%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%bardposter.sty%%%%%%%%%%%
%%
%%  This is the Bard Presentation Style.
%%
%%  This style file contains macros designed for use with the widely available 
%%  seminar.sty package
%%
%%  Read the manual bardpresentation_man.tex or bardpresentation_man.pdf 
%%  for more details regarding the Bard Poster Style.
%%
%%  The Bard Poster Style file and the manual for this style file
%%  can be found at http://math.bard.edu/bloch/bardtex.htm
%%
%%  For additional help, or for suggestions or corrections
%%  contact Ethan Bloch at bloch@bard.edu
%%
%%  This style file requires some LaTeX packages, which might already 
%%  be available in your implementation of TeX, and if needed can be downloaded
%%  from http://math.bard.edu/bloch/bardtex.htm
%% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%Glitch: We need manual theorem numbering


\catcode`\^^Z 10
%
% Stuff from svsing2e.sty
% Copyright (C) 1988, 1994 Springer-Verlag, Inc.
%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%\newcommand{\fred}[2]{\newcommand{\theoremref#2}{#1}}
%\newcommand{\thmreff}[1]{\theoremref#1}

%\newcommand{\fred}[2]
%{
%\newenvironment{theoremref#2}
%{Start environment #1}
%{End of environment}
%}
%\newcommand{\thmreff}[1]{\begin{theoremref#1} \end{theoremref#1}}

 
\slideframe{}

\newpagestyle{titlepagestyle}%
 {\hfil\large\textcolor{green}{\ }\hfil}
  {\hfil \tiny \ \hfil}


\newcommand{\bottomstoof}
{
\colorbox{\bottomstripclr}{\begin{minipage}{1.0\textwidth}
% \begin{minipage}{0.75\textwidth}
 \begin{center}
\pauthor \hfill {\normalsize \ptitle} \hfill \pdate
\end{center}
\end{minipage}}
%\tiny \pauthor \hfill \pdate
}

\newcommand{\bottomstf}{\bottomstoof}
\newcommand{\bottomstripempty}{\renewcommand{\bottomstf}{}}
\newcommand{\bottomstripfull}{\renewcommand{\bottomstf}{\bottomstoof}}

\newcommand{\topempty}{}

\newcommand{\toplfpdf}[1]
{
\begin{minipage}{\textwidth}
\includegraphics%[scale=0.2]
{#1}\hfill\hfill
\end{minipage}
}
\newcommand{\topleftpdf}[1]{\renewcommand{\topstf}{\toplfpdf{#1}}}

\newcommand{\toplfpdfscale}[2]
{
\begin{minipage}{\textwidth}
\includegraphics[scale=#2]
{#1}\hfill\hfill
\end{minipage}
}
\newcommand{\topleftpdfscale}[2]{\renewcommand{\topstf}{\toplfpdfscale{#1}{#2}}}

\newcommand{\toplfpdfhw}[3]
{
\begin{minipage}{\textwidth}
\includegraphics[height=#2, width=#3]
{#1}\hfill\hfill
\end{minipage}
}
\newcommand{\topleftpdfhw}[3]{\renewcommand{\topstf}{\toplfpdfhw{#1}{#2}{#3}}}


%%%%%%%%%%%%%%

\newcommand{\backpctcenter}[1]
{
\begin{minipage}{\textwidth}
%\begin{center}
\vfill
\includegraphics%[scale=0.5]
{#1}
\vfill
%\end{center}
\end{minipage}
}
\newcommand{\backpicturecenter}[1]{\renewcommand{\topstf}{\backpctcenter{#1}}}

\newcommand{\backpctleft}[1]
{
\begin{minipage}{\textwidth}
%\begin{center}
\vfill
\includegraphics%[scale=0.5]
%{\figfile fractal3.pdf}
{#1}
\vfill
%\end{center}
\end{minipage}
}
\newcommand{\backpictureleft}[1]{\renewcommand{\topstf}{\backpctleft{#1}}}



\newcommand{\topstf}{\sidestrp}

\newcommand{\sidestrp}
{
\begin{minipage}{\textwidth}
\setlength{\fboxsep}{8pt}
\colorbox{\sidestripclr}{
%\begin{minipage}{0.005\textwidth}
\begin{minipage}{2pt}
\ \\ \vskip\textheight \  
\end{minipage}
}
\end{minipage}
}
\newcommand{\sidestripfull}{\renewcommand{\topstf}{\sidestrp}}
\newcommand{\sidestripempty}{\renewcommand{\topstf}{}}

\newcommand{\topstyle}[1]{\renewcommand{\topstf}{#1}}

\newcommand{\topstyleempty}{\renewcommand{\topstf}{}}
\newcommand{\topstylefull}[1]{\renewcommand{\topstf}{
\setlength{\fboxsep}{10pt}
\colorbox{blue}{\begin{minipage}{0.8\textwidth}
% \begin{minipage}{0.75\textwidth}
 \begin{center}
 \vfill 
%\Huge \  \\
{\typefc \Large \textcolor{\headingtextclr}{#1}}%\\
 \vfill
%\normalsize \ 
\end{center}
\end{minipage}}
%\tiny \pauthor \hfill \pdate
}}


\newpagestyle{regularstyle}%
{
\topstf
}
{
\bottomstf
}


\renewcommand{\slidetopmargin}{-0.9in}
%\renewcommand{\slidebottommargin}{1.9in}
\renewcommand{\slideleftmargin}{-0.2in}
\renewcommand{\sliderightmargin}{0.4in}
\setlength{\slideframesep}{0.2in}


\pagestyle{regularstyle}

%%%%%%%%%%

\newcommand{\titleslide}
{
\pagestyle{titlepagestyle}
\begin{slideb}
\centerslidestrue
\begin{center}
\titlesz\ptitle
\end{center}
\begin{center}
\authorsz\pauthor
\end{center}
\begin{center}
\datesz\pdate
\end{center}
\end{slideb}
\pagestyle{regularstyle}
\titlecolor{\bottomstriptitleclr}
\authorcolor{\bottomstripauthorclr}
\datecolor{\bottomstripdateclr}
}

%%%%%%%%%%%

\newcommand{\highlightclr}{Yellow}
\newcommand{\highlightcolor}[1]{\renewcommand{\highlightclr}{#1}}
\newcommand{\titleclr}{Blue}
\newcommand{\titlecolor}[1]{\renewcommand{\titleclr}{#1}}
\newcommand{\authorclr}{Blue}
\newcommand{\authorcolor}[1]{\renewcommand{\authorclr}{#1}}
\newcommand{\dateclr}{Blue}
\newcommand{\datecolor}[1]{\renewcommand{\dateclr}{#1}}
\newcommand{\headingboxclr}{blue}
\newcommand{\headingboxcolor}[1]{\renewcommand{\headingboxclr}{#1}}
\newcommand{\headingtextclr}{White}
\newcommand{\headingtextcolor}[1]{\renewcommand{\headingtextclr}{#1}}
\newcommand{\enumclr}{LimeGreen}
\newcommand{\enumcolor}[1]{\renewcommand{\enumclr}{#1}}
\newcommand{\bulletclr}{LimeGreen}
\newcommand{\bulletcolor}[1]{\renewcommand{\bulletclr}{#1}}
\newcommand{\txtclr}{Blue}
\newcommand{\txtcolor}[1]{\renewcommand{\txtclr}{#1}}
\newcommand{\itemclr}{\txtclr}
\newcommand{\itemcolor}[1]{\renewcommand{\itemclr}{#1}}
\newcommand{\eqclr}{Red}
\newcommand{\eqcolor}[1]{\renewcommand{\eqclr}{#1}}
\newcommand{\bottomstripclr}{Mulberry}
\newcommand{\bottomstripcolor}[1]{\renewcommand{\bottomstripclr}{#1}}
\newcommand{\sidestripclr}{YellowOrange}
\newcommand{\sidestripcolor}[1]{\renewcommand{\sidestripclr}{#1}}

