myanalysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# QLSC612 Assignment, BrainHack Summer School, May 2020"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "This notebook is part of the BrainHack QLSC6112 course and was designed to demonstrate how researchers can produce false positives or inflated prediction rates via p-hacking. Here, we perform hypothesis-driven statistical analyses to confirm a relationship we are so sure exists. Thus, we currate the data until we find this specific significant association between our variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Import necessary libraries/packages\n",
    "## stats for statistical test, matplot lib & seaborn library to make nice looking plots for visualization\n",
    "import statsmodels.formula.api as smf\n",
    "from pandas import plotting as pdplt\n",
    "from scipy.stats import spearmanr\n",
    "from scipy import stats\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# Load data and read the CSV file. Be sure to change path to where you cloned the repository.\n",
    "csvfile = ('data/brainsize.csv')\n",
    "data = pd.read_csv(csvfile, sep=';', index_col=0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will first look at our data set which is composed of (n-40) individuals and includes the following variables: gender, 3 intelligence quotient measures (i.e. Full scale IQ (FSIQ), Performance IQ (PIQ), and Verbal IQ (VIQ), as well as measures of height, weight and brain size (MRI_Count).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Data type :  <class 'pandas.core.frame.DataFrame'>\nStored values: <class 'numpy.ndarray'>\ndata.shape:  (40, 7)\ndata.columns:  Index(['Gender', 'FSIQ', 'VIQ', 'PIQ', 'Weight', 'Height', 'MRI_Count'], dtype='object')\n"
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "   Gender  FSIQ  VIQ  PIQ Weight Height  MRI_Count\n1  Female   133  132  124    118   64.5     816932\n2    Male   140  150  124      .   72.5    1001121\n3    Male   139  123  150    143   73.3    1038437\n4    Male   133  129  128    172   68.8     965353\n5  Female   137  132  134    147   65.0     951545",
      "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></th>\n      <th>Gender</th>\n      <th>FSIQ</th>\n      <th>VIQ</th>\n      <th>PIQ</th>\n      <th>Weight</th>\n      <th>Height</th>\n      <th>MRI_Count</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>1</td>\n      <td>Female</td>\n      <td>133</td>\n      <td>132</td>\n      <td>124</td>\n      <td>118</td>\n      <td>64.5</td>\n      <td>816932</td>\n    </tr>\n    <tr>\n      <td>2</td>\n      <td>Male</td>\n      <td>140</td>\n      <td>150</td>\n      <td>124</td>\n      <td>.</td>\n      <td>72.5</td>\n      <td>1001121</td>\n    </tr>\n    <tr>\n      <td>3</td>\n      <td>Male</td>\n      <td>139</td>\n      <td>123</td>\n      <td>150</td>\n      <td>143</td>\n      <td>73.3</td>\n      <td>1038437</td>\n    </tr>\n    <tr>\n      <td>4</td>\n      <td>Male</td>\n      <td>133</td>\n      <td>129</td>\n      <td>128</td>\n      <td>172</td>\n      <td>68.8</td>\n      <td>965353</td>\n    </tr>\n    <tr>\n      <td>5</td>\n      <td>Female</td>\n      <td>137</td>\n      <td>132</td>\n      <td>134</td>\n      <td>147</td>\n      <td>65.0</td>\n      <td>951545</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "source": [
    "#Check the type of data, how it is stored, check the shape and columns and check the first 5 rows\n",
    "print('Data type : ', type(data))\n",
    "print(\"Stored values:\", type(data.values))\n",
    "data.values[:5]\n",
    "print('data.shape: ', data.shape)\n",
    "print('data.columns: ',data.columns)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To prepare our data for analyses, we will specify missing values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "   Unnamed: 0  Gender  FSIQ  VIQ  PIQ  Weight  Height  MRI_Count\n0           1  Female   133  132  124   118.0    64.5     816932\n1           2    Male   140  150  124     NaN    72.5    1001121\n2           3    Male   139  123  150   143.0    73.3    1038437",
      "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></th>\n      <th>Unnamed: 0</th>\n      <th>Gender</th>\n      <th>FSIQ</th>\n      <th>VIQ</th>\n      <th>PIQ</th>\n      <th>Weight</th>\n      <th>Height</th>\n      <th>MRI_Count</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>0</td>\n      <td>1</td>\n      <td>Female</td>\n      <td>133</td>\n      <td>132</td>\n      <td>124</td>\n      <td>118.0</td>\n      <td>64.5</td>\n      <td>816932</td>\n    </tr>\n    <tr>\n      <td>1</td>\n      <td>2</td>\n      <td>Male</td>\n      <td>140</td>\n      <td>150</td>\n      <td>124</td>\n      <td>NaN</td>\n      <td>72.5</td>\n      <td>1001121</td>\n    </tr>\n    <tr>\n      <td>2</td>\n      <td>3</td>\n      <td>Male</td>\n      <td>139</td>\n      <td>123</td>\n      <td>150</td>\n      <td>143.0</td>\n      <td>73.3</td>\n      <td>1038437</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "source": [
    "#Lets specify missing values for weight and height \n",
    "data = pd.read_csv(csvfile, sep=';', na_values=\".\")\n",
    "\n",
    "# #Change the gender column from a string (Female or Male) to an integer (1 or 2)\n",
    "# gender = {'Male': 1,'Female': 2} \n",
    "# data.Gender = [gender[item] for item in data.Gender] \n",
    "\n",
    "# Lets check an example in the second row to make sure we now read NaN for missing values\n",
    "data.head(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we will generate our new variables (partY and partY2), add them to the data frame, plot all variables and check the main statistics including the mean and standard deviation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "       Unnamed: 0        FSIQ         VIQ        PIQ      Weight     Height  \\\ncount   40.000000   40.000000   40.000000   40.00000   38.000000  39.000000   \nmean    20.500000  113.450000  112.350000  111.02500  151.052632  68.525641   \nstd     11.690452   24.082071   23.616107   22.47105   23.478509   3.994649   \nmin      1.000000   77.000000   71.000000   72.00000  106.000000  62.000000   \n25%     10.750000   89.750000   90.000000   88.25000  135.250000  66.000000   \n50%     20.500000  116.500000  113.000000  115.00000  146.500000  68.000000   \n75%     30.250000  135.500000  129.750000  128.00000  172.000000  70.500000   \nmax     40.000000  144.000000  150.000000  150.00000  192.000000  77.000000   \n\n          MRI_Count      partY     partY2  \ncount  4.000000e+01  40.000000  40.000000  \nmean   9.087550e+05   0.442166   0.382101  \nstd    7.228205e+04   0.295873   0.266364  \nmin    7.906190e+05   0.059537   0.002424  \n25%    8.559185e+05   0.184584   0.203219  \n50%    9.053990e+05   0.325623   0.356943  \n75%    9.500780e+05   0.672461   0.498900  \nmax    1.079549e+06   0.974966   0.997871  ",
      "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></th>\n      <th>Unnamed: 0</th>\n      <th>FSIQ</th>\n      <th>VIQ</th>\n      <th>PIQ</th>\n      <th>Weight</th>\n      <th>Height</th>\n      <th>MRI_Count</th>\n      <th>partY</th>\n      <th>partY2</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <td>count</td>\n      <td>40.000000</td>\n      <td>40.000000</td>\n      <td>40.000000</td>\n      <td>40.00000</td>\n      <td>38.000000</td>\n      <td>39.000000</td>\n      <td>4.000000e+01</td>\n      <td>40.000000</td>\n      <td>40.000000</td>\n    </tr>\n    <tr>\n      <td>mean</td>\n      <td>20.500000</td>\n      <td>113.450000</td>\n      <td>112.350000</td>\n      <td>111.02500</td>\n      <td>151.052632</td>\n      <td>68.525641</td>\n      <td>9.087550e+05</td>\n      <td>0.442166</td>\n      <td>0.382101</td>\n    </tr>\n    <tr>\n      <td>std</td>\n      <td>11.690452</td>\n      <td>24.082071</td>\n      <td>23.616107</td>\n      <td>22.47105</td>\n      <td>23.478509</td>\n      <td>3.994649</td>\n      <td>7.228205e+04</td>\n      <td>0.295873</td>\n      <td>0.266364</td>\n    </tr>\n    <tr>\n      <td>min</td>\n      <td>1.000000</td>\n      <td>77.000000</td>\n      <td>71.000000</td>\n      <td>72.00000</td>\n      <td>106.000000</td>\n      <td>62.000000</td>\n      <td>7.906190e+05</td>\n      <td>0.059537</td>\n      <td>0.002424</td>\n    </tr>\n    <tr>\n      <td>25%</td>\n      <td>10.750000</td>\n      <td>89.750000</td>\n      <td>90.000000</td>\n      <td>88.25000</td>\n      <td>135.250000</td>\n      <td>66.000000</td>\n      <td>8.559185e+05</td>\n      <td>0.184584</td>\n      <td>0.203219</td>\n    </tr>\n    <tr>\n      <td>50%</td>\n      <td>20.500000</td>\n      <td>116.500000</td>\n      <td>113.000000</td>\n      <td>115.00000</td>\n      <td>146.500000</td>\n      <td>68.000000</td>\n      <td>9.053990e+05</td>\n      <td>0.325623</td>\n      <td>0.356943</td>\n    </tr>\n    <tr>\n      <td>75%</td>\n      <td>30.250000</td>\n      <td>135.500000</td>\n      <td>129.750000</td>\n      <td>128.00000</td>\n      <td>172.000000</td>\n      <td>70.500000</td>\n      <td>9.500780e+05</td>\n      <td>0.672461</td>\n      <td>0.498900</td>\n    </tr>\n    <tr>\n      <td>max</td>\n      <td>40.000000</td>\n      <td>144.000000</td>\n      <td>150.000000</td>\n      <td>150.00000</td>\n      <td>192.000000</td>\n      <td>77.000000</td>\n      <td>1.079549e+06</td>\n      <td>0.974966</td>\n      <td>0.997871</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 4
    },
    {
     "output_type": "display_data",
     "data": {
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8M52jr9t+1rY1BemfzVPWLfa3R3j28gxgu3GjfjfHemMowl5ENYY81XP1xALsaA6RK+kc7roR42mr83O0J0pJtzjSfePZPLGtAd20XWElw6Iz6ueBLTfciQBd9X68bvsZCXqcjCTUmjGyngXjdLgrSsDjrCqjf/ToVhQh+PIax1zca4JMIcT/CRwD/qmUcrCybQvwe8ArwJeklNtWONYL+IDvAE8CDUBaSlkSQnwV+B0p5QUhxCtSyhNrkaevr09udHbZUvfYUgz/zofuenbZQlyazPCTK7M0hjy8b2cTigJh79rSIe+2nCXdJKNqvDaQ4Mp0jqf2NnNf98pKYCXUklPVDApls/qia4ZFStVoCnlqTigrQTMsvn1mnERB46l9Lcsm09uVE+zgf1k3iQVvTErPX5nh0mSWvu4oD267MbnM5coEPc67Zm2uJGNJtxMcGkMekgWN2VyZn16dJex18akjHevKwLqbcs7mSmt+vu8EMkUdJET8Lq5MZasW38cPt+NQxJreoVr3fx65ko5uSupXyAycyhT57rlJfC4HnzzSUTMBZS0QQpyWUvattt9GWDKfB/ZLKaspG1LKQSHEZ4A54HMrHVg5pjT/wksppxf82cC2aAB2CyFeBl4Fflsu0aRCiF8BfgWgq6u26f33GXvbIuxti6y+4wbA63Lgjfj4xH0dfOIOn9vvduJ333gl3E6F5nVm0swft5JL504h6HEumxye2N3ME7ubl+27cHV8L+F1OaoTdyzoIRb0sLv1zltSt4um0Prv8e0gsqDmZ3dr+JbGpNb9n0ctV+hCtEZ8/KNHt677mreKjaj4txYqmHlIKYvAhJTye+s9oRDiANAgpbxc2bQdeASIAh+pca0/lFL2SSn7GhtXrSXaxCY2sYlN3CI2QsmMCyGeWLpRCPE4MLHekwkh6oHfB/7h/DYpZbJivfw1sO82ZN3EJjaxiU3cBjbCXfbPgO8KIV4BTmMncBwFHgI+up4TCSGcwF8AvznvOhNCBICSlNKsnPPCHZR9E5vYxCY2sQ7ccyUjpbwkhNiHHXvZi50h+xLw5VputIUQQriAvwUOAj+qHHcU+A+VOM1vA0XgvwkhCsAg8K9Xk+ndUHG/iU1sYhN/F7EhKcwVZfLfbuE4HTurbCH+TY1d77sVuTaxiU1sYhN3FvdcyQghclRrsBf/CZBSyndf+skmNrGJTWzilrAR7rKVyYtWwdJiTCmlIYT4XaAPOCOl/LXKfsu2rQeruc/eC+61gbk8z12e4f4t9RxcoQDx3Y5nL00zllT55JEO6vyrswG/1/HOdJZUQacj6mM0qbK96dbra+4GxpIqo0mVfW0RIn5X9fu9hmlJzo6mcDoUDnZEatYwaYbF2dEUQa9z3en4ZcPk7GiaiM+1KL24qJmcHUvRGPRUSTk3Atdncszly9zXFcXtUDg7lkYRcKizbl31XPcKG2HJ+AG94vpCCLETeBoYllJ+Z5XDk8AT2MWYCCHuAwJSyoeFEF8RQhzFrpVZtE1K+dZd+0HvUvynH77DeKrIC9dm+e+/dHwZDcRYUuWNwQS9DYFFhIx3A4WywfPvzOJ2CB7f1bwiJcVkuoiqGWxtDHJlOsufvDIE2LQev/XUrrsq41rQP5vj7GiaXS1h9nfcfh3RSKKAJe0q9OlMib+9YJd9TWWKtEZ8XJrMrPlc+QqNi8fp4IndTctaAKwXY0kVzbSqhaQl3eSvz05gWJLxlM3mO/99HrO5Ei9fi9MU9nBiW8NtTXiaYTEwl6cl7F3WbuDcWIqXK6zOXpeyjJUY4I3BBKdHUoBdSFyLSmglvNaf4NxYGrBrWtoqlDIvXpvlylQOIeDnAm4aKoWQ05kS2ZLOtsbgIk62V/vjTGVKPLy94ZbqrWohni/zxy8PkSyUGdiRZ39HHS9dmwMk09kS+9sj66LrvxfYiJjMD7HTja8LIbYBrwNfBT4shDgupfwXKx24tBgTeAB4rvL5OeB+wKqx7baUzGoV+e8WvNof5/RIij2tYWZyZVKqRkm3EAtqUXMlHc2weOHaHPFcmfGU3WeiFn/RncK5sTQXJzIoAjqifva1L5+gpzMlvnlqDCnhxPYGIl4Xc7kymmmxcwNXjQvx03fmyJcNJtJF9rSF0U2Lb50ZJ63qPL2/ld6GtdPu9M/m+f7bdh+Pp/a10BjyoGoGboeCp8Jw61TWrijeHkszOGdzZXVEfYvGOF82+J+nxijqFh871FadNFfCcLzAd87a1QRP7m5mf0cERQgcDoFh2T1sciUDzbQWNV97fSDBaMW62d4UomUFpumlsAk2dZrCXn54cYprM3ksSyIBj0vhiw/1LqrGX6hAV1Km89uFWL7PycEEJ4eS7GgO8lQNtuyFxy5sWDa/XRGi2txsLlfmL98aw5KS41vqeXCrzbQwmyvx5pDNZvVqf5x/cF/HquOQLemY5o131TAtvnN2gplsiSf3NLOrJYxuWIwkCkjgnekc91Woa6YzJRJ5jXemcny6r+OWFY1p2c0IY0H3bS9U5rERSiYqpbxe+fyLwNellL8qhHBjpzSvqGRqoA4YqHzOYGermTW2LcLSiv93n4F5azg/nsG0JBcnMzy+s4kLExkCHgdfOzXGruYQW5uCfOPN0QrlhF0VHAu67zqdRtkwOT+eRhGCJ3c3863TdkOAp/a1VJVbSTeZ14VFzaQl7KWvJ0qmqHNghb4q9xqtdV6uz9ira4ciGEkUea0/QVE3qQ+416VkFhIbFnWTa9M5DFNiWRb/5LGtzObKdMcC/Jc1nEs3La5MZbk0mWFHc4im8OIK/9GESkq1SRmvzuRWVTIlY7FsYLMYPNPXyUS6SNDjtBl6DZP7FvDEtUZ8DM4VCHqci6ral+LiRIazY2n2toXZ3RLmzyvNwe7rruPKVA6wiRy3NAbRDbms5cD+9ghelwOHIlak7DneW0/E5yLkdS5Tdj95x+4PNJIo1LSsH9gaIxpwEfa6FrEBPLqjkeawl1jQXXXflnSzyri98J6Gvfa1cyVj1fGGG4ushezdiYJWJdu8NJFlV0uYppCHtjofo8kCu1vC7G2L4HYonBtPM54sLpNjvfj+25MMxQu01Xl55uidYa3YCCWz8Il5HPhPAFJKTQhhrfNcaWDeVg5Xvps1ti0WQMo/BP4QbO6y+Dov+m7FvrYwL16f41hPPYe7ouyfzHBqOEkyr/FaPkHQ46wyK3fV+3l6fx0Rn+uWWu6uB16ng0MddQhFMBgvVJs7XZnK0tdTTyJfxuNSeGxXk01c2BNFEaLyN437ut4dSubpfa0kejWiFXp305KUDZOyYaIZa3+xTUsS8Djo67F96gc76vje2xPVFsMORVlT06t5DMcLzObKNIc97GkLL6NJ6Wnw0xDyUNJMdq+BIHNnc4hC2UAz5KKxn6eGOTeWxrSkzWq9IFZ2rLeerY0BAh7nsoXLPJtye52Pl6/HKekmL1+L01Hno1C2xy5V0NnbFub6bJ5PHrFX/p31/mVWthCCHatYt4qyvD/KPDTTomxYaIaFJSWGaTGRLtIU8uJz28qrVhzH6VCWWeGdlaZxmaJOX88Nhet12d1PC2WjJr/YUsTz5WXKNBZw0x3zM50tcaDink0VdaIBNx6ngttpv7fbm0N0xwKcGk7idTtuiytvvkHbTLaMrLA53y42QsmcF0L8Z+zq/m3AswBCiFuZSV4Hvgx8Ezu1+c+wOcyWbvs7jVPDSc6NpYnnyngcCkPxPPvaI3icDnoaAowli7RHfexsCTGTK1Eom/T11K/KcXSncKirjqlMielsiajPyWjcxONy0B71MZUp8s23xtEME7dLoc7nZntTkKawd01U+HcCz1+ZYShe4KFtDTflkSpoBvUBd1Upt9X5ON4bo6AZ64pr/ejSNFen7SZvJ7Y3cHIwwf72CAJBS8S7jGtMMyz+5vwk2aLOU/tal63MHYrgypTN+lxLDr/byX1ddZR0m1V4NQghFrH7zsO0JKpm2O7YbAnLkhxcYmXOT6j5ssH3357EtCQPbInxgwtTmJbksV1NtIQ9vNIfZ3drmKawl/u665jOlHhoWwONIQ9P7JYUNIPwHX4+JXZ88JEdjYS9LhyK7WYcTxe5MJ5hMl3k6f2tfORg27oWXgvjc/NjFKoQbq7VS7CzJcRkulhdBIKt1Ja62Uq6ydnRFGXDWqTw3E5lESnqPMZTKs9emiEWdPPEriacDuWmMj2xu5nz42l2t4ZrKhgpJbmyQWgd7vWNUDJfAn4N6AE+IKWcT0/ZA/znmx1YoxjzX2LHaF4G3pZSvlnZb9m2v8v4wYUpJlJFpjNF3E4Hs7kyL1yNs6slRGPYwxcf6iHkdaEoduD9XmMuV+at4SSjSZXTw0mawl6OdAc5P55hNFmgbNhsvWrGxKq33X5P7rk3pIW5ks75cTvAfmo4uaKSefHaHGdGUkT9bhqCblxOhcd3NfGFh3rQDGtdMa35zpOnhlM8d2WWWMDNQ9sb+Pzx7pr7j6VURiq9Qt4eT9MUaubFa3PkygaP7mhEAt31fq7O5Hi1P8Ej2xsXrZ6H4gWevWTTy+umXNQPZ62wLMk3T40xnSlxX3eUD+5tuen+12ZyTGdKVZnnV+nzv70p5GEiVeRPXhlkJKESC3jIlnRiATd/dWqMqUyJQ111PLazad2yroREvswfvTzIk7ub+fihNr5zdoLXBhLM5csk8mWyRZ3+WbvPymhSZSpT5KGtDWtuN2yYFt94a4y5XJnjvfU1J/2V4HIofKAypjerHj83lsapCBSXY1EH0IWQUvLy9TgpVaOo2e2sx5IqF8YzRANuPt3XsSIp6LamINtuktX4gwtTXJ/Js3UdmY8boWQapZS/s3SjlPI14LWbHbhCMebJGvutO235vYxsUSdT1BFCUNAM/G6HTYlf1GmJeKsKZqMwFC8wky2RVjUciqA96uPt8TSxgAcpJVG/mz2tYcbTRXTDuulDfqcRcDurrW1v5oKZb0B1fjyNz+0gX7bH+eHtjesOkD65u5nTIyni+TL5skG6qFcDybXQEvYS9rkolA27sVeiUM1+CrjtZnKd9X7SRZ2mkIepTIlY0MNYUqV/Lk/dgvjIrbpGS4ZZVRr2WCwmlh1PqVyfzbO3Yp101/vxuR2YluTBrTFawl7yZYPjvfU8f2UWt9PB1Zkcqm4wHFfp63YymlRpr/MxNX+deAF23pK4NWFaEilhJKFyfEs9iiKQEvq6o8TzZcaSKs1hL0LYSQwAlhWvuu5Ww8KurMMJlQcrDUuklJweSaGZFkd76tf1vGSKOmdHU3REfWxrCtFV76ej3o9mWBxaIVY5nipWM+tCXieKEFhS4nc60AyLyXTplpmnh+P2ezBS+X8t2Agl89dUKvKFEN+SUn5yA2R4zyGtanz33AQf3NtSNXeLmsmPLk3jdTk41FnHxUm757tpSX5mXxt72iPsaY3ccwVjWhJF2G6XN4eS/OSdWfIl3c4UawiytTFIV8zPubE012fzHOyo45GdjQTdTiwpcd6hrJa1QFEEn+7rRDetm778R3vq+bPXhnEIKtlPFn/x+ghFzeSJXU0IIdY8zs1hL0/vb6WtzsfJwQSxgLtmC9x5BDxOfunBnurYpAoabqeCZliVSVHw2WNd5F4aZC5XwrQsLEvylRcHmM6U2NEc5DN9naiayZ510sqblsShCPxuJ8e31DM4V6hpCX333CSaYTE0V+CLJ3qJBT0c7KhjYC5PQTN5cFsDI4kCf312ktaIl8d2NVHSTa7O5Kjz2SnGhzrq8LocHOutZyhe4P4tdza13udyVBZdDp69NMPetogdx2oN43Qo6KaFUxGomokQdoKCEKzYLnop5nJlsiUdhyIWdei8OpOrplw7FYVjN2mCtxTPXZ5hNKny9liGjx9WuDKZZU9riBPbGqudMjNFnR9fnsHjVPjA3mZCXjsmNhzPU9LdfPhgK931fp69PItTEexqufVszUd2NHJ+PMP+GhmiK2EjlMzCu7VlA67/nkTZsBicK3BpIkOubKAIgdepMBQvUB9ws689wptDdv/xiM/Nlx7ZuiGFWWXD4g9+2k/Y6+Rjh9p5tT+Obtid+hxCoJm2H/9wVxSfy0lZtyjqJhfGMzy0rQFlgxuVlp8AACAASURBVHL9VltdSmlbFJaU6FJSKBlYwJnRFOfHM3hdCh892F7tkrkW7G4NkVI1XMrN/eRgK8P5sYkG3Pzigz2LmlaFvU6cDkFLxMfrg0n2tkUYT6qUDYvRpFrtzpkp6pwcTNAY8nC4a+UiXSkl3z1nZxo9sDXG/VtiPLi1oZqiuxRel71Knm+MVtTslsYAr1yPs7UxyKv9CWayJWayJT7d18FUuojP5eC+rmi1/86r/XHeHEqytSnItqY7m7oe9rn42WNd/P5PrqObkmShzPv3bK/+3SEE3zozwXhKxbIkPTG7BfN4qrjovqZVjZNDSVrC3kUxqVeuz1XjSK0L4ma+BffWt85MTp/bQVrVyBR1fnp1llTBzhJcmBF3fjzNWKUoNlfSmcmWaa/zkizYcaHX+hPsf7SOT63RIrsZDnTUrSspBTY+u+zetuV8l+BW6m6EELidCilV48JEFrCzyRJ52zzf2xamPerDsCwa73ETpoXIFPVqpkxK1aov2x4puTqTI1+2+7WD7f89M5rCMGW1h/q9QqFS77LW67ZEvLidCoYp+aUHexlJFLg6k0PTLRQh0U1J/1xuXUrm3Giac6O226vO76pZPzSP/tkcmaLBgY4ILoeyrGmVEILOqJ/RpEpXvR+nQ+H9e5q5MpVbZBG8fH2O6zN5ANrrfCvGG0q6xVDFJfLOVPamcRwpYXtTAN2UVSXkqTR8m8mW6KoUQnbV+5nJlmgIuhmqWDj5srGoFuXKlP1sD8zm0QxrXb3k14rOej+Dc4VlBZp5zahO1oYlKy2HHcSWJEu8eG2OwbkClyeztEd91aLMrpiflJqxn5UFi5buWIBPHelAN62qsl+Id6azlCqtmefdmRcn7DjhE7saOTmYoCnkZTxlp497XQ4aFiSHdET9nBlJ43QIEnk75jWRLrG1MchU5sb4bxQ2QskcFEJksS0aX+UzrIG7bCmtDNCBHZO5AmhSyg9U9vtN4GPACPCFeXaB9zIagm7+4YlexlMqFyayCAEIuyJZAmlV5xcf6Ob1gSSHujaOXsKwLIYTBXoaAnRE/XTHAuRLBlOZIt97exJF2L3Lwe7Y+A9P9FZSeu/to5gvG3z79DhfemTLmjKA6gPuRbIe7KwjV9KREn54cZqCZrBvnfQlkUoqtBDctK5kMl3k+29PATeyo2rhE4fbyZUMwj57LD9/vHvRd7hxHbdTuWk7Zp/bwYGOCANz+ZqZZguRK+mcHkkjBLaF6nagKIJnjnaSLxnV33liewP72yMEPA6uzeSrBa3v33MjGaWvp543hxJsbw7dFQUD8JEDbeRKBiHv4mcu5HGypy3MSKLAiW0tdNb78Dgdy+RYNIYLnp3HdzVzpKueoNe5zL22EuPAULxQZXrQDItjvfUUdZMfX7YTNYRoZmtTkEReo73Ox8/sb8HtvFGwCzZjxC8/3ItDEVydznGyMn6Pbm9cdv83AhvBXXY7lX+LaGUq+LGU8ufmvwghGoHHpJQnhBD/O/Bx4K9u45rvCihC4HU52NYU4rPH7GBeIq9xcSJb3edob4yjvevPHLqTcAjBfV1RPnKgrfpyRvwuIn4XYZ8LpyIWrZ7vdZ/3hVivHl4q63wK+GeO3lqq9a6WMGHv8jFZioVyKjcRWlFEdUKv9R3gxLYGuur91Pncq6awr9TOeUU5EYucnY4a15//vqctTMTvwuUQi4LQhzrrVgxo3ynUGhewrcHVsuYAHtneSE8sQDTgXrY4qnXem2HheNW6tQLBZ/o6mUzbZQgLlctCzMtxsLNukQtvvfLcDQi5QhrcuxlCiBews8w6gFex+8Z8W0r5u0KIDwF7pZT/UQhxBPiclPI3lhxfrfgPBAJHdu3aeF6sheivuAqEsP3vYa+L2ckxenp6Nlq0VTE8PHzX5TQsyWhCBWw3ld/tQAhBfcCN3+1A1QwkdubYnZDTkhJVM3E5FDwVxWlYsuqq9DgVNFNWi9eaQrWL7ywJqmbgVMRNlauqmUhpW0zrHc+F13AogrJu4XU7qtlraVWnoBmUdQufWyHkcRH0OimUDVKqjsthH9ewhgLCedzpe142LIoVV5puWtWA/TyktGlbwA6kL3VnLYRmWqQKtgupmJymp6eHXElH1ewC0PnK/bSqYZgSl1OhMehBCFsO3bTjTI5VViT5skGhbLuBw17XTa3EpVj6fPUPDuGNtuByCFwOhfrA6rVNJd3CsCz8bgeZok6hbOJyCAJL3KpLUSgb5Ctyh7wu/OuQ+/Tp01JKuaq5ubF21O1jCtgBlLG7bT6PTTUzv7zPAMuim0sr/k+dOnVvpF0Dzo2l+YOfXOfkUJKQx8H+jjp2toT56m9/jnst562wTff19d0TOb92cpRzYymSeY1MUUNRBPdvaWBbU5D+WTvm8NiuphVXxeuR87vnJhicKyAE/NJDvVV3yav9caYrBIgpVef8eJp97ZEVa21+eHG6GnP4/P1dNdNIr0xl+eFF233yyI4GvvzJD6xrPJ+9NM2lySxSSnRL4nYoRP0uvvBQL2BnQL1wdZbxVJEtDQGe2NPMZLrID85PMZ0tUe938czRLnrWQZFzJ++5qhn80UtDqJrBS9fmKBsW3fV+fvXJ7YsobM6OphiYK3C0J0p3bGVZpZS8dD1OIl/m3//Kxzl16hSZos4LV2cJuJ08tsuuw/nmW6O8cG2O3liAh7Y3cLgryp+8PIQlJd0x/6rcY6pm8PyVWVyrkMDWwnfOjjMcV1GE4Isnethz4DCf/b+/SlPYy88e61yVh2wuV+Yv3hgBwO92kCsZDMUL7GoN8cWHem/qii7pJs9dmUERgsd3Na3LsyCEOLOW/d7TSkZKWcZWMAgh/gbYh00j017ZpSatzLsZHqdCdyxAtmTQEHSvaB7/fcfnjnfxzNFO/uSVQQbnCsQrVkXAc2O8PHfIpz9/HqciFtWzPLSg2K4p7GXnKqmhHpd9HociFgWGa13L/rz+e++pTBIOReB0CEzrxjaw42CfXsKkMH/NlrCdWrweBXOnoQhbbkUImsIeSrpFwOtcdi8Pd0Vvmh03DyEEj1ZiWP++si3ic/GxQ+2L9nvfriZmcmWktMfdUZFDM+Sa7oPf7eQjB9vW9iOXoEqI6hBVUtS2Oh9P7m5eE9Gl26HgUIQdL3Q7UTWTbU1BntzdvGqs0+ty8OEDtyb3WvGeVjJCiJCUMlf5+hDw/wJDwD8G/iO2S+2NDRLvluB2KvTEAhztrac75seBwOVU+OpGC/YuhEMRPNPXxVAiz8WJDEGPi/ftaKK3IYgl5W1xOC3EE7ub6az30xTykixovD6QYE9beE3EhwvxyPZGm7re716xP86WxiCfONyOYcmbFqWeHkmRK+ncvyW2aPV5YlsDTSEPUb8bn9vBWFJlS+PNlUZ3LMAn7+ugbJj3tBC2FrwuB5892slUpsTn7+/iylSWzqi/WhNiWZKTQ0ksKTnWu77CxpuhNeLjU0c6KJRNdjQHOTuWpjPqW5E1/E7iyd3NdMf8NIdt7rSo381HDrauOYU74nfxzNFOEnmNlrCXv704RVPYc1OKpHuJ95SSqUEr85IQ4qPY1swrUsqTlf1eEkK8AowC/89GybtWXJvJomoW2xoDfO2NUTulU7CmIORCvBeaqd0uciWdRF6jPuAmWdDoiPrQDMlcTmMqU+L5d2Z4ZEfjLVkBaVUjWzTorPfZ7Allg9lcmc6or0qY+F9e6KesWwzG8/zKI1sxLclYUqUh5Lmp7xtspbiWF381S2I4XuBHl6YpagbTmRKfuK+9+nuXXiPcFmYsWSTikzcNAq8n9Xo1TGdKKIJFyQxjSZWAx7mm+MI8EadmWOimXFRzcnkqW62/8TiV2+6FZFmSsZRKNOCuWg2jCZUXr84BEPQ670iW23zbioUp8wuvvZCQ0+1U1l0j1Bz20hz28u0z4wwnCgzM5TnWG6uZtZgsaBTKxrp67OTLBvFcmc56/7pZI95TSmYFWpl/U2O//wD8h3si1G3ijYE4v/O375Ar6XTW+1A1iUPhpn7mv68oGyZfOzlKvmwwFM/jEAqHuyIowq5+vzSZqXC4lfj5B3rWde5MUeePXhokXzY42hvlQHuUZy9PkyvZVC7zrpCgx0lZ16puiB9fnubKVI6Ax8Fn+joZTar2JNEYrMlckFY1UqpOT8y/pjTzsmFR0s1F1krJMDkzkmIqU2Q8VUQRgs8c7aSomUxminQsyEJ6bSDB6wMJEoUyz/R1cmgNLqb1wpKSgbk83fV+hhMq3397EiHsFbrf7SBR0HjlehyHIvjc8a4VkwqklAwnVKJ+F3V+N3/xxghjSZX2qI/HdjXREfUtcv/cibT3F6/NcW4sjcel8IUHe/C7nfjcDgSQVDWsJczIpiUZSRRoCHlWJPBUNYOpTInOqB+3U6mSwFpS8v49zTQEPVhS8s50lrOjaUq6xZce7l0zRxrY3THj+TL3b4lVnyObMqbIudE0LqfCtekcR5ewCyTyZb52chTDkjy8veGmSnouV7bbbkS8fO3kCIWyye7WEHvbIlXX71rwnlIyf9egmxY/uDDFlaksmikZTaq01fl4YGuMh7ZtbCryuxGaYbMDaIbJawMJFODF67PsbA4TC7jJlw2KmknJsNatZKYzRc6MpilqBu9M5+jryTGXLeNx2ZPkPD51pIPxVJHOyqo3XenTUigbfO3kKK8NxPG5nTyxq4ljvfX0NgSqk0CupPPVk6NohsWR7uiK9S4LkVY1/utLA3zuWHeVnblQtnuYGJZENyzSRVu+vzg5zGhCZVdLmM/f312V7/x4moG5PINzef7l07vveDvuREHje+cm2dkSornSy0Y3LP7q1Bh1frdN5CjtCe7MSIrDXdFlTNMAL1+3m+65nQpP7m7ihauzlA2Li5MZskWdjno/n+nr5DNHO7Esua6V+EqYyZZIFjTCPicl3cLvtuNWW5sCJIc1rkznOLYlVlUo84sKv9vBFx7qWWYxSyn5xptjZIo6XfV+Pnmkg0xRr/aJuTqd48dJuwbG51YYmM0zniriEPDPP7Bj2flmcyXUsrnIuu2fyfGvv3sJU0o+dCDPL1Se9R9cmGQqU0Qi2dcWrvYCWoh82cCwJGlVYzheWFHJzOZKfP2k3d/m2Jb6ajbexYlstTvoWrGpZDYQP7w4zVSmyDy7t1JJbe3rjt60HuLdgnvtngt5XTy5u5nLkxmcioJmmFVq9KFEAZ/LQckw6V3BCtRNu4q9uUZWV9jnorPex3SmhNflQEFQ0EwKmsF2cSNO4Xc72dEcwrIk/bN5DnXWUecv0F7n58eXZ9BNiVVpNz2VKXG0p54T2+0EAVtB2i2TsqW11QfrpuTNwSQCweePdxELeoj6XfQ2BIj4XGxvCvIz+1qRUvJ6f4KCZpIsaFUl8/COBr7/9iQRnwshRFUp3gwl3aySVa7FWphf7WeLOu/f00yuZFDUTa5M2pl0rWEvQ4kCYymVP399mEsTWX7+we5lFs38mGiGRTxfZmtTkJlMCYmdGp4t2n9fiaVhvXLH82WuTudIFMrUB9yLXHmKUIj63RimpKiZVSWTLdrpvkXdfvaWXsa0ZDUleP737GgKkejVKOn2eUYrrAK7WsK8MZjElJLzExnSqkZz+MZvWzjRP7KjoVoUO5cvVxmY5wk552WLBTz0NEiO9ESrHGkZVWcmV6K3IUBXvZ+mkIfBuTxD8UK11fdS5EtGVTHqhsUH9rQwmixgWjbD9noqX+65khFCfAz4LWB3ZdMp4P+SUr4ihIhIKdfe2Pw9jlzJYGtjiCtTeRzCrir/xH3tDMVVzowO8JmjnXe9MO29hn3tEbY1BXmlP85kukRLxEtH1Ee+bOJUIF82+dzx5R39pjJF/tf5aTJFDV+N+pnWiI/PHusinitXM3UQdrZTLYX/+mCCN4eSOBTBz9/fXSnMc+B1KSTy5SpfUr58Y1JvCtnZW3O5MsfXSP7odNgNuuw+JSYx7ArvZ452kS/rPLClAZ/bgZSS3oYAM7nyog6dYa+Lf/WR3XzrzASxgJvjFXqYiXSRsm7WpDn59hm75e/C1OebIeJzsactzJHuKC6Hwvsq9Pzd9QHGUyp9PfV858w4/TN5yoaJYVmoZdPm7FiA+VhaY8jDgfYIQgg0w6I14mM4UVg1AP+dsxNMZ0rU+V380ipyF8oGX3tjhDOjKZrD3mojunk8vKMBt1OhIeimeYEb64ndTZweSdFZ768Zg3M6FD50oJX+2Xy10ZiiiGomolFpmGZJyQNbY4wlVU4OJYn4XLgdi60YtXyj6+Z0tsSVqSy9DQHu3xLjwwfyzOXLVSsG7Bju2+NpPnqovZrAUTZMvvbmKCXdZEdziA8daKWnIcBsRTnlSwbUGNbehgAPbrV7JR3vjeFzO9jTFqakm/g9DrzriHneUyUjhPjHwBexlcx8Yn0f8B+FEL+H3R/m4L2UaSPxgb3NnB1Nc/+WegwLDnREmEgX+cpPB8iWdL57boID7feeRfndDq/LwT97YjtDcZVDnXU0hjyMJApcm8mzt0bW13SmxF++NcbFiQxRv3vFtND7lsQrtjQGqtdYivnVqmnJarvijqgfRREEKw2x9rVHOLaEgWG9i4amkMduslVhKgY7LXcpk68Qgl94sKc6BgvRVufnVx+/QQQ5llT5n5UW2LVqieaLCguVotDVYkdel6NmksqetjB72sLVRld25pSLx3c31Uw0CHtdiyhmFpJxrpYevlBudQ1y66bFYKKAxHbjPbSk98tSWeYRC3qqfV9WwtbG4IqZjU6HUrVsAT56sJ3WiI/WOi/RJUkRPQ0BHt7eQLaoc3Umx7XpPB1RH5/u66zpDm6JeGmJLJbNMGXVep4fnyPd0WqR60rZhEKI6oJkIbwux7p7/NxrS+ZXgYeklMkF234ihPgIMA78b/dYng1FQ9DD+/c0k1btXt5hr4tYu5v2qJdwyUmdz40l5YYxE7+bsa0ptCgDpzsWWDFZoqibZFS9omB8PL2/hT+/hWssxMPb7ZVuvd9ddTdYUlLW7Re6KeSt2SBuJlsikdfY0Vw7MWApFCGqBYOrYaUxUDXDJoSM+on4XYt6wKuasWz/Dx9s5fJklh3NoTvCgWdJu8ZoR3OIqN+1KhfaQowmVEqGyfam4KqyfOjA2uQeS6qomsne1jCWJWmr892UO+5uIuJ38WQNZTaPvp56DNPiUsX1WCvOUgtzuTIz2RI7mkM8vb+F0aRaXUR5XY6qtXkvsBHcZcka2xJCiBEp5VfutTy3irOjKQbnChzrrb+tAKRpSf7yrTFUzeRyXZbPHO3knzy2nYsTGbaukKG0VrxbUppVzeAn78zidig8tqvpjtU2rBUep4KqmxiWpK+nnu2r9IdfCQNzec6NptnZEmJfe2TZis7rcvDhg62MJlUO1aBDz6g6f/nWGKYlmc5G7miX0kLZ4KdXa4/x985NMpUpEfA4+OUTW9jWFOSRHQ2UdIu+GhN+a8RX00+/GuZyZV7pn6Mp5F1kGTgUwccOtdM/m2dv+9prN8aSKt86Y1tcj+5sXGZp3orck+ki3zozjpT2in5Hi500sp7MrrXitYE4M1m7rfStNgkD2/r52KF2BubstuqrzT2qZvDNU2NolTYPT+9vveVn/k7gXiuZrBDioJTy7YUbhRAHsSlg3vUoGyYlzeKFSh69qhnrzmRaCCklummvfsuV/xtDnjWvXt8LODua5spkFiEEbXW+u17cthSaYdFSmURuh6rvJ1dmyZcNxlNFdreGa9YL3MxVoltWtQ3xvMWzEKpm2NXmt+AePTeWrlL4Lx1jrfJc6aZEYltH67EmaqFsmEi5mDT0tYE4w3GV4bjKtqbgolhGZ71/xcWYaUnKhol/SaysbNwYo1rjdSvQDKv6DChCLHJd3UnM5kqcHJxfT8f5xOHVe7lolVhNLXTF/HTF/JR0szr3FDRjUUxmHqYlMSoJMWVjbZbPPGSFR22eD/BO4F4rmd8AvieE+FPgNHY/maPALwI/d7MD3w2YzpT41hk7393lEOimXPQi3QqcDoWPH25nKF5YVJD1dwmWlJwZTeNQBB8+sHIHyLuFnoYAT+5uJl82ONJ96+m7LREv/bN5GkOeW1IEDUEPHzrQylyuzOGuxZbOmdEUL16doz7g5mePda27ALA5bJM6OmoQdH5ofyuXp7JsaQzecvvlhZjNlfirU+NIKfnEAk6vlrCXwbkCAY9jGY3+SigbJl8/OUpK1XnfzsZFVDHbmoI8Xumged9t3LeFuFPPwmoIe10EPU7yZWNNc0QiX+YvT41hmjdfBbkcNiFoIq+teN6Q18VHDrYymS5xsHN9c8qPLs1wZSrLlsbAMuqdW8U9VTKVDLLj2LQvX8Bmur4E3C+lnF7t+KX9ZKSUhhDid7GTB85IKX+tst+ybXcC4ym1GkS7f0uMrY2Bmvn+60VH1L8mjqKluJXmZ/fyfPMQCA50RFAE1ZTje439HbevwJ/e30oiX14WoF0PdjSH2FHDdTE0ZzcISxY00qq2bvfNtqYQX3jQVn5LKfxjQQ8Pb1+9JmetmEgVq+/BfJMvgONbYmxpDBL0ONfMQpxWdVKVtOqheGEZH9nBu5BdeSeehdXgdTn4+Qfsfj5rmSPsbL/VrTWHIvjs0S7SqnbT825pDNbMHFwN843qhuKFNSV9rAUbEZOZBv7VLR6+qJ+MEOI+ICClfFgI8RUhxFHAXLpNSvnWnZC9UDYZT6n0NgTY3xFZlUZkEzb2t0eYSKu4HArtUS/fOWv72T+4t2WZi+TdDMeSvi+mJXnuygxpVePxXc23teA41luPqpu0hL3rPo9uWvz48gz5ssH719H/5VaxsyXE4FwB05LsWZLJthbZL01mODeWZm9bhIMdEfa2hZnJlTl6mxQxa0X/bI6TQ0m2NQZrZlDdKXhdjjWzGu9oDtE/m6+6zleClJLXBuJMVdi/b2VxejM8tC1WuTfh96a7TAhxgdotl+e7Yh642fFSyhJQWvDjHwCeq3x+DrgfsGpsuyUlo5sW58fThL0uumJ+zoym6Ij6cTsUrkxlKWoG/bN2AO5exxneS4j4XXz6SCfnJzI8d3mG8VQRIQSXJ7OLKo6vTufIlw0OdkRwOhReuDrLaFLlE4fbV22wtREYT6lcrmT9vDWc5On9a3cFSim5OJFlLlfC53Kwpz3CA1tipFWNmWyJ4YS6ZrLK4XiBq9M2T+yZ0VTNRmNXprIUdZODHXVrcpldnMigmxYHO+qqKfST6SJjSZU9bWE+eaSDiXSxWnC5Hjx3eZaxpMrAbIGDHZGaKcH5ssGliQztFZLKhbAsu3jRqYgV37v5dzfkdS2zHF+5Hiel6rwzlaskg0QXVdprhn1sxOdaFDAv6SYXJjLEAu5FVsL1mRyZos7BzrpbTmrxuhzVdgL/6Sb7zeXLfPPUmF1rY1n87LFuLkxkkIBpWfjdztsixjzQUceBGkkrt4N7vYwcxWbcnqC2slkv6oCByucMsBfbklm6bREWNi3r6lpeuDePb50Z562hJC0RL5871kVrxMtUpkSubPDK9Th/e3GKoMfJC9dm+eNfOHrX2sW+12Fakm+eGuP8WBqf24FpSRqCnkX1LGNJlf91wW4xXNJNGkMe/r8XB5ASZrJlfvODOzdKfMCu3r44kaGr/oZrsyHoIeBxoGrmuvuoX5nK8eylaU6Ppuiq93N+IlOl7pjNlmgKe7kwvrZcmKaQF49TYSRRYEfzcsU0FC9Ue9RohsX9q6zer8/kqu1/rUoWVtkw+faZcXRTMpJQ+eihNr5T+b5eJAsaYymVes2NqpkMJwoUNZNDnXXVbMpnL00zklBxKoJffnjLIvfbufF0lcDS7VRquh/fGExwajgFgL/PQUfUT1m3ODmYoLXOy3iqyGSmyJtDCUq6uUgxvzYQ5+yo3SHks8ec1Yy1F6/NcXnSbn3+Cw/0UB9wM5ku8jfnK62xNbPaVuBu4cJ4hksTWQzLoqPOz8XJDD95Z5aJlIq7UsjqdTkWFeSCrZjPjadxKoL9lULXe4V7rWSeBf4z0Ar8JfB1KeW52zhfGrtnDNzoHWPW2LYIS5uWgV2/cH48bb/oEmJBN985M8F0tkhD0MPBjjo+eV8Hqmby1+fGOT+eqapJRQg21YsNKe0XPOJzsbs1zHhK5YcXp3np2hyJgkZHnY/uWIC+nvqqkrkwnmEspdo1QZUKewW7qE43rNtLCbtD+OGFaSbSRc6MpHh6fysjCRXDtGir8zKbLZNWNXTTWtNKNlPUeXs8Tf9sjqlMkYDHwZbGAELYP3XeclhrEW7E7yLic5JSNX58eYamsIejPTGmMkUG5woEPQ5msyV0y+7euRrmJ6BsUefiRJqtjQH8bifDCZW5XNlmCa/uV6lIz5QYmMuzsyVUpYsZS6qMJlX2tUUYS6kUygb3dUc50l2Hz6UQ8DgZTag8e8lWaJppUed38z9eG2YuV6Il4qM14l3Gk7WQgWGlIXIs2qfSFbSo8dpAgi0NAXa1hCrULIKiZvJqf5zumB/Lsq2+smGTkio1zrOwzbRDEdX7pmoGf/DTfnTT4sMH2qqWqJSS8+O2ZXi4K7qu5Iu3x9K8OZTgxPYGdrdG8DgVQl4numnRHfPdkEnYchR1k7OjNv+bQ4jqPRlNqosU866WW7N2zoymOD+WXldc614H/n8P+D0hRDfwWeBPhRBe4OvAN6SU19Z5yteBLwPfxGZn/jPAqLFtVfz12Yn/n703D5Lrus48f/flvteSte+Ffd8KAMGdFEVRkklLokSJVIuW7Xbbvcx0R0872u2JaHsc0T12T/TYHnvaE7bb7U22LNmyJMsyZUlcABIkiIUAsdeGKtSemZX7/vK9O3+8zERlVdaShQKKVOuLQAQqM9/Lm287957zne/jfFHZ1mUz01XvIJ5RERiaSZenYjR5bLT5HAQTecyKwmcOd+BzWjnaY5owBwAAIABJREFUU4/5x6sYwEhzvD1iSLG7rCa+fWmaC7cj3A6ncdvMZTvbC7cj7G7zMhxMcnLQuPjbfHa66p0c62tgPpVjW7ObWFote4ncK2RVjWhaLTK0qj8ASg8GXcLXzk5wK5QiUbTcVYSgqyGKIgQPbl2dEvvKlRlmY1lm4lkOdNbhspl56XgP4WSeSNqwLxgPp+n3uyg1jpXEP0s1j0RWJavqZbWDixPRohq0mTcGQxzpbuAbF6bKtFhjhaCjryFeb21287E9Lfzl2QnCqTz/cGWW5w60U+e0oAhwFGsNnzvSyWQ0w1eAb7w3SU7VGZxL8NMP9ZEraHz13QkKus7FiQj5QlEHS5M8vaeVzgYnrV47s7EsBV3HrBgtx//XKzcYnEtgMRnmfZ8b6FpS1zjQ6StbEy/XLHu8vxGP3bCWXqwAcf52hHqnFbMieGy7nyvTcYYCSV69MVemkCvCaLhdyOB6bHsTTR4bjS5rmfzR4rXzqYMdxLMqZ0bnOTkYRClKRJWCzOBckldvBMr7Was9QSSV57+9Pkw0rXJxIsZvfHY/XfVOtjS5yRV0+v1u9rQXqfQSNCn5/rU5xufTjIVS5DUdm9m4144t+E7zXTAMTw+HUDXJ6eH5NW+zKVVXKeU4hhT/bwghDgF/BPwKsGKVrIqfzC9j1GhOAZeklO8WP7fkteWg6bI4O1NQhPG3lIaumN1iIpJWcVjMDAeSfGxPa9lxsNVnZ3e7b01KuhuFDwObTJeSfEHDZjFhMSmYTYZnejqv0VXvpLfRSV6T1Dst/MnbY0RSeTRdYrMoXJ7KMRc32FsddQ66G1zo9fKeECxUzZDQNyuCv3z3NtG0yt4OX1UpETCYZTfnEmRVjd99dZhQMofPbkYRIETJ0XFtE43SaqeUetvb4cVd9GIvya00LhCPjKbz/NGbt0jnNZ490E53g5O/eNdQc35qVwuNbiutXjt+t41mj41WrzH7t5oMCwSb+Y5P/FrdQre1eGj3Ociqhve8w2Jie7OHqWimnPNv9trLRIhMzmh2Lf22mWiGS5NRVE0va5oZv90QgT3cXc+3L05xcSKK02rmqd3N7Gzx8ifmMWxmE4owHurVaLpCiFXp/iZFLJlt1zutPLWrhYsTEUZDKZrcNg501TMcTDEVyTAVSWMxK+xs9TAXz3FyMEQ6r5WZeVazUlUWqKSQfH0mjttmJqtqbFlgFGcxiQX/X3r8Y2mVvKZXkCbCqTyJrIql6JRpNglMwjAwLH2fvdjLsqvNSzCRw2pS6KhzcCuU5NpMHE2TWC0KUhoru0e3+/E5LDV71SzEliY3N2YTbKnB3G5TgkwxWDyDsZr5CPAGVXxhFmMZP5kzVT63ZtryfCrPn78zzkNb/RQ0DZfVhN1qosljZ0uzztnRMP3NbuqclnKR8bNHOomm1Q+M89wHCVlVI5XXeO5gB211Dl4Y6GIinGIikuHsrTCqJnnuYDupnOGJ7nUYisJOm4mrU0YNIpDIsrfDx+cGOgmn8uxcg25VrQin8nzlzG2eP9xRViaei2eX/bzDauJgV13ZFTOWznO4t54tTW4iqTztPsear4dP7GtjcC5Bm68bt82yKt13bD7N2fEIui5p9tpw281lCnEgkWVfp4/PDXTz8LYmbGaFrUVZlc8NdHI7nKa/yc18Mkc6r635WFpMCi8MGMX9bc0eFMXYX1bVl4w3mSugaoYNw9PFIB3NFNjV5iGRLXCiv5GeRhfJXKH8/boueeXqLPPJPH63jW3NHixmhf/4E3s4PRLkcE89/U0be96tZoV9nT4uTUbJ5DUcVmPV8uz+dgLxLA1uK7ou2dPhw2IyiBSBeG6Vvd7Bcwc62NHqocljr1CK7m9y85MH21E1uaRmFohn+WpRBeLj+1rZ2eolX9D507fHAPgnD/QwG89yrK8Bh9WEw+rg+cOdFcfy5myC716ewaQInjvQToPLgqYbqcSZeJZ2n4NcQafFa79rNtoze1t5fEcz9g+qn4wQ4qPAi8AngXeBrwL/TEqZup/jWIhSjno6msZiMtHZYMwSPr63leszCfqb3CgCDi3w4DD6WjZluB8K1Dut5dVHSUI9oxr1ilTeSDHtavMyF89R0HSe2NmM1aQY7+cKZSpre52jZovjWhDPqJhNCo/vaGJ8Pr3E4KkaDnbVEU3ny9uth01kt5jKDJ65eJZUvrCskReAx2amxWMrPyj6Gl0c6q4jkS2Ux1zqCF+IugU2z6XzIaXh5OlzWpY13Sqh5FBZghCiakAs6BKbxYTNYiqzeXa3eQnEs+hScrSvYUnKK6/peOxmMnmNjnpH+f32egefHViejLMRiGVUWrz2MtHCYTXx4rFu3hwO0eSx8eAWP+/eCjMTy3Biy1KShJSSyUiGOqelgvVoTESqPxiW61kJp/NlFYhgIsfOVijod1QJrBaFZ/a2EojnyjW/xee5JPdfUur+yK4W7BazYVR3tIvL03EanNZlLRJqwXLXwEq43yuZXwb+Avh31TTMNgNOqxmHxcTN2SQFXae7wcmeDh87Wr3sWGdx7H9m2C0mjvU10FlfeUG7bSZmYllMivHQtJiUJampWtVd7wY2s4kndjbjtpk51F2/pAlwOTisJj5eA1V5JQzOJfj792dQhOD5Ix3LzjL7m1w8f6STeKbAI9v9KIpYt8Dh6RHDosBmUXj5RO+GpCLdNjNbm900eWzl9JbVrKyoVjw2n0LBSJ09vYJA5L3Ax/a0cnU6VqFW3ei2VXS4L1a5XoiSuZrdYuKnHuy5q16vbc0eZrqyZFWtrEDgsJjLfSp723381bkJQolcWYF5MQ731JHMqdjMJra3GEKiC+Vy+tbRlLmRuN+F/yfu5/etBR67mV3tXi6MR7BIQUe9g2015Bs/TLjbGsxatvc5LEtk08FoZC0VQpO5O3pKJdbTRsyyakGd01Kz7H4gkSVf0DesAS5cdNzUpSSaVpddHQsh1tWxn8lrzMQydCywYy59Z07VSeUKGxJkzIoo21OvhJJ1cZPHRjiVL9d0ap0Z3y22NrtX7UGS0nCq9dgtFWZmAJG0cQyzqlbU+Vr/MTQpS1W2haAcoKWURIvnLJLOc3s+jctmqlhhOq1mntl7/+Wa1ooPT7s1S2VlgE6Mmsx1IC+lfLr4uV8EfhIYB75crOUsi6O99eRUjavTcS7ejjI4l+Snq1ir/hjrx8HuOpK5AiZFsKvNyCVPRgxfEymN2eXi7vEPEmZiGf7q7ARSGt71GyFNcrCrjmS2UC42bySklPzVWUMTbOEM+JFtfsyKqFh13C8stC5+8VgX6ZxW/O0fvPP+zmiYd0bnMSuCL53oKacdAR7d1oTVpNBcJFvcSwgh+Pi+tmKzreRvLkxiUu64pH4Y8KEKMiySlSni+1LKsrimEKIJeEJK+bAQ4t8DnwK+vtJOnVYzT+9pJZpRmYpkyBZtcn8cZDYONrNpSSd6PFMo555jmbXZEW8WEtk7Y12rdfJqsFtMK3qJ3A1KDEmAePaOZ0yd07ph6b5asdC6WFGUe/bbNwKlc1zQJam8Rt2CxWu96/4ew9LK64fXjX6iksXzhyXIiLU0Z33QIIR4HYNl1gm8BYwC35BS/qYQ4pPAHinlfxFCHAFeklL+b4u2L3f8u1yuIzt37ryv41+MWEYlq2q4bGYERjFQLUjcdnNZUXdsbIze3t4N/d50vkAiW8BmVrCaTcWGQondomC3mNZl5HQvxnkvcLfjLJ0zMIgOJbWHaDpPrmAUtRenUaQ0Uh4FXeK1m9eka7URxzNZ7OcpnVNNSiKpPLqEeqdlCXkhmMihS4lA0Oxd/UG2ljEuvMbXmqJbbZyLURo3UHWVNjY2RndPD+GUcQ7Ugo6qSSxmQWedc0nT52ah2vGs9fhFis8Qp81UdsS0mJQlqb+7wfnz56WUclXmy4dtJbMYM8B2IAd8SwjxQwypmZKgUgxYkule3PF/7ty5xR+5b8gXdP7f14YBoz70/OFOfukb75Mr6Oxs9fBvP7oDq1lhYGCAjR7nn70zTqjITKlzWphP5rk5G2dfRx2fPtyxLjO2ezHO1bAec7a7Heft+TTfuzpLvcvKcwfasZoVkrkCf3ByFAC/27rEZ2g6aqTcgDVLqW/E8fyDk6Nlu+h/9eRWBucS5S77wz31S6RQ3hmd573bUfZ2eNdUC1ptjAVN53deNa5xl83EP3t0y5rGfXU6Vh7noe66VckOZ0bnuXDbEHes1r82MDDAV77zGt+9PGNox03HyRc0+vwufv6xLRsuNrleLD6ei58R//SR/hW3D6fy/MnpMcBocPY5LIyH0zyyzb+hdiJCiAtr+dyHOshIKXMYAQYhxHeAvRgyMqW7t6qszAcJVrPCgS4fg3NJDvfUU++y8vOPbeHdW2F2tHjuqR7aoa463hwO0dvoorvBwamhEJ8+3MnH97beV22jDyO6G5383KOVN7vLamJ3u7eqZD1As8dGn99FIJHdcBHClXC4p56zY2F2tHqwmBT6/C5avHayqlaujy3EA/2Nq+qb1QKzSeFQdx03ZhM1ebgsHOda6nXH+xtXVVXuaXTS5rOTymv888e2cHEiWm5m/aCi1AR6cy6xJl+dOochCjoZSXOou54d96DPrBZ8qIOMEMIjpUwU/3wI+B3gFoZfzX/BSKm9s0nDWzOe3NlSYcV7uLuew931ZFWNf7w6W9aK2mjs7fBVqNjurnGWc348zHQ0ywP9jRviq/NhhxCCj61A2y0Z1K0EVdM5NRRE1eS6xBaj6TxvDododNnKPR5HeuorHu5Oq5mXjt/bXpTFeHxHc8206+szcTx2M0/vadmwArvdYuILx+789rX0Rt1rBBJZ3hkN01nvWNZi+omdzWtyy80XdE4OBrGaFb78ASEvfaiCTBVZmZNCiOcwVjNvSinPFD93UgjxJobq829t1nhrwdh8kndGwkTSeQ501fHgFj+XJqJcXYeU+kagoOm8OxZmfD6NALY0uyv8PsKpPCcHQ4BxYT9/ZHl72fWkszYLBU3n1FCIXEHnse1NWEwry8XMxrK8Oxamp8G5IQZbN2YSXJowlA98DgvRtMrN2US5/2EhhuYSXJuJs6/DV272Oz0yz9BckiGSdDc67ws1PJPX+NbFKY71NZQVi6uhoOlrlt6ZT+b4u0vTzMay3A6n+ZdPbN2o4d7VuDYSwUSOV67McmooQL3LkAPa4q+kVksp0SUVoppSSt4enSecyvPI1iZ8zju10yvTMS4XlTPqnZY166SthksTUcbDaY71NtDqq23V96EKMsvIyiyRo5FS/gaGNtqHAt+6OMXfXpgioxZI5TTOjYW5MRNHl8YDfK3GRxuFSxNRvn1pmrFQCkUBi6IwEkwyOJcoGz05rSbCqRzBZH5ZT/sPI27OJbg4ETWUcyeiWMwKJ7bcSR+VHux7O3xsaXLz2s2AoUAcSLKl2b1iUTaSKq4y3FYe3FJdSLPBbUURAonE77aSzhf4te9c5aldLXz+aBdOqxldl5waCvL185N01juYiWX5hceMc9BYLOxai2q9a0FB0zk5FCRf0Hlse3PNfSvxrMpoMEUqpy27QnpndJ63R+bp9Tv51MGOFdOx792OMBxIMhRIUtAkI8Ekui5RFIGq6bxxM4gmjZXe3d4b3740zUggydHehnIDo5SSN4dDXJqI4fdYeWJH8z2he58cDPL6zQCTkTShpCGMarfeCXapXIGvnp0gnSvw7IH2smbZVDTDmVGjl91UpDi/PTJPKJnDazdzcy6Bz27eMPZZMlcoC3wms4WaV8EfqiDzo4h8QeeVyzOMhpKYhDDoiVmVobkku9q9PLTVz7P72/mz+zimm7MJzAoMB5MgJTtbvczFs1hNCoF4jj6/C7NJIZktkMkXmIyk+LtL09Q7N465sllocFkxKYKsqhPPqTSabZwdCzMXz9JR5+Cd0XlUTTIdzfLPH3fjd9uYjWXJFTT+x1u3sJoMGZCeRteSfb81EuL1mwGDEuuwVq0zdNQ5ePlED5o0PHcKusRhMRFNq8zGsvQ3ubk1n+LCbUN/ayqaKQse3pxNMBvP8tDWRna1eZmKZnhtNoDfbSWUzLOt2UOrz27Ip7jvpNNuzt1ZPXns1ZtpV0Jplu13L3/+b8wYK/KxUJqMunwDYyKr8vrNILou0TWddE4jmVX5xnuTHOlpKCuig1F7WK0GI6Xk7ZF55osNjQuhajojgSRSSr7z/jSnR0L0N7nY1eblB9fmeKsoM6MgeOHo0k775XBtOs5QIMHBrrqq10EJfo8Np9WE321lf1c9X3qgB5vZRCKr8sqVGbrqncSL1P6hQLIcZLwOC1azIX7q9xjX3zuj88QyKoNzCVq9drwOC/XO1dmhWVXjjcEgihA8tr2pXAPWdcnJoSCpnMaDWxvx2M1rtpJejE0NMkIIL4CUcnNyQpuMrKpxZTLK5ekY2bxGvdvK3hYfN2fjTEezjAaSHOyquytP+fVgX6ePU0NBcqqGzaygSVnU98rgsJpw281E0yrBpOGhcn4swpXpON41zpzvFvdCPRoMN8iJSJovHO1CCMHlqSgjgRSpfIHRYIrRYAqv3YyqGTdbIJGl3Wdne6ubvz0/xVtDITQpCSZzvHyih3ReY1uzp/wQNiuCyUgGkyK4Mh1btpi98Hz73TaO9zfS4LSW2U/1TivBRA6bWeG5/W08vrMFKSXfvjRliHXWOTjS08D3rsyhS8l33p+hs87B+bEIh7p9jM0bvjgAD/Q30OiyYVIEqVyBaCZPVtVqWiE0umy8cLSLtuJsfzSYRBECj93MXDzH1mY3A70NnB4OYSsGzGpBRtMlY6EUQhjCtQXdmISNz6d4ZyRMOJXnE/vaUIQgo65trNOxLGduVSpYSSkZCiRx2cwc7qnn7ZEQsYzKrVCKyUjamEwlsuQ1nXi2gLIgk5Yv6AwFjAf54pXCcCCJEIbcvi4loWSen324DzC8dXIFjS1NbsbnDe+kR7f56W1wcHMuwa42X7nhM53XuHA7WvTUsZFVdfYtqJ167Rae2tXMfCrPQE89qbxxDC5ORBEYK51mj43paKaiibSEqUiaq9NxQ206kSu7u/rd1jJhZTSUKhu3Oa0mvni8h3A6T6vHxnAgUVOtZ7NUmP8N8IuAHVCEEEHgP0opvyqE6JJSTmzGuO43Xrkyy2s35phP5tF1ic1sotlr4+o0IIxl6kANbJyNwvh8CptFIZJWEUXJw6lOH88eaKfNZ8dpNaMIwQP9DYRTecZCKS5NRFHEh9dT51YwyX/+7nU0XTISSPKvntzGkztbeHirXnZKdNvMvDDQRTxXwGFR+Mo7tynokn0dPtrr7NgsJqYiaUaDKX79uzfY1uJhridXLuA/sq2J9ydjSAlda6TLOq0mfm4RZXU6mmEwkEDTJJPRbLl/5FYoxXzS6HUyKYJGtxGMXDYzV6djuGxmtjS7iGVUhuaMznu7ReFQdz1fPN7Nn5weY3A2SSav89kVamyLIQTl2s/1mTivXJk1rBQKGh6bhbF5Dx/d3UI8o3LmVpivnZvgpWPdZZuAEk4OBrk4EUWXkid2NnFjNk4yr+G0mXDaDNfHznonLx3v4s/eHufadIJkVluxHui1m7FZFHKqXn7t3VthTo/MIwR84Wg3O1s9/PFbo+Xg19/k5nMDXbQMBnFYzRVkju9dnWU4kMRqVvjZh/vKAe7yZIwfXJ9DSllOBZZm/RNhQ9kCYEuTi5GgoQf8zN5WbofTXJtOFFVG+nAV061Xp2Nk8