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Learning Functional Data Structures and Algorithms

You're reading from   Learning Functional Data Structures and Algorithms Learn functional data structures and algorithms for your applications and bring their benefits to your work now

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Product type Paperback
Published in Feb 2017
Publisher Packt
ISBN-13 9781785888731
Length 318 pages
Edition 1st Edition
Languages
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Authors (2):
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Raju Kumar Mishra Raju Kumar Mishra
Author Profile Icon Raju Kumar Mishra
Raju Kumar Mishra
Atul S. Khot Atul S. Khot
Author Profile Icon Atul S. Khot
Atul S. Khot
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Table of Contents (14) Chapters Close

Preface 1. Why Functional Programming? FREE CHAPTER 2. Building Blocks 3. Lists 4. Binary Trees 5. More List Algorithms 6. Graph Algorithms 7. Random Access Lists 8. Queues 9. Streams, Laziness, and Algorithms 10. Being Lazy - Queues and Deques 11. Red-Black Trees 12. Binomial Heaps 13. Sorting

Stable and unstable sorting

In the following paragraphs, we will discuss stable and unstable sorting.

Stable sorting

A stable sort algorithm maintains the relative ordering of elements of equal values in a sorted sequence. It can be understood using the following diagram:

Stable sorting

As the diagram depicts, our unsorted list has two fives. The first 5 is in a white slot and the second one is in a gray slot. After sorting, in the sorted sequence also, the 5 in the white slot remains before the 5 in the gray slot. This is an example of a stable sort.

Unstable sorting

Unstable sorting algorithms do not maintain the relative ordering of elements of equal values in a sorted sequence. The following diagram will help in understanding unstable sorting:

Unstable sorting

As shown in the figure, in a sorted sequence, the 5 in gray slot is before the 5 in white slot. In the unsorted sequence, the 5 in white slot is before the 5 in gray slot. After sorting, in the sorted sequence, their relative ordering is changed. This is...

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