\documentclass[a4paper, 12pt, landscape]{exam}

\usepackage[left=1.5cm,right=1.5cm,top=1cm,bottom=1cm]{geometry}

\usepackage[utf8]{inputenc}
\usepackage{fontspec}
\usepackage{amsmath, amsfonts, amssymb, amsthm}
\usepackage{graphicx}
\usepackage{xcolor}
\usepackage{multicol}
\usepackage{enumitem}
\usepackage{mathrsfs}
\usepackage{colortbl}
\usepackage{tcolorbox,varwidth}

\tcbuselibrary{skins,breakable}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{shadows}
\usepackage{tabularx, array}
\usepackage{setspace}
\usepackage{hyperref}
\hypersetup{
    colorlinks=true,
    urlcolor=magenta
}



% French language support
\usepackage[french]{babel}

% Bottom message in Arabic requires bidi package
\usepackage{bidi}
\newfontfamily\arabicfont[Script=Arabic,Scale=1.1]{Amiri}

% Two-page layout (conditionally included)



% --- Colors ---
\definecolor{maroon}{cmyk}{0,0.87,0.68,0.32}
\definecolor{pBlue}{RGB}{102, 53, 153}

\definecolor{myblue}{HTML}{1D2A6E}
\definecolor{myred}{HTML}{A97E77}
\definecolor{mybrown}{HTML}{B35823}
\definecolor{gold}{HTML}{B48920}
\definecolor{myorange}{HTML}{ED8C2B}
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\definecolor{JungleGreen}{HTML}{29AB87}

\definecolor{myblue3}{RGB}{36, 57, 126}
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\colorlet{myblue3}{red!75!black}

\definecolor{lightgray}{gray}{0.6}
\definecolor{arrowblue}{RGB}{0,140,180}
\definecolor{bannerblue}{RGB}{210,240,240}

% --- Basic Settings ---
% Language variables for French exams
\def\professor{R. MOSAID}  % Should be R. MOSAID not {{R. MOSAID}}
\def\classname{TCSF}
\def\examtitle{Devoir 02 - S01 \circled{A}}
\def\schoolname{\textbf{Lycée :} Taghzirt}
\def\academicyear{2025/2026}
\def\subject{Mathématiques}
\def\duration{2h}
\def\secondtitle{\small{visit ~~\wsite~~ for more!}}
\def\province{Direction provinciale\newline de Beni Mellal}
\def\logo{\includegraphics[width=\linewidth]{images/logo-men.png}}
\def\wsite{\href{https://www.mosaid.xyz}{\textcolor{magenta}{\texttt{www.mosaid.xyz}}}}
\def\ddate{\hfill \number\day/\number\month/\number\year~~}


% Exam-specific settings and custom definitions
% This file is generated in the current working directory
% Edit this file to customize your exam settings



% Define column type for centered cells
\newcolumntype{Y}{>{\centering\arraybackslash}X}
\newcolumntype{M}[1]{@{}>{\centering\arraybackslash}m{\#1}@{}}

\newcommand{\tb}{\tikz[baseline=-0.6ex]{\fill (0,0) circle (2pt);}~}

\newcommand{\ccc}[1]{
    \begin{tikzpicture}[overlay, remember picture]
        \node[circle, inner sep=3pt, draw=black, outer sep=0pt] at (0.5,0.2) {\#1};
    \end{tikzpicture}
}


\newcommand{\circled}[1]{%
  \tikz[baseline=(char.base)]{
    \node[shape=circle,draw,inner sep=1pt, font=\bf] (char) {\#1};}%
}



% Document spacing
\setstretch{1.3}

% Math display style
\everymath{\displaystyle}

\mathversion{bold}

%\AtBeginDocument{\fontsize{15}{17}\selectfont}

%\newcommand{\fff}[1]{\makebox[#1cm]{\dotfill}}

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    parsep=0pt,
    partopsep=0pt,
    before=\vspace{-2pt},   % reduce space before
    after=\vspace{-2pt}     % reduce space after
}



% Custom theorem environments (uncomment if needed)
% \newtheorem{theorem}{Theorem}
% \newtheorem{lemma}{Lemma}
% \newtheorem{corollary}{Corollary}

% Custom exercise environments (uncomment if needed)
% \newenvironment{solution}{\begin{proof}[Solution]}{\end{proof}}
% \newenvironment{remark}{\begin{proof}[Remark]}{\end{proof}}

% Custom commands for this exam (add your own below)
% \newcommand{\answerline}[1]{\underline{\hspace{\#1}}}
% \newcommand{\points}[1]{\hfill(\mbox{\#1 points})}

% Additional packages (uncomment if needed)
% \usepackage{siunitx} % For SI units
% \usepackage{chemformula} % For chemical formulas
% \usepackage{circuitikz} % For circuit diagrams

