{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "\n",
    "<a href='http://www.pieriandata.com'><img src='../Pierian_Data_Logo.png'/></a>\n",
    "___\n",
    "<center><em>Copyright by Pierian Data Inc.</em></center>\n",
    "<center><em>For more information, visit us at <a href='http://www.pieriandata.com'>www.pieriandata.com</a></em></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hierarchal Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('../DATA/cluster_mpg.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "    }\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>mpg</th>\n",
       "      <th>cylinders</th>\n",
       "      <th>displacement</th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>acceleration</th>\n",
       "      <th>model_year</th>\n",
       "      <th>origin</th>\n",
       "      <th>name</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>18.0</td>\n",
       "      <td>8</td>\n",
       "      <td>307.0</td>\n",
       "      <td>130.0</td>\n",
       "      <td>3504</td>\n",
       "      <td>12.0</td>\n",
       "      <td>70</td>\n",
       "      <td>usa</td>\n",
       "      <td>chevrolet chevelle malibu</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>15.0</td>\n",
       "      <td>8</td>\n",
       "      <td>350.0</td>\n",
       "      <td>165.0</td>\n",
       "      <td>3693</td>\n",
       "      <td>11.5</td>\n",
       "      <td>70</td>\n",
       "      <td>usa</td>\n",
       "      <td>buick skylark 320</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>18.0</td>\n",
       "      <td>8</td>\n",
       "      <td>318.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3436</td>\n",
       "      <td>11.0</td>\n",
       "      <td>70</td>\n",
       "      <td>usa</td>\n",
       "      <td>plymouth satellite</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>16.0</td>\n",
       "      <td>8</td>\n",
       "      <td>304.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3433</td>\n",
       "      <td>12.0</td>\n",
       "      <td>70</td>\n",
       "      <td>usa</td>\n",
       "      <td>amc rebel sst</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>17.0</td>\n",
       "      <td>8</td>\n",
       "      <td>302.0</td>\n",
       "      <td>140.0</td>\n",
       "      <td>3449</td>\n",
       "      <td>10.5</td>\n",
       "      <td>70</td>\n",
       "      <td>usa</td>\n",
       "      <td>ford torino</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    mpg  cylinders  displacement  horsepower  weight  acceleration  \\\n",
       "0  18.0          8         307.0       130.0    3504          12.0   \n",
       "1  15.0          8         350.0       165.0    3693          11.5   \n",
       "2  18.0          8         318.0       150.0    3436          11.0   \n",
       "3  16.0          8         304.0       150.0    3433          12.0   \n",
       "4  17.0          8         302.0       140.0    3449          10.5   \n",
       "\n",
       "   model_year origin                       name  \n",
       "0          70    usa  chevrolet chevelle malibu  \n",
       "1          70    usa          buick skylark 320  \n",
       "2          70    usa         plymouth satellite  \n",
       "3          70    usa              amc rebel sst  \n",
       "4          70    usa                ford torino  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mpg</th>\n",
       "      <th>cylinders</th>\n",
