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Removed chess game

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Mark 2023-12-10 19:41:24 -08:00
parent 774e75aa58
commit 512cf90fc4
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GPG Key ID: C6D63995FE72FD80
7 changed files with 41 additions and 451 deletions
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20
Advanced/Retrograde Analysis/chess-setup.tex
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@ -17,25 +17,13 @@
\par \par
} }
\long\def\sixboards#1{
\twoboards{#1}
\vfill
\twoboards{#1}
\vfill
\twoboards{#1}
}
\makeatletter \makeatletter
\long\def\manyboards#1{ \long\def\manyboards#1{
\ifextras \if@solutions
\sixboards{#1} \twoboards{#1}
\else \else
\if@solutions \twoboards{#1}
\twoboards{#1} \twoboards{#1}
\else
\twoboards{#1}
\twoboards{#1}
\fi
\fi \fi
} }

93
Advanced/Retrograde Analysis/main.tex
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@ -1,83 +1,23 @@
% use [nosolutions] flag to hide solutions. % use [nosolutions] flag to hide solutions.
% use [solutions] flag to show solutions. % use [solutions] flag to show solutions.
\documentclass[ \documentclass[
solutions solutions,
shortwarning
]{../../resources/ormc_handout} ]{../../resources/ormc_handout}
\usepackage{../../resources/macros} \usepackage{../../resources/macros}
% If true, this will be an "extras" handout
% (minimal, extra copies of chessboards.)
%
% This assumes nosolutions.
\newif\ifextras
\extrasfalse
\ifextras
% Force-disable page numbers
% and leave bit more room for the six chessboards.
\pagestyle{empty}
\geometry{
bottom = 20mm,
footskip = 5mm,
}
\fi
\usepackage{chessfss} \usepackage{chessfss}
\usepackage{chessboard} \usepackage{chessboard}
\usepackage{anyfontsize} % Silences some chess warnings \usepackage{anyfontsize} % Silences some chess warnings
\usepackage{afterpage} \usepackage{afterpage}
\usepackage[hang]{footmisc} \usepackage[hang]{footmisc}
% Modify default tab positions for better stars in score decomposition
\TabPositions{1.2cm, 2cm, 3cm, 4cm, 5cm, 6cm, 7cm, 8cm}
\input{chess-setup} \input{chess-setup}
\input{stars}
\def\difficulty#1#2{
\makeatletter \textbf{Difficulty:} \stars{#1}{#2} \par
\vspace{1mm}
\@makeORMCbox{@hintlist}
{Score Decomposition:}
{black!12!white}
{black!80!white}
\ifextras
\excludecomment{hintlist}
\else
\newenvironment{hintlist}{
\begin{@hintlist}
}{
% Remove vspace from the last \hintcontent
\if@solutions\vspace{-2mm}\fi
\end{@hintlist}
} }
\fi
\long\def\hintcontent#1{
\if@solutions
#1 \par
\vspace{2mm}
\fi
}
\makeatother
\uptitlel{Advanced 2} \uptitlel{Advanced 2}
\uptitler{Fall 2023} \uptitler{Fall 2023}
@ -89,25 +29,16 @@
\begin{document} \begin{document}
\ifextras\else \maketitle
\maketitle
\footnotetext[1]{ \footnotetext[1]{
Most of the easy problems in this handout are from \textit{The Chess Mysteries of Sherlock Holmes}.\\ Most of the easy problems in this handout are from \textit{The Chess Mysteries of Sherlock Holmes}.\\
The rest are from \textit{The Chess Mysteries of the Arabian Knights}. The rest are from \textit{The Chess Mysteries of the Arabian Knights}.
} }
\input{parts/00 rules} \input{parts/01 intro}
\input{parts/01 intro}
\fi
\input{parts/02 easy} \input{parts/02 easy}
\input{parts/03 medium} \input{parts/03 medium}
%\input{parts/04 hard} \input{parts/04 hard}
\ifextras
\sixboards{}
\vfill\pagebreak
\fi
\end{document} \end{document}

51
Advanced/Retrograde Analysis/parts/00 rules.tex
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@ -1,51 +0,0 @@
\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

