%%
%% This is file `latex.ltx',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% ltdirchk.dtx  (with options: `initex,2ekernel,dircheck')
%% ltplain.dtx  (with options: `2ekernel')
%% ltvers.dtx  (with options: `2ekernel')
%% ltdefns.dtx  (with options: `2ekernel')
%% ltalloc.dtx  (with options: `2ekernel')
%% ltcntrl.dtx  (with options: `2ekernel')
%% lterror.dtx  (with options: `2ekernel')
%% ltpar.dtx  (with options: `2ekernel')
%% ltspace.dtx  (with options: `2ekernel')
%% ltlogos.dtx  (with options: `2ekernel')
%% ltfiles.dtx  (with options: `2ekernel')
%% ltoutenc.dtx  (with options: `2ekernel')
%% ltcounts.dtx  (with options: `2ekernel')
%% ltlength.dtx  (with options: `2ekernel')
%% ltfssbas.dtx  (with options: `2ekernel')
%% ltfsstrc.dtx  (with options: `2ekernel')
%% ltfsscmp.dtx  (with options: `compat,2ekernel')
%% ltfssdcl.dtx  (with options: `compat,2ekernel')
%% ltfssini.dtx  (with options: `compat')
%% ltfntcmd.dtx  (with options: `2ekernel')
%% ltpageno.dtx  (with options: `2ekernel')
%% ltxref.dtx  (with options: `2ekernel')
%% ltmiscen.dtx  (with options: `2ekernel')
%% ltmath.dtx  (with options: `2ekernel')
%% ltlists.dtx  (with options: `2ekernel')
%% ltboxes.dtx  (with options: `2ekernel')
%% lttab.dtx  (with options: `2ekernel')
%% ltpictur.dtx  (with options: `2ekernel')
%% ltthm.dtx  (with options: `2ekernel')
%% ltsect.dtx  (with options: `2ekernel')
%% ltfloat.dtx  (with options: `2ekernel')
%% ltidxglo.dtx  (with options: `2ekernel')
%% ltbibl.dtx  (with options: `2ekernel')
%% ltpage.dtx  (with options: `2ekernel')
%% ltoutput.dtx  (with options: `2ekernel')
%% ltclass.dtx  (with options: `2ekernel')
%% ltfinal.dtx  (with options: `2ekernel')
%% 
%% This is a generated file.
%% 
%% Copyright 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006
%% The LaTeX3 Project and any individual authors listed elsewhere
%% in this file.
%% 
%% This file was generated from file(s) of the LaTeX base system.
%% --------------------------------------------------------------
%% 
%% It may be distributed and/or modified under the
%% conditions of the LaTeX Project Public License, either version 1.3c
%% of this license or (at your option) any later version.
%% The latest version of this license is in
%%    http://www.latex-project.org/lppl.txt
%% and version 1.3c or later is part of all distributions of LaTeX
%% version 2005/12/01 or later.
%% 
%% This file has the LPPL maintenance status "maintained".
%% 
%% This file may only be distributed together with a copy of the LaTeX
%% base system. You may however distribute the LaTeX base system without
%% such generated files.
%% 
%% The list of all files belonging to the LaTeX base distribution is
%% given in the file `manifest.txt'. See also `legal.txt' for additional
%% information.
%% 
%% The list of derived (unpacked) files belonging to the distribution
%% and covered by LPPL is defined by the unpacking scripts (with
%% extension .ins) which are part of the distribution.
%%% From File: ltdirchk.dtx
\ifnum\catcode`\{=1
  \errmessage
  {LaTeX must be made using an initex with no format preloaded}
\fi
\catcode`\{=1
\catcode`\}=2
\catcode`\#=6
\catcode`\^=7
\chardef\active=13
\catcode`\@=11
\countdef\count@=255
\let\bgroup={ \let\egroup=}
\ifx\@@input\@undefined\let\@@input\input\fi
\ifx\@@end\@undefined\let\@@end\end\fi
\chardef\@inputcheck0
\chardef\sixt@@n=16
\newlinechar`\^^J
\def\typeout{\immediate\write17}
\def\dospecials{\do\ \do\\\do\{\do\}\do\$\do\&%
  \do\#\do\^\do\_\do\%\do\~}
\def\@makeother#1{\catcode`#1=12\relax}
\def\space{ }
\def\@tempswafalse{\let\if@tempswa\iffalse}
\def\@tempswatrue{\let\if@tempswa\iftrue}
\let\if@tempswa\iffalse
\def\loop#1\repeat{\def\iterate{#1\relax\expandafter\iterate\fi}%
  \iterate \let\iterate\relax}
\let\repeat\fi
\def\two@digits#1{\ifnum#1<10 0\fi\number#1}
\long\def\@firstoftwo#1#2{#1}
\long\def\@secondoftwo#1#2{#2}
\def\ProvidesFile#1{%
  \begingroup
    \catcode`\ 10 %
    \ifnum \endlinechar<256 %
      \ifnum \endlinechar>\m@ne
        \catcode\endlinechar 10 %
      \fi
    \fi
    \@makeother\/%
    \@ifnextchar[{\@providesfile{#1}}{\@providesfile{#1}[]}}
\def\@providesfile#1[#2]{%
    \wlog{File: #1 #2}%
    \@addtofilelist{ #2}%
    \endgroup}
\long\def\@addtofilelist#1{}
\def\@empty{}
\catcode`\%=12
\def\@percentchar{%}
\catcode`\%=14
\let\@currdir\@undefined
\let\input@path\@undefined
\let\filename@parse\@undefined
\def\strip@prefix#1>{}
\input texsys.cfg
\begingroup
\count@\time
\divide\count@ 60
\count2=-\count@
\multiply\count2 60
\advance\count2 \time
\edef\today{%
  \the\year/\two@digits{\the\month}/\two@digits{\the\day}:%
    \two@digits{\the\count@}:\two@digits{\the\count2}}
\immediate\openout15=texsys.aux
\immediate\write15{\today^^J}
\immediate\closeout15 %
\def\IfFileExists#1#2#3{%
  \openin\@inputcheck#1 %
  \ifeof\@inputcheck
     #3\relax
  \else
    \read\@inputcheck to \reserved@a
    \ifx\reserved@a\today
      \typeout{#1 found}#2\relax
    \else
      \typeout{BAD: old file \reserved@a (should be \today)}%
      #3\relax
    \fi
  \fi
  \closein\@inputcheck}
\endlinechar=-1
\ifx\@currdir\@undefined
  \IfFileExists{./texsys.aux}{\gdef\@currdir{./}}%
    {\IfFileExists{[]texsys.aux}{\gdef\@currdir{[]}}%
      {\IfFileExists{:texsys.aux}{\gdef\@currdir{:}}{}}}
  \ifx\@currdir\@undefined
    \global\let\@currdir\@empty
    \typeout{^^J^^J%
      !! No syntax for the current directory could be found^^J%
      }%
  \fi
\else
  \IfFileExists{\@currdir texsys.aux}{}{%
    \edef\reserved@a{\errhelp{%
      texsys.cfg specifies the current directory syntax to be^^J%
      \meaning\@currdir^^J%
      but this does not work on this system.^^J%
      Remove texsys.cfg and restart.}}\reserved@a
    \errmessage{Bad texsys.cfg file: \noexpand\@currdir}\@@end}
\fi
\immediate\closeout15 %
\endgroup
\typeout{^^J^^J%
         \noexpand\@currdir set to:
           \expandafter\strip@prefix\meaning\@currdir.^^J%
         }
  \typeout{^^J%
    Assuming \noexpand\openin and \noexpand\input^^J%
    \ifx\input@path\@undefined
      have the same search path.^^J%
    \else
      have different  search paths.^^J%
      LaTeX will use the path specified by \noexpand\input@path:^^J%
    \fi
    }
\ifx\filename@parse\@undefined
  \def\reserved@a{./}\ifx\@currdir\reserved@a
    \typeout{^^JDefining UNIX/DOS style filename parser.^^J}
    \def\filename@parse#1{%
      \let\filename@area\@empty
      \expandafter\filename@path#1/\\}
    \def\filename@path#1/#2\\{%
      \ifx\\#2\\%
         \def\reserved@a{\filename@simple#1.\\}%
      \else
         \edef\filename@area{\filename@area#1/}%
         \def\reserved@a{\filename@path#2\\}%
      \fi
      \reserved@a}
  \else\def\reserved@a{[]}\ifx\@currdir\reserved@a
    \typeout{^^JDefining VMS style filename parser.^^J}
    \def\filename@parse#1{%
      \let\filename@area\@empty
      \expandafter\filename@path#1]\\}
    \def\filename@path#1]#2\\{%
      \ifx\\#2\\%
         \def\reserved@a{\filename@simple#1.\\}%
      \else
         \edef\filename@area{\filename@area#1]}%
         \def\reserved@a{\filename@path#2\\}%
      \fi
      \reserved@a}
  \else\def\reserved@a{:}\ifx\@currdir\reserved@a
    \typeout{^^JDefining Mac style filename parser.^^J}
    \def\filename@parse#1{%
      \let\filename@area\@empty
      \expandafter\filename@path#1:\\}
    \def\filename@path#1:#2\\{%
      \ifx\\#2\\%
         \def\reserved@a{\filename@simple#1.\\}%
      \else
         \edef\filename@area{\filename@area#1:}%
         \def\reserved@a{\filename@path#2\\}%
      \fi
      \reserved@a}
  \else
    \typeout{^^JDefining generic filename parser.^^J}
    \def\filename@parse#1{%
      \let\filename@area\@empty
      \expandafter\filename@simple#1.\\}
  \fi\fi\fi
  \def\filename@simple#1.#2\\{%
    \ifx\\#2\\%
       \let\filename@ext\relax
    \else
       \edef\filename@ext{\filename@dot#2\\}%
    \fi
    \edef\filename@base{#1}}
  \def\filename@dot#1.\\{#1}
\else
  \typeout{^^J^^J%
    \noexpand\filename@parse was defined in texsys.cfg:^^J%
    \expandafter\strip@prefix\meaning\filename@parse.^^J%
    }
\fi
\ifx\@TeXversion\@undefined
  \ifx\@undefined\inputlineno
    \def\@TeXversion{2}
  \else
   {\catcode`\^^J=\active
     \def\reserved@a#1#2\@@{\if#1\string^3\fi}
     \edef\reserved@a{\expandafter\reserved@a\string^^J\@@}
     \ifx\reserved@a\@empty\else\gdef\@TeXversion{3}\fi}
  \fi
\fi
%%% From File: ltplain.dtx
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \<
%%   Equals        \=     Greater than  \>     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
%%
\catcode`\{=1 % left brace is begin-group character
\catcode`\}=2 % right brace is end-group character
\catcode`\$=3 % dollar sign is math shift
\catcode`\&=4 % ampersand is alignment tab
\catcode`\#=6 % hash mark is macro parameter character
\catcode`\^=7 % circumflex and uparrow are for superscripts
\catcode`\_=8 % underline and downarrow are for subscripts
\catcode`\^^I=10 % ascii tab is a blank space
\chardef\active=13 \catcode`\~=\active % tilde is active
\catcode`\^^L=\active \outer\def^^L{\par}% ascii form-feed is \outer\par
\message{catcodes,}
\def\dospecials{\do\ \do\\\do\{\do\}\do\$\do\&%
  \do\#\do\^\do\_\do\%\do\~}
\catcode`@=11
\chardef\@ne=1
\chardef\tw@=2
\chardef\thr@@=3
\chardef\sixt@@n=16
\chardef\@cclv=255
\mathchardef\@cclvi=256
\mathchardef\@m=1000
\mathchardef\@M=10000
\mathchardef\@MM=20000
\message{registers,}
\count10=22 % allocates \count registers 23, 24, ...
\count11=9 % allocates \dimen registers 10, 11, ...
\count12=9 % allocates \skip registers 10, 11, ...
\count13=9 % allocates \muskip registers 10, 11, ...
\count14=9 % allocates \box registers 10, 11, ...
\count15=9 % allocates \toks registers 10, 11, ...
\count16=-1 % allocates input streams 0, 1, ...
\count17=-1 % allocates output streams 0, 1, ...
\count18=3 % allocates math families 4, 5, ...
\count19=0 % allocates \language codes 1, 2, ...
\count20=255 % allocates insertions 254, 253, ...
\countdef\insc@unt=20
\countdef\allocationnumber=21
\countdef\m@ne=22 \m@ne=-1
\def\wlog{\immediate\write\m@ne}
\countdef\count@=255
\dimendef\dimen@=0
\dimendef\dimen@i=1 % global only
\dimendef\dimen@ii=2
\skipdef\skip@=0
\toksdef\toks@=0
\def\newcount{\alloc@0\count\countdef\insc@unt}
\def\newdimen{\alloc@1\dimen\dimendef\insc@unt}
\def\newskip{\alloc@2\skip\skipdef\insc@unt}
\def\newmuskip{\alloc@3\muskip\muskipdef\@cclvi}
\def\newbox{\alloc@4\box\chardef\insc@unt}
\def\newhelp#1#2{\newtoks#1#1\expandafter{\csname#2\endcsname}}
\def\newtoks{\alloc@5\toks\toksdef\@cclvi}
\def\newread{\alloc@6\read\chardef\sixt@@n}
\def\newwrite{\alloc@7\write\chardef\sixt@@n}
\def\newlanguage{\alloc@9\language\chardef\@cclvi}
\def\alloc@#1#2#3#4#5{\global\advance\count1#1\@ne
  \ch@ck#1#4#2% make sure there's still room
  \allocationnumber\count1#1%
  \global#3#5\allocationnumber
  \wlog{\string#5=\string#2\the\allocationnumber}}
\def\newinsert#1{\global\advance\insc@unt \m@ne
  \ch@ck0\insc@unt\count
  \ch@ck1\insc@unt\dimen
  \ch@ck2\insc@unt\skip
  \ch@ck4\insc@unt\box
  \allocationnumber\insc@unt
  \global\chardef#1\allocationnumber
  \wlog{\string#1=\string\insert\the\allocationnumber}}
\gdef\ch@ck#1#2#3{%
  \ifnum\count1#1<#2\else
   \errmessage{No room for a new #3}%
  \fi}
\newdimen\maxdimen \maxdimen=16383.99999pt % the largest legal <dimen>
\newskip\hideskip \hideskip=-1000pt plus 1fill % negative but can grow
\newdimen\p@ \p@=1pt % this saves macro space and time
\newdimen\z@ \z@=0pt % can be used both for 0pt and 0
\newskip\z@skip \z@skip=0pt plus0pt minus0pt
\newbox\voidb@x % permanently void box register
\message{compatibility for TeX 2, }
\ifx\@undefined\inputlineno
  \newcount\inputlineno
  \inputlineno-1
  \ifx\@undefined\language
    \newcount\language
  \fi
  \newcount\lefthyphenmin
  \newcount\righthyphenmin
  \newcount\errorcontextlines
  \newcount\holdinginserts
  \newdimen\emergencystretch
  \newcount\badness
  \let\noboundary\relax
  \newcount\setlanguage
\fi
\message{parameters,}
\pretolerance=100
\tolerance=200 % INITEX sets this to 10000
\hbadness=1000
\vbadness=1000
\linepenalty=10
\hyphenpenalty=50
\exhyphenpenalty=50
\binoppenalty=700
\relpenalty=500
\clubpenalty=150
\widowpenalty=150
\displaywidowpenalty=50
\brokenpenalty=100
\predisplaypenalty=10000
\doublehyphendemerits=10000
\finalhyphendemerits=5000
\adjdemerits=10000
\tracinglostchars=1
\uchyph=1
\defaulthyphenchar=`\-
\defaultskewchar=-1
\delimiterfactor=901
\showboxbreadth=-1
\showboxdepth=-1
\errorcontextlines=-1
\hfuzz=0.1pt
\vfuzz=0.1pt
\overfullrule=5pt
\maxdepth=4pt
\splitmaxdepth=\maxdimen
\boxmaxdepth=\maxdimen
\delimitershortfall=5pt
\nulldelimiterspace=1.2pt
\scriptspace=0.5pt
\parindent=20pt
\parskip=0pt plus 1pt
\abovedisplayskip=12pt plus 3pt minus 9pt
\abovedisplayshortskip=0pt plus 3pt
\belowdisplayskip=12pt plus 3pt minus 9pt
\belowdisplayshortskip=7pt plus 3pt minus 4pt
\topskip=10pt
\splittopskip=10pt
\parfillskip=0pt plus 1fil
\newskip\normalbaselineskip \normalbaselineskip=12pt
\newskip\normallineskip \normallineskip=1pt
\newdimen\normallineskiplimit \normallineskiplimit=0pt
\newcount\interfootnotelinepenalty \interfootnotelinepenalty=100
\def\magstephalf{1095 }
\def\magstep#1{\ifcase#1 \@m\or 1200\or 1440\or 1728\or
               2074\or 2488\fi\relax}
\def\frenchspacing{\sfcode`\.\@m \sfcode`\?\@m \sfcode`\!\@m
  \sfcode`\:\@m \sfcode`\;\@m \sfcode`\,\@m}
\def\nonfrenchspacing{\sfcode`\.3000\sfcode`\?3000\sfcode`\!3000%
  \sfcode`\:2000\sfcode`\;1500\sfcode`\,1250 }
\def\normalbaselines{\lineskip\normallineskip
  \baselineskip\normalbaselineskip \lineskiplimit\normallineskiplimit}
\def\^^M{\ } % control <return> = control <space>
\let\^^I\^^M % same for <tab>
\def\lq{`}
\def\rq{'}
\def\lbrack{[}
\def\rbrack{]}
\def \aa {\r a}
\def \AA {\r A}
\let\endgraf=\par
\let\endline=\cr
\def\space{ }
\let\empty\@empty
\def\null{\hbox{}}
\let\bgroup={
\let\egroup=}
{\catcode`\^^M=\active % these lines must end with %
  \gdef\obeylines{\catcode`\^^M\active \let^^M\par}%
  \global\let^^M\par} % this is in case ^^M appears in a \write
\def\obeyspaces{\catcode`\ \active}
{\obeyspaces\global\let =\space}
\long\def \loop #1\repeat{%
  \def\iterate{#1\relax  % Extra \relax
               \expandafter\iterate\fi
               }%
  \iterate
  \let\iterate\relax
}
\let\repeat=\fi
\def\nointerlineskip{\prevdepth-\@m\p@}
\def\offinterlineskip{\baselineskip-\@m\p@
  \lineskip\z@ \lineskiplimit\maxdimen}
\def\vglue{\afterassignment\vgl@\skip@=}
\def\vgl@{\par \dimen@\prevdepth \hrule \@height\z@
  \nobreak\vskip\skip@ \prevdepth\dimen@}
\def\hglue{\afterassignment\hgl@\skip@=}
\def\hgl@{\leavevmode \count@\spacefactor \vrule \@width\z@
  \nobreak\hskip\skip@ \spacefactor\count@}
\def\slash{/\penalty\exhyphenpenalty} % a `/' that acts like a `-'
\def\break{\penalty-\@M}
\def\nobreak{\penalty \@M}
\def\allowbreak{\penalty \z@}
\def\filbreak{\par\vfil\penalty-200\vfilneg}
\def\goodbreak{\par\penalty-500 }
\def\eject{\par\break}
\def\removelastskip{\ifdim\lastskip=\z@\else\vskip-\lastskip\fi}
\def\smallbreak{\par\ifdim\lastskip<\smallskipamount
  \removelastskip\penalty-50\smallskip\fi}
\def\medbreak{\par\ifdim\lastskip<\medskipamount
  \removelastskip\penalty-100\medskip\fi}
\def\bigbreak{\par\ifdim\lastskip<\bigskipamount
  \removelastskip\penalty-200\bigskip\fi}
\def\m@th{\mathsurround\z@}
\def\underbar#1{\underline{\sbox\tw@{#1}\dp\tw@\z@\box\tw@}}
\newbox\strutbox
\def\strut{\relax\ifmmode\copy\strutbox\else\unhcopy\strutbox\fi}
\def\hidewidth{\hskip\hideskip}
\def\narrower{%
  \advance\leftskip\parindent
  \advance\rightskip\parindent}
\chardef\%=`\%
\chardef\&=`\&
\chardef\#=`\#
\def\leavevmode{\unhbox\voidb@x}
\def\mathhexbox#1#2#3{\mbox{$\m@th \mathchar"#1#2#3$}}
\def\ialign{\everycr{}\tabskip\z@skip\halign} % initialized \halign
\def\oalign#1{\leavevmode\vtop{\baselineskip\z@skip \lineskip.25ex%
  \ialign{##\crcr#1\crcr}}}
\def\o@lign{\lineskiplimit\z@ \oalign}
\def\ooalign{\lineskiplimit-\maxdimen \oalign}
\def\sh@ft#1{\dimen@.00#1ex\multiply\dimen@\fontdimen1\font
  \kern-.0156\dimen@} % compensate for slant in lowered accents
\def\ltx@sh@ft #1{%
  \dimen@ #1%
  \kern \strip@pt
    \fontdimen1\font \dimen@
  } % kern by #1 times the current slant
\def\hrulefill{\leavevmode\leaders\hrule\hfill\kern\z@}
\def\dotfill{%
  \leavevmode
