--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/cws/cw02.tex Thu Nov 03 00:53:53 2016 +0000
@@ -0,0 +1,111 @@
+\documentclass{article}
+\usepackage{../style}
+\usepackage{chessboard}
+\usepackage[LSBC4,T1]{fontenc}
+
+
+\begin{document}
+
+\setchessboard{smallboard,
+ showmover=false,
+ boardfontencoding=LSBC4,
+ hlabelformat=\arabic{ranklabel},
+ vlabelformat=\arabic{filelabel}}
+
+
+
+\section*{Coursework 2 (Knight's Tour)}
+
+This coursework is worth XXX\% and is due on 21 November at 16:00. You
+are asked to implement a Scala program that solves the \textit{knight's
+ tour problem} on an $n\times n$ chessboard. This problem is about
+finding a tour such that the knight visits every field on the
+chessboard once. One a $5\times 5$ chessboard, a knight's tour
+is as follows:
+
+\chessboard[maxfield=e5,
+ pgfstyle= {[base,at={\pgfpoint{0pt}{-0.5ex}}]text},
+ text = \bf\small 24, markfield=a5,
+ text = \small 11, markfield=b5,
+ text = \small 6, markfield=c5,
+ text = \small 17, markfield=d5,
+ text = \small 0, markfield=e5,
+ text = \small 19, markfield=a4,
+ text = \small 16, markfield=b4,
+ text = \small 23, markfield=c4,
+ text = \small 12, markfield=d4,
+ text = \small 7, markfield=e4,
+ text = \small 10, markfield=a3,
+ text = \small 5, markfield=b3,
+ text = \small 18, markfield=c3,
+ text = \small 1, markfield=d3,
+ text = \small 22, markfield=e3,
+ text = \small 15, markfield=a2,
+ text = \small 20, markfield=b2,
+ text = \small 3, markfield=c2,
+ text = \small 8, markfield=d2,
+ text = \small 13, markfield=e2,
+ text = \small 4, markfield=a1,
+ text = \small 9, markfield=b1,
+ text = \small 14, markfield=c1,
+ text = \small 21, markfield=d1,
+ text = \small 2, markfield=e1
+ ]
+
+\noindent
+The tour starts in the left-upper corner, then moves to field $(4,3)$,
+then $(5,1)$ and so on. A knight's tour is called \emph{closed}, if
+the last step in the tour is within a knight's move to the beginning
+of the tour. So the above knight's tour is not closed (that is it is
+open) because the last step on field $(1, 5)$ is not within the reach
+of the first step on $(5, 5)$. It turns out there is no closed
+knight's tour on a $5\times 5$ board. But there is one on a $6\times
+6$ board.
+
+If you cannot remember how a knight moved in chess, below are all
+potential moves indicated for two knights, one on field $(3, 3)$ and
+another on $(8, 8)$:
+
+
+\chessboard[color=blue!50,
+ linewidth=0.2em,
+ shortenstart=0.5ex,
+ shortenend=0.5ex,
+ markstyle=cross,
+ markfields={b5, d5, a4, e4, a2, e2, b1, d1},
+ color=red!50,
+ markfields={g6, f7},
+ setpieces={Nh8, Nc3}]
+
+
+\subsubsection*{Disclaimer}
+
+It should be understood that the work you submit represents
+your own effort. You have not copied from anyone else. An
+exception is the Scala code I showed during the lectures or
+uploaded to KEATS, which you can freely use.\bigskip
+
+
+\subsubsection*{Task}
+
+The task is to implement a regular expression matcher based on
+derivatives of regular expressions. The implementation should
+be able to deal with the usual (basic) regular expressions
+
+\noindent {\bf Important!} Your implementation should have
+explicit cases for the basic regular expressions, but also
+explicit cases for the extended regular expressions. That
+means do not treat the extended regular expressions by just
+translating them into the basic ones. See also Question 2,
+where you are asked to explicitly give the rules for
+\textit{nullable} and \textit{der} for the extended regular
+expressions.
+
+
+
+\end{document}
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: t
+%%% End: