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\newcommand{\titre}{Le car de ramassage}
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    \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.
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\noindent \textbf{Le car part de l'école, au carrefour I, 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 allée des Tilleuls & Ⓑ Place aux Herbes & Ⓛ Place des Tanneurs \\ \hline
① avenue de la Gare & ⑪ rue des Jardins & Ⓒ Place de l'Église & Ⓜ Coin du Lavoir \\ \hline
② rue du Puits & ⑫ rue de l'Église & Ⓓ Placette des Ormes & \cellcolor{black!32}\bfseries Les bâtiments \\ \hline
③ allée des Peupliers & ⑬ chemin des Vignes & Ⓔ Carrefour du Lavoir & \textbf{a} l'école \\ \hline
④ rue des Lilas & ⑭ passage du Marché & Ⓕ Rond-point du Stade & \textbf{b} le stade \\ \hline
⑤ rue du Moulin & ⑮ rue de la Mairie & Ⓖ Carrefour du Moulin & \textbf{c} le cimetière \\ \hline
⑥ rue Verte & ⑯ rue du Stade & Ⓗ Place de la Fontaine & \textbf{d} le lavoir \\ \hline
⑦ sentier des Prés & ⑰ rue Neuve & Ⓘ Place du Marché &  \\ \hline
⑧ rue du Four & \cellcolor{black!32}\bfseries Les carrefours & Ⓙ Rond-point de la Gare &  \\ \hline
⑨ rue de la Poste & Ⓐ Fontaine Notre-Dame & Ⓚ 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}
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\draw[line width=0.5pt] (2.048,5.245) -- (1.98,4.978) -- (1.918,4.71) -- (1.863,4.439) -- (1.815,4.168) -- (1.772,3.896) -- (1.737,3.622) -- (1.707,3.348) -- (1.684,3.073) -- (1.668,2.798) -- (1.657,2.522) -- (1.654,2.246) -- (1.657,1.971) -- (1.666,1.695) -- (1.682,1.42);
\draw[line width=0.5pt] (8.163,4.866) -- (8.383,4.923) -- (8.604,4.975) -- (8.827,5.022) -- (9.051,5.064) -- (9.275,5.1) -- (9.501,5.131) -- (9.727,5.157) -- (9.954,5.177) -- (10.181,5.192) -- (10.409,5.202) -- (10.636,5.206) -- (10.864,5.205) -- (11.091,5.199) -- (11.318,5.187);
\draw[line width=0.5pt] (8.163,4.866) -- (8.141,4.624) -- (8.126,4.381) -- (8.116,4.139) -- (8.112,3.896) -- (8.114,3.653) -- (8.121,3.41) -- (8.134,3.167) -- (8.153,2.925) -- (8.177,2.683) -- (8.207,2.442) -- (8.243,2.201) -- (8.284,1.962) -- (8.331,1.724) -- (8.384,1.487);
\draw[line width=0.5pt] (4.911,1.733) -- (5.16,1.753) -- (5.409,1.768) -- (5.659,1.777) -- (5.908,1.78) -- (6.158,1.777) -- (6.408,1.768) -- (6.658,1.753) -- (6.907,1.732) -- (7.155,1.706) -- (7.403,1.674) -- (7.65,1.636) -- (7.896,1.592) -- (8.14,1.542) -- (8.384,1.487);
\draw[line width=0.5pt] (1.682,1.42) -- (1.914,1.407) -- (2.147,1.399) -- (2.38,1.397) -- (2.612,1.4) -- (2.845,1.409) -- (3.077,1.423) -- (3.309,1.443) -- (3.541,1.468) -- (3.772,1.499) -- (4.002,1.535) -- (4.231,1.576) -- (4.459,1.623) -- (4.685,1.675) -- (4.911,1.733);
