Recently I happen to see someone posts that the most beautiful data structure in his mind is Dancing Links. The name bursts my interest to understand one more idea from Dr. Knuth. (again let me paste the margin comment of Concrete Mathematics here):

Actually Gauss is often called the greatest mathematician of all time. So it’s nice to be able to understand at least one of his discoveries.

Follow the curiosity and keep youth. I am writing this blog to re-state the algorithm to confirm my understanding.