288 lines
100 KiB
Plaintext
288 lines
100 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "83c2b1e7-b401-4a15-adf0-d43cebf9ad81",
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"metadata": {},
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"source": [
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"# Projet algorithme # \n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "0b4f92e5-ac40-4491-983d-890c4f0f6694",
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"metadata": {},
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"source": [
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"## Context du projet: \n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "5f483b31-1246-4f00-ae39-718ef92ce9eb",
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"metadata": {},
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"source": [
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"L'ADEME a lancé un appel à manifestation d'intérêt pour développer des solutions de mobilité adaptées à différents territoires. CesiCDP, en collaboration avec des partenaires, s'est spécialisé dans la Mobilité Multimodale Intelligente. Dans le cadre de cet appel, l'équipe de CesiCDP travaille sur la gestion de tournées de livraison pour minimiser les trajets et optimiser l'efficacité. L'objectif est d'obtenir de nouveaux marchés et des financements pour poursuivre le développement de l'entreprise. Des contraintes supplémentaires seront ajoutées pour rendre le problème plus réaliste et intéressant pour l'ADEME."
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]
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},
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{
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"cell_type": "markdown",
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"id": "fc23daaf-9f25-4c5a-bf6c-300a7ed8d623",
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"metadata": {},
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"source": [
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"Notre but est de réaliser un algorithme qui permette de passer par tout les points de livraisons avec un temps optimisé."
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]
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},
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{
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"cell_type": "markdown",
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"id": "ba356166-604a-4627-ac0f-93b76eb7a22d",
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"metadata": {},
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"source": [
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"## Modélisation du problème"
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]
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},
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{
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"cell_type": "markdown",
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"id": "50a3e56e-3bdc-4f2c-a811-8433ffeb2a34",
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"metadata": {},
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"source": [
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"L'objectif de notre algorithme est de calculer et de fournir le meilleur itinéraire possible et le plus optimisé en terme de temps.\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "c4d6888b-14e6-4745-880f-0a063ebf7476",
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"metadata": {},
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"source": [
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"Notre problème se modélise sous forme d'un graphe, chaque sommet du graphe va représenter une ville. Le but est de passer par chaque ville pour revenir au point de départ en empruntant le chemin le plus rapide. Chaque arête possède un poids qui représente le temps de trajet d'une ville A à une ville B. \n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "3346ae96-1c36-4e9d-9480-3ab4657c7d68",
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"metadata": {},
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"source": [
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"## Objectifs\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "dbd49849-988e-4915-8e28-e00085f4b97e",
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"metadata": {},
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"source": [
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"Minimiser les temps de trajets, en optimisant les itinéraires."
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]
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},
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{
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"cell_type": "markdown",
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"id": "d633beb7-8f26-46d4-9cd9-1d0093e5b5c3",
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"metadata": {},
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"source": [
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"## Contrainte :\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "35fc1c3c-d7a9-4423-a948-aa00ab51dbf4",
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"metadata": {},
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"source": [
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"Contrainte de temps entre les sommets. Les temps de parcours d'une arête peut varié au cours du temps en fonction de l'heure. \n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"id": "337db031-2e38-4b6d-9d57-74e277d7f033",
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"metadata": {
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"scrolled": true
