%% The LaTeX package tcolorbox - version 2.31 (2013/06/18)
%% tcolorbox.sty: Text color boxes
%%
%% -------------------------------------------------------------------------------------------
%% Copyright (c) 2006-2013 by Prof. Dr. Dr. Thomas F. Sturm <thomas dot sturm at unibw dot de>
%% -------------------------------------------------------------------------------------------
%%
%% This work may be distributed and/or modified under the
%% conditions of the LaTeX Project Public License, either version 1.3
%% of this license or (at your option) any later version.
%% The latest version of this license is in
%%   http://www.latex-project.org/lppl.txt
%% and version 1.3 or later is part of all distributions of LaTeX
%% version 2005/12/01 or later.
%%
%% This work has the LPPL maintenance status `author-maintained'.
%%
%% This work consists of all files listed in README
%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{tcolorbox}[2013/06/18 version 2.31 text color boxes]
\def\tcb@version{2.31}

\RequirePackage{pgf}[2008/01/15]
\RequirePackage{verbatim}[2003/08/22]
\RequirePackage{environ}[2013/04/01]

% register
\newif\iftcb@lowerignored
\newif\iftcb@lowervisible
\newif\iftcb@hasTitle
\newif\iftcb@hasLower
\newif\iftcb@lowerspace
\newif\iftcb@sidebyside

\newbox\tcb@titlebox
\newbox\tcb@upperbox
\newbox\tcb@lowerbox

\newcounter{tcbbreakpart}

% key management
\pgfkeys{/tcb/.is family}

\def\tcbset{\pgfqkeys{/tcb}}

\def\tcb@dim@to#1#2{\def#1{\the\dimexpr#2\relax}}
\def\tcbdimto#1#2{\edef#1{\the\dimexpr#2\relax}}

\def\tcb@zpt{0pt}

\def\tcb@comp@arc@auto{%
  \let\tcb@outer@arc=\kvtcb@top@rule@stand%
  \ifdim\kvtcb@bottom@rule@stand<\tcb@outer@arc\relax%
    \let\tcb@outer@arc=\kvtcb@bottom@rule@stand\fi%
  \ifdim\kvtcb@left@rule<\tcb@outer@arc\relax%
    \let\tcb@outer@arc=\kvtcb@left@rule\fi%
  \ifdim\kvtcb@right@rule<\tcb@outer@arc\relax%
    \let\tcb@outer@arc=\kvtcb@right@rule\fi%
  \tcbdimto\tcb@outer@arc{\tcb@outer@arc+\kvtcb@arc}%
}

\def\tcb@comp@arc@fix{%
  \let\tcb@outer@arc=\kvtcb@outerarc%
}

\def\tcb@use@auto@parskip{%
  \tcbset{autoparskip}%
}

\def\tcb@hack@currenvir{\edef\tcb@temp{\noexpand\def\noexpand\@currenvir{\kvtcb@savedelimiter}}\tcb@temp}

\def\tcb@sbs@quota@leftwidth{%
  \tcbdimto\tcb@w@upper{\kvtcb@sbs@ratio}%
  \tcbdimto\tcb@w@lower{\tcb@w@sbs-\tcb@w@upper}%
}

\def\tcb@sbs@quota@rightwidth{%
  \tcbdimto\tcb@w@lower{\kvtcb@sbs@ratio}%
  \tcbdimto\tcb@w@upper{\tcb@w@sbs-\tcb@w@lower}%
}

\def\tcb@sbs@quota@leftratio{%
  \tcbdimto\tcb@w@upper{\kvtcb@sbs@ratio\dimexpr\tcb@w@sbs}%
  \tcbdimto\tcb@w@lower{\tcb@w@sbs-\tcb@w@upper}%
}

\def\tcb@sbs@quota@rightratio{%
  \tcbdimto\tcb@w@lower{\kvtcb@sbs@ratio\dimexpr\tcb@w@sbs}%
  \tcbdimto\tcb@w@upper{\tcb@w@sbs-\tcb@w@lower}%
}

\pgfkeys{/handlers/.dimstore in/.code=\pgfkeysalso{\pgfkeyscurrentpath/.code=\def#1{\the\dimexpr##1\relax}}}