17
Advanced/Retrograde Analysis/parts/01 intro.tex
View File

@ -137,22 +137,5 @@ A king and rook can \textit{castle} under the following conditions:
\end{minipage} \end{minipage}
\par \par
\vfill
\generic{General Strategies:}
As you solve problems, keep the following in mind. \par
You may want to return to this list if you get stuck.
\begin{itemize}
\item What was the last move? (By black or white)
\item Were there any promotions? The implication may be indirect: \par
if White needs a third bishop, there was a promotion. \par
\note{Promotions often resolve seemingly impossible situations.}
\item Do not assume that Black and White play well.
You may only assume they play \textit{correctly}.
\end{itemize}
\vfill \vfill
\pagebreak \pagebreak

166
Advanced/Retrograde Analysis/parts/02 easy.tex
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@ -1,21 +1,16 @@
\ifextras\else \section{Simple problems}
\section{Simple problems}
\fi
% Sherlock, A little exercise % Sherlock, A little exercise
\problem{A little exercise} \problem{A little exercise}
%\difficulty{1}{5} \difficulty{1}{5}
\onestars{3}
Black has just moved in the game below. White started on the south side of the board.\par Black has just moved in the game below. White started on the south side of the board.\par
What was Black's last move, and what was White's last move? \par What was Black's last move, and what was White's last move? \par
\ifextras\else
\note[Note]{ \note[Note]{
The boards below are identical copies. Scribble to your heart's content.\\ The boards below are identical copies. Scribble to your heart's content.\\
There a few empty boards at the end of this handout as well. There a few empty boards at the end of this handout as well.
} }
\fi
\manyboards{ \manyboards{
ka8,Kc8, ka8,Kc8,
@ -23,21 +18,6 @@ What was Black's last move, and what was White's last move? \par
Bg1 Bg1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{1}{2} \par
\hintcontent{
What was Black's last move? What did White do to make this happen?
}
Part 2: \tab\threestars{1}{1}{1} \par
\hintcontent{
White uncovered a check. What piece did Black capture?
}
\vspace{2mm}
Done: \tab\threestars{2}{1}{0}
\end{hintlist}
\begin{solution} \begin{solution}
It's pretty clear that Black just moved out of check from A7. It's pretty clear that Black just moved out of check from A7.
@ -73,8 +53,8 @@ What was Black's last move, and what was White's last move? \par
% Sherlock, Which color? % Sherlock, Which color?
\problem{Which color?} \problem{Which color?}
%\difficulty{2}{5} \difficulty{2}{5}
\onestars{4}
In the game below, no pieces have moved from a black square to a white square, or from a white square to a black square. In the game below, no pieces have moved from a black square to a white square, or from a white square to a black square.
There is a pawn at G3. What color is it? \par There is a pawn at G3. What color is it? \par
As before, White started on the bottom of the board. As before, White started on the bottom of the board.
@ -86,23 +66,6 @@ As before, White started on the bottom of the board.
Pd2,Pf2 Pd2,Pf2
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{1}{3} \par
\hintcontent{
How did the white king get off E1? It must have castled!
}
Part 2: \tab\threestars{1}{1}{2} \par
\hintcontent{
It castled kingside (how do we know?) \par
Now, how did it get off G1?
}
\vspace{2mm}
Done: \tab\threestars{2}{2}{0}
\end{hintlist}
\begin{solution} \begin{solution}
The white king is the key to this solution. How did it get off of E1? \par The white king is the key to this solution. How did it get off of E1? \par
It must have castled kingside---castling queenside would move a rook from black to white. It must have castled kingside---castling queenside would move a rook from black to white.
@ -131,8 +94,7 @@ As before, White started on the bottom of the board.
% Arabian Knights 2 % Arabian Knights 2
\problem{Invisible, but not invincible} \problem{Invisible, but not invincible}
%\difficulty{2}{5} \difficulty{2}{5}
\onestars{4}
