This is the end of the lecture. I was frustrated while preparing on my own on the coding problem site and gave up on coding for a while, but while listening to this lecture, I was able to properly understand the algorithm and became interested in it again. After studying the algorithm while listening to the lecture, I realized that I need to properly understand the theory to solve other application problems. The problems are diverse and there is a grading program, so it was very helpful for improving my skills. The lecture was also very good because it explained everything thoroughly. Thank you for the great lecture!