% Page layout adjustments
% \setlength{\parindent}{0pt}
% \setlength{\parskip}{1em}

% Custom colors for this exam
% \definecolor{myblue}{RGB}{0,100,200}
% \definecolor{mygreen}{RGB}{0,150,0}

% ----------------------------------------------------------------------
% ADD YOUR CUSTOM DEFINITIONS BELOW THIS LINE
% ----------------------------------------------------------------------

% Example:
\newcommand{\dif}{\mathrm{d}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\C}{\mathbb{C}}

% Exam settings
\pointsinmargin
\pointname{}
\pointformat{\textcolor{red}{\circled{\thepoints}}}
\colorfillwithdottedlines
\definecolor{FillWithDottedLinesColor}{gray}{0.7}
\unframedsolutions
\renewcommand{\solutiontitle}{\noindent\textbf{\textcolor{green!70!black}{Solution}}\enspace}
\SolutionEmphasis{\itshape\small}
\SolutionEmphasis{\color{red}}


% Exercise Theme 1: TikZ shadow title
\newcommand{\exothemeone}[1]{%
\par\vspace{0pt}\noindent\leavevmode
\begin{tikzpicture}[baseline=(text.base)]
    \node[] (text) at (0,0) {\textbf{\#1}};
    \fill[black] ([xshift=0.1cm, yshift=-0.1cm]text.south west)
                 rectangle ([xshift=0.1cm, yshift=-0.1cm]text.north east);
    \draw[fill=white] (text.south west) rectangle (text.north east);
    \node[] at (text) {\textbf{\#1}};
\end{tikzpicture}\\[0.2cm]
}

\newcommand{\printexo}[3]{%
  \if\relax\detokenize{\#2}\relax
    \def\fulltitle{Exercice #1}%
  \else
    \def\fulltitle{Exercice #1~#2}%
  \fi
  \exothemeone{\fulltitle}%
  \noindent #3%
  \vspace{0.2cm}%
}



\begin{document}
\pagestyle{empty}

% Two-column layout
    \setlength{\columnsep}{2cm}
    \setlength{\columnseprule}{2pt}
    \renewcommand{\columnseprulecolor}{\color{black}}
    \begin{multicols}{2}[\raggedcolumns]
    \vspace*{-\topskip}
% Header for first column in landscape mode
\noindent\begin{tabularx}{\linewidth}{@{}YYY@{}}
  \schoolname & \examtitle & \academicyear \\
  Prof: \professor & \classname & Dur\'ee: \duration \\
  \hline
\end{tabularx}\\[0.3cm]

\vspace*{-0.5cm}
% Exercise 1 (originally 1)
\printexo{1}{~$: 1 \times 21 = 21~ pts$~}{
% Exercise 1
\vspace*{-0.3cm}
\begin{questions}
    \question[2] Calculer ~$A=\frac{2+\frac{1}{2}}{2-\frac{1}{2}}$~
    et Simplifier ~$B=2\sqrt{45}-3\sqrt5+\sqrt{125}$~
    \question[1] Rendre le dénominateur rationel  ~$C=\frac{1}{1+\sqrt2}$~
    \question[1] Calculer et simplifier $D = \frac{3 \cdot 10^{-3} \cdot \left( 2 \cdot 10^{-6} \right)^2}{15 \cdot \left( 10^2 \right)^{-3}}$
    \question[2]  Développer ~$E=\left( 2\sqrt{3} - 3\sqrt{2} \right)^3$~
    \quad ;\quad  ~$F=x(x-2)(x-3)$~
    \question[2]  Factoriser ~$G=x^2+2x+1$~
    \quad ;\quad  ~$H=x^3+1$~
    \question[3]  Résoudre ~$|3x-3|=7$~
     \quad ; \quad ~$|x+5|=0$~
     \quad ; \quad ~$|2x|=|x-1|$~
    \question[3]  Résoudre ~$|3x-3|<7$~
    \quad ;\quad  ~$|6-4x|< 0$~
     \quad ;\quad ~$|4-2x|\ge 3$~
    \question[1]  Ecrire sous forme d'intervalle : ~$I=\{x\in\R~/~|x-2|<3\}$~
    \question[1]  Ecrire sous forme d'intervalle : ~$J=\{x\in\R~/~|x-1|>1\}$~
    \question[1]  Déterminer ~$I\cup J$~ et ~$I\cap J$~
    \question  Dans un repère orthonormé $(O; \vec i, \vec j)$\\ Soient les points ~$A(5,-3)$~, ~$B(3,-1)$~ et ~$C(2,-3)$~
    \begin{parts}
      \part[1]  Déterminer les coordonnées de ~$\overrightarrow{AB}$~ et  ~$\overrightarrow{AC}$~
      \part[1]  Est ce que les points ~$A$~, ~$B$~ et ~$C$~ sont alignés?
      \part[1]  Donner une représentation paramétrique de la droite ~$(AB)$~
    \end{parts}
\end{questions}
}