\filldraw[fill=white, draw=black, line width=0.5pt] (2.8,11.42) -- (2.771,11.563) -- (2.69,11.684) -- (2.569,11.765) -- (2.426,11.793) -- (2.284,11.765) -- (2.163,11.684) -- (2.082,11.563) -- (2.053,11.42) -- (2.082,11.277) -- (2.163,11.156) -- (2.284,11.075) -- (2.426,11.047) -- (2.569,11.075) -- (2.69,11.156) -- (2.771,11.277) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (5.178,11.227) -- (5.15,11.369) -- (5.069,11.49) -- (4.948,11.571) -- (4.805,11.6) -- (4.662,11.571) -- (4.541,11.49) -- (4.46,11.369) -- (4.432,11.227) -- (4.46,11.084) -- (4.541,10.963) -- (4.662,10.882) -- (4.805,10.853) -- (4.948,10.882) -- (5.069,10.963) -- (5.15,11.084) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (2.033,8.104) -- (2.005,8.247) -- (1.924,8.368) -- (1.803,8.449) -- (1.66,8.477) -- (1.517,8.449) -- (1.396,8.368) -- (1.315,8.247) -- (1.287,8.104) -- (1.315,7.961) -- (1.396,7.84) -- (1.517,7.759) -- (1.66,7.731) -- (1.803,7.759) -- (1.924,7.84) -- (2.005,7.961) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (11.719,7.693) -- (11.69,7.835) -- (11.609,7.956) -- (11.488,8.037) -- (11.345,8.066) -- (11.203,8.037) -- (11.082,7.956) -- (11.001,7.835) -- (10.972,7.693) -- (11.001,7.55) -- (11.082,7.429) -- (11.203,7.348) -- (11.345,7.319) -- (11.488,7.348) -- (11.609,7.429) -- (11.69,7.55) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (8.024,7.651) -- (7.996,7.794) -- (7.915,7.915) -- (7.794,7.996) -- (7.651,8.025) -- (7.508,7.996) -- (7.387,7.915) -- (7.306,7.794) -- (7.278,7.651) -- (7.306,7.508) -- (7.387,7.387) -- (7.508,7.306) -- (7.651,7.278) -- (7.794,7.306) -- (7.915,7.387) -- (7.996,7.508) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (4.987,7.63) -- (4.959,7.772) -- (4.878,7.893) -- (4.757,7.974) -- (4.614,8.003) -- (4.471,7.974) -- (4.35,7.893) -- (4.269,7.772) -- (4.241,7.63) -- (4.269,7.487) -- (4.35,7.366) -- (4.471,7.285) -- (4.614,7.256) -- (4.757,7.285) -- (4.878,7.366) -- (4.959,7.487) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (5.835,5.373) -- (5.807,5.516) -- (5.726,5.637) -- (5.605,5.718) -- (5.462,5.747) -- (5.319,5.718) -- (5.198,5.637) -- (5.117,5.516) -- (5.089,5.373) -- (5.117,5.231) -- (5.198,5.109) -- (5.319,5.029) -- (5.462,5.0) -- (5.605,5.029) -- (5.726,5.109) -- (5.807,5.231) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (2.421,5.245) -- (2.392,5.388) -- (2.311,5.509) -- (2.19,5.59) -- (2.048,5.619) -- (1.905,5.59) -- (1.784,5.509) -- (1.703,5.388) -- (1.674,5.245) -- (1.703,5.103) -- (1.784,4.981) -- (1.905,4.901) -- (2.048,4.872) -- (2.19,4.901) -- (2.311,4.981) -- (2.392,5.103) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (11.691,5.187) -- (11.663,5.33) -- (11.582,5.451) -- (11.461,5.532) -- (11.318,5.561) -- (11.175,5.532) -- (11.054,5.451) -- (10.973,5.33) -- (10.945,5.187) -- (10.973,5.044) -- (11.054,4.923) -- (11.175,4.843) -- (11.318,4.814) -- (11.461,4.843) -- (11.582,4.923) -- (11.663,5.044) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (8.536,4.866) -- (8.508,5.009) -- (8.427,5.13) -- (8.306,5.21) -- (8.163,5.239) -- (8.02,5.21) -- (7.899,5.13) -- (7.818,5.009) -- (7.79,4.866) -- (7.818,4.723) -- (7.899,4.602) -- (8.02,4.521) -- (8.163,4.492) -- (8.306,4.521) -- (8.427,4.602) -- (8.508,4.723) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (5.284,1.733) -- (5.256,1.875) -- (5.175,1.997) -- (5.054,2.077) -- (4.911,2.106) -- (4.768,2.077) -- (4.647,1.997) -- (4.566,1.875) -- (4.538,1.733) -- (4.566,1.59) -- (4.647,1.469) -- (4.768,1.388) -- (4.911,1.359) -- (5.054,1.388) -- (5.175,1.469) -- (5.256,1.59) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (8.757,1.487) -- (8.729,1.63) -- (8.648,1.751) -- (8.527