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February 16, 2023 17:33
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La constante de Kaprekar.ipynb
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/jeanpat/6f8a67209defb3ac7c0786db659efa05/la-constante-de-kaprekar.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "__5ZKLuQzIpo" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"# Usage d'un notebook (cahier électronique):\n", | |
"Pour executer le code d'une cellule, on peut:\n", | |
" * cliquer sur la cellule + cliquer sur le triangle\n", | |
" * cliquer sur une cellule + calvier: **Shift+valider**\n", | |
" \n", | |
"Il y a beaucoup de ressources sur les notebooks, dont celles ci:\n", | |
" * https://python.sdv.univ-paris-diderot.fr/18_jupyter/\n", | |
"\n", | |
"selon l'environnement, on peut installer des extensions, par exemple:\n", | |
"\n", | |
" * des widgets (fenêtre interactive)\n", | |
" * une table des matières\n", | |
" \n", | |
"Cliquer sur le bouton install dans l'onglet extension sous jupyterlab (Pas dans Capytale où beaucoup de bibliothèques étendant les fonctionnalités, sont disponibles).\n", | |
"**Executez la cellule ci-dessous** pour vérifier que vous parvenez à executer du code dans une cellule:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "1WYin1XnzIpy", | |
"outputId": "41b8748e-4940-40d7-96d9-910faa19a3ed" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"print(\"Coucou Jupyter !!\")" | |
], | |
"execution_count": 1, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Coucou Jupyter !!\n" | |
] | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "wtlew_cCzIpr" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Configuration:\n", | |
"\n", | |
"Importons quelques modules au cas où; mais avant, il faut les installer (selon la plateforme: capytale, jupyterlab, google-drive...). Par défaut les lignes sont désactivées par le symbole %" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "CEtgqjktzIpu" | |
}, | |
"cell_type": "raw", | |
"source": [ | |
"%pip install numpy\n", | |
"%pip install scipy\n", | |
"%pip install matplotlib\n", | |
"%pip install networkx\n", | |
"%pip install pydot\n", | |
"%pip install graphviz" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "Jg1XGhJQzIp0" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Commençons par importer des modules pour la suite." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "EjXjoI_JzIp2" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import networkx as nx\n", | |
"from matplotlib import pyplot as plt" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "1m2ucVHlzIp2" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"from IPython.display import HTML" | |
], | |
"execution_count": 3, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "ewW8xWh0zIp4" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Un œuf de Pâques caché dans Python: le zen de Python\n", | |
" Importez le module ci-dessous en executant la cellule. Prenez le temps de lire le résultat (en anglais ou voir la traduction en français). Il ya là quelques conseils que l'on essaiera d'appliquer." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "8xuviHfQzIp7" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"import this" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "EnEhLo_nzIp9" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Vous trouverez la traduction en français en [cliquant ce même lien](https://www.deepl.com/translator#en/fr/The%20Zen%20of%20Python%2C%20by%20Tim%20Peters%0A%0ABeautiful%20is%20better%20than%20ugly.%0AExplicit%20is%20better%20than%20implicit.%0ASimple%20is%20better%20than%20complex.%0AComplex%20is%20better%20than%20complicated.%0AFlat%20is%20better%20than%20nested.%0ASparse%20is%20better%20than%20dense.%0AReadability%20counts.%0ASpecial%20cases%20aren't%20special%20enough%20to%20break%20the%20rules.%0AAlthough%20practicality%20beats%20purity.%0AErrors%20should%20never%20pass%20silently.%0AUnless%20explicitly%20silenced.%0AIn%20the%20face%20of%20ambiguity%2C%20refuse%20the%20temptation%20to%20guess.%0AThere%20should%20be%20one--%20and%20preferably%20only%20one%20--obvious%20way%20to%20do%20it.%0AAlthough%20that%20way%20may%20not%20be%20obvious%20at%20first%20unless%20you're%20Dutch.%0ANow%20is%20better%20than%20never.%0AAlthough%20never%20is%20often%20better%20than%20*right*%20now.%0AIf%20the%20implementation%20is%20hard%20to%20explain%2C%20it's%20a%20bad%20idea.%0AIf%20the%20implementation%20is%20easy%20to%20explain%2C%20it%20may%20be%20a%20good%20idea.%0ANamespaces%20are%20one%20honking%20great%20idea%20--%20let's%20do%20more%20of%20those!)" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "fRacuKwwzIp9" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Youtube\n", | |
"Il est possible d'intégrer une vidéo dans une cellule. La vidéo en question traite du sujet que l'on va aborder.\n" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 370 | |
}, | |
"id": "cVuPchOxzIp-", | |
"outputId": "298fbbe8-a122-4896-83d5-d88fcf0f18bc" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"HTML('<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/d8TRcZklX_Q\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>')" | |
], | |
"execution_count": 4, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stderr", | |
"text": [ | |
"/usr/local/lib/python3.8/dist-packages/IPython/core/display.py:701: UserWarning: Consider using IPython.display.IFrame instead\n", | |
" warnings.warn(\"Consider using IPython.display.IFrame instead\")\n" | |
] | |
}, | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
], | |
"text/html": [ | |
"<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/d8TRcZklX_Q\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 4 | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "DgarXUIrzIp_" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## $\\LaTeX$ en cinq minutes:\n", | |
"$\\LaTeX$ est un langage de formatage du texte, il permet d'avoir une typographie impécable et d'écrire de belles formules mathématiques. Pour en savoir plus, une courte vidéo sur le sujet:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "nb5dp6wOzIqA", | |
"outputId": "a0acbe67-a857-4771-df82-4948922c6784" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"HTML('<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/PRZ3cqjE1-4\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 4, | |
"data": { | |
"text/plain": "<IPython.display.HTML object at 0xd719a0>", | |
"text/html": "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/PRZ3cqjE1-4\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "RoId7bXtzIqB" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"# 6174: La constante de Kaprekar, pour faire court:\n", | |
"\n", | |
"Initialement l'intérêt pour cette constante provient d'une activité déconnectée (sans ordinateur) sur les soustractions. Elle permet de faire la distinstion entre chiffre et nombre et de pratiquer la soustraction à quatre chiffres. Cette constante émerge de l'application de l'algorithme de Kaprekar (vois ci-dessous sur un exemple).\n", | |
"\n", | |
"## Quel intérêt de travailler sur ce sujet?\n", | |
"\n", | |
"C'est l'occasion d'aborder la notion de type des objets en Python, notamment les chaînes de caractères, les listes, les ensembles et les méthodes associées à ces types d'objets:\n", | |
"\n", | |
"```python\n", | |
"str\n", | |
"list\n", | |
"set\n", | |
"```\n", | |
"\n", | |
" * d'écrire des fonctions python.\n", | |
" * de voir les méthodes d'objet (En python tout est objet)\n", | |
" * de construire des nombres avec contraintes\n", | |
" * de faire de la combinatoire en utilisant le module itertools\n", | |
" * de jouer avec les cellules de texte en [**markdown**](https://docs.framasoft.org/fr/grav/markdown.html) et *LaTeX* pour améliorer la présentation.\n", | |
" * de faire des essais et des erreurs.\n", | |
" * ...\n", | |
" \n", | |
"## Distinction entre chiffres et nombres. Les types en Python:\n", | |
"Python travaille sur des objets et ces objets ont un type. Pour connaître le type d'un objet, on tapera par exemple:\n", | |
"```Python\n", | |
"type(42)\n", | |
"```\n", | |
"Commençons par les nombres, en Python les nombres peuvent être de différents type. Mathématiquement *42* est un nombre entier naturel, en Python quel est son type?" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "dzfmorQPzIqC", | |
"outputId": "425329a1-1f41-43b4-a175-94df36fc6cf7" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"print(type(42))\n", | |
"print(type(-42))\n", | |
"print(type(-42.89))\n", | |
"print(type(10/3))\n", | |
"print(type(\"42\"))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "<class 'int'>\n<class 'int'>\n<class 'float'>\n<class 'float'>\n<class 'str'>\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "FQw7HorAzIqD" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Résultat d'une opération selon le type des objets:\n", | |
"Selon le type des objets, les opérations que l'on peut leur appliquer vont donner des résultats très différents. Essayons:\n", | |
"```Python\n", | |
"print(1+3)\n", | |
"print(\"1\"+\"3\")\n", | |
"print(2 * 3)\n", | |
"print(3 * 2)\n", | |
"print(\"2\" * \"3\")\n", | |
"print(\"3\" * \"2\")\n", | |
"```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "CvjTPyulzIqD" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"print(1+3)\n", | |
"print(\"1\"+\"3\")\n", | |
"print(2 * 3)\n", | |
"print(3 * 2)\n", | |
"print(\"2\" * 3)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "u6sPkVSLzIqD" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Essayer de faire la chose suivante:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "CvFRq9RFzIqD" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"print(\"3\" * \"2\")" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "Q-hQ_aU_zIqF" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Chaîne de caractères:\n", | |
"On peut multiplier une chaine de caractère comme \"2\" par 3. mais, on ne peut pas multiplier deux chaines de caratères entre elles. Par contre, on ne peut pas faire l'opération inverse, la division d'un objet chaine de caractères par un nombre entier échouera par une exception (une \"erreur\"):\n", | |
"\n", | |
"```Python\n", | |
"\"222\" /3\n", | |
"```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "U_PUOVvBzIqF" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"\"222\" /3" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "PopH7OE9zIqF" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Comment décomposer une chaine de caractères? \n", | |
"Il y a différentes manières de s'y prendre:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "Va_iXBMSzIqF", | |
"outputId": "af67a9f4-e86a-4683-cc1c-37e748a37851" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"set(\"222\")" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 18, | |
"data": { | |
"text/plain": "{'2'}" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "kWZCGUB8zIqG" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Les éléments d'un ensemble sont distincts, mais:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "JJSUS_xmzIqH", | |
"outputId": "20c8dc6b-f2fd-46e2-97cb-8f85620fd5f9" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"set(\"123\")" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 37, | |
"data": { | |
"text/plain": "{'3', '2', '1'}" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "Wd19P0f_zIqH" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### On peut lire les caractères d'une chaîne:\n", | |
"Si l'on veut q'un caractères puisse être présent plusieur fois, utilisons une liste de caractères" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "DFPpaFrwzIqH", | |
"outputId": "9b586620-bd87-4c19-a314-c78946d7ddbf" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"for car in \"222\":\n", | |
" print(car,\":\",(type(car)))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "2 : <class 'str'>\n2 : <class 'str'>\n2 : <class 'str'>\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "2YpLhDQezIqI" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### Avec une liste définie en compréhension:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "B9TgLFwszIqI", | |
"outputId": "8dc299d2-982b-4ff5-d235-dab292235083" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"[c for c in \"222\"]" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 25, | |
"data": { | |
"text/plain": "['2', '2', '2']" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "q7aLH2fSzIqI" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### La méthode *split()* d'une chaîne de caractère:\n", | |
"Une chaîne de caractère est un objet qui \"possède\" la méthode ``` split() ``` qui permet par défaut de découper une chaîne de caratères lorsque des espaces sont présents." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "qzjaWVzXzIqJ", | |
"outputId": "f7a279f9-8d5e-4b81-8acd-260ac2f0e23d" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"\"abc def ghij\".split()" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 6, | |
"data": { | |
"text/plain": "['abc', 'def', 'ghij']" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "sk7j9SNZzIqJ" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### Faire simple et Pythonien (revoir les préceptes du Zen du Python):\n", | |
"Les codes ci-dessus sont **moches**, non pythonniens. Si on peut éviter les boucles, on évite.\n", | |
"\n", | |
"Ici la méthode *split()* échoue à casser la chaine de caractère:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "0F0iU_tZzIqK", | |
"outputId": "701bab19-3cff-4314-915a-0afe35b5ab01" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"\"222\".split()" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 23, | |
"data": { | |
"text/plain": "['222']" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "4tNKopTPzIqK" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"mais **list()** est la bonne solution! (Merci [stackoverflow !](https://stackoverflow.com/questions/17380592/how-to-split-a-string-using-an-empty-separator-in-python))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"**Conclusion partielle** En Python on va considérer pour ce problème, que les chiffres seront de type chaine de caractères et que les nombres seront de type int ou float." | |
], | |
"metadata": { | |
"id": "OYgBS19E6BNB" | |
} | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "Hj9ct0qNzIqL", | |
"outputId": "2858e9f2-7f65-43d4-9074-9e584c3c5dfb" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"list(\"222\")" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 24, | |
"data": { | |
"text/plain": "['2', '2', '2']" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "MRA2fQI4zIqL" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"# L'algorithme de Kaprekar en un exemple:\n", | |
"\n", | |
"Choisissons un nombre à quatre chiffres, sans zéro, ni répétition:\n", | |
" * 2536\n", | |
" \n", | |
"Construisons deux nouveaux nombres en triant les chiffres qui le compose, dans l'ordre décroissant et croissant et calculons la différence de ces deux nouveaux nombres:\n", | |
" * 6532-2356 = 4176 \n", | |
" \n", | |
"Recommençons: \n", | |
" * 7641-1467 = **6174**\n", | |
"**6174** est composé des chiffres *1*, *4*,*6*,*7*; si l'on applique l'algorithme de Kaprekar à **6174** on retrouve **6174**:\n", | |
" * 7641-1467 = **6174**\n", | |
" \n", | |
"En ayant appliqué l'algorithme deux fois, en partant de 2536, on trouve 6174 (qui boucle sur lui même):\n", | |
"$$2536 ⟼ 4176 ⟼ 6174 ⟼ 6174$$\n", | |
"\n", | |
"**Implémentons cet algorithme dans le langage Python**" | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "E-mUUgyQzIqL" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Commençons avec ce cas particulier:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "o49IV_PzzIqL", | |
"outputId": "7f9bd116-10ad-4f96-d506-cb1dde78753c" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"#Choisssons un nombre\n", | |
"n = 2563\n", | |
"print(\"La valeur initiale est:\",n, \"Ce nombre est de type:\",type(n))\n", | |
"\n", | |
"#On va devoir le transformer en chaîne de caractères\n", | |
"s = str(n)\n", | |
"print(\"Le nombre: \",s, \"est maintenant vu comme un objet de classe:\", type(s))\n", | |
"\n", | |
"#Pour extraire ses chiffres\n", | |