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"array([[0, 0, 0, ..., 0, 0, 0],\n",
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" [0, 0, 0, ..., 1, 0, 0],\n",
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" [0, 0, 0, ..., 1, 0, 0],\n",
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" ...,\n",
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" [0, 1, 1, ..., 0, 0, 1],\n",
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" [0, 0, 0, ..., 0, 0, 1],\n",
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" [0, 0, 0, ..., 1, 1, 0]])"
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]
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},
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"execution_count": 15,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"import numpy as np\n",
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"\n",
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"mat = np.random.random((100, 100))\n",
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"mat = mat + mat.T\n",
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"adja = (mat >= 1.4).astype(int)\n",
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"for i in range(adja.shape[0]):\n",
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" adja[i ,i] = 0\n",
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"adja"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"id": "ca201fb6-740f-4f26-b7d0-d48ae037e8ef",
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"metadata": {
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"scrolled": true
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},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import networkx as nx\n",
|
|
"import scipy\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"fix, ax = plt.subplots(1, 1,figsize=(4,4))\n",
|
|
"G = nx.DiGraph(np.array(adja))\n",
|
|
"layout = nx.kamada_kawai_layout(G)\n",
|
|
"nx.draw(G, with_labels=True, ax=ax, pos=layout)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "5baaba8c-1e8f-4da6-9504-1128644391dd",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[[0 0 0 0 1 1 1 1 1 0]\n",
|
|
" [0 0 0 1 1 1 1 1 1 0]\n",
|
|
" [0 0 0 0 1 1 0 0 0 1]\n",
|
|
" [0 1 0 0 0 0 1 0 0 1]\n",
|
|
" [1 1 1 0 0 1 1 0 1 0]\n",
|
|
" [1 1 1 0 1 0 1 1 0 1]\n",
|
|
" [1 1 0 1 1 1 0 1 0 0]\n",
|
|
" [1 1 0 0 0 1 1 0 0 1]\n",
|
|
" [1 1 0 0 1 0 0 0 0 0]\n",
|
|
" [0 0 1 1 0 1 0 1 0 0]]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"from collections import defaultdict\n",
|
|
"\n",
|
|
"def dfs(graph, start, visited):\n",
|
|
" visited.add(start)\n",
|
|
" for neighbor in graph[start]:\n",
|
|
" if neighbor not in visited:\n",
|
|
" dfs(graph, neighbor, visited)\n",
|
|
"\n",
|
|
"mat = np.random.random((10, 10))\n",
|
|
"mat = mat + mat.T\n",
|
|
"matrix = (mat >= 1.4).astype(int)\n",
|
|
"for i in range(matrix.shape[0]):\n",
|
|
" matrix[i, i] = 0\n",
|
|
"\n",
|
|
"# Créer un dictionnaire représentant le graphe\n",
|
|
"graph = defaultdict(list)\n",
|
|
"for i in range(matrix.shape[0]):\n",
|
|
" for j in range(matrix.shape[1]):\n",
|
|
" if matrix[i, j] == 1:\n",
|
|
" graph[i].append(j)\n",
|
|
"\n",
|
|
"# Effectuer la recherche en profondeur pour trouver les sommets accessibles depuis le premier sommet\n",
|
|
"visited = set()\n",
|
|
"dfs(graph, 0, visited)\n",
|
|
"\n",
|
|
"# Vérifier si tous les sommets ont été visités\n",
|
|
"is_connected = len(visited) == matrix.shape[0]\n",
|
|
"\n",
|
|
"# Si le graphe n'est pas connexe, ajouter des arêtes supplémentaires pour connecter les sommets manquants\n",
|
|
"if not is_connected:\n",
|
|
" for i in range(matrix.shape[0]):\n",
|
|
" if i not in visited:\n",
|
|
" # Trouver un sommet déjà visité et ajouter une arête entre les deux sommets\n",
|
|
" random_visited = np.random.choice(list(visited))\n",
|
|
" adja[i, random_visited] = 1\n",
|
|
" adja[random_visited, i] = 1\n",
|
|
"\n",
|
|
"print(adja)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "91a312bd-26c5-424e-aa54-c08328831308",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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+9xfaztObeO9BimSz2TBo0KBgNyMibNmyBT//+c+h0WgwePBgjBgxAiNGjEBLSwsuXLgAYfRcyPpEr/trB2dAN3oi6opehWSrg7r/YFiPfgJnfQ1S7nrS7/lTE3W9XreSQUmKZLfbkZCQEOxmRIRrrrkGQOvroRUVFaioqEBhYWH7+gmj78YFIREuH706SfcsQd2+7bAeK4Sr2QJN8nAkP7Aa0aljfZ5bJQrITU8OyOfwhUFJiuR0OpGUlBTsZkSEzMxM6PV6WK1X9jyr1Wp88MEHSB17I6Zu2ufzGIJag/63z0f/2+d36dwuScbcm3q/MAafUZLiNDc3Q5ZlpKSkBLspYcvpdGLjxo1IT0/HgAEDrghJQRCg1Wrx6aefYvLkyUhLiUPOqCSfb+d0h0oUkDMqqU/mNmJQkuJ88803AMCSat3w9ttv4+abb0Z0dDSWLFmC06dP49Zbb8Wf//zn9m1UKhUKCgqQk5PTvmzdzCyoAxyUalHAuplZAT2mNwxKUhx3ULIgRuccPnwY9957L3Q6He677z4UFxcjIyMDW7Zsgd1uR1FRER5//HFkZWVBFEW88cYbmDZt2hXHGGrQIW+G53Jp3ZU/I7PPpoXgM0pSnMrKSgAsiOHLhQsXsHbtWrz55pswmVqnbBgyZAjmzZuHlStXIi6u4+3u9u3bUVdXh1tvvdXjMWePT0WtxR6QCudPTcvos6K9AIOSFMhdEGPUqFFBbkloaW5uxgsvvICtW7e2V1eKj4/HvHnzkJeXhxEjRvjc/3vf+57fcyzMTUNSrBZrCo7DKcl+58u5nEoUoBYF5M/I7NOQBBiUpEDughjDhg0LckuCT5Ik/O1vf8MLL7yA//znP5AkCRqNBlOmTMGaNWswceLEgJ9z9vhU3HJ1UpdnYZwwMjFoszAyKElxLl68CEEQoNH4LrYQyQ4cOID8/HwUFRXBbrdDEARce+21WLJkCebMmQNR7N3ui6EGHbY9kv3tvN6lNTCaPMzrnahDbnoy5t6U2ie9295wzhxSnOuvvx7Hjh2D3W4PdlP6VGVlJVavXo23334b9fX1AFqvqufPn49ly5YFvZKS1e5EhckKh1OCRi1ieKK+19+46SwGJSnO1Vdfjdra2vawiGQWiwXPP/88Xn31VVRVVQEADAYDZs2ahbVr13KIVCeFRlwT9aHGxkbodH3/nKuvSJKErVu34g9/+AOOHz8OWZYRHR2NH/zgB1i7di1uuOGGYDcx7DAoSXFsNhuGDBkS7GYE3CeffIJnnnkGBw4cgNPphCiKGD9+PJYtW4ZZs2YFu3lhjUFJimO322Ew+C8GGw5KSkqwatUqvP/++7BYLABahz0tWLAAixYtUnSHVSAxKElxeloQI9idDmazGc8++yxee+01VFdXAwCSk5Mxf/58rFq1isU+egGDkhTFfdXV1YIY7cNYSmpgNHsYxmLQITcjGXOyU5GWEvhhLE6nE5s3b8af/vQnlJa2vtmi1+sxa9Ys5OXlITMzsK8H0pUYlKQoZWVlADpfEOOM2eZ3YLQMoNJsw7biSrzyeQVyRiUFbGB0QUEBnn/+eRw6dAgulwtqtRo5OTlYsWIF7rrrrh4fnzqHRTFIUdwFMVJT/b8Ct/OQEVM2FuFgeeu7zv5et3OvP1huwpSNRdh5yOh12+bmZkyfPh0PPvhgh3WHDx/GfffdB51Oh3vvvbe9CMUf//hH2O