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| % LLNCS DOCUMENT CLASS -- version 2.8% for LaTeX2e%\NeedsTeXFormat{LaTeX2e}[1995/12/01]\ProvidesClass{llncs}[2000/05/16 v2.8^^JLaTeX document class for Lecture Notes in Computer Science]% Options\let\if@envcntreset\iffalse\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue}\DeclareOption{citeauthoryear}{\let\citeauthoryear=Y}\DeclareOption{oribibl}{\let\oribibl=Y}\let\if@custvec\iftrue\DeclareOption{orivec}{\let\if@custvec\iffalse}\let\if@envcntsame\iffalse\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue}\let\if@envcntsect\iffalse\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue}\let\if@runhead\iffalse\DeclareOption{runningheads}{\let\if@runhead\iftrue}\let\if@openbib\iffalse\DeclareOption{openbib}{\let\if@openbib\iftrue}\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}\ProcessOptions\LoadClass[twoside]{article}\RequirePackage{multicol} % needed for the list of participants, index\setlength{\textwidth}{12.2cm}\setlength{\textheight}{19.3cm}% Ragged bottom for the actual page\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil\global\let\@textbottom\relax}}\renewcommand\small{%   \@setfontsize\small\@ixpt{11}%   \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@   \abovedisplayshortskip \z@ \@plus2\p@   \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@   \def\@listi{\leftmargin\leftmargini               \parsep 0\p@ \@plus1\p@ \@minus\p@               \topsep 8\p@ \@plus2\p@ \@minus4\p@               \itemsep0\p@}%   \belowdisplayskip \abovedisplayskip}\frenchspacing\widowpenalty=10000\clubpenalty=10000\setlength\oddsidemargin   {63\p@}\setlength\evensidemargin  {63\p@}\setlength\marginparwidth  {90\p@}\setlength\headsep   {16\p@}\setlength\footnotesep{7.7\p@}\setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@}\setlength\intextsep   {8mm\@plus 2\p@ \@minus 2\p@}\setcounter{secnumdepth}{2}\newcounter {chapter}\renewcommand\thechapter      {\@arabic\c@chapter}\newif\if@mainmatter \@mainmattertrue\newcommand\frontmatter{\cleardoublepage            \@mainmatterfalse\pagenumbering{Roman}}\newcommand\mainmatter{\cleardoublepage       \@mainmattertrue\pagenumbering{arabic}}\newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi      \@mainmatterfalse}\renewcommand\part{\cleardoublepage                 \thispagestyle{empty}%                 \if@twocolumn                     \onecolumn                     \@tempswatrue                   \else                     \@tempswafalse                 \fi                 \null\vfil                 \secdef\@part\@spart}\def\@part[#1]#2{%    \ifnum \c@secnumdepth >-2\relax      \refstepcounter{part}%      \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%    \else      \addcontentsline{toc}{part}{#1}%    \fi    \markboth{}{}%    {\centering     \interlinepenalty \@M     \normalfont     \ifnum \c@secnumdepth >-2\relax       \huge\bfseries \partname~\thepart       \par       \vskip 20\p@     \fi     \Huge 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\fi                    \else                      \addcontentsline{toc}{chapter}{#1}%                    \fi                    \chaptermark{#1}%                    \addtocontents{lof}{\protect\addvspace{10\p@}}%                    \addtocontents{lot}{\protect\addvspace{10\p@}}%                    \if@twocolumn                      \@topnewpage[\@makechapterhead{#2}]%                    \else                      \@makechapterhead{#2}%                      \@afterheading                    \fi}\def\@makechapterhead#1{%% \vspace*{50\p@}%  {\centering    \ifnum \c@secnumdepth >\m@ne      \if@mainmatter        \large\bfseries \@chapapp{} \thechapter        \par\nobreak        \vskip 20\p@      \fi    \fi    \interlinepenalty\@M    \Large \bfseries #1\par\nobreak    \vskip 40\p@  }}\def\@schapter#1{\if@twocolumn                   \@topnewpage[\@makeschapterhead{#1}]%                 \else                   \@makeschapterhead{#1}%                   \@afterheading                 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{\normalfont\normalsize\bfseries\boldmath}}\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}%                       {-12\p@ \@plus -4\p@ \@minus -4\p@}%                       {-0.5em \@plus -0.22em \@minus -0.1em}%                       {\normalfont\normalsize\itshape}}\renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use                  \string\subparagraph\space with this class}\vskip0.5cmYou should not use \verb|\subparagraph| with this class.\vskip0.5cm}\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}\let\footnotesize\small\if@custvec\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}}{\mbox{\boldmath$\textstyle#1$}}{\mbox{\boldmath$\scriptstyle#1$}}{\mbox{\boldmath$\scriptscriptstyle#1$}}}\fi\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}}\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil\penalty50\hskip1em\null\nobreak\hfil\squareforqed\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil$\displaystyle##$\hfil\cr\gets\cr\to\cr}}}{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets\cr\to\cr}}}{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets\cr\to\cr}}}{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr\gets\cr\to\cr}}}}}\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}}{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}}{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr\noalign{\vskip1pt}=\cr}}}{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr<\cr\noalign{\vskip0.9pt}=\cr}}}}}\def\gid{\mathrel{\mathchoice 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I\!P}}\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l}{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}}\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hboxto0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hboxto0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hboxto0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hboxto0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}}\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rmQ$}\hbox{\raise0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}}\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rmT$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hboxto0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hboxto0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hboxto0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}}\def\bbbs{{\mathchoice{\setbox0=\hbox{$\displaystyle     \rm S$}\hbox{\raise0.5\ht0\hboxto0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hboxto0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}{\setbox0=\hbox{$\textstyle        \rm S$}\hbox{\raise0.5\ht0\hboxto0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hboxto0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptstyle      \rm S$}\hbox{\raise0.5\ht0\hboxto0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hboxto0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}}{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hboxto0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hboxto0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}}\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}}{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}}{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}}\let\ts\,\setlength\leftmargini  {17\p@}\setlength\leftmargin    {\leftmargini}\setlength\leftmarginii  {\leftmargini}\setlength\leftmarginiii {\leftmargini}\setlength\leftmarginiv  {\leftmargini}\setlength  \labelsep  {.5em}\setlength  \labelwidth{\leftmargini}\addtolength\labelwidth{-\labelsep}\def\@listI{\leftmargin\leftmargini            \parsep 0\p@ \@plus1\p@ \@minus\p@            \topsep 8\p@ \@plus2\p@ \@minus4\p@            \itemsep0\p@}\let\@listi\@listI\@listi\def\@listii {\leftmargin\leftmarginii              \labelwidth\leftmarginii              \advance\labelwidth-\labelsep              \topsep    0\p@ \@plus2\p@ \@minus\p@}\def\@listiii{\leftmargin\leftmarginiii              \labelwidth\leftmarginiii              \advance\labelwidth-\labelsep              \topsep    0\p@ \@plus\p@\@minus\p@              \parsep    \z@              \partopsep \p@ \@plus\z@ \@minus\p@}\renewcommand\labelitemi{\normalfont\bfseries --}\renewcommand\labelitemii{$\m@th\bullet$}\setlength\arraycolsep{1.4\p@}\setlength\tabcolsep{1.4\p@}\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}%                                                    {{\contentsname}}} \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}} \def\lastand{\ifnum\value{auco}=2\relax                 \unskip{} \andname\              \else                 \unskip \lastandname\              \fi}% \def\and{\stepcounter{@auth}\relax          \ifnum\value{@auth}=\value{auco}%             \lastand          \else             \unskip,          \fi}% \@starttoc{toc}\if@restonecol\twocolumn\fi}\def\l@part#1#2{\addpenalty{\@secpenalty}%   \addvspace{2em plus\p@}%  % space above part line   \begingroup     \parindent \z@     \rightskip \z@ plus 5em     \hrule\vskip5pt     \large               % same size as for a contribution heading     \bfseries\boldmath   % set line in boldface     \leavevmode          % TeX command to enter horizontal mode.     #1\par     \vskip5pt     \hrule     \vskip1pt     \nobreak             % Never break after part entry   \endgroup}\def\@dotsep{2}\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else{chapter.