## Union-Find Algorithm

blogentry, programming, todayilearned, algorithm

Featured Image - "Union St. Street Sign in Bodie" by m01229, used under CC BY-NC 2.0 (Medium sized image)

There is a really cool course on Coursera regarding Union-Find. The course was quite refreshing because I was never exposed to this simple concept before.

I just wanted to share the link for those learning graph theory as I am.

Now comes the boring stuff (how I found out about it and what I did with it).

I ran into a problem solving a question, Maximal Tourism on HackerRank. The problem is about getting most connected node counts in a graph given sets of connected nodes per line.

It seemed like a very simple problem but I had trouble due to timeouts. I wanted to get some tips on how to solve the problem so I decided to check Discussion forum (I try to solve myself for hours or days before resorting to this usually).

Mikhail(@mikesmnx) posted a link to a Coursera course for those having a problem solving the problem. I was hesitant at first but decided to watch the video. After the first video in the course, I started digging it. After finishing the course, I screamed, "I know Kung-Fu".

Union-Find made me realize the flaw in my approach that I was just busy finding ways to build graphs. The better way was to caching or keeping track of connected nodes as I am building the graph. Using a tree structure never came into my mind during my attempts to solve it before watching the course.

Here is the C# version of Union-Find converted from Java (using Improved algorithm, which tracks sizes)

https://gist.github.com/dance2die/27b1c7f81bbc459c4dd7f85892f4b84e

I was able to solve the problem with this code without any timeouts. Learning a new algorithm will make your day as well!

The full source for the Maximal Tourism answer is posted on GitHub.

### Conclusion

Check out Union-Find and see how you can integrate it into your existing code base.

You can find Union-Find algorithm applications in the last video in the course.