revtex

git-svn-id: svn://tug.org/texlive/trunk@1278 c570f23f-e606-0410-a88d-b1316a301751

8 files changed, 7588 insertions, 0 deletions

diff --git a/Master/texmf-dist/tex/latex/revtex/10pt.rtx b/Master/texmf-dist/tex/latex/revtex/10pt.rtx
new file mode 100644
index 00000000000..73557631c48
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/10pt.rtx
@@ -0,0 +1,163 @@
+%%
+%% This is file `10pt.rtx',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4.dtx  (with options: `10pt')
+%% 
+%% This file is part of the APS files in the REVTeX 4 distribution.
+%% For the version number, search on the string 
+%% Original version by David Carlisle
+%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% 
+%% Copyright (c) 1999 The American Physical Society.
+%% http://publish.aps.org/revtex4/
+%% mailto:revtex4@aps.org
+%% 
+%% See the REVTeX 4 README file for restrictions and more information.
+%% 
+\ProvidesFile{10pt.rtx}
+          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\def\normalsize{%
+   \@setfontsize\normalsize\@xpt{11.5}%
+   \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\p@
+   \belowdisplayskip \abovedisplayskip
+   \abovedisplayshortskip  \abovedisplayskip
+   \belowdisplayshortskip \abovedisplayskip
+   \let\@listi\@listI
+}%
+\def\small{%
+  \@setfontsize\small\@ixpt{10.5}%
+  \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@
+  \belowdisplayskip \abovedisplayskip
+  \abovedisplayshortskip \z@ \@plus2\p@
+  \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@
+  \def\@listi{%
+    \leftmargin\leftmargini
+    \topsep 4\p@ \@plus2\p@ \@minus2\p@
+    \parsep 2\p@ \@plus\p@ \@minus\p@
+    \itemsep \parsep
+  }%
+}%
+\def\footnotesize{%
+  \@setfontsize\footnotesize\@viiipt{9.5pt}%
+  \abovedisplayskip 6\p@ \@plus2\p@ \@minus4\p@
+  \belowdisplayskip \abovedisplayskip
+  \abovedisplayshortskip \z@ \@plus\p@
+  \belowdisplayshortskip 3\p@ \@plus\p@ \@minus2\p@
+  \def\@listi{%
+    \leftmargin\leftmargini
+    \topsep 3\p@ \@plus\p@ \@minus\p@
+    \parsep 2\p@ \@plus\p@ \@minus\p@
+    \itemsep \parsep
+  }%
+}%
+\def\scriptsize{%
+ \@setfontsize\scriptsize\@viipt\@viiipt
+}%
+\def\tiny{%
+ \@setfontsize\tiny\@vpt\@vipt
+}%
+\def\large{%
+ \@setfontsize\large\@xiipt{14pt}%
+}%
+\def\Large{%
+ \@setfontsize\Large\@xivpt{18pt}%
+}%
+\def\LARGE{%
+ \@setfontsize\LARGE\@xviipt{22pt}%
+}%
+\def\huge{%
+ \@setfontsize\huge\@xxpt{25pt}%
+}%
+\def\Huge{%
+ \@setfontsize\Huge\@xxvpt{30pt}%
+}%
+ \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
+ \twoside@sw{%
+    \oddsidemargin  -20pt
+    \evensidemargin -20pt
+    \marginparwidth 107pt
+ }{%
+    \oddsidemargin  -.25in
+    \evensidemargin -.25in
+    \marginparwidth 30pt
+ }%
+\marginparsep 6pt
+\topmargin -61pt
+\headheight 25pt
+\headsep 16pt
+\topskip 10pt
+\footskip 30pt
+ \textheight = 56pc
+\textwidth42.5pc
+\columnsep 1.5pc
+\columnseprule 0pt
+\footnotesep 1pt
+\skip\footins 39pt plus 4pt minus 2pt
+\def\footnoterule{\kern-19pt\hrule width.5in\kern18.6pt\relax}%
+\floatsep 12pt plus 2pt minus 2pt
+\textfloatsep 20pt plus 2pt minus 4pt
+\intextsep 12pt plus 2pt minus 2pt
+\dblfloatsep 12pt plus 2pt minus 2pt
+\dbltextfloatsep 20pt plus 2pt minus 4pt
+\@fptop 0pt plus 1fil
+\@fpsep 8pt plus 2fil
+\@fpbot 0pt plus 1fil
+\@dblfptop 0pt plus 1fil
+\@dblfpsep 8pt plus 2fil
+\@dblfpbot 0pt plus 1fil
+\marginparpush 5pt
+\parskip 0pt plus 1pt
+\parindent 10pt
+\emergencystretch8\p@
+\partopsep 2pt plus 1pt minus 1pt
+\leftmargini 25pt
+\leftmarginii 22pt
+\leftmarginiii 18.7pt
+\leftmarginiv 17pt
+\leftmarginv 10pt
+\leftmarginvi 10pt
+\def\@listI{%
+  \leftmargin\leftmargini
+  \parsep 4\p@ plus2\p@ minus\p@
+  \topsep 8\p@ plus2\p@ minus4\p@
+  \itemsep 4\p@ plus2\p@ minus\p@
+}%
+\labelsep 4pt
+\def\@listii{%
+  \leftmargin\leftmarginii
+  \labelwidth\leftmarginii
+  \advance\labelwidth-\labelsep
+  \topsep 4\p@ plus2\p@ minus\p@
+  \parsep 2\p@ plus\p@ minus\p@
+  \itemsep \parsep
+}%
+\def\@listiii{%
+  \leftmargin\leftmarginiii
+  \labelwidth\leftmarginiii
+  \advance\labelwidth-\labelsep
+  \topsep 2\p@ plus\p@ minus\p@
+  \parsep \z@
+  \partopsep \p@ plus\z@ minus\p@
+  \itemsep \topsep
+}%
+\def\@listiv{%
+  \leftmargin\leftmarginiv
+  \labelwidth\leftmarginiv
+  \advance\labelwidth-\labelsep
+}%
+\def\@listv{%
+  \leftmargin\leftmarginv
+  \labelwidth\leftmarginv
+  \advance\labelwidth-\labelsep
+}%
+\def\@listvi{%
+  \leftmargin\leftmarginvi
+  \labelwidth\leftmarginvi
+  \advance\labelwidth-\labelsep
+}%
+\endinput
+%%
+%% End of file `10pt.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/11pt.rtx b/Master/texmf-dist/tex/latex/revtex/11pt.rtx
new file mode 100644
index 00000000000..d80c3857bc6
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/11pt.rtx
@@ -0,0 +1,154 @@
+%%
+%% This is file `11pt.rtx',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4.dtx  (with options: `11pt')
+%% 
+%% This file is part of the APS files in the REVTeX 4 distribution.
+%% For the version number, search on the string 
+%% Original version by David Carlisle
+%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% 
+%% Copyright (c) 1999 The American Physical Society.
+%% http://publish.aps.org/revtex4/
+%% mailto:revtex4@aps.org
+%% 
+%% See the REVTeX 4 README file for restrictions and more information.
+%% 
+\ProvidesFile{11pt.rtx}
+          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\def\normalsize{%
+    \@setfontsize\normalsize\@xipt{13.6}%
+    \abovedisplayskip 11\p@ \@plus3\p@ \@minus6\p@
+    \belowdisplayskip \abovedisplayskip
+    \abovedisplayshortskip  \abovedisplayskip
+    \belowdisplayshortskip \abovedisplayskip
+    \let\@listi\@listI
+}%
+\def\small{%
+   \@setfontsize\small\@xpt\@xiipt
+   \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\p@
+   \abovedisplayshortskip \z@ \@plus3\p@
+   \belowdisplayshortskip 6\p@ \@plus3\p@ \@minus3\p@
+   \def\@listi{\leftmargin\leftmargini
+               \topsep 6\p@ \@plus2\p@ \@minus2\p@
+               \parsep 3\p@ \@plus2\p@ \@minus\p@
+               \itemsep \parsep
+   }%
+   \belowdisplayskip \abovedisplayskip
+}%
+\def\footnotesize{%
+   \@setfontsize\footnotesize\@ixpt{11}%
+   \abovedisplayskip 8\p@ \@plus2\p@ \@minus4\p@
+   \abovedisplayshortskip \z@ \@plus\p@
+   \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@
+   \def\@listi{\leftmargin\leftmargini
+               \topsep 4\p@ \@plus2\p@ \@minus2\p@
+               \parsep 2\p@ \@plus\p@ \@minus\p@
+               \itemsep \parsep
+   }%
+   \belowdisplayskip \abovedisplayskip
+}%
+\def\scriptsize{%
+  \@setfontsize\scriptsize\@viiipt{9.5}%
+}%
+\def\tiny{%
+  \@setfontsize\tiny\@vipt\@viipt
+}%
+\def\large{%
+  \@setfontsize\large\@xiipt{14}%
+}%
+\def\Large{%
+  \@setfontsize\Large\@xivpt{18}%
+}%
+\def\LARGE{%
+  \@setfontsize\LARGE\@xviipt{22}%
+}%
+\def\huge{%
+    \@setfontsize\huge\@xxpt{25pt}%
+}%
+\def\Huge{%
+  \@setfontsize\Huge\@xxvpt{30pt}%
+}%
+ \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
+ \twoside@sw{%
+  \oddsidemargin   0pt
+  \evensidemargin  0pt
+  \marginparwidth 60pt
+ }{%
+  \oddsidemargin 0pt
+  \evensidemargin 0pt
+  \marginparwidth 44pt
+ }%
+\marginparsep 10pt
+\topmargin -37pt
+\headheight 12pt
+\headsep 25pt
+\topskip 10pt
+\footskip 30pt
+ \@ifxundefined\tightenlines@sw{\@booleanfalse\tightenlines@sw}{}%
+ \textheight=665.5\p@
+ \tightenlines@sw{%
+  \def\baselinestretch{1}%
+ }{%
+  \def\baselinestretch{1.5}%
+ }%
+\textwidth 468pt
+\columnsep 10pt
+\columnseprule 0pt
+\footnotesep 1pt
+\skip\footins 25.25pt plus 4pt minus 2pt
+\def\footnoterule{\kern-5.25pt\hrule width.5in\kern4.85pt\relax}
+\floatsep        14pt plus 2pt minus 4pt
+\textfloatsep    20pt plus 2pt minus 4pt
+\intextsep       14pt plus 4pt minus 4pt
+\dblfloatsep     14pt plus 2pt minus 4pt
+\dbltextfloatsep 20pt plus 2pt minus 4pt
+\@fptop 0pt plus 1fil
+\@fpsep 10pt plus 2fil
+\@fpbot 0pt plus 1fil
+\@dblfptop 0pt plus 1fil
+\@dblfpsep 10pt plus 2fil%
+\@dblfpbot 0pt plus 1fil
+\marginparpush 7pt
+\parskip 0pt plus 1pt
+\parindent 15pt
+\emergencystretch8\p@
+\partopsep 3pt plus 2pt minus 2pt
+\leftmargini   30pt
+\leftmarginii  26pt
+\leftmarginiii 22pt
+\leftmarginiv  20pt
+\leftmarginv   12pt
+\leftmarginvi  12pt
+\def\@listI{\leftmargin\leftmargini \parsep 5\p@ plus2.5\p@ minus\p@
+  \topsep 10\p@ plus4\p@ minus6\p@
+  \itemsep 5\p@ plus2.5\p@ minus\p@
+}%
+\labelsep 6pt
+\def\@listii{\leftmargin\leftmarginii
+  \labelwidth\leftmarginii\advance\labelwidth-\labelsep
+  \topsep 5\p@ plus2.5\p@ minus\p@
+  \parsep 2.5\p@ plus\p@ minus\p@
+  \itemsep \parsep
+}%
+\def\@listiii{\leftmargin\leftmarginiii
+  \labelwidth\leftmarginiii\advance\labelwidth-\labelsep
+  \topsep 2.5\p@ plus\p@ minus\p@
+  \parsep \z@ \partopsep \p@ plus\z@ minus\p@
+  \itemsep \topsep
+}%
+\def\@listiv{\leftmargin\leftmarginiv
+  \labelwidth\leftmarginiv\advance\labelwidth-\labelsep
+}%
+\def\@listv{\leftmargin\leftmarginv
+  \labelwidth\leftmarginv\advance\labelwidth-\labelsep
+}%
+\def\@listvi{\leftmargin\leftmarginvi
+  \labelwidth\leftmarginvi\advance\labelwidth-\labelsep
+}%
+\endinput
+%%
+%% End of file `11pt.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/12pt.rtx b/Master/texmf-dist/tex/latex/revtex/12pt.rtx
new file mode 100644
index 00000000000..b33c2797e20
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/12pt.rtx
@@ -0,0 +1,154 @@
+%%
+%% This is file `12pt.rtx',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4.dtx  (with options: `12pt')
+%% 
+%% This file is part of the APS files in the REVTeX 4 distribution.
+%% For the version number, search on the string 
+%% Original version by David Carlisle
+%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% 
+%% Copyright (c) 1999 The American Physical Society.
+%% http://publish.aps.org/revtex4/
+%% mailto:revtex4@aps.org
+%% 
+%% See the REVTeX 4 README file for restrictions and more information.
+%% 
+\ProvidesFile{12pt.rtx}
+          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\def\normalsize{%
+  \@setfontsize\normalsize\@xiipt{14pt}%
+  \abovedisplayskip 12\p@ \@plus3\p@ \@minus7\p@
+  \belowdisplayskip \abovedisplayskip
+  \abovedisplayshortskip  \z@ plus3\p@
+  \belowdisplayshortskip  6.5\p@ \@plus3.5\p@ \@minus3\p@
+  \let\@listi\@listI
+}%
+ \def\small{%
+  \@setfontsize\small\@xipt{14.5pt}%
+  \abovedisplayskip 8\p@ \@plus3\p@ \@minus6\p@
+  \belowdisplayskip \abovedisplayskip
+  \abovedisplayshortskip \z@ \@plus3\p@
+  \belowdisplayshortskip 6.5\p@ \@plus3.5\p@ \@minus3\p@
+  \def\@listi{%
+    \leftmargin\leftmargini
+    \topsep 9\p@ \@plus3\p@ \@minus5\p@
+    \parsep 4.5\p@ \@plus2\p@ \@minus\p@
+    \itemsep \parsep
+  }%
+}%
+ \def\footnotesize{%
+  \@setfontsize\footnotesize\@xpt{14.5pt}%
+  \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\p@
+  \belowdisplayskip \abovedisplayskip
+  \abovedisplayshortskip \z@ \@plus3\p@
+  \belowdisplayshortskip 6\p@ \@plus3\p@ \@minus3\p@
+  \def\@listi{%
+    \leftmargin\leftmargini
+    \topsep 6\p@ \@plus2\p@ \@minus2\p@
+    \parsep 3\p@ \@plus2\p@ \@minus\p@
+    \itemsep \parsep
+  }%
+}%
+\def\scriptsize{%
+  \@setfontsize\scriptsize\@viiipt{9.5pt}%
+}%
+\def\tiny{%
+  \@setfontsize\tiny\@vipt{7pt}%
+}%
+\def\large{%
+  \@setfontsize\large\@xivpt{18pt}%
+}%
+\def\Large{%
+  \@setfontsize\Large\@xviipt{22pt}%
+}%
+\def\LARGE{%
+  \@setfontsize\LARGE\@xxpt{25pt}%
+}%
+\def\huge{%
+    \@setfontsize\huge\@xxvpt{30pt}%
+}%
+\let\Huge=\huge
+ \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
+ \twoside@sw{%
+  \oddsidemargin   0pt
+  \evensidemargin  0pt
+  \marginparwidth 60pt
+ }{%
+  \oddsidemargin 0pt
+  \evensidemargin 0pt
+  \marginparwidth 44pt
+ }%
+\marginparsep 10pt
+\topmargin -37pt
+\headheight 12pt
+\headsep 25pt
+\topskip 10pt
+\footskip 30pt
+ \@ifxundefined\tightenlines@sw{\@booleanfalse\tightenlines@sw}{}%
+ \textheight=665.5\p@
+ \tightenlines@sw{%
+  \def\baselinestretch{1}%
+ }{%
+  \def\baselinestretch{1.5}%
+ }%
+\textwidth 468pt
+\columnsep 10pt
+\columnseprule 0pt
+\footnotesep 1pt
+\skip\footins 25.25pt plus 4pt minus 2pt
+\def\footnoterule{\kern-5.25pt\hrule width.5in\kern4.85pt\relax}
+\floatsep        14pt plus 2pt minus 4pt
+\textfloatsep    20pt plus 2pt minus 4pt
+\intextsep       14pt plus 4pt minus 4pt
+\dblfloatsep     14pt plus 2pt minus 4pt
+\dbltextfloatsep 20pt plus 2pt minus 4pt
+\@fptop 0pt plus 1fil
+\@fpsep 10pt plus 2fil
+\@fpbot 0pt plus 1fil
+\@dblfptop 0pt plus 1fil
+\@dblfpsep 10pt plus 2fil%
+\@dblfpbot 0pt plus 1fil
+\marginparpush 7pt
+\parskip 0pt plus 1pt
+\parindent 15pt
+\emergencystretch8\p@
+\partopsep 3pt plus 2pt minus 2pt
+\leftmargini   30pt
+\leftmarginii  26pt
+\leftmarginiii 22pt
+\leftmarginiv  20pt
+\leftmarginv   12pt
+\leftmarginvi  12pt
+\def\@listI{\leftmargin\leftmargini \parsep 5\p@ plus2.5\p@ minus\p@
+  \topsep 10\p@ plus4\p@ minus6\p@
+  \itemsep 5\p@ plus2.5\p@ minus\p@
+}%
+\labelsep 6pt
+\def\@listii{\leftmargin\leftmarginii
+  \labelwidth\leftmarginii\advance\labelwidth-\labelsep
+  \topsep 5\p@ plus2.5\p@ minus\p@
+  \parsep 2.5\p@ plus\p@ minus\p@
+  \itemsep \parsep
+}%
+\def\@listiii{\leftmargin\leftmarginiii
+  \labelwidth\leftmarginiii\advance\labelwidth-\labelsep
+  \topsep 2.5\p@ plus\p@ minus\p@
+  \parsep \z@ \partopsep \p@ plus\z@ minus\p@
+  \itemsep \topsep
+}%
+\def\@listiv{\leftmargin\leftmarginiv
+  \labelwidth\leftmarginiv\advance\labelwidth-\labelsep
+}%
+\def\@listv{\leftmargin\leftmarginv
+  \labelwidth\leftmarginv\advance\labelwidth-\labelsep
+}%
+\def\@listvi{\leftmargin\leftmarginvi
+  \labelwidth\leftmarginvi\advance\labelwidth-\labelsep
+}%
+\endinput
+%%
+%% End of file `12pt.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/aps.rtx b/Master/texmf-dist/tex/latex/revtex/aps.rtx
new file mode 100644
index 00000000000..d594319714b
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/aps.rtx
@@ -0,0 +1,573 @@
+%%
+%% This is file `aps.rtx',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4.dtx  (with options: `aps')
+%% 
+%% This file is part of the APS files in the REVTeX 4 distribution.
+%% For the version number, search on the string 
+%% Original version by David Carlisle
+%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% 
+%% Copyright (c) 1999 The American Physical Society.
+%% http://publish.aps.org/revtex4/
+%% mailto:revtex4@aps.org
+%% 
+%% See the REVTeX 4 README file for restrictions and more information.
+%% 
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]
+\ProvidesFile{aps.rtx}
+          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ifx\undefined\substyle@ext
+ \def\@tempa{%
+  \endinput
+  \GenericWarning{I must be read in by REVTeX! (Bailing out)}%
+ }%
+ \expandafter\else
+  \def\@tempa{}%
+ \expandafter\fi\@tempa
+\def\ao{Appl.\  Opt.\ }
+\def\ap{Appl.\  Phys.\ }
+\def\apl{Appl.\ Phys.\ Lett.\ }
+\def\apj{Astrophys.\ J.\ }
+\def\bell{Bell Syst.\ Tech.\ J.\ }
+\def\jqe{IEEE J.\ Quantum Electron.\ }
+\def\assp{IEEE Trans.\ Acoust.\ Speech Signal Process.\ }
+\def\aprop{IEEE Trans.\ Antennas Propag.\ }
+\def\mtt{IEEE Trans.\ Microwave Theory Tech.\ }
+\def\iovs{Invest.\ Ophthalmol.\ Vis.\ Sci.\ }
+\def\jcp{J.\ Chem.\ Phys.\ }
+\def\jmo{J.\ Mod.\ Opt.\ }
+\def\josa{J.\ Opt.\ Soc.\ Am.\ }
+\def\josaa{J.\ Opt.\ Soc.\ Am.\ A }
+\def\josab{J.\ Opt.\ Soc.\ Am.\ B }
+\def\jpp{J.\ Phys.\ (Paris) }
+\def\nat{Nature (London) }
+\def\oc{Opt.\ Commun.\ }
+\def\ol{Opt.\ Lett.\ }
+\def\pl{Phys.\ Lett.\ }
+\def\pra{Phys.\ Rev.\ A }
+\def\prb{Phys.\ Rev.\ B }
+\def\prc{Phys.\ Rev.\ C }
+\def\prd{Phys.\ Rev.\ D }
+\def\pre{Phys.\ Rev.\ E }
+\def\prl{Phys.\ Rev.\ Lett.\ }
+\def\rmp{Rev.\ Mod.\ Phys.\ }
+\def\pspie{Proc.\ Soc.\ Photo-Opt.\ Instrum.\ Eng.\ }
+\def\sjqe{Sov.\ J.\ Quantum Electron.\ }
+\def\vr{Vision Res.\ }
+\def\@fnsymbol#1{%
+ \ensuremath{%
+  \ifcase#1\or
+   *\or                        \dagger                   \or
+   \ddagger                \or \mathsection              \or
+   \mathparagraph\or
+   **\or                       \dagger\dagger            \or
+   \ddagger\ddagger        \or \mathsection \mathsection \or
+   \mathparagraph\mathparagraph\or
+   *{*}*\ignorespaces      \or \dagger\dagger\dagger     \or
+   \ddagger\ddagger\ddagger\or \mathsection \mathsection \mathsection \or
+   \mathparagraph\mathparagraph\mathparagraph\or
+  \else
+   \@ctrerr
+  \fi
+ }%
+}%
+\renewenvironment{titlepage}{%
+  \let\wastwocol@sw\twocolumn@sw
+  \onecolumngrid
+  \newpage
+  \thispagestyle{titlepage}%
+  \c@page\z@% article sets this to one not zero???
+}{%
+  \wastwocol@sw{\twocolumngrid}{\newpage}%
+}%
+\def\frontmatter@abstractheading{%
+ \preprintsty@sw{%
+  \begingroup
+   \centering\large
+   \abstractname
+   \par
+  \endgroup
+ }{}%
+}%
+\def\frontmatter@abstractwidth{400\p@}%
+\def\frontmatter@abstractfont{%
+ \small
+ \parindent1em\relax
+ \adjust@abstractwidth
+}%
+\def\adjust@abstractwidth{%
+ \dimen@\textwidth\advance\dimen@-\frontmatter@abstractwidth
+ \divide\dimen@\tw@
+ \galley@sw{%
+  \advance\rightskip\tw@\dimen@
+ }{%
+  \advance\leftskip\dimen@
+  \advance\rightskip\dimen@
+ }%
+}%
+\appdef\class@documenthook{%
+  \preprintsty@sw{%
+   \@ifxundefined\titlepage@sw{\@booleantrue\titlepage@sw}{}%
+   \def\frontmatter@abstractwidth{\textwidth}%
+   \def\frontmatter@affiliationfont{\it}%
+   \let\section\section@preprintsty
+   \let\subsection\subsection@preprintsty
+   \let\subsubsection\subsubsection@preprintsty
+  }{}%
+ }%
+\def\frontmatter@authorformat{%
+ \skip@\@flushglue
+ \@flushglue\z@ plus.3\hsize\relax
+ \centering
+ \advance\baselineskip\p@
+ \parskip11.5\p@\relax
+ \@flushglue\skip@
+}%
+\def\frontmatter@above@affilgroup{%
+}%
+\def\frontmatter@above@affiliation@script{%
+ \skip@\@flushglue
+ \@flushglue\z@ plus.3\hsize\relax
+ \centering
+ \@flushglue\skip@
+ \addvspace{3.5\p@}%
+}%
+\def\frontmatter@above@affiliation{%
+ \preprintsty@sw{}{%
+ }%
+}%
+\def\frontmatter@affiliationfont{%
+ \small\it
+}%
+\def\frontmatter@collaboration@above{%
+ \preprintsty@sw{%
+ }{%
+  \parskip1.5\p@\relax
+ }%
+}%
+\@ifxundefined\groupauthors@sw{%
+ \clo@groupedaddress
+}{}%
+\def\frontmatter@setup{%
+ \normalfont
+}%
+\def\frontmatter@title@above{\addvspace{6\p@}}%
+\def\frontmatter@title@format{\large\bfseries\centering\parskip\z@skip}%
+\def\frontmatter@title@below{}%
+\def\@author@parskip{3\p@}%
+\def\frontmatter@makefnmark{%
+ \@textsuperscript{%
+  \normalfont\@thefnmark
+ }%
+}%
+\def\frontmatter@authorbelow{%
+\addvspace{3\p@}%
+}%
+\def\frontmatter@RRAP@format{%
+  \small
+  \centering
+  \everypar{\hbox\bgroup(\@gobble@leavemode@uppercase}%
+  \def\par{\@ifvmode{}{\unskip)\egroup\@@par}}%
+}%
+\def\punct@RRAP{;\egroup\ \hbox\bgroup}%
+\def\@gobble@leavemode@uppercase#1#2{\expandafter\MakeTextUppercase}%
+\def\frontmatter@PACS@format{%
+   \addvspace{11\p@}%
+   \footnotesize
+   \adjust@abstractwidth
+   \parindent\z@
+   \parskip\z@skip
+   \samepage
+}%
+\def\frontmatter@keys@format{%
+   \footnotesize
+   \adjust@abstractwidth
+   \parindent\z@
+   \samepage
+}%
+\def\ps@titlepage{%
+  \def\@oddhead{%
+   \hfill
+   \produce@preprints\@preprint
+  }%
+  \let\@evenhead\@oddhead
+  \def\@oddfoot{%
+   \hb@xt@\z@{\byrevtex\hss}%
+   \hfil
+   \preprintsty@sw{\thepage}{}%
+   \quad\checkindate
+   \hfil
+  }%
+  \let\@evenfoot\@oddfoot
+}%
+\def\byrevtex{\byrevtex@sw{Typeset by REV\TeX}{}}%
+\def\produce@preprints#1{%
+ \preprint@sw{%
+  \vtop to \z@{%
+   \def\baselinestretch{1}%
+   \small
+   \let\preprint\preprint@count
+   \count@\z@#1\@ifnum{\count@>\tw@}{%
+    \hbox{%
+     \let\preprint\preprint@hlist
+     #1\setbox\z@\lastbox
+    }%
+   }{%
+    \let\preprint\preprint@cr
+    \halign{\hfil##\cr#1\crcr}%
+    \par
+    \vss
+   }%
+  }%
+ }{}%
+}%
+\def\preprint@cr#1{#1\cr}%
+\def\preprint@count#1{\advance\count@\@ne}%
+\def\preprint@hlist#1{#1\hbox{, }}%
+\def\@seccntformat#1{\csname the#1\endcsname.\quad}%
+\def\@hang@from#1#2#3{#1#2#3}%
+\def\section{%
+  \@startsection
+    {section}%
+    {1}%
+    {\z@}%
+    {0.8cm \@plus1ex \@minus .2ex}%
+    {0.5cm}%
+    {%
+      \normalfont\small\bfseries
+      \centering
+    }%
+}%
+\def\@hangfrom@section#1#2#3{\@hangfrom{#1#2}\MakeTextUppercase{#3}}%
+\def\subsection{%
+  \@startsection
+    {subsection}%
+    {2}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont\small\bfseries
+     \centering
+    }%
+}%
+\def\subsubsection{%
+  \@startsection
+    {subsubsection}%
+    {3}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont\small\itshape
+     \centering
+    }%
+}%
+\def\paragraph{%
+  \@startsection
+    {paragraph}%
+    {4}%
+    {\parindent}%
+    {\z@}%
+    {-1em}%
+    {\normalfont\normalsize\itshape}%
+}%
+\def\subparagraph{%
+  \@startsection
+    {subparagraph}%
+    {5}%
+    {\parindent}%
+    {3.25ex \@plus1ex \@minus .2ex}%
+    {-1em}%
+    {\normalfont\normalsize\bfseries}%
+}%
+\def\section@preprintsty{%
+  \@startsection
+    {section}%
+    {1}%
+    {\z@}%
+    {0.8cm \@plus1ex \@minus .2ex}%
+    {0.5cm}%
+    {%
+      \normalfont\small\bfseries
+    }%
+}%
+\def\subsection@preprintsty{%
+  \@startsection
+    {subsection}%
+    {2}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont\small\bfseries
+    }%
+}%
+\def\subsubsection@preprintsty{%
+  \@startsection
+    {subsubsection}%
+    {3}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont\small\itshape
+    }%
+}%
+ \@ifxundefined\frontmatter@footnote@produce{%
+  \let\frontmatter@footnote@produce\frontmatter@footnote@produce@endnote
+ }{}%
+\def\@pnumwidth{1.55em}
+\def\@tocrmarg {2.55em}
+\def\@dotsep{4.5pt}
+\setcounter{tocdepth}{3}
+\def\tableofcontents{%
+ \addtocontents{toc}{\string\tocdepth@munge}%
+ \print@toc{toc}%
+ \addtocontents{toc}{\string\tocdepth@restore}%
+}%
+\def\tocdepth@munge{%
+  \let\l@section@saved\l@section
+  \let\l@section\@gobble@tw@
+}%
+\def\@gobble@tw@#1#2{}%
+\def\tocdepth@restore{%
+  \let\l@section\l@section@saved
+}%
+\def\l@part#1#2{\addpenalty{\@secpenalty}%
+ \begingroup
+  \set@tocdim@pagenum{#2}%
+  \parindent \z@
+  \rightskip\tocleft@pagenum plus 1fil\relax
+  \skip@\parfillskip\parfillskip\z@
+  \addvspace{2.25em plus\p@}%
+  \large \bf %
+  \leavevmode\ignorespaces#1\unskip\nobreak\hskip\skip@
+  \hb@xt@\rightskip{\hfil\unhbox\z@}\hskip-\rightskip\hskip\z@skip
+  \par
+  \nobreak %
+ \endgroup
+}%
+\def\tocleft@{\z@}%
+\def\tocdim@min{5\p@}%
+\def\l@section{%
+ \l@@sections{}{section}% Implicit #3#4
+}%
+\def\l@f@section{%
+ \addpenalty{\@secpenalty}%
+ \addvspace{1.0em plus\p@}%
+ \bf
+}%
+\def\l@subsection{%
+ \l@@sections{section}{subsection}% Implicit #3#4
+}%
+\def\l@subsubsection{%
+ \l@@sections{subsection}{subsubsection}% Implicit #3#4
+}%
+\def\l@paragraph#1#2{}%
+\def\l@subparagraph#1#2{}%
+\let\toc@pre\toc@pre@auto
+\let\toc@post\toc@post@auto
+\def\listoffigures{\print@toc{lof}}%
+\def\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
+\def\listoftables{\print@toc{lot}}%
+\let\l@table\l@figure
+\appdef\class@documenthook{%
+ \@ifxundefined\raggedcolumn@sw{\@booleantrue\raggedcolumn@sw}{}%
+ \raggedcolumn@sw{\raggedbottom}{\flushbottom}%
+}%
+\def\tableft@skip@float{\z@ plus\hsize}%
+\def\tabmid@skip@float{\@flushglue}%
+\def\tabright@skip@float{\z@ plus\hsize}%
+\def\array@row@pre@float{\hline\hline\noalign{\vskip\doublerulesep}}%
+\def\array@row@pst@float{\noalign{\vskip\doublerulesep}\hline\hline}%
+\def\@makefntext#1{%
+ \def\baselinestretch{1}%
+ \reset@font
+ \footnotesize
+ \leftskip1em
+ \parindent1em
+ \noindent\nobreak\hskip-\leftskip
+ \hb@xt@\leftskip{%
+  \Hy@raisedlink{\hyper@anchorstart{footnote@\the\c@footnote}\hyper@anchorend}%
+  \hss\@makefnmark\
+ }%
+ #1%
+ \par
+}%
+\prepdef\appendix{%
+ \par
+ \let\@hangfrom@section\@hangfrom@appendix
+ \let\@hangfroms@section\@hangfroms@appendix
+ \let\@sectioncntformat\@appendixcntformat
+}%
+\def\@hangfrom@appendix#1#2#3{%
+ #1%
+ \@if@empty{#2}{%
+  #3%
+ }{%
+  #2\@if@empty{#3}{}{:\ #3}%
+ }%
+}%
+\def\@hangfroms@appendix#1#2{%
+ #1#2%
+}%
+\def\@appendixcntformat#1{\appendixname\ \csname the#1\endcsname}%
+ \bibpunct{[}{]}{,}{n}{}{,}%
+ \def\bibsection{%
+  \par
+  \onecolumngrid@push
+  \begingroup
+   \baselineskip26\p@
+   \bib@device{\textwidth}{245.5\p@}%
+ \endgroup
+  \nobreak\@nobreaktrue
+  \addvspace{19\p@}%
+  \par
+  \onecolumngrid@pop
+ }%
+\def\bib@device#1#2{%
+\hb@xt@#1{%
+ \hfil
+ \phantomsection
+  \addcontentsline {toc}{section}{\protect\numberline{}\refname}%
+ \hb@xt@#2{%
+  \skip@\z@\@plus-1fil\relax
+                        \leaders\hrule height.25 \p@ depth.25 \p@ \hskip\z@\@plus1fil
+\hskip\skip@
+\hskip\z@\@plus0.125fil\leaders\hrule height.375\p@ depth.375\p@ \hskip\z@\@plus0.75fil \hskip\z@\@plus0.125fil
+\hskip\skip@
+\hskip\z@\@plus0.25 fil\leaders\hrule height.5  \p@ depth.5  \p@ \hskip\z@\@plus0.5 fil \hskip\z@\@plus0.25 fil
+\hskip\skip@
+\hskip\z@\@plus0.375fil\leaders\hrule height.625\p@ depth.625\p@ \hskip\z@\@plus0.25fil \hskip\z@\@plus0.375fil
+ }%
+\hfil
+}%
+}%
+\let\bibpreamble\@empty
+\bibsep\z@\relax
+\def\newblock{\ }%
+ \def\bibfont{%
+  \small
+ }%
+\newenvironment{theindex}{%
+ \columnseprule \z@
+ \columnsep 35\p@
+ \c@secnumdepth-\maxdimen
+ \onecolumngrid@push
+ \section{\indexname}%
+ \thispagestyle{plain}%
+ \parindent\z@
+ \parskip\z@ plus.3\p@\relax
+ \let\item\@idxitem
+ \onecolumngrid@pop
+}{%
+}%
+\def\@idxitem{\par\hangindent 40\p@}
+\def\subitem{\par\hangindent 40\p@ \hspace*{20\p@}}
+\def\subsubitem{\par\hangindent 40\p@ \hspace*{30\p@}}
+\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}
+\def\journal@pra{pra}%
+\def\journal@prb{prb}%
+\def\journal@prc{prc}%
+\def\journal@prd{prd}%
+\def\journal@pre{pre}%
+\def\journal@prl{prl}%
+\def\journal@prstab{prstab}%
+\def\journal@rmp{rmp}%
+\@ifx{\@journal\journal@pra}{%
+}{}%
+\@ifx{\@journal\journal@prb}{%
+ \@ifxundefined\bibnotes@sw{\@booleantrue\bibnotes@sw}{}%
+ \bibpunct{}{}{,}{s}{}{\textsuperscript{,}}%
+ \def\@onlinecite#1{\begingroup\let\@cite\NAT@citenum\citealp{#1}\endgroup}%
+ \appdef\class@documenthook{%
+  \@ifxundefined\place@bibnumber{%
+   \let\place@bibnumber\place@bibnumber@sup
+  }{}%
+ }%
+}{}%
+\@ifx{\@journal\journal@prc}{%
+}{}%
+\@ifx{\@journal\journal@prd}{%
+}{}%
+\@ifx{\@journal\journal@pre}{%
+}{}%
+\@ifx{\@journal\journal@prl}{%
+ \@ifxundefined\bibnotes@sw{\@booleantrue\bibnotes@sw}{}%
+ \@booleanfalse\acknowledgments@sw
+ \def\bibsection{%
+  \par
+  \begingroup
+   \baselineskip26\p@
+   \bib@device{\hsize}{72\p@}%
+ \endgroup
+  \nobreak\@nobreaktrue
+  \addvspace{19\p@}%
+ }%
+ \@ifxundefined\lengthcheck@sw{\@booleanfalse\lengthcheck@sw}{}%
+  \lengthcheck@sw{%
+   \RequirePackage{times}%
+  }{%
+  }%
+ \c@secnumdepth=-\maxdimen
+ \appdef\set@typesize@hook{%
+  \@ifnum{\@pointsize=10\relax}{%
+   \lengthcheck@sw{%
+    \def\large{%
+     \@setfontsize\large{12.5}{14\p@}%
+    }%
+    \def\normalsize{%
+     \@setfontsize\normalsize{10.5}\@xiipt
+     \abovedisplayskip 6\p@ \@plus6\p@ \@minus5\p@
+     \belowdisplayskip \abovedisplayskip
+     \abovedisplayshortskip  \abovedisplayskip
+     \belowdisplayshortskip \abovedisplayskip
+     \let\@listi\@listI
+    }%
+    \def\small{%
+     \@setfontsize\small{9.5}\@xipt
+     \abovedisplayskip 5\p@ \@plus5\p@ \@minus4\p@
+     \belowdisplayskip \abovedisplayskip
+     \abovedisplayshortskip  \abovedisplayskip
+     \belowdisplayshortskip \abovedisplayskip
+     \let\@listi\@listI
+    }%
+    \DeclareMathSizes{12.5}{12.5}{9}{6}%
+    \DeclareMathSizes{10.5}{10.5}{7.5}{5}%
+    \DeclareMathSizes{9.5}{9.5}{7.0}{5}%
+   }{%
+    \def\normalsize{%
+     \@setfontsize\normalsize\@xpt\@xiipt
+     \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\p@
+     \belowdisplayskip \abovedisplayskip
+     \abovedisplayshortskip  \abovedisplayskip
+     \belowdisplayshortskip \abovedisplayskip
+     \let\@listi\@listI
+    }%
+   }%
+  }{}%
+ }%
+  \@ifnum{\@pointsize=10\relax}{%
+   \textheight = 694.0\p@
+  }{}%
+}{}%
+\@ifx{\@journal\journal@prstab}{%
+}{}%
+\@ifx{\@journal\journal@rmp}{\input{\@journal\substyle@ext}}{}%
+\@ifxundefined\footinbib@sw{\@booleantrue\footinbib@sw}{}%
+\appdef\class@documenthook{%
+ \@ifxundefined\place@bibnumber{%
+  \let\place@bibnumber\place@bibnumber@inl
+ }{}%
+ \@ifxundefined\@bibstyle{%
+  \def\@bibstyle{apsrev}%
+ }{}%
+}%
+\endinput
+%%
+%% End of file `aps.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/docs.sty b/Master/texmf-dist/tex/latex/revtex/docs.sty
new file mode 100644
index 00000000000..f401506cb63
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/docs.sty
@@ -0,0 +1,129 @@
+% authguide.rty - macros for processing revguide.tex under \documentclass{revtex4}
+% Text entities
+\DeclareRobustCommand\SNG{\emph{Physical Review Style and Notation Guide}}
+\DeclareRobustCommand\LUG{\emph{\LaTeX{} User's Guide \& Reference Manual}}
+\DeclareRobustCommand\revtex{REV\TeX}
+\DeclareRobustCommand\marglat{\marginpar[\textbf{2e}]{\textbf{2e}}} 
+\DeclareRobustCommand\margrev{\marginpar[\textbf{4}]{\textbf{4}}} 
+\DeclareRobustCommand\AmS{%
+ {\protect\the\textfont\tw@ A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}%
+}%
+\DeclareRobustCommand\AmSLaTeX{\AmS-\LaTeX}
+\DeclareRobustCommand\BibTeX{{\rm B}{\sc ib}\TeX}
+%
+% Various forms of self-indexing commands:
+%    \begin{macrocode}
+\DeclareRobustCommand{\m}[1]{%
+ \meta{#1}%
+ \index{#1=\string\meta{#1} placeholder}\index{placeholder>#1=\string\meta{#1}}%
+}%
+\DeclareRobustCommand\meta[1]{%
+ \mbox{\m@th\LANGLE\itshape#1\/\RANGLE}%
+}%
+\def\LANGLE{$\langle$}%
+\def\RANGLE{$\rangle$}%
+\DeclareRobustCommand{\marg}[1]{%
+ {\ttfamily\string{}\meta{#1}{\ttfamily\string}}%
+ \index{#1=\string\ttt{#1}, argument}\index{argument>#1=\string\ttt{#1}}%
+}%
+\DeclareRobustCommand{\aarg}[1]{%
+ {\ttfamily\string{}#1{\ttfamily\string}}%
+}%
+\let\oarg\undefined
+\DeclareRobustCommand{\oarg}[1]{%
+ {\ttfamily[%]
+  }\meta{#1}{\ttfamily%[
+ ]}%
+ \index{#1=\string\ttt{#1}, optional argument}%
+ \index{argument, optional>#1=\string\ttt{#1}}%
+}%
+\DeclareRobustCommand\cmd{\begingroup\makeatletter\@cmd}%
+\long\def\@cmd#1{%
+ \endgroup
+ \cs{\expandafter\cmd@to@cs\string#1}%
+ \expandafter\cmd@to@index\string#1\@nil
+}%
+\def\cmd@to@cs#1#2{\char\number`#2\relax}%
+\def\cmd@to@index#1#2\@nil{%
+ \index{#2=\string\cmd#1#2}%\index{command>#2=\string\cmd#1#2}%
+}%
+\DeclareRobustCommand\cs[1]{{\ttfamily\char`\\#1}}%
+\def\scmd#1{%
+ \cs{\expandafter\cmd@to@cs\string#1}%
+ \expandafter\scmd@to@index\string#1\@nil
+}%
+\def\scmd@to@index#1#2\@nil#3{%
+ \index{\string$#3=\string\cmd#1#2---#3}%
+%\index{command>\string$#3=\string\cmd#1#2---#3}%
+}%
+\DeclareRobustCommand\env{\name@idx{environment}}%
+\DeclareRobustCommand\envb[1]{%
+ {\ttfamily\string\begin\string{}\env{#1}{\ttfamily\string}}%
+}%
+\DeclareRobustCommand\enve[1]{{\ttfamily\string\end\string{}\env{#1}{\ttfamily\string}}}%
+\DeclareRobustCommand*{\file}[1]{%
+ {\ttfamily#1}%
+ \index{#1=\string\ttt{#1}}\index{file>#1=\string\ttt{#1}}%
+}%
+\DeclareRobustCommand\substyle{\name@idx{document substyle}}%
+\DeclareRobustCommand\classoption{\name@idx{document class option}}%
+\DeclareRobustCommand\classname{\name@idx{document class}}%
+\def\name@idx#1#2{%
+ {\ttfamily#2}%
+ \index{#2\space#1=\string\ttt{#2}\space#1}\index{#1>#2=\string\ttt{#2}}%
+}%
+%
+% Needed for index:
+%
+\def\ttt{\texttt}%
+\def\pfill{\ }%
+\def\efill{\ }%
+\let\scan@allowedfalse\relax
+%\makeindex
+\AtEndDocument{\@input@{\jobname.ind}\null}%
+%
+% Processing options
+%
+%
+% Layout: override revtex4|aps
+\c@secnumdepth2
+\prepdef\@verbatim{\topsep.5\baselineskip}%
+\renewenvironment{quotation}{%
+ \list{}{%
+    \listparindent 10\p@
+    \itemindent\listparindent
+    \leftmargin10\p@
+    \rightmargin\leftmargin
+    \parsep \z@ \@plus\p@
+    \small
+ }%
+ \item[]%
+}{%
+ \endlist
+}%
+\renewenvironment{quote}{%
+ \list{}{%
+  \leftmargin\z@
+  \rightmargin\leftmargin
+ }\item[]%
+}{%
+ \endlist
+}%
+\leftmargini\parindent
+\def\descriptionlabel#1{%
+  \hspace\labelsep\ignorespaces
+  #1\unskip
+}%
+\def\toprule{\hline\hline\frstrut}%
+\def\colrule{\hline\frstrut}%
+\def\frstrut{\vrule height2.5ex width\z@ depth\z@\relax}%
+\def\lrstrut{\vrule height\z@ width\z@ depth.5ex\relax}%
+%
+% Klootches
+%
+\let\savenofiles\nofiles
+%
+% Patches:
+%
+%
+\endinput
diff --git a/Master/texmf-dist/tex/latex/revtex/revsymb.sty b/Master/texmf-dist/tex/latex/revtex/revsymb.sty
new file mode 100644
index 00000000000..b60cbb46b3b
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/revsymb.sty
@@ -0,0 +1,157 @@
+%%
+%% This is file `revsymb.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4.dtx  (with options: `revsymb')
+%% 
+%% This file is part of the APS files in the REVTeX 4 distribution.
+%% For the version number, search on the string 
+%% Original version by David Carlisle
+%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% 
+%% Copyright (c) 1999 The American Physical Society.
+%% http://publish.aps.org/revtex4/
+%% mailto:revtex4@aps.org
+%% 
+%% See the REVTeX 4 README file for restrictions and more information.
+%% 
+\ProvidesPackage{revsymb}
+          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\def\REVSYMB@warn#1{\PackageWarningNoLine{revsymb}{#1}}%
+\DeclareRobustCommand\lambdabar{%
+  \bgroup
+    \def\@tempa{%
+      \hbox{%
+        \raise.73\ht\z@
+        \hb@xt@\z@{%
+          \kern.25\wd\z@
+          \vrule \@width.5\wd\z@\@height.1\p@\@depth.1\p@
+          \hss
+        }%
+        \box\z@
+      }%
+    }%
+    \mathchoice
+      {\setbox\z@\hbox{$\displaystyle     \lambda$}\@tempa}%
+      {\setbox\z@\hbox{$\textstyle        \lambda$}\@tempa}%
+      {\setbox\z@\hbox{$\scriptstyle      \lambda$}\@tempa}%
+      {\setbox\z@\hbox{$\scriptscriptstyle\lambda$}\@tempa}%
+  \egroup
+}%
+\DeclareRobustCommand\openone{\leavevmode\hbox{\small1\normalsize\kern-.33em1}}%
+\DeclareRobustCommand\corresponds{\replace@command\corresponds\triangleq}%
+\DeclareRobustCommand\overcirc{\replace@command\overcirc\mathring}%
+\DeclareRobustCommand\overdots{\replace@command\overdots\dddot}%
+\DeclareRobustCommand\REV@triangleq{%
+ {\lower.2ex\hbox{=}}{\kern-.75em^\triangle}%
+}%
+\DeclareRobustCommand\REV@dddot[1]{%
+ \@ontopof{#1}{\cdots}{1.0}\mathord{\box2}%
+}%
+\DeclareRobustCommand\altsuccsim{\succ\kern-.9em_\sim\kern.3em}%
+\DeclareRobustCommand\altprecsim{\prec\kern-1em_\sim\kern.3em}%
+\let\REV@succsim\altsuccsim
+\let\REV@precsim\altprecsim
+\DeclareRobustCommand\REV@lesssim{\mathrel{\mathpalette\vereq{<}}}%
+\DeclareRobustCommand\REV@gtrsim{\mathrel{\mathpalette\vereq{>}}}%
+\DeclareRobustCommand\alt{\lesssim}
+\DeclareRobustCommand\agt{\gtrsim}
+\def\vereq#1#2{%
+ \lower3\p@\vbox{%
+  \baselineskip1.5\p@
+  \lineskip1.5\p@
+  \ialign{$\m@th#1\hfill##\hfil$\crcr#2\crcr\sim\crcr}%
+ }%
+}%
+\DeclareRobustCommand\tensor[1]{\@ontopof{#1}{\leftrightarrow}{1.15}\mathord{\box2}}
+\DeclareRobustCommand\overstar[1]{\@ontopof{#1}{\ast}{1.15}\mathord{\box2}}
+\DeclareRobustCommand\loarrow[1]{\@ontopof{#1}{\leftarrow}{1.15}\mathord{\box2}}
+\DeclareRobustCommand\roarrow[1]{\@ontopof{#1}{\rightarrow}{1.15}\mathord{\box2}}
+\def\@ontopof#1#2#3{%
+ {%
+  \mathchoice
+    {\@@ontopof{#1}{#2}{#3}\displaystyle     \scriptstyle      }%
+    {\@@ontopof{#1}{#2}{#3}\textstyle        \scriptstyle      }%
+    {\@@ontopof{#1}{#2}{#3}\scriptstyle      \scriptscriptstyle}%
+    {\@@ontopof{#1}{#2}{#3}\scriptscriptstyle\scriptscriptstyle}%
+ }%
+}%
+\def\@@ontopof#1#2#3#4#5{%
+  \setbox\z@\hbox{$#4#1$}%
+  \setbox\f@ur\hbox{$#5#2$}%
+  \setbox\tw@\null\ht\tw@\ht\z@ \dp\tw@\dp\z@
+  \@ifdim{\wd\z@>\wd\f@ur}{%
+    \setbox\f@ur\hb@xt@\wd\z@{\hss\box\f@ur\hss}%
+    \mathord{\rlap{\raise#3\ht\z@\box\f@ur}\box\z@}%
+  }{%
+    \setbox\f@ur\hb@xt@.9\wd\f@ur{\hss\box\f@ur\hss}%
+    \setbox\z@\hb@xt@\wd\f@ur{\hss$#4\relax#1$\hss}%
+    \mathord{\rlap{\copy\z@}\raise#3\ht\z@\box\f@ur}%
+  }%
+}%
+\DeclareRobustCommand\frak{%
+ \REVSYMB@warn{%
+  Command \string\frak\space unsupported:^^J%
+  please use \string\mathfrak\space instead.%
+ }%
+ \global\let\frak\mathfrak
+ \frak
+}%
+\DeclareRobustCommand\REV@mathfrak{%
+ \REVSYMB@warn{%
+  Command \string\mathfrak\space undefined:^^J%
+  please specify the amsfonts or amssymb option!%
+ }%
+ \global\let\mathfrak\@firstofone
+ \mathfrak
+}%
+\DeclareRobustCommand\Bbb{%
+ \REVSYMB@warn{%
+  Command \string\Bbb\space unsupported:^^J%
+  please use \string\mathbb\space instead.%
+ }%
+ \global\let\Bbb\mathbb
+ \Bbb
+}%
+\DeclareRobustCommand\REV@mathfrak{%
+ \REVSYMB@warn{%
+  Command \string\mathbb\space undefined:^^J%
+  please specify the amsfonts or amssymb option!%
+ }%
+ \global\let\mathbb\@firstofone
+ \mathbb
+}%
+\def\Bigglb{\REV@boldopen \Bigg}%
+\def\Biglb {\REV@boldopen \Big }%
+\def\bigglb{\REV@boldopen \bigg}%
+\def\biglb {\REV@boldopen \big }%
+\def\Biggrb{\REV@boldclose\Bigg}%
+\def\Bigrb {\REV@boldclose\Big }%
+\def\biggrb{\REV@boldclose\bigg}%
+\def\bigrb {\REV@boldclose\big }%
+\def\REV@pmb#1{%
+ \hbox{%
+  \setbox\z@=\hbox{#1}%
+  \kern-.02em\copy\z@\kern-\wd\z@
+  \kern .04em\copy\z@\kern-\wd\z@
+  \kern-.02em
+  \raise.04em\copy\z@
+ }%
+}%
+\def\REV@boldopen #1#2{\mathopen {\REV@pmb{$#1#2$}}}%
+\def\REV@boldclose#1#2{\mathclose{\REV@pmb{$#1#2$}}}%
+\def\revsymb@inithook{%
+ \@ifxundefined\dddot{\let\dddot\REV@dddot}{}%
+ \@ifxundefined\triangleq{\let\triangleq\REV@triangleq}{}%
+ \@ifxundefined\succsim{\let\succsim\altsuccsim}{}%
+ \@ifxundefined\precsim{\let\precsim\altprecsim}{}%
+ \@ifxundefined\lesssim{\let\lesssim\REV@lesssim}{}%
+ \@ifxundefined\gtrsim {\let\gtrsim \REV@gtrsim }{}%
+ \@ifxundefined\mathfrak{\let\mathfrak\REV@mathfrak}{}%
+ \@ifxundefined\mathbb{\let\mathbb\REV@mathbb}{}%
+}%
+\endinput
+%%
+%% End of file `revsymb.sty'.
diff --git a/Master/texmf-dist/tex/latex/revtex/revtex4.cls b/Master/texmf-dist/tex/latex/revtex/revtex4.cls
new file mode 100644
index 00000000000..854db7169ae
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/revtex4.cls
@@ -0,0 +1,6020 @@
+%%
+%% This is file `revtex4.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4.dtx  (with options: `class-pre')
+%% ltxutil.dtx  (with options: `ltxutil-krn')
+%% ltxgrid.dtx  (with options: `ltxgrid-krn')
+%% textcase.dtx  (with options: `package')
+%% revtex4.dtx  (with options: `class-pst')
+%% 
+%% This file is part of the APS files in the REVTeX 4 distribution.
+%% For the version number, search on the string 
+%% Original version by David Carlisle
+%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% 
+%% Copyright (c) 1999 The American Physical Society.
+%% http://publish.aps.org/revtex4/
+%% mailto:revtex4@aps.org
+%% 
+%% See the REVTeX 4 README file for restrictions and more information.
+%% 
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]
+\ProvidesClass{revtex4}
+          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\def\class@name{revtex4}%
+\GenericInfo{}{\space
+ Copyright (c) 2001 The American Physical Society.^^J
+ mailto:revtex@aps.org^^J
+ Licensed under the LPPL:^^Jhttp://www.ctan.org/tex-archive/macros/latex/base/lppl.txt^^J
+ Arthur Ogawa <ogawa@teleport.com>^^J
+ Based on work by David Carlisle <david@dcarlisle.demon.co.uk>%
+ \@gobble
+}%
+\if@compatibility
+  \edef\reserved@a{\errhelp{%
+   Change your \string\documentstyle\space statement to
+   \string\documentclass\space and rerun.
+  }}\reserved@a
+  \errmessage{You cannot run \class@name\space in compatability mode}%
+  \expandafter\@@end
+\fi
+\let\DeclareOption@latex\DeclareOption
+\let\DeclareOption\@gobbletwo
+\let\ProcessOptions@latex\ProcessOptions
+\let\ProcessOptions\@empty
+\let\ProvidesPackage@latex\ProvidesPackage
+\def\ProvidesPackage#1[#2]{%
+ \class@info{Incorporating package #1 [#2].}%
+}%
+\typeout{%
+ ltxutil: portions licensed from W. E. Baxter (web@superscript.com)%
+}%
+\def\class@err#1{\ClassError{\class@name}{#1}\@eha}%
+\def\class@warn#1{\ClassWarningNoLine{\class@name}{#1}}%
+\def\class@info#1{\ClassInfo{\class@name}{#1}}%
+\def\obsolete@command#1{%
+ \class@warn@end{Command \string#1\space is obsolete.^^JPlease remove from your document}%
+ \global\let#1\@empty
+ #1%
+}%
+\def\replace@command#1#2{%
+ \class@warn@end{Command \string#1\space is obsolete;^^JUse \string#2\space instead}%
+ \global\let#1#2%
+ #1%
+}%
+\def\replace@environment#1#2{%
+ \class@warn@end{Environment #1 is obsolete;^^JUse #2 instead}%
+ \glet@environment{#1}{#2}%
+ \@nameuse{#1}%
+}%
+\def\incompatible@package#1{%
+ \@ifpackageloaded{#1}{%
+  \def\@tempa{I cannot continue. You must remove the \string\usepackage\ statement that caused that package to be loaded.}%
+  \ClassError{\class@name}{The #1 package cannot be used with \class@name}%
+  \@tempa\stop
+ }{%
+  \class@info{#1 was not loaded (OK!)}%
+ }%
+}%
+\def\class@warn@end#1{%
+ \gappdef\class@enddocumenthook{\class@warn{#1}}%
+}%
+\AtEndOfClass{%
+ \@ifxundefined\class@name{\def\class@name{Generic Class}}{}%
+}%
+\def\t@{to}%
+\dimendef\dimen@iii\thr@@
+\def\halignt@{\halign\t@}%
+\chardef\f@ur=4\relax
+\chardef\cat@letter=11\relax
+\chardef\other=12\relax
+\def\let@environment#1#2{%
+ \expandafter\let
+ \csname#1\expandafter\endcsname\csname#2\endcsname
+ \expandafter\let
+ \csname end#1\expandafter\endcsname\csname end#2\endcsname
+}%
+\def\glet@environment#1#2{%
+ \global\expandafter\let
+ \csname#1\expandafter\endcsname\csname#2\endcsname
+ \global\expandafter\let
+ \csname end#1\expandafter\endcsname\csname end#2\endcsname
+}%
+\newcommand\tracingplain{%
+ \tracingonline\z@\tracingcommands\z@\tracingstats\z@
+ \tracingpages\z@\tracingoutput\z@\tracinglostchars\@ne
+ \tracingmacros\z@\tracingparagraphs\z@\tracingrestores\z@
+ \showboxbreadth5\showboxdepth3\relax %\errorstopmode
+ }%
+\newcommand\traceoutput{%
+ \appdef\@resetactivechars{\showoutput}%
+}%
+\newcommand\say[1]{\typeout{<\noexpand#1=\meaning#1>}}%
+\newcommand\saythe[1]{\typeout{<\noexpand#1=\the#1>}}%
+\def\fullinterlineskip{\prevdepth\z@}%
+\countdef\count@i\@ne
+\countdef\count@ii\tw@
+\long\def\prepdef#1#2{%
+ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}}%
+ \toks@ii{#2}%
+ \edef#1{\the\toks@ii\the\toks@}%
+}%
+\long\def\appdef#1#2{%
+ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}}%
+ \toks@ii{#2}%
+ \edef#1{\the\toks@\the\toks@ii}%
+}%
+\long\def\gappdef#1#2{%
+ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}}%
+ \toks@ii{#2}%
+ \global\edef#1{\the\toks@\the\toks@ii}%
+}%
+\long\def\appdef@val#1#2{%
+ \appdef#1{{#2}}%
+}%
+\long\def\appdef@e#1#2{%
+ \expandafter\appdef
+ \expandafter#1%
+ \expandafter{#2}%
+}%
+\long\def\appdef@eval#1#2{%
+ \expandafter\appdef@val
+ \expandafter#1%
+ \expandafter{#2}%
+}%
+\toksdef\toks@ii=\tw@
+\long\def\@ifxundefined#1{\@ifx{\undefined#1}}%
+\long\def\@ifnotrelax#1#2#3{\@ifx{\relax#1}{#3}{#2}}%
+\long\def\@argswap#1#2{#2#1}%
+\long\def\@argswap@val#1#2{#2{#1}}%
+\def\@ifxundefined@cs#1{\expandafter\@ifx\expandafter{\csname#1\endcsname\relax}}%
+\def\@boolean#1#2{%
+  \long\def#1{%
+    #2% \if<something>
+      \expandafter\true@sw
+    \else
+      \expandafter\false@sw
+    \fi
+  }%
+}%
+\def\@boole@def#1#{\@boolean{#1}}% Implicit #2
+\def\@booleantrue#1{\let#1\true@sw}%
+\def\@booleanfalse#1{\let#1\false@sw}%
+\@boole@def\@ifx#1{\ifx#1}%
+\@boole@def\@ifx@empty#1{\ifx\@empty#1}%
+\@boole@def\@if@empty#1{\if!#1!}%
+\def\@if@sw#1#2{#1\expandafter\true@sw\else\expandafter\false@sw#2}%
+\@boole@def\@ifdim#1{\ifdim#1}%
+\@boole@def\@ifeof#1{\ifeof#1}%
+\@boole@def\@ifhbox#1{\ifhbox#1}%
+\@boole@def\@ifhmode{\ifhmode}%
+\@boole@def\@ifinner{\ifinner}%
+\@boole@def\@ifmmode{\ifmmode}%
+\@boole@def\@ifnum#1{\ifnum#1}%
+\@boole@def\@ifodd#1{\ifodd#1}%
+\@boole@def\@ifvbox#1{\ifvbox#1}%
+\@boole@def\@ifvmode{\ifvmode}%
+\@boole@def\@ifvoid#1{\ifvoid#1}%
+\long\def\true@sw#1#2{#1}%
+\long\def\false@sw#1#2{#2}%
+\long\def\loopuntil#1{#1{}{\loopuntil{#1}}}%
+\long\def\loopwhile#1{#1{\loopwhile{#1}}{}}%
+\def\@provide#1{%
+ \@ifx{\undefined#1}{\true@sw}{\@ifx{\relax#1}{\true@sw}{\false@sw}}%
+ {\def#1}{\def\j@nk}%
+}%
+\prepdef\document{%
+ \endgroup
+ \init@documenthook
+ \set@typesize@hook
+ \normalsize
+ \set@pica@hook
+ \true@sw{}%
+}%
+\def\init@documenthook{}%
+\AtBeginDocument{%
+ \class@documenthook
+}%
+\AtEndDocument{%
+ \class@enddocumenthook
+}%
+\def\class@documenthook{}%
+\def\class@enddocumenthook{}%
+\def\set@typesize@hook{}%
+\def\set@pica@hook{}%
+\def\enddocument{%
+ \@enddocumenthook
+ \@checkend{document}%
+ \clear@document
+ \check@aux
+ \deadcycles\z@
+ \@@end
+}%
+\def\clear@document{\clearpage}%
+\def\check@aux{\do@check@aux}%
+\def\do@check@aux{%
+ \@if@sw\if@filesw\fi{%
+  \immediate\closeout\@mainaux
+  \let\@setckpt\@gobbletwo
+  \let\@newl@bel\@testdef
+  \@tempswafalse
+  \makeatletter
+  \input\jobname.aux\relax
+ }{}%
+ \@dofilelist
+ \@ifdim{\font@submax >\fontsubfuzz\relax}{%
+  \@font@warning{%
+   Size substitutions with differences\MessageBreak
+   up to \font@submax\space have occured.\@gobbletwo
+  }%
+ }{}%
+ \@defaultsubs
+ \@refundefined
+ \@if@sw\if@filesw\fi{%
+  \@ifx{\@multiplelabels\relax}{%
+   \@if@sw\if@tempswa\fi{%
+    \@latex@warning@no@line{%
+     Label(s) may have changed.
+     Rerun to get cross-references right
+    }%
+   }{}%
+  }{%
+    \@multiplelabels
+  }%
+ }{}%
+}%
+\def\flushing{%
+  \let\\\@normalcr
+  \leftskip\z@skip
+  \rightskip\z@skip
+  \@rightskip\z@skip
+  \parfillskip\@flushglue
+}%
+\def\eqnarray@LaTeX{%
+   \stepcounter{equation}%
+   \def\@currentlabel{\p@equation\theequation}%
+   \global\@eqnswtrue
+   \m@th
+   \global\@eqcnt\z@
+   \tabskip\@centering
+   \let\\\@eqncr
+   $$\everycr{}\halign\t@\displaywidth\bgroup
+       \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
+      &\global\@eqcnt\@ne\hskip \tw@\arraycolsep \hfil${##}$\hfil
+      &\global\@eqcnt\tw@ \hskip \tw@\arraycolsep
+         $\displaystyle{##}$\hfil\tabskip\@centering
+      &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup
+         \tabskip\z@skip
+      \cr
+}
+\long\def\eqnarray@fleqn@fixed{%
+ \stepcounter{equation}\def\@currentlabel{\p@equation\theequation}%
+ \global\@eqnswtrue\m@th\global\@eqcnt\z@
+ \tabskip\mathindent
+ \let\\=\@eqncr
+ \setlength\abovedisplayskip{\topsep}%
+ \ifvmode\addtolength\abovedisplayskip{\partopsep}\fi
+ \addtolength\abovedisplayskip{\parskip}%
+ \setlength\belowdisplayskip{\abovedisplayskip}%
+ \setlength\belowdisplayshortskip{\abovedisplayskip}%
+ \setlength\abovedisplayshortskip{\abovedisplayskip}%
+ $$%
+ \everycr{}%
+ \halignt@\linewidth\bgroup
+  \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
+  &\global\@eqcnt\@ne
+   \hskip\tw@\eqncolsep
+   \hfil${{}##{}}$\hfil
+  &\global\@eqcnt\tw@
+   \hskip\tw@\eqncolsep
+   $\displaystyle{##}$\hfil\tabskip\@centering
+  &\global\@eqcnt\thr@@\hb@xt@\z@\bgroup\hss##\egroup
+   \tabskip\z@skip
+  \cr
+}%
+\@ifx{\eqnarray\eqnarray@LaTeX}{%
+ \class@info{Repairing broken LaTeX eqnarray}%
+ \let\eqnarray\eqnarray@fleqn@fixed
+ \newlength\eqncolsep
+ \setlength\eqncolsep\z@
+ \let\eqnarray@LaTeX\relax
+ \let\eqnarray@fleqn@fixed\relax
+}{}%
+\def\mathindent{\@centering}%
+\def\set@eqnarray@skips{}%
+\def\footnote{%
+ \@ifnextchar[\@xfootnote{\@yfootnote\@footnotetext}%
+}%
+\def\footnotemark{%
+ \@ifnextchar[\@xfootnotemark{\@yfootnote}%
+}%
+\def\@xfootnote[#1]{%
+ \@xfootnotemark[#1]%
+ \@footnotetext
+}%
+\def\@xfootnotemark@ltx[#1]{%
+ \begingroup
+   \csname c@\@mpfn\endcsname #1\relax
+   \unrestored@protected@xdef\@thefnmark{\thempfn}%
+ \endgroup
+ \H@@footnotemark
+}%
+\def\@yfootnote{%
+ \stepcounter\@mpfn
+ \protected@xdef\@thefnmark{\thempfn}%
+ \H@@footnotemark
+}%
+\appdef\class@documenthook{%
+ \@ifxundefined\H@@footnotemark{%
+  \let\H@@footnotemark\@footnotemark
+ }{}%
+ \let\@xfootnotemark\@xfootnotemark@ltx
+}%
+\long\def\@footnotetext{%
+ \insert\footins\bgroup
+  \make@footnotetext
+}%
+\long\def\@mpfootnotetext{%
+ \minipagefootnote@pick
+  \make@footnotetext
+}%
+\def\make@footnotetext#1{%
+  \reset@font\footnotesize
+  \interlinepenalty\interfootnotelinepenalty
+  \splittopskip\footnotesep
+  \splitmaxdepth\dp\strutbox
+  \set@footnotewidth
+  \@parboxrestore
+  \protected@edef\@currentlabel{%
+   \csname p@footnote\endcsname\@thefnmark
+  }%
+  \color@begingroup
+   \@makefntext{%
+    \rule\z@\footnotesep\ignorespaces#1\@finalstrut\strutbox
+   }%
+  \color@endgroup
+ \minipagefootnote@drop
+}%
+\def\set@footnotewidth{%
+ \hsize\columnwidth
+ \linewidth\hsize
+}%
+\def\set@footnotewidth@ii{%
+ \hsize\textwidth
+ \advance\hsize\columnsep
+ \divide\hsize\tw@
+ \advance\hsize-\columnsep
+ \linewidth\hsize
+}%
+\def\addtocontents#1#2{%
+ \protected@write\@auxout{%
+  \let \label \@gobble \let \index \@gobble \let \glossary \@gobble
+  \def\({\string\(}%
+  \def\){\string\)}%
+  \def\\{\string\\}%
+ }{\string \@writefile {#1}{#2}}%
+}%
+\def\addcontentsline#1#2#3{%
+ \addtocontents{#1}{%
+  \protect\contentsline{#2}{#3}{\thepage}{}%
+ }%
+}%
+\def\contentsline#1#2#3#4{%
+ \csname l@#1\endcsname{#2}{#3}%
+}%
+\def\label#1{%
+ \@bsphack
+  \protected@write\@auxout{}{%
+   \string\newlabel{#1}{{\@currentlabel}{\thepage}{}{}{}}%
+  }%
+ \@esphack
+}%
+\appdef\class@documenthook{%
+ \prepdef\caption{\minipagefootnote@here}%
+}%
+\def\minipagefootnote@init{%
+ \setbox\@mpfootins\box\voidb@x
+}%
+\def\minipagefootnote@pick{%
+ \global\setbox\@mpfootins\vbox\bgroup
+  \unvbox\@mpfootins
+}%
+\def\minipagefootnote@drop{%
+ \egroup
+}%
+\def\minipagefootnote@here{%
+    \par
+    \@ifvoid\@mpfootins{}{%
+      \vskip\skip\@mpfootins
+      \fullinterlineskip
+      \@ifinner{%
+       \vtop{\unvcopy\@mpfootins}%
+       {\setbox\z@\lastbox}%
+      }{}%
+      \unvbox\@mpfootins
+    }%
+}%
+\def\minipagefootnote@foot{%
+ \@ifvoid\@mpfootins{}{%
+  \insert\footins\bgroup\unvbox\@mpfootins\egroup
+ }%
+}%
+\def\endminipage{%
+    \par
+    \unskip
+    \minipagefootnote@here
+    \@minipagefalse   %% added 24 May 89
+  \color@endgroup
+  \egroup
+  \expandafter\@iiiparbox\@mpargs{\unvbox\@tempboxa}%
+}%
+\let\@xfloat@LaTeX\@xfloat
+\def\@xfloat#1[#2]{%
+  \@xfloat@prep
+  \@nameuse{fp@proc@#2}%
+  \@ifxundefined\floats@sw{\global\@booleantrue\floats@sw}{}%
+  \floats@sw{\@xfloat@LaTeX{#1}[#2]}{\@xfloat@anchored{#1}[]}%
+}%
+\def\@xfloat@prep{%
+  \let\footnote\footnote@latex
+  \def\@mpfn{mpfootnote}%
+  \def\thempfn{\thempfootnote}%
+  \c@mpfootnote\z@
+  \let\@footnotetext\@mpfootnotetext
+  \let\H@@footnotetext\@mpfootnotetext
+  \let\@makefntext\@mpmakefntext
+}%
+\appdef\class@documenthook{%
+ \let\footnote@latex\footnote
+}%
+\def\@xfloat@anchored#1[#2]{%
+ \def\@captype{#1}%
+ \begin@float@pagebreak
+  \let\end@float\end@float@anchored
+  \let\end@dblfloat\end@float@anchored
+        \hsize\columnwidth
+        \@parboxrestore
+        \@floatboxreset
+  \minipagefootnote@init
+}%
+\def\end@float@anchored{%
+  \minipagefootnote@here
+  \par\vskip\z@skip      %% \par\vskip\z@ added 15 Dec 87
+ \par
+ \end@float@pagebreak
+}%
+\def\begin@float@pagebreak{\par\addvspace\intextsep}%
+\def\end@float@pagebreak{\par\addvspace\intextsep}%
+\def\@mpmakefntext#1{%
+ \parindent=1em
+ \noindent
+ \hb@xt@1em{\hss\@makefnmark}%
+ #1%
+}%
+\def\do@if@floats#1#2{%
+ \@ifxundefined\floats@sw{\global\@booleantrue\floats@sw}{}%
+ \floats@sw{}{%
+  \expandafter\newwrite
+              \csname#1write\endcsname
+  \expandafter\def
+              \csname#1@stream\endcsname{\jobname#2}%
+  \expandafter\immediate
+  \expandafter\openout
+              \csname#1write\endcsname
+              \csname#1@stream\endcsname\relax
+  \@ifxundefined\@float@LaTeX{%
+   \let\@float@LaTeX\@float
+   \let\@dblfloat@LaTeX\@dblfloat
+   \let\@float\write@float
+   \let\@dblfloat\write@floats
+  }{}%
+  \let@environment{#1@float}{#1}%
+  \let@environment{#1@floats}{#1*}%
+  \@ifxundefined@cs{#1@write}{}{%
+   \let@environment{#1}{#1@write}%
+  }%
+ }%
+}%
+\def\triggerpar{\leavevmode\@@par}%
+\def\oneapage{\def\begin@float@pagebreak{\newpage}\def\end@float@pagebreak{\newpage}}%
+\def\print@float#1#2{%
+ \@ifxundefined@cs{#1write}{}{%
+  \begingroup
+   \@booleanfalse\floats@sw
+   #2%
+   \raggedbottom
+   \def\array@default{v}% floats must
+   \let\@float\@float@LaTeX
+   \let\@dblfloat\@dblfloat@LaTeX
+   \let\trigger@float@par\triggerpar
+   \let@environment{#1}{#1@float}%
+   \let@environment{#1*}{#1@floats}%
+   \expandafter\prepdef\csname#1\endcsname{\trigger@float@par}%
+   \expandafter\prepdef\csname#1*\endcsname{\trigger@float@par}%
+   \@namedef{fps@#1}{h!}%
+   \expandafter\immediate
+   \expandafter\closeout
+               \csname#1write\endcsname
+   \everypar{%
+    \global\let\trigger@float@par\relax
+    \global\everypar{}\setbox\z@\lastbox
+    \@ifxundefined@cs{#1sname}{}{%
+     \begin@float@pagebreak
+     \expandafter\section
+     \expandafter*%
+     \expandafter{%
+                  \csname#1sname\endcsname
+                 }%
+    }%
+   }%
+   \input{\csname#1@stream\endcsname}%
+  \endgroup
+  \global\expandafter\let\csname#1write\endcsname\relax
+ }%
+}%
+\def\write@float#1{\write@@float{#1}{#1}}%
+\def\endwrite@float{\@Esphack}%
+\def\write@floats#1{\write@@float{#1*}{#1}}%
+\def\endwrite@floats{\@Esphack}%
+\def\write@@float#1#2{%
+  \ifhmode
+     \@bsphack
+  \fi
+  \chardef\@tempc\csname#2write\endcsname
+  \toks@{\begin{#1}}%
+  \def\@tempb{#1}%
+  \expandafter\let\csname end#1\endcsname\endwrite@float
+  \catcode`\^^M\active
+  \@makeother\{\@makeother\}\@makeother\%
+  \write@floatline
+}%
+\begingroup
+ \catcode`\[\the\catcode`\{\catcode`\]\the\catcode`\}\@makeother\{\@makeother\}%
+ \gdef\float@end@tag#1\end{#2}#3\@nul[%
+  \def\@tempa[#2]%
+  \@ifx[\@tempa\@tempb][\end[#2]][\write@floatline]%
+ ]%
+ \obeylines%
+ \gdef\write@floatline#1^^M[%
+  \begingroup%
+   \newlinechar`\^^M%
+   \toks@\expandafter[\the\toks@#1]\immediate\write\@tempc[\the\toks@]%
+  \endgroup%
+  \toks@[]%
+  \float@end@tag#1\end{}\@nul%
+ ]%
+\endgroup
+\def\@alph#1{\ifcase#1\or a\or b\or c\or d\else\@ialph{#1}\fi}
+\def\@ialph#1{\ifcase#1\or \or \or \or \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\or aa\or bb\or cc\or dd\or ee\or ff\or gg\or hh\or ii\or jj\or
+  kk\or ll\or mm\or nn\or oo\or pp\or qq\or rr\or ss\or tt\or uu\or
+  vv\or ww\or xx\or yy\or zz\else\@ctrerr\fi}
+\def\@startsection#1#2#3#4#5#6{%
+ \@startsection@hook
+ \if@noskipsec \leavevmode \fi
+ \par
+ \@tempskipa #4\relax
+ \@afterindenttrue
+ \ifdim \@tempskipa <\z@
+  \@tempskipa -\@tempskipa \@afterindentfalse
+ \fi
+ \if@nobreak
+  \everypar{}%
+ \else
+  \addpenalty\@secpenalty\addvspace\@tempskipa
+ \fi
+ \@ifstar
+  {\@dblarg{\@ssect@ltx{#1}{#2}{#3}{#4}{#5}{#6}}}%
+  {\@dblarg{\@sect@ltx {#1}{#2}{#3}{#4}{#5}{#6}}}%
+}%
+\def\@startsection@hook{}%
+\class@info
+  {Repairing broken LateX \string\@sect}%
+\def\@sect@ltx#1#2#3#4#5#6[#7]#8{%
+  \@ifnum{#2>\c@secnumdepth}{%
+    \def\H@svsec{\phantomsection}%
+    \let\@svsec\@empty
+  }{%
+    \H@refstepcounter{#1}%
+    \def\H@svsec{%
+     \phantomsection
+    }%
+    \protected@edef\@svsec{{#1}}%
+    \@ifundefined{@#1cntformat}{%
+     \prepdef\@svsec\@seccntformat
+    }{%
+     \expandafter\prepdef
+     \expandafter\@svsec
+                 \csname @#1cntformat\endcsname
+    }%
+  }%
+  \@tempskipa #5\relax
+  \@ifdim{\@tempskipa>\z@}{%
+    \begingroup
+      \interlinepenalty \@M
+      #6{%
+       \@ifundefined{@hangfrom@#1}{\@hang@from}{\csname @hangfrom@#1\endcsname}%
+       {\hskip#3\relax\H@svsec}{\@svsec}{#8}%
+      }%
+      \@@par
+    \endgroup
+    \@ifundefined{#1mark}{\@gobble}{\csname #1mark\endcsname}{#7}%
+    \addcontentsline{toc}{#1}{%
+      \@ifnum{#2>\c@secnumdepth}{%
+       \protect\numberline{}%
+      }{%
+       \protect\numberline{\csname the#1\endcsname}%
+      }%
+      #8}%
+  }{%
+    \def\@svsechd{%
+      #6{%
+       \@ifundefined{@runin@to@#1}{\@runin@to}{\csname @runin@to@#1\endcsname}%
+       {\hskip#3\relax\H@svsec}{\@svsec}{#8}%
+      }%
+      \@ifundefined{#1mark}{\@gobble}{\csname #1mark\endcsname}{#7}%
+      \addcontentsline{toc}{#1}{%
+        \@ifnum{#2>\c@secnumdepth}{%
+         \protect\numberline{}%
+        }{%
+         \protect\numberline{\csname the#1\endcsname}%
+        }%
+        #8}%
+    }%
+  }%
+  \@xsect{#5}%
+}%
+\def\@hang@from#1#2#3{\@hangfrom{#1#2}#3}%
+\def\@runin@to #1#2#3{#1#2#3}%
+\def\@ssect@ltx#1#2#3#4#5#6[#7]#8{%
+  \def\H@svsec{\phantomsection}%
+  \@tempskipa #5\relax
+  \@ifdim{\@tempskipa>\z@}{%
+    \begingroup
+      \interlinepenalty \@M
+      #6{%
+       \@ifundefined{@hangfroms@#1}{\@hang@froms}{\csname @hangfroms@#1\endcsname}%
+       {\hskip#3\relax\H@svsec}{#8}%
+      }%
+      \@@par
+    \endgroup
+    \@ifundefined{#1smark}{\@gobble}{\csname #1smark\endcsname}{#7}%
+    \addcontentsline{toc}{#1}{\protect\numberline{}#8}%
+  }{%
+    \def\@svsechd{%
+      #6{%
+       \@ifundefined{@runin@tos@#1}{\@runin@tos}{\csname @runin@tos@#1\endcsname}%
+       {\hskip#3\relax\H@svsec}{#8}%
+      }%
+      \@ifundefined{#1smark}{\@gobble}{\csname #1smark\endcsname}{#7}%
+      \addcontentsline{toc}{#1}{\protect\numberline{}#8}%
+    }%
+  }%
+  \@xsect{#5}%
+}%
+\def\@hang@froms#1#2{#1#2}%
+\def\@runin@tos #1#2{#1#2}%
+\appdef\init@documenthook{%
+ \providecommand\phantomsection{}%
+ \providecommand\hyper@anchor[1]{}%
+ \providecommand\hyper@last{}%
+ \providecommand\Hy@raisedlink[1]{#1}%
+ \providecommand\hyper@anchorstart[1]{}%
+ \providecommand\hyper@anchorend{}%
+ \providecommand\hyper@linkstart[2]{}%
+ \providecommand\hyper@linkend{}%
+}%
+\let\H@refstepcounter\refstepcounter
+\def\sec@upcase#1{\relax{#1}}%
+\appdef\class@documenthook{%
+ \@ifpackageloaded{array}{\switch@array}{\switch@tabular}%
+ \prepdef\endtabular{\endtabular@hook}%
+ \@provide\endtabular@hook{}%
+ \prepdef\endarray{\endarray@hook}%
+ \@provide\endarray@hook{}%
+ \providecommand\array@hook{}%
+ \prepdef\@tabular{\tabular@hook}%
+ \@provide\tabular@hook{}%
+}%
+\def\switch@tabular{%
+ \let\@array@sw\@array@sw@array
+ \@ifx{\@array\@array@LaTeX}{%
+  \@ifx{\multicolumn\multicolumn@LaTeX}{%
+   \@ifx{\@tabular\@tabular@LaTeX}{%
+    \@ifx{\@tabarray\@tabarray@LaTeX}{%
+     \@ifx{\array\array@LaTeX}{%
+      \@ifx{\endarray\endarray@LaTeX}{%
+       \@ifx{\endtabular\endtabular@LaTeX}{%
+        \@ifx{\@mkpream\@mkpream@LaTeX}{%
+         \@ifx{\@addamp\@addamp@LaTeX}{%
+          \@ifx{\@arrayacol\@arrayacol@LaTeX}{%
+           \@ifx{\@tabacol\@tabacol@LaTeX}{%
+            \@ifx{\@arrayclassz\@arrayclassz@LaTeX}{%
+             \@ifx{\@tabclassiv\@tabclassiv@LaTeX}{%
+              \@ifx{\@arrayclassiv\@arrayclassiv@LaTeX}{%
+               \@ifx{\@tabclassz\@tabclassz@LaTeX}{%
+                \@ifx{\@classv\@classv@LaTeX}{%
+                 \@ifx{\hline\hline@LaTeX}{%
+                  \@ifx{\@tabularcr\@tabularcr@LaTeX}{%
+                   \@ifx{\@xtabularcr\@xtabularcr@LaTeX}{%
+                    \@ifx{\@xargarraycr\@xargarraycr@LaTeX}{%
+                     \@ifx{\@yargarraycr\@yargarraycr@LaTeX}{%
+                      \true@sw
+                     }{%
+                      \false@sw
+                     }%
+                    }{%
+                     \false@sw
+                    }%
+                   }{%
+                    \false@sw
+                   }%
+                  }{%
+                   \false@sw
+                  }%
+                 }{%
+                  \false@sw
+                 }%
+                }{%
+                 \false@sw
+                }%
+               }{%
+                \false@sw
+               }%
+              }{%
+               \false@sw
+              }%
+             }{%
+              \false@sw
+             }%
+            }{%
+             \false@sw
+            }%
+           }{%
+            \false@sw
+           }%
+          }{%
+           \false@sw
+          }%
+         }{%
+          \false@sw
+         }%
+        }{%
+         \false@sw
+        }%
+       }{%
+        \false@sw
+       }%
+      }{%
+       \false@sw
+      }%
+     }{%
+      \false@sw
+     }%
+    }{%
+     \false@sw
+    }%
+   }{%
+    \false@sw
+   }%
+  }{%
+   \false@sw
+  }%
+ }{%
+  \false@sw
+ }%
+ {%
+  \class@info{Patching LaTeX tabular.}%
+ }{%
+  \class@info{Unrecognized LaTeX tabular. Please update this document class! (Proceeding with fingers crossed.)}%
+ }%
+ \let\@array\@array@ltx
+ \let\multicolumn\multicolumn@ltx
+ \let\@tabular\@tabular@ltx
+ \let\@tabarray\@tabarray@ltx
+ \let\array\array@ltx
+ \let\endarray\endarray@ltx
+ \let\endtabular\endtabular@ltx
+ \let\@mkpream\@mkpream@ltx
+ \let\@addamp\@addamp@ltx
+ \let\@arrayacol\@arrayacol@ltx
+ \let\@tabacol\@tabacol@ltx
+ \let\@arrayclassz\@arrayclassz@ltx
+ \let\@tabclassiv\@tabclassiv@ltx
+ \let\@arrayclassiv\@arrayclassiv@ltx
+ \let\@tabclassz\@tabclassz@ltx
+ \let\@classv\@classv@ltx
+ \let\hline\hline@ltx
+ \let\@tabularcr\@tabularcr@ltx
+ \let\@xtabularcr\@xtabularcr@ltx
+ \let\@xargarraycr\@xargarraycr@ltx
+ \let\@yargarraycr\@yargarraycr@ltx
+}%
+\def\switch@array{%
+ \let\@array@sw\@array@sw@LaTeX
+ \@ifx{\@array\@array@array}{%
+  \@ifx{\@tabular\@tabular@array}{%
+   \@ifx{\@tabarray\@tabarray@array}{%
+    \@ifx{\array\array@array}{%
+     \@ifx{\endarray\endarray@array}{%
+      \@ifx{\endtabular\endtabular@array}{%
+       \@ifx{\@mkpream\@mkpream@array}{%
+        \@ifx{\@classx\@classx@array}{%
+         \@ifx{\insert@column\insert@column@array}{%
+          \@ifx{\@arraycr\@arraycr@array}{%
+           \@ifx{\@xarraycr\@xarraycr@array}{%
+            \@ifx{\@xargarraycr\@xargarraycr@array}{%
+             \@ifx{\@yargarraycr\@yargarraycr@array}{%
+              \true@sw
+         }{%
+          \false@sw
+         }%
+         }{%
+          \false@sw
+         }%
+         }{%
+          \false@sw
+         }%
+         }{%
+          \false@sw
+         }%
+         }{%
+          \false@sw
+         }%
+        }{%
+         \false@sw
+        }%
+       }{%
+        \false@sw
+       }%
+      }{%
+       \false@sw
+      }%
+     }{%
+      \false@sw
+     }%
+    }{%
+     \false@sw
+    }%
+   }{%
+    \false@sw
+   }%
+  }{%
+   \false@sw
+  }%
+ }{%
+  \false@sw
+ }{%
+  \class@info{Patching array package.}%
+ }{%
+  \class@info{Unrecognized array package. Please update this document class! (Proceeding with fingers crossed.)}%
+ }%
+ \let\@array    \@array@array@new
+ \let\@@array   \@array % Cosi fan tutti
+ \let\@tabular  \@tabular@array@new
+ \let\@tabarray \@tabarray@array@new
+ \let\array     \array@array@new
+ \let\endarray  \endarray@array@new
+ \let\endtabular\endtabular@array@new
+ \let\@mkpream  \@mkpream@array@new
+ \let\@classx   \@classx@array@new
+ \let\@arrayacol\@arrayacol@ltx
+ \let\@tabacol  \@tabacol@ltx
+ \let\insert@column\insert@column@array@new
+ \expandafter\let\csname endtabular*\endcsname\endtabular % Cosi fan tutti
+ \let\@arraycr  \@arraycr@new
+ \let\@xarraycr \@xarraycr@new
+ \let\@xargarraycr\@xargarraycr@new
+ \let\@yargarraycr\@yargarraycr@new
+}%
+\def\@array@sw@LaTeX{\@ifx{\\\@tabularcr}}%
+\def\@array@sw@array{\@ifx{\d@llarbegin\begingroup}}%
+\def\@tabular@LaTeX{%
+ \leavevmode
+ \hbox\bgroup$%
+  \let\@acol\@tabacol
+  \let\@classz\@tabclassz
+  \let\@classiv\@tabclassiv
+  \let\\\@tabularcr
+  \@tabarray
+}%
+\def\@tabular@ltx{%
+  \let\@acoll\@tabacoll
+  \let\@acolr\@tabacolr
+  \let\@acol\@tabacol
+  \let\@classz\@tabclassz
+  \let\@classiv\@tabclassiv
+  \let\\\@tabularcr
+  \@tabarray
+}%
+\def\@tabular@array{%
+ \leavevmode
+ \hbox\bgroup$%
+  \col@sep\tabcolsep
+  \let\d@llarbegin\begingroup
+  \let\d@llarend\endgroup
+  \@tabarray
+}%
+\def\@tabular@array@new{%
+  \let\@acoll\@tabacoll
+  \let\@acolr\@tabacolr
+  \let\@acol\@tabacol
+  \let\col@sep\@undefined
+  \let\d@llarbegin\begingroup
+  \let\d@llarend\endgroup
+  \@tabarray
+}%
+\def\@tabarray@LaTeX{%
+ \m@th\@ifnextchar[\@array{\@array[c]}%
+}%
+\def\@tabarray@ltx{%
+ \m@th\@ifnextchar[\@array{\expandafter\@array\expandafter[\array@default]}%
+}%
+\def\@tabarray@array{%
+ \@ifnextchar[{\@@array}{\@@array[c]}%
+}%
+\def\@tabarray@array@new{%
+ \@ifnextchar[{\@@array}{\expandafter\@@array\expandafter[\array@default]}%
+}%
+\newcount\intertabularlinepenalty
+\intertabularlinepenalty=100
+\newcount\@tbpen
+\appdef\samepage{\intertabularlinepenalty\@M}%
+\def\@tabularcr@LaTeX{{\ifnum 0=`}\fi \@ifstar \@xtabularcr \@xtabularcr}%
+\def\@tabularcr@ltx{{\ifnum 0=`}\fi \@ifstar {\global \@tbpen \@M \@xtabularcr }{\global \@tbpen \intertabularlinepenalty \@xtabularcr }}%
+\def\@xtabularcr@LaTeX{\@ifnextchar [\@argtabularcr {\ifnum 0=`{\fi }\cr }}%
+\def\@xtabularcr@ltx{\@ifnextchar [\@argtabularcr {\ifnum 0=`{\fi }\cr \noalign {\penalty \@tbpen }}}%
+\def\@xargarraycr@LaTeX#1{\@tempdima #1\advance \@tempdima \dp \@arstrutbox \vrule \@height \z@ \@depth \@tempdima \@width \z@ \cr}%
+\def\@xargarraycr@ltx#1{\@tempdima #1\advance \@tempdima \dp \@arstrutbox \vrule \@height \z@ \@depth \@tempdima \@width \z@ \cr \noalign {\penalty \@tbpen }}%
+\def\@yargarraycr@LaTeX#1{\cr \noalign {\vskip #1}}%
+\def\@yargarraycr@ltx#1{\cr \noalign {\penalty \@tbpen \vskip #1}}%
+\def\@arraycr@array{%
+ \relax
+ \iffalse{\fi\ifnum 0=`}\fi
+ \@ifstar \@xarraycr \@xarraycr
+}%
+\def\@arraycr@new{%
+ \relax
+ \iffalse{\fi\ifnum 0=`}\fi
+ \@ifstar {\global \@tbpen \@M \@xarraycr }{\global \@tbpen \intertabularlinepenalty \@xarraycr }%
+}%
+\def\@xarraycr@array{%
+ \@ifnextchar [%]
+ \@argarraycr {\ifnum 0=`{}\fi\cr}%
+}%
+\def\@xarraycr@new{%
+ \@ifnextchar [%]
+ \@argarraycr {\ifnum 0=`{}\fi\cr \noalign {\penalty \@tbpen }}%
+}%
+\def\@xargarraycr@array#1{%
+ \unskip
+ \@tempdima #1\advance\@tempdima \dp\@arstrutbox
+ \vrule \@depth\@tempdima \@width\z@
+ \cr
+}%
+\def\@xargarraycr@new#1{%
+ \unskip
+ \@tempdima #1\advance\@tempdima \dp\@arstrutbox
+ \vrule \@depth\@tempdima \@width\z@
+ \cr
+ \noalign {\penalty \@tbpen }%
+}%
+\def\@yargarraycr@array#1{%
+ \cr
+ \noalign{\vskip #1}%
+}%
+\def\@yargarraycr@new#1{%
+ \cr
+ \noalign{\penalty \@tbpen \vskip #1}%
+}%
+\def\array@LaTeX{%
+ \let\@acol\@arrayacol
+ \let\@classz\@arrayclassz
+ \let\@classiv\@arrayclassiv
+ \let\\\@arraycr
+ \let\@halignto\@empty
+ \@tabarray
+}%
+\def\array@ltx{%
+ \@ifmmode{}{\@badmath$}%
+ \let\@acoll\@arrayacol
+ \let\@acolr\@arrayacol
+ \let\@acol\@arrayacol
+ \let\@classz\@arrayclassz
+ \let\@classiv\@arrayclassiv
+ \let\\\@arraycr
+ \let\@halignto\@empty
+ \@tabarray
+}%
+\def\array@array{%
+ \col@sep\arraycolsep
+ \def\d@llarbegin{$}\let\d@llarend\d@llarbegin\gdef\@halignto{}%
+ \@tabarray
+}
+\def\array@array@new{%
+ \@ifmmode{}{\@badmath$}%
+ \let\@acoll\@arrayacol
+ \let\@acolr\@arrayacol
+ \let\@acol\@arrayacol
+\let\col@sep\@undefined
+ \def\d@llarbegin{$}%
+ \let\d@llarend\d@llarbegin
+ \gdef\@halignto{}%
+ \@tabarray
+}%
+\def\@array@LaTeX[#1]#2{%
+  \if #1t\vtop \else \if#1b\vbox \else \vcenter \fi\fi
+  \bgroup
+  \setbox\@arstrutbox\hbox{%
+    \vrule \@height\arraystretch\ht\strutbox
+           \@depth\arraystretch \dp\strutbox
+           \@width\z@}%
+  \@mkpream{#2}%
+  \edef\@preamble{%
+    \ialign \noexpand\@halignto
+      \bgroup \@arstrut \@preamble \tabskip\z@skip \cr}%
+  \let\@startpbox\@@startpbox \let\@endpbox\@@endpbox
+  \let\tabularnewline\\%
+    \let\par\@empty
+    \let\@sharp##%
+    \set@typeset@protect
+    \lineskip\z@skip\baselineskip\z@skip
+    \ifhmode \@preamerr\z@ \@@par\fi
+    \@preamble
+}%
+\def\@array@ltx[#1]#2{%
+ \@nameuse{@array@align@#1}%
+  \set@arstrutbox
+  \@mkpream{#2}%
+  \prepdef\@preamble{%
+    \tabskip\tabmid@skip
+    \@arstrut
+  }%
+  \appdef\@preamble{%
+    \tabskip\tabright@skip
+    \cr
+    \array@row@pre
+  }%
+  \let\tabularnewline\\%
+  \let\par\@empty
+  \let\@sharp##%
+  \set@typeset@protect
+  \lineskip\z@skip\baselineskip\z@skip
+  \tabskip\tableft@skip\relax
+  \ifhmode \@preamerr\z@ \@@par\fi
+  \everycr{}%
+  \expandafter\halign\expandafter\@halignto\expandafter\bgroup\@preamble
+}%
+\def\set@arstrutbox{%
+  \setbox\@arstrutbox\hbox{%
+    \vrule \@height\arraystretch\ht\strutbox
+           \@depth\arraystretch \dp\strutbox
+           \@width\z@
+  }%
+}%
+\def\@array@array[#1]#2{%
+  \@tempdima \ht \strutbox
+  \advance \@tempdima by\extrarowheight
+  \setbox \@arstrutbox \hbox{\vrule
+             \@height \arraystretch \@tempdima
+             \@depth \arraystretch \dp \strutbox
+             \@width \z@}%
+  \begingroup
+  \@mkpream{#2}%
+  \xdef\@preamble{\noexpand \ialign \@halignto
+                  \bgroup \@arstrut \@preamble
+                          \tabskip \z@ \cr}%
+  \endgroup
+  \@arrayleft
+  \if #1t\vtop \else \if#1b\vbox \else \vcenter \fi \fi
+  \bgroup
+  \let \@sharp ##\let \protect \relax
+  \lineskip \z@
+  \baselineskip \z@
+  \m@th
+  \let\\\@arraycr \let\tabularnewline\\\let\par\@empty \@preamble
+}%
+\def\@array@array@new[#1]#2{%
+  \@tempdima\ht\strutbox
+  \advance\@tempdima by\extrarowheight
+  \setbox\@arstrutbox\hbox{%
+   \vrule \@height\arraystretch\@tempdima
+          \@depth \arraystretch\dp\strutbox
+          \@width \z@
+  }%
+  \begingroup
+   \@mkpream{#2}%
+   \xdef\@preamble{\@preamble}%
+  \endgroup
+  \prepdef\@preamble{%
+   \tabskip\tabmid@skip
+    \@arstrut
+  }%
+  \appdef\@preamble{%
+   \tabskip\tabright@skip
+   \cr
+   \array@row@pre
+  }%
+  \@arrayleft
+  \@nameuse{@array@align@#1}%
+  \m@th
+  \let\\\@arraycr
+  \let\tabularnewline\\%
+  \let\par\@empty
+  \let\@sharp##%
+  \set@typeset@protect
+  \lineskip\z@\baselineskip\z@
+  \tabskip\tableft@skip
+  \everycr{}%
+  \expandafter\halign\expandafter\@halignto\expandafter\bgroup\@preamble
+}%
+\def\endarray@LaTeX{%
+ \crcr\egroup\egroup
+}%
+\def\endarray@ltx{%
+ \crcr\array@row@pst\egroup\egroup
+}%
+\def\endarray@array{%
+ \crcr \egroup \egroup \@arrayright \gdef\@preamble{}%
+}%
+\def\endarray@array@new{%
+ \crcr\array@row@pst\egroup\egroup % Same as \endarray@ltx
+ \@arrayright
+ \global\let\@preamble\@empty
+}%
+\def\endtabular@LaTeX{%
+ \crcr\egroup\egroup $\egroup
+}%
+\def\endtabular@ltx{%
+ \endarray
+}%
+\def\endtabular@array{%
+ \endarray $\egroup
+}%
+\def\endtabular@array@new{%
+ \endarray
+}%
+\@namedef{endtabular*}{\endtabular}%
+\long\def\multicolumn@LaTeX#1#2#3{%
+ \multispan{#1}\begingroup
+  \@mkpream{#2}%
+  \def\@sharp{#3}\set@typeset@protect
+  \let\@startpbox\@@startpbox\let\@endpbox\@@endpbox
+  \@arstrut \@preamble\hbox{}\endgroup\ignorespaces
+}%
+\long\def\multicolumn@ltx#1#2#3{%
+ \multispan{#1}%
+ \begingroup
+  \@mkpream{#2}%
+  \def\@sharp{#3}%
+  \set@typeset@protect
+ %\let\@startpbox\@@startpbox\let\@endpbox\@@endpbox
+  \@arstrut
+  \@preamble
+  \hbox{}%
+ \endgroup
+ \ignorespaces
+}%
+\def\@array@align@t{\leavevmode\vtop\bgroup}%
+\def\@array@align@b{\leavevmode\vbox\bgroup}%
+\def\@array@align@c{\leavevmode\@ifmmode{\vcenter\bgroup}{$\vcenter\bgroup\aftergroup$\aftergroup\relax}}%
+\def\@array@align@v{%
+ \@ifmmode{%
+  \@badmath
+  \vcenter\bgroup
+ }{%
+  \@ifinner{%
+   $\vcenter\bgroup\aftergroup$
+  }{%
+   \@@par\bgroup
+  }%
+ }%
+}%
+\def\array@default{c}%
+\def\array@row@rst{%
+ \let\@array@align@v\@array@align@c
+}%
+\def\array@row@pre{}%
+\def\array@row@pst{}%
+\newcommand\toprule{\tab@rule{\column@font}{\column@fil}{\frstrut}}%
+\newcommand\colrule{\unskip\lrstrut\\\tab@rule{\body@font}{}{\frstrut}}%
+\newcommand\botrule{\unskip\lrstrut\\\noalign{\hline@rule}{}}%
+\def\hline@LaTeX{%
+ \noalign{\ifnum0=`}\fi\hrule \@height \arrayrulewidth \futurelet
+   \reserved@a\@xhline
+}%
+\def\hline@ltx{%
+ \noalign{%
+  \ifnum0=`}\fi
+  \hline@rule
+  \futurelet\reserved@a\@xhline
+ % \noalign ended in \@xhline
+}%
+\def\@xhline@unneeded{%
+ \say\reserved@a
+ \ifx\reserved@a\hline
+  \vskip\doublerulesep
+  \vskip-\arrayrulewidth
+ \fi
+ \ifnum0=`{\fi}%
+}%
+\def\tab@rule#1#2#3{%
+ \crcr
+ \noalign{%
+  \hline@rule
+  \gdef\@arstrut@hook{%
+   \global\let\@arstrut@hook\@empty
+   #3%
+  }%
+  \gdef\cell@font{#1}%
+  \gdef\cell@fil{#2}%
+ }%
+}%
+\def\column@font{}%
+\def\column@fil{}%
+\def\body@font{}%
+\def\cell@font{}%
+\def\frstrut{}%
+\def\lrstrut{}%
+\def\@arstrut@hline{%
+ \relax
+ \@ifmmode{\copy}{\unhcopy}\@arstrutbox@hline
+ \@arstrut@hook
+}%
+\let\@arstrut@org\@arstrut
+\def\@arstrut@hook{%
+ \global\let\@arstrut\@arstrut@org
+}%
+\newbox\@arstrutbox@hline
+\appdef\set@arstrutbox{%
+  \setbox\@arstrutbox@hline\hbox{%
+    \setbox\z@\hbox{$0^{0}_{}$}%
+    \dimen@\ht\z@\advance\dimen@\@arstrut@hline@clnc
+    \@ifdim{\dimen@<\arraystretch\ht\strutbox}{\dimen@=\arraystretch\ht\strutbox}{}%
+    \vrule \@height\dimen@
+           \@depth\arraystretch \dp\strutbox
+           \@width\z@
+  }%
+}%
+\def\hline@rule{%
+ \hrule \@height \arrayrulewidth
+ \global\let\@arstrut\@arstrut@hline
+}%
+\def\@arstrut@hline@clnc{2\p@}% % Klootch: magic number
+\def\tableft@skip{\z@skip}%
+\def\tabmid@skip{\z@skip}%\@flushglue
+\def\tabright@skip{\z@skip}%
+\def\tableftsep{\tabcolsep}%
+\def\tabmidsep{\tabcolsep}%
+\def\tabrightsep{\tabcolsep}%
+\def\cell@fil{}%
+\def\pbox@hook{}%
+\appdef\@arstrut{\@arstrut@hook}%
+\let\@arstrut@hook\@empty
+\def\@addtopreamble{\appdef\@preamble}%
+\def\@mkpream@LaTeX#1{%
+  \@firstamptrue\@lastchclass6
+  \let\@preamble\@empty
+  \let\protect\@unexpandable@protect
+  \let\@sharp\relax
+  \let\@startpbox\relax\let\@endpbox\relax
+  \@expast{#1}%
+  \expandafter\@tfor \expandafter
+    \@nextchar \expandafter:\expandafter=\reserved@a\do
+       {\@testpach\@nextchar
+    \ifcase \@chclass \@classz \or \@classi \or \@classii \or \@classiii
+      \or \@classiv \or\@classv \fi\@lastchclass\@chclass}%
+  \ifcase \@lastchclass \@acol
+      \or \or \@preamerr \@ne\or \@preamerr \tw@\or \or \@acol \fi
+}%
+\def\@mkpream@ltx#1{%
+ \@firstamptrue
+ \@lastchclass6
+ \let\@preamble\@empty
+ \let\protect\@unexpandable@protect
+ \let\@sharp\relax
+ \@expast{#1}%
+ \expandafter\@tfor\expandafter\@nextchar\expandafter:\expandafter=\reserved@a
+ \do{%
+  \expandafter\@testpach\expandafter{\@nextchar}%
+  \ifcase\@chclass
+   \@classz
+  \or
+   \@classi
+  \or
+   \@classii
+  \or
+   \@classiii
+  \or
+   \@classiv
+  \or
+   \@classv
+  \fi
+  \@lastchclass\@chclass
+ }%
+ \ifcase\@lastchclass
+  \@acolr % right-hand column
+ \or
+ \or
+  \@preamerr\@ne
+ \or
+  \@preamerr\tw@
+ \or
+ \or
+  \@acolr % right-hand column
+ \fi
+}%
+\def\insert@column@array{%
+   \the@toks \the \@tempcnta
+   \ignorespaces \@sharp \unskip
+   \the@toks \the \count@ \relax
+}%
+\def\insert@column@array@new{%
+ \the@toks\the\@tempcnta
+ \array@row@rst\cell@font
+ \ignorespaces\@sharp\unskip
+ \the@toks\the\count@
+ \relax
+}%
+\def\@mkpream@relax{%
+ \let\tableftsep\relax
+ \let\tabmidsep\relax
+ \let\tabrightsep\relax
+ \let\array@row@rst\relax
+ \let\cell@font\relax
+ \let\@startpbox\relax
+}%
+\def\@mkpream@array#1{%
+   \gdef\@preamble{}\@lastchclass 4 \@firstamptrue
+   \let\@sharp\relax \let\@startpbox\relax \let\@endpbox\relax
+   \@temptokena{#1}\@tempswatrue
+   \@whilesw\if@tempswa\fi{\@tempswafalse\the\NC@list}%
+   \count@\m@ne
+   \let\the@toks\relax
+   \prepnext@tok
+   \expandafter \@tfor \expandafter \@nextchar
+    \expandafter :\expandafter =\the\@temptokena \do
+   {\@testpach
+   \ifcase \@chclass \@classz \or \@classi \or \@classii
+     \or \save@decl \or \or \@classv \or \@classvi
+     \or \@classvii \or \@classviii
+     \or \@classx
+     \or \@classx \fi
+   \@lastchclass\@chclass}%
+   \ifcase\@lastchclass
+   \@acol \or
+   \or
+   \@acol \or
+   \@preamerr \thr@@ \or
+   \@preamerr \tw@ \@addtopreamble\@sharp \or
+   \or
+   \else  \@preamerr \@ne \fi
+   \def\the@toks{\the\toks}%
+}%
+\def\@mkpream@array@new#1{%
+ \gdef\@preamble{}%
+ \@lastchclass\f@ur
+ \@firstamptrue
+ \let\@sharp\relax
+ \@mkpream@relax
+ \@temptokena{#1}\@tempswatrue
+ \@whilesw\if@tempswa\fi{\@tempswafalse\the\NC@list}%
+ \count@\m@ne
+ \let\the@toks\relax
+ \prepnext@tok
+ \expandafter\@tfor\expandafter\@nextchar\expandafter:\expandafter=\the\@temptokena
+ \do{%
+  \@testpach
+  \ifcase\@chclass
+   \@classz
+  \or
+   \@classi
+  \or
+   \@classii
+  \or
+   \save@decl
+  \or
+  \or
+   \@classv
+  \or
+   \@classvi
+  \or
+   \@classvii
+  \or
+   \@classviii
+  \or
+   \@classx
+  \or
+   \@classx
+  \fi
+  \@lastchclass\@chclass
+ }%
+ \ifcase\@lastchclass
+  \@acolr % right-hand column
+ \or
+ \or
+  \@acolr % right-hand column
+ \or
+  \@preamerr\thr@@
+ \or
+  \@preamerr\tw@\@addtopreamble\@sharp
+ \or
+ \or
+ \else
+  \@preamerr\@ne
+ \fi
+ \def\the@toks{\the\toks}%
+}%
+\def\@addamp@LaTeX{%
+  \if@firstamp\@firstampfalse\else\edef\@preamble{\@preamble &}\fi
+}%
+\def\@addamp@ltx{%
+ \if@firstamp\@firstampfalse\else\@addtopreamble{&}\fi
+}%
+\def\@arrayacol@LaTeX{%
+ \edef\@preamble{\@preamble \hskip \arraycolsep}%
+}%
+\def\@arrayacol@ltx{%
+ \@addtopreamble{\hskip\arraycolsep}%
+}%
+\def\@tabacoll{%
+ \@addtopreamble{\hskip\tableftsep\relax}%
+}%
+\def\@tabacol@LaTeX{%
+ \edef\@preamble{\@preamble \hskip \tabcolsep}%
+}%
+\def\@tabacol@ltx{%
+ \@addtopreamble{\hskip\tabmidsep\relax}%
+}%
+\def\@tabacolr{%
+ \@addtopreamble{\hskip\tabrightsep\relax}%
+}%
+\def\@arrayclassz@LaTeX{%
+ \ifcase \@lastchclass \@acolampacol \or \@ampacol \or
+   \or \or \@addamp \or
+   \@acolampacol \or \@firstampfalse \@acol \fi
+ \edef\@preamble{\@preamble
+  \ifcase \@chnum
+     \hfil$\relax\@sharp$\hfil \or $\relax\@sharp$\hfil
+    \or \hfil$\relax\@sharp$\fi}%
+}%
+\def\@arrayclassz@ltx{%
+ \ifcase\@lastchclass
+  \@acolampacol
+ \or
+  \@ampacol
+ \or
+ \or
+ \or
+  \@addamp
+ \or
+  \@acolampacol
+ \or
+  \@firstampfalse\@acoll
+ \fi
+ \ifcase\@chnum
+  \@addtopreamble{%
+   \hfil\array@row@rst$\relax\@sharp$\hfil
+  }%
+ \or
+  \@addtopreamble{%
+   \array@row@rst$\relax\@sharp$\hfil
+  }%
+ \or
+  \@addtopreamble{%
+   \hfil\array@row@rst$\relax\@sharp$%
+  }%
+ \fi
+}%
+\def\@tabclassz@LaTeX{%
+  \ifcase\@lastchclass
+    \@acolampacol
+  \or
+    \@ampacol
+  \or
+  \or
+  \or
+    \@addamp
+  \or
+    \@acolampacol
+  \or
+    \@firstampfalse\@acol
+  \fi
+  \edef\@preamble{%
+    \@preamble{%
+      \ifcase\@chnum
+        \hfil\ignorespaces\@sharp\unskip\hfil
+      \or
+        \hskip1sp\ignorespaces\@sharp\unskip\hfil
+      \or
+        \hfil\hskip1sp\ignorespaces\@sharp\unskip
+      \fi}}%
+}%
+\def\@tabclassz@ltx{%
+ \ifcase\@lastchclass
+  \@acolampacol
+ \or
+  \@ampacol
+ \or
+ \or
+ \or
+  \@addamp
+ \or
+  \@acolampacol
+ \or
+  \@firstampfalse\@acoll
+ \fi
+ \ifcase\@chnum
+  \@addtopreamble{%
+   {\hfil\array@row@rst\cell@font\ignorespaces\@sharp\unskip\hfil}%
+  }%
+ \or
+  \@addtopreamble{%
+   {\cell@fil\hskip1sp\array@row@rst\cell@font\ignorespaces\@sharp\unskip\hfil}%
+  }%
+ \or
+  \@addtopreamble{%
+   {\hfil\hskip1sp\array@row@rst\cell@font\ignorespaces\@sharp\unskip\cell@fil}%
+  }%
+ \fi
+}%
+\def\@tabclassiv@LaTeX{%
+ \@addtopreamble\@nextchar
+}%
+\def\@tabclassiv@ltx{%
+ \expandafter\@addtopreamble\expandafter{\@nextchar}%
+}%
+\def\@arrayclassiv@LaTeX{%
+ \@addtopreamble{$\@nextchar$}%
+}%
+\def\@arrayclassiv@ltx{%
+ \expandafter\@addtopreamble\expandafter{\expandafter$\@nextchar$}%
+}%
+\def\@classv@LaTeX{%
+ \@addtopreamble{\@startpbox{\@nextchar}\ignorespaces
+ \@sharp\@endpbox}%
+}%
+\def\@classv@ltx{%
+ \expandafter\@addtopreamble
+ \expandafter{%
+ \expandafter \@startpbox
+ \expandafter {\@nextchar}%
+ \pbox@hook\array@row@rst\cell@font\ignorespaces\@sharp\@endpbox
+ }%
+}%
+\def\@classx@array{%
+  \ifcase \@lastchclass
+  \@acolampacol \or
+  \@addamp \@acol \or
+  \@acolampacol \or
+  \or
+  \@acol \@firstampfalse \or
+  \@addamp
+  \fi
+}%
+\def\@classx@array@new{%
+ \ifcase \@lastchclass
+  \@acolampacol
+ \or
+  \@addamp \@acol
+ \or
+  \@acolampacol
+ \or
+ \or
+  \@firstampfalse\@acoll
+ \or
+  \@addamp
+ \fi
+}%
+\def\@xbitor@LaTeX #1{\@tempcntb \count#1
+   \ifnum \@tempcnta =\z@
+   \else
+     \divide\@tempcntb\@tempcnta
+     \ifodd\@tempcntb \@testtrue\fi
+   \fi}%
+\def\@xbitor@ltx#1{%
+ \@tempcntb\count#1%
+ \@ifnum{\@tempcnta=\z@}{}{%
+  \divide\@tempcntb\@tempcnta
+  \@ifodd\@tempcntb{\@testtrue}{}%
+ }%
+}%
+\@ifx{\@xbitor\@xbitor@LaTeX}{%
+  \class@info{Repairing broken LaTeX \string\@xbitor}%
+}{%
+  \class@info{Unrecognized LaTeX \string\@xbitor. Please update this document class! (Proceeding with fingers crossed.)}%
+}%
+\let\@xbitor\@xbitor@ltx
+\newcommand*\@gobble@opt@one[2][]{}%
+\def\@starttoc#1{%
+  \begingroup
+    \toc@pre
+    \makeatletter
+    \@input{\jobname.#1}%
+    \if@filesw
+      \expandafter\newwrite\csname tf@#1\endcsname
+      \immediate\openout \csname tf@#1\endcsname \jobname.#1\relax
+    \fi
+    \@nobreakfalse
+    \toc@post
+  \endgroup
+}%
+\def\toc@pre{}%
+\def\toc@post{}%
+\def\toc@@font{}%{\footnotesize\rmfamily}%
+\def\@dotsep{\z@}%{5.5pt}%
+\let\tocdim@section       \leftmargini
+\let\tocdim@subsection    \leftmarginii
+\let\tocdim@subsubsection \leftmarginiii
+\let\tocdim@paragraph     \leftmarginiv
+\let\tocdim@appendix      \leftmarginv
+\let\tocdim@pagenum       \leftmarginvi
+\def\toc@pre@auto{%
+  \toc@@font
+  \@tempdima\z@
+  \toc@setindent\@tempdima{section}%
+  \toc@setindent\@tempdima{subsection}%
+  \toc@setindent\@tempdima{subsubsection}%
+  \toc@setindent\@tempdima{paragraph}%
+  \toc@letdimen{appendix}%
+  \toc@letdimen{pagenum}%
+}%
+\def\toc@post@auto{%
+  \if@filesw
+   \begingroup
+    \toc@writedimen{section}%
+    \toc@writedimen{subsection}%
+    \toc@writedimen{subsubsection}%
+    \toc@writedimen{paragraph}%
+    \toc@writedimen{appendix}%
+    \toc@writedimen{pagenum}%
+   \endgroup
+  \fi
+}%
+\def\toc@setindent#1#2{%
+ \csname tocdim@#2\endcsname\tocdim@min\relax
+ \@ifundefined{tocmax@#2}{\@namedef{tocmax@#2}{\z@}}{}%
+ \advance#1\@nameuse{tocmax@#2}\relax
+ \expandafter\edef\csname tocleft@#2\endcsname{\the#1}%
+}%
+\def\toc@letdimen#1{%
+ \csname tocdim@#1\endcsname\tocdim@min\relax
+ \@ifundefined{tocmax@#1}{\@namedef{tocmax@#1}{\z@}}{}%
+ \expandafter\let\csname tocleft@#1\expandafter\endcsname\csname tocmax@#1\endcsname
+}%
+\def\toc@writedimen#1{%
+ \immediate\write\@auxout{%
+  \gdef\expandafter\string\csname tocmax@#1\endcsname{%
+   \expandafter\the\csname tocdim@#1\endcsname
+  }%
+ }%
+}%
+\def\l@@sections#1#2#3#4{%
+ % #1 - superior section
+ % #2 - this section
+ % #3 - content, including possible \numberline
+ % #4 - page number
+ \begingroup
+  \everypar{}%
+  \set@tocdim@pagenum{#4}%
+  \global\@tempdima\csname tocdim@#2\endcsname
+  \leftskip\csname tocleft@#2\endcsname\relax
+  \dimen@\csname tocleft@#1\endcsname\relax
+  \parindent-\leftskip\advance\parindent\dimen@
+  \rightskip\tocleft@pagenum plus 1fil\relax
+  \skip@\parfillskip\parfillskip\z@
+  \let\numberline\numberline@@sections
+  \@nameuse{l@f@#2}%
+  \ignorespaces#3\unskip\nobreak\hskip\skip@
+  \hb@xt@\rightskip{\hfil\unhbox\@tempboxa}\hskip-\rightskip\hskip\z@skip
+  \par
+  \expandafter\aftergroup\csname tocdim@#2\endcsname\expandafter
+ \endgroup\the\@tempdima\relax
+}%
+\def\set@tocdim@pagenum#1{%
+ \setbox\@tempboxa\hbox{\ignorespaces#1}%
+ \@ifdim{\tocdim@pagenum<\wd\z@}{\global\tocdim@pagenum\wd\z@}{}%
+}%
+\def\numberline@@sections#1{%
+ \leavevmode\hb@xt@-\parindent{%
+  \hfil
+  \@if@empty{#1}{}{%
+   \setbox\z@\hbox{#1.\kern\@dotsep}%
+   \@ifdim{\@tempdima<\wd\z@}{\global\@tempdima\wd\z@}{}%
+   \unhbox\z@
+  }%
+ }%
+ \ignorespaces
+}%
+\def\tocdim@min{\z@}%
+\def\list#1#2{%
+  \ifnum \@listdepth >5\relax
+    \@toodeep
+  \else
+    \global\advance\@listdepth\@ne
+  \fi
+  \rightmargin\z@
+  \listparindent\z@
+  \itemindent\z@
+  \csname @list\romannumeral\the\@listdepth\endcsname
+  \def\@itemlabel{#1}%
+  \let\makelabel\@mklab
+  \@nmbrlistfalse
+  #2\relax
+  \@trivlist
+  \parskip\parsep
+  \set@listindent
+  \ignorespaces
+}%
+\def\set@listindent@parshape{%
+ \parindent\listparindent
+ \advance\@totalleftmargin\leftmargin
+ \advance\linewidth-\rightmargin
+ \advance\linewidth-\leftmargin
+ \parshape\@ne\@totalleftmargin\linewidth
+}%
+\def\set@listindent@{%
+ \parindent\listparindent
+ \advance\@totalleftmargin\leftmargin
+ \advance\rightskip\rightmargin
+ \advance\leftskip\@totalleftmargin
+}%
+\let\set@listindent\set@listindent@parshape
+\typeout{%
+ ltxgrid: portions licensed from W. E. Baxter (web@superscript.com)%
+}%
+\newcounter{linecount}
+\def\lineloop#1{%
+ \loop
+ \ifnum\c@linecount<#1\relax
+  \global\advance\c@linecount\@ne
+  \par
+  \hb@xt@\hsize{%
+   \ifnum\c@linecount<100 0\fi\ifnum\c@linecount<10 0\fi\number\c@linecount
+   \vrule depth2.5\p@
+   \leaders\hrule\hfil
+  }%
+  \penalty\interlinepenalty
+ \repeat
+}%
+\let\@@mark\mark
+\let\@@topmark\topmark
+\let\@@firstmark\firstmark
+\let\@@botmark\botmark
+\let\@@splitfirstmark\splitfirstmark
+\let\@@splitbotmark\splitbotmark
+\def\@themark{{}{}{}{}}%
+\def\nul@mark{{}{}{}{}\@@nul}%
+\def\set@mark@netw@#1#2#3#4#5#6#7{\gdef#1{{#6}{#7}{#4}{#5}}\do@mark}%
+\def\set@marktw@#1#2#3#4#5#6{\gdef#1{{#2}{#6}{#4}{#5}}\do@mark}%
+\def\set@markthr@@#1#2#3#4#5#6{\gdef#1{{#2}{#3}{#6}{#5}}\do@mark}%
+\def\get@mark@@ne#1#2#3#4#5\@@nul{#1}%
+\def\get@mark@tw@#1#2#3#4#5\@@nul{#2}%
+\def\get@mark@thr@@#1#2#3#4#5\@@nul{#3}%
+\def\get@mark@f@ur#1#2#3#4#5\@@nul{#4}%
+\def\mark@netw@{\expandafter\set@mark@netw@\expandafter\@themark\@themark}%
+\def\marktw@{\expandafter\set@marktw@\expandafter\@themark\@themark}%
+\def\markthr@@{\expandafter\set@markthr@@\expandafter\@themark\@themark}%
+\def\do@mark{\do@@mark\@themark\nobreak@mark}%
+\def\do@@mark#1{%
+ \begingroup
+  \let@mark
+  \@@mark{#1}%
+ \endgroup
+}%
+\def\let@mark{%
+ \let\protect\@unexpandable@protect
+ \let\label\relax
+ \let\index\relax
+ \let\glossary\relax
+}%
+\def\nobreak@mark{%
+ \@if@sw\if@nobreak\fi{\@ifvmode{\nobreak}{}}{}%
+}%
+\def\mark@envir{\markthr@@}%
+\def\bot@envir{%
+ \expandafter\expandafter
+ \expandafter\get@mark@thr@@
+ \expandafter\@@botmark
+             \nul@mark
+}%
+\def\markboth{\mark@netw@}%
+\def\markright{\marktw@}%
+\def\leftmark{%
+ \expandafter\expandafter
+ \expandafter\get@mark@@ne
+ \expandafter\saved@@botmark
+             \nul@mark
+}%
+\def\rightmark{%
+ \expandafter\expandafter
+ \expandafter\get@mark@tw@
+ \expandafter\saved@@firstmark
+             \nul@mark
+}%
+\let\primitive@output\output
+\long\def\@tempa#1\@@nil{#1}%
+\toks@
+\expandafter\expandafter
+\expandafter{%
+\expandafter \@tempa
+             \the\output
+             \@@nil
+             }%
+\newtoks\output
+\output\expandafter{\the\toks@}%
+\primitive@output{\dispatch@output}%
+\def\dispatch@output{%
+ \let\par\@@par
+ \expandafter\let\expandafter\@tempa\csname output@\the\outputpenalty\endcsname
+ \outputdebug@sw{%
+  \saythe\badness
+  \saythe\outputpenalty
+  \saythe\holdinginserts
+  \say\thepagegrid
+  \saythe\pagegrid@col
+  \saythe\pagegrid@cur
+ %\say\bot@envir
+  \saythe\insertpenalties
+ %\say\@@topmark
+ %\say\saved@@topmark
+ %\say\@@firstmark
+ %\say\saved@@firstmark
+  \say\@@botmark
+ %\say\saved@@botmark
+  \saythe\pagegoal
+  \saythe\pagetotal
+  \saythe{\badness\@cclv}%
+  \expandafter\@ifx\expandafter{\csname output@-\the\execute@message@pen\endcsname\@tempa}{%
+   \say\@message@saved
+  }{%
+   \expandafter\say\csname output@\the\outputpenalty\endcsname
+  }%
+  \say\@toplist
+  \say\@botlist
+  \say\@dbltoplist
+  \say\@deferlist
+  {\tracingall\scrollmode
+   \showbox\@cclv
+   \showbox\@cclv@saved
+   \showbox\pagesofar
+   \showbox\footbox
+   \showbox\footins@saved
+   \showbox\footins
+   \showlists
+  }%
+ }{}%
+ \@ifnotrelax\@tempa{\@tempa}{\the\output}%
+}%
+\@ifxundefined{\outputdebug@sw}{%
+ \@booleanfalse\outputdebug@sw
+}{}%
+\output={\toggle@insert\output@holding\output@moving}%
+\def\output@holding{%
+\csname output@init@\bot@envir\endcsname
+\@if@exceed@pagegoal{\unvcopy\@cclv}{%
+  \setbox\z@\vbox{\unvcopy\@cclv}%
+\outputdebug@sw{{\tracingall\scrollmode\showbox\z@}}{}%
+\dimen@\ht\@cclv\advance\dimen@-\ht\z@
+\dead@cycle@repair\dimen@
+}{%
+\dead@cycle
+}%
+}%
+\def\@if@exceed@pagegoal#1{%
+ \begingroup
+  \setbox\z@\vbox{#1}%
+ \dimen@\ht\z@\advance\dimen@\dp\z@
+  \outputdebug@sw{\saythe\dimen@}{}%
+  \@ifdim{\dimen@>\pagegoal}{%
+  \setbox\z@\vbox{\@@mark{}\unvbox\z@}%
+   \splittopskip\topskip
+   \splitmaxdepth\maxdepth
+   \vbadness\@M
+   \vfuzz\maxdimen
+   \setbox\tw@\vsplit\z@ to\pagegoal
+  \outputdebug@sw{{\tracingall\scrollmode\showbox\tw@\showbox\z@}}{}%
+  \setbox\tw@\vbox{\unvbox\tw@}%
+  \@ifdim{\ht\tw@=\z@}{%
+   \ltxgrid@info{Found overly large chunk while preparing to move insertions. Attempting repairs}%
+    \aftergroup\true@sw
+  }{%
+    \aftergroup\false@sw
+  }%
+ }{%
+ \aftergroup\false@sw
+ }%
+\endgroup
+}%
+%% \item
+%%  Put down the same interrupts as for the non-trivial case above.
+\def\output@moving{%
+ \set@top@firstmark
+ \@ifnum{\outputpenalty=\do@newpage@pen}{%
+  \setbox\@cclv\vbox{%
+   \unvbox\@cclv
+   \setbox\z@\lastbox
+   \@ifdim{\ht\z@=\ht\@protection@box}{\box\lastbox}{\unskip}%
+  }%
+ }{}%
+ \@cclv@nontrivial@sw{%
+  \csname output@prep@\bot@envir \endcsname
+  \@makecol\csname output@column@\thepagegrid\endcsname
+  \protect@penalty\do@startcolumn@pen
+  \clearpage@sw{%
+   \protect@penalty\do@endpage@pen
+  }{}%
+  \csname output@post@\bot@envir \endcsname
+ }{%
+  {\setbox\z@\box\@cclv}%
+ }%
+ \set@colroom
+ \global\@mparbottom\z@
+ \global\@textfloatsheight\z@ %FIXME: this legacy LaTeX variable is set, but never queried!
+}%
+\def\@cclv@nontrivial@sw{%
+\@ifx@empty\@toplist{%
+\@ifx@empty\@botlist{%
+\@ifvoid\footins{%
+ \@ifvoid\@cclv{%
+  \false@sw
+ }{%
+\setbox\z@\vbox{\unvcopy\@cclv}%
+\@ifdim{\ht\z@=\topskip}{%
+\setbox\z@\vbox{%
+\unvbox\z@
+\setbox\z@\lastbox\dimen@\lastskip\unskip
+\@ifdim{\ht\z@=\ht\@protection@box}{%
+\advance\dimen@\ht\z@
+\@ifdim{\dimen@=\topskip}{%
+\aftergroup\true@sw
+}{%
+\aftergroup\false@sw
+}%
+}{%
+\aftergroup\false@sw
+}%
+}%
+{%
+\false@sw % Normal for \clearpage
+}{%
+\true@sw
+}%
+}{%
+\@ifdim{\ht\z@=\z@}{%
+\ltxgrid@info{Found trivial column. Discarding it}%
+\outputdebug@sw{{\tracingall\scrollmode\showbox\@cclv}}{}%
+\false@sw
+}{%
+\true@sw
+}%
+}%
+ }%
+}{%
+\true@sw
+}%
+}{%
+\true@sw
+}%
+}{%
+\true@sw
+}%
+}%
+\def\protect@penalty#1{\protection@box\penalty-#1\relax}%
+\newbox\@protection@box
+\setbox\@protection@box\vbox to1986sp{\vfil}%
+\def\protection@box{\nointerlineskip\copy\@protection@box}%
+\def\dead@cycle@repair#1{%
+\expandafter\do@@mark
+\expandafter{%
+\@@botmark
+}%
+\unvbox\@cclv
+\nointerlineskip
+\vbox to#1{\vss}%
+\@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
+}%
+\def\dead@cycle@repair@protected#1{%
+\expandafter\do@@mark
+\expandafter{%
+\@@botmark
+}%
+\begingroup
+  \unvbox\@cclv
+  \setbox\z@\lastbox % Remove protection box
+ \nointerlineskip
+  \advance#1-\ht\@protection@box
+ \vbox to#1{\vss}%
+  \protection@box % Reinsert protection box
+ \@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
+\endgroup
+}%
+\def\dead@cycle{%
+ \expandafter\do@@mark
+ \expandafter{%
+              \@@botmark
+             }%
+ \unvbox\@cclv
+ \@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
+}%
+\def\output@init@document{%
+ \@ifvoid\footbox{}{%
+  \global\advance\vsize-\ht\footbox
+  \global\advance\vsize-\dp\footbox
+ }%
+}%
+\def\output@prep@document{%
+ \@ifvoid\footbox{}{%
+  \setbox\footins\vbox{\unvbox\footbox\unvbox\footins}%
+ }%
+}%
+\def\output@post@document{}%
+\let\@opcol\@undefined
+\def\@makecol{%
+ \setbox\@outputbox\vbox{%
+  \boxmaxdepth\@maxdepth
+  \@tempdima\dp\@cclv
+  \unvbox\@cclv
+  \vskip-\@tempdima
+ }%
+ \xdef\@freelist{\@freelist\@midlist}\global\let\@midlist\@empty
+ \@combinefloats
+ \@combineinserts\@outputbox\footins
+  \set@adj@colht\dimen@
+  \count@\vbadness
+  \vbadness\@M
+  \setbox\@outputbox\vbox to\dimen@{%
+   \@texttop
+   \dimen@\dp\@outputbox
+   \unvbox\@outputbox
+   \vskip-\dimen@
+   \@textbottom
+  }%
+  \vbadness\count@
+ \global\maxdepth\@maxdepth
+}%
+\let\@makespecialcolbox\@undefined
+\def\@combineinserts#1#2{%
+ \setbox#1\vbox{%
+  \unvbox#1%
+  \vbox{%
+   \@ifvoid#2{}{%
+    \vskip\skip\footins
+    \color@begingroup
+    \normalcolor
+    \footnoterule
+    \nointerlineskip
+    \box#2%
+    \color@endgroup
+   }{}%
+  }%
+ }%
+}%
+\appdef\@floatplacement{%
+ \global\@fpmin\@fpmin
+}%
+\mathchardef\pagebreak@pen=\@M
+\expandafter\let\csname output@-\the\pagebreak@pen\endcsname\relax
+\mathchardef\do@startcolumn@pen=10005
+\@namedef{output@-\the\do@startcolumn@pen}{\do@startcolumn}%
+\def\do@startcolumn{%
+ \setbox\@cclv\vbox{\unvbox\@cclv\setbox\z@\lastbox\unskip}%
+ \clearpage@sw{\@clearfloatplacement}{\@floatplacement}%
+ \set@colroom
+ \@booleanfalse\pfloat@avail@sw
+ \begingroup
+  \@colht\@colroom
+  \@booleanfalse\float@avail@sw
+  \@tryfcolumn\test@colfloat
+  \float@avail@sw{\aftergroup\@booleantrue\aftergroup\pfloat@avail@sw}{}%
+ \endgroup
+ \fcolmade@sw{%
+  \setbox\@cclv\vbox{\unvbox\@outputbox\unvbox\@cclv}%
+  \outputpenalty-\pagebreak@pen % ask for a return visit, this time with insertions and all.
+  \dead@cycle
+ }{%
+  \begingroup
+   \let\@elt\@scolelt
+   \let\reserved@b\@deferlist\global\let\@deferlist\@empty\reserved@b
+  \endgroup
+  \clearpage@sw{%
+   \outputpenalty\@M
+  }{%
+   \outputpenalty\do@newpage@pen
+  }%
+  \dead@cycle
+ }%
+ \check@deferlist@stuck\do@startcolumn
+ \set@vsize
+}%
+\def\@scolelt#1{\def\@currbox{#1}\@addtonextcol}%
+\def\test@colfloat#1{%
+ \csname @floatselect@sw@\thepagegrid\endcsname#1{}{\@testtrue}%
+ \@if@sw\if@test\fi{}{\aftergroup\@booleantrue\aftergroup\float@avail@sw}%
+}%
+\def\@addtonextcol{%
+ \begingroup
+  \@insertfalse
+  \@setfloattypecounts
+  \csname @floatselect@sw@\thepagegrid\endcsname\@currbox{%
+   \@ifnum{\@fpstype=8 }{}{%
+     \@ifnum{\@fpstype=24 }{}{%
+       \@flsettextmin
+       \@reqcolroom \ht\@currbox
+       \advance \@reqcolroom \@textmin
+       \advance \@reqcolroom \vsize % take into account split insertions
+       \advance \@reqcolroom -\pagegoal
+       \@ifdim{\@colroom>\@reqcolroom}{%
+         \@flsetnum \@colnum
+         \@ifnum{\@colnum>\z@}{%
+            \@bitor\@currtype\@deferlist
+            \@if@sw\if@test\fi{}{%
+              \@addtotoporbot
+            }%
+         }{}%
+       }{}%
+     }%
+   }%
+  }{}%
+  \@if@sw\if@insert\fi{}{%
+    \@cons\@deferlist\@currbox
+  }%
+ \endgroup
+}%
+\mathchardef\do@startpage@pen=10006
+\@namedef{output@-\the\do@startpage@pen}{\do@startpage}%
+\def\do@startpage{%
+ \setbox\@cclv\vbox{\unvbox\@cclv\setbox\z@\lastbox\unskip}%
+ \clearpage@sw{\@clearfloatplacement}{\@dblfloatplacement}%
+ \set@colht
+ \@booleanfalse\pfloat@avail@sw
+ \begingroup
+  \@booleanfalse\float@avail@sw
+  \@tryfcolumn\test@dblfloat
+  \float@avail@sw{\aftergroup\@booleantrue\aftergroup\pfloat@avail@sw}{}%
+ \endgroup
+ \fcolmade@sw{%
+  \global\setbox\pagesofar\vbox{\unvbox\pagesofar\unvbox\@outputbox}%
+  \@combinepage
+  \@combinedblfloats
+  \@outputpage
+  \global\pagegrid@cur\@ne
+  \protect@penalty\do@startpage@pen
+ }{%
+  \begingroup
+   \@booleanfalse\float@avail@sw
+   \let\@elt\@sdblcolelt
+   \let\reserved@b\@deferlist\global\let\@deferlist\@empty\reserved@b
+  \endgroup
+  \@ifdim{\@colht=\textheight}{% No luck...
+   \pfloat@avail@sw{% ...but a float *was* available!
+    \forcefloats@sw{%
+     \ltxgrid@warn{Forced dequeueing of floats stalled}%
+    }{%
+     \ltxgrid@warn{Dequeueing of floats stalled}%
+    }%
+   }{}%
+  }{}%
+  \outputpenalty\@M
+  \dead@cycle
+ }%
+ \check@deferlist@stuck\do@startpage
+ \set@colht
+}%
+\def\@sdblcolelt#1{\def\@currbox{#1}\@addtodblcol}%
+\def\test@dblfloat#1{%
+ \@if@notdblfloat{#1}{\@testtrue}{}%
+ \@if@sw\if@test\fi{}{\aftergroup\@booleantrue\aftergroup\float@avail@sw}%
+}%
+\def\@if@notdblfloat#1{\@ifdim{\wd#1<\textwidth}}%
+\@booleanfalse\forcefloats@sw
+\def\@addtodblcol{%
+ \begingroup
+  \@if@notdblfloat{\@currbox}{%
+   \false@sw
+  }{%
+   \@setfloattypecounts
+   \@getfpsbit \tw@
+   \@bitor \@currtype \@deferlist
+   \@if@sw\if@test\fi{%
+    \false@sw
+   }{%
+    \@ifodd\@tempcnta{%
+     \aftergroup\@booleantrue\aftergroup\float@avail@sw
+     \@flsetnum \@dbltopnum
+     \@ifnum{\@dbltopnum>\z@}{%
+       \@ifdim{\@dbltoproom>\ht\@currbox}{%
+        \true@sw
+       }{%
+        \@ifnum{\@fpstype<\sixt@@n}{%
+         \begingroup
+          \advance \@dbltoproom \@textmin
+          \@ifdim{\@dbltoproom>\ht\@currbox}{%
+           \endgroup\true@sw
+          }{%
+           \endgroup\false@sw
+          }%
+        }{%
+         \false@sw
+        }%
+       }%
+     }{%
+      \false@sw
+     }%
+    }{%
+     \false@sw
+    }%
+   }%
+  }%
+  {%
+   \@tempdima -\ht\@currbox
+   \advance\@tempdima
+    -\@ifx{\@dbltoplist\@empty}{\dbltextfloatsep}{\dblfloatsep}%
+   \global \advance \@dbltoproom \@tempdima
+   \global \advance \@colht \@tempdima
+   \global \advance \@dbltopnum \m@ne
+   \@cons \@dbltoplist \@currbox
+  }{%
+   \@cons \@deferlist \@currbox
+  }%
+ \endgroup
+}%
+\def\@tryfcolumn#1{%
+  \global\@booleanfalse\fcolmade@sw
+  \@ifx@empty\@deferlist{}{%
+    \global\let\@trylist\@deferlist
+    \global\let\@failedlist\@empty
+    \begingroup
+      \dimen@\vsize\advance\dimen@-\pagegoal\@ifdim{\dimen@>\z@}{%
+       \advance\@fpmin-\dimen@
+      }{}%
+      \def\@elt{\@xtryfc#1}\@trylist
+    \endgroup
+    \fcolmade@sw{%
+      \global\setbox\@outputbox\vbox{\vskip \@fptop}%
+      \let \@elt \@wtryfc \@flsucceed
+      \global\setbox\@outputbox\vbox{\unvbox\@outputbox
+        \unskip \vskip \@fpbot
+      }%
+      \let \@elt \relax
+      \xdef\@deferlist{\@failedlist\@flfail}%
+      \xdef\@freelist{\@freelist\@flsucceed}%
+    }{}%
+  }%
+}%
+\def\@wtryfc #1{%
+  \global\setbox\@outputbox\vbox{\unvbox\@outputbox
+    \box #1\vskip\@fpsep
+  }%
+}%
+\def\@xtryfc#1#2{%
+  \@next\reserved@a\@trylist{}{}% trim \@trylist. Ugly!
+  \@currtype \count #2%
+  \divide\@currtype\@xxxii\multiply\@currtype\@xxxii
+  \@bitor \@currtype \@failedlist
+  \@testfp #2%
+  #1#2%
+  \@ifdim{\ht #2>\@colht   }{\@testtrue}{}%
+  \@if@sw\if@test\fi{%
+   \@cons\@failedlist #2%
+  }{%
+   \begingroup
+     \gdef\@flsucceed{\@elt #2}%
+     \global\let\@flfail\@empty
+     \@tempdima\ht #2%
+     \def \@elt {\@ztryfc#1}\@trylist
+     \@ifdim{\@tempdima >\@fpmin}{%
+       \global\@booleantrue\fcolmade@sw
+     }{%
+       \@cons\@failedlist #2%
+     }%
+   \endgroup
+   \fcolmade@sw{%
+     \let \@elt \@gobble
+   }{}%
+  }%
+}%
+\def\@ztryfc #1#2{%
+  \@tempcnta \count#2%
+  \divide\@tempcnta\@xxxii\multiply\@tempcnta\@xxxii
+  \@bitor \@tempcnta {\@failedlist \@flfail}%
+  \@testfp #2%
+  #1#2%
+  \@tempdimb\@tempdima
+  \advance\@tempdimb \ht#2\advance\@tempdimb\@fpsep
+  \@ifdim{\@tempdimb >\@colht}{%
+    \@testtrue
+  }{}%
+  \@if@sw\if@test\fi{%
+    \@cons\@flfail #2%
+  }{%
+    \@cons\@flsucceed #2%
+    \@tempdima\@tempdimb
+  }%
+}%
+\def\newpage@prep{%
+  \if@noskipsec
+    \ifx \@nodocument\relax
+      \leavevmode
+      \global \@noskipsecfalse
+    \fi
+  \fi
+  \if@inlabel
+    \leavevmode
+    \global \@inlabelfalse
+  \fi
+  \if@nobreak \@nobreakfalse \everypar{}\fi
+  \par
+}%
+\def \newpage {%
+ \newpage@prep
+ \do@output@MVL{%
+  \vfil
+  \penalty-\pagebreak@pen
+ }%
+}%
+\def\clearpage{%
+ \newpage@prep
+ \do@output@MVL{%
+  \vfil
+  \penalty-\pagebreak@pen
+  \global\@booleantrue\clearpage@sw
+  \protect@penalty\do@startcolumn@pen
+  \protect@penalty\do@endpage@pen
+ }%
+ \do@output@MVL{%
+  \global\@booleanfalse\clearpage@sw
+ }%
+}%
+\def\cleardoublepage{%
+ \clearpage
+ \@if@sw\if@twoside\fi{%
+  \@ifodd\c@page{}{%
+   \null\clearpage
+  }%
+ }{}%
+}%
+\@booleanfalse\clearpage@sw
+\mathchardef\do@endpage@pen=10007
+\@namedef{output@-\the\do@endpage@pen}{%
+ \csname end@column@\thepagegrid\endcsname
+}%
+\mathchardef\do@newpage@pen=10001
+\expandafter\let\csname output@-\the\do@newpage@pen\endcsname\relax
+\def\@clearfloatplacement{%
+ \global\@topnum     \maxdimen % \c@topnumber
+ \global\@toproom    \maxdimen % \topfraction\@colht
+ \global\@botnum     \maxdimen % \c@bottomnumber
+ \global\@botroom    \maxdimen % \bottomfraction\@colht
+ \global\@colnum     \maxdimen % \c@totalnumber
+ \global\@dbltopnum  \maxdimen % \c@dbltopnumber
+ \global\@dbltoproom \maxdimen % \dbltopfraction\@colht
+ \global\@textmin    \z@       % \@colht\advance \@textmin -\@dbltoproom
+ \global\@fpmin      \z@       % \dblfloatpagefraction\textheight
+ \let\@testfp\@gobble
+ \appdef\@setfloattypecounts{\@fpstype16\advance\@fpstype\m@ne}%
+}%
+\let\@doclearpage\@undefined
+\let\@makefcolumn\@undefined
+\def\clr@top@firstmark{%
+ \global\let\saved@@topmark\@undefined
+ \global\let\saved@@firstmark\@empty
+ \global\let\saved@@botmark\@empty
+}%
+\clr@top@firstmark
+\def\set@top@firstmark{%
+ \@ifxundefined\saved@@topmark{\expandafter\gdef\expandafter\saved@@topmark\expandafter{\@@topmark}}{}%
+ \@if@empty\saved@@firstmark{\expandafter\gdef\expandafter\saved@@firstmark\expandafter{\@@firstmark}}{}%
+ \@if@empty\@@botmark{}{\expandafter\gdef\expandafter\saved@@botmark\expandafter{\@@botmark}}%
+}%
+\appdef\@outputpage{%
+ \clr@top@firstmark
+}%
+\def\@float#1{%
+ \@ifnextchar[{%}]{%Brace-matching klootch
+  \@yfloat\width@float{#1}%
+ }{%
+  \@ifxundefined@cs{fps@#1}{%
+   \edef\reserved@a{\noexpand\@yfloat\noexpand\width@float{#1}[\csname fps@\endcsname]}\reserved@a
+  }{%
+   \edef\reserved@a{\noexpand\@yfloat\noexpand\width@float{#1}[\csname fps@#1\endcsname]}\reserved@a
+  }%
+ }%
+}%
+\def\@dblfloat#1{%
+ \@ifnum{\pagegrid@col=\@ne}{%
+  \@float{#1}%
+ }{%
+  \@ifnextchar[{%}]{%Brace-matching klootch
+   \@yfloat\widthd@float{#1}%
+  }{%
+   \@ifxundefined@cs{fpsd@#1}{%
+    \edef\reserved@a{\noexpand\@yfloat\noexpand\widthd@float{#1}[\csname fpsd@\endcsname]}\reserved@a
+   }{%
+    \edef\reserved@a{\noexpand\@yfloat\noexpand\widthd@float{#1}[\csname fpsd@#1\endcsname]}\reserved@a
+   }%
+  }%
+ }%
+}%
+\def\@yfloat#1#2[#3]{%
+ \@xfloat{#2}[#3]%
+ \hsize#1\linewidth\hsize
+ \minipagefootnote@init
+}%
+\def\fps@{tbp}%
+\def\fpsd@{tp}%
+\def\width@float{\columnwidth}%
+\def\widthd@float{\textwidth}%
+\def\end@float{%
+ \end@@float{%
+  \check@currbox@count
+ }%
+}%
+\def\end@dblfloat{%
+ \@ifnum{\pagegrid@col=\@ne}{%
+  \end@float
+ }{%
+  \end@@float{%
+   \@boxfpsbit\@currbox{1}\@ifodd\@tempcnta{\global\advance\count\@currbox\m@ne}{}%
+   \@boxfpsbit\@currbox{4}\@ifodd\@tempcnta{\global\advance\count\@currbox-4\relax}{}%
+   \global\wd\@currbox\textwidth % Klootch
+   \check@currbox@count
+  }%
+ }%
+}%
+\def\end@@float#1{%
+ \minipagefootnote@here
+ \@endfloatbox
+ #1%
+ \@ifnum{\@floatpenalty <\z@}{%
+  \@largefloatcheck
+  \@cons\@currlist\@currbox
+  \@ifnum{\@floatpenalty <-\@Mii}{%
+   \do@output@cclv{\@add@float}%
+  }{%
+   \vadjust{\do@output@cclv{\@add@float}}%
+   \@Esphack
+  }%
+ }{}%
+}%
+\def\check@currbox@count{%
+ \@ifnum{\count\@currbox>\z@}{%
+\count@\count\@currbox\divide\count@\sixt@@n\multiply\count@\sixt@@n
+\@tempcnta\count\@currbox\advance\@tempcnta-\count@
+\@ifnum{\@tempcnta=\z@}{%
+   \ltxgrid@warn{Float cannot be placed}%
+}{}%
+ }{%
+  % Is a \marginpar
+ }%
+}%
+\providecommand\minipagefootnote@init{}%
+\providecommand\minipagefootnote@here{}%
+\let\@specialoutput\@undefined
+\def\@add@float{%
+ \@pageht\ht\@cclv\@pagedp\dp\@cclv
+ \unvbox\@cclv
+ \@next\@currbox\@currlist{%
+  \csname @floatselect@sw@\thepagegrid\endcsname\@currbox{%
+   \@ifnum{\count\@currbox>\z@}{%
+    \advance \@pageht \@pagedp
+    \advance \@pageht \vsize \advance \@pageht -\pagegoal % do not assume \holdinginserts is cleared!
+    \@addtocurcol % Commit an h float
+  }{%
+   \@addmarginpar
+  }%
+  }{%
+   \@resethfps
+   \@cons\@deferlist\@currbox
+  }%
+ }{\@latexbug}%
+ \@ifnum{\outputpenalty<\z@}{%
+  \@if@sw\if@nobreak\fi{%
+   \nobreak
+  }{%
+   \addpenalty \interlinepenalty
+  }%
+ }{}%
+ \set@vsize
+}%
+\let\@reinserts\@undefined
+\def \@addtocurcol {%
+   \@insertfalse
+   \@setfloattypecounts
+   \ifnum \@fpstype=8
+   \else
+     \ifnum \@fpstype=24
+     \else
+       \@flsettextmin
+       \advance \@textmin \@textfloatsheight
+       \@reqcolroom \@pageht
+       \ifdim \@textmin>\@reqcolroom
+         \@reqcolroom \@textmin
+       \fi
+       \advance \@reqcolroom \ht\@currbox
+       \ifdim \@colroom>\@reqcolroom
+         \@flsetnum \@colnum
+         \ifnum \@colnum>\z@
+           \@bitor\@currtype\@deferlist
+           \if@test
+           \else
+             \@bitor\@currtype\@botlist
+             \if@test
+               \@addtobot
+             \else
+               \ifodd \count\@currbox
+                 \advance \@reqcolroom \intextsep
+                 \ifdim \@colroom>\@reqcolroom
+                   \global \advance \@colnum \m@ne
+                   \global \advance \@textfloatsheight \ht\@currbox
+                   \global \advance \@textfloatsheight 2\intextsep
+                   \@cons \@midlist \@currbox
+                   \if@nobreak
+                     \nobreak
+                     \@nobreakfalse
+                     \everypar{}%
+                   \else
+                     \addpenalty \interlinepenalty
+                   \fi
+                   \vskip \intextsep
+                   \unvbox\@currbox %AO
+                   \penalty\interlinepenalty
+                   \vskip\intextsep
+                   \ifnum\outputpenalty <-\@Mii \vskip -\parskip\fi
+                   \outputpenalty \z@
+                   \@inserttrue
+                 \fi
+               \fi
+               \if@insert
+               \else
+                 \@addtotoporbot
+               \fi
+             \fi
+           \fi
+         \fi
+       \fi
+     \fi
+   \fi
+   \if@insert
+   \else
+     \@resethfps
+     \@cons\@deferlist\@currbox
+   \fi
+}%
+\@twocolumnfalse
+\let\@twocolumntrue\@twocolumnfalse
+\def\@addmarginpar{%
+ \@next\@marbox\@currlist{%
+  \@cons\@freelist\@marbox\@cons\@freelist\@currbox
+ }\@latexbug
+ \setbox\@marbox\hb@xt@\columnwidth{%
+  \csname @addmarginpar@\thepagegrid\endcsname{%
+   \hskip-\marginparsep\hskip-\marginparwidth
+   \box\@currbox
+  }{%
+   \hskip\columnwidth\hskip\marginparsep
+   \box\@marbox
+  }%
+  \hss
+ }%
+ \setbox\z@\box\@currbox
+    \@tempdima\@mparbottom
+    \advance\@tempdima -\@pageht
+    \advance\@tempdima\ht\@marbox
+ \@ifdim{\@tempdima >\z@}{%
+   \@latex@warning@no@line {Marginpar on page \thepage\space moved}%
+ }{%
+   \@tempdima\z@
+ }%
+    \global\@mparbottom\@pageht
+    \global\advance\@mparbottom\@tempdima
+    \global\advance\@mparbottom\dp\@marbox
+    \global\advance\@mparbottom\marginparpush
+    \advance\@tempdima -\ht\@marbox
+    \global\setbox \@marbox
+                   \vbox {\vskip \@tempdima
+                          \box \@marbox}%
+    \global \ht\@marbox \z@
+    \global \dp\@marbox \z@
+    \kern -\@pagedp
+    \nointerlineskip
+  \box\@marbox
+    \nointerlineskip
+    \hbox{\vrule \@height\z@ \@width\z@ \@depth\@pagedp}%
+}%
+\newenvironment{turnpage}{%
+ \def\width@float{\textheight}%
+ \def\widthd@float{\textheight}%
+ \appdef\@endfloatbox{%
+  \@ifxundefined\@currbox{%
+   \ltxgrid@warn{Cannot rotate! Not a float}%
+  }{%
+   \setbox\@currbox\vbox to\textwidth{\vfil\unvbox\@currbox\vfil}%
+   \global\setbox\@currbox\vbox{\rotatebox{90}{\box\@currbox}}%
+  }%
+ }%
+}{%
+}%
+\def\rotatebox@dummy#1#2{%
+ \ltxgrid@warn{You must load the graphics or graphicx package in order to use the turnpage environment}%
+ #2%
+}%
+\AtBeginDocument{%
+ \@ifxundefined\rotatebox{\let\rotatebox\rotatebox@dummy}{}%
+}%
+\@namedef{output@-1073741824}{%"40000000
+ \deadcycles\z@
+ \setbox\z@\box\@cclv
+}%
+\mathchardef\save@column@pen=10016
+\@namedef{output@-\the\save@column@pen}{\save@column}%
+\let \@cclv@saved \@holdpg
+\let \@holdpg \@undefined
+\def\save@column{%
+ \@ifvoid\@cclv@saved{%
+\set@top@firstmark
+\global\@topmark@saved\expandafter{\@@topmark}%
+ }{}%
+\global\setbox\@cclv@saved\vbox{%
+  \@ifvoid\@cclv@saved{}{%
+ \unvbox\@cclv@saved
+ \marry@baselines
+}%
+\unvbox\@cclv
+\lose@breaks
+\setbox\z@\lastbox
+}%
+}%
+\newtoks\@topmark@saved
+\def\prep@cclv{%
+ \setbox\z@\box\@cclv
+ \setbox\@cclv\box\@cclv@saved
+ \vbadness\@M
+}%
+\mathchardef\save@column@insert@pen=10017
+\@namedef{output@-\the\save@column@insert@pen}{\toggle@insert\savecolumn@holding\savecolumn@moving}%
+\def\savecolumn@holding{%
+\@if@exceed@pagegoal{\unvcopy\@cclv\setbox\z@\lastbox}{%
+  \setbox\z@\vbox{\unvcopy\@cclv\setbox\z@\lastbox}%
+  \outputdebug@sw{{\tracingall\scrollmode\showbox\z@}}{}%
+\dimen@\ht\@cclv\advance\dimen@-\ht\z@
+\dead@cycle@repair@protected\dimen@
+}{%
+\dead@cycle
+}%
+}%
+\def\savecolumn@moving{%
+ \@cclv@nontrivial@sw{%
+  \save@column
+ }{%
+  {\setbox\z@\box\@cclv}%
+ }%
+\@ifvoid\footins{}{%
+\outputdebug@sw{{\tracingall\scrollmode\showbox\footins}}{}%
+\global\setbox\footins@saved\vbox{\unvbox\footins@saved\marry@baselines\unvbox\footins}%
+\protect@penalty\save@column@insert@pen
+}%
+}%
+\newbox\footins@saved
+\mathchardef\save@message@pen=10018
+\@namedef{output@-\the\save@message@pen}{\save@message}%
+\def\save@message{%
+ \setbox\z@\box\@cclv %FIXME: what if \box\@cclv is not empty?
+ \toks@\expandafter{\@@firstmark}%
+ \expandafter\gdef\expandafter\@message@saved\expandafter{\the\toks@}%
+ \expandafter\do@@mark\expandafter{\the\@topmark@saved}%
+}%
+\gdef\@message@saved{}%
+\mathchardef\execute@message@pen=10019
+\@namedef{output@-\the\execute@message@pen}{\@message@saved}%
+\def\execute@message{%
+ \@execute@message\save@column@pen %Implicit #2
+}%
+\def\execute@message@insert#1{%
+ \@execute@message\save@column@insert@pen{\setbox\footins\box\footins@saved#1}%
+}%
+\long\def\@execute@message#1#2{%
+ \begingroup
+  \dimen@\prevdepth\@ifdim{\dimen@<\z@}{\dimen@\z@}{}%
+  \setbox\z@\vbox{%
+   \protect@penalty#1%
+   \protection@box
+   \toks@{\prep@cclv#2}%
+   \@@mark{\the\toks@}%
+   \penalty-\save@message@pen
+   \setbox\z@\null\dp\z@\dimen@\ht\z@-\dimen@
+   \nointerlineskip\box\z@
+   \penalty-\execute@message@pen
+  }\unvbox\z@
+ \endgroup
+}%
+\def\do@output@cclv{\execute@message}%
+\def\do@output@MVL#1{%
+ \@ifvmode{%
+  \begingroup\execute@message{\unvbox\@cclv#1}\endgroup
+ }{%
+  \@ifhmode{%
+   \vadjust{\execute@message{\unvbox\@cclv#1}}%
+  }{%
+   \@latexerr{\string\do@output@MVL\space cannot be executed in this mode!}\@eha
+  }%
+ }%
+}%
+\def\lose@breaks{%
+ \loopwhile{%
+  \count@\lastpenalty
+  \@ifnum{\count@=\@M}{% 10000 is a TeX magic number!
+   \unpenalty\true@sw
+  }{%
+   \false@sw
+  }%
+ }%
+}%
+\def\removestuff{\do@output@MVL{\unskip\unpenalty}}%
+\def\removephantombox{%
+ \vadjust{%
+  \execute@message{%
+   \unvbox\@cclv
+   \setbox\z@\lastbox
+   \unskip
+   \unskip
+   \unpenalty
+   \penalty\predisplaypenalty
+   \vskip\abovedisplayskip
+  }%
+ }%
+}%
+\def\addstuff#1#2{\edef\@tempa{\noexpand\do@output@MVL{\noexpand\@addstuff{#1}{#2}}}\@tempa}%
+\def\@addstuff#1#2{%
+ \skip@\lastskip\unskip
+ \count@\lastpenalty\unpenalty
+ \@if@empty{#1}{}{\penalty#1\relax}%
+ \@ifnum{\count@=\z@}{}{\penalty\count@}%
+ \vskip\skip@
+ \@if@empty{#2}{}{\vskip#2\relax}%
+}%
+\def\replacestuff#1#2{\edef\@tempa{\noexpand\do@output@MVL{\noexpand\@replacestuff{#1}{#2}}}\@tempa}%
+\def\@replacestuff#1#2{%
+ \skip@\lastskip\unskip
+ \count@\lastpenalty\unpenalty
+ \@if@empty{#1}{}{%
+ \@ifnum{\count@>\@M}{}{%
+   \@ifnum{\count@=\z@}{\count@=#1\relax}{%
+    \@ifnum{\count@<#1\relax}{}{%
+     \count@=#1\relax
+    }%
+   }%
+ }%
+ }%
+ \@ifnum{\count@=\z@}{}{\penalty\count@}%
+ \@if@empty{#2}{}{%
+  \@tempskipa#2\relax
+  \@ifdim{\z@>\@tempskipa}{%
+   \advance\skip@-\@tempskipa
+  }{%
+   \@ifdim{\skip@>\@tempskipa}{}{%
+    \skip@\@tempskipa
+   }%
+  }%
+ }%
+ \vskip\skip@
+}%
+\def\move@insertions{\global\holdinginserts\z@}%
+\def\hold@insertions{\global\holdinginserts\@ne}%
+\hold@insertions
+\def\move@insert@sw{\@ifnum{\holdinginserts=\z@}}%
+\def\toggle@insert#1#2{%
+ \@ifnum{\holdinginserts=\z@}{\hold@insertions#2}{\move@insertions#1}%
+}%
+\def\do@columngrid#1#2{%
+ \par
+ \expandafter\let\expandafter\@tempa\csname open@column@#1\endcsname
+ \@ifx{\relax\@tempa}{%
+  \ltxgrid@warn{Unknown page grid #1. No action taken}%
+ }{%
+  \do@output@MVL{\start@column{#1}{#2}}%
+ }%
+}%
+\def\start@column#1#2{%
+ \def\@tempa{#1}\@ifx{\@tempa\thepagegrid}{%
+  \ltxgrid@info{Already in page grid \thepagegrid. No action taken}%
+ }{%
+  \expandafter\execute@message@insert
+  \expandafter{%
+               \csname shut@column@\thepagegrid\expandafter\endcsname
+               \csname open@column@#1\endcsname{#2}%
+               \set@vsize
+             }%
+ }%
+}%
+\def\thepagegrid{one}%
+\newbox\pagesofar
+\newbox\footbox
+\newcommand\onecolumngrid{\do@columngrid{one}{\@ne}}%
+\let\onecolumn\@undefined
+\def\open@column@one#1{%
+ \unvbox\pagesofar
+ \gdef\thepagegrid{one}%
+ \global\pagegrid@col#1%
+ \global\pagegrid@cur\@ne
+ \set@colht
+ \set@column@hsize\pagegrid@col
+}%
+\def\shut@column@one{%
+ \@makecol
+ \global\setbox\pagesofar\vbox{\unvbox\@outputbox\recover@footins}%
+ \set@colht
+}%
+\def\float@column@one{%
+ \@makecol
+ \@outputpage
+}%
+\def\end@column@one{%
+ \unvbox\@cclv\setbox\z@\lastbox
+ \protect@penalty\do@newpage@pen
+}%
+\def\output@column@one{%
+ \@outputpage
+}%
+\def\@addmarginpar@one{%
+ \@if@sw\if@mparswitch\fi{%
+  \@ifodd\c@page{\false@sw}{\true@sw}%
+ }{\false@sw}{%
+  \@if@sw\if@reversemargin\fi{\false@sw}{\true@sw}%
+ }{%
+  \@if@sw\if@reversemargin\fi{\true@sw}{\false@sw}%
+ }%
+}%
+\def\@floatselect@sw@one#1{\true@sw}%
+\def\onecolumngrid@push{%
+ \do@output@MVL{%
+  \@ifnum{\pagegrid@col=\@ne}{%
+   \global\let\restorecolumngrid\@empty
+  }{%
+   \xdef\restorecolumngrid{%
+    \noexpand\start@column{\thepagegrid}{\the\pagegrid@col}%
+   }%
+   \start@column{one}{\@ne}%
+  }%
+ }%
+}%
+\def\onecolumngrid@pop{%
+ \do@output@MVL{\restorecolumngrid}%
+}%
+\newcommand\twocolumngrid{\do@columngrid{mlt}{\tw@}}%
+\let\twocolumn\@undefined
+\let\@topnewpage\@undefined
+\def\open@column@mlt#1{%
+ \gdef\thepagegrid{mlt}%
+ \global\pagegrid@col#1%
+ \global\pagegrid@cur\@ne
+ \set@column@hsize\pagegrid@col
+ \set@colht
+}%
+\def\shut@column@mlt{%
+ \@cclv@nontrivial@sw{%
+\@makecol
+\@ifnum{\pagegrid@cur<\pagegrid@col}{%
+\expandafter\global\expandafter\setbox\csname col@\the\pagegrid@cur\endcsname\box\@outputbox
+\global\advance\pagegrid@cur\@ne
+}{}%
+ }{%
+  {\setbox\z@\box\@cclv}%
+ }%
+\@ifnum{\pagegrid@cur>\@ne}{%
+\csname balance@\the\pagegrid@col\endcsname
+\grid@column{}%
+\@combinepage
+\@combinedblfloats
+\global\setbox\pagesofar\box\@outputbox
+ }{}%
+ \set@colht
+}%
+\def\float@column@mlt{%
+  \@combinepage
+  \@combinedblfloats
+  \@outputpage
+  \global\pagegrid@cur\@ne
+  \protect@penalty\do@startpage@pen
+}%
+\def\end@column@mlt{%
+ \@ifx@empty\@toplist{%
+  \@ifx@empty\@botlist{%
+   \@ifx@empty\@dbltoplist{%
+    \@ifx@empty\@deferlist{%
+     \@ifnum{\pagegrid@cur=\@ne}{%
+      \false@sw
+     }{%
+      \true@sw
+     }%
+    }{%
+     \true@sw
+    }%
+   }{%
+    \true@sw
+   }%
+  }{%
+   \true@sw
+  }%
+ }{%
+  \true@sw
+ }%
+ % true = kick out a column and try again
+ {%
+  \@cclv@nontrivial@sw{%
+   \unvbox\@cclv\setbox\z@\lastbox
+  }{%
+   \unvbox\@cclv\setbox\z@\lastbox\unskip\null
+  }%
+  \protect@penalty\do@newpage@pen
+  \protect@penalty\do@endpage@pen
+ }{%
+  \unvbox\@cclv\setbox\z@\lastbox
+ }%
+}%
+\def\output@column@mlt{%
+ \@ifnum{\pagegrid@cur<\pagegrid@col}{%
+  \expandafter\global\expandafter\setbox\csname col@\the\pagegrid@cur\endcsname\box\@outputbox
+  \global\advance\pagegrid@cur\@ne
+ }{%
+  \set@adj@colht\dimen@
+  \grid@column{}%{\dimen@}%
+  \@combinepage
+  \@combinedblfloats
+  \@outputpage
+  \global\pagegrid@cur\@ne
+  \protect@penalty\do@startpage@pen
+ }%
+}%
+\let\@outputdblcol\@undefined
+\def\@floatselect@sw@mlt#1{\@if@notdblfloat{#1}}%
+\def\@addmarginpar@mlt{% emits a boolean
+ \@ifnum{\pagegrid@cur=\@ne}%
+}%
+\let\pagegrid@cur\col@number
+\let\col@number\@undefined
+\newcount\pagegrid@col
+\pagegrid@cur\@ne
+\expandafter\let\csname col@\the\pagegrid@cur\endcsname\@leftcolumn
+\let\@leftcolumn\@undefined
+\pagegrid@col\tw@
+\def\pagegrid@init{%
+ \advance\pagegrid@cur\@ne
+ \@ifnum{\pagegrid@cur<\pagegrid@col}{%
+  \csname newbox\expandafter\endcsname\csname col@\the\pagegrid@cur\endcsname
+  \pagegrid@init
+ }{%
+ }%
+}%
+\appdef\class@documenthook{%
+ \pagegrid@init
+}%
+\def\grid@column#1{%
+ \global\setbox\@outputbox\vbox{%
+  \hb@xt@\textwidth{%
+   \vrule\@height\z@\@width\z@\@if@empty{#1}{}{\@depth#1}%
+   \pagegrid@cur\@ne
+   \append@column
+   \box@column\@outputbox
+  }%
+  \vskip\z@skip % FIXME: page depth!
+ }%
+}%
+\def\append@column{%
+ \@ifnum{\pagegrid@cur<\pagegrid@col}{%
+  \expandafter\box@column\csname col@\the\pagegrid@cur\endcsname
+  \hfil
+  \vrule \@width\columnseprule
+  \hfil
+  \advance\pagegrid@cur\@ne
+  \append@column
+ }{%
+ }%
+}%
+\def\box@column#1{%
+ \raise\topskip
+ \hb@xt@\columnwidth{%
+  \dimen@\ht#1\@ifdim{\dimen@>\@colht}{\dimen@\@colht}{}%
+  \count@\vbadness\vbadness\@M
+  \dimen@ii\vfuzz\vfuzz\maxdimen
+  \outputdebug@sw{\saythe\@colht\saythe\dimen@}{}%
+  \vtop to\dimen@
+  {\hrule\@height\z@
+   \unvbox#1%
+   \raggedcolumn@skip
+  }%
+  \vfuzz\dimen@ii
+  \vbadness\count@
+  \hss
+ }%
+}%
+\def\marry@baselines{%
+ \vskip\marry@skip\relax
+}%
+\gdef\marry@skip{\z@skip}%
+\def\set@marry@skip{%
+\begingroup
+  \skip@\baselineskip\advance\skip@-\topskip
+  \@ifdim{\skip@>\z@}{%
+   \xdef\marry@skip{\the\skip@}%
+  }{}%
+ \endgroup
+}%
+\AtBeginDocument{%
+ \@ifxundefined\raggedcolumn@sw{\@booleanfalse\raggedcolumn@sw}{}%
+}%
+\def\raggedcolumn@skip{%
+ \vskip\z@\raggedcolumn@sw{\@plus.0001fil\@minus.0001fil}{}\relax
+}%
+\def\@combinepage{%
+ \@ifvoid\pagesofar{}{%
+  \setbox\@outputbox\vbox{%
+   \unvbox\pagesofar
+   \marry@baselines
+   \unvbox\@outputbox
+  }%
+ }%
+ \@ifvoid\footbox{}{%
+  \setbox\@outputbox\vbox{%
+   \unvbox\@outputbox
+   \marry@baselines
+   \unvbox\footbox
+  }%
+ }%
+}%
+\def\@combinedblfloats{%
+ \@ifx@empty\@dbltoplist{}{%
+  \setbox\@tempboxa\vbox{}%
+  \let\@elt\@comdblflelt\@dbltoplist
+  \let\@elt\relax\xdef\@freelist{\@freelist\@dbltoplist}%
+  \global\let\@dbltoplist\@empty
+  \setbox\@outputbox\vbox{%
+   %\boxmaxdepth\maxdepth   %% probably not needed, CAR
+   \unvbox\@tempboxa\unskip
+   \@ifnum{\@dbltopnum>\m@ne}{\dblfigrule}{}%FIXME: how is \@dbltopnum maintained?
+   \vskip\dbltextfloatsep
+   \unvbox\@outputbox
+  }%
+ }%
+}%
+\def\set@column@hsize#1{%
+ \pagegrid@col#1%
+ \global\columnwidth\textwidth
+ \global\advance\columnwidth\columnsep
+ \global\divide\columnwidth\pagegrid@col
+ \global\advance\columnwidth-\columnsep
+ \global\hsize\columnwidth
+ \global\linewidth\columnwidth
+ \skip@\baselineskip\advance\skip@-\topskip
+ \@ifnum{\pagegrid@col>\@ne}{\set@marry@skip}{}%
+}%
+\def\set@colht{%
+ \set@adj@textheight\@colht
+ \global\let\enlarge@colroom\@empty
+ \set@colroom
+}%
+\def\set@adj@textheight#1{%
+ #1\textheight
+ \def\@elt{\adj@page#1}%
+ \@booleantrue\firsttime@sw\@dbltoplist
+ \let\@elt\relax
+ \global#1#1\relax
+ \outputdebug@sw{\saythe#1}{}%
+}%
+\def\set@colroom{%
+ \set@adj@colht\@colroom
+ \@if@empty\enlarge@colroom{}{%
+  \global\advance\@colroom\enlarge@colroom\relax
+ }%
+ \outputdebug@sw{\saythe\@colroom}{}%
+ \@ifdim{\@colroom>\topskip}{}{%
+  \ltxgrid@info{Not enough room: \string\@colroom=\the\@colroom; increasing to \the\topskip}%
+  \@colroom\topskip
+ }%
+ \global\@colroom\@colroom
+ \set@vsize
+}%
+\def\set@vsize{%
+ \global\vsize\@colroom
+ \outputdebug@sw{\saythe\vsize}{}%
+}%
+\def\set@adj@colht#1{%
+ #1\@colht
+ \@ifvoid\pagesofar{}{%
+  \advance#1-\ht\pagesofar\advance#1-\dp\pagesofar
+ }%
+ \@ifvoid\footbox{}{%
+  \advance#1-\ht\footbox\advance#1-\dp\footbox
+ }%
+ \def\@elt{\adj@column#1}%
+ \@booleantrue\firsttime@sw\@toplist
+ \@booleantrue\firsttime@sw\@botlist
+ \let\@elt\relax
+ \outputdebug@sw{\saythe#1}{}%
+}%
+\def\adj@column#1#2{%
+ \advance#1-\ht#2%
+ \advance#1-\firsttime@sw{\textfloatsep\@booleanfalse\firsttime@sw}{\floatsep}%
+}%
+\def\adj@page#1#2{%
+ \advance#1-\ht#2%
+ \advance#1-\firsttime@sw{\dbltextfloatsep\@booleanfalse\firsttime@sw}{\dblfloatsep}%
+}%
+\appdef\@outputpage{%
+ \set@colht          % FIXME: needed?
+ \@floatplacement    % FIXME: needed?
+ \@dblfloatplacement % FIXME: needed?
+}%
+\@namedef{balance@2}{%
+ \expandafter\balance@two\csname col@1\endcsname\@outputbox
+ % Avoid a bug by preventing a restore when leaving this group
+ \global\setbox\csname col@1\endcsname\box\csname col@1\endcsname
+ \@ifvoid\footbox{}{%
+  \global\setbox\footbox\vbox{%
+   \setbox\z@\box\@tempboxa
+   \let\recover@footins\relax
+   \balance@two\footbox\@tempboxa
+   \hb@xt@\textwidth{\box\footbox\hfil\box\@tempboxa}%
+  }%
+ }%
+}%
+\def\balance@two#1#2{%
+\outputdebug@sw{{\tracingall\scrollmode\showbox#1\showbox#2}}{}%
+ \setbox\@ne\vbox{%
+  \@ifvoid#1{}{%
+   \unvcopy#1\recover@footins
+   \@ifvoid#2{}{\marry@baselines}%
+  }%
+  \@ifvoid#2{}{%
+   \unvcopy#2\recover@footins
+  }%
+ }%
+ \dimen@\ht\@ne\divide\dimen@\tw@
+ \dimen@i\dimen@
+ \vbadness\@M
+ \vfuzz\maxdimen
+ \loopwhile{%
+  \dimen@i=.5\dimen@i
+  \outputdebug@sw{\saythe\dimen@\saythe\dimen@i\saythe\dimen@ii}{}%
+  \setbox\z@\copy\@ne\setbox\tw@\vsplit\z@ to\dimen@
+  \setbox\z@ \vbox{%
+   \unvcopy\z@
+   \setbox\z@\vbox{\unvbox\z@ \setbox\z@\lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
+  }%
+  \setbox\tw@\vbox{%
+   \unvcopy\tw@
+   \setbox\z@\vbox{\unvbox\tw@\setbox\z@\lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
+  }%
+  \dimen@ii\ht\tw@\advance\dimen@ii-\ht\z@
+  \@ifdim{\dimen@i>.5\p@}{%
+   \advance\dimen@\@ifdim{\dimen@ii<\z@}{}{-}\dimen@i
+   \true@sw
+  }{%
+   \@ifdim{\dimen@ii<\z@}{%
+    \advance\dimen@\tw@\dimen@i
+    \true@sw
+   }{%
+    \false@sw
+   }%
+  }%
+ }%
+ \outputdebug@sw{\saythe\dimen@\saythe\dimen@i\saythe\dimen@ii}{}%
+\@ifdim{\ht\z@=\z@}{%
+\@ifdim{\ht\tw@=\z@}{%
+\true@sw
+}{%
+\false@sw
+}%
+}{%
+\true@sw
+}%
+{%
+}{%
+\ltxgrid@info{Unsatifactorily balanced columns: giving up}%
+\setbox\tw@\box#1%
+\setbox\z@ \box#2%
+}%
+ \setbox\tw@\vbox{\unvbox\tw@\vskip\z@skip}%
+ \setbox\z@ \vbox{\unvbox\z@ \vskip\z@skip}%
+ \set@colroom
+\dimen@\ht\z@\@ifdim{\dimen@<\ht\tw@}{\dimen@\ht\tw@}{}%
+\@ifdim{\dimen@>\@colroom}{\dimen@\@colroom}{}%
+ \outputdebug@sw{\saythe{\ht\z@}\saythe{\ht\tw@}\saythe\@colroom\saythe\dimen@}{}%
+\setbox#1\vbox to\dimen@{\unvbox\tw@\unskip\raggedcolumn@skip}%
+\setbox#2\vbox to\dimen@{\unvbox\z@ \unskip\raggedcolumn@skip}%
+\outputdebug@sw{{\tracingall\scrollmode\showbox#1\showbox#2}}{}%
+}%
+\def\recover@footins{%
+ \skip\z@ \lastskip\unskip
+ \skip\@ne\lastskip\unskip
+ \setbox\z@\lastbox
+ \@ifvbox\z@{%
+\setbox\z@\vbox{%
+\unvbox\z@
+\setbox\z@\lastbox
+\@ifvoid\z@{}{%
+\global\setbox\footbox\vbox{%
+ \unvbox\footbox
+     \@ifvbox\z@{%
+   \unvbox\z@
+  }{%
+   \box\z@
+  }%
+}%
+}%
+}%
+ }{}%
+ \outputdebug@sw{{\tracingall\scrollmode\showbox\footbox}}{}%
+}%
+\prepdef\@begindocumenthook{%
+ \open@column@one\@ne
+ \set@colht
+ \@floatplacement
+ \@dblfloatplacement
+}%
+\def\longtable@longtable{%
+ \par
+ \ifx\multicols\@undefined\else\ifnum\col@number>\@ne\@twocolumntrue\fi\fi
+ \if@twocolumn\LT@err{longtable not in 1-column mode}\@ehc\fi
+ \begingroup
+ \@ifnextchar[\LT@array{\LT@array[x]}%
+}%
+\def\longtable@new{%
+ \par
+  \@ifnextchar[\LT@array{\LT@array[x]}%
+}%
+\def\endlongtable@longtable{%
+  \crcr
+  \noalign{%
+    \let\LT@entry\LT@entry@chop
+    \xdef\LT@save@row{\LT@save@row}}%
+  \LT@echunk
+  \LT@start
+  \unvbox\z@
+  \LT@get@widths
+  \if@filesw
+    {\let\LT@entry\LT@entry@write\immediate\write\@auxout{%
+      \gdef\expandafter\noexpand
+        \csname LT@\romannumeral\c@LT@tables\endcsname
+          {\LT@save@row}}}%
+  \fi
+  \ifx\LT@save@row\LT@@save@row
+  \else
+    \LT@warn{Column \@width s have changed\MessageBreak
+             in table \thetable}%
+    \LT@final@warn
+  \fi
+  \endgraf\penalty -\LT@end@pen
+  \endgroup
+  \global\@mparbottom\z@
+  \pagegoal\vsize
+  \endgraf\penalty\z@\addvspace\LTpost
+  \ifvoid\footins\else\insert\footins{}\fi
+}%
+\def\endlongtable@new{%
+  \crcr
+  \noalign{%
+   \let\LT@entry\LT@entry@chop
+   \xdef\LT@save@row{\LT@save@row}%
+  }%
+  \LT@echunk
+  \LT@start
+  \unvbox\z@
+  \LT@get@widths
+  \@if@sw\if@filesw\fi{%
+   {%
+    \let\LT@entry\LT@entry@write
+    \immediate\write\@auxout{%
+     \gdef\expandafter\noexpand\csname LT@\romannumeral\c@LT@tables\endcsname
+     {\LT@save@row}%
+    }%
+   }%
+  }{}%
+  \@ifx\LT@save@row\LT@@save@row{}{%
+   \LT@warn{%
+    Column \@width s have changed\MessageBreak in table \thetable
+   }\LT@final@warn
+  }%
+  \endgraf
+  \nobreak
+  \box\@ifvoid\LT@lastfoot{\LT@foot}{\LT@lastfoot}%
+ \global\@mparbottom\z@
+ \endgraf
+ \LT@post
+}%
+\def\LT@start@longtable{%
+ \let\LT@start\endgraf
+ \endgraf
+ \penalty\z@
+ \vskip\LTpre
+ \dimen@\pagetotal
+ \advance\dimen@ \ht\ifvoid\LT@firsthead\LT@head\else\LT@firsthead\fi
+ \advance\dimen@ \dp\ifvoid\LT@firsthead\LT@head\else\LT@firsthead\fi
+ \advance\dimen@ \ht\LT@foot
+ \dimen@ii\vfuzz\vfuzz\maxdimen
+   \setbox\tw@\copy\z@
+   \setbox\tw@\vsplit\tw@ to \ht\@arstrutbox
+   \setbox\tw@\vbox{\unvbox\tw@}%
+ \vfuzz\dimen@ii
+ \advance\dimen@ \ht
+       \ifdim\ht\@arstrutbox>\ht\tw@\@arstrutbox\else\tw@\fi
+ \advance\dimen@\dp
+       \ifdim\dp\@arstrutbox>\dp\tw@\@arstrutbox\else\tw@\fi
+ \advance\dimen@ -\pagegoal
+ \ifdim \dimen@>\z@\vfil\break\fi
+     \global\@colroom\@colht
+ \ifvoid\LT@foot\else
+   \advance\vsize-\ht\LT@foot
+   \global\advance\@colroom-\ht\LT@foot
+   \dimen@\pagegoal\advance\dimen@-\ht\LT@foot\pagegoal\dimen@
+   \maxdepth\z@
+ \fi
+ \ifvoid\LT@firsthead\copy\LT@head\else\box\LT@firsthead\fi
+ \output{\LT@output}%
+}%
+\def\LT@start@new{%
+ \let\LT@start\endgraf
+ \endgraf
+ \markthr@@{}%
+ \LT@pre
+ \@ifvoid\LT@firsthead{\LT@top}{\box\LT@firsthead\nobreak}%
+ \mark@envir{longtable}%
+}%
+\def\LT@end@hd@ft@longtable#1{%
+ \LT@echunk
+ \ifx\LT@start\endgraf
+  \LT@err{Longtable head or foot not at start of table}{Increase LTchunksize}%
+ \fi
+ \setbox#1\box\z@
+ \LT@get@widths\LT@bchunk
+}%
+\def\LT@end@hd@ft@new#1{%
+ \LT@echunk
+ \@ifx{\LT@start\endgraf}{%
+  \LT@err{Longtable head or foot not at start of table}{Increase LTchunksize}%
+ }%
+ \global\setbox#1\box\z@
+ \LT@get@widths
+ \LT@bchunk
+}%
+\def\LT@array@longtable[#1]#2{%
+  \refstepcounter{table}\stepcounter{LT@tables}%
+  \if l#1%
+    \LTleft\z@ \LTright\fill
+  \else\if r#1%
+    \LTleft\fill \LTright\z@
+  \else\if c#1%
+    \LTleft\fill \LTright\fill
+  \fi\fi\fi
+  \let\LT@mcol\multicolumn
+  \let\LT@@tabarray\@tabarray
+  \let\LT@@hl\hline
+  \def\@tabarray{%
+    \let\hline\LT@@hl
+    \LT@@tabarray}%
+  \let\\\LT@tabularcr\let\tabularnewline\\%
+  \def\newpage{\noalign{\break}}%
+  \def\pagebreak{\noalign{\ifnum`}=0\fi\@testopt{\LT@no@pgbk-}4}%
+  \def\nopagebreak{\noalign{\ifnum`}=0\fi\@testopt\LT@no@pgbk4}%
+  \let\hline\LT@hline \let\kill\LT@kill\let\caption\LT@caption
+  \@tempdima\ht\strutbox
+  \let\@endpbox\LT@endpbox
+  \ifx\extrarowheight\@undefined
+    \let\@acol\@tabacol
+    \let\@classz\@tabclassz \let\@classiv\@tabclassiv
+    \def\@startpbox{\vtop\LT@startpbox}%
+    \let\@@startpbox\@startpbox
+    \let\@@endpbox\@endpbox
+    \let\LT@LL@FM@cr\@tabularcr
+  \else
+    \advance\@tempdima\extrarowheight
+    \col@sep\tabcolsep
+    \let\@startpbox\LT@startpbox\let\LT@LL@FM@cr\@arraycr
+  \fi
+  \setbox\@arstrutbox\hbox{\vrule
+    \@height \arraystretch \@tempdima
+    \@depth \arraystretch \dp \strutbox
+    \@width \z@}%
+  \let\@sharp##\let\protect\relax
+   \begingroup
+    \@mkpream{#2}%
+    \xdef\LT@bchunk{%
+       \global\advance\c@LT@chunks\@ne
+       \global\LT@rows\z@\setbox\z@\vbox\bgroup
+       \LT@setprevdepth
+       \tabskip\LTleft\halign to\hsize\bgroup
+      \tabskip\z@ \@arstrut \@preamble \tabskip\LTright \cr}%
+  \endgroup
+  \expandafter\LT@nofcols\LT@bchunk&\LT@nofcols
+  \LT@make@row
+  \m@th\let\par\@empty
+  \everycr{}\lineskip\z@\baselineskip\z@
+  \LT@bchunk
+}%
+\def\LT@LR@l{\LTleft\z@   \LTright\fill}%
+\def\LT@LR@r{\LTleft\fill \LTright\z@  }%
+\def\LT@LR@c{\LTleft\fill \LTright\fill}%
+\def\LT@array@new[#1]#2{%
+ \refstepcounter{table}\stepcounter{LT@tables}%
+ \table@hook
+ \LTleft\fill \LTright\fill
+ \csname LT@LR@#1\endcsname
+ \let\LT@mcol\multicolumn
+ \let\LT@@hl\hline
+ \prepdef\@tabarray{\let\hline\LT@@hl}%
+ \let\\\LT@tabularcr
+ \let\tabularnewline\\%
+ \def\newpage{\noalign{\break}}%
+ \def\pagebreak{\noalign{\ifnum`}=0\fi\@testopt{\LT@no@pgbk-}4}%
+ \def\nopagebreak{\noalign{\ifnum`}=0\fi\@testopt\LT@no@pgbk4}%
+ \let\hline\LT@hline
+ \let\kill\LT@kill
+ \let\caption\LT@caption
+ \@tempdima\ht\strutbox
+ \let\@endpbox\LT@endpbox
+ \@ifxundefined\extrarowheight{%
+  \let\@acol\@tabacol
+  \let\@classz\@tabclassz
+  \let\@classiv\@tabclassiv
+  \def\@startpbox{\vtop\LT@startpbox}%
+  \let\@@startpbox\@startpbox
+  \let\@@endpbox\@endpbox
+  \let\LT@LL@FM@cr\@tabularcr
+ }{%
+  \advance\@tempdima\extrarowheight
+  \col@sep\tabcolsep
+  \let\@startpbox\LT@startpbox
+  \let\LT@LL@FM@cr\@arraycr
+ }%
+ \let\@acoll\@tabacoll
+ \let\@acolr\@tabacolr
+ \let\@acol\@tabacol
+ \setbox\@arstrutbox\hbox{%
+  \vrule
+  \@height \arraystretch \@tempdima
+  \@depth \arraystretch \dp \strutbox
+  \@width \z@
+ }%
+ \let\@sharp##%
+ \let\protect\relax
+ \begingroup
+  \@mkpream{#2}%
+  \@mkpream@relax
+  \edef\@preamble{\@preamble}%
+  \prepdef\@preamble{%
+   \global\advance\c@LT@chunks\@ne
+   \global\LT@rows\z@
+   \setbox\z@\vbox\bgroup
+    \LT@setprevdepth
+    \tabskip\LTleft
+    \halign to\hsize\bgroup
+     \tabskip\z@
+     \@arstrut
+  }%
+  \appdef\@preamble{%
+     \tabskip\LTright
+     \cr
+  }%
+  \global\let\LT@bchunk\@preamble
+ \endgroup
+ \expandafter\LT@nofcols\LT@bchunk&\LT@nofcols
+ \LT@make@row
+ \m@th
+ \let\par\@empty
+ \everycr{}%
+ \lineskip\z@
+ \baselineskip\z@
+ \LT@bchunk
+}%
+\appdef\table@hook{}%
+%% Note that it is not enough to define the environment itself; we also have to create the corresponding
+%% \cmd\output\ routine procedures, which provide for continued footers and headers
+%% (the very feature of \env{longtable} requiring support in the output routine).
