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Hands-On Data Structures and Algorithms with Python

You're reading from   Hands-On Data Structures and Algorithms with Python Write complex and powerful code using the latest features of Python 3.7

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Product type Paperback
Published in Oct 2018
Publisher Packt
ISBN-13 9781788995573
Length 398 pages
Edition 2nd Edition
Languages
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Authors (2):
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Benjamin Baka Benjamin Baka
Author Profile Icon Benjamin Baka
Benjamin Baka
Dr. Basant Agarwal Dr. Basant Agarwal
Author Profile Icon Dr. Basant Agarwal
Dr. Basant Agarwal
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Table of Contents (16) Chapters Close

Preface 1. Python Objects, Types, and Expressions FREE CHAPTER 2. Python Data Types and Structures 3. Principles of Algorithm Design 4. Lists and Pointer Structures 5. Stacks and Queues 6. Trees 7. Hashing and Symbol Tables 8. Graphs and Other Algorithms 9. Searching 10. Sorting 11. Selection Algorithms 12. String Algorithms and Techniques 13. Design Techniques and Strategies 14. Implementations, Applications, and Tools 15. Other Books You May Enjoy

Selection algorithms

Selection algorithms fall under a class of algorithms that seek to answer the problem of finding the ith-smallest element in a list. When a list is sorted in ascending order, the first element in the list will be the smallest item in the list. The second element in the list will be the second-smallest element in the list. The last element in the list will be the least-smallest (or, largest) element in the list.

In creating the heap data structure, we have come to understand that a call to the pop method will return the smallest element in the min-heap. The first element to pop off a min heap is the smallest element in the list. Similarly, the seventh element to be popped off the min heap will be the seventh-smallest element in the list. Therefore, finding the ith-smallest element in a list will require us to pop the heap i number of times. This is a very simple...

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