,1.832) -- (8.384,1.86) -- (8.241,1.832) -- (8.12,1.751) -- (8.039,1.63) -- (8.011,1.487) -- (8.039,1.344) -- (8.12,1.223) -- (8.241,1.142) -- (8.384,1.114) -- (8.527,1.142) -- (8.648,1.223) -- (8.729,1.344) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (2.055,1.42) -- (2.027,1.563) -- (1.946,1.684) -- (1.825,1.765) -- (1.682,1.793) -- (1.539,1.765) -- (1.418,1.684) -- (1.337,1.563) -- (1.309,1.42) -- (1.337,1.277) -- (1.418,1.156) -- (1.539,1.075) -- (1.682,1.047) -- (1.825,1.075) -- (1.946,1.156) -- (2.027,1.277) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (3.639,11.224) -- (3.758,11.243) -- (3.865,11.297) -- (3.95,11.382) -- (4.005,11.49) -- (4.024,11.608) -- (4.005,11.727) -- (3.95,11.834) -- (3.865,11.92) -- (3.758,11.974) -- (3.639,11.993) -- (3.639,11.993) -- (3.52,11.974) -- (3.413,11.92) -- (3.328,11.834) -- (3.273,11.727) -- (3.255,11.608) -- (3.273,11.49) -- (3.328,11.382) -- (3.413,11.297) -- (3.52,11.243) -- (3.639,11.224) -- cycle;
\node at (3.639,11.608) {\scalebox{1.613}{\small 1}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.555,9.259) -- (2.674,9.278) -- (2.781,9.333) -- (2.866,9.418) -- (2.92,9.525) -- (2.939,9.644) -- (2.92,9.763) -- (2.866,9.87) -- (2.781,9.955) -- (2.674,10.01) -- (2.555,10.028) -- (2.555,10.028) -- (2.436,10.01) -- (2.329,9.955) -- (2.244,9.87) -- (2.189,9.763) -- (2.17,9.644) -- (2.189,9.525) -- (2.244,9.418) -- (2.329,9.333) -- (2.436,9.278) -- (2.555,9.259) -- cycle;
\node at (2.555,9.644) {\scalebox{1.613}{\small 2}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.945,9.031) -- (5.064,9.05) -- (5.171,9.104) -- (5.256,9.189) -- (5.311,9.297) -- (5.33,9.416) -- (5.311,9.534) -- (5.256,9.642) -- (5.171,9.727) -- (5.064,9.781) -- (4.945,9.8) -- (4.945,9.8) -- (4.826,9.781) -- (4.719,9.727) -- (4.634,9.642) -- (4.579,9.534) -- (4.561,9.416) -- (4.579,9.297) -- (4.634,9.189) -- (4.719,9.104) -- (4.826,9.05) -- (4.945,9.031) -- cycle;
\node at (4.945,9.416) {\scalebox{1.613}{\small 3}};
\filldraw[fill=white, draw=black, line width=0.5pt] (3.218,7.984) -- (3.336,8.003) -- (3.444,8.057) -- (3.529,8.142) -- (3.583,8.25) -- (3.602,8.368) -- (3.583,8.487) -- (3.529,8.594) -- (3.444,8.679) -- (3.336,8.734) -- (3.218,8.753) -- (3.218,8.753) -- (3.099,8.734) -- (2.992,8.679) -- (2.907,8.594) -- (2.852,8.487) -- (2.833,8.368) -- (2.852,8.25) -- (2.907,8.142) -- (2.992,8.057) -- (3.099,8.003) -- (3.218,7.984) -- cycle;
\node at (3.218,8.368) {\scalebox{1.613}{\small 4}};
\filldraw[fill=white, draw=black, line width=0.5pt] (10.844,6.061) -- (10.963,6.08) -- (11.07,6.134) -- (11.155,6.219) -- (11.21,6.326) -- (11.228,6.445) -- (11.21,6.564) -- (11.155,6.671) -- (11.07,6.756) -- (10.963,6.811) -- (10.844,6.83) -- (10.844,6.83) -- (10.725,6.811) -- (10.618,6.756) -- (10.533,6.671) -- (10.478,6.564) -- (10.459,6.445) -- (10.478,6.326) -- (10.533,6.219) -- (10.618,6.134) -- (10.725,6.08) -- (10.844,6.061) -- cycle;
\node at (10.844,6.445) {\scalebox{1.613}{\small 5}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.492,7.824) -- (9.611,7.843) -- (9.718,7.898) -- (9.803,7.983) -- (9.858,8.09) -- (9.877,8.209) -- (9.858,8.328) -- (9.803,8.435) -- (9.718,8.52) -- (9.611,8.575) -- (9.492,8.593) -- (9.492,8.593) -- (9.373,8.575) -- (9.266,8.52) -- (9.181,8.435) -- (9.127,8.328) -- (9.108,8.209) -- (9.127,8.09) -- (9.181,7.983) -- (9.266,7.898) -- (9.373,7.843) -- (9.492,7.824) -- cycle;
