Welcome!

Agile Computing Authors: William Schmarzo, Elizabeth White, Pat Romanski, Zakia Bouachraoui, Liz McMillan

Related Topics: Agile Computing, Microsoft Cloud

Agile Computing: Blog Post

Solving the Good Will Hunting Problem

Sounds simple? Well, it is.

I've seen the movie Good Will Hunting from 1997, starring Matt Damon in the role as a mathematical gifted janitor, twice. The first time I hadn’t taken a course in graph theory, the second time I had. Regarding the mathematical aspect of the movie, it makes all the difference. The second time I could actually understand the problem the professor posed when he threw down the gauntlet. In the movie the MIT professor stated a, supposedly, very tough problem that they had worked on intensely for almost two years before they were able to solve it. It reads:

"Draw all the homeomorphically irreducible trees having 10 vertices, such that no vertex has degree 2."

In plain words, connect ten dots together with lines such that all dots are connected to at least one other dot. Further, there must only be one path from any dot to any other dot, which means that circles are not allowed. Lastly, all dots must have 1, 3, or more lines connecting it to other dots, but not 2. Now draw all the different figures that satisfies the requirement.

That's what the gifted janitor did on the white board in the hallway.

Sounds simple? Well, it is – surprisingly simple actually.

In reality, the problem is no harder than any other high school problem. The real problem is quite different, namely that we accepted it was hard because Hollywood said so. A corollary to this claim could be to check the Internet and realize that many people already have solved the problem and some even before the movie. Another corollary could be to spend the next 10 minutes or so to solve it yourself, tell someone you know that has seen the movie, and then watch their reaction.

So, the only thing left now, is to challenge you to solve the problem and to present the solution.

Last week I challenged Erik Forsberg, a senior .NET consultant from Avega Group AB in Sweden. He solved the problem before he zipped his morning coffee a third time. Can you?

I've hidden the solution from plain view here.

More Stories By Martin Kaarup

Martin Kaarup began his professional career over a decade ago as a system developer on location-based mobile phone services. During that time he participated as lead developer in pioneering unique state-of-the-art location-based services for the European and Asian markets, such as low-cost fleet-tracking using antenna triangulation and applications for utilizing customer positioning data for demographic use. He also participated in building location based games, such as treasure hunts and country-wide Dungeon & Dragons-based games merging www, wap and sms technologies.

Later, he shifted to the financial sector in Scandinavia where he worked as an enterprise architect building, extending, and delivering advanced fund data solutions and services designed specifically for the pan-European Fund Industry.

Today, Martin is an employee at the Swedish consultants company Avega Group, where he focuses his expertice on consulting companies on strategic and enterprise wide issues.

Comments (0)

Share your thoughts on this story.

Add your comment
You must be signed in to add a comment. Sign-in | Register

In accordance with our Comment Policy, we encourage comments that are on topic, relevant and to-the-point. We will remove comments that include profanity, personal attacks, racial slurs, threats of violence, or other inappropriate material that violates our Terms and Conditions, and will block users who make repeated violations. We ask all readers to expect diversity of opinion and to treat one another with dignity and respect.


IoT & Smart Cities Stories
Darktrace is the world's leading AI company for cyber security. Created by mathematicians from the University of Cambridge, Darktrace's Enterprise Immune System is the first non-consumer application of machine learning to work at scale, across all network types, from physical, virtualized, and cloud, through to IoT and industrial control systems. Installed as a self-configuring cyber defense platform, Darktrace continuously learns what is ‘normal' for all devices and users, updating its understa...
At CloudEXPO Silicon Valley, June 24-26, 2019, Digital Transformation (DX) is a major focus with expanded DevOpsSUMMIT and FinTechEXPO programs within the DXWorldEXPO agenda. Successful transformation requires a laser focus on being data-driven and on using all the tools available that enable transformation if they plan to survive over the long term. A total of 88% of Fortune 500 companies from a generation ago are now out of business. Only 12% still survive. Similar percentages are found throug...
CloudEXPO has been the M&A capital for Cloud companies for more than a decade with memorable acquisition news stories which came out of CloudEXPO expo floor. DevOpsSUMMIT New York faculty member Greg Bledsoe shared his views on IBM's Red Hat acquisition live from NASDAQ floor. Acquisition news was announced during CloudEXPO New York which took place November 12-13, 2019 in New York City.
OpsRamp is an enterprise IT operation platform provided by US-based OpsRamp, Inc. It provides SaaS services through support for increasingly complex cloud and hybrid computing environments from system operation to service management. The OpsRamp platform is a SaaS-based, multi-tenant solution that enables enterprise IT organizations and cloud service providers like JBS the flexibility and control they need to manage and monitor today's hybrid, multi-cloud infrastructure, applications, and wor...
The Master of Science in Artificial Intelligence (MSAI) provides a comprehensive framework of theory and practice in the emerging field of AI. The program delivers the foundational knowledge needed to explore both key contextual areas and complex technical applications of AI systems. Curriculum incorporates elements of data science, robotics, and machine learning-enabling you to pursue a holistic and interdisciplinary course of study while preparing for a position in AI research, operations, ...
Codete accelerates their clients growth through technological expertise and experience. Codite team works with organizations to meet the challenges that digitalization presents. Their clients include digital start-ups as well as established enterprises in the IT industry. To stay competitive in a highly innovative IT industry, strong R&D departments and bold spin-off initiatives is a must. Codete Data Science and Software Architects teams help corporate clients to stay up to date with the mod...
Tapping into blockchain revolution early enough translates into a substantial business competitiveness advantage. Codete comprehensively develops custom, blockchain-based business solutions, founded on the most advanced cryptographic innovations, and striking a balance point between complexity of the technologies used in quickly-changing stack building, business impact, and cost-effectiveness. Codete researches and provides business consultancy in the field of single most thrilling innovative te...
Atmosera delivers modern cloud services that maximize the advantages of cloud-based infrastructures. Offering private, hybrid, and public cloud solutions, Atmosera works closely with customers to engineer, deploy, and operate cloud architectures with advanced services that deliver strategic business outcomes. Atmosera's expertise simplifies the process of cloud transformation and our 20+ years of experience managing complex IT environments provides our customers with the confidence and trust tha...
With the introduction of IoT and Smart Living in every aspect of our lives, one question has become relevant: What are the security implications? To answer this, first we have to look and explore the security models of the technologies that IoT is founded upon. In his session at @ThingsExpo, Nevi Kaja, a Research Engineer at Ford Motor Company, discussed some of the security challenges of the IoT infrastructure and related how these aspects impact Smart Living. The material was delivered interac...
Intel is an American multinational corporation and technology company headquartered in Santa Clara, California, in the Silicon Valley. It is the world's second largest and second highest valued semiconductor chip maker based on revenue after being overtaken by Samsung, and is the inventor of the x86 series of microprocessors, the processors found in most personal computers (PCs). Intel supplies processors for computer system manufacturers such as Apple, Lenovo, HP, and Dell. Intel also manufactu...