\tcbset{%
  title/.store in=\kvtcb@title,
  notitle/.style={title=},
  adjust text/.store in=\kvtcb@adjusttext,
  adjusted title/.style={title={#1\vphantom{\kvtcb@adjusttext}}},
  width/.dimstore in=\kvtcb@width,
  boxsep/.store in=\kvtcb@boxsep,
  toprule/.code={%
    \def\kvtcb@top@rule@stand{#1}%
    \let\kvtcb@top@rule@break=\kvtcb@top@rule@stand%
    },
  bottomrule/.code={%
    \def\kvtcb@bottom@rule@stand{#1}%
    \let\kvtcb@bottom@rule@break=\kvtcb@bottom@rule@stand%
    },
  leftrule/.store in=\kvtcb@left@rule,
  rightrule/.store in=\kvtcb@right@rule,
  titlerule/.store in=\kvtcb@title@rule,
  boxrule/.code={
    \def\kvtcb@top@rule@stand{#1}%
    \let\kvtcb@top@rule@break=\kvtcb@top@rule@stand%
    \let\kvtcb@bottom@rule@stand=\kvtcb@top@rule@stand%
    \let\kvtcb@bottom@rule@break=\kvtcb@top@rule@stand%
    \let\kvtcb@left@rule=\kvtcb@top@rule@stand%
    \let\kvtcb@right@rule=\kvtcb@top@rule@stand%
    \let\kvtcb@title@rule=\kvtcb@top@rule@stand%
    },
  arc/.store in=\kvtcb@arc,
  outer arc/.code={\def\kvtcb@outerarc{#1}\let\tcb@comp@arc=\tcb@comp@arc@fix},
  auto outer arc/.code={\let\tcb@comp@arc=\tcb@comp@arc@auto},
  lefttitle/.store in=\kvtcb@lefttitle,
  leftupper/.store in=\kvtcb@leftupper,
  leftlower/.store in=\kvtcb@leftlower,
  left/.style={lefttitle=#1,leftupper=#1,leftlower=#1},
  righttitle/.store in=\kvtcb@righttitle,
  rightupper/.store in=\kvtcb@rightupper,
  rightlower/.store in=\kvtcb@rightlower,
  right/.style={righttitle=#1,rightupper=#1,rightlower=#1},
  top/.store in=\kvtcb@top,
  toptitle/.store in=\kvtcb@toptitle,
  bottom/.store in=\kvtcb@bottom,
  bottomtitle/.store in=\kvtcb@bottomtitle,
  middle/.store in=\kvtcb@middle,
  colback/.store in=\kvtcb@colback,
  colframe/.store in=\kvtcb@colframe,
  colupper/.store in=\kvtcb@colupper,
  collower/.store in=\kvtcb@collower,
  coltext/.style={colupper=#1,collower=#1},
  coltitle/.store in=\kvtcb@coltitle,
  fonttitle/.store in=\kvtcb@fonttitle,
  fontupper/.store in=\kvtcb@fontupper,
  fontlower/.store in=\kvtcb@fontlower,
  tempfile/.store in=\kvtcb@tempfile,
  savelowerto/.store in=\kvtcb@savelowerto,
  savedelimiter/.estore in=\kvtcb@savedelimiter,
  floatplacement/.store in=\kvtcb@floatplacement,
  float/.store in=\kvtcb@float,
  float/.default=\kvtcb@floatplacement,
  nofloat/.style={float=},
  before/.code={\def\kvtcb@beforebox{#1}\let\tcb@use@autoparskip=\relax},
  after/.code={\def\kvtcb@afterbox{#1}\let\tcb@use@autoparskip=\relax},
  autoparskip/.code={\let\tcb@use@autoparskip=\tcb@use@auto@parskip},
  parskip/.style={before={\par\pagebreak[0]\noindent},after={\par}},
  noparskip/.style={before={\par\smallskip\pagebreak[0]\noindent},after={\par\smallskip}},
  nobeforeafter/.style={before=,after=},
  lowerbox/.is choice,
  lowerbox/visible/.code={\tcb@lowerignoredfalse\tcb@lowervisibletrue},
  lowerbox/invisible/.code={\tcb@lowerignoredfalse\tcb@lowervisiblefalse},
  lowerbox/ignored/.code={\tcb@lowerignoredtrue\tcb@lowervisiblefalse},
  natural height/.code={\let\tcb@ch=\tcb@ch@natural},
  height/.code={\tcb@dim@to\tcb@height@fixed{#1}\let\tcb@ch=\tcb@ch@fixed},
  equal height group/.code={\edef\tcb@ehgid{#1}\let\tcb@ch=\tcb@ch@equalheight},
  minimum for equal height group/.code args={#1:#2}{\edef\tcb@ehgid{#1}\tcb@ehgadd{#2}},
  space/.code={\def\tcb@height@fraction{#1}\let\tcb@ch@fixed@both=\tcb@ch@fixed@space},
  space to upper/.style={space=1},
  space to lower/.style={space=0},
  space to both/.style={space=0.5},
  split/.code={\def\tcb@height@fraction{#1}\let\tcb@ch@fixed@both=\tcb@ch@fixed@split},
  valign/.store in=\kvtcb@valign,
  valign lower/.store in=\kvtcb@valignlower,
  enlarge top by/.code={%
    \def\kvtcb@bbtop@stand{#1}%
    \let\kvtcb@bbtop@break=\kvtcb@bbtop@stand%
    },
  enlarge bottom by/.code={%
    \def\kvtcb@bbbottom@stand{#1}%
    \let\kvtcb@bbbottom@break=\kvtcb@bbbottom@stand%
    },
  enlarge left by/.store in=\kvtcb@bbleft,
  enlarge right by/.store in=\kvtcb@bbright,
  toggle enlargement/.store in=\kvtcb@bbtoggle,
  graphical environment/.store in=\kvtcb@graphenv,
  frame engine/.store in=\kvtcb@engine@frame,
  interior titled engine/.store in=\kvtcb@engine@interiortitled,
  interior engine/.store in=\kvtcb@engine@interior,
  segmentation engine/.store in=\kvtcb@engine@segmentation,
  title engine/.store in=\kvtcb@engine@title,
  geometry nodes/.store in=\kvtcv@geonodes,
  geometry nodes/.default=true,%
  set@extensions@preframe/.store in=\tcb@extensions@preframe,%
  set@extensions@postframe/.store in=\tcb@extensions@postframe,%
  skin first/.store in=\kvtcb@skin@first,
  skin middle/.store in=\kvtcb@skin@middle,
  skin last/.store in=\kvtcb@skin@last,
  skin@standard/.style={frame engine=standard,interior titled engine=standard,
