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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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\end{center}
\noindent \textbf{Le car part de l'école, au carrefour A, 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 & ⑨ rue du Moulin & \cellcolor{black!32}\bfseries Les carrefours & Ⓘ Place du Marché \\ \hline
① boulevard du Parc & ⑩ chemin du Lavoir & Ⓐ Placette des Ormes & Ⓙ Rond-point du Stade \\ \hline
② venelle du Chat & ⑪ allée des Peupliers & Ⓑ Coin du Lavoir & Ⓚ Rond-point de la Gare \\ \hline
③ rue de la Poste & ⑫ passage du Marché & Ⓒ Carrefour des Tilleuls & Ⓛ Place de la Fontaine \\ \hline
④ allée des Tilleuls & ⑬ chemin de Ronde & Ⓓ Rond-point du Pont & \cellcolor{black!32}\bfseries Les bâtiments \\ \hline
⑤ rue Pasteur & ⑭ rue de l'Église & Ⓔ Carrefour de la Mairie & \textbf{a} l'école \\ \hline
⑥ rue de la Mairie & ⑮ rue Verte & Ⓕ Rond-point des Vaches & \textbf{b} la pharmacie \\ \hline
⑦ chemin Creux & ⑯ quai aux Fleurs & Ⓖ Carrefour de l'Hôpital & \textbf{c} la mairie \\ \hline
⑧ rue Basse & ⑰ rue du Stade & Ⓗ Rond-point de la Poste & \textbf{d} le lavoir \\ \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] (10.318,4.453) -- (10.413,4.286) -- (10.503,4.117) -- (10.59,3.946) -- (10.673,3.773) -- (10.751,3.597) -- (10.826,3.42) -- (10.896,3.242) -- (10.962,3.061) -- (11.024,2.879) -- (11.081,2.696) -- (11.134,2.512) -- (11.183,2.326) -- (11.227,2.139) -- (11.267,1.952);
\draw[line width=0.5pt] (4.134,1.9) -- (4.416,1.852) -- (4.699,1.81) -- (4.983,1.775) -- (5.268,1.746) -- (5.553,1.724) -- (5.84,1.709) -- (6.126,1.701) -- (6.412,1.699) -- (6.699,1.704) -- (6.985,1.716) -- (7.271,1.734) -- (7.556,1.759) -- (7.84,1.791) -- (8.124,1.83);
\draw[line width=0.5pt] (8.124,1.83) -- (8.345,1.873) -- (8.568,1.911) -- (8.791,1.943) -- (9.015,1.97) -- (9.24,1.992) -- (9.465,2.009) -- (9.69,2.02) -- (9.916,2.027) -- (10.142,2.027) -- (10.368,2.023) -- (10.593,2.013) -- (10.819,1.998) -- (11.043,1.978) -- (11.267,1.952);
\draw[line width=0.5pt] (1.391,1.314) -- (1.592,1.326) -- (1.793,1.342) -- (1.993,1.363) -- (2.192,1.389) -- (2.391,1.419) -- (2.589,1.454) -- (2.787,1.494) -- (2.983,1.539) -- (3.178,1.588) -- (3.372,1.641) -- (3.565,1.699) -- (3.756,1.762) -- (3.946,1.829) -- (4.134,1.9);
\filldraw[fill=white, draw=black, line width=0.5pt] (1.641,8.253) -- (1.612,8.396) -- (1.531,8.517) -- (1.41,8.598) -- (1.267,8.626) -- (1.125,8.598) -- (1.003,8.517) -- (0.923,8.396) -- (0.894,8.253) -- (0.923,8.11) -- (1.003,7.989) -- (1.125,7.908) -- (1.267,7.88) -- (1.41,7.908) -- (1.531,7.989) -- (1.612,8.11) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (11.545,7.957) -- (11.517,8.1) -- (11.436,8.221) -- (11.315,8.302) -- (11.172,8.33) -- (11.029,8.302) -- (10.908,8.221) -- (10.827,8.1) -- (10.799,7.957) -- (10.827,7.814) -- (