\thechapter}\fi}\def\addnumcontentsmark#1#2#3{%\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline                     {\thechapter}#3}{\thepage}\hyperhrefextend}}\def\addcontentsmark#1#2#3{%\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}}\def\addcontentsmarkwop#1#2#3{%\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}}\def\@adcmk[#1]{\ifcase #1 \or\def\@gtempa{\addnumcontentsmark}%  \or    \def\@gtempa{\addcontentsmark}%  \or    \def\@gtempa{\addcontentsmarkwop}%  \fi\@gtempa{toc}{chapter}}\def\addtocmark{\@ifnextchar[{\@adcmk}{\@adcmk[3]}}\def\l@chapter#1#2{\addpenalty{-\@highpenalty} \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup \parindent \z@ \rightskip \@pnumwidth \parfillskip -\@pnumwidth \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip {\large\bfseries\boldmath#1}\ifx0#2\hfil\null \else      \nobreak      \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern      \@dotsep mu$}\hfill      \nobreak\hbox to\@pnumwidth{\hss #2}% \fi\par \penalty\@highpenalty \endgroup}\def\l@title#1#2{\addpenalty{-\@highpenalty} \addvspace{8pt plus 1pt} \@tempdima \z@ \begingroup \parindent \z@ \rightskip \@tocrmarg \parfillskip -\@tocrmarg \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip #1\nobreak \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern \@dotsep mu$}\hfill \nobreak\hbox to\@pnumwidth{\hss #2}\par \penalty\@highpenalty \endgroup}\setcounter{tocdepth}{0}\newdimen\tocchpnum\newdimen\tocsecnum\newdimen\tocsectotal\newdimen\tocsubsecnum\newdimen\tocsubsectotal\newdimen\tocsubsubsecnum\newdimen\tocsubsubsectotal\newdimen\tocparanum\newdimen\tocparatotal\newdimen\tocsubparanum\tocchpnum=\z@            % no chapter numbers\tocsecnum=15\p@          % section 88. plus 2.222pt\tocsubsecnum=23\p@       % subsection 88.8 plus 2.222pt\tocsubsubsecnum=27\p@    % subsubsection 88.8.8 plus 1.444pt\tocparanum=35\p@         % paragraph 88.8.8.8 plus 1.666pt\tocsubparanum=43\p@      % subparagraph 88.8.8.8.8 plus 1.888pt\def\calctocindent{%\tocsectotal=\tocchpnum\advance\tocsectotal by\tocsecnum\tocsubsectotal=\tocsectotal\advance\tocsubsectotal by\tocsubsecnum\tocsubsubsectotal=\tocsubsectotal\advance\tocsubsubsectotal by\tocsubsubsecnum\tocparatotal=\tocsubsubsectotal\advance\tocparatotal by\tocparanum}\calctocindent\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}}\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}}\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}}\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}}\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}}\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}} \@starttoc{lof}\if@restonecol\twocolumn\fi}\def\l@figure{\@dottedtocline{1}{0em}{1.5em}}\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}} \@starttoc{lot}\if@restonecol\twocolumn\fi}\let\l@table\l@figure\renewcommand\listoffigures{%    \section*{\listfigurename      \@mkboth{\listfigurename}{\listfigurename}}%    \@starttoc{lof}%    }\renewcommand\listoftables{%    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`thebibliography' environment}}%      \endlist}\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw     {\let\protect\noexpand\immediate     \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}\newcount\@tempcntc\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi  \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do    {\@ifundefined       {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries        ?}\@warning       {Citation `\@citeb' on page \thepage \space undefined}}%    {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%     \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne       \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}%     \else      \advance\@tempcntb\@ne      \ifnum\@tempcntb=\@tempcntc      \else\advance\@tempcntb\m@ne\@citeo      \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else               \@citea\def\@citea{,\,\hskip\z@skip}%               \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else               {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else                \def\@citea{--}\fi      \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}\else\renewenvironment{thebibliography}[1]     {\section*{\refname}      \small      \list{}%           {\settowidth\labelwidth{}%            \leftmargin\parindent            \itemindent=-\parindent            \labelsep=\z@            \if@openbib              \advance\leftmargin\bibindent              \itemindent -\bibindent              \listparindent \itemindent              \parsep \z@            \fi            \usecounter{enumiv}%            \let\p@enumiv\@empty            \renewcommand\theenumiv{}}%      \if@openbib        \renewcommand\newblock{\par}%      \else        \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}%      \fi      \sloppy\clubpenalty4000\widowpenalty4000%      \sfcode`\.