    interior engine=standard,segmentation engine=standard,title engine=standard,
    graphical environment=pgfpicture,
    geometry nodes=false,
    set@extensions@preframe=,%
    set@extensions@postframe={\tcb@apply@overlay},%
    skin first=standard,skin middle=standard,skin last=standard},
  skin/.style={skin@#1},
  parbox/.store in=\kvtcv@parbox,
  parbox/.default=true,%
  overlay unbroken/.code={\def\tcb@overlay@unbroken{#1}},%
  overlay first/.code={\def\tcb@overlay@first{#1}},%
  overlay middle/.code={\def\tcb@overlay@middle{#1}},%
  overlay last/.code={\def\tcb@overlay@last{#1}},%
  overlay/.code={\def\tcb@overlay@temp{#1}%
    \let\tcb@overlay@unbroken=\tcb@overlay@temp%
    \let\tcb@overlay@first=\tcb@overlay@temp%
    \let\tcb@overlay@middle=\tcb@overlay@temp%
    \let\tcb@overlay@last=\tcb@overlay@temp},%
  overlay broken/.code={\def\tcb@overlay@temp{#1}%
    \let\tcb@overlay@first=\tcb@overlay@temp%
    \let\tcb@overlay@middle=\tcb@overlay@temp%
    \let\tcb@overlay@last=\tcb@overlay@temp},%
  overlay unbroken and first/.code={\def\tcb@overlay@temp{#1}%
    \let\tcb@overlay@unbroken=\tcb@overlay@temp%
    \let\tcb@overlay@first=\tcb@overlay@temp},%
  overlay middle and last/.code={\def\tcb@overlay@temp{#1}%
    \let\tcb@overlay@middle=\tcb@overlay@temp%
    \let\tcb@overlay@last=\tcb@overlay@temp},%
  no overlay/.style={overlay=},%
  standard/.style={skin=standard},%
  before title/.store in=\kvtcb@before@title,%
  after title/.store in=\kvtcb@after@title,%
  before upper/.store in=\kvtcb@before@upper,%
  after upper/.store in=\kvtcb@after@upper,%
  before lower/.store in=\kvtcb@before@lower,%
  after lower/.store in=\kvtcb@after@lower,%
  center title/.style={before title=\centering},%
  center upper/.style={before upper=\centering},%
  center lower/.style={before lower=\centering},%
  flushleft title/.style={before title=\raggedright},%
  flushleft upper/.style={before upper=\raggedright},%
  flushleft lower/.style={before lower=\raggedright},%
  flushright title/.style={before title=\raggedleft},%
  flushright upper/.style={before upper=\raggedleft},%
  flushright lower/.style={before lower=\raggedleft},%
  tabularx*/.style 2 args={%
    boxsep=0pt,top=0pt,bottom=0pt,leftupper=0pt,rightupper=0pt,
    toptitle=1mm,bottomtitle=1mm,boxrule=0.5mm,
    before upper={\arrayrulecolor{\kvtcb@colframe}\def\arraystretch{1.1}#1%
      \tcb@hack@currenvir\tabularx{\linewidth}{#2}},
    after upper=\endtabularx},
  tabularx/.style={tabularx*={}{#1}},
  tikz upper/.style={before upper=\centering\tikzpicture[#1],after upper=\endtikzpicture},%
  tikz lower/.style={before lower=\centering\tikzpicture[#1],after lower=\endtikzpicture},%
  oversize/.style={%
    width=\the\dimexpr\dimexpr\linewidth\relax+\kvtcb@left@rule+\kvtcb@leftupper+\kvtcb@boxsep*2+\kvtcb@rightupper+\kvtcb@right@rule\relax,%
    enlarge left by=\the\dimexpr-\kvtcb@left@rule-\kvtcb@leftupper-\kvtcb@boxsep\relax,%
    enlarge right by=\the\dimexpr-\kvtcb@boxsep-\kvtcb@rightupper-\kvtcb@right@rule\relax},%
  baseline/.store in=\kvtcb@baseline,%
  tcbox raise/.style={baseline=-#1},%
  tcbox raise base/.style={baseline=\tcb@val@raisebase},%
  shrink tight/.style={boxsep=0mm,top=-\kvtcb@top@rule@stand,bottom=-\kvtcb@bottom@rule@stand,left=-\kvtcb@left@rule,right=-\kvtcb@right@rule},%
  extrude left by/.code={\tcbdimto\kvtcb@leftupper{\kvtcb@leftupper+#1}\tcbdimto\kvtcb@bbleft{\kvtcb@bbleft-#1}},%
  extrude right by/.code={\tcbdimto\kvtcb@rightupper{\kvtcb@rightupper+#1}\tcbdimto\kvtcb@bbright{\kvtcb@bbright-#1}},%
  extrude top by/.code={\tcbdimto\kvtcb@top{\kvtcb@top+#1}\tcbdimto\kvtcb@bbtop@stand{\kvtcb@bbtop@stand-#1}},%
  extrude bottom by/.code={\tcbdimto\kvtcb@bottom{\kvtcb@bottom+#1}\tcbdimto\kvtcb@bbbottom@stand{\kvtcb@bbbottom@stand-#1}},%
  extrude by/.style={extrude left by=#1,extrude right by=#1,extrude top by=#1,extrude bottom by=#1},%
  sidebyside/.is if=tcb@sidebyside,%
  sidebyside align/.store in=\kvtcb@sbs@align,%
  sidebyside gap/.store in=\kvtcb@sbs@gap,%
  lefthand width/.code={\def\kvtcb@sbs@ratio{#1}\let\tcb@sbs@quota=\tcb@sbs@quota@leftwidth},
  righthand width/.code={\def\kvtcb@sbs@ratio{#1}\let\tcb@sbs@quota=\tcb@sbs@quota@rightwidth},
  lefthand ratio/.code={\def\kvtcb@sbs@ratio{#1}\let\tcb@sbs@quota=\tcb@sbs@quota@leftratio},
  righthand ratio/.code={\def\kvtcb@sbs@ratio{#1}\let\tcb@sbs@quota=\tcb@sbs@quota@rightratio},
  breakable@false/.code={%
    \let\tcb@savebox=\tcb@lrbox%
    \let\endtcb@savebox=\endtcb@lrbox%
    \let\tcb@drawcolorbox=\tcb@drawcolorbox@standalone},
  code/.code={#1},
  capture/.store in=\kvtcb@capture,%
  hbox/.style={capture=hbox},%
  minipage/.style={capture=minipage},%
  }

