\usepackage{fancyhdr}
\usepackage[latin1]{inputenc}
\usepackage{graphicx,multicol,amsmath,amssymb,ifthen}
\usepackage[francais]{babel} \AutoSpaceBeforeFDP %
\usepackage{color}
\usepackage{framed}
\usepackage{stmaryrd}


\setlength{\oddsidemargin}{0cm}
\addtolength{\textwidth}{70pt}
\setlength{\topmargin}{0cm}
\addtolength{\textheight}{3cm}


\newcommand{\Correction}[1]
{
  \ifthenelse{\boolean{corrige}}
  {\definecolor{shadecolor}{gray}{0.80} \begin{shaded} {\small #1} \end{shaded}}{}
}



\newcommand{\titreTD}[3]{%
\title{Module #1 \\
#2 : #3
\Correction{Correction}}
\author{}
\date{}

\pagestyle{fancy}
\lhead{\sf MIT 1}
\rhead{\sf Module #1 \ #2 \ifthenelse{\boolean{corrige}}{, correction}{}}}



\newcounter{probleme} 
\newcounter{question}
\setcounter{probleme}{1} 
\setcounter{question}{1} 
\def\theprobleme{\Roman{probleme}}
\def\thequestion{\arabic{question}}

\newenvironment{probleme}[1]%
{\setcounter{question}{1}
\stepcounter{probleme}
\subsection*{\theprobleme. #1}}%
{}


\newcounter{excounter}
\newcounter{questcounter}[excounter]
\newenvironment{exer}[1][]%
{%
  \setcounter{question}{1}%
  \stepcounter{excounter}%
  \vspace*{0.6cm}\noindent { \texttt{{\bf Exercice \arabic{excounter}} #1}}\\
}{%
  \vspace{.3cm}%
}



\newenvironment{question}[1][]{\setcounter{numsubquestion}{1}%
\vspace*{0.5cm}\noindent{\bf {\large\theexcounter.\thequestion}. #1}}%
{\stepcounter{question}\medskip}

\newcounter{numdef}
\setcounter{numdef}{0}




\newenvironment{Def}[2]{%
\definecolor{shadecolor}{gray}{0.90}
\begin{shaded}\refstepcounter{numdef}%\vspace*{0.1cm}
    \noindent{ {\label{#2}\bf Définition}~: {\it #1}} \\}%
{\end{shaded}\medskip}


\newenvironment{Th}[1]{%
\begin{framed}\vspace*{0.1cm}\noindent{ {\bf Théorème (#1)} :} \\}%
{\end{framed}}

\newenvironment{Lemma}[1]{%
\begin{framed}%\vspace*{0.1cm}
    \noindent{ {\bf Lemme (#1)} :} \\}%
{\end{framed}}


\newenvironment{Prop}[0]{%
\begin{framed}\vspace*{0.1cm}\noindent{ {\bf Proposition} :} \\}%
{\end{framed}}



\newcounter{numsubquestion}
\setcounter{numsubquestion}{1}
\newenvironment{subquestion}{\setcounter{numsubsubquestion}{1}%
\vspace*{0.2cm}\noindent{ {\bf\theexcounter.\thequestion . \thenumsubquestion}}.}%
{\stepcounter{numsubquestion}\medskip}


\newcounter{numsubsubquestion}
\newenvironment{subsubquestion}{\vspace*{0.1cm}\noindent{ {\bf\theexcounter.\thequestion.\thenumsubquestion.\thenumsubsubquestion}}.}%
{\stepcounter{numsubsubquestion}\medskip}


\let\bfseriesaux=\bfseries%
\renewcommand{\bfseries}{\sffamily \bfseriesaux}

\def\|{\leavevmode\url|}



\newenvironment{remarque}%
{\subparagraph{Remarque.}}%
{}

\newenvironment{programme}%
{\verbatim}{\endverbatim}

\newboolean{corrige} 

\setlength{\parindent}{0cm}

\newsavebox{\majbox}
\newlength{\majhaut}
\newenvironment{solution}{\color[gray]{0.5}%
  \begin{lrbox}{\majbox}
    \begin{minipage}[b]{.9\textwidth}}{%
   \end{minipage}
  \end{lrbox}
  \settoheight{\majhaut}{\usebox{\majbox}}
   \addtolength{\majhaut}{0.3mm}
  \ifthenelse{\boolean{corrige}}{%
    \rule{1mm}{\majhaut}\hspace*{2mm}\usebox{\majbox}}{}}

\newcommand{\st}{\ |\ }

\renewcommand\geq\geqslant
\renewcommand\leq\leqslant