\newcommand{\bottomstriptitleclr}{white}
\newcommand{\bottomstriptitlecolor}[1]{\renewcommand{\bottomstriptitleclr}{#1}}
\newcommand{\bottomstripauthorclr}{white}
\newcommand{\bottomstripauthorcolor}[1]{\renewcommand{\bottomstripauthorclr}{#1}}
\newcommand{\bottomstripdateclr}{white}
\newcommand{\bottomstripdatecolor}[1]{\renewcommand{\bottomstripdateclr}{#1}}


\newcommand{\titlesz}{\Huge}
\newcommand{\titlesize}[1]{\renewcommand{\titlesz}{#1}}
\newcommand{\authorsz}{\LARGE}
\newcommand{\authorsize}[1]{\renewcommand{\authorsz}{#1}}
\newcommand{\datesz}{\LARGE}
\newcommand{\datesize}[1]{\renewcommand{\datesz}{#1}}


\newcommand{\highlight}[1]{\colorbox{\highlightclr}{#1}}

\newcommand{\pauthor}{}
\newcommand{\ptitle}{}
\newcommand{\pdate}{}

%\newcommand{\titleb}[1]{\title{\color{\titleclr}#1}}
%\newcommand{\authorb}[1]{\author{\color{\authorclr}#1}}
%\newcommand{\dateb}[1]{\date{\color{\dateclr}#1}}

\newcommand{\typefc}{}
\newcommand{\typeface}[1]{\renewcommand{\typefc}{#1}}

\newcommand{\titleb}[1]{\renewcommand{\ptitle}{\typefc {\color{\titleclr} #1}}}
\newcommand{\authorb}[1]{\renewcommand{\pauthor}{\typefc {\color{\authorclr} #1}}}
\newcommand{\dateb}[1]{\renewcommand{\pdate}{\typefc {\color{\dateclr} #1}}}

\newcommand{\wordsz}{\typefc \large}
\newcommand{\wordsize}[1]{\renewcommand{\wordsz}{\typefc #1}}
\newcommand{\headingsz}{\typefc \Large}
\newcommand{\headingsize}[1]{\renewcommand{\wordsz}{\typefc #1}}
\newcommand{\itemb}{\item}

\newcommand{\headerstf}{}
\newcommand{\headerstuff}[1]{\renewcommand{\headerstf}{#1}}
\newcommand{\topclr}{white}
\newcommand{\topcolor}[1]{\renewcommand{\topclr}{#1}}

\newenvironment{cdm}
{\color{\eqclr}$$}
{$$}

\newenvironment{ctxt}
{\color{\txtclr}}
{}

\newenvironment{slideb}
{\begin{slide}
\centerslidesfalse
\wordsz
}
{\end{slide}}

\newenvironment{slidec}
{\begin{slide}
\centerslidesfalse
\wordsz
\begin{ctxt}}
{\end{ctxt}\end{slide}}

\newenvironment{slidecc}
{\begin{slide}
\centerslidestrue
\wordsz
\begin{ctxt}}
{\end{ctxt}\end{slide}}


\newcommand{\slideheading}[1]{
\begin{center} 
\setlength{\fboxsep}{10pt}
%\fbox{
%\shadowbox{
\colorbox{\headingboxclr}{
 \begin{minipage}{1.00\textwidth}
% \begin{minipage}{0.75\textwidth}
 \begin{center}
\typefc \headingsz \color{\headingtextclr} #1
%\Large #1
\end{center}
\end{minipage}
}\end{center}\medskip}


%%Page size and color

\newcommand{\sspce}{\bigskip}

%\parindent=0pt


\newcommand{\relcirc}{\mathrel{\circ}}   
\newcommand{\rc}{\mathrel{\circ}}
%\newcommand{\x}{\times}
\renewcommand{\o}{\circ}
%\newcommand{\alt}{\mathrel{|}}

\def\dotmin{\buildrel\textstyle.\over
    {\hbox{\vrule height.55ex width0pt
        \smash{\hbox{\mathsurround=0pt$-$}}}}}

\def\mathsl#1{\expandafter\def\csname#1\endcsname{\mathop{\sl #1}\nolimits}}
\def\mathbf#1{\expandafter\def\csname#1\endcsname{\mathop{\rm\bf #1}\nolimits}}

\def\mathopn#1{\expandafter\def\csname#1\endcsname{\mathop{\rm #1}\nolimits}}
\def\mathname#1{\expandafter\def\csname#1\endcsname{\mathop{\bf #1}\nolimits}}
\mathopn{op}
\mathopn{comp}

\newcommand{\spce}{\smallskip}

\DeclareMathOperator{\spn}{span}
\DeclareMathOperator{\im}{im}
\DeclareMathOperator{\nll}{nullity}
\DeclareMathOperator{\rk}{rank}
\DeclareMathOperator{\crk}{column rank}
\DeclareMathOperator{\rrk}{row rank}
\DeclareMathOperator{\tr}{tr}
\DeclareMathOperator{\cof}{cof}
\DeclareMathOperator{\adj}{adj}

\newcommand{\rrr}[1]{{\mathbb{R}}^{#1}}
\newcommand{\rr}{\mathbb{R}}
\newcommand{\cc}{\mathbb{C}}
\newcommand{\zz}{\mathbb{Z}}
\newcommand{\zp}{{\zz}^+}
\newcommand{\qq}{\mathbb{Q}}
\newcommand{\nn}{\mathbb{N}}
\newcommand{\grp}[1]{\mathcal{#1}}
\newcommand{\func}[3]{{#1} \colon {#2} \to {#3}}
\newcommand{\eqmod}[3]{{#1} \equiv {#2} \pmod {#3}}
\newcommand{\neqmod}[3]{{#1} \not\equiv {#2} \pmod {#3}}
\newcommand{\relclass}[1]{\lbrack {#1} \rbrack}
\newcommand{\zs}[1]{{\zz}_{{#1}}}

\newcommand{\injspce}[2]{{\mathcal{I}}({#1}, {#2})}

\newcommand{\dg}{^\circ}
\newcommand{\rot}[2]{R_{#1}^{#2}}
\newcommand{\tran}[1]{T_{#1}}
\newcommand{\refl}[1]{M_{#1}}
\newcommand{\glref}[2]{G_{{#1}, {#2}}}
\newcommand{\dist}[2]{d({#1}, {#2})}
\newcommand{\lseg}[2]{\overline{{#1}\,{#2}}}
\newcommand{\linet}[2]{\stackrel{\longleftrightarrow}{{#1}\,{#2}}}
\newcommand{\ray}[2]{\stackrel{\longrightarrow}{{#1}\,{#2}}}
\newcommand{\trian}[3]{\triangle {#1}{#2}{#3}}

