{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# Postier chinois\n", "\n", "Postier chinois, chemin eul\u00e9rien, deux noms pour le m\u00eame probl\u00e8me, illustr\u00e9s sur les rues de Seattle."]}, {"cell_type": "code", "execution_count": 1, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:21.536789", "start_time": "2016-11-03T12:59:20.939251"}}, "outputs": [], "source": ["import matplotlib.pyplot as plt\n", "plt.style.use('ggplot')\n", "%matplotlib inline"]}, {"cell_type": "code", "execution_count": 2, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T13:17:53.466283", "start_time": "2016-11-03T13:17:53.456783"}}, "outputs": [{"data": {"text/html": ["
run previous cell, wait for 2 seconds
\n", ""], "text/plain": [""]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["from jyquickhelper import add_notebook_menu\n", "add_notebook_menu()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Un exemple\n", "\n", "Pour illustrer, on utilise le probl\u00e8me tir\u00e9 de [Shortest city tour](http://www.xavierdupre.fr/app/ensae_projects/helpsphinx/notebooks/city_tour_1.html#problem-definition)."]}, {"cell_type": "code", "execution_count": 3, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:21.580797", "start_time": "2016-11-03T12:59:21.561796"}}, "outputs": [], "source": ["vertices = [(-122.34991548199997, 47.46763155800005), (-122.34991155699998, 47.468532819000075),\n", " (-122.349907514, 47.469446668000046), (-122.34855159499995, 47.47036031400006),\n", " (-122.34722154299999, 47.46765986400004), (-122.34721743899996, 47.46856001400005),\n", " (-122.34721337199994, 47.466759281000066), (-122.34721334599999, 47.46946425100003),\n", " (-122.34717558599999, 47.47218021800006), (-122.34695634299999, 47.47037913100007),\n", " (-122.34651954599997, 47.46947199700003), (-122.34602084699998, 47.46857181000007),\n", " (-122.34577976599996, 47.47219822000005), (-122.34577761299994, 47.470393184000045),\n", " (-122.34552556999995, 47.46767758400006), (-122.34451462099997, 47.46858890800007),\n", " (-122.34451260399999, 47.46949338600007), (-122.34451061099998, 47.47040481700003)]"]}, {"cell_type": "code", "execution_count": 4, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:21.611798", "start_time": "2016-11-03T12:59:21.586795"}}, "outputs": [], "source": ["edges = [(10, 7), (5, 4), (4, 0), (10, 11), (9, 10), (7, 2), (17, 16), (5, 1), (11, 5), (17, 13),\n", " (16, 15), (14, 4), (15, 11), (1, 0), (4, 6), (8, 9), (13, 9), (7, 5), (11, 14), (16, 10), (2, 1),\n", " (12, 8), (9, 3), (12, 13)]"]}, {"cell_type": "code", "execution_count": 5, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:21.632798", "start_time": "2016-11-03T12:59:21.616299"}}, "outputs": [], "source": ["longueurs = [0.0006938432391730961, 0.0009001593555190061, 0.0026940877056109824, 0.0010290953928001187, 0.0010111922517731158,\n", " 0.0026942253755745885, 0.0009114331789785205, 0.002694255252624058, 0.001196650141037562, 0.0012670554031294153,\n", " 0.000904480248963228, 0.001696065569270049, 0.0015063230412799549, 0.0009012695466891699, 0.0009006200670015617,\n", " 0.0018143819538848289, 0.0011788137680839225, 0.0009042462633556375, 0.0010222227965844966, 0.0020070559761853316,\n", " 0.0009138579433356185, 0.001395936081803295, 0.0015953629752697774, 0.0018050372840282547]"]}, {"cell_type": "code", "execution_count": 6, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:21.658799", "start_time": "2016-11-03T12:59:21.637299"}}, "outputs": [], "source": ["class AShape:\n", " def __init__(self, points):\n", " self.points = points\n", "shapes = [AShape([vertices[a], vertices[b]]) for a, b in