  \cleaders \hb@xt@ .44em{\hss.\hss}\hfill
  \kern\z@}
\sfcode`\)=0 \sfcode`\'=0 \sfcode`\]=0
\def\showoverfull{\tracingonline\@ne}
\gdef\loggingoutput{\tracingoutput\@ne
    \showboxbreadth\maxdimen\showboxdepth\maxdimen\errorstopmode}
\gdef\showoutput{\loggingoutput\showoverfull}
\gdef\loggingall{\tracingcommands\tw@\tracingstats\tw@
  \tracingpages\@ne\tracinglostchars\@ne
  \tracingmacros\tw@\tracingparagraphs\@ne\tracingrestores\@ne
  \errorcontextlines\maxdimen\loggingoutput}
\gdef\tracingall{\loggingall\showoverfull}
\nonfrenchspacing
%%% From File: ltvers.dtx
\def\fmtname{LaTeX2e}
\edef\fmtversion{2005/12/01}
\iftrue
\def\reserved@a#1/#2/#3\@nil{%
  \count@\year
  \advance\count@-#1\relax
  \multiply\count@ by 12\relax
  \advance\count@\month
  \advance\count@-#2\relax}
\expandafter\reserved@a\fmtversion\@nil
\ifnum\count@>65
  \typeout{^^J%
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!^^J%
!  You are attempting to make a LaTeX format from a source file^^J%
!  That is more than five years old.^^J%
!^^J%
!  If you enter <return> to scroll past this message then the format^^J%
!  will be built, but please consider obtaining newer source files^^J%
!  before continuing to build LaTeX.^^J%
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!^^J%
}
   \errhelp{To avoid this error message, obtain new LaTeX sources.}
   \errmessage{LaTeX source files more than 5 years old!}
\fi
\let\reserved@a\relax
\fi
\everyjob{\typeout{\fmtname
                                     \space<\fmtversion>}}
\immediate\write16{\fmtname
                                     \space<\fmtversion>}
%%% From File: ltdefns.dtx
\def\two@digits#1{\ifnum#1<10 0\fi\number#1}
\def\typeout#1{\begingroup\set@display@protect
    \immediate\write\@unused{#1}\endgroup}
\newlinechar`\^^J
\let\@@par=\par
\let\@@hyph=\-        % Save original primitive definition
\def\-{\discretionary{-}{}{}}
\let\@dischyph=\-
\let\@@italiccorr=\/
\def\@height{height} \def\@depth{depth} \def\@width{width}
\def\@minus{minus}
\def\@plus{plus}
\def\hb@xt@{\hbox to}
\message{hacks,}
\def\typein{%
  \let\@typein\relax
  \@testopt\@xtypein\@typein}
\def\@xtypein[#1]#2{%
  \typeout{#2}%
  \advance\endlinechar\@M
  \read\@inputcheck to#1%
  \advance\endlinechar-\@M
  \@typein}
\def\@namedef#1{\expandafter\def\csname #1\endcsname}
\def\@nameuse#1{\csname #1\endcsname}
\def\@cons#1#2{\begingroup\let\@elt\relax\xdef#1{#1\@elt #2}\endgroup}
\def\@car#1#2\@nil{#1}
\def\@cdr#1#2\@nil{#2}
\def\@carcube#1#2#3#4\@nil{#1#2#3}
\def\@preamblecmds{}
\def\@onlypreamble#1{%
  \expandafter\gdef\expandafter\@preamblecmds\expandafter{%
       \@preamblecmds\do#1}}
\@onlypreamble\@onlypreamble
\@onlypreamble\@preamblecmds
\def\@star@or@long#1{%
  \@ifstar
   {\let\l@ngrel@x\relax#1}%
   {\let\l@ngrel@x\long#1}}

\let\l@ngrel@x\relax
\def\newcommand{\@star@or@long\new@command}
\def\new@command#1{%
  \@testopt{\@newcommand#1}0}
\def\@newcommand#1[#2]{%
  \kernel@ifnextchar [{\@xargdef#1[#2]}%
                {\@argdef#1[#2]}}
\long\def\@argdef#1[#2]#3{%
   \@ifdefinable #1{\@yargdef#1\@ne{#2}{#3}}}
\long\def\@xargdef#1[#2][#3]#4{%
  \@ifdefinable#1{%
     \expandafter\def\expandafter#1\expandafter{%
          \expandafter
          \@protected@testopt
          \expandafter
          #1%
          \csname\string#1\endcsname
          {#3}}%
       \expandafter\@yargdef
          \csname\string#1\endcsname
           \tw@
           {#2}%
           {#4}}}
\long\def\@testopt#1#2{%
  \kernel@ifnextchar[{#1}{#1[{#2}]}}
\def\@protected@testopt#1{%%
  \ifx\protect\@typeset@protect
    \expandafter\@testopt
  \else
    \@x@protect#1%
  \fi}
\long \def \@yargdef #1#2#3{%
  \ifx#2\tw@
    \def\reserved@b##11{[####1]}%
  \else
    \let\reserved@b\@gobble
  \fi
  \expandafter
    \@yargd@f \expandafter{\number #3}#1%
}
\long \def \@yargd@f#1#2{%
  \def \reserved@a ##1#1##2##{%
    \expandafter\def\expandafter#2\reserved@b ##1#1%
    }%
  \l@ngrel@x \reserved@a 0##1##2##3##4##5##6##7##8##9###1%
}
\long\def\@reargdef#1[#2]{%
  \@yargdef#1\@ne{#2}}
\def\renewcommand{\@star@or@long\renew@command}
\def\renew@command#1{%
  \begingroup \escapechar\m@ne\xdef\@gtempa{{\string#1}}\endgroup
  \expandafter\@ifundefined\@gtempa
     {\@latex@error{\noexpand#1undefined}\@ehc}%
     \relax
  \let\@ifdefinable\@rc@ifdefinable
  \new@command#1}
\long\def\@ifdefinable #1#2{%
      \edef\reserved@a{\expandafter\@gobble\string #1}%
     \@ifundefined\reserved@a
         {\edef\reserved@b{\expandafter\@carcube \reserved@a xxx\@nil}%
          \ifx \reserved@b\@qend \@notdefinable\else
            \ifx \reserved@a\@qrelax \@notdefinable\else
              #2%
            \fi
          \fi}%
         \@notdefinable}
\let\@@ifdefinable\@ifdefinable
\long\def\@rc@ifdefinable#1#2{%
  \let\@ifdefinable\@@ifdefinable
  #2}
\def\newenvironment{\@star@or@long\new@environment}
\def\new@environment#1{%
  \@testopt{\@newenva#1}0}
\def\@newenva#1[#2]{%
   \kernel@ifnextchar [{\@newenvb#1[#2]}{\@newenv{#1}{[#2]}}}
\def\@newenvb#1[#2][#3]{\@newenv{#1}{[#2][{#3}]}}
\def\renewenvironment{\@star@or@long\renew@environment}
\def\renew@environment#1{%
  \@ifundefined{#1}%
     {\@latex@error{Environment #1 undefined}\@ehc
     }\relax
  \expandafter\let\csname#1\endcsname\relax
  \expandafter\let\csname end#1\endcsname\relax
  \new@environment{#1}}
\long\def\@newenv#1#2#3#4{%
  \@ifundefined{#1}%
    {\expandafter\let\csname#1\expandafter\endcsname
                         \csname end#1\endcsname}%
    \relax
  \expandafter\new@command
     \csname #1\endcsname#2{#3}%
     \l@ngrel@x\expandafter\def\csname end#1\endcsname{#4}}
\def\newif#1{%
  \count@\escapechar \escapechar\m@ne
    \let#1\iffalse
    \@if#1\iftrue
    \@if#1\iffalse
  \escapechar\count@}
\def\@if#1#2{%
  \expandafter\def\csname\expandafter\@gobbletwo\string#1%
                    \expandafter\@gobbletwo\string#2\endcsname
                       {\let#1#2}}
\def\providecommand{\@star@or@long\provide@command}
\def\provide@command#1{%
  \begingroup
    \escapechar\m@ne\xdef\@gtempa{{\string#1}}%
  \endgroup
  \expandafter\@ifundefined\@gtempa
    {\def\reserved@a{\new@command#1}}%
    {\def\reserved@a{\renew@command\reserved@a}}%
   \reserved@a}%
\def\CheckCommand{\@star@or@long\check@command}
\@onlypreamble\CheckCommand
\def\check@command#1#2#{\@check@c#1{#2}}
\@onlypreamble\check@command
\long\def\@check@c#1#2#3{%
  \expandafter\let\csname\string\reserved@a\endcsname\relax
  \renew@command\reserved@a#2{#3}%
  \@ifundefined{\string\reserved@a}%
   {\@check@eq#1\reserved@a}%
   {\expandafter\@check@eq
           \csname\string#1\expandafter\endcsname
           \csname\string\reserved@a\endcsname}}
\@onlypreamble\@check@c
\def\@check@eq#1#2{%
  \ifx#1#2\else
     \@latex@warning@no@line
               {Command \noexpand#1 has
                changed.\MessageBreak
                Check if current package is valid}%
  \fi}
\@onlypreamble\@check@eq
\long\def \@gobble #1{}
\long\def \@gobbletwo #1#2{}
\long\def \@gobblefour #1#2#3#4{}
\long\def\@firstofone#1{#1}
\long\def\@firstoftwo#1#2{#1}
\long\def\@secondoftwo#1#2{#2}
\let\@iden\@firstofone
\long\def\@thirdofthree#1#2#3{#3}
\def\@expandtwoargs#1#2#3{%
\edef\reserved@a{\noexpand#1{#2}{#3}}\reserved@a}
\edef\@backslashchar{\expandafter\@gobble\string\\}
\def\@unexpandable@protect{\noexpand\protect\noexpand}
\def\DeclareRobustCommand{\@star@or@long\declare@robustcommand}
\def\declare@robustcommand#1{%
   \ifx#1\@undefined\else\ifx#1\relax\else
      \@latex@info{Redefining \string#1}%
   \fi\fi
   \edef\reserved@a{\string#1}%
   \def\reserved@b{#1}%
   \edef\reserved@b{\expandafter\strip@prefix\meaning\reserved@b}%
   \edef#1{%
      \ifx\reserved@a\reserved@b
         \noexpand\x@protect
         \noexpand#1%
      \fi
      \noexpand\protect
      \expandafter\noexpand\csname
         \expandafter\@gobble\string#1 \endcsname
   }%
   \let\@ifdefinable\@rc@ifdefinable
   \expandafter\new@command\csname
      \expandafter\@gobble\string#1 \endcsname
}
\def\x@protect#1{%
   \ifx\protect\@typeset@protect\else
      \@x@protect#1%
   \fi
}
\def\@x@protect#1\fi#2#3{%
   \fi\protect#1%
}
\let\@typeset@protect\relax
\def\set@display@protect{\let\protect\string}
\def\set@typeset@protect{\let\protect\@typeset@protect}
\def\protected@edef{%
   \let\@@protect\protect
   \let\protect\@unexpandable@protect
   \afterassignment\restore@protect
   \edef
}
\def\protected@xdef{%
   \let\@@protect\protect
   \let\protect\@unexpandable@protect
   \afterassignment\restore@protect
   \xdef
}
\def\unrestored@protected@xdef{%
   \let\protect\@unexpandable@protect
   \xdef
}
\def\restore@protect{\let\protect\@@protect}
\set@typeset@protect
\def\@ifundefined#1{%
  \expandafter\ifx\csname#1\endcsname\relax
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi}
\edef\@qend{\expandafter\@cdr\string\end\@nil}
\edef\@qrelax{\expandafter\@cdr\string\relax\@nil}
\long\def\@ifnextchar#1#2#3{%
  \let\reserved@d=#1%
  \def\reserved@a{#2}%
  \def\reserved@b{#3}%
  \futurelet\@let@token\@ifnch}
\let\kernel@ifnextchar\@ifnextchar
\def\@ifnch{%
  \ifx\@let@token\@sptoken
    \let\reserved@c\@xifnch
  \else
    \ifx\@let@token\reserved@d
      \let\reserved@c\reserved@a
    \else
      \let\reserved@c\reserved@b
    \fi
  \fi
  \reserved@c}
\def\:{\let\@sptoken= } \:  % this makes \@sptoken a space token
\def\:{\@xifnch} \expandafter\def\: {\futurelet\@let@token\@ifnch}

\def\makeatletter{\catcode`\@11\relax}
\def\makeatother{\catcode`\@12\relax}
\def\@ifstar#1{\@ifnextchar *{\@firstoftwo{#1}}}
\long\def\@dblarg#1{\kernel@ifnextchar[{#1}{\@xdblarg{#1}}}
\long\def\@xdblarg#1#2{#1[{#2}]{#2}}
\def\@sanitize{\@makeother\ \@makeother\\\@makeother\$\@makeother\&%
\@makeother\#\@makeother\^\@makeother\_\@makeother\%\@makeother\~}
\def \@onelevel@sanitize #1{%
  \edef #1{\expandafter\strip@prefix
           \meaning #1}%
}
%%% From File: ltalloc.dtx
\chardef\@xxxii=32
\mathchardef\@Mi=10001
\mathchardef\@Mii=10002
\mathchardef\@Miii=10003
\mathchardef\@Miv=10004
\newcount\@tempcnta
\newcount\@tempcntb
\newif\if@tempswa
\newdimen\@tempdima
\newdimen\@tempdimb
\newdimen\@tempdimc
\newbox\@tempboxa
\newskip\@tempskipa
\newskip\@tempskipb
\newtoks\@temptokena
\newskip\@flushglue \@flushglue = 0pt plus 1fil
%%% From File: ltcntrl.dtx
\message{control,}
\long\def\@whilenum#1\do #2{\ifnum #1\relax #2\relax\@iwhilenum{#1\relax
     #2\relax}\fi}
\long\def\@iwhilenum#1{\ifnum #1\expandafter\@iwhilenum
         \else\expandafter\@gobble\fi{#1}}
\long\def\@whiledim#1\do #2{\ifdim #1\relax#2\@iwhiledim{#1\relax#2}\fi}
\long\def\@iwhiledim#1{\ifdim #1\expandafter\@iwhiledim
        \else\expandafter\@gobble\fi{#1}}
\long\def\@whilesw#1\fi#2{#1#2\@iwhilesw{#1#2}\fi\fi}
\long\def\@iwhilesw#1\fi{#1\expandafter\@iwhilesw
         \else\@gobbletwo\fi{#1}\fi}
\def\@nnil{\@nil}
\def\@empty{}
\def\@fornoop#1\@@#2#3{}
\long\def\@for#1:=#2\do#3{%
  \expandafter\def\expandafter\@fortmp\expandafter{#2}%
  \ifx\@fortmp\@empty \else
    \expandafter\@forloop#2,\@nil,\@nil\@@#1{#3}\fi}
\long\def\@forloop#1,#2,#3\@@#4#5{\def#4{#1}\ifx #4\@nnil \else
       #5\def#4{#2}\ifx #4\@nnil \else#5\@iforloop #3\@@#4{#5}\fi\fi}
\long\def\@iforloop#1,#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
       \expandafter\@fornoop \else
      #4\relax\expandafter\@iforloop\fi#2\@@#3{#4}}
\def\@tfor#1:={\@tf@r#1 }
\long\def\@tf@r#1#2\do#3{\def\@fortmp{#2}\ifx\@fortmp\space\else
    \@tforloop#2\@nil\@nil\@@#1{#3}\fi}
\long\def\@tforloop#1#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
       \expandafter\@fornoop \else
      #4\relax\expandafter\@tforloop\fi#2\@@#3{#4}}
\long\def\@break@tfor#1\@@#2#3{\fi\fi}
\def\@removeelement#1#2#3{%
  \def\reserved@a##1,#1,##2\reserved@a{##1,##2\reserved@b}%
  \def\reserved@b##1,\reserved@b##2\reserved@b{%
    \ifx,##1\@empty\else##1\fi}%
  \edef#3{%
    \expandafter\reserved@b\reserved@a,#2,\reserved@b,#1,\reserved@a}}
%%% From File: lterror.dtx
\expandafter\let\csname ver@autoerr.sty\endcsname\fmtversion
\let\MessageBreak\relax
\DeclareRobustCommand{\GenericInfo}[2]{%
   \begingroup
      \def\MessageBreak{^^J#1}%
      \set@display@protect
      \immediate\write\m@ne{#2\on@line.}%
   \endgroup
}
\DeclareRobustCommand{\GenericWarning}[2]{%
   \begingroup
      \def\MessageBreak{^^J#1}%
      \set@display@protect
      \immediate\write\@unused{^^J#2\on@line.^^J}%
   \endgroup
}
\bgroup
\lccode`\@=`\ %
\lccode`\~=`\ %
\lccode`\}=`\ %
\lccode`\{=`\ %
\lccode`\T=`\T%
\lccode`\H=`\H%
\catcode`\ =11\relax%
\lowercase{%
\egroup%
\dimen@\ifx\@TeXversion\@undefined4\else\@TeXversion\fi\p@%
\ifdim\dimen@>3.14\p@%
\DeclareRobustCommand{\GenericError}[4]{%
\begingroup%
\immediate\write\@unused{}%
\def\MessageBreak{^^J}%
\set@display@protect%
\edef%
\@err@                                                                 %
{{#4}}%
\errhelp
\@err@                                                                 %
\let
\@err@                                                                 %
\@empty
\def\MessageBreak{^^J#1}%
\def~{\errmessage{%
#2.^^J^^J%
#3^^J%
Type  H <return>  for immediate help%
\@err@                                                                 %
}}%
~%
\endgroup}%
\else%
\DeclareRobustCommand{\GenericError}[4]{%
\begingroup%
\immediate\write\@unused{}%
\def\MessageBreak{^^J}%
\set@display@protect%
\edef%
\@err@                                                                 %
{{#4}}%
\errhelp
\@err@                                                                 %
\let
\@err@                                                                 %
\errmessage
\def\MessageBreak{^^J#1}%
\def~{\typeout{! %
#2.^^J^^J%
#3^^J%
Type  H <return>  for immediate help.}%
\@err@                                                                 %
{}}%
~%
\endgroup}%
\fi}%
\gdef\PackageError#1#2#3{%
   \GenericError{%
      (#1)\@spaces\@spaces\@spaces\@spaces
   }{%
      Package #1 Error: #2%
   }{%
      See the #1 package documentation for explanation.%
   }{#3}%
}
\def\PackageWarning#1#2{%
   \GenericWarning{%
      (#1)\@spaces\@spaces\@spaces\@spaces
   }{%
      Package #1 Warning: #2%
   }%
}
\def\PackageWarningNoLine#1#2{%
   \PackageWarning{#1}{#2\@gobble}%
}
\def\PackageInfo#1#2{%
   \GenericInfo{%
      (#1) \@spaces\@spaces\@spaces
   }{%
      Package #1 Info: #2%
   }%
}
\gdef\ClassError#1#2#3{%
   \GenericError{%
      (#1) \space\@spaces\@spaces\@spaces
   }{%
      Class #1 Error: #2%
   }{%
      See the #1 class documentation for explanation.%
   }{#3}%
}
\def\ClassWarning#1#2{%
   \GenericWarning{%
      (#1) \space\@spaces\@spaces\@spaces
   }{%
      Class #1 Warning: #2%
   }%
}
\def\ClassWarningNoLine#1#2{%
   \ClassWarning{#1}{#2\@gobble}%
}
\def\ClassInfo#1#2{%
   \GenericInfo{%
      (#1) \space\space\@spaces\@spaces
   }{%
      Class #1 Info: #2%
   }%
}
\gdef\@latex@error#1#2{%
   \GenericError{%
      \space\space\space\@spaces\@spaces\@spaces
   }{%
      LaTeX Error: #1%
   }{%
      See the LaTeX manual or LaTeX Companion for explanation.%
   }{#2}%
}
\def\@latex@warning#1{%
   \GenericWarning{%
      \space\space\space\@spaces\@spaces\@spaces
   }{%
      LaTeX Warning: #1%
   }%
}
\def\@latex@warning@no@line#1{%
   \@latex@warning{#1\@gobble}}
\def\@latex@info#1{%
   \GenericInfo{%
      \@spaces\@spaces\@spaces
   }{%
      LaTeX Info: #1%
   }%
}
\def\@latex@info@no@line#1{%
  \@latex@info{#1\@gobble}}
\let\c@errorcontextlines\errorcontextlines
\c@errorcontextlines=-1
\ifnum\inputlineno=\m@ne
  \let\on@line\@empty
\else
  \def\on@line{ on input line \the\inputlineno}
\fi
\let\@warning\@latex@warning
\let\@@warning\@latex@warning@no@line
\global\let\@latexerr\@latex@error
\def\@spaces{\space\space\space\space}
\gdef\@eha{%
  Your command was ignored.\MessageBreak
  Type \space I <command> <return> \space to replace it %
  with another command,\MessageBreak
  or \space <return> \space to continue without it.}
\gdef\@ehb{%
  You've lost some text. \space \@ehc}
\gdef\@ehc{%
  Try typing \space <return> %
  \space to proceed.\MessageBreak
  If that doesn't work, type \space X <return> \space to quit.}
\gdef\@ehd{%
  You're in trouble here.  \space\@ehc}
\gdef\@notdefinable{%
 \@latex@error{%
   Command \@backslashchar\reserved@a\space
   already defined.\MessageBreak
   Or name \@backslashchar\@qend... illegal,
