1182 lines
641 KiB
Plaintext
1182 lines
641 KiB
Plaintext
{
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"cells": [
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{
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"attachments": {},
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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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"# **Project Algorithmique avancée** # \n"
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]
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},
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{
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"attachments": {},
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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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"## <u>Contexte du projet </u>\n"
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]
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},
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{
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"attachments": {},
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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 pour promouvoir de nouvelles solutions de mobilité. CesiCDP, avec son équipe de 4 personnes, répond à cet appel en se concentrant sur la gestion des tournées de livraison. L'objectif est de minimiser la durée totale de la tournée en tenant compte des contraintes de trafic et autres. Un financement attractif est en jeu pour développer l'activité de CesiCDP. L'ajout de contraintes supplémentaires au problème rendra l'étude plus réaliste et plus difficile à résoudre, mais démontrera l'expertise de l'équipe."
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]
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},
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{
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"attachments": {},
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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 objectif est de développer un algorithme qui nous permettra de passer par tous les points de livraison dans un temps optimisé."
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]
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},
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{
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"attachments": {},
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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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"## <u>Contraintes choisies </u>\n"
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]
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},
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{
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"attachments": {},
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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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"La contrainte que nous avons choisie est la suivante :\n",
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"\n",
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"- Avoir plusieurs camions disponibles simultanément pour effectuer les livraisons."
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]
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},
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{
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"attachments": {},
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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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"## <u>Formulation du problème </u>"
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]
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},
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{
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"attachments": {},
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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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"Considérons un graphe G=(V,E), où V est l'ensemble des villes (ou points de livraison) et E est l'ensemble des routes entre les villes. Il y a k camions disponibles pour effectuer les livraisons.\n",
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"\n",
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"Le problème consiste à trouver un itinéraire pour chaque camion, de sorte que toutes les livraisons soient effectuées dans le temps le plus court possible, à la fois vers et depuis l'entrepôt.\n",
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"\n",
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"Le problème que nous avons avec les contraintes mentionnées ci-dessus est le VRP (Problème de Routage des Véhicules)."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "6d392f68",
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"metadata": {},
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"source": [
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"## <u> Contraintes du problème </u>"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "f95dba22",
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"metadata": {},
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"source": [
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"Liste des contraintes du problème :\n",
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"\n",
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"- Tous les clients doivent être servis\n",
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"- Un client ne peut être servi que par un seul véhicule.\n",
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"- En quittant un client, un véhicule ne peut se rendre que chez un seul autre client.\n",
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"\n",
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"Nous allons donc affecter chaque client à une route desservie par un seul véhicule."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "c1ca5507",
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"metadata": {},
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"source": [
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"## <u>Démonstration de la complexité du problème de routage des véhicules (VRP) </u>"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "37632b4b",
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"metadata": {},
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"source": [
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"#### **Introduction**\n",
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"\n",
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"Le problème du routage des véhicules (VRP) est une extension du problème du voyageur de commerce (TSP), et est connu pour être un problème NP-hard. Nous démontrerons la complexité du VRP en nous basant sur le problème de la chaîne hamiltonienne, qui est connu pour être NP-complet."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "6a63522a",
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"metadata": {},
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"source": [
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"#### **Définitions préliminaires**\n",
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"\n",
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"- Problème de la chaîne hamiltonienne** : le problème consiste à déterminer si un graphe non orienté donné possède une chaîne hamiltonienne, c'est-à-dire un chemin qui visite chaque sommet exactement une fois.\n",
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"\n",
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"- Problème du voyageur de commerce (TSP)** : le problème consiste à trouver le circuit le plus court possible qui visite chaque ville d'un ensemble donné de villes et revient à la ville d'origine.\n",
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"\n",
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"- Vehicle Routing Problem (VRP)** : le problème consiste à livrer une série de clients avec plusieurs véhicules tout en minimisant le coût total, tel que le temps de livraison ou la distance parcourue."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "589a1874",
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"metadata": {},
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"source": [
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"#### **Preuve de la complexité du TSP**.\n",
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"\n",
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"Le TSP est une extension du problème de la chaîne hamiltonienne. En fait, un cas particulier du TSP est le problème de la chaîne hamiltonienne, dans lequel toutes les arêtes ont le même poids (ou coût). Dans ce cas, trouver le circuit le plus court dans le TSP est équivalent à trouver une chaîne hamiltonienne dans le graphe. Comme le problème de la chaîne hamiltonienne est NP-complet, le TSP doit être au moins aussi difficile, et le TSP est donc NP-complet."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "92658e81",
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"metadata": {},
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"source": [
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"#### **Preuve de la complexité du VRP**.\n",
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"\n",
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"Le VRP est une extension du TSP. En fait, un cas particulier du VRP est le TSP où il n'y a qu'un seul véhicule disponible pour effectuer les livraisons. Dans ce cas, trouver la solution du VRP revient à trouver la solution du TSP.\n",
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"\n",
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"Puisque le TSP est NP-complet, le VRP doit être au moins aussi difficile, donc le VRP est NP-difficile. En outre, le VRP introduit des contraintes supplémentaires, telles que des véhicules multiples et potentiellement des capacités de véhicules et des fenêtres temporelles, ce qui le rend encore plus complexe."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "a4106346",
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"metadata": {},
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"source": [
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"#### **Conclusion**\n",
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"\n",
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"En conclusion, nous avons montré que le VRP est un problème NP-hard en le réduisant au problème NP-complet TSP, qui à son tour peut être réduit au problème NP-complet de la chaîne hamiltonienne. Cette démonstration met en évidence la difficulté de résoudre le VRP, en particulier pour les instances de grande taille. En pratique, des méthodes (méta)heuristiques et approximatives sont souvent utilisées pour résoudre le VRP, comme nous le verrons plus loin."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "16b3b8a7-4658-4509-a511-7a395654e6f1",
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"metadata": {},
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"source": [
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"## <u>Modélisation mathématique </u>"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "b54bfa8c",
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"metadata": {},
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"source": [
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"#### **Ensemble et paramètres**"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "637eb295",
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"metadata": {},
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"source": [
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"$V=\\{0,1,2,...,n_v\\}$ : l'ensemble des villes, où 0 est la base (ou le dépôt), $1,2,...,n_v$ sont les villes de livraison. $n_v+1$ sera le dépôt pour le retour. <br>\n",
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"$K=\\{1,2,...,k\\}$ : tous les camions. <br>\n",
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"$E$ représente les arcs entre deux clients $i,j \\in V$ <br>\n",
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"$G=(V,E)$ : le graphe avec V comme sommets (villes) et E comme arêtes <br>\n",
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"$d_{ij}$ : distance (ou temps de déplacement) entre la ville i et la ville $j$ (coût du déplacement) <br>\n",
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"$M$ : une grande constante."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "1219e4f2",
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"metadata": {},
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"source": [
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"#### **Variables de décision**"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "a6d398fa",
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"metadata": {},
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"source": [
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"$x_{ijk}$ : binary variable worth 1 if truck $k$ moves from city $i$ to city $j$, and 0 otherwise."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "e635cf14",
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"metadata": {},
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"source": [
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"#### **Fonction objective**"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "56652859",
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"metadata": {},
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"source": [
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"$$\\min \\sum_{k∈K} \\sum_{i∈V} \\sum_{j∈V} d_{ij} x_{ijk} $$"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "a1465000",
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"metadata": {},
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"source": [
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"#### **Contraintes VRP**\n",
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"\n",
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"- Chaque ville est visitée une fois et une seule :\n",
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"$$\\sum_{k \\in K} \\sum_{j \\in V} x_{ijk} = 1, \\forall i \\in V, i \\ne 0$$\n",
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"\n",
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"- Si un camion visite une ville, il doit la quitter :\n",
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"$$\\sum_{i \\in V} x_{ijk} = \\sum_{j \\in V} x_{ijk}, \\forall k \\in K, \\forall i \\in V, \\forall j \\in V $$\n",
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"<br> \n",
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"\n",
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"- Contrainte d'élimination des tournées partielles (pour garantir que chaque camion effectue une tournée complète) :\n",
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"$$\\sum_{i \\in S, j \\notin S} x_{ijk} \\geq 1, \\forall k \\in K, \\forall \\; sous-ensemble \\; S \\; de \\; V, 0 \\in S, S \\ne V $$"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "0833096d",
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||
"metadata": {},
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"source": [
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"#### **Contraintes VRPTW**\n",
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"\n",
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"- Chaque ville est visitée une et une seule fois :\n",
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"$$\\sum_{k \\in K} \\sum_{j \\in V}x_{ijk} = 1, \\forall i \\in V, i \\ne 0 $$\n",
