\documentclass[a4paper,11pt]{article}

\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage[french]{babel}
\usepackage[a4paper,top=3.2cm,bottom=2cm,left=2cm,right=2cm]{geometry}
\usepackage{graphicx}
\usepackage[export]{adjustbox}
\usepackage{fancyhdr}
\usepackage{qrcode}
\usepackage[table]{xcolor}
\usepackage{amsmath,amssymb}
\usepackage{enumitem}
% Puces nettes (babel-french remplace sinon la puce par un tiret « – » peu pro).
% Vaut pour TOUTES les fiches qui importent ce module. AtBeginDocument pour
% passer après la personnalisation des listes faite par babel-french.
\AtBeginDocument{%
  \setlist[itemize]{leftmargin=1.8em,itemsep=0.5ex,topsep=0.4ex,parsep=0pt}%
  \setlist[itemize,1]{label=\textcolor{red!75!black}{\small\textbullet}}%
  \setlist[itemize,2]{label=\textcolor{red!75!black}{\scriptsize\textbullet}}%
}
% Titres compacts (gain de place vertical, fiches plus denses) — vaut pour tous.
\usepackage{titlesec}
\titlespacing*{\section}{0pt}{1.4ex}{0.6ex}
\titlespacing*{\subsection}{0pt}{1.0ex}{0.3ex}
% multicol : listes denses (calcul mental) sur 2 colonnes — neutre tant qu'il
% n'est pas utilisé, dispo pour tous les générateurs.
\usepackage{multicol}
\setlength{\columnsep}{1.5em}
% needspace : empêche un titre d'exercice de rester orphelin en bas de page
% (réserve quelques lignes ; sinon le titre passe à la page suivante avec sa
% liste). Neutre tant qu'il n'est pas appelé — dispo pour tous les générateurs.
\usepackage{needspace}
\usepackage{tikz}
\usetikzlibrary{decorations.text}

\usepackage{tgheros}
\pagestyle{fancy}
\fancyhf{}
\setlength{\headheight}{75pt}
\setlength{\headsep}{10pt}

\newcommand{\logowouf}{%
\begin{tikzpicture}[baseline={(current bounding box.center)},scale=0.55,
                    line cap=round,line join=round]
    \path[use as bounding box] (-2.20,-1.45) rectangle (2.20,2.20);
    \path[
        postaction={decorate},
        decoration={
            text along path,
            text={|\fontfamily{qhv}\bfseries\fontsize{9}{9}\selectfont|site2wouf.fr},
            text align={center},
            raise=0.03ex
        }
    ] (-1.29,0.48) arc[start angle=160,end angle=20,radius=1.29];
    \begin{scope}[xshift=-0.06cm]
        \fill[black] (-0.66,0.14) ellipse (0.21 and 0.31);
        \fill[black] ( 0.66,0.14) ellipse (0.21 and 0.31);
        \fill[black] (-0.23,0.49) ellipse (0.22 and 0.35);
        \fill[black] ( 0.23,0.49) ellipse (0.22 and 0.35);
        \fill[black]
            (0,-0.10)
            .. controls (-0.36,-0.02) and (-0.63,-0.24) .. (-0.58,-0.58)
            .. controls (-0.52,-0.93) and (-0.16,-1.12) .. (0,-0.90)
            .. controls (0.16,-1.12) and (0.52,-0.93) .. (0.58,-0.58)
            .. controls (0.63,-0.24) and (0.36,-0.02) .. (0,-0.10)
            -- cycle;
    \end{scope}
\end{tikzpicture}%
}
\DeclareUnicodeCharacter{2460}{\textcircled{\scriptsize 1}}
\DeclareUnicodeCharacter{2461}{\textcircled{\scriptsize 2}}
\DeclareUnicodeCharacter{2462}{\textcircled{\scriptsize 3}}
\DeclareUnicodeCharacter{2463}{\textcircled{\scriptsize 4}}
\DeclareUnicodeCharacter{2464}{\textcircled{\scriptsize 5}}
\DeclareUnicodeCharacter{2465}{\textcircled{\scriptsize 6}}
\DeclareUnicodeCharacter{2466}{\textcircled{\scriptsize 7}}
\DeclareUnicodeCharacter{2467}{\textcircled{\scriptsize 8}}
\DeclareUnicodeCharacter{2468}{\textcircled{\scriptsize 9}}
\DeclareUnicodeCharacter{2469}{\textcircled{\scriptsize 10}}
\DeclareUnicodeCharacter{246A}{\textcircled{\scriptsize 11}}
\DeclareUnicodeCharacter{246B}{\textcircled{\scriptsize 12}}
\DeclareUnicodeCharacter{246C}{\textcircled{\scriptsize 13}}
\DeclareUnicodeCharacter{246D}{\textcircled{\scriptsize 14}}
\DeclareUnicodeCharacter{246E}{\textcircled{\scriptsize 15}}
\DeclareUnicodeCharacter{246F}{\textcircled{\scriptsize 16}}
\DeclareUnicodeCharacter{2470}{\textcircled{\scriptsize 17}}
\DeclareUnicodeCharacter{2471}{\textcircled{\scriptsize 18}}
\DeclareUnicodeCharacter{2472}{\textcircled{\scriptsize 19}}
\DeclareUnicodeCharacter{2473}{\textcircled{\scriptsize 20}}
\DeclareUnicodeCharacter{24B6}{\textcircled{\scriptsize A}}
\DeclareUnicodeCharacter{24B7}{\textcircled{\scriptsize B}}
\DeclareUnicodeCharacter{24B8}{\textcircled{\scriptsize C}}
\DeclareUnicodeCharacter{24B9}{\textcircled{\scriptsize D}}
\DeclareUnicodeCharacter{24BA}{\textcircled{\scriptsize E}}
\DeclareUnicodeCharacter{24BB}{\textcircled{\scriptsize F}}
\DeclareUnicodeCharacter{24BC}{\textcircled{\scriptsize G}}
\DeclareUnicodeCharacter{24BD}{\textcircled{\scriptsize H}}
\DeclareUnicodeCharacter{24BE}{\textcircled{\scriptsize I}}
\DeclareUnicodeCharacter{24BF}{\textcircled{\scriptsize J}}
\DeclareUnicodeCharacter{24C0}{\textcircled{\scriptsize K}}
\DeclareUnicodeCharacter{24C1}{\textcircled{\scriptsize L}}
\DeclareUnicodeCharacter{24C2}{\textcircled{\scriptsize M}}
\DeclareUnicodeCharacter{24C3}{\textcircled{\scriptsize N}}
\DeclareUnicodeCharacter{24C4}{\textcircled{\scriptsize O}}
\DeclareUnicodeCharacter{24C5}{\textcircled{\scriptsize P}}
\DeclareUnicodeCharacter{24C6}{\textcircled{\scriptsize Q}}
\DeclareUnicodeCharacter{24C7}{\textcircled{\scriptsize R}}
\DeclareUnicodeCharacter{24C8}{\textcircled{\scriptsize S}}
\DeclareUnicodeCharacter{24C9}{\textcircled{\scriptsize T}}
\DeclareUnicodeCharacter{24CA}{\textcircled{\scriptsize U}}
\DeclareUnicodeCharacter{24CB}{\textcircled{\scriptsize V}}
\DeclareUnicodeCharacter{24CC}{\textcircled{\scriptsize W}}
\DeclareUnicodeCharacter{24CD}{\textcircled{\scriptsize X}}
\DeclareUnicodeCharacter{24CE}{\textcircled{\scriptsize Y}}
\DeclareUnicodeCharacter{24CF}{\textcircled{\scriptsize Z}}
\DeclareUnicodeCharacter{24D0}{\textcircled{\scriptsize a}}
\DeclareUnicodeCharacter{24D1}{\textcircled{\scriptsize b}}
\DeclareUnicodeCharacter{24D2}{\textcircled{\scriptsize c}}
\DeclareUnicodeCharacter{24D3}{\textcircled{\scriptsize d}}
\DeclareUnicodeCharacter{24D4}{\textcircled{\scriptsize e}}
\DeclareUnicodeCharacter{24D5}{\textcircled{\scriptsize f}}
\DeclareUnicodeCharacter{24D6}{\textcircled{\scriptsize g}}
\DeclareUnicodeCharacter{24D7}{\textcircled{\scriptsize h}}
\DeclareUnicodeCharacter{24D8}{\textcircled{\scriptsize i}}
\DeclareUnicodeCharacter{24D9}{\textcircled{\scriptsize j}}

\newcommand{\titre}{Le car de ramassage}
\newcommand{\soustitre}{Probl\`eme --- Fiche n\textdegree 362}

\fancyhead[C]{%
\raisebox{4pt}{%
\begin{minipage}[c]{0.15\textwidth}
    \centering
    \logowouf
\end{minipage}
\begin{minipage}[c]{0.62\textwidth}
    \centering
    {\Large\bfseries \titre\par}
    {\small\color{gray} \soustitre}
\end{minipage}
\begin{minipage}[c]{0.21\textwidth}
    \centering
    \qrcode[height=1.5cm]{https://site2wouf.fr/car_de_ramassage.php?x=362}\\[2pt]
    {\small\ttfamily\bfseries\color{red} HAMI0362}
\end{minipage}%
}
}

\begin{document}

\begin{center}
    \small Un car de ramassage doit s'arrêter à chaque carrefour d'un quartier, une fois et une seule. Selon le plan c'est possible ou non — et un simple coloriage permet souvent de le dire d'avance, sans essayer.
