04_worldview.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Political Alignment and Other Views"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "This is the fourth in a series of notebooks that make up a [case study in exploratory data analysis](https://allendowney.github.io/PoliticalAlignmentCaseStudy/).\n",
    "This case study is part of the [*Elements of Data Science*](https://allendowney.github.io/ElementsOfDataScience/) curriculum.\n",
    "\n",
    "This notebook is a template for a do-it-yourself, choose-your-own-adventure mini-project that explores the relationship between political alignment and other attitudes and beliefs.\n",
    "\n",
    "I will outline the steps and provide sample code.  You can choose which survey question to explore, adapt my code for your data, and write a report presenting the results.\n",
    "\n",
    "As an example, I wrote up [the results from this notebook in a blog article](https://www.allendowney.com/blog/2019/12/03/political-alignment-and-beliefs-about-homosexuality/)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In previous notebooks, we looked at changes in political alignment over time, and explored the relationship between political alignment and survey questions related to \"outlook\".\n",
    "\n",
    "The analysis in this notebook follows the steps we have seen:\n",
    "\n",
    "1) For your variable of interest, you will read the code book to understand the question and valid responses.\n",
    "\n",
    "2) You will compute and display the distribution (PMF) of responses and the distribution within each political group.\n",
    "\n",
    "3) You will recode the variable on a numerical scale that makes it possible to interpret the mean, and then plot the mean over time.\n",
    "\n",
    "4) You will use a pivot table to compute the mean of your variable over time for each political alignment group (liberal, moderate, and conservative).\n",
    "\n",
    "5) Finally, you will look at results from three resamplings of the data to see whether the patterns you observed might be due to random sampling."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following cell installs the `empiricaldist` library if necessary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    import empiricaldist\n",
    "except ImportError:\n",
    "    !pip install empiricaldist"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If everything we need is installed, the following cell should run without error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "from empiricaldist import Pmf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following cells define functions from previous notebooks we will use again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def decorate(**options):\n",
    "    \"\"\"Decorate the current axes.\n",
    "    Call decorate with keyword arguments like\n",
    "    decorate(title='Title',\n",
    "             xlabel='x',\n",
    "             ylabel='y')\n",
    "    The keyword arguments can be any of the axis properties\n",
    "    https://matplotlib.org/api/axes_api.html\n",
    "    \"\"\"\n",
    "    ax = plt.gca()\n",
    "    ax.set(**options)\n",
    "    handles, labels = ax.get_legend_handles_labels()\n",
    "    if handles:\n",
    "        plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
    "\n",
    "\n",
    "def make_lowess(series):\n",
    "    \"\"\"Use LOWESS to compute a smooth line.\n",
    "\n",
    "    series: pd.Series\n",
    "\n",
    "    returns: pd.Series\n",
    "    \"\"\"\n",
    "    y = series.values\n",
    "    x = series.index.values\n",
    "\n",
    "    smooth = lowess(y, x)\n",
    "    index, data = np.transpose(smooth)\n",
    "\n",
    "    return pd.Series(data, index=index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_series_lowess(series, color):\n",
    "    \"\"\"Plots a series of data points and a smooth line.\n",
    "\n",
    "    series: pd.Series\n",
    "    color: string or tuple\n",
    "    \"\"\"\n",
    "    series.plot(linewidth=0, marker=\"o\", color=color, alpha=0.5)\n",
    "    smooth = make_lowess(series)\n",
    "    smooth.plot(label=\"_\", color=color)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_columns_lowess(table, columns, color_map):\n",
    "    \"\"\"Plot the columns in a DataFrame.\n",
    "\n",
    "    table: DataFrame with a cross tabulation\n",
    "    columns: list of column names, in the desired order\n",
    "    color_map: mapping from column names to color_map\n",
    "    \"\"\"\n",
    "    for col in columns:\n",
    "        series = table[col]\n",
    "        plot_series_lowess(series, color_map[col])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading the data\n",
    "\n",
    "In the first notebook, we downloaded GSS data, loaded and cleaned it, resampled it to correct for stratified sampling, and then saved the data in an HDF5 file, which is much faster to load.\n",
    "\n",
    "The following cells downloads the file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from os.path import basename, exists\n",
    "\n",
    "\n",
    "def download(url):\n",
    "    filename = basename(url)\n",
    "    if not exists(filename):\n",
    "        from urllib.request import urlretrieve\n",
    "\n",
    "        local, _ = urlretrieve(url, filename)\n",
    "        print(\"Downloaded \" + local)\n",
    "\n",
    "\n",
    "download(\n",
    "    \"https://github.com/AllenDowney/PoliticalAlignmentCaseStudy/raw/master/gss_pacs_resampled.hdf\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I'll load the first resampled `DataFrame`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(68846, 204)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "datafile = \"gss_pacs_resampled.hdf\"\n",
    "gss = pd.read_hdf(datafile, \"gss0\")\n",
    "gss.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>year</th>\n",
       "      <th>id</th>\n",
       "      <th>divorce</th>\n",
       "      <th>sibs</th>\n",
       "      <th>childs</th>\n",
       "      <th>age</th>\n",
       "      <th>educ</th>\n",
       "      <th>degree</th>\n",
       "      <th>sex</th>\n",
       "      <th>race</th>\n",
       "      <th>...</th>\n",
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       "      <td>1972</td>\n",
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       "      <td>1972</td>\n",
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       "      <td>72.0</td>\n",
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       "      <td>2.0</td>\n",
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       "      <td>0.8893</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2707.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>3704.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1972</td>\n",
       "      <td>904</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>19.0</td>\n",
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       "      <td>1.0</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>1972</td>\n",
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       "      <td>3.0</td>\n",
       "      <td>44.0</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "<p>5 rows × 204 columns</p>\n",
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      "text/plain": [
       "   year    id  divorce  sibs  childs   age  educ  degree  sex  race  ...  \\\n",
       "0  1972   910      2.0   7.0     0.0  60.0  12.0     1.0  1.0   2.0  ...   \n",
       "1  1972  1181      2.0   4.0     0.0  53.0   6.0     0.0  2.0   1.0  ...   \n",
       "2  1972  1003      2.0   5.0     0.0  72.0   8.0     0.0  2.0   2.0  ...   \n",
       "3  1972   904      NaN   5.0     0.0  19.0  11.0     0.0  1.0   1.0  ...   \n",
       "4  1972   708      2.0   7.0     3.0  44.0  14.0     1.0  2.0   1.0  ...   \n",
       "\n",
       "   ballot  wtssall  sexbirth  sexnow  eqwlth  realinc  realrinc   coninc  \\\n",
       "0     NaN   0.8893       NaN     NaN     NaN  30458.0       NaN  41667.0   \n",
       "1     NaN   1.7786       NaN     NaN     NaN  24366.0       NaN  33333.0   \n",
       "2     NaN   0.8893       NaN     NaN     NaN   2707.0       NaN   3704.0   \n",
       "3     NaN   1.7786       NaN     NaN     NaN  37226.0       NaN  50926.0   \n",
       "4     NaN   0.8893       NaN     NaN     NaN  43994.0       NaN  60185.0   \n",
       "\n",
       "   conrinc  commun  \n",
       "0      NaN     NaN  \n",
       "1      NaN     NaN  \n",
       "2      NaN     NaN  \n",
       "3      NaN     NaN  \n",
       "4      NaN     NaN  \n",
       "\n",
       "[5 rows x 204 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gss.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Changes in social attitudes\n",
    "\n",
    "The General Social Survey includes questions about a variety of social attitudes and beliefs.  We can use this dataset to explore changes in the responses over time and the relationship with political alignment.\n",
    "\n",
    "In my subset of the GSS data, I selected questions that were asked repeatedly over the interval of the survey.\n",
    "\n",
    "To follow the process demonstrated in this notebook, you should choose a variable that you think might be interesting.\n",
    "\n",
    "If you are not sure which variable to explore, here is a [random selection of three that you can choose from](https://en.wikipedia.org/wiki/The_Paradox_of_Choice):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sexornt\n",
      "helpful\n",
      "wtssall\n"
     ]
    }
   ],
   "source": [
    "cols = list(gss.columns)\n",
    "for col in [\"id\", \"year\", \"ballot\", \"age\", \"sex\", \"race\"]:\n",
    "    cols.remove(col)\n",
    "\n",
    "np.random.shuffle(cols)\n",
    "for col in cols[:3]:\n",
    "    print(col)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Fill in the name of the variable you chose below, and select a column.\n",
    "\n",
    "The variable I'll use as an example is `homosex`, which contains responses to this question (see <https://gssdataexplorer.norc.org/variables/634/vshow>):\n",
    "\n",
    "> What about sexual relations between two adults of the same sex--do you think it is always wrong, almost always wrong, wrong only sometimes, or not wrong at all?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "68841    1.0\n",
       "68842    NaN\n",
       "68843    NaN\n",
       "68844    4.0\n",
       "68845    4.0\n",
       "Name: homosex, dtype: float64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "varname = \"homosex\"\n",
    "column = gss[varname]\n",
    "column.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Responses\n",
    "\n",
    "Here's the distribution of responses:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0    24228\n",
       "2.0     1785\n",
       "3.0     2770\n",
       "4.0    11524\n",
       "5.0       94\n",
       "NaN    28445\n",
       "Name: homosex, dtype: int64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "column.value_counts(dropna=False).sort_index()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Use this link to read the codebook](https://gss.norc.org/Documents/codebook/GSS%202021%20Codebook%20R1.pdf) for the variable you chose.\n",
    "\n",
    "Then fill in the following cell with the responses and their labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "responses = [1, 2, 3, 4, 5]\n",
    "\n",
    "labels = [\n",
    "    \"Always wrong\",\n",
    "    \"Almost always wrong\",\n",
    "    \"Sometimes wrong\",\n",
    "    \"Not at all wrong\",\n",
    "    \"Other\",\n",
    "]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here's what the distribution looks like. I use `plt.xticks` to label the x-axis and rotate the labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pmf = Pmf.from_seq(column)\n",
    "pmf.bar(alpha=0.7)\n",
    "\n",
    "decorate(xlabel=\"Response\", ylabel=\"PMF\", title=\"Distribution of responses\")\n",
    "\n",
    "plt.xticks(responses, labels, rotation=30)\n",
    "None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Remember that these results are an average over the entire interval of the survey, so you should not interpret it as a current condition."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Responses over time\n",
    "\n",
    "If we make a cross tabulation of `year` and the variable of interest, we get the distribution of responses over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [],
   "source": [
    "xtab = pd.crosstab(gss[\"year\"], column, normalize=\"index\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>homosex</th>\n",
       "      <th>1.0</th>\n",
       "      <th>2.0</th>\n",
       "      <th>3.0</th>\n",
       "      <th>4.0</th>\n",
       "      <th>5.0</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>year</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1973</th>\n",
       "      <td>0.724066</td>\n",
       "      <td>0.057400</td>\n",
       "      <td>0.082988</td>\n",
       "      <td>0.112725</td>\n",
       "      <td>0.022822</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1974</th>\n",
       "      <td>0.709972</td>\n",
       "      <td>0.047051</td>\n",
       "      <td>0.073736</td>\n",
       "      <td>0.126404</td>\n",
       "      <td>0.042837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1976</th>\n",
       "      <td>0.679806</td>\n",
       "      <td>0.057400</td>\n",
       "      <td>0.089212</td>\n",
       "      <td>0.173582</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1977</th>\n",
       "      <td>0.729767</td>\n",
       "      <td>0.062414</td>\n",
       "      <td>0.071331</td>\n",
       "      <td>0.136488</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980</th>\n",
       "      <td>0.725772</td>\n",
       "      <td>0.055994</td>\n",
       "      <td>0.058148</td>\n",
       "      <td>0.160086</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "homosex       1.0       2.0       3.0       4.0       5.0\n",
       "year                                                     \n",
       "1973     0.724066  0.057400  0.082988  0.112725  0.022822\n",
       "1974     0.709972  0.047051  0.073736  0.126404  0.042837\n",
       "1976     0.679806  0.057400  0.089212  0.173582  0.000000\n",
       "1977     0.729767  0.062414  0.071331  0.136488  0.000000\n",
       "1980     0.725772  0.055994  0.058148  0.160086  0.000000"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xtab.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>homosex</th>\n",
       "      <th>1.0</th>\n",
       "      <th>2.0</th>\n",
       "      <th>3.0</th>\n",
       "      <th>4.0</th>\n",
       "      <th>5.0</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>year</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012</th>\n",
       "      <td>0.449878</td>\n",
       "      <td>0.029340</td>\n",
       "      <td>0.075795</td>\n",
       "      <td>0.444988</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014</th>\n",
       "      <td>0.388069</td>\n",
       "      <td>0.029520</td>\n",
       "      <td>0.077491</td>\n",
       "      <td>0.504920</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016</th>\n",
       "      <td>0.379444</td>\n",
       "      <td>0.036667</td>\n",
       "      <td>0.075000</td>\n",
       "      <td>0.508889</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018</th>\n",
       "      <td>0.332471</td>\n",
       "      <td>0.034282</td>\n",
       "      <td>0.057568</td>\n",
       "      <td>0.575679</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021</th>\n",
       "      <td>0.259203</td>\n",
       "      <td>0.040607</td>\n",
       "      <td>0.069829</td>\n",
       "      <td>0.630361</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "homosex       1.0       2.0       3.0       4.0  5.0\n",
       "year                                                \n",
       "2012     0.449878  0.029340  0.075795  0.444988  0.0\n",
       "2014     0.388069  0.029520  0.077491  0.504920  0.0\n",
       "2016     0.379444  0.036667  0.075000  0.508889  0.0\n",
       "2018     0.332471  0.034282  0.057568  0.575679  0.0\n",
       "2021     0.259203  0.040607  0.069829  0.630361  0.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xtab.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can plot the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for response, label in zip(responses, labels):\n",
    "    xtab[response].plot(label=label)\n",
    "\n",
    "decorate(xlabel=\"Year\", ylabel=\"Percentage\", title=\"Attitudes about same-sex relations\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This visualization is useful for exploring the data, but I would not present this version to an audience."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Political alignment\n",
    "\n",
    "To explore the relationship between this variable and political alignment, I'll recode political alignment into three groups:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "d_polviews = {\n",
    "    1: \"Liberal\",\n",
    "    2: \"Liberal\",\n",
    "    3: \"Liberal\",\n",
    "    4: \"Moderate\",\n",
    "    5: \"Conservative\",\n",
    "    6: \"Conservative\",\n",
    "    7: \"Conservative\",\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I'll use `replace` and store the result as a new column in the DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "gss[\"polviews3\"] = gss[\"polviews\"].replace(d_polviews)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this scale, there are roughly the same number of people in each group."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Moderate        22950\n",
       "Conservative    20359\n",
       "Liberal         16195\n",
       "NaN              9342\n",
       "Name: polviews3, dtype: int64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gss[\"polviews3\"].value_counts(dropna=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pmf = Pmf.from_seq(gss[\"polviews3\"])\n",
    "pmf.bar(color=\"C1\", alpha=0.7)\n",
    "\n",
    "decorate(\n",
    "    xlabel=\"Political alignment\",\n",
    "    ylabel=\"PMF\",\n",
    "    title=\"Distribution of political alignment\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Group by political alignment\n",
    "\n",
    "Now we can use `groupby` to group the respondents by political alignment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<pandas.core.groupby.generic.DataFrameGroupBy object at 0x7f3592777460>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "by_polviews = gss.groupby(\"polviews3\")\n",
    "by_polviews"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next I will plot the distribution of responses in each group.\n",
    "\n",
    "But first I'll make a dictionary that maps from each group to a color."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "muted = sns.color_palette(\"muted\", 5)\n",
    "sns.palplot(muted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "color_map = {\"Conservative\": muted[3], \"Moderate\": muted[4], \"Liberal\": muted[0]}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I'll make a PMF of responses for each group."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for name, group in by_polviews:\n",
    "    plt.figure()\n",
    "    pmf = Pmf.from_seq(group[varname])\n",
    "    pmf.bar(label=name, color=color_map[name], alpha=0.7)\n",
    "\n",
    "    decorate(xlabel=\"Response\", ylabel=\"PMF\", title=\"Distribution of responses\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But again, these results are an average over the interval of the survey, so you should not interpret them as a current condition."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Recode\n",
    "\n",
    "For each group, we could compute the mean of the responses, but it would be hard to interpret. So we'll recode the variable of interest to make the mean more... meaningful.\n",
    "\n",
    "For the variable I chose, a majority of respondents chose \"always wrong\".  I'll use that as my baseline response with code 1, and lump the other responses with code 0.\n",
    "\n",
