Removed chess game
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@ -17,26 +17,14 @@
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\par
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}
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\long\def\sixboards#1{
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\twoboards{#1}
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\vfill
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\twoboards{#1}
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\vfill
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\twoboards{#1}
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}
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\makeatletter
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\long\def\manyboards#1{
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\ifextras
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\sixboards{#1}
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\else
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\if@solutions
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\twoboards{#1}
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\else
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\twoboards{#1}
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\twoboards{#1}
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\fi
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\fi
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}
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\cbDefineNewPiece{white}{U}
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@ -1,83 +1,23 @@
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% use [nosolutions] flag to hide solutions.
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% use [solutions] flag to show solutions.
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\documentclass[
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solutions
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solutions,
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shortwarning
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]{../../resources/ormc_handout}
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\usepackage{../../resources/macros}
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% If true, this will be an "extras" handout
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% (minimal, extra copies of chessboards.)
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%
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% This assumes nosolutions.
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\newif\ifextras
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\extrasfalse
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\ifextras
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% Force-disable page numbers
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% and leave bit more room for the six chessboards.
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\pagestyle{empty}
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\geometry{
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bottom = 20mm,
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footskip = 5mm,
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}
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\fi
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\usepackage{chessfss}
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\usepackage{chessboard}
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\usepackage{anyfontsize} % Silences some chess warnings
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\usepackage{afterpage}
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\usepackage[hang]{footmisc}
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% Modify default tab positions for better stars in score decomposition
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\TabPositions{1.2cm, 2cm, 3cm, 4cm, 5cm, 6cm, 7cm, 8cm}
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\input{chess-setup}
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\input{stars}
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\makeatletter
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\@makeORMCbox{@hintlist}
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{Score Decomposition:}
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{black!12!white}
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{black!80!white}
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\ifextras
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\excludecomment{hintlist}
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\else
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\newenvironment{hintlist}{
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\begin{@hintlist}
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}{
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% Remove vspace from the last \hintcontent
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\if@solutions\vspace{-2mm}\fi
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\end{@hintlist}
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\def\difficulty#1#2{
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\textbf{Difficulty:} \stars{#1}{#2} \par
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\vspace{1mm}
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}
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\fi
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\long\def\hintcontent#1{
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\if@solutions
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#1 \par
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\vspace{2mm}
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\fi
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}
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\makeatother
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\uptitlel{Advanced 2}
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\uptitler{Fall 2023}
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@ -89,7 +29,6 @@
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\begin{document}
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\ifextras\else
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\maketitle
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\footnotetext[1]{
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@ -97,17 +36,9 @@
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The rest are from \textit{The Chess Mysteries of the Arabian Knights}.
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}
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\input{parts/00 rules}
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\input{parts/01 intro}
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\fi
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\input{parts/02 easy}
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\input{parts/03 medium}
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%\input{parts/04 hard}
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\ifextras
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\sixboards{}
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\vfill\pagebreak
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\fi
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\input{parts/04 hard}
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\end{document}
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@ -1,51 +0,0 @@
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\section{Rules}
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This handout contains a set of problems. You may solve them in any order. \par
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Each is marked with a few stars, which you collect by presenting solutions. \par
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An example is below.
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\vspace{4mm}
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\generic{Problem $0$:}
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\onestars{4}
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This is a problem that has two parts. \par
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If you solve the problem on your own, your team gets four points. \par
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\vspace{2mm}
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There are two ways you can ask for assistance: \par
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\begin{itemize}[itemsep=1mm]
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\item You may uncover a hint to a part for $\lceil 0.5 \times \text{that part's value} \rceil$ stars. \par
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In this problem, the hints for both part 1 and 2 cost 1 star each. \par
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These are always provided in order---you must solve or uncover part 1 to get a hint for part 2.
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\item You may also ask an instructor to check the work you have thus far. \par
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By doing this, you will earn stars for all parts you no longer need a hint for.