       "      <th>displacement</th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>acceleration</th>\n",
       "      <th>model_year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>23.445918</td>\n",
       "      <td>5.471939</td>\n",
       "      <td>194.411990</td>\n",
       "      <td>104.469388</td>\n",
       "      <td>2977.584184</td>\n",
       "      <td>15.541327</td>\n",
       "      <td>75.979592</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>7.805007</td>\n",
       "      <td>1.705783</td>\n",
       "      <td>104.644004</td>\n",
       "      <td>38.491160</td>\n",
       "      <td>849.402560</td>\n",
       "      <td>2.758864</td>\n",
       "      <td>3.683737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>9.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>68.000000</td>\n",
       "      <td>46.000000</td>\n",
       "      <td>1613.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>70.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>17.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>105.000000</td>\n",
       "      <td>75.000000</td>\n",
       "      <td>2225.250000</td>\n",
       "      <td>13.775000</td>\n",
       "      <td>73.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>22.750000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>151.000000</td>\n",
       "      <td>93.500000</td>\n",
       "      <td>2803.500000</td>\n",
       "      <td>15.500000</td>\n",
       "      <td>76.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>29.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>275.750000</td>\n",
       "      <td>126.000000</td>\n",
       "      <td>3614.750000</td>\n",
       "      <td>17.025000</td>\n",
       "      <td>79.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>46.600000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>455.000000</td>\n",
       "      <td>230.000000</td>\n",
       "      <td>5140.000000</td>\n",
       "      <td>24.800000</td>\n",
       "      <td>82.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              mpg   cylinders  displacement  horsepower       weight  \\\n",
       "count  392.000000  392.000000    392.000000  392.000000   392.000000   \n",
       "mean    23.445918    5.471939    194.411990  104.469388  2977.584184   \n",
       "std      7.805007    1.705783    104.644004   38.491160   849.402560   \n",
       "min      9.000000    3.000000     68.000000   46.000000  1613.000000   \n",
       "25%     17.000000    4.000000    105.000000   75.000000  2225.250000   \n",
       "50%     22.750000    4.000000    151.000000   93.500000  2803.500000   \n",
       "75%     29.000000    8.000000    275.750000  126.000000  3614.750000   \n",
       "max     46.600000    8.000000    455.000000  230.000000  5140.000000   \n",
       "\n",
       "       acceleration  model_year  \n",
       "count    392.000000  392.000000  \n",
       "mean      15.541327   75.979592  \n",
       "std        2.758864    3.683737  \n",
       "min        8.000000   70.000000  \n",
       "25%       13.775000   73.000000  \n",
       "50%       15.500000   76.000000  \n",
       "75%       17.025000   79.000000  \n",
       "max       24.800000   82.000000  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "usa       245\n",
       "japan      79\n",
       "europe     68\n",
