\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}