2-3- Trees: Create the 2-3 tree with 11 nodes. Also, implement in-order traversal, and findltem functions. struct Node int small; int large; Node * left; Node* middle; Node* right; void inorder (Node *tree); Node *findItem (Node *tree, int target); 50 90 20 (70 120 150 10 30 40 60 80 100 110) (130 140 (160

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
icon
Related questions
Question

Please help with C++ question in image in C++ language.

Output sample in second image. Thank you.

## 2-3 Trees: 

**Objective:**
Create a 2-3 tree with 11 nodes. Implement in-order traversal and `findItem` functions.

**Data Structure Definition:**

```c
struct Node
{
    int small;
    int large;
    Node* left;
    Node* middle;
    Node* right;
}

void inOrder(Node *tree);
Node *findItem(Node *tree, int target);
```

**Tree Diagram Explanation:**

- The tree consists of a root node with values 50 and 90.
- The root has three children:
  - The first child node contains the value 20, with its own children being 10, 30, and 40.
  - The second child node contains the value 70, with its children being 60 and 80.
  - The third child node contains values 120 and 150, with its children being 100, 110, 130, 140, and 160.

**Sample Run:**

The diagram illustrates a structured representation of the 2-3 tree, showing hierarchy and connections between different nodes with values ranging from 10 to 160.

- Nodes are distributed in such a way to maintain the properties of a 2-3 tree, where each internal node can have 2 or 3 children and will have either 1 key (in case of a 2-node) or 2 keys (in case of a 3-node).
- Leaf nodes are aligned to show the distribution of lesser, equal, and greater values in adherence to the tree structure requirements.
Transcribed Image Text:## 2-3 Trees: **Objective:** Create a 2-3 tree with 11 nodes. Implement in-order traversal and `findItem` functions. **Data Structure Definition:** ```c struct Node { int small; int large; Node* left; Node* middle; Node* right; } void inOrder(Node *tree); Node *findItem(Node *tree, int target); ``` **Tree Diagram Explanation:** - The tree consists of a root node with values 50 and 90. - The root has three children: - The first child node contains the value 20, with its own children being 10, 30, and 40. - The second child node contains the value 70, with its children being 60 and 80. - The third child node contains values 120 and 150, with its children being 100, 110, 130, 140, and 160. **Sample Run:** The diagram illustrates a structured representation of the 2-3 tree, showing hierarchy and connections between different nodes with values ranging from 10 to 160. - Nodes are distributed in such a way to maintain the properties of a 2-3 tree, where each internal node can have 2 or 3 children and will have either 1 key (in case of a 2-node) or 2 keys (in case of a 3-node). - Leaf nodes are aligned to show the distribution of lesser, equal, and greater values in adherence to the tree structure requirements.
**Sample Run Description:**

The output shown in the image displays the results of a program execution that demonstrates two key operations on a data structure: in-order traversal and item search.

**Part 1: In-order Traversal**
- The program performs an in-order traversal of a binary search tree.
- The numbers displayed, "10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160", represent the nodes visited in sequence. In-order traversal visits nodes in ascending order for a binary search tree.

**Part 2: Find Item**
- The program searches for specific items in the data structure.

  1. **Search 50**:
     - The program searches for the item "50".
     - Output: "Item was found."
     - This indicates that the item "50" exists in the data structure.
  
  2. **Search 100**:
     - The program searches for the item "100".
     - Output: "Item was found."
     - This confirms the presence of the item "100" in the data structure.

  3. **Search 75**:
     - The program searches for the item "75".
     - Output: "Item was not found."
     - This denotes that the item "75" is absent from the data structure.

The message "Press any key to continue . . ." suggests the program is waiting for user interaction to proceed or terminate.
Transcribed Image Text:**Sample Run Description:** The output shown in the image displays the results of a program execution that demonstrates two key operations on a data structure: in-order traversal and item search. **Part 1: In-order Traversal** - The program performs an in-order traversal of a binary search tree. - The numbers displayed, "10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160", represent the nodes visited in sequence. In-order traversal visits nodes in ascending order for a binary search tree. **Part 2: Find Item** - The program searches for specific items in the data structure. 1. **Search 50**: - The program searches for the item "50". - Output: "Item was found." - This indicates that the item "50" exists in the data structure. 2. **Search 100**: - The program searches for the item "100". - Output: "Item was found." - This confirms the presence of the item "100" in the data structure. 3. **Search 75**: - The program searches for the item "75". - Output: "Item was not found." - This denotes that the item "75" is absent from the data structure. The message "Press any key to continue . . ." suggests the program is waiting for user interaction to proceed or terminate.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Types of trees
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education