    "We can use `replace` to recode the values and store the result as a new column in the DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [],
   "source": [
    "d_recode = {1: 1, 2: 0, 3: 0, 4: 0, 5: 0}\n",
    "\n",
    "gss[\"recoded\"] = column.replace(d_recode)\n",
    "gss[\"recoded\"].name = varname"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we'll use `value_counts` to check whether it worked."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NaN    28445\n",
       "1.0    24228\n",
       "0.0    16173\n",
       "Name: homosex, dtype: int64"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gss[\"recoded\"].value_counts(dropna=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we compute the mean, we can interpret it as \"the fraction of respondents who think same-sex sexual relations are always wrong\".\n",
    "\n",
    "NOTE: `Series.mean` drops NaN values before computing the mean."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5996881265315215"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gss[\"recoded\"].mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Average by group\n",
    "\n",
    "\n",
    "\n",
    "Now we can compute the mean of the recoded variable in each group."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "polviews3\n",
       "Conservative    0.720455\n",
       "Liberal         0.406851\n",
       "Moderate        0.601922\n",
       "Name: homosex, dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "means = by_polviews[\"recoded\"].mean()\n",
    "means"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get the values in a particular order, we can use the group names as an index:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "polviews3\n",
       "Conservative    0.720455\n",
       "Moderate        0.601922\n",
       "Liberal         0.406851\n",
       "Name: homosex, dtype: float64"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "names = [\"Conservative\", \"Moderate\", \"Liberal\"]\n",
    "means[names]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can make a bar plot with color-coded bars:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = color_map.values()\n",
    "\n",
    "means[names].plot(kind=\"bar\", color=colors, alpha=0.7, label=\"\")\n",
    "\n",
    "decorate(\n",
    "    xlabel=\"Political alignment\",\n",
    "    ylabel=\"Fraction saying yes\",\n",
    "    title=\"Are same-sex sexual relations always wrong?\",\n",
    ")\n",
    "\n",
    "plt.xticks(rotation=0)\n",
    "None"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we might expect, more conservatives think homosexuality is \"always wrong\", compared to moderates and liberals."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time series\n",
    "\n",
    "We can use `groupby` to group responses by year."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [],
   "source": [
    "by_year = gss.groupby(\"year\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the result we can select the recoded variable and compute the mean."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [],
   "source": [
    "time_series = by_year[\"recoded\"].mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we can plot the results with the data points themselves as circles and a local regression model as a line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_series_lowess(time_series, \"C1\")\n",
    "\n",
    "decorate(\n",
    "    xlabel=\"Year\",\n",
    "    ylabel=\"Fraction saying yes\",\n",
    "    title=\"Are same-sex sexual relations always wrong?\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fraction of respondents who think homosexuality is wrong has been falling steeply since about 1990."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time series by group\n",
    "\n",
    "So far, we have grouped by `polviews3` and computed the mean of the variable of interest in each group.\n",
    "\n",
    "Then we grouped by `year` and computed the mean for each year.\n",
    "\n",
    "Now we'll use `pivot_table` to compute the mean in each group for each year."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [],
   "source": [
    "table = gss.pivot_table(\n",
    "    values=\"recoded\", index=\"year\", columns=\"polviews3\", aggfunc=\"mean\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "tags": [
     "fill-in"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>polviews3</th>\n",
       "      <th>Conservative</th>\n",
       "      <th>Liberal</th>\n",
       "      <th>Moderate</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>year</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1974</th>\n",
       "      <td>0.795620</td>\n",
       "      <td>0.546512</td>\n",
       "      <td>0.767892</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1976</th>\n",
       "      <td>0.775000</td>\n",
       "      <td>0.489848</td>\n",
       "      <td>0.716698</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1977</th>\n",
       "      <td>0.823666</td>\n",
       "      <td>0.564165</td>\n",
       "      <td>0.769772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980</th>\n",
       "      <td>0.834906</td>\n",
       "      <td>0.539130</td>\n",
       "      <td>0.740171</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1982</th>\n",
       "      <td>0.801126</td>\n",
       "      <td>0.599198</td>\n",
       "      <td>0.811820</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "polviews3  Conservative   Liberal  Moderate\n",
       "year                                       \n",
       "1974           0.795620  0.546512  0.767892\n",
       "1976           0.775000  0.489848  0.716698\n",
       "1977           0.823666  0.564165  0.769772\n",
       "1980           0.834906  0.539130  0.740171\n",
       "1982           0.801126  0.599198  0.811820"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "table.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result is a table that has years running down the rows and political alignment running across the columns.\n",
    "\n",
    "Each entry in the table is the mean of the variable of interest for a given group in a given year."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting the results\n",
    "\n",
    "Now we can use `plot_columns_lowess` to see the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "columns = [\"Conservative\", \"Moderate\", \"Liberal\"]\n",
    "plot_columns_lowess(table, columns, color_map)\n",
    "\n",
    "decorate(\n",
    "    xlabel=\"Year\",\n",
    "    ylabel=\"Fraction saying yes\",\n",
    "    title=\"Are same-sex sexual relations always wrong?\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Negative attitudes about homosexuality have been declining in all three groups, starting at about the same time, and at almost the same rate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Resampling\n",
    "\n",
    "The figures we have generated so far in this notebook are based on a single resampling of the GSS data.  Some of the features we see in these figures might be due to random sampling rather than actual changes in the world.\n",
    "\n",
    "By generating the same figures with different resampled datasets, we can get a sense of how much variation there is due to random sampling.\n",
    "\n",
    "To make that easier, the following function contains the code from the previous analysis all in one place.\n",
    "\n",
    "You will probably have to update this function with any changes you made in my code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_by_polviews(gss, varname):\n",
    "    \"\"\"Plot mean response by polviews and year.\n",
    "\n",
    "    gss: DataFrame\n",
    "    varname: string column name\n",
    "    \"\"\"\n",
    "    gss[\"polviews3\"] = gss[\"polviews\"].replace(d_polviews)\n",
    "\n",
    "    column = gss[varname]\n",
    "    gss[\"recoded\"] = column.replace(d_recode)\n",
    "\n",
    "    table = gss.pivot_table(\n",
    "        values=\"recoded\", index=\"year\", columns=\"polviews3\", aggfunc=\"mean\"\n",
    "    )\n",
    "\n",
    "    columns = [\"Conservative\", \"Moderate\", \"Liberal\"]\n",
    "    plot_columns_lowess(table, columns, color_map)\n",
    "\n",
    "    decorate(\n",
    "        xlabel=\"Year\",\n",
    "        ylabel=\"Fraction saying yes\",\n",
    "        title=\"Are same-sex relations always wrong?\",\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can loop through the three resampled datasets and generate a figure for each one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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a901MTKwRNsHznHXv3t0b3Ko19Tmt3r9bt2612l7XNoAtW7Zw/PhxnnvuOaKjoy/yyKWW1LCPaJLUBN988w05OTl8+OGHfPjhh7VuX7x4MZMnT66x7fxPt+D5Aw3wyCOPMGXKlDrPc7E/QACxsbHs3r2bVatWsWLFClasWMFbb73FrFmzvAMQn3/+eZ544gnuuusunn32WSIjI1Gr1fzmN7/xnv98Go2mznNdbLs4O2hSURTvgM+69q3+1Pj3v/+defPmebd37tzZOzjy448/ZuvWrXzxxResWrWKu+66i3/84x9s3boVk8mEoijExsZedEba+b1i4Pn0Wv1JfN++fXXe52Iu9lz9/Oc/584776zzPgMGDLjo8W655RY2b97Mo48+ysCBA72P56qrrqrzefCHSz2HAP/4xz+YPXs2y5cvZ/Xq1Tz00EPMnz+frVu30rFjxzrv73a7mTRpEsXFxfz+97+nV69ehISEcObMGWbPnn3Jxzdq1Cj+/Oc/Y7PZ2LhxI3/84x8JDw+nX79+bNy4kbi4OIAa4aYxr+tZs2axYMECPvvsM2677Tb+97//cc0113iDO8CYMWM4fvy493G/+eabvPDCC7z66qvcc889F217QkICKSkpfPfddyQnJyOEYPjw4cTExPDwww+TmZnJxo0bGTFiRK3AcuFrrCka8pw2VvUg9w4dOjT5GJJ/yXAj+c3ixYuJjY3llVdeqXXbp59+yrJly3j11Vfr/QPWpUsXwNPtPHHixCa1Q6/XM336dKZPn46iKPz617/mtdde44knnqBbt258/PHHjB8/nv/85z817ldaWurTT2Vdu3ZFCEFKSgo9evS46H6zZs2qcRnlwt/PsGHDGDZsGH/+85/53//+x89+9jM+/PBD7rnnHrp27cratWsZOXLkJd8YFEVh9uzZhIWF8Zvf/Ibnn3+em266iRtuuKFJjy8mJobQ0FDcbnejn6uSkhLWrVvHvHnzePLJJ73b67oE0pjqvZ07d/ZeDjnfoUOHvLc3Rf/+/enfvz9/+tOf2Lx5MyNHjuTVV1/lueeeq3P/ffv2ceTIEd555x1mzZrl3V7f5dLzjR49GofDwQcffMCZM2e8Iaa69yMuLo4ePXp4Qw7QqNd1v379GDRoEIsXL6Zjx46cOnWKl156qVY7IiMjmTNnDnPmzKGyspIxY8bw9NNP1xtuqtv/3XffkZKSwsCBAwkNDSU1NRWz2czKlSvZuXNnjUBfn86dO7N3714URakRhpr6nFbvX1f9rYvV5OratSv3338/iYmJjTqX1HzkZSnJL6xWK59++inXXHMNN910U62vBx54gIqKiktO546NjWXcuHG89tpr5OTk1Lq9+pLNxZw/jRg8XfDVvQfVl3M0Gk2tT3EfffRRvWN5muKGG25Ao9Ewb968WucTQnjb2qVLFyZOnOj9GjlyJOAJABfeb+DAgTUeyy233ILb7ebZZ5+tdX6Xy1Wj8N3ChQvZvHkzr7/+Os8++ywjRozgvvvuo7CwsEmPT6PRcOONN/LJJ5+wf//+WrfX91xVf7q+8PEtWrSo1r7V4xsaUqF42rRpbN++nS1btni3WSwWXn/9dZKTkxt1GQ48FWovnPLbv39/1Gp1ndP+q9X1+IQQNUoS1Cc9PR2dTsdf//pXIiMj6du3L+AJDVu3bmXDhg21xqs09nV9xx13sHr1ahYtWkRUVBRTp06tcfuF/5dMJhPdunWr93FXGz16NCdPnmTJkiXedqrVakaMGMHChQtxOp212n8x06ZNIzc3lyVLlni3uVwuXnrpJUwmk/dSX0MlJCTQr18/3n33XSorK73bN2zYcNHezJSUFB544AEZbgKY7LmR/OLzzz+noqKCGTNm1Hn7sGHDvAX9Zs6cWe+xXnnlFUaNGkX//v2599576dKlC3l5eWzZsoXTp0/XW5Plnnvuobi4mCuvvJKOHTuSmZnJSy+9xMCBA73X6K+55hqeeeYZ5syZw4gRI9i3bx+LFy/29hr5SteuXXnuued4/PHHOXnyJNdddx2hoaFkZGSwbNkyfvGLX/DII49c9P7vvPMO//rXv7j++uvp2rUrFRUVvPHGG4SFhTFt2jTAMy7nl7/8JfPnz2f37t1MnjwZnU7H0aNH+eijj3jxxRe56aab+Omnn3jiiSeYPXs206dPB+Dtt99m4MCB/PrXv2bp0qVNeox/+ctfWL9+Penp6dx777306dOH4uJidu7cydq1aykuLq7zfmFhYYwZM4a//e1vOJ1OEhMTWb16NRkZGbX2TUtLA+CPf/wjt956KzqdjunTp9c5qPOxxx7jgw8+YOrUqTz00ENERkbyzjvvkJGRwSeffFLrMsilfPPNNzzwwAPcfPPN9OjRA5fLxXvvvecNdhfTq1cvunbtyiOPPMKZM2cICwvjk08+qVF7qD7BwcGkpaWxdetWb40b8PTcWCwWLBZLrXDQ2Nf17bffzu9+9zuWLVvGfffdV6sYYp8+fRg3bhxpaWlERkby448/8vHHH/PAAw9csv3VbTt8+DDPP/+8d/uYMWNYsWKFt/5MQ/ziF7/gtddeY/bs2ezYsYPk5GQ+/vhjNm3axKJFiwgNDW3Qcc73/PPPc+211zJy5EjmzJlDSUkJL7/8Mv369asReKotW7aMOXPmsH79esaNG9fo80nNoFnnZkntxvTp04XRaBQWi+Wi+8yePVvodDpRWFjonba5YMGCOvc9fvy4mDVrloiPjxc6nU4kJiaKa665Rnz88cf1tuPjjz8WkydPFrGxsUKv14tOnTqJX/7ylyInJ8e7j81mE7/97W9Fhw4dRFBQkBg5cqTYsmWLGDt2bI2psNXThS+cBvzWW2/VOUW7ekpvQUFBje2ffPKJGDVqlAgJCREhISGiV69e4v777xeHDx+u97Hs3LlT3HbbbaJTp07CYDCI2NhYcc0114gff/yx1r6vv/66SEtLE0FBQSI0NFT0799f/O53vxPZ2dnC5XKJIUOGiI4dO4rS0tIa96ue+rxkyZJ62wKI+++/v87b8vLyxP333y+SkpKETqcT8fHxYsKECeL111/37lPXVPDTp0+L66+/XoSHhwuz2SxuvvlmkZ2dLQDx1FNP1TjHs88+KxITE731UqqnhV84FVwIz2vnpptuEuHh4cJoNIqhQ4eKL7/8ssY+F3tuL2zniRMnxF133SW6du0qjEajiIyMFOPHjxdr166t9/clhBAHDx4UEydOFCaTSURHR4t7771X7Nmzp9bv4cKp4NUeffRRAYi//vWvNbZ369ZNAOL48eM1tjf0dX2+adOmCUBs3ry51m3PPfecGDp0qAgPDxdBQUGiV69e4s9//nONsgj1iY2NFYDIy8vzbvv+++8FIEaPHl1r/7Fjx4q+ffvWeay8vDwxZ84cER0dLfR6vejfv3+N36EQot6/KXW9pj788EPRq1cvYTAYRL9+/cTnn38ubrzxRtGrV69a96/+P79+/fpLP3CpRaiEuIxRVZIkSVKbcf3117Nv3z65/ttZAwcOJCYmpsFjo6TAIcfcSJIkSeTk5PDVV19xxx13tHRTmp3T6aw1lurbb79lz5498rJTKyV7biRJktqxjIwMNm3axJtvvskPP/zA8ePHa6zx1B6cPHmSiRMn8vOf/5yEhAQOHTrEq6++itlsZv/+/URFRbV0E6VGkgOKJUmS2rENGzYwZ84cOnXqxDvvvNPugg14CvulpaXx5ptvUlBQQEhICFdffTV/+ctfZLBppWTPjSRJkiRJbYoccyNJkiRJUpsiw40kSZIkSW1KuxtzoygK2dnZhIaGNqqMuyRJkiRJLUcIQUVFBQkJCZcswNnuwk12dnat1ZslSZIkSWodsrKyLrpIbbV2F26qS3NnZWURFhbWwq2RJEmSJKkhysvLSUpKatASG+0u3FRfigoLC5PhRpIkSZJamYYMKZEDiiVJkiRJalNkuJEkSZIkqU1p8XDzyiuvkJycjNFoJD09ne3bt190X6fTyTPPPEPXrl0xGo2kpqaycuXKZmytJEmSJEmBrkXDzZIlS5g7dy5PPfUUO3fuJDU1lSlTppCfn1/n/n/605947bXXeOmllzh48CC/+tWvuP7669m1a1czt1ySJEmSpEDVossvpKenM2TIEF5++WXAU4MmKSmJBx98kMcee6zW/gkJCfzxj3/k/vvv92678cYbCQoK4v3332/QOcvLyzGbzZSVlckBxZIkSZLUSjTm/bvFem4cDgc7duxg4sSJ5xqjVjNx4kS2bNlS533sdjtGo7HGtqCgIL7//vuLnsdut1NeXl7jS5IkSZKktqvFwk1hYSFut5u4uLga2+Pi4sjNza3zPlOmTGHhwoUcPXoURVFYs2YNn376KTk5ORc9z/z58zGbzd4vWcBPkiRJktq2Fh9Q3Bgvvvgi3bt3p1evXuj1eh544AHmzJlTbxnmxx9/nLKyMu9XVlZWM7ZYkiRJkqTm1mLhJjo6Go1GQ15eXo3teXl5xMfH13mfmJgYPvvsMywWC5mZmRw6dAiTyUSXLl0ueh6DweAt2CcL90mSJElS29di4Uav15OWlsa6deu82xRFYd26dQwfPrze+xqNRhITE3G5XHzyySdce+21/m6uJLU4oSg4CgqwZWXhKChAKEpLN0mSJCkgtejyC3PnzuXOO+/kiiuuYOjQoSxatAiLxcKcOXMAmDVrFomJicyfPx+Abdu2cebMGQYOHMiZM2d4+umnURSF3/3udy35MCTJ7+zZ2VTs2IE9JwfhdKLS6TB06EBoWhqGhISWbp4kSVJAadFwM3PmTAoKCnjyySfJzc1l4MCBrFy50jvI+NSpUzXG09hsNv70pz9x4sQJTCYT06ZN47333iM8PLyFHoEk+Z89O5vi1atxV1aijYxEbTCg2O3YMjNxFhUROXmyDDiSJEnnadE6Ny1B1rmRWhOhKBR99RW2zEz0CQk1FowTQuDIzsaYnEzUtGmo6hlYL0mS1Nq1ijo3kiRdmrOoCHtODtrIyFor4apUKrSRkdizs3EWFbVQCyVJkgKPDDeSFMAUmw3hdKI2GOq8Xa3XI5xOFJutmVsmSZIUuGS4kaQApjYaUel0KHZ7nbcrDgcqnQ71BZW7JUmS2jMZbiQpgOmiojB06ICruJgLh8cJIXAVF2NISEAXFdVCLZQkSQo8MtxIUgBTqdWEpqWhMZlwZGfjtloRbjduqxVHdjaa0FBCBw+Wg4klSZLO06JTwSVJujRDQgKRkyd769y4zta5MSYnEzp4sJwGLkmSdAEZbiSpFTAkJKCPj8dZVIRis6E2GtFFRckeG0mSpDrIcCNJrYRKrUYfE9PSzZAkSQp48mOfJEmSJEltiuy5kdoNoSgBe1knkNsmSZLU2shwI7ULgbzwZCC3TZIkqTWS4UZq8wJ54clAbpskSVJrJfu9pTZNKAoVO3bgrqxEn5CAJigIlVqNJigIfUIC7spKKnbuRCiKbJskSVIbIcON1Kb5c+FJoSg4CgqwZWXhKChodAiRi2JKkiT5h7wsJbVpDVl40tWEhSd9MU7GX22TJElq72S4kRqsNc7oOX/hSU1QUK3bm7LwpK/GyfijbZIkSZIMN1IDtdYZPdULT9oyM1EnJNS4/FO98KQxObnBC09eOE6m+niaoCDUCQk4srOp2LkTfXw8KrW63kDo67ZJkiRJHjLcSJfUmmf0VC886SwqwpGd7Wm/Xo/icOAqLm70wpONGScjnM56A6Gv2yZJkiR5yHAj1auxPRWByJcLTzZ0nIzt1Cks+/ZdMhDKRTElSZJ8T4YbqV6N6akI5HWPfLXwZEPGyaDVUnX0aIMDoa8XxWyNY6MkSZJ8SYabVqw53sTa0oweXyw82ZBxMrqYGFylpY0KhL5aFLO1jo2SJEnyJRluWqnmehOTM3pqasg4meDu3SnbsqXZA2FrHhslSZLkS7KvuhWqfhOzZWaiMZnQx8ejMZmwZWZSvHo19uxsn52ruqfCVVyMEKLGbdU9FYaEhHY1o6d6nIyxc2fclZU48vJwV1ZiTE4mctIkDElJ3kAoBFisUFapwmIFIfwTCGW1Y0mSpHNkz00r09wDfOWMnrrVN05GKAqGDh0oOJJNviqEiioVigJqNYQGC2JFBTE9E30aCNvK2ChJkiRfkOGmlWmJNzE5o6duFxsno1KrcXfuS8ZOG3abjWCTFl2QBqfDTXGBC0tQFJGd+vg0ELalsVGSJEmXS4abVqal3sR8PaMHQCiCihIrTrsLnUFLaEQQKrXq0nds6PFdLhS7vcaXqP7e4UA4HJ5/nU7Pbef/e/7tDgeK01nz5/O2I4Tnq/q8QKa2J5WacEKUctxF4FarURsMmMLCsZsSOZ2jENtP+OzxtvTYKDlDS5KkQCLDTSvTkm9ivprRA1CcW0HGnjxK8ipxO91odBoiYoLp3NOMOUyD22pFsdlqf53d7j7v+xpf54UY4XL5pK2NZVMFU6UJxahU4Y0uiuJpr9WKklfAqcwMzBmbiB3cm+A+fdCaTJd1zpasdixnaEmSFGhkuGllArVkv3C7PYGkqgp3VZXn37M/V29zV1WhWK2Uljo5URiC3QEGdxVqxY7dKSjGSJaw09F5jBClwneN02hQ6/WojUbUBgMqg8Hzs17vCYJ6Parqn6u3GQyodboa273/6nSeY+h0qHQ6z2AaAJUKFVCcayHv2yzMMcGoz/bMKBYLjoICnPkFiJIS7HYnJdv34Ny6HlQqjJ06EdK3L4ZOndBFRaGLjkZrNje496OlxkbJGVqSJAUiGW5aGX++iQlF8QQRi8XzVVnp+ar+uXqbxXIuxFituKuqEHZ7w84BZOp6UaVREaKUe3s2tEAIDizqMAr1SYTqstAYjZ5AEhSE2mis9XOt76u/9HpPOKkOM9rmfZkb3Xp0wQUoaNAadACoDQa0kZHQsyf2ShuanEKiwsLh+H7sp09jy8zElplZ4zgqrRZtZCS66Ghv4NFFRWGIj8fYpUut57i5x0a1herVkiS1TTLctEKXehPTx8fXDCUXhpQ6vlcqK3FXVdUYO9IUKoMBTXAw6qAgz7/Bwef+DQrCSjAiQ010iB59sKeXRKXVotZqUWm1mJ1gs7rocHUPwqKCffQba16hEUFExJkoOF1GhFFbq3fNUuEkpncnUiaOR6W+FWdpKVUHD2L56ScceXk4i4o8U+9dLpz5+Tjz82udQxcXR8S4cZhHj65xScsfY6MuRs7QkiQpUMlwE+CE2+0JIRUVuCoqcFdUeAJJRQWu8nJPz0llJYrNhvXYMYpXrLjskKI2GlGHhKAxmdCEhJz7Ou9ndUiI5xP6+eHFaLxkL0lRdjma8qMEx5lQq/D0+rhcCCFQ63RoNQJ3hR2nvWXGy/iCSq0iJTWOyhIrJbmVmMKNaPUaXA43laU2gkL0pAyI8w4m1oWHYx4xAvOIEd5jCLcbV0kJjsJCnEVFOM/+6yoqwnriBM68PPKXLKHg008JGzqUiAkTMKaknA0ZKmzqEJwaAzq1Fh1NH7Rc30BhOUNLkqRA1eLh5pVXXmHBggXk5uaSmprKSy+9xNChQy+6/6JFi/j3v//NqVOniI6O5qabbmL+/PkYW0mFXKEoNcKJu7zcE1rq+NddUXFZQeWSIcVkqvM2f17G0Rm0aHQa7MVliKJ83JUVCLeCSqNGYwpFFRWLRqtHZ2jxl+ZliYwPpf+45HODpstsaLQaYpLMpAyIIzI+tN77qzQaz2Wo6Ohatyk2G2Vbt1LyzTfYT52ibNMmyjZtwpicjDptLAXqDpQW2c4N1I4zkZJ66XNe6FIDhVt6hpYkSdLFtOg7yJIlS5g7dy6vvvoq6enpLFq0iClTpnD48GFiY2Nr7f+///2Pxx57jP/+97+MGDGCI0eOMHv2bFQqFQsXLmyBR3COy2LBsn8/rpISz+KJinKut6W83BNkzva6NCWsaEJC0ISGer5MJjShoWjP/tsSIaWpQiOCCA1SyNmbRYjaiiY4CLVGi3C7cJaWYim2k5CaQmhE7TfL1iYyPpSIWJPPp7urjUYixo0jfOxYbMePU7J+PeXbtlF0qojTOXtxao8RlhCJqUtnhF5HwekyKkus9B+X3OCA05CBwvr4+IAc3C5JkqQSF9bUb0bp6ekMGTKEl19+GQBFUUhKSuLBBx/kscceq7X/Aw88wE8//cS6deu8237729+ybds2vv/++wads7y8HLPZTFlZGWFhYT55HPbsbIpWrqTsu+8afB+NyYQmLAzt2cCiDQvzBJWwMO/31bdpQkJQaTQ+aWtLE4pCxpKv+OlAJS5dCMFG0GjA7YYqG2idFnr3CyXllmlyEGojOMvK2fruRvKO5RNkLTg3UDs8An1SR6z6SGJTohg8seslw5VQFIq++gpbZmaNgcLgCS2O7GyMyclETZuGIze3Zgi6YHB75KRJcraUJEk+0Zj37xb7aO9wONixYwePP/64d5tarWbixIls2bKlzvuMGDGC999/n+3btzN06FBOnDjB119/zR133HHR89jtduznzeQpLy/33YPg3CdcV3Ex6uBgz+wcnQ4UBXVICKb+/TF07HgusISFeXpV2khYaSxnURGGihy6J4eRWyEot6hQ7J7Z1BFhgvhQFYZyOQi1sawuLXZzIvFjkqG8GFvGSRz5ebhKSzxfaj1nMuNJMJYQP2JQvb16jRkoLKtXS5IUiFos3BQWFuJ2u4mLi6uxPS4ujkOHDtV5n9tvv53CwkJGjRrl6fZ2ufjVr37FH/7wh4ueZ/78+cybN8+nba92/lRYY5cuBHXteu62s59w1UYjYUOHyl6Is6oHoYbH6wiPVKiygcutQqsRBBsBRYsjr/GDUP1d7TjQOe0u3E43WkMQ6rg49HFxKHa7Z5r5qSxEWRlVxaWcfvs9Kj56l7BhwwgfNQpDp061AkxjBwo35wwtSZKkhgi8QRn1+Pbbb3n++ef517/+RXp6OseOHePhhx/m2Wef5YknnqjzPo8//jhz5871/lxeXk5SUpJP2iOnwjbehYNQQ4LAU/3Gw92EQajFuRVk7M6l6FQRLocTrV5HVKcoUgbGN3oQbWMEUqCqHqjtsrvQB52rrRPUtStBXbtSlV+MOJWLvuAE7op8StasoWTNGgwdO2IeOZKw4cPRhYd77teEgcK+rF4tSZJ0uVos3ERHR6PRaMjLy6uxPS8vj/j4+Drv88QTT3DHHXdwzz33ANC/f38sFgu/+MUv+OMf/4i6jk+KBoMBw0U+gV4uORW28XxdYbk4t4LdXx+g8kwBercFnXDjVmk4k1dAWXYRA6f19UvAqXP5iCbOSvKFS9XWsbl1dBjWj/7jr6Hq4AFKN22icudO7KdPk79kCflLlxLSvz/hI0cSMnCgHCgsSVKr1mLhRq/Xk5aWxrp167juuusAz4DidevW8cADD9R5n6qqqloBRnN27EpLjIuWU2Ebz5cVloUiOLrxKOUZZ7wzr1SaIDRuF5qqMsozHBz7Xs+QGwb5tEelOLeCfd+exGpxeGrYGIJw2V1NmpXkKw2traPWaTGlpmJKTcVtsVC+fTtlmzZhPXYMy969WPbuRR0UREi/fgi3G/uZM+iiopplKQdJkiRfadHLUnPnzuXOO+/kiiuuYOjQoSxatAiLxcKcOXMAmDVrFomJicyfPx+A6dOns3DhQgYNGuS9LPXEE08wffp0b8hpToG6zlOg89Ug1PIiC4VHszFgQxsWiursHCGVVocqTIuhtJKCI9mUF/XAHHN5C1NWE4ogY08eVouDiHiT9znXB+mIMGopya0kY28eEbGmZr9E1djaOpqQECLGjydi/HjsubmeejmbN+MqKqLihx+8+zgjI9FGRKAxmeRAYUmSWoUWDTczZ86koKCAJ598ktzcXAYOHMjKlSu9g4xPnTpVo6fmT3/6EyqVij/96U+cOXOGmJgYpk+fzp///OcWaX9LLVbYFvhiEKo1rwinxUpoqNEbbKqpUKELMVJZYcWaV+SzcFNRYqUkz9MzUtc4K1O4kZLcSipKrC2yfERTa+sY4uOJvfFGYq6/nqpDhyjbtInyH3/0LtNhz8rCmJxMUNeuaEKb/7KbJElSY7RonZuW4K86N7UquSYkNPkTbn0l76VzCvYfZ8sHP2IMNaLX1X7zdjgVbBV2ht92BTH9utZxhMYryi7nxxVHMceZvCt+n09xK5QVWLjiqu5EJfjm9dVSFJuN8h07KPv+e6oOHTpXfFKjwdSvH2HDhhE6ePBFx5xJkiT5Uquoc9OW+HIq7KVK3kvnhMWGYgpyU25V0Gk1nN+RIgRUWQXmIDdhsb7raahrVtL5XA43Gq3GL8tHNPfsLLXRSPjIkYSPHImzuJjybdso27oVe2YmlXv2ULlnDyq9ntDBgzEPH05I374BWRVbkqT2R/4l8hFfTIVtSMn78wNOIE1Fbgn66GiSu4by04FKyi21qx3r3DY69w5DX8f6TE11qVlJlaU2YpLMPl8+oqVnZ+kiI4maOpWoqVOxZ2dTvnUrZVu24CwooHzrVsq3bkVjMmEePZrIyZPRRUT4vU2SJEkXIy9L+cjlBo3GlLxXqdUt/mYXKOzZ2Zxcvo4z+WDBhIIaNQohVJIYpyJ5xpU+7/GqNVvqgllJvp4tVXt2lhaX3eW38zWUEALbiROUbdlC+fbtuKurf2s0mEeMIOqqqzAkJjZ7uyRJapsa8/4tw40PFOdWcGBjJge3ZKFWqVBr1OiMGkLCjQSHGtAZtGj1GnR6DTqDBq1ee+57g+d7qiqo2PQdelMQhhADWg1oNZ5lCQDcVivuykpirr+eSrcxIN/sWoo9O5vyH3dQeiofp92NzqAhvHMcYWn+m9VTI1y6PJeiIuJNDVrxuzGEIti55rinp+i82VngCRcluZXEJJkbtGaUPwm3m8q9eyleuZKqw4e9202pqURNm0ZQjx61BmBLkiQ1hgw39fB1uKn+VF2cV0nOsWIftLAmtVqg04JOI9AIJ8GxkdjsKpwOF0GhBrQ6DRqdGq1eg1arpqrCTkySmbRJ3TAE69rNZaqGDML29WW85rgsWF5UxfavjmAM0dU5xsdhdWKzOBl6dY8WmZ1VF+uxYxStWEHFzp3eQchBXbsSOW0aoYMGycHxkiQ1iQw39fBluDn/U3VYdDAOqwu3S0FxK7hdChXFVkLMRjp0icDlcON0uD3/2t24HC6c9uptLhxVDuzllbgVNS5FhRCX/yapUoEhRI8xWIcxRI/RpMcYcvb7s9sMITqCTHrPthAdhhA9Gk3be/NprZfxWvPsLHtuLsUrV1L2/fcIlwsAfXw8kVddhXnECNR6fQu3UJKk1kSGm3r4Mtz48lP1hWNuhFDhcoPTBQ4XWHMLUcV0wJnYk+O7ctEH6zwhyqngdrpxORRcTrc3RAml6U+rzqj1hJ/zQo/xgpAUHGYgOMxASJgB3QUDawNNoI5ZaYjW2HNzIVdZGcVr11Kybh1KVRUAmrAwIidNIuLKK9GEhLRwCyV/kWUtJF+SU8GbyfkrMddFq9fgLrPhtLsueay6CgLq9Ho0ONCWFxMaF0rkpMHYDeGU5Fou+WaXNqUbeqMWm8WBzeK84F8HdosT63nf2ywObFVOEOC0uXDaXFQUWxv0e9DqNTXCTrDZM9Yo2Hz25zAjwWEGgkz6Zr9MFsgVhRuipWZn+ZLWbCb2xhuJmjaNsu++o2j1alxFRRR88gmFX35JxLhxnhlWspJ3myLLWkgtSYaby+DrmicNWZZAr4gGvdmFx4SgUqsIMTd8XSuhCOzWC4PQuUDk/b7SQVW5napyOw6bC5fDTXlhFeWFVfUeX6VWERxa3evjCTwhZgMhZiMh4UZM4UZCwoMwhuh81hMU6BWFL6Wha0YFYjC7kCYoiMgpU4iYMIHy7dspWrECe1YWxatWUbx2LWFDhxI1bRqGxET5ab+Va2xZC0nyNRluLoM/PlVfqiCgP9/sVGrV2ctQDR8L4bS7vEGnqtyOpdxGVZmdqgo7VWV2LOV2qsptWCsdCEVgKbNjKbMD5Rc9pkarPhd2agSfc9uCwwyoGzA2yJe9ay2lsWtGBTqVVot5xAjChg/Hsn8/RV9/TdVPP1G+ZQvlW7agi4tDFx2NOigItV4vP+23MkJRqNixA3dlZY2yFpqgINQJCTiys6nYuRN9fLwMrZLfyHBzGfwVNC5VEDCQ3ux0Bi3mGC3mmPrHTShuBWulA0uZJ+x4w1CZzRN4Sq1UltqxVthxu5RL9gSpVBBs9gSdGsHnvB4gk9nQohWFfampa0YFMpVKhal/f0z9+2M9eZKCTz7Bsm8fzrw8nHl5aMxmjJ07Yz15Un7ab0WcRUXYc3LQRkbW2VuqjYzEnp2Ns6josgufStLFBPZf9FagpYJGa3uzU2vUnl4YsxEwX3Q/t0s5G3hsVJbYsJSe/b7URmWpFUupnaoyG4oiPLeV2sjPvPh5jSa9d5ZRiNmAPkiHzqhFb9CiNWioKrMRlxwR0GNWqqnUqoC8dOYLxk6dCO7RAwBXRQX2rCzcZWVY9u5FHRyMLjqa8h9+IHr6dPlpP8ApNhvC6bzommNqvR6X04liszVzy6T2RIYbH2ipoNEW3+w0WjVhUcH1Pi5FEVgr7OcC0NnwUx12qoOQ26lgq3R471dVbq/zeKcPF3F422nP5S6z4dzlsLOXxELMnjFCGq18U/WX6k/7+g4dCOrShZBevbBmZGA7cQKlqgr7qVM4cnJQrFaip0+XM6wCmNpoRKXTodjtaIJqf2hQHA5UOh1qY8PHA0pSY8lw4yNtMWhcKFDWslKfHSgdYjYS26nufYQQ2KucVJZ4gk7+qVKyj5VQebb9bqenFpHbpeByuCnNt1Cab6n3vEGh+nOh57yB0OboYMyxJkLMhoCeEh/ILvy0rzYYCOnVi+Bu3bBlZmI9fhzFaqV45UpKv/2W8LFj5QyrAKWLisLQoQO2zEzUdSwl4youxpicLJ87ya9knRupQVprEbzz1RXOXE732UHOnh4gz2Uw+3nf27CU21FcyiWPr9VrMMeEEB4bgjkmmPBYk/dfX84Aa4scBQUULFuGxmSq89O+y2LBnpmJu6ICR26uZ6NGg3nYMO8MKylw1JotpdejOBy4iovRhIYSOWmSHD8lNZos4lcPGW4arzUXwfMFIQQ2i/Nc2KkOPuV2KkuslBVYKC+y1ls4MTQyiEETutB7eBIanaYZW986NHTh2MipU6k6cMAzw+rQIe8+ptRUoq6+mqDu3WWIDBB11rlJSPCWtZCkxpLhph4y3DROa1m4saW53QoVRVWU5lsoy7dQWnDu38qScwMnQ8KNpE3uRu9hHWXIuUBjP+1bT5yg6Ouvqdix49waVt26ETVtGqaBA+XA4wAgKxRLviTDTT1kuGmctlD+v6U57S4ObTvNztXHztb4AVOEkcGTu9F7WJIcqHyepnzar3MNqw4diJo6ldD0dNzl5fLNVZLaABlu6iHDTeO05oUbA43L6eanzVnsXHN+yAkibXJXesmQ49XUT/uu0lKK16yh5JtvUKyepUPURqOnKGBUFGqjURYElKRWTIabeshw0ziy58b3XE43BzefYufq497p6aaIINKmdKPX0ER5ueoyua1WCj//nJJ16xAOTykAlVaLPj4eTVgY+thYWRBQklohuXCm5DNtYeHGQKPVaRgwNoU+wzt5Qs6a41SWWNnw4T62Lv+JlAHxdB3UgY49o2VvThOoDQY0wcGE9OuHUBRsx47hrqzEfvo0ALbMTNwWCx3uvhuNrLUiSW2S7LmRLqnWbKkLlpho67Ol/M3lcHNg8yl2rzuBpfTc4GNDkJaU1Hi6DepAYs9oNA1YS0uqPa1cCIGzsBDbyZM4cnK8g4/VwcGEjx5N+PjxGOLjW7jVkiRdirwsVQ8ZbpqmRp0bl2c9poh4U6tcuDFQKYog90Qxx3bmcHx3LtaKcxWVDcE6uqR6enQSe0TJoFMPW1YWhZ9/XufCjIrNhvXkSWwZGd5LVgDBvXsTMX48oYMHo9K27w5tOcNJClQy3NSjNYSbQKkE3Fra1RYpiiDneDHHd+VwfHcO1opzb8RBJj1XXNWdvqM6NWhl9PbmUgUB3VYrrooKQnr3pnLHDir37vX25mjCwggfO5aIsWPRRUc3d9NbXJ2z1eQgbClAyHBTj0APN22hErDkW4oiyDlWxLFdOZzYnYv17HpZkR1CGX1THxJ7tL834fo0tCBg1LRpqNRqnIWFlGzYQOl33+EuK/PsqFJhGjCA8PHjMQ0Y0C56LmrVGTIYUOx2T50hk0kOwpZanAw39QjkcNPeKwFLl6a4FQ5uzmLbl4exVzkB6DownhHX9yY0Us5Wq9aU8v/C5aJi1y5Kv/0Wy4ED3u3aqCgixo7FPGYMuvDwZn4kzaOxgVCSWoIMN/UI1HAjKwFLjWGzONj+1REOfJ+JEKDRqRk0sSuDJnZFp5dTyeHyyv87cnMp+fZbyjZuxG05u6CqRkPooEFEXHklwb17t6llHhpyKc9dWUnM9dejj4lpgRZKkgw39QrUcCPrybRvTR3PVHimnO8/OUD20WLAUy9nxPW96Towvk29+TbV5Q6OVRwOKn78kZL167EePerdbujYkcgpUwgbNgy1rvb/19amvkHYAMLtxpGXR/SMGRiTklqghZIkw029AjXcyErArY+iCArKnFTZ3QQbNMSYdXU+d5dyueOshBCc2J3LpmU/UVniqcyb0D2SUTf2JTpRvlZ8xZaVRen69ZRu2oSwe2ayacxmIidMIPzKK9GaTC3cwqaTPTdSayDDTT0CNdzInpvW5VS+jc0HysgqsOFwCvQ6FUkxRkb0NdMptuGF4Xw5zsrpcLN77XF2rj2O26mACrqnJTB0Wg/MMSFNfajSBdwWC6UbNlC8Zg2ukhIAVHo95lGjPINuW2HNHDnmRmoNZLipR6CGGznmpvU4lW9j+aZCyqqcxJr1GPRq7A6F/DIH5mAd146MblDA8ddzXlFcxZblhzi2MwcAtVpF7xFJXHFVd0LMsiKvrwiXi/Lt2ylatQp7ZqZno0qFaeBAIqdMIbhnz1Z1abApg7AlqTk15v07ICL4K6+8QnJyMkajkfT0dLZv337RfceNG4dKpar1dfXVVzdji31PpVaRkhpHUIiektxKHFYnilvBYXVSkltJUIielAFxMti0MEURbD5QRlmVk86xRoKNGjRqFcFGDZ1jjZRVOdlysAxFufRnhooSKyV5lZjCjbXeBFUqFaZwIyW5lVScvdTUUKGRwUyeM5ibfzeKTr1jUBTBge9PsXjeerYs/wmbxXHpg0iXpNJqMY8YQcrTT9Pp97/HNHAgCEHlrl2c+stfODlvHmVbtnhXKg90hoQEIidPxti5M+7KShx5ebgrKzEmJ8tgI7U6Ld5zs2TJEmbNmsWrr75Keno6ixYt4qOPPuLw4cPExsbW2r+4uBjHeZVFi4qKSE1N5c0332T27NmXPF+g9txUk5WAA1teiYN31+RgDtYSbKw9K8lic1Ne5WLWpA7ERejrPVZzjbPKPlbE1s8Pk5vhuYSiN2oZOKELqeNT0BnadzVeX7Pn5FC8ahVlmzYhnJ6p+trISCInTiR87Fg0IYF/eVBWKJYCVau6LJWens6QIUN4+eWXAVAUhaSkJB588EEee+yxS95/0aJFPPnkk+Tk5BDSgD8cgR5uQFYCDmQZuVb+ty6PjjEGNHU8J25FcKbQzm1XxpESX/9ios05zkoIQeaBfLZ9cZii7AoAgkL1pE3uRt+RneRK5D7mqqigdP16iteuxV1eDoDaaMQ8ejSRkyfLQbmS1AStZlVwh8PBjh07ePzxx73b1Go1EydOZMuWLQ06xn/+8x9uvfXWiwYbu92O3X5ujZ7ys39oAplKrZKDhgNUsEGDXqfC7lDq7LmxORR0WhXBhkuHheZccV2lUpHcL47OfWI5tjObbV8dobywiu8/Ocie9RkMmdqdHkMS5XIOPqINDSV6xgwir7qK8m3bKF61Cvvp05SsWUPJ2rWEpqURddVVBHXr1tJNlaQ2qUXDTWFhIW63m7i4uBrb4+LiOHTo0CXvv337dvbv389//vOfi+4zf/585s2bd9ltlSSAGLOOpBgjx7Kr6Gww1gokBWUOuicGE2O+dO2T6nFWlSVWSnIr61xx3dfjrFRqFd2vSKTLoA4c2pLFjyuPUlFs5ZvFe9m59jjp1/SkS6qskeMrar2e8NGjMY8ahWX/fopXrcKyfz8VP/5IxY8/EtStG5FXXeVZsFNe+pEkn2nRy1LZ2dkkJiayefNmhg8f7t3+u9/9jg0bNrBt27Z67//LX/6SLVu2sHfv3ovuU1fPTVJSUkBflpIC2/mzpWLMeox6NTaHQkGZA3OIjmtHNGy2VLWWHGflcrjZt/EkO1cf9y7nENPJzLDpPenYMxoE8hLpWb4ai2LLyqJ49WrKzxtsrI+LI3LqVMwjRqDW1z9WS5Laq1Yz5sbhcBAcHMzHH3/Mdddd591+5513UlpayvLlyy96X4vFQkJCAs888wwPP/xwg8/ZGsbcSIHv/Do3TpdAp1XRKdbI8D6Nq3NTraXHWdmtTvZ8c4Ld32TgcrgBiO1sJrqjGZfD3e4XcfXHatmu0lKK166l5JtvUKqqAM+q5JETJxJx5ZVoWnFRQEnyh1YTbsAzoHjo0KG89NJLgGdAcadOnXjggQfqHVD89ttv86tf/YozZ84QFRXV4PPJcCP5iq8qFAeSqgo7O1cfY//GTBS3509DWFQQiT2j0ek17XIRV3+vlu22Win77juKVq/GVVQEgMpgIHzMGKKmTEEXLVd9lyRoZeFmyZIl3Hnnnbz22msMHTqURYsWsXTpUg4dOkRcXByzZs0iMTGR+fPn17jf6NGjSUxM5MMPP2zU+WS4kaT6CUV4igDuzqGy+FyNnajEMBK6R2I5O9C5PRSUbM7Kvd6igCtWYM/K8mxUqwlLTydq6lSMnTpd1vElqbVrNbOlAGbOnElBQQFPPvkkubm5DBw4kJUrV3oHGZ86dQr1BX80Dh8+zPfff8/q1atbosmS1KZVlFipqrDTZUAcbrcg+0gRJXmVFJ0ppySnguikMNRqFRUl1jY/q89ZVIQ9JwdtZGSdhRa1kZHYs7NxFhVd9vTu6qKAYcOHYzlwgKKvv6bq4EHKt2yhfMsWQvr1I2ratDa3Irkk+UOL99w0N9lzI0n1q6u4YGWJlaxDhVhKbQBotGoGTujCkKnd2/T08ZZeLdt68iTFK1ZQvn07nP1TbejcmaipUwkbMgSVRtYnktqPVnVZqrnJcCNJ9btYcUEhBKV5lWQdKsRh9czyiYg3MXxGLzr3i22TvQmBslq2o6CA4pUrKd24EXG2QrsuOprIq64ifPRo1AaD384tSYFChpt6yHAjSfW71IKexdkVKIogL6MEm8UzfTyheyQjrutDbCdzSzXbLwJttWxXRQUl33xDydq1uCs8laY1ISFETJxIxIQJaOXfNKkNk+GmHjLcSNKlFedWsO/bk1gtjjqLC/Yfl0xImJGda46z99sM3C4FgE59Yhg8qSsdukS2mcHGgbhatmK3U7ZpE0UrVuAsKABApdMRPno0kVOnyuUdpDZJhpt6yHAjSQ3T0OKCWYcL2LzsEEVnPEubqFQQnxLB8Ot7E58c0VLN96k669wkJBA6eHCLrpYtFIWKH3+kaMUKbBkZno3VM6ymTfPLOCBJaiky3NRDhhtJarhLFRc8v4dHrVGRm1HqnT6u0aoZMD6FodN6oNG2/kHHgbxathCCqp9+oujrr7Hs3+/dbkpNJeqaawju3r0FWydJviHDTT1kuJEk36hrbI4QgrKCKk4fLsRW6Rn4GhYdzPAZvegyUK5Z5S/nBy9nYSFlmzZRsWOHd4ZVUI8eRE2bhik1VT4HUqslw009ZLiRJN+42Kwq8ASf3IwSck+UeMfjxKWEM+K63nToEtkSzW2zLrY0hLFzZyp27KBs0ybvGlaGjh2JuvpqwoYOldPIpVZHhpt6yHAjSb5RVz2c8yluhZLcCoLDjBzefsa7ZlWXgfEMn9ELc0xIcze5zWnI0hDqoCCKV62i9NtvUWyeOkW66Ggip071TCOXC3VKrYQMN/WQ4UaSfKO+nhsAh9WJzeJk6NWeMTfbvzrCoa1ZCAFqtYq+oztzxVXdCTLJN9emaOw0dbfFQsm6dRSvWXNuGnlYGJGTJxMxfjyaEBk2pcAmw009ZLiRJN+4VD2cktzKWmtQFWVXsGX5T5w66Jm+rDdqGTy5GwPGJqPVy8skjdHUAoOK3U7pxo0Ur1iB8+xCnWqjkYgrryRi8mR04eHN9RAkqVFkuKmHDDeS5DsNqYdT1+rhpw8Xsvmznyg87Zk+boowkj69Jz3SEttMfRx/u9ylIbwLdX71FfYzZ4Cz61uNGkXU1Knoz67vJ0mBQoabeshwI0m+1dB6OBcSiuDwD2fY9uVh75pVMUlhDL+2Nx17RjdX81stXy0NIRSFyj17KPrqK6zHjnk2qlSEDR1K9IwZGBIT/fUQJKlRZLiphww3kuR7l6qHUx+Xw82ebzPYueY4TptnVk/nvrEMv7YXkR0uHo7aO18vDSGEwHrkCIVffYVl717v9tArrvD0/nTq5JfHIUkNJcNNPWS4kaTAZK2w8+PKoxz4/hSKIlCpoGd6R4ZO64EponbPRGvmq4KA/loawpaZSeEXX1Dx44/ebaZBg4ieMYOglJRGH0+SfEGGm3rIcCNJga00v5Ityw+RsTcPAI1OzYCxyQya1A1jcO1ZWa3NxerShKalNSmI+HNpCNvp0xR98QXl27d7CwKGDBhA9IwZBHfrdlnHlqTGkuGmHjLcSFLrkJtRwpblh8g5XgyAIcgzs6r/mNY7s6ohdWmaEkj8vTSEPTuboi+/pGzLlnMhp29fT8jp2dNn52kugbyUhnRxMtzUQ4YbSWo9hBBkHshn6+eHKc7x1GYJCTcydFoPeqZ3rLN4YKDy9RiZluDIy6Pwyy8p27wZ3J6ijMG9enlCTu/erWJpB1/3nEnNR4abeshwI0mtj6IIjvxwhu1fHaGyxLMwZ0S8iWEzepHcL7ZVvKn6anZTIHAUFFD01VeUbtzoDTlB3bsTPWMGIf36Bezz4a+eM6l5yHBTDxluJKn1cjnd7N+YyY5Vx7BXOQGI7xLB8Gt7BfyaVZdblyYQOYuKKPr6a0o3bPCuX2Xs0oXoGTMCbpHOttBz1t41e7gpLS0lvJVUtZThRpJaP3uVk11rj7P32wxcTs/CnCn940if3jNgp4+3pZ6bCzlLSiheuZKS9esRDs9q8IbOnYmeMYPQQYMCIiy05d9/e9GY9+9Gv+L++te/smTJEu/Pt9xyC1FRUSQmJrJnz57Gt1aSJKmRDME6hs3oxc+eGk+fkZ1QqVVk7MtjyfzvWP+/vd5LV4FEFxWFoUMHXMXFXPiZUgiBq7gYQ0ICuqioFmph0+kiIoi77Ta6LVhA5NSpqAwG7JmZnHnpJTKefJLy7dsRitKibVRsNoTTidpgqPN2tV6PcDq9i4tKrVuje25SUlJYvHgxI0aMYM2aNdxyyy0sWbKEpUuXcurUKVavXu2vtvqE7LmRpLanJLeSbV8e5sSeXCBwp4/7qy5NoHFVVFC8ahUla9d6w4I+IYHoGTMIGzq0RXpyZM9N6+fXy1JBQUEcOXKEpKQkHn74YWw2G6+99hpHjhwhPT2dkpKSy2q8v8lwI0ltV25GCVs/P0T2Mc/0cX2Qlr6jOtMlNY4gk6FRlZP9xZ91aQKN22KhePVqilevRrF6etP0HToQPX06YenpqDTNN6Vfjrlp/fwabhISEvj4448ZMWIEPXv25LnnnuPmm2/m8OHDDBkyhPLy8stqvL/JcCNJbZsQglMHC/j+kwOUFVQBnp6c6I5hdO4TS5eB8fWuedUsbWxndVbcVVUUr1njCTkWCwD6uDiiZszAPGxYg0KOL35n7aXnrK3ya7h54IEH+PLLL+nevTu7du3i5MmTmEwmPvzwQ/72t7+xc+fOy2q8v8lwI0mB7XLWqapWnFvB3vUZFJwupzSvEqfdM11Zb9R6Zldd14uoDvL/f3NzW62UrF1L8cqVuM+GHF1sLNHTp2MePhyVVlvn/XxZm6Y99Zy1NX4NN06nkxdffJGsrCxmz57NoEGDAHjhhRcIDQ3lnnvuaXrLm4EMN5IUuGqsMO50o9FpiIgzkZJa/wrj5xOKYOea4xScLiMi3oRQBPmZZeQcL8bt8gxqDYsOZvLsQcR2Dvfjo5Euxm21UvLNN56QU+EpzqiLiSHqmmsIHzmyRsjxR22a9tZz1lbIOjf1kOGmbVIUQUGZkyq7m2CDhhizrlVVr5U8wWbftyexWhyYwo1oDVpcdheVpTaCQvT0H5fcoIBTXlTF9q+OYAzRoQ86N5jY5XCTc6KY/JOl1SsI0P2KBNKv6UlYVLC/HpZUD8Vmo+SbbyhaseJcyImKImr6dMJHjQK1Wo6Tkbz8Hm7ee+89XnvtNU6cOMGWLVvo3LkzixYtIiUlhWuvvbbJDW8OMty0PafybWw+UEZWgQ2HU6DXqUiKMTKir5lOscaWbp7UABf2tlz4JlaSW0lMkpnBE7te8hJVUXY5P644ijnOVGfAtVbaydyfT2WJZxaPWqum/5jOpE3uhjFE79sHJjWIYrdTsn49RV9/jfvsuE1tZCThY8diz8lBGxYmZzhJ/q1z8+9//5u5c+cydepUSktLcZ8tvR0eHs6iRYua1GBJaqpT+TaWbyrkWHYV5mAtHWMMmIO1HMuuYvmmQk7ly5oVrUFFiZWSvEpM4cZaVW1VKhWmcCMluZVUNKB+jc6gRaPT4LK76rxdo1GT0C2Kqb+4go49olBcCnu+yWDxvPXsWnccl9Ptk8ckNZzaYCDqqqvotmABcbffjjY8HFdxMYXLllG5Ywf27GyEu/bzImvTSBfT6HDz0ksv8cYbb/DHP/4RzXkj3K+44gr27dvn08ZJUn0URbD5QBllVU46xxoJNmrQqFUEGzV0jjVSVuVky8EyFKVdXXltlZx2F26nG62h7gGlWr0Gt8uN8yKB5XyhEUFExJmoLLXVWSyvstRGRLyJ5L6xTH8gnWt+PZTIhFDsVhdbPjvE/57dwOEfTiPk66bZqQ0GIidPpuvf/kbcz36GJiwM4XRStX8/JWvXYj1+vEbIURwOVDodaqPsoZVqanS4ycjI8A4iPp/BYMBydvS7JDWHgjInWQU2Ys36Oj/tx5j1nMq3UVDmbKEWSg11qd4Wl8ONRqtBd5Hwcz6VWkVKahxBIXpKcitxWJ0obgWH1UlJbiVBIXpSBsShUqtQqVR06h3DLb8fzZU/TyUk3EhliZV17+7howXfk3WowNcPVWoAtV5P5KRJdF2wANPAgah0OhSbDcv+/RSvWYP1+HEUp7NVV3WW/KvR4SYlJYXdu3fX2r5y5Up69+7d6Aa88sorJCcnYzQaSU9PZ/v27fXuX1payv3330+HDh0wGAz06NGDr7/+utHnlVqeogjyShxk5FrJK3E0uoelyu7G4RQY9HW/jI16NU6XoOrsNODLPZ/kPw3tbQmNqD3uoi6R8aH0H5dMTEczNouTsgILNouTmCRznQOT1WoVvdI78rMnxjFsRi/0Ri2Fp8v54pXtfPHKNgpPB3b9rrZKYzAQe8sthA0fjqFzZ9RGI8Jux7J/PyWrV+MsKSGkb185mFiq5dIfgy4wd+5c7r//fmw2zx+h7du388EHHzB//nzefPPNRh1ryZIlzJ07l1dffZX09HQWLVrElClTOHz4MLGxsbX2dzgcTJo0idjYWD7++GMSExPJzMxsNYt2Suf4YhBwsEGDXqfC7lAINtYuAmZzKOi0KoINGjnoOMBV97ZUllgpyfWMvdHqNbgcbu9sqereloaKjA8lItbUqJo5Wr2GwZO60nt4EjtWHWP/xpNkHSok6/BGeg5JZOjVPQmNbFjAak6+qA0UqAwJCURddRUVO3ZgO3MGR24ujpwchN2O7fhxshYuJHLKFCImTKhz0LHUPjVpttTixYt5+umnOX78OOCpWjxv3jzuvvvuRh0nPT2dIUOG8PLLLwOgKApJSUk8+OCDPPbYY7X2f/XVV1mwYAGHDh1Cp2vaejFytlTLqx4EXFblJNasx6BXY3co5Jc5MAfruHZkdIMCh6IIlm7I51h2FZ1jjbVm2GTm2+ieGEx6rzC+2FJ02eeT/K9GnRuX51JURLyJlAENr3PjS2WFVWz74jDHdmYDoNGqGTAumbQp3dEbG/3Z0C98URuoNTi/No1Kp6Pq8GGKvvoKZ34+AJqQEE/ImTgRTbCc2t8WNVudm6qqKiorK+vsZbkUh8NBcHAwH3/8Mdddd513+5133klpaSnLly+vdZ9p06YRGRlJcHAwy5cvJyYmhttvv53f//73NQY3n89ut2O3270/l5eXk5SUJMNNC2loILl5TGyD6tScH5RizHqMejU2h0JBmQNziI7pw6PYerDcZ+eT/C8QeyHyT5Wy+bOfyD7qWbMqJNzIqBv70CU1vtZ4r+bkq9pA5wvE3//FCLeb8q1bKfziCxy5nkVT1cHBRE6ZQuTEiWhCQlq4hZIvNSbcNPqjx1NPPcVdd91F586dCQ4OJriJCbmwsBC3201cXFyN7XFxcRw6dKjO+5w4cYJvvvmGn/3sZ3z99dccO3aMX//61zidTp566qk67zN//nzmzZvXpDZKvteYQcBxEZeuOdIp1si1I6O9l5yKygU6rYruicEM72PGoFP79HyS/6nUqoArqhfbKZxrHxxG5oF8vv/kIOWFVaz6z046941l9E19CYtu/vYKRZCxJw+rxVGjNpA+SEeEUUtJbiUZe/OIiDU1OJy0tl4glUaDeeRIwoYPp3zbNgo//xxHTg6Fy5ZRvHIlkZMnEzlpEhqTqaWbKjWzRoeb5cuX8+c//5mxY8dy9913c+ONN2IwGPzRtloURSE2NpbXX38djUZDWloaZ86cYcGCBRcNN48//jhz5871/lzdcyO1jIYMAi4qPzcIuCE6xRrpGG2os0JxRq7V5+eT2ieVSkVyvzg69ohm55pj7FxznMwD+Zw5UsgVV3Un9couaLTNN7C1MbWBGhIWa/cCBeGyuyg4XUZlibVJvUDNRaVWYx4+nLD0dCp++IHCzz/HfuYMhcuXU7xqFRETJxJ51VVoZchpNxr9P3H37t388MMP9O3bl4cffpj4+Hjuu+8+fvjhh0YdJzo6Go1GQ15eXo3teXl5xMfH13mfDh060KNHjxqXoHr37k1ubi4Oh6PO+xgMBsLCwmp8SS3n/EHAdTl/EHBjqNUq4iL0pMQHEReh915i8tf5pPZLq9cw9OqezHxsDAndI3E5FbZ+cZilf91I9rHiZmuHL2sDXdgLpA/yfDjQB+mIiDdhtTjI2JsX8LV/VGo1YenppDz7LIn3348hKQnFZqPoyy85/sgj5C9diqtcznxrD5r0MWPQoEH885//JDs7m//85z+cPn2akSNHMmDAAF588UXKysoueQy9Xk9aWhrr1q3zblMUhXXr1jF8+PA67zNy5EiOHTuGopx7ozpy5AgdOnRAr5eXFFqDGLOOpBgj+WWOOqf8FpQ56BRrJMbctAHjLX0+qe0SiqC8qIqi7HLKi6oIjw3h2geHMeGOVIJMnpo6n724hW8W78FaWfeHLV/yZW0gX1aIDgQqtZqwIUNImTePjg8+iKFzZ0/I+fprjj3yCHkffoirAe9TUut1WX2oQgicTicOh+eNIyIigpdffpmkpCSWLFlyyfvPnTuXN954g3feeYeffvqJ++67D4vFwpw5cwCYNWsWjz/+uHf/++67j+LiYh5++GGOHDnCV199xfPPP8/9999/OQ9DakZqtYoRfc2Yg3Vk5tuw2Ny4FYHF5iYz34Y5RMfwPmafDe5t7vNJbVNxbgU71xxn+1dH+HHFUbZ/dYSda45TkldJz6Edue1PY+kzshMAh7ae5n/PfstPW7L82tPhy9pAvuwFCiQqtZrQtDRSnn6ajg8/jDElBeFwULxyJccefZS8Dz7AWVra0s2U/KBJs6V27NjBW2+9xQcffIDBYGDWrFncc889dOvWDfAs0fDcc8/VuuRUl5dffpkFCxaQm5vLwIED+ec//0l6ejoA48aNIzk5mbffftu7/5YtW/i///s/du/eTWJiInfffXe9s6UuJKeCB4bz6844XZ5BwJ1ijQzv45+6M819PqntaMyMpNyMEr79cB/F2Z4Vrjt0iWDMzP5EJfhnrEqttl1QG+hyV1Kv5rA6sVmcDL26R8AN9m4MIQSWvXspWL4c24kTAKi0WsLHjSPq6qvRRUS0cAul+vh1Knj//v05dOgQkydP5t5772X69Om1gkVhYSGxsbE1Lh8FChluAoeiiDoHAbeV80mtX1NWK3e7FfZ9e5LtXx/B5XCjVqtIvbILV1zVrUGXiBrLF7WBfLkqe2sghMCyfz+Fy5djPXYMOBtyxo4lato0uZxDgPJruHn22We56667SExMvKxGthQZbiRJaqjL6dGoKLby/ScHyNjr6cEOjQxi9M19Se4XV+s4l8sXtWl81QvUmgghqPrpJwo++wzrkSOAJ+SYR48m+pprZMgJMM1WxK81kuFGkqSGKsou58cVRzHHmers5VPcCmUFFq64qjtRCXX/PcnYl8fGjw5QeXYwbsqAOEbd1LfB62Q1p0CrEN1chBBUHTpE4fLlVFXXWdNoCB81iqhrrkEfE9N8bTmvErPaaEQXFSXXzjpLhpt6yHAjSVJD+WositPu4seVR9nzTQaKIs5OJ+/BgLHJqDWB9cbVmioU+0PV4cMULF9O1cGDng0aDeYRI4iePh19E6rxN4Y9O5uKHTuw5+QgnE5UOh2GDh0ITUvDkJDg13O3BjLc1KMthRs5hqTtkM9lYPL1WJSi7HI2fLif3IwSAKISwxh/+wBiO5n99hikpqk6epTC5cux7N/v2XC2UGD09OnoL1KL7XLYs7MpXr0ad2Ul2shI1AYDit2Oq7gYjclE5OTJ7T7gyHBTj7YSbuQq122HfC4Dm6/HoghF8NO2LLZ8dgh7lROVWkXalG6kTemGJsB6cSSoOnaMws8/x7J3r2eDSoV5+HCipk/H0KGDT84hFIWir77ClpmJPiGhVoh2ZGdjTE4matq0dn2JSoaberSFcOOrVbUl/7tUj4x8LlsHf4xFsVbY+e6jAxzflQNAdMcwJtwx0G/TxqXLYz1xgsLly6ncs8ezQaUiLD2d6BkzLrtHxVFQQMGyZWhMJjRBtcdiua1W3JWVxFx/fbOO/wk0fg03e6vT64UHUqkwGo106tSp2daaagp/hZvTBXZe/uw0Br0aY/WX7rzv9WoMejVBddx+4X3quxzh61W1Jf+5VI+MfC5bF3+NRTm6I5vvlu7HXuVErVWTfnUPUq/sIp/zAGU9edITcnbt8mxQqQgbMoSoGTMwduzYpGPasrIo/Pxz9PHxdfbMCLcbR14e0TNmYGzHayP6dVXwgQMH1irPfT6dTsfMmTN57bXXMBrbzyfOMouLPScqfXIsg06FQa8mWK8h2KgmxKjxfqlUcOxMFaYgDcddVnRaNQadGoNehVGnJipUJ1e5DgAX65E5ll1FQamTa0dGyxXLWxl/rVbePS2BhG6RfPvhPjL357Nl+SFO7M1lws8HEh4b4vPzSZcnKDmZpIcfxpaZSeHnn1OxYwfl27dTvn07oVdcQfS11zY6gKiNRlQ6HYrdXmfPjeJwoNLpULej99TL1eiem+XLl/P73/+eRx99lKFDhwKwfft2/vGPf/DUU0/hcrl47LHHmDlzJn//+9/90ujL4a+em9JKF7uPV2BzKLW+7M5z31urt1Xfft5tvqJRQ2SojmizjrAQLeYQLWHBGsxnv/f+bNISFqwl2KCuN7BKjdPQHpkhPUL5YH0+HWMMaOr4lO5WBGcK7dx2ZRwp8YE3bVjyLSEEh7ad5vtPDuK0udDq1Ay7thf9Rye3q9lKrU11r0vFjz/C2bfTxoYcOeamYfx6WWro0KE8++yzTJkypcb2VatW8cQTT7B9+3Y+++wzfvvb33L8+PHGt97PAnXMjRACu1Ngc7jPBSG7gsXmxmJ3Y7F6vs8vdbDrWAVqlQpFCBwugf1sgHI4BU0ZQKXVqM6GHs3Z4HM2AIXUDETVoSgsWItGI//YXkxeiYN31+RgDtYSbKy9LIjF5qa8ysXUoVGs2F50yf1mTeoge27akYpiK98s3sOZI0UAJHaP4sqfDyA0svUue9Ae2E6f9oScH344F3LS0jwhp1OnS96/1mwpvR7F4fDMlgoNJXLSJDlbyp/hJigoiF27dtGrV68a2w8dOsSgQYOwWq2cPHmSPn36UFVV1fjW+1mghpuGqq9XwK0onMixkhDlWTOpwuqmzOKi3OKi7OxXueXstirPz3Zn4+OQSgXhIVqiwnREmXVEheo834fV3BYarGmXPUIZuVb+ty7vkj0yM8fH8sOhCp+PuZHTyls/oQj2f5/JluWHcDnc6IxaRt7Qm97Dktrl/6nWxH7mDIXLl1PehJBTZ52bhARCBw9u98EG/BxuBg0aRGpqKq+//jp6vefTpNPp5N5772XPnj3s2rWLTZs28fOf/5yMjIymPwo/8Ve4ac43lPPHc8SY9Rj1amwOhYIyB+YQHdeOaPgMG5vDTZmlZggqr3J7w1DZ+dsqXVRY3Q1up06r8gQf89nwE6o9F4aqt4XpMOjaVjdrQ3tuZk3qgN2p+Oy5BDmtvLVo6ODk0nwL37y/x1sXp1OfGMbfPoAQs3wuA539zBkKP/+c8u3ba4acGTMwdu580fvJCsUX59dws3nzZmbMmIFarWbAgAEA7Nu3D7fbzZdffsmwYcN47733yM3N5dFHH236o/ATf4SblnhDaalVrt1uQVmVi+JyJ4XlTorLXWf/dVLk3eakvKrhISgsWEO0WUdsuJ4Ys47ocD2xZh3R4TpizHqiwnRoW9FlsMbOgvLVcymnlbcONaaVO91odBoi4kykpNY9rVxRBHvWn2Dbl0dQXAqGYB1jbu5Lt7QE2YvTCtQVckyDBxNz7bX1hhypNr/XuamoqGDx4sUcObvQWM+ePbn99tsJDQ38+gy+Djct+YYSyJcfHE6F4gpP2Cm6IAQVljspKvNsd7gu/fJTqyAiVEeMWUdsuCf8xJh1xFT/a9YRbtIG1B/6xvauXe5zKaeVtw61CgIatLjsrgYVBCzOqWDde3soyCoDoOvAeMbc0o+g0MAtvSGdY8/O9oScbdvOhZxBg4i57joZchpIFvGrhy/DTXt7Q/F1mBJCUGl1U1jmJL/USUGZg8IyJwWlTvLLHBSWeoKQy33pl6hOqyI6TEfM2d6eaPO572PO9gKZjM07Bqg5e9cacylMDk5uGb5YysHtVti5+jg7Vh5FUQRBoXrGzuxPl1TfLwcg+cfFQk70tdcSlJzcso0LcH4PN0ePHmX9+vXk5+ejKDWnMD/55JONPVyz8mW4aU9vKC01lkNRBKUWFwVnw09BqfNsGHJQUOaksMxBcYWLhryKjXq1J+ic/aoe8xMddu5nc4jWp0G0uXrXGjqIWU4rbzm+WoQToCCrjHXv7aY4x1Nbq+fQREbd2BdDcO3jSoHJnp1N4RdfUL5167mQM3Ag0dddJ0PORfi1iN8bb7zBfffdR3R0NPHx8TU+fahUqoAPN75UZXfjcAoM+roHexn1aorKBVX2ho8/CUQNKUjnr4CjVquIDNURGaqjZ1Ldf/BdbkFRuZOCs4GnoMxJ4XnfF5Q5KLd4pthnFdjJKrBf9HxajYrIUK03+ESdDT7RYU0bBK1Wq5ol2AYbNOh1KuwOpc6gbXMo6LQqgg21b5Oah9Puwu10ozXUHS61eg3uMhtOu+uSx4pJMnPzo6PY/vVRdq87zuHtZzh9pIgrfzaApF7ttzx/a2JISCDxl78kesYMT0/O1q1U7t5N5e7dmFJTib7+ehlyLkOje246d+7Mr3/9a37/+9/7q01+JXtuGqetXHqzOxXPJa+zvT9F5ee+Css8l79KKxvWAwQQGqQh6mzoSYw20CnWSFKsgaQYI+GmRn9muGxt5Xlqy3zZc3O+nBPFfPP+HsoKPKU3+o9NZviMXmj1Msi2JvacHG/IkT05dfPrZamwsDB2795Nly5dLquRLUWOuWmc9hDgqrncgpLzBkEXnQ09hWU1w9ClagOFBWvoGHM28MR4Qk+3hCAiQv17ycCXJQIk3/PFmJuLcTrcbPnsJ/ZvzAQgIt7ExFkDiUky+/QxSP5nz82l6PPPKduyRQ48voBfw83dd9/NkCFD+NWvfnVZjWwp/pwt1RbfUORYjpqEEFTa3N7ZXvmlTk4X2DmVbyOrwE5+qaPO3h+NGialRXLr+Di/hsCWKhEgNUyt2VJ6DS6Hu0GzpRri1MF8vlm8l6pyO2qNiiHTejBoYtdW++GqtfBHbZq6enJC09KIvu66drt4pl/Dzfz581m4cCFXX301/fv3R6er+Wn0oYceanyLm5G/69y0tTeU9tRz4ws2h8LpQhun8+2cKrCTlW8jM99GVr5nnE9zhJxALhEgXVDnxuVGo9UQEW8iZUDddW4ay1rpYMOH+zixJxeADl0imHDHQMKi5fIN/lBnVeEOHQhNS/NJVWF7dran4vH5xQAbuHZVWysI6Ndwk5KScvGDqVScOHGiMYdrdm2hQnFzag+X3prDwUwL76/NZdcxz+wWrUbF5LRIZo6PJTZchsL2pqEVipt8fCE4vO00Gz8+gNPuWb5h9E196Tk0MaDqQbV2tdaDMhhQ7HbPelAmE5GTJ/ts2QT7mTMULF9ec+2qIUOIue46DImJdbbNn6GrJcg6N/Vo7WtLtYS2fumtOe0/WcnitXnsPn4u5Ey5IpKZ42KJuUTIaasBWvKf8sIq1r63m9wTnuUbugyMZ+zM/gSZZKC+XC21krft9GkKP/vMswo5gEpF2JAhRF93nTe0NGfoak4y3NRDhpumacuX3lrC/oxK3l+Xx57zQs5VQyK5fmQMCdG1K87KNaOkplIUwa61x/nhqyMoiiA4zMCVPxtApz6xfj+3v3uoWpKjoICCZcvQmExogmqPN3RbrbgrK4m5/nr0Mb6fnm/LyvKEnB07PBtUKsLS04maPp3KnTubPXQ1B5+Hm7lz5/Lss88SEhLC3Llz69134cKFjWttM5Phpulkz4Hv7T1RyeJ1uew9YfFu654YxNjUcMb0DycmXC/XjJJ8oiCrjLXv7qYk1xOo+43uzPDreqPz05Txxq6h1drYsrIo/Pxz9PHxdYYE4XbjyMvzLJTpxwHAtsxMCpYvp3LnTs8GlQpdVBRBPXuij46utb+/Q5c/+byI365du3A6nd7vL0Zey23bmqsgXXsyoIuJAV26sfdEJUu/zWfX8QqOnrFy9IyVN7/OoW/nYExBGhQE3ROCvf/Hgo0aOhuMZObb2HKwjI7RBhk0pXpVF/7b8vkh9m04yf6NmZw+UsjEWYOI7eTbKeO119AKwmV3UXC6jMoS62XPCgsEaqMRlU6HYrfX2XOjOByodDrURv9+8DB27kzSQw95Qs5nn1G5axfOwkKchYUYOnYkuGdPNCbTuXbr9bicThSbza/tamnyspQkBZDSSiff7y9jw95S9mdYatwWH6Gnc5yBpFijt0KynK0mNcWpnwr45v09ninjahVXTOvO4EndfBKQ/VnPJ5C01JibS6nYtYvcd9/FVeIZZ4VKdS7khIS0m56bRv/G33rrLaxWa5MbJ0nSxYWbdFwzLJoFv+jGu4/15sbRMZiCPJcNckscbDtUwacbC9h+qJwqmxujXo3T1fqX+JCaV6feMdz6hzF0HRiPogi2f3mEzxZtoayw6rKPXVFipSSvElO4sVZvvkqlwhRupCS3koqS1v0+olKrCU1LQ2My4cjOxm21Itxu3FYrjuxsNKGhhA4e3OzjWkypqURceSXBvXuji40FIbBnZVGybh0Vu3fjyM3FkJCALiqqWdvV3Br9W3/ssceIi4vj7rvvZvPmzf5okyRJQIxZz/Th0QztFcrktAhSu5oIN2lRBBw9Y2X55kK2HSpHEUKuGSU1mjFEz+S7BnPlz1PRGbXkZpSw9C/f8dOWLC6nQ//cGlp1j3rQ6jW4Xe4GraEV6AwJCUROnoyxc2fclZU48vJwV1ZiTE4mctKkFpmRVB269HFxGDt1InToUHQxMZ6Qk5mJZd8+7GfO4C4vb/a2NadGX5ZyuVx88cUXvP3226xYsYIuXbowZ84c7rzzTuLj4/3VTp+Rl6Wk1uTCOkMAeSVO9mZUUlDqGQenVsM16VHMHBdHZJhcFVpqvPKiKta9t4ec48UApAyIY9yt/QkKrT1zryHH8scaWoEsEIvlXVjnxm214szNxVlYCIBKrydiwgSipk1DG9o6xj8121TwvLw83n//fd555x0OHTrEVVddxd1338306dNRB+gUMxlupNamrjpDVrubY9lWsosclFR4PgHrtSqmDo3ilrGxMuRIjaYogt3rTrD9q8Mobs+U8YmzBtKxZ+0ZN/VpL2NuWoMLQ5c2MhLroUMUfPop1uPHAc/A6IhJk4i66io0ISEt3OL6NWudm23btvHf//6Xd955hw4dOlBSUkJERARvvfUW48aNa9AxXnnlFRYsWEBubi6pqam89NJLDB06tM593377bebMmVNjm8FgwNbAkd8y3Eit0cXqDA3rHUZxhYv31+ZyMNMzXkKvVXF1ehQ3jY0l0s+LdUptT+HpMta8c3bKuAoGT+rK0Gk9UGsa/oHV32toSZdHCEHlnj0ULFuGPdOz2Ko6KIioqVOJmDSpztlfgcDv4SYvL4/33nuPt956ixMnTnDddddx9913M3HiRCwWC8888wwffvghmWd/afVZsmQJs2bN4tVXXyU9PZ1Fixbx0UcfcfjwYWJjaxeZevvtt3n44Yc5fPjwuQehUhEXF9egtstwI7VW9dUZEkKw61gl76/N5adTnpCj03qqH980JlbOpJIaxelws+mTAxzcnAVAfEoEk2YPJDSy4ZeR/L2GlnT5hBBU7NhB4bJl2M+cAUBjMhE1bRoREyagNjT+sqQ/+TXcTJ8+nVWrVtGjRw/uueceZs2aRWRkZI198vPziY+PR1GUSx4vPT2dIUOG8PLLLwOgKApJSUk8+OCDPPbYY7X2f/vtt/nNb35DaWlpY5rtJcON1JYJIdh51FMYsDrkqNUwPjWCm8fG0jlOFvuTGu7Yzmy+/WAfDpsLQ5CWcbcPoOvADg2+f1uuUNyWCEWhfPt2Cj/7DEeuZ8FVTVgY0dOnEz52LGp9YHw48nkRv/PFxsayYcMGhg8fftF9YmJiyMjIuOSxHA4HO3bs4PHHH/duU6vVTJw4kS1btlz0fpWVlXTu3BlFURg8eDDPP/88ffv2rXNfu92O3W73/lzexkeIS+2bSqUirUcog7ub2Jdh4cP1eew6Vsm6XSWs21XC8D5h3DI2ll6dAvvauhQYug1OILZTOGve2UXeyVJW/WcnfUZ2YtQNfdA2oLKxSq1qM4OG2zKVWo152DDChgyhbPNmCpcvx1lYSN7ixRStWOEJOaNHo9I2OjK0mBYt4pednU1iYiKbN2+uEZZ+97vfsWHDBrZt21brPlu2bOHo0aMMGDCAsrIy/v73v/Pdd99x4MABOnbsWGv/p59+mnnz5tXaHsg9N3KZA8mXjpyuYumGfDYfKKteTJjUriZmjotlYFeTrCwuXZLbrbD9qyPsWuMZhBrZIZTJcwYR2UFeXmqLhMtF6caNFH7xBa5izww6XUwM0TNmYB4xApWmZUpP+H3MjcViYcOGDZw6dQqHw1HjtoceeqjBx2lKuLmQ0+mkd+/e3HbbbTz77LO1bq+r5yYpKSlgw41cIFHyl6x8Gx99l883u0pwn71i3D0xiJnjYhnexywDtHRJWYcKWPvuHqwVdrQ6NaNu7EvvEUkyILdRisNB6YYNFH7xhbcujj4+nujrriNs6NBmn+7u13Cza9cupk2bRlVVFRaLhcjISAoLCwkODiY2NpYTJ040+FgOh4Pg4GA+/vhjrrvuOu/2O++8k9LSUpYvX96g49x8881otVo++OCDS+4byGNu5AKJUnPIL3Xw6cYCVv5QhN3p+e+fFGPg5rGxjB8YgVYj36iki6sqt7Puvd1kHfLUS+k6qAPjbu2PIVjOzGurFLudknXrKPr6a9yVnoVXDYmJRF9/PaFpac0Wbv26/ML//d//MX36dEpKSggKCmLr1q1kZmaSlpbG3//+90YdS6/Xk5aWxrp167zbFEVh3bp19Y7pOZ/b7Wbfvn106NDwQW6BSFEEmw+UUVblpHOskWCjBo1a5VkgMdZIWZWTLQfLUJR2tRSY5Aex4Xp+NT2Rt3/Xh1vHxxJiVJNVYGfhx1nc/fef+HxzITbHpScDSO1TcJiBa+4byvBre6FWqzi+K4elf91IbkZJSzdN8hO1wUDUtGl0XbCAmBtuQB0UhP3MGc68/DInn36ait27L6uqtT80uucmPDycbdu20bNnT8LDw9myZQu9e/dm27Zt3HnnnRw6dKhRDViyZAl33nknr732GkOHDmXRokUsXbqUQ4cOERcXx6xZs0hMTGT+/PkAPPPMMwwbNoxu3bpRWlrKggUL+Oyzz9ixYwd9+vS55PkCtecmr8TBu2tyMAdrCTbWvp4pF0iU/MVic/PVtiI++76AkkpPQUBziJbrRkZzzbBo79pWknShvJOlrHlnF+WFVajUKtKv7sEgWZyvzXNbLBStXEnJmjXe1cWDunYl5oYbCO7Tx289OX6dLaXT6bzVh2NjYzl16hS9e/fGbDaTlZXV6MbOnDmTgoICnnzySXJzcxk4cCArV6701q05depUjWrHJSUl3HvvveTm5hIREUFaWhqbN29uULAJZFV2Nw6nwKCvuzPNqFdTVC4XSJR8L8So4ZaxsVw7Ipo1O4r5+LsC8kocvLM6l4825HP1sCiuHxlDhCwIKF0gLjmcm383ig0f7ufYzmy2fnGY00eKmDgrleAweQm9rdKEhBB7441ETp5M0ddfU7JuHdbjxzm1YAHBPXt6Qk7Pni3axkb33EyePJnZs2dz++23c++997J3714eeugh3nvvPUpKSho0CLglyZ4bSaqf2y3YsLeUpRvyyczzfCoz6FRcNzKGm8fGElLH61Nq34QQHNp6mo0f7cflVAgK1TPhjoF06h3T0k2TmoGrtJTCr76idP16hMvT+xvSrx9Jv/mNT6eP+3VA8Y8//khFRQXjx48nPz+fWbNmsXnzZrp3785///tfUlNTL6vx/hao4ebCBRIvXI8lM99G98Rgbh4TK2e1SM1CUQTbDpWzZH0+h097CgKGBWu4dXwcVw+LQq8NzPXjpJZTnFvBmrd2UZRdAcDACV1Iv6YnGvlaaRecRUUUfvEFpRs3EjpwIB0ffNCnx2/WtaVam0ANN1D3Aok2h0JBmQNziI5rR8jZUlLzE0Kw5WA5b6/KIavAU1YhNlzHnZM7MC41XIZtqQaX083mZT+xf6Nn+Z3YTmYmzRmMOfryivnJaseth6OgAAB9jG977vwabqxWK0IIgoM9L9TMzEyWLVtGnz59mDx5ctNb3UwCOdzAxRdIHN5H1rmRWpbbLVizs5j31+ZSVO7peu7SwchdV3VgcPdQWetEquHEnlzW/28v9ionOqOWsTP70eOKxCYdq8Y6VU43Gp2GiDgTKalynar2xK/hZvLkydxwww386le/orS0lJ49e6LX6yksLGThwoXcd999l9V4fwv0cAOyQrEU2GwOheWbC1j6bT5Vds+U8dSuJu66qgM9OspS+9I5FcVW1r6zi5wTnmnivdI7MvrmvugMDR+HUWuFcYMWl90lVxhvh/xa52bnzp2MHj0agI8//pj4+HgyMzN59913+ec//9m0Fks1qNUq4iL0pMQHERehl8FGCihGvZqZ4+J469He3DAqBq1GxZ7jlTz8ylGe/99JThfYWrqJUoAIjQzi2oeGccXU7qhUcGjbaZb+9XsKssoadH+hCDL25GG1OIiIN6EP8nzQ0wfpiIg3YbU4yNibh5D1v6QLNDrcVFVVERrqScmrV6/mhhtuQK1WM2zYMDIzM33eQEmSAlNYiJZ7r07gzd/2YsKgCFQq2LivjF8uOsyiT7LIL3Vc+iBSm6fWqBk6rQczHhxGSLiRsgILn/xjE3u+OXHJwm8VJVZK8ioxhRtrXfZUqVSYwo2U5FZSUWL150OQWqFGh5tu3brx2WefkZWVxapVq7zjbPLz8wP2Mo8kSf4TF6Fn7k1JPHNnCgO6hKAosOrHYu7++yFe+/IMpWcLA0rtW2L3KGY+NpqUAXEobsGmZT/x1as/UFVhv+h9nHYXbqcb7UUuY2n1GtwuN067fI1JNTU63Dz55JM88sgjJCcnk56e7l0mYfXq1QwaNMjnDZQkKbCdyrexdEM+6/eUEBasJa2HifgIPS634LNNhdy14CfeXZOLxSYLULZ3xhA9V92Txphb+qHRqTl1sIClf9noXafqQjqDFo1Og+si4cXlcKPRaho1hkdqH5o0FTw3N5ecnBxSU1O91YO3b99OWFgYvXr18nkjfak1DCiWpNbiYou95pXacbo8xSlP5Xs+mYcGabhlXCzTh0dj0Mm6J+1dUXYFa97eSXFOJahg0ISuDL2mBxrNudeGUAQ71xyn4HQZEfGmWvW/SnIriUkyM1gu+dAuyDo39ZDhRpJ8oyGFJ7slBJEYZeS9tbneGjlRYVpuvzKeyVdEyhXI2zmnw83mZQc58P0pAGI7hzNp9qAaNXFqzZbSa3A53HK2VDskw009ZLiRJN9ozJIh0WE61u0qYfG6XPJLnQB0iNRzx6R4xg6QhQDbu+O7c/j2f3uxW13ojFrGzexH9/Nq4tSoc+PyXIqKiDeRMkDWuWlPZLiphww3kuQbGblW/rcuj44xBjR1hBO3IjhTaOe2K+NIiQ8CwOFSWLGtiA+/zfcONE6ON3Ln5HjSe4XJQoDt2KVq4sgKxZIMN/WQ4UaSfONyFnu12t18trmQjzecKwTYu1Mws6d0YEAXU7O0Xwo8ilvhx1XH2LHyKEKAOSaEyXMGEZNkbummSQFAhpt6yHAjSb7hi8VeK6pcfPRdPp9vLsTu9PwpGtzdxOwpHeieKKsdt1fZx4pY885uLKU21BoVw2f0YsD4FNmz1875PdwcPXqU9evXk5+fj6IoNW578sknG3u4ZiXDjST5jq8Wey0qd/LBN3ms/KEI99k/KaP6mZlzVQcSogx+fhRSILJZHKz/314y9uYB0KlPDFf+PJXgUPl6aK/8Gm7eeOMN7rvvPqKjo4mPj6+RpFUqFTt37mxaq5uJDDeS5Fu+XOw1p9jO+2vyWL+nBCFAq1FxzbAobhsfR1iIrGXS3gghOLDpFJs+PYjbqRAcZmDCHQNJ6hXd0k2TWoBfw03nzp359a9/ze9///vLamRLkeFGknzP14u9ZuRY+c+KHHYcrQDAZNRw65WeGjl6beuvkSMXx22cWjVxJnZl6NU1a+JIgUEoCs6iIhSbDbXRiC4qCpXaN8+TX8NNWFgYu3fvpkuXLpfVyJYiw40ktR47jpTz5oocTuZ6FuOMj9Az+6p4xvQPb/bxF74KJOf3dDmcAr1ORVKMkRF9G9/T1Z44HW42fXqQg5s8NXHiksOZdOcgwqLl2KxAYc/OpmLHDuw5OQinE5VOh6FDB0LT0jAkJFz28f0abu6++26GDBnCr371q8tqZEuR4UaSWhe3Ili7s5h3V+dSXOGZPt4zKZh7pnWgX3LzzKzyVSC5WEXn/DIH5mAd145s2Bil9uz8mjh6o5Zxt/Wn2+DLf+OULo89O5vi1atxV1aijYxEbTCg2O24iovRmExETp582QHHr+Fm/vz5LFy4kKuvvpr+/fuj0+lq3P7QQw81vsXNSIYbSWqdbA43n24s5KPv8rE5PKOOR/b1DDpOjPbfIFNfBRJfzC6TPCqKq1jz9m5yMzw1cfqMSGLkjX3R6WuXJJD8TygKRV99hS0zE31CQq3XtiM7G2NyMlHTpl3WJSq/hpuUlJSLH0yl4sSJE405XLOT4UaSWrfiCifvr81l1Q/FKAI0arg6PZrbJ8Rh9vGgY18GksupCyTVprgVflhxlB2rj4GAiHgTk+cMJipBVixubo6CAgqWLUNjMqEJCqp1u9tqxV1ZScz116OPiWnyeRrz/t3ovwQZGRlNbpgkSdLligzV8dD1SVw7Iob/rMjmh8MVfL6lkLU7i7l1fBzXjohG76OFOQvKnGQV2Ig162uN8VGpVMSY9ZzKt1FQ5rxkIKmyu3E4BQZ93W0z6tUUlQuq7HL19IZQa9SkX9OTxO5RrH13NyW5lXz89+8ZeUMf+o7sJGviNCPFZkM4nagNdfegqvV6XE4nis3WbG26rL8AQgjaWQ1ASZICROc4I8/M7sLzd3ehSwcjVXaF/67M4d6Fh1i/uwRFufy/TQ0JJE5XwwJJsEGDXqfC7lDqvN3mUNBpVQQb5KWVxujYM5pbHhtNpz4xuJ0K3y3Zz6r/7sRW5WzpprUbaqMRlU6HYrfXebvicKDS6VAbm288WZPCzbvvvkv//v0JCgoiKCiIAQMG8N577/m6bZIkSZc0qFso/3ygB3NvSiIqTEd+qZO/LTnFb/51lL0nKi/r2L4MJDFmHUkxRvLLHLU+FAohKChz0CnWSIxZd5EjSBcTHGrg6l8OYcT1vVFrVJzYncvSv2wk50RxSzetXdBFRWHo0AFXcXGdr21XcTGGhAR0UVHN1qZGh5uFCxdy3333MW3aNJYuXcrSpUu56qqr+NWvfsULL7zgjzZKkiTVS6NWMSktkjd/24tZk+MJ0qs5esbK7984zjPvZXC6oGnd4b4MJGq1ihF9zZiDdWTm27DY3LgVgcXmJjPfhjlEx/A+ZjmYuIlUahUDr+zCDXNHEBYdTGWJlc9e3MqOVcd80osnXZxKrSY0LQ2NyYQjOxu31Ypwu3FbrTiys9GEhhI6eLDP6t00qE1NGVA8b948Zs2aVWP7O++8w9NPPx3wY3LkgGJJavtKKpwsXpfHih+KUBRQq2HqkCh+NiGOiNDG9Yz4aomJ84/nq4rOUt0cVicblu7n6I/ZACT2iGLirIGEmOXv15/qrHOTkEDo4MGBX+fGaDSyf/9+unXrVmP70aNH6d+/P7ZmHDDUFDLcSFL7cSrfxn9X5rDtp3IAgvRqbhwTww2jYghqxNgWXwcSWaHY/4QQHN52mu8+OoDL4cZo0jPh56l07hvb0k1r01ptheJ+/fpx++2384c//KHG9ueee44lS5awb9++xre4GclwI0kN11behPeeqOQ/K7I5ctoKQESolp9PjGdKWiQaTcMeT1v5XbQ3JbmVrH57F0VnPAE3dXwKw2b0QtMGlvFob/wabj755BNmzpzJxIkTGTlyJACbNm1i3bp1LF26lOuvv77pLW8GMtxIUsO0tWUChBBs3FfGW6tyyC12AJAUY+CuqzqQ3jtMTh1uw1xON1uWH2LfhpMAxHQyM3n2IMwxIS3bMKlR/BpuAHbs2MELL7zATz/9BEDv3r357W9/y6BBg5rW4mYkw40kXVpbXibA6VL4elsR//smj/IqzxTufskh3D21A706yTe7tixjby7fLN6LvcqJzqBh7Mz+9BiS2NLNkhrI7+GmNZPhRpLq116WCbDY3Hy0IZ9l3xfgcHn+DI7ub2b25A4k+HE5B6llVZZYWfPObnKOe6aJ9xrWkdE39UVn8G11a8n3GvP+3aCLjuXl5TW+r++rKV555RWSk5MxGo2kp6ezffv2Bt3vww8/RKVScd111zXpvJIk1daYqrytWYhRw+wpHXjzkV5MSotApYKN+8r45aLDvPrFGUorXS3dRMkPTBFBXPtgOldM7Y5KBYe2nubjv2+iOKeipZsm+VCDwk1ERAT5+fkAhIeHExERUeurentjLVmyhLlz5/LUU0+xc+dOUlNTmTJlivd8F3Py5EkeeeQRRo8e3ehzSpJ0cb6sytsaxJj1zL2pE6882IMreoTicguWby7k7r//xJJv87yLdEpth0qlold6R8bd1p8gk96zdMOC7zm45ZSsut9GNOiy1IYNGxg5ciRarZYNGzbUu+/YsWMb1YD09HSGDBnCyy+/DICiKCQlJfHggw/y2GOP1Xkft9vNmDFjuOuuu9i4cSOlpaV89tlnDTqfvCwlSfVr7ws87jpWwX9X5HAs2zOzKipMx6xJ8UwYHIGmFV+GkzyKcyvI2JNHSV4lbqcbARSdKaesoAqA7lckMHZmf/RGeZkq0Ph84czzA0tKSgpJSUm1uquFEGRlZTWqoQ6Hgx07dvD44497t6nVaiZOnMiWLVsuer9nnnmG2NhY7r77bjZu3Nioc0qSVL/qqrzHsqvobKg95qagzEH3xOA2u0zAoG6hvHi/iQ17S3l7VQ75pU5e+CSLZd8XcNfUDlzRI1TOrGqlinMr2PftSawWB6ZwI1pDEC67CyEEhmA9BadKOfpjNvmZpUyeM5iYJHNLN1lqokZH05SUFHJycoiNrVkIqbi4mJSUFNzuhndVFxYW4na7iYuLq7E9Li6OQ4cO1Xmf77//nv/85z/s3r27Qeew2+3Yz1vMq6njgiSpvaheJqCg1Elmvq3OqrytZZmAptamUatVjB8Ywci+Zr7cWsQH6/M4mWfjybczSO1q4u6pHeieGNwMj0DyFaEIMvbkYbU4iIg3eQOqPkhHpFGLSqUiumMnTh3Ip6ygik8Wbmbk9b3pN7qzDLOtUKPDjRCizie6srISo59X/KyoqOCOO+7gjTfeIDo6ukH3mT9/PvPmzfNruySprekUa+TakdHeOjdF5Z6qvN0Tg1vNMgG+qNOj16m5YXQMk66IYOm3+SzfXMie45U89PJRxg4IZ9bkeBKi5Myq1qCixEpJXiWmcGOdA+VN4UZsFidTf3EFP6w4ysl9eWz86ABnjhQx/vYBGILbZk9lW9XgqeBz584F4MUXX+Tee+8lOPjcpxa32822bdvQaDRs2rSpwSd3OBwEBwfz8ccf15jxdOedd1JaWsry5ctr7L97924GDRqERnNuHICieAb7qdVqDh8+TNeuXWvcp66em6SkJDnmRpIaoLVW5fVXnZ68Egfvrcnlm90lCAFajYppQ6O47co4wk1yjEYgK8ou58cVRzHHmep8DStuhbICC1dc1Z3IDqHs3XCSLZ/9hOIWhEYGMXnOIOKSGz9pRvIdn4+5Adi1axfg6bnZt28fev25gYR6vZ7U1FQeeeSRRjVUr9eTlpbGunXrvOFGURTWrVvHAw88UGv/Xr161Vre4U9/+hMVFRW8+OKLJCUl1bqPwWDAYJCfrCSpKdRqVbMPGr7cQKUogs0Hyiirctao0xNs1NDZYCQz38aWg2V0jDY0OqjFReh55JZO3DA6hv+uyGHH0Qo+31LImp3F3DQ6lhtGR2PUN3zNKqn56AxaNDoNLrsLfVDtXhiXw41Gq0Fn8FyiSh2XQocuEax+axflhVUse2EL6TN6MnB8F1StIOC3d40u4jdnzhxefPFFn/V6LFmyhDvvvJPXXnuNoUOHsmjRIpYuXcqhQ4eIi4tj1qxZJCYmMn/+/DrvP3v2bDlbSpLaCF9cSmrO2V4XzqyKCNXy8wnxTLmi4WtWSc1DKIKda45TcLqsxpgb8HxoL8mtJCbJzOCJXWuEF7vVybcf7OP4rhwAOveN5cqfpxJkanszBQOdX3puqi1atAiXq3Zxq+LiYrRabaMDw8yZMykoKODJJ58kNzeXgQMHsnLlSu8g41OnTqH20YqikiQFrotdSjqWXUVBqbPBl5IaUqenqNw3dXqqZ1Z9t6+Ud1bnklvs4KXPTrNsUwGzp3RgRB+5ZlWgUKlVpKTGUVlipSTXM/ZGq9fgcripLLURFKInZUBcrV4ZQ5COyXMGcbBHFN9/cpDMA/ks/etGJt05iIRukS30aKRLaXTPzdSpU5k+fTq//vWva2x/9dVX+fzzz/n666992kBfkz03khR4fLnkQ0vV6XG6FL7efnbNKosnOPXuFMxdUzvQL9nks/NIl6dGnRuX51JURLyJlAFxRMaH1nvfwjPlrP7vTkrzLahUMOTqHgye1A0VngHLTrsLnUFLaESQvHTlB35dWyoyMpJNmzbRu3fvGtsPHTrEyJEjKSoqanyLm5EMN5IUeHwZSFp6bSyLzc0n3+Xz6feF2J2eCQ/Deocxe0oHOscF/iyz9kAooslhxGl38d3S/RzefgaAuJRwErpGYSmz4Xa60eg0RMSZSEm9dFiSGsfna0udz26313lZyul0YrVaG3s4SZIkny75UF2nxxysIzPfhsXmxq0ILDY3mfk2v9fpCTFqmDW5A/99pBdTh0aiVsPWn8r59YuHWfRJFoWtfE2utkClVhEWFUxUQhhhUcGN6mXRGbRMuGMgV/48FY1OTV5GKXu/zcBpd2GOM2EM0VFwuox9356kOFeuV9VSGh1uhg4dyuuvv15r+6uvvkpaWppPGiVJUvsSbNCg16mwX2QdJ5tDQadVEWxo2Eyk6jo93RKCKa9ycabQTnmVi+6JwVw7omnTwBsrMkzHQ9cn8erDPRnR14wiYNWPxdzzj594e1UOFlvbWJurveo5JJG+IzqhM2pxuxQy9uaRc6wYnVFLRLwJq8VBxt48hCLXqmoJjb4stWnTJiZOnMiQIUOYMGECAOvWreOHH35g9erVAb+QpbwsJUmBx1+XkgKpTs/BTAv/WZHNwUzPGkahQRpuuzKOq9Oj0OvkpInWpryoiu1fHUFv1JB7spTCLE/1+9DIILoMjEcoApvFydCrexAWJatZ+4Jfx9yAp5jeggUL2L17N0FBQQwYMIDHH3+c7t27N7nRzUWGG0kKTOfPlqpryYfm6nHxJyEEW38q562VOWQVeIqLxph1/GxiHBMHNX36eCCFuPbiwqKARdkVZO7PQ3ELtHoNKf1jURTBFVd1JypBvtf4gt/DTWsmw40kBa7z69w4XZ4lHzrFGlvNkg8N5XYL1uws5v21eRSVe8bgJEYbmDUpnlH9GjceyBe1gaTGq+65MYbovEUBbZUOju/OwVrhACAqIZQp96QRHhPSkk1tM5ot3NhsNhwOR41tgR4YZLiRpMDWnnoh7E6Fr7YWseTbPMqrPGNwunQwcufkDgzpeenVx/21zIR0aRcrCuh2K5w6WEDRac9lqo49opg4exDBobJS/uXya7ipqqrid7/7HUuXLq1z2ndjVgVvCTLcSJIUaCw2N59tKuCTjQVY7Z5B1X06B3Pn5A4M6FJ3jZyWnvIueWrm7Pv2JFaLo1ZRQLvFQe7JUtxOheAwA5NmDyKxe1RLN7lV8+tU8EcffZRvvvmGf//73xgMBt58803mzZtHQkIC7777bpMbLUmS1F6FGDX8bEI8bz/am5vGxKDXqjiYWcXv3zjOH/97nCOnq2rdp6DMSVaBjVizvs5VrmPMek7l2yiQU8/9JjI+lP7jkonpaMZmcVJWYMFmcRKTZGb0Lf24+dFRRMSbqCq38/lLW9mx6picPdVMGt1z06lTJ959913GjRtHWFgYO3fupFu3brz33nt88MEHskKxJEnSZSoqd/LBN3ms/KEI99nZ8SP7mrljUry3EGBGrpX/rcujY4wBTR09M25FcKbQzm1XxpESH9SczW936isKeGHRv069Y5gwa6Bcm6oJ/NpzU1xcTJcuXQDP+Jri4mIARo0axXfffdeE5kqSJEnniwrT8cB1HXnjt72YMCgClQo2HSjj1y8e5u9LT5FbbPd5bSCp6eorCqgzaLny56mMv30AGp2aUz8VsPSvG8k5UdyCLW77Gh1uunTpQkZGBgC9evVi6dKlAHzxxReEh4f7tHGSJEntWYdIA4/c0ol/P9yTkWcLAa7bVcK9Cw/z0YZ8osJ05Jc5uLADXghBQZmDTrFGYsy6Fmq9VE2lUtF7eBI3PTKS8NgQLKU2PntxK7vWHpeXqfyk0ZelXnjhBTQaDQ899BBr165l+vTpCCFwOp0sXLiQhx9+2F9t9Ql5WUqSpNbqcFYV767JYefRSgB0WhVJMQaizVoSooxtsjZQW+OwudiwZB9Hf8wGoHPfWCbckYoxRF6mupRmrXOTmZnJjh076NatGwMGDLicQzULGW4k6f/bu/Pwpup0gePfkzRL0yVt6UahtCCt7EtBGUBQRmxhEEFQkcsA4i4ggyig1xH0zii4gguCgyOoAwM6CDouIMOmQEVFQKBYoLQU7JKWtumaJk3O/aNDJLZs0jZd3s/z5Hlszi/nvOfXI3n7W0VT9+OJUt79Mtu92rHOR6FtmIHIYD2+Bk2zXBuoOVFVlZTdp9j5r8M4q1z4B/uSOKU3ke2DvR1ao1ZvyY3D4WDYsGEsW7asSaxGXBtJboQQzYGqqnyXWsK7X2ZzItsGgL+vllEDQrl9cBgGvYy1aezyT1vZ9M4PWPPK0WgU+o/qRI8h7S+6vlFLVa8tN2FhYezevVuSGyGEaARcLpWvDxXx/pc5/HymelHVyGA9E2+K5IaeQbLGTSNnr3Cw7Z8HSduXDUD77hEM+WNPjCYZK/Vr9ZrcPPLIIxgMBhYuXHhFQXqLJDdCiOaoyqny5fcF/GNLDoUlVUD1asd3JbWmb/zFVzsW3qOqKoe+Psmu9UdwVbkICPEl8e4EImKCvB1ao1Kvyc3DDz/Me++9R1xcHH369MHPz3PPjFdeeeXyI25AktwIIZozm93Jhl35fLjDQvl/Vzvu3t6Pu4e1plM72eOoMbNkWvnynb0Un6lA46Phuls703VQjCSm/1Wvyc2QIUPOfzJFYevWrZdzugYnyY0QoiUoLqti7Q4L/07Ox1FV/c/8wK5mJidGEi0DjRutynIHW1cdIP3HXADi+kZxw53d0Rl8vByZ99VLcnPixAnat2/6A50kuRFCtCSWIjv/+E8OW34oxKWCRoHEviFMuDGSUFkDp1FSVZUDW9NJ/uQnVJdKcKQ/SfckEBIZ4O3QvKpekhutVkt2djbh4eEAjBs3jtdee42IiIgrj7gBSXIjhGiJTubaWLkpm2+OVO9WrfdRGDUwlNuvDyfA95dWgZa0K3tjl3W8gC9X/EB5cSU+ei1Dxncnrm8bb4flNfWS3Gg0GnJyctzJTUBAAAcOHHBvxdBUSHIjhGjJDmeUsWJTNoczygDwN2q544ZwbhkQSm6hnd2HrZzKs2F3qOh1CtFhRgZ0lTVzvKW8uJLN7+7j56NnAOg2KIaBt3ZGq2t5U/0lubkASW6EEC2dqqp8+1MJKzdlk5FbvUZOkL8P0aEGAvw0RAQZMOg1VNpdWKx2zCYdowbKascNobZNOFXgu8+PsnfTcQDC25lJvDuBwFYm7wbbwC7n+/uSRygpilJjvE1TH38jhBAtkaIo9OscSN+rA9i2v5D3NueQV+SgqLSKQJMW7VUaosMMmIxaYgxGTlpsJKdYaRtqkC6qelSQU0L6gVwKc0txOpxodVqCI/xp3zOCfjdfTWT7YP7z3n4smVY+fGEnN07sSWy3pjU0pKFcVsvN8OHDMRgMQPVGmb///e9rTAX/6KOP6j7KOiQtN0II4el0no0X1p7kZG4l9v/OrAoz6+h7dQAhATrKbE6Ky6uYdFNrIoJlD6T6UJBTwsHtGVSU2fEPMuJj8KGqsorSIhu+fnq63xBLSGQAJQXlbPr7D1gyrQD0SerINX+IbxFJZ7203EyePNnj5z/+8Y+/LTohhBCNisOpEhFsoHsHf46equBIZhl5Vgcbvy0grq0v3WL9cFSplFc6vR1qs6S6VNIP5FJRZic40t/dK6L31RFs9KEwp5T0H3MJDvcnIMTErTP7s2v9EQ59fZK9m46Tk17ITZN7Ywo0ePlOGo9LTm5WrFhRn3EIIYTwEpNBi16noLqg51X+xLXx5YdjJZy0VHL0dAUZOTY6RFXvOi7qXklhBYW5pfgHGWsd/uEfZKQwp5SSwgoCW5nQ6rQMvqMbrTsEs+2fB/n56Bk+eP5rEqckENUxxEt30bjIkyqEEC1cmFlHdJgRi9WOqqqYjFqu6x7Ejb2DMftpsVep/JRZwfNrMjl6utzb4TY7jsoqnA4nPudZqM9Hr8VZ5cRRWeXxflzfNtw2eyDBkf6UF1fy8evfsG9LGpe5Nm+zJMmNEEK0cBqNwoCuZswmHSctNspsTpwulQCTli6xJjq1M2HUa0g9Vc7MN4/x+vrTFJdVXfzE4pLoDD5odVqqKmuv0yq7E62PttZVikMiA7jtsYHE9Y1Cdakkb/iJjW/vpbLcUd9hN2qXvf1CUycDioUQonaZFpt7nRtHlYrOR6FduJH+Xcz4G7W8/UUW2/YXARDgq+WuYa1J6huCtgUMZq1Pqkvlh81p5J22eoy5gepp+4U5pYRFm0kYehXKeepaVVUO78pk57oUXFUuAkNNDLsngdC25oa6jXpXr3tLNXWS3AghxPldbIXig+mlvPnJz2TkVK+PE9fGl6m3tJFNOa9QjdlSei1VdmeN2VIXY8ksYtPff6CkoAKtj4Zr/hBHuy5h6I06AoJ9z5scNQWS3FyAJDdCCHFlnE6Vf3+Tz/ubc9w7jyf1DeGupNYE+csGj7+Vxzo3VdVdUcGR/rTvEXFZ+0rZyuxsfHsvWccLAAgI8SWifTCtWgfQvuflnasxuZzv70Yx5mbJkiXExsZiNBrp168f33777XnLfvTRR/Tt25egoCD8/Pzo1asX77//fgNGK4QQLZtWqzB6YBjLH+3E0IRgADZ9X8B9L//Ep8n5OF0t6m/mOhMSGUDCTVdx7Yh4+g6L49oR8SQMveqyk5HykkqCwv0Ibu0PQElBBadT88lKO8PB7RkU5JTUR/iNitdbbtauXcukSZNYtmwZ/fr1Y/HixXz44Yekpqa6t3o41/bt2yksLKRTp07o9Xo+/fRTHn30UT777DOSkpIuej1puRFCiLp1OKOMNz85zYns6q6qq6J8mXZLGzrHSFdVQ/v1+J2SggpO7M/576BkDaHRgcR2i7jg+J3Gqkl1S/Xr149rrrmGN954AwCXy0V0dDQPP/wwjz/++CWdIyEhgREjRvCXv/zlomUluRFCiLrndKl8vucM732ZQ6mterG/oQnB3D2sNcEBuis+v+xWfmmKz5Tz7WdHMfrp0PtW17u9wkHa/hzKiqqTz5DWAQy7rw9BYU0r+Wwy3VJ2u529e/cydOhQ93sajYahQ4eSnJx80c+rqsqWLVtITU1l8ODBtZaprKykuLjY4yWEEKJuaTUKI/uHsvzRq0nsW72Q3H9+KOS+V37i4915V9RVlWmx8cEOC+9tzmb1llze25zNBzssZFpsdRV+s1Hbmjl6Xx1X92tLWLvqmVMF2SVsfX8/FaV2b4VZ77ya3OTn5+N0OomI8Nz4KyIigpycnPN+zmq14u/vj16vZ8SIEbz++uvcdNNNtZZdsGABZrPZ/YqOjq7TexBCCPGLIH8dj4yN5pWHOtIxypcym4tl/85i5pJjv2kBwEyLjY935XM8qxyzyYe2YQbMJh+OZ5Xz8a58SXB+5Xxr5mg0CjFdw4nuHIqiUchJL+LDF3ZiySzyTqD1rFEMKL5cAQEB7N+/n++++45nn32WWbNmsX379lrLPvHEE1itVvfr1KlTDRusEEK0QJ3b+bF4WhzTR7fB36jleFYFM988xpufnKbMdml7VLlcKrsPW7GWO4gJN2IyatFqlOrdysONWMsdJKdYcckAZreAYF+CI/wpLbLVWKlYVVV0Bh+6DYrBHGqitLCCjxYlk7Irs9mtauzVOXuhoaFotVpyc3M93s/NzSUyMvK8n9NoNHTs2BGAXr16ceTIERYsWMANN9xQo6zBYHDvZC6EEKLhaDUKI/qFMqCLmeWfVy8A+O/kM+w8ZOWBm6MY3D2oxl5K58qzOjiVZyPcrK91z6Uws55Mi408q0N2K/8vRaPQvmcEpYUVFOaU1rpmTtfr2nHtiHi2vn+A9IO5bF9zkJyMQgbf3g0fvdbbt1AnvNpyo9fr6dOnD1u2bHG/53K52LJlC/3797/k87hcLiorK+sjRCGEEFcoOEDHnHExPHdPB9q00lNYUsXCf2by5xUnyMo//7/d5ZVO7A4Vw3k27DTqNbJbeS1CIgPofkMsYW3N2MocWPPKsJU5CIs2uxcDNPjqGHZvH3438moUBX765jQfLdqNNb957B3m9dWWZs2axeTJk+nbty/XXnstixcvpqysjClTpgAwadIk2rRpw4IFC4DqMTR9+/blqquuorKyks8//5z333+fpUuXevM2hBBC/MqvZzj17ODPm3+6mg+/srB2u4UfjpXy4Kup3HlDBLddH4bexzOJObtbeaXdhclYs0XBZneh81EwGZpHa0NdCokMIDjcn5LCChyVVegMPjVWKFY0CgmJHQmPCWLzyn3kny7mXy98zdDJvYnpWnMplqbE68nNuHHjyMvLY968eeTk5NCrVy82btzoHmScmZmJRvPLA19WVsbUqVM5ffo0vr6+dOrUiX/84x+MGzfOW7cghBDiV87dp8ruUNHrFKLDjAzoambCjZHc0DOYJR+fZt/xUt7/Tw7bDhQyfVRbel7l7z7H2d3Kj2eVE2Mw1thzKc9qJ66NiTDzlU81b44UjUJgK9NFy7W9OpTb5lzHl+/8QG5GEZ8t+46+w+LoOzyuyU639/o6Nw1N1rkRQoj6dXaGk7XcQbhZj0GvodLuwmK1YzbpGDUwlHbhRlRVZceBIv72WRaFpdWze27sHcy9f2hNkL+uxrnCzHqMeg02u4s8qx2zn45RA6rPJa6c0+Fk1/ojHPr6JADRncO4aXIvjH6NYzxTk1rEr6FJciOEEPXH5VL5YIelurUlvGZry0mLjbg2Jm4fHO5uFSitcPLul9l8tucMqgr+vlqmDGvNsL4haDTKBXcrl8Sm7qV+e5odaw5S5XAREOJL0j0JhLcL8nZYktxciCQ3QghRf3IL7by3ORuzyafWcTJlNifF5VVMuql1jRlOqafKeW39Kfc2Dp3bmXh4dFvat/aVFYobWP7PxWx8ey/F+eVofDQMvr0rXQa082pMTWaFYiGEEM3LlcxwujraxGvT4rl/RBS+eg1HMsuZ/sZR3v48i0qHi4hgPe0jfYkI1ktiU89C2wRy++zriO0egavKxfZ/HmTrqgNU2ZvGzDRJboQQQtSZc2c41eZiM5y0WoVbrwvjrVlXM7CbGZcL1n2dxwOLUklOsdZn6OJXDCYdw+/tQ79zpouvX7yb4iYwXVySGyGEEHXm7Awni9Ve6wq5eVY77cKNF53hFGbW8+cJsTwzuT0RwXryrA7+7/0MnnkvHUvRle2J5HKp5BbaSc+pILfQLiscX4CiUeiT2JGbp/bD6K8n71QxH764k5OHLd4O7YJkzI0QQog6VdcznGx2F2u25fKvryw4XdVdW5NuiuSW/qFotZfXPXWhKeoyOPnCSgor2PT3H7CcLAIF+g6L45phcR5r59QnGVB8AZLcCCFE/auPGU4nc228tv4UKSeru0U6RvkyY0xb4tpcfC2XszFdyhR1cX5Oh5OdH6VweGcmAO06hzG0gaaLS3JzAZLcCCFEw6iPGU4ul8qm7wt454tsSm1ONArcMiCUSTdF4nuBlYp/yxR1cX4/7TnNjrUHcf53uviwe/sQFm2u12tKcnMBktwIIUTTV1Di4G+fZrHjxyKgeqzP1Fva8LsutX/BXskUdVG7/NPFbPx79XRxrY+GQXd0pUv/+psuLlPBhRBCNGshAToeHx/DX+5qT+R/Bxw/834Gf/1HBvlWR43ysgln3QttG8hts68jpls4zioX21cfZNvqH6lyeL8OJbkRQgjRZPW9OpClM6/m9uvD0Ghg12Er9y/6iU925+M8ZxbUlU5RF7UzmnT84b6+XHtzPChwJPkU/3pxJ5kpForPlKN6aSaadEsJIYRoFtKzK3h1/WlST1UPOL66rYkZY9rS4b8rHMuYm/qVsjuTnf9KocrhROujoX2PCFpFBdK+ZwQhkQFXfH7plhJCCNHitG/ty8sPdmTaLW0wGTSkni7n4TeO8vcvsrBXuRjQ1YzZpOOkxUaZzYnTpVJmc3LSYsPsp6N/F7MkNr9RQU4JeZlWouJC8A3QExXXClOggbzTVg5uz6Agp6RB45GWGyGEEM3OmWIHy/79MzsPVa9qHBGsZ9qoNkQE62UTzjqmulR+2JxG3mkrwZH+qCooCiiKgqqqFOaUEhZtJmHoVVe0Js7lfH/7/OarCCGEEI1Uq0AdT06IZc+RYt785DS5hXbmrUxncI8g7hveGqeKbMJZR0oKKyjMLcU/qLq775wePxRFwT/ISGFOKSWFFQS2urQ1ia6UdEsJIYRotvp1DmTZzKsZMygMjQJf/VjEg6+m8v3RYmLCjbIJZx1wVFbhdDjxMdTeXuKj1+KscuKorGqwmCS5EUII0az5GrTc94coXp0eR1wbX8psLt7Y8DOz/3acjJwKb4fX5OkMPmh1WqrOk7xU2Z1ofbTozpP81AdJboQQQrQIHaNMLJoax4M3R+Gr15ByspyH3zjGe19mY3fUPkVcXFxAsC/BEf6UFtlq3Sy1tMhGcKQ/AcG+DRaTJDdCCCFaDK1GYdTAMN565Gp+1zmQKqfKP7dZmPpqKj+eKPV2eE2SolFo3zMCXz89hTml2CscuJwu7BUOCnNK8fXT075HRINtsAkyW8rb4QghhPASVVXZddjK0k9+pqCkukslqW8I9wxvTYBJ5ttcroKcEtIP5FKYW4qzqrorKjjSn/Y9Gn6dG0luhBBCtGilFU5WbMrm8z1nAAjy9+GBm6O4vkeQx2J/4uJUl0pJYQWOyip0Bh8Cgn3rrMVGkpsLkORGCCFEbQ5nlPHq+lOcslQC0Dc+gOmj28pGmo2ErFAshBBCXKausX688XA8E4dG4qNV+P5oCQ8sSmX9zjyczhbVDtDkSXIjhBBC/JfeR8P/3BjB0j/F0629H5UOF3/7LItHlh7jeFa5t8MTl0i6pYQQQohauFwqX+4t4O+fZ1Nqc6LRwK0Dw/jj0AiMetk9vKFJt5QQQghxhTQahWHXtOKtWVczuEcQLhes+zqPhxYfZe/RYm+HJy5AWm7Ow+l04nA4GjAy0RTpdDq0WvkLToiW4Nufilny8WksRdXfDUN6BXH/iCiC/HVejqxlkNlSF3CxylFVlZycHIqKiho+ONEkBQUFERkZKVNGhWgBKiqdvLc5h0925+NSIcBXy30johiaECz/BtQzSW4u4GKVk52dTVFREeHh4ZhMJnlYxXmpqkp5eTkWi4WgoCBat27t7ZCEEA0k9VQ5r60/xYlsGwCd25kYNySc2Ahf2WW8nkhycwEXqhyn08nRo0cJDw+nVatWXopQNDVnzpzBYrEQHx8vXVRCtCBVTpUVm7L5eFceThdoFIiNNDKwq5nrugfRLtzo7RCblctJbmR96XOcHWNjMpm8HIloSs4+Lw6HQ5IbIVqQrDOV2Cpd9OrozylLJZYiByeybeQW2knLsjE5KfKyExyXSyXP6qC80onJoJVWoN+oUcyWWrJkCbGxsRiNRvr168e333573rLLly9n0KBBBAcHExwczNChQy9Y/reQrihxOeR5EaLlcblUdh+2Yi13cHVbE0MTgunfJRC9j0KZzcXuFCuvrT9Fuc15yefMtNj4YIeF9zZns3pLLu9tzuaDHRYyLbZ6vJPmyevJzdq1a5k1axbz58/nhx9+oGfPniQlJWGxWGotv337dsaPH8+2bdtITk4mOjqaxMREfv755waOXAghREuVZ3VwKs9GuFmPoigoikKH1r6M7B9KbER1a83hjHIeXJzK3qMlFz1fpsXGx7vyOZ5VjtnkQ9swA2aTD8ezyvl4V74kOJfJ68nNK6+8wn333ceUKVPo0qULy5Ytw2Qy8c4779RaftWqVUydOpVevXrRqVMn3n77bVwuF1u2bGngyC9Mdbmw5+VhO3UKe14eqsvl7ZBaJEVR2LBhg7fDEEI0M+WVTuwOFYPe82vUqNcwsJuZwT3MGHQKeVYHf15xgpc+yKS4rKrWc53bChQTbsRk1KLVKJiMWmLCjVjLHSSnWHG5WtQQ2Svi1eTGbrezd+9ehg4d6n5Po9EwdOhQkpOTL+kc5eXlOBwOQkJCaj1eWVlJcXGxx6u+VWZlceazz8hbv578Tz4hb/16znz2GZVZWfV63ZycHB5++GE6dOiAwWAgOjqakSNHNrrErz48/fTT9OrVq8b72dnZDB8+vOEDEkI0ayaDFr1OodJe+x+uIQE6+nUO5KY+wSgKbNlXyH2LfmLb/kJ+PY/n161A51IUhTCznkyLjTyrrL12qbya3OTn5+N0OomIiPB4PyIigpycnEs6x9y5c4mKivJIkM61YMECzGaz+xUdHX3FcV9IZVYWBV9+ie3kSbT+/ugjI9H6+2M7eZKCL7+stwQnIyODPn36sHXrVl588UUOHjzIxo0bGTJkCNOmTauXa9aF+l4oMTIyEoPBUK/XEEK0PGFmHdFhRixWe41kRVVV8qx2OrT2ZeaYaF55sCOxEUaKy5y8sDaTeSvTyS20u8ufrxXoLKNeg6NKpbzy0sfvtHRe75a6EgsXLmTNmjWsX78eo7H2EelPPPEEVqvV/Tp16lS9xaO6XJTs3YuztBR9VBRaX18UjQatry/6qCicpaWU/PBDvXRRTZ06FUVR+Pbbbxk7dizx8fF07dqVWbNm8c033wCQmZnJqFGj8Pf3JzAwkDvuuIPc3Fz3Oc62frz//vvExsZiNpu58847KSn5pb/4X//6F927d8fX15dWrVoxdOhQysrK3MfffvttOnfujNFopFOnTrz55pvuYxkZGSiKwtq1a7n++usxGo0sXboUX19fvvjiC4/7Wb9+PQEBAZSXV29UN3fuXOLj4zGZTHTo0IGnnnrKnRitXLmSZ555hgMHDrj7vleuXAl4dksNGDCAuXPnelwnLy8PnU7HV199BVS39D322GO0adMGPz8/+vXrx/bt26/gNyOEaI40GoUBXc2YTTpOWmyU2Zw4XSplNicnLTbMfjr6dzGj0Sh0aufHa9PjmHTTL7uNP7g4lQ278nC61Iu2AtnsLnQ+CiaDzMa8VF5NbkJDQ9FqtR5fsAC5ublERkZe8LMvvfQSCxcu5Msvv6RHjx7nLWcwGAgMDPR41RfHmTNUZmfjExJSa9OiT0gIlVlZOM6cqdPrFhQUsHHjRqZNm4afn1+N40FBQbhcLkaNGkVBQQE7duxg8+bNnDhxgnHjxnmUTUtLY8OGDXz66ad8+umn7Nixg4ULFwLVXTzjx4/n7rvv5siRI2zfvp0xY8a4/2pZtWoV8+bN49lnn+XIkSM899xzPPXUU7z77rse13j88cf505/+xJEjR7j99tu5+eabWb16tUeZVatWMXr0aPc064CAAFauXElKSgqvvvoqy5cvZ9GiRQCMGzeORx99lK5du5KdnU12dnaN+wKYMGECa9as8fgra+3atURFRTFo0CAApk+fTnJyMmvWrOHHH3/k9ttvZ9iwYRw7duyyfidCiOavXbiRUQND6Rhlori8ip/zKykuryKujYlRA0I9poHrfDSM/30Eb86Ip1usHza7i7c+zeLRpccpq6i6aCtQu3AjYWbZ5uFSeXWdG71eT58+fdiyZQujR48GcA8Onj59+nk/98ILL/Dss8+yadMm+vbt20DRXpzLZkN1ONCcpxtEo9dT5XDgstXtqPfjx4+jqiqdOnU6b5ktW7Zw8OBB0tPT3V1z7733Hl27duW7777jmmuuqb4Hl4uVK1cSEBAAwMSJE9myZQvPPvss2dnZVFVVMWbMGGJiYgDo3r27+xrz58/n5ZdfZsyYMQC0b9+elJQU3nrrLSZPnuwuN3PmTHcZqE46Jk6cSHl5OSaTieLiYj777DPWr1/vLvPnP//Z/d+xsbE89thjrFmzhjlz5uDr64u/vz8+Pj4XTIrvuOMOZs6cyc6dO93JzOrVqxk/fjyKopCZmcmKFSvIzMwkKioKgMcee4yNGzeyYsUKnnvuuQv9GoQQLVC7cCNtQw2XvDZNdLiR5++7io3fFfD3L7JIPV3OjCXHSOwbgr/Rh5MWG2FmPUa9BpvdRZ7V7tEKJC6N1xfxmzVrFpMnT6Zv375ce+21LF68mLKyMqZMmQLApEmTaNOmDQsWLADg+eefZ968eaxevZrY2Fj32Bx/f3/8/f29dh8AGqMRRafDVVmJ1te3xnGX3Y6i06E5Txfab3Upi0wfOXKE6OhojzFHXbp0ISgoiCNHjriTm9jYWHdiA9C6dWv3tPyePXty44030r17d5KSkkhMTOS2224jODiYsrIy0tLSuOeee7jvvvvcn6+qqsJsNnvE8uuE9A9/+AM6nY5PPvmEO++8k3Xr1hEYGOgxjmrt2rW89tprpKWlUVpaSlVV1WW3woWFhZGYmMiqVasYNGgQ6enpJCcn89ZbbwFw8OBBnE4n8fHxHp+rrKyUFauFEOel0ShEBOsvq/wf+rWiX+dA3vzkZ3YftvLFtwVEBOvodVUAxeVVnClW0fkoxLUx