\node at (9.492,8.209) {\scalebox{1.613}{\small 6}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.17,5.922) -- (8.289,5.941) -- (8.396,5.996) -- (8.481,6.081) -- (8.536,6.188) -- (8.555,6.307) -- (8.536,6.426) -- (8.481,6.533) -- (8.396,6.618) -- (8.289,6.673) -- (8.17,6.691) -- (8.17,6.691) -- (8.051,6.673) -- (7.944,6.618) -- (7.859,6.533) -- (7.804,6.426) -- (7.786,6.307) -- (7.804,6.188) -- (7.859,6.081) -- (7.944,5.996) -- (8.051,5.941) -- (8.17,5.922) -- cycle;
\node at (8.17,6.307) {\scalebox{1.613}{\small 7}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.129,7.766) -- (6.248,7.785) -- (6.355,7.839) -- (6.44,7.924) -- (6.495,8.031) -- (6.513,8.15) -- (6.495,8.269) -- (6.44,8.376) -- (6.355,8.461) -- (6.248,8.516) -- (6.129,8.535) -- (6.129,8.535) -- (6.01,8.516) -- (5.903,8.461) -- (5.818,8.376) -- (5.763,8.269) -- (5.744,8.15) -- (5.763,8.031) -- (5.818,7.924) -- (5.903,7.839) -- (6.01,7.785) -- (6.129,7.766) -- cycle;
\node at (6.129,8.15) {\scalebox{1.613}{\small 8}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.305,6.217) -- (5.424,6.236) -- (5.531,6.291) -- (5.616,6.376) -- (5.671,6.483) -- (5.689,6.602) -- (5.671,6.721) -- (5.616,6.828) -- (5.531,6.913) -- (5.424,6.967) -- (5.305,6.986) -- (5.305,6.986) -- (5.186,6.967) -- (5.079,6.913) -- (4.994,6.828) -- (4.939,6.721) -- (4.92,6.602) -- (4.939,6.483) -- (4.994,6.376) -- (5.079,6.291) -- (5.186,6.236) -- (5.305,6.217) -- cycle;
\node at (5.305,6.602) {\scalebox{1.613}{\small 9}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.085,5.224) -- (7.204,5.243) -- (7.311,5.298) -- (7.396,5.383) -- (7.451,5.49) -- (7.47,5.609) -- (7.451,5.728) -- (7.396,5.835) -- (7.311,5.92) -- (7.204,5.975) -- (7.085,5.993) -- (6.723,5.993) -- (6.605,5.975) -- (6.497,5.92) -- (6.412,5.835) -- (6.358,5.728) -- (6.339,5.609) -- (6.358,5.49) -- (6.412,5.383) -- (6.497,5.298) -- (6.605,5.243) -- (6.723,5.224) -- cycle;
\node at (6.904,5.609) {\scalebox{1.613}{\small 10}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.597,3.134) -- (5.716,3.152) -- (5.823,3.207) -- (5.908,3.292) -- (5.963,3.399) -- (5.982,3.518) -- (5.963,3.637) -- (5.908,3.744) -- (5.823,3.829) -- (5.716,3.884) -- (5.597,3.903) -- (5.235,3.903) -- (5.117,3.884) -- (5.009,3.829) -- (4.924,3.744) -- (4.87,3.637) -- (4.851,3.518) -- (4.87,3.399) -- (4.924,3.292) -- (5.009,3.207) -- (5.117,3.152) -- (5.235,3.134) -- cycle;
\node at (5.416,3.518) {\scalebox{1.613}{\small 11}};
\filldraw[fill=white, draw=black, line width=0.5pt] (3.916,5.45) -- (4.035,5.469) -- (4.142,5.523) -- (4.227,5.608) -- (4.282,5.716) -- (4.301,5.834) -- (4.282,5.953) -- (4.227,6.06) -- (4.142,6.146) -- (4.035,6.2) -- (3.916,6.219) -- (3.554,6.219) -- (3.435,6.2) -- (3.328,6.146) -- (3.243,6.06) -- (3.188,5.953) -- (3.17,5.834) -- (3.188,5.716) -- (3.243,5.608) -- (3.328,5.523) -- (3.435,5.469) -- (3.554,5.45) -- cycle;