\tcbset{notitle,width=\linewidth,boxsep=1mm,boxrule=0.5mm,adjust text={\"Apgjy},
  left=4mm,right=4mm,top=2mm,bottom=2mm,middle=2mm,arc=1mm,lowerbox=visible,
  colback=black!5!white,colframe=black!75!white,coltext=black,coltitle=white,
  fonttitle=,fontupper=,fontlower=,floatplacement=htb,nofloat,savelowerto=,
  savedelimiter={tcolorbox},tempfile={\jobname.tcbtemp},autoparskip,
  enlarge top by=0mm,enlarge bottom by=0mm,enlarge left by=0mm,enlarge right by=0mm,
  toggle enlargement=none,toptitle=0mm,bottomtitle=0mm,
  standard,parbox,overlay=,auto outer arc,
  before title=,after title=,before upper=,after upper=,before lower=,after lower=,
  baseline=0pt,sidebyside=false,sidebyside align=center,sidebyside gap=10mm,
  lefthand ratio=0.5,capture=minipage,
  set@extensions@preframe=,set@extensions@postframe=,%
}%

\let\tcb@parboxrestore=\@parboxrestore

\def\tcb@parbox@use@false{%
  \def\@parboxrestore{\leavevmode\let\@parboxrestore=\tcb@parboxrestore}%
}

\let\tcb@parbox@use@true\relax%

\def\tcb@minipage@top{\minipage[t]}
\let\tcb@minipage@center=\minipage
\def\tcb@minipage@bottom{\minipage[b]}
\let\tcb@minipage=\tcb@minipage@center

% lrbox with integrated minipage
\def\tcb@lrbox#1#2{%
  \edef\reserved@a{%
    \endgroup
    \setbox#1\hbox{%
      \begingroup\aftergroup}%
    \def\noexpand\@currenvir{\@currenvir}%
    \def\noexpand\@currenvline{\on@line}}%
  \reserved@a
    \@endpefalse
    \begingroup%
    \csname tcb@parbox@use@\kvtcv@parbox\endcsname%
    \ignorespaces\tcb@minipage#2\ignorespaces}
\def\endtcb@lrbox{\unskip\endminipage\unskip\endgroup}

\let\tcb@savebox=\tcb@lrbox
\let\endtcb@savebox=\endtcb@lrbox

\def\tcb@saveupperbox{%
\begin{tcb@savebox}{\tcb@upperbox}{\tcb@w@upper}\color{\kvtcb@colupper}\kvtcb@fontupper\kvtcb@before@upper\ignorespaces}

\def\tcb@savelowerbox{%
\begin{tcb@savebox}{\tcb@lowerbox}{\tcb@w@lower}\color{\kvtcb@collower}\kvtcb@fontlower\kvtcb@before@lower\ignorespaces}


% counter for float
\AtBeginDocument{%
\@ifundefined{c@float@type}%
    {\edef\ftype@tcbfloat{\ifx\c@figure\@undefined 1\else 4\fi}}%
    {\edef\ftype@tcbfloat{\the\c@float@type}%
     \addtocounter{float@type}{\value{float@type}}}%
\def\c@tcbfloat{\c@float@type}% tricking the caption package
\ifdim\parskip>0pt%
  \tcbset{autoparskip/.style=parskip}%
\else%
  \tcbset{autoparskip/.style=noparskip}%
\fi%
\tcb@use@autoparskip%
}

\long\def\tcb@colorbox{%
  \@ifnextchar[{\tcb@@icolorbox}{\tcb@@icolorbox[]}}

\def\tcb@set@@dim@and@title{%
  % computation of text width
  \tcbdimto\tcb@width{\kvtcb@width}%
  \tcbdimto\tcb@innerwidth{\tcb@width-\kvtcb@left@rule-\kvtcb@right@rule}%
  \tcbdimto\tcb@temp{\tcb@innerwidth-\kvtcb@boxsep*2}%
  \tcbdimto\tcb@w@upper{\tcb@temp-\kvtcb@leftupper-\kvtcb@rightupper}%
  \ifx\kvtcb@title\@empty\tcb@hasTitlefalse\else%
    \tcb@hasTitletrue%
    \tcbdimto\tcb@w@title{\tcb@temp-\kvtcb@lefttitle-\kvtcb@righttitle}%
    \begin{tcb@savebox}{\tcb@titlebox}{\tcb@w@title}\color{\kvtcb@coltitle}\kvtcb@fonttitle\kvtcb@before@title\kvtcb@title\kvtcb@after@title\end{tcb@savebox}%
  \fi%
}

\def\tcb@set@@sidebyside{%
  \iftcb@sidebyside%
    \tcbset{breakable@false}%
    \def\tcb@minipage{\csname tcb@minipage@\kvtcb@sbs@align\endcsname}%
    \tcbdimto\tcb@w@upper@real{\tcb@w@upper}%
    \tcbdimto\tcb@w@sbs{\tcb@w@upper@real-\kvtcb@sbs@gap}%
    \tcb@sbs@quota%
  \fi%
}

\def\tcb@set@@upper@and@lower{%
  \let\tcb@after@box=\kvtcb@after@upper%
  % switch for lower box
  \def\tcblower{%
    \unskip\tcb@after@box%
    \end{tcb@savebox}%
    \unless\iftcb@sidebyside%
      \tcbdimto\tcb@w@lower{\tcb@temp-\kvtcb@leftlower-\kvtcb@rightlower}%
    \fi%
    \tcb@hasLowertrue%
    \let\tcb@after@box=\kvtcb@after@lower%
    \ifx\kvtcb@savelowerto\@empty%
      \let\tcb@startbox\tcb@savelowerbox%
      \let\endtcolorbox\tcb@endboxanddraw%
    \else%
      \IfFileExists{\kvtcb@savelowerto}{%
        \tcb@savelowerbox\input{\kvtcb@savelowerto}\end{tcb@savebox}}{}%
      \let\tcb@startbox\tcb@lowerverbatim%
      \expandafter\let\csname end\kvtcb@savedelimiter\expandafter\endcsname\csname tcb@endlowerverbatimanddraw\endcsname%
    \fi%
    \tcb@startbox}%
  % start of upper box
  \let\endtcolorbox\tcb@endboxanddraw%
  \tcb@saveupperbox%
}


\def\tcb@@capture@minipage{%
  \let\tcb@val@raisebase=\tcb@zpt%
  \tcb@set@@dim@and@title%
  \tcb@set@@sidebyside%
  \tcb@set@@upper@and@lower%
}

\def\tcb@@capture@hbox{%
  \let\endtcolorbox=\relax%
  \Collect@Body\tcbox@inner@hbox%
}

\long\def\tcb@@icolorbox[#1]{%
  \tcbset{capture=minipage,#1}%
  \tcb@hasLowerfalse%
  \csname tcb@@capture@\kvtcb@capture\endcsname%
}