0b+LWVY7vkxeT27GjRtHXl4e8+bNIycnh169erFx40b3IOPMzEw0ml96z5YuXYrdbue2227zOM/8+fN5+umnGzL0GnStWmFo3RrbyZNooqI8uqZUVaWqoABjbCy6Ov6ijIuLQ1EUfvrppys+l07n2eypKAqu/44R0mq1bN68md27d/Pll1/y+uuv8+STT7Jnzx5399Hy5cvp16+fxzl+vWrvr7vO9Ho9t912G6tXr+bOO+9k9erVjBs3Dh+f6sczOTmZCRMm8Mwzz5CUlITZbGbNmjW8/PLLl31/EyZMYMaMGbz++uusXr2a7t27u1ufSktL0Wq17N27t0bM3k6chRDNT6tAHU/9MZZdh4p485OfyS10sOn7Am7oGcSogaGEBuplheLfyOvJDVSPczhfN9SvB3NmZGTUf0C/kaLRENCnD44zZ7BnZeETEoJGr8dlt1NVUIA2IICAhAQUTd0OdQoJCSEpKYklS5YwY8aMGslDUVERnTt35tSpU5w6dcrdepOSkkJRURFdunS59HtUFAYOHMjAgQOZN28eMTExrF+/nlmzZhEVFcWJEyeYMGHCZd/DhAkTuOmmmzh8+DBbt27lr3/9q/vY7t27iYmJ4cknn3S/d/LkSY/P6/V6nM6LzyQYNWoU999/Pxs3bmT16tVMmjTJfax37944nU4sFou720oIIerbwG5B9LwqgHc2ZvHFtwVsP1DEjydKmTqq7WW1CIlfNIrkpjkxREURkphIyd69VGZnU+VwoOh0GGNjCUhIwPDfsRx1bcmSJQwcOJBrr72W//u//6NHjx5UVVWxefNmli5dSkpKCt27d2fChAksXryYqqoqpk6dyvXXX3/J45b27NnDli1bSExMJDw8nD179pCXl0fnzp0BeOaZZ5gxYwZms5lhw4ZRWVnJ999/T2FhIbNmzbrguQcPHkxkZCQTJkygffv2Hq0/cXFxZGZmsmbNGq655poa43GgujstPT2d/fv307ZtWwICAmqdAu7n58fo0aN56qmnOHLkCOPHj3cfi4+PZ8KECUyaNImXX36Z3r17k5eXx5YtW+jRowcjRoy4pHoSQojL5e+rZcat0QzpFcyrH53m5/xK/vqPDAZ2MzP1ljaEBMhg4suitjBWq1UFVKvVWuNYRUWFmpKSolZUVFzxdVxOp1ppsagVmZlqpcWiupzOKz7nxWRlZanTpk1TY2JiVL1er7Zp00a95ZZb1G3btqmqqqonT55Ub7nlFtXPz08NCAhQb7/9djUnJ8f9+fnz56s9e/b0OOeiRYvUmJgYVVVVNSUlRU1KSlLDwsJUg8GgxsfHq6+//rpH+VWrVqm9evVS9Xq9GhwcrA4ePFj96KOPVFVV1fT0dBVQ9+3bV2v8c+bMUQF13rx5NY7Nnj1bbdWqlerv76+OGzdOXbRokWo2m93HbTabOnbsWDUoKEgF1BUrVqiqqqqAun79eo9zff755yqgDh48uMZ17Ha7Om/ePDU2NlbV6XRq69at1VtvvVX98ccfa41ZVev2uRFCiEq7U12xMUv9w//uV4c9vl+97emD6sbv8lWXy+Xt0LzqQt/fv6ao6iWMRm1GLrRlus1mIz09nfbt25933Rwhfk2eGyFEfUjLqmDxulMcz6oAoNdV/swY05bWIS1zYdILfX//WpNexE8IIYRorq6K8mXx1DjuGd4avY/C/rRSHlqcykdfVy/+J85PkhshhBCikdJqFW4bHM7SP11Nzw7+VDpUln+exaylx0jPrvB2eI2WJDdCCCFEIxcVamDBvR3405i2+Bk1HD1dwcNvHOW9L7OxV9X9lj5NnSQ3QgghRBOgKArDrmnFW490YkBXM04X/HObhemvHeVwRtnFT9CCSHIjhBBCNCFnF/97ckIMwf4+nMqrZPbfjvPmx6dl5/D/kuRGCCGEaIKu6xbEW7OuJrFvCKoK//7mDA8uSuXbn4q9HZrXSXIjhBBCNFEBvj48Mjaa5+7pQGSInjyrg/nvpvP8mpMUljjILbSTnlNBbqEdVwuaYSUrFAshhBBNXO+OASz9Uzzvb85lw648th8oIjnFylVRvgT7+2DQa4gOMzKga8vYhFNabsQl2b59O4qiUFRU5O1QhBBC1MKo13LfiCjm3tmOAF8tlQ6VlJPlnMi2odMqHM8q5+Nd+WRabN4Otd5JclNPVJdK8ZlyzmQVU3ymHLWemwPvuusuFEXhwQcfrHFs2rRpKIrCXXfdVa8x1JWnn36aXr16eTsMIYRoclwulawzdrq1N9GjvR8aBbIL7GzZV4TdoVJUZic5xdrsu6ikW6oeFOSUkH4gl8LcUpwOJ1qdluAIf9r3jCAkMqDerhsdHc2aNWtYtGgRvr6+QPXWAKtXr6Zdu3b1dt1LZbfb0etlh1shhKgveVYHp/JsRAYbMLXW0i7CyDdHism3OvgutYRWgT641OpyzXnHcWm5qWMFOSUc3J5B3mkrRj8d5gh/jH468k5bObg9g4Kcknq7dkJCAtHR0Xz00Ufu9z766CPatWtH79693e9VVlYyY8YMwsPDMRqNXHfddXz33Xce5/r888+Jj4/H19eXIUOGkJGRUeN6O3fuZNCgQfj6+hIdHc2MGTMoK/tlrYXY2Fj+8pe/MGnSJAIDA7n//vsBmDt3LvHx8ZhMJjp06MBTTz2Fw+EAYOXKlTzzzDMcOHAARVFQFIWVK1cCUFRUxL333ktYWBiBgYH8/ve/58CBA3VVfUII0eSVVzqxO1QM+uqvd7OfDzf1CaZPXABaDZwpruLbIyV8kty8t3CQ5KYOqS6V9AO5VJTZCY70R++rQ6NR0PvqCI70p6LMTvqPufXaRXX33XezYsUK98/vvPMOU6ZM8SgzZ84c1q1bx7vvvssPP/xAx44dSUpKoqCgAIBTp04xZswYRo4cyf79+7n33nt5/PHHPc6RlpbGsGHDGDt2LD/++CNr165l586dTJ8+3aPcSy+9RM+ePdm3bx9PPfUUAAEBAaxcuZKUlBReffVVli9fzqJFiwAYN24cjz76KF27diU7O5vs7GzGjRsHwO23347FYuGLL75g7969JCQkcOONN7rjFkKIls5k0KLXKVTaf1m1WKModGpnYsTvWhFm1uFS4aOv83l06XEycprnFg6yK/g5rnR35+Iz5Xz72VGMfjr0vroax+0VDmxlDq4dEU9gK9Nvvofa3HXXXRQVFbF8+XKio6NJTU0FoFOnTpw6dYp7772XoKAglixZQnBwMCtXruR//ud/AHA4HMTGxjJz5kxmz57N//7v//Lxxx9z+PBh9/kff/xxnn/+eQoLCwkKCuLee+9Fq9Xy1ltvucvs3LmT66+/nrKyMoxGI7GxsfTu3Zv169dfMPaXXnqJNWvW8P333wPVY242bNjA/v37Pc49YsQILBYLBsMvO+J27NiROXPmuFuFvEF2BRdCNBYul8oHOywczyonJtyIoijuY6qqkpFbASjsP15KeaULH63CnUPCueP6cHQ+jbu943J2BZcxN3XIUVmF0+HEx+Bb63EfvRan1YajsqreYggLC2PEiBGsXLkSVVUZMWIEoaGh7uNpaWk4HA4GDhzofk+n03Httddy5MgRAI4cOUK/fv08ztu/f3+Pnw8cOMCPP/7IqlWr3O+pqorL5SI9PZ3OnTsD0Ldv3xoxrl27ltdee420tDRKS0upqqq66IN64MABSktLadWqlcf7FRUVpKWlXfCzQgjRUmg0CgO6mskrcnDSYiPMrMeo12Czu8iz2gny1zNqQCgPjdTyxsen2XOkmH/8J5edh6w8Mjaa+LZ1+4e3t0hyU4d0Bh+0Oi1VlVW1ttxU2Z1ofbToDPVb7Xfffbe7e2jJkiX1co3S0lIeeOABZsyYUePYuYOX/fz8PI4lJyczYcIEnnnmGZKSkjCbzaxZs4aXX375otdr3bo127dvr3EsKCjoN92DEEI0R+3CjYwaGMruw1ZO5dk4U6yi81GIa2Oif5df1rmZPzGWHT8WsfTfP5ORY+ORN48xZlAYfxwaiUHXuFtxLkaSmzoUEOxLcIQ/eaetBBt9ajQHlhbZCIs2ExBce8tOXRk2bBh2ux1FUUhKSvI4dtVVV6HX69m1axcxMTFAdbfUd999x8yZMwHo3Lkzn3zyicfnvvnmG4+fExISSElJoWPHjpcV2+7du4mJieHJJ590v3fy5EmPMnq9HqfTc3+UhIQEcnJy8PHxITY29rKuKYQQLU27cCNtQw3kWR2UVzoxGbSEmavHgZ6lKAo39Aym11UBvPXpz2w/UMS/vsoj+bCVmWOj6dbe34t3cGWadmrWyCgahfY9I/D101OYU4q9woHL6cJe4aAwpxRfPz3te0SgnPNw1QetVsuRI0dISUlBq9V6HPPz8+Ohhx5i9uzZbNy4kZSUFO677z7Ky8u55557AHjwwQc5duwYs2fPJjU1ldWrV7tnLJ01d+5cdu/ezfTp09m/fz/Hjh3j448/rjGg+Nfi4uLIzMxkzZo1pKWl8dprr9UYkxMbG0t6ejr79+8nPz+fyspKhg4dSv/+/Rk9ejRffvklGRkZ7N69myeffNI9VkcIIcQvNBqFiGA97SN9iQjWeyQ25wry92HunTHMnxhLq0Affj5jZ/bf0pr0RpyS3NSxkMgAut8QS1hbM7YyB9a8MmxlDsKizXS/IbZe17k5V2Bg4HnHsSxcuJCxY8cyceJEEhISOH78OJs2bSI4OBio7lZat24dGzZsoGfPnixbtoznnnvO4xw9evRgx44dHD16lEGDBtG7d2/mzZtHVFTUBeO65ZZbeOSRR5g+fTq9evVi9+7d7llUZ40dO5Zhw4YxZMgQwsLC+Oc//4miKHz++ecMHjyYKVOmEB8fz5133snJkyeJiIi4gpoSQggB8LsuZpbN7MSwa0KA6o04H1qcyt6jTW8jTpktdY66nPWiulRKCitwVFahM/gQEOxb7y02wjtktpQQornZd7yE1z46TU6hHYChCcHcPyKKAJP3RrNczmwpabmpJ4pGIbCViVZRgQS2MkliI4QQosno3TGApTPjGTUgFEWB//xQyAOLUtl1qMjboV0SSW6EEEIIUYNRr+XBkW146YGORIcZKCyt4q+rTvLsqgwKSxzeDu+CJLkRQgghxHl1ifHjjYfjGXdDOBoN7Dxk5YFFqWz5oYDGOrJFkhshhBBCXJBep+GupNa8Oi2ODq2NlFQ4eenDU8xbmU5ekd3b4dUgyY0QQgghLknHKBOvTotncmIkPlqF74+W8MDiVD7bk4+rEW3EKcmNEEIIIS5Z9X5UESyZEU/ndiYqKl28seFnHn87jaz8Sm+HB0hyI4QQQojfoF24kRcf6MgDN0dh0Gk4mF7G1NdSWfe1BaeXW3EkuRFCCCHEb6LVKIweGMbSmfH0usqfSofK259n8+jS41Q6XF6Ly+vJzZIlS4iNjcVoNNKvXz++/fbb85Y9fPgwY8eOJTY2FkVRWLx4ccMFKoQQQohatQ4x8Nw9HfjTmLaYDBraRRi8uvmmV5ObtWvXMmvWLObPn88PP/xAz549SUpKwmKx1Fq+vLycDh06sHDhQiIjIxs42qZLURQ2bNgAQEZGBoqisH//fq/EsnLlStnFWwghmiFFURh2TSveeqQT94248FY89c2ryc0rr7zCfffdx5QpU+jSpQvLli3DZDLxzjvv1Fr+mmuu4cUXX+TOO+/EYDA0cLSXx+VSyS20k55TQW6hvd5Hkd91112MHj261mPZ2dkMHz68Xq8vhBBCAISadQT4em+bBgCvXd1ut7N3716eeOIJ93sajYahQ4eSnJxcZ9eprKyksvKX0dvFxfW/AVimxcbuw1ZO5dmwO1T0OoXoMCMDupppF97wew81RCuX3W5Hr9fX+3WEEEKIi/Fay01+fj5Op7PGjs4RERHk5OTU2XUWLFiA2Wx2v6Kjo+vs3LXJtNj4eFc+x7PKMZt8aBtmwGzy4XhWOR/vyifTYqvX69fm3G6ps3766ScGDBiA0WikW7du7Nixw+P4oUOHGD58OP7+/kRERDBx4kTy8/Pdx2+44QamT5/OzJkzCQ0NJSkpCahujevevTt+fn5ER0czdepUSktL6/0ehRBCiLO8PqC4vj3xxBNYrVb369SpU/V2LZdLZfdhK9ZyBzHhRkxGLVqNgsmoJSbciLXcQXKKtVEsdDR79mweffRR9u3bR//+/Rk5ciRnzpwBoKioiN///vf07t2b77//no0bN5Kbm8sdd9zhcY53330XvV7Prl27WLZsGVDd+vbaa69x+PBh3n33XbZu3cqcOXMa/P6EEEK0XF7rlgoNDUWr1ZKbm+vxfm5ubp12oxgMhgYbn5NndXAqz0a4WY+ieO4CrigKYWY9mRYbeVYHEcHe7cKZPn06Y8eOBWDp0qVs3LiRv//978yZM4c33niD3r1789xzz7nLv/POO0RHR3P06FHi4+MBiIuL44UXXvA478yZM93/HRsby1//+lcefPBB3nzzzfq/KSGEEF7lcqnkWR2UVzoxGbSEmXVoNMrFP1jHvJbc6PV6+vTpw5YtW9wDYV0uF1u2bGH69OneCuuKlFc6sTtUDPraG8SMeg1nilXKK50NHFlN/fv3d/+3j48Pffv25ciRIwAcOHCAbdu24e/vX+NzaWlp7uSmT58+NY7/5z//YcGCBfz0008UFxdTVVWFzWajvLwck8lUT3cjhBDC2xrTeFOvDmeeNWsWkydPpm/fvlx77bUsXryYsrIypkyZAsCkSZNo06YNCxYsAKoHraakpLj/++eff2b//v34+/vTsWNHr93HWSaDFr1OodLuwmTU1jhus7vQ+SiYDDWPNSalpaWMHDmS559/vsax1q1bu//bz8/P41hGRgY333wzDz30EM8++ywhISHs3LmTe+65B7vdLsmNEEI0U2fHm1rLHYSb9Rj0GirtLo5nlZNX5GDUwNAGTXC8mtyMGzeOvLw85s2bR05ODr169WLjxo3uQcaZmZloNL+0gmRlZdG7d2/3zy+99BIvvfQS119/Pdu3b2/o8GsIM+uIDjNyPKucGIPRo2tKVVXyrHbi2pgIM+u8GGW1b775hsGDBwNQVVXF3r173S1mCQkJrFu3jtjYWHx8Lv0R2bt3Ly6Xi5dfftn9e/vggw/qPnghhBCNxq/Hm5797jMZtcQYjJy02EhOsdI21NBgXVTenYhO9diP83VD/TphiY2NRVW9Pxj3fDQahQFdzeQVOThpsRFm1mPUa7DZXeRZ7Zj9dPTvYq63X67Vaq2xOF+rVq1qLbtkyRLi4uLo3LkzixYtorCwkLvvvhuAadOmsXz5csaPH8+cOXMICQnh+PHjrFmzhrfffhuttvaWp44dO+JwOHj99dcZOXKkx0BjIYQQzVNjHG/a7GdLNbR24UZGDQylY5SJ4vIqfs6vpLi8irg2JkYNqN9mue3bt9O7d2+P1zPPPFNr2YULF7Jw4UJ69uzJzp07+eSTTwgNDQUgKiqKXbt24XQ6SUxMpHv37sycOZOgoCCPlrRf69mzJ6+88grPP/883bp1Y9WqVe4uRSGEEM3TpYw3dVQ17HhTRW3MTSH1oLi4GLPZjNVqJTAw0OOYzWYjPT2d9u3bYzReWRLSWEaMi/pXl8+NEEI0NbmFdt7bnI3Z5FPreNMym5Pi8iom3dT6ilpuLvT9/Wte75ZqrjQaxevTvYUQQoj61hjHm0q3lBBCCCF+s7PjTc0mHSctNspsTpwulTKbk5MWW72PN62NtNwIIYQQ4oqcHW96dp2bM8UqOh+FuDYm+ndpYevcCCGEEKJ5aBdupG2ooVGMN5XkRgghhBB1orGMN5UxN7VoYRPIxBWS50UIIRoXSW7OodNVj+QuLy/3ciSiKTn7vJx9foQQQniXdEudQ6vVEhQUhMViAcBkMtVYbVGIs1RVpby8HIvFQlBQ0HlXbhZCCNGwJLn5lcjISAB3giPExQQFBbmfGyGEEN4nyc2vKIpC69atCQ8Px+FweDsc0cjpdDppsRFCiEZGkpvz0Gq18qUlhBBCNEEyoFgIIYQQzYokN0IIIYRoViS5EUIIIUSz0uLG3JxdcK24uNjLkQghhBDiUp393r6UhVNbXHJTUlICQHR0tJcjEUIIIcTlKikpwWw2X7CMorawteNdLhdZWVkEBATIAn2/QXFxMdHR0Zw6dYrAwEBvh9PiSP17l9S/d0n9e5e3619VVUpKSoiKikKjufComhbXcqPRaGjbtq23w2jyAgMD5R8XL5L69y6pf++S+vcub9b/xVpszpIBxUIIIYRoViS5EUIIIUSzIsmNuCwGg4H58+djMBi8HUqLJPXvXVL/3iX1711Nqf5b3IBiIYQQQjRv0nIjhBBCiGZFkhshhBBCNCuS3AghhBCiWZHkRgghhBDNiiQ3LdBXX33FyJEjiYqKQlEUNmzY4HE8NzeXu+66i6ioKEwmE8OGDePYsWMeZXJycpg4cSKRkZH4+fmRkJDAunXrPMoUFBQwYcIEAgMDCQoK4p577qG0tLS+b6/Rq4v6T0tL49ZbbyUsLIzAwEDuuOMOcnNzPcpI/dduwYIFXHPNNQQEBBAeHs7o0aNJTU31KGOz2Zg2bRqtWrXC39+fsWPH1qjfzMxMRowYgclkIjw8nNmzZ1NVVeVRZvv27SQkJGAwGOjYsSMrV66s79tr9Oqq/mfMmEGfPn0wGAz06tWr1mv9+OOPDBo0CKPRSHR0NC+88EJ93VaTURf1f+DAAcaPH090dDS+vr507tyZV199tca1vPn8S3LTApWVldGzZ0+WLFlS45iqqowePZoTJ07w8ccfs2/fPmJiYhg6dChlZWXucpMmTSI1NZVPPvmEgwcPMmbMGO644w727dvnLjNhwgQOHz7M5s2b+fTTT/nqq6+4//77G+QeG7Mrrf+ysjISExNRFIWtW7eya9cu7HY7I0eOxOVyuc8l9V+7HTt2MG3aNL755hs2b96Mw+EgMTHR4/l+5JFH+Pe//82HH37Ijh07yMrKYsyYMe7jTqeTESNGYLfb2b17N++++y4rV65k3rx57jLp6emMGDGCIUOGsH//fmbOnMm9997Lpk2bGvR+G5u6qP+z7r77bsaNG1frdYqLi0lMTCQmJoa9e/fy4osv8vTTT/O3v/2t3u6tKaiL+t+7dy/h4eH84x//4PDhwzz55JM88cQTvPHGG+4yXn/+VdGiAer69evdP6empqqAeujQIfd7TqdTDQsLU5cvX+5+z8/PT33vvfc8zhUSEuIuk5KSogLqd9995z7+xRdfqIqiqD///HM93U3T81vqf9OmTapGo1GtVqu7TFFRkaooirp582ZVVaX+L4fFYlEBdceOHaqqVtelTqdTP/zwQ3eZI0eOqICanJysqqqqfv7556pGo1FzcnLcZZYuXaoGBgaqlZWVqqqq6pw5c9SuXbt6XGvcuHFqUlJSfd9Sk/Jb6v9c8+fPV3v27Fnj/TfffFMNDg52/z5UVVXnzp2rXn311XV/E03Yldb/WVOnTlWHDBni/tnbz7+03AgPlZWVABiNRvd7Go0Gg8HAzp073e8NGDCAtWvXUlBQgMvlYs2aNdhsNm644QYAkpOTCQoKom/fvu7PDB06FI1Gw549exrmZpqgS6n/yspKFEXxWEjLaDSi0WjcZaT+L53VagUgJCQEqP6r1OFwMHToUHeZTp060a5dO5KTk4Hq+u3evTsRERHuMklJSRQXF3P48GF3mXPPcbbM2XOIar+l/i9FcnIygwcPRq/Xu99LSkoiNTWVwsLCOoq+6aur+rdare5zgPeff0luhIezD/ETTzxBYWEhdrud559/ntOnT5Odne0u98EHH+BwOGjVqhUGg4EHHniA9evX07FjR6B6TE54eLjHuX18fAgJCSEnJ6dB76kpuZT6/93vfoefnx9z586lvLycsrIyHnvsMZxOp7uM1P+lcblczJw5k4EDB9KtWzeguu70ej1BQUEeZSMiItx1l5OT45HYnD1+9tiFyhQXF1NRUVEft9Pk/Nb6vxSX8jtq6eqq/nfv3s3atWs9ur29/fxLciM86HQ6PvroI44ePUpISAgmk4lt27YxfPhwjy3mn3rqKYqKivjPf/7D999/z6xZs7jjjjs4ePCgF6Nv+i6l/sPCwvjwww/597//jb+/P2azmaKiIhISEjx+R+Lipk2bxqFDh1izZo23Q2mRpP69qy7q/9ChQ4waNYr58+eTmJhYh9FdGR9vByAanz59+rB//36sVit2u52wsDD69evn7uJIS0vjjTfe4NChQ3Tt2hWAnj178vXXX7NkyRKWLVtGZGQkFovF47xVVVUUFBQQGRnZ4PfUlFys/gESExNJS0sjPz8fHx8fgoKCiIyMpEOHDgBS/5dg+vTp7oHWbdu2db8fGRmJ3W6nqKjI46/X3Nxcd91FRkby7bffepzv7GySc8v8eoZPbm4ugYGB+Pr61sctNSlXUv+X4nz1f/ZYS1cX9Z+SksKNN97I/fffz5///GePY95+/uXPPHFeZrOZsLAwjh07xvfff8+oUaMAKC8vB6jRSqDVat2zdfr3709RURF79+51H9+6dSsul4t+/fo10B00beer/3OFhoYSFBTE1q1bsVgs3HLLLYDU/4Woqsr06dNZv349W7dupX379h7H+/Tpg06nY8uWLe73UlNTyczMpH///kB1/R48eNAjgdy8eTOBgYF06dLFXebcc5wtc/YcLVVd1P+l6N+/P1999RUOh8P93ubNm7n66qsJDg6+8htpouqq/g8fPsyQIUOYPHkyzz77bI3reP35b5Bhy6JRKSkpUfft26fu27dPBdRXXnlF3bdvn3ry5ElVVVX1gw8+ULdt26ampaWpGzZsUGNiYtQxY8a4P2+329WOHTuqgwYNUvfs2aMeP35cfemll1RFUdTPPvvMXW7YsGFq79691T179qg7d+5U4+Li1PHjxzf4/TY2V1r/qqqq77zzjpqcnKweP35cff/999WQkBB11qxZHmWk/mv30EMPqWazWd2+fbuanZ3tfpWXl7vLPPjgg2q7du3UrVu3qt9//73av39/tX///u7jVVVVardu3dTExER1//796saNG9WwsDD1iSeecJc5ceKEajKZ1NmzZ6tHjhxRlyxZomq1WnXjxo0Ner+NTV3Uv6qq6rFjx9R9+/apDzzwgBofH+/+f+rs7KiioiI1IiJCnThxonro0CF1zZo1qslkUt96660Gvd/Gpi7q/+DBg2pYWJj6xz/+0eMcFovFXcbbz78kNy3Qtm3bVKDGa/Lkyaqqquqrr76qtm3bVtXpdGq7du3UP//5zx7TKVVVVY8ePaqOGTNGDQ8PV00mk9qjR48aU8PPnDmjjh8/XvX391cDAwPVKVOmqCUlJQ11m41WXdT/3Llz1YiICFWn06lxcXHqyy+/rLpcLo8yUv+1q63uAXXFihXuMhUVFerUqVPV4OBg1WQyqbfeequanZ3tcZ6MjAx1+PDhqq+vrxoaGqo++uijqsPh8Cizbds2tVevXqper1c7dOjgcY2Wqq7q//rrr6/1POnp6e4yBw4cUK+77jrVYDCobdq0URcuXNhAd9l41UX9z58/v9ZzxMTEeFzLm8+/oqqqWn/tQkIIIYQQDUvG3AghhBCiWZHkRgghhBDNiiQ3QgghhGhWJLkRQgghRLMiyY0QQgghmhVJboQQQgjRrEhyI4QQQohmRZIbIYQQQjQrktwIIRolVVUZOnQoSUlJNY69+eabBAUFcfr0aS9EJoRo7CS5EUI0SoqisGLFCvbs2cNbb73lfj89PZ05c+bw+uuve+xmXBfO3WRRCNF0SXIjhGi0oqOjefXVV3nsscdIT09HVVXuueceEhMT6d27N8OHD8ff35+IiAgmTpxIfn6++7MbN27kuuuuIygoiFatWnHzzTeTlpbmPp6RkYGiKKxdu5brr78eo9HIqlWrvHGbQog6JntLCSEavdGjR2O1WhkzZgx/+ctfOHz4MF27duXee+9l0qRJVFRUMHfuXKqqqti6dSsA69atQ1EUevToQWlpKfPmzSMjI4P9+/ej0WjIyMigffv2xMbG8vLLL9O7d2+MRiOtW7f28t0KIa6UJDdCiEbPYrHQtWtXCgoKWLduHYcOHeLrr79m06ZN7jKnT58mOjqa1NRU4uPja5wjPz+fsLAwDh48SLdu3dzJzeLFi/nTn/7UkLcjhKhn0i0lhGj0wsPDeeCBB+jcuTOjR4/mwIEDbNu2DX9/f/erU6dOAO6up2PHjjF+/Hg6dOhAYGAgsbGxAGRmZnqcu2/fvg16L0KI+ufj7QCEEOJS+Pj44ONT/U9WaWkpI0eO5Pnnn69R7my30siRI4mJiWH58uVERUXhcrno1q0bdrvdo7yfn1/9By+EaFCS3AghmpyEhATWrVtHbGysO+E515kzZ0hNTWX58uUMGjQIgJ07dzZ0mEIIL5FuKSFEkzNt2jQKCgoYP3483333HWlpaWzatIkpU6bgdDoJDg6mVatW/O1vf+P48eNs3bqVWbNmeTtsIUQDkeRGCNHkREVFsWvXLpxOJ4mJiXTv3p2ZM2cSFBSERqNBo9GwZs0a9u7dS7du3XjkkUd48cUXvR22EKKByGwpIYQQQjQr0nIjhBBCiGZFkhshhBBCNCuS3AghhBCiWZHkRgghhBDNiiQ3QgghhGhWJLkRQgghRLMiyY0QQgghmhVJboQQQgjRrEhyI4QQQohmRZIbIYQQQjQrktwIIYQQolmR5EYIIYQQzcr/AwIQ54FpfD2PAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xozdwq3Cpz2nF/h06dKjS9uq2AWzcuJFjx47x0ksvERkZWcOVS75Ut69oknQJVq1aRWZmJl988QVffPFFlfvnzZvHuHHjKm07/9steN6gAR5//HHGjx9f7XlqegMCiI6OZufOnSxbtowlS5awZMkSPvroI6ZNm+ZNQPz73//OM888wz333MOLL75IeHg4arWaP/zhD97zn0+j0VR7rpq2i7NJk4qieBM+q9u34lvj66+/zsyZM73bk5KSvMmRCxcuZNOmTXz//fcsW7aMe+65h3/84x9s2rQJk8mEoihER0fXOCPt/F4x8Hx7rfgmvmfPnmqPqUlNz9Wdd97JXXfdVe0xvXr1qvHxbrnlFjZs2MCf/vQn+vTp472eq6++utrnoTFc7DkE+Mc//sHdd9/Nt99+y/Lly3nkkUeYNWsWmzZtIiEhodrj3W43Y8eOpaCggCeffJIuXboQFBTEmTNnuPvuuy96fcOGDeNvf/sbNpuNtWvX8pe//IXQ0FB69OjB2rVriYmJAagU3NTndT1t2jRee+01vvnmG2677Tb+97//ce2113oDd4ARI0Zw7Ngx73W///77vPHGG7z99tvcd999NbY9Li6OlJQUfvnlF5KTkxFCMHjwYKKionj00UdJT09n7dq1DBkypErAcuFr7FLU5Tmtr4ok9zZt2lzyY0iNSwY3UqOZN28e0dHRzJ07t8p9X3/9NYsWLeLtt9+u9Q2sXbt2gKfbecyYMZfUDr1ez6RJk5g0aRKKovDggw/yzjvv8Mwzz9ChQwcWLlzI6NGj+eCDDyodV1RU1KDfytq3b48QgpSUFDp16lTjftOmTas0jHLh32fQoEEMGjSIv/3tb/zvf//jjjvu4IsvvuC+++6jffv2/PTTTwwdOvSiHwyKonD33XcTEhLCH/7wB/7+979z8803c+ONN17S9UVFRREcHIzb7a73c1VYWMjKlSuZOXMmzz77rHd7dUMg9anem5SU5B0OOd/Bgwe991+Knj170rNnT/7617+yYcMGhg4dyttvv81LL71U7f579uzh8OHDfPLJJ0ybNs27vbbh0vMNHz4ch8PB559/zpkzZ7xBTEXvR0xMDJ06dfIGOUC9Xtc9evSgb9++zJs3j4SEBE6ePMlbb71VpR3h4eFMnz6d6dOnY7FYGDFiBM8//3ytwU1F+3/55RdSUlLo06cPwcHB9O7dG7PZzNKlS9m+fXulgL42SUlJ7N69G0VRKgVDl/qcVuxfXf2tmmpytW/fnoceeoj4+Ph6nUtqOnJYSmoU5eXlfP3111x77bXcfPPNVW4PP/wwpaWlF53OHR0dzahRo3jnnXfIzMyscn/FkE1Nzp9GDJ4u+Ireg4rhHI1GU+Vb3JdffllrLs+luPHGG9FoNMycObPK+YQQ3ra2a9eOMWPGeG9Dhw4FPAHAhcf16dOn0rXccsstuN1uXnzxxSrnd7lclQrfzZ49mw0bNvDuu+/y4osvMmTIEB544AHy8vIu6fo0Gg033XQTX331FXv37q1yf23PVcW36wuvb86cOVX2rchvqEuF4okTJ7JlyxY2btzo3Wa1Wnn33XdJTk6u1zAceCrUXjjlt2fPnqjV6mqn/Veo7vqEEJVKEtQmNTUVnU7HK6+8Qnh4ON27dwc8QcOmTZtYs2ZNlXyV+r6uf/Ob37B8+XLmzJlDREQEEyZMqHT/hf+XTCYTHTp0qPW6KwwfPpwTJ04wf/58bzvVajVDhgxh9uzZOJ3OKu2vycSJE8nKymL+/PnebS6Xi7feeguTyeQd6quruLg4evTowX//+18sFot3+5o1a2rszUxJSeHhhx+WwY0fkz03UqP47rvvKC0t5brrrqv2/kGDBnkL+k2dOrXWx5o7dy7Dhg2jZ8+e3H///bRr147s7Gw2btzI6dOna63Jct9991FQUMCVV15JQkIC6enpvPXWW/Tp08c7Rn/ttdfywgsvMH36dIYMGcKePXuYN2+et9eoobRv356XXnqJp59+mhMnTnDDDTcQHBxMWloaixYt4re//S2PP/54jcd/8skn/Pvf/2by5Mm0b9+e0tJS3nvvPUJCQpg4cSLgycv53e9+x6xZs9i5cyfjxo1Dp9Nx5MgRvvzyS958801uvvlmDhw4wDPPPMPdd9/NpEmTAPj444/p06cPDz74IAsWLLika3z55ZdZvXo1qamp3H///XTr1o2CggK2b9/OTz/9REFBQbXHhYSEMGLECF599VWcTifx8fEsX76ctLS0Kvv2798fgL/85S/ceuut6HQ6Jk2aVG1S51NPPcXnn3/OhAkTeOSRRwgPD+eTTz4hLS2Nr776qsowyMWsWrWKhx9+mClTptCpUydcLheffvqpN7CrSZcuXWjfvj2PP/44Z86cISQkhK+++qpS7aHaBAYG0r9/fzZt2uStcQOenhur1YrVaq0SHNT3dX377bfzxBNPsGjRIh544IEqxRC7devGqFGj6N+/P+Hh4fz6668sXLiQhx9++KLtr2jboUOH+Pvf/+7dPmLECJYsWeKtP1MXv/3tb3nnnXe4++672bZtG8nJySxcuJD169czZ84cgoOD6/Q45/v73//O9ddfz9ChQ5k+fTqFhYX861//okePHpUCngqLFi1i+vTprF69mlGjRtX7fFITaNK5WVKrMWnSJGE0GoXVaq1xn7vvvlvodDqRl5fnnbb52muvVbvvsWPHxLRp00RsbKzQ6XQiPj5eXHvttWLhwoW1tmPhwoVi3LhxIjo6Wuj1etG2bVvxu9/9TmRmZnr3sdls4o9//KNo06aNCAgIEEOHDhUbN24UI0eOrDQVtmK68IXTgD/66KNqp2hXTOnNzc2ttP2rr74Sw4YNE0FBQSIoKEh06dJFPPTQQ+LQoUO1Xsv27dvFbbfdJtq2bSsMBoOIjo4W1157rfj111+r7Pvuu++K/v37i4CAABEcHCx69uwpnnjiCZGRkSFcLpcYMGCASEhIEEVFRZWOq5j6PH/+/FrbAoiHHnqo2vuys7PFQw89JBITE4VOpxOxsbHiqquuEu+++653n+qmgp8+fVpMnjxZhIaGCrPZLKZMmSIyMjIEIJ577rlK53jxxRdFfHy8t15KxbTwC6eCC+F57dx8880iNDRUGI1GMXDgQPHDDz9U2qem5/bCdh4/flzcc889on379sJoNIrw8HAxevRo8dNPP9X69xJCiP3794sxY8YIk8kkIiMjxf333y927dpV5e9w4VTwCn/6058EIF555ZVK2zt06CAAcezYsUrb6/q6Pt/EiRMFIDZs2FDlvpdeekkMHDhQhIaGioCAANGlSxfxt7/9rVJZhNpER0cLQGRnZ3u3rVu3TgBi+PDhVfYfOXKk6N69e7WPlZ2dLaZPny4iIyOFXq8XPXv2rPQ3FELU+p5S3Wvqiy++EF26dBEGg0H06NFDfPfdd+Kmm24SXbp0qXJ8xf/51atXX/zCJZ9QCXEZWVWSJElSizF58mT27Nkj1387q0+fPkRFRdU5N0ryHzLnRpIkSSIzM5PFixfzm9/8xtdNaXJOp7NKLtXPP//Mrl275LBTMyV7biRJklqxtLQ01q9fz/vvv8/WrVs5duxYpTWeWoMTJ04wZswY7rzzTuLi4jh48CBvv/02ZrOZvXv3EhER4esmSvUkE4olSZJasTVr1jB9+nTatm3LJ5980uoCG/AU9uvfvz/vv/8+ubm5BAUFcc011/Dyyy/LwKaZkj03kiRJkiS1KDLnRpIkSZKkFkUGN5IkSZIktSg+z7mZO3cur732GllZWfTu3Zu33nqLgQMHVruv0+lk1qxZfPLJJ5w5c4bOnTvzyiuvcPXVV9f5fIqikJGRQXBwcL3KuEuSJEmS5DtCCEpLS4mLi7t4AU4f1tgRX3zxhdDr9eLDDz8U+/btE/fff78IDQ2tVOTpfE888YSIi4sTixcvFseOHRP//ve/hdFoFNu3b6/zOU+dOiUAeZM3eZM3eZM3eWuGt1OnTl30s96nCcWpqakMGDCAf/3rX4CnVyUxMZHf//73PPXUU1X2j4uL4y9/+QsPPfSQd9tNN91EQEAAn332WZ3OWVxcTGhoKKdOnSIkJKRhLkSSJEmSpEZVUlJCYmIiRUVFlVasr47PhqUcDgfbtm3j6aef9m5Tq9WMGTOm0iJ357Pb7RiNxkrbAgICWLduXZ3PWzEUFRISIoMbSZIkSWpm6pJS4rOE4ry8PNxuNzExMZW2x8TEkJWVVe0x48ePZ/bs2Rw5cgRFUVixYgVff/11tatFV7Db7ZSUlFS6SZIkSZLUcjWr2VJvvvkmHTt2pEuXLuj1eh5++GGmT59ea2LRrFmzMJvN3ltiYmITtliSJEmSpKbms+AmMjISjUZDdnZ2pe3Z2dk1VsiMiorim2++wWq1kp6ezsGDBzGZTLRr167G8zz99NMUFxd7b6dOnWrQ65AkSZIkyb/4LLjR6/X079+flStXercpisLKlSsZPHhwrccajUbi4+NxuVx89dVXXH/99TXuazAYvPk1Ms9GkiRJklo+n9a5mTFjBnfddRdXXHEFAwcOZM6cOVitVqZPnw7AtGnTiI+PZ9asWQBs3ryZM2fO0KdPH86cOcPzzz+Poig88cQTvrwMSZIkSZL8iE+Dm6lTp5Kbm8uzzz5LVlYWffr0YenSpd4k45MnT1bKp7HZbPz1r3/l+PHjmEwmJk6cyKeffkpoaKiPrkCSJEmSJH/T6hbOLCkpwWw2U1xcLIeoJEmSJKmZqM/nd7OaLSVJkiRJknQxMriRJEmSJKlF8fnCmZIk1Y1QFJz5+Sg2G2qjEV1EBKqLLR4nSZLUCsngRpKaAXtGBqXbtmHPzEQ4nah0Ogxt2hDcvz+GuDhfN0+SJMmvyOBGkvycPSODguXLcVssaMPDURsMKHY7tvR0nPn5hI8bJwMcSZKk88g+bUnyY0JRKN22DbfFgj4uDk1AACq1Gk1AAPq4ONwWC6XbtyMUxddNlSRJ8hsyuJEkP+bMz8eemYk2PLzKSrgqlQpteDj2jAyc+fk+aqEkSZL/kcGNJPkxxWZDOJ2oDYZq71fr9QinE8Vma+KWSZIk+S+ZcyNJfqCmmVBqoxGVTodit6MJCKhynOJwoNLpUBuNPmi1JEmSf5LBjST5WG0zofSxsRjatMGWno46Lq7S0JQQAldBAcbkZHQRET68AkmSJP8igxtJ8qG6zIQK7t8fZ34+jowMzz56PYrDgaugAE1wMMH9+sl6N5IkSeeR74iS5CN1nQmlj40lfNw4jElJuC0WHNnZuC0WjMnJhI8dW2UauFAUHLm52E6dwpGbK2dSSZLU6sieG0nykfrMhDLExaGPjb1ohWJZ7E+SJEkGN5LkM3WZCeU6byaUSq1GHxVV4+PJYn+SJEkeclhKknzk/JlQ1anPTChZ7E+SJOkcGdxIUiOqLf9FFxGBoU0bXAUFCCEqH3d2JpQhLq5OM6FksT9JkqRz5LCUJDWSi+W/qNTqBpsJVd8hLkmSpJZMBjeS1Ajqmv9iiIsjfNw4bxDkOhsEGZOTCe7Xr845MrLYnyRJ0jkyuJFahJoq/PqqLefnv1QME2kCAlDHxeHIyPBO8Vap1XWeCVWbiiEuWexPkiRJBjdSC+Bv05/rk/9SMfvpYjOhLqYhh7gkSZKaOxncSD7TEL0t9Zn+3NC9OzU9nq/yXxpqiEuSJKm5k8GN5BMN0dtSn+EfR1ZWg/bu1NZ+X+a/NMQQlyRJUnMngxupyTVUsbm6Dv9Y9++n9NdfG6y43cXaHzZmjE/zXy53iEuSJKm5k1/npDpriDWLGrLYXF2GfxSHg9KdOxusuF1d2m/ZuRNT375oTCYcGRm4y8sRbjfu8nIcGRky/0WSJKmRyZ4bqU4aKmn3UpJta1KX4R8UBVdBAbrIyMs+X33aH5KaKvNfJEmSfEQGN9JFNeSaRQ2ZbFuX6c+6iAichYUNltxbn/YbExNl/oskSZIPyHdZqVYNvWZRQ66nVDH9ubbhH1OfPp7hqQY4X23tF0IgXC5cJSUoTieOnBys+/ZRun07ZQcP4sjMRH32bydJkiQ1LtlzI9WqIYeRoOGLzV1s+rM+Nhbb8eOXdT53eTnO/HyceXnen2UHD4IQ3p4c4XJVOsa6c2fVB1KpCGjfnqCePTH17o2xbVsZ7EiSJDUCGdxItWromi3nF5uzn8nAERSBotajVhzorfloQ+qfbHux6c+1FbdTm0wEdOhA+fHjuPLzPcHLBTelrKzObUGlQm00ogkMRB0Q4L25Cgqwnz5N+dGjlB89St6iRWhCQjD17ImpVy+CevRAExRU9/NIkiRJNZLBjVSrxqjZYoiLQ91vBGmr91GUZsPtcqPRagmNSqZz326XlGxb0/RnoSioDQYCOnTAsnMn1v37UcrLPb0tbjeKzUbxzz9f9PE1QUFoIyPRhYd7kpO1WlwFBbjKylABKoMBY2IiwVdcgTE+vtrHcObnY9mzB8vu3ZTt34+7pITi9espXr/e06vToQPG5GT0kZHooqI8t8jIav/utRGKoLSwHKfdhc6gJTgsAJVadfEDL4M/LX8hSZIkgxupVo2xZlFBVikH91spD2qDOQI0KgW3UFNmg4P7reiiSwmPDa7TYwkhcJeW4szNxZGbizMnB2deHo68PJy5uTgLCsDtrv1B1Gq0YWHoIiJqvFUXvCkuN4VpmdhLyzAEBxKW0ga1VlPjaXQREYSNGkXYqFEIl4uyI0ew7NqFdc8e7GfOUH7kCOVHjlQ5ThMcjO5swKOPjETfpg3B/fpV29NTkFVK2q5sCrMtuJ1uNDoNYTEmUnrH1PlvWl/+tvyFJEmSSgghfN2IplRSUoLZbKa4uJiQkBBfN6dZqDJb6oI1i8LHjq1HVWHB9hXHyD1dTFisqUqwVJhlISrRTL8x7b29DcLl8gwr5eR4gpgLfl50SEyjQRcRgf5sT4guMtITtJz9qQ0NRaWpOSipTkMHEc68PKz79uHIzvYEaWeDM7fFUu3+Kr2ekIEDCRs1CmP79qhUKgqyStnz8wnKrQ5MoUa0Bi0uuwtLkY2AID09RyU3eIBT00w6V0EBGpOp3gUSJUmSalKfz28Z3Eh1Uu2387i4etdsKckvY8viwxiDdOgDdN7twuHAbbVSXmTBVlxO57A8dCXZnp6YggK4yMtUGxbm6dk4bzinIpjRhoU16BBJUwYR7vJyTw9Ubq63N6rs4EHsp0979zEkJGAeOZLj9njys8vrHDReLqEo5C9ejC09vdLyFxXndGRkYExOJmLiRDlEJUnSZavP57fPh6Xmzp3La6+9RlZWFr179+att95i4MCBNe4/Z84c/vOf/3Dy5EkiIyO5+eabmTVrFsZGWKdHOqch1ixyWSyUHkmnPCsbtcqGvcyC22LFXWZFOJ0ACFSUqYMpPLofk1LiPVal13uClehobwCjj472BjJqvb7Br7k6QhGk7cqm3OqoFEToA3SEGbUUZllI251NWLSpQYIITUAAmrZtMbZte64NQlB+7BhFq1dTsmUL9tOnSf/fIk4G9CQoJgK3oS3asDA42zaVSoUp1EhhloXSwnJCIgIvu13Q8DPpJEmSGopPg5v58+czY8YM3n77bVJTU5kzZw7jx4/n0KFDREdHV9n/f//7H0899RQffvghQ4YM4fDhw9x9992oVCpmz57tgytoXeqyZpG7rMwztFJxy8ry/luxWilXBeIwdEcodrRUnj6tNhpxG4MxGkxEdbuSsLbnghmN2VzlA9QXSgvLKcy2YAo1VvuB3hhBxIVUKhWBHToQ2KEDMbffTvGGDZxauQWlSIX7TDpFZ06gCTFjTGqLISEBtcGAVq/BXWzDaXdd/AR15KvVzyVJki7Gp8HN7Nmzuf/++5k+fToAb7/9NosXL+bDDz/kqaeeqrL/hg0bGDp0KLfffjsAycnJ3HbbbWzevLlJ293aKXZ7lcCl4uYuKan1WFOokdBAI6XqWAIjjGiDTWiCglAHBoJGQ2GWhdhEM0kNOHzSkJx2F26nG62h+hlMjRFE1EYTFET42LFo+g4hc/42yM1EyT6Nu6QY6549WPftQx8VjSomDrUpDJ2h4f7L+3L1c0mSpNr4LLhxOBxs27aNp59+2rtNrVYzZswYNm7cWO0xQ4YM4bPPPmPLli0MHDiQ48eP8+OPP/Kb3/ymxvPY7Xbs51WTLbnIh690jttqxZ6RgT0jA8fZn/aMDFz5+bUepwkJQR8biz4m5twtNhZ9dDRqg4HIC3JWVHoNTocbS66FgCA9Kb1i6h3YNNX0Z51Bi0anwWV3VcoZquByuNFoNQ0aRNRFSHggUR3iyDUGEd67G/bTp7GfOo2rqBB7dhbW3DLMagulzh1ohg4hsEuXy86DaYyZdJIkSQ3BZ8FNXl4ebrebmJiYSttjYmI4ePBgtcfcfvvt5OXlMWzYMM+bp8vF//3f//HnP/+5xvPMmjWLmTNnNmjbWxpXSQmOzEzsZ85UCmZcRUU1HqMxmbyBiy4mBkNsLLqzv1+sLkt4bDA9RyWfm21UbEOj1RCVaCalV/1nGzXl9OfgsADCYkye2V5GbZUPdEuRjahEM8Fh9atNc7lUahUpvWOwFJZTVODAFNeWkOQU7IUlFKVlYizIIqI0nZL1eylZvw5tWBghgwZhHjIEY2LiJZ5TXWuBRLn6uSRJvuKz2VIZGRnEx8ezYcMGBg8e7N3+xBNPsGbNmmqHmn7++WduvfVWXnrpJVJTUzl69CiPPvoo999/P88880y156mu5yYxMbHVzZYSQuAqLvb0wJwNYip6Y9ylpTUepw0PxxAX50kojovDEB+Pvk0btCbT5bepAXpbfDH9uco59RpcDnejnrM+bfMGei5PL1JYrImUHtEYLVkUb9hAydatKFar9xhDQgLmIUMIGTQIXXh4vc/ZUDPpJEmSatMspoI7HA4CAwNZuHAhN9xwg3f7XXfdRVFREd9++22VY4YPH86gQYN47bXXvNs+++wzfvvb32KxWFDX4RtiS58KXjEccGEvjD0jo9ZlBHRRUecCmPOCmfpWx21K9a2Z05BDVzUGEZfQ89TQLnaditOJZfduSjZswLJr17l1sVQqArt0wTxkCMFXXFGv515WKJYkqbE1i6nger2e/v37s3LlSm9woygKK1eu5OGHH672mLKysioBjOZs8bVWVq7HE8Tk52M7fbpyb0xmZs2zU1Qqz1DSBQGMoU2bGme8+LP6zFxyOd0NOnQVHhtMWLTposGSL5ZCUKlVtc7UUut0hPTvT0j//ritVkq2bqV4wwbKDx+m7MAByg4cIOu//yW4b19ChgzB1KMHKm3tbxV1mUknSZLUVHw6W2rGjBncddddXHHFFQwcOJA5c+ZgtVq9s6emTZtGfHw8s2bNAmDSpEnMnj2bvn37eoelnnnmGSZNmuQNcloid3m5J3g5dQr7qVPYTp/GfuoUSnl59QdoNBhiY6sEMfrYWNS6qkmwzVVdZy7lnynh5P7c84auAnDZXeSeLsZSWH7Jw0gXCyJ8sRRCfWmCgrxLQjhycynZtIniDRtwZGZSsmULJVu2oAkOJmTAAEIGDSKgQwfZIyNJkt/zaXAzdepUcnNzefbZZ8nKyqJPnz4sXbrUm2R88uTJSj01f/3rX1GpVPz1r3/lzJkzREVFMWnSJP72t7/56hIaVMWQki093XM7G8w4c3OrP0Cj8QQv8fGVhpT00dEX/abdEtRl5pJaoybjWEGTFd2rUDUXqGECqsakj4oictIkIq69Flt6OiUbNlC8aRPukhIKV62icNUqtOHhnkAnNRVjSkqj1B6SQ1ySJF0uufyCjwhFwZGZ6QliTp7EdvIk9vR03Oclep5PGxqKITERY2IihopbbGyrCGJqUpecm5CIQMqKbRhN+moDIEe5E5vVycBrOjVY0b1LWT/LXwm3G+u+fZRs3kzp9u2Vegt1UVGEpKYSkpqKISGhQQIduQinJEk1aRY5N62J4nBgP33aE8Sc7ZWxnz6NcDiq7qzRoG8ThxLXDk1UG4LaxhHeJRmdueUlP1+u86c/F2ZZqp25FNsujCNbz6Ctoe5MYxTd84cqxg1FpdFg6tULU69eKA4H1j17KNmyhdIdO3Dm5pL/ww/k//AD+jZtCElNxTx06CXn3tS0CKctPR1nfr5chFOSpDqTwU0Dc1utlXpibCdPYs/IAEWpsq/KYMCYmIgxKQlj27YYkpIo05o5sS/fk6dR4kZzSCGsKIeU3iq/G8bwBxermaPVaTi+M6tJi+75WxXjhqLW6wnu35/g/v1R7HYsO3dSsmULll27cGRmkvfNN+R9+y2mPn0IHzuWwK5d69ybIxSF0m3bcFsslRbh1AQEoI6Lw5GRQen27ehjY+UQlSRJFyWDmwZiPXiQzA8+qDE/RhMcjLFtW4xJSRjO/tTHxFR6oy7IKmVvM8vT8Ae1zVwSimjyonuNVcXYFzOvaqI2GLxDUu7ycizbt1O8YQPWffuw7NiBZccODPHxhI0di3nw4IvOxpOLcEqS1JBkcNNAypxa9pS0RW1IQG3QozMHozOb0YeGoAsLRWsKxKpRo1KrUNtVqI86UKedRq1WodaoUangxN4cSgrKCA4PoNzqQF3mRKVRYwjUUZxfxsFNp+k9KgWtXoNGp0ajVfvFYpL+oKaZS3UZurqU5R5q0xhVjP155pUmIADz0KGYhw7FnpFB4U8/UbR+PfYzZ8j6+GNyvvyS0BEjCLvyyhoDE7kIpyRJDUkmFDcAe0YGaT9tZdXWpo8V1RoVOp0anUGDLkCP3qhFZ9B6fjdoK/9u9PzUGyq2nf39vH20ek2LDJiauuheQ1Yx9kUV5svltlopWreOwp9+OtebqVIR3K8fYWPGeNa2Ou915sjNJXfRIjQmU7XFA93l5bgtFqImT5Y9N5LUSjWLCsW+0tDBTUUSpKWwnDPOaIRai+Jy4S63IbR6DIlJqAICUNzCc1MUFLdAKAJFEShuBUUROMqclOSXodaqQYDidiMUgRAgBGePV2j0Z0vlGVbRnw2OdAYtOuPZQOm8IMkQqMMYpMcYqMMQqMcYpPNsC9Shu6C3wl809bBOQwRUzX3mlVAULLt3U7hiBdZ9+7zbDQkJhI0Z4x2yEopC/uLF2NLTK+XcgOc6HRkZGJOTiZg4UebcSFIrJYObWjRkcNOQb8gl+WVsWXwYHQ5Efg5uSynCraDSqNGYglFFRONEz4CJHdGVF5K3fCXOUisqcxiKxoCj3Im9qBTFEIixWy9EYDBOmwun3Y3T7sJx3r/P3dye7Q7PdhrolaBWqzB4gx09hiBdtUGQIcjzuzFIT4BJ3+QraTeFyw2oKl4XxiBdk01lbyz2M2coWLmS4nXrvDMF1UFBhI0cSdiVV6I4HJVnS12wCGf42LFytpQktWJyKngTacgkyOCwAIIDFDJ3nyJIXY4mMAC1Rotwu3AWFWEtsBPXO4XgUCMFG3egLi8luO15AVWwHhEV7gmoHCeIGFO/b7hCEbicFYGQu5oAyIWj3IW1yIatzIHLoaC4FexlTmxlTuxWBzarE7fL0xNVXuqgvNQBVF+3pzpavYYAkx6jyRPsBJgMBATrq24z6QkIbh7B0MWqGF9MS5p5ZYiPp820aUTfdBNFa9dSuHKlZzr5jz+Sv2QJwf36YerbF2dBAY6sLFxn69wYk5PlIpySJNWL/386+LGGTYIURLnOkCcclKlDCAQ0gBsdZWodOreVSFcGzoKERplVolKrvMNQgdUExBVDLOUWhzehNTI+pEpCq8vh9gQ7ZZ5gx17mxGZ1nP15dnuZE7vVs91W5sRmceB2KbgcbkoLyiktqGFZiQtodWqMFcHO2YAnILgi+DEQeMHvGm3zG85orJlXvqQJCiLi6qsJHzcOy65dFKxYQdn+/ZRu20bptm0YEhIIGTSIwK5d0YaEyArFzZisNi35SvN5R/RDaqMRlU6HYrdXmwSpOByodDrURuNFH8uZn4+hNJOOySFklQpKrCoUO6jVEBYiiA1WYSjJwJGV5Q2ohIAyG7jcKrQaQaCxcWaV1GcpAa1eg0mvwRR68WuuIITAaXNRbnFQbnFgszgos9ixlTq82zzb7Z5/l54NhpwKlsJyLIV1C4YMAVpPsBN8rkco8Lzfz/+33k/yhhpj5pW/UKnVBPftS3Dfvp4hqxUrKN6wAfvp0+QuXIjGZCJ09GjCr7oKbWior5sr1ZOsNi35kgxuLoMuIgJDmzbY0tNRV5Nz4yoowJicjC4i4qKPVdELFBqrIzRcqRK0oGhxZDsBUOl0FBU6ySoN8ARBiicICgkSxAbbCapjQFUXQhGeHptGXJtJpVKhD/DklJijgi7eJiFw2t3nAp6KIKjUfi4YKrVTVnpum1AE9nIX9nIXRTkXHyrTaNWVeoICQwwEmM7rDaoUEOkbLRDyxVR2XzDEx9Pm7ruJnjKFol9+8QxZ5eWR//33FCxZQsjgwYSPH48xIcHXTZXqQFablnxNBjeXQaVWE9y/P878fBwZGdUmQQb361enbtgLe4GCAuD8DF/32V4gfUwM9uA2HNlnwaVTEWgErQZcbigsUVGaL+jaI65OAVVd+ONSAiqVCr3RM83dHHnxc3oCGyflpQ7KSu2egKfUQbnlXABUVrGt1I7T7sbtUrAU2rAUXrwHTKvXEBIRiDkykJDIsz+jgjBHBmIKD0Cjubxu+ItVYfa3aeCXQxMURMSECYSPG0fp9u0ULF1K+bFjFK9dS/HatQT16EH41VcT1L27X/SsSVXJatOSP5DBzWUyxMV53ojPdr9eahJk3XuBIsnVxuNUpRGklKAhANCgwU2gUo5VFUCeNo4UGuaNvyUktKrUKs+09SA9YbGmi+7vdLjPBUCldsos5/59LkA6+7vVgcvhpiCzlILM0mrPHRxmJCrRTJ8x7YlJCr2ka6itCnNLpNJoPKuPDxhA2ZEjFCxbRum2bVj37sW6dy+GhATCx48nZNAg1LqquUiS78hq05I/kMFNAzDExaGPjb2sxLm69gJZiu2UlqsJ65jonTKunJ0yrgsLJSw8mpIydYP1pLTEhNaL0ek16CIC6/T3c7sUSgvKKcmzUpxXRkle2dmfnt/dToWS/HJK8ss5tjOL5J4xDJzYkcgEc73bdbkzr5qrwI4dCezYEUdODgXLl1O0di3206fJ/OADchYuJPyqqwi98kq0posHrlLjk9WmJX/Qcj6RfEylVl/2t5C69AJZMkpwO92YYsyoI8y4y8oQLhcqrRZNYCCKIrDlWhusJ6UlJ7Q2BI1WTWh0EKHRVXOFhCKwltgpzrVycNMpDm89w4k92ZzYk0273rEMmNiRiDi52ntd6aOjib3zTqImT6bw558pXLECV1ERuV9/Td4PPxA6bBjh48ahj431dVNbtYacaCFJl0oW8fNDtU2f9EVRt4ZcSqA1K8y28OuSIxzZnuFNp2rftw0DJnaUf79LIFwuSrZsIX/pUuwnT3o2qlSY+vQh4uqrCejUSebl+ICsNi01FlmhuBaNFdw0VWl/X5Xjb+q1mVqygsxSti45wrEdmZ4NKujYL46ugxO9xQlbcj5NQxNCUHbgAAXLlmHZtcu73ZiS4snLGTAAlUbjwxa2PlVmS8lq01IDkMFNLRojuGnqFZt91ZPS1GsztXR5Z0rY+uNh0nZne7cFhhgIiQgkvlMEHa+Ik4FjPdkzMihYtozi9esRLs/QrDYigvAxYwgdMQJN0MVLDUgNo9o6N3Fxstq0dMlkcFOLhg5ufLVis+xJaRkKskrZ8sNhstIKKSuxn7tDBaZQI92HtaXHsGQMgXJGUH24SkooXLWKwpUrcZd6ZrGp9HrMw4YRftVVGOLj6/2Ystpu/cm/mdSQZHBTi4ZdONO3KzbLnpTm7cLXj83ioCDTQmFWKTar07ufWqMioXMk7fu2IaVnDMYgvQ9b3bwoDgfFGzdSuGIF9tOnvduDuncnbMwYTL171+nDVlbblSTfk8FNLRoyuGlJKzZLTa+21095qZ280yUUZltwlJ+b+aZWq0joEsnAazoT3bb+08lbKyEEZQcPUvjTT5Ru3w5n3/Z0UVGEjRlD6LBhNQ5Z1VRt11VQgMZkktV2JamJyFXBm0hLKHAn+U5tr5+AYAPxnSIwhRnpdEU8+RmlHNuRSX5GKSf353LyQC49hiUx8NrOGOWQ1UWpVCqCunYlqGtXHLm5FK5cSdEvv+DMzSXn88/J/fprQocOJWzMmEqBiqy2K0nNkwxuLkNrLHAnNZy6vn4i4kNI6RXLFVd39EwnX3qEI79msHdtOsd2ZDL4hq50Hhgvpz3XkT4qiphbbyVq8mSKN2ygYMUKHBkZnhydVas8SzyMHUtQz56y2q4kNVPyU/cyyAJ30uW4lNdPWIyJsXf1pdvgRH75ch+FWRZWfbaLAxtOMvyWHkTG+2ftJn+kNhgIGz2a0FGjPFPJV6zAsnOnd4kHXUwMwf37o9hsNa7VJqvtSpJ/kjk3l0kWuJMux+W8ftwuhd0/p7F1yRFcDjcqtYqeI5IZOLFjtT1Bl6K1zXZx5ORQuGoVRWvWoJSXezaq1Rji4wno2BFtcOXnwl1ejttiIWry5BbTc9PannOp+ZAJxbVo9Do3clq2VE+X+/opLSxn/df7Ob4zC/DUyhk6uSsd+sdd1lBVa54hpNhs54asMjO923XR0QS0a4cuOhqgxVXbbc3PueT/ZHBTi+ZeoVhqmRri9XPyQC5rv9xLcW4ZAHEdwxk6uRtRifWfVSVnCHkIIShau5a8b7/FlZ/v3a4OCkIfFYUhKYmI8eNbxN9CPueSv5PBTS2aw9pSknSpXE43O1ceZ9vyo7idCqig84B4Bl7buc65Xy1pbaCGGmKxZ2RQtGYNlt27cWRng6IAoAkJIWLCBEJHjap2kcjmoiU951LLJYObWsjgRmoNSgvK2PT9IY78mgGARqemz5Xt6DumPXpj7fMIHLm55C5ahMZkqvYDu7nkmTT0EEtFoOQsLMSycycl69fjKi4GQB0QQNjo0YSNHYsuLKyhL6XRtZTnXGrZZJ0bSWrlgsMDGXtXX3qNSmHDogNkHitg27Kj7N9wkgETO9FtcCJqTfXfwBWbDeF0ojYYqr2/OcwQqmmIxZaejjM//5KGWFRqNfqoKPRRUQR16kTU5MmUbNpE/pIlODIyyP/xR/KXLcM8eDAREyZc0hIPvtISnnNJOp8MbiSpBYtJCuWGRweRtjubjd8epDjXyi/z97JnzQkGX9+FpO7RVZKO1UYjKp0OxW6v9lu84nCg0ulQG41NdRn10lSF99Q6HaHDh2MeOhTL7t3k//gj5YcPU7xuHcXr1mHq3ZuIiRMJ6NTJ72sQNffnXJIuJIMbSWrhVCoV7XrHktQjmn3r0vl1yREKsyz8+M6vJHSKYMjkrkQmnEs61kVEYGjTBlt6Oupq8i9cBQUYk5NrrP3ia01deE+lVhPcpw/BffpQfvQo+UuWULp9O5Zdu7Ds2oWxXTsiJkwguH9/v81Xae7PuSRdSObcSFIrYy9zsn3FUXb9fALF5Uk67jIwgYHXdsYU6vlmXmVYR69HcTg8M2eCgwkfO9ZvZ87YTp0i77vvauyZEW43juxsIq+7DmNiYqO0wZGVRf6yZRSvXYtweZZf0cXEEDF+POZhw1Dr/W/x0+b8nEutQ30+v/3ia8TcuXNJTk7GaDSSmprKli1batx31KhRqFSqKrdrrrmmCVssSc2XIVDH4Ou7cvtfR9KxfxwIOLj5NP97YTVbFh/CYXNhiIvz5KW0TaK0oJy89AJKC8oxJCX7/Yfc+UMs1WmKIRZ9bCxt7rqLDrNnE3nddWiCgnBmZ5P13/9y9I9/JPfbb3FZLI12/ktR8Zwbk5JwWyw4srNxWywYk/3/OZekC/m852b+/PlMmzaNt99+m9TUVObMmcOXX37JoUOHiD5bKOt8BQUFOBwO7+/5+fn07t2b999/n7vvvvui55M9N1JDURRBbrGTMrubQIOGKLMOdTOsbZR9otCTdHy8EPAs2pl6TSeiU0JJ351N/sl8XA4nWr2OiLYRpPSJrVJc0J/qPPnjtGbFbqfol18oWLYMZ14eACq9ntDhwwm/+mq/moEkKxRL/qpZTQVPTU1lwIAB/Otf/wJAURQSExP5/e9/z1NPPXXR4+fMmcOzzz5LZmYmQUFBF91fBjdSQziZY2PDvmJO5dpwOAV6nYrEKCNDuptpG938ki6FEBzflcWm7w56iwAaAnWExZqISgxBZ9ThsruqXRaiUoVlpxuNTkNYjImU3r6r0O2vQyzC7aZk61YKlizBlp7u2ahSETJwIOETJhCQnNzkbZKk5qLZBDcOh4PAwEAWLlzIDTfc4N1+1113UVRUxLfffnvRx+jZsyeDBw/m3XffrfZ+u92O/bzu6ZKSEhITE2VwI12ykzk2vl2fR3GZk2izHoNejd2hkFPswByo4/qhkc0ywAHPelV716az+fuDuJyeQnUhEYEkdIkkMMSAEILCLAtRiWb6jWlPYY6l8tpYBm2NQVBTq7bOTVwcwf36+XyIRQhB2YED5P/4I9a9e73bA7t1I2LCBIJ69PD7GVaS1NSaTZ2bvLw83G43MTExlbbHxMRw8ODBix6/ZcsW9u7dywcffFDjPrNmzWLmzJmX3VZJAs9Q1IZ9xRSXOUmKNno/gAKNGpIMRtJzbGzcX0xCpKFZDlFptGpSesWQlVZIcZ6V/NOllOSXsX/9SaISQ4jrFIkp1EhhloWS/DLSdmVTbnUQFmvy/i30ATrCjFoKsyyk7c4mLNrkkyEqQ1wc+thYvxxiUalUBHXrRlC3bthOniR/yRJKNm+mbP9+yvbvx5CYSMSECYQMHIhKKye1SlJ9+f5/+WX44IMP6NmzJwMHDqxxn6effpri4mLv7dSpU03YQqmlyS12cirXRrRZX+004yiznpM5NnKLnT5q4eVz2l0gBG27RdNjRBJhsSYAck+VsHfNCQoyS3E5XRTnWinMtmAKNVb7t6gIgkoLy31xGZ52nC28Z0xMRB8V5ReBzYWMbdsS/7vf0eG11wgfPx6VwYD91Cky3n2Xo088QcGyZbJ4niTVk0+/EkRGRqLRaMjOzq60PTs7m9jY2FqPtVqtfPHFF7zwwgu17mcwGDDUUHVTkuqrzO7G4RQY9NV/SBr1avJLBGV2dxO3rOHoDFo0Og0uuwtDoI72fdtQWlDOyf05lJc6OH0oH71RS1SiGbfTjdZQ/ZpKWr0Gd7HNEyxJF6WLiCDmttuIvO46ClevpmD5clwFBWR//jm5335L2JVXEj5mDNrQUF83VZL8nk+/xuj1evr378/KlSu92xRFYeXKlQwePLjWY7/88kvsdjt33nlnYzdTkrwCDRr0OhV2h1Lt/TaHgk6rItCgaeKWNZzgsADCYkxYimxUpOQFhwfQbWhb2naLQq1R4bC52Pz9YbJOFGEtqr5nxuVwo9Fq0BnksEp9aIKCiLz2Wjq8/jqx06ejj41FKSsj/4cfOPr442R+9BH2zExfN1OS/JrP33VmzJjBXXfdxRVXXMHAgQOZM2cOVquV6dOnAzBt2jTi4+OZNWtWpeM++OADbrjhBiJkxUypCUWZdSRGGTmaUUaSwVhlmnFusYOO8YFEmXU+bOXlUalVpPSOwVJYTmGWZ9hJq9fgcrjR6jV0uiIeRVE4si0Ta5GNw1vOEJMSRpv24Wi0nu9LQggsRTaiEs11Xo1cqkyt1xM2ciShw4dj2bGD/CVLKD96lKI1ayj65RdMffsSMWECgR07+rqpkuR3fB7cTJ06ldzcXJ599lmysrLo06cPS5cu9SYZnzx5EvUF4+SHDh1i3bp1LF++3BdNlloxtVrFkO5mcoucpOfYiDLrMerV2BwKucUOzEE6BnczN8tk4vOFxwbTc1TyuSnexTY0Wg1RiWZSenmmePcb24HVn+8mO62IrOOF5J0uIaFzBMHhAViL7QQE6UnpFeOzejcthUqtJrh/f4L796fsyBHyf/wRy44dWLZvx7J9OwEdOxIxcSKm3r39MqdIknzB53VumpqscyM1hPPr3DhdAp1WRdtoI4O7Nc86NzW5WHE+IQR7fjnB1h+PYC/zJFEHhhjo0D+ObkMSfTYNvKWzZ2RQsHQpxRs2eJd30LdpQ8TEiZgHD5YzrKQWqdnUufEFGdxIDaWlVChuCE67i82LD7P3lxMoboFao6bvmHb0H9cBrb755h/5O2dREYUrVlC4ahVKuSf3SRsRQcSECYSOGOGXa1hJ0qWSwU0tZHAjSY2nONfK2oX7OLk/F4CQiACGT+lBUveqS6m0Zg29xIG7vJyin38mf+lS3MXFAGhCQoi4+mpCR49GEyDznqTmTwY3tZDBjSQ1roqlHNZ9tR9rkac+S7vesQy9qZtMLqaGyslt2hDcv/9lV05WHA6K1q4l/8cfceXnA6AOCiJ87FjCx4xBYzI1xCVIkk/I4KYWMriRpKbhsLnYuuQwu38+gVAEWr2GARM70mtUChpN60x8rbLmlcGAYrd71rwymTwrsV9CgHNhT5DWbKZk82byFy/GkZUFeFZLD7vySsLHj0drNjf0pUlSo5PBTS1kcCNJTSvvTAm/zN9LVppn1fHwNsGMvLUHbdqF+7hlTauxViuvrSdIHxtL6a+/kvf999jPVmdX6XSEjhhBxMSJ6GQpDakZkcFNLWRwI0lNTyiCg5tPs/HbA9isnllVXQYlMPj6rgSYWkfSqyM3l9xFi9CYTNXmwLjLy3FbLERNnow+KqpOj1nXniAhBJZdu8j//nvKjx3zHKzRYB4yhMhrrkF/kYrwkuQPms3CmZIktQ4qtYqugxNJ6RXDxm8PcmDjKQ5uOk3a7mwGX9eFroMTW3w9HMVmQzidqGtYDkat1+NyOuu8jpRQFEq3bcNtsVTqCdIEBKCOi8ORkUHp9u3oY2M9tXL69MHUuzdlBw6Q9/33lB04QPHatRSvW0dIaioR116LMSGhwa5XknxJBjeSJDUZY5Ce0bf3osugBH6Zv5f8jFJ+/mIPBzafYuQtPYlMaLm9qWqjEZVOh2K3V9tzozgcqHQ61Ma61Uly5udjz8xEGx5e7cKl2vBw7BkZOPPzvT1B569GXnb0KPnff49l1y5KNm2iZNMmTH37EjlpEgHt2l3+BUuSD7XOrD5JknyqTbtwpjwxjKGTu6IzaMhOK+LL19ax/uv9OGwtc6FNXUQEhjZtcBUUcGE2gBACV0EBhri4OufB1KUnSNTSExTYoQOJjz1GysyZBA8YACoVlh07OPHCC5x87TXKDh+u3wVKkh+ROTeSJPmUpbCc9YsOcGyHZzHIILOBoTd1p32f2Co9Es1dlRwZvR7F4fDkyAQHEz52bJ1nSzV0Do89I4P8xYsp3rgRFM/CsEG9ehF9000Yk5Lqd6GS1AhkQnEtZHAjSf7p5P4cfvlyHyV5ZQAkdo1ixC09MEcG+rhlDava2U1xcQT361evaeCNNfvKkZtL/uLFFK1dC243AMEDBhB1440Y2rSp+4VKUgOTwU0tZHAjSf7L5XCz/adjbF9xDMWloNWpGTCxE71Gt6zaOA1Vobghe4Iu5MjOJvebbyjZtAmEAJUK87BhRN1wg5xCLvmEDG5qIYMbSfJ/RTkWfv5iDxlHCgCIiAtm1G29iEkO9W3D/FBD9QTVxHbqFLlff41lxw4AVFotoaNHEzlpElr5Hio1IRnc1EIGN5Lk3ypWInfYnJw6kMf2Fcc8K46roOeIZFKv6YQ+QOfrZvqVhl6rqjrlR4+S89VXlB04AIDKYCB83Dgirr4aTVBQg55Lkqojg5tayODGf8hVtaULFWSVkrYrm8JsC26nG41OgynUSEFWKSf25AAQFGpk+M3daddbFp5rakIIyvbvJ2fhQmxpaYBn7aqIiRMJHzOmxplbktQQZHBTCxnc+IeTOTY27CvmVK4Nh1Og16lIjDIypLuZttF1q/MhtSwFWaXs+fkE5VYHplAjWoMWl92FpchGQJCeqLZmtq845k04TukVw/Cbu2OSi3E2OSEEpdu3k/vVVzgyMgDQmM1EXncdYSNHotLKEmpSw5PBTS1kcON7J3NsfLs+j+IyJ9FmPQa9GrtDIafYgTlQx/VDI2WA08oIRbB9xTFyTxcTFmuqMvOnMMtCVKKZXiOS2bb8KDtXHkdRBDqjlkHXdqb78CTZ6+cDQlEo3riRvEWLcOblAaCLiiLqhhsIGTy4wYfGpNZNBje1kMGNbymKYMGaHI5mlJEUbazyIZaeY6NjfCBTRkTLD6tWpCS/jC2LD2MM0lWbT+Mod2KzOhl4TSdCIgLJzyjh58/3kH2iCICY5FBG3tqTyHj5f9oXhMtF4Zo15H33He7iYgAM8fFE3Xgjpn79Wly9Isk36vP5LcNqqUnlFjs5lWsj2qyvtmR8lFnPyRwbucVOH7VQ8gWn3YXb6UZrqH44Q6vX4Ha5cdo91Ysj4kK48bEhjJjSHb1RS/aJIr58dR0bvz2I0+FuyqZLeGZQhV91FR1efZWoKVNQBwVhP3OG02+9xYkXX8S6f/9ln0MoCo7cXGynTuHIzUWcLTQoSdWRA6NSkyqzu3E4BQZ99XG1Ua8mv0RQZm9dH1CtPblaZ9Ci0Wlw2V3V9ty4HG40Wg2684IflVpFjxHJpPSOZe3CfRzfmcWOn45xbEcGI6b2pG3Xuq2s3RJUzDBz2l3oDFqCwwJ8shCp2mAg8pprCBs1ivylSylYvhzb8eOcfPVVgnr0IHrKlEuqdlztdPc2bQju379BprtLLY8clpKaVHahg/+uyMQcqCXQqKlyv9XmpqTMxbSxbYgJ0/ughU1PJlfXPeem35j2NX5op+3J5pcFe7EWedZS6nhFHENv7EZgcMuewVPdDLOwGBMpvWMIjw32adtcxcXk/fADhatWeasdhwwaRNSNN6KPjq7TY1QpVGgwoNjtnkKFJhPh48bJAKeVaPKcm6KiIkJDQy/3YZqEDG58S+bcVCaTq8+pMltKr8HlcHtnS/UclXzRD2uHzcWWxYfYs+YEQoAhUMeQG7rSZVBCi8z7uNgMs7r8zZqCIyeH3EWLKNm40bNBoyFs9Ggir7uu1kKAjbXEhNQ8NWrOzSuvvML8+fO9v99yyy1EREQQHx/Prl276t9aqVVRq1UM6W7GHKgjPceG1ebGrQisNjfpOTbMQToGdzO3isBGUQQb9hVTXOYkKdpIoFGDRq0i0KghKdpIcZmTjfuLUZTW0bkaHhtMz1HJRCWYsVmdFOdasVmdRCWa6/whrTdqGXZTd256fCiRCSHYy5ys/t9uvv3nJopzrU1wFU1HKIK0XdmUWx2ExZrQB3iGMvUBOsJiTZRbHaTtzkb4wetHHx1N/O9+R8rMmQT16AFuN4U//cSxJ54g95tvcJeXV3ucMz8fe2Ym2vDwanP0tOHh2DMycObnN8VlSM1IvXtuUlJSmDdvHkOGDGHFihXccsstzJ8/nwULFnDy5EmWL1/eWG1tELLnxj+cPxTjdAl0WhVto40M7tZ6hmLkEF31Gip/RHEr7Po5ja0/HsHlcKPVqUm9rgu9RiT7JB+lodV3hpk/se7fT86CBdhOnABAExLiqZEzalSlGjm2U6fI++479LGx1fbMCLcbR3Y2kdddhzExsamaL/lIfT6/651QnJWVReLZF9EPP/zALbfcwrhx40hOTiY1NfXSWiy1Om2jjSREGlp1Eq1Mrq6eSq1qkA9jtUZNn9HtiEkKZcM3B8hJL2b9V/s5viOT0Xf0JjS6eS8ZcG6GWfVFDLV6De5im3eGmT8J6taN5GefpfTXX8lZuBBnTg7Zn31GwfLlRN90E8EDBqBSq1Ebjah0OhS7HU1A1etUHA5UOh1qY+v4QiTVXb2HpcLCwjh16hQAS5cuZcyYMYBn/NPtbl1vwtLlUatVxITpSYkNICZM36oCG4BAgwa9ToXdUf2UVptDQadVEWio2qsjXVxBVinbVxxj/4ZTmEKNRCeFotaoyDxeyPyXf2HnquPNesjv/Blm1aluhpk/UanVhAwcSPu//52Y3/wGTUgIzpwczvznP5x44QWs+/eji4jA0KYNroICLhxkEELgKijAEBcnVymXqqj3q/7GG2/k9ttvp2PHjuTn5zNhwgQAduzYQYcOHRq8gZLUUkWZdSRGGT3J1YaqydW5xQ46xgcSZZaLRNZXlUTb8ABMYQEYgnQUnCnFWmxjw6IDHNuZyZV39CYsxuTrJtdbcFgAYTEmzwwzo7bK68dSZCMq0Uywny9PUVEjJ3ToUPKXLaNgyRJsJ054p4+HjhqFMz8fR0aGZ7aUXo/icHhmSwUHE9yvn0wmlqqod3DzxhtvkJyczKlTp3j11VcxmTxvCpmZmTz44IMN3kBJaqkqkqtzi5yk59iIMusx6tXYHAq5xY5WlVzdkC5MtK340NcH6Ihua0arU4Mwc/pQPtlpRSx4eS0Dr+lE7yvbNau/tUqtIqV3DJbCcgqzLNXOMEvpFdNs8ovURiNR119P2OjR5H3/PYWrVmHduxfr3r0E9erl6cEpLcV1ts6NMTmZ4H795DRwqVqyzo3UavhroTyZXN2w6ppo231oW35ddpRTB3IBzxIOo2/vRXgb30+dro9KdW5cnqGosFgTKb18X+fmcjhycsj9+mtKNm3ybNBoMA8ahHnYMHSRkegiIi65x0YoCs78fBSbDbXReFmPJTWdRq9z8+mnn/LOO+9w/PhxNm7cSFJSEnPmzCElJYXrr7/+khveFGRw0zr5e6E8fw28mqP8jBJ+XXIEc4yp2r+h4lYozrVyxdUdCW8TzMFNp1n/9X4cNhdqrZqBEzrS56p2qDXN58POXyoUNwZbejo5X36Jde9ewNPDEz5hAhHjx19SIrGsdtx8NWqdm//85z/MmDGDCRMmUFRU5E0iDg0NZc6cOZfUYElqTBWF8o5mlGEO1JIQZcAcqOVoRhnfrs/jZI7N101s9cnVDak+ibYqlYqugxO59c8jaNstCsWlsOn7Q3w1ewP5GaVN3PJLVzHDLCIuhJCIwBYT2AAYk5Jo+/jjtH3iCYzJySg2G3mLFnH0iScoXLUK4ar7bLCKase29HQ0JhP62Fg0JhO29HQKli/HnpHRiFciNaV6BzdvvfUW7733Hn/5y1/QaM7N4rjiiivYs2dPgzZOki6XLJTX+lQk2lqKbNXOsLEU2QiLNVVKtDWFBXDN/w3gyjt7YwjQknuymC9fXcuvy47gdssFGv1BxfTx+AceQBcVhbukhKz//pfjf/kLJVu3VnmuLyQUhdJt23BbLOjj4tAEBKBSq9EEBKCPi8NtsVC6fbtckLOFqHdwk5aWRt++fatsNxgMWK0tqwKo1PzJVchbn4pE24AgPYVZFhzlThS3gqPcSWGWpcZEW5VKRZfUBG79y0iSekSjuAVbfjjMV6+vJ+9MiY+uRjqfSq0mJDWV9rNmEXPnnWiCg3FkZ3Nm7lxOvPgiZYcO1XisrHbcutQ7uElJSWHnzp1Vti9dupSuXbvWuwFz584lOTkZo9FIamoqW7ZsqXX/oqIiHnroIdq0aYPBYKBTp078+OOP9T6v1DrUpVCe09X6CuW1dJezlEOQ2cjE317BVdN6YwjUkXe6hIWvrWPrEtmL4y9UWi3hY8bQ/tVXibz+elQGA7bjx0mfNYtTb7yB7fTpKscoNhvC6URtqH4hVbVej3A6UWy+H6aWLl+9p4LPmDGDhx56CJvN0+W7ZcsWPv/8c2bNmsX7779fr8eaP38+M2bM4O233yY1NZU5c+Ywfvx4Dh06RHQ1K8Y6HA7Gjh1LdHQ0CxcuJD4+nvT09GazaKfU9M4vlFfdEgeyUF7LFR4bTFi06ZISbVUqFZ0HJJDYOZI18/eStjubrT8eJm13Flfe0YvIBHMTXIF0MZqAAKImTyZs9Ghyv/uOop9/xrJrF5bduzEPHUrU5MneAn+y2nHrckmzpebNm8fzzz/PsWPHAIiLi2PmzJnce++99Xqc1NRUBgwYwL/+9S8AFEUhMTGR3//+9zz11FNV9n/77bd57bXXOHjwIDrdpRU2k7OlWhe5Crl0uYQQHN2eydov92KzOlGrVfS/uiP9xrVH04xmVLUG9qwschcupPTXXwFPD0/Y2LFEXnst6oAAucJ4M9foU8ErlJWVYbFYqu1luRiHw0FgYCALFy7khhtu8G6/6667KCoq4ttvv61yzMSJEwkPDycwMJBvv/2WqKgobr/9dp588slKyc3ns9vt2O127+8lJSUkJibK4KYVqZgtVVzmrLZQ3vVDIhttOric4t1ylJXY+WXBXo7vygIgKtHMVb/p3ezq4rQG5ceOkbNggTcHRx0YSOS11xLYvTtFq1fjtliqrXYcPnasnA7uxxp14cznnnuOe+65h6SkJAIDAwkMvLQF7vLy8nC73cTExFTaHhMTw8GDB6s95vjx46xatYo77riDH3/8kaNHj/Lggw/idDp57rnnqj1m1qxZzJw585LaKLUMbaONXD800lvnJr/EUyivY3xgoxbK8/faOlL9BIYYGH9vP45uy+CXL/eRe6qYBa+uI7UZVjdu6QLat6ftU09h2bWL3IULsZ8+Tc6CBWjDwwm78kq04eE4srJkteMWrN49N3369GHv3r2MHDmSe++9l5tuuglDDQlatcnIyCA+Pp4NGzYwePBg7/YnnniCNWvWsHnz5irHdOrUCZvNRlpamrenZvbs2bz22mtkZmZWex7Zc9M61KWHpCl7Uc7vLYo26zHo1dgdCjnFDsyBOq4f2ni9RVLjsxbb+PnzPaTvywEgNiWMK+9s/iuNt0RCUShev57cRYtwFRQAYEhIIGzcOIzJyWgCAvyqQrGsnlyzRu252blzJzt27OCjjz7i0Ucf5aGHHuLWW2/lnnvuYcCAAXV+nMjISDQaDdnZ2ZW2Z2dnExsbW+0xbdq0QafTVRqC6tq1K1lZWTgcDvR6fZVjDAbDJQVfUvNR1x6SikJ5je3C2joVY/uBRg1JBiPpOTY27i8mIdIgv+03U0FmIxN/dwUHN51m3df7yUorZMHLvzD4+q70GJ7UooroNXcqtZrQ4cMJSU2l8KefyPvhB+ynT5P14YcEdulC9C23oI+K8nUzAVk9uSFdUjjYt29f/vnPf5KRkcEHH3zA6dOnGTp0KL169eLNN9+kuLj4oo+h1+vp378/K1eu9G5TFIWVK1dW6sk539ChQzl69CjKeUWWDh8+TJs2baoNbKSWzx+rD8vaOq2Dt7rx08OJ7xSBy6mwduE+vpu7mdKCMl83T7qAWq8nYuJEOrz6KuETJqDSaik7eJATL7zA6blzcVzwRbupyerJDeuy+rqEEDidThwOB0IIwsLC+Ne//kViYiLz58+/6PEzZszgvffe45NPPuHAgQM88MADWK1Wpk+fDsC0adN4+umnvfs/8MADFBQU8Oijj3L48GEWL17M3//+dx566KHLuQypmfLX6sONVVtHUQTZhQ7SssrJLnTIqspNTCiCkvwy8jNKKMkvQ5z9+weHB3LdQ6kMn9IdrV7DmcP5fDFrLfs3nrxo1Vyp6WlMJmKmTqX9K69gHjoUVCpKt27l2J//TNann+IqafqCjbJ6csOr97AUwLZt2/joo4/4/PPPMRgMTJs2jblz59KhQwfAs0TDI488wtSpU2t9nKlTp5Kbm8uzzz5LVlYWffr0YenSpd4k45MnT6I+b6wxMTGRZcuW8dhjj9GrVy/i4+N59NFHefLJJy/lMqRmrj49JE0xHFWhMWrryORk36q08rbTjUanISzGREpvz8rbKrWKniOSSewSxarPdpGVVsjP/9vD8Z1ZjL69F0Fm+Rz5G11EBHH330/41Vd7FubcvZvClSspXr/eszDn1VfXWPCvodWnerK/DKH5u3onFPfs2ZODBw8ybtw47r//fiZNmlRlGnZeXh7R0dGVho/8haxz03KkZZXzv5XZJEQZ0FST4+BWBGfy7Nx2ZQwpsVWLdjWWhq6tI5OTfasgq5Q9P5+g3OrAFGpEa9DisruwFNkICNJXqXisKIJdq4+z+YfDKC4FQ6CO4VO607F/XJUPLsl/WA8cIGfBAmxpaQBozGaibriB0BEjUNVQaqSh2E6dIu+779DHxlabPCzcbhzZ2URedx3GxMRGbYs/a9RVwW+55RZOnDjB4sWLueGGG6qtLxMZGemXgY3UspzfQ1IdX1UfVqtVDOluxhyoIz3HhtXmxq0IrDY36Tk2zEE6Bncz1ymwuZShNzl81XCEIkjblU251UFYrAl9gGeGnT5AR1isiXKrg7Td2d4hKvA8/32vas8tTwwjKtGMvczJT5/sZNmH2ykvtddyNsmXgrp2JfmZZ84tzFlcTNYnn3gW5ty2rVGHGM+vnlwdWT25/i6riF9zJHtuWg5/rz58/lCS0+WprdM22liv2jrZhQ7+uyITc6C22iEuq81NSZmLaWPbEBOml8NXDawkv4wtiw9jDNKhD6haFd1R7sRmdTLwmk6ERFSt+eV2K+xYcYxflxxBUQQBJj0jb+1JSs+YS1oWQmoawuWicPVq8r77DndpKQABHToQPXUqgR07Nvz5FEVWT66DRp0KLkn+oqKHJLfISXqOrdrqw3XtIWkMbaONJEQaLqu2Tl2Sk/NLPMnJNQ1fHc0oI7fIKYevLoHT7sLtdKM1VD+sqdVrcBfbcNpd1d6v0ai54uqOJHWPZuWnuyjILGXp+9uIiA/x1MQRokr+juR7Kq2W8LFjMQ8bRv6PP1KwbBnlR4+S/re/Yerbl+gpUypNzb7c2jQqtZrg/v1x5ufjyMiotnpycL9+rTqwqS/ZcyM1ew3RQ+Kv6tpzc+eYWNbsKvLbXqzm6nJ7bs7ndrr5ZeE+Dmw4BXgCo6Qe0QSFGGrM35H8g7OwkLxvvqHol19ACFCpCB0xgsgbbkApL2+w2jTV1rmJi5PVk8+SPTdSq9IQPST+KsqsIzHK6AlaDFWDltxiBx3jA0HglzPHmrvgsADCYkzkni4mzKit8ve3FNmISjQTHHbxhHW1Rk1IeCBxHcPJP1OKvczJse2ZRCaGkNA5kpK8MtJ2ZxMWbZJDVH5GFxZGm+nTCR8/npwvv8SyYwdFa9ZQvGED+jZt0EVEoIuKQm0woNjt2NLTcebnEz5uXL2CEkNcHPrYWFmhuAHI4KYZk4syntNU1YebWl2H3mxOpc7DV1LdqdQqUnrHYCkspzDL4pktpdfgcri9vS0pvWLqFIyUFpZTmG0hMj6EmJQwzhzKJye9iLxTJZTklZHYOZLCLAulheUX7QWSfMMQF0fio49SdvgwOfPnU37sGPaTJ3FkZRHYqRPGlBQ0AQGo4+JwZGRQun17jTOgaqJSq+V07wZQ7+Bm9+7d1W5XqVQYjUbatm0rlztoApeaOCqEwOES2BxK9Ten2/tvu0Oh/IL77U7PTVFAnH08RXh6aoUQlbYLwdn7PPsgQLlguxCeD3CNGjRqFRq1CvV5/670u0aFWlX5Po3G87ta5XkMrUaFVqtCq1Gj03iO0WlUnu1nbzqNCp1WhU6r9vyurdimPrtdhU7j+ff59/tqGm9dFv7MLnQ0eG0dySM8Npieo5LP1bkptqHRaohKNJPSq+55Mufn76jVKtp2iyI0JogTu7NxlLs4tjMLc3QgNqtDBjd+LrBTJ9r87ndkfvAB9lOnUMrKsO7dS/nx4wR164Y+Lk7WpvGxegc3ffr0qfVNXqfTMXXqVN555x2Mctpag3G6FErL3ZSWuTlypozVOwopLnNh1KkRgN2psO+ElRXbCogO1aNScUHQci5gkTODL4030KkIfjQq9DoV4cE6okJ1RJr1RJp1RFXcQvUEVRNoXIqLDb3Vdfgqylw1b0S6uPDYYMKiTZc1w0ln0KLRaXDZXd78nZCIQLoPa8upg3nknS6hOKeMFR/vYOzd/Yhua26sy5EagLDb0YaEEDB6NPZTpyg7dAilrIzSX39FGxpKYNeuCJcLxdb0S8BIlxDcLFq0iCeffJI//elPDBw4EIAtW7bwj3/8g+eeew6