127Nu3jyHZx3hFSYpiNLaGl7/3ljcXnup28QZX2zvMy3cdRa3FjoW5aVesb2lpwQMPPIB//OMfEEURL7zwAlwuF/Ly8vDGG2+0F6EYPHgwFi1ahJUrVyI+Pr5bbaHAYFCSopw9exaA74IYOw8ZPYak42Il6j97DY4LZXBZ6yBEaRGVOBTx2fdDl5bt8VgbPirFgFhtexEHl8uFuXPn4r333gPQOuZx9OjRMJtbp2aNj4/HnDlzkJ+fj5Ej/c8+SH2Dt96kKO6CGEOHDvW4/ozZhjUFxz2uczXUQHI0QZ81Gf2nPIZ+E34EALj41jNXzCD4XasLjuOM2QZJkvDoo4/i9ddfv2LGwkuXLmHy5MnYt28f6uvrsX37doZkiOErjKQoU6ZMQWFhIVwul8f1814uxsFyU6fLf8mSC+df+SVkZwuGPL7F4zYqUcD3B+tx7A8LUFJS4nGbkydPIiMjo3MfgvocryhJUUwmE6KiojyuO1XdiP1ltV2qkSiIKqjjkiDZLV63cUkyvjxrQbnJ1nF/oXV6hDfeeKPT56S+x2eUpCh1dXVeq+TsKDb6rY0IAJKjGbLTDsluQ9OpYjSVfwXdmByf+4iQsXTL23ju/utw8eJFGI3G9v/OnDmDqVOndvszUe9jUJKiNDY2Qq/Xe1xXWFLTqavJS59uhcX9TFIQoUu/GYZpP/O5jwQBB07XQRAEJCcnIzk5mcUpwgiDkhSlqakJycnJHZZb7E4YzR1vjT2JH38vdKMnwtVogu3kZ5BlCXC1+N3PaLLBaneGTI1F6jw+oyRFsdvt6N+/f4fllSYrOvtkMipxKGKGX4fYrMlI/uEayI5m1LyZD3/9ojKACpPV5zYUmhiUpCgulwsDBgzosNzhlLp9TN3oW+A4fwpOc5XfbXtyHgoeBiUpRl1dHQBg4MCBHdZp1N3/U5BbWqeUkOz+rxZ7ch4KHv7WSDF8FcQYnqiH4Gd/l7WuwzLZ5YT12KcQ1FpEJfl+f1xoOw+FHz5VJsUoLy8H4HmaWr1WjSEJ0Thb1+x1f9MHmyE7bNAOHQtVXCJclkuwntgLp+ks+t/+CERNjM/zpybq2JETpvhbI8UoKioCACxevBjPPfccDAYDDAYDTCYTKioq4Lx2JuKvvweyl2tL/ZgcWI58jMZ/vwepqRGiJgaagaPQ/7aHvb7r7aYSBeSmd+xtp/DAoCTFaGxsBND6bvWlS5c6rF8ycRTeavJ+A66/ZhL010zq1rldkoy5N/kv7Uahic8oSTGamz3fVouiiE8//RQvrF6KnFFJUIn+nlZ2jUoUkDMqCaOSA1/5nPoGg5IiWnV1NX76059iwoQJeOuttzxu8z//8z/Izc0FAKybmQV1gINSLQpYNzMroMekvsWgpIhVW1uLxx57DK+++io+//xzSFLHMYwrVqzAQw891P7zUIMOeTMCO/9M/ozMgEwLQcHDMmsUcfbt24df/epX+OqrryDLMtRqNZxOZ4ft7rzzzvYq49/Vkwrnl3tqWgaeyPVeJJjCA68oKSJIkoTf/va3GDRoECZNmoSvvvoK48aNQ2FhIV5++eUO299zzz3YtWuXx5AEgIW5afjN/VnQqsUuP7NUiQK0ahHr789iSEYIXlFSWLtw4QJ++ctfYvfu3XA4HNBqtXjggQfw4osvthe/aGpqwsCBA9HQ0ACgdWKxkpISr+XWLteZWRjd3OsDOQsjhQYGJYWlPXv24KmnnsLhw4cBtL5t89RTT2HRokUerxIXL16MTZs2AQD+8Y9/4O677+7S+drn9S6tgdHkYV7vRB1y05Mx96ZU9m5HIAYlhQ2n04l169Zh8+bNuHjxIgRBQHZ2Nl588UXcfPPNPvctKSnB6NGjMWjQoPZ5c7rLaneiwmSFwylBoxYxPFHPN24iHH+7FPKMRiN++ctf4t1330VLSwtiYmIwf/58/O53v4PBYPC7v9XuhCUqAZpB6fjp4id7XBNSr1Ujc3C/bu9P4YdXlBSy3n33XaxYsQLHjh0D0PpsccWKFXj88ce9dsK4td8ql9TAaPZwq2zQITcjGXOyU5GWwltl8o1BSSHF4XAgLy8PW7ZsgdlshiAImDhxIjZt2oRx48b53Z+dL9QbGJQUEsrLy7Fo0SJ8+OGHcDqd0Ov1mDdvHtavX4/4+PhOHWPnISPWFByHU5K7NJOiShSgFgXkzcjE7PF8H5s6YlBSUL311lt4+umn2+e7HjFiBFatWoWHH364S8cJ1ADxpdPSsTA3rcfHocjCzhzqc83Nzfj1r3+NrVu3or6+HqIo4vbbb8fvf/97jB07tsvH23nI6DEk7edLYT36CZqNR+Gsr4YYEw/t4Awk3DoPUYYhHo+14aNSDIjV4ke8sqTL8IqS+szJkyfx5JNP4pNPPoHL5UJ8fDwefvhhrFu3Djpd954PnjHbMGVjEewe5qK5uHsd7Ge/hm70REQlD4fLcgmN/3oXsqMZAx/cAM2A4R6PqVWL2LN4Ep9ZUjsGJfW6HTt2YM2aNfjmm28AAGlpacjLy8OPf/zjHh973svFOFhu8vhMsvns19AOGgVBFdW+rMVchXMvL4R+9C1Imr7U4zFVooAJIxOx7RHfxXhJOXjrTb3CarVi+fLlePXVV9HY2AiVSoU777wTv//975Genh6Qc5yqbsT+slqv66OvGtNhWZRhCDRJqWipPeN1P5ckY39ZLcpqGvmWDQFgUQxFsNqdOH6uHv82XsLxc/Ww2jtW0gmUI0eOIDc3F/Hx8di8eTNUKhWWLVsGi8WC999/P2AhCQA7io1dLlghyzJctjqIOt896SpRwPYvjD1pHkUQXlFGqN4YcF1bW4ukpCSP615++WU8++yzqKioAACMGTMGzz33HGbOnNmzD+JDYUlNl4YBAYD1+F64Gk1ImDjH53YuSUZhaQ3WIrC1KSk88Yoywpwx