70 lines
1.5 KiB
TeX
Executable File
70 lines
1.5 KiB
TeX
Executable File
\documentclass[
|
|
solutions,
|
|
hidewarning,
|
|
singlenumbering,
|
|
nopagenumber
|
|
]{../../resources/ormc_handout}
|
|
\usepackage{../../resources/macros}
|
|
|
|
|
|
|
|
\usepackage{chessboard}
|
|
\usepackage{xskak}
|
|
|
|
\title{Warm Up: Jump Chess}
|
|
\uptitler{\smallurl{}}
|
|
\subtitle{Prepared by Mark on \today}
|
|
|
|
|
|
% Source: Khan LSAT prep
|
|
|
|
\begin{document}
|
|
|
|
\maketitle
|
|
|
|
Consider a normal game of chess with the following modification:
|
|
we allow queens and rooks to jump as far across the board as they want,
|
|
within their usual range of movement.
|
|
As a result, queens and rooks may check the opposing
|
|
king from a distance, ignoring any pieces in between.
|
|
|
|
\vspace{2mm}
|
|
|
|
With these modified rules, the outcome of a game can be determined. \par
|
|
Who wins, or do black and white draw with ideal play? \par
|
|
(As in regulation chess, white moves first.)
|
|
|
|
\begin{center}
|
|
\newchessgame
|
|
\chessboard[normalboard,showmover=false]
|
|
\end{center}
|
|
|
|
\begin{solution}
|
|
Win for white in 5 moves.
|
|
|
|
\vspace{2mm}
|
|
|
|
Trap black in the top row. If Black is kept in check
|
|
every move, his ability to respond is limited and the game tree
|
|
remains small.
|
|
|
|
\vspace{2mm}
|
|
|
|
Capture an opposing rook with Rxa8+.
|
|
The king is in check and can't move, so black must capture this rook.
|
|
If black recaptures with his other rook, respond with Qh5\#.
|
|
|
|
Otherwise, black must recapture Qxa8. Now go Qa4+.
|
|
If black captures with his queen Qxa4, then Rxh8\#.
|
|
So, black must move Kd8.
|
|
|
|
\vspace{2mm}
|
|
|
|
Finish with the following: \par
|
|
Qd4+ Ke8 \par
|
|
Rxh8+ Qxh8 \par
|
|
Qxh8\#
|
|
|
|
\end{solution}
|
|
|
|
\end{document} |