Xy8VTTz3FX//6V15//fUGb3BLYnO4KSh1UVDqpLCan8VWFyVlnoTRcnvd6wZl5DvqtJ9Oq8KoUxNgUGPQqzHq1Bj1nluA/uy2iptO493PoFWhVqtQqUCt8vz03Dw9KxXbgbO/e3pfPL9XHAeoQIUKIQRuxVN0z614en8q/n3+74pS+35ut+d+l1vgdCu43MLzb5fw/rvid6dbOfvzvG2uc9ucLgX3BX/yiuPL7QDnhndO5tRcuyTAoCbKrKNjfCDTr25DRMilBxe1Db35+8yxlkClVl1Wj0pN+TsanSexWKNTU5BRSnFuGV//Yz39r+5Iv3Ht0WhkvoU/qqhNI5xOAlJSMCYmUn70KGVHj+IqKqJk40a0YWG4iouhFRfe85V6z5YaOHAgL774IuPHj6+0fdmyZTzzzDNs2bKFb775hj/+8Y8cO3asQRvbEBp7tpSiCErKXN4gpaDUReH5Py0uCks8P+sTsIAnaAg0aFCEOBeA6M4NrWjVKtzC8wE8olcYMWH6SgFLpaBFp0ajkR90tVGUs4GP+7zApyL4ORsc2RwKBSVOcos9t7wih/fflvLK+S3BARp+PzmB4T1DG63NLXnmWEtQpdrxBfk7nQbGs3t1Gsd2ZgEQ1dbMVb/pLWdQ+aGaatMoNhvWgwexp6d7dlSpCB05ksgbbkAXGuq7BrcA9fn8rndwExAQwI4dO+jSpUul7QcPHqRv376Ul5dz4sQJunXrRlmZ/62M21jBzb4TVmZ9foJCi4v6FGc26NSEB2sJC9YSHqzz/gwP1hFq0hIcqCE4QEtIoIagAA0nc2x+ueSAVFW53U1esZPMAgefrsjiaEY5AFf2CePB6+MbbMjqQjLR3L9VWqfK5Uaj1RAWa/Lm7wghOLItg7UL9mIvd6HRqRl0bWd6jUqRs6j8TMVK3m6LpUptGtRq3BYLZfv3A6DS64mYMIHwq69GEyDfmy9Fo04F79KlCy+//DLvvvsuer2ni9zpdPLyyy97A54zZ854F79sLQx6Ffkl5wp5mYO01QYt3p8mHeEhWgL06nolqjbGooxS4wgwaEiM1pAYbaRvBxOfr8pm/s85rNpZyN4TFv44pS292pka/LwtdeZYS3Gx/B2VSkWnK+KJ6xDB6v/t5tSBXNYvOkDanmyuvLO3TDb2I4a4OMLHjfPWpnGdrU1jTE721qY5f2ZV3rffUrh69bk1q7RywnJjqXfPzYYNG7juuutQq9X06tULgD179uB2u/nhhx8YNGgQn376KVlZWfzpT39qlEZfjsbqubE7FdKzbd4eF20jDfn4+5IDUu0OpFt5bcFJMgscqFQweVgUd42LRa+VeRVSVUII9q8/yfpFB3A53OgMGobe1I2ugxLlIpx+5GIVioUQlP76KzkLF+LMzgZAHxtL1JQpnsrD8rmsk0YdlgIoLS1l3rx5HD58GIDOnTtz++23Exzs/+PCLaFC8fll9qtLHL1+iCyz78/K7W7eXZzB0q0FACTHGnnilraktJFd1VL1inOtrPpsF5nHCwFI6h7NqNt6EmRu+P/nQhFy3atGIlwuCn/+mbxvv22SNatamkYPbpqz5hDc1CVnQiaONn+bDhTz5tenKbK40GpU3DUulsnDoqrNpZIkRRHsWn2czT8cRnEpGAJ1jJzagw79Gq4sf6V8IKdbrnvVSNzl5d41q4TDM7s1uH9/oqZMwRAb6+PW+a9GD26OHDnC6tWrycnJQbkge/bZZ5+t78M1KX8PbupTnE8mjjZ/RRYnb359mk0HSgBoG21g0uBIruwbJvOmpGrlZ5Sy8tOd5J32vGY69ItjxC3dMQZdXp5VlZlcBi0uu0uue9WInIWF5C1aRNHatZytaErYqFFEXn89WrOsc3ShRg1u3nvvPR544AEiIyOJjY2tNFaoUqnYvn37pbW6ifhzcFPTqs45xQ7MgTq5qnMLJYRg+bYC3vkhw1seIMCgZmy/cK4dFEGifM6lC7hdCtuWHWHb8mMIRRAYYmD07b1I6h59SY8nFMH2Fcc8NXhiTVVy+QqzLEQlmuk3pr0comoE9jNnyFmwAMuuXYCnhk7ExImEjx+PWlb892rU4CYpKYkHH3yQJ5988rIa6Sv+GtzIRGHJanPz0/YCftiUz+ncc4UB+3Ywce2gSFK7hMjaRFIl2SeKWPnZToqyrQB0G9qWoZO7ojPUbxZOQ65+Ll0664ED5CxYgC0tDQBtaChRN92EeehQuXgmjRzchISEsHPnTtq1a3dZjfQVfw1usgsd/HdFJuZAbbVTvK02T6XiaWPb+GyarxwGaxpCCHYes/D9xjw2HyjxLpcRHarjmtQIxl0RQahJTiGVPFwON5u+P8Tunz0fiOaoIMbc1YeYpNA6P0Z+Rgm/LjmCOcZU7f9pxa1QnGvliqs7EhHnP++bLZFQFEq2bCF34UKceXkAGBITiZ46FVOPHj5unW81anBz7733MmDAAP7v//7vshrpK/4a3KRllft1cb5LXahTujzZhQ5+3JzP0q35lJR5Kh7rtSrunxjHNYMi5BRSyev0oTxWfrYLa5ENtVrFFRM60m9se9R1WL5B9tz4H8XppPCnn8j7/nuUswVxg3r0IHrqVIytdDmHRg1uZs2axezZs7nmmmvo2bMnOl3l/wiPPPJI/VvchPw1uPHnnhuZC+R7DqfCmt1FfL8xjyNnPJWOR/Q088iNiY1W6VhqfmxWB2vm7+XYjkwAYlPCuGpaH8yRtQckMufGf7ksFvK//56Cn34CtxtUKszDhhF1443owsJ83bwm1ajBTUpKSs0PplJx/Pjx+jxck/PX4MZfc278tV2tlRCCRevy+HBpBm4F2oTr+fMdSXSIk9+mJQ8hBId/PcPaBftw2FzoDBqG39ydzqkJtfb0XWzdKzlbyrccOTnkLFxI6ZYtwNnlHK6+mvAJE1rNcg6yzk0t/DW4Af8szufPPUqt2YGTVl7+PJ2cIidajYrfXRvHNalymEo6pyS/jJWf7iLzmKdYZLs+sYy6tWetU8Yvtu6V5HtlR4+S88UXlB89CoAmJISoyZM9yzloWnYvrgxuauHPwQ34X3E+f88Fas1Ky1z8Y+EpNp+tkSOHqaQLKYpg50/H2LL4MMrZKeNX3tmbtl2jajxGVij2f0IISrdtI+fLL88t5xAXR/Qtt2Dq3bvFfslp8OBmxowZvPjiiwQFBTFjxoxa9509e3b9WtvE/D24Af+alSR7bvzbhcNUcRF6nr5dDlNJleWcLOanT3ZQlOOZMt5rVDKDJnVBq5eBcHMmXC4KV6/2LOdgsQAQ2LUr0VOnEpCc7NvGNYIGD25Gjx7NokWLCA0NZfTo0TU/mErFqlWr6t/iJtQcght/InNumocD6VZmfZ5ObrETndYzTDVxoBymks5xOtxs/OYAe9emAxDexsSYaX2JTJDvg82d22olf/FiCpYvR7hcAIQMHkz0zTeji4jwcesajhyWqoUMburPH3OBpKpKy1y8/uUpthz0DFMN62HmoesTZE0cqZL0fTmsmreb8lI7aq2a1Gs70Wd0Ozn01AI48/LI+eorSjZuBECl1RI+bhwR11yDJijIx627fI0a3Hz00UfceuutBDTT7GwZ3Fwaf8sFkqonhODrdbl8tDQTtwLmIC0PXR/P8J6hvm6a5EfKS+38/Pke0vZ48jXiO0Zw5W96ExzWPN/XpcrK09LImT+fsoMHAdCYTETecANho0c366TjRg1uYmJiKC8vZ8qUKdx7770MGTLkshrb1GRwc+n8KRdIqt3h02W8sfAUJ7JtQEUvTjyhpqoF2qTWSQjBgY2nWPfVflwON4YALSOm9qRj/4ZbZVzyHSEElp07yVmwAEemp+6RPi6OmFtvxdSrl49bd2kaNbhxuVx8//33fPzxxyxZsoR27doxffp07rrrLmKbwVLtMriRWguHS+GL1Tks+DkbtwIhgRoeuC6ekb1CZS6O5FWUY+Wn/+4kJ70IgI5XxDFiSg8MgTIQbgmEy0Xhzz+T98033qTjoB49iL71VowJCT5uXf00Wc5NdnY2n332GZ988gkHDx7k6quv5t5772XSpEmo/XSRLxncSK3N0QxPL87xTE8vzuBuITx8QwLhwfLDS/JwuxW2LTvKtqVHEAJMYQGMmdabuA4tJxm1tXNbreR9912lSseho0YRNXky2mbyWdikCcWbN2/mww8/5JNPPqFNmzYUFhYSFhbGRx99xKhRoy7noRuFDG6k1sjpUljwcw6fr/b04pgCNDwwKZ7RfWQvjnROVlohP/13JyV5ZahU0H98R664ukOd1qeS/I9QFJz5+Sg2G2qjEV1EBM7cXHIWLKB02zYA1AEBRE6aRNjYsah1/v2Fpz6f35f0is3Ozub111+ne/fujBo1ipKSEn744QfS0tI4c+YMt9xyC3fddVedH2/u3LkkJydjNBpJTU1ly9ny0tX5+OOPUalUlW5Go+8TWhVFkF3oIC2rnOxCB4rSqiahSX5Op1Vzx5hY/vlwJ9rHBWApd/PagpPM/PQE+SVOXzdP8hOxKWHc8uRwuqQmIAT8uvQI3761mdLCcl83Taone0YG+YsXk7toEXnffUfuokXkL16McLtJ+P3vafvkkxiSklDKy8lZsIDjf/4zJVu30lImUNe752bSpEksW7aMTp06cd999zFt2jTCw8Mr7ZOTk0NsbCyKolz08ebPn8+0adN4++23SU1NZc6cOXz55ZccOnSI6OjoKvt//PHHPProoxw6dOjcRahUxMTE1Kn9jdFzI1fMlpoTl1vw5S85/G9lNi63wGTU8Ntr4xjTL0z24kheh389w5r5e3HaXBgCdYy+vRftevt/XqXkCWwKli/HbbGgDQ9HbTCg2O24CgrQmEyEjxuHIS4OoSgUr19P7ldf4SoqAiCgUydibr2VgHbtfHsR1WjUYal7772X++67j8GDB9e4jxCCkydPkpSUdNHHS01NZcCAAfzrX/8CQFEUEhMT+f3vf89TTz1VZf+PP/6YP/zhDxSdfSLqq6GDG7littRcncgqZ/bCU95Vxgd0Dub3kxOIMstK05JHca6V5R/vIPdkMQA9hicxZHJXtLrmO524pROKQv7ixdjS09HHxVUpvOrIyMCYnEzExImozubGKjYb+UuWkL9kCcLhAMA8ZAhRN9+M7oLOC19q1GGpDz74oNbABjw9KXUJbBwOB9u2bWPMmDHnGqRWM2bMGDaeLUJUHYvFQlJSEomJiVx//fXs27ev7hfQgBRFsGFfMcVlTpKijQQaNWjUKgKNGpKijRSXOdm4v1gOUUl+KTk2gDce6Mj08bFoNSq2Hirl/944xLKt+S2ma1q6POaoIG58bAh9rvJ8i9+7Np2Fr6+nIKvUxy2TauLMz8eemYk2PLxKT6xKpUIbHo49IwNnfr53u9poJGryZNrPmkXI2c/34g0bOPbUU+QuWoRitzfpNTSESypdarVaWbNmDSdPnsRxNsqr8Mgjj9T5cfLy8nC73VWGlGJiYjh4tvjQhTp37syHH35Ir169KC4u5vXXX2fIkCHs27ePhGqmtdntduznPTElJSV1bt/F5BY7OZVrI9qsr/ZFFGXWczLHRm6xU667JPkljUbFLaNiSO1q5o2vTnHoVBlzvj7NL3uKePTGRKJD5eu2tdNo1Qy5oSsJnSJY+ekuCjJKWfjqOobd3J2ugxPlUKafUWw2hNOJ2mCo9n61Xo/L6USx2arcp4uIIP53vyN87FiyP/+c8iNHyPv2W4rWrCHqppswDx3q7e3xd/UeltqxYwcTJ06krKwMq9VKeHg4eXl5BAYGEh0dzfHjx+v8WBkZGcTHx7Nhw4ZKvUFPPPEEa9asYfPmzRd9DKfTSdeuXbntttt48cUXq9z//PPPM3PmzCrbG2JYSq6YLbUkbkWwaF0u/12RhdMlCDCouW9iHBMGVP0GKLVO1mIbKz/dxelDeQB06NeGkbf2xBDg37NsWhNHbi65ixahMZnQVLOSgLu8HLfFQtTkyeijalkdXghKt24lZ8ECnHme59uYlET0bbcR1KVLo7W/No06LPXYY48xadIkCgsLCQgIYNOmTaSnp9O/f39ef/31ej1WZGQkGo2G7LNLtlfIzs6uc0FAnU5H3759OXr0aLX3P/300xQXF3tvp06dqlcbaxNo0KDXqbA7qk+ctjkUdFoVgQY5Pi35P41axc0jovn3I53olhRIuV3hrUWn+cuHx8kudFz8AaQWL8hsZNKDAxl0XRfUahVHt2fy5StryT5RWO3+QhGU5JeRn1FCSX4ZQg7RNzpdRASGNm1wFRRUGV4WQuAqKMAQF3fRBTVVKhUhAwfS7u9/J/qWW1AbjdjS0zn58sucfustHBd8bvubegc3O3fu5I9//CNqtRqNRoPdbicxMZFXX32VP//5z/V6LL1eT//+/Vm5cqV3m6IorFy58qJ5PRXcbjd79uyhTZs21d5vMBgICQmpdGsoUWYdiVFGcood1b6IcosdtI02EmWW32qk5iMhysirv+3Ab6+Jw6BTseOohQfmHGLVjuo/wKTWRaVW0W9se274w2CCwwMoyS9n0Rsb2b7iWKXgpSCrlO0rjrFl8WF+XXKELYsPs33FMZmv08hUajXB/fujMZlwZGTgLi9HuN24y8txZGSgCQ4muF+/Og8vqfV6IiZOpP2rrxI6ejSoVJRu28axP/+Z7C++wG21NvIVXZp6Bzc6nc5bfTg6OpqTJ08CYDabL6lXZMaMGbz33nt88sknHDhwgAceeACr1cr06dMBmDZtGk8//bR3/xdeeIHly5dz/Phxtm/fzp133kl6ejr33Xdfvc99udRqFUO6mzEH6kjPsWG1uXErAqvNTXqODXOQjsHdzHL9JanZ0ahVTB4WxdxHOtM9OYhyh8JrC04ye+FJbA63r5sn+YGKmjjt+7ZBUQSbvjvI9//ZQlmJjYKsUvb8fILc08UYg3SYY0wYg3Tkni5mz88nZIDTyAxxcYSPG4cxKQm3xYIjOxu3xYIxOZnwsWMxxNV//TBtSAht7rqLlBdfJKhHD3C7KVi6lGNPPknBTz8h3P71vlDvhOK+ffuydetWOnbsyMiRI3n22WfJy8vj008/pUePHvVuwNSpU8nNzeXZZ58lKyuLPn36sHTpUm+S8cmTJyst5VBYWMj9999PVlYWYWFh9O/fnw0bNtCtW7d6n7shtI02cv3QSG+dm/wSz4rZHeMD5YrZUrMXH2nglfvb8/mqbP63KpsV2wo5eLKMp29LIqWNzCNr7QyBOsZN78uBLpGsW7iP0wfzmD9rLW27ReN0uAiLNXnztfQBOsKMWgqzLKTtziYs2oRKfvFrNIa4OPSxsVUqFF9uQrAxIYHEP/4R6549ZH/xBY6MDLI/+4zCVauImTqVoF69/CJHr94Jxb/++iulpaWMHj2anJwcpk2bxoYNG+jYsSMffvghvXv3bqy2NojGWn5BrpgttXS7j1t4dX46+SUudFoVv7s2jokDI/zijUzyvYLMUpZ/vIOCDE+vTGRiCG27RVd5H3SUO7FZnQy8phMhEYG+aKrUQJp6Uc4mXVuquZFrS0nSpSuyuJi98CRbD3k+wIb2MPOHGxMJNKhlcC/hcrhZNW8XR7dnAhBoNtCudyzGoHMlBRS3QnGulSuu7khEnHwPbgncVit5339PwYoV5xblHDmSmDvuaND1qho1uCkvL0cIQWCgJ+JOT09n0aJFdOvWjXHjxl16q5uIDG4k6fIoiuCb9Xl8tCwTl1sQEaIltUsINqcilx+RKMkvY+Vnu8g5UYTbpaDWqEnqEeUNZGTPTcvlyMkhZ/58SrdtI7BrV9o+8USD9uw2anAzbtw4brzxRv7v//6PoqIiOnfujF6vJy8vj9mzZ/PAAw9cVuMbmwxuJKlhHDpVxkvzTpBX7Fl4s3tSID1SgnA4hVx+pBUTimD7imNkHi+gILMUS6GnWFxEfAiJXSMpySsjKtFMvzHtZc5NC1V26BDqoKAGH5pq1Do327dvZ/jw4QAsXLiQ2NhY0tPT+e9//8s///nPS2uxJEnNTsf4AMb2CyPS7JmXsC+9jDW7i1GpkMuPtGIqtYqU3jEEhwUQ1dZMdJIZgPwzJexbm44KSOkVIwObFiywc+dGybmpj3oHN2VlZQQHBwOwfPlybrzxRtRqNYMGDSI9Pb3BGyhJkn/KLXaSXeRgWHczqV2C0aghq8DBj5sLyCpwVFp+RGpdwmOD6TkqmejEUEKjTcR1CEOjU+O0u0nbk82Zw3L9Mqlx1XsqeIcOHfjmm2+YPHkyy5Yt47HHHgMgJydHDvNIUitSZnfjcAqMoRo6xAcSadazbm8xxVYXq3YW0SUxkIgQLWV2/6p/ITWN8NhgwqJNlBaW47S7cLsUtv54hPR9Oaz9ch+nD+Ux+vZelZKNJamh1Lvn5tlnn+Xxxx8nOTmZ1NRUbyXh5cuX07dv3wZvoCRJ/unC5UdCTVquHhBOx3hP/ZuDp8rYnWbFUi6Dm9ZKpVYREhFIRFwI0W1Dmfi7Kxh6UzfUGhVpu7NZ8MpaMo8V+LqZUgt0SVPBs7KyyMzMpHfv3t4Ce1u2bCEkJIQuPlpQq65kQrEkNQxFESxYk8PRjDKSoo2VZkWczC5nw/4S3AoEGNQ8ckMCo/qE+bC1kj/JOVnMio+3U5xbhkoFAyZ2ot+4DrJ8gFQrWeemFjK4kaSGczLHxrfr8ygucxJl1mPUq7E5FHKLHei1ak7m2DmWUQ7A2P5hPHhdPEa9XEhWAofNxS8L9nJ46xkA4jqGM/auvgSZ5ew6qXoyuKmFDG4kqWGdzLF5lx9xujzLj7SNNjK4m5n4CAPzVmXzxepshICEKANP3ZpE+zi5dIPkcXDzaX5ZsBeXw43RpOfKO3qR3CPG182S/JAMbmohgxtJangXW37k/KUbtBoV901sw3WDI+XSDRIARTkWln+0g7zTJQD0Hp3CoEmd0ehkL590jgxuaiGDG0nyjWKri9kLT7HloOcDbFDXEB67KZGQoHpP2pRaILfTzcbvDrL75xMARCWaGTe9L+aoIN82TPIbMriphQxuJMl3hBB8tyGP95dULN2g44mpbenVzuTrpkl+Im1PNqs+24W9zInOoGHk1J50GhDv62ZJfqDRg5sjR46wevVqcnJyUBSl0n3PPvtsfR+uScngRpJ872hGGS9/fpIzeXbUKrh1dAy3XxmDRiOHqSSwFJbz0393knHUM02888AERtzSHZ1B9vK1Zo0a3Lz33ns88MADREZGEhsbW2nMXKVSsX379ktrdRORwY0k1d3FcmkuR7ndzX++P8OKbYUA9EgO4ompbYkKlUXdJM9rb9vSI/y69AhCQGh0EOOm9yUywXzZjy0U4S0uqDNoCQ4LkMtBNAONGtwkJSXx4IMP8uSTT15WI31FBjeSVDfnz4JqzNW+V+8s5K1vTlNuVzAFaHjspkSGdL/8DzCpZcg4ms+KT3ZiLbKh1qoZckMXeo5IvuRk9IKsUtJ2ZVOYbcHtdKPRaQiLMZHSO4bw2OAGbr3UkBo1uAkJCWHnzp20a9fushrpKzK4kaSLO79+TbRZj0Gvxu5QGm2174x8Oy9/ns6RM56aONcOiuD+iXHodfUuoi61QDarg1XzdnNiTzYAKT1jGH1H/ZduKMgqZc/PJyi3OjCFGtEatLjsLixFNgKC9PQclSwDHD/WqKuCT5kyheXLl19y4yRJ8m+KItiwr5jiMidJ0UYCjRo0ahWBRk2jrfYdF2HgH//XgZuGRwHww6Z8HvvPETLy7A12Dqn5MgbpmXB/f4bd3A21Vk3anvov3SAUQdqubMqtDsJiTegDPEOs+gAdYbEmyq0O0nZnI+Qq9i3CJS2c+cwzz7Bp0yZ69uyJTqerdP8jjzzSYI2TJKnp5RY7OZVrI9qsr9L1r1KpKq32HRPWcPkxOq2a+ybG0ae9ide/PMXxTBu//9dhZkxpy1A5TNXqqVQqeo1MoU27cJZ/tIPiXCvfvLmxzks3lBaWU5htwRRqrPZ1bQo1UphlobSwnJCIwMa8FKkJ1HtYKiUlpeYHU6k4fvz4ZTeqMclhKUmqXVpWOf9bmU1ClAFNNR8YbkVwJs/ObVfGkBLbOJWG84qdzPr8BPvTywC4cXgU08e3QStnU7Va5ycBA+z46bh36Yb4jhGMuatPrUs35GeU8OuSI5hjTNUGQopboTjXyhVXdyQiTn42+KP6fH7Xu+cmLS3tkhsmSZL/O3+170Bj1QqxNoeCTqsi0NB41WMjzTpeub8DHy3N5Ot1uXy9NpdDp8p4+rYkIkJ0F38AqUWpKQk4dVJnti07ypkj+cx/eS1X3dmbpO7R1T6GzqBFo9PgsrvQB1R9DbkcbjRajZxu3kJcVraeEIJWVgNQklq8KLOOxCgjOcWOKv+/hRDkFjtoG20kyty4QYZWo+L+a+L46x1JBBrU7Dth5eG3DrPrmKVRzyv5l4ok4NzTxRiDdJhjTBiDdOSeLsZSUM64e/oSER+CzeJg8dtbWb9oP26XUuVxgsMCCIsxYSmyVfu6thTZCIs1ERwm1z1rCS4puPnvf/9Lz549CQgIICAggF69evHpp582dNskSfIBtVrFkO5mzIE60nNsWG1u3IrAanOTnmPDHKRjcDdzg9W7uZihPUL558OdSIk1UmRx8ecPjvHF6uwGTWiW/FNdkoDzz5Ry42OD6TkiCYBdq9JY9MYGivPKKj2WSq0ipXcMAUF6CrMsOMqdKG4FR7mTwiwLAUF6UnrFyHo3LUS9c25mz57NM888w8MPP8zQoUMBWLduHXPnzuWll17isccea5SGNhSZcyNJdVPbat8NOQ28rmwOhX9/d9pb9G9glxAevyWR4AA5jNBSleSXsWXxYYxBumqHkhzlTmxWJwOv6URIRCDHd2Wx+n+7sZc50Ru1jLy1Jx37x1U6ptIQl8szFBUWayKll6xz4+8atc5NSkoKM2fOZNq0aZW2f/LJJzz//PN+n5MjgxtJqrvGrFB8KYQQLP+1gLnfncHpEsSE6fnz7Ul0SpCzW1qiS0kCLi0oZ8UnO8g67gmCuw5OZNjN3dHpz+WIyQrFzVOj1rnJzMxkyJAhVbYPGTKEzMzM+j6cJEl+TK1WEROmJyU2gJgwvU8DG/DMyBw/IILZD3QgNlxPdqGDP759lB8358v8vxbo/CTg6lSXBBwcHsANjwyi//gOoIIDG0+x8LV15GeUevdRqVWERAQSERdCSESgDGxaoHoHNx06dGDBggVVts+fP5+OHTs2SKMkSZJq0yEukLce7sSgriG43IK3vjnNP748hc3h9nXTpAZ0qUnAao2a1Gs7c91DqQSGGCjMsrDw9XXsW5cug+BWot7DUl999RVTp05lzJgx3pyb9evXs3LlShYsWMDkyZMbpaENRQ5LSVLLIYRg4S+5fLw8E0WB5Bgjf7kjiYSops8Jqg9/G+7zZ1WWTNBrcDncdV4yoazUzspPd3HqQC4A7fu2YdStPTEEypICjUEoCs78fBSbDbXRiC4iApW6YZZRadScG4Bt27bxxhtvcODAAQC6du3KH//4R/r27XtpLW5CMriRpJZn93ELL3+RTmGpiwC9msduTmR4z1BfN6taTbUgaUtyuUnAQhHsXHWczd8fQlEEweEBjJvel5jksCZofethz8igdNs27JmZCKcTlU6HoU0bgvv3xxAXd/EHuIhGD26aMxncSFLLVFDiZNYX6exNswJw/ZBI7p3QBp3WfxbfbOoFSVuShkgCzj5RyPKPdlBaUI5arSJ1Umf6XNlO5tw0AHtGBgXLl+O2WNCGh6M2GFDsdlwFBWhMJsLHjbvsAKfBg5uSkhLvA5WUlNS6r78HDDK4kaSWy+0WfLIiky/XeIYgurYN5Onbk4gyN9waWJdKUQQL1uRwNKOMpOjK6xsJIUjPsdExPpApI6LlEFUjspc7+fnzPRzb4ZkAk9g1iqt+05vAYIOPW9Z8CUUhf/FibOnp6OPiqry2HRkZGJOTiZg48bKGqBp8tlRYWBg5OTkAhIaGEhYWVuVWsV2SJMlXNBoV91wdx3O/SSbIqObAyTIefusw24+UXvzgRlafBUmlxmMI0DFuel9G3toTjU7NqQO5LHh5LacP5fm6ac2WMz8fe2Ym2vDwal/b2vBw7BkZOPPzm6xNdap+tWrVKsLDwwFYvXp1ozZIkiTpcg3qZuafD3fib/NOcDzTxl8/Os6Nw6KYNi4WvY+GqcrsbhxOgUFf/fmNejX5JYIyu5zx1dhUKhXdh7YlNiWU5R/toDDLwndzN3PF+A5ccXVH1Br/GcpsDhSbDeF0ojZU3/ul1utxOZ0oNluTtalOz+DIkSPRaj1xUEpKCiNGjGDkyJGVbiNGjKh1xfDazJ07l+TkZIxGI6mpqWzZsqVOx33xxReoVCpuuOGGSzqvJEktV1yEgdkPdGTCwHCEgK/W5vKHuUc4kVXuk/acvyBpdZpiQVKpsoi4EG5+fChdBiWAgF+XHuXbtzZjKfTNa6S5UhuNqHQ6FLu92vsVhwOVTofa2HT5ZPUOT1NSUsjNza2yvaCg4JKCm/nz5zNjxgyee+45tm/fTu/evRk/frx3GKwmJ06c4PHHH2f48OH1PqckSa2DQafmkcmJPPebZEKCNKRl2Xhk7hEWrctt8rWp/GVBUqkynUHLlXf0ZsxdfdAZNGQeK2DBK2s5sTfb101rNnQRERjatMFVUFDta9tVUIAhLg5dRESTtanewY0QosqYGoDFYsF4CVHZ7Nmzuf/++5k+fTrdunXj7bffJjAwkA8//LDGY9xuN3fccQczZ86kXbt29T6nJEmty6BuZv7zaGcGdA7G6RK8uziDv350nLwmzG/xtwVJpco6XRHPlCeGE5kQgs3q5Md3fmX919WvMC5VplKrCe7fH43JhCMjA3d5OcLtxl1ejiMjA01wMMH9+jVYvZs6tamuU8FnzJgBwJtvvsn9999PYOC5tVzcbjebN29Go9Gwfv36Op/c4XAQGBjIwoULKw0t3XXXXRQVFfHtt99We9xzzz3H7t27WbRoEXfffTdFRUV88803dTqnnC0lSa2XEILFm/N5/8cM7E6BKUDDI5MTmrQmjr8tSCpV5na62fDtQfasOQFAdFszY6f3wxxZ8/plcq0qj2rr3MTFEdyvX5PXuanzcro7duwAPG8Oe/bsQa8/N7VSr9fTu3dvHn/88Xo1NC8vD7fbTUxMTKXtMTExHDx4sNpj1q1bxwcffMDOnTvrdA673Y79vHHAi01llySp5VKpVFw7KJI+7U28Ov8kR86U8/f/pTOmXwn/NymeIGPj57u0jTaSEGmQFYr9lEanYfjN3YnvGMHq/+0m52QxX76yllG39aRDv6of0JUKDDrdaHQawmJMpPRufauMG+Li0MfGNlqF4vqoc3BTMUtq+vTpvPnmmz7p9SgtLeU3v/kN7733HpGRkXU65v/bu+/wqKr88ePvO5MpmZRJQjqEhBZ6RxAQEI0UEXFBRZYVRXAtsIpYkK+K+tt1bYC6iuiyCujKAoqAFUSqFGkSOgFCQoD0Xiczmbm/P7LMMiZAAkkm5fN6nnkec++Ze889GZlPzvmcc15//XVeffXVWq6ZEKIhaRFkZN6jbVm2KY2VW9L5+bccDicU8cy9EXSJ8q71+1/ckFTUX627hxIUYWbDkgOkJpQv/nf+ZBY3je2Ex393GK+wNYTBk7LSMjLO51GYU3LVrSEaI0WjQR8U5O5qVH+F4ry8POx2u3Nq+EXZ2dl4eHhUK+ip7rBUbGwsPXv2RKv9319XDkf5eKhGoyEuLo42bdq4vKeynpuIiAgZlhJCAHAksZC5K8+RlmNFo8A9Q4KZeGtIvVrZWLiP3e5g7/cn+e3neFAhINyHYZN74h/szW8b4sk4n4d/qHeFhetyUgsJijDTK6ZNkxyiqg01vojfpe677z6WL19e4fjKlSu57777qnUtvV5P79692bhxo/OYw+Fg48aN9O/fv0L5Dh06cPjwYWJjY52vO++8k6FDhxIbG0tERESF9xgMBnx9fV1eQghxUZcobxY8EU1ML38cKqzYks7TH53mXHrdrckh6i+tVsONd3Zg9ON98fTRk51cwFdv7yB20xmyUwvw9jNWunCdt5+RnNRCCmRauVtUO7jZvXs3Q4cOrXD85ptvZvfu3dWuwMyZM1m0aBFLly7l+PHjPPbYYxQVFTF58mQAJk2axOzZswEwGo106dLF5eXn54ePjw9dunRxyQMSQoiq8jJqefqelvzfHyPx9tRy6kIJf/ngJN/9mllhaqtomiI6BDH++UG0iG5GmdXOrrUnSInPRrnMgn8eei32Mju20rI6rqmAauTcXFRaWkpZWcVfls1mo6Sk+hHq+PHjycjIYM6cOaSmptKjRw/WrVvnTDJOSkpC44ZkJCFE0zOoqx8dW3ox/6skDpwuZMHaC+w5kc9T4yLw95H1Z5o6k6+RO6b148CGePZ8f5LCHAvHdybRtmcYJrPrTLcya/nu5TpDtb9mRQ2ods7N0KFD6dKlC++//77L8WnTpnHo0CF++eWXGq1gTZOp4EKIq3E4VL7Zlcmn61KwlamYvTyYMbYFN3Yyu7tqlXI4VJl9VceST2Xxwz/3YbWUoSjlG3AGtTSjKIrk3NSSGt8V/FI7duwgJiaGG264gVtvvRWAjRs3snfvXn766ad6v2KwBDdC1G/16Ys6MbWEt1YkkZBann8z4oYA/jwqHM96tEXCpevmWG0qep1CRJCRAZ1l3ZzalnImm5+XxlKQXT5qYQ72onm7ACxFNjy99E1ytlRtqtXgBspnLb399tvExsbi6elJt27dmD17Nu3atbvmStcVCW6EqL/q4xe1tczBZz+l8vX2DFQVwpvpefqelnSK9HJLfS6VlG5h7Y5M8optBJv1GPQaSq0O0vOsmE06xgwMlACnlmWl5PPrmjjOHk8HtTzXpn3f5nQdIoFNTav14KYhk+BGiPqpvn9RH4wvZO6XSWTm2dAoMHZQEPfHhKLXuScn0OFQWbk1ndPJxUQGGytMRT6bbqFdcxP3DA6WIapapjpUEo+kse3LoxTlWtBoFG68swPdb2lV6XZF4trU6lTwS1ksFvLz811eQghRXQ6Hys6jeeQV24gMNmIyatFqFExGLZHBRvKKbew6llfnm11eqnsbbxY+2Z5be5ZPGf9qWwZ/+eAkpy4Uu6U+GXk2zmVYCDbrK52KHGTWk5RuIaMO989qqhSNQqtuodz3f4Np0zOs/PO85jg//HMfliKru6vXJFU7uCkuLmb69OkEBwfj5eWFv7+/y0sIIaqroXxRe3tqeebelsy5Pwo/bw+S0kuZ8eEpPt+Qiq2ON1gsLrVjtakY9JX/M27Ua7CVqRSX2uu0Xk2ZwVPHsMk9GTy+C1oPDWePpLPijV9IOZPt7qo1OdUObp599lk2bdrEwoULMRgM/Otf/+LVV18lPDyczz77rDbqKIRo5BraF3X/TmY+mtGewV3NOBywbFMaTy08TUJq3S3YZjJo0esUSq2VB1UWqwOdh4KpHiU/NwWKotDlpkjGPT0Qv2AvinItrHnvV/b/dBrVjT2PTU21g5tvv/2WDz/8kHHjxuHh4cGgQYN48cUX+fvf/84XX3xRG3UUQjRyDfGL2uzlwew/RvH8hJb4eGqJTy7hiQ9OsWJLGnZ77X+JBZl1RAQZSc+zVlhoUFVVMvKstAw2EmSW9XncIbCFL3c/exPt+oSjOlR2fxvHdwv3UFxQevU3i+tW7eAmOzub1q1bA+Dr60t2dnl320033cS2bdtqtnZCiCahIX9RD+nmz0dPtadfR1/K7CpL1qfy9MenOZ9Ru9s3aDQKAzqbMZt0nE23UGSxY3eoFFnsnE23YPbS0b+TWZKJ3Uhv9CBmUg+G/rEbHjoN505ksvKNX7hwKsvdVWv0qh3ctG7dmoSEBKB8r6eVK1cC5T06fn5+NVo5IUTT0NC/qAN8dLx8fxQz747AZNAQd66Yaf84yertGbWaBN0y2MiYgYG0DTeRX1zGhcxS8ovLaNfcxJgBMg28PlAUhY79I7j72ZvwD/WmOL+Ub97/lb0/nKz0s6E6VPKzislKzic/q1iGsq5RtaeCv/POO2i1Wp544gl+/vlnRo8ejaqq2Gw25s+fz5NPPllbda0RMhVciPrr0nVubGUqOg+FlsFG+ndy/4J0VV1cMCPXyjurznHgdCEAXVp5MfPuCMICDG6vm3AvW2kZv3x1lBO/ngegeXQzYib1wOu/WzdkpxaQcDCNnLRC7DY7Wp0W/xBvWnUPkTVzqON1bs6ePcv+/ftp27Yt3bp1u55L1QkJboSo3+rjF3V1FxdUVZUf92Sz6IdkLFYHRr2GqbeHcXvfZrLuiSBuz3m2rjhCmdWOp4++PMDxM3J4SyIlRVa8/Yx4GDwoKy2jMNciqx3/V60FNzabjREjRvDRRx81iNWIKyPBjRBNR00EStezuGBKdinzvzrHkYQiAHq182bG2AiC/PTX/WyiYctJLeSnxb+RlVwACoS3CcDgpSMgzKfCgoyyT1W5Wu25CQoKYufOnRLcCCHqtZrYyqEmVgF2OFTW7sxkyfoUrGUqJoOGR0c3J6aXv/TiNHFlVjs7Vh/j6PYkALzMBtr0DEPv6Zo4by2xYSmy0XdUNL7NTO6oar1QqysU/+lPf+KTTz655soJIURtu9jbcjq5GLPJgxZBBswmD04nF7N2RyZJ6VWbyVQTiwtqNAp/uCmIBU9E0z7CRHGpg/lfnePVzxPJLpDVg5syD72WIeO70v+uDigahaK8Uo7tSCI3vahCOXuZHVtpmZtq2vB4VPcNZWVlfPrpp/z888/07t0bLy/XzePmz59fY5UTQojq+v1WDheDEpNRS6TByNl0C7uO5dEi0HDVIaqqLC6YlV+1xQVbBBmZ90hbVv2Szuc/p7H7eD6PJsbxwPBQRvRphlYrvThNVZseYaTE55CWkENJoZXT+5MJaeVH8+hANBqFMqsdrYcWnaHaX9lNVrVb6siRI/Tq1QuAkydPupyTLlYhhLtVp7clxP/KuS+XLi5oMlZcQLC6iwtqtQr33hzCDR18mbsyiTMpFj5Yc4G1OzN5aEQY/Tr4yr+jTZCPvychkX4oChTlWUg/m0daQi6FORZadw+hKK+UoAgzPv6e7q5qg1Hl4ObMmTO0atWKzZs312Z9hBDiutRkb8vFxQVPJxcTaaiYc5ORZ6Vdc1O1FxdsFerJe9Oi+f7XTJZtSuNceimvfpZI11ZeTL09nOgWTTevoilSNAqtuodQmFOColHw9NZzPi6LolwLR7cn0SI6kFbdQpp0MnF1VTnnpl27dmRkZDh/Hj9+PGlpabVSKSGEuFY1uZVDbS4u6KFVGDMwiE+e6cg9Q4LQeSgcTijiyQWneHP5WdJyZDfppiQg1IeuN0cR1MKMwaSneXQABpMOh10l6XgGJ349j91et5uzNmRVni2l0WhITU0lODgYAB8fHw4ePOjciqGhkNlSQjRuNTHD6ffqYnHB9Fwrn/2UyqbYHFS1PPi5c0Ag9w0NxsdTci2aCtWhUpBTgq20DI1Ww5FfznJ4ayIAIa38GPZgL3wCmubwVK1MBZfgRgjRUFy6Nk2QWY9Rr8FidZCRZ8XspbumrQnqanHB08nFfPJDCrHx5Ssce3tqmTA0hDv6N0PvUe0JrqIROHMwlU1fHMRaUobBpOPW+7sT1SXE3dWqc7US3Gi1WlJTUwkKCgLKg5tDhw7RqlWr669xHZLgRoimoT5v5XA1qqqy72QBn/6YQmJa+bT1UH89DwwPZUg3P0k6boLyM4tZv/g3MpLyAOhxa2v6jW6PVtt0At5a67kZOXIkBkP5/ijffvstt9xyS4Wp4F9//fU1VrtuSHAjRNNRH7dyqA67Q+Xn/dl8tiGV7ILyNU6iW3gy9fZwurbydnPtRF2z2+zs+uYEh7YkAk1vmKpWgpvJkydX6eaLFy+uUjl3keBGCNHQWKx2vv4lky+3pWP5b6L0jR19eWhEGBH1vBdK1Lz42BQ2LzvU5Iap6nTjzIZGghshREOVU2Dj3xvTWLc3C4cDNBoYeUMzJt4agr9P9aaji4atKQ5TSXBzBRLcCCEauqR0C4vXpfDr8XwAPPUa7hkSzB9uCsSor9qCgqLha2rDVBLcXIEEN0KIxuLQmUI++TGZk+dLAPD39mD80GBG9pWZVU1JUxmmkuDmCiS4EUI0Jg6HyrbDuSxdn0rqfxf+CzLr+OOtIdzWK0D2rGoi8jKL+amRD1NJcHMFEtwIIRqjMrvKT/uyWbYpjaz88t3Gw5vp+VNM+fTxhjRLTFybxj5MJcHNFUhwI4RozEptDn7YncWKLenkFZVPH48KMXL/baH07yQbczYFjXWYSoKbK5DgRgjRFJSU2lmzM5NV29IpspRPH49u4cmk28Lo1c5bgpxG7vfDVD1j2tDvjmg0DXiYSoKbK5DgRgjRlBSUlLFqWwZrd2Y618jpEuXFA8NC6SILATZqdpudnWtPOPemCmsTwG0P9sTbr2GujSTBzRVIcCOEaIpyC22s2JLO97uzsJWV/7Pfu50Pk4aFEt3C5ObaidoUfyCFTcsOYbOU4emtJ+aBHkR0CHJ3tapNgpsrkOBGCNGUZeRa+c/mNH7al429vCOHAZ3NTLotlMiQhvkXvbi63PQi1n/6G1kX8kGBPiPa0WdEuwaVaF6d7+96Mfi2YMECoqKiMBqN9OvXjz179ly27Ndff02fPn3w8/PDy8uLHj168Pnnn9dhbYUQouEK8tPzxB8i+OfMDtzSwx9FgZ1H83jsvTjeWnGW5MxSd1dR1AK/YC/GzRxApwERoMK+H0/x3Yd7KC5onL9vt/fcrFixgkmTJvHRRx/Rr18/3n33Xb788kvi4uIIDg6uUH7Lli3k5OTQoUMH9Ho93333HU8//TTff/89w4cPv+r9pOdGCCH+52yahc83pLLjaHniqUYDw3oH8MdbQgjy07u5dqI2xO05z9YVRyiz2jH5Ghg2uRfhbQPcXa2ralDDUv369eOGG27ggw8+AMDhcBAREcFf/vIXnn/++Spdo1evXowaNYq//vWvVy0rwY0QQlR06kIxn/2Uyr6TBQDoPBRG9w9k/JBgfL083Fw7UdOyUwpY/+lv5KQWomgUbhzdnh63tEapx8NUDWZYymq1sn//fmJiYpzHNBoNMTEx7Nq166rvV1WVjRs3EhcXx+DBgystU1paSn5+vstLCCGEq3bNTfx1cmvefqQNXVp5YStT+fqXDCa/fZz/bEqjpNTu7iqKGhQQ5sPdzwykXZ9wVIfKrrUn+GHRPixFVndXrUa4NbjJzMzEbrcTEuK6uFBISAipqamXfV9eXh7e3t7o9XpGjRrF+++/z2233VZp2ddffx2z2ex8RURE1OgzCCFEY9Ilypu3Hm7D/3uwFa3DjBSXOvhsQyoPzT3BNzszsZU53F1FUUN0Bg9iJvXg5vu6ovXQcPZIOivf3E5aYq67q3bd6kVCcXX5+PgQGxvL3r17ee2115g5cyZbtmyptOzs2bPJy8tzvs6dO1e3lRVCiAZGURRuaO/L+9OjmTW+JaEBenILy1j47QX+PD+OTQdysDua1ETbRktRFDoNbMm4pwfgG2iiMKeE1e/u5NCWBBryZGq35txYrVZMJhNfffUVd911l/P4Aw88QG5uLmvXrq3SdaZOncq5c+dYv379VctKzo0QQlSPrczB+v/uW5VT8N8tHUKNPDgsjL4dfBrcascOh0pGno3iUjsmg5Ygs65BTYmuKtWhUpBTgq20DJ3BAx9/zyvm1JSW2Ni87BBnYstHTtr0COXmP3bD4KmrqypfUXW+v92aJabX6+nduzcbN250BjcOh4ONGzcyffr0Kl/H4XBQWto4p7MJIYS76Tw03HFjIDG9/Fm7M5Mvt6aTmGrhlc8S6BRpYvKIMLpENYzVjpPSLew8mse5DAtWm4pepxARZGRAZzMtgxvPOj/ZqQUkHEwjJ60Qu82OVqfFP8SbVt1DCAj1qfQ9Bk8dwx/qxeGtiexcc5z42FQyL+Qz/KFeBLYw1/ETXB+3z5ZasWIFDzzwAB9//DF9+/bl3XffZeXKlZw4cYKQkBAmTZpE8+bNef3114HyHJo+ffrQpk0bSktL+eGHH3j++edZuHAhU6dOver9pOdGCCGuT0FxGSu3pvPNzkys/13tuG97Hx4cHkarsPq7A3VSuoW1OzLJK7YRbNZj0GsotTpIz7NiNukYMzCwUQQ42akFHN6SSEmRFW8/Ix4GD8pKyyjMteDppafrzVGXDXAuSkvMYf2nByjMKUHroWHQ3Z3pOCDCrb10DabnBmD8+PFkZGQwZ84cUlNT6dGjB+vWrXMmGSclJaHR/C81qKioiMcff5zz58/j6elJhw4d+Pe//8348ePd9QhCCNGk+Jg