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"\n",
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"- Si un camion visite une ville, il doit la quitter :\n",
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"∑𝑖∈𝑉𝑥𝑖𝑗𝑘=∑𝑗∈𝑉𝑥𝑖𝑗𝑘, ∀𝑘∈𝐾, ∀𝑖∈𝑉, ∀𝑗∈𝑉\n",
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"\n",
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"- Contrainte d'élimination des sous-tours (pour s'assurer que chaque camion effectue un tour complet) :\n",
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"∑𝑖∈𝑆,𝑗∉𝑆𝑥𝑖𝑗𝑘≥1, ∀𝑘∈𝐾, ∀𝑠𝑢𝑏𝑠𝑒𝑡𝑆𝑑𝑒𝑉, 0∈𝑆, 𝑆≠𝑉\n",
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"\n",
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"- Chaque camion arrive dans la fenêtre temporelle de chaque ville :\n",
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"a_ik + t_ij ≤ a_jk + M(1 - x_ijk), ∀k∈K, ∀(i, j)∈A, ∀a_ik ∈ [e_i, l_i]\n",
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"\n",
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"- Chaque camion quitte la ville après le temps de service :\n",
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"a_ik + s_i = d_ik, ∀k∈K, ∀i∈V, ∀a_ik ∈ [e_i, l_i]\n",
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"\n",
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"Remarque :\n",
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"Ici, a_ik est l'heure d'arrivée du véhicule k au nœud i, t_ij est le temps de trajet du nœud i au nœud j, M est un grand nombre positif, x_ijk est une variable binaire qui vaut 1 si le véhicule k se déplace du nœud i au nœud j et 0 sinon, e_i est l'heure à laquelle un service peut commencer au plus tôt au nœud i, l_i est l'heure à laquelle un service peut commencer au plus tard au nœud i, et s_i est le temps de service au nœud i.\n",
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"\n",
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"Ces contraintes tiennent compte non seulement de la nécessité de visiter chaque ville une fois, mais aussi de l'obligation d'arriver et de partir dans des fenêtres de temps spécifiques, ce qui rend le problème plus complexe que le VRP standard."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "7670fdf4-884c-4352-83fa-eed0c8b50074",
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"metadata": {},
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"source": [
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"## <u>Resolution algorithm</u>"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "5160fa32",
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"metadata": {},
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"source": [
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"Dans le cadre de notre projet, nous avons envisagé d'adopter trois algorithmes heuristiques distincts pour résoudre notre problème d'optimisation de trajet entre les villes. Notre objectif est de les comparer afin de déterminer celui qui nous fournira l'itinéraire le plus proche de l'optimal. Les trois algorithmes que nous allons mettre en œuvre sont les suivants :\n",
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"\n",
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"- L'algorithme des colonies de fourmis\n",
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"- L'algorithme du recuit simulé\n",
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"- L'algorithme des essaims particulaires\n",
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"\n",
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"Nous examinerons ensuite leur mise en œuvre et leur fonctionnement pour évaluer leur performance."
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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"id": "45133ac2",
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"metadata": {},
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"source": [
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"### Algorithme par colonies de fourmis"
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]
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},
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{
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||
"attachments": {},
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"cell_type": "markdown",
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||
"id": "3e2ce1cf",
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||
"metadata": {},
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||
"source": [
|
||
"L'algorithme par colonies de fourmis est une approche inspirée du comportement des fourmis dans la recherche de chemins optimaux. En utilisant des heuristiques et des phéromones, cet algorithme permet de résoudre des problèmes d'optimisation de manière efficace."
|
||
]
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||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 30,
|
||
"id": "169697f4",
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||
"metadata": {},
|
||
"outputs": [],
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||
"source": [
|
||
"# Variables to edit:\n",
|
||
"nb_ville = 100\n",
|
||
"max_coords = 1000\n",
|
||
"nb_truck = 4\n",
|
||
"max_time = 4\n",
|
||
"nb_ants = 10\n",
|
||
"alpha = 1\n",
|
||
"beta = 6\n",
|
||
"evaporation = 0.5\n",
|
||
"intensification = 2"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 31,
|
||
"id": "794657d7",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"---- TIME ----\n",
|
||
"Generate cities time: 0.0\n",
|
||
"Split cities time: 0.04548168182373047\n",
|
||
"\n",
|
||
"---- CLUSTER ----\n",
|
||
"Total distance for cluster 1 (24 cities) : 2315.875564700583\n",
|
||
"Total distance for cluster 2 (27 cities) : 2161.8716667459307\n",
|
||
"Total distance for cluster 3 (28 cities) : 2309.9191397305735\n",
|
||
"Total distance for cluster 4 (28 cities) : 2261.7683336604277\n",
|
||
"Total distance for all clusters: 9049.434704837515\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Import necessary libraries\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import random, time\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.aco import AntColony, total_distance\n",
|
||
"\n",
|
||
"# Function to generate city coordinates\n",
|
||
"def generate_cities(nb, max_coords=1000):\n",
|
||
" # Generate a list of nb cities, each with random coordinates within the range of max_coords\n",
|
||
" return [random.sample(range(max_coords), 2) for _ in range(nb)]\n",
|
||
"\n",
|
||
"# Calculate maximum time per cluster\n",
|
||
"max_time_per_cluster = max_time / nb_truck\n",
|
||
"\n",
|
||
"# Track the time taken to generate cities\n",
|
||
"start_time_generate = time.time()\n",
|
||
"# Generate cities\n",
|
||
"cities = generate_cities(nb_ville, max_coords)\n",
|
||
"# Set the first city's coordinates at the center\n",
|
||
"cities[0] = [max_coords/2, max_coords/2]\n",
|
||
"stop_time_generate = time.time()\n",
|
||
"\n",
|
||
"# Track the time taken to split cities across clusters\n",
|
||
"start_time_split = time.time()\n",
|
||
"# Split cities into clusters\n",
|
||
"clusters = split_tour_across_clusters(cities, nb_truck)\n",
|
||
"stop_time_split = time.time()\n",
|
||
"\n",
|
||
"# Print out the time taken for each process\n",
|
||
"print(\"\\n---- TIME ----\")\n",
|
||
"print(\"Generate cities time: \", stop_time_generate - start_time_generate)\n",
|
||
"print(\"Split cities time: \", stop_time_split - start_time_split)\n",
|
||
"\n",
|
||
"# Initialize a new figure for displaying paths\n",
|
||
"plt.figure()\n",
|
||
"plt.title(\"Ant Colony Optimization\")\n",
|
||
"# List of colors for plotting\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"# Initialize a list for storing the best routes\n",
|
||
"best_routes = []\n",
|
||
"\n",
|
||
"print(\"\\n---- CLUSTER ----\")\n",
|
||
"# Iterate through each cluster\n",
|
||
"for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" # Select a color for the cluster\n",
|
||
" color = colors[i % len(colors)]\n",
|
||
" \n",
|
||
" # Retrieve city coordinates for the cluster\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" # Run the AntColony algorithm and store the best route\n",
|
||
" ant_colony = AntColony(cluster_cities, n_ants=nb_ants, max_time=max_time_per_cluster, alpha=alpha, beta=beta, evaporation=evaporation, intensification=intensification)\n",
|
||
" best_route = ant_colony.run()\n",
|
||
" best_routes.append((best_route, color))\n",
|
||
"\n",
|
||
" # Print the total distance for the cluster\n",
|
||
" print(\"Total distance for cluster {} ({} cities) : {}\".format(i+1, len(cluster_cities), total_distance(best_route)))\n",
|
||
"\n",
|
||
"# Calculate and print total distance for all clusters\n",
|
||
"full_total_distance = 0\n",
|
||
"for route, color in best_routes:\n",
|
||
" full_total_distance += total_distance(route)\n",
|
||
"print(\"Total distance for all clusters: \", full_total_distance)\n",
|
||
"\n",
|
||
"# Plot each route\n",
|
||
"for i, (route, color) in enumerate(best_routes):\n",
|
||
" x = [city[0] for city in route]\n",
|
||
" y = [city[1] for city in route]\n",
|
||
" # Close the loop of the route\n",
|
||
" x.append(x[0])\n",
|
||
" y.append(y[0])\n",
|
||
" # Plot the route\n",
|
||
" plt.plot(x, y, color=color, marker='o', linestyle='-', label=f\"Cluster {i}\")\n",
|
||
"\n",
|
||
"# Display the plot\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "82c80021",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Algorithm du recuit simulé"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "c93a893d",
|
||
"metadata": {},
|
||
"source": [
|
||
"L'algorithme du recuit simulé est une technique d'optimisation inspirée du processus de recuit utilisé dans la métallurgie. Il permet d'explorer de manière probabiliste l'espace des solutions en acceptant occasionnellement des mouvements qui peuvent initialement sembler moins favorables. Cette approche permet de trouver des solutions globales et d'éviter de rester bloqué dans des optima locaux."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 32,
|
||
"id": "742e5f57",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"nb_ville = 100\n",
|
||
"max_coords = 1000\n",
|
||
"nb_truck = 4\n",
|
||
"temperature = 10000\n",
|
||
"cooling_rate = 0.9999\n",
|
||
"temperature_ok = 0.001"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 33,
|
||
"id": "de95de4c",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"---- TIME ----\n",
|
||
"Generate cities time: 0.0009975433349609375\n",
|
||
"Split cities time: 0.04487872123718262\n",
|
||
"Total distance for cluster 1 (27 cities) : 2664.6125913825863\n",
|
||
"Total distance for cluster 2 (27 cities) : 2419.498935358293\n",
|
||
"Total distance for cluster 3 (27 cities) : 2792.878477974977\n",
|
||
"Total distance for cluster 4 (27 cities) : 2914.2725993190484\n",
|
||
"Total distance for all clusters: 10791.262604034904\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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7P/74Y7788ktWrVpFUFAQ7777Lv379+fMmTPY2dkBMGLECFJSUti2bRsqlYpRo0YxZswY1q5dC+gykPv160dkZCRLly7l5MmTvPjii7i5uTFmzJh7fMkCwf1BXl4eV65cQUwLqX04ODjg6+uLjY2NuU0RCCyWe5qFJJPJSnhgJEnCz8+PadOmMX36dACys7Px9vZm5cqVDB8+nLNnzxIaGsrhw4fp0KEDAFu2bGHQoEFcuXIFPz8/lixZwttvv01qaqrhD3jmzJn8/vvvnDt3zijbcnJycHV1JTs7W1QhCe47NBoNFy9exMHBAU9PT/E0X0uQJAmlUkl6ejoajYamTZtW2MhLIKiLGHv/NmkZdVxcHKmpqURGRhq2ubq60rlzZw4cOMDw4cM5cOAAbm5uBvECEBkZiVwu59ChQzz++OMcOHCAnj17lnj66N+/P/PnzyczMxN3d/dS1y4uLqa4uNjwc05OjilfmkBQq1CpVEiShKenJ/b29uY2R1AF7O3tsba2JiEhAaVSafBcCwSCkphU2qempgLg7e1dYru3t7dhX2pqKl5eXiX2W1lZ4eHhUWJNWee4/Rp3EhUVhaurq+FLdOEVCCrvoyCwTITXRSConDrzV/Lmm2+SnZ1t+EpKSjK3SQJBrUaSJPKK1GQVKMkrUotcGoFAYFGYNITk4+MDwLVr1/D19TVsv3btGm3btjWsSUtLK3GcWq0mIyPDcLyPjw/Xrl0rsUb/s37Nndja2mJra2uS1yEQ3O9kFyq5mlWESqM1bLNWyPFzs8PVXiSWCgQC82NSD0xQUBA+Pj7s2LHDsC0nJ4dDhw7RpUsXALp06UJWVhZHjhwxrNm5cydarZbOnTsb1uzZs6dE+ee2bdto1qxZmfkvAoHAdGQXKkm4UYBKo0WjlTh5JZt/LqQTk5BJbHo+2YVKc5uITCbj999/N7cZAoHAjFRZwOTl5XHs2DGOHTsG6BJ3jx07RmJiIjKZjClTpjBnzhz+/PNPTp48yfPPP4+fn5+hUqlFixYMGDCAl19+mejoaP79918mTpzI8OHD8fPzA+CZZ57BxsaGl156idOnT/PTTz/xxRdfMHXqVJO9cIFAUBpJkriaVQTA/ss3GP39f7z9+ykWbL3A27+fYvT3//HLf9Vbmp2amsqkSZMIDg7G1taWgIAABg8eXOLByJTs3r0bmUxGVlZWtZwfdL2vRowYgYuLC25ubrz00kvk5eVV2/UEgvuBKoeQ/vvvPyIiIgw/60XFyJEjWblyJW+88Qb5+fmMGTOGrKwsunfvzpYtW0pk0q9Zs4aJEyfSp08fQyO7L7/80rDf1dWVrVu3MmHCBMLDw6lfvz7vvfee6AEjEFQz+cUaVBot+y/fYN7m0i0LbuQpmbPxLPUcbXm8vb/Jrx8fH0+3bt1wc3Pjk08+oXXr1qhUKv7++28mTJhgdBsFcyBJEhqNBiur0h+rlfW+EggEVeee+sBYMqIPjOB+pqioiLi4OIKCgrCzs0OSJApVGkB3o1VpJJRqzc1/tSjVWoq1WpQqLWqNlglrj3Ijv/xQkZezLTum9UIhr7zKyd5aYXQ11KBBgzhx4gTnz5/H0dGxxL6srCzc3NyAkj2odu/eTUREBJmZmYb9x44do127dsTFxdGoUSMSEhKYOHEi+/btQ6lU0qhRIz755BNCQ0MJCgoqcR39w5hWq2X+/Pl88803pKamEhISwrvvvsvQoUMBDNfdtGkT77zzDidPnmTr1q307t27xPmM6X11J3f+/wkE9xNm6QMjEAgsg0KlGpVGS26RilyVjOxCFZGf/WOy86flFtP6/a1GrT3zQX8cbCr/qMnIyGDLli3MnTu3lHgBDOLkbpgwYQJKpZI9e/bg6OjImTNncHJyIiAggHXr1jFkyBDOnz+Pi4uLoW9OVFQUq1evZunSpTRt2pQ9e/bw7LPP4unpSa9evQznnjlzJp9++inBwcFl5ugZ0/tKIBBUHSFgBIJaiCRJpOcVk5RRQMKNAhIzCki8+W9CRgE2qHk/wgspqxCZlYaim94XS+bSpUtIkkTz5s1Nfu7ExESGDBlC69atAQgODjbs8/DwAMDLy8sgkoqLi/noo4/Yvn27oQAhODiYffv2sWzZshIC5oMPPqBv377lXtuY3lcCgaDqCAEjEFgoSrWWK5k3xclNgZKQUUDSzZ8LlOWLEn9nBXIZ2FopsLe3pr6TDf/OiMBaIcPGSo61Ql5mWEeSJH4/epW3fz9VqX0rR3WkU5BHpevsrRWVrtFfu7qYPHky48aNY+vWrURGRjJkyBDCwsLKXX/p0iUKCgpKCROlUkm7du1KbLvdsyKwPDRaDTFpMaQXpOPp4El7r/Yo5Mb9TgosGyFgBAIj0GglouMySMstwsvZjk5BHkblf1RGdoGKhIx8nefkxi0vSmJGASnZhWgruKfLZeDrak9DDwcC6zkQcPPfhh4O+DoquJ56hUb1HY3OodBXIIX6uVDPyYYbeWXnwMgAH1c7ejT1NMl7oKdp06bIZLIqJ+rqu9beLoDunMA9evRo+vfvz8aNG9m6dStRUVEsWLCASZMmlXlOfYXQxo0b8fcvmax8Z7+pssJdt2NM7ytB9bA9YTvzoudxreBWXzFvB29mdppJZGBkBUcKagNCwAgElbDlVAqzN5whJbvIsM3X1Y5Zg0MZ0Mq3giN1wiclu9DgPSkR6rmRT06RusLj7a0VNPRwoGE9BwJv/tvQQ/fVwN0BG6uyOyEUFRVxvYqv83peMTfyi1HIZbw1sDnTfzkBwO0aSi9XZg0ONal4AV0op3///ixevJjJkydXmMR7O56engCkpKQYclD0bR5uJyAggLFjxzJ27FjefPNNli9fzqRJkwwz1zSaWx6t0NBQbG1tSUxMLBEuuhtu730VHh4OlO59VRuobZ6M7Qnbmbp7KhIlnwLSCtKYunsqn/X+TIiYWo4QMAJBBWw5lcK41THc6QhJzS5i3OoYljzbnh5NPUnKLOlB0Yd6rmQWoNJUHBrxdLbVeVFuEyh6j4qnk22NzDPKKlAaBJqvqz1hDdxwtLUqJdx8jBRud8vixYvp1q0bnTp14oMPPiAsLAy1Ws22bdtYsmQJZ8+eLXVMkyZNCAgI4P3332fu3LlcuHCBBQsWlFgzZcoUBg4cSEhICJmZmezatYsWLVoAEBgYiEwm46+//mLQoEHY29vj7OzM9OnTee2119BqtXTv3p3s7Gz+/fdfXFxcGDlypNGv6fbeV0uXLkWlUpXqfWXp1DZPhkarYV70vFLiBUBCQoaM+dHziQiIsGgRJqgYIWAEgnLQaCVmbzhTxkfgLa/E+DUxFYZ5AKwVMgLcS4Z4dCLFkQAPe6MqdKqT/GI1SZmFANR3sqW+k84jMaCVL31DfaoldFYewcHBxMTEMHfuXKZNm0ZKSgqenp6Eh4ezZMmSMo+xtrbmhx9+YNy4cYSFhdGxY0fmzJnDsGHDDGs0Gg0TJkzgypUruLi4MGDAAD7//HMA/P39mT17NjNnzmTUqFE8//zzrFy5kg8//BBPT0+ioqKIjY3Fzc2N9u3b89Zbb1X5dVXW+8qSqWlPhiRJqLVqijXFFGuKUWqUun+1SsP3JbZrlCW+L9YUE5cdV0JslboGEqkFqcSkxdDRp6PJbBfULKIPjEBQDgcu3+Dp5QeNWutqb30rD6VEToojPi521XrTLwtj+4gUqzRcTs9DrZVwsdO9BjHB2vxYSh8YjVZD/3X9KxQDLjYuTGg7AZVWpRMTWmUpgVGe0ChPlNQUjVwa0d67PY1cGum+XBvRwLkB1nLruzpfbQuzWSqiD4xAcI+k5RZVvgiY90RrhndqWM3WmB61RkvcjXzUWgkHG12ujRAvgtuJSYupULwA5ChziIqOqjYbbOQ22CpssVHYYKO49b1hm7z0tqyiLHYkVT56Ij4nnvic+BLbrGRWNHBuYBA0t//rYedR7t9IbQuz1QWEgBEIysHL2bgn38B6FVehWCJarUT8jQKUai02VnIC6zkir2EvkcDySS9IN2pdq/qtCHQJ1AkIeTlC4/ZtctuKRcnN763l1shlVZ85rPccpRWklZkHA1DPrh7TOkwjMTeR+GydkEnISaBQXXhL2FwpeYyzjTNBLkE0cm1EoEugQdxczrrMjD0zRMJwDSMEjEBQDi39XLBWyMpNwtWXExvTC8WSkCSJpMwCCpRqFHIZjeo5Yq0w6WB6QR3B08HTqHVTw6daVC6JQq5gZqeZTN09FRmyEsJCdrOW7p0H3iklKrSSlrSCNJ2AuSlq9P9ezbtKrjKXE9dPcOL6CaPsEAnD1YsQMAJBGag0Wib/eLRC8QLVU05c3aRkF5FdqEImkxFYzxE7IxvNCe4/2nu1x9vBu1xPhgwZ3g7etPdqbwbrKiYyMJLPen9WZlhnRqcZZXpE5DI5Po4++Dj68IDvAyX2FamLSnhr9P+ezziPUlv+3DCRMFx9CAEjENyBJEnMXHeS3efTsbOWM/nBpvzvYEKNlhNXF9fzirmep0uSDHC3x8lWfAQIyqciT4aeGZ1mWKxnITIwkoiACJMk1tpZ2RHiHkKIewiF6kJ2J+0mNzYXtVRxLyc9xobjBMYjPr0Egjv4+O/zrIu5gkIuY/Ez7enTwptXejWu0XLi6iC7UMXVLF25tI+rHW4ONma2SFAbKM+TYSWz4pNen1h8bodCrjCJ50OlVXHw6kE2xW1iR+IOCtWFVTre2HCcwHiEgBEIbmPFv3Es2X0ZgKjHW9OnhTcACrmMLo3rmdO0e6JAqSYpowAAD0cbPJ1sKzlCILjF7Z6M2OxY5hycg1pSE+4dbm7TqhVJkjiefpyNsRvZmrCVjKIMwz5/J38GBQ2if6P+TNgxoVaG2Wo7QsBYCNU1a0dgPH+duMoHf50BYHq/EJ7sGGBmi0xDsVpD/PUCtJKEs501/m72olxaUGX0noyOPh358dyPXMq6RHRqNP0b9Te3aUahVCv56cJPJOUkEeASwFMhT2FjVbYX8lLmJTbFbWJT3CaS85IN2z3sPOjfqD+DggbRxrON4e+osoRhSw6z1WaEgLEA7mXWjsA07L98nak/HUeS4PkugUyIaGJuk0yCWqMlOasAtVZrmKskxIvgXuns25lLWZc4lHKoVgiYz/77jFVnVqGVtIZtn/73KSNDRzK1w1QAUvJS2By/mU2xmzifed6wzsHKgT4N+zAoeBCdfTuX2eTubhKGBfeOEDBmxphZO0LEVC9nrubwyvdHUGq0DGzlw6zBLevETV43XbqQYkmBtUJOo/qOVffqaTWQsB/yroGTNwR2BQt4kpTJZPz222889thj5jblvqSzT2fWnF1DdGq0uU2plM/++4wVp1eU2q6VtKw4vYJzGedQapUcuXbEsM9KbkV3/+48FPQQvQJ6YW9lX+l1TJkwLDAOIWDMSGWzdmTA7A1n6BvqI8JJ1URSRgEjV0STW6ymc5AHnz/Vtk6811qtRGaBCicHDVbWVgTVv4teL2f+hC0zIOfqrW0ufjBgPoQ+YlqDbyM1NZW5c+eyceNGkpOT8fLyom3btkyZMoU+ffqY/Hq7d+8mIiKCzMzMMqddmwL96zl27Bg2NjZkZWVVy3Vqig4+HZDL5CTkJJCan4qPo4+5TSoTpVrJqjOrKlxzIOWA4fsO3h0YFDyIvg374mbnVuXrmSphWGAconuVGYmOyygRNroTCV3PjpX/xpF4s2tqTaDRShy4fIM/jiVz4PINNJVNK6ylZOQrGfldNOm5xTT3ceab5zvUmZ4o3/4bR4FSgwwZgfUcqv66zvwJPz9fUrwA5KTotp/503TG3kZ8fDzh4eHs3LmTTz75hJMnT7JlyxYiIiKYMGFCtVzTVEiShFpddkmtUqlk2LBhjBs3roatqh6cbZxpVa8VAAdTjJsXZg5+uvBTibBRefRq0IttQ7exYsAKhoUMuyvxIqh5hIAxI8bO2vlw41l6frKLZu9uptPc7Ty6+F/GrznCnL/O8N2+OLacSuXklWyu5xVzr7M5t5xKofv8nTy9/CCv/niMp5cfpPv8nWw5lXJP57U0CpRqXlx5mNjr+fi72bNyVCdc7e9ugJulsfZQIj9GJwLg5WKLk501SBIo8437KsqBzW9ARXO4t8zQrTPmfFX4nRw/fjwymYzo6GiGDBlCSEgILVu2ZOrUqRw8WPaNcvfu3chkshJejWPHjiGTyYiPjwcgISGBwYMH4+7ujqOjIy1btmTTpk3Ex8cTEREBgLu7OzKZjBdeeAEArVZLVFQUQUFB2Nvb06ZNG3799ddS1928eTPh4eHY2tqyb9++Mm2cPXs2r732Gq1btzb6vbB0Ovt2BuBQyiEzW1I+STlJRq3zc/SzWC+SoHxECMmMGDtrx9fFjowCJcVqLWm5xaTlFnO8nL9LWys5fm72+LnZ4edqf+t7t5vfu9pjb1P203hdzse5vcqrnqMN/7c3lmNJWbg5WLPqxU74uJpv4q8p2XU+jXf/OIWPoxwXe6tbvV5UBfCRn4muIuk8M/OMrNJ66yrYVD4vKiMjgy1btjB37lwcHUuvv5fwzoQJE1AqlezZswdHR0fOnDmDk5MTAQEBrFu3jiFDhnD+/HlcXFywt9flO0RFRbF69WqWLl1K06ZN2bNnD88++yyenp706tXLcO6ZM2fy6aefEhwcjLu7+13bWNvo7NuZ5SeXcyjlEJIkWWTeWICLcb+jxq4TWBZCwJiRTkEe+LjYkZpTtidGP2tn34wHkct0IY+rWUVczS7kapb+q4jkm9+n5xVTrNYSdz2fuOv55V7Xw9EGPzc7fF3t8b8pcHxc7OpsPk5ZVV4A1goZ347sSBMvJzNZZlpOJWczYU0MGq1Ev5Y+uNjVLo/SpUuXkCSJ5s2bm/zciYmJDBkyxOABCQ4ONuzz8NDNsvLy8jKIpOLiYj766CO2b99Oly5dDMfs27ePZcuWlRAwH3zwAX379jW5zZZOW6+22CpsSS9MJy47jmC34MoPqmGebPoknxz+pNyBjqAbH/BUyFM1aJXAVAgBY0YUchkPNvdkbXRpd0pZs3bqOdlSz8mW1g1cyzyfUq3lWs4tQXM1q5DkrCJSbgqe5MxC8pUaMvKVZOQrOZWcY7St+nyc6LiMWtXQrTyvEoBKI5FuZBjP0knOKuTFlYcpUGro1qQer0WGkJyUcGuBtYPOE2IMCfthzdDK1434VVeVVBnWDkZd9l7DnxUxefJkxo0bx9atW4mMjGTIkCGEhYWVu/7SpUsUFBSUEiZKpZJ27dqV2NahQ4dqsdnSsVXY0tarLYdSDnEw5aDFCRhJkvjy2JcViheAkaEjy+0HI7BshIAxI9dyithwXJdb4mJnRU7RrQTAu5m1Y2MlJ8DDgQCPsm8YkiSRU6S+5b3JLjJ8f/JKNrEVeG30GJu3YwlUVOUFtdurdDvZhSpGrYgmLbeYZt7OLHk2HBs0JRfJZEaFcQBo/KCu2ignhbLzYGS6/Y0fNGlJddOmTZHJZJw7d65Kx8nlulS+2wWQSqUqsWb06NH079+fjRs3snXrVqKioliwYAGTJk0q85x5eXkAbNy4EX9//xL7bG1LdjEuK9x1v/CA7wMcSjnEoZRDPNPiGXObY0Arafno0Ef8dP4nQBfuOpx6uERCr1wmL9EHRlD7EALGjMz64zS5xWraBLjxyytdOJKQWa2deGUyGa721rjaW9PC16XEvgOXb/D08sqrCYzN27EEjK3yqm1epdtRqrWMW32EC9fy8HaxZcWojrjYWVNUpKn84PKQK3Sl0j8/j07m3S5ibv5ODphn8n4wHh4e9O/fn8WLFzN58uRSwiArK6vMPBhPT92MmZSUFEMOyrFjx0qtCwgIYOzYsYwdO5Y333yT5cuXM2nSJGxsdE/fGs2t9yw0NBRbW1sSExNLhIsEJenso0vkPXztMBqtxiJ6nmi0Gj48+CHrLq5DhoxZXWYxJGRIlTrxCmoHQsCYib9Pp7LldCpWchnznmiNjZXcrDfRTkEe+LrakZpdVN4zNz6uOmFVWzibYlyIrDZ5lW5HkiRmrj/B/ss3cLRR8N0LHfFzq7zhllGEPgJPfl9OH5h51dYHZvHixXTr1o1OnTrxwQcfEBYWhlqtZtu2bSxZsoSzZ8+WOqZJkyYEBATw/vvvM3fuXC5cuMCCBQtKrJkyZQoDBw4kJCSEzMxMdu3aRYsWLQAIDAxEJpPx119/MWjQIOzt7XF2dmb69Om89tpraLVaunfvTnZ2Nv/++y8uLi6MHDmySq8rMTGRjIwMEhMT0Wg0BoHVpEkTnJxqbw5WaL1QnK2dyVXmcjbjLK3qtzKrPWqtmvf+fY8NsRuQy+TM6TaHwY0HA2BjZcNzoc+Z1T5LQaPV1ImGe0LAmIHcIhXv/XEKgDE9g0t5Q8yBQi5j1uBQxq6OKbWvrHwcSyYjX8mXOy7yv4PxRq2vTV6l21m4/SLrY5J1U7NHtKelX9m5UXdN6CPQ/KEa7cQbHBxMTEwMc+fOZdq0aaSkpODp6Ul4eDhLliwp8xhra2t++OEHxo0bR1hYGB07dmTOnDkMGzbMsEaj0TBhwgSuXLmCi4sLAwYM4PPPPwfA39+f2bNnM3PmTEaNGsXzzz/PypUr+fDDD/H09CQqKorY2Fjc3Nxo3749b731VpVf13vvvceqVbcaqunzaHbt2kXv3r2rfD5LQSFX0MGnA7uSdnEw5WCNCpg7b8Kt67fmnX/f4e/4v1HIFMzrOY8BjQbUmD21he0J28sceTCz08xaN/JAJlVn5pwZycnJwdXVlezsbFxczC8Qbufd30/xv4MJNKrnwJYpPS2meVqRSkPnj7aTXViyGVdtmctUqNTw3b9xLN19mdxi3WuwsZKX2wDw9iqv2iDMbueX/5J4/dcTAEQ90ZqnOzUssb+oqIi4uDiCgoKws6udAu1+pjb9/605u4Z50fN4wPcBlvdbXiPXLOsmbKuwpVhTjJXcik97fUqfhqbv2lzb2Z6wnam7p5ZKbNYPnfys92cWIWKMvX8LD0wNcyQhg9WHdNUhHz3e2mLEC8CaQ4lkF6rxdbFl/tAwMgtUtWIytlqjZV3MFT7bdoFrOcUAtPRz4c2BLcgrVjHuplepjEyOWuNVup19F6/z5vqTAIzv3biUeBEIapIHfB8A4GjaUYo1xdgqbCs54t4o7yZcrNH97Y9qOUqIlzLQaDXMi55XZlWWhIQMGfOj5xMREFFrwklCwNQgxWoNM9edRJJgWHgDujapb26TDOQXq1my+xIAkyND6BniZWaLKkeSJHacTWP+lnNcTNNVjTRwt+f1/s0YHOaH/KYwWfJs+1J9YO6myssSOJeaw7jVR1BrJR5p48f0fs3MbZLgPifYNRhPe0/SC9M5nnacTr6dqu1aFd2E9Wy4vIEJbSfUmptwTRGTFlPCY3UnEhKpBanEpMXUmnlOQsDUIEt3x3IxLY/6Tja8/VALc5tTglUH4rmep6ShhwNDwxuY25xKOZqYSdSmc0THZwDg5mDNxIgmPNclEFurkh9cA1r50jfUx9CJtzZ4lcoiNbuIUSsOk1usplOQB58MCzOINIHAXMhkMjr5dmJj7EYOphysVgFT2U0YqHU34ZogsyiTdRfWGbU2vSC9mq0xHULA1BCX0vJYvEvn4XhvcMtbLd4tgJwiFcv+iQVgSmTTqk8trkHirufzyd/n2HQyFdCNTnixexBjezWucJaRQi6rtaXSAHnFakatPExKdhGNPR355rnwUkJNIDAXnX06szF2I4dSq3cukrE319p0E64utJKWQymHWHdxHTsSd6DWlj1o9E48HTyr2TLTIQRMDaDVSry1/iRKjZbezTwZHGZZYYtv98aRXaiiiZcTj7b1r/wAM3A9r5gvd1xk7aFE1FoJmQyGtm/Aa31DTFc6bKGoNFomrInhbEoO9Z1sWDmqk0UJYIFAP9jx9PXT5CnzcLKpntJwY2+utekmbGrSCtL4/dLvrL+4nuS8ZMP2Fh4tuJJ3hVxlbpnHyZDh7eBNe6/2NWXqPSMETA3w4+EkouMzcLBRMOexVhY19CwzX8m3++IAmNo3xCxhldsHLd4Z3skvVvN/e+P4Zs9l8pW6RmMRzTyZMbA5zX0sq7qsOpAkiff+OMU/F9Kxt1bw7ciO5XZaFgjMhZ+THwHOASTlJvHftf/oHdC7Wq7T3qs93g7epBWklZkHUxtvwqZArVWzL3kf6y6sY0/yHkPHYSdrJx4KfoghTYfQol6LSquQZnSaUatyh4SAqWbScoqI2qxrvjWtXzMauFvWzWfZnljyitWE+rowoGXNj5Mva9Cir6sd7zzUgqxCFQu3XyQ9V1ddENbAlTcHtqjVoaCq8vXuy/wQnYRcBl8+3Y42AW7mNkkgKJPOvp1Jyk3ij0t/UKAqqJYGaQq5gpmdZjJ1d+n2/7X1JnwvXMm9wvqL6/nj0h+kFaYZtrf3as8TTZ+gX6N+2Fvd8lBHBkbyWe/P+OjQR6QX3gqzeTt4M6PTDIsooa4KQsBUM7P+PE1ukZqwBq680LWRuc0pQVpuESv367wv0/qF1HhCaHmDFlOyi5iw9qjh54YeDrzevxkPtfa9r5JW/ziWzCd/nwdg1uCW9A31NrNFAkH5OFjpHs62J25ne+J2oHoapOlvwq//8zpq6VZeR229CVcVpUbJzqSdrL+wngMpBwzb3WzdeKTxIwxpOqTCwZqRgZG0qNeCAesGIJfJ+b9+/yc68QpKs/V0KptPpaKQy5j3RJjFVb0s2X2ZIpWWtgFuPNi8ZsumKxu0CLr5g+8+1IJnH2iEjZXlJhZXB4dib/D6L7pGdaO7BzHSwsSvQHA72xO28/2Z70ttTytIY+ruqSZvkPZgwwdRyBSoJTWvd3idFvVa1NqbsLHEZsey/sJ6/rz8J5nFmYbtXXy78ETIEzwY8CA2CuNy4/Q9c5ysnWp1tZYQMNWEblzAaQBe7hFMqJ9l5WtczSpkzcFEAKb3a1bjeTmVDVoEkCRo4et634mXS2m5vPz9fyg1Wga28uGtQeYrubfUmSkymYzffvuNxx57zNym3Pfoe7OURXU1SLuad5VibTE2chueafEMVvK6eSsrVBeyLWEb6y6sIybt1pgXL3svHm3yKE80fYIGzlVve1GoKgQoEV6qjdTN/3UL4JO/z5OaU0RgPQemRDY1tzmlWLTzEkqNls5BHnRrUvM5JcYOUKytgxbvlvTcYl5YcZicIjXtG7rx+VNtzRY2M9fMlNTUVObOncvGjRtJTk7Gy8uLtm3bMmXKFPr0MX2H1d27dxMREUFmZmaZ067vlfj4eD788EN27txJamoqfn5+PPvss7z99tuGSdi1GXM0SIvN1rV9aOTaqE6Kl3MZ5/j1wq9sit1ErkpXNSSXyenp35MhIUPo7t/9nl53gboAEAJGUAZHEjL530HLHBcAkHAjn1/+SwJ0icXmqIoydoBibR20eDcUKNW8tOowVzILaVTPgf8b2dFsvzvlVStUV0hAT3x8PN26dcPNzY1PPvmE1q1bo1Kp+Pvvv5kwYQLnzp0z+TVNhSRJaDQarKxKfqyeO3cOrVbLsmXLaNKkCadOneLll18mPz+fTz/91EzWmg5je66kFaRVvshILmXpemo1dm1ssnOamzxlHpviNrHu4jrO3Dhj2O7v5M8TTZ/g0caP4u1omjy4QrXOA+NgbVlFJVXl/vLN1wBKtZY3159AkmBI+wZ0s6BxAXq+2HERtVaiZ4gnnYI8zGJDpyAPfF3LFycydNVI5rKvptFoJSb/cJQTV7Jxd7Bm5ahOeDia7ulckiQKVAVGfeUW5xIVHVXuzBQJiXnR88gtzjXqfFWZFzt+/HhkMhnR0dEMGTKEkJAQWrZsydSpUzl48GCZx+zevRuZTEZWVpZh27Fjx5DJZMTHxwOQkJDA4MGDcXd3x9HRkZYtW7Jp0ybi4+OJiIgAwN3dHZlMxgsvvACAVqslKiqKoKAg7O3tadOmDb/++mup627evJnw8HBsbW3Zt29fKfsGDBjAihUr6NevH8HBwTzyyCNMnz6d9evXG/2+WDLG9lz59PCnRB2KYv/V/ag0qkrXa7QaDqceZlPsJg6nHkaj1Rj2Xc66DFBhsmptQJIkjqUd491/3+XBXx7kw4MfcubGGazkVvRv1J9v+n7Dpic2MSZsjMnECwgPjKAclv1zmQvX8qjnaMM7FjYuAHT5Fb8f1TU3mtY3xGx2KOQyZg0OZezqmFL7avOgxbtBkiQ+2HCa7WfTsLGS838jO9CovqNJr1GoLqTz2s4mO9+1gmt0/bGrUWsPPXPIqCe9jIwMtmzZwty5c3F0LP367yW8M2HCBJRKJXv27MHR0ZEzZ87g5OREQEAA69atY8iQIZw/fx4XFxfs7XUf6lFRUaxevZqlS5fStGlT9uzZw7PPPounpye9evUynHvmzJl8+umnBAcH4+7ubpQ92dnZeHjUDXFeWW8WPdeLrrP23FrWnluLk7UT3fy70atBL3o26ImrrWuJtZWFL2OzdCGkxm610wOTVZTFhtgNrL+43uBNAghyDWJI0yEMbjwYD7vq+/0QOTCCUlxOz2PRTv24gFDcTfgEbSo+334RrQR9Q73N3lOkX6gPHg42ZBQoS2yvrYMW75Zv98Wx6kACMhksfKot4YF148ZWVS5duoQkSTRv3tzk505MTGTIkCG0bt0agODgW0/ueiHh5eVlEEnFxcV89NFHbN++nS5duhiO2bdvH8uWLSshYD744AP69u1rtC2XLl1i0aJFdSJ8BCV7s8iQlRAx+t4s83rMw97Knt1XdvNP0j/cKLrB3/F/83f83yhkCtp6tSUiIIJeDXpxKetSheHLBb0WcDlb54GpTSEkraTlcOph1l1Yx/bE7ai0Oi+UncKOfo36MTRkKG0929ZISF8fQhICRgDoxgW8eXNcQK8QTx5p42duk0px5moOG0+kALquu+bmaFImGQVKHG0UfP1se7IKVLV20OLdsvlkCnM36RodvjWwBYNaV49os7ey59Azxs2pOXLtCON3jK903dd9vibcO9yoaxtDVUJNVWXy5MmMGzeOrVu3EhkZyZAhQwgLCyt3/aVLlygoKCglTJRKJe3atSuxrUOHDkbbkZyczIABAxg2bBgvv/xy1V6EBaPvzVKW1+T23iwRDSPQSlpOXT/F7qTd7L6ym4uZFzly7QhHrh3h0/8+RSFTlBu+lCEjKjqKQnUhVjIrAlwCauol3jXpBen8cfkP1l9cT1JukmF7C48WDGk6hIHBA3GxqdkqVUMOjFXtzoERAsZE/PRfEtFxGdhbW964AD2fbbsAwMNhvrTwNX9Z94bjOjHVr6UPvUJqtg+NJXAkIYMpPx1DkuD5LoGM7hFUbdeSyWRGJ+x19etqVLv2rn5dTVpS3bRpU2QyWZUTdeVyXSrf7QJIpSqZYzF69Gj69+/Pxo0b2bp1K1FRUSxYsIBJkyaVec68vDwANm7ciL9/yflgtra2JX4uK9xVFlevXiUiIoKuXbvyzTffGHVMbSIyMJKIgIhKy+7lMjlhnmGEeYYxuf1kkvOS2Z2k88wcSj2ERtKUfQF0IkbfQTbQJRBrefkDXM2JRqvh36v/su7COv658o/hNTlaO/JQ0EM8EfIELeu1NJt9IgdGYCAtp4iPNunHBYRY5KyaY0lZbD97DbkMpkSa3/ui0UpsOqkTMA9b2HDLmiDuej6jV/1HsVpLZAsvZg1uaTGi15iQQHW0a/fw8KB///4sXryYyZMnlxIGWVlZZebBeHrqkkhTUlIMOSjHjh0rtS4gIICxY8cyduxY3nzzTZYvX86kSZMMpcwaza0bZ2hoKLa2tiQmJpYIF90tycnJREREEB4ezooVKwyiq66hkCuqXCrt7+TPiBYjGNFiBOsvrGfWgVlGHWeJ+S9X867y26Xf+O3ibyU8UW092/JE0yfo36i/RVT+GEJI1kLA3PfM3nCG3CI1rf0tb1yAngVbdS3pH2/XgCZe1TMptirohjcW42JnRY+m99fk2Ix8JaNWRJNZoCKsgStfPt3O4kJmxoYETM3ixYvp1q0bnTp14oMPPiAsLAy1Ws22bdtYsmQJZ8+eLXVMkyZNCAgI4P3332fu3LlcuHCBBQsWlFgzZcoUBg4cSEhICJmZmezatYsWLXRJ9oGBgchkMv766y8GDRqEvb09zs7OTJ8+nddeew2tVkv37t3Jzs7m33//xcXFhZEjRxr9mpKTk+nduzeBgYF8+umnpKffKjv28an5+WOWTFVCQjUhYIxp5KjSqNh9ZTfrLqxj/9X9BsHvauvK4ODBDGk6hCbuTard1qogQkgCALafucbGkyko5DKinmiNlcLynqwOxd5g78XrWMllvNrHMprq/XXiKgADWvncV512i1QaRq86TPyNAhq42/PtyI442Fjmn6GxIQFTEhwcTExMDHPnzmXatGmkpKTg6elJeHg4S5YsKfMYa2trfvjhB8aNG0dYWBgdO3Zkzpw5DBs2zLBGo9EwYcIErly5gouLCwMGDODzzz8HwN/fn9mzZzNz5kxGjRrF888/z8qVK/nwww/x9PQkKiqK2NhY3NzcaN++PW+99VaVXtO2bdu4dOkSly5dokGDkl1TqzPvpzair2gqrzGeDBlWcitUWlW1l1BXVgkVlx3Hbxd/44/Lf5BRlGFY09mnM0NChtCnYR+jW/vXNAWquhFCkkl19C8oJycHV1dXsrOzcXGpnnyP3CIV/T7fQ0p2Ea/0DOZNM7Z8Lw9Jknhq2UGi4zN4pnNDPnq8tblNQq3R0vmjHdzIV/L9i53oGXJ/eGC0WokJa2PYfCoVFzsr1o/vShMv52q5VlFREXFxcQQFBWFnd/80A6wr3M//f9sTtvPa7tdKbdeHL20VthRpilj/yHqaulfPA1l5jRz1BLsGG7oBA9S3r89jTR7jiSZP1IrE4sk7J7MraRfvPvAuTzZ70tzmlMLY+7dlPvrVEj79+zwp2UU09HCwiLySsth36TrR8RnYWMmZ9KBluDEPxN7gRr4SD0cbujau+TEGNYVGK90MlRXh5WzH9rO64Z42CjnfPN+h2sSLQFCbaVmvJXKZHK2kLbHd28GbV9q8wuwDs1HIFAS6BFbL9fWznSrqaRObHYsMGT0a9GBI0yH0bNCzVo00EGXU9yG335CyC1WsOqAbFzD38VbY21jWuADQeV8+3aqrPHq2cyC+rpbxy7rhuC58NLCVj0WG3EzBllMpzN5wpsyBlZ8MC+OB4Lor3ASCe+HbU9+ilbR09O7IuLbjSoQvD6XqWgEEOAdUW3imstlOej7p+Qn9g/pXiw3VTV0ZJSAEjJGUd0PqHORhsUmoO86mcTwpC3trBeN6W0bGvlKtZcupVAAeDrO8XjmmYMupFMatjin3+c32Psr5EQiqQmp+Kusv6kYsjGs7rlRFU0104DV2tlNF5d6WTl0poxafpEagvyGV9TQdHZfBllMpZrCqYrRaiQU3+7680K0Rns62lRxRM+y7lE5OkRpPZ9s6OedIo5WYveFMueJFhq5qTaOtk6lnAsE98e3Jb1FpVYR7h5dZjq3vwBvsWn0JvMbOdjJ2nSWiHyVQ26uQhICphMpuSGCZN6TNp1I5m5KDs60Vr/S0nIFn+uZ1D7X2tbjSYVMQHZdRptDVIwEp2UVEx2WUu0YguB+5ln+NdRfXATCuzbgy19SEB0ZfCSWj7M8nGTJ8HHxo79W+2myobupKDowQMJVQG29IGq3EZ9t0fV9e6hGEm4NllPIVqTRsO6OLLQ9uUzeb16Xllv+7cjfrBIL7hRWnV6DSqmjv1Z5OPp1K7ZckyTD4sDoFjL6RY1lUZyPHmqSu9IERAqYSauMN6Y9jyVxOz8fNwZoXu1dfe/qqsvt8OnnFavxc7WgXYNzU3tqGl7NxJa/GrhMI7gfSC9L59cKvALzS5pUyu1LfKLpBjjIHuUxOI5dG1WqPvpFjfbv6JbZ7O3jzWe/Pqq2RY00gSZLoxHu/UNtuSCqNloXbLwLwSs/GuNhZzqwQffO6h8J8kdfB8BFApyAPfF3tSM0uKjPsKEM3bbsu5v8IBHfLitMrKNYU08azDV18u5S5Rh8+auDUADur6v+8jQyMpJlHMwatH4S1zJpl/ZZVeyPHmqBIU2QoERchpDvQaDS8++67BAUFYW9vT+PGjfnwww9LdJyUJIn33nsPX19f7O3tiYyM5OLFiyXOk5GRwYgRI3BxccHNzY2XXnrJMGCtJtHfkCq63fpa0A3p1yNXSMwooL6TDSO7Vk+fhLuhQKlmx9k0AAZb4KRuU6GQy5g1OBSg3N+ZWYND62T+j0BwN1wvvM4v538BdLkv5c0E04ePqrsD7+3YyHXhdwmJjj4da714gVvhIwA7hWU8eN8tJhcw8+fPZ8mSJXz11VecPXuW+fPn8/HHH7No0SLDmo8//pgvv/ySpUuXcujQIRwdHenfvz9FRbfCMCNGjOD06dNs27aNv/76iz179jBmzBhTm1sptemGVKTS8OUOnRAc37uJRbWo33E2jUKVhoYeDrT2dzW3OdXKgFa+LHm2PT6uJT8cZDL4YnhbBrSqPfk/kkZD/qFosv/aSP6haCSNZZSOymQyfv/9d3ObITABK0+tpEhTRFj9MLr6dS13nb7zbWPXmmsJoW9Op5bUdWbsg36MgJ3CrtYLMpMLmP379/Poo4/y0EMP0ahRI4YOHUq/fv2Ijo4GdN6XhQsX8s477/Doo48SFhbG999/z9WrVw0fSGfPnmXLli383//9H507d6Z79+4sWrSIH3/8katXr5ra5Eop74akx9NCwkc/RCeSkl2Ej4sdz3RuaG5zSqAPHz0c5msxU5erkwGtfNk340F+ePkBPn+qLfUdbZAkUFtYtVpF5GzdyqU+kSSOHMnV6dNJHDmSS30iydm6tVqvm5qayqRJkwgODsbW1paAgAAGDx7Mjh07quV6u3fvRiaTkZWVVS3nB3jkkUdo2LAhdnZ2+Pr68txzz5nls8zSuFF4g5/O/wSUn/ui53KWroS6JqdQ395d987OwLWVulKBBNUgYLp27cqOHTu4cEHXg+T48ePs27ePgQMHAhAXF0dqaiqRkbeSoFxdXencuTMHDhwA4MCBA7i5udGhQwfDmsjISORyOYcOHSrzusXFxeTk5JT4MiW335C+GN6WH15+gGHhusFsUZvOml2dFyjVLN6l+wOf1KcJdtaWo6xzi1TsOq9rDlVXm9eVhUIuo0vjejzezp9RN5Op/3cwwcxWGUfO1q0kvzoFdWpqie3qa9dIfnVKtYmY+Ph4wsPD2blzJ5988gknT55ky5YtREREMGHChGq5pqmQJAm1Wl3mvoiICH7++WfOnz/PunXruHz5MkOHDq1hCy2PVWdWUaQpomW9lvTw71HhWr0HpiZDSArZrc9RtVT2/21tQwiYCpg5cybDhw+nefPmWFtb065dO6ZMmcKIESMA3dMVgLe3d4njvL29DftSU1Px8vIqsd/KygoPDw/DmjuJiorC1dXV8BUQYPqBWvob0qNt/enSuB7T+jXDzlrOfwmZhvJgc/H9gQSu5xUT4GHPsHDLGia27cw1lGotjT0daeF7f87/ebJDANYKGUcTsziVnF3j15ckCW1BgVFfmtxcrs2ZC2WJckkCJK7N/QhNbq5R56uKuB8/fjwymYzo6GiGDBlCSEgILVu2ZOrUqRw8eLDMY8ryoBw7dgyZTEZ8fDwACQkJDB48GHd3dxwdHWnZsiWbNm0iPj6eiIgIANzd3ZHJZLzwwgsAaLVaoqKiDPl8bdq04ddffy113c2bNxMeHo6trS379u0r08bXXnuNBx54gMDAQLp27crMmTM5ePAgKpXK6PemrpFZlMmP534EKs59AcgoyjBMfA5yqbnKyts9MBqtZYRP75W6MkYAqqEK6eeff2bNmjWsXbuWli1bcuzYMaZMmYKfnx8jR4409eUMvPnmm0ydOtXwc05OTrWImNvxcbXjpe5BLN51mflbzvFgcy+zzPbJLVKx9B+d9+XVPiHYWFir+r9O6JrXPRzmd1+Ej8rC09mWga18+fP4VVYfTGDekLAavb5UWMj59uEmOpnOE3OhY+leHWXRLOYIMofKPywzMjLYsmULc+fOxdHRsdR+Nze3qlpqYMKECSiVSvbs2YOjoyNnzpzBycmJgIAA1q1bx5AhQzh//jwuLi7Y2+ueTKOioli9ejVLly6ladOm7Nmzh2effRZPT0969eplOPfMmTP59NNPCQ4Oxt298vYAGRkZrFmzhq5du2JtbTlVgjXNqtOrKFQX0sKjBT0b9Kxwrb4Cyd/Jv0ZvvLfniNQVD4w+B6YueGBMLmBef/11gxcGoHXr1iQkJBAVFcXIkSPx8fEB4Nq1a/j63kpmvHbtGm3btgXAx8eHtLS0EudVq9VkZGQYjr8TW1tbbG1rvl3+K70as/ZQIpfT8/n5vytmyT35bl88WQUqgj0deaytZYVosgqU7LmgCx/V1eZ1xvJcl0D+PH6V345eITLUm/xiNV7Ougo2S0gCNzeXLl1CkiSaN29u8nMnJiYyZMgQWrduDUBw8K0whIeHroLQy8vLIJKKi4v56KOP2L59O126dDEcs2/fPpYtW1ZCwHzwwQf07du3UhtmzJjBV199RUFBAQ888AB//fWXqV5erSOrKIsfzv0AwNg2Yyt9sDGEj6pxhEBZlAghaeuGgKlLISSTC5iCggLk8pIeAIVCgVarS4AKCgrCx8eHHTt2GARLTk4Ohw4dYtw4XfvoLl26kJWVxZEjRwgP1z017ty5E61WS+fOnU1t8j3hYmfN5D5Nmb3hDJ9vv8Bj7fxqtPonq0DJ/+3V/XG/FhlicdOd/z6dilor0dzHmSZe92f4SE+HQHf83exIzipi9Kr/DNt9Xe2YNTi0WquTZPb2NIs5YtTagv/+I2nMK5WuC/hmGQ635alVdG1jqM48ssmTJzNu3Di2bt1KZGQkQ4YMISysbC+YJEmcOH2OgoKCUsJEqVTSrl27Ets6GPEegO7h7qWXXiIhIYHZs2fz/PPP89dff92XXsnvz3xPgbqA5h7NiQiIqHS9PoG3iVuT6jatBHKZHLlMjlbS1rkQkhAwZTB48GDmzp1Lw4YNadmyJUePHuWzzz7jxRdfBHTlj1OmTGHOnDk0bdqUoKAg3n33Xfz8/HjssccAaNGiBQMGDODll19m6dKlqFQqJk6cyPDhw/HzsywPA8CIzoGs+DeexIwC/m9vHJP7NK2xa3+zJ5bcYjXNfZx5qLXleTj04aO63PvFWP4+nUpyVumOzanZRYxbHcOSZ9tXm4iRyWRGhXEAHLt1w8rHB/W1a2XnwchkWHl749itGzKF6ZLFmzZtikwm49y5c1U6Tv/AdLsAujO3ZPTo0fTv35+NGzeydetWoqKiWLBgAZMmTSqxLrtQydWsIs4n67yGX674CT9/P7xdbHG20/UEudPTW1a4qyzq169P/fr1CQkJoUWLFgQEBHDw4EGDh+d+Ibs4m7Xn1gIwNqxy7wvcNsSxBhN49VjJrFBKylo9ffp29JOoa/sYAaiGJN5FixYxdOhQxo8fT4sWLZg+fTqvvPIKH374oWHNG2+8waRJkxgzZgwdO3YkLy+PLVu2YGd3qxx5zZo1NG/enD59+jBo0CC6d+/ON998Y2pzTYKNlZzX+zcDYNk/l7meV1wj172eV8yKf+MBmNavmcV1t72eV8z+yzcAXfn0/Yx+KGhZ6G+7ljIUVKZQ4P3Wmzd/uON36ubP3m+9aVLxArpQTv/+/Vm8eDH5+fml9pdX5uzpqZsKnJJyayr8sWPHSq0LCAhg7NixrF+/nmnTprF8+XIAbGx0wiQzr5CEGwWoNFoaN22Gja0tKVeT8GsYhMLND0//hjRp0sQkuXV6j3Rxcc18VlgS/zvzP/JV+YS4hxDRsHLvC9xWQl2DPWD06PNgVNq6kXBdV8YIQDV4YJydnVm4cCELFy4sd41MJuODDz7ggw8+KHeNh4cHa9euNbV51cZDrX1ZvjeWE1ey+XLHRT54tFW1X3PJ7ssUqjS0aeBKZAuvyg+oIZRqLf87EM/WM9fQaCVa+joTWM+4p9S6SlWGgnZpXK/mDCsHl3794IuFXPsoqkQptZW3N95vvanbXw0sXryYbt260alTJz744APCwsJQq9Vs27aNJUuWcPbs2VLH6EXF+++/z9y5c7lw4QILFiwosWbKlCkMHDiQkJAQMjMz2bVrFy1atAAgMDAQmUzGj+v+oEvvSOzs7HB0cmbkmIl8OvttJK1Eu44PcPF0Lsnnj+Hq6lqlgoRDhw5x+PBhunfvjru7O5cvX+bdd9+lcePG9533JUeZw5qzawB4JewV5LLKn6Gzi7O5XngdMJ8HBupeFZIIIQkMyOUyZg5szjPLD7H2UCKjugURVL/6btqp2UWGniLT+jWzmDh61KYzLN8bx+2OhDMpuURtOsObg0LNZ5iZqY1DQV369cO5Tx8K/juCOj0dK09PHDqEm9zzcjvBwcHExMQwd+5cpk2bRkpKCp6enoSHh7NkyZIyj7G2tuaHH35g3LhxhIWF0bFjR+bMmcOwYcMMazQaDRMmTODKlSu4uLgwYMAAPv/8cwD8/f15+91ZfPbR+9x4bTyDhwznw8+/ZsLrb+Nerz7fLv6cK4nxOLu4Et6+Pe++83aVXpODgwPr169n1qxZ5Ofn4+vry4ABA3jnnXfMUnhQ02i0GmLSYkgvSGf/1f3kqfJo4tbE6IGI+gReH0cfHK1r/kFIX0pdV0JIdWUSNQgBY1K6Nq5PRDNPdp1P55O/z/H1CBOVrZbBV7suolRr6dTIgx5N61d+QA0QtekMy/bEldougWF7XRcxGq1EdFwGablFJSqMUivwvtyOpQwF1SNTKHDsbFy5tKnw9fXlq6++4quvvip3zZ0Jv926dePEiRPlrrl9lElZTJ4+g2Evv1pim0wmY8RLYxnx0ljDtoYeDrg56EJOvXv3NirxuHXr1uzcubPSdXWR7QnbmRc9j2sFJftkdfXrapT3BcwbPoJbIaS6UoUkyqgF5TJzYAv+uZDOppOpxCRm0r5h5X0hqkpSRgE/HU4CYFq/EIvwvijVWpbvLS1ebmf53jim9WtucX1qTMWWUynM3nCmRKiovpMN3i52nL5acWdoMaW65pEkiQKlhvTcYnKKjMtvKFZrkSTJIv7mLJ3tCduZunuqYfLx7fzvzP9o59XOKC+MXsCYI3wEt0qp60ofmLoUQqqbdxIz0szHmSHtdSMG5m06Vy2loV/uuIhKI9GjaX06B5s/XwLgfwfiqSz/VCvp1tVFtpxKYdzqmFJ5LtfzlJy+moNCDn2aeyGj9FBQ/c+WMhS0riNJEtmFKi6n53M5Pc8gXuRGiJJrOUWcv5bL9bxii0i4tlQ0Wg3zoueVKV70zI+eX2leiUar4WjaUQDkyM2Sh2IIIYkcGItDCJhqYGq/EGyt5ETHZ7D9bFrlB1SB2PQ81sVc0V2nb4hJz10VVBotp5Kz+d+BeKb+fIwvbk7BroyEjIJqtqzm0VcYVXQ7q+doyzfPdyhzKKiPq121llALdGi1Ejfyi7lwLY+EG/kUKNXIZDI8HG0I8XYmwKPiD3RXe2us5DKUai1Xswo5l5pDanYhKk3dGPJnSmLSYkqFjW5HQiK1IJWYtJhy12xP2E7/df05feM0oJub1H9df7YnbDe5vRVRZ3NgxCgBQVn4utrzYvcgluzWjRiIaOZpsgZzC7dfRCtBZAsv2lVDeKo8UrILOZqYxdHETI4lZXEyOZsiVdU/uAM9av8fzZ1UVmEEkJZbTHRcBgNa+dI31KfMPBlB9aDWaMnIV3I9T4n6ZvmyQi6jnqMN9Zxssb75t2lnrSCwHlzNKiohSqwVcvzc7HC1t0GrlcgsUHI9r5hitZa03GLS85S421tT39nWooaompP0gvR7Wlde+CmtII2pu6fyWe/PjE4CvlcMISSRA2NxCAFTTYzr3ZgfoxO5lJbHL0eu8HSnex8xcC41hw0nrgLwWjV6XwqUak5eyeZoUhbHErM4mpTJtZzS/Spc7Kxo29CdtgFutPZz4ZXVRyoMI8ll8FyXRtVmt7moaoWRfihoTWDuKenmRKnWcj2vmIx8Jdqb74O1Qk59J1s8HG3KFI2u9ja42FmTX6xBrdViJZfjaKsw5LzI5TLq3Tw+p0hNem4xBUo1GQVKMgqUONtZ4+lkg6Ot1T3lydT2/zdPB8+7XldR+ElCQoaM+dHziQiIKDGrqLrQe2DqioCpSyEkIWCqCRc7ayY+2JQP/zrD59su8Gjbex8x8Pm2C0iSrudMSz9Xk9ip1UrEXs/TeVduCpbz13JLxfcVchnNfZxpG+BGu4butGvoRlA9xxLN817uEVRmFdLt++tiAq+xlUM1WWGkuFnqrFQqDcMJ7xcKVRqu5xaTVaAy3ATtrBV4Otni6mBdaa6LTCbDya7iv1WZTIarvTWu9tbkF6u5nldMdqGK3CLdl721Ak9nW1zsK79eWRQU6J6Sa+uwR08HTxQyRblhFxkyvB28ae/VvtS+qoSfOvp0NJnN5aH3wNS5EJIooxZUxLMPNGTl/jiSMgr5dm8ck+5hxMDJK9n8ffoachm81vfuz5OZr+RYki4UdDQpi2NJWeQWlX6y8HGxo11DN4Ngae3vir1NxU87+hLpO/vAyGU68VJXS6g7BXng62pHanZRmXkw5qgwsrKywsHBgfT0dKytrUvNJ6tr6CqK1GQWqMgvvvX77GCjwMPRBgcbK2QyLcpq6HyrALwdFbjbQGaBiuwiFQVqJQmFhVjL5bg52uBqb21UmFCSJAoKCkhLS8PNzc0gRGsTMddimLJrSoXiBWBGpxllelDuNfxkauqaB0Y/SkB4YAQVYmulYHq/Zrz64zGW7Ynl6c4Nqe9kfOOq23uKfPevzrPxWFt/o4ciKtVazqbkGATLsaQs4m+UTqK1s5YT5u9mECxtG7rh63p3v9xvDgplWr/m/O9APAkZBQR6OPBcl0Z10vOiRyGXMWtwKONWxyCDEiLGXBVGMpkMX19f4uLiSEhIqLHr1jSSBEUqDbnFKpRq3TsvA+xtFDjZWqG2kpOWXbM2KbQSeUo1+UVqNBIkoxPxjrZWONlaGfV74Obmho+PT/Uba2I2XN7ArP2zUGlVhNYLZVjIMJYeX1rCo+Lt4M2MTjPKzWG5l/BTdWDwwNS1KiQxSkBQGYPD/Pi/vXGcTM5m0Y6LzDZyxEBZPUUA2jV0K3O9JEkkZxXeFCs6wXLqag5KdelE22BPR9oFuNO2oRvtAtxo5uNsSGQ0BTZWcl7qYZ6eDeZiQCtfljzbvtT/mauDNfOeaG2WCiMbGxuaNm2KUqms8WtXN0VKDX+fTuWXI1dIydZ9INso5Axo5cPQ8Ab4u5vfPV6s0rDt7DV+OXKFKzer7xRyGQ8292JYeACNvZzKPM7a2tpknpfyGiuaGq2k5aujX7H8pG6+VGTDSD7q8RH2VvY83uRxQydeTwdP2nu1rzB3pb1Xe7wdvMsNI1UUfqoODB6YOtAHRqPVUKzReSGFB0ZQKXK5jDcHNueZ/zvEmpsjBhpVMmJA31OkrHDEe3+cxtPZlu5NPTlxJcsgWI4lZZGeW9o97uZgrQsD3RQsbRu44epQO+Pqls7tFUbf7Ytl29k0ujauZ9byaLlcXmJIam0nM1/J9wcSWHUgnox8nTBzc7Dm+S6NGNklkHpV8HBWN3Z2MLRTME90CGLnuTS+2RtLdFwGKw9dZeWhq/RoWp8xPYPp3qR+iYRfjVbiwOUb9yw6ynoI8nW1Y9bgUJP+ThaqC3l739tsS9gGwOjWo5nUbpKh065CrqhSropCrmBmp5m8tvu1UvsqCz9VB3WpE2+R5tbvgsiBERhF1yb16d3Mk93n0/nk7/MsHlH+k0NlPUUkYOLao2i0pXP0reQyWvi6lMhdaVTPQXQNrUH0FUb2Ngq2nU3jn/PpFKs12FrVvlwGSyIpo4Bv98Xx0+EkClU6V34Dd3te7hHMsA4N7jlBvjqRy2VEhnoTGerNsaQslu+NZfPJFPZevM7ei9dp7uPMmJ7BPBzmx85z10wiOsp7CErNLmLc6hiT9R1KL0hn0s5JnL5xGiu5Fe93eZ9Hmzx6z+cN9w5HjhwtJT3IlYWfqgPDMMc6kMSrL6GWIcNWYTli/26x3L/6OsaMAc3550I6G0+mMDoxs9weLsb0FFHfzJD1d7O/KVR0gqWVv6voQ2EhhPm74u1iy7WcYvZfvkFEM8uZFl6bOJWczbI9sWw6mWKojGvp58IrvRozqJWPyfor1RRtA9xY/Ex7kjIK+O5fnSA7l5rL1J+P88GGM2QVlh5pUFXRUdFDkIQuR2j2hjP0DfW5p3DSuYxzTNwxkWsF13CzdWNhxELCvU0z/2174na0aGnu3pw3Or1hdPipOqhLnXhvL6GuCw+2QsDUEC18XRjSvgG/HrlC1OZz/DTmgTJ/gYztKfLhoy3rZE+VuoJcLqNvqDerDyay9fQ1IWCqgCRJ7Lt0nWX/xLLv0nXD9h5N6/NKz8Z0a1Kv1n/4Bng4MGtwS6b0CWFNdALf7Yvjel7ZuUp6ITJz/Uky8pUUKDXkFqnJK1aTd/Pf3GI1eUUq8orV3Mgr5kZ++bOdJCAlu4jouIy77ke0K3EXM/bOoFBdSJBrEIsfXEyAS8BdnasstsRtAWBg8MAaKZWuiLo0C6ku9YABIWBqlKl9Q9hw/CrRcRnsPJdGnxbepdYY2yvE2EokgfnoF+rD6oOJbDtzjbmPtSrRM0dQGrVGy8aTKSz7J5YzKbrhlwq5jIfDfBnTM9hkvY8sCVcHa8b3bkIrPxee/+5whWuzClS89dspk13b2Iel25EkiVWnV/HZkc+QkOji24VPe3+Ki42LyexKL0jncKruvejfqL/Jznu31KUcGH0JdV0YIwBCwNQofm72jOoWxNJ/LjNv8zl6hZQeMWCJPUUEd8cDwfVwtrXiel4xR5OyCA+sudEPtYkCpZqfDifxf3vjSM7Sl3gqeKpjAC91DyKgDo6fuJPMAuOmYbf0c6GJlxNOtlY42VnhfLM028nOGidbK5ztrIi7ns87v1cudKraWFGlUTHn0BzWX1wPwJMhTzKz80ys5aYtCtiasBUJiTaebfB38jfpue+GOhVCUgkPjOAeGNe7MT8eTuRimm4o41MdS44YsMSeIoK7w8ZKTkRzL/48fpWV++O4klkgZh/dxvW8Yr7fH8/3BxPIunkDr+dowwtdG/HsA4G4O9qY2cKaw1gx8c5DoZWGfR4IrsfiXZdM+hCUXZzNa7tf43DqYeQyOW90fINnmj9TLaG8zXGbARgYNNDk574b6lISrwghCe4JV3trJkY0Yc7Gs3y27QKPtPEv1eG2vJ4iPtVQAimoXrxcdJn+G46nsOF4ClA9pay1ifjr+SzfG8uvR65QfLNPUaN6DozuEczQ8Ab3ZSK6KT2v+oegsatLT3q+m4eg+Ox4Ju6cSEJOAo7Wjnzc82N6Nuhp1LFVJTkvmePpx5Eho19gv2q5RlXRh5BUWuO8ZJaMIYRUB0qoQQgYs/Bcl0BW7o/nSmYh3/0bx4SIJqXWiKnFtZ8tp1L4dm/p2VCmLmWtLRxPymLZnstsPpWKflZhmwaujO3VmH4t760iprZjas/rgFa+dAmux4HYGyW2V/Uh6FDKIabunkqOMgc/Rz8W9VlEiHv1DZL9O/5vADr6dKyxTruVUZc68QoPjOCesbVS8Hp/3YiBJbsvM7xjQJkNuGpyarHAtNRUKaulI0kSu8+ns2zPZQ7GZhi2RzTz5JVejekc5FHrK4pMhSk9r4VKDSeuZAHw/uBQ3B1tqvwQtO7COuYcnINaUhPmGcYXEV9Q375+lV5TVdFXHw0IGlCt16kKhhyYuhRCqgNjBEAIGLMxOMyP5XtjOZWcw6Kdl3j/kZbmNklgQirr52OKUlZLRqnWsuH4Vb7ZE8v5a7mArtHio239GdMzmGY+ooquLEzled129hr5Sg0N3O15vkujKlXAabQaPj/yOavOrAJ0uSgfdvuw2hufxWXHcTbjLFYyKyIb1lyjusqoS8Mc69IgRxACxmzI5TJmDmjBs98eYs2hBEZ1a0RgvYpHDAhqD8aWqN5NKaslk1es5sfoRL7dF2cQcI42Cp7p3JBR3YLwc6sbH5zViSk8r7/FXAHg8Xb+VRIvBaoCZuyZwe4ruwEY33Y8Y8PG1oiXTO99ecDvAdztLKdiry72gRE5MIJ7pnvT+vQM8WTPBd2Iga+eqZnhZILqx9iqkqqWsloqaTlFrNgfz+qDCeQW6T7oPZ1tGdWtESM6B+JqL+Zv1RTpucXsuahrAPh4O+PLkFPzU5m4YyLnM89jI7dhTvc5NVYJJEkSm+N11UeDggbVyDWNpS6VUetHCQgPjMAkzBzQnL0X0/nrRAov98iiTYCbuU0SmID7pZ/P5fQ8lu+JZX1MMkqNrqIo2NORV3oG81g7fzEDygxsOH4VjVaiTYAbwZ5lT7y+k5PpJ5m8azLXC69Tz64eXzz4BW0821Szpbe4kHmBuOw4bOQ2RARE1Nh1jcHggakDISSRxCswKaF+Ljzezp/1Mcl8tOksP5YzYkBQu6ioqkRPbe7ncyQhg6X/xLL97DVDRVF4oDuv9AwmsoW36DpsRn4/lgzA4239jFq/JX4L7+x7h2JNMU3dm/LVg1/h52TcsaZC3/ulZ4OeONkYJ7pqirqYxCs68QpMxrR+zfjrRAqH4jLYcfYajrbWonS6DlBeVYm1Qsaip9vVuhJqrVZix7k0lv1zmf8SMg3b+4Z680rPYDo0qt3epLrApbQ8TlzJxkouY3CbikWIJEl8c+Ibvjr2FaATDx/3/BhH65rNxZMkiS3xlld9pEck8VouQsCYGI1WqnIFgb+bPaO6NmLZnljGro4xTJsG0fSstnN7VcmltFxm/XkalUYy2rVvCRSrNfx+NJlv9sRyOT0fABuFnMfb+fNyz2CaeNWe11LX+e2oLnm3V4hnma0Z9BRripm1fxYbYzcC8Fzoc0wLn1bjk54BTl4/SXJeMvZW9tXWIO9eMPSBqQseGDFKQFAeW06llHraNlaAhHjrykpvFy9w/zY9q0voq0q6NK7H3ovX2XrmGj9GJ/He4FBzm1Yh2YUq1h5KZMW/caTlFgPgbGfFsw8EMqprI7xc6kYCcl1Bq5X4/ehVAB6rIHn3RuENpuyawrH0YyhkCt7q/BZPNnuypswshT58FBEQYZE31rrkgRE5MIIy2XIqhXGrY0rlOhgjQDRaiU+3ni9z3/3U9Ox+4OlODdl65hrrj17hjQHNLLJtfkp2ISv+jWftoUTyinUf2j4udrzUPYjhnQJwthMVRZbI4fgMkrMKcba1om9o6Un3AJcyLzFx50SS85JxtnFmQa8FdPHrUsOW3kKj1Ri671rK7KM7qYudeEUZtcCAMV1XZ/15miZezhSrNRQqNRQYvtScSs6+r5ue3U/0DPHEz9WOq9lF/H06lUfbmn/arp7zqbl8syeWP48no9LofptDvJ14pWdjBrfxw8ZKXskZBObkt6O65N2BrX3KFMb7kvcx/Z/p5KvyCXAO4Ks+XxHsGlzTZpYgJi2G9MJ0nG2c6erX1ay2lIfBA1MH+sAYcmBEJ16BHmO6rl7LKSbys3/u6Tp1renZ/YhCLuPJjgEs3H6RH6ITzS5gJEmXs7VsTyw7z6UZtncO8mBsr8b0buYpquJqAUUqDRtP6oaFlhU+Wnt2LfMPz0craQn3Dmdh74W42bnVsJWl0Tevi2wYiY3CMqeP6/OCRAjJ8hACxgQYKyxsreS42FvjaKPA3sYKBxsFDjYKCpWaElUd5VFXmp7d7zzZIYAvd1zkYGwGcdfzCapf8x2YNVqJradTWbYnlmNJWQDIZDCgpQ9jegbTrqHldEIVVM7Oc2nkFqnxc7XjgaBbXlq1Vs386Pn8eP5HAB5r8hjvPfAe1grzhwFVWhXbErYBlll9pMdKVgfLqEUISaDHWGGxclSnMkNAGq1E9/k763zTM4EOPzd7eoV4sut8Oj8eTuTNgS1q7NpFKg3rYq6wfE8s8Td07mQbKznDwhswukewWcSU4N5ZH6MLHz162+iAXGUu0/+Zzv6r+5EhY0r4FEa1HGUxHrXolGgyizPxsPOgk08nc5tTLnKZLnSampfK4dTDtPdqb5ZqrXtFpVEZvEjCAyMwcK9dVytqeqb/qKnNTc8EpRneqSG7zqez7sgVpvVtVu35JVkFSlYfTGDl/niu5ykBcLW35vkugTzfpRGeztU7qE9QfWTkK9l9Xhf+e+Jm+CgpN4lJOyZxOfsy9lb2RHWPok9gH3OaWQp99VG/wH6GPBNLY3vCdj45/AkAF7Iu8OLfL+Lt4M3MTjOJDLScgZPGoM9/gbrjgRFZeSZAL0DKwlgBom965uNa0pvj42onSqjrIA8298LT2ZbreUp2nL1Wbde5klnA7A2n6TpvJ59uvcD1PCX+bva893Ao+2c+yLR+zYR4qeVsPHEVtVaipZ8LTb2dibkWw4iNI7icfRkvey9WDlhpceKlWFPMjsQdgOVWH21P2M7U3VPJVmaX2J5WkMbU3VPZnrDdTJbdHfrwkZXMyiJCiKbAMmVvLWRAK18+GRrG9F9PlNjuU4VGdLc3PROdeOs21go5T3ZowOJdl1kbncjA1qYVqGeu5vDNnstsOJGC5mZvoRa+LoztFcyg1r5YK8SzS11h/c3qo8fb+bPh8gZm7Z+FSquihUcLFj24CG/Hskuqzcm+5H3kqfLwdvCmrVdbc5tTCo1Ww7zoeUhl+NQlJGTImB89n4iAiFoTTjIk8NaRCiQQAsakONjq3s4Ad3um9292VwJE3/RMUPd5qkNDFu+6zL5L10nKKCDA497cupIksf/yDZb+c5m9N6cRA3RvUp8xPYPp0bS+xeQ/CExD3PV8jiZmIZdpuW79B1/s+w7QVfXM7T7XYmfe6KuPBjQaYMgxsSRi0mK4VlC+Z1RCIrUglZi0GDr6dKxBy+6eujZGAISAMSn/XtLdNCJDvc1eHiuwfBrWc6B7k/rsu3Sdn/9LYlq/Znd1HrVGy+ZTqSzbc5lTyTkAyGXwUJgfr/QMppW/qynNFlgQvx9NBpkS/2Z/sOb8EQBGtx7NpHaTLFIYaLQa9l/dbwgf9W/U38wWlU1iTqJR69IL0qvZEtOhHyNQV/JfQAgYk3Lg8g0Aujaub2ZLBLWF4Z0CDALm1T5NsapCaKdQqeGXI0ks3xtLUobuw8nOWs5THQIY3SP4nj06AstGkiTWnziDQ+A3ZMmuYCW34v0u7/Nok0fNbVqZbE/YzrzoeSU8G6/tfs2iEmLzVfmsPrOab099a9R6TwfParbIdNS1HjAgBIxJ0GgltpxKIfZ6PjKgQyPRQ0NgHH1DvfFwtOFaTjG7z6cTWU4L+NvJyFeyan883x+IJ7NABYCHow0juzTiuS6BeDhaZkMwgWn57XQ0Ga6forDOxtXGjS8eXEi4d7i5zSoTfULsnTkl+oTYz3p/ZlYRU6Aq4MfzP7Li1AqyirMA3QiB8nq/yJDh7eBNe6/2NWjlvSEEjKAUdw5wlIBBX+wVE6QFRmFrpWBoeAO+2RPL17suka9Ul5s7lXijgP/bF8vP/yVRpNIC0NDDgZd7BDE0PAB7m9qRTCi4d3Ym7uSDI28gty7GUebHDw/9HwEuAeY2q0wsOSG2SF3Ez+d/5ttT35JRlAFAI5dGjGszDiu5FdP/mW6wU4/sZm3pjE4zak0CL9S9MQIgBMw9cS8DHAUCPX5uutL5mKQsYn48BpScYn7ySjZL91xm88kU9MPKW/u78kqvYAa09KlS2ElQu5EkiVWnV/HZkc+QkFDnNWX2gwssVryAZSbEKjVK1l9cz/ITy0kr1PXQaeDUgHFtxzEoaJChL81nss9Khb28HbyZ0WmGxYS9jKWudeEFIWDuGmMGOIoJ0oLK2HIqhdl/nim1PTW7iLGrY2jm7cT5a3mG7b1CPHmlVzBdguuJiqL7DJVGxZxDc1h/cT0AyszOuBYMI7JZI/MaVgnGJrrWREKsSqviz0t/suzEMlLydbOjfB19eSXsFR5p8gjW8pL9USIDI4kIiNANnSxIx9PBs9Z24hUhJIEBYwY4pmQXMW/zWR5t60+It7OY5isoQWUiGOD8tTwUMnikrT9jegbTwtelJk0UWAjZxdm8tvs1DqceRi6TE8jTnEhtxWM9G1r8A5Kxia7VmRCr1qrZFLeJJceWcCXviu569p6MCRvDE02fqHCQpEKuqDWl0hVRoBJl1IKbGDvAcfneOJbvjcNGIaeFrzOt/F0Ja+BKK39XQrydRUOx+5jKRLCehcPbMbiNXw1YJLBE4rPjmbhzIgk5CThaO/J+5ygmf1cEaHmsFrRraO7e3GwJsVpJy5a4LSw5voT4nHgAPOw8eKnVSzzZ7EnsrO6fAbkihCQwYOwAx1Z+LiRmFJBTpOb4lWyOX8lmzSHdPhsrOS18XQjzd6W1vyutG7jS1MtJ5DTcJxgrgrVSWT4awf3AoZRDTN09lRxlDn6Ofizqs4j/Ltih1JykuY8zoX6W7ZGTJIlZB2ZVKF7A9AmxkiSxI3EHi48t5lLWJQBcbV0Z1XIUTzd/2mIb/FUnIoQkMGDsAMc/JnZHLoOkjEJOJGdxMjmbk1eyOZmcTW6RmuNJWRxPyjIcZ2slJ9RPJ2p03ho3Gns6ClFTBzFWBBu7TlC3WHdhHXMOzkEtqQnzDOOLiC+ob1+ft4/uB3SjAyydb099y7aEbVjJrRjfZjw/nf+pWhNiJUliz5U9LD62mLMZZwFwtnbm+ZbP82yLZ3GycTLJdWojBg9MHRJvQsDcJVWdIN2wngMN6znwcJguFKDVSiRmFHAiOZtTydmcuJLF6eQccovVHE3M4mhiluF8dtZyWvrd9NLcDEEFezpZfOxbUDH3OsVcUDfRaDV8fuRzVp1ZBeiGHX7Y7UNsFbYkZRRwOD4TmQweaWvZYcW9V/byZcyXALzV+S2GhQzjxVYvVktCrCRJHLh6gMXHFnPium4enYOVA8+GPsvzoc/jaiu6UYscGEEJ9BOkb+8DA8YNcJTLZTSq70ij+o480uaWqIm/kW/w0pxIzuZ0cjb5Sg1HEjI5kpBpON7BRkFLPxdDTk1rf1eC6t+dqNFoJTFA0gxUVQQL6j4FqgJm7JnB7iu7ARjfdjxjw8YaKs5+vzm4sWvjevi6Wu6NKCEngRl7ZyAhMTRkKMNChgHVkxB7OPUwXx39ipi0GEB3gx7efDijWo7C3U40FdUjQkiCUphygrRcLiPY04lgTyfDLCWtViL2ej4nk7M4eSWHk8lZnL6aQ4FSw+H4TA7H3xI1jjYKnaemwa1E4aB6jsgrsOXORnxQsgeJoHq5FxEsqFuk5qcyccdEzmeex0Zuw5zucxgYNNCwX5IkfjNMnm5gLjMrJV+Vz6s7XyVXmUtbz7a82enNarnOsbRjfHX0Kw6l6pIKbeQ2PNnsSV5q/RL17cU4lzsRAkZQJtU5QVoul9HEy4kmXk483k63TaOViE3P42RyNidu5tOcuZpDvlJDdHwG0fEZhuOdbK1o6ediEDRhDdwI9HBALpeJRnwWgilFsKB2cjL9JJN3TeZ64XU87Dz48sEvaePZpsSa41eyib2ej521nAGtfMxkacVIksQ7+97hcvZlvOy9+Kz3ZxWWKN8Np66f4qtjX/Fv8r8AWMmtGNJ0CC+3fhlvx8pHcdyPaLQarhfqhg0n5SSh0WpqZS+bO5FJUt0sccjJycHV1ZXs7GxcXCw7U98UqDVaLqfrw0+6ZOHTV3MoVmtLrXW+KWpO3gxPlYU+/2LfjAfFjVQgqEa2xG/hnX3vUKwppql7U7568Cv8nErnt7z/52lW7o/nkTZ+fPl0OzNYWjnfnPiGRUcXYS23ZsWAFaVE2N2g0WqISYvhRPoJdiXt4nj6cUA3q+ixJo8xJmxMme+XQEdZQzS9HbwtaojmnRh7/xYemDqClUJOMx9nmvk4MzRc515Wa7RcTMsrUfl0JkWXKHwwLqPC8+kb8UXHZVSbd0kguJ+RJIlvTnzDV8e+AqBng5583PNjHK0dS61VabRsOH4VgMfbW2b10Z4re/jqqO61vN35bZOIl+0J25lzcA43im6U2N7BuwMfdP3AokcoWAKWPkTzXhECpg5jpdD1mWnh68KTHXR/6CqNlovX8vjfwXh+iE6q9BzG9ioRCATGU6wpZtb+WWyM3QjAc6HPMS18Wrlu/T0X0rmRr6S+kw09mlhefkd8djwz9uiSdp9q9hRDQobc8znXnl1LVHRUmfuOXDvC+czzQsBUgCUP0TQVornIfYa1Qtdn5pE2xj3FiR4kAoFpuVF4g9F/j2Zj7EYUMgXvPvAub3R8o8KbiD55d3AbP4vrCZWnzOPVXa+Sp8qjvVd7ZnSccU/nu5J7hbf3vl2ueNEzP3o+Gm3ZIXBB1YZo1laEB+Y+pbIeJKCrRhI9SAQC03Ep8xITd04kOS8ZZ2tnFvReQBe/LhUek1OkYtsZ3Y3oCQurPtJKWt7e9zax2bF4OXixoPcCrBXWlR9YBqn5qSw7sYzfL/6OWlJXuNYcE6xrG5Y0RLO6sCwpL6gx9D1I4FbPkTt5upPlD4oTCGoL+5L38ezmZ0nOSybAOYDVD62uVLwAbDmZSrFaSxMvJ1r5W1ZBwrITy9iZtBNruTULey+8q/Ll9IJ0Pjr0EYPWD+LXC7+iltQ0dWtq9LGCsjF2OGZZOVe1hWoRMMnJyTz77LPUq1cPe3t7WrduzX///WfYL0kS7733Hr6+vtjb2xMZGcnFixdLnCMjI4MRI0bg4uKCm5sbL730Enl5edVh7n2LvgeJj2vJMJHtzanZy/fGci41xxymCQR1irVn1zJhxwTyVfmEe4ezdtBagl2DjTr2Vu8Xf0NDO0tgd9Juvj72NQDvPvAurT1bV+n4G4U3+OTwJwxcP5Afzv2ASquio09HVg1YxZudjesdU50TrGs77b3a4+3gbZg3VR6z9s9iU+wmamNBsslDSJmZmXTr1o2IiAg2b96Mp6cnFy9exN39VkfEjz/+mC+//JJVq1YRFBTEu+++S//+/Tlz5gx2drqb6YgRI0hJSWHbtm2oVCpGjRrFmDFjWLt2ralNvq8pqwdJWANXXlgRzeH4TEZ+F826cV1p4F535mcIBDWFWqtmfvR8fjz/IwCPNXmM9x54z+gwy9WsQg7G6SpwHrWg0QGx2bG8uVcnMoY3G87jTR83+tisoixWnl7J2nNrDc3V2nq2ZWK7iXT27QzoElC9HbxJK0grMwkVwFZhS5BL0D2+krqLQq5gZqeZTN09FRmyEu+j/mdPe0/SC9OZsXcG6y+t5+3ObxPkWnveU5P3gZk5cyb//vsve/fuLXO/JEn4+fkxbdo0pk+fDkB2djbe3t6sXLmS4cOHc/bsWUJDQzl8+DAdOnQAYMuWLQwaNIgrV67g51f5H/L91gfG1GQXqBi2bD8XruUR7OnIr2O74uFo2oZUAkFdJleZy/R/prP/6n5kyJgSPoVRLUdVyYvy9e5LfLzlPJ2DPPjplcrDTTVBrjKXZzY+Q3xOPOHe4SzvtxxreeWCLEeZw//O/I//nfkf+ap8AFrWa8nEdhPp5tet1PuyPWE7r+1+rcJzejl4Ma/HPJEHUwFl9YHxcfBhRqcZ9GzQkxWnVrD85HKKNcVYy60Z1WoUL7d+GTsr8xVwGHv/NrmACQ0NpX///ly5coV//vkHf39/xo8fz8svvwxAbGwsjRs35ujRo7Rt29ZwXK9evWjbti1ffPEF3333HdOmTSMz81abfLVajZ2dHb/88guPP15a7RcXF1NcXGz4OScnh4CAACFg7oGU7EKGfL2fq9lFtA1wY+3LnXGwEXnfAkFlJOUmMWnHJC5nX8beyp6o7lH0CexTpXNIkkS/z/dwMS2P+UNa81THhtVkrfFoJS2v7nyV3Vd24+3gzU8P/0Q9+4r7ROWr8llzdg0rT68kV5kLQDP3ZkxoO4HeAb0rFHQrT61kwZEFJbb5OPgwosUI1l1cR3xOPDJkjAkbw9g2Y7GSi8+nstA3AyxviGZSbhJRh6LYm6xzPPg7+fNW57fo2aCnWew1VsCYPAcmNjaWJUuW0LRpU/7++2/GjRvH5MmTWbVKN1k1NTUVAG/vki2fvb29DftSU1Px8vIqsd/KygoPDw/DmjuJiorC1dXV8BUQIPoD3Cu+rvZ8/1In3BysOZaUxYQ1Mag0pTv7CgSCW8Rci2HExhGGdvorB6yssngBOH01h4tpedhYyS1mpMfS40vZfWU3NnIbvoj4okLxUqguZMWpFQxcN5BFRxeRq8ylsWtjFvRawM+DfyaiYUSF4kWj1ZCv1nlq/Bz9iOoexXf9v2PLkC280OoFfnr4Jx5t/CgSEstOLOOlv18iNb/s+8P9jn6I5qDgQXT06ViqZD/AOYDFfRbzee/P8XbwJjkvmQk7JvDartcs+j01uYDRarW0b9+ejz76iHbt2jFmzBhefvllli5daupLleDNN98kOzvb8JWUVHmTNkHlNPFy5tuRHbGzlrPrfDoz152slcleAkFNsOHyBkZvHU1mcSYtPFqw9qG1hNYLrdI5NFqJA5dv8OnW8wBENvfC1f7uSpNNyY7EHSw5vgSA97q8R8v6LctcV6wpZvWZ1QxcN5DPjnxGZnEmgS6BzOsxj3WPrKNfo37IZRXferYnbKf/uv4sPa67b1zNv8rCmIVkF2cbbr4O1g7M6T6HeT3m4WjtSExaDEP+HMKOhB0mfNX3DzKZjMjASP587E9Gho5EIVOwPXE7j/z+CKtOr0KlVRnWarQaDqceZlPsJg6nHjZbPx6T+9t8fX0JDS35B9uiRQvWrVsHgI+PbgjZtWvX8PW99VRx7do1Q0jJx8eHtLS0EudQq9VkZGQYjr8TW1tbbG1tTfUyBLcRHujO4mfaM+Z/R1gXcwVPZ1tmDmxubrMEAotBK2n56uhXLD+5HIDIhpHM7T4XB+uqJb+XNR3+QOwNtpxKMasXJjYrlrf2vgXAiBYjeLTJo6XWqDQq1l9czzcnvyGtQPf57e/kz9g2Y3k4+GGjwztVbX//UPBDhNUP4/U9r3P6xmmm7J7CU82eYnqH6WbN46itOFg7ML3jdB5p8ghzDs7haNpRPv3vU/64/AfvPvAuNwpvWMxsJZN7YLp168b58+dLbLtw4QKBgYEABAUF4ePjw44dt1RyTk4Ohw4doksXXZJaly5dyMrK4siRI4Y1O3fuRKvV0rlzZ1ObLDCCPi28iXpCVya59J/LfLcvzswWCQSWQaG6kOn/TDeIl9GtR7Og94K7Ei/jVseUEC8AWQUqxq2OYcupFJPZXBVylbm8uutVCtQFdPDuwLQO00rsV2l1wuXh3x5mzqE5pBWk4ePow3td3mPDYxt4rMljRouXytrfQ9kdeANcAvjfwP/xQssXAPjp/E88s+kZYrNi7+IVVw+W4rUwlhD3EFYOWMkHXT/AzdaNi5kXeX7z87y2+7VSHX714nJ7wvYatdHkSbyHDx+ma9euzJ49myeffJLo6GhefvllvvnmG0aMGAHA/PnzmTdvXoky6hMnTpQoox44cCDXrl1j6dKlhjLqDh06GF1GLaqQqofFuy7xyd86gfrl0+14pI3llHYKBDVNekE6k3ZO4vSN01jJrXi/y/tleicqQ6OV6D5/Zynxosdc0+G1kpZJOyex58oefBx9+PGhHw15Lxqthk1xm1hyfAlJubqQvae9J6Nbj2ZoyFBsFFWvWjycepgX/36x0nXf9f+u3Mqjfcn7eHvf22QUZWCnsGNmp5k80fQJs/bQqY0ToW8nqyiLz498zvpL68tdI0OGt4M3W4ZsuefZSmabRt2xY0d+++033nzzTT744AOCgoJYuHChQbwAvPHGG+Tn5zNmzBiysrLo3r07W7ZsMYgXgDVr1jBx4kT69OmDXC5nyJAhfPnll6Y2V1BFxvduTHpuMSv3xzPt52N4ONjQvanlDZcTCKqbcxnnmLhjItcKruFm68bnvT+ng0+HuzpXdFxGueIFzDcdfvGxxey5sgdbhS0LIxZSz74eWknL1vitfH38a+KydZ5YDzsPXmz1Ik81e+qewjamaH/f3b87vw7+lbf2vcXBlIO8f+B9DqQcYFaXWTjbON+1bXdLTU+EliQJlVaFSqtCqVHqvrRKVBoVSq2yxDa1Vl3iZ6VGWfo4rQqVRkVGUUbF1zXDeAeTe2AsBeGBqT60WolJPx5l44kUHG0U/DimC60buJrbLIGgxtiZuJOZe2dSqC4kyDWIxQ8uvqfJyH8cS+bVH49Vuu6L4W15tK1xg1jvldv7sHzU/SMeDn6YnYk7WXx8MRczdZ3TXWxcGNVqFM80f6bKIbOyMIUHRo9W0rLi1Aq+OvoVakmNv5M/83vOp41nm3u201g0Wg391/WvcKiik7UTz4U+h1qrNkp4VLbm9mRbczC/x3wGBQ+6p3OYzQMjqPvI5TI+e7INmflK9l++waiVum69gfVq70wNgcAYJEli1elVfHbkMyQkuvh24dPen+Jic28PScZOfa+p6fCXMi/x9r63AXi2xbO42rry1F9PcTbjLKC76T7f8nmea/EcTjZOJruuvv19eR149WGK9l7tKz2XXCbnpdYv0cGnAzP2zCA5L5kXNr/AxHYTGdVqVKWVUKagsonQAHmqPEN1V3VgJbPCWmGNjcIGG7kNNgobrOW3frZWWJf410ZReo2Nwoa0gjT+uPxHpderyfEOQsAI7gpbKwXLngvnqWUHOZOSw3Pf6kSMp7OoBBPUTVQaFXMOzWH9RV0ewJMhTzKz80yjutBWhpezLXIZaMvxh+tzYGpiOnx2cbYhaRfgaNpRVp9dDYCDlQMjWoxgZMuRuNqa3ut6e/v7O9HP9JnRaUaVcizaeLbh58E/88GBD/g7/m8WxizkYMpBonpE3dXwyapgbEisk08nGrs1viUw9KJCLyLKEBTlbbOSW5XYZiqhptFqOJhy0CTi0lSIEJLgnkjLLWLIkv0kZRTSyt+FH8d0wclW6GJB3SK7OJvXdr/G4dTDyGVy3uj4Bs80f8YkiaHnU3N59ttDpOcWl7lff4Ulz7av9lJqjVbDxJ0T2Ze8r8R2O4UdTzd/mlGtRuFu517O0aZje8J23t//PtnKbMM2ffv7u80XkSSJ9RfXMy96HkWaIjzsPJjbfS7d/bubyuxSmDIkZgno83mAUrOVAJPl85htlIClIARMzRF3PZ+hS/ZzI19Jtyb1+O6Fjtha3VsWukBgKcRnxzNx50QSchJwtHbk454f33WLdY1WKjE41dZKzourDpNVoKK5jzOjugWxcPuFEgm9vq52zBocWiN9YEb/PZpDqYcMP9vIbXiy2ZO81PqlavdW3Mnas2uJio6iVb1WTO0wtVT7+7vlctZlXt/zuiGP54WWLzC53WSjB2xWBY1WQ99f+5JeWLYnxpSVOzVFRbOVTJWMLHJgBDVGUH1HVozqyPBvDvLvpRtM+/k4Xw5vh7wGyz0FgurgUMohpu6eSo4yBz9HPxb1WUSIe8hdnausJnUydBVGbQPcWDWqE64O1gwNb1BC5HQK8qj20unTN04z/K/hJbY91ewpRrcejY9j2c1Dq5us4iwAQuuFmtQ70ditMWsHreXT/z7lp/M/sfL0Sv5L/Y+Pe358T4nYZSGXyfFx9ClTwNxtSMzcRAZGEhEQUeFspZpCCBiBSQhr4MbSZ8N5ceVh/jqRgqezLe89HGrW3gsCwb2w7sI65hycg1pSE+YZxhcRX9y1F0LfpO5Od7f+55FdG+HqoPMAKOSyGiuVPp9xnsXHFrMraVeJ7VuGbMHfqWaqncpDX7ZbHSErOys73nngHbr4duHd/e9y6sYphv01jHcfeJeHgh8y2XX+iv2Lk9dPIkeOu507N4puGPZ5O3ib1GtRk+hnK5kbIWAEJqNniCefDmvDlJ+OseLfeLyc7RjXu7G5zRIIqoRGq+HzI5+z6oxuAO3AoIF82O1DbBV3l6Cu0UrM3nCmjLRHHTLg4y3neKSNX401qbucdZmvj33N1oStJbb7O/nz1+N/WcRUZ72A8bCrvsTlPoF9CK0Xysy9M4lJi2Hm3pkcuHqAtzq/dc9l4an5qUQdigJgfNvxjG492iK8FnUJ8/+WCuoUj7Xz53peMXM2nmX+lnN4OtsyNLyBuc0SCIyiQFXAjD0z2H1lN6C78YwNG3tPnkRLalKXkJPAkuNL2BS7qVQlib+TPz8+9KNFiBe4TcDYV2/lla+TL9/2/5ZlJ5ax7Pgy/rj8B8fTj/NJr09o7nF3M98kSWLW/lnkqnJpXb81L7V+yWK8FnWJ6i+EF9x3jO4RzJiewQDMWHeCXefSKjlCIDA/qfmpPL/5eXZf2Y2N3IaPe37MuDbj7km8nEvN4cudF4xam5Zbvsi5V5Lzknn333d59PdH2Ri7EQmJBwMepId/D0BXZfRFxBe42blVmw1VRS9g6tlVfzjNSm7FhLYT+Lb/t3jZexGfE88zG59hzdk13E2dy8/nf2b/1f3YKmyZ032OxYjCuoYQMIJqYeaA5jzRzh+NVmL8mhhiEjPNbZJAUC4n00/y9ManOZ95Hg87D74b8B0Dgwbe1bnUGi2bT6bw1LIDDFi4lwOXK27Brqc6mtSl5qfy4YEPeXj9w/x+6Xc0koaeDXry48M/MjB4IHuT9wLwQbcPaObRzOTXvxcMOTC21V+2raejT0d+feRXejfojUqrYl70PCbvnExmkfGfX0k5SSw4sgCAKe2nEOwaXF3m3vcIASOoFuRyGfOHhtErxJNClYYXVx7mUlqeuc0SCEqxJX4Lo/4exfXC6zR1b8oPD/1wV+3mb+QVs3jXJXp8vItxa2I4FJeBQi5jUCsfPBxtKM+PI0NXKm3KJnXpBelEHYpi0PpB/HzhZ9SSmi6+XVg9aDWL+yzGSmbFe/++B8ColqPuWqxVF2qtmuxiXQ+Y6g4h3Ym7nTtfPvglMzvpmhTuvrKboRuGcjj1cKXHarQa3v73bQrVhXT06cgzLZ6pAYvvX4RfS1BtWCvkfD2iPc8sP8jxK9mM/E7XrdfHtWbaoQsEFSFJEt+c+Iavjn0FQM8GPfm458c4WldtJMbJK9ms3B/PhhNXUaq1ANRztOHpTg0Z8UBDfF3tDVVI+rJpPXpRM2twqEkSeDOKMvju5Hf8dP4nijS6kFS4dzgT2040DJrMKsri1V2vUqgupItvF15t/+o9X9fU6Euo5TI5rjY1P2dNJpMxosUI2nu15409bxCfE8/oraMZEzaGV8JeKTck9P2Z7zmadhRHa0c+7PZhjYwruJ8RjewE1c6NvGKGLj1A3PV8mnk78/PYLrjam75plEBgLMWaYmbtn8XG2I0APBf6HNPCpxldFaJUa9l8KoVV++OJScwybA9r4MrILo14KMwXO+uS5yqrD4ypmtRlF2ez8vRK1pxdQ6G6UGeLZxgT206ko3dHjqYfJb0gHQ87D749+S0HUw/i7+TPTw//VC0jAe6V8xnnGbphKB52Hvzz1D9mtaVAVcBHhz4yzAFq79We+T3n4+Pog0arMVQWKTVKZh+YjVpSM7vrbJ5o+oRZ7a7NiE68QsBYFEkZBTyxZD/pucV0CvLg+xc7lfqAFwhqghuFN5iyawrH0o+hkCl4q/NbPNnsSaOOTcstYu2hRNYcSjS0/rdWyBjU2peRXRvRLsCtwqTfOzvx3muTulxlLqvPrOb7M9+Tp9KFaEPrhTKh7QR6+PdgR+KOUl1TQddhd+1Day0u70XPgasHGLNtDE3cmvDbo7+Z2xxA19NlzsE55KvycbFxYUjIEDbFbir13obWC+XHh34UPbDuAdGJV2BRBHg4sGpUJ55adoDouAxe/fEoX48Ir7G+FwIB6KYsT9w5keS8ZJytnVnQewFd/LpUeIwkSRxNymLV/ng2nUxBpdE983k62/Js50Ce7hxgdAKuqZrUFagKWHtuLStOrSBHmQNAiHsI49uO58GAB5HJZIa5NWUN3lNqlSTlJlmkgNFoNfyX+h+gm6Ss0Wosol/Kw8EP06Z+G17f8zqnb5xmxakVZa47c+MMOxJ31MoGdbUN4YER1CgHLt9g5HfRKDVanunckLmPtRJPKoIaYV/yPqb/M518VT4BzgF81eerCitEilQaNp5IYdWBeE5cuTVUMDzQnZFdGzGgpQ82VjWb41CoLuTn8z/z3anvDFU6wa7BjG87nr6BfQ05Fxqthv7r+pfyDuix1Bk8Zc3Z8XbwZmanmRYjCIpURfT6uZdhWvedWOp7W5sQHhiBRdKlcT0WDm/LhLUxrD2UiJezLVMi7262jEBgLGvPrmX+4floJS3h3uEs7L2w3J4nKdmFrD6YwI/RSdzIVwJgYyXnkTZ+vNC1Ea38az5npFhTzK8XfuX/Tv4f1wuvA9DQuSFj24xlUNCgUjfKmLSYcsUL6CYJpxakEpMWYzHN1crzGKUVpDF191STTTq+V07eOFmueAHLfG/rKkLACGqcQa19+eCRlrz7x2kWbr+Ip7MtIzoHmtssQR1ErVUzP3o+P57/EYBHGz/KrC6zSk0eliRdbsqqA/H8ffoaGq3uJurnaseIBwIZ3jGAek53N0rgXlBpVPx26Te+OfGNQZD4Ofoxts1YBjceXG41THpB2dOP73ZddaPRapgXPa/McJeEhAwZ86PnExEQYXavRm17b+syQsAIzMJzXRqRllvMop2XePf3U9R3siWyhXeNT+EV1F1ylblM/2c6+6/uR4aMKeFTGNVyVImQZaFSwx/Hklm5P55zqbmG7Q8Ee/BC10ZEtvDGSlHzpbBqrZoNlzew7MQykvOSAfBy8OKVsFd4vMnjpQTYnXg6eBp1HWPXVTe1yWNU297buowQMAKzMbVvCOm5xfx4OIkJa2Jwtbc2uOzBdCWmgvuPpNwkJu2YxOXsy9hb2RPVPYo+gX1u7c8o0IWJDieRXagCwM5azuPtGjCyayDNfcyTN6fRatgcv5mlx5eSkJMA6Frpvxz2MkNDhho9ULK9V3u8HbxJK0gr06uhz9No79XepPbfLbXJq1Hb3tu6jBAwArMhk8mY81grzlzN4URydgnxApCaXcS41TEseba9EDECo4m5FsOUXVPILM7Ey96LRX0WEVovFEmS+PfSDVbuj2fHuWvoyxcCPOx5/oFGPNkhAFcH8/Qn0kpatiVs4+tjXxObHQvoWui/2OpFnmr+FPZW9lU6n0KuYGanmUzdPbXUPtnN9nkzOs0wezhGT23yatz+3sqQlRAxlvje1mWEgBGYFZlMVu4QOwldp9LZG87QN9RHhJMElbLh8gZm7Z+FSquihUcLFj24CCerevzvQDyrDiSUGGfRo2l9RnZpRERzL7P9bkmSxK6kXSw+tpgLmbqhjy42LrzQ8gWeafFMlbsC305kYCSf9f6MGXtmoNTeejjwdvBmRqcZFpEQq6e2eTX0721ZFVOW9t7WZYSAEZiV6LgMUnOKy90vASnZRcz68xTNvJ2xtVJgYyXH1kqOrbUcG4UCW2vdz7rtitu+1/1srZCJUu06jlbS8tXRr1h+cjkAkQ0jGdPibZbuvMav/x0jt1gNgKONgqHhDXiuSyOaeDmZzV5JktiXvI/FxxZz+sZpAJysnXgu9DmeC30OZxtnk1wnMjASFxsXrhddZ2LbibT3bk97r/YW5x3QezVe2/1aqX2W6tWIDIwkIiDC0InX08HTIt/buowQMAKzUp735U5WH0y862vIZGCj0Isehe57a3lJMXSb4LkljnTrba3k5Rxzx/Elzl1SUNlayYWIMhEZ6ansnjgU+4wcCj1ceGDhaj49/yXbErYB0NfvaW7EP8jAvw8Zjgmu78jzXQIZEt4AZ7vqDxPd3mL+9hubJEkcSj3EV0e/4nj6cQDsrewZ0WIEL7R8weRt/bOLs7lepCu7fjb02Xvy6FQ3kYGRPBT0EBvjNpbYbsleDYVcYfak4vsZIWAEZsXYDqbdGtfDxd6aYrUWpVpLsVpDsVpLsUqLUqNFWawiKOUiTnlZpNk4c8y9EdqbTb0kCd1atRaK1NX5cipEL6JsbhM8d3qLbhdEpT1KlXub9N/bleOdqu1huI2D2hEUW0QL/YakG2RFDKRNU9gx1A6HnOGsP9sKuIFMBhHNvBjZtRE9mtRHXkOvvbxmbMNChnEw5SD/XdN1mbVV2DK82XBebP0iHnbVM3E5LjsOAB9HH4sWL6DzSp24fgKAF1u9SDP3ZsKrIagQIWAEZqVTkAe+rnakZheVEfnW5cD4uNrx/Uudy7355mzdyrWPolCnphq2WXl74zFzJla9+1Cs1twUPTrBU+LnOwSR4fubwkh3jEb3vUp/jMZwbJnHqG7tvx2lRref8iNm1Y6VXFZKEJXwLpXwIN3yHpUO3d0SYGWuKevcN/dZye8upKcXL2XR8SK8+4OG6W1b4WxnxZMdAni+SyCB9Wr2pl1eM7ZrBdcMU6+t5dYMCxnG6Najqz0p9XLWZYAKOw5bCv9d+4+k3CQcrR15JewVHKwdzG2SwMIRAkZgVhRyGbMGhzJudQwyKPGxr7/FzRocWqF4SX51CtwxEUOdlkba1Kn4f7EQr379qsP0SpEkCZVGukMcaUsJKqVGYxBHyjIEUklxdKcAK1+M6ddqb3tr1FoJtVJDvlIDqMzyvshllOtBKhW6u7nPujCLkTfFy52/Cfrfm9B4FY+PPkH7Fo2ws87hSMY5YjJkyGVy5DJdCE+OHLlcrvv39m03v1fIFLptMt0a/feG7bcfd/O8+m1atMw9OLfMJFQ99lb2/Pbob/g7+Vfb+3s7l7Nrj4BZd3EdAIOCBgnxIjAKIWAEZmdAK1+WPNue2RvOkJJ96wn7/9s77/CmqjeOfzK690wXW5StArLcgoCiKENFERAQFQEZigwFJ0NwMF38BFzIUoaACCKKKLJEBVEQ2d2lI91tkvv74zShLR1pm2a05/M8edLce3Lvm9sk55v3vCOikjowitFI4uw5V4gXsVMBlYrE2XPw694dlcb+LmiVSoW7VoW7Vo1tQjKrh8FoKl9AFRdLZXiQKvROmcVUKe9UWYLK3AARwKRAXqGJvEJTBVaX5NUTr14hXIpj3tfwq0+Y18t5v9ZyDbnEZcXZTcCcThcp2c0Cm9nlfNUlIz+DnWdFDNOA5gMcbI3EVXDeT7qkVlCMRnIOHcaQnIw2LAzvjh0cMrmXpnebSO5sFVFmJV7FZMKUmYkxI0Pc0sV97h+/l1g2ugJFwZCQQM6hw/h07mS/F+NkaDVqtBo1PvavhG/BZFJKiJ78cjxIpZfrCorGhh7Kteo8DS6p6N6wOybFhKIomDBZ/jYqxiu2mRTT5RvFtmHCZCq1TTGhII5T/PnmbfmGfPKMlQel27MYm9kD46wCxhzsvPHURgpMBVwTdA2tQlo52iyJiyAFTD2izFiRiAh006fhb4dlFsVgwKjXFwmQdIwZGZhKiZKGGRlEF207k5GOKT0Do15ftpfFSgzJjq/eWd9Rq1V4qjV4ummAqmcBffWuP1y8VPl5AoNZcPuCqhtoAw4mHGTEtyMqHWePYmxGk5GfY38mIVt81hv5OV+vsbKCneOy49h1fpdTZhxJnA+VotRgZnBirG3HXV8oL1aEomDK6IULrBYxpoKCy8KjlAApIUzM29KLtmVlVX7wClB5e6MJCLDcFKOR3EOHKn1ew48/rtcemLpAanICCTffXu4ykvldHfXpSwTeMMheZpXAaDLS68telRZj2z5ge61m1ZSXBTW101S7CoPyUsnNNpYV7AziOjlL52mJY7B2/pYemHpApbEiQMLLr1iWakp7RUrflJzyW8lbg9rPr4QQ0QQGoLY8DrRsKz5GHRCA2t39itd1qnsPDImJZb82FWh1EXh37FAjeyWOR73n50rFS2LjQlptfQryE+DG8RZxbi+cocR8ecIgKSeJST9MspswqEhE3d7g9nI7T5txls7TEudGemDqAdn7D3B+2DDbHlStRuPvL8RFYCnxUUyYFBcgmsBANH5+qLS2080WzxKUKWKiFy20y/KYpPbI/fNPzg1+FKWwkEINuBlL7leAC0009Hq6BxxeITa2GwT3LgQ36+oM2ZKyJu8I74haL8Zm9gBV1NU5zCuML/p8gZebFx4aD9zV7jYvsFieiDKLuNHXjubdP96t9DjLey2XReLqKdIDI7FgbQyIW+PGeDRpYpVnRO3ri0qtrmXLK8e/Z09YuOCK2B4zag8HRq5KaowhJYWL455BKSzE9447QKUia9cuknWeZLsbUQI03H7NaVpFXAV93gZda/hmCvy5GlL/g4c+Bz+dXW12VIn535J+q1C8ACTnJtNjfUkR5a52F2JGU/Le8rfWAw+1R8Vjiu7dNe68efDNMr0r5m3WiBdwjs7TEudGCph6gDbMuqDByFdecclYEf+ePfHr3r1EdlXmdztJ+/Qz4l58kaabN6MNCnK0mZIqohQWEjthIobERNybNCFy1uv81+NOAG5Y8ilebdtAfia83RounYJ/d0CnURDaHNYOg4sHYdntMGgVRF1nV9sdUWK+uhN+galANHt0TFmgcnGGztMS50YKmHqAd8cOaCMiKogVUaHV6Vw6VkSl0ZQQX17XtiN73z4KTv1HwsyXiF60UPYicjES580n59Ah1D4+xCxdQv6//2LKzkYTHIxn66JUWw8/6DAMflkE+5bANb2h6W0w6ntY9RBc+heW94Z+70Hrfg59PbWNtRP+Rz0/4vrw68k35pNvzKfAWHDF38W3VbSv9LaLWRctXbUrwt/dn8yCTJfoPC1xXqSAqQeoNBp006eJWBGVqqSIKZrUddOnOUU9GFuh9vQket48zjw0iMydO8nYtInA++93tFkSK0nfuJG0Tz8FIOqNuXg0bUrGho0A+Nx0Y8nly85Pwr6lcPYniP8DIq+FkGbw+Hfw5Ug49R2sewyS/oFbp4ATLH3WBu3D26Pz1lWaBdVB1wGNWoObxg1fbNuR29pU8iEth/DuH+86LNhZUjeom59kyRX49+xJ9MIFaEJDS2zX6nRVSqF2JTxbtSJs7FgAEl97nYKLsQ62SGINucf+IuGllwEIfXo0fj1EzEbWTz8B4HvzzSWfEBBz2buyr1h8hVcgPLIWuor3AD/OhXXDoCC7Fq13HOYsKLgsBMzYSxiYRVTp8xe3I8I7glHtRvH2bW8T7h1eYr/OWydTqCVWI7OQ6hl5J09ypu99qLy8aPD++05Tibe2UIxGzj06hNwjR/Du2JGGH6+s06/X1TGkpnJm4EAMcfH43HoLDd57D5VaTWFiEqduvRVUKpr/vBdtcKnuzbG/iXgXtRYmHAX/qJL7j3wGX08AUyFEtIVBX0BgA7u9LnviqCyo4uef9MMkgDK9K8UFSkW1YiT1F2vnbylg6hk5R45w7uFHcIuJ4arvdjraHLtQcOECZ+67H1NODuGTJxMysnIXt8T+KAYD50c+Ts7+/bg1akiTdevQFH1207/aQPz06Xi2bUuTdWvLPsDyu+D8L3DTJOjx0pX7z/8KqwdDTgr4hMOgz6GB6wWtW4OjhYGjRZTEtZFp1JIyMWVmAqD2d2R7Qfvi3qABuunTiH9xBskLFuBz0414XnONo82SlCLpzbfI2b8flbc3DZYssYgXgKyf9gDge/NN5R+g6xghYA4th1ueA3efkvsbdoEndsMXj0DiUVjZR9SKue6R2ng5DsURWVDFcVQquaR+IWNg6hnGIgGj8atfXqmAAQPwveMOlMJC4iY/j6mgwNEmSYqR8fUWUleuBCBqzhw8mje37FMMBrJ/2QeAT+n4l+JccxcENYG8dPh9VdljAhvCiO3Q4h4wFsDG0bDjRTAZyx4vqTZmEXV307u5IeIGKV4kNkcKmHqGxQPjZ9vsA2dHpVIR+dqraIKDyT95kuSFCx1tkqSIvL//Jn7GDABCnngC/14lA8pz/zyKKSMDdUAAXu3alX8gtQa6PC3+/vXd8kWJhy88+Cnc8rx4/Mti+GIQ5Olr+lIkEokdkQKmnmHU108PDIA2JITI118DIHX5CrIPHHCwRRJDWhoXx45DycvD56abCBv/zBVjsvcWZR/d2K3yAOzrB4NnIKSehpPbyx+nVsMdL8CAj0DrKYrgfXSneJ5EInEJpICpZ5g9MJp6FANTHL877iBg4ABQFOKmTrUsqUnsj2IwEPfssxTGxuLWoAHRb84vU6Bk/bQXAJ+bKlg+MuPuAx2Hi7/3La18fNuBMPwb8IuE5H9g2R1wZk9VXoZEInEQUsDUM4yZwk2u9q2fAgZAN3UabjExGOLiSZw129Hm1FuSFywg+5d9qLy8iFmyGE1g4BVjDKmp5B07BogCdlbR6QmRTn3uZ5FeXRnR7WHUbohqD7lp8Gk/OPhRFV6JRCJxBFLA1DNM+vrtgQHQ+PoQNe8NUKvJ2LgR/Y4djjap3qH/5hsu/U+IhKhZr5ebFZb988+gKHi0bIlbeHiZY67APwraDBB//2pd40D8I2H4Nmj7AJgMsHUSbH0WjE7WIEgikViQAqaeYcwyB/HWvxiY4ni3b0/I448DkDDzJas7dktqTt6Jk8RNfwGA4JEj8L/77nLHWqrv3lRB+nRZmIN5/9oAGRete46bF/RfBt1fAlRw8H/wWX/ISa3auSUSiV2QAqaeYfbA1LcspLIIGzsGj5YtMaanE/fii9TRmo5OhTEjg4tjx6Lk5uLTrSvhEyeWO1Yxmcje+zMAvrdYEf9SnKjroPHNwpty4EPrn6dSwc2TRJE7Nx8RD7PsDkg+UbXzS5wTkxHO/ARH14t7mT7v0kgBU8+or3VgykLl7k70vDdQubuT/eMe0teUU+FVYhMUo5HYyZMpvHABt+hoot56C5W2/FqaeX8dx5iaitrHB6/rrqv6CbuOEfeHVkJ+VtWe26IPPL5T1I1JOwP/6wH/1o/K1XWW45thQRv4+B7R5PPje8Tj45sdbZmkmkgBU8+o71lIpfFo3pzwZ0XflsQ33qDg7FnHGlSHSV68mOw9P6Hy9CRmyWK0QUEVjjdX3/Xp1hWVm1vVT9i8FwQ3g/wM+P3zqj9f11oE9zbsBvl6WPWgqBkjPXWux/HNsHYo6ONKbtfHi+1SxLgkUsDUM4yWQnZSwJgJGjIE7y5dUHJziZ0yBcVgcLRJdQ79jh1cev8DACJfew3Pli0rfU62OX26ouq7FaFWQ1crCttVhE8oDN0E7YeCYhJVezeNAUN+9WyS2B+TEbZPAcoSnkXbtk+Vy0kuiBQw9QilsBAlNxcAjRQwFlRqNVFzZqP28yPvjz9J+bAKMROSSsk/dYr4qdMACB42jIB776n0OcaMDHL/+AOoRgBvca59GLyCIO0snNhWvWNo3eHeRdD7DVCphTfn43shK6n6dknsx7lfrvS8lEABfawYJ3EppICpRxizLscBqH1lEG9x3CIjiZg5E4CUpe+Se/Sogy2qGxgzM7k4ZiymnBy8O3UifPJzVj0v+5dfwGTC/apmuEVFVd8Adx/oWNR93JrCduWhUkGXp2DwevAIgAv74cPbIf7P6h9TUrvkpMLfW2DvAuvGn/3Jes+aDAZ2CmQ36nqESV9UxM7bu8LgyfqK/z19yNr9Pfpt3xD3/BSafPUlai8vR5vlsigmE3GTn6fg3Dm0kZFEL3jH6vedufqu78231NyQG0bBz4vg/D64eBhiOlT/WFd1h1G7RO+kS6dgeS/o9wG06ltzOyU1IydVeFHO7hW3xGOUvWxUDj++AT8vhJgbRAZb45sgpiNoPUqOO75ZLEkV9+r4RwkPnXwf2BU5i9UjzH2Q1P4yA6ksVCoVETNnknPoMAVnzpD05ltEzHjR0Wa5LClL3yXrhx9QubsTs3gx2uBgq56nKArZ5vovN9dg+ciMf6RoGfDHF/DrUhi4vGbHC20Oj38H60fAf9/D2iFw+wtwy2ThqZHYh5xUUW25hGApRejV0KgbHN8EuemUK2i0XsJbl5MiPDFnfyra7llS0GQmiAym0scxBwM/+IkUMXZECph6hCnLnEIt41/KQxMYSOSsWVwYNYq0zz/H9/bb8bW2hL3EQub335OyVCzZRLz6Cl5tWlv93PwTJzAkJ6Py8sKrY0fbGNTlaSFg/toIPV6BwAY1O55XEDyyTgT17n8Pds+CpL/hvqXg7m0TkyWlyL4kBItZtJQpWK4RQqPxTdDoRvDTie3NuguBgYqS4qNIcPb/EFreCyn/FgmYIlGUnVRS0JSLIo61fapIwVdX0nRUYhOkgKlHWDwwUsBUiO/NNxE0eDBpn39O/PTpNN28qcw+PZKyyT99mrjJzwMQ9OijBN5/f5Web66+69O5M2p3d9sYFdkOmtwiCtMd+AB6vl7zY2q0cNdcCG8p2g789ZXoZj1oFQRE1/z49R2zYDGLiaS/rhwT1uKyWGl8E/iW026iVV/hHSlz6WfuZa9J2NXidsNIkS5vFjTnfoZT30NeWgUGFwsGblLNzDlJlaj1IN65c+eiUqmYMGGCZVteXh5jxowhJCQEX19fBgwYQGJiYonnnT9/nj59+uDt7U14eDiTJ0/GINNba4SpqJGj9MBUTvhzz+LepAmGpCTiX3lFVumtAMVoJHv/ATK2bCXzhx+5MGYspuxsvDp2QDfl+SofL3tPkYCxxfJRcbqOFfeHP4Z8G3Yh7zBMpFp7h0D877Dsdrh4yHbHry9kp4ilnm2T4d1uML+pWJ478MFl8RLWAm54HB5YCc/9C2P2Q5+3oE3/8sWLmVZ9YcIxGLYFBnwk7iccLX/JR6W6LGYGLoe751v3OrISKx8jsQm16oE5ePAgH3zwAe3atSuxfeLEiWzdupV169YREBDA2LFj6d+/Pz//LMqGG41G+vTpQ0REBL/88gvx8fEMHToUNzc3Zs+W3YOrizFTZCHJGJjKUXt5ETVvHmcffpjMb7aTcdvtuEVEYEhORhsWhnfHDqg00k2s37GDxNlzMCQklNiuDgggZsGCKhegM2ZlkXPkCAC+t9gggLc4V90pYiJSTsKRz6DLaNsdu/GNMOp7+OJhSDoOK+6Gvovh2odsd466RnZKKQ/L8SvHhLUsuSTkG1azc6o11feO+EVYN85XV73jS6pMrQmYrKwsBg8ezLJly3j99cvu2oyMDD766CNWrVrFHXfcAcCKFSto2bIlv/76K126dGHHjh0cP36c7777Dp1Ox3XXXcdrr73GlClTePnll3G3lVu5nnHZAyNTqK3Bq20bQp8eTcqixcRPnVqiAqs2IgLd9Gn49+zpQAsdi37HDmLHTyizMq0pI4Oc336r8vXJ+fVXMBhwb9QI9wY1jFMpjVotYmG2TBCF7To9YdtYhaDGMHIHfPWEqDmz4QlI/hvumCnOXd/JSi4pWJL/vnJMeKvLy0G2ECy2pFE3seSkj6fsYGCV2N+om70tq7fU2qdqzJgx9OnThx49epTYfvjwYQoLC0tsb9GiBQ0bNmTfvn0A7Nu3j7Zt26LTXVayvXr1Qq/X89dfZayDAvn5+ej1+hI3SUkux8BID4y1eDRpKv4oNUkbEhOJHT8B/Y4dDrDK8ShGI4mz55RfVl+lInH2HBRj1epjZJmXj2ztfTFz7SDwCob08/D317Y/vocfPPQ53CTaU7D3HVj9iG2XrFyFrGTRDXzrs7C0C7x5FawbBgeXXRYv4a2EkHzwE5j8Hzy9D/q8Ca3vdy7xAkLs9n6jnJ1FwcC958oAXjtSKx6Y1atX89tvv3Hw4MEr9iUkJODu7k5gqaBInU5HQpEbOiEhoYR4Me837yuLOXPm8Morr9jA+rqL7INUNRSjkcQ3yvnCUhTLJO3XvXu9W07KOXT4imWjEigKhoQEcg4dxqdzJ6uOqSgKWXttmD5dFm5eIoZizzxR2K71/bY/h1oNPV4Swb2bxsLJb+CjnvDwF8JLU1fJSoZze4t5WP65ckx465JLQj4h9rezJrTqCw9+DGuHUcILUzoYWGIXbC5gLly4wPjx49m5cyeenp62Pny5TJs2jUmTJlke6/V6GtjaBe3iWPog+UoBYw21MUnXFQzJyTYdB1Dw338Y4uJRubvjfcMN1TWtcm54HH5eABcPwIUD0KCW/nftHhTNJFc/IuI7PrwdHvpUTN51gayky2Ll3M9lCxZdm5JLQq4mWMoi5gaEeFHD/e+JjLNG3aTnxQHYXMAcPnyYpKQk2rdvb9lmNBrZs2cPS5Ys4dtvv6WgoID09PQSXpjExEQiIkSQVEREBAcOHChxXHOWknlMaTw8PPDw8Chzn0RgrsQrPTDWURuTdF1BY2VROm2Y9csA5uq73p061W4FZD8dtH0Qfv9MeGFqS8CAqPr7xG4R3Bv/O3xyH9z9JnQcXnvnrC2KC5azeyHlxJVjdG0ue1gadqsbgqU0KSfFfUhTuG6QY22p59hcwHTv3p2jpfrIDB8+nBYtWjBlyhQaNGiAm5sbu3btYsCAAQCcOHGC8+fP07VrVwC6du3KrFmzSEpKIjxcpMbt3LkTf39/WrVqZWuT6w3mXkgyBsY6rJ18qzJJ1wUMqamkfPBBxYNUKrQ6Hd4drS/bb9Pqu5XR9WkhYP7eDGnnIKhR7Z3LPwqGfyO6WP/1lQgiTvobes0WtWSclczEkktC5om7OLq2xZaEuoG3dcLWpUn5V9yHNHesHRLbCxg/Pz/atGlTYpuPjw8hISGW7SNHjmTSpEkEBwfj7+/PuHHj6Nq1K126dAGgZ8+etGrViiFDhjBv3jwSEhJ48cUXGTNmjPSy1ACLB0ZmIVmFd8cOaCMiyl9GqsYk7erk/vknF8dPwBAfD+7uUFAg6mUUD+YtKqevmz7N6tggU04OOUUxcz4326EImK41NL0dTu+G/R9A71ouz+DuLWqJhLeC3a+L2iYpJ+GBFaKqrzOQmVBySegKwaKCiDbQqJ4JltKYBUxoHRcwJqMoypeVKFLDnXCZzCHy/5133kGtVjNgwADy8/Pp1asX7777rmW/RqNhy5YtjB49mq5du+Lj48OwYcN49dVXHWFuncESAyM9MFah0mjQTZtG7PjxZeys+iTt6qStXUvia6+jFBbi3rgxMYsXkX/mzBV1YLQ6XZVTzLMPHEApLMQtOhr3Jk1qw/wr6TpWCJjfPoHbpoBnQO2eT6WCWydDeAv46klx7mXd4ZE1jpkMiwuWs3vh0r+lDRaCxdwHqGHX+ilYSmMWdqFXO9aO2sRFGlbaRcD88MMPJR57enqydOlSli4tv719o0aN2LZtWy1bVn9QTCZMRUtIMgbGesq7VtWZpF0VU34+Ca+9Rsb6LwHw7dGdqDlz0Pj54dG8OX7du4uA5xoU+StefVdlr4aIV3UXlV2T/4HfPoVuY+1z3pb3wsjGIi4m9T8hYh5YDlf1qPSpNUIfX1SHpajXz6VTpQaoIKJtkWC5UQqWsjAZIaEoRKIwVzx2Mq9EjTm+uahvlPM3rHTiBViJLTFlZ1vc/LIXkvVc+kh0Lg58+GH8e/eud5V4C2NjuTh+AnnHjoFaTdj48YSMehxVscJsKo2mxllYWXtFAK/Nq+9WhEolCtt9/Qzsfx86P2W/mJSItjBqN6x5FC78Cp8/IGJiOj9lu47W+vii5aC95QuWyHbFloS6Os9yljNyfDN887zoWA3wzWT4+R2n80rUCJNReF7KLNTnfA0rpYCpJ5jjX1Tu7qhlHJFV5J04QfbevaBWEzJyBO4xMY42ya5k//ILsZOexZiejiYwkKi33sT3Rtt35i44d47C8+fBzQ3vTp1tfvwKafcg7HoVMi6IgN42/e13bt8wGLYZtkwSAcXbp0LiX9DnbTE5VDX+QB8HZ4t5WFL/KzWgSLBYloS6OE6wuEB8RQlcyCtRI879UnLZ6Aqcq2GlFDD1BEsGkuyDZDWpy4X3xa9Xz3olXhRF4dKy/5G8YAGYTHi2bk3MooW4RddOh2Vz9V3v9u3R+PrUyjnKxVzY7se5sG8JtO5nOw+INWg94L4loGsFO16EI5/Chf2Qp4esYsHjZcUf6OOK4ld+EsKltGBRqSGiXbG05q7gFWiXl1UhLhJfYcHFvBLVJj9LvP+swUkaVkoBU0+wZCD5ygwkayiMjydjq4jBChkx0sHW2A9jVhbx06aRufM7AAIGDiBixoxa9dpZqu/e4qBfdDeMFCX/Yw+LwnYN7ewFUqmg6xgRFLpmSNnpyuZf+p2fgsLsIg/L6VLHKS5Ybi7ysATa5SVYjSt6MlzMK1EmhgLRwiHtrKgGfcMo0Bb1FMxOEZl4B5dBbpp1x3OShpVSwNQTZCfqqpH6yadgMODduTNebdtU/oQ6QP6pU1wc9wwFZ86gcnNDN+NFgh58sFbPacrPJ2e/KFrpc5ODvvx9w8VS0pFPhRfG3gLGTLM7RC8lQ24ZO4sm/P3vXd6kUkPktSUFS21nUtUEV/VkWOttcBKvxBXsmCHe14qp2LYX4fohoHEXndnN77mgJpCbKjyALtCwUgqYesLlTtQygLcyjHo96WvWABAycoSDrbEP+u3biZv+AkpODtqICGIWLcSrXbtaP2/OwUMoeXlodTo8rnZgXY2uY4SA+WcLpJ6BYDulchfn3C+QnVT5uNb94NqHnV+wlMZaT8bX4yHkKlBrhZApca+9/FhVxrYKn6MVoq/M5xT7W6UuuYxorbfBSbwSJdgxA35ZdOV2xQS/fXz5ceR1cNMEaNkX/tla5CUrjfM1rJQCpp5wuRO1FDCVkbZmDaacHDyaN7dPUTUHohgMJL31NqkrVgDg3aUL0W+/hdbKVgE1xVx9167p02UR3hKadYf/dgl3+l1z7W+Dtb/gW9wDV/eqXVtqA2tfn7VxGLVJadGDirI9EubxbrBzJmjcyhFYZYmtqoiy8p5TwblMJuF5qYxH1kPzHpdFW6u+Yilv8zjIS788zgkbVkoBYwcUo7HGdTJqiimrqBO1FDAVYiooIO0T8QUaPGKEYyfVWsZw6RKxEyeRU9R3LOTxkYRNmIBKW/tfC+bPRMY33wDg08322U1VpttYIWCOfAq3TbV//Igr/9K3BmvtvupO8AkDk0HcFKNYfjI/NhmKHpe1zTzeUPlzFGP5NpjHWIupEOJ+s368M3HpJFx9Z8ltrfpC+nnY8QLEdILuM50yU0wKmFpGv2PHlZVKIyLsXgTN4oGRRewqRP/1FiE0dToC+tztaHNqjdzffxctARITUXt7EzlnDv697PN+LOszkTR3LiqtxrGFAZveLkr9Jx0X1XlvfMa+52/UTfzK1cfjCvEHVcba1/fIGvtMlIpSNdFz6jvRxTy7WPNW71C4YYSY5EsLqdLHUkyljl2WECv9HGvEWylRZt6mj4W8jMqvQ9rZsrcXZIt7XWunDU6WAqYW0e/YQez4CSX7xACGxESxfeGCcr+wbe21McoYmEpRTCYurRCp08FDh6Byd3ewRbZHURTS16whYdZsKCzEvWlTYhYvwqNZM7ucv9zPRHJypZ+JWsecDbRpjFhG6jJaLAnYC7VGpBKvHcqVSxbOF39QZZzt9alUonChtcULw1uI98RfX8GXj4ulpWeOgKeTJkbsWwrfTq98XFDjsrfnizkDD+edM9SVD5FUB8VoJHH2nCu+qMVOsS1x9hwU45VuTP2OHZzq3oPzw4YR99xznB82jFPde6DfsaPa9pjMWUhSwJRL1p49FJz6D7WPD4G1nH3jCEx5ecRPf4GEl1+BwkL8evak8dq1dhMvNflM2I22D4BPOOgvwvFN9j+/Of7AP7Lkdv8o50wxrirm1+cbXnK7q7w+tQbaDAT/GOFRiT3saIvK54ZRRfE7FaDSiHFlYREwTirQkAKm1sg5dLj8LsYAioIhIYGkBQvJ+/tvTAUFwOVfqKWfa/baVFfEWLKQZBp1uaT+7yMAAgc9VOc8VQUXYzn3yGAyNmwAtZrw554leuECuxaOs/YzkXPIgZOC1gM6FX2h71tSttiqbVr1hQnHYNgWGPCRuJ9w1Pknd2tp1RdGfCv+Vru53utTqUTqOoh6PM6K1l00LK2IrmMu14MpTb4IO3BaDxNyCanWMCQnVz4ISF22jNRly0Cjwb1JYwovxpb/C1WlInH2HPy6d6/ycpIlBkYWsiuT3D//JOfQIXBzI3hoWSmErkvWT3uJe+45jBkZaIKCiH77LXy6drW7HdZ+JqwdV2t0HAE/vQVxR+D8PsfEnKg1Tht3YBPMy0RqrWu+zsY3wp+rRXNMZ6bna+K+dB0YlUaIF/P+sjALGCdeQpICppbQhoVZNc4tOhpjVhamjAwKTpXuXVKKol+oKe++i+/NN6ONikIbGlqisV55mDKLspCkB6ZMzE0bA/r0wU3nolkepVBMJi59+CHJCxeBouDZti0xCxfgFhXlEHus/UxYO67W8AmFawfB4ZUijsBVg2YltYfZAxN7GApywN3bsfZURM/X4I4Z5VfiLY8854+BkQKmlvDu2AFtRASGxMQK3dDGrCx0U6bg07ULqZ99RmrRRFoRKUvfJWXpu4BozqiNjMAtKuryLbLoPjoKN50Olbs7xkxZB6Y8Cs6fJ3PnTgCCRwx3sDW2wZiZSdyUqWR9/z0AgQ88gO7FFxzayNPymShvGUmlQqvT4d2xg30NK4suTwsB889WuPQfhNgnTkjiIgQ1Ab8oyIyDiweh6a2OtqhitO7C41IVpAem/qLSaNBNnyYyK1SqkiKm6LE2MhJDfDzx06fj3akTAf37WXVs9+bNMWVmYkhKQikooPDceQrPnS/HEBXa8HCMqakAXFr2P7zbX19C8Kh97NxAz8lIXbkSTCZ8brkZz6uvdrQ5NSbv5Elixz1DwblzqNzdiZg5g8CBAx1tFiqNhrAJ44mfOq2MnSILRTd9mt1rJJVJ2DXQvCf8uwP2vw93z3e0RRJnQqUSy0hH14llJGcXMNXBImCc12svBUwt4t+zJyxccGUdGJ0O3fRp+N1+O5dWriRl6bvkHDhAzm+/ofbxwZSTU7bXpugXatONG1BpNCiFhRQmJlIYF1fiZoiLozA2jsL4eJSCAuEFKkL/9dfov/66xGHVAQElPTiWWyRuUVFogoNtVtDNGYr6FceQlkb6VxuAutG0Ub9tG3EvvIiSm4s2KpKYhYucqpdTwX9Fy6RaLRguFwozfyYcWgemNF3HCAFz5DO4fTp4BTnaIokz0fgmIWCcOZC3JkgBI/Hv2RO/7t3LnbRDR43C/667SHj1VbL3/ISp2Jd6Ccr4hapyc8M9Jgb3mJgyn6IoCsZLl8j94w8ujhHR6EGPPEJhQoJF7Jj0ekwZGeRnZJD/999ln9rTE7fIyCuEjfmm1emsqt7qLEX9ipP2+SqUvDw8W7fGu3Mnh9hgC5TCQpLefIvUj0V/E59uXYl66y20Qc4z6RYmJoommUD0ggVo/PycRsiWSZNbQdcGEo/BzpegyS2imqwTViSVOIBGRXEwFw7A76sgoEHdeW+YTC5RB0YKGDug0mjwqWBydI+JocEHH5D57bckzJqFMTnlijHV+YWqUqnQhobi3rgxIDwtETNnlBhjzMoS3pq4WOG9iY8X4ia2yJuTnIySl0fBmTMUnDlT9ok0GrS68MuxN8Vv0VG4RUaS9dNP1S7qV1uYcnNJ++wzQJTRd9W2AYaUFGInTBRZVEDIE08QNv4ZpxMEKUvfRcnPx6t9e/y63+H811ulEhNS4jHR+M7c/M4/ShRkc5W0X0ntkPSXqLNiKoSNo8W2uvLeKMzGUmhQChhJZahUKvx798bnxhtJfmcBaatWie1eXgQ+PIjwiRNRu1WvKqglA6mMAF6Nry+aa67G85qyYz9MBQVC1MTHW0RNiVtCAhQWYoiLxxAXT+7hcmp4lI4DMlPD9PCakL5hA8b0dNxiYvC7887Kn+CE5Bw5IuoGJSWh9vEhcu4c/J3wteSfPkP6l18CEP7sJOcXLwDHN8OBZVdu18eLarKuUHhNUjsc3wxrh3FFS4S68t4wLx+pteDm5VhbKkAKGCdD4+dHxMwZBNx/H/EzXyL/n39IW76CvD/+JPLll/Bo3rzKx7RkIFWjD5La3R33Ro1wb9SozP2KyYQhOcXiwSkZiyO8Oabs7IoLghUrYFaRp8qWKEYjqSvFL+rgxx6zSwNDW6IoCmlffEHinLmiJcBVzYhZtBiPpk0cbVqZJC9cCEYjvrfdhncHJ8gyqgyTEbZPoeyePQqggu1ToUWfurFkILGe+vDeKJ6B5MQ/NlzrW7se4dWuHU3WryP1089IXryY3MOHOd2vPyEjRxI6+inUnp5WH8uoL6rC62t7V6BKrcZNF46bLhyuv/6K/YqikL5uPQkzZ1Z6LHsWMMvc+R2F58+jCQgg0MrsL2fBlJtLwssvk7FpMwB+vXsTNet1p80myz16lMxvvwWVirCJEx1tjnWc+wX0cRUMUESzvHO/uGYhNkdjKmoXYTLAmZ9cK3akPrw3XKAGDMhWAk6NSqslZPhjNNvyNb533AEGA5c++IDT9/Yl6yfrI98tfZAc0IlapVKV670pjb0KmCmKwqXlot5O0OBHUHs7cRGqUhRcuMDZhx8R4kWjIfz554l+522nFS+KopD01tsABPTtW+5SpdORlVj5mKqMk1zm+GZY3kv8bSqEj++BBW3EdlegPrw3XKAPEkgB4xK4RUXR4N2lxCxZjFano/DCBS6MGkXspGet8lpc7kTtmDejuYBZRa5ITWio3QqY5R46RN6ff6Ly8CBo8GC7nNMWZO3Zw5mBD5D/zz9ogoNp+NFHhIwY7tTxJNk//0LOr7+icnMj7JlxjjbHenytrMZs7TiJ4PhmESNSenI3x464goipD+8NF0ihBilgXAq/Hj1ounUrwcOGglqNfts2/ru7D2mrV6OYTOU+z2Tug+TnmD5I5qJ+4kE5k63RaFnqqm0sbQPuvx9tSIhdzlkTFJOJ5KVLufDkU5gyMvC8th1NvvoSny6dHW1ahSgmE8lvC+9L0CMP4xYd7WCLqkCjbiKjhArEodYDIq+zl0WuT6WxI4jYEfPykrNS6XtDBf7Rrt2CwgWq8IIUMC6HxtcH3bRpNF63Fs/WrTFlZpLw8iuce/gR8k6cKPM5xixzFpLj1LR/z55EL1yAtlSfIa0uHE1oKMa0NGLHT0ApLKxVO/JPnSLrhx9ApSJk+GO1ei5bYNTrufj0GFIWi87IgYMeotGnn+IWEeFo0yolc/t28o4fR+3jQ8hTTznanKqh1oh0WKDcicqQD6segLwMu5nl0lQldsSZqfS9oUDvua4T01MWLlADBqSAcVm8Wrem8do16F54AbWPD7l//MGZ/gNInD9fVPIthtkDo3FADExx/Hv25Kpd39Hw44+JevNNGn78MVd9/z2NVixH7e1NzoEDJM59o/ID1YBLy1cAwptlro/jrOSdOMGZgQ+Q9cMPqNzdiZw9m8iXX0btXkkTNidAKSwkaeFCAIJHjnCqgnpW06qvSIf1jyy53T9aNMfzCBDdqlfeA1kO7qDtCtSl2JHy3hsAaneIcJ7q19VCemAktY1KoyF4yKM03bYVv549wWgk9aPlnL7nXjJ/+MEyzhwDo66FLKSqYi7qF3BPH3w6d0Kl0eDRvDlR8+cBkPb556SvX18r5y5MTCKjqI1CyMgRtXIOW5Hx9RbOPjSIwvPncYuKotEXq1wqWyp9/XoKz51HExJCyLBhjjan+rTqCxOOwbAtMOAjcT/hKNzyHDy2BXzCIOFPWHEXZFx0tLXOjbUxIZ6BtWqGzSj93hj6tajOayqAzc9UXDrC2TELGE8ZAyOpZdx0OmIWLSTmvXfRRkVSGBfHxadGc3H8BAoTkxyahWQtft27EzpOtDuIf+VVcn47YvNzpH32KRQW4tWhA17XXWfz49sCpbCQhFmziZs8GSUvD58bb6Txl+vxat3a0aZZjSknh+R3Rbf00NGjnTZDymrUGpEO23aguDcvDUS2g+HbwT8GLv0Ly3tDyinH2urMWBNXBLB5HPy5VpSzd3aKvzea3gL3LQatF5z9SXQzd1XkEpLE3vjdfjvNtmwheMQI0GjI/PZbTt99N7lHhBhwZAyMNYSOHi0q4hYWcnH8MxQm2s6VbMzKJm31GsB5vS+FSUmce2w4aZ+KfkEhTz1Jgw8/cLnll9RPPsGYnIJbgwYEPfiAo82pXUKvgpHfQkhzyLgAK3pD/J+Otso5qTB2pOixdwhkxsFXo+CjHnD+V3taWHOCm0L3onYtO2ZARqxj7akueTKNWuIA1N7e6J6fTJMv1+N5bTtRBbeIwosXHGhZ5ajUaqLmzsGjeXOMySlcHDsOU36+TY6dvm4dpsxM3Js2xfe222xyTFuS89tvnBkwgNzDh1H7+hKzdAnhEyY4XT+jyjCkpXHpfx8BEPbMM6hcIF6nxgTEwPBvIKIdZCeLmBhXm3jtRblxRVHw4Kcw8S/oPhPcfSH2sKgXs3YYpJ11iLnVovNTEHMDFGTClgmuuZQkY2AkjsSzRQsar1pFxEuXK+DGvziDxDlzS4gaZ0Pt40PMu0vRBASQd/QoCTNnotTwC0ApLLR0aQ4e/hgqtfO87RVFIfXTzzg3dBjG5BQ8ml9F43Vr8eve3dGmVYtLHy7DlJWFR8uW+Pe529Hm2A/fMBET07Ar5GfAJ/fDqe8cbZVzUl5cUau+ou/Ozc/CuN+g/TDRLPH4RlhyA+yc6RoZX2oN9F0CGnf4d4dYDnM1ZB0YiaNRaTQEDhxYYlvqxx/zX597yNy1y0FWVY57gwZEL3gHNBoyNm22iI/qot+2DUNCApqwUAL6Ok+DNVNuLnHPTyFx1iwwGPC/+y4ar16NRxPn7GdUGYVxcaR9/jkA4ZMmOpVQtAueAfDoV3BVDzDkwqpB8NdGR1vlnJQXV2TGTwd9F8GTP0GTW8FYAD8vhEXt4eBHYDQ4xm5rCW8Btz4v/t4+BbKSHGtPVZEeGIkzYMzKsvwd8/57uMXEYEhI4OKYsVwYM5bC+HgHWlc+Pl27opsivgCS5s0n6+efq3UcRVEsheuCHx2C2sPDZjbWhILz5zk76GH0X38NGg26aVOJeustlw54TV6yFKWgAO9OnfC56SZHm+MY3L1h0BfQup8ok79+OPz2iaOtcl0i2sDQTfDwGhFnlJMCWyfB+zc5n4fLZBR9nY6uF/ddx0FEW8hNg22THW1d1ZBBvBJnwGTuRO3tjd9tt9H0682EPPEEaLVk7drFf33u4dLKlSgG5/tFEzRkCAH9+oHJROykZyk4f77Kx8je+zP5J0+i8vYmaNBDtWBl1cncvZszAwaSf+IEmtBQGq1cQfCwYU7dEqAy8k+dImPjRgDCn53k0q+lxmjdxdJI+2GgmERWzS9LHG2V66JSwTW94el9cNc88AqC5L/hswHw2UBI+sfRFooWCAvaiL5OX44U94uvh7YPgkojlsFcoU2CGbmEJHEGjOY2Av7ijaj28iJ80kSafPUlXu3bo+TkkDT3Dc48+CC5R4860tQrUKlURLz8kghGzsjg4pgxGDL0ZO8/QMaWrWTvP4BirLjs+KXlIqA06IGBaAIC7GF2uSgmE8mLFnNx9NOYMjPxuu46mny5Hu8bbnCoXbYg6Z0FYDLhd2cPvK691tHmOB61Bu5dCN2eEY93vADfv+6aAZ3OgsYNOj8JzxyBLmNA7QandsJ73WDLJMhOcYxd5v5OpasM6+NF3E6LPuLx1mchJ9X+9lUVk0nWgZE4ByZLI8eSfZA8r76aRp99SsSrr6D29yf/+N+cffAhEl57vcSyk6NRe3gQs2gx2rAw8v89xalbbuH8sGHEPfcc54cN41T3Huh37Cjzubl//UXOvl9BoyF46FA7W14SY3o6F556ipSi+ihBjzxCo08+xk3nwg3fisg5coSsXbtArSZswgRHm+M8qFRw56siqwZgz3z45nnXqG/izHgFQe/ZMGY/tLgHFCMc+ggWXS/iZAzFMhdLL+vYus+SNf2dYg+J5a/sJPj2BduevzYoyMJiu1xCkjgSo3kJqYwaMCq1mqAHH6TZtq3433svKAppn3/O6bv7oN/+bY2zf2yFmy6coCGPAqCUSqs2JCYSO35CmSImtahtgP9ddzm0kWDe339zZuADZO/5CZWHB5Fz5xAxc0adSDFWFIXkt0TDxoD+/fBo1szBFjkZKpXIqunzFqCCAx/CxqfAWLs9v+oFIc1g0OciiyminYjb2DlTZCz9tRGOb7pyWWdBm5ot5SiKiGlJ+hv+2w27XrOiv1Oc8Byhgj9Wwb87q39+e2D2vqi1oPV0rC2VoHW0AZLaxRwDo/ErX0lrQ0OJnj+PwH73E//KKxSeO0/shAn43HoLETNm4h7j2C7CitFI2qovytmpgEpF4uw5+HXvbqmbUnAxFv327YBjC9dlbNpE/MyXUPLzcYuJIWbxIjxbtnSYPbYme88ecg4dQuXhQdjYsY42x3m54XHRO2nDk/DnGjFJDFwBbs49QbgETW6GJ36AP1bDrlch/RysK6d9hT5eLPc8+IlI2y5OfiZkJkBmfMX3hryq2+gVBF1Gw6/vwtcTRDyPsy7PFM9AcvJYNilg6jiWGJgKBIwZn27daLp5M5c++ICUZf8j+8c9nN5/D2Fjx4ggUze32ja3THIOHcaQkFD+AEXBkJBAzqHD+HTuBIh0cYxGfLp1c4hgUAoKSJz7BmmrVgHgc8vNRM+bhyYw0O621BaKyUTS2+8AEPToYJfokO1Q2j0AHr6iMNuJbaKT9aBVTu+mdwnUGrh+MLS6D35eIJbryqTIq7xxtPDQZCVeFiYFVVg69woCv0jQekCcFW1PfHVwx4vi/552Fr57Ge552/rz2RMXCeAFKWDqPBYPjJV9kNQeHoQ98wz+99xDwksvk3PwIElvvkXG5q+JeOVlvK+/vjbNLRNDsnWdfs3jjOnploaQwQ7wvhQmJhE7YYKlhUPo008TOnZMnauLot+yhfwTJ1D7+xM6apSjzXENrrkLHv0SvhgEZ/bAJ/fB4PXgHexoy+oGHr6ibky5AqaIgiw4VkbTWA9/8IsoukWWfe8bcdlzZjKKZSl9PGXHwahEleFG3YoCuxfBJ31FzE7rfsJ75GzkFxULlAJG4mgqioGpCI+mTWn4ycdkbNhI0rx55J88yblHBhP44IOET5po14webVhYlcalrV6NkpuLR8uW+HTrVpumXUHOwYNcnDgJY0oKaj8/oua9gd/tt9vVBntgKiggeeEiAEIef7xOeZZqnSY3w7CvRRpw7GFYcTcM2XBleX1J9ciysoda2wfg6t6XxYmvTgigqmDu77R2KKKfU3ERU7T80nvu5UJ9TW+FDo+JRo+bx8HoX0TtIGfCRYrYgQzirfOY9GVnIVmDSqUisH8/mn6zTdRjURTS16zhvz73kLFlq92CfL07dkAbEVH+eqxKhTYiAu+OHTDl55P6magGGzJiuN3qkSiKQurHH3PuseEYU1LwuPpqmqxfVyfFC0D6mrUUxsaiDQsjuCjAWlIFotuL/kl+kaKmyfJekHpG7KvtzJm6jq+VmX3th4lKwI1vEgHBVRUvZsz9nbxDSm73jyo71ubOV8EvCtLOwO5Z1TtnbSIFjMRZMKdEV9UDUxxtUBBRc2bT8OOPcW/SBGNKCnHPPceFx0dVq7hcVVFpNOimTyt6UEqQFD3WTZ+GSqMhY9MmjCkpaCMj8e/du9ZtAzDl5BD37HMkzpkLRiP+99xD49Vf4N6okV3Ob2+MWdmkvPceAKFjxqD28nKwRS5KeAsYsR2CGovA0+W9Yd+7ts+cqW806ibEwxUdr82owD9ajLMVrfpCz9fE32EtSvZ3Ko1nANy7QPz967tw8ZDt7LAFLlIDBqSAqfNYPDBWxsBUhE/nTjTZtJHQZ8ahcncn++efOX1vX1Le/wCloKDGx68I/549iV64AG2puilanY7ohQvw79kTxWSypE4HDxtql6DjgrNnOfvQIPTbtoFWi276dKLmz0Pt7WRuYRuSunIlxtRU3Bs1InBAf0eb49oENYYR30J4K8hKgG+nlV0Qbe1QKWKsxbysA1wpYspY1rEVGRfFfUzHsvs7FefqXtDuIVGpedOYkrVrHE2ea7QRAClg6jyWGBhf27wZ1e7uhD39NE03b8K7axeU/HySFyzgdP/+5Byq3V8S/j17ctWu7wgYMAAQmT1X7foO/549Acj6/nsKzp5F7edH4MAHatUWgMzvd3Nm4APk//svmrBQGn28kuChQ+pkGX3FaCR7/wHSVq/m0rJlAIRNnOCwzLQ6hV8EDN0sKsuWSdFS7fapcjnJWszLOqXjispb1rEF6UXe6ICG1o3vPRd8wiD5H9jzpu3tqS4utIQkg3jrOFXNQrIW98aNabh8OfotW0icM5eCU/9x7tEhBAwcgO6552otqFOl0eDZpg0ZX36JIeUSOYcO492xAyqNxtK0Mejhh9H41l5TRMVoJHnJEi699z4AXu3bE73gHdzCw2vtnI5Ev2MHibPnlExl12pBJX//2Izkf0Tzx3JRQB8L535xzswVZ6RVX1HG/9wvIrDXV3c5G6g2MAuYQCsFjHcw3P2mqFmz921hb0Tb2rHNWkxGSDkp/s65JB7X1vWyAfIbqI5T3Swka1CpVATcey/Ntm0l8AHh8chY/yX/3d2HjE2baiXIV79jB8kLFwKQf/y4pZ1AyvsfkHvkCCo3N4IeHWzz85oxpqdz4cmnLOIlaMgQGn28sk6Ll9jxE66sw2MwEDuh7ArIkmpgbeaMteMkArVGCL62Aytf1qkpGRfEvbUCBqD1/dDyXjAZxFKS0YFNdc0NKU8VVQo+8pnTx19JAVOHUUymYpV4qxlhbwWawEAiX3uVRp9/hkfzqzCmphI3ZSrnh48g/8wZm53HPJma0tNLbDckJpK8YAEA/vf1rbGYMC+XlG4YmXf8OGcGDCR7715Unp5EzZ9HxAvT6+wyimI0kjh7ToUNCBNnz6m0oabECqzNnHGru7FVLo3JBOlmAdOgas+9+y3wDIT4P+CXRTY3zSoqakjpxPFXcgmpDmPKybFMPuZu1LWJd4cONPnySy6tWEnKu++S8+uvnOl7HyFPPknIE6NQ16D3T4WTabFtNW3aWNZyiTYiAt/u3clYv160BGjYULQEuOaaGp3L2alOBWRJNTFnzpRbEK2I9SOg/VDoOgaC6maWm0uSlSCWAFUakSJdFfx0Ih5m41Pww1y4+i7ISbHPshdY0ZBSJeKvWvRxuuUk6YGpw5gzkFTu7qg9POxyTpW7O6FPPkHTLV/jc9NNKIWFpCxZwpn77id7/4FqH7fSybQIY1p6tc9R3nKJISGB9M8/R8nPx/fWW2mybm2dFy9Q9QrIkhpgTeZMYCMw5MKBD0Tn5fUjxa92ieMxe18CokFTDb/AtYPgqh5gzIcPb6ndNHqTEbKSIOGYaEi5e7YVDSmL4q+cDOmBqcNcjn+xfzS5e4MGNFj2IZnffEPCnDkUnDnD+WHDCLj/fsKnPI82KKhKx6vtydSa5RK1ry/RSxajrqNLRqWpagVkSQ0xZ85sn1JyQvGPEr/QW94LZ36EnxfCf9+LUvjH1kPT2+GmCaKEfh3MgHMJLAG81fSKqVTCw3HqOzCWKklRUQNKM4W5kJ0MWcniPjvpysfmv3MuUaGXrzycMP5KCpg6jDWdqGsTlUqF/91343PTTSS98w7pq9eQsXEjWbt3E/788wT072d1ynFtT6bWeHhMWVnk/nak3iyXeHfsgDY8HENSUtkDVCq0Oh3eHTvY17C6TGWZM01vE7f4P+DnRfDXBji9W9wir4Ubx0PL+6rnBZBUD5NRCEsAjXv1MndMxsobUG4eBwl/QnZKkShJFp6U7BQoyKyi0SpROdgnDDRu4riVYW2clh2R7/I6jKUTtR3iXypC4+9P5EsvEXjffcS/9DL5J04Q/8ILZGzYQMQrL+PRrFmlxzC3EzAkJpbrJTG3E6gOcrnkSlQaDZ7t2pL13a4ydpasgCyxIebMmYqIvBYGfgTdZ4jqvb99IkTN+hHCC9BtHFw32Pn67NQ1jm8u6TH7b5dY8un9RtVqzZz7pZJlHCAvveImlRp38AkHn1DwDS/1d9jlm284eAVfFrlVaUjpZEgBU4cxZRZV4fWtvQykquB13XU0Wb+O1E8+JXnJEnIOHeL0/f0IeXwkoU8+idrTs9znmtsJxD4zvtwxNZpMFZNVw+rTckn+6TNk/bgHEJlmxmLZX1qdDt30aZYighIHEdQY7p4Ht06Bg/8T8THp52DbcyK2ofOTcMMo8Amp9FCSKmLO3Ck96Vuz5FMaa5dnmtwGDbuAr1mQFIkT3zDRPbo6S4hVbUjpREgBU4cxZhb1QXKwB6Y4Kjc3QkaOwL93LxJefY2sH3/k0nvvo9+2jciXXrJ792hDWhop771H2qovKh5Yz5ZLFEUhcdYsKCzE99ZbiXl3qVhmS05GGxZmKR4ocRJ8QuC2KcLz8vvnsG8JpJ2FH+bA3gXQfkhR5lJjBxtaR7B15o61yzO3PFc7hQwri7+qjcrFNkCl2KulsJ3R6/UEBASQkZGBvxNN4PYk5b33SF64iMAHHiDytVcdbc4VKIpC5o6dJM6aZYmz8L/nHnRTp6ANDS051mjkVPce5cepFAmMq3Z9Z9XEasrPJ+3TT0n54ENLrJBHixbk//OP+BVT/GNR9KvG3HOpPpD53XdcHDsOlZsbTbd8XWcbU9ZZjAb4e7MI+I3/XWxTqaF1P+j2DERd50jrXJ8zP4kMocoYtsU6wWHtMs6Eo7WfUm2vysUVYO38LdOo6yiK0UjeCVES2piV5ZTFxlQqFf69etJ021aChgwBtRr9li38d3cf0tasRTFdXtapSk2SilBMJjI2b+a/u+4i6c23MGVm4tGiBQ0++h9NN24getHCChtG1gdMeXkiIwsIHjlCihdXRKOFNv3hiR9En6Vm3cUy6bEv4cNb4ZP7RCZT3fz9WvvYunKyoxpQlmWHvSoX2wCbC5g5c+Zwww034OfnR3h4OPfffz8nTpwoMSYvL48xY8YQEhKCr68vAwYMIDGx5D/6/Pnz9OnTB29vb8LDw5k8eTIGgwPLLLsQ+h07ONW9B5nbtwOQ+c03nOrew2nLvmt8fYl4YTqN16zBs1UrTHo9CS+9xLnBj5J3UogwWwTZZv/6K2cHPkDc81MwxMWjjYggcs4cmny5Ht8bbwQuN4xs+PHHRL35Jg0//rhEw8j6wKVl/6MwLg5tZCShTzzhaHMkNUGlgqa3wpCv4Km90PZBUWzt9A/waT/44GY4ut6xJexdEWuXfC4eBGNFPa6K4YgGlC6OzZeQevfuzaBBg7jhhhswGAxMnz6dY8eOcfz4cXx8RIO90aNHs3XrVlauXElAQABjx45FrVbz888/A2A0GrnuuuuIiIhg/vz5xMfHM3ToUEaNGsXs2bOtsqO+LiGZi7Fd8cvKRZZBFIOBtFWrSF6wUFQS1moJGT4cNBouvf9+pc9v+PHHV6Q55586RdL8N8n6UaQ6qn18CHniCYKHDa0wcLg+UnDhAqf73INSUED0ggX49+7laJMktib9fFHm0sdQmCO2BTaEruPg+sHgXnuNUOsMlS75FCO4GfR4CVr2tS7I1kmWcRyJtfN3rcfAJCcnEx4ezo8//sgtt9xCRkYGYWFhrFq1ioEDBwLwzz//0LJlS/bt20eXLl345ptvuOeee4iLi0NX5M5///33mTJlCsnJybhbUZK+PgoYW8eJOJLChAQSZ80ic+d31j2hjNdWmJREyuIlpH/5pehVotUS9OCDhI55Gm2IzMooiwtPjyHr++/x7tqFhsuXW12nR+KC5KSKzKX97xcVN0Ok13Z6AjqNEim4kvKxZCFBmZk77YfCP1tFWwCAmE5w56vQqKs9rXRJnCYGJiMjA4Dg4GAADh8+TGFhIT169LCMadGiBQ0bNmTfvn0A7Nu3j7Zt21rEC0CvXr3Q6/X89ddfZZ4nPz8fvV5f4lbfsFWciDPgFhFBzOLFRC9ZDGrr3qbmNGpTdjbJi5fwX++7SF+3Dkwm/O7sQdOvNxMxc4YUL8Uo3rgy5cMPyfr+e9BqiXjhBSle6jrewXDr8zDxL+jzlshQyk2FH+fCO21g63OQartmrHWOypZ8+i6C8b+LFHc3b7h4AFb0hi8egeSTDjG5rlGradQmk4kJEyZw44030qZNGwASEhJwd3cnMDCwxFidTkdC0eSbkJBQQryY95v3lcWcOXN45ZVXbPwKXIu6WIxN4+cvvCeVEDp2LH533EHa2rUkL16MMVn86vG8th2655/Hu0P9SH+uCmU1rgTwvflmPK66ykFWSeyOmxfc8Dh0GC4yl/YuEJlLB5fBoY+g1f1w4zMQdb2DDXVCKquc7OEHt0+HjiNEo8bfPoETW+HkduGhuW0q+EU49jW4MLUqYMaMGcOxY8fYu3dvbZ4GgGnTpjFp0iTLY71eT4MGVWxr7uJorPQsWDvOGbBWbJlysjl9//0UnPoPALcGDQh/dhJ+vXpJT0IZlBsrBWTt3o1+xw67xkopRqOsM+No1BqRZt3qfjj7k0jBPvUd/PWVuDW5VbQqaHaH7LlUHGsqJ/tFwL0LoMto+O4VIWIOr4A/14jaPd3GCbEjqRK1JmDGjh3Lli1b2LNnDzExMZbtERERFBQUkJ6eXsILk5iYSEREhGXMgQMlOxebs5TMY0rj4eGBh506Ljsv1oYzuU7qpLWVb1M/Wg6AJiCA0DFPEzRoECorYqXqI9Y0rkycNRvfO+5Ara39WpdleYK0ERGy0q+jUKmgyS3ilnAUflksMpXO/ChuurZCyLTuJ3suVZWwa+DhVXBuH+ycIbKUfnwDDi0X3pj2w0RvIpDBvFZg8yBeRVEYN24cGzZs4IcffqB58+Yl9puDeL/44gsGDBgAwIkTJ2jRosUVQbzx8fGEh4cD8OGHHzJ58mSSkpKsEir1KYhXURRyDh4k+e23yf39j0rHR735JgH39LGDZTXHEphcQQ8kANzcCB46hNAnn0RTx//fNSV7/wHODxtW+UCNBk1gIBpfX9T+/mj8/FD7+aHx90Pt5y/ufc2P/dD4+xd77I/ax7tS75erZ83VG9LPw6/vweGPoTBbbAtoKKr7th8iM5eqg6KIJbvvXobU02JbyFXQ/SVAEZV8r6iKW8UeSy6Kw7KQnn76aVatWsWmTZu45pprLNsDAgLw8vICRBr1tm3bWLlyJf7+/owbNw6AX375BbicRh0VFcW8efNISEhgyJAhPP744zKNuhhGvZ6MTZtJW7PasnRiDWWlGjszlkkOyhUxrvaaHEnGlq3EPfdc7Z9IrRbCxs8Ptb8fGt+i+yLxo/L2Ie2zzyyVkK/AhbLm6g05qSIu5tf3L2fXeAWJfkudnhA9eSRVw1gIh1eKGBnzNS2Toh8D9aAmjMMETHm/uFasWMFjjz0GiEJ2zz77LF988QX5+fn06tWLd999t8Ty0Llz5xg9ejQ//PADPj4+DBs2jLlz56K10qVdlwVM7rG/SFv9Bfqt21BycwFQeXvjf/fdZO3ejTE1teyJ3oUnBP22bcS/9HLJyU6rhaLihm7R0TT67FPcIiPLOYLEjLUemKh33sajaTNMWZkY9XpMmZkY9ZlFjzMxZeqL7jMxZmZi0usxFv1NoZXFu6xAilMnpDAX/vhCLC+ZvQdaT9EBu9tYCG7qWPtckTy9iDv66S3KX+a3U0sBB+M0dWAchbMKmPKCFSsLYjTl5qLf9g1pq1eTd/SoZbtH8+YEPjyIgL590fj6lu+tcFGXvKIoZH77LUlvv0Ph+fMAaMLDCRo8mJCRIzCmpnJuyBAKz53HvVEjGn32qUM7RrtCMGqly3I1FLqKoqDk51tEj1ngWERQZiYmfSa5x46Ss+/XSo/nSkue9Q6TEf7ZIjKX4n4T21RqaHWf6LkU3d6h5rkctu6x5KJYO3/LCCw7Ul6won+fu9Fv3VZmEKPHVVeRvmYN6Rs2YiqqbaNyc8OvVy+CHh6EV/v2Jbxe/j17wsIFV55Hp3O5oMic334j6Y155P4h4no0oaGEjRtH4ID+qIo8cerwcBqtWMG5R4dQcO4c50eMoOEnn6ANCrK7va4SjKrSaNBNnyaEbjmNK801dap1fJUKlaenqHJcFMNWFtn7D3DeCgHjSEEqqQS1RoiVln3h7N6izKWd8NcGcWtyS1HmUneZuWQNtu6xVMeRHhh72VNB2qq1uMXEEPjQgwQOGIC2qDBgebiCJ6A88s+cIfntty1VeFVeXoSMGEHIiOGofcoOFiw4f55zjw7BkJSER8uWNFq5Ak1AgN1sdsVgVEcLLsVo5N8bb8KYnl72ABde8qzXJBwTS0vH1oOpqMeSrk2xzCU3x9rnzEgPDCCXkJxKwFRa4r8SfG6/neBHHsbnxhtRWVmV1hUxpKaSsvRd0tasEbEtajWBAwYQOm4sbhX8kjeTf/o054YMxXjpEp7t2tFw+UdofH1r3W5XbuHgSKFbcDGW0/fea4njKoETCz+JlaRfKMpcWlksc6mByFy6fgh41P5n0+WotMeSjIEpjhQwdsDqtNVyqOtBjKa8PFI//oRLH36IKVt80fncegu6557Do1QafmXknTjJ+aFDMWZk4NWxAw0//BC1t3dtmG3B2v9vXf8/VgWloICzjw4h788/cWvUCCUvT8TkFOGMS2+SapKbBgc/Ej2XsosKU3oGin5LnZ6UmUulOb4Z1g4pY4fMQiqNjIGxAzUt3e9Kpf+rgmIykbFpM8kLF1q8Fx6tWqJ7/nl8unSp1jE9r7maBss/4vxjw8k9dJiLY8cS8957qGuxyGHBhQtWjaur/8fqkPjmm+T9+SfqgAAaLf8IbUSEyy55SirBKwhueQ66ji2WufQf7Jkv/r5usPDKhDRztKXOwdW9wTMA8jJKbvePgt5z67x4qQpSwNiBmgYh1sUgxqyffyZp/pvk//MPANqoSMInTMD/nntqvEzm1bo1DZd9yPkRI8n+ZR+xz4wnZvEim1fmVQoLSVuzluQFC6warwmT3X1BxN6kffIpAFFz5uAWHQ0gvVN1HTdP6Dj8cpfmnxdA7GFRV+bwChEIfOMzEF3P+5b9s0WIF+8w6L8Mci/JSrzlIJeQ7IDV1WRL48SxE9Ul78RJkt58k+yffgJA7edH6JNPEDRkiM29JNkHDnDhiSdR8vLwu/NOot9525K9VBMURSFzx06S336bgnPnxEaNBozGCp/n26MHUbNn1etKwQUXLnCm/wBMmZkEjxiB7vnJjjZJ4igURZTK/3kh/Pvt5e2Nb4YbJ8BV9Sxzydw6YOskSDkJNz8H3Wc42iqHIGNgnEjAgHXVZEtQx4IYCxMTSV60iIwNG0V3aa2WoEceJnT06FpNec7a+zMXR49GKSzE/557iHpjbo3EYM5vv5E0bz65v/8OiMaYYePGogkIIHbSs2JQ6bRkRbEIHLeYGKLfeQevtm1q8KpcE1NBAecefoS8v/7C6/rrafTJx6jcZEaKBEg8Dr8sgqPrLmcuhbcWmUtt+l+ZuVTX+gQd3wzbp5RsHeAbAXfPr5dLRlLAOJmAgerVgXEF8VJRJosxK5tLH/2P1BUrUfLyAPDr1YvwSRNxb9TILvZlfr+bi888AwYDAQP6E/naa1VepioztXv4cIJHjEDjK1K7K0pLdouMJHbCRApjY8HNDd3kyQQNebRedcpOePU10latQhMYSJMNX8mqyZIrybh4OXOpIEts848p6rk0VGQulTXZu3KfoOObYe1Qrsw6qj9Bu6WRAsYJBQyIyf7C6KfJ3rMH//vuI2r2LKsq8Tor5U7aU6ZgTE8jeclSjJcuAeB1/fWEPz8Z7+uvt7+d278ldtIkMJkIeuRhdDNmWCUeDJcukbJ0KWlr1oolInNq99ixuOmuTO2uUMzp9cS/8CKZO3cC4HdnDyJn1Y8lJf033xA7cRIADT78AN9bbnGwRRKnJjdNdGj+9X3IThLbPANFYby/v6bOTPaWtOm4cgbUj7Tp0kgB46QCBuDSR8tJmj8fv7t6E/POO442p9pYW5zPrVFDwp99Fr8773SoxyFj82bipkwFRSF4+HDCnp1E7uHfyhQbptxcUleu5NKy/2HKyQHA97bbCH92UpVTu4ujKAppn31O4rx5UFiIW3Q00e+8jVe7djZ5jc5IwdmznBkwEFN2NiGjRhH+7CRHmyRxFQrz4M/V8PMikblUIS442cvCdWUi06idGPdmotFZwX+nHWxJ9VGMRhJnz6lYvKhUhE+bRvDDg5wi1iGgb19M+fkkzJhJ6ooVpK9da6k7A0Weo6lTMGVlkbxoMYYk8cvPs3VrwidPxqdL5xrboFKpCB7yKF7XXUfsxIkUXrzI2cGPonvuWYKGDq1zS0qm/HwuTpyEKTsbr44dCBv/jKNNkrgSbp7Q4TFR+O6nN2H37AoGK6CPFbExzj7ZZybAsa9EbRxrkK0DykQKGAfg0UzUOyg4exbFaHSJpaLS5Bw6XHllYUXB85prnEK8mAl64AFy//iTjPXrS4gXAENCArETJloeu0VHEzZxIv5332XzCshebdvQ5KsviX9xBpk7dpA4Zy7ZBw6KLCU7tkCobRJnzyH/77/RBAcT/dZbNskCk9RD1BoItrJOjLNO9nkZYvnr6Do4swcUk/XP9dXVnl0uTN2tS+/EuEVFofLwQCkooPDiRUebUy2sLcrmbMXbFKOR7L17Kx6kUhE2eTJNv9lGwD19aq19g8bfn+iFC9DNeBGVmxtZu3Zxpl9/S/NKVydjy1bS16wBlYqoefNw08kvYUkNsHYSd6bJ3pAvRMuaITC/OWwaA6d/EOIlphPcNU9kG1Ge51UF/tEiy0pyBfLnkANQaTS4N2lC/j//kP/fabtl49gSa4vrOVsRPms9R15t2qC2ceG7slCpVAQPHly0pDSJwvPnOTv4UcKffZbgx4a57JJS/ukzJMycCUDIU0/ie9ONDrZI4vI06iZiXMrtE4QQA46e7E1GOPcz/LlWZBjlF6uoG3oNtHsA2gyE4CZim19kURaSipKvq+iz33uu68T02BnpgXEQHk2L4mBOVxaY5px4tWuLqqLCcyoV2ogIvDs6V1VNZ/UcebVuTZMv1+PXuzcYDCS98QYXx4wtv1OzE2PKzSV2wgRMOTl4d+pE2NixjjZJUhdQa0SqNFCux8KQDyn/2s0kC4oCcb/Dty/AO63h43vhyKdCvPhHQ7dn4MmfYMx+uGXyZfECImvqwU/Av1RZAf8o18uqsjPSA+MgzIG8+S4YyKsUFhL3/PMo+fllDyjyGuimT3O6+B5n9hxp/PyIfudt0jt3InH2HLK+/57T/fsT8/bbeF13nd3tqS4Js2aRf/IkmtBQot6c73TvAYkLY57sS9eB8YsAlUYE8a7oDY9+aZ+WBKmn4eh64W25VEw4eQZAq/uh7QPQ6EaobBm6VV9o0aduFeezA1LAOAhzIG++i3lglMJCYp99jsyd36FycyP48ZFkbNhYsg6MTue0Rfi8O3ZAGxFRfluHovYNjvIcqVQqgh5+GK9rr+XixIkUnjvP2UeHED5pEsHDH3P6JaWMTZvIWP8lqFREz5+HW/iVtXIkkhpR3mSflwGfDxT9lT7uC4NWQdNbbX/+rCSRQXR0HcQeurxd6ykaMbZ7EK7qAdoqtkZRa5w/e8rJkHVgHETeiZOcue8+1L6+XH3wgNNPTACKwUDsc5PJ3L4dlZsbMUsW43vrrS5XhK/ctg5O1r7BmJVFwsyZ6Ld9A4g6NJFzZtdq64WakH/qFGceeBAlN5fQsWMJGzvG0SZJ6hv5WbD6ETjzI2jcYeAKaGlFnZXKyNOLBpRH114OwgVQqaHpbcLT0uIe8HS+ucYVkYXsnFzAmAoKOHHd9WAycdWeH53+l6piMBD3/BT027aBmxsxixbid/vtjjar2lRU9t8ZxIsZRVFIX7OGxNlzUAoK0EZGEv3WW3i3t38144ow5eRw5sEHKTj1Hz7dutJg2TKnFrGSOowhH74cKbJ/VGrouwSuH1yN4xTAqZ3C03LiGzDkXd4X3QHaPgit+4GfE2U91RGkgHFyAQNwqlcvCs+dp+HKFfh06eJoc8pFMRqJmzIV/ZYtQrwsXIDfHXc42qwa40qeo7y//yZ2wkTR/VqjIXzSRIKHD6+1FO+qEjd1GhkbN6IJC6Xphg1oQ0MdbZKkPmM0wNfj4ffPxONes6HzU5XHmJhMcP6XogyiTZCXfnlfyFVCtLQdCCFW1qSRVAspYFxAwFwY/TRZu3ejm/EiwYOr8QvBDihGI3HTpqHf/DVotcQseAe/Hj0cbVa9xJiVTcJLL6HfuhUAn1tvIWruXIcvKaV/+RXxL7wAarUQ4506OdQeiQQQy8M7XoR9S8RjrWdJL4q5AWTLeyHxmBAtx74UgcBmfCOgzQCR+hx5nWWZWVK7yFYCLoBHs6Zk7d7ttC0FFKOR+OkvCPGi0RD99ltSvDgQja8PUW/Ox7tzJxJfn0X2j3s4068/0W+/hXf79g6xKe/kSRJeew2AsGfGSfEicR5UKmjQCQ4WCZfi4gVEPZm1Q0Sac3HR4uEvAoXbPgCNb5aZQE6MFDAOxL2pORPJ+QSMYjIR/+IMMjZtEuLlrbecKjakvqJSqQh68EG82rUTS0pnz3JuyFDCJownZORIuy4pmbKziZ0wESUvD5+bbiLkiSfsdm6JpFKOby4qEFceRYsP+lhQu8E1vcUSUfOeogeTxOlxjgX0eoqHpamjc6VSKyYT8TNnkrFhgxAvb87Hv3cvR5slKYZnixY0Xr8e/3vuAaOR5Lfe5sJTT2FIS7PL+RVFIf7lVyg4fRqtTkfUvDecJh5HIsFkFLVirOWhT+Ghz4TnRYoXl0F+4zgQ96JqvIbkZIyZmQ62RqCYTCS89LKo5aFWEzXvDfzvusvRZknKQOPrQ9T8eUS89ioqDw+y9/zEmfv7kXP4cK2fO33dOvRfX15a1AYH1/o5JRKrOfdLyUJ3lVGQXfkYidMhBYwD0fj5WSq+OoMXRlEUEl59lfR164R4eeMNAvr0cbRZkgpQqVQEPfAAjdeuwb1JEwyJiZwbOoyUDz5EMVWh220VyPvnHxJfnwVA2ITxeHdwrnYREkmVO1I7UwNIidVIAeNg3C0Vec841A5FUUh87TXSVxd1D547h4B7bVAASmIXPK+5hibr1+Hf916xpPTOO1x44kkMqak2PY8xK4vY8RNQCgrwufUWQkaOtOnxJRKbcKkKPwjdfaFh19qzRVJrSAHjYJyhqaOiKCS+Pou0VV+ASkXk7NkE9JUNxFwNtY8PUW+8QeSs11F5epK9d69YUjp40CbHVxSFhJkzKTh3Dm1kJFFz58q4F4lzYTLBrtfgh9nWP6cgC356q/ZsktQa8tvHwTi6qaOiKCTOmUPa558L8fL66wT2u98htkhqjkqlInDAALGk1LQphqQkzg17jJT336/xklL66tWirYFWK+JenLSlgaSekpsOXwyCn94Uj6/ujehaXU7tFq9guK6o/tYPs+GXxXYwUmJLpIBxMI5s6qgoCklz3yDtk08BiHztVQIH9Le7HRLb43n11TRZt5aA++4Dk4nkBQu5MOoJDJcuVet4uX/9ReLsOQCET5qE9/XO1cpAUs9JPgHL7oB/vxUF6/p9CI+sEZ2r/SNLjvUKgtumw+RTcP+7cPuLYvuOF+HgR/a3XVJtZCVeB1OYlMSpW24FtZprjvyG2qOKHUyriaIoJM1/k9TlywGIeOUVgh560C7nltiX9K82kPDqqyh5eWjDwoh6680qFZwzZmZypv8ACi9cwPeOO4hZusQlmo9K6gn/bIWvnoSCTPCPgUGfQ9R1l/ebjBW3EFAU2PUK7H1HPL7/fbjuYbu+BElJrJ2/pQfGwWjDwlD7+YHJRMHZc3Y5p6IoJL/99mXx8vJLUrzUYQL796PJurW4N2uGITmZ848NJ+W991CMxkqfqygK8S+8SOGFC7hFRRE1Z7YULxLnwGSC3bNF9+mCTGh0EzzxQ0nxAkKsNLlZ9DBqUkZlXZUKur8EnYoKMW56WvRBkjg9UsA4GJVKZddAXkVRSH5nAZeW/Q8A3YwXCRo0qNbPK3EsHs2biyWlfv3EktLCRVwYNQpDSkqFz0v77HMyd+wANzeiF7yDJiDAThZLJBWQlyGEy49viMedn4KhG8E3rHrHU6lEX6TrHgXFBOtHwskdNjNXUjtIAeMEWFKpazmQV1EUkhct4tKHHwKge+EFp20iKbE9am9voubMJnLOHFReXmT/so/T/fqR/et+yxjFaCR7/wEytmwldfVqEt8QE4Ru8nN4tWvnKNMlksskn4Rl3eHkN6DxgPvfg7veAI1bzY6rVkPfRdC6P5gKYc2jcPpH29gsqRVkLyQnwKNpE6D2PTApS5Zy6b33AdBNm0rwkEdr9XwS5ySw3/14tW1D7MSJ5P97ivMjRhA65mk8mjUjce4bGBISSoz3bNeOoCFDHGStRFKME9/Al6OK4l2iRQuAaBsWUlRroP+HovHjiW3wxcMwZAM07Gy7c0hshvTAOAGXmzrWXjG75KVLSVm6FIDwKVMIHjas1s4lcX48rrqKxmvXEjCgP5hMpCxeQuyEiVeIF4C8P/8kc+dOB1gpkRRhMsEPb4g06YJMaNhNxLvYUryY0bjBwBXQ9HYozIbPH4C4321/HkmNkQLGCbA0dTxzxqrAyqqS8v77pCxeAkD45OcIGf6Yzc8hcT3UXl5EzZpF5JxKin6pVCTOnlMr702JpFLy9LB2yOXidDeMgqGbwDe89s7p5imymRp2hfwM+LQfJP1de+eTVAspYJwAt5gYVO7uKPn5FMZVoQGZFaR8uIzkBQsBCHt2kiz9LrkCt6joigcoCoaEBHIO1X6TSImkBCmn4H894J8toHGH+5ZCnzdB617753b3gUfWQtT1kJsKn9xftRYFklpHChgnQKXR4N64MQD5NmzqeOl//yP57bcBCJswgdBRo2x2bEndwZCcbNNxEolNOPmtKE6XcgL8ImH4N3C9neP2PP3h0a8gvDVkJcAn90H6BVFb5sxPcHS9uDdJ76QjkEG8ToJ7s6bknzxJwX+n4bbbany8S8tXkPSm6O8RNv4ZQp96ssbHlNRNzB3RbTVOIqkRiiLaAXw/C1CgQRdRUdfPQR2jvYNFivaKu+DSKfhfd0AlBI0Z/yiRht1K9pCzJ9ID4yR4NLVdS4FLK1eSNG8eAKFjxxI6enSNjympu3h37IA2IkLUwigLlQptRATeHWshYFIiKU5+FqwdCt+/DijQcQQM+9px4sWMb7iIu/EOFRV9s0oFu+vjhd3HNzvGvnqKFDBOgiWQt4a1YFI/+ZSkuaJ2R+jTowkbO6bGtknqNiqNBt30aUUPSomYose66dNQaUpVMJVIbMml/0S8y9+bQe0G9y6Ee96xT7yLNfhFXlnF10JRR57tU+Vykh2RAsZJcC+qxpt/+jTVbU+V+tnnJM4WkfohTz1J6LhxNrNPUrfx79mT6IUL0OpK/tLV6nREL1yAf8+eDrJMUi/49ztYdjsk/w2+ETB8G3R4zNFWlcTcT6lcFNDHinESuyBjYJwE98aNQaXCpNdjTEmpcrxB2hdfkPj66wCEjBpF2PjxsmeNpEr49+yJX/fu5Bw6jCE5GW1YGN4dO0jPi6T2UBTRRHHXq4ACMZ3K7iDtDFQoXqoxTlJjpIBxEtSenrjFxFB44QL5p89UScCkrV5DwiuvAhA8cgRhkyZK8SKpFiqNBp/O1neqlkiqTUE2bBoDf20Qj9sPg7vng9bDsXaVh6+VcTjWjpPUGLmE5ERUp6lj2tq1JLz8MgDBw4cT/txzUrxIJBLnoayU49Qz8L87hXhRu4lYl76LnFe8ADTqJrKNKO/7VSXaGzTqZk+r6jXSA+NEuDdrBj/+aHVTx/QvvyRh5ksABA8bSvjzk6V4kUgkzsPxzbB9CuiLFej0DoHCXCjMAZ9w0c+oYRfH2Wgtao1IlV47FCFiSscqKtB7bgWBvhJbIz0wToQlE8kKD0z6VxuIf3EGAEFDhhA+daoULxKJxHk4vllM9vpS1cVzLgnxEtwUnvzRNcSLmVZ9y4/R8Y2Aq3vZ36Z6jPTAOBGWTKRKPDDpGzcS/8ILoCgEPfKISHGV4kUikTgLJqPwvFzhpSiGIc8140Va9YUWfS5nJbn7wOZnRG2Yve/AbVMdbWG9QXpgnAhzDIwhMRFjVlaZYzK+/pr4adNBUQh8eBC6GS9K8SKRSBxHWTEu53650vNSGn2c66YcqzXQ5GZoOxCuuQvumiu2//SW6N8ksQvSA+NEaAIC0ISGYkxJoeD0abzatSuxP2PLVuKmTBXi5cEHiZgxQ4oXiUTiOMqKcfGPgpb3Wff8upJy3Lo//L4KTn0HWyaI6sHyu7nWkR4YJ8OjnGUk/bZtxD3/PJhMBD4wkIiXX0Kllv8+iUTiIMqLcdHHwf73rDuGKy4hlYVKBX3eAq0XnP0J/ljtaIvqBXIGdDLcmjQGIHPHDrL3H0AxGtFv307sZCFeAgb0J+KVV6R4kUgkjsOaGJcKqYMpx0GN4dbnxd87XoCcVIeaUx+QS0hOhH7HDjK3fQNA1u7dZO3ejTowEJNeL8RLv35EvvaaFC8SicSxWBPjUiEKtB8KicfAMwA8A8HDH1z9u63bODi6DpKOCxFz7SNimcxXJ8SaTLG2KSqluo13nBy9Xk9AQAAZGRn4+/s72pxK0e/YQez4CaK0dhl439CRhitXyrLuEonE8RxdD1+OtPFBVULEeAVcFjUl7otuXqUem/e7+zhH3Mn5/bC8jN5h/lGijkyrvva3ycWwdv6WHhgnQDEaSZw9p1zxAlBw4aIdLZJIJJIKsDZ2pes48AmFxL8gOxkUE2jcIV8PuemQlyFuhlxAgfwMcasOam0pYVOe+Akse7+bZ/XOW5ryApP18SJm6MFPpIixEVLAOAE5hw5jSEiocIwhIYGcQ4dlnxqJROJ4zGX19fGUHQejEvvvfMW6ZRND/mUxk5cBeeklBU5eesn9pfeZDOKWc0ncqoPW0wrxU9b+onuNtlhsUFko4rpsnyrqyMjlpBrj1AJm6dKlzJ8/n4SEBK699loWL15Mp051bwI3JCfbdJxEIpHUKhWW1S9axqlKWX2tB/iGi1tVURRR2bdcgWMWQOnl7MsQ9hvyICuv+qnd7r5CBOWkVGQs6GNFDFGTm6t3HokFpxUwa9asYdKkSbz//vt07tyZBQsW0KtXL06cOEF4eDXe5E6MtZ2nq9KhWiKRSGoVc1n9surA9J5rv2USlUrEv7j7FDVbrCImExRkViJ+KhBHBZniOAVZ4mYNdaX+jYNx2iDezp07c8MNN7BkyRIATCYTDRo0YNy4cUydWnmpZlcK4lWMRk5174EhMbHsOBiVCq1Ox1W7vpNBvBKJxLkwV96tr9k2RoOI6clLh/9+gK0TK3/OsC3SA1MB1s7fTpmzVlBQwOHDh+nRo4dlm1qtpkePHuzbt6/M5+Tn56PX60vcXAWVRoNu+rSiB6Wi6Ise66ZPk+JFIpE4H8XL6je5uX6JFxCxL97Bojllh2FFXqDysqHqYP0bB+KUAiYlJQWj0YhOVzLSXafTkVBOsOucOXMICAiw3Bo0aGAPU22Gf8+eRC9cgLbUa9bqdEQvXIB/zzLS8iQSiUTiPJhjg4ArRUw1YoMkFeK0MTBVZdq0aUyaNMnyWK/Xu6SI8eveXWQlJSejDQvDu2MH6XmRSCQSV8FZYoPqAU4pYEJDQ9FoNCQmlgx0SkxMJCIioszneHh44OHhYQ/zahWVRiNTpSUSicSVadVXpErX59ggO+CUS0ju7u506NCBXbt2WbaZTCZ27dpF165dHWiZRCKRSCRWUN9jg+yAU3pgACZNmsSwYcPo2LEjnTp1YsGCBWRnZzN8+HBHmyaRSCQSicTBOK2Aeeihh0hOTmbmzJkkJCRw3XXXsX379isCeyUSiUQikdQ/nLYOTE1xpTowEolEIpFIBC5dB0YikUgkEomkIqSAkUgkEolE4nJIASORSCQSicTlkAJGIpFIJBKJyyEFjEQikUgkEpdDChiJRCKRSCQuh9PWgakp5uxwV+pKLZFIJBJJfcc8b1dW5aXOCpjMzEwAl2voKJFIJBKJRMzjAQEB5e6vs4XsTCYTcXFx+Pn5oVKVbmtuPeau1hcuXJAF8eyAvN72RV5v+yKvt32R19u+2Op6K4pCZmYmUVFRqNXlR7rUWQ+MWq0mJibGZsfz9/eXHwA7Iq+3fZHX277I621f5PW2L7a43hV5XszIIF6JRCKRSCQuhxQwEolEIpFIXA4pYCrBw8ODl156CQ8PD0ebUi+Q19u+yOttX+T1ti/yetsXe1/vOhvEK5FIJBKJpO4iPTASiUQikUhcDilgJBKJRCKRuBxSwEgkEolEInE5pICRSCQSiUTickgBI5FIJBKJxOWQAqYCli5dSuPGjfH09KRz584cOHDA0Sa5JHPmzOGGG27Az8+P8PBw7r//fk6cOFFiTF5eHmPGjCEkJARfX18GDBhAYmJiiTHnz5+nT58+eHt7Ex4ezuTJkzEYDPZ8KS7J3LlzUalUTJgwwbJNXm/bEhsby6OPPkpISAheXl60bduWQ4cOWfYrisLMmTOJjIzEy8uLHj168O+//5Y4RmpqKoMHD8bf35/AwEBGjhxJVlaWvV+K02M0GpkxYwZNmjTBy8uLZs2a8dprr5Vo/Cevd/XZs2cP9957L1FRUahUKjZu3Fhiv62u7Z9//snNN9+Mp6cnDRo0YN68eVU3VpGUyerVqxV3d3dl+fLlyl9//aWMGjVKCQwMVBITEx1tmsvRq1cvZcWKFcqxY8eU33//Xbn77ruVhg0bKllZWZYxTz31lNKgQQNl165dyqFDh5QuXboo3bp1s+w3GAxKmzZtlB49eihHjhxRtm3bpoSGhirTpk1zxEtyGQ4cOKA0btxYadeunTJ+/HjLdnm9bUdqaqrSqFEj5bHHHlP279+vnD59Wvn222+VU6dOWcbMnTtXCQgIUDZu3Kj88ccfSt++fZUmTZooubm5ljG9e/dWrr32WuXXX39VfvrpJ+Wqq65SHn74YUe8JKdm1qxZSkhIiLJlyxblzJkzyrp16xRfX19l4cKFljHyelefbdu2KS+88ILy1VdfKYCyYcOGEvttcW0zMjIUnU6nDB48WDl27JjyxRdfKF5eXsoHH3xQJVulgCmHTp06KWPGjLE8NhqNSlRUlDJnzhwHWlU3SEpKUgDlxx9/VBRFUdLT0xU3Nzdl3bp1ljF///23Aij79u1TFEV8qNRqtZKQkGAZ89577yn+/v5Kfn6+fV+Ai5CZmak0b95c2blzp3LrrbdaBIy83rZlypQpyk033VTufpPJpERERCjz58+3bEtPT1c8PDyUL774QlEURTl+/LgCKAcPHrSM+eabbxSVSqXExsbWnvEuSJ8+fZQRI0aU2Na/f39l8ODBiqLI621LSgsYW13bd999VwkKCirxXTJlyhTlmmuuqZJ9cgmpDAoKCjh8+DA9evSwbFOr1fTo0YN9+/Y50LK6QUZGBgDBwcEAHD58mMLCwhLXu0WLFjRs2NByvfft20fbtm3R6XSWMb169UKv1/PXX3/Z0XrXYcyYMfTp06fEdQV5vW3N5s2b6dixIw888ADh4eFcf/31LFu2zLL/zJkzJCQklLjeAQEBdO7cucT1DgwMpGPHjpYxPXr0QK1Ws3//fvu9GBegW7du7Nq1i5MnTwLwxx9/sHfvXu666y5AXu/axFbXdt++fdxyyy24u7tbxvTq1YsTJ06QlpZmtT11tht1TUhJScFoNJb48gbQ6XT8888/DrKqbmAymZgwYQI33ngjbdq0ASAhIQF3d3cCAwNLjNXpdCQkJFjGlPX/MO+TlGT16tX89ttvHDx48Ip98nrbltOnT/Pee+8xadIkpk+fzsGDB3nmmWdwd3dn2LBhlutV1vUsfr3Dw8NL7NdqtQQHB8vrXYqpU6ei1+tp0aIFGo0Go9HIrFmzGDx4MIC83rWIra5tQkICTZo0ueIY5n1BQUFW2SMFjMSujBkzhmPHjrF3715Hm1JnuXDhAuPHj2fnzp14eno62pw6j8lkomPHjsyePRuA66+/nmPHjvH+++8zbNgwB1tX91i7di2ff/45q1atonXr1vz+++9MmDCBqKgoeb3rGXIJqQxCQ0PRaDRXZGUkJiYSERHhIKtcn7Fjx7JlyxZ2795NTEyMZXtERAQFBQWkp6eXGF/8ekdERJT5/zDvk1zm8OHDJCUl0b59e7RaLVqtlh9//JFFixah1WrR6XTyetuQyMhIWrVqVWJby5YtOX/+PHD5elX0fRIREUFSUlKJ/QaDgdTUVHm9SzF58mSmTp3KoEGDaNu2LUOGDGHixInMmTMHkNe7NrHVtbXV94sUMGXg7u5Ohw4d2LVrl2WbyWRi165ddO3a1YGWuSaKojB27Fg2bNjA999/f4XrsEOHDri5uZW43idOnOD8+fOW6921a1eOHj1a4oOxc+dO/P39r5g86jvdu3fn6NGj/P7775Zbx44dGTx4sOVveb1tx4033nhFWYCTJ0/SqFEjAJo0aUJERESJ663X69m/f3+J652ens7hw4ctY77//ntMJhOdO3e2w6twHXJyclCrS05dGo0Gk8kEyOtdm9jq2nbt2pU9e/ZQWFhoGbNz506uueYaq5ePAJlGXR6rV69WPDw8lJUrVyrHjx9XnnjiCSUwMLBEVobEOkaPHq0EBAQoP/zwgxIfH2+55eTkWMY89dRTSsOGDZXvv/9eOXTokNK1a1ela9eulv3mtN6ePXsqv//+u7J9+3YlLCxMpvVaSfEsJEWR19uWHDhwQNFqtcqsWbOUf//9V/n8888Vb29v5bPPPrOMmTt3rhIYGKhs2rRJ+fPPP5X77ruvzNTT66+/Xtm/f7+yd+9epXnz5jKttwyGDRumREdHW9Kov/rqKyU0NFR5/vnnLWPk9a4+mZmZypEjR5QjR44ogPL2228rR44cUc6dO6coim2ubXp6uqLT6ZQhQ4Yox44dU1avXq14e3vLNGpbsnjxYqVhw4aKu7u70qlTJ+XXX391tEkuCVDmbcWKFZYxubm5ytNPP60EBQUp3t7eSr9+/ZT4+PgSxzl79qxy1113KV5eXkpoaKjy7LPPKoWFhXZ+Na5JaQEjr7dt+frrr5U2bdooHh4eSosWLZQPP/ywxH6TyaTMmDFD0el0ioeHh9K9e3flxIkTJcZcunRJefjhhxVfX1/F399fGT58uJKZmWnPl+ES6PV6Zfz48UrDhg0VT09PpWnTpsoLL7xQIiVXXu/qs3v37jK/r4cNG6Yoiu2u7R9//KHcdNNNioeHhxIdHa3MnTu3yraqFKVY+UKJRCKRSCQSF0DGwEgkEolEInE5pICRSCQSiUTickgBI5FIJBKJxOWQAkYikUgkEonLIQWMRCKRSCQSl0MKGIlEIpFIJC6HFDASiUQikUhcDilgJBKJRCKRuBxSwEgkEolEInE5pICRSCQSiUTickgBI5FIJBKJxOX4P7i/wgrK35RZAAAAAElFTkSuQmCC",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Import necessary libraries\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import random, time\n",
|
||
"from tests.libs.clustering import split_tour_across_clusters\n",
|
||
"from tests.libs.simulated_annealing import SimulatedAnnealing, total_distance\n",
|
||
"\n",
|
||
"# Function to generate city coordinates\n",
|
||
"def generate_cities(nb, max_coords=1000):\n",
|
||
" # Generate a list of nb cities, each with random coordinates within the range of max_coords\n",
|
||
" return [random.sample(range(max_coords), 2) for _ in range(nb)]\n",
|
||
"\n",
|
||
"# Track the time taken to generate cities\n",
|
||
"start_time_generate = time.time()\n",
|
||
"# Generate cities\n",
|
||
"cities = generate_cities(nb_ville, max_coords)\n",
|
||
"# Set the first city's coordinates at the center\n",
|
||
"cities[0] = [max_coords/2, max_coords/2]\n",
|
||
"stop_time_generate = time.time()\n",
|
||
"\n",
|
||
"# Track the time taken to split cities across clusters\n",
|
||
"start_time_split = time.time()\n",
|
||
"# Split cities into clusters\n",
|
||
"clusters = split_tour_across_clusters(cities, nb_truck)\n",
|
||
"stop_time_split = time.time()\n",
|
||
"\n",
|
||
"# Print out the time taken for each process\n",
|
||
"print(\"\\n---- TIME ----\")\n",
|
||
"print(\"Generate cities time: \", stop_time_generate - start_time_generate)\n",
|
||
"print(\"Split cities time: \", stop_time_split - start_time_split)\n",
|
||
"\n",
|
||
"# Initialize a new figure for displaying paths\n",
|
||
"plt.figure()\n",
|
||
"plt.title(\"Simulated Annealing\")\n",
|
||
"# List of colors for plotting\n",
|
||
"colors = [\n",
|
||
" '#1f77b4', # Bleu moyen\n",
|
||
" '#ff7f0e', # Orange\n",
|
||
" '#2ca02c', # Vert\n",
|
||
" '#d62728', # Rouge\n",
|
||
" '#9467bd', # Violet\n",
|
||
" '#8c564b', # Marron\n",
|
||
" '#e377c2', # Rose\n",
|
||
" '#7f7f7f', # Gris\n",
|
||
" '#bcbd22', # Vert olive\n",
|
||
" '#17becf', # Turquoise\n",
|
||
" '#1b9e77', # Vert Teal\n",
|
||
" '#d95f02', # Orange foncé\n",
|
||
" '#7570b3', # Violet moyen\n",
|
||
" '#e7298a', # Fuchsia\n",
|
||
" '#66a61e', # Vert pomme\n",
|
||
" '#e6ab02', # Jaune or\n",
|
||
" '#a6761d', # Bronze\n",
|
||
" '#666666', # Gris foncé\n",
|
||
" '#f781bf', # Rose clair\n",
|
||
" '#999999', # Gris moyen\n",
|
||
"]\n",
|
||
"\n",
|
||
"# Initialize a list for storing the best routes\n",
|
||
"best_routes = []\n",
|
||
"\n",
|
||
"# Iterate through each cluster\n",
|
||
"for i, cluster_indices in enumerate(clusters.values()):\n",
|
||
" # Select a color for the cluster\n",
|
||
" color = colors[i % len(colors)]\n",
|
||
" \n",
|
||
" # Retrieve city coordinates for the cluster\n",
|
||
" cluster_cities = [cities[index] for index in cluster_indices]\n",
|
||
"\n",
|
||
" # Run the SimulatedAnnealing algorithm and store the best route\n",
|
||
" simulated_annealing = SimulatedAnnealing(cluster_cities, temperature=10000, cooling_rate=0.999, temperature_ok=0.01)\n",
|
||
" best_route = simulated_annealing.run()\n",
|
||
" best_routes.append((best_route, color))\n",
|
||
"\n",
|
||
" # Print the total distance for the cluster\n",
|
||
" print(\"Total distance for cluster {} ({} cities) : {}\".format(i+1, len(cluster_cities), total_distance(best_route)))\n",