\let\tcolorbox\tcb@colorbox

\def\tcb@endboxanddraw{%
  \unskip\tcb@after@box%
  \end{tcb@savebox}%
  \tcb@draw@color@box%
  \color{.}% hack for some special cases
}

\let\endtcolorbox=\tcb@endboxanddraw

% height computations
\def\tcb@ch@natural{%
  \edef\tcb@height{\tcb@natheight}%
  \tcbdimto\tcb@height@upper{\ht\tcb@upperbox+\dp\tcb@upperbox}%
  \iftcb@lowerspace%
  \tcbdimto\tcb@height@lower{\ht\tcb@lowerbox+\dp\tcb@lowerbox}%
  \fi%
}

\def\tcb@ch@fixed@upper{%
  \tcbdimto\tcb@height@upper{\ht\tcb@upperbox+\dp\tcb@upperbox+\tcb@height-\tcb@natheight}%
}

\def\tcb@ch@fixed@space{%
  \tcbdimto\tcb@height@space{\tcb@height-\tcb@natheight}%
  \tcbdimto\tcb@height@spaceupper{\tcb@height@fraction\dimexpr\tcb@height@space\relax}%
  \tcbdimto\tcb@height@upper{\ht\tcb@upperbox+\dp\tcb@upperbox+\tcb@height@spaceupper}%
  \tcbdimto\tcb@height@lower{\ht\tcb@lowerbox+\dp\tcb@lowerbox+\tcb@height@space-\tcb@height@spaceupper}%
}

\def\tcb@ch@fixed@split{%
  \tcbdimto\tcb@height@space{\tcb@height-\tcb@natheight+\ht\tcb@upperbox+\dp\tcb@upperbox+\ht\tcb@lowerbox+\dp\tcb@lowerbox}%
  \tcbdimto\tcb@height@upper{\tcb@height@fraction\dimexpr\tcb@height@space\relax}%
  \tcbdimto\tcb@height@lower{\tcb@height@space-\tcb@height@upper}%
}

\def\tcb@ch@fixed{%
  \edef\tcb@height{\tcb@height@fixed}%
  \iftcb@lowerspace\tcb@ch@fixed@both\else\tcb@ch@fixed@upper\fi%
}

\def\tcb@saveehg#1{%
  \immediate\write\@auxout{\string\gdef\string\tcb@ehg@#1@height{\csname tcb@ehg@#1@current\endcsname}}%
}

\def\tcb@ehgadd#1{%
  \@ifundefined{tcb@ehg@\tcb@ehgid @current}{%
    \expandafter\xdef\csname tcb@ehg@\tcb@ehgid @current\endcsname{#1}%
    \edef\tcb@temp{\noexpand\AtEndDocument{\noexpand\tcb@saveehg{\tcb@ehgid}}}%
    \tcb@temp}{%
    \ifdim\csname tcb@ehg@\tcb@ehgid @current\endcsname<#1%
    \expandafter\xdef\csname tcb@ehg@\tcb@ehgid @current\endcsname{#1}\fi}%
}

\def\tcb@ch@equalheight{%
  \tcb@ehgadd{\tcb@natheight}%
  \@ifundefined{tcb@ehg@\tcb@ehgid @height}{%
    \edef\tcb@height{\tcb@natheight}}{%
    \ifdim\csname tcb@ehg@\tcb@ehgid @height\endcsname<\tcb@natheight%
    \edef\tcb@height{\tcb@natheight}%
    \else
    \edef\tcb@height{\csname tcb@ehg@\tcb@ehgid @height\endcsname}%
    \fi}%
  \iftcb@lowerspace\tcb@ch@fixed@both\else\tcb@ch@fixed@upper\fi%
}

\def\tcb@dbox@top#1#2#3#4{\pgftext[x=#1,y=#2+#3,left,top]{\box#4}}%

\def\tcb@dbox@bottom#1#2#3#4{\pgftext[x=#1,y=#2,left,bottom]{\box#4}}%

\def\tcb@dbox@center#1#2#3#4{\pgftext[x=#1,y=#2+#3/2,left]{\box#4}}%

\tcbset{natural height,space to lower,valign=top,valign lower=top}

% fill frame
\def\tcb@drawframe@standard{%
  \begin{pgfscope}%
  \pgfsetcornersarced{\pgfpoint{\tcb@outer@arc}{\tcb@outer@arc}}%
  \pgfsetfillcolor{\kvtcb@colframe}%
  \pgfpathrectangle{\pgfpoint{0mm}{0mm}}{\pgfpoint{\tcb@width}{\tcb@height}}%
  \pgfusepath{fill}%
  \end{pgfscope}%
}

% fill inner box with title
\def\tcb@drawwithtitle@standard{%
  \begin{pgfscope}%
  \pgfsetcornersarced{\pgfpoint{0mm}{0mm}}%
  \pgfmoveto{\pgfpoint{\kvtcb@left@rule}{\kvtcb@bottom@rule}}%
  \pgflineto{\pgfpoint{\kvtcb@left@rule}{\the\dimexpr\kvtcb@bottom@rule+\tcb@innerheight\relax}}%
  \pgflineto{\pgfpoint{\the\dimexpr\tcb@width-\kvtcb@right@rule\relax}{\the\dimexpr\kvtcb@bottom@rule+\tcb@innerheight\relax}}%
  \pgfsetcornersarced{\pgfpoint{\kvtcb@arc}{\kvtcb@arc}}%
  \pgflineto{\pgfpoint{\the\dimexpr\tcb@width-\kvtcb@right@rule\relax}{\kvtcb@bottom@rule}}%
  \pgflineto{\pgfpoint{\kvtcb@left@rule}{\kvtcb@bottom@rule}}%
  \pgfpathclose%
  \pgfsetfillcolor{\kvtcb@colback}%
  \pgfusepath{fill}%
  \end{pgfscope}%
}

