{
"cells": [
{
"cell_type": "markdown",
"id": "83c2b1e7-b401-4a15-adf0-d43cebf9ad81",
"metadata": {},
"source": [
"# Projet algorithme # \n"
]
},
{
"cell_type": "markdown",
"id": "0b4f92e5-ac40-4491-983d-890c4f0f6694",
"metadata": {},
"source": [
"## Contexte du projet: \n"
]
},
{
"cell_type": "markdown",
"id": "5f483b31-1246-4f00-ae39-718ef92ce9eb",
"metadata": {},
"source": [
"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."
]
},
{
"cell_type": "markdown",
"id": "fc23daaf-9f25-4c5a-bf6c-300a7ed8d623",
"metadata": {},
"source": [
"Notre but est de réaliser un algorithme permettant de passer par tous les points de livraisons avec un temps optimisé."
]
},
{
"cell_type": "markdown",
"id": "d633beb7-8f26-46d4-9cd9-1d0093e5b5c3",
"metadata": {},
"source": [
"## Contrainte :\n"
]
},
{
"cell_type": "markdown",
"id": "35fc1c3c-d7a9-4423-a948-aa00ab51dbf4",
"metadata": {},
"source": [
"Les contraintes que nous avons choisi sont les suivantes:\n",
"- Avoir plusieurs camions disponible simultanément pour effectuer les livraisons.\n",
"- Fenêtre de temps de livraison pour chaque object\n"
]
},
{
"cell_type": "markdown",
"id": "ba356166-604a-4627-ac0f-93b76eb7a22d",
"metadata": {},
"source": [
"## Formulation du problème"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "c4d6888b-14e6-4745-880f-0a063ebf7476",
"metadata": {},
"source": [
"Le problème que nous avons avec les contraintes ci-dessus est le problème VRPTW (Vehicule Routing Problem avec la contrainte supplémentaire de Time Window).\n",
"\n",
"- Tous les clients doivent être déservis\n",
"- Un client ne peut être servi que par un et un seul véhicule.\n",
"- En quittant un client, un véhicule peut aller que vers un seul autre client.\n",
"- Un véhicule ne peut servir un client que s'il a assez de capacité pour servir le client.\n",
"\n",
"On va donc affecter chaque client à une tournée effectué par un seul véhicule.\n",
"\n",
"e.\n",
"\n",
"\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "3346ae96-1c36-4e9d-9480-3ab4657c7d68",
"metadata": {},
"source": [
"## Objectifs\n"
]
},
{
"cell_type": "markdown",
"id": "50a3e56e-3bdc-4f2c-a811-8433ffeb2a34",
"metadata": {},
"source": [
"L'objectif de notre algorithme est de calculer et de fournir les meilleurs itinéraires pour pouvoir livrer tout les clients avec le nombre de camion disponible. \n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "dbd49849-988e-4915-8e28-e00085f4b97e",
"metadata": {},
"source": [
"Il est possible de minimiser le nombre de camion nécessaire en optimisant les trajets et leurs temps.\n",
"Il faut donc pour cela minimiser le temps de chaque parcours."
