## Discussion Questions

Monday:

• Come up with a task that can be solved via several algorithms. Come up with a very bad algorithm. Come up with a good algorithm. Why is one algorithm bad and the other good?
• What is Arthur Benjamin's multiplication algorithm? How does it compare to algorithms you know for "long multiplication"?
• Come up with a scenario like Don Norman's "toilet paper algorithms" scenario where choice of algorithms is important.
• Scott Aaronson's essay gets a bit technical, but try to understand as much as possible. What is the relationship between mathematics and algorithms? Between arithmetic and algorithms?

Wednesday:

• Come up with a problem (not mentioned in any of the readings) where a solution is easy to check, but finding a solution is hard. Bonus points if your problem is important to some academic interest of yours.
• Do you think P equals NP or not?
• What is the positive impact of P not equal to NP? Negative impact?
• What is the positive impact of P equal NP? Negative impact?