{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Local Search\n",
        "\n",
        "CSI 4106 Introduction to Artificial Intelligence\n",
        "\n",
        "Marcel Turcotte  \n",
        "Version: Jan 30, 2026 12:30\n",
        "\n",
        "# Preamble\n",
        "\n",
        "## Message of the Day\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",
        "## Learning Objectives\n",
        "\n",
        "- **Understand** the concept and application of local search algorithms\n",
        "  in optimization problems.\n",
        "- **Implement** and analyze the hill-climbing algorithm, recognizing its\n",
        "  limitations such as local maxima and plateaus.\n",
        "- **Apply** effective state representation strategies in problems like\n",
        "  the 8-Queens to enhance search efficiency.\n",
        "- **Explain** how simulated annealing overcomes local optima by allowing\n",
        "  probabilistic acceptance of worse states.\n",
        "- **Analyze** the influence of temperature and energy difference on the\n",
        "  acceptance probability in simulated annealing.\n",
        "- **Recognize** the application of simulated annealing in solving\n",
        "  complex optimization problems like the Travelling Salesman Problem\n",
        "  (TSP).\n",
        "\n",
        "In this presentation, we will analyze two local search algorithms: hill\n",
        "climbing and simulated annealing. Our goal is to explain the concept of\n",
        "local search and examine methods for avoiding local optima. We will\n",
        "briefly discuss hill climbing, given its simplicity, and spend more time\n",
        "on simulated annealing, a very useful algorithm.\n",
        "\n",
        "# Introduction\n",
        "\n",
        "## Context\n",
        "\n",
        "- Focus has been on **finding paths** in **state space**.\n",
        "\n",
        "- Some problems prioritize the **goal state** over the **path**.\n",
        "\n",
        "  - Integrated-circuit design\n",
        "  - Job shop scheduling\n",
        "  - Automatic programming\n",
        "\n",
        "The importance of the path versus the goal state hinges on the problem’s\n",
        "nature. For instance, in a routing problem, the path is the critical\n",
        "piece of information sought.\n",
        "\n",
        "## 8-Queens Problem"
      ],
      "id": "258e1491-279d-4c54-a551-6511de950916"
    },
    {
      "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",
        "    # Create a checkerboard pattern\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  # White tiles\n",
        "            else:\n",
        "                board_matrix[row, col] = 0.5\n",
        "\n",
        "    # Create custom colormap: gray for 0.5 and white for 1\n",
        "    cmap = ListedColormap(['lightgray', 'white'])\n",
        "\n",
        "    # Create the plot\n",
        "    fig, ax = plt.subplots(figsize=(width, width))\n",
        "    ax.imshow(board_matrix, cmap=cmap, extent=(0, n, 0, n))\n",
        "\n",
        "    # Add the queen markers\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",
        "    # Add grid lines\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",
        "    # Remove axis labels and ticks\n",
        "    ax.set_xticks([])\n",
        "    ax.set_yticks([])\n",
        "    ax.tick_params(axis='both', which='both', length=0)  # Ensure ticks are completely disabled\n",
        "\n",
        "    plt.title(f\"{n}-Queens Problem\")\n",
        "    plt.show()"
      ],
      "id": "922a44b6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 8-Queens Problem"
      ],
      "id": "6c8d1bd6-7015-4734-ae13-da054cd34a23"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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0oLOeeqe3AAD4IBB0ZbXu3bvbfb2gazWSd9k2vfDrGp9O24FWFenF3xsIWkLQ0oEzsV3f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\nOvb4lVdekeLFi7v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          }
        }
      ],
      "source": [
        "# Example board for the 8-queens problem\n",
        "# Represents one valid solution\n",
        "board = [0, 4, 7, 5, 2, 6, 1, 3]  \n",
        "\n",
        "display_n_queens(board, 5)"
      ],
      "id": "e1fb19d1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The **[8-Queens\n",
        "problem](https://en.wikipedia.org/wiki/Eight_queens_puzzle)** involves\n",
        "placing eight queens on an $8 \\times 8$ chessboard such that **no two\n",
        "queens threaten each other**, meaning no two queens share the same row,\n",
        "column, or diagonal.\n",
        "\n",
        "For an $8 \\times 8$ chessboard, there exist precisely 92 distinct\n",
        "solutions. Eliminating symmetry, one finds 12 fondamental solutions. In\n",
        "the more general scenario of an $n \\times n$ chessboard, the exact\n",
        "number of solutions has been determined for all $n$ values up to and\n",
        "including 27.\n",
        "\n",
        "## Definition\n",
        "\n",
        ">  **(Russell and Norvig 2020, 110)**\n",
        ">\n",
        "> **Local search algorithms** operate by searching from a **start\n",
        "> state** to **neighboring states**, without keeping track of the paths,\n",
        "> nor the set of states that have been reached.\n",
        "\n",
        "Optimizes **memory utilization** while effectively solving problems in\n",
        "**extensive** or **infinite state spaces**.\n",
        "\n",
        "This algorithm lacks a systematic approach and does not ensure the\n",
        "discovery of an optimal solution.\n",
        "\n",
        "## Problem Definition\n",
        "\n",
        "Find the “best” state according to an **objective function**, thereby\n",
        "locating the **global maximum**.\n",
        "\n",
        "This **optimization problem** is commonly referred to as **hill\n",
        "climbing**.\n",
        "\n",
        "# Hill-Climbing\n",
        "\n",
        "## Hill-Climbing\n",
        "\n",
        "![](attachment:../../assets/images/search_hill-climbing-00-en.png)\n",
        "\n",
        "## Hill-Climbing\n",
        "\n",
        "Given as in input a *problem*\n",
        "\n",
        "- *current* is the *initial state* of *problem*\n",
        "\n",
        "- **while** *not done* **do**\n",
        "\n",
        "  - *nighbour* is the highest-valued successor state of *current*\n",
        "  - if value(*neighbour*) $\\le$ value(*current*) the **return**\n",
        "    *current*\n",
        "  - set *current* to *neighbour*\n",
        "\n",
        "Hill climbing neither records previously visited states nor anticipates\n",
        "beyond its immediate neighbors. It keeps track of one current state\n",
        "moves in the direction of the **steepest ascent**.\n",
        "\n",
        "Notably, by inverting the sign of the objective function, the algorithm\n",
        "can be adapted to seek a local minimum instead.\n",
        "\n",
        "## 8-Queens\n",
        "\n",
        "How would you represent the **current state**?\n",
        "\n",
        ". . .\n",
        "\n",
        "Why is using a grid to represent the **current state** suboptimal?\n",
        "\n",
        ". . .\n",
        "\n",
        "A grid representation **permits the illegal placement** of two queens in\n",
        "the same column.\n",
        "\n",
        ". . .\n",
        "\n",
        "Instead, we can represent the state as a list ($\\mathrm{state}$), where\n",
        "each element corresponds to the row position of the queen in its\n",
        "respective column.\n",
        "\n",
        "In other words, $\\mathrm{state}[i]$ is the row of the queen is column\n",
        "$i$.\n",
        "\n",
        "## State Representation"
      ],
      "attachments": {
        "../../assets/images/search_hill-climbing-00-en.png": {
          "image/png": 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PfvCDsh6E7cL6zW9+Ey0t27VLZ5KjBK2s5+vmm29ed+Xoo9lI09DoJRl1nHVX\nSyRce+21DdbdPv3006effnpiqcRUaLzwwguJhOxUXNGBBx64+uqrX3XVVdl4Z8bDhw8v7l784Hsx\nJyJrrLHGgAEDslNrrrnml770pWyk5vjKK69MN8jM7hWftr/tttuykZrjueaaa5NNNilOdeeTUDx6\nLvLRRx9dcsklBx100Prrrx908RX7ww8/vIlv3yuvvJI7YtyjXKS4WeyEWuyoWtwrIs8991wxPnjw\n4GIwF4mq2WKz5Lvuumv//feP3qi55LLN6667rmwqG/d6ZjUq4+787ehpz0NRQ4QAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKwk0oT41ihqjgLJZKFEkF80Xm7Va3XWiRWIUHRbT\nolZywQUXLMazkT59+sw777zZSHEcnR3POOOMYry9kZrtIXOLRDndIYccEr0wc/HGNy+44IJ0chQ1\n3n777aNGjYr+oBdddFEj3SXTC2ZnazbvrNlUNbtXZRwXXgxeeOGFiyyySDGejcQljB07NhtJjKOa\nuZE+uHvuueewYcNy63Tnk5A7dHHzmWeeWWGFFfbbb78gihOLHr3FnE5GikWfa621VnrNZZdddoMN\nNsjlLLfccrlIzc2pU6cW44MGDSoGc5Ho2JprtTtp0qToCtwuk0bqU72eOfnY7Obfjh71PBQ1RAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAi0mEAT6lNPO+20uo0G55tvvig8jWaN\nCyywQFowmlmW9TRN79ix2ThcnH9x32iBueqqqxbj2UhcS5SoZiO5cdQ+xiU3pYgzighzixc3//Sn\nPz344IPFeOORqNSsWd4any//6le/GhWHUbO74447XnHFFbNmzWp82Wzmkksu+Z//+Z877bRTrvz3\nRz/60WabbZbNrIwjvxjMRaII9YADDsgFY3PFFVcMk/Q9irT//u//Lu5bM3LNNdfUjOeC//Vf/5WL\ndPOTkDt6cTNqi6dMmVKMNysSTU+/9rWv5VarW2m6yy675HaJzX79+jXyWfYRI0YU921kx3iecztG\nzXrNatdcWnYzurdOnjw5GymOvZ5Fk27+7ehRz0NRQ4QAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIBAiwn07eT1fPrpp5dddll6kcUXXzy+ih6fEY+0U0899dvf/nZ6l3PPPfc//uM/\n0ms2cfYPf/jDscceG2VwuTVzBZS52diM6yoGs5EoZxw/fnw2UhzH58VHjx4d9XzRivXMM88sK4x7\n7LHHivvmInUbte68887f+c53dthhh9yO1c2osbv++uuj/Wc1EoMo4d1uu+2ic2o22IHxEkssEUWo\nUfzXv3//2D0qXB999NH77ruvb9++0Vlz++23r7lmI593P/jgg8vqnuNBig+Ix1NXc/FKML66/vzz\nz0dH2EROTEXn1EYqp/fee+/Ko55drZufhOyha45vvPHGmvGmBFdaaaWofx0wYEButffffz8XyW2W\nPQNDhw599913c8nZzeiLue2222YjlXG8XMVgLpI76NVXXx2vQC6nkc0nnngit1RuL69nDqT7fzt6\n1POQ07BJgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAoPUEOlufes8990SZUdrl\nnHPOqVbsLbzwwlF+Gm0+X3311bK9br311n/961/xse+yhAbj0Thzjz32ePjhh994443ELlGUGfWy\nxQacUTeZ2CumouAynXD22WenE+Iar7322nXXXbeSFme7zjrr1GxN+uyzz4ZztKEtW/Dee+996qmn\nymYr8ZNOOinWj26jZVWwkfbHP/4xV596ww03dL44NZrRRolttoo0asU2/ve/9DnX/SR3rHPEEUck\nFvnpT396wQUXJC459o0Wqscff3xikZi6/fbbp02bls6Zf/75TznllGJOdz4JxaPnIlFo+89//jMX\n7NhmvGLRuDT61A7533/xSG+11VbzzDNPccGJEycWg9nI4MGDs5vVcZRuV8c1B//n//yfum9rzR2j\nBn2jjTaqTn3++efF3rfV2fQgXZ/q9Szq9cDfjm57HooaIgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgRaT2CuTl5S1JKmV/jKV76Sq3eMxorRXjGx1xdffHHJJZckEhqciorDq666\n6u67767bCfW3v/1tcc26FW/p0sl//OMf999/f3HZamShhRa6+eabq8WpEY82optvvnk1ITuIotV0\n+envfve7bH5xPHz48DhWFBQus8wyxdlq5M477/zggw+qmzGYa67OPiSxSNyCbHFqdv30OI0c+0aN\na/qK4tDFb83nDhrPSS5S3IzOmsVgLvLDH/5w6aWXzgW7+UnIHb24Gf1r40krxhuPRCHpvvvue+ml\nl7711lvRIThkzjrrrKgDPuigg6KHaM3i1Fj8zTffTB+irCFx/EFI7zhq1Kh0QtlsdGbN9tSMBsaJ\nuvmyRSrxV155JZHg9Szi9MDfjm57HooaIgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgRaT6CzpYd1a4zi6+pFteiwGA01i/Fq5KGHHqqOOzaI78L/+Mc/jn1XXnnlQw89NL1IVBBG\nmV0uJ1u4lpuqbKb7p0bX2Jp7VYMnn3zymmuuWd2sDKK5aS5S3Uy0n4zKv7ofJY8v3VeWKn54vXqI\nGLS1teVK9Pbff//0lWZ3b/o4AVI5VvTvrHvQHXbYIZ3z9NNPT5gwIZEzffr0G2+8MZEQU9Eb+Hvf\n+14xpzufhOLRa0Z22mmnmvG6wZEjRz7++OOTJk3605/+NHr06HY9GOn61Kicjne25gnEM1kzXgn2\n69evkWcgsUJlKvoo//KXv6ybVpbw+uuvl015PWvK9NjfjsrZdt3zUFNDkAABAgQIECBAgAABAgQI\nECBAgAABAgQIECBAgAABAgQIECBAgEDrCXSqPvWlf/9LoET95TbbbFMzIUpUa8YrwfgWfGK2kamj\njz66+lnwww8/vO4uxerDuv1TE21Zo6LummuuSRx0lVVWOfDAA4sJb7/9djFYiSSq9G666aZosFq2\nYyUejWwrg7r9UP/1r39ll4q+p+PGjdtyyy2zwW4bR9li+lhlTTeze2233XZ1q42jz252l9w4ZnNt\nZXMJsRlfmY+euLl4Nz8JuaOXbUbVePoFLNtxtdVWq3ThLUtIxNP1qdGTNSpNa+6e7p9a1q615lKJ\nYNSLf/jhh4mE9FSiPtXrWaTryb8dlbPtuuehqCFCgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAoCUFOlWfWrcBXrVnZ9Fu6623LgarkfhueKJdaDWtbBDFiNlPfi+77LLFTqW5faOG\nLBepW5+aqGZ74okn3nnnndyC2c3/+q//Kq7/8ccfx47ZtOx4yJAh2c3s+LbbbstuFsdRw7fhhhtW\n4ok610pCrj41giussMI999xzySWXbLLJJsXFI5K40TXzGw+maxMbXCeasG600Ubp5HR9arrauLJy\n9pGrHqubn4TqcdODQYMG3XnnnT/5yU+GDRuWzszN1i0XzuVnN9NvdLyk2eTsOP3E1q08zi5VNo6O\nsH/4wx/KZhuJJyrLvZ5FwB7721E51S59HooaIgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQI\nECBAgAABAgRaUqBr61PLmqcGZd32jZ1poRrHzX15/Mtf/nL6/j366KNRFJvNKdaPZmdjnCgYvf32\n23PJ2c355ptvr732ykYq46jZ+uyzz4rxSqSslHDGjBnp2srYPT6A3r9//8o6iUNUEor1qRGPrqv7\n7LNPNFKNz7sfeeSR6623XvhEteLaa699xx13nHbaaZV9m/7fun1hGzziDjvskM78y1/+UpYQ53D9\n9deXzVbiK6+88gYbbFDM6c4noXj0RCRu3y9+8YsJEya88MIL55xzzjHHHPOzn/0sqrS33377xF6d\nqU9N909dZpllyo6bfgYS/YDTha3Zw/3qV7/69NNPs5H2jt9///2au3g9a7LUrU/tit+OnvA81NQQ\nJECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQINCSAn07fFXTp0+PnpqJ3eedd94t\nttiiLKHyOe/PP/+8LCHqIHfZZZey2XR81113zSUMHz48F8ltRunSgw8++LWvfa0a70xfxijZrK5T\nHOy+++4LLrhgMX7WWWcVg5VIdABdaqmlas7GaX/00Uc1p6rBjTfeuDquW4dXsz61unt83j3+xWbU\nuc6cOXPAgAExfvbZZ6sJzR3EIZqyYNSnnnDCCYmlonry+eefj+/XF3PuvffeKVOmFOPZSM3mqZHQ\nnU9C9nwaH6/y73/V/Msvv7w6bu7g3XffTSy49NJLl81GiWfZVMQ7855Wln399dfPP//8xCEamYqT\n/OSTT+aff/5cstczBxKbPfm3I06vS5+HooYIAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAgVYV6Hj/1PgCcrrScdNNNy1Wa2UdF1544exmbpz+GnguObdZ7L1Xs+4wt9czzzyTjdTt\nn5pNzo7jk/QPPfRQNpIb77333rlIbEYRZPwrxiuRnXbaqawO74EHHijbqxqPdqfVcd0mgu+88041\nOTGIhqyV4tTISXe4TCxSd6pZK2+44YaLLrpo+nBlLVSvvvrq9I4x+81vfrOY081PQvEEmh7pTP/U\n9J+L6rNUPOcoZywGq5Gy96KaUHdw8sknpw9Rd4VKwtSpU4uZXs+iSU/+7Yiz7dLnoaghQoAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBVBTpen1q3inHrrbdOq6XrUz/88MP07mWz\nQ4YMWWONNXKzq666ai5S3Hz66aezwcR3w7NpxXG030uU4sWyI0eOzO0VVZhHH310LpjdLHaErc5G\n18/quGwQLTKrU9GKtTquORg4cGDNeCLYrCrS4iGa1T81qhi322674vrZyN13353drIyjxvTaa68t\nxrORKP+t+YB185OQPaUuGne4PjWqoqPhbuKsoty5bLZL+6dGreRFF11UduiIf//7348/KYmE6tTH\nH39cHVcHXs8qRXXQY3874gy7+nmoIhgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQaHmBjtenTp48Oa2zwgorpBMWWmihREKH61Nr1sVG78xBgwYlDhdTufrUDpfipSvSRowYUbzw\n00477bHHHis7vSWXXHK33XYrm00frrJXtj51scUWK1uqEl9iiSXSCcXZZlWRdunKO+ywQ3H9bOSe\ne+6JatRsJMbxffa33norF8xtjh49OhepbKZvTdOfhJrn0Nxgh1+KKE5NN+5N1Kemm5t2sn/q6aef\nniic3XnnnSPhG9/4RiOMNc8z/QxUlu1tr2eP/e2I29HVz0MjD5IcAgQIECBAgAABAgQIECBAgAAB\nAgQIECBAgAABAgQIECBAgAABAq0h0PH61Lo98OrWgxbLNLOmH3zwQXaz8fE222xTM3mppZaqGa8G\nX3311eo4Bh3un/rCCy9k18mNN99881xk/PjxJ5xwQi6Y3TzmmGP69euXjWTHdQvgok9ttuR09dVX\nz+5eHA8ePLgYTEe6rj413TszfVa52br1qe+9917ci9xe11xzTS6S24znZO+9984FK5vd/CTUPIce\nEkx0FK6c4XzzzVd2qjXrPqvJffv2rY7bO5gyZcq5555btlesfMYZZ8TsxhtvXJaTjdc8T69nlqgy\n7rG/Hd3wPBQ1RAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAi0qsDsrE8t9qrM\nKne4f+qaa66ZXac6HjBgQHVccxAldNk6yw63inzxxRdrrl8J5trKRqlW9EZNdHCMb4sffPDBZQtO\nmDBh2rRpZbOVeLY7Y0QOOuigeeaZJ7HLrrvumpitOTVr1qya8c4Hs3ekk6sNGzZsrbXWSi9y9913\nZxOi5ef//M//ZCPF8VZbbRUNbovxiHTnk1DzBJoe7PBLUbc+NdE/9ZNPPklcyPzzz5+YTU+9++67\nH3/8cVnOAQccUHl3Vl555bKcbLxYn+r1zPpUx52vT+2i346ufh6qAgYECBAgQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIEeoNAx+tT636juW7/1KlTpyaIO1yfOnTo0JrLLrDAAjXj2WD2\noB3unxptOLNr5sbLLLNMNRKH++pXv/rGG29UI8XB73//+0RryUmTJhV3yUVy9akrrbTSo48+usEG\nG+TSKps/+tGPNttss5pTiWATq0hzR2li/9RYuW4L1Vx96iOPPPL666/nTim3OXr06FykutmdT0L1\noF066HB9arrGNM65rEPw559/nq5+7kx9asIqXv8f/vCHlYSll146kVmdKtanej2rONlBj/3tyJ5k\nbtyU5yG3pk0CBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECrS3Q8U9jd74HXro+\ntW7DxbIbU1afWrd/aiwYBaOLLrpoZeW6pXjRXLPmOaQbmkYXz8pe0atvxx13jFLRmotUgnvttdee\ne+6ZSPjoo48Ss5WpXH1qBNdee+2HHnrozjvvfPbZZ5977rm4lXHVyy67bByrbofRmodrbhVp9hDN\nrXwN8NNPPz27fm78wAMPRJXhvPPOW4lfc801uYTcZlRV7rHHHrlgdbM7n4TqQbt0UPelKDt6okNw\nZZeyjpiJ/qaVHRP1qWVvaNlJZuNxW6OSuxJZfPHF48LrrlZM8HpmSavj2fXbUbxB1VOqO2jK81D3\nKBIIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQItJJAF9anJrp+VgTT9amJsrPE\nDVh44YXLGjHWrU+de+65sx++73ApXroqsXKIqIPcf//9X3nllcS1RAPas88+O5EQU+ljVfYt1qdG\nPC42ijXjX3r9BmebW0WaPWhzK1+33HLLeK4SvTxjaty4cV/60pcq51C3PnXnnXdeaKGFsiecHafv\nTnOfhOxxe+C4bjfisgLWztSndsbhu9/9bnX3eFniD0v671U1OTtIPwCVzF74etatT50tvx3ZG1cc\nN+V5KC4rQoAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKCFBebq8LV98MEH6X3T\nzeqiXWJ6hbrlpOmjF2fr1jzFZ8Sjf2p1x/T5V9OKg3TTxGhZeuihh0YFZLo4NYoX//znP0eJanH9\nbCR9rEpmNEbN7tIV466rT23uylG7XK09LXP4y1/+Upl68sknX3755bK0Snz06NGJhPTdae6TkDiN\nJk51uGi77ttX1i+5blVoxwrZ0ybrrLPOZpttls0ZOHBgdrPBcfoBqCzSC1/P9F/+YEn/7e3+345m\nPQ8NPjbSCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECLSGQMfrU/v3758miHLP\nREKUKKWLkDpWEBbLlh032xu17MSqH3aPhPTpJRIS7Tljr/322++8884r+5p59cQuuOCCbbbZprpZ\nNmikQeOCCy5Ytnuz4s2tIs2eVdNXrtsy9u67766cQN3mqdFTM/qnZs82N+7OJyF36C7a7HB9at0q\n0rL61HfffTd9LYmV677CZSsfccQRuamOlct7PXOMlc3Z9dsx25+HmhqCBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBFpVoOP1qXULtqZPn55Qq9sWse76NRePCqSylet2cIwFszl1\nS0hrnkAE42vgZVMNxn/+859HGWsjyWVfRc/uO0fXp5ZVG2cvsF3jHXbYIZ3/97//vVJWePXVV6cz\n99hjj2jImsjpzichcRpNnOpwfWr2zap5Ph2uT2364x0Ljho1KneSdc8/l1/Z9HrWZKn7t322/HbU\nPNUINvF5KDuEOAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIGWFOh4fWrd/qbp\n5pEvvvhiGrTu+mW7lzVczPZGLds329ivbrO9soS61VdlR6/EjzzyyOOOOy6dU53NnnA1mBvULeCL\ncsxOtint5O65E85uNr0+ddVVV01/UX3GjBn33Xffc//+lz2T4nifffYpBrOR7nwSssftgeO69Z1l\n9alvv/12+nIGDRqUTmjv7De/+c1iT9Z0IXLZIbyeNWXq/m2fXb8dNc+2ic9DzfUFCRAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECLSqQMfrU+vW3qVrjB5++OG06XLLLZdOKJudPHly\n2VTdeLaKrsP9U+vKlJ3GXHPNdcYZZ/zud78rSyjG6x4rGl6W5Vx55ZXrrbdelNBFuVj8d5lllvnK\nV75y1VVXRYFm8UDpyBxUnxoXsuOOO6Yv5+67777mmmvSOUsttdTIkSPTOWXy6b1itgNPQt01m5LQ\n4f6pUR2e7ib7/vvv1zzDV155pWa8GkzUp5ZVkFf3rTk46KCDivFGqtuLe9V9AHrn61mXpYt+O2b7\n81B8QkQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQItLBA3w5fW92unB999FFi\n8fiKemI2plZfffV0Qtns+PHjt9hii7LZRDzKNLP1qXWLmcoS6lZf1TyHBRZY4Iorrthll11qzpYF\n6x4rlo1ix+Luzz777H777Vf9jna0KX3j3/9uu+22FVZY4Y477lhxxRWLe5VFOlDSWrZULt7hKuHc\nOtnNHXbY4bzzzstGcuOoT61biBldFWvCZpeqe3eyydVxx56E6u5dOqjLkjh6vF9lRaix12uvvVZz\n387Up9ZcMB1ce+21N9hgg2JO374d+VNZ9wHona9nj/3tKN735j4PxfVFCBAgQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECLSwQI3KxQavNqoY05npPqZ161NXW2219Ppls+PGjas5FV+x\nrxmvBocNG1Ydx6BuT9Cy+tSFFloou04j40022SQayra3ODVWjvq29PplpWDXXXddtTg1t0JUBG67\n7bbvvvtuLp7Y7Ioq0srhypATJ1N3aptttkmXGz755JNPPPFEep3Ro0enE2K2O5+EuifTlITO1KdG\ng97EOXS4PnWJJZYoW7YDD88BBxxQc7W6tcg19/J61mSZXb8ds/15qKkhSIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQKBVBTpen1q3fvSdd94pU3v55ZenTJlSNluJd7h/all9aqJ3\nY+WISy+9dPaU6vYEveiii7L51XG7Oo8uvPDC55577oMPPrjmmmtWV4hBHD3iRx555Jlnnhnlktmp\n7HixxRbLbhbH2Y6w2dkJEyZkN3Pjf/3rX9FCNRdMbEb71cRsZ6Y6UxBZdtwoG42C4LLZRuJrrbXW\niBEj6mZ255NQ92Rme8Jyyy2XOIeoT61ZPli3f2oT61OjannUqFE1T7Jj9alez5qYs+u3o+YDVvMM\nK8GmPw+JY5kiQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg0HoCHflodUWhbv3o\nq6++WuZVt3nq0KFD65Z2lS0ehW6TJk2KFXIJdetTl1pqqewuZe1FqznvvfdedZwdrLrqqtnNsnF8\n+3v//fc/7rjjBg8enMuJcs+ok7v66qur8cg855xzisWmK6+8cjWn5uDzzz+vGY8K1JrxavDtt9+u\njusOuq4+Nd3otO6JlSXsuOOODzzwQNls3fg+++xTNycSuvNJaOR8Op/TmXLhdH3qZ5999tZbb+Ve\n24kTJ6bbHkfZ6PLLL192Xe2tR4ynYtCgQWWrdSDu9ayJNrt+O2b781BTQ5AAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAqwp0vH/qkCFDovdnwuX5558vm33ooYfKpirx7bffPp2Q\nno12pMWEuvWpuaqpuv1TjzrqqOJRIlK3KjEK9U4//fToYHrWWWcVi1Njhd///vfZ4tSIjB07dtNN\nN506dWruiFHkOmzYsFwwu/nxxx9nNyvjTz/9tG6JcL9+/Yo7lkXaW/hVtk4xPs888xSDnY/ssMMO\nHV4kajTLumzm1uzOJyF36C7a7Ex9aqKQtHK20VY5d9r33HNPLpLbXHbZZfv3758LVjfb+1jut99+\n1X1zg/YuVdnd65ljrGzOrt+O9t7Epj8PNTUECRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECLSqQMfrU0Nko402Srjcd999ZbM33nhj2VQlvtNOO6UT0rM33HBDLiEqk55++ulcMLe5\n4YYbZiN161MHDhyYza+Oo2ni3HPPXd0sDq688srvf//78ZX54lQlUjz/iD/55JM/+clPirukiyBr\n1qdeeumlU6ZMKS6VjYwcOTK7mR63t/ArvVp2tov6p6633nqLL7549kCNj0Nm6aWXbiS/m5+ERk6p\nkzmdqU9N90+NE/vb3/6WO70777wzF8ltph/+aL+ay09sRrX9rrvuWpbwxRdflE2l4+kz7LWv52z5\n7egJz0P6aTFLgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAoJUEOlWfuvPOOycs\nXnnllRdffLGY8PDDD7/66qvFeDUSxZ1f/vKXq5sdGFx33XW579r/4x//mDx5cmKpKLyLmsVswvTp\n07ObxfF8881XDEZk/vnn32STTWpOVYK33nprYva9994bN25czYTzzz8/VHNTw4cPz0Wym3EVxaqs\nP/7xj9mc4jgK9dZcc81ivPsjXdQ/Nb4L3+FnbJ999mnQoZufhAbPanal5d6v4mncdddduWAxkktY\nbbXVcpHs5uuvv57dTI/32muvRM/gDtenej1rss+W346e8DzU1BAkQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAg0JICXVifGl5XXXVVUe2yyy4rBrOR+JD9Iossko20d/zhhx9Gj9Ls\nXnfffXd2sziOQrcFF1wwG//ss8+ym8Vx4sPi6c/HX3vttcXVKpFoRHrQQQeVHXrWrFnF+tTtt9++\nbLVK/KmnnsomPPbYY4888kg2khsvsMACZ555Zi6Y3uxMW830ynXrU8us0svGbPoele0eJYx77rln\n2Wwxnj5Kc5+E4tGbHunMjV5mmWWWX375xClFx+V33nmnmnD//fdPmDChullzsMUWW9SMV4J1K2Kz\n+44aNSq7mRs3Up86c+bM3F6x6fUsmkQkXZ8aCV3x29ETnoeaGoIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIEWlKgU/WpK664Yvrr1aeddtrUqVOzcFF/dtFFF2UjxfHBBx9cDLY3\nctJJJ1XLxeJb9qeeemp6hV122SWXUPPT29mcsv6pkZOuSnzyySefeOKJ7FKV8YwZMw4//PBEzWKk\nRUvO3I5bb711ou9jJD/00EPVXcLkkEMOqW7WHFxwwQV1P8We2zFa3uYiuc2orM1FGtycd95505l1\nSxjLdo/+qR2otoy6uvgQfNmaxXh3PgnFozc90gGx7DlstdVW2c3cOHr9/uEPf6gEox70u9/9bi4h\ntxlNcLfZZptcMLtZt7i5mjxs2LCRI0dWN4uD6h+T4lQ18uc//7k6rg68nlWK7GC2/Hb0hOchi2BM\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAoLUFOlWfGjT7779/Auj999//zne+\nk209+Ktf/Spd9zl06NC99947sWaDUy+99NIRRxwRyZMmTdp3333jv+kdi00xP/nkk/Quiy22WFnC\nBhtssNRSS5XNRvyAAw6YNm1aNuH555/fdtttzz333GywOB4wYEAuGBWr6S6SUfNXMY9Wo1H7G/1T\ncytkN48++ugO+EelYHaR4vi5556L6ttivG6kbifdF154oe4iNROGDBkyYsSImlOJ4D777JOYLU51\n55NQPHrTI59++mln1kzXp8bKJ5988rhx4+LV++lPf/r444+njxXtMNOPR+P1iPHMp5/hRp7eqLwv\ndib2epbdxO7/7egJz0OZhjgBAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACB1hOo\nU1ZY94IPO+ywgQMHJtIuvfTSqP2aOHFi5Fx22WW/+93vEskxFUWldVtmpleozp5//vnR6jLqRG+7\n7bZqsOYgvjy+4YYb5qbSdbSRPGjQoNwu1c2odYtOqNXN4mD8+PG77rrr3XffHb1d4zvmUTa61lpr\nxaCYmY2svPLKa6+9djZSGac/TT558uToDRndKKOeb8yYMcXdq5EopowCwepm44O6/VOjrvGBBx5o\nfMFq5qKLLlod1xxEJ9oog645VTeYbm5a3L1v37477rhjMZ6IdPOTkDiTpkw9/fTTnVkn2p2mO7BG\nCfWWW24ZVae//vWv6x5ot912S+c0Xo84evTo9FKN1KdGIX7N98vrWdO2+387esjzUFNDkAABAgQI\nECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDrCXS2PjUKQKO2Mu1y1VVXLb300ssvv3z0\nnmxra0skL7DAAoceemgi4eWXX07MFqc++OCDbPfWYkIlctRRRxWn6vZPTdSnxmrB0r9//+Ky1chf\n//rX7bbbLhaJ4tELLrhg1qxZ1amywc9+9rOaU1Fdt8QSS9ScqgSjFeWZZ54ZTUwTOVFJGd1b61aa\n1lyhX79+NePZYHTEzG42OK5bnxr397777mtwtVxae+tT11133fnmmy+3SN3N7nwS6p5M3YR0/Wg0\n3637XiQOEcXiX/nKVxIJMRUvwvTp09M5MRuPa7oBZ+Q08lhGWnTSjTubPmIj9amxQs2uIhEfAABA\nAElEQVRH0etZ07abfzviHHrI81BTQ5AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIBA6wl0tj41RL73ve/FN6zTNFFE+Nprr6VzYjaady622GKJtBtvvDEx27GpqJ2t2ev0o48+Si+Y\nrk9dfPHF99133/QK7ZqNvpJljRij7ipd19vIgY4//vj111+/kcxiTiMtbx988MErr7yyuG86Urc+\nNXaPNrTpRcpmhw8fXjZVM7755pvXjKeD3fkkpM+kkdn0uzx16tRf/OIXjaxTlnPkkUeWTbUrHrXd\n8eamd1lwwQXTCZXZRp7eRkpmY7Wa1b1ez7K70J2/HXEOPeR5KNMQJ0CAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQINBiAk2oT42eiL/5zW8677L11lvXrBOtrvziiy8+//zz1c1mDaIp\nabHRaRSnpjsmRiFaupQ2Tu9Xv/pVuoa18UuI9qh//vOfa1a/VRY54ogjGinlLDtiVPsdd9xxZbN1\n49H4tm5OJPzgBz/4+OOPG8ms5sSF123petddd1Xz2zWIO9hIbWJ1zbq9P6uZuUF3Pgm5Q7d3s+6t\nPP3005999tn2LlvNj561q6yySnWzw4N4luru22A9Yt11IiH916C6wogRI6rj7MDrmdWojrvtt6Ny\nxJ7zPFQFDAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAi0sEAT6lND51vf+tZu\nu+3WGaYBAwZceOGFifrLWPy6667rzCFq7rvxxhv/53/+Z3HqvffeKwazkSWXXLJv377ZSHEcjTPP\nOuusYry9kcCJa48jJnaMOs5zzjknkZCYGjp06GWXXRYfTE/kpKcaLPyaMGHCueeem14qNxv1oyut\ntFIumNuMcsm33norF2xkM563uEeNZEbOwIEDt9pqqwaTc2nd+STkDt3ezbq3MjqJfuMb3/j888/b\nu3IlP8yPPfbYju1b3SvKqbfffvvqZtlgoYUWKptqb3yNNdaou8uQIUOiELlmmtezJksEu+e3o3L0\nnvM8lGmIEyBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEGglgY6XJOYULrjggnQB\nZS4/uxkNMs8///zll18+GyyO67bJnGeeeX74wx8WdyyLrLnmmrfcckvN9px161Mb7AH59X//KzuB\nRuLxvfWbb7550003rZschxo1alTdtFxCrP/f//3fUT+Xi7drs/Eqz0suuaRdK0dyI6WBHe7oWfPu\n1zzDsG1Xs9XcIt35JOQO3a7NutXAsdrTTz991VVXtWvZbHJUhHemnD1e81NPPTW7YNk4Crvnm2++\nstl2xeN699xzz8QuO+2006OPPrr00kuX5Xg9y2S64bejcuge9TyUaYgTIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQaBmBptWnRoXi/fffv9pqq7WXpn///v/zP//zzW9+s+6O8TX2\ndE58g3v33XePDp2N1BGusMIKd9xxx6KLLlpzzSlTptSMV4Mrr7xydZweREVmnFU6p2x2ueWWu/32\n20eOHFmWkIufffbZ0RE2F0xsLrzwwoGwxRZbJHIamYqyvHTv2+oikyZNqo4bHJR9Mz27+5tvvpnd\nbHwc5bmNJMfVxSfaG8lM5HTnk5A4jfTUqquumk6ozHamPjVWiJLE6DbayIGKOaeffvo666xTjBcj\ncdfiDSrGc5FGapT79et35ZVX/uEPf9h3332HDx9e6Z0cr0+cyVFHHRXl0VFEPmzYsNzKuU2vZw6k\nstkNvx2VA/W056GmhiABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBlhFoWn1q\niETF57hx4+LT243rRIHXnXfeueuuuzaySyM9F+MLzoccckhUym600UZla0YXveOPP/6JJ55INHyN\nL9GX7V6JN9g/NZKjWDYalI4ePTq9YG52rbXWOuecc5577rl2FY+G51//+tevfvWrudVqbg4ePPie\ne+7ZfPPNa862K7jAAgtssMEGjewSmY2kZXMaqV3ucLHjiiuumD1W2Xj//fePqsSy2Qbj3fkkNHhK\nxbT11luvEZOBAwcW9208EiWJUeG6yCKLNL5LJTN6rx555JGN79VIuW3i70D2QHPNNddhhx32pz/9\n6amnnvr4448/+uijqVOnjh8//re//e3qq6+ezSwbez3LZLr6t6N63B71PFTPyoAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBASwo0sz41gKIA69Zbbz3rrLPqlm9GkegPfvCD6DvY\neP3l3nvv/eMf/zjRG/XAAw+sfAs+ilMffvjhKJY99NBDt95662jAGdWTm266aVQZnnzyyS+//PKJ\nJ56YLrCrW5/ark6x0W3x0ksvveGGG+rWOEbN6EEHHRQ1pv/4xz/i5KO5bHsfu/ig+TXXXPPLX/4y\nSgDL9o1KuwMOOODxxx9vpDVp2SK5+P/9v/83F6m5+a1vfatmPBGMZ2nnnXdOJMSdbbzFbG6d+Op6\nLlLcjEfo97//fTHegUh3PgkdOL3YJc4w3pF4QhK7x2y8SomERqbixY+XtF3vUfzFuOiiixpZvJqz\n3377Vcdlgy996UtlU2Xx+CsUf8HKZhNxr2cZTpf+dlQP2tOeh+qJGRAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBBoPYE+bW1tXXFVsewtt9wSHzR/6aWXXn311ffeey+OEkVdyy+/\n/EorrRQFhYcffngHuifGIm+88caNN9742GOPvf322x9++GFE4uPyyy677I477tjhIsWiwMEHHxyf\nIC/GK5H4TvSUKVMWXXTRsoSy+BdffBFVqg888MCjjz4aXRinTZsWFahhsvLKK0eh3le+8pWQSZcG\nlq1cjH/66adjxoy5+uqrox430OLQ88wzT7QPXH/99Y8++ui6lbLFBetGYtkzzjgjkXbCCSf87Gc/\nSySUTcW1RHVy0OUSwiqaxUaj2SWWWCI31eBmPKjHHHNMlJ9+9tlnNXeJrr3xYff4vHvN2Q4Hu/NJ\n6MBJxtfqR40aVXm/irufdtppca+L8Q5EPvjgg2OPPTaakkZH0sTu8UcjDtpIB+XiIlHSGqXeM2bM\nKE5FJOpxH3nkkXXWWafmbNcFvZ5ltl3321E5Ys98Hso0xAkQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBAjMuQJdVZ+aE4lCt6jFjI+wN6v4Mrd+0zejuePf/va3smWjS+szzzxTNtsD\n49OnT3/nnXeiiDPRfbYppx3fOo/WrVG8m1st6v+iDDRqTHPxxjdnzZp1/fXXR11vlCbHsxRFvdFX\n9Zvf/GaU9ja+SFlmtMuNqrXo5vv8889HOe/MmTOjfnezzTbbfPPNd9999yhhLNuxheNxE//4xz9G\nlfYrr7xSucz5559/4403/o//+I/vf//7zb3wqFIdO3bstdde+9prr8W9CP9YP6rABw0atM0220RZ\n6h577BHV1R0+6EMPPRQV508//XRuhTjEb37zm6OOOioX7+ZNr2cCvCt+O3r485DQMEWAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEBgDhLopvrUOUgkTjUa+MXHpsuaR0ZCfKT+vPPO\nm7MuqtvONhqR3nbbbVHlOWnSpAUXXDBa20Zx6ogRI7rtBByouQKffPJJlI1G/9Eoy+5MkWiDZxWF\nyG+99VYkRzl1Ew8X53/ppZdefPHFjz/+ePRqHThw4EYbbXTSSSdFx+IGT6w10ryelfvoeWiN59lV\nECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQI9GQB9ak17s5zzz0XpXg1Jv43FB98\n//rXv/6/W/6XAIE5SSBKz6M+NZqnzkkn7Vy7TMDz0GW0FiZAgAABAgQIECBAgAABAgQIECBAgAAB\nAgQIECBAgAABAgQIEOjVAr3xw+V1b/h1112XyBkwYMAuu+ySSDBFgEBPFoi2vj359JxbNwt4HroZ\n3OEIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgR6icBcveQ6G7/MyZMnn3XWWYn8\n3Xfffb755kskmCJAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQI9GaB\n3l6fOm3atIMOOmjJJZdcYIEFlllmmVVXXTXGEydOTDwT++67b2LWFAECBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBAgQIECglwv07eXXf9ppp1144YUVhE8++aSuxmabbbb99tvX\nTZNAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEOi1Ar29f+ptt93W\nrnv/61//ul35kgkQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECvU2g\nt9enrrDCCo3f8n333XfkyJGN58skQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECPRCgT5tbW298LKrl/zkk09uscUW06ZNq0bKBhtssMH999/fv3//sgRxAgQIECBAgAAB\nAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBEOjt/VNHjBjx17/+dd11100/DZtv\nvvkNN9ygODWtZJYAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgEAK9\nvT41CKIx6iOPPHLhhRdGI9U+ffrkHoshQ4aceOKJ995779ChQ3NTNgkQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBIoCfdra2orRXht59dVXH3vssVdeeeXdd99daKGF\ntt5660022aRYtNprfVw4AQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQKCugPrUukQSCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE2iEw\nVztypRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBCoJ6A+tZ6Q\neQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgfYIqE9tj5ZcAgQI\nECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBegLqU+sJmSdAgAABAgQI\nECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEGiPgPrU9mjJJUCAAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQqCegPrWekHkCBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIH2CKhPbY+WXAIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgXoC6lPrCZknQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBBoj4D61PZoySVAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIEKgnoD61npB5AgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgACB9gioT22PllwCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAIF6AupT6wmZJ0CAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQaI+A+tT2aMklQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBCo\nJ6A+tZ6QeQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgfYIqE9t\nj5ZcAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBegLqU+sJmSdA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEGiPgPrU9mjJJUCAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQqCegPrWekHkCBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIH2CKhPbY+WXAIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgXoC6lPrCZknQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBBoj4D61PZoySXQcgLTpk1ruWtyQQQIECBAgAABAgQI\nECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECAwmwXUp87mG+DwBGajwBNPPHHOOefMxhNwaAIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBBoSQH1qS15W10UgYYExvz7X0Op\nkggQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQMMCfdra2hpOlkiAQOsI\nzJgxY9iwYZMnT/773/++4YYbts6FuRICBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQmN0C+qfO7jvg+ARmk8DNN98cxalx8LFjx86mU3BYAgQIECBAgAABAgQIECBAgAABAgQI\nECBAgAABAgQIECBAgAABAgQIEGhNAfWprXlfXRWBugIXX3xxJeeKK66YPn163XwJBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgQQH1qQ1CSSPQUgLROfXWW2+tXNJ77713\nww03tNTluRgCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQmK0C6lNnK7+D\nE5hNApdeeumMGTOqBx8zZkx1bECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBDop0Ketra2TS9idAIE5TmDEiBFPPfVU9bT79u37xhtvDBkypBoxIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECHRbQP7XDdHYkMKcKjB8/PlucGpcxc+bMyy67bE69\nHudNgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAj1MQH1qD7shTodA1wuM\nGTOmeJCawWKaCAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQqCvQp62t\nrW6SBAIEWkZgxowZSy655JQpU4pX9Oijj66//vrFuAgBAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIEGiXgP6p7eKSTGCOF7jppptqFqfGhWmhOsffXRdAgAABAgQIECBAgAAB\nAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBniGgPrVn3AdnQaC7BC6++OKyQ11xxRXTp08vmxUn\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQINCqhPbRBKGoFWEHj77bdv\nvfXWsit59913b7zxxrJZcQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\n0KCA+tQGoaQRaAWBSy65ZObMmYkrGTt2bGLWFAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQaESgT1tbWyN5cggQaAGB4cOHP/3004kL6du374QJEwYPHpzIMUWAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBNIC+qemfcwSaB2BRx99NF2cGpca3VUv\nu+yy1rlmV0KAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECs0NAfersUHdM\nArNDYMyYMY0ctsG0RpaSQ4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQK9\nU6BPW1tb77xyV02gVwlMnz596NCh7733XiNX/dhjj6233nqNZMohQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQJFAf1TiyYiBFpQ4Prrr2+wODUuXgvVFnwCXBIBAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgS6UUB9ajdiOxSB2SfQrpLTK664YsaMGbPv\nZB2ZAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBOZsAfWpc/b9c/YEGhF4\n6623br/99kYyKzlTpky56aabGs+XSYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIEsgLqU7MaxgRaU+CSSy6ZNWtWu66tXf1W27WyZAIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBBoeYE+bW1tLX+RLpBALxdYa621nnnmmXYh9O3b980331xiiSXatZdk\nAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECAQAvqnegwItLjAI4880t7i\n1BCZOXPmZZdd1uI0Lo8AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEukZA\nfWrXuFqVQI8RGDNmTMfOZezYsR3b0V4ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAg0MsF+rS1tfVyApdPoIUFPv/886FDh06dOrVj1zh+/Ph11lmnY/vaiwABAgQIECBAgAAB\nAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgR6rYD+qb321rvwXiFw/fXXd7g4NYA63Hu1V+C6\nSAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoEVCfWgIjTKAlBDpZYHr5\n5ZfPmDGjJSRcBAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAh0n4D61O6z\ndiQC3SwwadKkO+64ozMHnTx58s0339yZFexLgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAAB\nAgQIECBAgAABAr1QQH1qL7zpLrm3CFxyySWzZs3q5NWOHTu2kyvYnQABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgR6m0Cftra23nbNrpdALxFYc801n3322U5e7DzzzPPmm28O\nGjSok+vYnQABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgR6j4D+qb3nXrvS\n3iXw97//vfPFqUE2Y8aMyy+/vHfZuVoCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQ6JyA+tTO+dmbQE8VGDNmTLNOrYlLNeuUrEOAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECPVmgT1tbW08+P+dGgEAHBD7//POhQ4dOnTq1A/vW3OWJJ54YMWJEzSlB\nAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECCQE9A/NQdik0ArCFx33XVN\nLE4NES1UW+GxcA0ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDoLgH1qd0l\n7TgEulGg6eWkl19++cyZM7vxChyKAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBOZgAfWpc/DNc+oEagpMnDjxzjvvrDnV4eA777xzyy23dHh3OxIgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIBArxJQn9qrbreL7RUCl1xyyaxZs5p+qU3vydr0M7QgAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECPQQgT5tbW095FScBgECTRFYY401\nnnvuuaYslV1knnnmic6siy++eDZoTIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIEigL6pxZNRAjMwQIPP/xwVxSnhsiMGTMuv/zyOZjGqRMgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIBAdwmoT+0uacch0C0CY8aM6brjjB07tusWtzIBAgQIECBAgAAB\nAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQItIxAn7a2tpa5GBdCoJcLfPbZZ0OHDn3//fe7\nzuGpp54aPnx4161vZQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBBoAQH9\nU1vgJroEAv+/wHXXXdelxalxmC7tz+pGEiBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAAB\nAgQIECBAgEBrCOif2hr30VUQ+P8Edtxxx9tvv71LLQYPHjxhwoS+fft26VEsToBA4wIzZswYP358\nvJhTpkx59913oy36gAEDFl988bXXXnuNNdaYay7/R5TGLXtLpmemt9xp10mAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBGargPrU2crv4ASaJ/Dmm28us8wyX3zxRfOWrL3SDTfcsMsuu9Se\nEyVAoLsEPvroo4svvvimm2568MEHP/7445qHXW655X7xi1+MHj265qxgbxPwzPS2O+56CRAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQOD/Ze++w6Uo0sbvPyw555x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YHyQzrDx64cKF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PBhS4/j5erVqx37HTv1n+54u6XTNT/15MmTllsUl4o8Lck31U+9evfdd+vUqRPsQX/8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\n7Nlz+vTpRmewhuTUZ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CBAgAABAgQIECBAgAABAgRKX0A+tfT3yAoJ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\ntOi5554raCCNykdAPrV83pWZEiBAgAABAgQIECBAgAABA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ECAAIFkAfnUZBsjBAgQIECA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\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qsVCQ3th5553TC2K0Ocm84m2086aKl2pC+9Zbb40/rlNPPfXJJ58szxN//vnn8dDYe++9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\nAQIECFwLDFI9DjwpfRfmAAAAAElFTkSuQmCC\n"
        }
      },
      "id": "54f115ad-0dbe-49d2-8ac0-18d6d6aed65e"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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b6nCw/fv3y759+4LeQ0sPXbp0ccNh1KhR1pagdPCqdpeOJAIBACJox44d0r59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\nRK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Example board for the 8-queens problem\n",
        "board = [0, 4, 7, 5, 2, 6, 1, 3]  # Represents one valid solution for 8-queens\n",
        "\n",
        "display_n_queens(board, 5)"
      ],
      "id": "6686b919"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "``` python\n",
        "state = [0, 4, 7, 5, 2, 6, 1, 3]\n",
        "```\n",
        "\n",
        "## `create_initial_state`"
      ],
      "id": "0c6350e0-bdb6-47d0-982f-e80cd96b5457"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "import random\n",
        "random.seed(7)\n",
        "\n",
        "def create_initial_state(n):\n",
        "\n",
        "    \"\"\"Generates a random initial state with one queen per column.\"\"\"\n",
        "\n",
        "    return [random.randint(0, n - 1) for _ in range(n)]"
      ],
      "id": "ca30c031"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "**What** do you think?\n",
        "\n",
        "## `create_initial_state`"
      ],
      "id": "cd3c3ca4-4f65-41b2-b7a4-ae3f557b653c"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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CIV9zGZUrV841b97cJQuuQjjfJblmI3zGOd95XT87Ozs71+3S8juzYWZmpksW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\nF72/ZAA3hBF8AAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "state = create_initial_state(8)\n",
        "display_n_queens(state, 5)"
      ],
      "id": "67f01d6a"
    },
    {
      "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": [
        "state "
      ],
      "id": "d8c007e2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Permits two queens in the **same row**? **How** can this be resolved?\n",
        "\n",
        "## Representation of 8-Queens\n",
        "\n",
        "$8 \\times 8$ chessboard.\n",
        "\n",
        "- **Unconstrained Placement**: $\\binom{64}{8} = 4,426,165,368$ possible\n",
        "  configurations, representing the selection of 8 squares from 64.\n",
        "\n",
        "- **Column Constraint**: Use a list of length 8, with each entry\n",
        "  indicating the row of a queen in its respective column, resulting in\n",
        "  $8^8 = 16,777,216$ configurations.\n",
        "\n",
        "- **Row and Column Constraints**: Model board states as permutations of\n",
        "  the 8 row indices, reducing configurations to $8! = 40,320$.\n",
        "\n",
        "This underscores the significance of selecting a good representation.\n",
        "\n",
        "## `create_initial_state`"
      ],
      "id": "ee142783-959e-4e6f-b79a-c9f9c1be40a2"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "import random\n",
        "random.seed(7)\n",
        "\n",
        "def create_initial_state(n):\n",
        "\n",
        "    \"\"\"Generates a permutation of numbers from 0 to n-1 as the initial state.\"\"\"\n",
        "\n",
        "    state = list(range(n))\n",
        "    random.shuffle(state)\n",
        "\n",
        "    return state"
      ],
      "id": "36ff14c3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `create_initial_state`"
      ],
      "id": "69e21e2c-3718-4fa1-bf08-2c0af623e22e"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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O+4E3ELylBycQ+vXrZ6UDbZsoX7483wdyDYEAZDEQlE5mt3v37qBA0BHH3377rdt+cKZA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\nAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "state = create_initial_state(8)\n",
        "display_n_queens(state, 5)"
      ],
      "id": "e7ba5ab8"
    },
    {
      "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": [
        "state "
      ],
      "id": "ae5be971"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `calculate_conflicts`"
      ],
      "id": "a62dbcb9-fa66-42cf-aeda-9f68dc0c3519"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [],
      "source": [
        "def calculate_conflicts(state):\n",
        "\n",
        "    n = len(state)\n",
        "    conflicts = 0\n",
        "\n",
        "    for col_i in range(n):\n",
        "        for col_j in range(col_i + 1, n):\n",
        "            row_i = state[col_i]\n",
        "            row_j = state[col_j]\n",
        "            if row_i == row_j:                 # same row\n",
        "                conflicts += 1\n",
        "            if col_i - row_i == col_j - row_j: # same diagonal\n",
        "                conflicts += 1\n",
        "            if col_i + row_i == col_j + row_j: # same anti-diagonal\n",
        "                conflicts += 1\n",
        "\n",
        "    return conflicts"
      ],
      "id": "ad63b52b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `calculate_conflicts`"
      ],
      "id": "57dd201d-6fc5-4bb0-880a-91809b8e5189"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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O+4E3ELylBycQ+vXrZ6UDbZsoX7483wdyDYEAZDEQlE5mt3v37qBA0BHH3377rdt+cKZA\n0DaEjRs3WulAdenShe8CuYpAALJAp5rQEcp6oteJ60JvMasn/tASgrYfOCOUnRKCth1ogOi8Rzfd\ndBPfBXIVgQBks5Tw2muvpbo1obYjhJYQtP1ASxNKA0CDwCkdtGrVSkqVKsV3gVxFIADZDARtJB49\nerTdFc2xaNGioCmutU3BW12kk+C98MILFgqK3kXICwgEIIsuu+wy6xmkXn31VSlevLj7mjYST5s2\nLaiE4A2ExMREGT58uLusDcpAbmO2UyCLvCOJf/vtt1Svf/bZZ0Gzpc6ePTvo1pteGhBAbiMQgGwq\nWrSolC1bNuxrJUuWDFrW+yZ46T2Yw4UJkBsIBCCbbr75ZpvsLis0DFJSUvgOkCcQCEA2ae8h7T6a\nFd6eSEBuIxCAbFq8eLH9A/yOliwAgCEQAACGQAAAGNoQgGzq1KmTO+tpZv3+++/SuHFjvgPkCQQC\nkE06CllnLc2KnTt3cvyRZxAIQHb+AyUlyZdffmn/skqnv+D+ycgLCAQgG44ePcrxQ8ygURkAYAgE\nAIAhEAAAhkAAABgCAQBgCAQAgCEQAACGQAAAGAIBAGAIBACASQgEAgFJx5EjR6RIkSJSoEABqV27\ntvjF+vXr5dixY5I/f36pWrWq+MXmzZvlxIkTUrBgQalVq5b4BcebY55R/I1H16ZNm+TkyZNy+PBh\nKVy4cM4EAgDAv9ILhKTMzuxYrVo18QuuQjjesVyyUfyNc7wzYt26dXL8+PF018tUIKSkpMjEiRPF\nL9q3b2//2bXaZcWKFeIX9evXl5UrV9rJiePN8U4Lf+PBTp8+bSe/MmXK2L+c1t6n55R69erJqlWr\n0l2PRmUAMWHv3r3SsWNH+/enP/1JRo4cmdu75DsEAgBfmTJlivTo0UNefPFF2bdvn/v8J598YqUD\nderUKRk8eLBVBTqmTp1q27300ktB2+F/uEEOAN/Qk/pTTz3lLv/yyy8yZMgQe1yiRImgdbUjjN6N\nztnun//8p/vamjVr5N13343afvsFJQQAvrFo0aKg5cWLF7uPO3XqJI8++qg91jr+9957zzrChNvu\nxx9/lAx0sIw7BAIA32jTpk3Q/afbtWsX9PpVV13lBkKdOnXc55s3bx60nrYxcB/r1AgEAHmWXskP\nHz7cLQlceumlMmrUKGnSpIkt33vvvan62Ttjp7w0EM477zwrMfz973+Xfv362fO7du2Sjz76yKqU\njmegW2asow0BQJ40duxYefbZZ93lvn37SocOHeT888+Xxo0by7x58+SHH36Qtm3buuscPHgwKBgc\nOvJfu4tWqFBB7rjjDntu586dcvPNN8vu3bvdRulhw4ZJPKOEACBPGj9+fNCyd0xOcnKy/Vy4cGHQ\nOocOHQobCDpmQEsNlStXdp+bOXOmGwZOO8PGjRslnhEIAPKks88+O2i5evXqGQ6E0CojZ70qVaq4\nz9WtWzeoHSE5OVkqVaok8YwqIwB5kvYY0m6js2fPlooVK1rdv6NkyZLu1B2///67VQWlVUIIFwgN\nGjSQK664wtoptI3hjjvusAk84xklBAB5kl6x9+nTRx544AGbrTP0at7hLSWEKyFo+8GSJUtSBcKW\nLVvku+++k+uuu0769+9vU8bEOwIBQJ6mV+8HDhyQcePGhQ2E77//3n0croTgtB+EBsK///1vmxJa\nu7LivwgEAHmaTlJ34YUXWvdTvdpPq4Tg9DLSqSucaSu8rzuBoKWDyZMnS7ly5aRhw4ZR+yx5HYEA\nIM9r0aKF7Nixw+YxUjpVuXOPFj25b926NVXJwHnsBEKxYsXcIBk6dKiVDlq1aiWJiZwGHRwJAL4I\nBKXjBHSK6zNVGzklBCcQwrUfaHhMmjTJHlNdFIxAAJDn6b1YdCoKHScwffr0oJ5G3lKA04bgBIK3\n/cAZg+C0HWhA6CA3/A+BAMBXpQSdtO5M7QjeQNAgCG0/oHSQNgIBgC/ohHTq559/tmkrvIGwbds2\n+fXXX1OVEEIDwWk7UFQXpUYgAPDNbSCdkcR6LwNvlZEz9YQ3EPbv3++2HyhtPHbaDmrXrh00Gyr+\ni0AA4BuXXXaZ/dQrfx2s5qUNy95A0GXvALVp06a53VabNWsWtX32EwIBgG94p5aYP39+0GsaAN5u\np3Pnzg16XWdGdRQqVCii++lXzGUEwJdC73im4xS8nLEJZ1ofqREIAHznq6++yvJEdE8++WSO70+s\nIBAA+I72NHLul5xZOi8SwiMQAPhOjx49srW9TnuN1GhUBgAYAgEAYAgEAIChDQGA77zyyitZblTW\n6SsQHoEAwHeaNGmS5W6n3juvIRiBAMCXgZAdTHsdHoEAwDfuvfde6dixY7bfp2zZsjmyP7GGQADg\nG+XLl7d/iAx6GQEADIEAADAEAgDAEAgAAEMgAAAMgQAAMAQCAMAQCAAAQyAAAExCIAN3nj5y5IgU\nKVLEZhesVq2a+MXmzZvlxIkTUrBgQalVq5b4xfr16+XYsWOSP39+qVq1qvgFx5tjnlH8jUfXunXr\n5Pjx43L48GEpXLhwzgQCAMC/0guETM1lpNPN1q5dW/yCqxCOdyyXbBR/4xzvjNi0aZOcPHky3fUy\nFQg1a9aUFStWiF/Ur19fVq5cadUuEydOFL9o3769/UfXkxPHm+OdFv7Go6u+T88p7dq1kw0bNqS7\nHo3KcaRv375SsmRJOeuss+Stt97K7d0BkMcw/XWM0eqPUaNG2Yn/rrvukqJFi9rz8+fPlz59+rjr\nPfjgg9KmTRupUaOGLf/666/ywQcfSHJystx5553udgDiB4EQY2Fw6aWXyu+//27LI0eOlHnz5klC\nQoLs3bs3aF3tS+A8p9tddtllsm3bNlseNmyYLFiwwLYDED+oMoohU6ZMccPAKRWsWbPGHrdq1cpK\nCPny5bNeBi+99JJcdNFF9trkyZPdMFALFy60elIA8YVAiCFNmzaVxMT/faUpKSnWEUDp1f7TTz9t\nPWl0LMkTTzzhrteoUaNUtxf0W28bANlHIPiYjg+ZM2eO1f+rCy+80Ho+XH311bb82muv2eA2x6lT\np6wf8sGDB4PeR6uLbrvtNnt8zTXXyOeffy6FChWy5eXLl8uPP/5oVUwAYhuB4FM68lCv4q+66iqp\nXr26DBkyxJ6/4YYb5NFHH7XHy5YtC9rmwIED9jM0EJRT1fThhx9Kw4YN7XGXLl3k/PPPt+UWLVpY\nX30AsYtA8KnBgwe79f6nT5+WXr16ua+VKVPGfs6cOTNom/3799vPQ4cOBT2vQ9q/++47KV68uFUX\nqZ9++knGjBnjrjNr1iyZNm1aBD8RgNxGIPhU6dKlg5aLFSuWKhD0JK9zIoWWEPRKX0PAoT2KtPrJ\n6YKqSpUqFdQeoZywABCbCASfeuSRR6znkE4nogEwfPjwVIFw9OhR62kUGgih1UZ69a+cBmilIzF7\n9uzpPn7mmWekSZMmEf5UAHITgeBTOoBMG38//fRTO7mfffbZYa/uvdVGTpVRRgJBG5FnzJhh76vz\noPTu3TvinwlA7iIQfK558+Y2rmDgwIHucxoGGhjek/2ZSghO+0FoIEyYMMHaETp37hyVzwEg9xEI\nPqf3qLj++uvl7bffDhqN7FQbaZWRVh2dqYTgtB8opw1BSwc675EiEID4QSDEAJ0dVa/+vRPWOYGg\njco6fUVoCcHpaeQtQTglBB3LoKWDCy64QOrVqxe1zwEgdxEIMaB169Y2kGzQoEHu1b4TCN52hHAl\nBCcQdCSzjmegdADELwIhBujMpC1btpSdO3fKe++9lyoQnJN+aBuCt/2gUqVKFiqTJk2SJUuW2HNU\nFwHxhUCIoWoj9corr9idkbyBoO0EOmVFaAkhXPuB03ag01loiQFA/CAQYoTeEUlnMtUuoqNHjw4K\nBB2I9u2336YqIYS2H2jpYPHixe60FQDiC4EQI3QUsc52ql588UUbi+ClJ//QEkJoIDilA+22esst\nt0Rt3wHkDQRCDNHup0rvZaAlAi9tWPaWEHbv3u22HzgT4emspkpHJFeoUCFq+w0gbyAQYoi3VPDJ\nJ58EvaY3vdm6dau7/PXXX7vtB2rq1KnuY291E4D4QSDEKO+kdkobmp27p6mlS5emuT6A+MM9lWOQ\nTmNRt27dLG07YsQI65EEIP4QCDFIRxc7N7nJrOnTp8v69etzfJ8A5H0EQoyOXM6OG2+8Mcf2BYB/\n0IYAADAEAgDAEAgAAEMbQgzq1q2bVK5cOUvbzp49O8f3B4A/EAgx6P7777fJ6bKiV69esnz58hzf\nJwB5H4EQg7p27Wq31cyKHTt22NQVAOIPgRBDmjVrJkOHDs32+zDtNRCfCIQYcs4559g/AMgKehkB\nAAyBAAAwBAIAwBAIAABDIAAADIEAADAEAgDAEAgAAEMgAABMQiAQCEg6jhw5IkWKFJECBQpI7dq1\nxS/0VpB68/j8+fNL1apVxS82b94sJ06ckIIFC0qtWrXELzjeHPOM4m88ujZt2iQnT560+6WnNc9Z\npgIBAOBf6QVCpuYySkpKkmrVqolfcBXC8Y7lko3ib5zjnRHr1q2T48ePp7tepgIhJSVFJk6cKH7R\nvn17+8+u1S4rVqwQv6hfv76sXLnSTk4cb453Wvgbj672Pj2n1KtXT1atWpXuejQqA0hVRfzoo49K\n48aN5b777pPdu3dzhOIE018DcWrjxo3y008/ScOGDaVKlSru808//bQMHDjQHi9atEgOHDggY8aM\nCWqgXLJkSart4H+UEIA49Pnnn0vdunWtCqROnTry5Zdfuq8tW7YsaN2lS5eG3U57HE6bNi2q+43I\nIhCAONS7d29rSFdHjx6VF1980X2tT58+UrlyZXtcsmRJefbZZ4O20/WVbt+/f/+o7zsih0AA4lDo\n+JYaNWq4jy+99FJ59dVX3XDo2LGj+5oTFN6OJogdBAIQB06fPi379+93l/WE36FDBylatKiUKVNG\nBgwYELS+thuogwcPBj3/yiuv2ADVhIQEadGiRVDJ4tChQ5KBYU3IwwgEIMZ9+umnUqFCBav+admy\npZ3sK1WqJOPHj5fmzZvLnj17LDC8nPAIDYQSJUrYKPrWrVvLjBkzrMSgvZD0fYoVK2bLX3/9dVQ/\nH3IOgQDEuLvvvlt27txpj7/66it5/fXX3de0dKBhMGfOnLAlBL3q95o1a5aVArxVTFpqmD17tj3e\ntm2bdO/ePaKfB5FDIAAxTE/2TuOxw1t1pIHgnOgzUmXkrFezZk33OaeR+UzL8A8CAYhhiYmJ1kso\nX758tqxdRh944IFUgTBz5swMVRmFC4THH39cypYta4+1TeLll1+O2OdBZBEIQIzr0aOH7NixwxqB\n9Z+3Z5ATCDpAzTsiOVwJQaudfv75Z3vsrTLSEsHevXvlkUcesffo0qVLVD4Xch6BAMSB0qVLyy23\n3CL/+c9/ZPv27akCQdsFvO0I4UoITvtBaAnhueees6mVu3XrZj2Q4F8EAhAnbrzxRpvxctCgQakC\nIbTaKFyjslNdpNtobyO1YcMGGTlypJx77rnSoEGDqHwORA6BAMQJ7Xqqg87eeust2bdvX5qBcKYS\nwplKB507d47KZ0BkEQhAHNE5iPRkr6EQGgjLly+XXbt2hW1D0PYDnZLd236gpYMRI0bYYwIhNhAI\nQBzR0clKq420MdgbCNo+4IwnCC0heLulOiWEfv36WelAZz3VCfLgfwQCEEf0xK31/drrSBuY9XaK\n3tvjOtVG3jYEDYrQQNCps53SAb2KYgeBAMRhtZHS8QJ6hR/ajqBTUziD2TQM9D68oYGgpQNdT+c0\nuvXWW3PhUyASCAQgTquN9Cpfb3zjDQRtJ1i7dm3Q+tpW4LQfKA2B4cOH2+MrrriCm+TEEAIBiDON\nGjVyT+J6PwMdo+A1ZcqUVJPjOZKSkqybqZYOFKWD2EIgAHHIua+B3ih+8eLFQa9Nnjw5aHnq1Knu\nYx14NmrUKHe5WrVqEd9XRA/3VAbinE5/7TV//vyg5e+++859rO0JiF0EAhCnypcvLz179szy9tqw\njNhCIABxSmcoffLJJ7O8vXcKDMQGAgGIU6tXr85WDyHnpjuIHQQCEKd0DMKWLVtyezeQh9DLCABg\nCAQAgKHKCIhTxYsXlyuvvDLL23/11Vc5uj/IfQQCEKeqVq0aNOgsK/dXQGwhEIA49dtvv8ntt9+e\n5e2dm+wgdhAIQBzq1KmTTVqXHffcc497sxzEBgIBiEOPPfZYbu8C8iB6GQEADIEAADAEAgDAEAgA\nAEMgAAAMgQAAMAQCAMAQCAAAQyAAAAyBAAAwCYFAICDpOHLkiBQpUkSSkpKkWrVq4hebN2+WEydO\nSMGCBaVWrVriF+vXr5djx45J/vz5bUZKv+B4c8wzir/x6Fq3bp0cP35cDh8+LIULF86ZQAAA+Fd6\ngZCpye0KFCggtWvXFr/gKoTjHcslG8XfOMc7IzZt2mT30E5PpgKhZs2asmLFCvGL+vXry8qVK63a\nZeLEieIX7du3t//oenLieIvs3r1bPvzwQ9m/f7+0a9fOvleO93/xNx5d9X16TtH/NxmZ7pzpr5Fn\nHDx40K7US5Uq5T53+vRpm3df60DVxx9/LGPHjg0qqep2evWTnJycK/sNxAp6GSFP+M9//iPNmjWT\nq666Snr16iVO09bWrVvdMFAaGPPmzXOX33//fdtO7w38r3/9ywIEQNYQCMh1GzdulIEDB9pVvgbB\npEmT5Ntvv7XXKlWqJE2aNHHX1VKABoCz3auvvupuN3nyZJk7d26ufQ7A7wgE5Lp8+fKd8bXExER5\n5513pEGDBras9bbObRvDdZCjhABkHYGAXJeSkiLdu3e3cS6qZcuW0rRpU/f1hIQE9+TvrKM0GNq2\nbesuN2/e3KqOAGQNgYCoGzNmjHTo0EFuv/12WbBggT3Xo0cPmTJlilstpCHgpQ3HTj9qL6fHUe/e\nveX111+30sbatWstYLS31ptvvhm2JAEgNXoZIaoWLlwo/fr1c5cffvhhmTFjhhQtWlRKly7trhPq\n0KFDYQPBWffcc891n+vZs6eNLVDafVfbITSAAKSNEgKi6tdff011ot++fbs91tHwOl2HNhbv2LEj\n1XqhgaBX/j/++KM9rlKlitsLSXsmeTnhACBtBAKiSuv4nZKAaty4sdtIrJyxBN5Sgp74dfqU0EBY\nvXq17Nu3T4oXLy4lS5a05zRQOnfu7K5TrFgxueGGGyL8qYDYQCAgqsqWLWs9hZ566inrQaTVR972\nAufE7g0EDQGn95ATDN51nNKBt5Fa9e3bV6ZNm2Yj7AGkj0BA1OlI5C5dukjFihXlgw8+CHotXAnB\nqS4KLSE461SuXNl9Tmd0fO+996R69erWbsDoZSDjCATkmquvvtqmotBqH4dzAtd6/99//z2oh5E3\nEMK1H6hPPvnE2h+uu+66qH0OIFYQCMg1f/rTn6wKaPTo0amqjLwlAG+pwHnstB94A8EpHajWrVtH\n6VMAsYNAQK656KKLrIF51KhR7oneW8XjBEK4EoK3SskJBC0daI+levXqBTVUA8gYAgG5RgeRaa8j\nvdIfN25cqkD4/vvvz9iG4A0EbUPQ7qaUDoDsIRCQ69VGavjw4XZS91YZbdmyxcYUeANBq5i87Qfa\nU0kDwSkdaI8lqouArCEQkKsuv/xyu6WfNgTr1BWhvYK0JBBaQvC2H5QrV85+OqWDCy64wEYmA8g8\nAgG5Sm9b6UxkN2zYMClRokTQ61ptFFpCCG0/GD9+vNsjqU2bNlHbdyDWEAjIdS1atLCfOmVF6DxG\n4UoI3nW0hPDuu++6bRLXXntt1PYbiDVMbodcV6dOHffxhAkTgl7btm2bVRE5NByWL1/uLv/www/u\nXEhlypSxkdAAsoZAQJ4SOjGdt7eRWrVqlRw9etRddsIAQPYRCMgz6tat685DlFnaKK2lCQBZRyAg\nz9C5h2677bYsbav3VHj++edzfJ+AeEIgIM/QsQTz58/P0ra7du3K8f0B4g2BgDxjzZo19i+rnDEJ\nALKGbqcAAEMgAAAMVUbIM4oWLSqFChXK0rY69TWA7CEQkGc89NBD9DICchGBgDxj0aJFcurUqSxt\nu3bt2hzfHyDeEAjIdTrbaYMGDWzU8eeff57l9zn33HNzdL+AeEMgINdVq1bN7poGIHfRywgAYAgE\nAIAhEAAAhkAAABgCAQBgCAQAgCEQAACGQAAAGAIBAGAIBACASQgEAgFJx5EjR6RIkSJSoEABqV27\ntvjF+vXr5dixY5I/f36pWrWq+MXmzZvlxIkTUrBgQalVq5b4BcebY55R/I1H16ZNm+TkyZNy+PBh\nmzssRwIBAOBf6QVCpia3S0pKsonI/IKrEI53LJdsFH/jHO+MWLduXYZuIpWpQEhJSZGJEyeKX7Rv\n397+s2u1y4oVK8Qv6tevLytXrrSTE8eb450W/sZj43gfPHhQpkyZYtXy119/vVUX56R69erJqlWr\n0l2P6a8BIBcdOnRIGjZsKGvWrLHlSy65RObNmyf58uWL+r7QywgAouC1116zKne9GdQXX3zhPq+P\nnTBQ33//vf1zvPHGG7bdBRdcINOmTYvoPlJCAIAI++KLL+Thhx92l2+++WbZsmWLlChRwgKiWLFi\nVm2kSpUq5fYu1O169Ojhthc52yUnJ0dkPykhAECEbdmyJWhZT/579uyxx9qVf/Hixdb7p3LlyrJk\nyRIpV66cGwKhvYR27doVsf0kEAAgwjp27Ch16tRxl7t16xbUY1NDQccJFCpUKKinmzZiV6hQwV3W\nBudIjgUjEAAgh3300Udy2223Se/evWX//v1SsmRJWbp0qfTv399eb926ddD6R48etcGoTrWR46yz\nzpJ27drZ42HDhrm9DrXN4cEHH5Tu3bvLDz/8kGP7TRsCAOSgDz/80MLA8dNPP8mkSZPs6l97E6lZ\ns2bJrbfe6q6joaFCA0HNmTNHEhISpHPnztbzSNdp1qyZ7Nixw14fNWqUdSnVYQHZRQkBAHLQjBkz\ngpanT5/uPi5Tpoz9nDlzZtA6Bw4ccNsIvJNHbN++3U72FStWtEBRy5cvd8PA2Ua7qeYEAgEAclCr\nVq2Cllu2bJkqEFavXi3btm1LFQgaBnqCd2hJQtWsWdN9Truf1qhRw13W6qgrr7wyR/adQACAHNSp\nUyeZMGGCtGnTRipVqiRjxoxJFQjek723yii02ihcIGhvJG2k1qmEnn/+eVm4cKGVIHICgQAAOax9\n+/by+uuvy9atW2X+/Pnu80WLFnWnpfBWGzklhIwEwh9//CFDhgyxksc///nPoN5L2UUgAEAE1KpV\nS8477zx54YUXgp4P144QroTgtB8obxXRgAEDLEC6dOmS4/tMIABABEsK06dPD+oa6gSCzkD622+/\npSoh6NxGoVVKTglh9+7dVvLQBmZ975xGIABAhHTo0MF+OuMPztSOEK6EEC4QXn31VQuPtm3bSvHi\nxXN8fwkEAIiQiy++2EYejx8/3noWhQaCU20Urg3BCQQtDWijsVM6UDomIRIIBACIoBtvvFFOnz4t\nL7300hkDIbSE4G0/qF69ug1Mc9oOtGSgJYRIIBAAIArVRiNHjrQ2A28gbNiwwSawCy0hhFYX6UR4\nTulAAyat22BmB4EAABF05ZVXSunSpW2uIm0D8AaCU0oILSGEBoKWDpx1ItG7yEEgAEAE5cuXz2Yp\nVUOHDg2amsIJhNBeRt5A0Psj6M11lAaLd+RzTiMQACDCmjZt6p7sR48eHfSanvy9JQS9Z7P3/sc6\nw6nzur5P/vz5I7afzHYKABGWmPi/a2+9GY7Xpk2bZN++fe5y6G0yly1bFvZ9IoFAAIAoqVChgjt1\nRSidpM4RbozB3r17JdIIBACIkgkTJshll12WpW179eplU19HEoEAAFHy/vvvy1dffZWlbb/55htJ\nTk6WSCIQACBKhgwZkq3tdQxCJNHLCABgCAQAgCEQAACGNgQAiJLJkyfLRRddlKVtX375ZRuzEEkE\nAgBEybZt22wqiqxgHAIAxIDExESb0+hvf/tbnu5lRAkBACLs7rvvtn95HY3KAABDIAAADIEAADAE\nAgDAEAgAAEMgAAAMgQAAMAQCAMAQCAAAQyAAAExCIBAISDqOHDkiRYoUkaSkJKlWrZr4xebNm+XE\niRN2U+tatWqJX6xfv16OHTsm+fPnl6pVq4pfcLw55hnF33h0rVu3To4fPy6HDx+WwoUL50wgAAD8\nK71AyNTkdgUKFJDatWuLX3AVwvGO5ZKN4m+c450Reh+FkydPprtepgKhZs2asmLFCskpR48eldWr\nV9v7Fi9eXHJa/fr1ZeXKlVbtMnHiRPGL9u3b2390PTnl5PGONI43xzyj+BuPrnbt2smGDRvybqPy\nkiVLrD3iwgsvlMqVK8uXX36ZW7sCAIh0IJw6dUqee+45ueGGG6R///5WLHf069dPduzYYY8PHDgg\n//rXv9zXTp8+ba+H2w4A4MMb5Dz++OMyaNAgezx16lQ78euJXoXeRq5kyZJB2w0cONDdbs+ePfLi\niy9GclcBIO5FtIQwe/bsoOVvvvnGfTx48GC566677HHr1q1l9OjR7mszZ84M2m7u3Llx/0UBgK8D\noUuXLkHLd955p/tYuz5dc8019vjqq6+WcuXKnfG+oTfddFMkdxMAkJOBoMMZJkyYIAMGDJA1a9bY\nc0888YR8+umncvbZZ9sJ/5577gnaRquQ1KFDh4Kef+qpp6RQoUJSqVIlKzloFZLSHkNastD3BADk\n0UDo3r27Xck/9thj0qBBA/nhhx/s+euuu07OP/98a0B2gsKxf/9++3nw4MGg51etWmVdUq+44gq3\nlKHVRtojqWfPnnL99dfb7wEA5LFA0N5Ew4YNc5d12oUPPvjAXS5TpkzYtgGnhBAaCLNmzbKfNWrU\ncJ8bMWJEUG+joUOH5sSuAwByMhDy5ctng5K8zjnnnFSB4Jzo0yshOOvpgDXHxRdfHLRO6DIAII9U\nGX300UfSqVMnKVasmHTr1s2qkLJSQtC2iDlz5qQKhPvvv18qVqwoVapUkb/+9a9BJRAAQB4KhLp1\n68rYsWOla9eusnbtWklMTEwVCNu3b5eff/45VQnB26i8bNky+eOPP1IFwuTJk2Xbtm3Sp08feeut\ntywYAAB5uNtphw4d5Ntvvw0aO+AEQmgpIVwJwaku0moo79TPffv2temgO3bsmNO7DACIRCC0aNHC\nRh2/8MILYQPB244Qrg3BeT0lJcXuv6AmTZokixcvllatWqUa4QwAyKOBoFfxbdq0kWnTptkEduEC\nwbkFQ2gJ4UztB1o6CDfQDQCQx0cqa7WR0onpQgNh586d7pTOoSWEcO0H2nbw448/2shmncIVAOCj\nQNASgt5sZNy4cXbrNq3mSUhISFUtFFpC8FYnOWMQnnnmGfupM59qDyYAgI8CQW92o20JOmDt5Zdf\ntgbi5OTkVA3LThDoQDZd1xsIWkJwSgeqc+fOkdhVAECkJ7dzqo2GDx9u3UW91UY6C6qWDjQEHLrs\ntB84geC0HWgjtU6BAQDwYSBofb+ORdCrf53wzhsI2k4wb968oPW/++47t/1AaTuDMx+S3m5Pq6AA\nAD4MhPLly9ukduqdd94JakNQWh3kpTfCcWhbwZtvvukut23bNlK7CQCIxv0QdAprp61gwYIFaQaC\nd0prHbnslA6U9jACAPg4ELycsQeO3377LWh506ZNZ1wXAODzeyo7cxxl5xaYobOoAgB8GghHjhyR\nRYsWZXl77z0QAAA+DgStCtKBagCAvC1qbQgAgLyNQAAAGAIBABCdNgS9yc3gwYOzvP2f//znHN0f\nAEAuBYKOOm7dunWWt2fKCgCIkUBYuXIlI40BIN4DYeTIkTYNRXZ5754GAPBhINSpUyeSbw8AyEH0\nMgIAGAIBAGAIBACAIRAAAIZAAAAYAgEAYAgEAIAhEAAAhkAAAJiEQAbuaK+3wSxSpIgUKFBAateu\nLX6xfv16OXbsmOTPn99mXfWLzZs3261DdWK/WrVqiV9wvDnmGcXfeHTpnStPnjwphw8fTnNuuUwF\nAgDAv9ILhEzNZZSUlCTVqlUTv+AqhOMdyyUbxd84xzsj1q1bJ8ePH093vUwFQkpKikycOFH8on37\n9vafXatdVqxYIX5Rv359mzZcT04cb453Wvgbj672Pj2n1KtXT1atWpXuejQqZ5LW7d91111SqFAh\nm5b7iy++yOp3BADxdYMcv1q8eLFMmTLFrgS6dOkiiYn/zc733ntPRowYYY83bNggXbt2le3bt0u+\nfPnsuSVLlsjkyZOt8b1z587udgCQ1xEIYcyZM0datWolR48edZeHDBlij/fu3Ru07sGDB61uThtq\n5s6dK9dee6273ddffy3vvvtu5L9FAMgBXL6e4U5vzkndWXY89NBDcvvtt9vj8uXLy6hRo9xW++HD\nhwdtpyWJDHTiAoA8gUAI48orrzzjsna/7d27tz2++uqrpWPHju5rjRs3Dtru0ksvlYSEhJz+zgAg\nIggEEfnjjz9k9uzZsnv3bjsod9xxh7z99tty3nnn2fI777wTdND279/vVhd53XfffXL++edbCGjb\nwocffmjPnzp1ShYuXCirV6+OzLcIADkg7gNh+vTpNraiefPm9nPmzJl2YP7yl7/Irbfeao+XLVsW\ndNAOHDgQNhA0CLZt2yaVKlWSDz74QKpUqSKHDh2yksIll1widevWlQceeCAnvjcAyHFxHwh9+/a1\nk7Zzgn/++efdg1OmTBn76YREeiWE5cuXy65du6w7qmPcuHHyww8/uMtvvfWWDSYCgLwm7gOhdOnS\nQQekWLFiqQJh1qxZYUsITpA4nPVq1KiR6j0cOhq2RIkSOfYFAkBOiftA6N+/v1x88cU2jkCrdF55\n5ZVUJ/OffvpJ9uzZk26VkRMI3hLC9ddfLy1atLDxCOecc471REpOTs6xLxAAckrcB4IO6dYqHQ0G\nHYVcvXr1VIFw+vRpa3ROq8pIu5fqeIXQQNBxC/r+N998sw0d10FuAJAXxX0gODp06GBzlIwdOzZs\ndY+32ihcCcFpPwgNhAEDBsi+ffts1DIA5GUEwv+nU1RoN1MtKYQLBG/DslNC0BKFM4OgNzCcNgQt\nHbz22mvWZnDddddF+rsEgGwhEEJmMly6dKl89tln7iA0ncTO6XrqlACcEoK3YdkJBF2/YsWK9njg\nwIFWOtDSh97sBgDyMgIhJBDUCy+8kKqUoG0ETjuCU0Jwqo287QdaOtDxCFo6GDx4sD1HdREAPyAQ\nPBo2bGj3IPjmm2/s35naEbwlBA2EcO0HgwYNstJB2bJl5ZprronOtwkA2UAghLjxxhuDSgnh2hFC\nSwih7QcaBE7pQHsX6Z3mACCvIxDOUG2k7Qg6/sAbCHqHpB07dqQqIXgDQUsIWjpwpsmmmykAvyAQ\nQujMps7oZe1xFDrSWNsRvCUEDQen/UDp+hoIqnLlytKsWbNIfn8AkGMIhBBavdO6dWt7/PHHH6e6\nIY5WG3lLCAsWLHDbD5TeLc3ZRnsXMf01AL8gEMIoVaqUO2116E3uQwNh6tSpQa97l0NLFwCQl9Ha\nmY5jx44FLev0E146biGt9QHALwiENGj1j85OmhV9+vTJ6ncCALmCQEiDzoKa1RHGzGgKwG8IhDTo\nHc+y4/LLL8/W9gAQTTQqAwAMgQAAMAQCAMDQhpCGJ5980m6tmRUfffRRlrYDgNxCIKTTddS5H0Jm\nLVmyJKvfCQDkCgIhnemwszr1xObNm6VRo0ZZ/V4AIOoIhDC6du0qF154YY6MYwAAvyAQzjB+gDEE\nAOINvYwAAIZAAAAYAgEAYAgEAIAhEAAAhkAAABgCAQBgCAQAgCEQAAAmIRAIBCQdhw8flqJFi9rM\nn1WrVhW/+PXXX+XkyZNSoEABqVmzpvjFL7/8IsePH5ekpCRJSUkRv+B4c8wzir/x6Fq/fr2cOHFC\nDh06JEWKFMleIOzevVvKlCmT0/sIAIiiP/74Q0qXLp29QDh9+rTs3bvXpoLO6uyfAIDcoaf5o0eP\nSnJysiQmJmYvEAAAsY9GZQCAIRAAAIZAAAAYAgEAYAgEAIAhEAAAhkAAAIj6f6XuXcvA0iRSAAAA\nAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "display_n_queens(state, 5)"