]
},
{
"cell_type": "markdown",
"id": "16b3b8a7-4658-4509-a511-7a395654e6f1",
"metadata": {},
"source": [
"## Modélisation mathématique"
]
},
{
"cell_type": "markdown",
"id": "286caeb7-26cb-486a-b5f0-94a3f24811fd",
"metadata": {},
"source": [
"Nous allons représenter notre problème par un graphe
\n",
"$G=(V,E)$\n",
"\n",
"$V$ représente les sommets du graphe qui correspondent aux clients\n",
"\n",
"$E$ représente les arcs entre deux clients $i,j \\in V$\n",
"\n",
"\n",
"\n",
"On a un ensemble $C=\\{1,2,...,n_c\\}$ de clients qui doivent obtenir leur livraison qui provient du dépot.\n",
"\n",
"\n",
"L'ensemble des emplacements des clients est défini comme :\n",
"$V = C \\cup \\{0, n_c+1\\} $\n",
"\n",
"$0$ et $n_c+1$ représente le dépot, puisqu'on doit revenir au point de départ le dépots est le dernier client plus un. \n",
"\n",
"\n",
"On a un ensemble $V=\\{1,2,...,n_v\\}$ de véhicule disponible et chaque véhicule possède une capacité $Q$.\n",
"\n",
"\n",
"\n",
"# Variables de décisions: \n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "5a3512bc-02da-4e2d-b8f6-65e70c3fe686",
"metadata": {},
"source": [
"Variables de décision:\n",
"- Un ensemble de k véhicule\n"
]
},
{
"cell_type": "markdown",
"id": "7670fdf4-884c-4352-83fa-eed0c8b50074",
"metadata": {},
"source": [
"# Initialisation de la matrice"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "337db031-2e38-4b6d-9d57-74e277d7f033",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[0 0 0 ... 0 0 0]\n",
" [0 0 0 ... 0 0 0]\n",
" [0 0 0 ... 0 0 0]\n",
" ...\n",
" [0 0 0 ... 0 0 1]\n",
" [0 0 0 ... 0 0 0]\n",
" [0 0 0 ... 1 0 0]]\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import random\n",
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"def generate_graph(num_nodes):\n",
" # Créer un graphe vide\n",
" G = nx.Graph()\n",
" # Ajouter les sommets au graphe\n",
" G.add_nodes_from(range(1, num_nodes + 1))\n",
" # Ajouter au moins deux arêtes par sommet\n",
" for node in G.nodes():\n",
" connected_nodes = sorted(set(G.nodes()) - {node}) # Exclure le sommet lui-même et trier les nœuds\n",
" distance1 = random.randint(1,10) \n",
" distance2 = random.randint(1,10)\n",
" random_nodes = random.sample(connected_nodes, 2)\n",
" G.add_edges_from([(node, random_nodes[0], {'distance': distance1}), \n",
" (node, random_nodes[1], {'distance': distance2})])\n",
" # Ajouter des arêtes supplémentaires de manière aléatoire\n",
" while not nx.is_connected(G):\n",
" node1, node2 = random.sample(G.nodes(), 2)\n",
" if not G.has_edge(node1, node2):\n",
" distance = random.randint(1,10)\n",
" G.add_edge(node1, node2, distance=distance)\n",
" return G\n",
"\n",
"graph = generate_graph(100)\n",
"A = nx.adjacency_matrix(graph).todense()\n",
"\n",
"\n",
" \n",
"\n",
"\n",
"print(A)\n",
"\n",
"# Dessiner le graphe\n",
"nx.draw(graph, with_labels=True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "0bcb13e3-9f98-4601-8140-8a2147757aed",
"metadata": {},
"source": [
"Définition des données du problème VRPTW"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "8266e414-d350-4101-8f15-9cc05ee02934",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100\n",
"Client 0 : (0, inf)\n",
"Client 0 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 1 : (88, 128)\n",
"Client 1 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 2 : (5, 31)\n",
"Client 2 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 3 : (73, 107)\n",
"Client 3 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 4 : (81, 97)\n",
"Client 4 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 5 : (33, 75)\n",
"Client 5 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 6 : (87, 98)\n",
"Client 6 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 7 : (37, 56)\n",
"Client 7 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 8 : (26, 49)\n",
"Client 8 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 9 : (31, 78)\n",
"Client 9 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 10 : (21, 59)\n",
"Client 10 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 11 : (68, 91)\n",
"Client 11 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 12 : (24, 49)\n",