\end{center}
\vspace{0.5em}
\sloppy
\needspace{5\baselineskip}
\subsection*{\textcolor{red}{Le car de ramassage}}
\needspace{3\baselineskip}
\begin{center}
\begin{tikzpicture}[scale=0.6161, line join=round, line cap=round]
\draw[line width=0.5pt] (7.586,11.507) -- (7.789,11.422) -- (7.993,11.342) -- (8.2,11.267) -- (8.408,11.196) -- (8.618,11.131) -- (8.829,11.07) -- (9.042,11.015) -- (9.256,10.964) -- (9.471,10.919) -- (9.687,10.878) -- (9.903,10.843) -- (10.121,10.813) -- (10.339,10.787) -- (10.558,10.768);
\draw[line width=0.5pt] (7.586,11.507) -- (7.591,11.222) -- (7.589,10.937) -- (7.58,10.652) -- (7.565,10.367) -- (7.543,10.082) -- (7.514,9.798) -- (7.478,9.515) -- (7.436,9.232) -- (7.387,8.951) -- (7.332,8.671) -- (7.27,8.392) -- (7.201,8.115) -- (7.126,7.84) -- (7.045,7.567);
\draw[line width=0.5pt] (4.437,11.372) -- (4.662,11.347) -- (4.887,11.327) -- (5.113,11.313) -- (5.339,11.304) -- (5.565,11.301) -- (5.791,11.302) -- (6.017,11.309) -- (6.243,11.322) -- (6.469,11.339) -- (6.694,11.362) -- (6.918,11.391) -- (7.142,11.424) -- (7.365,11.463) -- (7.586,11.507);
\draw[line width=0.5pt] (4.437,11.372) -- (4.453,11.15) -- (4.463,10.928) -- (4.469,10.706) -- (4.469,10.484) -- (4.463,10.262) -- (4.453,10.04) -- (4.437,9.818) -- (4.416,9.596) -- (4.39,9.376) -- (4.359,9.155) -- (4.323,8.936) -- (4.281,8.718) -- (4.234,8.501) -- (4.183,8.285);
\draw[line width=0.5pt] (10.558,10.768) -- (10.555,10.57) -- (10.556,10.371) -- (10.562,10.173) -- (10.573,9.975) -- (10.589,9.778) -- (10.609,9.58) -- (10.634,9.383) -- (10.663,9.187) -- (10.697,8.992) -- (10.736,8.797) -- (10.779,8.604) -- (10.827,8.411) -- (10.879,8.22) -- (10.936,8.03);
\draw[line width=0.5pt] (4.183,8.285) -- (4.393,8.265) -- (4.603,8.241) -- (4.813,8.211) -- (5.022,8.177) -- (5.23,8.137) -- (5.437,8.093) -- (5.643,8.044) -- (5.848,7.99) -- (6.052,7.931) -- (6.254,7.868) -- (6.454,7.8) -- (6.653,7.727) -- (6.85,7.649) -- (7.045,7.567);
\draw[line width=0.5pt] (4.183,8.285) -- (4.123,8.036) -- (4.07,7.785) -- (4.023,7.534) -- (3.981,7.281) -- (3.946,7.027) -- (3.916,6.773) -- (3.893,6.518) -- (3.875,6.262) -- (3.864,6.007) -- (3.858,5.75) -- (3.859,5.494) -- (3.865,5.238) -- (3.878,4.983) -- (3.897,4.728);
\draw[line width=0.5pt] (10.936,8.03) -- (10.926,7.786) -- (10.911,7.542) -- (10.89,7.299) -- (10.863,7.056) -- (10.831,6.813) -- (10.793,6.572) -- (10.749,6.331) -- (10.7,6.091) -- (10.645,5.853) -- (10.584,5.616) -- (10.518,5.381) -- (10.446,5.147) -- (10.369,4.915) -- (10.287,4.685);
\draw[line width=0.5pt] (7.045,7.567) -- (7.326,7.557) -- (7.607,7.554) -- (7.888,7.558) -- (8.169,7.568) -- (8.449,7.585) -- (8.73,7.608) -- (9.009,7.638) -- (9.288,7.675) -- (9.566,7.718) -- (9.843,7.767) -- (10.118,7.823) -- (10.393,7.886) -- (10.665,7.955) -- (10.936,8.03);
\draw[line width=0.5pt] (7.045,7.567) -- (7.08,7.409) -- (7.112,7.25) -- (7.14,7.091) -- (7.164,6.931) -- (7.184,6.77) -- (7.2,6.609) -- (7.213,6.448) -- (7.222,6.286) -- (7.227,6.124) -- (7.228,5.962) -- (7.226,5.8) -- (7.219,5.639) -- (7.209,5.477) -- (7.195,5.316);
\draw[line width=0.5pt] (7.195,5.316) -- (7.407,5.237) -- (7.621,5.164) -- (7.837,5.095) -- (8.054,5.032) -- (8.273,4.974) -- (8.494,4.921) -- (8.715,4.873) -- (8.937,4.83) -- (9.161,4.793) -- (9.385,4.761) -- (9.61,4.734) -- (9.835,4.712) -- (10.061,4.696) -- (10.287,4.685);
\draw[line width=0.5pt] (7.195,5.316) -- (7.235,5.05) -- (7.269,4.784) -- (7.297,4.516) -- (7.318,4.248) -- (7.333,3.98) -- (7.342,3.711) -- (7.345,3.442) -- (7.341,3.173) -- (7.33,2.904) -- (7.314,2.636) -- (7.291,2.368) -- (7.262,2.101) -- (7.227,1.834) -- (7.185,1.569);
\draw[line width=0.5pt] (3.897,4.728) -- (4.137,4.733) -- (4.377,4.744) -- (4.617,4.761) -- (4.856,4.784) -- (5.095,4.812) -- (5.333,4.846) -- (5.57,4.886) -- (5.806,4.931) -- (6.041,4.981) -- (6.275,5.037) -- (6.508,5.099) -- (6.739,5.166) -- (6.968,5.238) -- (7.195,5.316);
\draw[line width=0.5pt] (3.897,4.728) -- (3.927,4.545) -- (3.952,4.362) -- (3.974,4.178) -- (3.991,3.994) -- (4.004,3.809) -- (4.012,3.624) -- (4.016,3.439) -- (4.016,3.254) -- (4.012,3.069) -- (4.003,2.884) -- (3.989,2.699) -- (3.972,2.515) -- (3.95,2.331) -- (3.923,2.148);
\draw[line width=0.5pt] (10.287,4.685) -- (10.31,4.451) -- (10.339,4.217) -- (10.373,3.984) -- (10.413,3.752) -- (10.458,3.521) -- (10.509,3.291) -- (10.565,3.062) -- (10.627,2.835) -- (10.694,2.609) -- (10.766,2.385) -- (10.843,2.162) -- (10.926,1.942) -- (11.013,1.723) -- (11.106,1.507);
\draw[line width=0.5pt] (3.923,2.148) -- (4.161,2.143) -- (4.398,2.132) -- (4.635,2.115) -- (4.872,2.093) -- (5.108,2.065) -- (5.343,2.032) -- (5.578,1.993) -- (5.812,1.949) -- (6.044,1.899) -- (6.275,1.844) -- (6.505,1.783) -- (6.733,1.717) -- (6.96,1.645) -- (7.185,1.569);
\draw[line width=0.5pt] (1.258,1.79) -- (1.45,1.786) -- (1.643,1.787) -- (1.836,1.792) -- (2.029,1.802) -- (2.221,1.816) -- (2.414,1.835) -- (2.605,1.859) -- (2.796,1.887) -- (2.987,1.919) -- (3.176,1.956) -- (3.365,1.997) -- (3.552,2.043) -- (3.738,2.093) -- (3.923,2.148);
\draw[line width=0.5pt] (7.185,1.569) -- (7.463,1.607) -- (7.743,1.639) -- (8.023,1.664) -- (8.304,1.683) -- (8.585,1.695) -- (8.867,1.701) -- (9.148,1.7) -- (9.429,1.692) -- (9.711,1.678) -- (9.991,1.657) -- (10.271,1.629) -- (10.551,1.595) -- (10.829,1.554) -- (11.106,1.507);
\filldraw[fill=red!16, draw=black, line width=0.5pt] (7.746,11.507) -- (7.725,11.587) -- (7.666,11.646) -- (7.586,11.667) -- (7.506,11.646) -- (7.448,11.587) -- (7.426,11.507) -- (7.448,11.427) -- (7.506,11.368) -- (7.586,11.347) -- (7.666,11.368) -- (7.725,11.427) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (4.597,11.372) -- (4.576,11.452) -- (4.517,11.51) -- (4.437,11.532) -- (4.357,11.51) -- (4.299,11.452) -- (4.277,11.372) -- (4.299,11.292) -- (4.357,11.233) -- (4.437,11.212) -- (4.517,11.233) -- (4.576,11.292) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (10.718,10.768) -- (10.696,10.848) -- (10.638,10.906) -- (10.558,10.928) -- (10.478,10.906) -- (10.419,10.848) -- (10.398,10.768) -- (10.419,10.688) -- (10.478,10.629) -- (10.558,10.608) -- (10.638,10.629) -- (10.696,10.688) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (4.343,8.285) -- (4.321,8.365) -- (4.263,8.423) -- (4.183,8.445) -- (4.103,8.423) -- (4.044,8.365) -- (4.023,8.285) -- (4.044,8.205) -- (4.103,8.146) -- (4.183,8.125) -- (4.263,8.146) -- (4.321,8.205) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (11.096,8.03) -- (11