10.908,7.693) -- (11.029,7.612) -- (11.172,7.584) -- (11.315,7.612) -- (11.436,7.693) -- (11.517,7.814) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (7.594,7.936) -- (7.566,8.079) -- (7.485,8.2) -- (7.364,8.281) -- (7.221,8.31) -- (7.078,8.281) -- (6.957,8.2) -- (6.876,8.079) -- (6.848,7.936) -- (6.876,7.794) -- (6.957,7.673) -- (7.078,7.592) -- (7.221,7.563) -- (7.364,7.592) -- (7.485,7.673) -- (7.566,7.794) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (5.232,7.684) -- (5.204,7.827) -- (5.123,7.948) -- (5.002,8.029) -- (4.859,8.057) -- (4.716,8.029) -- (4.595,7.948) -- (4.514,7.827) -- (4.485,7.684) -- (4.514,7.541) -- (4.595,7.42) -- (4.716,7.339) -- (4.859,7.311) -- (5.002,7.339) -- (5.123,7.42) -- (5.204,7.541) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (1.877,4.619) -- (1.849,4.762) -- (1.768,4.883) -- (1.647,4.964) -- (1.504,4.992) -- (1.361,4.964) -- (1.24,4.883) -- (1.159,4.762) -- (1.131,4.619) -- (1.159,4.476) -- (1.24,4.355) -- (1.361,4.274) -- (1.504,4.246) -- (1.647,4.274) -- (1.768,4.355) -- (1.849,4.476) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (8.381,4.52) -- (8.353,4.662) -- (8.272,4.783) -- (8.151,4.864) -- (8.008,4.893) -- (7.865,4.864) -- (7.744,4.783) -- (7.663,4.662) -- (7.635,4.52) -- (7.663,4.377) -- (7.744,4.256) -- (7.865,4.175) -- (8.008,4.146) -- (8.151,4.175) -- (8.272,4.256) -- (8.353,4.377) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (4.541,4.502) -- (4.513,4.645) -- (4.432,4.766) -- (4.311,4.847) -- (4.168,4.876) -- (4.025,4.847) -- (3.904,4.766) -- (3.823,4.645) -- (3.795,4.502) -- (3.823,4.36) -- (3.904,4.239) -- (4.025,4.158) -- (4.168,4.129) -- (4.311,4.158) -- (4.432,4.239) -- (4.513,4.36) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (10.691,4.453) -- (10.663,4.596) -- (10.582,4.717) -- (10.461,4.798) -- (10.318,4.826) -- (10.175,4.798) -- (10.054,4.717) -- (9.973,4.596) -- (9.945,4.453) -- (9.973,4.31) -- (10.054,4.189) -- (10.175,4.108) -- (10.318,4.08) -- (10.461,4.108) -- (10.582,4.189) -- (10.663,4.31) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (11.641,1.952) -- (11.612,2.095) -- (11.531,2.216) -- (11.41,2.297) -- (11.267,2.325) -- (11.125,2.297) -- (11.003,2.216) -- (10.923,2.095) -- (10.894,1.952) -- (10.923,1.809) -- (11.003,1.688) -- (11.125,1.607) -- (11.267,1.579) -- (11.41,1.607) -- (11.531,1.688) -- (11.612,1.809) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (4.507,1.9) -- (4.479,2.043) -- (4.398,2.164) -- (4.277,2.245) -- (4.134,2.274) -- (3.991,2.245) -- (3.87,2.164) -- (3.789,2.043) -- (3.761,1.9) -- (3.789,1.758) -- (3.87,1.637) -- (3.991,1.556) -- (4.134,1.527) -- (4.277,1.556) -- (4.398,1.637) -- (4.479,1.758) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (8.497,1.83) -- (8.468,1.973) -- (8.388,2.094) -- (8.267,2.175) -- (8.124,2.203) -- (7.981,2.175) -- (7.86,2.094) -- (7.779