\newcommand{\zsc}{\mathsf{0}}
\newcommand{\zv}{\mathit{0}}
\newcommand{\zm}{\mathbf{0}}
\newcommand{\matspce}[3]{\mathsf{M}_{{#1} \times {#2}}({#3})}
\newcommand{\polyspce}[1]{\mathsf{P}({#1})}
\newcommand{\polyspcen}[2]{\mathsf{P}_{#1}({#2})}
\newcommand{\linspce}[2]{\mathcal{L}({#1}, {#2})}
\newcommand{\linspceo}[1]{\mathcal{L}({#1})}
\newcommand{\mmmap}[1]{\mathsf{L}_{#1}}
\newcommand{\idmap}[1]{1_{#1}}
\newcommand{\coordv}[2]{[{#1}]_{#2}}
\newcommand{\matrep}[3]{[{#1}]_{#2}^{#3}}
\newcommand{\matrepo}[2]{[{#1}]_{#2}}
\newcommand{\espce}[1]{\mathsf{E}_{#1}}

\newcommand{\restr}[2]{{#1} |_{{#2}}}
\newcommand{\emone}[2]{\mathcal{E}_1({#1}, {#2})}
\newcommand{\emtwo}[2]{\mathcal{E}_2({#1}; {#2})}
\newcommand{\emthree}[3]{\mathcal{E}_3({#1}, {#2}; {#3})}
\newcommand{\revmov}[1]{{#1}^R}
\newcommand{\obvmov}[1]{{#1}^O}
\newcommand{\assmov}[1]{{#1}^A}
\newcommand{\mcalb}{\mathcal{B}}
\newcommand{\mcalc}{\mathcal{C}}
\newcommand{\mcald}{\mathcal{D}}
\newcommand{\mcale}{\mathcal{E}}
\newcommand{\mcalf}{\mathcal{F}}
\newcommand{\mcalg}{\mathcal{G}}
\newcommand{\mcalh}{\mathcal{H}}
\newcommand{\mcalr}{\mathcal{R}}
\newcommand{\mcals}{\mathcal{S}}
\newcommand{\mcalt}{\mathcal{T}}
\newcommand{\mcall}{\mathcal{L}}
\newcommand{\mcalu}{\mathcal{U}}



\newcommand{\numm}{4}
\newcommand{\numms}{4}
\newcommand{\boxxad}[1]{ \begin{center}\fbox{\begin{minipage}
{4.9truein}\vskip \numm pt #1 \vskip \numms pt \end{minipage}}\end{center}}
\newcommand{\boxd}[1]{ \begin{center}\framebox[5.7truein]{\begin{minipage}
{5.5truein}\vskip 4pt #1 \vskip 3pt \end{minipage}}\end{center}}

\newcommand{\colvectwo}[2]{\left(\begin{matrix} {#1}\\{#2}\end{matrix}\right)} 
\newcommand{\colvecthree}[3]{\left(\begin{matrix} {#1}\\{#2}\\{#3}\end{matrix}\right)} 
\newcommand{\colvecfour}[4]{\left(\begin{matrix} {#1}\\{#2}\\{#3}\\{#4}\end{matrix}\right)} 
\newcommand{\scolvectwo}[2]{\left(\begin{smallmatrix} {#1}\\{#2}\end{smallmatrix}\right)} 
\newcommand{\scolvecthree}[3]{\left(\begin{smallmatrix} {#1}\\{#2}\\{#3}\end{smallmatrix}\right)} 
\newcommand{\scolvecfour}[4]{\left(\begin{smallmatrix} {#1}\\{#2}\\{#3}\\{#4}\end{smallmatrix}\right)} 

\newcommand{\mtwo}[4]{\begin{pmatrix} {#1}&{#2}\\{#3}&{#4} \end{pmatrix}}
\newcommand{\mthree}[9]{\begin{pmatrix} {#1}&{#2}&{#3}\\{#4}&{#5}&{#6}\\{#7}&{#8}&{#9} \end{pmatrix}}
\newcommand{\smtwo}[4]{\left(\begin{smallmatrix} {#1}&{#2}\\{#3}&{#4}\end{smallmatrix}\right)}
\newcommand{\smthree}[9]{\left(\begin{smallmatrix} {#1}&{#2}&{#3}\\{#4}&{#5}&{#6}\\{#7}&{#8}&{#9} \end{smallmatrix}\right)}
\newcommand{\smtwothree}[6]{\left(\begin{smallmatrix} {#1}&{#2}&{#3}\\{#4}&{#5}&{#6} \end{smallmatrix}\right)}
\newcommand{\smthreetwo}[6]{\left(\begin{smallmatrix} {#1}&{#2}\\{#3}&{#4}\\{#5}&{#6} \end{smallmatrix}\right)}
\newcommand{\mij}[1]{\begin{pmatrix} {#1}_{ij} \end{pmatrix}}
\newcommand{\mijv}[3]{\begin{pmatrix} {#1}_{{#2}{#3}} \end{pmatrix}}


\newcommand{\ip}[2]{\langle {#1}, {#2}\rangle}
\newcommand{\norm}[1]{\|{#1}\|}
\newcommand{\powerset}[1]{{\mathcal{P}}({#1})}

%% Here's an example of an operation table:
%% $$
%% \optwo
%% \ast & e & a\\
%% \hline
%% e & e & a\\
%% a & a & e
%% \eopthree.
%% $$

\newcommand{\optwo}{\begin{array}{c|c c}}
\newcommand{\eoptwo}{\end{array}}
\newcommand{\opthree}{\begin{array}{c|c c c}}
\newcommand{\eopthree}{\end{array}}
\newcommand{\opfour}{\begin{array}{c|c c c c}}
\newcommand{\eopfour}{\end{array}}
\newcommand{\opfive}{\begin{array}{c|c c c c c}}
\newcommand{\eopfive}{\end{array}}
\newcommand{\opsix}{\begin{array}{c|c c c c c c}}
\newcommand{\eopsix}{\end{array}}
\newcommand{\opseven}{\begin{array}{c|c c c c c c c}}
\newcommand{\eopseven}{\end{array}}
\newcommand{\opeight}{\begin{array}{c|c c c c c c c c}}
\newcommand{\eopeight}{\end{array}}
\newcommand{\opnine}{\begin{array}{c|c c c c c c c c c}}
\newcommand{\eopnine}{\end{array}}
\newcommand{\opten}{\begin{array}{c|c c c c c c c c c c}}
\newcommand{\eopten}{\end{array}}
\newcommand{\opeleven}{\begin{array}{c|c c c c c c c c c c c}}
\newcommand{\eopeleven}{\end{array}}
\newcommand{\optwelve}{\begin{array}{c|c c c c c c c c c c c c}}
\newcommand{\eoptwelve}{\end{array}}



\providecommand{\qensymbol}{$///$}%
\newcommand{\demo}{\begin{proof}[{\sffamily\bfseries Proof}]\sffamily}
\newcommand{\edemo}{\end{proof}}
\newcommand{\argu}{\begin{proof}[{\sffamily\bfseries Argument}]\sffamily}
\newcommand{\eargu}{\end{proof}}
\newcommand{\demoname}[1]{\begin{proof}[{\sffamily\bfseries #1}]\sffamily}
\newcommand{\edemoname}{\end{proof}}
\newcommand{\nondemo}[1]{\begin{proof}[{\sffamily\bfseries #1}]\sffamily}
\newcommand{\enondemo}{\renewcommand{\qedsymbol}{\qensymbol}
\end{proof}}
\newcommand{\demoex}{\begin{proof}[{\sffamily\bfseries Proof}]\sffamily}
\newcommand{\edemoex}{\renewcommand{\qedsymbol}{\qensymbol}
\end{proof}}

\newcommand{\eq}{\begin{equation}}
\newcommand{\eeq}{\end{equation}}

\newcommand{\equa}[1]{\begin{equation}\label{#1}}
\newcommand{\eequa}{\end{equation}}