.074,8.11) -- (11.016,8.169) -- (10.936,8.19) -- (10.856,8.169) -- (10.797,8.11) -- (10.776,8.03) -- (10.797,7.95) -- (10.856,7.892) -- (10.936,7.87) -- (11.016,7.892) -- (11.074,7.95) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (7.205,7.567) -- (7.184,7.647) -- (7.125,7.706) -- (7.045,7.727) -- (6.965,7.706) -- (6.906,7.647) -- (6.885,7.567) -- (6.906,7.487) -- (6.965,7.428) -- (7.045,7.407) -- (7.125,7.428) -- (7.184,7.487) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (7.355,5.316) -- (7.334,5.396) -- (7.275,5.455) -- (7.195,5.476) -- (7.115,5.455) -- (7.057,5.396) -- (7.035,5.316) -- (7.057,5.236) -- (7.115,5.177) -- (7.195,5.156) -- (7.275,5.177) -- (7.334,5.236) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (4.057,4.728) -- (4.035,4.808) -- (3.977,4.866) -- (3.897,4.888) -- (3.817,4.866) -- (3.758,4.808) -- (3.737,4.728) -- (3.758,4.648) -- (3.817,4.589) -- (3.897,4.568) -- (3.977,4.589) -- (4.035,4.648) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (10.447,4.685) -- (10.425,4.765) -- (10.367,4.823) -- (10.287,4.845) -- (10.207,4.823) -- (10.148,4.765) -- (10.127,4.685) -- (10.148,4.605) -- (10.207,4.546) -- (10.287,4.525) -- (10.367,4.546) -- (10.425,4.605) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (4.083,2.148) -- (4.062,2.228) -- (4.003,2.286) -- (3.923,2.308) -- (3.843,2.286) -- (3.785,2.228) -- (3.763,2.148) -- (3.785,2.068) -- (3.843,2.009) -- (3.923,1.988) -- (4.003,2.009) -- (4.062,2.068) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (1.418,1.79) -- (1.396,1.87) -- (1.338,1.928) -- (1.258,1.95) -- (1.178,1.928) -- (1.119,1.87) -- (1.098,1.79) -- (1.119,1.71) -- (1.178,1.651) -- (1.258,1.63) -- (1.338,1.651) -- (1.396,1.71) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (7.345,1.569) -- (7.323,1.649) -- (7.265,1.707) -- (7.185,1.729) -- (7.105,1.707) -- (7.046,1.649) -- (7.025,1.569) -- (7.046,1.489) -- (7.105,1.43) -- (7.185,1.409) -- (7.265,1.43) -- (7.323,1.489) -- cycle;
\filldraw[fill=red!16, draw=black, line width=0.5pt] (11.266,1.507) -- (11.245,1.587) -- (11.186,1.646) -- (11.106,1.667) -- (11.026,1.646) -- (10.968,1.587) -- (10.946,1.507) -- (10.968,1.427) -- (11.026,1.368) -- (11.106,1.347) -- (11.186,1.368) -- (11.245,1.427) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (9.137,11.003) -- (9.258,11.022) -- (9.368,11.078) -- (9.455,11.165) -- (9.511,11.275) -- (9.531,11.397) -- (9.511,11.519) -- (9.455,11.629) -- (9.368,11.716) -- (9.258,11.772) -- (9.137,11.791) -- (9.137,11.791) -- (9.015,11.772) -- (8.905,11.716) -- (8.818,11.629) -- (8.762,11.519) -- (8.743,11.397) -- (8.762,11.275) -- (8.818,11.165) -- (8.905,11.078) -- (9.015,11.022) -- (9.137,11.003) -- cycle;
\node at (9.137,11.397) {\scalebox{1.623}{\small 1}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.868,9.067) -- (7.99,9.086) -- (8.1,9.142) -- (8.187,9.23) -- (8.243,9.339) -- (8.262,9.461) -- (8.243,9.583) -- (8.187,9.693) -- (8.1,9.78) -- (7.99,9.836) -- (7.868,9.855) -- (7.868,9.855) -- (7.747,9.836) -- (7.637,9.78) -- (7.55,9.693) -- (7.494,9.583) -- (7.475,9.461) -- (7.494,9.339) -- (7.55,9.23) -- (7.637,9.142) -- (7.747,9.086) -- (7.868,9.067) -- cycle;
\node at (7.868,9.461) {\scalebox{1.623}{\small 2}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.0,11.309) -- (6.122,11.328) -- (6.232,11.384) -- (6.319,11.471) -- (6.375,11.581) -- (6.394,11.703) -- (6.375,11.825) -- (6.319,11.935) -- (6.232,12.022) -- (6.122,12.078) -- (6.0,12.097) -- (6.0,12.097) -- (5.879,12.078) -- (5.769,12.022) -- (5.682,11.935) -- (5.626,11.825) -- (5.607,11.703) -- (5.626,11.581) -- (5.682,11.471) -- (5.769,11.384) -- (5.879,11.328) -- (6.0,11.309) -- cycle;
\node at (6.0,11.703) {\scalebox{1.623}{\small 3}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.83,9.391) -- (4.951,9.411) -- (5.061,9.467) -- (5.148,9.554) -- (5.204,9.664) -- (5.224,9.785) -- (5.204,9.907) -- (5.148,10.017) -- (5.061,10.104) -- (4.951,10.16) -- (4.83,10.179) -- (4.83,10.179) -- (4.708,10.16) -- (4.598,10.104) -- (4.511,10.017) -- (4.455,9.907) -- (4.436,9.785) -- (4.455,9.664) -- (4.511,9.554) -- (4.598,9.467) -- (4.708,9.411) -- (4.83,9.391) -- cycle;
\node at (4.83,9.785) {\scalebox{1.623}{\small 4}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.024,9.043) -- (11.146,9.063) -- (11.256,9.119) -- (11.343,9.206) -- (11.399,9.316) -- (11.418,9.437) -- (11.399,9.559) -- (11.343,9.669) -- (11.256,9.756) -- (11.146,9.812) -- (11.024,9.831) -- (11.024,9.831) -- (10.902,9.812) -- (10.792,9.756) -- (10.705,9.669) -- (10.649,9.559) -- (10.63,9.437) -- (10.649,9.316) -- (10.705,9.206) -- (10.792,9.119) -- (10.902,9.063) -- (11.024,9.043) -- cycle;
\node at (11.024,9.437) {\scalebox{1.623}{\small 5}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.739,8.032) -- (5.861,8.051) -- (5.971,8.107) -- (6.058,8.194) -- (6.114,8.304) -- (6.133,8.426) -- (6.114,8.548) -- (6.058,8.658) -- (5.971,8.745) -- (5.861,8.801) -- (5.739,8.82) -- (5.739,8.82) -- (5.617,8.801) -- (5.508,8.745) -- (5.42,8.658) -- (5.365,8.548) -- (5.345,8.426) -- (5.365,8.304) -- (5.42,8.194) -- (5.508,8.107) -- (5.617,8.051) -- (5.739,8.032) -- cycle;
\node at (5.739,8.426) {\scalebox{1.623}{\small 6}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.285,6.092) -- (4.407,6.112) -- (4.517,6.168) -- (4.604,6.255) -- (4.66,6.365) -- (4.679,6.486) -- (4.66,6.608) -- (4.604,6.718) -- (4.517,6.805) -- (4.407,6.861) -- (4.285,6.88) -- (4.285,6.88) -- (4.164,6.861) -- (4.054,6.805) -- (3.967,6.718) -- (3.911,6.608) -- (3.892,6.486) -- (3.911,6.365) -- (3.967,6.255) -- (4.054,6.168) -- (4.164,6.112) -- (4.285,6.092) -- cycle;
\node at (4.285,6.486) {\scalebox{1.623}{\small 7}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.136,5.862) -- (11.258,5.881) -- (11.367,5.937) -- (11.455,6.024) -- (11.51,6.134) -- (11.53,6.256) -- (11.51,6.378) -- (11.455,6.487) -- (11.367,6.575) -- (11.258,6.631) -- (11.136,6.65) -- (11.136,6.65) -- (11.014,6.631) -- (10.904,6.575) -- (10.817,6.487) -- (10.761,6.378) -- (10.742,6.256) -- (10.761,6.134) -- (10.817,6.024) -- (10.904,5.937) -- (11.014,5.881) -- (11.136,5.862) -- cycle;
\node at (11.136,6.256) {\scalebox{1.623}{\small 8}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.963,7.635) -- (9.085,7.655) -- (9.194,7.711) -- (9.281,7.798) -- (9.337,7.908) -- (9.357,8.029) -- (9.337,8.151) -- (9.281,8.261) -- (9.194,8.348) -- (9.085,8.404) -- (8.963,8.423) -- (8.963,8.423) -- (8.841,8.404) -- (8.731,8.348) -- (8.644,8.261) -- (8.588,8.151) -- (8.569,8.029) -- (8.588,7.908) -- (8.644,7.798) -- (8.731,7.711) -- (8.841,7.655) -- (8.963,7.635) -- cycle;
