diff --git a/Misc/Warm-Ups/jump chess.tex b/Misc/Warm-Ups/jump chess.tex new file mode 100755 index 0000000..a11af39 --- /dev/null +++ b/Misc/Warm-Ups/jump chess.tex @@ -0,0 +1,64 @@ +\documentclass[ + solutions, + hidewarning, + singlenumbering, + nopagenumber +]{../../resources/ormc_handout} + +\usepackage{chessboard} +\usepackage{xskak} + +\title{Warm Up: Jump Chess} +\subtitle{Prepared by Mark on \today} + + +\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} \ No newline at end of file