hpH+xp48VilZM9MLMM/XJlFSqP35WhvA1860YPHbiaYyJYbSb93dY6CLiuYjIFElv/n1SHGQmk66h187kgXQhhGbAvJFUZfkkDVJE0eGw6riQ6rg/duR3i9aH62Vtz3ICOE+FXgGPCIlHK0+Fo/d8zMfg64d1W+DxCyqkY0o2JSBCbF4LTXOaz0+5147GZDmnwZD/N7Oy4dq0mh3mmhoBsNa+9NRPnCse7yTWC3mPiZh/uIZVS+8vY4kbTxO8bu+2g3BhlVK6vhpnIaUkq+cWGK2+E0x/rq+cKxLuocVhxWEx6HxfDBKTb+ZQsanz7cyYHOOv7qnDE/uh1OG++pd3TaXDYz//KJrSSyhZqLpwuRzBYwCYHJLMqNdrKY1oymDdsBgBcGusq5ekUR7Ghxs63Zw/YWL06r4feTLT58PXaj2bGgy4ox14rStlIa+mgem3Esfu/1EaajGepdVqwmhVxBX3ZbRQh6G10c72sklSuwo9XDEzuby43JXseCsRZWHqvHbuHlE72kcgW+Uvqe4ndLCRcnItyYTeD32Pk/nuukzmWl2WMHfOxu8+Gxm8vX/MIxFjRZvl6MfRqvCyF4cmdzhWzPwuOZWKC+kFW1O/vTJYWilXWDy8redh92i6nqucipd1SaS++7bWZePNbNSDDJV8/c5tJklB2t3vL5XbitWjSQ04oB5OUTvQgqV9CNbhsvP9hLVtWKx6P0fUvP22rYjJXMF4F9UsqyeYeUclQI8QIQBF7ahDFtCp7Z28rYfKpslPbkrmY+uquVj+1t5R+vznKsrwH7XYjvrRcf2dVMg8tKv9/Nu2NhzCZBg8u6xAXZaTW62v/po/247Rba6+382n+/78PdEOxu9/GlB3qYjGR4YaCLrKqXA8XQXJKHtlbSietdVj6xr425eJbD3YYp1442Ly+f6GU8nMZuVlA1uaQvxGWrfGitBw9saeSFqOG1U6LjCiF4/kgnw4FkuffFalaIZvLl2s6udh8DvQ1F4zAjwAz01pc/+6lDHYyGUnc1sdnfWYeqSRRh1EymY1ki6TyjwRSNLis9fie7Wn1VG30f29GE226myWNjW4uHTx3qIJAwju/CY2Yzm/jJgx3cml/bWN2LuuQf6G/AogjcdjODc0mkNCRv7gQYA9UmAk/vaeXSRJTOekfFmA511aEVTdv2d/oqiA1bm908vqOJrKpzuLuOy1MxdGkcq20tHuqdEaNpslhDsZgUvnCsm9vhNAer9FP1+l08ubOZVL7AQM8d9phJMWq6bruZrgYnLV4bh7srt+9qcPLyiR7OjkXY3+lbUSjUa19qB1G6Xj6wfjJF6AsDTAlSyowQYkpK+e1NGNOmoM5p5ace7OV7V2apc1r55P62cupje8vmNVB57BYe3d7Eo9ub+MjuFl67EaDVt7wYYJ3Tyi88bnRx/9r9HOgG4ycWKQkf7K4zmEfL9FJsb/EsOU+9fle5QHsv8fyRpYXojjrHEsry4e565pN5tjS7+eS+tnJ9qFqzaFeDc10qDwthUkSFTP7WFg9z8SzRtIrbZubZojpCNTit5gqFgR2tnmUbCav556wVNrOpbJPtsVuIZVTafXb8rtWL2j6HpaqagNmkLNvAKoSoON4LacVum7nq/vr8LvpWuI6Wo8v3+V10NTjxe2x8fG9bVWr2we56Dq7R2mIxLCalqsfOStiMIDMphPiIlPKHC18UQjwJTG3CeGqClJKTQyGi6TwWRXBqKMTx/sZVm+yWQ5vPwZcf6tuQsQ0HklyaiBbtWLO8cmWWB7Y0rkm+ZDn0+V30Pbwx4/uw4YkdzSt63Cy8Fh7d1nRXBI2F++rwORgPpysaZdeL0sz19ZtBvnt5puyhsx68dzvCrVCKo70NdDU4uXA7wlhodb/BFq+dn3qwd03fcXkyxuCcoQywXLDO5DVevRHAbBI8saO5atCKZVRevxnAa7fw2PYmlAV9JmOhFOfHI2xv8bCv01cuzpcQTed5YzCIz2FsW1qVhJI53hwyGGe1MvDWi9MjIebiWR7a6qfZY0dKyemReYKJHA9v8+O2mXntRgAhjIZNu8VU1XNmM7EZQeZ/xdAZexM4D0jgKEbH/nObMJ6aMBm5w8x57WYAh8XErfkUz+xp2ZTU1kL88Poc6SKt9fJklHi2wK35FB/bvflj+1HEwmvBZlbuytOj4rq6EaCn0cVMLLMh4xwOJsu0X2/xwVkrMnmtXPBN5Qp85nAnb9RYAF4N+YLOD2/MIaURJH5mmcnNxYkog3OG0Ee7z1HVduHsrTCjxQJ7d6Ozopfr1RsBYhmViUianW2eJcKbZxZs29t4Z2V6emSeW6EUt0IptjS576quthYEEtlyPwyE+PShTmbjWd4tsuUURdDms3Nj1jgWzV77sooBm4n7TgeSUl7F0Bg7CfQC/cX/75VSXltpWyFEuxDighAiK4QwF1/7TSHEKSHEby/43JLX7mK8ZPJ3im8+pwWbRaGg6XQV3R9bvPZ7qjG2FmTyGi1Fxdxmj42Oeie6Lmnx2H8cYFaBlOsrdpeuBaiu+rsaVE0nXyxCL9xXKWW1cJ+aLsmtUuReDn63DYtJIATla6SWsYFRsykp+LZ47djMyqp9GIv3sRosJlGmBbf6DM0yXV+qEt/stSGEkZrze6qvHksBwGpWyg2qi99rdNswL1jhZIvkj5KOmc2iVKxOW4rEA6fVhNdx557S7pIssRy8dgsum8FeK10LXrul3Czb6rXT7LGhCIEiBHUOCwWtOqFCq3Ic7xc25elTrMn80To2rfCTEUIcBlxSykeEEL8nhDgKaItfk1KeXe9Yv3lxirFQmoNddTyxsxmv3cLxvga+d3WOw911HOyuZ1ebF0XZvCDzypVZrs/E2dLk5qXj3TS4rLx2fY6sqn0gZzaLsZmyM7ou+fr5CaajWY73NyzbiV8NXruFLz/YSzqv1aytFUhk+fo5g9b6mcMdRtq0uK86h4X5VJ5Gl5XfwKCyf/Xd26RyGp/Y18q2Gut1freNn3qwF1WTa5J6D6fy/NXZCTRd51OHDFtokyL4wrEuYmmVJo8NIQQvHu8mllbLrK2FCCZyfP28YfL26UMdtK9B3kYIwecHuoik89wKpvi910do9dl5YaCrQlZlS5ObLz/Yi6KIJYXpEvZ2+Gjz2bFbTEuIFs/saeVITz31Tms5FXZlyqAg1zksfOFYNx1S4NGCAAAgAElEQVT1DhyLtj3e30h/k6HqUHrQp3IF/rJ4bj6+r3VDa6l2i4mXT/QSz6plQoLLZuanTvSSzN1pjPzyg71MRFL8/fszWM0Knz/aVe6PuTYd5x+vzeK1W3jxWPd9dyGFTVjJCCESQoh4lX8JIcSKTZlSyqyUMrLgpRPAD4r//wHwwDKvrRmZ/J3ZU6kjeCiQ4NuXpssrmuloFofFRDxr0Pvuxn51rZDSGE81jASTAJwbD3NyMMjN2QTj4QwtXjtT0UzV2c2PYSCVLzAdNXgopf6F5aBq+pLVhNNqrjnA3J5P86dvjzM+nyJf0Lk9n67Yl9mk0OK1l4u2c/EsiWwBXUpGq9RANF3yg2tzfOviVIX5m5SSdN6gzFazEV4Ok5E0WVVD1STjxbEBxT4ue/nBXPq7GiYiaXKqsZIZC6XK45uNZ6uuTkqwmo3fPhIyrunZWLZsU7AQdU7rsgGmhEa3rSqTT1FERfZhLJTiL86MMxPNEEmrhFMGI6/E1lqIUs9ICRXnZpXrZz2wW0wVjLd0rsDJwSCniw2kYKyCQ0nDIyed18rXM8BoKFlOP4aSuQ0f31pw31cyUsqNpE3VASPF/8eAPRgrmcWvVWChaVl39x0dnjOj85wemafZa+MnD7QzEkzhsJpI5TR8dguXp2Ic62vgcE89kXSeRpdtTTO0jUAwmeMPTo3ywkDXkofagU4fr98MkslrTEYyTEezPLGzifPjEXa2ejdF/O/DAo/dwqHuOsZCKY6voMgbTef56tkJ8qrG3k4f3Q2uVX3il8MbQ0E0TRJO5dnb4WPXKjL23Q1O+ptcxLMFDhVZRePzKRLZArvavNwK3am5eOzhsqL3ty5Oc6tISa7FhXJbs4ebswkKumTPOi2xd7R4GA4YmmNOq4kzt8JMRtL88PocD/T7+fzRLnIFjcG5JJ31jiXX9PG+Bt4cCtHT6FqXeV4teP1mAJvZxK1Qige3+mn12jk1ZBAlehtdfOlEz7ITya6F56b73to3DM0l+PN3xhkNptjbYfTwlM71/s46pqIZHBYT/U0uJiNpIimV/Z0+Iqk89S7rfXtWLcZmNGPagV/AaLh8H/gjKeXSqcraEMXwjIE73jFaldcqsNi0rPR6aSYbiOf41sVpAokcuYLGgS4fJqHQ5LGSyhWK+lK96xzy+iClJKfqTEUyS27IkWAKl81MKGXMVNp8dvZ31pU7fVO5Ag6LqYJhs5lYTRZmo9Nnq+3v8R3NsGPlfUxFM2TyGrPxLKOhFD2NLp472E5PgxNVkzWlIdq8dkKJHI9ub+KLx3sqUkHVYDEpFQzBmViGb1wwiJjxrMquVi8mRZAvaGUVZE2X3CquekZDSWDtQcZhvXuGkquojgCGMKjVPE8krdLmszMXzxCIZ3lzOMRkJIPNovBzj/RXFOC3NnvKmmz3AgvviVafg0ha5SO7W3h2fzupfIG/OjtBMJEjllH5eKKN7sbqj8rF5+ZeYjSUwm4xUdB1opk8rd47QaPBZeWLx3sAQ8H6r89PIqVBw19snne/sRk1mT8BVOAU8AmMlca/Xue+3gZ+HvgahjrzHwOFKq+tCcf7jdlTd4OTYCLL+HyKrKrxr5/aRpvPwfevzTEZyXCwu25Fauu9gMWk0NXgrJrzLRSX9Fua3PjdViwmQTpfwGk16I0XJ6J0NThrkgr5MSqxpclNrz9hFHiLM+tkVuWPT4+RzBX42J5WdrWtbdb/kV3NHOgyZp5/c36S/V0+draufcVQ6gwHI5iYTAKBcR2UHtQmRfDglkauz8Q50rMxcu/nxsKMFld8Kwk/Lka9y8qXH+zlRH8jl6diBBM5vnp2grl4lhavHb3YjFzC+fEII8Ekx3ob7knP0RuDQS6MR4qyKp18bE8Lh3vqqHdaURSBLo2JWipXoMVrp6N+7SuAM6PzjIfTnOhvvOueo8U41F3HbCxLIJHFZTWTUavPzbUFx1PTNrbgf30mzuXJWE30+s0IMrullPsAhBD/HXh3rRtW8ZP5ZSArhDgFXJJSvlv83JLXVkIso/LqjTlSOUMQUghDJPKNwSDxrMo3Lkzxbz+6ncmIUd8Ymk3w2LYm0qq27p6DWtHgsvLZI51k8hrfvjSNIuDhrX5ODYVwWBS2+I1Vy5mxMIqA7HtTmBSFG7NxPHYLE+F0memj6cbMO5kr4PwArXA+yLBbTDy1q4XHtzczNJdACqMxryQTciuUWnOQEULQ5LHxp2+PcXYszF+8O87/+Zl9dDe4sJmVVdObXQ1OntnbSjJX4GCXkeor6BIpJTdn4uU03tHeBvZ0+LCZBK9cmSWrauzv8HH+doRmr51Ht/nX7ICazhc4NWT4B51Ug7xw1I6UlLW7pJSk8hoCQ4Nv8W8oiVEe7qnn1//hBlenY0xFM3Q3OHnxaDfxjIrfYyOrapwcNKjRb+SDGxpkZPF3nB4OMRwwLB00XfLR3S0VdQ+fw8JLx3uYjWWNLMai+2MunuXkYJBWn72ieTSeVTk9Mg/Am8MhPnekk1xBx2UzkytoFcerGkqfWYx3R8OMhpIc6q7nyZ3NnB4OkcqlGZxNcKSngURW5YfXA9jMCk/tbqHZa+cn9rcRTuUrmjazqoYQrChuWTqPLqup6rXx6o0A+YJOILGkn35ZbEaQKVcmpZSFWmx+l/GTOVPlczWtjIymsjRXpmJYTYJwKs+hnnrG59NE0nkcFjOz8RzbWtz87YUpOuod/OGbo6RyGkd66qt27N4rXJ6KMRIwiqLxjMpc3EiRbW/xMDSX4O2REKmcRr3Typ52L3lNp8tpYWerl0xe4y/P3ian6rT5DFJAq8/O5we6NjTQ3CuV5M3EqaEgXzs7QSpXoMljp9VnZ3uLmy1NbuJZtSZb4RJyqsZEOI3dYuL3Xhuhr8lNg8vKi8e6V6XELwxoPY0udF3yj1fnuHA7yvYWN9tavXzz4hTj82l8Dku5SHxjNo7NbGIykmF7i3tFk7GFsJlNZcsAp83MH566ha5LPlNcHX/r4jRvj86TyhU40lNv/AaTUnUiZjYJQskc4VQem1nh175zjTafnS+d6OHje9to8tgIJnIbXkOYT+b4/ZOjTMcyJPMaiYxhn3BmNMwn91f2OK3UcX96xEjzTUYy7Gj1lAOU02LCYTWRzhVo8lj583cMTb8DXT5uzBqCpp861FF1hRNK5vjauYklK493Ruf5re8P4rCaCKfyHOzyMRvPEsuo7CyqIVyciJZTo92NTva0+9jW4kHXJal8AZtZYSqa4W8vTKEoghcGupaV7P/e1Tmuz8Tpb3JVTQO219kZC6VrOjebEWQOLGCRCcBR/FsAUkq5vkrjXaCjzsGliSiqrjM2n0ERkMkbtRerWcFpM9HgMnzA93b4UDWdobkk7XUOboVS9zXItPnsmBQjPbKz1UsoacwuW7x2vnLmNllVR9V0Gt1WYhmVY30NZX2rm7OJMkPu8lSUBpfhRXE/V2QfVtwKpYikVXIFjUQ2iRDw3kSUR7f5eel497oYhp8b6OL6TAJV08o1nXAqTzSdX5a1VQ1Ws4LLZkZRBNPRDH95doL//ZO7y9prsUweq9mEqunsaPEwNp/GbTNT51i7QoFBYTZWHOPzqTIjbqL4HWPzKaLpPMlcgWhaZT5ldMdPR7Mc7qmvaAA93tdALJ0np4YpaDomxVhlXJyI8sn97Xz+aBfxjLpmNtxaUUojNTitdNY5mYwaY68lHQZGA+hYKI3Hbq5guL05HCKZLdDgsrKv3cflSeMxV1LeBkMstFqQmY5mKpSiSxgLpXAXvVwaXFYa3XYcFhNOq7m8WmzzORAiglkRFSuyb10y2i92t3vx2M1GWl2XTEUzywaZUrAaC6UrFKVLeO5AB5F0vibvqM1gl22+6fQibG/x0OK1U++0MBwwPCV2tXk53m9lKpLhI7ua8Tks7GrzMla8uY701DMdzSyrV3Sv0NXg5Kcf6kUIgdtmZntxNuO2mfE5LDR7bOQKOo9u8/PAFn+5YRSM2Vl/k4tMXuPR7U1cm47R51/ZzfHHMPDglkZmohnSeZ0+v5PrM3G66h0ksgVCifyyheGVsK3Fw2+/eLCs+nxyKESr174uY6hP7G3l25emjUZBuwWTInhoq58bM3EOddfT3+RC1SS+ooK0w2qq2VXSYlJodBsU3luhNJq8wz57eKsfkyLI5DX2tHups1vLVNqxUKoiyDyyrYk97T5UTSORKfDVs7cJJfPlmXPpezYadothpfH5o13YzAoOi4m8plf1XFkJx/sb2d7iwWkzVaSexkIpTIogllHxOizs6zBWHQ/0NXB5OoZakMvWMra3eBgJJssKySU80N9IvqBT57TwE/vbURTBzz7Sx/h8ise2G3Xhrc1ufubhPsyKKE92dP0O/XwslOLF491MRjKYFcGOFXp5Ht7q5+JEhN3t3qrpMpMiaqbsC1ktCfg/EY4cGZCn3n6HkUCKNwYDpFWN432N65LeuJcYGBjg3LlzS14vdRrbLSb+7tI0P7g+x4NbGvn80dosUjcKAwMDhJ5a4oh9V1jMBrvbdNzYr3+SQ0eOcO7suVWZXcthLp7lh9cD+Iqd31lV56ldLRV+6xuB0nnPF4wV6koKzufHw1ybNoLKRuienR0LlwVCV7LYHhgY4PW33sFmVioYYqeHQ4yEUjzQ17DmBtKhuQTnxyNsa/GsKwW5Epa7hxbi7ZF5xudTnNjSWBO5AWBwLsGZW2G2NLlqaurNFYyO/FKAGBgY4M23jSpArROB4UCCc2MRtrW4kdIo1G/U9bAYQojzUsqB1T63WaZlD0kp31rttfuBUDLHH5y8RSSdx+ew4LaZP3ABZjnMxAx2EsBnDncyFc3Q2+hiNparutT9Me4glMjxl+/e5sVj3esKNC1eOy8d7+bmbILvXp4BjNreEzs3nnWYyKr8xZnbZFSNZ/a2LstEO9LTsGFMsqyq8Wax0P/mUGjFIJPOa/zByVG8DgtfPN5dfjA+uNVfVjteK04OhYhnVGZiWfZ1+O6rXFMiq/LO6J3Cfa1Bppoq92oIp/J89ext1ILk2QNt9De5UTWdPzw1CsDzRzrXXDcDODloNGnOxLL8iye2VCg+bxY2q0vvd9b42j2HLiW6lFjNxoOmc42OhR8ETEczqJpE1Yw8a8ltsaPe8eMAswYEEzlS+fW2aBlo9tiwWQxGYq25/bUikMiRzhvMo4Ud+PcSVpNCc1HnrHOV31ViLcYzKpF0/q6+t/RdbT47FtP9vYYdFoPcYIzj/jwHZmNZcqqOLiUTEUMQNa/p5ft6OlqbSOrC42f9gDRh39d0mRDiBPAg8G+A31zwlhf4tJTywH0bTBF+v1/29vaua9tgIoeq6WWZio2+JdJ5jUTRSjUTnqWWcd7rsWm6ZD6ZRyKxWUzUFXtHxsbGahrncshrurF/KXEV601rQUbViBeZVAvFBBdjo8Z5r1HrOONZtUzuaHTZMG/Qg1qXkmDCYDKaTYbopKZLCrpkZvL2hh9LTZdlGRS7xVRx/pO5QtkRdKVznC8Y139JBLOWY5kr6JgWbAsQLRI/wGgpWKzevF6U9iswpHAmbo+vOM6Cbrhy2swKqVyhLLvjsVsQgjVd/xuB8+fPSynlqgfhfqfLrIC7+L0L15Vx4LP3eSwA9Pb2rpqnLSFU7KQFeP5wJ//t9WGuTcdp8dr57S8c3PDVQ8k3HOAr/+GlNY8T4Fe/fYXrMwlavXZ+qzi2RFbla+cmyaoazx1ov6tmsWSuwP9485bhuNjmKcvcV8t7lzrUrSaFFwa61lS3mI1n+aW/fp+MqvET+9v50omeNY1rcC7B379vpK+e3tPCnvbquei15OcXY7Va0L0Q9qx1nK/dDHDxdhRFCL50omfDGFq6LvnauQlmYlm2t3gYn0/x7liYrU1uvvmrL9d8LEtQNZ2vn5skmMjx1O7m8vlKZFX++K2xJdcXGIy2b763Mh333FiYU0MhFCF46Xg3TR7bmo9lSV7KpAi+eLy7TEK4NBHl1RuBYh9Nd831kuXw9+/P8P5klBuzCQ511/Hnv7T8vR7Pqvzp6bGy6+rWZjffuDCJEILPHukkmlbL6duP7Wlld42yQK/fDPDebcOT6pm9rSt+VghxYS37vK9BRkr5BvCGEOKPpZTj9/O7V0MomcNqViooifmCzsWJKF6HmZ2tXm6FUuVZ4th8iq56BzazgtNiQpew0av7vR1ebBYFkyIqlG4jqTyKECs+rP1uK80eG80eW3lsU9FMeZYzHEjeVZBx28y8cLSLQDy3rHthCSMBQzlhcC6B45KJLz7QvXpAlrCvw4cmZTmFsRZsb/GgHBBIKWtWK/5RwCNb/TS5bdS7rBUB5spUjKyqcbCrjnAqj9turol2XXqgp4vn8ep0jGxeW1d6LJkr8P5kFJfVjNNmYi5usNBuzibKQcZjtyx7fXU1OPm5R/tXbCwsNcnqUhZ7m5YGoqG5BPOpPAe76ioCRmlbrSg4WeKPHuiqY2uzG5tZIZzKIyUbslJ4andzufhfLbGkFlf1TR4b6VyB2+E0QgjiGZX2Ogf/9JF+wFjxtXiNFof1Xv/XZwxvmhuzcT62p2VDJs6bxV21CSF+H8NPpjwGKeWTK20khGgHvgPsxlgRPQX8UvHtHcA/l1J+UwgRA94rvv4ZKWV4yc4W4Np0nO9dncViMnoB/G4bBU3nv/7jTa7NxOnzu/j5x7awvdnDjZk4uYLObCxDT6OLrqJQ4npZSqv83iWFxLFQim9enEIg+MzhysauRFblWxen0XRJIJFnNp7FvuAm6G100V5nJ5XT1i18uBAtXvuafFR2tnn42/cmeX8iyo2ZOFemY3zqUEcF/VtKybnxCMlcgRP9jbT67Dy1u4X5VI5jfbXRxNcrXPmjALNJWcIkGg0m+f41Y0V8aTJKPFPAYTXx8jLCj7ouOXMrjKrpPNDfWC6+//BGgFuhJPs762ivc6AIQ27njRrH+P1rs1wYjzAcMLrY23x2sqrOwWJ3+g+vz/H+ZKxsTVyt+L/aKuKB/kYQ4LGZq6oGBOJZvlNc8SazhQoB0Qe3NmJSBF6HZclEzGUzc3o4xJlbYVw2E196oJdrM3HiGZVjffWcGprndjjFI9ua1qwAYTObeHpPKxlVq5AMKuGvz08yG8vS53fR0+hEEYZsVMkXx24xkStovDEYxG5WONbXsO7gMNBbz4XxCHvafVX38c7oPJcmolWN4pbDZgWZrwP/H/CHGIKWa0WFn4yU8hXgFQAhxBnuSPxfllI+vtadliQS1KIyrt9tI5DIEUzkyKoalydjnBoM8qlDHXzpRC+vXJkpR/wXj3Xfc4e8hQgmc0gJEiNnvfAmODkY5NRQEL/bxkgwiSIEczFDWt2kCOwW06ZQm/1uG4d76pmMZJiKZIhnVc6PR3igv5GCpnNyKMj4fJpgIofFpCAwRCuX8zH/MSqh65KTQ0FSOY1Ht/vxLJLAX1g7KM3SM3mNeKZQNcjcmE2UWVY2s8Lx/kZSuQJXikrPN2cTFXbK/6nG8ZkVhVROg2KlcCHFNpPXeH8yxtXpGKpmdKx31jtWpG5Xg8NqWlFf0KQYRl+6lETTeb753hRbm93s7fDhtJpXZAkGirWpVE7j5my8LIOTyKplkd0LtyNrDjJgZAZKApcLGVByQS1sLm4EmlIwWlgvOjcWKTurNris617FH+1t4OgKjLRzY2FUTXJ+LLLsZxZjs4JMQUr5e7VuVDQ7yy6OsEKIfmBOSpksvrSrqF32FvAf5CrshoHeBkPHy2oqUzX9bhuHuuuKsgwmZmJZ3p80pP7dNuMmNisCxwbkZf/07THOj0f45L42nt5j5EEH5xJE0yoHu+oqZnL7OnzMJ3MIIZbUGwbnkqRyGqlcmke2+rkdydBZ71i2+HsrlOL0SIi+RtcSqqmuS35wfY5wKs8TO5urrljGQilm41n2d/pWTb18+mAHmbzGSDCJ321jV5txEwwFklyaiJHKFQin83TVO5c8JFfC2bGwoc9ms7Clyc3ejqVNZKqm849X50jlCnx0d0uF2+GPAkZDSd67bYiNO62mJQ/IK9MxrkzH2Nni4csP9XJ6ZJ4mj61icnRlKkauYKwmPHYzQhgeRm67ubzfXr+TsVC6podntfE9vaeFZq+N0WAKv9tWlkcBsFsUfA4LyWwBv9vGrWCK331tmEaXlQe3+GuuMSzGwmvhqV3NSIwaTDxbYGw+xbYWdzkFd3s+zVQ0w75OX0XD8kNb/UWXUTudDc6y70yTx0Zek7x7a56sqnFjNl6T8Gk1CCH46O4WbszG2d9Zh65L3DYzil0QSd/xDopl8kxFMrT6DA+dNwaDTEUyPLzVT3dj7Wnx5e6ZXW1e3p+M1XQN3NcgI4Qohci/E0L8C4wVSdlJZ7W01gr4THFfJWwDIhirpWeBby8aR4WfjNtm5if2t1fs0GpW+NKJXh7Z1sS3Lk4jkeW87kNbG2mvs+NzWO66+S6ZLZQL1X99fpKn97QyE8uUX0vlCxUzMrvFtKyXfK/fiZSSZq+dzw10MhFOFyUnqgeZt4ZDBBM5AvEc+zp9FQ/3qWiGq9OGLMa7t8I8e6Dy+MSLqbkS62jx+4vhtJnLuWOtuLICaHRZMSkCl83Mk7uaafc51iyKmC/ovDkUYiaWYSaW5XB3PVazsiSHfyuUKnvCvzcRKXtw/Kig3mkob6uarFp7+JvzkySzBc6NR/hfnty6RJNqOJAop9N0KTna28Dnj3ZR0GR5pSyE4NOHOivO3XrHZzObON7XyPEqadCMqpHMFTjSW28I1poEF8YjtPnsFHR510Fm4bXg91h5cmcLt8Np4rMJY5xFh9tUrsA3L06h6ZK5eJZPHbpzzJo8topj+OKxbpK5Ar2NTgq6ZHw+hSIEbw6F7jrIgPFgLz3U55M52nz2inM9n8wxOJfEbTfT3eDCbjGVVzVvj4bobqw9ezG24DhduB3hI7uMe+Yju1p4fEdzTdfA/V7JnMeQKSqN8BcXvCeB/nXu91mMQGPsqBishBDfBA6xKMgs5ydTDb1+Fz/1YA+6pFxIFULQv0JzWi1wWhW6G5zcDqfL9ReTEOWZpLmGk/ns/nYCiRx+tw2rWVnVj6On0UkwkaPJY1uyEml0W/EUNZN6qsyEDF9x0GscI1BxgTZ77UVrYL1muQqLSdBR52A2ni1TqKtd/C0ew4Y3X9DLvUQ/Smh023j5wV5yql41yGxv8XB+PEJ3oxN7lRWnaYF1eOn4LdcAuJ7a42rjWwhFiCJ1WGFbs4NYVqXOacHrsNCzAdL51a6FZ/a0crCrjka3tSwUKwQowsjlryYe2+SxlX+XxSToanAyFTEUpjca1Y6lIgQCgc9hKd+3jW4r88k83Q3rU7FuLh6nXEFbUpeq9Rq43+yyvo3epxCiFchLKeeLf7uArJRSAx4CLt/td9SqbVQLFEXhP316H3OJLB3F9EWz185nDnUSy6g1zdzMJqUmddRHtjWxv7MOt8285MJxWs28fKKXXEGrmr5y28x8dqCTQDzHzra7Y3Gt1/lQCMHzRzp5ek8L09FMMbAuDf4+p4WfebiXgiZrzu1/WOC1W2CZ0uC/e3o7U7EsbZ7qH+jzu3j2QDv5gl5OY97P8S2E3WLic0c6mY5ly2m0gqajSfDa7/7cVbsWFEUsuW+cVjOfG+hiZsE41orPHu4kkStsyHirYfGxrHdZef5IB+FUnl1tXiwmhZeOdZNWtVUtqpfDRt4zmyUr85kqL8cwCvaBFbar8JMRQvwycBD41oKPbQP+SAiRAkaBX9mwgW8wrk3HjZqI31VejpawnjzqelDtAT8cSPL6zQAddY4VufJtPkdNkhcbiVdvzDEaNDSm9rT7Vp0I2MwmPmjxZaMdQE8Ph7hW1KpaqPulKMqqK7j7wcibiWV45cosXruFZw+0LysZ0+y1V6pQb1A/SglrvRbWyp5cDEURa544jQSTvHYjQHudg2f2tK7bcqOz3lmhUmA2KXiXaRYNJnJ89/IMDouJ5w62L8vU26h7ZrNuu58FTgCvFf9+HHgH2C6E+DUp5Z9V22gtfjJSyovA4Q0d7T3CufEwiWyBSxNRmrw2xkJptjS58NotvDcRZVuzu+Yi63oRiGc5cytMV4OTwdkEiWyB71+bJZQ06i33cjVXK1K5At+/NkckrZLKFejzu1YkHui65M3hEKlcgUe3N/1IrmYM2vE8qiY5OxauCDJa8fdn8sbvt5lNnBoKklV1HtvedE+7wku4MRvnr89PUigqQU9E0kv00CKpPG+NhGhy2zje34iqGXIrK5ls3Q2i6TxvDofwu21V1dQzeQ2rWalY5c8V75OeBueGsB8vjEdIZAvcnE1wtLdh2XTi9Zk4Q4Ekh7rqVuxvS+cNW+mVKMxXp2OEU0Z/02gwVVO2JJ0vcHIwhN2ydrWDzbrbdGCXlHIOQAjRAvwecBw4CVQNMlX6ZDoxgsx1jJTZ08XP/SLwk8A48OVicPrAYUeLh7cSRvH9v37vJnUOK6NNLpxWExPhNG8NB/mVZ/esy6ukVrx2M8B0NMtwIMmxvgauTse4PBVnMpIlndf4+ce2LLttvqBzeSqKrwZ/kruBAOaThu/K6ZE8E+E0j+9sXkLeKGE0lOR8sRBqX4Xa+mGFogji2QLXpuMc66ukoA4HkuVCsNmkEE3nuTwZo85pxW0z8/C22kQsa4WmS753ZY68qjMeNiTq26rQ/k8NhxgJJBmaS1LntPDqjSAFTV/W6GutGA0myw/VhXhzOMTQnPF9um7II+3v9GExKVyZMtQ2fA4LLx67093/2o0AM7EsI4Ek/U2umpiQ1bCj1cNUNEOzx07dMiSiEtNLl5JQIsfPPFy96lBSe+hqcPL84Y5lA82WJjdXpmLYzCY66u28P2koROxZRt5/Ic6PR7g+E1/xM4uxWUGmtxRgiggA26WUYSHESgGhok+miO9LKf9J6Q8hRKc27JYAACAASURBVBPwhJTyYSHEvwc+hdGXsyKmohluzsbZ1ea9bymg4/2N7O3w8fsnR4llVMLpPL3ScDkcnEvisJg4MzrPE2tkQ83GslybibGt2VPzTel325iOZvHYzRztbcDnMDM4l0CXkplYlnhWXTa/+9ZwiIsTBkVVl0a/js9huWd9LlazwgP9jQTiWV69aWRXv3t5hqd2tTAby9JWZ6+Y/dY5rZgVQUGX+F0b71NSwt2mv2rdPqtqzMaytNc5MBdTNMf6Gpas1OqdljLNdiyUYiaWZXAuwb5Oo9i9HG6FUoyFUuzv9N2Vv4sioMFlQZeSA111fGaZB6DfbeX9CcP0bHA2SSpXIJFVGQok1h1kgokc3740XbWT3u+2MTSXJFvQODkUxGY2MRxI0OyxMxPLICVFA7Y8HcWajd9tYyZm3Cd3u8LSdUmdw8rLJ3qod1qXfcCbFUG9y8J8Mr/i+RoNpkjlCpwcDHKg07dsr0xXg5NfeGwLihBcmY7xw+vGPaQIseyqJpUrEErmaChmND7I7LISTgkhvsOdh//zwMli0T663EbL9Mk8UeyJ+YaU8jeBY8Drxfd+ALzEoiCzmMIM8K2LU+RUnRuzCX7h0S1Vc6P/cHmG6zNxMqpGndPKJ/a1LWvRula4bGaO9zdQ57SQVTWS2QIz6RwNTgvtdY4K5s9q+N1XhxicS9BR5+D//ryhV3ZmdJ4zt8Jsb3EvS30GeGJHMzvbvHjtZnQp2dXm47NHOjk9Mo8i4M/fGef/Z++9oyO7zmvP37mVcwEo5IxudI7sJjuwmUUxiKQoiqIkikrWWB7LWn5vnu33/DxeM+OJz16zbHn87HHSsy1ZlqxAZYpizk12ZucENDJQCJVz3bpn/rhV1SigCiiEDpRnr9WrgULde0/dOveE79vf3l/Y31V2V1UoDLWaFOLpbHHXUOc00+q1kcpqJc6Pzx67ak9QSVsro2o8e2yEmXiGBzY3leQMjAaFh7Y2cXY0wnQsw3QszZp6Jz84NsJkJE2L11pSdOpzWvjcvi5Sag6PzYSm/Wp4KH3v6AjT0TT1TgsaOtW21mFm/5rS0I/dYsSoCNJZLc8YNNLjc3JbV23FpHY4keUnJ0bRJIyFk8VCwaVASkla1bCaDDx1aztT0TRNbitvX57h2FCQzS3uklzk/jU+vn1oiIlwitcuSrI5jYlwmgaXpWraeTKTw2pSigN2uXH7H9++wo9OjLKh0c2X7+omp8HPTo6TzWkcuhKgrcaO3awrMvucFppn5WXu3dDAxhY3tXZz2ZzS3OsvhNcvTnFiOITVZOAL+7vmhS3VnMYPj4/ij6S4c109tQ4z9U4L3z86wngoyX0bG0smhX09dfzlq5exGBW+c3iYT9zSSqdPl8HJ5LSS3EvBVVOZ1c5KQ01G1fiX94aIpVU2Nrv4zF7dWrtaj/sbNcn8FvrEcjt69OMbwA/yRZP3LOE848A69FqbHwshXga86IKboJMJ5jkflaMwO8xG+qfCzMTSmA0Kn7y1vWQrrBdXRYmksvRPxdnZUcO5vOTMSrF/jY/9a3w8f3qcwwNB3ro8g9VkwG0zsbe7ej+I02MRJsJJIqmr8vWnRsPkNMm58Sj3bmismGxVFEGN3cS3Dw0TS6k8sKWRj+9qx6AoXJmOk85qJDO5spOMQei7BE1SfLgUIbAYFX5wbJThQIINzS7u7K2nbypWrDrvm4pR6yj/+fyRFONhXYnh7HikZJLJ5jR+dHyMVDbH1jYPW1o9rGt08o2Duhze7CK1Ajx2E+f6Ixzsm7muCg3XClJKwnndsMFAHLvZSDCu56j8Eb30TM1phPI+9mlVw2gQ1DrMeGwm3ktmOTUaps5pZmdH6SPyyzMTnB4JMxxM0Fmnh28XQ+FatXadBiyl5HtHRxgNJrm1q5YDvb5iYvrkaIicJjk1GubeDQ3FPpNWc6QyGooQTOeVLYTQC3Y1TS6aFH/xrJ/To2HWNDh5LF+35XNaeGJnG4FEpqj/97OT40xG0gxMT2A0CJ7Y1cZHd7QQTGR4rz9AWtVo8drK1n4piijuaubizUtTHBkI0lZj48ldbSUTTTytomqyhBBQ0H1LZXOksrl5k8xMPMNIMEkio3JuLMInb+tgKpouWl6fHguXTDKbWtzcs6GBUyMhLk5E+bOXLuK1m7GYDNTYzexbUzcv97S5xa2XIyhUrOnJ5rSiJUYokS2xeK4GN2SSyU8m38//W8l50uSLOfM7oy3oO6FCpZSbBXZGs/HkrjZmYhkU9M7aPxWjtcbOxmYX925oxGoysKnFzfnxCFtaDdjMhlXR/5qN/Wt9HB7Q61EtRgVFUapimxwdDHJiOEQ6m0NSKiOyo92b38m4FjWAmoykiwKaV6bibGhyc9e6+mIV9umxCA0uyzwyQjYnacqv9pwWI49ub8ZtNeGymhgOJAgmMnzn0BB9kzE+vKkJj82k53FGwlz0R/nI1uZ5xIImj5XWGhszsQxb5tznnKavckEPnW1v83B4IEh7jQ2DItjaWj5M1zelC0JM5CevDyoyqsZfvXaZgek4uzpr2NPdzKGBGY4NqbR4nfRNxbifRn3FG07RUWfH57KQyuTY2uolls4WZZFSZXzl+6ZiKIqg2WPjoS1NdNcvvpB69tgoo6EkaxucPLq9hVRWYzTvj9I3FSvJ++xo93J8KITTYuS/vT3A2gYnd+UJCY/vbOHwQJDdnV6ODYXwR1JsbfMWnwNNkxwdCqLmJLd21RRX5KDnnkDPwcw27euos5ewNbe2uhkPJ7GZDRgUQf9UnCd3tQF6vmI8pIdh//BHp3hmb2fVBZWF648Ek8UdHOikmn89PIwmKRqTgS6ddOjKDM0eW1kVijqHmVQ2x5mxCCaDQjanUesw0+1zMBpKsq2Mftid63z0T0XJ5nKcn0iwrtFJMquxq9NM31Rs3iQjFgiRFeCwGLl/UyNDMwl2dS3drfR6V/y/lc+VRNGLL4t/Qp97ljRqCyFcUspo/tfb0WV/rgBfAf4EnYn2bjXncliMHOit489f1reb4+EUmZzGWCjJLR01eO1mHtjcxAObm5BS8typCX