So that brings us to the end of our 
journey and concludes the course. 
And you know, I've been teaching this 
material for a number of years now. 
But it never stops being fun, never gets 
boring. 
The study of algorithms is an excuse to 
learn the many of the greatest hits of 
computer science. 
Many of the most brilliant ideas in the 
history of the discipline made 
appearances in these algorithms courses. 
So you've learned a number of elogants 
and clever algorithms and concepts. 
You've learned a bunch of practical 
techniques you can apply in your own 
programming projects, and there's been a 
remarkably large intersection between 
these two things. 
I know it hasn't always been easy. 
The state of the art in the design and 
analysis of algorithms and data 
structures is a difficult topic. 
The computer scientists who precede us 
were brilliant, creative individuals. 
You are now in a position to stand on the 
shoulders of those giants and apply their 
ideas in your own projects. 
And I wanted to be a little more starry 
eyed about things. 
I might hope that this class has left you 
a little bit changed. 
maybe a little bit more passionate or 
curious about computer science. 
Maybe a little bit smarter than when we 
started. 
Until next time.