"Client 12 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 13 : (60, 83)\n",
"Client 13 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 14 : (6, 53)\n",
"Client 14 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 15 : (93, 128)\n",
"Client 15 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 16 : (55, 81)\n",
"Client 16 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 17 : (99, 128)\n",
"Client 17 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 18 : (31, 49)\n",
"Client 18 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 19 : (49, 97)\n",
"Client 19 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 20 : (94, 104)\n",
"Client 20 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 21 : (99, 113)\n",
"Client 21 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 22 : (52, 94)\n",
"Client 22 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 23 : (85, 97)\n",
"Client 23 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 24 : (35, 61)\n",
"Client 24 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 25 : (29, 56)\n",
"Client 25 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 26 : (33, 78)\n",
"Client 26 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 27 : (54, 66)\n",
"Client 27 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 28 : (92, 128)\n",
"Client 28 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 29 : (46, 85)\n",
"Client 29 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 30 : (15, 44)\n",
"Client 30 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 31 : (63, 91)\n",
"Client 31 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 32 : (94, 123)\n",
"Client 32 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 33 : (36, 80)\n",
"Client 33 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 34 : (97, 122)\n",
"Client 34 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 35 : (40, 76)\n",
"Client 35 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 36 : (69, 96)\n",
"Client 36 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 37 : (30, 67)\n",
"Client 37 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 38 : (21, 64)\n",
"Client 38 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 39 : (22, 41)\n",
"Client 39 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 40 : (11, 51)\n",
"Client 40 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 41 : (74, 94)\n",
"Client 41 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 42 : (53, 101)\n",
"Client 42 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 43 : (22, 41)\n",
"Client 43 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 44 : (15, 40)\n",
"Client 44 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 45 : (58, 76)\n",
"Client 45 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 46 : (6, 41)\n",
"Client 46 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 47 : (12, 27)\n",
"Client 47 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 48 : (59, 91)\n",
"Client 48 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 49 : (98, 109)\n",
"Client 49 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 50 : (53, 94)\n",
"Client 50 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 51 : (73, 100)\n",
"Client 51 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 52 : (26, 45)\n",
"Client 52 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 53 : (8, 24)\n",
"Client 53 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 54 : (46, 72)\n",
"Client 54 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 55 : (94, 111)\n",
"Client 55 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 56 : (2, 27)\n",
"Client 56 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 57 : (40, 59)\n",
"Client 57 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 58 : (26, 37)\n",
"Client 58 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 59 : (94, 114)\n",
"Client 59 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 60 : (50, 74)\n",
"Client 60 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 61 : (60, 96)\n",
"Client 61 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 62 : (1, 28)\n",
"Client 62 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 63 : (96, 123)\n",