|
||
"\n",
|
||
"# Calculate and print total distance for all clusters\n",
|
||
"full_total_distance = 0\n",
|
||
"for route, color in best_routes:\n",
|
||
" full_total_distance += total_distance(route)\n",
|
||
"print(\"Total distance for all clusters: \", full_total_distance)\n",
|
||
"\n",
|
||
"# Plot each route\n",
|
||
"for i, (route, color) in enumerate(best_routes):\n",
|
||
" x = [city[0] for city in route]\n",
|
||
" y = [city[1] for city in route]\n",
|
||
" # Close the loop of the route\n",
|
||
" x.append(x[0])\n",
|
||
" y.append(y[0])\n",
|
||
" # Plot the route\n",
|
||
" plt.plot(x, y, color=color, marker='o', linestyle='-', label=f\"Cluster {i}\")\n",
|
||
"# Add legend to the plot\n",
|
||
"plt.legend(loc=\"best\")\n",
|
||
"\n",
|
||
"# Display the plot\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "4690adfe",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Algorithme par essaim de particules"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "a9539159",
|
||
"metadata": {},
|
||
"source": [
|
||
"L'algorithme des essaims particulaires est une méthode d'optimisation basée sur le comportement collectif des essaims d'animaux, tels que les oiseaux ou les poissons. Il utilise des particules qui se déplacent dans l'espace de recherche et communiquent entre elles pour trouver des solutions optimales. Cet algorithme est efficace pour explorer l'espace des solutions et trouver des optima locaux et globaux."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 34,
|
||
"id": "22b85b5a",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Variables to edit:\n",
|
||
"num_cities = 50\n",
|
||
"num_trucks = 5\n",
|
||
"num_particles = 50\n",
|
||
"max_iterations = 300\n",
|
||
"inertia_weight = 2\n",
|
||
"cognitive_weight = 1\n",
|
||
"social_weight = 1.5\n",
|
||
"incompleteness_probability = 0.8\n",
|
||
"start_time = 8\n",
|
||
"end_time = 18\n",
|
||
"infinite_distance_value = 1e6"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 49,
|
||
"id": "9a72af6d",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"### Best solution found:\n",
|
||
"\n",
|
||
"- **City Positions**: 22, 18, 5, 15, 27, 4, 36, 33, 16, 45, 17, 24, 50, 20, 48, 7, 1, 8, 3, 35, 40, 6, 25, 11, 43, 28, 34, 30, 38, 29, 26, 23, 13, 39, 47, 12, 2, 31, 37, 9, 49, 44, 19, 10, 41, 42, 32, 21, 46, 14\n",
|
||
"- **Total Cost**: 86000793.0"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 1: 22 -> 4 -> 17 -> 7 -> 40 -> 28 -> 26 -> 12 -> 49 -> 42 -> 22"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 2: 18 -> 36 -> 24 -> 1 -> 6 -> 34 -> 23 -> 2 -> 44 -> 32 -> 18"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 3: 5 -> 33 -> 50 -> 8 -> 25 -> 30 -> 13 -> 31 -> 19 -> 21 -> 5"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 4: 15 -> 16 -> 20 -> 3 -> 11 -> 38 -> 39 -> 37 -> 10 -> 46 -> 15"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/markdown": [
|
||
"Truck 5: 27 -> 45 -> 48 -> 35 -> 43 -> 29 -> 47 -> 9 -> 41 -> 14 -> 27"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Markdown object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Importing necessary libraries\n",
|
||
"import random\n",
|
||
"import numpy as np\n",
|
||
"import networkx as nx\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"import matplotlib\n",
|
||
"from IPython.display import display, Markdown\n",
|
||
"import matplotlib.cm as cm\n",
|
||
"from tests.libs.pso import Particle\n",
|
||
"\n",
|
||
"# Function to generate a matrix of distances between cities\n",
|
||
"def generate_distance_matrix(num_cities, incompleteness_probability):\n",
|
||
" # Initialize an empty matrix with zeros\n",
|
||
" distances = np.zeros((num_cities, num_cities))\n",
|
||
" # Iterate over each city\n",
|
||
" for i in range(num_cities):\n",
|
||
" # For each city, iterate over every other city to calculate distance\n",
|
||
" for j in range(i+1, num_cities):\n",
|
||
" # With certain probability, some distances will be missing (infinite)\n",
|
||
" if random.random() < incompleteness_probability:\n",
|
||
" distances[i, j] = float('inf')\n",
|
||
" distances[j, i] = float('inf')\n",
|
||
" else:\n",
|
||
" # Assign random integer value to the distances between i and j\n",
|
||
" distances[i, j] = random.randint(1, 10)\n",
|
||
" distances[j, i] = distances[i, j]\n",
|
||
" return distances\n",
|
||
"\n",
|
||
"# Function to generate random time windows for each city\n",
|
||
"def generate_time_windows(num_cities, start_time, end_time):\n",
|
||
" time_windows = []\n",
|
||
" # For each city, generate a random start and end time\n",
|
||
" for _ in range(num_cities):\n",
|
||
" start = random.randint(start_time, end_time - 1)\n",
|
||
" end = random.randint(start + 1, end_time)\n",
|
||
" time_windows.append((start, end))\n",
|
||
" return time_windows\n",
|
||
"\n",
|
||
"# Function to generate a graph representation of the cities and the distances between them\n",
|
||
"def generate_city_graph(distances, time_windows):\n",
|
||
" num_cities = distances.shape[0]\n",
|
||
" # Create an empty graph\n",
|
||
" G = nx.Graph()\n",
|
||
" # Add cities as nodes with their corresponding time windows\n",
|
||
" for i in range(num_cities):\n",
|
||
" G.add_node(i+1, time_window=time_windows[i])\n",
|
||
" # Add edges between cities with their corresponding distances\n",
|
||
" for u in range(num_cities):\n",
|
||
" for v in range(u+1, num_cities):\n",
|
||
" if distances[u, v] != float('inf'):\n",
|
||
" G.add_edge(u+1, v+1, distance=distances[u, v])\n",
|
||
" return G\n",
|
||
"\n",
|
||
"# Generate the distances and time windows\n",
|
||
"distances = generate_distance_matrix(num_cities, incompleteness_probability)\n",
|
||
"time_windows = generate_time_windows(num_cities, start_time, end_time)\n",
|
||
"# Generate the city graph\n",
|
||
"G = generate_city_graph(distances, time_windows)\n",
|
||
"\n",
|
||
"# Initialize the particles and the global best position and cost\n",
|
||
"particles = []\n",
|
||
"global_best_position = np.random.permutation(range(1, num_cities+1))\n",
|
||
"global_best_cost = float('inf')\n",
|
||
"for _ in range(num_particles):\n",
|
||
" particle = Particle(num_cities, num_trucks, distances, time_windows, infinite_distance_value)\n",
|
||
" particles.append(particle)\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
"\n",
|
||
"# Main loop for the particle swarm optimization algorithm\n",
|
||
"iteration = 0\n",
|
||
"best_costs = []\n",
|
||
"while iteration < max_iterations:\n",
|
||
" for particle in particles:\n",
|
||
" particle.update_velocity(global_best_position, inertia_weight, cognitive_weight, social_weight)\n",
|
||
" particle.update_position()\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" best_costs.append(global_best_cost)\n",
|
||
" iteration += 1\n",
|
||
"\n",
|
||
"# Display the best solution found\n",
|
||
"best_position_str = \", \".join(str(node) for node in global_best_position)\n",
|
||
"best_cost_str = str(global_best_cost)\n",
|
||
"markdown_text = f\"### Best solution found:\\n\\n- **City Positions**: {best_position_str}\\n- **Total Cost**: {best_cost_str}\"\n",
|
||
"display(Markdown(markdown_text))\n",
|
||
"\n",
|
||
"# ---------------- Plot the best cost for each iteration ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Compute the layout positions for the nodes using the spring layout algorithm\n",
|
||
"pos = nx.spring_layout(G)\n",
|
||
"\n",
|
||
"# Create labels for each node in the graph\n",
|
||
"labels = {node: str(node) for node in G.nodes()}\n",
|
||
"\n",
|
||
"# Draw the nodes of the graph using the computed positions\n",
|
||
"nx.draw_networkx_nodes(G, pos)\n",
|
||
"\n",
|
||
"# Draw the edges of the graph using the computed positions\n",
|
||
"nx.draw_networkx_edges(G, pos)\n",
|
||
"\n",
|
||
"# Draw the labels for the nodes using the computed positions and labels\n",
|
||
"nx.draw_networkx_labels(G, pos, labels)\n",
|
||
"\n",
|
||
"# Set the title of the plot\n",
|
||
"plt.title(\"Graph of cities with time windows\")\n",
|
||
"\n",
|
||
"# Turn off the axis display\n",
|
||
"plt.axis(\"off\")\n",
|
||
"\n",
|
||
"# Display the plot\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"# ---------------- Plot Truck Paths ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Initialize an empty list for truck paths\n",
|
||
"truck_paths = []\n",
|
||
"\n",
|
||
"# Create a colormap for the trucks\n",
|
||
"cmap = matplotlib.colormaps['gist_ncar']\n",
|
||
"colors = [cmap(i/num_trucks) for i in range(num_trucks)]\n",
|
||
"\n",
|
||
"# Split the global best position into separate paths for each truck\n",
|
||
"for truck in range(num_trucks):\n",
|
||
" path = []\n",
|
||
" for i in range(len(global_best_position)):\n",
|
||
" if i % num_trucks == truck:\n",
|
||
" city = global_best_position[i]\n",
|
||
" path.append(int(city))\n",
|
||
" path.append(path[0]) # Making the path circular by adding the first city to the end of the path\n",
|
||
" truck_paths.append(path)\n",
|
||
"\n",
|
||
"# Plot the truck paths on a graph\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.title(\"Truck Paths\")\n",
|
||
"plt.axis(\"off\")\n",
|
||
"for i in range(num_trucks):\n",
|
||
" path = truck_paths[i]\n",
|
||
" path_str = \" -> \".join(str(city) for city in path)\n",
|
||
" text = f\"Truck {i+1}: {path_str}\"\n",
|
||
" display(Markdown(text))\n",
|
||
" edges = [(path[j], path[j+1]) for j in range(len(path)-1)]\n",
|
||
" nx.draw_networkx_edges(G, pos, edgelist=edges, edge_color=colors[i], label=f\"Truck {i+1}\")\n",
|
||
" nx.draw_networkx_labels(G, pos, labels)\n",
|
||
"plt.legend()\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"# ---------------- Plot path cost for Each Truck ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Initialize an empty list for the total cost of each path\n",
|
||
"path_costs = []\n",
|
||
"\n",
|
||
"# Calculate the total cost of each path\n",
|
||
"for path in truck_paths:\n",
|
||
" path_cost = 0\n",
|
||
" for i in range(len(path) - 1):\n",
|
||
" u, v = path[i] - 1, path[i + 1] - 1 # Adjust the indices\n",
|
||
" # If the distance is infinite, use a replacement value.\n",
|
||
" distance = distances[u, v] if distances[u, v] != float('inf') else infinite_distance_value\n",
|
||
" path_cost += distance\n",
|
||
" path_costs.append(path_cost)\n",
|
||
"\n",
|
||
"# Plot a histogram of the path costs\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.bar(range(1, num_trucks + 1), path_costs, color=cm.rainbow(np.linspace(0, 1, num_trucks)))\n",
|
||
"plt.xlabel(\"Truck\")\n",
|
||
"plt.ylabel(\"Path Cost\")\n",
|
||
"plt.title(\"Path Cost for Each Truck\")\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"# ---------------- Plot Evolution of the Best Cost Over Iterations ----------------------------------------------------------------------\n",
|
||
"\n",
|
||
"# Plot a graph of the evolution of the best cost\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.plot(range(1, max_iterations + 1), best_costs)\n",
|
||
"plt.title(\"Evolution of the Best Cost Over Iterations\")\n",
|
||
"plt.xlabel(\"Iteration\")\n",
|
||
"plt.ylabel(\"Best Cost\")\n",
|
||
"plt.grid(True)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "d437ed79",
|
||
"metadata": {},
|
||
"source": [
|
||
"## <u>Experimental design</u>"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "7920c3f6",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Test de la variation du coût optimal en faisant varier le paramètre \"inertia weight\""
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 44,
|
||
"id": "7b503f38",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# List of inertia values to test\n",
|
||
"inertia_values = np.linspace(0.1, 5, 10) \n",
|
||
"\n",
|
||
"# Initialize list to store optimal cost for each inertia value\n",
|
||
"optimal_costs = []\n",
|
||
"\n",
|
||
"# Loop over each inertia value\n",
|
||
"for inertia_weight in inertia_values:\n",
|
||
" # Initialize particles and the global best cost\n",
|
||
" particles = []\n",
|
||
" global_best_position = np.random.permutation(range(1, num_cities+1))\n",
|
||
" global_best_cost = float('inf')\n",
|
||
" \n",
|
||
" # Initialize particles and find the best cost\n",
|
||
" for _ in range(num_particles):\n",
|
||
" particle = Particle(num_cities, num_trucks, distances, time_windows, infinite_distance_value)\n",
|
||
" particles.append(particle)\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" \n",
|
||
" # Iterate to find the optimal solution\n",
|
||
" iteration = 0\n",
|
||
" best_costs = []\n",
|
||
" while iteration < max_iterations:\n",
|
||
" for particle in particles:\n",
|
||
" particle.update_velocity(global_best_position, inertia_weight, cognitive_weight, social_weight)\n",
|
||
" particle.update_position()\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" best_costs.append(global_best_cost)\n",
|
||
" iteration += 1\n",
|
||
"\n",
|
||
" # Store the optimal cost for this inertia value\n",
|
||
" optimal_costs.append(global_best_cost)\n",
|
||
"\n",
|
||
"# Plot the evolution of the optimal cost as a function of inertia\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.plot(inertia_values, optimal_costs)\n",
|
||
"plt.title(\"Evolution of Optimal Cost as a Function of Inertia\")\n",
|
||
"plt.xlabel(\"Inertia\")\n",
|
||
"plt.ylabel(\"Optimal Cost\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"attachments": {},
|
||
"cell_type": "markdown",
|
||
"id": "f3b2b02d",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Test de la variation du coût optimal en faisant varier le paramètre \"cognitive weight\""
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 45,
|
||
"id": "c33fdf6c",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1000x600 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# List of cognitive weight values to test\n",
|
||
"cognitive_values = np.linspace(0.1, 5, 10) \n",
|
||
"\n",
|
||
"# Initialize list to store optimal cost for each cognitive weight value\n",
|
||
"optimal_costs = []\n",
|
||
"\n",
|
||
"# Loop over each cognitive weight value\n",
|
||
"for cognitive_weight in cognitive_values:\n",
|
||
" # Initialize particles and the global best cost\n",
|
||
" particles = []\n",
|
||
" global_best_position = np.random.permutation(range(1, num_cities+1))\n",
|
||
" global_best_cost = float('inf')\n",
|
||
" \n",
|
||
" # Initialize particles and find the best cost\n",
|
||
" for _ in range(num_particles):\n",
|
||
" particle = Particle(num_cities, num_trucks, distances, time_windows, infinite_distance_value)\n",
|
||
" particles.append(particle)\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" \n",
|
||
" # Iterate to find the optimal solution\n",
|
||
" iteration = 0\n",
|
||
" best_costs = []\n",
|
||
" while iteration < max_iterations:\n",
|
||
" for particle in particles:\n",
|
||
" particle.update_velocity(global_best_position, inertia_weight, cognitive_weight, social_weight)\n",
|
||
" particle.update_position()\n",
|
||
" particle_cost = particle.evaluate_cost()\n",
|
||
" if particle_cost < global_best_cost:\n",
|
||
" global_best_cost = particle_cost\n",
|
||
" global_best_position = particle.position.copy()\n",
|
||
" best_costs.append(global_best_cost)\n",
|
||
" iteration += 1\n",
|
||
"\n",
|
||
" # Store the optimal cost for this cognitive weight value\n",
|
||
" optimal_costs.append(global_best_cost)\n",
|
||
"\n",
|
||
"# Plot the evolution of the optimal cost as a function of cognitive weight\n",
|
||
"plt.figure(figsize=(10, 6))\n",
|
||
"plt.plot(cognitive_values, optimal_costs)\n",
|
||
"plt.title(\"Evolution of Optimal Cost as a Function of Cognitive Weight\")\n",
|
||
"plt.xlabel(\"Cognitive Weight\")\n",
|
||
"plt.ylabel(\"Optimal Cost\")\n",
|
||
"plt.show()"
|
||
]
|
||
}
|
||
],
|
||
"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": "3.11.3"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|