{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Recherche locale\n",
        "\n",
        "CSI 4106 - automne 2026\n",
        "\n",
        "Marcel Turcotte  \n",
        "Version: août 9, 2026 12h46\n",
        "\n",
        "# Préambule\n",
        "\n",
        "## Message du jour\n",
        "\n",
        "![](https://media.nature.com/w1248/magazine-assets/d41586-025-03340-w/d41586-025-03340-w_51595896.jpg?as=webp)\n",
        "\n",
        "[Universities are embracing AI: will students get smarter or stop\n",
        "thinking?](https://www.nature.com/articles/d41586-025-03340-w), Nature\n",
        "News, 2025-10-21.\n",
        "\n",
        "## Objectifs d’apprentissage\n",
        "\n",
        "- **Comprendre** le concept et l’application des algorithmes de\n",
        "  recherche locale dans les problèmes d’optimisation.\n",
        "- **Implémenter** et **analyser** l’algorithme de montée de colline\n",
        "  (*hill climbing*), en reconnaissant ses limitations comme les maxima\n",
        "  locaux et les plateaux.\n",
        "- **Appliquer** des stratégies efficaces de représentation des états\n",
        "  dans des problèmes comme les 8-Reines pour améliorer l’efficacité de\n",
        "  la recherche.\n",
        "- **Expliquer** comment le recuit simulé surmonte les optima locaux en\n",
        "  acceptant probabilistiquement des états pires.\n",
        "- **Analyser** l’influence de la température et de la différence\n",
        "  d’énergie sur la probabilité d’acceptation dans le recuit simulé.\n",
        "- **Reconnaître** l’application du recuit simulé dans la résolution de\n",
        "  problèmes d’optimisation complexes comme le problème du voyageur de\n",
        "  commerce.\n",
        "\n",
        "Dans cette présentation, nous analyserons deux algorithmes de recherche\n",
        "locale : la montée de colline et le recuit simulé. Notre but est\n",
        "d’expliquer le concept de recherche locale et d’examiner les méthodes\n",
        "permettant d’éviter les minima (ou maxima) locaux. Nous aborderons\n",
        "rapidement la montée de colline, compte tenu de sa simplicité, et nous\n",
        "consacrerons plus de temps au recuit simulé, un algorithme très utile.\n",
        "\n",
        "# Introduction\n",
        "\n",
        "## Contexte\n",
        "\n",
        "- L’accent a été mis sur la recherche de **chemins** dans un **espace\n",
        "  d’états**.\n",
        "- Certains problèmes privilégient l’**état final** par rapport au\n",
        "  chemin.\n",
        "  - Conception de circuits intégrés\n",
        "  - Ordonnancement d’atelier\n",
        "  - Programmation automatique\n",
        "\n",
        "L’importance du chemin par rapport à l’état final dépend de la nature du\n",
        "problème. Par exemple, dans un problème d’itinéraire, le chemin est la\n",
        "pièce d’information cruciale recherchée.\n",
        "\n",
        "## Problème des 8-Reines"
      ],
      "id": "d8d6f42d-ff29-4180-99b6-6121c71f9429"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.colors import ListedColormap\n",
        "import numpy as np\n",
        "\n",
        "def display_n_queens(board, width):\n",
        "    n = len(board)\n",
        "\n",
        "    # Créer un motif d'échiquier\n",
        "    board_matrix = np.zeros((n, n))\n",
        "    for row in range(n):\n",
        "        for col in range(n):\n",
        "            if (row + col) % 2 == 0:\n",
        "                board_matrix[row, col] = 1  # Cases blanches\n",
        "            else:\n",
        "                board_matrix[row, col] = 0.5\n",
        "\n",
        "    # Créer un colormap personnalisé : gris pour 0.5 et blanc pour 1\n",
        "    cmap = ListedColormap(['lightgray', 'white'])\n",
        "\n",
        "    # Créer le graphique\n",
        "    fig, ax = plt.subplots(figsize=(width, width))\n",
        "    ax.imshow(board_matrix, cmap=cmap, extent=(0, n, 0, n))\n",
        "\n",
        "    # Ajouter les marqueurs de reine\n",
        "    for col in range(n):\n",
        "        row = board[col]\n",
        "        ax.text(col + 0.5, n - row - 0.5, '♛', fontsize=32, ha='center', va='center', color='black')\n",
        "\n",
        "    # Ajouter des lignes de grille\n",
        "    ax.set_xticks(np.arange(n+1), minor=True)\n",
        "    ax.set_yticks(np.arange(n+1), minor=True)\n",
        "    ax.grid(which='minor', color='black', linestyle='-', linewidth=2)\n",
        "\n",
        "    # Supprimer les étiquettes d'axes et les ticks\n",
        "    ax.set_xticks([])\n",
        "    ax.set_yticks([])\n",
        "    ax.tick_params(axis='both', which='both', length=0)\n",
        "\n",
        "    plt.title(f\"Problème des {n} Reines\")\n",
        "    plt.show()\n",
        "\n",
        "DRAFT = False"
      ],
      "id": "f7861397"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Problème des 8-Reines"
      ],
      "id": "e157054e-c776-4bd2-afe4-2a9e8891953c"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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H0agMANnss88+kzZt2si1114r33//fbbtB9NfA0AUnDx5UubOnWvWvrjyyiud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\n"
          }
        }
      ],
      "source": [
        "# Exemple de plateau pour le problème des 8-Reines\n",
        "# Représente une solution valide\n",
        "board = [0, 4, 7, 5, 2, 6, 1, 3]  \n",
        "\n",
        "display_n_queens(board, 5)"
      ],
      "id": "6f93f8bd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Le **[problème des\n",
        "8-Reines](https://fr.wikipedia.org/wiki/Problème_des_huit_dames)**\n",
        "(8-Dames ou *8-Queens*) consiste à placer huit Reines sur un échiquier\n",
        "de $8 \\times 8$ de sorte qu’**aucune reine ne se menace**, c’est-à-dire\n",
        "qu’aucune reine ne partage la même ligne, colonne ou diagonale.\n",
        "\n",
        "Pour un échiquier de $8 \\times 8$, il existe exactement 92 solutions\n",
        "distinctes. En éliminant les solutions symmétrique, on se retrouve avec\n",
        "12 solutions fondamentales. Dans le cas plus général d’un échiquier\n",
        "$n \\times n$, le nombre exact de solutions a été déterminé pour toutes\n",
        "les valeurs de $n$ allant jusqu’à 27 inclus.\n",
        "\n",
        "## Définition\n",
        "\n",
        "> **Note**\n",
        ">\n",
        "> (Russell et Norvig 2020, 110)\n",
        ">\n",
        "> Les algorithmes de recherche locale opèrent en cherchant d’un état\n",
        "> initial à des états voisins, sans tenir compte des chemins ni de\n",
        "> l’ensemble des états atteints.\n",
        "\n",
        "**Optimise** l’utilisation de la **mémoire** tout en résolvant\n",
        "efficacement des problèmes dans des **espaces d’états immenses ou\n",
        "infinis**.\n",
        "\n",
        "Cet algorithme manque d’une approche systématique et ne garantit pas la\n",
        "découverte d’une solution optimale.\n",
        "\n",
        "## Définition du problème\n",
        "\n",
        "Trouver l’état “meilleur” selon une **fonction objectif**, en localisant\n",
        "ainsi le **“maximum global”**.\n",
        "\n",
        "Ce **problème d’optimisation** est couramment appelé **montée de\n",
        "colline** (*hill climbing*).\n",
        "\n",
        "Les guillemets autour du terme “maximum global” signalent que, dans le\n",
        "cadre de la présentation d’aujourd’hui, les algorithmes examinés ne\n",
        "fournissent pas de garanties formelles quant à l’identification du\n",
        "maximum global.\n",
        "\n",
        "# *Hill Climbing*\n",
        "\n",
        "## Montée de colline (*Hill Climbing*)\n",
        "\n",
        "![](attachment:../../assets/images/search_hill-climbing-00-fr.png)\n",
        "\n",
        "**Attribution**: adapté de Russell et Norvig (2020), page 111.\n",
        "\n",
        "## *Hill Climbing*\n",
        "\n",
        "Étant donné en entrée un *problème*\n",
        "\n",
        "- *current* est l’*état initial* du *problème*\n",
        "\n",
        "- **tant que** *non terminé* **faire**\n",
        "\n",
        "  - *neighbour* est l’état successeur de plus grande valeur de *current*\n",
        "  - si valeur(*neighbour*) $\\le$ valeur(*current*) alors **retourner**\n",
        "    *current*\n",
        "  - assigner *neighbour* à *current*\n",
        "\n",
        "La montée de colline ne garde pas la trace des états visités\n",
        "précédemment et n’anticipe pas au-delà de ses voisins immédiats. Elle\n",
        "conserve un état courant et se déplace dans la direction de l’ascension\n",
        "la plus abrupte.\n",
        "\n",
        "En inversant le signe de la fonction objectif, l’algorithme peut être\n",
        "adapté pour rechercher un minimum local.\n",
        "\n",
        "## 8-Reines\n",
        "\n",
        "Comment représenteriez-vous l’**état courant**?\n",
        "\n",
        ". . .\n",
        "\n",
        "Pourquoi l’utilisation d’une grille pour représenter l’**état courant**\n",
        "est-elle sous-optimale?\n",
        "\n",
        ". . .\n",
        "\n",
        "Une représentation en grille permet le **placement illégal de reines**\n",
        "dans la même colonne.\n",
        "\n",
        ". . .\n",
        "\n",
        "À la place, nous pouvons représenter l’état comme une liste\n",
        "($\\mathrm{état}$), où chaque élément correspond à la position de la\n",
        "ligne de la reine dans sa colonne respective.\n",
        "\n",
        "En d’autres termes, $\\mathrm{état}[i]$ est la ligne de la reine dans la\n",
        "colonne $i$.\n",
        "\n",
        "## Représentation de l’état"
      ],
      "attachments": {
        "../../assets/images/search_hill-climbing-00-fr.png": {
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T5syZE7ZBLUujlDrXUDV78sknh80Os69VVvv666+P54dqswceeGDMmDHDhw+/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\nTz755LTTTotUwYa0sFls7ole51yTiiP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AgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA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\nqmvXru13VIrEp8hjkyJ3k20igAACCCCAAAIIIIAAAggggAACCCCAAAI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X/2s5/FOaIECBAgQIAAAQIECBAgQIAAAQIE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awxwvlc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\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99JMelFxWb1GuJ9xeWeeKD0+JEiXC3QfWTwIkYEUAf0mSJEli5YX9wIEDgpcuEiABEiAB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\nwoSWGpNxEEA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CCCCAAAIIIIAAAggggIDLC/j4+MyaNWv48OEeHh4mNxsWFla7du1OnTo9\nefLE5CXEEEAAAQQQQAAB2wjQ52obZ2ZBAAEEEEAAAQQQQAABBGwnIJ9H65NxMIPuQxUBBBxZYOvW\nrY8ePVJWKE2uiRIlUgKUEEAAAQQQQAABBBBAAAEEEHATgd69ey9YsEDuCDW/30mTJsnBrocPHzZ/\nCUkEEEAAAQQQQMDaAvS5WluY8RGwmEBMTIzFxmIgBBBAAAEEEEAAAZcWyJcvn7+/v7LFCxcu/PHH\nH0qAEgIIIOCwAmvXrtXXVrVqVT1AFQEEEEAAAQQQQAABBBBAAAH3EWjcuLE8FyVTpkzmt3z8+PES\nJUqMGTOGn1CbRyOJAAIIIIAAAlYVoM/VqrwMjgACCCCAAAIIIIAAAgjYR6BWrVr6xCtXrtQDVBFA\nAAHHFDDsc61evbpjrpxVIYAAAggggAACCCCAAAIIIGAXgZIlSx46dCggIMD87BERET169KhcufLV\nq1fNX0USAQQQQAABBBCwkgB9rlaCZVgEEEAAAQQQQAABBBBAwJ4CtWvX1qdfsWKFHqCKAAIIOKDA\nyZMnz58/rywsa9asefPmVQKUEEAAAQQQQAABBBBAAAEEEHBDgXTp0m3YsEFaV2O1982bNxcoUODX\nX3+N1VWEEUAAAQQQQAABiwvQ52pxUgZEwG4CHh4edpubiRFAAAEEEEAAAQQcTECOZ0iaNKmyqIMH\nD167dk0JUEIAAQQcUMDwMNeaNWs64LJZEgIIIIAAAggggAACCCCAAAJ2F/Dy8ho1atSSJUv0jw1f\nWefdu3cbNWrUrFmzW7duvVLitwgggAACCCCAgM0E6HO1GTUTIYAAAggggAACCCCAAAK2E0iQIIH+\n5O6YmJhVq1bZbkHMhAACCFhCYM2aNfow9LnqPlQRQAABBBBAAAEEEEAAAQTcXKB+/fr79+/PkydP\nrBz++9//5sqVa86cObG6ijACCCCAAAIIIGApAfpcLSXJOAgggAACCCCAAAIIIICAYwnUrVtXX9DK\nlSv1AFUEEEDAoQTu37+/a9cuZUmJEyeW06yVACUEEEAAAQQQQAABBBBAAAEEEMiZM+e+ffvklNZY\nUfzzzz+tW7euWLHimTNnYnUhYQQQQAABBBBAIP4C9LnG35AREEAAAQQQQAABBBBAAAFHFKhRo4a3\nt7eysi1btjx48EAJUEIAAQQcSiAkJCQyMlJZkvywzdfXVwlQQgABBBBAAAEEEEAAAQQQQAABEfDz\n81u0aNH48eMTJkwYKxD5RLFAgQLDhw/Xv0OP1ZiEEUAAAQQQQAABQwH6XA2JCCCAAAIIIIAAAggg\ngAACTimQMmXK8uXLK0uPiIhYt26dEqCEAAIIOJTA2rVr9fXUqlVLD1BFAAEEEEAAAQQQQAABBBBA\nAIEXAl26dAkNDc2XL9+LV8x88eTJkz59+hQuXHjv3r1m8mQQQAABBBBAAIH4C9DnGn9DRkDARgIx\nMTE2molpEEAAAQQQQAABBFxFoG7duvpWVq5cqQeoIoAAAg4iIN8UG7bmyznWDrJaloEAAggggAAC\nCCCAAAIIIICAUwjI4awHDhzo2rWrh4dHrBb8xx9/lClT5quvvvrrr79idSFhBBBAAAEEEEAgDgL0\nucYBjUsQQAABBBBAAAEEEEAAAecQMOxzDQ4OjoqKco7NsEoEEHBvATlg5ubNm4qB/GQuc+bMSoAS\nAggggAACCCCAAAIIIIAAAgi8LpAwYcJx48aFhIRkzJjx9arySnR09MyZM7Nnzz5s2LDw8HAlSQkB\nBBBAAAEEEIinAH2u8QTkcgQQQAABBBBAAAEEEEDAcQX8/f0//PBDZX1hYWHbtm1TApQQQAABBxFY\nu3atvpKaNWvqAaoIIIAAAggggAACCCCAAAIIIPA2gSpVqhw7dqx+/fpvC7zt9YcPH/bt2zdnzpzz\n58/nCaVvU+J1BBBAAAEEEIinAH2u8QTkcgQcSCC2z5JwoKWzFAQQQAABBBBAAAGrCRge6bpy5Uqr\nTc7ACCCAgMUEDPtca9WqZbHJGAgBBBBAAAEEEEAAAQQQQAAB9xNIlSrVkiVLZs+enTRp0tju/sqV\nK82bNy9evPiOHTtiey15BBBAAAEEEEDAUIA+V0MiAggggAACCCCAAAIIIICAEwvUqVNHXz19rroP\nVQQQcASBGzdu/P7778pKUqdOXbJkSSVACQEEEEAAAQQQQAABBBBAAAEEzAi0bt36yJEjVatWNRN+\nJXPgwIHy5cvLobCnTp16pcRvEUAAAQQQQACB+AjQ5xofPa5FAAEEEEAAAQQQQAABBBxdoHDhwpkz\nZ1ZWefny5YMHDyoBSggggIDdBYKDg/VHH1avXt3Tk4+57P5GsQAEEEAAAQQQQAABBBBAAAFXEHjv\nvfdCQkLmz5+fNm3aOOxn2bJlefLkadas2fHjx+NwOZcggAACCCCAAAKvC/ADgNdNeAUBBBBAAAEE\n/j/27jze6zHvH/h8O5VWKWXJEKmR7daYYeJmQu5JqZD2kpQlmZrInuzRNFlDhbZp0YJUYjAZmSyZ\nGSoiibEUI1GRqFPn/D4/7tsjpevz/Z7O8l2e/WHO+bxf1/W5rucVj6neXV8CBAgQIJBVAqeddlp4\nP9FvPYcDqgQIEChbgTlz5oQXcOqpp4YDqgQIECBAgAABAgQIECBAgEBKAlGj6tKlS6PrXVMa9X24\noKBg8uTJhx9+eIcOHV5//fUizGAIAQIECBAgQGBrAX2uW2v4mgABAgQIECBAgAABAlkooM81Cw/V\nlgjkksCmTZueeeaZwI7z8vKi+1wDASUCBAgQIECAAAECBAgQIECgCAK1atUaM2bM3/72t1/84hdF\nGB51u06fPv2II45o27bta6+9VoQZDCFAgAABAgQIfC+gz9XPBAIZIxD+iMaM2YaFEiBAgAABAgQI\nlLrACSecULNmzcBro4sZ3nrrrUBAiQABAmUoMG/evPXr1wcWcOyxx4b/KxcYq0SAAAECBAgQIECA\nAAECBAiEBaLfXVy8ePGgQYMqVqwYTv5kNfpj7hkzZhx55JFt2rR5+eWXfzLjIQECBAgQIEAgLKDP\nNeyjSoAAAQIECBAgQIAAgYwXKF++fOvWrcPbePTRR8MBVQIECJSVwJw5c8KvPvXUU8MBVQIECBAg\nQIAAAQIECBAgQGBnBHbZZZcbb7wxupP15JNPLvI8s2fPPuaYY44++ugJEyZs3LixyPMYSIAAAQIE\nCOSggD7XHDx0WyZAgAABAgQIECBAIOcEoo8GC+9Zn2vYR5UAgTIUePzxx8Nv1+ca9lElQIAAAQIE\nCBAgQIAAAQLFInDIIYc888wz0a/TDz744CJP+I9//KN79+777bffNddcs3LlyiLPYyABAgQIECCQ\nUwL6XHPquG02ywUSiUSW79D2CBAgQIAAAQIEiirwu9/9rmrVqoHRr7766gcffBAIKBEgQKBMBJYs\nWfLuu+8GXl2vXr3DDjssEFAiQIAAAQIECBAgQIAAAQIEilEg+uumixcvvu++++rUqVPkaVetWjV4\n8OD999+/Q4cOzz//fJHnMZAAAQIECBDIEQF9rjly0LZJgAABAgQIECBAgEBOC1SuXLlFixZhghkz\nZoQDqgQIECh9gdj/NLnMtfQPxRsJECBAgAABAgQIECBAIMcFypcvf+GFFy5fvvyKK66oVKlSkTU2\nb948ffr0pk2bHnHEEbfffvsnn3xS5KkMJECAAAECBLJbQJ9rdp+v3REgQIAAAQIECBAgQOB/Bdq2\nbRu2ePTRR8MBVQIECJS+wGOPPRZ+aatWrcIBVQIECBAgQIAAAQIECBAgQKAkBHbdddchQ4YsXbq0\nc+fOO/nRo9EFsQMGDNh3332bN28+YcKE9evXl8SCzUmAAAECBAhkroA+18w9OysnQIAAAQIECBAg\nQIBACgLRlYcVK1YMDHjhhRc+/fTTQECJAAECpSzw0Ucf/etf/wq8tFq1aieddFIgoESAAAECBAgQ\nIECAAAECBAiUqEC9evUmT578yiuvtG7deidftGXLlqeffrp79+577rln165dn3zyyejC152c03AC\nBAgQIEAgOwT0uWbHOdoFAQIECBAgQIAAAQIEYgSi+xWaNWsWCBUUFMycOTMQUCJAgEApC8Re5tqi\nRYtddtmllFfldQQIECBAgAABAgQIECBAgMA2Ar/+9a9nzZr12muvRR8qtZN3u0Yzb9iwIeqdbdmy\n5T777NOnT5+o4fXbb7/d5o2+JUCAAAECBHJKQJ9rTh23zWa2QGFhYWZvwOoJECBAgAABAgTKWiD6\nXebwEh599NFwQJUAAQKlKRDb53rGGWeU5nq8iwABAgQIECBAgAABAgQIEAgING7c+JFHHlm8eHHH\njh3LlSuGdpRVq1aNGDEianjdfffdTzvttAceeODjjz8OLECJAAECBAgQyFaBYvg/FtlKY18ECBAg\nQIAAAQIECBDIMoHo94Lz8vICm3r22WfXrFkTCCgRIECg1ASi/xw9//zzgddVqFAh+oOuQECJAAEC\nBAgQIECAAAECBAgQKH2Bww47bMqUKUuWLOnWrVv4dyOTX1t0w2t0X+z555//85///Fe/+tV11133\nj3/8I/p8quRnkCRAgAABAgQyWkCfa0Yfn8UTIECAAAECBAgQIEAgBYE6deocd9xxgQH5+fmxtycG\nhisRIECgGAUef/zxzZs3ByY88cQTa9SoEQgoESBAgAABAgQIECBAgAABAmUl0KhRowkTJixdurR3\n795Vq1YtrmVEH4L66quv3njjjUcffXStWrVOPfXUW2+9df78+Rs3biyuV5iHAAECBAgQSEMBfa5p\neCiWRKCIAolEoogjDSNAgAABAgQIEMgZgbZt24b3+vDDD4cDqgQIECgdgdi2+9NPP710VuItBAgQ\nIECAAAECBAgQIECAQNEEGjRoMGLEiJUrV95+++3R10WbZEej1q1b98QTT1x99dXHH3989Fdho39e\nddVV0ZO1a9fuaIjnBAgQIECAQIYKJKK/7JKhS7dsArkm8Nxzz0V31QR2PX369Hbt2gUCSgQIECBA\ngAABAgQ++uijevXqBX4lGH0O+KpVq3bbbTdWBAgQKEOBb775pnbt2tGHEu5oDdFf9VyxYkXdunV3\nFAg/j/7oK7rrJcpEt1z//e9/D4dVCRAgQIAAAQIECBAgQIAAgZ0XiH5P8i9/+cvw4cOjfwZ+f3Ln\nXxT9psGBBx54+OGH/9d//df3/4y+LVfONXA7T2sGAgQIECBQZgLly+zNXkyAAAECBAgQIECAAAEC\npS6w7777NmnS5KWXXtrRm/Pz82fOnHn22WfvKOA5AQIESkHgmWeeCTS5RguIPp2wyE2upbB+ryBA\ngAABAgQIECBAgAABAgS2EYjaT1t892P58uX33Xff2LFjS+ji1aiJNnpF9GPGjBnfr6FKlSqHHnro\n9z2v0bWy0UUA0Y/q1atvs0LfEiBAgAABAmkroM81bY/GwggQIECAAAECBAgQIFAiAu3btw/0uUav\njD4oQJ9ridCblACBpAUee+yxcPb0008PB1QJECBAgAABAgQIECBAgACB9BSIOk1vv/32m2666ZFH\nHpk4ceLcuXMLCgpKdKnRX6b9x3c/tn5LzZo1v294/eGfv/zlL+vXr791xtcECBAgQIBAmgjoc02T\ng7AMAgQIECBAgAABAgQIlJLAmWeeOWDAgMBHg0XXKK5bt65GjRqltCCvIUCAwI8FtmzZMnv27B8/\n2/Y7fa7bivieAAECBAgQIECAAAECBAhklEDVqlW7f/fjk08+eeihh6KG19dee600d7Dmux8LFy7c\n+qUHH3zwoEGDOnfuvPVDXxMgQIAAAQJlLlCuzFdgAQQIJCkQaERIcgYxAgQIECBAgAABApHAfvvt\nF33ed4Bi06ZNs2bNCgSUCBAgUKIC8+fPX716deAVjb77EQgoESBAgAABAgQIECBAgAABApkisPfe\ne19yySWvvvrqkiVLrrrqquh21TJc+VtvvdWlS5frr7++DNfg1QQIECBAgMD2AvpctzfxhAABAgQI\nECBAgAABAlku0L59+/AOp0+fHg6oEiBAoOQEHnvssfDkLnMN+6gSIECAAAECBAgQIECAAIFMFDjk\nkENuueWWf//7388//3y/fv3q169fVru48cYbS/ly2bLaqfcSIECAAIFMEdDnmiknZZ0ECBAgQIAA\nAQIECBAoNoF27dqF53r66ae//PLLcEaVAAECJSSgz7WEYE1LgAABAgQIECBAgAABAgTSXyCRSBx/\n/PF33XXXu+++++abbw4dOvS3v/1t+fLlS3Pl0Uet/vGPfyzNN3oXAQIECBAgEBbQ5xr2USWQSQLR\n/+PPpOVaKwECBAgQIECAQNkJRB/+dfTRRwfev3HjxlmzZgUCSgQIECghgUWLFr3//vuByevWrRv+\nL1hgrBIBAgQIECBAgAABAgQIECCQQQIHH3zwZZddNm/evFWrVk2ePLlr1661atUqnfUvW7asdF7k\nLQQIECBAgEAyAvpck1GSIUCAAAECBAgQIECAQLYJxF7pOn369Gzbs/0QIJAJAjNmzAgv87TTTvP3\nPMNEqgQIECBAgAABAgQIECBAIMsEatas2blz54kTJ0YNry+99FJ0yWubNm123333ktumT7sqOVsz\nEyBAgACBIgjocy0CmiEECBAgQIAAAQIECBDIeIH27duH9/DUU0+tW7cunFElQIBAsQs89thj4TlP\nP/30cECVAAECBAgQIECAAAECBAgQyFaBvLy8Jk2aRJe8zpw587PPPluyZMmoUaO6deu2//77F++W\nmzZtWrwTmo0AAQIECBDYGYHyOzPYWAIECBAgQIAAAQIECBDIUIHod35//etf//Of/9zR+jdu3Bjd\nqtijR48dBTwnQIBAsQssX7580aJFgWlr1Khx4oknBgJKBAgQIECAAAECBAgQIECAQI4IRJ/3csh3\nP84///xoyytXrpw/f/5rr722ePHi119/fcWKFUV2iGbu2rVrkYcbSIAAAQIECBS7gD7XYic1IQEC\nBAgQIECAAAECBDJDILrSNdDnGu1hypQp+lwz4yytkkC2CEybNi28lZYtW1aoUCGcUSVAgAABAgQI\nECBAgAABAgRyUGCfffbp+N2P7/e+Zs2aqNs1+vF92+sbb7zx1VdfJclyzTXXnHTSSUmGxQgQIECA\nAIFSENDnWgrIXkGgeAQKCwuLZyKzECBAgAABAgQIEPhOIOpzveKKKwIYc+fOXb16de3atQMZJQIE\nCBSjQGyf6xlnnFGMrzMVAQIECBAgQIAAAQIECBAgkK0CNWvW/O13P77fYPSn7R999NH777//wY9/\nfPjhh99+++0PCD//+c9vvPFGf/n/BxBfECBAgACBNBHQ55omB2EZBAgQIECAAAECBAgQKG2BAw44\n4De/+c2CBQt29OLNmzc//PDDvXv33lHAcwIECBSjwLJlyxYtWhSYsFKlSi1atAgElAgQIECAAAEC\nBAgQIECAAAECPymQSCT2++7H9tVPP/006n3dsGFDdCNsvXr1KlasuH3GEwIECBAgQKBsBcqV7eu9\nnQABAgQIECBAgAABAgTKUKBTp07ht0+ZMiUcUCVAgEBxCcRe5ho1uVarVq24XmceAgQIECBAgAAB\nAgQIECBAgEAksOeeex599NEnnHBCw4YNNbn6KUGAAAECBNJTQJ9rep6LVREoikD0V9CKMswYAgQI\nECBAgACBHBbo0KFDuXKhXxj+/e9///jjj3NYyNYJECg9genTp4dfFv0nKxxQJUCAAAECBAgQIECA\nAAECBAgQIECAAAECBLJPIPTHmdm3WzsiQIAAAQIECBAgQIAAga0F6tate/zxx2/9ZJuvCwoKpk6d\nus1D3xIgQKDYBd5+++3FixcHpq1cuXKrVq0CASUCBAgQIECAAAECBAgQIECAAAECBAgQIEAgKwX0\nuWblsdoUAQIECBAgQIAAAQIEkhXo1KlTODplypRwQJUAAQI7LzBt2rTwJC1btqxWrVo4o0qAAAEC\nBAgQIECAAAECBAgQIECAAAECBAhkn4A+1+w7UzsiQIAAAQIECBAgQIBACgLt2rUrX758YMArr7zy\n3nvvBQJKBAgQ2HmB2D7XDh067PxbzECAAAECBAgQIECAAAECBAgQIECAAAECBAhknIA+14w7Mgsm\nQIAAAQIECBAgQIBAcQrUrl27WbNm4RmnTp0aDqgSIEBgZwSWLl36xhtvBGaoUqXKqaeeGggoESBA\ngAABAgQIECBAgAABAgQIECBAgAABAtkqoM81W0/WvrJQoLCwMAt3ZUsECBAgQIAAAQJpINC5c+fw\nKqZMmRIOqBIgQGBnBGKb6aMm16pVq+7MK4wlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEMlRAn2uG\nHpxlEyBAgAABAgQIECBAoNgETj/99F122SUw3eLFi998881AQIkAAQI7IzB9+vTw8A4dOoQDqgQI\nECBAgAABAgQIECBAgAABAgQIECBAgEC2CuhzzdaTtS8CBAgQIECAAAECBAgkK1CjRo0WLVqE0650\nDfuoEiBQZIGojX7JkiWB4dFNri1btgwElAgQIECAAAECBAgQIECAAAECBAgQIECAAIEsFtDnmsWH\na2s5J5BIJHJuzzZMgAABAgQIECBQTAKdOnUKzzRp0qRwQJUAAQJFE5g2bVp44KmnnlqlSpVwRpUA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBDIVgF9rtl6svZFgAABAgQIECBAgACBFARat24d3ZgYGPDe\ne++9+OKLgYASAQIEiiYQ2+faoUOHos1sFAECBAgQIECAAAECBAgQIECAAAECBAgQIJAFAvpcs+AQ\nbYEAAQIECBAgQIAAAQI7KxDdlRi1uoZnmThxYjigSoAAgVQF3njjjbfeeiswqlq1ai1btgwElAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAIHsFtDnmt3na3cECBAgQIAAAQIECBBIVqBbt27haHTnYn5+\nfjijSoAAgZQEpk+fHs63atWqcuXK4YwqAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkMUC+lyz+HBt\njQABAgQIECBAgAABAikING/evHbt2oEBn3/++ZNPPhkIKBEgQCBVgaiBPjykQ4cO4YAqAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgkN0C+lyz+3ztLqsECgsLs2o/NkOAAAECBAgQIJBmAuXLl+/YsWN4\nURMnTgwHVAkQIJC8wKJFi5YuXRrIV6tWrUWLFoGAEgECBAgQIECAAAECBAgQIECAAAECBAgQIJD1\nAvpcs/6IbZAAAQIECBAgQIAAAQLJCnTr1i0cnT179rp168IZVQIECCQpMGnSpHCyTZs2lSpVCmdU\nCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAgewW0Oea3edrdwQIECBAgAABAgQIEEhBoEmTJgceeGBg\nwLfffvvII48EAkoECBBIUqCgoGDy5MnhcPv27cMBVQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCDr\nBfS5Zv0R22AOCSQSiRzara0SIECAAAECBAiUjEDsla4TJ04smTeblQCB3BL429/+tnLlysCeq1ev\nfsoppwQCSgQIECBAgAABAgQIECBAgAABAgQIECBAgEAuCOhzzYVTtkcCBAgQIECAAAECBAgkK9C1\na9dwdN68eStWrAhnVAkQIBArENs037Zt20qVKsXOI0CAAAECBAgQIECAAAECBAgQIECAAAECBAhk\nt4A+1+w+X7sjQIAAAQIECBAgQIBAagINGzb8zW9+ExiTzEeNB4YrESBAIBL45ptvHn300TBF7PXS\n4eGqBAgQIECAAAECBAgQIECAtkxpyQAAQABJREFUAAECBAgQIECAQHYI6HPNjnO0CwIECBAgQIAA\nAQIECBSbQGxvWewtjMW2FBMRIJClArNmzfryyy8Dm6tbt+5JJ50UCCgRIECAAAECBAgQIECAAAEC\nBAgQIECAAAECOSKgzzVHDto2CRAgQIAAAQIECBAgkKxAx44dy5cvH0i//vrrixYtCgSUCBAgEBaI\nbZfv3LlzuXJ+2yqsqEqAAAECBAgQIECAAAECBAgQIECAAAECBHJCwB8Y5MQx22R2CBQWFmbHRuyC\nAAECBAgQIEAgzQXq1Knzu9/9LrzI8ePHhwOqBAgQ2JHA6tWrn3rqqR1Vv38ee7F0eLgqAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgkDUC+lyz5ihthAABAgQIECBAgAABAsUmENthNmnSpM2bNxfb+0xE\ngEAuCUydOjU/Pz+w40MPPbRx48aBgBIBAgQIECBAgAABAgQIECBAgAABAgQIECCQOwL6XHPnrO2U\nAAECBAgQIECAAAECyQqcdtpp1atXD6RXrVr1xBNPBAJKBAgQ2JHAxIkTd1T6/vlZZ50VDqgSIECA\nAAECBAgQIECAAAECBAgQIECAAAECuSOgzzV3ztpOs18gkUhk/ybtkAABAgQIECBAoFQEqlSp0r59\n+/Crxo0bFw6oEiBAYHuBd9999+WXX97++Q9Pol/bdunS5YdvfUGAAAECBAgQIECAAAECBAgQIECA\nAAECBAjkuIA+1xz/CWD7BAgQIECAAAECBAgQ+GmBHj16/HTh/54+/vjjq1ev/r/v/C8BAgSSEoi9\nzLVp06b77rtvUnMJESBAgAABAgQIECBAgAABAgQIECBAgAABAjkgoM81Bw7ZFgkQIECAAAECBAgQ\nIJC6wHHHHVe/fv3AuPz8/EmTJgUCSgQIENheILbPtVu3btuP8oQAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBDIWQF9rjl79DZOgAABAgQIECBAgACBkED00eFnn312KPGzn40bNy4cUCVAgMDWAgsWLFi+\nfPnWT7b5ulKlSu3atdvmoW8JECBAgAABAgQIECBAgAABAgQIECBAgACBXBbQ55rLp2/vBAgQIECA\nAAECBAgQCAlEfa5Rt2sgsXDhwkWLFgUCSgQIENhaIPYy11atWtWoUWPrIb4mQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIEclxAn2uO/wSw/UwSKCwszKTlWisBAgQIECBAgEDmC9SrV++EE04I78OVrmEf\nVQIEfhDYvHnzlClTfvj2J7/o1q3bTz73kAABAgQIECBAgAABAgQIECBAgAABAgQIEMhZAX2uOXv0\nNk6AAAECBAgQIECAAIF4gR49eoRDkyZNys/PD2dUCRAgEAk89dRTq1evDlDUqlWrZcuWgYASAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgkIMC+lxz8NBtmQABAgQIECBAgAABAskKnHnmmdWqVQukP/vs\nszlz5gQCSgQIEPheIPb6544dO1aoUAEXAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQGBrAX2uW2v4\nmkBmCyQSiczegNUTIECAAAECBAikn0DVqlXbt28fXlds71p4uCoBArkgEN3kOmvWrPBOu3XrFg6o\nEiBAgAABAgQIECBAgAABAgQIECBAgAABAjkooM81Bw/dlgkQIECAAAECBAgQIJCCQI8ePcLpJ554\nYtWqVeGMKgECOS4wYcKETZs2BRDq169/7LHHBgJKBAgQIECAAAECBAgQIECAAAECBAgQIECAQG4K\n6HPNzXO3awIECBAgQIAAAQIECCQrcPzxx0f9Z4F0fn6+K10DPkoECEQCo0ePDjt07do1HFAlQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIEclNAn2tunrtdEyBAgAABAgQIECBAIFmBRCLRvXv3cDq2gy08\nXJUAgewWWLBgwZIlSwJ7jP47c/bZZwcCSgQIECBAgAABAgQIECBAgAABAgQIECBAgEDOCuhzzdmj\nt3ECBAgQIECAAAECBAgkK9CjR49y5UK/fly2bNm8efOSnU6OAIEcE4hthW/atOmBBx6YYyq2S4AA\nAQIECBAgQIAAAQIECBAgQIAAAQIECCQlEPpzyqQmECJAoLQECgsLS+tV3kOAAAECBAgQIEDgRwL1\n6tU7+eSTf/Rou28efPDB7Z55QIAAgZ99/fXXU6ZMCUOce+654YAqAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgkLMC+lxz9uhtnAABAgQIECBAgAABAikInHfeeeH0ww8/vGbNmnBGlQCBHBSYPn36V199\nFdj4brvt1rZt20BAiQABAgQIECBAgAABAgQIECBAgAABAgQIEMhlAX2uuXz69k6AAAECBAgQIECA\nAIFkBdq0aVOnTp1A+ttvv504cWIgoESAQG4KjB49OrzxLl26VK5cOZxRJUCAAAECBAgQIECAAAEC\nBAgQIECAAAECBHJWQJ9rzh69jWehQCKRyMJd2RIBAgQIECBAgEB6CFSsWLF79+7htTz44IPhgCoB\nArkm8Pbbb8+fPz+86169eoUDqgQIECBAgAABAgQIECBAgAABAgQIECBAgEAuC+hzzeXTt3cCBAgQ\nIECAAAECBAikIBDbi7Z48eJXXnklhRlFCRDIdoExY8aEt9i4ceMjjzwynFElQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIEcllAn2sun769EyBAgAABAgQIECBAIAWBgw8++L//+7/DA1zpGvZRJZBTAps3\nbx4/fnx4y7EN9OHhqgQIECBAgAABAgQIECBAgAABAgQIECBAgEDWC+hzzfojtkECBAgQIECAAAEC\nBAgUm8C5554bnuuhhx5av359OKNKgECOCMyZM+fTTz8NbLZSpUpdu3YNBJQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAvpc/RwgQIAAAQIECBAgQIAAgWQFOnTosOuuuwbSUZPr1KlTAwElAgRyRyD2\nguczzjijZs2auQNipwQIECBAgAABAgQIECBAgAABAgQIECBAgEARBPS5FgHNEAJlI1BYWFg2L/ZW\nAgQIECBAgAABAv8nUKVKlc6dO//fdz/9vw888MBPFzwlQCCXBD755JMnn3wyvOPYK6LDw1UJECBA\ngAABAgQIECBAgAABAgQIECBAgACBXBDQ55oLp2yPBAgQIECAAAECBAgQKDaB8847LzzXggULXnvt\ntXBGlQCBrBcYN27cli1bAts84IADTjzxxEBAiQABAgQIECBAgAABAgQIECBAgAABAgQIECAQCehz\n9dOAAAECBAgQIECAAAECBFIQ+NWvftW4cePwgBEjRoQDqgQIZL3AmDFjwnvs2bNnIpEIZ1QJECBA\ngAABAgQIECBAgAABAgQIECBAgAABAvpc/RwgkD0C/oAwe87STggQIECAAAEC6S1w/vnnhxc4efLk\ndevWhTOqBAhkscDcuXOXL18e2GC5cuV69OgRCCgRIECAAAECBAgQIECAAAECBAgQIECAAAECBL4X\n0OfqZwIBAgQIECBAgAABAgQIpCbQrVu3atWqBcZ8/fXXf/7znwMBJQIEslvg3nvvDW+wefPmP//5\nz8MZVQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAJKDP1U8DAgQIECBAgAABAgQIEEhNoHr16l27\ndg2PGTlyZDigSoBAtgqsWLFi1qxZ4d316tUrHFAlQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECHwv\noM/VzwQCBAgQIECAAAECBAgQSFmgd+/e4TFvvvnmvHnzwhlVAgSyUmDUqFFbtmwJbK1OnTpt2rQJ\nBJQIECBAgAABAgQIECBAgAABAgQIECBAgAABAj8I6HP9gcIXBAgQIECAAAECBAgQIJCsQOPGjZs0\naRJO33fffeGAKgEC2SewadOmBx54ILyvnj17VqhQIZxRJUCAAAECBAgQIECAAAECBAgQIECAAAEC\nBAh8L6DP1c8EAhkjUFhYmDFrtVACBAgQIECAAIEcELjwwgvDu5wxY8ann34azqgSIJBlAo888kj4\nX/xy5crFXgidZSa2Q4AAAQIECBAgQIAAAQIECBAgQIAAAQIECOyMgD7XndEzlgABAgQIECBAgAAB\nArkr0KFDh1q1agX2n5+f/+CDDwYCSgQIZJ/AvffeG95Uy5Yt999//3BGlQABAgQIECBAgAABAgQI\nECBAgAABAgQIECDwg4A+1x8ofEGAAAECBAgQIECAAAECKQhUqlTpnHPOCQ+4//77t2zZEs6oEiCQ\nNQKLFi164YUXwtu56KKLwgFVAgQIECBAgAABAgQIECBAgAABAgQIECBAgMDWAvpct9bwNYHMFkgk\nEpm9AasnQIAAAQIECBDINIELLrgg/P9CP/zwwzlz5mTatqyXAIEiCsRe5tqgQYPmzZsXcXbDCBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAgZwU0Oeak8du0wQIECBAgAABAgQIECgOgYYNGzZr1iw80333\n3RcOqBIgkB0Ca9eunTRpUngvF154Ybg5PjxclQABAgQIECBAgAABAgQIECBAgAABAgQIEMhBAX2u\nOXjotkyAAAECBAgQIECAAIFiE4i61sJzPf3002+//XY4o0qAQBYIjBs3bsOGDYGNVK5c+ZxzzgkE\nlAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC2wvoc93exBMCBAgQIECAAAECBAgQSFagTZs2devW\nDaQLCwuHDx8eCCgRIJAFAtG/6SNGjAhvpEuXLjVr1gxnVAkQIECAAAECBAgQIECAAAECBAgQIECA\nAAEC2wjoc90GxLcECBAgQIAAAQIECBAgkIJA+fLlL7jggvCA8ePHr1u3LpxRJUAgowX++te/Llu2\nLLyFPn36hAOqBAgQIECAAAECBAgQIECAAAECBAgQIECAAIHtBfS5bm/iCYE0FYhux0nTlVkWAQIE\nCBAgQIBAbgtEfa4VK1YMGKxfv37MmDGBgBIBApkucO+994a3cMwxxxx55JHhjCoBAgQIECBAgAAB\nAgQIECBAgAABAgQIECBAYHsBfa7bm3hCgAABAgQIECBAgAABAikI7Lnnnh06dAgPuOeeewoKCsIZ\nVQIEMlTgww8/fPzxx8OLd5lr2EeVAAECBAgQIECAAAECBAgQIECAAAECBAgQ2JGAPtcdyXhOgAAB\nAgQIECBAgAABAskK9OvXLxx97733YtvgwjOoEiCQtgIjR47csmVLYHl16tRp3759IKBEgAABAgQI\nECBAgAABAgQIECBAgAABAgQIENiRgD7XHcl4TiDzBBKJROYt2ooJECBAgAABAgSyQuCoo45q0qRJ\neCt33313OKBKgEAmCnzzzTcPPPBAeOXnnnvuLrvsEs6oEiBAgAABAgQIECBAgAABAgQIECBAgAAB\nAgR+UkCf60+yeEiAAAECBAgQIECAAAECqQn07ds3PGDu3LlLliwJZ1QJEMg4gXHjxq1evTqw7Ly8\nvN69ewcCSgQIECBAgAABAgQIECBAgAABAgQIECBAgACBgIA+1wCOEgECBAgQIECAAAECBAgkKxB9\nKPlee+0VTrvSNeyjSiDjBAoKCu64447wslu1arXffvuFM6oECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAgR0J6HPdkYznBAgQIECAAAECBAgQIJCCQIUKFWKvbJw4ceIXX3yRwqSiBAikt8CsWbPeeeed\n8BovuuiicECVAAECBAgQIECAAAECBAgQIECAAAECBAgQIBAQ0OcawFEiQIAAAQIECBAgQIAAgRQE\noj7XihUrBgZs2LDhwQcfDASUCBDILIHbbrstvOBGjRqdfPLJ4YwqAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgQCAgoM81gKNEIL0ECgsL02tBVkOAAAECBAgQIEDgxwJ77rlnhw4dfvxs2+/uueeezZs3\nb/vU9wQIZKDAggUL5s+fH174JZdckkgkwhlVAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBAQJ9r\nAEeJAAECBAgQIECAAAECBFIT6Nu3b3jARx99NHXq1HBGlQCBjBCIvcx1jz32OOusszJiLxZJgAAB\nAgQIECBAgAABAgQIECBAgAABAgQIpK2APte0PRoLI0CAAAECBAgQIECAQOYJHH300U2aNAmve9iw\nYeGAKgEC6S/w73//+9FHHw2v86KLLqpUqVI4o0qAAAECBAgQIECAAAECBAgQIECAAAECBAgQCAvo\ncw37qBLIJAGfBZlJp2WtBAgQIECAAIHsFRgwYEB4cwsXLpw7d244o0qAQJoL3HnnnVu2bAkssnLl\nyn369AkElAgQIECAAAECBAgQIECAAAECBAgQIECAAAECyQjoc01GSYYAAQIECBAgQIAAAQIEkhU4\n44wzDjjggHDala5hH1UCaS6wZs2a0aNHhxd59tln165dO5xRJUCAAAECBAgQIECAAAECBAgQIECA\nAAECBAjECuhzjSUSIECAAAECBAgQIECAAIEUBPLy8vr37x8e8Je//OWNN94IZ1QJEEhbgVGjRn39\n9deB5ZUrV+6SSy4JBJQIECBAgAABAgQIECBAgAABAgQIECBAgAABAkkK6HNNEkqMAAECBAgQIECA\nAAECBJIV6Nmz52677RZO33bbbeGAKgEC6SmwadOm4cOHh9fWunXrhg0bhjOqBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAIFkBPS5JqMkQ4AAAQIECBAgQIAAAQIpCFSrVu2CCy4ID5g8efInn3wSzqgS\nIJCGAg899NDHH38cXtill14aDqgSIECAAAECBAgQIECAAAECBAgQIECAAAECBJIU0OeaJJQYgbIX\nKCwsLPtFWAEBAgQIECBAgACB5AT69u1boUKFQDa6EvLuu+8OBJQIEEhPgdjLmI8++ujjjjsuPRdv\nVQQIECBAgAABAgQIECBAgAABAgQIECBAgEDGCehzzbgjs2ACBAgQIECAAAECBAhkgMA+++zTqVOn\n8EJHjhy5fv36cEaVAIG0Enj66adff/318JJc5hr2USVAgAABAgQIECBAgAABAgQIECBAgAABAgRS\nEtDnmhKXMAECBAgQIECAAAECBAgkK3DJJZeEo2vXrh09enQ4o0qAQFoJDB06NLyeAw44oG3btuGM\nKgECBAgQIECAAAECBAgQIECAAAECBAgQIEAgeQF9rslbSRJId4FEIpHuS7Q+AgQIECBAgACBXBJo\n3Lhxs2bNwju+4447Nm/eHM6oEiCQJgKvvPLK3Llzw4vp379/Xl5eOKNKgAABAgQIECBAgAABAgQI\nECBAgAABAgQIEEheQJ9r8laSBAgQIECAAAECBAgQIJCawIABA8IDPvjgg0mTJoUzqgQIpInA4MGD\nwyupWbNmr169whlVAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBKAvpcU+ISJkCAAAECBAgQIECA\nAIEUBE455ZTDDjssPGDIkCEFBQXhjCoBAmUusHjx4tmzZ4eXccEFF1StWjWcUSVAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIpCSgzzUlLmECBAgQIECAAAECBAgQSEEgkUhcccUV4QFLly6dMWNGOKNK\ngECZC9xyyy2FhYWBZVSsWLFfv36BgBIBAgQIECBAgAABAgQIECBAgAABAgQIECBAoAgC+lyLgGYI\nAQIECBAgQIAAAQIECCQr0KlTp/333z+cjvrnwgFVAgTKVmDZsmXTp08Pr6F79+577713OKNKgAAB\nAgQIECBAgAABAgQIECBAgAABAgQIEEhVQJ9rqmLyBMpMIHxxTpkty4sJECBAgAABAgQIBAXKly9/\n6aWXBiM/e/XVV5966qlwRpUAgTIUGDJkSEFBQWABeXl5V155ZSCgRIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAomoA+16K5GUWAAAECBAgQIECAAAECyQr07Nlzjz32CKdd6Rr2USVQhgIffvjhxIkT\nwwvo2LHjgQceGM6oEiBAgAABAgQIECBAgAABAgQIECBAgAABAgSKIKDPtQhohhAgQIAAAQIECBAg\nQIBACgKVK1f+wx/+EB7w/PPPv/DCC+GMKgECZSIwdOjQ/Pz8wKsTicTVV18dCCgRIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBIosoM+1yHQGEkg7gehPFtNuTRZEgAABAgQIECBA4DuBiy66aNdddw1j\nuNI17KNKoEwEVq5c+eCDD4Zfffrppx966KHhjCoBAgQIECBAgAABAgQIECBAgAABAgQIECBAoGgC\n+lyL5mYUAQIECBAgQIAAAQIECKQgUKNGjQsvvDA84Iknnli4cGE4o0qAQCkLRA3oGzduDL/UZa5h\nH1UCBAgQIECAAAECBAgQIECAAAECBAgQIEBgZwT0ue6MnrEECBAgQIAAAQIECBAgkKxA//79K1Wq\nFE7feuut4YAqAQKlKfDRRx/FXubavHnzX//616W5Ku8iQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nckpAn2tOHbfNEiBAgAABAgQIECBAoMwE9tprrx49eoRf//DDD7/55pvhjCoBAqUmEF3mumnTpvDr\nBg4cGA6oEiBAgAABAgQIECBAgAABAgQIECBAgAABAgR2RkCf687oGUuAAAECBAgQIECAAAECKQhc\ndtlleXl5gQEFBQU33HBDIKBEgECpCXz44YdjxowJv65p06bHH398OKNKgAABAgQIECBAgAABAgQI\nECBAgAABAgQIENgZAX2uO6NnLIFSFSgsLCzV93kZAQIECBAgQIAAgeIWqF+/fteuXcOzRle6Llmy\nJJxRJUCgFAQGDx4ce5nr9ddfXwor8QoCBAgQIECAAAECBAgQIECAAAECBAgQIEAglwX0ueby6ds7\nAQIECBAgQIAAAQIESlsg+ojz2Ctdb7zxxtJelvcRIPBjgffff3/s2LE/frbtdyd892Pbp74nQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBSrgD7XYuU0GQECBAgQIECAAAECBAgEBX7xi1907tw5GPnZ\n9OnT33jjjXBGlQCBEhW4+eab8/Pzw6+44YYbwgFVAgQIECBAgAABAgQIECBAgAABAgQIECBAgMDO\nC+hz3XlDMxBIF4FEIpEuS7EOAgQIECBAgAABAjsWiK50LVcu9KvRwsJCV7ru2E+FQIkLLF++fPz4\n8eHXnHTSSb/97W/DGVUCBAgQIECAAAECBAgQIECAAAECBAgQIECAwM4LhP5kcednNwMBAgQIECBA\ngAABAgQIENhGoFGjRh07dtzm4TbfPvzww6503cbEtwRKTeCaa67ZvHlz+HUucw37qBIgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQLFJaDPtbgkzUOAAAECBAgQIECAAAECyQoMGjQo9kpXXXTJasoRKFaB\nhQsXTps2LTzlySeffNxxx4UzqgQIECBAgAABAgQIECBAgAABAgQIECBAgACBYhHQ51osjCYhQIAA\nAQIECBAgQIAAgRQEDj744Pbt24cHPPLII6+//no4o0qAQLELXHXVVYWFheFptaGHfVQJECBAgAAB\nAgQIECBAgAABAgQIECBAgACBYhTQ51qMmKYiQIAAAQIECBAgQIAAgWQFoitdE4lEIB112umlC/go\nESgJgXnz5v3lL38Jz9y8efNjjz02nFElQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBSXgD7X4pI0\nD4ESF4i9UKfEV+AFBAgQIECAAAECBIpP4NBDDz3zzDPD8z366KOvvvpqOKNKgEAxCkSXuYZni9rT\nBw8eHM6oEiBAgAABAgQIECBAgAABAgQIECBAgAABAgSKUUCfazFimooAAQIECBAgQIAAAQIEUhC4\n9tprY690vfrqq1OYUZQAgZ0QmDVr1ksvvRSeIGpP/9WvfhXOqBIgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIEilFAn2sxYpqKAAECBAgQIECAAAECBFIQOPzww9u1axce8NRTTz333HPhjCoBAjsvUFBQ\nMHDgwPA8eXl5N998czijSoAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoXgF9rsXraTYCZSkQvgqr\nLFfm3QQIECBAgAABAgR2IHDjjTdGnXM7KP7v49gPUg8PVyVAIBmB8ePHv/HGG+Fkjx49DjrooHBG\nlQABAgQIECBAgAABAgQIECBAgAABAgQIECBQvAL6XIvX02wECBAgQIAAAQIECBAgkIJAo0aNunfv\nHh7w8ssvz5w5M5xRJUBgZwQ2bNgwaNCg8Ay77LLLddddF86oEiBAgAABAgQIECBAgAABAgQIECBA\ngAABAgSKXUCfa7GTmpAAAQIECBAgQIAAAQIEUhCIOucqVqwYHhB9nHr0oerhjCoBAkUWGDZs2MqV\nK8PD+/Tps++++4YzqgQIECBAgAABAgQIECBAgAABAgQIECBAgACBYhfQ51rspCYkQIAAAQIECBAg\nQIAAgRQE6tWrd/7554cHLFmyZOLEieGMKgECRRP4z3/+86c//Sk8tnr16ldffXU4o0qAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQKAkBfa4loWpOAgQIECBAgAABAgQIEEhBILqutUqVKuEB0bWvmzZt\nCmdUCRAogsCgQYPWr18fHnjppZfWrl07nFElQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJSEgD7X\nklA1J4ESESgsLCyReU1KgAABAgQIECBAoKwF9tprr759+4ZX8f77748aNSqcUSVAIFWB119/fezY\nseFRdevWjfpcwxlVAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAJCehzLSFY0xIgQIAAAQIECBAg\nQIBACgKXX355jRo1wgNuvvnm2FsnwzOoEiCwjcBll122ZcuWbR5u8+1NN90Ue+PyNkN8S4AAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAoLgF9rsUlaR4CBAgQIECAAAECBAgQKLpArVq1BgwYEB6/atWq\noUOHhjOqBAgkL/DUdz/C+cMPP7xHjx7hjCoBAgQIECBAgAABAgQIECBAgAABAgQIECBAoOQE9LmW\nnK2ZCZS2QCKRKO1Xeh8BAgQIECBAgACB4hPo379/nTp1wvPddtttK1euDGdUCRBIRiA/P//iiy+O\nTQ4bNqxcOb99FOskQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJSUgD+oKClZ8xIgQIAAAQIECBAg\nQIBASgLVq1cfNGhQeMiGDRuuvvrqcEaVAIFkBIYPH/7WW2+Fk7/77kc4o0qAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQKFEBfa4lymtyAgQIECBAgAABAgQIEEhBoHfv3g0aNAgPmDBhwquvvhrOqBIg\nEBb49NNPb7jhhnAmusY1usw1nFElQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJS0gD7XkhY2PwEC\nBAgQIECAAAECBAgkK1ChQoUhQ4aE04WFhQMGDAhnVAkQCAtcddVVX375ZTjTo0ePww8/PJxRJUCA\nAAECBAgQIECAAAECBAgQIECAAAECBAiUtIA+15IWNj8BAgQIECBAgAABAgQIpCBw5plnHnPMMeEB\nzz333KxZs8IZVQIEdiTwyiuvjBs3bkfV759Xr1795ptvDmdUCRAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQKlIKDPtRSQvYJA8QhE11YVz0RmIUCAAAECBAgQIJDeAsl8VPpll122efPm9N6H1RFIR4Ho\nl5Z9+/aN/QXmNddcs/fee6fjBqyJAAECBAgQIECAAAECBAgQIECAAAECBAgQyDEBfa45duC2S4AA\nAQIECBAgQIAAgbQXOPbYY6NbXcPLXLZs2YgRI8IZVQIEthcYP358dJ/r9s+3ftKgQYP+/ftv/cTX\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAIGyEtDnWlby3kuAAAECBAgQIECAAAECOxS49dZbK1So\nsMPyd4Ubbrhh7dq14YwqAQJbC0T/ylxxxRVbP/nJr++4446KFSv+ZMlDAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgEApC+hzLWVwryNQggKJRKIEZzc1AQIECBAgQIAAgVIUaNiw4QUXXBB+4eeffx61\nuoYzqgQIbC1w5ZVXrlq1ausn2399yimntGrVavvnnhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nykRAn2uZsHspAQIECBAgQIAAAQIECMQIXHfddbvuums4dM899yxZsiScUSVA4HuBl19++f777w9r\nRPco33nnneGMKgECBAgQIECAAAECBAgQIECAAAECBAgQIECgNAX0uZamtncRIECAAAECBAgQIECA\nQLICtWvXHjhwYDi9efPmvn37hjOqBAhEAtG/LL179y4sLAxr9OvX76CDDgpnVAkQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECpSmgz7U0tb2LAAECBAgQIECAAAECBFIQ6N+/f4MGDcID/va3v02bNi2c\nUSVA4K677lq0aFHYYa+99rr22mvDGVUCBAgQIECAAAECBAgQIECAAAECBAgQIECAQCkL6HMtZXCv\nI0CAAAECBAgQIECAAIFkBSpWrHj77bfHpgcMGPD111/HxgQI5KzARx99dP3118du/7bbbtt1111j\nYwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgdIU0OdamtreRWCnBGI/X3KnZjeYAAECBAgQIECA\nQFoKtG7dunnz5uGlrVixYvDgweGMKoFcFujXr9/69evDAs2aNevSpUs4o0qAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQKH0Bfa6lb+6NBAgQIECAAAECBAgQIJCCwJ133lmhQoXwgOgeyuXLl4czqgRy\nU+Cx736E9x7dnXzvvfeGM6oECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgTIR0OdaJuxeSoAAAQIE\nCBAgQIAAAQLJCjRq1Oj3v/99OL1p06Y//OEP4YwqgRwUWLt2bZ8+fWI3fvnllx900EGxMQECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAQOkL6HMtfXNvJFBSAolEoqSmNi8BAgQIECBAgACBMhW47rrr\n6tSpE17CE088MXv27HBGlUCuCVxyySWffPJJeNf169cfOHBgOKNKgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECgrAX2uZSXvvQQIECBAgAABAgQIECCQrECNGjUGDx4cm+7Xr9+GDRtiYwIEckTgmWee\nGTt2bOxm77nnnkqVKsXGBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECZSKgz7VM2L2UAAECBAgQ\nIECAAAECBFIT6NWr15FHHhke8/7770c3v4YzqgRyRGD9+vXnnXde7GbbtWvXokWL2JgAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQKCsBPS5lpW89xIgQIAAAQIECBAgQIBACgLlypUbPnx4IpEIj7nz\nzjsXLlwYzqgSyAWBq6666oMPPgjvdLfddov+tQpnVAkQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nZSugz7Vs/b2dAAECBAgQIECAAAECBJIVOPbYY6NbXcPpzZs3n3/++QUFBeGYKoHsFpg/f/69994b\nu8fbbrttr732io0JECBAgAABAgQIECBAgAABAgQIECBAgAABAgTKUECfaxniezWB1AQKCwtTGyBN\ngAABAgQIECBAIOsE/vjHP9auXTu8rX/84x/33HNPOKNKIIsFNmzY0LNnz9hfQjZr1iyKZbGDrREg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQLZIaDPNTvO0S4IECBAgAABAgQIECCQEwK1atUaNmxY7Fav\nueaaFStWxMYECGSlwGWXXfbOO++Et1alSpX7778/nFElQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCKSDgD7XdDgFayBAgAABAgQIECBAgACBZAXOPvvs3/72t+H0V1999fvf/z6cUSWQlQJPP/30fffd\nF7u1m266qX79+rExAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAmQvocy3zI7AAAsUmkEgkim0u\nExEgQIAAAQIECBBIY4ERI0ZUqFAhvMCZM2fOmDEjnFElkGUCa9as6dmzZ+ymjjrqqD/84Q+xMQEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAQDoI6HNNh1OwBgIECBAgQIAAAQIECBBIQeCQQw4ZMGBA\n7IC+ffuuW7cuNiZAIGsE+vTps3LlyvB2KlasOHr06Ly8vHBMlQABAgQIECBAgAABAgQIECBAgAAB\nAgQIECCQJgL6XNPkICyDAAECBAgQIECAAAECBFIQGDRo0P777x8eEDX8XXzxxeGMKoGsEZg6deqU\nKVNit3P99dcffvjhsTEBAgQIECBAgAABAgQIECBAgAABAgQIECBAgECaCOhzTZODsAwCBAgQIECA\nAAECBAgQSEGgSpUqw4cPjx0wduzYJ598MjYmQCDTBT7++OPoMtfYXTRp0uTyyy+PjQkQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBNJHQJ9r+pyFlRAgQIAAAQIECBAgQIBACgKtWrXq1KlT7IDzzjtv\n7dq1sTEBApkrUFBQcNZZZ33xxRfhLVSuXHn8+PF5eXnhmCoBAgQIECBAgAABAgQIECBAgAABAgQI\nECBAIK0E9Lmm1XFYDIGQQGFhYaisRoAAAQIECBAgQCD3BO6+++7atWuH971y5cr+/fuHM6oEMlrg\n1ltvffbZZ2O3MGTIkF/84hexMQECBAgQIECAAAECBAgQIECAAAECBAgQIECAQFoJ6HNNq+OwGAIE\nCBAgQIAAAQIECBBIQaBOnTpRq2vsgOgOy8cffzw2JkAgEwVefPHF66+/PnblJ554Yt++fWNjAgQI\nECBAgAABAgQIECBAgAABAgQIECBAgACBdBPQ55puJ2I9BAgQIECAAAECBAgQIJCCQOfOnVu3bh07\n4Pzzz1+zZk1sTIBAZgmsXbu2S5cumzdvDi+7evXqY8eOTSQS4ZgqAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgQCANBfS5puGhWBKBIgr4M8siwhlGgAABAgQIECCQ4QIjR46sUaNGeBOffPJJv379whlV\nAhkncO65537wwQexyx4+fHi9evViYwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgTQU0Oeahodi\nSQQIECBAgAABAgQIECCQgkDdunWHDRsWO2DixIkzZ86MjQkQyBSBUaNGPfLII7Gr7dSp09lnnx0b\nEyBAgAABAgQIECBAgAABAgQIECBAgAABAgQIpKeAPtf0PBerIkCAAAECBAgQIECAAIEUBKJbLZs1\naxY74LzzzvvPf/4TGxMgkP4CixYtuvjii2PXGV3jGl14HBsTIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAikrYA+17Q9GgsjQIAAAQIECBAgQIAAgRQEHnjggapVq4YHfPbZZ9HFloWFheGYKoE0F1i7\ndu2ZZ575zTffhNeZl5c3efLkGjVqhGOqBAgQIECAAAECBAgQIECAAAECBAgQIECAAIF0FtDnms6n\nY20ECBAgQIAAAQIECBAgkKzAAQccMHTo0Nj0008/fccdd8TGBAikrUDUqN29e/d33303doXXXnvt\nscceGxsTIECAAAECBAgQIECAAAECBAgQIECAAAECBAiks4A+13Q+HWsj8CMBl079iMM3BAgQIECA\nAAECBLYT6NOnzymnnLLd420fXHXVVQsXLtz2qe8JZIjAkCFDZs+eHbvY4447buDAgbExAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIBAmgvoc03zA7I8AgQIECBAgAABAgQIEEhBYMyYMbvvvnt4wKZN\nm7p06RL7me/hSVQJlInA3LlzBw0aFPvqmjVrTpo0KS8vLzYpQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBBIcwF9rml+QJZHgAABAgQIECBAgAABAikI7L333iNHjowd8NZbb11yySWxMQECaSWwYsWK\nzp07b9myJbyqRCIxfvz4/fbbLxxTJUCAAAECBAgQIECAAAECBAgQIECAAAECBAhkhIA+14w4Josk\nkJRA9GeZSeWECBAgQIAAAQIECGS1QLt27c4666zYLUbtsDNnzoyNCRBIE4GNGzdGP7c/++yz2PVc\ndtllrVu3jo0JECBAgAABAgQIECBAgAABAgQIECBAgAABAgQyQkCfa0Yck0USIECAAAECBAgQIECA\nQAoCw4cPT+Yyy169ekUXZKYwryiBshM477zzFixYEPv+448/fvDgwbExAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIBApgjoc82Uk7JOAgQIECBAgAABAgQIEEhWoEaNGtHntsd+4sHnn3/eoUOH/Pz8\nZOeVI1BGAkOHDp0wYULsy/fYY48pU6aUL18+NilAgAABAgQIECBAgAABAgQIECBAgAABAgQIEMgU\nAX2umXJS1kmAAAECBAgQIECAAAECKQiccMIJl1xySeyAl156KfqQ99iYAIEyFJgzZ85VV10Vu4By\n5cpNnjy5bt26sUkBAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAGCehzzaDDslQCBAgQIECAAAEC\nBAgQSEHglltuOfLII2MH3HXXXQ8//HBsTIBAmQi8+eabXbp0KSgoiH379ddf36xZs9iYAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIEAgswT0uWbWeVltTgsUFhbm9P5tngABAgQIECBAgECKAhUrVpw6\ndWr16tVjx/Xs2XPZsmWxMQECpSzwxRdftGnT5ssvv4x972mnnXbNNdfExgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAhknoM81447MggkQIECAAAECBAgQIEAgWYEGDRqMGjUqNv3VV1+1a9fum2++\niU0KECg1gU2bNrVt2/bdd9+NfeMhhxwyYcKERCIRmxQgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCGScgD7XjDsyCyZAgAABAgQIECBAgACBFAQ6d+587rnnxg54/fXXL7zwwtiYAIHSEYg+0KNHjx7z\n5s2Lfd1uu+322GOPJXNvcexUAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBNBTQ55qGh2JJBIoo\n4PKeIsIZRoAAAQIECBAgkO0Cd99992GHHRa7y/Hjx99///2xMQECpSBw5ZVXPvTQQ7EvKleuXBRr\n2LBhbFKAAAECBAgQIECAAAECBAgQIECAAAECBAgQIJChAvpcM/TgLJsAAQIECBAgQIAAAQIEkhWo\nXLny1KlTq1SpEjugb9++8+fPj40JEChRgREjRgwdOjSZV9xyyy2nnHJKMkkZAgQIECBAgAABAgQI\nECBAgAABAgQIECBAgECGCuhzzdCDs2wCBAgQIECAAAECBAgQSEHgkEMOGT58eOyATZs2nXnmmR98\n8EFsUoBACQnMnj076rdOZvJOnTpdccUVySRlCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKZK6DP\nNXPPzsoJECBAgAABAgQIECBAIAWBnj17du/ePXbAqlWrTjvttK+//jo2KUCg2AVeeeWVqHt1y5Yt\nsTM3adJk7NixsTEBAgQIECBAgAABAgQIECBAgAABAgQIECBAgECmC+hzzfQTtH4CBAgQIECAAAEC\nBAgQSFZg5MiRv/zlL2PTixYtijpiCwsLY5MCBIpRYMmSJS1bttywYUPsnAcccMDMmTMrVaoUmxQg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECGS6gD7XTD9B688hAX/KnkOHbasECBAgQIAAAQIlI1C5\ncuUZM2bsvvvusdM/+uij119/fWxMgEBxCbz33nv/8z//8/nnn8dOuNtuu82ZM2ePPfaITQoQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBLJAQJ9rFhyiLRAgQIAAAQIECBAgQIBAsgL16tWbOnVqXl5e\n7ICbbrpp+vTpsTEBAjsv8PHHH5988smffPJJ7FQVKlR45JFHDj744NikAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIEAgOwT0uWbHOdoFAQIECBAgQIAAAQIECCQr0KxZsyFDhsSmo09U6NGjxz//+c/Y\npACBnRGI7nCNbnL997//ncwkI0eOPOmkk5JJyhAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEskNA\nn2t2nKNdEPj/AolEAgQBAgQIECBAgAABAskIXHrppR07doxNbtiw4dRTT40+UD42KUCgaAJfffXV\nKaec8uabbyYzfODAgT179kwmKUOAAAECBAgQIECAAAECBAgQIECAAAECBAgQyBoBfa5Zc5Q2QoAA\nAQIECBAgQIAAAQIpCIwePfrwww+PHbBq1aqoDXH16tWxSQECqQpETa4tWrRI8s7gc8899+abb071\nFfIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUwX0Oea6Sdo/QQIECBAgAABAgQIECBQFIGqVavO\nmDGjZs2asYPfeeedVq1aRXe7xiYFCCQv8P1Nri+88EIyQ84444yRI0cmk5QhQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECGSZgD7XLDtQ2yFAgAABAgQIECBAgACBZAUOPPDAadOmlS9fPnbAggULOnXq\ntGXLltikAIFkBKIm1+bNm7/44ovJhJs2bTp58uS8vLxkwjIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAgSwT0OeaZQdqOwQIECBAgAABAgQIECCQgsDJJ5+c5DWZs2fP7tOnTwpTixLYgcCXX34ZNbm+\n9NJLO6j/6HHjxo1nzpxZqVKlHz31DQECBAgQIECAAAECBAgQIECAAAECBAgQIEAgZwT0uebMUdto\n5gsUFhZm/ibsgAABAgQIECBAgEDaCfTq1evKK69MZln333//TTfdlExShsCOBFJqcq1fv/6TTz5Z\no0aNHc3mOQECBAgQIECAAAECBAgQIECAAAECBAgQIEAg6wX0uWb9EdsgAQIECBAgQIAAAQIECMQI\n3HLLLR06dIgJfVe+9tpr77777mSSMgS2F1i9evVJJ5308ssvb1/a/sl+++337LPP7rXXXtuXPCFA\ngAABAgQIECBAgAABAgQIECBAgAABAgQI5I6APtfcOWs7JUCAAAECBAgQIECAAIGfFkgkEuPHjz/m\nmGN+uvzjp/3793/ggQd+/Mx3BOIFPvroo+OPP/5f//pXfPRnP6tbt27U5FqvXr1kwjIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAgSwW0OeaxYdrazknEP3ZfM7t2YYJECBAgAABAgQIFJNApUqVZs6c\nGX1MfOx8hYWFvXv3njBhQmxSgMAPAm+//fZxxx23dOnSH54Evthzzz2jJtcDDzwwkFEiQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECOSIgD7XHDlo2yRAgAABAgQIECBAgACBGIE6derMmTOnZs2aMbmf\n/aygoOCcc86ZPn16bFKAQCTw6quvRje5fvjhh8lo1K5de+7cuQcddFAyYRkCBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAQNYL6HPN+iO2QQIECBAgQIAAAQIECBBIVqBRo0YzZsyI7naNHbBly5auXbvO\nnj07NimQ4wLPPffciSee+NlnnyXjUKtWrb/+9a+HHnpoMmEZAgQIECBAgAABAgQIECBAgAABAgQI\nECBAgEAuCOhzzYVTtkcCBAgQIECAAAECBAgQSFagadOm06ZNK1++fOyA/Pz89u3bP/3007FJgZwV\nmDhxYvPmzb/88stkBL6/yfWII45IJixDgAABAgQIECBAgAABAgQIECBAgAABAgQIEMgRAX2uOXLQ\ntkmAAAECBAgQIECAAAECyQq0bt163LhxiUQidsDGjRvbtGnjVtdYqNwM3HjjjWedddamTZuS2f5e\ne+01b968xo0bJxOWIUCAAAECBAgQIECAAAECBAgQIECAAAECBAjkjoA+19w5azvNeIHCwsKM34MN\nECBAgAABAgQIEMgQga5duw4fPjyZxUatrmeeeebUqVOTCcvkiEDU23r22Wdfd911Se533333ff75\n5w855JAk82IECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgdwR0OeaO2dtpwQIECBAgAABAgQIECCQ\ngsBFF1108803JzMgPz+/S5cuY8aMSSYsk/UCa9asad68+Z///Ockd1q/fv2///3vDRs2TDIvRoAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBDIKQF9rjl13DZLgAABAgQIECBAgAABAikIDBw4cMCAAckM\nKCgoOPfcc5O8AjaZCWUyVGDp0qVNmjR57rnnklx/o0aNoptc69Wrl2RejAABAgQIECBAgAABAgQI\nECBAgAABAgQIECCQawL6XHPtxO03mwUSiUQ2b8/eCBAgQIAAAQIECJSFwLBhw3r16pXMmwsLC/v1\n63frrbcmE5bJSoHHHnvs6KOPXrZsWZK7i8LRTa777LNPknkxAgQIECBAgAABAgQIECBAgAABAgQI\nECBAgEAOCuhzzcFDt2UCBAgQIECAAAECBAgQSEFg1KhRZ511VpIDrr766ssvvzzqeU0yL5YdAtGF\nvoMGDWrbtu1XX32V5I5atmz57LPP1q5dO8m8GAECBAgQIECAAAECBAgQIECAAAECBAgQIEAgNwX0\nuebmuds1AQIECBAgQIAAAQIECCQrkJeXN27cuHPOOSfJAX/60586deq0cePGJPNimS6wdu3a1q1b\n33zzzcn3N/fo0WPmzJlVq1bN9L1bPwECBAgQIECAAAECBAgQIECAAAECBAgQIECgpAX0uZa0sPkJ\nECBAgAABAgQIECBAIOMFypUrN3r06PPOOy/JnUybNq1Zs2aff/55knmxzBVYuHDhUUcd9cQTTyS/\nhejS37Fjx5YvXz75IZIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZwV0Oeas0dv4wQIECBAgAAB\nAgQIECCQgkAikRg1alSfPn2SHPPCCy8cc8wxy5cvTzIvlokCw4cPb9KkSfKnHN0NfO+99w4ePDgT\nN2vNBAgQIECAAAECBAgQIECAAAECBAgQIECAAIEyEdDnWibsXkqgKALJfwJmUWY3hgABAgQIECBA\ngACBOIGo1TVqUuzXr19c8H/r77zzTtTq+uKLLyaZF8sggS+++OK0006LfjJs3LgxyWXXqFFjzpw5\nybdKJzmtGAECBAgQIECAAAECBAgQIECAAAECBAgQIEAguwX0uWb3+dodAQIECBAgQIAAAQIECBSz\nwF133TVgwIAkJ129enWzZs0mT56cZF4sIwSef/75I444YtasWcmvtkGDBi+//HLz5s2THyJJgAAB\nAgQIECBAgAABAgQIECBAgAABAgQIECAQCehz9dOAAAECBAgQIECAAAECBAikJjBs2LBrrrkmyTHf\nfvtt165dL7744s2bNyc5RCxtBfLz86+99tqTTjppxYoVyS8yyi9YsKBRo0bJD5EkQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBD4XkCfq58JBLJHIPoQ1ezZjJ0QIECAAAECBAgQSG+Bm2666b777itX\nLtlfVt95551Rs+N//vOf9N6W1YUEFi1adNRRR0VHv2XLllDux7XevXs/9dRTtWrV+vFj3xEgQMBl\nVeYAAEAASURBVIAAAQIECBAgQIAAAQIECBAgQIAAAQIE/h979x0oVXkmDPy7gICgCBIrRcWAIBos\nWEFir2js3QS7opjYosYYFXvE3kss0WRtRLGXFVEMoqJi7xVEBRsqUkT4nmV2z85OOXfuvXPnFn7z\nB3nP85bzvr9zmLibx2cIlCRQ6v8gV9JiBhEgQIAAAQIECBAgQIAAgYVG4PDDDx85cuSiiy5a4onH\njh279tprjxs3rsTxhjUegajFO3z48EhyjVTX0nfVunXrK6644qqrrmrVqlXps4wkQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBDIFpDnmq2hTYAAAQIECBAgQIAAAQIEaiCw4447PvbYY6WX6pwyZcrG\nG298+eWX1+Aehja0wGuvvbbeeuudeuqpP/30U+l76d69+1NPPTV06NDSpxhJgAABAgQIECBAgAAB\nAgQIECBAgAABAgQIECCQLyDPNd9EhAABAgQIECBAgAABAgQIlCowYMCAp59+eoUVVihxQuRKDhs2\nbI899vjmm29KnGJYQwnMnDnzz3/+c1ThffHFF2u0h6233jqmRHZsjWYZTIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgkC8gzzXfRIQAAQIECBAgQIAAAQIECNRAoE+fPuPGjevXr1/pc+64445f/epX\no0ePLn2KkRUWeOCBB/r27XvWWWfNmTOn9Fu3aNHijDPOePDBBzt37lz6LCMJECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgSKCchzLSYjTqDRCcyfP7/R7cmGCBAgQIAAAQIECBBYILD88svHj9Rvt912\npXtMnjx58803P+6442qURln6+kbWWmDSpEk777zz4MGDP/zwwxotsvTSSz/66KNRAraqqqpGEw0m\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoJiDPtZiMOAECBAgQIECAAAECBAgQqIFAhw4d7r33\n3pNPPrn0OfEvs11wwQXrrLPO66+/XvosI+tPYNasWeeee24U6L377rtrepdtt9325Zdf3myzzWo6\n0XgCBAgQIECAAAECBAgQIECAAAECBAgQIECAAIEUAXmuKTi6CBAgQIAAAQIECBAgQIBADQTiN+vP\nPPPMO++8s3379qVPe+WVV/r373/++efPnTu39FlGllcgco5vvfXWVVZZ5aSTTpoxY0aNFm/Xrt0V\nV1zxwAMPLLvssjWaaDABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEC1AvJcqyUygECTEfDLmE3m\nUdkoAQIECBAgQIBAsxbYddddn3nmmR49epR+yigj+sc//jGyXZ999tnSZxlZLoExY8ZEVd399tvv\nk08+qema8dRefPHFoUOH1nSi8QQIECBAgAABAgQIECBAgAABAgQIECBAgAABAqUIyHMtRckYAgQI\nECBAgAABAgQIECBQA4HVV1/9+eef33zzzWsw5//9v/jV+w033PDII4/87rvvajTR4FoLvPrqqzvs\nsMMmm2zywgsv1HSRli1bnnzyyePGjYsqsDWdazwBAgQIECBAgAABAgQIECBAgAABAgQIECBAgECJ\nAvJcS4QyjAABAgQIECBAgAABAgQI1EBgySWXfPjhh6NKa41+eGHevHlXXHFF796977zzzhrczNCa\nC7zyyitRebdfv3733XdfzWf/v759+z799NNnnnnmIossUovpphAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECJQoIM+1RCjDCBAgQIAAAQIECBAgQIBAzQSi3ud5550X2a7LLrtsjWZ+9tlnu++++1Zb\nbRW5mDWaaHApAlE3d5dddlljjTVGjhw5f/78UqZkj2nTps3w4cNfeuml9ddfPzuuTYAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgUB8C8lzrQ9WaBAgQIECAAAECBAgQIEDgvwW23HLLSKzcdtttayry\n6KOPrrnmmkOGDJk0aVJN5xpfUGDcuHE77bRTqP7rX/+qRYZrrLnRRhtNnDjxlFNOUca1oLAgAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQKDsAvJcy05qQQL1JVC7/xW2vnZjXQIECBAgQIAAAQIEShZY\neumlH3jggYsvvjhKgZY86b8Gzps37+abb+7Vq9eJJ544ffr0Gs01OBGYO3fu7bffHuVXBwwYcM89\n99Tu/7ZaYoklrr766ieffLJ3797JyhoECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQL1LSDPtb6F\nrU+AAAECBAgQIECAAAECBP5L4Pe///2zzz5biyzJWbNmnXfeeSuvvPKFF144Y8YMmqULfPvtt+e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AECBAgQIECAAAECBAgQIECAQGMUkOfaGJ+KPREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE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\nI5V22LBhb7zxRulJrrHIhhtueMopp+SvVixy5JFHRq5tw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gQIECBAgAABAgQIECBAgAAB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\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jjAUt+R/TH6iKOdf07Yqzp5Q/vfo5bvSnuFrJ3XbbrdwpXbt2Ldc1idob7hU0iRwMS4AA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\ngRdGfyO3cfKfbAAAAABJRU5ErkJggg==\n"
        }
      },
      "id": "68a971f2-a12b-41dc-8951-2f4a44530f02"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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H0agMANnss88+kzZt2si1114r33//fbbtB9NfA0AUnDx5UubOnWvWvrjyyiud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\n"
          }
        }
      ],
      "source": [
        "# Exemple de plateau pour le problème des 8-Reines\n",
        "# Représente une solution valide pour les 8-Reines\n",
        "board = [0, 4, 7, 5, 2, 6, 1, 3]  \n",
        "\n",
        "display_n_queens(board, 5)"
      ],
      "id": "a1c025af"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "``` python\n",
        "etat = [0, 4, 7, 5, 2, 6, 1, 3]\n",
        "```\n",
        "\n",
        "## `create_initial_state`"
      ],
      "id": "b132eae2-8ea3-4c47-874f-a622f42dc96c"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "import random\n",
        "random.seed(7)\n",
        "\n",
        "def create_initial_state(n):\n",
        "\n",
        "    \"\"\"Génère un état initial aléatoire avec une reine par colonne.\"\"\"\n",
        "\n",
        "    return [random.randint(0, n - 1) for _ in range(n)]"
      ],
      "id": "06672542"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Qu’en **pensez-vous** ?\n",
        "\n",
        "## `create_initial_state`"
      ],
      "id": "1c6309df-081b-40f0-8453-c0bb01b9d1e8"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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uuuqquL4fFDwCAcijmjVrunPPPTdXj926dWuBbX+NOs7LlBlMWVH0EAhAHmlq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\nAgEA4OR/AfLu7Z7T3l7kAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "etat = create_initial_state(8)\n",
        "display_n_queens(etat, 5)"
      ],
      "id": "acecc93b"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "[5, 2, 6, 0, 1, 1, 5, 0]"
            ]
          }
        }
      ],
      "source": [
        "etat "
      ],
      "id": "7495e088"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Permet deux Reines dans la même ligne? Comment cela peut-il être corrigé\n",
        "?\n",
        "\n",
        "## Représentation des 8-Reines\n",
        "\n",
        "Échiquier $8 \\times 8$.\n",
        "\n",
        "- **Placement sans contrainte** : $\\binom{64}{8} = 4,426,165,368$\n",
        "  configurations possibles, représentant la sélection de 8 cases parmi\n",
        "  64.\n",
        "\n",
        "- **Contrainte de colonne** : Utilisez une liste de longueur 8, chaque\n",
        "  entrée indiquant la ligne d’une reine dans sa colonne respective, ce\n",
        "  qui donne $8^8 = 16,777,216$ configurations.\n",
        "\n",
        "- **Contraintes de ligne et de colonne** : Modélisez les états du\n",
        "  plateau comme des permutations des indices de ligne des 8 reines,\n",
        "  réduisant les configurations à $8! = 40,320$.\n",
        "\n",
        "Cela souligne l’importance de choisir une bonne représentation.\n",
        "\n",
        "## `create_initial_state`"
      ],
      "id": "9720877a-f645-4fa7-938c-e1dee3529e56"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "import random\n",
        "random.seed(7)\n",
        "\n",
        "def create_initial_state(n):\n",
        "\n",
        "    \"\"\"Génère une permutation des nombres de 0 à n-1 comme état initial.\"\"\"\n",
        "\n",
        "    etat = list(range(n))\n",
        "    random.shuffle(etat)\n",
        "\n",
        "    return etat"
      ],
      "id": "6019d924"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `create_initial_state`"
      ],
      "id": "55ebe01b-4d7a-4787-b218-b134852c14ec"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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58qStl57WPGeZCgQAgH+lFwiZmssof/78Ur16dfELfoVwvGO5ZKP4jnO8M2LN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\ngCEQAACGQAAAGAIBACDq/wHbHedpOIMHEAAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "etat = create_initial_state(8)\n",
        "display_n_queens(etat, 5)"
      ],
      "id": "02108e00"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "[6, 7, 2, 4, 0, 3, 1, 5]"
            ]
          }
        }
      ],
      "source": [
        "etat "
      ],
      "id": "2c818dfd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `calculate_conflicts`"
      ],
      "id": "000b026d-8a6e-46f0-9077-1612753e3231"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "def calculate_conflicts(etat):\n",
        "\n",
        "    n = len(etat)\n",
        "    conflits = 0\n",
        "\n",
        "    for col_i in range(n):\n",
        "        for col_j in range(col_i + 1, n):\n",
        "            row_i = etat[col_i]\n",
        "            row_j = etat[col_j]\n",
        "            if row_i == row_j:                 # même ligne\n",
        "                conflits += 1\n",
        "            if col_i - row_i == col_j - row_j: # même diagonale\n",
        "                conflits += 1\n",
        "            if col_i + row_i == col_j + row_j: # même antidiagonale\n",
        "                conflits += 1\n",
        "\n",
        "    return conflits"
      ],
      "id": "a9cbe168"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `calculate_conflicts`"
      ],
      "id": "39582215-d0e0-4667-82f4-b6bd4a0e6e7c"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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58qStl57WPGeZCgQAgH+lFwiZmssof/78Ur16dfELfoVwvGO5ZKP4jnO8M2LN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\ngCEQAACGQAAAGAIBACDq/wHbHedpOIMHEAAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "display_n_queens(etat, 5)"
      ],
      "id": "617a4b92"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "    5\n",
        "\n",
        "## `get_neighbors_rn`"
      ],
      "id": "fbee763a-c654-4312-a206-1aa7f101b9bf"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_neighbors_rn(etat):\n",
        "\n",
        "    \"\"\"Génère des états voisins en déplaçant une reine à la fois vers une nouvelle ligne.\"\"\"\n",
        "\n",
        "    voisins = []\n",
        "    n = len(etat)\n",
        "\n",
        "    for col in range(n):\n",
        "        for row in range(n):\n",
        "            if (etat[col] != row):\n",
        "              nouvel_etat = etat[:]  # copie de l'état\n",
        "              nouvel_etat[col] = row\n",
        "              voisins.append(nouvel_etat)\n",
        "\n",
        "    return voisins"
      ],
      "id": "f02d6be2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Russell et Norvig (2020), $8 \\times 7 = 56$ voisins\n",
        "\n",
        "## `get_neighbors_rn`"
      ],
      "id": "cbd8ff8e-d635-45a2-a939-ce69c4a5a6a3"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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TUqRIkfAEAgDAuzILhGzNZZSYmCjVqlUTr+BXCMc7lks2iu84xzsrUlNT5cyZ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\n"
          }
        }
      ],
      "source": [
        "etat = create_initial_state(8)\n",
        "display_n_queens(etat, 5)"
      ],
      "id": "dfc9da4a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `get_neighbors_rn`"
      ],
      "id": "7ba0ba95-8247-40f0-ae1d-49abace539f8"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[7, 4, 2, 5, 1, 0, 3, 6]\n",
            "[0, 4, 2, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[1, 4, 2, 5, 1, 0, 3, 6] -> # of conflicts = 5\n",
            "[2, 4, 2, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[3, 4, 2, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[4, 4, 2, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[5, 4, 2, 5, 1, 0, 3, 6] -> # of conflicts = 8\n",
            "[6, 4, 2, 5, 1, 0, 3, 6] -> # of conflicts = 5\n",
            "[7, 0, 2, 5, 1, 0, 3, 6] -> # of conflicts = 4\n",
            "[7, 1, 2, 5, 1, 0, 3, 6] -> # of conflicts = 4\n",
            "[7, 2, 2, 5, 1, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 3, 2, 5, 1, 0, 3, 6] -> # of conflicts = 5\n",
            "[7, 5, 2, 5, 1, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 6, 2, 5, 1, 0, 3, 6] -> # of conflicts = 4\n",
            "[7, 7, 2, 5, 1, 0, 3, 6] -> # of conflicts = 4\n",
            "[7, 4, 0, 5, 1, 0, 3, 6] -> # of conflicts = 5\n",
            "[7, 4, 1, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 3, 5, 1, 0, 3, 6] -> # of conflicts = 8\n",
            "[7, 4, 4, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 5, 5, 1, 0, 3, 6] -> # of conflicts = 7\n",
            "[7, 4, 6, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 7, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 2, 0, 1, 0, 3, 6] -> # of conflicts = 7\n",
            "[7, 4, 2, 1, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 2, 2, 1, 0, 3, 6] -> # of conflicts = 9\n",
            "[7, 4, 2, 3, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 2, 4, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 2, 6, 1, 0, 3, 6] -> # of conflicts = 7\n",
            "[7, 4, 2, 7, 1, 0, 3, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 0, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 2, 0, 3, 6] -> # of conflicts = 2\n",
            "[7, 4, 2, 5, 3, 0, 3, 6] -> # of conflicts = 4\n",
            "[7, 4, 2, 5, 4, 0, 3, 6] -> # of conflicts = 4\n",
            "[7, 4, 2, 5, 5, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 6, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 7, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 1, 1, 3, 6] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 1, 2, 3, 6] -> # of conflicts = 6\n",
            "[7, 4, 2, 5, 1, 3, 3, 6] -> # of conflicts = 4\n",
            "[7, 4, 2, 5, 1, 4, 3, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 1, 5, 3, 6] -> # of conflicts = 4\n",
            "[7, 4, 2, 5, 1, 6, 3, 6] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 1, 7, 3, 6] -> # of conflicts = 4\n",
            "[7, 4, 2, 5, 1, 0, 0, 6] -> # of conflicts = 4\n",
            "[7, 4, 2, 5, 1, 0, 1, 6] -> # of conflicts = 6\n",
            "[7, 4, 2, 5, 1, 0, 2, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 1, 0, 4, 6] -> # of conflicts = 4\n",
            "[7, 4, 2, 5, 1, 0, 5, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 1, 0, 6, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 1, 0, 7, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 1, 0, 3, 0] -> # of conflicts = 6\n",
            "[7, 4, 2, 5, 1, 0, 3, 1] -> # of conflicts = 6\n",
            "[7, 4, 2, 5, 1, 0, 3, 2] -> # of conflicts = 7\n",
            "[7, 4, 2, 5, 1, 0, 3, 3] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 1, 0, 3, 4] -> # of conflicts = 7\n",
            "[7, 4, 2, 5, 1, 0, 3, 5] -> # of conflicts = 5\n",
            "[7, 4, 2, 5, 1, 0, 3, 7] -> # of conflicts = 6"
          ]
        }
      ],
      "source": [
        "initial_state_8 = create_initial_state(8)\n",
        "print(initial_state_8)\n",
        "for s in get_neighbors_rn(initial_state_8):\n",
        "  print(f\"{s} -> # of conflicts = {calculate_conflicts(s)}\")"
      ],
      "id": "de5e96a6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `get_neighbors`"
      ],
      "id": "d0b027e7-fb05-4e71-98b1-bdbf434d798e"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_neighbors(etat):\n",
        "    \"\"\"Génère des états voisins en échangeant deux lignes.\"\"\"\n",
        "    voisins = []\n",
        "    n = len(etat)\n",
        "\n",
        "    for i in range(n):\n",
        "        for j in range(i + 1, n):\n",
        "            nouvel_etat = etat[:]\n",
        "            nouvel_etat[i], nouvel_etat[j] = nouvel_etat[j], nouvel_etat[i]\n",
        "            voisins.append(nouvel_etat)\n",
        "\n",
        "    return voisins"
      ],
      "id": "ac3ec029"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "$\\frac{8 \\times 7}{2} = 28$ voisins\n",
        "\n",
        "## `get_neighbors`"
      ],
      "id": "47c25cae-0f45-4669-bf28-d071de89a38c"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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hEAAAhkAAABgCAQBgCAQAgCEQAACGQAAAmJRAIBCQbBw4cEBKlCghRYoUkXr1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\nSUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "etat = create_initial_state(8)\n",
        "display_n_queens(etat, 5)"
      ],
      "id": "eb59edd8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `get_neighbors`"
      ],
      "id": "dfc9683a-ae9b-421f-a86f-8d5a3078314c"
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[7, 4, 2, 5, 1, 0, 3, 6]\n",
            "[4, 7, 2, 5, 1, 0, 3, 6] -> # of conflicts = 4\n",
            "[2, 4, 7, 5, 1, 0, 3, 6] -> # of conflicts = 6\n",
            "[5, 4, 2, 7, 1, 0, 3, 6] -> # of conflicts = 7\n",
            "[1, 4, 2, 5, 7, 0, 3, 6] -> # of conflicts = 2\n",
            "[0, 4, 2, 5, 1, 7, 3, 6] -> # of conflicts = 4\n",
            "[3, 4, 2, 5, 1, 0, 7, 6] -> # of conflicts = 5\n",
            "[6, 4, 2, 5, 1, 0, 3, 7] -> # of conflicts = 5\n",
            "[7, 2, 4, 5, 1, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 5, 2, 4, 1, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 1, 2, 5, 4, 0, 3, 6] -> # of conflicts = 4\n",
            "[7, 0, 2, 5, 1, 4, 3, 6] -> # of conflicts = 5\n",
            "[7, 3, 2, 5, 1, 0, 4, 6] -> # of conflicts = 3\n",
            "[7, 6, 2, 5, 1, 0, 3, 4] -> # of conflicts = 5\n",
            "[7, 4, 5, 2, 1, 0, 3, 6] -> # of conflicts = 10\n",
            "[7, 4, 1, 5, 2, 0, 3, 6] -> # of conflicts = 2\n",
            "[7, 4, 0, 5, 1, 2, 3, 6] -> # of conflicts = 5\n",
            "[7, 4, 3, 5, 1, 0, 2, 6] -> # of conflicts = 7\n",
            "[7, 4, 6, 5, 1, 0, 3, 2] -> # of conflicts = 7\n",
            "[7, 4, 2, 1, 5, 0, 3, 6] -> # of conflicts = 3\n",
            "[7, 4, 2, 0, 1, 5, 3, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 3, 1, 0, 5, 6] -> # of conflicts = 5\n",
            "[7, 4, 2, 6, 1, 0, 3, 5] -> # of conflicts = 6\n",
            "[7, 4, 2, 5, 0, 1, 3, 6] -> # of conflicts = 2\n",
            "[7, 4, 2, 5, 3, 0, 1, 6] -> # of conflicts = 6\n",
            "[7, 4, 2, 5, 6, 0, 3, 1] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 1, 3, 0, 6] -> # of conflicts = 2\n",
            "[7, 4, 2, 5, 1, 6, 3, 0] -> # of conflicts = 3\n",
            "[7, 4, 2, 5, 1, 0, 6, 3] -> # of conflicts = 4"
          ]
        }
      ],
      "source": [
        "print(initial_state_8)\n",
        "for s in get_neighbors(initial_state_8):\n",
        "  print(f\"{s} -> # of conflicts = {calculate_conflicts(s)}\")"
      ],
      "id": "46f194c5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `hill_climbing`"
      ],
      "id": "cb1ec52b-0e6c-4beb-b20c-6fd8cc0ab483"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "\n",
        "def hill_climbing(etat_courant):\n",
        "\n",
        "    conflits_courants = calculate_conflicts(etat_courant)\n",
        "\n",
        "    while True:\n",
        "\n",
        "        if conflits_courants == 0:\n",
        "          return etat_courant\n",
        "\n",
        "        voisins = get_neighbors(etat_courant)\n",
        "\n",
        "        conflits = [calculate_conflicts(voisin) for voisin in voisins]\n",
        "\n",
        "        if (min(conflits)) > conflits_courants:\n",
        "          return None # Aucune amélioration trouvée, bloqué dans un minimum local\n",
        "\n",
        "        arg_best = np.argmin(conflits)\n",
        "        etat_courant = voisins[arg_best]\n",
        "        conflits_courants = conflits[arg_best]"
      ],
      "id": "97201548"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Le programme ci-haut présente un défi majeur. Quel est-il exactement ?\n",
        "\n",
        "Il est important de noter que, dans ce contexte particulier, le problème\n",
        "est défini de manière à ce que la solution recherchée soit exempte de\n",
        "tout conflit. Cependant, dans certains problèmes d’optimisation, la\n",
        "valeur minimale de la fonction objective n’est pas préalablement\n",
        "déterminée.\n",
        "\n",
        "Le principal problème est que l’algorithme risque d’entrer dans une\n",
        "boucle infinie si la condition `min(conflits == conflits_courant)` est\n",
        "satisfaite.\n",
        "\n",
        "Deux scénarios peuvent se présenter : soit le plateau est suivi d’une\n",
        "pente ascendante, soit il représente un maximum local. Dans le premier\n",
        "cas, l’algorithme pourrait potentiellement sortir du plateau, bien que\n",
        "cela ne soit pas garanti. Pour prévenir les boucles infinies, il serait\n",
        "judicieux d’implémenter un mécanisme approprié.\n",
        "\n",
        "## `hill_climbing` (version 2)"
      ],
      "id": "4eeec6f5-34b0-4ee3-84d5-60a0a25ee97f"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [],
      "source": [
        "MAX_SIDE_MOVES = 100\n",
        "\n",
        "def hill_climbing(etat_courant):\n",
        "\n",
        "    conflits_courants = calculate_conflicts(etat_courant)\n",
        "    mouvements_lateraux = 0\n",
        "\n",
        "    while True:\n",
        "\n",
        "        if conflits_courants == 0:\n",
        "          return etat_courant\n",
        "\n",
        "        voisins = get_neighbors(etat_courant)\n",
        "\n",
        "        conflits = [calculate_conflicts(voisin) for voisin in voisins]\n",
        "\n",
        "        if (min(conflits)) > conflits_courants:\n",
        "          return None  # Aucune amélioration trouvée, bloqué dans un minimum local\n",
        "\n",
        "        if (min(conflits)) == conflits_courants:\n",
        "          mouvements_lateraux += 1  # Plateau\n",
        "\n",
        "        if mouvements_lateraux > MAX_SIDE_MOVES:\n",
        "          return None\n",
        "\n",
        "        arg_best = np.argmin(conflits)\n",
        "        etat_courant = voisins[arg_best]\n",
        "        conflits_courants = conflits[arg_best]"
      ],
      "id": "27d2adf2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Résoudre"
      ],