      ],
      "id": "f210f44b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "    5\n",
        "\n",
        "## `get_neighbors_rn`"
      ],
      "id": "a49aa7f5-f21b-43ff-ba3a-a5b1909a11c4"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_neighbors_rn(state):\n",
        "\n",
        "    \"\"\"Generates neighboring states by moving on queen at a time to a new row.\"\"\"\n",
        "\n",
        "    neighbors = []\n",
        "    n = len(state)\n",
        "\n",
        "    for col in range(n):\n",
        "        for row in range(n):\n",
        "            if (state[col] != row):\n",
        "              new_state = state[:] # create a copy of the state\n",
        "              new_state[col] = row\n",
        "              neighbors.append(new_state)\n",
        "\n",
        "    return neighbors"
      ],
      "id": "2906aa90"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Russell and Norvig (2020), $8 \\times 7 = 56$ neighbours\n",
        "\n",
        "## `get_neighbors_rn`"
      ],
      "id": "71d08e7d-8a2d-4add-b22a-c7a1d72c4b74"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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uFy5cWB577LGw/XR7pft/8MEHMf9BAUCgA0Ebof3KlSvn3a5bt6784Q9/sNsP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\n6v8BIshlH9GPKdgAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "etat = create_initial_state(8)\n",
        "display_n_queens(etat, 5)"
      ],
      "id": "b7647202"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `get_neighbors_rn`"
      ],
      "id": "dc7f3e83-310c-4755-96ae-4d6380761a20"
    },
    {
      "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": "ac3fa99d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `get_neighbors`"
      ],
      "id": "2315f325-8133-4655-a2b0-3304f8dc4fa5"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_neighbors(state):\n",
        "\n",
        "    \"\"\"Generates neighboring states by swapping two rows.\"\"\"\n",
        "\n",
        "    neighbors = []\n",
        "    n = len(state)\n",
        "\n",
        "    for i in range(n):\n",
        "        for j in range(i + 1, n):\n",
        "            new_state = state[:]\n",
        "            new_state[i], new_state[j] = new_state[j], new_state[i]\n",
        "            neighbors.append(new_state)\n",
        "\n",
        "    return neighbors"
      ],
      "id": "630be08f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "$\\frac{8 \\times 7}{2} = 28$ neighbours\n",
        "\n",
        "## `get_neighbors`"
      ],
      "id": "33f0e0ea-6421-405d-8943-e344604723d5"
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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wliCcQHjvvfds2yuuuELS0tIk0ggEAIiS+vXr28jjadOmudU/OQ0ELQ1oo7FTOlDeMQyR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\nAQBgCAQAgCEQAACi/g8BcWHJWKDdggAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "etat = create_initial_state(8)\n",
        "display_n_queens(etat, 5)"
      ],
      "id": "1cf87753"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `get_neighbors`"
      ],
      "id": "231601c9-9ea7-44f2-95ba-936b8a398f66"
    },
    {
      "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": "ad566278"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `hill_climbing`"
      ],
      "id": "c5c105a3-98a4-4368-b3e9-527a38bcd47d"
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [],
      "source": [
        "def hill_climbing(current_state):\n",
        "\n",
        "    current_conflicts = calculate_conflicts(current_state)\n",
        "\n",
        "    while True:\n",
        "\n",
        "        if current_conflicts == 0:\n",
        "          return curent_state\n",
        "\n",
        "        neighbors = get_neighbors(current_state)\n",
        "\n",
        "        conflicts = [calculate_conflicts(neighbor) for neighbor in neighbors]\n",
        "\n",
        "        if (min(conflicts)) > current_conflicts:\n",
        "          return None # No improvement found, stuck at local minimum\n",
        "\n",
        "        arg_best = np.argmin(conflicts)\n",
        "        curent_state = neighbors[arg_best]\n",
        "        current_conflicts = conflicts[arg_best]"
      ],
      "id": "a39d2364"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The program above presents a major issue. What exactly is it?\n",
        "\n",
        "It is important to note that, in this particular context, the problem is\n",
        "defined such that the sought solution is free of any conflict. However,\n",
        "in some optimization problems, the minimum value of the objective\n",
        "function is not predetermined.\n",
        "\n",
        "The main issue is that the algorithm might enter an infinite loop if the\n",
        "condition `min(conflicts == current_conflicts)` is satisfied.\n",
        "\n",
        "Two scenarios may arise: either the plateau is followed by an ascending\n",
        "slope, or it represents a local maximum. In the first case, the\n",
        "algorithm could potentially exit the plateau, although this is not\n",
        "guaranteed. To prevent infinite loops, it would be wise to implement an\n",
        "appropriate mechanism.\n",
        "\n",
        "## `hill_climbing` (take 2)"
      ],
      "id": "929033f0-5e52-4584-86e2-5f7399d0defa"
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [],
      "source": [
        "MAX_SIDE_MOVES = 100\n",
        "\n",
        "def hill_climbing(current_state):\n",
        "\n",
        "    conflicts_current_state = calculate_conflicts(current_state)\n",
        "    side_moves = 0\n",
        "\n",
        "    while True:\n",
        "\n",
        "        if conflicts_current_state == 0:\n",
        "          return current_state\n",
        "\n",
        "        neighbors = get_neighbors(current_state)\n",
        "\n",
        "        conflicts = [calculate_conflicts(voisin) for voisin in neighbors]\n",
        "\n",
        "        if (min(conflicts)) > conflicts_current_state:\n",
        "          return None  # No improvement, local maxima\n",
        "\n",
        "        if (min(conflicts)) == conflicts_current_state:\n",
        "          side_moves += 1  # Plateau\n",
        "\n",
        "        if side_moves > MAX_SIDE_MOVES:\n",
        "          return None\n",
        "\n",
        "        arg_best = np.argmin(conflicts)\n",
        "        current_state = neighbors[arg_best]\n",
        "        conflicts_current_state = conflicts[arg_best]"
      ],
      "id": "db5dce8e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Solve"
      ],
      "id": "33730981-0ab9-4496-bb31-706921c84424"
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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P3ebNmyU7O1sOHz4s8fHx4QlOAAD8Lq/gdLWQdVxcnNSrV0/8xM9VmZ//MlSc\nO+/i3HlXho+/M9PS0uT48eN5bucqOBMTE2X69OniJykpKSZg9B9Aamqq+ElycrKsWrXKhKbfzpvi\n3HkX5867Unz8ndmsWTNZs2ZNntsxOAgAABcITgAAXCA4AQBwgeAEAMAFghOAr/34448yfvx42bRp\nU1EfCnyC4ATgWy+88IJceOGFMnDgQGnatKksWrSoqA8JPkBwAvD8tXcXX3yxuezqgQceMDO/WF5+\n+WX7tl7T/MYbb9j3N2zYIJdccom5Nv3+++8P2g84HYITgKf17NnTVJJbtmyRkSNHBoXjBRdcELTt\neeedZ9/u3r27fP311+aC/lGjRslrr70W0eOGdxGcADzrxIkT8ttvvwU95uzL/OCDD6Rv377m9ksv\nvSQPPvigvZ8GptPGjRsjcszwPoITgGeVKFHCDkN11llnye23327f14UpdMYz1bx586D9brnlFvt+\nuXLl5Oabb47YccPbCE4AnqHVpPZH3nrrrbJ48WLz2JAhQ8zUkpUqVTIDgEJXcMrMzDQ/Dx48GPT4\noEGDzM9u3brJ6tWrpWXLlqafU5tsdTDRm2++KSdPnozYe4N3uJqrFgCKytGjR6V9+/aydetWc3/S\npEny66+/mjlTdY7R6tWrm0tPdDUn58oWBw4cMD8PHToU9HrWCNvOnTtL3bp1ze1//vOfMnz4cHNb\nL2HZtWuXDB48OGLvEd5AxQnAE3TybSs0rSD96quv7PtVq1Y1K1t89913+ao4Fy5caH42aNDAfmze\nvHlB28yZMyfM7wJ+QHAC8AStKuvUqWPf12Wt/vrXvwYFp1qwYEHQflbFGRqcOqI2NDj79OmTY8Qu\nEIrgBOAJGpTavProo4+aQT9jxowxfZqhwWlVkqerOLVPdMeOHeZ2/fr17cdvuOEGiYmJMYGpI3If\nfvjhQn9f8B6CE4BnaMgNHTpUOnTokGONWSs4ddCQsz8zt4rTClfdp0KFCvbjw4YNk0AgYCZO6Nev\nn8TG8hWJnPhXAcBzrrjiCvn4449l3bp1OYIzKytLvv322xwVpzNMc+vf1AkUxo4dK23atDEDjoBT\nITgBeM7ll19uKsPnn38+R3CGNtfmVnHm1r+plawOLurfv3+hHz+8jeAE4Dm1atUy0+npJSnWSFtn\ncFoDhHTkrVagzuDMrX9Tq8133nnH9G9effXVEX8/8BaCE4Bnm2u1QhwxYkSO4Fy6dKkJSqvadAan\nsxq1Kk7t29TX0utEnSN3gdwQnAA8G5zqrbfekt27dwcFp84ApCNwrf7N0wWnVqw6QlcNGDAggu8A\nXkVwAvCkc845x1yOooN+Xn311aDgtAIyt4rTOWmCBqfVtxkXF2dPCA+cDsEJwPNVpwanXufppP2c\nzopTA1b7N3fu3Gnua1Bqn6b2bVpT71WrVi2ixw9vIjgBeFZKSor5uWfPHpkwYYIkJCTYz/30009B\nU/RpxelsptVVU/71r3+ZBa4Vo2mRXwQnAM/Say51FiGlg4TKly9vP6drbs6aNeuUwWnNPmTRSRWA\n/GB1FACepU2t+p8KXdBaOYNT+zHnz59v31+7dm3QtrpGJ5AfBCcAz9Mm2sqVK5/yOafQy010zc1t\n27YV6vHBXwhOAL4YJKSTIRTE9u3bzYQKQH4RnAA8LzU11V6A2q3Q5caAvBCcADxv+fLl5j8gEhhV\nCwCACwQnAAAuEJwAALhAHycAX8wgNHLkyALtu2vXLrNEGZBfBCcAzzty5Ii5rKQgdLo+wA2CE4Dn\nzZkzx/wHRALBCcDTjh49WtSHgGKGwUEAALhAcAIA4ALBCQCACwQnAAAuEJwAALhAcAIA4ALBCQCA\nCwQnAAAuEJwAALhAcAIA4ALBCQCACwQnAAAuEJwAABCcAAAUDipOAABciAkEAoH8rK6ekJAgcXFx\nUq9ePfGTjIwMycrKktKlS0vDhg3FT9LT0+XYsWNSsmRJSUpKEr/h3HkX5867Mnz8nZmWlibHjx+X\nw4cPS3x8fHiCEwAAv8srOOPcvFipUqWkUaNG4id+rsr8/Jeh4tx5F+fOu9J9/J25efNmyc7OznM7\nV8HZoEEDSU1NFT9JTk6WVatWmX8A06dPFz9JSUkx/8g1NP123hTnzrs4d96V7OPvzD59+sjGjRvz\n3I7BQQAAuEBwAgDgAsEJAIALBCcAAC4QnACAqPPzzz/LlVdeKRdddJE8/fTT5gqBaOFqVC0AAOGi\nl37MmTNH9u7dK507d5aaNWvazz300EOyY8cOc3vKlCnSuHFjGTBgQNB++/btk06dOgXtFwkEJwCg\nSDz88MMyb948c/v11183AVmnTh1TXe7fvz9o2127duW63//+7//KBx98IImJiRE7bppqAQARt2PH\nDjv81IEDB0wVqXRyheHDh0uVKlXMfW2uvf7660+53+effx7RYyc4AQARd9ZZZ0nt2rXt+zExMdKi\nRQv7vjbB/uUvf7ErzEqVKpnb1apVswPV0rRpU4kkghMAEBGbNm0y09qZ8ImNNc2svXr1Mvd79uwp\nbdq0Cdr+0KFD9nzplhIlSsgjjzxibmvfpt5u3769uZ+ZmSlr164t9IFEBCcAoFCdPHlSHnjgAend\nu7cJSq0gdX0Rnft86NChJgw1VENZwamTrjtpQKpBgwbJddddZ27PnTtXOnbsKH379pXu3bvbAV0Y\nCE4AQKFatmxZUL/k7NmzZeXKlXYTbcWKFWX16tVy8ODBoP2s+6HBuWTJEvOzbt269mOjRo0yk89b\n/aBjx44ttPdDcAIAClWZMmVyPKYDgCwanCdOnJCffvopaBsrMEODU4M4NDhDlwErzKUwCU4AQKFq\n0aKFaVLVpSnVLbfcIs2bN7eftwb+LF68ONeK09nHqSs+7d692zTv1qpVy37c6vfUkL7wwgvN7ygs\nBCcAoNA98sgj8v3330u5cuVyrOusFWduwZlbxWk10+rAoLi4uKCZhtSkSZPk7bffzjHyNpwITgBA\nRJQqVcpckzlmzBgzOCi04tQRsdbAH226tSpNZ8WZW/+mDiKaOHGiWXu4SZMmhf4+CE4AQMR06tRJ\n1q9fL19//XWO4NTRt1b/pTWiNrTizK1/c/LkyWamoW7dukXkPRCcAICIad++vRkYNHr06BxNtc7m\n2tyC0+rfVDo1n7XdhAkTzG29DCUSCE4AQMSULVtW2rZtK8uXL5elS5cGVZzOptjcgtN6zllxWtWm\nDjaqV69eRN4DwQkAiKiOHTuan9rXGRqc69atM0HovKbzVMFp9W2qHj16ROz4CU4AQERdeumlZsq9\nb775RtasWRPUVKuDhrQSdfZrWoODrArVCs53333XLC2mkyh07do1YsdPcAIAIqpatWrSsmVLu+p0\nVpxWP2doxan9m3v27LGbe0uXLm33bbZq1Sqia3ISnACAImuunTdvXo61N7VJNrSP09lMqwODrGoz\nkoOCLAQnACDiLrnkEvt6zWnTpgU9l5aWJlu3bj1lcOrkBuPHj7fvd+nSRSLp/6ZdAAAgQipXrhw0\n6bv2eep1nFY/51dffRUUnM7+TZ0lyJrQXRXmLEG5ITgBAEUqK5f1M3UWIcvOnTuDnnOGZlEgOAEA\nRdrX2bNnzwLtq825I0eOlEgjOAEARSYpKcnu73RL1/AsCgQnAKDIjBs3zvznJYyqBQDABYITAAAX\nCE4AAFygjxMAUGSSk5PNlHkFoUuM6TWgkUZwAgCKTNu2beX+++8v0L6pqakEJwCgePnss8+CZgVy\nw7mCSiRRcQIAIi4hIUEefvhhT37yBCcAIOJKly4tf//73z35yTOqFgAAFwhOAABcIDgBAHCB4AQA\nwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABciAkE\nAoG8Njpy5IhZO61UqVLSqFEj8ZP09HQ5duyYlCxZUpKSksRPMjIyJCsryyzf07BhQ/Ebzp13ce68\nK93H35mbN2+W7Oxss0B2fHx8eIITAAC/yys4XS1kHRcXJ/Xq1RM/8XNV5ue/DBXnzrs4d96V4ePv\nzLS0NDl+/Hie27kKzsTERJk+fbr4SUpKigkY/QeQmpoqfpKcnCyrVq0yoem386Y4d97FufOuFB9/\nZzZr1kzWrFmT53YMDgIAwAWCEwAAFwhOAABcIDgBAHDB1eAgAP6za9cumTVrlhkl2bNnTylfvnxR\nHxIQ1QhOoJjQS7ZjYmKCHtu3b59cddVVsnv3bnP//ffflylTpphLmE63H1Cc0VQL+JwG34gRI+T8\n88+XDh06yOeff24/9/3339uhqfQyA72EyTJq1Ch7P61KARCcgO/NnTtXxo4day7s1pAcPHiwZGZm\nmuf+9Kc/SeXKle1ta9WqZV/UPmfOHBkzZoy93z//+U/Zv39/kb0PIFpQcQLFYPowJw1Ca3aU2rVr\ny8cff2zmoa5bt65MnTpVypUrZ547cOBAjv10+k2guCM4AZ/r2rWrmUXKMnDgQKlWrZp9v2rVqmYK\nNZ1Ss0KFCvbjXbp0McFqufLKK6VmzZoRPHIgOhGcgM/6M8ePHy8333yzDBkyxDSx6gIN7777rjz+\n+ONmm6ZNm+aoSHW/0MpUQ1T7N9Wbb74pTz31lLm9YsUKuf/+++Xuu+82faRAccOoWsBHPvjgA3nx\nxRfN7cWLF8tvv/0mb731lsTGxtoT/S9ZskR69Ohh73Pw4EHzMzQ41dKlS00lesEFF9ijcAcNGmRv\n++2338onn3xi5rEGigsqTsBHQifd/uWXX+zbFStWtIPT6dChQ+ZnaP/l1q1b5ffff5caNWqY8FSb\nNm0KClht4l23bl0hvBMgehGcgI907tz5lPcrVapkL9a7Y8eOHMF54sQJswydxQpYHTTkXD3CuZj9\nWWedZTfnAsUFwQn4yCWXXCITJkyQ7t27m4E8Vr+kMzhDq04rOJWzmtRm2tDg1NmFzjvvPClTpow8\n88wz8tFHH9mVLFBcEJyAz7Rq1Uruvfde2b59e9DgnbJly9pNrgUNTn3NadOmmYDWdRmd14ACxQXB\nCfhQnTp1pEmTJjJ69Oigx62qUwcOnS44rf7N0ODU19N+Ta1ogeKK4AR8qlOnTrJs2TJZvnx5juDU\nYNy2bVvQqFpncDorUis4rWpTJ4Fv3759xN4HEG0ITsCnOnbsaH46q05nf6QVjs7mWWtkrdVM6wxO\nfR2dPejSSy81Mw0BxRXBCfiUNtVqk+3XX39tXzLiHCBkNdfmVnFawanT7+k+OgpXq03lvAYUKI4I\nTsDnVafOCvTOO++ccmRtaB+ns39Tg9dZbepgoLZt20b4XQDRheAEikFzrS4lpoHobKrVcNSZhUKD\nM7R/U6tNnQjemr/WGpkLFFcEJ+Bjes1llSpVzOQG48aNC6o4reZaZ3BqH2do/6a1tJjq1q1bBI8e\niE4EJ+BjOketXnOppk+fLtnZ2UHPa3UZWnE6g1MHAekkB0qn3mvdunXEjh2IVgQn4HPWkmI6nd6n\nn3562uBcv3693b9pLWZtVZstWrSQmJiYiB03EK3orAB8zhl2GzduDHpOr83MzMy074cuE5aRkZHr\n6wDFGcEJFBM6ObuuzVkQGrAA/oPgBIqJZ5991m62dWvkyJGyZcuWsB8T4EUEJ1BMjB07tsCTsq9Y\nsSJozlqgOCM4gWJCB/qcCYIT+A9G1QIA4ALBCQCACwQnAAAu0McJFBOTJ0+W5s2bF2jfV155xcx1\nC4DgBIoNnUqvoNdjbt68WUqUKBH2YwK8iIoT8Ln4+HipXr26qTjPxMUXXxy2YwK8jOAEfK53797m\nPwDhweAgAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB\n4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwIWYQCAQyGujI0eOSEJCgsTFxUm9evXETzIyMiQrK0tK\nly4tDRs2FD9JT0+XY8eOScmSJSUpKUn8hnPnXZw778rw8XdmWlqaHD9+XA4fPmwWgA9LcAIA4Hd5\nBWecmxcrVaqUNGrUSPzEz1WZn/8yVJw77+LceVe6j78zN2/eLNnZ2Xlu5yo4GzRoIKmpqeInycnJ\nsmrVKvMPYPr06eInKSkp5h+5hqbfzpvi3HkX5867kn38ndmnTx/ZuHFjntsxOAgAABcITgAAXCA4\nAQDwcnCeOHHCjOIFACAaRVVwjhs3TqpUqSLlypWTa6+9Nl+jmwAA8HVw7t69W5555hl59NFHZf36\n9fbjBw4ckDvuuEMyMzPl5MmT8u6778p7771nP79nzx559tln5bHHHpN169ZF+rABAHB/OcqZ0hkZ\nOnToIL/++qu5/+9//9tcJlGnTh3znAam09GjR4P2++WXX8z91157zeyXmJgYycMHACCyFefKlSvt\n0FT79++XL774wtyuWrWqTJs2TapXr27uP/jggzJw4EB7Pys0rep07ty5nD4AgL+Ds0WLFlK7dm37\nftmyZaV9+/b2/R49epiLa9XgwYPNzBSqWbNmJlgtOmduu3btInnoAAAUfnDqtExz5syRb7/9VnRK\nXJ36beHChaYvU91zzz1mNiInrSbVwYMHgwJW+zdV27ZtZebMmdK0aVNzXyvRWbNmmb5RAAA8G5wa\ngK1bt5Zu3brJRRddJP369TOPN27c2AwOUsuWLcuxnxWAzuBU1jRITzzxhHTp0sXcHjJkiLRs2VJ6\n9uxpXnfDhg2F9XYAACjc4NT+Suf8qFOnTrVHw1auXFliY2NNJaqTkOdWcR46dCjoca1UlVWh6vWe\nw4cPt5/fuXOnvPnmm4X1dgAAKNzgdPZlWv2SFStW/M8vjY2VSpUqmXBcsmRJnhWn3v7pp58kJiZG\nzj77bPNYiRIlcvwORtkCADwbnJ07dzbXamq4aeBNnDhRatSoYT9vDfZZsGCB/ZhejqLroIUG56JF\ni8xkCLVq1ZIyZcrYj7/44ovmZ/369eWuu+6S2267rbDeDgAAhT84aOjQobJmzRozOjZ0UdDcglOb\naa11tZ3BGdpM62wO1tdeunSpvPrqq/YoXAAAPHs5Svny5aVjx44ybNiwXIPzu+++MxMcOPs38xOc\nOuuQzi7UtWtXM00fAAC+uY7ziiuukB9//DGourSCUyd01+eU85ISa3CQ1b9pNcla9PIUHSDUv3//\nSLwFAAAiF5yXX365GRDkrDqdExpYgZpbxWn1bzorzrS0NJk8ebJp/tXXBgDAV8Gpg4J04oJ58+bZ\n127mFpzOitMKTquZ1hmcVrXZq1cvs5IKAAC+m3JPm2uVVXU6g/OHH34wE7rnVnGGBmd6erqpNhXN\ntAAA3wenjoRdu3ZtUHBqaGp4hlaczv5NvQxFL0fRWYe06bZChQpmblsAAHwZnI0aNZLmzZubazVf\neOGFoOC0mmudFacODnL2b+rEBzqlnlVtpqSkBF3TCQCA71ZHsapOnQzBmujAok2yoRVnaDOt9m1a\nQTpgwICIHTcAAEUSnFbTqs5PO27cuKDntKl2x44dpwxOnRhh0qRJ5rYOCNKZiQAAiLS4SP4y7Ze0\nzJgxI+g5nQRBlyCzbNu2zV4RRemIXKva1GXGdO5bAAAircjSJ3RVFGWtnmLNDORkhSYAAMUuOO+7\n7z65+uqrC7SvLkX2r3/9K+zHBABA1AanNrVWq1btjJt7AQAoFsH53HPPmf8Kyrk8GQAAvh1VCwCA\n1xGcAAC4QHACABDtfZx9+vSR9u3bF2jf1atXy8yZM8N+TAAARG1wXnrppeaSlIL47LPPCE4AQPEK\nzqeeekpefPHFAu2rK6kwaxAAoFgEZ1JSkkyZMuWMX4dVUQAAxWau2r59+0byVwIAEFaMqgUAwAWC\nEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB\n4AQAwAWCEwAAF2ICgUAgr42OHDkiCQkJUqpUKWnUqJH4SXp6uhw7dkxKlixp1gv1k4yMDMnKypLS\npUtLw4YNxW84d97FufOudB9/Z27evFmys7Pl8OHDEh8fH57gBADA7/IKTlcLWcfFxUm9evXET/xc\nlfn5L0PFufMuzp13Zfj4OzMtLU2OHz+e53augjMxMVGmT58ufpKSkmICRv8BpKamip8kJyfLqlWr\nTGj67bwpzp13ce68K8XH35nNmjWTNWvW5Lkdg4MAAHCB4AQAwAWCEwAAFwhOAABcIDiBPJw8eVLe\nfvttueWWW2T06NHmPoDiy9WoWsDPdBj6tm3bzOjx2Nj/+5vy6aefliFDhpjbY8aMkd9++02efPLJ\nPPcD4E/8Xw6IyJIlS6Ru3bpy9tlnmyHpGzZssD+X2bNnB31Gs2bNsm8vXbrUXO6j+zVt2tRcBwbA\n3whOQEQGDRoku3btMp/FunXr7ArTeq5EiRLmdkxMjAwcONB+7tZbb5UdO3aY2+vXrw+qRAH4E8EJ\niJh5mIP+x3A0ud58883y0ksvmduvvPKK3HHHHfZzGqQAiheCExCRESNGmKZaVaNGDXnuueeCPpcT\nJ07kGpTPPPOMfVubbJ944gk+T8DnCE4Uy/7Miy++2Kz0o02rus5Bu3btZMuWLdK2bVsz2KdmzZpB\n+xw4cMD8PHToUNDjrVu3Nj+7detmpiFr0qSJmSD6tttuk8aNG8vll19u5vYE4B+MqkWxopWjzrX5\n+++/2yNmdVDPgAEDzP1q1arJjz/+KCtWrJBWrVrlCM6DBw8Gvd6CBQvMz3PPPdcsgqC0Wn3rrbfM\nbR0spKsLzZ07N0LvEEBho+JEsaLV4Pbt24Me08FAlqpVqwYFoiUzMzPX4Fy4cKH52aBBA/sx54hc\npZUoAP8gOFGslC9fXvr372/fr1KlStD9UwXnqSpOKzjr169vP3bXXXeZJZcs99xzT9jfB4CiQ3Ci\n2Jk0aZJ88cUXZlmkRx991PRLhgbnokWL7AFBp6o4ddIDq1p1Vpy6Zq32m95www2ydu1auffeeyPy\nvgBEBsGJYkdHxnbq1En69etnLi/RRXlDg3P//v3y888/n3ZwkFVt6qUrOgGCZejQoWaA0QMPPCDn\nnHNORN4TgMghOFFs6SAhHUk7efLkHMEZ2lybW8VpBWedOnXs60C3bt0q77zzjpl9qGXLlhF5HwAi\ni+BEsdWmTRtz7ebzzz9vT9x+quDMrY8zt/7NYcOGybFjx+xRugD8h+BEsW6y7dOnj6xZs0amT5+e\nIzi/+eYbyc7OzrXizK1/Uyd/10nglXPAEQB/IThRrF1xxRV2pRganFplLlu2zL7tDE6r2nQGp1Vt\n6qQIOvkBAH8iOFGsdejQQSpVqmRWOdGRts7gtJprdfCQBuLpglOrTV2rU1FtAv5GcKJY09l+evbs\naW4PHz5c4uPjzX8WDUirmdY5qtYZnNrHaVWb2vx79dVXR/Q9AIgsghPFntVc++WXX5p5bEP7OXfv\n3m3f13DUkbjO2YbKlCljV5s6560uaA3AvwhOFHs6QbuGn9LK0RmcWmHOnz8/6DP67LPP7NsJCQky\nduxYuymX0bSA/xGcKPbKli1rZvtROrrWWWGqGTNmnDI4tVnXqjYV124C/sfqKICDTpWnkxg4hVac\nzvuhIQvA/whO4L90STGdiq+gpkyZwmcJFAMEJ/BfOtn7+++/X+DPw5pEAYC/EZzAf61atUp69epV\n4M/DOVk8AP8iOIH/2rt3r8ycOZPPA8BpMaoWAAAXCE4AAFygqRb4L11T86yzzirw56Hz1QLwP4IT\ncKzPqVPsFZQ1+xAAfyM4AUfF+OKLLxb48zhx4gSfJVAMEJyAiFlDc/PmzWd0LWbbtm2lYsWKfJ6A\nzxGcgIhMnjyZzwFAvjCqFgAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWC\nEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABciAkEAoG8Njp8+LCULVtWSpQoIUlJSeInW7Zs\nkezsbClVqpQ0aNBA/GTDhg1y/PhxiYuLk8TERPEbzp13ce68a4uPvzPT09MlKytLDh06JAkJCWcW\nnHv27JGqVauG+xgBAIg6u3fvlipVqpxZcJ48eVL27dsnZcqUkZiYmHAfIwAARU7j8OjRo1KpUiWJ\njY09s+AEAAD/weAgAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAQPLv/wNwIUFZh98c\n1gAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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jR/PdzlVw1q9fX9LT08VP0tLSTMDofwArV64UP0lNTZVVq1aZ0PTbeVOcO+/i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\ngeAEAMAFghMAACm4/wNCXS1+iGnnjQAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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fDyILwQkgYptrlV42LDA4de1ZXczAaqZ1BqezGrWC06o2u3TpYsITOB2CE0BE0spQLwWm\n/Zza3xk4mEcD0hpR6xwc5JznqX2cesUUawoLzbQoCoITQETSoGzTpo3Z1r5OZ8VpBadzQJAGp7N/\n06o4rWpTl9zTi10DhSE4AUQsbVpVc+fOlYMHD9qLFyitIp0Vp4aos39Tm2T1MmS6xJ7Sa3M6p6YA\np0JwAoj4fs4TJ07I5MmTzTU3Lbqm7aZNm/yC09m/qc20VrWpdPF4oChiirQXAIShunXrmgUL9Koo\nH330Ub4royxYsMCvqdbZv5mVlSVpaWn2bedi78DpEJwAPEHDU/9z0oE/Fq1KrakrVnACxUFwAoh4\neiHriy++uFjHap/nzJkzg35O8C6CE0DES0lJkYceeqhYx+r1OwlOuEFwAoh4S5YskUGDBhXrWJ2i\nArhBcAKIePv27TP/AaHAdBQAAFwgOAEAcIGmWgART5fLq1evXrGO1WkqzvmcQGEITgAR77LLLpOn\nn3662KNqraX7gKIgOAFEPL06ypgxY4p1rHXVFKCoCE4AEa1z585mSklGRkaxn0MrTr04NlAUBCeA\niDZ69OjSPgWUMYyqBQDABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADA\nBYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXonw+n68oF3qNj4+X2NhYadasmXhJenq6HDt2TMqX\nLy+JiYniJZmZmeY6hXFxcZKcnCxew2cXufjsIle6h78zt27dKnl5eZKTkyMVK1YMTnACAOB1hQWn\nqwtZx8TESOPGjcVLvFyVefkvQ8VnF7n47CJXpoe/M9PS0iQ3N7fQ/VwFZ6NGjWTmzJniJampqSZg\n9B/A2rVrxUtSUlJk3bp1JjS99rkpPrvIxWcXuVI9/J3ZokUL2bBhQ6H7MTgIAAAXCE4AAFwgOAEA\ncIHgBADABYITQbNx40b58ccfpQgznAAgYrkaVQucyr333itz58412xdddJG89tprZhoMAHgNFSeK\nbOXKlXLHHXfIsGHDzLaz0rRCU61atUoWL15s3169erU5bvjw4bJixQrecQARjYoTRbJt2zYTfkeP\nHjW3NQA//fRTSUhIkOrVq0uFChXsx6KioqR27dr2cUOHDrUfW7ZsmcyePVvOOuss3nkAEYmKE0Wy\nefNmO/ysZRgzMjLMtobg5MmTpWbNmmY945deeknOO+88eyUO53G6rZOnASBSEZwoknbt2kmDBg3s\n282bN5cLLrjAb8UNXc84OjpaOnbsaN/fpk0bU5Va9Dlat27Nuw4gYhGcKJBWhRMmTJDp06eb9W41\nFN99910ZMWKEefy6664z1WXgwshaUZ48edK+r2rVqjJgwACzrT/feusts3iy7qvP98orr5grEgBA\npKCPE/noYJ+bbrrJXuz4q6++Ms2v1apVk27dusm4ceNMH+fAgQP9jjt8+LD5qaFYuXJl+36doqL0\nOWvVqmW2//jHP5pBREpH4H7wwQdmLWQACHdUnMjnyy+/9LtCwDfffCMHDhww2zoQSGlwOudr6tUS\nrGM0OC1afeoIXB0wZDX17tixww5Nq79UwxkAIgHBiXxatWrld1sDT5tclVadKisrywz8sWRnZ9vb\nzuDUKw0cOnTIjLK1mnbr1Knj11+qoersLwWAcEZwIp9OnTrJY489ZgbxaH/kq6++asJN6aIGlSpV\nMtvLly8vMDi1grRY+zRs2PC//+iio+WWW24x2z179pSxY8fKhRdeyCcBICIQnCjQ9ddfbwJNBwbp\nVBQnq7nWGZxW/2ZgxWkteOAMTm2+nTZtmrnv//7v/6Rr1658CgAiBsGJU9J5mVoJ6uAdJ6u51tnP\n6QxLa9vq3wwMzs8//9yM2u3VqxfvPoCIQ3DitLQa/O677/yWyrMqzv3798tPP/10yj5Oq3/TGZwa\npi+//LLdTAsAkYbgxGnp9BM1ceLEfBWns7m2oKZaZ1OuFZy6pq1Wm8nJyXLOOefw7gOIOAQnTksD\nTwPu66+/NhWks+K01p4NbKq1Bgc5q1R9Hm3WtapNmmkBRCqCE4WyBu9YVaczOLUPU5tfAytOZ/+m\nLgCvy+5p36Y1hYXgBBCpCE4UOTjnzZsnmZmZfk21Bw8eNCsNBfZxOvs369evb35a1WZKSookJiby\nzgOISAQnCqULuOuCBSdOnJDXX3/dr+K0mmsD53EG9m9q3ybVJgAvIDhRJF26dDE/Z82a5bccn9KQ\nDKw4nf2bGrpWtakLKVx55ZW86wAiFsGJImnfvr29Jq2Gp5OuO6tNthbt77T6N9X69etl06ZNZrtZ\ns2ZSt25d3nUAEYvgRJHoUnsWZzWptC/TuWi7zvu0+jet2wU9DwBEIoITQbFnzx57e9euXbyrADyL\n63HCFV1btnv37sV6195//3358MMPeccBRDSCE66sWbPG7zqcbmhfJwBEOoITrkydOvWM3rGWLVvy\njgOIaPRxAgDgAsEJAIALBCcAAC7QxwlXhg0bJm3bti3WuzZ//ny/hREAIBIRnHClTp06kpSUVKx3\n7YcffuDdBhDxCE648vjjj5/RO8aoWgCRjuBEkWjz7GeffXbG71ZsbCzvOICIRnCiSPRi1HqVEwAo\n6xhVCwCACwQnAAAuEJwAALhAcAIA4ALBCQCACwQnAAAuEJwAALhAcAIA4ALBCQCACwQnAAAuEJwA\nALhAcAIA4ALBCQCACwQnAAAuRPl8Pl9hOx05ckTi4+MlJiZGGjduLF6SmZkpx48fl7i4OElOThYv\nSU9Pl2PHjkn58uUlMTFRvIbPLnLx2UWuTA9/Z6alpUlubq7k5ORIxYoVgxOcAAB4XWHB6epC1rGx\nsdKsWTPxEi9XZV7+y1Dx2UUuPrvIle7h78ytW7dKXl5eofu5Cs6mTZvK2rVrxUtSUlJk3bp15h/A\nzJkzxUtSU1PNP3INTa99borPLnLx2UWuFA9/Z/bp00cyMjIK3Y/BQQAAuEBwAgDgAsEJAIALBCcA\nAJEanCtWrJCePXtK+/btZcKECaV9OgAAnNmo2mA4efKkLFy40MyT6d69u5kqoXTSae/evWXnzp3m\n9vLly81o0B49etjHLVq0yBzXrVs3+zgAADxdcd50003StWtXE5Lt2rWT7Oxsc/+ePXvs0LQ4p1AM\nHjxYunTpIldffbW0adNGDh8+HOpTBwAgtMG5Zs0aeffdd+3bP/zwg3z00Udmu379+vL444+bZf3U\n7373O/n9739vHzdt2jS/QJ0xYwYfHwDA28HZqFEjqVChgt99zhVtHnvsMVNVqs8//1wSEhLMdr16\n9exAtTRp0iQk5wwAQEiD89ChQ3L06FGzXbNmTXnnnXekbdu25vawYcOkQ4cOfvsfPHjQ/HQ2xdap\nU0ceeeQRs12jRg158sknpVOnTub2iRMn7GMAAIjY4NTBPLfccotUr17dhN1zzz1n7r/22mtl9uzZ\nZnv37t35jisoOJVVcb722mt2iGozr4ZqtWrVzEAjDWkAACIyOD/++GN54403TIBqxXnffffJr7/+\naleeasGCBfmOs8IvMDitfXW9XMttt90mWVlZZvvLL7+UF198saReDgAAJRucunq+kwaoTiVRuqp+\n1apVTcUZuPi4VXFao22VXuFjyZIlfsGpz6f3O+mUFgAAIjI4tUnW6oeMioqSe+65x28gUK1atczP\n+fPn+x1nVZrOilPndGqQaqWqgWtOPDpaRo4cae9z4YUXyvDhw0vq5QAAULLBqQsU6EIH3333nT1/\n06mg4NSw1ErS2j5dM636+eefzc/vv/9eVq9eLbVr1y6plwMAQGhG1V5wwQVmFO3TTz9dYHBquPp8\nPrPtHNxTWHDu27fP9GnqqNzzzjuvpF8GAAChm8fZt29f+fDDD2Xjxo35gnPv3r1mIQTlnFZiBWdB\n/ZtKR+nq/gMGDAjFSwAAIHTBmZqaappgn3nmmXzB6WyudVac1uAgq39TJSUl2dXmCy+8YPo5+/fv\nH4qXAABA6IKzRYsWcu6558rUqVPtfklncFpNsQVVnM4pK1bFaVWbOvhIl+oDAMBzS+5p1anNrqNH\nj84XnNrPqRVpQX2cgcG5f/9+U22qgQMHhur0AQAIfXCqV1991fRrOoNTm151IffA4HT2b5YrV04S\nExPtalPngvbr1y9Upw8AQGiDU0e/arOq9ldqxegMTqufM7Cp1tm/qQvE631WtXnFFVfkew4AADwT\nnLoIQp8+fcz2uHHj8l2IWptkAyvOwGbaMWPGyIEDB8xtRtMCADx/WTGruVbXl33vvff8Hlu0aJFp\nsrVopekMTl016PnnnzfbGrrWcwEAEEr+F7ksYQ0aNLC333rrLb/HtJLU8LRoiG7atMm+PXfuXLsp\nV6+4UqVKlZCcMwAApRacTjo6NtC3335rb+uiCHqtTQvX3AQAlNng1L7Oyy67rFjHrl+/Xj755JOg\nnxMAAGEbnF26dJG77767WMfqRbAJTgBAmQrORx99NN+i726u8xk4IhcAAE8Hp047cU49ceuss84K\n6vkAABCW01EAAIh0BCcAAOHeVNuqVStJTk4u1rE7d+6UjIyMoJ8TAABhG5xDhgw5o1G1t956a9DP\nCQCAsA3OyZMny9KlS4t17C+//BL08wEAICyDMyEhQe66664zeo66detK586dg3ZOAACEbXBq6I0d\nOzaUvxIAgKBiVC0AAC4QnAAAuEBwAgDgAsEJAIALBCcAAC4QnAAAuEBwAgDgAsEJAIALBCcAAC4Q\nnAAAuEBwAgDgAsEJAIALBCcAAC4QnAAAuBDl8/l8he105MgRiY+Pl9jYWGnWrJl4SXp6uhw7dkzK\nly8viYmJ4iWZmZly/PhxiYuLk+TkZPEaPrvIxWcXubz82W3dulXy8vIkJydHKlasGJzgBADA6woL\nTlcXso6JiZHGjRuLl3i5KvPyX4aKzy5y8dlFrkwPf2empaVJbm5uofu5Cs5GjRrJzJkzxUtSU1NN\nwOg/gLVr14qXpKSkyLp160xoeu1zU3x2kYvPLnKlevg7s0WLFrJhw4ZC92NwEAAALhCcAAC4QHAC\nAOACwQkAgAsEJwAgLM2fP1+mTJkiO3fulHDialQtAAChcOedd8qLL75otqtVqyZLly6V5s2bSzig\n4gQAlIqVK1dK+/btJSkpSZ566in7fp0nOmHCBPv2gQMHZNKkSfbtVatWmeOaNm0qf//730N+3gQn\nACDkjh49Kj169JDly5fLli1b5JFHHrHnm+uiLa1bt/bb/6KLLrKPu+KKK8xxGRkZ8uijj8r7778f\n0nMnOAEAIXf48GHZt2+f330aoJavvvpKOnXqZLbfffddufHGG832wYMHJSsry+84DdBQIjgBACGX\nkJAgt9xyi31bVyK66aab7NuVK1eWs846y2y3bNnSvr9OnTpm9SJL7dq1ZeDAgRJKBCcAoMStXbtW\nhg0bJsOHD5f169eb+yZOnGiaXJX2WWooOml1aVWnTkOHDjU/Bw8ebJYVbdiwobkYydNPP23CeNq0\naSX6WhhVCwAoUbt27ZJLLrnEDPJR77zzjllQvUaNGtK2bVtz9a0FCxbkO+7QoUPmZ3Z2tt/9ixcv\nNj979+5tKlcrTKdOnWq233jjDXOBiz/84Q8l8nqoOAEAJWrZsmV2aCrto7QqTVWrVi359ddfZePG\njUWqOK2Q1VG1lnnz5vnt8/nnn0tJITgBACWqQ4cOUrVqVft29erV7VGyVnBaCx4UVHE6g1Ovlbli\nxYp8wdmnTx+/Y6+++mopKQQnAKBE1a5d2zSv3nXXXea2TjuxmlidwRnYXFtQxfn111+beZ5VqlSx\nj1NWs6wOMJo9e7bp/ywpBCcAoMSdf/75MnbsWDNCNvD6wKcKzoIqzoKaadU///lPc3Ht8ePHl2i1\nqQhOAEDI9O3bV1599VXZu3dvvuDUNWl1lKzSUbJ5eXn5BgcVFJy6AtEnn3wiV111lVmer6QRnACA\nkElNTTVB+MILL9j3OZtcrWC0qk1nxanHFdS/+fjjj5ufAwYMCMErIDgBACHUtm1badSokYwbN84O\nRGdwWgOErP5NZe33zTffmP5NpevbWtWm9mnqggk6PSUUqDgBACF17bXXmikpr7zySoEVp8/nK7Di\ndPaBWhXnE088YY+q1fmgoUBwAgBCKvW3JfNGjx4tubm5fsG5Z88e+fHHHwusOAODU6+S8vHHH5vb\noVx2j+AEAITU5ZdfblYN+uWXX2Ty5Ml+wWkFZGDF6ezfjIqKkiZNmth9m/pceqWVUCE4AQAhFRMT\nY/dHjho1yiyI4KT9nM6KU0PT2b9Zv359M/rWqjb79esnsbGxITt/ghMAUGrNtZs2bcq3YtDChQv9\nlujTijOwmdaqNkM5mtbCIu8AgJC79NJL7e2XXnpJypUrJydOnDC3deCQVpinCk4NVWuhd9W5c2cJ\nJYITABBy0dH/bfBcs2ZNvsc//fRTvwFD27Zts29///33fvtq6IYSwQkAKDVVqlTxWwDeyTm9RPcL\npH2eesmyUCM4AQClZtiwYeYC1MWho2zbtWsnoUZwAgBKzdKlS4sdnNu3b5fSQHACAErNwoULzX+R\nhOkoAAC4QHACAOACwQkAgAv0cQIASs0dd9whDzzwQLGO/eGHH8xVUUKN4AQAlJrs7GzZsWNHsY7d\nu3evlAaCEwBQaqZMmWL+iyQEJwAg5BISEswFqyMRg4MAAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB\n4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBACA4AQAoGVScAAC4EOUrwgXR\njhw5IvHx8RITEyONGzcWL8nMzJTjx49LXFycJCcni5ekp6fLsWPHpHz58pKYmChew2cXufjsIlem\nh78z09LSJDc3V3JycqRixYrBCU4AALyusOCMcfNksbGx0qxZM/ESL1dlXv7LUPHZRS4+u8iV7uHv\nzK1bt0peXl6h+7kKzqZNm8ratWvFS1JSUmTdunXmH8DMmTPFS1JTU80/cg1Nr31uis8ucvHZRa4U\nD39n9unTRzIyMgrdj8FBAAC4QHACAOACwQkAgAsEJwAALhCcQCF27twpt99+u3Ts2FHuuOMO2bVr\nF+8ZUIYRnMBv/v3vf8ubb75pRgw6Pfvss7JkyRI5dOiQfPPNN+a209KlSws8DoA3uZqOAnjVlClT\nZNSoUWY7Ojpaxo4dK126dDG39+zZ47fv7t277e2pU6fKM888Yx/33HPPSbdu3UJ67gBCi4oTEJG3\n3nrLfh9OnjwpM2bMsG8/+OCD9sIfOif2/vvv9wtO53Hvv/8+7yfgcQQnICLnn3/+KW+fffbZMnDg\nQLN98803S4sWLfwec3I+BsCbCE6USdrcumHDBlMlWlXl4MGDpUqVKtKoUSMZMmSI3/6HDx+21212\n0uOioqKkUqVKMmjQIBk6dKi5XxeK3rhxo+kXBeAtBCfKnEmTJkn37t3lhhtukOuvv14OHDgg1atX\nlwceeEDOOecc+fXXX+Xo0aN+x2RnZ9uLPzsdPHhQ9DoJXbt2lb/+9a9SoUIF2bx5s/Ts2dM8t/Z3\nzp8/P6SvD0DJIjhRpmjF+OKLL9qV5qZNm+TDDz+0H9cA1UWeV69eXaTgXLFihfnZsGFD+76JEyfa\nA4j0940ZM6YEXxGAUCM4UaboNWX1qg5OztsanGr58uVFCk5rP2dwBl6OSJtxAXgHwYkyRUPy4Ycf\nlqpVq5rbl156qfTt29d+vFq1akUOTm2iXblypdlu0KCBff+IESOkcuXKJqR18NBDDz1Uwq8KQCgR\nnChzrrnmGrOQQYcOHUzgOS/SblWcupiBFZbK2nYODvrpp59k//79+SpObf7VwUTaZ6rTWlq1ahWS\n1wUgNAhOlFk6oEevJ+hc4MAKTu3nXLVqVb5Rtc6K0+rf1AuF16lTx75//Pjxptrs0aNHSF4HgNAi\nOFGmg1OnjeiqQYFNtYHNtVZgOoPTerx+/fpmSop1nwZq+/btpWbNmiF5HQBCi+BEmVW3bl1p2bKl\nTJ8+3Z5vaVWcatmyZaesOE/VvzlhwgTzs1evXiF6FQBCjeBEmabzLDUU33nnnXzBqQskWIEa2MdZ\nUP+mVppaccbGxrJeLeBhBCekrDfXWmvO6qIHzqbaEydO2P2cgU21Vv+mMzitalNH6uoKRAC8ieBE\nmaaLtjdp0kSysrLMQgganFZ/pdVcq1Wmhqiz4nT2f2pwarOt1bRLMy3gbQQnyjzr8mFvvPGG+alz\nMC0akM5pKVpxOvs3reC0qk1d/ODyyy8v8+8p4GUEJ8o8q7n2l19+kTlz5vg11+pC7bp2rUUrzx9/\n/NHu31Q7d+6Ub7/91mx37tw538pBALyF4ESZd8EFF9hTR15//XW/4NQ1bRcuXOj3Hjlv16hRQyZP\nnmzfvvLKK8v8+wl4XUxpnwBQ2rRPU5fg037OtLQ0c4UTpwULFvjdXrRokb2tfZ5WtWkFKQBvo+IE\nAgReUkyba53Wr19/yn0BeB8VJ/CbpKQks0B7cenatAC8j+AEfqN9m2cyIjY6mgYcoCwgOIHffPfd\nd9K2bVveDwCnxZ/IAAC4QHACAOACwQkAgAv0cQK/0YtRn8nFp6dNm8Z7CZQBBCfwG72u5plMKdHr\negLwPoIT+I1eY3PQoEHFfj+OHz/OewmUAQQnICK33XabHDhw4Izei549e9rX5gTgXQQnICJ9+vTh\nfQBQJIyqBQDABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAX\nCE4AAFwgOAEAcIHgBADABYITAAAXonw+n6+wnY4cOSLx8fESGxsrzZo1Ey9JT0+XY8eOSfny5SUx\nMVG8JDMz01xcOS4uTpKTk8Vr+OwiF59d5Er38Hfm1q1bJS8vT3JycqRixYrBCU4AALyusOB0dSHr\nmJgYady4sXiJl6syL/9lqPjsIhefXeTK9PB3ZlpamuTm5ha6n6vgbNSokcycOVO8JDU11QSM/gNY\nu3ateElKSoqsW7fOhKbXPjfFZxe5+OwiV6qHvzNbtGghGzZsKHQ/BgcBAOACwQkAgAsEJwAALhCc\nAAC44GpwEM7Mt99+K1988YW0bNnSdLBHRUXxlgJAhCE4S8DJkyclOtq/mJ89e7b06dNHrGmz9913\nn4waNcpvH32MMAWA8EZTbRDt2bNHunTpYuZNtm3b1swJskydOtUOTTV58mR7e+/evdK1a1czT7Zd\nu3by008/BfO0AABBRHAG0V133SULFiwwFefKlSvlT3/6k/1Y7969/arJnj172tt33nmnzJ8/3xy3\nYsUKGT58eDBPCwAQRARnEB0+fNjv9oEDB+ztwYMHy6RJk8z2rbfeKq+//rr92P79+/2O27dvXzBP\nCwAQRARnEP3tb3+T6tWrm21trh05cqTf49WqVTM/a9as6dcH+uc//9m+rQvpP/zww8E8LQBAEBGc\nxbR792754x//aPo0n332WdPMevHFF8svv/ximmW1P/Oiiy7yO+bQoUMFVqb6HBqqeuWZzZs3mxG3\n6uWXX5YePXrIkCFD5Oeffy7uqQIAgohRtcU0aNAgmTdvntnWfk29esywYcPMivq6pq9emubrr7+W\nXr162cccPHiwwOBcs2aNaZ69/PLLpUGDBua+6dOnyx133GHv8/3338vy5cuLe7oAgCCh4iwmHcQT\nOEfTUqtWLfNTB/wUpeLU4FVJSUmnfP7Vq1ebKxIAAEoXwVlM/fr1s7d1tOx1111XaHBaFWd2dnaB\nwdm0aVP7vv79+0uFChXs2zfccIPpNwUAlC6Cs5gmTJggb7/9trl0lzbRXnvttfmCU6tE58jagipO\n7RtdvHhxvuC84IILpE6dOtKhQwdzSTCdBwoAKH0EZzHpYgUDBw40U0umTZvmV0VawXnixAk7FE/V\nx2n1bwYGp05d0QvG6txQDeVy5coV91QBAEFEcJ4hHQGblZUlr7zySr7gDGyuLajitJpptbm3SZMm\nZlv7Mv/5z3+aAUe6TB8AIHwQnGdIw+7CCy+U0aNHS25u7mmDs6CK0wrOevXq2X2ab7zxhmzdulWu\nueYaqVSp0pmeIgAgiAjOIFWd27dvlylTpuQLTmdTrFVxWs26BfVvWtWmGjBgQDBODwAQRARnEFgL\nFujVTjQMdfUgq09Sby9atCjfqFpdIKGg/s0333xTtmzZYhZEcM4BBQCEB4IzCHQErAafXtVkxowZ\npr+yRo0a+ZprrYpTQzMnJ8duprXmcOqiCVa12bdvX4mLiwvG6QEAgojgDBJrOoq1Pq2zudYKSKvi\ntPo5ncGpwat9mxkZGea2jtgFAIQfgjNItEJUq1atkrlz5/oFpy6Xp9fqdE5Z0RB1TlVJTEy0q83a\ntWtLt27dgnVqAIAgIjiD5JJLLjGBZ1WdzuDUptlPP/3U9HdalixZ4nf5MA1Rq9rUVYKYtwkA4Yng\nDNYbGR0trVu3NtvaBLtp0ya/x2fNmuV3e/bs2X6LKTivz6lXWQEAhCeCM4h0UJBlw4YNfo99/vnn\nfre1Odeig4J0JG1BzwMACC9cVizI9ELUVuVZHDpFBQAQvgjOINN+zqVLlxb7+ObNmwf1fAAAwUVw\nBtn+/ftlxIgRxT5+586dQT0fAEBwEZxBplNO/vWvfwX7aQEAYYLBQQAAuEBwAgDgAsEJAIAL9HEG\nWYMGDfzmZLrVqlWroJ4PACC4CM4gO3LkiMycObPYx1tXUAEAhCeCM8hzOCtWrCh33313sZ9DVw2q\nVKlSME8LABBEBGcQTZkyJZhPBwAIQwwOAgDABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXCE4A\nAFwgOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXCE4AAFyI8vl8vsJ2OnLkiMTH\nx0tMTIw0btxYvCQzM1OOHz8ucXFxkpycLF6Snp4ux44dk/Lly0tiYqJ4DZ9d5OKzi1yZHv7OTEtL\nk9zcXMnJyZGKFSsGJzgBAPC6woIzxs2TxcbGSrNmzcRLvFyVefkvQ8VnF7n47CJXuoe/M7du3Sp5\neXmF7ucqOJs2bSpr164VL0lJSZF169aZfwAzZ84UL0lNTTX/yDU0vfa5KT67yMVnF7lSPPyd2adP\nH8nIyCh0PwYHAQDgAsEJAIALBCcAAC4QnAAQwXTWw8mTJ0v7NMoUghMAIpCOmL/xxhulUqVKUqtW\nLZk6dWppn1KZQXACQBhbunSp3HvvvfL888/L0aNH7fs1KKdPny46FX///v0ydOhQyc7Oth9ftmyZ\nOe6FF17wOw5nztV0FABA6CxevFiuuOIKM29SzZ8/354CYt1nOXHihD0H8euvv5bu3bvb+8ybN08+\n/vhjProgoeIEgDD1wQcf+AXkrFmzTBOtuvXWW+Uvf/mL2a5bt6689957Uq1aNXP7/fff9ztu9uzZ\nVJ1BRHACQJi68sor/W5rFakr9ihdO/yee+4x223atDGT9y2XXnqp33EXX3yxVKhQISTnXBYQnAAQ\nJrZv3y4fffSRbNmyxdzu1auXqTo7duxobo8dO9Zv/0OHDpmfhw8f9rv/+uuvl0suucRsa9/njBkz\nzLYuYP7ll1/KkiVLTN8oiofgBIAwMHfuXLMWuC6VefbZZ5vmVnXddddJ//79zfbKlSv9jjl48GCB\nwak0fGvUqCEvv/yy1KtXzyxc3r59e1O1aqjq86J4CE4ACAPPPvus3Q+pg3xGjRplP6bTTazBQQVV\nnM7RtGrTpk2metX1xZ39nGvWrLFv6yCjH374oYRejbcRnAAQBurXr+93OyEhIV9wLliwoEgVp7Vf\nUlKSfV/Dhg399tG+Uh1UBPcITgAIA//4xz/MYCBd0ODcc8+Vf/3rX/mCU6/coZe+KqyP0wpOZ8Wp\n/aTaPFuuXDlp166dvP3221K7du0Sf11eRHACQBho0KCBfPbZZ2ahg6ysLL9q0ArOwObaU1WcCxcu\nzBecuq8e27t3b7M4gg4gQvEQnAAQRnRayd69e2XixIkFBqezudaqOLVP1Jq3afVvBganjsjdt2+f\nDBw4MCSvw8sITgAII9p8qqNedbCQtRKQLmyg8zZPVXE6Bwg5g9Xq49T9NDi1Gfiaa64J2WvxKoIT\nAMKMTknRvkzth1RRUVFmaonKzMyUzZs3+1WczuZaKzi1L7Nx48ZmW5t/tdrUajY+Pj7kr8drCE4A\nCDN9+/Y1P5955hl7oYKC+jmdFacVnFb/po6i1ZGzus+YMWPMfQMGDAjhq/AughMAwow2sZ5//vmy\nbt06s5LQqfo5AyvOgvo39eooWm1Wr15devbsGeJX4k0EJwCEaXOtevrpp4tccQb2b2qwWtWmTkWJ\njY0N2fl7GcEJAGEcnN9++60JSmdwalWp1aWz4tTBQc7g1IpTq02d2qJopg0eghMAwlDr1q2lSZMm\nZnvkyJF+wak0JAMrTqt/0xqd+9xzz5ntOnXqSNeuXUN27l5HcAJAmNKro1gXotZVg5y0CnVWnKtX\nr7b7N621aa1qU0fT6ihbBMd/JgYBAMJO1apV/S5iHVhxOhd316B0mjNnjr1tXeAawUFwAkAEOH78\nuN/tX3/91e/2+vXr/W5biycg+AhOAAhzuoZtcavGRx55JOjnU9YRnAAQ5mrWrGmvHORWXFxc0M+n\nrCM4ASDMtW/f/oyOb968edDOBYyqBQDAFaajAADgAsEJAIAL9HECQJh74oknin05sLfeeivo51PW\nEZwAEOaGDRsmCQkJxTp2xYoVQT+fso7gBIAwp5cYi44uXs+aLrunwYvgITgBIEwNHjxY2rZte8bP\nc+655wblfPAfBCcAhKlWrVqZ/xBeGFULAIALBCcAAC4QnAAAuEBwAgDgAsEJAIALBCcAAC4QnAAA\nuEBwAgDgAsEJAIALBCcAAC4QnAAAuEBwAgDgAsEJAIALBCcAAC5E+Xw+X2E7HTlyROLj4yU2Nlaa\nNWsmXpKeni7Hjh2T8uXLS2JionhJZmamHD9+XOLi4iQ5OVm8hs8ucvHZRa50D39nbt26VfLy8iQn\nJ0cqVqwYnOAEAMDrCgtOVxeyjomJkcaNG4uXeLkq8/JfhorPLnLx2UWuTA9/Z6alpUlubm6h+7kK\nzkaNGsnMmTPFS1JTU03A6D+AtWvXipekpKTIunXrTGh67XNTfHaRi88ucqV6+DuzRYsWsmHDhkL3\nY3AQAAAuEJwAALhAcAIA4ALBCQCAC64GBwHwno0bN8qMGTPMKMkbb7xRGjRoUNqnBIQ1ghMoI3bv\n3m3mplWuXNm+b8eOHXLzzTebeWvqk08+kdmzZ/vNYdu1a5eZx+08DijLaKoFPE7n3P3lL3+Rrl27\nymWXXSZvvvmm/diqVavs0LRCUitQ67j7779funXrJp06dZJJkyaVyvkD4YbgBDzu008/lc8//9xs\n63JiY8aMkaysLHP74osv9lvUROexNW/e3D5uzpw5doiOHTtW9uzZUyqvAQgnBCfgcbpyVKBy5cqZ\nnzVr1pQPPvjA9G82adJE3n77balQoYJ5LCoqyu+YIqzOCZQJBCfgcT169DDNrVZY3nPPPVKtWjW/\nYNVlxk6ePGmW1bRceeWVcu6555rt6OhoGTFihCQkJJTCKwDCC8EJeIg2qY4cOVJ69uwpt99+u7na\ng4ahNrPq/apq1ap+x2RnZ5tqUi/m4GRVoUpH3Q4dOtRsf/nll9K/f3/p16+ffPTRRyF7bUC4IDgB\nD9GBP9rcun37dlmyZIn87W9/sx+rXr26+blixYp8wamcg4QsK1euNBVpUlKSPXhIBxqtX79efvrp\nJ3nkkUdk06ZNJfyqgPBCcAIe8vPPP/vd3rJlS77gXLZsWYHBGVhxbt682QwG0nmd2lRrTV/RAUYW\nrVQ1pIGyhOAEPOTaa6/1Gww0YMCAfMGp4bdt27Z8wal9nM7wXL58ufnpXBChZcuW0rZtW/u2Xti+\nQ4cOJfZ6gHBEcAIe0rp1a5k1a5YMHjxY6tatK8OHD7cfcw4IskJRHT582N52Ntda+zRs2NC+T/tL\na9euLVWqVJHXX39dpk+fftoL/gJeRHACHqNBN2TIENMfOW/ePPt+Xf0nNjY2X3OtMyydFafVF+oM\nTm2+1TmhOkq3Xbt2BU51AbyO4AQ8SKeNnHfeeTJx4kS/+63m2sIqTg3IvXv35gvOl19+2TTp9urV\nq8RfAxCuCE7Ao7Qq1KvZL168OF9zrVaj1sAhq4/TGZzOYLX6ODMyMuSzzz4ziybQr4myjOAEPByc\n6rXXXstXcTrDsbDgtCrOl156yVSbV1xxhb2YAlAWEZyARyUmJppRr7qQ++rVq4sUnFYfp9W/qRWq\nDgSyqk111VVXhfR1AOGG4AQ8rEuXLn5VZ0EjawMrzoL6N62+TR2pqyN3gbKM4ATKQHPtokWLzEo/\nzopTFzfQkAysOAP7N7Uv1Ko2dSm/wMXfgbKG4AQ8LCUlxVSJSkfYOoNTaUgGjqoN7N/UavPEiRN2\ncAJlHcEJlJHmWp1/eejQIb/HdD6ncx6nbjvXstXAtK7Jqdft1CAGyjqCE/A4HSBkhWDg1Uw0JJ0V\n548//mj3byoNTavaPOecc0J2zkA4++/F9wB4nq5T65SVleUXnIELwOt8TwD+CE6gjOjYsWO+a3EW\nlQ4sAvAfBCdQRtx5553F7qMcM2aM3xVVgLKM4ATKiFGjRknlypWLdawugNC8efOgnxMQiQhOoIzQ\nFYTOBMEJ/AejagEAcIHgBADABZpqgTJCLwcWE1O8/+Wdy/IBZR3BCZQR48ePZ1QtEAQEJ1BGzJ49\n228dWjd0RSHnlVWAsozgBDwuISHBXAps7dq15r/iSkpKCup5AZGK4AQ8rmvXruY/AMHBqFoAAFwg\nOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAX\nCE4AAFwgOAEAcCHK5/P5CtspJydHKlWqJOXKlZPExETxkm3btkleXp7ExsZK06ZNxUs2b94subm5\nEhMTI40aNRKv4bOLXHx2kWubh78z09PT5fjx45KdnS3x8fFnFpxZWVlSq1atYJ8jAABhZ+/evVKz\nZs0zC86TJ0/K/v37pUKFChIVFRXscwQAoNRpHB49elSqV68u0dHRZxacAADgPxgcBACACwQnAAAu\nEJwAALhAcAIA4ALBCQCACwQnAAAuEJwAAEjR/T/4EDNmRSYQFgAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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pU/ESL1dlXv7LUPHZRS8+u+iV6+HvzKysLDly5Eix+7kKziZNmkhGRoZ4SXp6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\nwQkAgAsEJwAAUnL/H/vwRuHXkmqhAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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cAAD4XX7B6Woh69jYWKlXr574iZ+rMj//Zaj47LyLz867Mn38nZmeni4nTpzI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\nfa2PxToAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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8duHLy5/dzp07JTs7WzIyMqRcuXKBCU4AALwuv+B0dSHryMhIadCggXiJl6sy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\n4ALBCQCACwQnAABScP8HZSvSUqrBJ5oAAAAASUVORK5CYII=\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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nF72yffydmZGRIceOHctzP0/BWbduXUlPTxc/6dOnjwkY/Q+wfPly8ZO0tDRZ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\nwQkAgOTf/wfW6lbhPoF/nwAAAABJRU5ErkJggg==\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Xi4qKkpiYGPESL1dlXv7LUHHswhfHLnylePg7MzExUc6ePZvreq6Cs379+pKQ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\nYII=\n"
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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44rMLX5ke/s5MS0uTU6dOFbifq+CsW7eupKSkiJf069fPBIz+B7B+/XrxkuTk\nZNmwYYMJTa99borPLnzx2YWvfh7+zmzWrJmkpqYWuB+DgwAAcIHgBADABYITAAAXCE4AAFwgOIFC\n+Pnnn2XSpElmsBWA0s3VqFqgNJoxY4YMGTJEzp49K5GRkTJt2jQZNGhQSZ8WgBJCxQmIyN69e6V3\n795mytVdd90lx44ds9+X1157zYSm0p+6bdm3b5/06dPHPu7o0aO8n4DHEZyAiAwdOlQ+++wz2b59\nu7z//vvy9NNP2+/LVVdd5fMeXXHFFfZtrUQ//fRT+7i//e1vvJ+AxxGcwG+roTht3brVvj1mzBgZ\nPny4ua0/x40bZz+WkZHhc5z/NgDvITgBEfnzn/9s+i+Vrss8YsSI//8/SWSkNGjQwNxu0qSJlClT\nxn7s/vvvt2/r0oYPPvgg7yfgcQQnSp39+/fLX/7yF9Mn+cUXX5j77r33XrNOZdOmTaVq1arSrl07\nn2OOHDlifjr7PtV9990nERERpvlWR97ecMMN5v4pU6bI3XffLS+99JJZLxiAdzCqFqVOjx49ZOXK\nleb25MmTZfHixXL11VebqlLX9dUw3bJlizRs2NA+xhr0c/z4cZ/n+uabb0QvMNS+fXtp3Lixue+t\nt96SBx54wN5n06ZNMmHChCC9OgDFjYoTpcqhQ4fs0FQaegsWLLC3tdpUCxcuLFTFuWjRIvPTGbLO\n51Off/55QF8DgJJFcKJUqVy5srRp08be1mbWLl26FBicVsVZmODs27evzz69evUK6GsAULIITpQ6\nOu1Ep5tUqVJFnn32WenatWue4LQC8XwVp4bpDz/8YG5bg4fUgAEDpGLFitKhQwd599135dVXXy32\n1wQgeAhOlDrVq1eXp556Sm6++eY81ym1gnPHjh2yefPm81acS5culTNnzuSpOMePH2+C9plnnpF7\n7rlHoqOji/01AQgeghOlVv/+/WXVqlXy5Zdf5glO/+Zaq+J0Dg6yqtJq1apJ+fLl7cd13mdCQoJP\nEzAA7yA4UWppE602qb7wwgv5BqezuTa/ijO//k2tNnUZvltuucVnvicA7yA4UWppE6pOTfn6669l\nxYoVhao4reDMr3/TqjbV4MGDg/hKAAQTwQkp7c21atSoUXmCc/fu3ZKamppvxZlf/+a///1vs1h8\nYmKitG3bNsivBECwEJwo1Xr27GkqTx0ktHHjRp/gtKpODcisrCyf4HQ242pwarX58ssvm2295JhO\ncwHgTQQnSrUKFSqYvk5dCGH06NGmz1PXnLVoQDovFXau4LSqTcW1OgFvIzhR6lnNtdOnTzdXSdH5\nnRYNSKt/U2VnZ5vVh6z+TVWjRg272tS1blu2bFnq31PAywhOlHo33nijuQJKTk6OCUBnc+2ePXtk\n2bJleZbQs/o3tTqdM2cO1SZQihCcKPW0YkxKSjLvgy7GfvbsWZ/3RIPRSS9cbdGQHTt2rL3N3E3A\n+7g6CvDbNTetplhrJK1l3rx5Ptvz58/3GXnrxNxNwPsITuA3OrpWVwHKj17c2ql27dp59tFl+gB4\nH8EJ/ObKK68019csqnLlyvFeAqUAwQn8Zvv27fZCCEVhDRgC4G0EJ/Cbbdu2yf/+7//yfgA4L0bV\nAgDgAsEJAIALBCcAAC7Qxwn8pk2bNjJr1qwivx9NmjThvQRKAYIT+M2pU6fyLGgAAP4ITuA369at\nk3bt2vF+ADgvghMQybPMHgCcC4ODAABwgeAEAMAFghMAABcITgAAXCA4AQBwgeAEAMAFghMAABcI\nTgAAXCA4AQBwgeAEAMAFghMAABcITgAAXCA4AQAgOAEAKB5UnAAAuBCRm5ubW9BO2dnZEhcXJ1FR\nUZKYmChekpmZKTk5ORITEyNJSUniJenp6XLy5EkpW7as1KtXT7yGzy588dmFr0wPf2empaXJqVOn\nJCsrS2JjYwMTnAAAeF1BwRnl5smio6OlUaNG4iVersq8/Jeh4rMLX3x24Svdw9+Z27Ztk9OnTxe4\nn6vgbNiwoaxfv168JDk5WTZs2GD+A0hJSREv6devn/mPXEPTa5+b4rMLX3x24SvZw9+Zffv2lYyM\njAL3Y3AQAAAuEJwAALhAcAIA4ALBCQBAuAbnvHnzpGnTplK9enV54oknpBAzZQAACCpXo2oDQeeE\nzpgxw8yTGThwoFSrVs3cr9uDBg2So0ePmu0XX3xRrrrqKrnpppvM9okTJ+zjbrnlFvs4AAA8G5xn\nzpyR7t27y5IlS8z2P//5T1m3bp1UrVpVjh07JsePH/fZf9euXT7HLV682Gw/99xz8uOPPxKeAABv\nN9WuXbvWDk21c+dO+eyzz8xtbZ595513pGLFimZbq8+7777bPs4KTStQ586dG8xTBwAg+MHZpEkT\nqVy5sr2ta9+2bt3a3r7nnnvkyiuvNLfffPNNiY+PN7d1tSLnkn8RERHSsmXLYJ46AADBCU5dsWbr\n1q3mdvny5WX+/PlmRRs1fPhwswqF05EjR8xPZ7NtpUqVTPOsuuSSS2TSpElyxRVXmO29e/ea5l5t\nzgUAIGyDU9cy7Nq1qzRv3lwaNGggjzzyiLm/bdu28vbbb5vbmzZtynOcNThI+zydDh48aH6+/PLL\ncscdd9hVaa1ateTyyy83Afzrr78W18sBAKB4g/OTTz6RhQsX2tuvvvqqXXlWqVLFNLdqf+fZs2fz\nrTj9g3PRokX2erlKj3v88cftBXk1hMePH19cLwcAgOINTv/LkGlQap+mKlOmjGl+PXz4sKxZs6bA\nilOnoqxYscLc1urVej6rD9RSoUKFYno1AAAUc3D27t1bbr/9dnPpGQ25sWPHSp06dezHdQqKclal\nuuCBFZjO4Pzuu+9M06+OvLXCUp/zlVdeMbf1Pu03feihh4rr5QAAULzBGRkZKZMnT5YdO3aY25dd\ndpnP4/kFp4altVqQc3CQfzOt5dtvvzXPrVft1qZh/woUAICwG1WrK/x07NhRXnjhhXyD85tvvrFH\nxFr9m/4VZ37BqYE8YcIE6dKliyQkJBT3ywAAIHjzOPv37y9ffvmlrFq1Kk9waliuXr3ap3/TGZzO\n/k1ncI4aNco03+pCCQAAeCo4rXmbzqrTCk5nc21+FafVv+kcGKQrDukqQ9p/aq1lCwCAZ4IzMTFR\nWrVqJSkpKZKamnrO4Myv4rSaaZ0Vpwawhun1119vprYAAOC5Jfe06tS5l3rVE//g1EE+Oh8zv4rT\nPzi12tS+TTV48OBgnT4AAMEPTjV16lT55ZdffIJTQ3LlypU+FaeOqnX2b2qzrE5n0b5NvT82NlZu\nvPHGYJ0+AADBDc4WLVpIUlKS5OTkyJgxY3yC02qu9a84nf2b2tyrS+pp36Y1T1TXvgUAwLNXR7Eq\nRA0/a76mRZtk/fs4/ZtprWpTMZoWAOD54OzTp4/5mZWVZZpsnbSfc9++fecMTm2atRaH1+X8evbs\nGbTzBgDA8t/FY4Pk4osvtm/PmjXL5zEN06+++sre1hDVFYEsn3/+uV1t6pq05cqVC8o5AwBQYsHp\nlJ2dnee+H3/80ec6nk5WaAIAUOqC86677pJevXoV6VhdZWjixIkBPycAAEI2OPWi0zoqtij0kmQE\nJwCgVAXnY489Zv4VVY0aNQJ6PgAAhOSoWgAAwh3BCQCACwQnAACh3sfZqVMnc7WUosjIyJDly5cH\n/JwAAAjZ4NQLWw8fPrxIx3766acEJwCgdAXnuHHjZMaMGUU69tChQwE/HwAAQjI4a9asKWPHjr3g\n54mPjw/I+QAAENLBqZcSK2oTLQAAoYBRtQAAuEBwAgDgAsEJAIALBCcAAC4QnAAAuEBwAgDgAsEJ\nAIALBCcAAC4QnAAAuEBwAgDgAsEJAIALBCcAAC4QnAAAuEBwAgDgQkRubm5uQTtlZ2dLXFycREdH\nS6NGjcRL0tPT5eTJk1K2bFmpV6+eeElmZqbk5ORITEyMJCUlidfw2YUvPrvwle7h78xt27bJ6dOn\nJSsrS2JjYwMTnAAAeF1BwenqQtZRUVGSmJgoXuLlqszLfxkqPrvwxWcXvjI9/J2ZlpYmp06dKnA/\nV8FZt25dSUlJES/p16+fCRj9D2D9+vXiJcnJybJhwwYTml773BSfXfjiswtf/Tz8ndmsWTNJTU0t\ncD8GBwEA4ALBCQCACwQnAAAuEJwAALjganAQACC0RrguWLBAqlSpIr169TJz7VH8CE4ACHFnz56V\nyEjfBsKtW7fKwIEDzTx7NX/+fHn77bd99tFp+hEREUE919KAploACFE6X3LkyJHSunVr6d69u6xY\nscJ+7Msvv7RDU33//feyb98++7i//vWvcsUVV5jjli1bViLn71UEJwCEqKlTp8qcOXPMMnA7duyQ\nJ5980lSRqm3btlKuXDmfOYgXXXSRfdzs2bPt45544glTtSIwCE4ACOGl3/y3z5w5Y243b97cBKRq\n1aqVTJ48WcqUKWO2jx49es7jcOEITgAIUdqHWadOHXv7T3/6k1n61FK+fHnzU9dVdVafAwYMkAoV\nKtjbw4YNM0tvIjAITgAIAbpG6vjx4+Wee+6Rl19+2VSJ1apVk7lz55r7VJMmTXyOOX78eL6VqYZt\n48aNTQWqy23ed9995v4lS5bIww8/LCNGjPDccnnBxKhaAAgBGpoTJ040t1euXCnHjh2Tp59+2lSY\nVtW5atUqadmyZYHBqRd3+OmnnyQhIcFeiF3Xl/3jH/9oN9kuX75cPv/8c4mPjw/aa/QKKk4ACAH+\nFaAGn6Vy5crmp3NU7fmC88cffzQVbO3ate37dPFyZz/n4cOHzTxQuEdwAkAIuPbaa8+5bQXn2rVr\nzVQTi1alyjktxapYlbN/VEfhVq9e3d5u1KiRXHLJJQF/HaUBTbUAEAIGDx5sLt2oo2NPnDgh//M/\n/2M/VqlSJTsgf/75ZzOK1llp+lec+QVn1apV7aB89NFH5ZprrvEZaITCo+IEgBDRsWNHM5BHK0vt\nk/SvOP2ba62KU4PWmt9p9W/6B6fe9+2335ql+fRfXFxcUF6TFxGcABBCdLUfrTDfe++9fIPTqiad\nfZwamlZzrdW/qZx9nG+88Yb52aNHjyC8Cm8jOAEghOgUks6dO8u8efNk586d5j5dvF3naiqtRq1g\ntILT2VzrDFar4tTm3aVLl0r9+vXNCkO4MAQnAISYrl27muXyJk2alKfq1KbYdevW5QlOq+K0glOb\nYvWqKer11183P6k2A4PgBIAQ0759e1NhfvLJJ3LgwIFzNtf6V5z59W/qNBetNpUu+I4LR3ACQIjR\n5fM0PHXQj7UerTWy1jlAyD848+vftKrNpk2bSsOGDYP6OryK4ASAEG2uVTNmzDCjZ50VpzbVanVp\njaq1gtO/f1OrTV1mT9FMGzgEJwCEIB0gpPMs9UonM2fO9Kk4tarU6tI5fzO/4LRG0urFrGmmDRyC\nEwBCkAalXsBaTZkyJc+8S22udTbVHjp0yGeZviNHjsjixYvN7csvv1xq1aoVtHP3OoITAELUpZde\nan7u27dPFi1a5POYVpfO4Pz+++/t/k2lV1WxtGjRIijnW1qw3hIAhChtYrVkZGT4PKbVpbVakBWc\nTs4F3J3PgwtHcAJAGFSeRV1XliugBB7BCQAh7s0335SLLrqoSMc+9thjAT+f0o7gBIAQN27cOLPs\nXlFs3LhRatSoEfBzKs0ITgAIcR9//HFJnwIcGFULAIALBCcAAC4QnAAAuEAfJwCEuIULF/qsVevG\nk08+GfDzKe0ITgAIcXpZsPj4+CIdu2fPHklISAj4OZVmBCcAhKgKFSpI9erVZfz48Rf0PB06dAjY\nOYHgBICQ9fvf/978Q2hhcBAAAC4QnAAAuEBwAgDgAsEJAIALBCcAAC4QnAAAuEBwAgDgAsEJAIAL\nBCcAAC4QnAAAuEBwAgDgAsEJAIALBCcAAC4QnAAAuEBwAgDgQkRubm5uQTtlZ2dLXFycREVFSWJi\nonhJZmam5OTkSExMjCQlJYmXpKeny8mTJ6Vs2bJSr1498Ro+u/DFZxe+Mj38nZmWlianTp2SrKws\niY2NDUxwAgDgdQUFZ5SbJ4uOjpZGjRqJl3i5KvPyX4aKzy588dmFr3QPf2du27ZNTp8+XeB+roKz\nYcOGsn79evGS5ORk2bBhg/kPICUlRbykX79+5j9yDU2vfW6Kzy588dmFr2QPf2f27dtXMjIyCtyP\nwUEAALhAcAIA4ALBCQCACwQnADPYozCDIgAQnECp98gjj0iFChWkUqVK8tJLL5X69wMoCBUnUAps\n3LhRnnjiCRk1apQcOnTIvn/hwoXy6quvmmlLOnft8ccfly1bttiPp6am2scdPHiwhM4eCC2upqMA\nCD//+c9/pH379nZgzpw5U1avXi0RERGmidafdZ8e165dO/u4Dz74QNasWSORkfy9jdKN/wMAj5s3\nb55PlanhZ1WV3bt3lzFjxkiZMmVMc+2ECROkWbNm+R63bt062bx5cwm8AiC0EJyAx3Xr1s2sM21p\n0qSJNGjQwN5+9NFHTXDqhPZ7773Xvr9Dhw6mKrXUrVvXLIIClHYEJ+AxBw4ckDlz5pjVXdRll10m\nn3/+ufTo0cNsv/LKKz7Nrdo0qwtbHzt2zOd5rrzySrntttvM7ZtuukkWLFhgllk7e/asLF261PSP\nMhIXpRHBCXiINqfqEos33nijNG/eXMaNG2fu79q1q9x///3mtvZvOh05csT89A9OZS0/9t5775lK\nVa8JoQHcqVMn85wdO3Y0oQuUJgQn4CHjx4+3+yU15P75z3/aj1WtWtX81ErR6ejRo+bn8ePHfe7X\nUbYrV640x1WsWNHcp9tffPGFvc/y5ctNNQuUJgQn4CG1atXy2b744ovzBOf333/vM5rWqjhPnDgh\nZ86cse//9ttvzTQVZ39oQkKC6Q910r5PoDQhOAEPGTFihNxyyy1mMYMaNWrI1KlT8wSnBuSyZcvy\nVJz+zbWLFi0yP50DgnQAkS6YoC6//HJT4bZs2bKYXxUQWghOwEN0SonO0/zoo4/MggVaIVqqVKli\nj5J1NtdaFWdhglMr0rlz55rQXLt2rTz00EPF/pqAUENwAh7UuXNniY+PNyNoLTolxeqrtELxXBWn\n1b/pH5zTpk0zczkHDx4clNcBhCKCE/AgDcnevXvLW2+9Zaan+DfXalNtdnZ2norTGiBk9W8qq49T\nq83nn3/e3L711luD+GqA0EJwAh7Vr18/U0FqP6R/cOrgIB0kdK6K01mRWhXn9OnT7WX46tevH7TX\nAYQaghPwKF1OLzY21iziblWSVnA6+znz6+O0glMrVx0QpNXmc889Z+4bNGhQUF8HEGoITsCj4uLi\n5LrrrpP9+/fLO++8kyc4rXD0rzid/Zs61UTDUxd412pTVxwaOHBg0F8LEEoITsDjzbVKF3LXPktn\ncOriBRqS/hWnf/+mLrFnVZtdunTxGakLlEYEJ+Bhffr0MQsWbN++3czpdAanhqOGpLPi1CZd//5N\nrTY3bdpktmmmBQhOwNN05SBdT1aNHj1aLrroIp/HNST9K05ncOogIKva1AXedbF3oLSj4gQ8rmfP\nnuanVo2LFy/2eUwHCDkrzj179tj9m1Zzbmpqqj03VBdRAEo7ghPwOGvRA6WXG3PSkNy1a5e9rQu2\nW/2bav78+fZtXcYPAMEJlCrOUFR6Pc0tW7bY2xs3bszzOABf//+y8AA8beLEidK0adMiHfv666+b\nEbgACE6g1KhcubLPZcbczgklOIH/ouIESon+/ftf0PGMqAX+i8FBAAC4QHACAOACwQkAgAv0cQKl\nxCOPPCJ16tQp0rHz5s0L+PkA4YrgBEqJoUOHSps2bYp07L59+yQtLS3g5wSEI4ITKCV69epl1pst\nCl3P9vrrrw/4OQHhiOAEPE4Db9asWRf8PEVt5gW8huAEPE4vDab/AAQGo2oBAHCB4AQAwAWCEwAA\nFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQAwAWCEwAAFwhOAABcIDgBAHCB4AQA\nwIWI3Nzc3IJ2ys7Olri4OImOjpZGjRqJl6Snp8vJkyfNBX7r1asnXpKZmSk5OTkSExMjSUlJ4jV8\nduGLzy58pXv4O3Pbtm1y+vRpycrKktjY2MAEJwAAXldQcLq6kHVUVJQkJiaKl3i5KvPyX4aKzy58\n8dmFr0wPf2empaXJqVOnCtzPVXDWrVtXUlJSxEv69etnAkb/A1i/fr14SXJysmzYsMGEptc+N8Vn\nF7747MJXPw9/ZzZr1kxSU1ML3I/BQQAAuEBwAgDgAsEJAIALBCcAAC64GhwEnMuOHTtkxowZZrTd\ngAEDpHHjxrxZADyJ4IQrBw8elIiICKlcubLPPN877rhD9uzZY7Y/+eQTmT17tiQkJNj7HDhwQMqU\nKSOVKlXiHQcQ1miqRaHoOhmjR4+Wzp07m39627Jp0yY7NK3Jwz/88IN93EsvvSRdunSRTp06yahR\no3jHAYQ1ghOFsmrVKpk6daoJwrNnz5rbGzdutOc+tWjRwt63Vq1actVVV9nHTZ482T5u2rRp8vPP\nP/OuAwhbBCcKRVcfyvMfT+R///PRFUQ0HHWBDF2aUZtpL774YvOYNusCgJcQnCiUli1byqBBg8yy\ni2rw4MHSpEkT+3Htv9SBQbpcVbly5ez7W7duLR06dLC3b775ZmnevDnvOoCwRXAiD21WfeONN6RX\nr15m0M9PP/1k7h85cqRMmjTJ3M5vkM/x48fNlQU0QC1acVojbP/973/LU089ZW6vXr1abr/9dunb\nt6+89957fAoAwgbBiTzmz58vr7/+ulnMec2aNTJ8+HA5c+aMeeyiiy4yP1euXJnnOB0U5Pxp0X5O\nZVWouvD8I488ImvXrpWMjAwZO3asLFmyhE8CQFggOJHH9u3bfbZ1xKwVhlaluW7dOjlx4oTPlBQr\nXJ3Bqbd1EJFey7V69ermvqNHj8rhw4d9fscvv/zCJwEgLBCcyKN79+5Svnx5e1ubbCtUqGBuV6xY\n0e7P1IrR2UxrcQanNslq862OtLUGCunAIX1Oiwbq9ddfzycBICwQnMhDL0M2d+5c05yqF3PVvk2L\nhp+Gp39z7bmC09qnTp06Pr+jZs2aZlTua6+9Zn5XtWrV+CQAhAWCE/nSqvDOO+80o2hnzpzp85jV\nXHuu4NRmW//+TWdwajPtBx98IG3atDELI+gUFgAIFwQnzjt3s2PHjjJlyhQzoMdiLbeno22t6jK/\nitPq3/QPzvfff9/sr03CABBuCE6cV7du3WT//v2SkpKSJzi179Lq58wvOK3+TWdwarU5ffp0U8le\nd911vPsAwg7BifO6+uqrzYjYiRMn2qNmnXM4rebaY8eO5QlOZ1OuFZxWtdmuXTufheIBIFwQnDgv\n7X9s27atuWyYzu9UzsBbsWJFvlNQnP2bVnBa1abq0aMH7zyAsERwokBdu3Y1P999912zqpAzODds\n2GCC0r/idPZv6qIJ8fHxdrWpa9tazwkA4YbgRIF05KtOHUlLSzMr/DibarUPUy8h5j+q1tm/Wbt2\nbXskrdLLi2mQAkA4IjhRoKpVq5pF3tWECRPy9E1qc63/4CD//k29eopVldJMCyCcEZwoFKtpVUfR\nauXppCHpH5zO/k1dMMHq29RKUytOAAhX/71GFFCApKQk+/bHH3/s85j2ZVpL8ql9+/bZ/Ztq0aJF\ndrWZmJho+jgBIFxRccK13bt3+2zrNBXt07Q4+zetReIBwCuoOOFKq1atpEaNGkV61/QKKDoqFwDC\nGcEJV4YOHVrkK5nomrcfffQR7ziAsEZwwhWdyzl79uwivWu7du0y698CQDgjOOGKLnhwIS699FLe\ncQBhjcFBAAC4QHACAOACTbVwRZfbK+o8TOcFrgEgXBGccOXvf/87o2oBlGoEJ1xZvHix7Ny5s0jv\n2rp163i3AYQ9ghOFouvN6uIHuoiB/iuqpk2b8o4DCGsEJwqlRYsW5gonAFDaMaoWAAAXCE4AAFwg\nOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAXCE4AAFwgOAEAcIHgBADABYITAAAX\nCE4AAFyIyM3NzS1op6ysLImPj5cyZcpIvXr1xEv02pKnT5+W6OhoadiwoXjJli1b5NSpUxIVFSV1\n69YVr+GzC198duHrFw9/Z6anp0tOTo4cP35c4uLiLiw4Dxw4IFWrVg30OQIAEHL2798vVapUubDg\nPHv2rBw6dEjKlSsnERERgT5HAABKnMbhiRMnpHLlyhIZGXlhwQkAAP6LwUEAALhAcAIA4ALBCQCA\nCwQnAAAuEJwAALhAcAIA4ALBCQCAFN7/A637kmkOOMqiAAAAAElFTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "10 runs, number of solutions = 9, 0 duplicate(s)"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "for i in range(10):\n",
        "  state = create_initial_state(8)\n",
        "\n",
        "  new_state = hill_climbing(state)\n",
        "\n",
        "  if (new_state != None):\n",
        "    display_n_queens(new_state, 6)\n",
        "    if tuple(new_state) in explored:\n",
        "      nb_duplicates += 1\n",
        "    solutions += 1\n",
        "\n",
        "print(f\"10 runs, number of solutions = {solutions}, {nb_duplicates} duplicate(s)\")"
      ],
      "id": "d8d8f657"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Solve (2)"
      ],
      "id": "9f2099e7-0c07-47cd-add4-7edc28b4b8a5"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1000 runs, number of solutions = 704, 92 unique solutions"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "nb_runs = 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} runs, number of solutions = {solutions}, {len(explored)} unique solutions\")"
      ],
      "id": "2a19113b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Solve 40-Queens\n",
        "\n",
        "$40! = 8.1591528325 \\times 10^{47}$\n",
        "\n",
        ". . ."