\columnbreak
% Header for second column in landscape mode
\noindent\begin{tabularx}{\linewidth}{@{}YYY@{}}
  \schoolname & \examtitle & \academicyear \\
  Prof: \professor & \classname & Dur\'ee: \duration \\
  \hline
\end{tabularx}\\[0.3cm]


\vspace*{-0.5cm}
% Repeated Exercise 1 (originally 1)
\printexo{1}{~$: 1 \times 21 = 21~ pts$~}{
% Exercise 1
\vspace*{-0.3cm}
\begin{questions}
    \question[2] Calculer ~$A=\frac{2+\frac{1}{2}}{2-\frac{1}{2}}$~
    et Simplifier ~$B=2\sqrt{45}-3\sqrt5+\sqrt{125}$~
    \question[1] Rendre le dénominateur rationel  ~$C=\frac{1}{1+\sqrt2}$~
    \question[1] Calculer et simplifier $D = \frac{3 \cdot 10^{-3} \cdot \left( 2 \cdot 10^{-6} \right)^2}{15 \cdot \left( 10^2 \right)^{-3}}$
    \question[2]  Développer ~$E=\left( 2\sqrt{3} - 3\sqrt{2} \right)^3$~
    \quad ;\quad  ~$F=x(x-2)(x-3)$~
    \question[2]  Factoriser ~$G=x^2+2x+1$~
    \quad ;\quad  ~$H=x^3+1$~
    \question[3]  Résoudre ~$|3x-3|=7$~
     \quad ; \quad ~$|x+5|=0$~
     \quad ; \quad ~$|2x|=|x-1|$~
    \question[3]  Résoudre ~$|3x-3|<7$~
    \quad ;\quad  ~$|6-4x|< 0$~
     \quad ;\quad ~$|4-2x|\ge 3$~
    \question[1]  Ecrire sous forme d'intervalle : ~$I=\{x\in\R~/~|x-2|<3\}$~
    \question[1]  Ecrire sous forme d'intervalle : ~$J=\{x\in\R~/~|x-1|>1\}$~
    \question[1]  Déterminer ~$I\cup J$~ et ~$I\cap J$~
    \question  Dans un repère orthonormé $(O; \vec i, \vec j)$\\ Soient les points ~$A(5,-3)$~, ~$B(3,-1)$~ et ~$C(2,-3)$~
    \begin{parts}
      \part[1]  Déterminer les coordonnées de ~$\overrightarrow{AB}$~ et  ~$\overrightarrow{AC}$~
      \part[1]  Est ce que les points ~$A$~, ~$B$~ et ~$C$~ sont alignés?
      \part[1]  Donner une représentation paramétrique de la droite ~$(AB)$~
    \end{parts}
\end{questions}
}

\end{multicols}
% Bottom message
\vspace*{-1cm}
\begin{multicols}{2}
  \vspace*{-0.5cm}
\begin{center}
  \normalsize{%
    \vskip 3pt \hrule height 2pt \vskip 2pt
    \RL{\arabicfont
    ﴿وَلَقَدْ بَعَثْنَا فِى كُلِّ أُمَّةٍ رَّسُولًا أَنِ ٱعْبُدُوا۟ ٱللَّهَ وَٱجْتَنِبُوا۟ ٱلطَّـٰغُوتَ ۖ فَمِنْهُم مَّنْ هَدَى ٱللَّهُ وَمِنْهُم مَّنْ حَقَّتْ عَلَيْهِ ٱلضَّلَـٰلَةُ ۚ فَسِيرُوا۟ فِى ٱلْأَرْضِ فَٱنظُرُوا۟ كَيْفَ كَانَ عَـٰقِبَةُ ٱلْمُكَذِّبِينَ﴾ (النحل 36)
    }%
  }%
\end{center}
\columnbreak
  \vspace*{-0.5cm}
\begin{center}
  \normalsize{%
    \vskip 3pt \hrule height 2pt \vskip 2pt
    \RL{\arabicfont
    ﴿وَلَقَدْ بَعَثْنَا فِى كُلِّ أُمَّةٍ رَّسُولًا أَنِ ٱعْبُدُوا۟ ٱللَّهَ وَٱجْتَنِبُوا۟ ٱلطَّـٰغُوتَ ۖ فَمِنْهُم مَّنْ هَدَى ٱللَّهُ وَمِنْهُم مَّنْ حَقَّتْ عَلَيْهِ ٱلضَّلَـٰلَةُ ۚ فَسِيرُوا۟ فِى ٱلْأَرْضِ فَٱنظُرُوا۟ كَيْفَ كَانَ عَـٰقِبَةُ ٱلْمُكَذِّبِينَ﴾ (النحل 36)
    }%
  }%
\end{center}
\end{multicols}

\end{document}