The black king has turned himself invisible. Unfortunately, his position is hopeless. \par The black king has turned himself invisible. Unfortunately, his position is hopeless. \par
Mate the king in one move. \par Mate the king in one move. \par
@ -143,14 +105,6 @@ Mate the king in one move. \par
Pa6,Rc6 Pa6,Rc6
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{1}{3} \par
\hintcontent{Don't forget about promotion.}
\vspace{2mm}
Done: \tab\threestars{1}{3}{0}
\end{hintlist}
\begin{solution} \begin{solution}
Since it is White's move, Black cannot be in check. \par Since it is White's move, Black cannot be in check. \par
So, either White is in check or the black king is on C8. \par So, either White is in check or the black king is on C8. \par
@ -173,8 +127,8 @@ Mate the king in one move. \par
% Sherlock, a question of survival % Sherlock, a question of survival
\problem{An empty board} \problem{An empty board}
%\difficulty{2}{5} \difficulty{2}{5}
\onestars{4}
In the game below, no pieces have moved from a black square to a white square, or from a white square to a black square. In the game below, no pieces have moved from a black square to a white square, or from a white square to a black square.
There is one more piece on the board, which isn't shown. What color square does it stand on? \par There is one more piece on the board, which isn't shown. What color square does it stand on? \par
@ -184,16 +138,6 @@ There is one more piece on the board, which isn't shown. What color square does
Ke1 Ke1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{1}{3} \par
\hintcontent{Which piece performed the last capture on a black square?}
\vspace{2mm}
Done: \tab\threestars{1}{3}{0}
\end{hintlist}
\begin{solution} \begin{solution}
Which piece performed the last capture on a black square? It couldn't have been a white pawn, which haven't moved. Which piece performed the last capture on a black square? It couldn't have been a white pawn, which haven't moved.
@ -211,8 +155,8 @@ There is one more piece on the board, which isn't shown. What color square does
% Sherlock, another monochromatic % Sherlock, another monochromatic
\problem{The knight's grave} \problem{The knight's grave}
%\difficulty{3}{5} \difficulty{3}{5}
\onestars{4}
In the game below, no pieces have moved from a black square to a white square, or from a white square to a black square. In the game below, no pieces have moved from a black square to a white square, or from a white square to a black square.
The white king has made less than fourteen moves. \par The white king has made less than fourteen moves. \par
Use this information to show that a pawn was promoted. \par Use this information to show that a pawn was promoted. \par
@ -223,15 +167,6 @@ Use this information to show that a pawn was promoted. \par
Ke1 Ke1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{1}{3} \par
\hintcontent{
Who took the knights? Only one of them is interesting---most are easy to account for.
}
\vspace{2mm}
Done: \tab\threestars{1}{3}{0}
\end{hintlist}
\begin{solution} \begin{solution}
Knights always move to a different colored square, so all four missing knights must have been captured on their home square. Knights always move to a different colored square, so all four missing knights must have been captured on their home square.
What pieces captured them? What pieces captured them?
@ -256,8 +191,8 @@ Use this information to show that a pawn was promoted. \par
% Arabian Knights, intro (given with solution) % Arabian Knights, intro (given with solution)
\problem{Promotion?} \problem{Promotion?}
%\difficulty{2}{5} \difficulty{2}{5}
\onestars{6}
It is White's move. Have there been any promotions this game? \par It is White's move. Have there been any promotions this game? \par
@ -266,18 +201,6 @@ It is White's move. Have there been any promotions this game? \par
Bc1,Kd1,Rh1 Bc1,Kd1,Rh1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{4}{2} \par
\hintcontent{
The black king must have moved from F1. (Why not G1?) \par
This would be impossible if something hadn't blocked check from the white rook.
}