      "id": "a1b6e868-dcad-4492-b87e-c27075e9e8e1"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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JrDg3b94su3btOmlwal/m6tWrcwWnTp6ga97peZ0LFiyQO++8s6i7CgAIIoLzFOgsP/36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\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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mTCh0r1qWEgs9ghMAirjbb7+90CXO77//Xvr16xfycyrOCE4AKKJat24thw4d\nOuVVVtq2bRuycwLBCQBFVo8ePcw/FC30qgUAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhO\nAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAF6J8Pp8vvwcdPHhQ4uLizEKq\nDRs2FC9JT0+Xw4cPS6lSpSQxMVG8JDMzU44ePSqlS5eWBg0aiNdw7SIX1y5ypXv4OzMjI0Nyc3Ml\nJydHYmNjQxOcAAB4XX7BGe3myaKjoyUpKUm8xMulMi//Zai4dpGLaxe5Mj38nZmWliZHjhzJ93Gu\ngrNOnTqSmpoqXpKSkmICRn8BVq1aJV6SnJwsq1evNqHpteumuHaRi2sXuVI8/J157rnnytq1a/N9\nHJ2DAABwgeAEAMAFghMAABcITgAAXHDVOeh0O378uCxatEj27t0rrVu3lvLly5/pUwIAoOgG54MP\nPihz5swx21WqVJFp06ZJ1apVz/RpAQBw5qpqf/jhB+nbt690795dpk6dat++Y8cOOzRVVlaWzJ49\n295fvHixXHPNNdKjRw+ZMmVKuE8bAIDwlzh37twp99xzjxmUr5577jkzbqZp06amWlbHG+rgWlWi\nRAlp3Lixfdxdd91lHzd06FBz38UXXxzO0wcAILwlzt27d9vhZ/ntt9/MT50Hd/LkydKoUSOz//bb\nb8sll1xilz4Dj9u6dWvYzhsAgDMSnDpBfJs2bex9LW22a9fO3q9QoYKULVvWbDunctIw1VKpJSEh\nwe84AAA8EZz/+c9/5J///KcMHz5ctm3bZm4bNWqUvPbaa2a7efPmeSaPz87OtifZtU+yRAnp06eP\n2R44cKBMnz5dypUrJ/v37zfP9fjjj8uCBQtO51sBAOD0tnFu3rxZbrrpJnvC3K+++ko+++wzM+F4\ns2bNzG1Lly7Nc5wVnLoii9NPP/1kfnbq1MkulT7wwAOms5HSuVjHjBljhrEAABBxJc5ly5b5zTKv\nbZkbN2402/Hx8SZA161bZ8Zs5lfiVEuWLLEnmlfHjh0zPW2dvvvuu9P0bgAAOM3BqdWwGo6W6tWr\nS926de197UWrEx4EljqDBefvv/9uOgPp81WrVs3cVrJkSWnbtq3fsc72UwAAIio4dd3OcePGSe/e\nvSUqKkrefPNNs36bsyOQcganrvFmlVKdwWmVLGvVqmXaOy29evUyP/v162de6/LLLz9dbwcAgNM/\njlN7wjZp0sR03Jk3b57Ur1/fvs+aTs9Z3WqVNgOD06qmrV27tt/z65CVihUryiOPPGIW2QYAIOKH\no2gJsX379jJx4kS/sZhWiXPDhg2yZ88es33gwAH7fmfnoGDBuXDhQvnll1+kc+fOhCYAwFvjODt2\n7Ghm/9Ger4HB6fP57OraYCVOq30zMDi1B63q0qVLON4CAADhC86WLVua8Zrjx483vWGVc+UTq7o2\nWHA6q3J14gNnaVM7HFlDWwAA8ExwaqegVq1amZLj559/7lfidFbFOoPTqqq17nOWOF9//XXz86qr\nrjIdjwAA8NyUe1pda3Xo0epZZ3CmpaXJrl27gpY4A4NTS5s6I5Hq1q1buE4fAIDwBqeOudSer9oZ\nSMMvcJFqDcjA4HS2b+rjdcYgq7SpEyEkJyeH6/QBAAhvcOrcsi1atDDbY8eO9StxWsEZ2Ks2sH3z\nm2++sUubXbt2DdepAwBwZlZHsaprV6xYYapnnTQknWM3dTuwmtYqbSqCEwBwJoR11oCLLrrI3v7g\ngw/87tu0aZNkZGScMDh10vj169ebbZ30QJcoAwDA08HpnC5vzZo1ee7XqlhnUFoTIygrNAOfBwCA\ncDoj89RpJ5/Y2Nig95UpU8betiZ0d3KuuAIAQLEIzr/85S9yww03FOpYnff2ySefDPk5AQBQZIPz\nxx9/9Ju31g1tCwUAoFgFp5Ya9V9hVa5cOaTnAwBAQdHLBgAAFwhOAABcIDgBACjqbZx33HGH9O7d\nu1DH6gxDr7zySsjPCQCAIhucOpl7VlZWoY7dt29fyM8HAIAiHZyTJk0y/wqLXrUAgGIRnI0aNbJX\nNwEAIBLROQgAABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAA\nXCA4AQBwgeAEAIDgBADg9KDECQCACwQnAAAuRPl8Pl9+Dzp48KDExcVJdHS0JCUliZdkZmbK0aNH\npXTp0tKgQQPxkvT0dDl8+LCUKlVKEhMTxWu4dpGLaxe5Mj38nZmWliZHjhyRnJwciY2NDU1wAgDg\ndfkFZ7SbJ4uJiZGGDRuKl3i5VOblvwwV1y5yce0iV7qHvzMzMjIkNzc338e5Cs769evLqlWrxEuS\nk5Nl9erV5hcgNTVVvCQlJcX8kmtoeu26Ka5d5OLaRa5kD39n9uzZUzZt2pTv4+gcBACACwQnAAAu\nEJwAALhAcAIA4ALBCQAocpYvXy59+/aV1q1by9NPP21GCBQVrnrVAgAQKjr044svvpDdu3fLFVdc\nITVq1LDve/DBB+WPP/4w29OnT5dGjRrJgAED/I7bs2ePdOrUye+4cCA4AQBnxEMPPSRz584126NH\njzYBmZCQYEqXe/fu9Xvsjh07gh732muvyfvvvy916tQJ23lTVQsACLs//vjDDj+1f/9+U4pUOrnC\nsGHDpFKlSmZfq2tvvPHGEx73+eefh/XcCU4AQNhVrVpVatWqZe9HRUXJBRdcYO9rFexll11mlzAr\nVKhgtqtUqWIHqqVx48YSTgQnACAsNm/ebKa1M+FTooSpZu3Ro4fZ7969u7Ro0cLv8dnZ2fZ86ZaS\nJUvKkCFDzLa2bep2mzZtzP6+fftk3bp1p70jEcEJADitjh8/Lg888IBcffXVJii1BKnri+jc5889\n95wJQw3VQFZw6qTrThqQ6vbbb5dBgwaZ7Tlz5kjHjh3lmmuuka5du9oBfToQnACA02rZsmV+7ZKz\nZ8+WlStX2lW05cuXlzVr1siBAwf8jrP2A4NzyZIl5mft2rXt215++WUz+bzVDjp+/PjT9n4ITgDA\naVWmTJk8t2kHIIsG57Fjx+Snn37ye4wVmIHBqUEcGJyBy4CdzqUwCU4AwGl1wQUXmCpVXZpS3Xrr\nrXLeeefZ91sdfxYvXhy0xOls49QVn3bu3Gmqd2vWrGnfbrV7aki3bNnSvMbpQnACAE67IUOGyPff\nfy9nnXVWnnWdtcQZLDiDlTitalrtGBQdHe0305CaNGmSvPXWW3l63oYSwQkACIuYmBgzJvPtt982\nnYMCS5zaI9bq+KNVt1ZJ01niDNa+qZ2IJk6caNYePuecc077+yA4AQBh06lTJ9mwYYMsXLgwT3Bq\n71ur/dLqURtY4gzWvjl58mQz01CXLl3C8h4ITgBA2LRp08Z0DBo7dmyeqlpndW2w4LTaN5VOzWc9\nbsKECWZbh6GEA8EJAAib+Ph4ufTSS2XFihWydOlSvxKnsyo2WHBa9zlLnFZpUzsbJSUlheU9EJwA\ngLDq2LGj+altnYHBuX79ehOEzjGdJwpOq21TdevWLWznT3ACAMKqQ4cOZsq9b7/9VtauXetXVaud\nhrQk6mzXtDoHWSVUKzinTJlilhbTSRSuuuqqsJ0/wQkACKsqVapIkyZN7FKns8RptXMGlji1fXPX\nrl12dW/p0qXtts2LLroorGtyEpwAgDNWXTt37tw8a29qlWxgG6ezmlY7BlmlzXB2CrIQnACAsGvX\nrp09XvPjjz/2uy8tLU22bNlywuDUyQ3effdde79z584STv8/7QIAAGFSsWJFv0nftc1Tx3Fa7ZwL\nFizwC05n+6bOEmRN6K5O5yxBwRCcAIAz6miQ9TN1FiHL9u3b/e5zhuaZQHACAM5oW2f37t0LdaxW\n57700ksSbgQnAOCMSUxMtNs73dI1PM8EghMAcMa888475l8koVctAAAuEJwAALhAcAIA4AJtnACA\nMyY5OdlMmVcYusSYjgENN4ITAHDGXHrppXL//fcX6thVq1YRnACA4mXmzJl+swK54VxBJZwocQIA\nwi4uLk4eeuihiPzkCU4AQNiVLl1abrjhhoj85OlVCwCACwQnAAAuEJwAALhAcAIA4ALBCQCACwQn\nAAAuEJwAALhAcAIA4ALBCQCACwQnAAAuEJwAALhAcAIA4ALBCQCACwQnAAAuRPl8Pl9+Dzp48KBZ\nOy0mJkYaNmwoXpKeni6HDx+WUqVKSWJionhJZmamHD161Czf06BBA/Earl3k4tpFrnQPf2dmZGRI\nbm6uWSA7NjY2NMEJAIDX5Recrhayjo6OlqSkJPESL5fKvPyXoeLaRS6uXeTK9PB3Zlpamhw5ciTf\nx7kKzjp16khqaqp4SUpKigkY/QVYtWqVeElycrKsXr3ahKbXrpvi2kUurl3kSvHwd+a5554ra9eu\nzfdxdA4CAMAFghMAABcITgAAXCA4AQBwwVXnIJyaH3/8Ub788ks577zzTAN7VFQUHykARBiC8zQ4\nfvy4lCjhX5ifOXOm9OzZU6xhsw8++KA8//zzfo/R+whTACjaqKoNoaysLOnQoYMZN9m8eXMzJsgy\nadIkOzTVhAkT7O2dO3dKx44dzTjZFi1ayPr160N5WgCAECI4Q2jw4MEyf/58U+JctmyZ3HvvvfZ9\nPXr08CtNdunSxd7+61//KvPmzTPHLV26VO6+++5QnhYAIIQIzhA6cOCA3/7evXvt7UGDBsn48ePN\n9q233irjxo2z79uzZ4/fcbt37w7laQEAQojgDKGHH35YKlSoYLa1unbo0KF+95cvX978rFSpkl8b\n6AMPPGDv60T6jz32WChPCwAQQgRnIe3YsUP+8pe/mDbNF154wVSztmzZUrZt22aqZbU98+KLL/Y7\nZv/+/UFLpvocGqq68szGjRtNj1v1xhtvSOfOneWWW26RLVu2FPZUAQAhRK/aQho4cKDMnTvXbGu7\npq4ec9ddd5kZ9XVOX12a5ttvv5WuXbvax+zbty9ocP7888+merZdu3aSkJBgbps2bZrceeed9mNW\nrlwpS5YsKezpAgBChBJnIWknnsAxmpbKlSubn9rhpyAlTg1eVa9evRM+//Lly82KBACAM4vgLKS+\nffva29pbtk+fPvkGp1XizM7ODhqc9evXt2+79tprpUyZMvZ+v379TLspAODMIjgLacyYMTJlyhSz\ndJdW0fbq1StPcGop0dmzNliJU9tGv/nmmzzBeeGFF0q1atXk0ksvNUuC6ThQAMCZR3AWkk5WMGDA\nADO0ZOrUqX6lSCs4jx07Zofiido4rfbNwODUoSu6YKyODdVQLlmyZGFPFQAQQgTnKdIesLt27ZI3\n33wzT3AGVtcGK3Fa1bRa3Vu3bl2zrW2Zzz33nOlwpNP0AQCKDoLzFGnYNW3aVEaOHClHjhw5aXAG\nK3FawVmzZk27TfOdd96RjIwMufrqqyU+Pv5UTxEAEEIEZ4hKnVu3bpWJEyfmCU5nVaxV4rSqdYO1\nb1qlTdW/f/9QnB4AIIQIzhCwJizQ1U40DHX2IKtNUvcXLlyYp1etTpAQrH3z3Xfflc2bN5sJEZxj\nQAEARQPBGQLaA1aDT1c1+eijj0x7ZcWKFfNU11olTg3NnJwcu5rWGsOpkyZYpc3evXtL6dKlQ3F6\nAIAQIjhDxBqOYs1P66yutQLSKnFa7ZzO4NTg1bbNTZs2mX3tsQsAKHoIzhDREqL66aefZM6cOX7B\nqdPl6VqdziErGqLOoSqJiYl2abNq1arSqVOnUJ0aACCECM4QadWqlQk8q9TpDE6tmp01a5Zp77Qs\nWrTIb/kwDVGrtKmzBDFuEwCKJoIzVB9kiRJy0UUXmW2tgt2wYYPf/Z9++qnf/syZM/0mU3Cuz6mr\nrAAAiiaCM4S0U5Bl7dq1fvd98cUXfvtanWvRTkHakzbY8wAAihaWFQsxXYjaKnkWhg5RAQAUXQRn\niGk75w8//FDo4xs3bhzS8wEAhBbBGWJ79uyRe+65p9DH//HHHyE9HwBAaBGcIaZDTl577bVQPy0A\noIigcxAAAC4QnAAAuEBwAgDgAm2cIZaQkOA3JtOt888/P6TnAwAILYIzxA4ePCipqamFPt5aQQUA\nUDQRnCEewxkbGyv33XdfoZ9DZw2Kj48P5WkBAEKI4AyhiRMnhvLpAABFEJ2DAABwgeAEAMAFghMA\nABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBwgeAE\nAMAFghMAABeifD6fL78HHTx4UOLi4iQ6OlqSkpLESzIzM+Xo0aNSunRpadCggXhJenq6HD58WEqV\nKiWJiYniNVy7yMW1i1yZHv7OTEtLkyNHjkhOTo7ExsaGJjgBAPC6/IIz2s2TxcTESMOGDcVLvFwq\n8/JfhoprF7m4dpEr3cPfmRkZGZKbm5vv41wFZ/369WXVqlXiJcnJybJ69WrzC5CamipekpKSYn7J\nNTS9dt0U1y5yce0iV7KHvzN79uwpmzZtyvdxdA4CAMAFghMAABcITgAAXCA4AZjOHgXpFAGA4ASK\nvcGDB0vZsmWlfPnyMmLEiGL/eQD5ocQJFANr1qyRIUOGyLBhw2TPnj327fPmzZN///vfZtiSjl17\n6KGHZOPGjfb9a9eutY/bvXv3GTp7oGhxNRwFQORZv369XH755XZgTps2TZYtWyZRUVGmijaQdZse\nd9lll9nHTZ06VZYvXy4lSvD3Noo3/gcAHjdr1iy/UqaGn1Wq7NKli4wcOVJKlixpqmvHjh0r5557\nbtDjVq5cKRs2bDgD7wAoWghOwOM6depk5pm2nHPOOVKvXj17/4EHHjDBqQPab7nlFvv2Vq1amVKp\npU6dOmYSFKC4IzgBj9m1a5d8+umnZnYXdcEFF8gXX3whXbt2NfsvvviiX3WrVs3qxNYHDhzwe54W\nLVrI9ddfb7b79u0rc+fONdOsHT9+XL755hvTPkpPXBRHBCfgIVqdqlMs9urVS84//3x5+eWXze0d\nO3aUO+64w2xr+6bTvn37zM/A4FTW9GPjxo0zJVVdE0IDuG3btuY5W7dubUIXKE4ITsBDRo0aZbdL\nasg999xz9n2VK1c2P7Wk6LR//37zMzs72+927WW7ZMkSc1y5cuXMbbo/Z84c+zE//vijKc0CxQnB\nCXhIrVq1/ParVKmSJzi///57v960Vonz0KFDcuzYMfv27777zgxTcbaH1qhRw7SHOmnbJ1CcEJyA\nh/ztb3+Tfv36mckMqlevLpMmTcoTnBqQP/zwQ54SZ2B17fz5881PZ4cg7UCkEyaoCy+80JRwmzZt\neprfFVC0EJyAh+iQEh2n+eGHH5oJC7SEaKlUqZLdS9ZZXWuVOAsSnFoinTFjhgnNFStWyN13333a\n3xNQ1BCcgAe1a9dO4uPjTQ9aiw5JsdoqrVA8UYnTat8MDM7JkyebsZwDBgwIy/sAiiKCE/AgDcke\nPXrIG2+8YYanBFbXalXtwYMH85Q4rQ5CVvumsto4tbT57LPPmu3rrrsujO8GKFoITsCjUlJSTAlS\n2yEDg1M7B2knoROVOJ0lUqvEOWXKFHsavrp164btfQBFDcEJeJROpxcbG2smcbdKklZwOts5g7Vx\nWsGpJVftEKSlzWeeecbc1r9//7C+D6CoITgBj4qLi5Mrr7xSdu7cKW+99Vae4LTCMbDE6Wzf1KEm\nGp46wbuWNnXGoWuvvTbs7wUoSghOwOPVtUonctc2S2dw6uQFGpKBJc7A9k2dYs8qbbZv396vpy5Q\nHBGcgIddffXVZsKCLVu2mDGdzuDUcNSQdJY4tUo3sH1TS5vr1q0z+1TTAgQn4Gk6c5DOJ6uGDx8u\nFStW9LtfQzKwxOkMTu0EZJU2dYJ3newdKO4ocQIe161bN/NTS40LFizwu087CDlLnNu3b7fbN63q\n3LVr19pjQ3USBaC4IzgBj7MmPVC63JiThuRvv/1m7+uE7Vb7ppo9e7a9rdP4ASA4gWLFGYpK19Pc\nuHGjvb9mzZo89wPw9//LwgPwtPHjx0vjxo0Ldezo0aNND1wABCdQbFSoUMFvmTG3Y0IJTuC/KHEC\nxUTv3r1P6Xh61AL/RecgAABcIDgBAHCB4AQAwAXaOIFiYvDgwVK7du1CHTtr1qyQnw8QqQhOoJgY\nNGiQNG/evFDHZmVlSVpaWsjPCYhEBCdQTHTv3t3MN1sYOp9t586dQ35OQCQiOAGP08CbPn36KT9P\nYat5Aa8hOAGP06XB9B+A0KBXLQAALhCcAAC4QHACAOACwQkAgAsEJwAALhCcAAC4QHACAOACwQkA\ngAsEJwAALhCcAAC4QHACAOACwQkAgAsEJwAALhCcAAC4EOXz+Xz5PejgwYMSFxcnMTEx0rBhQ/GS\n9PR0OXz4sFngNzExUbwkMzNTjh49KqVLl5YGDRqI13DtIhfXLnKle/g7MyMjQ3JzcyUnJ0diY2ND\nE5wAAHhdfsHpaiHr6OhoSUpKEi/xcqnMy38ZKq5d5OLaRa5MD39npqWlyZEjR/J9nKvgrFOnjqSm\npoqXpKSkmIDRX4BVq1aJlyQnJ8vq1atNaHrtuimuXeTi2kWuFA9/Z5577rmydu3afB9H5yAAAFwg\nOAEAcIHgBADABYITAAAXXHUOAk5k69at8t5775nedn369JGzzz6bDwuAJxGccGX37t0SFRUlFSpU\n8Bvne+ONN8r27dvN/scffyyffPKJ1KhRw37Mrl27pGTJklK+fHk+cQARjapaFIjOkzF8+HBp166d\n+afblnXr1tmhaQ0e/umnn+zjRowYIe3bt5e2bdvKsGHD+MQBRDSCEwWydOlSmTRpkgnC48ePm+01\na9bYY5+aNGliP7ZWrVpyySWX2MdNmDDBPm7y5Mnyyy+/8KkDiFgEJwpEZx/K88tT4r+/PjqDiIaj\nTpChUzNqNW2VKlXMfVqtCwBeQnCiQJo2bSr9+/c30y6qAQMGyDnnnGPfr+2X2jFIp6sqU6aMfXuz\nZs2kVatW9v4111wj559/Pp86gIhFcCIPrVYdM2aMdO/e3XT6+c9//mNuf/TRR+Wdd94x28E6+WRn\nZ5uVBTRALVritHrYvvbaa/Lkk0+a7WXLlskNN9wgPXv2lHHjxnEVAEQMghN5zJ49W0aPHm0mc16+\nfLncd999cuzYMXNfxYoVzc8lS5bkOU47BTl/WrSdU1klVJ14fvDgwbJixQrZtGmTvPTSS7Jw4UKu\nBICIQHAijy1btvjta49ZKwytkubKlSvl0KFDfkNSrHB1BqduayciXcu1WrVq5rb9+/fL3r17/V7j\n119/5UoAiAgEJ/Lo0qWLnHXWWfa+VtmWLVvWbJcrV85uz9QSo7Oa1uIMTq2S1epb7WlrdRTSjkP6\nnBYN1M6dO3MlAEQEghN56DJkM2bMMNWpupirtm1aNPw0PAOra08UnNZjateu7fcaNWvWNL1yX331\nVfNaVatW5UoAiAgEJ4LSUuGf/vQn04t22rRpfvdZ1bUnCk6ttg1s33QGp1bTTp06VZo3b24mRtAh\nLAAQKQhOnHTsZuvWrWXixImmQ4/Fmm5Pe9tapctgJU6rfTMwON99913zeK0SBoBIQ3DipDp16iQ7\nd+6U1NTUPMGpbZdWO2ew4LTaN53BqaXNKVOmmJLslVdeyacPIOIQnDipNm3amB6x48ePt3vNOsdw\nWtW1Bw4cyBOczqpcKzit0uZll13mN1E8AEQKghMnpe2PLVu2NMuG6fhO5Qy8xYsXBx2C4mzftILT\nKm2qrl278skDiEgEJ/LVsWNH8/Ptt982swo5g3P16tUmKANLnM72TZ00IT4+3i5t6ty21nMCQKQh\nOJEv7fmqQ0fS0tLMDD/Oqlptw9QlxAJ71TrbNxMSEuyetEqXF9MgBYBIRHAiX5UrVzaTvKuxY8fm\naZvU6trAzkGB7Zu6eopVKqWaFkAkIzhRIFbVqvai1ZKnk4ZkYHA62zd1wgSrbVNLmlriBIBI9d81\nooB8NGjQwN7+6KOP/O7TtkxrSj6VlZVlt2+q+fPn26XNpKQk08YJAJGKEidc+/333/32dZiKtmla\nnO2b1iTxAOAVlDjhykUXXSTVq1cv1KemK6Bor1wAiGQEJ1wZNGhQoVcy0TlvP/zwQz5xABGN4IQr\nOpbzk08+KdSn9ttvv5n5bwEgkhGccEUnPDgV5513Hp84gIhG5yAAAFwgOAEAcIGqWrii0+0Vdhym\nc4FrAIhUBCdceeKJJ+hVC6BYIzjhyoIFC2Tbtm2F+tRWrlzJpw0g4hGcKBCdb1YnP9BJDPRfYTVu\n3JhPHEBEIzhRIE2aNDErnABAcUevWgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMAF\nghMAABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBwIcrn8/nye1BOTo7Ex8dLyZIlJTEx\nUbxE15bMzc2VmJgYqV+/vnjJxo0b5ciRIxIdHS116tQRr+HaRS6uXeT61cPfmenp6XL06FHJzs6W\nuLi4UwvOXbt2SeXKlUN9jgAAFDk7d+6USpUqnVpwHj9+XPbs2SNlypSRqKioUJ8jAABnnMbhoUOH\npEKFClKiRIlTC04AAPBfdA4CAMAFghMAABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAApOD+D43k\nbO+d4xoGAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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YIxcAAE8Hpw47cQ49cat27dpBPR8AAIrlcBQAAMIdwQkAQHGvqm3durXExcUV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\nAsEJAIALBCcAAFJw/x9DpnLXpw/MRQAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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JDc5hw4adUq/am2++OezHBABAiQ3Ot956S7755psi7fvzzz+H/XgAACiRwVmz\nZk254447Tuk16tatK5dddlnYjgkAgBIbnBp6zz//fCTfEgCAsKJXLQAAHhCcAAB4QHACAOABwQkA\ngAcEJwAAHhCcAAB4QHACAOABwQkAgAcEJwAAHhCcAAB4QHACAOABwQkAgAcEJwAAHhCcAAB4EBMI\nBAIFbXTw4EFJSEiQuLg4ad68ufhJRkaG5OXlSbly5SQ5OVn8JCsrS44cOSLly5eXZs2aid9w7aIX\n1y56Zfj4OzMzM1OOHj0qubm5Eh8fH57gBADA7woKTk83so6NjZVGjRqJn/i5VObnvwwV1y56ce2i\nV5aPvzM3bNgghw8fLnA7T8HZsGFDSUtLEz9JTU01AaO/AOnp6eInKSkpsnr1ahOafrtuimsXvbh2\n0SvVx9+ZrVq1kjVr1hS4HZ2DAADwgOAEAMADghMAAA8ITgAAPPDUOQg4Ee1l9+WXX5qfF198McOX\nAPgWwYlTdvz4cRk2bJisXLnSrDdu3Fjef/99whOAL1FVi0KbO3eu9OvXz3RH12WLDnmxQlNt3rzZ\nlD4t8+bNM/sNGDBA5syZwycOIKpR4kShrF+/Xu69915TulT33XefnHXWWZKUlGT+Va9eXXbt2mWe\nc07NqPvdc889rv3atGljxgQDQDSixIlC2b59ux1+Sudz/O2338xytWrVTNVs7dq1pUKFCvLee+/Z\nM4r88ssvrv2OHTtmHgOAaEVwolDOP/98MxOR5cILL5Szzz7bXq9bt66Z2k9D8owzzrAf79Chg2nz\ntLRu3VrOPfdcPnUAUYvgREj//ve/5f7775cxY8aYKlgNxcmTJ8sjjzxinu/cubOZu9gpJyfHzPOo\npVGLTpR85ZVXmuWRI0fKpEmTzGtlZ2fLc889Jw8//LAsX76cqwAgatDGiXy+/fZbufXWW8W6cc6S\nJUtM9asG3jnnnGMe07D74x//mC84rbvpVKpUyfV6qlevXqYqV0ulN998s5nvUs2YMUPeffddadmy\nJVcDQIlHiRP5fPPNN3ZoKp3Iee/evWa5SpUq5ueKFStMe6VFx2/qP+uWPM7Hv/vuOylbtqypzrXa\nS63QVFpC1XAGgGhAcCKfjh07SkxMjL2uJUErMPWnPrd//37XXQQOHDhgLzuDU0NXS6BWG6jSZb0L\ngUWrfLXNFACiAcGJfM477zx59dVXpXv37qaNcty4ca6Qq1ixolletmxZgcFpbaNDVpz69+9vft50\n000yZcoUOfPMM7kSAKICwYmQOnXqJI8++qipRl28eLHrOav0uXTp0pBhGSo4GzRo4Kq+1U5COtbz\nb3/7m6u3LgCUdAQnTkhLljoMZcKECa42z6pVq9qdfqx2TmeJU6tmne2bwcH50UcfmbGcvXv35tMH\nEHUITpxU165dZcOGDfLFF1/kK3FqL1qdbs9aDi5xWu2bzuDUMNUgVj179uTTBxB1CE6cVJcuXUxn\noPHjx+crcTqra53BaYWlsw3UauPU0ubPP/9sputj2j0A0YjgxEnVqlXLhNyqVavsiQqcwWmFY6gS\npzM4tcRJaROAHxCcKFR1rbJKnVZVrdXOqR2IgoPT2b6ZkJBgJoFPS0szpc0yZcrIFVdcwScPICoR\nnChQt27dzM+vv/5afvrpJ1eJU6tlf/zxx3zBGdy+qUFqBa8Od6lTpw6fPICoRHCiQDpJe9OmTc2y\nduxxBqdVJRvcqza4fVOn1dPSpjX1HgBEK4ITnqprP/vsM3v6PWcHoeBxnM7g1JmCrNKmTqCgEysA\nQLRikncUinUrMJ2gffr06a7ntONQYmKivb5v3z67fdOa13bbtm1mWSc90Pt3AkC0osSJwv2ilPn/\nXxVt53QKrprVoLTaN9W6detCvg4ARCNKnPBEe9SWL18+5HN6yzBL7dq18z3vDFMAiFYEJzx58MEH\npUePHkX61KZOnSrTpk3jEwcQ1QhOePKvf/1LsrKyivSp/fDDD3zaAKIewQlPZs+efUqfWOvWrfnE\nAUQ1emoAAOABwQkAgAcEJwAAHtDGCU/uv/9+ueiii4rcPjp//nw+cQBRjeCEJ/v375fs7OwifWrO\n+WwBIFoRnPBk7Nixp/SJ0asWQLQjOFEoWj3LOEwAoHMQAACe0KsWAAAPCE4AADwgOAEA8IDgBADA\nA4ITAAAPCE4AADwgOAEA8IDgBADAA4ITAAAPCE4AADwgOAEAIDgBACgelDgBAPCA4AQAwIOYQCAQ\nKGijgwcPSkJCgsTGxkqjRo3ET7KysuTIkSNSvnx5adasmfhJRkaG5OXlSbly5SQ5OVn8hmsXvbh2\n0SvLx9+ZGzZskMOHD0tubq7Ex8eHJzgBAPC7goIz1suLxcXFSfPmzcVP/Fwq8/NfhoprF724dtEr\nw8ffmZmZmXL06NECt/MUnE2bNpX09HTxk5SUFFm9erX5BUhLSxM/SU1NNb/kGpp+u26Kaxe9uHbR\nK8XH35n9+vWTTZs2FbgdnYMAAPCA4AQAwAOCEwAADwhOAAA8IDgB+JaOyxsyZIh06tRJ7rnnHsnJ\nyTndhwQfIDgBRL3PP/9cJk2aJJs3b3Y9/tBDD8n3338v+/fvl7lz58rrr7/uen7+/Pny1ltv5dsP\nCNtwFAAoaZ588kmZMmWKWX7hhRdMEOqQCZWdne3adseOHSH3Gzt2rLz55pty1llnRfTYEZ0ocQKI\nWseOHZN3333XXtfp0mbOnGmvP/bYY1KvXj2z3LZtWxkxYsQJ95sxY0ZEjx3Ri+AEELXKli1rly4t\nZ599tr3cvn176dWrl1m+/fbbpX79+vZ+wbNptWzZMiLHjOhHcAKIKtu2bTOdfixPP/20XH311eYm\nFB06dJArr7zStb3VIUjn3Hb6+9//bn5Wr15d/vKXv8jAgQPteUrXrFmTb3vAQnACiBqPP/649OzZ\nUwYMGCDDhg0zczFrKVI7AdWqVStkJx8rODUQnfbt22d+XnPNNTJ8+HApU6aMLFu2TC6//HLzWPfu\n3U3HIiAYwQkgam5a4GyXXLp0qSxYsMBer1q1qun8EzzX6IEDB0IGp4akatCggf3Yyy+/bHrgqr17\n95p1IBjBCSAq6F1+YmJiXI/pHTosVapUcQWixQrM4OBcvnx5vuAMvpVUYmJi2I4f/kFwAogKderU\nkTvuuMMON737zyWXXOIqcYYKzlAlTq2mXbt2bb7g1EkSNJw1kLUX7p133lnMZ4VoRHACiBrarrlk\nyRJzS6smTZqY3rGFLXE6O/usWLFCjh8/bu4xXLt2bfvxVatWSSAQkOeff96M8WzYsGEEzgrRhuAE\nEFW0RNilSxeZPHmyGX8ZXOLcuXOnbNy48aQlTitctWORdgqyxnbqzEL6OhdeeGHEzgfRh+AEEHW6\ndetmZgVy3kjZCk6r49DJhqNY7ZtJSUn2Y7NmzTIdkLRXrbPtFAhGcAKIOtr+WKNGDXnjjTdMSdFZ\nVesMTq2OtQLTKnGGat+0Spuqd+/eET4bRBuCE0DU0erVyy67TLZu3Wombw8ucWqJUtsqnXdDsYLT\nat90BqeWNjMzM017Z7t27SJ8Nog2BCeAqNS1a1fzc+LEifmCc/fu3WZ2oVDB6ew8pMHpLG326NHD\nbvMEToTfEABRqWPHjmac5bp162TRokWu4LSqa53BaVXZWu2bVnDOnj3blDaVNa8tcDIEJ4CopENJ\nLrroIrM8fvx4VxunVbK0etRaJU5n+6bSO6dYpU3tKOScIB44EYITQNRX165cudKUPJ3jOrUtMzg4\nne2bGrRaUrXmt6W0icIiOAFELZ05yGqTnDBhgqvUuWfPHhOozuB0tm/qGM7XXnvNXtf2TaAwYgu1\nFQCUQBUrVjS3E9OJEL766iszn63TwoUL7eVDhw65glMnScjLy7PXq1WrFqGjRrSjxAnAN5xBqJzt\nmTo8Re+zeaJtgcKixAkg6p133nkyZMiQIu2rtxF7+OGHw35M8C+CE4Av7pxy6aWXFmlfndsW8ILg\nBBD15syZY/4BkUAbJwAAHhCcAAB4QHACAOABbZwAol6TJk2kc+fORdpX57CdNm1a2I8J/kVwAoh6\nrVu3lnvvvbdI++oNsQlOeEFwAoh6ixcvLvI4ziNHjoT9eOBvBCeAqHbXXXeZe2qeir59+0rlypXD\ndkzwN4ITQFS7/vrrT/choJShVy0AAB4QnAAAeEBwAgDgAcEJAIAHBCcAAB4QnAAAeEBwAgDgAcEJ\nAIAHBCcAAB4QnAAAeEBwAgDgAcEJAIAHBCcAAB4QnAAAeBATCAQCBW108OBBSUhIkLi4OGnevLn4\nSUZGhuTl5Um5cuUkOTlZ/CQrK8vcpLd8+fLSrFkz8RuuXfTi2kWvDB9/Z2ZmZsrRo0clNzdX4uPj\nwxOcAAD4XUHB6elG1rGxsdKoUSPxEz+Xyvz8l6Hi2kUvrl30yvLxd+aGDRvk8OHDBW7nKTgbNmwo\naWlp4iepqakmYPQXID09XfwkJSVFVq9ebULTb9dNce2iF9cueqX6+DuzVatWsmbNmgK3o3MQAAAe\nEJwAAHhAcAIA4AHBCQCAB546B+HULFmyRD7//HNp3bq1aWCPiYnhIwWAKENwFoPjx49LmTLuwvys\nWbOkX79+Yg2bveeee+Spp55ybaPPEaYAULJRVRtG2dnZ0qVLFzNusn379mZMkGXKlCl2aKq33nrL\nXt65c6d07drVjJPt0KGDrFu3LpyHBQAII4IzjO644w5ZuHChKXGuWLFCRo4caT/Xp08fV2myZ8+e\n9vJf//pXWbBggdlv+fLlMmLEiHAeFgAgjAjOMDpw4IBrfe/evfby0KFD5Y033jDLN998s0ycONF+\nbs+ePa79du/eHc7DAgCEEcEZRvfdd59UrVrVLGt17ejRo13PV6lSxfysXr26qw30b3/7m72uE+nf\nf//94TwsAEAYEZxFtGPHDvnLX/5i2jSfeeYZU83asWNH+fnnn021rLZnnnfeea599u/fH7Jkqq+h\noap3ntm4caPpcavGjRsnPXr0kGHDhsnWrVuLeqgAgDCiV20RDRkyRD777DOzrO2aeveY4cOHmxn1\ndU5fvTXNV199Jb169bL32bdvX8jgXLVqlamevfTSSyUpKck8NnXqVLntttvsbb7//ntZtmxZUQ8X\nABAmlDiLSDvxBI/RtNSoUcP81A4/hSlxavCqJk2anPD1V65cae5IAAA4vQjOIrrqqqvsZe0tO3Dg\nwAKD0ypx5uTkhAzOpk2b2o9de+21UqFCBXv9mmuuMe2mAIDTi+AsoldeeUXeeecdc+suraLt379/\nvuDUUqKzZ22oEqe2jX755Zf5grNt27ZSu3ZtueCCC8wtwXQcKADg9CM4i0gnKxg8eLAZWvLuu++6\nSpFWcB47dswOxRO1cVrtm8HBqUNX9IaxOjZUQ7ls2bJFPVQAQBgRnKdIe8Du2rVLXnvttXzBGVxd\nG6rEaVXTanVv48aNzbK2ZT7++OOmw5FO0wcAKDkIzlOkYXfOOefIs88+K4cPHz5pcIYqcVrBWa9e\nPbtN880335TMzEzp27evJCYmnuohAgDCiOAMU6lz27ZtMnny5HzB6ayKtUqcVrVuqPZNq7SpBg0a\nFI7DAwCEEcEZBtaEBXq3Ew1DnT3IapPU9UWLFuXrVasTJIRq35w0aZJs3rzZTIjgHAMKACgZCM4w\n0B6wGnx6V5Pp06eb9spq1arlq661Spwamrm5uXY1rTWGUydNsEqbAwYMkPLly4fj8AAAYURwhok1\nHMWan9ZZXWsFpFXitNo5ncGpwattm5s2bTLr2mMXAFDyEJxhoiVE9e2338q8efNcwanT5em9Op1D\nVjREnUNVkpOT7dJmrVq1pFu3buE6NABAGBGcYdK5c2cTeFap0xmcWjX7ySefmPZOy+LFi123D9MQ\ntUqbOksQ4zYBoGQiOMP1QZYpI+eee65Z1irY9evXu56fOXOma33WrFmuyRSc9+fUu6wAAEomgjOM\ntFOQZc2aNa7nPv30U9e6VudatFOQ9qQN9ToAgJKF24qFmd6I2ip5FoUOUQEAlFwEZ5hpO+c333xT\n5P1btmwZ1uMBAIQXwRlme/bskdtvv73I+//2229hPR4AQHgRnGGmQ07++c9/hvtlAQAlBJ2DAADw\ngOAEAMADghMAAA9o4wyzpKQk15hMr9q0aRPW4wEAhBfBGWYHDx6UtLS0Iu9v3UEFAFAyEZxhHsMZ\nHx8vd955Z5FfQ2cNSkxMDOdhAQDCiOAMo8mTJ4fz5QAAJRCdgwAA8IDgBADAA4ITAAAPCE4AADwg\nOAEA8IDgBADAA4ITAAAPCE4AADwgOAEA8IDgBADAA4ITAAAPCE4AADwgOAEA8IDgBADAA4ITAAAP\nYgKBQKCgjQ4ePCgJCQkSGxsrjRo1Ej/JysqSI0eOSPny5aVZs2biJxkZGZKXlyflypWT5ORk8Ruu\nXfTi2kWvLB9/Z27YsEEOHz4subm5Eh8fH57gBADA7woKzlgvLxYXFyfNmzcXP/FzqczPfxkqrl30\n4tpFrwwff2dmZmbK0aNHC9zOU3A2bdpU0tPTxU9SUlJk9erV5hcgLS1N/CQ1NdX8kmto+u26Ka5d\n9OLaRa8UH39n9uvXTzZt2lTgdnQOAgDAA4ITAAAPCE4AADwgOAEgiumoh+PHj5/uwyhVCE4AiELa\nY/66666TxMREqVGjhkyZMuV0H1KpQXACQAn2zTffyF133SVjx46VQ4cO2Y9rUE6dOlV0KP6ePXvk\nz3/+s+Tk5NjPL1261Oz3wgsvuPbDqfM0HAUAEDlffvmldO/e3YybVAsWLLCHgFiPWY4dO2aPQfzq\nq6/k8ssvt7f57LPP5OOPP+bShQklTgAooaZNm+YKyJkzZ5oqWnXzzTfL3XffbZbr1q0rH3zwgVSp\nUsWsf/jhh679Zs2aRakzjAhOACihrrjiCte6liJ1xh6lc4ePGjXKLLdr184M3rdcdNFFrv06duwo\nFSpUiMgxlwYEJwCUENu2bZMZM2bI5s2bzXqvXr1MqbNTp05m/fnnn3dtv3//fvPzwIEDrsevvvpq\n6dy5s1nWts/p06ebZZ3AfP78+bJ48WLTNoqiITgBoASYN2+emQtcp8o844wzTHWrGjhwoFx77bVm\necWKFa599u3bFzI4lYZvtWrVZNy4cVKvXj0zcfn5559vSq0aqvq6KBqCEwBKgGeeecZuh9ROPk89\n9ZT9nA43sToHhSpxOnvTqvXr15vSq84v7mznXLVqlb2unYx++OGHYjobfyM4AaAEqF+/vmu9Zs2a\n+YJz4cKFhSpxWts1adLEfqxBgwaubbStVDsVwTuCEwBKgMcee8x0BtIJDVq0aCH//Oc/8wWn3rlD\nb31VUBunFZzOEqe2k2r1bNmyZaVDhw7yzjvvSK1atYr9vPyI4ASAEiApKUnmzp1rJjrYtWuXqzRo\nBWdwde2JSpxffPFFvuDUbXXfPn36mMkRtAMRiobgBIASRIeV7Ny5UyZMmBAyOJ3VtVaJU9tErXGb\nVvtmcHBqj9zdu3fL4MGDI3IefkZwAkAJotWn2utVOwtZMwHpxAY6bvNEJU5nByFnsFptnLqdBqdW\nA/ft2zdi5+JXBCcAlDA6JEXbMrUdUsXExJihJSorK0s2btzoKnE6q2ut4NS2zEaNGpllrf7V0qaW\nZhMSEiJ+Pn5DcAJACTNgwADz88knn7QnKgjVzukscVrBabVvai9a7Tmr24wZM8Y8NmjQoAiehX8R\nnABQwmgV69lnny2rV682MwmdqJ0zuMQZqn1T746ipc2qVatKz549I3wm/kRwAkAJra5VTzzxRKFL\nnMHtmxqsVmlTh6LExcVF7Pj9jOAEgBIcnEuWLDFB6QxOLVVq6dJZ4tTOQc7g1BKnljZ1aIuimjZ8\nCE4AKIHOPfdcady4sVkePXq0KziVhmRwidNq37R65z733HNmuXbt2tK1a9eIHbvfEZwAUELp3VGs\nG1HrrEFOWgp1ljhXrlxpt29ac9NapU3tTau9bBEe/xkYBAAocSpXruy6iXVwidM5ubsGpdOcOXPs\nZesG1wgPghMAosCRI0dc67/88otr/aeffnKtW5MnIPwITgAo4XQO26KWGh944IGwH09pR3ACQAlX\nvXp1e+Ygr8qXLx/24yntCE4AKOHOP//8U9q/ZcuWYTsW0KsWAABPGI4CAIAHBCcAAB7QxgkAJdwj\njzxS5NuBvf3222E/ntKO4ASAEm748OFSs2bNIu27fPnysB9PaUdwAkAJp7cYK1OmaC1rOu2eBi/C\nh+AEgBJq6NCh0r59+1N+nRYtWoTlePAfBCcAlFBt2rQx/1Cy0KsWAAAPCE4AADwgOAEA8IDgBADA\nA4ITAAAPCE4AADwgOAEA8IDgBADAA4ITAAAPCE4AADwgOAEA8IDgBADAA4ITAAAPCE4AADyICQQC\ngYI2OnjwoCQkJEhcXJw0b95c/CQjI0Py8vKkXLlykpycLH6SlZUlR44ckfLly0uzZs3Eb7h20Ytr\nF70yfPydmZmZKUePHpXc3FyJj48PT3ACAOB3BQWnpxtZx8bGSqNGjcRP/Fwq8/NfhoprF724dtEr\ny8ffmRs2bJDDhw8XuJ2n4GzYsKGkpaWJn6SmppqA0V+A9PR08ZOUlBRZvXq1CU2/XTfFtYteXLvo\nlerj78xWrVrJmjVrCtyOzkEAAHhAcAIA4AHBCQCABwQnAAAeeOocBMB/1q5dK9OnTze9JK+77jpJ\nSko63YcElGgEJ1BK7Nixw4xNq1ixov3Yr7/+Kn/4wx/MuDU1e/ZsmTVrlmsM2/bt2804bud+QGlG\nVS3gczrm7u6775auXbvKxRdfLJMmTbKf+/bbb+3QtEJSS6DWfv/1X/8l3bp1k0suuUTeeOON03L8\nQElDcAI+98knn8inn35qlnU6sTFjxsiuXbvMeseOHV2Tmug4tpYtW9r7zZkzxw7R559/XrKzs0/L\nOQAlCcEJ+JzOHBWsbNmy5mf16tVl2rRppn2zcePG8s4770iFChXMczExMa59CjE7J1AqEJyAz/Xo\n0cNUt1phOWrUKKlSpYorWHWasePHj5tpNS1XXHGFtGjRwiyXKVNGbr/9dqlZs+ZpOAOgZCE4AR/R\nKtXRo0dLz5495dZbbzV3e9Aw1GpWfVxVrlzZtU9OTo4pTerNHJysUqjSXrd//vOfzfL8+fPl2muv\nlauuukpmzJgRsXMDSgqCE/AR7fij1a3btm2TxYsXy3333Wc/V7VqVfNz+fLl+YJTOTsJWVasWGFK\npE2aNLE7D2lHo59++knWrVsnDzzwgKxfv76YzwooWQhOwEe2bt3qWt+8eXO+4Fy6dGnI4AwucW7c\nuNF0BtJxnVpVaw1f0Q5GFi2pakgDpQnBCfhI//79XZ2BBg0alC84Nfy2bNmSLzi1jdMZnsuWLTM/\nnRMitG7dWtq3b2+v643tL7jggmI7H6AkIjgBHzn33HNl5syZMnToUKlbt66MGDHCfs7ZIcgKRXXg\nwAF72Vlda23ToEED+zFtL61Vq5ZUqlRJJk6cKFOnTj3pDX8BPyI4AZ/RoBs2bJhpj/zss8/sx3X2\nn7i4uHzVtc6wdJY4rbZQZ3Bq9a2OCdVeuh06dAg51AXwO4IT8CEdNnLWWWfJhAkTXI9b1bUFlTg1\nIHfu3JkvOMeNG2eqdHv16lXs5wCUVAQn4FNaKtS72X/55Zf5qmu1NGp1HLLaOJ3B6QxWq41z06ZN\nMnfuXDNpAu2aKM0ITsDHwanGjx+fr8TpDMeCgtMqcb766qumtNm9e3d7MgWgNCI4AZ9KTk42vV51\nIveVK1cWKjitNk6rfVNLqNoRyCptqt69e0f0PICShuAEfKxLly6uUmeonrXBJc5Q7ZtW26b21NWe\nu0BpRnACpaC6dtGiRWamH2eJUyc30JAMLnEGt29qW6hV2tSp/IInfwdKG4IT8LGUlBRTSlTaw9YZ\nnEpDMrhXbXD7ppY2jx07ZgcnUNoRnEApqa7V8Zf79+93PafjOZ3jOHXZOZetBqZ1T069b6cGMVDa\nEZyAz2kHISsEg+9moiHpLHH++OOPdvum0tC0SptnnnlmxI4ZKMn+/+Z7AHxP56l12rVrlys4gyeA\n1/GeANwITqCU6NSpU757cRaWdiwC8B8EJ1BK/PWvfy1yG+WYMWNcd1QBSjOCEyglnnrqKalYsWKR\n9tUJEFq2bBn2YwKiEcEJlBI6g9CpIDiB/6BXLQAAHhCcAAB4QFUtUEro7cBiY4v2X945LR9Q2hGc\nQCnx8ssv06sWCAOCEyglZs2a5ZqH1gudUch5ZxWgNCM4AZ+rWbOmuRVYenq6+VdUTZo0CetxAdGK\n4AR8rmvXruYfgPCgVy0AAB4QnAAAeEBwAgDgAcEJAIAHBCcAAB4QnAAAeEBwAgDgAcEJAIAHBCcA\nAB4QnAAAeEBwAgDgAcEJAIAHBCcAAB4QnAAAeBATCAQCBW2Um5sriYmJUrZsWUlOThY/2bJlixw9\nelTi4uKkadOm4icbN26Uw4cPS2xsrDRs2FD8hmsXvbh20WuLj78zMzIy5MiRI5KTkyMJCQmnFpy7\ndu2SGjVqhPsYAQAocXbu3CnVq1c/teA8fvy47NmzRypUqCAxMTHhPkYAAE47jcNDhw5J1apVpUyZ\nMqcWnAAA4D/oHAQAgAcEJwAAHhCcAAB4QHACAOABwQkAgAcEJwAAHhCcAABI4f0fR4aGUsTSAXAA\nAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AABcITgAAXKCpFkDUq1y5sjRu3Dhf6+o5oD/88EPItwneRXACiHqtWrWS0aNH\n53tUrV68GsgrghNA1Fu9erWMHDkyX+syqAhuEZwAotrtt99uT9yeXwMGDJCSJUuGbJvgbQQngKj2\n//7f/7vYm4BChlG1AAC4QHACAOACwQkAgAsEJwAALhCcAAC4QHACAOACwQkAgAsEJwAALhCcAAC4\nQHACAOACwQkAgAsEJwAALhCcAAC4QHACAOBCjM/n8+X2pJMnT0pCQoLExcVJ/fr1xUvS0tLMhWyL\nFSsmiYmJ4iXp6emSmZkpxYsXl3r16onXcOyiF8cueqV5+Dtz+/bt5tquGRkZEh8fH5rgBADA63IL\nTlcXso6NjZVatWqJl3i5KvPyX4aKYxe9OHbRK93D35mbN2+WM2fO5Po8V8FZs2ZNSUlJES/p1auX\nCRj9BUhNTRUvSUpKkvXr15vQ9NpxUxy76MWxi169PPydefnll8uGDRtyfR6DgwAAcIHgBADABYIT\nAAAXCE4AAFxwNTgIOBcdZff999+bn+3bt+f0JQCeRXDigmVnZ8uQIUNk9erV5nbt2rVl2rRphCcA\nT6KpFnn29ddfy80332yGo+uyRU95sUJTbdu2zVSflrlz55r1evfuLbNnz2aPA4hqVJzIk19//VUe\nffRRU12qxx57TK644gqpXr26+Ve+fHk5fPiwecw5NaOuN3LkSL/1mjRpYs4JBoBoRMWJPNm/f78d\nfkrnc9y3b59ZvuSSS0zTbKVKlaREiRIydepUe0aRPXv2+K2XlZVl7gOAaEVwIk/atGljZiKyXH31\n1XLllVfat6tUqWKm9tOQvOyyy+z7W7dubfo8LY0bN5bmzZuz1wFELYITQf3444/y+OOPy/jx400T\nrIbilClT5JlnnjGPX3vttWbuYqcTJ06YeR61GrXoRMk33nijWX7ggQdk8uTJ5rUOHjwo48aNk6ef\nflpWrFjBUQAQNejjRA6rVq2Se++9V6wL5yxdutQ0v2rgNWvWzNynYXfnnXfmCE7rajqlS5f2ez3V\nvXt305SrVek999xj5rtUn3/+uXz00UfSqFEjjgaAiEfFiRz+9a9/2aGpdCLn33//3SyXLVvW/Fy5\ncqXpr7To+Zv6z7okj/P+NWvWSNGiRU1zrtVfaoWm0gpVwxkAogHBiRzatm0rMTEx9m2tBK3A1J/6\n2LFjx/yuInD8+HF72RmcGrpagVp9oEqX9SoEFm3y1T5TAIgGBCdyaNGihbz55pvSuXNn00f51ltv\n+YVcqVKlzPLy5ctzDU7rOXrKilNycrL5edddd8n7778vDRo04EgAiAoEJ4K65ppr5NlnnzXNqEuW\nLPF7zKo+ly1bFjQsgwVnjRo1/JpvdZCQnuv5P//zP36jdQEg0hGcOCetLPU0lIkTJ/r1eZYrV84e\n9GP1czorTm2adfZvBgbnZ599Zs7l7NGjB3sfQNQhOHFenTp1ks2bN8vChQtzVJw6ilan27OWAytO\nq3/TGZwaphrEqlu3bux9AFGH4MR5XXfddWYw0IQJE3JUnM7mWmdwWmHp7AO1+ji12ty9e7eZro9p\n9wBEI4IT51WxYkUTcmvXrrUnKnAGpxWOwSpOZ3BqxUm1CcALCE7kqblWWVWn1VRr9XPqAKLA4HT2\nbyYkJJhJ4FNSUky1WaRIEenatSt7HkBUIjiRq+uvv978/OGHH+SXX37xqzi1Wfbnn3/OEZyB/Zsa\npFbw6ukulStXZs8DiEoEJ3Klk7TXrVvXLOvAHmdwWk2ygaNqA/s3dVo9rTatqfcAIFoRnHDVXPvN\nN9/Y0+85BwgFnsfpDE6dKciqNnUCBZ1YAQCiFZO8I0+sS4HpBO2ffvqp32M6cKhkyZL27aNHj9r9\nm9a8trt27TLLOumBXr8TAKIVFSfy9otS5P9+VbSf0ymwaVaD0urfVJs2bQr6OgAQjag44YqOqC1e\nvHjQx/SSYZZKlSrleNwZpgAQrQhOuPLkk09Kly5d8rXXpk+fLp988gl7HEBUIzjhynfffSfp6en5\n2ms//fQTextA1CM44cqsWbMuaI81btyYPQ4gqjFSAwAAFwhOAABcIDgBAHCBPk648vjjj0u7du3y\n3T86b9489jiAqEZwwpVjx47JwYMH87XXnPPZAkC0IjjhyksvvXRBe4xRtQCiHcGJPNHmWc7DBAAG\nBwEA4AqjagEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADA\nBYITAACCEwCAgkHFCQCACwQnAAAuxPh8Pl9uTzp58qQkJCRIbGys1KpVS7wkPT1dMjMzpXjx4lKv\nXj3xkrS0NDl9+rQUK1ZMEhMTxWs4dtGLYxe90j38nbl582Y5c+aMZGRkSHx8fGiCEwAAr8stOGPd\nvFhcXJzUr19fvMTLVZmX/zJUHLvoxbGLXmke/s7cvn27nD17NtfnuQrOunXrSmpqqnhJUlKSrF+/\n3vwCpKSkiJf06tXL/JJraHrtuCmOXfTi2EWvJA9/Z958882ydevWXJ/H4CAAAFwgOAEAcIHgBADA\nBYITAIBoDc6vvvpKGjVqJJUqVZJHH31U8nCmDAAAYeVqVG0o6DmhU6dONefJ9OnTRypWrGju19v9\n+vWTY8eOmdtjxoyRNm3ayK233mpunzp1yl7vtttus9cDAMCzwZmVlSXdunWTRYsWmdt///vfZd26\ndXLppZfK8ePH5cSJE37P37Nnj996CxcuNLefe+45Wbt2LeEJAPB2U+2aNWvs0FS7d++WWbNmmWVt\nnn377belTJky5rZWn3fddZe9nhWaVqB++eWX4dx0AADCH5wNGzaUcuXK2bd17tuWLVvat++++25p\n3bq1WX7zzTelZMmSZllnK3JO+RcTEyPNmjUL56YDABCe4NQZa7Zt22aWS5UqJbNnzzYz2qjhw4eb\nWSicjh49an46m23Lli1rmmfVZZddJu+++660aNHC3D5w4IBp7tXmXAAAojY4dS7DTp06SZMmTaRO\nnTry0EMPmfvbtm0r//u//2uWN27cmGM9a3CQ9nk6/fbbb+bnCy+8IIMGDbKr0mrVqknTpk1NAO/b\nt6+gPg4AAAUbnJ999pnMnz/fvv3yyy/blWf58uVNc6v2d2ZnZwetOAODc8GCBfZ8uUrXe+SRR+wJ\neTWEX3311YL6OAAAFGxwBl6GTINS+zRV0aJFTfPr77//LqtXr8614tRTUZYtW2aWtXq1Xs/qA7WU\nLl26gD4NAAAFHJw9e/aUgQMHmkvPaMiNHz9eatSoYT+up6AoZ1WqEx5YgekMziVLlpimXx15a4Wl\nvua4cePMst6n/abDhg0rqI8DAEDBBmeRIkXkvffek127dpnlK664wu/xYMGpYWnNFuQcHBTYTGv5\n4YcfzGvrVbu1aTiwAgUAIOpG1eoMP+3atZNRo0YFDc7FixfbI2Kt/s3AijNYcGogT5gwQTp27ChV\nqlQp6I8BAED4zuPs3bu3fPvtt7JixYocwalhuXLlSr/+TWdwOvs3ncE5evRo03yrEyUAAOCp4LTO\n23RWnVZwOptrg1WcVv+mc2CQzjikswxp/6k1ly0AAJ4Jzlq1aknz5s0lJSVFNmzYcM7gDFZxWs20\nzopTA1jDtEuXLubUFgAAPDflnladeu6lXvUkMDh1kI+ejxms4gwMTq02tW9T9e/fP1ybDwBA+INT\nvf/++7Jjxw6/4NSQXL58uV/FqaNqnf2b2iyrp7No36beHx8fL8nJyeHafAAAwhucV155pdSrV08y\nMzNl7NixfsFpNdcGVpzO/k1t7tUp9bRv0zpPVOe+BQDAs1dHsSpEDT/rfE2LNskG9nEGNtNa1aZi\nNC0AwPPBedNNN5mfGRkZpsnWSfs5Dx48eM7g1KZZa3J4nc6vR48eYdtuAAAs/548NkwqVKhgL8+Y\nMcPvMQ3TefPm2bc1RHVGIMucOXPsalPnpC1RokRYthkAgIsWnE4nT57Mcd/atWv9ruPpZIUmAACF\nLjgHDx4sN954Y77W1VmGJk2aFPJtAgAgYoNTLzqto2LzQy9JRnACAApVcI4cOdL8y6/KlSuHdHsA\nAIjIUbUAAEQ7ghMAABcITgAAIr2Ps0OHDuZqKfmxdetWWbp0aci3CQCAiA1OvbD18OHD87XuzJkz\nCU4AQOEKzhdffFGmTp2ar3WPHDkS8u0BACAig7Nq1aoyfvz4C36dkiVLhmR7AACI6ODUS4nlt4kW\nAIBIwKhaAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB\n4AQAwAWCEwAAFwhOAABcIDgBAHAhxufz+XJ70smTJyUhIUHi4uKkfv364iVpaWly+vRpKVasmCQm\nJoqXpKenS2ZmphQvXlzq1asnXsOxi14cu+iV5uHvzO3bt8vZs2clIyND4uPjQxOcAAB4XW7B6epC\n1rGxsVKrVi3xEi9XZV7+y1Bx7KIXxy56pXv4O3Pz5s1y5syZXJ/nKjhr1qwpKSkp4iW9evUyAaO/\nAKmpqeIlSUlJsn79ehOaXjtuimMXvTh20auXh78zL7/8ctmwYUOuz2NwEAAALhCcAAC4QHACAOAC\nwQkAgAuuBgcBhdU333wjS5culbZt28oNN9xwsTcHwEVEcAIO2dnZUqSIf0PMa6+9Jvfff7/f7aFD\nh/o9R0+HjomJYV8ChQBNtYCIbNmyRZo1a2bOedWK8sCBA/Z+mTJlit8+eu+99+zlrVu3SvPmzc05\nzrrevn372J+AxxGcgIgMHDhQ1q5dayrOefPmyZNPPmnvl5tuuslvH3Xr1s1eHjBggKxZs8Ze7/HH\nH2d/Ah5HcAIicvz4cb/98Pvvv9vLf/3rX+Xpp582y88884y9rI4cOeK33m+//cb+BDyO4AT+E4jW\n3JTlypXLUTmWLVvW/KxYsaLf/SNGjLCXy5Qp43cbgDcRnCiU/ZmDBg0yfZKTJk2ypxHbv3+/NG3a\n1MzB2bhxY791jh07FrQyTU5ONoOC2rVrZ15XR91mZWXJqFGjpHPnzvLQQw/lqEoBRDdG1aJQ0dGv\nPXr0kI0bN5rb2i9ZuXJlc1+pUqWkWrVqpq/zl19+MfNWWo4ePRo0OBcuXGhes1WrVnLppZea+8aO\nHSt/+ctfzPK3334ru3fvlhkzZoTxUwIoSFScKFQ0AK3QtOj5mRYr/ObPn5+ninPBggXmZ506dez7\nVqxY4fecZcuWhWz7AVx8BCcKFe2rdE5goBdn79mzZ67BaVWcJ06cCBqcdevW9Ruh6zyn8/bbbw/5\n5wBw8RCcKHQ+//xzmTBhgmmWff7556V169Y5gtNqgj1fxXn48GH56aefcgTnNddcIyVLlpQbb7xR\n5syZY/o7AXgHwYlCJyEhQYYMGSK33XabvPPOO34BaQWnToDgvNZgsD5OZ7g6m2q1j1Ofp6exdOnS\nJSyfCUD4EJwotHQkrQ4Ccl7k2wrOwObaYBWn1UxbpUoV+1QWrUJfffVVqVWrlhlhC8B7CE4UWu3b\nt5cKFSr4NaWeKziDVZzB+je12tSQ7devH3PXAh5FcKLQKlq0qBkYtHz5cnNaSmBwLlq0yG6KtSpO\na3BQsP5Nve+VV14xyxqcALyJ4IQU9uZaZVWdzuA8dOiQrFu3LmjF6ezftIJz3LhxJmAbNWpkJowH\n4E0EJwo1Hbyjg4W04tTK0xmcVnPt2bNn5dSpU37BaTXTWgODdI5aqk2gcCA4UajpoJ6uXbua5dGj\nR5vTSHTKPYsGpFVtnis4teLUvk3reTTTAt5GcKLQ6927t9kHn332mWzYsMGv6tQmWedcs1p56py2\nVv+muuSSS+xqU6/N2bBhw0K/TwEvIzhR6OkAIb0QtfZZ/uMf//ALTg3NxYsX++2j2bNn2/2bWp1O\nmzbNrjb79+9f6Pcn4HUEJwo9rRitAT4ffPCBZGRk+O2TL774wu/2zJkz/abws6pNxbmbgPdxdRRA\nxD7nMjMzU9LS0vz2iU6b5zR37lx7WZttnZxz1ALwJoIT+I/SpUvnuA6nG1wFBSgcCE7gP6688soc\n/ZlulChRgn0JFAIEJ/AfW7Zskfvvvz/f+0PP9wTgfQQn8B979uyR1157jf0B4LwYVQsAgAsEJwAA\nLhCcAAC4QB8n8B/XXnut3xy0bpUqVYp9CRQCBCfguIxYSkpKvvdHdnY2+xIoBAhOQESqVKkimzdv\nluHDh+d7f1SqVMnvyioAvIngBAIuEwYA58PgIAAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBw\ngeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMCFGJ/P58vtSSdP\nnpSEhASJjY2VWrVqiZekp6dLZmamuQBxvXr1xEvS0tLk9OnTUqxYMUlMTBSv4dhFL45d9Er38Hem\nXsz+zJkzkpGRIfHx8aEJTgAAvC634Ix182JxcXFSv3598RIvV2Ve/stQceyiF8cueqV5+Dtz+/bt\ncvbs2Vyf5yo469atK6mpqeIlSUlJsn79evMLkJKSIl7Sq1cv80uuoem146Y4dtGLYxe9kjz8nXnz\nzTfL1q1bc30eg4MAAHCB4AQAwAWCEwAAFwhOAEBEys7ONmd1RBqCEwAQcebPny8dO3aUNm3ayLBh\nw8wpIpGC4AQAXBQZGRnyzjvvyNixY2Xjxo32/Tq9wFNPPSW//fabub1o0SKZNm2a/bhWobreuHHj\n/NYLF1enowAAECpDhw6VlStXmuUPP/zQhKPOFZCVlZXjfEo9d9S53ooVK8zy+++/Lx999JE0bNhQ\nwoWKEwAQdnv37rVDU+lUdwsXLjTLOr3ra6+9JtWqVbPPSR80aJC9nhWaSid5sdYLF4ITABB2VapU\n8ZuJTsOybdu29u3mzZtL06ZNzfJdd91lT/tauXJlqV69ut9rtWrVSsKJ4AQAFLisrCxZunSpLFu2\nzCyrN954Q4YMGWKWe/bsaWYlcrIGBDlH1sbExMjIkSPNsgav9nO2aNHC3N62bZvpD7X6RgsKfZwA\ngAKVmZlpAnL16tV2hThhwgRTdQ4fPlwmT55spvELdPz4cfMzcETtrl27zE9tvu3cubNZnj59ujz3\n3HNmYFGpUqVk4sSJ0rhx4wL5PFScAIACtXz5cjs0lfZROm+XLVtWfv31Vzly5EiuFaf1eqpGjRr2\nfW+//bYJTStwP/jggwL6NAQnAKCAVaxYMcd95cqV81vW0HMO+jlXxamTIqxatcosO/s6te/TKfB2\nKFFxAgAK1GWXXSYjRoyQqlWrmtt//vOf/QYGacWptP/T6cSJEzmCU8/bPHr0qBlMpE29Fn19ValS\nJUlOTpZ77rmnwD4PfZwAgAJ35513yoABA+S6664z1/IMVn1aTbDnC07rOXqqSpEi/1f7fffdd+bn\npEmTCvw6oVScAICwKFq0qHTo0MGEmzWy1hmcev3gw4cPm2WdAMGa9CBYcDr7N3WdqVOnmlG54bi4\nNsEJAAib66+/Xnbu3Clz5szJ0VSr/ZxWMFrVpnNw0Ln6N999913znO7du4flMxCcAICwueaaayQ+\nPt6cLhJsoFCw4LQqTqt/01lx6jmbWm3q+Z1du3YNy2cgOAEAYVO8eHETnps2bTKTFQQGpzVAyBpR\n6wxOZx+oFZxWtakzDTkHCxUkghMAEPbmWqWTIDibatXWrVvl4MGDfv2a5wpOq9pU4WqmVQQnACCs\nOnToYE4n0UkQtM/SWXFaARlYcTr7N60+Tq029TF9rS5duoRt+wlOAEBYlS1bVlq2bGlXnYHBqc21\ngYODnP2bpUuXNgOJrGpTL3Zdvnz5sG0/wQkACLtOnTqZn99//73s27fP7zGdQShwcFBgM61VbYa7\nmVYRnACAsGvfvr29/PHHH/s9plc50b5OZ8XpDE6tOPXi1YF9puHCzEEAgLArVaqU36w/OguQ9mNa\nFixYYC9rf6ezf1OXdYIEZ5CGE8EJALioshyzCDmrTouOsnVyhubFQHACAC6am266Sfr27ZuvdbU5\n94knnpBwIzgBABdNiRIl5JJLLsnXuoGVaLgQnACAi2bGjBnmXzRhVC0AAC4QnAAAuEBwAgDgAn2c\nAICLpk2bNn6TIbihMw69//77Em4EJwDgomnSpIkMHjw4X+umpqYSnACAwmXatGkyc+bMfK17sSZC\noOIEAFyUKffGjh0blXue4AQAhF2xYsXCeg3NUGJULQAALhCcAAC4QHACAOACwQkAgAsEJwAALhCc\nAAC4QHACAOACwQkAgAsEJwAALhCcAAC4QHACAOACwQkAgAsEJwAALhCcAAC4EOPz+Xy5PenkyZOS\nkJAgcXFxUr9+ffGStLQ0OX36tLnETWJionhJenq6ZGZmSvHixaVevXriNRy76MWxi15pHv7O3L59\nu7k4dkZGhsTHx4cmOAEA8LrcgtPVhaxjY2OlVq1a4iVersq8/Jeh4thFL45d9Er38Hfm5s2b5cyZ\nM7k+z1Vw1qxZU1JSUsRLevXqZQJGfwFSU1PFS5KSkmT9+vUmNL123BTHLnpx7KJXLw9/Z15++eWy\nYcOGXJ/H4CAAAFwgOAEAcIHgBADABYITAAAXXA0OAuA9GzdulE8//dSMkuzbt69Ur179Ym8SENEI\nTqCQOHDggDk3rVSpUvZ9e/fulUGDBpnz1tSsWbNk5syZfuew7d+/35zH7VwPKMxoqgU8Ts+5GzFi\nhHTq1Enat28vkydPth9btWqVHZpWSGoFaq33yCOPyPXXXy8dOnSQSZMmXZTtByINwQl43FdffSVz\n5swxyzqd2Pjx4+Xw4cPmdtu2bf0mNdHz2Bo1amSvN3v2bDtEX3zxRTl48OBF+QxAJCE4AY/TmaMC\nFS1a1PwsX768fPLJJ6Z/s3bt2vLhhx9KiRIlzGMxMTF+6+Rhdk6gUCA4AY/r0qWLaW61wvLhhx+W\nsmXL+gWrTjOWnZ1tptW0dO3aVRo2bGiWixQpIvfff79UqFDhInwCILIQnICHaJPqqFGjpFu3bnLv\nvfeaqz1oGGozq96vypQp47fOiRMnTDWpF3NwsqpQpaNu//SnP5nlefPmSZ8+feTWW2+Vzz//PGyf\nDYgUBCfgITrwR5tbd+3aJUuWLJHHHnvMfqxcuXLm54oVK3IEp3IOErKsXLnSVKR16tSxBw/pQKNf\nfvlFNm3aJE888YT8+uuvBfypgMhCcAIesnPnTr/b27ZtyxGcy5YtCxqcgRXnli1bzGAgPa9Tm2qt\n01d0gJFFK1UNaaAwITgBD0lOTvYbDNSvX78cwanht2PHjhzBqX2czvBcvny5+emcEKFx48bSqlUr\n+7Ze2P6qq64qsM8DRCKCE/CQ5s2byxdffCEDBgyQKlWqyLBhw+zHnAOCrFBUx48ft5edzbXWc2rU\nqGHfp/2lFStWlNKlS8s777wj06dPP+8FfwEvIjgBj9GgGzJkiOmP/Oabb+z7dfafuLi4HM21zrB0\nVpxWX6gzOLX5Vs8J1VG6rVu3DnqqC+B1BCfgQXrayBVXXCETJ070u99qrs2t4tSAPHToUI7gfOut\nt0yTbvfu3Qv8MwCRiuAEPEqrQr2a/ffff5+juVarUWvgkNXH6QxOZ7BafZxbt26Vr7/+2kyaQL8m\nCjOCE/BwcKoJEybkqDid4ZhbcFoV55tvvmmqzc6dO9uTKQCFEcEJeFRiYqIZ9aoTua9evTpPwWn1\ncVr9m1qh6kAgq9pUPXr0COvnACINwQl42HXXXedXdQYbWRtYcQbr37T6NnWkro7cBQozghMoBM21\nixYtMjP9OCtOndxAQzKw4gzs39S+UKva1Kn8Aid/BwobghPwsKSkJFMlKh1h6wxOpSEZOKo2sH9T\nq82srCw7OIHCjuAECklzrZ5/eezYMb/H9HxO53mcuuycy1YD07omp163U4MYKOwITsDjdICQFYKB\nVzPRkHRWnD///LPdv6k0NK1qs0GDBmHbZiCS/d/F9wB4ns5T63T48GG/4AycAF7P9wTgj+AEColr\nrrkmx7U480oHFgH4N4ITKCQefPDBfPdRjh8/3u+KKkBhRnAChcSYMWOkVKlS+VpXJ0Bo1KhRyLcJ\niEYEJ1BI6AxCF4LgBP6NUbUAALhAcAIA4AJNtUAhoZcDi43N339557R8QGFHcAKFxOuvv86oWiAE\nCE6gkJg5c6bfPLRu6IxCziurAIUZwQl4XIUKFcylwFJTU82//KpTp05ItwuIVgQn4HGdOnUy/wCE\nBqNqAQBwgeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMAFghMA\nABcITgAAXCA4AQBwgeAEAMCFGJ/P58vtSRkZGVKyZEkpWrSoJCYmipfs2LFDzp49K3FxcVK3bl3x\nki1btsiZM2ckNjZWatasKV7DsYteHLvotcPD35lpaWmSmZkpJ06ckISEhAsLzsOHD8ull14a6m0E\nACDiHDp0SMqXL39hwZmdnS1HjhyREiVKSExMTKi3EQCAi07j8NSpU1KuXDkpUqTIhQUnAAD4NwYH\nAQDgAsEJAIALBCcAAC4QnAAAuEBwAgDgAsEJAIALBCcAAJJ3/x/2EWnuG/yFTAAAAABJRU5ErkJg\ngg==\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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z5tixY9luVF3YMRwFAAAXCE4AAFygqhYAcN7Ex8dLQkJCvrY9cuSI3/jOUCE4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\nRARkZAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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sPkugBCA4gf9JSUmRV155pcCfR6tWrfgsgRKA4AT+R6+x+dBDDxX487CuoALA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\nAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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PP8vevXvPGpzalrl27dpcwamTJ+iadzquc8GCBTJs2LDCnioAIIgIznOgs/zcfPPN8vHH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\nnAAAuEBwAgDgAsEJAIAU3P8DPhnTOKAe/lAAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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A4CI4g0zXqH3ttdfyvX23bt2Cuj8AgOAiOIPs8OHD8thjj+V7e+tk2ACA8ERw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\nAsEJAIDk3f8D+YLR2uj+qkAAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "10 essais, nombre de solutions = 9, 0 déjà vues"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "explored = set()\n",
        "nb_explored = 0\n",
        "\n",
        "for i in range(10):\n",
        "  etat = create_initial_state(8)\n",
        "\n",
        "  nouvel_etat = hill_climbing(etat)\n",
        "\n",
        "  if (nouvel_etat != None):\n",
        "    display_n_queens(nouvel_etat, 6)\n",
        "    if tuple(nouvel_etat) in explored:\n",
        "      nb_explored += 1\n",
        "    else:\n",
        "      explored.add(tuple(nouvel_etat))\n",
        "\n",
        "    solutions += 1\n",
        "\n",
        "print(f\"10 essais, nombre de solutions = {solutions}, {nb_explored} déjà vues\")"
      ],
      "id": "0a7a8196"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Résoudre (2)"
      ],
      "id": "3394f5b6-026b-425b-a70a-820f12aec3a0"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1000 essais, nombre de solutions = 704, 92 uniques"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "nb_runs = 10 if DRAFT else 1000\n",
        "\n",
        "for i in range(nb_runs):\n",
        "\n",
        "  state = create_initial_state(8)\n",
        "\n",
        "  new_state = hill_climbing(state)\n",
        "\n",
        "  if (new_state != None):\n",
        "\n",
        "    if tuple(new_state) in explored:\n",
        "      nb_duplicates += 1\n",
        "    else:\n",
        "      explored.add(tuple(new_state))\n",
        "\n",
        "    solutions += 1\n",
        "\n",
        "print(f\"{nb_runs} essais, nombre de solutions = {solutions}, {len(explored)} uniques\")"
      ],
      "id": "5692c95a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Résoudre 40-Reines\n",
        "\n",
        "$40! = 8.1591528325 \\times 10^{47}$\n",
        "\n",
        ". . ."
