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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 L, 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 Stade & \cellcolor{black!32}\bfseries Les carrefours & Ⓘ Rond-point de la Gare \\ \hline
① rue des Jardins & ⑩ rue des Écoles & Ⓐ Place Sainte-Croix & Ⓙ Place aux Herbes \\ \hline
② rue Basse & ⑪ avenue de la Gare & Ⓑ Rond-point des Vaches & Ⓚ Carrefour de l'Hôpital \\ \hline
③ rue de la Mairie & ⑫ venelle du Chat & Ⓒ Coin du Lavoir & Ⓛ Placette des Ormes \\ \hline
④ chemin des Vignes & ⑬ rue du Pont & Ⓓ Carrefour du Moulin & \cellcolor{black!32}\bfseries Les bâtiments \\ \hline
⑤ rue du Four & ⑭ boulevard du Parc & Ⓔ Rond-point du Pont & \textbf{a} l'école \\ \hline
⑥ quai aux Fleurs & ⑮ rue Neuve & Ⓕ Carrefour du Lavoir & \textbf{b} le stade \\ \hline
⑦ allée des Tilleuls & ⑯ rue Pasteur & Ⓖ Carrefour des Tilleuls & \textbf{c} le cimetière \\ \hline
⑧ passage du Marché & ⑰ allée des Peupliers & Ⓗ Rond-point du Stade & \textbf{d} le marché couvert \\ \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] (1.818,5.891) -- (1.852,5.655) -- (1.88,5.419) -- (1.903,5.182) -- (1.92,4.945) -- (1.932,4.707) -- (1.938,4.469) -- (1.938,4.231) -- (1.933,3.993) -- (1.922,3.755) -- (1.906,3.518) -- (1.884,3.281) -- (1.856,3.045) -- (1.823,2.809) -- (1.785,2.574);
\draw[line width=0.5pt] (7.917,5.713) -- (7.897,5.456) -- (7.883,5.198) -- (7.874,4.94) -- (7.872,4.682) -- (7.876,4.423) -- (7.886,4.165) -- (7.902,3.907) -- (7.925,3.65) -- (7.953,3.393) -- (7.987,3.137) -- (8.027,2.882) -- (8.073,2.628) -- (8.125,2.375) -- (8.184,2.123);
\draw[line width=0.5pt] (1.785,2.574) -- (1.962,2.579) -- (2.139,2.579) -- (2.316,2.576) -- (2.493,2.568) -- (2.67,2.555) -- (2.846,2.539) -- (3.022,2.519) -- (3.198,2.494) -- (3.372,2.466) -- (3.547,2.433) -- (3.72,2.396) -- (3.892,2.355) -- (4.063,2.31) -- (4.234,2.261);
\draw[line width=0.5pt] (4.234,2.261) -- (4.512,2.208) -- (4.792,2.162) -- (5.072,2.122) -- (5.354,2.089) -- (5.636,2.062) -- (5.919,2.042) -- (6.203,2.029) -- (6.487,2.023) -- (6.77,2.023) -- (7.054,2.029) -- (7.337,2.043) -- (7.62,2.063) -- (7.902,2.09) -- (8.184,2.123);
\filldraw[fill=white, draw=black, line width=0.5pt] (8.377,12.123) -- (8.348,12.266) -- (8.267,12.387) -- (8.146,12.468) -- (8.004,12.496) -- (7.861,12.468) -- (7.74,12.387) -- (7.659,12.266) -- (7.63,12.123) -- (7.659,11.98) -- (7.74,11.859) -- (7.861,11.778) -- (8.004,11.75) -- (8.146,11.778) -- (8.267,11.859) -- (8.348,11.98) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (4.818,12.007) -- (4.79,12.149) -- (4.709,12.271) -- (4.588,12.351) -- (4.445,12.38) -- (4.302,12.351) -- (4.181,12.271) -- (4.1,12.149) -- (4.072,12.007) -- (4.1,11.864) -- (4.181,11.743) -- (4.302,11.662) -- (4.445,11.633) -- (4.588,11.662) -- (4.709,11.743) -- (4.79,11.864) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (1.909,11.759) -- (1.88,11.902) -- (1.799,12.023) -- (1.678,12.104) -- (1.535,12.132) -- (1.393,12.104) -- (1.272,12.023) -- (1.191,11.902) -- (1.162,11.759) -- (1.191,11.616) -- (1.272,11.495) -- (1.393,11.414) -- (1.535,11.386) -- (1.678,11.414) -- (1.799,11.495) -- (1.88,11.616) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (8.212,9.139) -- (8.184,9.282