   see p.192 of the manual}\@eha}
\gdef\@nolnerr{%
  \@latex@error{There's no line here to end}\@eha}
\gdef\@nocounterr#1{%
  \@latex@error{No counter '#1' defined}\@eha}
\gdef\@nocnterr{\@nocounterr?}
\gdef\@ctrerr{%
  \@latex@error{Counter too large}\@ehb}
\gdef\@nodocument{%
  \@latex@error{Missing \protect\begin{document}}\@ehd}
\gdef\@badend#1{%
  \@latex@error{\protect\begin{\@currenvir}\@currenvline
                     \space ended by \protect\end{#1}}\@eha}
\gdef\@badmath{%
  \@latex@error{Bad math environment delimiter}\@eha}
\gdef\@toodeep{%
  \@latex@error{Too deeply nested}\@ehd}
\gdef\@badpoptabs{%
  \@latex@error{\protect\pushtabs\space and \protect\poptabs
      \space don't match}\@ehd}
\gdef\@badtab{%
 \@latex@error{Undefined tab position}\@ehd}
\gdef\@preamerr#1{%
  \begingroup
    \let\protect\relax
    \@latex@error{\ifcase #1 Illegal character\or
     Missing @-exp\or Missing p-arg\fi\space
     in array arg}\@ehd
  \endgroup}
\gdef\@badlinearg{%
  \@latex@error{%
       Bad \protect\line\space or \protect\vector
       \space argument}\@ehb}
\gdef\@parmoderr{%
  \@latex@error{Not in outer par mode}\@ehb}
\gdef\@fltovf{%
  \@latex@error{Too many unprocessed floats}\@ehb}
\gdef\@latexbug{%
  \@latex@error{This may be a LaTeX bug}{Call for help}}
\gdef\@noitemerr{%
  \@latex@error{Something's wrong--perhaps a missing %
      \protect\item}\@ehc}
\gdef\@notprerr{%
  \@latex@error{Can be used only in preamble}\@eha}
\gdef\@inmatherr#1{%
   \relax
   \ifmmode
 \@latex@error{Command \protect#1 invalid in math mode}\@ehc
   \fi}
%%% From File: ltpar.dtx
\message{par,}
\def\@setpar#1{\def\par{#1}\def\@par{#1}}
\def\@par{\let\par\@@par\par}
\def\@restorepar{\def\par{\@par}}
%%% From File: ltspace.dtx
\message{spacing,}
\def\pagebreak{\@testopt{\@no@pgbk-}4}
\def\nopagebreak{\@testopt\@no@pgbk4}
\def\@no@pgbk #1[#2]{%
  \ifvmode
    \penalty #1\@getpen{#2}%
  \else
    \@bsphack
    \vadjust{\penalty #1\@getpen{#2}}%
    \@esphack
  \fi}
\def\linebreak{\@testopt{\@no@lnbk-}4}
\def\nolinebreak{\@testopt\@no@lnbk4}
\def\@no@lnbk #1[#2]{%
  \ifvmode
    \@nolnerr
  \else
    \@tempskipa\lastskip
    \unskip
    \penalty #1\@getpen{#2}%
    \ifdim\@tempskipa>\z@
      \hskip\@tempskipa
      \ignorespaces
    \fi
  \fi}
\def\samepage{\interlinepenalty\@M
   \postdisplaypenalty\@M
   \interdisplaylinepenalty\@M
   \@beginparpenalty\@M
   \@endparpenalty\@M
   \@itempenalty\@M
   \@secpenalty\@M
   \interfootnotelinepenalty\@M}
\DeclareRobustCommand\\{%
  \let \reserved@e \relax
  \let \reserved@f \relax
  \@ifstar{\let \reserved@e \vadjust \let \reserved@f \nobreak
             \@xnewline}%
          \@xnewline}
\expandafter\let\expandafter\@normalcr
     \csname\expandafter\@gobble\string\\ \endcsname
\DeclareRobustCommand\newline{\@normalcr\relax}
\def\@xnewline{\@ifnextchar[% ] bracket matching
                  \@newline
                 {\@gnewline\relax}}
\def\@newline[#1]{\let \reserved@e \vadjust
                   \@gnewline {\vskip #1}}
\def\@gnewline #1{%
  \ifvmode
    \@nolnerr
  \else
    \unskip \reserved@e {\reserved@f#1}\nobreak \hfil \break
  \fi}
\def\@getpen#1{\ifcase #1 \z@ \or \@lowpenalty\or
         \@medpenalty \or \@highpenalty
         \else \@M \fi}
\def\@nobreakfalse{\global\let\if@nobreak\iffalse}
\def\@nobreaktrue {\global\let\if@nobreak\iftrue}
\@nobreakfalse
\newdimen\@savsk
\newcount\@savsf
\def\@bsphack{%
  \relax
  \ifhmode
    \@savsk\lastskip
    \@savsf\spacefactor
  \fi}
\def\@esphack{%
  \relax
  \ifhmode
    \spacefactor\@savsf
    \ifdim\@savsk>\z@
      \ignorespaces
    \fi
  \fi}
\def\@Esphack{%
  \relax
  \ifhmode
    \spacefactor\@savsf
    \ifdim\@savsk>\z@
      \@ignoretrue
      \ignorespaces
    \fi
   \fi}
\def\@xaddvskip{%
  \ifdim\lastskip<\@tempskipb
    \vskip-\lastskip
    \vskip\@tempskipb
  \else
    \ifdim\@tempskipb<\z@
      \ifdim\lastskip<\z@
      \else
        \advance\@tempskipb\lastskip
        \vskip-\lastskip
        \vskip \@tempskipb
      \fi
    \fi
  \fi}
\def\addvspace#1{%
  \ifvmode
     \if@minipage\else
       \ifdim \lastskip =\z@
         \vskip #1\relax
       \else
       \@tempskipb#1\relax
         \@xaddvskip
       \fi
     \fi
  \else
    \@noitemerr
  \fi}
\def\addpenalty#1{%
  \ifvmode
    \if@minipage
    \else
      \if@nobreak
      \else
        \ifdim\lastskip=\z@
          \penalty#1\relax
        \else
          \@tempskipb\lastskip
          \vskip -\lastskip
          \penalty#1%
          \vskip\@tempskipb
        \fi
      \fi
    \fi
  \else
    \@noitemerr
  \fi}
\DeclareRobustCommand\vspace{\@ifstar\@vspacer\@vspace}
\def\@vspace #1{%
  \ifvmode
    \vskip #1
    \vskip\z@skip
   \else
     \@bsphack
     \vadjust{\@restorepar
              \vskip #1
              \vskip\z@skip
              }%
     \@esphack
   \fi}
\def\@vspacer#1{%
  \ifvmode
    \dimen@\prevdepth
    \hrule \@height\z@
    \nobreak
    \vskip #1
    \vskip\z@skip
    \prevdepth\dimen@
  \else
    \@bsphack
    \vadjust{\@restorepar
             \hrule \@height\z@
             \nobreak
             \vskip #1
             \vskip\z@skip}%
    \@esphack
  \fi}
\def\smallskip{\vspace\smallskipamount}
\def\medskip{\vspace\medskipamount}
\def\bigskip{\vspace\bigskipamount}
\newskip\smallskipamount \smallskipamount=3pt plus 1pt minus 1pt
\newskip\medskipamount   \medskipamount  =6pt plus 2pt minus 2pt
\newskip\bigskipamount   \bigskipamount =12pt plus 4pt minus 4pt
\DeclareRobustCommand{\nobreakdashes}{%
  \leavevmode
  \toks@{}%
  \def\reserved@a##1{\toks@\expandafter{\the\toks@-}%
                     \futurelet\@let@token \reserved@b}%
  \def\reserved@b   {\ifx\@let@token -%
                        \expandafter\reserved@a
                     \else
                       \setbox\z@ \hbox{\the\toks@\nobreak}%
                       \unhbox\z@
                       \spacefactor\sfcode`\-
                     \fi}%
  \futurelet\@let@token \reserved@b
}
\DeclareRobustCommand{\nobreakspace}{%
   \leavevmode\nobreak\ }
\catcode `\~=13
\def~{\nobreakspace{}}
\expandafter\let\expandafter\@xobeysp\csname nobreakspace \endcsname
\DeclareRobustCommand{\,}{%
   \relax\ifmmode\mskip\thinmuskip\else\thinspace\fi
}
\def\@{\spacefactor\@m}
\DeclareRobustCommand\hspace{\@ifstar\@hspacer\@hspace}
\def\@hspace#1{\hskip #1\relax}
\def\@hspacer#1{\vrule \@width\z@\nobreak
                \hskip #1\hskip \z@skip}
\newskip\fill
\fill = 0pt plus 1fill
\def\stretch#1{\z@ \@plus #1fill\relax}
\def\thinspace{\kern .16667em }
\def\negthinspace{\kern-.16667em }
\def\enspace{\kern.5em }
\def\enskip{\hskip.5em\relax}
\def\quad{\hskip1em\relax}
\def\qquad{\hskip2em\relax}
{\catcode`\^^M=13 \gdef\obeycr{\catcode`\^^M13 \def^^M{\\\relax}%
    \@gobblecr}%
{\catcode`\^^M=13 \gdef\@gobblecr{\@ifnextchar
\@gobble\ignorespaces}}
\gdef\restorecr{\catcode`\^^M5 }}
%%% From File: ltlogos.dtx
\def\TeX{T\kern-.1667em\lower.5ex\hbox{E}\kern-.125emX\@}
\DeclareRobustCommand{\LaTeX}{L\kern-.36em%
        {\sbox\z@ T%
         \vbox to\ht\z@{\hbox{\check@mathfonts
                              \fontsize\sf@size\z@
                              \math@fontsfalse\selectfont
                              A}%
                        \vss}%
        }%
        \kern-.15em%
        \TeX}
\DeclareRobustCommand{\LaTeXe}{\mbox{\m@th
  \if b\expandafter\@car\f@series\@nil\boldmath\fi
  \LaTeX\kern.15em2$_{\textstyle\varepsilon}$}}
%%% From File: ltfiles.dtx
\message{files,}
\newread\@inputcheck
\newwrite\@unused
\newwrite\@mainaux
\newwrite\@partaux
\newif\if@filesw \@fileswtrue
\newif\if@partsw \@partswfalse
\newcount\@clubpenalty
\@clubpenalty \clubpenalty
\def\document{\endgroup
  \ifx\@unusedoptionlist\@empty\else
    \@latex@warning@no@line{Unused global option(s):^^J%
            \@spaces[\@unusedoptionlist]}%
  \fi
  \@colht\textheight
  \@colroom\textheight \vsize\textheight
  \columnwidth\textwidth
  \@clubpenalty\clubpenalty
  \if@twocolumn
    \advance\columnwidth -\columnsep
    \divide\columnwidth\tw@ \hsize\columnwidth \@firstcolumntrue
  \fi
  \hsize\columnwidth \linewidth\hsize
  \begingroup\@floatplacement\@dblfloatplacement
    \makeatletter\let\@writefile\@gobbletwo
    \global \let \@multiplelabels \relax
    \@input{\jobname.aux}%
  \endgroup
  \if@filesw
    \immediate\openout\@mainaux\jobname.aux
    \immediate\write\@mainaux{\relax}%
  \fi
  \process@table
  \let\glb@currsize\@empty  %% Force math initialization.
  \normalsize
  \everypar{}%
  \ifx\normalsfcodes\@empty
    \ifnum\sfcode`\.=\@m
      \let\normalsfcodes\frenchspacing
    \else
      \let\normalsfcodes\nonfrenchspacing
    \fi
  \fi
  \@noskipsecfalse
  \let \@refundefined \relax
  \let\AtBeginDocument\@firstofone
  \@begindocumenthook
  \ifdim\topskip<1sp\global\topskip 1sp\relax\fi
  \global\@maxdepth\maxdepth
  \global\let\@begindocumenthook\@undefined
  \ifx\@listfiles\@undefined
    \global\let\@filelist\relax
    \global\let\@addtofilelist\@gobble
  \fi
  \gdef\do##1{\global\let ##1\@notprerr}%
  \@preamblecmds
  \global\let \@nodocument \relax
  \global\let\do\noexpand
  \ignorespaces}
\@onlypreamble\document
\let\normalsfcodes\@empty
\def\nofiles{%
  \@fileswfalse
  \typeout{No auxiliary output files.^^J}%
  \long\def\protected@write##1##2##3%
    {\write\m@ne{}\if@nobreak\ifvmode\nobreak\fi\fi}%
  \let\makeindex\relax
  \let\makeglossary\relax}
\@onlypreamble\nofiles
\long\def \protected@write#1#2#3{%
      \begingroup
       \let\thepage\relax
       #2%
       \let\protect\@unexpandable@protect
       \edef\reserved@a{\write#1{#3}}%
       \reserved@a
      \endgroup
      \if@nobreak\ifvmode\nobreak\fi\fi
}
\let\@auxout=\@mainaux
\def\includeonly#1{%
  \@partswtrue
  \edef\@partlist{\zap@space#1 \@empty}}
\@onlypreamble\includeonly
\def\include#1{\relax
  \ifnum\@auxout=\@partaux
    \@latex@error{\string\include\space cannot be nested}\@eha
  \else \@include#1 \fi}
\def\@include#1 {%
  \clearpage
  \if@filesw
    \immediate\write\@mainaux{\string\@input{#1.aux}}%
  \fi
  \@tempswatrue
  \if@partsw
    \@tempswafalse
    \edef\reserved@b{#1}%
    \@for\reserved@a:=\@partlist\do
      {\ifx\reserved@a\reserved@b\@tempswatrue\fi}%
  \fi
  \if@tempswa
    \let\@auxout\@partaux
    \if@filesw
      \immediate\openout\@partaux #1.aux
      \immediate\write\@partaux{\relax}%
    \fi
    \@input@{#1.tex}%
    \clearpage
    \@writeckpt{#1}%
    \if@filesw
      \immediate\closeout\@partaux
    \fi
  \else
    \deadcycles\z@
    \@nameuse{cp@#1}%
  \fi
  \let\@auxout\@mainaux}
\def\@writeckpt#1{%
  \if@filesw
    \immediate\write\@partaux{\string\@setckpt{#1}\@charlb}%
    {\let\@elt\@wckptelt \cl@@ckpt}%
    \immediate\write\@partaux{\@charrb}%
  \fi}
\def\@wckptelt#1{%
  \immediate\write\@partaux{%
    \string\setcounter{#1}{\the\@nameuse{c@#1}}}}
\def\@setckpt#1{\global\@namedef{cp@#1}}
{\catcode`[=1 \catcode`]=2
\catcode`{=11 \catcode`}=11
\gdef\@charlb[{]
\gdef\@charrb[}]
]% }brace matching
\long\def \IfFileExists#1#2#3{%
  \openin\@inputcheck#1 %
  \ifeof\@inputcheck
    \ifx\input@path\@undefined
      \def\reserved@a{#3}%
    \else
      \def\reserved@a{\@iffileonpath{#1}{#2}{#3}}%
    \fi
  \else
    \closein\@inputcheck
    \edef\@filef@und{#1 }%
    \def\reserved@a{#2}%
  \fi
  \reserved@a}
\long\def\@iffileonpath#1{%
  \let\reserved@a\@secondoftwo
  \expandafter\@tfor\expandafter\reserved@b\expandafter
             :\expandafter=\input@path\do{%
    \openin\@inputcheck\reserved@b#1 %
    \ifeof\@inputcheck\else
      \edef\@filef@und{\reserved@b#1 }%
      \let\reserved@a\@firstoftwo%
      \closein\@inputcheck
      \@break@tfor
    \fi}%
  \reserved@a}
\long\def \InputIfFileExists#1#2{%
  \IfFileExists{#1}%
    {#2\@addtofilelist{#1}\@@input \@filef@und}}
\def\input{\@ifnextchar\bgroup\@iinput\@@input}
\def\@iinput#1{%
  \InputIfFileExists{#1}{}%
  {\filename@parse{#1}%
   \edef\reserved@a{\noexpand\@missingfileerror
     {\filename@area\filename@base}%
     {\ifx\filename@ext\relax tex\else\filename@ext\fi}}%
   \reserved@a}}
\def\@input#1{%
  \IfFileExists{#1}{\@@input\@filef@und}{\typeout{No file #1.}}}
\def\@input@#1{\InputIfFileExists{#1}{}{\typeout{No file #1.}}}
\gdef\@missingfileerror#1#2{%
     \typeout{^^J! LaTeX Error: File `#1.#2' not found.^^J^^J%
      Type X to quit or <RETURN> to proceed,^^J%
      or enter new name. (Default extension: #2)^^J}%
     \message{Enter file name: }%
      {\endlinechar\m@ne
       \global\read\m@ne to\@gtempa}%
    \ifx\@gtempa\@empty
    \else
      \def\reserved@a{x}\ifx\reserved@a\@gtempa\batchmode\@@end\fi
      \def\reserved@a{X}\ifx\reserved@a\@gtempa\batchmode\@@end\fi
      \filename@parse\@gtempa
      \edef\filename@ext{%
        \ifx\filename@ext\relax#2\else\filename@ext\fi}%
     \edef\reserved@a{%
       \noexpand\InputIfFileExists
         {\filename@area\filename@base.\filename@ext}%
         {}%
         {\noexpand\@missingfileerror
            {\filename@area\filename@base}{\filename@ext}}}%
      \reserved@a
    \fi}
\def\@obsoletefile#1#2{%
   \@latex@warning@no@line{inputting `#1' instead of obsolete `#2'}}
\@onlypreamble\@obsoletefile
\let\@filelist\@gobble
\def\listfiles{%
  \let\listfiles\relax
  \def\@listfiles##1##2##3##4##5##6##7##8##9\@@{%
     \def\reserved@d{\\}%
     \@tfor\reserved@c:=##1##2##3##4##5##6##7##8\do{%
       \ifx\reserved@c\reserved@d
         \edef\filename@area{ \filename@area}%
       \fi}}%
  \def\@dofilelist{%
     \typeout{^^J *File List*}%
     \@for\@currname:=\@filelist\do{%
       \filename@parse\@currname
       \edef\reserved@a{%
          \filename@base.%
          \ifx\filename@ext\relax tex\else\filename@ext\fi}%
       \expandafter\let\expandafter\reserved@b
                              \csname ver@\reserved@a\endcsname
       \expandafter\expandafter\expandafter\@listfiles\expandafter
             \filename@area\filename@base\\\\\\\\\\\\\\\\\\\@@
       \typeout{%
         \filename@area\reserved@a
         \ifx\reserved@b\relax\else\@spaces\reserved@b\fi}}%
     \typeout{ ***********^^J}}}
\@onlypreamble\listfiles
\let\@dofilelist\relax
%%% From File: ltoutenc.dtx
\message{font encodings,}
\def\DeclareTextCommand{%
   \@dec@text@cmd\newcommand}
\def\ProvideTextCommand{%
   \@dec@text@cmd\providecommand}
\def\@dec@text@cmd#1#2#3{%
   \expandafter\def\expandafter#2%
      \expandafter{%
         \csname#3-cmd\expandafter\endcsname
         \expandafter#2%
         \csname#3\string#2\endcsname
      }%
   \let\@ifdefinable\@rc@ifdefinable
   \expandafter#1\csname#3\string#2\endcsname}
\def\chardef@text@cmd{%
   \let\@ifdefinable\@@ifdefinable
   \chardef
  }
\def\DeclareTextSymbol#1#2#3{%
   \@dec@text@cmd\chardef@text@cmd#1{#2}#3\relax
  }
\@onlypreamble\DeclareTextCommand
\@onlypreamble\DeclareTextSymbol
\def\@current@cmd#1{%
   \ifx\protect\@typeset@protect
      \@inmathwarn#1%
   \else
      \noexpand#1\expandafter\@gobble
   \fi}
\def\@changed@cmd#1#2{%
   \ifx\protect\@typeset@protect
      \@inmathwarn#1%
      \expandafter\ifx\csname\cf@encoding\string#1\endcsname\relax
         \expandafter\ifx\csname ?\string#1\endcsname\relax
            \expandafter\def\csname ?\string#1\endcsname{%
               \TextSymbolUnavailable#1%
            }%
         \fi
         \global\expandafter\let
               \csname\cf@encoding \string#1\expandafter\endcsname
               \csname ?\string#1\endcsname
      \fi
      \csname\cf@encoding\string#1%
         \expandafter\endcsname
   \else
      \noexpand#1%
   \fi}
\gdef\TextSymbolUnavailable#1{%
   \@latex@error{%
      Command \protect#1 unavailable in encoding \cf@encoding%
   }\@eha}
\def\@inmathwarn#1{%
   \ifmmode
      \@latex@warning{Command \protect#1 invalid in math mode}%
   \fi}
\def\DeclareTextCommandDefault#1{%
   \DeclareTextCommand#1?}
\def\ProvideTextCommandDefault#1{%
   \ProvideTextCommand#1?}
\@onlypreamble\DeclareTextCommandDefault
\expandafter\let\csname?-cmd\endcsname\@changed@cmd
\def\DeclareTextAccent#1#2#3{%
   \DeclareTextCommand#1{#2}{\add@accent{#3}}}
\@onlypreamble\DeclareTextAccent
\def\add@accent#1#2{\hmode@bgroup
   \let\hmode@start@before@group\@firstofone
   \setbox\@tempboxa\hbox{#2%
      \global\mathchardef\accent@spacefactor\spacefactor}%
   \accent#1 #2\egroup\spacefactor\accent@spacefactor}
\let\accent@spacefactor\relax
\def\hmode@bgroup{\leavevmode\bgroup}
\def\DeclareTextCompositeCommand#1#2#3#4{%