      ],
      "id": "092d4574-4e64-4f8b-bb8a-ee68d5f46b70"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "10 essais, nombre de solutions = 6, 6 uniques"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Iltnz1nj88cfVrFmz9PFXX32lf7/sAefRHgcAAIDAEGy6KCUlRV199dUBP97s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\nAAAAAMB1JJsAAAAAAOW2/wOWNpyCBh5mvAAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Temps écoulé : 14.6590 secondes"
          ]
        }
      ],
      "source": [
        "import time\n",
        "\n",
        "start_time = time.time()  # Record the start time\n",
        "\n",
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "nb_runs = 1 if DRAFT else 10\n",
        "\n",
        "for i in range(nb_runs):\n",
        "\n",
        "  state = create_initial_state(40)\n",
        "\n",
        "  new_state = hill_climbing(state)\n",
        "\n",
        "  if (new_state != None):\n",
        "\n",
        "    if tuple(new_state) in explored:\n",
        "      nb_duplicates += 1\n",
        "    else:\n",
        "      explored.add(tuple(new_state))\n",
        "\n",
        "    solutions += 1\n",
        "\n",
        "print(f\"{nb_runs} essais, nombre de solutions = {solutions}, {len(explored)} uniques\")\n",
        "\n",
        "one_board = next(iter(explored))\n",
        "display_n_queens(one_board, 12)\n",
        "\n",
        "end_time = time.time()  # Record the end time\n",
        "elapsed_time = end_time - start_time  # Calculate the elapsed time\n",
        "\n",
        "print(f\"Temps écoulé : {elapsed_time:.4f} secondes\")"
      ],
      "id": "ef5b7461"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Itérations et mouvement latéraux"
      ],
      "id": "6d550e2f-2e24-4df1-b210-1c999c3388f6"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [],
      "source": [
        "MAX_SIDE_MOVES = 100\n",
        "\n",
        "def hill_climbing_counts(etat_courant):\n",
        "\n",
        "    \"\"\"Algorithme de montée de colline pour résoudre le problème des N-Reines.\"\"\"\n",
        "\n",
        "    conflits_courants = calculate_conflicts(etat_courant)\n",
        "    mouvements_lateraux = 0\n",
        "    iterations = 0\n",
        "\n",
        "    while True:\n",
        "\n",
        "        if conflits_courants == 0:\n",
        "          return (iterations, mouvements_lateraux, etat_courant)\n",
        "\n",
        "        iterations += 1\n",
        "\n",
        "        voisins = get_neighbors(etat_courant)\n",
        "\n",
        "        conflits = [calculate_conflicts(voisin) for voisin in voisins]\n",
        "\n",
        "        if (min(conflits)) > conflits_courants:\n",
        "          print(\"here\")\n",
        "          return (iterations, 1, None)  # Aucune amélioration trouvée, bloqué dans un minimum local\n",
        "\n",
        "        if (min(conflits)) == conflits_courants:\n",
        "          mouvements_lateraux += 1  # Plateau\n",
        "\n",
        "        if mouvements_lateraux > MAX_SIDE_MOVES:\n",
        "          return (iterations, 2, None)\n",
        "\n",
        "        arg_best = np.argmin(conflits)\n",
        "        etat_courant = voisins[arg_best]\n",
        "        conflits_courants = conflits[arg_best]"
      ],
      "id": "c3ad6ee2"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1000 essais, nombre de solutions = 704, 92 uniques"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "nb_runs = 10 if DRAFT else 1000\n",
        "\n",
        "iterations = []\n",
        "sides = []\n",
        "\n",
        "iterations_none = []\n",
        "sides_none = []\n",
        "\n",
        "for i in range(nb_runs):\n",
        "\n",
        "  state = create_initial_state(8)\n",
        "\n",
        "  (i, s, new_state) = hill_climbing_counts(state)\n",
        "\n",
        "  if new_state != None:\n",
        "    iterations.append(i)\n",
        "    sides.append(s)\n",
        "  else:\n",
        "    iterations_none.append(i)\n",
        "    sides_none.append(s)\n",
        "\n",
        "  if new_state != None:\n",
        "\n",
        "    if tuple(new_state) in explored:\n",
        "      nb_duplicates += 1\n",
        "    else:\n",
        "      explored.add(tuple(new_state))\n",
        "\n",
        "    solutions += 1\n",
        "\n",
        "print(f\"{nb_runs} essais, nombre de solutions = {solutions}, {len(explored)} uniques\")"
      ],
      "id": "9380e641"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Itérations et mouvement latéraux"
      ],
      "id": "2f513aa3-a7fe-4fbf-b381-cb77b51e4b97"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "output-location": "slide"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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SG//1s2qepWBm41h+dMFHrrv871t+190T/eNH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zAENqmhmdFkdTntXEPtcI4VOroJ9mY0eRA1JMNtSjrKubYJ1x5PBUuXLrXgLXPFJOJ4OmaUOpNN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\nn7vnAK0+yQAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "import seaborn as sns\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Configurer la structure des sous-graphiques\n",
        "fig, axes = plt.subplots(1, 2, figsize=(14, 6), sharey=True)\n",
        "\n",
        "# Tracer l'histogramme pour `iterations`\n",
        "sns.histplot(iterations, kde=True, color='green', ax=axes[0], edgecolor='black')\n",
        "axes[0].set_title(\"Histogramme des itérations\")\n",
        "axes[0].set_xlabel(\"Itérations\")\n",
        "axes[0].set_ylabel(\"Fréquence\")\n",
        "\n",
        "# Tracer l'histogramme pour `sides`\n",
        "sns.histplot(sides, kde=True, color='blue', ax=axes[1], edgecolor='black')\n",
        "\n",
        "axes[1].set_title(\"Histogramme des mouvements latéraux\")\n",
        "axes[1].set_xlabel(\"# Mouvements latéraux\")\n",
        "\n",
        "# Afficher le graphique\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "f76b2137"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 20-Reines"
      ],
      "id": "b307876c-c38a-48b9-ad87-513a7f6c6243"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1000 essais, nombre de solutions = 566, 566 uniques"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "nb_runs = 10 if DRAFT else 1000\n",
        "\n",
        "iterations = []\n",
        "sides = []\n",
        "\n",
        "iterations_none = []\n",
        "sides_none = []\n",
        "\n",
        "for i in range(nb_runs):\n",
        "\n",
        "  state = create_initial_state(20)\n",
        "\n",
        "  (i, s, new_state) = hill_climbing_counts(state)\n",
        "\n",
        "  if new_state != None:\n",
        "    iterations.append(i)\n",
        "    sides.append(s)\n",
        "  else:\n",
        "    iterations_none.append(i)\n",
        "    sides_none.append(s)\n",
        "\n",
        "  if new_state != None:\n",
        "\n",
        "    if tuple(new_state) in explored:\n",
        "      nb_duplicates += 1\n",
        "    else:\n",
        "      explored.add(tuple(new_state))\n",
        "\n",
        "    solutions += 1\n",
        "\n",
        "print(f\"{nb_runs} essais, nombre de solutions = {solutions}, {len(explored)} uniques\")"
      ],
      "id": "58a6c3e0"
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "output-location": "slide"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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6Ku32vHnz9Oyzz2rt2rU67rjjdN9996lChQpB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\nY9zeN/k+fTT3o2A3CQAKtPvukwoX9mbgXrYsf9e9cqX0+OP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FhJtAAUGwiaOa5fz131/X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          }
        }
      ],
      "source": [
        "import seaborn as sns\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Configurer la structure des sous-graphiques\n",
        "fig, axes = plt.subplots(1, 2, figsize=(14, 6), sharey=True)\n",
        "\n",
        "# Tracer l'histogramme pour `iterations`\n",
        "sns.histplot(iterations, kde=True, color='green', ax=axes[0], edgecolor='black')\n",
        "axes[0].set_title(\"Histogramme des itérations\")\n",
        "axes[0].set_xlabel(\"Itérations\")\n",
        "axes[0].set_ylabel(\"Fréquence\")\n",
        "\n",
        "# Tracer l'histogramme pour `sides`\n",
        "sns.histplot(sides, kde=True, color='blue', ax=axes[1], edgecolor='black')\n",
        "\n",
        "axes[1].set_title(\"Histogramme des mouvements latéraux\")\n",
        "axes[1].set_xlabel(\"# Mouvements latéraux\")\n",
        "\n",
        "# Afficher le graphique\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "e505a00b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Russell & Norvig\n",
        "\n",
        "- La montée de colline **échoue 86 % du temps**.\n",
        "  - Les tentatives réussies nécessitent en moyenne **4 étapes pour une\n",
        "    solution**.\n",
        "- Permettre **100 mouvements latéraux** augmente le taux de réussite de\n",
        "  14 % à 94 %.\n",
        "- L’espace de recherche contient $8^8 = 16,777,216$ états.\n",
        "  - Implémentation de Russell & Norvig\n",
        "\n",
        "Possède de nombreuses variantes, notamment la montée de colline avec\n",
        "**redémarrage aléatoire**.\n",
        "\n",
        "Dans l’implémentation que j’ai proposée, il ne semble pas y avoir de\n",
        "minimums locaux. Toutefois, cela nécessite une vérification plus\n",
        "approfondie.\n",
        "\n",
        "## Échapper à un optimum local\n",
        "\n",
        "Quels **mécanismes** permettraient à l’algorithme de **montée de\n",
        "colline** d’échapper à un optimum local, qu’il s’agisse d’un minimum ou\n",
        "d’un maximum local ?\n",
        "\n",
        "Il doit accepter de descendre.\n",
        "\n",
        "Une approche de marche aléatoire, qui ignore la valeur de la fonction\n",
        "objectif, pourrait théoriquement trouver le maximum global. Cependant,\n",
        "cette méthode est extrêmement inefficace.\n",
        "\n",
        "## Remarque\n",
        "\n",
        "Supposons que le problème d’optimisation soit une **minimisation**, où\n",
        "l’objectif est de trouver une solution avec le **coût minimum**.\n",
        "\n",
        "Descente de colline, descente de gradient.\n",
        "\n",
        "# Recuit simulé\n",
        "\n",
        "## Définition\n",
        "\n",
        "Le **recuit simulé** (*simulated annealing*) est un algorithme\n",
        "d’optimisation inspiré du processus de recuit en métallurgie. Il explore\n",
        "l’espace de solutions de manière probabiliste en permettant des\n",
        "**déplacements occasionnels vers le haut**, ce qui aide à **échapper aux\n",
        "optima locaux**. L’algorithme **réduit progressivement la probabilité\n",
        "d’accepter des solutions pires** en diminuant un paramètre de\n",
        "“température”, convergeant ainsi vers une solution optimale ou\n",
        "quasi-optimale.\n",
        "\n",
        "## Recuit\n",
        "\n",
        "> **Note**\n",
        ">\n",
        "> (Russell et Norvig 2020, 114)\n",
        ">\n",
        "> **En métallurgie**, le **recuit** est le processus de durcissement des\n",
        "> métaux et du verre en les **chauffant à haute température** et en les\n",
        "> **refroidissant progressivement**, permettant ainsi au matériau\n",
        "> d’atteindre un **état cristallin à faible énergie**.\n",
        "\n",
        "Le solide est chauffé jusqu’à son point de fusion, ce qui rend les\n",
        "particules distribuées de manière aléatoire.\n",
        "\n",
        "Ensuite, le matériau est refroidi progressivement, permettant aux\n",
        "particules de se réorganiser en un état de faible énergie.\n",
        "\n",
        "## Algorithme\n",
        "\n",
        "![](attachment:../../assets/images/search_simulated_annealing.png)\n",
        "\n",
        "**Attribution** : (Russell et Norvig 2020, 115)\n",
        "\n",
        "    1.  Cet algorithme ressemble à la montée de colline mais diffère en sélectionnant aléatoirement l’état suivant au lieu de choisir le meilleur mouvement.\n",
        "    2.  Si le déplacement réduit la valeur de la fonction objectif, il est accepté sans condition.\n",
        "    3.  Sinon, l’acceptation est probabiliste, en fonction de $\\Delta E$ et $T$.\n",
        "\n",
        "## Variation de $\\Delta E$"
      ],
      "attachments": {
        "../../assets/images/search_simulated_annealing.png": {
          "image/png": 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PbfnrY9pms6LvMf1/B0cHqJT/u/90Oh1iY2Nx+vRpJCQkgIjg7++P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s2rQJABAWFobU1FRwHAciwuXLl3H0yFGMHTu2+sYWka2PmeiFwWAwGAwGg8FgMBgMBoPBYDAY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\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RqKqqgq2tLdq1a4cRI0bgpZdfQoB/gNVj3aVLF8yYMQMbN27ErVu3oFKp4OXlhUmTJuHZ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\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fOmdAzqWUm5sr7rnnHo8gQUmSREBAgOjYsaMYPHiwGDx4sOjatasIDw8XBoNBDBw4UCxb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\n4scff8ScOXOQnp7ukb/Ly8tx4sQJbN26Fa+99homTpwIvV5f635LS0t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HtGnT0LlzZ+WV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C/Gsn379iW5ubmiv2dZlpw4cYJ4enoK9vypU6eS48ePc/174cIF0XFiWZZcunSJhIWFcft+QEAA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\n+k9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HQSqVwtXVFXfffTdenPIiBvQfAJVKhaqqKjz++OM4duwYOnbsiKFDh+Lee+9FSEgI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GCaTxjJycmh4uJievDgAfXr108WhG7Of81/M68rlw0uqdVq8vDwoAYNGtC///1voTJK6XdO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\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zZo2pza7tpk0ikbCgoCD23nvvseTk5Frb7KysLNa7d28mkUiYnZ0dk0qlzM7Ojg0ZMoSt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\ndHBkZjpWZXJzaW9uAFBERi0xLjO6Vf/0AAAAAElFTkSuQmCC\n"
        }
      },
      "id": "0767167f-100d-4874-b49a-3d7722c59d7a"
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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foTOM5+185BH3/uDB0pEjXpcIAAAg/QidYaxrV6lKFWntWmniRK9LAwAAkH6E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\nrkJggg==\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Définir une température fixe, T\n",
        "T = 1.0  # Vous pouvez ajuster cette valeur\n",
        "\n",
        "# Définir une gamme de changements d'énergie, ΔE\n",
        "delta_E = np.linspace(0, 5, 500)\n",
        "\n",
        "# Calculer la fonction e^(-ΔE/T)\n",
        "y = np.exp(-delta_E / T)\n",
        "\n",
        "# Tracer la fonction\n",
        "plt.figure(figsize=(8, 5))\n",
        "plt.plot(delta_E, y, label=r'$e^{-\\frac{\\Delta E}{T}}$', color='blue')\n",
        "plt.title(r\"Graphique de $e^{-\\Delta E / T}$\")\n",
        "plt.xlabel(r\"Changement d'énergie ($\\Delta E$)\")\n",
        "plt.ylabel(r'$e^{-\\Delta E / T}$')\n",
        "plt.ylim(0, 1.1)\n",
        "plt.xlim(0, 5)\n",
        "plt.grid(True)\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "5e3cf561"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Les mouvements entraînant des **changements négatifs significatifs\n",
        "(pires)** de la fonction objectif sont **moins susceptibles d’être\n",
        "acceptés**.\n",
        "\n",
        "## Variation de la température, $T$"
      ],
      "id": "4dc3136d-262e-42ef-aa9c-4254424021ea"
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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XbuLEurJkSTnJleuSjB27UsqVO2P3YQEAAAe7ePGiaXU+d+6cyWMhU+nUKmXy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\nRK5CYII=\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Définir le changement d'énergie, ΔE\n",
        "delta_E = 0.1  # Vous pouvez ajuster cette valeur\n",
        "\n",
        "# Définir une gamme de températures, T\n",
        "T = np.linspace(0.1, 5, 500)  # Éviter T=0 pour éviter la division par zéro\n",
        "\n",
        "# Calculer la fonction e^(-ΔE/T)\n",
        "y = np.exp(-delta_E / T)\n",
        "\n",
        "# Tracer la fonction\n",
        "plt.figure(figsize=(8, 5))\n",
        "plt.plot(T, y, label=r'$e^{-\\frac{\\Delta E}{T}}$', color='blue')\n",
        "plt.title(r'Graphique de $e^{-\\Delta E / T}$')\n",
        "plt.xlabel('Température (T)')\n",
        "plt.ylabel(r'$e^{-\\Delta E / T}$')\n",
        "plt.ylim(0, 1.1)\n",
        "plt.xlim(0, 5)\n",
        "plt.grid(True)\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "0b144dea"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Pour un $\\Delta E$ fixé (ici $0.1$), les changements sont plus\n",
        "susceptibles d’être acceptés lorsque $T$ est élevé, au début de\n",
        "l’algorithme.\n",
        "\n",
        "## Variation de la température et de $\\Delta E$"
      ],
      "id": "b5a73ffc-0b6c-4dbe-8af3-cc371787714d"
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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f2r4ujW3/f19r3891uYNZxmQyotsEGal+JiU4riTMVFRUNFn2kUcewezZs5vM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\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Définir une gamme de températures, T\n",
        "T = np.linspace(0.1, 5, 500)  # Éviter T=0 pour éviter la division par zéro\n",
        "\n",
        "# Définir des valeurs spécifiques pour le changement d'énergie, ΔE\n",
        "delta_E_values = [0.001, 0.01, 0.1, 1.0, 2.0]\n",
        "\n",
        "# Tracer la fonction pour chaque ΔE\n",
        "plt.figure(figsize=(10, 6))\n",
        "for delta_E in delta_E_values:\n",
        "    y = np.exp(-delta_E / T)\n",
        "    plt.plot(T, y, label=r'$\\Delta E = {:.3f}$'.format(delta_E))\n",
        "\n",
        "# Personnaliser le graphique\n",
        "plt.title(r'Graphique de $e^{-\\Delta E / T}$ pour différentes valeurs de $\\Delta E$')\n",
        "plt.xlabel('Température (T)')\n",
        "plt.ylabel(r'$e^{-\\Delta E / T}$')\n",
        "plt.ylim(0, 1.1)\n",
        "plt.xlim(0, 5)\n",
        "plt.grid(True)\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "44d7d089"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Les mauvais mouvements sont plus susceptibles d’être acceptés au début,\n",
        "lorsque $T$ est élevé, et moins susceptibles de l’être lorsque $T$\n",
        "diminue.\n",
        "\n",
        "## Faire varier la température et $\\Delta E$"
      ],
      "id": "5248ebd8-a5c0-43d3-a0c0-18c85a7db877"
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "layout-align": "center"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {}
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {}
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {}
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {}
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {}
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {}
        }
      ],
      "source": [
        "import { Inputs, Plot } from \"@observablehq/plot\"\n",
        "\n",
        "viewof deltaE = Inputs.range([0.01, 100], {step: 0.01, value: 0.1, label: \"ΔE\", width: 300})\n",
        "\n",
        "T_values = Array.from({length: 1000}, (_, i) => (i + 1) * 0.1)\n",
        "\n",
        "function computeData(deltaE) {\n",
        "  return T_values.map(T => ({\n",
        "    T: T,\n",
        "    value: Math.exp(-deltaE / T)\n",
        "  }))\n",
        "}\n",
        "\n",
        "data = computeData(deltaE)\n",
        "\n",
        "Plot.plot({\n",
        "  marks: [\n",
        "    Plot.line(data, {\n",
        "      x: \"T\", \n",
        "      y: \"value\", \n",
        "      stroke: \"steelblue\", \n",
        "      strokeWidth: 2\n",
        "    }),\n",
        "    Plot.ruleX([0], {stroke: \"black\"}), // X-axis line\n",
        "    Plot.ruleY([0], {stroke: \"black\"})  // Y-axis line\n",
        "  ]\n",
        "})"
      ],
      "id": "882857a7-99fb-48c1-b4f9-2b1b2b8f38bb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Graphique interactif à l’aide d’**[Observable\n",
        "JS](https://observablehq.com/plot/)**.\n",
        "\n",
        "## Théorie\n",
        "\n",
        "> **Note**\n",
        ">\n",
        "> (Russell et Norvig 2020, 114)\n",
        ">\n",
        "> Si le calendrier abaisse $T$ à 0 suffisamment lentement, une propriété\n",
        "> de la distribution de **Boltzmann** (alias **Gibbs**),\n",
        "> $e^{\\frac{\\Delta E}{T}}$, est que toute la probabilité se concentre\n",
        "> sur les maxima globaux, que l’algorithme trouvera avec une probabilité\n",
        "> tendant vers 1.\n",
        "\n",
        "**Voir aussi:** Laarhoven et Aarts (1987), Aarts et Korst (1989),\n",
        "Gendreau et Potvin (2019)\n",
        "\n",
        "## Définition\n",
        "\n",
        "Le **problème du voyageur de commerce** (*travelling salesman problem*)\n",
        "(TSP) est un problème d’optimisation classique qui cherche l’itinéraire\n",
        "le plus court possible pour un voyageur devant visiter un ensemble de\n",
        "villes, en revenant à la ville d’origine, tout en visitant chaque ville\n",
        "exactement une fois.\n",
        "\n",
        "Le défi est de déterminer le chemin le plus efficace, surtout lorsque le\n",
        "nombre de villes augmente, en raison de l’explosion combinatoire des\n",
        "itinéraires possibles.\n",
        "\n",
        "## Voyageur de commerce"
      ],
      "id": "617a14e7-dcc3-40a1-8df8-0d228b526e39"
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {},
      "outputs": [],
      "source": [
        "# On s'assure de toujours générer les mêmes coordonnées\n",
        "\n",
        "np.random.seed(42)\n",
        "\n",
        "# Générer des coordonnées aléatoires pour les villes\n",
        "\n",
        "num_cities = 20\n",
        "coordinates = np.random.rand(num_cities, 2) * 100\n",
        "\n",
        "# Calculer la matrice des distances\n",
        "\n",
        "distance_matrix = np.sqrt(((coordinates[:, np.newaxis] - coordinates[np.newaxis, :]) ** 2).sum(axis=2))"
      ],
      "id": "8bbc10ce"
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "output-location": "slide"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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9LPGoo+zMG29099a7N+uKA16jTP+yZawuGMXU9HL//fe7W48ePey1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\n"
          }
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def plot_cities(coordinates, title=\"Villes du Problème du Voyageur de Commerce\"):\n",
        "\n",
        "    \"\"\"\n",
        "    Trace les coordonnées données représentant les villes.\n",
        "    \n",
        "    Paramètres :\n",
        "    - coordinates : Un tableau 2D NumPy de forme (n, 2) représentant les coordonnées (x, y).\n",
        "    - title : Titre du graphique.\n",
        "    \"\"\"\n",
        "\n",
        "    # Extraire les coordonnées x et y\n",
        "    x = coordinates[:, 0]\n",
        "    y = coordinates[:, 1]\n",
        "\n",
        "    plt.figure(figsize=(6, 6))\n",
        "\n",
        "    # Tracer les villes sous forme de points rouges\n",
        "    plt.scatter(x, y, c='red', zorder=2)\n",
        "\n",
        "    # Annoter les villes avec leurs indices\n",
        "    for i, (xi, yi) in enumerate(zip(x, y)):\n",
        "        plt.annotate(str(i + 1), (xi, yi), textcoords=\"offset points\", xytext=(0, 5), ha='center')\n",
        "\n",
        "    # Définir le titre et les étiquettes\n",
        "    plt.title(title)\n",
        "    plt.xlabel('Coordonnée X')\n",
        "    plt.ylabel('Coordonnée Y')\n",
        "    plt.grid(True)\n",
        "    plt.axis('equal')  # Échelle égale pour les axes x et y\n",
        "    plt.show()\n",
        "\n",
        "plot_cities(distance_matrix)"
      ],
      "id": "bf3745a2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Comment représenter une solution?\n",
        "\n",
        ". . .\n",
        "\n",
        "Nous utiliserons une **liste** dans laquelle chaque élément représente\n",
        "l’indice d’une ville, et l’ordre des éléments indique la **séquence de\n",
        "visite des villes**.\n",
        "\n",
        "## Solution aléatoire"
      ],
      "id": "b63d19ed-7153-4f40-97be-788043e9f541"
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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crSQYjRo1SvP2SwYYMbl7925p1aqV1KlTR3bu3CmbNm2SFi1aOJsBJSOa41eU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/zR1O33zzf755gxwJ4b4IQX36WLpGY24xcr2qWLZ7192iffe88WRVLMF0OigkokDf/pp58uVapU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\np92+a9cu5/YVK1Zkezuvj43I9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          }
        }
      ],
      "source": [
        "def plot_tsp_path(coordinates, path=None, title=\"Problème du Voyageur de Commerce\"):\n",
        "\n",
        "    \"\"\"\n",
        "    Trace les coordonnées données et éventuellement un chemin pour le TSP.\n",
        "    \n",
        "    Paramètres :\n",
        "    - coordinates : Un tableau 2D NumPy de forme (n, 2) représentant les coordonnées (x, y).\n",
        "    - path : Une liste ou un tableau d'indices représentant l'ordre des villes à visiter. Si None, les nœuds sont connectés dans l'ordre d'entrée.\n",
        "    - title : Titre du graphique.\n",
        "    \"\"\"\n",
        "\n",
        "    # Extraire les coordonnées x et y\n",
        "    x = coordinates[:, 0]\n",
        "    y = coordinates[:, 1]\n",
        "\n",
        "    plt.figure(figsize=(6, 6))\n",
        "\n",
        "    # Si un chemin est donné, réorganiser les coordonnées\n",
        "    if path is not None:\n",
        "        x = x[path]\n",
        "        y = y[path]\n",
        "    \n",
        "    # Tracer les nœuds\n",
        "    plt.scatter(x, y, c='red', zorder=2)\n",
        "\n",
        "    # Annoter les nœuds avec leurs indices\n",
        "    for i, (xi, yi) in enumerate(zip(x, y)):\n",
        "        plt.annotate(str(i + 1), (xi, yi), textcoords=\"offset points\", xytext=(0, 5), ha='center')\n",
        "\n",
        "    # Tracer le chemin\n",
        "    plt.plot(x, y, 'b-', zorder=1)\n",
        "\n",
        "    # Si un chemin est fourni, connecter le dernier point au premier pour compléter le tour\n",
        "    if path is not None:\n",
        "        plt.plot([x[-1], x[0]], [y[-1], y[0]], 'b-', zorder=1)\n",
        "\n",
        "    # Définir le titre et les étiquettes\n",
        "    plt.title(title)\n",
        "    plt.xlabel('Coordonnée X')\n",
        "    plt.ylabel('Coordonnée Y')\n",
        "    plt.grid(True)\n",
        "    plt.axis('equal')  # Échelle égale pour les axes x et y\n",
        "    plt.show()\n",
        "\n",
        "num_cities = len(distance_matrix)\n",
        "current_route = np.arange(num_cities)\n",
        "np.random.shuffle(current_route)\n",
        "plot_tsp_path(distance_matrix,current_route)"
      ],
      "id": "5c252bbf"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Calcul de la distance totale"
      ],
      "id": "29823da4-e497-4f6f-9ed0-166e1e7cd1d8"
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Fonction pour calculer la distance totale d'un itinéraire donné\n",
        "\n",
        "def calculate_total_distance(route, distance_matrix):\n",
        "\n",
        "    total_distance = 0\n",
        "\n",
        "    for i in range(len(route) - 1):\n",
        "        total_distance += distance_matrix[route[i], route[i + 1]]\n",
        "\n",
        "    total_distance += distance_matrix[route[-1], route[0]]  # Retourner au point de départ\n",
        "\n",
        "    return total_distance"
      ],
      "id": "68487d12"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Voisinage"
      ],
      "id": "e2e03b4c-6a41-44b3-9e59-2567fe84e305"
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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crSQYjRo1SvP2SwYYMbl7925p1aqV1KlTR3bu3CmbNm2SFi1aOJsBJSOa41eU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/zR1O33zzf755gxwJ4b4IQX36WLpGY24xcr2qWLZ7192iffe88WRVLMF0OigkokDf/pp58uVapU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\np92+a9cu5/YVK1Zkezuvj43I9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          }
        }
      ],
      "source": [
        "plot_tsp_path(distance_matrix,current_route)"
      ],
      "id": "186894a3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Comment générer une solution voisine?\n",
        "\n",
        "## Voisinage\n",
        "\n",
        "Comment générer une solution voisine?\n",
        "\n",
        "## Échanger deux villes\n",
        "\n",
        "- **Description** : Sélectionner deux villes au hasard et échanger leurs\n",
        "  positions.\n",
        "\n",
        "- **Avantages** : Simple et efficace pour explorer des solutions\n",
        "  voisines.\n",
        "\n",
        "- **Inconvénients** : Le changement peut être trop minime, ce qui peut\n",
        "  ralentir la convergence.\n",
        "\n",
        "## Inverser le segment\n",
        "\n",
        "- **Description** : Sélectionner deux indices et inverser le segment\n",
        "  entre eux.\n",
        "\n",
        "- **Avantages** : Plus efficace pour trouver des chemins plus courts par\n",
        "  rapport aux échanges simples.\n",
        "\n",
        "- **Inconvénients** : Peut être coûteux en calcul à mesure que le nombre\n",
        "  de villes augmente.\n",
        "\n",
        "## Supprimer & reconnecter\n",
        "\n",
        "- **Description** : Supprime trois arêtes de l’itinéraire et reconnecte\n",
        "  les segments de la meilleure façon possible. Cela peut générer jusqu’à\n",
        "  7 itinéraires différents.\n",
        "\n",
        "- **Avantages** : Apporte des changements plus importants et peut\n",
        "  échapper aux optima locaux plus efficacement.\n",
        "\n",
        "- **Inconvénients** : Plus complexe et coûteux en calcul à mettre en\n",
        "  œuvre.\n",
        "\n",
        "## Mouvement d’insertion\n",
        "\n",
        "- **Description** : Sélectionner une ville et la déplacer à une position\n",
        "  différente dans l’itinéraire.\n",
        "\n",
        "- **Avantages** : Offre un équilibre entre petits et grands changements,\n",
        "  utile pour affiner les solutions.\n",
        "\n",
        "- **Inconvénients** : Peut nécessiter plus d’itérations pour converger\n",
        "  vers une solution optimale.\n",
        "\n",
        "## Mélanger le sous-ensemble\n",
        "\n",
        "- **Description** : Sélectionner un sous-ensemble de villes dans\n",
        "  l’itinéraire et mélanger leur ordre de manière aléatoire.\n",
        "\n",
        "- **Avantages** : Introduit des changements plus importants et peut\n",
        "  aider à échapper aux minima locaux.\n",
        "\n",