       "Name: origin, dtype: int64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['origin'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_w_dummies = pd.get_dummies(df.drop('name',axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mpg</th>\n",
       "      <th>cylinders</th>\n",
       "      <th>displacement</th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>acceleration</th>\n",
       "      <th>model_year</th>\n",
       "      <th>origin_europe</th>\n",
       "      <th>origin_japan</th>\n",
       "      <th>origin_usa</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>18.0</td>\n",
       "      <td>8</td>\n",
       "      <td>307.0</td>\n",
       "      <td>130.0</td>\n",
       "      <td>3504</td>\n",
       "      <td>12.0</td>\n",
       "      <td>70</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>15.0</td>\n",
       "      <td>8</td>\n",
       "      <td>350.0</td>\n",
       "      <td>165.0</td>\n",
       "      <td>3693</td>\n",
       "      <td>11.5</td>\n",
       "      <td>70</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>18.0</td>\n",
       "      <td>8</td>\n",
       "      <td>318.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3436</td>\n",
       "      <td>11.0</td>\n",
       "      <td>70</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>16.0</td>\n",
       "      <td>8</td>\n",
       "      <td>304.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>3433</td>\n",
       "      <td>12.0</td>\n",
       "      <td>70</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>17.0</td>\n",
       "      <td>8</td>\n",
       "      <td>302.0</td>\n",
       "      <td>140.0</td>\n",
       "      <td>3449</td>\n",
       "      <td>10.5</td>\n",
       "      <td>70</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>387</th>\n",
       "      <td>27.0</td>\n",
       "      <td>4</td>\n",
       "      <td>140.0</td>\n",
       "      <td>86.0</td>\n",
       "      <td>2790</td>\n",
       "      <td>15.6</td>\n",
       "      <td>82</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>388</th>\n",
       "      <td>44.0</td>\n",
       "      <td>4</td>\n",
       "      <td>97.0</td>\n",
       "      <td>52.0</td>\n",
       "      <td>2130</td>\n",
       "      <td>24.6</td>\n",
       "      <td>82</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>389</th>\n",
       "      <td>32.0</td>\n",
       "      <td>4</td>\n",
       "      <td>135.0</td>\n",
       "      <td>84.0</td>\n",
       "      <td>2295</td>\n",
       "      <td>11.6</td>\n",
       "      <td>82</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>390</th>\n",
       "      <td>28.0</td>\n",
       "      <td>4</td>\n",
       "      <td>120.0</td>\n",
       "      <td>79.0</td>\n",
       "      <td>2625</td>\n",
       "      <td>18.6</td>\n",
       "      <td>82</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>391</th>\n",
       "      <td>31.0</td>\n",
       "      <td>4</td>\n",
       "      <td>119.0</td>\n",
       "      <td>82.0</td>\n",
       "      <td>2720</td>\n",
       "      <td>19.4</td>\n",
       "      <td>82</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>392 rows × 10 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      mpg  cylinders  displacement  horsepower  weight  acceleration  \\\n",
       "0    18.0          8         307.0       130.0    3504          12.0   \n",
       "1    15.0          8         350.0       165.0    3693          11.5   \n",
