explore.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "4c71d7b645805303",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "# COMP90072 Project: Abelian Sand-pile Model "
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Imports and Defining Utility Functions"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "5fc89926924d34f2"
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "initial_id",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:55:51.271908300Z",
     "start_time": "2023-11-12T11:55:44.757315100Z"
    }
   },
   "outputs": [],
   "source": [
    "from collections import Counter\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from matplotlib.figure import Figure\n",
    "from matplotlib.axes import Axes\n",
    "\n",
    "import sow\n",
    "\n",
    "# Some initialisations and type hints.\n",
    "np.random.seed(90072)\n",
    "fig: Figure\n",
    "ax: Axes | list[Axes]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b71bf6a22ffa670",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## The Grid Model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f57295d63b68140f",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Toppling Check"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "101a52ddfb4e08f5",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:55:52.312725200Z",
     "start_time": "2023-11-12T11:55:51.285911700Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make a grid graph and create the model.\n",
    "graph, boundary = sow.make_grid_graph(5, 5)\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "\n",
    "# We drop at sand at the same spot to check the model. Notice that the middle \n",
    "# point is floor of half the vertex count, by design.\n",
    "model.manager = sow.ConstantDropper(graph.vcount() // 2)\n",
    "\n",
    "def grid_visualiser(context: sow.SimulationContext):\n",
    "    \"\"\" Creates a custom grid visualiser.\n",
    "    \n",
    "    :param context: The simulation context.\n",
    "    :return: Figure and axes object generated by matplotlib.\n",
    "    \"\"\"\n",
    "    return sow.visualise_grid(\n",
    "        5, 5, context.model.height, max_height=context.model.topple_limit, \n",
    "        xticks=\"auto\", yticks=\"auto\", labels=\"auto\")\n",
    "\n",
    "# Create the listeners. \n",
    "image_maker = sow.ImageMaker(visualiser=grid_visualiser)\n",
    "video_maker = sow.MovieMaker(max_frame=model.t_lim)\n",
    "\n",
    "model.add_listener([\n",
    "    image_maker\n",
    "])\n",
    "\n",
    "# Run the simulation.\n",
    "_ = model.simulate(6)\n",
    "\n",
    "# View the images.\n",
    "for x in image_maker.images[:5]:\n",
    "    x[0].show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccfc197a3241f5eb",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Pattern at Scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "46fe350aa9f135b2",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:23.703473800Z",
     "start_time": "2023-11-12T11:55:52.272887800Z"
    }
   },
   "outputs": [],
   "source": [
    "# Make a grid graph and create the model.\n",
    "graph, boundary = sow.make_grid_graph(99, 99)\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "\n",
    "# We drop at sand at the same spot to check the model. Notice that the middle \n",
    "# point is floor of half the vertex count, by design.\n",
    "model.manager = sow.ConstantDropper(graph.vcount() // 2)\n",
    "\n",
    "# No more listeners since they will slow it down. We are only interested in the \n",
    "# final image anyway, at this stage.\n",
    "model.simulate(10_000_000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e9e81f8685e2a73c",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:23.956558400Z",
     "start_time": "2023-11-12T11:56:23.715005200Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "_, _ = model.visualise_grid(99, 99, fig=fig, ax=ax)\n",
    "ax.set_title(\"Grid of the Sand Pile after 100M Iterations\")\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\")\n",
    "fig.show()\n",
    "fig.savefig(\"out/grid.jpg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d078e3919663646",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Mean Height Investigation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "670be6260943ce82",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:25.279452300Z",
     "start_time": "2023-11-12T11:56:23.964031400Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The mean value is 2.0541\n",
      "The sample variance is 0.0004\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 1000x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def mean_height_investigation(model, model_name):\n",
    "    \"\"\" A helper function to investigate mean height. \"\"\"\n",
    "    # Add the mean collector listener.\n",
    "    mean_collector = sow.StatisticsCollector(sow.ContextTransformer.mean_height)\n",
    "    model.add_listener([mean_collector])\n",
    "    \n",
    "    # Conduct the simulation.\n",
    "    model.simulate(20_000)\n",
    "    mean_height = mean_collector.value_history\n",
    "    \n",
    "    # Initialise the plots.\n",
    "    fig, ax = plt.subplots(ncols=2)\n",
    "    \n",
    "    # Plots the result as a graph.\n",
    "    ax[0].scatter(np.arange(0, len(mean_height)), mean_height, s=2)\n",
    "    ax[0].set_title(\"Mean Height over Time\")\n",
    "    ax[0].set_xlabel(\"t\")\n",
    "    ax[0].set_ylabel(\"height\")\n",
    "    \n",
    "    # Let us focus on the flat tail.\n",
    "    ax[1].scatter(np.arange(0, len(mean_height))[10_000:], mean_height[10_000:], \n",
    "                  s=5)\n",
    "    ax[1].hlines(np.mean(mean_height[10_000:]), 10_000, len(mean_height), \n",
    "                 color=\"r\")\n",
    "    ax[1].set_title(\"Mean Height over Time (Truncated)\")\n",
    "    ax[1].set_xlabel(\"t\")\n",
    "    ax[1].set_ylabel(\"height\")\n",
    "    \n",
    "    # Display the figure\n",
    "    fig.set_figwidth(10)\n",
    "    fig.show()\n",
    "    fig.savefig(f\"out/{model_name}_mean_height.jpg\")\n",
    "    \n",
    "    # Prints the mean and variance of the truncated plot.\n",
    "    print(f\"The mean value is {np.mean(mean_height[10_000:]):.4f}\")\n",
    "    print(f\"The sample variance is {np.var(mean_height[10_000:]):.4f}\")\n",
    "\n",
    "# Make a grid graph and create the model.\n",
    "graph, boundary = sow.make_grid_graph(21, 21)\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "mean_height_investigation(model, \"grid\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f805372a4ee55a7",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Avalanche Statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "77597d37b035e0e4",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:28.379543900Z",
     "start_time": "2023-11-12T11:56:25.199583500Z"
    }
   },
   "outputs": [],
   "source": [
    "def compute_avalanche_statistics(model):\n",
    "    \"\"\" A helper function to compute avalanche statistics. \"\"\"\n",
    "    # Add the mean collector listener.\n",
    "    topple_occurrence_collector = sow.StatisticsCollector(\n",
    "        sow.ContextTransformer.topple_occurrence\n",
    "    )\n",
    "    loss_collector = sow.StatisticsCollector(\n",
    "        sow.ContextTransformer.sand_loss\n",
    "    )\n",
    "    drop_location_collector = sow.StatisticsCollector(\n",
    "        sow.ContextTransformer.drop_location\n",
    "    )\n",
    "    model.add_listener([\n",
    "        topple_occurrence_collector, loss_collector, drop_location_collector\n",
    "    ])\n",
    "    \n",
    "    # No more listeners since they will slow it down. We are only interested in the \n",
    "    # final image anyway, at this stage.\n",
    "    model.simulate(1_000_000)\n",
    "    return sow.avalanche_statistics(\n",
    "        topple_occurrence_collector.value_history, \n",
    "        loss_collector.value_history, \n",
    "        drop_location_collector.value_history\n",
    "    )\n",
    "\n",
    "# Make a grid graph and create the model.\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "duration, loss, area = compute_avalanche_statistics(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e1bd610da730e9d",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Avalanche Sand Loss Distribution and Area Distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d09cff9aee46bae0",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:29.115079200Z",
     "start_time": "2023-11-12T11:56:28.379543900Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def duration_area_juxtaposition(duration, area, name):\n",
    "    \"\"\" A helper function to plot duration and area histograms. \"\"\"\n",
    "    fig, ax = plt.subplots(ncols=2)\n",
    "    \n",
    "    # Plots the avalanche sand loss.\n",
    "    ax[0].hist(duration)\n",
    "    ax[0].set_title(\"Distribution of Duration in an Avalanche\")\n",
    "    ax[0].set_xlabel(\"Time span\")\n",
    "    ax[0].set_ylabel(\"Frequency\")\n",
    "    \n",
    "    # Plots the area covered by an avalanche.\n",
    "    ax[1].hist(area)\n",
    "    ax[1].set_title(\"Number of Nodes Affected in an Avalanche\")\n",
    "    ax[1].set_xlabel(\"Number of Nodes Affected\")\n",
    "    ax[1].set_ylabel(\"Frequency\")\n",
    "    \n",
    "    # Display and save the figure.\n",
    "    fig.set_figwidth(9.8)\n",
    "    fig.show()\n",
    "    fig.tight_layout(pad=1)\n",
    "    fig.savefig(f\"out/{name}_avalanche.jpg\")\n",
    "\n",
    "duration_area_juxtaposition(duration, area, \"grid\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f18c52af467a45b",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Fitting the Distributions and Truncating the Tails"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bee0995015f8946",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:29.621545500Z",