% fill inner box without title
\def\tcb@drawwithouttitle@standard{%
  \begin{pgfscope}%
  \pgfsetcornersarced{\pgfpoint{\kvtcb@arc}{\kvtcb@arc}}%
  \pgfsetfillcolor{\kvtcb@colback}%
  \pgfpathrectangle{\pgfpoint{\kvtcb@left@rule}{\kvtcb@bottom@rule}}%
    {\pgfpoint{\the\dimexpr\tcb@width-\kvtcb@left@rule-\kvtcb@right@rule\relax}{\tcb@innerheight}}%
  \pgfusepath{fill}%
  \end{pgfscope}%
}

% draw segmentation line
\def\tcb@drawlower@standard{%
  \begin{pgfscope}%
  \pgfsetcolor{\kvtcb@colframe}%
  \pgfsetdash{{1mm}{1mm}}{0.5mm}%
  \iftcb@sidebyside%
  \tcbdimto\tcb@seg@pos{\kvtcb@left@rule+\kvtcb@boxsep+\kvtcb@leftupper+\tcb@w@upper+\kvtcb@sbs@gap/2}%
  \pgfpathmoveto{\pgfpoint{\tcb@seg@pos}{\the\dimexpr\kvtcb@bottom@rule+\tcb@innerheight\relax}}%
  \pgfpathlineto{\pgfpoint{\tcb@seg@pos}{\kvtcb@bottom@rule}}%
  \else%
  \tcbdimto\tcb@seg@pos{\kvtcb@bottom@rule+\kvtcb@boxsep*2+\tcb@break@bottomsep+\kvtcb@middle+\kvtcb@bottom+\tcb@height@lower}%
  \pgfpathmoveto{\pgfpoint{\kvtcb@left@rule}{\tcb@seg@pos}}%
  \pgfpathlineto{\pgfpoint{\the\dimexpr\tcb@width-\kvtcb@right@rule\relax}{\tcb@seg@pos}}%
  \fi%
  \pgfusepath{stroke}%
  \end{pgfscope}%
}

% draw title box
\def\tcb@drawtitle@standard{%
}

\def\tcb@setbb@toggle@none{%
  \pgfpathrectanglecorners{\pgfpoint{\the\dimexpr0pt-\kvtcb@bbleft\relax}{\the\dimexpr0pt-\kvtcb@bbbottom\relax}}%
     {\pgfpoint{\the\dimexpr\tcb@width+\kvtcb@bbright\relax}{\the\dimexpr\tcb@height+\kvtcb@bbtop\relax}}%
}

\def\tcb@setbb@toggle@forced{%
  \pgfpathrectanglecorners{\pgfpoint{\the\dimexpr0pt-\kvtcb@bbright\relax}{\the\dimexpr0pt-\kvtcb@bbbottom\relax}}%
    {\pgfpoint{\the\dimexpr\tcb@width+\kvtcb@bbleft\relax}{\the\dimexpr\tcb@height+\kvtcb@bbtop\relax}}%
}

\def\tcb@setbb@toggle@evenpage{%
  \ifodd\thepage\tcb@setbb@toggle@none\else\tcb@setbb@toggle@forced\fi%
}

\def\tcb@creategeonodes@false{}

\def\tcb@bbdraw{%
  \csname tcb@setbb@toggle@\kvtcb@bbtoggle\endcsname%
  \pgfusepath{use as bounding box}%
  \csname tcb@creategeonodes@\kvtcv@geonodes\endcsname%
}

\def\tcb@tdraw@title{%
  \iftcb@hasTitle%
    \pgftext[x=\the\dimexpr\kvtcb@left@rule+\kvtcb@boxsep+\kvtcb@lefttitle\relax,
             y=\the\dimexpr\tcb@height-\kvtcb@top@rule-\kvtcb@boxsep-\kvtcb@toptitle\relax,
             left,top]{\usebox{\tcb@titlebox}}%
  \fi%
}

\def\tcb@tdraw@upper{%
  \csname tcb@dbox@\kvtcb@valign\endcsname{\the\dimexpr\kvtcb@left@rule+\kvtcb@boxsep+\kvtcb@leftupper\relax}%
          {\the\dimexpr\tcb@innerheight+\kvtcb@bottom@rule-\kvtcb@boxsep-\tcb@break@topsep-\kvtcb@top-\tcb@height@upper\relax}%
          {\tcb@height@upper}{\tcb@upperbox}%
}

\def\tcb@tdraw@lower{%
  \iftcb@lowervisible%
    \csname tcb@dbox@\kvtcb@valignlower\endcsname{\the\dimexpr\kvtcb@left@rule+\kvtcb@boxsep+\kvtcb@leftlower\relax}%
            {\the\dimexpr\kvtcb@bottom@rule+\kvtcb@boxsep+\tcb@break@bottomsep+\kvtcb@bottom\relax}%
            {\tcb@height@lower}{\tcb@lowerbox}%
  \fi%
}

\def\tcb@sbs@mix{%
  \begin{tcb@savebox}{\tcb@upperbox}{\tcb@w@upper@real}
    \noindent\unhbox\tcb@upperbox\hfill%
    \iftcb@hasLower%
      \iftcb@lowervisible\unhbox\tcb@lowerbox%
      \else%
        \iftcb@lowerignored\else\rule[-\dp\tcb@lowerbox]{0pt}{\the\dimexpr\ht\tcb@lowerbox+\dp\tcb@lowerbox\relax}\fi%
      \fi%
    \fi%
  \end{tcb@savebox}%
  \tcb@hasLowerfalse%
}