  \expandafter\let\expandafter\reserved@a\csname#2\string#1\endcsname
  \expandafter\expandafter\expandafter\ifx
  \expandafter\@car\reserved@a\relax\relax\@nil \@text@composite \else
      \edef\reserved@b##1{%
         \def\expandafter\noexpand
            \csname#2\string#1\endcsname####1{%
            \noexpand\@text@composite
               \expandafter\noexpand\csname#2\string#1\endcsname
               ####1\noexpand\@empty\noexpand\@text@composite
               {##1}}}%
      \expandafter\reserved@b\expandafter{\reserved@a{##1}}%
   \fi
   \expandafter\def\csname\expandafter\string\csname
      #2\endcsname\string#1-\string#3\endcsname{#4}}
\@onlypreamble\DeclareTextCompositeCommand
\def\@text@composite#1#2#3\@text@composite{%
   \expandafter\@text@composite@x
      \csname\string#1-\string#2\endcsname}
\def\@text@composite@x#1{%
   \ifx#1\relax
      \expandafter\@secondoftwo
   \else
      \expandafter\@firstoftwo
   \fi
   #1}
\catcode\z@=11\relax
\def\DeclareTextComposite#1#2#3#4{%
   \def\reserved@a{\DeclareTextCompositeCommand#1{#2}{#3}}%
   \bgroup
      \lccode\z@#4%
      \lowercase{%
   \egroup
      \reserved@a ^^@}}
\catcode\z@=15\relax
\@onlypreamble\DeclareTextComposite
\def\UseTextAccent#1#2#3{%
  \hmode@start@before@group
   {%
    \let\hmode@start@before@group\@firstofone
    \let\@curr@enc\cf@encoding
    \@use@text@encoding{#1}%
    #2{\@use@text@encoding\@curr@enc#3}%
   }}
\def\UseTextSymbol#1#2{%
       \hmode@start@before@group
       {%
          \def\@wrong@font@char{\MessageBreak
             for \noexpand\symbol`\string#2'}%
          \@use@text@encoding{#1}%
          #2%
       }%
    }
\def\@use@text@encoding#1{%
   \edef\f@encoding{#1}%
   \xdef\font@name{%
      \csname\curr@fontshape/\f@size\endcsname}%
   \pickup@font
   \font@name
   \@@enc@update}
\let\hmode@start@before@group\leavevmode
\def\DeclareTextSymbolDefault#1#2{%
   \DeclareTextCommandDefault#1{\UseTextSymbol{#2}#1}}
\def\DeclareTextAccentDefault#1#2{%
   \DeclareTextCommandDefault#1{\UseTextAccent{#2}#1}}
\@onlypreamble\DeclareTextSymbolDefault
\@onlypreamble\DeclareTextAccentDefault
\def\UndeclareTextCommand#1#2{%
  \expandafter\ifx\csname#2\string#1\endcsname\relax
  \else
     \global\expandafter\let\csname#2\string#1\endcsname
            \@undefined
     \expandafter\expandafter\expandafter
     \ifx\expandafter\@thirdofthree#1\@undefined
       \expandafter\gdef\expandafter#1\expandafter
          {\csname ?-cmd\expandafter\endcsname\expandafter
           #1\csname?\string#1\endcsname}%
     \fi
 \fi
}
\@onlypreamble\UndeclareTextCommand
\def\@tabacckludge#1{\expandafter\@changed@cmd
                                 \csname\string#1\endcsname\relax}
\let\a=\@tabacckludge
\DeclareTextAccentDefault{\"}{OT1}
\DeclareTextAccentDefault{\'}{OT1}
\DeclareTextAccentDefault{\.}{OT1}
\DeclareTextAccentDefault{\=}{OT1}
\DeclareTextAccentDefault{\H}{OT1}
\DeclareTextAccentDefault{\^}{OT1}
\DeclareTextAccentDefault{\`}{OT1}
\DeclareTextAccentDefault{\b}{OT1}
\DeclareTextAccentDefault{\c}{OT1}
\DeclareTextAccentDefault{\d}{OT1}
\DeclareTextAccentDefault{\r}{OT1}
\DeclareTextAccentDefault{\u}{OT1}
\DeclareTextAccentDefault{\v}{OT1}
\DeclareTextAccentDefault{\~}{OT1}
\DeclareTextSymbolDefault{\AE}{OT1}
\DeclareTextSymbolDefault{\L}{OT1}
\DeclareTextSymbolDefault{\OE}{OT1}
\DeclareTextSymbolDefault{\O}{OT1}
\DeclareTextSymbolDefault{\ae}{OT1}
\DeclareTextSymbolDefault{\i}{OT1}
\DeclareTextSymbolDefault{\j}{OT1}
\DeclareTextSymbolDefault{\ij}{OT1}
\DeclareTextSymbolDefault{\IJ}{OT1}
\DeclareTextSymbolDefault{\l}{OT1}
\DeclareTextSymbolDefault{\oe}{OT1}
\DeclareTextSymbolDefault{\o}{OT1}
\DeclareTextSymbolDefault{\ss}{OT1}
\DeclareTextSymbolDefault{\textdollar}{OT1}
\DeclareTextSymbolDefault{\textemdash}{OT1}
\DeclareTextSymbolDefault{\textendash}{OT1}
\DeclareTextSymbolDefault{\textexclamdown}{OT1}
\DeclareTextSymbolDefault{\textquestiondown}{OT1}
\DeclareTextSymbolDefault{\textquotedblleft}{OT1}
\DeclareTextSymbolDefault{\textquotedblright}{OT1}
\DeclareTextSymbolDefault{\textquoteleft}{OT1}
\DeclareTextSymbolDefault{\textquoteright}{OT1}
\DeclareTextSymbolDefault{\textsterling}{OT1}
\DeclareTextSymbolDefault{\textasteriskcentered}{OMS}
\DeclareTextSymbolDefault{\textbackslash}{OMS}
\DeclareTextSymbolDefault{\textbar}{OMS}
\DeclareTextSymbolDefault{\textbardbl}{OMS}
\DeclareTextSymbolDefault{\textbraceleft}{OMS}
\DeclareTextSymbolDefault{\textbraceright}{OMS}
\DeclareTextSymbolDefault{\textbullet}{OMS}
\DeclareTextSymbolDefault{\textdaggerdbl}{OMS}
\DeclareTextSymbolDefault{\textdagger}{OMS}
\DeclareTextSymbolDefault{\textparagraph}{OMS}
\DeclareTextSymbolDefault{\textperiodcentered}{OMS}
\DeclareTextSymbolDefault{\textsection}{OMS}
\DeclareTextAccentDefault{\textcircled}{OMS}
\DeclareTextSymbolDefault{\textless}{OML}
\DeclareTextSymbolDefault{\textgreater}{OML}
\DeclareTextAccentDefault{\t}{OML}
\DeclareTextCommandDefault{\textcopyright}{\textcircled{c}}
\DeclareTextCommandDefault{\textasciicircum}{\^{}}
\DeclareTextCommandDefault{\textasciitilde}{\~{}}
\DeclareTextCommandDefault{\textcompwordmark}{\leavevmode\kern\z@}
\DeclareTextCommandDefault{\textunderscore}{%
  \leavevmode \kern.06em\vbox{\hrule\@width.3em}}
\DeclareTextCommandDefault{\textvisiblespace}{%
   \mbox{\kern.06em\vrule \@height.3ex}%
   \vbox{\hrule \@width.3em}%
   \hbox{\vrule \@height.3ex}}
\DeclareTextCommandDefault{\textellipsis}{%
   .\kern\fontdimen3\font
   .\kern\fontdimen3\font
   .\kern\fontdimen3\font}
\DeclareTextCommandDefault{\textregistered}{\textcircled{%
      \check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}}
\DeclareTextCommandDefault{\texttrademark}{\textsuperscript{TM}}
\DeclareTextCommandDefault{\SS}{SS}
\DeclareTextCommandDefault{\textordfeminine}{\textsuperscript{a}}
\DeclareTextCommandDefault{\textordmasculine}{\textsuperscript{o}}
\DeclareRobustCommand{\$}{\ifmmode\mathdollar\else\textdollar\fi}
\DeclareRobustCommand{\{}{\ifmmode\lbrace\else\textbraceleft\fi}
\DeclareRobustCommand{\}}{\ifmmode\rbrace\else\textbraceright\fi}
\DeclareRobustCommand{\P}{\ifmmode\mathparagraph\else\textparagraph\fi}
\DeclareRobustCommand{\S}{\ifmmode\mathsection\else\textsection\fi}
\DeclareRobustCommand{\dag}{\ifmmode{\dagger}\else\textdagger\fi}
\DeclareRobustCommand{\ddag}{\ifmmode{\ddagger}\else\textdaggerdbl\fi}
\DeclareRobustCommand{\_}{%
   \ifmmode\nfss@text{\textunderscore}\else\textunderscore\fi}
\DeclareRobustCommand{\copyright}{%
   \ifmmode{\nfss@text{\textcopyright}}\else\textcopyright\fi}
\DeclareRobustCommand{\pounds}{%
   \ifmmode\mathsterling\else\textsterling\fi}
\DeclareRobustCommand{\dots}{%
   \ifmmode\mathellipsis\else\textellipsis\fi}
\let\ldots\dots
%%% From File: ltcounts.dtx
\def\setcounter#1#2{%
  \@ifundefined{c@#1}%
    {\@nocounterr{#1}}%
    {\global\csname c@#1\endcsname#2\relax}}
\def\addtocounter#1#2{%
  \@ifundefined{c@#1}%
    {\@nocounterr{#1}}%
    {\global\advance\csname c@#1\endcsname #2\relax}}
\def\newcounter#1{%
  \expandafter\@ifdefinable \csname c@#1\endcsname
    {\@definecounter{#1}}%
  \@ifnextchar[{\@newctr{#1}}{}}
\def\value#1{\csname c@#1\endcsname}
\def\@newctr#1[#2]{%
  \@ifundefined{c@#2}{\@nocounterr{#2}}{\@addtoreset{#1}{#2}}}
\def\stepcounter#1{%
  \addtocounter{#1}\@ne
  \begingroup
    \let\@elt\@stpelt
    \csname cl@#1\endcsname
  \endgroup}
\def\@stpelt#1{\global\csname c@#1\endcsname \z@}
\def\cl@@ckpt{\@elt{page}}
\def\@definecounter#1{\expandafter\newcount\csname c@#1\endcsname
     \setcounter{#1}\z@
     \global\expandafter\let\csname cl@#1\endcsname\@empty
     \@addtoreset{#1}{@ckpt}%
     \global\expandafter\let\csname p@#1\endcsname\@empty
     \expandafter
     \gdef\csname the#1\expandafter\endcsname\expandafter
          {\expandafter\@arabic\csname c@#1\endcsname}}
\def\@addtoreset#1#2{\expandafter\@cons\csname cl@#2\endcsname {{#1}}}
\def\arabic#1{\expandafter\@arabic\csname c@#1\endcsname}
\def\roman#1{\expandafter\@roman\csname c@#1\endcsname}
\def\Roman#1{\expandafter\@Roman\csname c@#1\endcsname}
\def\alph#1{\expandafter\@alph\csname c@#1\endcsname}
\def\Alph#1{\expandafter\@Alph\csname c@#1\endcsname}
\def\fnsymbol#1{\expandafter\@fnsymbol\csname c@#1\endcsname}
\def\@arabic#1{\number #1}  %% changed 29 Apr 86
\def\@roman#1{\romannumeral #1}

\def\@Roman#1{\expandafter\@slowromancap\romannumeral #1@}
\def\@slowromancap#1{\ifx @#1% then terminate
     \else
       \if i#1I\else\if v#1V\else\if x#1X\else\if l#1L\else\if
       c#1C\else\if d#1D\else \if m#1M\else#1\fi\fi\fi\fi\fi\fi\fi
       \expandafter\@slowromancap
     \fi
}
\def\@alph#1{%
  \ifcase#1\or a\or b\or c\or d\or e\or f\or g\or h\or i\or j\or
   k\or l\or m\or n\or o\or p\or q\or r\or s\or t\or u\or v\or w\or x\or
    y\or z\else\@ctrerr\fi}
\def\@Alph#1{%
  \ifcase#1\or A\or B\or C\or D\or E\or F\or G\or H\or I\or J\or
   K\or L\or M\or N\or O\or P\or Q\or R\or S\or T\or U\or V\or W\or X\or
    Y\or Z\else\@ctrerr\fi}
\def\@fnsymbol#1{\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or
   \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger
   \or \ddagger\ddagger \else\@ctrerr\fi}}
%%% From File: ltlength.dtx
\message{lengths,}
\def\newlength#1{\@ifdefinable#1{\newskip#1}}
\def\setlength#1#2{#1#2\relax}
\def\addtolength#1#2{\advance#1 #2\relax}
\def\@settodim#1#2#3{\setbox\@tempboxa\hbox{{#3}}#2#1\@tempboxa
       \setbox\@tempboxa\box\voidb@x}
\def\settoheight{\@settodim\ht}
\def\settodepth {\@settodim\dp}
\def\settowidth {\@settodim\wd}
\def\@settopoint#1{\divide#1\p@\multiply#1\p@}
%%% From File: ltfssbas.dtx
%% Copyright (C) 1989-2002 Frank Mittelbach and Rainer Sch\"opf
\expandafter\let\csname ver@autofss1.sty\endcsname\fmtversion
\def\@nomath#1{\relax\ifmmode
   \@font@warning{Command \noexpand#1invalid in math mode}\fi}
\gdef\no@alphabet@error#1{\relax \ifmmode
    \@latex@error{Math\space alphabet\space identifier\space
          \noexpand#1is\space undefined\space in\space math\space
           version\space `\math@version'}%
        {Your\space requested\space math\space alphabet\space
         is\space undefined\space in\space the\space current\space
          math\space version.^^JCheck\space the\space spelling\space
          or\space use\space the\space \noexpand\SetMathAlphabet\space
          command.}
     \fi}
\def\new@mathgroup{\alloc@8\mathgroup\chardef\sixt@@n}
\let\mathgroup\fam
\let\newfam\new@mathgroup
\@onlypreamble\new@mathgroup
\def\DeclareFontShape{\begingroup
   \nfss@catcodes
   \expandafter\endgroup
   \DeclareFontShape@}
\def\DeclareFontShape@#1#2#3#4#5#6{%
   \expandafter\ifx\csname #1+#2\endcsname\relax
     \@latex@error{Font family `#1+#2' unknown}\@eha
   \else
     \expandafter
       \xdef\csname#1/#2/#3/#4\endcsname{\expandafter\noexpand
                                   \csname #5\endcsname}%
     \def\reserved@a{#6}%
     \global
     \expandafter\let\csname#5\expandafter\endcsname
        \ifx\reserved@a\@empty
          \@empty
        \else
          \reserved@a
        \fi
   \fi
  }
\def\DeclareFixedFont#1#2#3#4#5#6{%
   \begingroup
      \math@fontsfalse
      \every@math@size{}%
      \fontsize{#6}\z@
      \usefont{#2}{#3}{#4}{#5}%
      \global\expandafter\let\expandafter#1\the\font
   \endgroup
  }
\def\do@subst@correction{%
       \xdef\subst@correction{%
          \font@name
          \global\expandafter\font
            \csname \curr@fontshape/\f@size\endcsname
            \noexpand\fontname\font
           \relax}%
       \aftergroup\subst@correction
}
\def\DeclareFontFamily#1#2#3{%
 \@ifundefined{T@#1}%
    {%
     \@latex@error{Encoding scheme  `#1' unknown}\@eha
    }%
    {%
     \def\reserved@a{#3}%
     \global
     \expandafter\let\csname #1+#2\expandafter\endcsname
            \ifx \reserved@a\@empty
              \@empty
            \else \reserved@a
            \fi
    }%
}
\let\cdp@list\@empty
\@onlypreamble\cdp@list
\let\cdp@elt\relax
\@onlypreamble\cdp@elt
\def\DeclareFontEncoding{%
   \begingroup
   \nfss@catcodes
   \expandafter\endgroup
   \DeclareFontEncoding@}
\@onlypreamble\DeclareFontEncoding
\def\DeclareFontEncoding@#1#2#3{%
  \expandafter
  \ifx\csname T@#1\endcsname\relax
     \def\cdp@elt{\noexpand\cdp@elt}%
     \xdef\cdp@list{\cdp@list\cdp@elt{#1}%
                    {\default@family}{\default@series}%
                    {\default@shape}}%
     \expandafter\let\csname#1-cmd\endcsname\@changed@cmd
  \else
     \@font@info{Redeclaring font encoding #1}%
  \fi
  \global\@namedef{T@#1}{#2}%
  \global\@namedef{M@#1}{\default@M#3}%
  \xdef\LastDeclaredEncoding{#1}%
  }
\@onlypreamble\DeclareFontEncoding@
\def\LastDeclaredEncoding{}
\def\DeclareFontSubstitution#1#2#3#4{%
  \expandafter
  \ifx\csname T@#1\endcsname\relax
    \@latex@error{Encoding scheme  `#1' unknown}\@eha
  \else
    \begingroup
       \edef\reserved@a{#1}%
       \toks@{}%
       \def\cdp@elt##1##2##3##4{%
          \def\reserved@b{##1}%
          \ifx\reserved@a\reserved@b
             \addto@hook\toks@{\cdp@elt{##1}{#2}{#3}{#4}}%
          \else
             \addto@hook\toks@{\cdp@elt{##1}{##2}{##3}{##4}}%
          \fi}%
        \cdp@list
        \xdef\cdp@list{\the\toks@}%
    \endgroup
    \global
    \@namedef{D@#1}{%
           \def\default@family{#2}%
           \def\default@series{#3}%
           \def\default@shape{#4}%
           }%
  \fi
 }
\@onlypreamble\DeclareFontSubstitution
\def\DeclareFontEncodingDefaults#1#2{%
  \ifx\relax#1\else
    \ifx\default@T\@empty\else
      \@font@info{Overwriting encoding scheme text defaults}%
    \fi
    \gdef\default@T{#1}%
  \fi
  \ifx\relax#2\else
    \ifx\default@M\@empty\else
      \@font@info{Overwriting encoding scheme math defaults}%
    \fi
    \gdef\default@M{#2}%
  \fi
}
\@onlypreamble\DeclareFontEncodingDefaults
\let\default@T\@empty
\let\default@M\@empty
\def\DeclarePreloadSizes#1#2#3#4#5{%
 \@ifundefined{T@#1}%
   {\@latex@error{Encoding scheme  `#1' unknown}\@eha}%
   {%
   \begingroup
    \def\reserved@f##1,{%
        \if>##1>%
          \let\reserved@f\relax
        \else
          \xdef\font@name{\csname#1/#2/#3/#4/##1\endcsname}%
          \pickup@font
          \global\expandafter\let\font@name\relax
        \fi
        \reserved@f}%
     \reserved@f#5,,%
   \endgroup
   }%
}
\@onlypreamble\DeclarePreloadSizes
\newif\ifmath@fonts \math@fontstrue
\def\DeclareMathSizes{%
  \@ifstar{\@DeclareMathSizes\math@fontsfalse}%
          {\@DeclareMathSizes{}}}
\@onlypreamble\DeclareMathSizes
\def\@DeclareMathSizes#1#2#3#4#5{%
    \@defaultunits\dimen@#2pt\relax\@nnil
    \if$#3$%
      \expandafter \let
        \csname S@\strip@pt\dimen@\endcsname
        \math@fontsfalse
    \else
      \expandafter \gdef
      \csname S@\strip@pt\dimen@\endcsname
            {\gdef\tf@size{#3}\gdef\sf@size{#4}%
                             \gdef\ssf@size{#5}%
             #1%
                             }%
    \fi}
\@onlypreamble\@DeclareMathSizes
\DeclareRobustCommand\fontencoding[1]{%
    \expandafter\ifx\csname T@#1\endcsname\relax
      \@latex@error{Encoding scheme `#1' unknown}\@eha
    \else
      \edef\f@encoding{#1}%
      \ifx\cf@encoding\f@encoding
        \let\enc@update\relax
      \else
        \let\enc@update\@@enc@update
      \fi
    \fi
}
\def\@@enc@update{%
          \expandafter
          \let
            \csname\cf@encoding -cmd\endcsname
            \@changed@cmd
          \expandafter
          \let
            \csname\f@encoding-cmd\endcsname
            \@current@cmd
        \default@T
        \csname T@\f@encoding\endcsname
        \csname D@\f@encoding\endcsname
        \let\enc@update\relax
        \let\cf@encoding\f@encoding
}
\let\enc@update\relax
\DeclareRobustCommand\fontfamily[1]{\edef\f@family{#1}}
\DeclareRobustCommand\fontseries[1]{\edef\f@series{#1}}
\DeclareRobustCommand\fontshape [1]{\edef\f@shape{#1}}
\def\usefont#1#2#3#4{\fontencoding{#1}\fontfamily{#2}%
             \fontseries{#3}\fontshape{#4}\selectfont
             \ignorespaces}
\DeclareRobustCommand\linespread[1]
   {\set@fontsize{#1}\f@size\f@baselineskip}
\DeclareRobustCommand\fontsize[2]
   {\set@fontsize\baselinestretch{#1}{#2}}
\let\f@family\@empty
\let\f@series\@empty
\let\f@shape\@empty
\let\f@size\@empty
\let\f@baselineskip\@empty
\let\f@linespread\@empty
\let\f@encoding\@empty
\let\cf@encoding\@empty
\def\@defaultunits{\afterassignment\remove@to@nnil}