) -- (8.103,9.403) -- (7.982,9.484) -- (7.839,9.512) -- (7.696,9.484) -- (7.575,9.403) -- (7.494,9.282) -- (7.466,9.139) -- (7.494,8.996) -- (7.575,8.875) -- (7.696,8.794) -- (7.839,8.766) -- (7.982,8.794) -- (8.103,8.875) -- (8.184,8.996) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (4.549,8.919) -- (4.521,9.062) -- (4.44,9.183) -- (4.319,9.264) -- (4.176,9.292) -- (4.033,9.264) -- (3.912,9.183) -- (3.831,9.062) -- (3.803,8.919) -- (3.831,8.776) -- (3.912,8.655) -- (4.033,8.574) -- (4.176,8.546) -- (4.319,8.574) -- (4.44,8.655) -- (4.521,8.776) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (1.713,8.593) -- (1.685,8.735) -- (1.604,8.856) -- (1.483,8.937) -- (1.34,8.966) -- (1.197,8.937) -- (1.076,8.856) -- (0.995,8.735) -- (0.967,8.593) -- (0.995,8.45) -- (1.076,8.329) -- (1.197,8.248) -- (1.34,8.219) -- (1.483,8.248) -- (1.604,8.329) -- (1.685,8.45) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (5.052,5.903) -- (5.024,6.046) -- (4.943,6.167) -- (4.822,6.248) -- (4.679,6.277) -- (4.536,6.248) -- (4.415,6.167) -- (4.334,6.046) -- (4.306,5.903) -- (4.334,5.761) -- (4.415,5.64) -- (4.536,5.559) -- (4.679,5.53) -- (4.822,5.559) -- (4.943,5.64) -- (5.024,5.761) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (2.191,5.891) -- (2.163,6.033) -- (2.082,6.154) -- (1.961,6.235) -- (1.818,6.264) -- (1.675,6.235) -- (1.554,6.154) -- (1.473,6.033) -- (1.444,5.891) -- (1.473,5.748) -- (1.554,5.627) -- (1.675,5.546) -- (1.818,5.517) -- (1.961,5.546) -- (2.082,5.627) -- (2.163,5.748) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (8.291,5.713) -- (8.262,5.856) -- (8.181,5.977) -- (8.06,6.058) -- (7.917,6.087) -- (7.775,6.058) -- (7.654,5.977) -- (7.573,5.856) -- (7.544,5.713) -- (7.573,5.57) -- (7.654,5.449) -- (7.775,5.369) -- (7.917,5.34) -- (8.06,5.369) -- (8.181,5.449) -- (8.262,5.57) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (2.158,2.574) -- (2.13,2.717) -- (2.049,2.838) -- (1.928,2.919) -- (1.785,2.948) -- (1.642,2.919) -- (1.521,2.838) -- (1.44,2.717) -- (1.412,2.574) -- (1.44,2.432) -- (1.521,2.31) -- (1.642,2.23) -- (1.785,2.201) -- (1.928,2.23) -- (2.049,2.31) -- (2.13,2.432) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (4.607,2.261) -- (4.578,2.404) -- (4.497,2.525) -- (4.376,2.606) -- (4.234,2.634) -- (4.091,2.606) -- (3.97,2.525) -- (3.889,2.404) -- (3.86,2.261) -- (3.889,2.118) -- (3.97,1.997) -- (4.091,1.916) -- (4.234,1.888) -- (4.376,1.916) -- (4.497,1.997) -- (4.578,2.118) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (8.557,2.123) -- (8.528,2.266) -- (8.447,2.387) -- (8.326,2.468) -- (8.184,2.496) -- (8.041,2.468) -- (7.92,2.387) -- (7.839,2.266) -- (7.81,2.123) -- (7.839,1.98) -- (7.92,1.859) -- (8.041,1.778) -- (8.184,1.75) -- (8.326,1.778) -- (8.447,1.859) -- (8.528,1.98) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (8.182,10.232) -- (8.301,10.251) -- (8.408,10.306) -- (8.493,10.391) -- (8.548,10.498) -- (8.567,10.617) -- (8.548,10.736) -- (8.493,10.843) -- (8.408,10.928) -- (8.301,10.982) -- (8.182,11.001) -- (8.182,11.001) -- (8.063,10.982) -- (7.956,10.928) -- (7.871,10.843) -- (7.816,10.736) -- (7.798,10.617) -- (7.816,10.498) -- (7.871,10.391) -- (7.956,10.306) -- (8.063,10.251) -- (8.182,10.232) -- cycle;