"Client 63 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 64 : (59, 98)\n",
"Client 64 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 65 : (54, 94)\n",
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"Client 66 : (0, 10)\n",
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"Client 67 : (62, 105)\n",
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"Client 68 : (97, 126)\n",
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"Client 69 : (86, 132)\n",
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"Client 70 : (2, 22)\n",
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"Client 71 : (93, 118)\n",
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"Client 72 : (75, 116)\n",
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"Client 73 : (74, 98)\n",
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"Client 74 : (89, 129)\n",
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"Client 75 : (53, 83)\n",
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"Client 76 : (39, 77)\n",
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"Client 77 : (88, 111)\n",
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"Client 78 : (62, 100)\n",
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"Client 79 : (27, 66)\n",
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"Client 80 : (27, 73)\n",
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"Client 81 : (60, 98)\n",
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"Client 82 : (52, 77)\n",
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"Client 83 : (24, 63)\n",
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"Client 84 : (95, 110)\n",
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"Client 85 : (81, 118)\n",
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"Client 86 : (78, 113)\n",
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"Client 87 : (58, 105)\n",
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"Client 88 : (31, 61)\n",
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"Client 89 : (6, 47)\n",
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"Client 90 : (79, 89)\n",
"Client 90 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 91 : (54, 94)\n",
"Client 91 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 92 : (34, 55)\n",
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"Client 93 : (58, 103)\n",
"Client 93 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 94 : (57, 79)\n",
"Client 94 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 95 : (70, 114)\n",
"Client 95 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 96 : (75, 86)\n",
"Client 96 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
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"Client 98 : (61, 108)\n",
"Client 98 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n",
"Client 99 : (96, 108)\n",
"Client 99 : {1: 5, 2: 10, 3: 3, 4: 7, 5: 3, 6: 5, 7: 9, 8: 1, 9: 10, 10: 3, 11: 9, 12: 6, 13: 5, 14: 10, 15: 1, 16: 7, 17: 9, 18: 8, 19: 10, 20: 9, 21: 3, 22: 10, 23: 6, 24: 3, 25: 9, 26: 9, 27: 10, 28: 8, 29: 3, 30: 10, 31: 6, 32: 2, 33: 3, 34: 6, 35: 10, 36: 4, 37: 10, 38: 9, 39: 10, 40: 2, 41: 5, 42: 4, 43: 3, 44: 6, 45: 5, 46: 10, 47: 3, 48: 9, 49: 5, 50: 1, 51: 7, 52: 2, 53: 5, 54: 7, 55: 4, 56: 4, 57: 4, 58: 9, 59: 8, 60: 4, 61: 10, 62: 9, 63: 6, 64: 1, 65: 6, 66: 9, 67: 10, 68: 4, 69: 2, 70: 4, 71: 2, 72: 3, 73: 9, 74: 3, 75: 1, 76: 8, 77: 10, 78: 9, 79: 2, 80: 4, 81: 1, 82: 4, 83: 9, 84: 10, 85: 3, 86: 1, 87: 3, 88: 8, 89: 8, 90: 9, 91: 8, 92: 8, 93: 6, 94: 5, 95: 9, 96: 8, 97: 6, 98: 3, 99: 10, 100: 5}\n"
]
}
],
"source": [
"#k Nombre de camion disponible\n",
"k = 4\n",
"\n",
"#Q capacité de marchandise de chaque camion\n",
"Q = 10\n",
"\n",
"# Implémentez les étapes 1 à 6 de l'algorithme ACO ici\n",
"\n",
"# 1. Définir les données du problème VRPTW\n",
"# Votre code pour attribuer les demandes et les fenêtres de temps aux clients\n",
"# Attribuer des fenêtres de temps aux clients\n",
"def assign_time_windows(graph):\n",
" # Créer un dictionnaire pour stocker les fenêtres de temps des clients\n",
" time_windows = {}\n",
"\n",