"print(set(s))\n", | |
"l = list(s)\n", | |
"print(\"l:\",l)\n", | |
"\n", | |
"#Puis les trier\n", | |
"l.sort()\n", | |
"r1 = l.copy()\n", | |
"l.reverse()\n", | |
"r2 = l\n", | |
"print(\"l triée:\",l)\n", | |
"\n", | |
"#et en refaire un nombre\n", | |
"r1 = int(''.join(r1))\n", | |
"r2 = int(''.join(r2))\n", | |
"print(r1,'',r2)\n", | |
"print(max(r1,r2)-min(r1,r2))\n", | |
"#print(\"Il y a une pépite cachée. Saurez-vous la trouver en modifiant la valeur de n?\")" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "La valeur initiale est: 2563 Ce nombre est de type: <class 'int'>\nLe nombre: 2563 est maintenant vu comme un objet de classe: <class 'str'>\n{'3', '2', '5', '6'}\nl: ['2', '5', '6', '3']\nl triée: ['6', '5', '3', '2']\n2356 6532\n4176\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "Agy-25vpzIqM" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Remarquez comment on a reconstrui un nombre à partir d'une chaîne de caractères en deux étapes:\n", | |
" * On prend une chaîne de caractère vide:\n", | |
" ```\n", | |
" ''\n", | |
" ```\n", | |
" * avec la méthode *join()* de cette liste, on peut lui ajouter des caractères, ici **'a'** et **'b'**.\n", | |
" * Ces caractères doivent être dans une **liste**: ``` ['a','b'] ```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "jga7D5F6zIqM", | |
"outputId": "09bbf8bd-4179-46ad-ec85-3dd187b42103" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"''.join(['a','b'])" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 8, | |
"data": { | |
"text/plain": "'ab'" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "G92duoXszIqM" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"On peut ajouter des chiffres, c'est à dire des nombres considérés comme caractères avec ``` '' ```:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "dlLLMcMizIqN", | |
"outputId": "48784336-beb0-452a-bcc7-712107468a1d" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"''.join(['1','2'])" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 11, | |
"data": { | |
"text/plain": "'12'" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"toc-hr-collapsed": true, | |
"toc-nb-collapsed": true, | |
"id": "vPzTa2rVzIqN" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Essayons d'écrire deux fonctions qui trient les chiffres d'un nombre dans l'ordre croissant ou décroissant:\n", | |
" * Récupérer les chiffres du nombre: Il faut convertir le nombre en chaîne de caractères (transtyper) et récupérer les caractères de la chaîne dans une liste.\n", | |
" * Trier la liste (on peut trier selon l'ordre alphabétique)\n", | |
" * Concaténer les caractères isolés en une seule chaîne\n", | |
" * transtyper la chaîne en type nombre entier." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "OH9w-_nVzIqN", | |
"outputId": "bbc5f49b-7023-49ea-c3b1-d1899aef8d60" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 2563\n", | |
"s = list(str(n))\n", | |
"#print('ceci est un ensemble',set(s))\n", | |
"#print('Ceci est une liste génerée en compréhension:',[c for c in s])\n", | |
"#s = [c for c in str(n)]\n", | |
"print(s)\n", | |
"s.sort()\n", | |
"print('Maintenant s est triée dans l\\'ordre alphabétique croissant', s)\n", | |
"s.reverse()\n", | |
"print('Maintenant s est triée dans l\\'ordre alphabétique décroissant', s)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "['2', '5', '6', '3']\nMaintenant s est triée dans l'ordre alphabétique croissant ['2', '3', '5', '6']\nMaintenant s est triée dans l'ordre alphabétique décroissant ['6', '5', '3', '2']\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "w8C7tI_MzIqO" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Définissons deux fonctions qui trient les chiffres dans l'ordre croissant et decroissant:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "FqoZ_mBvzIqO" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"def croiss(nombre):\n", | |
" s = list(str(nombre))\n", | |
" s.sort()\n", | |
" return int(''.join(s))\n", | |
"\n", | |
"def decrss(nombre):\n", | |
" #s = [c for c in str(nombre)]\n", | |
" s = list(str(nombre))\n", | |
" s.sort(reverse = True)\n", | |
" return int(''.join(s))" | |
], | |
"execution_count": 2, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "o5z11iDmzIqP" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### Comment taper un nombre avec quelques vérifications?\n", | |
" * Il doit y avoir quatre caractères\n", | |
" * il ne doit pas y avoir le chiffre zéro\n", | |
" * attention ne vérifie pas que l'entrée comporte des lettres ..." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "MxZDaYPRzIqP", | |
"outputId": "a951c256-67d4-4ebc-9feb-0984fdd22003" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = {'0'}\n", | |
"while (len(set(n)) != 4) or ('0' in set(n)):\n", | |
" n = input('taper un nombre à quatre chiffres tous différents sans zéro:')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "taper un nombre à quatre chiffres tous différents sans zéro:1234\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "1X_gLqSyzIqQ", | |
"outputId": "047bf071-e97d-43c6-96cb-f9d8ec017cde" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 1653\n", | |
"print('ascendant de n=',n,' est:',croiss(n))\n", | |
"print('descendant de n=',n,' est:',decrss(n))\n", | |
"diff = decrss(n)-croiss(n)\n", | |
"print('La différence des deux est:')\n", | |
"diff" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "ascendant de n= 1653 est: 1356\ndescendant de n= 1653 est: 6531\nLa différence des deux est:\n", | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "execute_result", | |
"execution_count": 15, | |
"data": { | |
"text/plain": "5175" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"toc-hr-collapsed": true, | |
"toc-nb-collapsed": true, | |
"id": "itdAxbTRzIqQ" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Appliquons une étape de l'agorithme de Kaprekar \n", | |
"Comme dans Jupyter on peut executer plusieurs fois la même cellule (Cliquer sur la cellule ci dessous, exécuter la plusieurs fois (avec la flêche de la barre ou SHIFT+Valider), on peut essayer d'appliquer une étape de transformation sur un nombre que l'on tape au clavier:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "J6mnuUplzIqR", | |
"outputId": "711de891-3d6d-458e-a366-9b2900240709" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = {'0'}\n", | |
"while (len(set(n)) != 4) or ('0' in set(n)):\n", | |
" n = input('taper un nombre à quatre chiffres tous différents sans zéro:')\n", | |
"print('Croissant de de n=',n,' est:',croiss(n))\n", | |
"print('Décroissant de n=',n,' est:',decrss(n))\n", | |
"diff = decrss(n)-croiss(n)\n", | |
"diff" | |
], | |
"execution_count": 3, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"taper un nombre à quatre chiffres tous différents sans zéro:2579\n", | |
"Croissant de de n= 2579 est: 2579\n", | |
"Décroissant de n= 2579 est: 9752\n" | |
] | |
}, | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"7173" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 3 | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"toc-hr-collapsed": true, | |
"toc-nb-collapsed": true, | |
"id": "ZXNcO7HyzIqR" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Incorporons les idées précedentes dans une fonction:\n", | |
"Faisons le plus court et lisible possible. Construisons une troisième fonction:\n", | |
" * qui prend un nombre (de quatre chiffres) comme argument.\n", | |
" * extrait ses chiffres\n", | |
" * construit deux nombres avec les chiffres rangés dans l'ordre décroissant et croissant.\n", | |
" * réalise la différence de ces deux nombres." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "0tn1ICHtzIqR" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"def Diff_Kap(N):\n", | |
" s = list(str(N))#on isole les chiffres sous forme de caracteres\n", | |
" s.sort()#on trie les caracteres (ascendant)\n", | |
" croiss = int(''.join(s))#on concatene les caracteres et on transtype en nombre entier\n", | |
" #print(asc)\n", | |
" s.reverse()#on trie (descendant)\n", | |
" decrss = int(''.join(s))\n", | |
" #print(desc)\n", | |
" diff = decrss-croiss\n", | |
" return diff" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "4bXk92HpzIqR", | |
"outputId": "99ff0185-5c5e-4c11-9893-be65b5b64182" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"Diff_Kap(6297)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 28, | |
"data": { | |
"text/plain": "7083" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "M9urq_y4zIqS" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Composition de la fonction jusqu'à trouver **6174**\n", | |
"Composons la fonction avec elle même, jusqu'à ce que l'on trouve $6174$" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "RxwUyMDXzIqS", | |
"outputId": "ea792244-7ee1-4f4e-ea20-e4b99d4afbb8" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 6297\n", | |
"print(n)\n", | |
"print(Diff_Kap(n))\n", | |
"print(Diff_Kap(Diff_Kap(n)))\n", | |
"print(Diff_Kap(Diff_Kap(Diff_Kap(n))))\n", | |
"print(Diff_Kap(Diff_Kap(Diff_Kap(Diff_Kap(n)))))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "6297\n7083\n8352\n6174\n6174\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"tags": [ | |
"Kaprekar" | |
], | |
"id": "cW2jjFe4zIqT" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### Essayons de construire une fonction qui s'appelle elle même automatiquement comme ci dessous:\n", | |
"\n", | |
"```python\n", | |
" n = 6297\n", | |
" print(n)\n", | |
" print(Diff_Kap(n))\n", | |
" print(Diff_Kap(Diff_Kap(n)))\n", | |
" print(Diff_Kap(Diff_Kap(Diff_Kap(n))))\n", | |
" print(Diff_Kap(Diff_Kap(Diff_Kap(Diff_Kap(n)))))\n", | |
"```\n", | |
"\n", | |
"On peut écrire une fonction qui s'appelle elle même jusqu'à trouver **6174**, c'est une fonction récursive:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "yc5d1r-KzIqT" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"def r_Kaprekar(N):\n", | |
" if N == 6174:\n", | |
" return 6174\n", | |
" else:\n", | |
" print(N)\n", | |
" N = Diff_Kap(N)\n", | |
" print('next N:',N)\n", | |
" return r_Kaprekar(N)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "Id-r79fXzIqU" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Un petit test:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "D6psXe6TzIqU", | |
"outputId": "823c9d17-9fdd-414a-fc1c-c33c7796ec92" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 6297\n", | |
"r_Kaprekar(n)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "6297\nnext N: 7083\n7083\nnext N: 8352\n8352\nnext N: 6174\n" | |
}, | |
{ | |
"data": {}, | |
"execution_count": 25, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "8pqprhVczIqU" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Améliorons cette fonction pour qu'elle stocke les résultats intermédiaires dans une liste:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "eJCz9HPFzIqU" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"def r_Kaprekar_liste(N, kaplist = []):\n", | |
" if kaplist == []:\n", | |
" kaplist.append(N)\n", | |
" if N == 6174:\n", | |
" return kaplist\n", | |
" else:\n", | |
" N = Diff_Kap(kaplist[-1])\n", | |
" kaplist.append(N)\n", | |
" return r_Kaprekar_liste(N, kaplist)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "HP20QBh1zIqV" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### Il y a un bug (subtile ?):\n", | |
"\n", | |
"```python\n", | |
"def r_Kaprekar_liste(N, kaplist = []):\n", | |
" if kaplist == []:\n", | |
" kaplist.append(N)\n", | |
" if N == 6174:\n", | |
" return kaplist\n", | |
" else:\n", | |
" N = Diff_Kap(kaplist[-1])\n", | |
" kaplist.append(N)\n", | |
" return r_Kaprekar_liste(N, kaplist)\n", | |
"```\n", | |
"\n", | |
"Si on appelle la fonction **r_Kaprekar_liste(N, kaplist = [])** en omettant les crochets:\n", | |
"\n", | |
"\n", | |
"```python\n", | |
" r_Kaprekar_liste(6297)\n", | |
"```\n", | |
"\n", | |
"A l'appel suivant la liste passée en paramètre n'est pas reinitialisée et la valeur 6174 est ajoutée en fin de liste" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "_vDzJ2rezIqV", | |
"outputId": "5d484f60-bd0b-4437-df9f-a327f9d30fc9" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 6297\n", | |
"KL = r_Kaprekar_liste(n)\n", | |
"print(KL)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[6297, 7083, 8352, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "k7gMR7y8zIqW", | |
"outputId": "7366e1e0-8ce5-48e4-fa72-2ae11433ef00" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 6297\n", | |
"KL = r_Kaprekar_liste(n)\n", | |
"print(KL)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[6297, 7083, 8352, 6174, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"toc-hr-collapsed": true, | |
"toc-nb-collapsed": true, | |
"id": "BxBEC-rtzIqW" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Il faut donc ne pas omettre de passer une liste vide en paramètre:\n", | |
"```python\n", | |
" n = 6297\n", | |
" KL = r_Kaprekar_liste(n, [])\n", | |
" print(KL)\n", | |
"```\n", | |
"\n", | |
"Il y a peut-être un autre moyen de procéder ... On peut essayer avec quelques exemples:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "MPudsPzszIqW", | |
"outputId": "c5457043-b083-4bc4-b9ab-e383368a964f" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 5297\n", | |
"KL = r_Kaprekar_liste(n,[])\n", | |
"print(KL)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[5297, 7173, 6354, 3087, 8352, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "6m89Wl5-zIqW", | |
"outputId": "6eba4880-4238-48c8-f483-301d804da312" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 3297\n", | |
"KL = r_Kaprekar_liste(n, [])\n", | |
"print(KL)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[3297, 7353, 4176, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "kMe2Bf_3zIqX", | |
"outputId": "bea3628a-9c61-44ce-d5c6-f8ff6cff9a0b" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 6297\n", | |
"KL = r_Kaprekar_liste(n,[])\n", | |
"print(KL)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[6297, 7083, 8352, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "9SyF0r5FzIqX", | |
"outputId": "3dbc8ccd-f51b-41a6-ce4c-e6867875f057" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n = 8352\n", | |
"KL = r_Kaprekar_liste(n, [])\n", | |
"print(KL)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[8352, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"toc-hr-collapsed": true, | |
"toc-nb-collapsed": true, | |
"id": "PU__Rg5rzIqY" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Quels sont tous les nombres de Kaprekar à quatre chiffres ?\n", | |
"\n", | |
"Dans un nombre de Kaprekar, des nombres dont l'ordre des chiffres est différents sont équivalents. Par exemple 1257 et 5721 sont equivalents puisque dans les deux cas on calculera 7521-1257. \n", | |
"\n", | |
"Conditions pour construire un nombre sur lequel appliquer l'algorithme:\n", | |
" * pas de zéro\n", | |
" * pas de répétition\n", | |
" \n", | |
"Pour bien former un nombre, tirons simultanément quatre chiffres dans l'ensemble des chiffres $\\left\\{1,2,3,4,5,6,7,8,9 \\right\\}$\n", | |
"\n", | |
"Combien cela fait-il de nombres différents? Demandons à python:\n", | |
"\n", | |
"```python\n", | |
"from scipy.special import binom\n", | |
"print(binom(9,4))\n", | |
"```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "TiysAEIUzIqY", | |
"outputId": "22d8d032-fb8c-44ff-8a3d-abf8cd05cee2" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"from scipy.special import binom\n", | |
"print(binom(9,4))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "126.0\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "doqPt8tBzIqZ" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Il y a donc $\\dbinom{9}{4}=\\dfrac{9!}{4!(9-4)!}=126$ nombres obéissants à ces contraintes. Rappelons que: $$9! =9 \\times 8 \\times \\dots \\times 3 \\times 2\\times 1$$ et $9!$ se dit *factorielle de 9*\n", | |
"\n", | |
"Réalisons ce tirage de quatre chiffres avec la fonction *combinations* du module **itertools**:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "NPAy2TD-zIqZ", | |
"outputId": "cfc0c9cf-c47d-48cd-d035-91ae8a27281d" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"from itertools import combinations, permutations\n", | |
"\n", | |
"chiffres = [1,2,3,4,5,6,7,8,9]\n", | |