\node at (3.735,5.834) {\scalebox{1.613}{\small 12}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.271,2.927) -- (2.39,2.946) -- (2.497,3.0) -- (2.582,3.085) -- (2.637,3.192) -- (2.655,3.311) -- (2.637,3.43) -- (2.582,3.537) -- (2.497,3.622) -- (2.39,3.677) -- (2.271,3.696) -- (1.909,3.696) -- (1.79,3.677) -- (1.683,3.622) -- (1.598,3.537) -- (1.543,3.43) -- (1.524,3.311) -- (1.543,3.192) -- (1.598,3.085) -- (1.683,3.0) -- (1.79,2.946) -- (1.909,2.927) -- cycle;
\node at (2.09,3.311) {\scalebox{1.613}{\small 13}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.869,5.155) -- (9.988,5.173) -- (10.095,5.228) -- (10.18,5.313) -- (10.235,5.42) -- (10.254,5.539) -- (10.235,5.658) -- (10.18,5.765) -- (10.095,5.85) -- (9.988,5.905) -- (9.869,5.924) -- (9.507,5.924) -- (9.388,5.905) -- (9.281,5.85) -- (9.196,5.765) -- (9.142,5.658) -- (9.123,5.539) -- (9.142,5.42) -- (9.196,5.313) -- (9.281,5.228) -- (9.388,5.173) -- (9.507,5.155) -- cycle;
\node at (9.688,5.539) {\scalebox{1.613}{\small 14}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.699,2.808) -- (8.817,2.826) -- (8.925,2.881) -- (9.01,2.966) -- (9.064,3.073) -- (9.083,3.192) -- (9.064,3.311) -- (9.01,3.418) -- (8.925,3.503) -- (8.817,3.558) -- (8.699,3.577) -- (8.337,3.577) -- (8.218,3.558) -- (8.111,3.503) -- (8.026,3.418) -- (7.971,3.311) -- (7.952,3.192) -- (7.971,3.073) -- (8.026,2.966) -- (8.111,2.881) -- (8.218,2.826) -- (8.337,2.808) -- cycle;
\node at (8.518,3.192) {\scalebox{1.613}{\small 15}};
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\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, E, G, I, L, M & 7 \\ \hline
clairs & A, D, F, H, J, K & 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{I} :}\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 du Moulin ⑤} vers le nord jusqu'à Placette des Ormes \textbf{(D)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue Verte ⑥}, vers l'ouest, jusqu'à Carrefour du Lavoir \textbf{(E)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans le \textbf{sentier des Prés ⑦}, vers le sud, jusqu'à Rond-point de la Gare \textbf{(J)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue de la Mairie ⑮}, vers le sud, jusqu'à Place des Tanneurs \textbf{(L)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue du Stade ⑯}, vers l'ouest, jusqu'à Carrefour Saint-Roch \textbf{(K)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue Neuve ⑰}, vers l'ouest, jusqu'à Coin du Lavoir \textbf{(M)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans le \textbf{chemin des Vignes ⑬}, vers le nord, jusqu'à Place de la Fontaine \textbf{(H)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue de l'Église ⑫}, vers l'est, jusqu'à Carrefour du Moulin \textbf{(G)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue de la Poste ⑨}, vers le nord, jusqu'à Rond-point du Stade \textbf{(F)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans l'\textbf{allée des Peupliers ③}, vers le nord, jusqu'à Place aux Herbes \textbf{(B)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans l'\textbf{avenue de la Gare ①}, vers l'ouest, jusqu'à Fontaine Notre-Dame \textbf{(A)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue du Puits ②}, vers le sud, jusqu'à Place de l'Église \textbf{(C)}.\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}