\def\tcb@draw@color@box{%
  \iftcb@sidebyside\tcb@sbs@mix\fi%
  \tcb@comp@arc%
  \iftcb@hasTitle%
    \tcbdimto\tcb@h@title{\ht\tcb@titlebox+\dp\tcb@titlebox}%
    \tcbdimto\tcb@h@padtitle{\kvtcb@title@rule+\kvtcb@boxsep*2+\kvtcb@toptitle+\kvtcb@bottomtitle+\tcb@h@title}%
  \else%
    \let\tcb@h@title=\tcb@zpt%
    \let\tcb@h@padtitle=\tcb@zpt%
  \fi%
  %
  \tcbdimto\tcb@h@upper{\ht\tcb@upperbox+\dp\tcb@upperbox}%
  %
  \iftcb@hasLower%
  \iftcb@lowerignored\tcb@lowerspacefalse\else\tcb@lowerspacetrue\fi%
  \else\tcb@lowerspacefalse\fi%
  \iftcb@lowerspace%
    \tcbdimto\tcb@h@segment{\kvtcb@boxsep*2+\kvtcb@middle*2}%
    \tcbdimto\tcb@h@lower{\ht\tcb@lowerbox+\dp\tcb@lowerbox}%
  \else
    \let\tcb@h@segment=\tcb@zpt%
    \let\tcb@h@lower=\tcb@zpt%
  \fi%
  %
  \tcb@drawcolorbox%
}

\def\tcb@apply@overlay{\csname tcb@overlay@\tcb@split@state\endcsname}%

\def\tcb@drawcolorbox{%
  \edef\tcb@split@state{unbroken}%
  \let\kvtcb@top@rule=\kvtcb@top@rule@stand%
  \let\kvtcb@bottom@rule=\kvtcb@bottom@rule@stand%
  \let\kvtcb@bbtop=\kvtcb@bbtop@stand%
  \let\kvtcb@bbbottom=\kvtcb@bbbottom@stand%
  \let\tcb@break@topsep=\tcb@zpt%
  \let\tcb@break@bottomsep=\tcb@zpt%
  % floats
  \ifx\kvtcb@float\@empty%
  \newenvironment{tcb@float}{\kvtcb@beforebox}{\kvtcb@afterbox}%
  \else%
    \edef\float@start{\noexpand\@float{tcbfloat}[\kvtcb@float]}%
    \newenvironment{tcb@float}{\float@start}{\end@float}%
  \fi%
  \setcounter{tcbbreakpart}{1}%
  % computation of total height
  \tcbdimto\tcb@natheight{\tcb@h@padtitle+\kvtcb@top@rule+\kvtcb@bottom@rule+\kvtcb@boxsep*2+\kvtcb@top+\kvtcb@bottom+\tcb@h@upper}%
  \iftcb@lowerspace%
    \tcbdimto\tcb@natheight{\tcb@natheight+\tcb@h@segment+\tcb@h@lower}%
    \def\tcb@segment@state{1}%
  \else%
    \def\tcb@segment@state{0}%
  \fi%
  \tcb@ch%
  \tcbdimto\tcb@innerheight{\tcb@height-\kvtcb@top@rule-\kvtcb@bottom@rule-\tcb@h@padtitle}%
  \begin{tcb@float}\begin{\kvtcb@graphenv}%
    \tcb@bbdraw%
    \pgfsetbaseline{\the\dimexpr\kvtcb@baseline-\kvtcb@bbbottom\relax}%
    \tcb@extensions@preframe%
    % draw frame and interior
    \csname tcb@drawframe@\kvtcb@engine@frame\endcsname%
    \iftcb@hasTitle%
      \csname tcb@drawwithtitle@\kvtcb@engine@interiortitled\endcsname%
    \else%
      \csname tcb@drawwithouttitle@\kvtcb@engine@interior\endcsname%
    \fi%
    \iftcb@lowerspace%
      \csname tcb@drawlower@\kvtcb@engine@segmentation\endcsname%
    \else\iftcb@sidebyside%
      \csname tcb@drawlower@\kvtcb@engine@segmentation\endcsname%
    \fi\fi%
    \iftcb@hasTitle%
      \csname tcb@drawtitle@\kvtcb@engine@title\endcsname%
    \fi%
    \tcb@extensions@postframe%
    % draw text boxes
    \tcb@tdraw@title%
    \tcb@tdraw@upper%
    \iftcb@hasLower\tcb@tdraw@lower\fi%
  \end{\kvtcb@graphenv}\end{tcb@float}%
}

\def\tcb@draw@border#1{}

\let\tcb@drawcolorbox@standalone=\tcb@drawcolorbox

\long\def\tcbox@inner@hbox#1{%
  \tcbset{breakable@false,sidebyside=false}%
  \setbox\tcb@upperbox=\hbox{\begingroup\color{\kvtcb@colupper}\kvtcb@fontupper\kvtcb@before@upper\ignorespaces#1\unskip\kvtcb@after@upper\endgroup}%
  \tcbdimto{\tcb@temp@wd}{\wd\tcb@upperbox}%
  \tcbdimto{\tcb@val@raisebase}{\the\dimexpr\dp\tcb@upperbox+\kvtcb@bottom+\kvtcb@boxsep+\kvtcb@bottom@rule@stand+\kvtcb@bbbottom@stand\relax}%
  \tcbset{width=\the\dimexpr\tcb@temp@wd+\kvtcb@left@rule+\kvtcb@leftupper+\kvtcb@boxsep*2+\kvtcb@rightupper+\kvtcb@right@rule\relax}%
  \tcb@hasLowerfalse%
  \tcb@set@@dim@and@title%
  \tcb@draw@color@box%
}

\long\def\tcbox@inner@minipage#1{%
  \tcbset{breakable@false,sidebyside=false}%
  \let\tcb@val@raisebase=\tcb@zpt%
  \tcb@set@@dim@and@title%
  \begin{tcb@savebox}{\tcb@upperbox}{\tcb@w@upper}\color{\kvtcb@colupper}\kvtcb@fontupper\kvtcb@before@upper#1\kvtcb@after@upper\end{tcb@savebox}%
  \tcbdimto{\tcb@temp@wd}{\wd\tcb@upperbox}%
  \tcbset{width=\the\dimexpr\tcb@temp@wd+\kvtcb@left@rule+\kvtcb@leftupper+\kvtcb@boxsep*2+\kvtcb@rightupper+\kvtcb@right@rule\relax}%
  \tcb@hasLowerfalse%
  \tcb@draw@color@box%
}


\long\def\tcb@ox#1#2{%
  \begingroup%
  \tcbset{#1}%
  \csname tcbox@inner@\kvtcb@capture\endcsname{#2}%
  \endgroup%
}

