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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 J, 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 Pasteur & \cellcolor{black!32}\bfseries Les carrefours & Ⓘ Carrefour Saint-Roch \\ \hline
① chemin des Vignes & ⑩ rue Neuve & Ⓐ Place Sainte-Croix & Ⓙ Rond-point de la Poste \\ \hline
② chemin Creux & ⑪ rue de la Poste & Ⓑ Rond-point du Pont & Ⓚ Place aux Herbes \\ \hline
③ rue du Stade & ⑫ chemin de Ronde & Ⓒ Rond-point du Stade & Ⓛ Place de la Fontaine \\ \hline
④ chemin du Lavoir & ⑬ rue du Four & Ⓓ Placette des Ormes & \cellcolor{black!32}\bfseries Les bâtiments \\ \hline
⑤ allée des Peupliers & ⑭ boulevard du Parc & Ⓔ Rond-point des Vaches & \textbf{a} l'école \\ \hline
⑥ rue des Jardins & ⑮ quai aux Fleurs & Ⓕ Carrefour de la Mairie & \textbf{b} la pharmacie \\ \hline
⑦ rue Verte & ⑯ rue Haute & Ⓖ Carrefour des Tilleuls & \textbf{c} la boulangerie \\ \hline
⑧ rue des Lilas & ⑰ rue Basse & Ⓗ Carrefour du Moulin & \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] (4.402,4.578) -- (4.478,4.373) -- (4.549,4.167) -- (4.616,3.958) -- (4.678,3.748) -- (4.734,3.536) -- (4.786,3.324) -- (4.833,3.11) -- (4.875,2.895) -- (4.911,2.679) -- (4.943,2.462) -- (4.969,2.245) -- (4.991,2.027) -- (5.007,1.809) -- (5.018,1.59);
\draw[line width=0.5pt] (7.74,2.278) -- (7.955,2.178) -- (8.172,2.084) -- (8.392,1.994) -- (8.614,1.91) -- (8.838,1.83) -- (9.064,1.756) -- (9.291,1.688) -- (9.52,1.624) -- (9.75,1.567) -- (9.982,1.514) -- (10.215,1.467) -- (10.449,1.426) -- (10.683,1.39) -- (10.918,1.359);
\draw[line width=0.5pt] (5.018,1.59) -- (5.203,1.669) -- (5.39,1.743) -- (5.579,1.812) -- (5.77,1.878) -- (5.962,1.938) -- (6.156,1.995) -- (6.35,2.046) -- (6.546,2.094) -- (6.743,2.136) -- (6.941,2.174) -- (7.14,2.207) -- (7.339,2.236) -- (7.539,2.259) -- (7.74,2.278);
\draw[line width=0.5pt] (2.002,1.341) -- (2.218,1.326) -- (2.435,1.316) -- (2.652,1.311) -- (2.869,1.311) -- (3.086,1.316) -- (3.303,1.326) -- (3.52,1.341) -- (3.736,1.362) -- (3.952,1.387) -- (4.167,1.418) -- (4.381,1.453) -- (4.595,1.494) -- (4.807,1.539) -- (5.018,1.59);
\filldraw[fill=white, draw=black, line width=0.5pt] (11.47,8.561) -- (11.442,8.703) -- (11.361,8.824) -- (11.24,8.905) -- (11.097,8.934) -- (10.954,8.905) -- (10.833,8.824) -- (10.752,8.703) -- (10.724,8.561) -- (10.752,8.418) -- (10.833,8.297) -- (10.954,8.216) -- (11.097,8.187) -- (11.24,8.216) -- (11.361,8.297) -- (11.442,8.418) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (5.656,8.529) -- (5.628,8.672) -- (5.547,8.793) -- (5.426,8.874) -- (5.283,8.902) -- (5.14,8.874) -- (5.019,8.793) -- (4.938,8.672) -- (4.91,8.529) -- (4.938,8.386) -- (5.019,8.265) -- (5.14,8.184) -- (5.283,8.156) -- (5.426,8.184) -- (5.547,8.265) -- (5.628,8.386) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (8.735,8.404) -- (8.707,8.547) -- (8.626,8.668) -- (8.505,8.749) -- (8.362,8.778) -- (8.219,8.749) -- (8.098,8.668) -- (8.017,8.547) -- (7.989,8.404) -- (8.017,8.262) -- (8.098,8.141) -- (8.219,8.06) -- (8.362,8.031) -- (8.505,8.06) -- (8.626,8.141) -- (8.707,8.262) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (1.68,7.87) -- (1.651,8.013) -- (1.571,8.134) -- (1.449,8.215) -- (1.307,8.244) -- (1.164,8.215) -- (1