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\filldraw[fill=white, draw=black, line width=0.5pt] (6.207,12.212) -- (6.326,12.23) -- (6.433,12.285) -- (6.518,12.37) -- (6.572,12.477) -- (6.591,12.596) -- (6.572,12.715) -- (6.518,12.822) -- (6.433,12.907) -- (6.326,12.962) -- (6.207,12.981) -- (6.207,12.981) -- (6.088,12.962) -- (5.981,12.907) -- (5.896,12.822) -- (5.841,12.715) -- (5.822,12.596) -- (5.841,12.477) -- (5.896,12.37) -- (5.981,12.285) -- (6.088,12.23) -- (6.207,12.212) -- cycle;
\node at (6.207,12.596) {\scalebox{1.236}{\small 2}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.566,10.056) -- (4.685,10.075) -- (4.792,10.129) -- (4.877,10.214) -- (4.932,10.322) -- (4.951,10.44) -- (4.932,10.559) -- (4.877,10.666) -- (4.792,10.752) -- (4.685,10.806) -- (4.566,10.825) -- (4.566,10.825) -- (4.447,10.806) -- (4.34,10.752) -- (4.255,10.666) -- (4.2,10.559) -- (4.182,10.44) -- (4.2,10.322) -- (4.255,10.214) -- (4.34,10.129) -- (4.447,10.075) -- (4.566,10.056) -- cycle;
\node at (4.566,10.44) {\scalebox{1.236}{\small 3}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.947,12.001) -- (3.066,12.02) -- (3.173,12.075) -- (3.258,12.16) -- (3.313,12.267) -- (3.332,12.386) -- (3.313,12.505) -- (3.258,12.612) -- (3.173,12.697) -- (3.066,12.752) -- (2.947,12.77) -- (2.947,12.77) -- (2.828,12.752) -- (2.721,12.697) -- (2.636,12.612) -- (2.582,12.505) -- (2.563,12.386) -- (2.582,12.267) -- (2.636,12.16) -- (2.721,12.075) -- (2.828,12.02) -- (2.947,12.001) -- cycle;
\node at (2.947,12.386) {\scalebox{1.236}{\small 4}};
\filldraw[fill=white, draw=black, line width=0.5pt] (1.691,9.776) -- (1.81,9.794) -- (1.917,9.849) -- (2.002,9.934) -- (2.057,10.041) -- (2.075,10.16) -- (2.057,10.279) -- (2.002,10.386) -- (1.917,10.471) -- (1.81,10.526) -- (1.691,10.545) -- (1.691,10.545) -- (1.572,10.526) -- (1.465,10.471) -- (1.38,10.386) -- (1.325,10.279) -- (1.306,10.16) -- (1.325,10.041) -- (1.38,9.934) -- (1.465,9.849) -- (1.572,9.794) -- (1.691,9.776) -- cycle;
\node at (1.691,10.16) {\scalebox{1.236}{\small 5}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.404,7.054) -- (8.523,7.073) -- (8.63,7.127) -- (8.715,7.212) -- (8.77,7.319) -- (8.788,7.438) -- (8.77,7.557) -- (8.715,7.664) -- (8.63,7.749) -- (8.523,7.804) -- (8.404,7.823) -- (8.404,7.823) -- (8.285,7.804) -- (8.178,7.749) -- (8.093,7.664) -- (8.038,7.557) -- (8.019,7.438) -- (8.038,7.319) -- (8.093,7.212) -- (8.178,7.127) -- (8.285,7.073) -- (8.404,7.054) -- cycle;
\node at (8.404,7.438) {\scalebox{1.236}{\small 6}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.994,8.877) -- (6.112,8.896) -- (6.22,8.951) -- (6.305,9.036) -- (6.359,9.143) -- (6.378,9.262) -- (6.359,9.38) -- (6.305,9.488) -- (6.22,9.573) -- (6.112,9.627) -- (5.994,9.646) -- (5.994,9.646) -- (5.875,9.627) -- (5.767,9.573) -- (5.682,9.488) -- (5.628,9.38) -- (5.609,9.262) -- (5.628,9.143) -- (5.682,9.036) -- (5.767,8.951) -- (5.875,8.896) -- (5.994,8.877) -- cycle;
\node at (5.994,9.262) {\scalebox{1.236}{\small 7}};
\filldraw[fill=white, draw=black, line width=0.5pt] (4.931,7.111) -- (5.05,7.129) -- (5.157,7.184) -- (5.242,7.269) -- (5.297,7.376) -- (5.316,7.495) -- (5.297,7.614) -- (5.242,7.721) -- (5.157,7.806) -- (5.05,7.861) -- (4.931,7.88) -- (4.931,7.88) -- (4.812,7.861) -- (4.705,7.806) -- (4.62,7.721) -- (4.565,7.614) -- (4.547,7.495) -- (4.565,7.376) -- (4.62,7.269) -- (4.705,7.184) -- (4.812,7.129) -- (4.931,7.111) -- cycle;