" # Définir la fenêtre de temps pour le dépôt central (nœud 0)\n",
" time_windows[0] = (0, float('inf'))\n",
"\n",
" # Assigner une fenêtre de temps à chaque client\n",
" for node in graph.nodes():\n",
" if node !=0 and node !=100 :\n",
" # Générer une fenêtre de temps aléatoire pour chaque client\n",
" start_time = random.randint(0, 100)\n",
" end_time = start_time + random.randint(10, 50)\n",
" time_windows[node] = (start_time, end_time)\n",
"\n",
" return time_windows\n",
"\n",
"# Attribuer les fenêtres de temps aux clients\n",
"time_windows = assign_time_windows(graph)\n",
"\n",
"print(max(graph.nodes()))\n",
"# Afficher les fenêtres de temps assignées\n",
"for node, window in time_windows.items():\n",
" print(\"Client\", node, \":\", window)\n",
" \n",
"\n",
" \n",
"\n",
"\n",
"\n",
"# 3. Initialiser la matrice de phéromones\n",
"# Votre code pour initialiser la matrice de phéromones\n",
"\n",
"# 4. Implémenter la fonction de construction de la solution par une fourmi\n",
"# V\n",
"\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "4fcc61cf-b917-4d41-b7c4-e79ffc0c7bcd",
"metadata": {},
"source": [
"# Définition de l'algorithme des fourmis"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "5a55bfc8-a5b5-4b25-b924-ee906b7b3d7e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Meilleure solution : [0, 0]\n",
"Coût de la meilleure solution : 0\n"
]
}
],
"source": [
"# 2. Définir les paramètres de l'algorithme ACO\n",
"num_ants = 10 # Nombre de fourmis\n",
"num_iterations = 100 # Nombre d'itérations\n",
"\n",
"# 3. Initialiser la matrice de phéromones\n",
"pheromones = 0.1 * np.ones((num_nodes, num_nodes)) # Matrice de phéromones initiale\n",
"\n",
"# 4. Implémenter la fonction de construction de la solution par une fourmi\n",
"def construct_solution(pheromones, visibility, demands, time_windows):\n",
" solutions = []\n",
" costs = []\n",
" for ant in range(num_ants):\n",
" current_node = 0 # Dépôt central\n",
" unvisited_nodes = set(range(1, num_nodes)) # Tous les clients non visités\n",
" path = [current_node]\n",
" current_time = 0\n",
" current_capacity = Q\n",
"\n",
" # Construction du chemin de la fourmi\n",
" while unvisited_nodes:\n",
" feasible_nodes = []\n",
" feasible_probabilities = []\n",
" for next_node in unvisited_nodes:\n",
" if current_node != 0 and next_node != 0 and 'distance' in graph.edges[current_node, next_node]:\n",
" if current_time + graph.edges[current_node, next_node]['distance'] <= time_windows[next_node][1] and \\\n",
" current_capacity >= demands[next_node]:\n",
" feasible_nodes.append(next_node)\n",
" probability = pheromones[current_node][next_node] ** pheromone_importance \\\n",
" * visibility[current_node][next_node] ** distance_importance\n",
" feasible_probabilities.append(probability)\n",
" if feasible_nodes:\n",
" feasible_probabilities = np.array(feasible_probabilities)\n",
" feasible_probabilities /= np.sum(feasible_probabilities)\n",
" next_node = random.choices(feasible_nodes, weights=feasible_probabilities)[0]\n",
" current_node = next_node\n",
" path.append(next_node)\n",
" unvisited_nodes.remove(next_node)\n",
" current_time += graph.edges[current_node, next_node]['distance']\n",
" current_capacity -= demands[next_node]\n",
" else:\n",
" break\n",
"\n",
" # Ajout du retour au dépôt central\n",
" path.append(0)\n",
"\n",
" # Calcul du coût du chemin\n",
" cost = sum(A[path[i]][path[i + 1]] for i in range(len(path) - 1))\n",
"\n",
" solutions.append(path)\n",
" costs.append(cost)\n",
"\n",
" return solutions, costs\n",
"\n",
"# 5. Mettre à jour les phéromones\n",
"def update_pheromones(pheromones, solutions, costs):\n",
" for solution, cost in zip(solutions, costs):\n",
" for i in range(len(solution) - 1):\n",
" current_node = solution[i]\n",
" next_node = solution[i + 1]\n",
" if cost != 0:\n",
" pheromones[current_node][next_node] += 1 / cost\n",
" return pheromones\n",
"\n",
"# 6. Répéter les étapes 4 et 5 pour un nombre donné d'itérations\n",
"best_solution = None\n",
"best_cost = float('inf')\n",
"\n",
"for iteration in range(num_iterations):\n",
" # Construction des solutions par les fourmis\n",
" solutions, costs = construct_solution(pheromones, visibility, demands, time_windows)\n",