      ],
      "id": "1b796c83-d3f3-4530-bda3-21f5c3855b88"
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "10 runs, number of solutions = 6, 6 unique solutions"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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PPPFEadeuXYG2HQAAIBoxjNZHiYmJ0rhx44iPD18iBUCub775Rl5//XVZsmSJ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\nTkSuQmCC\n"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Elapsed time: 14.1312 seconds"
          ]
        }
      ],
      "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 = 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} runs, number of solutions = {solutions}, {len(explored)} unique solutions\")\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\"Elapsed time: {elapsed_time:.4f} seconds\")"
      ],
      "id": "26c00f28"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Iterations and Side Moves"
      ],
      "id": "3edda9c0-1808-46bf-95c8-23a66ff97266"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [],
      "source": [
        "MAX_SIDE_MOVES = 100\n",
        "\n",
        "def hill_climbing_counts(current_state):\n",
        "\n",
        "    conflicts_current_state = calculate_conflicts(current_state)\n",
        "    side_moves = 0\n",
        "    iterations = 0\n",
        "\n",
        "    while True:\n",
        "\n",
        "        if conflicts_current_state == 0:\n",
        "          return (iterations, side_moves, current_state)\n",
        "\n",
        "        iterations += 1\n",
        "\n",
        "        neighbors = get_neighbors(current_state)\n",
        "\n",
        "        conflicts = [calculate_conflicts(voisin) for voisin in neighbors]\n",
        "\n",
        "        if (min(conflicts)) > conflicts_current_state:\n",
        "          return (iterations, side_moves, None)  # No improvement, local maxima\n",
        "\n",
        "        if (min(conflicts)) == conflicts_current_state:\n",
        "          side_moves += 1  # Plateau\n",
        "\n",
        "        if side_moves > MAX_SIDE_MOVES:\n",
        "          return (iterations, side_moves, None)\n",
        "\n",
        "        arg_best = np.argmin(conflicts)\n",
        "        current_state = neighbors[arg_best]\n",
        "        conflicts_current_state = conflicts[arg_best]"
      ],
      "id": "2755c2bd"
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1000 runs, number of solutions = 704, 92 unique solutions"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "nb_runs = 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} runs, number of solutions = {solutions}, {len(explored)} unique solutions\")"
      ],
      "id": "a80648e7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Iterations and Side Moves"
      ],
      "id": "2c5a3170-60f6-43c9-9540-40b7ac7b07b9"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "output-location": "slide"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/var/folders/gh/zd7z03rs5dj7q_df5gz5jlmh0000gp/T/ipykernel_70385/2749126315.py:20: UserWarning: No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n",
            "  plt.legend()"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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yp0/acejYIY1cNtINjW9RoYUqF60sfxYeGq7X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\n/NutAAAAAElFTkSuQmCC\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(\"Histogram of Iterations\")\n",
        "axes[0].set_xlabel(\"Iterations\")\n",
        "axes[0].set_ylabel(\"Frequency\")\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(\"Histogram of Side Moves\")\n",
        "axes[1].set_xlabel(\"# Side Moves\")\n",
        "\n",
        "# Afficher le graphique\n",
        "plt.legend()\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "c5177ca5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 20-Queens"
      ],
      "id": "9bbdda16-d2fc-482c-a716-9b0eefd1ca12"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1000 runs, number of solutions = 566, 566 unique solutions"
          ]
        }
      ],
      "source": [
        "random.seed(7)\n",
        "\n",
        "solutions = 0\n",
        "\n",
        "explored = set()\n",
        "nb_duplicates = 0\n",
        "\n",
        "nb_runs = 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} runs, number of solutions = {solutions}, {len(explored)} unique solutions\")"
      ],
      "id": "61776b81"
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "output-location": "slide"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/var/folders/gh/zd7z03rs5dj7q_df5gz5jlmh0000gp/T/ipykernel_70385/2749126315.py:20: UserWarning: No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n",
            "  plt.legend()"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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66qmntHbtWjVs2FD9+/dXgwYNgtBaIGMOJx3W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Lb6WIlN4jbmnmcvKKfdMunrVD+mVY/ZCdCJMN+TJOnKlSvjzE2SraOvTddQNp6nlZ3z589P6urq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\nMbEpSZIkSZIkKSk2fwPxqmJzccaisAAAAABJRU5ErkJggg==\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(\"Histogram of Iterations\")\n",
        "axes[0].set_xlabel(\"Iterations\")\n",
        "axes[0].set_ylabel(\"Frequency\")\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(\"Histogram of Side Moves\")\n",
        "axes[1].set_xlabel(\"# Side Moves\")\n",
        "\n",
        "# Afficher le graphique\n",
        "plt.legend()\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "79db01f1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Russell & Norvig\n",
        "\n",
        "- Hill climbing **gets stuck 86%** of the time.\n",
        "  - Successful attempts average 4 steps to a solution.\n",
        "- Permitting **100 lateral moves** boosts success rate from 14% to 94%.\n",
        "- The problem space comprises $8^8 = 16,777,216$ states.\n",
        "  - Implementation from Russell & Norvig\n",
        "\n",
        "Has many variants, including **random-restart hill climbing**.\n",
        "\n",
        "In the implementation I proposed, there do not appear to be any local\n",
        "minima. However, this requires further verification.\n",
        "\n",
        "## Escaping a Local Optimum\n",
        "\n",
        "What mechanisms would enable the **hill climbing** algorithm to escape\n",
        "from a local optimum, whether it be a local minimum or maximum?\n",
        "\n",
        "It needs to accept going downhill.\n",
        "\n",
        "A random walk approach, which disregards the value of the objective\n",
        "function, could theoretically locate the global maximum. However, this\n",
        "method is highly impractical due to its extreme inefficiency.\n",
        "\n",
        "## Remark\n",
        "\n",
        "Assume the optimization problem is a **minimization task**, where the\n",
        "goal is to find a solution with the **minimum cost**.\n",
        "\n",
        "Downhill, gradient descent.\n",
        "\n",
        "# Simulated Annealing\n",
        "\n",
        "## Definition\n",
        "\n",
        "**Simulated annealing** is an optimization algorithm inspired by the\n",
        "annealing process in metallurgy. It probabilistically explores the\n",
        "solution space by allowing **occasional uphill moves**, which helps\n",
        "**escape local optima**. The algorithm **gradually reduces the\n",
        "probability of accepting worse solutions** by lowering a “temperature”\n",
        "parameter, ultimately converging towards an optimal or near-optimal\n",
        "solution.\n",
        "\n",
        "## Annealing\n",
        "\n",
        ">  **(Russell and Norvig 2020, 114)**\n",
        ">\n",
        "> In **metallurgy**, **annealing** is the process used to temper or\n",
        "> harden metals and glass by **heating them to a high temperature** and\n",
        "> **then gradually cooling them**, thus allowing the material to reach a\n",
        "> **low-energy crystalline state**.\n",
        "\n",
        "The solid is heated to its melting point, causing the particles to\n",
        "become randomly distributed.\n",
        "\n",
        "Subsequently, the material is gradually cooled, allowing the particles\n",
        "to reorganize into a low-energy state.\n",
        "\n",
        "## Algorithm\n",
        "\n",
        "![](attachment:../../assets/images/search_simulated_annealing.png)\n",
        "\n",
        "**Attribution**: (Russell and Norvig 2020, 115)\n",
        "\n",
        "1.  This algorithm resembles hill climbing but differs by randomly\n",
        "    selecting the next state rather than choosing the optimal move.\n",
        "\n",
        "2.  If the move results in a lower objective function value, it is\n",
        "    accepted unconditionally.\n",
        "\n",
        "3.  Otherwise, acceptance is probabilistic, contingent on both\n",
        "    $\\Delta E$ and $T$.\n",
        "\n",
        "## Varying $\\Delta E$"
      ],
      "attachments": {
        "../../assets/images/search_simulated_annealing.png": {
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yXG9vbwCAv78/+vTpg+XLl5vb2SqVCh07duSVy9gdk8vl5nzt5OyEhx9+GF988YV5MEom\nk6FNmzbw9PS810m96wRBgFqthlqthqOjoznAzRT0otFo0LlzZ6jV6nudVDOFQmEuO+rXr4/MzEws\nXbrUXHYolUq0b98ejo6OdzVd3t7e+PDDD+Hm5oa5c+firbfeQklJCUaMGMGBLzWMiHDx4kXMnj0b\n58+fR1BQkCRQizF279SrVw/ffPMNANO9Go3x459HTEzMvU7aXeXv74+goCCcOXPGvBKZIAiIiIiA\nh7vHvU4eY4wxxqrpgVgOIz4uHps3b7baSJLL5ahfvz5kMhmICOfOnUNCQoLV78nIyDDve87uDa1W\ni2+++QZ79+6tUqNXkAnw8/Oz2dkul8vh6+vLezPXAqPRiN9++w2bNm0yB7wolUqMHz8er7/+OurV\nqweFQmFeUlkQBMhkMjg7O6N9+/b4+uuvMXv2bIsO+by8PL4nGWP/WlqtFuvXr5eUcwaDAZs3b0ZG\nRsa9Th5jjEkQEc6ePYvnn38eu3fvRosWLfDVV1+hXbt2HPByn0hPT5c8P2QyGSIiIuDs7FyrxxVF\nESdOHJcsAe/u7o7w8HDOG6xGCRCQlpYmmcSkVCrRoUOH/3xggtFoRHx8vGTSkLu7O1q1anXfrnQr\niiKOHDkiKTucnZ0RHh5+T4K/XV1d8eqrr2LSpEnIzs7GBx98gG3bttk3EYvZLSsrCzNnzkR0dPT/\nXvz3LhjB2APFFGjq4uICV1dXtGvXHn369HngJ+To9foqbdHk6+uLTz75BGFhYXBycoKrqyt69eqF\n11577a4HZbI7R0QWWyner0RRtJiszxhjrObcny3jcogI58+fr3A1CJlMBgcHB/Nge2lpaYXBFHXr\n1oWDg8O9/kn/WQaDAevWrcPPP/9sdQlBW2SCDH369EHdunUrfI+fnx/69u3LQS+1ICMjA8uXL5cM\n3DZv3hzPPfecxWzT2wmCAHd3d4wfPx5ffPEF6tWrZ/6bKIrIy8t7ICqljDFWVZcuXcLu3bstOl+i\no6Oxb9++/9y+2Yyx+1tcXBwmT56MU6dOwc/PD59++inat2/Pdev7BBHh9OnTkvq4g4MDunfvXusD\nFUVFRTh27Likne3r64ugoCBzO5yxmmAwGHDixAlJf4GjoyMiIiL+82VRfn4+Tp8+LXnNz88PTZo0\nuW+3oCgpKcGxY8ckdd66desiJCTknpUdrq6ueOONNzBs2DCkpaXhvffew8GDB3klkhqi1Wrx7bff\nYvPmzeZBPX5OMHb/kslkaNq0qdXtxwgPRl9tSUkJFi5ciNNnTtudZrlcjp49e2L9+vVYv349Nm/e\njOXLl6NNmzZcZj2A4uPjMWfunPt+NXlRFLFr1y789NNP3B/IGGO15L7vNTAYDDh37pxdEZCCIKBV\nq1Zo1KiRxd80Gg26detW6QA9qx1EhEOHDmHmzJnIzs6u8ucFQUB4eDheffVVeHl5STq8ZDIZ6tev\nj0mTJnHltBYQymb9Xrx40fya6V7z9/e3+3vUajWGDBmCKVOmmJemNhgMuHHjxr3+iew/xLT1FmO1\nTa/XY8OGDUhLS7P4W3FxMdasWYO8vLx7nUz2ABJFkcux/wAigiiKMBqNMBqN5utu69oTEYxGY7Xy\nR2ZWJqZNm4YDBw5AqVTixRdfxMMPP8yreNxHSktLceLECcmKBH5+fncl8CQ1NRVnzpyRvNaiRQt4\neXnd69PC/mWKiopw5swZSQBCmzZt0KBBg3udtHsuPj4ecXFxktdCQkLu622fbty4gfPnz1uk2cfH\n556mq06dOpg8eTKaN2+OuLg4TJ06FbGxsVy/ukMGgwHr16/Hd999J9menIjwgIydM/afIwgCNBrN\nAxtYKooidu7ciXnz5uFG2o0qlTUKhQJBQUF45JFH8NBDD/Hq8Q+ovLw8zJ07F9v/2i5ZWe5+lJCQ\ngI8//hgnTpzgoBfGGKsl9/3adUajEcnJyTYfBOWjeIOCgjBjxgx88skniIuLgyiKcHR0xIgRIzBu\n3Lj//JK498rFixfxzjvv4Nq1a9X+DrVajVdffRXNmzfH+vXrkZiYCCJC48aN8fTTTyMqKor3lK8F\nJBJOnjwJrVZrfk0mk8Hb27vKs0pVahVGjx6No0ePYtWqVTAYDEhLSwMR2eysz8vLkxxfEIRKO6QE\nQYCzs7N5uXciQm5ubqUVYKVSCU9Pzxpt6Oh0OuTm5lY4e8z0293d3SV52GAw4ObNm3ZXhE3fU/53\nW1NYWIiCwgK7GoOmZT5NSktLcevWraptTyYI8PT0vOflr9FoxK5du5CdnY2hQ4dWa+Uva7/fnvxY\nHY6OjnB1dTVfV1MeNnUgmu6bmj62i4tLhfmnoKDAPHPC1rHLp1kQBCgUCigUCqjVasjlcvO/f7PU\n1FSsX7/e6v1LRDh48CBOnTqJXr1619hgpdFoRE5OToVlhiAIcHV1rfJyvVqtFvn5+XblNbVaDQ8P\nD/NvKioqQn5+foXvVygU8PT0rFJ+EEURt27dsnvVOHd3d8n9XlhYiIKCguqfaDs4ODjAzc2txgei\nCwsLsX79egQGNkaXLl1r5FllNBqRczMHRoP9nS6CIMDFxQVOTk53fHx7n8/W0uDm5ia5tuXLKGtU\nKhU8PDyqdN5EUUROTo5dWx8IggAPDw+o1epqnQe9Xo9bt24hISEBV69eRXJysvmZU7duXXh5eaFu\n3boIDAyEn58fnJyczHUxo9GIvXv34vz583juuefg7u5u97GLi4vx7YJvsWnTJoiiiG7duuH555/n\nevV95tatWzh79qy5DmIKQvf19a3V4xIRLl68KFlhRqlUom3bttXK64zZkpiYiMuXL5v/Wy6XIyIi\n4j8/eUkURZw5c0ZyH6rVakRGRt7zNpYtFy9eRG5urvm/FQoFIiIi7outI0JCQvDG62/grclv4fjx\n45g1axa++eYbDuarJlEUsW/fPkybNg05OTn3OjmMsSp4kCePXr58GTNnzkRmZuZ/8vf/1xkMBqxa\ntQpr1qxBaGjofb2VXl5eHj777DOcPHkSoWGh9zo5jDH2r3XfB73o9fpKBybKL+WqUCgwZMgQhIeH\nIy4uDsXFxahXrx5CQkIkA7fs7rl27Rref/99nDx58o6XjHVycsJjjz2G3r17o6ioyPyak5MTV1Jr\nicFgQGJiouTaiaKIzMxMGAyGKnV2CygbcH3llZexe/duZGRkICMjAyKJkFWw8JTRaMQvv/yCTZs2\nmWc7336tyw++ExHkcjkUCgUef/xxPP/885DL5dDr9Zg/fz4OHjxonjFtjZubG77++ms0adKkRs4f\nEWHLli1YuHChzYFojUaDiRMnYuDAgebfl56ejilTpiAlNaXSwUgigkwmg1qtxpgxY/Dkk09aHdQT\nRRHbtm3DsmXLUFxcLDmXtwcxKJVKDBo0CBMmTDAvdRoXF4cpU6YgPz/ffC0qCn4gIigUCjg4OODj\njz9G+/bt7+l9mpOTg08++QTJyclo0aIF2rZtW+XvuHz5Mt59911JEFZNKH9eTOdywIABePPNN83B\nAHq9Ht9//z127dpV6epndxIM88wzz2Ds2LEW+cdoNGLdunVYs2ZNlfbKFQQBSqUSarUarq6uqFOn\nDpo2bYpmzZohMDAQ9erVg5OT079qRo0oitizZw+uX78OuVyOpk2b4vr165IZjwUFBVi7dh0iI7vU\nSOAAAGRmZuKNN94wl8+3Bx8JgoBevXrh9ddftxkYVx4RYc+ePfj2229RUlJi87rLZDK0adMGM2bM\ngIuLC4gI27dvxw8//FBhQIOTkxPef/99dOnSxe48UFJSgpkzZ+LChQuVBiKo1Wq8/PLLGDhwIGQy\nGYgIGzZswC+//AK9Xi/5PfbeN/a8LyoqCh9++GGNBg0QEc6cOYN3330XERERWLFiBerUqXPH35uX\nl4e33noLqSmpknxTURrkcjlUKhWee+45PPHEE3d87xoMBixevNi8Fdjtz/nbz7fp2aJUKjF+/HgM\nGzYMgiBAFEVzGWW6127/rJubGz7++GNERETY/TwqKCjA1KlTERcXZ5Hfyn+/IAhwcHDA5MmT8fDD\nD9v9/USEgoICHDlyBHv37sXx48cRHR2NgoIC6PV6iKIIQRAkAYP169dHSEgI2rRpg44dO8Lf3x9x\ncXGYPn06BEHAkCFD7A56Mc2OXLRoEYqKiuDt7Y0XXngB3t7ed3RdWc27du0aLl++bM5zSqUSnTp1\nqvXBY71Bj2PHjllsN9O5c+d/1bOb3XumAKvyA+YuLi7o3LlzrW/hdb+zttKTo6Mj2rVrd9/ehwaD\nAadOnbIoOyIjI++LNCsUCgwaPAjLf12BgwcO4M8//0Tbtm3x8ssv39eBRPcjURRx6tQpvPvuu7h2\n7ZpFPZn76hh7QN3nKzTdvHkTc+fOxZkzZzgQ+z+IiHD06FF88cUX5jGi+3W7R71ej7Vr12L16tVl\nfS73aToZY+zf4L7vOdCV6qo8uKhQKNC0aVPzoDU3sO6dpKQkvP3229i+fXuN7ZEsk8kqXcmC1Rwi\nMlcey7926tQpJCUlITg4uErfJwgCwsJaolevXli5ciWysrJgNBihkFsvjmQyGR5++GHUq1cPaWlp\n2Lt3L/7++2+r5YKTkxP69OmDHj16wNfXFy1atDB3qCkUCvTv3x/BwcFISEjAzp07cfjwYYuVApRK\nJTZt2oRXX321RjpX8/Pz8dNPP2Hfvn0Wf1MoFGjbti369euHFi1aICwsTPJ3d3d3jB49GikpKTh+\n/Di2bNlidasUtVqNzp07o2fPnmjatCnCw8MrLPcEQUBERASICCdOnMCWLVsQHx8vmTVcr1499O7d\nG5GRkYiIiJCswOD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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": "8fa3b5c2-43c5-4439-9060-65aeb9fd4b3e"
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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cVh39+++/nbZMmDBB7dq1O6VCO3jw4FO+Y86cOc7PCAd33FFMzz57lR555ITy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\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Define a fixed temperature, T\n",
        "T = 1.0  # You can adjust this value as needed\n",
        "\n",
        "# Define a range of energy changes, ΔE\n",
        "delta_E = np.linspace(0, 5, 500)\n",
        "\n",
        "# Compute the function e^(-ΔE/T)\n",
        "y = np.exp(-delta_E / T)\n",
        "\n",
        "# Plot the function\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'Plot of $e^{-\\Delta E / T}$')\n",
        "plt.xlabel(r'Energy Change ($\\Delta E$)')\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": "31d75416"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Moves resulting in **significant negative changes** (worse) to the\n",
        "objective function are **less likely to be accepted**.\n",
        "\n",
        "## Varying the temperature, $T$"
      ],
      "id": "2523612e-7e9b-4cc2-9399-dfaa057f240b"
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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BAQAAMmPTTAZDks2eGNwy7md2LLv7OX2PlDTnl53Ql9uvzT6f9ukEAAC5F8SsqmXjZ4Kb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\nAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Define the energy change, ΔE\n",
        "delta_E = 0.1  # You can adjust this value as needed\n",
        "\n",
        "# Define a range of temperatures, T\n",
        "T = np.linspace(0.1, 5, 500)  # Avoid T=0 to prevent division by zero\n",
        "\n",
        "# Compute the function e^(-ΔE/T)\n",
        "y = np.exp(-delta_E / T)\n",
        "\n",
        "# Plot the function\n",
        "plt.figure(figsize=(8, 5))\n",
        "plt.plot(T, y, label=r'$e^{-\\frac{\\Delta E}{T}}$', color='blue')\n",
        "plt.title(r'Plot of $e^{-\\Delta E / T}$')\n",
        "plt.xlabel('Temperature (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": "c3dfead7"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "For a fixed $\\Delta E$ (here $0.1$), changes are more likely to be\n",
        "accepted whe $T$ is high, at the start of the algorithm.\n",
        "\n",
        "## Varying the temperature and $\\Delta E$"
      ],
      "id": "c5e8735d-58da-4172-9f37-a562af6ffb24"
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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4KbS3s2gNCQcBEUBgBOAfCviF2B/+Mg1u/rKaD+74Im6LBVYp5VBVhIiIiIio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\nERHMzf8A1EgSc43Cid4AAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Define a range of temperatures, T\n",
        "T = np.linspace(0.1, 5, 500)  # Avoid T=0 to prevent division by zero\n",
        "\n",
        "# Define specific values for energy change, ΔE\n",
        "delta_E_values = [0.001, 0.01, 0.1, 1.0, 2.0]\n",
        "\n",
        "# Plot the function for each 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",
        "# Customize the plot\n",
        "plt.title(r'Plot of $e^{-\\Delta E / T}$ for Different $\\Delta E$ Values')\n",
        "plt.xlabel('Temperature (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": "1de1a8a2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Bad moves are more likely to be accepted at the start when $T$ is high,\n",
        "and less likely as $T$ decreases.\n",
        "\n",
        "## Varying the temperature and $\\Delta E$"
      ],
      "id": "ed492255-8f65-40e9-88c5-ba43d65e3418"
    },
    {
      "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": "24ae32f6-9edc-404b-ae44-d8f4d73e3354"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Using **[Observable JS](https://observablehq.com/plot/)**.\n",
        "\n",
        "## Theory\n",
        "\n",
        ">  **(Russell and Norvig 2020, 114)**\n",
        ">\n",
        "> If the schedule lowers $T$ to 0 slowly enough, then a property of the\n",
        "> **Boltzmann** (aka **Gibbs**) distribution, $e^{\\frac{\\Delta E}{T}}$,\n",
        "> is that all the probability is concentrated on the global maxima,\n",
        "> which the algorithm will find with probability approaching 1.\n",
        "\n",
        "**See also:** Laarhoven and Aarts (1987), Aarts and Korst (1989),\n",
        "Gendreau and Potvin (2019)\n",
        "\n",
        "## Definition\n",
        "\n",
        "The **Travelling Salesman Problem (TSP)** is a classic optimization\n",
        "problem that seeks the shortest possible route for a salesman to visit a\n",
        "set of cities, returning to the origin city, while visiting each city\n",
        "exactly once.\n",
        "\n",
        "The challenge lies in determining the most efficient path, especially as\n",
        "the number of cities increases, due to the combinatorial explosion of\n",
        "possible routes.\n",
        "\n",
        "## Traveling Salesman"
      ],
      "id": "a9685322-ce3b-4ad3-8849-4240949179b8"
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Ensure we always generate the same coordinates\n",
        "\n",
        "np.random.seed(42)\n",
        "\n",
        "# Generate random coordinates for the cities\n",
        "\n",
        "num_cities = 20\n",
        "coordinates = np.random.rand(num_cities, 2) * 100\n",
        "\n",
        "# Calculate the distance matrix\n",
        "\n",
        "distance_matrix = np.sqrt(((coordinates[:, np.newaxis] - coordinates[np.newaxis, :]) ** 2).sum(axis=2))"
      ],
      "id": "caff1820"
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "output-location": "slide"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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YCSecwH8lQgj8AICoKF68uH3wwQc2btw4dwGgPv4RI0bYG2+8Yccddxz/lQih\nqR8AEDUdO3a0xYsX2759+1yt/5hjjnHbvRYAhB+BHwAQE7V/FA6a+gEA0afRL8uWsYZFISDwAwCi\nR0tU9+plVrGiWaNGafe9e7N0dQTR1A8AiF7Qb948balqb2Er3U+caMnTptkxI0Yc9Z/44YcfbPLk\nycHH/fr1s0qVKqV7zcaNG23q1Km2fft2O+ecc+zMM8+0REaNHwAQHQMHpgX9jEtY6/Hu3Xbia68d\n9Z9QkqASB7ds2WIPPvig/fLLL+me/+KLL6xRo0bu4kDzCpx//vk2fPhwS2TU+AEA0enTHz8+2yWs\nkw4dsqqzZllAr1PzfwGdfvrp7rZu3TobOXJkpufvvvtuu/766+3JJ590j6+88kpr3bq1XXXVVVa7\ndm1LRNT4AQCFT9NYZxP0Pcl6Xq+LoCVLltjZZ58dfNyyZUt3//HHH1uiIvADAAqf1q7wFrDKxhE9\nr9dFUL169dKtC/D999+77oGff/7ZEhVN/QCAwqc59nv2dIl8mfr4zSyQmmqbzjjDqkR4nYvhw4db\nnz59bMOGDVa1alX78MMP3X1SUpIlKmr8AIDoePRRs1KlzFIz1EH1uFQp+98110R8F7p162bz5893\nmfzK9leS34EDB6xhw4aWqAj8AIDo0NK6s2ebde/+/83+KSnu8ZGZM+33atUivgurV6+2OnXqWP/+\n/e2+++6zadOmue3dtU8JiqZ+AEB0g//YsWlZ/krkU5++mvc1V//SpUf99hqjP3r0aNu1a5d7/OKL\nL1rlypVd1r4C/po1a1xTf9u2bd1FgMbzv/vuu1a6dGlLVNT4AQDRp2Cv5vUw9+kHAgE3jr9o0aI2\nePBgF9C9BYGkXbt2bingihUrWvv27W3ZsmVuLH8io8YPAEhY1atXt2HDhuX4msaNG7ubX1DjBwD4\nzw7/LgpE4AcA+McKFgUi8AMA/LUo0KRJmRYFctv1vA8Q+AEA/pDLokCm532AwA8A8M+iQIcyzxLo\naPuECb7o8yfwAwASXx4WBTIN8YvwokCxgMAPAEh8eVgUyDRrYIQXBYoFBH4AgH8WBUrNZvoabe/R\nI+wTCMUiAj8AwB9yWRTI9LwPEPgBAOb3RYFM2/W8DzBlLwDAP+pnsyiQjxD4AQD+U66c7wK+h6Z+\nAAB8hMAPAICPEPgBAPARAj8AAD5C4AcAwEcI/AAA+AiBHwAAHyHwAwDgIwR+AAB8hMAPAICPEPgB\nAPARAj8AAD5C4AcAwEcI/AAA+EjUA/+hQ4ds0aJFtlnrImdh3bp19sMPP9i+ffsKfd8AAEg0UQ38\n7777rtWoUcO6du1qLVq0sDvuuCP43IEDB+zSSy+1Ro0a2cUXX2zVq1e3yZMnR3N3AQCIe6nR+sPf\nfvut9e3b18aPH2/nn3++2zZq1Kjg808//bTNmjXLVq9ebZUqVbJnn33WrrrqKluzZo2VLVs2WrsN\nAEC+9OzZM/hzt27d7IYbbgg+PnLkiPXq1SvT73zwwQeWnJycWDX+f/7zn3b55ZfbOeecY/Pnz7ed\nO3fazTffHHz+nXfeseuuu84FffnTn/5kSUlJNmXKlGjtMgAA+Xbttde6208//WQLFy5M95wC/4QJ\nE+y8884Lvk43xbuEq/GrNn/22Wdbw4YNrXz58rZy5Uq79dZb3QWBLFu2zDXze4oUKWL16tVz2zM6\nePCgyxXw7N27190fPnzY3cLBe59wvR8o28LAcUv5xqtEOna7devm7p9//nkLBALpPpP3c9u2bdPF\nPF0Q5FdeyypqgX/37t321Vdf2ffff29Vq1a1xYsX2xlnnGGtW7e27t272/79+61EiRLpfqdkyZJu\ne0bDhw+3oUOHZtr+0UcfWbFixcK637Q4RA5lS9nGK45dyjYvtmzZYkWLFk2Xr+YFa7Vqp6amury3\nzp07F6hLO6v4GFOBv2LFiu4KR0FfmjRp4hL8vv76axf49fzWrVszFZq2ZzR48GAbOHBguhp/hQoV\nrEuXLpkuHgpK/xx9uS+44AJLSUkJy3uCso00jlvKN14l4rH73HPPWd26dV1Cu0ctAGPHjnU/q8v7\nvffes7vvvttmz55ttWvXztf7e63dMRv41cy/adOmdNt++eUX1+wvLVu2tGnTptn111/vHq9fv96W\nL1/utmekbgDdMtLBEu4DJhLvCco20jhuKd94lUjHblJSkrtl/DyhyX3q3z/rrLPsX//6lz355JP5\nev+8llPUAv+9997rgviwYcPcRYAyGBX4lbkvqsG3a9fOTjzxRGvatKmNGDHC2rRpY61atYrWLgMA\nEFG6MFDc27BhQ8T+RtSy+k8++WT7/PPPbcmSJfbwww+75Lw5c+a4/g3RFc/HH39sc+fOdQl/yv5X\n5iMAAIni66+/dsntHmX+Kz8tq9btcIlajV+UzPfWW29l+7xyAHQDACBe3XXXXW5Omnnz5tmPP/7o\n5qNRIvuAAQOsVKlS1rt3b9ddrZ/Vt9+jRw/r379/YgZ+AAASXffu3V3invrvPTVr1nT36spWy7bm\ns/n111+tQYMGwecihcAPAEAEKV8tt6S80047zXyzSA8AAL60Y4dmq0u7L0QEfgAACtOKFRrDpwlt\nzDRbn+57907bXgho6gdwVGbOnOmWz/Zm19TEWdnRyB0lNmkK03DPqgnEhRUrzJo31/S1mpc3bZvu\nJ040mzbNbPZss/r1I7oLBH4ARz0cSattKqBrUi7vIiAjPa+pSLdv324bN24MztoJ+MrAgWlBP2R9\nGUePtV3P/zGTX6TQ1A/gqGhI0vvvv59udc2MNC2pVtu87bbbKG34144dZuPHZw76Hm3XfDUR7vMn\n8AOIuKefftoqV65sF110EaUN/9q8+f+b97OjRXv0ugiiqR9ARGkp7SeeeMKNVdaaG4BvVa5slpyc\nc/DXfPt6XQRR4wcQ0RXWrrnmGnv00UetUqVKlDT8rVw5s549zVKzqXNre48eaa+LIAI/gIh5/fXX\n3XLamo5UeQCffvqp2671yLXaJuA7jz5qVqpU5uCvx9qu5yOMwA8gYipWrGjNmjWzMWPGuNvUqVPd\ndi24pS4AwHfq108bste9e1qzv9e8r8eFMJRP6OMHcFSWLl1qixYtcn34e/fudTX75ORkt8a4xuvr\n5vnhhx/chcBLL73EcD74V/36aUP2lL2vRD716Ue4eT8UgR/AUVm8eLGrzXtzkutnzT2uwJ9R2bJl\n3UpkxYsXp9SBcuUKNeB7CPwAjooCuW55UadOHdciACB66OMHkFALkADIGYEfQEItQAIgZwR+AOFf\ngGTSpMwLkGg7wR+IOgI/gMJdgARAVBH4ASTUAiQAckZWfy5+/fVXO3TokJt69Pfff8/t5YB/5WcB\nkigMYQKQhsCfC60mtnDhQtuzZ4/VrVvX+vTpk9uvAP4UIwuQAMgZTf25mD59um3dupV1xIE4WYDk\naO3YscPmzJkTvGXX0rdu3Tpbs2aNaw0E4gk1fgDhowVGpk3LnOBXiAuQHK3Zs2fbAw884AK6phj+\n9ttvrWXLlsHntcDQwIED7bfffrNAIGD79++3kiVL2vnnnx/V/Qbyiho/gIRagORoderUydX01dqX\nFS0uNHbsWPvpp59s9erVdu6559pll13mcoGAeECNH0BCLUASaQMGDAj+nJSUZC1atHDTEKtLsGrV\nqlHdNyAvCPwAEmoBksL2xRdfWJMmTQj6iBsEfgAooFdeecU+++wz+/LLLylDxA0Cfy52795t+/bt\nczcl+6g5r1ixYm55UQD+NWrUKBsyZIgNHTrUmjZtGu3dAfKMwJ+LQYMG2TvvvON+PnDggGvSO+GE\nE1ymLwB/euyxx+yf//ynffLJJy7JD4gnZPXn4l//+per5f/yyy/2xhtvuHuCPpC41LqnrH4N5ZOl\nS5e6x5rFU/7+97/bgw8+aE888YSrDKxYscI9r0m+gHhAjR8AQuji/uabb3Y/n3766fbMM8+4nx9/\n/HE3dG/x4sWu5e/JJ59023VBoFZBVQwaN25MWSLmEfjzascOK7V+fdoQJa0vDiAh1a5d29Xgs/PW\nW28Ff1bejyb06dq1q6VovgJElf4foYmW+l8ef/zxeX7eL2jqz43WD+/Vy5KrVLEOt97q7q13b9YV\nB/xGF/3LlrG6YAxT18tf//pXd+vRo4eNHj06X8/7BYE/t6DfvLnZpEmW9MfCI+5+4sS07XoegC8u\n/l1LX6NGafdc/MekEiVK2IwZM9zt5JNPzvfzfkHgz8nAgZnnHBc91nY9D8AXF//BVQe5+EecI/Dn\n1Kw3fnzmoO/R9gkTaPYDfHzxnzxoULT2DCgwAn92NMd4TuuKi5bj1OsAJJ68XPxPnGhFdGEAxBEC\nf3a0sIi3ulh2lMWr1wHw5cV/0uHDVmznzkLbJSDqgV8TVsybN89NcJFwtLhIz55p64hnRdt79PDF\nIiSAL+Xh4j+QkmL7y5QptF0Cohr4x4wZYzVr1rSWLVvaU089ZStXrrRmzZrZwYMHLWE8+qhZqVKZ\ng78ea7ueB5CY8nLx3727HdS5ADHju+++c1n7O3futLVr17qfl2kYZh6f94MCBX7NTX3rrbfa+PHj\n7emnn3bb6tWrZ6eccoq9/fbbllDris+e7b7cgT+u/HWFr8duu54HkLhyufg/MmJEtPYM2Rg5cqQb\np1+hQgX7+eef3c8TNQQ7j8/7QYFm7tNc9eedd561adPG/ve//wW3K/BrfutrrrnGEoaC+9ixdmTr\nVpvx7rvW9tJLLYWZ+wB/8C7+ld2vRD/1+XsX/7oo0KxvidjVGcdCZ1YsyPN+UKDAf8wxx9hvv/2W\nafvGjRutevXqlpDKlbPdNWrQpw/4zR8X/y7LXwl/6vv3cns0sgfxIav/n08VqKn/rLPOslmzZtl7\n771nR/7Iep07d65bpKJLly7h3kcAiD4Fi4YNfR804g4zL4anxq++kddee82uu+4627Ztm1ucQo+1\nWpVWrQIA4Gi8/PLL7vbiiy9aUlKSWwwpo127dtmoUaPcokrKM7v33nutfPnymWde1FwLGWdenDbN\nt7laBV6dTzX7VatW2YIFC9ywvqZNm1pF+r4BAGFw9tlnu+S71NRUGzp0aKbnt2zZ4l7ToEED69On\nj1se+YorrrCPP/44f9Oujx3ru/9XgQK/rrw0fO+OO+5wzf5ZbQcAoKBOPPFEa968uQv8WXnggQfs\nuOOOsw8//DC4LV1iuTfzYnaTMB0KmXbdZ33+BerjX7dunS1ZsiTTdo2JXMGKdQCACBs7dqxdcskl\n7gLg0ksvda0CXs6Zw7Tr4anxq2n/+++/d7P1rV692t5///3gc5q455133rFeWr4SAIAIUd/+jh07\n7G9/+5vddNNNLu688sorbqje/Pnz3fK7wZkXc5p2OcWf067nK/DPnj3bHnroIdeXsn//fjeRj6d4\n8eJu5r4bbrghEvsJoJAsWrTIPvroIzezWYcOHax9+/aUPWKK1/zftWvXYP9/t27drGrVqq7LWS0B\nwZkXlciX1UJLqWkzL/qtmT/fTf1KoNC8/LqyGj58uPvZu2niHm0vw7zVQNzSVNyahlvdecnJyXbZ\nZZfZsGHDor1bQDolS5a0atWqWe3atdPNL6MEcyX9BTHteviS+y644IKC/BqAGKfhUGrV07107NjR\n3W688UZXm0Lkqaw9miFVFa5Q6sd+88033VwqlStXdsOqa9Wq5bt/jWr1kyZNcsdq0aJFXYu0RgG0\naNEi7zMv1vffUL6jGs6n5v7nnnvO9ads377dAoFAsLmFrH4g/ihPRzX9U089NbhN3XeHDh2yadOm\nuaFSiDy1uIgWPytVqlSmwK/MdU2brr5t5Vzp/6Vx7Mdr+uAE8tlnn7nWJo3h95r1RRc9ZcuWdf37\nGlZev359q1u3riuLhx9+2E4//fS8z7zoUwUK/Orfb9WqlRs/qb6WvXv3uskTNH5SGZYA4k+RIkXc\nCfSLL75wNU35/PPP3f369eujvHf+q/GHJk971KWqwKc1Uho3buy2qUVGXa+a7CaRNGzY0Dp37uyG\n9GmSOI9L3DNz3cpfffWVKxNVRDX8r0qVKtm/oYK9zwP+UQV+nQzUxzJu3Dg3a5Ky/F944QXXH5iu\nfwVAXFEt8/LLL3cTc+nEqu+2+k2zG0uNwqWWF1W4vKAvPXr0cP+3RKNl3xX0VdMPDfyh1BqgVikU\nwjh+jdf3mgOVUPH7778Hm6hmzpxZkLcEEAPUVac5OtR/qox+teIpu5+puGODFkJTUlsoPdZ231CT\n/bJlafcovMB/+PDh4BWYmgaVVKH+QdUOSpcuXbA9ARATQ/mUMHbVVVe5vuTnn3/ezY7GkL7YoPOu\nci5C6dybXY04obDYTtgUqP1OS+9qfn7RXMlqClTAV9+LMk0BxKcNGzbYlVdeaWeccYYbprtmzRo3\nJSpN/bGhTp06ro8/lP5H2p7QWGwn+oG/u4ZChPSxTJ8+3fUJKqtUK/cBiE+dOnVyfcjKqFbfqh6r\nOw+xQVns/fv3d10w559/vkus1mx16udPaCy2E1ZHlbGj8aRbt25190rEUJOTplKkuR+IX6o9MgNn\n9GiYmmZFXbx4sRteqSz/M8880/70pz+5bpdHHnnEzU2vbH5l9yvR+r777rOExWI7sRP477nnHnvm\nmWfc0L5Q/fr1c5n+AOIYY56j5uSTT3bdqd54ftFwac+AAQPswgsvdLlVOt8q/0JDMRNWfhbbYbhe\n5AK/xvm++uqrNmXKFJftq6k9M46xBBCnfamqPWq5Up1s9d3WfOc+nuWssF100UW5vqZRo0bu5gss\nthMbgV/NUOprateuXfj3CEB0kEAV2/zaCsNiO7ExnE9j+H/88cfw7w2A2E6gQuFjGBuL7cRCjV/z\nR6t5v2/fvi7zVwskeJTZ37Rp03DuI4BII4EqNtEKUyiL7ezdu9cNW81Ica5Xr16WaAoU+LVAxC+/\n/OJu33zzTbrntJAHgR+IMyRQxSaGsRXKYjt79+51S1KHmjt3rqvUEvj/oLm8dQOQIEigij20whTa\nYjvly5dPtyiShqhrVloNoUxEBerjB5CgCVTZLcaj7Zokxk9JZfHUCoOwmjJlim3atMmuvfbahCzZ\nPDf1r1y50nbs2OGm8tTPGkOaFa2NrNcAiDPqK502LXOCn4J+qVJpz6Pw0AoTNaNGjbKLL744YWei\nzXPgV3/HsmXLXFDXz8OGDcvydX369CHwA/EowglUyCeGsUXFzz//7Gr8M2bMsESV58CvKSJDfw59\nDCBBRDCBCgVAK0yhe/HFF93kSOecc44lquS8LsO7b9++PN0yLhkJIA4p2DdsSNCPlVYYtbp4M6R6\nrTDaTitMWB06dMhGjx7tpkJOZHkK/C+99JKbijcvt9tuuy3yew0AfmuF2brVbOlSsy1b0h4T9MNu\nwoQJtnPnTjdHTSLLU1O/xuZrJShPIBBwBdO8eXO3drfGOn7yySf23HPP2UBm9wKAuBjGhszT0f/1\nr3+1MmXKmPk98GuZ3dCldr/++mtXux85cmRwW7NmzWzDhg320Ucf2a233hqZvQUAIELuuusuX5Rt\ngcbxr1mzJsthDpUqVbK1a9eGY78AACh8O3aYLVuWdp+gChT41cSv4Q6TJk0Kbvv+++/t2WeftbPO\nOivf73fLLbdY8eLFbdy4cem2q+tA8wKULVvWLrjgAjd/AAAAYbdihZnm5a9YUesep9337p22PcEU\nKPA3aNDAnnrqKde/f+yxx7raf4sWLVy/f17Wkg718ccf2/z58y0lJcWNHvCMHTvW5QuoO2HRokVW\npUoVtxTwwYMHC7LLAADkvBiSKrPebIm6nzgxbXuCBf8CLdLz3XffWcWKFV0ihIK2gnGTJk2sWrVq\n+XqfX3/91eUDTJ482bUihFLrgaZLVLCXp59+2gX/Tz/91NX+AQAIi4F5WJJaIyn8HPg1s5GWMOzZ\ns6ede+65Bf7jGvp34403WuPGjTM9N2/ePLvuuuuCj5VlqZaGH374IVPg14VH6PwBWmlJ1IIQ2opw\nNLz3Cdf7gbItDBy3lG+8KrRjd8cOSx4/3pKyWxfh0CELTJhgRzScMsZHVeS1rAoU+NWs/9BDD9me\nPXusZMmSBXkL15+/ZMkSe/XVV7N8fteuXa5vP1S5cuXcGMuMhg8fbkOHDs20XSMMihUrZuGk3AZE\nBmUbOZRtZFG+8Vu2pdavtw65LIaUdPiwzXj3Xdtdo4bFsv3790cu8K9fv96N3VfzfufOna2UFvD4\ng5L7eishIgfbt2+3/v37u8Ccms1qYHpPBf9QCvrKKcho8ODB6eYPUI1feQfqJtCww3BdSekAVGuD\n8hEQPpRt5FC2kUX5JkDZ7thhgf79s6/xa+6alBRrq2nqY7zG77V2RyTw682bNm3qfvam6vXsVn9I\nLpYvX+7G/J955pnprlQ0UdC7777rbnp/LQakBELvffV7p5xySqb3K1KkiLtlpIMl3AdMJN4TlG2k\ncdxSvvEq4sduxYppS1IrkS+rKedTUy2pe3dL0etiXF7LqUCBv127du5WUOoqUDdBKCULampgLYUo\nN910k91+++3usYL9oEGD3DwBnTp1KvDfBQDA74shFSjwe1avXm0zZ860AwcO2KmnnhpsBchNUlKS\nG7efU8396quvdqMGunXr5rL/lfWvhMJw99kDAHyuvr+WpC5w4H/iiSfs/vvvt8qVK7v+fgXp66+/\n3i1pWBDbtm3L1Fyvvnvdjhw5YsneylQAAIRbff8sSV2gaLpixQqX1a/Ei3Xr1tmqVavcJDuajEer\nGxWEavLZBXeCPgCgUJRL/CWpCxT458yZ4zItO3ToENzWqFEju/nmm13TPwAASKDAryF1mzZtyrT9\nl19+yXK4HQAAiOM+/nPOOcfNuKfFda655hrXTP/f//7XRo8e7abzBQAACRT4NX2u5tfXJDy6CFDy\nnabTHTNmjJvUBwAAJFhW/+mnn27ffPNNcJ78cM2QBwAAEmwcPwAA8Pk4fiQGTausKZc9moipdu3a\nmdZq0NDPrVu3uotFdRcBAHw2jh+Js7CG1m74/fff7cEHH3StQqGUBNqqVSubOnWq/fjjj259hksv\nvdQCgUDU9hkA/CQ1EuP4e/ToEc59RBxp3LixDRs2zAX/Rx55JNPzNWvWdIsvecs5K0G0YcOG1rp1\n6yjsLQD4D+P4UahOPPHEYNAXdRNJdsszAwDCi3H8KHS//fabPf300+5eTf9qIahVqxb/CQAoBIzj\nR6FTf766AnTTiJDFixe75n4AQOQxjh+FrnTp0q6WL0oCrF+/vpUrV84uuugi/hsAEGt9/OPHj7fP\nP/88+FhL6WryHmX6P/fcc+HePySYBQsWZNkCwAqMABCDNf7du3fbgAEDbNasWZmeq1u3rhvD365d\nO5fZDX/auXOn/etf/3KzOcobb7xhX331lfXq1csl9r3++utuVEiLFi3crI+TJk1y/fsa4gfEg82b\nN7u5KLzhq9nRa/bu3WvVqlXjwhbxW+NXwFeAr1ChQuY3Sk62jh07urH88C+v/16Bf/Dgwe6kp8fe\nCfKxxx6zxx9/3E38pID/7LPPuqmfmfIZ8UKLkfXs2dPOO+88O+mkkzI9r/kpzjjjDHeubN68uVWv\nXt3Gjh0blX0FjrrGv3btWnciz46e02vgX2XLlg323+e0zoNunpxqTUCsGTRokLupkqP5TDK64447\nrEaNGu6CVsNVR44caVdddZV16dKFC1zEX41fNX315WdHz2XVGgDYjh1my5al3QMJTLOZqsvTm6NC\nFwdq9dIU1UDcBX7NqT5//nybNm1apufWrFljb775pnXq1Cmc+4d4pwvFXr3MKlbU9I5p9717p20H\nEpBq/C+88IJ98sknNnv2bLemycUXX8xcFYjPpv7y5cu7Ofp1BavpeVu2bOmuahcuXOias7p16+aS\ntgBHwb15c2WFmh05krZN9xMnmunicfZss/r1KSwklM6dO9uYMWOsT58+bpbKlJQUl9QKxO04/vvu\nu88lZv3jH/9wwV7Un3XXXXe5fi8gaODAtKD/R4Z/kB5ru54n6QkJltyqZn6tV6KFqJT0rNkplQio\noaxa0wSIywl8rr32WnfzsrdLlSoV/j1DfFNf/vjx/1/Tz0jBXys56nWlSxf23gERoWmolevUvXv3\n4BA+dX8WL16cwI/4XqTHo4OZoI8sbd6cfdD3KJtfrwPibK6KpUuXuiQ+0b0ea3SKZqVUd+eQIUNs\nxowZbiXK22+/3b3u7LPPjvKeA2EI/EC2KlfW5A45F1BKStrrgDii5GaN49ecFFpjYsSIEda7d2/b\n8ceIlYkTJ7rx+5rHol+/frZt2zZ3EaAlqYFYwFqoiIxy5cx69kxL5MvYx++OvFSz7t3TXsc4fsQR\nrSnhrSuhWv7kyZOta9euLolPlAOlSaqAhKjxe9OwAnny6KNmyv9QkA+lx9qu5wEAsRv4X331VfvL\nX/7CBQDyRkP1NGRPNXuv2V+1Ij1mKB8SDZNUIRED/7nnnmvjxo2z1q1b28qVKyO3V0is4K8he5q1\nbOlSsy1b0h4zfh8J4piNGy354ouZpAqJGfhPOOEENxOVslZPO+00e+211yK3Z0gs6stv2DDtHkgU\nK1ZYm3vuMZs8OfMkVZq8ihkqkQhZ/RrC99RTT9n777/vpqbU6lRaicq7KcMVAPwgedAgS92715Jy\nmqQKSISs/j179th7773nftawFl0MeE499dTw7R0AxHKf/oQJlpyXSapo6UI8B35NSHHllVdapUqV\n3II9tWvXjsyeAUAs27zZkvI6SRWBH/Ha1K85p9u0aeMCvyakIOgD8K3KlS3AJFVI9Br/kSNH3KxV\nrMAHwPdUi+/Rw45k19wfOkkVEK+B//zzz4/cngBAnDkyYoQd/u9/rcj+/ekT/JikCjGMufoBoKDq\n17cvHnvMrFs3JqlC3GCufgA4Cr9Xq2ZH3nvPUnbtSkvk08JTNO8jhhH4ASAcFOwJ+IgDNPUDAOAj\nBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q\n+AEA8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLg\nBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEf\nAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDAR1Kj9YcPHTpkb731lk2fPt1SUlKs\nffv2dtlll7mfPT/88IONGjXKtm7dameddZbddtttVqxYsWjtMgAAcS9qgf/888+34447zgX83377\nze6991778ssvXaCX+fPn29lnn20333yzde3a1Z588kn74osvbMKECdHaZaBA+vXrZ4cPH0637dln\nn+UiFoC/Av8777xjlSpVCj7Wz3379rVnnnnGUlNT7e9//7tdcMEF9sQTT7jn27RpY/Xq1bM5c+bY\nGWecEa3dBvJt9OjRNnjwYKtVq1ZwW2jLFgD4IvCHBn1Rc37p0qVd0BfV/ocOHRp8vm7dutagQQP7\n6quvMgX+gwcPuq4Dz969e929alkZa1oF5b1PuN4P/irb7t2726mnnppuW2F8Xj+UbaT9+uuv7nyk\n84rOPToXeVSugUDAPv30U1u3bp01btzYWrRoEdX9TRQcu/mX1+951AJ/qJ9++skefvhhVyvybNmy\nxapUqZLudZUrV7Zffvkl0+8PHz483UWC56OPPgp7c+qUKVPC+n5I/LJVYLj//vutePHiVr16dWvb\ntq2VLFmyUPchUcs20qZOnWpjx4612rVru0rJ3Llz7eKLL7ZLL700eKIdNmyYC/oNGza0hQsXWsuW\nLe2WW26J9q4nDI7dvNu/f398BP6ff/7ZOnToYJdffrndcccdwe1FihSxffv2pXutHhctWjTTe+iC\nYeDAgcHHujKvUKGCdenSxUqUKBGW/dQXXAeguh9opg2vRC/bF154wY4cOWK7du1yOSqTJk2ymTNn\nWo0aNSL+txO9bCPN63Y89thj3eOJEydar1697LHHHnMVkZdfftlWrVplS5YscY+XL19uJ598sjsf\nqXsSBcexm39ea3dMB/4VK1ZYx44d7YorrnBfrlDqz9fzHp0416xZ47ZnpIsE3TLSiS7cJ7tIvCcS\nu2xvvPHG4M933323G6GiwDFy5MhC24dELdtIu/DCC9M9rl+/fvAEq/JUq+KZZ57pgr4eq6n/nHPO\nsQ8//NDatWsXpb1OLBy7eZfX73jUxvEvXrzYXRHfdNNNmYK+qDnttddec7Ukefvtt23Pnj2uFg/E\nq+TkZNdPvHr16mjvCgpAF2zqw/f6+deuXeuCfqg6deq47UCsilqNv0ePHi6Qf/vtt264nkfBXs30\nGt73+eefu34zfZEWLVrkmkwrVqwYrV0G8k1zUSgwqG/fSxT7+OOP7aqrrqI048yQIUNsxowZblhx\naEukLuYydg+QTIlYFrXAr/H6Gfvw5ZhjjnH3Sn767LPP3Ilz27ZtLiOaoI94o8DQqVMnq1mzphu1\nogmrvD5gxI977rnHxo0b5yojSvTzKAF5x44d6V67YcMGO/7446Owl0CMB3717ecmKSnJmjVrVij7\nA0TCaaed5uae0DBUXcAOGjSIYzrORmQoQ1+1fN0yJmRqAjLlamhIsfpXdRGgi4PQvA4g1kQ9qx9I\ndBrGl5cLXcSeu+66y03A9Je//MWNxvB069bNXQRoZlFNOqZRE507d7b//Oc/LoejZ8+eUd1vICcE\nfqCwqEl482ZNSGFWrhzlHgc0rfgNN9xg69evdzeP5mIQdd/84x//cM37Gpqs6Zmvu+66TP3+QCwh\n8AORpmGp991npnUmjhxRar+ZaoSPPqrxYZR/DNPwy9yUKlXKvY7hkogXBH4g0kG/eXOz3bvTgr7o\nfuJEs2nTzGbPJvjHc+tNhQrR3hMg32iPAiJJ2fsK+iFrSTh6rO1k98ffhVyvXmYaVtyokSVXqWLN\nH3kkbTsQJwj8QCRrhePHZw76Hm1X83+G4WCI8dYbJfn90XqTdOSIVZ01y5JbtiT4I24Q+IFIUVOw\n17yfHa2mpdchbltvkvU/pvUGcYTAD0SKsvdzy+7W3NoZpnxF/LXeJNF6gzhC4AciRUP2lL2fmk0O\nrbb36MHQvnhA6w0SCIEfiCQN2StVKnPw12Nt1/OIfbTeIIEQ+IFI0jh9Ddnr3v3/m/3VvK/HDOVL\nmNabAK03iCOM4wcKI/iPHcvMffFOrTOaeyFDgt+R5GRLovUGcYQaP1CYtcaGDenTT6DWm0BKim06\n80w7MnMmEzEhblDjB4ACtt4cqVDBZn/9tXVl6mXEEQI/ABSk9UY3zcMAxBma+gEA8BECPwAAPkLg\nBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEf\nAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAjBH4A\nAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA\n8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDA\nRwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECP4CYceDAAVu9erXt378/2rsCJCwC\nP4Co27Jli/Xr188qVqxo7du3t/Lly9uAAQMsEAhEe9eAhEPgBxB1S5YssebNm9vWrVtdjf/bb7+1\nF1980d58881o7xqQcFKjvQMA0KZNG3fznHLKKdakSRNbunQphQOEGTV+ADFnxYoVNm/ePGvXrl20\ndwVIOAR+ADFl8+bN1q1bN/vTn/5kHTt2jPbuAAmHwA8gZmzYsMHatm3ravojR46M9u4ACYnADyAm\nKKmvdevW1qVLF3vuuecsKSkp2rsEJCSS+wBE3cqVK+3cc8+1Vq1a2bXXXmuLFi1y28uVK2c1atSI\n9u4BCYXADyDq5s+fb2XLlrXFixfbZZddFtzes2dPGzZsWFT3DUg0BH4AUderVy93AxB59PEDiC07\ndpgtW5Z2D8BfgX/v3r32/vvv26hRo+yHH36I9u4AiKQVK1T1N6tY0axRo7T73r3TtgNI/MCvqTub\nNWtmI0aMsK+++soN8dHPABKQgnvz5maTJpkdOZK2TfcTJ6ZtJ/gDid/HP3z4cDv22GPtm2++sSJF\nitgnn3zihvlceeWVdtxxx0V79wCE08CBZrt3mx06lH67Hmu7nh87ljIHEjnwf/jhh3bLLbe4oC/n\nnXeeVa5c2aZOnWo33XRTutcePHjQDoWcMNRFIIcPH3a3cPDeJ1zvB8q2MMTFcbtjhyWPH29JXk0/\no0OHLDBhgh3ZulXj+yyWxEX5xinKNv/yehzGbOBfu3Ztppp9rVq13PasWgeGDh2aaftHH31kxYoV\nC+t+TZkyJazvB8q2MMTycVtq/XrrkF3Q/0PS4cM24913bXeMjumP5fKNd5Rt3u3fvz++A7/W4U5J\nSUm3TY+zWp978ODBNlBNgSE1/goVKriugRIlSoTtSkoH4AUXXJBpv0DZxqq4OG537LBA//7Z1/h1\nPkhJsbaXXhqTNf6YL984Rdnmn9faHbeBv3r16rZ+/fpM83hre0bqDvC6BELpixjuL2Mk3hOUbaTF\n9HGr7P2ePdMS+TL28UtqqiV1724pel2MiunyjXOUbd7l9RiM2ax+rcr1wQcfBB/PnTvX1qxZYx06\ndIjqfgGIgEcfNStVygX5dPRY2/U8gLCI2cA/ZMgQW7hwofXo0cMefPBBd//nP//ZGml8L4DEUr++\n2ezZZt27myX/cVpS7UWPtV3PAwiLmG3qr1Onji1YsMDeeOMN27Ztmz3zzDNu3m4ACUrBXUP2NGPf\n5s1mlSvHXJ8+kAhiNvBL1apV7d577432bgAoTAr2BHzAf039AAAg/Aj8AAD4CIEfAAAfIfADAOAj\nBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q\n+AEA8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLg\nBwDARwj8AAD4CIEfAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEf\nAAAfIfADAOAjBH4AAHyEwA8AgI8Q+AEA8JFUS0CBQMDd7927N2zvefjwYdu/f797z5SUlLC9Lyjb\nSOK4jSzKl7KNJV7M82KgrwL/vn373H2FChWivSsAABR6DCxZsmS2zycFcrs0iENHjhyxX3/91YoX\nL25JSUlhu5LShcS2bdusRIkSYXlPULaRxnFL+cYrjt38UzhX0C9btqwlJyf7q8avD1y+fPmIvLeC\nPoE/MijbyKFsI4vypWxjRU41fQ/JfQAA+AiBHwAAHyHw51Fqaqo99NBD7h7hRdlGDmUbWZQvZRuP\nEjK5DwAAZI0aPwAAPkLgBwDARwj8AAD4CJlqebB9+3b7+uuv3Vjdc845x00MhILZsmWLzZ071445\n5hg744wzMs2JcODAAfvqq6/s999/t7POOssqVqxIUefT5s2bbdq0ada0aVNr3LhxuudU9j/99JM1\nadLEGjRoQNnmw6FDh+y7776zXbt2WatWrax06dLpnl+zZo398MMPVrVqVWvRokXYJg/zgw0bNtj8\n+fNdsqTOC+XKlUv3vCZk03mhaNGi1rp1a+ZSOVpK7kP2Pv3000CZMmUCrVu3Dpx00kmBOnXqBFat\nWkWRFUD//v0DNWvWDJx//vmBU045JVC1atXAzJkzg8+vW7cu0KBBg0Djxo0D5557buDYY48NTJ48\nmbLOpwsuuCBQpEiRwIgRI4LbDh06FOjVq1egSpUqgU6dOgVKly4deOCBByjbPFq8eHHghBNOCDRq\n1CjQrVu3wIknnhiYN29e8Pknn3wyUKpUqcB5553njvF27doF9uzZQ/nmwciRIwMlS5YMdO7c2Z1n\n9b2fOHFi8PkvvvgiULZs2UCrVq0CTZs2DdSqVSuwfPlyyvYoEPhzcPjw4cBxxx0XeOihh9zjI0eO\nBLp27Rro2bPn0ZS5b7388suBAwcOBB/37ds30KJFi+DjK6+8MtC+fXsXpOSf//xnoHLlyoH9+/dH\nZX/j0YsvvuiOT50gQwP/K6+8EqhYsWJg48aN7vHcuXMDycnJgTlz5kRxb+ODjr969eoF7rnnHncO\nkE2bNgXLThWB1NTUwJQpU9zjX3/9NVC3bt3AI488EtX9jgcHDx4MFC9ePPDaa68Ftw0ePNhdYInK\nu379+oGBAwcGn7/44otd5QEFR+DPwaxZszTU0X3JPaqBqjZFMDp6jz/+uDuhehdZqjGNGTMm+PzO\nnTtdcJo+fXoY/lriW716daB27douuGcM/N27dw/ceOON6V7fsmVLd5JFzsaNG+eOzW3btgU++uij\nwIwZMwK7d+9OV2NVS2CoIUOGpLuoRdb27dvnzqcqU89LL73kLpxkwYIF7hy8Zs2adK2wOi+E/g+Q\nP/Tx52DVqlVu3uMqVaoEtx1//PF28OBBW7dundWtW/eou1r8as+ePfbvf//bevXqFez73717d7oy\nVR+qFkbS/6Ft27ZR3NvYp4v466+/3v72t7+5PuaMVIYtW7ZMt03HsrYjZ+q313HYoUMHdy5QDoVu\nkyZNsmbNmrkyzHguoGzzplixYvbPf/7T7rzzTuvXr59bmGfUqFH2xBNPBI9bLYN+3HHHpStbLcS2\ndu1aO/HEEzl8C4DAn0syj5JJMh6o3nMomP3799sll1ziEvcefvjhdOWZVXlT1rkbOXKkSzrt27dv\nvo5lJVEi9+NVQUZl3L17d7dN5Xz77bfbl19+mW3ZctzmjRL5VMYTJ05096psKfnXO26LFCmSLlGS\nc/DRYzhfDnR1v3PnTrfMoWfTpk3B51Cwmr5Onsre/+ijj4JfYl0E6MreK185fPiwawmgrHOmlpIH\nHnjA2rdvb2PGjHE3ZUEvWLDAPv744+DxGlq23rFM2eZOZaTA06VLl+C2rl27upYAyvboLF682K69\n9lp766233Pngs88+s/vvv98uuugi++2331zZ6/yr83DoceuVOwqGwJ+DM8880wUmHZCeyZMnu2FS\nZcqUKWCR+5eGQXXu3NmVqcoxdPlIbdMQqA8//DC47dNPP3XB/+yzz47SHsdPM3+3bt1szpw5Nn78\neHfTiVInVZ1I5dxzz7UpU6a4JlLvf6HaqrYjZ+3atXNlvHLlyuC2H3/80WrUqBEsW11k/fzzz8Hn\ndXxTtrn75Zdfgs33nvr167uLWd1OP/10K1WqVLrzgsq2YcOGBP6jwFz9uVBTtJr4Bg0a5Mbzqz/q\ngw8+sAsvvPBoyt13FHAU2HW1/ve//90130lycrJdeuml7ufp06fb+eef7/r7qlevbo888ohdc801\n7h75c+qpp9pll13mak+ydetWt00Xs506dbLXX3/d/U80P4VaWpCzq666yubNm2f9+/d3/fs6D7zw\nwgt2xRVXuOd1PlDez80332wzZ850/f+aMyE0oCHrFsDTTjvN5VCo5q+m/meeecb16f/3v/91r1FZ\njxgxwrVq6WJA54O33347mB+E/CPw58H777/vakvqQ73yyiupgRaAEiKvvvrqTNsVdNTM55k9e7YL\nSup77tixo11++eVMhFIACvhqKfH6pL1JUp577jk3gc9JJ51kf/7zn11tCrlTy9Nrr73mWknUJ60c\nFU0w5VHA0oWAgr2aoHUBQPJv3qhb6tVXX3UtVN4EPrrQ8roBZdy4ca7WrwqDzglt2rThsD0KBH4A\nAHyEPn4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADKDRPP/20DR06lBIH\noojAD6DQaD771atXu5/nz5/v5sEHULgI/EAc0XS7mir2+++/T7f90Ucfteuuu84tJpOdZcuW2V13\n3eWCraZD1rKyS5cutWipV6+ePfnkk2F7P02Xq88FIGcEfiCOaPESrXCoNSP27t3rts2YMcMtJnXP\nPfdku66B5jrXIj2aF10Bf/DgwW6Fsz59+gRr4IVN6wRon8JFy7h6S+UCyB6BH4gzQ4YMcctCK9Bv\n27bNLWjy2GOPWZMmTbJ8vYK9WgO0wuQrr7zi1jpXrf/WW291LQfe8rJ63cCBA61Dhw5uERqtMJfx\nfbJ7/sCBA25xFa2weMMNN1irVq1s48aNbkU7LaqiFQG1wpoWu/FkbOqfNWuWW51R76ELEv0drczm\nLSW8du1a9zd0a9u2rWu90IqZohXz+vXr55Yj9l4zbdq04NKvem379u3d++r9AV8LAIg7P/74Y6BU\nqVKBpk2bBi666KIcX/vOO+8EkpKSArt37872NQcPHgycfPLJgQsvvDDwySefBF544YVA6dKlA2+8\n8Uaent+7d6/6GAL169d3f2/27NmBpUuXBkqWLBkYPHhwYNq0aYHbb789ULRo0cA111zjfufLL78M\nlClTJrgPet/U1NTAeeedF5g6dWrg/fffD1SqVCkwevTo4N/Q++qm97v88ssDZ555pnvuwIEDgVGj\nRrn3816zffv2wJYtWwJVqlQJ9O/fPzB9+vTAyy+/HChXrlxgxowZYfgvAPGJwA/EqT//+c8u2C5f\nvjzH1z366KOBatWq5fia8ePHu4AYenGg32vcuHGenvcCv4K1Z8CAAe5CIVSLFi1yDPwpKSmBHTt2\npHuPvn37ZrnPhw4dClSsWDGwYMEC91iBvUKFCuleM2TIkECnTp3SbRsxYkSgR48eOZYHkMho6gfi\n0MKFC90a5qeffrrdf//9ufal79ixI8fEv+XLl1vjxo3tmGOOCW5Tc/mPP/7ofi+35z0nnXRS8Gc9\np/0LlfFxRhUrVrSyZcsGH+tnNd+LmvxHjRpl3bt3t5YtW1qLFi1s9+7drgsgO1rjXV0KXvO/bi+9\n9JLbN8CvUqO9AwDyR0l96je/8847Xd/1ySefbP/+97/t+uuvz/L1rVu3tn379tnnn3/u+sazUqFC\nBdu6dWu6bXpcvnx5lzCY2/OelJSU4M96TjkIGX+nRIkSBfqXawTACy+8YMOGDXN5CcWKFXMXAfps\nklVio/ZBn1+5CaGKFy9eoH0AEgE1fiDOKNgfe+yxbiIc1ZBHjx7tLgJWrVqV5et1YaBRADfddJPN\nnj07uH3//v321FNPuSGCGgan+/feey+YIa9A261bN/c4t+ez0rVrVxszZkxw1MCiRYsyJQzmx5Il\nS1xN/9JLL3XJgxs2bLBNmzYFny9XrpzbL+9CQJTMp1EPukjwavz6mex/+BmBH4gjH3zwgQumb7/9\ntqWmpjXYdenSxWX2X3311emy5kOpRaBXr14uU75q1arWqFEjq1y5sptQp1KlSm6YoLoOlBl/wgkn\nWM2aNd3IAc0PILk9n5XevXvbFVdcYSeeeKL7expN0KZNmwJ/9ptvvtk+/vhjO/74490cAI8//rjb\nL49GNSiw6zkvq/+8885zLQQaPaD9rlWrlvXt29caNGhQ4P0A4l2SOvqjvRMA8kaT8BQtWtQFv1Cq\n5apGrSBbsmTJbH//4MGDtnLlStckX7du3XRN83Lo0CHXcqAmcrUmZJTd8zqNaAIdtS6oRh1K+QUa\ndqe/t379evcederUcf3zK1asCI7lV21d7920adPg72pI4J49e1ww91optP/KNahdu7brw69evbqr\n7Xv7offQ0EP9PW+7LoiUC6Amfr0e8DMCPwAAPkJTPwAAPkLgBwDARwj8AAD4CIEfAAAfIfADAOAj\nBH4AAHyEwA8AgI8Q+AEA8BECPwAAPkLgBwDARwj8AACYf/wfjRYZrOYgq6sAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def plot_cities(coordinates, title=\"Cities of the Traveling Salesman Problem\"):\n",
        "\n",
        "    \"\"\"\n",
        "    Plot the given coordinates representing the cities.\n",
        "    \n",
        "    Parameters:\n",
        "    - coordinates: A 2D NumPy array of shape (n, 2) representing the (x, y) coordinates.\n",
        "    - title: Title of the plot.\n",
        "    \"\"\"\n",
        "\n",
        "    # Extract x and y coordinates\n",
        "    x = coordinates[:, 0]\n",
        "    y = coordinates[:, 1]\n",
        "\n",
        "    plt.figure(figsize=(6, 6))\n",
        "\n",
        "    # Plot the cities as red points\n",
        "    plt.scatter(x, y, c='red', zorder=2)\n",
        "\n",
        "    # Annotate the cities with their 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",
        "    # Set the title and labels\n",
        "    plt.title(title)\n",
        "    plt.xlabel('X Coordinate')\n",
        "    plt.ylabel('Y Coordinate')\n",
        "    plt.grid(True)\n",
        "    plt.axis('equal')  # Equal scaling for x and y axes\n",
        "    plt.show()\n",
        "\n",
        "plot_cities(distance_matrix)"
      ],
      "id": "8e69ecd9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## How to Represent a Solution?\n",
        "\n",
        ". . .\n",
        "\n",
        "We will use a **list** where each element represents the index of a\n",
        "city, and the order of elements indicates the **sequence of city\n",
        "visits**.\n",
        "\n",
        "## Random Solution"
      ],
      "id": "9bfd8ac1-3962-420c-8192-12f0659767b4"
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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dd73n/fuDHHC7diIvvGA1ApgVwMwAUhc8hpwwy9+smY0GUORIF2YGpRmKBzh4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\nEgg1/IqiKIqSQKjhVxRFURRJHP4fzSuHUVmhZPcAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "def plot_tsp_path(coordinates, path=None, title=\"Travelling Salesman Problem\"):\n",
        "\n",
        "    \"\"\"\n",
        "    Plots the given coordinates and optionally a path for the TSP.\n",
        "    \n",
        "    Parameters:\n",
        "    - coordinates: A 2D NumPy array of shape (n, 2) representing the (x, y) coordinates.\n",
        "    - path: A list or array of indices representing the order of cities to visit. If None, the nodes are connected in input order.\n",
        "    - title: Title of the plot.\n",
        "    \"\"\"\n",
        "\n",
        "    # Extract x and y coordinates\n",
        "    x = coordinates[:, 0]\n",
        "    y = coordinates[:, 1]\n",
        "\n",
        "    plt.figure(figsize=(6, 6))\n",
        "\n",
        "    # If a path is given, rearrange the coordinates\n",
        "    if path is not None:\n",
        "        x = x[path]\n",
        "        y = y[path]\n",
        "    \n",
        "    # Plot the nodes\n",
        "    plt.scatter(x, y, c='red', zorder=2)\n",
        "\n",
        "    # Annotate the nodes with their 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",
        "    # Plot the path\n",
        "    plt.plot(x, y, 'b-', zorder=1)\n",
        "\n",
        "    # If a path is provided, connect the last point to the first to complete the tour\n",
        "    if path is not None:\n",
        "        plt.plot([x[-1], x[0]], [y[-1], y[0]], 'b-', zorder=1)\n",
        "\n",
        "    # Set the title and labels\n",
        "    plt.title(title)\n",
        "    plt.xlabel('X Coordinate')\n",
        "    plt.ylabel('Y Coordinate')\n",
        "    plt.grid(True)\n",
        "    plt.axis('equal')  # Equal scale for x and y axes\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": "6a302c84"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Calculate the Total Distance"
      ],
      "id": "8e2cbbb6-9908-46c2-a3d2-ca873c9c9933"
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Function to calculate the total distance of a given route\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]]  # Back to start\n",
        "\n",
        "    return total_distance"
      ],
      "id": "8b7159ec"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Neighborhood"
      ],
      "id": "b0ba92f5-810e-4176-9f51-80cf7852e815"
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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dd73n/fuDHHC7diIvvGA1ApgVwMwAUhc8hpwwy9+smY0GUORIF2YGpRmKBzh4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\nqOFXFEVRlARCDb+iK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          }
        }
      ],
      "source": [
        "plot_tsp_path(distance_matrix,current_route)"
      ],
      "id": "ba49ed12"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "**How** to generate a neighboring solution?\n",
        "\n",
        "## Generating a Neighboring Solution\n",
        "\n",
        "**How** to generate a neighboring solution?\n",
        "\n",
        "## Swap Two Cities\n",
        "\n",
        "- **Description**: Select two cities at random and swap their positions.\n",
        "- **Pros**: Simple and effective for exploring nearby solutions.\n",
        "- **Cons**: Change may be too small, potentially slowing down\n",
        "  convergence.\n",
        "\n",
        "## Reverse Segment\n",
        "\n",
        "- **Description**: Select two indices and reverse the segment between\n",
        "  them.\n",
        "- **Pros**: More effective at finding shorter paths compared to simple\n",
        "  swaps.\n",
        "- **Cons**: Can still be computationally expensive as the number of\n",
        "  cities increases.\n",
        "\n",
        "## Remove & Reconnect\n",
        "\n",
        "- **Description**: Removes three edges from the route and reconnects the\n",
        "  segments in the best possible way. This can generate up to 7 different\n",
        "  routes.\n",
        "- **Pros**: Provides more extensive changes and can escape local optima\n",
        "  more effectively than 2-opt.\n",
        "- **Cons**: More complex and computationally expensive to implement.\n",
        "\n",
        "## Insertion Move\n",
        "\n",
        "- **Description**: Select a city and move it to a different position in\n",
        "  the route.\n",
        "- **Pros**: Offers a balance between small and large changes, making it\n",
        "  useful for fine-tuning solutions.\n",
        "- **Cons**: May require more iterations to converge to an optimal\n",
        "  solution.\n",
        "\n",
        "## Shuffle Subset\n",
        "\n",
        "- **Description**: Select a subset of cities in the route and randomly\n",
        "  shuffle their order.\n",
        "- **Pros**: Introduces larger changes and can help escape local minima.\n",
        "- **Cons**: Can lead to less efficient routes if not handled carefully.\n",
        "\n",
        "## Generating a Neighboring Solution"
      ],
      "id": "bb8df91d-86bf-4d5c-8c80-8d8ec4359506"
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Function to generate a random neighboring solution\n",
        "\n",
        "def get_neighbor(route):\n",
        "\n",
        "    a, b = np.random.randint(0, len(route), size=2)\n",
        "\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]  # Reverse the segment between a and b\n",
        "    \n",
        "    return new_route"
      ],
      "id": "228c1e41"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## `simulated_annealing`"
      ],
      "id": "b13728cc-9700-4e26-b4a9-b1a41a2da8f3"
    },
    {
      "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",
        "    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",
        "        # Accept the neighbor if it is better, or with a probability if it is worse.\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",
        "        # Cool down the temperature\n",
        "        temperature *= cooling_rate\n",
        "\n",
        "    return best_route, best_cost, temperatures, costs"
      ],
      "id": "1b3ed4b1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Remarks\n",
        "\n",
        "- As $t \\to \\infty$, the algorithm exhibits behavior characteristic of a\n",
        "  **random walk**. During this phase, any neighboring state, regardless\n",
        "  of whether it improves the objective function, is accepted. This\n",
        "  facilitates exploration and occurs at the start of the algorithm’s\n",
        "  execution.\n",
        "\n",
        "## Remarks\n",
        "\n",
        "- Conversely, as $t \\to 0$, the algorithm behaves like **hill\n",
        "  climbing**. In this phase, only those states that enhance the\n",
        "  objective function’s value are accepted, ensuring that the algorithm\n",
        "  consistently moves towards optimal solutions—specifically, towards\n",
        "  lower values in minimization problems. This phase emphasizes the\n",
        "  exploitation of promising solutions and occurs towards the algorithm’s\n",
        "  conclusion.\n",
        "\n",
        "**See also**: [Properties of Simulated Annealing - Georgia Tech -\n",
        "Machine Learning](https://youtu.be/enNgiWuIHAo). Udacity video (4m 10s).\n",
        "Posted on 2015-02-23.\n",
        "\n",
        "1.  **Exploration**:\n",
        "    - Exploration involves searching through a broad area of the search\n",
        "      space to discover new possibilities, solutions, or information.\n",
        "      The goal of exploration is to gather a diverse set of data points\n",
        "      or solutions that could potentially lead to finding better global\n",
        "      optima. It prevents the search process from getting trapped in\n",
        "      local optima by encouraging the consideration of less-visited or\n",
        "      unexplored regions of the search space.\n",
        "    - In algorithms, exploration can be implemented by introducing\n",
        "      randomness, trying new or less-promising paths, or using\n",
        "      strategies like simulated annealing or genetic algorithms that\n",
        "      encourage diversity.\n",
        "2.  **Exploitation**:\n",
        "    - Exploitation focuses on leveraging known information to refine and\n",
        "      improve existing solutions. It involves concentrating the search\n",
        "      effort around areas believed to contain high-quality solutions\n",
        "      based on prior knowledge or experience. The goal is to optimize\n",
        "      and fine-tune these solutions to achieve the best possible outcome\n",
        "      in those regions.\n",
        "    - In algorithms, exploitation can be seen in strategies like hill\n",
        "      climbing, gradient ascent/descent, or greedy algorithms, where the\n",
        "      search is focused on local improvement and making incremental\n",
        "      gains.\n",
        "\n",
        "## Example"
      ],
      "id": "ff4c7426-d4c4-42bc-a30b-4e969081346c"
    },
    {
      "cell_type": "code",
      "execution_count": 42,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Ensuring reproducibility\n",
        "np.random.seed(42)\n",
        "\n",
        "# Generate random coordinates for cities\n",
        "num_cities = 20\n",
        "coordinates = np.random.rand(num_cities, 2) * 100\n",
        "\n",
        "# Calculate distance matrix\n",
        "distance_matrix = np.sqrt(((coordinates[:, np.newaxis] - coordinates[np.newaxis, :]) ** 2).sum(axis=2))\n",
        "\n",
        "# Run simulated annealing\n",
        "\n",
        "initial_temp = 15\n",
        "cooling_rate = 0.995\n",
        "max_iterations = 1000"
      ],
      "id": "491cd478"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Held–Karp Algorithm\n",
        "\n",
        "- **Introduced**: 1962 by Held, Karp, and independently by Bellman.\n",
        "- **Problem**: Solves the Traveling Salesman Problem (TSP) using\n",
        "  **dynamic programming**.\n",
        "- **Time Complexity**: $\\Theta(2^n n^2)$.\n",
        "- **Space Complexity**: $\\Theta(2^n n)$.\n",
        "- **Efficiency**: Better than brute-force $\\Theta(n!)$, yet still\n",
        "  **exponential**.\n",
        "\n",
        "## Held–Karp Algorithm"
      ],
      "id": "638adc63-b05d-473f-85bc-a2e901366109"
    },
    {
      "cell_type": "code",
      "execution_count": 43,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Using Held–Karp to find the minimum cost of TSP tour: 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\"Using Held–Karp to find the minimum cost of TSP tour: {min_cost:.2f}\")"
      ],
      "id": "3f7e152d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Held and Karp (1962) and Bellman (1962)\n",
        "\n",
        "## Execution"
      ],
      "id": "a49d6071-7fdb-4c5c-9505-521052758b98"
    },
    {
      "cell_type": "code",
      "execution_count": 44,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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K5P/555/gHkFXo637Kcq5ppWK17NWoh/BPXjqqacGeiTp8FoC6H1wLIW+X6XB/YkuxRxz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\nHEO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uc6ps/m7evHlwb6rTjRhETZs2rSCP3J/Kxn5lPProo8F5s5AJU53O87oj3uNigSzc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ggKtKCML3Co5kDNqGR58JU955zjLqAo9IjHuCpW/MskvlcsjjCCTyZ959b3jGC5AHC59Twh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\nRTH3UO4AvveKEV9QbY0b53Ij/jgb2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ZP/B0d1KAA9ugmuAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# Simulated Annealing function\n",
        "\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 10 intermediate solutions in a 4x5 grid\n",
        "    fig, axes = plt.subplots(2, 5, figsize=(12, 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\"Iteration: {idx*100} - Cost: {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",
        "\n",
        "best_route, best_cost, temperatures, costs = simulated_annealing(distance_matrix, initial_temp, cooling_rate, max_iterations)"
      ],
      "id": "960405f5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "When I initially published these slides, the selected initial\n",
        "temperature of 1000 was excessively high relative to the objective\n",
        "function’s cost. By adjusting the initial temperature to 15, we achieve\n",
        "a more effective balance between exploration and exploitation.\n",
        "\n",
        "Due to the snapshots being captured every 100 iterations, the increases\n",
        "in cost are not visible. This is illustrated on the “Temperature and\n",
        "Cost” slide.\n",
        "\n",
        "## Best Route"
      ],
      "id": "99b90f04-54db-41a4-b2eb-ca5d88f241e7"
    },
    {
      "cell_type": "code",
      "execution_count": 45,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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i98llWG4NwTR0wRX4EcVxPON8GF4AhMgDjhxJFys+8rUDO0jUGycUyGsUHbHn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\nRU5ErkJggg==\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\"Best Route - Cost: {best_cost:.2f}\")\n",
        "plt.show()"
      ],
      "id": "57d72f65"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We have found an **optimal tour**!\n",
        "\n",
        "## Temperature and Cost"
      ],
      "id": "9b04162a-9f2d-4de5-b2b0-3f7f977dfd1b"
    },
    {
      "cell_type": "code",
      "execution_count": 46,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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HgR0AABAwdXaKPN0VAAACFoGdKjaoVZLo6p8Ltx6QjJz8qn55AAAAr0HGDgAA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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(\"Temperature Over Iterations\")\n",
        "plt.xlabel(\"Iteration\")\n",
        "plt.ylabel(\"Temperature\")\n",
        "\n",
        "plt.subplot(1, 2, 2)\n",
        "plt.plot(costs)\n",
        "plt.title(\"Cost Over Iterations\")\n",
        "plt.xlabel(\"Iteration\")\n",
        "plt.ylabel(\"Cost\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "6b34cbe2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Swapping Neighbors\n",
        "\n",
        "- **Description**: Select two cities at random, swap their positions.\n",
        "- **Pros**: Simple and effective for exploring nearby solutions.\n",
        "- **Cons**: Change may be too small, potentially slowing down\n",
        "  convergence."