       "2    18.0          8         318.0       150.0    3436          11.0   \n",
       "3    16.0          8         304.0       150.0    3433          12.0   \n",
       "4    17.0          8         302.0       140.0    3449          10.5   \n",
       "..    ...        ...           ...         ...     ...           ...   \n",
       "387  27.0          4         140.0        86.0    2790          15.6   \n",
       "388  44.0          4          97.0        52.0    2130          24.6   \n",
       "389  32.0          4         135.0        84.0    2295          11.6   \n",
       "390  28.0          4         120.0        79.0    2625          18.6   \n",
       "391  31.0          4         119.0        82.0    2720          19.4   \n",
       "\n",
       "     model_year  origin_europe  origin_japan  origin_usa  \n",
       "0            70              0             0           1  \n",
       "1            70              0             0           1  \n",
       "2            70              0             0           1  \n",
       "3            70              0             0           1  \n",
       "4            70              0             0           1  \n",
       "..          ...            ...           ...         ...  \n",
       "387          82              0             0           1  \n",
       "388          82              1             0           0  \n",
       "389          82              0             0           1  \n",
       "390          82              0             0           1  \n",
       "391          82              0             0           1  \n",
       "\n",
       "[392 rows x 10 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_w_dummies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = MinMaxScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaled_data = scaler.fit_transform(df_w_dummies)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.2393617 , 1.        , 0.61757106, ..., 0.        , 0.        ,\n",
       "        1.        ],\n",
       "       [0.15957447, 1.        , 0.72868217, ..., 0.        , 0.        ,\n",
       "        1.        ],\n",
       "       [0.2393617 , 1.        , 0.64599483, ..., 0.        , 0.        ,\n",
       "        1.        ],\n",
       "       ...,\n",
       "       [0.61170213, 0.2       , 0.17312661, ..., 0.        , 0.        ,\n",
       "        1.        ],\n",
       "       [0.50531915, 0.2       , 0.13436693, ..., 0.        , 0.        ,\n",
       "        1.        ],\n",
       "       [0.58510638, 0.2       , 0.13178295, ..., 0.        , 0.        ,\n",
       "        1.        ]])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaled_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaled_df = pd.DataFrame(scaled_data,columns=df_w_dummies.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,8))\n",
    "sns.heatmap(scaled_df,cmap='magma');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.matrix.ClusterGrid at 0x1a8a23ef2b0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.clustermap(scaled_df,row_cluster=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.matrix.ClusterGrid at 0x1a8a45f21c0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.clustermap(scaled_df,col_cluster=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using Scikit-Learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = AgglomerativeClustering(n_clusters=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_labels = model.fit_predict(scaled_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 0, 0, 0, 3, 2, 2, 2,\n",