+%% This same consideration would arise in defining any syntactic extension to \env{longtable}, because
+%% the environment name itself is exposed in the output routine.
+\def\switch@longtable{%
+ \@ifpackageloaded{longtable}{%
+  \@ifx{\longtable\longtable@longtable}{%
+   \@ifx{\endlongtable\endlongtable@longtable}{%
+    \@ifx{\LT@start\LT@start@longtable}{%
+     \@ifx{\LT@end@hd@ft\LT@end@hd@ft@longtable}{%
+      \@ifx{\LT@array\LT@array@longtable}{%
+       \true@sw
+      }{\false@sw}%
+     }{\false@sw}%
+    }{\false@sw}%
+   }{\false@sw}%
+  }{\false@sw}%
+  {%
+   \class@info{Patching longtable package}%
+  }{%
+   \class@info{Patching unrecognized longtable package. (Proceeding with fingers crossed)}%
+  }%
+  \let\longtable\longtable@new
+  \let\endlongtable\endlongtable@new
+  \let\LT@start\LT@start@new
+  \let\LT@end@hd@ft\LT@end@hd@ft@new
+  \let\LT@array\LT@array@new
+  \newenvironment{longtable*}{%
+   \onecolumngrid@push
+   \longtable
+  }{%
+   \endlongtable
+   \onecolumngrid@pop
+  }%
+ }{}%
+}%
+\def\LT@pre{\penalty\z@\vskip\LTpre}%
+\def\LT@bot{\nobreak\copy\LT@foot\vfil}%
+\def\LT@top{\copy\LT@head\nobreak}%
+\def\LT@post{\penalty\z@\addvspace\LTpost\mark@envir{\curr@envir}}%
+\def\LT@adj{%
+ \setbox\z@\vbox{\null}\dimen@-\ht\z@
+ \setbox\z@\vbox{\unvbox\z@\LT@bot}\advance\dimen@\ht\z@
+ \global\advance\vsize-\dimen@
+}%
+\def\output@init@longtable{\LT@adj}%
+\def\output@prep@longtable{\setbox\@cclv\vbox{\unvbox\@cclv\LT@bot}}%
+\def\output@post@longtable{\LT@top}%
+\let\output@init@theindex\@empty
+\let\output@prep@theindex\@empty
+\def\output@post@theindex{%
+ \@ifodd\c@page{}{%
+  \@ifnum{\pagegrid@cur=\@ne}{% we have the leftmost column of a verso page
+   % insert the current top-level continued head
+  }%
+ }%
+}%
+\def\check@aux{\do@output@MVL{\do@check@aux}}%
+\def\check@deferlist@stuck#1{%
+ \@ifx{\@deferlist@postshipout\@empty}{}{%
+  \@ifx{\@deferlist@postshipout\@deferlist}{%
+   \@fltstk
+   \clearpage@sw{%
+    \ltxgrid@warn{Deferred float stuck during \string\clearpage\space processing}%
+   }{%
+    \force@deferlist@stuck#1%
+   }%
+  }{%
+   %Successfully committed float(s)
+  }%
+  \global\let\@deferlist@postshipout\@empty
+ }%
+}%
+\def\@fltstk{%
+ \@latex@warning{A float is stuck (cannot be placed without \string\clearpage)}%
+}%
+\appdef\@outputpage{%
+ \global\let\@deferlist@postshipout\@deferlist
+}%
+\def\@next#1#2{%
+ \@ifx{#2\@empty}{\false@sw}{%
+  \expandafter\@xnext#2\@@#1#2%
+  \true@sw
+ }%
+}%
+\def\@xnext\@elt#1#2\@@#3#4{%
+ \def#3{#1}%
+ \gdef#4{#2}%
+ \def\@tempa{#4}\def\@tempb{\@freelist}%
+ \@ifx{\@tempa\@tempb}{%
+  \@ifx{#4\@empty}{%
+   \force@deferlist@empty%{Float register pool exhausted}%
+  }{}%
+ }{}%
+}%
+\def\force@deferlist@stuck#1{%
+\force@deferlist@sw{%
+  \@booleantrue\clearpage@sw
+  \@booleantrue\forcefloats@sw
+  #1%
+}{%
+}%
+}%
+\def\force@deferlist@empty{%
+ \force@deferlist@sw{%
+  \penalty-\pagebreak@pen
+  \protect@penalty\do@forcecolumn@pen
+ }{%
+ }%
+}%
+\@booleanfalse\force@deferlist@sw
+\mathchardef\do@forcecolumn@pen=10009
+\@namedef{output@-\the\do@forcecolumn@pen}{\do@forcecolumn}%
+\def\do@forcecolumn{%
+ \@booleantrue\clearpage@sw
+ \@booleantrue\forcefloats@sw
+ \do@startcolumn
+}%
+\def\enlargethispage{%
+\@ifstar{%
+\@enlargethispage{}%
+}{%
+\@enlargethispage{}%
+}%
+}%
+\def\@enlargethispage#1#2{%
+ \begingroup
+  \dimen@#2\relax
+  \edef\@tempa{#1}%
+  \edef\@tempa{\noexpand\@@enlargethispage{\@tempa}{\the\dimen@}}%
+  \expandafter\do@output@MVL\expandafter{\@tempa}%
+ \endgroup
+}%
+\def\@@enlargethispage#1#2{%
+ \def\@tempa{one}%
+ \@ifx{\thepagegrid\@tempa}{%
+  \true@sw
+ }{%
+  \def\@tempa{mlt}%
+  \@ifx{\thepagegrid\@tempa}{%
+   \@ifnum{\pagegrid@cur=\@ne}{% OK to adjust this page
+    \gdef\enlarge@colroom{#2}%
+    \true@sw
+   }{% Can only adjust this column; give up
+    \ltxgrid@warn{Too late to enlarge this page; move the command to the first column.}%
+    \false@sw
+   }%
+  }{% Unknown page grid
+   \ltxgrid@warn{Unable to enlarge a page of this kind.}%
+   \false@sw
+  }%
+ }%
+ {%
+  \class@info{Enlarging page \thepage\space by #2}%
+  \global\advance\@colroom#2\relax
+  \set@vsize
+ }{%
+  % Could not adjust this page
+ }%
+}%
+\let\enlarge@colroom\@empty
+\let\@kludgeins\@undefined
+\@booleantrue\textheight@sw
+\prepdef\@outputpage{%
+ \textheight@sw{%
+  \count@\vbadness\vbadness\@M
+  \dimen@\vfuzz\vfuzz\maxdimen
+  \setbox\@outputbox\vbox to\textheight{\unvbox\@outputbox}%
+  \vfuzz\dimen@
+  \vbadness\count@
+ }{}%
+}%
+\def\ltxgrid@info{%
+ \ltxgrid@info@sw{\class@info}{\@gobble}%
+}%
+\@booleanfalse\ltxgrid@info@sw
+\def\ltxgrid@warn{%
+ \ltxgrid@warn@sw{\class@warn}{\@gobble}%
+}%
+\@booleantrue\ltxgrid@warn@sw
+%% Source File: textcase.dtx
+%% Copyright 1997 1998 David Carlisle
+%%
+%% This file may be distributed under the terms of the LPPL.
+%% See 00readme.txt for details.
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{textcase}
+       [1998/11/12 v0.06 Text only upper/lower case changing (DPC)]
+\def\@uclcnotmath#1#2#3#4{\begingroup
+      #1%
+      \def\({$}\let\)\(%
+      \def\NoCaseChange##1{\noexpand\NoCaseChange{\noexpand##1}}%
+      \@nonchangecase\label
+      \@nonchangecase\ref
+      \@nonchangecase\ensuremath
+      \def\cite##1##{\toks@{\noexpand\cite##1}\@citex}%
+      \def\@citex##1{\NoCaseChange{\the\toks@{##1}}}%
+      \def\reserved@a##1##2{\let#2\reserved@a}%
+      \expandafter\reserved@a\@uclclist\reserved@b{\reserved@b\@gobble}%
+      \protected@edef\reserved@a{\endgroup
+          \noexpand\@skipmath#3#4$\valign$}%
+      \reserved@a}
+\def\@nonchangecase#1{\def#1##1{\NoCaseChange{#1{##1}}}}
+\let\NoCaseChange\@firstofone
+\def\@skipmath#1#2$#3${%
+  \@skip@nonchangecase#1#2\NoCaseChange\valign
+  \ifx\valign#3%
+  \else
+    $#3$%
+    \expandafter\@skipmath\expandafter#1%
+  \fi}
+\def\@skip@nonchangecase#1#2\NoCaseChange#3{%
+  #1{#2}%
+  \ifx\valign#3%
+  \else
+    #3%
+    \expandafter\@skip@nonchangecase\expandafter#1%
+  \fi}
+\DeclareRobustCommand\MakeTextUppercase{%
+  \@uclcnotmath{\def\i{I}\def\j{J}}{##1##2}\uppercase}
+\protected@edef\MakeTextUppercase#1{\MakeTextUppercase{#1}}
+\DeclareRobustCommand\MakeTextLowercase{%
+  \@uclcnotmath{}{##2##1}\lowercase}
+\protected@edef\MakeTextLowercase#1{\MakeTextLowercase{#1}}
+\DeclareOption{overload}{%
+  \expandafter\let\csname MakeUppercase \expandafter\endcsname
+                  \csname MakeTextUppercase \endcsname
+  \expandafter\let\csname MakeLowercase \expandafter\endcsname
+                  \csname MakeTextLowercase \endcsname}
+\ProcessOptions
+\let\ProvidesPackage\ProvidesPackage@latex
+\let\ProcessOptions\ProcessOptions@latex
+\let\DeclareOption\DeclareOption@latex
+\expandafter
+\let\csname MakeUppercase \expandafter\endcsname
+    \csname MakeTextUppercase \endcsname
+\expandafter
+\let\csname MakeLowercase \expandafter\endcsname
+    \csname MakeTextLowercase \endcsname
+\appdef\class@documenthook{%
+ \switch@longtable
+}%
+\appdef\class@documenthook{%
+ \expandafter\@ifnotrelax\csname boldmath \endcsname{}{%
+  \expandafter\let\csname boldmath \endcsname\boldmath
+  \expandafter\def\expandafter\boldmath\expandafter{\expandafter\protect\csname boldmath \endcsname}%
+ }%
+}%
+\appdef\class@documenthook{%
+ \class@inithook
+}%
+\def\class@inithook{}%
+\appdef\class@inithook{%
+ \@ifxundefined\twocolumn@sw{\@booleanfalse\twocolumn@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\footinbib@sw{\@booleanfalse\footinbib@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\preprintsty@sw{\@booleanfalse\preprintsty@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\preprint@sw{\@booleanfalse\preprint@sw}{}%
+ \preprintsty@sw{\@booleantrue\preprint@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\galley@sw{\@booleanfalse\galley@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\showPACS@sw{\@booleanfalse\showPACS@sw}{}%
+ \@ifxundefined\showKEYS@sw{\@booleanfalse\showKEYS@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
+ \twoside@sw{\@twosidetrue}{\@twosidefalse}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\draft@sw{\@booleanfalse\draft@sw}{}%
+ \draft@sw{\overfullrule 5\p@}{\overfullrule\z@}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\tightenlines@sw{\@booleanfalse\tightenlines@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\lengthcheck@sw{\@booleanfalse\lengthcheck@sw}{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\eqsecnum@sw{\@booleanfalse\eqsecnum@sw}{}%
+ \eqsecnum@sw{%
+  \@addtoreset{equation}{section}%
+  \def\theequation@prefix{\arabic{section}.}%
+ }{}%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\byrevtex@sw{\@booleanfalse\byrevtex@sw}{}%
+}%
+\DeclareOption{checkin}{%
+  \@booleantrue\dateinRH@sw
+  \@booleantrue\preprintsty@sw
+  \def\@pointsize{12}%
+  \@booleantrue\showPACS@sw
+  \@booleantrue\showKEYS@sw
+  \def\fp@proc@h{\allow@breaking@tables}%
+  \def\fp@proc@H{\allow@breaking@tables}%
+}%
+\@booleanfalse\dateinRH@sw
+\def\checkindate{\dateinRH@sw{{\tiny(\today)}}{}}%
+\def\allow@breaking@tables{%
+ \def\array@default{v}% tabular can break over pages
+ \@booleanfalse\floats@sw % table can break over pages
+}%
+\DeclareOption{preprint}{%
+  \@booleantrue\preprintsty@sw
+  \def\@pointsize{12}%
+}%
+\DeclareOption{manuscript}{%
+ \class@warn{Document class option manuscript is obsolete; use preprint instead}%
+ \ExecuteOptions{preprint}%
+}%
+\DeclareOption{showpacs}{%
+  \@booleantrue\showPACS@sw
+}%
+\DeclareOption{noshowpacs}{%
+  \@booleanfalse\showPACS@sw
+}%
+\DeclareOption{showkeys}{%
+  \@booleantrue\showKEYS@sw
+}%
+\DeclareOption{noshowkeys}{%
+  \@booleanfalse\showKEYS@sw
+}%
+\DeclareOption{balancelastpage}{%
+  \@booleantrue\balancelastpage@sw
+}%
+\DeclareOption{nobalancelastpage}{%
+  \@booleanfalse\balancelastpage@sw
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\balancelastpage@sw{%
+  \@booleantrue\balancelastpage@sw
+ }{}%
+}%
+\DeclareOption{nopreprintnumbers}{\@booleanfalse\preprint@sw}%
+\DeclareOption{preprintnumbers}{\@booleantrue\preprint@sw}%
+\DeclareOption{hyperref}{%
+ \class@warn{Class option "hyperref" is no longer supported.^^JEmploy \string\usepackage{hyperref} instead}%
+}%
+\DeclareOption{10pt}{\def\@pointsize{10}}
+\DeclareOption{11pt}{\def\@pointsize{11}}
+\DeclareOption{12pt}{\def\@pointsize{12}}
+\DeclareOption{a4paper}
+   {\setlength\paperheight {297mm}%
+    \setlength\paperwidth  {210mm}}
+\DeclareOption{a5paper}
+   {\setlength\paperheight {210mm}%
+    \setlength\paperwidth  {148mm}}
+\DeclareOption{b5paper}
+   {\setlength\paperheight {250mm}%
+    \setlength\paperwidth  {176mm}}
+\DeclareOption{letterpaper}
+   {\setlength\paperheight {11in}%
+    \setlength\paperwidth  {8.5in}}
+\DeclareOption{legalpaper}
+   {\setlength\paperheight {14in}%
+    \setlength\paperwidth  {8.5in}}
+\DeclareOption{executivepaper}
+   {\setlength\paperheight {10.5in}%
+    \setlength\paperwidth  {7.25in}}
+\DeclareOption{landscape}
+   {\setlength\@tempdima   {\paperheight}%
+    \setlength\paperheight {\paperwidth}%
+    \setlength\paperwidth  {\@tempdima}}
+\DeclareOption{bibnotes}{\@booleantrue\bibnotes@sw}%
+\DeclareOption{nobibnotes}{\@booleanfalse\bibnotes@sw}%
+\appdef\class@enddocumenthook{\auto@bib}%
+\appdef\class@inithook{%
+ \@ifxundefined\bibnotes@sw{\@booleanfalse\bibnotes@sw}{}%
+ \bibnotes@sw{%
+  \let\frontmatter@footnote@produce\frontmatter@footnote@produce@endnote
+ }{%
+  \let\frontmatter@footnote@produce\frontmatter@footnote@produce@footnote
+ }%
+}%
+\DeclareOption{footinbib}{\@booleantrue\footinbib@sw}
+\DeclareOption{nofootinbib}{\@booleanfalse\footinbib@sw}
+\DeclareOption{altaffilletter}{\@booleantrue\altaffilletter@sw}%
+\DeclareOption{altaffilsymbol}{\@booleanfalse\altaffilletter@sw}%
+\appdef\class@inithook{%
+ \@ifxundefined\altaffilletter@sw{\@booleanfalse\altaffilletter@sw}{}%
+}%
+\DeclareOption{superbib}{%
+ \def\place@bibnumber{\place@bibnumber@sup}%
+}%
+\DeclareOption{citeautoscript}{%
+ \@booleantrue\citeautoscript@sw
+}%
+\@booleanfalse\citeautoscript@sw
+\DeclareOption{twoside}{\@booleantrue\twoside@sw \@mparswitchfalse}
+\DeclareOption{oneside}{\@booleanfalse\twoside@sw\@mparswitchtrue}
+\AtEndOfClass{%
+ \def\clear@document{%
+  \close@column
+ }%
+ \appdef\class@inithook{%
+  \@ifxundefined\close@column{%
+   \let\close@column\close@column@default
+  }{}%
+ }%
+}%
+\DeclareOption{twocolumn}{%
+  \@booleantrue\twocolumn@sw
+}%
+\DeclareOption{onecolumn}{%
+  \@booleanfalse\twocolumn@sw
+}%
+\DeclareOption{galley}{%
+  \ExecuteOptions{onecolumn}%
+  \@booleantrue\galley@sw
+  \appdef\set@pica@hook{%
+    \advance\textwidth-\columnsep
+    \textwidth.5\textwidth
+  }%
+}%
+\DeclareOption{raggedbottom}{\@booleantrue\raggedcolumn@sw}
+\DeclareOption{flushbottom}{\@booleanfalse\raggedcolumn@sw}
+\DeclareOption{tightenlines}{\@booleantrue\tightenlines@sw}
+\DeclareOption{lengthcheck}{%
+ \@booleantrue\lengthcheck@sw
+ \@booleantrue\twoside@sw
+ \@booleantrue\twocolumn@sw
+}%
+\DeclareOption{draft}{%
+ \@booleantrue\draft@sw
+}%
+\DeclareOption{final}{%
+ \@booleanfalse\draft@sw
+}%
+\DeclareOption{eqsecnum}{\@booleantrue\eqsecnum@sw}
+\DeclareOption{secnumarabic}{\@booleantrue\secnumarabic@sw}
+\DeclareOption{fleqn}{\input{fleqn.clo}}
+\DeclareOption{floats}{\@booleantrue\floats@sw\@booleanfalse\floatp@sw}
+\DeclareOption{endfloats}{\@booleanfalse\floats@sw\@booleanfalse\floatp@sw}
+\DeclareOption{endfloats*}{\@booleanfalse\floats@sw\@booleantrue\floatp@sw}
+\appdef\class@inithook{%
+ \@ifxundefined\floats@sw{\@booleantrue\floats@sw}{}%
+ \@ifxundefined\floatp@sw{\@booleantrue\floatp@sw}{}%
+}%
+\DeclareOption{titlepage}{\@booleantrue\titlepage@sw}
+\DeclareOption{notitlepage}{\@booleanfalse\titlepage@sw}
+\appdef\defaults@hook{%
+ \@ifxundefined\titlepage@sw{\@booleanfalse\titlepage@sw}{}%
+}%
+\def\change@society#1{%
+ \def\@tempa{#1}%
+ \@ifxundefined\@society{}{%
+  \@ifx{\@tempa\@society}{}{%
+   \class@warn{Conflicting society \@tempa<>\@society.}%
+  }%
+ }%
+ \let\@society\@tempa
+}%
+\DeclareOption{aps}{\change@society{aps}\def\@journal{}}%
+\DeclareOption{pra}{\change@society{aps}\def\@journal{pra}}%
+\DeclareOption{prb}{\change@society{aps}\def\@journal{prb}}%
+\DeclareOption{prc}{\change@society{aps}\def\@journal{prc}}%
+\DeclareOption{prd}{\change@society{aps}\def\@journal{prd}}%
+\DeclareOption{pre}{\change@society{aps}\def\@journal{pre}}%
+\DeclareOption{prl}{\change@society{aps}\def\@journal{prl}}%
+\DeclareOption{prstab}{\change@society{aps}\def\@journal{prstab}}%
+\DeclareOption{rmp}{\change@society{aps}\def\@journal{rmp}}%
+\DeclareOption{osa}{\change@society{osa}\def\@journal{}}%
+\DeclareOption{osameet}{\change@society{osa}\def\@journal{osameet}}%
+\DeclareOption{opex}{\change@society{osa}\def\@journal{opex}}%
+\DeclareOption{tops}{\change@society{osa}\def\@journal{tops}}%
+\DeclareOption{josa}{\change@society{osa}\def\@journal{josa}}%
+\DeclareOption{amsfonts}{%
+  \def\class@amsfonts{\RequirePackage{amsfonts}}%
+}%
+\DeclareOption{noamsfonts}{%
+  \let\class@amsfonts\@empty
+}%
+\AtEndOfClass{%
+ \@ifxundefined\class@amsfonts{}{\class@amsfonts}%
+}%
+\DeclareOption{amssymb}{%
+  \def\class@amssymb{\RequirePackage{amssymb}}%
+}%
+\DeclareOption{noamssymb}{%
+  \let\class@amssymb\@empty
+}%
+\AtEndOfClass{%
+ \@ifxundefined\class@amssymb{}{\class@amssymb}%
+}%
+\DeclareOption{amsmath}{%
+  \def\class@amsmath{\RequirePackage{amsmath}[\ver@amsmath@prefer]}%
+}%
+\DeclareOption{noamsmath}{%
+  \let\class@amsmath\@empty
+}%
+\AtEndOfClass{%
+ \preserve@LaTeX
+ \@ifxundefined\class@amsmath{}{\class@amsmath}%
+ \appdef\class@enddocumenthook{\test@amsmath@ver}%
+}%
+\appdef\preserve@LaTeX{%
+ \let\@ifl@aded@LaTeX\@ifl@aded
+ \let\@ifpackageloaded@LaTeX\@ifpackageloaded
+ \let\@pkgextension@LaTeX\@pkgextension
+ \let\@ifpackagelater@LaTeX\@ifpackagelater
+ \let\@ifl@ter@LaTeX\@ifl@ter
+ \let\@ifl@t@r@LaTeX\@ifl@t@r
+ \let\@parse@version@LaTeX\@parse@version
+}%
+\appdef\restore@LaTeX{%
+ \let\@ifl@aded\@ifl@aded@LaTeX
+ \let\@ifpackageloaded\@ifpackageloaded@LaTeX
+ \let\@pkgextension\@pkgextension@LaTeX
+ \let\@ifpackagelater\@ifpackagelater@LaTeX
+ \let\@ifl@ter\@ifl@ter@LaTeX
+ \let\@ifl@t@r\@ifl@t@r@LaTeX
+ \let\@parse@version\@parse@version@LaTeX
+}%
+\def\test@amsmath@ver{%
+ \begingroup
+  \restore@LaTeX
+  \@ifpackageloaded{amsmath}{%
+   \@ifpackagelater{amsmath}{\ver@amsmath@prefer}{}{%
+     \class@warn{%
+      You have loaded amsmath, version "\csname ver@amsmath.sty\endcsname",\MessageBreak
+      but this class requires version "\ver@amsmath@prefer", or later.\MessageBreak
+      Please update your LaTeX installation.
+     }%
+   }%
+  }{%
+  }%
+ \endgroup
+}%
+\def\ver@amsmath@prefer{2000/01/15 v2.05 AMS math features}%
+\DeclareOption{groupedaddress}{\clo@groupedaddress}%
+\def\clo@groupedaddress{%
+ \@booleantrue\groupauthors@sw
+ \@booleantrue\@affils@sw
+ \@booleanfalse\runinaddress@sw
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\groupauthors@sw{\clo@groupedaddress}{}%
+}%
+\DeclareOption{unsortedaddress}{\clo@unsortedaddress}%
+\def\clo@unsortedaddress{%
+ \@booleantrue\groupauthors@sw
+ \@booleanfalse\@affils@sw
+ \@booleanfalse\runinaddress@sw
+}%
+\DeclareOption{runinaddress}{\clo@runinaddress}%
+\def\clo@runinaddress{%
+ \@booleantrue\groupauthors@sw
+ \@booleantrue\@affils@sw
+ \@booleantrue\runinaddress@sw
+}%
+\DeclareOption{superscriptaddress}{\clo@superscriptaddress}%
+\def\clo@superscriptaddress{%
+ \@booleanfalse\groupauthors@sw
+ \@booleantrue\@affils@sw
+ \@booleanfalse\runinaddress@sw
+}%
+\DeclareOption{byrevtex}{\@booleantrue\byrevtex@sw}%
+\DeclareOption{floatfix}{\@booleantrue\force@deferlist@sw}%
+\DeclareOption{nofloatfix}{\@booleanfalse\force@deferlist@sw}%
+\appdef\class@inithook{%
+ \@ifxundefined\force@deferlist@sw{\@booleanfalse\force@deferlist@sw}{}%
+}%
+\gdef\@fltovf{%
+ \@latex@error{%
+  Too many unprocessed floats%
+  \force@deferlist@sw{}{; try class option [floatfix]}%
+ }\@ehb
+}%
+\def\@fltstk{%
+ \@latex@warning{%
+  A float is stuck (cannot be placed)%
+  \force@deferlist@sw{}{; try class option [floatfix]}%
+ }%
+}%
+\DeclareOption{ltxgridinfo}{\@booleantrue\ltxgrid@info@sw}%
+\DeclareOption{outputdebug}{\@booleantrue\outputdebug@sw}%
+\DeclareOption{raggedfooter}{\@booleanfalse\textheight@sw}%
+\DeclareOption{noraggedfooter}{\@booleantrue\textheight@sw}%
+\DeclareOption{newabstract}{\@booleanfalse\oldabstract@sw}%
+\DeclareOption{oldabstract}{\@booleantrue \oldabstract@sw}%
+\appdef\class@inithook{%
+ \@ifxundefined\oldabstract@sw{\@booleanfalse\oldabstract@sw}{}%
+ \oldabstract@sw{%
+  \let@environment{abstract}{abstract-old}%
+ }{}%
+}%
+\DeclareOption*{%
+ \IfFileExists{\CurrentOption\substyle@ext}{%
+  \expandafter\change@society\expandafter{\CurrentOption}%
+ }{%
+  \OptionNotUsed
+ }%
+}%
+\def\substyle@ext{.rtx}%
+\AtEndOfClass{%
+ \@ifxundefined\@society{%
+  \class@warn{No Society specified, using generic APS style}%
+  \def\@society{aps}\def\@journal{}%
+ }{}%
+ \expandafter\input\expandafter{\@society\substyle@ext}%
+}%
+\ExecuteOptions{10pt}
+\ProcessOptions\relax
+  \def\ps@headings{%
+      \let\@oddfoot\@empty\let\@evenfoot\@empty
+      \def\@evenhead{\thepage\hfil\slshape\leftmark}%
+      \def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
+      \let\@mkboth\markboth
+    \def\sectionmark##1{%
+      \markboth {\MakeUppercase{%
+        \ifnum \c@secnumdepth >\z@
+          \thesection\quad
+        \fi
+        ##1}}{}}%
+    \def\subsectionmark##1{%
+      \markright {%
+        \ifnum \c@secnumdepth >\@ne
+          \thesubsection\quad
+        \fi
+        ##1}}}%
+\def\ps@myheadings{%
+    \let\@oddfoot\@empty\let\@evenfoot\@empty
+    \def\@evenhead{\thepage\hfil\slshape\leftmark}%
+    \def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
+    \let\@mkboth\@gobbletwo
+    \let\sectionmark\@gobble
+    \let\subsectionmark\@gobble
+    }%
+\def\ps@article{%
+    \@provide\@evenhead{\let\\\heading@cr\thepage\quad\checkindate\hfil{\leftmark}}%
+    \@provide\@oddhead{\let\\\heading@cr{\rightmark}\hfil\checkindate\quad\thepage}%
+    \@provide\@oddfoot{}%
+    \@provide\@evenfoot{}%
+    \let\@mkboth\markboth
+  \let\sectionmark\@gobble
+  \let\subsectionmark\@gobble
+}%
+\def\ps@article@final{%
+    \@provide\@evenhead{\let\\\heading@cr\thepage\quad\checkindate\hfil{\leftmark}}%
+    \@provide\@oddhead{\let\\\heading@cr{\rightmark}\hfil\checkindate\quad\thepage}%
+    \@provide\@oddfoot{}%
+    \@provide\@evenfoot{}%
+    \let\@mkboth\markboth
+    \def\sectionmark##1{%
+      \markboth{%
+       \MakeTextUppercase{%
+        \@ifnum{\c@secnumdepth >\z@}{\thesection\hskip 1em\relax}{}%
+         ##1%
+       }%
+       }{}%
+    }%
+    \def\subsectionmark##1{%
+      \markright {%
+        \@ifnum{\c@secnumdepth >\@ne}{\thesubsection\hskip 1em\relax}{}%
+         ##1%
+      }%
+    }%
+}%
+\appdef\class@inithook{%
+}%
+\def\heading@cr{\unskip\space\ignorespaces}%
+\def\ps@preprint{%
+  \@provide\@oddfoot{\hfil\thepage\quad\checkindate\hfil}%
+  \@provide\@evenfoot{\hfil\thepage\quad\checkindate\hfil}%
+  \@provide\@oddhead{}%
+  \@provide\@evenhead{}%
+  \let\@mkboth\@gobbletwo
+  \let\sectionmark\@gobble
+  \let\subsectionmark\@gobble
+}%
+\let\@oddhead\@undefined
+\let\@evenhead\@undefined
+\let\@oddfoot\@undefined
+\let\@evenfoot\@undefined
+\AtEndOfClass{%
+ \appdef\class@documenthook{%
+  \@provide\@oddhead{}%
+  \@provide\@evenhead{}%
+  \@provide\@oddfoot{}%
+  \@provide\@evenfoot{}%
+ }%
+}%
+\def\lastpage@putlabel{%
+ \if@filesw
+  \begingroup
+    \advance\c@page\m@ne
+    \immediate\write\@auxout{\string\newlabel{LastPage}{{}{\thepage}}}%
+  \endgroup
+ \fi
+}%
+\AtEndOfClass{%
+ \appdef\clear@document{%
+  \clearpage
+  \lastpage@putlabel
+ }%
+}%
+\RequirePackage{url}%
+\appdef\class@inithook{%
+ \incompatible@package{cite}%
+ \incompatible@package{multicol}%
+}%
+\renewcommand\title[2][]{%
+ \def\@title{#2}%
+ \def\@shorttitle{#1}%
+ \let\@AF@join\@title@join
+}%
+\appdef\class@inithook{%
+ \def\@title{\class@warn{No title}}%
+ \let\@shorttitle\@empty
+ \let\@title@aux\@title@aux@cleared
+}%
+\def\@title@join{\expandafter\@title@join@\@title@aux}%
+\def\@title@join@#1#2{%
+ \def\@title@aux{{\@join{\@separator}{#1}{#2}}}%
+}%
+\def\@title@aux@cleared{{}}%
+\newcounter{affil}
+\renewcommand\author{% implicit #1
+ \@author@def{}% implicit #2
+}%
+\def\collaboration{% implicit #1
+ \groupauthors@sw{%
+  \class@warn{%
+   \string\collaboration\space is only allowed with superscriptaddress option.
