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\input{algcomp-preamble}
\begin{document}
\input{lecture04-contents}
\end{document}
%The algorithm is as follows:
%% TODO: Get a better algorithms package!
% \begin{algorithmic}[1]
% \FOR{$i = 1$ to $n$}
% \IF{$g = id$} \RETURN \TRUE \ENDIF
% \STATE Let $X$ be the orbit of $i$ under action of $\super{G}{i-1}$.
% \STATE Write $\super{G}{i-1} = \Union_{k \in X}{\super{G}{i}g_{ik}}$ where $i^{g_{ik}}=k$.
% \STATE $k \gets i^g$
% \IF{$k \notin X$} \RETURN \FALSE \ENDIF
% \STATE $g \gets g\inv{g_{ik}}$
% \ENDFOR
% \end{algorithmic}