.043,8.134) -- (0.962,8.013) -- (0.933,7.87) -- (0.962,7.728) -- (1.043,7.607) -- (1.164,7.526) -- (1.307,7.497) -- (1.449,7.526) -- (1.571,7.607) -- (1.651,7.728) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (2.113,5.372) -- (2.085,5.515) -- (2.004,5.636) -- (1.883,5.717) -- (1.74,5.745) -- (1.597,5.717) -- (1.476,5.636) -- (1.395,5.515) -- (1.367,5.372) -- (1.395,5.229) -- (1.476,5.108) -- (1.597,5.027) -- (1.74,4.999) -- (1.883,5.027) -- (2.004,5.108) -- (2.085,5.229) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (8.995,5.313) -- (8.966,5.456) -- (8.886,5.577) -- (8.764,5.658) -- (8.622,5.686) -- (8.479,5.658) -- (8.358,5.577) -- (8.277,5.456) -- (8.248,5.313) -- (8.277,5.17) -- (8.358,5.049) -- (8.479,4.968) -- (8.622,4.94) -- (8.764,4.968) -- (8.886,5.049) -- (8.966,5.17) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (11.68,4.655) -- (11.651,4.798) -- (11.571,4.919) -- (11.449,5.0) -- (11.307,5.028) -- (11.164,5.0) -- (11.043,4.919) -- (10.962,4.798) -- (10.933,4.655) -- (10.962,4.512) -- (11.043,4.391) -- (11.164,4.31) -- (11.307,4.282) -- (11.449,4.31) -- (11.571,4.391) -- (11.651,4.512) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (4.775,4.578) -- (4.746,4.721) -- (4.665,4.842) -- (4.544,4.923) -- (4.402,4.952) -- (4.259,4.923) -- (4.138,4.842) -- (4.057,4.721) -- (4.028,4.578) -- (4.057,4.436) -- (4.138,4.314) -- (4.259,4.234) -- (4.402,4.205) -- (4.544,4.234) -- (4.665,4.314) -- (4.746,4.436) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (8.113,2.278) -- (8.084,2.421) -- (8.004,2.542) -- (7.883,2.623) -- (7.74,2.652) -- (7.597,2.623) -- (7.476,2.542) -- (7.395,2.421) -- (7.366,2.278) -- (7.395,2.135) -- (7.476,2.014) -- (7.597,1.933) -- (7.74,1.905) -- (7.883,1.933) -- (8.004,2.014) -- (8.084,2.135) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (5.391,1.59) -- (5.363,1.733) -- (5.282,1.854) -- (5.161,1.935) -- (5.018,1.963) -- (4.875,1.935) -- (4.754,1.854) -- (4.673,1.733) -- (4.645,1.59) -- (4.673,1.447) -- (4.754,1.326) -- (4.875,1.245) -- (5.018,1.217) -- (5.161,1.245) -- (5.282,1.326) -- (5.363,1.447) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (11.292,1.359) -- (11.263,1.502) -- (11.182,1.623) -- (11.061,1.704) -- (10.918,1.733) -- (10.776,1.704) -- (10.655,1.623) -- (10.574,1.502) -- (10.545,1.359) -- (10.574,1.217) -- (10.655,1.095) -- (10.776,1.015) -- (10.918,0.986) -- (11.061,1.015) -- (11.182,1.095) -- (11.263,1.217) -- cycle;
\filldraw[fill=black!38, draw=black, line width=0.5pt] (2.375,1.341) -- (2.347,1.484) -- (2.266,1.605) -- (2.145,1.686) -- (2.002,1.715) -- (1.859,1.686) -- (1.738,1.605) -- (1.657,1.484) -- (1.628,1.341) -- (1.657,1.198) -- (1.738,1.077) -- (1.859,0.997) -- (2.002,0.968) -- (2.145,0.997) -- (2.266,1.077) -- (2.347,1.198) -- cycle;
\filldraw[fill=white, draw=black, line width=0.5pt] (11.425,6.235) -- (11.544,6.254) -- (11.651,6.309) -- (11.736,6.394) -- (11.79,6.501) -- (11.809,6.62) -- (11.79,6.739) -- (11.736,6.846) -- (11.651,6.931) -- (11.544,6.985) -- (11.425,7.004) -- (11.425,7.004) -- (11.306,6.985) -- (11.199,6.931) -- (11.114,6.846) -- (11.059,6.739) -- (11.04,6.62) -- (11.059,6.501) -- (11.114,6.394) -- (11.199,6.309) -- (11.306,6.254) -- (11.425,6.235) -- cycle;