,1.973) -- (7.75,1.83) -- (7.779,1.687) -- (7.86,1.566) -- (7.981,1.485) -- (8.124,1.457) -- (8.267,1.485) -- (8.388,1.566) -- (8.468,1.687) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (1.765,1.314) -- (1.736,1.457) -- (1.655,1.578) -- (1.534,1.659) -- (1.391,1.687) -- (1.248,1.659) -- (1.127,1.578) -- (1.047,1.457) -- (1.018,1.314) -- (1.047,1.171) -- (1.127,1.05) -- (1.248,0.969) -- (1.391,0.941) -- (1.534,0.969) -- (1.655,1.05) -- (1.736,1.171) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (3.1,7.816) -- (3.219,7.834) -- (3.326,7.889) -- (3.411,7.974) -- (3.465,8.081) -- (3.484,8.2) -- (3.465,8.319) -- (3.411,8.426) -- (3.326,8.511) -- (3.219,8.566) -- (3.1,8.585) -- (3.1,8.585) -- (2.981,8.566) -- (2.874,8.511) -- (2.789,8.426) -- (2.734,8.319) -- (2.715,8.2) -- (2.734,8.081) -- (2.789,7.974) -- (2.874,7.889) -- (2.981,7.834) -- (3.1,7.816) -- cycle;
\node at (3.1,8.2) {\scalebox{1.604}{\small 1}};
\filldraw[fill=white, draw=black, line width=0.5pt] (1.919,6.086) -- (2.038,6.105) -- (2.145,6.16) -- (2.23,6.245) -- (2.285,6.352) -- (2.304,6.471) -- (2.285,6.59) -- (2.23,6.697) -- (2.145,6.782) -- (2.038,6.837) -- (1.919,6.855) -- (1.919,6.855) -- (1.8,6.837) -- (1.693,6.782) -- (1.608,6.697) -- (1.554,6.59) -- (1.535,6.471) -- (1.554,6.352) -- (1.608,6.245) -- (1.693,6.16) -- (1.8,6.105) -- (1.919,6.086) -- cycle;
\node at (1.919,6.471) {\scalebox{1.604}{\small 2}};
\filldraw[fill=white, draw=black, line width=0.5pt] (10.974,5.765) -- (11.093,5.783) -- (11.2,5.838) -- (11.285,5.923) -- (11.34,6.03) -- (11.359,6.149) -- (11.34,6.268) -- (11.285,6.375) -- (11.2,6.46) -- (11.093,6.515) -- (10.974,6.534) -- (10.974,6.534) -- (10.855,6.515) -- (10.748,6.46) -- (10.663,6.375) -- (10.608,6.268) -- (10.59,6.149) -- (10.608,6.03) -- (10.663,5.923) -- (10.748,5.838) -- (10.855,5.783) -- (10.974,5.765) -- cycle;
\node at (10.974,6.149) {\scalebox{1.604}{\small 3}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.194,8.11) -- (9.313,8.128) -- (9.42,8.183) -- (9.505,8.268) -- (9.56,8.375) -- (9.578,8.494) -- (9.56,8.613) -- (9.505,8.72) -- (9.42,8.805) -- (9.313,8.86) -- (9.194,8.879) -- (9.194,8.879) -- (9.075,8.86) -- (8.968,8.805) -- (8.883,8.72) -- (8.828,8.613) -- (8.809,8.494) -- (8.828,8.375) -- (8.883,8.268) -- (8.968,8.183) -- (9.075,8.128) -- (9.194,8.11) -- cycle;
\node at (9.194,8.494) {\scalebox{1.604}{\small 4}};
\filldraw[fill=white, draw=black, line width=0.5pt] (7.848,5.897) -- (7.967,5.916) -- (8.074,5.971) -- (8.159,6.056) -- (8.214,6.163) -- (8.233,6.282) -- (8.214,6.401) -- (8.159,6.508) -- (8.074,6.593) -- (7.967,6.648) -- (7.848,6.666) -- (7.848,6.666) -- (7.73,6.648) -- (7.622,6.593) -- (7.537,6.508) -- (7.483,6.401) -- (7.464,6.282) -- (7.483,6.163) -- (7.537,6.056) -- (7.622,5.971) -- (7.73,5.916) -- (7.848,5.897) -- cycle;
