\section{Rules} This handout contains a set of problems. You may solve them in any order. \par Each is marked with a few stars, which you collect by presenting solutions. \par An example is below. \vspace{4mm} \generic{Problem $0$:} \onestars{4} This is a problem that has two parts. \par If you solve the problem on your own, your team gets four points. \par \vspace{2mm} There are two ways you can ask for assistance: \par \begin{itemize}[itemsep=1mm] \item You may uncover a hint to a part for $\lceil 0.5 \times \text{that part's value} \rceil$ stars. \par In this problem, the hints for both part 1 and 2 cost 1 star each. \par These are always provided in order---you must solve or uncover part 1 to get a hint for part 2. \item You may also ask an instructor to check the work you have thus far. \par By doing this, you will earn stars for all parts you no longer need a hint for. \end{itemize} \begin{hintlist} Part 1: \tab\threestars{0}{1}{3} \par \hintcontent{ This is a hint. Only instructors see this. } Part 2: \tab\threestars{1}{2}{1} \par \hintcontent{ This is another hint. } \vspace{2mm} Done: \tab\threestars{3}{1}{0} \end{hintlist} \vspace{1cm} Each \say{part} corresponds to one hint in the instructor's handout. \par \say{Done} is not a hint, it is simply a bonus for completing the problem. \vfill \pagebreak