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\end{itemize}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{1}{3} \par
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\hintcontent{
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This is a hint. Only instructors see this.
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}
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Part 2: \tab\threestars{1}{2}{1} \par
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\hintcontent{
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This is another hint.
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}
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\vspace{2mm}
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Done: \tab\threestars{3}{1}{0}
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\end{hintlist}
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\vspace{1cm}
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Each \say{part} corresponds to one hint in the instructor's handout. \par
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\say{Done} is not a hint, it is simply a bonus for completing the problem.
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\vfill
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\pagebreak
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@ -137,22 +137,5 @@ A king and rook can \textit{castle} under the following conditions:
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\end{minipage}
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\par
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\vfill
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\generic{General Strategies:}
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As you solve problems, keep the following in mind. \par
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You may want to return to this list if you get stuck.
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\begin{itemize}
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\item What was the last move? (By black or white)
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\item Were there any promotions? The implication may be indirect: \par
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if White needs a third bishop, there was a promotion. \par
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\note{Promotions often resolve seemingly impossible situations.}
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\item Do not assume that Black and White play well.
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You may only assume they play \textit{correctly}.
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\end{itemize}
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\vfill
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\pagebreak
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@ -1,21 +1,16 @@
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\ifextras\else
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\section{Simple problems}
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\fi
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% Sherlock, A little exercise
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\problem{A little exercise}
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%\difficulty{1}{5}
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\onestars{3}
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\difficulty{1}{5}
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Black has just moved in the game below. White started on the south side of the board.\par
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What was Black's last move, and what was White's last move? \par
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\ifextras\else
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\note[Note]{
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The boards below are identical copies. Scribble to your heart's content.\\
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There a few empty boards at the end of this handout as well.
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}
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\fi
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\manyboards{
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ka8,Kc8,
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@ -23,21 +18,6 @@ What was Black's last move, and what was White's last move? \par
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Bg1
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{1}{2} \par
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\hintcontent{
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What was Black's last move? What did White do to make this happen?
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}
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Part 2: \tab\threestars{1}{1}{1} \par
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\hintcontent{
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White uncovered a check. What piece did Black capture?
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}
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\vspace{2mm}
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Done: \tab\threestars{2}{1}{0}
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\end{hintlist}
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\begin{solution}
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It's pretty clear that Black just moved out of check from A7.
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@ -73,8 +53,8 @@ What was Black's last move, and what was White's last move? \par
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% Sherlock, Which color?
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\problem{Which color?}
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%\difficulty{2}{5}
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\onestars{4}
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\difficulty{2}{5}
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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.
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There is a pawn at G3. What color is it? \par
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As before, White started on the bottom of the board.
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@ -86,23 +66,6 @@ As before, White started on the bottom of the board.
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Pd2,Pf2
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{1}{3} \par
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\hintcontent{
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How did the white king get off E1? It must have castled!
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}
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Part 2: \tab\threestars{1}{1}{2} \par
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\hintcontent{
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It castled kingside (how do we know?) \par
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Now, how did it get off G1?
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}
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\vspace{2mm}
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Done: \tab\threestars{2}{2}{0}
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\end{hintlist}
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\begin{solution}
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The white king is the key to this solution. How did it get off of E1? \par
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It must have castled kingside---castling queenside would move a rook from black to white.
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@ -131,8 +94,7 @@ As before, White started on the bottom of the board.
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% Arabian Knights 2
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\problem{Invisible, but not invincible}
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%\difficulty{2}{5}
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\onestars{4}
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\difficulty{2}{5}
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The black king has turned himself invisible. Unfortunately, his position is hopeless. \par
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Mate the king in one move. \par
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@ -143,14 +105,6 @@ Mate the king in one move. \par
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Pa6,Rc6
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{1}{3} \par
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\hintcontent{Don't forget about promotion.}
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\vspace{2mm}
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Done: \tab\threestars{1}{3}{0}
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\end{hintlist}
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\begin{solution}
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Since it is White's move, Black cannot be in check. \par
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So, either White is in check or the black king is on C8. \par
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@ -173,8 +127,8 @@ Mate the king in one move. \par
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% Sherlock, a question of survival
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\problem{An empty board}
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%\difficulty{2}{5}
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\onestars{4}
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\difficulty{2}{5}
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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.