"\n",
" # Mise à jour des phéromones\n",
" pheromones = update_pheromones(pheromones, solutions, costs)\n",
"\n",
" # Recherche de la meilleure solution\n",
" best_index = np.argmin(costs)\n",
" if costs[best_index] < best_cost:\n",
" best_solution = solutions[best_index]\n",
" best_cost = costs[best_index]\n",
"\n",
"# Affichage de la meilleure solution trouvée\n",
"print(\"Meilleure solution :\", best_solution)\n",
"print(\"Coût de la meilleure solution :\", best_cost)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "301fb5e8-9804-4592-9193-5915f1b9ecad",
"metadata": {},
"outputs": [],
"source": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"import random\n",
"import numpy as np\n",
"\n",
"# Fonction d'évaluation de la qualité d'une solution (ici, la distance totale)\n",
"def evaluate_solution(solution, distances):\n",
" total_distance = 0\n",
" num_nodes = len(solution)\n",
"\n",
" for i in range(num_nodes - 1):\n",
" current_node = solution[i]\n",
" next_node = solution[i + 1]\n",
" total_distance += distances[current_node][next_node]\n",
"\n",
" # Ajouter la distance de retour au dépôt\n",
" total_distance += distances[solution[-1]][solution[0]]\n",
"\n",
" return total_distance\n",
"\n",
" \n",
"# Algorithme ACO\n",
"def ant_colony_optimization(distances, num_ants, num_iterations, evaporation_rate, alpha, beta):\n",
" num_nodes = len(distances)\n",
" pheromone = np.ones((num_nodes, num_nodes)) # Matrice de phéromones initiale\n",
" best_solution = None\n",
" best_distance = float('inf')\n",
"\n",
" for iteration in range(num_iterations):\n",
" # Construction de solutions par les fourmis\n",
" solutions = []\n",
"\n",
" for ant in range(num_ants):\n",
" visited = set()\n",
" current_node = random.randint(0, num_nodes - 1)\n",
" visited.add(current_node)\n",
" solution = [current_node]\n",
"\n",
" while len(visited) < num_nodes:\n",
" next_node = None\n",
" probabilities = []\n",
"\n",
" # Calcul des probabilités de choisir chaque prochain nœud\n",
" for node in range(num_nodes):\n",
" if node not in visited:\n",
" pheromone_value = pheromone[current_node][node]\n",
" distance_value = distances[current_node][node]\n",
" probability = (pheromone_value ** alpha) * ((1 / distance_value) ** beta)\n",
" probabilities.append((node, probability))\n",
"\n",
" total_probability = sum(prob for _, prob in probabilities)\n",
" probabilities = [(node, prob / total_probability) for node, prob in probabilities]\n",
"\n",
" # Choix du prochain nœud basé sur les probabilités\n",
" roulette_wheel = random.random()\n",
" probability_sum = 0\n",
"\n",
" for node, probability in probabilities:\n",
" probability_sum += probability\n",
" if probability_sum >= roulette_wheel:\n",
" next_node = node\n",
" break\n",
"\n",
" visited.add(next_node)\n",
" solution.append(next_node)\n",
" current_node = next_node\n",
"\n",
" solutions.append(solution)\n",
"\n",
" # Évaluation des solutions et mise à jour de la meilleure solution\n",
" for solution in solutions:\n",
" distance = evaluate_solution(solution, distances)\n",
" if distance < best_distance:\n",
" best_solution = solution\n",
" best_distance = distance\n",
"\n",
" # Mise à jour des phéromones\n",
" pheromone *= evaporation_rate # Évaporation des phéromones existantes\n",
"\n",
" for solution in solutions:\n",
" delta_pheromone = 1 / evaluate_solution(solution, distances)\n",
" for i in range(num_nodes - 1):\n",
" node1 = solution[i]\n",
" node2 = solution[i + 1]\n",
" pheromone[node1][node2] += delta_pheromone\n",
" pheromone[node2][node1] += delta_pheromone\n",
"\n",
" return best_solution, best_distance\n",
"\n",
"# Exemple d'utilisation\n",
"distances = [[0, 2, 9, 10],\n",
" [2, 0, 6, 4],\n",
" [9, 6, 0, 8],\n",
" [10, 4, 8, 0]]\n",
"\n",
"num_ants = 10\n",
"num_iterations = 100\n",
"evaporation_rate = 0.5\n",
"alpha = 1\n",
"beta = 1\n",
"\n",
"best_solution, best_distance = ant_colony_optimization(distances, num_ants, num_iterations, evaporation_rate, alpha, beta)\n",
"\n",
"print(\"Meilleure solution :\", best_solution)\n",
"print(\"Distance totale :\", best_distance)"
]
}
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