2zDv5WJM3bQP24orUfmdkAQAGUCl2YZtxZWYumkf5r1cjDNmm8/jbt26FQMGDMCHH37YvqyhoQELFixAbGwsHn30UZw9exbTp09HeXk5Tpw40ashabE7YfTT5u9qMZ2B+eM/QTtkNPRZk/1ubzTZevXqm8IHgzKC7DxkxJSNRThYbgIAv1db7vUHy02YsrEIOw95vtX85JNP8F//9V8AgA0bNuDLL7/ExIkTkZCQgP/+7/9GdHQ0Vq1aBavVioKCAowYMSKAn8qzSpO1wz8Avrgsl1DzRh5ErR5J962AIKr87iMDqDBZu91Gihy89Y4QPRlw7Wp7k2X5rqOotdivGHB98uRJ3HfffXC5XABay5vt2bMHAJCVlYX169fjrrvu6vkH6CKHh+FA3kjNVlS/vgZSsxUpc9dDHZfYK+ehyMWgjADeBlwDrcNh6vZvh/3sCUhNFqjiB0B/zSTEZ8+EGNWxcO3lA65ra2sxZcoUWK1XXlVdffXV2Lt3L6666qpe+TydoVF37mZIdjpQ82Y+nJeqkDL7WWiSujaQvLPnocjGoAxzZ8w2rCk47nGds+EiLry6BIJWj7hx90CMiYO96iTqP9sBx4UyJD+wyuN+qwuOY7Dagh9Muql9LuzLnT9/Hv36BbfM2PBEPQTA5+23LLlw8X/Xw37uJJJn/RraIR2HC/kitJ2HiEEZ5lbuPgqnl2eR1mOFkOxWDJr7W2gGDAMAxF13JyBLsB77FK5mC1TRsR32a3G68MP1uzyGJADYbDbs3bsX06dPD9wH6SK9Vo1Ugw6VPjp0Ln36MprKihEz6ka4miywHCu8Yn3s2Fyf50hN1LEgLwFgUIY1fwOuJUdriKj0CVcsV8UaAEGEIHr+9UsQED3i+zh8+gK+NywZNpsN9fX1qKurQ319PZqampCTkxOwz9FduRnJ2FZc6bXTylFdDgBoKvsnmsr+2WG9r6BUiQJy05MD01AKewzKMOYecO0tKKJTs9DwxZswvfcSEnLmtN16f43Gf7+HuOunQ9R4n1xLJQrYfaQW1w5PgV6vh16vx+DBg3vro3TLnOxUvPJ5hdf1A+f8ptvHdkky5t7EwhjUikEZxvwNuI4ZeT365cxFw+dv4HxZcfvy+Ak/Qv9b5/k8djgMuE5LiUPOqCSv73p3l/tdb76+SG4MyjDV2QHX6n4p0A7NhC5jAlQx8bB9cwgNB1+HSp+A+Ot9P2N0D7gO5ed062ZmYcrGooAGpVoUsG5mVsCOR+GPYx/CVGcGXFtPFMH8wWYk3rUIcdfdCV3GBCTd/ST0WZNRt/cVuJoafO4fDgOuhxp0yJsR2Kve/BmZLLFGV2BQhqnODIRu/Nd70KSMhDr+yvezdaNuhNxib+/s6Ol5gm32+FQsnRaYYhtPTctg0V7qgEEZpjozENplq4Msdww6WWp9ywbu//fwPKFgYW4afnN/FrRqscsVhVSiAK1axPr7s/BE7qheaiGFs/D4K1Aoi8WC4uJinDt3DpJ0ZeC5B1z7EtV/MBzV36DFXHXFcuuJIkAQEeWlwrdbuA24nj0+FXsWT8KEka2vKPoLTPf6CSMTsWfxJF5JklescB7CVq5cieeffx4AoFarMXDgQFx11VVobGxEc3MzmqeugDphoNf9m43HUP23lRBj4hF3/Q9aO3PK/onm8q8Qe+00JN61yOf5hyXqULTU96DsUNVeZq60BkaThzJziTrkpidj7k2p7N0mvxiUIeyDDz7wWnBCrVbj7lV/wTG7wWePr/1cCeo+ew0t1eVwNTVCnZCC2LGTEX/TLJ8VdFSigHnZw7A2wB0lwfDhJ3sx/Sfz8evVazFr5r0YnqgP6Z58Cj38toQwl8sFtVoNp/PKmogDBw7Ef/7zH9TLMZi6aZ/PY2gHZyDl/+R1/dwRNOD6z//vJbTUnMYHO7Zg9RMPBrs5FIb4jDLEnDhxAg888ABiY2Nxzz33XBGSoihi6NCh+PLLL5GcnNw+4LqrnRf+qEQBOaOSIuKW9Pz583jnnXcAAF988UV7BXairmBQhgCz2Ywnn3wSKSkpyMzMxFtvvYXY2FgsWbIEhYWthRwEQUBSUhKKioowZMi3c1Kvm5kFdYCDMpIGXD///PPtHWGCIOA3v+n+a42kXHxGGSQtLS146aWXsGXLFpSVlQEAYmNjcffddyM/Px8ZGRkAWifDGjNmDGpqanDgwAGMGdOxVNjOQ0Ys33U0YG1bf39WRPQAnz17FiNGjLjiqlytVuP06dNBraVJ4YdXlH1s165dyM7ORkxMDJYuXYqKigpMmjQJH3/8MRobG/H3v/+9PSSB1qugDz/8EEeOHPEYkgAHXHvz7LPPdni+63K5sH79+iC1iMIVryj7wL/+9S+sWbMGe/bsQXNzMwRBwDXXXINFixbh0UcfhSgG5t+rnYeMWFNwHM62qR06SyUKUIsC8mdkRkxIAkBaWlr71frlRowYgfJy/28lEbkxKHvJ+fPnsWbNGrz11lswm80AgCFDhuChhx7CihUrEBvbsWBuIJwx27By91HsL6v1WYINQPv6nFFJWDczK+Leb25sbERtbS3efPNNLFu2DC+++CLuuOMOpKSkIDGx8/PmEHF4UAA1Nzfjd7/7HV5++WVUVlYCAPr164cHH3wQ+fn5GDZsWK+3YahBh22PZHPANYC4uDjExcXBYDAAAFJTU3HNNdcEuVUUjhiUPSRJEl577TW88MILOHLkCCRJgkajwdSpU7FmzRrccsstQWlXWkoc1s7IxFpkwmp3osJkhcMpQaMWFTfg2j2DZFRUVJBbQuFKOX8tAXbgwAHk5eWhqKgIDocDoiji2muvxZIlS/CTn/wkYM8dA0GvVSNzcHAnAwsmd4eOWs2vO3UPvzldUFlZiVWrVqGgoAD19fUAgGHDhuHRRx/F0qVLER3tfWoFCh73FaVK5f