\newcommand{\tcbox}[2][]{%
  \tcb@ox{capture=hbox,#1}{#2}%
}

\long\def\tcb@newtcolorbox#1#2{\newenvironment{#1}{\tcolorbox[savedelimiter=#1,#2]}{\endtcolorbox}}

\long\def\tcb@new@tcolorbox#1[#2]#3{\newenvironment{#1}[#2]{\tcolorbox[savedelimiter=#1,#3]}{\endtcolorbox}}

\long\def\tcb@new@@tcolorbox#1[#2][#3]#4{\newenvironment{#1}[#2][#3]{\tcolorbox[savedelimiter=#1,#4]}{\endtcolorbox}}

\long\def\new@tcolorbox#1[#2]{%
  \@ifnextchar[{\tcb@new@@tcolorbox{#1}[#2]}{\tcb@new@tcolorbox{#1}[#2]}}

\long\def\newtcolorbox#1{%
  \@ifnextchar[{\new@tcolorbox{#1}}{\tcb@newtcolorbox{#1}}}


\long\def\tcb@newtcbox#1#2{\newcommand{#1}{\tcbox[#2]}}

\long\def\tcb@new@tcbox#1[#2]#3{\newcommand{#1}[#2]{\tcbox[#3]}}

\long\def\tcb@new@@tcbox#1[#2][#3]#4{\newcommand{#1}[#2][#3]{\tcbox[#4]}}

\long\def\new@tcbox#1[#2]{%
  \@ifnextchar[{\tcb@new@@tcbox{#1}[#2]}{\tcb@new@tcbox{#1}[#2]}}

\long\def\newtcbox#1{%
  \@ifnextchar[{\new@tcbox{#1}}{\tcb@newtcbox{#1}}}


% verbatim output as in 'verbatim'

\newwrite\tcb@out

\def\tcbverbatimwrite#1{%
  \@bsphack
  \immediate\openout \tcb@out #1
  \let\do\@makeother\dospecials
  \catcode`\^^M\active \catcode`\^^I=12
  \def\verbatim@processline{%
    \immediate\write\tcb@out
      {\the\verbatim@line}}%
  \verbatim@start}%'


\def\endtcbverbatimwrite{%
  \immediate\closeout\tcb@out
  \@esphack%
}


% saving of the lower box

\def\tcb@endlowerverbatimanddraw{%
  \tcb@endlowerverbatim%
  \tcb@draw@color@box%
}

\def\tcb@lowerverbatim{%
  \tcbverbatimwrite\kvtcb@savelowerto}

\let\tcb@endlowerverbatim\endtcbverbatimwrite%


% saving of the upper box

\def\tcbwritetemp{%
  \begingroup%
  \tcbverbatimwrite\kvtcb@tempfile}

\def\endtcbwritetemp{%
  \endtcbverbatimwrite%
  \endgroup%
}

\def\tcbusetemp{\input{\kvtcb@tempfile}}

% expandonce from etoolbox
\newcommand{\tcb@expandonce}[1]{\unexpanded\expandafter{#1}}

% slim version of etoolbox'es more general macro
\newcommand{\tcb@appto}[2]{%
  \ifx#1\relax%
  \edef#1{\unexpanded{#2}}%
  \else%
  \edef#1{\tcb@expandonce#1\unexpanded{#2}}%
  \fi}

% slim version of etoolbox'es more general macro
\newcommand{\tcb@preto}[2]{%
  \ifx#1\relax%
  \edef#1{\unexpanded{#2}}%
  \else%
  \edef#1{\unexpanded{#2}\tcb@expandonce#1}%
  \fi}

% libraries
\def\tcb@optionlist{}

\def\tcb@set@library@version#1{%
  \def\tcb@library@version{#1}%
  \typeout{Library (tcolorbox): '\tcb@library@inload' version '\tcb@library@version'}
  \tcb@check@library@version%
}

\def\tcb@check@library@version{%
  \ifx\tcb@library@version\tcb@version\else%
  \PackageError{tcolorbox}{tcolorbox version '\tcb@version' loads library '\tcb@library@inload' with version '\tcb@library@version'}
  \fi%
}

\def\tcbuselibrary#1{\tcbset{library/.cd,#1}}
\@onlypreamble\tcbuselibrary

\providecommand{\tcbpkgprefix}{}

\def\tcb@load@library#1#2{%
  \pgfkeysifdefined{/tcb/libload/#1}{}{%
    \pgfkeyssetvalue{/tcb/libload/#1}{}%
    \def\tcb@library@inload{#2}%
    \def\tcb@library@version{-}%
    \edef\tcb@at@catcode{\the\catcode`@}%
    \catcode`\@11\relax%
    \input\tcbpkgprefix#2\relax%
    \catcode`\@\tcb@at@catcode\relax%
    \tcb@check@library@version}{}%
}

\def\tcb@add@library#1#2{%
  \tcbset{library/#1/.code={\tcb@load@library{#1}{#2}}}%
  \DeclareOption{#1}{\tcb@appto\tcb@optionlist{,#1}}%
}
\def\tcb@add@library@style#1#2{%
  \tcbset{library/#1/.style={#2}}%
  \DeclareOption{#1}{\tcb@appto\tcb@optionlist{,#1}}%
}

\tcb@add@library{listings}{tcblistings.code.tex}
\tcb@add@library{listingsutf8}{tcblistingsutf8.code.tex}
\tcb@add@library{theorems}{tcbtheorems.code.tex}
\tcb@add@library{documentation}{tcbdocumentation.code.tex}
\tcb@add@library{skins}{tcbskins.code.tex}
\tcb@add@library{breakable}{tcbbreakable.code.tex}
\tcb@add@library{hooks}{tcbhooks.code.tex}
\tcb@add@library{fitting}{tcbfitting.code.tex}

\tcb@add@library@style{most}{skins,breakable,listingsutf8,hooks,theorems,fitting}
\tcb@add@library@style{all}{most,documentation}

\ProcessOptions*
\edef\tcb@temp{\noexpand\tcbuselibrary{\tcb@optionlist}}
\tcb@temp