     "start_time": "2023-11-12T11:56:29.115079200Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.860\n",
      "Model:                            OLS   Adj. R-squared:                  0.860\n",
      "Method:                 Least Squares   F-statistic:                     2969.\n",
      "Date:                Sun, 12 Nov 2023   Prob (F-statistic):          3.58e-208\n",
      "Time:                        22:56:29   Log-Likelihood:                 579.62\n",
      "No. Observations:                 484   AIC:                            -1155.\n",
      "Df Residuals:                     482   BIC:                            -1147.\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -1.0487      0.018    -59.646      0.000      -1.083      -1.014\n",
      "x1             0.1801      0.003     54.491      0.000       0.174       0.187\n",
      "==============================================================================\n",
      "Omnibus:                      479.578   Durbin-Watson:                   0.050\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):            27532.552\n",
      "Skew:                          -4.200   Prob(JB):                         0.00\n",
      "Kurtosis:                      38.982   Cond. No.                         29.1\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def edf_transform(realisations: list[float]):\n",
    "    \"\"\" Computes the empirical distribution function from observations.\n",
    "\n",
    "    :param realisations: i.i.d. observations of an arbitrary distribution.\n",
    "    :return: The empirical distribution function given by x and y values.\n",
    "    \"\"\"\n",
    "    counts = Counter(realisations)\n",
    "    pmf = sorted([(x, y / sum(counts.values())) for x, y in counts.items()])\n",
    "    edf_x, pmf_y = zip(*pmf)\n",
    "    edf_y = np.cumsum(pmf_y)\n",
    "    return np.array(edf_x), edf_y\n",
    "\n",
    "def fit_heavy_tail(realisations: list[int | float], model_name: str, \n",
    "                   stat_name: str):\n",
    "    \"\"\" A helper function for fitting a heavy-tail distribution. \"\"\"\n",
    "    # Compute the original empirical distribution function.\n",
    "    fig, ax = plt.subplots(ncols=2)\n",
    "    edf_x, edf_y = edf_transform(realisations)\n",
    "    \n",
    "    # Make a plot of the distribution.\n",
    "    ax[0].scatter(edf_x, edf_y, s=5)\n",
    "    ax[0].set_title(f\"Avalanche {stat_name.title()} Empirical Distribution\")\n",
    "    ax[0].set_xlabel(\"edf_x\")\n",
    "    ax[0].set_ylabel(\"probabilities\")\n",
    "\n",
    "    # Fitting the tail of the distribution. \n",
    "    # For robustness, we fit the empirical distribution function.\n",
    "    edf_x_fit = np.log(edf_x)\n",
    "    edf_y_fit = np.log(edf_y)\n",
    "    \n",
    "    # Fit the linear model using ordinary least squares.\n",
    "    # Yep, I know this is weird, but the right order as per the package doc.\n",
    "    stats_model = sm.OLS(edf_y_fit, sm.add_constant(edf_x_fit))\n",
    "    result = stats_model.fit()\n",
    "    print(result.summary())\n",
    "\n",
    "    # Make a plot of the fit.\n",
    "    ax[1].scatter(edf_x_fit, edf_y_fit, s=5)\n",
    "    ax[1].plot(edf_x_fit, result.fittedvalues, color=\"r\", linestyle=\"-\", \n",
    "               linewidth=1.5)\n",
    "    ax[1].set_title(f\"Transformed Avalanche {stat_name.title()} Distribution\")\n",
    "    ax[1].set_xlabel(\"log(edf_x)\")\n",
    "    ax[1].set_ylabel(\"log(probabilities)\")\n",
    "    \n",
    "    # Display the result.\n",
    "    fig.set_figwidth(9.8)\n",
    "    fig.tight_layout(pad=1)\n",
    "    fig.show()\n",
    "    fig.savefig(f\"out/{model_name}_avalanche_{stat_name}.jpg\")\n",
    "\n",
    "fit_heavy_tail(duration, \"grid\", \"duration\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "12283662117b6f36",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:30.168991600Z",
     "start_time": "2023-11-12T11:56:29.621545500Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.920\n",
      "Model:                            OLS   Adj. R-squared:                  0.920\n",
      "Method:                 Least Squares   F-statistic:                     3814.\n",
      "Date:                Sun, 12 Nov 2023   Prob (F-statistic):          2.24e-183\n",
      "Time:                        22:56:29   Log-Likelihood:                 445.92\n",
      "No. Observations:                 332   AIC:                            -887.8\n",
      "Df Residuals:                     330   BIC:                            -880.2\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -1.2073      0.018    -68.502      0.000      -1.242      -1.173\n",
      "x1             0.2214      0.004     61.754      0.000       0.214       0.228\n",
      "==============================================================================\n",
      "Omnibus:                      348.186   Durbin-Watson:                   0.079\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):            19653.080\n",
      "Skew:                          -4.337   Prob(JB):                         0.00\n",
      "Kurtosis:                      39.681   Cond. No.                         25.9\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_heavy_tail(area, \"grid\", \"area\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89d91b23afe4e947",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## The Tree"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f15ba989d3a263b9",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Pattern at Scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "89f6e8ebfad6734b",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:30.324518500Z",
     "start_time": "2023-11-12T11:56:30.172991300Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make a graph and create a visualisation.\n",
    "graph, boundary = sow.make_interesting_tree(3, 2)\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "model.manager = sow.ConstantDropper(0)\n",
    "model.simulate(63)\n",
    "fig, ax = model.visualise_graph()\n",
    "\n",
    "# Display and save the figure.\n",
    "ax.set_title(\"The Tree of Interest (n=3, d=2)\")\n",
    "fig.show()\n",
    "fig.savefig(\"out/tree.jpg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4302ffc673e71d31",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Mean Height"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7a764f589b194385",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:31.580547400Z",
     "start_time": "2023-11-12T11:56:30.306978700Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The mean value is 1.7328\n",
      "The sample variance is 0.0014\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 1000x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph, boundary = sow.make_interesting_tree(3, 4)\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "mean_height_investigation(model, \"tree\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfa5fedfb73ecd94",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Avalanche Statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6996ea5a755c50e7",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:34.853961800Z",
     "start_time": "2023-11-12T11:56:31.580547400Z"
    }
   },
   "outputs": [],
   "source": [
    "# Make a grid graph and create the model.\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "duration, _, area = compute_avalanche_statistics(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Duration and Area"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "ea52de90d99a02dc"
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fd4c52461f04ac59",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:36.140681800Z",
     "start_time": "2023-11-12T11:56:34.853961800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "duration_area_juxtaposition(duration, area, \"tree\")"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Duration Empirical Distribution"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "8628a6a651e2ce77"
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.660\n",
      "Model:                            OLS   Adj. R-squared:                  0.651\n",
      "Method:                 Least Squares   F-statistic:                     75.70\n",
      "Date:                Sun, 12 Nov 2023   Prob (F-statistic):           1.13e-10\n",
      "Time:                        22:56:36   Log-Likelihood:                 51.542\n",
      "No. Observations:                  41   AIC:                            -99.08\n",
      "Df Residuals:                      39   BIC:                            -95.66\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.3502      0.037     -9.472      0.000      -0.425      -0.275\n",
      "x1             0.1102      0.013      8.701      0.000       0.085       0.136\n",
      "==============================================================================\n",
      "Omnibus:                       35.799   Durbin-Watson:                   0.328\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              122.646\n",
      "Skew:                          -2.040   Prob(JB):                     2.33e-27\n",
      "Kurtosis:                      10.426   Cond. No.                         10.8\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_heavy_tail(duration, \"tree\", \"duration\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:36.670999100Z",
     "start_time": "2023-11-12T11:56:36.140681800Z"
    }
   },
   "id": "b93f573fd3458a9d"
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Area Empirical Distribution"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "3c42ced9b4637d8"