\begingroup
  \catcode`P=12
  \catcode`T=12
  \lowercase{
    \def\x{\def\rem@pt##1.##2PT{##1\ifnum##2>\z@.##2\fi}}}
  \expandafter\endgroup\x
\def\strip@pt{\expandafter\rem@pt\the}
\DeclareRobustCommand\mathversion[1]
         {\@nomath\mathversion
          \expandafter\ifx\csname mv@#1\endcsname\relax
          \@latex@error{Math version `#1' is not defined}\@eha\else
          \edef\math@version{#1}%
          \gdef\glb@currsize{}%
          \aftergroup\glb@settings
          \fi}
\let\frozen@everymath\everymath
\let\frozen@everydisplay\everydisplay
\newtoks\everymath
\newtoks\everydisplay
\frozen@everymath = {\check@mathfonts
                     \the\everymath}
\frozen@everydisplay = {\check@mathfonts
                        \the\everydisplay}
\let\curr@math@size\@empty
\def\pickup@font{%
    \expandafter \ifx \font@name \relax
       \define@newfont
    \fi}
{\catcode`\/=12
\gdef\split@name#1/#2/#3/#4/#5\@nil{\def\f@encoding{#1}%
                                    \def\f@family{#2}%
                                    \def\f@series{#3}%
                                    \def\f@shape{#4}%
                                    \def\f@size{#5}}}
\def\curr@fontshape{\f@encoding/\f@family/\f@series/\f@shape}
\def\define@newfont{%
  \begingroup
    \let\typeout\@font@info
    \escapechar\m@ne
    \expandafter\expandafter\expandafter
       \split@name\expandafter\string\font@name\@nil
      \try@load@fontshape % try always
    \expandafter\ifx
       \csname\curr@fontshape\endcsname \relax
      \wrong@fontshape\else
      \extract@font\fi
  \endgroup}
\def\try@load@fontshape{%
   \expandafter
   \ifx\csname \f@encoding+\f@family\endcsname\relax
     \@font@info{Try loading font information for
                   \f@encoding+\f@family}%
    \global\expandafter\let
       \csname\f@encoding+\f@family\endcsname\@empty
     \nfss@catcodes
     \let\nfss@catcodes\relax
     \edef\reserved@a{%
       \lowercase{%
         \noexpand\InputIfFileExists{\f@encoding\f@family.fd}}}%
     \reserved@a\relax
          {\@input@{\f@encoding\f@family.fd}}%
   \fi}
\def\nfss@catcodes{%
     \makeatletter
     \catcode`\ 9%
     \catcode`\^^I9%
     \catcode`\^^M9%
     \catcode`\\\z@
     \catcode`\{\@ne
     \catcode`\}\tw@
     \catcode`\#6%
     \catcode`\^7%
     \catcode`\%14%
   \@makeother\<%
   \@makeother\>%
   \@makeother\*%
   \@makeother\.%
   \@makeother\-%
   \@makeother\/%
   \@makeother\[%
   \@makeother\]%
   \@makeother\`%
   \@makeother\'%
   \@makeother\"%
}
\def\DeclareErrorFont#1#2#3#4#5{%
      \xdef\error@fontshape{%
          \noexpand\expandafter\noexpand\split@name\noexpand\string
          \expandafter\noexpand\csname#1/#2/#3/#4/#5\endcsname
          \noexpand\@nil}%
      \gdef\default@family{#2}%
      \gdef\default@series{#3}%
      \gdef\default@shape{#4}%
      \global\let\f@family\default@family
      \global\let\f@series\default@series
      \global\let\f@shape\default@shape
      \gdef\f@size{#5}%
      \gdef\f@baselineskip{#5pt}%
}
\@onlypreamble\DeclareErrorFont
\def\wrong@fontshape{%
    \csname D@\f@encoding\endcsname      % install defaults if in math
    \edef\reserved@a{\csname\curr@fontshape\endcsname}%
  \ifx\last@fontshape\reserved@a
     \errmessage{Corrupted NFSS tables}%
     \error@fontshape
  \else
    \let\f@shape\default@shape
    \expandafter\ifx\csname\curr@fontshape\endcsname\relax
       \let\f@series\default@series
        \expandafter
          \ifx\csname\curr@fontshape\endcsname\relax
           \let\f@family\default@family
        \fi \fi
  \fi
     \@font@warning{Font shape `\expandafter\string\reserved@a'
                     \expandafter\@gobble\string\@undefined\MessageBreak
                   using `\curr@fontshape' instead\@wrong@font@char}%
    \global\let\last@fontshape\reserved@a
    \gdef\@defaultsubs{%
      \@font@warning{Some font shapes were not available, defaults
                      substituted.\@gobbletwo}}%
    \global\expandafter\expandafter\expandafter\let
       \expandafter\reserved@a
           \csname\curr@fontshape\endcsname
    \xdef\font@name{%
      \csname\curr@fontshape/\f@size\endcsname}%
    \pickup@font}
\let\@wrong@font@char\@empty
\let\@defaultsubs\relax
\def\strip@prefix#1>{}
\let\install@mathalphabet\gdef
\let\math@fonts\@empty
\def\extract@alph@from@version#1#2#3{%
     \def\reserved@a##1\install@mathalphabet#3##2##3\@nil{%
         \def\reserved@b{##2}%
         \def\reserved@c####1{\gdef#1{##1####1##3}}}%
     \expandafter\reserved@a#1\@nil
     \def\reserved@a\select@group#3##1##2\@nil{%
        \reserved@c{%
           \getanddefine@fonts{#2}##2%
           \install@mathalphabet#3{%
              \relax\ifmmode \else \non@alpherr#3\fi
              \use@mathgroup##1{#2}}}%
       \gdef#3{\relax\ifmmode \else \non@alpherr#3\fi
               \use@mathgroup##1{#2}}}%
     \expandafter\reserved@a\reserved@b\@nil
     }
\let\math@bgroup\bgroup
\def\math@egroup#1{#1\egroup}
\gdef\calculate@math@sizes{%
  \@font@info{Calculating\space math\space sizes\space for\space
              size\space <\f@size>}%
  \dimen@\f@size \p@
  \@tempdimb \defaultscriptratio \dimen@
  \dimen@ \defaultscriptscriptratio \dimen@
  \expandafter\xdef\csname S@\f@size\endcsname{%
    \gdef\noexpand\tf@size{\f@size}%
    \gdef\noexpand\sf@size{\strip@pt\@tempdimb}%
    \gdef\noexpand\ssf@size{\strip@pt\dimen@}%
    \noexpand\math@fontstrue}}
\def\defaultscriptratio{.7}
\def\defaultscriptscriptratio{.5}
\ifx\noaccents@\@undefined
  \let\noaccents@\@empty
\fi
\gdef\showhyphens#1{%
  \setbox0\vbox{%
    \color@begingroup
    \everypar{}%
    \parfillskip\z@skip\hsize\maxdimen
    \normalfont
    \pretolerance\m@ne\tolerance\m@ne\hbadness\z@\showboxdepth\z@\ #1%
    \color@endgroup}}
\long\def\addto@hook#1#2{#1\expandafter{\the#1#2}}
 \def\@vpt{5}
 \def\@vipt{6}
 \def\@viipt{7}
 \def\@viiipt{8}
 \def\@ixpt{9}
 \def\@xpt{10}
 \def\@xipt{10.95}
 \def\@xiipt{12}
 \def\@xivpt{14.4}
 \def\@xviipt{17.28}
 \def\@xxpt{20.74}
 \def\@xxvpt{24.88}
%%% From File: ltfsstrc.dtx
%% Copyright (C) 1989-97 by Frank Mittelbach and Rainer Sch\"opf.
%% Copyright (C) 1994-97 by LaTeX3 project. All rights reserved.
\def\tracingfonts{%
  \@font@warning{Command \noexpand\tracingfonts
           not provided.\MessageBreak
           Use the `tracefnt' package.\MessageBreak Command found:}%
       \count@}
\def\@font@info#1{%
         \GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
                     {LaTeX Font Info: \space\space\space#1}}%
\def\@font@warning#1{%
         \GenericWarning{(Font)\@spaces\@spaces\@spaces\space\space}%
                        {LaTeX Font Warning: #1}}%
\def\extract@font{%
   \get@external@font
   \global\expandafter\font\font@name\external@font\relax
    \font@name \relax
    \csname \f@encoding+\f@family\endcsname
    \csname\curr@fontshape\endcsname
    \relax
       }
\def\get@external@font{%
   \let\external@font\@empty
   \edef\font@info{\expandafter\expandafter\expandafter\string
        \csname \curr@fontshape \endcsname}%
   \try@size@range
   \ifx\external@font\@empty
      \try@size@substitution
      \ifx\external@font\@empty
         \@latex@error{Font \expandafter \string\font@name\space
                     not found}\@eha
         \error@fontshape
         \get@external@font
   \fi\fi
}
\DeclareRobustCommand\selectfont
        {%
    \ifx\f@linespread\baselinestretch \else
      \set@fontsize\baselinestretch\f@size\f@baselineskip \fi
    \xdef\font@name{%
      \csname\curr@fontshape/\f@size\endcsname}%
    \pickup@font
    \font@name
    \size@update
    \enc@update
    }
\def\set@fontsize#1#2#3{%
    \@defaultunits\@tempdimb#2pt\relax\@nnil
    \edef\f@size{\strip@pt\@tempdimb}%
    \@defaultunits\@tempskipa#3pt\relax\@nnil
    \edef\f@baselineskip{\the\@tempskipa}%
    \edef\f@linespread{#1}%
    \let\baselinestretch\f@linespread
      \def\size@update{%
        \baselineskip\f@baselineskip\relax
        \baselineskip\f@linespread\baselineskip
        \normalbaselineskip\baselineskip
        \setbox\strutbox\hbox{%
          \vrule\@height.7\baselineskip
                \@depth.3\baselineskip
                \@width\z@}%
        \let\size@update\relax}%
  }
\let\size@update\relax
\def\glb@settings{%
     \expandafter\ifx\csname S@\f@size\endcsname\relax
       \calculate@math@sizes
     \fi
     \csname S@\f@size\endcsname
     \ifmath@fonts
       \begingroup
         \escapechar\m@ne
         \csname mv@\math@version \endcsname
         \globaldefs\@ne
         \math@fonts
         \let \glb@currsize \f@size
       \endgroup
        \the\every@math@size
     \fi
}
\def\baselinestretch{1}
\newtoks\every@math@size
\every@math@size={}
\def\check@mathfonts{%
  \ifx \glb@currsize \f@size
  \else
     \glb@settings
     \init@restore@glb@settings
  \fi
  \let\curr@math@size\f@size
  \def\init@restore@glb@settings{\aftergroup\restglb@settings}%
}
\let\init@restore@glb@settings\relax
\def\restglb@settings{%
      \begingroup
        \let\f@size\curr@math@size
        \ifx\glb@currsize \f@size
        \else
          \glb@settings
        \fi
      \endgroup
}
\def\use@mathgroup#1#2{\relax\ifmmode
     \math@bgroup
         \expandafter\ifx\csname M@\f@encoding\endcsname#1\else
         #1\fi
         \mathgroup#2\relax
     \expandafter\math@egroup\fi}%
\def\getanddefine@fonts#1#2{%
  \xdef\font@name{\csname \string#2/\tf@size\endcsname}%
  \pickup@font \let\textfont@name\font@name
  \xdef\font@name{\csname \string#2/\sf@size\endcsname}%
  \pickup@font \let\scriptfont@name\font@name
  \xdef\font@name{\csname \string#2/\ssf@size\endcsname}%
  \pickup@font
  \edef\math@fonts{\math@fonts
               \textfont#1\textfont@name
               \scriptfont#1\scriptfont@name
               \scriptscriptfont#1\font@name}%
    }
\def\ifnot@nil#1{\def\reserved@a{#1}%
  \ifx\reserved@a\@nnil \expandafter\@gobble
  \else \expandafter\@firstofone\fi}
\def\remove@to@nnil#1\@nnil{}
\def\remove@angles#1>{\set@simple@size@args}
\def\remove@star#1*{#1}
\def\extract@sizefn#1*#2\@nil{%
  \if>#2>\set@size@funct@args#1\@nil
         \let\sizefn@info\@empty
  \else\expandafter\set@size@funct@args\remove@star#2\@nil
       \def\sizefn@info{#1}\fi
  }
\def\try@simple@size{%
    \def\reserved@a{\def\extract@fontinfo####1}%
    \expandafter\reserved@a\expandafter<\f@size>##2<##3\@nnil{%
          \ifnot@nil{##2}%
            {\set@simple@size@args##2<##3\@nnil
             \execute@size@function\sizefn@info
            }}%
    \expandafter\expandafter
    \expandafter\extract@fontinfo\expandafter\font@info
    \expandafter<\f@size>\@nil<\@nnil
}
\def\set@simple@size@args#1<{%
          \if<#1<%
            \expandafter\remove@angles
          \else
            \extract@sizefn#1*\@nil
            \expandafter\remove@to@nnil
          \fi}
\def\extract@rangefontinfo#1<#2>{%
       \is@range#2->\@nil#2>}
\def\is@range#1-#2\@nil{%
   \if>#2\expandafter\check@single\else
      \expandafter\check@range\fi}
\def\check@range#1-#2>#3<#4\@nnil{%
  \ifnot@nil{#3}{%
     \def\reserved@f{\extract@rangefontinfo<#4\@nnil}%
     \upper@bound0#2\p@
     \ifdim\upper@bound=\z@ \upper@bound\maxdimen\fi
     \ifdim \f@size \p@<\upper@bound
       \lower@bound0#1\p@
       \ifdim \f@size \p@<\lower@bound
        \else
          \set@simple@size@args#3<#4\@nnil
          \execute@size@function\sizefn@info
         \ifx\external@font\@empty
         \else
           \let\reserved@f\@empty
         \fi
       \fi
     \fi
     \reserved@f}}
\newdimen\lower@bound
\newdimen\upper@bound
\def\check@single#1>#2<#3\@nnil{%
     \def\reserved@f{\extract@rangefontinfo<#3\@nnil}%
     \ifdim \f@size \p@=#1\p@
        \set@simple@size@args#2<#3\@nnil
        \execute@size@function\sizefn@info
        \ifx\external@font\@empty
        \else
          \let\reserved@f\@empty
        \fi
     \fi
     \reserved@f}
\def\set@size@funct@args{\@ifnextchar[%
  \set@size@funct@args@{\set@size@funct@args@[]}}
\def\set@size@funct@args@[#1]#2\@nil{%
  \def\mandatory@arg{#2}%
  \def\optional@arg{#1}}
\def\DeclareSizeFunction#1#2{\@namedef{s@fct@#1}{#2}}
\@onlypreamble\DeclareSizeFunction
\def\execute@size@function#1{%    %%% could be added to autoload as well
      \csname s@fct@#1\endcsname
}
\def\try@size@range{%
    \expandafter\extract@rangefontinfo\font@info <-*>\@nil<\@nnil
}
\gdef\try@size@substitution{%
  \@tempdimb \maxdimen
  \let \best@size \@empty
  \expandafter \try@simples \font@info <\number\@M>\@nil<\@nnil
}
\def\font@submax{0pt}
\def\fontsubfuzz{.4pt}
\gdef\try@simples#1<#2>{%
  \tryif@simple#2->\tryif@simple}
\gdef\tryif@simple#1-#2\tryif@simple{%
  \let \reserved@f \try@simples
  \if>#2%
    \dimen@ #1\p@
    \ifdim \dimen@<\@M\p@
      \ifdim \f@size\p@<\dimen@
        \@tempdimc \dimen@
        \advance\@tempdimc -\f@size\p@
      \else
        \@tempdimc \f@size\p@
        \advance\@tempdimc -\dimen@
      \fi
      \ifdim \@tempdimc<\@tempdimb
        \@tempdimb \@tempdimc
        \def \best@size{#1}%
      \fi
    \else
  \ifx \external@font\@empty
    \ifx \best@size\@empty
    \else
      \ifdim \@tempdimb>\font@submax \relax
        \xdef \font@submax {\the\@tempdimb}%
      \fi
      \let \f@user@size \f@size
      \let \f@size \best@size
      \ifdim \@tempdimb>\fontsubfuzz\relax
        \@font@warning{Font\space shape\space
            `\curr@fontshape'\space in\space size\space
             <\f@user@size>\space not\space available\MessageBreak
             size\space <\f@size>\space substituted}%
      \fi
      \try@simple@size
      \do@subst@correction
    \fi
 \fi
      \let \reserved@f \remove@to@nnil
    \fi
  \fi
  \reserved@f}
\DeclareSizeFunction{}{\empty@sfcnt\@font@warning}
\DeclareSizeFunction{s}{\empty@sfcnt\@font@info}
\def\empty@sfcnt#1{%
      \@tempdimb \f@size\p@
      \ifx\optional@arg\@empty
      \else
        \@tempdimb \optional@arg\@tempdimb
        #1{Font\space shape\space `\curr@fontshape'\space
           will\space be\MessageBreak
           scaled\space to\space size\space \the\@tempdimb}%
      \fi
      \edef\external@font{\mandatory@arg\space at\the\@tempdimb}}
\DeclareSizeFunction{gen}{\gen@sfcnt\@font@warning}
\DeclareSizeFunction{sgen}{\gen@sfcnt\@font@info}
\def\gen@sfcnt{%
      \edef\mandatory@arg{\mandatory@arg\f@size}%
      \empty@sfcnt}
\DeclareSizeFunction{genb}{\genb@sfcnt\@font@warning}
\DeclareSizeFunction{sgenb}{\genb@sfcnt\@font@info}
\def\genb@sfcnt{%
    \edef\mandatory@arg{\mandatory@arg\expandafter\genb@x\f@size..\@@}%
    \empty@sfcnt}
\def\genb@x#1.#2.#3\@@{\two@digits{#1}\genb@y#200\@@}
\def\genb@y#1#2#3\@@{#1#2}
\DeclareSizeFunction{sub}{\sub@sfcnt\@font@warning}
\DeclareSizeFunction{ssub}{\sub@sfcnt\@font@info}
\def\sub@sfcnt#1{%
    \edef\mandatory@arg{\f@encoding/\mandatory@arg}%
    \begingroup
     \expandafter\split@name\mandatory@arg/\@nil
     \try@load@fontshape
    \endgroup
    \let\f@user@size\f@size
    \expandafter
    \ifx\csname\mandatory@arg\endcsname\relax
      \errmessage{No\space declaration\space for\space
                  shape\space \mandatory@arg}%
      \error@fontshape
    \else
      #1{Font\space shape\space `\curr@fontshape'\space in\space
         size\space <\f@size>\space not\space available\MessageBreak
         Font\space shape\space `\mandatory@arg'\space tried\space
         instead}%
      \expandafter\split@name\mandatory@arg/\@nil
    \fi
    \edef\f@size{\f@user@size}%
    \get@external@font
    \do@subst@correction
}
\DeclareSizeFunction{subf}{\subf@sfcnt\@font@warning}
\DeclareSizeFunction{ssubf}{\subf@sfcnt\@font@info}
\def\subf@sfcnt#1{%
      #1{Font\space shape\space `\curr@fontshape'\space in\space
         size\space \f@size\space not\space available\MessageBreak
        external\space font\space `\mandatory@arg'\space used}%
      \empty@sfcnt#1%
      }
\DeclareSizeFunction{fixed}{\fixed@sfcnt\@font@warning}
\DeclareSizeFunction{sfixed}{\fixed@sfcnt\@font@info}
\def\fixed@sfcnt#1{%
  \ifx\optional@arg\@empty
    \let\external@font\mandatory@arg
  \else
    \edef\external@font{\mandatory@arg\space at\optional@arg pt}%
  \fi
  #1{External\space font\space `\external@font'\space loaded\space
     for\space size\MessageBreak
     <\f@size>}%
}
%%% From File: ltfsscmp.dtx
%% Copyright (C) 1989-1995 Frank Mittelbach and Rainer Sch\"opf,
%% all rights reserved.
