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
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
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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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