\node at (4.931,7.495) {\scalebox{1.236}{\small 8}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.728,8.636) -- (2.846,8.655) -- (2.954,8.71) -- (3.039,8.795) -- (3.093,8.902) -- (3.112,9.021) -- (3.093,9.139) -- (3.039,9.247) -- (2.954,9.332) -- (2.846,9.386) -- (2.728,9.405) -- (2.728,9.405) -- (2.609,9.386) -- (2.502,9.332) -- (2.416,9.247) -- (2.362,9.139) -- (2.343,9.021) -- (2.362,8.902) -- (2.416,8.795) -- (2.502,8.71) -- (2.609,8.655) -- (2.728,8.636) -- cycle;
\node at (2.728,9.021) {\scalebox{1.236}{\small 9}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.25,6.944) -- (2.369,6.963) -- (2.476,7.017) -- (2.561,7.102) -- (2.616,7.209) -- (2.634,7.328) -- (2.616,7.447) -- (2.561,7.554) -- (2.476,7.639) -- (2.369,7.694) -- (2.25,7.713) -- (1.888,7.713) -- (1.769,7.694) -- (1.662,7.639) -- (1.577,7.554) -- (1.522,7.447) -- (1.503,7.328) -- (1.522,7.209) -- (1.577,7.102) -- (1.662,7.017) -- (1.769,6.963) -- (1.888,6.944) -- cycle;
\node at (2.069,7.328) {\scalebox{1.236}{\small 10}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.494,5.674) -- (6.613,5.693) -- (6.72,5.748) -- (6.805,5.833) -- (6.86,5.94) -- (6.878,6.059) -- (6.86,6.177) -- (6.805,6.285) -- (6.72,6.37) -- (6.613,6.424) -- (6.494,6.443) -- (6.132,6.443) -- (6.013,6.424) -- (5.906,6.37) -- (5.821,6.285) -- (5.766,6.177) -- (5.747,6.059) -- (5.766,5.94) -- (5.821,5.833) -- (5.906,5.748) -- (6.013,5.693) -- (6.132,5.674) -- cycle;
\node at (6.313,6.059) {\scalebox{1.236}{\small 11}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.169,3.633) -- (5.288,3.652) -- (5.395,3.706) -- (5.48,3.791) -- (5.535,3.898) -- (5.554,4.017) -- (5.535,4.136) -- (5.48,4.243) -- (5.395,4.328) -- (5.288,4.383) -- (5.169,4.402) -- (4.807,4.402) -- (4.688,4.383) -- (4.581,4.328) -- (4.496,4.243) -- (4.442,4.136) -- (4.423,4.017) -- (4.442,3.898) -- (4.496,3.791) -- (4.581,3.706) -- (4.688,3.652) -- (4.807,3.633) -- cycle;
\node at (4.988,4.017) {\scalebox{1.236}{\small 12}};
\filldraw[fill=white, draw=black, line width=0.5pt] (3.428,5.779) -- (3.547,5.798) -- (3.654,5.852) -- (3.739,5.937) -- (3.794,6.045) -- (3.813,6.163) -- (3.794,6.282) -- (3.739,6.389) -- (3.654,6.475) -- (3.547,6.529) -- (3.428,6.548) -- (3.066,6.548) -- (2.947,6.529) -- (2.84,6.475) -- (2.755,6.389) -- (2.7,6.282) -- (2.682,6.163) -- (2.7,6.045) -- (2.755,5.937) -- (2.84,5.852) -- (2.947,5.798) -- (3.066,5.779) -- cycle;
\node at (3.247,6.163) {\scalebox{1.236}{\small 13}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.503,3.843) -- (2.622,3.862) -- (2.729,3.916) -- (2.815,4.001) -- (2.869,4.108) -- (2.888,4.227) -- (2.869,4.346) -- (2.815,4.453) -- (2.729,4.538) -- (2.622,4.593) -- (2.503,4.612) -- (2.142,4.612) -- (2.023,4.593) -- (1.916,4.538) -- (1.83,4.453) -- (1.776,4.346) -- (1.757,4.227) -- (1.776,4.108) -- (1.83,4.001) -- (1.916,3.916) -- (2.023,3.862) -- (2.142,3.843) -- cycle;