      ],
      "id": "51a677de-ac82-41d3-a6c1-8ac8403ef2d0"
    },
    {
      "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": "9e1307bb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Execution"
      ],
      "id": "c9a59525-a323-4b86-b86c-b7b451d0f7ff"
    },
    {
      "cell_type": "code",
      "execution_count": 48,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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coT2RMflmbs0BdpRMOGwwDaoTMfp8VjKW6Z4LJK58kVFns0VmgYZdfK5Uzn1z\nwIDD54FAmACGBmqAhTxcfgIgm5DBcX7ifwdYNGGsy80JNuUYE9kZpBjKtkxJNuyM6x3OHiOljJeF\nJzuGePiG3Fy/8DFxv7OJaCqQKwS4z5g4goMKS2uRS7Ne+cAj1efFg/OYrOQtEdjsomSAsAyvDx6c\nR+S+2F8655ZMDRlGviiFgiQmW8jGLNVrmQwQR+edd15w74Rtb9SoUcH3psovvUosUfDPZwhvNCGP\nyd7ky8Hnw+dBtMY32S8Fn0eTyfD5h3zIl8/zQJE1YMCAoLE2Wa14EMBz3vCNYVDKQMDufUKqz0sE\nzmX8+WwqQCOJhFIWdU2itQpFKec13XPr/wa1EKouVDTYNZ8rFz40Hr6cI5Gd0Ygb8jWRb8zmXJea\nb6SUE/VDc8qopuwR1XGY1GH99cqU5o4hHlx//AnPCx8T6zelQPHZ4HyDe4BNoZ+oyLXFXlEHhq8z\nPg/b8AR7qs9LhHR9I0kJNrwoOhOB6+F9Y6rnFqUEqh2+KJXCfiGQIHay9Y3p+rzmrkkYKF6I14nz\nSxWJ1jLf2Je9UDrXv1C+MUx+sK9hX5Yv34hSMz5Bz2eD9OezoWIhtoNIIu6MX4dRw0DieH+a6vMS\nIezHmgMkOXt5Su8hPeIFG150AVmU7rklNuWL0qaHH344iJ9I8HEuCukbWWdQEFIql2y9Sef1Mkas\nBJonb7zxxrFtt912jufSwJXGfPFNA4cMGRL77LPP6v9P8y0ajcWDBkvxjfJoiLf44osHj4ebcCU7\nhnDzZBogrbzyyrFevXrFJk6cWN9QlEZINEEMz6pPdky87zXXXNOooRSNz0aPHh1rCjQHppkhzYIB\nDaVoEEsDOo4hV6DhGw0qd9hhh9j48eMb/Y6GkHzOdM5F/LUCNIyiAZZ//WTnPtVz89prr9UfA/jx\nxx+Dxts0RWsKzTVPpnkwjVvjG7KWY/Nkmrbx2Ntvv93ouTSYo1EnDffCDb4mTZrUqPmlb7hHA9N4\ncI1ooumvOc3/uH+4j0455ZRmjyG+ebL/f7iZG41juWf69+/f7DHRdLt169aNHjv88MPrm2Zn2zyZ\nxu4029t+++3rG7vRMJaGmDQeTfd5ucDxxx8fa9OmTezxxx+fo8kejR/PO++8tM7tnXfeGZs2bVr9\n//mZdfPII49s8lqmeq6512jQzBeN2P09t9JKKwXrij9f2Gb8+k+D1/iG6TNmzAg+Wxh8HhrYsx4U\nE4maJ3NP0DQvHtgN5zn+mN9///1GjZLxi94vhfHDDz/Eqqqqgqa5HpwX7DO+iX2yYwg3T/b/X375\n5esbZ3Nf87c0Bgy/XrJjomnkRRddVP9/moazZoQbLyfCgw8+GHyWo446qsnn0QCe+zfc9JTXZ+1m\nLUr3edmCa8e52XzzzWN//fVXo9/RiHe++ear9ympnFvW6Pgm2TRaDDdUTnYtUznX2DYNLcNNKml+\nz3ERx4TjGg8aiLK+h9eIMAp1rnPRPPnTTz9N2MyeWIuY69xzz210bjh+Pp9HU43ksYdFFlmkvtE7\n54u4jcETxxxzTLPHEN882f//uuuuq38O9wfNN//3v/81e0zEnvFhP8eB/28KNPAeM2ZMo8fwZTTd\nDzcmpWkvzUJpxO3vcZqz4psuueSStJ+XC9BgFp/LehIGMeP+++8f69evX1rn9u677673Wd73MCTB\nD3FIdi1TPdf83c8//5ywCfqVV16Z9jXx+OKLL4LXoAFtqSBR82SakCdqsL7bbrsFz41vlEsD5Y8+\n+qjZRvIMTyHWJX4In0N8c3wcmewYws2T/f+XWmqp+nWee5khEDSx9s20mzom1vmzzz67USzG87hW\n6SBR82S/38WHskfyOPjgg4P1J+y7U31etsBf+Qbi8XE79kdDaO8fUjm3XPfwtQf3339/cC5GjRrV\n5LVM5Vzjj3m98PrPsBEaSvM5iFnDay4+j/OWrIl+Oq+XDUqC2CGowOBY5DnRvms2wQ6BLoEhhAE/\nc6EhAghgmyNRABtLXpvgmvfebrvtgsUxnthJdgxhYgd89913QZd9bkCOh87dkCvxU1dSJXZSmfwE\nuFHYVDEJhYWFG2GhhRZqNG0kV8DBEiRy3jkfOAmC9viNeirnggUH8ocNG0bJ67LZCncAT3buUz03\nzz77bLA4Qw5xnZnMwiSBsPGkS+zgBDBSpvGUGxIROwRSTE7ivtx9992D8+wX0CeffDIIuAlOmFax\n/vrrB8FoKiQKwBa59pBp3Jtci4EDBwbvFb5fkh1DPLEDeG/ImXXWWScg2PgZOwzbbDrETqpTsehY\nz3GxKeO1cS78n2lvYRC88XlZHwjUuecI7OLvuVSfly1YH1jXmOCxzDLLBDbL52W9wKmFJy+kcm5P\nO+204Dqx1vJa3A9rrLFGvZNt6n5K9Vyz6WBdYM3o06dPsJ6xnoTvAzbCPAYBxL3JzxzvOeec0+i1\nOHbOL6QQjpxNKfdheApFKRE7rFmsefg1zh2bBYBj5/iZ6sG5x55Ye/Fd4SkryUgUwCaE1+YeZoIL\n35k6Fk/sJDuGeGKHTQaT5iAkWOchKyHv4yctpUrspDKpifuMTTUbsr333js4vvDXyJEjGz2f9Z5z\nxn2Ev2E9S/T6qT4vW3APc955L2yMa8q9i/0fffTR9YFfKud2+PDhgQ3z99gA9wWbt2uvvbbZa5nK\nuWaiDxtcCEUm62y55ZbB62NL4ckuHiRkuC6HHXZYk+egUOc6W2KHa8FayHn3axmEOGA6E/EN9sv6\ngj2xFp5//vkpETskpbim/I33jZDvfA8TO8mOIZ7YASQFWAOxU2ImyBCmDLJpyITYSWVSExtg7gd8\nAP6A9Yh7AF8WvxkhfoRIZg3mfuVewobjE2SpPi8XgKxhE83+gePnPmddwoeFpw2mcm7ZiHM9OWe8\nFv4dG4YMbe5+SuVcc83xi0zB4rzwM+caAiq8YUznmgD+ns17PGlUasTOSy+9FKxlPvbySSjiC5JU\nXBNPsEAOMiEznDxORqIASEO/TvIarKWeJA/HkcmOIZ7YYZ/A+Z933nkDcp37i3UuPGU2HWIn1UlN\nqRI7fsoi54zj41h5zzfeeCPj52UL1iRiIt6L6wBhxz2OPTKJ1dt/KueW646tcR+wPvN6HTp0CCZO\nNXctUznXxOkQNfhGjpkv4lvWLPyyB3EV6wYkMJMI4+OVsCAjldfLFlX8owKCulSaFtNjJdGMexo4\nxU/7oGM5kmPqR5FbxTfGoj8KdYLJSo6+/vrr4AuJPrIu+hBQKhJffpLoGJAcU6dKzZ4HNapIdH3z\nPORe8Q0pkx0TEu3wBK8vv/wykJvRDLFLly7Nnj+kaJwLJN7IKam1zBeQ4iERQxbOZ+GcxJdnpXIu\n/OfkvNMDhHMS38w00blP59zQXwRZLzWZyAqbaijtQY8d6jBpShdfG8pnp3s+JSOURpQTxo0bF8gy\nuT/CJS1cR+SWNGvjutGnwdf9ct64jvQo4vMiLQ43TaNbO39LaVuiew5pOZJWOt/T2wSbwQZ4/7At\nJzoG6oO5DkhMw++JbJ9rSkkXUtx4u092TNw3lDuEe1zQc4RjStQ4OAzsnelK8fDS6zD4LNwjSJ+R\nhiabPJPq83IB3gsJ6u+//x7YGLLWRI0Emzu33qaQoXPcSETD046aup9SPdcAiSw149gi9x3rbHzP\nEF6b60mZFusH9p2sGTJlhVx/+lqw1uer/0g6oC8CjRnjS4rp08D5Zc2jj0tYcsz6w3pISQC+gt+H\nQYkZ5QFhvxQGay3SfdY1mg3jQ7HPPfbYo1FZWqJjYO3gfg9Ph+E6cV9xXFxb35Q5lWOiLJZyFC+v\n9v53q622SjpJhnUkftJJGInWbNYDPgtrCH2KEpUipPO8XIAeBdy79AXAhxK/xDejTOXc+nubOMaX\nOsVL2RNdy1TOddhv4G+xe/4+WfmZ95vx/qXY5zoV0LiTnouc4/CaxzrIWsbQANYbyjd9rMM6xznk\nd6wr+MZwDw/KFSghwj8kambK9WCNYw3AFolN6FXGa/m+hsmOgWtB3wh6HobL+vCZvCZ+m3U5vslo\nsmPiHqLcKFzOQsk56yqNR5sC9ynxILEa/WpYl5KVfvFZ8Hmcb+I5vrJ5Xi7Ae/HZuX/5vMmapzZ3\nbgHXkvua46YsxpcKNXc/pXOuvc/DdrDlRKUr6VwT1nXWoUxbW+QDNPXnHMbHVty/XCtsBzsNN8xn\nTeXcs3fj88aX7WHfxAfJpmJxTjlnfr/Ce3EPxseRiY6Bnmbsb8Llg2yheR5rHdeI+Dd+nUt2TPQp\nC6+1XEfuPXqXUXaWKrhn6THDeycq58G3DBs2LLgHWbeTNV1O9Xm5AHbo93zeN8b3Rkrl3AL8HGVc\nHG+vXr3m6C2V6Fqmc645v/hGpgSzZrAuhLkD7Cp+CloYNFAOtwho7vWyRcGJHYPBYDAYDAaDwWAw\nGAwGQ26QWUc4g8FgMBgMBoPBYDAYDAZD0WHEjsFgMBgMBoPBYDAYDAZDmcKIHYPBYDAYDAaDwWAw\nGAyGMoUROwaDwWAwGAwGg8FgMBgMZQojdgwGg8FgMBgMBoPBYDAYyhRG7BgMBoPBYDAYDAaDwWAw\nlCmM2DEYDAaDwWAwGAwGg8FgKFMYsWMwGAwGg8FgMBgMBoPBUKYwYsdgMBgMBoPBYDAYDAaDoUxh\nxI7BYDAYDAaDwWAwGAwGQ5nCiB2DwWAwGAwGg8FgMBgMhjKFETsGg8FgMBgMBoPBYDAYDGUKI3YM\nBoPBYDAYDAaDwWAwGBR1YmfCBOnbb913g8FQXJg9GgylAbNFg6F0YPZoMJQGzBYNhhIkdkaNknbe\nWZp3Xmm55dz3XXZxjxsMhsLC7NFgKA2YLRoMpQOzR4OhNGC2aDDkDVWxWCyWlXH27i1NnSrV1DQ8\n3rKl1KGD9Mkn0lJL5eZIDQaD2aPBUA4w32gwlA7MHg2G0oDZosFQwoqdfv3qSZ2J6qyhWl2z1MqR\nPDzO7w0GQ2EQsscvtKLGaj73uNmjwVA0W5yiDvpEa2im5jJbNBiKaI//1syld7We3tH67nHzjQZD\nUWwR2/tRS+gp7axJ6mS2aDAUXbFDbSRlV7W1wX/v1356T+upsyZpez2v9fSeWrSoksaNk7p0ydXx\nljc4Z2PHSt262Tkx5P7eqrPHv9VVZ+uS4OFbdaSq/HNatDB7NFs05BtxvvFR7aE3tUngG3fUs1pH\nH6i6RbXZYvw5M99oyLM9spEcoH7qqvG6RGebb0x2vswWDXm2RXCTjtZnWkX76kFtoHfdcyxONXs0\nFEmxw8JfZ5xgBX0VfJ+kznpI++h8na+hs3sq9tfYhr+JaqMsqyc15Bshe2QD6fGpejY8Z/Zs97wo\n26PZoiHfaMI33q/9gw3l17OXNls0ezQU2B6X0E/qpMkar676TQs3PMd8o/lGQ0FtEayqkcH3kVrV\nbDEeFqsaCk7soDqpbvjz1TVM3TW6/v9j1U13VB2u/g8upq9eHK1Y34g2WPb1pM8917Cg8X3QIPd4\nFM6BIf8I2WMrNfS7ulsHNzyHTAjPi6rDMFs0FAJxvnFlfa6l1GBbv2oRXVt1km4YuKj+eP+naNoi\nMHs0FNgeUa+uos/m3Eyab7Q41VBQW1TIFr/W8q5U2WzRwXyjoSjEDuVVO+3kGiXXOcyd9XTw81ya\npb7VgzT30vNpzKhZum6nN3XtoB76uXbR6BEboXrSRrDabkMuEWeP69fJWmdpLgW1ljy+447S+PHR\nDeDMFg2FQBO+sVq12rT6LbXpsbC+GPGfLtzkTT30bAdNqW0XLVsEZo+GItjjHCoB841mi4ai2GIn\nTQlUdDVqGZA7Zot1MN9oKKWpWNfpeH1VtZI2b/uedvzkHL15+CN66f1OmhZrE/y+o6boVF2pBfSX\nM+I+faSnnlKl15POVrUe1L6BqmljvdXwHKsnNeQKIXukSeTJujp4+JQW12mZjn+4KXU4DDaONTX6\nRYvUy9FrVa1Yi1aKrbe+YhdfIlaFZF/sPf2q4X9O5SubvwPh10j77/6dptgFF7rfqSr4aqvpOkD3\naR7VlaKZLRryYIveN96iI/Vp1WrasO0n6vNePz13+CC9M7SdamNSG83QNnpRW+oVLDFSvhE8oj3V\nRRO0lV62vieGvNrjrJqqwDf+p1Ya0OJszd1x9hy+kcEDkLDzarz7+0q2xzhbfFlbaphW1xZ6Vb01\n1D3HfKMhT77xRW2tgdpJ61Z/pAM6PTOHLdaohX7SEoHqtarSbTHOHmtVFbQ1mUf/6Hhd72IDYPZo\naAKONs0UjDL3RjhwYHAj7lz9rL5abDsNWW83bdpa2uqD87VBrLVe1lZ6SVtrijrqPF0QKAq2r3le\nXZ591t3IldhgOVRP+oVW0vtaV39qgcbEjq/trsTPbygsQvbYPrBHqNsq3bvkRer/wqpS1671dorD\noIkkwW09Zkt6p0q6a6bUunVlXb2Js6TYEnM8zLq0lx51/zFbNOQKCXzjTtXPaWT3nfTu2rtr87Yx\n7T3sVG0S66antIs+18p6Rn2D/h/r6gNHBkXEN7IWvaMNNFstAsp1K73inmP2aMiDPc41cKBWqP1K\nI6t66rP1jtKGdx3QyDeykbxMZ6ilaoLvwWaqku0xru8JpaKj1T0uNrA41ZAf37hq7UgNrOqrz3rs\npNoXzlJ1yBYBvuFR7ak99Jg21ZuVbYtx9jhBXfSX5td0tW0gdYDZoyFvxI43UpjTuk76i3brpjWf\n7qKPP5YGPfaHDqqtVTtNV18N1PdaWj9oyeDP3tX6+khraZPZb2rrn8epfSUaqK8nra3VUK0RPLSY\nxjR+jq/tNhhygZA9rnrtLI0cPbfGt26t2JJS1Xff1jsMnMQi+jXIhHTTWC2pH5yOJRZT9Yo7SAsu\nCCcU3L58D/6m7udUvrL5OxB+jZz83eQqVT1xpapis4PPSSPbW3SUPtA66qtn1EYzzRYNuUWcb1yw\nWzet93wXvfuuNPDRP3VEba0W1J86VjfpDh0a+AiUZJEI3kK+kbVoNQ3XJ+qtp7Wz5tXfWl3DzR4N\n+fONL03RyJfn18jVW2vDpeSGCNT5xqnqoH/VPvj5Zy2uHvqpsu0xZItgnOYLvs+ncQ3PsTjVkCdb\nXPCvsZr3jsX099S2+qmFtOTYBlsEJMN96WRA7FSyLcbZo7dFYvRGMHs05JXY8cDA6oyMVh7Dhkkf\nfT+PtqhaVIvEfgkeb6X/Gv0JGYFXqrbSO7ctpq12lDbbTJqrrn9WJdWT/vfsYI2c7eq5w0006yWF\nlbg4GYqLLl2027HSyHPcf8eMkbrHBXCUftyso4M+PIybbIlkB4dx6HVSxd2SnaW+q9TLe8HS+j4g\nmz/U2tq45Xtmi4b8IOQbd9hB+ugjafhPXfRTVQ8tEfsxeNxnx9vr32gEb77XQp09bqS3AmLHN3zv\n0mKKeuy4svlGQ17uvZW366Kqt6RvvpFmIlAN+UZP6oBvtFwDsVOp9hhniww+abSZtDjVkMd7r6pL\nF626lvT669Knn0pLbto4ToVoBaO0lP5TSzccpFJtMc4ex9bE2SIwezTkrXlyE6A8cKONpNhcrfXM\nKv+rb5QVdphg1+pntPzKLTU91iZQ3p1zjvT2246MrRgMGKDP266pmVVtGxM7nJMOHYLfGwz5wHyO\n7A/w8MNzNq5jIsFC+l0TNXegXKlvXFepRCO2hs3Vff6NNST4PqRqU8Xamy0a8o+553YJDEodn17p\nXMVatGwUvNYTO5Vui3H2iF9cWL8FD9dUzaWbWx6nv/tdUewjNFQoOnWSevRwHP9XXzX2jfHETiTs\nsc4Wp7XoGHx+BqBQFmpxqqEQ6NnTfR85cs441dsjDZaDio9Kt8WQPY6rXqCxes72jYZiETtg222l\nNm2kL5bbTd+1XTW4IafJTf5YV+9LVdX6YK4NdfwTG+qkk6Tu3aVJk6SHHpLOP18aOrSh0WpZY6ml\nNOyMJ4IPSJPWLpro2GaUOtSZIkk0GPIEglfw889zbqaq6lQ74OWqbVTbvmNlE42+thvbq65WT32q\nTlVT9Uf3tfX9E5+aLRoKgq22ktq1k75boa++bNe7kW8MiJ2oBG8he6yqrnZEK3WT3btryk7764YX\nemjatGIfpKFSsWrdUCxUAmHf+G+LzvXPYSM5q0XbyrfHOlsct8XewRw/NpJVFqcaCoQll3Q+8a+/\n3Fc4TvW+EXxdvVLl22LYHlfZrN4ebd9oKDqx07GjtOWWVEB01lOHv6zYDn00VR2D3zEKvevS8+i3\nHY/RW78tpeWWk848UzriCGn++V3p5B13SP37u2xKORM8yHw/+7NbcDKWvPY4p/0dN87VlxqpY8gz\ndtut4efff5+T3FhDQzVv1T8a130NDbt7ZOXfk762+++/1fKbL7XBg0cEtjnkp+7FPjJDREAAS+ID\n3/j0Qc+pdocd9a9X7FTPiBbpH7LHtT67U20O2z+wx5ZdO+vPP6XbbquvnDQYcopVVnHfP/+8ruqj\nzjf+ux6Bq+t1VVPVSj9scmg07HGppTTuolulAw5Qt/OPtjjVUDDAIa68cki1E4pTvW+E9P9m+Z2i\nYYtgqaU0tu8Rzh5ff9Ts0VCEHjsJsPnm0pAh0s+Tu2romU9pZqeZqp45XR1v2l27j+miW25xZb1r\nrOGIoNVWc5K8996Tnn/e9QW57joFxE/fvtLii6vsQNAwa5b7ealV20vLLlvsQzJECEuEBkE984x0\nzDGNG9dVjx2rrX9YSA8+21GDP5fW6NvQ9DgKfU826Ca9+I40YoQ0caIrlTEY8o2NN3Y9BX6b0FUf\nn/6k/u0yQ5o6Q+1u2F3qVsES82To0kWtu3TROptIb77p3OQvv7g8CCre/fePyLpkKBgWWMC16SCR\n+MMP0tJLO9/471mXSEvMVNWM6Yq1aauv+7TW8hHYRwLOBWWi8620QAX22TOUOtFK/zmInUAUUBen\n/nvkDGnCDFW1a6vRrVtr2kIKaXgqFwga6u1xbSRNxT4ig6Ku2AFMTN5+e/czwRkPtF94blXN0yWQ\nwa6wggKpNf116g+oWtpgA+mii6Sdd3bZTYK7Sy912btApldGoKTMIwoks6G0wGaInlfgs88SkBvL\nLqt1tuwYEBooeiAiowROAWsRGVumFRkMhUCrVq5NAHj8cWl2yzaaq9vcahVFUicEevOB77+XDjnE\nnaf335deeqnYR2aoRN/oy7HCvvFf2ly1bq2l1pg7+E78GRUgJgeV2pfWULpYaSWn3IFknTLFPUZc\nRg/Wqi5zq8fyrQOy47vvFAnQmuS//6T27d0+2GAoCWIHrL++cxLTp7v/+xsUp7rHHo7IQaEzenTj\nv2M6Fr0ILrlE2nprF+ANH+767zzwgJsgW+qYMaNho0y/oYUWKvYRGaII7KxROVYcaOmxxRbu58GD\ny7v0MVP1BKi4xu2GksZaazmfEGwkKcNqPFsgklhwQafQReXKWnXooS5WIPmDAt9gyFefHe/3fF8n\nfsdGE+V4VHo9eWInPHjBYCgE2COh1MQOv/jCPeZ9I/tGhAAgKkSr2aKhZIkdHCMNzj0gaMJSWMq1\nMORHHkm8ocSgKcO6+GJpww3dY2TWzz3XVZN4wy9FICn0/QFoDgaJZTAUGt4hgldfTfwcVHJsLH/6\nKToZEQ+CCdYiMiRBfbfBUADgD1Clhv9vaCBaKeNmc73rru7/997rsrkGQ65AXIbfo+TBq8F9TIma\nk+EDxKXffhuNcx6UfhixYygy0erjME+oYqMQ/lEkdkw9Z0gXBQkl6Z3j8euvjX+33XZu9CQbyg8+\nSP4alIrss49T7NCTB4naK69IZ58tvfhiQx+bUoKVYRlKAShyKIsElDUkAr8PxjDL2VOUgCLAbybp\n72EwFFJ+7jF+vJ13H9zj79loE8SzLlGiRZLk5psbAl6DIVtApjZq2ipp6lT3neE7UdpMMuiD5Abx\nQiVPkjaUfkPzL790e7ywmpUeq8Spf/zh+iFGhWQ1YsdQksQOG6e11274v3ecXn63yy7u56efbijZ\nSgamZh12mHTWWdLyy7vnI9M+55zSKqWAaWZxCmeGDIZSKMfCMSbCJps4x/n116Hx6BEB6xOfHbVS\nsvNjMOTDN6Ja9WBjFXWw2fbq3Lfecudozz2lFVd0scMNN5S2UtdQOSoBYsyoEDueMO3a1dSDhuJg\nnnmkRRd1iXpUcmFiB8IxaHCuaCjorBTLkCkKJv7GWD3o4xHfawDJKw2zmIaVCrp3l048UTrpJPcz\nATENmlH0oJQpdp8QggRPMhGoluNEL0PlgGlzHsmaBFP26JUrUVPttG3r1iFfAmIwFAokKzxS9X+V\nDkpD8Zv0PqGfHj8ffri0yCJOyXPrrTYG3ZC7UmU2jT/+6GLQcF8PrxL488/KVwlY6Yeh1IjW+P5z\nUVLQGbFjKHliJ6zSYeP0998N/ycjt9de7vsbb6SXMcfQzzxTOuIIFyAjX7vjDql/f+mrr4pH8ITL\nsBZbrKEUxmAoBsKNWV97LfnzUA8Q5LKhStRouZLhSa0PP3SNzw2GQiCsPoF0LbfJj/kA5dmUcOO/\nUeJ6de+xx0qdOztlHUMUip3AMVRW01aGXXh7pBSLHpFeJVDpm0kjdgylRuz4fWM8sYOqvJLX/vpR\n51aKZShlYiccvKJkGTSo8e8hP5igxXi7xx5Lz2ghhAgCUevsu6+rz2eSwXXXSddeW/iyEj4rpJKH\njTk3lAJoQu6RjDxlQ4UdgqiNGF54YRfEQ+p89FGxj8YQFYSTHvg/SosNDUTrO+80qHPo/QG5w9RM\nCNh49a/BkI2ilYQcZSAQOtxjICrlWNY42VAKoLqDdZ4qDL+P8sQOik0IV1ScldxrjT0kbUYgnfm8\nBkNJEju+bpkJWTjNjz+es5Eyv0P+ChuLYiBdINdGwn3RRW7aCK+FM770Uum22wqXCR0xwgXoHtZf\nx1AKCDcxx/6SYcstnS3xnLCyLgqgSatXFVZyRshQOvC+sU8fNzVy+HBXFhJ1kBBhHDzlMfjUcBLI\nj0EnQdTUWmYwpALfQDm8keT+ii//qGSfYKUfhlIAdudVO/HEDr9DXVfpRGvYFv06ZDCUnmJn3LSg\nSLn73JOCTBwO8plnGj8HZnLHHd3PTzyR+aQrMi1bbSVdcom09dYNwTKKHuTbsL2FKsMCptgxlALq\nu+vPnKnBD09Magg0T6TfDDb68suKFHr1cqolytBGjSr20RiiAO8bF+owub6RMoMEKnkTmQoIaGno\nnqjvFYH/bru5n++7z2zVkB1QCNCrMbC5mTPVfvrf9f4RJadXCXhVSyXCSrEMpTYdKzZjZuAb29VM\nrv9duByrUmHqOUNpEzvsjnbeWVPPuVR6/DG1X6+ntnlwH7WZMVFffDFnd3OmYSC3Y/RrtptKFDuU\nn1x8ccOUDXoYnHuu9NRT+ZmsQXYx/JnYTLNRNBiKjlGjtPmnV7id0OOP6c+uK7qRdAkYDIhRNlaM\nR6/0ppFh0F8I1R+wJsqGQvjGf08/P7DHDpv01lb37qX2/03U9983nqoYVUAwI0fnVMUrfDfd1BE/\nfgx6JW+6DfnHKvP+Lr3ySuAf2980QJp33sA/Vv0wquKbtmJD//zjlLpMJjIYiollW4xSm9efr49V\nO2y1Xn2s6m2RfValJj+MZDWULrFDNNa7t/Tcc5oWaxs81D42RR1ffFxbPXV4UEQZn5nEsTDaFEDs\nQPBkC3ru7LOPU+yssYb033/Of599tpv+k6kyKBGsDMtQkqizxdWG3UkeJHhoaGw1V8uAjcaROwsu\n6NQrBHxNNVuu5Ik8qPxs/LQh377x31i7et/Y9oUnte3jB9b7xnBJbxTB0IF11klMtEI87767K6Mh\nSWNj0A0ZY9Qo9TxtC2n06MA/tte/zvjq/ONyHX6taGKHkmvicEgdkhsGQ9EwapRartNbK/70Qn2s\nim/0tjjfpFHBfcqaH0/2VwqscbKhdImdfv1cZ8iaGv0rVyQZOMyaGm024wV1Gj4kaGwcrp8HNDAl\n5oWAoSQrV2Bq1mGHSWed5Rri0ZyKRpXnnOMmb/jx5NnAyrAMJYk6W1xi9vf1Dz2nHRxzg43y+zhQ\nxgiwjXyo20pZlk+pB3E9jVsNhkL4xnaaFvx/oxkva54Rr+u336x/TLjvFQ3N8dlhQMDi02m4STB8\nyy02Bt2QmT0u/O93mif2d0OcCur843IPnVvRKgHrr2MoNd+4au3w+oe8b+TxqjP61Tc0r9RyLLNH\nQ2kSOxQkw5rU1ASc60y5ed9362D9oB5qPXuadvjh2qCemV478aTKrru6bB2kT66Nl1rqE0+UTjrJ\n/UxW/qGHnKIHYiZTxz15shvDSsbDT1SwxsmGoiNki9WKaS01jHz6U/M7h/nss3P03ME2VlwxMFG9\n8YYiO5EnF4SvwZDMNzZKekhqNXuGdhx1VWB4mCUJjigD9SDye5S1H3ww5++JE445xilzKWG7//7K\n3Hwb8muPVbNrtKpGBg911JSG39fUaN4XH1DX9tODBMcvv1TelTCFgKHUfONK+kLVcpLVDqobHVkX\nqy630OSKVtAZsWMoTWIHT1GnI6ep93Z6Qa30nz7TKrpcp+tKnaLOtf+oW7spwVPfe6/xnxOkbbut\n+/nRR/OzuSJYPPNM6YgjnJqH47jjDql/f9eNPd3gcNgw9ze8FkEondwXWCD3x20wZGqLYGk1qHaG\naXX3AwaWoEnFNtu47xA7jAGPCpi8gO3SX2iki/UNhpzb42y1UC+NCILYVqqb6S1pzdoPtHCnKUHf\ni7feshPf3LQ6PwYdkgdlzwuo+A2GNO1xWw3WxhqiDfV2o6dU1c7WcvNPrNjNpPX0MJSaLbbXNO2n\nB7SnHlU7haSas2druS5uxDFEPlxPJYE4m16tDP1hH2wwlA6xQ9dgdNJ12EHP61KdGTjOtpqu77W0\nbq46RmOndQx+T2YSZUAYTAjhZf78U3rzzfwcJnX6jIFGrbPvvs6QxoyRrrtOuvZaBaVi6ZZheWNE\nrWOj6gxFR5wtzi/nFBsROy1ahMZmNZ7oxn3MSGZKsqIC7NardqyJsiFf9thSs3WY7tRxurHRU6pb\nVGvnPVoFPw8e3DASParo2dP51b/+mnPgggflWH4M+nPPOYLHYEjHHjtpivbSo5pXcc0dW7TQ8mu0\nr9jyD1MIGEoxVl1XH2gTxTVXa9FCnXrMq4UWcgn0n35SRcFGnRtKl9ghhbbTTo06sXXUVO2oQbpM\nZ2iX6oHqvFQ3l2KTazfwv/81lp3zpzRHBARqlDrlC6wlNE296KJgUEkwUYvMzKWXSrfd5gLKpkBm\nn36YsKwodYCNOTeUBOJscQH9Wf+r37Sw/mqxkLTjju55cWCT5JVzr74arbKQtdd2yxMbyT/+KPbR\nGCoGCXxjI/D4jjtqxXU7a5llXH8rmv1HGfhnP9myKaKVMbl77OF+ZqAKGV2DIRf2uGzvThWrErDx\nyoZyskWeV6mT6swWDaXdPHnAAKlDhzmMtE3L2dqy04fqP2ilQCUTJkeOO0566aWGJolMvOALeRpT\nQvINeuMw6vmSS1zzWIgapuOg6HnggTnakDQqwwIrrdTQqd2IHUPJIGSL9A9ANRegqlrD2qznfp8E\n9NlZZBFHrCbqcVGpaNvWjVsGVg5jKIRvDP7P4wMGBKQqSQbAZDr8Y5Sx/vqO4Pn00+R+GDACfbPN\nXHUpY9CbS8oYDKnYY6dOClQCJDd+/LFyzhmVL0zFAvPNV+yjMUQeKdgi8MROpSnojNgxlDaxA7Px\nySdSnz4N8jpKPvj/J5+o5XJLBSoZJll4UD9PM+UzznBEDptJVDvYNJvKQjlUFDt9+0oXX9yQKXz3\nXencc6WnnppzSpAvw1phBen3393x0nzWYCgJhGyxqrralWOxc+zeXcMOvaVJFpKn+V47kK5Raibs\ne3uw9kSpx5Ahz2jGN3p7XGIJVyrMZvL556N9VTp3dueCGKG5slCGL6DeoYSNMegogg2GbO3RT+Op\nJJUAfbwgdxBLkMg0GMrBFlGzEptSihXfxqOcYf2uDKVN7ACMECaElADekLuW/4c2ktguhInHvPO6\nTdTLL7vmxpSAUGPvGymH+sDmHdT177OPU+yssYYLsJHFn3229OKLrsZz/HhHOKH28WVYkDrJ1IQG\nQ1EQssUFLjle2v8Aacst9ev0rs1mtdlQ0RScex3fGhWgVOK0sR5Zzw5DoX0jQJmOjySxQL+5KMP3\nveJcNFUOw/mi3w59dzitKHeiVEZqyI89VmL5h/XXMZSjLaKoXnxxtx+spJJbI3YMpU/seJAOYNRM\ngj4efgNFTwtAs1YUO716ueCN7JxXxIwePecErUKATe1hh0lnneWyNpSKMZXvnHOka65xzyFD6Edh\nWhmWoWTRpYvm77lgfX+rcClhUxslShO9aidK44TDTZSj9LkNpeEb8T2UIXHv4XOiDPwq5TAoeUeM\naPq5LG9MyuK0/vCD67lj9mvIxh5RCeALUQlUioLTSj8M5eobK7Ecy+zRUD7ETgpAaYfKhcw43488\n0ill1l23UaN0Pfigq7MvRpCGEufEE6WTTnI/T5rUwLACzxwbsWMoZTDKO4zmiB2w5prOv9JIGPuL\nCiCY6a9AiSUN0g2GQmP77Z0iFDKjkvp7pAuk9/TQSXVaHYpbPwYdpSFDGAyGTNGmTeWpBPxGMsFQ\nTIOhpFFpCjoqQOilx353nnmKfTSGckVJETtduzZkx+mzAxZcUDrgAKl/f9cQ0YO+PJdfLo0cWRyC\nhwWFMjHf3BKgKvIbP1RHBkOpEzsQNQSrNPz2AV4yQLbSWBxQhhiV7DefG8UEsNHnhmL1l9l8c/cz\nveeiYnvJCGbWLHytH1TQFFADH364I4VeeCFaDeANuUelbSat9MNQrmCfRV8o/MCUKSp7+CbmtCMJ\nixkMhnRQcrcOTVoJ2r78srHjZANKE+WTT254jMwltfMXXCB9+GHhm7oSKCbr98OI9J9/LuzxGEoA\njGthPnZTY1tKAEy/4P4lO8Akt1RVO+utJ3Xs6EoiKyWwTQU0UMfRMiEPlZ6hTFAm9pgKttzS9XBD\nKfD554osiA/WWSe9aXWscXvu6X5muiW3hKHAqBBbrFRixyZiRQwVYI+QOj6JXglrupGsEcWE3Npi\nyRE7TLPzvTwSZSYpt/SqHuBLQ+65x/W7eeONwnZI95vho4+Wdtih4XGu0aWXOoIn6g0vIwHSx8i3\noNqJ/Pi+yy4lW7uDQ0Qhh30ttph7zPexagqUg3jl3ODBigxYZ1Zd1RG577xT7KMxVJo9pgKaRW63\nXYOitZBDBEp1Wh1l2/S7SwXEDaieSADdeqv55YKhwmyxR4/KUQng/43YiRgqzB4riWi1/joRw6j8\n2GLJETtg002d9BxVQCIVAb14/PQpRpIfeKAr2WJs42OPuRIpRsPGjyTPNZgkRLNkAu4VV5TGjHGP\noyyCnML5k+GnTxBZwjImxg1NASPs3ds1cPC7Lb4PGuQeL1GH6cuxqOVNtRzLb5B4/nffuaakUYEn\nlCF2ojTyvexQpvaYKqEBIUu/J1SqUQX+niQPSZx0zgMxEwStH4Ne7hvzkkcF2iJxne+hWO4qARS7\nTItDhYtPN1Q4KtAeGWYDjNgxlBVG5c8WS5LYodGhV78wBSR+EwWpA6HjM5eMYj7vPOmoo1xjOwgd\nzhUEzxNP5I9Q8QoHRrG3aNGwyWU6Fsd38cWuhIOSF8azMtKdiX35JpwMhQE2SLZ4wkkX6vcpHfVj\nzaL6SstruHq5JzDSbepUqV+/krwkTNsBjDDnHk61HAsi0zcwZUJWVMBGknNGMExvL0OJAnubOlUz\na6r1kxbXbO/mStweU+33tOOO7mf8f5RHeGcyrY5yykMOcYMP6GdgY9ALY4uxmhr9qfk1XvNUhC1W\nikrA1DrRtMdZNVWBb6xRi7K3RxTnxKTcy8Sy5QwrxYqeLaqmRmM1n/5W15zZYkuVKOjl8eqrThVD\nhjxcfuV/zxh0VDI0ct1pJ7c5JRtHDwI2nPTpee016c033Sh1Gr/6zWwuiZ011nBKB64F03NQU/mJ\nHPvs4+TfBOE8/5VX3OfhWFAmhSZOGwoANgDYDYQM40r9l/8/38kCh/+f6Hl8BSV//PM8nXXXa/Q+\nN+kYtdRs92bPPuvYxSQjG4ut2MHGVl/dZb4hduhz1Rwox8K2PvvMKX1oUFrpgKBlHUIVyGYSQtlQ\nWpj22wR99swfGh47TF9pBf2nVtpLj2hj1TVjKWF7TKd5MH4Eu8O30XsnisDX42MpdUY54TfbzQGf\ne8wxrlSaPn333isdeqizb0PuEPtngn59ZqiGxbbTcK2mvzS/2mmartbJqipzW6yUMcu2kYwOZvwx\nQZ8/86uGxw7W51o58I276CltqVfdE8rUHiHrl1nGJdsgWtkblivMHqPjG3975hONiG0d+MbftZDa\naIau0ik52Te2LGVjRfVCLTxlVTRLDJMg/H6vvaQBAxwBxEh0xjUSnGHkfFEmBcHDZvW996T333fk\nD2VSKHuyAVJ4vtq1c06eWn+ARDc+QIRMOuwwF4CjMCIYQIlEPyCUSSxEKH5SAhcaFokPW0aLby7U\nMdkSMf7/uexN0Xr2NLXVhMAo+Wqr6cH32WrhDBQgOeOaldj18iQnG6MVVnBSbGzG315NAen2Bhu4\nexgbY2MUBbAOYbtsJP/4eqIWrP4rcrZYaoBQJ6ij7PXrD6TZsQMa/X4x1dXIepSoPaYK/Atl2ddf\n75IaTGzDD0UN+EzWINS5EK3LzZ+6b6TU+7jj3GRNEi40jiU5ZMg+ccLQCGxx+Ku1+jt21hy2WFUB\ntohKAJtD9YVKgPLIckTeenpENE4tNVBy6n3jV+9LNbGDK9I3Uo5V7sQOe3nWEvx7ztcTs8eS8I0I\nUZxvnK2xsbMb/X5ZfduwZ8zSFkuW2AGQMEssIf30kyNvtt9+ziZ2KHFQGlByRRYujEUXdYQK0nUy\nnIw5HTHCfUHGQPDwPZNMnS9Z6dXLyeN9OZyvvU4E5N8nnugWHxpD00PooYfcZ+MYUU0kPRbe4PTT\nHYsHMwGzRSQKs9XUmxb5Rp41a07iJV0ihu+8Tq7A9YLE4AsJp/85/H++QyQ29/+qiZIePqtptogd\nSHNMSREVOxA7HCIZcAjKVFU7EJVMpWFjRN+rEvyIOQfXfa3uf+rtGz/TW3fcqz1jj5SFLVYaJk92\n6zhOkl5P3vyqWrfT0lWj9EOsh2pVrY01RD30U1nYYzqAiKU0EILx5ZcbSpOjBoidFx6epJGXf6AJ\nR++jLrF/UrbHhRd2Y9BvvNERZNwSJIgM6QHbowwdW8Qm60vfZ3ZQJ01RR03Wb1pYrfSf9tFDFWGL\nXiXw6aflvZn0xE7OLkEZxqmVBvqGcV9iiySR633jXO20VNUP+jnWXTVqqXX1vpbTtxVhj+HSSPYd\n5ai+hNTh2CF12KPkBGaPRQXXE1Ww9431pYIzO6paMdXWpTmW1vc6VHfmzBZblkNm8qqrHDFD40iU\nAvHNEFnEKAn54ouG0c1hcG723depY15/3W1GWQD4gmyB4IFEwgelerE++cT9TI8j4IkdP3qvuUWI\n/j9caLL/lMLccUdDgA773Ghh8k2WSE3HN1lCMsHB5NBpQhQ2R7Qk+n+i36Xa+6A5cD6aI1oSETSJ\n/p+zRRPAphK4cC2g3OPBm8F6lGAGhLJBzgdZHW4tiMV0iB0+EsQqajhUO/vvr8rHqFHa6MId9faU\nE/VBbC311VNqXTsrb7ZoaAAbRu8gWRL92sK6DdFBaVzPnq314fcd9P37LdUlNl599UzZ2GMmvpFy\nInwaPa8oS4oaOo8bpdUG3qChM1bSO7H11Ed1jQhTtEeGHqD8JcHCgAMayada0hVlcIohFbFH4i+I\nVg9Mi4TXaqu11sIThunC53pJMamPBqmb6mZrV4Atcp/w2dk8lyuxk9MeOwWOUw0NoO8f9yKxG60o\nwr6R+xTf2KtXa434obVGvTuXOsUmalc92fgUlrE9kqREhTlpkpuSvNBCKjvkvN+V2WNRwJLHqfex\nKrbpwT2Kb1x22dZ69qN59Oe3k9Q99pOO1Y2aS//lzBZLmtgBZEUgayBtXnhB2nPPOTenKHmefNL1\nvmARS7Zx56QSDEPkQO4QEKOaYSQ5ZSn0vVlrreY3/r/95sgYRrOTNYUhJ/PBKGhUQqkG5m4j4jbG\nlJsh07ruOveaHGd9uVioyVIjhJosxZ58KlC1ZEvE8D2XDTmZIJEu8ZLod5zbkmXhyUYRuMRfI24k\nbhJ+X4LgfHLfYwPcz+FyLJxMKg4GW6LEEdUcxGkZxgTpoV8/LTLtOy0V+06jtJQ+0lraUO80bnhG\nh3RDTkCpQyBdHe6Um2HT8mQOzer9lETu22eXOEH6ZKD2mf2Y2syeWTb2mC7wD5CxBPOUI+23n6KH\nfv208ayvNDS2gt7RBtpWgxtq1FO0RwYccN+QPKL0mz9h6pahMTilJMM8mRMeAkFfQWyRL+5L76sf\n2fgaTXjpJXWvGaXNa1+rKFv0BCAEVzmqBMKjznMi0kghTjXfmDuQ/feqVVQBnswh0U9yGFtEhY2Z\n+cTIU4ufIn00UHvNfkLtZ0+rGHvE9nxLDIjWciZ2ciaYMnssGBBDhBMd4WmbJIu8b6TKiIqVq6+W\n/lx1Ky340y06oeamnMepJU/sAFQsNEKmWTJNW+M3nGQrmTpFSQkNXdlsNgVqo1Ek0NQYUoWAjo3t\n/fe75AKPI/FONv7RN03mQsGIe7UOZWMp98qpA3/Pe0Eo0QgT5QM3CJlYXn/HjSZqAWQ9tbWaqM56\nRn01WZ2Cji7T1VYzatpoxjNtNePgmYrN1Tpni2RzREuq/0/3fJQlyEKRjWIhrbtWwQeHcS1xCTKZ\nDogdbIfDDJdjNWdH3gmxucQmKCncfXdVLoiM6q4vJT4QO29oU62hoWqn6WXbfLDUwL3oyRxIxjBJ\nvPLKbl3ke/z6TGCL6uK/dnNrzfO30cpDn5MGflZW9pguEAsS3OPH8FuRIiTq7HGp2lotpN+DBoTv\nav2MGmWTSCGw5lwyBv2MM1zSKOogyUPshS2iiib540FSgLUfe6R5fjyxQVz01rcLqHqXvtp/wqmq\nfqVKqo1VjC2Wu0oAroVEHvFw1j26Qr4RjFDPoPxuS73iMtHmG3MCEsisUcRnxG3hvSDqQ5/oiL+e\n+EZUiTPbzq2eZ22rXiOfk54dVlG+0RM7kM/sEyPd7ypkj3T9HKxttaK+bCi9M3vMGpzCr75y9giZ\nQ+VDeF/kVKuuKsj7Rvwppd/Y7rxLdtaJ7++u9pd8kvN9Y1kQOwQNEB+oAojT4hu1sqih5Ln2Wmnw\nYFcekoosnY0CU27I2LExhVRBjYP6h9fhd0yuCpd/sUCGp2EBP+Y8mzURRQqKIUgeSrJQEwVSrjel\n9Wr31vZ6PiB1UAjMAZj6adM1V4fWWfeN4TvnpdyyT0UHF5/McJk1KQtPxgLhcqxUiB0ASYpNQLzy\nc3y5ZMWA61oXuPbSCM2tifpDC+o8XaA99JhW1zBVlWnzwWKCNZVG9J7M4WcP1icCVRwkgWtTUwQh\nNyDFUe/sfuz8Usfys8d0wcfCZ6BAJTY46ihFB3X2iKvaTK/rAe2nR7SXvtMygT121uSUGxDi7w4+\n2JV90/yXMeinnOJ8YdRARhGFNLb4+ed10x9DfYl89hESMVmcQABLogzb3nr3zlpkpzukCZdXlC2W\nu0ogXPqRdbwX8o0kIO/UoUEflxHqpaN0i+bV+LJtzFtsQBp638gkRA98IdUMPtHRlG8k74gtE+Pv\ndUI3Vc1deb4RlRLwPfdSba1RkaVYIXt8XtvrNW2uV7VFUJoO2RqYu9lj2qAqJpzogBj3wB9634if\njF9TIYJQBFMqCT9x0knS3PP2yMu+sSyIHQCJxeaRBQoCJL7kCaOmrAnmjPN0yCGpvzYLACNkKQ8m\noIHgIdsEuYMKgakjW2zhmlpRLoUBks1beun0++s0B5h2FEqokCg9e/f1tnpXGwSZSI8jdJs6a1L9\nBKY21f+pzc27q7pMJzNUFDDKMnKS4clYwJdjcZ9TBoPEPhXilcCCwIGKNBqBVyRYdFksamuDco+T\ndI3u1/76QUvqDh2mD7SO9q5+TF3LsPlgUScEDG/IVvk1EOUYDpJ1PZXNNXXMEPIAkr+eXCwze8wE\nlCIzGADfR5IhF36o3OxxPb0XqFif1Y4aptWDUfc762ltUP2+qlK0R5Irfgw6ZX933+2aK0chyYES\nh0AVWyRwDZdjk3H0AWuqSxuxE8kC/Mt221WuLZazSiCnCoGQLb6srQJSp0ox/apF1F9n6TDdoeVb\nfF+WjXmL4RshcLxv9LEZIDbzvpFERyq+kbIQ2lSAXXcNJb0rzB75KNxe3NeQ85S9RLaReZ09Tq5t\nr7e0UfBQTFV6WjtrtLrrAN2n1i1mmz2mAMgb9jbYIvxAeJAPPITrX9W0WhqO7Z573N+TeGSIUqO9\nVY5tsWyIHUgVFDSUWjFR6oQT5nzObru5oOTjj50KxxMvqYIAjg0qX5A1KGcIdiiRIiMK+YN8NVyG\nxUVmg8Lf5jKgZvHdZx/k9a016NPZGvppSynmGNi/NH8gq2utWQ1NlrpWzgJtKDyx4xU7BAooJLAh\nVDuQqKkApQ6LH7bCtCwyQxWHuEbZC+gvnaYrgt4eOMwvqlbR+Ytvoz5DuwRBfrlljIo2IUCupBjn\n6BrLpdfgnNd95BG3OSWD6RvaRwUkGUg8kAjAN556ajTIiLA9VtXUaHO9HijpUO18rpX1UNV++nCF\nQ7Xv9C5aqEvq55Ix6CihuU+fecaVaVUi6JEDGcjnRHFCAteDTRHqTewx3dG7bEpJjgEa6ley6qmc\nVQI57elRZ4uTnh2id2ZvEDx0qq7US9o6sMXrqk7Szmv/qS3m7tJ43L2h3odRnoEtEneRVPNgIwiZ\ngz021UM0GR5/3O1b8Kvl2uQ7VXB+IEggWsuJ2GHt8Nc8lWRqqvb46sAW+q+2lVbVSK2vd3WXDgkS\nH39UL6yjt/5Z81UQsZdLTJvWONERbhtGDzmf6EiFFMe2H3zQCVMgZuEu8l0yXzbEDth2W9dLh7o2\nAhHvVD0wCDaiNCJ+9FHp7LMzd7RU1vBFaRYED0ohSsHCDZEAzDABEaqFZD15st149711Kw3d4G2X\nRovVaqB2Cnp77NBisNZr/5lalGnDM0Pxwf3FJpAgj8WLoIESw3SJHUhNGp0T4EKCplrGVXaIa5RN\nkErz5J4tvtBjc+2nob13D5QjZHFpZku2O8pIZUIADhISPtO12tc4I0Vn+mEkSI04QKZid5xrCFbI\n2Uggzh676h8do5s0vMWaerTlvvphxd110UVuHUM5kgrJQEnNkUdK11/vfD8bX1S7lQCmV3kyh7LF\n+lHIVW799tnHTCes8XqUYPGdRFwZt+xICeyL8KEkRspNJZBTxQ4YMECvvHSx/pveWr1iw7SUfghs\n8bnqnfRCyx311CInaMxdzi82VTYUFbDhQ2HplTlUY3igOPW+EbvMtFclvoBYjnUvCr6RPSEtASB2\n2C+WC7j27COJiXJlG1POvVxDnn9d+q9K28VeUHeN0Vnqr5urjtXvLbur/3wn6NAvnfLLoEDZNnJk\nQ6Ij7BvxY943+r1/qjbOfoA2AdggSaNC7AnKitiBuWbDSC8BMmmws/ELFQEcU3rIGmHgBBfZgFo5\nau8Rxdx+e0PDMjKjLJq+E30+A5gXv+0h9e2qdUfdr7WG36KnYztpdNXiemjRM/Xqtmtox4nzaPUy\nnMpgKD5YbFioUE+QMaDnji/H4l5PtRzLq3YgdlDV0ZuK0oaoNMrutOMmOmzAcVpnRmc9/LBr+ktJ\nB+eBtSMfpG8lTAjIds1CdYBaB6CsiGoCivsL4gLJPb4J5VI5qQdyaY9VLVpo9R0X0QoXbKtnPusc\nxAEvvuiIalSwqYwzZ4Ow994u00bTUVQr8Ymkcto0+Ok5EH/hUch+shxl7Lnojcbaj9/ADikpjwK4\nnyB2yk0lkOspPFPmX0pv7Xyt9O7H2m70xUHvR2yxz47VWnT/TXXP650DU6VnDL3AcqJMKDMQLhAj\n+UQHRKsHZCobR5Q5JMqyXb8pIWHtAsQgUaiCQ5VETAFhRh68XNSCOZ+IJen1n5fUrL7zauVvnlD3\nz3+VaqX5W4zXmdt/qbt7HaGRv88dDAqgdQL76ijuHydNavCN2KX3jb5/mleRQ7hlAlTU+ESIWda8\nQiU6yorYAZQ4UO5B8ECg5hsYe7CZpCSLEeY0Wub3ftxfNsAJkVX2xA6lJjRB8vjnn/xIcdlwQ1RV\nzd1Z2ww+Tt1a7asz/xqrEX8uqIFvdAoCijvucJlFAimCzygaqCFzQOZwn3Ev8XOm5Vjce7DR2AgM\nNX2iotYoeyVJ553nVIMs6L4J+l57OTl1pSKTCQG5ANkQgmMuyUaulDyyoPyYe46NE+rSdddVNJDE\nHqkG3XslN0yBaWk05b7mGvd/ek00R2TQlJqAG9/qx6CXS4NcCHm/eaT80QNFJmQO9sh6RLIsV+DU\nU6UKUAdEhcxmA4BajixvOakEcq3YYbosEwlXPW1LLbrXp41ssRdxxprSLbe4pGv//tJhh5UvWZqu\nbyTRQSyFIsC3cwAQxj7RwVTdXPpGkt8sifhcJiZGAaxnVE+QWIPELpf7K9e2SMILISuMxPYDD5U6\n71Jvj226dNFRMUc6PMfg0IGunciBB0ZDSffPPw2T5fCNnsyBfGEtxxbxjdkmOoj9Ob/YNAOfCqmM\nKjtiB+Jmhx1cJo0bkkxTfM0pQQsXiAwK5A5ZumwRnoblAzycOdlRQD3euee6TfA66+SOKaZWHcKI\nqWCOze2iqi5dtNpyUs8N3QaaTSSGed11jrEmc00doMGQCpCSU0dKkz5PPpA1SpfYYQFDtcMmiM0Q\nG6N068HLCkkanuEcd9nF9eRiQwnRxZQd1iUa+2Za5lBJEwJyATZSkN7cY/TyiDqhzXkg+0bTXzbY\n9Boql4xlPu0RFQVl2QxCIJiF9EJtC7mDr27qviFZArnDPc6Y0lIegw4x78s6iAc8uAf89BwI+3wQ\nLsRHrHVkyYlVeL+owKsE2CSwJpaDUhXinc0fx5qL+xlV5pAh7uegWXYCW8QnnHmmW5/wF8SrxKr0\nB6u0tRs7INGBLULm0P8tHG9530jz1Xx8dpLOXA8SzfjGSKg36wCZA7HD/q9ciJ2cTsSqU04yzRAy\nwe0FG9sj9xxDFxZbTLrrroYm3ahKKlHZNa7Oh/NFyWw4ZuIced/I4I5cgH05va0A9sfrFxJlue2i\nARhBGoEMPXfiy624adlAXXih9M47boPJDZwNcNr0h6CUwDPrBC+e2PHd2JE+wtKhLCKDnE0TWdh2\nbhDeK1EmiMWaz0YghYoJEojMACUg3EgE+X6ctcGQ6mQs4EdLp1uOBdFKAIdqAGIoMqqBBCBoYyNI\ngAUJTZYAMoJ+r6wN5Rhs5WJCQC5A0MJGEhCg+Hs46oBMJHNOVtw3Mje4AA7SGcKaUkns8L773DQx\n1CXJ7h8/Bh1fzKSsm25yY9BLYfMOmYIKyQes/OzB2k2g6qfn5DsTSxyGlB119O67K1JAJcDaB5lG\nCUg5bCbDpR+5IBbITuMLGDzSVA8J4uGjj3YxMiQrQjtiDDY/5a4WwCeR6CAZho/k/x4kgll7sEd8\nYz6JLEgl7xspsUHBEiWQ1McHQuxEcSIWpG2g1qmLjZoCPuKss1ziEf/B3pGJ0pVAzP/xR4Myh3jI\nA9/N58Me+Z7rRAcCEG9/e+xRnD1QWRI7bIjIpKEMQK2CtDr+4rB40t8C5pJGyqedlt1iSm0woLTL\nv44fc05mlOCPm4hafthiZJD8zAYOGWQmWRGIGvpV8PpNETTcqKgqIHlQSvjyD44HEgzjjmrvCUPz\n8PeWn4wFfDkW9326qh2CCUb7cf9im+VIYOQKfHbWIcgO1iHKlPhOc2U2lOUQdOVyQkCugBKT8kE2\nVEZeNLY/suA0/sX/0PQ3V1moSgCBM1MpIJ3JqEFGkACC9GHdSqQwZC1kM3rZZS7bh+LgiCOKozKA\nzIFA8H0Bwms2m2Y/Cplyq0KptUh4URIJSKjlovS9HDeTXJdEQz0qXSFQX/bh1TrNALuh5wvJVuIE\nNkJeLVBufXdQ4uAbsUcSHZAqHnw+7xsLmXiAMPNl9alcj0qszKWsBsKQ2KUc/F8u7RFbJAHHOpRK\nzy/uTZR02CLxKcrUcuy7g29k2NGwYc4eIXY84AfCiY58JWZYA1BAcSycQ2L/YqAsiR2vDOCmRUkD\neZOImeQxAjiyKHxH2ZIJKIXiZgHhnj68rl9I2MB5Rh6mmE0t3z3RAmvHBiRVwyVYIguWTK2TCCxg\nEF70NmFx5+/5YhPJYxhqLmvqDZVF7IQVO4D7OV1iB0BEUgpCcMECy+tEHRCrBK6cD4gdsv+XXOJk\n6KxTpaAAyPeEgFyBNZ/ghWNhwkqmE0MqFWzqfSkyfqhSx3VnCu4bXy4EIUE5HwoCNpiUbdNLr6kx\n6NgwSl3KLQsBgkTWC6/MgdD0wJ/7/lWUBBW69JVjQwHFRgK1RnzPw6ig3FQCuezpES77QM2eTgyP\notX33cEfHn546RNjEFlh3xhOdLAn8b6xGCQVSWX2HKxxqKAquhQ+CVB+cR0oR4O45z4rZbCG5soe\nIRrZb4J0SD2IDyZBDh5cXn13OHcQeN43eoLM74e59tgja0q+bYF7DbEJsTJ7fZJFxULLcs9MXnml\nc6g0joxXxZDBguhAco3kk2xWJrIrlDk06GShDpd0ecVOuNM1x8VNxBfBGIssgSCTOSgLI/Bhk0ym\nuSnwdzgMNsXpNmykhwcBKkohNtgErJwj3p/3hkUsZWM1FBZ+xCIBC1+e/GPjk0k5Fhtt7jMCflQD\nLKzlxPznEwR8rA04Tkq0sHOIMybwFHvsZL4nBOQCrInIXDk27rGoj5NPBK4Xfg9ZNUEepL4pNucE\n69wBB7g+O/TsI8NHPIHKCdImPtOLCpjgl94g+FOCcOKOfIDgkPjCK29J9HgQ5/jNI6OQi6mI9D1E\niKuIOaK6znuVAJuhclAJ5GoKT7jsIxN1SKK+O6xdbIxK6V4i/kfNwP1Ou4NwogMimDidTWQx11mO\n6f773XfWfCZrRRXEKxA7EK2lTuwQd6H0wh9lu25Qfo1N4hcSJSiaAvcyNszetJT77hD7kdzzyhya\nIXvQ8LhnT2ePnINCJf3YI1GmzXWkcgZuopjrV9kSO4AbF3kVDgGmERlwPAjaIFUgWVCxZJJl802T\nw2VY1NyTOSOgSUa8kL0gECRgJBCkaSMKCL7YxKGg4TPE3wAYOiQMyGbKAhI7Jg/gJCkNI7vAhhJH\nTANqyrQs223g/uNeIShlIfcBQbgci0U+nZIXFGqUSZJBonynEmp2cwXWDNYqP62HbCWlMyid6E9R\nyOasySYEhEch52JCQK6AAoVacAIN1jBDYlAih7/Cd5GBI3trSAwCQAYfcG/xhcoVsoL6+LDP9xsG\nSijZQD3yiJtqkytClrLr8ChkVHMebBh9WQfrcylsekkCcA4AgWyUycOwSoCNP6RbFEo/wmUfmRIJ\nvu8O8QJfqOGIRYrddwcy1Sc6uK5h38jnxRbZRJZKM3WUU5w37JA+flEG6zR+rxwUdLkiWbFDes+C\nbGIj33cHJR2xFhPsmOpUzBgeshIb9L6RPXJYyOBVq756ppDgHEFIc/6J4UnSFts/lzWxA2D3aVTG\nhCoaFsc7Kt9Imfp4spdk49Kpd+WG4mZKVoaFM2vuRiIrQWaQumIMD9KGzS5fBAMQPBiTvxmCsZH/\nuZs1Fz04yGqfeKJb5HCasIs0eeZYqAOE3Sz2jWgoLhIRO/HlWOkQO5BClBmhlEO1Y8RO4s03DpR1\nCWUd55k1AfIZ0jVfNlnoCQG5dKAQ+IASrEhNfMoArO1cY0qNUG+Wy6juYoB7iWCYwAz1DkHknXe6\n5soEamG1IraJDbGu3X67dPrpbvJbpgo0Ei5e+QJZ4kEs48kcfHip+egnnnDkE8mpfCmXylUlUOrE\nTi5KPzIt+0gE7m3sD0U86h0IaRKiED6FLGkiWet9I4kODxKgkDnEQyQ6Sq2lAdeTGAJAPOdj8l05\ngaQ6pCD3EARdKU8izRWxgwIctQ7rcbpqnUT7Acoki9l3B98ISY4tcgxTpzb8joSK941+mFEx8Pff\n0rXXOr9NzHzQQaXRU7TsiR2CVVQ5BK801IRZTLSBQkHAhKnHHnO18qneCNxYBC/c6GGSJVEZVnOA\nSScjjxNEMke2A+dBR3LIH4yG4ACSCuS68RmvjewVxhPlDj1Q7rjDlYNAkOG4Si14NBSvgXK4HAsC\ngKCHBTVVEOyz+cFWCHizdTaVCAJGCDMcFKVrEDuoeFD3UdqQq+lSzU0I4P3pkVGqAaGXmaNqQOqK\nysLQNAgUsUE/lY1NkqH5dZCpV8QT9N/BHs8/3206Ice8wpUgl4CcDegNNzi/mmqJIkkbmixij5A5\nZPrC7+8DVuKNUvXHjHKG9IIMhmQt1eMsJIifykElQD8cMt5cu2xUVtmUfSQDpAm2RExMI1T67qA6\nRz2aLxDzeCUASc8w2RtOdGQz4TafQElEzMC64nuHRR2s09yTrLPs4TLtr1ouJCs2jSDA7xtzsR77\nvjvE8JCGxBDYB3138hUncg/jW7BHKnFYX8LxDMQqpDkEcLF9zsSJ0tVXu7WU/nb0ByuVCpiyJ3YA\nQRfNkcl4oxJI1HcB4sJPdeGGwYGkAt80OV7V4omdTOSnsP00TOVYkX2jnGHjBTsaJmGa68OTCfgM\nXkIK0YX0FaUGUjJuTiTVEGGNQN0Zqw+WFWW9dQQbKMdPx0pHtcPiTz8n7jGcgxE7yUFWEsKZjSLk\nM0TYRRc5spcmbI3UKSnYo58Q4LOPxZgQkEuwiaCclsxboZrWVgII8tiAQyDgs9JJREQV+EhUORCd\nqFKILVC68p1suM8QEuD+89s0/fj1LN10ZWudck7bpKUjkDdsMrBFFMaMhvaAwPFkTq6I3HyCTQSq\nJh97FXLiTymDuInrjw8tZZWAVwjgczLNLofLPpobqZxJLBLuu0OZcsp9d1L0jfhD7xvxkx5cP+we\nW/RJrVIHewhKOCmXJnFsaCBaWXMhWkuZ2MlFWSRiAFQjVICwd8wV/PAe9qIoWCE/Wd9IEjWrMEpx\n34g/YV/uyRz+HxZueN/Iz8UmczwQe1xzjUt2s+5zPkpJQV4RxA6TWdhAwljSS4ayo3iw6FEKxaaJ\nMaepjAMlO+zLsJBoh50aWW+c4hwkSBrAaVA+xkh0gkbKVrzcjMWIDTFN0PIh++TYyXyz4LFporcA\nzDYNNzEiMpILTB3ldOZIoUiZ80cU7zIaxHYIFQUfnMcrdrIpxwLYJQEgCzcEYrj5uKExcFqsM5At\nbCQp2aQvmJ/Ws2yLpu0xlQkBZDtY+8ppWgZyV7JFgLKYUs2cliLo/0ACwfeuOO200gmOyuHcHXKI\n64WFmg6fj6nhr/uu8oPanHuajh74ui6Lna7Rmk93PScd+fimql7GsWdkGwlUfUIpPD2HuME3QC6l\nxpSpgOWHgJZgn3vLMKdKgPiN+6ZSSz/CZR/5UE8m6ruDb6OlQUKyZVTzvpF+f943huMc3otEL/aY\nyr6glACBiLIQ0BOsQ4diH1HpwBMclLpy/UvV72VrjyQJvFoHkjUfnxOy0/fdgRRtsu9OM7bo99De\nN7JeotTxYI/gyZxSTBpMn+6EEBBclGAff3zpKd3LKLxvGmS22QhhxHwlGpm48cbuOfRqwBCaK3XC\nOcOCkkUL9ycgc8xCgTIoF4w+myxKxbhRKIvyQNbLcULAIAPPh1iGbD3TZXgPP5o9kKUOmaT1Bl2p\n7We+oy5+BADf0eRRQ8ZO38idioF3KhDsEJphSWE25ViQkpSDQO6g2jniiNwfe6UBEgZlABsDP63n\n6vMmad3nrtKuM19X+5A9xp4dpB9f/VHDLxms4b8vmHBCgB+FXCoy0XTAOss5IHihx1mqSktDA9h8\nk9GjL1w6alWDA0Treee5DSbr2JBnJ+nTg57XnjW/qFdsso7TDRqgfhr5WQfd1/MaLXPPmRr21yJB\n/MBa6oG615M56ayhpQRKx3H/xOo0ty3HNaVQKoFSJ3YyVQiQUfdqnVyVfaTSd4fEkp/S0+jY2UiS\nESErGucbf3r1B43o/6KG/7FgkCAIxyXeN0IAlFOiI+wbIZzZJKPADfcANbhNN0SXF46UIkmQi1Hn\nDAdCQUKyIJ8li77vzr33OuUOfXcQS6Aor18Dktgi+8Z/X/9QI2//SCPGLRKUW4UTHSiNfAPkQvbU\nShfEoXxuSGL2TIhISq3fFijD5SwxOLncYDD7KF/OPntOh0Mwstde0lVXuU0mjrepACs8DSuMTPrr\nNAcIJLIgAOOBwURFQ6aPbveoajheSJh8LFBsJpG7ohBCJfDuuR/q3emr66PYStpEb2prvaT2muas\nEaPt18+daENFAOIG5RvEAAFQ+B4jgwVjjz1kotqBlOT+9TJOX/ZlaBqsL+ec4wjXwce/r/enr6bP\nYktpNz2hLpqg4VpNI2b30qSpXaSrP5e2XLDoEwJyDcqIIOpZ3xNNPTQ0D7JJbMAefdQpWrHlcr8v\nCg0SIJQpr7mm9ODWz+mnWe10a+xQrare2kHPaQV9paGxNfThjJ768IyvpC0XCeIPCFVf+lyqpTmp\nAtdPnys2I/gAU18mVwlA7JSqSiDbjSQkMSFgrss+Uu2749UC9dPoiEU5oJoa1apKP2jJet84YWpX\n6SrnG1Hged+Iyqjc10BiMUpsWd9LYRJPqYHzwf1J3Io9liKxw74PBQjXMBO1FftELwbIl1onDI6T\n5Kzvu4MoByV+fd+dkC2CKeqgT9VTw2tW0zeTV1BtvwbfiNrPJzrKocNHTY10661u/8/xQuqUykS8\niiV2fNkH2STYNIw5XD7lwYLux8DCS9DwKNlFZCPaFLGT6XjHREApQyYEZ0UNvz9WPgsED4s4PXFo\n6kiQiEIpmzKwZCD43GfbCdp8vwM1KLa9hmoNvaIt9b7W1bm6SHNrkjs5WDRUeDlYpCEl4PggdpAp\nxztByrEyJXa4p1CkkVngXsYJGFIDmcTt1p2gNX46WA/F9tK3Wlb36KBGz+kaG6deY17T6keupSV6\ndq6YAG/yZNfjBNA7oFRGrpcjUGSSIED9BVlGDxlD+lik/QSd/tWBeju2vp5RX43UqsFXPWK10uif\n1WvZf7XPYe0r6p4lmOf+IVOZzTjdSkY5qASyKf0oRNlHU3136EMJmUHDcqo7tlpzgqqo062tVY1a\n6GKdoz/U0KiqS2y8Vhv9unodtpaWXK1z2ZM5YUIAoh7Qc87C8MQIEzuU0JYyyZqJLVGBQpwEyV6o\nptnhvjt33dWQsD1qr4mav84WwSdaQ3fpEMXkPlh1rFbLj35Jq/VZRz036FiypEgi8JH4rAgt8Okn\nnVTaqtsKWeYalAVIwwD3V1jqFcauu7rnsklNNsEAqRhMKo0NwwoDLjClWLlU7FCrnGxsJMbDVIAL\nL3TBOdJnDIleODRv8vWjOcXYsZo/9qcO053aUc+6Y1S7egMNgMbcr0qGim6gDHAaZK19OVa6QGmG\nQ/joo8z+PtKos8eTdI0O1L3qqvHqprGBiu4s9dclOlu71T6uHu3+rBhSBzzyiFsbIbtLuflhuRCE\nbIQAmbZwTbshDYwdq+rYbG2st3SBztNqGq52mqZV9FlgmxtrSOCQvxoxK5iWUSmgfB1iB1CCVU59\nSIqhEgDEZpVWilWoso9EoBcOZViQisS8qA/vuHGmZta6/DTxKXEqmEuzdLKu1qU6U7vHHtPSHf+s\nGFIH0CeU64DqgX2BITG8LdI/NOf7pCKTrIVW6yTru0OrEgj/S/vX6vPahkXhdy0U2CSx6v66X1fq\nVJ0Yu0YbLvV7WZE6sZhTqtKihDXohBNKk7APo4KWOgdGn7NBpZwENjMRYLdhHAHNlMN18M2VYaGg\nQVmDU8zVzYnKiDpZFqFkKiAMn74byFDZJCN7g5S69lpH8nDT+ZLGrMGbVVdrrObTy9oqeMiVf0xs\neA4MU7l1fTQ0Cb9YJSJ2IHWo4wa+oXg6oG6WMgbuUZ/xM6Rnj/jtdfSh+utsXaT/qa8GqrvGOLq1\nwuwR8pr7jBJBGkdXEmFVLODLSBTQcBOfY8jcFgHq1SN0u67RyTpGNwe2uaceVe+qYZrZol1Qi8+5\nLnewZt93n4uT6Jdm0w1TL8cqNZDsRJXLLUzpdTltJAHvyXsfc4yLgYf92EWXVZ2pcZpXrVQTJD86\nabJmaS69oO2C75XmG1ENfPihI+v32898Y3NxJ8oKFE7s3SqJ2KGCA/+C+MDH5oUGx03rEMqpple1\n1006VoO1jeDQltF3wXNaa6bW0/uulUeZ2WIs5jgCVM7sgZhcm49p1blGxRE7OCx6xQCaHUKYJGso\nidGTifK9bcIODLmnL0EJgwaUuVTroAryap1UxkZ27uxq/SFzyMAiC2NawG23Seef74w9mVIpZXTp\noll9dtVt1UdphtpodQ0L+uzUA4/C2CzTf1akYifRZKywLaB0ywSUD/rxnMhHDSkCO8PYk3V4rDB7\nRKWDWgewlpey5LWcwKbIj4qnJJJg15BbW6xq2VIH7DhRS67QOijHgdwJj28tR0ACotSkpJbYw5C6\nSiBnybYcgYQnmxVInXQbBhej7CMZ2MiiFlige2v93n1d9a86R19qBS2oP3WKrgrIHcqWb6w+XjO3\nr5xaJdYShgkAqhNKXTlQSgq6UiRaM+13xR4PH15MkjW+785Oe7SWllhcz1b11a06UgvrN7VUjX7V\nIvoXJV0ZxqmDBrn+oBw6U/py2X4ln6g4Ysc3W6OxGz2cfPf+eCAlpm+Dnz6FrDHMiEMI4cDiycVc\nN07mpmEjQz+ddDJhNDumWTQEDw2h2fywIUcyRuNoPncyUisVPLLO9fq15RLqVvV3IKOrXze4wyki\nZ3SdIVLEji/HohQxPH0pVTBZDtvEKdHvw5AGsDfsLj4ar0B7pPcZZSys4aVYF1/uU3v4wuf4wNCQ\nW1tsdUX/IAgkWCdLfOedpbfBT4cIoJ0eQDmHFN2QmkoAGys1lUCmCoFSUOvEA1KDvjurHthT01p1\n1g1VJ+hFba359ZdO1ZXqXDVF37VcUTcsd1NWsXApgRYTxF6oBkhOG5pHKRM7mZZF0muVxAExNT1X\niw3WA/ajx964vNq2qtGnVavpap2sDpoalGN922LFsotTX3lFGjzYiUVoh5Jo0napoiKJHW4yn1mC\n4EimDoD1p38DqhnqdZsrwyLTkcvGyTgbv8FNRa2TjKBijPvFF0uHHOKa9yHPe/JJ5/QIysKkVSoI\nmjT/ML9a7b6Tjtz6Z7WprmvIgIyONIGNOq9IkJGFuOF+ISiNB7+jrjbTcizgSyCZrJHoPQxJAJOM\n3WF/vllABdojwReKLvbI9PKopL4IpQKvaEWJQXBoyL0tEsMi2yYBw4h5/HG5gXgHdQANcxlEUSy5\nf7mhlFUCmSoESqHsI5la4Kj/ddMON2ypWPfFNVB9dbsO19zVU3TqNl9q7gN21PcT5tX112eX6CwF\n/PijSwSz5BxwgPnGVOFt8fvvc1DNUAJEK5/B9zujJ2spkKweK227mM56e2stuGwn/aGFNFFzBwf4\nda+9yypOfeedhqHP2FopkGfpoGLDZtQvOCCki4zvTgQMYo89XEyG40JuTBBDIJaI2KHpK5lkRu/m\nYmQzJWDI4bnXUexkAxZ7epice6507LHuNdk4wzhC8NBBP5Wmtb/+2lAGsc/Rc2vhwXe4tB0RCqsQ\nd3uZGKchPWAPTfXZyUU5Fk0XYb4JsuJLIA3NALvD/irUHll7H3iggQCkKZ8h9+je3W3UCRCRGhvy\nY4uspTR7Jb6g3JpNWTmBvgI0ACbeIU4ypA6f3S01YifTjaRX95XaRrK+787hC+mYZ7dUm8P31/Dd\nB+iy08YHI7ROubhLUPlBC4XrrnNJ3HIE1wA1PmQrU0nLoc9HqYBeqChbiC/84JtSAPciSVSS87TY\nSBUMIEG1RXzEuPBSQ7e1ltAZI/bQalfvI+2+h7T/AXp7tRMVW7I84tRPPpEeesj9TDXM2mur7FCx\nxI7PTLLo08k/2QAngq/NN3c/Q2hA6kAGsQGN7+0QVutk69x4D18mlktpK6+DquK009wX5BYyWoLK\nc85x4yLpK5RsoaFXD89ff33XiDoAnnHZZcuqNtKQ+8lY4XIsskeZZvuRbALUauXef6IoqFB7hGRg\nn4zqkAbxhvyBUneSAWzek/kDQ/a2SMIG5RmgCePnn5fHWSWB9cQT7mdInUoa214IcEuUokogE8UO\na4Qv+6BJaqki6LtzYRstsNzc+n1C26BNAZ/31FNdTyFilnIld0jQMnmI/Uqm6v4ooxQVdOEyrFT3\nfzSw517wJGupKppR0h1+YnvtsN/cbgKG3OCfUlfNffaZdPfdjkCFP6AaphxRordFboAjgpygvt3X\niScC2WEYUxQ7d9zhHiOjGY9cNk6mFIUeQPSR8ItOrsFxMj3gf/9rGBdMN/0LLpBuusk5Og9uZCZf\n4AjJBuy5Z36OyVDa8IqdZH12WKN9OVamqh02O9z3qNUouzEYWHsh+ghw2Ain29jTkB4IJulf5McG\nG/IHMn5sxjjXxBel1nclEVD4oviFyEcJbMhMJUCSLBxnlZtip5TLPprsu7Oqu39pXk4G/pRTXKIW\nxQaTZMupDPy33xquAVOwUHgY0oPfY6FALOf+Oqh1SH5xn8cP9ik1+Al2nnwaM8b1hE22tyg2vvnG\nCRvgCxj04oe9lCMqmtgBlL2zSaBvDtOjkrGLflqIRyKjyVXjZCSBfuRzIRrRkQE/+GDpooscA4lj\ngJmkj9WVV0pffOGk4owYDpjWw815RBXNNVDORTmWb7QGsINSymgaiiszRz2JWtKQf7BRg6jFF6As\nMOQP+HmSKygU2WyWcm8j4gB6qHFv7L136W/mSxWlVo7FhoVNoW/wnOpGkhL+Ui37SNp35ygX+/uG\nw1RJ0qKAz00SAXKnHKYCcs3wjXyHiE9nwIqhcTKRdQxir1RU4l49lyrJyj3gCT7ECKWq1onHrrs2\n/EwlAMod3+6kVPDTT9LNN7tYlD0ygy/LGWVya2QOFNKbbup+fvppt3lIhPisVLyyGoYfyTokET0K\nsgGlYdRWsoFZYQUVDDg1agZhTVkYmHBBQH/DDQ2ya7Ll6U5MMFQOmuuxA8jiQg5mU46F6sc3+kZF\nZoguIPfISrI++WDckH9QXkO/huZ8oyF7eCUaSSHWPBSzpShLJ855+GH3M1L0+HJ0Q/mWf9CXg80h\nsW0qqo9w2Uc5bSS9vUFcM50OogeiErUcihf8DEnea64pfXKHBvcQUVwzPxDGkD7Y67Df4v4vlSRG\nuuo5lGeQQSh8yklF6QluEgWQw/g9/N/zz5dGzPHrrwqaq0P4kXyhWqXckxlltFRnDiRVTKfAwSaT\n4nEhw0FMfN8BX4YFqZNNmUB4bGSxpK0E9PRYuOyyhsDegwCfMjGO0xBdYgcHkmxEby7KscKqHRoz\nlus4YEN2oG+Ab25P0E3/JkPhgEIKfwBJO3Kknfl8griBjSaBfKmOQWd6F1NE6SNYrv0FSkklABlC\nNrgUSLx0Sz8+/rih7CN+kEi5IOi7c5ZTHBHT33qr2w94G7z6atcSoRTBuUdtBFDOQVAZsicYSqUc\nKx17xE/4OKncSFZsj9JUiJMddnBqGOL/556TbrmluGvj2LGu7xYJDco3Dzyw/EkdUEa3R+ZgqoOv\nl0uWmeTmomGgB40Ow8/LVX8deooQOC22WMPmuFhgExWu94fYwpmQscMZsuEux0ZzhswBaUN2iGyd\nl23noxzLvwZODQeXzesYyhOsr0zBQv663nr56zVmSA42C74ZJ712So1oqMRYhDHofKeR8uOPq2RA\n4ovpoBBQkKyVEOAW27ZKSSWQTuNkjrlc1TrxgJg64ww3sph4lok3KOUhd8jWQ+6goC9F30iClX6f\npTRivlxRagq6dOyR+Jj2CKjNfL/UcgF+JHzuSehSFonYgmQSFSRNVQjkU8F4zTVuP87xHXZYea9z\nYVTIx2gelGPNPbcjMpC0xePTT90Gg4Z3BF3cgNSa57K/Dou0HxtZiN46zQEGGPaajC39di6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93PJFKSjdg15BckD/GphVYJJOvpEYWyj5xiwgSt9OYNOjN2iRbS75qsTnpNmzf8PkV7pLEr5x1F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3XwIHDxs0SlpYZMIXFYHn5sdwYfPNe/hoGwrBvy/KGs8/iyApaekcQ3IpFk4CvJ0I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aNRxTCONXCgG8VCRYfBeRhjMTe/tpaphaprs9pPedhi0UiJwpzcyKWScay33w7ZL8Fyo5Fm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\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": "d3e6fc95"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Best Route"
      ],
      "id": "e66a5cc0-038f-4fe7-8d18-87e82de800c1"
    },
    {
      "cell_type": "code",
      "execution_count": 49,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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kikxqs6vkoAhyxsWZG1N/GCpkmDGjkHi5kC++MImqbdqYGpbCnzMvshVl8BM6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\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\"Best Route - Cost: {best_cost:.2f}\")\n",
        "plt.show()"
      ],
      "id": "f901383c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In this specific instance and for the given problem, **reverse segment**\n",
        "(cost = 386.43) was more effective compared to **swapping neighbors**\n",
        "(cost = 430.03).\n",
        "\n",
        "## Temperature and Cost"
      ],
      "id": "a0026867-fc13-401a-9f1d-1fd92321dc58"
    },
    {
      "cell_type": "code",
      "execution_count": 50,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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ZmypzNh6UYZ0aurs7AADASXr27CnnnXee7N6920yPmjJlijz77LO29jvvvFO2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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(\"Temperature Over Iterations\")\n",
        "plt.xlabel(\"Iteration\")\n",
        "plt.ylabel(\"Temperature\")\n",
        "\n",
        "plt.subplot(1, 2, 2)\n",
        "plt.plot(costs)\n",
        "plt.title(\"Cost Over Iterations\")\n",
        "plt.xlabel(\"Iteration\")\n",
        "plt.ylabel(\"Cost\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "1b0b449c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Selecting a Neighborhood Strategy\n",
        "\n",
        "- **Simple Moves (Swap, Insertion)**: Effective for initial exploration;\n",
        "  risk of local optima entrapment.\n",
        "\n",
        "- **Complex Moves**: Enhance capability to escape local optima and\n",
        "  accelerate convergence; entail higher computational expense.\n",
        "\n",
        "- **Hybrid Approaches**: Integrate diverse strategies for neighborhood\n",
        "  generation. Employ simple moves initially, transitioning to complex\n",
        "  ones as convergence progresses.\n",
        "\n",
        "## Initial Temperature\n",
        "\n",
        "**Influence**: Since the probability of accepting a new state is given\n",
        "by $e^{-\\frac{\\Delta E}{T}}$, the selection of the **initial\n",
        "temperature** is directly influenced by $\\Delta E$ and consequently by\n",
        "the **objective function value for a random state**, $f(s)$.\n",
        "\n",
        "## Initial Temperature\n",
        "\n",
        "- **Example Problems**: Consider two scenarios: problem $a$ with\n",
        "  $f(a) = 1,000$ and problem $b$ with $f(b) = 100$.\n",
        "\n",
        "- **Energy Difference**: Accepting a state that is 10% worse results in\n",
        "  energy differences $\\Delta E = 0.1 \\cdot f(a) = 100$ for problem $a$\n",
        "  and $\\Delta E = 0.1 \\cdot f(b) = 10$ for problem $b$.\n",
        "\n",
        "- **Acceptance Probability**: To accept such state 60% of the time, set\n",
        "  $e^{-\\frac{\\Delta E}{T}} = 0.6$. Solving for $T$ yields initial\n",
        "  temperatures of approximately $T \\approx 195.8$ for problem $a$ and\n",
        "  $T \\approx 19.58$ for problem $b$.\n",
        "\n",
        "## Initial Temperature\n",
        "\n",
        "A **popular approach** is to set the initial temperature so that a\n",
        "**significant portion of moves (often around 60-80%) are accepted**.\n",
        "\n",
        "This can be done by running a preliminary phase where the temperature is\n",
        "adjusted until the acceptance ratio stabilizes within this range.\n",
        "\n",
        "Ben-Ameur (2004) suggests a more rigorous mathematical methodology.\n",
        "\n",
        "## Cooling Strategies\n",
        "\n",
        "In **simulated annealing**, cooling down is essential for managing\n",
        "algorithm convergence. The cooling schedule dictates the rate at which\n",
        "the temperature decreases, affecting the algorithm’s capacity to\n",
        "**escape local optima** and **converge towards a near-optimal\n",
        "solution**.\n",
        "\n",
        "Nourani and Andresen (1998) and Alex et al. (2017)\n",
        "\n",
        "## Linear Cooling\n",
        "\n",
        "- **Description**: The temperature decreases linearly with each\n",
        "  iteration.\n",
        "- **Formula**: $T = T_0 - \\alpha \\cdot k$\n",
        "  - $T_0$: Initial temperature\n",
        "  - $\\alpha$: A constant decrement\n",
        "  - $k$: Current iteration\n",
        "- **Pros**: Simple to implement and understand.\n",
        "- **Cons**: Often leads to **premature convergence** because the\n",
        "  temperature decreases too quickly."
      ],
      "id": "782bc87e-1180-4be8-ba1e-619d33668dc9"
    },
    {
      "cell_type": "code",
      "execution_count": 51,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = initial_temp - alpha * iteration"
      ],
      "id": "412e95d3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Geometric (Exponential) Cooling\n",
        "\n",
        "- **Description**: The temperature decreases exponentially with each\n",
        "  iteration.\n",
        "- **Formula**: $T = T_0 \\cdot \\alpha^k$\n",
        "  - $\\alpha$: Cooling rate, typically between 0.8 and 0.99\n",
        "  - $k$: Current iteration\n",
        "- **Pros**: Widely used due to its simplicity and effectiveness.\n",
        "- **Cons**: The choice of $\\alpha$ is critical; if it’s too small, the\n",
        "  temperature drops too fast, and if it’s too large, convergence can be\n",
        "  slow."
      ],
      "id": "6973029d-54e8-4249-8ec4-2d9ac7b26f1d"
    },
    {
      "cell_type": "code",
      "execution_count": 52,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = initial_temp * (cooling_rate ** iteration)"
      ],
      "id": "47d2a2d9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Logarithmic Cooling\n",
        "\n",
        "- **Description**: The temperature decreases slowly following a\n",
        "  logarithmic function.\n",
        "- **Formula**: $T = \\frac{\\alpha \\cdot T_0}{\\log(1+k)}$\n",
        "  - $\\alpha$: A scaling constant\n",
        "  - $k$: Current iteration\n",
        "- **Pros**: Provides a slower cooling rate, which is useful for problems\n",
        "  that require extensive exploration of the solution space.\n",
        "- **Cons**: Convergence can be very slow, requiring many iterations."
      ],
      "id": "5884d05d-6f16-4c67-82c2-8268b80398d8"
    },
    {
      "cell_type": "code",
      "execution_count": 53,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = alpha * initial_temp / (np.log(1 + iteration))"
      ],
      "id": "387ea40b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Inverse Cooling\n",
        "\n",
        "- **Description**: The temperature decreases as an inverse function of\n",
        "  the iteration number.\n",
        "- **Formula**: $T = \\frac{T_0}{1+\\alpha \\cdot K}$\n",
        "  - $\\alpha$: A scaling constant\n",
        "  - $k$: Current iteration\n",
        "- **Pros**: Allows for a more controlled cooling process, balancing\n",
        "  exploration and exploitation.\n",
        "- **Cons**: May require careful tuning of $\\alpha$ to be effective."
      ],
      "id": "1a65065f-2aaa-43cb-b25a-59c47286f7d8"
    },
    {
      "cell_type": "code",
      "execution_count": 54,
      "metadata": {},
      "outputs": [],
      "source": [
        "temperature = initial_temp / (1 + alpha * iteration)"
      ],
      "id": "016af85a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Adaptive Cooling\n",
        "\n",
        "- **Description**: The cooling schedule is adjusted dynamically based on\n",
        "  the performance of the algorithm.\n",
        "- **Strategy**: If the algorithm is not making significant progress, the\n",
        "  cooling rate may be slowed down. Conversely, if progress is steady,\n",
        "  the cooling rate can be increased.\n",
        "- **Pros**: More flexible and can adapt to the characteristics of the\n",
        "  problem.\n",
        "- **Cons**: More complex to implement and requires careful design to\n",
        "  avoid instability."
      ],
      "id": "7baf629e-0ac9-4334-9ea0-d664cb1c1919"
    },
    {
      "cell_type": "code",
      "execution_count": 55,
      "metadata": {},
      "outputs": [],
      "source": [
        "if no_significant_change_in_cost:\n",
        "    temperature *= 0.99  # Slow down cooling\n",
        "else:\n",
        "    temperature *= 0.95  # Speed up cooling"
      ],
      "id": "31dda890"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Cooling Schedule - Summary"
      ],
      "id": "7912e11d-676b-4cc5-a44a-c68977256ae5"
    },
    {
      "cell_type": "code",
      "execution_count": 56,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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rm6U8MupcOtbKXyLa1AjyV5E8lr+ChPTn+PPPP9XBklFfMrr8999/t33JmtZ7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\nQmCC\n"
          }
        }
      ],
      "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='Exponential Cooling')\n",
        "plt.plot(iterations, linear_temps, label='Linear Cooling')\n",
        "plt.plot(iterations, logarithmic_temps, label='Logarithmic Cooling')\n",
        "plt.plot(iterations, inverse_temps, label='Inverse Cooling')\n",
        "plt.xlabel('Iteration')\n",
        "plt.ylabel('Temperature')\n",
        "plt.title(r'Cooling Strategies ($\\alpha = 0.995$)')\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.show()"
      ],
      "id": "5b6dbdc0"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "**See also**: [Effective Simulated Annealing with\n",
        "Python](https://nathanrooy.github.io/posts/2020-05-14/simulated-annealing-with-python/)\n",
        "by Nathan A. Rooy.\n",
        "\n",
        "## Choosing the Right Cooling Schedule\n",
        "\n",
        "- **Problem-Specific**: The choice of cooling schedule often depends on\n",
        "  the characteristics of the problem being solved. Some problems benefit\n",
        "  from a slower cooling rate, while others may need faster convergence.\n",
        "\n",
        "- **Experimentation**: It’s common to experiment with different\n",
        "  strategies and parameters to find the best balance between exploration\n",
        "  (searching broadly) and exploitation (refining the current best\n",
        "  solutions).\n",
        "\n",
        "## Conclusion\n",
        "\n",
        "After applying **simulated annealing**, a **local search** method such\n",
        "as **hill climbing** can be used to **refine the solution**.\n",
        "\n",
        ". . .\n",
        "\n",
        "**Simulated annealing** is effective for exploring the solution space\n",
        "and **avoiding local minima**, while **local search** focuses on the\n",
        "**exploration of neighboring solutions**.\n",
        "\n",
        "## Simulated Annealing Visualization\n",
        "\n",
        "<https://youtu.be/NPE3zncXA5s?si=Z9rk2Kt_5pN8ChlA>\n",
        "\n",
        "**Attribution:**\n",
        "[ComputationalScientist](https://www.youtube.com/@computationalscientist6368),\n",
        "Posted on 2018-01-06.\n",
        "\n",
        "# Prologue\n",
        "\n",
        "## Summary\n",
        "\n",
        "- Local search algorithms focus on finding goal states by moving between\n",
        "  neighboring states without tracking paths.\n",
        "- The hill-climbing algorithm seeks the highest-valued neighbor but can\n",
        "  get stuck in local maxima or plateaus.\n",
        "- Effective state representation, such as using permutations in the\n",
        "  8-Queens problem, avoids illegal placements and improves performance.\n",
        "- Simulated annealing allows occasional uphill moves to escape local\n",
        "  optima, controlled by a decreasing temperature parameter.\n",
        "- The acceptance probability in simulated annealing decreases as\n",
        "  temperature lowers and energy difference increases.\n",
        "- Simulated annealing effectively solves complex problems like the\n",
        "  Travelling Salesman Problem by probabilistically exploring the\n",
        "  solution space.\n",
        "\n",
        "## Further Readings\n",
        "\n",
        "![](https://media.springernature.com/full/springer-static/cover-hires/book/978-3-319-91086-4?as=webp.png)\n",
        "\n",
        "“The overall SA \\[simulated annealing\\] methodology is then deployed in\n",
        "detail on a real-life application: a **large-scale aircraft trajectory\n",
        "planning problem involving nearly 30,000 flights** at the European\n",
        "continental scale.”\n",
        "\n",
        "(Gendreau and Potvin 2019, chap. 1)\n",
        "\n",
        "Gendreau and Potvin (2019), [access via Springer\n",
        "Link](https://link.springer.com/book/10.1007/978-3-319-91086-4).\n",
        "\n",
        "Did you know that you can freely access the entire collection of books\n",
        "from Springer? By using a device connected to a uOttawa IP address and\n",
        "visiting [Springer Link](https://link.springer.com), you have the\n",
        "ability to download books in either PDF or EPUB format.\n",
        "\n",
        "The book is co-edited by [Jean-Yves\n",
        "Potvin](https://recherche.umontreal.ca/english/our-researchers/professors-directory/researcher/is/in14464/)\n",
        "and [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",
        "serves as a professor at the Université de Montréal, while [Michel\n",
        "Gendreau](https://www.polymtl.ca/expertises/en/gendreau-michel) holds a\n",
        "professorship at École Polytechnique de Montréal.\n",
        "\n",
        "## Next lecture\n",
        "\n",
        "- We will discuss population-based algorithms.\n",
        "\n",
        "## References\n",
        "\n",
        "Aarts, E. H. L., and 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",
        "and Optimization. Wiley.\n",
        "\n",
        "Alex, Kwaku Peprah, Kojo Appiah Simon, and Kwame Amponsah Samuel. 2017.\n",
        "“<span class=\"nocase\">An Optimal Cooling Schedule Using a Simulated\n",
        "Annealing Based Approach</span>.” *Applied Mathematics* 08 (08):\n",
        "1195–210. <https://doi.org/10.4236/am.2017.88090>.\n",
        "\n",
        "Bellman, Richard. 1962. “<span class=\"nocase\">Dynamic Programming\n",
        "Treatment of the Travelling Salesman Problem</span>.” *Journal of the\n",
        "ACM (JACM)* 9 (1): 61–63. <https://doi.org/10.1145/321105.321111>.\n",
        "\n",
        "Ben-Ameur, Walid. 2004. “<span class=\"nocase\">Computing the Initial\n",
        "Temperature of Simulated Annealing</span>.” *Computational Optimization\n",
        "and Applications* 29 (3): 369–85.\n",
        "<https://doi.org/10.1023/b:coap.0000044187.23143.bd>.\n",
        "\n",
        "Gendreau, M., and 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, and Richard M. Karp. 1962. “A Dynamic Programming\n",
        "Approach to Sequencing Problems.” *Journal of the Society for Industrial\n",
        "and Applied Mathematics* 10 (1): 196–210.\n",
        "<https://doi.org/10.1137/0110015>.\n",
        "\n",
        "Laarhoven, P. J. M., and E. H. L. Aarts. 1987. *Simulated Annealing:\n",
        "Theory and Applications*. Kluwer Academic Publishers.\n",
        "\n",
        "Nourani, Yaghout, and 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, and Peter Norvig. 2020. *Artificial Intelligence: A\n",
        "Modern Approach*. 4th ed. Pearson. <http://aima.cs.berkeley.edu/>.\n",
        "\n",
        "------------------------------------------------------------------------\n",
        "\n",
        "Marcel **Turcotte**\n",
        "\n",
        "<Marcel.Turcotte@uOttawa.ca>\n",
        "\n",
        "School of Electrical Engineering and **Computer Science** (EE**CS**)\n",
        "\n",
        "University of Ottawa"
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