5yYoz9a32rZhNrMSpYTQZavTZymuQL+7uKD1EkleW1C5McWOsrebBAF63LqBoWo8KGJjcOs4G+qRhrG1zs7qot6453YjjEmxen6K538JGtzQghaKuxsbbBSSiRKa5uaxxmHtzSzM9OjnHJrz9EDS5LSYz+QK8Pm9mA127iW1BSBHprVy0/Oq6Hsd68NM3urlp+7UA3J4ZDvHLOz1AgQSCe4dfv6CnZzpvytgDlYDUZ+OiOFgZmEmxv83B8OFTU2npgc1NF+vee7lreuqQ7Hn6rzN9Xm1K82PmXi4P90xzs0z/vdCzNuiYXHruJd/sD9E3FuX9TIzlNcnYswlQsjZrT+L0HNxSPl9LC3evrSWU1dpcZNPav8XF8KMiWVg8bqmQ3jodTBOJpvn80RDKb42M7W9ndVUPfZIw9PXr/m4ykODwQpKPWzm/ds5Z/fPsKkaTer+scJja3ePjIthY+kidwrGty44/oSg4FnB2PFB07zUZR4gS6f01dPgxXXtwxm5NcmIjyHx/cwIc2NXJmLILFaODWWffAazczOJPglfN+IkmVQCzDXz2zq6p7sLenjvf6Z1jb4MKoCL5/dAR/JEVnra4EAPoCpzDJ1OafrUowGhR66h0lk9XJkTD907FZ+m+lePvyNPF0jmha13xzWU3sW+NBEdDqtTI0k1hWecTmFk9F24zFcL2LMQ/k/19WxdfcOhn0PM5j6LuZt6SU7+Xf94YQ4i1gCPhatecfmE6wpcXNwHSczjq7rgRrNXJ0MFgSO07m5c5B13xarUnGIHQtNLvZSIPbUlJpn8zkOD4Uwue0zFPZ7W1wcmYswiPbW8iqGkOBBD99f5z7N2kVvb1PjYRQNcklf4z4+hxOixGjQakoD1MImRgVgSm/I3r78jSjoSR39Pq4vYLN7oFeH+fGwxwfDhGIZwjkjajaa2xEUir+aJpah5ljQ8El+aJ31jnorHNwfCjIm5emCMaz1DrMC9Jx1za4FlVB+CCgvcZejLN3+/QB6/nTE0UhxVhKH3z8kRTDwQSuOUQAIcS8ENls7Gj3FhWRq8W9Gxr4l/cGaa+xMRpMMh1Lc0dvPXf0XrUyLzAYL/qjdPns9Da6ePmcn9FgkhfO+EmrsuRZ6qi1c9Ef5eXzk3xoYwN2s7EkdGczlX6u7e3eBckmwXiG506Ns7urhjt667l97dW2qTmNV85PEkurbGp2kVE1EpkcyWyOkWCiKqfM2fIvk5FUMawVz6hsaHKRyWlVkWHCySw/PjHKhzY2cqC3nncuT9NWY+fceJRTo2GODgbZ0OTi1Eho3thjMxlwWow0um1sanbzkW3NbGx2c3o0zItn/RwfCvPRHS2rplhSDW5YwYAQ4gDQK6X8ByGED3BJKa8sclg9UAvYgAeAXfn/c8Bs6tMfoEv9t6BTnavSRKtxmLGGDOzqquGRbS18671BDEKQVktDCjaTgfVNLvqnYkuSvK6EK1MxEpkc65tcbG72FNkrZ8cjJas4IcoXT354cxN3rqvHajJwbjzC86cnAH0yrIStbV7eujRFl8+BY87ALKVkJJikxmHGYTYwEkyyq7OWVq+dWocZt9XEdCzNoSv6bX378kwx3FAO7bV2Wjw23aUznw+pc1r44oEufnBkFCGo2lwrnlYJ5Nk+qiZ5/eIUAoHdrLB/Td2iVsEfRIyFkjjMxqJOXk+9k//zia1EU9liKKfRbcFs0Gs6CgykTE7DZTURSGQWZAeuBra2efg1UzcvnPXT4LLMkwgaCSaIJrNkcxo1djMWo4Hb1/qodZj5xalxhBCk5vTXc+OR4u650aXXzvTUO3lyVxuqJpecD5X54EnBE0r/WeXkSBiTQSlq9XntJr5y9xrevDRNi9eGy7L0+1brMNNRa2cikmJHe82inkuzkcrm6J+K874rxKZmNwd6fTR7bBwdDGJUBA0uXQRzW5kJ676NjdQ6zDy8tYneRncxRD773i40LlwL3KiK//8Z2I3uAfMP6I6Z/4we8loIcynMg8C9UsqUEOJbQoitUspTLFHqv4D7NjSwoclFrcOMIy+aORVNz1stCCF4eGvlbe5ScPjKDP/11T4yao7HdrRwYG09p8bCCCjmOUC30n1mb2dFfa/ClnpDk4tERiWjSnYusGpaaLX62gWd9WI3G+jJc+rnMmBcViNumylvnLRwIvC+jY14bGbMRlEyaXbW6rpwqiarqqyezXLZ0urhQxsbaHBZ8UdSRFI53umbYTiYXHDC+6Ahkcnxr4eHMRkEn9nTWYzdz11ZX73HCjs7vAghuG9jI29emkIIwTcPDvK5fZ0rrutYCL2NrrK02RPDIf729T4C8QybWz188tb24uC3sdlNKpsjmcnNC+s2eawYFYEmS7XUlktndttM7O6qYXc+xCal5P947jyX/FG8dhObmt1IoMVrY0OTm23tNTiXYP09G0aDwseX2Q+F0G0I7CYD3zw4iKpJ7tnQwK5O3XvHbjZULI4OxjO82x/QDdAQxUjGjnYvqqbbA2xcBdHOpeBG7WQ+hi5ceQxASjkmhFh0qp9LYZZSTsz6s8pVb5olSf0XoCiipAPr299qjlw+pmIZ0tkciWyOl89Nsr7JzRdv70IIUSIvbjSIqgQkhSiNUy8HM/EMIDk7HuGiP1rcZSQyanGSsRgNPLO3g3g6t+guxGRQ2LemvPHYUuov0mqu6GceiOt2B0/tbiOUyPAvh4aZCCe5PBVjS6u7qmTtYjmS1cqhrAShhE7R9jktRFLZijYF5e7xp25tx6DAeChFRtWIp8vr0K0U8YzK944Ms7enruwEEIinSeRJKWpOm0dAqRS6a/bY+OKBbqSUq9Jum8lQEr7LaZLpmE4CSWZyfHxXGy6rqTipVGKRrSZGggkO9s3QUWtnTz4p73Oa+eKBLqaj6WIuJxDXQ6EtXhtSSl69MEkgluHu9fUlz1AomSVXPOZqAarRoJRVNbgeqL4IY3WRyQ/8EoqilsuGEGIb4JNSns2/1AvciU5ffrTM+78shDgihDgyNTW1kkuvGLd11dLk0W1VfU4zr1+YwmRQSiaY641Cx01lc0RTKlem4/T4HPMmBIvRsGoe8tXAZTVx38YG1jW6cFmM/OWrlxkNJfG5rDy8tYlIUqXeaeGV8xXl7z5wUIQgmsqyp6e2RNX3h8dG+bs3+oimKtcuGw0KD29pYWM+5HKtqNuxlMpIMMkbl6bIaZJDVwIcGQhw2R/ljYtTbGx288CmJvZ01/LUre2LulrOhtNivGa7L6NB4Yv7u9nS6uHpvR201diXLda6EKSUHB8KcrBvhnQ2x5GBAIeu6LuNNy9NMxJM8k7fDOE8s1MRArfVRLfPwZ7uWjY2u0tsEUaCSX55eoK3+6Z56/J0ybXW1jvZ3VXDphZ3WVIH6Hnkdy5PzwtPXivcqJHsu0KIvwG8QohfB34N+LvlnCjvUfNfgacKr62m1H80lWU0lKSrzrGkh6NaHBsK4o/oq/LBmQSbW72YKwjbVUIyk2MwEKe9xr4qulw+p4U7e328cMbPRDhJo9vKlZk4oUTmmmqYTYRTxDMqPT5HxWK2bW1eOmvt/Oa3jpHTJH2TMf70kztY2+Di7g0NDAcStNwg0c5rASF0quuaeid9U3HW1Dt4rz/Adw4PAZBWNb56b2/F4z12Ew+tUmi3Eoz5Kr4Wj42TIyHevjxNRtUYCyfx2vT83af3XH9H1mqwp6eOPT11aJrkkj9KjcO8ZMuJxaALzuqL2SvTcfwRffdkMgiaPVYmwilq7KZ59UhCiHlmgqCPScPBBGreyXc2FEWU7NY0TdI/HcNtM9HgsjIcSBS9g9KqtqAD6GrhelOY/z16COtr6EWXEfS8zP8kpXxxGeczoudyfq8QOltNqX8pJf96eJhoSqW1xlaRUrsSWE06V7/WbmLfmjo+dWv7kpVYn81ThGvsJr5w++q4KXhsZna2e7lg1muCDHmfj2sFfyTFdw4PISXc0esrS7suwGRUMBkUclppAdvHdupy59dzd7UQViPcVue0cPsaH985NIwmJfvX1GG3GIp+Q9dD124x1DrMfHZfJ3UOM+cndNZlOJlhcCbOhNFwXcJOK8Ubl6Y4PhTCqAg+t79rVXc0sxenTosB/6zXC9bTbquppL5tIdQ49Gczo8qK7NEC3umb4fBAAIMi+OzeTiwmpdh3LEsQuVwJrncPbQP+HNgAnATeQZ90jlZzcDkKM3Ar8Mf5le9/BpKsktS/Jq+yMhJpdZF3Lw8H1vqwmwzEMip7uuuq7mizkcjz5ROruP2tcZj5zN5OpmMppBQ0eizXNGmcyOSK+lLxzMKfw2428r88uolTY2HumrVqMyhiUVOsDxqMiiCTVyMG/T7t6anj9x7YwHQ0zf2bbrzYpxAUV/8bm3VG0+XJGA6LkXhavWYadquJRL7PqZoko84vUF0J2mvtPLmrjVQ2x9oGJwMzCTQpS6zel4Jmj41P3dZBIpOjdxGLhkKlfk7TJX6aPFae2t1ONKUueuxq4XrXyfwugBDCjM4u208+VCaECEkpNy1yfDmp/z8q89aqpf4D8Qx//2Y/j25vmcdwMiiCx7a3cnkqypZlFiItBkUR7F6CdMxshBIZfnR8lGRWZU29g1tWqV6ngCaPdclx/Klomu8eGebxHa2LKgzMRrfPwV3r64mnVW5dYBdTfH+9k+7ryPW/kah3WVA1TXc6zNdOrVZt1mogrWr89et9NLgsPLa9hTX1TrrrHHhtJnJS3lRtrYQ719VjNxtKXC5XE7MJEbOp1/G0yg+Pj5LK5nhsewsNbis5TfKPb+vVHI/vbC0boq6mbgf0qIDVZKDWbi4+y0sxNlwN3Ki9tg1d8sWT/zfGKjhYLgfZnEY0pXJ2PFKWRjtXkuJmwuXJWFGnq8ljq7rjXUtoUjIaTDKRlzNZCm5ZoEDw3zJGQ0mMikKj28rlydg8H5YbjWRGpyAPziSYjKZp8eo1UXtuEJtpOXBajNx9AywgBmbixSLacxNRGtxWUtlc8bm+PBlbMHS8GOxmI3etq1/8jdcQokp27+pcTIi/BTYDUXQfmHeBd6WUwfzfX5ZS3jfnmHmvrSZ8Pp/s6uqq6r2apKjt5baZCMTT5DRdI6neZeHaZSxgYGCAatsJutxIoW0N+ZWZRG+/JiVuq+ma5FjKtVOTkkgyi8izZqoQqCWb04pJTavJsOqsn6Xez2uNREZlKppGEbpkvzv/eW+2dpbDStsYTamoOQ2n1YTJsDp9MprKFkNgXrsZi1Gpup2RVLZYsFlTQW15tSGlfl0pJaHJsYrtzOZkkc58LZ6LVDZHIpPDZjIsamZ39OhRKaVc9OZc751MB2ABLgGjwAgQEkJYATvgE0LUQHG8dqNX7V8zdHV1ceTIkbJ/0zSJqsliJzsyEODNvG7SHb0+hgIJ+qZi+JwWvrC/qyp57+Vi9+7dFds5GzlNIqXkxyfG6J+OUe+08Pl82y5MRHnu1DigF2ddC2ZJuXa+fXm6qA5w/6ZGehudi3pxRFJZvvHOAKmsxv41dWVZNqvdzhuBtJrDYjTwzYMDPHdqAk1Kvnigi3vWN2AxGlbczmutxwYru5eTkRTfek9nynX57HxsZxtSSjI5bcE+ouY0xAJklKODQd64OIVBETy9pwOf01J1Ow8PBHjr0jRGRfDM3s6S2qSMqmFUREVyTjVtL4dTI7pJGsC3/vPTFdsZTWX5xsFBMqpWVLdW82KxczUNl4O/fr2PZCaHIgS/fd/asmNaoc8KIY5Vc87rnZN5UOit3oyej/kddOVkJ9CIPtEc5eokEwH+stL5hBAPAr+f/3U98JvAP6FLygA8UaAzLxVpVa+0DsQzfGhjI1taPTTnzaEAmr02QokssZRKV11lyu31xEwszXePjKBJic9pIZZS6Z7VtgaXBbNRV3O9nvIrLV4bihAYDYIzY7qG0qYWNw9sbqp4jC6RopDIZIpyKr9q+MWpcc5PRNnc4mZ9k5uRYBKTUUFVJX/1ah8bmz/4OmuLwW0z5T1uVNpq7EgpefbYKEOBBLd115bVxBsLJfnh8VEMiuCp3e1l2YS7OmuK8itLZRve2lVLk9uK02IsmWAKbpm1DjOfvLV93kSS0yTfPzrMWCjFgV5fVbnFAho9FkwGQW4RzoHLauKZPZ2Ek1naa234Iym+f3QEIeATu9pXnE9qq7FxyR+jtcZWdkz75ZkJzo5FltQ3r3tOJl+EeVoIEUL3ewkDj6BPLL8rpfyLJZzreeB5ACHEe+gmZcuSlJmLmViGmZgerrk8GWNLq4dWr61ofeqwGHnu5Dheu5mRYJJsTlsWM2w1MRxMFtlwJ0d0Mc3hYBI1p2E0KNQ4zHzpQDfZvKbV9UK3z8GX7ujGIAR/92Y/oN/TBzZXPmY6liaV1SvU+6biy1aAvZlxKS8Nf2kyxm/ds5Z1jU7sZmPxHl3M63b9KsNqMvC5fV0kMzk8dhPJTI6hvLDkJX+07CQzMB0vMsCGA4mKk8hKLJvLHds3FUPKq2PD3AR6LK0yFtJrYC76o0uaZBpcVr50oIeclOW952fBYzcVF16z78VQILHiSebhLc2E12SL4dq5uJQXBr60hL55XUdFIcRvCyG+I4QYRqcfPwJcAJ4AaqWUfyGE2C+EeFoI8bnCvyrO2wP4pZQx8pIyQoj/IipsL8pV/M/E0hweCBDM5wEa3VbWNbrw2k0l7BiHxVgseNzTU4s7b3l7oycYgAaXmbSaw2428NCWpmLbZm+jrSbDNZ1gJHqBacG7pQCnxYjNbGBvT51uxtaz8APY7NFtB2rspgU12G4GXPJHOTEcKsp5VIu598Kbj//vzferGyUDcr1hNirFQTOraTgsBhQFbq3AutzU4qbBbaHVa6O3cXVJEOPhJIcHAsTLlCzolh8mehudZUlCbquRra0e/blbRrLeZjYsWeljQ7ObRreVZo+V9U0uIqkshwcCTEaW55mkKIIah7liGLLYZyvIRJXD9d7JdKEblf0PUsrxuX8UQnwTWAOc4KoOmUR3zlwIT3BVNLMXCAJ/jS4p85O5by5X8f/ssVFiaZXTo2G+eHs3BkXwkW3lK6VjaZVDV2aoc1j40oHVKX6cjcloCsHSaz5ePDtZ3MKvqdfNipZaCBdOZoml1WUX0MVSKq/nq5s/fVvHPAr0bd213FZm8JBScnQwSCytsrenDqvJUNF2YLnQNMloKLmgT/pSMBpKEkpkeOGMHktPZnIVNdrmIqdJVE1jQ5OL7W2lk+iuztoV6899UPGz98eJp3M6SzGQxGRQWDdHdNNrN5e1g9btmlPUuyxVqXPE0irBeIa2fGgolc3xg6MjZHOS4UCCJ24pFbhsr7XzxTLFzseGgoSTWfZ21/GhTdXZRK8WPDYTT+/pIK3meLc/wNuXp7GZFA6bDHz5jh6MBoVERmUmpiuXL7XQey4q+VMthOudk/kPi7xlN7CpWkHLWXgUfaJZVFJmNfDWpamis2Cje+m1JAuhfyrGT94fA/QK9s665cm6/eL0OOGkyvnxCF+5Z21VTLJwIss33x0gm5NLjimXw1LSVFem40VShRDimtAuXzrn58xYBJd15d3+0BX9gU5kVAyKyCdCqz/+zFiY9/r1dKHVZPhA1JJcTxRcJs9ORGj12qqSS/rxiTGGAwl8Lguf3Tt/EpqNZCbHP787SDKTY2eHd9n05eFAorio0jRZ4jt1PXFkIMixwSB9kzFavFaa84vEgnJ5NKWyucXNhxfIg14r3HhNilKcBpqAebucShBCNKELbs6sRFLm47va6J+KlXjJV4Iz7y9hVHSTsdVEIJ7BH04xEkrithn5tdt7qj728R2tXJqM0u1z8Mr5ScJJFbvFSLWLl0gqSzY3X8F1IWiaZCKS4oUzkz3lbgAAIABJREFUE9Q4zDitRu5eX4/HZqpKvr8Ap8WIIgSalDgti9/TV89P0j8dZ19PHZta3GiaRAgWJGAUPlM0tXL1hgKN1G42srurBrfVtKjEB1D0qp8dFlmNSe9XBY9sb+biRJRGlwV/NI3VZMBYhtb82oVJLk/qdsKF+174TkLxTIn9cjkk8/YCAMHEVar8x3e1MRpMFi2Jc5pccIFWsHCOp1Xe6ZthOpbm0e0tK5b7eemsn8FAggNrfVV50TgtRqSUrGtysr3Nyy2dujV1LK3OUi6v7plebdwUvVsI8VP0sJgLOCuEOITudgmAlPKxBQ7/KPDj/M+9LFNSptZhptZR3cr99rV1NHuteG2mVWc+bWvz8u33BgklsvzytJ/9Pb6qLXA9dlNxK/vo9hZdLNJbniVSDu21dvb21BFKZBYN+6g5jR8cG2EinMZiVEjmC8gElaXbF0KD28qnb2snkcnRtYgZVTytcmI4BOh001qHmWePj2DMs40qiXjeu6GBQwMBOmvL2y8vBfvW+JBSl9+pNndyYSLKL/OT8VO723jq1nY0Ta4oQf2rBqfZyMBMgolIirUNTu7KU7lno+ASC/r3X5hkHtjcxKnRMBuaXIv2+VqHmbvW1zMeSpXkB5s9Npo9uv35944MMxpKcte6+op92ue08OnbOnjj4hSDM3HGQiku+WMrktLJScmp0XDx8y02yaTVHKdGw8TSKvdtbCwhSzgtRu7b0MhgIL6sPNFq4KaYZID/e7kHSin/ZtbPJ1iCpMxyIYS4ZlXXZqPCnh4fIyFdmXVgJl71JDMbVpOhrIHUYqg2pxBMZItMGlXTdHly28q6U0OVOx+72UB7rZ3hQIJ1jbpDaTqrkQYGZxIVJ5kGt5VHtq1OnsdjW7q68QV/VPcwiaaZiqZvCoWGmw3RlMpwIIEQgmhaLVtsaDUpdNTaGcp//wUULLmrxS0dNXrlXhlEkllGgkkAzk9EF1w41bss7FtTx0QkhWGOJ9VyYBCCVq+N0VByXj6qHKZjGaaiaVx5x9q52NrmWRUH3+XipphkpJSvL/fYCrUyveg7nEHgC3nNsw8M9q+p470r09S7LFWFYFYDqWyO8xNRmj3WqsJcdQ4zaxucjIf1lV4ik6PWbq5c1LSKEEJwZ6+PwUCCzS1uUlmNS5MxDIpgTYVw55XpOPG0yqZm94qTnwWMhZJMRdNFUUjQSRtjoRTrG13zKqa3t3mYjKSoc5pLXE//LSAQ11WZ1zY4F2Q3um1GNja7GJxJ0Oa18f5wqOT+gv79P3FLK9mcXFY1fk6TnBuPYDUper91mOdN+F67ifVNLkaCCXZ2LL4rafHa+I07exYsEF0KPrG7reTzzcTSDAUS9Da65jHQGl0Wun0OpqLpIonk8mSMjKqxsXnxXd21xk0xyRQghIiSNzKbhTBwBPgdKWX/3GPK1MocBb4spTwghPhPwOPA9xa6bkbVODIQwGY2LCvUs9r40xcvctEf4/JknK/cXeoVktMkRwYCKIpgV0fNqg2YL5z10zcZw2QQfOlAz6KSEooiiuyvF89O8NypcWymyt1JzWkcyXuU37LCdmdUje8dHSGjahwfDLGuyclHtjVXVLMdCSb40fFRgCJ7baUIJ7N8/+gIuXxOanubl1OjIY4OBrEYDfRPxeaxkzrrHPx3d1zNsak5jcMDQUwGwa7Omhs+GFwraPnQUyKT49x4lKf3dJDNaRwZCBYtuQufXQjBg1uaCSey/NPBAXKaxB9JzUtYCyEwG6u7X2fGwiX5iENXArzbP8OVaV2tw2Mzc0uHV3+mOmuwmgwLWqzH0irHBoM0uq0loazVqLgvYPbnGw4k+ItXLuG2mljTEOXTt5Vuv4wGhcd3thZ/75+K8dM8eSit5hYc067VeFLSvlU/48rwp+himf+CXpz5KXQiwAXgvwF3VzqwUCsDbANey7/8EvA0i0wyh64EODygM33cNtMNFyCMpLIEExkMisK7fdN8eMvVzv7+SIh3+mYA3U52tXY6OU0v6NIkRVn5anFqJFwMnVXCieEQB/PttpuNxcTqciDRpXM0KTkyGCCeURkKJPjcvq6y79e02T+vjlZf4fqgP6g/eX+UcCLLmbEIt3TUFG1zF8Lx4RDv9uv3xGExsnEZYdEPCnLFe6V/GceHSj/7XLtsbc79XS78kVSRYl5sS/58mtQ1w0KJDK9fnMJhMZLNaYsyzV49r5MOhNBDZdfSv0iXiBplJJjEqKQWzVdC6f1a7N7NHk+sRsM1CavdbJPMg1LKPbN+/1shxLtSyv9VCPEHixxbqJXxosvRgL4LmjeNCyG+DHwZoKOjA5tZyb9OCVtsMprixbN+3FYTD21pwmhQyGmS509PEExkuH9T45IYVJVwciTEz0+OYzcZuLW7lq/cvZavvXSRFo8N55zQwuz2WeeYDp0aCXNsKMjmFjdWk4Gjg0E2NLkqquFGU/qg2FZj4/5NTZwaCdNWo9NFc5rkGwcHGA0l+ezezgVj3bd01jAWSmE3G+ir8B5Vk5weC2MQggc2L07z1DTJC2cnmIpluG9DQ0l1tcVooLXGxomhEB6biZFg5apv0JW01ze5CMbT3FJF6KMaeO1mHtnWws/eH2MinCKbkxgNCj6nhUgqy72N5SnYr1+YZGAmweM7WrCZDIwEE8zEMmxt8yxrkrke2mQrhaIIntjZRv90jI1Nbq5Mx3nlnJ+xcIpun6PYp0dDSb7+Zj+JTI5n9nby2PYWDuc17965PM3GZneJzEs10OWJRMlgG4hnuDQZxWk2YlAEuztrOO+PIiWLskX7pmIc7J8hntb9WMoJevojKa5Mx9nQ5FqRk6yUkhfP+ovPqMtq5K51Pr57eBhFETy8taksi6230cXW1gTj4eSipIHZn7cwDhZwfiKi+wG1eYu7tGA8w/NnJpbEqr3ZJhlNCPEUesEmwJOz/rbYcqZQK7MXKOwd3UBo7hvnFmPe0lGDx2bCZjbmdZSyWIwGjg+FmIykmYzo8dCeeicjwQQX89IKRweDFbfU1eLCeJjf/vZxIsksdU4zGvDF27v43x7fQlrVWJvfVRUM1DY26xOIIpg38L91eYpwMksgns4bRuV4p2+GXXk641z88oyf4UACoyL49Tt7SpL+p0fDPH96gkRG5cRQiE/e2s7HdraWnEfNaaRUjTt762nx2vDYTDz3v5f/nKlMjia3FZNBIZO7+lWm1Ryaxrzw3Fg4WaxFOjoYpMVrQ9MkPz05Rt9kjMlomnqXhSvTMRpctgV3X0MzCS7kHRuPDYWqEtuUUvLcqQn6pmLcvraOdY0uFAGKULAYFWIZFZNBINFDZ511djpq7bx8fhKzQeHkSJjt7aXrm76pGP/v631Iqedz/sOH1+GwGHFbTQzOJBZt080MTZPEMioui3Fe2G84kOCnJ8dwWU2srXdysG8Gi8mA127iw5sai/34YN80Z8b09eELZ/08vqOFoUCco4Mh2mrsbG2L8fn9XUtqV43DzKdubSeYyPIt9L7wvaPDRJJZ0qrGjnYvPzs1zo52L3u6a+mpL/V6MeddWAt4rz9And2MAB7e2jwvv6Trl+mh3EuTsWK9Tiqrm/ItFoYGfXeVzOSKi8BmjxWPzcSv39nDoSsBhgIJDIoueDs3FBZPq3zrvUHeuDjNukYnr5yf5KM7WitciYrjyXAgwS9OTeTbrhUZaydHw0yEl6YmcLNNMp9Bd878K/RJ5V3gGSGEDfhqpYPm1MocBr4C/Am6wdm7i11UCMHaBhfv9E3z3MlxxsIpbu2q4bbuOhQhsJsNReZTvcuCy2okllZLzIeWi4uTcaTUd1E5DRwWA998dxABfGL3VSvm6Viar791had2t1e8biiZ5cRQiN5GJ9vavJwcCdNZZ68YKy68XC4OW+c0YzEpTEX1xOhIMEkgnineh4yq8e1DQwTimUULN4dmErx1eZrBmQQ72r1FNYHpWJp/PTxMTpN8dEdLSSfXY+UmIqls8fNGUyr9U/Hi9ZGSZFZjOJjAvkBtjaLM/rm6mHMqqxUXEz97fwyz0UDfVIxNzW4sJgMZVa/WL/SFjc1u1je6uDwZYzycoqdMyNWoCAQCib7rMRsUtrV5GQ4kSga3DyJ+dGKUwZkEG5vdPLilNH9yfiJKOqtx2R/k4kQUi1HBZjawrtFVstLubXDisZlIqxpbmt2EEhmODYcYCyepdZirrveaiwa3tdhvFQVq7WaSmRwOi5FAPIPPaWE6muaXZ/2YFIWPbGsildV46Zwfp8XIp2/rKBaD9tQ78EdSbG7xlN3dCygm/g3i6rNb6OeP72hd1GdpKpbm79/s56GtTYSTWc6NR9je7uHKdJw3Lk3RNxnTn6MyIrdDgQShRJacpjEdy6BUkecrN57MPmz2OTpr7bw/HFoS4eKmmmTyif1HK/z5rQUOLdbKSCknhRBvCCHeAoaAr1V7/cGZBOFklnhaJZzI4rEZ+Y27ejAqojhQ281GvrC/C1WTVUlXLIbtbV7u39RIIJ7hN+7qIRjPcjAfqx4JJommshgURZcQVzXGQsmKcjNem66zZjYo3Luhgb09ddgXWDk9uLmZcxMR2ry2eZ+lrcbOHz22mWMDQcYjKVq8NupmJdYjqSzDgQSJTI6+ydjCk0wggcNiZHu7h3s3NBTbPx5KzRI6TJY8tFaTgc/v7yKjasXVn8tqZE2Dk+FAgi/e3kV7rZ2UqhFOZkvYWv1TMTRJsbC2rcbOR3e0kMjk2FRlSMpqUtjY7KJvKp4fjLJEU3ph21AgQWedg7Fwal5feGp3Oyk1VzaM0Vnn4Hc+vI7+6TgPb2nWWVI7W0lmcyUV7QPTcVRNY22DPgDPDYkthMXeu9LwWqXjC6KWgzPxecdsbNZp5jkpcVuNGA0Kn7qtnUaXtWTS395ew9c+uQNVk7htJl4+76fWbqHRZWVnp5eP7qy8Iq8WbTV2/t2HepmJZdjW6ua8P8Zbl6dRhL570KRkcCZBWtWQUl/YzMQyxe9nb08d29o8WI2GsgsWRRF8Ylcbg4FE0d64pJ8HE/MmmYyqL2ga3VbqXRak1C1GJiNp1jW6cJgNGA0KFyaiuCx60e9DW5tpcM0P1XfW2TEZFXrqndy9vp47epennFF4ZuLpXEn+tMvn4Mt39mBQBL9Z5bmqnmSEEH8spfxPi722HAgh/qOU8k+EEH9BmbCYlPK3Fzp+dq1M/vc/Bv54qe3Y2urh5HAIq8nAljYPjW4r8bRaMriCzubQpMZUNI3PaV42KyiczDIcTPDglibSqkaDy0prjZ3RUBIh9JDNT9/XxQ/MRoVun2PBGOvWVg8vnZ9kQ7ObSKp8jUEBUkpiaZUtLZ55q5JYWuXkcIiUqtFSY+cj21vmTUJWo0IgniGUzLBZqzxwjwQTJDIqSF2CZ3aH7W100j8dI61qZROOBkWUhBcURfBYntE2HEhwZixCb4OTsxNRdnfpYYNL/ig/O6nfswc2NxWvV25nsRAKLCfQd2KvXPCjKLpdwt6eWkZCKZxmI31T8eJ3MhZKcmU6zsZmNyPBKDOxDDs7vCX3bq72k6KIkgmmbyrGT07ozKD7N62u1/y1xB29Ps6OR1njc5DK5rCaDAwHEgwFEmxp8fAbd63hoj/Kvx4epjtf8FhAPK2SzWl47Wbs+XsRTWV58YyfqWiK9c1uPn5L+5LFI+dCk3o+pqfeSU9+7N3e7mV7u5dsTuOXZyaIp1V2dtQQS2U5NhSkxWOdt2OoVM0fSmQ4Mxahs87OLR01pLI5pmPpBft5PK3yt2/0EUxkaXRb+bXbu7EYDbTV2NjS5qG1xsabl/SC3c0tbl4668duNuC1meapGgTjGV44O0EkmcXntBTzsuubXPicFsLJLEo+73xsKITNtHCiv9Izs9TF9VK+tfuBuRPKQ2VeWw7O5f+/oS5SF/L2pwZFsLe7jm8f0jV/nFYjvQ1O6p1WhgIJtrV5eO3CJNOxDFtaPdy/TFG850+PMxJIcnw4yPZ2L/3TcT67t5OP79Kpr0cHg8X31tjNJTTFcnjvSoCh6TinhsP0T8b46M5WzEaFE0Mh1jY4SyaoVy9M8v5wmDqnLjY4m9v/8jk/p0bCnB4Ns6PDSzSVnUchzWl6Qr1d2nFWkEXJ5jR+dHyUS5MxTo6EaPHY2NHmYSauly0d6PXx6LYW3u7TTc0KfuSLIZXN8aPjo/oKcDLKhiY3F/wxbuuuI61eHZgzi5lzVImOOjttXjvv9QcYCSZx28x01Ng5NRrm0JUZdnfV8sCWJn6Yb9OJ4SAZVV8rlbt3/kiKo4NBuuoc81h2mVntT6s5PijY1VlLTtMN6s6MRXhqdzs/Oj6Kqkl951dr593+GSxGhctTMb5xcIDb1/rw2kx85/Aw2ZzGQ1uai330kj/Glek4QghqHeYVTzCg15r80zsDbGl1k1ElaxocbGhyMxZKcjz/jBRYboeuBHCYjURSKsFEpiI9fjaeOzWBP5Li+FCQz+3r4rtHhommVPatqauYF3n5/CTnx6OEklkcFiOqpuG1m/jE7nYA3FZTyQ7/E7va+HffOcE/vTPAk7va+fSeq3Tmn58a58xomIFAgl3tXl44o3vfXPJHuXt9Az8+MYYi9MmjEAq2WwzXnE276DcnhPhN9BxHjxDi5Kw/uYC3V6MRUsqf5v//p/w1HVLK+fvu8u37HPB5wAD8j8Cz6JNWRkr54aW0w5Rf0RsUQSytEk/nmIqmueSPEU2qTEZTNHtsjIWSRT2g8XByKZcovZ5BAQEGg4JAYJ7DVNnR7iWnSYwGUZUMyiV/DH80TSyVRSIZDye5MBEllMhyeTJGT72jmMQczVOOZ2IZUnPCNSaDgiJ09z9FiOJ9mQ2P3cQj21qYCKfYUYGxJdB3fTOxNAKBqkleuTCJlKJ4DrvZwJEBfTK1mQwc6F08Ka8IgcEgIEfx8xTu3aZmt04mkPrObrUwHk4SS6lkchqjoQTNHmuxKrzGEeNg3wwmgyCj6uw3NaeHXsrdu5fO+ZmMpLno13XmZu/WNjS5SGZzqDnJjvbrX7O1knBa4VmIpVWiqSxGg4Kq5QgmMkyEU4wEk+SkJBDPYFAEkeQ4H9rYWJxYx2axoWodZtY1Oomlc+ypIPm/VBTIIS+dnaTJY+XyZIxun4OXzvmZiWWKv1uMhmKNikAUjQoXQ4FpZlAUYplsUSNvLFR5jDAbBN31eiFlOSLBXBwaCHB8WH9efnpyrGSSMRsU6l0WjAbBgV4fJ0fCxDM5jAaF8XAqTwvXFz6zj7nWqGZ58C/AL4D/i6uV9QDR5bpOVoIQYh/wdXSnzA4hxHbgN6SUX6nw/lbgLinlffnfu4AXpZTPLOf6D2xu5GKdg0aPhXqnha2tHuwmA9PWNIqA+vxqptFj5Ravjf6pWFnZ+mrx8NZmLvqjPLSlkUgyh9du4q9fu4zbZuLJXe2YjUrV509mcuxfU8upUSM5KVnT4GJHu5epaJpQIovbZix5WO5eV8+7/TN0+xzzFG4/tLGR9ho7D21pYjiY4NRwiGA8w4Obm3QmSv48axucCwqKGg0KT+1uZ0OTixfP+nFaDNy/sYkX8zazLosxz2zRhTFrHNXpwJmNCp+4pZWLkzGe3tPBVDRNR62dVy/4OTceZUe7l/1rlm7XnFE1khkVTxna6V3rGggnde/3A2t97OyowWYyEE5mOTsWwWU18dm9HQwHk6ypd+ZZfhk2lAlv1tjNTEbSOC3GeRRYIfTixA8i9q2pQ81Jap1mGtwWnryllYFAgia3lR8eH6Wtxka3z4E/miaZyeG1m2mrsbGp2UVK1UqUqLt8DnZ31XJiOFQ04isgm9PzJUut9rebjXTW2WlyW5iIpHFZjRgVBa/dzEwsg8tqxJRniezrrsNmVuisdVZNQ35kWwuXJqO01dipdZi5rbuWiXCK29fqFslavs3Z/A77ynScvqk4TouRz+3rmmeCVg7ttXadJp/Msn1OqOuR7c1cntQt131OCz31TiYiOglFEToBwagI7lzno28qjttqqkoCR0rJL05PMDiT4I5e35Jr8xadZKSUBffKTwshDOg2yUbAKYRwSimHlnTFhfE14AHy8vxSyveFEHcu8P4HAIMQ4mXgbP74e4QQbwLPSin/bCkXt8wqRjrYN8Op0TAtXiuP39KKQLc+nYymaPXaMBqUFcuzW00GLEYDf/riBRKZHOsbnQzOJImkslhNhnkV45VQsETtqXfw1XvX0ui2FsNOH9nazGgoSaPbWhK/ba+1V+xgZqNCb6OTbx8a4vnTepzaYlI4PRqms87Bp26bbz1bCbUOM3evbygpcKt3WwjEM7x4zp+XR2+gzmkuidMvBFXV+JMXLjI0k+DeDQ08sr2Ff353kHf7A2xsdnF8KLTkSSaUyPD7PzhJKJnlmT2dPDLHy6ajzs5X7+3lGwcH+H9evkyTx8offmQjG5vdeGwmXa03zxYDvcCw0qDxwOYmtrR48LnMq1olfqPR4LJy+1ofPzg2wumRMGajLttyoNfHZ/d2kszmaPHayKga4+EkfVMx/u7NK7TV2HhyV9u83OZEOIXbauL94TB3r2tAUQTTsTTfPTKMlLoVRjUDcwEuq5EnbmlDzWmMhXTfGYMieHhLE6OhJA15IkIwkeEPnj1FMJ7h6T0dPLYABXg2bGZD8fsHirTfUCLD3791hayqcWCtj3fyxB6LUSnu4qo1PWyrsfNfntjKtw8NYzXpyhKF3IndrBeTfvPdQQZm4qytd/LgluZiqPHR7S3E0yrfPjREPJ3j4a3Vyf5H02qxBODEcGjJk0zVPVwI8VX0ivoXgZ/n//1sSVerAlLK4TkvLRSYbgTM+Z1MAt2PZh1wD/AhIcS2cgeVc8aci8t5Z8dCkWGD24rNbKCzzrGqA8NFvx7OyuRZUrF0FrvZsCRZ7oL3xsC0znqandcwGpR5r1WDwg5IEZBSc6SyGgg9cRqMr0wKrsFlJZXVSGc1sjlJJJWteoIBCCQyDOXrSk6OhBicjpPNSWodpqJvxlJx0R8lmMgiJRyZlQubi5MjYTSpS52MhpLs7qrBazfT7XPgrFLe3aAIOursK5aDvxkxOKPbAUfTatEdtW8yRo3DXJwQzEa9Txa+w5FgUu9fc7Cl1YMQuhNmYfc8HEiQzmpkVG3ZtUVGg0JHnb0Ypiw8I4XfL0/GCMQzSODoUOW+UC1GgkmSmRyqJjk2HCSj6u13WfVi0NYaGzVLUHM35K3UNanvhmbj8mSMRCanh8FVjf7pUofaiUiKaEpFk5L+6aoyEjjNRrp9DhQhlvVsLaWX/3tgvZRyZslXqR7DQoj9gBRCmIHf5iopoBzCQEFc8xVgdyGXI4T4GbAFODn3oNnFmFu275THhoJsb/OWJL/3dtfy9uVpvHYTZ8cibGhyr7qsP8CtXbUcGwwSSWV5Zm8X4WSG/ql4xSr9OZ+D06MRHBYjk5HYsumK5dDitbGu0UXhjtS7LGRzGk0eKw0LOHYmMvrgslgycV2jk0v+KKom2dysr4wuTESJpVW2t3kWnMgb3Fbu6PVxZizCY9tb2dziYTCQoK3GxsNbm3BYFv+e4mmV0VCSVq+eY8uqknWNLgLx9IKOnI9sa+b7R0fo8jnobdBFMHe0e39ldceqgZS6JH2908LGFr2iHykJ2k0E4hl2dZXf8e/pqeO9/hnWNDjLFinevtbH/jV1Jfd2fZOLS5MxNE2uSJpoLlJZXS7f57Swvc3D1lYP45EUj62CavfaBicXJqKk1Bx39tZzsG8GTUoe2tqMy2Lk/ESUU6Nhts0ag06N6FL/W1rd8/pWZ52dbp+DWFot2TmBPp4UikhbvVa2tng4MhCgxmFmTb2Tjlo7PfUOIimVHVXaESiK4PGdrYt69FTCUiaZYfRB/Vriv0cvxmwFRoAXgN9a4P3vAL+e/3lH/pgCbgf+YrELhpNZXr8wRUbVSoQTextdrKl38tdv9HFlOsHFWdW7q4kmj5Vn9nVyeTJGo9vK9nYvd66r7tgzYxFeOufn+JBeEa+vWlbuzBeMZzg8EKCzzl7RgroSoimVn5wY4zN7OhaU7rebjUUGDegr1OdO6dTjVDZX4olRDl+9t1Q4dF9PHRf8UUJJtapJJpZWefboCJ/d18mzx3TL3W1tnpI2XfJH6Z+Os7PDW6xJmBv6g4WN0m52LLWuphyiqSxvXZpGCPjcvi4+dVsH58YjPH96ArvZSCKdYzKa4vhQiB6fo2hBsbHZvaiUztx7azcbeWrWd7RS9E3FuDwZI5jIMB5KFT/DHz6yadWuUTBDK2B2mLp/Ksbzp/XK+mxOclt3LclsjpfO+ZFScmYsTIPbwr4eX3EithgNFZmmOj376gLv5XN+To6EEQKe3tNBg8u6oALAQlhuP1/KJNMPvCaE+DmlhmJ/uqwrl4GUchq96r/a958QQiSFEK8B08A3hBBH8+17S0r5XrXnqlQZW3j9GoiTAnoS8+cnx5mJpXnu1Dif29dVda6n0DbdEbLyZ1gqXr0wyeBMnJ+fGmd3Zw0Pba2scFwOizlUVjqm3M/VQErJz06OMRZK8tP3x/jqvWvnCS4udE29rRJFCDKqxsvn/MQzKlem4xgVhalommeuwQLjVwUpVePMWJiOWnvxOZndFxUheOGMn6lomvPjUX6j1r4qhcwrhZp/9gpKz41uK7omw/WDP5LizFgYr800b4wJJbNMxzLUuywIIbgnv7iRUvLaxSkCsQx3ra9f8Nmc+z3cCCxlkhnK/zPn/60aKhVhFrBQMaaU8nfnvPSTpVzbazfzoY2NZWONiiJ4clcbgzMJehuvDZfcIPRivKODASxGA29cnCoKXC4G3SsCDqz1IQSrxnd3WU1EUipT0TTj4RTv9s9Ubfblspr42M7WiqoEldBWY+exHXpicnPL0hKLQghcVhNXpqexW4y8cn5y0UnGZdUZfF67mSd3tTESTLKx2cVFf5R5Frp4AAAgAElEQVTzE1E0TRJK6EVt/7898sKQUlLn0NWIC0ys9U0uJJKcJtnU7KZ/OsZUNI3dbKiaEnytYcgXwkaSWXZ21LCu0YnPaVmyCOdKMDCToNljQ81pRS8km8nAg1uaihEFTYJ7Vh8cCSY5kXcGfa8/sGC04UCvjxqHmVq7eUkLxdWEkEuUdb8mjRDi87N+/SPm2CYX6meuBXw+n+zq6rpWp18WsjlZ4iHvshoZGBjgZmtnAdGUqlf1A8nAxHVt51Q0rdejGJQlSa6v9v2cjqWLfvCr+TCvdjsjySzJPCXY57SsisHWzdw3Z6NSO7M5rUi0cViMq1L4uRJcz/uZzOSI5OtmPDbTknaYR48elVLKRVlQVU8yQohXKS/5cm/VraruOsellDtX85wLYffu3fLIkeUJDRwZCHBoIMCGJhf3blh5LqSAiXCKbx/SmeG3dNZw17p6du/ezVLaWWjbxiY392xY2B9jpXj1wiQnhkIIAf/8+08vqZ2VkM1p/PjEGDOxNA9sbirro5HTJH/zRh/prEaj28rTeyp46ZbBUu/nYvj6W1eIJLO4rMYSY7JqkVE1fnRilFAiw4Obm4v6VqvdzhfOTHBmLIIQ8Pl9XctetUsp+eWZCa5MJ/j6735yVdt4rVDpXo6Gknz3sE5qvbWrls46O784PY7XZuajO1uqputf63aCHuL78YkxpmNp7t/UuGS5pLk4NRLmpXzd2oNbmpZkNyGEOCql3L3Y+5YyZc8OS1mBjwPqEo6vFjd+a1Uljg+FSGc13h8Oc0dvfdVc98XQ5LHy2I4WwsnssqvWC207MRzijl7fNa3HOLDWh8dmwmsz8c+rdM6JcIrhvOjiydFw2UnGMCucuZhvxrXGEztbuVwFq64SxsNJRvOe8qfHwosq9S4Xd62vp85pwec0rygsFEurRSuGa4Hr6ZPT6rXx6PYWoin9eXvpnJ94Okc8nWQslFoVtfXVgj+aLoqRnhoNr3iS0dlren6yXOHwaqDqSUZKeXTOS28LIV4v++Z/I9jc4ubQQID1ja5Vm2ASGZUXz+oriwc2Ny37vIW2bWhyVT3BaJrk5fOTBBMZ7t3QUHXYx2RQVr1KvcFtocFtIRDLsHGBzt/gspZVoy2HoZkE7/RNr8oAPhVN8+qFSWrtZu7d0ECNw8ytjuWrPzS6rfhcFsKJzDWdMC1Gw6LEknPjEd4fDrGpxT2PIluA02Kkp97BwPQH1wfnjYtTjIeT3NFbX6Jcsb7JzeXJGB6biWbPyk0JVxP1TguNbiszsXTVu46DfTMMzsTZv8Y3r+8LIVbNXbcSlqLCPPsJUoBd6NbIK4YQIsrVHYxdCFFwthSAlFLelL60+9f62DeHx79SnB6NFD1TzoxFlq0qsJy2DQcTnB7VWeqHrwR4aIWGbCuBxWjgM3s6l83NL4e3Lk/jj6QYX6LpUjkcHggwGtR3H+ubXFXJcywEq8nAZ/eu7uddLl67MEUqm8MfSbO11VO2PUIIPrpDr5345g1o40oxFU0XBWjf6ZvhyVkU426fg9+6Z+0N/x7KwWxUeHpPR9X9JJLKFm2u37o8zdN11YeUVwtLWSYfRVdJPgocBH4H+NJCBwghWoQQx4QQKSGEMf/anwkh3hRC/Pmst/498D7wD1JKY35S+TpwAviHWeebd2y1r10rrHZHbPboKtBGRax4FbXUttU5LUX/mbaaaxOuWSpW8/625SXb65wrZw8VzuWwGFaVjXQzDGyFz9ZWY1u0PTdDe5cDt81YtMJoK2P+dbN/rmrbZzcZiv293Oe8HlhKuKx7GecP8P+x995hcmXneefv3LqVQ6fqnAE0MgYZMwAmMQxnSJEUszikSCqQVFjbki177V3ts5a4a6+8srWW1mtLlmRJFnMUk8gZcTiBkzCIg5w756ruyumGs3/cqouu7qru6gDMiNb7PHjQFW7VqXvPPeH73u994W3AtwCEEAcAv5TyISHEfxFCHMaSjbmrz0kpT66h7StCSsl8RqPO69wQlg5YhVofPdzNzdnUqgUA19u2gFvlU8f6yOvmsl40i6EbJpcmEtRvsCJCXjfIFcyKSgszSUvVd3tbsGZ5loe3NrOns46AR+WP1tm2+7rqi3I9yoYnhk1TEstq1K/iGmwEZpN5RuczPLK1mQe3hAkt+n7dMEnm9HtK8b1bcKsOfv6BXjIFvWYBTIB4RsPjWnrNpZRcnkzgdChsbV1/uLMkW7SjLbSiZXO6qAi/WOgWLMmcJ4/0kHoDr9tqwmVO4NeAkmDlc8CfSCmrCllJKXNAbsGsexT4UfHvHwEPAOY9eO6uTDJPXZriymSSjnoPP3d4Y7ahw9E0f/HSEC6HwuujcduF7l61zeN0VKQxpvM6p4fnaQ15luQMXrwZ4WyRXbZRyBR0vvDqCKm8zqPbmsu8zAu6yddOWT7qt2fTvG9fB6eG53E6LAXj5VZ5673RSvYJO9pDtC6jaLAefPf8BLdn0/SFq+8mz4/FSOZ0DvU1bMgkpxsmXzs9Sl4zuTGdXNJnDFPy5ZOjzCbz7OuuXzdj8V4m9qvBpSq41Mr94cJYnERO42Bvg30/nB6e54XrswQ9Kh+/v7ds8H99LM6zV2cAUPaKZdXJV4KU8PXTY0V9tjTv319dKHd0LsO3zo4jgA8d6sLvVjk7EqOz3mM7qzqLWmdvFFazVP4vWHmY/1z8d7D43GpQD5TyLXGg4R49V4ZaBDJrwViRDTQZz6FvgEFWXjf4zrkJhqNpbs6kbP+LN0Pbnrs2y+nhef72gqVOsBClZm5kydVcumB79pR+i/19SErUe9OUnBuN8cqtKC9cj3B16u4xngD+5uwEZ0ditnvl3UDp947NVfYhGYlmeObKDK8NzvHq7Y1x25DcuX6Vuktet7yVwMrd/TRjdC7Dj65M89rgnG2FDpbLK1h1YbFsuYCtYd7p/Ou5b8G6FqZZ6t/Lv3cynsMwLbvmyXiOZ65Mc2Z4nu+dn7TrX95orIbCfFhKuXfB4x8LIV5f5ffFgFISP1R8bNyD58qwUCDz0KFDa+4Rj2xttu1N10MRzusGkVSBsN+FU1XY1hpEUQQfPNC15jDcw1ubObPOtqXyOqmcTludB4/T+gxVWWpidnxLmIBHpcHnrMlcrRZ01nvZ211HJFXg/k3lrC23atkgjBR91F8fi9uJ0LstV+JxKpa98AohjGpI5/UVVacf3dbMhbE4uzvrqFSF7HYqRXtuywZ7JRimZCqRIxxwVd31OB0KHzjQyXA0U5G15HOpHN8SZjBiOZD+NKP8/N45X0c3Wc6rzUE3bYt2sfu761GEdR57mywL9baiy+5qoQh4/4FOxuazKzK/dneGmIxnEUKwsz3EdJHU4nQo61ZWiGc18pqxrAZhLVjNJGMIITZLKW8BCCE2sbwMfyW8AvwK8FXg7cBfYtXa3O3n7goGWoO22N9aIaXkr14eYjia4WBvAz93qIvzY5ZPeNs6Ev9bW4MrxoYLuslgJE1byLMk75HMafz1q8PkNZNjm5t4ZGszHfVemgIuQkX3vnhGI5rO09fk53DfxrgXliCEWLbAtaPeS3udhz978Taj0SydDV7eubud7sbKg/dkPEumYLAp7F91UtcwJcPRNE0BNx86aE1ufQsscWtl+qTzOv/luVvEMgXeubud41VcQHd11C0rrdMa8vCRQ92k8jpbmqvXcGQKOpPxHCcHo1wYT9DX5OPTD22q2tb2Ou+yk9+R/sY1m/TVIrR5r1CtL8wWzdR6mnz2+R1YEPZqKZ73SlAUwf6eBqSUfP7VYSKpApua/SuKUVbqO5phrXsfqEGJ3edSy77j7Ttb6W3y41IFo3NZNjevzZokmsrzxRMj6Kbk7Tta2dNVd09UmP8F8KwQ4jYWtbgX+MXlDijmcX4A7AWeAv5XrBzNT4DXpZSvFd9315/bSOiGyZXJJA1+57pZWAXd5IcXp0hkNQZnU5wfjXFpMoHf5eCJPe04hEB1rP7CpvI6N2dS9Db6qsZjn7o0xc2ZFF6Xg1863l9GNEjkdG7NpJhO5LkykWA4muEDBzrtDpvJ63zue5eYSxc4trmJkNe5qgRqJQxH06TyOjva7viHVMMrt6Jcn07wrbPjFDST/rCfLS0BvnJqhIJusq0txBO72wi4VabiOb5y0jK6enhrmIO9qxson706w4XxOG6nwi8e62dXh3XDPXt1hteG5tB0k12dIba3hrgxm2JfV33FWpzJeJbTw/OYUhK4OUtLyI0pKctx5TSDH1ycRDckj++uXiHQUe/lR5en+dsLk+zvsVQhbkwnefV2lFhGY6A1wEQsSzyr8/z1Wdyqwuhcll841odE8NSlKXKawTt2tVUkedyaTaEZJttag296ptVqMBXP8ZcvDXFrNsW+7np+9ZHNqA6FmUSOL702iiklj2xrZlPYz9kRyxF2JduN0bkM8azGjvYQUkrmin5LkdTynlAXx+P8+OoMTofA71LpbvLxlm0tzKXzfO3U2Koq8KWUPHdtlqtTCZJZjZduRWn0u3jv3g7eX6P54ULMZzT0YshuJpnjW2eTjESzPLw1XJYfrQWrYZc9I4QYALZhTTJXpZT5FY7RsHYTC7FEGVlK+Rt3+7lakNOMsnDLxfE4s6k8h/say/SMfnIjwrnRGIoQfOJo76o0sxbDlJaIoMRSXc0U6xM8qsKXToxwdHNTzYld05S8eDOCImAwkiGSsgQJP/PQpoqDdklvLK+Z6KaJa0GKztIlhni2gNfpYTyWZS5dsLfOk/Ec16eTlmrx1Rnu729iImZt1fO6gaooFUMFY/MZO3G+0NVwPJblm2fGASvmvdwqLlPQefV2FM0wiWU0PKrCTDLP05emMaXJeCyHz6VyeSLBkf5GMgXdzjek86vdfGPHtvOaSV438LoczCbznBuNcXUygaoIXA6FG9MpnA5LtfmXH1xKxnQ5HDgUUKTA51T54okRIuk8H9jfZSfSr00l7QLHUs1SJUgpuTgRR0q4NBHn4YEwP7g4xZXJBMmcjmaYZAoGfrdKyKPaxnuKonB1KmEb3b1eVIQ4MxKjoJsc6mtgZC7Dd85NIKUkPqBxfzE8dms2xXA0zd6uepreILHF9SJT0JmIZUnmrEXYUDTNlpYgqbxl5CWlJJLMMxHLcuL2HMmcRoPfVTUqMJ3I8Y0zY0gJsYxGa8hNvc+J0yF4cMvy/k5XJhMYpuT1McsCIZousHdB8WsiW3tO5Ztnx/jLl4bQDElBN8gWDAq6ybXpteUoN4X9HOhtIJ3X2dkR4suvWbI7L92MMJdeXcHwipOMEOLnsTTO/ro4qZwvPv8ZIURaSvnFNf2KNxm+f36S69NJdnaEeHxXG7PJvF15n8kbttJpXjf48dUZbs+mGGgNoK+UmVsBHqeDR7c1c206id/loN7rpLfRx0wyh9+tMhXPMtBa22rmf//ORZ67OkNrnYd93fUE3E704gRWCe/Y2ca50RjdjUtdGgMelTqPk9aQh0a/i03N/rKBpc7rxKU6yGkmnfUehAC/SyWnmfzxc7cJeFSePNK95HO/+/okOc3g5kyKX3lks/28YdxppW5IS8vr7DiRtKVdtlCuxaM6cDkURqJp7uusJ5HTcKkKBcPA6RB0NXjt/8Hy2HhkWzPpvL6msN5btrVwcmiOjnqvvVsLeZ343Q7imQJTiTyaabK3s554VkMzTOIZbUkI8vJkgp5GH+mCwY6OIH/x0hCGKXn++qw9yXTUe3GpCqYp6V5mlyyExaS7OBFnf7fFqLNUkJ2YUhLyOnnnnnZG5jIc39zEX7w0SDxTYCJmqf66VAXdkHQ1eLkxk+KF6xYBRhEWA09KyZWpJFOJHJouOdTXwPden8SUkql4folO3JuBLVYLNjUH6Av7uTWbor3OQ3NRLaI/7OeB/kaeujzF62MxAm6VG9NJFEVwcnDOnmQSOY3zo3G6Grz0hf3WArHYdVN5jVMX5pASOhu8KypL7O2uJ5ousLM9hADCARdBj4rfrbK/p549nXV84/QYU4kcj+1srTrRzSbzvHwzSrZgkMzpCAFup4PuRi/v3rM20zVFETyy1ZokpZRsawsyHM0wFc8yFJm0+0stqGUn81vcoS0vxFeAZ4GfikmmtLK7OZPi8V1W8s/pEGiGxO++s5OwfMdV2uo8dDf6apY0qQYhBL/26Bb+/CeD5DQDt1Ph9z64h8+/OoLqEBzsaeDolqY7FanL4PpUClls49sfa0Ei2NQcqJp8bPC7qlJRcwWrLT2NPh7Y1MQ7dpWHbrwuB48MhMlqJvt66jm+JYzLofD7uoEpJYmsxnQiT3+4vIv53Q5ymrGE09/T5OPxXW2kC5Zj31TcqhMAS/lg4SRTMKydV2vIQ2eDl456L+dGYraDX6mIdeGudD2yNw1+15Lf73E6eNv2Fmv3ojrwuVS2tAQ4NxbHIaxw1EcOdy86RqE56KFNERzqbeDk0DyxTIEtC35bc9DNpx/qt5LOK5AYHt7azMNb76yWP3yoi0cSzfZA5XQo7GgP8fSlKeYy1qr4u+cn+fVHt/DLD/ZjSonPpdo2yKXfNdAS4KGBMFOJHG0hDzdnkty/qRGPUynujt54L5j1oM7r5JGtLSiKJasP1n24q6uOVwcttp7X6WBvdz1CUBYGfvrSNKNzGc6MCD79UD8d9V7euaeNRFZnZ3uQwUiGnGbUpOS8MG+ayut4nQ4ciiDgVnl0WwvTidwdnbKxeNVJxuVQ6G7wIYCZZJ6dxRDbrz66ed0hbLDOzbuK6h+f+94lRuezK9buLEQtk4xDSrlkzyWlTBRzLj8VOLaliQtjcfb1WNvVoFulvc7L6NwdL5l4RuOZqzOMzmfpbfLxtg1SXvY4HbTWeRidy6A6FFpDHj55rJdE1ko8rpSfKOHd97Xz3fMTBNwOxmI5Ht/dZifpwQoHfvvcOOm8wbvva1+WNaI6FLxOFbcqKxaF+t0qH3ugl9lknoGWgJ2r8bpUmgIu6rxOeycxGEnzH390HY+q8I/fOkC6YNBTQYZloZ1ua8hDe53HXukthCIELtWBKa12vG1HK31hP05FuWvCkjdnUrx6O8qmsJ9jRdfOrkYfezrrSBd0trYGOdjXwGgsS14zK56zhwaaaavz0OBz0eB385tvH2B0LktPo49bsyl+fGWGtjoP79rTvmpWUjyr8dSlKdyqskTzrq/Jj9fpQDNNe7JeOIH1NPn40MEu8rpp13cc7m8iq5ncmk1x/6YmnA6Fjx7pYTqRI+x38flXhzGl5D0bYE98r5DIanzptRG6G3xkCwYDrcGy6xTyONnXXc9QNM3xLWEa/S6mE/mympfS+x2KsE3AFnoXfexID9PJ1YtqCuArJ0fRFvDHm/wuuhq8TCdyy7LM6nxOPnZ/D3OZAgXd5NTQPFtbg2UTTDKn8dSlaVRF8MTutqoLmJNDc5wZnmd3Z11Fd9q3bW8lr62uWLuWScYphPBLKdMLnxRCBNlg87I3ClJKgh6Vfd31jM5lEFgD8ndfn6De5+TU0Dyd+3xcn0kSz2j0h/08OBCuqAy8VvzMnnZuzaborPeiOpQi06fye2/OJBFC0N3g4/nrswzOpnA4BPu6G9jbXc+Pr84wNp/l4ljcHhABhqJpO29yaSKx7CTT6HfxkcNdzKULVQ3AwgH3EhFNp0PwyaN9Zc89dXGK8fkMM8k8hgn/1wf3oBuSb5weQzdNntjdvqTTulRrUKsEl6rwkUNdTMZz9gCwUYZt1fDyrQjRVIGxuQw3Z1L43Srv2tPOJ4/18cljffb7fu5Qd1m7FsKhiLJz6XU6EAKmEjnOjcRsskY0lV/22miGyQ8uTpHMabxjZxvNQTcXxuK2ivPNmVTZoLS1LcjnfnY3Wc1gU9jHxaKX/UL2YiXttcU7pTqvkzqvkzMj83bNzN2uS9pIZDWDqXiOTN5ikG1pWXr/vmV7C1JKnrkyw6u3ozyytaVsInp8VytXGrykCjrxrLZksK7zOSsqVKyEW7MpphPlmnqqQ+HDh7qJZzRG5jKk8nrFHVKmoHNmZB636uChgTC7Oup46tIUn391mLfvaKWtzsOF8bitan51Ksm+7srCp6eG5slpBieH5jhWQfvw2OYmwgE3HqfCv6zxt9Uyyfw58HUhxK9JKYcAhBB9wP9XfO3vPU4Nz/PijYglsd7o4/ZsGo9TQTNNrkwmOFAUqfQVE74tIXcZhXUj4HU5alJDvTQR5+lLVq5oU7Of27NpTg7N0dXgJZUz+Nj9PbhUhXhWY3Q+w6WJOMmcTn/YT2e9l6BHJacZNVUkr0RprRUHe+v56qkRoqk8Z0bn+NMXbtEa8jIylwYElybiHNtcmc5bDU0B9z1NPvc2+YmmCmimJJLKE00XuDGTxOdSiWUK3NdVj0tVVtWuC+NxvnF6jPmMxoNbmlCEoCW0sjPjcDTNrWJ499xojMd2tqIZBtOJHJ1FavdCSCmZTeXIFkwGIymuTCZxKIJPHe1b04DY1+TnpGsOQ0o2L0OhfrPBoQiEgBszSa5Mmjx/fZb37u3gSH9jWe4wkipwoUi6ODEYLdsdu1UHM8k8lyYSnB2O8anjfWXRgrWip9FHwK1SqFAJ+7XToyRzOuExN08e7ua7r08Sz2p8+GAXfo/KmeGYbbvQGvIQ9KhcK07+p4bnePd9HXQ3+DitzKMogo766guY7e1Bzo3E2N4WqiqMulqV8BUnGSnlvxdCpIDnhRABLNJRGvg9KeVqK/7flNB068L6nFYiNxxws7O9jksTCdvjfXA2xXPXZgkHXDQH3Ku2F66EUgK8o967IkNNMySzybzNoQcr0S6EtevwOh1savbTHHTzyw/289evDDMRy/F3V6bZ0Rbi9PA8v/rIZn75QSvev1wIrqCbXJ9OWnL768w5gRV6eXxXG39zbpxUTue1wXm2tFgJcp9btePiq8FcusBELMuWlsA98Yt/ZGszvU0+ZpM5Xr01h8MhcDoUvvu6VfmfzOll+a3JeJb5tMa2tmDV0Fe2oHN92lJ2GJ7L8M8e21ZTmKw15MHvdpAtmPSHfYzOZTg3GifgchD0qPb5sJSUc2QKBi9cjwAgkIDAlHLNpJVGv4vPPrxpxX70ZkNTwM2nH9rE73z7Irdm0yRyGp31XvK6yeMLcm51XidNAReDs2laKuTySvegIWUZYWUt0AyTa1NJWhbk4hbmX6WU9vdpusl3Xp/gC8V8baag8+tv2WKPRQ5F2HVsIa+TZE6zw3bdjaUaKXCrCtemknidjiXh5bdsa+HhgeYN02KEGinMUso/Bv64OMmISjkaIcSn7qZN8t3E4f5Gy+/b5WAqkQMkD2xuRCI5MzxPTjdIFfSiuc/a6lYq4QcXJxmKZEhkNQ71NXC4v5GWoId4VuPaVJK+Jp8dNplL5/nCiWHev7+Th7eGEUKwv7ueA71WAZjHaXmnD0XStNV5qPM6SeV13A4HAuz4sRCiosZYpqBzaSJBe52HV29FeeFGhAafk//5ie3FjulYV8d7154OxovU0e4GL363yp7OEOfGYvzthUmSOb0sNFMNhmmRCr5ycpScZnB9OskHDnQxOpex2YGVdl/Xp5Ok8jr3ddbVXJx2czrJ1ekkD2xqQjck3z47gSklj25rZldHHbFswa4ML53TiViWyxMJzo7OoyoKM8kcj24rJ1cYpmR0LsO2thADrQHyulXnU+n8mhKeuzZDnddp1ycEPU5+6Xg/umld97H5DFnN4Px4nPmshlNV+Pj9vXzl5Chz6QJuVdiFdA9sCmNKSTKvMTqfpd7nWtN1rdaPSlht8eW9KNYUWCKwB3sbcaoKQ5E016eSzKULNHid7O6qw+dScakKA80BpuI5LozH2NddX7bje8v2Zhp8TlpCnnVrgj1zZYYrRRr8Lz7YvyQcdmYkRnudB9OUTCfztgdOo99lJ9+3tQVp9LtwORTqfE4KusnPHerCoShlCfrS3yUNNoAPHexaEirdyAkGVleMiZQytczLvwEVVTDe9HA6FO7f1MRwNEO6YKAZkrxu8sjWZhRh1cX86PKMFdJQlA0zlSroJjPJHC/eiHB9OslELMdnHt7E985PMJPIc2pY4Vce3mxfdCmtFfPCYsKFO6CvnRplbD5LOODiw4e6GY5mCHlUJuI5ept8y3aepy9NMxhJoyqC8ViG6USOmWKnvjqVpNHv4skjPWtWht7TVcdvvWMbihC2JplpSl65HeXSeIJoqkBTwLVspbtumHz55CiTsSwzyTwd9V4KuomUku+8PmErGCy2Px6dy/D985OAtbqvJTSXLej8u6euksjqnBqa58kjPbYmVTpv4FIVWoIe3r+/k1hGY1dHiJxm8M0zY8QyGsNzGXa2h8jrS3cLT12a4tpUkqBH5Z++fYCZZIHeKoSFdF7j7IiljBQOuO0BQXUolMqn3KqDgmaQ000ciiCvmZimJJ7VmE7kmIhl2d/TYBf33Z5NceLcHJcnkmiGueFqDW92vHdfB9vag5wZnufLr41wYjDKy7ciPHmkl19+sB+HIojndJwOBc2wJuSFk4zPpZblOteDvG7VbVXaFQ1F0rxwfRYpJRPxHHnNYD5ToMHnpDngLrtXSruZWKbAl0+OUtBN3n1fe0XnzNJ3AhXDcxuNVU0yK+Dvz765Cu7f1MjfnB1nV0edHWf1OB1ohlUwKYRYs4lYJTyxq52RaJqAW7WLwQBE8VSKBafU57IcDStVABd0k6l4jpFo2u6MbvXOZNhev3JeZeGq9FBvI3ldojoE58diOBSFuXSBWLaw6vDZZDzLUCTDzo4QvYvyWIYp2TwWYCaZp73IrmvwucqKNBcinbdEGlWHUmSwqTy8tRkhBD6Xg4JurkgdFRW6aaagE0kW0E2TeFZjd2cduiHJFqwbMJHVGGgJcLivkZxmcKivgbxucH4sToPPyd5iEtWQBkII/G6VvV11HOhpsPN5CzGfsSrBU3kdj1NlW1v10Md8wQMAACAASURBVGtpB1rQDeJZjRIp+tZsilROZ3dnHYmcRp3Pxc72IKaEhwbCKIpFO/3iiWGbFFGS7l8Ya/97f9OuAX63yoGeBiLJPIpiBRANUzI4m2I+kycc8HB8SxNCQIPPVbOqRzyrcXkiQV/Yt2wu88pkAlNKdraHePuOVs76Y1b0YVF+zOdyoAiBISVuVaE54EYIK1zqdTq4MB7jYG9D2eJxKpEjW7AmkdfHYkwn8oS8Kl0NPptcc7ivEUdR5+9uE2ZgYyeZDdTgfWNwZmQeU1pFc8e2NOF1Org4niCWKeBSlapWtGtFnc/J1rYQF8YTSCTv2GVRot+zt53r00l6Gu+EUIIeZ9Vw0t+cHWc8luXSZAKv04GxBhXYd+xs4/Jkgo56D80BNz1NPn58dYacZqKbOo9sbaF5lYl2zTD55plxe4exuIDPoQg+eriH3iY/04kclycSXJlM8tbtLfbAvRB1Pif7e+q5HUkzMa8Tz+q8dDPChw9185FD3YzHshWp0d2NPt6zt4NMQV+yU9IMky+eGLEdMzc3B4r20638wrFezo3GeOeedhRF8OACrbFnrkxzfsxKDn/8fit04lYdfOhgF2PzlshkNZ+bx3a0cnp4nr6wf8V6A79b5ZGtzTx9aYq/uzxNXjdpq/PYKtDpvM7RzU0c6W/gm2cytIY8vHQzwkBrkC0tAT7z8CaeuTJDOOCmPXSn8PDd97WT00x2dbwpTWeXYKVw2uLiz1qKQx/d1kKmoPOTGxFyBQNFEXzl5BifOtZH0OMsy9PUgh9cmGQynuPMyDyfeWhTxV3/lckEP7w4BViRid2ddWX9aiFaQh6ePNJts8pG5y1B2OeuzfJ3l6eJpgq8NjjH0c131DE2hQNsavaTyesMzqZ58YbFijzc38jPP9BLnddpR27uFe75TkYI4QO+BvixpPg/AvwecAg4U5KEEUL8Pxv5XC0orRoVYa14DVOSyuv0NvmLFe53Oo1umKTyqzM8qoQSLTSaLnBjOkV/OEDQ41yVvtZccWUsEGxpCRJwqzXpTcUzGn63w6qJcZV7v/eHA3icUdJ5nUzBKO60YDXpKMGdHZJhmktke8BKHB/fEi5KlmTKfk8lPLqthQc26fzLb1zg8mQCKa02+93qsoKg1dh0WvE6mlJyezZFLFOgNWRNpm/f2cbbd94ZaKS0QlBBj9NOeJfydCW0hjwr+sy0hDyrsrZu9LtwF8/bfLpAvc/JxfE4Bd2kv9kSeTy2OczZkRhZzShb2bbXefn5B3qXfOZ6hV1/GuBSFd63v4v37e/iu69PcHMmRUE3SVehCq+E8j6BLe2jKoJvnR0npxlsXxBqr2Ut2BLy0LLgb7BCz5cmLIO0xXoeLlWxbbH/9Ce3yWkGQljRjlRex60qfPvcOPGsVhSUvfsOuBs5ybxU4/ueAE5IKT8nhPht4F/xJnHGfHxXG1cmEyCtEEpTwM0Tu9u4MZ3ivq47K2DTlHzl1CgzifUbOB3ua+RvL0yy2Rewq3tXi3fubuPieMKq0o7nONi3ckjvuWsznB2J0Rx08+SRniX5muagm/fu7eCbZ8YJeSWDkfSK9RuLoToUPnKomxO3o5wYnOMPn7nBLx3vr8jM2xT2c6S/kVRe58gKOQLDtArVnIpCwLO+Luxzqbx9RytnhueJZzUEoirbrWQE1xJ0c6S/kTqPk/AGMQ2XQ2+Tj/s3NZLI6jywuYmpeJb2Og8Fw7Sl6IeiGVI5g2Re48MHraBatmAwGc/S1eBbl8vq/wh4aCCMqgiag+41m9H9zB4rAtHV4MMwJV88MUI8q9FR72EoksaQki0tAR7b2Vrcxay8izRMychcxmaNmabk5VtR0gWdcNBd9V4RQvChg93saA8RSebpbPDRWe/l1myqrFbuTTHJCCH+2XKvSyn/oPj/P6rxO29hGZ6BZTCW4g10xoxlrCrgx3e10eh3IYHnr8/iUARPHumpKJmf0w1mEhtj4OQvSki8PhpDM6ywUq3Vwqm8zg8uTCKBd+1p52/PT1pClpnCkoLIxRgtFu7NJvMVZV4AMgWD1pCHmaRVf1GLEOhcusD3z0/yxO42HIogHHATy2g2b/9wbwNv3bFUKUEIUbHCuBJ8Lgf7ehoYnE2X7b7GY1muTyXZ3h5csb4nmi7w3LUZHt3Wwu7OOgZaAzhOC6LJPAh4+WaEw/2NZZXzI3MZpJQ8dXmK6USOTc2BijmXjUQypzM6lyGaKpDIaWQKOh31XgZaLVHHkhrC+HwWt1PB7XSTyutIKfnKyRHmMxpdDV4+XEWi/qcF62Wn1ftcq9pdVoKlOWb1h5lEjnhR4DKSzHNjJoVumLyl2N9KmE5k+bOfDBJwq3zyaB8NfhemlHz11CgCi258azaN1+WwFLQlzCTy6IZkJJqhYJhV2ZKNfhcPDZSH2DvqLLuOZE4v21XdTdSyDNzoltwA7hdCXAJmsCaChU6Wu7B2I7c28LkyCCE+C3wWoKGlg6l4jvNjMR7d1mJ3DMOUJHNaxVWqz6VybHMTtyPpNftrLMS79rQzl84zmyzw3dcn+NVHNte08rw6mbBdFK9MJuy2J7Lait4PD24J8+rtKH1N/ooTzHQiZwuE7uoI8cTu2m5AzbBqbPZ01tkc/PYipbrE418vhBC8d2/Hkt/47XPjln3wTJLPPrx5mU+wwp1nR2Ic6G0g5HHiVh18/P5erkzG+eHFaYYiGRyKKItdP7y1mdcGLaFMIYR9vu8mMgWdv3512M7vnB2J8fiuNj51rK/s99/XXcd0ImfRb1sDNhMRLNuGf8C9RXPQzb6eeqbjOdrqPBQMCSyVaPrSa6OcH4sjgO3tljhvVjNs9Qa9OInkNIOCYRLyONneFuTieJzOBi8/uRFZVe7I63LwyaN9K44PG4laijF/t9prQoi1lPt+CnhKSvn7Qoh/jpWbecOcMXu37ZEORdjMpwf6mzBNScCtLrujuH9T04Ymz6xBpIDHqVArTb278U4YpLvBR3udh4vjCba1rewB0h/2L/v73Kol1W+YsmoCuxpCXifh4J3J5PhAGFGUw9/TuXHkicW/0ed0kNfMmtvbVufBv+i9flc5VXUhtreF2N4W4uZMkpsz6arSHBuN1qAbiSBTMMqu2cLfH/I4+eDBct+Qn7mvnevTKfZ0rawk8Q/YWAgheEuxPsowJU6HQsEw2d9T3mc66ryoDovzWLq2LofDvq/fubuNoWiG7kavzXh9YFMTN2ZSGKZc0n9X0757BSFryD4JITqBduC8lLIghGgBfhP4BSnlqhTyhBC/DuSllH8uhPgFLPOzDinlrwgh/jML3C036rnljMuC9Y2yobWTep8T1wpFepmCQbLoLRL0OPGt0YK3hIJuki5YyThVUUgXdFwOBZ9bRWBpLZU8JbJzU/T19ZUdr5uS+bSVJG/wu1a0W83rJrFiUt3nUglWyWdohkkqp6MXbw6fy4FTVcqYHaaURFIFpJR4nQ6bHnv1xm2aO7po9LnspH86r9u1MXVe54ZU6GcKOnndxF8sngOrBiaetcyWVEUs+11Xb9yirbN7CXFDAsmshgSCHtUmgywHU8ol70vmdHTTJOhx1mSDG8to5HXDpsorwpo4RkeG6e7pJVMwMKSkfhEBZeF3ZwsGsayGKSVORaExsHKfWAuyBcP22Al4VMZHRnA3tOF1OWyabSWUogOKIuwBUzcl0ZQVenarDuqLNN5S/zJNidflWJUgYzUMDQ0tuYfejBgcGiLQZEUOqt3Xpfsz4FHLXs9pJvGsdY9X6/+GlCSzOoqAoNdZdl9HUnm7D7YsiuIs7uenT5+WUsoVQy615GR+E/ht4CbgFkL8IfAHwH/nTm5lNfgi8BUhxCcADfg54F+/Uc6Y9S0d/NP/9A329dTbK49q0AyTl25a8hzHt4TL4vVrwV+/MmS75wXcKrcjKQYjaR7d2swnj/VxZTJpV+Z+4X/5GKdOnSo7/tTQHD+5cac9K4XupLSKHzN5g+NbwlXps189NcrVyQSXJhK0hdxohuRIfyNP3t9jG6jFsxp/8dIgUlJmM9u9dTf/5I++zgcPdNnhspxm8PKtCC6Hg6Obm9ZdUZwp6PzJ87cBy4PjE8X8069/4TQj0QyaYYluvmV7S9XdRvfW3fxPf/h1fvmh/jLtqYvjcTtMeH9/44pFdy/djPDa4BwtITcfPWwRKMbmM3zt1BgAA60B3l2DUvF8usCJwTlymsFgxNKifXhrmPc99jAf/bdfsNlOJb8jsMKDt2fTbG8L8sTuNv7omZvcmEkSyxQ42NvIx+/vWbc/eyXohsnLt6IYUnJ8c5jOgd289V/9OX63g//zfXuq1jk9fWmKSxNWZPxn93XYhYJnR+aZTuR5YFOjPenHMxq//TcXmE3m2doa4P943551t/vQoUNL7qE3ow/Ojj37+OwffBWwCAmHFiX3F/avbW1BW4YfLEuAH12x+m+1UoDnr89yZngeYIn75uhchovjcba1Be3rY5iSL58cYSaR50h/o507FUKcqeX31LLX+iywTUo5J4TowZpsHpZSvlrLFxQb0yulHAaQUsaAxxe95Q1zxnQ6FEJeJ7tqsDl1OpQlEiHrQUe9l9lkHglFAywNj+ogUzCIpgrs667HlNaq/AsVjh9oCXJ50rppt7auXFRVorquhM56L4ORNE6HYDqRp6