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There is one more piece on the board, which isn't shown. What color square does it stand on? \par
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@ -184,16 +138,6 @@ There is one more piece on the board, which isn't shown. What color square does
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Ke1
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{1}{3} \par
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\hintcontent{Which piece performed the last capture on a black square?}
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\vspace{2mm}
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Done: \tab\threestars{1}{3}{0}
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\end{hintlist}
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\begin{solution}
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Which piece performed the last capture on a black square? It couldn't have been a white pawn, which haven't moved.
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@ -211,8 +155,8 @@ There is one more piece on the board, which isn't shown. What color square does
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% Sherlock, another monochromatic
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\problem{The knight's grave}
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%\difficulty{3}{5}
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\onestars{4}
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\difficulty{3}{5}
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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.
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The white king has made less than fourteen moves. \par
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Use this information to show that a pawn was promoted. \par
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@ -223,15 +167,6 @@ Use this information to show that a pawn was promoted. \par
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Ke1
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{1}{3} \par
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\hintcontent{
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Who took the knights? Only one of them is interesting---most are easy to account for.
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}
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\vspace{2mm}
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Done: \tab\threestars{1}{3}{0}
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\end{hintlist}
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\begin{solution}
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Knights always move to a different colored square, so all four missing knights must have been captured on their home square.
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What pieces captured them?
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@ -256,8 +191,8 @@ Use this information to show that a pawn was promoted. \par
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% Arabian Knights, intro (given with solution)
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\problem{Promotion?}
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%\difficulty{2}{5}
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\onestars{6}
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\difficulty{2}{5}
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It is White's move. Have there been any promotions this game? \par
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@ -266,18 +201,6 @@ It is White's move. Have there been any promotions this game? \par
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Bc1,Kd1,Rh1
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{4}{2} \par
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\hintcontent{
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The black king must have moved from F1. (Why not G1?) \par
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This would be impossible if something hadn't blocked check from the white rook.
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}
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\vspace{2mm}
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Done: \tab\threestars{4}{2}{0}
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\end{hintlist}
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\begin{solution}
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Since it is White's move, Black has just moved his king. Where did he move it from?
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@ -303,8 +226,7 @@ It is White's move. Have there been any promotions this game? \par
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% Sherlock Holmes, two bagatelles (1)
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\problem{Whodunit}
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%\difficulty{2}{5}
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\onestars{6}
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\difficulty{2}{5}
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It is Black's move. Can Black castle? \par
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\hint{Remember the rules of chess: you may not castle if you've moved your rook.}
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@ -318,18 +240,6 @@ It is Black's move. Can Black castle? \par
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Bc1,Qd1,Ke1,Bf1
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{4}{2} \par
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\hintcontent{
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Black captured a knight on his last move. \par
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Why do we know this, and how did he do it?
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}
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\vspace{2mm}
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Done: \tab\threestars{4}{2}{0}
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\end{hintlist}
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\begin{solution}
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White's last move was with the pawn. \par
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Black's last move must have been to capture the white piece which moved before that.
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@ -365,8 +275,7 @@ It is Black's move. Can Black castle? \par
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% Sherlock Holmes, two bagatelles (2)
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\problem{Castle contradiction}
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%\difficulty{2}{5}
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\startimes{7}
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\difficulty{2}{5}
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Neither Black nor White captured a piece on their last move. \par
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It is Black's move. Can he castle? \par
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@ -381,19 +290,6 @@ It is Black's move. Can he castle? \par
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{4}{3} \par
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\hintcontent{
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If White moved his king, Black cannot castle. Why? \par
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That's the simple case. The other option: White castled. What did Black do before that?
