Set up LInkedBlnaryTree class (using C++ code) 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. Questlon 1: Provide pre-order traversal, in-order traversal and post-order traversal traversal for the following binary tree. A B D E F G

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
Section: Chapter Questions
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### Binary Tree Traversal: An Educational Exercise

**Objective:**

Set up a `LinkedBinaryTree` class (using C++ code) 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.

**Task:**

**Question 1:** Provide pre-order traversal, in-order traversal, and post-order traversal for the following binary tree:

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

**Explanation of the Diagram:**

This binary tree is structured as follows:

- Root node `A` has two children: `B` and `C`.
- Node `B` has two children: `D` and `E`.
- Node `C` has one child: `F`.
- Node `D` has no children.
- Node `E` has one child: `G`.
- Node `G` has no children.
- Node `F` has no children.

**Traversals:**

1. **Pre-order Traversal (Root, Left, Right):**
   - Visit the root node first.
   - Traverse the left subtree in pre-order.
   - Traverse the right subtree in pre-order.
   - For the given tree: `A, B, D, E, G, C, F`

2. **In-order Traversal (Left, Root, Right):**
   - Traverse the left subtree in in-order.
   - Visit the root node.
   - Traverse the right subtree in in-order.
   - For the given tree: `D, B, G, E, A, C, F`

3. **Post-order Traversal (Left, Right, Root):**
   - Traverse the left subtree in post-order.
   - Traverse the right subtree in post-order.
   - Visit the root node.
   - For the given tree: `D, G, E, B, F, C, A`

By implementing and practicing these tree traversal techniques, students will gain a deeper understanding of binary trees and their traversal patterns, which are essential concepts in computer science and data structures.
Transcribed Image Text:### Binary Tree Traversal: An Educational Exercise **Objective:** Set up a `LinkedBinaryTree` class (using C++ code) 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. **Task:** **Question 1:** Provide pre-order traversal, in-order traversal, and post-order traversal for the following binary tree: ``` A / \ B C / \ \ D E F / G ``` **Explanation of the Diagram:** This binary tree is structured as follows: - Root node `A` has two children: `B` and `C`. - Node `B` has two children: `D` and `E`. - Node `C` has one child: `F`. - Node `D` has no children. - Node `E` has one child: `G`. - Node `G` has no children. - Node `F` has no children. **Traversals:** 1. **Pre-order Traversal (Root, Left, Right):** - Visit the root node first. - Traverse the left subtree in pre-order. - Traverse the right subtree in pre-order. - For the given tree: `A, B, D, E, G, C, F` 2. **In-order Traversal (Left, Root, Right):** - Traverse the left subtree in in-order. - Visit the root node. - Traverse the right subtree in in-order. - For the given tree: `D, B, G, E, A, C, F` 3. **Post-order Traversal (Left, Right, Root):** - Traverse the left subtree in post-order. - Traverse the right subtree in post-order. - Visit the root node. - For the given tree: `D, G, E, B, F, C, A` By implementing and practicing these tree traversal techniques, students will gain a deeper understanding of binary trees and their traversal patterns, which are essential concepts in computer science and data structures.
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