vBy3xGI57VaAlak0yd18l79lr5rIUd2aEIuht9tC8Q4fM4Hbx1g2wRwFrx+lwORuYy7Gi/kzLUDYnP5cChqDw0EOa+ZQRHFSHY0R4kuCAfNZPIkcxpOITARNISWpk1NhRNF4/Nky7ohDxOGnwufC7rOlYbcBejwe/iid1tSCk5NxpDNyX7uq0k8kBLAEUIEjnNThpPxDKcHp6n3utkMJpGCGExznSDviY/79zTdlcmGLBYgwtrtjxOBadDYXNzoGz1O5cuMJO0ao+cDoWOei+XJhK4nUqZiGglO986n5OOOg9Oh0KwyKr6+6STth54nA47dznQsjQlXud1UjBMUjmN1mD5/byrI1Ss4pfsqdL/O+o8nBXWeLZ4t9Ld6FvCOEsXdJvoNBhJ10zQKaGWSSYnpZwDkFKOCCGur2aCKeIZIcSfAf9eSvmmykI2+l0VrXLvBd66vQVNN7k4kWAmkefjD/RyazZFS9BDZ70XRRHLSn7U+ZwrssjWguNbwrTXeRBYA4XHqbC3u25JMebm5sCSiuFwwM2HDq7eU3w1sMQdrQmlVN0M8NmHN3FicI7jm8O2L1A1NAfdZWSG+bQlx2GYkh3tQe7vb6pJl+ropiZevhWlt8ln74j8bpVPHesjWzBWrW0lhCgbdBv91vlcyCCaTuT46qkxcppB2qHYhmofONBJLKvR6HPd0wG5JejhDz6yl+ag24715zSDL702QkE37dX27s46uhq8uFVHTaZXP7u/kzMjMXa2B/+HmWDAWqgtd1+n8waKsCajxckORVlZlWSgNcgvhjw4HaKm/GXI4+RQXwPD0QzHNq8+D13LJNMlhPijBY9bFj6WUv6TGj5jP/A54LQQ4h9LKV9YTSOrFVcKIb4MtAFuwCul3CeE+B3g/cA88J0SxbpWGKbk0kScgFutqPuzkRBC4FQV8rrBdEbjXQEXx7f0rfnz4lmNmzMp+sP+mujGy6HkrNgUcOF3qQy0rEwmqAYppbWCVZUNKQI0irpcpX8lHOprXBJaqBUFw2QunSdTMBhoDSw7Ocwm84zMZeyQQqV+4nE6NiT35HSIJRTVnGYwly4Ud6ZN9u5GdShl/j7RVJ6hqGW6txFy9NUghPXdZ0ZibGnxMzafJZs3bAOuhQuB1RQv7+qoW1bL7n8E5DSDy5OWcG2Jlp/VDFRFQXVZTqWrxe3ZFImczu5VqD08NNDMQwOr/iqgtknmXyx6fHq1X1JUbf6nQoiDWLuaMax6FmG9LO+rdqwQ4gBViiullB8tvuf9lOeHfktK+aMKH7ciTgxGOXHbsmD9yOFuOmsMd6wVD2xq4qlLUzgUwemRGFurGITVgm+fGyeaKnB6eI7PPLRpXQyS1pCHx3a28tSlKVJ5nW+dHedTx/rWlIA9Oxrj+WtWbum9+8S69ZKEsApi89rGifs5FEFBNyno5rKqBrph8vXT1i7ixnSyqrHa3YTqUMhrJgXDxFHlGksp+frpMTIFgyuTiYpV/xuJr58eJZ03eObKtJ2r3NkRwq0qFcNh/4Da8PTlaW7NpHA6BL/0YD8+l8V6fXRbM+m8weH+1Z3byXiWb58r2VNoS+po7gZqoTBviLKyEOKtwB8Cf4ZleFbrCHGUlYsr3w/8xwWP/50QYh7451LKc6tp50KynWlWZ95dn04yGEmzv6d+XZ4rHqeDvrCfvGbWJDOxHErtXabZNmaTec6MzNPX5K+qKr27s46RuQzXppLralteNxiKpnEIsW7/jRIa/C78bhXfGuQ/qqEl5EFKcKmVdyATsSznRmNEU3n8brWm83w3IKW0XS1Lu5y8bvDyrShuVeGBfiukUWqfud6OVQNMabVhMJKm3ueiLeShu8FXZqn9D1g9SuxfU94Zm65PJ5lJ5tnfXW8Tcdb22RvRwpVRC7vsO8u9LqV8bw2f8WWgE/iYlPJC7c0DLFWAqsWVQggV2COlLDEd/khK+TtCiAHgvwEPVWiPXYzZ01O+Er2/vxGP00HArVaVXMhpBj+4MIUpLSOx9awSHYrgbdtaODU8z6Pb1req+Nl9nVybTrKpqGe1HP7u8jTTiRxXJhP0NPoqxshH5zI0B900+px01PvWTCM1TfAU/Wj0DRiZ3aqDDxzoZGw+S2vIw9mReQZag2vSmyohHHDzs/s6mUvnq9by/ODiFImshiLggf5GdtbgZLoYY/NW9f6O9tCapV66Gny8Z287iZxukxvODMc4V7QEaPC52NEe4oMHOrkdSdPd4OXsyDw9jb675ib6gQOdfP7VYXqbfCSzOod6G8pIGevBfLrAUDTN5pa7G/Z7M+Kxna1cGIvTUW95MK137Gmv8/KevR0kclpVYkAJg5E06bzOjvbQuhihtdyVR4FR4EvACdamDv6MlPJPhRBLMuxCiH4p5eAyx8ZYvrjyLcBzpQcLSAo3qg20C4sxDx06ZI96pimZSuTY0R7E51J5+WaE2VSe41vCZbFuVRH43Q6SOd2uD1krDFPy42uz5DSDF67Priv84lIV2yv8HTvblk2u1nmdTCdy+FyOiiZs0VSeb5wZQ0rY112/xEGvVuQ0g7xu0BJy41AEkVSOb55JsKezbl35mfY6Ly1BD//1BUsE8NrU+kNXKxWohjwqiaxGe72Xo1vCTMSyiGI9Sy2IZQp84/S4PUB0N/q4NBFf07nYsoh1FPKq6KYlyOh1WpNXS8hDS8hjq0x7XQ4++9CmNSfRz43GGIykONTbuGQB1hL0cLC3kTPD89R5XezrqSevm8wWfX9WM0i9Phrj1myKw32NdDV4+VoxFHdxIsEn7nLY780Gn0stK/pezdiTL8pftRVZeiXUYr0+HsvyN2fHAavmq6T0fGM6yYXxeE1W8Xaba3hPG/AY8CTwMeD7wJeklJdq/RIp5Z8W//wGcGDRy19n+XqbV4BfAb4KvB2r4HIh3g98ufRACBGSUiaEEGFWKQD646szXBi3kv6P727jxOCc/VqpDgSsEMVHj/QwncjRu06BOSmlHc4oSfRfnUpwcmieba3BVcnW/OkLt3nldhSfy0FryMMDyygSPL6rle3tQVpDnor1Pgs3HCvtPmYSOZ65OkPDIj8M05R8+TVLPysccPPO3W189dQommFN5uuZZF6+GeH6TIrZVI6g27khO6SV8N59HYzNZ+mo8/La4Bwv3YzgUhVbQn0lmBJbNVc3JU9fmkI3138uwEqSP3t1hrxmcno4Rl/4zkBS6leGuViztxyv3o5yYybF/f2NS/T6sgWDZ6/OAFYh4CcqsJ8eHgjT0+ijwefE51L5q5eHiGe1JbUcyyGnGTx7bcaWxfnk0V5KvlrGAoOtV25FuTmb4oH+xlWdu5U0zu513Uy17/vJjVmGohmOb24qI5YsHHsq2VosxFdPjRFJ5ult8vGBA6tjfC5MFSwMtz59eZqCbjIZz9X8WbXkZAzgh8APhRBurMnmOSHE56SU/28tXyKE2I4V5qoTQnxgwUshYNmEhpTyzMLiSmBECPHbUsp/I6ytylFgoTjn7wshdgMKlsJzzYimLS54Kq/jUgXeIkV2sSprPKvxyq0IjX73upPYqkPhgwe6GIykbbHDF29ESOZ0IklL5bnWsIpumghhVf0ahsn3z0+ytTVQ8SZUi3UN1dAcdPPu+zqYSxfY2738quXU8DxT8RxTizqeZprEFrC/Sivr8fksrYvyWFJa6rKpvM6DW8IV9dRKyBR0ewHQ6HNxsLfRPnd3E271jsnTXLGvFHSTZE6raZJp9Lt4794OZpN5dnaEODEYJZrKc3zL+pOvUkqktFiBpX5cwnvua+fKpBVGrbajyGkGr9yKAhQtfnNousmDA2E8TkvmpMHnZD6jVa2/EULYO8GcdkcVoFTRXwtcDoUGn4vR+QyZgsGliQQfPNDJrdm0nTvMaQav3rbaWvLO+WmCISWnhqxiyZdvRZewFwNulcCi57IFgxdvRvA4FY4Xa+FKaiDRVHXrjGrobvTxzj1tpHJ6WUFza8gyF1xcX7McalrpFyeXn8GaYPqAPwK+uYo2bwPejZVfec+C55PAZ2o4vrSEMaSUU8C/KT7+C6AA/FgI8V+llF8Efhf4PNbktapY1lu2tfDa0BzdDT7aQl4+ebSXVF5fkth/6WakqCqcpKvBW3PBXTW01XnsRC5YYZvzY3G6Gryritt/6GA33Y0+tjQHODcWJ5HVuDWbYlNzYE0x1Vq21WBJ0V+fTi7RUXKrDt6xs41bsylbrfgD+zuJpAqEFwll3o6kea04cbhUZVn1BY/qoK3Ow1Q8x56u+jLTpnuFo5vDmHJ1zomATXk+NxrD71JRAoK+NYYiF0IIwRO727g6lSyzpQCLNrzSOXKrCp31XsZjWVRF2BXhfrdqqzQ8eX8PsYxW0wDjcTp4bGcrtxcpZa8ERRF89Eg3f/XSEKm8zo+uTPPphzaVtd+tKnTUe5iI5eitUbH87xMcQtAScjOTyNesyH56eJ6L45aJXkvQw7a2IO+s0h9qxfYKTNf37euoeP8uh1oS/38F7AZ+APyulPLiKtoJgJTy20KI7wH/Ukr5b1dz7HIU5iI+LqW8ueDxvwL+N+A88D3uMNOqwjQllycTeF2OMgkQn0utWKzUUOT6u9T1+5lUwtt2tHKkv7Gi+J2UkqtTSRQhlrDC+sJ++oqdcmQ+QyJrrbDvdh3bro46+sN+nA6FP1n02s6OEDs7QkgpuTyRQHWIiuZiIY/TFuRsXKGWQlEEHznUTaagE3yDEsF1XmfNIaBKaPS5cCiWbUSqsDH1yQOtwRVX9QXd5MpkgqZA+eRo+Y90kS7oJHI6Xz81hillWb2VW3XQGqqdzbRcnYuU1j3nVpUl+SW36qA37OfyRMLSplsUzhVC8OGD3aTfwOt/t/HRwz12/55PFxiMptmyDPGhpPmmCGH/XUt/WC1Uh1K2IK7pmBre8wkgDWwF/smCZHqpxqWmOIWU0hBCPAasapJheQqzBP67ECIK/KOidM19wG9IKaUQIimECBbrdKri5NAcLxdDBR862LWikc/RzU10N3oJuFV0Q2KYct16XMPRNCeH5tnSEmBfd33Vm+fSRMLW1gKq0o9/Zk87VyeTbG4JrKleRkrJT25EiKbzPDzQvCIraaXK4fNjcX5cjOkre5cmrpuDbj7xQC9Z7Y4US143yBXMJd7nYPmXD85aVgv3wnipVpwenmcosnK7epp87O9u4MWbEc6Pxult9Ns7R9OUxLIa9RsgCglWbc+z12bJagZIya3ZNIoQfOpYb1lxpKIIgh4nQY+Tjz/Qg2HKslCxbpgkczr1Pue6VXzPjcZ4blHt1Gwyz4s3Z2kOeHhsRys72kI0BVwVd/OZRQ6gP21wFK8FwNdPj5HK61waj1fMhaXyOv1hP08e6cGlKusuxF4OqbzOj6/O4FlFhKWWnMxGWuq9LIT4T8BXsCau0ncsJ7S2HIX5t4qaag8C/wH4EOCQd6Sl40ADVljOxmIKs7EgsWXUmEDuavDxw4uTXJlM0lHv4ecOr4/Z9OzVGeYzGqNzGba3BatWiy9s33JtfebKDFenklyZSqypbeOxLKeLIROnI1qTyONyKD/Hld/T4HdRCqxkCjqff3WYdN7g0W3NZQV92YJhF3dmCpWT0G8E0nndFjTNasaK9NKg12nnnhYmV797foLbs2n6whszed6cTdmhlJKSrkQuW+cTXrSoMEzJl06OEknm2dtdt24tuoW/t5RkfvlWhKFIhqFIhi0tgaqMxqFImm+fm8ChwEcOdd81jbY3A6SUZcSNxRidy/Cts+MI4EOHuu7qBANwZnieWzOpVR2z8bGe5XGs+P/nFjwngbcuc0xVCvMCuvKLQojfKz69UGdhRT+ZQ4cOySN9jbboYt8qYrwlw7DJeM42F1or2uq8RRaWa1nLgRK3vSTwWA3jsfW1rd7nsokP7avcHlfCvq56FCFQFVGTmOdcukA6b13Ksfls2STjUi25m2iqQNsKDpj3Eh6ng0a/i7l0oaZztr+7HqUoVLgwhFjqV2Nz2Q1pVzjgxumwapTescMyxQoHXKsakPK6QSSZL2vferCvuwFFCJyOO1JD7XVebs+m8bsdhLzVh6aJeBZTSkwDphK5n+pJRgjBBw50cns2XTHMPBnP2ZPPZDy3oiPsetFW57FkhFaxi7ynk4yU8i1rOKwqhXkBXXkbdyaT80KIo1g5mZCUMsEKUB3KqpKTJTyytZnTw/Nsawuua4IBi1J8oLeeeq8lbhjLFEgXjCWyNooiKsp3b3TbAm6VTx3ts7zEq4TKbIY43wAAIABJREFUkjmNWNHed6XwiaKIVZl8ddZ72dtdRyRV4P5N5TRuhyL46OEeYtmCLdo5ncjZds9vFEqW3QvbtRBSSsbms4S8TitXpoiKkiuPbmvmwphVi7ARchvhgJtfON6PpptVNdmiqTyaIavG230uleNbwgxGUhzpXz/RwlHhtx/pb7QKiYFIskBXg6NiTc99XfXMJPKojqV5yZ9GtAQ9VVVFdneGmIxnyWkGIbd61x0vt7YGaQm6UR0K/7jGY+71TgYhxM9ghbzssyal/Fy19y9HYQa+IIRowNoN/VrxkP8by+vGC/zr1bTt0kScF65H6G70cnRTE+dGY/Q2+ZbkD0robbIooatNhC3Gs9dmuD6V5Eh/I5ohuTgW48J4AocibD+JSCrPX78yxM/u71yS/JuIZbk8YTlilvIA622bZpj88NIk0VSBd+xsozno5txojJaQRdvOFgy+cGKEbMGoyYtnMUxT8vyNWZ6/NktHvZf37+8ss7oWQrC/u4FETqs4YLtUhZagh2evzfDijQhDkRQtIQ+//uiWu5KjSRf126YTOUCyu7Oex3a0lg2Cz1+f5epkgkN9jRUHhVduW7p4LlXhE0d7l1zHuXSBZE5jZ3toRWHIb56xaiA+eqTHLsr7yY1ZLk8kONjbwKG+Rp69NsOVyQSHehuteqsq8+9ELMvXion+xf4iC3Gkv7GsbiuV15lJ1F4vUbq/ehp9vGtPG5FUgfNjMfrCfpsaHvI4+auXh5hLF0jkNAZaArx7b4e9eJBScmsmRXejz9oJLrOiHp3L4HM57prKwb3G2HyGH1yYQnXAsc1htrZaReNv3d7Cf39lmD/9ySCmlNb5DPtxuxwc6WtcthxgLViNyCnc40lGCPHHgA+rSv/PsHIoy5qKFVGNwjwBlHp9abn+aaAJS4V5N/B0LW3LFHSevjSNZpjcmDaYSeSIZ3Uujif4zMPeiont774+wchchjqvk1883remFURBN205kNcG59AMk0iqwOhcht2ddcwVue6GaTkF3p5davv7vfMTpPMGlybjvHN3O531Xn54cYqRuQz1Pie/cGz1bZuK5xiKZAArya4qgqtTSYSATxVzICV13RIfv4RbsymCHnVZTbfLkwmevjjF7UiaVF7n2lSybJKJZzW+cGLYNkyr5GFROne3ZlPcnk2Tyhu8Pha7K5PMUDTNbDLPc9dmrO8djdvaXFPxHKmcZtN+zwzPV9wZz6c1u93pvF42ycQyBb7w6jC6KTm6uWnZQtpXbkX4yslR67MMk3/01gFMU3J6eB4prbql/T0Ndr86OzK/bFFvLKPZOZKF1zKR05iK5+hr8i9JvmuGyZdOjNiOp7Xg3GiMnGZwfTrJg1vCPHVpitlknksTCX7lkU24VQeJbIGRuTSZguVyGg64uTKZsIUcr04l7xBIRGUvGoDTw3O8cD1i7y6bV1HXsRxWKtZcqdhzPcWdlyYSRNN5Xh+LMxjJ8NjOVh4aaCZTMIoFklnmMwXOj8cJuBwc6W8kr5k8sbttzd+5EdjIpH4tOCal/CQwL6X8XSzmWPdyByykMAMuIcThBS//npTyOPCLlO9afktK+ehqZP6/dmqM6USOa1NJept8NAc8xe+H4WiGvL5UUrskM5/K6zUTBhbDpSo2q2hHewghBMmcRsCjsr0taNcHKEIQ9KgVaypcqsJcusC1qSTfPz/JV0+N2m1L5vQ1CTm2hNyEAy4cihWSKDF5FCFQFEGD38VAix8pZZm8fjqv851zE3zpxOiyRXgBt0qdz7ISDrpVtrRY7KKRqDWxZQsGWlFMM7GgoHPx727wOTFNk+aAi/Y6T0WTp5WQzFn1RHoVRkIypzE2n0UzTDxOywvFISx5j8l4li+fHOG75ydt5YTtVXJlD24Js6M9yIMD4SWx81Ret1UL4hV+bySVZ7hokBb0qLa2U0kgVFEE24uho5LWVGvIw8hcmu4V6ni2tQU52NvAns46u55JN0y+/NoI3z8/yd9emFxyjGZY1uHLYTKetXODYFGaFSHoC/sIelRba87jVGw16eeuR9BNSUE32dEWJJLKk8zdub+cCySQVKX68JXIWm0zTEl6FRPhmwGZgsGJ29El/XFbaxCBwF28Z0q/sTXk4aGBMAd7G4rq5AbR4mLB73YwGEnbi9U3Avc6XFbqcRkhRAcQBVZyDKtKYV6geaZRnvBftQpzuqDTGvLQH/bzgQNdaIbJ4GyKv7s8zX97cZDmoJvfese2MtrkE7vbOD8WZ6A1sK6czHv2dtg0aCklQ5E0yVyBU8Nz3FekMzcH3Xz6oU0VjxdYx6VyOsPRNDnNwyeP9nJhPMFA69oKMd2qg08c7bPb1R/2017nJRx0Ued1Es9o3Jy1HBmfuTyNISUNPpfNhDGlJFMwqLYe7wv7+cTRPnTDJJqyFKGvTiUQCB7Z1syBngYe2dZMNFXggU2VV+G6YXJ+PI5uSvrDAX710c01F5CWoBkmX3pthHTeqGqV/MyVGQYjaVyqwn/48F6uTCbpb/bT2+Tn1mwKKa1QhtOh8O772nmwinx6nc/JE7vbiWUKPH99lt5Gn0006Wr4/9l77+hIrvPM+3c7RwCNnAbAYGaIyUNO4AyHOZNikCgrUsGyZEtaR63XeXfP+exjWd61vY6yZAV/DpJFLWmRoiiJEklRYp7MyXmQc+ycqup+f9zqngbQALqRiNGH5xwcNApVdd+6VV333vd93uf1cNt1lYxH0+ybkjg5EknyHwe60A3JLRsq2dNSzu89sJGRSJK7Nyo35fHuCUpcdj5zeysehw3DkIzHUjSVexgKX3VpdYxEefHsIFV+Jw9tq8NmtWC1iEmVLkGxARNmKYV8qxWPw8YDW2uzq92p6BiJ8rSpffXQ9jriKZ1YUuMzt6/FZVevnXdtq6NzNEpNqSv7/Ymayc/1pcpV/JNzQ5wfCFNb6mJnU4D11X4e2aHyqWYjkOxtLceQErfDypHOsWxJ4msB4USaNy6PYrWISRO4lkovv/dAG08d6WEgmGBv69VVXKaWktdp49JQBIfNwruvb2A0kuSZY73YzEJoU9MBJmIpnj3ehxCCd19fvyQCpMs9yDwnhChDxU0ydWm+Nscxs6owm/gCSoUA5qnC/OiOes4PhLP+aLvVwrpqP//6ZgddYzGGwkmO90ywM2d5Xl+28Gz/jpEoX3nlCtGUxq/c2kq1WbFuKJSk0uvkZM/EnDVtEmmdCp+TyyNRdFMLLWNboW6ylGZweThClc9JJKnx1pVR6svcVPmdvHhmkJpSF++9oSH7MrBZFVMsrUv6QwncdiXa53PauaGpjDKPY5rbampQsqHMzaWhMD+7MMJ4LEU0qdEY8GRXLjunuEIMQ/Ks6aK8o62KDdV+hkJJdAP6Q3EOdSh3Y76YQu9EnFhSo6ncM8n1k9aNbOGncOLqy1RKyd++dJFTvUGaKzz4nHbsVguVfif3V3izx7aUq8HhWwe6qPA6eP3SqJIbqvbOKMP+/KkB+oMJjndP8OnbWnHaLAgh2NU8fTDVDMmTh7u5MBhmbaX3at/kuOM6RqJZF5IuJbduqEIIlRk/EIxztj+E027lvTc0cLxngnBCo3c8TpXfyU2tFXmfEYHg4e11tI9EZySabKwtYWNtCf8jz/9y+/KNiyP857EeQnGNx3Y28Ll7rkNKiSNPEbsHt9VysifIuiofmnH1eXHaChN4TGkGDpsFj8PG3Ztq6B6LZetDLQXmco8tBDaLhedP9RNOaNy4tpxoUscqVKxJCMGZvjC3XTfZJX3PphouD0dw2qz43XY6RmOAJKlJoilt2iBzfiCclZ25OBiZFwFqzutY9DPOjr9EBehvRbHGXgW+NMcxs6owCyE+B5yRUr4G81dhbgx4psmDdI/FiKeV/7ytxodrAbUbZsLJHhVTAPjhqX4+flML7SMRxqJJusaUvPlceGh7Haf7QlgtKgelxG3nzcujHOwYY2Otf1KZ4ZnwwplBzvQFOTsQRgB1ZS76gwkCXgeaIekdjzMWTWXpol6njQ/sWcNwOIlVCJ470U/Aq9QF7shDAhgKJfiOOaN6367GbPAw8yIuc9tpq/FTX+aeMR4RTmi0jyiX0YmeIM0VXh7ZUcexrnESaYOBYIKfxYenDTL9wThPHu6m16Te5pa09jhsPLhVzahz/fvj0XRWy6t3PM5v3N1Itd+Vjc1lXJMeh4VP3LyWB7fVcaxrgsFQnB+dHqB1yDtJVDUXmRwou9XCj04P0D4SZV9r/jhMLKmRSBu47Vbqy1x55WGcdgtCqPogmXMLIXj/7jV8460OnDYrPzzZT8dolP2tFYQTGpeHIzjOq5fx1Bjfi2cGOdkbLErYcio215cQSqTRDUnPeIye8TiabvDC6QFuXlfJG5dHaQy4ec8NDZNW2tV+F3dvUs9YWje4d3MNboe1II3An5wb5Hh3kOtq/Dy0Xdld5Vdu3/FYfpfrSkTA4+CRHcr+s+fDSCk52D6mJo3A0a5xBCKvXEw8rVPtd6HpBie7J7hpfSVvXRklltLonYhPmxSvrfJytGsCi2BR5I3yYbkHmX9FJUZmVh0fRjHBPjDLMbNRmO9D5d58MGfbvFWYzw+EefXiMGvKPdy3uYZzA2HWBDz4nTbu3FhN11iMH58ZIKnplLodvGtr3bwl8DPY3liG40gPE7EUdaVu01WmI4TAkNAySxA7lEjzveN9SKlcbk6bhZ+cG6Kt1sfpvhBSKlfPhYEwbXUl3L9lcgBwKJzgSMc4zRVe4mmdSFIjltSoLnExFk2xvsrHnpYAr1wYobbUOY2lk6FWnuoNYrUIjFnK0L3dPcGBK6PohqRzNEpLpY/33tDAmnIP79vVSFLTWVd1VZ0grRs8c6yX0WiK+7fUsrbSi9+lYjddY1EGggn++bV2bmgq4/OPbeeZY710jcXyxh/iKZ2usRgXB8O0VHgnxQlAxSSmUmHLPHbWV/toH1HaW1PZXmf7QxzuHOP8QJhn3+7jfzy8mf9yxzq+/lo7uiFJpPOXxT3aNY7NKrhpXQVrK7z8x8EuQAV18w0ydpsaQNZXK1dePgJKmduBzWphYkp+TqnbzoNb6/j7ly5yeThCOKHRVuPn/i01nBsIcbx7grYa/7RB5sKQyl2+OBhBbp0fJdZqEVmyRtdojH95o4NoUmNNhUpiPtMfQgK9EzHu2liTlY5/4cwgFwbD7Gwq40xfiNMma7Jhv3vOctbnB9Rk7eJQGClrEULgsiu3r2FI/q3oq3hn4DCldsajKS4PRxiLXqXEj8dTWIQglLhaenw0kuT7J/tx2izcs6kGt93KC5eGOT8YxmfS5Uvddi4MhidNsEB9hz9zWytCsGTU5+UeZNqklDty/n5ZCHF8tgPmoDD/PRAyz3NeSvkZFqDCfKRznHBC40xfiL1ry6kpcXKwXUmV72wK8PXX2gnGFcPrhqYAp/qCCx5k6gNudjYFSKR10prOxroSaktdWC2CDTU+5Czley4MhBkKqeD6+YEwZ/vDBDwODrSPsaOxFM0wlB6YhDN9Ie5sq57kKnrp7BADwQTnB8N8cPcayr12GgJuHFYL+9ZVsK7Kh91qmZNO2z2m/PIzMY2klPRMxIkmNdK6JJLQCcXTXBqOsMebX35lIJjIJv2d7A2yttKLxSJ4ZEc9sZTGP/3sCgBdYzGsFsFjNzQQmkEN2ZBgt1ioKXHhdtjmLNYEKpD+x49uIZLUKPM4zHLLEerLXFT4nKyt8hJJaBhSktB0fnJ+iP3rK3lkRz2do9MZgKBWcxmlAilV6e3tjaVcGIxwQ1N+l5TbbuWTt6zFabPM6H7rHo+R1vRsTaLH915VGmit8lHmdWC3KnKIISU+p43GgBvNkJR5p/fX3rUVHOsaZ2tD6aK8eJoqPHz9F/dwvGeCXc0B/ukV5f0eCSfRdIMfnx7EZlVCoRllgreujDIaSdFrPjdb6ku5ZcN0huEku1tVPZst9dPtnm8NncV2hxVzvpRu0FzuoTHgptzrMCnLVr748mXKPA7C5vftdF8o6/LqDybY0VjGy+eHCCc0Xj0/xJ61FXSayslXTMHcXMy3bwrFcg8yx4QQ+6SUbwEIIfYCr891kJTyt6Zs+ry5vS3Pvp8xSQXPAT8SQviklAXRS9pqfQyGEjSUuTEMePXiCH6XnZoSFyVuO5vq/JztD3NdrQWHzZJl8ywEViGyL8aA10mp287v3r+Rw51jXFfjn1WFubnCyyFTEryl0kNKM3jxzCBj0RSdo3Hu3lTNrmaDA1dG2ZDnXGVuOwPBBF6HjUq/k7vKauYlF7KrJUAwnp6RP3+8J0jPWAyb1cKmOh8VPgceh21WF0hNiVKmHo0k2TyFreVx2NjXWsGVkUh29m+xiBnbL3HbaAi4qS11cefG6oKTQm1WS/acPzjZT+doDKfdwi/f0sr2hlI+fVsrX33tCg6rhdvMF+Bshc88ThsOm4WUZmRFVu/eVMPdm2bv87mCsY0BN/G0QftIFLvVQsdIdJJyxYYaP1eGI9gsFm5qraDS7+TWDVUk0jq7mqbHgXY1BxbdN7+m3JOdTNy7qZZyt3pJhpM6wViCH54c4NYNlWys9XNhMMKNa8vpnYgzEErQEHBnRR9nw86mwLQ43rWMCq+D5kovg8EEt26oYlNdCboheXRHnP5gnD1mDK+1ysvJ3iB2q1Ar+YDSnIundbY0lHKPWV3zxbODnOoN8ciO+qIJMgvBcg8ye4GPCyG6zL+bgLNCiJMosc3ti9TOGHA38HQxB+1qLmdHYxk2q4XRSDKbO5DSlB/oga11BcU3ioHF5PEPml8myO++yYcqv5PP3NaaPU+130Wl38EPTw4AyuU0NYEuF/dtUYl3VX5n3sJlhaLa78pWpcwXBE7rBn6XnV3NAR7aXpdXQnwqHDYLH56l0uVN6yoKlviv9rv4yN4m4mm9KFn+XKRNOqmuK2KFEBYe3lHPwzsK13TzOW18dF8zwViaNeWLJ//hcdiybpJcWzN4/65G9rdWmCs5tc8jRdi92Lh5fWXWlXZxMMxzJxRFOqUZPLitjge3Xd33jrZqUpqxYILNtQib1cIHdk/O8LBaBL+wa3IBssaAh8/evg7B1VXJ5x/bylg0lXUfp3KeianPx1JDXNWSXIbGhJhVMdBUUc7sWwL8IdAI/NCsFZP53z9KKX+1gPZ+CtwzdSWTyy7zer27Nm7cOO3YtG5kueVOm7WgmdRCMBJJohsSTZdU+pw47ZNf+h0dHbS0tMx6jlhKJ2wWivI6bQuqeZ/SDMZj6vqFEAQ89oIGornsHAonsyyzYgof5SJTvhjUF7HClErRDUlSM3DaLHPStgvpz8JsUew+u9WC1UJeu2ZCIX0xm52FXm8irWf99x6HDf88ylPM1Odz2VgMJmJpEppOLKnjdliwWSx4zdVfMVpZM2Ex7ByLprIv6Uqfc1K/q4Rp1Ud269xqyFKqQL3dKiZ9txarP5caR44ckYUIKC/rIFMMhBD/CVwE3gI+icqFeVxKmRRCHJVSTi3jnO8cPyXPIJOL3bt3y8OHD0/bnkjrfOtgF8F4mrs2VrO9sXDdrfngwmCYf3+zk2hSo6nCw0f3NU/S4dq9ezf57MzFcDjJk0e6MQzJe25omPesHRRd+MdnBnnlwhBuu0qc/MTNLXO6buay87kTfVwcjLCx1s+DC6jH8vqlEa6MRLmptTwr+/O1V68QTmgEPHY+cfPs6VeF9GchePpYDx0jMRw2C5+6ZS2HO8ZpH41yU2vFnC6JTF9sqpuZATibnZnrLfc6+MX9LTO2k9R0nj81QCKtc9/m2hn1y2aDYUiePNJN30SCPS3lk+Iji9WXfRNxfnJukIuDEZWLlUhT5nbgcVj59G2tC44PLYadV4YjvH55lKZyD7dPzS0yJN8+1M1gKDGnagMoF+z5gTBWi+CXbm7JSvsXYmexygNLUUZaCHFESrl7rv2WXbusCKyTUv6C+fkZIcR/R1XAfHQ5GnfZrXz8phZSmpF1MSwVQgkl67F/fQXn+hWzx5jH4F/ld/LLt7QikTMGiQuFxSLY2VxGj1n8TEqQi7DKfmhbHfGNeta1M19kXC6hRJpzAyFaKrzZPtOXcd6UYdQZhip/fMuGylkD1MPhJOOxFOuqfAvui0wW/FzPipTKBVtf5p53sp3FogqFJTR9ztpB80V9mZuP7lNMsISm89SRHkYjKRJp3bzHviX/Ls6FTGXTfFDCrWsYiiTUqiytz8qIy9w3KZX44s8rVvIg4xRCWKRUrzYp5eeFED3AK8CyRK2sFrHkD7VhSL59sJtIUqOu1MUtGyop9zpm1f2aDcWUa54NE7EUTxzsJpnWKfM4uG9LTd7iYcVCCLFoL6ncvmsMuHnshkYuD0fYsIxBzfu31nK6N0hDwD3nsxKMp3niYBeaIbOiogvpi/fuVNebTwI+F88e76N3PI7fZeNTt6yd94rAYlm8e1dIO4/uqOfcQJi3rozy/KlBakuDs8bpVgqeO64SKBsC7mkxlVzcvbGGKp+TutL5D/7XAlbyIPM9VJ2ZbPlkKeW/CiEGUdTlGSGEsKPKRe9AMcz+SEp5YKEGpXWD1y6OAGrGupBgeQaGvJpTkdKNaTz2xYRhSN64rBKzbtlQOesLI6kZ6IbEZrWwptxDc8X8a6kn0jqvXRzBbrNwy/rKRatomNt38bROld+5aEKIhcLntLF3DrdIBinNyOqTZcRFMxiLpnjrymhWPqUQFHq9MZPqmkjrGBKsC+x+TTd49dIIhilzs1Ac6RxnKJRgX2vFJFdemcfB3rXlHOkcJ6VdVWZYyZCQfSZjc2imuR3W7LOjG5LXLo2Q1pY3KL8cWMmDzBdziQAZSCmfBzbMdqCUMo1K3FxUnOwN8na3Ehwo9dgXhS5ps1p49Pp6rgxHswlpS4UrIxEOdSiJDafdOs2nnIuaEhf3bq5hNJpiT8vCrvNo1zgnzfyHSp9jzrybQrGcfbcYqPI7uW9LDcPh5LTJxCsXhmkfiXJ+IExTuWdR6+K8a3sdp3tDrKuan47dVJzpD2UVnksWWCJ6OJzMVhNN6cY0lQQhBI/uqOfSUITN9QVVen9HYbUIHt3RwOXhCFsaCrf3bH8oq+INxcdUllLeZqFYyYPMS0KIrwF/WWiey1Ij4HGQ8TQEiqypMBuaK7zTVgqDoQSheJr11b5Fy8QtcdtVcqYhKS/A/kJf3IYhuTwcmfGFk2HZWMTMuSzzRcDroDalz4sxtZiIJjW6xmI0lXtmrd8x0wAb8DpoH4nisqsKrYuJar+L6o3K/aqb9yrgccx71VfmdmRlbAILdKF6nVacdgvJtDHjdyo3x2Y+GAolmJhByTuD/qBK+sxVnZgvmio8RSdpB7wOLELMKxa70rGSB5kbUGWajwghfkNK+co7bdDaSi+P71U+4fnGTArBSCTJEwe7MaRkb2s5+9ct3CUByuaP7msmqemLWqb1zSujHGwfwzLDl3NjbQkBjwObRSxqAampMZn3z+L/Xmp852gPI5HUnEyvmXDbhkpaK72UeexLGvd45eIwb3ep+kAf39+SVyFhLjRVePjI3maklAsufexx2PjYvuZshdXFxng0xROHumctxTEUSvDtQ91ICfvXVRTs/lxMNJS5+ci+JnRD8s1lb31psWIHGSllGPivQohdqFVND6p4mWBxEzeLwmIOLklNp30kSl2Je1JQXfnO8/vuF4pC6rprusGl4QjVfldB+2d85bPNwmoWuQ57MJamZzxGJJkGBPEZtMKWC/Gc2BAoXbiJWJr1Vb6CZDuEEAsutpape9NS4Z2RhJB5njI1W+aL+ayCpFSrKJ/TPqliq99lz9J3Fxsp3Ziz1lMibZB5dJf7OdJ0g8vDUSp9jne0dPhSYsUOMgBCiLuAv0WVA/giVytk/lzg+VMDXBmOMhBK0FrpZf+6SrY1ltIY8HD3pmomYulZKxouFV48q8r2OmwW7mqr5s0ro9SVurh/S23eF+Yt6ytx2iwEPI5lmYWldYM//cEZBoMJ2mr97F9XueCYjKYb/ODUAKORJPdurik6x+iRHfWc6w/TVuvPMvN0Q7KrOTCtVstCkdIMnjvRRzih8cDW2uwA/uThHoLxNLWlrhlZWLdfV4XXaaPKtzQkiWA8zfdP9CMEPLy9btLgcaB9jDcvj2IRgg/vXbOk3oAMcmOLMz2bTRUe7txYTTiRXhLiTSKt8+zxPpKawbu21k5azf/k3BCn+9R37RP7Wxa9VPJKwIq9IiHEE0ADKgHz5DthQ/dYjJFIki31pYtGDc5FPKVnVYkrvQ4OtI+yzZTvXkjy54XBMCnNYEt9ybz8yxl2TFo3ONI5TjCuFF93NQfyukfcDuusL1IpZfaLNBfdthCE42m6x2JICQOhBHdunF5aoFj0BxNcHlIqvse6JqYNMrGUxtn+MGsC7rx9UFfqzrogB0OJ7Ox5KRhRXWNROs0Koid6gty72YWuG3SMRpFSzhqM9zptsxI+Fopz/SEGQ6pI2oUp9UkyqwRDSpLpq/PFS0MR4imdLfUlSyLWmJmAqLLZE2ypL5nGDC1Uz24+uDQUyZaZONUXmtT/8Zzv2nLLvSwXVuwgA7wkpfyqEGJa6rYQYm1OVcwlwXg0xXeO9mJIyUAowYOLrFkGSjvseM8EJW4b0aSefQFfGoogBAXV0MggrRvYrRYuDak6J6BcIsV+eXon4jSUuSlx22kMuEmkdX5ybohKn3NemeIAx7onsurD1uvFjNdlGEoXbK4qowGvg9uvq+Zcf4h3bS/8viTSOpeGIpNcNRmUeewEPHaCcS1vpv4PTg7QPaYy+3/51rXYLBbODYQIeBzTdLUWk5mXgZQySymvLXXjd9mIpXTWVSnCyNs9QaxCMBpLs60IVlM+RJIa7cNRmio8RcdsWiq9HO4cxyIEjQF3trIqwE2tFdgsghKXPesa7B6L8b3jfYAayBcSD5nL7vG2yVtoAAAgAElEQVRYipfPDTEeS3FnWzVDoQRD4SRttX7sVguarlTLF1vyfk3Ag9dpJaUZtE4RT71zYzWl7nHqSt2LTopZKVixg4yU8qvmx/8EpkrIPAXsWop2RyNJ/C47EpBIzg+EuTQUweNY/BlgudfBnW3V3NlWTVLTcdqsnOkL8aPTSuDyoe11Bc38rxaZ8lHhc2IYEouleKbKcDjJk4dVAHR3SyDb9sbaEuzW+X350rrBRDSV1eiaScYoktR44mAX8ZTOIzvqJ6kIT4UQgs/e3kpal0WtMH90Wrknc48xDMl3jvXSPRbjptYKdrUE8uY/Xc3OVr9fuzTC65dGcFotfOLmlmmEhsWkVEeTGk8c6iaa1Hhoex3rqnx88ua16FJmbZWmhL/NunAG39PHehkJJylx2/nULXNVR5+MmhJVn2QsmuLJIz3EUhof29dMbamqB3PrlNLUuc/oHKGTOfHMsV6Gw0n8LtuMpcpB3fNIUuPbh7rRDEnPeJymcg8vnBmk3GvnA3vWzEsxQ0rJaDRFqXuyzl+px86nbmlF5plAlbjseYv8TcVKpijPhRU7yAghNqJKLZcKId6b868SYEmcuT+7MMzRznECHjvv372GTbV+2oejNJa7uTAQXjI3w2gkSddYjA01flK6gWFIJYOeKKya38neIMPhJGf7gmyqL8VqFdzRVs32OV508ZTO+cEw9WWq+JhmXA2A5gaFC3mR94zH8Dsnzx6lVFpOQ6EEHqeNWzdUZnXGQM1iNUOyttJL30Q8W7L30lBk1kEGlJthJJyiIeAuKPejfSRKx0g0uyLIIJrSsvVwLg6F2TeDsvODW2s50xdiTbmH3vE4B66McKRzHJC854b6gllzvRNxRiNJNtVNd9nMhAGTzg6qb9ZV+RgMJyZRbm9oCvDT88NEkzrnB8KTJieRpMbFwTDNFd4skWM0kiSty7yrusy9T2nGtJLZhcBmtdA1HuNwxxixlJKh+bU710/bL5HWiaV0btlQgdVimfa8hhJpTvYEKXXb2FxXOqcrLWu3nt/uMo+DWzdUUuKy89NzQ4STadx2Gynd4OJQGENKRiIpRiMpnDYLw5Ek66t8c66sM3jhzCCn+0JU+Z08fmPTJHvVM7q0dVtWKlbsIAO0AQ8DZcAjOdvDwK8sdmPxlM7b3eNousF4LM33TvTRP5HAZbdQ4rKzZ4kC8MF4ms9//ywWIdjdEuC+zTWMRpMkNINjXRMkUvqcD3kspdE9HiOS0KgxZ1I7GucuOPX86f5J4o51pW4e2FrLeCyVTTQdj6Y40D5Glc+B22Gj0ufIxiTODYToDyr/+9tdE9jNVPKOkSg+l1L7HQ4nEULgtE0uftY+EuWZY70A3LelhvXVPhoDbqJJLW9Z2QxO9QbpHI1yaTiCYZAtEXxpKILdKmgMeDjUMYYhJTe2lGOzWugZj/HMsV6Smk6F18m9m2uyVRL9LjvbG0tpH4mye0rQ9/xAmCvDEXY2B6gpcbG3tYIDV0Z55u1eBoIJgvE0bruFVy6OYLda58yNmIileOpwD4aUDIWS3LN5eh0Zw5Ac6hhDN2T2mVsT8NBU7iGUSLOjsYzBUIKvvdpOMq1WfXtbK7AIpfxb5rHz6sVhWiq8bGssJRhP8xfPnyOpGayr9vHpW1sZCif59iFFkb9vS8203B0l5xKivtTN5eEozRWeotUtmsu9WITA47BiSMkLZwbxu2zsXVuefS5/eEo9fx6HlU/dshabVdXa6RqLUeKy8b+eP8ep3iDrq3188pa17DLrp3SMRNGlnOZ2fcS0e6bcMqfNQm2pi79/6RIdo1ECHgd3bapCSonLZqXEbcfnVM/scyf6iKd0bt1Qxf1ba6edKx/6zIqrw+EkKd3AZSlsNRSMpTnaNU5DwL0oMcuVhhU7yEgpvyuEeA74fSnlny11e08d6WYiliYUT/P+3WvoHFW15OvLPHz8ppZplNChUAKv07ZgNsgbl0a4MhIhktQpdduYiKfpnUjgtFm4OBhmIpaec6aeqT1/pHOc/mDc/GLDUChOhdc540pEM5UkjZyZ/aa6q/78Qx1j/OBkP06rhd6JOLWlLkpcdn7xZiVi+PypAaSEcDKN32knrUuiSY2nj/VitQg+uq+Z29uquDQUmcbaiaWu5tfGU8pV+MDWWpKaMSOVM5xI8+LZQVKawcVBlQF+rj9E12iMwXCCEpedjbV+zg0okVGX3crOpkBWxNJps7K5vmTaKilf0bBEWikXG1IyEk3xsX2qSkWGESilpMrnwO+yc6B9lIlYmnVVXqwWCzvWlOZlpxlSuWBBxcsmYimV0JgT6zo7EOKNy6OAKr0MaiWZW0PkcMdYtoLkse4J9rZWIISqpPrEoS7K3Q5ePDtIld/Jkc5xeifixFI6FT4HEpiIp7JuqvHo9NVyld+JxVLCN9/qQjckrVXeaZn4c6HK7+RX71zH5eEohiGz9taUuLJF3TKkiKRmoEuJDaVM3TkaI5HWONA+Siypm/ESZe/l4QjPvq1iOPdurpnkllQyO7N7G3RDZoPtHoeViViaaFJNlB7f28Qzx3p56kg3r18axWoRxFL6nINMJKkRS2nc3lbNoY4x1lX55iwVnYuXzg3SORrjeM9E3pXltY4VO8gASCl1IcS9wJIPMqGEhsOq6nJU+hy01fh5u2eCpnLPtAHmUMcYr10cwWW38tF9TQvi+Je67ViEwGEVOO0W0ppBa6WHS8NRamxOUpqOe4bkPN2QHO4YoyHgxmmzYEiJRQjsVsFzJ/q4Mhylyu/kI3ub8s7sHthay6neEI2B6fXT+ybivHZxRNXP0BSpwG61oEtJWjNw2a30jscZj6W4ZX0ltaVuAh47X8ooIRtqwMlUK9R0gzcuj2CzWNjdHGBTbQmxlI6mK3LCaCTJtw52kdbltJdHBg6bBY/DipSq1G6138nJniDdYzHODoRZW+nlupqrs1uv2W9NFR4e2FpLNKmxo0AihN1qweu0Ek5olOUEkav8ThriKvD+yPX1nOwOMhBKIKXkpxeGWRPwMBBK5I1laCY5wyJgXZWHf32jE4nkPdc3ZAc+b869ninzv9rvoqXCS0o3srN5KSWXhyJUeB2MhFO0Vvtw2dXK5roaP+OxFO/buQarRXBdtZ/hliSJtMHulgApzeCFM4OkdJ17NtUQSWp860AXBzvG2FDto3KeVOddzeXsai7naNc4/cEEVouYpMywpa6EkfAwt26ozMZAQnGV/3SiZ4JoQkMC66t9WZZaIiePJTmPPJ/mCi8Pbavjx2cGuGV9JaUeO8e7g7jsVqxC5VvZLOoexdM6F4fCHO0cZ+cMlUKDsTTfONBJSjO4c2P1rIKYMyFzn+1WC45F0ENcCiykdMCKHmRMvCGE+Afg20A0s1FKeXQxG3lkez1ff+0KXoeN758Y4FO3ruXOGQJyQyFVmOjyUIS/e+kie1rKuW9LYUvqqdjXWpEthdtWW8INawIcaB/FbrPitlup8Dm4a2N1Xo7/qd5gdtZ758ZqPnRjE6d6g7TV+Pn6a1e4NKQGmQ/tWYMtjyqi32Wfsbqkz6WKRbVUeFhb6WVfawUXh1SCZoXPyUgkScDjwGmz4HbYeMCc7fmcNrY3llLmsU9KLny7e4IDV5RumtdpZUt96aTVzXgsRdqcrQ6FE6Q0P08fU1n0D2ytZV2VD6fNyuN7mxkJJ1lT7kEAo9EUI9EkJaZ7rjHgZntjGVIyyX2Vu0IrBFaL4PG9TQyFkpMy0R/b2cCFwQibav1Ul7jY1RTgYPsY0aRGidtu1nfJP+k40D6WjRu0j8Syq4nhSDI7yLRUemmp8GTjbPmQqTcUTqTZZbLXhBCqzwMe1lf5eP+eNZR5HOxfV8GagGJbZRJ+LRYxKQB/qjfIhUG1+jveHaTMY1cro2o/VX4H92+pQUrJD04O0D4SYf/6yqJ0+3Y2Baj2O/E4bNmYUEozePXiCIZUNepvMM+3f30lhzvH8TntJDVJqdvG43ubsi7jTbUl9Afj/Oz8CG93T7C+2lc0A65jNEpjwMNgOMm7r29gXZWPgNdBicvOA1tr6RqNUeq28fzpQbxOGyd6JtjZHODSUJgfnR6kyufksZ0N2K0WxmOp7D0dMqnbxeKeTTWsrfRR7XcWtQK6VnAtDDL7zd9/krNNohSaFw1NFR5uXFvBhcEwdpuYtRLfTesq0AyD4XASj8PK6b4Qd26snpcqs8UiTFmNFH63jQqvkwe21jJ6QDGtdjYFZkwMzJ3pehxWGsrcNJh0Wp/TTonbhs85v4e2xGXnsevr6QvG2d2iBqLaHCkav8tGbamLYDxNc87L3CJEXveTe5Kt0x+71kof1zeVEU1q7GkpZzCUoG9CfWlP94WyM3afWfFTNyTRlMaH9jTRVuPnrStj2KwCp031w3zyLdK6QUozEEK5s0pcdloqJ9uamw8D6uWeod3uT+sMhhIzlgpuDLi5NBTB57Rlk2wNKdk2ZdXWF0zgd9k50RNEM+QkGnAGbbV+NMOYxIJ6/+41DIYS1JW6sy5SIcScsaKaEhcOm3JJ1Ze5WFPuoT+YQNMN7mirxu2wEk1q2YHoZE9w0iAjUUSCqeQH3ZDEUhp+l33aM2wR4LRb0JL6pOe4tdLLjWvL6SyJoulK5fnGtVcnQhaLwGNXg1UonqZjJFrw6jQDj8NqEhKsWCxikm7gxtoSNtaWcEdbFQhBIqVnySqn+0KkNIPeiTjD4ST1ZW6aKzzsbA4QiqcLpl9nVmOZASWU0Fhb6V2SXLyVgBU/yEgp71yutu7bUsO6ai81fhcuuxUpJZeGIvQFVWzD57TSPhpjW0Mpm+pUPODycHRBsv9n+kL8+MwAveNxKv1OGsrcPH5jE5/Y30JSM2adpW2o8fMLO61IJM0VXiZiKS4ORVhb6WVrfQmXhsI0lLl59dII6yp9k142w+EkR7vGaanw0lY7Pdg4Ek7yP797mkhS4/271vC+3ZPrijttVj66r5lYSpuTMpvUdIbCSdx2K9sbS1R+QijB7pZyrBbB+YEwibTO7RuqsoOD02bFahH0TsS4f8vkQcswJP/3cDcDwQQ7mwPcfl0V29eU8ezbvfzw1ADnB8NFxxDiKZ1vHuhkMJQgnjao8jl5ZEfdpAJVfRNxTvQEua7mauGqU71BxmMpdjeX43ZYZy2JcENTgNZKH7qUXByKsL2xDLfDSvtIlLWVXtpHoozHUmys9XO2P8S2RuVGfPZ4L4/dcLX/Q4k03zrQRSJt8OC2Wq6r8fP00W6OdI5z58bqbF33XPROxEmkdVorvdNcp1V+J5+8eS2aYWRdv/dOISV4HFbaav1cGY5kiRldozG6xmKMRVP825udXFfjw261UFPiYkt9Cd862MVIJMVN6yqo9DkIJzS2NZQyGErw0rkhdqwpo9Rtz8ZoQDHTPnxjE5GENmNe1oYaP6f7QtisYkYWYkozONo1js9pm+Z6vaOtipfPD7OuysuFwTA1ficXhiI0lXuoKXGR1HSOdk5wl9mXGTu21JfQMx6fVGJBCDEj6/REzwQDwQR711ZkV5GDoQRPHelBSsljOxu5PBThSOc45V4Hj+9tWpTyIflQLAV6MStprvhBBkAI8RCKzpyNikkp/2TmI+aHUDxN52gMw1DB2LeujPHciT4umzLjmaB0+0iUcFxlgAsBo5FU3tlmIegaiyKlqvfucVivMlPs1klL53BC4/VLI+xrrZjUTu7A8d23+xiLpjjaOc6Z/iChhMYzb/cRT+uc7g3y2dvXZd0OL5wZZDCU4Gx/KG/cqX0kSsSsh3G6P8j7mDzIgIqROGxz52Qc7ZzghdODXB6OcKx7nJoSFwGPA4fNwpWRKK9cGKYx4J5UT2cirvq0tsRN93iczTkMqISmM2Cy2hRBowqf08ZoJAVAj5ldXQxGIknCCY1IQmMinqbC66A/mMgOJoYh+dJPLxNKpDnb7+W37t7AQCjBC2cGlU1pY9qLOR9KPXaePNxNz3gcm1WtmBNpgxKXnZBJWd/eWMqv33W1mkXvlOsZCiWyQfPO0RijkSRfeaWdUCJN+2iM+jIPm+pKuDIc4eJQhCqfk1cuDiMl3N5WldfVpe7/zKteIQTvyimXnUjrPPN2L7oh0cxM9VcujFBb6uJ0Xwiv08qIeT+Odo6T1AxiKY1XLg5zsidIOKHx4plB/ulju6blpNitllkTf6v8Tn7ltpnzYECJtmak80vdk123r1wcoWc8zvOnBtjZFCCe0vC57DhsFj59WytvXBrlYMcYPWMxHtpen3UFr6/2T6Lgz4bRSJKXzg4BKraTmfT0jMez7rXe8Ti9JiNtLJoiltIpdf/8rWZW/CAjhPgy4AHuRGmYvQ84uNjtJNI6Pz4zyEBQvXjXlLuzy1qJWvpngnJehw3DHFTsNotKVJxnuzubA4zH0tzpqcJlt7KhxsdQSK0yNtT4svTSWErjYPsYpW57luY42/I6o1CRmbQ6bdZJKsmlbjuDoQQehxWbVTAQTHCgfZQ15R4zWF/GnrXlDEwkeN+u6QNMMShx20jrBoaUuOxXmUIDoQQnutVsb6p70m6xZKXPp16nx6GosFdGopPqqN+5sZozfaGsNE8GhiF55aLKIbm9TQ1IU9FQ5mZzfQkVPgc2iwr657phLg1HGAgmCCXSlLjsWCyKlp2xMePyOd49QcdolD0t5TO6zTKQEqJJHSEgpevZc+XOZh1WyzTZnOYKL9fV+Akn0uxsKqNzNJadeNgsFvwu9Xx+/0S/EsLUjeyzm0jpRJMab14eIa1Lbm+rmpfqsxBgs6qyET6njYYyN40BNz3jcRw2tZrZ2RygeyzG+iofzx7v43jPBA1lbnon4ngdNqRUL+CZiC0LQeZ6hUntzoXbbkXXlRvy4lAYw5CTJjEOm4XusRjD4SSHO8bY1liadUNnkEgr1ttME0uX3YrDpijZuTI/m+r8dI5GMSRsri+hrtTFm1dGaSovXl3hWsGKH2SA/VLK7UKIE1LKPxZC/BXwncVsoH0kyveO99ExEiXgtRNJ6pztD3HTugpsVsFoJMX6ah9rAm56JxKUeWxMxNLsW1uOZkhaKr3z1lyq9rt4784GRiMpakpcWC2Cf36tnWA8TcdolOtq/NkviRDq4f7KK5cRQvD+3Y2TRAZ3NQd49ngft22o5P4ttbx8fogdjaW47DYaApPjFPdvqWFTnQpe260WfnZhiL6JBFeGo7RWeomndX7tjvWLUn76uho/G2v99E3E8Ths/MLOBip8zqyrbEONj93NAXblzLADXhVw7h6PcUsecsL+9ZXsX3+1BEJKMyj3OnjvzoZpeUVXRiIcM4tseZzWvIQOi0Vw/xTyRiKt0zcRp7bEhc9po63ORyimYkYvnxtia0Mp92+poT+YYN/acmIpjZ+cU7PXcELjoybteSreta2Os/0hrBbBc8f7CCbSfPq2dXidNiZiKTbWXiUpBLwOqnxOwol01pVlt1p4KEdOp8Ln5I8e2sjFwSj3bqqmPuBBSolmGLSPxNjeUEJLlY9wIo3LbuULPzhL93icrfUl+Fy2aVn4hcBps/LB3Wvom0jwTaeNm9ZVcHEwTEullw3VPvwue9aNpBuSH5zsw223EE1o3LWxGguCsViKbx/q4YN71mQJAdGkxkAowZqAZ0Exir1ryynzqLyXqbTgezfVmMQWQc9EHJ/dSluNj90t5ditFva1VtA9FuP8QJhStx3vlO/A290TvHxuiHKvgw/dmF8dwOu08dG9zYzFUjQF3BzqGCOtGexZW857d16dtPmctgWrb690XAuDTMZXEBNC1AOjQHFaF3OgYySKbkgaA+5sUtvrl0ap9rvyyGDAN97qRDMkN62rmDSTng8yWfGjkRQbanw8vL2eKr+T0WiSGr8rO8Mv9zr48I1NdIxETRaWpHssPmmQ+fLPLjMcTnJ5OMLXPr6bX7p55m6yWS2T4g1Vfid9Ewn8LpVvc6IniM9p42M3NRfEeElpxoxkiaOd45zuD6EZimJttVqyvvTHb2wipRvTAsPBuMqJSesSj8PGzesn19SRUs3QM1/wp470MBhK0FLpmRS/AFVgzm4VpHVJVYGZ+boheeJgF+OxNJvq/DywtY6P39RCNKHxnLlCyAiRaobEZbeypyVAqdtOMJ6mehbar9dpY3dLOW9cGsHnsuNz2YmnlHbd1BlzLKXzzQNdOGwWPrK3acb41/51Vexfd/VZVcQ1xTgLJjRO9QaREnrG4rjsVpKani1ZndunSZOeXggqfM5ssP/Z433ZWfvUnCirRZAy773XZeVXbm3lVG+IQx1jJNI6veNxyr0ODEPyxKFuQvF03vuYi7lstVjEjIzCF86qvJRIUiMc1xiLpIim9WySsdUi+OCeNXSNxfC77NP6/MqwElIdi6YIxtJUlygb0rqBgOwkp9SjGH1n+0PZsu02q+UdUVYvFospY3MtDDLPCSHKgP8NHDG3fW2ug4QQfw3sBo5KKX9rpv0mYmkuD0fwO21UmgG9g+1jCEHeWXw0pWXrtIfmqLZXCDRDMhZVvusMNRoJE9EUayuuBmkzAVWPw0rnaAwhYE3AzVNHegCV85KhxOYmVxaKO9uq2VSnios9ZwpsRpIa8ZQ+4xc5ntIJxtNMxFL86LTK6B6LpvjhyX7u21KbdSV4HDaq/U5C8TRN5R7acrKaZyp6FU/pWUrz1H42DMl/Hu2hZzzOzuYyNlT7GAqrGE0+2m+Fz8nH97eQTBvZl+poNMUrF4ZnVI9O60a2muJgKMFAMEGp206FV9FMI0kNi8lCAxWMt1ktPL63ifFYipoCZOy31JfSNRbDbp1ZnVoz3YyneoP8+5udfOjGpoIk+oVQwfpIUmAVIisXtCbgocyTZlN9CbduqMxOUqSUPH2sl87RGLtbAkWtbtK6wem+IBYhZqTEt9X48dit+F12XHYr2xpK6RlX177BzG3SpcqtAgjF1e+JWApDTq6DJKXkO0d76RqLsaelnFs2FFfULyNflElUdtqshOIaoUQ6+4wIIWYkcexpKSeS1KgpcWXvRe9EnKeP9mCzWvjA7jWT7J3KAs1FUlNJv4m0zv1ban8uRTKvhUHmL4H/AtwKvAm8CnxptgOEEDsBr5TyViHEl4QQe6SUh/Ltm9R0wgmNG5rKuKOtGiklNaZ7JF+hrcaAh9uuq2I8mprxC1UM7FYL926u4dJQhBvWBOgYifLkkW5SmoHdZuVRzZjkNvC7lIAfwJHOsazu1tn+EP/tvjZ+dn6Yfa3lc0rKTIUQIkvNve26St68PEpDmXvGAGwirfONtzqJJLVsEmgwniatG5wbCLOlvjRLStjWWIrPZcvKvhSC2lIXd7RVMRpJsbd18swvntbpGY8jpeT/HuphfbUPr9NKTYlrGh04gxKXfZLinWaWMbi+qUz9bwpcdit3b6zhykgEzZB862BXdmX3wRvX0DehioOd7gtNehZcdmvBVUdLPXY+NEPdlwy8ThtlHjtOm4W0rhhTU916+SCEwGZVpIK2GhdNFV7iKZ2b1lXknTQkNSNbPuDiYKSoQSaa1Gmu8BKKp9nfmv+Ff+/mGo50jtNa6cuSWqZeu91q4V3b6rg8HGFHYxk94zH+80gvEsm7r2/IstASaSU9A0pvrthB5n5T/XxdlY+kppS5Wyo8/NsbHbMmA2ewplypgOQi42FI6zrdY7FJg0xzhZf3724krctJTDqAy0NRrgyr9L/jPcElLcPwTuFaGGT+FaVX9nfm3x8G/g34wCzH3AS8aH5+EdgHZAcZIcSngU8DlNfUY83hygsh8kq952LXDNm/88WW+tJsgP9Qx1g2ONpSMbtfuqFM/V9K5eqrK3UXVR5gJlT7XXNSgKNJLcs+K3PbsZm6WaByaCr9kwenqV+uQnDDDAl/XqeN65vKuDQYydaYt1ksRdOWa0pckzLsp2JbYynbGkt58nA3cHVlF/A6KKlV7S72szAVVovgA7vXKDmUlEHLLBTpXOiGJJLQqfQ5Cca1Od26LruVXc0BLg5FinbnOG0qU319tY+6svwruMaAp6AJxvpqX/b793b3xNWE1XAy+wy5HVZ2Nge4PA9bQU1gakuvDtRb6ku5NBTOrpxnSoKdDVvqS+gYjWK3XF2Z5WKma68rVekSad2g+ec0NiNmkl5fKRBCHJdS7phr25T//3fgiJTyeSHEPSjyQF7KsxBiGOicp3mVwMgyHbsTWIjKwUJsLaaNJuZv53LYmGmnEDuLtWcp9p/rvs+3z+Zz3EzH5Nq4XPdwPm0V8h0q5pxLte9OoKuI/d8JVKK8RXMuva6FlcwxIcQ+KeVbAEKIvcDrcxwzgSoJgPl7YqYdC+mkmSCEOCyl3L3cx67U9sw2WhZ4/JL3SaF2FmvPUu+/mOeYz3GFHLOcz/VStFXMOZdq3/nsv9wo5rt+LWT+7EXpl3UIITpQcZnbhRAnhRAnZjjmTeBu8/M9wFtLb+YqVrGKVaxiKq6FlcwDxR4gpTwqhEgIIV4FjkspFz15cxWrWMUqVjE3VvwgI6WcV7xkNtryIuIr79CxK7W9hbaxXH1SaDvF2rPU+y/mOeZzXCHHLOdzvRRtFXPOpdp3PvsvNwq2b8UH/lexilWsYhXXLq6FmMwqVrGKVaziGsXqILOKVaxiFatYMqwOMqtYxSpWsYolw4oP/K9iFatYxUqBEMILBIAJKWVkEc+7C6VMEkDl9b0lpTy8WOdfCswm1zVpv9XAf+GY74MghCiTUk6Ynx8GtgKXgafkEt2ApX5ohRBW4D1T2wCekVJqK8HGYu0s5j4Ve/2L/QwIIbZmzjHXF30+96pQe5f75biY7QkhPiel/BshxA7g71Glo2zAH0gpX52y713A/wRC5k8J4Af+TEr54nzPa+7/14ATJYEVNM99D6BLKX9zPte2mBBC5PN4CeB5KeW9cx6/OsgUhoU8CEKIn0gp7xJCfAEoA74L3Aw0Sil/aQ8u44MAABHQSURBVCXZWkQb/w6cAF6a0sYOKeVHV4KNxdpZzH0q9voX4xkQQjwvpXxACPE5VLLx981z9Eop/2Ax+qAYe5f75bjY7eVc44+BX5VSXhJCVALflVLePGXf14D7pJSxnG1e4Md59i34vOb+r0gpbyt0+3JDCBFDTUoEasDE/LxdSjm3SrCUcvWngB/glWK2T9nnJ+bvn03Z/rOF2LQUthbRxqvFbH8nbCzWzmLuU7HXvxjPQO45AGvO9tcW+14VYu9y3cOlag94G7gLODxl+7T+RA3Qe6ds2we8tJDzmtv/D/BlVNXf+8zfXwL+Zin6cR79dAQozbP9hUKOX43JFI7DZinoF7m6XL6bwsQgd5rqA5sybghzCbpwyeTFt7VQfFcI8RzwU7ONUuA24HsryMZi7SzmPhV7/YvxDGwWQvwbsA5wcLWg31zFa6baWgLcPouthdq7XPdwqdp7GlVC5Hs51+gHTuXZ96PAHwgh/hywAjpwHPj4As+LlPK3hRA3oNTjr0O5Ab8ipTw2z+tabDzM1WctFw8WcvCqu6wI5DwIpVz1B8/rQRBCeIANUsrji2hi7vkXzdZZ2qgEbkS5UyaAQ1LK4ZVk40LtnO0+LcL1F/UMCCH2A72ol9wuYD3QA4xLKZ+b5bhHUbPRHYXaKoR4N2qmmusemmbvct3Dd6q9VSwcqxTm4mAxf2yoL3phdWoBIcQWIcTGzN/ml3fu8onzx7xtLRRSyhEp5Q9Q/v4SoKXIUyy5jVCcncXcpyLP+6j5ks49PlbkJONPpZJZ+i3UIHMEqCP/bDoXXwaeQtVQsgNvFjAYfgl4SQjxjBDiF4UQgRnsXZZ7uBTtCSG2CiGeEkI8YQ7gme3TiiIKIT5k/l4jhHhSCPGKEOJZIcTmPPseFUL8iRDi+vna9vOE1ZVMgTCDjg6mB08LCfz/FVADaEAF8Ekp5XAmQLiSbC2ijXkFoZfTxmLtLOY+FXv9Qog+VN2iQZQ75Vkp5XiR1/KilPKezO+c7S9LKe+c5biXpZR3CiHWAu8FHgGSqED0P873mOW6hzk2LWp7QohXgF9C3e8vAKellJ/P1585wfzvAv9bSvm6EKIN5da6fcq+b6DKxT+GYuX9FHhaSvlasTb+XOCdDipdKz8sLPCfGyzdjnro9mAGV1eSrUW0kRuEtuRsnzUIvZw2FmtnMfep2OsHXjZ/rwX+m3nuH6HYR4Vey8eArwH/L/AN4FdQFNm/mOO4l/NsqwE+vZBjluseLlV7U+8VaoX4beBAnn3fBFqB16dsn5FAYn62ogbCL6IKKS56vxR4re8BNpufPw18O+d/JSh6+lrgL4BzqNX500DZQtteDfwXjoUEHW1CCIeUMiWlPCGEeAz1ktiyAm0tFLlBaCeFB6GX08Zi7SzmPs3r+qWU7cBfAX8lhKgB3l3ohUgp/10I8RJwP+qFbwO+Jud2uf15nnMNMruSbiHHXOuB/1NCiGZpKr1LKf9WCHGWq6Xec3EOlSdzfkowP99qdDDzQUqpm/a+mGe/ZYEQwoYaZJ4DzgBfBX5RCHGPVDk+fwL8s5SyXQjxAvCHUkpNCPG/gD8Efn9B7Zsj2SoKQE7QMRM8fROwybmT4W4EOqSUQznbbMAfyRnKQr9TthZx/uacP/ullCkhhA/47UKvaaltLNbOYu5TsdcvhLhfSvmjPNsLyppeqVgN/C8PhBAtwPPAAeAG4AIqFvc7KFemG3gD+IyUUgohfmr+fTPwY9TqOWj+/ALgBf4D+ARqZbxLSpma0uZjwPuklB9ZiO2rK5kCYdI3j5s/2c2oGz9X1uvhnHNkYKBojouOBdpaKLrztBmnwGtaJhuhODuLuU/FXv8LYnrmtAD+jMW93uXGNRv4nwlCiD+UUn7hndx3BrQBn5IqHvTPwK8C/5CZ1AiVdPswV6npZdKMFwkhNgDPSSmfyrHnR6j41numDjAmPolyHy4Iq4NM4YgwvYyzQPnuCz12WsbsolmXv71cLHZ7C72m5bAxt51C7Fyqfeez/4rHlED8WZT76peEEB+XSx/4X5T2RB6ZGuDry7lvEeiWUr5ufv4G8JtAuxDi9wAPUA6c5uogM9cA8UXgQSnly3ns/+8oQsQ3F2jz6iBTBM4Cj0kpg7kbTR/mUh47HyxHewttY7n6pJh2lmrf+ew/I4QQESmlL+fvTwC7pZS/Pssxj6ICv9NiLTn73AH8jpTy4Tz/+xyKSRXL2bxLTpc9edpkbS0FFrU9MVmm5hzmoIVKtPzN5di3SEyNbUjgH1H3vlsI8f8wOSYYneN8hvkzCUKIX0StiO6WixBPWR1kCsdCsl4XlDE7DyxHewttY7n6pJh2lmrf+ey/qJBSPgs8u4BTfA41e84dZK71wH8xg9ZS7VsMmoQQN0kp3wQ+DLwG7AdGzHjg+1D5UPkQRgl6zgohxAOoQP/tUyYU88bqIFMgpJT9M2yfU3F4IcfOB8vR3kLbWK4+Kaadpdp3PvvPF0KIKlTyZZO56XOmD/8TmKsdIcQ6lBvECvwQRVbIrIx8QoinUPkdR1ByKr8B1AMvCyFGpJlDIifLoWxgieVQlqC9Ygatpdq3GJxFscL+CbiISpgNACeBDmA2AskTwFeFEL+JCuZfnmG/f0Ctwl4QQoAiVnx2IUavsstWsYprDEIIHfViyaAcldz560KI/wD+UUr5mhCiCfiRlHLTlEHmOeCbUspvCSE+C/yllNJnusu+i6Js9wGvA79rnqvDPH5kii27UC/9AIrOuxxS/4vWXj6G40yD1lLtW6CdLajA/db5nuOdwupKZhWruPYQl1JmJUsyA4j55z2oHJ7Mv0vMfI5c3ITKmwBFY/3LnP8dlFL2mOd9GyWVkzdT/ech8G+++At6+S/Vvj/vWB1kikCeGeR7gCFUctN2FFtoAnhAShnJDdAKIbagsrMbUW6KbwB/LKWcFnhbJFt/CnwhNzfDDN7eBzRlZkRCiFtQUuMlpv1/J6X84lLYNIutmX61YboEpJSx5eo/8+XVKaX8G/PvH6GYPL9s/v1XKLmY/zPD8W9IKffn+1/OPh3kXwncAaSklG8s9DpMWICbpJST4j85g85cSOZ81pn9HXFNB/6vJUgpO1AuzGsOqwKZxSEupbw+56cDJUUxKKXcZr64PwWkcw8SQrhRQdc/l1JeB2xDqff+1hLa+i3gQ1O2fQil0ZSxqxY1k/2slHIjKnHrk2YS1nIi069bgRQwyQe8DP33BiqAmsl3qWRylv9+lOsoL+YaYObAHZm2Fwk/BrIsM5FfpPEtVEIeTH9GZkK+wPFhIcSXhRDvE0LcZ/7+Eksc+F/G9laxCFgdZBaOOpT8OgBSyvNSyuSUfR5HaR792NwnhnoR/O4S2vUU8LAQwglZn249Sho+g18D/kVKedS0awT4vSW2ay68ipKwz8VS99/rXH3Rb0HV/QgLIQJm/20CjgkhflcIcUgIcUII8ceZg4UQEfO3RQjxj0KI00KI54QQPxBCvC+nnd8QSqH3pBBio3lPPgv8VyHE20KIxUjO/U1gt2njGaYM2CY+B/y2EOIg6vkN5tlnKr4C/FAIkc2pkFL+NvBPQDVKFboKFYj/3AKvIS+Wu735QAjxHmEqMwshPi2E+HbO/0qEEJeFEh39/w1WB5ni4DZfBm8LIZ42t/0z8PtCiDeFEH8qVGbtVGxBMXWyMNkdbiFE2VIYKqUcBQ4CD5ibPoRKzsplekyzC5X1Pk2+fDkglITLg0x2ScIS95+Usg/QzED5fpS8zQFU7GI3SizwDhSj6UbgemCXEGKq6+a9qBjGNuCXzeNzMSKl3IliBf2OuRL+MvDX5kpuWv33Gez1Tfn7XzI5MlKVH/iglHK7lHJzhhmUuw9qUrRPSnkjcB5T6UBK+dPcHBkp5a9LKf/F/Pz3UsqNcrra889dxv98Ia5qhGW+P18FGoUQGcXsrEbYO2HfO4XVmExxmBRwBZBSvi2EaEXFOu4BDplc9rM5u+VmeTNl+1Ii4zL7rvn7k3naXwn0QrcZZAa1kpmaGb0c/ZdZzexHxagazM9BlDvtPvMnE8z1oQad3HjALcCTZpxoIHfWb+L/a+9OY+yewjiOf39RVKJSIZYIaZBYi6gIal9CSIQgRaxvxPJCJCVSEkXELikaW1JEbLFEiP0FtaQa0WIqligVJELbtLZooh4vnnOZuXOn9z937v9OZ/r7vJm7/O/5n97O3Oee85z/c54vPz8iA9JomQbcq0zUrGLw70Ul4yHx3+IcUxhZjbCTgSMkXUtOSV4CPFEWZxxDvvcbFAeZLoiI38kPkOcl/QOcSP4RNHxGbs37nxKYlkfEqhq79gJwl6T9gc0iYlH5I+rfrwMYeJHeNMo32x4aFLyb9OL9a+RlppLTZd+TRQV/JUerR5ILKR5YRxvtgl5jGrVdQr1WZcS0bxeaGq+J/17XCBvXPF02QpKmS9qy3N6EHCp/13TY48ChjWFzSWTfDVxXZ99K8Hub/JB8ssUhc4ELGslhSVsBNwE31tmvDvTi/Xuf/OBYGRFrI2IleY3DweT02evkoojGarcdJG3T1MZ7wGklN7MtGZjaqXQl9npqvCb+m2uEHQocJWmhpD7gaAYuDKlSI+zHaFEjbEPgIDNyuwDzyy/fYnIU8Fz/A8py0pOBayR9BSwnE9kjLj5XwZPkt9anmp+IvAr9HOBBSV+SF+DdHRHze9Cvynr0/vWRq8o+aHpsdclzvEGuxFtQ/q+fZXBweI5cWLGETFAvpH1S/SXg1C4m/nvpavJ3Zg9yBLxnuT+7jpP1MPE/VI2w0yNiKplrGXGNsA2Fr/gfBZJOIef9j4qyYdL6QNJl5Gqkw2OYWwP30vr6/gFI2rxcI7UVufBiekT8NNr9qkNZ/PIhOeKbBrxCfgE4OyKOr+mctVYYKNPJ3wKHRMQCSQ+RRS6vIhd1bER+EXk2ImaXnMzMRh8k3QMsioiHm9ock1frd4ODjFkXlQ+dyWSC+rbG6qzxSNJbjdVmkvrKt/wBj3f5fP0T/6vJxP+xwNouJ/5fIRd0HELWCDsXmEUunllG5uu+GyLITCdHOmsoNcIcZBxkzKwDyhpoH5AFFQ8iV2WtBGZExAnrem2H53unReJ/yMc7PMcUNuCAUAevLjOzTp1BXoe1lNzh83wyVzGjpvP1emsB6wKPZMxszFCL6sbAhIhYV5l7G0UOMmY2Jijryg16GHgtIo7rdX+sGk+XmdlY8TsDl5hDBpl9RqEvVpGDjJmNFZ8Dp0bEgGuPJL05Sv2xCjxdZmZjgqTtgRXNpVkkTYiatjK3kXOQMTOz2risjJmZ1cZBxszMauMgY2ZmtXGQMbNhkRRlT5XG/QmSfillZpB0Qbn/saQvJF3R79jZkma2aX9med0SSZ9IOq/L/Z8s6dJutmlDc5Axs+H6A9i77OsDcBy5pXN/T5eN6KaTWzTsWKVhSReX9g4s9cMOp/s7yE4mNyKzHnCQMbNOvAqcVG6fRetN8YiIFcDXwPYV250FXBoRv5bXr46IRwEkHSNpsaQ+SfMkbVoeXyZp63L7gFIZuTFqmifpbUnfSGpUar4F2KWMtG4f7j/chsdBxsw68RRwpqSJ5BX3C1sdJGknsmjmp+0alDQJmBQRS1s8NxF4hKzwPJW8kPySCv3cHTgeOBC4TtLG5GZrSyNiv4i4skIbNgIOMmY2bBHxKbmJ11nk/ivNZkj6DPgGmBMRf1VoVgzelbJhN+DbiPiq3H+UnEpr5+WIWBMRy4GfgW0rvMa6yEHGzDr1InAHrafKno6IvYDDgDslbdeusTJF9oeknVs8va68zN/8/1k2sem5Nf1ur8WltHrOQcbMOjUPuCEi+oY6ICIWAI8Bl1ds82ZgrqQtACRtIekicgvkKZJ2LcedC8wvt5eR2z8DnFbhHL8Bkyr2x0bIQcbMOhIRP0TEnAqH3gpcWHIu7dwHvAV8KGkJGUj+LNNtFwLPSOoD/gHuL6+5Hpgj6V1ytNKu3yuA98sSaSf+a+baZWZmVhuPZMzMrDZOgplZz0maS16o2d+ciHh4NPpj9fF0mZmZ1cbTZWZmVhsHGTMzq42DjJmZ1cZBxszMavMvbrEZZxJemn8AAAAASUVORK5CYII=\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "#Generate a new variable (named partY) of random noise\n",
