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
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
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![**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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88ab70e5-0272-4e98-83c3-930108d8e490%2Fb6de00bc-7de9-4ace-912d-e2d27eb1d172%2Fl32ezj_processed.jpeg&w=3840&q=75)
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
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