\gdef\new@fontshape#1#2#3#4{%
     \warn@rel@i\new@fontshape\DeclareFontShape
     \expandafter\scan@fontshape\@gobble#4<\@nil><<%
     \DeclareFontShape U{#1}{#2}{#3}\reserved@f}
\@onlypreamble\new@fontshape
\gdef\warn@rel@i#1#2{%
 \@font@warning{***  NFSS release 1 command
               \noexpand#1found\MessageBreak
   ***  Update by using release 2 command
        \string#2.\MessageBreak
   ***  Recovery is probably possible}%
}
\@onlypreamble\warn@rel@i
\gdef\scan@fontshape{%
  \let\reserved@f\@empty
  \let\reserved@e\@empty %        holds last info
  \scan@@fontshape
}
\@onlypreamble\scan@fontshape
\gdef\scan@@fontshape#1>#2#3<{%
  \ifx\@nil#1%
    \edef\reserved@f{\reserved@f\reserved@e}%
  \else
    \def\reserved@b{#1}%       nick names
    \def\reserved@c{#3}%
    \in@{ at}{#3}%
    \ifin@
      \in@{pt}{#3}%  not a proof but a good chance
      \ifin@
        \def\reserved@a##1 at##2pt##3\@nil{%
           \def\reserved@b{##2}%
           \def\reserved@c{##1}%
           }%
        \reserved@a#3\@nil
      \fi
    \fi
    \ifnum 0<0#2
      \edef\reserved@d{subf*\reserved@c}%
      \ifcase #2\or
      \or
      \else
        \errmessage{*** What's this? NFSS release 0? ***}%
      \fi
    \else
      \edef\reserved@d{#2\reserved@c}%
    \fi
    \ifx\reserved@d\reserved@e
      \edef\reserved@f{\reserved@f<\reserved@b>}%
    \else
      \edef\reserved@f{\reserved@f\reserved@e<\reserved@b>}%add old info
      \let\reserved@e\reserved@d
    \fi
    \expandafter\scan@@fontshape
  \fi
}
\@onlypreamble\scan@@fontshape
\gdef\subst@fontshape#1#2#3#4#5#6{%
     \warn@rel@i\subst@fontshape\DeclareFontShape
     \DeclareFontShape{U}{#1}{#2}{#3}{<->sub*#4/#5/#6}{}}
\@onlypreamble\subst@fontshape
\gdef\extra@def#1#2#3{%
     \warn@rel@i\extra@def\DeclareFontFamily
     \DeclareFontFamily{U}{#1}{}%
}
\@onlypreamble\extra@def
\gdef\default@mextra{%
  \warn@rel@i\default@mextra\DeclareFontEncodingDefaults
  \DeclareFontEncodingDefaults\relax
}
\@onlypreamble\default@mextra
\gdef\preload@sizes{%
     \warn@rel@i\preload@sizes\DeclarePreloadSizes
     \DeclarePreloadSizes U%
}
\@onlypreamble\preload@sizes
\gdef\err@rel@i#1#2{%
  \@latex@error{***  NFSS release 1 command \noexpand#1found%
          ^^J***  Recovery not possible. Use \string#2}%
       {The new release of NFSS doesn't support the
        \noexpand#1command^^Jany longer.
        Please upgrade your file to the syntax of NFSS
        release 2^^Jusing the \noexpand#2command.}%
  \batchmode\input.\relax
}
\@onlypreamble\err@rel@i
\gdef\newmathalphabet{%
  \if@no@font@opt
    \@latex@error{*** NFSS release 1 command
                    \noexpand\newmathalphabet found%
     ^^J \space*** Automatic recovery not possible.%
     ^^J \space*** TYPE H for Help%
              }%
       {Please look at the file usrguide.tex for hints on
        how to resolve this problem.}%
  \else
     \warn@rel@i\newmathalphabet\DeclareMathAlphabet
  \fi
  \@ifstar\newmathalphabet@@@
          \newmathalphabet@@}
\gdef\newmathalphabet@@#1{\DeclareMathAlphabet#1{U}{}{}{}}
\gdef\newmathalphabet@@@#1#2#3#4{%
       \DeclareMathAlphabet{#1}{U}{#2}{#3}{#4}}
\@onlypreamble\newmathalphabet
\@onlypreamble\newmathalphabet@@
\@onlypreamble\newmathalphabet@@@
\global\let\if@no@font@opt\iftrue
\gdef\@no@font@optfalse{\let\if@no@font@opt\iffalse}
\gdef\define@mathalphabet{%
      \err@rel@i\define@mathalphabet\DeclareMathAlphabet
}
\@onlypreamble\define@mathalphabet
\gdef\define@mathgroup{%
      \err@rel@i\define@mathgroup\DeclareSymbolFont
}
\@onlypreamble\define@mathgroup
\def\addtoversion#1#2{%
  \warn@rel@i\addtoversion\SetMathAlphabet
  \SetMathAlphabet#2{#1}{U}}
\@onlypreamble\addtoversion
%%% From File: ltfssdcl.dtx
%% Copyright (C) 1989-1998 Frank Mittelbach and Rainer Sch\"opf,
%% all rights reserved.
\def\in@#1#2{%
 \def\in@@##1#1##2##3\in@@{%
  \ifx\in@##2\in@false\else\in@true\fi}%
 \in@@#2#1\in@\in@@}
\newif\ifin@
\let\version@list=\@empty
\@onlypreamble\version@list
\let\version@elt\relax
\@onlypreamble\version@elt
\let\alpha@list\@empty
\@onlypreamble\alpha@list
\let\alpha@elt\relax
\@onlypreamble\alpha@elt
\count18=-1
\def\select@group#1#2#3#4{%
 \ifx\math@bgroup\bgroup\else\relax\expandafter\@firstofone\fi
 {%
 \ifmmode
  \ifnum\csname c@mv@\math@version\endcsname<\sixt@@n
     \begingroup
       \escapechar\m@ne
       \getanddefine@fonts{\csname c@mv@\math@version\endcsname}#3%
       \globaldefs\@ne  \math@fonts
     \endgroup
     \init@restore@version
     \xdef#1{\noexpand\use@mathgroup\noexpand#2%
             {\number\csname c@mv@\math@version\endcsname}}%
     \global\advance\csname c@mv@\math@version\endcsname\@ne
   \else
     \let#1\relax
     \@latex@error{Too many math alphabets used in
                   version \math@version}%
        \@eha
   \fi
 \else \expandafter\non@alpherr\fi
 #1{#4}%
 }%
}
\@onlypreamble\restore@mathversion
\def\init@restore@version{%
        \global\let\init@restore@version\relax
        \xdef\restore@mathversion
             {\expandafter\noexpand\csname mv@\math@version\endcsname
              \global\csname c@mv@\math@version\endcsname
              \number\csname c@mv@\math@version\endcsname\relax}%
        \aftergroup\dorestore@version
}
\@onlypreamble\init@restore@version
\gdef\non@alpherr#1{\@latex@error{%
    \string#1allowed only in math mode}\@ehd}
\def\dorestore@version
 {\ifmmode
    \aftergroup\dorestore@version
  \else
    \gdef\init@restore@version{%
        \global\let\init@restore@version\relax
        \xdef\restore@mathversion
             {\expandafter\noexpand\csname mv@\math@version\endcsname
              \global\csname c@mv@\math@version\endcsname
              \number\csname c@mv@\math@version\endcsname\relax}%
        \aftergroup\dorestore@version
    }%
    \begingroup
      \let\getanddefine@fonts\@gobbletwo
      \restore@mathversion
    \endgroup
  \fi}%
\@onlypreamble\dorestore@version
\def\document@select@group#1#2#3#4{%
 \ifx\math@bgroup\bgroup\else\relax\expandafter\@firstofone\fi
 {%
 \ifmmode
   \ifnum\csname c@mv@\math@version\endcsname<\sixt@@n
     \begingroup
       \escapechar\m@ne
       \getanddefine@fonts{\csname c@mv@\math@version\endcsname}#3%
       \globaldefs\@ne  \math@fonts
     \endgroup
     \expandafter\extract@alph@from@version
         \csname mv@\math@version\expandafter\endcsname
         \expandafter{\number\csname
                       c@mv@\math@version\endcsname}%
          #1%
     \global\advance\csname c@mv@\math@version\endcsname\@ne
   \else
     \let#1\relax
     \@latex@error{Too many math alphabets used
                   in version \math@version}%
        \@eha
  \fi
 \else \expandafter\non@alpherr\fi
 #1{#4}%
 }%
}
\def\process@table{%
    \def\cdp@elt##1##2##3##4{%
        \@font@info{Checking defaults for
                  ##1/##2/##3/##4}%
        \expandafter
        \ifx\csname##1/##2/##3/##4\endcsname\relax
          \begingroup
           \def\f@encoding{##1}\def\f@family{##2}%
           \try@load@fontshape
          \endgroup
        \fi
        \expandafter
        \ifx\csname##1/##2/##3/##4\endcsname\relax
             \@latex@error{This NFSS system isn't set up properly}%
                       {For encoding scheme ##1 the defaults
                        ##2/##3/##4 do not form a valid font shape}%
        \else
             \@font@info{... okay}%
        \fi}%
    \cdp@list
    \begingroup
       \escapechar\m@ne
       \error@fontshape
       \expandafter\ifx\csname \curr@fontshape\endcsname\relax
          \begingroup
            \try@load@fontshape
           \endgroup
       \fi
       \expandafter\ifx\csname \curr@fontshape\endcsname\relax
         \@latex@error{This NFSS system isn't set up properly}%
            {The system maintainer forgot to specify a suitable
             substitution
             font shape using the \noexpand\DeclareErrorFont
             command}%
       \fi
    \endgroup
    \let\select@group\document@select@group
    \fontencoding{\encodingdefault}%
    \fontfamily{\familydefault}%
    \fontseries{\seriesdefault}%
    \fontshape{\shapedefault}%
 \everyjob{}%
}
\@onlypreamble\process@table
\def\DeclareMathVersion#1{%
  \expandafter\new@mathversion\csname mv@#1\endcsname}
\@onlypreamble\DeclareMathVersion
\def\new@mathversion#1{%
  \expandafter\in@\expandafter#1\expandafter{\version@list}%
  \ifin@
    \@font@info{Redeclaring math version
               `\expandafter\@gobblefour\string#1'}%
  \else
    \global\expandafter\newcount\csname c@\expandafter
                                \@gobble\string#1\endcsname
    \def\version@elt{\noexpand\version@elt\noexpand}%
    \edef\version@list{\version@list\version@elt#1}%
  \fi
  \toks@{}%
  \count@\z@
  \def\group@elt##1##2{%
       \advance\count@\@ne
       \addto@hook\toks@{\getanddefine@fonts##1##2}%
       }%
  \group@list
  \global\csname c@\expandafter\@gobble\string#1\endcsname\count@
  \def\alpha@elt##1##2##3{%
       \ifx##2\no@alphabet@error
         \toks@\expandafter{\the\toks@\install@mathalphabet##1%
             {\no@alphabet@error##1}}%
       \else
         \toks@\expandafter{\the\toks@\install@mathalphabet##1%
             {\select@group##1##2##3}}%
       \fi
          }%
  \alpha@list
  \xdef#1{\the\toks@}%
}
\@onlypreamble\new@mathversion
\def\DeclareSymbolFont#1#2#3#4#5{%
 \@tempswafalse
 \edef\reserved@b{#2}%
 \def\cdp@elt##1##2##3##4{\def\reserved@c{##1}%
      \ifx\reserved@b\reserved@c \@tempswatrue\fi}%
 \cdp@list
 \if@tempswa
   \@ifundefined{sym#1}{%
      \expandafter\new@mathgroup\csname sym#1\endcsname
      \expandafter\new@symbolfont\csname sym#1\endcsname
                        {#2}{#3}{#4}{#5}}%
     {%
      \@font@info{Redeclaring symbol font `#1'}%
      \def\group@elt##1##2{%
           \noexpand\group@elt\noexpand##1%
           \expandafter\ifx\csname sym#1\endcsname##1%
             \expandafter\noexpand\csname#2/#3/#4/#5\endcsname
           \else
               \noexpand##2%
           \fi}%
      \xdef\group@list{\group@list}%
      \def\version@elt##1{%
          \expandafter
          \SetSymbolFont@\expandafter##1\csname#2/#3/#4/#5\expandafter
              \endcsname \csname sym#1\endcsname
          }%
      \version@list
     }%
  \else
    \@latex@error{Encoding scheme  `#2' unknown}\@eha
  \fi
  }
\@onlypreamble\DeclareSymbolFont
\let\group@list\@empty
\@onlypreamble\group@list
\let\group@elt\relax
\@onlypreamble\group@elt
\def\new@symbolfont#1#2#3#4#5{%
    \toks@\expandafter{\group@list}%
    \edef\group@list{\the\toks@\noexpand\group@elt\noexpand#1%
                     \expandafter\noexpand\csname#2/#3/#4/#5\endcsname}%
    \def\version@elt##1{\toks@\expandafter{##1}%
                   \edef##1{\the\toks@\noexpand\getanddefine@fonts
                   #1\expandafter\noexpand\csname#2/#3/#4/#5\endcsname}%
                  \global\advance\csname c@\expandafter
                                 \@gobble\string##1\endcsname\@ne
                 }%
    \version@list
}
\@onlypreamble\new@symbolfont
\def\SetSymbolFont#1#2#3#4#5#6{%
 \@tempswafalse
 \edef\reserved@b{#3}%
 \def\cdp@elt##1##2##3##4{\def\reserved@c{##1}%
      \ifx\reserved@b\reserved@c \@tempswatrue\fi}%
 \cdp@list
 \if@tempswa
  \expandafter\SetSymbolFont@
    \csname mv@#2\expandafter\endcsname\csname#3/#4/#5/#6\expandafter
    \endcsname \csname sym#1\endcsname
 \else
  \@latex@error{Encoding scheme  `#3' unknown}\@eha
 \fi
}
\@onlypreamble\SetSymbolFont
\def\SetSymbolFont@#1#2#3{%
  \expandafter\in@\expandafter#1\expandafter{\version@list}%
  \ifin@
    \expandafter\in@\expandafter#3\expandafter{\group@list}%
    \ifin@
      \begingroup
        \expandafter\get@cdp\string#2\@nil\reserved@a
        \toks@{}%
        \def\install@mathalphabet##1##2{%
             \addto@hook\toks@{\install@mathalphabet##1{##2}}%
            }%
        \def\getanddefine@fonts##1##2{%
          \ifnum##1=#3%
             \addto@hook\toks@{\getanddefine@fonts#3#2}%
             \expandafter\get@cdp\string##2\@nil\reserved@b
             \ifx\reserved@a\reserved@b\else
                \@font@warning{Encoding `\reserved@b' has changed
                    to `\reserved@a' for symbol font\MessageBreak
                   `\expandafter\@gobblefour\string#3' in the
                    math version `\expandafter
                    \@gobblefour\string#1'}%
             \fi
             \@font@info{%
                Overwriting symbol font
                `\expandafter\@gobblefour\string#3' in
                 version `\expandafter
                \@gobblefour\string#1'\MessageBreak
                \@spaces \expandafter\@gobble\string##2 -->
                         \expandafter\@gobble\string#2}%
          \else
             \addto@hook\toks@{\getanddefine@fonts##1##2}%
          \fi}%
         #1%
         \xdef#1{\the\toks@}%
      \endgroup
    \else
       \@latex@error{Symbol font `\expandafter\@gobblefour\string#3'
                  not defined}\@eha
    \fi
  \else
    \@latex@error{Math version `\expandafter\@gobblefour\string#1'
       is not
       defined}{You probably mispelled the name of the math
       version.^^JOr you have to specify an additional package.}%
  \fi
}
\@onlypreamble\SetSymbolFont@
\def\get@cdp#1#2/#3\@nil#4{\def#4{#2}}
\@onlypreamble\get@cdp
\def\DeclareMathAlphabet#1#2#3#4#5{%
 \@tempswafalse
 \edef\reserved@b{#2}%
 \def\cdp@elt##1##2##3##4{\def\reserved@c{##1}%
      \ifx\reserved@b\reserved@c \@tempswatrue\fi}%
 \cdp@list
 \if@tempswa
   \expandafter\ifx
   \csname\expandafter\@gobble\string#1\endcsname
   \relax
      \new@mathalphabet#1{#2}{#3}{#4}{#5}%
   \else
     \edef\reserved@a{\noexpand\in@{\string\select@group}%
         {\expandafter\meaning\csname \expandafter
          \@gobble\string#1\space\endcsname}}%
     \reserved@a
     \ifin@
       \@font@info{Redeclaring math alphabet \string#1}%
       \def\version@elt##1{%
         \expandafter\SetMathAlphabet@\expandafter
            ##1\csname#2/#3/#4/#5\expandafter\endcsname
            \csname M@#2\expandafter\endcsname
            \csname \expandafter\@gobble\string#1\space\endcsname#1}%
       \version@list
     \else
       \edef\reserved@a{\noexpand\in@{\string\use@mathgroup}%
         {\expandafter\meaning\csname \expandafter
          \@gobble\string#1\space\endcsname}}%
       \reserved@a
       \ifin@
         \@font@info{Redeclaring math alphabet \string#1}%
         \new@mathalphabet#1{#2}{#3}{#4}{#5}%
       \else
         \@latex@error{Command `\string#1' already defined}\@eha
       \fi
     \fi
  \fi
 \else
  \@latex@error{Encoding scheme  `#2' unknown}\@eha
 \fi
  }
\@onlypreamble\DeclareMathAlphabet
\def\new@mathalphabet#1#2#3#4#5{%
    \toks@\expandafter{\alpha@list}%
    \edef#1{\expandafter\noexpand\csname \expandafter
            \@gobble\string#1\space\endcsname
            \if/#5/%
               \noexpand\no@alphabet@error
               \noexpand\no@alphabet@error
            \else
               \expandafter\noexpand\csname M@#2\endcsname
               \expandafter\noexpand\csname#2/#3/#4/#5\endcsname
            \fi
           }%
    \toks2\expandafter{#1}%
    \edef\alpha@list{\the\toks@\noexpand\alpha@elt\the\toks2}%
    \def\version@elt##1{\toks@\expandafter{##1}%
                   \edef##1{\the\toks@\install@mathalphabet