    "partY = [0.768859, 0.60486561, 0.15325245, 0.66189752, 0.89810853, 0.11422123, 0.31119881, 0.20650689, 0.05953708, 0.10369902, 0.83617412, 0.21907312, 0.46062318, 0.16459764, 0.11475662, 0.32602877, 0.1862892, 0.56405248, 0.70415234, 0.48521105, 0.11239133, 0.9749657, 0.92001053, 0.24164227, 0.23319068, 0.33785921, 0.76831297, 0.30354785, 0.92978203, 0.92112873, 0.17946731, 0.94350679, 0.43987106, 0.15146802, 0.62006774, 0.32521727, 0.12059762, 0.31409227, 0.2695788, 0.63683474] \n",
    "\n",
    "#Add variable partY to the existing brainsize.csv dataset.\n",
    "df=pd.DataFrame(data)\n",
    "df['partY']=partY\n",
    "#print(df)\n",
    "\n",
    "#Generate a second new  variable (named partY2) of random noise \n",
    "partY2 = [0.60461387, 0.03476205, 0.50915241, 0.85357779, 0.93385739, 0.08269333, 0.39313068, 0.20427569, 0.54949987, 0.43341312, 0.229072, 0.69993817, 0.99787148, 0.13652784, 0.20812236, 0.17196096, 0.40343073, 0.34837977, 0.21046515, 0.11259314, 0.32378094, 0.78866602, 0.23102371, 0.0024239, 0.49548205, 0.33161719, 0.09306875, 0.20674004, 0.02591862, 0.62301725, 0.07961433, 0.40098676, 0.30038796, 0.20005093, 0.46202719, 0.36550646, 0.42730613, 0.43085197, 0.39046564, 0.98777078]\n",
    "\n",
    "#Add variable partY2 to the existing brainsize.csv dataset.\n",
    "df=pd.DataFrame(data)\n",
    "df['partY2']=partY2\n",
    "#print(df)\n",
    "\n",
    "#This command was originally used to create the random variable. Here, it is commented out so as to not create a new random variable when you run the code again\n",
    "#First variable:\n",
    "#ran_floats = np.random.rand (40,1)\n",
    "#partY = ran_floats\n",
    "# For second variable\"\n",
    "# ran_floats = np.random.rand (40,1)\n",
    "# partY2 = ran_floats\n",
    "# print(partY2)\n",
    "\n",
    "#Lets plot all variables to get a first idea\n",
    "pdplt.scatter_matrix(data[['FSIQ', 'VIQ', 'PIQ', 'Weight', 'Height', 'MRI_Count', 'partY', 'partY2']]);\n",
    "\n",
    "#Lets look at the main stats for our variables (including the new variable partY)\n",
    "data.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will now check the distribution of Performance IQ."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "NormaltestResult(statistic=11.681588179999903, pvalue=0.002906533659856713)"
     },
     "metadata": {},
     "execution_count": 5
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# Check the distribution of the PIQ score\n",
    "sns.distplot(data['PIQ'])\n",
    "stats.normaltest(data['PIQ'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After removing participants who have missing data for height and weight, we will calculate the Body Mass Index (BMI), add it to our data set and check the BMI distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "NormaltestResult(statistic=4.623344498151376, pvalue=0.0990954007340673)"
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "source": [
    "# Remove participants with missing data for BMI calculation\n",
    "data = data.drop([1,20], axis=0)\n",
    "#print(data)\n",
    "\n",
    "# Calculate BMI indexe with the height and weight variable\n",
    "#BMI Formula: weight (lb) / [height (in)]2 x 703\n",
    "BMI =  data['Weight']/data['Height']/data['Height']*703\n",
    "#print(BMI)\n",
    "\n",
    "#Add new BMI variable to the data frame\n",
    "df=pd.DataFrame(data)\n",
    "df['BMI']=BMI\n",
    "#print(df)\n",
    "\n",
    "# Check the distribution of BMI \n",
    "#sns.distplot(BMI)\n",
    "stats.normaltest(BMI)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will now check the initial relationship between BMI and brain size as well as with PIQ, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "0.25957540098523474 0.1155360517456729\n0.17731995090032088 0.2868634621102736\n"
    }
   ],
   "source": [
    "# As the distribution for both variables are not normal, we will use the spearman correlation\n",
    "#Spearman's correlation coefficient for non gaussian variables\n",
    "corr, _ = spearmanr(data['BMI'], data['MRI_Count'])\n",
    "print(corr, _)\n",
    "corr, _ = spearmanr(data['BMI'], data['PIQ'])\n",
    "print(corr, _)\n",
    "\n",
    "# #Plot brain size as a function of BMI\n",
    "# plt.figure(2)\n",
    "# plt.subplot(1,2,1)\n",
    "# sns.regplot(data['BMI'], data['MRI_Count'])\n",
    "\n",
    "# # Plot PIQ as a function of BMI.\n",
    "# plt.subplot(1,2,2)\n",
    "# sns.regplot(data['BMI'], data['PIQ'])\n",
    "# plt.subplots_adjust(left=0.1, right=1.5)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will now decide the threshold for including socially active people (partY score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "#We decided to exclude non-partY people. But what's the threshold for low-partY?\n",
    "#partY<20% ? partY<50% ?\n",
    "#Lets check what is the best threshold to define a low vs high partY score, for partY based exclusion to be most effective for both PIQ and MRI_Count.\n",
    "pval=np.zeros((90,3))\n",
    "thresh=np.zeros((90,1))\n",
    "\n",
    "for i in range(0, 90):\n",
    "    pval[i,0]=i\n",
    "    thresh[i]=0.05\n",
    "    datakeep1=data[data['partY']<1-0/100] #1-i/100\n",
    "    datakeep=datakeep1[datakeep1['partY']>i/100]\n",
    "\n",
    "    model = smf.ols('BMI ~ '+ 'PIQ', data=datakeep).fit()\n",
    "    fres = model.pvalues\n",
    "    pval[i,1]=(fres['PIQ'])\n",
    "\n",
    "    model2 = smf.ols('BMI ~ '+ 'MRI_Count', data=datakeep).fit()\n",
    "    fres = model2.pvalues\n",
    "    pval[i,2]=(fres['MRI_Count'])\n",
    "\n",
    "# Lets plot the evoluton of p-values for both variables along the choice of the partY threshold.  \n",
    "plt.figure(2)\n",
    "plt.title( 'Evolution of p-values for MRI_Count and PIQ', fontsize=15)\n",
    "plt.xlabel('Percentage of partY based exclusion', fontsize=15)\n",
    "plt.ylabel('p-values', fontsize=15)\n",
    "plt.plot(pval[:,1])\n",
    "plt.plot(pval[:,2])\n",
    "plt.plot(thresh)\n",
    "plt.show()\n",
    "#print(pval)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Threshold of 25% gives significant results for both variables"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Results of the study."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "OLS Regression Results                            \n==============================================================================\nDep. Variable:                    BMI   R-squared:                       0.237\nModel:                            OLS   Adj. R-squared:                  0.203\nMethod:                 Least Squares   F-statistic:                     6.849\nDate:                Sat, 30 May 2020   Prob (F-statistic):             0.0157\nTime:                        22:48:07   Log-Likelihood:                -51.722\nNo. Observations:                  24   AIC:                             107.4\nDf Residuals:                      22   BIC:                             109.8\nDf Model:                           1                                         \nCovariance Type:            nonrobust                                         \n==============================================================================\n                 coef    std err          t      P>|t|      [0.025      0.975]\n------------------------------------------------------------------------------\nIntercept     17.0243      2.263      7.524      0.000      12.332      21.717\nPIQ            0.0539      0.021      2.617      0.016       0.011       0.097\n==============================================================================\nOmnibus:                        3.254   Durbin-Watson:                   1.578\nProb(Omnibus):                  0.197   Jarque-Bera (JB):                1.635\nSkew:                           0.524   Prob(JB):                        0.442\nKurtosis:                       3.733   Cond. No.                         558.\n==============================================================================\n\nWarnings:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n                            OLS Regression Results                            \n==============================================================================\nDep. Variable:                    BMI   R-squared:                       0.179\nModel:                            OLS   Adj. R-squared:                  0.142\nMethod:                 Least Squares   F-statistic:                     4.805\nDate:                Sat, 30 May 2020   Prob (F-statistic):             0.0393\nTime:                        22:48:07   Log-Likelihood:                -52.604\nNo. Observations:                  24   AIC:                             109.2\nDf Residuals:                      22   BIC:                             111.6\nDf Model:                           1                                         \nCovariance Type:            nonrobust                                         \n==============================================================================\n                 coef    std err          t      P>|t|      [0.025      0.975]\n------------------------------------------------------------------------------\nIntercept     10.0396      5.853      1.715      0.100      -2.099      22.178\nMRI_Count   1.419e-05   6.47e-06      2.192      0.039    7.65e-07    2.76e-05\n==============================================================================\nOmnibus:                        6.522   Durbin-Watson:                   1.644\nProb(Omnibus):                  0.038   Jarque-Bera (JB):                4.474\nSkew:                           0.781   Prob(JB):                        0.107\nKurtosis:                       4.426   Cond. No.                     1.15e+07\n==============================================================================\n\nWarnings:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n[2] The condition number is large, 1.15e+07. This might indicate that there are\nstrong multicollinearity or other numerical problems.\n"
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "#Now, lets keep the data of interest: High partY score.\n",
    "#We are excluding 25% of individuals with low partY scores.\n",
    "datakeep=data[data['partY']>25/100]\n",
    "\n",
    "#Lets report the relationship of how the BMI is associated to PIQ for individuals with a high partY score. \n",
    "#Lets report the relationship of how the BMI is associated to brain size (MRI_Count) for individuals with a high partY score. \n",
    "model = smf.ols('BMI ~ '+ 'PIQ', data=datakeep).fit()\n",
    "model2 = smf.ols('BMI ~ '+ 'MRI_Count', data=datakeep).fit()\n",
    "print(model.summary())\n",
    "print(model2.summary())\n",
    "\n",
    "\n",
    "#Lets plot the figure.\n",
    "plt.figure(2)\n",
    "thisvar='MRI_Count'\n",
    "plt.subplot(1,2,1)\n",
    "sns.regplot(datakeep['BMI'], datakeep[thisvar])\n",
    "plt.title( 'a)'+ 'Brain size' +' as a function of BMI', fontsize=15)\n",
    "plt.xlabel('Body Mass Index (BMI)', fontsize=15)\n",
    "plt.ylabel('Brain size ('+thisvar+')', fontsize=15)\n",
    "\n",
    "\n",
    "thisvar2='PIQ'\n",
    "plt.subplot(1,2,2)\n",
    "sns.regplot(datakeep['BMI'], datakeep[thisvar2])\n",
    "plt.title( 'b)'+ thisvar2 + ' as a function of BMI', fontsize=15)\n",
    "plt.xlabel('Body Mass Index (BMI)', fontsize=15)\n",
    "plt.ylabel('PIQ', fontsize=15)\n",
    "\n",
    "plt.subplots_adjust(left=0.1, right=2)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both relationships, brain size as a function of BMI and PIQ as a function of BMI are significant (p<0.05) when only investigating socially active people (partY)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lets check the relationship using the second variable party2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "OLS Regression Results                            \n==============================================================================\nDep. Variable:                    BMI   R-squared:                       0.022\nModel:                            OLS   Adj. R-squared:                 -0.024\nMethod:                 Least Squares   F-statistic:                    0.4795\nDate:                Sat, 30 May 2020   Prob (F-statistic):              0.496\nTime:                        22:48:08   Log-Likelihood:                -53.837\nNo. Observations:                  23   AIC:                             111.7\nDf Residuals:                      21   BIC:                             113.9\nDf Model:                           1                                         \nCovariance Type:            nonrobust                                         \n==============================================================================\n                 coef    std err          t      P>|t|      [0.025      0.975]\n------------------------------------------------------------------------------\nIntercept     17.0690      8.160      2.092      0.049       0.098      34.040\nMRI_Count   6.059e-06   8.75e-06      0.692      0.496   -1.21e-05    2.43e-05\n==============================================================================\nOmnibus:                        3.744   Durbin-Watson:                   1.817\nProb(Omnibus):                  0.154   Jarque-Bera (JB):                1.943\nSkew:                           0.561   Prob(JB):                        0.379\nKurtosis:                       3.878   Cond. No.                     1.39e+07\n==============================================================================\n\nWarnings:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n[2] The condition number is large, 1.39e+07. This might indicate that there are\nstrong multicollinearity or other numerical problems.\n                            OLS Regression Results                            \n==============================================================================\nDep. Variable:                    BMI   R-squared:                       0.095\nModel:                            OLS   Adj. R-squared:                  0.052\nMethod:                 Least Squares   F-statistic:                     2.206\nDate:                Sat, 30 May 2020   Prob (F-statistic):              0.152\nTime:                        22:48:08   Log-Likelihood:                -52.948\nNo. Observations:                  23   AIC:                             109.9\nDf Residuals:                      21   BIC:                             112.2\nDf Model:                           1                                         \nCovariance Type:            nonrobust                                         \n==============================================================================\n                 coef    std err          t      P>|t|      [0.025      0.975]\n------------------------------------------------------------------------------\nIntercept     18.5203      2.868      6.457      0.000      12.556      24.485\nPIQ            0.0363      0.024      1.485      0.152      -0.015       0.087\n==============================================================================\nOmnibus:                        1.834   Durbin-Watson:                   1.731\nProb(Omnibus):                  0.400   Jarque-Bera (JB):                0.562\nSkew:                           0.095   Prob(JB):                        0.755\nKurtosis:                       3.742   Cond. No.                         637.\n==============================================================================\n\nWarnings:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
    }
   ],
   "source": [
    "# Lets exclude 25% of the individuals with a low party score\n",
    "datakeep2=data[data['partY2']>25/100]\n",
    "\n",
    "\n",
    "#Lets report the relationship of how the BMI is associated to PIQ and brain size (MRI_count) respectively, for individuals with a high partY2 score. \n",
    "thisvar='MRI_Count'\n",
    "thisvar2='PIQ'\n",
    "\n",
    "model = smf.ols('BMI ~ '+ thisvar, data=datakeep2).fit()\n",
    "model2 = smf.ols('BMI ~ '+ thisvar2, data=datakeep2).fit()\n",
    "print(model.summary())\n",
    "print(model2.summary())\n",
    "\n",
    "#Lets plot the figure\n",
    "# plt.figure(2)\n",
    "\n",
    "# thisvar='MRI_Count'\n",
    "# plt.subplot(1,2,1)\n",
    "# sns.regplot(datakeep2['BMI'], datakeep2[thisvar])\n",
    "# plt.title( thisvar + ' as a function of BMI', fontsize=15)\n",
    "# plt.xlabel('Body Mass Index (BMI)', fontsize=15)\n",
    "# plt.ylabel('Brain size ('+thisvar+')', fontsize=15)\n",
    "\n",
    "\n",
    "# thisvar='PIQ'\n",
    "# plt.subplot(1,2,2)\n",
    "# sns.regplot(datakeep2['BMI'], datakeep2[thisvar])\n",
    "# plt.title( thisvar + ' as a function of BMI', fontsize=15)\n",
    "# plt.xlabel('Body Mass Index (BMI)', fontsize=15)\n",
    "# plt.ylabel('Brain size ('+thisvar+')', fontsize=15)\n",
    "\n",
    "# plt.subplots_adjust(left=0.1, right=2)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both relationships, brain size as a function of BMI and PIQ as a function of BMI are not significant (p>0.05) when using the second variable (partY2)."
   ]
  }
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