2VTSJfGJR+WCwWrFu3Dn/9619RVdVahcdgMOCxxx7D2rVrQ24eGerIHZS8oqTu4jfHA0mSsHXrVrz00ks4ceIEZFlGdHQ07rnnHuTl5WHcuHHBbiJ1Aa8oqadCKiiD3enw8ccf47nnnsOBAwfgdDohiiLGjx+PZcuWYdasWX3WDgosduZQTwU9KNuHsZTUwGj2MIzFoENuRjLmZKciLSXww1hKSkqwatUqvP/++7BYLABaByovWLAAv/jFL6DRaHp0/GCHP7W+Lgrw1pu6L2jfnM4MjJYBVJpt2FZciVc+r+j0wOiWlhbIsuw15C5duoRnnnkGr732GqqrqwEAycnJmD9/PlatWoWkpCSP+3VWsMOfrsRbb+qpoATl5a/aAfD7up17/cFyE6ZsLELejEzM9vKqXVVVFW655Rbccsst2LFjR/typ9OJzZs3409/+hNKS0sBAHq9HrNmzUJ+fn5ABiL3ZvhT97mrB/GKkrqrzwf7bS48heW7jsLulLo8F7NLkmF3Sli+6yg2F57qsP7ixYu47bbbUFlZiddffx2XLl1CQUEBJkyYgOjoaCxevBjl5eXIycnBe++9B4vFgjfffDMgIbnzkBFTNhbhYLmpva3+PgvwbfjvPGTscRvIM/Z6U0/16Tdn5yEjNnxU2mF5c+URVP9tpcd9Bs7bAO2Q0R2Wb/ioFANite1FHOrq6nD77bfj9OnTAFqvIFNSUtDS0gJBEDB69Gj84he/wIIFCwI+GHxz4SmPn6szXG0FLJbvOopaix0Lc9MC2jZiZw71XJ8F5RmzDWsKjvvcJu766dAMurJcmLr/IK/bry44jglXJ6G/RkJubi6OHz+O79b4WLZsGZ5++mnEx8d3v/E+eAt/N/uFMtR/9hrsZ09Adra0zllz3Z2Iv2FGh22/G/4UGLyipJ7qs2/Oyt1H259JeqMdmgn96ImdPqZTkvH41kLsz/8RrFZrh/UtLS342c9+1msh6S/8m07/CzVv5kOTcjX6TZgNQRMNZ90FuBprve7jDn8+swwcvsJIPdUn35xT1Y3YX+Y9HC4n2W0QorQ+Zwh0c0kyvr4EyHHJiJEuwOl0tg8FcXv33XexcOHCbrXbH1/hL9ltqH33RcRcPR4DZq6AIHTudt8pyVi5+yi2PZIdyKYqmrszh73e1F19EpQ7io1+ayMCgOm930N2NAGCCO3QTPTPnQ/tIN/P7EQBWPrnAuTNGAtZlmE2m1FZWQmj0YiqqirMmNHxFjcQ/IW/9cReSNY69L/1QQiCCMnRDCFK4zcwXZKM/WW1KKtpjNjyZ32Nzyipp/okKAtLanyHpCoKuowJiBl5A0RdP7TUGtHwz92o3vF/MXDu76AZeLXXXSUZ2Ft6EUDrtAmJiYlITEzs9dcM/YV/c8VhCFodnBYTanY9C6e5CkJUNPRjc2GY/BgEtfeB7CpRwPYvjBExp3YoYFBST/X68CCL3Qmj2eZzm+irxmDAzJWIvXYadGnZ6HfzDzHwwQ0ABFwqetXvOYwmG6x2p9/tAslf+LeYzwGSCxffegYxI8a1fr7vTYXl3++j9h+bfB7bJckoLK0JcIuVi+Moqad6PSgrTVZ0Z66JqP6DEZOWjWbjEciSy+e2MoAKU8fOnN7SmfCXW5oht9ihH3s7DFMXQJcxAYapCxB73Z2wfb0PLeYqn/sHI/wjFXu9qad6PSgdTqnb+6rjkwCXE3KLvVfP01WdCX/3rbV+zKQrluuvuQ0AYK866XP/vg7/SMagpJ7q9aDUqLt/CmfdBQhqDQSN/4K4PTlPV3UmlFWxrZNXqfQJVy7Xt1Yal5otATkP+cegpJ7q9XQZnqiH4Gcbl62+wzJHdTlsp/6J6OHf99tTLLSdp690JpTdHVDORtMVy52NrTMyqnT+p2boy/CPZO5nlKE0PQeFl17/J1avVSPVoEOlj2d6F/93PcQoDbRDxrT1ep+B5T8fQIjSov9tP/V7jtREXZ+WLnOHv6/bb/3oHDR88SYsRz5CzPBr25dbjnwEiCpoU7N8nqOvwz+Sua8oibqrT9IlNyMZ24orvfYS69JvgvX4XjT8838hOWxQ6fpBlz4B/Sb+GFH9fU+1oBIF5KYn90azvepM+GsGXg3996bCeuRjXJQkRKeORbPxKGwnP0P8zT+EOs73vNJ9Hf6RzH1FSdRdffKXOCc7Fa98XuF1ffwNMzy++9wZLknG3Jv6/t1of+EPAIl3PAF1/ABYjuyBrfRzqPsNQP/JjyF+/L0+jx2M8I9kvKKknuqToExLiUPOqCQcLDd1ubSaLypRwISRiUF5g8Vf+AOAoFIjYeJPkDDxJ106drDCP1IxKKmn+uzp9rqZWVCL/rp1ukYtClg30/ezvt7iDn9VgD+TShSQMyqJry8GEG+9qaf6LCiHGnTIC/ArefkzMoNaZSfSwj9SMSipp/p0vMTs8alYOi3d/4ad8NS0jKDXbYzE8I9ELpcLghDYf9BIWfp8YNnC3DT85v4saNVil29bVaIArVrE+vuz8ETuqF5qYddEWvhHIl5RUk8FZQTu7PGp2LN4EiaMbHt7xU9gutdPGJmIPYsnhVyYRFr4RxoGJfWUIH937oQ+1j61a2kNjCYPU7sm6pCbnoy5N6WGfAdHZ2ZhdHOv5yyMvW/q1Kn49NNP2ftN3Rb0oLyc1e5EhckKh1OCRi1ieKI+LAddR1L4R4LJkydj7969DErqtpAKykgUKeEfznJzc7Fv3z4GJXUb/2J7mV6rRuZg/wUwqPew15t6iuVUKOKxM4d6ikFJEU+SJF5RUo8wKCniMSipp/iMkjyKpE4o3npTT4XnN596RfuwppIaGM0ehjUZdMjNSMac7FSkpYTPsCZeUVJPcXgQRfxA+XHjxuHEiRNobm4OdlMoTPEZpcLtPGTElI1FOFjeOrePv3qh7vUHy02YsrEIOw8Ze72NPcVbb+op3nor2ObCU9jwUWm39nVJMlySjOW7jqLWYsfC3LQAty5weOtNPcWgVKidh4xeQ7L23Y2wHvvE675DnngF6rik9p83fFSKAbHakCtW4ibLMoOSeoRBqUBnzDasKTjudX3c9+9E9PDrvrNUhvnD/wd1v5QrQtJtdcFxTLg6KWSeWV64cAHr169HS0sLqqqq0NLSgiVLlkCtVuPhhx/GmDFjgt1ECiMMSgVaufsonD6eRWqHjIF2yJVB0nzmOOQWO/TX3OZxH6ckY+Xuo9j2SHYgm9ptlZWV2LRpE0RRbH9G+dJLL8HlciE1NZVBSV3CzhyFOVXdiP1ltV2e5M16ogiAAP01kzyud0ky9pfVoqymMQCt7Lkbb7wR48ePv+KW2+VyoV+/fnjooYeC2DIKRwxKhdlRbOxycWHZ5YTt5GfQXjUG6oQUr9upRAHbvwiNXnBBEJCfn39FxSBBELBy5UrExYXPGFAKDQxKhSksqeny1WTT6X9Bamrwetvt5pJkFJbW9KB1gXXHHXfguuuua/+5f//+eOKJJ4LXIApbDEoFsdidMJptXd7PeqIIENXQjZnod1ujyQar3dmd5gWcIAjIy8tr/3nVqlXQ6/VBbBGFKwalglSarOjqa1iSowlNp75AzIjvQxUT73d7GUCFydqt9vWG6dOnIyoqCoIgYMGCBcFuDoUp9noriMPZ9TdUbKVftPZ2Z97Wq+fpLTaHCzff/UNcqm9E+SUHhotRYVvcg4KH3xgF0ai7fgNhPbEXgiYGMWmdH/bTnfMEUofiHmN+AgD4wR8+C+viHhQ8DEoFGZ6ohwB0+vbbZatHc8Vh6MfcCjEqulP7CG3nCYbOFPeQAVSabdhWXIlXPq8Iq+IeFDx8Rqkgeq0aqV0IBOvX+wDJ1aXb7tREXVBubZVQ3IOCh0GpMLkZyZ0eR2k9vheiLsHD64yeqUQBuenJPWhd92wuPIXlu47C7pS6PPTJJcmwOyUs33UUmwtP9VILKdyxHqXCnKpuxNRN+3rt+HsW39qnc5XvPGTE8l1HPa6zXyhDXdFfYa/6GgCgHTwa/XMfhiZlpNfjrb8/K2SLe1Dw8IpSYdJS4pAzKqnLb+f4oxIF5IxK6tOQ9FXcw36hDNXbl8FZdwEJt/wY/W6ZjZZL53DhteVoMZ31eszVBcdxphtjTSmyMSgVaN3MLKgDHJRqUcC6mVkBPaY/vop71O/fDkGtwcAHNyA++370y56FgfN+B8gy6or+6vWY7uIeRJdjUCrQUIMOeTMyA3rM/BmZfdpz7K+4R/OZ44geft0Vg+TVsQZEDx0L2zf/hORo8rhfqBX3oNDAoFSo2eNTsXRaekCO9dS0jD5/ruevuIfsaoGg1nRYLkRpAZcTLRcrve4bSsU9KDQwKBVsYW4afnN/FrRqscvPLFWiAK1axPr7s/BE7qheaqF3/op7RBmugv1cCWTp2+pBsqsF9nMlAABno8nrvqFW3IOCj0GpcLPHp2LP4kmYMDIRAPwGpnv9hJGJ2LN4UlB6iDtT3CNu3N1wmqtgeu8lOGqNcFysQO27L8JluQQAkJ0On/uHUnEPCj6+mUMYatBh2yPZ3776V1oDo8nDvN6JOuSmJ2PuTal92rv9XZ0p7hH3/bvhbKhFQ/Gu9vl/NAPTEH/TLDQc/DtEje83jdzFPTIH9wtMoymsMSipXVpKHNbOyMRaZMJqd6LCZIXDKUGjFjE8UR8yxSQ6W3Sj/6QHEZ99P1ouVkLU6qFJHo5LRa8CANSGIQE7D0W+0PjmU8jRa9UhezXVlaIbquhYqIZ+28PfXHEYqrgkRCVeFdDzUGTjN4HCjru4R1dZv94Hx/lTiL9hBgTB91c/mMU9KPTwipLCjru4R6WPDp1m4zHUH/gbokd8H2JMPBznTsJyZA+iR16PuPH3+j1HsIp7UGjiN4HCUm5GMrYVV3odIqSKSwREEQ3FuyA5mqBOSEHCrfMQf+N9EESVz2MHq7gHhS4WxaCwFGnFPSi08RklhaVIKu5BoY9BSWErUop7UOhjUFLYioTiHhQeGJQU1sK9uAeFB3bmUETYeciINQXH4ZTkLk0HoRIFqEUB+TMyGZLkFYOSIkZnZmF0c6/nLIzUGQxKijjhUtyDwgeDkiJaKBf3oPDBoCQi8oO93kREfjAoiYj8YFASEfnBoCQi8oNBSUTkB4OSiMgPBiURkR8MSiIiPxiURER+MCiJiPxgUBIR+cGgJCLyg0FJROQHg5KIyA8GJRGRHwxKIiI/GJRERH4wKImI/GBQEhH5waAkIvKDQUlE5AeDkojIj/8P+t0w1zlOVEoAAAAASUVORK5CYII=",
|
|
"text/plain": [
|
|
"<Figure size 400x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import networkx as nx\n",
|
|
"import scipy\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"fix, ax = plt.subplots(1, 1,figsize=(4,4))\n",
|
|
"G = nx.DiGraph(np.array(matrix))\n",
|
|
"layout = nx.kamada_kawai_layout(G)\n",
|
|
"nx.draw(G, with_labels=True, ax=ax, pos=layout)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "dd40ad4f-28a5-46ea-acbe-87ab1d6bec60",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.10.2"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|