"print('il y a :',len(list(combinations(chiffres, 4))),' nombres de Kaprekar')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "il y a : 126 nombres de Kaprekar\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "ylcmdisozIqZ" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Construisons l'ensemble de ces 126 nombres possibles. Appelons cet ensemble **E_Kaprekar_126**.\n", | |
"```Python\n", | |
"next(E_Kaprekar_126)\n", | |
"```\n", | |
"permet de construire successivement chacune des combinaisons données sous forme de *tupple* (ici un quadrupplet) de chiffres.\n", | |
"Chaque combinaison est convertie en nombre:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "Jm6O5x8XzIqa", | |
"outputId": "a6796101-4d72-49aa-ccee-a77ba01a2dac" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"E_Kaprekar_126 = combinations(chiffres, 4)\n", | |
"kap001 = next(E_Kaprekar_126)\n", | |
"print(\"La première combinaison de quatre chiffres est\",kap001)\n", | |
"print(\"On convertit cette liste de quatre chiffres en un nombre à quatre chiffres:\")\n", | |
"\n", | |
"kap001 = int(''.join([str(c) for c in kap001]))#convertir la liste de chiffre en un nombre\n", | |
"\n", | |
"print(kap001)\n", | |
"\n", | |
"kap002 = next(E_Kaprekar_126)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "La première combinaison de quatre chiffres est (1, 2, 3, 4)\nOn convertit cette liste de quatre chiffres en un nombre à quatre chiffres:\n1234\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "ZF8KIeSQzIqa" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### Permutation de quatre chiffres:\n", | |
"Combien y a t-il de façons d'ordonner quatre chiffres? On peut montrer qu'il y a *factoriel 4* façons d'arranger quatre chiffres différents, c'est à dire: $$4!=4 \\times 3 \\times 2 =24$$\n", | |
"\n", | |
"Vérifions le avec le morceau de code suivant qui donne toutes les permutations ordonnées de la combinaison ```(1,2,3,5)```, que l'on a étiqueté avec la variable **kap002**:\n", | |
"```Python\n", | |
"list(permutations(kap002))\n", | |
"```\n" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "-ThRNbn2zIqb", | |
"outputId": "49722f60-4704-4d84-9f2d-4d57093c69b7" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"list(permutations(kap002))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 22, | |
"data": { | |
"text/plain": "[(1, 2, 3, 5), (1, 2, 5, 3), (1, 3, 2, 5), (1, 3, 5, 2), (1, 5, 2, 3), (1, 5, 3, 2), (2, 1, 3, 5), (2, 1, 5, 3), (2, 3, 1, 5), (2, 3, 5, 1), (2, 5, 1, 3), (2, 5, 3, 1), (3, 1, 2, 5), (3, 1, 5, 2), (3, 2, 1, 5), (3, 2, 5, 1), (3, 5, 1, 2), (3, 5, 2, 1), (5, 1, 2, 3), (5, 1, 3, 2), (5, 2, 1, 3), (5, 2, 3, 1), (5, 3, 1, 2), (5, 3, 2, 1)]" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "0urCKLJKzIqb" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"On peut vérifier qu'il y a bien 24 permutations différentes de (1,2,3,5) en demandant la longueur de la liste des permutations de (1,2,3,5):" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "8a0EfrfPzIqc", | |
"outputId": "2bef1354-e420-4d80-9ca5-37ad8dbe3ea8" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"len(list(permutations(kap002)))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 23, | |
"data": { | |
"text/plain": "24" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "rw40EdnszIqc" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"#### Deux permutations du même quadruplet donnent la même suite, le premier élément de la suite non compris: \n", | |
"Vérifions le avec les deux permutations différentes (1,2,3,5) et (1, 2, 5, 3). On pose :\n", | |
"```Python\n", | |
"permutation1 = (1, 2, 3, 5)\n", | |
"permutation2 = (1, 2, 5, 3)\n", | |
"```\n", | |
"A ces permutations correspondent les nombres:\n", | |
"```Python\n", | |
"n1 = 1235\n", | |
"n2 = 1253\n", | |
"```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "trsDAFq0zIqc", | |
"outputId": "a74f5efe-3523-48a7-ba49-d160e9783cbb" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"n1 = 1235\n", | |
"KL1 = r_Kaprekar_liste(n1,[])\n", | |
"n2 = 1253\n", | |
"KL2 = r_Kaprekar_liste(n2,[])\n", | |
"print(KL1)\n", | |
"print(KL2)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "[1235, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[1253, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "JgLhctXmzIqd" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Supprimons le premier élément de chacune des suites avec la méthode de liste ```.pop(0)```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "honlE17tzIqd", | |
"outputId": "b1f5c0d0-fb13-43a8-f712-9ccc28012f89" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"print(KL1.pop(0))\n", | |
"print(KL2.pop(0))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "1235\n1253\n", | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "KAULGkFCzIqe", | |
"outputId": "caf0d2de-3749-41b4-c205-3d3dd7ebf49a" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"print( set(KL1) )\n", | |
"print( set(KL2) )" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": "{8172, 4176, 7443, 4086, 6264, 3996, 6174}\n{8172, 4176, 7443, 4086, 6264, 3996, 6174}\n", | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "execute_result", | |
"execution_count": 44, | |
"data": { | |
"text/plain": "True" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "il0aa90azIqe" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Accessoirement, pour vérifier que ces deux listes contiennent les mêmes éléments, on les converti en ensemble avec la fonction ```set()``` qui prend une liste et donne un ensemble des éléments uniques de la liste. Si l'ensemble KL1 est sous ensemble de KL2 et si KL2 est sous ensemble de KL1 alors KL1 et KL2 sont des ensembles égaux." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": true, | |
"id": "FvfCrRmYzIqe", | |
"outputId": "313a204e-3a42-4610-cd2c-563384de1fcb" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"set(KL1).issubset( set(KL2) ) and set(KL2).issubset( set(KL1) )" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"execution_count": 45, | |
"data": { | |
"text/plain": "True" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "5e84I4eIzIqe" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"**Conclusion:** On ne va considérer pour la suite que des *combinaisons* de chiffres et non leurs *permutations*." | |
] | |
}, | |
{ | |
"metadata": { | |
"toc-hr-collapsed": true, | |
"toc-nb-collapsed": true, | |
"id": "dzeA2VHNzIqe" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"# Générons toutes les listes à partir de chaque nombre de Kaprekar\n", | |
"Choisissons un nombre initial (c'est à dire une *combinaison* de chiffres) obéissant aux contraintes et appliquons lui l'algorithme de Kaprekar:\n", | |
" * prenons 1234 le premier nombre de l'ensemble **E_Kaprekar_126**\n", | |
" * le suivant est 4321 - 1234 = 3087\n", | |
" * recommençons avec 3087, on obtient 8352\n", | |
" * puis 6174\n", | |
" * on a donc la suite de nombres : [1234, 3087, 8352, 6174]\n", | |
" \n", | |
"A chaque combinaison de chiffres correspond une liste unique dont le dernier nombre est $6174$ :" | |
] | |
}, | |
{ | |
"metadata": { | |
"scrolled": true, | |
"trusted": false, | |
"id": "damVK-nOzIqe", | |
"outputId": "60ce5549-19ce-4d8e-9fa4-9a6d6530b2f8" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"for kap_n in combinations(chiffres, 4):\n", | |
" kap = int(''.join([str(c) for c in kap_n]))#convertir la liste de chiffre en un nombre\n", | |
" print(r_Kaprekar_liste(kap,[]))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[1234, 3087, 8352, 6174]\n[1235, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[1236, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[1237, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[1238, 7083, 8352, 6174]\n[1239, 8082, 8532, 6174]\n[1245, 4176, 6174]\n[1246, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[1247, 6174]\n[1248, 7173, 6354, 3087, 8352, 6174]\n[1249, 8172, 7443, 3996, 6264, 4176, 6174]\n[1256, 5265, 3996, 6264, 4176, 6174]\n[1257, 6264, 4176, 6174]\n[1258, 7263, 5265, 3996, 6264, 4176, 6174]\n[1259, 8262, 6354, 3087, 8352, 6174]\n[1267, 6354, 3087, 8352, 6174]\n[1268, 7353, 4176, 6174]\n[1269, 8352, 6174]\n[1278, 7443, 3996, 6264, 4176, 6174]\n[1279, 8442, 5994, 5355, 1998, 8082, 8532, 6174]\n[1289, 8532, 6174]\n[1345, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[1346, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[1347, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[1348, 7083, 8352, 6174]\n[1349, 8082, 8532, 6174]\n[1356, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[1357, 6174]\n[1358, 7173, 6354, 3087, 8352, 6174]\n[1359, 8172, 7443, 3996, 6264, 4176, 6174]\n[1367, 6264, 4176, 6174]\n[1368, 7263, 5265, 3996, 6264, 4176, 6174]\n[1369, 8262, 6354, 3087, 8352, 6174]\n[1378, 7353, 4176, 6174]\n[1379, 8352, 6174]\n[1389, 8442, 5994, 5355, 1998, 8082, 8532, 6174]\n[1456, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[1457, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[1458, 7083, 8352, 6174]\n[1459, 8082, 8532, 6174]\n[1467, 6174]\n[1468, 7173, 6354, 3087, 8352, 6174]\n[1469, 8172, 7443, 3996, 6264, 4176, 6174]\n[1478, 7263, 5265, 3996, 6264, 4176, 6174]\n[1479, 8262, 6354, 3087, 8352, 6174]\n[1489, 8352, 6174]\n[1567, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[1568, 7083, 8352, 6174]\n[1569, 8082, 8532, 6174]\n[1578, 7173, 6354, 3087, 8352, 6174]\n[1579, 8172, 7443, 3996, 6264, 4176, 6174]\n[1589, 8262, 6354, 3087, 8352, 6174]\n[1678, 7083, 8352, 6174]\n[1679, 8082, 8532, 6174]\n[1689, 8172, 7443, 3996, 6264, 4176, 6174]\n[1789, 8082, 8532, 6174]\n[2345, 3087, 8352, 6174]\n[2346, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[2347, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[2348, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[2349, 7083, 8352, 6174]\n[2356, 4176, 6174]\n[2357, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[2358, 6174]\n[2359, 7173, 6354, 3087, 8352, 6174]\n[2367, 5265, 3996, 6264, 4176, 6174]\n[2368, 6264, 4176, 6174]\n[2369, 7263, 5265, 3996, 6264, 4176, 6174]\n[2378, 6354, 3087, 8352, 6174]\n[2379, 7353, 4176, 6174]\n[2389, 7443, 3996, 6264, 4176, 6174]\n[2456, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[2457, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[2458, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[2459, 7083, 8352, 6174]\n[2467, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[2468, 6174]\n[2469, 7173, 6354, 3087, 8352, 6174]\n[2478, 6264, 4176, 6174]\n[2479, 7263, 5265, 3996, 6264, 4176, 6174]\n[2489, 7353, 4176, 6174]\n[2567, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[2568, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[2569, 7083, 8352, 6174]\n[2578, 6174]\n[2579, 7173, 6354, 3087, 8352, 6174]\n[2589, 7263, 5265, 3996, 6264, 4176, 6174]\n[2678, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[2679, 7083, 8352, 6174]\n[2689, 7173, 6354, 3087, 8352, 6174]\n[2789, 7083, 8352, 6174]\n[3456, 3087, 8352, 6174]\n[3457, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[3458, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[3459, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[3467, 4176, 6174]\n[3468, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[3469, 6174]\n[3478, 5265, 3996, 6264, 4176, 6174]\n[3479, 6264, 4176, 6174]\n[3489, 6354, 3087, 8352, 6174]\n[3567, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[3568, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[3569, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[3578, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[3579, 6174]\n[3589, 6264, 4176, 6174]\n[3678, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[3679, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[3689, 6174]\n[3789, 6084, 8172, 7443, 3996, 6264, 4176, 6174]\n[4567, 3087, 8352, 6174]\n[4568, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[4569, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[4578, 4176, 6174]\n[4579, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[4589, 5265, 3996, 6264, 4176, 6174]\n[4678, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[4679, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[4689, 5175, 5994, 5355, 1998, 8082, 8532, 6174]\n[4789, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n[5678, 3087, 8352, 6174]\n[5679, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[5689, 4176, 6174]\n[5789, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n[6789, 3087, 8352, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "ehkgz061zIqf" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Générons l'ensemble de toutes ces listes:\n", | |
"Il faudrait modifier ce code pour avoir un objet qui génère une liste à la demande (Ici ce n'est pas trop génant, la liste n'est pas si grande)." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "Iy9fN6LBzIqf" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"E_suites_Kaprekar = []\n", | |
"for kap_n in combinations(chiffres, 4):\n", | |
" kap = int(''.join([str(c) for c in kap_n]))#convertir la liste de chiffre en un nombre\n", | |
" E_suites_Kaprekar.append(r_Kaprekar_liste(kap,[]))" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"toc-hr-collapsed": true, | |
"toc-nb-collapsed": true, | |
"id": "8cQgOW3wzIqf" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Représentons toutes les listes sous forme d'un graphe particulier: un arbre.\n", | |
"\n", | |
"Prenons par exemple la première liste et la troisième liste:\n", | |
" * [1234, 3087, 8352, 6174]\n", | |
" * [1236, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n", | |
" \n", | |
"On retrouve l'élément 8352 de la première liste, dans la troisième liste. On peut donc brancher la troisième liste sur la première.\n", | |
"On peut faire cela si on imagine que les éléments de ces listes sont les sommets d'un graphe et deux éléments successifs une arrête de ce graphe.\n", | |
"### Commençons par créer un graphe à partir de la première suite:\n", | |
" * On commence par créer un objet graphe orienté à partir de la bibliothèque [networkx](https://networkx.github.io/) installée au début. On trouve des tuto en français:\n", | |
" * [tuto](https://he-arc.github.io/livre-python/networkx/index.html)\n", | |
" * [tuto2](https://iut-info.univ-reims.fr/users/blanchard/ISN20181218/utilisation-de-la-bibliotheque-networkx.html)\n", | |
" * On ajoute ensuite les noeuds dans le graphe (On aurait sans doute pu ajouter les noeuds directement).\n", | |
" \n", | |
"Commençons à jouer avec les graphes, en créant un graphe orienté, $K_1$,dont chaque sommet de ce graphe sera un nombre d'une liste finissant par $6174$." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "-dzR5UlNzIqg", | |
"outputId": "a5b1cc59-5993-4e32-cf77-08adc78b1d15" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"nodes1 = E_suites_Kaprekar[0]#[6174,8352,3087,1234]\n", | |
"print(nodes1)\n", | |
"K1 = nx.DiGraph()\n", | |
"for n in nodes1:\n", | |
" K1.add_node(n, kapn= str(n))\n", | |
"print(\"Les sommets du graphes sont:\",K1.nodes, \" et K1 est:\",type(K1))" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[1234, 3087, 8352, 6174]\nLes sommets du graphes sont: [1234, 3087, 8352, 6174] et K1 est: <class 'networkx.classes.digraph.DiGraph'>\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "hacFvUS1zIqh" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"from networkx import draw" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "AeZY2EJmzIqi" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Voilà a quoi ressemble un graphe à quatre sommets non connexes:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "1-Aq8smMzIqi", | |
"outputId": "26212a98-e740-41e1-aefe-8d2b8d18d94c" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"draw(K1)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"data": { | |
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}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "gyC07wVOzIqj" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Encore *stackoverflow.com*: Liste des arrêtes connaissant les sommets d'un graphe.\n", | |
"**Conjecture** Si vous vous posez une question d'algorithme en python, quelqu'un s'est déjà posé la même question sur *stackoverflow.com*\n", | |
"\n", | |
"**Liste des arrêtes connaissant les sommets:**\n", | |
"\n", | |
"Créons la liste des arrêtes à partir de la liste des sommets. Problème:\n", | |