\newcommand{\Ffact}{Fact}
\newcommand{\ffact}{fact}

\theoremstyle{plain}
\newtheorem{theorem}{\typefc Theorem}%[section]
\newtheorem{conjecture}[theorem]{\typefc Conjecture}
\newtheorem{claim}[theorem]{\typefc Claim}
\newtheorem{corollary}[theorem]{\typefc Corollary}
\newtheorem{lemma}[theorem]{\typefc Lemma}
\newtheorem{proposition}[theorem]{\typefc Proposition}
\newtheorem{nonametheorem}[theorem]{\typefc }
\newtheorem*{theoremn}{\typefc Theorem}
\newtheorem*{conjecturen}{\typefc Conjecture}
\newtheorem*{claimn}{\typefc Claim}
\newtheorem*{corollaryn}{\typefc Corollary}
\newtheorem*{lemman}{\typefc Lemma}
\newtheorem*{propositionn}{\typefc Proposition}
\newtheorem*{nonametheoremn}{\typefc }

\theoremstyle{definition}
\newtheorem{example}[theorem]{\typefc Example}
\newtheorem{remark}[theorem]{\typefc Remark}
\newtheorem{algorithm}[theorem]{\typefc Algorithm}
\newtheorem{definition}[theorem]{\typefc Definition}
\newtheorem{exercise}{}[section]
\newtheorem{problemm}{}
\newtheorem{exercisee}{\typefc Exercise}%[section]
\newtheorem*{definitionn}{\typefc Definition}
\newtheorem*{examplen}{\typefc Example}
\newtheorem*{remarkn}{\typefc Remark}
\newtheorem*{algorithmn}{\typefc Algorithm}
\newtheorem*{exercisen}{}
\newtheorem*{problemmn}{}
\newtheorem*{exerciseen}{\typefc Exercise}

\newcommand{\thm}{\begin{theorem}}
%\newcommand{\thm}{\sffamily\begin{theorem}\rmfamily\upshape}
\newcommand{\ethm}{\end{theorem}}
\newcommand{\conj}{\begin{conjecture}}
\newcommand{\econj}{\end{conjecture}}
\newcommand{\clm}{\begin{claim}}
\newcommand{\eclm}{\end{claim}}
\newcommand{\expl}{\begin{example}}
%\newcommand{\expl}{\begin{example}\sffamily}
\newcommand{\eexpl}{\qex\end{example}}
\newcommand{\remk}{\begin{remark}}
%\newcommand{\remk}{\begin{remark}\sffamily}
\newcommand{\eremk}{\qex\end{remark}}
\newcommand{\alg}{\begin{algorithm}}
%\newcommand{\alg}{\begin{algorithm}\sffamily}
\newcommand{\ealg}{\qex\end{algorithm}}
\newcommand{\defn}{\begin{definition}}
%\newcommand{\defn}{\begin{definition}\sffamily}
\newcommand{\edefn}{\qef\end{definition}}
\newcommand{\thmn}{\begin{theoremn}}
\newcommand{\ethmn}{\end{theoremn}}
\newcommand{\conjn}{\begin{conjecturen}}
\newcommand{\econjn}{\end{conjecturen}}
\newcommand{\clmn}{\begin{claimn}}
\newcommand{\eclmn}{\end{claimn}}
\newcommand{\expln}{\begin{examplen}}
\newcommand{\eexpln}{\qex\end{examplen}}
\newcommand{\remkn}{\begin{remarkn}}
\newcommand{\eremkn}{\qex\end{remarkn}}
\newcommand{\algn}{\begin{algorithmn}}
\newcommand{\ealgn}{\qex\end{algorithmn}}
\newcommand{\nnthm}{\begin{nonametheorem}}
\newcommand{\ennthm}{\end{nonametheorem}}
\newcommand{\nnthmn}{\begin{nonametheoremn}}
\newcommand{\ennthmn}{\end{nonametheoremn}}


\newcommand{\exr}{\begin{exercise}}
\newcommand{\eexr}{\end{exercise}}
\newcommand{\exrs}[1]{\begin{exercise}
{\sffamily\bfseries [#1]}\ \ }
\newcommand{\eexrs}{\end{exercise}}

\newcommand{\exre}{\begin{exercisee} \rm}
\newcommand{\eexre}{\end{exercisee}}

\newcommand{\hexr}[1]{\begin{proof}[{\sffamily\bfseries \ref{#1}}]}
\newcommand{\ehexr}{\renewcommand{\qed}{}
\end{proof}}

\newcommand{\helpsec}[2]{\par\par\par\spce\spce\spce
{\qquad\quad \sffamily\bfseries Section 
\ref{#1} \quad #2}\par\par}


\newcommand{\prob}{\begin{problemm}. \rm}
\newcommand{\eprob}{\end{problemm}}


\newcommand{\coro}{\begin{corollary}}
\newcommand{\ecoro}{\end{corollary}}
\newcommand{\lem}{\begin{lemma}}
\newcommand{\elem}{\end{lemma}}
\newcommand{\prop}{\begin{proposition}}
\newcommand{\eprop}{\end{proposition}}
\newcommand{\coron}{\begin{corollaryn}}
\newcommand{\ecoron}{\end{corollaryn}}
\newcommand{\lemn}{\begin{lemman}}
\newcommand{\elemn}{\end{lemman}}
\newcommand{\propn}{\begin{propositionn}}
\newcommand{\epropn}{\end{propositionn}}

\newtheorem{ffigure}{\hskip 1.8truein Insert Figure}[section]
\newcommand{\figg}{\begin{ffigure} \rm}
\newcommand{\efigg}{\end{ffigure}}

\providecommand{\qexsymbol}{$\lozenge$}%
\newcommand{\mathqex}{\quad\hbox{\qexsymbol}}
\DeclareRobustCommand{\qex}{%
  \ifmmode \mathqex
  \else
    \leavevmode\unskip\penalty9999 \hbox{}\nobreak\hfill
    \quad\hbox{\qexsymbol}%
  \fi
}
\providecommand{\qefsymbol}{$\triangle$}%
\newcommand{\mathqef}{\quad\hbox{\qefsymbol}}
\DeclareRobustCommand{\qef}{%
  \ifmmode \mathqef
  \else
    \leavevmode\unskip\penalty9999 \hbox{}\nobreak\hfill
    \quad\hbox{\qefsymbol}%
  \fi
}
\providecommand{\qensymbol}{$///$}%
\newcommand{\mathqen}{\quad\hbox{\qensymbol}}
\DeclareRobustCommand{\qen}{%
  \ifmmode \mathqen
  \else
    \leavevmode\unskip\penalty9999 \hbox{}\nobreak\hfill
    \quad\hbox{\qensymbol}%
  \fi
}

\newcommand{\enum}{\begin{enumerate}}
\newcommand{\eenum}{\end{enumerate}}
\newcommand{\renum}{\begin{rnumerate}}
\newcommand{\reenum}{\end{rnumerate}}

%%There cannot be a space after ``\nd n,'' as in ``\nd{n}manifold''
\newcommand{\nd}[1]{$#1$\nobreakdash-\hspace{0pt}}
\newcommand{\nb}[1]{{#1}\nobreakdash-\hspace{0pt}}

\newcommand{\nth}[2]{${#1}^{\text{#2}}$}
\newcommand{\nbth}[2]{{#1}${}^{\text{#2}}$}

%%Here there can be a space after these.
\newcommand{\ndn}{$n$\nobreakdash-\hspace{0pt}}
\newcommand{\ndt}{$2$\nobreakdash-\hspace{0pt}}

\newcommand{\nbd}{\nobreakdash-\hspace{0pt}}



%%%%%%%%%%%%%%%%%%%%%

\newcommand{\doublespace}{\setlength{\baselineskip}{24pt}}
\newcommand{\singlespace}{\setlength{\baselineskip}{12pt}}

%%%%%%%%%%%%%%%%%%%%%

%%((Ann: Here is the figures macro.  It is used by writing
%% \fig {figure label}{postscript file name} .
%% I have commented out ``BoxedEPSF,'' but for your use
%% you should remove the %%.  Also, you did not put a \
%% before BoxedEPSF, so I did not put one either.
%% Was that a typo? 

\newcommand{\figskip}{7pt}

%%Label, figure.
\newcommand{\figm}[2]
{\begin{figure}[ht]
\begin{center}
%%BoxedEPSF{#2}
{\ }\vskip\figskip
\end{center}
\caption{}\label{#1}
\end{figure}}

%%This command leaves a fixed size blank space,
%%and puts the label name in the margin
%%Label, blank.
\newcommand{\fig}[1]
{\begin{figure}[ht]
{\ }\vskip\figskip
\caption{\ \ \ #1}\label{#1}
\end{figure}
%\marginpar{{#1}}
}

%%For use with BMP files.
%%Label (also figure name), width, height
%%Requires \input setbmp
\newcommand{\figbmp}[3]
{\begin{figure}[ht]
%\centerbmp{#2cm}{#3cm}{c:/figures/#1.bmp}
\centerbmp{#2cm}{#3cm}{\figfile#1.bmp}
\caption{}\label{#1}
\end{figure}}

%%For use with JPEG files.  Must use PS mode.
%%Label (also figure name), width, height
%%Requires \input setbmp
\newcommand{\figjpga}[3]
{\begin{figure}[ht]
%\centerbmp{#2cm}{#3cm}{c:/figures/#1.jpg}
\centerbmp{#2cm}{#3cm}{\figfile#1.jpg}
\caption{}\label{#1}
\end{figure}}

%%For use with JPEG files.  Must use PS mode.
%%Label (also figure name), width, height
%%Requires \input setbmp
\newcommand{\figjpgactual}[3]
{\begin{figure}[ht]
%\centerbmp{#2cm}{#3cm}{c:/figures/#1.jpg}
\centerbmp{#2cm}{#3cm}{\figfile#1.jpg}
\caption{\ \ \ #1\qquad}\label{#1}
\end{figure}}

%%For use with JPEG files.  Must use PS mode.
%%Label (also figure name), width, height
%%Requires \input setbmp
\newcommand{\figjpgdone}[3]
{\begin{figure}[ht]
{\ }\vskip\figskip
\caption{\ \ \ #1\qquad DONE!}\label{#1}
\end{figure}}


%%For use with EPS files.  Must use PS mode.
%%Requires \usepackage{graphics}
\newcommand{\figepsactual}[1]
{\vskip\figskip
\begin{figure}[ht]
\hfil\includegraphics{\figfile#1.eps}\hfil
%\caption{\ \ \ #1\qquad}
\label{#1}
\end{figure}}

%%This command leaves a fixed size blank space,
%%and puts the label name in the margin
%%Label, blank.
\newcommand{\figepsdone}[1]
{\begin{figure}[ht]
{\ }\vskip\figskip
\caption{\ \ \ #1\qquad DONE!}\label{#1}
\end{figure}
%\marginpar{{#1}}
}

%%For use with EPS files.
%%Label (also figure name), width, height
%%Requires \input setbmp
\newcommand{\figepsa}[3]
{\bigskip
\begin{figure}[ht]
%\centerbmp{#2cm}{#3cm}{c:/Ethan/figures/#1.eps}
\centereps{#2cm}{#3cm}{\figfile#1.eps}
\caption{}\label{#1}
\end{figure}}

\newcommand{\figspace}[2]{
\begin{figure}[htbp]
\begin{center}
\vskip #1
\end{center}
\caption{\label{#2}}
\end{figure}
}


%%From Amy Hendrickson, for Proofs \& Fundamentals

\long\def\@makecaption#1#2{%
  \vskip\abovecaptionskip
  \sbox\@tempboxa{#1. #2}%
  \ifdim \wd\@tempboxa >\hsize
    #1. #2\par
  \else
    \global \@minipagefalse
    \hbox to\hsize{\hfil\box\@tempboxa\hfil}%
  \fi
  \vskip\belowcaptionskip}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\setlength{\fboxsep}{20pt}

%Write \postertop{title}{student name}{program}{month and year}{adviser name}

%%%%%%%%%
\newcommand{\postercolor}{Black}

\newcommand{\shadowcolor}[1]{\renewcommand{\postercolor}{#1}}


\def\cshadowbox{\VerbBox\@cshadowbox}
\def\@cshadowbox#1#2{%
 \setbox\@fancybox\hbox{\fbox{#1}}%
 \leavevmode\vbox{%
   \offinterlineskip
   \dimen@=\shadowsize
   \advance\dimen@ .5\fboxrule
   \hbox{\copy\@fancybox\kern-.5\fboxrule\lower\shadowsize\hbox{%
       {\color{#2}\vrule \@height\ht\@fancybox \@depth\dp\@fancybox
         \@width\dimen@}}}%
   \vskip-\dimen@
   \moveright\shadowsize\vbox{%
     {\color{#2} \hrule \@width\wd\@fancybox \@height\dimen@}}}}


%%%%%%%%%%%%%


%%Todd's with variable symbol after the number
\newenvironment{posterlist}[2]
              {\begin{list}{\textcolor{#1}{\arabic{enumi}#2}}
                  {\usecounter{enumi}
                    \setlength{\rightmargin}{\leftmargin}
                    \setlength{\leftmargin}{1in}
                    \setlength{\itemindent}{-.5in}}}
              {\end{list}}

%%With period after the number
\newenvironment{enumerateb}
              {\begin{list}{\textcolor{\enumclr}{\arabic{enumi}.}}
                  {\usecounter{enumi}
                    \setlength{\rightmargin}{\leftmargin}
                    %\setlength{\leftmargin}{1in}
                    %\setlength{\itemindent}{-.5in}
                    }}
              {\end{list}}
              
\newenvironment{enumeratec}
              {\begin{list}{\textcolor{\enumclr}{\arabic{enumi}.}}
                  {\usecounter{enumi}
                    \setlength{\rightmargin}{\leftmargin}\color{\itemclr}
                    %\setlength{\leftmargin}{1in}
                    %\setlength{\itemindent}{-.5in}
                    }}
              {\end{list}}
              
\newenvironment{itemizeb}
             {\begin{list}{\textcolor{\bulletclr}{$\bullet$}}
                 {\setlength{\rightmargin}{\leftmargin}
                   %\setlength{\leftmargin}{1in}
                   %\setlength{\itemindent}{-.5in}
                   }}
             {\end{list}}

\newenvironment{itemizec}
             {\begin{list}{\textcolor{\bulletclr}{$\bullet$}}
                 {\setlength{\rightmargin}{\leftmargin}\color{\itemclr}
                   %\setlength{\leftmargin}{1in}
                   %\setlength{\itemindent}{-.5in}
                   }}
             {\end{list}}

\newcommand{\bullpdf}{}
\newcommand{\bulletpdf}[1]{\renewcommand{\bullpdf}{#1}}
\newcommand{\bulletpdfscl}{1}
\newcommand{\bulletpdfscale}[1]{\renewcommand{\bulletpdfscl}{#1}}

