\section{Rules}

This handout contains a set of problems. \par
Each is marked with a few gold stars, which you collect by presenting a solution.

\vspace{2mm}

Below each problem is a list of hints, written next to their cost. \par
To get a hint, you must pay the marked number of stars. \par
Hints are usually provided in order, and are the same for all groups. \par

\vspace{2mm}

There is one exception: instructors may offer certain hints for a reduced fee,
judging by your explanation of what you have so far.

\begin{instructornote}
    This exception is for groups that are stuck on the last bit of a problem. \par
    If they've solved most of it, give them the information they already know
    for a steep discount (or even for free).
\end{instructornote}



An example problem is below.

\vspace{4mm}

\generic{Problem $0$:}
\starvalue{4}

This is a problem that's worth four points. \par
Two hints are available. The first costs two stars (of the four available). \par
The second costs one of the two stars available \textit{after} revealing the first hint.

\begin{hintlist}
    Hint 1:
    \hintcontent{2}{4}{This is a hint. Only instructors see this.}

    Hint 2:
    \hintcontent{1}{2}{This is another hint.}
\end{hintlist}

\vfill

You may notice that hints often cost a significant fraction of their problem's score. \par
This is intentional---don't ask for hints unless you're very, very stuck.




\vfill
\pagebreak