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5103f0592c680c2b",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:37.188506900Z",
     "start_time": "2023-11-12T11:56:36.670999100Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.657\n",
      "Model:                            OLS   Adj. R-squared:                  0.648\n",
      "Method:                 Least Squares   F-statistic:                     74.60\n",
      "Date:                Sun, 12 Nov 2023   Prob (F-statistic):           1.37e-10\n",
      "Time:                        22:56:36   Log-Likelihood:                 51.343\n",
      "No. Observations:                  41   AIC:                            -98.69\n",
      "Df Residuals:                      39   BIC:                            -95.26\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.3486      0.037     -9.404      0.000      -0.424      -0.274\n",
      "x1             0.1095      0.013      8.637      0.000       0.084       0.135\n",
      "==============================================================================\n",
      "Omnibus:                       35.930   Durbin-Watson:                   0.326\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              123.191\n",
      "Skew:                          -2.050   Prob(JB):                     1.78e-27\n",
      "Kurtosis:                      10.436   Cond. No.                         10.8\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_heavy_tail(area, \"tree\", \"area\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "475b0e60cb480f05",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## The Punctured Donut Graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5bf894f8f2cc1ecf",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:38.379466500Z",
     "start_time": "2023-11-12T11:56:37.188506900Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The mean value is 2.1177\n",
      "The sample variance is 0.0001\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 1000x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Make a graph and create the model.\n",
    "graph, boundary = sow.make_punctured_donut_graph(21, 21)\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "mean_height_investigation(model, \"donut\")"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Avalanche Statistics"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "bf9c67e4a4b31f6f"
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f82ab31bb5650e6b",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:41.435790700Z",
     "start_time": "2023-11-12T11:56:38.348157800Z"
    }
   },
   "outputs": [],
   "source": [
    "# Make a grid graph and create the model.\n",
    "model = sow.Model(graph=graph, boundary_vertices=boundary)\n",
    "duration, _, area = compute_avalanche_statistics(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Duration and Area"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "dc32c709b3f95082"
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "bd67a634d8e8d8a",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:41.869874700Z",
     "start_time": "2023-11-12T11:56:41.438583Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "duration_area_juxtaposition(duration, area, \"donut\")"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Duration Empirical Distribution"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "60b6fb99aa94666e"
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "f015b65c6b58d86a",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:42.333788300Z",
     "start_time": "2023-11-12T11:56:41.869874700Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.962\n",
      "Model:                            OLS   Adj. R-squared:                  0.962\n",
      "Method:                 Least Squares   F-statistic:                 1.920e+04\n",
      "Date:                Sun, 12 Nov 2023   Prob (F-statistic):               0.00\n",
      "Time:                        22:56:41   Log-Likelihood:                 1257.4\n",
      "No. Observations:                 769   AIC:                            -2511.\n",
      "Df Residuals:                     767   BIC:                            -2502.\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -1.3396      0.008   -172.284      0.000      -1.355      -1.324\n",
      "x1             0.1653      0.001    138.574      0.000       0.163       0.168\n",
      "==============================================================================\n",
      "Omnibus:                     1189.630   Durbin-Watson:                   0.079\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):           505135.757\n",
      "Skew:                          -8.921   Prob(JB):                         0.00\n",
      "Kurtosis:                     127.284   Cond. No.                         30.4\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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OcHV1pXPnzowdO5bdu3fz9NNPJ+s4jt6LiTmvL7zwAqdPn+a7775j5syZFChQAICCBQs6fJwbN25Qv3597t27x8CBA8mfPz9fffUV7dq1Y+XKlbb3Z4wPP/wQFxcX3n77bYKDg5k2bRqvvvpqiscWef3113n33XfZuHEjPXv2dLjN33//zTPPPMMTTzzBxIkT8fDwICAggD179gDWe8CJEycybtw4evXqRaNGjQCoX7++7RjxfW/FZ/LkyZhMJkaMGME///zDrFmz8Pf359ixY0n6bCYmtgcZhkG7du3Ytm0b3bt3p1q1amzYsIF33nmHK1eu2O4LYuzevZtVq1bRr18/8uTJw5w5c+jQoQMXL14kf/78iY4zVRniVIcPHzYAY9OmTYZhGEZ0dLRRokQJY9CgQbZtNmzYYADG2rVr7fZ96qmnjDJlytiWzWazERkZabfNnTt3jMKFCxtvvvmmXTlgvPfee7ble/fuxYlt3759BmB8/fXXtrIvv/zSAAx/f38jOjraVj5kyBDD1dXVCAoKMgzDMIKCgow8efIYderUMcLDw+2O++B+TZo0ifMYkZGRRpEiRYwOHTrYypYuXWq4uLgYu3btsjvWggULDMDYs2dPnPgf1KVLFyNXrlzxrv/tt98MwBgyZIitLPY5ilGqVCmjS5cutuWYc9KwYUPDbDbbbZvY8/rDDz8YgLFt27Y42zdp0sRo0qSJbXnWrFkGYHzzzTe2sqioKKNevXpG7ty5jZCQEMMwDCMwMNAAjPz58xu3b9+2bfvzzz87fD/Ftm3bNgOI9+/atWu2bQHDw8PDCAwMtJUtXLjQAIwiRYrYYjIMwxg1apQB2G0b8z74+OOPbWWRkZFGtWrVjEKFChlRUVF2z+nLL7+0bdelSxcDMEaOHBnnOXTp0sUoVaqUbXnr1q0GYAwcODDOtg++Lx29bq1bt7b7vMXE/eBrE59SpUoZTz/9dLzrZ86caQDGzz//bCuL/f7z8fEx3nrrrQQf5+mnn7Z7vjFiXssyZcrEeW4x6x587yX29Yh57z/4WsZ3zPhic/SaxjzOrVu3bGW///674eLiYrzxxhu2svfee88A4ny/Pf/880b+/PnjPJbIW2+9ZcS+9Yl5vy9YsCDO9o6+C3r37m3kzJnTiIiIiHOMh13LnnvuOeOxxx5LMMaYz88PP/xgV57Uz0Xnzp3jHLtUqVIGYOzdu9dWFnOP4eXlZVy4cMFWHvMd/uDnuEWLFkaVKlXsnnt0dLRRv359o3z58raywYMHG4Bx4MABW9k///xj+Pj4OPzOcGTlypUGYJw5c8YwDMMICQkxPD09jZkzZ8aJ8c8//7Tbt3Llykbz5s1tyxEREYbFYrHbJjAw0PDw8DAmTpxoVxb7+8jRe+C7774zAGPnzp22ssR+H505c8ZwcXExnn/++TgxPXgdinmtHnyMf/75x/Dw8DCGDRtmK5s0aZKRK1cu4/Tp03bHGjlypOHq6mpcvHgxTvwPatKkSYLvyZ9++skAjNmzZxuG4fgcxYh93UrovZjY8zp9+vR43zOx78di3ncP3iuGhoYapUuXNvz8/GznO+YzVqlSJbv75tmzZzt8P8UWc+07dOhQvNv4+PgY1atXty3HnIsYMdf9f//9N95jHDp0KN5zndD3Vux7k5jnW7x4cbv7sRUrVti9toYR95zGd8yEYot977V69WoDMN5//3277V588UXDZDIZAQEBtjLAcHd3tyv7/fffDcCYO3dunMdKL2qS7WTLli2jcOHCNGvWDMA2EuT3339va/LVvHlzChQoYFd7e+fOHTZt2mQ3aqSrq6utxig6Oprbt29jNpupWbOmrdlmfB78Zen+/fvcunWLcuXK4evr63DfXr162f2q2qhRIywWCxcuXACsvxyGhoYycuTIOP0TY/8amzt3bru+M+7u7tSuXZtz587Zyn744QcqVapExYoVuXnzpu2vefPmAIlqdp6QmNqulIxs2LNnT1xdXe3KknpeE2PdunUUKVKEzp0728py5MjBwIEDCQsLY8eOHXbbd+rUibx589qWY34JfPD8JmTcuHFs2rQpzl++fPnstmvRooVdDUfMiO8dOnSwG6Qlpjz247u5udG7d2/bsru7O7179+aff/7hyJEjD43zwf6/8fnxxx8xmUwOxwh48H354OsWHBzMzZs3adKkCefOnbM1S0tNiXn/+fr6cuDAAa5evZrsx+nSpUuif0VO6euRXNeuXePYsWN07drV7j32xBNP0LJlS9atWxdnnz59+tgtN2rUiFu3bhESEpJmcUrW4uHh4bDr04Ofl5jWNo0aNeLevXucPHnSbtvEXMt8fX25fPlykrvFpMbnIkblypXtBm2M+U5u3rw5jzzySJzymPhv377N1q1b6dixo+1c3Lx5k1u3btG6dWvOnDnDlStXAOt1qm7dutSuXdt2vIIFC9q6yyTGsmXLqFmzpm0Q1Dx58vD000/bNct+4YUXcHNzs7s/+uuvvzh+/Ljd/ZGHh4etltxisXDr1i1bE9ik3B9FRERw8+ZN6tatC+Bw34d9H61evZro6GjGjRsXZ8Cq2PdHlStXtl2zwXoOK1SoEOf+qFGjRuTNm9fu/sjf3x+LxcLOnTsTfH4Pkxr3R47ei0k9r4mxbt06ateubWv2Ddb4e/Xqxfnz5zl+/Ljd9t26dbNraZXU+6OE5M6d+6HXdLB2+0hu0/n4vrfi88Ybb9jdj7344osULVrU4fdHalq3bh2urq4MHDjQrnzYsGEYhsGvv/5qV+7v70/ZsmVty0888QTe3t6p8roklxJmJ7JYLHz//fc0a9aMwMBAAgICCAgIoE6dOty4cYMtW7YA1hvXDh068PPPP9v6665atYr79+/HmWbhq6++4oknnsDT05P8+fNTsGBBfvnll4fe5IeHhzNu3Dhb34ICBQpQsGBBgoKCHO774EUVsCVkd+7cAayjfAKJmsu1RIkScS4SefPmtR0L4MyZM/z9998ULFjQ7i+m+XTMICnJFRYWBpCi0TdLly4dpyyp5zUxLly4QPny5eNcaGOacMf8aBHjYa/Vw1SpUgV/f/84f7Gb88Z+HB8fHwBKlizpsDz24xcrVizOQCAxr+/Dpttyc3Oz9RtPyNmzZylWrFicZD+2PXv24O/vb+snWLBgQVvfoLRImBPz/ps2bRp//fUXJUuWpHbt2owfPz7JFw9H79H4pOT1SImY92+FChXirKtUqRI3b960dXmIkdL3uEjx4sUddlH4+++/ef755/Hx8cHb25uCBQvakuLY3wWJuZaNGDGC3LlzU7t2bcqXL89bb71la4KZkOR8LuL7vCf3uzogIADDMBg7dmyca3HMj5Ax1+KY61RsjuJ3JCgoiHXr1tGkSRPbvVFAQAANGjTg8OHDtvFGChQoQIsWLVixYoVt3+XLl+Pm5sYLL7xgK4uOjrYNrvjgtfiPP/546Hf67du3GTRoEIULF8bLy4uCBQvazm1y749cXFyoXLnyQ89D7GPFHC/2/dH69evjvCb+/v5Axr0/Sup5TYwLFy7E+xmJWf+gtLx2hIWFJXjOOnXqRIMGDejRoweFCxfm5ZdfZsWKFUlKnuP73opP7M+kyWSiXLlyaT6l6YULFyhWrFic85HY1wXivu/Tm/owO9HWrVu5du0a33//vcM5bZctW2bry/Lyyy+zcOFCfv31V9q3b8+KFSuoWLEiVatWtW3/zTff0LVrV9q3b88777xDoUKFcHV1ZcqUKbYENj4DBgzgyy+/ZPDgwdSrVw8fHx9MJhMvv/yyww9v7JrUGEaszvuJkZhjRUdHU6VKlThT78SIfaFPqr/++gsgUdN5xR7sJYajmruknte0kJqvVXIeJz0e/8Hag5Q6e/YsLVq0oGLFisyYMYOSJUvi7u7OunXrmDlzZpq8bol5/3Xs2JFGjRrx008/sXHjRqZPn87UqVNZtWqVrX/kwySlj1JixE4OYsT3GUkr6fUel6zL0WcjKCiIJk2a4O3tzcSJEylbtiyenp4cPXqUESNGxPkuSMz7sFKlSpw6dYr//e9/rF+/nh9//JFPP/2UcePGORy8KrWfU0JxPiz+mOf79ttv07p1a4fbptaUmD/88AORkZF8/PHHfPzxx3HWL1u2zHa+Xn75Zbp168axY8eoVq0aK1asoEWLFrb+rgAffPABY8eO5c0332TSpEnky5cPFxcXBg8e/NDv9I4dO7J3717eeecdqlWrRu7cuYmOjqZNmzYZ5v6oZcuWDB8+3OG2yR2XJUbs61NyvvcdvReTel7TQlpdOy5fvkxwcHCCnwcvLy927tzJtm3b+OWXX1i/fj3Lly+nefPmbNy4Md7YYh8jtSX0+iYmptSQEa/pSpidaNmyZRQqVIh58+bFWbdq1Sp++uknFixYgJeXF40bN6Zo0aIsX76chg0bsnXrVkaPHm23z8qVKylTpgyrVq2ye8MnZoqqlStX0qVLF7sLU0RERLInio9pSvHXX3+lygW0bNmy/P7777Ro0SLeD3NKLF26FJPJRMuWLW1lefPmjfP8o6KiuHbtWqKPm9jzmpTnVKpUKf744w+io6PtksSY5oGlSpVK9LEykqtXr8aZbiKmFiH2YDbJVbZsWTZs2MDt27fjrWVeu3YtkZGRrFmzxu5XzpQ2+49PWFgYP/30EyVLlnzoXLBFixalX79+9OvXj3/++Ycnn3ySyZMn2xLm1PxsJOb1iPk1Pvb7OfavxUmJLeb9e+rUqTjrTp48SYECBTLl9DiS+Wzfvp1bt26xatUqGjdubCsPDAxM0XFz5cpFp06d6NSpE1FRUbzwwgtMnjyZUaNGxTvFWkb4XJQpUwawdgGKqb2MT6lSpThz5kycckfxO7Js2TIef/xxh/cvCxcu5Ntvv7UlzO3bt6d37962ZtmnT59m1KhRdvusXLmSZs2asXjxYrvyoKAgu8Q6tjt37rBlyxYmTJjAuHHjbOWOnltilS1blujoaI4fP56kuXUTOl5YWNhDX5PksFgsfPvtt+TMmdPWzDkp3/vxScp5Ter9UXyfkZj16SFmnvf4fliK4eLiQosWLWjRogUzZszggw8+YPTo0Wzbtg1/f/9Uv9+NfX4NwyAgIMBuvmhH975gfX1jvgMg6a/L5s2b48yjnpnuW9Uk20nCw8NZtWoVzzzzDC+++GKcv/79+xMaGmqbqsHFxYUXX3yRtWvXsnTpUsxmc5zm2DG/yDz4C8yBAwfYt2/fQ+NxdXWN88vN3Llzk11T1KpVK/LkycOUKVOIiIiwW5ecX4g6duzIlStX+Oyzz+KsCw8Pj9MULSk+/PBDNm7cSKdOneyaq5QtWzZO359FixYl6Zwk9rzG3Ogk5geKp556iuvXr9v12TKbzcydO5fcuXPbpiTJbMxmMwsXLrQtR0VFsXDhQgoWLEiNGjVS5TE6dOiAYRgOa3JiXidHn6Pg4GC+/PLLVInhQeHh4bz++uvcvn2b0aNHJ/jLbuwmaoUKFaJYsWJ206rlypUr1ZqMJ+b1iPlh7MHPicViYdGiRXGOl9jYihYtSrVq1fjqq6/sPg9//fUXGzdu5KmnnkruUxJJEkffBVFRUXz66afJPmbsqYjc3d2pXLkyhmFw//79ePfLCJ+LQoUK0bRpUxYuXOjwh+MHp5Z86qmn2L9/PwcPHrRb/2D/4/hcunSJnTt30rFjR4f3R926dSMgIMA2krGvry+tW7dmxYoVfP/997i7u9O+fXu7Yzq6Fv/www+2PtfxcfQeAFI08nT79u1xcXFh4sSJcWpSk3t/tG/fPjZs2BBnXVBQEGazOVlxWiwWBg4cyIkTJxg4cCDe3t4AeHt7U6BAgTj3R0n5XCTlvCb1/ujgwYN29713795l0aJF+Pn5JaoZfEpt3bqVSZMmUbp06QT77N++fTtOWcwPKDHX9aQ898T4+uuv7fpVr1y5kmvXrtm1Uitbtiz79+8nKirKVva///0vzvRTSX1dLBaLbZq3GDNnzsRkMiW6lZwzqYbZSdasWUNoaCjt2rVzuL5u3boULFiQZcuW2RLjTp06MXfuXN577z2qVKkSpzbqmWeeYdWqVTz//PM8/fTTBAYGsmDBAipXrmzrgxKfZ555hqVLl+Lj40PlypXZt28fmzdvTvbw7d7e3sycOZMePXpQq1Yt2/x7v//+O/fu3YszZ/DDvP7666xYsYI+ffqwbds2GjRogMVi4eTJk6xYsYINGzbYTR7viNlsts2JFxERwYULF1izZg1//PEHzZo1i3OT36NHD/r06UOHDh1o2bIlv//+Oxs2bEjw1+jYEnteq1WrhqurK1OnTiU4OBgPDw/bPMCx9erVi4ULF9K1a1eOHDmCn58fK1euZM+ePcyaNStF/Ywc2bVrV5wfPcA6CMODv0qmVLFixZg6dSrnz5/n0UcfZfny5Rw7doxFixYlavqrxGjWrBmvv/46c+bM4cyZM7amX7t27aJZs2b079+fVq1a4e7uzrPPPkvv3r0JCwvjs88+o1ChQklqXRDblStXbO+/sLAwjh8/zg8//MD169cZNmyY3QBbsYWGhlKiRAlefPFFqlatSu7cudm8eTOHDh2ya71Qo0YNli9fztChQ6lVqxa5c+fm2WefTVa8iXk9HnvsMerWrcuoUaNstfbff/+9wxu0pMQ2ffp02rZtS7169ejevbtt+hwfHx+Hc6OLpIX69euTN29eunTpwsCBAzGZTCxdujRFzQJbtWpFkSJFaNCgAYULF+bEiRN88sknPP300w/97s4In4t58+bRsGFDqlSpQs+ePSlTpgw3btxg3759XL582Tav8fDhw1m6dClt2rRh0KBBtmmlYlpIJeTbb7+1TUPjyFNPPYWbmxvLli2zDUzWqVMnXnvtNT799FNat25tG1ApxjPPPMPEiRPp1q0b9evX588//2TZsmV2NWaOeHt707hxY6ZNm8b9+/cpXrw4GzduTFErg3LlyjF69GgmTZpEo0aNeOGFF/Dw8ODQoUMUK1aMKVOmJOl477zzDmvWrOGZZ56xTTl19+5d/vzzT1auXMn58+cfet8SHBxsuz7du3ePgIAAVq1axdmzZ3n55ZeZNGmS3fY9evTgww8/pEePHtSsWZOdO3faWiAlRlLOa8wPtKNHj+bll18mR44cPPvssw5bVIwcOZLvvvuOtm3bMnDgQPLly8dXX31FYGAgP/74Y6p13Yrx66+/cvLkScxmMzdu3GDr1q1s2rSJUqVKsWbNmnhbjABMnDiRnTt38vTTT1OqVCn++ecfPv30U0qUKGGrzS9btiy+vr4sWLCAPHnykCtXLurUqZOk8UgelC9fPho2bEi3bt24ceMGs2bNoly5cnZTX/Xo0YOVK1fSpk0bOnbsyNmzZ/nmm2/sBuFKamzPPvsszZo1Y/To0Zw/f56qVauyceNGfv75ZwYPHhzn2BlSuozFLXE8++yzhqenp3H37t14t+natauRI0cO4+bNm4ZhWKcbKFmypMOh2WPWf/DBB0apUqUMDw8Po3r16sb//ve/OMO7G0bcof/v3LljdOvWzShQoICRO3duo3Xr1sbJkyfjnUIp9lD6jqaRMQzDWLNmjVG/fn3Dy8vL8Pb2NmrXrm189913tvXxTWfgKOaoqChj6tSpxmOPPWZ4eHgYefPmNWrUqGFMmDDBCA4Ojvc8xhyPB6ZEypkzp+Hn52d06NDBWLlyZZypHQzDMCwWizFixAijQIECRs6cOY3WrVsbAQEBiT4nhpH482oYhvHZZ58ZZcqUMVxdXe3OpaOpi27cuGE7rru7u1GlSpU4Q/vHTP0wffr0OHHFfv0dedi0Ug/uD8SZ8ii+x3c0ZUrM++Dw4cNGvXr1DE9PT6NUqVLGJ5984vCYsaeVim/KMEfvI7PZbEyfPt2oWLGi4e7ubhQsWNBo27atceTIEds2a9asMZ544gnD09PT8PPzM6ZOnWp88cUXDqfDSuy0UjHnzWQyGd7e3sZjjz1m9OzZ027alQc9eI4jIyONd955x6hataqRJ08eI1euXEbVqlWNTz/91G6fsLAw45VXXjF8fX0NwPbc45um5sF1saeVSszrYRiGcfbsWcPf39/w8PAwChcubLz77rvGpk2b4hwzvtjim6Jk8+bNRoMGDWzfHc8++6xx/Phxu21ipumIPS1HfNNdicQ3rVR80+rs2bPHqFu3ruHl5WUUK1bMGD58uG0aJkefmdhifwctXLjQaNy4sZE/f37Dw8PDKFu2rPHOO+/YXcMS+rym5HNhGPFPcZeU7/CzZ88ab7zxhlGkSBEjR44cRvHixY1nnnnGWLlypd12f/zxh9GkSRPD09PTKF68uDFp0iRj8eLFD/1sVqlSxXjkkUfiXW8YhtG0aVOjUKFCxv379w3DsE455eXlZRBrysUYERERxrBhw4yiRYsaXl5eRoMGDYx9+/bF+Q539H10+fJl4/nnnzd8fX0NHx8f46WXXjKuXr0a7xRKif0++uKLL4zq1avb7meaNGlim2LUMOJ/rRxdd0JDQ41Ro0YZ5cqVM9zd3Y0CBQoY9evXNz766CPbNIDxiZmeKOYvd+7cRvny5Y3XXnvN2Lhxo8N97t27Z3Tv3t3w8fEx8uTJY3Ts2NH4559/En1ODCPx59UwrFNnFS9e3HBxcbE7l47upc6ePWu8+OKLhq+vr+Hp6WnUrl3b+N///me3TXyfsYSmzHpQzGsa8+fu7m4UKVLEaNmypTF79my7qZtin4sYW7ZsMZ577jmjWLFihru7u1GsWDGjc+fOcaYH+/nnn43KlSsbbm5udrEl9L0V37RS3333nTFq1CijUKFChpeXl/H000/bTSUX4+OPPzaKFy9ueHh4GA0aNDAOHz7s8H0XX2yO7r1CQ0ONIUOGGMWKFTNy5MhhlC9f3pg+fbrdVGqG4fi7yDDin+4qvZgMQ6OiiIhzNW3alJs3b9oGFxERERERyQjUh1lERERERETEASXMIiIiIiIiIg4oYRYRERERERFxQH2YRURERERERBxQDbOIiIiIiIiIA0qYRURERERERBxwc3YA6S06OpqrV6+SJ08eTCaTs8MREZEsyjAMQkNDKVasGC4u+n06MXSNFhGR9JCUa3S2S5ivXr1KyZIlnR2GiIhkE5cuXaJEiRLODiNT0DVaRETSU2Ku0dkuYc6TJw9gPTne3t5OjkZERLKqkJAQSpYsabvuyMPpGi0iIukhKdfobJcwxzTx8vb21sVYRETSnJoWJ56u0SIikp4Sc41WpyoRERERERERB5Qwi4iIiIiIiDighFlERERERETEASXMIiIiIiIiIg4oYRYRERERERFxQAmziIiIiIiIiANKmEVEREREREQcUMIsIiIiIiIi4oASZhEREREREREHlDCLiIiIiIiIOODUhHnnzp08++yzFCtWDJPJxOrVqx+6z/bt23nyySfx8PCgXLlyLFmyJM3jFBERERERkezHqQnz3bt3qVq1KvPmzUvU9oGBgTz99NM0a9aMY8eOMXjwYHr06MGGDRvSOFIRERERERHJbtyc+eBt27albdu2id5+wYIFlC5dmo8//hiASpUqsXv3bmbOnEnr1q3TKkwRERERERHJhjJVH+Z9+/bh7+9vV9a6dWv27dvnpIhERFLObIlm9uYzvPb5AWZvPoPZEu2wLPY+MzeepvG0bTSeto2Zm07F2UaS7mHnXURERJwkNBTefRdu3UrXh3VqDXNSXb9+ncKFC9uVFS5cmJCQEMLDw/Hy8oqzT2RkJJGRkbblkJCQNI9TRNKf2RLNvG1nOXT+NrX88vFWs7K4uSb8m6CjfYAkHyelMc7bdpZZm09jAHsCbtq2j102yL+8bd28bWeZvfWMbXn2lgBcTC5220jSOXotdE5FREScyDDgxx9h8GC4cgX+/Rc++yzdHj5TJczJMWXKFCZMmODsMEQkARFRZrotOcyJayFUKurNl11r2hLJQ+dvU+ORvGAyOHIhKE4SG5OE/nj0Mhdv3wMSn+gkJ1FNifiSsUPnb2P8t40BHDp/2/Z/7LIYsZfjK5Okie+1EBERESc4dw7694dff7UulykDHTqkawiZKmEuUqQIN27csCu7ceMG3t7eDmuXAUaNGsXQoUNtyyEhIZQsWTJN4xTJiGISy4OBt7BEG1wJCsdkMvF89WIMaF4+1WpRYzhKgj3dHX/ldFtymH3nrM1r9p27Rbclh6lbJr8tudz9QDIbO4l9MAmNkdhEJzmJakrE93i1/PKxJ+AmBmD6bxlwWBajll8+u/OCg20k6eJ7LURERCQdRUbC9OkweTJERIC7O4wYAaNGQTx5X1rJVAlzvXr1WLdunV3Zpk2bqFevXrz7eHh44OHhkdahiWQYZks0c7cEsOq3y4REmMnt7oLJ5MK/YZFEmuP2x0yrpryOkuDvetV1uO2JayFxll1dTHZJcIzYSeyDSWiMxCY6yUlUUyK+x4tpCh67aXh8ZTH7REcb/HTsCgDPVy8WZxtJuoReCxEREUkHW7dCv35w6pR1uUULmDcPKlRwSjhOTZjDwsIICAiwLQcGBnLs2DHy5cvHI488wqhRo7hy5Qpff/01AH369OGTTz5h+PDhvPnmm2zdupUVK1bwyy+/OOspiDhdTM3xgXM3OX/rLtdCIjEeyCCDwx9+jLRoduooCY5PpaLetuQ6ZvnB5PJBsZPY2Ns9ki8nHZ4skahEJzmJakrE93huro5/sEjoRww3VxeGtHqUIa0eTbX4JP7XQkRERNLYjRswbBgsW2ZdLlwYZsyAzp3BZHJaWE5NmA8fPkyzZs1syzFNp7t06cKSJUu4du0aFy9etK0vXbo0v/zyC0OGDGH27NmUKFGCzz//XFNKSbbw4IBRMX16D567xdFLwQ5rjpMiLZqdOkqC4/Nl15oO+zAD8fZhjuEoCU1s8/LkJKopoWRMREREJBaLBRYtsja3Dg62Jsf9+sH774Ovr7Ojw2QYhqNWj1lWSEgIPj4+BAcH4+0d/w28iLM92LQ6OPw+EfctRFlS/nH19nSlclGfDNWHWSQr0vUm6XTORESymaNHoU8fOHTIulyjBsyfD7VqpenDJuV6o7tXkQwiLRJkVxcTRfK4YzK5EBp5n8pFfdItcfV0d4u3z7KIiIiIZGPBwTB2rLVvcnQ0eHtbB/jq2xdcXZ0dnR0lzCJpKPa8u70bl2bhzkAOBt4i2gAXEzxZMi+HLtzm2KUgIlLYtNoEuLiYAIOaj+Tlqzdrq1ZXRERERDIGw4AVK2DIELh2zVrWuTN8/DEULerc2OKhO2mRFIqIMtP1y0P8dvEOmEwUyuPBC08Wp2+TsnYjRe8JuMn+c7fYf+6W3UBWe87ecnzgh6hbOh8mDP6+FsrdKDNFfbxYP7Ahub3cU+FZiYiIiIikojNn4K23YNMm63L58vDpp+Dv79y4HkIJs0gSxSTIxy4FkcMVIi0QZasZNrh0J5zZWwI4GHjHbtArA+tI0cltZO3uasIzhys+Xjl44cniadLvWEREREQkVUVEwNSpMGWKdX5lDw94910YPhw8PZ0d3UMpYRaJR0xz6oOBt7BEG1wJCscwDP4Ni7KNSh1hjn9/R9MoVSrqHaeGObaYxNgwDEwmkxJkEREREcmcNm2yjngdM5Vwq1bWfsvlyjk3riRQwiwSS0SUmTcWH+DQhaBk1wZD3GmV6pXJz5dda8bbh/nk9VCNJi0iIiIimd/VqzB0KCxfbl0uWhRmzYKXXnLqnMrJobtyEf5/CqS/rwRx9340lujkpcomoEReL1sf5oU7A+PMD2ydh1dz8YqIiIhIFmOxWGuQx4yB0FBwcYEBA2DiROtI2JmQEmbJlh6cwinoXhRhURaSMyO5CSjm60lYpNnhlE3W5FhEREREJIs7dMg6p/LRo9bl2rVhwQKoXt25caWQEmbJFh7sj2y2RHPscrCtH3JiuLuaKOztiWEYgCnd5zQWEREREcmQgoKsg3gtWGCdNsrX1zrAV8+eGW5O5eTQnb5kaUF3I2g0bTuhkZZkH6O4rycbBjXSdE0iIiIiIjEMA779FoYNgxs3rGWvvQYffQSFCzs3tlSkhFmypJQkyq4uJnJ7uKoGWURERETEkZMnrXMqb91qXa5Y0TqncrNmzo0rDSgTkCwjpl/yyiMXuRIcmej9TIC7m3W6puolfVnSrZaSZBERERGR2MLDYfJkmDYN7t+3zqM8diy8/Ta4Z83WmMoKJNOLiDLT5YuDHLpwh8QMbl3Mx4OwSAtR5miqKUEWEREREXm4deugf38IDLQuP/UUzJ0LZco4N640pixBMiWzJZrZm87w1f7zhESYE7WPCejTpDTDWlXEzdUlbQMUEREREckKLl+GwYPhxx+tyyVKwOzZ8PzzmW5O5eRQwiyZSkSUmTcWH+DQhSCSMgtUXyXKIiIiIiKJZzZba5DHjYOwMOuI14MGwfjxkCePs6NLN0qYJcNLSd/k4r5erB/UUCNci4iIiIgk1r590Lcv/P67dblePeu0UU884dy4nEDVbZKhhYVHUX3SJmZvPZPoZLm4rxcnJ7Ym8MOn2T2yuZJlEZFkmjdvHn5+fnh6elKnTh0OHjyY4PY//PADFStWxNPTkypVqrBu3bp0ilRERFLF7dvQqxfUr29NlvPlg88+g927s2WyDEqYJQMKC4+i4dStlBn5C49P2ERoIvooe7i5UDKvF4NalGPHO001iJeISAotX76coUOH8t5773H06FGqVq1K69at+eeffxxuv3fvXjp37kz37t357bffaN++Pe3bt+evv/5K58hFRCTJDAO++goqVLAmyABdu1qnj+rRA1yyb9poMgwjKV1BM72QkBB8fHwIDg7G29vb2eHIA2L6Jx+8EJTofYr7erJhUCPVIotIhpPZrzd16tShVq1afPLJJwBER0dTsmRJBgwYwMiRI+Ns36lTJ+7evcv//vc/W1ndunWpVq0aCxYsSNRjZvZzJiKSKR0/bm1+vXOndfmxx2D+fGjUKFUOb7ZEM2/bWQ6dv00tv3z0blya+dvPseq3ywTdiyLKYk1HE5reNfYx3mpWNkVjEyXleqNqOMkQIqLM1PpgS6JqkwFKqG+yiEiaiYqK4siRI4waNcpW5uLigr+/P/v27XO4z759+xg6dKhdWevWrVm9enW8jxMZGUlk5P93twkJCUlZ4CIiknj37sGkSfDRR9YBvnLmhPfegyFDIEcOu03NlmhmbjjN53sDiTJH240TFBFlptuSw/x9xToob6Q5GsMwcPmvVrpAbneuBEUAsDvgJvvO3mR/4O044ewPvE23JYf5rlfdOOvmbTvLrM2nMYA9ATcBGORfPnXPRzyUMItThYVH0WrWTq4mon+yCejXtAxDWlbQaNciImno5s2bWCwWChcubFdeuHBhTp486XCf69evO9z++vXr8T7OlClTmDBhQsoDFhGRpFm7FgYMgAsXrMvt2sGcOVCqlN1mN0PvUXvyNqJj7X45KJw2c3aze0Rzui05zL5zt+I+RrR1r5hkOcaxS0HxhnXimuMfTg+dv22bIcf4bzm9KGEWp0hK82sfLzcqF/Xhy6411TdZRCQLGTVqlF2tdEhICCVLlnRiRCIiWdzFizBwIPz8s3X5kUesU0e1awf8f03y/J1n4yTJsV0PtibC8SW58fHI4UqE2fHRKxV13Dy6ll8+9gTcxMBaiVbLL1+SHjMllH1IugsLj6LG5C1ExvNBieHu5sLR0S3U7FpEJJ0VKFAAV1dXbty4YVd+48YNihQp4nCfIkWKJGl7AA8PDzw8PFIesIiIJOz+fZg1yzqH8r17GG5uHGjflW4l2xC+1xX2/oIJcDGBJZEjXBXx8QSsSa7DGuZ4vFGnFC4uJod9mL/sWtPhPm81Kwtg14c5vShhlnQVdDeC6u9v4WFDzdXxy8tXb9ZWjbKIiBO4u7tTo0YNtmzZQvv27QHroF9btmyhf//+DvepV68eW7ZsYfDgwbayTZs2Ua9evXSIWERE4rV7t3VQr/9mLThQ4jHGturL6YJ+dpsZJD5ZdnUxsX5gQwC+7FozwT7M1Ur4ULt0Pn67FGw3YNeQVo8m+im4ubqkW5/lOI/tlEeVbCexfZVr++XlayXKIiJON3ToULp06ULNmjWpXbs2s2bN4u7du3Tr1g2AN954g+LFizNlyhQABg0aRJMmTfj44495+umn+f777zl8+DCLFi1y5tMQEcm+bt7E/M47uC1ZAsAtL2+mNHuTlY+3AJMp2Yct5uPJxsH/P0uNp7ubw4G6sgplJZJmIqLMdP3yEMcuBRFpiU6wVlnTQ4mIZCydOnXi33//Zdy4cVy/fp1q1aqxfv1628BeFy9etNUeANSvX59vv/2WMWPG8O6771K+fHlWr17N448/7qynICKSPUVHc/uT+ZhGjCJvRCgA3z3RiqlNuxLklbwp+2InydmJ5mGWVGW2RDN3SwArj1zkSmJGvjbBn+NaZssPn4hkbbreJJ3OmYhI8gXdjeCNwYsZ9+s8al45AcCJgn6MbvUWR0tUeuj+JiCHqwmLAbncXelSrxSD/B/NkrPTaB5mcZqPN55k/o7ARG3r6mLiyOjmSpZFRERERJLBbInm4/Wn+GrL3wza8x2rDq3GzYjmbg5PZjR8lSU122FxcU3wGGrpmTAlzJJqgu5GJDpZLu7jyZZhTdRXWUREREQkiW6G3qPelG3ctxi0PrOPTZs/o3jovwD8+mh9JrboyTXvgvHu37NRKUa0qZwla49Tm7IVSRVBdyOoNmlLgtvU8cuLm6sLtUvnt42OJyIiIiIiiRN0N4L6U7Zwzwwlgq4zYfNCWpw9BMBFn8KMa9mH7WVrxdnP3dXE3pFNKZAnZ3qHnOkpYZYUM1uiqf3BtnjXl/D1Yv2ghmrmISIiIiKSDGHhUbT4eBs3wszksNyn38GfGLB3OV7mSKJc3FhU5wU+qdeRiByedvtl58G6UosSZkmRiCgzLWbsIMoS7XB930ZlGPH0wwcZEBERERGR/xcWHkXr2bu4EhRhK6t78Q8mbZxP+VuXANj3SBXGtOzH2QIlbdu4mkzsGdmYIj650z3mrEgJsyRLzJRRBwJvE98w67UeycuwNhXSNS4RERERkczMbIlmyi/HWbz3gq0s/90g3t3+BR3+2grAzZw+vN+8B6srN7XNqezu5sLeEU3U7DqVKWGWZHl98QEOXQiKd31udxe+611X/ZRFRERERBIpIspM02lbuR52HwCTEU3n3zcwfMdX+EaEEY2Jb6u1YVqTLoR4WmuQ1ew6bSlhliSJGbo+oWTZw82F/aNaKFkWEREREUmEsPAoWs7cwbWQKFtZ5RvnmLxhHtWvnQLgr8JlGdOqH8eKWVtw1izlyzfd62jWmTSmsyuJEhFlpssXBzl4/k68TbABivt6sWVoY31wRUREREQeIqYyav6uc7ayXJH3GLp7GV2PrMXViCbU3YuPG73O0iefxuLiqhrldKasRhJktkQze9MZPt0RgCWBTNkEDGxRjgHNy6tmWUREREQkAUF3I6j3wRbCLQ8UGgZtT+3hvS2LKBJ2G4D/VWzExOY9KPFYGf7uUVeVUk6gMy7xMluieWXRfg5euPPQbX8b2wLfXJ4P3U5EREREJDs7fyuEptN32ZU9cucaEzctoGngEes2vkUZ26ovu0o/yeZhDSlX0McZoQpKmCUBH288+dBk2cPNhQOjmilZFhERERFJQFh4FM0/2so/d/+/WtndfJ/eB1by1v4f8DRHEenqxoI6L/Fp3Rdxz5OLY+800X22kylhFocioszM3xEY73pXE/RrWpZB/o+qCbaIiIiISAKuB4dRd8oOu7L6548xadN8yt6+AsCuUtUY16ovVwqWZO9ITQ+VUShhljjMlmiaf7wj3vV1/PLy1Zu11YdCREREROQhgu5G2CXLBcPuMHrb57Q/bi37J1deJjXvwbU27fhV/ZQzHL0aYicsPIp6H24lNNLicP1f77XUiHwiIiIiIg8REWXmlYV7OHolDACXaAuvHvuVd3YuxTvyLtGY+PrJp5nT9A12vv+c7rEzKCXMYqfVrF3xJstF8uTQB1lERERE5CFiN8F+/HoAkzfMo+r1MwD8UaQco1u9hXudmuxVrXKGpldGgP+fA+5qcITD9SZg89Cm6RqTiIiIiEhmEnu6qDyRdxm2cymv/7YOVyOaEPecTG/yBsuqteXgWH/1U84ElDALADM32U+Y/iBXFxNHRjdX7bKIiIiIiANBdyNo8OFW7t43rAWGQbsTOxmz9XMK3bXOOrO6chMmN+vB7Tx5OTpGU7JmFkqYBYDPdzseEdsE/D2+lZqJiIiIiIjEEtNK88GKp9K3rzBx43waXTgGwNl8xRnbsi97/arx5CM+7FIT7ExFr5QQEWUm0mw4XHdodDN9oEVEREREYomIMtP84+1cDY4EwMMcRb99P9DnwA94WMxEuubgk3odWVjnRSw53Dn8blM1wc6ElAllc2HhUTz5/maH646NVVMREREREZHYbobeo+bkbbblRoFHmbhpPqXvXANge+kajGvZh4t5i9K7sR/vtK6Em6uLs8KVFFDCnI1FRJl58v0tRFkc1y4rWRYRERERsYo9TRRAodBbjNv6Oc+c3AXA9dz5mNiiF+sqNKB26XxsfLO2Wmtmcnr1simzJZrmH+8gyhLtcH1Rbw3wJSIiIiICcWuUXaMtvHH0fwzd9Q15osKxmFxYUuNZZjZ8laicuTk8somaX2cRSpizoYgoMy0+3hHvFFLubi5sGtIknaMSEREREcl4Av4Nxv/j3bblaldP8f7GT3n8xlkAfitagdGt3+J44TLq0pgFKWHOhl5ffIAr8SXLrib+GNdSTUdEREREJNu7HhxmS5a9I8IYvuMrXjm2HhcMgj1yMbVpV76r2pocbm4cHtlEyXIWpKwom7kZeo9DF4IcrjMBR8f4K1kWERERkWzv8p1QGk7dCYZB++PbGb11MQXvBQHw4+PN+aDpm5SqVIoTmiYqS9Mrm40E3Y2w63vxIJMJfhvTgtxe6rssIiIiItnXg3Mrl711iUkb51P/4h8AnMlfkrGt+nK0dDX2qp9ytqCEOZswW6KpPSWeZBn4c1xLJcsiIiIikq2FhUdR54PNWO6F8/a+FfQ6sAr3aDPhbh7Mrd+Jz2o/z6/Dm1GuoI+zQ5V0ooQ5GzBboum8cD9RZscjYv82VjXLIiIiIpJ9mS3RTP/1JAt3B9L07CEmblrAI8E3ANhcthbj/Xtz2bcINUrkUbKczShhzgY+3niSQxfvOFx3eHQzDU4gIiIiItnWzdB71J68jUIhN5m/ZRFtT+8F4GqeAoz3783G8nXBZMIELOtV37nBSrpTwpzFhYVHMX9HoMN1tR7xUb8LEREREcm2Lt8JpcmUbXQ7vIahu5eR634EZpMLi2u1Z3aDztxz9wIgj4cbu4Y30eBe2ZBe8SzMbImm/lTH/ZZdTbC0R910jkhERERExLkiosy8/vl+Dl0M5snLJ/jfxnlU+vc8AIeLV2JMq36cLFTatv3+UU0o4pPbSdGKsylhzqLMlmheWbSfkAizw/VHxrTQL2QiIiIikq3ETBXlGx7ClO1L6PzHRgDueOZhStNu/PCEP4bJBYBiPp5sHNxIY/1kc8qYsqjpG05w8ILjfsu1HvFRv2URERERyTYiosy8umgvRy6F8OJfWxi17Qvyh4cAsLxKSz5s2pU7Oa2DeeXxcGPfyGZKlAVQwpwlhYVHsXDneYfrivt4qim2iIiIiGQLZks0MzecZt7Os5T/9wLLN35Knct/A3CqwCOMbv0Wh0s8Ztu+e8NSjGpbGTdXF2eFLBmMEuYsJiw8iqoTNzlcl8fTjR3Dm+kLQERERESyvLDwKGp/sBnjbjgj935H90OryRFt4V4OD2Y1eIUvaj6H2dWaDtUq5cvS7nXUZVHi0DsiCwm6G0H1SVsw4lm/b4SSZRERERHJ+q4Hh1F3yg78zxxg/OYFlAj5F4AN5esywb8XV70LAfBkSR9W9Kmve2SJlxLmLCIsPCrBZLl3w9LqhyEiIiIiWdrN0HvUmbyNIsH/8NnmhbQMOADAZe9CvNeyN1vK1bFt27NRKUa0UfNrSZgS5izAbImm3ofb4k2Wi/t48k7biukak4iIiIhIerkZeo96U7Zh3DfT4/BqBu35jpz3I7nv4spntZ9nbr2XCXe3Dnqbx9ONXe800SC4kihKmLOAjzeeJDTS8fRRxX082TKsiX45ExEREZEsKab5da1Lf/H+xk+pcPMiAAdKPs6Yln05U7CUbdvdIxpTIm8eZ4UqmZAS5ixg0c5Ah+XFfDw0yJeIiIiIZElmSzTTfz3JDxuPMX3bl7z012YAbnl580Gz7vz4eHMwmQCo8YgPy3rU1aBekmR6x2RyYeFRWBy0xXYxwdZhTZUsi4iIiEiWYrZEM+WX43yxJ5COf2xiy/Yl5I0IBeDbqm2Y2qQLwV7WWmR3VxcOvttMza8l2ZyeTc2bNw8/Pz88PT2pU6cOBw8eTHD7WbNmUaFCBby8vChZsiRDhgwhIiIinaLNeFrP3uWw/OiYFvoFTURERESynJmbTrFn9XZWfjOcqevnkjcilOOFSvPCa9N5t01/gr3y4O5qYkCzshyf2FrJsqSIUzOq5cuXM3ToUBYsWECdOnWYNWsWrVu35tSpUxQqVCjO9t9++y0jR47kiy++oH79+pw+fZquXbtiMpmYMWOGE56B810Jcvxjgb4YRERERCTLCQsj3/jR/O/gz7gZ0YS5ezGz4assqfEsFhdXAGqU9GV5n3pqaSmpwqnvohkzZtCzZ0+6detG5cqVWbBgATlz5uSLL75wuP3evXtp0KABr7zyCn5+frRq1YrOnTs/tFY6qwq66zhZ7tuoTDpHIiIiIiKShgwDy8qVhJQuT/cDP+FmRPNLhQb4d5/P4lrtbcly78Z+SpYlVTmthjkqKoojR44watQoW5mLiwv+/v7s27fP4T7169fnm2++4eDBg9SuXZtz586xbt06Xn/99XgfJzIyksjISNtySEhI6j0JJ2s0bYfD8mFtKqRzJCIiIiIiaSQwEPr3x3XdOryBiz6FGdeyL9vL1rRt0r1hKUa11ZzKkvqcljDfvHkTi8VC4cKF7coLFy7MyZMnHe7zyiuvcPPmTRo2bIhhGJjNZvr06cO7774b7+NMmTKFCRMmpGrsGYWjqaRMoC8KEREREcn8oqLgo49g0iSIiCDKxY0FdTowr15HInN42DbLlcPE2Gced2KgkpVlqsxq+/btfPDBB3z66accPXqUVatW8csvvzBp0qR49xk1ahTBwcG2v0uXLqVjxGknLDzKYXkfNccWERERkcxu+3aMqlVh9GiIiGDvI0/Q9s25zGj8ul2yDLBnZHMnBSnZgdNqmAsUKICrqys3btywK79x4wZFihRxuM/YsWN5/fXX6dGjBwBVqlTh7t279OrVi9GjR+PiEjf/9/DwwMPDI055ZhYWHkXViZscrlNzbBERERHJtP75h+hhw3D55htMwL85fXm/eXd+rtzUNqfygw6P1pRRkracVsPs7u5OjRo12LJli60sOjqaLVu2UK9ePYf73Lt3L05S7Opq7eBvGA4mI86iWs3a5XDuZVBzbBERERHJhKKjYcECoitUwOWbb4jGxNLqT9Gi5wJ+fqyZw2S5d8PSFMiT0wnBSnbi1Gmlhg4dSpcuXahZsya1a9dm1qxZ3L17l27dugHwxhtvULx4caZMmQLAs88+y4wZM6hevTp16tQhICCAsWPH8uyzz9oS56zObInmarBGxxYRERGRrCF0734CX+rKE1dP4QL8WbgsY1r14/di8bec7N6wFO+0rZh+QUq25dSEuVOnTvz777+MGzeO69evU61aNdavX28bCOzixYt2NcpjxozBZDIxZswYrly5QsGCBXn22WeZPHmys55Cupu+4YTD8uI+nmqOLSIiIiKZhvlOEL93HUi1tct4wogm1N2Ljxq/wdLqTxHt4rgyrLivJxsGNSK3l3s6RyvZlcnITm2ZsU4r5ePjQ3BwMN7e3s4OJ0mC7kZQbdIWh+tOTmyNp7tTf/8QEZEHZObrjbPonIlkbWZLNLM3neGrfYE0PradsVs/o3DYbQDWVmzEpOY9+CdPfof71irly9LudXS/K6kiKdcbveMykfjmXS6SJ4e+PEREREQkwzFbopm54TQLd53FbECpO1eZu2kBTQKPAhCYtyhjW/Zjd+nqDvevWcqXb5QoixPpnZdJ3Ay953DeZYDNQ5umbzAiIiIiIgkIuhtBw6nbCIuKBsDdfJ+BB1by1r4VeFjuE+nqxvy6LzG/7ktEutk3rzYBdUrnY0m3WkqUxen0Dswk6k91XLt8eHQz9eEQERERkQwhIsrMG4sPcPBCkK2swfljTNr4KWXuXAVgp191xrXsw/l8xe32NQG1/PLy9Zu1lShLhqF3YiYQFh5FlDk6TnlONzSUvoiIiIg4TUSUma5fHuLohduYDYh+YHSkgmG3Gbv1c9qd2AnAjdz5mNS8B/+r2AhMJutMUQYU9/Vi/aCGqgSSDEkJcwYXFh5F1UmbHa7bO6pFOkcjIiIiIvL/fZM/3XmW2CMIu0RbeO23dby9cyneUfewmFz4+smnmdHoNUI9cmmka8lUlDBncK1n78IS7Xggc99cnukcjYiIiIhkZ2ZLNB+vP8WCXefiJMoAVa6dYfLGeTxxPQCAY0XLM7rVW5wpXp7ejcswyP9R3FxdHOwpkjEpYc7Abobe40pQhMN1dfzypnM0IiIiIpKdRUSZafHxDq4Ex70/9Y4IY9iupbx+dB0uGIR45GJa4zdYXr0NvZqV5+eWFZQoS6akhDkDq/+h44G+avvl5as3a6dzNCIiIiKSHYWFR9Fy5g6uhUTFXWkYtDuxg7FbP6fg3SAA1jzejMXP9aNpkyqcaF5eibJkakqYMyizJZooS9yBvop6u7OiT30nRCQiIiIi2UVMH+VFu89yP+4tKQBlbl1m4qb5NLzwOwBXCj9Cwa8+p13rlrRLx1hF0pIS5gzq440nHZZvGtIknSMRERERkewgLDyKVrN2ci040mH/5Bge9yPpt/8H+hxYiYfFzH13D1zGjKH48HfAwyPd4hVJD0qYM6CIKDPzdwQ6XKfRBEVEREQktZgt0czedIYv954jLCqequQHNDl3hAmbFuAXdM26f6vW5Jj/KZQpk9ahijiFEuYM6LXFBxyWF86tl0tEREREUkdYeBT1PtxKaKTlodsWDr3J2C2f88yp3QCE5i9MzvlzcXvxRawTKotkTeqBn8FERJk5fCHI4botw5qlbzAiIpIt3b59m1dffRVvb298fX3p3r07YWFhCe7TtGlTTCaT3V+fPn3SKWIRSaqw8CiqTtr80GTZNdrCm4d+ZsvnfXnm1G4MV1cYMoQ8gWdwfeklJcuS5anKMoOJr3a5SJ4cao4tIiLp4tVXX+XatWts2rSJ+/fv061bN3r16sW3336b4H49e/Zk4sSJtuWcOXOmdagikkRBdyNoOHVboppfN7h5hrG/fELF62etBXXrYlqwAKpWTeMoRTIOJcwZTHy1y5uHNk3XOEREJHs6ceIE69ev59ChQ9SsWROAuXPn8tRTT/HRRx9RrFixePfNmTMnRYoUSa9QRSSRIqLMdP3yEEfO3+Z+QqN5/aeix33WXvmFHF8sBsOAvHlh6lTo3h1c1EBVshe94zOQoLtxJ4EHa99l1S6LiEh62LdvH76+vrZkGcDf3x8XFxcOHHDcCirGsmXLKFCgAI8//jijRo3i3r17CW4fGRlJSEiI3Z+IpK6w8CiemLiJ/YEPT5aLe3tw+tF/WD+/FzkWf25Nlrt0gVOnoGdPJcuSLamGOQNpNG2Hw3L1XRYRkfRy/fp1ChUqZFfm5uZGvnz5uH79erz7vfLKK5QqVYpixYrxxx9/MGLECE6dOsWqVavi3WfKlClMmDAh1WIXEauYka+/2n+ekAjzQ7c3AWPKGHT7djIuO7ZbCytXhvnzoXHjNI1VJKNTwpxBhIVHERoZ9wvNBU0lJSIiKTdy5EimTp2a4DYnTpxI9vF79epl+79KlSoULVqUFi1acPbsWcqWLetwn1GjRjF06FDbckhICCVLlkx2DCJibX7dYsYOrgQ5brkYW4Oinnx1dRNu/WfA/fvg5QXjxsHQoeCue1ARJcwZRKtZuxyW923s+CZDREQkKYYNG0bXrl0T3KZMmTIUKVKEf/75x67cbDZz+/btJPVPrlOnDgABAQHxJsweHh54eHgk+pgiEr+w8ChazdrJ1eDIRG1fwteLTY+G4DWsP5w/by189lmYMwf8/NIsTpHMRglzBhB0N4KrwY5/BRzS+tF0jkZERLKiggULUrBgwYduV69ePYKCgjhy5Ag1atQAYOvWrURHR9uS4MQ4duwYAEWLFk1WvCKSODHNrz/ZEYDxkD7Kribo06QMQyrmxG3oEBj1k3VFyZIwdy4891zaByySyajnfgbQaLrjvsu9G5bGzVUvkYiIpJ9KlSrRpk0bevbsycGDB9mzZw/9+/fn5Zdfto2QfeXKFSpWrMjBgwcBOHv2LJMmTeLIkSOcP3+eNWvW8MYbb9C4cWOeeOIJZz4dkSxv9ubTzN2ecLLsaoIBzcpy6j1/3vnrF9wefwx++gnc3OCdd+D4cSXLIvFQDXMGEOpgMIYcLvBO24pOiEZERLK7ZcuW0b9/f1q0aIGLiwsdOnRgzpw5tvX379/n1KlTtlGw3d3d2bx5M7NmzeLu3buULFmSDh06MGbMGGc9BZEsLWaaqN8u3iHSknC1ch2/vHz1Zm08Dx2A2h3hzz+tKxo2tA7q9fjj6RCxSOalhNnJIqIcj1x4aHQL1S6LiIhT5MuXj2+//Tbe9X5+fhgPVGeVLFmSHTsct5YSkdQTkygfPH+b6Ic0v67tl5ev36yNZ2gw9OsDixdbV+TPD9OmQdeumiZKJBGUMDvZ64sdz2npm8sznSMRERERkYwoIspMly8OcvD8HR6SJ+Pt6cbBd1vg6eYCX31lbXJ965Z1ZffuMHWqNWkWkURRwuxkhy4EOTsEEREREcmAzJZo5m4JYMHOs0Saox+6fYm8Xmwe0hjP0yehb1/Yvdu6okoVa/PrBg3SOGKRrEcJcwZU6xEfZ4cgIiIiIk4UEWXGf8ZOLgeFJ7idq4uJYj6evPBkcQbUKYbbmHdh5kwwmyFXLpgwAQYOhBw50ilykaxFCXMGtLRHXWeHICIiIiJOEhFlpvYHWwhxMDBsDFcT9GtalkH+j1rHvfn5Z3i8JVy6ZN3g+edh9mzrlFEikmxKmJ0oLDzKYbmnu14WERERkezoYcmyCeuAXl+9Wdt6z3j+vLUGee1a6wZ+ftY5lZ95Jr1CFsnSlJk5UevZu+KU1Szp7YRIRERERMRZzJZoZm86w9cHLhAacT/eEbDrls7HNz3qWGuUo6KsA3hNmADh4dYm12+/DWPGQM6c6fsERLIwJcxOdCUoIk7ZNz3rOSESEREREXEGsyWa1xcfZN+5W/FuE6f59c6d1kG9jh+3btCkiXVQr0qV0ilqkexDCXMGo+bYIiIiItlDRJQZ/5k7uXwn/oG9bNNEubvBv/9ap4n66ivryoIF4aOP4PXXwWRKp6hFshdlZ05itjx8agARERERyZoe1lfZ1QVq++Xny641rXMqL1oEI0fCnTvW5LhXL/jgA8iXL50jF8lelDA7yccbTzo7BBERERFJZxFRZrp+eYiD52877Kvs6gK1SuVjSbda1lrl33+3Nr/et8+6QbVq1ubXdTWrikh6UMLsJIt2Bjo7BBERERFJB2ZLNHO3BLDqt8tcDY7AEs+oXiXyerH97abWfsqhoTDyPZgzBywWyJ0bJk2C/v3BTbfwIulFnzYnsTj4nuzbqEz6ByIiIiIiaWru1jPM3hqQ4Dbenm5sHtIYNxcT/PgjDBoEV65YV770EsycCcWLp0O0IvIgJcxOEHQ37ujYAMPaVEjnSEREJCMLCgrip59+YteuXVy4cIF79+5RsGBBqlevTuvWralfv76zQxSRhzBbolmy93yC25TI68XmIY3xvHzRWoP866/WFWXKwLx50KZN2gcqIg65ODuA7KjR9B0Oy91c9XKIiAhcvXqVHj16ULRoUd5//33Cw8OpVq0aLVq0oESJEmzbto2WLVtSuXJlli9f7uxwRcQBsyWamRtPU+P9zQSHOx7Yy8PNhQHNyrJ9QD08p30Ijz1mTZbd3WHsWPjrLyXLIk6mGuZ0FhFlJtTBaIi5cmgqABERsapevTpdunThyJEjVK5c2eE24eHhrF69mlmzZnHp0iXefvvtdI5SRBIyb9tZZm8943Cdt6cb3Rr4MaB5edx27oAn28OpU9aVLVpYa5UrqOWhSEaghDmdvfHFQYflbzYom86RiIhIRnX8+HHy58+f4DZeXl507tyZzp07c+vWrXSKTEQSw2yJZuWRSw7X1SuTn6Xda+N281/o8gYsW2ZdUbgwzJgBnTtrTmWRDEQJczoyW6I5eP6Ow3WDWpZP52hERCSjeliynNLtRSRtxIyGvWTfeYLD78dZX69MfpZ2rYHbooUwahQEB1uT43794P33wdc3/YMWkQSp02w6im/u5aLe7uq/LCIiDn311Vf88ssvtuXhw4fj6+tL/fr1uXDhghMjE5EHRUSZafrRdmZvPeMwWS6Z14ul1d1wa9jAmiAHB0ONGnDgAHzyiZJlkQxKWVo6im/u5U1DmqRzJCIikll88MEHeHl5AbBv3z7mzZvHtGnTKFCgAEOGDHFydCISM7hX1YmbuHwn3OE2eSLvMnf/Etzq1oFDh8DbG+bOtSbLtWqlc8QikhRqkp1OIqLMDudezpXDRG4v9/QPSEREMoVLly5Rrlw5AFavXk2HDh3o1asXDRo0oGnTps4NTiSbM1uieX3xQfadi2ccAcOg47m9jNv6Oblv/2st69wZPv4YihZNv0BFJNmUMKeT1xcfcFi+Z2TzdI5EREQyk9y5c3Pr1i0eeeQRNm7cyNChQwHw9PQkPNxxbZaIpK2H9VUGeDTkGosOLsHvyB5rQfny8Omn4O+fjpGKSEopYU4HQXcjOHQhyOE631ye6RuMiIhkKi1btqRHjx5Ur16d06dP89RTTwHw999/4+fn59zgRLKhh9Uqe5ijGP77z7y563tMkZHg4QHvvgvDh4On7vtEMhslzOmg0bQdDstrl/JN30BERCTTmTdvHmPGjOHSpUv8+OOPthGxjxw5QufOnZ0cnUj2kZha5dZX/+DDLQvJe/W/AflatbLOqfxftwoRyXyUMKexoLsRhEaa45S7muDr7nWcEJGIiGQmvr6+fPLJJ3HKJ0yY4IRoRLKnh9UqFwq9xayDS6l/eLO1oGhRmDULXnpJcyqLZHIaJTuNNZruuHb5yJgWeLrr9woREXm4Xbt28dprr1G/fn2uXLkCwNKlS9m9e7eTIxPJ+hJKll2iLfT54xd2LelnTZZdXGDQIDh5Ejp2VLIskgUoYU5joRFxa5dzuqnvsoiIJM6PP/5I69at8fLy4ujRo0RGRgIQHBzMBx984OToRLK+edvOOkyWn7h2ms3LhzPy1/l43LsLtWvD4cPWmmVv7/QPVETShBLmNGS2RDss3zuqRTpHIiIimdX777/PggUL+Oyzz8iRI4etvEGDBhw9etSJkYlkfWZLND8evWxX5h0RxodbF/Dz0mGUuXgKfH1h/nzYuxeqV3dOoCKSZlKlTbDFYuHPP/+kVKlS5M2bNzUOmSVM33DCYblql0VEJLFOnTpF48aN45T7+PgQFBSU/gGJZANmSzTztp3lx6OXuXj7nrXQMHju+HYm7PwS35Db1rLXXoOPPoLChZ0XrIikqWTVMA8ePJjFixcD1mS5SZMmPPnkk5QsWZLt27enZnyZltkSzcKd550dhoiIZHJFihQhICAgTvnu3bspU6aMEyISydpi+izP3HzaliyXvXWJZctHM/t/H1uT5YoVYetWWLpUybJIFpeshHnlypVUrVoVgLVr1xIYGMjJkycZMmQIo0ePTtUAM6uZm045LK/1iE86RyIiIplZz549GTRoEAcOHMBkMnH16lWWLVvG22+/Td++fZ0dnkiWEnuAL4/7kQzduZRfvxhAgwt/YHb3gMmT4fffoVkzJ0crIukhWU2yb968SZEiRQBYt24dL730Eo8++ihvvvkms2fPTtUAM6vPdgU6LF/ao246RyIiIpnZyJEjiY6OpkWLFty7d4/GjRvj4eHB22+/zYABA5wdnkiWETtZbnr2MBM2L6BU0HUAAms3oeSyxVCurDPDFJF0lqyEuXDhwhw/fpyiRYuyfv165s+fD8C9e/dwdXVN1QAzqyiLEaescG43TSUlIiJJYjKZGD16NO+88w4BAQGEhYVRuXJlcufO7ezQRDI9syWauVsC+OnYFYLD7xMcfp8iITcZt2URT53eC8CtvIXwXTSP0h06aJookWwoWdlbt27d6NixI0WLFsVkMuHv7w/AgQMHqFixYqoGmJVsGaamOyIikjzu7u5UrlzZ2WGIZBmxa5Rdoy10P7KWIbuXkTsqHLPJhQ0tOtH6h/m4+qpLnUh2layEefz48Tz++ONcunSJl156CQ8PDwBcXV0ZOXJkqgaYGcU3nVRuL/d0jkRERDKjF154gSVLluDt7c0LL7yQ4LarVq1Kp6hEspYH51eufuUkkzfOo/I/1i51R4pVZEX30Ux+7xXcXDULq0h2luz2wS+++CIAERERtrIuXbqkPKIs4OONJ50dgoiIZGI+Pj6Y/mv66e3tbftfRFIuZsqoL/cE4hMeyogdX/Hy7xtwweCOZx4WPd0Lz149mdyivJJlEUlewmyxWPjggw9YsGABN27c4PTp05QpU4axY8fi5+dH9+7dUzvOTGXRTscDfomIiCTGl19+aft/yZIlzgtEJIuxNcM+e5MOf21l1PYvKHAvGIDV1Vpx/d3xDHuhjhJlEbFJ1rfB5MmTWbJkCdOmTcPd/f+bGT/++ON8/vnnqRZcZuVgvC+Keqs5toiIJF3z5s0JCgqKUx4SEkLz5s3TPyCRTGzetrP8e/A3ln83io/XzaTAvWACCpbihxnLeObwr/R5qZ6SZRGxk6wa5q+//ppFixbRokUL+vTpYyuvWrUqJ09m7+bIEVFmh+WbhjRJ50hERCQr2L59O1FRUXHKIyIi2LVrlxMiEsl8zJZoFv76F7mnfsCve1eSI9rCvRwezG7Qmdwj3mFAGw2oJyKOJSthvnLlCuXKlYtTHh0dzf3791McVGb22uIDDss14JeIiCTFH3/8Yfv/+PHjXL9+3bZssVhYv349xYsXd0ZoIplCTF/lg4G3KL5nCwN/mkOJkH8A2FSuDuP9e/NI9UosbakZXkQkfslKmCtXrsyuXbsoVaqUXfnKlSupXr16qgSWWR2+EOTsEEREJAuoVq0aJpMJk8nksOm1l5cXc+fOdUJkIhlbTKL849HLmM+f573Ni2h9Zj8Al70LMt6/D4efaEi3BqV5q1lZNcEWkQQlK2EeN24cXbp04cqVK0RHR7Nq1SpOnTrF119/zf/+97/UjjHT69uojLNDEBGRTCYwMBDDMChTpgwHDx6kYMGCtnXu7u4UKlQIV1dXJ0YokjHN23aWTzYcp9vhnxm851ty3o/kvosrn9d6njn1Xybc3ZMhDUozyL+8s0MVkUwgWQnzc889x9q1a5k4cSK5cuVi3LhxPPnkk6xdu5aWLVumdoyZ3rA2FZwdgoiIZDIxrbiio6OdHIlI5hBTs/zbt2tZu3YOFW9eAOBAiccY06ofZwpaP1P1yuTnrWZlnRmqiGQiyZ6HuVGjRmzatCk1Y8my1NRHRESSYs2aNbRt25YcOXKwZs2aBLdt165dOkUlknGZLdH0m72RFktmsORP6/3pLS9vpjR7kwONnqFEvlwUMkHt0vnVDFtEkiTZCbPEFRYedxRTERGRpGrfvj3Xr1+nUKFCtG/fPt7tTCYTFosl/QITyYiio9k+/EOmfvoheSNCAfjuiVYsaNOTF1pW5UMlyCKSAolOmPPly8fp06cpUKAAefPmxWQyxbvt7du3UyW4zKbVLE3vISIiKfdgM2w1yRaJn/nY7/zz2pv4/30UgBMF/Rjd6i2OlqjEEP9H1U9ZRFIs0QnzzJkzyZMnj+3/hBLm7OpqcEScsqLemk5KREREJFWFhcGECbjMmEmxaAt3c3gyo+GrLKnZDouLq/opi0iqSXTC3KVLF9v/Xbt2TbUA5s2bx/Tp07l+/TpVq1Zl7ty51K5dO97tg4KCGD16NKtWreL27duUKlWKWbNm8dRTT6VaTKlp05Amzg5BREQymTlz5iR624EDB6ZhJCIZjGFgWbWKe30HkOffa7gAvz5an4ktenLNuyC+Xjk0XZSIpKpk9WF2dXXl2rVrFCpUyK781q1bFCpUKNH9qZYvX87QoUNZsGABderUYdasWbRu3ZpTp07FOTZAVFQULVu2pFChQqxcuZLixYtz4cIFfH19k/M00kVuL9Uwi4hI0sycOTNR25lMJiXMkn0EBsKAAbj+8gt5gIs+hRnXsg/by9YCwAR003RRIpLKkpUwG4bhsDwyMhJ398QniDNmzKBnz55069YNgAULFvDLL7/wxRdfMHLkyDjbf/HFF9y+fZu9e/eSI0cOAPz8/JL+BERERDKwwMBAZ4cgknFERcHHH2NMmoQpPJz7Lm4srPMCn9TrSEQOTx7Jl5NH8uWkll8+NcMWkVSXpIQ5pomYyWTi888/J3fu3LZ1FouFnTt3UrFixUQdKyoqiiNHjjBq1ChbmYuLC/7+/uzbt8/hPmvWrKFevXq89dZb/PzzzxQsWJBXXnmFESNG4Orq6nCfyMhIIiMjbcshISGJii+pzBYNyiIiIiKSqnbsgL594cQJTMC+R6owpmU/zhYoCVhrlTs8WUK1yiKSZpKUMMc0ETMMgwULFtglqe7u7vj5+bFgwYJEHevmzZtYLBYKFy5sV164cGFOnjzpcJ9z586xdetWXn31VdatW0dAQAD9+vXj/v37vPfeew73mTJlChMmTEhUTCkxc9OpNH8MERHJHoYOHcqkSZPIlSsXQ4cOTXDbGTNmpFNUIunon3/gnXfg66+tywULMr9dP6bmrwn/DTz7YH9lEZG0kqSEOaaJWLNmzVi1ahV58+ZNk6DiEx0dTaFChVi0aBGurq7UqFGDK1euMH369HgT5lGjRtndbISEhFCyZMlUj+2zXXGbz+V212ATIiKSdL/99hv379+3/R8fzVghWU50NHz2GYwaBXfugMlEdK9eLGrdg+/OhMLte4D6K4tI+klWH+Zt27al+IELFCiAq6srN27csCu/ceMGRYoUcbhP0aJFyZEjh13NdqVKlbh+/TpRUVEO+097eHjg4eGR4ngfJsoSt193t/pl0vxxRUQk63nwOpsa11yRTOHYMWvz6/37rcvVq8P8+cwNzceszaeJudN6JF9OOjxZQjXLIpIuEp0wp3bzMHd3d2rUqMGWLVto3749YK1B3rJlC/3793e4T4MGDfj222+Jjo7GxcVae3v69GmKFi2apMHG0suglvrVU0REUs+lS5cA0qSllIjThIbCuHEwZ461hjlPHnj/fejXD9zcOPT5AR6slngkX07VLItIukl0wpwWzcOGDh1Kly5dqFmzJrVr12bWrFncvXvXNmr2G2+8QfHixZkyZQoAffv25ZNPPmHQoEEMGDCAM2fO8MEHH2TYKTU0/5+IiKSU2WxmwoQJzJkzh7CwMABy587NgAEDeO+992yzRohkOoYBP/4IgwbB1avWso4dYeZMKFbMtlktv3zsCbiJgbUpdi2/fE4JV0Syp0QnzGnRPKxTp078+++/jBs3juvXr1OtWjXWr19vGwjs4sWLtppksP6ivmHDBoYMGcITTzxB8eLFGTRoECNGjEiVeERERDKaAQMGsGrVKqZNm0a9evUA2LdvH+PHj+fWrVvMnz/fyRGKJMPZs9C/P6xfb10uWxY+/RRatQKss4/M23aWQ+dvU+ORvAxsUY4jF4I0dZSIpDuTEd+kyllUSEgIPj4+BAcH4+3tnWrH9Rv5S5yy8x8+nWrHFxGRzCW1rjc+Pj58//33tG3b1q583bp1dO7cmeDg4JSGmmGk1TVaMpDISJg2DT74ACIiwN0dRo60/nl52TabvfmMrd+yCRjs/6iaYYtIqknK9SbRNcwvvPBCogNYtWpVorcVERGR+Hl4eODn5xenvHTp0hly/A6ReG3dah3U6/Rp67K/P8ybB48+atskpmb5yz2Btn7LBnDo/O10D1dEBJKQMPv4+KRlHJlaRJTZ2SGIiEgW1b9/fyZNmsSXX35pm/UhMjKSyZMnxztIpkiGcv06DBsG335rXS5SxNpPuVMn25zKMeZtO2s3Ijao37KIOFeiE+Yvv/wyLePI1N744qCzQxARkSwkdquuzZs3U6JECapWrQrA77//TlRUFC1atHBGeCKJY7HAggUwejQEB4OLi3Xk6/ffhwcqYh7sr3zx9j27ZNnXKwfdGpRWv2URcZpkzcMs9g6dvxOnrJhP2s/9LCIiWVPsVl0dOnSwW9a0UpLhHTkCffrA4cPW5Zo1rclzjRpxNnVUqwzWmuVuDUqr77KIOFWiE+Ynn3ySLVu2kDdvXqpXr57g9FFHjx5NleAyC0ejpm0c3Djd4xARkaxBrbok0woOhjFjrCNeR0eDt7d1gK8+fcDV1eEuh87fjjPP8iP5cmpEbBHJEBKdMD/33HO2vlPt27dPq3iyjNxeGohFREREsgnDgOXLYcgQa59lgFdegY8/tvZZTkDseZY7PFlCtcoikmEkOmF+7733HP4vIiIiaWvlypWsWLGCixcvEhUVZbcuu7XqkgzozBlr3+TNm63Ljz5qrWFOoI+95lkWkczCJSU7Hz58mKVLl7J06VKOHDmSWjGJiIjIf+bMmUO3bt0oXLgwv/32G7Vr1yZ//vycO3cuztzMIukqIgLeew8ef9yaLHt4wMSJ8McfCSbL8P/9lncH3GTO1jO4mFz4pkcdBvmXx801RbenIiKpKlnfSJcvX6ZRo0bUrl2bQYMGMWjQIGrVqkXDhg25fPlyascoIiKSbX366acsWrSIuXPn4u7uzvDhw9m0aRMDBw4kODg4TR5z8uTJ1K9fn5w5c+Lr65uofQzDYNy4cRQtWhQvLy/8/f05c+ZMmsQnGcDGjVClijVBjoqCNm3g779h7Fhr4vwQD/Zb1jzLIpKRJSth7tGjB/fv3+fEiRPcvn2b27dvc+LECaKjo+nRo0dqx5jh5XBJeFlERCS5Ll68SP369QHw8vIiNDQUgNdff53vvvsuTR4zKiqKl156ib59+yZ6n2nTpjFnzhwWLFjAgQMHyJUrF61btyYiIiJNYhQnuXrVOn9y69YQEADFisGKFbBuHZRNuCm12RLN7M1neO3zA1iiDWKGj9U8yyKSkSVrWqkdO3awd+9eKlSoYCurUKECc+fOpVGjRqkWnIiISHZXpEgRbt++TalSpXjkkUfYv38/VatWJTAwEMNwNE9Dyk2YMAGAJUuWJGp7wzCYNWsWY8aM4bnnngPg66+/pnDhwqxevZqXX345TeKUdGQ2W/sljxkDoaHWOZUHDoQJE6wjYSdC7Omj6pXJj6uLSf2WRSRDS1bCXLJkSe7fvx+n3GKxUKxYsRQHldncj054WUREJLmaN2/OmjVrqF69Ot26dWPIkCGsXLmSw4cP88ILLzg7PAACAwO5fv06/v7+tjIfHx/q1KnDvn374k2YIyMjiYyMtC2HhISkeaySDAcPWqeF+u0363KdOtY5latVS9JhYk8f5epi4psedVItTBGRtJCshHn69OkMGDCAefPmUbNmTcA6ANigQYP46KOPUjXAzMCE/VzM8c9QLSIikjSLFi0iOtr6S+xbb71F/vz52bt3L+3ataN3795Ojs7q+n/TCBUuXNiuvHDhwrZ1jkyZMsVWmy0Z0J078O67sHChddooX1+YOhV69LDWMD/EgyNh1/LLR41SvnbTR6kZtohkBolOmPPmzYvJ9P+p4N27d6lTpw5ubtZDmM1m3NzcePPNN7PdPM253F0Ii4q2WxYREUkNLi4uuDyQnLz88svJauI8cuRIpk6dmuA2J06coGLFikk+dnKNGjWKoUOH2pZDQkIoWbJkuj2+xMMwYNkyGDYM/vnHWvbGGzB9OhQqlOjDPNgEe0/ATQY2L89g/0dtCbSaYYtIZpDohHnWrFlpGEbmZbbEbX/t7ZnDCZGIiEhWdefOHRYvXsyJEycAqFy5Mt26dSNfvsTX0A0bNoyuXbsmuE2ZMmWSFV+RIkUAuHHjBkWLFrWV37hxg2oJNNv18PDAIxEjKks6OnnSOqfytm3W5UqVrH2XmzZN8qFij4R95OIdNcEWkUwn0Qlzly5d0jKOTGvu1jN2tcsAt+5GOSkaERHJanbu3Em7du3w9va2dYOaM2cOEydOZO3atTRu3DhRxylYsCAFCxZMkxhLly5NkSJF2LJliy1BDgkJ4cCBA0kaaVucKDwcJk+GadPg/n3w8rJOETVsGLi7J+uQtfzyqQm2iGR6yerD/KCIiAiiouwTRO9EjpaYFfx49EqcMk/3FJ9WERERwNpvuWPHjsyfPx9XV1fAOshmv379eOutt/jzzz9T/TEvXrzI7du3uXjxIhaLhWPHjgFQrlw5cufODUDFihWZMmUKzz//PCaTicGDB/P+++9Tvnx5SpcuzdixYylWrFi266aVKa1bB/37Q2CgdfmZZ2DOHChdOkmHid1nuXdj6/5qgi0imVmyMru7d+8yYsQIVqxYwa1bt+Kst1gsKQ4ss7gWHB6n7I06pZwQiYiIZEUBAQGsXLnSliwDuLq6MnToUL7++us0ecxx48bx1Vdf2ZarV68OwLZt22j6X9PcU6dOERwcbNtm+PDh3L17l169ehEUFETDhg1Zv349np6eaRKjpILLl2HQIFi1yrpcogTMnQvPPQempA9hGrvPMsAg//KpGLCISPpL1uhUw4cPZ+vWrcyfPx8PDw8+//xzJkyYQLFixdLs4p1ROejCzKCWujiIiEjqePLJJ219lx904sQJqlatmiaPuWTJEgzDiPPX9IF+rIZh2PWJNplMTJw4kevXrxMREcHmzZt59NFH0yQ+SSGzGWbMgIoVrcmyqyu8/TacOAHt2ycrWYa4fZYPnb+dWhGLiDhNsmqY165dy9dff03Tpk3p1q0bjRo1oly5cpQqVYply5bx6quvpnacmYqbq0bJFhGR5Pvjjz9s/w8cOJBBgwYREBBA3bp1Adi/fz/z5s3jww8/dFaIklnt22edUznmPVa/PsyfD088keJDq8+yiGRFyUqYb9++bRtJ09vbm9u3rb8gNmzYMNsN7pErh4m79w27ZRERkZSoVq0aJpMJw/j/68vw4cPjbPfKK6/QqVOn9AxNMqvbt2HkSPjsM+tyvnzWAb66dUvUnMqJEdNHWX2WRSQrSVbCXKZMGQIDA3nkkUeoWLEiK1asoHbt2qxduxZfX99UDjFjq1zUm0MXg+2WRUREUiIwZvAlkZQyDPjqK3jnHbhp7VfMm2/C1KlQoECKDh17kK+3mpVVn2URyXKSlTB369aN33//nSZNmjBy5EieffZZPvnkE+7fv8+MGTNSO8YM7dQ/YQkui4iIJFWpUho8UlLB339D376wa5d1+bHHYMECaNgwVQ6vQb5EJDtIVsI8ZMgQ2//+/v6cOHGCo0ePUq5cOZ5IhT4wmUmk2UhwWUREJKXOnj3LrFmzbIN/Va5cmUGDBlG2rJq8igN378LEidaBvcxmyJkTxo+HwYMhR45UexgN8iUi2UGqTBjs5+eHn59fahwq03F3NRFptl8WERFJLRs2bKBdu3ZUq1aNBg0aALBnzx4ee+wx1q5dS8uWLZ0coWQoa9bAgAFw8aJ1uX17mD0bHnkk1R9Kg3yJSHaQ7IR5y5YtzJw50/Zrd6VKlRg8eDD+/v6pFlxmEHHfkuCyiIhISowcOZIhQ4bEGRF75MiRjBgxQgmzWF28CAMHws8/W5dLlbLOqfzss2n2kBrkS0Syg2QNi/jpp5/Spk0b8uTJw6BBgxg0aBDe3t489dRTzJs3L7VjzNBcYo0sGXtZREQkJU6cOEH37t3jlL/55pscP37cCRFJhnL/vnW060qVrMmym5t1NOy//07VZNlsiWb25jO89vkBZm8+g9kSjZurC4P8y/NNjzoM8i+vaTVFJEtKVg3zBx98wMyZM+nfv7+tbODAgTRo0IAPPviAt956K9UCzOhyuEBkrGUREZHUUrBgQY4dO0b58vaDKR07doxChQo5KSrJEHbtsg7q9