                            \expandafter\noexpand
                            \csname \expandafter\@gobble
                               \string#1\space\endcsname
                           {\if/#5/%
                             \noexpand\no@alphabet@error
                             \noexpand#1%
                            \else
                             \noexpand\select@group\the\toks2
                            \fi}}%
                 }%
    \version@list
    \expandafter\edef\csname \expandafter\@gobble
                \string#1\space\endcsname{\if/#5/%
              \noexpand\no@alphabet@error
              \noexpand#1%
            \else
              \noexpand\select@group\the\toks2
            \fi}%
    \edef#1{\noexpand\protect
            \expandafter\noexpand\csname \expandafter
            \@gobble\string#1\space\endcsname}%
}
\@onlypreamble\new@mathalphabet
\def\SetMathAlphabet#1#2#3#4#5#6{%
 \@tempswafalse
 \edef\reserved@b{#3}%
 \def\cdp@elt##1##2##3##4{\def\reserved@c{##1}%
      \ifx\reserved@b\reserved@c \@tempswatrue\fi}%
 \cdp@list
 \if@tempswa
  \expandafter\SetMathAlphabet@
    \csname mv@#2\expandafter\endcsname\csname#3/#4/#5/#6\expandafter
    \endcsname \csname M@#3\expandafter\endcsname
    \csname \expandafter\@gobble\string#1\space\endcsname#1%
 \else
  \@latex@error{Encoding scheme  `#3' unknown}\@eha
 \fi
}
\@onlypreamble\SetMathAlphabet
\def\SetMathAlphabet@#1#2#3#4#5{%
  \expandafter\in@\expandafter#1\expandafter{\version@list}%
  \ifin@
    \expandafter\in@\expandafter#4\expandafter{\alpha@list}%
    \ifin@
      \begingroup
        \toks@{}%
        \def\getanddefine@fonts##1##2{%
             \addto@hook\toks@{\getanddefine@fonts##1##2}%
            }%
        \def\reserved@c##1##2##3##4{%                % for message below
            \expandafter\@gobble\string##4}%
        \def\install@mathalphabet##1##2{%
          \ifx##1#4%
             \addto@hook\toks@
                {\install@mathalphabet#4{\select@group#4#3#2}}%
             \@font@info{Overwriting math alphabet
                `\string#5' in version `\expandafter
                 \@gobblefour\string#1'\MessageBreak
                 \@spaces \reserved@c##2 -->
                        \expandafter\@gobble\string#2}%
          \else
             \addto@hook\toks@{\install@mathalphabet##1{##2}}%
          \fi
          }%
        #1%
        \xdef#1{\the\toks@}%
      \endgroup
    \else
       \edef\reserved@a{%
         \noexpand\in@{\string\use@mathgroup}{\meaning#4}}%
       \reserved@a
       \ifin@
         \def\reserved@b##1\use@mathgroup##2##3{%
             \def\reserved@b{##3}\def\reserved@c{##2}}%
         \expandafter\reserved@b#4%
         \begingroup
           \def\install@mathalphabet##1##2{%
               \addto@hook\toks@{\install@mathalphabet##1{##2}}%
               }%
            \def\getanddefine@fonts##1##2{%
              \addto@hook\toks@{\getanddefine@fonts##1##2}%
              \ifnum##1=\reserved@b
                 \expandafter
                 \addto@hook\expandafter\toks@
                 \expandafter{\expandafter\install@mathalphabet
                 \expandafter#4\expandafter
                       {\expandafter\select@group\expandafter
                         #4\reserved@c##2}}%
              \fi
                      }%
           \def\version@elt##1{%
               \toks@{}%
               ##1%
               \xdef##1{\the\toks@}%
              }%
           \version@list
         \endgroup
         \expandafter\gdef\expandafter\alpha@list\expandafter
             {\alpha@list
              \alpha@elt #4\no@alphabet@error \no@alphabet@error}%
         \gdef#4{\no@alphabet@error #5}% fake things :-)
         \SetMathAlphabet@{#1}{#2}{#3}#4#5%
       \else
         \@latex@error{Command `\string#5' not defined as a
                       math alphabet}%
            {Use \noexpand\DeclareMathAlphabet to define it.}%
       \fi
    \fi
  \else
    \@latex@error{Math version `\expandafter\@gobblefour\string#1'
       is not
       defined}{You probably mispelled the name of the math
       version.^^JOr you have to specify an additional package.}%
  \fi
}
\@onlypreamble\SetMathAlphabet@
\def\DeclareMathAccent#1#2#3#4{%
  \expandafter\in@\csname sym#3\expandafter\endcsname
     \expandafter{\group@list}%
  \ifin@
    \begingroup
      \count\z@=#4\relax
      \count\tw@\count\z@
      \divide\count\z@\sixt@@n
      \count@\count\z@
      \multiply\count@\sixt@@n
      \advance\count\tw@-\count@
      \if\relax\noexpand#1% is command?
        \edef\reserved@a{\noexpand\in@{\string\mathaccent}{\meaning#1}}%
        \reserved@a
        \ifin@
          \expandafter\set@mathaccent
             \csname sym#3\endcsname#1#2%
             {\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
          \@font@info{Redeclaring math accent \string#1}%
        \else
          \expandafter\ifx
          \csname\expandafter\@gobble\string#1\endcsname
          \relax
            \expandafter\set@mathaccent
               \csname sym#3\endcsname#1#2%
               {\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
          \else
            \@latex@error{Command `\string#1' already defined}\@eha
          \fi
        \fi
      \else
       \@latex@error{Not a command name: `\noexpand#1'}\@eha
      \fi
    \endgroup
  \else
    \@latex@error{Symbol font `#3' is not defined}\@eha
  \fi
}
\@onlypreamble\DeclareMathAccent
\def\set@mathaccent#1#2#3#4{%
  \xdef#2{\mathaccent"\mathchar@type#3\hexnumber@#1#4\relax}}
\@onlypreamble\set@mathaccent
\def\DeclareMathSymbol#1#2#3#4{%
  \expandafter\in@\csname sym#3\expandafter\endcsname
     \expandafter{\group@list}%
  \ifin@
    \begingroup
      \count\z@=#4\relax
      \count\tw@\count\z@
      \divide\count\z@\sixt@@n
      \count@\count\z@
      \multiply\count@\sixt@@n
      \advance\count\tw@-\count@
      \if\relax\noexpand#1% is command?
        \edef\reserved@a{\noexpand\in@{\string\mathchar}{\meaning#1}}%
        \reserved@a
        \ifin@
          \expandafter\set@mathsymbol
             \csname sym#3\endcsname#1#2%
             {\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
          \@font@info{Redeclaring math symbol \string#1}%
        \else
            \expandafter\ifx
            \csname\expandafter\@gobble\string#1\endcsname
            \relax
            \expandafter\set@mathsymbol
               \csname sym#3\endcsname#1#2%
               {\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
          \else
            \@latex@error{Command `\string#1' already defined}\@eha
          \fi
        \fi
      \else
        \expandafter\set@mathchar
          \csname sym#3\endcsname#1#2
          {\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
      \fi
    \endgroup
  \else
    \@latex@error{Symbol font `#3' is not defined}\@eha
  \fi
}
\@onlypreamble\DeclareMathSymbol
\def\set@mathchar#1#2#3#4{%
  \global\mathcode`#2="\mathchar@type#3\hexnumber@#1#4\relax}
\@onlypreamble\set@mathchar
\def\set@mathsymbol#1#2#3#4{%
  \global\mathchardef#2"\mathchar@type#3\hexnumber@#1#4\relax}
\@onlypreamble\set@mathsymbol
\def\DeclareMathDelimiter#1{%
  \if\relax\noexpand#1%
    \expandafter\@DeclareMathDelimiter
  \else
    \expandafter\@xxDeclareMathDelimiter
  \fi
  #1}
\@onlypreamble\DeclareMathDelimiter
\def\@xxDeclareMathDelimiter#1#2#3#4{%
   \begingroup
    \let\mathalpha\mathord
    \ifnum7=\mathchar@type{#2}%
      \endgroup
      \expandafter\@firstofone
    \else
      \endgroup
      \DeclareMathSymbol#1{#2}{#3}{#4}%
      \expandafter\@firstoftwo
    \fi
    {\@xDeclareMathDelimiter#1}{#2}{#3}{#4}}
\@onlypreamble\@xxDeclareMathDelimiter
\def\@DeclareMathDelimiter#1#2#3#4#5#6{%
  \expandafter\in@\csname sym#3\expandafter\endcsname
     \expandafter{\group@list}%
  \ifin@
    \expandafter\in@\csname sym#5\expandafter\endcsname
       \expandafter{\group@list}%
    \ifin@
      \begingroup
        \count\z@=#4\relax
        \count\tw@\count\z@
        \divide\count\z@\sixt@@n
        \count@\count\z@
        \multiply\count@\sixt@@n
        \advance\count\tw@-\count@
        \edef\reserved@c{\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
      %
        \count\z@=#6\relax
        \count\tw@\count\z@
        \divide\count\z@\sixt@@n
        \count@\count\z@
        \multiply\count@\sixt@@n
        \advance\count\tw@-\count@
        \edef\reserved@d{\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
      %
        \edef\reserved@a{\noexpand\in@{\string\delimiter}{\meaning#1}}%
        \reserved@a
        \ifin@
          \expandafter\set@mathdelimiter
             \csname sym#3\expandafter\endcsname
             \csname sym#5\endcsname#1#2%
             \reserved@c\reserved@d
          \@font@info{Redeclaring math delimiter \string#1}%
        \else
            \expandafter\ifx
            \csname\expandafter\@gobble\string#1\endcsname
            \relax
            \expandafter\set@mathdelimiter
              \csname sym#3\expandafter\endcsname
              \csname sym#5\endcsname#1#2%
              \reserved@c\reserved@d
          \else
            \@latex@error{Command `\string#1' already defined}\@eha
          \fi
        \fi
      \endgroup
    \else
      \@latex@error{Symbol font `#5' is not defined}\@eha
    \fi
  \else
    \@latex@error{Symbol font `#3' is not defined}\@eha
  \fi
}
\@onlypreamble\@DeclareMathDelimiter
\def\@xDeclareMathDelimiter#1#2#3#4#5{%
  \expandafter\in@\csname sym#2\expandafter\endcsname
     \expandafter{\group@list}%
  \ifin@
    \expandafter\in@\csname sym#4\expandafter\endcsname
       \expandafter{\group@list}%
    \ifin@
      \begingroup
        \count\z@=#3\relax
        \count\tw@\count\z@
        \divide\count\z@\sixt@@n
        \count@\count\z@
        \multiply\count@\sixt@@n
        \advance\count\tw@-\count@
        \edef\reserved@c{\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
      %
        \count\z@=#5\relax
        \count\tw@\count\z@
        \divide\count\z@\sixt@@n
        \count@\count\z@
        \multiply\count@\sixt@@n
        \advance\count\tw@-\count@
        \edef\reserved@d{\hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
        \expandafter\set@@mathdelimiter
           \csname sym#2\expandafter\endcsname\csname sym#4\endcsname#1%
           \reserved@c\reserved@d
      \endgroup
    \else
      \@latex@error{Symbol font `#4' is not defined}\@eha
    \fi
  \else
    \@latex@error{Symbol font `#2' is not defined}\@eha
  \fi
}
\@onlypreamble\@xDeclareMathDelimiter
\def\set@mathdelimiter#1#2#3#4#5#6{%
  \xdef#3{\delimiter"\mathchar@type#4\hexnumber@#1#5%
                                     \hexnumber@#2#6 }}
\@onlypreamble\set@mathdelimiter
\def\set@@mathdelimiter#1#2#3#4#5{%
  \global\delcode`#3="\hexnumber@#1#4\hexnumber@#2#5\relax}
\@onlypreamble\set@@mathdelimiter
\def\DeclareMathRadical#1#2#3#4#5{%
  \expandafter\ifx
       \csname\expandafter\@gobble\string#1\endcsname
       \relax
     \let#1\radical
  \fi
  \edef\reserved@a{\noexpand\in@{\string\radical}{\meaning#1}}%
  \reserved@a
  \ifin@
    \expandafter\in@\csname sym#2\expandafter\endcsname
       \expandafter{\group@list}%
    \ifin@
      \expandafter\in@\csname sym#4\expandafter\endcsname
         \expandafter{\group@list}%
      \ifin@
        \begingroup
          \count\z@=#3\relax
          \count\tw@\count\z@
          \divide\count\z@\sixt@@n
          \count@\count\z@
          \multiply\count@\sixt@@n
          \advance\count\tw@-\count@
          \edef\reserved@c{%
            \hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
          \count\z@=#5\relax
          \count\tw@\count\z@
          \divide\count\z@\sixt@@n
          \count@\count\z@
          \multiply\count@\sixt@@n
          \advance\count\tw@-\count@
          \edef\reserved@d{%
            \hexnumber@{\count\z@}\hexnumber@{\count\tw@}}%
          \xdef#1{\radical"\expandafter\hexnumber@
                                \csname sym#2\endcsname\reserved@c
                             \expandafter\hexnumber@
                                \csname sym#4\endcsname\reserved@d
                  \relax}%
        \endgroup
      \else
        \@latex@error{Symbol font `#4' is not defined}\@eha
      \fi
    \else
      \@latex@error{Symbol font `#2' is not defined}\@eha
    \fi
  \else
    \@latex@error{Command `\string#1' already defined}\@eha
  \fi
}
\@onlypreamble\DeclareMathRadical
\let\mathalpha\relax
\def\mathchar@type#1{%
  \ifodd 2#11 #1\else             % is this non-negative number?
    \ifx#1\mathord 0\else
     \ifx#1\mathop   1\else
       \ifx#1\mathbin 2\else
         \ifx#1\mathrel 3\else
           \ifx#1\mathopen 4\else
             \ifx#1\mathclose 5\else
               \ifx#1\mathpunct 6\else
                   7%             % anything else is variable ord
               \fi
             \fi
           \fi
         \fi
       \fi
     \fi
    \fi
  \fi}
\@onlypreamble\mathchar@type
\def\DeclareSymbolFontAlphabet#1#2{%
   \expandafter\DeclareSymbolFontAlphabet@
     \csname \expandafter\@gobble\string#1\space\endcsname{#2}#1}
\@onlypreamble\DeclareSymbolFontAlphabet
\def\DeclareSymbolFontAlphabet@#1#2#3{%
    \@tempswatrue
  \expandafter\in@\csname sym#2\expandafter\endcsname
     \expandafter{\group@list}%
  \ifin@
    \expandafter\in@\expandafter#1\expandafter{\alpha@list}%
    \ifin@
      \@font@info{Redeclaring math alphabet \string#3}%
      \toks@{}%
      \def\alpha@elt##1##2##3{%
          \ifx##1#1\else\addto@hook\toks@{\alpha@elt##1##2##3}\fi}%
      \alpha@list
      \xdef\alpha@list{\the\toks@}%
      \def\version@elt##1{%
          \begingroup
            \toks@{}%
            \def\getanddefine@fonts####1####2{%
               \addto@hook\toks@{\getanddefine@fonts####1####2}}%
            \def\install@mathalphabet####1####2{%
               \ifx####1#1\else
                 \addto@hook\toks@{\install@mathalphabet
                                    ####1{####2}}\fi}%
            ##1%
            \xdef##1{\the\toks@}%
          \endgroup
          }%
      \version@list
    \else
      \expandafter\ifx
      \csname\expandafter\@gobble\string#1\space\endcsname
      \relax
      \else
        \edef\reserved@a{%
          \noexpand\in@{\string\use@mathgroup}{\meaning#1}}%
        \reserved@a
        \ifin@
          \@font@info{Redeclaring math alphabet \string#3}%
        \else
          \@tempswafalse
          \@latex@error{Command `\string#3' already defined}\@eha
        \fi
      \fi
    \fi
   \else
     \@tempswafalse
     \@latex@error{Unknown symbol font `#2'}\@eha
   \fi
   \if@tempswa
     \def\group@elt##1##2{%
        \expandafter\ifx\csname sym#2\endcsname##1%
        \expandafter\reserved@a\string##2\@nil
        \fi}%
     \def\reserved@a##1##2/##3\@nil{%
        \def\reserved@a{##2}}%
     \group@list
     \toks@{\relax\ifmmode \else \non@alpherr#1\fi}%
     \edef#1{\the\toks@
             \noexpand\use@mathgroup
             \expandafter\noexpand\csname M@\reserved@a\endcsname
             \csname sym#2\endcsname}%
     \def#3{\protect#1}%
   \fi
}
\@onlypreamble\DeclareSymbolFontAlphabet@
%%% From File: ltfssini.dtx
%% Copyright (C) 1989-2001 Frank Mittelbach and Rainer Sch\"opf,
%% all rights reserved.