       "       2, 2, 0, 1, 1, 1, 1, 3, 0, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1,\n",
       "       0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 2, 0, 3, 0, 2, 0, 0, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 2, 2, 0, 3, 3, 0, 3, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 0, 3,\n",
       "       3, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 3, 1, 0, 0, 0, 3, 0, 3, 0, 0,\n",
       "       0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 0, 2, 2, 3, 3, 2, 0, 0, 0, 0,\n",
       "       1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 3, 0, 0, 0, 3, 2, 3, 0, 2, 0, 2,\n",
       "       2, 2, 2, 3, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 3, 0,\n",
       "       0, 0, 0, 2, 3, 3, 0, 2, 1, 2, 3, 2, 1, 1, 1, 1, 3, 0, 2, 0, 3, 1,\n",
       "       1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 3, 0, 0, 0, 3, 2, 3, 2, 3,\n",
       "       2, 0, 3, 3, 3, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1,\n",
       "       0, 3, 3, 0, 3, 0, 0, 3, 2, 2, 2, 2, 2, 3, 0, 0, 0, 0, 0, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 2, 3, 0, 0, 2, 1, 2, 1, 0, 0, 3, 2, 0, 0, 0, 0, 2,\n",
       "       3, 0, 3, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 0, 3, 2, 2, 2, 2, 3, 3, 2,\n",
       "       3, 3, 2, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 2, 3, 3,\n",
       "       3, 3, 2, 2, 3, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0,\n",
       "       3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0], dtype=int64)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='mpg', ylabel='weight'>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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tJdZUt+h6JxigZnc7DYf30HB4DzW7ty0ZxIs21WG5OUuLrwfr+Uz1DHL8v3ydvldOLQrYA+SmUnQ/d4zj/+2bZMenSuqjbAIuBz7+aMlB2lAizoGPv69oiWc7XQ1g/PzpZQP289Y+McbEpeI91I3r0HrPobIDw9HGWmp2bSsaFE8NlNlNxlrS/T3lTfF9fM9n5Mwlrj7zCpeffIHrz77GZM8gUKiAsNlizXVFqygsO3eJ3wsiNytrLVd+/NKKAfu5cpNJTn/xB9gt8DoXEREREREREZHNYW7WvquyOYwxHcBVgKtXr9LR0bHJKxKRjZZPZ3n1j76I9TwiDTW0HD1I45G9BCIhfM/HmOky+ukMA2+co/+1M6RHxnGCAe7+u5/EDQU3+y7cEKzvkx4e580//TZednGwfimh6jhHPvsRAtFw0Qxw6/kkh0Y5//Ufkx4eX3ZcoqOFvb/0HgKRcNEMUWstU1cukh0bKWm9M6JtHUQam1dsnWB9n9GL1zn3tR9h/eLvbQKxCEc+8yGCVfFl122tT3ZslKkrF8taLwDGUHvoTpzAyhsfrO9jPZ/rP3ud/jfOLdkzPtpUR9t9t9F0x77y17HGznzlh4xeKL9YT+dH3kX9gZ2FahoiN7l8KsOr//6L2BI2Sc2145H7aLnnsLLtRURERERERES2uGvXrrF9+/aZb7evRYVzlccXEZE15YaDNBzcRaShhva330l6dILunx9j8MSF2Z7jwaooTUf20nz0IG33H+HaT18jO5ksGuCUtxjH4dKTL5QcsAfIjk9x/dnX2Pm+B4pmTBvXIdpQy52/9THGL/fQ+8opJrsH8HN53HCQml3baL33MLHmenzPLynIZL082bHRktc7IzM0QKSxZeX1Og61e9rZ//FHufDNZ1Ys7R9trOXAx9+3YsAewBiH7Ohw2esFwFqyo8OE6xuXL73v+3jZHKe+8H2SfcvfTmpghIvffZbJ7gF2P/72ytazBnzPp+WeQ2UH7QOxCA0Hd22ZMv8i68n3fPpeO112wB6g77UztN1/ZB1WJSIiIiIiIiIiW52iIyIisrasZddjb8O4Ll3ff47+Y2en+9S/JTeZovv543S/cIKWowfZ+b77C2Xb1cq+JNZaMmOTjF/qLnvu4IkL7HjPfSUFUGcC2ontLSR2tM7Lzre+nf15lRSwt3a6L3z5FX78bIbc5DjBquoVKwQYx6FmRxtHf/sTDJ3sov+104Xy8tZiXJfaPe203HOIml3bSt9okM+Xvd7ZdeeLb6g48+Ufrhiwn6v/9TMEYhE63nG0aKWE9eC4DrV7Omg4vIehkyVWHzCGPR94uJIfu8gNyXEdht68UNHczMg4kz0DVLU1rfGqRERERERERERkq1PQXkRE1pRxHJyg4dxfPcXI2SsrD7aWvldPkUum2ffRd2/I+m4K1tL/6umKpnrZHIMnL9J4pLPkUuVLBfiNU17Q2BhDPjlV1py5vOQUwXiipAoBBmg4vJum2/cCzAvQW7+Q/Vpy+elVxMZXCqz7ns/wmUtMdg+Udc6eF47Tdt9tBKLhyhe2CtZaOj/0DoCigXvjOnR+8B3U7