"On a une liste de sommets:\n", | |
"\n", | |
" [A, B, C, D]\n", | |
"\n", | |
"et on veut en déduire une liste d'arrêtes:\n", | |
"\n", | |
" [(A, B), (B, C), (C, D)]\n", | |
" \n", | |
"Par exemple si chaque terme de la suite de Kaprekar est un sommet ```[1234, 3087, 8352, 6174]``` , alors on devrait avoir la liste d'arrêtes suivante: ```[(1234,3087) , (3087,8352), (8352, 6174)]```.\n", | |
"\n", | |
"Quelqu'un a rencontré un problème similaire et à posé la question sur *stackoverflow.com*:\n", | |
"\n", | |
"https://stackoverflow.com/questions/5434891/iterate-a-list-as-pair-current-next-in-python\n", | |
"\n", | |
"Piquons donc le snippet suivant:\n", | |
"```python\n", | |
"def pairwise(iterable):\n", | |
" \"s -> (s0,s1), (s1,s2), (s2, s3), ...\"\n", | |
" a, b = itertools.tee(iterable)\n", | |
" next(b, None)\n", | |
" return zip(a, b)\n", | |
"```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "UViCD6eezIqk" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"import itertools\n", | |
"def pairwise(iterable):\n", | |
" \"s -> (s0,s1), (s1,s2), (s2, s3), ...\"\n", | |
" a, b = itertools.tee(iterable)\n", | |
" next(b, None)\n", | |
" return zip(a, b)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "0bBYn1_GzIql", | |
"outputId": "d85c8838-0940-4b5e-ede6-04dff5d54acf" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"#nodes1.reverse()\n", | |
"arretes = list(pairwise(nodes1))\n", | |
"arretes" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"data": {}, | |
"execution_count": 48, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "tkxQU61kzIql" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"Ajoutons les arrêtes au graphe K1" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "FvfdyLA0zIqm" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"K1.add_edges_from(arretes)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "J-Zf7ZLUzIqm" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"$K_1$ est plus joli:" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "4BMNtJLJzIqn", | |
"outputId": "983d5d9c-0335-4500-8292-624cf250a08a" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"draw(K1, with_labels=True, node_size=1500, linewidths=2, node_color ='#ffc800', edgecolors ='#1f78b4')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "GPDiRGAhzIqn" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Recommençons avec K3\n", | |
"On va donc avoir un deuxième graphe K3 (avec la troisième suite de Kaprekar que l'on avait remarqué plus haut)." | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "IwtUmrQGzIqn", | |
"outputId": "f7268049-ed4d-46f8-c309-720eaa058f91" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"nodes3 = E_suites_Kaprekar[2]#[1236, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n", | |
"print(nodes3)\n", | |
"K3 = nx.DiGraph()\n", | |
"for n in nodes3:\n", | |
" K3.add_node(n, kapn= str(n))\n", | |
"arretes = list(pairwise(nodes3)) \n", | |
"K3.add_edges_from(arretes)\n", | |
"draw(K3, with_labels=True, node_size=1500, linewidths=2, node_color ='#ffc800', edgecolors ='#1f78b4')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[1236, 5085, 7992, 7173, 6354, 3087, 8352, 6174]\n" | |
}, | |
{ | |
"data": { | |
"image/png": 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h3T0wNg4qa2DXAS0cz3Xrr8Bi0c6z6gkIHmS7P9q3ANCGYnsiCT4hhN101griPUWtUbv55ufeNmD+sACuDdFC7d09cM//QfpGqK0HHy/bz/p4tfb4bh0Bb30Afe6AxkZ4eApMva31s1++AfHDoK4BnlsLdz+tnVc5Jw2a23PW2DPLl0nwCSG6XGesIL4xuZiNycWMDvHnqQkRjArxd+A36hxm1QKAWzuVWkafszD6w3fBlj2wcz94eUDNWdvP1pwF795aL27SQnj0J7B/nRaSc16CZ16DFY9rn731Ou1Pdzd4daEWkNlFEBPWej43FzMApqb29TQSfEKILvNjVhAffVVWy8/nriCeUljBjLcO9IgVxN0UbZqF2XLx76BDW00hOhQOnzMXpuA4GE0QHggVNVByCh6bDnp37fXzu7WeXXPwtTmvTjvvucwWNwDclZ45DaRnfishhMOlFlcy6dWvWmpQ/jpiM8kTf8ZLw9+4aOj9UKRPMS8Nf4PkiT/j1xGbW2pKTn71K1KLK7vmC9iBl14LvEqT7fBtlQE+TYYGo/Yowqbd8J90mHQjPDgRPvovfJUOZ+vhd29Bwlitx3eVL4QMgje2a8dVGeCdnRDb1JvLKoD0XG0ItLYOnvoLDO4HUSG27WpuT2/9lftLxYVI8AkhOt3e7HJmvn2gZbWBD29byKKozT+6Mom3Wz2LojbzwW2LWlYTmPV2Mp9ll3dSy+1raL/eAGRVD7HZbla1Xlq/yXDVJPjr+/DBHyD8Gq3H9+Yz8OBSuHoyGOpgzf+1Hrv997D7gHZs2P3gpsDqJ7R95RXwwHPa8GbofVB0Ej5eqX3mXFlVoQBEDug591PPJQvRCiE6lawgfn5VVVUcOHCAr7/+mq+//prMBj+8xv6CaQH7WH39Kkc3r8WTB5/ig7JxvDR1GImjgxzdnE4nPT4hRKdJLa5k/uZUGi1aweOXh7/eZUvsuLuovDL8deaGbUe1WFmwOa1bDXtarVaOHTvGxo0bmTdvHjExMQQGBrJixQoAFi9ezI6/vQpARtVQRza1jYwqbWw0ZpCPg1vSNXrmAK4Qwu4cuYJ4rerBlqLJLNqazq4nbnHIhBeTycShQ4daenNff/01rq6u3HTTTdx0003MnTuX4cOH4+bm1nJMg7kRL30Wx2oDyakOuuR7n10huzqYgtpAvPSuRA7smUOdEnxCiE7h6BXED1VEklMRwopPj7Lsnuguv25FRQX79+9vCbm0tDTCwsIYM2YMCQkJ/OlPfyIoKAjdBf5B9HLTnk/cmFxMUtEUXhr+Rpe3+2KSCqcAcF9cAHql5xUNALnHJ4ToBCmFZ3jgrWQUncqHty10yGKqR6pCmfrlKlSrwnuPxjM6pG+nndtqtZKXl9cScvv376esrIxRo0a19Oji4+Pp06fPJZ87t9zAnX/+D72VepIn/syhSxMZzB6M3r2RukYP9jx5K0N7ULGAc0mPTwjxo3WnFcT/cnQmq/fm8u7cGy/7XEajkdTUVJug69WrV0vILViwgJiYGBTlx/8VGt7fm9Eh/qQUVrAufxqLojb/6HNernX5CdQ1ehAf6t9jQw+kxyd6MKkHaR9XQo/lzJkzpKWlMWHChHaP++6771qGLffv3096ejoRERGMGTOmJewCAwO7rN3drce89dEbe0RlnPORHp/ocaQepH11xxXENxVNISmlmOX3DiMrK4vx48djMBioqalBp9Nx9OhRm0kop06dIj4+nptuuonly5czevRovLy8Ln7BTjI6pC+zbwxmw4EinkpbxL/GLuyy2bDtMVkUnk5biGpVmD0muEeHHkiPT/QgnVEPsllPqgfZlRrMjVz/8h5qjY3sHreg28xKnPz5a3jpXVk+wsTPHpxJXV0d7u7u3HjjjWRmZtKnT5+WntxNN91EdHQ0rq6O7e3XmVQmv/oVxRV1zAzexSvDX7fLBCGrFZYcXsCWoskE+Xs6bFasPfXsbyecgtSDdJzzrSDuNc72c/VGmJ8Af31ae//2h/D7f8CpM3DzcFj/LAzqp+2rMsATq7XldEA7btlc7efTFdq+Lw9p5bqGhWrL6pxb0Ll5BfGC2kBm/eppTHV1AFgsFiIjI9m8eTODBv1gHZ5uwNNdYdWMEcx6O5ktRZPxUuq7/JEQqxVeyZrDlqLJ6BUXVs0Y4RT/rcsD7OKKJvUgHet8K4g3r+5d+zmc+gQ89DD9Dm3fF6mw5E34cAVU/BtCBsLM37Ueu/DP2pI5RTvgf3+Df+yGv3/cdN56uCEKUjdoxz58F9z1lFZ38lzNK4iPmnQfQ4YMwc3NDZ1OR01NTbcMvWYjg/x4fVYciouOdfkJPHt4AaYOFLC+HCaLwpLDC1iXn4DiomPNrDhGBvl1ybW6Gwk+ccWSepCO15EVxLd9Dlf7wS0jtPcffw3Tb9dqTrq7wfNz4D+H4FiZtv+j/8LiRPDspS2Q+ot7YP1H2r7QwbBoFgy8Clxd4dGpYDLD0RLbazavIH7TPTPJz8/n+++/51//+hePP36eJQq6kfFR/XkzcSR6xYXNRZP5yReryKoKufiBl+BIVSj3frG6pae3NnEkd3Tzcm+dSYJPXJGa60E2Vwn5cOyiTp8JN8y3gH+NXcjM4F0YVQvzklLZK+Fn42IriIO2OsDPJmMzZHfuzILmn48UnH//ufvOlZ4LJhXCAmy3/3AF8T59+jBp0iRuvPHyH3Gwp/FR/dn8SDxB/p5k14Tyky9Xsyr7QQxmjx91XoPZg1XZDzL1y1Xk1IQQ5O/J5kfinSr0QIJPXIGkHmT3caEVxAGKT2r34x6+q3XbpHjY+hlk5EF9A7ywXgvFuobW/b/fqK0onl8K6z9u3XeumrPw0HJY+ou2K5L3hBXERwb5seuJW5g9JhjVqvCXozOJ/3Qjz6bPJ7s6+JLOlV0dzLPp8xm9eyN/OTqzZfbmriducZrhzXP1/LuYokdx9nqQ3c2FVhAH+McubfJKyDm31caPguVz4b7fauH15E/B2xMCrtb2/2URPP4nGDod+vrAzAna6uPnqm+Ae56G+Gj47cNtr9tTVhD3dFdYdk80k4cNYPXeXJILKthUNIVNRVMY4lVKjG8+Mb55RPsWNM1YNmO2uGkzlqtCyawaSkZVGAXnzFiOD/Vn0XjnnrEs/+eKK4qz1YPs7i62gvjGXfCbn7XdvuB+7QWQWwIv/V2boQng7wObXmj97JI3YNS1re+NJpj6DAT0g7W/ab9dPW0F8dEhfXl37o3klhvYlFLMtrQyjtUGcqw2kA/Kxl30eC+9K/fFBZA4OqhHV2TpKAk+ccVIKTzTMntzZdxquz7gC9qw58q41Uz9cpU223PYgE6tB9ldWa1WqqqqKCkpobS0lJKSktaX31joM7jNCuIA+zPg+HfaRJZzNRghv0yb3FJaDo/+P3jiAfBrKnN5rAx8vcHXC/6dAm99AF821W42q3D/b7VZou/8DlzOk2s9dQXx8P7eLL93GEumRJFz0kDmCa0qUc4pA2eNKibVgrviQm+9QuSApqpEg3yIHOjdYwtOX46e9V+F6NF6Wj3I7sJkMlFWVtYSZm3CraQEnU7HNddcY/OaMmUKbtVX82WZmazqITbPRII2qSVhLHj3tr1egwlm/Q6OHdeGOH9+N7z4aOv+1Bx48s/a83zh18Cm5VpIghamH3+tBZ/vOdXHdq1unTUKPX8Fcb3iyvBAX4YH+jq6KVckCT5xRcgtN5BSWEFvpZ65YTsc2pa5Ydt5O38qyQUV5JUbuvXQkdVq5fvvv7cJsR8G2/fff8/AgQNtQm3EiBHce++9Le99fNpfkNSaXMyXZUfIrAxrs+98w5C+3pCx6fxtnjFee7XntjiwJl/sW0Nm08Kuwwb3zIVUxY8jwSeuCN29HqSj1NfXtwRZez21kpISPDw8CAwMJCgoqCXIrr/++pafBwwYcNmrDMQ0BYusIC6uJBJ8ottrMDey/ZD2dHNi8E4Ht0aTGLKTTUVT2JZWxpIpUV1y/8RisXD69Ol2w6z5VV1dTUBAgE1vLT4+nhkzZnDNNdcQGBjYpcWWIwd446V3lRXExRVFgk90e5dTD9Jk1u4jHcyG4lPw+eswdmTrZyc/CV8dbn1vMkNEEGQ2DcGNm689NG00aVPxX3gUfnJr6+fPrQeZc9LA8EBfLBYLb775Jv/+97/54IMPLvq9amtrz9tLKykpoaysDB8fnzb31m6++eaWUOvfvz8u55vhYQeygri4EknwiW7vQvUgW36ugwF3tdaDBO35sScfgOnPtj3nrj/bvh/7K7j9+tb3ry6Ea0NAUSDlCIz/NeRu1UplNYv1zaegNpDME9V4mc4wc+ZMsrKyMJlMqKrKqVOn2g205rCrq6trE2pjx45t+TkgIAAPjx9XqcMeEuOD2JhczI7S23nm2g0OX49vR6n2G1Hi6CCHtUN0bxJ8otu7nHqQ7m7ag9EArhfpEBWd0Hp/G55v3RZ7zi0rnU6bRl9abht8Mb55fFA2jrVbd/HzvzxOY2Mjzat8eXh40K9fP5tQCw8PZ/z48S3v+/bti85eDyJ2IVlBXFxpJPhEt3e59SA7auMuuGW4VhD5XHc/BXu/0YY7J8bD9VG2+5vrQX6vuuPq6oqiKDQ0NODh4cFnn312xdSF7AyLJoTzwFvJrMmdwcSBBxy2gvia3Olae8ZH2P364srRM8oaiB7tcupBXoqNu2B2O8d+/Ccw7IOdq+DOUW0flm5uT0DwEAwGA//85z+5++67UVWV2tray2vMFap5BXHVqvBU2qIuW0rnfJxtBXHx40jwiW7vcupBdtR/07XFUO+/vf39bgpMHgP//h/86z8/2HdOPUg3NzfuuusuPvroI2praxk//jwPovVgiydFEOTvSU5NCEsz5tmssNCVrFZYmjGvZbWBxROltycuTIJPdHsdqQf58JTLO3dzdREvzwt/TlW1SiPnOl89SHd39x5x7+5SNa8grldc2FI0mVey5nR5+DnrCuLix5HgE92eV1O9xUupBwnavbkGo/azSdV+Pvcv4voGbXmcHw5z5hTBrv3afrMKSbvgP+lw23W2n+up9SB/DFlBXFwJJPhEtxd+tfYAdlb1kDb7zlcPEiBiBnjcpgXjxCe0n4tPtu7/4D9a+axxI22Ps1ph2dtw9RToNwle3QrvvQRxkbaf6+n1IC+XrCAuujud1WqvkfgrT4O5kZxTBjKPaxXQj5YbqDWqmFULbooLXnqFiP5NFdAH+xA5wJtebvLA7I9htVopKSnhm2++aXllNvjR+7Y5TAvYx+rrVzm6iS2ePPgUH5SN46Wpw+SZsXakFleyaGs6xRV1KDqV+eHvMzds+496zs9g9mBdfgJrcqejWhWC/D1ZNWOE9PTEJZHga0duuYGk5GK2Hyqj1tjY4eO89FoVi8T4IMLlGaIO+e6771oC7n//+x/ffPMNrq6u3HDDDS2vXoMjmb05iyFepXw2/leObnKL2/e+QUFtIB/Ov0mq5J9HnUllxadH2bC/CIDeSj1TAz4nMWQnUT5FHT5PdnUwSYVT2FE6jrpG7aH+2WOCWTwxQu7piUsmwXeOlMIzrNqTS0phRcu2IV6lxPrmEeOXT7TPsaZVjlXMFkVb5bh6CJmVYWRUDeXYOascjw7x56kJzr3K8Q8ZDAZSU1NtQq6qqorrr7++JeRGjRrF4MGDbSaHNJgbuf7lPdQaG9k9bkG3qQc5+fPX8NK7kvrcBCmNdREphWdaVhBvJiuIC0eR4KPpt9LdR9lwoAjQfiudFriPxOCdl/SXbE51EElFU9hRejtnVef+rdRoNHL48OGWgPvmm28oKSkhNjaWUaNGtQRdWFhYh2pN/u7DI2xMLiYx5JNuUQ/y2fT5bCqawsM3Bjl0dYYrzbkriF/qaIqsIC46i9MHX2pxJQu3plPSch9iK3PDdnTCfYhprMmd4RT3IRobG/n2229t7stlZ2cTHh5uM2QZHR2Nm5vbZV0jt9zAnX/+D72VepIn/szh9SBH795IXaMHe568Vf4ivgxGtVFWEBcO49TBtze7nPmbUzGpVqL6FLAybnWnllo6UhXK02kLyakJQa+4sGZW3BU/88xqtVJQUGATcocOHWLQoEE2ITdixAg8PS/ycGo9GBgAACAASURBVNwleuCtA6QUVvDriM0OrQe5KvtB/nJ0JvGh/j1iBXYhnI3TBt/e7HLmJR2k0QKzgnexLHYt7uepDPJjmCwKSzPmsaVoMoqLjjcTRzL+Cgq/kydP2oTcN998g6enp809uZEjR+Lr2/WTO1IKz/DAW8koOpUPb1vosHqQU79chWpV2ProjXKfSYgrkFMGX2pxJTPfPoBJtTI3bDtLotdfVnHjjmquLrEuP0F7tumR+G457FlVVcXBgwdt7svV19fb3JO74YYbGDBggMPauOxfWWw4UERkn0L+NXZhl/yycj4mi8K9X6wmpyaE2WOCWXZPtN2uLYToPE4XfHUmlUmvfkVJRR2zgnfx8vDXuzT0mlmtsOTwArYUTSbI35NdT9zi0AkvdXV1HDp0yKYnd/LkSeLi4mxCLiQkpFuV36ozqUx+9SuKK+qYGbyLV5z0358Q4vI5XfA19xii+hTw4dhFTtFjMJvNHDlyxCbk8vLyuPbaa21CLioqClfX7j+BILW4kllvJ2NULdJjF0JcMqcKvu52j+i9R+MZHdK3U89vsVjIy8uzeVYuIyOD4ODglntyN9xwA7Gxsej1+k69tj3tzS7nl0mpqBarXe/RSmksIa58ThV8PW1WoNVqpbS01KYnl5qair+/v01PLi4uDm/vnjflfm92OQs2p2FULTIrVwjRYU4TfFfCc2BlZWW89dZbLF++vN37at9//32bGZaATchdf/319OvXz67fx5GkHqQQ4lI5TfB198ofX3zxBVOnTqW2tpbCwkJ8fX1JS0uzGbKsrKxk5MiRNo8SBAQEdKvJJ44g9SCFEJfCKYKvu9d6/Kl7Oi+9sAyj0Yibmxv9+/enoqKiTXmvoUOHdqi8l7OSepBCiI5wiuBLL61i6pqvz1vd/909sPxtKCmHAX1hw/PQ1wd+trx11e2REfCXp+DapmXFlq2DlzeA3r31PBlJEDrY9twbd8LDL8C638IjP7Hd11zd/+SGhZhO5bVsT0xMZP369Zdd3svZST1IIcSFOMX4TebxagBiffPa7NuTAs+8ri00OupaOPm9tr23B/zzFQgaCBYLvP5P+OlzkLGp9dgHxkPS8vNft7IGXnkHokPb3x/rm09BbSCPL/sjxiN7+fjjjykuLqakpERC70cI7+/N8nuHsWRKlNSDFEK04RTBd6Qp+GL88tvsW/o2/G4OxDcV2B98des+36Zf+q1WcHWF/LJLu+5v34BfT4etn7W/P8Y3jw/KxqH0C2HlX//KX//6V06fPk1tbe2lXUi0S6+4MjzQV9bKE0LYcIobRkfLDQBE+xyz2d7YCAez4bsqCLsfAu6Bx1ZCfUPrZ3zHQ6/b4PE/wZKHbc/70X/B/06InglvbLPd978s7dy/TDh/u6J9CwDIOWVo2Xb11VcTGnqeLqIQQogfzSl6fLVG7cFmP3eDzfbyCjCr8M998NWb4KbAT/4PXvo7vNx0K7BqL5yth3c+0YY9m80YD49Ohf7+kJIF9/1W6yHOvFML1Pl/hNeehgvNRWluz1mj/arHCCGEs3OKHp9ZtQDg9oPKHh5NhUsenw4Dr4KrfGHRTNh5wPb43h5az+1ny+F004TBa0NgUD9tCHRMLDzxgBagAGu2QWxY6/Dp+bi5mAEwNbVPCCFE13OKHp+bouW72WL7df36QMDV2NR5PN8jcRYL1Bnh+HdwdTsz3HVo9wIBPjsIXx6Cnfu19xU1cCgX0vO0XmAzs0WbwOKuOMXvH0II0S04RfB56bWvWWlqO0X953fDX9+HSfHaUOfqd+Hum7TZnlf5aj23sw3w3Jvg5w1RwdpxH/4Hbh2hDW9+8y385X145Zfavg3PQ4Op9RoJv4H7x8Ev7rW9dnN7euud4l+DEEJ0C07xN25Ef2/SS6vIqh7C6KuybPY9Pwe+r4LwGdDLHWbcAc/O1iauPL4Kyk5rQ6KjroXdq6FX0/Dou3tgzktgNGu9xmcS4eG7tH2+P8hXdwX69AYfL9vtWVXaJJbIAfLMmBBC2ItTBN+wwT68d7CUzMqwNvvcFFizWHuda/od2ut8trzY8et/cZ4KaZlVQ1vaJ4QQwj6c4uZSTFOwZDQFTXeRUaUFccwgCT4hhLAXpwi+yAHeeOldOVYbSE51kKObA2i1OgtqA/HSuxI5UIY6hRDCXpwi+Hq5uZJwXQAASUVTHNwaTVKh1o774gKkTJYQQtiRUwQfQGK81tPbUXo7BrOHQ9tiMHuwo3QcAImju0cPVAghnIXTBF94f29Gh/hzVvVgXf40h7ZlXX4CdY0exIf6yyoAQghhZ04TfACLJoQDsCZ3BllVIQ5pw5GqUNbkTtfaMz7CIW0QQghn5lTBNzqkL7NvDEa1KjyVtgiTxb5Pc5gsCk+nLUS1KsweEyyLnAohhAM4VfABLJ4UQZC/Jzk1ISzNmIe9luG1WmFpxjxyakII8vdk8UTp7QkhhCM4XfB5uiusmjECveLClqLJvJI1p8vDz2qFV7LmsKVoMnrFhVUzRuDp7hS1A4QQottxuuADGBnkx+uz4lBcdKzLT+DZwwu6bNjTZFFYcngB6/ITUFx0rJkVx8ggvy65lhBCiIvTWa32GuzrfvZmlzN/00FMjRDVp4CVcauJ9i3stPMfqQrl6bSF5NSEoFdcWDMrjjui+nfa+YUQQlw6pw6+hoYGrp80HbdbHqFSVVB0KvPD32du2Ha83eov+7wGswfr8hNYkzsd1aoQ5O/JqhkjpKcnhBDdgFMH3xNPPMHx48d5Z9MW/vjvXDbsLwKgt1LP1IDPSQzZSZRPUYfPl10dTFLhFHaUjqOuUXtIfvaYYBZPjJB7ekII0U04bfB99NFHPPbYY6Snp+Pnp/XEUgrPsHpvLskFFS2fG+JVSoxvPjG+eUT7FuDnbsDNxYzZ4kalyZusqlAyq4aSURVGQW1gy3Hxof4sGh8hjywIIUQ345TBd+LECeLi4vjnP//JzTff3GZ/brmBTSnFbEsro9bY2OHzeulduS8ugMTRQVKRRQghuimnC77GxkbuvPNObr31VpYuXXrBzxrVRnJOGsg8Uc2R49XknDJw1qhiUi24Ky701itEDvBm2GAfYgb5EDnQWwpOCyFEN+d0wff73/+enTt3sm/fPhRF7rsJIYSzcYrgy8rK4tprr+V///sf9957L9988w3XXHONo5slhBDCAXp8l6esrIxhw4YxZcoUvv32W9544w0JPSGEcGLdOvgazI3knDKQeVy7x3a03ECtUcWsWnBTXPDSK0T0b7rHNtiHyAHe9HKzvceWlZWFt7c3u3fvRq/XM2jQIAd9GyGEEN1Btwy+3HIDScnFbD908VmV6aVVvHewFNBmVSZcF0BifBDhTbMqs7KyqKurw2KxUF9fzy233MJ3332Hr69vl38PIYQQ3U+3Cr6UwjOs2pNLSqHtc3SxvnnE+OUT7XOs6Tk6FbNF0Z6jqx5CZmUYGVVDOVYbyMbkYjYmFzM6xJ+nJkSwb98+Ghsb8fDwYPjw4fz5z3+W0BNCCCfWLSa31JlUVuw+yoYDRYBWOWVa4D4Sg3cS6VPc4fPkVAeRVDSFHaW3c1bVKqeYs/bA4Q9J2rCecePGdUHrhRBCXEkcHnypxZUs3JpOSUVdU63MrcwN29EJtTKnsSZ3htTKFEIIYcOhwbc3u5z5m1MxqVZZHUEIIYRdOCz49maXMy/pII0WmBW8i2Wxa3F3UTv9OiaLwtKMeWwpmoziouPNxJGMl/ATQgin5ZDgSy2uZObbBzCpVuaGbWdJ9Hp0uq67XvMK6OvyE9ArLmx+JF6GPYUQwknZfQX2OpPKwq3pmFQrs4J3dXnoAeh0sCR6PTODd2FULSzamk6dqfN7l0IIIbo/uwffit1HKamoI6pPActi13Z56DXT6WB57Foi+xRSXFHHik+P2ufCQgghuhW7Bl9K4Rk2HChC0amsjFvdJff0LsTdRbuuolPZsL+IlMIzdr2+EEIIx7Nr8K3akwvA/PCtnTp781IM8y1gfvj7AKzem+uQNgghhHAcuwVfbrmBlMIKeiv1zA3bYa/Ltmtu2HY8XetJLqggr9zg0LYIIYSwL7sFX1KyVoFlWuC+H/VwemfwdqtnWuDnACSldLwyjBBCiCufXYKvwdzI9kNlACQG77THJS8qMURrx7a0MozqhQthCyGE6DnsEnw5pwzUGhsZ4lVqU3szcSkMvAv63A7h0+HtD1uP+ewbiHwAPG+DcfOh+GTrvopqeOBZ6HsnXDURHvwd1JzV9pWcAq9xti9dPPxpk22bonyKCPUqpdbYSM5JGe4UQghnYZfgyzxeDUCsb57N9t8+DEU7oGYf/OuP8NxaSM2B76sg4Tfw4qNQ8W+4PgoeeK71uOfWQqUBCnfAsW1QXgHL1mn7rhkAtZ+3vjI3gYsL3NdOfepY33ytfSequ+R7CyGE6H7sEnxHmoIvxi/fZnt0KOjdtZ91Ou11rAy2f6Htm34H9NLDskfgcD7kFGmfLTwBU2+FPr3BxwumjYWs80wS3bgTbh0Bwe2sPxvTFMTN7RNCCNHz2SX4jjbNnIz2OdZm3/wV2nBm5AMwsC9MGQNZBTA8rPUzvT1gyGBtO8CC++Hjr6GyRntt+xwm39j2ulYrbNwFD09pv13RvtoJc07JUKcQQjgLuwRfrVF7UN3PvW3ArFkMhn3w1ZuQMFbrAdbWaz25c/n0BkOd9nNcBJjM0Hei9nJ1gfn3tb3ufw9rw6D3395+u5rbc9Yo5cuEEMJZ2CX4zKoFALfzVGpxdYWbR0DZd/DGNvDyaJ2s0qymDrw9tZ9nPAvh12iBWfMZDAmAxGVtz/vOJ9q9PS/P9tvl5mIGwNTUPiGEED2fXYLPTdEuY7YoF/ycqsKx49r9vcPnzIM5W6/d+4sO1d6n58G8adoQqJcn/HIa7Nxve676Bnh/3/mHObX2uAHgrti9ZKkQQggHscvf+F56LfAqTd4t205XwLt7oLYOGhvh02TYsgfuuB6m3QZHCmDbPmgwwgt/g9gwiAzWjr0hSnv0ob5Be731gbb/XDu+BD9vGDfy/O1qbk9v/YUDWQghRM9hl+CL6K8FTFb1kJZtOh28sR0C7gW/CfD0X+HPT8K9t0I/P9j2/+DZteB3J6Rkwbsvtp5v/XNQdFI7dvC9UHAC3nne9prv7ISHJnPB1R+yqrQuZOQA7/N/SAghRI9il67OsME+vHewlMzK1m5ZPz/48o3zHzN+FOS81/6+kEHw0Z8ufM1PX714uzKrhra0TwghhHOwS48vpilYMpqCprvIqNKCOGaQBJ8QQjgLuwRf5ABvvPSuHKsNJKc6yB6XvKjs6mAKagPx0rsSOVCGOoUQwlnYJfh6ubmScF0AAElFF5hmaUdJhVo77osLQK+4Org1Qggh7MVu8/gT47We3o7S2zGYPex12XYZzB7sKNWKdyaO7h49UCGEEPZht+AL7+/N6BB/zqoerMufZq/LtmtdfgJ1jR7Eh/oztL8McwohhDOx65PbiyaEA7AmdwZZVSH2vHSLI1WhrMmdrrVnfIRD2iCEEMJx7Bp8o0P6MvvGYFSrwlNpizBdpJJLZzNZFJ5OW4hqVZg9JphRIf52vb4QQgjHs3utrsWTIgjy9ySnJoSlGfOwWu1zXasVlmbMI6cmhCB/TxZPlN6eEEI4I7sHn6e7wqoZI9ArLmwpmswrWXO6PPysVnglaw5biiajV1xYNWMEnu5SpkwIIZyRQ6ozjwzy4/VZcSguOtblJ/Ds4QVdNuxpsigsObyAdfkJKC461syKY2SQX5dcSwghRPens1rtNdjY1t7schZsTsOoWojqU8DKuNVE+55nKfXLcKQqlKfTFpJTE4JecWHNrDjuiOrfaecXQghx5XFo8AGkFleyaGs6xRV1KDqV+eHvMzdsO95u9Zd9ToPZg3X5CazJnY5qVQjy92TVjBHS0xNCCOH44AOoM6ms+PQoG/YXAdBbqWdqwOckhuwkyqeow+fJrg4mqXAKO0rHUdeoPSRvPfo5r82dwD2TJ3ZBy4UQQlxpukXwNUspPMPqvbkkF1S0bBviVUqMbz4xvnlE+xbg527AzcWM2eJGpcmbrKpQMquGklEVRkFtYMtx8aH+LBofgaHgELNnz+bw4cP4+8vjC0II4ey6VfA1yy03sCmlmG1pZdQaGzt8nJfelfviAkgcHWRTkeXJJ5/k1KlTvPvuu13RXCGEEFeQbhl8zYxqIzknDWSeqObI8WpyThk4a1QxqRbcFRd66xUiB3gzbLAPMYN8iBzo3W7B6fr6ekaOHMnzzz/PzJkzHfBNhBBCdBfdOvg6U1paGpMnTyY1NZWAgABHN0cIIYSDOOQ5PkeIi4vj8ccfZ86cOVgsFkc3RwghhIM4TfAB/OY3v8FgMPD66687uilCCCEcxGmGOpvl5eUxZswYvvrqKyIjIx3dHCGEEHbmVD0+gKFDh/Liiy/y0EMPYTabHd0cIYQQduZ0wQcwb948+vXrx8svv+zopgghhLAzpxvqbHby5ElGjBjBRx99xKhRoxzdHCGEEHbilD0+gIEDB/Laa6/x0EMP8f777zNgwACysrIc3SwhhBBdzGmDD2DSpEkYjUZmzZpFVVUVhw8fdnSThBBCdDGnXY1VVVWuvfZaTp06haqqNDY2kpub2+5nG8yN5JwykHlcqyBztNxArVHFrFpwU1zw0itE9G+qIDPYh8gB3vRya1tBRgghhOM57T0+gHfeeYdFixZx9uxZjEYjU6ZM4ZNPPmnZn1tuICm5mO2HLr1maMJ1ASTGBxF+Ts1QIYQQjufUwQdQV1fHypUreeGFF+jTpw8VFRWkFJ5h1Z5cUgptV4mI9c0jxi+faJ9jTatEqJgtirZKRPUQMivDyKgayrFzVokYHeLPUxMiGBUiK0MIIUR34PTB16y0tJTt//qEysBb2HCgCNDWBZwWuI/E4J1E+hR3+Fw