\node at (11.425,6.62) {\scalebox{1.608}{\small 1}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.843,8.593) -- (6.962,8.612) -- (7.069,8.667) -- (7.154,8.752) -- (7.209,8.859) -- (7.228,8.978) -- (7.209,9.097) -- (7.154,9.204) -- (7.069,9.289) -- (6.962,9.344) -- (6.843,9.363) -- (6.843,9.363) -- (6.724,9.344) -- (6.617,9.289) -- (6.532,9.204) -- (6.477,9.097) -- (6.459,8.978) -- (6.477,8.859) -- (6.532,8.752) -- (6.617,8.667) -- (6.724,8.612) -- (6.843,8.593) -- cycle;
\node at (6.843,8.978) {\scalebox{1.608}{\small 2}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.055,6.122) -- (5.174,6.141) -- (5.281,6.195) -- (5.366,6.28) -- (5.42,6.388) -- (5.439,6.506) -- (5.42,6.625) -- (5.366,6.732) -- (5.281,6.817) -- (5.174,6.872) -- (5.055,6.891) -- (5.055,6.891) -- (4.936,6.872) -- (4.829,6.817) -- (4.744,6.732) -- (4.689,6.625) -- (4.67,6.506) -- (4.689,6.388) -- (4.744,6.28) -- (4.829,6.195) -- (4.936,6.141) -- (5.055,6.122) -- cycle;
\node at (5.055,6.506) {\scalebox{1.608}{\small 3}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.701,8.595) -- (9.82,8.614) -- (9.927,8.668) -- (10.012,8.753) -- (10.067,8.86) -- (10.086,8.979) -- (10.067,9.098) -- (10.012,9.205) -- (9.927,9.29) -- (9.82,9.345) -- (9.701,9.364) -- (9.701,9.364) -- (9.582,9.345) -- (9.475,9.29) -- (9.39,9.205) -- (9.335,9.098) -- (9.317,8.979) -- (9.335,8.86) -- (9.39,8.753) -- (9.475,8.668) -- (9.582,8.614) -- (9.701,8.595) -- cycle;
\node at (9.701,8.979) {\scalebox{1.608}{\small 4}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.747,6.496) -- (8.866,6.514) -- (8.973,6.569) -- (9.058,6.654) -- (9.113,6.761) -- (9.132,6.88) -- (9.113,6.999) -- (9.058,7.106) -- (8.973,7.191) -- (8.866,7.246) -- (8.747,7.265) -- (8.747,7.265) -- (8.629,7.246) -- (8.521,7.191) -- (8.436,7.106) -- (8.382,6.999) -- (8.363,6.88) -- (8.382,6.761) -- (8.436,6.654) -- (8.521,6.569) -- (8.629,6.514) -- (8.747,6.496) -- cycle;
\node at (8.747,6.88) {\scalebox{1.608}{\small 5}};
\filldraw[fill=white, draw=black, line width=0.5pt] (3.205,8.359) -- (3.324,8.377) -- (3.431,8.432) -- (3.516,8.517) -- (3.571,8.624) -- (3.589,8.743) -- (3.571,8.862) -- (3.516,8.969) -- (3.431,9.054) -- (3.324,9.109) -- (3.205,9.128) -- (3.205,9.128) -- (3.086,9.109) -- (2.979,9.054) -- (2.894,8.969) -- (2.839,8.862) -- (2.82,8.743) -- (2.839,8.624) -- (2.894,8.517) -- (2.979,8.432) -- (3.086,8.377) -- (3.205,8.359) -- cycle;
\node at (3.205,8.743) {\scalebox{1.608}{\small 6}};
\filldraw[fill=white, draw=black, line width=0.5pt] (1.799,6.285) -- (1.918,6.303) -- (2.025,6.358) -- (2.11,6.443) -- (2.165,6.55) -- (2.184,6.669) -- (2.165,6.788) -- (2.11,6.895) -- (2.025,6.98) -- (1.918,7.035) -- (1.799,7.054) -- (1.799,7.054) -- (1.68,7.035) -- (1.573,6.98) -- (1.488,6.895) -- (1.433,6.788) -- (1.415,6.669) -- (1.433,6.55) -- (1.488,6.443) -- (1.573,6.358) -- (1.68,6.303) -- (1.799,6.285) -- cycle;
\node at (1.799,6.669) {\scalebox{1.608}{\small 7}};
\filldraw[fill=white, draw=black, line width=0.5pt] (3.213,5.069) -- (3.332,5.088) -- (3.439,5.143) -- (3.524,5.228) -- (3.579,5.335) -- (3.598,5.454) -- (3.579,5.572) -- (3.524,5.68) -- (3.439,5.765) -- (3.332,5.819) -- (3.213,5.838) -- (3.213,5.838) -- (3.095,5.819) -- (2.987,5.765) -- (2.902,5.68) -- (2.848,5.572) -- (2.829,5.454) -- (2.848,5.335) -- (2.902,5.228) -- (2.987,5.143) -- (3.095,5.088) -- (3.213,5.069) -- cycle;