\newcommand{\bullchc}{\textcolor{\bulletclr}{$\bullet$}}
\newcommand{\bulletchoice}[1]{\renewcommand{\bullchc}{#1}}
\newcommand{\bulletchoicegraphic}[1]{\renewcommand{\bullchc}{\includegraphics{#1}}}
\newcommand{\bulletchoicegraphicscale}[2]{\renewcommand{\bullchc}{\includegraphics[scale=#2]{#1}}}

\newenvironment{itemizef}
             {\begin{list}{\bullchc}
                 {\setlength{\rightmargin}{\leftmargin}%\color{\itemclr}
                   %\setlength{\leftmargin}{1in}
                   %\setlength{\itemindent}{-.5in}
                   }}
             {\end{list}}


%             {\begin{list}{\includegraphics[scale=0.5]{\figfile figDOTd.pdf}}

%\newenvironment{itemizef}
%             {\begin{list}{\includegraphics[scale=\bulletpdfscl]{\bullpdf}}
%                 {\setlength{\rightmargin}{\leftmargin}%\color{\itemclr}
%                   %\setlength{\leftmargin}{1in}
%                   %\setlength{\itemindent}{-.5in}
%                   }}
%             {\end{list}}



%\begin{enumeratec}{red}
%\item Fred
%\item Susan
%\item Xanadu
%\end{colorlist}


%%%%%%%%%%%


%%%%%%groupheadbull

\newcommand{\groupheadbullzero}[1]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}
}

\newcommand{\groupheadbullone}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbulltwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullthree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullfour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullfive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullsix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbulleight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbull}[2]
{\ifnum #1=0 \groupheadbullzero #2 \else 
{\ifnum #1=1 \groupheadbullone #2 \else 
{\ifnum #1=2 \groupheadbulltwo  #2 \else 
{\ifnum #1=3 \groupheadbullthree #2  \else 
{\ifnum #1=4 \groupheadbullfour  #2 \else 
{\ifnum #1=5 \groupheadbullfive  #2 \else 
{\ifnum #1=6 \groupheadbullsix  #2 \else 
{\ifnum #1=7 \groupheadbullseven  #2 \else
{\ifnum #1=8 \groupheadbulleight  #2 \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullstartone

\newcommand{\groupheadbullstartoneone}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartonetwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartonethree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartonefour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartonefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartonesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartoneseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartoneeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartone}[2]
{\ifnum #1=1 \groupheadbullstartoneone #2  \else 
{\ifnum #1=2 \groupheadbullstartonetwo #2  \else 
{\ifnum #1=3 \groupheadbullstartonethree #2  \else 
{\ifnum #1=4 \groupheadbullstartonefour  #2 \else 
{\ifnum #1=5 \groupheadbullstartonefive  #2 \else 
{\ifnum #1=6 \groupheadbullstartonesix  #2 \else 
{\ifnum #1=7 \groupheadbullstartoneseven  #2 \else
{\ifnum #1=8 \groupheadbullstartoneeight  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullstarttwo

\newcommand{\groupheadbullstarttwotwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstarttwothree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstarttwofour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstarttwofive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstarttwosix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstarttwoseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstarttwoeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstarttwo}[2]
{\ifnum #1=2 \groupheadbullstarttwotwo #2  \else 
{\ifnum #1=3 \groupheadbullstarttwothree #2  \else 
{\ifnum #1=4 \groupheadbullstarttwofour  #2 \else 
{\ifnum #1=5 \groupheadbullstarttwofive  #2 \else 
{\ifnum #1=6 \groupheadbullstarttwosix  #2 \else 
{\ifnum #1=7 \groupheadbullstarttwoseven  #2 \else
{\ifnum #1=8 \groupheadbullstarttwoeight  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullstartthree

\newcommand{\groupheadbullstartthreethree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartthreefour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartthreefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartthreesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartthreeseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartthreeeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartthree}[2]
{\ifnum #1=3 \groupheadbullstartthreethree  #2 \else 
{\ifnum #1=4 \groupheadbullstartthreefour  #2 \else 
{\ifnum #1=5 \groupheadbullstartthreefive  #2 \else 
{\ifnum #1=6 \groupheadbullstartthreesix  #2 \else 
{\ifnum #1=7 \groupheadbullstartthreeseven #2 \else
 {\ifnum #1=8 \groupheadbullstartthreeeight #2
\fi} \fi} \fi} \fi} \fi} \fi}

%%%%%%%%groupheadbullstartfour

\newcommand{\groupheadbullstartfourfour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartfourfive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartfoursix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartfourseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartfoureight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartfour}[2]
{\ifnum #1=4 \groupheadbullstartfourfour  #2 \else 
{\ifnum #1=5 \groupheadbullstartfourfive  #2 \else 
{\ifnum #1=6 \groupheadbullstartfoursix  #2 \else 
{\ifnum #1=7 \groupheadbullstartfourseven  #2 \else 
{\ifnum #1=8 \groupheadbullstartfoureight #2  \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullstartfive

\newcommand{\groupheadbullstartfivefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartfivesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartfiveseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartfiveeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartfive}[2]
{\ifnum #1=5 \groupheadbullstartfivefive  #2 \else 
{\ifnum #1=6 \groupheadbullstartfivesix  #2 \else 
{\ifnum #1=7 \groupheadbullstartfiveseven  #2 \else
{\ifnum #1=8 \groupheadbullstartfiveeight  #2 \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullstartsix

\newcommand{\groupheadbullstartsixsix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartsixseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}


\newcommand{\groupheadbullstartsixeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartsix}[2]
{\ifnum #1=6 \groupheadbullstartsixsix #2 \else
{\ifnum #1=7 \groupheadbullstartsixseven #2 \else
{\ifnum #1=8 \groupheadbullstartsixeight #2  \fi} \fi} \fi}


%%%%%%%%groupheadbullstartseven

\newcommand{\groupheadbullstartsevenseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartseveneight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizeb}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
}

\newcommand{\groupheadbullstartseven}[2]
{\ifnum #1=7 \groupheadbullstartsevenseven #2 \else
{\ifnum #1=8 \groupheadbullstartseveneight #2  \fi} \fi}

%%%%%%%%groupheadbullstarteight

\newcommand{\groupheadbullstarteighteight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizeb}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizeb}
\end{slide}
\end{slide}
}

\newcommand{\groupheadbullstarteight}[2]
{\ifnum #1=8 \groupheadbullstarteighteight #2 \fi}


\newcommand{\groupheadbullstart}[3]
{\ifnum #1=1 \groupheadbullstartone {#2}{#3} \else 
{\ifnum #1=2 \groupheadbullstarttwo  {#2}{#3} \else 
{\ifnum #1=3 \groupheadbullstartthree {#2}{#3}  \else 
{\ifnum #1=4 \groupheadbullstartfour  {#2}{#3} \else 
{\ifnum #1=5 \groupheadbullstartfive  {#2}{#3} \else 
{\ifnum #1=6 \groupheadbullstartsix  {#2}{#3} \else 
{\ifnum #1=7 \groupheadbullstartseven  {#2}{#3} \else
{\ifnum #1=8 \groupheadbullstarteight  {#2}{#3} \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%groupheadbullc

\newcommand{\groupheadbullczero}[1]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}
}