\vspace{2mm}
Done: \tab\threestars{4}{2}{0}
\end{hintlist}
\begin{solution} \begin{solution}
Since it is White's move, Black has just moved his king. Where did he move it from? Since it is White's move, Black has just moved his king. Where did he move it from?
@ -303,8 +226,7 @@ It is White's move. Have there been any promotions this game? \par
% Sherlock Holmes, two bagatelles (1) % Sherlock Holmes, two bagatelles (1)
\problem{Whodunit} \problem{Whodunit}
%\difficulty{2}{5} \difficulty{2}{5}
\onestars{6}
It is Black's move. Can Black castle? \par It is Black's move. Can Black castle? \par
\hint{Remember the rules of chess: you may not castle if you've moved your rook.} \hint{Remember the rules of chess: you may not castle if you've moved your rook.}
@ -318,18 +240,6 @@ It is Black's move. Can Black castle? \par
Bc1,Qd1,Ke1,Bf1 Bc1,Qd1,Ke1,Bf1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{4}{2} \par
\hintcontent{
Black captured a knight on his last move. \par
Why do we know this, and how did he do it?
}
\vspace{2mm}
Done: \tab\threestars{4}{2}{0}
\end{hintlist}
\begin{solution} \begin{solution}
White's last move was with the pawn. \par White's last move was with the pawn. \par
Black's last move must have been to capture the white piece which moved before that. Black's last move must have been to capture the white piece which moved before that.
@ -365,8 +275,7 @@ It is Black's move. Can Black castle? \par
% Sherlock Holmes, two bagatelles (2) % Sherlock Holmes, two bagatelles (2)
\problem{Castle contradiction} \problem{Castle contradiction}
%\difficulty{2}{5} \difficulty{2}{5}
\startimes{7}
Neither Black nor White captured a piece on their last move. \par Neither Black nor White captured a piece on their last move. \par
It is Black's move. Can he castle? \par It is Black's move. Can he castle? \par
@ -381,19 +290,6 @@ It is Black's move. Can he castle? \par
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{4}{3} \par
\hintcontent{
If White moved his king, Black cannot castle. Why? \par
That's the simple case. The other option: White castled. What did Black do before that?
(Also, there was a promotion in this case.)
}
\vspace{2mm}
Done: \tab\threestars{4}{3}{0}
\end{hintlist}
\begin{solution} \begin{solution}
If White's last move was with the king, then the black rook moved to check him and Black can't castle. If White's last move was with the king, then the black rook moved to check him and Black can't castle.
@ -428,8 +324,7 @@ It is Black's move. Can he castle? \par
% Arabian Knights, intro (given with solution) % Arabian Knights, intro (given with solution)
\problem{A matter of order} \problem{A matter of order}
%\difficulty{3}{5} \difficulty{3}{5}
\startimes{8}
A black bishop captured a White piece earlier in this game. \par A black bishop captured a White piece earlier in this game. \par
Which bishop was it, and what did it capture? \par Which bishop was it, and what did it capture? \par
@ -446,37 +341,6 @@ Which bishop was it, and what did it capture? \par
Kc1,Rd1,Rh1 Kc1,Rd1,Rh1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{1}{7} \par
\hintcontent{
\begin{itemize}
\item How many pieces are missing? Where were the missing ones captured?
\item How did those pieces get to the place they were captured?
\end{itemize}
}
Part 2: \tab\threestars{1}{2}{5} \par
\hintcontent{
\begin{itemize}
\item The pawn on C3 came from D2, capturing a black rook.
\item The black rook it captured couldn't have moved there before...
\end{itemize}
}
Part 3: \tab\threestars{3}{3}{2} \par
\hintcontent{
\begin{itemize}
\item ...the black pawn on G7 captured a white piece on H6.
\item What else is missing?
\end{itemize}
}
\vspace{2mm}
Done: \tab\threestars{6}{2}{0}
\end{hintlist}
\begin{solution} \begin{solution}
First, notice that the pawn on C3 came from D2 by capturing a piece. \par First, notice that the pawn on C3 came from D2 by capturing a piece. \par
This must have been a black rook, which is the only missing black piece. This must have been a black rook, which is the only missing black piece.

