diff --git a/Advanced/Retrograde Analysis/main.tex b/Advanced/Retrograde Analysis/main.tex index 2884a42..bfcbb5c 100755 --- a/Advanced/Retrograde Analysis/main.tex +++ b/Advanced/Retrograde Analysis/main.tex @@ -136,71 +136,11 @@ $\odot$}} } - \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 - - \input{parts/intro} - - - \section{Simple problems} - \input{parts/easy} - - \section{Slightly harder problems} - \input{parts/medium} - - %\section{Very difficult problems} - %\input{parts/hard} + \input{parts/00 rules} + \input{parts/01 intro} + \input{parts/02 easy} + \input{parts/03 medium} + %\input{parts/04 hard} \chessboard \hfill \chessboard \par \chessboard \hfill \chessboard \par diff --git a/Advanced/Retrograde Analysis/parts/00 rules.tex b/Advanced/Retrograde Analysis/parts/00 rules.tex new file mode 100644 index 0000000..48f2b17 --- /dev/null +++ b/Advanced/Retrograde Analysis/parts/00 rules.tex @@ -0,0 +1,53 @@ +\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 \ No newline at end of file diff --git a/Advanced/Retrograde Analysis/parts/intro.tex b/Advanced/Retrograde Analysis/parts/01 intro.tex similarity index 100% rename from Advanced/Retrograde Analysis/parts/intro.tex rename to Advanced/Retrograde Analysis/parts/01 intro.tex diff --git a/Advanced/Retrograde Analysis/parts/easy.tex b/Advanced/Retrograde Analysis/parts/02 easy.tex similarity index 99% rename from Advanced/Retrograde Analysis/parts/easy.tex rename to Advanced/Retrograde Analysis/parts/02 easy.tex index 36079b6..e47d7f8 100644 --- a/Advanced/Retrograde Analysis/parts/easy.tex +++ b/Advanced/Retrograde Analysis/parts/02 easy.tex @@ -1,3 +1,7 @@ +\section{Simple problems} + + + % Sherlock, A little exercise \problem{A little exercise} %\difficulty{1}{5} diff --git a/Advanced/Retrograde Analysis/parts/medium.tex b/Advanced/Retrograde Analysis/parts/03 medium.tex similarity index 76% rename from Advanced/Retrograde Analysis/parts/medium.tex rename to Advanced/Retrograde Analysis/parts/03 medium.tex index 239f267..3a9b3dd 100644 --- a/Advanced/Retrograde Analysis/parts/medium.tex +++ b/Advanced/Retrograde Analysis/parts/03 medium.tex @@ -1,3 +1,4 @@ +\section{Slightly harder problems} % Sherlock, A matter of direction \problem{A matter of direction} @@ -38,6 +39,16 @@ Did White start on the north or south side of the board? \par + + + + + + + + + + % Arabian Knights 1 \problem{Where is the king?} %\difficulty{3}{5} @@ -195,7 +206,8 @@ White to move. Which side of the board did each color start on? \par % Arabian Knights 4 \problem{A missing piece} -\difficulty{4}{5} +%\difficulty{4}{5} +\startimes{20} There is a piece at G4, marked with a $\odot$. \par What is it, and what is its color? \par @@ -207,35 +219,72 @@ What is it, and what is its color? \par pa5, Ug4, Pb3,Pg3,Ph3, - ba2,Pb2,Pc2,Pd2,Pf2,qg2,rh2, + ba2,Pb2,Pc2,Pd2,Pf2,qg2,bh2, Kc1,Rd1,nf1,Bh1 } \begin{hintlist} Hint 1: - \hintcontent{4}{10}{ - Double-checks make all positions seem impossible... \par - Try E1 and F2 anyway. Can you add pieces to make it make sense? \par - Don't forget about promotion. + \hintcontent{1}{20}{ + What color is the missing piece? Count captures.\par + Look at the region bounded by A1 and B3. How did the bishop get there? \par + \note[Note]{This is Part 1} + \vspace{2mm} } + + + Hint 2: + \hintcontent{1}{19}{ + What was White's last move? \par + What does this tell us about White's king? \par + \note[Note]{This is Part 2} + \vspace{2mm} + } + + Hint 3: + \hintcontent{1}{18}{ + Now, look at the region bounded by G1 and H3. \par + In Part 1, we found that all of White's pieces were captured---including the H1 rook. \par + How did it get off its home square to be captured? \par + What does this tell us about the bishop on H1? \par + \note[Note]{This is Part 3} + \vspace{2mm} + } + + Hint 4: + \hintcontent{1}{17}{ + The black bishop on H2 must have been promoted on G1. \par + Which pawn was it, and how did it get there? (Remember, we counted captures in Part 1). \par + In what order did the cross capture by the G1 and H1 pawns occur? \par + \note[Note]{This is Part 4} + \vspace{2mm} + } + + Hint 5: + \hintcontent{5}{16}{ + Which black pieces are still missing? \par + Remember that White cannot castle through check. + } + + \end{hintlist} -\begin{instructornote} - \textbf{Hints to give:} (in this order) - \begin{itemize} - \item How did the black bishop on A2 get there? \note{(Part 1)} - \item How many captures has Black made? \note{(Part 1)} - \item What color is the missing piece? \note{(Part 1)} - \item What was White's last move? What does this imply? \note{(Part 2)} - \item Which white pieces were captured? \par - How did they move from their starting positions? \note{(Part 3)} - \item How did the bishop on H2 get to where it is now? \note{(Part 3)} - \item Which pawn was promoted to the bishop now on H2? \note{(Part 4)} - \item Which black pieces are still missing? \note{(Conclusion)} - \item Remember that White cannot castle through check. \note{(Conclusion)} - \end{itemize} -\end{instructornote} +%\begin{instructornote} +% \textbf{Hints to give:} (in this order) +% \begin{itemize} +% \item How did the black bishop on A2 get there? \note{(Part 1)} +% \item How many captures has Black made? \note{(Part 1)} +% \item What color is the missing piece? \note{(Part 1)} +% \item What was White's last move? What does this imply? \note{(Part 2)} +% \item Which white pieces were captured? \par +% How did they move from their starting positions? \note{(Part 3)} +% \item How did the bishop on H2 get to where it is now? \note{(Part 3)} +% \item Which pawn was promoted to the bishop now on H2? \note{(Part 4)} +% \item Which black pieces are still missing? \note{(Conclusion)} +% \item Remember that White cannot castle through check. \note{(Conclusion)} +% \end{itemize} +%\end{instructornote} \vfill \pagebreak diff --git a/Advanced/Retrograde Analysis/parts/hard.tex b/Advanced/Retrograde Analysis/parts/04 hard.tex similarity index 99% rename from Advanced/Retrograde Analysis/parts/hard.tex rename to Advanced/Retrograde Analysis/parts/04 hard.tex index 9afeb15..5576b3a 100644 --- a/Advanced/Retrograde Analysis/parts/hard.tex +++ b/Advanced/Retrograde Analysis/parts/04 hard.tex @@ -1,3 +1,5 @@ +\section{Very difficult problems} + % Arabian Knights 5 \problem{The hidden castle} \difficulty{7}{7}