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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

Insertion sort

Insertion sort is simple to implement and a stable sorting algorithm. During the process of sorting, it creates a sorted subsequence. From the unsorted subpart of the sequence, it takes one value at a time in each pass and inserts it in the sorted part of the sequence, maintaining the order in the sorted subsequence. When the last element is inserted in the sorted subsequence, we get the final sorted sequence. Hence, for a sequence of N elements, it takes N-1 passes. Remember that it does not swap values like the bubble and selection sort algorithms, but it inserts values one by one in a sorted subsequence.

We can better understand the insertion sort mechanism with the following pass-by-pass diagram:

Insertion sort

We have a sequence of integers with elements, [12, 10, 16, 11, 9, 7]. In the first pass, it starts with 10. The already sorted subsequence has one element, 12. Element 10 is inserted in front of 12. Now we have two elements, 10 and 12, in the sorted subsequence.

We can visualize...

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