Read these instructions first!

• This hw is SOLO.  As with hw6, for this hw, you may not work with anyone else in any way, which means you may not discuss these problems with anyone else, even if you do not show them your code nor view theirs.  Except, of course, you may always discuss the problems with the course staff, who are happy to help!
   
• The same rules as hw6 apply.
   
• Start by downloading this file:  hw8.py.  Follow the directions in that file, which you will edit and then submit when completed.