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(Also, there was a promotion in this case.)
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}
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\vspace{2mm}
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Done: \tab\threestars{4}{3}{0}
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\end{hintlist}
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\begin{solution}
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If White's last move was with the king, then the black rook moved to check him and Black can't castle.
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@ -428,8 +324,7 @@ It is Black's move. Can he castle? \par
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% Arabian Knights, intro (given with solution)
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\problem{A matter of order}
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%\difficulty{3}{5}
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\startimes{8}
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\difficulty{3}{5}
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A black bishop captured a White piece earlier in this game. \par
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Which bishop was it, and what did it capture? \par
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@ -446,37 +341,6 @@ Which bishop was it, and what did it capture? \par
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Kc1,Rd1,Rh1
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}
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\begin{hintlist}
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Part 1: \tab\threestars{0}{1}{7} \par
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\hintcontent{
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\begin{itemize}
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\item How many pieces are missing? Where were the missing ones captured?
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\item How did those pieces get to the place they were captured?
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\end{itemize}
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}
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Part 2: \tab\threestars{1}{2}{5} \par
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\hintcontent{
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\begin{itemize}
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\item The pawn on C3 came from D2, capturing a black rook.
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\item The black rook it captured couldn't have moved there before...
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\end{itemize}
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}
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Part 3: \tab\threestars{3}{3}{2} \par
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\hintcontent{
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\begin{itemize}
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\item ...the black pawn on G7 captured a white piece on H6.
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\item What else is missing?
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\end{itemize}
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}
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\vspace{2mm}
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Done: \tab\threestars{6}{2}{0}
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\end{hintlist}
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\begin{solution}
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First, notice that the pawn on C3 came from D2 by capturing a piece. \par
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This must have been a black rook, which is the only missing black piece.
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||||
@ -1,11 +1,9 @@
|
||||
\ifextras\else
|
||||
\section{Slightly harder problems}
|
||||
\fi
|
||||
|
||||
|
||||
% Sherlock, A matter of direction
|
||||
\problem{A matter of direction}
|
||||
%\difficulty{3}{5}
|
||||
\onestars{4}
|
||||
\difficulty{3}{5}
|
||||
|
||||
The results of a game of chess are shown below. \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
|
||||
}
|
||||
|
||||
\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}
|
||||
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).
|
||||
@ -57,8 +46,8 @@ Did White start on the north or south side of the board? \par
|
||||
|
||||
% Arabian Knights 1
|
||||
\problem{Where is the king?}
|
||||
%\difficulty{3}{5}
|
||||
\startimes{8}
|
||||
\difficulty{3}{5}
|
||||
|
||||
|
||||
The white king has again become invisible. Find him. \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}
|
||||
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)
|
||||
\problem{Double-checks}
|
||||
%\difficulty{3}{5}
|
||||
\startimes{10}
|
||||
\difficulty{3}{5}
|
||||
|
||||
|
||||
White to move. Which side of the board did each color start on? \par
|
||||
\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
|
||||
}
|
||||
|
||||
\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}
|
||||
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?
|
||||
@ -217,13 +169,12 @@ White to move. Which side of the board did each color start on? \par
|
||||
|
||||
% Arabian Knights 4
|
||||
\problem{A missing piece}
|
||||
%\difficulty{4}{5}
|
||||
\startimes{20}
|
||||
\difficulty{4}{5}
|
||||
|
||||
|
||||
There is a piece at G4, marked with a $\odot$. \par
|
||||
What is it, and what is its color? \par
|
||||
|
||||
|
||||
\manyboards{
|
||||
ra8,ke8,rh8,
|
||||
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
|
||||
\if@solutions
|
||||
\vfill
|
||||
@ -281,6 +194,7 @@ What is it, and what is its color? \par
|
||||
\fi
|
||||
\makeatother
|
||||
|
||||
|
||||
\begin{solution}
|
||||
\textbf{Part 1:}
|
||||
|
||||
|
||||
@ -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
|
||||
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user