+   Use superscriptaddress in place of groupedaddress, unsortedaddress, or runinaddress%
+  }%
+ }{}%
+ \@author@def{\@booleantrue\collaboration@sw}% implicit #2
+}%
+\def\@author@cleared{{}{}}%
+\def\@author@init{%
+ \let\@author\@author@cleared
+}%
+\def\@authorclear@sw{\@ifx{\@author\@author@cleared}}%
+\appdef\class@inithook{%
+ \@author@init
+}%
+\def\@author@def#1#2{%
+ \move@AU\move@AF\move@AUAF
+ \let\@AF@join\@author@join
+ #1%
+ \def\@author{{#2}{}}%
+}%
+\def\@author@join@#1#2#3{%
+  \def\@author{{#1}{\@join{\@separator}{#2}{#3}}}%
+}%
+\def\@author@join{\expandafter\@author@join@\@author}%
+\def\@author@gobble#1#2{}%
+\def\move@AU{%
+ \@authorclear@sw{}{%
+  \collaboration@sw{%
+    \expandafter\appdef
+    \expandafter\AU@grp
+    \expandafter{%
+    \expandafter \CO@opr
+                 \@author
+                }%
+  }{%
+    \expandafter\appdef
+    \expandafter\AU@grp
+    \expandafter{%
+    \expandafter \AU@opr
+                 \@author
+                }%
+  }%
+ }%
+ \@author@init
+ \@booleanfalse\collaboration@sw
+}%
+\def\@author@finish{%
+ \move@AU\move@AF
+ \@ifx{\AU@grp\@empty}{}{%
+  \@ifx{\AF@grp\@empty}{%
+   \begingroup
+    \let\href\@secondoftwo
+    \let\AU@opr\@firstoftwo
+    \let\CO@opr\@firstoftwo
+    \class@warn{Assuming \string\noaffiliation\space for \AU@grp}%
+   \endgroup
+   \begingroup\@affiliation{\blankaffiliation}%\endgroup in \@affiliation
+   \move@AF
+  }{}%
+ }%
+ \move@AUAF
+}%
+\def\@join#1#2#3{%
+  \@if@empty{#2}{#3}{#2#1#3}%
+}%
+\def\@separator{;\space}%
+\let\surname\@firstofone
+\let\firstname\@firstofone
+\let\AU@grp\@empty
+\renewcommand\and{\class@err{\protect\and\space is not supported}}
+\def\cat@comma@active{\catcode`\,\active}%
+{\cat@comma@active\gdef,{\active@comma}}%
+\def\active@comma{,\penalty-300\relax}%
+\newcommand\affiliation{%
+ \move@AU\move@AF
+ \begingroup
+  \cat@comma@active
+  \@affiliation
+}%
+\def\@affiliation#1{%
+ \endgroup
+ \let\@AF@join\@affil@join
+ \@affil@def{#1}%
+}%
+\newcommand\noaffiliation{%
+  \move@AU\move@AF
+  \begingroup\@affiliation{\blankaffiliation}%
+}%
+\def\blankaffiliation{}%
+\def\@affil@cleared{{}{}}%
+\def\@affil@init{%
+ \let\@affil\@affil@cleared
+}%
+\def\@affilclear@sw{\@ifx{\@affil\@affil@cleared}}%
+\appdef\class@inithook{%
+ \@affil@init
+}%
+\def\@affil@def#1{\def\@affil{{#1}{}}}%
+\def\@affil@join@#1#2#3{%
+  \def\@affil{{#1}{\@join{\@separator}{#2}{#3}}}%
+}%
+\def\@affil@join{\expandafter\@affil@join@\@affil}%
+\def\move@AF{%
+ \@affilclear@sw{}{%
+  \@booleanfalse\temp@sw
+  \let\@tempd\@empty
+  \@affils@sw{%
+    \expandafter\@firstoftwodef\expandafter\@tempa\@affil
+    \def\AFF@opr{\@affil@match\@tempa}%
+    \@AFF@list
+  }{}\temp@sw
+  {%
+   \expandafter\@secondoftwodef\expandafter\@tempb\@affil
+   \@ifx{\@tempb\@empty}{}{%
+    \@ifx{\@tempb\@tempd}{}{%
+     \class@warn{%
+      Ancillary information for \@tempa\space must not be different!
+      Please put it on the first instance%
+     }%
+    }%
+   }%
+   \appdef@eval\AF@grp\@tempc
+  }%
+  {%
+    \@if@empty{\expandafter\@firstoftwo\@affil}{%
+\edef\@tempc{\z@}%
+    }{%
+\stepcounter{affil}%
+\edef\@tempc{\theaffil}%
+    }%
+\appdef     \@AFF@list{\AFF@opr}%
+\appdef@eval\@AFF@list\@tempc
+\appdef@e   \@AFF@list{\@affil}%
+\appdef@eval\AF@grp\@tempc
+  }%
+  \@affil@init
+ }%
+}%
+\def\@firstoftwodef#1#2#3{%
+ \def#1{#2}%
+}%
+\def\@secondoftwodef#1#2#3{%
+ \def#1{#3}%
+}%
+\def\move@AUAF{%
+ \@ifx{\AF@grp\@empty}%
+ {}{%
+    \appdef     \@AAC@list{\AF@opr}%
+    \appdef@eval\@AAC@list{\AF@grp}%
+    \appdef@e   \@AAC@list{\AU@grp}%
+    \@ifx{\@empty\AU@grp}{}{%
+     \@ifx{\@empty\AF@grp}{}{%
+      \@booleanfalse\temp@sw
+      \def\AFS@opr{\x@match\AF@grp}%
+      \@AFG@list
+      \temp@sw{}{%
+        \appdef     \@AFG@list{\AFS@opr}%
+        \appdef@eval\@AFG@list{\AF@grp}%
+      }%
+     }%
+    }%
+    \let\AU@grp\@empty
+    \let\AF@grp\@empty
+ }%
+}%
+\appdef\class@inithook{%
+ \let\@AAC@list\@empty
+}%
+\appdef\class@inithook{%
+ \let\@AFG@list\@empty
+}%
+\appdef\class@inithook{%
+ \let\@AFF@list\@empty
+}%
+\let\AF@grp\@empty
+\def\@affil@match#1#2#3#4{%
+ \temp@sw{}{%
+  \def\@tempifx{#3}%
+  \@ifx{\@tempifx#1}{%
+    \@booleantrue\temp@sw
+    \def\@tempc{#2}%
+    \def\@tempd{#4}%
+  }{%
+  }%
+ }%
+}%
+\appdef\class@inithook{%
+ \let\@AF@join\@AF@join@error
+}%
+\def\@AF@join@error#1{%
+ \class@warn{%
+  \string\email, \string\homepage, \string\thanks, or \string\altaffiliation\space
+  appears in wrong context.
+ }%
+}%
+\def\sanitize@url{%
+ \@makeother\%%
+ \@makeother\~%
+ \@makeother\_%
+}%
+\newcommand*\email[1][Electronic address: ]{\begingroup\sanitize@url\@email{#1}}%
+\def\@email#1#2{%
+ \endgroup
+ \@AF@join{#1\href{mailto:#2}{#2}}%
+}%
+\newcommand*\homepage[1][URL:~]{\begingroup\sanitize@url\@homepage{#1}}%
+\def\@homepage#1#2{%
+ \endgroup
+ \@AF@join{#1\url{#2}}%
+}%
+\appdef\class@documenthook{%
+ \providecommand\url{\texttt}%
+ \providecommand\href[2]{\url{#2}}%
+}%
+\def\thanks{% implicit #1
+  \@AF@join
+}%
+\newcommand*\altaffiliation[2][]{%
+  \@AF@join{#1#2}%
+}%
+\def\set@listcomma@list#1{%
+  \expandafter\@reset@ac\expandafter#1#1{0}\@reset@ac{%
+   \let\@listcomma\relax
+  }{%
+   \let\@listcomma\@listcomma@comma
+  }%
+}%
+\def\set@listcomma@count#1{%
+\@ifnum{#1=\tw@}{%
+\let\@listcomma\relax
+}{%
+\let\@listcomma\@listcomma@comma
+}%
+}%
+\def\@reset@ac#1#2#3\@reset@ac{%
+  \def#1{#3}%
+  \@tempcnta#2\relax
+  \@ifnum{#2=\tw@}%
+}%
+\def\@listand{\@ifnum{\@tempcnta=\tw@}{\andname\space}{}}%
+\def\@listcomma@comma{\@ifnum{\@tempcnta>\@ne}{,}{}}%
+\def\@listcomma@comma@UK{\@ifnum{\@tempcnta>\tw@}{,}{}}%
+\def\@collaboration@err#1#2{%
+}%
+\def\doauthor#1#2#3{%
+  \ignorespaces#1\unskip\@listcomma
+  \def\@tempifx{#3}%
+  \@ifx{\@tempifx\@empty}{%
+   \def\@tempifx{#2}%
+   \@ifx{\@tempifx\@empty}{}{\frontmatter@footnote{#2}}%
+  }{%
+   #3%
+   \def\@tempifx{#2}%
+   \@ifx{\@tempifx\@empty}{}{\comma@space\frontmatter@footnote{#2}}%
+  }%
+  \space \@listand
+}%
+\def\@thanks{\comma@space\footnote}
+\def\x@match#1#2{%
+ \temp@sw{}{%
+  \def\@tempifx{#2}%
+  \@ifx{\@tempifx#1}{%
+    \@booleantrue\temp@sw
+  }{%
+  }%
+ }%
+}%
+\def\y@match#1#2#3{%
+ \temp@sw{}{%
+  \def\@tempifx{#3}%
+  \@ifx{\@tempifx#1}{%
+    \@booleantrue\temp@sw
+    \def\@tempb{#2}%
+  }{%
+  }%
+ }%
+}%
+\def\frontmatter@footnote#1{%
+ \begingroup
+  \@booleanfalse\temp@sw
+  \def\@tempa{#1}%
+  \let\@tempb\@empty
+  \def\@TBN@opr{\y@match\@tempa}%
+  \@FMN@list
+  \temp@sw{%
+   \expandafter\frontmatter@footnotemark
+   \expandafter{\@tempb}%
+  }{%
+   \stepcounter\@mpfn
+   \protected@xdef\@tempb{\the\csname c@\@mpfn\endcsname}%
+   \expandafter\frontmatter@footnotemark
+   \expandafter{\@tempb}%
+   \expandafter\g@addto@macro
+   \expandafter\@FMN@list
+   \expandafter{%
+   \expandafter \@TBN@opr
+   \expandafter {\@tempb}{#1}%
+               }%
+  }%
+ \endgroup
+}%
+\appdef\class@inithook{%
+ \global\let\@FMN@list\@empty
+}%
+\def\frontmatter@footnotemark#1{%
+ \leavevmode
+ \ifhmode\edef\@x@sf{\the\spacefactor}\nobreak\fi
+  \begingroup
+   \hyper@linkstart {link}{frontmatter@#1}%
+    \csname c@\@mpfn\endcsname#1\relax
+    \def\@thefnmark{\thempfn}%
+    \@makefnmark
+   \hyper@linkend
+  \endgroup
+ \ifhmode\spacefactor\@x@sf\fi
+ \relax
+}%
+\def\keywords#1{%
+  \aftermaketitle@chk{\keywords}%
+  \gdef\@keywords{#1}%
+}%
+\def\@keywords{}%
+\renewcommand*\date[2][\Dated@name]{\def\@date{#1#2}}%
+\def\@date{}%
+\newcommand*\received[2][\Received@name]{\def\@received{#1#2}}%
+\def\@received{}%
+\newcommand*\revised[2][\Revised@name]{\def\@revised{#1#2}}%
+\def\@revised{}%
+\newcommand*\accepted[2][\Accepted@name]{\def\@accepted{#1#2}}%
+\def\@accepted{}%
+\newcommand*\published[2][\Published@name]{\def\@published{#1#2}}%
+\def\@published{}%
+\def\pacs#1{%
+  \aftermaketitle@chk{\pacs}%
+  \gdef\@pacs{#1}%
+}%
+\def\@pacs{}%{\class@warn{No PACS numbers}}%
+\def\preprint#1{\gappdef\@preprint{\preprint{#1}}}%
+\let\@preprint\@empty
+\newbox\absbox
+\newenvironment{abstract}{%
+  \aftermaketitle@chk{\begin{abstract}}%
+  \global\setbox\absbox\vbox\bgroup
+   \color@begingroup
+   \columnwidth\textwidth
+   \hsize\columnwidth
+   \@parboxrestore
+   \def\@mpfn{mpfootnote}\def\thempfn{\thempfootnote}\c@mpfootnote\z@
+   \let\@footnotetext\frontmatter@footnotetext
+   \minipagefootnote@init
+   \let\@listdepth\@mplistdepth \@mplistdepth\z@
+   \@minipagerestore
+   \@setminipage
+    \frontmatter@abstractheading
+    \frontmatter@abstractfont
+    \let\footnote\mini@note
+}{%
+    \par
+    \unskip
+    \minipagefootnote@here
+    \@minipagefalse   %% added 24 May 89
+    \color@endgroup
+  \egroup
+}%
+\long\def\frontmatter@footnotetext#1{%
+  \minipagefootnote@pick
+    \reset@font\footnotesize
+    \interlinepenalty \interfootnotelinepenalty
+    \splittopskip \footnotesep
+    \splitmaxdepth \dp \strutbox
+    \set@footnotewidth
+    \@parboxrestore
+    \protected@edef\@currentlabel{\csname p@mpfootnote\endcsname\@thefnmark}%
+    \color@begingroup
+      \frontmatter@makefntext{%
+        \rule\z@\footnotesep\ignorespaces#1\@finalstrut\strutbox
+      }%
+    \color@endgroup
+  \minipagefootnote@drop
+}%
+\def\frontmatter@abstractheading{%
+ \begingroup
+  \centering\large
+  \abstractname
+  \par
+ \endgroup
+}%
+\def\frontmatter@abstractfont{}%
+\def\frontmatter@abstractwidth{\textwidth}
+\def\frontmatter@abstract@produce{%
+  \par
+  \preprintsty@sw{%
+   \do@output@MVL{%
+    \vskip\frontmatter@preabstractspace
+    \vskip200\p@\@plus1fil
+    \penalty-200\relax
+    \vskip-200\p@\@plus-1fil
+   }%
+  }{%
+   \addvspace{\frontmatter@preabstractspace}%
+  }%
+   \begingroup
+    \dimen@\baselineskip
+    \setbox\z@\vtop{\unvcopy\absbox}%
+    \advance\dimen@-\ht\z@\advance\dimen@-\prevdepth
+    \@ifdim{\dimen@>\z@}{\vskip\dimen@}{}%
+   \endgroup
+   \unvbox\absbox
+  \@ifx{\@empty\mini@notes}{}{\mini@notes\par}%
+  \addvspace\frontmatter@postabstractspace
+}%
+\def\frontmatter@preabstractspace{.5\baselineskip}
+\def\frontmatter@postabstractspace{.5\baselineskip}
+\newenvironment{titlepage}{%
+      \twocolumn@sw{\onecolumngrid}{\newpage}%
+      \thispagestyle{titlepage}%
+      \setcounter{page}\@ne
+}{%
+     \twocolumn@sw{\twocolumngrid}{\newpage}%
+     \twoside@sw{}{%
+        \setcounter{page}\@ne
+     }%
+}%
+\def\maketitle{%
+  \@author@finish
+  \title@column\titleblock@produce
+  \suppressfloats[t]%
+  \let\and\relax
+  \let\affiliation\@gobble
+  \let\author\@gobble
+  \let\@AAC@list\@empty
+  \let\@AFF@list\@empty
+  \let\@AFG@list\@empty
+  \let\@AF@join\@AF@join@error
+  \let\email\@gobble
+  \let\@address\@empty
+  \let\maketitle\relax
+  \let\thanks\@gobble
+  \titlepage@sw{%
+   \vfil
+   \clearpage
+  }{}%
+}%
+\def\titleblock@produce{%
+ \begingroup
+  \let\footnote\footnote@latex
+  \let\@makefnmark\@makefnmark@latex
+  \let\@footnotemark\@footnotemark@latex
+  \let\thefootnote\frontmatter@thefootnote
+  \global\c@footnote\z@
+  \let\@makefnmark\frontmatter@makefnmark
+  \frontmatter@setup
+  \thispagestyle{titlepage}\label{FirstPage}%
+  \frontmatter@title@produce
+  \groupauthors@sw{%
+   \frontmatter@author@produce@group
+  }{%
+   \frontmatter@author@produce@script
+  }%
+  \frontmatter@RRAPformat{%
+   \expandafter\produce@RRAP\expandafter{\@date}%
+   \expandafter\produce@RRAP\expandafter{\@received}%
+   \expandafter\produce@RRAP\expandafter{\@revised}%
+   \expandafter\produce@RRAP\expandafter{\@accepted}%
+   \expandafter\produce@RRAP\expandafter{\@published}%
+  }%
+  \frontmatter@abstract@produce
+  \@pacs@produce\@pacs
+  \@keywords@produce\@keywords
+  \par
+  \frontmatter@finalspace
+ \endgroup
+}%
+\def\frontmatter@title@produce{%
+ \begingroup
+  \frontmatter@title@above
+  \frontmatter@title@format
+  \@title
+  \@ifx{\@title@aux\@title@aux@cleared}{}{%
+   \expandafter\frontmatter@footnote\expandafter{\@title@aux}%
+  }%
+  \par
+%% \class@warn{Unused short title ignored}%
+  \frontmatter@title@below
+ \endgroup
+}%
+\appdef\let@mark{\let\\\relax}%
+\def\frontmatter@title@above{}%
+\def\frontmatter@title@format{}%
+\def\frontmatter@title@below{\addvspace{\baselineskip}}%
+\def\frontmatter@author@produce@script{%
+  \begingroup
+    \let\@author@present\@author@present@script
+    \let\AU@temp\@empty
+    \@tempcnta\z@
+    \let\AF@opr \@gobble
+    \def\AU@opr{\@author@count\@tempcnta}%
+    \def\CO@opr{\@collaboration@count\AU@temp\@tempcnta}%
+    \@AAC@list
+    \expandafter\CO@opr\@author@cleared
+    \begingroup
+\frontmatter@authorformat
+\let\AF@opr \@affilID@def
+\let\AU@opr \@author@present
+\def\CO@opr{\@collaboration@present\AU@temp}%
+\set@listcomma@list\AU@temp
+\@AAC@list
+\unskip\unskip
+\par
+\endgroup
+    \begingroup
+\frontmatter@above@affiliation@script
+\let\AFF@opr \@affil@script
+     \@AFF@list
+\frontmatter@footnote@produce
+\par
+\endgroup
+  \endgroup
+}%
+\def\@author@count#1{\advance#1\@ne\@author@gobble}%
+\def\@collaboration@present#1#2#3{%
+ \par
+ \begingroup
+  \frontmatter@collaboration@above
+  \@author@present{(\ignorespaces#2\unskip)}{#3}%
+  \par
+ \endgroup
+ \set@listcomma@list#1%
+}%
+\def\frontmatter@collaboration@above{}%
+\def\@collaboration@count#1#2{%
+ \appdef@eval#1{\the#2}#2\z@
+ \@author@gobble
+}%
+\def\@affilID@def{\def\@affilID@temp}%
+\let\@affilID@temp\@empty
+\def\affil@script#1#2#3{%
+ \def\@tempifx{#1}\@ifx{\@tempifx\@tempa}{%
+  \@if@empty{#2}{}{%
+   \par
+   \begingroup
+    \textsuperscript{\normalfont#1}%
+    #2%
+    \@if@empty{#3}{}{\frontmatter@footnote{#3}}%
+    \par
+   \endgroup
+  }%
+ }{}%
+}%
+\def\@affil@script#1#2#3{%
+ \@ifnum{#1=\z@}{}{%
+  \par
+  \begingroup
+   \frontmatter@affiliationfont
+   \textsuperscript{#1}%
+   #2%
+   \@if@empty{#3}{}{\frontmatter@footnote{#3}}%
+   \par
+  \endgroup
+ }%
+}%
+\def\@author@present@script#1#2{%
+ \begingroup
+  \gdef\comma@space{\textsuperscript{,\,}}%
+ \doauthor{#1}{#2}{%
+  \let\@tempa\@empty
+  \expandafter\@affil@present@script\@affilID@temp\relax
+ }%
+ \endgroup
+ \advance\@tempcnta\m@ne
+}%
+\def\@affilcomma#1#2{%
+ \@ifx{\z@#1}{%
+  \@ifx{\relax#2}{}{%
+   \@affilcomma{#2}%
+  }%
+ }{%
+  #1%
+  \@ifx{\relax#2}{}{%
+   \@ifx{\z@#2}{%
+    \@affilcomma
+   }{%
+    ,\,\@affilcomma{#2}%
+   }%
+  }%
+ }%
+}%
+\def\@affil@present@script#1{%
+ \@ifx{\relax#1}{%
+  \@ifx{\@tempa\@empty}{}{%
+   \textsuperscript{\expandafter\@affilcomma\@tempa\relax\relax}%
+  }%
+ }{%
+  \@ifx{\z@#1}{}{\appdef\@tempa{{#1}}}%
+  \@affil@present@script
+ }%
+}%
+\@provide\@author@parskip{\z@skip}%
+\def\frontmatter@author@produce@group{%
+  \begingroup
+    \let\@author@present\@author@present@group
+    \frontmatter@authorformat
+    \let\AFS@opr \affils@present@group
+    \let\@listcomma\relax
+    \@AFG@list
+    \frontmatter@footnote@produce
+    \par
+  \endgroup
+  \frontmatter@authorbelow
+}%
+\@provide\frontmatter@authorbelow{}%
+\def\affils@present@group#1{%
+ \begingroup
+   \def\AF@temp{#1}%               % 0B13
+   \@tempcnta\z@
+   \let\AU@opr \undefined          % 0B13
+   \let\CO@opr \undefined          % 0B13
+   \def\AF@opr{\@affilID@count\AF@temp\@tempcnta}% 0B13
+   \@AAC@list
+   \@ifnum{\@tempcnta=\z@}{}{%
+    \begingroup
+     \frontmatter@above@affilgroup
+     \set@listcomma@count\@tempcnta
+     \let\AU@opr \undefined          % 0B13
+     \let\CO@opr \undefined          % 0B13
+     \def\AF@opr{\@affilID@match\AF@temp}%
+     \@AAC@list
+    \endgroup
+    \begingroup
+     \par
+     \frontmatter@above@affiliation
+     \frontmatter@affiliationfont
+     \let\\\frontmatter@addressnewline
+     \@tempcnta\z@
+     \@tfor\AF@temp:=#1\do{%
+      \expandafter\@ifx\expandafter{\z@\AF@temp}{}{%
+       \advance\@tempcnta\@ne
+      }%
+     }%
+     \@ifnum{\@tempcnta=\tw@}{%
+      \let\@listcomma\relax
+     }{}%
+     \def\after@address{\@listcomma\ \@listand}%
+     \runinaddress@sw{%
+     }{%
+      \tightenlines@sw{%
+      }{%
+       \parskip\z@ %space between affilations in grouped mode
+      }%
+      \appdef\after@address\par
+     }%
+     \let\AFF@opr \@affil@group
+     \do@affil@fromgroup\@AFF@list#1\relax
+    \endgroup
+   }%
+   \par
+ \endgroup
+}%
+\def\@affilID@count#1#2#3{%
+  \def\@tempifx{#3}%
+  \@ifx{\@tempifx#1}{%
+    \def\AU@opr{\@author@count#2}%
+  }{%
+    \let\AU@opr \@author@gobble
+  }%
+  \let\CO@opr \@collaboration@err
+}%
+\def\@affilID@match#1#2{%
+ \def\@tempifx{#2}%
+ \@ifx{\@tempifx#1}{%
+   \let\AU@opr \@author@present
+ }{%
+   \let\AU@opr \@author@gobble
+ }%
+  \let\CO@opr \@collaboration@err
+}%
+\def\do@affil@fromgroup#1#2{%
+  \@ifx{\relax#2}{}{%
+\count@#2\relax
+\@ifnum{\count@=\z@}{}{#1}%
+    \do@affil@fromgroup#1%
+  }%
+}%
+\def\@affil@group#1#2#3{%
+  \@ifnum{\count@=#1\relax}{%
+    \@ifx{#2\blankaffiliation}{}{%
+#2%
+\@if@empty{#3}{}{%
+\frontmatter@footnote{#3}%
+}%
+\after@address
+    }%
+    \advance\@tempcnta\m@ne
+  }{}%
+}%
+\def\@author@present@group#1#2{%
+  \gdef\comma@space{\gdef\comma@space{\textsuperscript{,\,}}}%
+  \doauthor{#1}{#2}{}%
+  \advance\@tempcnta\m@ne
+}%
+\def\@pacs@produce#1{%
+ \showPACS@sw{%
+  \begingroup
+   \frontmatter@PACS@format
+   \@pacs@name#1\par
+  \endgroup
+ }{%
+  \@if@empty{#1}{}{%
+   \class@warn{\PACS@warn}%
+  }%
+ }%
+}%
+\def\PACS@warn{If you want your PACS to appear in your output, use document class option showpacs}%
+\def\@keywords@produce#1{%
+ \showKEYS@sw{%
+  \begingroup
+   \frontmatter@keys@format
+   \@keys@name#1\par
+  \endgroup
+ }{%
+  \@if@empty{#1}{}{%
+   \class@warn{If you want your keywords to appear in your output, use document class option showkeys}%
+  }%
+ }%
+}%
+\def\frontmatter@footnote@produce@footnote{%
+ \let\@TBN@opr\present@FM@footnote
+ \@FMN@list
+ \global\let\@FMN@list\@empty
+}%
+\def\present@FM@footnote#1#2{%
+ \begingroup
+  \csname c@\@mpfn\endcsname#1\relax
+  \def\@thefnmark{\thempfn}%
+  \frontmatter@footnotetext{#2}%
+ \endgroup
+}%
+\def\frontmatter@footnote@produce@endnote{%
+}%
+\def\frontmatter@thefootnote{%
+ \altaffilletter@sw{\@alph}{\@fnsymbol}\c@footnote
+}%
+\def\frontmatter@makefnmark{%
+ \@textsuperscript{%
+  \normalfont\@thefnmark
+ }%
+}%
+\long\def\frontmatter@makefntext#1{%
+ \parindent 1em
+ \noindent
+ \Hy@raisedlink{\hyper@anchorstart{frontmatter@\the\c@footnote}\hyper@anchorend}%
+ \@makefnmark
+ #1%
+}%
+\def\frontmatter@setup{}%
+\def\frontmatter@RRAPformat#1{%
+ \removelastskip
+ \begingroup
+  \frontmatter@RRAP@format
+  #1\par
+ \endgroup
+}%
+\def\punct@RRAP{; }%
+\def\produce@RRAP#1{%
+  \@if@empty{#1}{}{%
+   \@ifvmode{\leavevmode}{\unskip\punct@RRAP\ignorespaces}%
+   #1%
+  }%
+}%
+\def\frontmatter@authorformat{}%
+\def\frontmatter@above@affilgroup{}%
+\def\frontmatter@above@affiliation{}%
+\def\frontmatter@above@affiliation@script{}%
+\def\frontmatter@affiliationfont{}%
+\def\frontmatter@RRAP@format{}%
+\def\frontmatter@PACS@format{}%
+\def\frontmatter@keys@format{}%
+\def\frontmatter@finalspace{\addvspace{18\p@}}
+\def\frontmatter@addressnewline{%
+  \@ifhmode{\skip@\lastskip\unskip\unpenalty\break\hskip\skip@}{}%
+  % was: \vskip-.5ex
+}%
+\def\frontmatter@preabstractspace{5.5\p@}
+\def\frontmatter@postabstractspace{6.5\p@}
+\def\aftermaketitle@chk#1{%
+  \@ifx{\maketitle\relax}{%
+    \class@err{\protect#1 must be used before \protect\maketitle}%
+  }{}%
+}%
+\def\ps@titlepage{\ps@empty}%
+\def\volumeyear#1{\gdef\@volumeyear{#1}}%
+\def\@volumeyear{}%
+\def\volumenumber#1{\gdef\@volumenumber{#1}}%
+\def\@volumenumber{}%
+\def\issuenumber#1{\gdef\@issuenumber{#1}}%
+\def\@issuenumber{}%
+\def\eid#1{\gdef\@eid{#1}}%
+\def\@eid{}%
+\def\startpage#1{\gdef\@startpage{#1}\c@page#1\relax}%
+\def\@startpage{\pageref{FirstPage}}%
+\def\endpage#1{\gdef\@endpage{#1}}%
+\def\@endpage{\pageref{LastPage}}%
+\def\print@toc#1{%
+ \begingroup
+  \expandafter\section
+  \expandafter*%
+  \expandafter{%
+              \csname#1name\endcsname
+              }%
+  \let\appendix\appendix@toc
+  \@starttoc{#1}%
+ \endgroup
+}%
+\def\appendix@toc{}%
+\def\labelenumi{\theenumi.}
+\def\theenumi{\arabic{enumi}}
+\def\labelenumii{(\theenumii)}
+\def\theenumii{\alph{enumii}}
+\def\p@enumii{\theenumi}
+\def\labelenumiii{\theenumiii.}
+\def\theenumiii{\roman{enumiii}}
+\def\p@enumiii{\theenumi(\theenumii)}
+\def\labelenumiv{\theenumiv.}
+\def\theenumiv{\Alph{enumiv}}
+\def\p@enumiv{\p@enumiii\theenumiii}
+\def\labelitemi{\textbullet}
+\def\labelitemii{\normalfont\bfseries\textendash}
+\def\labelitemiii{\textasteriskcentered}
+\def\labelitemiv{\textperiodcentered}
+\pagenumbering{arabic}
+\setcounter{topnumber}{2}
+\def\topfraction{.9}
+\setcounter{bottomnumber}{1}
+\def\bottomfraction{.9}
+\setcounter{totalnumber}{3}
+\def\textfraction{.1}
+\def\floatpagefraction{.9}
+\setcounter{dbltopnumber}{2}
+\def\dbltopfraction{.9}
+\def\dblfloatpagefraction{.9}
+\newenvironment{verse}{%
+  \let\\=\@centercr
+  \list{}{%
+    \itemsep\z@ \itemindent -1.5em\listparindent \itemindent
+    \rightmargin\leftmargin\advance\leftmargin 1.5em}\item[]%
+}{%
+ \endlist
+}%
+\newenvironment{quotation}{%
+  \list{}{%
+    \listparindent 1.5em
+    \itemindent\listparindent
+    \rightmargin\leftmargin \parsep \z@ \@plus\p@}\item[]%
+}{%
+ \endlist
+}%
+\newenvironment{quote}{%
+  \list{}{%
+  \rightmargin\leftmargin}\item[]%
+}{%
+ \endlist
+}%
+\def\descriptionlabel#1{%
+  \hspace\labelsep \normalfont\bfseries #1%
+}%
+\newenvironment{description}{%
+ \list{}{%
+    \labelwidth\z@ \itemindent-\leftmargin
+    \let\makelabel\descriptionlabel
+ }%
+}{%
+ \endlist
+}%
+\newcounter{part}
+\newcounter{section}
+\newcounter{subsection}[section]
+\newcounter{subsubsection}[subsection]
+\newcounter{paragraph}[subsubsection]
+\newcounter{subparagraph}[paragraph]
+\def\thepart          {\Roman{part}} %
+\def\thesection       {\Roman{section}}
+\def\p@section        {}
+\def\thesubsection    {\Alph{subsection}}
+\def\p@subsection     {\thesection\,}
+\def\thesubsubsection {\arabic{subsubsection}}
+\def\p@subsubsection  {\thesection\,\thesubsection\,}
+\def\theparagraph     {\alph{paragraph}}
+\def\p@paragraph      {\thesection\,\thesubsection\,\thesubsubsection\,}
+\def\thesubparagraph  {\arabic{subparagraph}}
+\def\p@subparagraph   {\thesection\,\thesubsection\,\thesubsubsection\,\theparagraph\,}
+\newenvironment{acknowledgments}{%
+ \acknowledgments@sw{%
+  \section*{\acknowledgmentsname}%
+ }{%
+  \par
+ \phantomsection
+  \addcontentsline{toc}{section}{\protect\numberline{}\acknowledgmentsname}%
+ }%
+}{%
+ \par
+}%
+\@booleantrue\acknowledgments@sw
+\newenvironment{acknowledgements}{%
+ \replace@environment{acknowledgements}{acknowledgments}%
+}{%
+ \endacknowledgments
+}%
+\def\part{\par
+   \addvspace{4ex}%
+   \@afterindentfalse
+   \secdef\@part\@spart}%
+\def\@part[#1]#2{%
+ \@ifnum{\c@secnumdepth >\m@ne}{%
+        \refstepcounter{part}%
+        \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%
+ }{%
+      \addcontentsline{toc}{part}{#1}%
+ }%
+ \begingroup
+    \parindent \z@ \raggedright
+    \interlinepenalty\@M
+    \@ifnum{\c@secnumdepth >\m@ne}{%
+      \Large \bf \partname~\thepart%
+      \par\nobreak
+    }{}%
+    \huge \bf
+    #2%
+    \markboth{}{}\par
+ \endgroup
+   \nobreak
+   \vskip 3ex
+   \@afterheading
+}%
+\def\@spart#1{{\parindent \z@ \raggedright
+    \interlinepenalty\@M
+    \huge \bf
+    #1\par}
+    \nobreak
+    \vskip 3ex
+    \@afterheading}
+\def\section{%
+  \@startsection
+    {section}%
+    {1}%
+    {\z@}%
+    {0.8cm \@plus1ex \@minus .2ex}%
+    {0.5cm}%
+    {\normalfont\small\bfseries}%
+}%
+\def\subsection{%
+  \@startsection
+    {subsection}%
+    {2}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {\normalfont\small\bfseries}%
+}%
+\def\subsubsection{%
+  \@startsection
+    {subsubsection}%
+    {3}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {\normalfont\small\itshape}%
+}%
+\def\paragraph{%
+  \@startsection
+    {paragraph}%
+    {4}%
+    {\parindent}%
+    {\z@}%
+    {-1em}%
+    {\normalfont\normalsize\itshape}%
+}%
+\def\subparagraph{%
+  \@startsection
+    {subparagraph}%
+    {5}%
+    {\parindent}%
+    {3.25ex \@plus1ex \@minus .2ex}%
+    {-1em}%
+    {\normalfont\normalsize\bfseries}%
+}%
+\def\theequation{%
+ \theequation@prefix\arabic{equation}%
+}%
+\def\theequation@prefix{}%
+\AtEndOfClass{%
+ \expandafter\input\expandafter{\@pointsize pt\substyle@ext}%
+}%
+\setcounter{secnumdepth}{4}
+\lineskip 1pt
+\normallineskip 1pt
+\def\baselinestretch{1}%
+\@lowpenalty   51
+\@medpenalty  151
+\@highpenalty 301
+\@beginparpenalty -\@lowpenalty
+\@endparpenalty   -\@lowpenalty
+\@itempenalty     -\@lowpenalty
+\arraycolsep 3pt
+\tabcolsep 2pt
+\arrayrulewidth .4pt
+\doublerulesep 2pt
+\skip\@mpfootins = 0pt
+\fboxsep  = 3.0pt
+\fboxrule = 0.4pt
+\newenvironment{figure}
+               {\@float{figure}}
+               {\end@float}
+\newenvironment{figure*}
+               {\@dblfloat{figure}}
+               {\end@dblfloat}
+\newlength\abovecaptionskip
+\newlength\belowcaptionskip
+\setlength\abovecaptionskip{10\p@}
+\setlength\belowcaptionskip{2\p@}
+\long\def\@makecaption#1#2{%
+  \par
+  \vskip\abovecaptionskip
+  \begingroup
+   \small\rmfamily
+   \sbox\@tempboxa{%
+    \let\\\heading@cr
+    #1: #2%
+   }%
+   \@ifdim{\wd\@tempboxa >\hsize}{%
+    \begingroup
+     \samepage
+     \flushing
+     \let\footnote\@footnotemark@gobble
+     #1: #2\par
+    \endgroup
+   }{%
+     \global \@minipagefalse
+     \hb@xt@\hsize{\hfil\unhbox\@tempboxa\hfil}%
+   }%
+  \endgroup
+  \vskip\belowcaptionskip
+}%
+\def\@footnotemark@gobble{%
+ \@footnotemark
+ \@ifnextchar[{\@gobble@opt@i}{\@gobble}%
+}%
+\def\@gobble@opt@i[#1]#2{}%
+\def\@mpmakefntext#1{%
+ \flushing
+ \parindent=1em
+ \noindent
+ \hb@xt@1em{\hss\@makefnmark}%
+ #1%
+}%
+\newcounter{figure}
+\renewcommand \thefigure {\@arabic\c@figure}
+\def\fps@figure{tbp}
+\def\ftype@figure{1}
+\def\ext@figure{lof}
+\def\fnum@figure{\figurename~\thefigure}
+\appdef\class@documenthook{%
+ \do@if@floats{figure}{.fgx}%
+}%
+\appdef\class@enddocumenthook{%
+ \printfigures\relax
+}%
+\newcommand\printfigures{%
+ \@ifstar{\true@sw}{\floatp@sw{\true@sw}{\false@sw}}%
+ {%
+  \print@float{figure}{\oneapage}%
+ }{%
+  \print@float{figure}{}%
+ }%
+}%
+\appdef\@xfloat@prep{%
+ \appdef\@parboxrestore{\centering}%
+ \let\@makefnmark\@makefnmark@latex
+ \let\@footnotemark\@footnotemark@latex
+}%
+\newenvironment{table}
+               {\@float{table}}
+               {\end@float}
+\newenvironment{table*}
+               {\@dblfloat{table}}
+               {\end@dblfloat}
+\newcounter{table}
+\renewcommand\thetable{\@Roman\c@table}
+\def\fps@table{tbp}
+\def\ftype@table{2}
+\def\ext@table{lot}
+\def\fnum@table{\tablename~\thetable}
+\def\table@hook{\small}%
+\def\squeezetable{\def\table@hook{\scriptsize}}%
+\appdef\@floatboxreset{\table@hook}%
+\appdef\class@documenthook{%
+ \floats@sw{}{%
+  \let@environment{longtable@float}{longtable}%
+  \let@environment{longtable}{longtable@write}%
+  \let@environment{longtable*@float}{longtable*}%
+  \let@environment{longtable*}{longtable*@write}%
+  \let@environment{turnpage@float}{turnpage}%
+  \let@environment{turnpage}{turnpage@write}%
+ }%
+ \do@if@floats{table}{.tbx}%
+}%
+\appdef\class@enddocumenthook{%
+ \printtables\relax
+}%
+\newenvironment{longtable@write}{%
+ \write@@float{longtable}{table}%
+}{%
+ \endwrite@float
+}%
+\newenvironment{longtable*@write}{%
+ \write@@float{longtable*}{table}%
+}{%
+ \endwrite@float
+}%
+\newenvironment{turnpage@write}{%
+ \immediate\write\tablewrite{\string\begin{turnpage}}%
+}{%
+ \immediate\write\tablewrite{\string\end{turnpage}}%
+}%
+\newcommand\printtables{%
+ \begingroup
+  \let@environment{longtable}{longtable@float}%
+  \let@environment{longtable*}{longtable*@float}%
+  \let@environment{turnpage}{turnpage@anchored}%
+  \prepdef\longtable{\trigger@float@par}%
+  \expandafter\prepdef\csname longtable*\endcsname{\trigger@float@par}%
+  \expandafter\prepdef\csname table@floats\endcsname{%
+   \onecolumngrid@push
+  }%
+  \expandafter\appdef\csname endtable@floats\endcsname{%
+   \onecolumngrid@pop
+  }%
+  \@ifstar{\true@sw}{\floatp@sw{\true@sw}{\false@sw}}%
+  {%
+   \print@float{table}{\oneapage}%
+  }{%
+   \print@float{table}{}%
+  }%
+ \endgroup
+}%
+\newenvironment{turnpage@anchored}{%
+ \onecolumngrid@push
+ \setbox\z@\vbox to\textwidth\bgroup
+  \columnwidth\textheight
+}{%
+  \vfil
+ \egroup
+ \rotatebox{90}{\box\z@}%
+ \onecolumngrid@pop
+}%
+\def\endtabular@hook{}%
+\appdef\class@documenthook{%
+ \@ifpackageloaded{dcolumn}{%
+  \newcolumntype{d}{D{.}{.}{-1}}%
+ }{}%
+}%
+\def\toprule{\hline\hline}%
+\def\colrule{\hline}%
+\def\botrule{\hline\hline}%
+\newenvironment{ruledtabular}{%
+ \def\array@default{v}%
+ \appdef\tabular@hook{\def\@halignto{to\hsize}}%
+ \let\tableft@skip@default\tableft@skip
+ \let\tableft@skip\tableft@skip@float
+ \let\tabmid@skip@default\tabmid@skip
+ \let\tabmid@skip\tabmid@skip@float
+ \let\tabright@skip@default\tabright@skip
+ \let\tabright@skip\tabright@skip@float
+ \let\array@row@pre@default\array@row@pre
+ \let\array@row@pre\array@row@pre@float
+ \let\array@row@pst@default\array@row@pst
+ \let\array@row@pst\array@row@pst@float
+ \appdef\array@row@rst{%
+  \let\array@row@pre\array@row@pre@default
+  \let\array@row@pst\array@row@pst@default
+  \let\tableft@skip\tableft@skip@default
+  \let\tabmid@skip\tabmid@skip@default
+  \let\tabright@skip\tabright@skip@default
+  \appdef\tabular@hook{\let\@halignto\@empty}%
+ }%
+}{%
+}%
+\def\@makefntext#1{%
+  \def\baselinestretch{1}%
+  \reset@font\footnotesize
+  \parindent 1em%
+  \noindent
+  \hb@xt@1.8em{%
+   \Hy@raisedlink{\hyper@anchorstart{footnote@\the\c@footnote}\hyper@anchorend}%
+   \hss\@makefnmark
+  }%
+  #1\par
+}%
+\newenvironment{thebibliography}{}{}%
+\let\@listi\@empty
+\RequirePackage[sort&compress]{natbib}[1999/05/28 7.0]%
+\let\NAT@thebibliography\thebibliography
+\let\NAT@endthebibliography\endthebibliography
+\let\bibliographystyle@latex\bibliographystyle
+\renewcommand\NAT@citesuper[3]{%
+ \ifNAT@swa
+  \leavevmode
+  \unskip
+  \textsuperscript{#1}%
+  \if*#3*\else\ (#3)\fi
+ \else
+  #1%
+ \fi
+ \endgroup
+}%
+\def\@makefnmark@cite{\begingroup\NAT@swatrue\@cite{{\@thefnmark}}{}{}}%
+\let\bibliographystyle@latex\bibliographystyle
+\def\bibliographystyle{\def\@bibstyle}%
+\def\bibsection{%
+ \@ifx@empty\refname{%
+  \par
+ }{%
+  \let\@hangfroms@section\@hang@froms
+  \section*{\refname}%
+  \@nobreaktrue
+ }%
+}%
+\let\NATx@bibsetnum\NAT@bibsetnum
+\def\NAT@bibsetnum#1{%
+ \setlength{\topsep}{\z@}%
+ \NATx@bibsetnum{\ref{LastBibItem}}%
+}%
+\let\NATx@bibsetup\NAT@bibsetup
+\def\NAT@bibsetup{%
+ \setlength{\labelwidth}{\z@}%
+ \setlength{\labelsep}{\z@}%
+ \setlength{\itemindent}{\z@}%
+ \setlength{\listparindent}{\z@}%
+ \setlength{\topsep}{\z@}%
+ \setlength{\parsep}{\z@}%
+ \NATx@bibsetup
+}%
+\let\bibpreamble\@empty
+\def\newblock{\ }%
+\let\NATx@bibnumfmt\bibnumfmt
+\def\bibnumfmt{\place@bibnumber}%
+\AtEndOfClass{%
+ \appdef\class@documenthook{%
+  \@ifxundefined\place@bibnumber{%
+   \let\place@bibnumber\NATx@bibnumfmt
+  }{}%
+ }%
+}%
+\let\NAT@citeyear\citeyear
+\def\NAT@onlinecite#1{%
+ \begingroup
+  \let\@cite\NAT@citenum
+  \let\NAT@mbox\mbox
+  \let\citeyear\NAT@citeyear
+  \def\NAT@space{ }%
+  \cite{#1}%
+ \endgroup
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\@onlinecite{\def\@onlinecite{\citealp}}{}%
+ \@ifxundefined\@textcite{\def\@textcite{\citet}}{}%
+}%
+\DeclareRobustCommand\onlinecite{\@onlinecite}%
+\DeclareRobustCommand\textcite{\@textcite}%
+\renewenvironment{thebibliography}[1]{%
+ \NAT@thebibliography{#1}%
+ \@clubpenalty\clubpenalty
+ \let\@TBN@opr\present@bibnote
+ \@FMN@list
+}{%
+ \@endnotesinbib
+ \edef\@currentlabel{\arabic{NAT@ctr}}%
+ \label{LastBibItem}%
+ \NAT@endthebibliography
+ \global\let\auto@bib\@empty
+}%
+\def\present@bibnote#1#2{%
+ \item[%
+  \textsuperscript{%
+   \normalfont
+   \Hy@raisedlink{\hyper@anchorstart{frontmatter@#1}\hyper@anchorend}%
+   \begingroup
+    \c@footnote#1\relax
+    \frontmatter@thefootnote
+   \endgroup
+  }%
+ ]#2\par
+}%
+\def\place@bibnumber@sup#1{\textsuperscript{#1}}%
+\def\place@bibnumber@inl#1{[#1]}%
+%% \begin{macro}{\@cite}
+%% \begin{macro}{\nocite}
+%% For the sake of Bib\TeX, we must execute the \cmd\bibliographystyle\ command
+%% (putting a \cmd\bibstyle\ command into the auxiliary file)
+%% somewhere before the first \cmd\cite\ command (or any other like command),
+%% which puts a \cmd\citation\ command into the auxiliary file.
