5c. Show the steps required to do a shell sort on the following set of values. 346 22 31 212 157 102 568 435 8 14 5

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
Solve this question without coding
**Shell Sort Step-by-Step Explanation**

The following steps demonstrate how to perform a Shell Sort on a given set of values. 

### Problem Statement:
**5c. Show the steps required to do a shell sort on the following set of values:**

Values to be sorted:
    
    346, 22, 31, 212, 157, 102, 568, 435, 8, 14, 5.

### Shell Sort Explanation:

Shell Sort is an optimization over Insertion Sort which allows the exchange of items that are far apart. The algorithm uses a gap sequence to determine which elements to compare and exchange. The gap is gradually reduced to eventually perform a final pass with a gap of 1, resulting in a fully sorted array.

1. **Initial Array**:
   
   ```
   [346, 22, 31, 212, 157, 102, 568, 435, 8, 14, 5]
   ```

2. **Gap Sequence**:
   
   A common sequence is to start with `n/2` and reduce the gap by half each time until it becomes 1.

   For 11 elements:
   Start with gap = 5, then reduce to 2, and finally to 1.

3. **Gap = 5**:
   
   Compare and swap elements that are 5 positions apart.

   - Compare 346 and 102: [102, 22, 31, 212, 157, 346, 568, 435, 8, 14, 5]
   - Compare 22 and 568: [102, 22, 31, 212, 157, 346, 568, 435, 8, 14, 5]
   - Compare 31 and 435: [102, 22, 31, 212, 157, 346, 568, 435, 8, 14, 5]
   - Compare 212 and 8: [102, 22, 31, 8, 157, 346, 568, 435, 212, 14, 5]
   - Compare 157 and 14: [102, 22, 31, 8, 14, 346, 568, 435, 212, 157, 5]
   - Compare
Transcribed Image Text:**Shell Sort Step-by-Step Explanation** The following steps demonstrate how to perform a Shell Sort on a given set of values. ### Problem Statement: **5c. Show the steps required to do a shell sort on the following set of values:** Values to be sorted: 346, 22, 31, 212, 157, 102, 568, 435, 8, 14, 5. ### Shell Sort Explanation: Shell Sort is an optimization over Insertion Sort which allows the exchange of items that are far apart. The algorithm uses a gap sequence to determine which elements to compare and exchange. The gap is gradually reduced to eventually perform a final pass with a gap of 1, resulting in a fully sorted array. 1. **Initial Array**: ``` [346, 22, 31, 212, 157, 102, 568, 435, 8, 14, 5] ``` 2. **Gap Sequence**: A common sequence is to start with `n/2` and reduce the gap by half each time until it becomes 1. For 11 elements: Start with gap = 5, then reduce to 2, and finally to 1. 3. **Gap = 5**: Compare and swap elements that are 5 positions apart. - Compare 346 and 102: [102, 22, 31, 212, 157, 346, 568, 435, 8, 14, 5] - Compare 22 and 568: [102, 22, 31, 212, 157, 346, 568, 435, 8, 14, 5] - Compare 31 and 435: [102, 22, 31, 212, 157, 346, 568, 435, 8, 14, 5] - Compare 212 and 8: [102, 22, 31, 8, 157, 346, 568, 435, 212, 14, 5] - Compare 157 and 14: [102, 22, 31, 8, 14, 346, 568, 435, 212, 157, 5] - Compare
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Binary Search Algorithm
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
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