fff1uXGjeHTT62De6UyDfAlItlVshLmoKAg2rRpE6e8VatWjBgxIsVBZSYmkynBZRERkZTo2bMnvXr14ty5c9SvXx+w9mGeOnUqQ4cOdXJ04hT//gvDh8OSJdblAgXgo4/gjTcgje5DNMCXiGRXyUqY27Vrx08//cQ777xjV/7zzz/zzDPPpEpgmUWkOTrBZRERkZQYO3YsefLk4eOPP2bUqFEAFCtWjPHjxzNw4EAnRyfpKjoavvgCRoyA2/8lrL16wZQpkC9tB9zSAF8ikl0lOmGeM2eO7f/KlSszefJktm/fTr169QDYv38/e/bsYdiwYakfZQZmjjYSXBYREUkus9nMt99+yyuvvMKQIUMIDQ0FIE+ePE6OTNLdH39Ym1/v3WtdrloV5s+H/+7D0poG+BKR7MpkGEaiMrzSpUsn7oAmE+fOnUtRUGkpJCQEHx8fgoOD8fb2TvHxHh29jijL/59Cd1cTpyc/leLjiohI5pZa15ucOXNy4sQJSpUqlYrRZUypfY3OEsLCrHMoz5oFFgvkzm2dY3nAAOsAXyIikmRJud4k+ps2MDAwxYFlRe6upjgJs4iISGqpXbs2v/32W7ZImOUBhgE//QSDBsHly9ayF1+EmTOhRAnnxiYiko2k+KfJmArq7DrY1YPJsqNlERGRlOjXrx/Dhg3j8uXL1KhRg1y5ctmtf+KJJ5wUmaSZwEDo3x/WrbMuly4N8+ZB27bOjUtEJBtKdsL89ddfM336dM6cOQPAo48+yjvvvMPrr7+easFldGZLdJwE2aI+zCIikopefvllALsBvkwmE4ZhYDKZsFgszgpNUltUlHW060mTICICcuSwDvD17rvg5eXs6EREsqVkJcwzZsxg7Nix9O/fnwYNGgCwe/du+vTpw82bNxkyZEiqBplRzd16Jk5ZLg/1JxIRkdSjLlHZxPbt1kG9Tp60LjdrZp1TuWLFdA/FbIlm3razdgN8ubm6pHscIiIZQbKyu7lz5zJ//nzeeOMNW1m7du147LHHGD9+fLZJmH/67Wqcsi51/dI/EBERybLUdzmL++cfePttWLrUulyoEMyYAa+8kmZzKj/MvG1nmbX5NAawJ+AmAIP8yzslFhERZ0tWwnzt2jXq168fp7x+/fpcu3YtxUFlFrEHGPf2dGNQS11QREQkdZ06dYq5c+dy4sQJACpVqsSAAQOoUKGCkyOTZIuOhkWLYNQoCAqyJsd9+8LkyeDr69TQDp2/TcwdjvHfsohIdpWs9jXlypVjxYoVccqXL19O+fLZJ2Es7mvfn6hyUW81WRIRkVT1448/8vjjj3PkyBGqVq1K1apVOXr0KI8//jg//vijs8OT5PjtN+v8yX37WpPlJ5+E/futA3s5OVkGqOWXj5i6bdN/yyIi2VWyapgnTJhAp06d2Llzp60P8549e9iyZYvDRDqrcjElvCwiIpJSw4cPZ9SoUUycONGu/L333mP48OF06NDBSZFJkoWEwLhxMHeutYY5Tx5rjXK/fuDq6uzobN5qVhbArg+ziEh2layEuUOHDhw8eJAZM2awevVqwNo87ODBg1SvXj0148vQYg+IrQGyRUQktV27ds1uzJAYr732GtOnT3dCRJJkhgE//ABDhsDV/8Y/6dTJ2le5WDHnxuaAm6uL+iyLiPwnyQnz/fv36d27N2PHjuWbb75Ji5gyjStB4Qkui4iIpFTTpk3ZtWsX5cqVsyvfvXs3jRo1clJUkmgBAdY5lTdssC6XK2cd/bplS+fGJSIiiZLkhDlHjhz8+OOPjB07Ni3iERERkQe0a9eOESNGcOTIEerWrQvA/v37+eGHH5gwYQJr1qyx21YyiMhImDoVPvjA+r+7u3U+5REjwNPT2dGJiEgimYzYQz0nQpcuXahWrVqmnD4qJCQEHx8fgoOD8fb2TtGxOi3Yy4Hzd2zLdfzysrxP3NHDRUQk+0mt642LS+IGkzSZTFgslmQ/TkaQmtdop9q82dov+cwZ63LLltYBvTLQwKiaa1lEsrOkXG+S1Ye5fPnyTJw4kT179lCjRg1y5cplt37gwIHJOWymoybZIiKS1qKjo50dgiTW9eswdCh89511uWhRmDkTOnZ02pzK8dFcyyIiiZOshHnx4sX4+vpy5MgRjhw5YrfOZDJlm4Q5JMKc4LKIiIhkAxYLzJ8Po0dbR8J2cbH2W544EXx8nB2dQ5prWUQkcZKVMAcGBtr+j2nRbcpgv5ymh9it2ZPRul1ERCSO77//npdffjlR2166dImLFy/apnmUdHb4MPTpAzEVCLVqwYIF1rmVM7BafvnYE3ATA821LCKSkGR3Vlm8eDGPP/44np6eeHp68vjjj/P555+nZmwZXuwfCbLjjwYiIpL65s+fT6VKlZg2bRonTpyIsz44OJh169bxyiuv8OSTT3Lr1i0nRJnNBQVZa5Fr17Ymyz4+1tGv9+3L8MkyWOdaHuz/KA3LFWCw/6Oaa1lEJB7JqmEeN24cM2bMYMCAAdSrVw+Affv2MWTIEC5evMjEiRNTNciMytvTza4Ztrdnsk6niIiInR07drBmzRrmzp3LqFGjyJUrF4ULF8bT05M7d+5w/fp1ChQoQNeuXfnrr78oXLiws0POPgwDvv/eOqfyjRvWsldfhY8+giJFnBtbEmiuZRGRxElWhjd//nw+++wzOnfubCtr164dTzzxBAMGDMg2CXNxXy8uB0XYLYuIiKSGdu3a0a5dO27evMnu3bu5cOEC4eHhFChQgOrVq1O9evVEj6AtqeT0aevo11u2WJcrVLDWKjdv7ty4REQkzSQrYb5//z41a9aMU16jRg3M5uwz8NXV4IgEl0VERFKqQIECtG/f3tlhZG/h4TBlinVe5ago6zzKY8bA22+Dh4ezoxMRkTSUrJ+mX3/9debPnx+nfNGiRbz66qspDkpEREQkQ1i/HqpUgUmTrMly27bw99/WEbEzeLJstkQze/MZXvv8ALM3n8Fs0RRlIiJJlexOt4sXL2bjxo3UrVsXgAMHDnDx4kXeeOMNhg4dattuxowZKY8ygyrm48mlO+F2yyIiIqkpb968DgeVNJlMeHp6Uq5cObp27Uq3bt2cEF0WduWKtZ/yDz9Yl4sXh9mz4YUXMtycyvHRXMsiIimXrIT5r7/+4sn/RoA8e/YsYG0yVqBAAf766y/bdll91OgrQeEJLouIiKTUuHHjmDx5Mm3btqV27doAHDx4kPXr1/PWW28RGBhI3759MZvN9OzZ08nRZgFmM8ybZ21yHRYGrq4wcCBMmAB58jg7uiTRXMsiIimXrIR527ZtqR1HpvTgCNmOlkVERFJq9+7dvP/++/Tp08eufOHChWzcuJEff/yRJ554gjlz5ihhTqkDB6xzKh87Zl2uW9c6p3LVqk4NK7k017KISMppeM0UMAwjwWUREZGU2rBhA/7+/nHKW7RowYYNGwB46qmnOHfuXHqHlnXcuWNNlOvVsybLefPCokWwZ0+mTZZBcy2LiKQGTRycArGbnGf1JugiIpL+8uXLx9q1axkyZIhd+dq1a8mXz1pjePfuXfJksubCGYJhwNKl1tGu//3XWtalC0yfDgULOje2VKC5lkVEUk4Jcwp4e7rZNcP29tTpFBGR1DV27Fj69u3Ltm3bbH2YDx06xLp161iwYAEAmzZtokmTJs4MM/M5ccI6p/L27dblypVh/nxo3NipYYmISMaiDC8FSuTNyeWgCLtlERGR1NSzZ08qV67MJ598wqpVqwCoUKECO3bsoH79+gAMGzbMmSFmLvfuwfvvw0cfwf374OUF48bB0KHg7u7s6EREJINRwpwCLqaEl0VERFJDgwYNaNCggbPDyPx++QX694fz563Lzz4Lc+aAn58zoxIRkQxMCXMKGJgSXBYREUkNFouF1atXc+LECQAee+wx2rVrh6urq5MjyyQuXYJBg+Cnn6zLJUvC3Lnw3HPOjUtERDI8JcwpYMJIcFlERCSlAgICeOqpp7hy5QoVKlQAYMqUKZQsWZJffvmFsmU18nG87t+H2bNh/Hi4exfc3GDIEGsT7Ny5nR2diIhkAppWKgVUwywiImlt4MCBlC1blkuXLnH06FGOHj3KxYsXKV26NAMHDnR2eBnX3r1Qowa88441WW7YEH77DaZNU7IsIiKJphrmFFAfZhERSWs7duxg//79timkAPLnz8+HH36ofs3x+ekneOEF6//581uT5K5dwUX1BCIikjS6cqRATb+8CS6LiIiklIeHB6GhoXHKw8LCcNeozo61aQNly0L37nDqFLz5ppJlERFJFl09UsIwJbwsIiKSQs888wy9evXiwIEDGIaBYRjs37+fPn360K5dO2eHlzF5ecGxY/D559YaZhERkWRSwpwCRy7eSXBZREQkpebMmUPZsmWpV68enp6eeHp6Ur9+fcqVK8esWbOcHV7GpX7KIiKSCtSHOQVqlPJld8BNu2UREZHU5Ovry88//0xAQIBtWqlKlSpRrlw5J0cmIiKS9WWIhHnevHlMnz6d69evU7VqVebOnUvt2rUfut/3339P586dee6551i9enXaBxqbmmSLiEgaGDp0aILrt23bZvt/xowZaR2OZEBmSzTztp3l0Pnb1PLLx1vNyuLmqoaDIiKpzekJ8/Llyxk6dCgLFiygTp06zJo1i9atW3Pq1CkKFSoU737nz5/n7bffplGjRukYrT01yRYRkbTw22+/JWo7k0k/1GZX87adZdbm0xjAnv9auw3yL+/coEREsiCnJ8wzZsygZ8+edOvWDYAFCxbwyy+/8MUXXzBy5EiH+1gsFl599VUmTJjArl27CAoKSseI/18tv3zsCbiJAZj+WxYREUmpB2uQRRw5dP42xn//G/8ti4hI6nNq252oqCiOHDmCv7+/rczFxQV/f3/27dsX734TJ06kUKFCdO/ePT3CjFfvxqWpWyY/vl45qFsmP70bl3ZqPCIiIpI91PLLR0z7Av1oLyKSdpxaw3zz5k0sFguFCxe2Ky9cuDAnT550uM/u3btZvHgxx44dS9RjREZGEhkZaVsOCQlJdryxLdwZyP5ztzCA/edusXBnoJpDiYiISJp7q1lZALs+zCIikvqc3iQ7KUJDQ3n99df57LPPKFCgQKL2mTJlChMmTEiTeA4G3rJrDnUw8BaghFlERETSlpuri36kFxFJB05NmAsUKICrqys3btywK79x4wZFihSJs/3Zs2c5f/48zz77rK0sOjoaADc3N06dOkXZsva/sI4aNcputNGQkBBKliyZKvFHGwkvi4iIiIiISObl1ITZ3d2dGjVqsGXLFtq3bw9YE+AtW7bQv3//ONtXrFiRP//8065szJgxhIaGMnv2bIeJsIeHBx4eHmkSv4sp4WURERERERHJvJzeJHvo0KF06dKFmjVrUrt2bWbNmsXdu3dto2a/8cYbFC9enClTpuDp6cnjjz9ut7+vry9AnPL0UNMvL3vO3rJbFhERERERkazB6Qlzp06d+Pfffxk3bhzXr1+nWrVqrF+/3jYQ2MWLF3Fxcepg3vEzTAkvi4iIiIiISKbl9IQZoH///g6bYANs3749wX2XLFmS+gEl0pGLdxJcFhERERERkcwrg1bdZnxmSzSWB0b50hyIIiIiIiIiWYsS5mSat+0s+879f//lumXyaw5EERERERGRLEQJczIdOn/bbtnVxYSbq06niIiIiIhIVqEML5lqlPJNcFlEREREREQyNyXMyaURskVERERERLI0JczJpBGyRUQkq5o8eTL169cnZ86c+Pr6Jmqfrl27YjKZ7P7atGmTtoGKiIikMSXMyaQm2SIiklVFRUXx0ksv0bdv3yTt16ZNG65du2b7++6779IoQhERkfSRIeZhzpTUJFtERLKoCRMmALBkyZIk7efh4UGRIkXSICIRERHnUA1zMqlJtoiIiL3t27dTqFAhKlSoQN++fbl161aC20dGRhISEmL3l12ZLdHM3nyG1z4/wOzNZzBbop0dkoiIoIQ52Wr55SOmTtn037KIiEh21aZNG77++mu2bNnC1KlT2bFjB23btsViscS7z5QpU/Dx8bH9lSxZMh0jzljmbTvLrM2n2R1wk1mbTzNv21lnhyQiIihhTrbejUtTt0x+fL1yULdMfno3Lu3skEREROI1cuTIOINyxf47efJkso//8ssv065dO6pUqUL79u353//+x6FDh9i+fXu8+4waNYrg4GDb36VLl5L9+JndofO3Mf773/hvWUREnE99mJNp4c5A9p+7hQHsP3eLhTsDGeRf3tlhiYiIODRs2DC6du2a4DZlypRJtccrU6YMBQoUICAggBYtWjjcxsPDAw8Pj1R7zMysll8+9gTcxEAt10REMhIlzMmkX4JFRCQzKViwIAULFky3x7t8+TK3bt2iaNGi6faYmdlbzcoC1vuJWn75bMsiIuJcSpiTSb8Ei4hIVnXx4kVu377NxYsXsVgsHDt2DIBy5cqRO3duACpWrMiUKVN4/vnnCQsLY8KECXTo0IEiRYpw9uxZhg8fTrly5WjdurUTn0nm4ebqopZqIiIZkBLmZNIvwSIiklWNGzeOr776yrZcvXp1ALZt20bTpk0BOHXqFMHBwQC4urryxx9/8NVXXxEUFESxYsVo1aoVkyZNUpNrERHJ1JQwi4iIiJ0lS5Y8dA5mwzBs/3t5ebFhw4Y0jkpERCT9KWFOppjpHwxgT8BNADWlEhERERERyUI0rVQyadAvERERERGRrE0JczLV8suH6b//NeiXiIiIiIhI1qOEOZl6Ny5N3TL58fXKQd0y+enduLSzQxIREREREZFUpIQ5mRbuDGT/uVsEhd9n/7lbLNwZ6OyQREREREREJBUpYU4m9WEWERERERHJ2pQwJ5P6MIuIiIiIiGRtmlYqmd5qVhaw1izX8stnWxYREREREZGsQQlzMrm5umjeZRERERERkSxMTbJFREREREREHFDCLCIiIiIiIuKAmmQnk9kSzbxtZ+36MLu56vcHERERERGRrEIJczLN23aWWZtPYwB7Am4CqE+ziIiIiIhIFqIq0WTSPMwiIiIiIiJZmxLmZNI8zCIiIiIiIlmbmmQnk+ZhFhERERERydqUMCeT5mEWERERERHJ2pQwJ5NGyRYREREREcnalDAnk0bJFhERERERydpUJZpMGiVbREREREQka1PCnEwaJVtERERERCRrU5PsZNIo2SIiIiIiIlmbEuZk0ijZIiIiIiIiWZsS5mTSKNkiIiICuicQEcnKlDAnk0bJFhEREdA9gYhIVvZ/7d15cFRV2sfxXxbSSSobIdABTCTsiMgWwACiaBRQGVRk1ALZQRxUdkWmWKYQEhWRYUdrRC1BxmVElGWKJTDChC0KCkIgIEsFQsSYBGQJpM/7x8B9bemQrZNOwvdT1VV97z333nOeUp48fe7Cz58lxFOyAQCAxN8EAFCVUTCXEE/JBgAAEn8TAEBVxiXZJcRTsgEAgMTfBABQlVEwlxBPyQYAABJ/EwBAVcYl2QAAAAAAuEDBDAAAAACACxTMAAAAAAC4QMEMAAAAAIALFMwAAAAAALhAwQwAAAAAgAu8VqqEruY7tCDpiNM7F319+P0BAAAAAKoKCuYSWpB0RHM2HJKRtC3trCTxDkYAAAAAqEKYEi2hXceyZK59N9eWAQAAAABVBwVzCbWrFy6va9+9ri0DAAAAAKoOLskuoZFdG0iS0z3MAAAAAICqg4K5hHx9vLlnGQAAAACqMC7JBgAAAADABQpmAAAAAABcoGAGAAAAAMAFCmYAAAAAAFygYAYAAAAAwAWekl1CV/MdWpB0xOm1Ur4+/P4AAAAAAFUFBXMJLUg6ojkbDslI2pZ2VpJ4zRQAAAAAVCFMiZbQrmNZMte+m2vLAAAAAICqg4K5hNrVC5fXte9e15YBAAAAAFUHl2SX0MiuDSTJ6R5mAAAAAEDVQcFcQr4+3tyzDAAAAABVGJdkAwAAAADgQoUomBcsWKB69erJ399fHTp00M6dOwts++677+qee+5R9erVVb16dcXHx9+0PQAAAAAAJeHxgvmf//ynxo4dq6lTp+rbb79Vy5Yt1a1bN2VmZrpsv3nzZj3zzDNKSkpScnKyoqKi9NBDDyk9Pb2cew4AAAAAqMq8jDGm8GZlp0OHDmrXrp3mz58vSXI4HIqKitKLL76oiRMnFrp/fn6+qlevrvnz56t///6Fts/NzVVoaKhycnIUEhJS6v4DAOAK+ab4iBkAoDwUJ994dIY5Ly9PKSkpio+Pt9Z5e3srPj5eycnJRTrGhQsXdOXKFYWHu36t0+XLl5Wbm+v0AQAAAACgMB4tmM+ePav8/HzZ7Xan9Xa7XRkZGUU6xiuvvKI6deo4Fd2/l5CQoNDQUOsTFRVV6n4DAAAAAKo+j9/DXBqJiYlasWKFvvjiC/n7+7ts8+qrryonJ8f6nDx5spx7CQAAAACojDz6HuaIiAj5+PjozJkzTuvPnDmjyMjIm+47a9YsJSYmasOGDbrrrrsKbGez2WSz2dzSXwAAAADArcOjM8x+fn5q27atNm7caK1zOBzauHGj4uLiCtzvjTfe0PTp07Vu3TrFxsaWR1cBAAAAALcYj84wS9LYsWM1YMAAxcbGqn379pozZ45+++03DRo0SJLUv39/1a1bVwkJCZKk119/XVOmTNHy5ctVr149617noKAgBQUFeWwcAAAAAICqxeMF81NPPaWff/5ZU6ZMUUZGhlq1aqV169ZZDwI7ceKEvL3/fyJ80aJFysvL05NPPul0nKlTp2ratGnl2XUAAAAAQBXm8fcwlzd3vePxar5DC5KOaNexLLWrF66RXRvI16dSP0MNAOBGvFO4+IgZAKA8FCffeHyGubJakHREczYckpG0Le2sJGlUfCPPdgoAAAAA4DZMiZbQrmNZuj41b64tAwBQ2R07dkxDhgxRTEyMAgIC1KBBA02dOlV5eXk33e/SpUsaOXKkatSooaCgIPXu3fuGt2AAAFDZUDCXULt64fK69t3r2jIAAJXdwYMH5XA4tGTJEu3fv19vv/22Fi9erEmTJt10vzFjxuirr77Sp59+qi1btujUqVN64oknyqnXAACUDe5hLiHuYQYA3ExVuh/3zTff1KJFi3T06FGX23NyclSzZk0tX77ceijnwYMH1axZMyUnJ+vuu+8u0nmqUswAABUX9zCXA18fb+5ZBgDcEnJychQeXvCVVCkpKbpy5Yri4+OtdU2bNlV0dPRNC+bLly/r8uXL1nJubq77Og0AgBswJQoAAAqUlpamefPm6bnnniuwTUZGhvz8/BQWFua03m63KyMjo8D9EhISFBoaan2ioqLc1W0AANyCghkAgFvAxIkT5eXlddPPwYMHnfZJT09X9+7d1adPHw0bNsztfXr11VeVk5NjfU6ePOn2cwAAUBpckg0AwC1g3LhxGjhw4E3b1K9f3/p+6tQpde3aVR07dtQ777xz0/0iIyOVl5en7Oxsp1nmM2fOKDIyssD9bDabbDZbkfoPAIAnUDADAHALqFmzpmrWrFmktunp6eratavatm2rpUuXytv75hektW3bVtWqVdPGjRvVu3dvSVJqaqpOnDihuLi4UvcdAABP4ZJsAABgSU9P13333afo6GjNmjVLP//8szIyMpzuRU5PT1fTpk21c+dOSVJoaKiGDBmisWPHKikpSSkpKRo0aJDi4uKK/IRsAAAqImaYAQCAZf369UpLS1NaWppuu+02p23X30R55coVpaam6sKFC9a2t99+W97e3urdu7cuX76sbt26aeHCheXadwAA3I33MAMAUAbIN8VHzAAA5aE4+YZLsgEAAAAAcIGCGQAAAAAAFyiYAQAAAABwgYIZAAAAAAAXKJgBAAAAAHCBghkAAAAAABcomAEAAAAAcIGCGQAAAAAAFyiYAQAAAABwgYIZAAAAAAAXKJgBAAAAAHCBghkAAAAAABd8Pd2ByupqvkMLko5o17EstasXrpFdG8jXh98fAADwNHI0AMBdKJhLaEHSEc3ZcEhG0ra0s5KkUfGNPNspAABAjgYAuA0/t5bQrmNZMte+m2vLAADA88jRAAB3oWAuoXb1wuV17bvXtWUAAOB55GgAgLtwSXYJjezaQJKc7o8CAACeR44GALgLBXMJ+fp4cz8UAAAVEDkaAOAuXJINAAAAAIALFMwAAAAAALhAwQwAAAAAgAsUzAAAAAAAuEDBDAAAAACACxTMAAAAAAC4QMEMAAAAAIALFMwAAAAAALhAwQwAAAAAgAsUzAAAAAAAuEDBDAAAAACACxTMAAAAAAC4QMEMAAAAAIALvp7uQHkzxkiScnNzPdwTAEBVdj3PXM87KBw5GgBQHoqTo2+5gvncuXOSpKioKA/3BABwKzh37pxCQ0M93Y1KgRwNAChPRcnRXuYW++nb4XDo1KlTCg4OlpeXV6mOlZubq6ioKJ08eVIhISFu6uGtg/iVHLErHeJXOsSvaIwxOnfunOrUqSNvb+6AKgpydMVDHN2DOLoHcSw9Yvg/xcnRt9wMs7e3t2677Ta3HjMkJOSW/g+utIhfyRG70iF+pUP8CsfMcvGQoysu4ugexNE9iGPpEcOi52h+8gYAAAAAwAUKZgAAAAAAXKBgLgWbzaapU6fKZrN5uiuVEvErOWJXOsSvdIgfKgP+O3UP4ugexNE9iGPpEcPiu+Ue+gUAAAAAQFEwwwwAAAAAgAsUzAAAAAAAuEDBDAAAAACACxTMAAAAAAC4QMFcQgsWLFC9evXk7++vDh06aOfOnZ7uUrlLSEhQu3btFBwcrFq1aumxxx5TamqqU5tLly5p5MiRqlGjhoKCgtS7d2+dOXPGqc2JEyf0yCOPKDAwULVq1dKECRN09epVpzabN29WmzZtZLPZ1LBhQ73//vtlPbxyl5iYKC8vL40ePdpaR/wKlp6ern79+qlGjRoKCAhQixYttHv3bmu7MUZTpkxR7dq1FRAQoPj4eB0+fNjpGFlZWerbt69CQkIUFhamIUOG6Pz5805tvv/+e91zzz3y9/dXVFSU3njjjXIZX1nKz8/X5MmTFRMTo4CAADVo0EDTp0/X758BSfxQmZGjS6co+R3F5yrPo2gKy/koXFFyPwpgUGwrVqwwfn5+5r333jP79+83w4YNM2FhYebMmTOe7lq56tatm1m6dKnZt2+f2bNnj3n44YdNdHS0OX/+vNVmxIgRJioqymzcuNHs3r3b3H333aZjx47W9qtXr5o777zTxMfHm++++86sWbPGREREmFdffdVqc/ToURMYGGjGjh1rfvzxRzNv3jzj4+Nj1q1bV67jLUs7d+409erVM3fddZcZNWqUtZ74uZaVlWVuv/12M3DgQLNjxw5z9OhR8+9//9ukpaVZbRITE01oaKhZuXKl2bt3r/nTn/5kYmJizMWLF6023bt3Ny1btjTbt28333zzjWnYsKF55plnrO05OTnGbrebvn37mn379pmPP/7YBAQEmCVLlpTreN1txowZpkaNGubrr782P/30k/n0009NUFCQ+fvf/261IX6orMjRpVeU/I7iKSjPo3BFyfkoXFFyP1yjYC6B9u3bm5EjR1rL+fn5pk6dOiYhIcGDvfK8zMxMI8ls2bLFGGNMdna2qVatmvn000+tNgcOHDCSTHJysjHGmDVr1hhvb2+TkZFhtVm0aJEJCQkxly9fNsYY8/LLL5vmzZs7neupp54y3bp1K+shlYtz586ZRo0amfXr15t7773XSqTEr2CvvPKK6dy5c4HbHQ6HiYyMNG+++aa1Ljs729hsNvPxxx8bY4z58ccfjSSza9cuq83atWuNl5eXSU9PN8YYs3DhQlO9enUrltfP3aRJE3cPqVw98sgjZvDgwU7rnnjiCdO3b19jDPFD5UaOdr8/5ncUT0F5HkVTWM5H0RSW+1EwLskupry8PKWkpCg+Pt5a5+3trfj4eCUnJ3uwZ56Xk5MjSQoPD5ckpaSk6MqVK06xatq0qaKjo61YJScnq0WLFrLb7Vabbt26KTc3V/v377fa/P4Y19tUlXiPHDlSjzzyyA1jJH4FW7VqlWJjY9WnTx/VqlVLrVu31rvvvmtt/+mnn5SRkeE07tDQUHXo0MEpdmFhYYqNjbXaxMfHy9vbWzt27LDadOnSRX5+flabbt26KTU1Vb/++mtZD7PMdOzYURs3btShQ4ckSXv37tXWrVvVo0cPScQPlRc5umz8Mb+jeArK8yiawnI+iqaw3I+C+Xq6A5XN2bNnlZ+f71SgSJLdbtfBgwc91CvPczgcGj16tDp16qQ777xTkpSRkSE/Pz+FhYU5tbXb7crIyLDauIrl9W03a5Obm6uLFy8qICCgLIZULlasWKFvv/1Wu3btumEb8SvY0aNHtWjRIo0dO1aTJk3Srl279NJLL8nPz08DBgywxu5q3L+PS61atZy2+/r6Kjw83KlNTEzMDce4vq169eplMr6yNnHiROXm5qpp06by8fFRfn6+ZsyYob59+0oS8UOlRY52P1f5HUV3szyPoiks56NoCsv9KBgFM9xi5MiR2rdvn7Zu3erprlQaJ0+e1KhRo7R+/Xr5+/t7ujuVisPhUGxsrGbOnClJat26tfbt26fFixeTPIvgk08+0bJly7R8+XI1b95ce/bs0ejRo1WnTh3iB8AJ+b3kyPPuQc53D3J/yXFJdjFFRETIx8fnhicVnzlzRpGRkR7qlWe98MIL+vrrr5WUlKTbbrvNWh8ZGam8vDxlZ2c7tf99rCIjI13G8vq2m7UJCQmplLOj16WkpCgzM1Nt2rSRr6+vfH19tWXLFs2dO1e+vr6y2+3ErwC1a9fWHXfc4bSuWbNmOnHihKT/H/vN/j+NjIxUZmam0/arV68qKyurWPGtjCZMmKCJEyfq6aefVosWLfTss89qzJgxSkhIkET8UHmRo92roPyOoiksz+fn53u6i5VCYTkfRVNY7kfBKJiLyc/PT23bttXGjRutdQ6HQxs3blRcXJwHe1b+jDF64YUX9MUXX2jTpk03XHrZtm1bVatWzSlWqampOnHihBWruLg4/fDDD05/eK9fv14hISHWP45xcXFOx7jeprLH+4EHHtAPP/ygPXv2WJ/Y2Fj17dvX+k78XOvUqdMNrzg5dOiQbr/9dklSTEyMIiMjncadm5urHTt2OMUuOztbKSkpVptNmzbJ4XCoQ4cOVpv//Oc/unLlitVm/fr1atKkSaW+nPjChQvy9nb+59/Hx0cOh0MS8UPlRY52j8LyO4qmsDzv4+Pj6S5WCoXlfBRNYbkfN+Hpp45VRitWrDA2m828//775scffzTDhw83YWFhTk8qvhU8//zzJjQ01GzevNmcPn3a+ly4cMFqM2LECBMdHW02bdpkdu/ebeLi4kxcXJy1/fprkR566CGzZ88es27dOlOzZk2Xr0WaMGGCOXDggFmwYEGlfy1SQf749Ezi59rOnTuNr6+vmTFjhjl8+LBZtmyZCQwMNB999JHVJjEx0YSFhZkvv/zSfP/996ZXr14uX4vUunVrs2PHDrN161bTqFEjp9ciZWdnG7vdbp599lmzb98+s2LFChMYGFjpX4s0YMAAU7duXevVEv/6179MRESEefnll602xA+VFTm69IqS31EyPCW7+IqS81G4ouR+uEbBXELz5s0z0dHRxs/Pz7Rv395s377d010qd5JcfpYuXWq1uXjxovnLX/5iqlevbgIDA83jjz9uTp8+7XScY8eOmR49epiAgAATERFhxo0bZ65cueLUJikpybRq1cr4+fmZ+vXrO52jKvljIiV+Bfvqq6/MnXfeaWw2m2natKl55513nLY7HA4zefJkY7fbjc1mMw888IBJTU11avPLL7+YZ555xgQFBZmQkBAzaNAgc+7cOac2e/fuNZ07dzY2m83UrVvXJCYmlvnYylpubq4ZNWqUiY6ONv7+/qZ+/frmr3/9q9Prn4gfKjNydOkUJb+jZCiYS6awnI/CFSX3wzUvY4zxzNw2AAAAAAAVF/cwAwAAAADgAgUzAAAAAAAuUDADAAAAAOACBTMAAAAAAC5QMAMAAAAA4AIFMwAAAAAALlAwAwAAAADgAgUzgBts3rxZXl5eys7OttatXLlSDRs2lI+Pj0aPHu2xvgEAUJHcd999ZZIXu3TpouXLl5fqGNOmTVOrVq1uWGe32+Xl5aWVK1eW6vjr1q1Tq1at5HA4SnUcoCKjYAZQJM8995yefPJJnTx5UtOnT/d0dwAAqLJWrVqlM2fO6Omnn3brcQ8cOKC//e1vWrJkiU6fPq0ePXqU6njdu3dXtWrVtGzZMjf1EKh4KJgBFOr8+fPKzMxUt27dVKdOHQUHB3u6SwAAVFlz587VoEGD5O3t3j/Vjxw5Iknq1auXIiMjZbPZSn3MgQMHau7cuaU+DlBRUTADtwCHw6GEhATFxMQoICBALVu21GeffWZtX7NmjRo3bqyAgAB17dpVx44ds7Zt3rzZKpDvv/9+eXl5afPmzTc93+DBg3XXXXfp8uXLkqS8vDy1bt1a/fv3d/vYAACoKH799Vf1799f1atXV2BgoHr06KHDhw87tXn33XcVFRWlwMBAPf7445o9e7bCwsKs7T///LM2bdqknj17Ou2XnZ2toUOHqmbNmgoJCdH999+vvXv3OrVJTEyU3W5XcHCwhgwZokuXLlnbpk2bZh3T29tbXl5eNx3LpUuX1Lx5cw0fPtxad+TIEQUHB+u9996z1vXs2VO7d++2inGgqqFgBm4BCQkJ+vDDD7V48WLt379fY8aMUb9+/bRlyxadPHlSTzzxhHr27Kk9e/Zo6NChmjhxorVvx44dlZqaKkn6/PPPdfr0aXXs2PGm55s7d65+++036zh//etflZ2drfnz55fdIAEA8LCBAwdq9+7dWrVqlZKTk2WM0cMPP6wrV65IkrZt26YRI0Zo1KhR2rNnjx588EHNmDHD6Rhbt25VYGCgmjVr5rS+T58+yszM1Nq1a5WSkqI2bdrogQceUFZWliTpk08+0bRp0zRz5kzt3r1btWvX1sKFC639x48fr6VLl0qSTp8+rdOnT990LP7+/lq2bJk++OADffnll8rPz1e/fv304IMPavDgwVa76Oho2e12ffPNNyUPHFCB+Xq6AwDK1uXLlzVz5kxt2LBBcXFxkqT69etr69atWrJkierVq6cGDRrorbfekiQ1adJEP/zwg15//XVJkp+fn2rVqiVJCg8PV2RkZKHnDAoK0kcffaR7771XwcHBmjNnjpKSkhQSElJGowQAwLMOHz6sVatWadu2bdYPy8uWLVNUVJRWrlypPn36aN68eerRo4fGjx8vSWrcuLH++9//6uuvv7aOc/z4cdntdqfLsbdu3aqdO3cqMzPTuox61qxZWrlypT777DMNHz5cc+bM0ZAhQzRkyBBJ0muvvaYNGzZYs8xBQUHWTHZRcrkktWrVSq+99pqGDh2qp59+WsePH3fq63V16tTR8ePHixkxoHJghhmo4tLS0nThwgU9+OCDCgoKsj4ffvihjhw5ogMHDqhDhw5O+1wvrEsjLi5O48eP1/Tp0zVu3Dh17ty51McEAKCiOnDggHx9fZ1yao0aNdSkSRMdOHBAkpSamqr27ds77ffH5YsXL8rf399p3d69e3X+/HnVqFHDKZf/9NNP1qXQZZXPx40bp8aNG2v+/Pl67733VKNGjRvaBAQE6MKFC6U+F1ARMcMMVHHnz5+XJK1evVp169Z12maz2fTSSy+VyXkdDoe2bdsmHx8fpaWllck5AACoaiIiIvTrr786rTt//rxq167t8hkiv7//uSxkZmbq0KFD8vHx0eHDh9W9e/cb2mRlZalmzZpl2g/AU5hhBqq4O+64QzabTSdOnFDDhg2dPlFRUWrWrJl27tzptM/27dtLfd4333xTBw8e1JYtW7Ru3TrrvikAAKqiZs2a6erVq9qxY4e17pdfflFqaqruuOMOSf+77WnXrl1O+/1xuXXr1srIyHAqmtu0aaOMjAz5+vrekMsjIiKs8//+3JJ78vngwYPVokULffDBB3rllVes2fLrLl26pCNHjqh169alPhdQETHDDFRxwcHBGj9+vMaMGSOHw6HOnTsrJydH27ZtU0hIiEaMGKG33npLEyZM0NChQ5WSkqL333+/VOf87rvvNGXKFH322Wfq1KmTZs+erVGjRunee+9V/fr13TMwAAAqkEaNGqlXr14aNmyYlixZouDgYE2cOFF169ZVr169JEkvvviiunTpotmzZ6tnz57atGmT1q5d6/TE6tatWysiIkLbtm3To48+KkmKj49XXFycHnvsMb3xxhtq3LixTp06pdWrV+vxxx9XbGysRo0apYEDByo2NladOnXSsmXLtH///lLl3QULFig5OVnff/+9oqKitHr1avXt21fbt2+Xn5+fpP8V5TabzS2XfwMVETPMwC1g+vTpmjx5shISEtSsWTN1795dq1evVkxMjKKjo/X5559r5cqVatmypRYvXqyZM2eW+FyXLl1Sv379NHDgQOv1FcOHD1fXrl317LPPKj8/313DAgCgQlm6dKnatm2rRx99VHFxcTLGaM2aNapWrZokqVOnTlq8eLFmz56tli1bat26dRozZozTPcs+Pj4aNGiQli1bZq3z8vLSmjVr1KVLFw0aNEiNGze2HsJlt9slSU899ZQmT56sl19+WW3bttXx48f1/PPPl3gsBw8e1IQJE7Rw4UJFRUVJkhYuXKizZ89q8uTJVruPP/5Yffv2VWBgYInPBVRkXsYY4+lOAAAAALeiYcOG6eDBg06vZcrIyFDz5s317bff6vbbb/dg727u7NmzatKkiXbv3q2YmBhPdwcoE8wwAwAAAOVk1qxZ2rt3r9LS0jRv3jx98MEHGjBggFObyMhI/eMf/9CJEyc81MuiOXbsmBYuXEixjCqNGWYAxdajRw+nX8J/b9KkSZo0aVI59wgAgMrhz3/+szZv3qxz586pfv36evHFFzVixAiP9CUoKKjAbWvXrtU999xTjr0BKiYKZgDFlp6erosXL7rcFh4ervDw8HLuEQAAKK6bvfaxbt26CggIKMfeABUTBTMAAAAAAC5wDzMAAAAAAC5QMAMAAAAA4AIFMwAAAAAALlAwAwAAAADgAgUzAAAAAAAuUDADAAAAAOACBTMAAAAAAC5QMAMAAAAA4ML/ATlkTEluYjO2AAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_heavy_tail(duration, \"donut\", \"duration\")"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Area Empirical Distribution"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "4187de4ffc1abc64"
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "18a64a1794ba610b",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:42.901991900Z",
     "start_time": "2023-11-12T11:56:42.333788300Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                      y   R-squared:                       0.924\n",
      "Model:                            OLS   Adj. R-squared:                  0.923\n",
      "Method:                 Least Squares   F-statistic:                     3554.\n",
      "Date:                Sun, 12 Nov 2023   Prob (F-statistic):          3.23e-166\n",
      "Time:                        22:56:42   Log-Likelihood:                 399.09\n",
      "No. Observations:                 296   AIC:                            -794.2\n",
      "Df Residuals:                     294   BIC:                            -786.8\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -1.4778      0.017    -88.634      0.000      -1.511      -1.445\n",
      "x1             0.1979      0.003     59.612      0.000       0.191       0.204\n",
      "==============================================================================\n",
      "Omnibus:                      327.891   Durbin-Watson:                   0.138\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):            25094.408\n",
      "Skew:                          -4.504   Prob(JB):                         0.00\n",
      "Kurtosis:                      47.199   Cond. No.                         23.7\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 980x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_heavy_tail(area, \"donut\", \"area\")"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    " ## Other Investigations"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "5ccb45e64a9c5a0f"
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Avalanche Sand Lost"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "a22e3244c32b9145"
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(loss)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-11-12T11:56:43.118344200Z",
     "start_time": "2023-11-12T11:56:42.903991400Z"
    }
   },
   "id": "7fce1df81f265963"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}