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

\usepackage[left=1.00cm, right=1.00cm, top=1cm, bottom=1.50cm]{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}
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\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{C}}
\def\schoolname{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}@{}}

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        \node[circle, inner sep=3pt, draw=black, outer sep=0pt] at (0.5,0.2) {\#1};
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\newcommand{\circled}[1]{%
  \tikz[baseline=(char.base)]{
    \node[shape=circle,draw,inner sep=1pt, font=\bf] (char) {\#1};}%
}



% Document spacing
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% Math display style
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\mathversion{bold}

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% 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)
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\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}%
}

% --- Exam Header Style 4 (fr) ---
\newcommand{\headerstylefour}{\begin{tabularx}{\linewidth}{@{}YYY@{}}
  \schoolname & \examtitle & \academicyear \\
  Prof: \professor & \classname & Dur\'ee: \duration \\
  \hline
\end{tabularx}\\[0.3cm]}

\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\headerstylefour

\vspace*{-0.5cm}
% Exercise 1 (originally 1)
\printexo{1}{: (10 points)}{
Dans un plan associé à un repère orthonormé \((O; \vec{i}; \vec{j})\),
on considère le point \(A(-2; 1)\) et le vecteur \(\vec{u}(1; 2)\).\\
Soit $(D)$ la droite définie par l'équation cartésienne :~ $2x - 3y + 1 = 0$
\begin{questions}
  \question[2] Déterminer une équation cartésienne de la droite \((\Delta)\) passant par \(A\) et dirigée par \(\vec{u}\).
  \question[3] Donner deux points appartenant à la droite \((D)\) et un vecteur directeur.
  \question[2] est ce que ~$(D)$~ et ~$(D')$~ sont parallèles?, justifier., si non, determiner leurs point d'intersection
  \question[3] Tracer la figure
\end{questions}
}

% Exercise 2 (originally 2)
\printexo{2}{: (10 points)}{
% Exercise 2
\vspace*{-0.5cm}
\begin{questions}
  \question[3] Développer ~$\Big(2x-1\Big)^3$~ \quad et \quad  ~$(2-\sqrt3)(3-\sqrt2)(2+\sqrt3)$~
    \question[4] Soient $1\le x \le 4$ ~ et ~ $-2\le x \le 3$. \\encadrer $A=x^2-3y^2+5x-3y+4$
    \question[2] Résoudre dans ~$\R$~ : ~$|x+3|=3$~ \quad ;\quad ~$|x+1|-|2-3x|=0$~
    \question[1] determiner les nombres reels qui ont la meme distance à ~$2$ et à ~$-3$
\end{questions}
}

\columnbreak
% Header for second column in landscape mode
\noindent\headerstylefour


\noprintanswers
\vspace*{-0.5cm}
% Repeated Exercise 1 (originally 1)
\printexo{1}{: (10 points)}{
Dans un plan associé à un repère orthonormé \((O; \vec{i}; \vec{j})\),
on considère le point \(A(-2; 1)\) et le vecteur \(\vec{u}(1; 2)\).\\
Soit $(D)$ la droite définie par l'équation cartésienne :~ $2x - 3y + 1 = 0$
\begin{questions}
  \question[2] Déterminer une équation cartésienne de la droite \((\Delta)\) passant par \(A\) et dirigée par \(\vec{u}\).
  \question[3] Donner deux points appartenant à la droite \((D)\) et un vecteur directeur.
  \question[2] est ce que ~$(D)$~ et ~$(D')$~ sont parallèles?, justifier., si non, determiner leurs point d'intersection
  \question[3] Tracer la figure
\end{questions}
}

% Repeated Exercise 2 (originally 2)
\printexo{2}{: (10 points)}{
% Exercise 2
\vspace*{-0.5cm}
\begin{questions}
  \question[3] Développer ~$\Big(2x-1\Big)^3$~ \quad et \quad  ~$(2-\sqrt3)(3-\sqrt2)(2+\sqrt3)$~
    \question[4] Soient $1\le x \le 4$ ~ et ~ $-2\le x \le 3$. \\encadrer $A=x^2-3y^2+5x-3y+4$
    \question[2] Résoudre dans ~$\R$~ : ~$|x+3|=3$~ \quad ;\quad ~$|x+1|-|2-3x|=0$~
    \question[1] determiner les nombres reels qui ont la meme distance à ~$2$ et à ~$-3$
\end{questions}
}

\end{multicols}
% Bottom message
\begin{multicols}{2}
\begin{center}
  \normalsize{%
    \vskip 3pt \hrule height 3pt \vskip 3pt
    \RL{\arabicfont
    ﴿وَمَا بِكُم مِّن نِّعْمَةٍ فَمِنَ ٱللَّهِ ۖ ثُمَّ إِذَا مَسَّكُمُ ٱلضُّرُّ فَإِلَيْهِ تَجْـَٔرُونَ (53)•  ثُمَّ إِذَا كَشَفَ ٱلضُّرَّ عَنكُمْ إِذَا فَرِيقٌ مِّنكُم بِرَبِّهِمْ يُشْرِكُونَ (54)•  لِيَكْفُرُوا۟ بِمَآ ءَاتَيْنَـٰهُمْ ۚ فَتَمَتَّعُوا۟ ۖ فَسَوْفَ تَعْلَمُونَ (55)• ﴾ (النحل الآيات 53-55)
    }%
  }%
\end{center}
\columnbreak
\begin{center}
  \normalsize{%
    \vskip 3pt \hrule height 3pt \vskip 3pt
    \RL{\arabicfont
    ﴿وَمَا بِكُم مِّن نِّعْمَةٍ فَمِنَ ٱللَّهِ ۖ ثُمَّ إِذَا مَسَّكُمُ ٱلضُّرُّ فَإِلَيْهِ تَجْـَٔرُونَ (53)•  ثُمَّ إِذَا كَشَفَ ٱلضُّرَّ عَنكُمْ إِذَا فَرِيقٌ مِّنكُم بِرَبِّهِمْ يُشْرِكُونَ (54)•  لِيَكْفُرُوا۟ بِمَآ ءَاتَيْنَـٰهُمْ ۚ فَتَمَتَّعُوا۟ ۖ فَسَوْفَ تَعْلَمُونَ (55)• ﴾ (النحل الآيات 53-55)
    }%
  }%
\end{center}
\end{multicols}

\end{document}