\node at (8.963,8.029) {\scalebox{1.623}{\small 9}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.791,6.08) -- (7.913,6.099) -- (8.023,6.155) -- (8.11,6.242) -- (8.166,6.352) -- (8.185,6.474) -- (8.166,6.596) -- (8.11,6.705) -- (8.023,6.793) -- (7.913,6.849) -- (7.791,6.868) -- (7.421,6.868) -- (7.299,6.849) -- (7.189,6.793) -- (7.102,6.705) -- (7.046,6.596) -- (7.027,6.474) -- (7.046,6.352) -- (7.102,6.242) -- (7.189,6.155) -- (7.299,6.099) -- (7.421,6.08) -- cycle;
\node at (7.606,6.474) {\scalebox{1.623}{\small 10}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.979,4.865) -- (9.101,4.884) -- (9.211,4.94) -- (9.298,5.027) -- (9.354,5.137) -- (9.373,5.259) -- (9.354,5.381) -- (9.298,5.49) -- (9.211,5.578) -- (9.101,5.633) -- (8.979,5.653) -- (8.608,5.653) -- (8.487,5.633) -- (8.377,5.578) -- (8.29,5.49) -- (8.234,5.381) -- (8.214,5.259) -- (8.234,5.137) -- (8.29,5.027) -- (8.377,4.94) -- (8.487,4.884) -- (8.608,4.865) -- cycle;
\node at (8.794,5.259) {\scalebox{1.623}{\small 11}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.136,3.049) -- (7.258,3.068) -- (7.368,3.124) -- (7.455,3.211) -- (7.511,3.321) -- (7.53,3.443) -- (7.511,3.565) -- (7.455,3.675) -- (7.368,3.762) -- (7.258,3.818) -- (7.136,3.837) -- (6.765,3.837) -- (6.644,3.818) -- (6.534,3.762) -- (6.447,3.675) -- (6.391,3.565) -- (6.371,3.443) -- (6.391,3.321) -- (6.447,3.211) -- (6.534,3.124) -- (6.644,3.068) -- (6.765,3.049) -- cycle;
\node at (6.951,3.443) {\scalebox{1.623}{\small 12}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.686,4.88) -- (5.808,4.899) -- (5.918,4.955) -- (6.005,5.042) -- (6.061,5.152) -- (6.08,5.274) -- (6.061,5.395) -- (6.005,5.505) -- (5.918,5.592) -- (5.808,5.648) -- (5.686,5.667) -- (5.316,5.667) -- (5.194,5.648) -- (5.084,5.592) -- (4.997,5.505) -- (4.941,5.395) -- (4.922,5.274) -- (4.941,5.152) -- (4.997,5.042) -- (5.084,4.955) -- (5.194,4.899) -- (5.316,4.88) -- cycle;
\node at (5.501,5.274) {\scalebox{1.623}{\small 13}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.596,3.049) -- (4.717,3.068) -- (4.827,3.124) -- (4.914,3.211) -- (4.97,3.321) -- (4.99,3.443) -- (4.97,3.565) -- (4.914,3.674) -- (4.827,3.762) -- (4.717,3.818) -- (4.596,3.837) -- (4.225,3.837) -- (4.103,3.818) -- (3.993,3.762) -- (3.906,3.674) -- (3.85,3.565) -- (3.831,3.443) -- (3.85,3.321) -- (3.906,3.211) -- (3.993,3.124) -- (4.103,3.068) -- (4.225,3.049) -- cycle;
\node at (4.41,3.443) {\scalebox{1.623}{\small 14}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.132,2.767) -- (11.254,2.786) -- (11.364,2.842) -- (11.451,2.929) -- (11.507,3.039) -- (11.526,3.161) -- (11.507,3.282) -- (11.451,3.392) -- (11.364,3.479) -- (11.254,3.535) -- (11.132,3.554) -- (10.761,3.554) -- (10.64,3.535) -- (10.53,3.479) -- (10.443,3.392) -- (10.387,3.282) -- (10.368,3.161) -- (10.387,3.039) -- (10.443,2.929) -- (10.53,2.842) -- (10.64,2.786) -- (10.761,2.767) -- cycle;
\node at (10.947,3.161) {\scalebox{1.623}{\small 15}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.832,1.987) -- (5.954,2.006) -- (6.064,2.062) -- (6.151,2.149) -- (6.207,2.259) -- (6.226,2.381) -- (6.207,2.502) -- (6.151,2.612) -- (6.064,2.699) -- (5.954,2.755) -- (5.832,2.775) -- (5.461,2.775) -- (5.34,2.755) -- (5.23,2.699) -- (5.143,2.612) -- (5.087,2.502) -- (5.068,2.381) -- (5.087,2.259) -- (5.143,2.149) -- (5.23,2.062) -- (5.34,2.006) -- (5.461,1.987) -- cycle;
\node at (5.647,2.381) {\scalebox{1.623}{\small 16}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.642,1.05) -- (2.764,1.069) -- (2.874,1.125) -- (2.961,1.212) -- (3.017,1.322) -- (3.036,1.444) -- (3.017,1.566) -- (2.961,1.675) -- (2.874,1.763) -- (2.764,1.818) -- (2.642,1.838) -- (2.272,1.838) -- (2.15,1.818) -- (2.04,1.763) -- (1.953,1.675) -- (1.897,1.566) -- (1.878,1.444) -- (1.897,1.322) -- (1.953,1.212) -- (2.04,1.125) -- (2.15,1.069) -- (2.272,1.05) -- cycle;
\node at (2.457,1.444) {\scalebox{1.623}{\small 17}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.34,1.7) -- (9.461,1.719) -- (9.571,1.775) -- (9.658,1.862) -- (9.714,1.972) -- (9.733,2.093) -- (9.714,2.215) -- (9.658,2.325) -- (9.571,2.412) -- (9.461,2.468) -- (9.34,2.487) -- (8.969,2.487) -- (8.847,2.468) -- (8.737,2.412) -- (8.65,2.325) -- (8.594,2.215) -- (8.575,2.093) -- (8.594,1.972) -- (8.65,1.862) -- (8.737,1.775) -- (8.847,1.719) -- (8.969,1.7) -- cycle;
\node at (9.154,2.093) {\scalebox{1.623}{\small 18}};
\filldraw[fill=yellow!35, draw=black, line width=0.5pt] (3.597,4.428) -- (4.197,4.428) -- (4.197,5.028) -- (3.597,5.028) -- cycle;
\node at (3.897,4.728) {\scalebox{1.623}{\small a}};
\filldraw[fill=red!16, draw=black, line width=0.5pt] (3.03,2.36) -- (3.63,2.36) -- (3.63,2.96) -- (3.03,2.96) -- cycle;
\node at (3.33,2.66) {\scalebox{1.623}{\small b}};
\filldraw[fill=green!18, draw=black, line width=0.5pt] (9.693,4.59) -- (10.293,4.59) -- (10.293,5.19) -- (9.693,5.19) -- cycle;
\node at (9.993,4.89) {\scalebox{1.623}{\small c}};
\filldraw[fill=black!14, draw=black, line width=0.5pt] (7.583,3.704) -- (8.183,3.704) -- (8.183,4.304) -- (7.583,4.304) -- cycle;
\node at (7.883,4.004) {\scalebox{1.623}{\small d}};
\node at (7.665,12.122) {\scalebox{1.623}{\small A}};
\node at (4.176,11.934) {\scalebox{1.623}{\small B}};
\node at (10.941,11.255) {\scalebox{1.623}{\small C}};
\node at (3.7,8.674) {\scalebox{1.623}{\small D}};
\node at (11.495,8.298) {\scalebox{1.623}{\small E}};
\node at (7.109,8.184) {\scalebox{1.623}{\small F}};
\node at (7.419,4.738) {\scalebox{1.623}{\small G}};
\node at (3.333,4.47) {\scalebox{1.623}{\small H}};
\node at (10.859,4.447) {\scalebox{1.623}{\small I}};
\node at (3.551,1.652) {\scalebox{1.623}{\small J}};
\node at (0.765,1.413) {\scalebox{1.623}{\small K}};
\node at (7.225,0.95) {\scalebox{1.623}{\small L}};
\node at (11.525,1.05) {\scalebox{1.623}{\small M}};
\draw[line width=0.5pt] (12.406,10.557) -- (12.406,11.657);
\draw[line width=0.5pt] (12.175,11.272) -- (12.406,11.657) -- (12.637,11.272);
\draw[line width=0.5pt] (12.104,11.107) -- (12.709,11.107);
\node at (12.406,12.042) {\scalebox{1.623}{\small N}};
\end{tikzpicture}
\end{center}
\noindent \textbf{Le car part de l'école, au carrefour H, et doit s'arrêter à chaque carrefour exactement une fois.} Il emprunte les rues qu'il veut et n'a pas à toutes les parcourir.\par\addvspace{0.35em}
\begin{center}
\renewcommand{\arraystretch}{1.35}
\begin{tabular}{|c|c|c|c|}
\hline
\cellcolor{black!32}\bfseries Les rues & ⑩ avenue de la Gare & Ⓐ Rond-point de la Poste & Ⓚ Fontaine Notre-Dame \\ \hline
① rue Haute & ⑪ rue du Moulin & Ⓑ Place de la Fontaine & Ⓛ Rond-point du Stade \\ \hline
② rue Basse & ⑫ rue des Écoles & Ⓒ Place Sainte-Croix & Ⓜ Place des Tanneurs \\ \hline
③ rue Neuve & ⑬ venelle du Chat & Ⓓ Carrefour de la Mairie & \cellcolor{black!32}\bfseries Les bâtiments \\ \hline
④ allée des Tilleuls & ⑭ passage du Marché & Ⓔ Carrefour du Moulin & \textbf{a} l'école \\ \hline
⑤ rue de la Mairie & ⑮ rue du Pont & Ⓕ Carrefour du Lavoir & \textbf{b} le lavoir \\ \hline
⑥ sentier des Prés & ⑯ chemin du Lavoir & Ⓖ Rond-point de la Gare & \textbf{c} la salle des fêtes \\ \hline
⑦ rue de l'Église & ⑰ impasse des Cerisiers & Ⓗ Rond-point des Vaches & \textbf{d} le gymnase \\ \hline
⑧ rue Verte & ⑱ rue du Puits & Ⓘ Carrefour des Tilleuls &  \\ \hline
⑨ rue Pasteur & \cellcolor{black!32}\bfseries Les carrefours & Ⓙ Carrefour Saint-Roch &  \\ \hline
\end{tabular}
\end{center}
\noindent{\small\itshape Légende du plan}\par\addvspace{0.4em}
\begin{enumerate}
  \item Colorier les carrefours du plan avec \textbf{deux couleurs}, de sorte que deux carrefours \textbf{reliés par une rue} ne soient jamais de la même couleur. Combien y en a-t-il de chaque couleur ?
  \item Le car roule d'un carrefour au suivant. Que peut-on dire de la \textbf{couleur} des arrêts successifs ? Qu'en déduire sur les couleurs des arrêts d'une tournée qui les dessert tous ?
  \item \textbf{Le car peut-il desservir tous les carrefours, une fois chacun, et revenir à l'école ?} Si oui, décrire un trajet ; sinon, démontrer que c'est impossible.
  \item \textbf{Et s'il n'est pas obligé de revenir à l'école ?} Même consigne.
\end{enumerate}
\newpage
\section*{\textcolor{red}{Correction}}
\needspace{5\baselineskip}
\subsection*{\textcolor{red}{Le car de ramassage — Correction}}
\needspace{3\baselineskip}
\begin{center}
\begin{tikzpicture}[scale=0.6312, line join=round, line cap=round]
\draw[line width=0.5pt] (7.586,11.507) -- (7.789,11.422) -- (7.993,11.342) -- (8.2,11.267) -- (8.408,11.196) -- (8.618,11.131) -- (8.829,11.07) -- (9.042,11.015) -- (9.256,10.964) -- (9.471,10.919) -- (9.687,10.878) -- (9.903,10.843) -- (10.121,10.813) -- (10.339,10.787) -- (10.558,10.768);
\draw[line width=0.5pt] (7.586,11.507) -- (7.591,11.222) -- (7.589,10.937) -- (7.58,10.652) -- (7.565,10.367) -- (7.543,10.082) -- (7.514,9.798) -- (7.478,9.515) -- (7.436,9.232) -- (7.387,8.951) -- (7.332,8.671) -- (7.27,8.392) -- (7.201,8.115) -- (7.126,7.84) -- (7.045,7.567);
\draw[line width=0.5pt] (4.437,11.372) -- (4.662,11.347) -- (4.887,11.327) -- (5.113,11.313) -- (5.339,11.304) -- (5.565,11.301) -- (5.791,11.302) -- (6.017,11.309) -- (6.243,11.322) -- (6.469,11.339) -- (6.694,11.362) -- (6.918,11.391) -- (7.142,11.424) -- (7.365,11.463) -- (7.586,11.507);
\draw[line width=0.5pt] (4.437,11.372) -- (4.453,11.15) -- (4.463,10.928) -- (4.469,10.706) -- (4.469,10.484) -- (4.463,10.262) -- (4.453,10.04) -- (4.437,9.818) -- (4.416,9.596) -- (4.39,9.376) -- (4.359,9.155) -- (4.323,8.936) -- (4.281,8.718) -- (4.234,8.501) -- (4.183,8.285);
\draw[line width=0.5pt] (10.558,10.768) -- (10.555,10.57) -- (10.556,10.371) -- (10.562,10.173) -- (10.573,9.975) -- (10.589,9.778) -- (10.609,9.58) -- (10.634,9.383) -- (10.663,9.187) -- (10.697,8.992) -- (10.736,8.797) -- (10.779,8.604) -- (10.827,8.411) -- (10.879,8.22) -- (10.936,8.03);
\draw[line width=0.5pt] (4.183,8.285) -- (4.393,8.265) -- (4.603,8.241) -- (4.813,8.211) -- (5.022,8.177) -- (5.23,8.137) -- (5.437,8.093) -- (5.643,8.044) -- (5.848,7.99) -- (6.052,7.931) -- (6.254,7.868) -- (6.454,7.8) -- (6.653,7.727) -- (6.85,7.649) -- (7.045,7.567);
\draw[line width=0.5pt] (4.183,8.285) -- (4.123,8.036) -- (4.07,7.785) -- (4.023,7.534) -- (3.981,7.281) -- (3.946,7.027) -- (3.916,6.773) -- (3.893,6.518) -- (3.875,6.262) -- (3.864,6.007) -- (3.858,5.75) -- (3.859,5.494) -- (3.865,5.238) -- (3.878,4.983) -- (3.897,4.728);
\draw[line width=0.5pt] (10.936,8.03) -- (10.926,7.786) -- (10.911,7.542) -- (10.89,7.299) -- (10.863,7.056) -- (10.831,6.813) -- (10.793,6.572) -- (10.749,6.331) -- (10.7,6.091) -- (10.645,5.853) -- (10.584,5.616) -- (10.518,5.381) -- (10.446,5.147) -- (10.369,4.915) -- (10.287,4.685);
\draw[line width=0.5pt] (7.045,7.567) -- (7.326,7.557) -- (7.607,7.554) -- (7.888,7.558) -- (8.169,7.568) -- (8.449,7.585) -- (8.73,7.608) -- (9.009,7.638) -- (9.288,7.675) -- (9.566,7.718) -- (9.843,7.767) -- (10.118,7.823) -- (10.393,7.886) -- (10.665,7.955) -- (10.936,8.03);
\draw[line width=0.5pt] (7.045,7.567) -- (7.08,7.409) -- (7.112,7.25) -- (7.14,7.091) -- (7.164,6.931) -- (7.184,6.77) -- (7.2,6.609) -- (7.213,6.448) -- (7.222,6.286) -- (7.227,6.124) -- (7.228,5.962) -- (7.226,5.8) -- (7.219,5.639) -- (7.209,5.477) -- (7.195,5.316);
\draw[line width=0.5pt] (7.195,5.316) -- (7.407,5.237) -- (7.621,5.164) -- (7.837,5.095) -- (8.054,5.032) -- (8.273,4.974) -- (8.494,4.921) -- (8.715,4.873) -- (8.937,4.83) -- (9.161,4.793) -- (9.385,4.761) -- (9.61,4.734) -- (9.835,4.712) -- (10.061,4.696) -- (10.287,4.685);
\draw[line width=0.5pt] (7.195,5.316) -- (7.235,5.05) -- (7.269,4.784) -- (7.297,4.516) -- (7.318,4.248) -- (7.333,3.98) -- (7.342,3.711) -- (7.345,3.442) -- (7.341,3.173) -- (7.33,2.904) -- (7.314,2.636) -- (7.291,2.368) -- (7.262,2.101) -- (7.227,1.834) -- (7.185,1.569);
\draw[line width=0.5pt] (3.897,4.728) -- (4.137,4.733) -- (4.377,4.744) -- (4.617,4.761) -- (4.856,4.784) -- (5.095,4.812) -- (5.333,4.846) -- (5.57,4.886) -- (5.806,4.931) -- (6.041,4.981) -- (6.275,5.037) -- (6.508,5.099) -- (6.739,5.166) -- (6.968,5.238) -- (7.195,5.316);
\draw[line width=0.5pt] (3.897,4.728) -- (3.927,4.545) -- (3.952,4.362) -- (3.974,4.178) -- (3.991,3.994) -- (4.004,3.809) -- (4.012,3.624) -- (4.016,3.439) -- (4.016,3.254) -- (4.012,3.069) -- (4.003,2.884) -- (3.989,2.699) -- (3.972,2.515) -- (3.95,2.331) -- (3.923,2.148);
\draw[line width=0.5pt] (10.287,4.685) -- (10.31,4.451) -- (10.339,4.217) -- (10.373,3.984) -- (10.413,3.752) -- (10.458,3.521) -- (10.509,3.291) -- (10.565,3.062) -- (10.627,2.835) -- (10.694,2.609) -- (10.766,2.385) -- (10.843,2.162) -- (10.926,1.942) -- (11.013,1.723) -- (11.106,1.507);
