Conceptual Solutions to (CLRS) Introduction to Algorithms

Part II : Sorting and Order Statistics

This book provides conceptual solutions to all the exercises and problems in Part II (Sorting and Order Statistics) of the text-book : Introduction to Algorithms by CLRS third edition.

Chandra Shekhar Kumar

This book provides conceptual solutions to all the exercises and problems in Part II (Sorting and Order Statistics) of the text-book : Introduction to Algorithms by CLRS third edition.

Minimum price

$9.99

$49.99

You pay

$49.99

Author earns

$39.99

PDF

Pages

About

About the Book

Back in 2000, solving the problems and exercises given in the text-book of Introduction to Algorithms by CLRS had a terrorizing effect on me, irrespective of the outcome of the countless hours, full of perspiration and inspiration, laced with joy and surrendering to the sheer beauty and elegance of each problem, sub-problem, ... woven with multi-concepts.. Whenever stuck, I used to revise the concepts embedded in the text-book and related references, monographs, take a break and start all over... an irresistible journey... back n forth between the classics of CLRS and others.

As time grew, I ended up stocking a huge pile of sheets comprising of my notes as an endeavor to solve and devour the entire book and beyond (needless to mention that I laid my hands on everything I could in my pursuit).

Somewhere in 2007, I started collating and organizing my notes to instill coherence and capture the elegance in the flow.

The present work is an outcome of this pursuit, which will serve as a complete guide to private students reading the subject with few or no opportunities of instruction. This will save the time and lighten the work of Teachers as well. This book helps in acquiring a better understanding of the basic principles of algorithms and in revising a large amount of the subject matter quickly.

This book provides conceptual solutions to all the exercises and problems in Part II (Sorting and Order Statistics) of the book's third edition. This leads to simplification of algorithmic paradigm and enforces correctness as a part of algorithm design with great emphasis on foundational science of algorithms. Familiarity with elementary calculus and probability is assumed. Though aimed primarily at programmers, it imparts the knowledge of deep internals of underlying mathematical concepts to teachers alike.

Care has been taken, as in the forthcoming ones, to present the solutions with multi-concepts and beyond in a simple natural manner, in order to meet the difficulties which are most likely to arise, and to render the work intelligible and instructive.

This work contains several variations of problems, solutions, methods, approaches to enrich, strengthen and enliven the inherent multi-concepts.

Share this book

Feedback

Email the Author

Author

About the Author

Chandra Shekhar Kumar

Chandra Shekhar Kumar is Staff Software Architect @ GE Healthcare (Ultrasound Digital Solutions). In an innovator role, he is actively involved in digital Innovation in Ultrasound ecosystem (premise, edge and cloud) including (but not limited to) C++17/20/23, Boost C++ Libraries, WineLib, Qt, wxWidgets, WebAssembly, NATS.io, Hashicorp Nomad and Rust. Motto is to build once and run everywhere using the same code base (using and extending WebAssembly Infrastructure)

He is Co-Founder of Ancient Science Publishers (estd.2014), a venture to publish monographs on mathematics, physics and computer science and render services related to hiring technical talents, training for competitive programming, algorithms, programming interviews, IITJEE and Olympiads. Inspiration for this undertaking came from the writings of Leonhard Euler (mathematics), Richard Phillips Feynman (physics) and Edsger Wybe Dijkstra (computer science).

https://ancientscience.github.io/

He is Founder of Ancient Kriya Yoga Mission (estd.2013), a venture to disseminate simple techniques of ancient science of living and publish kriya yoga scriptures and commentaries.

He holds a degree of Integrated M.Sc.(5 yrs) in Physics from IIT Kanpur.

He has worked with software companies like Trilogy, Oracle and few start-ups.

He has been programming in C++ for the last 22 years. He loves to hack gcc, gdb, valgrind, clang, boost, TeX, LaTeX and pours inside the works of Dijkstra and Knuth.

Table of Contents

II Sorting and Order Statistics

6 Heapsort

6.1 Heaps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

6.2 Maintaining the heap property . . . . . . . . . . . . . . . . . . . . . . . . . . .

6.3 Building a heap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

6.4 The heapsort algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

6.5 Priority queues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

7 Quicksort

7.1 Description of quicksort . . . . . . .

7.2 Description of quicksort . . . . . . .

7.3 Performance of quicksort . . . . . .

7.4 A randomized version of quicksort .

7.5 Analysis of quicksort . . . . . . . . . .

8 Sorting in Linear Time

8.1 Lower bounds for sorting

8.2 Counting sort . . . . . . .

8.3 Radix sort . . . . . . . . .

8.4 Bucket sort . . . . . . . . . .

9 Median and Order Statistics

9.1 Minimum and Maximum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

9.2 Selection in expected linear time . . . . . . . . . . . . . . . . . . . . . . . . .

9.3 Selection in worst-case linear time . . . . . . . . . . . . . . . . . . . . . . . .

The Leanpub 60 Day 100% Happiness Guarantee

Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.

Now, this is technically risky for us, since you'll have the book or course files either way. But we're so confident in our products and services, and in our authors and readers, that we're happy to offer a full money back guarantee for everything we sell.

You can only find out how good something is by trying it, and because of our 100% money back guarantee there's literally no risk to do so!

So, there's no reason not to click the Add to Cart button, is there?

See full terms...

Earn $8 on a $10 Purchase, and $16 on a $20 Purchase

We pay 80% royalties on purchases of $7.99 or more, and 80% royalties minus a 50 cent flat fee on purchases between $0.99 and $7.98. You earn $8 on a $10 sale, and $16 on a $20 sale. So, if we sell 5000 non-refunded copies of your book for $20, you'll earn $80,000.

(Yes, some authors have already earned much more than that on Leanpub.)

In fact, authors have earned over $14 million writing, publishing and selling on Leanpub.

Learn more about writing on Leanpub

Free Updates. DRM Free.

If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).

Most Leanpub books are available in PDF (for computers) and EPUB (for phones, tablets and Kindle). The formats that a book includes are shown at the top right corner of this page.

Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.

Learn more about Leanpub's ebook formats and where to read them

Write and Publish on Leanpub

You can use Leanpub to easily write, publish and sell in-progress and completed ebooks and online courses!

Leanpub is a powerful platform for serious authors, combining a simple, elegant writing and publishing workflow with a store focused on selling in-progress ebooks.

Leanpub is a magical typewriter for authors: just write in plain text, and to publish your ebook, just click a button. (Or, if you are producing your ebook your own way, you can even upload your own PDF and/or EPUB files and then publish with one click!) It really is that easy.

Learn more about writing on Leanpub