Learn an Algorithm in 60 Seconds – Combinations











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Become a sponsor to access source code ►   / zoranhorvat   • Join Discord server with topics on C# ► https://codinghelmet.com/go/discord • Enroll course Beginning Object-Oriented Programming with C# ► https://codinghelmet.com/go/beginning... • Subscribe ►    / @zoran-horvat   • Learn an algorithm in 60 seconds! • Given two non-negative numbers, write the function that counts the ways to pick k elements out of n - also known as the number of combinations. • k is not greater than n. • You can calculate it via factorials. • But factorials quickly lead to integer overflow. • The winning idea is to derive an alternate fractional expression. • Now you see that we can do one multiplication and one division in lockstep, making the intermediate result very close to the final result. • Let's start. • If any of the numbers is zero, there is precisely one combination - the empty one. • Initialize the result to 1. • Iterate through values. • Carefully evade integer overflow and quit if it would happen. • Do the multiplication, then the division. • And, voila, you have got your algorithm. • Follow the link to my long videos and learn more about programming in C#. • ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ • 👨 About Me 👨 • Hi, I’m Zoran, I have more than 20 years of experience as a software developer, architect, team lead, and more. I have been programming in C# since its inception in the early 2000s. Since 2017 I have started publishing professional video courses at Pluralsight and Udemy and by this point, there are over 100 hours of the highest-quality videos you can watch on those platforms. On my YouTube channel, you can find shorter video forms focused on clarifying practical issues in coding, design, and architecture of .NET applications.❤️ • ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ • ⚡️COPYRIGHT NOTICE: • The Copyright Laws of the United States recognize a “fair use” of copyrighted content. Section 107 of the U.S. Copyright Act states: “Notwithstanding the provisions of sections 106 and 106A, the fair use of a copyrighted work, including such use by reproduction in copies or phono records or by any other means specified by that section, for purposes such as criticism, comment, news reporting, teaching (including multiple copies for classroom use), scholarship, or research, is not an infringement of copyright. This video and our youtube channel, in general, may contain certain copyrighted works that were not specifically authorized to be used by the copyright holder(s), but which we believe in good faith are protected by federal law and the Fair use doctrine for one or more of the reasons noted above.

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