Minor cleanup
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@ -136,71 +136,11 @@ $\odot$}}
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}
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\section{Rules}
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\input{parts/00 rules}
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\input{parts/01 intro}
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This handout contains a set of problems. \par
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\input{parts/02 easy}
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Each is marked with a few gold stars, which you collect by presenting a solution.
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\input{parts/03 medium}
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%\input{parts/04 hard}
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\vspace{2mm}
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Below each problem is a list of hints, written next to their cost. \par
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To get a hint, you must pay the marked number of stars. \par
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Hints are usually provided in order, and are the same for all groups. \par
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\vspace{2mm}
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There is one exception: instructors may offer certain hints for a reduced fee,
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judging by your explanation of what you have so far.
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\begin{instructornote}
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This exception is for groups that are stuck on the last bit of a problem. \par
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If they've solved most of it, give them the information they already know
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for a steep discount (or even for free).
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\end{instructornote}
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An example problem is below.
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\vspace{4mm}
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\generic{Problem $0$:}
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\starvalue{4}
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This is a problem that's worth four points. \par
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Two hints are available. The first costs two stars (of the four available). \par
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The second costs one of the two stars available \textit{after} revealing the first hint.
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\begin{hintlist}
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Hint 1:
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\hintcontent{2}{4}{This is a hint. Only instructors see this.}
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Hint 2:
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\hintcontent{1}{2}{This is another hint.}
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\end{hintlist}
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\vfill
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You may notice that hints often cost a significant fraction of their problem's score. \par
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This is intentional---don't ask for hints unless you're very, very stuck.
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\vfill
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\pagebreak
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\input{parts/intro}
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\section{Simple problems}
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\input{parts/easy}
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\section{Slightly harder problems}
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\input{parts/medium}
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%\section{Very difficult problems}
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%\input{parts/hard}
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\chessboard \hfill \chessboard \par
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\chessboard \hfill \chessboard \par
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\chessboard \hfill \chessboard \par
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\chessboard \hfill \chessboard \par
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53
Advanced/Retrograde Analysis/parts/00 rules.tex
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53
Advanced/Retrograde Analysis/parts/00 rules.tex
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@ -0,0 +1,53 @@
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\section{Rules}
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This handout contains a set of problems. \par
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Each is marked with a few gold stars, which you collect by presenting a solution.
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\vspace{2mm}
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Below each problem is a list of hints, written next to their cost. \par
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To get a hint, you must pay the marked number of stars. \par
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Hints are usually provided in order, and are the same for all groups. \par
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\vspace{2mm}
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There is one exception: instructors may offer certain hints for a reduced fee,
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judging by your explanation of what you have so far.
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\begin{instructornote}
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This exception is for groups that are stuck on the last bit of a problem. \par
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If they've solved most of it, give them the information they already know
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for a steep discount (or even for free).
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\end{instructornote}
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An example problem is below.
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\vspace{4mm}
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\generic{Problem $0$:}
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\starvalue{4}
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This is a problem that's worth four points. \par
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Two hints are available. The first costs two stars (of the four available). \par
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The second costs one of the two stars available \textit{after} revealing the first hint.
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\begin{hintlist}
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Hint 1:
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\hintcontent{2}{4}{This is a hint. Only instructors see this.}
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Hint 2:
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\hintcontent{1}{2}{This is another hint.}
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\end{hintlist}
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\vfill
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You may notice that hints often cost a significant fraction of their problem's score. \par
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This is intentional---don't ask for hints unless you're very, very stuck.