edges]\n", "edges_index = [i for i in range(len(edges))]"]}, {"cell_type": "code", "execution_count": 7, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:24.761182", "start_time": "2016-11-03T12:59:21.663301"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["from ensae_projects.datainc.data_geo_streets import plot_streets_network\n", "plot_streets_network(edges_index, edges, vertices, shapes, figsize=(8, 8));"]}, {"cell_type": "markdown", "metadata": {}, "source": ["On veut trouver le plus court chemin qui passe par toutes les rues ou segments de ce petit circuit."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## L'astuce\n", "\n", "Plut\u00f4t que de commencer \u00e0 se demander comment faire, r\u00e9fl\u00e9chissons d'abord \u00e0 la question : est-ce que je peux d\u00e9terminer la longueur minimum de ce trajet ? C'est la plus petite longueur possition en de\u00e7a de laquelle on sait qu'on s'est tromp\u00e9.\n", "\n", "Comme on est oblig\u00e9 de passer par toutes les rues, le plus court chemin possible passe par toutes les rues au moins une fois. Donc si on fait la somme de toutes les longueurs des rues, on obtient la longueur minimal. Cela ne vaut pas dire qu'on sait comment faire pour ne passer une et une fois par toutes les rues, mais on sait que la longueur ne peut pas \u00eatre inf\u00e9rieure."]}, {"cell_type": "code", "execution_count": 8, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:24.777521", "start_time": "2016-11-03T12:59:24.765023"}}, "outputs": [{"data": {"text/plain": ["0.03363767081195559"]}, "execution_count": 9, "metadata": {}, "output_type": "execute_result"}], "source": ["sum(longueurs)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["*Est-ce qu'un tel chemin existe ?*\n", "\n", "[Euler](https://fr.wikipedia.org/wiki/Leonhard_Euler) est un math\u00e9maticien qui a v\u00e9cu au dix-huiti\u00e8me si\u00e8cle. Il a r\u00e9fl\u00e9chi au probl\u00e8me des [sept ponts de Konigsberg](https://fr.wikipedia.org/wiki/Probl%C3%A8me_des_sept_ponts_de_K%C3%B6nigsberg). Comment faire une promenade dans la vie et passer une et une seule fois par tous les ponts ?"]}, {"cell_type": "code", "execution_count": 9, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:26.073103", "start_time": "2016-11-03T12:59:24.784522"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "execution_count": 10, "metadata": {}, "output_type": "execute_result"}], "source": ["from IPython.display import Image, SVG\n", "Image(\"https://upload.wikimedia.org/wikipedia/commons/5/5d/Konigsberg_bridges.png\")"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Il a essay\u00e9 plein de fois et n'a jamais r\u00e9ussi \u00e0 trouver une solution. Euler a cherch\u00e9 une explication. Puisque ce n'est pas possible, essayer de comprendre pourquoi ce n'est pas possible. Il s'est aper\u00e7u que bien souvent, il se retrouvait coinc\u00e9 dans l'\u00eele du milieu car il ne pouvait pas en sortir sans repasser par un pont qu'il avait d\u00e9j\u00e0 emprunt\u00e9. N\u00e9cessairement, lorsqu'on y arrive par un pont, il faut en repartir par un autre pont. Or il y a cinq ponts. On y arrive une fois (1 pont), on en repart (2 ponts), on y revient (3 ponts), on repart encore (4 ponts) et on revient enfin (5 ponts). On ne peut plus repartir. Donc, \u00e0 chaque fois qu'on arrive, il faut repartir. Cela fait deux ponts. Il faudrait que l'\u00eele soit reli\u00e9e par 4 ponts ou 6 ponts ou plus g\u00e9n\u00e9ralement un [nombre pair](https://fr.wikipedia.org/wiki/Parit%C3%A9_(arithm%C3%A9tique)) de ponts.