        "- **Inconvénients** : Peut conduire à des itinéraires moins efficaces si\n",
        "  mal géré.\n",
        "\n",
        "## Générer une solution voisine aléatoire"
      ],
      "id": "d661a7df-57a7-4689-82f5-38fcf70d7626"
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Fonction pour générer une solution voisine aléatoire\n",
        "\n",
        "def get_neighbor(route):\n",
        "\n",
        "    a, b = np.random.randint(0, len(route), size=2)\n",
        "    if a > b:\n",
        "        a, b = b, a\n",
        "\n",
        "    new_route = route.copy()\n",
        "    new_route[a:b+1] = new_route[a:b+1][::-1]  # Inverser le segment entre a et b\n",
        "\n",
        "    return new_route"
      ],
      "id": "2431cc10"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Recuit simulé"
      ],
      "id": "9ff98694-5061-4e92-b923-1b9b10a3b6f4"
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {},
      "outputs": [],
      "source": [
        "def simulated_annealing(distance_matrix, initial_temp, cooling_rate, max_iterations):\n",
        "\n",
        "    num_cities = len(distance_matrix)\n",
        "    current_route = np.arange(num_cities)\n",
        "    np.random.shuffle(current_route)\n",
        "\n",
        "    current_cost = calculate_total_distance(current_route, distance_matrix)\n",
        "    \n",
        "    best_route = current_route.copy()\n",
        "    best_cost = current_cost\n",
        "\n",
        "    temperature = initial_temp\n",
        "\n",
        "    for iteration in range(max_iterations):\n",
        "\n",
        "        neighbor_route = get_neighbor(current_route)\n",
        "        neighbor_cost = calculate_total_distance(neighbor_route, distance_matrix)\n",
        "        \n",
        "        # Accepter le voisin s'il est meilleur, ou avec une probabilité s'il est pire.\n",
        "\n",
        "        delta_E = neighbor_cost - current_cost\n",
        "\n",
        "        if neighbor_cost < current_cost or np.random.rand() < np.exp(-(delta_E)/temperature):\n",
        "            current_route = neighbor_route\n",
        "            current_cost = neighbor_cost\n",
        "\n",
        "            if current_cost < best_cost:\n",
        "                best_route = current_route.copy()\n",
        "                best_cost = current_cost\n",
        "\n",
        "        # Refroidir la température\n",
        "        temperature *= cooling_rate\n",
        "\n",
        "    return best_route, best_cost, temperatures, costs"
      ],
      "id": "780f1d14"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Remarques\n",
        "\n",
        "- Lorsque $t \\to \\infty$, l’algorithme présente un comportement\n",
        "  caractéristique d’une **marche aléatoire** (*random walk*). Pendant\n",
        "  cette phase, tout état voisin, qu’il améliore ou non la fonction\n",
        "  objectif, est accepté. Cela facilite l’exploration et se produit au\n",
        "  début de l’exécution de l’algorithme.\n",
        "\n",
        "## Remarques\n",
        "\n",
        "- À l’inverse, lorsque $t \\to 0$, l’algorithme se comporte comme une\n",
        "  **montée de colline** (*hill climbing*). Dans cette phase, seuls les\n",
        "  états qui améliorent la valeur de la fonction objectif sont acceptés,\n",
        "  garantissant que l’algorithme se dirige systématiquement vers des\n",
        "  solutions optimales — spécifiquement, vers des valeurs plus basses\n",
        "  dans les problèmes de minimisation. Cette phase met l’accent sur\n",
        "  l’exploitation des solutions prometteuses et se produit vers la fin de\n",
        "  l’algorithme.\n",
        "\n",
        "**Voir aussi** : [Properties of Simulated Annealing - Georgia Tech -\n",
        "Machine Learning](https://youtu.be/enNgiWuIHAo). Vidéo Udacity (4m 10s).\n",
        "Publiée le 2015-02-23.\n",
        "\n",
        "1.  **Exploration** :\n",
        "\n",
        "- L’exploration implique de rechercher dans une large zone de l’espace\n",
        "  de recherche pour découvrir de nouvelles possibilités, solutions ou\n",
        "  informations. L’objectif de l’exploration est de rassembler un\n",
        "  ensemble diversifié de points de données ou de solutions qui\n",
        "  pourraient potentiellement conduire à la découverte de meilleurs\n",
        "  optima globaux. Elle empêche le processus de recherche de se bloquer\n",
        "  dans des optima locaux en encourageant la considération de régions\n",
        "  moins visitées ou inexplorées de l’espace de recherche.\n",
        "\n",
        "- Dans les algorithmes, l’exploration peut être mise en œuvre en\n",
        "  introduisant de la randomisation, en essayant de nouveaux chemins ou\n",
        "  des chemins moins prometteurs, ou en utilisant des stratégies comme le\n",
        "  recuit simulé ou les algorithmes génétiques qui encouragent la\n",
        "  diversité.\n",
        "\n",
        "1.  **Exploitation** :\n",
        "\n",
        "- L’exploitation se concentre sur l’utilisation des informations connues\n",
        "  pour affiner et améliorer les solutions existantes. Elle implique de\n",
        "  concentrer l’effort de recherche autour des zones censées contenir des\n",
        "  solutions de haute qualité basées sur des connaissances ou expériences\n",
        "  antérieures. L’objectif est d’optimiser et de peaufiner ces solutions\n",
        "  pour obtenir le meilleur résultat possible dans ces régions.\n",
        "\n",
        "- Dans les algorithmes, l’exploitation peut être observée dans des\n",
        "  stratégies telles que la montée de colline, la montée/descente de\n",
        "  gradient ou les algorithmes gloutons, où la recherche est axée sur\n",
        "  l’amélioration locale et la réalisation de gains incrémentaux.\n",
        "\n",
        "## Exemple"
      ],
      "id": "860947ce-f006-41b3-bab0-1abd24714dc1"
    },
    {
      "cell_type": "code",
      "execution_count": 42,
      "metadata": {},
      "outputs": [],
      "source": [
        "# On s'assure de toujours générer les mêmes coordonnées\n",
        "np.random.seed(42)\n",
        "\n",
        "# Générer des coordonnées aléatoires pour les villes\n",
        "num_cities = 20\n",
        "coordinates = np.random.rand(num_cities, 2) * 100\n",
        "\n",
        "# Calculer la matrice des distances\n",
        "distance_matrix = np.sqrt(((coordinates[:, np.newaxis] - coordinates[np.newaxis, :]) ** 2).sum(axis=2))\n",
        "\n",
        "# Paramètres du recuit simulé\n",
        "\n",
        "initial_temp = 15\n",
        "cooling_rate = 0.995\n",
        "max_iterations = 1000"
      ],
      "id": "6182681e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Algorithme de Held–Karp\n",
        "\n",
        "- **Introduction** : 1962 par Held, Karp et indépendamment par Bellman.\n",
        "- **Problème** : Résout le problème du voyageur de commerce (TSP) avec\n",
        "  la **programmation dynamique**.\n",
        "- **Complexité temporelle** : $\\Theta(2^n n^2)$.\n",
        "- **Complexité spatiale** : $\\Theta(2^n n)$.\n",
        "- **Efficacité** : Meilleur que la méthode exhaustive $\\Theta(n!)$, mais\n",
        "  reste exponentiel.\n",
        "\n",
        "## Algorithme de Held–Karp"
      ],
      "id": "3240a627-d7c8-4527-ba0f-fcc6c46595c4"
    },
    {
      "cell_type": "code",
      "execution_count": 43,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Held–Karp pour trouver le coût minimum: 386.43"
          ]
        }
      ],
      "source": [
        "from itertools import combinations\n",
        "import numpy as np\n",
        "\n",
        "def held_karp(distance_matrix):\n",
        "    # Number of cities\n",
        "    n = len(distance_matrix)\n",
        "\n",
        "    # DP table: dp[subset][last_visited] = minimum cost to reach `last_visited` with `subset` of cities visited\n",
        "    dp = {}\n",
        "\n",
        "    # Initialize the DP table with the distances from the starting point (city 0)\n",
        "    for i in range(1, n):\n",
        "        dp[(1 << i, i)] = distance_matrix[0][i]\n",
        "\n",
        "    # Iterate over all subset sizes\n",
        "    for subset_size in range(2, n):\n",
        "        for subset in combinations(range(1, n), subset_size):\n",
        "            # Bitmask of the subset, excluding the starting city\n",
        "            subset_mask = sum(1 << i for i in subset)\n",
        "            for last in subset:\n",
        "                # Update the DP table with the minimum cost for this subset and last city\n",
        "                prev_subset_mask = subset_mask & ~(1 << last)\n",
        "                dp[(subset_mask, last)] = min(\n",
        "                    dp[(prev_subset_mask, k)] + distance_matrix[k][last]\n",
        "                    for k in subset if k != last\n",
        "                )\n",
        "\n",
        "    # Find the minimum cost to complete the tour back to the starting point (city 0)\n",
        "    full_mask = (1 << n) - 2  # All cities visited except starting city\n",
        "    return min(dp[(full_mask, last)] + distance_matrix[last][0] for last in range(1, n))\n",
        "\n",
        "# Example usage with a sample distance matrix\n",
        "# distance_matrix = [\n",
        "#     [0, 10, 15, 20],\n",
        "#     [10, 0, 35, 25],\n",
        "#     [15, 35, 0, 30],\n",
        "#     [20, 25, 30, 0]\n",
        "# ]\n",
        "min_cost = held_karp(distance_matrix)\n",
        "print(f\"Held–Karp pour trouver le coût minimum: {min_cost:.2f}\")"
      ],
      "id": "28a12471"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Held et Karp (1962) and Bellman (1962)\n",
        "\n",
        "## Trace d’exécution"
      ],
      "id": "b58dd28f-94e9-4258-8ae5-8a6f7a8db2c3"
    },
    {
      "cell_type": "code",
      "execution_count": 44,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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WAUSRb7jhhsDocEFkA1nJnTp1auBIU/b01ltvBTenprYhCiIh24SYRIq/hxOL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\nuUqd9VuON8jbb3ftYth3O+8sbbxxaD9WaA9cv8hi4UV5KFUTRPiwG9V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66amMw4soSjuZ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g/rTXxNqmdZOzCIzkTl5EP6WKfTn9dE5fIkXClhQ/wMozwoa2GZ9gkYnk8+cdlYxYTFA1mmZCeS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\nE8xsuO8+1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/1eryTWKVykO2Rz/lJr/aEuaqGZ6qYJ9Q4QDQetL1jsHB8i6twDjOrFD/Cj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gErbI5qzh33BFRz0lOrW5pzNMgjzbEdakkXwdachvgTj+JBHEF5S3O4ETqqOXfeFdh1Tlq8\nVZlYYLOldY4tNadbt3AfiXCr5lRHqqU5DL74NYd2g5bm3PWvwK5z0qpbmqN1jn2RDYYItuaUQzYe\nwONWoSA1h3oQzQ0QNefu2wOqOYfTcuDNibJiRvx/tc6xH/54TocOJrgsgkcUIh16GQ8bZgkBN1fc\ndNVBEir5g8rcCA0dGrgqYprGL1mCtM59rLy9teGi0LFSuRim8iI0cHhsWpoZJtuwoc66CI7mkHrY\nbX1U8QeVg6U5PftbmmNtuKQ5tmPfPmDbNlMVeuqp4T4a4WbNqYV9aICd1ryHYGpO+pnnWZpjJdCl\nObaDwxh//908VnuoCKbmxCHF2l9VQ5oJKgdrnXP2EK1zbG6DoQS6CIXmcH3TGNst7bGCysHSnPMu\nVjzH5khzQocqlvNlnZCeXnAiVrCqa1q2RPrVNwMdMhE7YiDQp7rsL2yGMurCbZqTdvO9wCmZiD3n\nfOCiWGmOjTPqxbNWEsLmmvPvJ4Gmmaja9QLgqpekOTZj9WogKwto3hyIM25MQjh7b/XkK0CDTMS2\nSAZuHi/NsRlbtxorXOpNs2bhPhrhOsKhOa+8A9TKRGxCKvDAP6U5NoODGTdtMpdA+/bhPhr3o4rl\nfFknq2qYbRQkyNU1rIZlaVrV9k0lQjZDgyWEGzWH6yxLc05tLM2xIcqoC7euc2LbNJDm2BDNkRCu\n3Vu1rCvNsbnmFO1jK4SD1jnNa0lzbFq0w7gOvZUrGrttEURUseyHYvPZZyaVSgN4evUEql3iREEe\ntmqY+TnCRmzeDBw4YF7+pk3DfTTCtYRYc6zFjzTHllBvmFFnpbIy6sJt6xwWCgl7wUplDu4jXbuG\n+2iEa9E6R+QiGwzhZs3ROseeaF5WaFFg+VgoPkEUID8K8jhDhJRRF27RHCWz7K85zKjTY1mIoKJ1\nTsTzxx/GY7lRIzNLQgg3aI6SWfblzz+BvXtNQZXGCYmgo71VxMP7wfr1pni9Y8eIPx0hQVYYYeDI\nEfNBvxcFEeybUdcwG+EmlFW3L7LBEG5EySz7a063buE+EiECh4p27K85nTvnuRQI4XS0t7IvK1YA\nXi/Qti1QuXK4jyYykLSHWYRUEWsvtm8H9u0DqlUDWrQI99EIERh4Yz140DxWu5b97gcbNhgbOGXU\nhZvQhsuecKYRN1xENhjCTSiwbF+UQBduRAl0+7J0qfmsdU7oUGA5DEiE7Isy6sKNMKjMavwqVVQp\nYjeWLzevDTPqlSqF+2iECBwK8tiTdeuAQ4eA+vWBOnXCfTRCBA4ls+zJrl3mg1WDp5wS7qMRInBo\nnWNPuMZZu9YUcHbqFO6jiRwUWA4DWvjYEw2WEG5FvoP2RVU8wo3Qv5cD4jiQsnz5cB+NyI+G2Qi3\nosIde2sOAzzszhLCLSimY084nDgnB2jd2vi6i9CgwHIY0MLHnjCbvmePqeqkEAnhFpRRt3dGnX6D\n9B0Uwi3I8su+tkjskiCaIyHcaPnFCjWu44V9UAJduBXtr+yJNCc8KLAcBiRC9hYhZdSF25Dm2Huw\nBBNZ2ggLN6EEuj1JTDT3g9q1gQYNwn00QgRec2T5ZS84t4bzazisnpZfQrip01kdofbsmFuzxjxW\n0U5oUWA5DCjIY0OSk/HbN/ssNdKUdOE21KplQ5KTsWz2HktzNFhCuA2tc2yqOV/stDSH1coaHi3c\nhJJZNtWc6dstzeFwYlojCeGmACaH4dLui4kTYQOSk7Fq5hZkpWeiRQsgLi7cBxRZxIT7ACIRBXls\nVr5zzz1ImvYzdvgeQUVkok3KAuA/TwEtW4b76IQICNpw2U9zMqZ9hTW+/8CDGHT5awHQ4GFpjnAN\nWufYT3N806Zjme8pAHHotmcZ0PEuaY5wDdIcG5GrOZg+HUu99wBohq7b1gNn3SDNEa5BCXR7as4y\n73UAuqPrmbuAEVdIc0KIKpbDgII8NhKhHj2AmTOxzGcMTjthOWK+mGae5/eFcAHacNlPc1b52iEb\nMWiJDag2+xNpjnAVWufYT3M2+ZoiBdWRgH1o/M3b0hzhKhTksZ/mJHurYQuaohyOoN0Pb0hzhKvQ\n3sp+mpPljcLvaE+jEnT55XVpTohRYDkMaPFjE8aNM7vf7GwsQ1frqS74zfS18Hl+XwgXoCCPTZDm\niAhBGy57a44nR+sc4S7kdWpfzWmP31Eh55D2VsJVaG9lP81ZjXbIRAU0wVYk5CRJc0KMAsthQBsu\nG5CcDEybZolQMuKwFU1Qnhl1rDbfZ3B5+nTzc0I4HCWz7KU5WYjJzagDXZE7NVSaI1yENlz20hyy\nHKYzS5oj3IjWOTZAmiMiCMVz7Kc5v6GL9VnrnPCgwHIY0IbLBiQlAV6v9dADn/WRhXLYjkZ5P5OT\nY35OCIejDZe9NCcK5jPZhOZ5PyPNES5BmmMvzcmvO9Ic4UakOTZAmiMiCMVz7K05Pv+T2luFDAWW\nQwwTKhkZQFQUUKlSqP93cZTatc2LYI2xScFAzLHCy+/gWmQgd7RrdLT5OSEcjlpE7aU50fDiYnxq\nPf4AV+IAqpufkeYIl6Agj700h1yCKdbnaRiGHWhgnpTmCJeg6kH7ac5IfGYFer7F2ViNU82T0hzh\nErTOsZ/mXISZqITDWIFO+AlnmCelOSFDgeUwLnw8nlD/7+Io8fHAsGFATIz15RDMQCNsxz7UxGSM\nMs8PHWp+TggH4/MpsGxHzemLHyzfwUOojPdwNXzR0hzhHpTMsp/mdMQqS3c4NPRtXIes6Ipa5wjX\noOpB+2lOY2y39leE65z06OrSHOEalMyyn+bUQDIuxyTrMeM5SdH1pDkhRIHlEKOFj4145hkT4Y+J\nQQxycB3eRjlk4SdPH/xWsbf5vhAO59Ah0yXEDonc+66wgeYwrzgWE1AV6fjD0w7zKw6W5gjXoEoe\n+2kOYadEbSRhp6chplUYLc0RrkFBHntqznn4Gi2RiFRPHD4ofy18T2tvJdyBYjr21JyeWIIeWIJM\nTyW8U+4f8D4lzQkVCiyHGG22bETLlsCSJcCQIVYbRT3sxoio6UCTJph4yQyk1GoZ7iMUosxo4WNf\nzamGNIyJ+tDSnM+HTcDOytIc4XyysoDMTNN9WLFiuI8mwjlGcyrgCK6Leg9RTRtj7kUvY222NEe4\nA6117Kk5UfDh2qgJqNi8Pn4b8hB+2SvNEe5AySx7ag65POoTxLeqic1Db8es9dKcUKHAcohRYNmG\nYvTZZ8C+fcDatTh772ScevtAHCwXhwkTjI2AEE5GCx97a06nffNw5qMDkV0lDm+/fXSwsRCuCPDI\n8st+mtN036+48NXzgOrV8e67wMGD4T5AIcqGLL/srTkJ+9bhsg8usDTn44/N00K4Za1TrVq4j0Qc\nqzmV923DNTOGwxNXHV9+CWzerHMUChRYDjHyHbSxR88pp8BTIx5jxwJVqgCrVwPffx/uAxOibCiZ\nZW/N4edRo4BatYAdO4AZxo5QCMeiZJb9NWfQIKB5c+DAAWDSJCXRhbNhcoTB5cqVTaeEsJ/mnHYa\n0LWr6WZ55x1j0SaEk9Fax96aw0/nnmu0hppD7RHBRYHlEKMgj/2JiwOuvNI8/vRTYNeucB+REKVH\nCx/7U6ECcO21poNrzhxg/fpwH5EQpUfrHPtDraHmUHt+/RVYvDjcRyRE6ZHm2B92r3BvxT3Wxo3A\nV1+F+4iEKD0MUh45Ymx9eR8V9oRz/Ro0AJKSgClTwn007keB5RAjDzBnwKx6797GK5JZLrWnC6ci\nzXEGrB4cPNhUXVFzOHRRCCeiZJYzYJfE6NHmMauW9+8P9xEJUTrUDeoM2A169dXm8cyZwNat4T4i\nIUqHLL+cAQP/111nPi9YAKxYEe4jcjcKLIcYbbicw6WXAgkJwLZtwBdfhPtohCgdquRxDgwsN20K\nJCfD8iEUwokomeUcTj8d6NwZyMiA5bes9nThRLTOcQ5t2wL9+xut4VwJVn0K4TQUz3EOrFgePtw8\nnjgRSE0N9xG5FwWWQ4wWP86B0+zZKsr2LbZsbdgQ7iMSouRo8eMc6A3JzHr58sCiRWbIsRBOQ+sc\n57Wnc/gQ1zjffBPuIxKi5EhznAWDPPXqAXv2mHlbQjgNJdCdBZNZbdqYe8X772uuRLBQYDnEqF3L\neUNGzz/fCBCreQ4fDvcRCVEytPhxFrVrwxrm529PZ/WyEE5CySxnERsLa2gxmT4d2L493EckRMmQ\n5jiLcuVMEp3J9O++A37/PdxHJETJUDLLeUl02vBwwOuqVcYWQwQeBZZDjITIeVx4IdC4sfEfVHu6\ncBracDmPM88EOnY0PstMaDGxJYRTUDLLebRvD5x1FpCTY9rTOV9CCKcgzXEejRqZwVpkwoS8taoQ\nTkB7K+cRHw9ccYV5zEF+7JgQgUWB5RDCBfuh5Ex4Ug6gyhGVoTnN+J0Z9oULgaVLw31EQhSf9H0Z\nwIEDiM05oNPmoMz6mDGmknDdOmDevHAfkRDFJy3pkKU5VXNSdNocxMiRQN26wK5dwOefh/tohCg+\nabsPGs3xyjzTSZx7LtC6tfE8pfepkujCKaTvTjd7Kygj4iS6dwdOO814u3NQOmNzInAosBwqEhOR\nPuxKKy1b9ZO34KlV06ziExNDdgii9HCzdfHF5vEHH1j3EiHsTWIifMNHIO2Vd4HJnyC2ZR1pjoNg\nUJnBZTJ1KrBjR7iPSIgi4HpmxAikP/KC0ZyebaU5DoLe7pwrERUFzJ8PrFkT7iMSopia86/xRnPO\nO12a4yCoNddcA1SqBKxYAfz0U7iPSIjiaU7a1bdYmlP10gulOQ7jssuAGjWALVuAL78M99G4CwWW\nQyVCPXogbfaPAHyoinQzDnfGDOt5BZedQb9+QLt2pj39vfeUWRf215yMmd8gB1GogEyU8x2R5jgM\n2mH07QtkZ5vMutrThd01BzNnIg1VradifSnSHIfRpAkwZIh5zHXOwYPhPiIhiqE5PmmOU2GAh4Ee\nMnkykJQU7iMSomjNSfdVtp7SOsd5MJHFhBa7Q2fNAjZtCvcRuQcFlkPBuHGWAVh6TkXry6NtE4wW\n0BiM3xe2hwLEATdVqgB//GEqeoSws+ak5VSyvpTmOBd2SnCg359/AtOmhftohDi55mRn+3AYlRAF\nLyrjkNY5DuS884AWLYCUFNOhpfZ0YWfN4V4qDbF5ax3trRxHz54mXpeZaZLorL0SwnZIc1wDLXgG\nDjTrG86VyMgI9xG5AwWWg01ysokGZGdjH2paTxXw4+ECiGO4+XPC9lSvDlx1lXlMD8KdO8N9REKc\nWHP+Qg3rKatLwo80x1FUqGA83tkyOncusHZtuI9IiOJpjsf/fWmOo6DW0BKjYkVg2TIzW0IIu2pO\nJsojPbdL4uhaR5rjuMKdyy83w7U2bzZVhELYVXO88CAZ8ccX7iie4yjYncUhovv2mW4JUXYUWA42\n7OnxenEQlTEDpr+wFTYU/Bk6h6v3xzF06QKccYa5hzDLxc9C2E1zuPCZiuHWU9IcZ9O0KXDBBebx\nu+8aOx4h7KY5PiZcMcJ6qiWOmR+hdY6jqFkTuPRS8/jjj83GSwi7aQ6ZjqHwIgpNsQUxyDeJSZrj\nKCpXBq6+2jym7ykDzELYUXPm4xwcQBzicAAJ2J/3M9IcRxETY5Lo/Ex/999+C/cROR8FloNN7drw\neaLwAa5ECqpbAZ5++L7gz0RHm15n4RhGjTIbLw7UolW2ELaBWhIVhXnojy1oingk40J8UfBnpDmO\nY/BgoHlzMzj0ww/Vni7spzm/oYv1UREZGIVjyj+kOY6jVy+ga1fTIqr2dGFHzdmEZlaQh9Y7V+DD\ngj8jzXEcbdoA555r4nfUHFpjCGEnzdmHBEzDMOspak408vm2SHMcR/36ZvYimTjRWICJ0qPAcrCJ\nj8eifndjmae7tdm6Bu8iyqrryYVpkqFDTf+PcAxsEWV7Otu35swB1q8P9xEJkUt8PJLOH4PpHlOt\nfCU+QEXkW51Lcxzdnk5rjF9/BRYvDvcRCZFLfDwOXjgakzxXWl+OxGeIx4G80yPNcSRc31x5pbEA\n27gR+PrrcB+RELnExyN7yAi877kaPngwEHPQGNvzTo80x7EMGwY0aGAKRKdMCffRCJFLfDx8Q4dh\nYtTVyEI59MASdMSqvNMjzXEsZ58NtG1rhhVPmKDCnbKgwHKQ2b8f+Kjxv4Fy5TA6+jMk4K+CIlS1\nKvDMM8E+DBEEWD3IKkIav6s9XdgFXo8TO/4HWeUqo1fUErTH6rxvSnMcTa1awOjR5vGkSeb+IoQd\nmNz7RaSVq4HWUYnogwV535DmOBoOK/a3p7M7a+vWcB+REIYvz3sFu8o1Rh3P3oJdWdIcR1OunCnc\n4cu4YAGwcmW4j0gIw0+jXsbamPao6jmE0fgk77RIcxyfROc6h+ud1auB748xFhDFR4HlIMJWHgYc\nMyrGocv9g9F7SC1TduZvl6Br+JIlQMuWwTwMEUToe0r/07/+Mj6EQoSbH38E1v9VE7FXDcWoCw9J\nc1zG6acDnTub9vT33tP0dBF+uBBfuLkOyo0ahqvO3weP1jmu4tRTgXPOMVrDuRJHjoT7iESkQxu6\nr1bUg2fEcIwZsAvlonLb0bW3cgWsWB5umu7w/vtAamq4j0hEOrShm/JLQ+vCvLTfLsRG5Q47kea4\ngrg406FFPv0U2LUr3EfkTDw+H+vbRDBg2+DnnwPVqgEPPWSKk62pouzvoVeP7C9cwZ49wOOPm83W\n9dcDPXqE+4hEpEJ5efhhE3T8+9+Bbt2kOW4kLQ149FGz2RoxAjjvvHAfkYhUqDWPPGKSq/SpGzhQ\nmuNGsrKAJ54wm62zzgIuuyzcRyQiFSY4nn7aVM+zhdkaMqm9letgdOKll4C1a4GOHYF//tNUFgoR\njmvxjTeAFSvyXYsHFM9xIyzY+eUXoHFjYNw4U4wuio8qloOYTZ8+3TweOzY3qEwYTD7lFAWVXUSd\nOsAll+S1p3N9K0Q4Fj4c6sZADytaOXTJQprjOmJjzX2F8D6zPZ+1pBChZOpUE1Ru0sQMXbKQ5ri2\nPZ3FWd99B/z+e7iPSEQq33xjgso1ahg/Xgtpjmvb0ytXNnYYtMUQIhwsXWqCypyvdPnluQkOaY4r\nYaIyIQHYtg344pi596JoFFgOUmUH2wVzckxlR/v2wfhfhJ3o08dkMQ8dMtku9QGIUENXnVWrgEqV\nTDWZKjvcDe8rvL/wPsP7De87QoSSDRtMkJHOF2PG5LnuCHfSqJGZNU044IadE0KEukNw5kzzmG3L\nDPQI98LY3RVXmMcc5MfXX4hQkp6eZ3V58cWqC3Q7vKdwUDr30F99BSQmhvuInIW2AUFg2jRg505T\nycrWUOF+KEBXXWUqCdm2NW9euI9IRBLc4PsXPqyep1eUcD+8v/A+w/Z0Vo4KESqYyKD3JeEQ24YN\nde4jgQEDgFatjA3PBx8oiS5CPJh4otGe3r2Bdu109iOB7t2B004zdoPvvGOS6UKEismTzR6LzeZn\nnqnzHglw9Nn555t7DjWHncCieCiwHGAYVJw711TuMONRvnyg/wdhV+ilzaotwiAP7VCECAWffAIc\nPAi0bWuGu4nIgPcXtqfzfsNk1po14T4iESmwRZDjIurVAwYNCvfRiFBBrbnmGlPVs3w58PPPOvci\nNPzwg+mS4Frbbz8nIqc9ndYnW7YAX34Z7qMRkQK7QBctMlZQLB5TJ2jkcOGFxmd5//68wi1RNAos\nBxC/DQK54AKgadNA/nbhBGiHQVuM7GyT5VJ7ugg29J6jDQaDjGwN1cInsqC37ZAh5jHvP0wwCBFM\n6D03Z47RGnp9a7hJZEH/QfpM+pOae/eG+4iE26GP+2efmce0+qpSJdxHJEIJfZaZ0OI9Z9YsYNMm\nnX8RXFilyrk1hF7utWrpjEcSXNeycIdJBQ7zW7Ys3EfkDBRYDiAffWQGtzVvblpDRWTCSoratYE/\n/zS2KEIEi8OHCy58atbUuY5EzjsPaNECSElRe7oILmxDpr+u1wv07w80a6YzHon07Gla1DMzTRKd\n14MQwRxMzGutS5d8g4lFRNG6NTBwoLkeOFdC7ekimDCRxZgOiwTPOUfnOhKpW9f4ahNafx04EO4j\nsj8KLAcIVgwuXmyqBplV1RCbyKVCBWODwmuAtii0RxEiWAsf3uiYzDr7bJ3jSMVvvcT2dGbVFy4M\n9xEJt/L118bmiUksf6W8iDxYOcihWvTzZ/Xg7NnhPiLhVri3+v13U7Xqr5QXkQnvOfTz37fPeN8K\nEQzWrzfWO9HRpitLMZ3IpV8/4+fPblB2hTKxJU6MAssBgBmtSZPM41GjTLWqY+DBr1tnPouAwSou\n2qGQd981NilCBBImLBYsMO069PZ2zMJHmhMUGOgbPdo8ph8YN15CBBIOifT7W9JvkElURyDNCWp7\nut9zm/6nQgQSDomk3Yq/G5D+yo5AmhPU9nR+/ukn4/MuRCDhkEgOCSXsPq9f30HnV7oTcPyWb7Rf\n+uMP4NtvA/9/uAmnhCJsCzMXzGAwcEh/XcdMDE1MBEaMMNGINm3M55EjzfMiIPCGxAAzK0rZxqcs\nlwgUbAn1L3yYwOAALdsjzQk6vXubNmG2iKo9XQQSWh28/76ZH8B1DpcNtkeaE3R4HZx7rrk+2J7O\ne5MQgR5MfOqp5v5me6Q5QYeBPm5fCe9JtAATIlDMnGkGE/M6O/98h5xX6U5QqV7dFFP4O4V37gzu\n/+dkFFguI/Pnm8rB2FgHTQylAPXoYdTTb4zHzzNmmOcVXA5oezqrun791bTzCREI+FZlRSpbAumv\na3ukOSGB9x8OcOQiaONGY1sgRCD47jtjeUDrA+agbY80J2TQ35+bcG7GP/00dP+vcDesRuXamWto\nRwwmluaEDHretm1rkg4MLqtwRwQCdt18843DBhNLd0IC/f3POMMUV7Bwh5/F8SiwXAaYsfj8c/OY\nQWXHtGiNGwekpx//ruDXfJ7fFwGBtii0R/EPd9y/XydWlI3Nm4F588zChxYY9ACzPdKckMF2LS6I\n/QmIrVtD938Ld8L71tSp5jE9TmmBYHukOSGDU9P97en0pVy5MnT/t3An7AL1DyYePhxISID9keaE\nDK5/r77a3Ivov/3996H7v4U7YQjEn6RgFw6H9jkC6U7IYDyHDf7bt5v9lTgeBZZLSf6MBTMYnTrB\nOf4706YhKxtYhJ54CbfhddyIXahrvs8/aPp0eS4HEP/1cfiwsU3R9HQRiIUPp2M3aeIczfFlZ2MD\nWlp68yzuxkY0N9+X5gQcDprgMEdqDe9T9IwTojRQa2i7w2uIDU2OWOvkao4/eT4P5+BpjMMqtDff\nl+YEHHbPsHKZ8B6Vlhb4/0NEDqx8p79yixbAWWfBcZrzK7rhSdyLX9AL1qwnaU7AYfeMvz2d18vu\n3YH/P0TkwA6/P/8EatVy0GDifLqzDq0tzZmL/vAit71DuhNQOCCdSXQmtubMMUMeRUEUWC4ldJFg\nxoKZC39FqhPY9ft+TPGOwDg8g3dwLf5AW6xAJzyG8ZiJC5GNaCAnx/Q0ioBAAfJXtFOE5s7ViRWl\nY/Zs0ynBSviLLnLGWfTuTsJSb2c8jX/jOdxl6c1GtMB/cDc+wqXIQAVpThCgXQG9t7nZoieYEKXh\nl1/MwBJWwvuHQ9oerl9yM7jr0QpTcAk2oxn+i5vxFq5DKmKlOUGAVV6nnGKCympPF6WFesPBbP7B\nxLa3wDhGc3ajDt7D1diKJtbnl3Eb9iFBmhMEOFOiVy8gK8t4vKs9XZQG7qvyDyYuX94h5zFXd9JQ\nFf8Pf7M0h+sd7re2o6H5GcV0Akrz5maGFosu3n3XdNeIPBRYLgUbNpjMFhc79NBlBsPO8Ia7aBHw\n3HPAw283wlwMwEFUQWNswxX4EH2wADmIxhe4EI/jASRGtTaRKxEw6MHNBTJhcpFJCSFKAjPps2aZ\nx7yW2H5sZzjEidNzx7/VGP/DP7AFTVEFB3EhvsAgzIYHPnyHs/AQHsGKqC7SnCC1p9Mqhf64bBcV\noiRwKNKUKeYxg8q8jzkCrl+ionAIlawEug8etMNqlMcRLEEPS3N+jjoTvlpa5wQSromvuQaoVMnY\nYfz4Y0B/vYiwwcQXXgjUzW2mdIrmsDjnLVyPLJRDK2yw1jws4HkYD2NO1Pnw1pTmBJrLLjNWKdu2\nAV98EfBfLyJkMDHjr336mOSoY6hdGz5PFCZgLNIQiybYingkWwHmJ3EfPsdwHImqqP1VgLngAmOV\n8tdfwMcfB/q3OxsFlktIRobJUDBTMWiQadOyK7t2AZMnG/sdtkMzIF6hWgX06X4Y90U/i/vxJPpi\nAa7Eh7gLz6EO9mCXpwH+0/hVfDgr3rJuEIGjQwegXz9z8+LrwYC/EMVd+EyYYD6zLbRVK/ueN7av\n0k3n3nvNDXdfeiXUOqUGLouabGXRL8IXGIbpuB9PoCm24ICnBl5v/DT+b3K89W9F4GjUCBg61Dzm\n9aP2dFFcuMaZNMlUY/De1bOng85dfDx8Q4dhUtRVSEa8pTM34TUroMwA8yFPVUxoPB4vTYhXc1bg\nTz2uuMI85vpTzW+iJHDtQE933rto9+WoC3/YMMyIGo7taISa2Ieb8V88godwGhYhy1MBnzW+A0++\nEW8FQEXgYHEXE1pMbH31lebPi5Ixf76ZXeOYwcT5iY/H92fej1WeTqiMQ7gRb1hJrHMw30qof+0Z\nhEdbTcTaPfHhPlJXwYIdFpaysp2Fm0uWhPuI7IPH59Ms1ZLAzfnPPxtvUwZs7TY4i8HKZcuABQtM\nINlP48ZA377GI7HijkTz4JgBflnRFTGr4nB8NeQNeGOrWyJ76aVmEqYIDPSpfPxxYM8eoH9/Z9mo\niPBBLyfaGXDv8vDD9uySoOUCbV7YOu+XFbYMcXPYqUoiok47XnO80eXwbcVBmD5iAjIrxVmDWLiw\noy+5I9pfHQCTES+8YO4HnTsDN9ygcyuKZulS4H//M1pDzaH2OIlFn27HO1fMQ4WsdDzgexS1sdd6\n3hcdg8WV+mHyqClIj4m3KvtpK0QbB7ut55wM29IXLzZVPffco3MrimbTJuDZZ8396b77THDZSayb\nsxUvXjTf2ojd7XsGLbDJfCMmBqsrdceHV3yJ/d4aLGy29Ia645iWewfAblDaxbF6+cEH7blOFvZi\n3z6zvmHs5KabgI4d4ShYQPjEPQeQNXka/p7zBrrlLD76vc3RLTGx3DX4c+hNQPXqOP104OKLja2Z\nCAwcVswhs9y7UnPiHbZODgaqWC4Bv/1mgsrciDA7aqdNSKHVyRVMWwcXaPffbx5bN9qWLU16he70\nXOGQ6GiUGzoYQ5c/ivHPVbcCQgcOAG++aT74WJQdLiLZns7TPm+e8ZIT4mSw4ss/ffbKK+21WGZa\nklrz2mvAQw+ZhBYr8jngi8EEfjAxFdW6cM2JGnoR+i9/Hg+9GIf27U11JNtgGQhl8kWUHZ5u3q94\n3Sxfbu5hQpyMgweBjz4yj5nocdpimZvFSQsaAcOHY3Tfnagdtd98IzoanqFDcNpvb+KRl+OPenN+\n/jnw5JPA1q3hPnJ3tafzutmyJc/CSYjiDCY+7zznBZW5dnl3fhP4ho/ABb32o0XUFvMNbhSHDEG7\nZRPx0Es1rIAy/0YWCzzyiPYAgYTWKSyiYsX7J58E9FcLFw8m5hqAHVlOCypTM5nAzaoch96PDkK3\noQ0L7K+aDe2I+5ePwrCx1S2/eq79uU/jVkwlpYGBcTV29FH/33tP55WoYrkEXoNcBHDDxSres8+G\nbauTWU3Ni92qTq5YjImijFzRHyzf7pFVbt9/D0ydajzP6Jk3YoT5vaokLDvcaLHlj1XhzHIpgygK\ngzd/Blk59JFBEAYI7QD1gUFKes0zcEC4cGFGnBunOnVKrjn8W3/91WwIaNnA38eNAiue7ZTEcyoL\nFxobJyYcx483k6+FKAxeJ7xeWrcG/vUvZ93zqU2cJ7Fxoxns9Pe/A54DhWsOWbPGVJwwGM2/k51E\nzH/xfSLKBu9bvH/xvN59t+lgEaIwuB7muphrB96f7D5DIj9cu/y//2e6PHiN81qPSjmx5nDNxIDW\njh3ma67tLrkEqFo1PMfvJqwKzifM/vgf/zD3ACEKgzMA+D7k+45Vy46ZIZELu1iZoKpZ02imFe85\nwf6KhToffGDuyYSFPLSsqlEjfMfvFmjh+OijZt96ySVmDxzJKLBczEXDf/9rhh+1awfcckt4N1q8\ncTKYzI0fA92EmyBm3Bj4ZWA5UFCj6LPIQSyE3q6smnTMQA0nbX4dtHkXoW2z4YKHia1wJyCYZGLW\nm5YXDMQQHhMTbfR+DsTCjJr26ad5lbUNGpgpzc2alf13R/p97K23TPD+6OZXPUviGLjOefVVE9hh\n0tNpc3w52Z0dHiVJ2lLXZs40usb3CVupueniek8EZvPLRBY3vwrYi2NhgJXBQL737rrLNFU6Cdp/\nsVqtJElbdnZ9840ZNscgKINbtMbjPk57gbLBYcXsuKH28x7Ae4EQ+WEXNqt3OTfr+utNIZ6TWLsW\neOmlkiVtqa8//WT2V5yhRb3iDBbu37QXKBsrVgCvv24KougSwH1rpKLAcjFg5S6Dq+G8SQWkOrmU\nUIyYiecgLn8l4eDBpl2Nj0XpYGCOWS5ualmJyqoFIfIndZhF58KHiYdu3cKbkf32W6OF/mQWN0/M\nzLJKORg+gbSJYYbdX0l4zjlmEaTAROnha0fN4aKaVZmcbCyEH2oNNYfaQwsMRw3PoqfgZuPRysTt\nHXcAbdqU7N/TCoMVTNu3m69PO81UoDitkslu7bpPPWWCh2eeaZKEQvjhe/Xpp817jwEOdoQ6ib17\ngcceM+v4sWPNeqgksLiQ65x168zXTGYxqcXklij9npXJ0dWrgbZtgdtuU7BeFLw+3njDBANpf/HP\nfzrr+si/jqdPOzs7S9qBz3gOY0qEcxDGjInsYGggoI4vWGDOI4fXO6nrJpAosFwEbB/goiFcbTX+\n6mRmxOnhEszq5OKIGatPmPEi9eubTYLaG0sPqzI5EJJJAVY6sKVFCC586Fu8alV4B64VNpCPlcMM\nOPG4gp3l5rBLVvSwsocbULZtcdPFNi5R+oA9Kx342tGTn4tKIQirvFjtxXXFv//trCoWBsU5GJeB\nngEDzJCa0kCdoeax6pnrPhYUsJKQQWYnbT7txM6dpiKV95AbbzT3DiEI7bTocc57OysI7TRDojha\n8Z//mKGDZek85HqPa6wpU8w+j4l6JtGZTHeSBtvVvnL0aHMuhSDs2qN1DbWG14iTKtqpFRyqzKBw\nWTsPGVhn0SQD1PwdLBZksUmkBkTLCpOLjz9ukoVlWYM6HQWWi2hVYvUL/bBC6W8azurk4sDMOjMz\nfPNwEcUW+GHDnLUgtNNN4v/+zwyGZPvfnXdqISmAxYvNUAZ6m7OCMJQLH16TiYmmfdlvgcP3OTP7\nDCi3aBH6AAsrCDnYZ9s28zU1kJsFVRKWDm5gGTyjzcEDD6gKXJi1Bu2ZuMHgNeG06hXqA5PeDRua\napGydlMxQM11DltOCSvfaAOm5G/p4LBiDphmyz8DiNWqle31Ee4q3Ln1VudZzzDpTQudQM1KYWcY\nZ0ww8OXf87GSkJomSg73VRw+z0AZ29NZDCUim/R0s6di9zXv54ypOLEYjQWG1JyyrkeYkOcsLXaj\ncu/HPQELBjlfQ4S+a84NKLB8Erhg4MKBmXS+gRnkiZTq5KLgQpBehqw24BuIHvGXX+68qap2udEx\na8pFJQP0gwaF+4hEOOGChxtvVlpwU3HGGeEdyNe7t8m+nnQgX4iOj8EJDvmh/lSubNrUeXyqJCwZ\nPH9PPmkqCfv2NVXgIrKvB7ZWMlnMtkq2VzoJJuKZoGUA4f77gXr1AvN7udHiLAsmYqjH/P20kKEF\nkCoJS34uX37ZdEyw4+Tmm6XbkX49PP+8SWjxHn711XAUrFJmAIEwgHDKKYH73Uzos5KQlkTUGSb0\nqcuqJCx9wrFRI9OFI/vGyOadd4BFi8z7le9bJ+0d8tvuBNo+k/OeaAPGOBShbRXt0LjPEqVLOMbH\nm9hhpJ1DBZZPsmhgixMXP5yKHqzsjd2rk4uCvnkUI38gqnt3U0moapSSQS+wV14xi0hWWzVuHIxX\nSzgBDlhbsiR03nAnGsjHTgR6HtqtKpjHyIGGa9aYr5kRZuVBcQbmiILaTe9TtqffdJOSgpEMW9GZ\nUGJAltXKTtp8M/jCoDiT8ZddZnQrGMk+VhJSlwnvz0z6MVghig9bbplE52vFQoR+/XT2In12DfcK\nrCAM92Diklb5McDDtQiDvgzABOP/mDbNWBP5KwmZAI7ECrhAvVZs9R8xItxHJMIFrQX/+1+ToGHx\njpP2DOygZ0yKFbGMs3DgYKD3htwLfPUVMHu2eUxt5pqqSxdnBeDDjddrko7BfK3sjALLRfikBGvR\n4KTq5OK8iTjYi5WEPHfMztBbhkMsIunNVFZops/zWLeuqboKxkA04YzJsnztufAJZtt1YQP5+P+x\nOpkVRHYekseNFu1CGOzxVxKyypLHrkrC4kO7E/rmM3nA681uSQQRfDg0i8Oz+J6i5zY91J0Cj5l+\n4bSrCEUV7O+/m6TWX38ZnWHlMnVH9+riw0HQ9IikZnOuRLg7YUTo4fuHwWTuF8Ixu6asvPee2buF\nogqWRU4s3mF3EeG+ivsrJwXiww2rMRmUI8EsFBPOGEzMTkfeu53YQR+KKljGp2gDRktE0qmTCTDz\n/xbFIynJxBF5j7v2WjOjI1JQYPkkkx0D5dV3bHXyDz/kvWGdVJ1cFPv3mwoEbr4Ib9706mGmXRRv\nUBnb0ynqTpyOLcoGE0ys5mJVF4dF9e/vzoF8ga4kZJs6W9sIN3rUHCcl5sIdmHvxReOb78Tp2KLs\nVTC857B6nRstbricmhjhZisUnVLcKDCJPn++ef8wGceOCXaYiOLx7rvGYoQ6zWRGdLTOXKTA9wyr\nBrlPYCUcBxM7cfBXoG13TgbXadQ62g/yMfWO+4Nu3XS/Li7U7FmzQmdtKewFE8KMvXBYNe85Ttrn\nhCMxQp1mHIzrKwblGZsaPtx0GWmPUDx+/NEkBak1TKInJCAiUGC5EG+r114zwWSa/QdigI2bqpOL\nI0ZsF2UlIb2DeR7pDcaglTYPRcPhZGxPZxW4NcykfrJJfTE6r3RhRCS0yjrp92QD+b75xlRF+2Em\nOlwD+QJtJcOFI5Nb/DsYlKcXqp2rru0CKziY0Dh8OHeYSXtpTqTAjTY33AyOcrPtpPcLB3ryXsng\neDisXGj/Rf/OP/80X7PLg4F5VRIWDbWG7enU68GDgaFDc4VIax3XwyQwfU5Zccf7jpNs8/Lb7oTD\nyoXDDhmo8NsmduhgjoPBUnFyeJ945hnTocPqQVYRSnMig/XrjZ87YxC0+nLSEEcGdak5vFeGw8qF\nhU7spuYgTMK9Iot3QpFQczo+H/DGG2bPzWQAPb2jUty/zlFg+ZjqNy50+LmsrRJur04uCrans5KQ\nwXTC6m+KEbOF4uTQ42jqeymotvRbPLRxDKr60kyUkZP9uDJq2VKn0GWwlZuVo0zEcOETqJu2fyAf\nq13o92S3gXyBriScMcMM+OMNndlhBkpPPTXcR2Z/mAx86/kUlF/yE8Zvvha1fXukOS6HCW+26rEC\nzmnTq/N399BTmW2a4QpWUFvZouqvJGS3Cdd3Tk7UhQIGx7jZR0oK7t7/b7SY9z9zw9Jax7XQfovt\n6NwfjB1rbB2cAi9NrtEYpApndw/XNqyEYyUhEzRMBvorCZ1UhRkOGJjnPe/I3hT8bc/j6P7DC9Ic\nl8O1ApOYjOXRtoqFbk7s7uFcB1Zah2v+BQPLH31k3a6tAP2gQebDSfM4wkFamkkMpG5PwcjtL2Hg\nwkddrzkKLBeSWSjLtNBIqk4uDpwAzkpMDk7g+TznHFOd4qTKqFDjXZ+IFzpNwIbMxujiW4p/4P9g\nXYpU8KpVTRTIZUIUyTAgyhsP3yN8b7CCKxC/kxrECuVjB/Lxw0lVQiWFFSms6mFFI2F1CoM9fOuI\nE5CYiLc6voIlGR3Q1LcJ9+BZRMMrzXEpXNeytZL+nZz+zaSvk+AGh0Ot7DKPgAELrnMYdCL0e2Yl\nYaS0PpaWqa/vwld3fI2aWbsw3vcIKiLTfENrHVdCCwlaSTDZy448JyVfONyUQ07tMo+AAR5WErKA\nyW9nRh0PRJetm/lh0g58eM1cVM5KwYO+hxGPA+Yb0hxXwgQMk7+sUuZawUmBUKvg4y1ju8OCI653\nwgljWlOnmoJJwuOh5igccXJWfbkN/x0xH9FZGbjX9wQaYYerNUeB5Vx++sm0NdILhS2hJWktivTq\n5OJkDGk8T19Xbmh5bjndmJsvUQgjR2L/9B/xaM59yEBFjMUEnI5f8oSIPf68WwpXwMp+vjdY1U/7\nnbJYxrAiiAEXfjhtIF+gKwl5Tqk71GcG1RlcZpDZSZvZkDFyJA5N/8bSnGTE40J8gYvwhfmeNMd1\n0B+YdlVxcSZIEsxBMMGa7E6d5AwM+qrbpTjh55+BTz81GzBqLROFnJegSsLCyR5+CZ6e0RbbvQ1w\nOn7GWLyf903pjqtg5xSLd/i+oOY4KelCizoOOOW64pZb7LV3YTEUZ9uwZZ06c/75pjiBwShxPL4R\nI/Ha9IZY5T0VbbAWt+MlU7hDpDmugnZVfN8SDtl0Usc0B5yy4IhdCYyX9O0LW3UbsXiHCXXCY6NF\nh3zLT8DIkZg0rTK+956J+tiJ+/AkyiHbtZqjwDKAvXtNq0RJpzeqOrnkizMG7/2VhAy4jx4d/sy/\n7UzcatZEpjcGn2A0fsIZqIBMPI4HUA1p5me4o+ZF61J/nkiC9hTshCEMkpS2o4E3eFYn5x/Ix0UU\nPbmcNpAvkLD9jd7LtBohrJTiIo3BdlFQc7K9HnyJCzALg+GBD+PxGBogdxS9NMc1sIOBll9M+LKd\nmz7rToGJM2622F44cqTxh7fjMTJoz8pMvw6zqoeJQ3G87uzy1sZjGI8cRONWvIJ2WJP3M9IdV8BE\nC4PJfG9w6ByTLU6BOkn7BK6x7DpUm8EnVhJ+/735mhZntAELxZAvJ2pOqrcKHsIjOITKuAIfoi8W\n5P2MNMcVcB9EuyzOQGBhzcUXwzHYxXbnZLBgZ/ZsY93JhBuLFKiNHMgqjtecI95oPIoHsRe1MAiz\nMQzTXas5DmoKCN4bmB42DCp3724sK4p6My1dauwuVJ1cMugRxIpMVhLSC5XV/2vWGD/rXr3sJ5yh\nhhUHq2alYbn3n1iLNsjOfXtyw8UF0NHAMlWcETOXiFAkL3wmTDCVbgwAlzSozH/HacFs8zp2IB8X\nUuysifT3FOcj3H67CbizMpx6w6AaE8Qc8BepAXc/rGpfNScVK7zXYzXaIRN5Je3pyOcdIs1xBdQM\nWjYwWMLErpOCyjx26iWDyvSDpsbZEdoM/e1vpkCBlYSsmnriCaPxF1ygSsKjJCUh2VsNn2OEtcYh\n+3FMGat0xxWwip9BZQ5+ohWX046dQWXOvWAyy46wUpDWO9QcVhKy6In+5eyYZSWhkzpSgkpSEg56\nK2Iqhlt7KvIXjmlPlua4AlrXMKhcq5ZZ7zsJ7ukYVOZaYswYe+7j2BHB88q4GTWHtmpvvmkCywww\nM9AsYGkOg8ozcRH2oWZEaE7EB5aZbWFwhm8C3phP9AZWdXJgYCCHVUZdu5oNLj2Y33vPTIpmJSFv\nApECN8o7d5qgID+4AUUmp6l1gAdeNMcmdMZydMFvqI29BbNbjJgJR8NsL3WFLyWHSgRiIB8Hjobb\nh8tuUNM5JIgT1FlJyIQWN4v8zEpCu7TShwomxv2aw+So9zAvmG5UJDTCdnTCCkt3jvqAEWmOK6BV\nA++5tIZht5CTYDXe77+bIMnVV9tzs5UfVhqxYnDaNGNNRL1nUQIrCTnHI5Lh2uf79fUxFY8gAxVQ\nERm4GJ/iTPxY8AelO46HekOrQa5R7BokORErVxrd4bFfd539k0IM3NOLlfvaWbNMARTv8xxuyoCP\nk859MDRn6Z/18DEeRRqqIgbZluXXQMwp+IPSHMfDffWXX5rHXOOHewZDSWfETM8tZuU6x+4d3fSu\nvvtuo5PsmuCQP2o+k3BMbEWy5pC1B+piIh7GPiRYnaDnYi6GYAbcrDkRHVjeujIFMyf6gAqVcPXV\nFazNVn5UnRw82Ip+220moDx5shEiVhIywMZKJLdWEjIxxWCOP7DjH6xGuGg9tVMFdNqyBR1+fBPV\ncpKP/wV+Px6XZLYisi0mKQk7supg1iyT0uVmqzgbFlYZMjAUiQP5AgEXaNdfb7ojaI/BBRxb5ag3\nnBTtpMVnSTdUTEBwk8yEBJMZfqizbTtXQKdNf6Ljz28iISfp+F8gzXGF5hyoUAdTphjNcZoFFa9Z\nJoMIA7NOuf1xtgard9gJx6oebnhfeAE44wzTmhuJlYR8LXkuNm6MBZq2QadtM3G5dyLikFLwB6U7\njteczOq1MXGiebPyHuukpDcrrGndR4YNc04Cmm8bnutu3fzvM+D//s90p7B4KhIrCXk5sntk5cpq\nQNMOaLVtLq7yTkAdHLPekeY4XnO8NWvj/ffjrb02A5tOSuKyc/7tt03xEG132rWDI+A+gsdL20Xz\nPjN7rMWLzXrNSbofyG7QTz/lnr060LQ7Gmz7GWO876EptrpecyLTYzkxEUfuug9PTG+P3aiD/p5v\nMWp4ljE7bdnyhNXJbDPiBPXS+qCKwmFrK9vUGWQmXMAxy+iW85yRYSqtGEjmZ/81Rbi5Z2UTF31t\n2+YGtxh5Zp9yenqeYa6LJ4hGBHxN77nHSkV7vT487bkXW5v0w1m3dsRld9Qt8v3x7bcayBfoBRyr\nAjjEjHdAdkpwAcQWezfApCiTddQcLvK4Sc7fNsvhQ9QcfrYGbkhzXK05Pq8Xb3r+ieVNhqLDmC64\n6eFajqkk4S2QA3g4m4GdB2PHwpHw72B7LisJ+ZiJQAb4GQByymsR6L//sjO3o8vYjvAc1FrHbZrD\n6Mhkz2jMa3ItGg3rhnufSyjTYOJQwjXBq68Cq1ebNQHttJz4HuXfwaHyn39u9iFMdA0fDvTr58y/\nJxB//8jTdqDPPztIc1yqOXM9AzClyV2IG9ADD78c76iBcgzG8nplFTBtQ+3eIXGi99yyZcDHH5t9\nB8MWHCZKKzA+jojOiKXm7+fe3Ur0dd2JgXd2QPTB1IiI6UReYDl3A/1x6mB86+2LetiF+/EEEB2D\npZXOxIJ/foTEA3mTnRjcZNaLcT7elETw4CKOwrp/v1n0sK2fFcwM6jsNTnRlQIeBnXXrTKWyH3q1\nMZjM7B4H+xRanc3rdNw400fL9CVX5Bwxn5v8EA7imKDdHAzAZxiJeE8KHq72Air++mOhr6kG8gUf\nVvKyqodebISBK1YSHtu94gS4iFm1ylQl00uawWU/CQkmkMyPVq2MnByHNMe1mrMUXfE//B0VPUfw\ncOzziF861zH3EQ7Lpu0Pkz9s83b6Omz3bmMDxsnqhGsBVhK6qGDlOOi/6K/YJizQYKusVbEt3XGl\n5mxCMzyLe+DxeHBf7KtotHSaYzSHiXwGBrgOePBB51f5spjzo4/yZnHQMoPFO9yLuJW8zgjzdYGK\nbWmOKzWHdgMP42FkeSrgpqoT0HHZe47RHL43X3/dxBo5yN3pw35ZQMeKXdogEQbLqTnNmyMCOiNg\nwb0W/2YOU40kzYm8wPLIkVgzfQNezrkJ0cjBWEzAVjTBL+iNQ56qViS5wkUDrepkBpQ5cE6EtpKQ\ng/3mzTOZH1pm0Hv51FMLb3uxfGlssCPjse7YYYI6vEGwusoPg+TUDX9gp0RWOjb7O0Up4A6aF3V2\nNpJQy5oMm4VyuAWvon3MOtMGw+jJMQP5eHPyq7MG8gUPJn14vr/4wiST2UXASkIOpShQ1WPD9yKD\nVH5bHQZv8t/NmRT1a06DBiWoULLh3ylKrzkHURkP4RGkIRZX4EP0jfmlgObYmbVrzXR0Jl/p4+eW\nTQnfp+yK40vASjomz/2