\node at (2.323,4.227) {\scalebox{1.236}{\small 14}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.467,3.551) -- (8.586,3.57) -- (8.693,3.625) -- (8.778,3.71) -- (8.833,3.817) -- (8.851,3.936) -- (8.833,4.055) -- (8.778,4.162) -- (8.693,4.247) -- (8.586,4.301) -- (8.467,4.32) -- (8.105,4.32) -- (7.986,4.301) -- (7.879,4.247) -- (7.794,4.162) -- (7.739,4.055) -- (7.72,3.936) -- (7.739,3.817) -- (7.794,3.71) -- (7.879,3.625) -- (7.986,3.57) -- (8.105,3.551) -- cycle;
\node at (8.286,3.936) {\scalebox{1.236}{\small 15}};
\filldraw[fill=white, draw=black, line width=0.5pt] (3.252,2.516) -- (3.371,2.534) -- (3.478,2.589) -- (3.563,2.674) -- (3.618,2.781) -- (3.636,2.9) -- (3.618,3.019) -- (3.563,3.126) -- (3.478,3.211) -- (3.371,3.266) -- (3.252,3.285) -- (2.89,3.285) -- (2.771,3.266) -- (2.664,3.211) -- (2.579,3.126) -- (2.524,3.019) -- (2.505,2.9) -- (2.524,2.781) -- (2.579,2.674) -- (2.664,2.589) -- (2.771,2.534) -- (2.89,2.516) -- cycle;
\node at (3.071,2.9) {\scalebox{1.236}{\small 16}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.397,2.029) -- (6.516,2.048) -- (6.623,2.102) -- (6.708,2.187) -- (6.763,2.295) -- (6.782,2.414) -- (6.763,2.532) -- (6.708,2.64) -- (6.623,2.725) -- (6.516,2.779) -- (6.397,2.798) -- (6.035,2.798) -- (5.917,2.779) -- (5.809,2.725) -- (5.724,2.64) -- (5.67,2.532) -- (5.651,2.414) -- (5.67,2.295) -- (5.724,2.187) -- (5.809,2.102) -- (5.917,2.048) -- (6.035,2.029) -- cycle;
\node at (6.216,2.414) {\scalebox{1.236}{\small 17}};
\filldraw[fill=yellow!35, draw=black, line width=0.5pt] (7.884,1.823) -- (8.484,1.823) -- (8.484,2.423) -- (7.884,2.423) -- cycle;
\node at (8.184,2.123) {\scalebox{1.236}{\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, F, G, J, L & 6 \\ \hline
clairs & A, C, E, H, I, K & 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 la \textbf{rue Neuve ⑮} vers le nord jusqu'à Rond-point de la Gare \textbf{(I)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans le \textbf{quai aux Fleurs ⑥}, vers le nord, jusqu'à Carrefour du Moulin \textbf{(D)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue des Jardins ①}, vers le nord, jusqu'à Place Sainte-Croix \textbf{(A)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue Basse ②}, vers l'ouest, jusqu'à Rond-point des Vaches \textbf{(B)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans le \textbf{chemin des Vignes ④}, vers l'ouest, jusqu'à Coin du Lavoir \textbf{(C)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue du Four ⑤}, vers le sud, jusqu'à Carrefour du Lavoir \textbf{(F)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue du Stade ⑨}, vers l'est, jusqu'à Rond-point du Pont \textbf{(E)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans le \textbf{passage du Marché ⑧}, vers le sud, jusqu'à Carrefour des Tilleuls \textbf{(G)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue du Pont ⑬}, vers l'ouest, jusqu'à Rond-point du Stade \textbf{(H)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans le \textbf{boulevard du Parc ⑭}, vers le sud, jusqu'à Place aux Herbes \textbf{(J)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue Pasteur ⑯}, vers l'est, jusqu'à Carrefour de l'Hôpital \textbf{(K)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans l'\textbf{allée des Peupliers ⑰}, vers l'est, jusqu'à Placette des Ormes \textbf{(L)}.\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}