\draw[line width=0.5pt] (3.923,2.148) -- (4.161,2.143) -- (4.398,2.132) -- (4.635,2.115) -- (4.872,2.093) -- (5.108,2.065) -- (5.343,2.032) -- (5.578,1.993) -- (5.812,1.949) -- (6.044,1.899) -- (6.275,1.844) -- (6.505,1.783) -- (6.733,1.717) -- (6.96,1.645) -- (7.185,1.569);
\draw[line width=0.5pt] (1.258,1.79) -- (1.45,1.786) -- (1.643,1.787) -- (1.836,1.792) -- (2.029,1.802) -- (2.221,1.816) -- (2.414,1.835) -- (2.605,1.859) -- (2.796,1.887) -- (2.987,1.919) -- (3.176,1.956) -- (3.365,1.997) -- (3.552,2.043) -- (3.738,2.093) -- (3.923,2.148);
\draw[line width=0.5pt] (7.185,1.569) -- (7.463,1.607) -- (7.743,1.639) -- (8.023,1.664) -- (8.304,1.683) -- (8.585,1.695) -- (8.867,1.701) -- (9.148,1.7) -- (9.429,1.692) -- (9.711,1.678) -- (9.991,1.657) -- (10.271,1.629) -- (10.551,1.595) -- (10.829,1.554) -- (11.106,1.507);
\filldraw[fill=white, draw=black, line width=0.5pt] (7.96,11.507) -- (7.931,11.65) -- (7.85,11.771) -- (7.729,11.852) -- (7.586,11.88) -- (7.444,11.852) -- (7.323,11.771) -- (7.242,11.65) -- (7.213,11.507) -- (7.242,11.364) -- (7.323,11.243) -- (7.444,11.162) -- (7.586,11.134) -- (7.729,11.162) -- (7.85,11.243) -- (7.931,11.364) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (4.81,11.372) -- (4.782,11.515) -- (4.701,11.636) -- (4.58,11.717) -- (4.437,11.745) -- (4.294,11.717) -- (4.173,11.636) -- (4.092,11.515) -- (4.064,11.372) -- (4.092,11.229) -- (4.173,11.108) -- (4.294,11.027) -- (4.437,10.998) -- (4.58,11.027) -- (4.701,11.108) -- (4.782,11.229) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (10.931,10.768) -- (10.903,10.91) -- (10.822,11.032) -- (10.701,11.112) -- (10.558,11.141) -- (10.415,11.112) -- (10.294,11.032) -- (10.213,10.91) -- (10.185,10.768) -- (10.213,10.625) -- (10.294,10.504) -- (10.415,10.423) -- (10.558,10.394) -- (10.701,10.423) -- (10.822,10.504) -- (10.903,10.625) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (4.556,8.285) -- (4.527,8.428) -- (4.446,8.549) -- (4.325,8.63) -- (4.183,8.658) -- (4.04,8.63) -- (3.919,8.549) -- (3.838,8.428) -- (3.809,8.285) -- (3.838,8.142) -- (3.919,8.021) -- (4.04,7.94) -- (4.183,7.912) -- (4.325,7.94) -- (4.446,8.021) -- (4.527,8.142) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (11.309,8.03) -- (11.28,8.173) -- (11.199,8.294) -- (11.078,8.375) -- (10.936,8.404) -- (10.793,8.375) -- (10.672,8.294) -- (10.591,8.173) -- (10.562,8.03) -- (10.591,7.888) -- (10.672,7.766) -- (10.793,7.686) -- (10.936,7.657) -- (11.078,7.686) -- (11.199,7.766) -- (11.28,7.888) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (7.418,7.567) -- (7.39,7.71) -- (7.309,7.831) -- (7.188,7.912) -- (7.045,7.94) -- (6.902,7.912) -- (6.781,7.831) -- (6.7,7.71) -- (6.672,7.567) -- (6.7,7.424) -- (6.781,7.303) -- (6.902,7.222) -- (7.045,7.194) -- (7.188,7.222) -- (7.309,7.303) -- (7.39,7.424) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (7.568,5.316) -- (7.54,5.459) -- (7.459,5.58) -- (7.338,5.661) -- (7.195,5.689) -- (7.052,5.661) -- (6.931,5.58) -- (6.85,5.459) -- (6.822,5.316) -- (6.85,5.173) -- (6.931,5.052) -- (7.052,4.971) -- (7.195,4.943) -- (7.338,4.971) -- (7.459,5.052) -- (7.54,5.173) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (4.27,4.728) -- (4.241,4.87) -- (4.16,4.992) -- (4.039,5.072) -- (3.897,5.101) -- (3.754,5.072) -- (3.633,4.992) -- (3.552,4.87) -- (3.523,4.728) -- (3.552,4.585) -- (3.633,4.464) -- (3.754,4.383) -- (3.897,4.354) -- (4.039,4.383) -- (4.16,4.464) -- (4.241,4.585) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (10.66,4.685) -- (10.632,4.828) -- (10.551,4.949) -- (10.43,5.03) -- (10.287,5.058) -- (10.144,5.03) -- (10.023,4.949) -- (9.942,4.828) -- (9.914,4.685) -- (9.942,4.542) -- (10.023,4.421) -- (10.144,4.34) -- (10.287,4.312) -- (10.43,4.34) -- (10.551,4.421) -- (10.632,4.542) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (4.297,2.148) -- (4.268,2.291) -- (4.187,2.412) -- (4.066,2.493) -- (3.923,2.521) -- (3.781,2.493) -- (3.659,2.412) -- (3.579,2.291) -- (3.55,2.148) -- (3.579,2.005) -- (3.659,1.884) -- (3.781,1.803) -- (3.923,1.775) -- (4.066,1.803) -- (4.187,1.884) -- (4.268,2.005) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (1.631,1.79) -- (1.602,1.933) -- (1.521,2.054) -- (1.4,2.135) -- (1.258,2.163) -- (1.115,2.135) -- (0.994,2.054) -- (0.913,1.933) -- (0.884,1.79) -- (0.913,1.647) -- (0.994,1.526) -- (1.115,1.445) -- (1.258,1.416) -- (1.4,1.445) -- (1.521,1.526) -- (1.602,1.647) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (7.558,1.569) -- (7.53,1.712) -- (7.449,1.833) -- (7.328,1.914) -- (7.185,1.942) -- (7.042,1.914) -- (6.921,1.833) -- (6.84,1.712) -- (6.812,1.569) -- (6.84,1.426) -- (6.921,1.305) -- (7.042,1.224) -- (7.185,1.195) -- (7.328,1.224) -- (7.449,1.305) -- (7.53,1.426) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (11.479,1.507) -- (11.451,1.65) -- (11.37,1.771) -- (11.249,1.852) -- (11.106,1.88) -- (10.963,1.852) -- (10.842,1.771) -- (10.761,1.65) -- (10.733,1.507) -- (10.761,1.364) -- (10.842,1.243) -- (10.963,1.162) -- (11.106,1.134) -- (11.249,1.162) -- (11.37,1.243) -- (11.451,1.364) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (9.134,11.003) -- (9.253,11.022) -- (9.361,11.077) -- (9.446,11.162) -- (9.5,11.269) -- (9.519,11.388) -- (9.5,11.507) -- (9.446,11.614) -- (9.361,11.699) -- (9.253,11.754) -- (9.134,11.772) -- (9.134,11.772) -- (9.016,11.754) -- (8.908,11.699) -- (8.823,11.614) -- (8.769,11.507) -- (8.75,11.388) -- (8.769,11.269) -- (8.823,11.162) -- (8.908,11.077) -- (9.016,11.022) -- (9.134,11.003) -- cycle;
\node at (9.134,11.388) {\scalebox{1.584}{\small 1}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.859,9.078) -- (7.978,9.097) -- (8.085,9.151) -- (8.17,9.236) -- (8.225,9.344) -- (8.244,9.462) -- (8.225,9.581) -- (8.17,9.688) -- (8.085,9.773) -- (7.978,9.828) -- (7.859,9.847) -- (7.859,9.847) -- (7.74,9.828) -- (7.633,9.773) -- (7.548,9.688) -- (7.493,9.581) -- (7.475,9.462) -- (7.493,9.344) -- (7.548,9.236) -- (7.633,9.151) -- (7.74,9.097) -- (7.859,9.078) -- cycle;
\node at (7.859,9.462) {\scalebox{1.584}{\small 2}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.001,11.309) -- (6.12,11.328) -- (6.227,11.383) -- (6.312,11.468) -- (6.367,11.575) -- (6.385,11.694) -- (6.367,11.812) -- (6.312,11.92) -- (6.227,12.005) -- (6.12,12.059) -- (6.001,12.078) -- (6.001,12.078) -- (5.882,12.059) -- (5.775,12.005) -- (5.69,11.92) -- (5.635,11.812) -- (5.616,11.694) -- (5.635,11.575) -- (5.69,11.468) -- (5.775,11.383) -- (5.882,11.328) -- (6.001,11.309) -- cycle;