+%%
+%% Therefore, we headpatch the two procedures in \classname{natbib} that can result in
+%% the appearance in the auxiliary file of a \cmd\citation\ command.
+%% These two procedures are \cmd\@cite\ and \cmd\nocite.
+%%
+%% Not!
+\def\write@bibliographystyle{%
+ \@ifxundefined\@bibstyle{}{%
+  \expandafter\bibliographystyle@latex\expandafter{\@bibstyle}%
+ }%
+ \global\let\write@bibliographystyle\relax
+}%
+\AtEndDocument{\write@bibliographystyle}%
+%% \end{macro}
+%% \end{macro}
+\def\super@cite[#1][#2]#3{%
+ \leavevmode
+ \skip@\lastskip
+ \unskip
+ \begingroup
+  \def\@tempa{[#1][#2]{#3}}%
+  \super@cite@
+}%
+\def\super@cite@{%
+ \futurelet\@let@token\super@cite@@
+}%
+\long\def\super@cite@@#1{%
+ \@ifx{\@let@token\@sptoken}{%
+  \aftergroup\@sptoken\false@sw
+ }{%
+  \@ifx{\@let@token.}{\true@sw}{%
+   \@ifx{\@let@token,}{\true@sw}{%
+    \@ifx{\@let@token'}{\true@sw}{%
+     \@ifx{\@let@token)}{\true@sw}{%
+      \false@sw
+     }%
+    }%
+   }%
+  }%
+ }%
+ {%
+  #1%
+  \super@cite@
+ }{%
+  \expandafter\@citex@NAT\@tempa\endgroup
+  #1%
+ }%
+}%
+\AtBeginDocument{%
+ \citeautoscript@sw{%
+  \@ifx{\place@bibnumber\place@bibnumber@sup}{%
+   \let\@citex@NAT\@citex\let\@citex\super@cite
+  }{}%
+ }{}%
+}%
+\@ifx{\chapter\relax}{\let\chapter\@undefined}{}%
+\def\mini@note{\save@note\mini@notes}%Implicit #1
+\def\save@note#1#2{%
+  \stepcounter{footnote}%
+  \protected@xdef\@thefnmark{\the\c@footnote}%
+  \@footnotemark
+  \expandafter\g@addto@macro
+  \expandafter#1%
+  \expandafter{%
+  \expandafter \@@footnotetext
+  \expandafter {\@thefnmark}{#2}%
+              }%
+}%
+\long\def\@@footnotetext#1{\def\@thefnmark{#1}\@footnotetext}%
+\let\mini@notes\@empty
+\def\endnote{%
+ \begingroup
+  \aftergroup\@footnotemark
+  \aftergroup\@endnotetext
+  \@ifnextchar[{%
+   \@xendnote
+  }{%
+   \stepcounter{footnote}%
+   \protected@xdef\@tempa{\thefootnote}%
+   \expandafter\@xendnote\expandafter[\@tempa]%
+ }%
+}%
+\def\@xendnote[#1]{%
+  \begingroup
+   \c@footnote#1\relax
+   \unrestored@protected@xdef\@thefnmark{endnote\thefootnote}%
+  \endgroup
+ \endgroup
+}%
+\def\@endnotemark{%
+ \expandafter\cite\expandafter{\@thefnmark}%
+}%
+\def\endnote@ext{.end}%
+\long\def\@endnotetext#1{%
+  \@ifxundefined\@endnoteout{%
+    \newwrite\@endnoteout
+    \gdef\endnote@stream{\jobname\endnote@ext}%
+    \immediate\openout\@endnoteout\endnote@stream\relax
+  }{}%
+  \begingroup
+    \let\label\relax \let\index\relax \let\glossary\relax
+    \let\cite \relax \let\ref  \relax \let\pageref \relax
+    \let\(    \relax \let\)    \relax \let\\    \relax
+    \let \protect \@unexpandable@protect
+    \newlinechar`\^^M%
+    \immediate\write\@endnoteout{\string\@doendnote{\@thefnmark}{#1}}%
+  \endgroup
+}%
+\def\endnotetext{%
+  \@ifnextchar[{%
+   \@xendnotenext
+  }{%
+   \protected@xdef\@thefnmark{\thefootnote}%
+   \@endnotetext
+  }%
+}%
+\def\@xendnotenext[#1]{%
+  \begingroup
+     \c@footnote#1\relax
+     \unrestored@protected@xdef\@thefnmark{\thefootnote}%
+  \endgroup
+  \@endnotetext
+}%
+\def\printendnotes{%
+ \@ifx{\@endnoteout\@undefined}{}{%
+  \begingroup
+   \c@secnumdepth-\maxdimen
+   \section{%
+    \notesname
+   }%
+   \immediate\closeout\@endnoteout
+   \global\let\@endnoteout\@undefined
+   \begin{enumerate}%
+   \makeatletter
+   \input{\endnote@stream}%
+   \end{enumerate}%
+  \endgroup
+ }%
+}%
+\appdef\class@enddocumenthook{%
+ \printendnotes
+}%
+\mathchardef\firstnote@num\z@
+\appdef\class@documenthook{%
+ \global\c@footnote\firstnote@num
+ \appdef\maketitle{\global\c@footnote\firstnote@num}%
+}%
+\def\set@firstnote#1{%
+ \@ifnum{\firstnote@num=#1\relax}{}{%
+  \class@warn@end{Endnote numbers changed: rerun LaTeX}%
+ }%
+ \immediate\write\@mainaux{%
+   \global\chardef\string\firstnote@num#1\relax
+ }%
+}%
+\def\@endnotesinbib{%
+ \set@firstnote\z@
+}%
+\def\@endnotesinbibliography{%
+ \expandafter\set@firstnote\expandafter{\the\c@NAT@ctr}%
+ \@ifx{\@endnoteout\@undefined}{}{%
+  \immediate\closeout\@endnoteout
+  \global\let\@endnoteout\@undefined
+  \makeatletter
+  \input{\endnote@stream}%
+ }%
+}%
+\appdef\class@documenthook{%
+ \let\@makefnmark@latex\@makefnmark
+ \let\@footnotemark@latex\@footnotemark
+ \footinbib@sw{%
+  \let\footnote\endnote
+  \let\@footnotemark\@endnotemark
+  \let\@makefnmark\@makefnmark@cite
+  \let\@endnotesinbib\@endnotesinbibliography
+  \appdef\class@enddocumenthook{\auto@bib}%
+  \let\printendnotes\relax
+ }{}%
+}%
+\def\auto@bib{%
+ \@ifx@empty\@FMN@list{%
+  \@ifxundefined\@endnoteout{%
+   \false@sw
+  }{%
+   \true@sw
+  }%
+ }{%
+  \true@sw
+ }{%
+  \begin{thebibliography}{}\end{thebibliography}%
+ }%
+}%
+\def\@doendnote#1#2{\bibitem{#1}#2}
+\appdef\class@documenthook{%
+\@ifxundefined\@evenhead{%
+\@ifxundefined\@oddhead{%
+\@ifxundefined\@oddfoot{%
+\@ifxundefined\@evenfoot{%
+\preprintsty@sw{%
+\ps@preprint
+}{%
+\ps@article
+}%
+}{}%
+}{}%
+}{}%
+}{}%
+ \pagenumbering{arabic}%
+ \normalsize
+ \tabbingsep \labelsep
+ \leftmargin\leftmargini
+ \labelwidth\leftmargin\advance\labelwidth-\labelsep
+ \let\@listi\@listI
+ \@listi
+ \def\curr@envir{document}%
+ \mark@envir{\curr@envir}%
+ \twocolumn@sw{%
+  \open@column@mlt\tw@
+  \set@colht
+  \@floatplacement
+  \@dblfloatplacement
+  \sloppy
+  \@booleanfalse\raggedcolumn@sw
+  \let\set@listindent\set@listindent@
+ }{%
+  \open@column@one\@ne
+  \set@colht
+  \@floatplacement
+  \@dblfloatplacement
+  \sloppy
+  \let\set@listindent\set@listindent@parshape
+ }%
+}%
+\def\appendix{%
+ \par
+ \setcounter{section}\z@
+ \setcounter{subsection}\z@
+ \setcounter{subsubsection}\z@
+ \def\thesubsection{\arabic{subsection}}%
+ \def\thesubsubsection{\alph{subsubsection}}%
+ \@addtoreset{equation}{section}%
+ \def\theequation@prefix{\thesection}%
+ \addtocontents{toc}{\protect\appendix}%
+ \@ifstar{%
+  \def\thesection{\unskip}%
+  \def\theequation@prefix{A.}%
+ }{%
+  \def\thesection{\Alph{section}}%
+ }%
+}%
+\def\title@column@default#1{%
+ \minipagefootnote@init
+ #1%
+ \minipagefootnote@foot
+}%
+\def\close@column@default{%
+ \newpage
+}%
+\def\galley@outdent{\rightmargin-\columnwidth\advance\rightmargin-\columnsep}%
+\let\widetext@outdent\@empty
+\newenvironment{widetext@galley}{%
+  \list{}{%
+    \topsep        \z@skip
+    \listparindent \parindent
+    \itemindent    \parindent
+    \leftmargin    \z@
+    \parsep        \z@\@plus\p@
+    \widetext@outdent
+    \relax
+  }%
+  \item\relax
+}{
+  \endlist
+}%
+\def\title@column@grid#1{%
+ \minipagefootnote@init
+  \onecolumngrid
+  \begingroup
+   \let\@footnotetext\frontmatter@footnotetext
+   \let\set@footnotewidth\set@footnotewidth@ii
+   #1%
+  \endgroup
+  \twocolumngrid
+ \minipagefootnote@foot
+}%
+\def\close@column@grid{%
+ \balancelastpage@sw{%
+  \onecolumngrid
+ }{}%
+}%
+\newenvironment{widetext@grid}{%
+  \par\ignorespaces
+  \setbox\widetext@top\vbox{%
+   \vskip15\p@
+   \hb@xt@\hsize{%
+    \leaders\hrule\hfil
+    \vrule\@height6\p@
+   }%
+   \vskip6\p@
+  }%
+  \setbox\widetext@bot\hb@xt@\hsize{%
+    \vrule\@depth6\p@
+    \leaders\hrule\hfil
+  }%
+  \onecolumngrid
+  \dimen@\ht\widetext@top\advance\dimen@\dp\widetext@top
+  \cleaders\box\widetext@top\vskip\dimen@
+  \let\set@footnotewidth\set@footnotewidth@ii
+}{%
+  \par
+  \setbox\widetext@bot\vbox{%
+   \hb@xt@\hsize{\hfil\box\widetext@bot}%
+   \vskip14\p@
+  }%
+  \dimen@\ht\widetext@bot\advance\dimen@\dp\widetext@bot
+  \cleaders\box\widetext@bot\vskip\dimen@
+  \twocolumngrid\global\@ignoretrue
+  \@endpetrue
+}%
+\newbox\widetext@top
+\newbox\widetext@bot
+\appdef\class@documenthook{%
+ \twocolumn@sw{%
+  \let@environment{widetext}{widetext@grid}%
+  \let\title@column\title@column@grid
+  \let\close@column\close@column@grid
+ }{%
+  \let@environment{widetext}{widetext@galley}%
+  \preprintsty@sw{%
+  }{%
+   \galley@sw{%
+    \let\widetext@outdent\galley@outdent
+   }{%
+   }%
+  }%
+ }%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\title@column{%
+  \let\title@column\title@column@default
+ }{}%
+}%
+\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
+\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
+\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
+\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
+\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
+\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
+\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
+\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
+\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}
+\def\today{\ifcase\month\or
+  January\or February\or March\or April\or May\or June\or
+  July\or August\or September\or October\or November\or December\fi
+  \space\number\day, \number\year}
+\def\notesname{Notes}
+\def\partname{Part}
+\def\tocname{Contents}
+\def\lofname{List of Figures}
+\def\lotname{List of Tables}
+\def\refname{References}
+\def\indexname{Index}
+\def\figurename{FIG.}
+\def\figuresname{Figures}%
+\def\tablename{TABLE}
+\def\tablesname{Tables}%
+\def\abstractname{Abstract}
+\def\appendixesname{Appendixes}%
+\def\appendixname{Appendix}%
+\def\acknowledgmentsname{Acknowledgments}
+\def\journalname{??}
+\def\copyrightname{??}
+\def\andname{and}
+\def\@pacs@name{PACS numbers: }%
+\def\@keys@name{Keywords: }%
+\def\ppname{pp}
+\def\numbername{number}
+\def\volumename{volume}
+\def\Dated@name{Dated: }%
+\def\Received@name{Received }%
+\def\Revised@name{Revised }%
+\def\Accepted@name{Accepted }%
+\def\Published@name{Published }%
+\def\address{\replace@command\address\affiliation}%
+\def\altaddress{\replace@command\altaddress\altaffiliation}%
+\newenvironment{references}{%
+ \class@warn@end{The references environment is not supported; use thebibliography instead.}
+ \gdef\references{\thebibliography{}}\references
+}{%
+ \endthebibliography
+}%
+\def\draft{%
+ \class@warn@end{Command \string\draft\space is obsolete;^^JInvoke option draft instead.}%
+ \@booleantrue\draft@sw
+}%
+\def\tighten{%
+ \class@warn@end{Command \string\tighten\space is obsolete;^^JInvoke option tightenlines instead.}%
+ \@booleantrue\tightenlines@sw
+}%
+\def\tableline{%
+ \noalign{%
+  \class@warn@end{Command \string\tableline\space is obsolete;^^JUse \string\colrule\space instead.}%
+  \global\let\tableline\colrule
+ }%
+ \tableline
+}%
+\def\case{\replace@command\case\frac}%
+\def\slantfrac{\replace@command\slantfrac\frac}%
+\def\tablenote{\replace@command\tablenote\footnote}%
+\def\tablenotemark{\replace@command\tablenotemark\footnotemark}%
+\def\tablenotetext{\replace@command\tablenotetext\footnotetext}%
+\DeclareRobustCommand\REV@text[1]{%
+ \relax
+ \ifmmode
+  \mathchoice
+   {\hbox{{\everymath{\displaystyle     }#1}}}%
+   {\hbox{{\everymath{\textstyle        }#1}}}%
+   {\hbox{{\everymath{\scriptstyle      }\let\f@size\sf@size\selectfont#1}}}%
+   {\hbox{{\everymath{\scriptscriptstyle}\let\f@size\ssf@size\selectfont#1}}}%
+  \glb@settings
+ \else
+  \mbox{#1}%
+ \fi
+}%
+\DeclareRobustCommand\REV@bbox[1]{%
+ \relax
+ \ifmmode
+  \mathchoice
+   {\hbox{{\everymath{\displaystyle     }\boldmath$#1$}}}%
+   {\hbox{{\everymath{\textstyle        }\boldmath$#1$}}}%
+   {\hbox{{\everymath{\scriptstyle      }\boldmath$#1$}}}%
+   {\hbox{{\everymath{\scriptscriptstyle}\boldmath$#1$}}}%
+  \glb@settings
+ \else
+  \mbox{#1}%
+ \fi
+}%
+\DeclareRobustCommand\REV@bm[1]{%
+ \class@warn@end{To use \string\bm, please load the bm package!}%
+ \global\let\bm\relax
+}%
+\def\FL{\obsolete@command\FL}%
+\def\FR{\obsolete@command\FR}%
+\def\narrowtext{\obsolete@command\narrowtext}%
+\def\mediumtext{\obsolete@command\mediumtext}%
+\newenvironment{quasitable}{%
+ \let@environment{tabular}{longtable}%
+}{%
+}%
+\appdef\class@inithook{%
+ \@ifxundefined\text{\let\text\REV@text}{}%
+ \@ifxundefined\bm{\let\bm\REV@bm}{}%
+ \providecommand\bibinfo[2]{#2}%
+ \providecommand\eprint[2][]{#2}%
+ \providecommand\url[1]{#1}%
+}%
+\def\bbox#1{%
+ \class@warn@end{\string\bbox\space is obsolete,^^Jload the bm package and use \string\bm\space instead.}%
+ \global\let\bbox\relax
+}%
+\newenvironment{mathletters}{%
+ \class@warn@end{Environment {mathletters} is obsolete;^^Jload the amsmath package and use {subequations}!}%
+ \global\let\mathletters\@empty
+}{%
+}%
+\def\eqnum#1{%
+ \class@warn@end{\string\eqnum\space is obsolete, load the amsmath package and use \string\tag!}%
+ \global\let\eqnum\@gobble
+}%
+\RequirePackage{revsymb}%
+\appdef\class@inithook{\revsymb@inithook}%
+\AtEndOfClass{%
+ \InputIfFileExists{\jobname.rty}{}{}%
+}%
+\AtEndOfClass{%
+ \@ifxundefined\secnumarabic@sw{\@booleanfalse\secnumarabic@sw}{}%
+ \secnumarabic@sw{%
+  \def\p@section        {}%
+  \def\thesection       {\arabic{section}}%
+  \def\p@subsection     {}%
+  \def\thesubsection    {\thesection.\arabic{subsection}}%
+  \def\p@subsubsection  {}%
+  \def\thesubsubsection {\thesubsection.\arabic{subsubsection}}%
+ }{}%
+}%
+\AtEndOfClass{%
+ \appdef\class@documenthook{%
+  \defaults@hook
+ }%
+}%
+\@ifxundefined\defaults@hook{\let\defaults@hook\@empty}{}%
+\endinput
+%%
+%% End of file `revtex4.cls'.
diff --git a/Master/texmf-dist/tex/latex/revtex/rmp.rtx b/Master/texmf-dist/tex/latex/revtex/rmp.rtx
new file mode 100644
index 00000000000..fef6a4785e0
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/rmp.rtx
@@ -0,0 +1,238 @@
+%%
+%% This is file `rmp.rtx',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4.dtx  (with options: `rmp')
+%% 
+%% This file is part of the APS files in the REVTeX 4 distribution.
+%% For the version number, search on the string 
+%% Original version by David Carlisle
+%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% 
+%% Copyright (c) 1999 The American Physical Society.
+%% http://publish.aps.org/revtex4/
+%% mailto:revtex4@aps.org
+%% 
+%% See the REVTeX 4 README file for restrictions and more information.
+%% 
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]
+\ProvidesFile{rmp.rtx}
+          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ifx\undefined\substyle@ext
+ \def\@tempa{%
+  \endinput
+  \GenericWarning{I must be read in by REVTeX! (Bailing out)}%
+ }%
+ \expandafter\else
+  \def\@tempa{}%
+ \expandafter\fi\@tempa
+\@ifx@empty\@journal{%
+ \class@warn{I have to read in the aps substyle first!}%
+ \endinput
+ \def\@society{aps}\def\@journal{rmp}%
+ \expandafter\input\expandafter{\@society\substyle@ext}%
+}{}%
+\def\frontmatter@setup{%
+ \normalfont\sffamily\raggedright
+}%
+\def\PACS@warn{RMP documents do not display PACS. Your \string\pacs\space will be ignored}%
+\def\frontmatter@title@above{}%
+\def\frontmatter@title@format{\Large\bfseries\raggedright}% HelveticaNeue-Medium(Italic) 14pt.
+\def\frontmatter@title@below{\addvspace{12\p@}}% 24pt b-b down to first author
+\def\frontmatter@authorformat{%
+ \preprintsty@sw{\vskip0.5pc\relax}{}%
+ \@tempskipa\@flushglue
+ \@flushglue\z@ plus50\p@\relax
+ \raggedright\advance\leftskip.5in\relax
+ \@flushglue\@tempskipa
+ \parskip\z@skip
+}%
+\def\frontmatter@affiliationfont{% Helvetica 9/10.2
+ \small\slshape\selectfont\baselineskip10.5\p@\relax
+ \@tempskipa\@flushglue
+ \@flushglue\z@ plus50\p@\relax
+ \raggedright\advance\leftskip.5in\relax
+ \@flushglue\@tempskipa
+}%
+\def\frontmatter@above@affilgroup{\addvspace{7.2\p@}}% additional leading above an author
+\def\frontmatter@above@affiliation{\addvspace{5.3\p@}}%
+\def\frontmatter@above@affiliation@script{}%
+\@ifxundefined\groupauthors@sw{%
+ \clo@groupedaddress
+}{}%
+\def\frontmatter@RRAP@format{%
+  \addvspace{7.3\p@}%
+  \small
+  \raggedright\advance\leftskip.5in\relax
+}%
+\def\produce@RRAP#1{%
+  \@if@empty{#1}{}{%
+   \@ifvmode{\leavevmode}{}%
+   \unskip(\ignorespaces#1\unskip)\quad
+  }%
+}%
+\def\frontmatter@abstractheading{%
+ \preprintsty@sw{%
+  \begingroup
+   \centering\large
+   \abstractname
+   \par
+  \endgroup
+  \vspace{.5pc}%
+ }{}%
+}%
+\def\frontmatter@abstractfont{%
+ \footnotesize
+ \hsize360\p@
+ \leftskip=0.5in
+ \advance\hsize\leftskip
+ \parindent\z@
+}%
+\def\frontmatter@preabstractspace{7.7\p@}%
+\def\frontmatter@postabstractspace{24.6\p@}%
+ \appdef\set@typesize@hook{%
+  \@ifxundefined\preprintsty@sw{}{%
+   \preprintsty@sw{}{%
+    \def\normalsize{%
+     \@setsize\normalsize{12pt}\xpt\@xpt
+     \abovedisplayskip 10\p@ plus2\p@ minus5\p@
+     \belowdisplayskip \abovedisplayskip
+     \abovedisplayshortskip  \abovedisplayskip
+     \belowdisplayshortskip \abovedisplayskip
+     \let\@listi\@listI
+    }%
+   }%
+  }%
+ }%
+ \footnotesep 9.25pt
+ \skip\footins 36pt plus 4pt minus 2pt
+ \def\footnoterule{\kern-13pt\hrule width.5in\kern15.6pt\relax}%
+\def\thepart{\Roman{part}} %
+\def\thesection{\Roman{section}}
+\def\p@section{}
+\def\thesubsection{\Alph{subsection}}
+\def\p@subsection{\thesection.}
+\def\thesubsubsection{\arabic{subsubsection}}
+\def\p@subsubsection{\thesection.\thesubsection.}
+\def\theparagraph{\alph{paragraph}}
+\def\p@paragraph{\thesection.\thesubsection.\thesubsubsection.}
+\def\thesubparagraph{\arabic{subparagraph}}
+\def\p@subparagraph{\thesection.\thesubsection.\thesubsubsection.\theparagraph.}
+\def\@seccntformat#1{\csname the#1\endcsname.\hskip0.5em\relax}%
+ \def\section{%
+  \@startsection{section}{1}{\z@}{0.8cm plus1ex minus.2ex}{0.4cm}%
+  {%
+   \small\sffamily\bfseries\selectfont
+   \raggedright
+   \parindent\z@
+  }%
+ }%
+ \def\@hangfrom@section#1#2#3{\@hangfrom{#1#2}\MakeTextUppercase{#3}}%
+ \def\subsection{%
+  \@startsection{subsection}{2}{\z@}{0.8cm plus1ex minus.2ex}{0.4cm}%
+  {%
+   \small\sffamily\bfseries
+   \raggedright
+   \parindent\z@
+  }%
+ }%
+ \def\subsubsection{%
+  \@startsection{subsubsection}{3}{\z@}{.8cm plus1ex minus.2ex}{0.4cm}%
+  {%
+   \small\sffamily\selectfont
+   \raggedright
+   \parindent\z@
+  }%
+ }%
+ \def\paragraph{%
+  \@startsection{paragraph}{4}{\z@}{.8cm plus1ex minus.2ex}{-1em}%
+  {%
+   \small\slshape\selectfont
+   \raggedright
+   \parindent\z@
+  }%
+ }%
+ \def\subparagraph{%
+  \@startsection{subparagraph}{4}{\parindent}{3.25ex plus1ex minus.2ex}{-1em}%
+  {\normalsize\bfseries\selectfont}%
+ }%
+ \setcounter{tocdepth}{4}% FIXME: has no effect
+\appdef\appendix{%
+ \let\@hangfrom@section\@hangfrom@appendix
+ \let\@hangfroms@section\@hangfroms@appendix
+ \let\@sectioncntformat\@appendixcntformat
+}%
+\def\@hangfrom@appendix#1#2#3{%
+ #1%
+ \@if@empty{#2}{%
+  #3%
+ }{%
+  #2\@if@empty{#3}{}{:\ #3}%
+ }%
+}%
+\def\@hangfroms@appendix#1#2{%
+ #1\appendixname\@if@empty{#2}{}{:\ #2}%
+}%
+\def\@appendixcntformat#1{\appendixname\ \csname the#1\endcsname}%
+\setlength\belowcaptionskip{2\p@}
+\long\def\@makecaption#1#2{%
+  \vskip\abovecaptionskip
+  \vbox{%
+   \flushing
+   \small\rmfamily
+   \noindent
+   #1\nobreak\hskip.5em plus.2em\ignorespaces#2\par
+  }%
+  \vskip\belowcaptionskip
+}%
+\appdef\class@documenthook{%
+ \@ifxundefined\@bibstyle{%
+  \def\@bibstyle{apsrmp}%
+ }{}%
+}%
+ \bibpunct{(}{)}{;}{a}{,}{,}%
+ \let\cite\citep
+\def\bibsection{%
+ \let\@hangfroms@section\@hang@froms
+ \section*{\refname}%
+ \@nobreaktrue
+}%
+\let\bibpreamble\@empty
+\def\newblock{\ }%
+\bibhang10\p@
+\bibsep\z@
+\@ifxundefined\footinbib@sw{}{%
+ \footinbib@sw{%
+  \class@warn{%
+   Footnotes in bibliography are incompatible with RMP.^^J%
+   Undoing the footinbib option.
+  }%
+ }{}%
+}%
+\@booleanfalse\footinbib@sw
+\def\eprint#1{eprint #1}%
+\def\toc@@font{%
+ \footnotesize\rmfamily
+ \def\\{\space\ignorespaces}%
+}%
+\def\@dotsep{5.5pt}%
+\def\tocleft@{\z@}%
+\def\tocdim@min{5\p@}%
+\def\l@section{%
+ \l@@sections{}{section}% Implicit #3#4
+}%
+\def\l@subsection{%
+ \l@@sections{section}{subsection}% Implicit #3#4
+}%
+\def\l@subsubsection{%
+ \l@@sections{subsection}{subsubsection}% Implicit #3#4
+}%
+\def\l@paragraph#1#2{}%
+\def\l@subparagraph#1#2{}%
+\let\toc@pre\toc@pre@auto
+\let\toc@post\toc@post@auto
+\endinput
+%%
+%% End of file `rmp.rtx'.