VhAUSzQ5/L3I9x30UA3X8m/lnnNBj2uF/a8STT3OyEY3H8QB2oR4GYTaG\nxXzpGM1h8oPDNrkWuOEG403sBvj+o/8pA8ysJGRcY9Ag81GgktDh78NCOyNO5DHt8L814smnOVz6\nvoTbrcH3PbEY18W87xjNSUkBHn3UxMcvucQU1bkFDiFkgodvM77/aNtIa6ECBQIOfx9aMyNyPaYz\ncjsjWKDEBHokak5kBZaTk3EwoTEe8Y1HCqof9+0m2Io+UT+jx46pqFjPnS+4U+AgO4oRg7WEvqgU\n3Kq7C7a9WLswqlQYsj5ctFA0/YEd6oUfbhQZDGdVMtvN2e0gIhBeFMyO8FoF8ApuwWq0Q3f8ir/h\nLfMz0dHw7tmL5VvjLf9kBgiJBvKFFlaIs5KQ72nC9y2TWjX+so/m8L/n9eHXHB6zH14vbNtlIJlV\nkE6vshJl1xwvPHgL12MpuqE11uNfeAHWOpdRBU5xtPHClh513GwdOGA6l+gb6jb4t7EykgEfwsA5\nK1zqH7KP5pQW2n6xA43dW/6hzXwNndjeK4qvOdxQfoqLMRfnog72YDweQzlkO0JzuKZ/6imz76AP\nOudfuA1WEtIagoktwqplak4Ln/M156SdEcLVe6v5OBufYDSqIt2qWo5FuiM0J7/tDu0wOXvKbTY1\n7J7kMEUmfPhy8eVg90DHys7XnGM7Izp3NomsSN5/RVRg2bd2Hf5f2+etTVZTbEESauMQzB2Hk2FH\n4HOz6WKZjJMc311cSTh3LjBzphGmqtnJGDX5EvQ8/D08OeHxqeGijO3mrCblxonZKT/Vq+dVCPLy\n0QZKWD4o+Yx7H8MD2IGGqIBMDMdUnI6frW6JuTd8hr3eBOtn2H7JyjUOQ9BAvtDCuyEHJLKFi+/1\nCocPYOjnY3F2xmxE5WSFRXNY9UdrCwaSqT2savDDa6VDB6M5TGQ53SZABE5zGFSegLFYiF4ojyNW\ngKc29ub9nI3XOXwf/u9/xquPbdt33eXegb7EX0nIyqXo9BScN/1GDM6YinI5GY7z4zt2Zga7/hig\nc8rwM1F6zeFmcgaGYBYGwwMf7sJzaIncHbfNNYfwuuWeg8VktN1xog1fcaEVDwMiVnI6JQV9Z96N\nEZkfoVJOuuM0p0SdEcJ1e6sf0Acf4grr8d/w/9AdSx2jOZzz8skn7rHdORlM2FFzWDhIzek24yFc\neuR9VMtJdpzmFNYZwWB5F5d0uJSFiAosL5yTinfP+xgVkIEH8Sh88GAirsI6GNHpiJW4POoTxO/b\nYOsMV6TBrgFWvqx9ZQ6wdSva+VbhckxCTew/frJmENpe9u3LqxDkYiw3QWrBFnN/MJmt527LNIrA\nZtVTEYuPcamV3DoKL5oxY1GzQQUMGAD07u3uDY0TYKsoKwmXPmU0p6lvE67CRDRErhlzkDWHASa/\nRzuH8OWf90CvWeoNM+MMurk54CZKQXIyvAm18K5vLBajp5XEuhn/RWvkmvoSm1fyMLkzYYJJlIwf\nbyTU7Rw+bCoJf3jAaE4d3y5Lc1ohMSSaU1a4k+AUeG6SWW3OxDoPlW290iiXk5wMX0JNTPUNxdc4\nD1Hw4jq8XTDAY3PN4X32pZfMtUorTM4/cTss2GFg5Ks7voZ3yzbE+f7CZfgInZFrxmxzzSmsM4Jr\naHa4qLAnMvZW33n74CNcZj11CabgXMxzjOZwtsuTT7rPdudkcCvMBND0f3yJzE07UdmXjovxqVVk\n5XGI5qgzItIDy7l+Jvtj6uDRV+KQMWMOxm5/HKfnmD4g/vE/4QxMwSXI8FRGxeb1MfKdCyx/ZQUJ\n7YPvr2T8UvMiTPGNtKrMWYFFf+xgLFz5jti6NS+Y7B/sRbhwad3atJozuBMJG15RQo71UMrnA7YH\ntfENBmAB+pif9URZGYlG1w20NjNaDNuI5GSsTDgbk3yXIhnx1maZC6D+mB8UzWFLld+j3cro58L7\nULNmeQmsunV1bxIn1hxv9Xi80/11LFleDhV8h3ErXilYNWjzRTv/jMcfN1Vo11xjbLAihuRkbEjo\nhQ98l2M36lpPXYAvMQQzbb1Z5sBlBnfYzktYSMaKQSbBhPt1x1erNj4b/Ba+WRyHKF+2VTXYFbn+\nLg7QnPy2O5ynNHgwIofkZPyZ0BETfVdgM5pZTzHIMwbv5wV6bKg56oyIUPKtdeYNeRmTf2oA+Ly4\nFB/jbHznGM1hUoe2O4wv0LKFdjQRQ3Iy9ie0tvZWv6O99dSpWGMVQETDa1vNUWdE8chv2e8uEvO8\nW7xeH97z/AsZTQaiy9DG6P3eKuBgjBXo4Y3zTPyE9tFrMan81VjRfZS1QGYVPt/oJRq0JoKGZ28S\nTvf9hPZYaVWZr0RH/IzTCwaW6Z3BG04phIgiz84aBnZYKciKQT+smqLfKoM6/Cy/LlGU5uT3i/Ld\n+E9s+mYTvj54JlZ621mdEqRV1EaklquJPaeNsoY9Pv20aRlm5buwAUlJ6OhbgdZYi8kYZSUgmRAo\nEFgug+bwEmEHhD+Bxc4IP0ww0G/N75csSxRRHM3J8cTg7c6vYmn9oai4eiZuzXkNLXKOCSqzzZAe\ndjaEb6d33jELeA7P5BDliCIpCa186y3bktkYhC+tsPIFllVbRWSWWXOCVX3ENvQjR8zaiLMw2HWj\nwozI0B2f14spntGY1+AqRMfswt+9b6Nzzm+O0RwmddmezaAyO6/PPx+RRVISGvh24B48i+/RD59h\npLW3oubUw27baY46IyKUY9Y6cz0DMKXBbUBMEi7L+QBneb9zjOYQDnpjUJkxplGjEFkkJSHBt88K\nJP+K7lbF+Rqcij/QFu2x2naaU1hnxHnnaWZEZAWWKUA9ehgzSgoQBmC9rxWqbV2FK967Dp7PPgVe\nf92shrkyjo5G3NB+uPHpG7A0pbrVAs0BTsxgs6WGrTVq5QszVN+oKFTzpqE9frcCy3E4UPBnmOEq\nQSaAlwc9SxnUoYcpN7N+qGX+dvNWrY6ZmixEEZpDmNBaPn07vpm1AJv6f2GVc8VsSURv/Ixzo75F\n3WG9gGf+jrXZ1Y8OqmQG29/KV768TrMdNKeiNxNdscwKLJdVc+jJzgUKk1fUHvo4+4mNzeuEYFBZ\nr78oieZkIxpv+a7Db8ujraDybW91QPNp7YFpiUfXOVYFj40Ho3DAy+bN5v7LwZkRF5zM1ZwYbw4u\nwheWZdIu1LPmgTTG9lJpTrDgpvj99/O6K5gIGD1aSbBI0h0GlTkw61vf2Yj5cxv+Uel9dDwzAZgb\n5RjNoe0OPc5ZQHLttRG418vVnCiv16r4ZAUhP9gxcTSwbBPNUWdEhHLMWudrDMTnvhHAnztxRcXP\n0PfsGEdpDuMN8+YZrbnuugi0PszVHI/Xix74FevRGj+gL/agTl5g2Saao86IkuPOcBl7yilA2dnY\ngQaYjqHW02N97yL24G4TVGZ7xDEt69zDdIfZ1E+eDCxcaDzvfv0VGDsWaNgw3H9YBMOdJqeFzpiB\nfdnGf6JW/kFE/raXIrJbfLn9Vcm8V+U3guGQGX+7OV/riNvUioBoDgM8P+JMayr63pxagDcKVdYt\nQ7+XLsLZnXugWkZ/oParR69Vjp/g0Aa6ZXCxMWeOuUbZMUHbFRF+zdmbXavUmsPbjL8qmV0RTMT7\noa2FX3NodxFxm1oRMM35H/6OFehkedbdlvMamk7rVOg6x65wqjb9PnnfZYAnIjuD8mkOX9e62G0F\nlrnhsgLLxdSckPiyfnXMhPeOYTskEQbd8WVnW5VmrHKNQTZu9L2B9kfWAVWHmPYbB2gOD5Ge4ITX\ncIKZnxzRmlMHe6zAMpNZFjbQHHVGRDj51jqzcT6mYZg1HPQq33s4I2uxozSHf8a775rHfFtFgpd7\ncdY5hOscu2hOYZ0RtEnq31/7tMgLLHMT5a9EBvAFLkQ2YlARGVYGtnH2NlRjKwV/jhdtIRcup3PS\n269nT+CDD4Bt24AnnjAtUvTekg9qmGAGcv587EutA9rw1MS+ItteeBmwAsof2Nmdm4D3J8Q4LNYf\n2LHxvUg4SHOmYrgVVPYzwPc1Lto0CxX6/pl7kR1/oTFjzRZiVn2xCmznTuD554G+fYERI4BKlUL6\nF4kyaA4XJKw+p94wQUCbEz8MmrEDwl+ZXCd3HSVEWTRnPs6xgsqkNdajQs5B0zJ6knWO3QbXvf22\nee9wnRXRCbVczeEOtHZ2Ut6GywbtvbTuYXfNnj3m67POAoYPN9WeIrJ0h9X0DCqTZtiMqjDBZg91\n5623zOLaxjDBS81hpyKLISPOducEmlMne4+tNEedERFOPs3ZhGZWUJkwGMlCDydpDtc33N9xODj3\nAbRTiFhsrDnHdkaw2JQzIzRTK1IDy8xY5W62SCeswFq0wWFUsgb00T/q1Jw16DUvFZ2GxJ+03bhd\nO+Chh4ymffedqdJYtsz4oLZoEZo/R+SDbS1LlmDvoB+BxMy86kGOVGUWIBd6/XHCMwM7rExmK4Mf\nVkF16GACO/RL1oZIBFpzTsE6LMJpSEOs9TWH9W3xNkWv2WnoNjz+pEFiVq3ef7+pBqPe/PCDuYbZ\nFq6KsPBpzr4hs4E/8gWWj9Ecfsmgi3/4HtfCfniP4b3E79FOywshAqk5LZGIBOzHfiRgOTpbH01y\ntuK06enoOTLe9tcc7ce4mGfXEG2AIppczcFNN6HOnHwbrmM0J9SBf3bv8X7k77TQOjiydacRtqM+\ndmIn6mMDWuEp3GsFe3rlLETPdfuQ0MveyawvvjA2LjVqmGrliKaA5my1nrKGh4ZRc47tjIiLM68T\n11EiMjWHe/4W2IiNaGF18jyPO1EDf+G0nEXotXo/6p5pb8358UezP2DcgcWLEd2hmE9zas/5zRbr\nHHVGBAaPz5ffDMAFcEfPtEK+TVcWYrAKHfALelstPl5PNDBmLCpWr4CuXc3UcVbInMz6gG2azDSx\n4pU/x0oNVvIrMBlafBsScXv7ucjIisJzvjsRi3Tr+dToeKysdBpW3Pk+/thXy1qU+OHl4K9Kppax\nUlmIYGqOFx5rGMFC9LKCPFme8pbmxFSpYPl2szqGwcaTXYusWqbmsOKesKqGHpZ2DxK5jsREPNbh\nE+zIrIX7fE+gCbZZTx+KjsXvlXpgxb8/wu9JtS3/ZD/Vq5tEAF9rFlGoy0UEW3O4kEtES0tzWE14\n2FPZ0pyoShVw6qlmncPr0W7XIvcWLDbicY0fryr+/J6SG1Nr4VnvnWiCrbgPT+VV8/Ckhcg/khvh\nSZPMcDPerwYNMh+aOxGBHKM71JxtaGwl0hejp0mmc4M0Zixad6hgaQ73WHbruOLb67nnzOM77zTV\ngxFPruYkp0bj394nEIs0PIe7w6I56owQJ1vr7EYda51D3fkLNY5qTpPWRnO4V7LbPoldPo8/bgrf\n6KscptipLTXHm5qOm70vIwfReBW3oHyML+Sao86IwOG+wDIZOfKod8uxpEXH4dfTb8XCQY8cHTpC\n2CnKYA9FqV694mVQmelmeTwDRCI0HBx6Of4182xU8B3Gg3jUmijKFuDNaAYfEwZNmgADB1q+Rf7h\ne3w95ZcswqU5GdFVsOzMW7FwyJPWUFC/4nLhQ+sLag4v28Ku0WMzqLTpYXCZixJd06HBN2Ikbpt2\nNjJ95fAwHrYSBhweyoETXk/MUc2pX9/oDXXnRK+nEKHQnKzoiljZ92YsHPkfa1ikf0/GRHi3bkZz\nGEwJ9zXKCdscksyKWHZl0PpH5L22adkVcRees6zcXsLt1hyQo/6D9M8OImzX/egj06Xn76ZhlTJ1\nTkQwJ9CdHERhTXRHLOz4d6w4/cajxR1MGPGeSM1hgivchR3UmsceMx0STJCwQEjkva60FrgVr+AI\nyuNF3IHKOBwyzSmsM4KzRmw6g02EWXO4ldoQ3RYLO9+ApWfcerS4g5XA7A5kTIfaE+5kOg/72WeB\nrVvNMXGGhCj4uj6Eh60uifF4DA3xZ8g0RzMjAo87A8v5J4jmF6JjMq/MIHFA36JFZpHhh0EBvvkZ\nvCks60XPTFYS0nuZcME0apQJ+oggkpyMrQld8aTv34jDARxEFWTB3DE4PKQt/kCnqN/RYeM0xDWN\n00shbKc5TL5Tb6g7u3bl/RgX0NQRak5hA2Q4l4J+77R4IVw0Mallc+tU55OcjPSEJrjT9x9UQKb1\nkYpq1rei4EUrbLA0p9O6yajZUpoj7Kc5tILiAGJqTv5kOhPj/mQ69SfUMNj9wgumOo2bvxtvDH+g\n224VWlyc346XkIGKeA53He3QsqJze/cG5QbAHcHPPwOffgocOmT8/+mj3K9fhLfuimLrzuEGLa2E\nBDWHyXQ/3E/xn1JzaHsTjvf7O++YNRj3eZwJFu5Atx2rQh/Bg5bFyX148miHVjA1h6gzQpRFc7Ka\ntLSuIWoOvXGPTab37m0SFOHQHBYGzZ5t9nbsyrJbB4cdNOe/uMlyFrgBb6ILlodEc9QZERzcGVj2\nCxFXDf4BN7xAOdKRhuDHpD95BvjjFCRuwPJnvU7UQspfOXeuSbYw48EF02WXmbYvbY6CxLp1WNrm\ncvwPf7cmwvrgsSYYD8dUnIo1qIAj5ufWrrW9ib9wISXUHCamuMHh5Nn8PuC05SmshZT/5pdfgClT\n8jb8HOzHDb80J0isW4ctbc6z/CP9msMW0UswBR2wylTzEGmOsLnmEFp5+ZPprBb2wyBLqFtI2fk1\ndSpQrRrw4IP2a10NG+vWAW3aWA/TUQV34nmUQxZexm2I5gRRP0HQHNpZMoHJQ/AnMOlrWliyU0Qw\nJdAdFu1wjUPdyT88m52ETGzxg0muUMDj4MA+zj144AHZ7hSmObRxuwMvWsmsZzAOcUgJquaoM0IE\nWnO4n+J7nescVgn74X3Mn0wP1eBsBi85iJ3cdZeq7wvTnPzJrHF4Bs2R6/8YJM3RzIjg4t7Acv6s\nCFfLtWsXK+vBIDGzXhSk4rSQ8ldzSrY/K8/KGy7EOWhABP61/Drhcnzuy+tdG4xZGIoZeT8T5AyX\nEIHWHE4nX7PGbLyoPUW1kKakmBbl38y8A0uP2C4YqoVSRJGcjCUJ5+MtX17v2mlYhGvxbt7PSHOE\nwzSHqz5ueKg5S5ci5C2k3Ow9/bRZX916q+zETlTJsxId8Bpusjoj7kLu7jQImsPX4ZtvgJkzzf2H\nRWC0XGKiQUlLEQjd8SfTmRxnMwWLDwmvL65hWFHIZHqw5tYwwE3bHWod10tnnhmc/8fpmvMn6uNR\nPGgNRXsK9wVNcwrrjKAtCecXqTNCBGqtw85Qf5do/qHatMv0J9N5vwsGvK6pOfx/Bw82cXBxvOYc\nQiUrmcXOcybQY5ATtL2VOiOCj/sDy2XA30LKhVD+rNexLaQ8gwsWGCsYLlpYZXjxxcAZZ2hRHmg+\n7PESflhaBfCZiP/N+C864HfzzRB58ggRLJhJLW4LKX+OAWZWfPDSv+giYMAAtXYGmtlnPI5pv9Q5\nqjmX4SOche/NN6U5wuH4k+mhaiHNzASeeMIMsznnHBPAFIV7D07LvgCzMQjn4WuMwNSgaA6DfbR2\no8Ub4T3mkkuCt9kWgsl0ag0DPsuX53W3M5HF7lB/Mj1QAcb8tjv8/TfcoL3ZiTRnQXYvfIAr0QNL\ncD3eDormMC744YemGJGoM0IEG8ZpuKfiOod7p2OT6dQcDtwOVDKd/x+7I5hEYxD7nnu0NzuR5qzO\nbo1XcCuaYxPG4dmgaI46I0KHAsvFpDgtpFwccXr2ypXme6zeZ2a8Vq1gvHSRyUv378Ufz31pdsM+\nL17Av1AFh8IyuViIYFKcFlJWebDig5UfpFEjYOxY81kEhonP7cGP988+qjkP4HE0wg5pjnAdoWgh\npdUCE/EcAnfffeEfrGNnT8nnU6/Hem9L/BOvoxNWBlRzOAyWFcq0dGPgja8xByhqGLUIJazq8yfT\nGfj1Q4scfzKd65myJLbob8oO+urVje2OkiYn1pz3UkfgF29PXIqPcTa+C6jmqDNC2AHe+/zJdHaL\n+pPpLArkQHWudcqaTOcain7u3KPRdocF1qJwzZmZ2g9feAdhAL7BxfgsoJqjmRGhR4HlEnKyFlIu\nyLkIomgxycJWL26a2P7Qv7/aewIBBXpvYoql2nW3LMQjeKhIX0khnExxWkhZXcgAM4PR1KKBA4EL\nL1TQJhC8+CKwdpHRnApb1uEl3Iao6ChpjnA1wWgh5Wbu9dfNvuHee4GGDQN+2K7Buz4Rtw1ajyOb\nduA53InY6MMB0xxWCjLAzy5T3ke4PmVxEDfBQoQLrl/8msOOhvzJdGoOAz4l7YrmwFK+ZRg8uv12\noG3bgB+2e0hMxPgLf0PSumTchyfQJPrPgGmOOiOEHWElK/dV1Bxeo4FIpnPY+mOPmfjQmDGme12c\ngMREvDTyB/yxMhv/wJvoGr0yYJqjzojwoMBykFpIWa1MkfJvyLgZo8A0aFB6r6BIh+f3ppvyzvPp\nnQ5ibP8dOn8iYjhZCyk3TNyM+TdkXAyxY4LB56NIc0rM/febhSJp0/gQ7rh4uzRHRAxlbiHN1ZyU\nirXxyMvxOHgQGDXKBDPFieH6kZYhtWMP47G/bQuI5rA6lAnIn34yX3M9ynUp16dC2Elz2DFBzTk2\nmc69FQM+J/VjztWczOq18fhr8dY269xzjcWLODE8z3feCZTzZuDlO7Yiul7ZNYeFVl98YTzc1Rkh\n7J5M93em50+mN2tm1jmsZj5hMj1Xc7w1a+O5t+OxcSPQpQvwj3/IdudkUBPuuAPISMnEMzdtQ1zL\nmmXWnMI6Iy691Lx+mhkRfBRYDnILaX64ERs0CBjcOhEx990DTJ9u3gH8BqcWqOK2yGoGts760QAO\nEcmuvDrbAAAMbElEQVScqIX0WDgMZXjHjag4/m5pTikC+TffnJfM0gAOEcmUqIWUbY40Fpw+HT6v\nF694bsOaJoPR9vIuuO3xWlrgF8G33wIff2w2tNdcU/ZAHe8V/H1+T/4LLjCdLXwshN2T6f7hxvmT\n6Qzc8P3BpLrlx5xPcyhOEz1j8GOTK9BgSDfc+1yCbHeKgDaOr70GtG5tAsxl5djOCHrqsxhRnRHC\nzvB+uW6dieewM51zIQg1pkOHvGS6de88RnNmeS7A9Ca3Im5ADzz4YjyqVAn3X2Nvduww1d2sEH/y\nybL/PnVGhB8FlkPYQmqRkoJ6097AmOx30DwnXzRIHsFFQqHnAA4/Dz9sWuSEiHRO1EJqkZKC+Gnv\n4srs99A+Z0Xe89KcImGlMiuW/dxyi6nSFCLSOWkLaeNd6DWuH+oc2mxFgubhHEzGKFTxHMaDsS8i\nbuk82VYVAQf/sFiBvsd9+5b+deIalENeGZQj7GC58kozeFoIpyXTGejhWudYP+ae1JwHBqDhwXXw\n5GTjN3TGm7gBMR4v7o99BfWXzpTmFAF9qOlHff75wPDhge2MYCEQKz+FcGIynVaETKYz6EwqVwa6\nNdyNXo8MRotDqyzN2YymeBb3wOuJwe1V30LbZR9Kc4rghx/MIE9aq11/fdleJ3VG2AMFlkPdQjpn\njlXS7PHl4BzMx1BMRwUcCcoUTLfBRQqnl/tFnUFmtTUIUUQLaa7mcPDcaViEUZiMqjho/oE0p8iK\nG3os++Fjao8QIo+dO43mMBBqJdNzNaeZbyM6YiW+xAXIRgxuxBvoHLNa65xiwO4sJgzHjy+dFzXv\nBdy0ff65WXvSNoBD2Pv00bpJuCPpS71hwIdWF37Nqe/bgR5Ygrk4FwdRBaPxCc6JWSDNKQbPP2/2\nrLQcZEVmSVFnhHB7Mt0/UH379jzNqelLQi8sxCKchr2ohXMxF5fETJPmFIN33zXnk1YVZ59dutdF\nMyPshQLLocx6LUjFwgEPYI2vLbxg3xasTddNeD3vBzmIjn1D8lw+DnaazJplHnNQ4q23hurVE8Kh\nLaS/pOKXvuOw0tfeCuyQhtiB8Xg87welOSdkwQLTyknYHcEuCSFE4dAaY/2SFCzqfTuW+rogE3nT\n4PpgAa7Eh9KcYpCSYrprGQxmMstq8y8Bu3cDEyeaLl3SqRNw+eVAXJyuXOEuGMzcsiIFC7v+E0t8\n3axgsp92WI1b8CrozKN1TtHrxdtuM56kDDCXdDCrOiNEJLFzzQEsbH89Fvl64ADybqzcX92LpxCD\nHGlOMWDinIlBdoY2blyy10AzI+yJ3NVCRPnyQI+Gu9DD9ypSEYsl6IFl6Iom2Hr83Z3vMgWWj4Px\ndj8tWgT/NRPCyTBe3LHWLnT0vYlDqISl6IZf0R21wfKefEhzToh/aB9p3jx4r5UQboAB0DZxu9HG\n9x4uw4dYjs5WFU8UvLgEU/J+UJpzUjZtMp/ZOl6SoDL9Z1lE9eWX5jEtAi67zHjRqrtLuBFe180q\n7UYz3yRcgk+wGu2wEL2sAPPVeM8ElYk0p0ivUwaVOSO0JEFldUaISKR+9B6M8H2GYfgc69Ha0pw9\nqIMxeN8ElYk0p8jZZAx3MT5Wkq4sdUbYGwWWQwnv2FFRqOZNQ3/Mtz4KjQbx58RxsC3Uj4I8QhRf\ncyp7D6MPfrQ+pDmlCywrmSVE8TWnvDcLPbHE+pDmlAxOlC+p5mzebKzCaEtCzjgDuPhiWfeIyNGc\nGG8OOmGl9XEc2lsVK5lVEs1RZ4SIdM2J8nrRBuusj+OQ5hRLc5o2LX4C/cABYNIkzYywMwoshxJW\nIQ8bBsyYkTfauMCrkeuxrGrlk1YsWxUKGgIhhDQnyKhiWYgSonVOwALLxUmgc2I9bcLmzzeVPLVq\nmeF8bdqU/TiEcATSnJAms9QZISIeaU5INYdrG1oTcgSZZkbYGwWWQ80zz5gdAKdq5Q8uM6jM/iN+\nXxS6eWLbhH/CML0HhRDSnFAksziwr25dXW1CFAutc0oNl4XbtpnHRSXQV682HvB//WUqfgYOBC66\nCChXTtepiDCkOQGpHiwqmaXOCCGkOaHUHHVGOIsSjgQRZaZlS2DJElOZ7K/9Z7sEv+bz/L44Dtlg\nCCHNCSXMih88mLfwkUepEMVE65xSw6Ayg8v165/YxoJ1Ce+8A7zyigkqc+jNffcBI0YoqCwiFGlO\nqWF7OfdYLNjhkOITFfdMnmzi97TbYWfEHXcAY8bIbkdEKNKcUsM1zpYtJw8s82dmzQIee8wMIubM\niH/8A7jxRg0itjOqWA6XGLGen2N06VxOrx7ZX5wUDe4TQpoTSuSvLIQ0x07toWwHXbzYBHgYXGZl\nMmsSzj23ZEP+hHAl2luVuXKwMB1hZ8SHH5rgszojhJDmBGpYaJ06hQ8LVWeEc1FgOZwwmKyAcrGQ\n16kQ0pxwJbM0LFSIUqJ1TkDaQxnUYXCHQR5CD2V6KbNyUAghzQm0pzuTV0xiLVpkvm7UyFQos0NC\nCCHNCXQCXTMjnI8Cy8IR7NuSDhzIRmytiqhVSwbLQojgsn9LGnAgB57KldC0aQWdbiFEUPH9lYyN\nS3xAdhW0aGE0x+sFvv3WDOjjpov2GJdcAvTuLXseIUQZSU7GpkXZQGa1o5qjzgghRFA15+dMIDMe\nzZvn7a3UGeEOFFgW9obGOvfcg33T6gO+DmjuWQnPrt3G6Et+1EKIIGnO3mmVAF9fNPTsQMXUNdIc\nIURQNeevaQuQ4nscVXAItVN/xM47n8P7C5pZbaGke3dg9GjjNSiEEGXVnKxpX2Kb7wV4EINmB77D\n/vufwIe/NFdnhBAiKJrDLPlG7xMAaqBF0mKkV7sXk5e2ONoZwY4IdkawQ0I4DwWWhb1FqEcPqx9r\nr+9+66kWvkRgxnxg/nwNOxRCBE1z9vlusJ5q7tsIzJghzRFCBFVzNvk6W081xlbMnO7F7C+/hXd4\nDcQ1qY7LLwc6ddILIIQInOZs8zVGNmJQD7vw88z9mD77G2QOvxSV61VXZ4QQIuCak+ythmTEoxIO\nYductZgyfzbSh12FcjWra2aEC9C4D2Ffxo2zRMiXnY19qGk91RybzKhQmn/x+0IIEWDNQT7NaYGN\n0hwhRNA1ZyOM4eAfaIsvvefDm5WDsza9g0ceUVBZCBE8zdmFepjsHYnMrCh0Xz/J0pzTT5fdjhAi\nOJpzGJXwbs5VSD9SAW3WfI6HHgIGDtQgYqejimVhT5KTgWnTLIPBNMQiC+UQBS+aYov5PoPLNB3k\nz2kAohAigJrjo697/sCyNEcIEUTNIZuQNz2rLnbjKt9EtFy2BTh8NVAxXudfCBE0zYnDAVzum4RO\nK1cDOZdy8qrOthAiaJpTGYdwiW8Keq9eDE/MMGmOC1BgWdiTpKSjIsSAcjRycArWoRyy834mJ8f8\nnALLQogAao4PHlRAJhKw3/qQ5gghgqk5xIsoa70zCLOtD2u9k5P7c1rnCCECrDlc65B++B7DMRWV\nkCHNEUIEXXO641eMxieohjQufrTOcQken4/zX4WwYYarZs2jYpSMOCuzVQFH8n4mOhrYu1cbLiFE\nwDUnFbGIQTYq47A0RwgRdM05iMrIQbTZaPnROkcIESTNyUR5HEQV1ECyNEcIEXTNyUGUVbJTG3ul\nOS5EHsvCnrA6Z9gwIMYU1cfjQMGgMp8fOlRBZSFEUDSHwZ0CQWVpjhAiiJpTBYcKBpWlOUKIIGoO\n91UFgsrSHCFEEDUnGt6CQWVpjqtQxbJwxBRRy1M5vwhVrQosWQK0bBnOIxRCuAlpjhBCmiOEcCta\n5wghpDkiCKhiWdgXBo0ZPB4yJG9MKNtC+bWCykIIaY4QwslonSOEkOYIIdyK1jkRgyqWhXM8emgA\nX7u27C+EENIcIYS70DpHCCHNEUK4Fa1zXI0Cy0IIIYQQQgghhBBCCCFKhKwwhBBCCCGEEEIIIYQQ\nQpQIBZaFEEIIIYQQQgghhBBClAgFloUQQgghhBBCCCGEEEKUCAWWhRBCCCGEEEIIIYQQQpQIBZaF\nEEIIIYQQQgghhBBClAgFloUQQgghhBBCCCGEEEKUCAWWhRBCCCGEEEIIIYQQQpQIBZaFEEIIIYQQ\nQgghhBBClAgFloUQQgghhBBCCCGEEEKUCAWWhRBCCCGEEEIIIYQQQpQIBZaFEEIIIYQQQgghhBBC\nlAgFloUQQgghhBBCCCGEEEKUCAWWhRBCCCGEEEIIIYQQQpQIBZaFEEIIIYQQQgghhBBCoCT8f5I+\nS7H88cmOAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Simulated Annealing function\n",
        "def simulated_annealing(distance_matrix, initial_temp, cooling_rate, max_iterations):\n",
        "    num_cities = len(distance_matrix)\n",
        "    current_route = np.arange(num_cities)\n",
        "    np.random.shuffle(current_route)\n",
        "    current_cost = calculate_total_distance(current_route, distance_matrix)\n",
        "    \n",
        "    best_route = current_route.copy()\n",
        "    best_cost = current_cost\n",
        "\n",
        "    temperatures = []\n",
        "    costs = []\n",
        "\n",
        "    temperature = initial_temp\n",
        "\n",
        "    # Collect intermediate solutions\n",
        "    intermediate_solutions = []\n",
        "    for iteration in range(max_iterations):\n",
        "        neighbor_route = get_neighbor(current_route)\n",
        "        neighbor_cost = calculate_total_distance(neighbor_route, distance_matrix)\n",
        "        \n",
        "        # Accept neighbor if it's better, or with a probability if it's worse\n",
        "        if neighbor_cost < current_cost or np.random.rand() < np.exp(-(neighbor_cost - current_cost) / temperature):\n",
        "            current_route = neighbor_route\n",
        "            current_cost = neighbor_cost\n",
        "\n",
        "            if current_cost < best_cost:\n",
        "                best_route = current_route.copy()\n",
        "                best_cost = current_cost\n",
        "\n",
        "        # Store temperature and cost for plotting\n",
        "        temperatures.append(temperature)\n",
        "        costs.append(current_cost)\n",
        "\n",
        "        # Cool down the temperature\n",
        "        temperature *= cooling_rate\n",
        "\n",
        "        # Collect intermediate solutions at regular intervals\n",
        "        if iteration % (max_iterations // 10) == 0:\n",
        "            intermediate_solutions.append((current_route.copy(), current_cost))\n",
        "\n",
        "    # Plot 20 intermediate solutions in a 4x5 grid\n",
        "    fig, axes = plt.subplots(2, 5, figsize=(15, 6))\n",
        "    axes = axes.flatten()\n",
        "    for idx, (route, cost) in enumerate(intermediate_solutions):\n",
        "        ax = axes[idx]\n",
        "        ax.scatter(*zip(*coordinates), c='red', marker='o')\n",
        "        ax.plot(*zip(*coordinates[route]), 'b-', alpha=0.6)\n",
        "        ax.set_title(f\"Itération: {idx*100} - Coût: {cost:.0f}\")\n",
        "        ax.axis('off')  # Turn off the axes for a cleaner look\n",
        "    plt.tight_layout()\n",
        "    plt.show()\n",
        "\n",
        "    return best_route, best_cost, temperatures, costs\n",
        "\n",
        "best_route, best_cost, temperatures, costs = simulated_annealing(distance_matrix, initial_temp, cooling_rate, max_iterations)"
      ],
      "id": "54cb3cff"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Lorsque j’ai initialement publié ces diapositives, la température\n",
        "initiale sélectionnée de 1000 était excessivement élevée par rapport au\n",
        "coût de la fonction objectif. En ajustant la température initiale à 15,\n",
        "nous obtenons un équilibre plus efficace entre exploration et\n",
        "exploitation.\n",
        "\n",
        "En raison des instantanés pris toutes les 100 itérations, les\n",
        "augmentations de coût ne sont pas visibles. Cela est illustré sur la\n",
        "diapositive “Température et Coût”.\n",
        "\n",
        "## Meilleur itinéraire"
      ],
      "id": "645b5b45-09e5-42ed-a766-bc30572fab61"
    },
    {
      "cell_type": "code",
      "execution_count": 45,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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IDSRaVXQF8pZvtzbP27FjTUZSCHgUgiZePXv2xPPPP4/nnnsOvXr1skWKrr+r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\n4TkkXkIIITyHxEsIIYTnkHgJIYSA1/j/rBlp2EuUsXQAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Plot the final best route\n",
        "plt.figure(figsize=(5, 5))\n",
        "plt.scatter(*zip(*coordinates), c='red', marker='o')\n",
        "plt.plot(*zip(*coordinates[best_route]), 'b-', alpha=0.6)\n",
        "plt.title(f\"Meilleur itinéraire - Coût: {best_cost:.2f}\")\n",
        "plt.show()"
      ],
      "id": "2329e42b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Nous avons identifié une **solution optimale**!\n",
        "\n",
        "## Température et coût"
      ],
      "id": "5bc97b6d-0d44-4b5f-a133-215cf36a60ef"
    },
    {
      "cell_type": "code",
      "execution_count": 46,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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aAAAA7hDMcucAAHgEjwvspKamyoQJE2TgwIGmDo9uet/q1atl5syZRf6NPj49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\nxRg+fLj88ccfcuDAAROgGTt2rPTv39/UyVG33367vPbaazJr1iwzVUt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          }
        }
      ],
      "source": [
        "# Plot temperature and cost graphs\n",
        "plt.figure(figsize=(12, 5))\n",
        "\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.plot(temperatures)\n",
        "plt.title(\"Température au fil des itérations\")\n",
        "plt.xlabel(\"Itération\")\n",
        "plt.ylabel(\"Température\")\n",
        "plt.subplot(1, 2, 2)\n",
        "\n",
        "plt.plot(costs)\n",
        "plt.title(\"Coût au fil des itérations\")\n",
        "\n",
        "plt.xlabel(\"Itération\")\n",
        "plt.ylabel(\"Coût\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "dad83d26"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Échange de voisins\n",
        "\n",
        "- **Description** : Sélectionner deux villes au hasard et échanger leurs\n",
        "  positions.\n",
        "\n",
        "- **Avantages** : Simple et efficace pour explorer des solutions\n",
        "  voisines.\n",
        "\n",
        "- **Inconvénients** : Le changement peut être trop minime, ce qui peut\n",
        "  ralentir la convergence."
      ],
      "id": "37c3dd9d-7917-466f-b5b7-70a844abf51a"
    },
    {
      "cell_type": "code",
      "execution_count": 47,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_neighbor_swap(route):\n",
        "    a, b = np.random.randint(0, len(route), size=2)\n",
        "    new_route = route.copy()\n",
        "    new_route[a], new_route[b] = new_route[b], new_route[a]\n",
        "    return new_route"
      ],
      "id": "943f0fb0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Trace d’exécution"
      ],
      "id": "f82d8282-caa6-416b-9aef-6176ad936ca8"
    },
    {
      "cell_type": "code",
      "execution_count": 48,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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C+L4IQ4Y7m5dc2xxfRfDGG2/o4YcfDtbb+AAyWTDxtoS/x5pOVVoqz0vEtttu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\n0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841CZwzRyvqi0BY/lIrBGXqVSh87Lh5nlG2A/xS7W3OdHEyw7AJv//u7vdsw4YIB2X0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\nzOExjGLycx5rsqumqo2W1TgdqluCdl/baagWrPpP4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XB8/s6pKtn/ALM5KQSfigxN1kuU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y83z7nhsoOdIvjIBkM4Ee756CfOhBYDy7/+Gu4jcp7mcEq6EE6hVi3g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\nhBBCCCEE/OH/AVcIXYUilRZHAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# Plot the final best route\n",
        "get_neighbor = get_neighbor_swap\n",
        "\n",
        "best_route, best_cost, temperatures, costs = simulated_annealing(distance_matrix, initial_temp, cooling_rate, max_iterations)"
      ],
      "id": "702c619c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Meilleur chemin"
      ],
      "id": "c422bfc2-e7ea-4873-a67e-ca124b190b08"
    },
    {
      "cell_type": "code",
      "execution_count": 49,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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QIRUvjktPPuaa3ZK5Pi3bk8PheOxC7izKNBRCCBFy8eKsqSNHjiRZR2FyZlCltj05zz33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\nnHDcwgAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# Plot the final best route\n",
        "plt.figure(figsize=(5, 5))\n",
        "plt.scatter(*zip(*coordinates), c='red', marker='o')\n",
        "plt.plot(*zip(*coordinates[best_route]), 'b-', alpha=0.6)\n",
        "plt.title(f\"Meilleur Itinéraire - Coût: {best_cost:.2f}\")\n",
        "plt.show()"
      ],
      "id": "874cfb2a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Dans ce cas précis et pour le problème donné, la **réversion de\n",
        "segment** (coût = 386,43) s’est avérée plus efficace par rapport à\n",
        "l’**échange de voisins** (coût = 430,03).\n",
        "\n",
        "## Température et coût"
      ],
      "id": "7107cf23-b874-4860-a73c-8f703528494c"
    },
    {
      "cell_type": "code",
      "execution_count": 50,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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J2CkYyMkuLgIEAACqBIEdD3Nu21pSIzRANh9Oko2HEl3dHAAA4OX+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AAAAA9FYAcAAAAAAMBDEdgBAAAAAADwUAR2AAAAAAAAPBSBHQAAAAAAAA9FYAcAAAAAAMBDEdgB\nAAAAAADwUAR2AAAAAAAAPBSBHQAAAAAAAA9FYAcAAAAAAMBDEdgBAAAAAAAQz/T/3GIfwOyTMrQA\nAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Plot temperature and cost graphs\n",
        "plt.figure(figsize=(12, 5))\n",
        "\n",
        "plt.subplot(1, 2, 1)\n",
        "plt.plot(temperatures)\n",
        "plt.title(\"Température au fil des itérations\")\n",
        "plt.xlabel(\"Itération\")\n",
        "plt.ylabel(\"Température\")\n",
        "plt.subplot(1, 2, 2)\n",
        "\n",
        "plt.plot(costs)\n",
        "plt.title(\"Coût au fil des itérations\")\n",
        "plt.xlabel(\"Itération\")\n",
        "\n",
        "plt.ylabel(\"Coût\")\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "150b5c5c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Sélection d’une stratégie de voisinage\n",
        "\n",
        "- **Mouvements simples (échange, insertion)** : Efficaces pour\n",
        "  l’exploration initiale ; risque d’être piégé dans des optima locaux.\n",
        "\n",
        "- **Mouvements complexes** : Améliorent la capacité à échapper aux\n",
        "  optima locaux et accélèrent la convergence ; impliquent un coût\n",
        "  computationnel plus élevé.\n",
        "\n",
        "- **Approches hybrides** : Intégrer diverses stratégies pour la\n",
        "  génération de voisinage. Utiliser des mouvements simples au début, en\n",
        "  passant à des mouvements complexes à mesure que la convergence\n",
        "  progresse.\n",
        "\n",
        "## Température initiale\n",
        "\n",
        "**Influence** : Étant donné que la probabilité d’accepter un nouvel état\n",
        "est donnée par $e^{-\\frac{\\Delta E}{T}}$, la sélection de la\n",
        "**température initiale** est directement influencée par $\\Delta E$ et\n",
        "donc par la **valeur de la fonction objectif pour un état aléatoire**,\n",
        "$f(s)$.\n",
        "\n",
        "## Température initiale\n",
        "\n",
        "- **Problèmes exemple** : Considérons deux scénarios : le problème $a$\n",
        "  avec $f(a) = 1,000$ et le problème $b$ avec $f(b) = 100$.\n",
        "\n",
        "- **Différence d’énergie** : Accepter un état 10 % pire entraîne des\n",
        "  différences d’énergie de $\\Delta E = 0.1 \\cdot f(a) = 100$ pour le\n",
        "  problème $a$ et $\\Delta E = 0.1 \\cdot f(b) = 10$ pour le problème $b$.\n",
        "\n",
        "- **Probabilité d’acceptation** : Pour accepter un tel état 60 % du\n",
        "  temps, on fixe $e^{-\\frac{\\Delta E}{T}} = 0.6$. La résolution pour $T$\n",
        "  donne des températures initiales d’environ $T \\approx 195.8$ pour le\n",
        "  problème $a$ et $T \\approx 19.58$ pour le problème $b$.\n",
        "\n",
        "## Température initiale\n",
        "\n",
        "Une **approche populaire** consiste à définir la température initiale de\n",
        "sorte qu’une **portion significative des mouvements (souvent autour de\n",
        "60-80%) soit acceptée**.\n",
        "\n",
        "Cela peut être réalisé en exécutant une phase préliminaire où la\n",
        "température est ajustée jusqu’à ce que le ratio d’acceptation se\n",
        "stabilise dans cette plage.\n",
        "\n",
        "Ben-Ameur (2004) propose une méthodologie mathématique plus rigoureuse.\n",
        "\n",
        "## Stratégies de refroidissement\n",
        "\n",
        "Dans le cadre du **recuit simulé**, le refroidissement est essentiel\n",
        "pour gérer la convergence de l’algorithme. Le calendrier de\n",
        "refroidissement détermine le taux de diminution de la température,\n",
        "influençant ainsi la capacité de l’algorithme à **échapper aux optima\n",
        "locaux** et à **converger vers une solution quasi-optimale**.\n",
        "\n",
        "Nourani et Andresen (1998) et Alex et al. (2017)\n",
        "\n",
        "## Refroidissement linéaire\n",
        "\n",
        "- **Description** : La température diminue linéairement à chaque\n",
        "  itération.\n",
        "- **Formule** : $T = T_0 - \\alpha \\cdot k$\n",
        "  - $T_0$ : Température initiale\n",
        "  - $\\alpha$ : Un décrément constant\n",
        "  - $k$ : Itération actuelle\n",
        "- **Avantages** : Simple à mettre en œuvre et à comprendre.\n",
        "- **Inconvénients** : Conduit souvent à une **convergence prématurée**\n",
        "  car la température diminue trop rapidement."
      ],
      "id": "147dc826-d15d-4ce4-a8c7-9b767bd69c50"
    },
    {
      "cell_type": "code",
      "execution_count": 51,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = initial_temp - alpha * iteration"
      ],
      "id": "74bbe0ca"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Refroidissement géométrique\n",
        "\n",
        "- **Description** : La température diminue de manière exponentielle à\n",
        "  chaque itération.\n",
        "- **Formule** : $T = T_0 \\cdot \\alpha^k$\n",
        "  - $\\alpha$ : Taux de refroidissement, généralement entre 0,8 et 0,99\n",
        "  - $k$ : Itération actuelle\n",
        "- **Avantages** : Largement utilisé pour sa simplicité et son\n",
        "  efficacité.\n",
        "- **Inconvénients** : Le choix de $\\alpha$ est crucial ; s’il est trop\n",
        "  petit, la température baisse trop rapidement, et s’il est trop grand,\n",
        "  la convergence peut être lente."
      ],
      "id": "6b7dfbfe-6c56-48ac-a2d1-3fa5c37715b3"
    },
    {
      "cell_type": "code",
      "execution_count": 52,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = initial_temp * (cooling_rate ** iteration)"
      ],
      "id": "ae3d7d30"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Refroidissement logarithmique\n",
        "\n",
        "- **Description** : La température diminue lentement selon une fonction\n",
        "  logarithmique.\n",
        "- **Formule** : $T = \\frac{\\alpha \\cdot T_0}{\\log(1+k)}$\n",
        "  - $\\alpha$ : Une constante de mise à l’échelle\n",
        "  - $k$ : Itération actuelle\n",
        "- **Avantages** : Offre un taux de refroidissement plus lent, utile pour\n",
        "  les problèmes nécessitant une exploration approfondie de l’espace de\n",
        "  solution.\n",
        "- **Inconvénients** : La convergence peut être très lente, nécessitant\n",
        "  de nombreuses itérations."
      ],
      "id": "f98da4d6-a697-4e72-b1d1-3bd9d080c2bd"
    },
    {
      "cell_type": "code",
      "execution_count": 53,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = alpha * initial_temp / (np.log(1 + iteration))"
      ],
      "id": "a62100d0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Refroidissement inverse\n",
        "\n",
        "- **Description** : La température diminue selon une fonction inverse du\n",
        "  numéro d’itération.\n",
        "- **Formule** : $T = \\frac{T_0}{1+\\alpha \\cdot k}$\n",
        "  - $\\alpha$ : Une constante de mise à l’échelle\n",
        "  - $k$ : Itération actuelle\n",
        "- **Avantages** : Permet un processus de refroidissement plus contrôlé,\n",
        "  équilibrant exploration et exploitation.\n",
        "- **Inconvénients** : Peut nécessiter un ajustement minutieux de\n",
        "  $\\alpha$ pour être efficace."
      ],
      "id": "a744aa78-7bb4-483c-b902-9bbcbe5e6b89"
    },
    {
      "cell_type": "code",
      "execution_count": 54,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = initial_temp / (1 + alpha * iteration)"
      ],
      "id": "adae3774"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Refroidissement adaptatif\n",
        "\n",
        "- **Description** : Le calendrier de refroidissement est ajusté\n",
        "  dynamiquement en fonction des performances de l’algorithme.\n",
        "- **Stratégie** : Si l’algorithme ne progresse pas de manière\n",
        "  significative, le taux de refroidissement peut être ralenti.\n",
        "  Inversement, si le progrès est régulier, le taux de refroidissement\n",
        "  peut être accéléré.\n",
        "- **Avantages** : Plus flexible et peut s’adapter aux caractéristiques\n",
        "  du problème.\n",
        "- **Inconvénients** : Plus complexe à mettre en œuvre et nécessite une\n",
        "  conception minutieuse pour éviter l’instabilité."
      ],
      "id": "1ed8ae1e-dd85-4723-b4aa-8931d94481f3"
    },
    {
      "cell_type": "code",
      "execution_count": 55,
      "metadata": {},
      "outputs": [],
      "source": [