51UEkFU1hR+ntnFW1dQFnjwlm8cQIPN2ddnRZCCG6BQm+JqnFlSzcmk5Jy0rwW5kbtqMTVoKfxprcGbISvBBCdBMSfMDe7HLmb07FpFqJ6lPAyrjVRPsWdtr5j1SF8nTaQnJqQtArLqyZFccdUf077fxCCCE6zumDb292OfOSDtJogVnBu1gWuxZ3F7XTr2OyKCzNmMeWoskoLjreTBzJeAk/IYSwO6cOvtTiSma+fQCTamVu2HaWRK9Hp+u661mt8ErWHNblJ6BXXNj8SLwMewohhJ057QPsdSaVhVvTMalWZgXv6vLQA9DpYEn0emYG78KoWli0NZ06U+f3LoUQQpyf0wbfit1HKamoI6pPActi13Z56DXT6WB57Foi+xRSXFHHik+P2ufCQgghACcNvpTCM2w4UISiU1kZt7pL7uldiLuLdl1Fp7JhfxEphWfsen0hhHBmThl8q/Zopcnmh2/t1Nmbl2KYbwHzw98HYPXe9kulCSGE6HxOF3y55QZSCivordQzN2yHQ9syN2w7nq71JBdUkFducGhbhBDCWThd8CUlaxVYpgXu+1EPp3cGb7d6pgV+DkBSSscrwwghhLh8ThV8DeZGth8qAyAxeKeDW6NJDNHasS2tDKPa8ULYQgghLo9TBV/OKQO1xkaGeJW2qb1ZdAKmLAS/CTBgCjy2ElQVvq+Cm+ZC3zvBdzzc+Ah8fc6yfRs+Btcx4DWu9fVFqrbvdAXMfB4G3Q0+d2jnSTli26YonyJCvUqpNTaSc1KGO4UQoqs5VfBlHq8GINY3r82++X+Eq/3g5MeQ/g/48hCs2QZeHrD+OfhuN1TugWcegnv+TwvFZjcOg9rPW19jR2rba+vhhihI3QAV/4aH74K7noLaOttrx/rma+07Ud0VX1sIIcQ5nCr4jjQFX4xffpt9hSdgxnjopYcBfWFSPGQVau8jgsDFRau84uoClTVQUXPx64UOhkWzYOBV4OoKj04FkxmOlth+LqYpiJvbJ4QQous4VfAdbZo5Ge1zrM2+J38K7+6BugY4fhp2HdDCr1nsg9DrVrj3/+CRe+Hqc5bXO5QLV02E8Onw4nrb3uC50nPBpEJYgO32aN8CQBuKFUII0bWcanG4WqOWSH7ubQPm1hHw1gfQ5w5obISHp8DU21r3Z2yCBiPs+FLrtbUcdx0c2QxBAyCrAB54DhRX+O3DtuevOQsPLYelvwAfL9t9ze05a5TyZUII0dWcqsdnVi0AuP2gUovFApMWQsJYOPs5fP8pVBrgmddsj++lh5l3wu83wuGm24ShgyFkkDYUGhMGv/sF/HOf7XH1DXDP0xAf3TYQtfZoSWpqap8QQoiu41TB56ZoX9dsse3oVtRAySl4bDro3aGvD/z8bth5oP3zmBuh4Hj7+3Ro9wKbGU0w9RkI6Adrf3Oe81ncAHBXnOpfhxBCOIRT/U3rpdcCr9LkbbP9Kl+t1/bGdu3+XJUB3tkJsWGQfAT+m64Nb9Y3wB82QnkFjI7Wjt21H8qbSm3mFMGLf4ef3Kq9N6tw/2/BQw/v/E7rFbanuT299U418iyEEA7hVMEX0V8LmKzqIW32bf897D4A/SZD2P3gpsDqJ7Qe24KV0HciDL5X6wV+8icY1E877rODEJsIvcfClEXacOmS2dq+/Rnw8dfw7xTwndD6nN9X6bbXzqoKBSBygG0gCyGE6HxO1cUYNtiH9w6WklkZ1mbfiHD44o22x/TvC4eTzn/Olb/WXu25LQ6syRdvV2bV0Jb2CSGE6FpO1eOLaQqWjKag6S4yqrQgjhkkwSeEEF3NqYIvcoA3XnpXjtUGklMd5OjmAJBdHUxBbSBeelciB8pQpxBCdDWnCr5ebq4kXKc9PZ5UNMXBrdEkFWrtuC8uAL3i6uDWCCFEz+dUwQeQGK/19HaU3o7B7OHQthjMHuwoHQdA4uju0QMVQoiezumCL7y/N6ND/DmrerAuf5pD27IuP4G6Rg/iQ/0Z2l+GOYUQwh6cLvgAFk0IB2BN7gyyqkIc0oYjVaGsyZ2utWd8hEPaIIQQzsgpg290SF9m3xiMalV4Km0RJot9n+owWRSeTluIalWYPSaYUSH+Fz9ICCFEp3DK4ANYPCmCIH9PcmpCWJoxz6bMWFeyWmFpxjxyakII8vdk8UTp7QkhhD05bfB5uiusmjECveLClqLJvJI1p8vDz2qFV7LmsKVoMnrFhVUzRuDp7lQ1BIQQwuGcNvgARgb58fqsOBQXHevyE3j28IIuG/Y0WRSWHF7AuvwEFBcda2bFMTLIr0uuJYQQ4vx0Vqu9Bvm6r73Z5SzYnIZRtRDVp4CVcauJ9i3stPMfqQrl6bSF5NSEoFdcWDMrjjui+nfa+YUQQnScBF+T1OJKFm1Np7iiDkWnMj/8feaGbcfbrf6yz2kwe7AuP4E1udNRrQq9rXVs/NV46ekJIYQDSfCdo86ksuLTo2zYXwRAb6WeqQGfkxiykyifog6fJ7s6mKTCKewoHUddo/aQ/E/jBrDp/2bwt7fe4M477+yC1gshhOgICb52pBSeYfXeXJILKlq2DfEqJcY3nxjfPKJ9C/BzN+DmYsZscaPS5E1WVSiZVUPJqAqjoDaw5bj4UH8WjY9gVIg/+/bt46GHHiI9PZ1+/fo54qsJIYTTk+C7gNxyA5tSitmWVkatsbHDx3npXbkvLoDE0UFtKrI888wzZGdn8+GHH6LT6Tq7yUIIIS5Cgq8DjGojOScNZJ6o5sjxanJOGThrVDGpFtwVF3rrFSIHeDNssA8xg3yIHOh93oLTJpOJG2+8kblz5xIeHs7GjRvZsGGDfb+QEEI4MQk+B8jMzGTUqFFYrVZUVaWmpgZPT09HN0sIIZyCPD1tZ6dOneL++++nsbERs9mMt7c3R48e5brrrmvz2QZzIzmnDGQe13qaR8sN1BpVzKoFN8UFL71CRP+mnuZgHyIHeNPLTZY2EkKIC5HgszOTyYSLiwvu7u6YzWYaGhrIycmxCb7ccgNJycVsP3Txe4vppVW8d7AU0O4tJlwXQGJ8EOGy2oMQQrRLhjodwGq1sm3bNp544glOnDjBgw8+SFJSEimFZ1i1J5eUQtvZpLG+ecT45RPtc6xpNqmK2aJos0mrh5BZGUZG1VCOnTObdHSIP09NiJAC2EII8QMSfA6kqipLly7Fxd0D1+umseFAEaA9PzgtcB+JwTuJ9Cnu8PlyqoNIKprCjtLbOatqzw/OHhPM4okRUhNUCCGaSPA5WGpxJQu3plPSUjFmK3PDdnRCxZhprMmdgWpVCPL3ZNWMEVIxRgghkOBzqL3Z5czfnIpJtUqNUCGEsBMJPgfZm13OvKSDNFpgVvAulsWuxd1F7fTrmCwKSzPmsaVoMoqLjjcTRzJewk8I4cQk+BwgtbiSmW8fwKRamRu2nSXR6+nKIi7N6wCuy09Ar7iw+ZF4GfYUQjgtp16PzxHqTCoLt6ZjUq3MCt7V5aEHoNPBkuj1zAzehVG1sGhrOnWmzu9dCiHElUCCz85W7D5KSUUdUX0KWBa7tstDr5lOB8tj1xLZp5DiijpWfHrUPhcWQohuRoLPjlIKz7DhQBGKTmVl3Oouuad3Ie4u2nUVncqG/UWkFJ6x6/WFEKI7kOCzo1V7cgGYH761U2dvXophvgXMD38fgNV7cx3SBiGEcCQJPjvJLTeQUlhBb6WeuWE7HNqWuWHb8XStJ7mggrxyg0PbIoQQ9ibBZydJyVoFlmmB+37Uw+mdwdutnmmBnwOQlNLxyjBCCNETSPDZQYO5ke2HygBIDN7p4NZoEkO0dmxLK8OodnyRXSGEuNJJ8NlBzikDtcZGhniVtlt78909EPUA9B4LQ+6Dr9LBZIb7fwvBU0EXD1+k2h4z+UnwGtf6cr8ZYh5se+0v07Tjn3vTdnuUTxGhXqXUGrVFdoUQwllI5WI7yDxeDUCsb16bfXtS4JnX4b2XYNS1cPL71n03D4cnH4Dpz7Y9564/zAMeGAAABbFJREFU274f+yu4/XrbbWYVnlgNo6Pbb1esbz4FtYFknqhmeKDvpXwlIYS4YkmPzw6ONAVfjF9+m31L34bfzYH4YeDiAoOv1l7ubvDkT+HmEeB6kX9LRSfgq8Pws8m22/+0Ge4cBZFB7R8X0xTEze0TQghnIMFnB0ebZk5G+xyz2d7YCAez4bsqCLsfAu6Bx1ZCfcOlnX/jLrhlOAQPat1WfBLWfwS/+8X5j4v2LQC0oVghhHAWEnx2UGvUHlT3c7cNmPIKbTjyn/vgqzch/R9w6Ci89PdLO//GXTD7Ltttv14FLz4KXp7nP665PWeNUr5MCOE8JPjswKxaAHD7QaUWD7325+PTYeBVcJUvLJoJOw90/Nz/TYdTZ+D+21u3ffQVGOrggQkXPtbNxQyAqal9QgjhDGRyix24KdrvF2aL7T9uvz4QcDU29TovtXbnOzshYaxtz+6zg9oQ6oAp2vvqs9p9wsxj8OEfWz9ntrgB4K7I7z9CCOchwWcHXnrtH3OlybvNvp/fDX99HybFg5sCq9+Fu2/S9hlN2pJCACYVGoygd28Nx/oG2PoZ7PiD7TlffBR+87PW90+sgkH94Pmf236uuT299fKfgRDCecjfeHYQ0d+b9NIqsqqHMPqqLJt9z8+B76sgfAb0cocZd8Czs5uOmwHFp7SfJz6h/Vm4vXUSywf/AV9vGDfS9nrevbVXMw899O4F/j62n/v/7dxPTJt1HMfxD+1TahkVqAfYBimt/CnZmmCXCO42nc7tpCwjkXAgS8wSOQ0XDpq42w7GsJO9cNkBXdQonkxMlngzLlHiCg211lJS/+3gaCljoX1oPZRwYM4tZjztfN6v5Lm0eX7P9/bO8zz5PfFcUJIU6rg/yADwf0X4LHD0cIs++T6rxbWe+/5zGVJ0unrslfny39d945Xq8TDX3vvn3xdzvbvzAYBd8HLHAuGdsMR2QlMvYrlqiMOHCB8A+yB8Fgh1eNXsduqXjS4l8g/YTW6x5Xy30htdanY7FTrIo04A9kH4LPCUy6mR5zolSXOZMzWepmpupTrH2Uin3IazxtMAgHUIn0XGh6t3evPZF1UoeWo6S6Hk0Xz2hCRpfKg+7kABwCqEzyJ97V4NBXy6a3o0m3q9prPMpka0ue3RcNCn3nYecwKwF8JnoamX+yRJ0eSo4rlATWZYygUVTZ6rznOyvyYzAEAtET4LDQWe0cQL3TIrht5emFKxbO1ukmLZ0KWFizIrhiaOd+v5gM/S6wNAPSB8Fpt+tV9+X5MS6wFdjl3Y/TLLfqtUpMuxC0qsB+T3NWn6FHd7AOyJ8FmsqdHQzOig3IZD1zOndSV+ft/jV6lIV+LndT1zWm7DoZnRQTU18u0CAPZE+GrgmL9NH45FZDgaNJsa0bu3JvftsWexbOidW5OaTY3IcDQoOhbRMX/bvlwLAJ4EDZWKVQ/bsNeN5dua/HhBW2ZZA0+n9UHkqo60rjy29ZdyQV1auKjEekBuw6HoWEQvDbQ/tvUB4ElE+Grsh9U1TX36o1bvbMpoMPVW32d6s+cLeV33/vOahZJHs6kRRZPnZFYM+X1Nmhkd5E4PAET46sJm0dT7X/+ka99mJEkHjHt6rfMbjQe+0kBL5pHXWc53a27ljOazJ7S5Xd0kP3G8W9On+nmnBwA7CF8dubnyl67eSOq79J3d355tzircmlK49WcdaU2rrbEgl6OkUtmltaJX8VxQi7lexXI9Sm907Z43HPRp6mQ/WxYAYA/CV4eStwv66OaqPl/4VRtb2498XrPbqbORTo0P+fkiCwA8AOGrY1vmthJ/FLT4e15Lv+WV+LOgu1umimZZjYZDB9yGQh1eHT3covChFoUOevngNAA8BOEDANgK+/gAALZC+AAAtkL4AAC2QvgAALZC+AAAtkL4AAC2QvgAALZC+AAAtkL4AAC2QvgAALbyN5bVlTfYk5N5AAAAAElFTkSuQmCC\n" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "Zj9OxhrpzIqo" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"__*Peut-on fusionner $K_1$ et $K_3$ en un seul graphe?*__\n", | |
" * On peut regarder la doc de networkx, mais ne nombreuses personnes se sont déjà posé la question. Les mots clés suivants : **#networkx #union #merge #two #graph** dans un moteur de [recherche donnent des résultats](https://www.google.com/search?client=ubuntu&channel=fs&q=networkx+union+merge+two+graph&ie=utf-8&oe=utf-8).\n", | |
" * [Par exemple](https://stackoverflow.com/questions/49427320/joining-two-networkx-graphs-on-a-single-edge)\n", | |
"\n", | |
"Commençons par ce qui ne marche pas:\n", | |
"\n", | |
" * renvoie une erreur car les deux graphes ont des sommets en commun:\n", | |
" \n", | |
" ```python\n", | |
" K = nx.union(K1,K3)\n", | |
" ``` \n", | |
" * Pas d'erreur cette fois ci mais, les sommets perdent leur propriétés et pas de branchement dans le graphe:\n", | |
" \n", | |
" ```python\n", | |
" K = nx.disjoint_union(K1, K3)\n", | |
" ```\n", | |
" \n", | |
" * Une petite [recherche](https://stackoverflow.com/questions/32652149/combine-join-networkx-graphs/32697415) renvoie sur la bonne solution:\n", | |
" \n", | |
" ```python\n", | |
" K = nx.compose(K1,K3)\n", | |
" ```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "uJQlriUYzIqo" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"K = nx.compose(K1,K3)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "w8PLpm30zIqo", | |
"outputId": "a3f02df8-7f6a-46b5-92d6-b23ec6586444" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"plt.figure(figsize=(20,10))\n", | |
"plt.subplot(131,xticks=[],yticks=[])\n", | |
"draw(K1, with_labels=True, node_size=1500, linewidths=2, node_color ='#ffa700', edgecolors ='#1f78b4')\n", | |
"plt.subplot(132,xticks=[],yticks=[])\n", | |
"draw(K3, with_labels=True, node_size=1500, linewidths=2, node_color ='#ffa700', edgecolors ='#1f78b4')\n", | |
"plt.subplot(133,xticks=[],yticks=[])\n", | |
"plt.title(\"Composition des graphes $K_1$ et $K_3$ en un seul graphe\")\n", | |
"draw(K, with_labels=True, node_size=1500, linewidths=2, node_color ='#ffe800', edgecolors ='#1f78b4')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "kyZgttRXzIqp" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"**Recommençons avec la deuxième suite de Kaprekar:**\n", | |
" * Créer $K_2$ à partir de ``` E_suites_Kaprekar[1]```\n", | |
" * Ajouter itérativement $K_2$ à $K$ . Espérons que l'idée suivante fonctionne:\n", | |
" \n", | |
"```python\n", | |
"K = nx.compose(K,K2)\n", | |
"```" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "kPnvcbfRzIqp", | |
"outputId": "f0664bbf-b5b5-49c1-c190-3acf4f01ce58" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"nodes2 = E_suites_Kaprekar[1]\n", | |
"print(nodes2)\n", | |
"K2 = nx.DiGraph()\n", | |
"for n in nodes2:\n", | |
" K2.add_node(n, kapn= str(n))\n", | |
"arretes = list(pairwise(nodes2)) \n", | |
"K2.add_edges_from(arretes)" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": "[1235, 4086, 8172, 7443, 3996, 6264, 4176, 6174]\n" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "Kut7pilfzIqp" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"K = nx.compose(K,K2)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "4BDDhbmUzIqq" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"**On va avoir besoin d'améliorer la visualisation du graphe sans que les arrêtes se coupent.**\n", | |
" * [On trouve](https://stackoverflow.com/questions/54019644/how-to-display-a-network-with-better-separation-using-the-networkx-package/54021354#54021354)\n", | |
" * La [doc](https://networkx.github.io/documentation/networkx-1.10/reference/drawing.html) est succinte" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "TXY8tg-SzIqq", | |
"outputId": "7fa85811-28a7-4f46-f479-6ba65d533c66" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"fig = plt.figure(figsize=(7,7))\n", | |
"pos = nx.spectral_layout(K)\n", | |
"nx.draw(K, pos=pos, with_labels=True, node_size=1200, linewidths=2, node_color ='#ffc800', edgecolors ='#1f78b4') \n", | |
"#plt.show()" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"data": { | |
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tD3960Bh6+OYgdfp3lld48GqbRrNLDFTLWkREmoo50Jho7qwIvug+JsDthtirIS2rZvuBfDjnhGt6wMkiOHzMmGMQYoZwC9wzHtbvuHjfJpNx3tr9mwOb3W33As0qQtWyFhGRpmQJMwNQUBoOgP00fLwTSs8Zj/n/8RFs3QO33QA/uxXW/hu27YEzJfDEX4wnBO3bwlVWiI6A11Ybx9lPw5vrIaFyTkLmAdizD8rLofgsPPxnYxnktdFGe2Fpp8p4Lp6gNBfNKjFQLWsREWlKsREdAMi09wGgzAWPvQ6dx8BVt8HLK2DNH+CansYTg8W/hZ89CV3GwOmz8OqcmnOtfgY+2mEcGzMZgoPgxV8bbQUn4cePGfMPrp4EB4/Cuj8a+wBkVPYfF9nBa9d+uZrNckVf17KevnM+r2zJZtqgXiqCJCLSSsRHGtWJbA7jq33njvB/f7v4/nfcanzqk3QNfPZa/W0jkmuKJNXHZo+pE09z1myeGKiWtYiINLX4KONGvOtEP0pcIT6JocQVwu6T/QCIU2LQeM2hljXAsso4RESk5evRsQ2JURZOu9qxNn+IT2JYmz+U0652JEZZm33VQ2gmicH5tawXrYDkuyFkCNy9oGa/nRlwyyzoNBo63wZTHoGjx2vaX3wHrk6BDiMgYjw8+FLNGlKA3hMh7GZoN9z4jH6gpm1C5FbaBxWTlmcn99RZj1+ziIh4x9RBvQBYnjPW63273fDWgXEATKuMo7lrFonB+bWsI66Cx+6B6ePr7neqyChGcfB9OLQG2reBe35f0/7DIbD7TSjaDBn/MJad/Pm8MZ+1z0HxFuPzyZ9rtlfVsgbIyP/uFzSJiEjLMSEhAmtYMOn2a9h8LNmrfW8pSCbDEYM1LJjxCc27FHKV5pEYnFfLOmW4UU0q/LyhmDE3wpSR0KGt8QarX02G7ek17X2ijMISAG4gwATZeY2PI96aXSceERFp+UKDA5k53Jj8N2/PLBzOtl7p1+Fsy7w9swCYOTymxUxsbxaJwcVqWTdk6x6Ija677e2PjaGEq26FtGy470d123/2pDEMMfqBuoUsoGXVshYRkcabPjia/j2sFJSGs8A2wyt9LrDNoKA0nAE9rUwfHN3wAc1Es0gM6qtl3ZD0LFiwFJ6bVXf7HbcaQwn73oNf/Ai6dqpp+8fvaoYhhg+EW39tFKmo0pJqWYuISOMFBph4bnIi5iATq3JH8XpWikf7W5w1iVW5ozAHGf0GBpg82l9TahaJQX21rL9Ldi6MecioRT0kqf59+lYWq7j/2ZptgxMhLNQYhph3lzHssG1PTXtLqmUtIiKXJqZLO55NScRkgoWZ0z2WHCzOmsQzmfdgMsGzKYn06dyu4YOakWaRGDSmlnWVQ0dh1Cx4/B6YNua793W5YP93vB+pqj52lZZUy1pERC7dxP6RPDUxvjo5eHjX7Cabc+BwtuXhXbOrk4KnJsYzsX9kk5zbm5rFHfD8WtYul1HHurzC+FTVtM4vhBG/Ml5i8Yt6Er03PoBCYzSAr3Ng4VswsnIC6uFjsD0NnGXG+Z5bDscdxlOEKi2plrWIiFyeO67vyYtTkqqHFUZvfvWKViu43bD5WDKjN7/KqtxRhAQF8OKUJO64vmcTRu09zaIkcmxEB7ZmfUumvQ+3Rezg93+D3/21pn35R/Dkz41CRAfyYf4bxqdK8Rbjv9vT4dHFxju1O1uNFQz/e6/Rdvos/PJZ4wlCqNkobbnhxborH1pSLWsREbl8E/tHEhdpYc7KNFJzYfrO+SRY9zE1ej0TIrcRFnSuwXOUuEJYmz+UZTljsdn7AjCgp5XnJre84YPaTG632+evFFxvO8r9b+9mWNev+PsN830Wx11fzOfzwmRe+9kAxsS1jPWmIiJy+cor3CzdnsMrW7KxV048bx9UzIBOe4m3ZhNn3U+X0JOYA8pwVgRTWNqJDHsfbPYYdp/sx2mXkQBYw4KZOTyG6YOjW9REw/o0iycG59eybkym1tRaWi1rERG5coEBJmYMuZppg3qxLv0oy3YeJC0PPi9M5vPChocXEqOs3HlDL8bFd28xdQoa0iwSg6pa1ml5sDZ/CLf32uT1GFpaLWsREWk6ocGBTB4YxXVhRYy9/de89u46bPkOMvKLcJSU4SyvwBwYgCUsmLjIDsRHWoiLtLTK+0WzSAzAqGWdtjKd5TljvZ4YtMRa1iIi0vS2bt3KsOR4xsR199sh5WaxKgFUy1pERHzv888/Z+jQob4Ow6eaTWKgWtYiIuJLbrebrVu3cvPNN/s6FJ9qNokBqJa1iIj4zv79xvtyrr76ah9H4lvNZo4B1NSyHvvyVlbljuKaDoe5r+/qyz5f7pku2Ox9sdljyHRcjcPZHmdFEOYAFxbzaZwVwew8nkBwIC2ulrWIiDStqqcFJpN/3wuaVWIANbWsH1yxh4WZ0wEuKTkoLTezNm8Iy3PGkWa/plHHlJXDQ+/tYdqg3oxPaD1LTkREpPE0v8DQLAoc1eftLw/z6BobbjdM6rGJJ+KXYDGfuej+5e4Almb/D6/sm4K9zKhc2D6omIHhe4m3ZBNr3U/X0BPVRSoKSsPJtPfB5ohh14nWWaRCREQaLzo6mg8//JDrrrvO16H4VLNNDADWpOYzd3UaTpebrqEnWJj0MiO6fXXBftmno5izezapp4wCRQnWfUyL/pAJUdsIDXQ22I9R1nIIy3LGVZe17N/DKGsZ06XllrUUEZHGOXz4MMnJyRQUFPj9UEKzTgwAsguLK2tZ2wEuqGW9JncYc1MfwFlhplvocZ5OWlRv8tBYm48lM2/PLApKwzEHmXg2JbFFvh1LREQab/ny5axZs4aVK1f6OhSfa/aJAVy8lnW3sONkne4NwOSeG3k87o3vHG5oLIezLQtsM1iVO6r61Zkt9S1ZIiLSsBkzZhAfH88DDzzg61B8rkUkBlVKy8ora1kfIi3PXr19XuzSK1q9cDGvZ6WwMHM6JhO8OCVJTw5ERFqp733ve7z33nskJib6OhSfa1GJQZXswmLG/nkrznI3j8T+lXv7vu+xvqqSA3OQifWzhmrOgYhIK3Ps2DGuu+46vv32WwIDtSqtWRU4aozyCjdzVqbhLHczqccmjyYFYCyVnNRjE06Xm7mr0iivaHF5lIiIfIetW7dy0003KSmo1OISg6Xbc0jNtdMt9DhPxC/xSp9PxC+ha+gJdh+2s3R7jlf6FBER79i6davqF9TSohKD0rJyXtmSDcDTSYuaZKJhY1jMZ1iY9DIAr2zJprSs3Cv9ioiI533++ed+/36E2lpUYrA2/Qj2kjISrPuuaEni5Rje9SvirVnYS8pYl37Uq32LiIhnnDhxgkOHDtG/f39fh9JstKjEYPnOQwBMjV7v9b5NJphW2e+yyjhERKRl27ZtGzfeeCNBQc3uDQE+02ISg9xTZ0nLc9A+qJgJkdvqtGUdhtChMPXJmm1vfwy9JkLbYTBxLpx01LQdPAJjH4SOt0C3sfCrP4LLVdNeXg6PLYaI8dB+BPS/E+ynYULkVtoHFZOWZyf31FnPXrCIiHic5hdcqMUkBrY8484+MHwvYUHn6rTN/CN8/9qa3zMPwH1/gGVPQsF6aBMK9z9X037/c9ClIxxdB3uWweep8OqqmvYnl8AXNtixBIo+Nc4TaoawoHMM6LQXgIz8WpmGiIi0SJpfcKGWkxhU3ojjLdl1tr+7EaztYWRyzbZ/fAwTboKh/aFdG/jfe2H1Z3C6cq5izhG4fRSEhkC3cLhtEGRWLjY4VQQv/ROWzINe3Y0hhLg+xr4A8dbsOvGIiEjL5HA4+O9//0tycnLDO/uRFpMYZB4pAiDWur96W9EZeOIv8MKvz9v3ACTG1PzeJwrMwbAv1/h99k+MhOJsKeQXwoYdRnIAYNsPQYGwcrMxzHDNFHilVunsuMr+M/KLmvwaRUTEe7Zv3871119PSEiIr0NpVlrMbAtHifGWxK6hJ6q3Pf46/HwCRHWpu29xCVjOK1BoaVfzxGBoEvxlDXQYacwnuGssTKx8kpRXCI5iI4nIWQ1ZuTByFlzTA275AXQJPVkZT5lHrlNERLxD8wvq12KeGDjLjYqD5gDjhrxnH2z6P3jwpxfu2y7MeJpQW9EZaN8WKirgtgchZRic2QLHP4ZTp+G3i4z9wioTxyemQ1goJPSFn4yC9Tuo07+zvKKpL1FERLxI8wvq12KeGJgDjfdjOyuCAfhsNxw8Cj3/x2gvLoHyCvj6TrjtBkjLqjn2QD6ccxrf+k8WweFj8KspEGI2PveMh8deh2dnQULlEETt13HX/rmqf3Ngi8mpRETkPGfOnMFms/GDH/zA16E0Oy3m7mYJMwNQUBoOwL0TYf8qY1XBnmXwix/BuBvh4z/Bz26Ftf+GbXvgTIkxDyFlmPHE4CorREfAa6uNJYr20/Dm+pqEoE8UDEmCp/5uJBPf5MC7m2D8YKO9sLRTZTzB3v0fQEREmsyOHTtISkqiTZs2vg6l2WkxiUFsRAcAMu19AGMJYrfwmk+7MGNJYeeOEHs1LP4t/OxJ6DIGTp+FV+fUnGv1M/DRDug8BmImQ3AQvFhrAuM7C+DQMQi/FcY9bKxqGPl9oy2jsv+4yA5euW4REWl6ml9wcS1mKCE+0gKAzRFTb/v8GXV/v+NW41OfpGvgs9cu3ldkF/jopfrbbPaYOvGIiEjL8f777xMeHs6WLVt47LHHfB1Os9RyEoMo40a860Q/SlwhFxQ58oYSVwi7T/YDIE6JgYhIizN79mwKCwspLS1lzpw5pKenM2fOnIYP9CMtZiihR8c2JEZZOO1qx9r8IT6JYW3+UE672pEYZaVHR41LiYi0NDfeeCOlpaUAfPPNN2zdutXHETU/LSYxAJg6qBcAy3PGer1vtxveOjAOgGmVcYiISMtyyy23EBwcjMlkok+fPrz77ru+DqnZaVGJwYSECKxhwaTbr2HzMe+WsNxSkEyGIwZrWDDjE7p7tW8REWkaN954Iy6Xi3bt2rF582batm3r65CanRYzxwAgNDiQmcNjeGr9N8zbM4tPRtyPxXym4QOvkMPZlnl7ZgEwc3gMocGBHu9TREQuXe6ps9jyHNjyHWQeKcJR4sRZ7sYcaMISZua67u3pPHA0ryz4LREREb4Ot1kyud1ut6+DuBTlFW4mL/6C1Fw7k3ps4vmBF1k+0IQe3jWbVbmjGNDTyor7biQwwNTwQSIi4hWlZeWsTT/C8p2HSMtr/AvuEqMsTBvUm/EJ3fWFr5YWlxgAZBcWM/blrThdbubFLuW+vqs91tfirEk8k3kP5iATGx4YSp/O7Ro+SEREPK68ws3S7Tm8siUbe+X7a9oHFTMwfC/xlmxirfvpGnoCc0AZzopgCkrDybT3weaIYdeJfpx2Gf+eW8OCmTk8humDo/XFjxaaGACsSc3nwRV7cLvxWHJQlRSYTPDilCQm9o9s8j5EROTSZRcWM2dlGqm5dgASrPuYFv0hE6K2ERrobPD4ElcIa/OHsCxnHDZ7XwD697Dy3OREYrr49xfAFpsYALz95WEeXWPD7YZJPTbxRPySJplz4HC2ZYFtBqtyR2EywVMT47nj+p5NELGIiFypNan5zF2dhtPlplvocZ5OWsSIbl9d9vk2H0tm3p5ZFJSGYw4y8WxKol9/EWzRiQHU/QPpGnqChUkvX/YfiNttrD6o+gMJCQrgDykJfv0HIiLSnLz95WEeed8GwOSeG3k87g19IWxiLT4xgPofKU2NXs+EyG2NqpBoPFIayrKcsdWPlAb0NB4paU6BiEjzsCY1n9nv7QE8N4T8elYKCzOn+/UQcqtIDODik1AGdNpLvDWbOOt+uoSerJ6EUljaiQx7H2z2GHaf1CQUEZHmrPak80di/8q9fd/3WF9VyYE5yMT6WUP9bs5Bq0kMqpSWlbMu/SjLdh4iLc/e6OO6BpUy90c/YFy8lq2IiDQnWqbuXa0uMagt99RZMvKNQhcZ+UU4SspwlldgDgzAEhZMXGQH4iMtnMxOY9EffseOHTt8HbKIiJxnybYDPLX+G7qFHufjETO9Vthu9OZXKSgN59Gx1zJjyNUe77O5aNWJQWOVlZURERHBrl276NnTPyebiIg0R6Vl5Qxa+APRVscAACAASURBVCn2kjKWDpp/RasPLtXmY8lM3zkfa1gwO+eN9JunyS3qXQmeEhwczMSJE1mxYoWvQxERkVrWph/BXlJGgnWfV5MCgOFdvyLemoW9pIx16Ue92rcvKTGodPvtt/Pee+/5OgwREall+c5DAEyNXu/1vk0mmFbZ77LKOPyBEoNKw4cP58CBAxw8eNDXoYiICMY8sbQ8B+2DipkQuY12w6nzCbwRZv2xZv83PoCYyUbbbbPhyLc1bfbTcNcC6DLG+MxfUtNWeBJ++jhEjAfLSBg8A/6TYbRNiNxK+6Bi0vLs5J46650L9zElBpWCgoJISUnRcIKISDNhq3wh0sDwvYQFnaN4C9WfYx9CWAhMGWns+9kueGQxfPAsnPwEorvDT5+oOdeDL8HZUjj4Pnz5V1j2EfxtndFWXALfvxZ2/d049q5xMO5hKD4LYUHnGNBpLwAZ+Y1/QVNLpsSgFg0niIg0H7bKG3G8JfuCtlVboEtHGJJk/L5uO0wZAbFXgzkYHp8OW1Nhf57RvvbfMHcqtAmF3hHw8wmwdK3RdnUkPHQHdL8KAgPh3ongLIP/Hjba463ZdeJp7ZQY1HLzzTdz+PBh9u/f7+tQRET8XuaRIgBirRf+m/zmerhzjDEPoErtNXZVP2ccuHh77bba9uwDpwtioozf4yr7z8gvuuRraImUGNQSFBTEpEmTNJwgItIMOEqMtyR2DT1RZ/uho/B5qvHIv8ptg+C9TyE9C0pKYcFSI2k4W1rT/sxbcPoMZOfC0nU1bbUVnYFpv4Mnfw6WyoKHXUJPVsZT1uTX2BwpMTiPhhNERJoHZ7nxFd8cUPeGvGwD3JQI0RE120ZdD7+bAZPmQe8fQe/u0L4NRHUx2v/8kDEnoe8U+J+58NNbatqqlJTChN/AoFiYd1fN9qr+neUVTX6NzZESg/MMGTKEI0eOkJWV5etQRET8mjnQGCdwVgTX2f7WBrhr7IX7z5wMWSuhYANMGg6ucoirLFjYyQL/WADH1kPmO1Dhhuuvqzn2nBMm/haiOsPr/1/d81b1bw70j1umf1zlJQgMDGTy5MkaThAR8TFLmBmAgtLw6m1fpEP+t8ZEw9pKz0HGfmPuwOFjcO9C+PWPoWMHo31/HpxwQHk5bPgC/rIGHrvHaCtzweR5xhOFN5+AgPPujIWlnSrjqZugtFZKDOqh4QQREd+LjTDu6pn2PtXb3lwPKcOgfdu6+5Y64Y4njBoG10+HG+Lhf++tad+1F+J/Bu1HwLzX4B+/M1YwgJFsrNsOn/wHrLfU1EnYZrzhmYzK/uMiO3jqUpuVIF8H0BwNHjyYwsJC/vvf/9K3b19MJhMmk/+8WUtEpDmIj7QAYHPEVG87/zF/FWt7SP/Hxc91+yjjU5+bB4B758WPtdlj6sTT2umJQT1MJhM33HADd9xxBx07dmThwoW+DklExO/ERxk34l0n+lHiCvFJDCWuEHaf7AdAnJ8kBnpicJ4jR46QmJjImTNnKCkpISQkhPDw8IYPFBGRJtWjYxsSoyyk5cHa/CHc3muT12NYmz+U0652JEZZ6dGxjdf79wU9MThP165dGTJkSPXQQXBwMDExMQ0cJSIinjB1UC8AlufUswzBw9xueOuAUSxhWmUc/kCJwXkCAwNZsWIFt912G0FBQZSWlioxEBHxkQkJEVjDgkm3X8PmY8le7XtLQTIZjhisYcGMT+ju1b59yeR21y4SKVXKy8sZNWoUn332GQe/LSLzaDG2fAeZR4pwlDhxlrsxB5qwhJmJjehAfKSF+CiL3zxqEhHxliXbDvDU+m/oGnqCT0bcj8V8xuN9OpxtGb35VQpKw3l07LXMGHK1x/tsLpQYXERpWTkfpObx5w17yC9t/FSMxCgL0wb1ZnxCd0KDAz0YoYiIfyivcDN58Rek5tqZ1GMTzw98yeN9PrxrNqtyRzGgp5UV991IYID/rExTYnCe8go3S7fn8MqWbOyVdbHbBxUzMHwv8ZZsYq376Rp6AnNAGc6KYApKw8m098HmiGHXiX6cdhnFta1hwcwcHsP0wdF+9QclIuIJ2YXFjH15K06Xm3mxS7mv72qP9bU4axLPZN6DOcjEhgeG0qdzO4/11RwpMaglu7CYOSvTSM21A5Bg3ce06A+ZELWN0EBng8eXuEJYmz+EZTnjsNn7AtC/h5XnJicS08W//rBERJramtR8HlyxB7cbjyUHVUmByQQvTkliYv/IJu+juVNiUGlNaj5zV6fhdLnpFnqcp5MWMaLbV5d9vs3Hkpm3ZxYFpeGYg0w8m5Lol39gIiJN6e0vD/PoGhtuN0zqsYkn4pc0yZwDh7MtC2wzWJU7CpMJnpoYzx3X92yCiFseJQYYf2iPvG8DYHLPjTwe94b+0EREmqnaX+S6hp5gYdLLl/1Fzu02Vh9UfZELCQrgDykJfv1Fzu8TgzWp+cx+zyiI7alHU69npbAwc7pfP5oSEWlK9Q39To1ez4TIbYQFnWvweGPodyjLcsZWD/0O6GkM/frbnILz+XViUHsyyyOxf+Xevu97rK+q5MAcZGL9rKGacyAicoUuNll8QKe9xFuzibPup0voyerJ4oWlnciw98Fmj2H3SU0Wvxi/TQy0/EVEpHUoLStnXfpR3vziALYjpxt9XGKUlTtv6MW4eC0vr81v35WwdHsOqbl2uoUe54n4JV7p84n4Jfz72/7sPmz0708FM0REPCU0OJDJA6No920GC/71Go+/uARbvoOM/CIcJWU4yyswBwZgCQsmLtIoSBcXqYJ0F+OXTwxKy8oZtPBT7CVlLB00/4pWH1yqzceSmb5zPtawYHbOG6ksVUSkiTz88MN07NiRxx57zNehtGh++a6EtelHsJeUkWDd59WkAGB416+It2ZhLyljXfpRr/YtItKaffLJJ4wePdrXYbR4fpkYLN95CICp0eu93rfJBNMq+11WGYeIiFyZI0eOkJ+fz8CBA30dSovnd4lB7qmzpOU5aB9UzITIbQAcPAJjH4SOt0C3sfCrP4LLZex/70L43u0QcAP8fV3dc/3iD9BueM0nZAi0H2G0nXPCz5+CXhONbUnTYMMXRtuEyK20DyomLc9O7qmzXrpyEZHWa+PGjYwcOZLAQA3PXim/SwxseQ4ABobvrV7rev9z0KUjHF0He5bB56nw6ipj/8S+8OocGPC9C8+1+LdQvKXm89NbYEplYuAqhx5d4PNXwbEJfn8f3P6YkYSEBZ1jQKe9AGTkOzx+zSIird3GjRs1jNBE/C8xqLwRx1uyq7flHIHbR0FoCHQLh9sGQWaO0TZzMoz8PoSav/u8Z0pg1Wdw11jj97ZhMH8G9I6AgAAYfxNEd4ddRj5AvDW7TjwiInJ5Kioq2LhxI7fccouvQ2kV/C4xyDxSBECsdX/1ttk/gXc3wtlSyC+EDTuM5OBSrNoCna0wtH/97QUnYF8uxFauUIyr7D8jv+iSr0FERGqkp6djsVjo3bu3r0NpFfwuMXCUGG9J7Bp6onrb0CTIPAAdRkLUDyG5H0y8+dLO++Z6uHOMMbnwfGUu+NmTxtOEfr2NbV1CT1bGU3Y5lyEiIpW0GqFp+V1i4Cw3yjaYA4wbckUF3PYgpAyDM1vg+Mdw6jT8dlHjz3n4GHy2G+4ce2FbRQVMmw/mYFj0m5rtVf07yysu80pERAQ0v6Cp+V1iYA40vtI7K4IBOFlk3Nh/NQVCzBBugXvGw/odjT/nsg0wOAGuPu/dSG63sTKh4CSsWgjBtepMVvVvDvS7/wtERJrM2bNn2blzJ8OGDfN1KK2G392VLGHGLMKC0nAArrJCdAS8ttpYomg/bQwLJMQY+zvLoPSccZMvcxk/V5z3Jf+tDXD3uAv7+uWz8M1BWPtHCAut21ZY2qkynuCmvDwREb+ybds2kpKS6NChg69DaTX8LjGIjTD+eDLtfaq3rX4GPtoBncdAzGTjm/2LvzbaRj8AYTfDFza49xnj562pNefbYYO8wpplilUOHYXX34c9WdBtXE2tg398ZLRnVPYfF6k/ZhGRy6X5BU3P716iFB9pAcDmiKnelnQNfPZa/ftfbHuVG+LhzGcXbu/VHdw7L36czR5TJx4REbl0GzduZMkS77wIz1/43ROD+CjjRrzrRD9KXCE+iaHEFcLuk/0AiFNiICJyWY4ePUpeXh7Jycm+DqVV8bvEoEfHNiRGWTjtasfa/CE+iWFt/lBOu9qRGGXVaz9FRC7Txo0bGTFihMogNzG/SwwApg7qBcDynHrWF3qY2w1vHTBmKk6rjENERC6d5hd4hl8mBhMSIrCGBZNuv4bNx7z7CGpLQTIZjhisYcGMT+ju1b5FRFqLiooKNm3apDLIHuCXiUFocCAzhxuT/+btmYXD2dYr/TqcbZm3ZxYAM4fHEBqsx18iIpfDZrPRvn17oqOjfR1Kq+OXiQHA9MHR9O9hpaA0nAW2GV7pc4FtBgWl4QzoaWX6YP0xi4hcLg0jeI7fJgaBASaem5yIOcjEqtxRvJ6V4tH+FmdNYlXuKMxBRr+BAfW8VEFERBpFiYHn+G1iABDTpR3PpiRiMsHCzOkeSw4WZ03imcx7MJng2ZRE+nRu55F+RET8QUlJCTt37mT48OG+DqVV8uvEAGBi/0iemhhfnRw8vGt2k805cDjb8vCu2dVJwVMT45nYP7LhA0VE5KJUBtmz/D4xALjj+p68OCWpelhh9OZXr2i1gtsNm48lM3rzq6zKHUVIUAAvTknijut7NmHUIiL+6ZNPPtFqBA8yud1ut6+DaC6yC4uZszKN1Fw7AAnWfUyNXs+EyG2EBZ1r8PgSVwhr84eyLGcsNntfAAb0tPLcZA0fiIg0lYSEBP7yl78waNAgX4fSKikxOE95hZul23N4ZUs29pIyANoHFTOg017irdnEWffTJfQk5oAynBXBFJZ2IsPeB5s9ht0n+3HaZSQA1rBgZg6PYfrgaE00FBFpIkePHiU2NpbCwkKCgvzudT9eocTgIkrLylmXfpRlOw+Rlmdv9HHBRfn8NDmSR6bepjoFIiJNbNmyZXzwwQesXLnS16G0Wkq3LiI0OJDJA6OYPDCK3FNnych3YMt3kJFfhKOkDGd5BebAACxhwcRFdiA+0kJcpIUP//kWmze8Seg943x9CSIirY7mF3ienhg0sVOnTtG7d29ycnLo1KmTr8MREWk13G433bt3Z8eOHap46EFaldDEOnbsyJgxY3j33Xd9HYqISKuiMsjeocTAA+655x7+9re/+ToMEZFWRdUOvUOJgQeMGjWKI0eOkJGR4etQRERaDc0v8A7NMfCQefPm4XK5eO6553wdiohIi1dSUkKXLl3Iy8vDYrH4OpxWTU8MPOSuu+5i+fLluFwuX4ciItLi/fvf/yYxMVFJgRcoMfCQfv360bt3bz7++GNfhyIi0uJpfoH3KDHwoLvvvluTEEVEmoDmF3iP5hh4kN1up3fv3uzfv5/w8HBfhyMi0iIdO3aMa6+9lm+//VZlkL1ATww8yGq1MnbsWN555x1fhyIi0mJt2rSJESNGKCnwEiUGHnb33Xfz97//3ddhiIi0WJpf4F0aSvCw8vJyevXqxYYNG4iPj/d1OCIiLUpVGeQvvviCq6++2tfh+AU9MfCwwMBA7rzzTt58801fhyIi0uLYbDbatWunpMCLlBh4wd13383y5cspKyvzdSgiIi3Kxo0bNYzgZUoMvOCaa66hT58+qmkgInKJNL/A+5QYeIkmIYqIXJqSkhK++OILhg8f7utQ/IoSAy+5/fbb2bRpE8ePH/d1KCIiLcK///1vEhISVAbZy5QYeInFYmHcuHGqaSAi0kiaX+AbSgy8SMMJIiKNp/kFvqHEwItGjBjBt99+S3p6uq9DERFp1o4dO8ahQ4f4/ve/7+tQ/I7qS3pR7ZoGzz//vK/DERFpdr788ku2b9/OuXPnGDZsmMog+4AqH3pZVlYWQ4YMITc3l+DgYF+HIyLSrPzpT3/iN7/5DQDBwcGMGzeOP//5z3Tv3t3HkfkPDSV4Wd++fYmJieGjjz7ydSgiIs1OcnIybdq0weVyUVJSwieffIK+v3qXEgMfuPvuu/nb3/7m6zBERJqdpKQkzpw5A0CbNm3YvHkzERERPo7Kv2gowQeKioro2bMnWVlZdO7c2dfhiIg0Kx07dqSoqIj169dz6623+jocv6NZHT7QoUMHJkyYwDvvvMMDDzzg63BERLwm99RZbHkObPkOMo8U4Shx4ix3Yw40YQkzExvRgbgx0/h+ny5KCnxETwx85NNPP2XOnDns3r3b16GIiHhUaVk5a9OPsHznIdLyHI0+LjHKwrRBvRmf0J3Q4EAPRii1KTHwkYqKCqKjo/nXv/5FYmKir8MREWly5RVulm7P4ZUt2dhLjLfLtg8qZmD4XuIt2cRa99M19ATmgDKcFcEUlIaTae+DzRHDrhP9OO1qB4A1LJiZw2OYPjiawACTLy/JLygx8KHHH3+cM2fO8MILL1BSUkJYWJivQxIRaRLZhcXMWZlGaq4dgATrPqZFf8iEqG2EBjobPL7EFcLa/CEsyxmHzd4XgP49rDw3OZGYLu08Gru/U2LgQ7t27WLYsGFERUWRn59PUVGRr0MSEblia1Lzmbs6DafLTbfQ4zydtIgR3b667PNtPpbMvD2zKCgNxxxk4tmURCb2j2zCiKU2JQY+smDBAp5++mnKysqoqKggPDxcb14UkRbv7S8P88j7NgAm99zI43FvYDGfueLzOpxtWWCbwarcUZhM8NTEeO64vucVn1cupDoGPnLjjTcSGBhIRUUFAF27dvVxRCIiV2ZNan51UjAvdil/HPCnJkkKACzmMzw/8CXmxS7F7YZH19hYk5rfJOeWupQY+MioUaP49NNPad++PQBdunTxcUQiIpcvu7CYuavTAHgk9q/c13e1R/q5r+/q6uRg7uo0sguLPdKPP1MdAx8aNGgQO3bsYMCAAdVPDhqzxjc+0kJ8lIUeHdv4+ApERIzVB3NWGnMKJvXYxL193/dof/f1Xc2+op6syh3F3FVprLjvRq1WaEKaY9AM7NqTztZDZ/gsr1xrfEWkxVmy7QBPrf+GbqHH+XjEzCYbPvguDmdbRm9+lYLScB4dey0zhlzt8T79hRIDH9IaXxFp6UrLyhm08FPsJWUsHTT/ilYfXKrNx5KZvnM+1rBgds4bqS9ITURDCT5yuWt8b4vYAVy4xvep9d+w3nZUa3xFxKvWph/BXlJGgnWfV5MCgOFdvyLemoXN3pd16UeZPDDKq/23Vpp86ANrUvMZ+/JWUnPtdAs9ztJB8/nXsIeY0uvTRhX+AAgLOsftvTaxdtiDLB00n66hJ0jNtTP25a2aqSsiXrN85yEApkav93rfJhNMq+x3WWUccuWUGHjZ218eZvZ7e3C63EzuuZGPR8y84ix7RLev+GTE/UzqsQmny82DK/bw9peHmyhiEZH65Z46S1qeg/ZBxUyI3Ea74dT5BN4Is/5o7Ossg8nzoPdEMA2Cz3bVPdeY2XWPNd8E8T+raR9+P3S+DTqMgMSp8MFWY/uEyK20DyomLc9O7qmz3rnwVk5DCV50/hrfplzOU7XG95oOh1mYOZ1H19hoExyo6mAi4jG2ysnSA8P3EhZ0juItNW3FZ6HbOJgysmbbTYkw+8cw5dELz7Xhpbq/D/sljEiu+f1PD8J10RAUBP/JgFEPwL73oPtV5xjQaS+fFyaTke/Qaq0moCcGXqI1viLS2tjyjcQg3pJ9QduqLdClIwxJMn43B8Psn8BNSRDYwJ3n4BHYlgZ3jqnZltDXSArAGEIoc0FugfF7vDW7TjxyZZQYeIEv1vhWDSvMXZVGeYUWnohI08s8YrzfJda6/4K2N9cbN3bTZSyUemsDDEmE3hF1t49/GEKHwg9+DsMGQPK1xva4yv4z8vW+maagxMALlm7PqZ5o+ET8Eq/0+UT8ErqGnmD3YTtLt+d4pU8R8S+OEmOydNfQE3W2HzoKn6fCXeMu77xvbYC76zl23fNwejOsfwFGXw8BlXewLqEnK+Mpu7wOpQ4lBh5WWlbOK1uMx1xPJy3ySuEPMOYcLEx6GYBXtmRTWlbulX5FxH84y42nkeaAujfkZRuM+QTREfUd9d3+vQeOnYDJI+pvDw6CMTfCJ1/CvyonIFb17yyvuPQO5QJKDDysOazxtZeUsS79qFf7FpHWzxxojBM4K4LrbH9rA9w19vLO+eZ6SBkG7RqYQ+hywf7KldlV/ZsbmrwgjaL/FT1Ma3xFpLWyhJkBKCgNr972RTrkfwtT6vnGf84JpeeMn50u4+fatXdLSuG9Ty8cRth7EDZ8YbSXuWD5Bti6B27ub7QXlnaqjKdugiKXR4mBB9Ve4zv97k0XXd9b24K/Gmt8N315YdtJh7GO96Z7a7Z9nQPJd0PHW4zPqF8Z26poja+IeEpsRAcAMu19qrdVfeNv3/bC/b93O4TdbCQOt/7a+PlQrYeZa7aCtT0MH1j3OLcb5r8BXcYa/wb+6T345+9hQD+jPaOy/7jIDk15eX5LdQw8qPYaX1sD63sB9ufBis3Q/ar6z/fbV+Da3lBRaxgt4ipY+TT06m5sf2Ul/OQxSP+H0R4WpDW+IuIZ8ZEWAGyOmOptr/9/F9//4JrvPt9PRxuf810bDf9ZevHjbPaYOvHIldETAw+62Brf89f3Vpn5R/jDTDDXk659kQ4ZB+Ce8XW3W9sbS3pMJiOrDgyE7Ly6+2iNr4h4QnyUcSPedaIfJa4Qn8RQ4gph90nj0UGcEoMmocTAgy62xre+9b0rPoWQYBh744XnKS+HX/0RFv0GLrYk2DoKQm+GWc/DI3fVbdMaXxHxhB4d25AYZeG0qx1r84f4JIa1+UM57WpHYpRVT0SbiBIDD6pvjW9963tPn4FHXjNKftbnz+/BD2JhYL+L92XfBI5NsOhh6P+9um1a4ysinjJ1UC8Aludc5jKEK+B2w1sHjH9Mp1XGIVdOiYEH1bfGt771vfPfgGljLqzyBXDkWyMxeOoXDffXNgx+kQJ3/g4KT9Zs1xpfEfGUCQkRWMOCSbdfw+ZjyQ0f0IS2FCST4YjBGhbM+ITuXu27NVNi4EH1rfGtb33vp18ZN/9uY41PbiHc/hj84S348ms4egKu+6nR9usXjW3dxhpDDOerqICz54xZv1W0xldEPCU0OJCZw43Jf/P2zMLhrGc5ggc4nG2Zt2cWADOHxxAaHOiVfv2BViV40PlrfC+2vvfTRcba3Crfvwde+DWMucGo8nWw1qsV/rkJ3v4YPnjOmGi48T9wlRUSYuBMKTy2GDq2N1YvVNEaXxHxpOmDo1lvO0pqLiywzeD5gS81fNAVWmCbQUFpOAN6Wpk+ONrj/fkTfYX0oPPX+F5sfW+4BbqF13wCA4ybe7s2EGKu22ZpayQL3SrridiL4adPgGUU9JlkVAL76EUIrTVBWGt8RcSTAgNMPDc5EXOQiVW5o3g9K8Wj/S3OmsSq3FGYg4x+AwMu401NclF6YuBB56/x/a71vbV911rfu8cbnypTRl5YD+F8WuMrIp4W06Udz6Yk8uCKPSzMnA7gkdfLL86axDOZ92AywbMpifTp3K7J+/B3emLgQVrjKyL+ZGL/SJ6aGI/JBAszp/PwrtlNNufA4WzLw7tmVycFT02MZ2L/yCY5t9SlxMCDtMZXRPzNHdf35MUpSdXDCqM3v3pFqxXcbth8LJnRm19lVe4oQoICeHFKEndc37MJo5baTG537VdYSFNbsSuXOSvTSbDu41/DHvJq3243TPjsJTIcMfxxciKTB0Z5tX8R8V/ZhcXMWZlGaq4dgATrPqZGr2dC5DbCgs41eHyJK4S1+UNZljMWm70vAAN6WnlusoYPPE2JgYeVlpUzaOGn2EvKWDpovldfvbz5WDLTd87HGhbMznkjtZxHRLyqvMLN0u05vLIlG3tlgbX2QcUM6LSXeGs2cdb9dAk9iTmgDGdFMIWlnciw98Fmj2H3yX6cdhkJgDUsmJnDY5g+OFoTDb1AiYEXLNl2gKfWf0PX0BN8MuJ+LOYzHu/T4WzL6M2vUlAazqNjr2XGkKs93qeISH1Ky8p545NUnn1/BwGdG/9vUWKUlTtv6MW4+O76YuNFWpXgBVrjKyL+LDQ4kGLbJsabDzNv7s/JyHdgy3eQkV+Eo6QMZ3kF5sAALGHBxEV2ID7SQlykRfOifERPDLwku7CYsS9vxelyMy92qUeW8VSpWs5jDjKx4YGhGo8TEZ/7/ve/zzPPPMPIkQ2srxaf06oEL6la41u1jMdTBUC0xldEmpvDhw+Tk5PD0KFDfR2KNIISAy/SGl8R8UerV6/mhz/8IcHBKsveEigx8DKt8RURf7Nq1SomTZrk6zCkkTTHwEe0xldE/MGxY8fo168fBQUFhIT4pgKsXBolBj6kNb4i0totXryYrVu38vbbb/s6FGkkJQbNQGlZOevSj7Js5yHS8uyNPq53eyj89wp2rXmDMLNWnopI83PLLbfwi1/8QkMJLYgSg2Ym99TZRq/xjbSEEhcXx6JFixgxYoSvQxcRqePEiRNER0dz9OhR2rZtmonW4nlKDFq4JUuW8MEHH7Bu3TpfhyIiUsff//53/vWvf7F6tefqtkjT06qEFm7q1Kn83//9H3v37vV1KCIidWg1QsukJwatwJNPPklBQQGLFy/2dSgiIgAUFRURFRVFbm4uFovF1+HIJdATg1bg/vvv55///CfHjx/3dSgiIgB8+OGH3HTTTUoKWiAlBq1A165dSUlJ0RMDEWk2Vq9erWGEFkpDCa1ERkYGt9xyCwcPHlQRERHxqbNnz9K9e3f279/PVVdd5etw5BLpiUErERcXR0JCAu+8846vQxERP/fxxx+TnJyspKCFUmLQijz00EO88MIL6CGQiPjSqlWrSEnxzBtkxfOUGLQio0ePpry8nE8/i6h1KgAAIABJREFU/dTXoYiIn3I6nXz44Yf86Ec/8nUocpmUGLQiJpOJhx56iOeff97XoYiIn/r000+57rrriIiI8HUocpmUGLQyP/vZz0hNTeXrr7/2dSgi4oc0jNDyaVVCK7RgwQLy8vL4y1/+4utQRMSPuFwuunfvzpdffkl0dLSvw5HLpCcGrdAvf/lLVqxYwbfffuvrUETEj2zbto2ePXsqKWjhlBi0Qp07d2bKlCm89tprvg5FRPyI3o3QOmgooZX6+uuvGTFiBAcPHiQ0NNTX4YhIK1dRUUFUVBSbN2+mX79+vg5HroCeGLRS1113HQMGDODtt9/2dSgi4gf+85//0LFjRyUFrYASg1ZMBY9ExFs0jNB6KDFoxUaOHElAQAAbN270dSgi0oq53W4tU2xFlBi0YlUFj1544QVfhyIirdiePXsICAggMTHR16FIE1Bi0Mr99Kc/JS0tjYyMDF+HIiKtVNUwgslk8nUo0gSUGLRyISEhzJw5k5deesnXoYhIK6X5Ba2Lliv6gePHj9O3b1/27t1L165dfR2OiLQiX3/9NaNHj+bw4cMEBOi7Zmug/xf9wFVXXcWPf/xjFTwSkSa3evVqUlJSlBS0Inpi4Cf27t3LzTffzMGDBwkL+//bu/eoqMrugePf4TKAN0YpQbkogWQBIt7SvKRmZSpmilmppbyZ/TRTKynykmlqaaW9RmoWZZhZKpqUlpqmplmvCjhQJqgp4AUFB0XA4TK/Pw5XxUAcGJjZn7VmyZwz5zx71kJmzznPs7eDqcMRQpiJwMBAlixZwgMPPGDqUISRSIpnIdq2bUvnzp356quvTB2KEMJMnDhxgtTUVHr06GHqUIQRSWJgQaTgkRDCmKKiohgyZAjW1tamDkUYkSQGFqRPnz6o1Wp++uknU4cihDADshrBPMkcAwsTGRlJZGQk27ZtM3UoQoh6LCUlhXbt2nHu3DnUarWpwxFGJFcMLMyIESNISEhAq9WaOhQhRD22ceNGBg0aJEmBGZLEwMKo1WpefPFFFi9ebOpQhBD1WFRUlNxGMFNyK8ECZWRk4O3tzZ9//omLi4upwxFC1DMXLlzA29ubc+fOyfJnMyRXDCxQs2bNeOqpp/j4449NHYoQoh7atGkTjzzyiCQFZkoSAws1efJkli9fTk5OjqlDEULUM3IbwbxJYmChfHx86NatG5GRkej1ek6cOGHqkIQQ9YBOp2Pfvn0MGDDA1KGIGiKJgQV77rnnmD59Os7OzvTu3dvU4Qgh6oHo6Gj69OlD48aNTR2KqCGSGFiod955hxEjRpCeno5Op5MGKEKIKtmwYQNDhw41dRiiBsmngYXy8fFBpVKVlEdu0KCBiSMSQtR1WVlZ7Ny5k8GDB5s6FFGDJDGwUEOHDmXPnj04OTkBoFKpTByREKKu27p1K926daNp06amDkXUIBtTByBMp2PHjsTHxxMYGEh2dnbJ9uRL2WhTMtGmZpJw5jKZOXr0BQbU1iocHdT4tmyCv6sj/m6OuDeVKw1CWArpjWAZpMCRICcnh5OnU0jIsmf1gVPEpWRW+dgAN0dGd23NoHYtsLeVDmtCmKvc3FxcXFz4+++/cXZ2NnU4ogZJYmDhCgoNROw7SfiuJHQ5eQA0tsmio9NR/B2T8NUcx9k+HbVVHvpCW87nOpGg80Kb6c2h9LZcyW8EgMbBlol9vAnp7om1ldyWEMLcREdH895777F7925ThyJqmCQGFiwpLYtp6+OISdYB0E5zjNGePxDkthd7a32lx+fk2xGd2pPIkwPR6toAEOiuYVFwAN7NG9Vo7EKI2jVmzBg6dOjASy+9ZOpQRA2TxMBCbYpJJTQqDn2+ARf7i8xv/xF9XQ5W+3w7z3UiLHYS53OdUNuoWDg0gCGBrkaMWAhhKnl5ebi4uBAbG4u7u7upwxE1TFYlWKA1f5xmyrex6PMNBHts56e+E28rKQDo63KQbX0nMMx9B/p8A1PXxbLmj9NGilgIYUq//PIL3t7ekhRYCEkMLMymmFTe2KgFIMw3gvc6fIij+qpRzu2ovsr7HZcQ5huBwQDTN2nZFJNqlHMLIUxHViNYFlmuaEGS0rIIjYoD4A3fz3i+zcYaGWd8mygAFiSEEBoVh5+ro8w5EKKe0ev1vP322/Tq1YuNGzeyb98+U4ckaonMMbAQBYUGgpfvJyZZxzD3HbzfcUmNj/nKoSlsSO5HBw8N68bfL6sVhKhHsrKyaNy4MQ4ODly7do2nnnqKadOmERAQYOrQRA2TWwkWImLfSWKSdbjYX2SW/8paGXOW/0qc7dM5fFpHxL6TtTKmEMI4GjVqRNOmTcnJyaGwsJCvv/6aH3/80dRhiVogiYEFyM0rIHxXEgDz239ktDkFlXFUX2VB+6UAhO9KIjevoFbGFUIYh6enJwD29va88MILhIaGmjgiURskMbAA0UfOoMvJo53m2G2vPrhVfZwP4q9JRJeTx/dHztbq2EKI29OyZUsARo8ezUcffSQ9VSyETD60AKsPnAJglOcWRr0JPx+Eqzng4gSho+C5x5TXffodvBMJ59KhRwBETIeWdyr7dFdg8mLY+pvyfMJQmD2u/DgffgNL1kLaJfBwhu8WgY8HjPbcQmjMZCIPnCK4o1stvWshxM1UtR/K3R3uJzs7mxUrVkhSYEFk8qGZS76UTc+Fu2hsk8Uf/Z/lxOlreLuBnRqO/gO9J8APH8CVq/DEDNgVDm3cYfIH8Oc/sHuZcp6xcyErB1bNgrQMeHASzBgLYwcp+z/9Dv77Lax9G+5pDSdSoWljaOaoVEjs8uMqruQ3Ym9oH2m8JIQJ5OYVEH3kjPRDEZWSKwZmTlv0B6Cj01EcbK7he1fpPpVKeRxPgT/+hOF9Kdk/MwRcg5R9Xm4Q/StsXQwN7KF1S/hPEEREK4lBYSG89Rl8MRPuVW5J4lXmwoCDzTU6NDvK7rROxKdmSmIgRC263X4ocSkQtz6Ot3/4U/qhWAhJDMycNlVJDPwdk0q2TVgIX/wAOdcg0AcG3K8kBmWvHRX/HH+i9EP++v3xJ5SfU9KUR/wJGDMXbKzhmQHw5n/AqmgWi78mid1pndCmZvKoX4uaertCiDKq2w+lf0vlnuH1/VDmbfmLLdqz0g/FzMnkQzOXcOYyAL6a4yXbPg6FKzth73IY2lu5rdC/K3z7MxxJhJxcmBOhXE3IzlWO6d8V3vlSueWQlAwR35fuS0lT/t32O2i/Um5HfL0NPttcGodf0fjxqZdr+i0LIVCqnA5YuqdkmXJE19ls7v0yw1v9XKUmaaBc7Xui1Q6ie08loutsnO3TiUnWMWDpHqlqasYkMTBzmTnKHwBn+/Ry262toUd7SLkAyzZAvy7w1jgYFgatH4fWLaBxA3Brrrz+vy+Dgx20GQ6PhcJTD5Xuc7BT/g0dBZrGyq2G8UNgy2+l4zW3zyiKJ69G368QQvqhiNsjiYGZ0xco1//VVhV/IOfnw/GixH9iMCSuh/NbYVgfyC8Av6I5B80c4as5cG4LJHwNhQbocq+y7+5WoLZVrjAUu34Cc/H4+oJCo703IcSNpB+KuF2SGJg5tbXyCa0vtCUtA9Zuh6xsKCiAnw7A19vhwU6Qew3ijytzB06fg+cXwOQR0LSJcp7jKZCeqRy3dT98sklZlQDKhMQR/WDhauVWQ0oafPIdDOpeGoe+0LYoHvmVE6KmXN8PpbhvibGNbxNVkhyERsWRlJZVI+MI05C/0mbO0UENwPlcJ1QqWBYFboOh6UPw6lJYMgUG94JcPTw9Cxr1gS4h0M0f5j5fep5DR8F/JDTuC2HL4Ku3KLfC4aNXoZEDtAyCbs/B0w9DSFDp/rTcZkXx2NbG2xbC4hQUGpi2Pg59voFh7jtqrElasfFtokpuK4RuiKOgUFa+mwtZlWDmfFs2YU/iBRJ0XvRv+VtJXYLraRrDka9ufp4n+imPm2nSUKlhcDPxOi8A/FybVCFqIcStMlU/lF8vBHL4tDL+uJ53VX6QqPPkioGZ83d1BECb6W3SOLQ6ZfzieIQQxiP9UIQxSWJg5vzdlA/iQ+ltycm3M0kMOfl2HM5oC4CfJAZCGJ30QxHGJImBmXNv2oAAN0eu5DciOrWnSWKITu3FlfxGBLhppOqhEDWgbD+U2qZSKf1QACKL4hD1myQGFmBU11YArD45oNbHNhjgyxMDARhdFIcQwniSL2UTl5JJY5ssglz3lmxfux3uGQENe4PXMNgbC3+ehE5jlMnHTR+Cfi8q24rNXgm23ZVJyMWPExWsRvxyC6i6Kj1SAIJc99DYJou4FB3Jl7Jr9P2KmieJgQUIatcSjYMtR3Q+7DzXqVbH3nW+E/GZ3mgcbBnUTkohC2Fs1/dDAdj+O7wWDp/PVKqc7lkGd7WElnfA+vmQsQ0u/giDe8KTM8qfb0Q/yNpV+rjLtfz+S5dh/qryq5KK+6EAxKdWvUGTqJskMbAA9rbWTOyjTP4Li51Epr5hrYybqW9IWOwkACb28ZbObELUgIr6obz5KcwKga5+Sr8S1+bKo7gyqUqlXM2ztoaklFsbL2wZvDQc7rhuupC/JqlcPKL+ksTAQoR09yTQXcP5XCfmaMfVyphztOM4n+tEBw8NId09a2VMISzN9f1QCgrg4F9wQQfeweAWBC++p/RAKabpB/YPwKT34Y1ny58v+ldo9jD4PqWUSy/rjwTl3C8MvTEO6YdiPiQxsBDWVioWBQegtlGxIbkfKxIr+J9tRMsTh7EhuR9qG2VcadMqRM24vh/K+QzIy4f1RY3SYiMh5m94+/PSY3Q7IHMHfPQKBN5duv2JfvDXWriwFVaGKc3Uvt6m7CsogAmLlGJmVhV8ckg/FPMhiYEF8W7eiIVDA1CpYEFCSI0lB8sTh/FOwlhUKlg4NACvO6U9qxA15fp+KMVNzSYNhxZ3wB0aePmp8k3NABo6KN/8n3kL0pTPdO71hJZ3KrcY7m+nlEVfv1PZ9/EGaOet3J6oiPRDMR9S+dDCDAl0JTuvgOmbtCxICOHYZQ9m+a80SkGUTH1D5mjHsSG5HyoVzBviz5BA18oPFEJUW9l+KKD0N3Fr/u9NzYoVFkL2NUi9AM2b3bhfhTIXAeDng7A7BrbsV55nXIaYYxCbqFxFkH4o5kMSAwv0dBcPGthaExoVx4bkfvx6IZAF7ZdWuzCKwaCsPgiLncT5XCfsbKx4d2g7SQqEqAVl+6EUGzsIlq6D/l3B1gYWr1Wamm3/XbmC0M4brubCjOXQtDHc01o57rs90Ku9Mknxf3/Cf9fB/BeUfV/MVHqqFBv6OgT3gf8MVp5LPxTzIYmBhRoS6IqfqyPT1scRkwwhB2bTTnOMUZ5bCHLdW7Ls6d/k5NsRndqLyJMD0OraANDBQ8OiYLl9IERtub4fCsDMELioA58nwF4NTzwI08coEwsnfaB0QHWwU1qn/7gY7ItuP6zdDiFvw7U85arDa6PgWaUMCZrG5cdV2yg9UhyL/qtLPxTzoTIYDNISy4IVFBqI2HeS8F1J6IomDTW2yaJDs6P4a5Lw0xynuX0Gaqs8pXVzbjPidV5odd4czmjLlXzlr0JjtRUX964h5uv3cXFubsq3JIRF2aI9y4Q1h+ntfJAvus02WRzP7p/N7rROLBvZgUf9pGZJfSaJgQCUJizfHzlL5IFTxKXoqnxcgJuGZ7q1YqB/C16f9gq5ubksX768BiMVQpSVfCmbngt30dgmiz/6P1ulq33GlpNvR5cfV3ElvxF7Q/tI6fN6ThIDcYPkS9nEp2aiTc0kPvUymTl56AsKUVtb4ehgi59rE/xdHfFzdSz3B+DSpUu0bduWbdu2ERAQYMJ3IIRleSz8V+JSMlkYuIQnWu2o9fG/PfUQoTGTCXDT8N3E7rU+vjAuSQyEUS1btoxvv/2WnTt3orrZVGghhFGtO5TMtPVHaKc5xubeL9fq2AYDBP2yhPhMb94LDiC4o1utji+MT9aVCKMaN24c6enpREVFmToUISyG9EMRxiSJgTAqGxsblixZwquvvkpubm7lBwghbpv0QxHGJImBMLq+ffsSGBjIBx98YOpQhLAY0g9FGIvMMRA14sSJE3Tp0oUjR47QsmVLU4cjhEVISstiwNI96PMNhPlGML5Nzd3SKy59rrZRsfWlXlK7xIzIFQNRI+666y7GjRtHWFiYqUMRwmJIPxRhDHLFQNSYK1eucPfdd7Nx40buu+8+U4cjhMVY88dppm/SYjDAMPcdNdoP5ekuHkaIWNQlkhiIGvXFF1+wYsUK9u/fL8sXhahFm2JSCY2KQ59vwNk+XfqhiCqTxEDUqMLCQu677z6mTJnCyJEjTR2OEBYlKS2rqB+KUs1U+qGIqpDEQNS4/fv3M2LECI4ePUrDhrWzjEoIoSjuh7L052NcvlYAVK8fisbBlol9vAnp7om1lVz9M2eSGIha8fTTT+Pt7c2cOXNMHYoQFmla2HSO65tQcFePavdDkToFlkESA1ErkpOTad++PYcPH6ZVq1amDkcIi5Kbm4uHhwe//vorPj4+1e6HIiyDJAai1rz11lv8+eeffPPNN6YORQiLEhkZSWRkJNu2bTN1KKIekDoGotZMmzaNAwcOsGfPHlOHIoRFCQ8PZ+LEiaYOQ9QTkhiIWtOgQQPeffddpkyZQkFBganDEcIiHDp0iLNnzzJo0CBThyLqCUkMRK0aMWIEDRo04PPPPzd1KEJYhPDwcF544QWsrWXioKgamWMgat2hQ4cYNGgQR48exdHR0dThCGG20tPT8fLyIjExkTvvvNPU4Yh6Qq4YiFrXsWNHBgwYwNtvv23qUIQwa59//jlBQUGSFIhbIlcMhEmcO3cOPz8/fvvtN9q0aWPqcIQwO4WFhbRp04avvvqKrl27mjocUY/IFQNhEi4uLoSGhvLKK6+YOhQhzNKPP/6IRqORBmbilkliIExm8uTJ/Pnnn7K2WogaULxEUZqXiVsltxKESX333Xe88cYbxMXFYWNjY+pwhDALJ06coEuXLpw+fZoGDaRyobg1csVAmNTgwYNp0aIFy5cvN3UoQpiNZcuWMWbMGEkKRLXIFQNhcvHx8fTt25e//voLJycnU4cjRL2Wk5ODh4cHBw4cwMvLy9ThiHpIrhgIk/Pz82P48OHMnj3b1KEIUe+tXbuWzp07S1Igqk2uGIg6IT09nXvuuYddu3bh6+tr6nCEqJcMBgOdO3fmrbfeYuDAgaYOR9RTcsVA1AlOTk7MmDGDqVOnYjAYuHz5MteuXTN1WELUK3/88QcZGRn079/f1KGIekwSA1Fn/N///R/JycmMHTsWFxcXPv30U1OHJES9Eh4ezv/93/9JXwRxWyQxEHXG9u3buXDhAl9++SU5OTlcuHDB1CEJUW9cuHCBzZs3ExISYupQRD0niYGoEwwGAxMnTiQzM5PiaS9paWkmjkqI+uOzzz7j8ccfl5U94rZJRRlRJ6hUKuLi4pg0aRLffvstubm5pKSklHtN8qVstCmZaFMzSThzmcwcPfoCA2prFY4OanxbNsHf1RF/N0fcm8r6bWE5CgoKWL58OevXrzd1KMIMyKoEUef8/PPPBAUF0aJFCxKOHiP6yBlWHzhFXEpmlc8R4ObI6K6tGdSuBfa2cr9VmLfNmzczb948fv/9d1OHIsyAJAaiTkq7cJGPtiewOekaupw8ABrbZNHR6Sj+jkn4ao7jbJ+O2ioPfaEt53OdSNB5oc305lB6W67kNwJA42DLxD7ehHT3xNpKasYL8/TII48wcuRInnnmGVOHIsyAJAaizklKy2La+jhiknUAtNMcY7TnDwS57cXeWl/p8Tn5dkSn9iTy5EC0OqWlc6C7hkXBAXg3b1SjsQtR244dO0aPHj04ffo09vb2pg5HmAFJDESdsikmldCoOPT5BlzsLzK//Uf0dTlY7fPtPNeJsNhJnM91Qm2jYuHQAIYEuhoxYiFMa+rUqdjZ2fHOO++YOhRhJiQxEHXGmj9O88ZGLQDBHtuZ6fcpjuqrt33eTH1D5mjHsSG5HyoVzBviz9NdPG77vEKY2tWrV/Hw8ODQoUO0bt3a1OEIMyHLFUWdsCkmtSQpCPON4L0OHxolKQBwVF/l/Y5LCPONwGCA6Zu0bIpJNcq5hTClNWvW0L17d0kKhFFJYiBMLikti9CoOADe8P2M8W2iamSc8W2iSpKD0Kg4ktKyamQcIWqDwWAgPDyciRMnmjoUYWYkMRAmVVBoYNp6ZU7BMPcdPN9mY42ON75NFMPcd6DPNxC6IY6CQrmTJuqn/fv3c/XqVR566CFThyLMjCQGwqQi9p0kJlmHi/1FZvmvrJUxZ/mvxNk+ncOndUTsO1krYwphbOHh4UyYMAErK/kzLoxLfqOEyeTmFRC+KwmA+e0/Mtqcgso4qq+yoP1SAMJ3JZGbV1Ar4wphLOfPn2fr1q2MGTPG1KEIMySJgTCZ6CNn0OXk0U5z7LaWJFZHH+eD+GsS0eXk8f2Rs7U6thC3a+XKlQQHB9O0aVNThyLMkCQGwmRWHzgFwCjPLbU+tkoFo4vGjSyKQ4j6ID8/nxUrVsikQ1FjJDEQJpF8KZu4lEwa22QR5Lq3ZPva7XDPCGjYG7yGwd5YOBAPD02CZg/Dnf1h+Btw9mL58x0+Cr1egEZ9wPlR+PCbG8fcfRhUXWHGcuV5kOseGttkEZeiI/lSds29WSGMaPPmzXh4eNC+fXtThyLMlCQGwiS0RQ2ROjodxcHmGgDbf4fXwuHzmXBlJ+xZBne1hEuX4fkh8M9GOLUJGjeAsW+XnuuiDvpPhfFDIP0nSFoPD3cpP15ePkxeDPf5lm5zsLlGh2ZHAYhPrXqDJiFMSZYoipombZeFSWiLPoj9HZNKtr35KcwKga5+ynPX5uX/LfZiMDwwofT5B1/DI/fByP7Kczs13ONZ/pj31yjJQtql8tv9NUnsTuuENjWTR/1a3O7bEqJG/fXXXyQkJDBs2DBThyLMmFwxECaRcOYyAL6a4wAUFMDBv+CCDryDwS0IXnwPcnJvPHZPLPiW+eA/EA/NmsD946D5oxD0Cpw+V7r/1FmIiIZZ/7nxXH5F48enXjbaexOipnz88cc899xz2NnZmToUYcYkMRAmkZmjdEl0tk8H4HyGcrl//U7YuxxiIyHmb3j78/LHHUmEORGwaFLptpQ0WLUFPpwKpzeBZ0t4ambp/pc+gLnPQ6MGN8bR3D6jKJ48o74/IYztypUrfPXVV4wfP97UoQgzJ4mBMAl9gVJxUG2lfCA7FH0BmjQcWtwBd2jg5adgy2+lxyQlw6MvKwlAzzLzrhzs4PEHoPO9YG8Hbz4H+7WQmQXRe+FKNoy4SXG44vH1BYVGf49CGNPq1avp3bs37u7upg5FmDmZYyBMQm2tAkBfaAtA0ybg1lxZRlis7M+nzkK/STBzLIx+tPy52nlfd1yZfT8fVG5RuAxQnmdeBWsr0B6H7xaVjq+2lhxZ1F3FfRE+/PBDU4ciLID8NRQm4eigBuB8rlPJtrGDYOk6SMtQViIsXguDukNqGvR9EV4cDi8MvfFcYwfBxt0Qe0y5HTH3c+gRAI6NlFsIx9YptyZiI2FwDxj3GHw+Qzk2LbdZUTy2Nf6ehaiuPXv2UFBQQN++fU0dirAAkhgIk/Bt2QSABJ1XybaZIdD5HvB5Au55EgJ9YPoY+HQznEiF2Z8qdQqKH8X6doL5L8DAV5TJh0nJsGaOsq9xQ3BxKn042EFDe2jmqOyPLxrfz7VJbbxtIaqluC+CquylMSFqiMpgMEh7OVHrtmjPMmHNYXo7H+SLbrNNFsez+2ezO60Ty0Z2kOWKok46c+YMvr6+/PPPPzg6Opo6HGEB5IqBMAl/N+UP3KH0tuTkm2bpVU6+HYcz2gLg5yp/cEXd9Mknn/Dkk09KUiBqjSQGwiTcmzYgwM2RK/mNiE7taZIYolN7cSW/EQFuGtybVrCWUQgTy8vL45NPPpFKh6JWSWIgTGZU11YArD45oNbHNhjgyxMDARhdFIcQdc3GjRtp06YNfn5+pg5FWBBJDITJBLVricbBliM6H3ae61SrY+8634n4TG80DrYMaidzC0TdUVhYyMKFC4mPj5e+CMIkJDEQJmNva83EPt4AhMVOIlPfsFbGzdQ3JCxWKZ04sY839rbWtTKuEFWRn5/Pa6+9RqdOndi/fz8FBQXk5UllTlF7JDEQJhXS3ZNAdw3nc52Yox1XK2PO0Y7jfK4THTw0hHT3rPwAIWqRWq1GrVZz7do18vPzGTlyJPPmzTN1WMKCSGIgTMraSsWi4ADUNio2JPdjRWIFFYyMaHniMDYk90Nto4xrbSXrwkXd07ChcvXMwcGBRx55hNDQUBNHJCyJlEQWJufdvBELhwYwdV0sCxJCABjfJsro4yxPHMY7CWNRqWDh0AC87mxk9DGEuJnkS9loUzLRpmaScOYymTl69AUG1NYqHB3U+LZsgr+rI/5ujqhUKlQqFc899xxLlizBykq+w4naIwWORJ2x5o/TTN+kxWCAYe47mOW/Ekf11ds+b6a+IXO049iQ3A8MhYT2bcWEh9sZIWIh/l1uXgHRR86w+sAp4lIyq3yclS6Zjo2ziJw3VebAiFoniYGoUzbFpBIaFYc+34CzfToL2i+lr8vBap3LYFBWH4TFTuJ8rhN2Nlbcb3OSI5s/Y/fu3TRqJFcMRM0oKDQQse8k4buS0BW19G5sk0VHp6P4OybhqzmOs306aqs89IW2nM91IkHnhTbTm0PpbbmSr/xuahxsmdjHm5DunnLbS9QaSQxEnZOUlsW09XHEJOsAaKc5xijPLQS57sXB5lqlx+fk2xGd2ovIkwPQ6toA0MFDw6LgAO66oyHjxo3j3LlzbNq0CRsbuZsmjKui39/Rnj8Q5LYXe2t9pccrv789iTw5sOT3N9Bd+f31bi7JrKh5khiIOulm37g6NDuKvyYJP82SC2tfAAAfoklEQVRxmttnlHzjSsttRrzOC63Om8MZ//6NKy8vj4EDB+Lt7U14eLg0phFGU/aKl4v9Rea3/6jaV7wAdp4rveKltlGxcGgAQwJdjRixEDeSxEDUabl5BXx/5CyRB04Rl6Kr8nEBbhqe6daKgf4tKrxHe/nyZXr06MEzzzzDq6++asyQhYVa88dp3tioBSDYYzsz/T41+hwZlQrmDfHn6S4et31eIW5GEgNRbyRfyiY+VZnVHZ96mcycPPQFhaitrXB0sMXPVZnV7efqWKXeB8nJyXTr1o0lS5YQHBxcC+9AmKtNMalM+TYWgDDfiBpZVbMicSgLEkJQqWDx8PZy5UDUGEkMhEWLiYnh4YcfZvPmzXTr1s3U4Yh6KCktiwFL96DPN/CG72c832ZjjY1VnByobVRsmdRL5hyIGiGLY4VFCwwMZNWqVQwdOpTjx4+bOhxRzxQUGpi2XplTMMx9R40mBaDU9xjmvgN9voHQDXEUFMr3OmF8khgIizdgwADefPNNBgwYQHp6uqnDEfVIxL6TxCTrcLG/yCz/lbUy5iz/lTjbp3P4tI6IfSdrZUxhWSQxEAJ44YUXeOyxxxgyZAi5ubmmDkfUA7l5BYTvSgJgfvuPjDLRsCoc1VdZ0H4pAOG7ksjNK6iVcYXlkMRAiCLvvPMOLi4ujB07lsLCQlOHI+q46CNn0OXk0U5z7LaWJFZHH+eD+GsS0eXk8f2Rs7U6tjB/khgIUcTKyoovv/ySU6dOMXPmTFOHI+q41QdOATDKc0utj61SweiicSOL4hDCWCQxEKIMBwcHvvvuO7755hs+/fRTU4cj6qjkS9nEpWTS2CaLINe9jHoTWgyEJn3BZzh8+l3pa3/+H7QdAQ0egD4T4FSZL/gZmTBiOjg9DHc8AiNnweWiOxKnz0GjPuUfqq7w/lfK/iDXPTS2ySIuRUfypezae/PC7EliIMR17rzzTrZs2cKMGTPYtm2bqcMRdZC2qCFSR6ejONhcI+xZ+GcjXN4JmxfBjBVw6Chc1MHQ12Hu85CxDTrdAyNmlJ5nxgq4dAVOboTjG+B8BswumsPo4QJZu0of2q/AygqG9VH2O9hco0OzowDEp1a9QZMQlZHEQIgK+Pj4sH79ekaNGsWRI0dMHY6oY7RFH8T+jsrkQ9+7wE6t7FOplMfxFIj6Rdk3/EGwt4PZz0FcEhz9R3ntyTMwpBc0aQiOjeDx3pBwk4UGX26BXu2hdcvSbf6apHLxCGEMkhgIcRM9evTgv//9L4MGDSI1NdXU4Yg6JOHMZQB8NaW1LyYsVG4XtB0BLZxgwP2QcAICvEuPa+gAXq7KdoCJwfD9Prh0WXls2AWPVlBny2CAL7fCswPKb/crGj8+9bJR35+wbJIYCPEvnnzySSZMmMCgQYO4cuWKqcMRdURmjtIl0dm+tO7Fx6FwZSfsXQ5DeytXELJylCsBZTk2hCtFUwI63A36PHB6RHlYW8GEYTeO92uccpshuG/57c3tM4riyTPWWxNCEgMhKvPaa6/RuXNnRowYwcWLFxk4cCC//vqrqcMSJqQvUCoOqq3KfyBbW0OP9pByAZZtgEYOpZMJi13OhsZFrTyemA4+HkpCcfln8HKDUbNvHG/VD8rcgkbXtQApHl9fIMtrhfFIM3ohKqFSqQgPD6dfv354enqSnZ1Nq1at6NGjx02PSb6UjTZFafiUcOYymTl69AUG1NYqHB3U+LZUGj75u1Wt4ZOoW9TWSqtufaFthfvz8+F4qjK/YNUPpduv5ihzD3zvUp7HJkL4NOUWA8ALj0OP8eXPlZML63bCxndvHKd4fLW1fMcTxiOJgRBVoNVqiYuLIysrC4CtW7fe8JrcvAKij5xh9YFTxKX8+2SwPYkXSn4OcHNkdNfWDGpXcYtoUfc4OigzDc/nOpGWATsPwaDu4GAHO/4HX2+Hr+dAN3+YthQ27ISB3WHOZ9DOG9q2Vs7T+R5laePCF5Xnn2xS9pe1cTc0bQx9Ot4YR1pus6J4Kk5QhKgOSQyEqILt27eTnZ2NWq1Gr9eTkpLCxYsXueOOOygoNBCx7yThu5LQFd3rbWyTRUeno/g7JuGrOY6zfTpqqzz0hbacz3UiQeeFNtObQ+ltiUuBuPVxvP3Dn0zs401Id0+srVQmfsfi3/i2bMKexAsk6Lzo2OI3lkXBC+9CYSG0agFLpsDgXsprNyyAF9+HUW/BfffC2rml54mYAS+9D26DwQB0uRdWXVdba9UWGP2ostLhevE6LwD8XJvUzBsVFknaLgtRRWfOnGHZsmV8+OGHXLlyhffff5/Bo55n2vo4YpJ1ALTTHGO05w8Eue3F3lpf6Tlz8u2ITu1J5MmBaHVtAAh017AoOEBa6tZhW7RnmbDmML2dD/JFt9kmi+PZ/bPZndaJZSM78KhfC5PFIcyLJAZC3KK8vDyWLl1KoUdHPom7ij7fgIv9Rea3/+i2aubvPNeJsNhJnM91Qm2jYuHQAIYEuhoxcmEsyZey6blwF41tsvij/7M42Fyr9Rhy8u3o8uMqruQ3Ym9oH5mrIoxGZqwIcYtsbW1x6RHMR4ey0OcbCPbYzk99J952I52+LgfZ1ncCw9x3oM83MHVdLGv+OG2kqIUxuTdtQICbI1fyGxGd2tMkMUSn9uJKfiMC3DSSFAijksRAiFu0KSaVNzZqAQjzjeC9Dh8areWuo/oq73dcQphvBAYDTN+kZVOMFFeqi0Z1bQXA6pMDKnml8RkM8OWJgQCMLopDCGORxECIW5CUlkVoVBwAb/h+xvg2UTUyzvg2USXJQWhUHElpWTUyjqi+oHYt0TjYckTnw85znWp17F3nOxGf6Y3GwZZB7WRugTAuSQyEqKKCQgPT1sehzzcwzH0Hz7fZWKPjjW8TVXJbIXRDHAWFMh2oLrG3tWZiH2VtYVjsJDL1DWtl3Ex9Q8JiJwEwsY+3LHEVRieJgRBVFLHvJDHJOlzsLzLLf2WtjDnLfyXO9ukcPq0jYt9NuusIkwnp7kmguyPnc52Yox1XK2PO0Y7jfK4THTw0hHT3rJUxhWWRxECIKsjNKyB8l9LJbn77j4w2p6AyjuqrLGi/FIDwXUnk5hXUyriiaq5mXSHr5+WoCvPZkNyPFYlDa3S85YnD2JDcD7WNikXBAVLvQtQISQyEqILoI2fQ5eTRTnPstlcf3Ko+zgfx1ySiy8nj+yNna3VscXOJiYncd999tHFuwqLhgahUsCAhpMaSg+WJw3gnYSwqYOHQALzulDoXomZIYiBEFaw+cAqAUZ5ban1slQpGF40bWRSHMK1t27bRo0cPpk6dyscff0xwJw/mDfEvSQ5eOTTFaHMOMvUNeeXQFN5JGAsYcGvqgJ+ro1HOLURFJDEQohLJl7KJS8mksU0WQa57S7Ynngb7XjDqTeX52Ysw+FVoOQhUXeGfM+XP4/sUNOpT+rDpDkGvlO4vKIAZy5XjG/eFwGdAV9TpOch1D41tsohL0ZF8KbuG37G4GYPBwAcffMCYMWNYv349zz//fMm+p7t4sHh4e9Q2KjYk9+PhnR/f1moFg0EpevXwzo/ZkNwPW1UeTWyzSL6Uw4Cle2QZq6gx0itBiEpoixoidXQ6Wq7C3cT3lCY4xaxU0L8rhD0L91cwDy3h69KfDQa4aygMf7B025srYb8WflsJHi6QcALslV49ONhco0Ozo+xO60R8aqYUtDGB3Nxcxo8fj1ar5cCBA3h4eNzwmiGBrvi5OjL2iz9IvuREyIHZtNMcY5TnFoJc91apQqJSJrsXkScHlJTJ7tDsLxYFLuEOOx1ztOPYkNyPqetiyc4r4OkuN8YhxO2QxECISmhTlcTA3zGpZNva7aBpDPf7Q1KKss3ZCSYEKy13K7MnBi5mwrA+yvNLl2HJNxAXqTThAfDzKn+MvyaJ3Wmd0KZmSl38WnbmzBkef/xxWrduza+//kqDBjdPzOJTM0m+lAOAvXUuR3Q+hMb4MFf7HB2aHcVfk4Sf5jjN7TNKGmul5TYjXueFVufN4Yy2XMlX5g9obC8z0WcdId7fYa0qBOD9jkvwaXKaBQkhTN+kpYGttZTOFkYliYEQlUg4cxkAX81xAC5fhVmfwM5wpWVudazaAsN6Q0MH5bn2ONhYw/qdsHgtNGkIk0fAxODSY/yKxo9PvVzdtyKq4ffff2fYsGFMmDCBsLAwVBW1OSxyfQGsZ+76ge9TexB5ciBxl+5md1ondqdVfnshoOnfPOP5AwNdf62wGVdxYa0FCSGERsXh5+ooTbeE0UhiIEQlMnOUP8zO9ukAzFwB/wkCt+bVO192rpIAbF5Uui0lDTKz4FgynIyCxGR4cBL4uMND9ymvaW6fURRPXrXfi7lJvpSNNiUTbWomCWcuk5mjR19gQG2twtFBjW/LJvi7OuLv5lit2y+rVq1i2rRpfPbZZwQFBf3ra29WACvYYyfBHjtJvtqceJ032kxv4nVeZOY1Ql9gi9o6D0fbLPw0x/F3TMJPk4R7w7RKYxvfJopjlz3YkNyP0A1xrBt/vyxfFEYhiYEQldAXKBUH1VZ5xB6DHf+DmC+rf76oXdCsCTzQoXSbg53y76wQcLCHdm3gyX6w5bfSxEBtlVcUT2H1BzcDuXkFRB85w+oDp4grmv9xM3sSL5T8HODmyOiurRnUrsVNqwXOnTuXUaNG4e7uTmhoKNHR0fzyyy/ce++9lcZVWQEs94ZpuDdM41HX/ZWeq6pm+a/k1wuBHD6tjD+u511GO7ewXJIYCFEJtbXyLUxfaMvuw/DPWfB4TNmXlQMFhfDnM3C4isnCqi3wzABlGWKxdkpl3XLbrr9irS+0LYrHMhcTFRQaiNh3kvBdSeiKrpo0tsmio9NR/B2T8NUcx9k+veS+/flcJxJ0XmgzvTmU3pa4FIhbH8fbP/zJxD7ehHT3LPcNOzY2lrfeeouIiAg8PT2xsbHh999/p1mzZpXGZuoCWCEHZhO+K4nRXVtJiWRx2yQxEKISjg7K0oDzuU48PwSefKh033tfKYnCslDlee41JVEAuJanPLe3K319ShrsOgzLXys/hpcb9GwP876A/74MJ1Jh7Q74ek7pa9JymxXFY2vcN1gPJKVlMW19HDHJOgDaaY4x2vMHgtz2VngPvlj/lr8BxTP9exJ5ciBaXRvmbfmLLdqzLAoOKLk3P3fuXAwGA6dOKbUi/v77b9RqdZXiqwsFsLS6Nnx/5CzBHd1qdXxhfizzq4cQt8C3ZRMAEnReNLAHF6fSRyMHZUnhnU2V1zo8oNQoAGg7QnleVuRW6OanJALX+3oOnDoHTo/AwFdg7vPwYOfS/fE6ZZmCn2sTY7/FOm1TTCoDlu4puUwf0XU2m3u/zPBWP/9rUlCWg801nmi1g+jeU4noOhtn+3RiknUl9QBSUlKIjo6msLAQg8HA6dOnWbx4cZVjlAJYwpxIYiBEJfyLqsxpM71v2Dd7HKx+q/S54cCNj7LCnoW9Kyoex7U5/LgEsnbBiSgY/3j5/Vqdd7l4LMGaP04z5dtY9PkGgj2281Pfibf9jbyvy0G29Z1Q0rly6rpYngj7kLy8PGxsbGjdujWjRo2iR48eVTpfRQWwPloHncaAXU8YU+aqz4F4eGgSNHsY7uwPw99QCmMVW/y1Ut+iSV+l0NXUJRUvf919WCmiNWO58lwKYAljklsJQlTC3035ID6U3pacfLsqFakxtpx8Ow5ntAWosXK4NT3D/1ZtiknljY1aAMJ8I0qW6BmDo/pquXoAZ90e4LWPu/LGyIdo0uTWrshUVACr5R0wYyz8dAByyvy6XLoMzw+BR7oqy1NffA/Gvq0khACDe8LYQUqNjIxMCH4D/vstvPx06Tny8mHyYrjPt3SbFMASxiSJgRCVcG/agAA3R+JSIDq1J0+02lHrMUSn9uJKfiMC3DRG/aNfkzP8b8f19QCKl/4ZW9l6AFFnHHgu14pbzAsqLIA1tOh20sG/lHklxR69v/yxLwbDAxNKn5e9xWRAqaZZXECr2Ptr4OEukHap/HYpgCWMRRIDIapgVNdWxK0/wuqTA2o9MTAY4MsTAwEY3bWVUc5Z0zP8bze2iuoB1JTbrQdwfQGsW7EnFnw9y29b8xO88C5cyYY7NPD+5NJ9p85CRDQcXqVcbShLCmAJY5HEQIgqCGrXknk//MURnQ87z3Wq1Znnu853Ij7TG0NuFluWz6XLzOkV1umvqtqY4X87KqsHUBNupx7A9QWwqupIIsyJgO8Wlt/+9CPKI/E0fLkVnMuslnzpA2VSaqMKLhpJASxhLDL5UIgqsLe1ZmIfZfJfWOwko7XUrUymviFhsZMAeLm/Ly53OhEYGMjkyZM5f/78LZ+vNmb43w5T1wMACN+VRG5eQZWPLVsAq6qSkuHRl+HDqcoy1Yq08QDfu2BCUeIQvVe5ijDioYpfLwWwhLFIYiBEFYV09yTQXcP5XCfmaCton1gD5mjHcT7XiQ4eGl58yJf58+fz559/olKpuPfee3n99dfJyMgoef3atWu5ePFiheeqrRn+a/44Xe3z1YV6ALqcPL4/crbKx5UtgFUVp85Cv0kwcyyMfvTfX5ufD8eLcq2fDypzFlwGKI9vflYabz02jXLjW2oBLGE88hskRBVZW6lYFByA2kbFhuR+rEgcWqPjLU8cxobkfqhtlHGL73s7OzuzZMkSYmNjuXTpEj4+PsyZM4f//e9/PP300wQHB2MwGMqd6/oZ/u91+NBo38aLZ/iH+UZgMMD0TdpqXzkoWw/gnzMwYCo0fUj5IHzxPeWD8qIOuo8Dp4dB0w+6PQf74krP8cX3YH2/Uk+i+PHLIWVfWgY8NVNZCuj4oHKe3+OVfdWtB1C2AFax/PzSYlcFhcrP+fmQmgZ9X4QXh8MLFfz6fPqdEiPAnydhwZfwYFHPpbnPw7F1EBupPAb3gHGPweczit6bBRfAEsYliYEQt8C7eSMWDg1ApVJmstdUcrA8cRjvJIxFpYKFQwPwuvPGe/fu7u6sWLGC33//ncTERLp37w7A//73Pz744IOS110/w9+Yy/7KGt8mqiQ5CI2KIykt65aOv74ewIRF0LwpnP1e+SDcHQMfb1CKSkXMgAs/wqXt8NpoCJpWfr1/Nz+lHkTxo3dHZXtWDnS+Bw59ARnb4NmBSjGprKKl/9WpB1C2AFaxtz9Xilu98yWs/lH5+e3P4dPNSlXL2Z+WT1yK7TsC/iOhYW8lKRpwP8z/P2Vf44bli2s52EFDe2hWtHrVUgtgCeOTyYdC3KIhga5k5xUwfZOWBQkhHLvswSz/lUb5Bp6pb8gc7Tg2JPdDpYJ5Q/wZEuj6r8d4eXnx8ssvs27dOgwGA9nZ2YSFhdGjRw86de5Sb2b4X18P4OQZ5Zu1vR242EH/rpBwUnl+d9HijMJCsLZS6gNkXIbmlbQ1uMu1fE2A54fAq/+Fv09Dx7bVqwdQUQGs2eOUR0XefO7m5/p8ZqXDlfhiVvnnllgAS9QMuWIgRDU83cWDxcPbl9xWeHjnx+w816na5zMYYOe5Tjy882M2JPfDzsaKxcPb83SXqq0++Pbbb7l27RrW1tbY2NiQl5fHY489ZrIZ/s726Rw+rSNi38kqH3d9PYApT8La7Uqb6tQ02PqbkhwUazcS7HvB4Gnw3ODySUHMMbjjEfAZDnMjKq4eCBB7DPT54F2mfoC/JqlcPJW5vgCWKdRGASxhOSQxEKKahgS6smVSr5IJiSEHZjP4lw/49lS/Kn9A5OTb8e2phxi8ezEhB2aXTDTc8lLPSq8UlDV//nzy8vLIysri0qVL6HQ6/jqWVK9m+F9fD6BXe0g4AU0eBLfB0KktDCnTe+LIV3D5Z1gzB3oElG7vFQjxayBtK2xYAF9vg0Vf3Tje5asw+i148z/gWOZOza3WAygugHUlvxHRqT2rdIyx1VQBLGGZ5FaCELfBu3kj1r9wf0mxoCM6H0JjfJirfY4OzY7ir0nCT3Oc5vYZJcWC0nKbEa/zQqvz5nBGW67kK59KGgfbahcLUqlU2NjYYGNT+l963aFkk8/wv5WOf2XrARQWQv+p8PxjsH+lMjcg5G147SNYOKn0GHs7eOphuGcEtPeBgDbK7YJi/t4w6z+waLXSp6JYTi4EvQpdfctvh+rVAzC3AljCskliIMRtsrZSMa7nXYzu2orvj5wl8sAp4lJgd1ondqdVfnshwE3DM91aMdDfuOWF60LHv9CYyUQeOFWSGFy8eJElS5Ywffp0HBwcyh1Tth5AxmU4fU6ZY2CnVh5jB8GMFeUTg2J5BcqkvoA2FcSC8uFZ7JoehrwGbnfCitdvfH116gHUhQJYGgdbBrWTUsji9kliIISR2NtaE9zRjeCObiRfyiY+VWlIFJ96mcycPPQFhaitrXB0sMXPVWlI5OdaMw2JKur4t3Y7vPUpnD6vzGr/YqbSiOfpWcr6+FPnYFd46Qx+gEenwN4ySwH1ecrEP+11l+Z3H4beE2D6GHj7BWVbkOse5mr/Q1xKUYOm335h5MiRZGVl8dhjj9G5c2eysrJITEwkMTGRi+cBGqIvtOWOZuDZEpZFwatPK1cMVm2Bdt5Kh8L8fOjiCwUFSpOh8xmlTYW27ocOd4OzExz9B+Z+DsP7Kvvy8iE4TJnRv2oWWFVwM7U69QCKC2DN2/IXYbGT2NZ3Qq3cuilbAGtiH+8a6VshLI8kBkLUAPemDXBv2sBkzWyun+G//Xd4LRy+eRu63Fu+1W+PAJgyAoZPv/E8W5eUf977/6DvdRdBKur2B+Vn+D8zeTr7v/kYvV6Pra0tzzzzDJmZmeh0Ory8vPDx8cG6zRBQNSypBxD1DkxZDO9GKisP+naCxZPh6CmlNPCJM2BrA/5e8MP70PJOZdyfD8KYuUoy4dwMRvWHN8Yo+/Yfge/3KYmBpkwFwa2LSysQVrceQEh3T7ZozxKTrBSmer/jksoPuk1lC2CFdPes/AAhqkASAyHM0PUz/N/8FGaFQFc/Zb9r89LXTnlS+beyL8j/nFGuHnxx3ZK6m3X7g9KOf7GnMsjLUy7R5+Xl0blzZ+bNm4erqytWRV/b3/3xKMt2HydB50X/lr/R3gd+WXbjOZ2dIG71zeN87yXlUZEHOoDhwL+/z+rWAygugDVg6R42JPfDp8npGqsZATcvgCXE7ZJVCUKYobIz/AsKlFsFF3TgHQxuQUoVwZzcWzvnl1uhZwC0blm6rbjb36z/VHxM8Qz/fk+MZf78+fj4+KBSqcjNzcXd3b0kKYCK6wGYwu3UA6hLBbCEqC5JDIQwQ2Vn+J/PUC73r98Je5crVQRj/lYq8d2KL7fCmIHlt/1btz8oneGvx5bXX3+dv//+mxMnTrBgwYIbXmsu9QCGBLoyb4h/SXLwyqEpRmu6lalvyCuHppQkBVUpgCXErZLEQAgzVHaGv0PRZ+yk4dDiDrhDAy8/BVt+q/r5fo2Fc+kQ3Ld0W2Xd/orHV+IpneHfunVrvLy8bnitOdUDqGsFsIS4FTLHQAgzVLbjX1MNuDVXlhAWU93i7ehVW2Bo7/JXBsp2+wPIvKrMU9Aeh+8WUTK+Ek/VvoOYUz2AIYGu+Lk6Mm19HDHJEHJgNu00xxjluYUg17042Fyr9Bw5+XZEp/Yi8uQAtDplLWYHDw2LguX2gag5khgIYYau7/g3dhAsXaeUFLa1gcVrYZDSc4lr+tJ1/vqiroB26tLkIScXvv0ZNr5bfoy5z8Prz5Q+n/yBsjJg5tjSbbc6w9/c6gHUlQJYQtwKSQyEMEO+LZuwJ/FCyQz/mSFKu2KfJ8BeDU88qNQcALj7CaWGAcAjk5V/T0aVTjLctAc0jaFPx/JjNG6oPIpd3+0Pbn2GvznWA6irBbCEuBmV4frG7UKIem+L9iwT1hymt/NBvug222RxPLt/NrvTOrFsZIcq13QoKDQQvHw/Mck6hrnvqJV6AK8cmsKG5H508NDcUkfI6jJ1ASwh/o1cMRDCDF0/w78q97ONrboz/C2hHoCpC2AJ8W9kVYIQZqi+z/CXegBCmI4kBkKYqVFFM+tXnxxQ62MbY4a/1AMQwjQkMRDCTAW1a4nGwbZkhn9tMtYMf6kHIETtk8mHQpixlXtPMG/LXzjbp9fqDP+Hd37M+Vwnpg+4h3E977rtcyalZRXVA9ABSD0AIWqQJAZCmDFzmuFfUGgoqQegy1EqKja2yZJ6AEIYmSQGQpi5pLQsBizdgz7fQJhvRI3P8H8nYSxqGxVbX+pVI9/Gc/MKytQD0FX5OKkHIETVSGIghAXYFJPK1HWxGAzUWHJQdob/4uHta2Uyn9QDEML4JDEQwkKs+eM00zdpMRhgmPsOZvmvNMqcg0x9Q+Zox7EhuV/JDH+ZzCdE/SWJgRAWZFNMKqFRcejzDTjbp7Og/dJq9yMwGJTVB2Gxkzif64SdjRXvDm0ny/6EqOckMRDCwsgMfyHEv5HEQAgLJDP8hRA3I4mBEBZMZvgLIa4niYEQApAZ/kIIhSQGQgghhCghvRKEEEIIUUISAyGEEEKUkMRACCGEECUkMRBCCCFECUkMhBBCCFFCEgMhhBBClJDEQAghhBAlJDEQQgghRAlJDIQQQghRQhIDIYQQQpSQxEAIIYQQJSQxEEIIIUQJSQyEEEIIUUISAyGEEEKUkMRACCGEECUkMRBCCCFECUkMhBBCCFFCEgMhhBBClJDEQAghhBAlJDEQQgghRAlJDIQQQghRQhIDIYQQQpSQxEAIIYQQJSQxEEIIIUQJSQyEEEIIUUISAyGEEEKUkMRACCGEECUkMRBCCCFECUkMhBBCCFFCEgMhhBBClJDEQAghhBAl/h9UwXtHrFnQwQAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"id": "N1sQVZP1zIqq" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"### Automatisons la création du graphe à partir de l'ensemble des listes:\n", | |