\node at (3.213,5.454) {\scalebox{1.608}{\small 8}};
\filldraw[fill=white, draw=black, line width=0.5pt] (2.088,2.986) -- (2.207,3.005) -- (2.314,3.06) -- (2.399,3.145) -- (2.454,3.252) -- (2.473,3.371) -- (2.454,3.49) -- (2.399,3.597) -- (2.314,3.682) -- (2.207,3.737) -- (2.088,3.755) -- (2.088,3.755) -- (1.969,3.737) -- (1.862,3.682) -- (1.777,3.597) -- (1.723,3.49) -- (1.704,3.371) -- (1.723,3.252) -- (1.777,3.145) -- (1.862,3.06) -- (1.969,3.005) -- (2.088,2.986) -- cycle;
\node at (2.088,3.371) {\scalebox{1.608}{\small 9}};
\filldraw[fill=white, draw=black, line width=0.5pt] (10.664,4.976) -- (10.783,4.994) -- (10.89,5.049) -- (10.975,5.134) -- (11.03,5.241) -- (11.049,5.36) -- (11.03,5.479) -- (10.975,5.586) -- (10.89,5.671) -- (10.783,5.726) -- (10.664,5.745) -- (10.302,5.745) -- (10.184,5.726) -- (10.076,5.671) -- (9.991,5.586) -- (9.937,5.479) -- (9.918,5.36) -- (9.937,5.241) -- (9.991,5.134) -- (10.076,5.049) -- (10.184,4.994) -- (10.302,4.976) -- cycle;
\node at (10.483,5.36) {\scalebox{1.608}{\small 10}};
\filldraw[fill=white, draw=black, line width=0.5pt] (8.606,3.34) -- (8.725,3.359) -- (8.832,3.414) -- (8.917,3.499) -- (8.971,3.606) -- (8.99,3.725) -- (8.971,3.843) -- (8.917,3.951) -- (8.832,4.036) -- (8.725,4.09) -- (8.606,4.109) -- (8.244,4.109) -- (8.125,4.09) -- (8.018,4.036) -- (7.933,3.951) -- (7.878,3.843) -- (7.859,3.725) -- (7.878,3.606) -- (7.933,3.499) -- (8.018,3.414) -- (8.125,3.359) -- (8.244,3.34) -- cycle;
\node at (8.425,3.725) {\scalebox{1.608}{\small 11}};
\filldraw[fill=white, draw=black, line width=0.5pt] (11.811,2.562) -- (11.93,2.58) -- (12.037,2.635) -- (12.122,2.72) -- (12.177,2.827) -- (12.196,2.946) -- (12.177,3.065) -- (12.122,3.172) -- (12.037,3.257) -- (11.93,3.312) -- (11.811,3.331) -- (11.449,3.331) -- (11.331,3.312) -- (11.223,3.257) -- (11.138,3.172) -- (11.084,3.065) -- (11.065,2.946) -- (11.084,2.827) -- (11.138,2.72) -- (11.223,2.635) -- (11.331,2.58) -- (11.449,2.562) -- cycle;
\node at (11.63,2.946) {\scalebox{1.608}{\small 12}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.657,4.766) -- (6.776,4.785) -- (6.883,4.839) -- (6.968,4.924) -- (7.023,5.032) -- (7.041,5.15) -- (7.023,5.269) -- (6.968,5.376) -- (6.883,5.461) -- (6.776,5.516) -- (6.657,5.535) -- (6.295,5.535) -- (6.176,5.516) -- (6.069,5.461) -- (5.984,5.376) -- (5.929,5.269) -- (5.911,5.15) -- (5.929,5.032) -- (5.984,4.924) -- (6.069,4.839) -- (6.176,4.785) -- (6.295,4.766) -- cycle;
\node at (6.476,5.15) {\scalebox{1.608}{\small 13}};
\filldraw[fill=white, draw=black, line width=0.5pt] (5.391,2.803) -- (5.509,2.822) -- (5.617,2.876) -- (5.702,2.961) -- (5.756,3.068) -- (5.775,3.187) -- (5.756,3.306) -- (5.702,3.413) -- (5.617,3.498) -- (5.509,3.553) -- (5.391,3.572) -- (5.029,3.572) -- (4.91,3.553) -- (4.803,3.498) -- (4.718,3.413) -- (4.663,3.306) -- (4.644,3.187) -- (4.663,3.068) -- (4.718,2.961) -- (4.803,2.876) -- (4.91,2.822) -- (5.029,2.803) -- cycle;
\node at (5.21,3.187) {\scalebox{1.608}{\small 14}};