8mDIynDEDgvjPpjTW7ctiT1wBe08WcHN3P+6/LZSwAIO7q+nC4VDZeTSPvGIbkcFG55e0yagl0mDkbLqFXcfyaBFoaNBDVKpDJeFgGiVFVvxD/7dBqt5Th7/Rg5zUQhIOpeEf7H3FIaqQKH/unXUTGz8/yNmj6WxZfpjk+GyGjO+CzuD20OGq3N5zU9ek50YIIWrW+YxSPv85lW2HcgHw0CqMvCGACbeE4O9TP/I10nKsfLYhBbPJA5NRW+F8kcVOfnEZk24LI8S/4S5emJ9VzJ7vT2L00qGvJFfGWmLDUmSj76hofJtdfU8x1aESu+kMv34bh+pQ8Q/1ZvhDvQgIu3LPT21oMOvcCCGEqF8cDpW0HCsJqSWk5VhxVGFWVIsgA7MnRPL+9Hb0budDmV3l21+zeGjuCT77KYUii/vXyCkutWO1qRj0lX/tGfUabGUqxQ18PR9baRl2mx2Py/SueOi12Mvs2ErLqnQ9RaPQM6YNY/7SD5OvgZzUQr6au4O4vedrsto1rv73LQkhhKgT15ts27a5ib891JqD8YUsXp9C3Lli/rO5fCfyCbeEMKpfM3Qe7vmb2mTQotcplFodlfbcWKwOdB4KJkPFcw2JzuCBVqelrLSs0p6bMqsdrYe22kNL4W2bce/zg/h5aSzn4zLZ+NlBUk5nc9O4znjo61+bSc+NEEIIZ7Lt6eRizCYPWgQZMJs8OJ1czNodmSSlW6p8re5tvHnnsba89KcoIoIN5Bfb+fi7ZP78ThxbD+W4Zf2UILOOiCAj6XnWCvdXVZWMPCstg40EmevHMNq18vH3xD/Em8JcS6XPWZhrwT/UGx//6id+m3wM3PF4X24Y2Q4UOLbzHKvm7yQ3vaimql9jJLgRQogm7vfJtiajFq1GKU+2DTaSV2xj17G8Kg1RXaQoCgM6m1n4RHueHNuCAB8PUrOtvPGfJGZ8eIpDZwpr8Ykq0mjK62M26TibbqHIYsfuUCmy2DmbbsHspaN/J3ODTiaG8mGkVt1D8PTSk5NaiLXEhsPuwFpiIye1EE8vPa26hVzzHlIajcINt0cz+vG+eHrrybqQz5dvbyf+QEoNP8n1kYRiIYRo4uoi2dZitfP1L5l8tS2dEmv5Fg59O/jy0IgwIkPqbvr1pUNvtjIVnYdCy2Aj/Ts14nVuysqHovxDvWnV7fLr3FRXYa6FDYt/I+VMDgBdh0TR/84OFBeUVnnhwOpoULuC1zUJboQQwlVCagnLNqbRIsiAtpIvIrtD5UJmKRNuCaFV6PWtY5NTYGPZpjR+2JOFwwEaBYb1CeBPMaE0862bISFZobjmOOwOdn93kgM/xwPg5WckuGV5D1hVFg6sDglurkCCGyGEcOWOadLnMywsWZ/KjqN5ABh0CmNvCuLuIcENPqm3KTr8SyI7vz6OvcyB1kNDVNcQvMyGai0ceDUyFVwIIUSVuSPZtkWQkRf/FMW8R9vSsaWJUpvKfzan89DbJ/huVyZl9ib1d3eDpjpUrMVlhEc3w2Q2YC9zkHQsHa2+fCispMhKwqE01DrcbFWCGyGEaOLcmWzbKdKLeY+25cWJkTRvpievqIwF31zg0XdOsONIboPembqpKMgpISetEP9gLzrcGEFwpB+tu4ei1WpQFAVvPyM5qYUU5JTUWZ1knRshhBC0DDYyZmCgM9k2K7882bZdc1OtJ9sqisLALn7062hm3Z4s/r0xjQtZVv72xVk6tjQxZWQ4naO8au3+4vr8b+FATzQahZadglzOe+i12PMsVV44sCZIcCOEEAIoD3BaBBrclmzroVW4o38gQ3v6s+qXDL7+JYPjScU88/FpBnQ2M3l4KC2CGs+MpsaithYOvB6SUCyEEKJeysq38e+fU/lpXzYOtXxm1cAuZu4eHEzbcM9GOcOpIVIdKr9tiCfjfJ7LZp1QnrOVk1pIUISZXjFtrmu2lsyWugIJboQQomH59Vgen/yYwvnMUgC0Guja2pspI8Jo2/zqmz+K2pedWsDhLYmUFFnx9jPioddSZrW7bbaUBDdCCCHqrYvbQuQV21CAY2eLyS4oz90w6BTGDw3h3iHBla7PI+pWbS8cWJ3vb8m5EUIIUS/9flsIRSlfTfhsmoXY+EKKLA4++ymVXw7lMmVkOL2ja2blXXFtAkJ98A/2rvWFA6tCghshhBC14npXAs7Is3Euw0KwWe/M41AUhahQTyKCjBxOLCTuXDEJqRZeXHyGXu28mToynFZh17eKsrh2ikbBt5n7hwoluBFCCFHjLt3DyWpT0esUIoKMDOhc9WnlxaV2rDYVg77ikmxarULXVt74eGoxGbRsO5zHb6cKmXb6JDG9/Ln/tlCCzDWzmrJoeGQRPyGEEDXqYp7M6eRizCYPWgQZMJs8OJ1czNodmSSlW6p0HZNBi16nUPrfjTZ/z2J1YDJqmTQsjI+fas/grmZUFTbsz+HheSdY+lMKRRZ7TT6aaCAkuBFCCFFjfp8nYzJq0WoUTEYtkcFG8opt7DqWh6MKS/FXZ1uI8GYGZv8xivmPtaVTZPl2Dss3pzNlrmzn0BRJcCOEEKLGVJYnc5GiKASZ9SSlW8jIs131WteyLUTHll7MfaQtL/4pymU7h8fei2PXsTzZzqGJkJwbIYQQNeZKeTIARr2GrHyV4tKqDRddy7YQiqIwsLOZfh18+XFPFv/emMr5jFL+3+eJdGnlxdSR4bSPcH/Sq6g9EtwIIYSoMZfmyZiM2grnLVYHOg8Fk6Hiucu51m0hPLQKo/sHcktPf77cms7q7RkcSShixoenGNLNjweHhxIaYKj2M4r6Txbxuwy73Y7NdvVuU9G06XQ6tNqq/yMtRGPncKis3JrO6eRi59o0F6mqytl0C+2am7hncHCdb5+QkWvlsw2pbDyQg6qWBz939g/kvqHB+Jjkb/36TlYovoKrNY6qqqSmppKbm1v3lRMNkp+fH6GhoRXyC4Roqi5dVTjIrMeo12CxOsjIs2L20jFmQGCt7jJ+NfHJJXzyYzIHThcC4O2pZcLQEO7o3wy9h6Si1lcS3FzB1RonJSWF3NxcgoODMZlM8oUlLktVVYqLi0lPT8fPz4+wsDB3V0mIeuPSdW5sZeV5Mi2DjZfNk6lrqqqy/2QBn/yYQmJa+dT0UH89k0eEMairWf7tr4ckuLmCKzWO3W7n5MmTBAcH06xZMzfVUDQ0WVlZpKenEx0dLUNUQlzielcorgt2h8rP+7P5bEOqc8+q9hEmpt4eRpcobzfXTlxK9pa6RhdzbEwmyaIXVXfx82Kz2SS4EeISGo1CiH/9XiVYq1EYfkMzhnT3Y9UvGXy1LYO4c8U8+3E8AzqbmTw8jBZBknTc0MjgYiWkO1JUh3xehGj4jHotE28N5ZNnOjCybwAaBXYezePRd0/w4TfnyS0sc3cVRTVIcCOEEEL8V4CPjif+EMGHT7anb3sf7A74dlcWU+YeZ+WWNEptlW8FIeoXCW5qiepwYM3IwHLuHNaMDFSH/A/hDoqisGbNGndXQwjRwESGGHn1wda8PrU1bcI9KS51sHh9Kg/PO8HPv2VXafuIa+FwqKTlWElILSEtx1pr92nsJOemFpQmJ1Owfz+lKSmoNhuKTochLAyf3r0xhIfX2n1TU1N57bXX+P7777lw4QLBwcH06NGDGTNmcOutt9bafeuDV155hTVr1hAbG+tyPCUlBX9/f/dUSgjR4PVo48M/pnmz5WAuS9ankJFnY96X51izI5MpI8Po2danxu5VEzupi3IS3NSw0uRksn/6CXthIR4BAWgMBhylpVjOnsWWlUXAsGG1EuAkJiYycOBA/Pz8ePvtt+natSs2m43169czbdo0Tpw4UeP3rAk2mw2dTldr1w8NDa21awshmgaNRuGWnv4M7GJm7c5MVmxOIz65hP/75Aw3tPdhyshwIkOuL/i4dG2gYLMeg15DqdXB6eRiMnJtjBno3rWBGhoZlqpBqsNBwf792AsL0YeHo/X0RNFo0Hp6og8Px15YSMFvv9XKENXjjz+Ooijs2bOHcePGER0dTefOnZk5cya//vorAElJSYwZMwZvb298fX259957SUtLc17jlVdeoUePHnz++edERUVhNpu57777KCgocJb56quv6Nq1K56enjRr1oyYmBiKioqc5//1r3/RsWNHjEYjHTp04MMPP3SeS0xMRFEUVqxYwZAhQzAajSxcuBBPT09+/PFHl+dZvXo1Pj4+FBcXAzBr1iyio6MxmUy0bt2al156yTm7bcmSJbz66qscPHgQRVFQFIUlS5YArsNSAwYMYNasWS73ycjIQKfTsW3bNgBKS0t55plnaN68OV5eXvTr148tW7Zcx29GCNFYGHQa7h0SzCfPdOTO/oFoNbA3roDH34vjva/PkZ1/bava1+RO6qJcvQhuFixYQFRUFEajkX79+rFnz57Lll20aBGDBg3C398ff39/YmJirli+LtmysihNScEjIKDS3XA9AgIoTU7GlpVVo/fNzs5m3bp1TJs2DS8vrwrn/fz8cDgcjBkzhuzsbLZu3cqGDRs4c+YM48ePdykbHx/PmjVr+O677/juu+/YunUrb7zxBlA+xDNhwgQeeughjh8/zpYtWxg7dqxzl90vvviCOXPm8Nprr3H8+HH+/ve/89JLL7F06VKXezz//PM8+eSTHD9+nHvuuYc77riDZcuWuZT54osvuOuuu5zTrH18fFiyZAnHjh3jvffeY9GiRbzzzjsAjB8/nqeffprOnTuTkpJCSkpKhecCmDhxIsuXL3fZFXjFihWEh4czaNAgAKZPn86uXbtYvnw5hw4d4p577mHEiBGcOnWqWr8TIUTj5eftwWN3NufjpzowsLMZhwrr9mYzZd4Jvvg5FYu1apuCXlSTO6mLcm4PblasWMHMmTN5+eWX+e233+jevTvDhw8nPT290vJbtmxhwoQJbN68mV27dhEREcGwYcO4cOFCHde8IofFgmqzoTFUviaCRq9HtdlwWCw1et/Tp0+jqiodOnS4bJmNGzdy+PBhli1bRu/evenXrx+fffYZW7duZe/evf97BoeDJUuW0KVLFwYNGsT999/Pxo0bgfLgpqysjLFjxxIVFUXXrl15/PHH8fYuX+jq5ZdfZt68eYwdO5ZWrVoxduxYnnrqKT7++GOXusyYMcNZJiwsjIkTJ7JmzRpnL01+fj7ff/89EydOdL7nxRdfZMCAAURFRTF69GieeeYZVq5cCYCnpyfe3t54eHgQGhpKaGgonp6eFdrg3nvvJTk5me3btzuPLVu2jAkTJqAoCklJSSxevJgvv/ySQYMG0aZNG5555hluuukmFi9eXN1fixCikWseaODFP0Xx9p/b0DrMiMXq4N8b05gy9wTr9mZhr2JPS1V2UreVVX0ndVEPgpv58+fz8MMPM3nyZDp16sRHH32EyWTi008/rbT8F198weOPP06PHj3o0KED//rXv3A4HM4vYHfSGI0oOh2O0tJKzzusVhSdDo2xZsdNq7LI9PHjx4mIiCAiIsJ5rFOnTvj5+XH8+HHnsaioKHx8/pcgFxYW5gw0u3fvzq233krXrl255557WLRoETk5OQAUFRURHx/PlClT8Pb2dr7+9re/ER8f71KXPn36uPx8++23o9Pp+OabbwBYtWoVvr6+xMTEOMusWLGCgQMHEhoaire3Ny+++CJJSUlVbSIAgoKCGDZsGF988QUACQkJ7Nq1yxlEHT58GLvdTnR0tMszbN26tcIzCCEElOfKHEksIjLEQIcIE0a9huyCMt77+jzT/3GSvXH5V/03+tKd1CtzLTupN3VuDW6sViv79+93+RLTaDTExMSwa9euKl2juLgYm81GQEBApedLS0vJz893edUWXbNmGMLCKMvOrvBhVlWVsuxsDOHh6Gp4a4d27dqhKEqNJA3/PrlXURQc/80R0mq1bNiwgR9//JFOnTrx/vvv0759exISEigsLN+AbtGiRcTGxjpfR44cceb8XPT7oTO9Xs/dd9/tHJpatmwZ48ePx8OjPN/9YgBy++23891333HgwAFeeOEFrFZrtZ9v4sSJfPXVV9hsNpYtW0bXrl3p2rUrAIWFhWi1Wvbv3+/yDMePH+e9996r9r2EEI3bxSTg08nF+Hnp6NHWm2G9/YkKNaDTKiSmWZizJIEXPj1DfHLJZa8TZNYREWQkPc9a6XdHRp6VlsFGgsy1N/misXFrcJOZmYndbickJMTleEhICKmpqVW6xqxZswgPD3cJkC71+uuvYzabna9Ley5qmqLR4NO7N1pvb6zJydhLSlDtduwlJViTk9H6+ODTqxeKpmabPSAggOHDh7NgwQKX5N6LcnNz6dixI+fOnePcuXPO48eOHSM3N5dOnTpV+V6KojBw4EBeffVVDhw4gF6vZ/Xq1YSEhBAeHs6ZM2do27aty6tVq1ZXve7EiRNZt24dR48eZdOmTS5DUjt37iQyMpIXXniBPn360K5dO86ePevyfr1ej91+9S7bMWPGYLFYWLduHcuWLXO5T8+ePbHb7aSnp1d4Bpl1JYS41OWSgH1MHgzoZKZXtDedo0x4aBUOnC7kLx+cZN6XSWTkVfyjTKNRGNDZjNmk42y6hSKLHbtDpchi52y6BbOXjv6dzPVuX676rEFPBX/jjTdYvnw5W7ZswXiZoZ7Zs2czc+ZM58/5+fm1GuAYwsMJGDbMuc5N2X/XuTFGReHTq1etrXOzYMECBg4cSN++ffl//+//0a1bN8rKytiwYQMLFy7k2LFjdO3alYkTJ/Luu+9SVlbG448/zpAhQyoME13O7t272bhxI8OGDSM4OJjdu3eTkZFBx44dAXj11Vd54oknMJvNjBgxgtLSUvbt20dOTo7L76AygwcPJjQ0lIkTJ9KqVSv69evnPNeuXTuSkpJYvnw5N9xwA99//z2rV692eX9UVBQJCQnExsbSokULfHx8MFSS++Tl5cVdd93FSy+9xPHjx5kwYYLzXHR0NBMnTmTSpEnMmzePnj17kpGRwcaNG+nWrRujRo2qUjsJIRq/qyUBhwUYyC8u48FhYXz3axZbD+Xy8285/HI4lz/cFMTdg4PxMv5vmKllsJExAwOd69xk5ZfvpN6uuane7KTekLg1uAkMDESr1bpMRwZIS0u76l/Kc+fO5Y033uDnn3+mW7duly1nMBgq/ZKrTYbwcPShodiysnBYLGiMRnTNmtV4j82lWrduzW+//cZrr73G008/TUpKCkFBQfTu3ZuFCxeiKApr167lL3/5C4MHD0aj0TBixAjef//9Kt/D19eXbdu28e6775Kfn09kZCTz5s1j5MiRAEydOhWTycTbb7/Ns88+i5eXF127dmXGjBlXvbaiKEyYMIG33nqLOXPmuJy78847eeqpp5g+fTqlpaWMGjWKl156iVdeecVZZty4cXz99dcMHTqU3NxcFi9ezIMPPljpvS4OcQ0ePJiWLVu6nFu8eDF/+9vfePrpp7lw4QKBgYHceOON3HHHHVVuJyFE41eVJOCsfBUvTy3PT4jkDzcF8a8fkjmSWMTyzen8uCebP8WEMOKGZnhoy4OjlsFGWgQa6v1O6g2BolYlG7UW9evXj759+zq/ZB0OBy1btmT69Ok8//zzlb7nrbfe4rXXXmP9+vXceOON1brflbZMt1gsJCQk0KpVq8v2BAnxe/K5EaLpScux8tmGFMwmD0zGiom+RRY7+cVlTLotzLkzuqqq7DqWz6frUriQWT7xpEWQgSkjwujX0Vc24b2KK31//57bZ0vNnDmTRYsWsXTpUo4fP85jjz1GUVERkydPBmDSpEnMnj3bWf7NN9/kpZde4tNPPyUqKorU1FRSU1OdCa1CCCFEbbuWJGBFKc+t+WhGex6/szm+XlrOZ5Ty6ueJzFoUz8nzxXX9GI2W23Nuxo8fT0ZGBnPmzCE1NZUePXqwbt06Z5JxUlISmkuGcxYuXIjVauXuu+92uc7LL7/sMkwhhBBC1JaLScAZuTbOplsIMusx6jVYrA4y8qxXTAL20CqM7h/ILT39+XJrOqu3Z3A4oYgnF5zi5u5+PDj8f7094tq4fViqrsmwlKhp8rkRoum6dLNLW1l5EnDLYGO1koAzcq0s/SmVjQfK1w3z0CrcNTCQ8TeH4O0pa9tcVJ1hKbf33AghhBANVU0kAQf56Xnm3pbcNTCQf/2YwsH4Qr7alsFP+7L54y0h3N6vGToPt2eRNCgS3AghhBDXQaNRamQYqW1zE69Pac3euAI++TGZpPRSPvoumW92ZfLQiDAGdDZL0nEVSXAjhBBC1BOKotC3gy+92/mwfn82/96QSnKWlb99cZZOkSYevj2cDi0rbpAsXEk/lxBCCFHPaLUKt/dtxr+e6cCEW0Iw6BSOnS3mqYWnef0/Z0nNrnwPQ1FOghshhBCinjIZtEy6LZR/Pd2R23r7oyiw7VAuD8+PY9EPyRSUlLm7ivWSBDeiSrZs2YKiKOTm5rq7KkII0eQEmnXMvLslH/wlmp5tvSmzq3z9SwYPvX2C1dszsJVVvqN4UyXBTS1RHSr5WcVkJeeTn1WM6qjdGfcPPvggiqLw6KOPVjg3bdo0FEW57HYE9c0rr7xCjx493F0NIYSod1qHefLaQ63564OtiAwxUlhi55/fJ/PIO3H8cji3woKCTZUkFNeC7NQCEg6mkZNWiN1mR6vT4h/iTavuIQSE+tTafSMiIli+fDnvvPMOnp6eQPkaLMuWLauwh5I7WK1W9HpZmEoIIa6Hoij0ae9Lz7Y+bPgtm882pJKSbeXvy87SsWV50nHHyKaddCw9NzUsO7WAw1sSyTifh9FLhznEG6OXjozzeRzekkh2akGt3btXr15ERETw9ddfO499/fXXtGzZkp49ezqPlZaW8sQTTxAcHIzRaOSmm25i7969Ltf64YcfiI6OxtPTk6FDh5KYmFjhftu3b2fQoEF4enoSERHBE088QVFRkfN8VFQUf/3rX5k0aRK+vr78+c9/BmDWrFlER0djMplo3bo1L730EjabDYAlS5bw6quvcvDgQRRFQVEUlixZAkBubi5Tp04lKCgIX19fbrnlFg4ePFhTzSeEEA2KVqsw4oZmfPJ0BybeGoJBp+F4UjEzPzrN35clciHDQlqOlYTUEtJyrDhqeQShPpHgpgapDpWEg2mUFFnxD/VG71m+kJPeU4d/qDclRVYSDqXV6hDVQw89xOLFi50/f/rpp859ui567rnnWLVqFUuXLuW3336jbdu2DB8+nOzsbADOnTvH2LFjGT16NLGxsUydOrXCJqbx8fGMGDGCcePGcejQIVasWMH27duZPn26S7m5c+fSvXt3Dhw4wEsvvQSAj48PS5Ys4dixY7z33nssWrSId955ByjfjuPpp5+mc+fOpKSkkJKSwvjx4wG45557SE9P58cff2T//v306tWLW2+91VlvIYRoijwNWv4UE8onz3RgeJ8AFAV+OZzHn9+J46XFZ1i6PoXPNqSwcms6SekWd1e3Tsj2C5e43mX087OK2fP9SYxeOvSeugrnrSU2LEU2+o6KxreZ6ZqfoTIPPvggubm5LFq0iIiICOLi4gDo0KED586dY+rUqfj5+bFgwQL8/f1ZsmQJf/zjHwGw2WxERUUxY8YMnn32Wf7v//6PtWvXcvToUef1n3/+ed58801ycnLw8/Nj6tSpaLVaPv74Y2eZ7du3M2TIEIqKijAajURFRdGzZ09Wr159xbrPnTuX5cuXs2/fPqA852bNmjXExsa6XHvUqFGkp6djMBicx9u2bctzzz3n7BVyB9l+QQhRn+w8msvCb5PJzCvvEdd5KLRvYcLHpMHfW8+YgYFV3hqiPpHtF9zEVlqG3WbHw+BZ6XkPvRZ7ngVbae1N3QsKCmLUqFEsWbIEVVUZNWoUgYGBzvPx8fHYbDYGDhzoPKbT6ejbty/Hjx8H4Pjx4/Tr18/luv3793f5+eDBgxw6dIgvvvjCeUxVVRwOBwkJCXTs2BGAPn36VKjjihUr+Mc//kF8fDyFhYWUlZVd9YN68OBBCgsLadasmcvxkpIS4uPjr/heIYRoKhwOlaT0UtpHeNI1ysSB+CJyC8s4kliEt1FD86Aydh7NpUVgSLW2iGhoJLipQTqDB1qdlrLSskp7bsqsdrQeWnSG2m32hx56yDk8tGDBglq5R2FhIY888ghPPPFEhXOXJi97ebkmte3atYuJEyfy6quvMnz4cMxmM8uXL2fevHlXvV9YWBhbtmypcM7Pz++ankEIIRqbjDwb5zIsBJv1mIxaQpsZOJNi4WB8IYUWB3HnSkjNttIy2JMBnc3urm6tkeCmBvn4e+If4k3G+Tz8jR4ue4CoqkphroWgCDM+/pX37NSUESNGYLVaURSF4cOHu5xr06YNer2eHTt2EBkZCZQPS+3du5cZM2YA0LFjR7755huX9/36668uP/fq1Ytjx47Rtm3batVt586dREZG8sILLziPnT171qWMXq/HbrdXuF9qaioeHh5ERUVV655CCNFUFJfasdpUDPrylFqNotA23JPIYAPHk4o5draIvCI7f/13IoO7+TF5eCihAYarXLXhkYTiGqRoFFp1D8HTS09OaiHWEhsOuwNriY2c1EI8vfS06haCUstdgVqtluPHj3Ps2DG0Wq3LOS8vLx577DGeffZZ1q1bx7Fjx3j44YcpLi5mypQpADz66KOcOnWKZ599lri4OJYtW+acsXTRrFmz2LlzJ9OnTyc2NpZTp06xdu3aCgnFv9euXTuSkpJYvnw58fHx/OMf/6iQkxMVFUVCQgKxsbFkZmZSWlpKTEwM/fv356677uKnn34iMTGRnTt38sILLzhzdYQQoqkzGbTodQqlVtdF/XQeGrq19iamlz9hAXoU/rfS8Sc/JlNYYq/8gg2UBDc1LCDUh643RxHUwoylyEZeRhGWIhtBEWa63hxVq+vcXMrX1/eyeSxvvPEG48aN4/7776dXr16cPn2a9evX4+/vD5QPK61atYo1a9bQvXt3PvroI/7+97+7XKNbt25s3bqVkydPMmjQIHr27MmcOXMIDw+/Yr3uvPNOnnrqKaZPn06PHj3YuXOncxbVRePGjWPEiBEMHTqUoKAg/vOf/6AoCj/88AODBw9m8uTJREdHc99993H27FlCQkKuo6WEEKLxCDLriAgykp5nrbCgn6qqFFrsDL8hgPemtaNHm/KVjr/alsGUucdZuzODMnvjmGMks6UuUZOzXlSHSkFOCbbSMnQGD3z8PWu9x0a4h8yWEkLUJ0npFtbuyCSv2EaQWY9Rr8FidZCRZ8XspWPMgPLZUqqqsjeugH/9mMy59PKNOJsHGpgyMowbO/q6pFbUBzJbqh5QNEqNT/cWQgghrqZlsJExAwPZeTSPcxkWsvJVdB4K7Zqb6N/J7JwGrigKfTv40rudD+v2ZfH5hjQuZJby/z5PpGsrL6beHk50i4b5PSbBjRBCCNHItAw20iLQQEaejeJSOyaDliCzrtLp31qtwqh+gdzc3Z8vt6azensGhxOKeHLBKW7p4c+Dw0MJ8mtYW+dIcCOEEEI0QhqNQoh/1YMSL6OWB4eHcXu/Zixdn8qm2Bw2xeaw/Uguf7gpiHuGBONl1F79QvWAJBQLIYQQwinYT8+z41vy3rR2dGnlhbVMZcWWdKbOO8H3uzOxN4CkYwluhBBCCFFBdAsTbz3chjn3R9G8mZ7cwjI+WHOBx/4Rx54T+RVmY9UnMiwlhBBCiEopikL/TmZuaO/L97szWbYxjXPppby8NIEebbx5eFQ4rcNqd2HaayE9N0IIIYS4Ig+twpgBQXzyTEfGDQrCQ6sQG1/I9PdPMv+rJLLybe6uogsJboQQQghRJd6eWqbeHs6ime0Z3M0PVYUN+3OYMvcEn29IpaS0fqx0LMGNEEIIIaolNMDA7AmRzH+sLR1bmii1OVi2KY2p806wfm8Wdod783EkuGkCFEVhzZo1ACQmJqIoCrGxsW6py5IlS2QXbyGEaCQ6tvRi3qNt+b8/RhLqrye7oIx3vz7PEx+cxFrmuPoFaokkFNcSh0Ot0uJJNeXBBx8kNzfXGcRcKiUlxblvlBBCCFGTFEVhUFc/+nX05btdWfxnUxrtmpvQe7iv/0SCm1qQlG5xLntttanodQoRQUYGdP7fstd1KTQ0tNbvYbVa0esb1gqWQgghao7eQ8PYQUHE9PLH3ZPEZViqhl3csOx0cjFmkwctggyYTR6cTi5m7Y5MktItdV6nS4elLjpx4gQDBgzAaDTSpUsXtm7d6nL+yJEjjBw5Em9vb0JCQrj//vvJzMx0nr/55puZPn06M2bMIDAwkOHDhwMwf/58unbtipeXFxERETz++OMUFhbW+jMKIYSoH3y9PDB7ubfvRIKbGuRwqOw8mkdesY3IYCMmoxatRsFk1BIZbCSv2MauY3k43JxoBfDss8/y9NNPc+DAAfr378/o0aPJysoCIDc3l1tuuYWePXuyb98+1q1bR1paGvfee6/LNZYuXYper2fHjh189NFHAGg0Gv7xj39w9OhRli5dyqZNm3juuefq/PmEEEI0XTIsVYMy8mycy7AQbNZX2CpeURSCzHqS0i1k5Nmqtd9HbZg+fTrjxo0DYOHChaxbt45PPvmE5557jg8++ICePXvy97//3Vn+008/JSIigpMnTxIdHQ1Au3bteOutt1yuO2PGDOd/R0VF8be//Y1HH32UDz/8sPYfSgghhFvVdb7p5bi952bBggVERUVhNBrp168fe/bsuWzZo0ePMm7cOKKiolAUhXfffbfuKloFxaV2rDYVg77yZjXqNdjKVIrrwToA/fv3d/63h4cHffr04fjx4wAcPHiQzZs34+3t7Xx16NABgPj4eOf7evfuXeG6P//8M7feeivNmzfHx8eH+++/n6ysLIqLi2v5iYQQQrhTUrqFlVvT+WxDCss2pvHZhhRWbk13SzqGW4ObFStWMHPmTF5++WV+++03unfvzvDhw0lPT6+0fHFxMa1bt+aNN96okyTZ6jIZtOh1CqXWyqe/WawOdB4KJkP93lW1sLCQ0aNHExsb6/I6deoUgwcPdpbz8vJyeV9iYiJ33HEH3bp1Y9WqVezfv58FCxYA5QnHQgghGqf6lm/q1uBm/vz5PPzww0yePJlOnTrx0UcfYTKZ+PTTTystf8MNN/D2229z3333YTAY6ri2Vxdk1hERZCQ9z1phQzFVVcnIs9Iy2EiQWeemGv7Pr7/+6vzvsrIy9u/fT8eOHQHo1asXR48eJSoqirZt27q8fh/QXGr//v04HA7mzZvHjTfeSHR0NMnJybX+LEIIIdynPuabui24sVqt7N+/n5iYmP9VRqMhJiaGXbt2uata10WjURjQ2YzZpONsuoUiix27Q6XIYudsugWzl47+ncy1Nv6Yl5dXobfl3LlzlZZdsGABq1ev5sSJE0ybNo2cnBweeughAKZNm0Z2djYTJkxg7969xMfHs379eiZPnozdfvkhtbZt22Kz2Xj//fc5c+YMn3/+uTPRWAghRONUnXzTuuK2hOLMzEzsdjshISEux0NCQjhx4kSN3ae0tJTS0lLnz/n5+TV27cq0DDYyZmCgc52brHwVnYdCu+Ym+neq3XVutmzZQs+ePV2OTZkypdKyb7zxBm+88QaxsbG0bduWb775hsDAQADCw8PZsWMHs2bNYtiwYZSWlhIZGcmIESPQaC4fD3fv3p358+fz5ptvMnv2bAYPHszrr7/OpEmTau4hhRBC1CtVyTfNyq/bfFNF/f34SR1JTk6mefPm7Ny50yW59bnnnmPr1q3s3r37iu+PiopixowZLrNzKvPKK6/w6quvVjiel5eHr6+vyzGLxUJCQgKtWrXCaLy+IKS+ZIyL2leTnxshhGho0nKsfLYhBbPJA5OxYk5pkcVOfnEZk24Lu66Zwvn5+ZjN5kq/v3/PbcNSgYGBaLVa0tLSXI6npaXVaLLw7NmzycvLc74uN0xT0zQahRB/Pa1CPQnx10tgI4QQolGqj/mmbgtu9Ho9vXv3ZuPGjc5jDoeDjRs3uvTkXC+DwYCvr6/LSwghhBA1w935ppVx6yJ+M2fO5IEHHqBPnz707duXd999l6KiIiZPngzApEmTaN68Oa+//jpQnoR87Ngx539fuHCB2NhYvL29adu2rdueQwghhGjK3JlvWhm3Bjfjx48nIyODOXPmkJqaSo8ePVi3bp0zyTgpKcklgTU5OdklYXbu3LnMnTuXIUOGsGXLlrquvhBCCCH+q2WwkRaBhnqRb+q2hGJ3uVJCkiSGimshnxshhKh9DSKhuD5rYvGeuE7yeRFCiPpFgptL6HTlmdyyD5Kojoufl4ufHyGEEO4lu4JfQqvV4ufn59zbymQyVVhtUYiLVFWluLiY9PR0/Pz80Grr955hQgjRVEhw8zsX19i53OadQvyen59fvdzIVQghmioJbn5HURTCwsIIDg7GZqu7fTBEw6TT6aTHRggh6hkJbi5Dq9XKl5YQQgjRAElCsRBCCCEaFQluhBBCCNGoSHAjhBBCiEalyeXcXFxwLT8/3801EUIIIURVXfzersrCqU0uuCkoKAAgIiLCzTURQgghRHUVFBRgNpuvWKbJ7S3lcDhITk7Gx8dHFui7Bvn5+URERHDu3Lmr7u0hap60v3tJ+7uXtL97ubv9VVWloKCA8PBwl021K9Pkem40Gg0tWrRwdzUaPF9fX/nHxY2k/d1L2t+9pP3dy53tf7Uem4skoVgIIYQQjYoEN0IIIYRoVCS4EdViMBh4+eWXMRgM7q5KkyTt717S/u4l7e9eDan9m1xCsRBCCCEaN+m5EUIIIUSjIsGNEEIIIRoVCW6EEEII0ahIcCOEEEKIRkWCmyZo27ZtjB49mvDwcBRFYc2aNS7n09LSePDBBwkPD8dkMjFixAhOnTrlUiY1NZX777+f0NBQvLy86NWrF6tWrXIpk52dzcSJE/H19cXPz48pU6ZQWFhY249X79VE+8fHx/OHP/yBoKAgfH19uffee0lLS3MpI+1fuddff50bbrgBHx8fgoODueuuu4iLi3MpY7FYmDZtGs2aNcPb25tx48ZVaN+kpCRGjRqFyWQiODiYZ599lrKyMpcyW7ZsoVevXhgMBtq2bcuSJUtq+/HqvZpq/yeeeILevXtjMBjo0aNHpfc6dOgQgwYNwmg0EhERwVtvvVVbj9Vg1ET7Hzx4kAkTJhAREYGnpycdO3bkvffeq3Avd37+JbhpgoqKiujevTsLFiyocE5VVe666y7OnDnD2rVrOXDgAJGRkcTExFBUVOQsN2nSJOLi4vjmm284fPgwY8eO5d577+XAgQPOMhMnTuTo0aNs2LCB7777jm3btvHnP/+5Tp6xPrve9i8qKmLYsGEoisKmTZvYsWMHVquV0aNH43A4nNeS9q/c1q1bmTZtGr/++isbNmzAZrMxbNgwl8/3U089xbfffsuXX37J1q1bSU5OZuzYsc7zdrudUaNGYbVa2blzJ0uXLmXJkiXMmTPHWSYhIYFRo0YxdOhQYmNjmTFjBlOnTmX9+vV1+rz1TU20/0UPPfQQ48ePr/Q++fn5DBs2jMjISPbv38/bb7/NK6+8wj//+c9ae7aGoCbaf//+/QQHB/Pvf/+bo0eP8sILLzB79mw++OADZxm3f/5V0aQB6urVq50/x8XFqYB65MgR5zG73a4GBQWpixYtch7z8vJSP/vsM5drBQQEOMscO3ZMBdS9e/c6z//444+qoijqhQsXaulpGp5raf/169erGo1GzcvLc5bJzc1VFUVRN2zYoKqqtH91pKenq4C6detWVVXL21Kn06lffvmls8zx48dVQN21a5eqqqr6ww8/qBqNRk1NTXWWWbhwoerr66uWlpaqqqqqzz33nNq5c2eXe40fP14dPnx4bT9Sg3It7X+pl19+We3evXuF4x9++KHq7+/v/H2oqqrOmjVLbd++fc0/RAN2ve1/0eOPP64OHTrU+bO7P//ScyNclJaWAmA0Gp3HNBoNBoOB7du3O48NGDCAFStWkJ2djcPhYPny5VgsFm6++WYAdu3ahZ+fH3369HG+JyYmBo1Gw+7du+vmYRqgqrR/aWkpiqK4LKRlNBrRaDTOMtL+VZeXlwdAQEAAUP5Xqc1mIyYmxlmmQ4cOtGzZkl27dgHl7du1a1dCQkKcZYYPH05+fj5Hjx51lrn0GhfLXLyGKHct7V8Vu3btYvDgwej1euex4cOHExcXR05OTg3VvuGrqfbPy8tzXgPc//mX4Ea4uPghnj17Njk5OVitVt58803Onz9PSkqKs9zKlSux2Ww0a9YMg8HAI488wurVq2nbti1QnpMTHBzscm0PDw8CAgJITU2t02dqSKrS/jfeeCNeXl7MmjWL4uJiioqKeOaZZ7Db7c4y0v5V43A4mDFjBgMHDqRLly5Aedvp9Xr8/PxcyoaEhDjbLjU11SWwuXj+4rkrlcnPz6ekpKQ2HqfBudb2r4qq/I6auppq/507d7JixQqXYW93f/4luBEudDodX3/9NSdPniQgIACTycTmzZsZOXKkyxbzL730Erm5ufz888/s27ePmTNncu+993L48GE31r7hq0r7BwUF8eWXX/Ltt9/i7e2N2WwmNzeXXr16ufyOxNVNmzaNI0eOsHz5cndXpUmS9nevmmj/I0eOMGbMGF5++WWGDRtWg7W7Ph7uroCof3r37k1sbCx5eXlYrVaCgoLo16+fc4gjPj6eDz74gCNHjtC5c2cAunfvzi+//MKCBQv46KOPCA0NJT093eW6ZWVlZGdnExoaWufP1JBcrf0Bhg0bRnx8PJmZmXh4eODn50doaCitW7cGkPavgunTpzsTrVu0aOE8HhoaitVqJTc31+Wv17S0NGfbhYaGsmfPHpfrXZxNcmmZ38/wSUtLw9fXF09Pz9p4pAbletq/Ki7X/hfPNXU10f7Hjh3j1ltv5c9//jMvvviiyzl3f/7lzzxxWWazmaCgIE6dOsW+ffsYM2YMAMXFxQAVegm0Wq1ztk7//v3Jzc1l//79zvObNm3C4XDQr1+/OnqChu1y7X+pwMBA/Pz82LRpE+np6dx5552AtP+VqKrK9OnTWb16NZs2baJVq1Yu53v37o1Op2Pjxo3OY3FxcSQlJdG/f3+gvH0PHz7sEkBu2LABX19fOnXq5Cxz6TUulrl4jaaqJtq/Kvr378+2bduw2WzOYxs2bKB9+/b4+/tf/4M0UDXV/kePHmXo0KE88MADvPbaaxXu4/bPf52kLYt6paCgQD1w4IB64MABFVDnz5+vHjhwQD179qyqqqq6cuVKdfPmzWp8fLy6Zs0aNTIyUh07dqzz/VarVW3btq06aNAgdffu3erp06fVuXPnqoqiqN9//72z3IgRI9SePXuqu3fvVrdv3662a9dOnTBhQp0/b31zve2vqqr66aefqrt27VJPnz6tfv7552pAQIA6c+ZMlzLS/pV77LHHVLPZrG7ZskVNSUlxvoqLi51lHn30UbVly5bqpk2b1H379qn9+/dX+/fv7zxfVlamdunSRR02bJgaGxurrlu3Tg0KClJnz57tLHPmzBnVZDKpzz77rHr8+HF1wYIFqlarVdetW1enz1vf1ET7q6qqnjp1Sj1w4ID6yCOPqNHR0c7/py7OjsrNzVVDQkLU+++/Xz1y5Ii6fPly1WQyqR9//HGdPm99UxPtf/jwYTUoKEj905/+5HKN9PR0Zxl3f/4luGmCNm/erAIVXg888ICqqqr63nvvqS1atFB1Op3asmVL9cUXX3SZTqmqqnry5El17NixanBwsGoymdRu3bpVmBqelZWlTpgwQfX29lZ9fX3VyZMnqwUFBXX1mPVWTbT/rFmz1JCQEFWn06nt2rVT582bpzocDpcy0v6Vq6ztAXXx4sXOMiUlJerjjz+u+vv7qyaTSf3DH/6gpqSkuFwnMTFRHTlypOrp6akGBgaqTz/9tGqz2VzKbN68We3Ro4eq1+vV1q1bu9yjqaqp9h8yZEil10lISHCWOXjwoHrTTTepBoNBbd68ufrGG2/U0VPWXzXR/i+//HKl14iMjHS5lzs//4qqqmrt9QsJIYQQQtQtybkRQgghRKMiwY0QQgghGhUJboQQQgjRqEhwI4QQQohGRYIbIYQQQjQqEtwIIYQQolGR4EYIIYQQjYoEN0IIIYRoVCS4EULUS6qqEhMTw/Dhwyuc+/DDD/Hz8+P8+fNuqJkQor6T4EYIUS8pisLixYvZvXs3H3/8sfN4QkICzz33HO+//77LbsY14dJNFoUQDZcEN0KIeisiIoL33nuPZ555hoSEBFRVZcqUKQwbNoyePXsycuRIvL29CQkJ4f777yczM9P53nXr1nHTTTfh5+dHs2bNuOOOO4iPj3eeT0xMRFEUVqxYwZAhQzAajXzxxRfueEwhRA2TvaWEEPXeXXfdRV5eHmPHjuWvf/0rR48epXPnzkydOpVJkyZRUlLCrFmzKCsrY9OmTQCsWrUKRVHo1q0bhYWFzJkzh8TERGJjY9FoNCQmJtKqVSuioqKYN28ePXv2xGg0EhYW5uanFUJcLwluhBD1Xnp6Op07dyY7O5tVq1Zx5MgRfvnlF9avX+8sc/78eSIiIoiLiyM6OrrCNTIzMwkKCuLw4cN06dLFGdy8++67PPnkk3X5OEKIWibDUkKIei84OJhHHnmEjh07ctddd3Hw4EE2b96Mt7e389WhQwcA59DTqVOnmDBhAq1bt8bX15eoqCgAkpKSXK7dp0+fOn0WIUTt83B3BYQQoio8PDzw8Cj/J6uwsJDRo0fz5ptvVih3cVhp9OjRREZGsmjRIsLDw3E4HHTp0gWr1epS3svLq/YrL4SoUxLcCCEanF69erFq1SqioqKcAc+lsrKyiIuLY9GiRQwaNAiA7du313U1hRBuIsNSQogGZ9q0aWRnZzNhwgT27t1LfHw869evZ/Lkydjtdvz9/WnWrBn//Oc/OX36NJs2bWLmzJnurrYQoo5IcCOEaHDCw8PZsWMHdrudYcOG0bVrV2bMmIGfnx8ajQaNRsPy5cvZv38/Xbp04amnnuLtt992d7WFEHVEZksJIYQQolGRnhshhBBCNCoS3AghhBCiUZHgRgghhBCNigQ3QgghhGhUJLgRQgghRKMiwY0QQgghGhUJboQQQgjRqEhwI4QQQohGRYIbIYQQQjQqEtwIIYQQolGR4EYIIYQQjYoEN0IIIYRoVP4/+bSXD5oFg0IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "datafile = \"gss_pacs_resampled.hdf\"\n",
    "\n",
    "for key in [\"gss0\", \"gss1\", \"gss2\"]:\n",
    "    df = pd.read_hdf(datafile, key)\n",
    "\n",
    "    plt.figure()\n",
    "    plot_by_polviews(df, varname)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You should review your interpretation in the previous section to see how it holds up to resampling.  If you see an effect that is consistent in all three figures, it is less likely to be an artifact of random sampling.\n",
    "\n",
    "If it varies from one resampling to the next, you should probably not take it too seriously."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "remove-cell"
    ]
   },
   "source": [
    "Political Alignment Case Study\n",
    "\n",
    "Copyright 2020 Allen B. Downey\n",
    "\n",
    "License: [Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)](https://creativecommons.org/licenses/by-nc-sa/4.0/)"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Tags",
  "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": "3.10.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}