" * Il faut une fonction pour convertir la $^{ième}$ liste en graphe $K_i$\n", | |
" * Une boucle pour ajouter chaque petit graphe crée à partir d'une liste au graphe $K$" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "KXRBRg_TzIqr" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"def liste_en_Ki_graphe(suite):\n", | |
" '''list('a','b','c') to graph a->b->c\n", | |
" '''\n", | |
" nodes = suite\n", | |
" K_i = nx.DiGraph()\n", | |
" for n in nodes:\n", | |
" K_i.add_node(n, kapn=str(n))\n", | |
" arretes = list(pairwise(nodes))\n", | |
" K_i.add_edges_from(arretes)\n", | |
" return K_i" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "EYOKGTEtzIqr" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"suites = [[5678, 3087, 8352, 6174],[5679, 4086, 8172, 7443, 3996, 6264, 4176, 6174],[5689, 4176, 6174], [5789, 4086, 8172, 7443, 3996, 6264, 4176, 6174],[6789, 3087, 8352, 6174]]" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "J8Q8e7X0zIqs" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"K = nx.DiGraph(overlap=False,fontsize=8)\n", | |
"for i, suite in enumerate(E_suites_Kaprekar):#E_suites_Kaprekar[-3:]#suites\n", | |
" #print(i)\n", | |
" k_i = liste_en_Ki_graphe(suite)\n", | |
" K = nx.compose(K,k_i)" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"metadata": { | |
"id": "zOtvppRXzIqs" | |
}, | |
"cell_type": "markdown", | |
"source": [ | |
"## Traçons le graphe K :\n", | |
"\n", | |
" * On trace le graphe de toutes les suites.\n", | |
" * avec networkx, le résultat est un peu moche:\n", | |
" * le rendu le moins pire est obtenu avec l'algorithme *Planar*, *spectral* échoue.\n", | |
" * *Kamada, kawai* serait bien si les arrêtes ne se chevauchaient pas.\n", | |
" \n", | |
"Le graphe est un arbre" | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "SlVuyJxYzIqt", | |
"outputId": "12f9b0c6-168d-44c9-9623-b776ab112527" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"fig = plt.figure(figsize=(18,9))\n", | |
"\n", | |
"plt.subplot(121,xticks=[],yticks=[])\n", | |
"nx.draw(K, with_labels=False, node_size=50, linewidths=1, node_color ='#ffc800', edgecolors ='#1f78b4')\n", | |
"\n", | |
"plt.subplot(122,xticks=[],yticks=[])\n", | |
"nx.draw_kamada_kawai(K, with_labels= True, node_size=1000, linewidths=1, node_color ='#ffc800', edgecolors ='#1f78b4')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "ucssov1SzIqt", | |
"outputId": "8257dfa8-c847-4b03-adcc-9ee9af66e1de" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"fig = plt.figure(figsize=(8,5))\n", | |
"pos = nx.spectral_layout(K)\n", | |
"nx.draw(K, pos=pos, with_labels=False, node_size=50, linewidths=1, node_color ='#ffc800', edgecolors ='#1f78b4')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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MZrNqa2vVr18/7dy5U15e/CwEAK2J77KAG8rJydHEiRNl9/ZTUOyVOh45TH/dfEBVtVajowGAR6M4AW4oJydHOUUVirz3j7r2lkTNnXBSKzP/rKFPrVD6rqNGxwMAj8VUHeCGqmqtSnniX3r9sieUFp7f+DyjNF6TN83WnyakafglnQ1MCACeiREnwA0tLyxRSpedTUqTJKWF52tY5zxN/XOWqpm2A4AWR3EC3FBxeZVigwuafRfXabe6+pdqeWGJk1MBgOejOAFuKDI0SFuOxTb7buvxvup70T4VV1Q7ORUAeD6KE+CGxsVGKLciRhml8U2eZ5TGK7c8Wg0KUmRIoEHpAMBzsTgccFPpu47q7qUZGtY5T3Gddmvr8b7KLY/W1Es/0h/3TlT6zLEK9OdyAABoSRQnwI2l7z6qqX/OUhf/UvW7aJ8aFKT84wO16I5UJfUOMToeAHgcihPg5qprrVpeWKI5z76su359naZdm8JIEwC0EtY4AW4u0N9H45MiNSa8Vt77N1GaAKAVUZwADzFy5EitW7fO6BgA4NGYqgM8xJEjR9S/f3+Vl5fL29vb6DgA4JEYcQI8RJcuXRQREaGCguYPxgQAXDiKE+BBRo4cqa+++sroGADgsShOgAcZMWIExQkAWhFrnAAPcvjwYUVFRamsrIx1TgDQChhxAjxI165d1aVLFxUWFhodBQA8EsUJ8DAcSwAArYfiBHgY1jkBQOthjRPgYUpKShQTE6OysjJ5efGzEQC0JL6rAh4mIiJCYWFhslgsRkcBAI9DcQI8EOc5AUDroDgBHogF4gDQOljjBHiggwcPKjY2VkePHmWdEwC0IL6jAh6oe/fuCgkJ0datW42OAgAeheIEeKgRI0YwXQcALYziBHgoFogDQMtjjRPgob799lsNHjxYR44cYZ0TALQQvpsCHqpnz54KDg7Wtm3bjI4CAB6D4gR4MI4lAICW5WN0AACtZ8SIEfrnP/+pqKgo1dbWauzYsUZHAgC3xhonwAPZ7XY98cQTev/997Vz5075+/srKipKeXl5RkcDALfGVB3ggUwmk1asWKE9e/ZIkurq6jRy5EhjQwGAB6A4AR5qxYoV6tq1qyTJ399fw4cPNzgRALg/ihPgoUJDQzV37lxJUk1NjVJSUgxOBADujzVOgIdKTk7Wpk2bGv+af9UB4MJRnAAPFBAQoNraWklSe/MVCh07Tb5edjXIR4+NG6AJqX0NTggA7oniBHig08Wp+/3LFBjkr+Qwi5JCtymnPFpZZWb5+baXZd7VRscEALfDOU6AB6qpqdHsd1fqr7uqtCR5vtLC8xvfZZTGa1LWbC3L2qdbkvsYmBIA3A+LwwEP9ecd9UoOszQpTZKUFp6v5DCLHvnXNtntdu3cuVMvvfSSkpOTNWrUKIPSAoB7YMQJ8FDesioptPl76hJDtyujNF7t27dXQ0ODJKm+vl7Dhg1zZkQAcDsUJ8ADVFdXa/v27Tp16pROnjyp48ePq0HtlVMe3ezX55ZHySYf9ejRQ0VFRbJarZKkvLw8jR07VnFxcYqPj1dcXJwuvfRSeXt7O/PjAIDLYnE44AFefPFFPfzwwwoKClJdXZ1OnTqlrqnXK3jELWdd4zT3l4M0PilS8+bN0wsvvCCbzaaXXnpJPXr0UEFBgfLz85Wfn69Dhw4pJiamSZmKjY3VRRddZOAnBgBjUJwAD3Ds2DF1795dp06dkvT9SeFbt27Vde/tUV39SSWHWZQYul255VHN7qpbu3atJk6cqHXr1ikyMrLJ37uyslIWi0X5+fmNherrr79WREREY5k6Xah69Oghk8nk1M8OAM5EcQLcXF5enh5++GHl5+fru+++k7e3t1544QVNmTJFkrQsa58e+dc2ealBNnnrqf+JvuDddFarVbt3724clTpdqOrr688oU1FRUfLz82uJj/qzff7555Kkq6/mCAYAF4biBLipoqIiPfroo1qzZo3mzp2r2267Tf369dPAgQO1evVqQ0Z+Dh8+3FiiTv9vUVGR+vfv32SqLy4uTiEhIU7JVFhYqLi4OEnStGnTtHDhQqf8uQA8E8UJcDMVFRV66qmn9Pbbb+v+++/Xgw8+qKCgIEnSN998o7CwMAUHBxuc8j9Onjypr7/+Wnl5eSooKGj8FRIS0qRMxcfHq0+fPvLyaplTUrL3leme97boRNV3qjtVo9K/z1d9yU6lpKQoMzOzRf4MAG0PxQlwEzU1NVq4cKGeffZZ3XDDDZo7d666du1qdKyfxWaz6ZtvvjljdOr48eOKjY1tMtUXExOjdu3andff/9eLM7Wl6LDa+dTJJLvsMumU1U+V+7bp6IezKU8AfjaOIwBcXENDg95//33Nnj1bCQkJWr9+vfr37290rAvi5eWlfv36qV+/frr++usbn5eXl6uwsFD5+fnKyMjQa6+9pp07d6pPnz5NylR8fLy6dOnS7N97aeY+5RYdla+XNDhkZ5OrZoL6mHW8yyW6//77nfVRAXgYRpwAF7Zy5Uo9/PDDat++vZ577jmlpqYaHcnp6urqtH379jMWovv5+Z1RpiJ6Xay4+Svl71V/1mMYauvsKnru+nP8iQBwdhQnwAWd3ilXXFysBQsW6LrrrmOb/4/Y7XYdOHDgjDJ1LCRKF11+t0aEb9G7Q+ed8fsmZM7TutLBKlrwS0lScXGxqqqqFB3d/EGhAPDfmKoDXMj+/fv16KOPavXq1ZozZ44mTZokX19fo2O5HJPJpJ49e6pnz5765S9/2fh8/id5entj8TmvmkkvHaTx48fryy+/VHl5uRISEpSdne2s6ADcHJf8Ai6goqJCDz30kAYPHqy+fftq165dmjp1KqXpPF3SLVQm2c951Uz9yWr99a9/1dGjR2Wz2dSrVy/V1NQ4OSkAd0VxAgxUU1Oj559/Xv3791d1dbW+/vprzZs3j+tMfqZxsREK9PFWVplZGaXxTd5llMYrq8ysewfaFBAQIEny9fVVXl6eQkNDNWTIEM2YMUN/+ctftH//frGKAUBzWOMEGMBmszXulBs0aJAWLFigAQMGGB3LI+QUVeimP22Qj6n+jKtmBvfupg8mp2jz5s26+uqrVVFRoQMHDqhDhw7avHmzNm7c2PjLy8tLKSkpjb8SEhIaCxeAtoviBDjZypUrNXPmTLVr167N7pRrbdW1Vr22drfezixSg82qoAB/Lbk9UQm9/3Na+ZEjR/Tee+/pwQcfPOP32+127d+/v0mR2rZtm2JiYpSSkqLk5GSlpKQoMjKSRftAG0NxApwkLy9PM2fOVFFRkZ5++ml2yrmZkydPNo5KZWVlaePGjTKZTIxKAW0MxQloZT/eKTd79mxNnjyZRd8e4FyjUqdHpBiVAjwPxQloJceOHdNTTz2lt956S9OmTdNDDz3Eom8Pd3pU6vSIVGZmJmulAA9DcQJaWE1NjV577TU988wzuv766zV37lx169bN6FgwwNlGpQYOHNikTDEqBbgPihPQQmw2m5YtW6ZHH31U8fHxWrBggaKiooyOBRfzU2ulkpOTlZCQcF4XG3++tUT3/yVftoZ6eXn76tWb4nV1TEQrfgqg7aI4AS1g1apVevjhhxUQEKDnnntOw4YNMzoS3MSFjkqNfH6tDh07ruQwS5MLjbt17KjKDx7SO++8o9jYWAM+GeCZKE7ABcjPz9fMmTO1b98+LViwQL/61a+YcsEFO3Xq1BnnSjU3KrVu7zH99oOss15ovP/9J9TNdEz79u0z8NMAnoXihDbv3Q17NXf5DnnLqgb5aJy5i56+Pl6llTWa8WG+iisq5e/jp9uSI3Vn6sUK8vfR/v37NXv2bK1cuVJz5sxhpxxa1dlGpTrf+75GRBSc9ULjLw+aVf32ZJWXlzs/NOChuOQXbVKnTp30wAMP6C91CbLaajQi/D/THKu+Nmu5pUT+XlYlh1l0Ze/vn7+2plIL1+5Qam2hPnnrJd13333avXs3O+XQ6kwmk3r37q3evXvr5ptvlvT9qFTM4yt/4kLjOFVVVWnevHn64osvtHv3bm3fvl2dO3d2ZnzAo1Cc0CYdP35cT3+UoR6/HHjWaY77+r2v+6P/ccbzjT6XKntLgfr26mFEdECS1K5dO3l7+57zQuOGepvq6uo0f/582Wzf39EXEhLS7NcDcAyX/KLNCh07TclhlialSZLSwvOVHGbRa7tvbfa5v69duaU2Z0YFmvXqTfHnvNC47B9PSvp+x6ck1dXV6aqrrtJjjz2mL7/8UidPnnR6ZsDdMeKENsvHy3bOaY71pXHNPs+r6K/iiurWjgf8pKtjItStU0dNypp9xoXG3Tp11M5vvl9gPnbsWFVVVWnWrFkaMmSI0tPT9cgjj6iwsFCxsbEaPny40tLSlJqaqk6dOhn9sQCXRnFCm2W1eZ1zmsPbdOaoUm55lEwmkyJDAls7HuCQrx4ardXbDuveZQFaXzpI3t4+ev3WwRoT3VWSlJKSooKCAv3617/WjTfeqNjYWI0bN07S92dKbdq0Senp6Xr55Zd188036+KLL1ZaWlrjr4gIzoMCfoxddWiTTCaTQpOvU+jo2857jVM7H19teGSsAv35uQOepb6+Xlu2bFFGRkbjr5CQEKWlpTWOSvXt25cjN9CmUZzQpkXPXqEGW+0Z0xy1Np/GXXU/fi6Tr96blKqk3iywheez2Wzatm2bMjIylJ6eroyMDDU0NDSWqLS0NJnNZnl5sVwWbQfFCW1e0q/v15E+Y+TtZVeDzUuje7fX/901Qke/+/4cp6KySvn7+emO5F76zdA+jDShzbLb7SoqKmosURkZGSotLVVqamrjqFRCQoL8/PyMjgq0GooT2qzq6mrNmTNHf/7zn3Xy5EnV1tbqrrvu0uLFi42OBriNw4cPa/369Y1Favfu3UpMTGwclUpOTlZQUJDRMYEWQ3FCm7RmzRrdfffdSklJ0csvv6z169fr7rvv1q5du9SxY0ej4wFu68SJE8rMzGwclcrLy1NMTEzj1N6wYcMUGhpqdEzgZ6M4oU05fvy4HnroIa1cuVKLFi3SNddc0/jOarXKx4dpOKAlnTp1StnZ2Y0jUhs3blRkZGSTBec9epz7MNmqWquWF5aouLxKkaFBGhcboSCmzGEQihPajI8//lj33Xef/vd//1cLFixQcHCw0ZGANsdqtSo/P79xwfn69esVFBTUZMH5pZde2rhzL6eoQlOWblBiiEXm4AJZKuOUW2HWojvO3KRRVWvVonV79G5mkawN9QoNCtSi2wYrpjujyGg5FCd4vCNHjmj69OnKz8/XkiVLNHz4cKMjAfiB3W7Xjh07miw4r6mpUVpamoakDtf7JyK1MOGxM44MmZH3uNJn/udYkM9yd2n6P7bL29Sg5LD/3D2ZVWbWmIG99Mz1cXr+ix16b9N+yW6Vn4+//njrII3o38Wojw43RXGCx7Lb7Vq6dKkefvhh3XXXXZozZ47atWtndCwAP2H//v3KyMjQB9n7FdKjRn8e8cQZX3NPzpNKGHCt6nZ8pTfeXqrvRs+Qr1/AWc9lq23wkr+37YxS1a9rmFZM54cpOI5JYnikoqIi3XPPPSotLdVnn32mwYMHGx0JgIN69eqlXr16qSRsm9qXPtbs18QEF+r3T+zQsXV/VlDslerl76WE0LPfPZlRGn/WUhV/xQ3KX/W3Vv1M8BycWgaPYrPZtHDhQiUmJmrkyJHKzs6mNAFuKjI0SJbKM++MlKTCE2bZKo9KkvxCusrLZD/n3ZPBvtVnLVXlMeNbNjg8GsUJHmP79u1KS0vThx9+qPXr12vWrFny9fU1OhaAn2lcbIRyK8zKKI1v8jyjNF5bjsUq719vqn///qo/fkQ2u+mcd092b3+02XeJodvlww49nAeKE9xefX29nnzySQ0fPly33nqr0tPTNWDAAKNjAbhAQf4+WnRHqmbkPa57cp7Uwp3jdU/Ok5qR97gW3ZGqPj0jtHnzZsV3atDJWpuyypovWVllZgX7VDX7Z+SWR8luPfNCb+BsWBwOt5abm6uJEycqIiJCixcvVmRkpNGRALSw6tPnOFVUKzIkUONiI5pcfWS1WvXE4g+0rCRYJjU0c/ekSf5e9rOucbo+rFJP/b/fGPDJ4I4oTlv722QAABKzSURBVHBLJ0+e1Lx58/Tuu+/qhRde0K233sqN7UAbV11r1Z/S9+rtzH2qt1oVdlF7Lb4tQdV1DbrpT+vlYzrz4u7KA8UaY9usa665RpdffrnCw8ON/hhwcRQnuJ2vvvpKkydPVmJiol555RW+0QH4SdW1Vr20aqfe2Vgku71B/r5++tNtgxXWUKHVq1dr1apVWrdunXr16qUxY8ZozJgxSktL4549nIHiBLdx4sQJzZw5U8uXL9frr7+ua6+91uhIADyI1WpVTk6OVq9erdWrV2vz5s1KSEhoLFJJSUlcywSKE9zDp59+qnvvvVfXXHONnn32WXXo0MHoSAA8XFVVlTIyMhqL1P79+zVixIjGIjVgwIBmlwhU1Vq1bFOR/rbloOrq62XuEapHfxGlLsEBBnwKtDSKE1xaaWmpfvvb3yonJ0dvvPGGRo0aZXQkAG1UaWmp1q5d2zi1Z7VaG0vU5ZdfroiICOUUVWjCmxvUYKtXSphFiT+cUr6pzKxHxg3WHSm9jf4YuEAUJ7gku92uZcuW6YEHHtCECRM0b948tW/f3uhYACDp++9Re/fubRyNWrt2rbr26C37L2bJ7uWtN86yg++7D2Ypd/2XioiIMDA9LgTFCS7n22+/1ZQpU/Ttt9/qrbfeUmJiotGRAOCcGhoa9Nw/NuifX+9TVMd9eiflzKtiJmTO04rVx7Xt7Vk6fPiwcnNzFRMTo8suu8yAxPi5OAATLsNms+n111/X4MGDlZKSotzcXEoTALfg7e0tr4vC5OtlVWLI9ma/JjF0u/xCu6l79+4aNmyY7rnnHq1YscLJSXGh2B4Ap/t8a4nu/0u+bA318vL21as3xauP73eaPHmyrFar1q1bp+jo5q9OAABXFRkaJJv8lFsR1ez73PIo1ZUfktVq1XfffSdfX1/5+PiorKxMYWFhTk6Ln4sRJzjVyOfX6rcfZCklNEczopYpJTRHv/0gS5e/lK4bbrhBGRkZlCYAbmlcbIRO2Toq62jsWa9+GeS1v8l6zaysLPXt21cJCQn6/e9/rzVr1qimpsbZ0XEeWOOEVnf48GFJUn6ZTb/9IOus1x78361DNSa6q1ExAeCC/feuuoQfTinfVGbW1NQ+mjpmoLZu3arRo0crMTFRq1evVl1dnTZt2qRVq1Zp1apV2rp1q1JTU3XFFVfoiiuukNls5mYEF0JxQqs7/S98zwf/rlHdLXp36LwzvmZC5jxtLE/SrieucXI6AGhZ1bVWLcver79tPqDa+nrF9QzVH66JUviPznE6ePCg6urq1KdPnzN+/7Fjx/Tll182FqmqqiqNGTOmsUixI89YFCe0up49e+rAgQPq8/t/6IGov2ha/7+e8TULd47Xy9tv0d4FnAYOAD+2b9++xhK1Zs0aRURENJaoESNGKDAw0OiIbQprnNDqTu8asdbblVPe/Pql3PIoeXuzVwEA/lufPn10991366OPPtLRo0f11ltvKSwsTM8++6y6du2qkSNH6sknn1R2drYaGhqMjuvxGHFCq9i0aZPuvPNOFRcXq7a2VlarVf4XJ6rXTbNY4wQALaSqqkrp6emNI1KHDh3S6NGjG0ekmpsKbPy9tVYtXLNL72zcL7utXu39A/Sn2wfrsj7s8DsXihNaxYEDB3TppZfq1KlTjc9MJpOGP7Nah44fV3KYRYk/LJrMKjOrW6eO+uqh0QYmBgD3V1JS0nglzKpVqxQUFNRYokaPHq2OHTtK+n4R+01/2iAfU72SwyxK+uFqmKwyswb37qYPJqcY/ElcF8UJreLw4cO6+uqrVVhYKLvdLrPZrIKCAplMJq3edlj3LtuihgarvL199PotgxlpAoAWZrfbZbFYGkvUhg0bNHDgQI0cc5U+scWrwWQ/6wzALd0qNXfab4wL78IoTmhxf//733Xfffdp4sSJ2rx5s1auXKn169dr6NChRkcDgDarpqZGmZmZWrSqUFvUS6nhhWfd5by26BIVvThea9as0aFDhzRhwgTnB3ZRrMZFizl+/LimT5+uTZs26eOPP1ZycrLKysr0j3/8g9IEAAYLCAjQ6NGjlVvXVXnpO5QUuq3Zr0sM3a70QzHy8fm+Ivj4+JxRnKpqrfr93/O13HJE3rKqQT56bNwATUjt2+qfw2gUJ7SIVatWaeLEibr22muVl5fXuD02LCxMd999t8HpAACnRYYGSfI65y7n+lP/Ob28Y8eOqqqqUlBQkKTv10fduHi9/L2sGhH+n/VRT/27VnOXb5XkowfH9NX0ywc44dM4H1N1uCDV1dWaOXOmPvnkE7355pu64oorjI4EADiHqlqrhj7xmWpt9Wdd47Tvzd+r/shuSd+POFmtVoWHh2vo8FHa2m+8vLzOvj4qpsNubT1xieymAI881JhznPCzZWVladCgQTpx4oQKCgooTQDgBoL8ffTmxFRZ7b6alDVbEzLnaeHO8ZqQOU+TsmbL+8RRffHBYnl5fV8R9u7dqx07duimm26SpdJP9fJRcpilSWmSpLTwfCWHWXS0NkRLkufLZK+R+VfTjPiIrYqpOpy3uro6Pf7441qyZIlee+013XDDDUZHAgCch6TeISqcO1avrd2ttzPbKbNssIIC/LVscqISeodIkiwWi1555RVFRkZKkl555RV1/3ybFq/bdc71UVsq+jeWqC8vucppn8lZKE44L1u3btXtt9+uHj16KD8/X127cowAALijQH8fzRwbpZljo5p9Hx0drcWLFzd5FhkapAZ5n3N9VCe/7yT9sMi8NL5lQ7sApurgkIaGBj3//PMaNWqUpk+frk8++YTSBABtzLjYCLWTXVllZmX8VynKKI1XVplZiy57QtL3JarB5nk1gxEn/KRvvvlGEyZMkJeXl7Kzs895hD8AwHMF+fto6T3DdOPi9ZqUNfuMWyDGdM1SdMfixhL1u8svNjpyi2NXHc7KbrdryZIleuSRRzRr1izNmDGjcbEgAKDtqq616tF/FuifBYdlklV2eSmh0zaN7JrXWKKqT9l04EXPWwNLcUKzDh06pEmTJunw4cNaunSpBg4caHQkAIALqq616qEPN+uz7WXyUoNs8tasqy7VPSMvMTpaq6A44Qx//etfNX36dE2ZMkWPPvqofH19jY4EAIBLYI0TGlVUVGjatGnavHmzPv30U1122WVGRwIAwKWwYAWSpC+++EKxsbHq3Lmz8vLyKE0AADSDEac2rrq6Wr/73e+0YsUKvfvuu7r88suNjgQAgMtixKkNy8zMVFxcnKqrq1VYWEhpAgDgJzDi5MG+OVqlGR/mq7iiUv4+frotOVJ3pl4sXzVo3rx5evvtt/XHP/5R1113ndFRAQBwC+yq81Dzl3+t9zbuVHKYRUmh25RTHq2sMrPs8pbvhjd1SUcvLV68WF26dDE6KgAAboPi5IG+OVqlsS+v1JLk+U1ur84ojdekrNnysdu1ac61CgrgmAEAAM4HU3UeYuvB45ry3haVV1WrtsFLaZ0tTUqTpMbbqvOPDdAKyyGNT4o0KC0AAO6JxeEe4L5lm3X962vV1y9D913ynoJ9TigpdFuzX5sYul12u13FFdVOTgkAgPtjxMnNbT14XKu/3t9kWu6bqu7KLY9q9utzy6NkMpkUGRLozJgAAHgERpzc3D3v5So5rOm03Mzod5RVFquM0vgmX3v6tmqTqb3GxUY4OyoAAG6PESc31rdvX9n+90ndHNd0Wq5Lu2N6JOZNTcqareQwixJDtzfeVi2Tr964M1WB/vyjBwDgfLGrzo0tW7ZMv1t3UmMGHNS7Q+ed8f7mjCeUXR6jAF8fBbXz1x3JvfSboX0oTQAA/EwUJzfXoY9ZXW957KxHDwT4+CjzkWsoSwAAtAD+a+rG6urqdMPoy/QvS5Ym6cxpObvJR0vuHEZpAgCghTDi5KZ2796tm2++WT169FC7du3UsXeUtnYapqPfVcvPx1d3Du2ju4f3pTQBANCC+K+qm7Hb7Vq6dKkeeughPfbYY5o6dapMJpPRsQAAaBMoTm6ksrJSU6dOVUFBgdauXSuz2Wx0JAAA2hTOcXITmzZt0qBBgxQcHKzs7GxKEwAABmDEycXZbDY9++yzeumll7Ro0SJdd911RkcCAKDNoji5sJKSEt1+++2yWq3Kzc1Vz549jY4EAECbxlSdi/r00081ePBgjRw5UmvXrqU0AQDgAhhxcjE1NTV6+OGH9cknn+jvf/+7UlNTjY4EAAB+wIiTC9m2bZuGDBmiw4cPKy8vj9IEAICLoTi5ALvdrjfeeEMjRozQ9OnT9eGHH6pTp05GxwIAAP+FqTon+jjvWz34UaFkt8omH/06obumD+uhGdOmaM+ePUpPT1dUVJTRMQEAwFlw5YqTJC9YpWNV3yk5zKKk0G3KKY9WVplZtfXeGla/RUsWzFJAQIDRMQEAwDkw4uQEH+d9q2NV32lJ8nylhec3Ps8ojdekrNnK80lUg4l/FAAAuDrWODnBgx8VKjnM0qQ0SVJaeL6SwyyqtkvLC0sMSgcAABxFcWplJpNJdnu9kkK3Nfs+MXS7vGRTcUW1k5MBAIDzRXFyAqtVyimPbvZdbnmUbPJSZEigk1MBAIDzRXFqBbt379bTTz+tcePGqWPHjjr6yXPKKjMrozS+yddllMYrq8ysQJM0LjbCoLQAAMBR7KprBc8884weeeQR2Wy2xmfdprypi0I6KjnMosTQ7cotj/p+V53NVx/dk6qk3iEGJgYAAI6gOLWC+vp69e3bV99++60kKTExUTt27NA1U2cp1ydOdnuD7PLWzUk99IdfDFSgPzvqAABwBxSnFnbixAnddddd2rNnj/bt26fa2lp9/vnnGjVqlNHRAADABWKNUwvKy8tTQkKCunbtquzsbH3yySf61a9+pZEjRxodDQAAtABGnFrA6bvm/vCHP2jhwoW66aabjI4EAABaAYtrLlB1dbWmTJmi/Px8ZWRkaMCAAUZHAgAArYTi5KCqWquWF5aouLxKkaFBGhcboeK9u3TjjTcqKSlJmzZtUvv27Y2OCQAAWhFTdQ7IKarQlKUblBhikTm4QJbKOG08MkBH/vm8FjwwSXfddZfREQEAgBNQnH5CVa1VI575TC8PmnPGBb3TN8/VhlnjOE4AAIA2gl11P2F5YYkSQ5q/oHdI2DYu5wUAoA2hOP2E4vIqmYMLmn0XE1zI5bwAALQhFKefEBkaJEtlXLPvtlbGcjkvAABtCMXpLOx2uwoKCjSid5ByK5q/oDe3wszlvAAAtCEsDv+Rf/3rX/r888+1ceNGbd++XXV1dXrqqac05uZ7GnfVxQQXamtlrHIrzFp0B5fzAgDQllCcfmTw4MHKz8/X6f9LOnbsqNLSUvn6+qr69DlOFdWKDAnUuNgIdtMBANDGUJx+ZPPmzRoyZIgaGhrUvn17Pf/885o6darRsQAAgIugOP0gKytL48ePV0JCgv79738rMDBQJSUl8vf3NzoaAABwEW1+rslut+u1117T/Pnz9cYbb+h//ud/NH/+fPXp04fSBAAAmmjTI06VlZWaNGmS9uzZo7/97W+6+OKLjY4EAABcWJs9jsBisSgpKUmdOnVSZmYmpQkAAPykNjFVV3V6R1x5lSJDg1Rp+Up/mPmgXnzxRd1+++1GxwMAAG7Co6fqFq7ZoRdW75W36tUgbw0P2SQvL29tLB2g+Vdfql+PSjA6IgAAcCMeO+J06aP/lsleoxHhFiWFblNOebSyygbLS1YtGbZAMzIe1y+GxnEWEwAAcJhHtoaFa3bIZK/RkuT5SgvPb3yeURqvSVmzted4uBJDLFpeGKfxSZEGJgUAAO7E4xaHz5kzR8+t3K3kMEuT0iRJaeH5Sg6z6LFt0xQTXKjiimqDUgIAAHfkccUpOztbPl4NSgrd1uz7xNDt8pJNWytjFRkS6OR0AADAnXlccfr8889ltXkrpzy62fe55VGyyUu5FWaNi41wcjoAAODOPK44SdLvrrxEWWVmZZTGN3meURqvrDKz/GXXojtSWRgOAADOi8ceR9DvkRXyNtUqOcyixNDtyi2PUlaZWVb5q3DOVZQmAABw3jy2OEnS4q92a8EXu+SlBtnkrVlXXap7Rl5idCwAAOCmPLo4AQAAtCSPXOMEAADQGihOAAAADqI4AQAAOIjiBAAA4CCKEwAAgIMoTgAAAA6iOAEAADiI4gQAAOAgihMAAICDKE4AAAAOojgBAAA4iOIEAADgIIoTAACAgyhOAAAADqI4AQAAOIjiBAAA4CCKEwAAgIMoTgAAAA6iOAEAADiI4gQAAOAgihMAAICDKE4AAAAOojgBAAA4iOIEAADgIIoTAACAgyhOAAAADqI4AQAAOIjiBAAA4CCKEwAAgIMoTgAAAA6iOAEAADiI4gQAAOCg/w8B4TqU7ElWwgAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
] | |
}, | |
{ | |
"metadata": { | |
"trusted": false, | |
"id": "Cyrl8YC7zIqu", | |
"outputId": "a25617fd-b4ff-41c8-9e9a-01b2a9c7931c" | |
}, | |
"cell_type": "code", | |
"source": [ | |
"fig = plt.figure(figsize=(35,30))\n", | |
"nx.draw_planar(K, with_labels= True, node_size=1500, linewidths=1, node_color ='#ffc800', edgecolors ='#1f78b4')" | |
], | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": "/opt/conda/lib/python3.7/site-packages/networkx/drawing/layout.py:950: FutureWarning: arrays to stack must be passed as a \"sequence\" type such as list or tuple. Support for non-sequence iterables such as generators is deprecated as of NumPy 1.16 and will raise an error in the future.\n pos = np.row_stack((pos[x] for x in node_list))\n" | |
}, | |
{ | |
"data": { | |
"image/png": 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