\n", "\n", "Et il a trouv\u00e9 la parade : il faut d\u00e9marrer de l'\u00eele du milieu et le probl\u00e8me est r\u00e9solu. C'est ce qu'il a fait. Pourtant, quelques promenades plus tard, il s'est rendu \u00e0 l'\u00e9vidence, ce n'est pas possible. Mais pourquoi ?\n", "\n", "Et on consid\u00e9rait que la ville est compos\u00e9e uniquement d'\u00eele reli\u00e9es par des ponts, soit 4 \u00eeles reli\u00e9es par 7 ponts."]}, {"cell_type": "code", "execution_count": 10, "metadata": {"ExecuteTime": {"end_time": "2016-11-04T00:33:14.180316", "start_time": "2016-11-04T00:33:14.149070"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "execution_count": 11, "metadata": {"image/png": {"width": 200}}, "output_type": "execute_result"}], "source": ["from pyquickhelper.helpgen import NbImage\n", "NbImage(\"7_bridges.png\", width=200)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["De fa\u00e7on encore plus sch\u00e9matique :"]}, {"cell_type": "code", "execution_count": 11, "metadata": {"ExecuteTime": {"end_time": "2016-11-04T00:33:23.331187", "start_time": "2016-11-04T00:33:23.315558"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": [""]}, "execution_count": 12, "metadata": {"image/png": {"width": 200}}, "output_type": "execute_result"}], "source": ["NbImage(\"KBnigsberg_graph.png\", width=200)"]}, {"cell_type": "markdown", "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:38:12.414491", "start_time": "2016-11-03T12:38:12.406489"}}, "source": ["Et maintenant comptons le nombre de ponts reli\u00e9s \u00e0 chaque \u00eele ?"]}, {"cell_type": "raw", "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:38:28.189547", "start_time": "2016-11-03T12:38:28.182048"}}, "source": [" 3\n", "\n", "5 3\n", "\n", " 3"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Incroyable, il y a un nombre impairs de ponts pour chaque \u00eele. Cela voudrait dire qu'il faudrait d\u00e9marrer de chaque \u00eele et ce n'est vraiment pas possible. *Euler* a ainsi d\u00e9montr\u00e9 que **pour qu'il existe un chemin qui passe par tous les ponts (ou *arcs*), il faut que toutes les \u00eeles (ou *noeuds*) soit reli\u00e9es avec les autres par un nombre pair de ponts except\u00e9 deux \u00eeles au plus pour le d\u00e9but et la fin du parcours**.\n", "\n", "Revenons \u00e0 notre probl\u00e8me de d\u00e9part. On redessine le m\u00eame graphique en indiquant les \u00eeles (ou *carrefour*) avec un nombre de ponts (ou *rues*) impair."]}, {"cell_type": "code", "execution_count": 12, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:29.160001", "start_time": "2016-11-03T12:59:26.470065"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["plot_streets_network(edges_index, edges, vertices, shapes,\n", " figsize=(8, 8), color_vertices=\"odd\", size_c=15);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Il y en a 6. Il n'existe donc pas de chemins passant pour toutes les rues une et une seule fois."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## La r\u00e9solution du probl\u00e8me\n", "\n", "Qu'\u00e0 cela ne tienne ! Puisqu'il n'existe pas de solution passant par toutes les rues une et une seule fois, que faire pour qu'elle existe ? C'est simple, il suffit de rajouter des ponts et que ces ponts soient les plus courts possibles. Nous allons relier les carrefour (v13, v16) et (v1, v7). Et pour ajouter un pont, c'est comme si nous repassions par certaines rues."]