\node at (7.848,6.282) {\scalebox{1.604}{\small 5}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.989,7.905) -- (6.107,7.924) -- (6.215,7.979) -- (6.3,8.064) -- (6.354,8.171) -- (6.373,8.29) -- (6.354,8.409) -- (6.3,8.516) -- (6.215,8.601) -- (6.107,8.656) -- (5.989,8.674) -- (5.989,8.674) -- (5.87,8.656) -- (5.763,8.601) -- (5.678,8.516) -- (5.623,8.409) -- (5.604,8.29) -- (5.623,8.171) -- (5.678,8.064) -- (5.763,7.979) -- (5.87,7.924) -- (5.989,7.905) -- cycle;
\node at (5.989,8.29) {\scalebox{1.604}{\small 6}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.758,5.655) -- (4.877,5.674) -- (4.984,5.729) -- (5.069,5.814) -- (5.124,5.921) -- (5.142,6.04) -- (5.124,6.159) -- (5.069,6.266) -- (4.984,6.351) -- (4.877,6.406) -- (4.758,6.425) -- (4.758,6.425) -- (4.639,6.406) -- (4.532,6.351) -- (4.447,6.266) -- (4.392,6.159) -- (4.373,6.04) -- (4.392,5.921) -- (4.447,5.814) -- (4.532,5.729) -- (4.639,5.674) -- (4.758,5.655) -- cycle;
\node at (4.758,6.04) {\scalebox{1.604}{\small 7}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.858,4.67) -- (2.976,4.689) -- (3.084,4.744) -- (3.169,4.829) -- (3.223,4.936) -- (3.242,5.055) -- (3.223,5.174) -- (3.169,5.281) -- (3.084,5.366) -- (2.976,5.42) -- (2.858,5.439) -- (2.858,5.439) -- (2.739,5.42) -- (2.632,5.366) -- (2.547,5.281) -- (2.492,5.174) -- (2.473,5.055) -- (2.492,4.936) -- (2.547,4.829) -- (2.632,4.744) -- (2.739,4.689) -- (2.858,4.67) -- cycle;
\node at (2.858,5.055) {\scalebox{1.604}{\small 8}};
\filldraw[fill=white, draw=black, line width=0.5pt] (1.696,2.574) -- (1.814,2.592) -- (1.922,2.647) -- (2.007,2.732) -- (2.061,2.839) -- (2.08,2.958) -- (2.061,3.077) -- (2.007,3.184) -- (1.922,3.269) -- (1.814,3.324) -- (1.696,3.343) -- (1.696,3.343) -- (1.577,3.324) -- (1.47,3.269) -- (1.385,3.184) -- (1.33,3.077) -- (1.311,2.958) -- (1.33,2.839) -- (1.385,2.732) -- (1.47,2.647) -- (1.577,2.592) -- (1.696,2.574) -- cycle;
\node at (1.696,2.958) {\scalebox{1.604}{\small 9}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.733,4.901) -- (9.852,4.92) -- (9.959,4.975) -- (10.044,5.06) -- (10.099,5.167) -- (10.117,5.286) -- (10.099,5.405) -- (10.044,5.512) -- (9.959,5.597) -- (9.852,5.652) -- (9.733,5.671) -- (9.371,5.671) -- (9.252,5.652) -- (9.145,5.597) -- (9.06,5.512) -- (9.005,5.405) -- (8.986,5.286) -- (9.005,5.167) -- (9.06,5.06) -- (9.145,4.975) -- (9.252,4.92) -- (9.371,4.901) -- cycle;
\node at (9.552,5.286) {\scalebox{1.604}{\small 10}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.52,2.802) -- (8.639,2.821) -- (8.746,2.875) -- (8.831,2.96) -- (8.886,3.068) -- (8.905,3.186) -- (8.886,3.305) -- (8.831,3.412) -- (8.746,3.497) -- (8.639,3.552) -- (8.52,3.571) -- (8.158,3.571) -- (8.039,3.552) -- (7.932,3.497) -- (7.847,3.412) -- (7.792,3.305) -- (7.774,3.186) -- (7.792,3.068) -- (7.847,2.96) -- (7.932,2.875) -- (8.039,2.821) -- (8.158,2.802) -- cycle;