\filldraw[fill=white, draw=black, line width=0.5pt] (9.579,1.673) -- (9.698,1.691) -- (9.805,1.746) -- (9.89,1.831) -- (9.945,1.938) -- (9.963,2.057) -- (9.945,2.176) -- (9.89,2.283) -- (9.805,2.368) -- (9.698,2.423) -- (9.579,2.442) -- (9.217,2.442) -- (9.098,2.423) -- (8.991,2.368) -- (8.906,2.283) -- (8.851,2.176) -- (8.832,2.057) -- (8.851,1.938) -- (8.906,1.831) -- (8.991,1.746) -- (9.098,1.691) -- (9.217,1.673) -- cycle;
\node at (9.398,2.057) {\scalebox{1.608}{\small 15}};
\filldraw[fill=white, draw=black, line width=0.5pt] (6.437,2.035) -- (6.556,2.054) -- (6.663,2.108) -- (6.748,2.193) -- (6.803,2.3) -- (6.822,2.419) -- (6.803,2.538) -- (6.748,2.645) -- (6.663,2.73) -- (6.556,2.785) -- (6.437,2.804) -- (6.075,2.804) -- (5.956,2.785) -- (5.849,2.73) -- (5.764,2.645) -- (5.709,2.538) -- (5.691,2.419) -- (5.709,2.3) -- (5.764,2.193) -- (5.849,2.108) -- (5.956,2.054) -- (6.075,2.035) -- cycle;
\node at (6.256,2.419) {\scalebox{1.608}{\small 16}};
\filldraw[fill=white, draw=black, line width=0.5pt] (3.669,1.34) -- (3.788,1.359) -- (3.895,1.413) -- (3.98,1.498) -- (4.035,1.606) -- (4.054,1.724) -- (4.035,1.843) -- (3.98,1.95) -- (3.895,2.036) -- (3.788,2.09) -- (3.669,2.109) -- (3.308,2.109) -- (3.189,2.09) -- (3.081,2.036) -- (2.996,1.95) -- (2.942,1.843) -- (2.923,1.724) -- (2.942,1.606) -- (2.996,1.498) -- (3.081,1.413) -- (3.189,1.359) -- (3.308,1.34) -- cycle;
\node at (3.488,1.724) {\scalebox{1.608}{\small 17}};
\filldraw[fill=yellow!35, draw=black, line width=0.5pt] (4.718,1.29) -- (5.318,1.29) -- (5.318,1.89) -- (4.718,1.89) -- cycle;
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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 & C, D, G, H, I, L & 6 \\ \hline
clairs & A, B, E, F, J, 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 le \textbf{boulevard du Parc ⑭} vers le nord jusqu'à Carrefour du Moulin \textbf{(H)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue du Four ⑬}, vers l'est, jusqu'à Carrefour de la Mairie \textbf{(F)}.\par\addvspace{0.35em}
\noindent Il tourne à droite dans la \textbf{rue de la Poste ⑪}, vers le sud, jusqu'à Carrefour Saint-Roch \textbf{(I)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans le \textbf{quai aux Fleurs ⑮}, vers l'est, jusqu'à Place aux Herbes \textbf{(K)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans le \textbf{chemin de Ronde ⑫}, vers le nord, jusqu'à Carrefour des Tilleuls \textbf{(G)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans le \textbf{chemin des Vignes ①}, vers le nord, jusqu'à Place Sainte-Croix \textbf{(A)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans le \textbf{chemin du Lavoir ④}, vers l'ouest, jusqu'à Rond-point du Stade \textbf{(C)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans le \textbf{chemin Creux ②}, vers l'ouest, jusqu'à Rond-point du Pont \textbf{(B)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue des Jardins ⑥}, vers l'ouest, jusqu'à Placette des Ormes \textbf{(D)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue Verte ⑦}, vers le sud, jusqu'à Rond-point des Vaches \textbf{(E)}.\par\addvspace{0.35em}
\noindent Il continue tout droit dans la \textbf{rue Pasteur ⑨}, vers le sud, jusqu'à Place de la Fontaine \textbf{(L)}.\par\addvspace{0.35em}
\noindent Il tourne à gauche dans la \textbf{rue Basse ⑰}, vers l'est, jusqu'à Rond-point de la Poste \textbf{(J)}.\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}