\DeclareMathVersion{normal}
\DeclareMathVersion{bold}
\DeclareRobustCommand\rmfamily
        {\not@math@alphabet\rmfamily\mathrm
         \fontfamily\rmdefault\selectfont}
\DeclareRobustCommand\sffamily
        {\not@math@alphabet\sffamily\mathsf
         \fontfamily\sfdefault\selectfont}
\DeclareRobustCommand\ttfamily
        {\not@math@alphabet\ttfamily\mathtt
         \fontfamily\ttdefault\selectfont}
\DeclareRobustCommand\bfseries
        {\not@math@alphabet\bfseries\mathbf
         \fontseries\bfdefault\selectfont}
\DeclareRobustCommand\mdseries
        {\not@math@alphabet\mdseries\relax
         \fontseries\mddefault\selectfont}
\DeclareRobustCommand\upshape
        {\not@math@alphabet\upshape\relax
         \fontshape\updefault\selectfont}
\DeclareRobustCommand\slshape
        {\not@math@alphabet\slshape\relax
         \fontshape\sldefault\selectfont}
\DeclareRobustCommand\scshape
        {\not@math@alphabet\scshape\relax
         \fontshape\scdefault\selectfont}
\DeclareRobustCommand\itshape
        {\not@math@alphabet\itshape\mathit
         \fontshape\itdefault\selectfont}
\DeclareRobustCommand\em
        {\@nomath\em \ifdim \fontdimen\@ne\font >\z@
                       \upshape \else \itshape \fi}
\def\not@math@alphabet#1#2{%
   \relax
   \ifmmode
     \@latex@error{Command \noexpand#1invalid in math mode}%
        {%
         Please
         \ifx#2\relax
            define a new math alphabet^^J%
            if you want to use a special font in math mode%
          \else
            use the math alphabet \noexpand#2instead of
            the #1command%
         \fi
         .
        }%
   \fi}
\def\boldmath{\@nomath\boldmath
              \mathversion{bold}}
\def\unboldmath{\@nomath\unboldmath
              \mathversion{normal}}
\def\math@version{normal}
\def\newfont#1#2{\@ifdefinable#1{\font#1=#2\relax}}
\def\symbol#1{\char #1\relax}
\def\@setfontsize#1#2#3{\@nomath#1%
    \ifx\protect\@typeset@protect
      \let\@currsize#1%
    \fi
    \fontsize{#2}{#3}\selectfont}
\def\@setsize#1#2#3#4{\@setfontsize#1{#4}{#2}}
\def\oldstylenums#1{%
   \begingroup
    \spaceskip\fontdimen\tw@\font
    \usefont{OML}{\rmdefault}{\f@series}{it}%
    \mathgroup\symletters #1%
   \endgroup
}
\def\hexnumber@#1{\ifcase\number#1
 0\or 1\or 2\or 3\or 4\or 5\or 6\or 7\or 8\or
 9\or A\or B\or C\or D\or E\or F\fi}
\def\nfss@text#1{{\mbox{#1}}}
\DeclareRobustCommand\normalfont
                 {\usefont\encodingdefault
                          \familydefault
                          \seriesdefault
                          \shapedefault
                  \relax}
\let\reset@font\normalfont
\def\not@base#1{\@latex@error
  {Command \noexpand#1not provided in base LaTeX2e}%
  {Load the latexsym or the amsfonts package to
   define this symbol}}
\def\mho{\not@base\mho}
\def\Join{\not@base\Join}
\def\Box{\not@base\Box}
\def\Diamond{\not@base\Diamond}
\def\leadsto{\not@base\leadsto}
\def\sqsubset{\not@base\sqsubset}
\def\sqsupset{\not@base\sqsupset}
\def\lhd{\not@base\lhd}
\def\unlhd{\not@base\unlhd}
\def\rhd{\not@base\rhd}
\def\unrhd{\not@base\unrhd}
\DeclareErrorFont{OT1}{cmr}{m}{n}{10}  %% don't modify this setting
                                       %% overwrite it in fontdef.cfg
                                       %% if necessary
\ifnum\inputlineno=\m@ne
\InputIfFileExists{fonttext.cfg}
           {\typeout{====================================^^J%
                     ^^J%
                      Local config file fonttext.cfg used^^J%
                     ^^J%
                     ====================================}%
             \def\@addtofilelist##1{\xdef\@filelist{\@filelist,##1}}%
            }
           {\typeout{!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!^^J%
                     !^^J%
                     ! You MUST use a fonttext.cfg file!^^J%
                     ! As you are still using TeX2!!!!!^^J%
                     !^^J%
                     ! See the documentation file tex2.txt^^J%
                     !^^J%
                     !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!}%
                    \batchmode \@@end}
\else
\InputIfFileExists{fonttext.cfg}
           {\typeout{====================================^^J%
                     ^^J%
                      Local config file fonttext.cfg used^^J%
                     ^^J%
                     ====================================}%
             \def\@addtofilelist##1{\xdef\@filelist{\@filelist,##1}}%
            }
           {\input{fonttext.ltx}}
\fi
\let\@addtofilelist\@gobble
\InputIfFileExists{fontmath.cfg}
           {\typeout{====================================^^J%
                     ^^J%
                      Local config file fontmath.cfg used^^J%
                     ^^J%
                     ====================================}%
             \def\@addtofilelist##1{\xdef\@filelist{\@filelist,##1}}%
            }
           {\input{fontmath.ltx}}
\let\@addtofilelist\@gobble
\InputIfFileExists{preload.cfg}
           {\typeout{====================================^^J%
                     ^^J%
                      Local config file preload.cfg used^^J%
                     ^^J%
                     =====================================}%
             \def\@addtofilelist##1{\xdef\@filelist{\@filelist,##1}}%
            }
           {\input{preload.ltx}}
\let\@addtofilelist\@gobble
\let\@acci\' \let\@accii\` \let\@acciii\=
%%% From File: ltfntcmd.dtx
%%
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \<
%%   Equals        \=     Greater than  \>     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
\def \DeclareTextFontCommand #1#2{%
  \DeclareRobustCommand#1[1]{%
    \ifmmode
      \nfss@text{#2##1}%
    \else
      \hmode@bgroup
       \text@command{##1}%
       #2\check@icl ##1\check@icr
       \expandafter
      \egroup
    \fi
                       }%
}
\DeclareTextFontCommand{\textrm}{\rmfamily}
\DeclareTextFontCommand{\textsf}{\sffamily}
\DeclareTextFontCommand{\texttt}{\ttfamily}
\DeclareTextFontCommand{\textnormal}{\normalfont}
\DeclareTextFontCommand{\textbf}{\bfseries}
\DeclareTextFontCommand{\textmd}{\mdseries}
\DeclareTextFontCommand{\textit}{\itshape}
\DeclareTextFontCommand{\textsl}{\slshape}
\DeclareTextFontCommand{\textsc}{\scshape}
\DeclareTextFontCommand{\textup}{\upshape}
\DeclareTextFontCommand{\emph}{\em}
\let \nocorr \relax
\let \check@icl \@empty
\let \check@icr \@empty
\def \text@command #1{%
  \def \reserved@a {#1}%
  \ifx \reserved@a \@empty
    \let \check@icl \@empty
    \let \check@icr \@empty
  \else
    \ifx \reserved@a \space
      \let \check@icl \@empty
      \let \check@icr \@empty
    \else
      \check@nocorr@ #1\nocorr\@nil
    \fi
  \fi
}
\def \check@nocorr@ #1#2\nocorr#3\@nil {%
  \let \check@icl \maybe@ic
  \def \check@icr {\ifvmode \else \aftergroup \maybe@ic \fi}%
  \def \reserved@a {\nocorr}%
  \def \reserved@b {#1}%
  \def \reserved@c {#3}%
  \ifx \reserved@a \reserved@b
    \ifx \reserved@c \@empty
      \let \check@icl \@empty
    \else
      \let \check@icl \@empty
      \let \check@icr \@empty
    \fi
  \else
    \ifx \reserved@c \@empty
    \else
      \let \check@icr \@empty
    \fi
  \fi
}
\def \maybe@ic {\futurelet\@let@token\maybe@ic@}
\def \maybe@ic@ {%
  \ifdim  \fontdimen\@ne\font>\z@
  \else
    \@tempswatrue
    \expandafter\@tfor\expandafter\reserved@a\expandafter:\expandafter=%
        \nocorrlist
    \do \t@st@ic
    \if@tempswa \sw@slant \fi
  \fi
}
\def \t@st@ic {%
  \expandafter\let\expandafter\reserved@b\expandafter=\reserved@a\relax
  \ifx\reserved@b\@let@token
    \@tempswafalse
    \@break@tfor
  \fi
}
\def \sw@slant {%
  \ifdim \lastskip=\z@
    \fix@penalty
  \else
    \skip@ \lastskip
    \unskip
    \fix@penalty
    \hskip \skip@
  \fi
}
\def \fix@penalty {%
  \ifnum \lastpenalty=\z@
    \@@italiccorr
  \else
    \count@ \lastpenalty
    \unpenalty
    \@@italiccorr
    \penalty \count@
  \fi
}
\def \nocorrlist {,.}
\ifx \nfss@text\@undefined
  \def \nfss@text {\leavevmode\hbox}
\fi
\def \DeclareOldFontCommand #1#2#3{%
  \DeclareRobustCommand #1{\@fontswitch {#2}{#3}}%
}
\def \@fontswitch #1#2{%
  \ifmmode
     \let \math@bgroup \relax
     \def \math@egroup {\let \math@bgroup \@@math@bgroup
                        \let \math@egroup \@@math@egroup}%
     #2\relax
  \else
     #1%
  \fi
}
\let \@@math@bgroup \math@bgroup
\let \@@math@egroup \math@egroup
\@onlypreamble \DeclareTextFontCommand
\@onlypreamble \DeclareOldFontCommand
\def\normalsize{%
  \@latex@error {The font size command \protect\normalsize\space
              is not defined:\MessageBreak
              there is probably something wrong with
              the class file}\@eha
}
%%% From File: ltpageno.dtx
\message{page nos.,}
\countdef\c@page=0 \c@page=1
\def\cl@page{}
\def\pagenumbering#1{%
  \global\c@page \@ne \gdef\thepage{\csname @#1\endcsname
   \c@page}}
%%% From File: ltxref.dtx
\message{x-ref,}
\def\G@refundefinedtrue{%
  \gdef\@refundefined{%
    \@latex@warning@no@line{There were undefined references}}}
\let\@refundefined\relax
\def\@setref#1#2#3{%
  \ifx#1\relax
   \protect\G@refundefinedtrue
   \nfss@text{\reset@font\bfseries ??}%
   \@latex@warning{Reference `#3' on page \thepage \space
             undefined}%
  \else
   \expandafter#2#1\null
  \fi}
\def\ref#1{\expandafter\@setref\csname r@#1\endcsname\@firstoftwo{#1}}
\def\pageref#1{\expandafter\@setref\csname r@#1\endcsname
                                   \@secondoftwo{#1}}
\def\@newl@bel#1#2#3{{%
  \@ifundefined{#1@#2}%
    \relax
    {\gdef \@multiplelabels {%
       \@latex@warning@no@line{There were multiply-defined labels}}%
     \@latex@warning@no@line{Label `#2' multiply defined}}%
  \global\@namedef{#1@#2}{#3}}}
\def\newlabel{\@newl@bel r}
\@onlypreamble\@newl@bel
\let \@multiplelabels \relax
\def\label#1{\@bsphack
  \protected@write\@auxout{}%
         {\string\newlabel{#1}{{\@currentlabel}{\thepage}}}%
  \@esphack}
\def\refstepcounter#1{\stepcounter{#1}%
    \protected@edef\@currentlabel
       {\csname p@#1\endcsname\csname the#1\endcsname}%
}
\def\@currentlabel{}
%%% From File: ltmiscen.dtx
\message{environments,}
\def\@currenvir{document}
\def\@ignorefalse{\global\let\if@ignore\iffalse}
\def\@ignoretrue {\global\let\if@ignore\iftrue}
\@ignorefalse
\let\ignorespacesafterend\@ignoretrue
\def\enddocument{%
   \let\AtEndDocument\@firstofone
   \@enddocumenthook
   \@checkend{document}%
   \clearpage
   \begingroup
     \if@filesw
       \immediate\closeout\@mainaux
       \let\@setckpt\@gobbletwo
       \let\@newl@bel\@testdef
       \@tempswafalse
       \makeatletter \input\jobname.aux
     \fi
     \@dofilelist
     \ifdim \font@submax >\fontsubfuzz\relax
       \@font@warning{Size substitutions with differences\MessageBreak
                  up to \font@submax\space have occurred.\@gobbletwo}%
     \fi
     \@defaultsubs
     \@refundefined
     \if@filesw
       \ifx \@multiplelabels \relax
         \if@tempswa
           \@latex@warning@no@line{Label(s) may have changed.
               Rerun to get cross-references right}%
         \fi
       \else
         \@multiplelabels
       \fi
     \fi
   \endgroup
   \deadcycles\z@\@@end}
\def\@testdef #1#2#3{%
  \def\reserved@a{#3}\expandafter \ifx \csname #1@#2\endcsname
 \reserved@a  \else \@tempswatrue \fi}
\long\def\@writefile#1#2{%
  \@ifundefined{tf@#1}\relax
    {\@temptokena{#2}%
     \immediate\write\csname tf@#1\endcsname{\the\@temptokena}%
    }%
}
\def\stop{\clearpage\deadcycles\z@\let\par\@@par\@@end}
\everypar{\@nodocument} %% To get an error if text appears before the
\nullfont               %% \begin{document}
\def\begin#1{%
  \@ifundefined{#1}%
    {\def\reserved@a{\@latex@error{Environment #1 undefined}\@eha}}%
    {\def\reserved@a{\def\@currenvir{#1}%
     \edef\@currenvline{\on@line}%
     \csname #1\endcsname}}%
  \@ignorefalse
  \begingroup\@endpefalse\reserved@a}
\def\end#1{%
  \csname end#1\endcsname\@checkend{#1}%
  \expandafter\endgroup\if@endpe\@doendpe\fi
  \if@ignore\@ignorefalse\ignorespaces\fi}
\def\@checkend#1{\def\reserved@a{#1}\ifx
      \reserved@a\@currenvir \else\@badend{#1}\fi}
\let\@currenvline\@empty
\message{center,}
\def\@centercr{\ifhmode \unskip\else \@nolnerr\fi
       \par\@ifstar{\nobreak\@xcentercr}\@xcentercr}
\def\@xcentercr{\addvspace{-\parskip}\@ifnextchar
    [\@icentercr\ignorespaces}
\def\@icentercr[#1]{\vskip #1\ignorespaces}
\def\center{\trivlist \centering\item\relax}
\def\endcenter{\endtrivlist}
\def\centering{%
  \let\\\@centercr
  \rightskip\@flushglue\leftskip\@flushglue
  \parindent\z@\parfillskip\z@skip}
\newskip\@rightskip \@rightskip \z@skip
\def\flushleft{\trivlist \raggedright\item\relax}
\def\endflushleft{\endtrivlist}
\def\raggedright{%
  \let\\\@centercr\@rightskip\@flushglue \rightskip\@rightskip
  \leftskip\z@skip
  \parindent\z@}
\def\flushright{\trivlist \raggedleft\item\relax}
\def\endflushright{\endtrivlist}
\def\raggedleft{%
  \let\\\@centercr
  \rightskip\z@skip\leftskip\@flushglue
  \parindent\z@\parfillskip\z@skip}
\message{verbatim,}
{\catcode`\ =\active%
\gdef\@vobeyspaces{\catcode`\ \active\let \@xobeysp}}
\begingroup \catcode `|=0 \catcode `[= 1
\catcode`]=2 \catcode `\{=12 \catcode `\}=12
\catcode`\\=12 |gdef|@xverbatim#1\end{verbatim}[#1|end[verbatim]]
|gdef|@sxverbatim#1\end{verbatim*}[#1|end[verbatim*]]
|endgroup
\def\@verbatim{\trivlist \item\relax
  \if@minipage\else\vskip\parskip\fi
  \leftskip\@totalleftmargin\rightskip\z@skip
  \parindent\z@\parfillskip\@flushglue\parskip\z@skip
  \@@par
  \@tempswafalse
  \def\par{%
    \if@tempswa
      \leavevmode \null \@@par\penalty\interlinepenalty
    \else
      \@tempswatrue
      \ifhmode\@@par\penalty\interlinepenalty\fi
    \fi}%
  \let\do\@makeother \dospecials
  \obeylines \verbatim@font \@noligs
  \hyphenchar\font\m@ne
  \everypar \expandafter{\the\everypar \unpenalty}%
}
\def\verbatim{\@verbatim \frenchspacing\@vobeyspaces \@xverbatim}
\def\endverbatim{\if@newlist \leavevmode\fi\endtrivlist}
\def\verbatim@font{\normalfont\ttfamily}
\@namedef{verbatim*}{\@verbatim\@sxverbatim}
\expandafter\let\csname endverbatim*\endcsname =\endverbatim
\def\@makeother#1{\catcode`#112\relax}
\let\verb@balance@group\@empty
\def\verb@egroup{\global\let\verb@balance@group\@empty\egroup}
\begingroup
  \obeylines%
  \gdef\verb@eol@error{\obeylines%
    \def^^M{\verb@egroup\@latex@error{%
            \noexpand\verb ended by end of line}\@ehc}}%
\endgroup
\def\verb{\relax\ifmmode\hbox\else\leavevmode\null\fi
  \bgroup
    \verb@eol@error \let\do\@makeother \dospecials
    \verbatim@font\@noligs
    \@ifstar\@sverb\@verb}
\def\@sverb#1{%
  \catcode`#1\active
  \lccode`\~`#1%
  \gdef\verb@balance@group{\verb@egroup
     \@latex@error{\noexpand\verb illegal in command argument}\@ehc}%
  \aftergroup\verb@balance@group
  \lowercase{\let~\verb@egroup}}%
\def\@verb{\@vobeyspaces \frenchspacing \@sverb}
\def\verbatim@nolig@list{\do\`\do\<\do\>\do\,\do\'\do\-}
\def\do@noligs#1{%
  \catcode`#1\active
  \begingroup
     \lccode`\~`#1\relax
     \lowercase{\endgroup\def~{\leavevmode\kern\z@\char`#1}}}
\def\@noligs{\let\do\do@noligs \verbatim@nolig@list}
%%% From File: ltmath.dtx
\message{math definitions,}
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \<
%%   Equals        \=     Greater than  \>     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
%%
\def\log{\mathop{\operator@font log}\nolimits}
\def\lg{\mathop{\operator@font lg}\nolimits}
\def\ln{\mathop{\operator@font ln}\nolimits}
\def\lim{\mathop{\operator@font lim}}
\def\limsup{\mathop{\operator@font lim\,sup}}
\def\liminf{\mathop{\operator@font lim\,inf}}
\def\sin{\mathop{\operator@font sin}\nolimits}
\def\arcsin{\mathop{\operator@font arcsin}\nolimits}
\def\sinh{\mathop{\operator@font sinh}\nolimits}
\def\cos{\mathop{\operator@font cos}\nolimits}
\def\arccos{\mathop{\operator@font arccos}\nolimits}
\def\cosh{\mathop{\operator@font cosh}\nolimits}
\def\tan{\mathop{\operator@font tan}\nolimits}
\def\arctan{\mathop{\operator@font arctan}\nolimits}
\def\tanh{\mathop{\operator@font tanh}\nolimits}
\def\cot{\mathop{\operator@font cot}\nolimits}
\def\coth{\mathop{\operator@font coth}\nolimits}
\def\sec{\mathop{\operator@font sec}\nolimits}
\def\csc{\mathop{\operator@font csc}\nolimits}
\def\max{\mathop{\operator@font max}}
\def\min{\mathop{\operator@font min}}
\def\sup{\mathop{\operator@font sup}}
\def\inf{\mathop{\operator@font inf}}
\def\arg{\mathop{\operator@font arg}\nolimits}
\def\ker{\mathop{\operator@font ker}\nolimits}
\def\dim{\mathop{\operator@font dim}\nolimits}
\def\hom{\mathop{\operator@font hom}\nolimits}
\def\