}, {"cell_type": "code", "execution_count": 13, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T12:59:31.751373", "start_time": "2016-11-03T12:59:29.166501"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["plot_streets_network(edges_index, edges, vertices, shapes, figsize=(8, 8),\n", " color_vertices=\"odd\", size_c=15, size_e=6,\n", " color_edges={i:\"yellow\" for i in (20, 5, 6, 9)});"]}, {"cell_type": "markdown", "metadata": {}, "source": ["En jaune, ce sont les rues dans lesquelles il faudra passer deux fois. En d\u00e9doublant ces rues, nous enlevons deux carrefours (ou \u00eeles) connect\u00e9es avec un nombre impair de rues. On sait maintenant qu'il existe un chemin qui passe par toutes les rues au moins une fois. Le graphe suivant montre un exemple de parcours possible."]}, {"cell_type": "code", "execution_count": 14, "metadata": {"ExecuteTime": {"end_time": "2016-11-03T13:02:01.204597", "start_time": "2016-11-03T13:01:58.724998"}}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["from ensae_projects.challenge.city_tour import euler_path\n", "order = euler_path(edges_index, edges, solution=edges_index + [20, 5, 6, 9])\n", "plot_streets_network(edges_index, edges, vertices, shapes, figsize=(8, 8),\n", " color_vertices=\"odd\", size_c=15, size_e=6,\n", " color_edges={i:\"yellow\" for i in (20, 5, 6, 9)}, order=order, size_et=15);"]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Petite pr\u00e9cision math\u00e9matique\n", "\n", "J'ai affirm\u00e9 que si chaque carrefour (ou \u00eele ou noeud) \u00e9tait reli\u00e9 \u00e0 un nombre pair de rues (ou ponts ou arcs), il existait un chemin passant une et une seule fois par toutes les rues. Ceci n'est pas tout-\u00e0-fait vrai. Nous avons seulement montr\u00e9 que si cette condition \u00e9tait fausse, alors ce chemin n'existait pas. Ou autrement dit, si un tel chemin existe, alors cette condition est n\u00e9cessairement vrai. C'est une **condition n\u00e9cessaire**. Nous n'avons pas montr\u00e9 que cette condition est **suffisante** : si cette condition est vraie, alors le chemin existe.\n", "\n", "Pour montrer que la condition est suffisante, il suffit de montrer qu'il existe un moyen infaillible de construire un chemin qui passe par toutes les rues une et une seule fois. Ce n'est pas bien compliqu\u00e9 :\n", "\n", "* On part d'un noeud quelconque et on choisit une rue au hasard.\n", "* A chaque carrefour, on choisir une rue au hasard parmi celles qu'on n'a pas visit\u00e9. C'est toujours possible car on sait qu'elles sont en nombre pair : quand on arrive, il y en a toujours une autre.\n", "* On s'arr\u00eate quand on est revenu au point de d\u00e9part.\n", "\n", "Il arrive parfois qu'on revient au point de d\u00e9part sans avoir parcouru toutes les rues. Ce n'est pas grave. Il suffit d'enlever du graphe toutes les rues d\u00e9j\u00e0 parcourues. On obtient un graphe plus petit. Il est facile de montrer que ce graphe plus petit v\u00e9rifie toujours la condition. Et on recommence le parcours al\u00e9atoire pr\u00e9c\u00e9dent. On s'arr\u00eate quand on a parcouru toutes les rues."]}, {"cell_type": "markdown", "metadata": {}, "source": ["## Le plus court chemin passant par toutes les rues\n", "\n", "Maintenant qu'on a montr\u00e9 comment obtenir un chemin, comment obtenir le plus court ? L'id\u00e9e est de relier les carrefours impair entre eux avec les ponts les plus courts.\n", "\n", "* On calcule toutes les distances entre carrefour impairs avec un algorithme de [Bellman](https://en.wikipedia.org/wiki/Bellman%E2%80%93Ford_algorithm).\n", "* On apparie le plus efficacement possible les carrefours impairs entre eux le plus efficacement possible avec l'algorithme de [Blossom](https://en.wikipedia.org/wiki/Blossom_algorithm).\n", "\n", "Le tour est jou\u00e9."]}, {"cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": []}], "metadata": {"kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.0"}}, "nbformat": 4, "nbformat_minor": 2}