In this chapter, we discuss the self-avoiding path enumeration problem featured in the YouTube animated video. This problem has become a well-known example for illustrating the fascinating power of algorithmic techniques, making it impressive even to young students and non-experts. We outline the concept of binary decision trees for efficiently solving this problem and introduce the data structure known as decision diagrams. Following that, we provide an overview of the Simpath algorithm proposed by Knuth. We also present examples showing that, even for problems with exponential computational complexity, algorithmic improvements can reduce computation times by billions of times. Furthermore, we discuss the critical role that algorithmic technology plays in societal advancement.