        "if no_significant_change_in_cost:\n",
        "    temperature *= 0.99 # Ralentir le refroidissement\n",
        "else:\n",
        "    temperature *= 0.95 # Accélérer le refroidissement"
      ],
      "id": "7134a0ef"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Stratégies de refroidissement"
      ],
      "id": "2143bd8b-f896-4788-bde1-ec2c4988af86"
    },
    {
      "cell_type": "code",
      "execution_count": 56,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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+eu3WW29Vrz///HOtffv2ls8LN998s2X94lo+v3z5cqVprFm1apUWHh5ueV/b\nMfTt5d7Jzs5Wc1d9x+uqpbwyGUjMyJMmTULHjh3Ve/kl1L17d/zwww9K4de23ls4uHUZNs37GnkV\ngcDEiZ5uDiGEkMrwLSlELRZGGarvH//4h7ouknwhrmuxMOluTEG2ESuSWM6qQ6x0uutd3LvyTLJO\nMpJjXHrppcoyZVubUCxb/fr1U146QdaLJdLaAmqNuH2ff/555RUUF69Y3+Tzta0T17y4ZOfNm6cm\nQayycs5ivdNHghHrno6cs5yLjHctSHhAcnKyxZLm6D7FzavTtWvXOsVk1nYMcR9fffXVWLJkCS64\n4AK89NJLyltqje7y1xHL4Isvvqish3/99RcmTpxocUPLOYrGkOU6cnyxqFqfg+7GF8uqjI5l7VmV\n/Yr31pHPO4Ijx/BWvFJo7tmzR8UyWCOdIssdWW+LmMWtzfzSOYK1u8QVrPr6bfT/eQdWdvfDsfxj\naBnZOAO5GxP6/eDK+4I4D/aX56+/CCd9Eg7+d0K128s2Eh8nD11nFnnXj+3oduIi1WM0r7/+eiVS\nRFTI0H1Cdna2co9bi0SJ57M+T9tjinDVl8nzRuL7rLeR4fvkesmwnfpQfvr+ZHsRqdbb66LVepm+\nvRhZRGCIC1ZiMW+99VblmpXzqmmdnJ9cd1uRJzGq0gb9WNZtl+1FpFm3Q5bpfV+ffQpyHeydmz0c\nOYa0R8IGRCTqrmjrfcs1l33oy/XrLZ+Xz9pef9le37dMttfA+hzkXhGdYd0+EYUi0DUHPm/vnrJd\n5sgx7H2uoej7tqeXHH1OeqXQlAsqcTO2X2L9i1/belskc0sCvW2RwGa5KV2FofzU5f1lwa9IDmzt\nsmMR56L/aia+AfvLM8jDuUWLFiquThdpjiBi0xPobZQYSj2+UrxgkoAicYxi1ZKYf7EATp482fK5\nw4cPq0Qe+Yz+wNc/L4ggkX3ry8TwIWJPLJJ6wonETIqF0zoGUaxx8hnZXhJlxFgi4kH49ddflRCx\nPo6+vQiqdu3aqYQYmXr16qViOkUQ17RO4hJlHxJPap3Brifn6seSNuqvdcOMdZ+JwJAkFtmmPvuU\n7UW86O/F6ilWZutztcaRY4gVV5JsJIZzwoQJqmzVuHHjLP0t/SYJORJzKkg5IbEgy7lITO4XX3yh\nBKoIYrnusq3Eosq+5fPW7dXvJf0+kPtl27ZtKrZWBKUg+5C+yHXg89KGsrKy0/ra+vrVdgx9e72f\nnPUdkzbKPSCJUrbCsjrN5RNCs1mzZjh58mSVZRIwrLstaltvyxNPPKHcCDpy0SRjS25GW8HqTPJK\ncpA2Zwvkd3uLrr0xsYc5y454L/JFEtFi7QYj3gv7y7PIg+bQoUPKtezIj3ZXWTQdRW9jeHi4pVKJ\nzG+77TblKhfLpmQrS9KFWDjFOigPcnGbi/tWtpV9yIPeutKJiBMRS/oycT2LUJVEItmXJHaIcBTj\nhvXnxFUr72V72VaE7lVXXYVdu3apY4pVzd72kn0tyS/iGpdrLyJZQshqWyfuZMlilnXiOpb9ScKP\nPFO/+uori+dPPqcfV39GWveZ/G8U40599ynbyL7094MGDVLubkmWkSx326zz2o4hyUGSACTLRLRL\nIpMkDEvikbj5pb+lf0SkyXWWe1CEpVwbaYNYRr/77jt1/UWcLl26VFm1RaDLevm8dXsF2Z9+H9x/\n//3KgiztE9e9iEYRvJKsPHjw4Fo/L+csr0WniI6RNupufP0ztR1D3176yZnfMd2wJz9abL/j+o8Q\nnxSaw4YNUxf0P//5j0X5y5deSjs4st4W6UD9F4A18mVxpZgwRJwqPrstNR2X9aZw8RVcfW8Q58L+\n8tx1l4eZPjlKXbd3FvIcePDBB5WV0fr4jz/+uBKLEncosYSSOS7CULK85UeniBg91lCePyJerD8v\n2eJiHbNeJgXdRVhKFrnE5olnTcrm6Eg7xHqpf+abb75R5WxEZIpIlUxvyVDW11tvL9ZJEWfSRrEU\nShF6MZzUtk6QdkgZIBFTena8iAi9P+U4IuD07cXaK6LGus8k3ECy6Ou7T7l+d999t+W9WHtFMMr1\nF8ucvXujpmNIuZ+ZM2dasszl+omFVGJf9b4WsSfC7KefflJCbOXKlZbYVVkn/SRiU4S6hObpglaQ\nfYhwtW6X1F/V+0PuK8l4l1AFEbcyEID0v1iTHfm8iEKJ15T+FqusaBop3SSVCPTP1HYM2+2d9R3T\n92Pvf6yjz0g/yQiCmxGFLGUS5OaVXy5S5kBuZrlJ5GaUX8iSti83s3zpJfhVxn2VsgOiqGtbXxui\nwuXXmJj+XWrRnDsXRx94EKu6+WHV+dfho9sfc9mxiPMsZFKTTX7ZUmh6P+wvzyL/y+V/b4cOHRy2\naIqbT6w0nhCapO40hj6TJCH5MWDrCW2MaE7ur5q+445qKY/U0RSTtPwaeeqpp1QMhPwSkffyq0SQ\n+BL5tSEXS36NiftCbhT9JGtb7zVYdXJB1hEUlzHBhBBCCCFNB4+4zqX6/4oVK2rcRszBn3/+eb3X\newW6CVsD4rRMrD2UhXO6nBoFghBCCCGuRVz14romnoFjnbuUUxbNeL9sLN9jHgGBEEIIIe5BvJ72\nKs8Q90Ch6Sa5meCXg+V7G398CCGEEEKIDoWmO2I0xXXun4vd6flIz3O81hwhhBBCiC9DoelKrBK+\nYv3z4A8TrZqEEEIIaTJQaLpNb5rQHFlYvpdxmoQQQghpGlBouinr3OgHtPVPx4q9J2Eyub10KSGE\nEEKI26HQdCHWxVKN8EPvsGxkFpZhx3HPjPNLCCGk4UjN53//+9+q/rOrkLHSn376aZft39eQUW9k\npCbie1Bougkp1T401iwwl9F9TgghPkl6ejrOPvtsNQ65DDvpKuF08ODBKrWim7rQevfdd3HixAmn\nXA8ZivKtt96q02ea+vVvCF451nnjdJ37oWtwlnq/fM9J/HNkJw83jhBCmhYVFRW47777LB4nGS/6\njDPOUEPOOjpc37x589CnTx/85z//aVBbunbtWqfR7Oq6vS9x11134YknnkCLFi1cfj3+/vtvPPro\no2os+LrQmK+/q6FF05VUcZ0DiRXH1KL1KVkoKqtw6aEJIYScLjTFMmYwGJRwMBqNuPHGG9VUF4tm\nfHx8gy/tP//5TzRr1sxl2/sS0ieZmZl1+kx9r4dYin/77Te0bNnSLccjtGi6BZGbYtEMyE1Bn9Yx\n2JyagzUHsjCqWyLvQUIIcTOXXnopRo4cqV6L4Lzpppvw4YcfIjAwUC07cOAAfvnlF+WqHTRokNpe\n+Prrr/Hzzz8jIyNDWeGGDRuGq6++Gu+9957aT0lJCVavXo3Ro0er/c+aNQvr1q1DbGys2oeMUGPt\nin3kkUfQqlUr9d5kMuGrr77Cjh070LNnT0RGRlZps+3227ZtU20pLS3FueeeqyadmtYJS5cuxbJl\ny9TrCy64AAMGDLC04Z577lHHWrJkCfbu3YuBAwdi3Lhx2LJlC3744Qd1jW644QY1rGNd9vnwww9j\nwYIFap+9e/dW102syPqIPS+++KKyMJ9zzjm44oorau1D6+tR2zGs27hz5041WbdR+Ne//oW8vDx1\nfhISce2111bpA3vHe+ihh9TxZH+PP/44YmJiMHPmTHX9ZahtOX5CAoedpkXTpZwq2F5hCAKKszG2\nvdn0vpTDURJCiMfJyclBUFCQirnUXeMiLvft24eoqCg888wzSogK4toV4SACpFu3bhZXr7hhp06d\nqsSqiCURliIyHnjgAYSEhGDXrl3o168fli9fXm3MoYgrEVsRERGqDSJkrbHefuPGjRgyZIiyAkpb\nXn75ZbW+tnWCiKPrrrtOWXNFiIqI/P7779U6EVCy7fnnn489e/YgNDQUt9xyi7L43nrrrQgPD8fW\nrVsxdOhQFBUV1XmfIsDkmopgk2QqQRff7du3V9c0KSnJoX6zvh61HaO2NgoiLuX4IqDl+ovAlh8O\nNR1v7NixSoBL28vLy9V1/+ijj5TglH6QEIsjR444dD6NGq0JUlRUJPWF1NyV5C1apO3o2k37YkJ3\nbfqHAzTt6Sht+/qlWttH52jnvLLIpccm9aOiokKbNWuWmhPvh/3lWUpKSrQdO3aouYWno9w/OUhx\ncbH633/JJZdod955p3bZZZdpiYmJ2qeffmrZJjk5ucr7rKwsLSoqStuyZYt6/9xzz2kXX3xxlf2O\nGzdOGzt2rOX9ypUrtaCgIC0lJcWy7KGHHtIGDx5seW8wGLSNGzeq1ytWrNDCwsK0tLQ0y/rrr79e\na9u2rd3tP/jgA23kyJFV2nDo0KFa18nnQ0NDtdTUVMs6+X+nH6e8vFxdn08++cSy/pFHHtHi4uK0\nvLw89d5oNKprNn/+/Drtc/r06Zb1X331lda5c2fLe1m/detWrSasz9/2fW3HqK2N9jjrrLOq3Af2\njvf2229b1j///PPa0KFD1fXRufnmm9V95k5MJpOWnZ2t5i77jtdRSzEZyF2u85AY9bpr0ElEh0bg\nUGYRDp0sRLtm4e5oAiGEkEratGmDTp06oaysTL0XN6sg1qfU1FTlNl6/fr3lekkSiFiu9O3sIZno\nOhs2bFDubzmOzvjx4/F///d/yhqmW091xPolFk9ra955552n2mGPiy66SO1r8uTJyqo2atQoi2Ww\npnXi1g8LC8NLL71k2ZdYJlNSUpCbm6sslsLgwYMt61u3bo0uXbooS6sgbRdLrm7dc3SfZ555pmW9\nXBdra66zqO4YtbUxOjpaZZRLaID0v1gyxdK9e/fuGo9n3eerVq1S95O41HXEKl5RwXwMCk03jXVe\nEWoWmoacQxjReSTmbDmOJbszMLVZe5c2gRBC3MozudWuEuOV/mB3NMvb1TGa4ma95pprlEtYkoR0\nN6q0Ueepp55SQrAmxEWuI3F+tgJDXKsBAQF2z1u2l/W221eHCD1p76ZNm/DXX3/h4osvxqRJk1Qm\nfE3r5PzEHS4uYmskVlHapqNfh+reC2ZDJOq9T/3zzqS6Y9TWRonJ1asPyI8J2VbEf35+vsN9LseQ\nsArrY8jrBMZoUmi6Ev0fivw1hVT+08o+hJFdE5XQXLz7BKYOp9AkhBBPIXF806dPxxdffKGSXLp3\n766sX9YxkmvXrq1TlrIkCd15551K7OkCVfYvy+0JTVl+9913KwuaJBWJQJKkkupYs2aNsjL2799f\nTSJmJBFGxGRN68QCl52draycYnEV5Fh//vmnsjzWx/rmjH3KdtYxn86mtjauWLFCJfnMmDFDrROL\npnVcqyNIAtgnn3yCm2++2SJAJblo+/btaOrQoulKrP6hVARHmV9kH8Q5o8xZaKsPZKKk3IiQwNN/\nLRJCCHE9krhx//3344UXXlCZxl9++aWyAErGuLjXJSlG3N2SIOIoYhWTUYNE2Eh286FDh5Sb9vff\nf692e3G5Dh8+HBMmTFDJQzUhoknc25JsIgk/Uq7njjvuqHWdiNjXXntNCS/J7hZ3uIQIyDHFVV8f\nnLFPuU633367SjISS7MjWefObOOIESPU9ZfXkgwkwrOuFnf5YSHuc7GGy/kUFhaqcIvXX38dTR0K\nTTegCrYHR1gsmgmRwejdKhpbj+Zi1YFMjOrKMkeEEOJqxEUt8Yu2I/qI0JTamBLTJ+5UKVcjGeIS\ntycZ5yKAdOEhmc3WZXF0kWFb7uf555/HP/7xD1UgXLLQReCIm15n2rRpKv5RR4SQCCwRmSJ6pGaj\nXi7Idntpg5RNWrRokXLvSkZ1r169al0niKCTOE6xfIoYkrAAEdS6+1euj5Tm0ZF2S/utkVI+Yi2t\n7z4lZvTVV1+1vJfYSBHyx44dqzbr3PZ6Wb935Bg1tVGyxsWaLBZOscBK8XjbbPHajifLvvnmGxW2\nIAJTLKUibOPi4tDU8ZOMIDQxiouLlWtETPUSi+EqCpYvR+ott2JTez8ceeY6PDzvJbOV84l0vL7o\nIP5v0T5cP7Qtnr341D8B4lmk9MWcOXNUrI69uCTiXbC/PIuUiZH4tg4dOjg0aoq3xGgSx2GfNe3+\nKq3hO+6olmIdTZdi5TqXjKDo1oBmAnJTMbKr2X2+hPU0CSGEENJIodB0l+vcZARi25kXZB9Ev+RY\nxIQFIiWzCAdPFrqjGYQQQgghboVC05VYZ52LJTOuMsM8+xAM/n4Y0dls1Vy8K8OlzSCEEEII8QQU\nmq7EKjyiQqs4ZdHMOqhmI7vQfU4IIYSQxguFppswu85PWTSFc7qeKnNUXGZ0V1MIIYQQQtwChaY7\nCrZrla5zS4ymWWg2iwhGn9bRKKswYdWBk65sCiGEEEKI26HQdFfBdnGdW8VoorKqlMV9vtv5474S\nQgghhHgSCk034Ke7zkNjARmKsqwAKDRbMEd2S7QIzSZY0pQQQgghjRgKTXdYNHXXuWATp9m3dQxi\nwwJxOKsIB1jmiBBCvB4Z1OGqq67C5MmTXXYMGV/9+uuvd9n+fQ0ZylMKh3szMlSpjMxkO6pQU4dC\n06Wccp0btcpkH6tamgLLHBFCiO8gYkeGlpRxsm+77TaXCaeMjAwsXbrU4e0bO/Pnz0deXp5H21Bb\nH4jQlHYWFBS49bjeDoWmG/CDhgpThfmNdZxmJaO7m93nC3eyniYhhLiK8vJyZXGSafz48ZgyZQre\nfPPNOgkDGUN80KBBuO6663DuuefWuy333nsvEhISXLa9LyH9kZKSAm/Htg/c1e57fbzvAzzdgEaN\nbda5YFNLUzinS4KybK47lIXc4nJEhwZ6pLmEENKYMRqNyuL08ssvo0+fPkhLS8OLL76IBQsW4Lff\nfnNoHydOnEBUVFSD23Leeee5dHtfQvokPz8f3o5tH7ir3ef5eN/Toummgu2nXOe6RfOU0IwJC8LA\ntrGoMGlYxrHPCSHEpQwePFhZo6ZOnaqE5u+//47S0lLL+uXLl+POO+/ElVdeiVdffdWy7q233sKn\nn36KVatWqc/Le+Hf//43Zs6cibffflu51WfNmqU+89prr6k4zttvvx3Lli2r0R0qVtWnn34aV1xx\nBZ555pnTrKy224swlhhOiRX96KOPqiST1rRO3LuffPKJWi/TTz/9VGWdnJec/6OPPopJkyap61NR\nUYFff/1VnZtYctetW1elbY7sc8OGDXj88cdx+eWX49lnn0VRUZFaf+ONN6q5XCPZ7r333nOoD2u7\nviIAn3zySXU95bouXLiwSszr1VdfrY534YUX4oEHHqhimdTbvH79ejz22GO4+OKLcfz48Sp9UFO7\n5ceIvXM11fP61naviJVdP7fs7Gx13MLCU0Nby/2qt7e2/nIFFJpuqKMpnGbRtHKdC2Ms7vN0VzaJ\nEEKIFdu3b0dsbCyCgoLUe3kAy4O6U6dOSmguXrxYiRFh7NixGDp0KDp27Ij77rtPvRdEkNx6661K\nrIiA6devH8aMGaMe4JdccgnatWunYjp//PFHuzGHIgRlXyJA5NjyXoSuNdbbS+ymiBJx4YvY2Lhx\noxIsta0T5Jw++OADdbxRo0bhwQcfVALZOsbwhhtuQIcOHXDppZfi3XffVW0XgX3ZZZehefPm6rNZ\nWVl12qeI3tatW6ttf/jhByXuBDmWcO2116prKp+vDbk+NV1fOebo0aOxZs0adQ38/f3Vca1jXm+5\n5RZ1PJnL9gMHDlQizbrN8tmWLVvijjvuQHR0dJU+qKndN910k91zNdm5vu+88w5GjBih7rvqrm9t\n94q0Uz83EeAiqiVMRCc9Pb2KEK+pv1wBXeduoIrrPLo14B8A5B8HyouBwFC1eHT3JLw4dxeW7DmB\nCqMJAQb+BiCE+B69P+/t9mNuvX5rnbZ/5JFHEBcXp1znIi6++eYbZRgQIfDQQw/hs88+w0UXXaS2\nnThxIpKTk5VoGTJkCDp37ozc3FxlmbJ1b77xxhvq9R9//KEE3uHDh9VxBNm3WKFETNjy559/Yteu\nXUhNTUVERIRaJscQy6g99u7di969e+Ouu+5S72WfuhCpaZ2IE2mbHEeEkyAiTYSKxAHqvPLKK8ra\nJuzfvx8ffvghVqxYocS4iJtvv/1WWcnE0uboPkXsymeFwMBAi/gSkSUMHz4cvXr1cqj/5HrVdH1l\n/b59+1T2d1hYmFqfk5ODn3/+2bIPa2Eofb1nzx5llRYLpY5YC6vL/LfXbrFM1nSu9q6vWCrl+ooQ\nlG1tr29D7xVbHO0vZ0Kh6Y4YTVXhqNJ14W8AYtoAWQeA7BQgsZta3DEhAu2bhePgyUJsOJyDwe3N\nXx5CCCHORR7mIsa2bt2K559/3iIQxCIpwlMShKxdoWIdkoe7CM3qGDBggOX1zp070aNHD4sI0gWJ\nCCGJEzUYDFU+u2PHDtUeXTgIYjmtTjyIReqXX35RIQCSkCTWO7Hw1bZu06ZNSlBbl2UqKyvDyZMn\nkZmZaREe3bt3t6yPj49H+/btlQjSkfPSrX+O7rNnz56W9ZLYon++PtR2fWW9iD9dZApnnnlmFaEp\n7ukZM2YowVVSUmL5THV9WhdqO9fuNtdXrOfVXV9b6nqv2FJbf0l7nA2Fpiuxcp1XKcYucZpKaB60\nCE3h3G6J+HjFQeU+p9AkhPgiNVkX5f+gWF9EfFiHFrkbEWEjR45UmefSjptvvllZAvUkH3FtJiaa\nw5nsiQd7WAsF2Y+cpzXyPjw8/DSRqW9vW7qnplI+sv3s2bOVlU4srS+99BK++uorZYmtbZ2IGHH1\n2lp4rYWLbd/U1Ff13WdDqO36RkZGnpakY/1+y5YtSoQ//PDDah4aGqp+XOixlPb6tC7Udq5+dbi+\ndb1X9PtLBLeO9Xk52l/OhP5ZdyCuc1S6zmuI07SUOdrFMkeEEOIO7r77bjV///33lTXnrLPOwubN\nm5UrXC+FJNalkJAQh/d5zjnn4NChQ5g3b57FYiSxeNVlD4voFYuaHkdXXFyMjz/+uNr9y37F1RsT\nE4Nx48apOEE9Rq+mdWLdlHMRYaOfm7iAxcUcHByM+uCMfYr4EWHsrOsr11Nib1euXGm5ntOnT7d8\nXvq3VatWKolL4iT79++vLIV1pa7tdga13SvNmjVTglFc77o1Xn5o6LjiHqgNCk13uc6tLZp6LU2r\nEkfCoHZxiAwJwL6MAqRknsoYI4QQ4hpEQEpmsWSXi+Xniy++wOrVq9G2bVslaESQyEhAYi1zFEn0\nkCQacU+Ky1Zco/Jw12M47W3/+uuvKwvrsGHD0LVrVyQlJVW7fxHEEovYt29fJYwltu5f//pXresk\nQeXLL79UGchS3kmOJTGntpa8uuCMfcp1kkmEsSNZ57VdX0nWkv6UZBf9eooA0619Iq5EgHXp0kX1\nsYRESNJPXalru51BbfeKCEjJaJfkq7PPPhvdunWzJLq56h6oFa0JUlRUJKpPzV1J4d8btB1du2k/\nn9tNu2r2VadW7PhV056O0rQvrzjtM3d9vUFr++gcbfryAy5tG7FPRUWFNmvWLDUn3g/7y7OUlJRo\nO3bsUHNHMJlMWnZ2tpp7AqPRqM2bN0/LzMysslzaL8tPnjxpWbZ//35t2bJlWlpaWpVtZfmGDRuq\nLFu/fr128ODB046Xk5OjrVy5Ul0jObY18+fP1/Ly8qosS09P11asWKGdOHFCy8jI0JYsWVLt9rK/\nzZs3q+3lmtqeZ3XrhNLSUm3Lli3aqlWrtIKCAsty6Re5DtbLDh06pC1YsKBKn8k5HTt2rN77lDbJ\nPq3ZunWrOke5Vvawd71qur6C9J1+Pd955x3tzDPPrNJeaevy5ctV22Qf+rHttbm6Nli3u7ZzNdlZ\nn5KSoq1Zs6bKPm2vb233yuzZs7W2bdtajiHHlPtRzk3uddlW7mVH+qsu33FHtZSf/EETQ0zNEiQs\nCl5iM1xF0YaNSLn6auxpCXx9fx/MvHCmeUXaNuCD4UCzLsBdVetlzdp4FPfN3IThneLx1c1nuqxt\nxD4S1yLWC8k0tRdLRbwL9pdnkVIqkjUrVhZH3G7eEqNJHMdX+0xKAombWe5LcW+LdU+yyyX5q7Ex\nZ84cVWVAwgmc3V81fccd1VJ0nbsSqz62ZJ1XidFMkZoMVT4ysqt5lKA1B7KQV3KqDhYhhBBCHEPE\npbjUJXxARJK4xiXhhbgfZp27EOtfE1UMx8ERQHgCUHjCXE8zutVpowStPZilRgma2KfucSOEEEJI\nU0ZiJyUWc9u2bWjRooUSm42VIUOG4PPPP4e3Qoumuwq2W2edVxmKsmrmufUoQYt2MvucEEIIqQ/i\nPpb6mo1ZZOq1OiWpyVuh0PRE1nkV93nVzHPh3G7mDLLFuzNgNDW5EFpCCCGENBIoNF2JvbHObUsc\n2bFodkwIR7v4MGQXlePvlPqPnkAIIYQQ4kkoNN2BZpMMZG3RtKmlqcd2ju1htmr+uSPNLU0khBBC\nCHE2FJoec51Xb9EUzuvZXM3/2JF++mcJIYQQQnwACk2XckponuY6ryFGUxjQJhbx4UFIySzC7vSq\nY7YSQgghhPgCFJruitG0zTqPbA4EhABFmUBJ3mkflVqaY7qb3ed/bE93aTMJIYQ4joyLLkMfDh06\n1GWXbcmSJWpcakJ8HQpNd8Vo2rq/RYRarJr23efjelUKTcZpEkKIV7B161Y1dvgrr7yixkWvL716\n9cKuXbuqXV9QUID9+/c7vH1jp6mfvy9DoelKKg2adl3nVeI07bvPh3VshrAgA7YdzcPRnGJXtpQQ\nQho9ZWVl6Natm5q6d++uaizee++9OH78uMP7WLlyJQYNGqSGNJSRZ+rLjz/+iPbt27tse19C+mPv\n3r1N9vwbOxSa7hoZyDbrXKjFohkSaFBDUgp/bGf2OSGENASTyYTdu3cri+TPP/+MF154AWvWrMGk\nSZMc3kdWVpYa37mhdO3a1aHx4eu7vS8hfSJjajfV82/sUGi6aWQgu5njei1NOyWOdM7rUZl9zjhN\nQghxCm3atFFWtJEjR+LRRx9VYrOkpMSy/quvvsIFF1yAwYMH484770RmZqZa/uSTT+LNN9/EwoUL\n1eflvXDLLbdg2rRpuP/++1Xc5owZM3Dy5EncddddanhAGQrxyy+/rNEVfOzYMVx//fXKWjp16tTT\nrKy227/33ntqNBiJFX3iiSdQXFzs0LqioiI89dRTar1Mb7zxhhLggtFoVOf13XffqSEcBwwYgFtv\nvRV5eXnq/OTcxJL766+/VmmbI/ucN28e/vGPf+CMM87ADTfcgIwM88h348aNU/OLLrpIbff888/b\n7TPr869tnw8++CCee+6502Je5XpUVFQ43ObffvsNV111Ffr27YvDhw/X+7o2dTjWuaeSgRywaAqj\nuiYiwN8Paw9lIbuwDLHhQS5pKiGEOIOd3brXuo3jjmrH6L5rZ70+J0JgwYIFaN26NUJCQtSyF198\nEZ988gleffVVJCcn43//+x/Gjh2L9evXK9GZn5+vxs9+5513EBMToz6TmpqqxOlLL72EG2+8EUlJ\nSUqQiXv+rbfeQkpKihKdEnd5++23q8+IaNLFbXl5OUaNGqVEpux3x44deOCBB9QQijrW28+ZMwdP\nP/00Pv30UzWOtwjf1157TQnfmtaJweO8885DXFycsuaK6BJRJkJa3st6sS6KSJPPiOX2pptuwp9/\n/qmE9//93/9h7dq1SoQeOHBA7d/RfT700EMqrlWGS5TXErLwzTffqMSqjh074u2330bnzp0RGxtr\nt6+sz7+2fYrQE4H8+OOPIyDALHM+/PBD9OvXT713tM3yw0GuQ5cuXbBhw4Z6X9cmj9YEKSoqEvOi\nmruS4p07tR1du2lzR3TTRs0cdfoGGbs17ekoTXurT437uWb6aq3to3O0H9anuq6xRFFRUaHNmjVL\nzYn3w/7yLCUlJdqOHTvUXEf+57l7cpTi4mL1vz85OVnr2rWrFhcXp3Xs2FHbtGmTWl9eXq6FhoZq\nixcvrnKPtWzZUlu6dKl6/9xzz2kXX3xxlf2OGzdOmzp1quX9L7/8osXExGiFhYWWZW+//bbWoUMH\ny3uDwaBt3LhRvZb/OYmJiVppaall/RNPPKG1bdvW7vaff/65NmDAAK2srMyyXtpe27r58+erc7bu\nr3Xr1mmRkZGW7eT6/P7775b1L7zwgmqH0Wi0LJPzkHOsyz7nzZtnWf/bb7+pPtCR9Vu3btVqwvr8\na9unrE9KSrK0MScnRwsJCdHWrFlTpzb/8MMPlvUNua7uxGQyadnZ2Wruqu94XbUULZpucp3bTQaK\naWNOFcpJBYwVgMF+d5zXIwnL957E/O1puGxga9c3mBBCXGBdFE2Rm5urLHXWMezuRtyzYj2UDPLb\nbrsNmzZtUu5RsTyKO1Rc4QaDoUpc5r59+5SVsjrEeqkj24oVzDqWs3///jh06JByy1rvW5Dscvl8\nUNApj5W0x9bdriPu3HXr1ikLXe/evVUZpGuvvVZZ62pat3PnTuXilX3rSHvESituZ7HICW3btrWs\nj4yMVBZf6/6SZeJOFxzdZ7t2lR48AFFRUZbPN4Tq9innKuf82WefKZf8t99+iw4dOqhQiLq02bpP\nG3JdExMT0ZSh0HTTyEB2hWZgCBDVEsg7CuSmnorZtGFMjyQ8+ct2LNt7AsVlRoQGVf0nRQghpG4x\nmiIiZBIxcN999ylBIi5YQWLxxG1uTfPm5nj56vD3P5XyIPvR4wV10tLSlICxFZn69unpVesl2763\nRgSpuLEFcfE+88wzmDVrlooprGmdHKdly5bqvS26uKorrtinM5CYTRGFJ06cUO5uCWmoa5ut+9Td\n17UxwWQgl1JL1rkDQ1EKLaJD0bd1NErKTVi+94TTW0kIIU0VSbwRoSDJG2IVE8EpwqRVq1YqIURE\nqWSoWyd+1IbEdEoy0PTp09X7nJwcFUtYXXa7bC/JJmJ5E0Qcvfvuu9XuX+IQFy1apCzEko0tCUd7\n9uypdZ0k3kic6LJly9Q6OT+xukryjx7LWFecsc/4+Pg6lZhyhB49eigrssRQSnylWB8b0mZ3X9fG\nBIWmO6gu69yBoSjtjX1OCCHEOYiFUcSIZFVnZ2fj448/Vssl4UNcyGKpEhEhYshRxPopolGSR+S1\n7EMspC+//HK120vx9zvuuENtK67Zs846q9r9Dxw4UCUeibVM3NqSuCRCubZ1cg6SLCSJMbJejiWZ\n9yLK6osz9nn33XfjkksuUSKtuqzz+lo1JZlLEpms3df1abO7r2ujQmuCuC0ZaPduFag+f3g3bejX\nQ+1vtPQVc0LQH0/WuK+96XkqIajvs/O18opTQdnEuTC5xLdgf3mWmhIF3JGoUFfkuDt37qySpCNI\noossz8/PtyyTpI/Dhw9XSYIRTp48qR05cqTKstTUVC0zM9PuMY8ePXra8YRdu3addt3kfpZ9SzsL\nCgq0ffv21bi9JLnI9rZtrG2dkJeXpx0/fvy05XIdrJOSsrKytC1btlTps4MHD2q5ubn13qc8e/fs\n2VNlG9nf7t27tbS0NLvttT1/R/Yp28t21fVNXdrc0OvqLpgM1JQLtldr0ay9lqbQMSECHZqF48DJ\nQqw9mIVhnZo5ta2EENIU/ieLW9MWicWzXR4YGHhanKZgz7IpFq7qEOuWPcR6Z8+6Ki57ITw8XJX9\nqWl7SaqyLoHk6Do9oUcmW2yvg5Rwsk3csk7Cqc8+Q0NDVSkjayRsQabqsD1/R/YpBd7t9Xd92tzQ\n69qUoevck1nnDsZoqn34+WF8b7P7fO42Z1ehI4QQQghxPhSa7irYXq3QtCraXp3Vs5LxvVqo+e/b\n0mE01bwtIYQQQoinodB0R3mjmjRhWBwQHAWU5gHF2TXurmfLKCTHheJkQSnWH8pycmMJIYQQQpwL\nhaanLZqyTWxbh+I0xX0+odKqOW9bmhMbSgghhBDifCg03YBfdWOdnxanWbPQFMb31oXmcZjoPieE\neAHVJjsSQtDUv9sUmi7Fr/Y6mnWopSlI4faW0SFIzyvFxtSaXe2EEOJKJDNbkOH3CCGNj6LK77b+\nXa8PLFnvSqwqQlTrOhf0oSezDtW+S5V93gIfrziIuVvTMLAth7cihHgGKQskBar14RJlNJSaxjCX\nH9zl5eUoLS316FjnxHHYZ02zvzRNUyJTvtvyHbcejrOuUGi6Ab+ahqC0zTx3gAm9myuhOW/rcfz7\ngu78h00I8Rj6iCs1jc1t/fCSoRyl5iGFpm/APmva/RUXF1dlVKX6QKHpQvxsss7lBrDb8XWI0RT6\nJ8ciKSoYx3JLsPlILvolxziv0YQQUgfkf1pSUpIaL1wsKTVhNBrVeNHnnnuuKk5OvB/2WdPtr8DA\nwAZZMr1eaB44cAAzZ85ERkYG2rdvj2uvvRaxsbGW9VlZWfjkk0+QmpqqxoW9/vrrGxRD4BJsRKW4\nzw1+djo+ujUgy/OOAeUlQGBIjbv19/dTNTU/++uQsmpSaBJCPI08kGQkltoegjLJdhSavgH7zLcw\neuF3zCuTgf7++281GP3evXvRpk0bzJ49G3379kVmZqZan52djTPOOAN//PEHmjdvjrfffhsXXHCB\n12Y+6nKz2sxzQyAQI0OdaUDOYYf2Ob7XqVGCvPW8CSGEENK08Uqh+eWXX+Kss85SFsv7778fc+fO\nVUGp8+fPV+unTZuGkJAQtfzxxx/HwoULsXTpUsybNw/ebNF0LPPcsTjNM9rFoVlEMFKzirH9WF6D\nmkkIIYQQ4gq80nXeokULLF++3BLTKCJTMqhatmyp1kv8wYUXXoiAAHPzJVB1+PDhavmECRNO25/E\nDVVUVFjeS6CstYnZVRhNZgumX6VNs7yiHAbYN2X7xbRTqt+UuR+ag20a1yMRX61NxW9bjqF78wgn\ntrzpot8PrrwviPNgf/kW7C/fg33mWxjd+Axz9BheKTTvuece7N+/H0OGDFEu9HXr1uGpp57CyJEj\n1frjx48rMWqNiNBjx47Z3d8LL7yAZ5999rTlYhGtLaaoIQRmZkKl+VQaMufOm4sgvyC723ZKL0ZP\nAAc3LMa2DLOgro2YAhGwBvywZj+6lu6xNaCSBuB11nFSI+wv34L95Xuwz3yLeW54hokB0GeF5vr1\n6/H7778rq2WnTp1QWFiIr776CldffTVatWqlgs5tlbRYLKtLBnriiSfw6KOPVrFoxsfHK+unlABw\nFeVHjuDgK69aYjTPP/98hAWG2d94pwn4YSY6xPih3cSJDu2/wmjCNy8vwYnCMnQceDZ6tIxyXuOb\nKHJfyRd0/PjxXhNITaqH/eVbsL98D/aZb2F04zNM9w77pNB85JFHcMUVV+C1115T7++77z6cc845\neP311/HGG2+gbdu2OHSoaiyjvB8zZozd/YkAtSdCpRNc2RFGQ9XL6+fvV/3x4juat8lJcbhNsp3U\n1Pxy9WH8ti0dvZNPZeWThuHqe4M4F/aXb8H+8j3YZ76FwQ3PMEf375XJQOLO1jPMdYWek5OjEoAE\nsXT+9NNPapmwbds25V6X5d6IXkez5vHOrZKB6pBFfmEfs5t99uZjzD4nhBBCiFfhlRbNZ555Bhdd\ndJGK0+zYsaMSkZIQdOedd6r1t956K3788UcMHDgQgwYNwoIFC3DXXXepmE5vQo+Z9HMk6zwkCgiL\nB4oygYJ0INJcvqg2BrWLU8Xbj+YUY2NqDga0oVWTEEIIId6BVwpNcZOnpKSozHOxbE6ZMkUt093f\nQUFBqqSRTEeOHMGDDz6oBKfXoStNzYHxznWrpgjNrIMOC00p3j6xT0s1JKVYNSk0CSGEEOIteKXQ\nFGJiYmp0hUtC0NixY+HV2NbRrGm8c30oyqN/m93nbYc6fJiJfVooofnbFhn7vAcM/kw/J4QQQojn\n8coYzcaGZWQgRyyadRjzXEeGoGwdG4qM/FKsO5RVz1YSQgghhDgXCk03WDT1ZKBah4qMa1+n0YFO\nHcYPF/Y9lRRECCGEEOINUGi60XXusEVTYjTriJ59Pm9bGsqNtRyHEEIIIcQNUGi6Ab+6xGjWw6Ip\ndG8RiY4J4cgqLMNf+0+VhiKEEEII8RQUmi6ljlnnkS0AQzBQmAGUFtTbfT6H7nNCCCGEeAEUmq7E\nr44WTX9/ILZtva2aUuZI+H17GkorHBvsnhBCCCHEVVBoupFaLZq2IwTVkU6JEejeIgr5JRVYtudk\nPVpICCGEEOI8KDRdiLiz1RwOZp1XidOse0KQcGHfFmr+K93nhBBCCPEwFJpuyTr3c4tF0zr7fMGO\ndBSWVtRrH4QQQgghzoBC0w3odTRNcEBo6rU061HiSEiOC8PAtrEoLjfijx1p9doHIYQQQogzoNB0\nYx3N2nKBnGHRFC7p30rNZ21k8XZCCCGEeA4KTW8q2C7EVGad5xwGTPXLHJ/YuwUC/P2wfO8JnMgv\nrdc+CCGEEEIaCoWmt7nOg8KAiOaAqRzIO1qv48WGB2Fk10SYNA5JSQghhBDPQaHpSuqTde6EOE3h\nUt19vql+YpUQQgghpKFQaLoDR0cGcsJQlDqjuyciMjgAW47kYl9G3UYZIoQQQghxBhSabqijqeOQ\n67xKQlD9LZohgQaM791cvf6FVk1CCCGEeAAKTTfgp5s0HfScW1znDbBoWmef/7zxqONue0IIIYQQ\nJ0Gh6Y4YzTq7zts1OEZTOLN9PJpHheBIdjH+Tslu0L4IIYQQQuoKhaYrqbfr3DkWTX9/P1zcr6XF\nqkkIIYQQ4k4oNN2Iw+7r8GZAYDhQkgMUZzvFfT5ny3GUVTgodAkhhBBCnACFpje6zuVzTorT7N4i\nCt2aRyK3uBxLdmc0aF+EEEIIIXWBQtONrnPN4Wwg58Vp2iYFEUIIIYS4CwpNN6DLTYctmk4a81xH\n4jRF8y7cmYGcorIG748QQgghxBEoNN0hMfXqRnUpMeSEWpo6LaJDcVanZigzmvDr5mMN3h8hhBBC\niCNQaLrPc+541rmThqG05vKBrdX8h7+POGV/hBBCCCG1QaHpta5zPRkoxSltGNezOSJDzENS7k7L\nd8o+CSGEEEJqgkLTHSbN+rjOo5MBP38g7whQ0fC4ShmS8sK+5pqaP26gVZMQQgghrodC042+c6Nm\ndPyzAUFAVGtArKC5qU51n/+04SgqjKypSQghhBDXQqHpBnS5aTTVQWgKcc4rcST0T45Bh4RwnCwo\nxbK9J5yyT0IIIYSQ6qDQdKPrvE4xmk7OPDc3x49JQYQQQghxGxSa7hgZqPJthVZRt887acxzayb1\nbw1/P2DBjgxkF7KmJiGEEEJcB4WmG2M062/RdJ7QbB4dgrM6J6iamrO3sKYmIYQQQlwHhaYb0Mc6\nrzDV0aLp5FqaOqypSQghhBB3QKHpQmzqtdfDomnlOq9LaaRaOK9HEmtqEkIIIcTlUGh6s+s8NAYI\niQHKC4FC52WJS03Niypran6/3jmlkwghhBBCbKHQdAN+ldbIOicDWbvPnRinKVxxRrKa/7TxKMoq\nWFOTEEIIIc6HQtOdFk1TPQSdnhDk5DjNvq2j0a15JLIKy/DnjnSn7psQQgghRKDQdKPQrJdF0wUl\njvSamlcNMls1v1132Kn7JoQQQggRKDTdmHVe5xhNFxRtt+aS/q0QFOCPFftOIjWryOn7J4QQQkjT\nhkLTjQXb6zwEpQtjNIWYsCBM6NVcJbQzKYgQQgghzoZC042uc6Nm9JoYTZ2rBrdR8+/WH0GFkUlB\nhBBCCHEeFJpupF5CM6oV4B8IFKQBZc53bw9pH4f2zcKRlleCpXucV0KJEEIIIYRC04VIwo0FTauf\n0PQ3ADFmqyNyUuCKNk62JAWxpiYhhBBCnAeFphupV4ymC4ei1LlsQGsE+Pth0a4MZOSVuOQYhBBC\nCGl6UGi6Cb/6Zp1XyTx3fkKQkBAZjDHdk2A0afj+7yMuOQYhhBBCmh4Umq5Gd59r9ayjWaWWpmss\nmsLkwWb3+cx1qTCZnDeuOiGEEEKaLhSabixxVK+Rgdxg0RTO7pyAltEhOJxVhFUHMl12HEIIIYQ0\nHSg0XY1VQlC9koHcEKMpGPz9cGVlUtDXazhSECGEEEIaDoWmG0cHqrfQjGl7Kuu8vlZRB7hqUBsl\nOOdvT2NSECGEEEIaDIWmGy2a9U4GCo4AwhMBYxmQfwyuonl0CMZ0T0SFSVOxmoQQQgghDYFC041U\nmOqZDOTioSitueZMs/X0m7WHOVIQIYQQQhoEhaYbXef1tmi6YShKneEdm6FdfBiO5ZaoupqEEEII\nIfWFQtNNowPJ33rHaFYpceRai6a/v5/Fqvklk4IIIYQQ0gAoNH0h67xKiSPXWjSFywe2RnCAP5bt\nOYGUzEKXH48QQgghjRMKTXehNWAISjfGaAoxYUGY2Keles1SR4QQQgipLxSarsZprnP3xGjqXHNm\nGzX/bn0qSsob0G5CCCGENFkoNN3pOm+IRTMiCQgIBYqzgJJcuJp+yTHo2TIK2UXlmLv1uMuPRwgh\nhJDGB4Wmr2Sdi2B1w1CUpw7nh2v1pKDVKS4/HiGEEEIaHxSabrRoVmgNqKPp5jhN4aJ+LREZEoAN\nh3Ow/ZjrraiEEEIIaVxQaLqRBlk0PRCnGRYUgMsGtFavZ/xFqyYhhBBC6gaFpjvHOm9IjGaVWpru\nEZrC9cPM4nbWpqPIKixz23EJIYQQ4vtQaPpK1rngxhhNnfbNwjGqawJKK0xqWEpCCCGEEEeh0HTT\nyEBSR7PBrnM9RtNNrnOdqcPbW5KCyo0NPAdCCCGENBkoNH0pGShGalv6AblHAGM53MXZnZuhY0I4\njueWYP72NLcdlxBCCCG+DYWmmxC5aTI10BoYEAxEtQLEBZ+bCndaZadWxmp+ttJ9bntCCCGE+DYU\nmu6K0dScEKPpoThNYdKA1qrU0fqUbGw9wlJHhBBCCKkdCk1fcp0Lce4tcaQTHhyAyWckq9ef/uXe\nYxNCCCHEN6HQdCMVpgqftWgK1w1tp3TznM3HcSK/1O3HJ4QQQohvQaHpJsR17hyh6f5amjpt4sMw\nulsSyowmfL2GpY4IIYQQUjMUmu50nTtDaLp5GEpbbhxutqh+uSYFZRUsdUQIIYQQHxSa6enpuPnm\nm5GcnIyuXbti+vTpVdbPmjUL/fr1Q3x8PEaOHIlNmzbBmxG5WW4qd55FM+sQoGlwN0M7xqNLUoRy\nnc/bdtztxyeEEEKI7+CVQjM/Px8jRoxASUkJ/vjjDyxYsADr16/H0aNH1Xp5PXnyZNxzzz1KYA4e\nPBhjx45FdnY2Gr1FMzQWCI4GyvKBoiy4G3OpI7PY/XjFQWgeELuEEEII8Q28Umi+99578Pf3x+ef\nf47u3bsrq+YHH3yAVq1aqfXvv/8+xowZgxtvvFGte+mllxAYGIiZM2fCa0cGcpZFU/YX29ZjcZrC\npf1bITYsEFuO5GLtQfeLXUIIIYT4BgHwQsSCOXToUEyZMgULFy5UAvO+++7D1KlT1fqNGzfi0ksv\ntWwvovSMM85Qy+1RXl6OiopT1sTi4mI1NxqNanIlmk0ykDOO5x/bDn5pW2DKPACtRX+4myADcM2Q\nNvi/xfvx4bL9OKNtDBoLev+4+r4gzoH95Vuwv3wP9plvYXTjM8zRY9RLaIq79Msvv1QisGXLlnj0\n0Ufx888/W4RgQzlx4gQWL16sLJtvv/02VqxYgauvvlrFY1544YXIzc1FTExVcRMbG6uW2+OFF17A\ns88+e9ryuXPnIjg4GK6kQ1mZushi1ywzlmHOnDkN3mePTCM6A9i9+nfsOeTa9ldHUjkQ4GfAwl0n\n8PH3c5AUikbFvHnzPN0EUgfYX74F+8v3YJ/5FvPc8AwrLS11ndC85ZZb8Ndff6F///5Yu3YtoqOj\nldta3NijR49GQwkPD8egQYNw6623qveXXXYZLrroIvz4449KaEZERCAvL6/KZ0RkNmvWzO7+nnji\nCSWGrS2aIlonTJiA0FDXKqT9L78CY2GhMm1q0DB+wngY/A0N2qffhpPAb7+ha2IwukycCE+xzW8b\nvl13BPsD2uGmib3QGJBfaPIFHT9+PAyGhvUTcT3sL9+C/eV7sM98C6Mbn2G6d9jpQlMScn755Rfs\n379fiUyJjxQuv/xyfPbZZ04Rmn379sW2bduqLJMYTH2s8D59+pzmJpekoAceeMDu/uSzMtkineBy\nMVEZohnoL8evgOavNfyYcR3UzD8nRU4CnuKWszsqofnzpmN4aFw3JER6xrrqCtxybxCnwf7yLdhf\nvgf7zLcwuOEZ5uj+65wMdPjwYXTu3BlRUVFVlsfFxaFQLHdO4KabbsLq1asxe/ZsJS7Feiri9uKL\nL7asFxe0uL7Lysrw2muvITMzU2Wiex9mpSluZqfX0nTzMJS2dEyIwJjuSaqe5herPFPXkxBCCCHe\nS52FpojMnTt3nlZKSGIqe/bs6ZRGDRw4EF988QXuuusuBAUF4corr8SLL76oXOiC1M2cNm0abrjh\nBuX6/uijj/Drr78iKSkJXkdl1rnZoukkoRnVGvAPAPKPAeUl8CS3nWO2rs5YnYLiMibQEEIIIaQB\nrnOJg7zqqqtw1llnYdiwYTh+/LgShN988w127NgBZyHWSZkkWzwg4PRmSvymTJJRbs8t7m1CU7do\nOqXEkSEAiE42lzcS93lCV3iKM9rGol9yDDal5uCHv1Nx7dDKsdgJIYQQ0uTxr0+gqbiqReTt3btX\nlRYS66bEa7rComhPZFrj1SLTCqdaNIXYdh4ditK6TuitZ5utmtNXHITRxALuhBBCCKmnRVNKDT33\n3HOq1uW9995b1483PWwtmkYnWDT1OM0Diz0epymM69kcyXGhSMkswp870nB+rxaebhIhhBBCfNGi\n2aVLFxw5csQ1rWmE6CMDBfiZNX25Vt6oLJqCwd8PN59ltmp+uOyAp5tDCCGEEF8VmgkJCejXrx8e\ne+wxHDx4EDk5OZbJWVnnjZFASd5xpkUztr1Hh6G05YozWiM6NBAbDudwWEpCCCGE1E9oLlmyRBVn\nf/nll9GhQwc1Io8+6eWHyOl1NANQWd5Ia1wxmjphQQG4fpi5Te8t2efp5hBCCCHEF2M0R4wYgdTU\nVLvrQkJCnNGmRkal69wQCBidadG0EppSyN6/zr8ZnM4Nw9ph+vIDWLL7BLYdzUWvVtGebhIhhBBC\nPEid1YmMDd66dWu7U3VDQBIri6azss5DooCweKCiBChI94pLHBsehH8MbqNev790v6ebQwghhBBf\ns2iuX78e9913n911Mj75m2++6Yx2NR4sBdsDlEXTaa5zPU6zKNMcpxnlHZnet4zogBmrDmHu1uM4\ncKIAHRIiPN0kQgghhPiKRbNFixa45pprLNOUKVPQv39/Vaxd3OrEBtusc2e5zq2HovSSOE2heXQI\nLh/YGpoGfECrJiGEENKkqbNFs1WrVrj99ttPWy5u8/376S6tDoMzxzq3jdP0glqa1tx2dkfMXJeK\nnzYcxb1juqBVTKinm0QIIYQQD+C0DBKxaq5evdpZu2ucrnNnDUF5Wokj77FoCu2ahWNin5aoMGn4\niHU1CSGEkCaLU4RmQUGBGus8MTHRGbtrpAXbnTjW+WmZ595l0RTuGNlRzb9ddxgnC0o93RxCCCGE\n+ILQXLx4sSpjZD1FRkZi48aNeOSRR1zTysZQR7NyrHOnCk0vjNHU6d4iCmO6J6Kk3IRPV3qfECaE\nEEKIF8ZoSma5rYs8JiYGbdq0gb8X1HL0VoL9zEKzzFjmvJ1GNAcMwUDhCaA0HwiOhDfxz1GdsGBn\nBmb8lYLbzumIqBDzNSCEEEJI06DOyvDkyZPYvn27GoZSn9q1a4fDhw/jq6++ck0rfRo9RtMFQlOE\nvcV9ngJvY0CbWAztEI/80grM+Mv7rK6EEEII8TKhuW/fPnz66aenLd+7dy8+//xzZ7Wr8VAZoxlk\nCFLzUqOT4xW9OE5TuOvcTmo+fcVBFJQ6MeOeEEIIIY1HaJaXlytrZl5enuW1PqWnp2P58uVMBqqB\nIFdYNK3jNL2sxJHOsI7xGNQuFjlF5ficVk1CCCGkSeFwjObSpUsxduxYy/uEhITT6mj+/PPPzm1d\nIyxv5DqL5iGvzbq/b0wXTJm+Bh8tP4DrhrZFJGM1CSGEkCaBwxbNs88+G8ePH8ePP/6I8847T73W\nJ7FqnjhxAmeddZZrW+vLrnM/V7nO9cxz77Ro2lo1Z6zyvlhSQgghhHhYaAYFBaF58+aYNGkS5s+f\nr17rU3x8vIua13hwSTKQD1g0ra2aglg180ucWOKJEEIIIY2nvJHOli1bsGbNGmRkZECTga0BtG/f\nXo19TuxYNHWhaXK20GxrnuccBowVgKHeXeoWq+a6Q9kqVvOuczt7ukmEEEIIcTH1Knz51FNPYfTo\n0Zg+fTqmTZuGH374AS+++CLHOq9eZyLQEOga13lgKBDZApAx1POOwputmvdbrJoHadUkhBBCmgB1\nFppiwXzrrbewadMmvPDCC+jdu7caFeiiiy5S9TSJfQJdUbDdh+I0haEd4zG4XRxyi5mBTgghhDQF\n6iw0d+/ejT59+qBVq1YqbrO0tFRZq6666ir8+uuvrmmlT6MnA7ko69xH4jRPxWqaXea0ahJCCCGN\nnzoLTRGWMr650LJlS+UuN5lMyMrKUnNSTXmjyoLtLrFoenktTWto1SSEEEKaDg0anLxTp04q63z4\n8OF4+OGHccEFFzivZY0Ml9XRrOI6926Lpj2rprjRCSGEENI4qXOK8qhRo6rUy5RSRzLGeevWrXH5\n5Zc7u32Nro6ma2I0vXsYSntWzSHt47DmYBY+WnYAD43r6ukmEUIIIcQbLJorVqzAxIkTq4wQdN99\n91FkOjgykEtd5z5g0dStmo+c3029/mTlQZzId4GVlxBCCCG+JzS7dOmCI0eOuKY1jRG9vFFlHU2X\nuM7D4oGgCKAkFyjKgi8wsG0sxnRPRFGZEe8u3ufp5hBCCCHEG4SmWDD79euHxx57DAcPHkROTo5l\nKiwsdEUbGwVBfi4UmmI19aE4TZ0Hz+uqmv7VmhSkZhV5ujmEEEII8bTQXLJkCWbOnImXX34ZHTp0\nQGxsrGW6+OKLnd2+RkBljGZlwfYSY4lrDqOPEOQjcZpC9xZRuKhvS5QbNby1YK+nm0MIIYQQTycD\njRgxAqmpqXbX6WWPSNV4RCHYEKzmJRUuEpo+Fqep88DYLvhty3H8vPEIbj+nAzonRXq6SYQQQgjx\nlNAMDg5WGeY6UjvT379BVZKaBAF+AfD380e5qRwVpgoEVCYHOT3z3AdqaVrTNj4ckwcl46s1h/H6\nH3vwwbUDPd0kQgghhDiJeilESQaaPHkymjVrhnHjxiE3NxdTpkxBRUWFs9rVeKi0aMrfEEOI66ya\nPhijqXPP6M4ICfTH79vTsDk1x9PNIYQQQog7hebq1auxcuVK9dpoNKpYTInJfPrpp6FpGqKjo9X7\n6dOnO6tdjQfd2qtpCA0IVS+LK4qb7DCU9kiKCsH1w8ztf3X+bk83hxBCCCHuFJriKr/jjjuwdu1a\n7NmzB/n5+Xj//ffRvXt3yzbnnHMOfv/9d2e1q9FZNGEyISTAhRbNmDaAnz+QewSo8L26lHec0xGR\nwQFYse8kVu476enmEEIIIcSdQlNGAPrxxx9RXFysLJh6kotOeXk5IiOZyGGLX6VFU7OyaBZVuKCU\nj2S1R0vsrAbk2E/W8mZiwoJw2zkd1OsX5+6EyaR5ukmEEEIIcVeMZosWLVRJI7FiHjhwAKtWraoi\nMj/++GMMGzasoe1pvK5zk8kiNF1X4kiP0/SthCCdm87qgOZRIdh+LA+zNh31dHMIIYQQ4u5koNDQ\nULz11lsYO3Ys7r//fmzduhU9evRAWVkZbrnlloa2p1G7zi1C01Uljnw4TlMIDTLgwfO6qNevzd+N\nknKjp5tECCGEkAZQrxo71157LQYNGoQ5c+YgMzMTffr0wZVXXgmDwdCQtjR617keo+mSZCDrWpo+\nVuLImkkDWuOTlYew83ieGgf9nyM7ebpJhBBCCKkn9S6A2blzZ1xyySW4/PLLMWHCBIrMurjOadGs\nFoO/H56YYE4ye2/xfmQW+F5iEyGEEEIaIDRXrFiBbt26KbEplk2ppyludLHakepc55qljqbLLJo+\nHqOpc1bnZhjZNQEFpRWYtpBDUxJCCCFNRmgWFRXh0ksvxdVXX42srCwVm7l06VL88ssveO+991zT\nSl9Gd52bjK7NOreN0fRx0f/4+O7w94MaMWj/iQJPN4cQQggh7hCa27ZtQ1JSEp599llVpD0gIEBl\nm8v7RYsW1acNjRo/UUuCyYSwwDDXWjRDY4DQWKC8CCjIgC/TtXkkrjwjGRUmDS/P2+Xp5hBCCCHE\nHUJTyhyJFdOW0tJStY7YXuHKBCmThsggc53R/LJ8110mHx6K0pYHxnZBaKABf+xIx9qDWZ5uDiGE\nEELcITT79u2rRgrauXMnjh07hp9++gn//e9/cd111yEnJ0dNhYWFdd1148SSdW5CRGCEel1Q5kJX\nsMV97ttxmkJiVIiliPvzv+1gEXdCCCGksZc3WrJkCX744Qf1+oMPPqiybsiQIZbXo0ePxoIFC9DU\nsXadhweGq5f55S60aMY1HoumcOvZHfDN2sPYciQXP2w4otzphBBCCGmkQnPEiBFITa19iMOQEHOG\ndZNHxh+3cZ27xaLpw7U0rQkLClCJQffN3IRXft+N8b2aIzIk0NPNIoQQQogrhGZwcLAa+5zUsY6m\nteu83JVCs3FZNIWL+7XEF6tT8HdKNv5v0T78q7LOJiGEEEIa4chAQkpKCg4ePIiKigrLsvj4ePTv\n399ZbWtUrnPNZDpl0XSp0Gw8MZo6fn5+eObCnrjo3RX4dOVBXDUoGR0SzKKdEEIIIY1MaMqY5h9/\n/LESltbDTp599tn47rvvnNm+RuU6jwhyQzJQVEvAEAQUpANlRUCQuaSSr9O7dTSuHJiMmetT8dyc\nHfj0hsGebhIhhBBCnC00d+zYgR9//BH79+9H+/aVblpSN9e5K4WmlFOKaQNk7jO7z5N6NJreefj8\nrpi79TgW7z6BxbsyMKpboqebRAghhBBnljfKz89Xw09SZNbdda5nnYvr3KSZ4DIayVCUtjSLCMa9\nYzqr12LVLKtw4TUkhBBCiPuFpsRgZmZmqvhMUjfXeYB/gBqGUoOGIhm9x1VYD0XZyLhuaDt0SAjH\ngZOF+Owv3oOEEEJIo3KdBwUF4bnnnlOCU2Iyw8JOxQD27t0bTzzxhLPb6NvodTQrLZiRgZFqCEqx\nauoxmy6rpdlIShxZExTgj6cm9sDUT9dh2sJ9uKR/KyRGspQWIYQQ0mhc5//85z8xaNAg9OzZE506\ndbJMrVq1ck0rG0OMpsksNN2SENSILZrCyK6JGNM9EQWlFXjht52ebg4hhBBCnGXR3LJlCxITE/Hn\nn3/W9aNNEr9K17lm0tTcvbU0G59FU+fpC3tixb6T+GXTMTVa0PBOzTzdJEIIIYQ01KKZnJxcpaQR\nqQXLEJTGKhbN/DIXDkMZ29Y8zzlsOW5jIzkuDHefa04MenLWNpRWNM7zJIQQQpqU0GzZsiXatGmD\nl156CceOHUNOTo5lKiwsdE0rG4Hr3K0WzaBwICIJMJYBecfQWLl5RHtLYtBHyw54ujmEEEIIaajQ\nXLJkCebOnYvHH39cxWTGxsZaposvvriuu2v0+EldS+tkoMrRgVxq0WwCcZpCcIABz1/cS72WoSkP\nZ7owk58QQgghro/RHDFiBFJTU+2uCwlh9m/1rnOT+yyaepxm6hpznGb7EWisDOvUDJf0a4lZm47h\n6V+34ZOpg9SQlYQQQgjxQaEZHByM1q1bW96bTCb465nVpMY6mm7LOm8iFk2df13QHQt3ZagRg+Zv\nT8f5vZp7ukmEEEIIqY/rXDhy5AgmT56MZs2aYdy4ccjNzcWUKVNQUVHBi2qDnx6jWek6jw2OVfPs\n0mzXXqtGXEvTFqmj+fC4rur1s7O3o7CU9yEhhBDik0LTaDSqWEyJyXz66aehaRqio6PV++nTp7um\nlY3IdR4bYhaaWcVZrj2upcRR47doClOGtEXvVtE4nluCN//c4+nmEEIIIaQ+QnPPnj2qaPv777+P\n7t27W5afc845+P3333lRa3Gdx4XEuceiaXGdN36LpmDw98MLl/ZSuv6TlQex5UiOp5tECCGENHnq\nLDSLi4uVBdM24aK8vByRkeaMalK96zwu1Cw0s0pcbNGMSAQCw4DibKC4aYiuPq1jcOPw9krTP/LD\nFpQbzdecEEIIIT4iNMWKeeDAAaxataqKyPz4448xbNgwZ7ev0bnO44Lj3OM6lx8CTSghSOeB87og\nOS4Uu9Ly8SFraxJCCCG+ITSlfuaFF16I0NBQvPXWWxg7dizuv/9+bN26FT169EBZWRluueUW17a2\nEbjOo4KjYPAzIL88H+XGctceu4nFaQphQQH476V91Ou3F+7F/hMuzu4nhBBCSMOFpmSUi9tcuPba\na7F+/Xpcf/31uPHGG/Gf//xHCdGAgDpXS2o6Fs1K17m/n/+phCBXu8+bWJymzlmdm+GKga1RVmHC\nYz9ugalS5BNCCCHEvdRbGXbr1k1NxMEYzUrXuZ4QdLL4pBKaSeFJri9x1IQsmjpPXNBd1dVcdygb\nX689jGvOrBz/nRBCCCHeKTR3796Nu+66q9r1IjxrWl8fTpw4gZUrV6JXr17o1KlTlXXbtm1ToxT1\n7NlTjb/uC65zQbdoZpe4KfO8CdTStCUmLAjPXtQTd369AS/N24XR3RPRIjrU080ihBBCmhR1SgYq\nKSnBoUOHqp3S0tKc3sAbbrgBV1xxBWbNmlWllqcUjB85ciReeuklFSP64osvwhdc59YljjJLMt0U\no9n0hKYwoXdzjO2RhILSCjw5a5uq+UoIIYQQL7Vo9u3bF3PmzIG7kALwEvfZtat51BedGTNmYNGi\nRdiyZQtatmypLJ5nn322Slbq3bs3vNJ1blVqJz4k3j0WzZhkaQGQewSQxCNDIJoSUoLruYt7YfX+\nTCzYmYGfNx7FpAGnhk8lhBBCiGvx2kHKU1JS8Nxzz6nC8Lb89NNPmDRpkhKZwvDhw9GvXz/8/PPP\n8F7X+Smh6bZkoIBgILq12ZqacxhNkebRIXhyYg/1+ulftyMtt8TTTSKEEEKaDF6ZJi4uTj2bvUWL\nFqet37dvn7JgWtOxY0fs37/f7v6kzqf1OOx69ry44GVyJVplYXuT1bFig8xC80TRCZcf3z+mLfxy\nU2HMPADEVMZsNjEm9W+BeduOq+SgR37YjE+uH3jagAM6en+4ul+Ic2B/+RbsL9+DfeZbGN34DHP0\nGA4LTYmHHDp0KNzBO++8g6CgIFU+yR4iGoODg6ssk/ciKO3xwgsv4Nlnnz1t+dy5c0/bj7OJ3bsX\nCQAO7N+HtZVhB4fKzVng2w9vx5ws14Yi9CswQPKtty2bjUM7i9BUGRUBrDEYsGzvSfz7k7kYmlRz\nvOa8efPc1jbScNhfvgX7y/dgn/kW89zwDCstLXWu0JRYSXfUyczLy8Pjjz+O//73v5YEIBlbffv2\n7Vi8eDFGjRqFxMREpKenV/mcvJekIHs88cQTePTRR6tYNOPj4zFhwgRVgN6VnDyehqzff0eHdu1x\n5sSJatm+nH2YMWcGKkIrMLFymavwW7EHWLwUvZMj0WuMa4/l7UR2PIb7v9uC2UeCcMek4WgdG2b3\nF5p8QcePHw+DweCRdhLHYX/5Fuwv34N95lsY3fgM073DteF1rnOTyYQxY8Zg4cKFlmXZ2dlYt24d\nYmJilNAcMWKEupBiqdSFqCQE3XbbbXb3GRgYqCZbpBNc3RH+Aeb9+0GzHKtVZCs1Ty9Kh7+/f7Vu\nXKcQ38HcDqml2cSF0yX9W+OPHRmYty0Nj/20HV/dPAT+elUAD9wbxHmwv3wL9pfvwT7zLQxueIY5\nun+vE5oiJq1LGQlSQ3Pq1Kl46KGH1Pt7770Xn3zyCaZMmaKGwpRx1qWW5iWXXAJvw68yGUizqqMZ\nERSByMBINQxlbmkuYkJi3DA6UAqaOiLon7+kF9YezMKqA5n4YnUKrh/WNONWCSGEkCaddW7N6NGj\n0blzZ8t7SRBau3Ytmjdvriyb5513HhYsWOCdFij/07POBX1EoOOFx91XS5N1JBEfEYwXLu2lLsl/\n5+3EwZOFrr3+hBBCSBPG6yya9nj77bdPW9auXTu8/vrr8HrsFGwXmoc3V7GaaYVp6B7f3XXHD4sD\nQqKBklygKBMIb4amzvm9WuDifi3xy6ZjuG/mJvxw+1AEGnziNxchhBDiU/Dp6mrsuM51oekWi2YT\nH4qyOv5zUS+0jA7B5tQcTFu419PNIYQQQholFJpuGhnI1nXeItxcHzStyPnDdlbvPjeXVSJAdFgg\n3pjcD5KH9e7ifSpukxBCCCHOhULTg65zIa3AHUJTTwiiRdOaMzvE445zOkKMzffP3ITcYvt1WAkh\nhBBSPyg03TYEZVXXeesI85jbqfmpLm8C4mjRrI77x3ZBn9bROJpTjKd+2eb6viCEEEKaEBSaLsav\n0qKp2Vg020bJeD1ASl6KGnLTpTBGs1okCejtq/ojNNCgkoNkIoQQQohzoNB0NdXEaMaFxFlqaWaX\nZru2DYzRrJH2zcLxzEXmUaWe+nUHMktc2x2EEEJIU4FC012uc6PptOLhbaLaWKyaLiWqlQxRBOQf\nA8odGzKqqXHlGck4v2dzFJRWYMZeA8pt+osQQgghdYdC00Ouc2v3+aFcF2eDGwKAGLOo5QhB9hHh\n/99JvdE8KhiHCvzw5gKWPCKEEEIaCoWmq9FHK7JJBhLaRbVzj0WzSuY5SxxVe4nCg/D25H7wh4b/\nLTuIxbsyXN8vhBBCSCOGQtNtWefVWzTdIzSthqIk1XJGu1hMaGPuqwe+24TjuQw1IIQQQuoLhaYH\nXefto83ib3/uflc3gxbNOjC6pYYRnZshu6gc93yzERWM1ySEEELqBYWm27LOT3edd4jpAIOfQVk0\nSypK3FNLk8NQ1or8Nnj9ij5IigrGukPZeOPPPa7tG0IIIaSRQqHpQdd5sCFYWTVNmgn7cva5th2M\n0awT8eFBmHZVfyU631uyH0t2M16TEEIIqSsUmq6mBte50CW2i5rvztrtPqFpR/SS0xnSIR4PjDX3\nzwPfbWa8JiGEEFJHKDRdjF8NrvMqQjPbxUIzOBIIawYYSwF3jK/eSPjnyE4qXjOrsAx3fLkBpRVG\nTzeJEEII8RkoND3oOhe6xnV1j0VTYJxmnfH398Nbk/uhVUwoNqXm4NnZO1zRM4QQQkijhELTTa5z\nVOM67xbXTc13Zu1EhanCtW1hnGa9iI8IxvvXDEBQgD++XnMY361PdXbPEEIIIY0SCk03uc61alzn\nzUKboVVEKxRXFGN/jovLHLGWZr3p0zoGz1/cS73+96xt2Hok13n9QgghhDRSKDQ97DoX+ib0VfPN\nJza7x3XO0YHqxZWDkvGPwW1QVmHC7V/+reI2CSGEEFI9FJoedp27VWjqrnPW0qw3z1zUA32TY3A0\np1gVczdWY6kmhBBCCIWmy/HzN491rtWQrdw30V1CkxbNhhIcYMAH1wxQdTZX7DuJV+e7IYmLEEII\n8VFo0XQ1AWahCWP1QlNKHIUFhKkRgtIL013XlogkICAEKDoJlOa77jiNnBbRoXjn6gEw+Pvhg6X7\nMWvjUU83iRBCCPFKKDRdjJ+h0qJZg9AM9A/EwKSB6vXatLWua4wkJjHz3CkM7RiPpy/soV4/8uMW\nbDyc7ZwdE0IIIY0ICk0X4xcQoOZaRc2li4a0GKLmq4+vdm2DGKfpNK49sy2mDDEnB936xd8cOYgQ\nQgixgULT1VQKzZpc58KZLc60CE1Nc2GCCeM0nYafnx+euagnzuwQhxP5pbh1xt8oLuPIQYQQQogO\nhaYXuM6FzrGdER8Sj4yiDNcOR2lxnR903TGaEIEGf7w/ZSDaxIVh69FcPPzDZtf+UCCEEEJ8CApN\nV1MpNGGs2XXu7+ePkckj1euFhxe6rj0chtLpxIYHYfr1ZyAiOABzthzH/y3a5/yDEEIIIT4Ihabb\nYjRrd6mObjNazRcdXuS6BjEZyCV0SYrEtH/0g58f8Mafe/Dr5mOuORAhhBDiQ1BoeonrXE8ICg8M\nx57sPUjNd9F42jFtzfPc1FqtrKRunNstCU9M6K5eP/TdZqw7lMVLSAghpElDoeklrnMhyBCEEa1G\nuNaqGRgCRLYETBVA3hHXHKMJc9NZ7XH90LYoM5pwy4z12H+iwNNNIoQQQjwGhaYXuc6FMW3HqPnc\ng3Nd1yjGabo0E/2pC3tiTPdE5BSV44ZP1+FkQanrDkgIIYR4MRSarkZ3nddSR1NHEoIigyKxI3MH\ndme5KPuccZouRUYMmvaP/ujdKhqHs4pw8+frUVLOskeEEEKaHhSaborRrK2Opk6wIRgT2k9Qr2ft\nm+XiWposceQqwoIC8PHUM9AqJhSbUnNw37ebYDSx7BEhhJCmBYWml4wMZM2lnS9V8zkH5qDMWOb8\nRtGi6RYSI0Pw2Q2DEBkSgN+3p+G5OTtYY5MQQkiTgkLTS0YGsqZHXA90ie2CnNIczD803/ltYoym\n2+icFIn/XTsQQQZ/fPbXIbzDGpuEEEKaEBSaXlTeyPIZPz9c3e1q9frz7Z873wpmbdHkKDYuZ1jH\nZnj7KnONzdf/3IMvV6e4/qCEEEKIF0Ch6WqsYjTrIhgndpyohqSU4Shl/HOnEhYPBEUCpXlAcbZz\n903sMr53C7xwSW/1+slftmHu1uO8UoQQQho9FJouRqyTmn/lZa6DVVOSgq7ubrZqfrLtE2c3Cojj\nmOfu5uohbfDQeV2UEVmSg1buO+n2NhBCCCHuhELTDehCsy7uc2Fy18lqpCCxaK5PW+8a93kWM8/d\nyZ2jOuGG4e1UQfdbZ6zHliM5bj0+IYQQ4k4oNN1ylSsvcx0yz4Xo4Ghc3/N69frtDW87N1bTUuLo\nkPP2SRyycD95QQ9c0q8lCsuMmPrpOuzL4OhBhBBCGicUml5s0RSu63Ed4kLisOnEJixOXeyChCBa\nNN2Nv78fXr2iL0Z2TUBWYRmmTF+NlMxCt7eDEEIIcTUUmu5AF5p1tGgK4jq/tc+t6vUr615BSUWJ\nc0scZTMD2hMEGvzx/pSBGNI+Dul5pbj6ozU4kl3kkbYQQgghroJC050WzXoITT1WU+pqHi04iulb\npzunUYzR9DihQQZ8PHUQBrSJwdGcYiU203Kd9EOCEEII8QIoNN1AfbLOrQnwD8C/z/y3JQN9T/ae\nhjcqOlmKfAJ5R4GK0obvj9SLiOAAfHbjYPRpbR4X/eqPViMjn2KTEEJI44BC0x3Uo2i7Lf0T++Py\nLpej3FSOx5Y/hlJjA8WhIRCIbi2tAnION2xfpEFEhQRixo2D0a15JA6cLMQ109eo2E1CCCHE16HQ\ndKdFs56uc52Hz3gYbSLbYG/2XkzbMK3hDeNQlF5DTFgQvrp5CDonRmBPeoESmzlFFJuEEEJ8GwpN\nL886tyYsMAwvjXgJBj8DZuyYgaWpS503FCXxOPERwUpstm8Wjh3H81TMJi2bhBBCfBkKTXdg0JOB\nGiY0hd4JvXFX/7vU60eXP4oDOQecUEuTJY68hcSoEHx9i7XYXI2TBYyhJYQQ4ptQaLo1GahhrnOd\nm3rdhPPanofC8kLcvehu5Jbm1m9HtGh6JS2iQ/HtrWeiY0I4dqXl46oPVyMjjwlChBBCfA8KTbdc\n5YYnA9mOLvPc8OfQPa47Ducfxp0L70RReT1qMDJG02tJigrBt7cORZekCDVykIhNlj4ihBDia1Bo\n+kAdzeriNaedOw0tw1ti84nNuHfxvSgzltXfounM4S2JU0iIDMY3t5yJ7i2iVDb65A9XqXqbhBBC\niK9AoelDWee2NA9vjg/P+xDxIfFYfXy1EpvFFXUQIiHRQGgcIJ8pSHdq24jzEoS+uWUIereKRkpm\nESb/bxUOZ3IEIUIIIb4BhaZbrrJzss7t0TaqLf439n+IDY7FiqMrcNuftyGvLM/xHTBO0ydKH315\n8xD0TY7BkexiXPbBX9iVVoc+JoQQQjwEhaY7XeflzrVo6nSN64rPxn+mLJwbMzbiht9vQHqhgxZK\nxmn6BNGhgfjypsEY2iEeJ/JLceUHq/B3Spanm0UIIYTUCIWmG9ACKpOBKspddowO0R0w4/wZaBfV\nTg1ROXnOZCU6a4UWTZ8hMiQQn94wCOf1SEJeSQWmTF+DJbszPN0sQgghpFooNN2AZggwz8tcJzSF\nFhEtMGP8DAxuPhiZJZm4cf6N+G73d9BqSvRhLU2fIiTQgPemDMAVA1ujpNyEW2asx+zNxzzdLEII\nIcQuFJpuQAvQhabrhxSMDYnFB2M/wDXdr0GFqQLPrX4ODy59sPpam7rrnKMD+QwBBn+8cnkf3DKi\nPcqNGu75diO+XJ3i6WYRQgghp0Gh6U7XuRuEphDoH4hHBz+KF896EeGB4fgz5U9M+nUS/jr6V/Wu\n8yyODuRLSC3Vf03ojofHdVWVqf49axve+GN3zdZrQgghxM1QaLrTdV7uHqGpc2HHC/H9hd+jb0Jf\nZBRl4LYFt+Gx5Y8hszjz1EaRLQFDEFCYAZQVurV9pOFi885RnfDipb3h7wdMW7QPD36/GWUVJl5a\nQgghXgGFZiNznduSHJmMz87/DPcOuBfBhmD8duA3XDTrIny/53sYTUZz6aWYtuaN6T73Sa4e0gYf\nXXcGQgMN+GnDUdzw2Vrklbg2HpgQQghxBApNN6AZ3Os6tyXAPwA3974ZP1/0M4a1HKbqbP5n1X9w\n+ezLsezIMmjMPPd5RndPwszbzkSziGCs3JeJK95fhWMcRYgQQoiHodB0o0XT5CGhqZMclYwPxnyA\nV89+Fa0iWmFfzj41TvrN/iewOTiIcZo+Tp/WMfj5n8PQMSEcu9Pzcel7K7H9WDVJYIQQQogboNB0\nZzJQeblXxPWd3/58/HrJr3j4jIcRFRSFteVZuKZlc9x86HusOb6GCSU+THJcGH66YzgGt49Dep65\nsPvCnRxelBBCiGeg0GzkMZrVEWQIwnU9r8PcSXNxS8tRiDCZsKY8Czf/cTOumXsN5h+aj3KT54Ux\nqTvRYYH44qbBuKhvSxSWGXHzjPX439L9/AFBCCHE7VBoNqKC7fUhOjga9/S9A/NTj+LuEn/EBMdg\ny8kteGjpQzj/h/PxweYPcLL4pKebSepIcIABb1/VDw+M7aLKH/133i489P0WlFYYeS0JIYS4DQrN\nJmrRrEJMW0SZNNyafhTzL52Hfw35F9pHt0dGcQbe3fQuxv4wFg8ueVAlDkkReOIbSJjEPaM74/0p\nA1RG+o8bjuDqj9aosdIJIYQQd0Ch2QgLtteZoDAgojlgKkdYcRb+0e0f+OXiX/DReR9hdJvRMGkm\n/JHyh0ocGv39aLyy7hXsytpFV6yPML53C3x/+1C0jA7B3ynZuOTdldhxLM/TzSKEENIEoNB0A15v\n0RRsShyJNezMFmfirVFvYf5l81UdznZR7ZBVkoUvdnyBK2ZfgYt/uRjTNkzDjswdFJ1eTq9W0Zh1\n13D0bxODoznFuOz9v/Arx0gnhBDiYig0m0AdTYfQxzy3MxRl8/Dmqg6nZKp/PeFrXNX1KhXbeTD3\nID7a+hEmz5mM8T+Nx6vrXsWG9A10r3spiZEh+OaWMzFpQCsUlxtxzzcb8Z/ZO1Bu5EhChBBCXIPZ\n1EZcii9aNO0hVs7eCb3V9MjgR7A+bT0WpCzAwsMLcbTgKGbsmKGmyMBInNnyTIxoNUIViE8KT3Lf\neZAaCQk04PUr+qJfcowSmZ+sPIhtR3PxzpT+SogSQgghTUJozps3D3PnzkVZWRmGDh2KKVOmIDAw\n0LI+NTUV7777rpr37t0bd911FyIiIuDdY517X9a5hdhKi2b26RZNewT6B2Joy6FqkuQhyVT/M+VP\nlTCUkpeiXsskdI7tjGEthmFQ80Hon9Rf1e4knkN+MFw3tB16tozCP7/agLWHsjBx2gq8O2UABrWL\nY9cQQghp3ELz5ptvRnp6OsaNG6ceis899xx++ukn/Prrr2p9WloaBg8ejLPPPhtjxozBp59+il9+\n+QUrVqyAodJN7U14fTKQ0IBhKA3+BvRP7K+mRwY9gtS8VKw8thIrj67EmrQ12Ju9V02f7/gcfvBD\nt7huGJg0EGc0PwNnJJ2h3PDE/QxsG4c5d4/AXV9vwJqDWfjHh6vxxAXdMXVYO/W9I4QQQhql0PzP\nf/6Dli1bWt4PGDAAw4YNw9GjR9GqVStMmzYNzZs3x7fffqseiFdeeSVatGihxOakSZPgtUNQlvtm\njGZ9hrq8KuoqXNXtKpQZy7AhYwPWHl+L9enrsfXkVuzM2qmmL3d+qbaXUkq9m/VGn2Z9lFteLKBi\nMSWuJyEyGF/dPASvzN+ND5cdwLOzd2B9Sjb+O6k3okLYB4QQQhqh0LQWmUJeXh78/f0RGRmp3i9b\ntgzjx4+3WF2io6MxfPhwLF++3K7QLC8vR0XFqfqPxcXFam40GtXkSmT/lhjN0jKXH6/ehMTBPzAc\nfiU5MBZkAqExTtmtAQYMShykJqG4oliJTRGdf6f/rV5LUpFMv+43W6xDDCHK6inis1d8L3SN7Yrk\nyGRlOXU1ev94bT+5APkWPTquC/q0isKjP27Fb1uOY0tqDt6e3Bd9k51zH7iKpthfvgz7y/dgn/kW\nRjf+T3T0GH6aJuOGeC/5+fk466yzMGLECLzzzjtqWefOnVVM5r333mvZ7tprr1Un/fXXX5+2j2ee\neQbPPvvsactnzpyJ4OBgF58BEJSegXZvvIGyhAQceuhBeCsjdz6B6JJULOn6LHLDKi2cLqZCq0Ca\nMQ2pxlQcqTiCI8YjyDRlnrZdIALR3NAcLQwtLPMkQxKC/ILc0s6mQkYx8PleA44U+sHfT8OFbUwY\n2UKDPz3phBBCrCgtLcXkyZNRVFSE0NBQ+JRF01pkTpgwAe3atcMbb7xhWR4QEKCShGxPOCTEftbs\nE088gUcffbSKRTM+Pl7tu6aL4wxE/P5ZKX7DDAZMnDgR3op/0UxgdypG9EoGeniunTmlOdh2cpvF\nzb4new/SisxiVCYdifdsE9lGudrbR7VHh+gOyg0v9T5DAkLq3V+SiCYWc2+M93UHUypMypX+2V8p\n+CXFgJzgZnj18j6ID/c+Uc/+8i3YX74H+8y3MLrxGaZ7h2vDa4VmVlYWzj//fLRv3x5ffvlllYzz\njh07Yv/+/VW2l/cXXXSR3X3JZ60/ryOd4A4xoVUeWysp8W7xUhmnachJkYvjsWbEh8XjnDbnqEkn\npyQHu7N3qxGJdmftVq8P5BxASn6KmqwRAdoqohU6xnRU4rNDTAc1bxvV1uHEI3fdG96I/CB65qJe\nGN4pAQ//sBlL95zExP9bibeu6odhHZvBG2nK/eWLsL98D/aZb2Fww/9ER/fvlUJTMs7Hjh2LgQMH\nYvr06aedzKWXXorHH39cucQlKWj16tXYuHEjPvnkE3gjpiCzJchUUgKvpgGZ564mJiQGQ1oMUZOO\nJBrtz9mPfTn7VIynvD6QewCp+ak4UnBETUuPLK2yHymtJFZQSViSuE953SaqjXodHxLvgTPzXsb2\nSMLce0bg3m83Yt2hbEyZvga3nt0BD4ztguDKSgqEEEKIzwnN6667Drt371axmOL/13n++efRrVs3\nTJ06VdXY7Nu3r6qhuWbNGiU65b03YkkGKimBZjLBz9+/UdTS9DRBhiB0j++uJmvKjeWqlqeIzv25\n+3Ew56B6fTj/MPLK8rAtc5uabAkLCEPryNYIKAzA7r93o1VkK7QIb4GWES3VXERqUyv70zImVI0m\nNG3RPryzaC/+t/QAlu4+gTcn90P3FqyHSgghxAeF5mOPPYZbbrnltOUJCQlqLhbOH3/8UVkxjxw5\ngp49e6JDhw7wWvz94RcSYhaaJSXwCwuDd5c48j6LZl0INASiU2wnNVkjeW+ZJZnK4nk477ASnvJa\n6n6K+z2/LF/Fgwo7du44bb/hgeFKcFqLT30uw3Q2C22GAH+v/Eo1iACDv7JintMlAQ98twm70vJx\n8Tsr8eB5XXDziA4wMFOIEEJINXjlU3HUqFEObde/f381+QK60BT3ub+3Cs3oZMDPH8g7AlSUAQHe\nl/zREMQaKWJQJikub0tuaa6yfv667Fe06NJCJSAdKzyG4wXH1bywvFC56WWyh7+fv3K/J4QlIDEs\nEUlhSUgIPfVa5rLOVy2jA9vGKlf6C3N34us1h/HfebuwcFeGGtIyOc5L72lCCCEexSuFZmPEPyQE\nJrGqOZil5RFEWEa1BnIPA7mpQHxHNCUkUUhqd6YEpWBir4lVYoPFGipCVBeexwuPVxGh6YXpyCrJ\nwoniE2rakXm6RVRH6oTqolOEaHxovBKo9uYSHuBNhAcH4MVLe2NM90Q88sNWrD2YhfFvL8eTE7vj\nyjOSfVJAE0IIcR0Umm7CP8xcRsnkzUJTiG1rFpoSp9nEhGZNiICShCSZesT3sLtNuakcmcWZSC9K\nR0ZRRrVTUUWRctvLVBuRgZFKcMaFxFkEaFxonEWIyvKY4BjEBsciMijSLUXthXO7JWH+fTH4189b\nMX97uir0PmfLcSVCad0khBCiQ6HpJvxCdKHp5ZnnEqd5aLlThqJsasiwmRKrKVNNFJQVIKPYLDpP\nFp9U4lRiR/V5VnGWei0W0vzyfDUdyqs9blbKOolVVgnPkFj1WgSoiGM1D46xrNNfRwVHKZd/fYiP\nCMYH1wzEL5uO4dnZ27F870mMe2sZHhnXFdcNbQd/xm4SQkiTh0LTja5zQSvxdoum95Y4aixEBEWo\nSWp71oRJMyGvNK+KCLWdS31RKXCfXZqtkpnktUyOCFNBRGZ0ULQSpRI7Ghkcqeb6pC9X64IilTDV\n30tylFh6L+nfCmd1boanf92uhq98ZvYOZd18+fI+6JgQ4aSrRgghxBeh0HRjMpBv1NLUSxxRaHoa\nEYG6u16Kz9eGuO4ljlSm7JJsi+hUQtT6fYlZmMprEafyWqa6YvAzmMWnLkwTojBiWBC2ppZhS1EQ\nJs6YhVFd2uD87u0QHRxpFtiBEZa5CNXGmKVPCCHkFPwv7yb8QiuFZhEtmsR1rns9q95RdHEqllOp\nMSqTel/52nq5/lrEqcyLK4ot4rUKEUBwpSFzeRawfGX1xw8NCLWIThGt1nNrUVrldeVc6p6G+IfA\nqBnre8kIIYS4GApNN+FfOaa6qbgIXo2lluZBSbWWLBhPt4h4mTi1LoxvEaF2ROmujBNYvj8VBWWF\n8DOUoFmUhrgIE4qNhSgoL1DlokSsyiSZ+g3hha9fQFhgmBKfal75WgRrTcvktYhd9TogvMo+6hu7\nSggh5BQUmm7CP9xs4jEVFMKrCY0FQqKBklyg8CQQYS6ST4i9wvgqEz60+qE7S0Ya8d6S/fhgyX6k\nppqQFxqIx8Z3w2RVCglKZIqFVESnJD0VllXO5X1Z1bmIU0mkUvPyAhSVF6kMfvlMmakMZaVlp1tX\nG/JVCAhVky5GZQoJCDG/NoQiNDBUlaqqstxmO7U+sHJ7q+XBhmCWgiKENAkoNN2Ef4QuNAvg9Uic\n5vFN5hJHFJqkAYQEGtSoQpf0a4knf9mGlfsy8fhPW/H9+lQ8f0lv9GgZpayH9cVoNGL27Nk4b8J5\nKDGVWMSnmutCtLzQsky3olqWW29vs0y3tkr2v7ORCgHW4tRWsNoKVxGmskzm+mupsSqfs16n3gdU\nblO5TuJgWd+UEOIpKDTdhCGyUmgW+oLQbFcpNA8ByYM93RrSCOiQEIEvbxqC2VuO47k5O7DhcA4m\n/t9yXD2kDR4Y2xVx4fUvTC8iSgRVWFCYqivqDCTjv6SixCI+RXDq72Wuv1dzo1ngyrzK8sq59aS2\nKS9WFlh9mauREABrEaoLUP21RbDaWVeTqJVJlgf5B6nXYuG2LDMEIcCPApcQQqHpdte5MT/f++87\n6zhNQpyECMKL+rbEyK4JeOOPPfhidQq+XH0Yv246hvvGdMG1Q9si0OAdcZEizvS4zvrEr9aG0WS0\nCFO74tRYrASptXgtNZaqyd5r2a60wrzMdp0kS1lEbSnchlhtqwhQf7MALSkowbfzvlVi1q5IrdzO\n3methaz+Wdv3FLyEeBe0aLoJ/0gfidEUWOKIuJCokEA8c1FP/GNwG2XdXLHvJP4zZwe+WpOCf0/s\ngVFdExv99ZcRnML9w1X8p6uRygIiQpUY1YVopSjVBaq+TsRpmbHs1LY266w/o+JijeZJlktyWKmp\n1LJMBK5sK1M+qv7ATstMgzsFrwhRSXxTllb/AMtrmdu+FqFqb7m9bRqyD/01QxtIY4dC093JQL5g\n0bQUbadFk7iOrs0j8cVNg7FgZwZe+G0H9p8oxA2frlMWz39f0AOdElns3RkoYRMUiAipO+VGKkwV\nSnAqoWs0C1Cx0i5cvBBDhg9BBczr1Tp7otXe8sp91biNHcGrfwbl8EqsBapYZu2JYv21zK1f65+1\nXV7ltV+A2rft60A/8zFlmXpv9Vr/vD/8kWvKVbHKQQGnhDIFMnEUCk034R9htlwYfSFGU3eds2g7\ncYM7fWyPJJzdpRk+/+sQ/m/hPizZfQLL9y7DVYOSce/ozkiMMtegJb6FLlZsk7d2BOxAn4Q+MBgM\nbhO8IlDVZLSZm8otYtjea/2zDdmmtmNZtw8V8Fpe/eFVu4M21CpyaxDIdgWwX4Cy+OvLZK7eVy6X\nz8lxLcutt6tcrk/yXv+s9TLLNnaOxcQ550Oh6Sb8IyN9x3Ue1QrwDwTyjwPlxUCguQYoIa4iOMCA\nW8/uiEkDWuP1P3Zj5rpUfLXmMH7acBQ3j2iPW8/ugMiQQHYAqTO6qAiFd/4f0zStiigVC6291/o2\nIkx1ceroa4c+q1Wo49guE0FcUFSAgKCAU9tVrhdrsfx4QCMaM0His2sSu7aC1Xq59bIqgtjvdAGs\nz9V2/jbbWR3T+rPWn7NeZy2ooQE5JueVeXMGFJpuwj883Hdc5/4GIKYNkLUfyE4BErt5ukWkidAs\nIhj/ndQHNw5vj1fm78afO9Lxf4v2KdF516hOmHJmGyVKCWksiAVNT2iCF/6WEiE5Z84cTJw4sYoV\nWgSyiM66iF5r4VvT9iJg9WXWr63fy1y2l8S6KttVtsl6udpO/5zp1Hb2lknFiTKtDDDBZ2lnaIdr\ncA28BQpNN2GIilJzY14efAKJ01RC8yCFJnE7nZMi8dF1Z+DvlCy8NG8X1h3KVglDn6w8qOpyXtyv\nFQz+HLWKEE8KZBXj6R/otdbiuiLiWVlpqxO3JiPKNTviVheuVoJV395YjQC2vLfet7UgthHb6nOV\nx7D33voz0UXR8CYoNN3pOvfzUxZNraICfgEB3h+nuZ8ljohnGdg2Dt/dNhQLd2bglfm7sCe9AA98\nt1mNNnTP6M4Y36PxZ6gTQtwnnpXbGgGqVJYvYqy0QHsTXq52Gg9+BgMM0dEw5uTAmJuLgPjqh+3z\nrszzQ55uCWniyD//MT2SMKpbIn7acARvL9yLfRkFuOebjeicGIHh0X6YYNLgptwSQgghdcA7qiM3\nEQwxMWouYtN3ammyxBHxDsRVfsUZyVj04Ei8eGlvtIoJxd6MAny214AL3lmJuVuPw2TSPN1MQggh\nVlBouhHfEpq0aBLvJCjAXw1dufihkXjuoh6ICdKUS/2fX23AhGnL8evmYzBScBJCiFdAoelGfFNo\npgAmH06/I41ecD7Z34hnL+yBpKhg7ErLVy71c19fgq/XHEZpRSOqu0IIIT4IhaYnhGZ2Nrye4Agg\nPAGQ0TSkniYhXkqAP3DNmW2w9OFReP6SXmgTF4aUzCL86+etGPHyYny4bD8KSr24EjYhhDRiKDTd\niCEuTs0rMrPgEzBOk/gQIYEGXHNmWyx68By8fVU/dGseiYz8Urw4dxeG/XehKgSfWVDq6WYSQkiT\ngkLTjQQmmUuxVKSnwydgnCbxQQIM/qrO5rx7R+DTqYMwqF0s8koqVOH3YS8twmM/bsGedB8YOIEQ\nQhoBLG/kzoudlKTm5Rk+IjT1Mc+zmHlOfLMskpREkmndoSx8sGQ/Fu7KwLfrUtU0onMzNQLROV0S\n4M/i74QQ4hIoND0gNCvSM+AT0KJJGgmD2sVh0NQ4HDhRgE9XHsIPfx/B8r0n1dQhIRw3DG+Pywa0\nQlgQ/yUSQogzoevcjQTqQjMtDT4BYzRJI6NDQgSeu6QXVj8+Go+P74aW0SE4cKIQT87ahqH/XYTn\n5+zAwZOFnm4mIYQ0Gvjz3Z0XOyFBDUNZkZnpG8NQ0qJJGinRYYG47ZyOuPGs9pi/PQ0frziIjYdz\nMH3FQTWd1akZpgxpo0YkCjTw9zghhNQXL1c6jQu/wEAYmsXDeOIkKk6eRGDz5vBqIpsDAaFAUSZQ\nkgeERHm6RYQ4FRGRE/u0VNOWIzn4cnWKKvi+Yt9JNSVGBuOqwW3wj8HJaBEdyqtPCCF1hD/V3Uxg\nog+5z/38aNUkTYY+rWPwyuV9sebxMXj6wh7omBCuyiNNW7gXw19ahFtmrMfCnemoMHIAA0IIcRRa\nND2RELR9O8rTM+AT9hFxn5/YaR7zvEUfT7eGELe41SU5aOqwdlhzMEtZOcW9/ueOdDUlRAZj0oBW\nuGJgMjolRrBHCCGkBig03Uxgcz3z3AcsmtYljrIPebolhLi9PNKZHeLVdCK/VGWqf/93qkoe+t/S\nA2rq3yZGCc6JfVsgKiSQPUQIITZQaLqZgOYt1Lz86DH4BHpCEGtpkiaMWDHvGNkRt5/TARsOZ+P7\n9UcwZ8txlUAk07Ozt+P8Xs1x2YDWGNYxXhWNJ4QQQqHpdoLam4Vb6cEDPlbiiBZNQsTKObBtnJqe\nurAHft+WpkTnqgOZ+GXTMTU1iwjCBb1b4KJ+rTCgTYz6DCGENFVo0XQzwR07qnnZ/gO+ZdGUGE1C\niAUp7j5pQGs1pWYV4ccNR/DrpmM4cLIQn69KUVPr2FBc1LelGhKza/NIXj1CSJODQtPNBCUnAwEB\nKD96FKaiIviHhcGriWkj0WpATipgLAcMjEMjxJbkuDDcN6YL7h3dGduP5eGXTUcxe/NxHMkuxntL\n9qupW/NIXNi3JSb0boH2zcJ5EQkhTQIKTQ/U0gxq2xZl+/ej9OBBhPbsCa8mMASIagnkHQVyj5xK\nDiKEnIa4yXu1ilbT4+O7Y+2hLOVOn7v1OHal5WNX2m68On+3Ep0S0zm+Vwt0SYqge50Q0mih0PQA\nwR06KKFZduCA9wtNPU5ThKa4zyk0CXEIf/9TWevPXtQTy/acwJwtx7BwZ0al6MzHWwv2okOzcIvo\n7NUqiqKTENKooND0AEGdOgJ//onS/fvhM3GaKSuYEERIPQkK8FfDWcpUWmHEX/sz8fvWNPyxI03F\ndOru9VYxoRjXszlGd0/EoHZx6nOEEOLLUGh6gJDOndW8ZMcO+ARxLHFEiLMIDjBgVNdENb1g7IW1\nB7Mwb1uaKgp/NKcYn6w8qKbI4ACc3SUB53ZLxKhuiYgLD2InEEJ8DgpNDxDar5+aF2/eAs1kgp+/\nl1stWOKIEJcg9TaHdWqmJnGvS43OBTszsGhXOvakF+C3rcfVJBWSBrSJVaJzTPckxnUSQnwGCk1P\nXPQWLRCQmIiKjAyUHTqkYjZ9Q2iyxBEhrozpPKNdnJoeG98NhzOLlOBcuCsDqw9k4u+UbDVJMpG4\n2M/u0gwjOieoAvExYbR2EkK8EwpND2WmilUz/48/ULxxow8ITb2WZgqgaXICnm4RIY2eNvFhmCpj\nrg9vj4LSCqzYe0IlEi3enaFc7N+sTVWTvx/Qu3UMzu5sFp4yLGYgRyYihHgJFJoeIrR/fyU0izZu\nRMxll8GrCYsDgqOA0jygKAsIj/d0iwhpUkQEB+D8Xi3UZDJpqlbnsr0nsHzvCWXl3Jyao6b/W7RP\nbSuZ7mLxHN6pmcpq5+hEhBBPQaHpIcIGDVLzwhUroWmadz8IpG2xbYG0rebMcwpNQjzqYu/dOlpN\nd47qhMLSCqw5mIlle04q4bn/RCEW7ExXkz5Ou7nMUpyaU3gSQtwJhaaHCOnRHQEJCahIS0Pprl0I\n6d4dXh+nqYTmQaD1QE+3hhBSSXhwAM7tlqQm4VhOMVbsPaksnhLbeSK/FLM3H1OT0Cwi2CI6ZeqY\nQIsnIcR1UGh6CMk0jxg5Ejnff4/8xYu9X2jqhdqZEESIV9MyJhRXDkpWk3hL9p8owKoDWUp0rjmQ\niZMFpZiz5biadIvnoHaxKqt9YNtY9GwZzfqdhBCnQaHpQSJGjTILzT/+RMI//wmfSAjKOuTplhBC\nHERCcjolRqrp2jPbVgrPQiU6zVOWsnjO3ZqmJiE4wB99WkdjYNs4JTwHtIlBfEQwrzkhpF5QaHqQ\n8LOGwxAdrVznxdu3e/dwlKylSUgjEZ4RarrGSnhuqCyd9PfhbOzLKMC6Q9lq0mnfLFxZPCWjvW/r\nGHRtHkmrJyHEISg0PYh/UBCiLroI2V98gdwff/JyoamXOGItTUIao/AUV7uQU1SmCsfrdTs3p+bi\n4MlCNf244YjaRobG7N4iCn1bR6NP6xhlAe2YEAGD1FoihBArKDQ9TMxlk8xCc9YsJNx7j7JweiXR\nyYCfAcg7BpSXAIEhnm4RIcQFSPF36+SicqMJu47nY31KliqhtOVIrhqfXS+pBKSo7cKDDOjZKlqJ\nT6nr2btVNNrGhakseUJI04VC08OEdOuG8GFDUfjXKmR9+SUS7rwTXokhAIhJNpc3yjkMJHTxdIsI\nIW5Air/r5ZR0covLse1orhKdW46YxacUkZdx22XSCQsyoFvzSPRoGYUeLaLRNSkcZUZ2GyFNCQpN\nLyD+ttvNQvPzGYi9+moExMbCa+M0RWiK+5xCk5AmS3RooCoGL5OOZLProlOmHcfykJZXgg2Hc9Sk\n4wcDPji4XLnezQI0Sr1OjAz27nrChJB6QaHpBYQNHoTwYcNQ+NdfOPHmW2jxn2fh3XGazDwnhFRF\n6nNau9yFzIJS7Dyej53H87DjeB62H8vFvvR8lYAkk15iSRevnRMj0DkpUs27JEWiS1KEKr9EAUqI\n70Kh6QXIP9GkJ/6FAxdfgpzvvkPkeech4qzh8NpamllMCCKE1I6URTqrs0xmy6fRaMTPv85B54Ej\nsDu9UIlPmXYdz1Pu+PUp2WqyxlqAivAUASrJS7SAEuIbUGh6CcEdOyLhzn/ixNvTcOzRR9Fh1s9q\n5CCvghZNQkgDCfQHeknSUJs4yzIpsyT1PPekF2BPej72ZhRgb3q+el2dAJXko/YJ4WjfLEKVX5IR\njmTerlk4okIC2U+EeAkUml5E/K23onD1GhStWYMjd92NNp98DP/wcHhfLU1aNAkhzvXqJEaFqEm3\nfuoCNCO/FHstAlTEZ4Ea7SinSBKS8tRkz40vY7p3qBSfMrWND0dyXCjCgvjYI8Sd8BvnRfgZDGj5\n6itIueofKN68GUfuvhut330X/qGh8DqLpqbJ08HTLSKENPawoqgQNVkLUCG7sEyVWTLX+CzAgRP6\n60KVmCTT2kOnMuB1mkUEITkuDG0qJ3mdHBuGNvFhaB4VwlqghDgZCk0vIzAxUVkyD11zrcpET5k6\nFcnvvYeA+HhPNw0IiQLC4oGiTCA/DYhq4ekWEUKaKLHhQRgoU9uqVTpMJg3H80pw8EQhDlgJ0NTs\nIhzJKsbJgjI1bbTKhNcJNPihdawuPkPVXMaObxUTghbRoSouNMDg78azJMT3odD0QoLatUPbzz5F\n6q23oWTzFhy87HK0fOklhJ85xDusmiI0xapJoUkI8TKkQHwrJQ5DT7OCighNzy/B4cwipGYX43BW\nEVKzitRcJokT1a2i9pCRj8Tq2TJGplDzFG31OiYUUSEBzJInxAoKTS8luFMntPtuJo7cfQ+KN27E\n4RtuQMyVV6rRgwLiTgXReyRO8+jf5jjNtkM91w5CCKmHCBXLpEz2frYXlxlxJNssOlMyi3AspxjH\ncotxNKdEvRYhKoXpZQKqJifpRAQHoHl0iBKkiVHBZtd/pHkuMahJUcFIjAzhWPGkyUCh6cUENGuG\ntl/MwMn3P8DJDz5AzsyZyJs7F/E33agKuxuiotzfKGaeE0IaKaFBBnMdz6RIu+tLK4xIyxXRaRae\ntkJUpoLSCuzLKFBTTcSFBylXvIjSpMhKASpiNDIYzWQKl3kQk5eIz0Oh6eX4BQQg4e67EDX+fKT/\n9yUUrlyJE2+9jcyPpiP6skmImTRJDWPpNlhLkxDSRAkOMKjsdZnsIVnyecUVSnxKtnx6Xgky8kqQ\nnmd+nS7LcktwoqAUWYVlatqVll/jMUMDDUpwxovwjJApSM3jreYJah6MmNBAji1PvA4KTR9ypSdP\n/whFq1bh5EcyX43sGV+oKaRHD0SOG4eIUSMR3Lmza+ODaNEkhBC7yP/e6LBANXWvIVfSaNKQWViK\nDF2AVs4z8kWYmjPmzUlLpSguNyI1q1hNtSExpGIpjQsLQkxYIGLDghAbXjmvZllUaCAz7YlLodD0\nsX9iMlSlTCU7diDnhx+RO2eOei3TiTffRGCrVmp92BkDETpwoHrvVOHJWpqEENIgRBBKnKZMUry+\nOsRCWlhmxMn8UiVMT+SXqflJfW4lSDMLylRxe4kjlclR5PEgoy9Zi9MYJUID1fKIYAP2n/BD2K4M\nxIQHq2VSED8qNEBZWzk8KKkNCk0fRayYzZ/qgcRHH0HBsmUoWLwEBUuXovzoUeR8/72ahIDERIT0\n7Ingbl0R0rUrgrt2RVCbNqpmZ72IbAEYgoHCE0BpARAc4dwTI4QQohARJ8lFMsmIR7VRVmFSAjS7\nsBw5RWXILipHtswLza/Ny8qQpb8uLENeSYUqfi9T9Rjw5b4Npy0N8PdTFlGz+AxQr3URap5XTiEB\niAyR8whEeLABkZXz8OAABAf4U6w2cig0fRz/4GBEjR2rJs1kQsm2bShatx5Ff/+N4r//RkVGBgpk\nWrzY8hm/wEAEJicrwRnUtg0C27ZFUHIyApKSENi8OfwjI6v/4vv7A7FtgZN7zCWOmvdy38kSQgip\nlqAAf0tWvaNUGE3IKbYSpkqUml/nl5Qjt6gcO/cfQkRcIvJLKpQwzSsuR15JOUrKTZZY0/oitUtF\ncOqC2vq15b0SqQa76ySBSyyrYTIPMiDIQOHqbVBoNiL8/P0R2qePmiQzXYRn2aEUlO7aiZJdu1Gy\nexdKd+1GRXo6yg4cUJPd/YSGqsLxAc2bIyApEQHxzWCIi0VAbCwMMhUkwpC3HwGHd8A/sYc6LiGE\nEN9DCtCbk4yC7a43Go2YM+cAJk48AwYbT5hk4Uvyk4hOs/g8JUJleW7la5kXllagoKRCZeXLpN6X\nVqDcqDlgUa1bWEJYoFl0msVngJqH2QjS0EDzcn07y7aV24TIFGBASKA/ggPltT9CZB5oYExrUxOa\nJpMJ/hQ6dhEBGNyhvZqiJkw4dc2KilCWmoqylBSUHz6MspTDKDuSior0DFSkpZnXp6SoqXqSgLlP\nA4b/wBAZCf+ICGUJNYSHq7l/ZAQMsizC5nV4GPxDQuAXEgr/UJmHqCE21bLQUPgFBdGNQgghPpKF\nnxApk32R6ggiVkWAFpYaq4jQfF2M2ohT6+USv1pSbkRRWQWKyoyqDmqFSVPbyOQqJGTALDr91TUI\nDvRXolSfy3JZH2wlToMDKgWrzbYyFyusWKNlku2CDAbLezUZrNf5+1xlAZ8Vmp988gmeeuopHD9+\nHN27d8d7772Hs88+29PN8gn8w8JUvKZM9jAWFCirZ3lamhKfxqxMVGRnw5idA2NWFoypu1CRfgTG\nihCYSipgzMlRk3Ma528RneZ5CPxDQuEXHKxc/n5BMgXBXwRpYJBZmKrlQTZT5bLAQPO2QVbbBgQA\nhgD4BQaYY1UDAtQymUx+fgjIylLnrgUHAwaD+TMyl8/JdhzjnRBCnIISahEGxDsp3F/iVEVwFpWf\nEp8yFzFqFqXGqsvLKyyvzXPz52Tb0gqTmkuIQEmFEaWVcxGzZvELjxDg73eaCLW8NvgjqsIfE+E9\n+KTQXLZsGe644w58//33GDNmDKZNm4YLL7wQe/fuRWJioqeb5/OI9VGm4I4d7W+wex7wzVVAh1HQ\nrvpOCVNTfn7lvACmwgIY8/Orvi4oVNuYiothKimGVlwCU0kJNPW+RC2X11p5ubKooqgIRniGDgAO\nvvxK9RuI6LQWngGVglUJV/N7EcwqpEC2k7l6LcsMp+a1beNntU727+9X/edl/GU/22PIPq3WyedF\nJKvXssxs9VZppw6s95Nf0fp6mav26OvNk/m9eVmV7fV9W21f5dj69tWur2xL5TJzO/1gNJkQkJOL\n8vR0mAyV/87UqlNtskyVyRWVL2zWyT4rl9tZr5ba7Muyjj88CPEadNEVjUCX7F8qAZQZTRYRKuJT\nrLJKjNqKU+v3FaeEqvVnZC7iWLaTuey7zN5r2abyvQjdikpxbI/OHhjLpSb8NLlqPsZ1112HgoIC\n/PTTT+q9nEK7du3w0EMP4e67767188XFxQgLC0NRURFCQx0Pmq4P5viWOZg4ceJp8S0+S+4R4M2e\nQFAkcNdawM9556VVVMBUWgZNxGdJqVmAlpZCKy2DqbwcWlkZtPIKJUjNr2Vebp5bvTbVsE6rMErH\nqGNplXP1vvJ1cUEBggMDpdjdqXWybeXnCLGLRYhaFliJYl3EVt3GIojV8mrEqx2Be+pz5o+e2q+1\nYLYWxFafszmWvpPThLb18W3P0+b1KQFfZcOq26u5htzcXERHx5z6QVDt9naOqR/PeqXlFOy03bJP\n613Za5cNNVyHU4v8atne5nN2t7d5X+W17fEcPEerdX51OUc7bZc2m6Dh6JGjaN26tZ37zk77T1tp\n28+nrba/j1r2edrbms7RwX3UeJ1qOk4d94Far8fp+9CPq0GDSQOMMpnktabmRn1u1HCwuAgTXvqv\nyzWHo1rKJy2aW7ZswRVXXFGlA/r376+W26O8vBwVIhisLo4uAmVyJfr+XX0ctxLRAv7xneGXuRd4\no7tTdy1fJad9NeQHrZN/1KqfZRqgmeS1H1A5l/eonGsmv6rbynZqXrlN5fIa16FyP/o6nL6tvc9V\newy1g8pdqz+V2+jvLeustrVerx+/ynt9vdX5WvbnZ3Us2/2dvr3tsa2vX61ttd6H1fuqryvbY3ed\n9XXR8ath3al9Vl1mfZL2m1KXdY0VieYrOXLc080gdUAG5Mz9ezOvmQ9gANC9hQFG4/MuP5ajusYn\nhWZ+fj6ibMb5jo6OVsvt8cILL+DZZ589bfncuXMRLHF4bmDevHloTLQJPxvd8k7CTyksUhNV7RPe\nDmVRna+YjSC3vZSnCVVHhK6dfWlW4tfedlU0bnVtcWCbqouqiv/atq9uXbU/AuqwT7u+t3rvq4Zv\nYx2PU6NPsI7r7P4YqsO+LP3VgDZUuSfrsq+6bGP7kbp+xgXtqPGecNIxav1u2F3gADafKY1PcIvm\nKC0tbbxCU0Rmjk3ySXZ2Nlq0sD/m1xNPPIFHH320ikUzPj4eEyZMcIvrXDp8/Pjxjcd1rpBQ41fR\n2Gi8/dU4YX/5Fuwv34N95lsY3fgM073DjVJoipt87dq1VUoc/f333/j3v/9td/tAKVAuMXc2SCe4\nS0y481ik4bC/fAv2l2/B/vI92Ge+hcENmsPR/ftkpe3bb78df/zxB2bMmIG0tDQlMEtKSjB58mRP\nN40QQgghhPiy0Bw8eDC++uorvPzyy+jatSuWLl2K+fPnIy4uztNNI4QQQgghvuw6Fy6//HI1EUII\nIYQQ78QnLZqEEEIIIcT7odAkhBBCCCEugUKTEEIIIYS4BApNQgghhBDiEig0CSGEEEKIS6DQJIQQ\nQgghLoFCkxBCCCGEuAQKTUIIIYQQ4hIoNAkhhBBCiEug0CSEEEIIIS6BQpMQQgghhLgECk1CCCGE\nEOISKDQJIYQQQohLCEATRNM0NS8uLnb5sYxGI0pLS9WxDAaDy49HGgb7y7dgf/kW7C/fg33mWxjd\nqDl0DaVrqupokkKzpKREzePj4z3dFEIIIYQQn9ZUYWFh1a7302qToo0Qk8mEnJwchISEwM/Pz+WK\nXwRtZmYmQkNDXXos0nDYX74F+8u3YH/5Huwz36LYjZpD5KOIzJiYGPj7Vx+J2SQtmnJB4uLi3HpM\n6XAKTd+B/eVbsL98C/aX78E+8y1C3aQ5arJk6jAZiBBCCCGEuAQKTUIIIYQQ4hIoNF1MQEAAnn76\naTUn3g/7y7dgf/kW7C/fg33mWwR4oeZokslAhBBCCCHE9dCiSQghhBBCXAKFJiGEEEIIcQkUmoQQ\nQgghxCV4T7RoI2TDhg1Yvny5KmZ68cUXqznxHCtXrsTGjRvRrFkzjB8/HtHR0VXWp6SkYN68eaoI\n7YQJE9C2bds6rSeu4a+//sKyZcswefJktG/f3rI8NzcXv/zyC7Kzs3HWWWdh4MCBVT5X23rifA4d\nOoQ///wTgYGBuPTSS6t8xyoqKjB79my1Tffu3TFu3LgqA2bUtp44f6jC+fPnY9++farAt/xPtK0v\nvXTpUvU/s3nz5uoZZluXsbb1pP58/PHHOHHihHrdrl07XHXVVadts3PnTixYsEDVsrzwwguRmJjo\n1PXOghZNF/Hmm29i1KhR2LJlCz755BP06tVLCRXifvLz8zF06FA89thj2LVrF/73v/8pwbJp0ybL\nNosXL0aPHj2waNEiLFmyRD3o5Avo6HriGk6ePInrr78ejz/+OHbv3m1Znpqaqr5T8s9YvmPnnnsu\nXnvtNYfXE+fzzjvvoE+fPli4cCHWrFmDkSNHWh6UZWVlqg/+9a9/qX687bbbcOWVV1o+W9t64lxk\nLOwRI0bg/vvvV0Jzx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          }
        }
      ],
      "source": [
        "# Constants\n",
        "initial_temp = 100\n",
        "alpha = 0.995\n",
        "iterations = np.arange(0, 1001)\n",
        "\n",
        "# Cooling strategies\n",
        "def exponential_cooling(initial_temp, alpha, iteration):\n",
        "    return initial_temp * (alpha ** iteration)\n",
        "\n",
        "def linear_cooling(initial_temp, alpha, iteration):\n",
        "    return max(0, initial_temp - alpha * iteration)\n",
        "\n",
        "def logarithmic_cooling(initial_temp, alpha, iteration):\n",
        "    return min(initial_temp, alpha * initial_temp / (np.log(1 + iteration) + 10e-9))\n",
        "\n",
        "def inverse_cooling(initial_temp, alpha, iteration):\n",
        "    return initial_temp / (1 + alpha * iteration)\n",
        "\n",
        "# Calculate temperatures\n",
        "linear_temps = [linear_cooling(initial_temp, alpha, i) for i in iterations]\n",
        "exponential_temps = [exponential_cooling(initial_temp, alpha, i) for i in iterations]\n",
        "logarithmic_temps = [logarithmic_cooling(initial_temp, alpha, i) for i in iterations]\n",
        "inverse_temps = [inverse_cooling(initial_temp, alpha, i) for i in iterations]\n",
        "\n",
        "# Plotting\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.plot(iterations, exponential_temps, label='Refroidissement exponentiel')\n",
        "plt.plot(iterations, linear_temps, label='Refroidissement linéaire')\n",
        "plt.plot(iterations, logarithmic_temps, label='Refroidissement logarithmique')\n",
        "plt.plot(iterations, inverse_temps, label='Refroidissement inverse')\n",
        "plt.xlabel('Itération')\n",
        "plt.ylabel('Température')\n",
        "plt.title(r'Stratégies de refroidissement ($\\alpha = 0.995$)')\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "id": "8fd8242c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "**Voir aussi** : [Effective Simulated Annealing with\n",
        "Python](https://nathanrooy.github.io/posts/2020-05-14/simulated-annealing-with-python/)\n",
        "par Nathan A. Rooy, 2024-11-05.\n",
        "\n",
        "## Choisir la bonne stratégie\n",
        "\n",
        "- **Spécifique au problème** : Le choix du calendrier de refroidissement\n",
        "  dépend souvent des caractéristiques du problème à résoudre. Certains\n",
        "  problèmes bénéficient d’un taux de refroidissement plus lent, tandis\n",
        "  que d’autres peuvent nécessiter une convergence plus rapide.\n",
        "\n",
        "- **Expérimentation** : Il est courant d’expérimenter différentes\n",
        "  stratégies et paramètres pour trouver le meilleur équilibre entre\n",
        "  exploration (recherche large) et exploitation (affinement des\n",
        "  meilleures solutions actuelles).\n",
        "\n",
        "## Conclusion\n",
        "\n",
        "Après l’application du **recuit simulé**, une méthode de **recherche\n",
        "locale** comme la **montée de colline** peut être utilisée pour\n",
        "**affiner la solution**.\n",
        "\n",
        ". . .\n",
        "\n",
        "Le **recuit simulé** est efficace pour explorer l’espace de solutions et\n",
        "**éviter les minima locaux**, tandis que la **recherche locale** se\n",
        "concentre sur l’**exploration des solutions voisines de celle obtenue**.\n",
        "\n",
        "## Visualisation du recuit simulé\n",
        "\n",
        "<https://youtu.be/NPE3zncXA5s?si=Z9rk2Kt_5pN8ChlA>\n",
        "\n",
        "**Attribution:**\n",
        "[ComputationalScientist](https://www.youtube.com/@computationalscientist6368),\n",
        "publié le 06-01-2018.\n",
        "\n",
        "# Prologue\n",
        "\n",
        "## Résumé\n",
        "\n",
        "- Les algorithmes de recherche locale se concentrent sur la recherche\n",
        "  d’états objectifs en se déplaçant entre des états voisins sans suivre\n",
        "  les chemins.\n",
        "- L’algorithme de montée de colline recherche le voisin de plus grande\n",
        "  valeur mais peut se retrouver coincé dans des maxima locaux ou des\n",
        "  plateaux.\n",
        "- Une représentation efficace de l’état, comme l’utilisation de\n",
        "  permutations dans le problème des 8-Reines, évite les placements\n",
        "  illégaux et améliore les performances.\n",
        "- Le recuit simulé permet des déplacements occasionnels vers le haut\n",
        "  pour échapper aux optima locaux, contrôlés par un paramètre de\n",
        "  température décroissant.\n",
        "- La probabilité d’acceptation dans le recuit simulé diminue à mesure\n",
        "  que la température baisse et que la différence d’énergie augmente.\n",
        "- Le recuit simulé résout efficacement des problèmes complexes comme le\n",
        "  problème du voyageur de commerce en explorant l’espace des solutions\n",
        "  de manière probabiliste.\n",
        "\n",
        "## Lectures complémentaires\n",
        "\n",
        "![](https://media.springernature.com/full/springer-static/cover-hires/book/978-3-319-91086-4?as=webp.png)\n",
        "\n",
        "“La méthodologie globale du recuit simulé \\[simulated annealing\\] est\n",
        "ensuite déployée en détail sur une application réelle : un **problème de\n",
        "planification de trajectoire aérienne à grande échelle impliquant près\n",
        "de 30 000 vols** à l’échelle continentale européenne.”\n",
        "\n",
        "(Gendreau et Potvin 2019, chap. 1)\n",
        "\n",
        "Gendreau et Potvin (2019), [accès via Springer\n",
        "Link](https://link.springer.com/book/10.1007/978-3-319-91086-4).\n",
        "\n",
        "Saviez-vous que vous pouvez accéder gratuitement à l’ensemble de la\n",
        "collection de livres de Springer ? En utilisant un appareil connecté à\n",
        "une adresse IP de l’uOttawa et en visitant [Springer\n",
        "Link](https://link.springer.com), vous avez la possibilité de\n",
        "télécharger des livres en format PDF ou EPUB.\n",
        "\n",
        "Le livre est co-édité par [Jean-Yves\n",
        "Potvin](https://recherche.umontreal.ca/english/our-researchers/professors-directory/researcher/is/in14464/)\n",
        "et [Michel\n",
        "Gendreau](https://www.polymtl.ca/expertises/en/gendreau-michel).\n",
        "[Jean-Yves\n",
        "Potvin](https://recherche.umontreal.ca/english/our-researchers/professors-directory/researcher/is/in14464/)\n",
        "est professeur à l’Université de Montréal, tandis que [Michel\n",
        "Gendreau](https://www.polymtl.ca/expertises/en/gendreau-michel) est\n",
        "professeur à l’École Polytechnique de Montréal.\n",
        "\n",
        "## Prochain cours\n",
        "\n",
        "- Nous discuterons des algorithmes basés sur la population.\n",
        "\n",
        "## Références\n",
        "\n",
        "Aarts, E. H. L., et J. H. M. Korst. 1989. *Simulated annealing and\n",
        "Boltzmann machines : a stochastic approach to combinatorial optimization\n",
        "and neural computing*. Wiley-Interscience series in discrete mathematics\n",
        "et optimization. Wiley.\n",
        "\n",
        "Alex, Kwaku Peprah, Kojo Appiah Simon, et Kwame Amponsah Samuel. 2017.\n",
        "« An Optimal Cooling Schedule Using a Simulated Annealing Based\n",
        "Approach ». *Applied Mathematics* 08 (08): 1195‑210.\n",
        "<https://doi.org/10.4236/am.2017.88090>.\n",
        "\n",
        "Bellman, Richard. 1962. « Dynamic Programming Treatment of the\n",
        "Travelling Salesman Problem ». *Journal of the ACM (JACM)* 9 (1): 61‑63.\n",
        "<https://doi.org/10.1145/321105.321111>.\n",
        "\n",
        "Ben-Ameur, Walid. 2004. « Computing the Initial Temperature of Simulated\n",
        "Annealing ». *Computational Optimization and Applications* 29 (3):\n",
        "369‑85. <https://doi.org/10.1023/b:coap.0000044187.23143.bd>.\n",
        "\n",
        "Gendreau, M., et J. Y. Potvin. 2019. *Handbook of Metaheuristics*.\n",
        "International Series in Operations Research & Management Science.\n",
        "Springer International Publishing.\n",
        "<https://books.google.com.ag/books?id=RbfFwQEACAAJ>.\n",
        "\n",
        "Held, Michael, et Richard M. Karp. 1962. « A Dynamic Programming\n",
        "Approach to Sequencing Problems ». *Journal of the Society for\n",
        "Industrial and Applied Mathematics* 10 (1): 196‑210.\n",
        "<https://doi.org/10.1137/0110015>.\n",
        "\n",
        "Laarhoven, P. J. M., et E. H. L. Aarts. 1987. *Simulated annealing:\n",
        "theory and applications*. Kluwer Academic Publishers.\n",
        "\n",
        "Nourani, Yaghout, et Bjarne Andresen. 1998. « A comparison of simulated\n",
        "annealing cooling strategies ». *Journal of Physics A: Mathematical and\n",
        "General* 31 (41): 8373.\n",
        "\n",
        "Russell, Stuart, et Peter Norvig. 2020. *Artificial Intelligence: A\n",
        "Modern Approach*. 4ᵉ éd. Pearson. <http://aima.cs.berkeley.edu/>.\n",
        "\n",
        "## Prochain cours\n",
        "\n",
        "- Nous discuterons des algorithmes basés sur les populations.\n",
        "\n",
        "## Références\n",
        "\n",
        "Aarts, E. H. L., et J. H. M. Korst. 1989. *Simulated annealing and\n",
        "Boltzmann machines : a stochastic approach to combinatorial optimization\n",
        "and neural computing*. Wiley-Interscience series in discrete mathematics\n",
        "et optimization. Wiley.\n",
        "\n",
        "Alex, Kwaku Peprah, Kojo Appiah Simon, et Kwame Amponsah Samuel. 2017.\n",
        "« An Optimal Cooling Schedule Using a Simulated Annealing Based\n",
        "Approach ». *Applied Mathematics* 08 (08): 1195‑210.\n",
        "<https://doi.org/10.4236/am.2017.88090>.\n",
        "\n",
        "Bellman, Richard. 1962. « Dynamic Programming Treatment of the\n",
        "Travelling Salesman Problem ». *Journal of the ACM (JACM)* 9 (1): 61‑63.\n",
        "<https://doi.org/10.1145/321105.321111>.\n",
        "\n",
        "Ben-Ameur, Walid. 2004. « Computing the Initial Temperature of Simulated\n",
        "Annealing ». *Computational Optimization and Applications* 29 (3):\n",
        "369‑85. <https://doi.org/10.1023/b:coap.0000044187.23143.bd>.\n",
        "\n",
        "Gendreau, M., et J. Y. Potvin. 2019. *Handbook of Metaheuristics*.\n",
        "International Series in Operations Research & Management Science.\n",
        "Springer International Publishing.\n",
        "<https://books.google.com.ag/books?id=RbfFwQEACAAJ>.\n",
        "\n",
        "Held, Michael, et Richard M. Karp. 1962. « A Dynamic Programming\n",
        "Approach to Sequencing Problems ». *Journal of the Society for\n",
        "Industrial and Applied Mathematics* 10 (1): 196‑210.\n",
        "<https://doi.org/10.1137/0110015>.\n",
        "\n",
        "Laarhoven, P. J. M., et E. H. L. Aarts. 1987. *Simulated annealing:\n",
        "theory and applications*. Kluwer Academic Publishers.\n",
        "\n",
        "Nourani, Yaghout, et Bjarne Andresen. 1998. « A comparison of simulated\n",
        "annealing cooling strategies ». *Journal of Physics A: Mathematical and\n",
        "General* 31 (41): 8373.\n",
        "\n",
        "Russell, Stuart, et Peter Norvig. 2020. *Artificial Intelligence: A\n",
        "Modern Approach*. 4ᵉ éd. Pearson. <http://aima.cs.berkeley.edu/>.\n",
        "\n",
        "------------------------------------------------------------------------\n",
        "\n",
        "Marcel **Turcotte**\n",
        "\n",
        "<Marcel.Turcotte@uOttawa.ca>\n",
        "\n",
        "École de **science informatique** et de génie électrique (**SI**GE)\n",
        "\n",
        "Université d’Ottawa"
      ],
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