\node at (8.339,3.186) {\scalebox{1.604}{\small 11}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.267,4.669) -- (6.385,4.688) -- (6.493,4.743) -- (6.578,4.828) -- (6.632,4.935) -- (6.651,5.054) -- (6.632,5.173) -- (6.578,5.28) -- (6.493,5.365) -- (6.385,5.42) -- (6.267,5.438) -- (5.905,5.438) -- (5.786,5.42) -- (5.679,5.365) -- (5.594,5.28) -- (5.539,5.173) -- (5.52,5.054) -- (5.539,4.935) -- (5.594,4.828) -- (5.679,4.743) -- (5.786,4.688) -- (5.905,4.669) -- cycle;
\node at (6.086,5.054) {\scalebox{1.604}{\small 12}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.609,2.813) -- (4.728,2.832) -- (4.835,2.887) -- (4.92,2.972) -- (4.975,3.079) -- (4.994,3.198) -- (4.975,3.317) -- (4.92,3.424) -- (4.835,3.509) -- (4.728,3.564) -- (4.609,3.582) -- (4.247,3.582) -- (4.128,3.564) -- (4.021,3.509) -- (3.936,3.424) -- (3.881,3.317) -- (3.863,3.198) -- (3.881,3.079) -- (3.936,2.972) -- (4.021,2.887) -- (4.128,2.832) -- (4.247,2.813) -- cycle;
\node at (4.428,3.198) {\scalebox{1.604}{\small 13}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.436,2.993) -- (11.555,3.012) -- (11.662,3.067) -- (11.747,3.152) -- (11.802,3.259) -- (11.821,3.378) -- (11.802,3.497) -- (11.747,3.604) -- (11.662,3.689) -- (11.555,3.744) -- (11.436,3.763) -- (11.074,3.763) -- (10.956,3.744) -- (10.848,3.689) -- (10.763,3.604) -- (10.709,3.497) -- (10.69,3.378) -- (10.709,3.259) -- (10.763,3.152) -- (10.848,3.067) -- (10.956,3.012) -- (11.074,2.993) -- cycle;
\node at (11.255,3.378) {\scalebox{1.604}{\small 14}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.314,1.7) -- (6.432,1.719) -- (6.54,1.774) -- (6.625,1.859) -- (6.679,1.966) -- (6.698,2.085) -- (6.679,2.204) -- (6.625,2.311) -- (6.54,2.396) -- (6.432,2.451) -- (6.314,2.47) -- (5.952,2.47) -- (5.833,2.451) -- (5.726,2.396) -- (5.641,2.311) -- (5.586,2.204) -- (5.567,2.085) -- (5.586,1.966) -- (5.641,1.859) -- (5.726,1.774) -- (5.833,1.719) -- (5.952,1.7) -- cycle;
\node at (6.133,2.085) {\scalebox{1.604}{\small 15}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.857,2.02) -- (9.975,2.039) -- (10.083,2.094) -- (10.168,2.179) -- (10.222,2.286) -- (10.241,2.405) -- (10.222,2.523) -- (10.168,2.631) -- (10.083,2.716) -- (9.975,2.77) -- (9.857,2.789) -- (9.495,2.789) -- (9.376,2.77) -- (9.269,2.716) -- (9.184,2.631) -- (9.129,2.523) -- (9.11,2.405) -- (9.129,2.286) -- (9.184,2.179) -- (9.269,2.094) -- (9.376,2.039) -- (9.495,2.02) -- cycle;
\node at (9.676,2.405) {\scalebox{1.604}{\small 16}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.887,1.486) -- (3.006,1.504) -- (3.113,1.559) -- (3.198,1.644) -- (3.253,1.751) -- (3.272,1.87) -- (3.253,1.989) -- (3.198,2.096) -- (3.113,2.181) -- (3.006,2.236) -- (2.887,2.255) -- (2.525,2.255) -- (2.407,2.236) -- (2.299,2.181) -- (2.214,2.096) -- (2.16,1.989) -- (2.141,1.87) -- (2.16,1.751) -- (2.214,1.644) -- (2.299,1.559) -- (2.407,1.504) -- (2.525,1.486) -- cycle;