\newcommand{\groupheadbullcone}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullctwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcthree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcfour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcfive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcsix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullceight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullc}[2]
{\ifnum #1=0 \groupheadbullczero #2 \else 
{\ifnum #1=1 \groupheadbullcone #2 \else 
{\ifnum #1=2 \groupheadbullctwo  #2 \else 
{\ifnum #1=3 \groupheadbullcthree #2  \else 
{\ifnum #1=4 \groupheadbullcfour  #2 \else 
{\ifnum #1=5 \groupheadbullcfive  #2 \else 
{\ifnum #1=6 \groupheadbullcsix  #2 \else 
{\ifnum #1=7 \groupheadbullcseven  #2 \else
{\ifnum #1=8 \groupheadbullceight  #2 \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullcstartone

%%%%%%%%%here

\newcommand{\groupheadbullcstartoneone}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartonetwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartonethree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartonefour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartonefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartonesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartoneseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartoneeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartone}[2]
{\ifnum #1=1 \groupheadbullcstartoneone #2  \else 
{\ifnum #1=2 \groupheadbullcstartonetwo #2  \else 
{\ifnum #1=3 \groupheadbullcstartonethree #2  \else 
{\ifnum #1=4 \groupheadbullcstartonefour  #2 \else 
{\ifnum #1=5 \groupheadbullcstartonefive  #2 \else 
{\ifnum #1=6 \groupheadbullcstartonesix  #2 \else 
{\ifnum #1=7 \groupheadbullcstartoneseven  #2 \else
{\ifnum #1=8 \groupheadbullcstartoneeight  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullcstarttwo

\newcommand{\groupheadbullcstarttwotwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstarttwothree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstarttwofour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstarttwofive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstarttwosix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstarttwoseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstarttwoeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstarttwo}[2]
{\ifnum #1=2 \groupheadbullcstarttwotwo #2  \else 
{\ifnum #1=3 \groupheadbullcstarttwothree #2  \else 
{\ifnum #1=4 \groupheadbullcstarttwofour  #2 \else 
{\ifnum #1=5 \groupheadbullcstarttwofive  #2 \else 
{\ifnum #1=6 \groupheadbullcstarttwosix  #2 \else 
{\ifnum #1=7 \groupheadbullcstarttwoseven  #2 \else
{\ifnum #1=8 \groupheadbullcstarttwoeight  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullcstartthree

\newcommand{\groupheadbullcstartthreethree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartthreefour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartthreefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartthreesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartthreeseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartthreeeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartthree}[2]
{\ifnum #1=3 \groupheadbullcstartthreethree  #2 \else 
{\ifnum #1=4 \groupheadbullcstartthreefour  #2 \else 
{\ifnum #1=5 \groupheadbullcstartthreefive  #2 \else 
{\ifnum #1=6 \groupheadbullcstartthreesix  #2 \else 
{\ifnum #1=7 \groupheadbullcstartthreeseven #2 \else
 {\ifnum #1=8 \groupheadbullcstartthreeeight #2
\fi} \fi} \fi} \fi} \fi} \fi}

%%%%%%%%groupheadbullcstartfour

\newcommand{\groupheadbullcstartfourfour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartfourfive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartfoursix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartfourseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartfoureight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartfour}[2]
{\ifnum #1=4 \groupheadbullcstartfourfour  #2 \else 
{\ifnum #1=5 \groupheadbullcstartfourfive  #2 \else 
{\ifnum #1=6 \groupheadbullcstartfoursix  #2 \else 
{\ifnum #1=7 \groupheadbullcstartfourseven  #2 \else 
{\ifnum #1=8 \groupheadbullcstartfoureight #2  \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullcstartfive

\newcommand{\groupheadbullcstartfivefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartfivesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartfiveseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartfiveeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartfive}[2]
{\ifnum #1=5 \groupheadbullcstartfivefive  #2 \else 
{\ifnum #1=6 \groupheadbullcstartfivesix  #2 \else 
{\ifnum #1=7 \groupheadbullcstartfiveseven  #2 \else
{\ifnum #1=8 \groupheadbullcstartfiveeight  #2 \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullcstartsix

\newcommand{\groupheadbullcstartsixsix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartsixseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}


\newcommand{\groupheadbullcstartsixeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartsix}[2]
{\ifnum #1=6 \groupheadbullcstartsixsix #2 \else
{\ifnum #1=7 \groupheadbullcstartsixseven #2 \else
{\ifnum #1=8 \groupheadbullcstartsixeight #2  \fi} \fi} \fi}


%%%%%%%%groupheadbullcstartseven

\newcommand{\groupheadbullcstartsevenseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartseveneight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizec}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
}

\newcommand{\groupheadbullcstartseven}[2]
{\ifnum #1=7 \groupheadbullcstartsevenseven #2 \else
{\ifnum #1=8 \groupheadbullcstartseveneight #2  \fi} \fi}

%%%%%%%%groupheadbullcstarteight

\newcommand{\groupheadbullcstarteighteight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizec}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizec}
\end{slide}
\end{slide}
}

\newcommand{\groupheadbullcstarteight}[2]
{\ifnum #1=8 \groupheadbullcstarteighteight #2 \fi}


\newcommand{\groupheadbullcstart}[3]
{\ifnum #1=1 \groupheadbullcstartone {#2}{#3} \else 
{\ifnum #1=2 \groupheadbullcstarttwo  {#2}{#3} \else 
{\ifnum #1=3 \groupheadbullcstartthree {#2}{#3}  \else 
{\ifnum #1=4 \groupheadbullcstartfour  {#2}{#3} \else 
{\ifnum #1=5 \groupheadbullcstartfive  {#2}{#3} \else 
{\ifnum #1=6 \groupheadbullcstartsix  {#2}{#3} \else 
{\ifnum #1=7 \groupheadbullcstartseven  {#2}{#3} \else
{\ifnum #1=8 \groupheadbullcstarteight  {#2}{#3} \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}

%%%%%%%%%%
%%%%%%%%%%%

%%%%%%groupheadbullf

\newcommand{\groupheadbullfzero}[1]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}
}

\newcommand{\groupheadbullfone}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullftwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfthree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullffour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullffive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfsix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullf}[2]
{\ifnum #1=0 \groupheadbullfzero #2 \else 
{\ifnum #1=1 \groupheadbullfone #2 \else 
{\ifnum #1=2 \groupheadbullftwo  #2 \else 
{\ifnum #1=3 \groupheadbullfthree #2  \else 
{\ifnum #1=4 \groupheadbullffour  #2 \else 
{\ifnum #1=5 \groupheadbullffive  #2 \else 
{\ifnum #1=6 \groupheadbullfsix  #2 \else 
{\ifnum #1=7 \groupheadbullfseven  #2 \else
{\ifnum #1=8 \groupheadbullfeight  #2 \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullfstartone

%%%%%%%%%here

\newcommand{\groupheadbullfstartoneone}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartonetwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartonethree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartonefour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartonefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartonesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartoneseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartoneeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartone}[2]
{\ifnum #1=1 \groupheadbullfstartoneone #2  \else 
{\ifnum #1=2 \groupheadbullfstartonetwo #2  \else 
{\ifnum #1=3 \groupheadbullfstartonethree #2  \else 
{\ifnum #1=4 \groupheadbullfstartonefour  #2 \else 
{\ifnum #1=5 \groupheadbullfstartonefive  #2 \else 
{\ifnum #1=6 \groupheadbullfstartonesix  #2 \else 
{\ifnum #1=7 \groupheadbullfstartoneseven  #2 \else
{\ifnum #1=8 \groupheadbullfstartoneeight  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullfstarttwo

\newcommand{\groupheadbullfstarttwotwo}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstarttwothree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstarttwofour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstarttwofive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstarttwosix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstarttwoseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstarttwoeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstarttwo}[2]
{\ifnum #1=2 \groupheadbullfstarttwotwo #2  \else 
{\ifnum #1=3 \groupheadbullfstarttwothree #2  \else 
{\ifnum #1=4 \groupheadbullfstarttwofour  #2 \else 
{\ifnum #1=5 \groupheadbullfstarttwofive  #2 \else 
{\ifnum #1=6 \groupheadbullfstarttwosix  #2 \else 
{\ifnum #1=7 \groupheadbullfstarttwoseven  #2 \else
{\ifnum #1=8 \groupheadbullfstarttwoeight  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullfstartthree

\newcommand{\groupheadbullfstartthreethree}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartthreefour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartthreefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartthreesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartthreeseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartthreeeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartthree}[2]
{\ifnum #1=3 \groupheadbullfstartthreethree  #2 \else 
{\ifnum #1=4 \groupheadbullfstartthreefour  #2 \else 
{\ifnum #1=5 \groupheadbullfstartthreefive  #2 \else 
{\ifnum #1=6 \groupheadbullfstartthreesix  #2 \else 
{\ifnum #1=7 \groupheadbullfstartthreeseven #2 \else
 {\ifnum #1=8 \groupheadbullfstartthreeeight #2
\fi} \fi} \fi} \fi} \fi} \fi}

%%%%%%%%groupheadbullfstartfour

\newcommand{\groupheadbullfstartfourfour}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartfourfive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartfoursix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartfourseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartfoureight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartfour}[2]
{\ifnum #1=4 \groupheadbullfstartfourfour  #2 \else 
{\ifnum #1=5 \groupheadbullfstartfourfive  #2 \else 
{\ifnum #1=6 \groupheadbullfstartfoursix  #2 \else 
{\ifnum #1=7 \groupheadbullfstartfourseven  #2 \else 
{\ifnum #1=8 \groupheadbullfstartfoureight #2  \fi} \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullfstartfive

\newcommand{\groupheadbullfstartfivefive}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartfivesix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartfiveseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartfiveeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartfive}[2]
{\ifnum #1=5 \groupheadbullfstartfivefive  #2 \else 
{\ifnum #1=6 \groupheadbullfstartfivesix  #2 \else 
{\ifnum #1=7 \groupheadbullfstartfiveseven  #2 \else
{\ifnum #1=8 \groupheadbullfstartfiveeight  #2 \fi} \fi} \fi} \fi}


%%%%%%%%groupheadbullfstartsix

\newcommand{\groupheadbullfstartsixsix}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartsixseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}


\newcommand{\groupheadbullfstartsixeight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartsix}[2]
{\ifnum #1=6 \groupheadbullfstartsixsix #2 \else
{\ifnum #1=7 \groupheadbullfstartsixseven #2 \else
{\ifnum #1=8 \groupheadbullfstartsixeight #2  \fi} \fi} \fi}


%%%%%%%%groupheadbullfstartseven

\newcommand{\groupheadbullfstartsevenseven}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartseveneight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupheadbullfstartseven}[2]
{\ifnum #1=7 \groupheadbullfstartsevenseven #2 \else
{\ifnum #1=8 \groupheadbullfstartseveneight #2  \fi} \fi}

%%%%%%%%groupheadbullfstarteight

\newcommand{\groupheadbullfstarteighteight}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\slideheading{#1}
\begin{itemizef}
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
\end{slide}
}

\newcommand{\groupheadbullfstarteight}[2]
{\ifnum #1=8 \groupheadbullfstarteighteight #2 \fi}


\newcommand{\groupheadbullfstart}[3]
{\ifnum #1=1 \groupheadbullfstartone {#2}{#3} \else 
{\ifnum #1=2 \groupheadbullfstarttwo  {#2}{#3} \else 
{\ifnum #1=3 \groupheadbullfstartthree {#2}{#3}  \else 
{\ifnum #1=4 \groupheadbullfstartfour  {#2}{#3} \else 
{\ifnum #1=5 \groupheadbullfstartfive  {#2}{#3} \else 
{\ifnum #1=6 \groupheadbullfstartsix  {#2}{#3} \else 
{\ifnum #1=7 \groupheadbullfstartseven  {#2}{#3} \else
{\ifnum #1=8 \groupheadbullfstarteight  {#2}{#3} \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}


%%%%%%%%%%%%%
%%%%%%groupnoheadbullff

\newcommand{\groupnoheadbullfone}[1]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullftwo}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfthree}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz

\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz

\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullffour}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullffive}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfsix}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfseven}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfeight}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfnine}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullf}[2]
{\ifnum #1=1 \groupnoheadbullfone #2 \else 
{\ifnum #1=2 \groupnoheadbullftwo  #2 \else 
{\ifnum #1=3 \groupnoheadbullfthree #2  \else 
{\ifnum #1=4 \groupnoheadbullffour  #2 \else 
{\ifnum #1=5 \groupnoheadbullffive  #2 \else 
{\ifnum #1=6 \groupnoheadbullfsix  #2 \else 
{\ifnum #1=7 \groupnoheadbullfseven  #2 \else
{\ifnum #1=8 \groupnoheadbullfeight  #2 \else
{\ifnum #1=9 \groupnoheadbullfnine #2 \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}

%%%%%%%%groupnoheadbullfstarttwo

\newcommand{\groupnoheadbullfstarttwotwo}[2]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstarttwothree}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstarttwofour}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstarttwofive}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstarttwosix}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstarttwoseven}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstarttwoeight}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstarttwonine}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstarttwo}[2]
{\ifnum #1=2 \groupnoheadbullfstarttwotwo #2  \else 
{\ifnum #1=3 \groupnoheadbullfstarttwothree #2  \else 
{\ifnum #1=4 \groupnoheadbullfstarttwofour  #2 \else 
{\ifnum #1=5 \groupnoheadbullfstarttwofive  #2 \else 
{\ifnum #1=6 \groupnoheadbullfstarttwosix  #2 \else 
{\ifnum #1=7 \groupnoheadbullfstarttwoseven  #2 \else
{\ifnum #1=8 \groupnoheadbullfstarttwoeight  #2 \else
{\ifnum #1=9 \groupnoheadbullfstarttwonine  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi} \fi}

%%%%%%%%groupnoheadbullfstartthree

\newcommand{\groupnoheadbullfstartthreethree}[3]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstartthreefour}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstartthreefive}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstartthreesix}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstartthreeseven}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstartthreeeight}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstartthreenine}[9]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\item #8
\item #9
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstartthree}[2]
{\ifnum #1=3 \groupnoheadbullfstartthreethree  #2 \else 
{\ifnum #1=4 \groupnoheadbullfstartthreefour  #2 \else 
{\ifnum #1=5 \groupnoheadbullfstartthreefive  #2 \else 
{\ifnum #1=6 \groupnoheadbullfstartthreesix  #2 \else 
{\ifnum #1=7 \groupnoheadbullfstartthreeseven  #2 \else
{\ifnum #1=8 \groupnoheadbullfstartthreeeight  #2 \else
{\ifnum #1=9 \groupnoheadbullfstartthreenine  #2
\fi} \fi} \fi} \fi} \fi} \fi} \fi}

%%%%%%%%groupnoheadbullfstartfour

\newcommand{\groupnoheadbullfstartfourfour}[4]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstartfourfive}[5]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}
}

\newcommand{\groupnoheadbullfstartfoursix}[6]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstartfourseven}[7]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #4
\item #5
\item #6
\item #7
\end{itemizef}
\end{slide}
}


\newcommand{\groupnoheadbullfstartfoureight}[8]
{
\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
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\end{itemizef}
\end{slide}

\begin{slide}
\centerslidesfalse
\wordsz
\begin{itemizef}
\item #1
\item #2
\item #3
\item #