **Perform Traversals**: Implement functions to perform in-order, pre-order, and post-order traversals on the tree.#### Tree Structure:The binary tree structure for this exercise is represented as:``` A / \ B C / \ \D E F/G```#### Exercise Description:**Question 1**: Provide pre-order traversal, in-order traversal, and post-order traversal for the binary tree.**Question 2**: Which traversal in question 1 is not used for a general tree? Explain why that is the case.#### Graph Descriptions:The tree displayed above exhibits the following node hierarchy:- `A` is the root node.- `B` and `C` are the children of `A`.- `D` and `E` are the children of `B`.- `G` is the left child of `D`.- `F` is the right child of `C`.### Binary Tree Traversal Methods:1. **Pre-order Traversal**: - Visit the root node. - Traverse the left subtree in pre-order. - Traverse the right subtree in pre-order.2. **In-order Traversal**: - Traverse the left subtree in in-order. - Visit the root node. - Traverse the right subtree in in-order.3. **Post-order Traversal**: - Traverse the left subtree in post-order. - Traverse the right subtree in post-order. - Visit the root node.### Solution to Question 2:- In a general tree, **in-order traversal** is not typically defined or used. This is because general trees are not binary and can have more than two children per node. In-order traversal specifically relies on the binary tree property of having at most two children, where the "in-order" sequence is well-defined.

Code: #include <iostream>using namespace std;class LinkedBinaryTree{public: string…

Set up LinkedBinaryTree class and then create a simple test driver to perform some basic operations on a binary tree of strings. Once it is working correctly, modify LinkedBinaryTree to support in-order traversal. It is best to add/modify positions() to perform in-order traversal. Add code to construct a tree in lab question 1 below and then perform an in- order traversal on that tree. Question 1: Provide pre-order traversal, in-order traversal and post-order traversal traversal for the following binary tree. A ВС DEF G Question 2: Which traversal in question 1 is not used for a general tree? Explain why that is the case.

Set up LinkedBinaryTree class and then create a simple test driver to perform some basic operations on a binary tree of strings. Once it is working correctly, modify LinkedBinaryTree to support in-order traversal. It is best to add/modify positions() to perform in-order traversal. Add code to construct a tree in lab question 1 below and then perform an in- order traversal on that tree. Question 1: Provide pre-order traversal, in-order traversal and post-order traversal traversal for the following binary tree. A ВС DEF G Question 2: Which traversal in question 1 is not used for a general tree? Explain why that is the case.

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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A: Solution:

Question

### Binary Tree Traversal

In this exercise, we will set up a `LinkedBinaryTree` class and create a test driver to perform basic operations on a binary tree of strings. After successfully setting up the `LinkedBinaryTree`, we'll modify it to support in-order traversal by adding or modifying the `positions()` method.

#### Task:
1. **Construct the Tree**: Write code to construct a tree as shown in the first question.
2. **Perform Traversals**: Implement functions to perform in-order, pre-order, and post-order traversals on the tree.

#### Tree Structure:
The binary tree structure for this exercise is represented as:

```
A
/ \
B C
/ \ \
D E F
/
G
```

#### Exercise Description:
**Question 1**: Provide pre-order traversal, in-order traversal, and post-order traversal for the binary tree.

**Question 2**: Which traversal in question 1 is not used for a general tree? Explain why that is the case.

#### Graph Descriptions:
The tree displayed above exhibits the following node hierarchy:
- `A` is the root node.
- `B` and `C` are the children of `A`.
- `D` and `E` are the children of `B`.
- `G` is the left child of `D`.
- `F` is the right child of `C`.

### Binary Tree Traversal Methods:
1. **Pre-order Traversal**:
- Visit the root node.
- Traverse the left subtree in pre-order.
- Traverse the right subtree in pre-order.

2. **In-order Traversal**:
- Traverse the left subtree in in-order.
- Visit the root node.
- Traverse the right subtree in in-order.

3. **Post-order Traversal**:
- Traverse the left subtree in post-order.
- Traverse the right subtree in post-order.
- Visit the root node.

### Solution to Question 2:
- In a general tree, **in-order traversal** is not typically defined or used. This is because general trees are not binary and can have more than two children per node. In-order traversal specifically relies on the binary tree property of having at most two children, where the "in-order" sequence is well-defined.

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