\node at (2.706,1.87) {\scalebox{1.604}{\small 17}};
\filldraw[fill=yellow!35, draw=black, line width=0.5pt] (0.967,7.953) -- (1.567,7.953) -- (1.567,8.553) -- (0.967,8.553) -- cycle;
\node at (1.267,8.253) {\scalebox{1.604}{\small a}};
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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, D, E, F, I, J & 6 \\ \hline
clairs & A, C, G, H, K, L & 6 \\ \hline
\end{tabular}
\end{center}
\noindent{\color{red!80!black}\bfseries Il y a \textbf{6} carrefours sombres et \textbf{6} clairs. Il y en a \textbf{autant} de chaque côté.}\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 12 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{Oui.} Un circuit existe :}\par\addvspace{0.4em}
\newpage
\noindent \textbf{Le trajet du car}\par\addvspace{0.35em}
\noindent Le car sort de l'école et prend le \textbf{boulevard du Parc ①} vers l'est jusqu'à Rond-point du Pont \textbf{(D)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue de la Mairie ⑥}, vers l'est, jusqu'à Carrefour des Tilleuls \textbf{(C)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans l'\textbf{allée des Tilleuls ④}, vers l'est, jusqu'à Coin du Lavoir \textbf{(B)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue de la Poste ③}, vers le sud, jusqu'à Rond-point de la Poste \textbf{(H)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue de l'Église ⑭}, vers le sud, jusqu'à Place du Marché \textbf{(I)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans le \textbf{quai aux Fleurs ⑯}, vers l'ouest, jusqu'à Rond-point de la Gare \textbf{(K)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans l'\textbf{allée des Peupliers ⑪}, vers le nord, jusqu'à Rond-point des Vaches \textbf{(F)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans le \textbf{passage du Marché ⑫}, vers l'ouest, jusqu'à Carrefour de l'Hôpital \textbf{(G)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans le \textbf{chemin de Ronde ⑬}, vers le sud, jusqu'à Rond-point du Stade \textbf{(J)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue du Stade ⑰}, vers l'ouest, jusqu'à Place de la Fontaine \textbf{(L)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue du Moulin ⑨}, vers le nord, jusqu'à Carrefour de la Mairie \textbf{(E)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{venelle du Chat ②}, vers le nord, jusqu'à Placette des Ormes \textbf{(A)}.\par\addvspace{0.35em}
\noindent{\color{red!80!black}\bfseries Le car est passé une fois par chaque carrefour et se retrouve à l'école.}\par\addvspace{0.4em}
\noindent \textbf{4.}\par\addvspace{0.35em}
\noindent{\color{red!80!black}\bfseries \textbf{Oui}, et c'est déjà fait : le trajet ci-dessus dessert tous les carrefours. Il suffit au car de s'arrêter avant le dernier trajet de retour.}\par\addvspace{0.4em}
\end{document}