106
Advanced/Retrograde Analysis/parts/03 medium.tex
View File

@ -1,11 +1,9 @@
\ifextras\else \section{Slightly harder problems}
\section{Slightly harder problems}
\fi
% Sherlock, A matter of direction % Sherlock, A matter of direction
\problem{A matter of direction} \problem{A matter of direction}
%\difficulty{3}{5} \difficulty{3}{5}
\onestars{4}
The results of a game of chess are shown below. \par The results of a game of chess are shown below. \par
Did White start on the north or south side of the board? \par Did White start on the north or south side of the board? \par
@ -18,15 +16,6 @@ Did White start on the north or south side of the board? \par
Bh1 Bh1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{2}{2} \par
\hintcontent{
The bishop on H1 is important. How did White deliver this check?
}
\vspace{2mm}
Done: \tab\threestars{2}{2}{0}
\end{hintlist}
\begin{solution} \begin{solution}
Let us first find White's last move. It wasn't with the pawns on D4 and E5, since Black wouldn't have a move before that. Let us first find White's last move. It wasn't with the pawns on D4 and E5, since Black wouldn't have a move before that.
(Note the double-check on A7). (Note the double-check on A7).
@ -57,8 +46,8 @@ Did White start on the north or south side of the board? \par
% Arabian Knights 1 % Arabian Knights 1
\problem{Where is the king?} \problem{Where is the king?}
%\difficulty{3}{5} \difficulty{3}{5}
\startimes{8}
The white king has again become invisible. Find him. \par The white king has again become invisible. Find him. \par
\hint{White started on the bottom. En passant.} \par \hint{White started on the bottom. En passant.} \par
@ -70,31 +59,6 @@ The white king has again become invisible. Find him. \par
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{2}{6} \par
\hintcontent{
Either the white king is on B3, or Black is in check. \par
First, show that the latter implies the former.
}
Part 2: \tab\threestars{2}{2}{4} \par
\hintcontent{
Moving back in time, you'll need to add two pieces to the board (not counting the king). \par
They have been captured!
}
\vspace{2mm}
Done: \tab\threestars{4}{4}{0}
\end{hintlist}
\makeatletter
\if@solutions
\vfill
\pagebreak
\fi
\makeatother
\begin{solution} \begin{solution}
Looking at the board, we see that the white king is on B3 or Black is in check. Looking at the board, we see that the white king is on B3 or Black is in check.
@ -153,8 +117,8 @@ The white king has again become invisible. Find him. \par
% Arabian Knights, intro (given with solution) % Arabian Knights, intro (given with solution)
\problem{Double-checks} \problem{Double-checks}
%\difficulty{3}{5} \difficulty{3}{5}
\startimes{10}
White to move. Which side of the board did each color start on? \par White to move. Which side of the board did each color start on? \par
\hint{What was Black's last move? } \hint{What was Black's last move? }
@ -165,18 +129,6 @@ White to move. Which side of the board did each color start on? \par
Nd1,kf1,Kh1 Nd1,kf1,Kh1
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{6}{3} \par
\hintcontent{
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.
}
\vspace{2mm}
Done: \tab\threestars{6}{3}{0}
\end{hintlist}
\begin{solution} \begin{solution}
Black's last move was from F2, where his king was in double-check from both a rook and a knight. Black's last move was from F2, where his king was in double-check from both a rook and a knight.
How did this happen? How did this happen?
@ -217,13 +169,12 @@ White to move. Which side of the board did each color start on? \par
% Arabian Knights 4 % Arabian Knights 4
\problem{A missing piece} \problem{A missing piece}
%\difficulty{4}{5} \difficulty{4}{5}
\startimes{20}
There is a piece at G4, marked with a $\odot$. \par There is a piece at G4, marked with a $\odot$. \par
What is it, and what is its color? \par What is it, and what is its color? \par
\manyboards{ \manyboards{
ra8,ke8,rh8, ra8,ke8,rh8,
pc7,pd7, pc7,pd7,
@ -236,44 +187,6 @@ What is it, and what is its color? \par
} }
\begin{hintlist}
Part 1: \tab\threestars{0}{2}{18} \par
\hintcontent{
What color is the missing piece? Count captures.\par
Look at the region bounded by A1 and B3. How did the bishop get there?
}
Part 2: \tab\threestars{2}{2}{16} \par
\hintcontent{
What was White's last move? \par
What does this tell us about White's king?
}
Part 3: \tab\threestars{4}{4}{12} \par
\hintcontent{
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?
}
Part 4: \tab\threestars{8}{3}{9} \par
\hintcontent{
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?
}
Part 5: \tab\threestars{11}{2}{7} \par
\hintcontent{
Which black pieces are still missing? \par
Remember that White cannot castle through check.
}
\vspace{2mm}
Done: \tab\threestars{13}{7}{0}
\end{hintlist}
\makeatletter \makeatletter
\if@solutions \if@solutions
\vfill \vfill
@ -281,6 +194,7 @@ What is it, and what is its color? \par
\fi \fi
\makeatother \makeatother
\begin{solution} \begin{solution}
\textbf{Part 1:} \textbf{Part 1:}

39
Advanced/Retrograde Analysis/stars.tex
View File

@ -1,40 +1 @@
\ifextras
\def\nstars#1#2{}
\def\startimes#1{}
\def\onestars#1{}
\def\threestars#1#2#3{}
\else
\def\nstars#1#2{%
\ifnum #2 > 0%
\def\starcolor{\color{#1}}%
\count255=1%
\loop{%
\starcolor $\bigstar$%
}%
\ifnum \count255 < #2%
\advance\count255 by 1%
\repeat%
\fi%
}
\def\startimes#1{
{\color{ogrape} $\bigstar \times #1$}
}
\def\onestars#1{
\nstars{ogrape}{#1}
}
\def\threestars#1#2#3{
\nstars{white}{#1}\nstars{ogrape}{#2}\nstars{white}{#3}
}
% Not used, commented out.
\def\difficulty#1#2{
\textbf{Difficulty:} \stars{#1}{#2} \par
\vspace{1mm}
}
\fi