\node at (6.001,11.694) {\scalebox{1.584}{\small 3}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.82,9.402) -- (4.939,9.42) -- (5.046,9.475) -- (5.131,9.56) -- (5.186,9.667) -- (5.205,9.786) -- (5.186,9.905) -- (5.131,10.012) -- (5.046,10.097) -- (4.939,10.152) -- (4.82,10.171) -- (4.82,10.171) -- (4.702,10.152) -- (4.594,10.097) -- (4.509,10.012) -- (4.455,9.905) -- (4.436,9.786) -- (4.455,9.667) -- (4.509,9.56) -- (4.594,9.475) -- (4.702,9.42) -- (4.82,9.402) -- cycle;
\node at (4.82,9.786) {\scalebox{1.584}{\small 4}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.015,9.051) -- (11.134,9.07) -- (11.241,9.125) -- (11.326,9.21) -- (11.38,9.317) -- (11.399,9.436) -- (11.38,9.555) -- (11.326,9.662) -- (11.241,9.747) -- (11.134,9.802) -- (11.015,9.821) -- (11.015,9.821) -- (10.896,9.802) -- (10.789,9.747) -- (10.704,9.662) -- (10.649,9.555) -- (10.63,9.436) -- (10.649,9.317) -- (10.704,9.21) -- (10.789,9.125) -- (10.896,9.07) -- (11.015,9.051) -- cycle;
\node at (11.015,9.436) {\scalebox{1.584}{\small 5}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.737,8.032) -- (5.856,8.051) -- (5.963,8.106) -- (6.048,8.191) -- (6.103,8.298) -- (6.121,8.417) -- (6.103,8.536) -- (6.048,8.643) -- (5.963,8.728) -- (5.856,8.783) -- (5.737,8.801) -- (5.737,8.801) -- (5.618,8.783) -- (5.511,8.728) -- (5.426,8.643) -- (5.371,8.536) -- (5.352,8.417) -- (5.371,8.298) -- (5.426,8.191) -- (5.511,8.106) -- (5.618,8.051) -- (5.737,8.032) -- cycle;
\node at (5.737,8.417) {\scalebox{1.584}{\small 6}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.276,6.103) -- (4.395,6.121) -- (4.502,6.176) -- (4.587,6.261) -- (4.642,6.368) -- (4.661,6.487) -- (4.642,6.606) -- (4.587,6.713) -- (4.502,6.798) -- (4.395,6.853) -- (4.276,6.872) -- (4.276,6.872) -- (4.157,6.853) -- (4.05,6.798) -- (3.965,6.713) -- (3.91,6.606) -- (3.892,6.487) -- (3.91,6.368) -- (3.965,6.261) -- (4.05,6.176) -- (4.157,6.121) -- (4.276,6.103) -- cycle;
\node at (4.276,6.487) {\scalebox{1.584}{\small 7}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.127,5.873) -- (11.245,5.892) -- (11.353,5.947) -- (11.438,6.032) -- (11.492,6.139) -- (11.511,6.258) -- (11.492,6.377) -- (11.438,6.484) -- (11.353,6.569) -- (11.245,6.623) -- (11.127,6.642) -- (11.127,6.642) -- (11.008,6.623) -- (10.901,6.569) -- (10.816,6.484) -- (10.761,6.377) -- (10.742,6.258) -- (10.761,6.139) -- (10.816,6.032) -- (10.901,5.947) -- (11.008,5.892) -- (11.127,5.873) -- cycle;
\node at (11.127,6.258) {\scalebox{1.584}{\small 8}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.964,7.636) -- (9.083,7.654) -- (9.19,7.709) -- (9.275,7.794) -- (9.33,7.901) -- (9.348,8.02) -- (9.33,8.139) -- (9.275,8.246) -- (9.19,8.331) -- (9.083,8.386) -- (8.964,8.405) -- (8.964,8.405) -- (8.845,8.386) -- (8.738,8.331) -- (8.653,8.246) -- (8.598,8.139) -- (8.579,8.02) -- (8.598,7.901) -- (8.653,7.794) -- (8.738,7.709) -- (8.845,7.654) -- (8.964,7.636) -- cycle;
\node at (8.964,8.02) {\scalebox{1.584}{\small 9}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.778,6.089) -- (7.896,6.108) -- (8.004,6.162) -- (8.089,6.247) -- (8.143,6.354) -- (8.162,6.473) -- (8.143,6.592) -- (8.089,6.699) -- (8.004,6.784) -- (7.896,6.839) -- (7.778,6.858) -- (7.416,6.858) -- (7.297,6.839) -- (7.19,6.784) -- (7.105,6.699) -- (7.05,6.592) -- (7.031,6.473) -- (7.05,6.354) -- (7.105,6.247) -- (7.19,6.162) -- (7.297,6.108) -- (7.416,6.089) -- cycle;
\node at (7.597,6.473) {\scalebox{1.584}{\small 10}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.973,4.865) -- (9.092,4.884) -- (9.199,4.939) -- (9.284,5.024) -- (9.338,5.131) -- (9.357,5.25) -- (9.338,5.368) -- (9.284,5.476) -- (9.199,5.561) -- (9.092,5.615) -- (8.973,5.634) -- (8.611,5.634) -- (8.492,5.615) -- (8.385,5.561) -- (8.3,5.476) -- (8.245,5.368) -- (8.226,5.25) -- (8.245,5.131) -- (8.3,5.024) -- (8.385,4.939) -- (8.492,4.884) -- (8.611,4.865) -- cycle;
\node at (8.792,5.25) {\scalebox{1.584}{\small 11}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.141,3.058) -- (7.26,3.077) -- (7.367,3.132) -- (7.452,3.217) -- (7.507,3.324) -- (7.525,3.443) -- (7.507,3.562) -- (7.452,3.669) -- (7.367,3.754) -- (7.26,3.809) -- (7.141,3.827) -- (6.779,3.827) -- (6.66,3.809) -- (6.553,3.754) -- (6.468,3.669) -- (6.413,3.562) -- (6.395,3.443) -- (6.413,3.324) -- (6.468,3.217) -- (6.553,3.132) -- (6.66,3.077) -- (6.779,3.058) -- cycle;
\node at (6.96,3.443) {\scalebox{1.584}{\small 12}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.684,4.88) -- (5.802,4.899) -- (5.91,4.953) -- (5.995,5.038) -- (6.049,5.145) -- (6.068,5.264) -- (6.049,5.383) -- (5.995,5.49) -- (5.91,5.575) -- (5.802,5.63) -- (5.684,5.649) -- (5.322,5.649) -- (5.203,5.63) -- (5.096,5.575) -- (5.011,5.49) -- (4.956,5.383) -- (4.937,5.264) -- (4.956,5.145) -- (5.011,5.038) -- (5.096,4.953) -- (5.203,4.899) -- (5.322,4.88) -- cycle;
\node at (5.503,5.264) {\scalebox{1.584}{\small 13}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.582,3.058) -- (4.701,3.077) -- (4.808,3.132) -- (4.893,3.217) -- (4.948,3.324) -- (4.966,3.443) -- (4.948,3.562) -- (4.893,3.669) -- (4.808,3.754) -- (4.701,3.809) -- (4.582,3.827) -- (4.22,3.827) -- (4.101,3.809) -- (3.994,3.754) -- (3.909,3.669) -- (3.854,3.562) -- (3.835,3.443) -- (3.854,3.324) -- (3.909,3.217) -- (3.994,3.132) -- (4.101,3.077) -- (4.22,3.058) -- cycle;
\node at (4.401,3.443) {\scalebox{1.584}{\small 14}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.119,2.774) -- (11.238,2.792) -- (11.345,2.847) -- (11.43,2.932) -- (11.484,3.039) -- (11.503,3.158) -- (11.484,3.277) -- (11.43,3.384) -- (11.345,3.469) -- (11.238,3.524) -- (11.119,3.543) -- (10.757,3.543) -- (10.638,3.524) -- (10.531,3.469) -- (10.446,3.384) -- (10.391,3.277) -- (10.372,3.158) -- (10.391,3.039) -- (10.446,2.932) -- (10.531,2.847) -- (10.638,2.792) -- (10.757,2.774) -- cycle;
\node at (10.938,3.158) {\scalebox{1.584}{\small 15}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.826,1.987) -- (5.945,2.006) -- (6.052,2.06) -- (6.137,2.145) -- (6.192,2.253) -- (6.211,2.371) -- (6.192,2.49) -- (6.137,2.597) -- (6.052,2.683) -- (5.945,2.737) -- (5.826,2.756) -- (5.464,2.756) -- (5.345,2.737) -- (5.238,2.683) -- (5.153,2.597) -- (5.099,2.49) -- (5.08,2.371) -- (5.099,2.253) -- (5.153,2.145) -- (5.238,2.06) -- (5.345,2.006) -- (5.464,1.987) -- cycle;