=\@m}     {\def\@noitemerr       {\@latex@warning{Empty `thebibliography' environment}}%      \endlist}      \def\@cite#1{#1}%      \def\@lbibitem[#1]#2{\item[]\if@filesw        {\def\protect##1{\string ##1\space}\immediate      \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}   \fi\else\@cons\@openbib@code{\noexpand\small}\fi\def\idxquad{\hskip 10\p@}% space that divides entry from number\def\@idxitem{\par\hangindent 10\p@}\def\subitem{\par\setbox0=\hbox{--\enspace}% second order                \noindent\hangindent\wd0\box0}% index entry\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third                \noindent\hangindent\wd0\box0}% order index entry\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}\renewenvironment{theindex}               {\@mkboth{\indexname}{\indexname}%                \thispagestyle{empty}\parindent\z@                \parskip\z@ \@plus .3\p@\relax                \let\item\par                \def\,{\relax\ifmmode\mskip\thinmuskip                             \else\hskip0.2em\ignorespaces\fi}%                \normalfont\small                \begin{multicols}{2}[\@makeschapterhead{\indexname}]%                }                {\end{multicols}}\renewcommand\footnoterule{%  \kern-3\p@  \hrule\@width 2truecm  \kern2.6\p@}  \newdimen\fnindent  \fnindent1em\long\def\@makefntext#1{%    \parindent \fnindent%    \leftskip \fnindent%    \noindent    \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1}\long\def\@makecaption#1#2{%  \vskip\abovecaptionskip  \sbox\@tempboxa{{\bfseries #1.} #2}%  \ifdim \wd\@tempboxa >\hsize    {\bfseries #1.} #2\par  \else    \global \@minipagefalse    \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%  \fi  \vskip\belowcaptionskip}\def\fps@figure{htbp}\def\fnum@figure{\figurename\thinspace\thefigure}\def \@floatboxreset {%        \reset@font        \small        \@setnobreak        \@setminipage}\def\fps@table{htbp}\def\fnum@table{\tablename~\thetable}\renewenvironment{table}               {\setlength\abovecaptionskip{0\p@}%                \setlength\belowcaptionskip{10\p@}%                \@float{table}}               {\end@float}\renewenvironment{table*}               {\setlength\abovecaptionskip{0\p@}%                \setlength\belowcaptionskip{10\p@}%                \@dblfloat{table}}               {\end@dblfloat}\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname  ext@#1\endcsname}{#1}{\protect\numberline{\csname  the#1\endcsname}{\ignorespaces #2}}\begingroup    \@parboxrestore    \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par  \endgroup}% LaTeX does not provide a command to enter the authors institute% addresses. The \institute command is defined here.\newcounter{@inst}\newcounter{@auth}\newcounter{auco}\def\andname{and}\def\lastandname{\unskip, and}\newdimen\instindent\newbox\authrun\newtoks\authorrunning\newtoks\tocauthor\newbox\titrun\newtoks\titlerunning\newtoks\toctitle\def\clearheadinfo{\gdef\@author{No Author Given}%                   \gdef\@title{No Title Given}%                   \gdef\@subtitle{}%                   \gdef\@institute{No Institute Given}%                   \gdef\@thanks{}%                   \global\titlerunning={}\global\authorrunning={}%                   \global\toctitle={}\global\tocauthor={}}\def\institute#1{\gdef\@institute{#1}}\def\institutename{\par \begingroup \parskip=\z@ \parindent=\z@ \setcounter{@inst}{1}% \def\and{\par\stepcounter{@inst}% \noindent$^{\the@inst}$\enspace\ignorespaces}% \setbox0=\vbox{\def\thanks##1{}\@institute}% \ifnum\c@@inst=1\relax \else   \setcounter{footnote}{\c@@inst}%   \setcounter{@inst}{1}%   \noindent$^{\the@inst}$\enspace \fi \ignorespaces \@institute\par \endgroup}\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or   {\star\star\star}\or \dagger\or \ddagger\or   \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger   \or \ddagger\ddagger \else\@ctrerr\fi}}\def\inst#1{\unskip$^{#1}$}\def\fnmsep{\unskip$^,$}\def\email#1{{\tt#1}}\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}}\def\homedir{\~{ }}\def\subtitle#1{\gdef\@subtitle{#1}}\clearheadinfo\renewcommand\maketitle{\newpage  \refstepcounter{chapter}%  \stepcounter{section}%  \setcounter{section}{0}%  \setcounter{subsection}{0}%  \setcounter{figure}{0}  \setcounter{table}{0}  \setcounter{equation}{0}  \setcounter{footnote}{0}%  \begingroup    \parindent=\z@    \renewcommand\thefootnote{\@fnsymbol\c@footnote}%    \if@twocolumn      \ifnum \col@number=\@ne        \@maketitle      \else        \twocolumn[\@maketitle]%      \fi    \else      \newpage      \global\@topnum\z@   % Prevents figures from going at top of page.      \@maketitle    \fi    \thispagestyle{empty}\@thanks%    \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}%    \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}%    \instindent=\hsize    \advance\instindent by-\headlineindent    \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else       \addcontentsline{toc}{title}{\the\toctitle}\fi    \if@runhead       \if!\the\titlerunning!\else         \edef\@title{\the\titlerunning}%       \fi       \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}%       \ifdim\wd\titrun>\instindent          \typeout{Title too long for running head. Please supply}%          \typeout{a shorter form with \string\titlerunning\space prior to                   \string\maketitle}%          \global\setbox\titrun=\hbox{\small\rm          Title Suppressed Due to Excessive Length}%       \fi       \xdef\@title{\copy\titrun}%    \fi%    \if!\the\tocauthor!\relax      {\def\and{\noexpand\protect\noexpand\and}%      \protected@xdef\toc@uthor{\@author}}%    \else      \def\\{\noexpand\protect\noexpand\newline}%      \protected@xdef\scratch{\the\tocauthor}%      \protected@xdef\toc@uthor{\scratch}%    \fi    \addtocontents{toc}{{\protect\raggedright\protect\leftskip15\p@    \protect\rightskip\@tocrmarg    \protect\itshape\toc@uthor\protect\endgraf}}%    \if@runhead       \if!\the\authorrunning!         \value{@inst}=\value{@auth}%         \setcounter{@auth}{1}%       \else         \edef\@author{\the\authorrunning}%       \fi       \global\setbox\authrun=\hbox{\small\unboldmath\@author\unskip}%       \ifdim\wd\authrun>\instindent          \typeout{Names of authors too long for running head. Please supply}%          \typeout{a shorter form with \string\authorrunning\space prior to                   \string\maketitle}%          \global\setbox\authrun=\hbox{\small\rm          Authors Suppressed Due to Excessive Length}%       \fi       \xdef\@author{\copy\authrun}%       \markboth{\@author}{\@title}%     \fi  \endgroup  \setcounter{footnote}{0}%  \clearheadinfo}%\def\@maketitle{\newpage \markboth{}{}% \def\lastand{\ifnum\value{@inst}=2\relax                 \unskip{} \andname\              \else                 \unskip \lastandname\              \fi}% \def\and{\stepcounter{@auth}\relax          \ifnum\value{@auth}=\value{@inst}%             \lastand          \else             \unskip,          \fi}% \begin{center}% {\Large \bfseries\boldmath  \pretolerance=10000  \@title \par}\vskip .8cm\if!\@subtitle!\else {\large \bfseries\boldmath  \vskip -.65cm  \pretolerance=10000  \@subtitle \par}\vskip .8cm\fi \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}% \def\thanks##1{}\@author}% \global\value{@inst}=\value{@auth}% \global\value{auco}=\value{@auth}% \setcounter{@auth}{1}%{\lineskip .5em\noindent\ignorespaces\@author\vskip.35cm} {\small\institutename} \end{center}% }% definition of the "\spnewtheorem" command.%% Usage:%%     \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font}% or  \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font}% or  \spnewtheorem*{env_nam}{caption}{cap_font}{body_font}%% New is "cap_font" and "body_font". It stands for% fontdefinition of the caption and the text itself.%% "\spnewtheorem*" gives a theorem without number.%% A defined spnewthoerem environment is used as described% by Lamport.%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\def\@thmcountersep{}\def\@thmcounterend{.}\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}}% definition of \spnewtheorem with number\def\@spnthm#1#2{%  \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}}\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}}\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname   {\@definecounter{#1}\@addtoreset{#1}{#3}%   \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand     \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}%   \expandafter\xdef\csname #1name\endcsname{#2}%   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%                              \global\@namedef{end#1}{\@endtheorem}}}\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname   {\@definecounter{#1}%   \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%   \expandafter\xdef\csname #1name\endcsname{#2}%   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}%                               \global\@namedef{end#1}{\@endtheorem}}}\def\@spothm#1[#2]#3#4#5{%  \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}%  {\expandafter\@ifdefinable\csname #1\endcsname  {\global\@namedef{the#1}{\@nameuse{the#2}}%  \expandafter\xdef\csname #1name\endcsname{#3}%  \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}%  \global\@namedef{end#1}{\@endtheorem}}}}\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@\refstepcounter{#1}%\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}}\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}%                    \ignorespaces}\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname       the#1\endcsname}{#5}{#3}{#4}\ignorespaces}\def\@spbegintheorem#1#2#3#4{\trivlist                 \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4}\def\@spopargbegintheorem#1#2#3#4#5{\trivlist      \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5}% definition of \spnewtheorem* without number\def\@sthm#1#2{\@Ynthm{#1}{#2}}\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname   {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}%    \expandafter\xdef\csname #1name\endcsname{#2}%    \global\@namedef{end#1}{\@endtheorem}}}\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}}\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces}\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1}       {#4}{#2}{#3}\ignorespaces}\def\@Begintheorem#1#2#3{#3\trivlist                           \item[\hskip\labelsep{#2#1\@thmcounterend}]}\def\@Opargbegintheorem#1#2#3#4{#4\trivlist      \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }}\if@envcntsect   \def\@thmcountersep{.}   \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}\else   \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape}   \if@envcntreset      \@addtoreset{theorem}{section}   \else      \@addtoreset{theorem}{chapter}   \fi\fi%definition of divers theorem environments\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily}\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily}\if@envcntsame % alle Umgebungen wie Theorem.   \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}}\else % alle Umgebungen mit eigenem Zaehler   \if@envcntsect % mit section numeriert      \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}}   \else % nicht mit section numeriert      \if@envcntreset         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}                                   \@addtoreset{#1}{section}}      \else         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}                                   \@addtoreset{#1}{chapter}}%      \fi   \fi\fi\spn@wtheorem{case}{Case}{\itshape}{\rmfamily}\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape}\spn@wtheorem{example}{Example}{\itshape}{\rmfamily}\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily}\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape}\spn@wtheorem{note}{Note}{\itshape}{\rmfamily}\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily}\spn@wtheorem{property}{Property}{\itshape}{\rmfamily}\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape}\spn@wtheorem{question}{Question}{\itshape}{\rmfamily}\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily}\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily}\def\@takefromreset#1#2{%    \def\@tempa{#1}%    \let\@tempd\@elt    \def\@elt##1{%        \def\@tempb{##1}%        \ifx\@tempa\@tempb\else            \@addtoreset{##1}{#2}%        \fi}%    \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname    \expandafter\def\csname cl@#2\endcsname{}%    \@tempc    \let\@elt\@tempd}\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist      \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5}                  \def\@Opargbegintheorem##1##2##3##4{##4\trivlist      \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}      }\renewenvironment{abstract}{%      \list{}{\advance\topsep by0.35cm\relax\small      \leftmargin=1cm      \labelwidth=\z@      \listparindent=\z@      \itemindent\listparindent      \rightmargin\leftmargin}\item[\hskip\labelsep                                    \bfseries\abstractname]}    {\endlist}\renewcommand{\abstractname}{Abstract.}\renewcommand{\contentsname}{Table of Contents}\renewcommand{\figurename}{Fig.}\renewcommand{\tablename}{Table}\newdimen\headlineindent             % dimension for space between\headlineindent=1.166cm              % number and text of headings.\def\ps@headings{\let\@mkboth\@gobbletwo   \let\@oddfoot\@empty\let\@evenfoot\@empty   \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%                  \leftmark\hfil}   \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}%                 \llap{\thepage}}   \def\chaptermark##1{}%   \def\sectionmark##1{}%   \def\subsectionmark##1{}}\def\ps@titlepage{\let\@mkboth\@gobbletwo   \let\@oddfoot\@empty\let\@evenfoot\@empty   \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}%                  \hfil}   \def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}%                 \llap{\thepage}}   \def\chaptermark##1{}%   \def\sectionmark##1{}%   \def\subsectionmark##1{}}\if@runhead\ps@headings\else\ps@empty\fi\setlength\arraycolsep{1.4\p@}\setlength\tabcolsep{1.4\p@}\endinput
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