Show the resulting binary max heap after removing the root from the max heap in the picture.
Show the resulting binary max heap after removing the root from the max heap in the picture.
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
Related questions
Question
100%
Show your work step by step please!
Dont use others answers
Will rate!!
Show the resulting binary max heap after removing the root from the max heap in the picture.
![This image illustrates the process of building a binary heap, which is a complete binary tree. The image shows a sequence of diagrams representing the step-by-step insertion of elements to maintain the heap property, starting from single nodes to a complete structure.
1. **Initial Nodes**:
- Nodes are introduced starting with the value `56`, followed by `42`, and continuing with `94`.
2. **Heap Construction**:
- Each diagram sequentially adds more nodes while ensuring that the parent node is larger than its children (max heap property).
- The creation starts with a small number of nodes and expands to a more complex tree.
3. **Detailed Steps**:
- Nodes are arranged into levels. Each node's children are smaller, ensuring the max heap condition is met.
- The successive diagrams show nodes added in the following order: `(88, 42, 17), (40, 23), (61, 35), and finally 12`.
4. **Final Binary Heap**:
- The complete binary heap at the bottom of the diagram has `94` as the root node, followed by descending levels that maintain the heap property.
5. **Array Representation**:
- Below the tree diagrams, the binary heap is represented as an array: `[94, 88, 56, 61, 17, 40, 23, 42, 35, 12]`.
- This array reflects the level order traversal of the heap elements, illustrating how heaps can be stored in a linear structure.
The diagram provides a clear visual guide for understanding how binary heaps are structured and organized.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc072aa39-8129-445a-9735-4d7bdb63c570%2F7f32857c-2d19-4f3a-b95b-4d0bd1e3b43c%2Fb24t7ek_processed.jpeg&w=3840&q=75)
Transcribed Image Text:This image illustrates the process of building a binary heap, which is a complete binary tree. The image shows a sequence of diagrams representing the step-by-step insertion of elements to maintain the heap property, starting from single nodes to a complete structure.
1. **Initial Nodes**:
- Nodes are introduced starting with the value `56`, followed by `42`, and continuing with `94`.
2. **Heap Construction**:
- Each diagram sequentially adds more nodes while ensuring that the parent node is larger than its children (max heap property).
- The creation starts with a small number of nodes and expands to a more complex tree.
3. **Detailed Steps**:
- Nodes are arranged into levels. Each node's children are smaller, ensuring the max heap condition is met.
- The successive diagrams show nodes added in the following order: `(88, 42, 17), (40, 23), (61, 35), and finally 12`.
4. **Final Binary Heap**:
- The complete binary heap at the bottom of the diagram has `94` as the root node, followed by descending levels that maintain the heap property.
5. **Array Representation**:
- Below the tree diagrams, the binary heap is represented as an array: `[94, 88, 56, 61, 17, 40, 23, 42, 35, 12]`.
- This array reflects the level order traversal of the heap elements, illustrating how heaps can be stored in a linear structure.
The diagram provides a clear visual guide for understanding how binary heaps are structured and organized.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
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
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education