\node at (5.645,2.371) {\scalebox{1.584}{\small 16}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.552,1.833) -- (2.671,1.852) -- (2.778,1.906) -- (2.863,1.992) -- (2.918,2.099) -- (2.937,2.218) -- (2.918,2.336) -- (2.863,2.444) -- (2.778,2.529) -- (2.671,2.583) -- (2.552,2.602) -- (2.19,2.602) -- (2.072,2.583) -- (1.964,2.529) -- (1.879,2.444) -- (1.825,2.336) -- (1.806,2.218) -- (1.825,2.099) -- (1.879,1.992) -- (1.964,1.906) -- (2.072,1.852) -- (2.19,1.833) -- cycle;
\node at (2.371,2.218) {\scalebox{1.584}{\small 17}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.335,1.7) -- (9.454,1.718) -- (9.561,1.773) -- (9.646,1.858) -- (9.701,1.965) -- (9.72,2.084) -- (9.701,2.203) -- (9.646,2.31) -- (9.561,2.395) -- (9.454,2.45) -- (9.335,2.469) -- (8.973,2.469) -- (8.854,2.45) -- (8.747,2.395) -- (8.662,2.31) -- (8.607,2.203) -- (8.589,2.084) -- (8.607,1.965) -- (8.662,1.858) -- (8.747,1.773) -- (8.854,1.718) -- (8.973,1.7) -- cycle;
\node at (9.154,2.084) {\scalebox{1.584}{\small 18}};
\filldraw[fill=yellow!35, draw=black, line width=0.5pt] (3.597,4.428) -- (4.197,4.428) -- (4.197,5.028) -- (3.597,5.028) -- cycle;
\node at (3.897,4.728) {\scalebox{1.584}{\small a}};
\filldraw[fill=red!16, draw=black, line width=0.5pt] (3.03,2.36) -- (3.63,2.36) -- (3.63,2.96) -- (3.03,2.96) -- cycle;
\node at (3.33,2.66) {\scalebox{1.584}{\small b}};
\filldraw[fill=green!18, draw=black, line width=0.5pt] (9.693,4.59) -- (10.293,4.59) -- (10.293,5.19) -- (9.693,5.19) -- cycle;
\node at (9.993,4.89) {\scalebox{1.584}{\small c}};
\filldraw[fill=black!14, draw=black, line width=0.5pt] (7.583,3.704) -- (8.183,3.704) -- (8.183,4.304) -- (7.583,4.304) -- cycle;
\node at (7.883,4.004) {\scalebox{1.584}{\small d}};
\node at (7.665,12.122) {\scalebox{1.584}{\small A}};
\node at (4.176,11.934) {\scalebox{1.584}{\small B}};
\node at (10.941,11.255) {\scalebox{1.584}{\small C}};
\node at (3.7,8.674) {\scalebox{1.584}{\small D}};
\node at (11.495,8.298) {\scalebox{1.584}{\small E}};
\node at (7.109,8.184) {\scalebox{1.584}{\small F}};
\node at (7.419,4.738) {\scalebox{1.584}{\small G}};
\node at (3.333,4.47) {\scalebox{1.584}{\small H}};
\node at (10.859,4.447) {\scalebox{1.584}{\small I}};
\node at (3.551,1.652) {\scalebox{1.584}{\small J}};
\node at (0.765,1.413) {\scalebox{1.584}{\small K}};
\node at (7.225,0.95) {\scalebox{1.584}{\small L}};
\node at (11.525,1.05) {\scalebox{1.584}{\small M}};
\draw[line width=0.5pt] (12.406,10.557) -- (12.406,11.657);
\draw[line width=0.5pt] (12.175,11.272) -- (12.406,11.657) -- (12.637,11.272);
\draw[line width=0.5pt] (12.104,11.107) -- (12.709,11.107);
\node at (12.406,12.042) {\scalebox{1.584}{\small N}};
\end{tikzpicture}
\end{center}
\noindent{\small\itshape Deux carrefours reliés par une rue n'ont jamais la même couleur.}\par\addvspace{0.4em}
\noindent \textbf{1.} Le coloriage est \textbf{forcé} : une fois la couleur d'un carrefour choisie, celle de tous les autres suit, de proche en proche.\par\addvspace{0.35em}
\begin{center}
\renewcommand{\arraystretch}{1.35}
\begin{tabular}{|c|c|c|}
\hline
\cellcolor{blue!7}\bfseries Couleur & \cellcolor{blue!7}\bfseries Carrefours & \cellcolor{blue!7}\bfseries Nombre \\ \hline
sombres & B, C, F, H, I, K, L & 7 \\ \hline
clairs & A, D, E, G, J, M & 6 \\ \hline
\end{tabular}
\end{center}
\noindent{\color{red!80!black}\bfseries Il y a \textbf{7} carrefours sombres et \textbf{6} clairs. Il y en a donc \textbf{1 de plus} du côté des sombres.}\par\addvspace{0.4em}
\noindent \textbf{2.}\par\addvspace{0.35em}
\noindent{\color{green!45!black}\textbf{Le raisonnement clé.} Chaque rue relie un carrefour sombre à un carrefour clair. Donc à chaque fois que le car roule, il \textbf{change de couleur} : ses arrêts sont sombre, clair, sombre, clair\dots{} \textbf{en alternance}.}\par\addvspace{0.4em}
\noindent{\color{red!80!black}\bfseries Une tournée qui dessert les 13 carrefours alterne donc les deux couleurs d'un bout à l'autre : elle en utilise \textbf{autant de chaque, à un près}. Et si elle en utilise un de plus d'une couleur, c'est forcément celle de son \textbf{départ} et de son \textbf{arrivée}.}\par\addvspace{0.4em}
\noindent \textbf{3.}\par\addvspace{0.35em}
\noindent{\color{red!80!black}\bfseries \textbf{Non.} Un circuit revient à son point de départ : il compte autant d'arrêts sombres que de clairs. Or ce quartier a 7 carrefours sombres et 6 clairs — c'est impossible.}\par\addvspace{0.4em}
\noindent \textbf{4.}\par\addvspace{0.35em}
\noindent{\color{red!80!black}\bfseries \textbf{Oui}, à condition de ne pas revenir. Un trajet possible au départ de \textbf{H} :}\par\addvspace{0.4em}
\newpage
\noindent \textbf{Le trajet du car}\par\addvspace{0.35em}
\noindent Le car sort de l'école et prend la \textbf{rue de l'Église ⑦} vers le nord jusqu'à Carrefour de la Mairie \textbf{(D)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans l'\textbf{allée des Tilleuls ④}, vers le nord, jusqu'à Place de la Fontaine \textbf{(B)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue Neuve ③}, vers l'est, jusqu'à Rond-point de la Poste \textbf{(A)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue Haute ①}, vers l'est, jusqu'à Place Sainte-Croix \textbf{(C)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue de la Mairie ⑤}, vers le sud, jusqu'à Carrefour du Moulin \textbf{(E)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue Pasteur ⑨}, vers l'ouest, jusqu'à Carrefour du Lavoir \textbf{(F)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans l'\textbf{avenue de la Gare ⑩}, vers le sud, jusqu'à Rond-point de la Gare \textbf{(G)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue du Moulin ⑪}, vers l'est, jusqu'à Carrefour des Tilleuls \textbf{(I)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue du Pont ⑮}, vers le sud, jusqu'à Place des Tanneurs \textbf{(M)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue du Puits ⑱}, vers l'ouest, jusqu'à Rond-point du Stade \textbf{(L)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans le \textbf{chemin du Lavoir ⑯}, vers l'ouest, jusqu'à Carrefour Saint-Roch \textbf{(J)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans l'\textbf{impasse des Cerisiers ⑰}, vers l'ouest, jusqu'à Fontaine Notre-Dame \textbf{(K)}.\par\addvspace{0.35em}
\noindent{\color{red!80!black}\bfseries Les 13 carrefours ont été desservis une fois chacun. Le car termine loin de l'école : c'est permis ici, mais pas à la question 3.}\par\addvspace{0.4em}
\end{document}