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\vfill
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\pagebreak
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@ -1,3 +1,7 @@
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\section{Simple problems}
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% Sherlock, A little exercise
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% Sherlock, A little exercise
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\problem{A little exercise}
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\problem{A little exercise}
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%\difficulty{1}{5}
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%\difficulty{1}{5}
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@ -1,3 +1,4 @@
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\section{Slightly harder problems}
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% Sherlock, A matter of direction
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% Sherlock, A matter of direction
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\problem{A matter of direction}
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\problem{A matter of direction}
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@ -38,6 +39,16 @@ Did White start on the north or south side of the board? \par
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% Arabian Knights 1
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% Arabian Knights 1
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\problem{Where is the king?}
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\problem{Where is the king?}
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%\difficulty{3}{5}
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%\difficulty{3}{5}
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@ -195,7 +206,8 @@ White to move. Which side of the board did each color start on? \par
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% Arabian Knights 4
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% Arabian Knights 4
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\problem{A missing piece}
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\problem{A missing piece}
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\difficulty{4}{5}
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%\difficulty{4}{5}
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\startimes{20}
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There is a piece at G4, marked with a $\odot$. \par
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There is a piece at G4, marked with a $\odot$. \par
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What is it, and what is its color? \par
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What is it, and what is its color? \par
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@ -207,35 +219,72 @@ What is it, and what is its color? \par
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pa5,
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pa5,
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Ug4,
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Ug4,
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Pb3,Pg3,Ph3,
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Pb3,Pg3,Ph3,
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ba2,Pb2,Pc2,Pd2,Pf2,qg2,rh2,
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ba2,Pb2,Pc2,Pd2,Pf2,qg2,bh2,
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Kc1,Rd1,nf1,Bh1
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Kc1,Rd1,nf1,Bh1
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}
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}
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\begin{hintlist}
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\begin{hintlist}
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Hint 1:
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Hint 1:
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\hintcontent{4}{10}{
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\hintcontent{1}{20}{
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Double-checks make all positions seem impossible... \par
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What color is the missing piece? Count captures.\par
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Try E1 and F2 anyway. Can you add pieces to make it make sense? \par
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Look at the region bounded by A1 and B3. How did the bishop get there? \par
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Don't forget about promotion.
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\note[Note]{This is Part 1}
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\vspace{2mm}
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}
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}
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Hint 2:
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\hintcontent{1}{19}{
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What was White's last move? \par
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What does this tell us about White's king? \par
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\note[Note]{This is Part 2}
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\vspace{2mm}
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}
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Hint 3:
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\hintcontent{1}{18}{
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Now, look at the region bounded by G1 and H3. \par
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In Part 1, we found that all of White's pieces were captured---including the H1 rook. \par
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How did it get off its home square to be captured? \par
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What does this tell us about the bishop on H1? \par
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\note[Note]{This is Part 3}
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\vspace{2mm}
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}
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Hint 4:
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\hintcontent{1}{17}{
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The black bishop on H2 must have been promoted on G1. \par
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Which pawn was it, and how did it get there? (Remember, we counted captures in Part 1). \par
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In what order did the cross capture by the G1 and H1 pawns occur? \par
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\note[Note]{This is Part 4}
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\vspace{2mm}
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}
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Hint 5:
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\hintcontent{5}{16}{
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Which black pieces are still missing? \par
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Remember that White cannot castle through check.
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}
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\end{hintlist}
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\end{hintlist}
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\begin{instructornote}
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%\begin{instructornote}
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\textbf{Hints to give:} (in this order)
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% \textbf{Hints to give:} (in this order)
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\begin{itemize}
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% \begin{itemize}
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\item How did the black bishop on A2 get there? \note{(Part 1)}
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% \item How did the black bishop on A2 get there? \note{(Part 1)}
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\item How many captures has Black made? \note{(Part 1)}
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% \item How many captures has Black made? \note{(Part 1)}
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\item What color is the missing piece? \note{(Part 1)}
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% \item What color is the missing piece? \note{(Part 1)}
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\item What was White's last move? What does this imply? \note{(Part 2)}
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% \item What was White's last move? What does this imply? \note{(Part 2)}
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\item Which white pieces were captured? \par
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% \item Which white pieces were captured? \par
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How did they move from their starting positions? \note{(Part 3)}
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% How did they move from their starting positions? \note{(Part 3)}
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\item How did the bishop on H2 get to where it is now? \note{(Part 3)}
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% \item How did the bishop on H2 get to where it is now? \note{(Part 3)}
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\item Which pawn was promoted to the bishop now on H2? \note{(Part 4)}
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% \item Which pawn was promoted to the bishop now on H2? \note{(Part 4)}
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\item Which black pieces are still missing? \note{(Conclusion)}
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% \item Which black pieces are still missing? \note{(Conclusion)}
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\item Remember that White cannot castle through check. \note{(Conclusion)}
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% \item Remember that White cannot castle through check. \note{(Conclusion)}
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\end{itemize}
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% \end{itemize}
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\end{instructornote}
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%\end{instructornote}
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\vfill
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\vfill
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\pagebreak
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\pagebreak
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@ -1,3 +1,5 @@
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\section{Very difficult problems}
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% Arabian Knights 5
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% Arabian Knights 5
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\problem{The hidden castle}
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\problem{The hidden castle}
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\difficulty{7}{7}
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\difficulty{7}{7}
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