Draw a single binary search tree that meets all the following conditions: • The tree contains 7 nodes. The tree's pre-order traversal is the same as its in-order traversal. The tree does not contain any duplicate values. If it is not possible to draw such a tree, say so and explain why not. Here's one such tree. Basically, it has to devolve into a linked list like this: 1 3 5 7 Pre-order: 1234 567 In-order: 12345 67

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
The solution is provided. Could you explain this question step by step.
Draw a single binary search tree that meets all the following conditions:
• The tree contains 7 nodes.
• The tree's pre-order traversal is the same as its in-order traversal.
• The tree does not contain any duplicate values.
If it is not possible to draw such a tree, say so and explain why not.
Here's one such tree. Basically, it has to devolve into a linked list like this:
1
3
4
5
6
7
Pre-order: 12 34 5 67
In-order: 123 4 5 67
Transcribed Image Text:Draw a single binary search tree that meets all the following conditions: • The tree contains 7 nodes. • The tree's pre-order traversal is the same as its in-order traversal. • The tree does not contain any duplicate values. If it is not possible to draw such a tree, say so and explain why not. Here's one such tree. Basically, it has to devolve into a linked list like this: 1 3 4 5 6 7 Pre-order: 12 34 5 67 In-order: 123 4 5 67
Expert Solution
Step 1

Given tree is the single binary tree which contains 7 nodes from 1 to 7. It does not contain any duplicates. The inorder and preorder traversal of that tree are same.

Inorder means first traversing left node, root and then right node.

Preorder means first traversing root node, left node and then right node.

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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.
Similar questions
  • SEE MORE QUESTIONS
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