uko+/kiciPLTqYqnzs+hW1t3JSNOSIiIiIiIiIisnkUtBcRkTXlez69L54oHrCfY/h0Fz0vNdFy9yH18i2BcRxSw2MVz08PjW1K5vNMwLyyuV5Z4+duSJj7nCqnRLu1FjccIT81+daVxhCqqStk/bsu1lpsPk92bIT81MT8NYQjywb9Hdeh75VTJa9ldk3TpbfbHrh9U14rxhgssPcj76Lh0G56Xzm1qOKDGwrSeKST1vtuI1xTpYC9SFn0ehERERERERERuRUpaC8iImvKGENvBcHIvpdP0nrv4XVY0c1pNQFw39+cVgSmxMz+Jec6lc9djXB9E5nhQYwbINLUQqiuEcd1Gb/aS24yhXEcIvXVVHceIJ9MkhkZIDM0gHEDhGrqls2WzYxOMHm9v6I1Dbxxjva337mau7UqM/epdk8Hdft2kBmbZKp3ED/nEYiGSexoLWwoMEbZwnJLCtdUkewvre3FQpG6hF43IiIiIiIiIiK3IAXtRURkzfiez+j5q+Qmk2XPzYxNMtZ1nepd23DKyIa+FVlrCcYiFc8PRiMbnmlvfZ9gVYLc+GhF84OJmqKl8deaMYZALE6wupZoawfWs/Q8f5z+Y2fJLSh/HWupp+XoQRpv30uwqoZ8auVWAOnRiRWPryQ7Pll8UAV8z5tXocBaC9YuW53ATGf6h2uqCFXHwZbfNkHkZuN7Pk137OPyky+UPTfWXEesuX4dViUiIiIiIiIiIludgvYiIrJmjIHRi9cqnj964RrVO9vWcEU3J+tbGg7tYfDEhYrmN9y2ZzbgulGM4xCubyTZex3KrBLgRmMEYvF1WtnKrO8T79hNcmCYM195knwyveS4ZN8wXd9/jv5jZzn4q48SqSqWLVv5rgm7xhsurO9jrWXoZBdDp7rIJ9+qINB89CCJ9uZFAf2FjDGq6i1CofVF0x37uPrMK/i5fFlzm48eLPpaExERERERERGRm5OC9iIismaM4+BlchXP9zK5snqO36oc16FmTzuhmiqyY+VlXVfvbCNSm1inlRVhHMJ1jWSGyisLH2lsxvp+yc8N61ssFi/nMdw9RC6dJVIVpb69Aetb3EDpATFrITM+yekvPoGXyRYdP9UzyOkvPcHh3/jgiuNCico3IYSqYhXPnctaizGG7ueP0/vim+TTmXnHJ7sHGDxxgWhTHbve/yCJ9ma9PkVK4AQCtL/9Tq4+80rJc2LN9TTdvk8BexERERERERGRW5SC9iIismas7+MEKw84OMEA1rcYVym7K/E9H+t5bHvwdi794OelTzSGbQ/eTj6TxQ0FN6VvcqytAy81RT65cvn4GeH6RsJ1jSWf3/qWoe5BXvzm85x4+hjZ1FuB9kRDNUcfu4d7P3g/4VikpOC94zpc+v5zJQXsZ0z1DtHz4gnaHri90Nt9CdGGWmLNdST7R0o+74zGI51lbWJYjjGGC9/5KYPHz684LjUwwukv/IC9H303dXu3K3AvUoRxDNvedge5VJreF98sOj7aWMvBT7wf1F5CREREREREROSWpU9dRURkzVhrqWotPcC6ULytkQ1vtn4DMo5h4MR5Wo4epOXewyXP2/m++0lsb2X4zCWsV16J+rVQKKFuSOw5QLC6tuj4SFMr8Y5dZd3Gs19+hv/7b/0Rr37vpXkBe4CJoXF+8hc/5o/++r+l69gF/CKPgbWW9Mg441d6y1oDQP/rZ1bs7+57Ps1HD5Z9Xoyh5Z5Dqw6cW9/n+nPHigbs544//81nSA+PY8tsbyByq9r5yP10fuRdxFoaljzuRkK03n8bt336QwSiYRxtiBERERERERERuWUp015ERNaM47o03rGPK8+8jJ8tr5evGw7ReNselQYugTGG0XNXyY5Pset9DxCujtP98zfIpzJLjg9Vx9nxnvuo27+TC996hmA8Crd1bvCqC4wxWCCxay/5dIrMYB+Z0eHZPvcmECRc30ikoRkTKP1tivUtz375GZ7586eKjs2ls3z59/+CT/3ep9lx287lM+6tpfeVUyWvYa7s+BRjF69Rs7t9yQC74zo03b6P3pfeJD08XvJ5m+/cvybl8a21JWUAz5uT9+h+/jh7Pvjwqm9f5FZRf2AnjYf3MNk7yMiZy+TTWZyAS6y5nobDu2c3M21G5RMREREREREREdk6FLQXEZE15bgOjbd10v/ambLmNd2xT0GLMjgBl57nj5ObSrHzvQ/QcvdBhk5fYujEBbJTKYyBcE2Cpjv2UdvZQS6Z5sxXfsj4pW7aHjiyqQUNZn7ObjhCrH0n8Y5ds9nbxnFme62Xyvo+g9cGSwrYz/A9n7/6gy/z33/ud5Zfp+OQ6h8u+ZwLTfUNU71zG2a55FljOPjJxzn5598lOzZZ9Hy1e7ez6/0PVryeGb7nMXTy4qIe9qUYOt3FzkcfIBAOrXodIreCmY1o8eZ6Yo11YAwzv4C1SU1ERERERERERGYoaC8iImvK93y2v+seJq70khoaK2lOrLmejoePFvrZqzpwUb7nE22qY+TcFQaPn2f49CUaDu+h5Z5DNH1y77yx41d6OP/NZxg5e2U2MB5tqoMtsD9ibmB+bjZ6uZs3LPDiN39e9u0nx5OcfPYEhx8+smy2vZ/3yj5vqXMd1yEYj3LkMx/m8pMvLNu2IBCL0HL3QdofuqvitVjrY6ZfXI7rMnSyq7Lz5D2Gz1yi8ba9OK5erCKlMo6jv28iIiIiIiIiIrIsBe1FRGTN+J5H36unSLQ3c/BTj3PmK0+S7BtacU68rZEDv/I+pnoHSQ6O0nzXfmUfFuG4Di1HD9L98zfAWvxcnvFL3URqExgDgUgYayGfTDN68Trjl3tmA/aBSJiGQ7u3xGM8k1Hve3lsPg/G4ASC05mopQfvvWyeE88cr2gNL3/7RW5/953LHg9EwxWdt9S5jutgIiE6P/xOdj36IP2vn2Gqbwg/l8eNhKjr3E79wV1A+ZsZoPAYgyU7MkJ2bBiMIbFrL7lkuuxzzchPpcFuYqkGERERERERERERkZuMgvYiIrJmjHFIDYzQ/dwx9v3SI9z26Q8yfPoSfa+dZvJa/7yxie0ttNx9iLr9Oxnrus75bzxN422dKpFfolAiRm1nB+mRcXa8575CCfzJJEOnushNpsAYwrVVbHvwdjoePsrw6S6u/PhlGrbAY2ynA765iTEyg/3kJuf0dDeGUE09kcZmArF4SaXyB68NkktnK1pLz/nryx7zPY+6fTsYvXCtonPXH9iJKSEbfabKQCAapvX+2woZucZgrcX6/rwqBKWaedzSA72kB/qwXh4AJxiavs3KnwOVrEdERERERERERERElqegvYiIrB1TKN3uZXKc+fITNB7ZS8vdB7ntNz5IemSc7EQSDIQScSK1CSa7B+j63s8YfPNCIWPcq7wU+a3Gej67H387TiBAZnScc1//MaPnrmD9+RnQV556iYZDu9n29ju57bMfJhB+K5N9M1hrsZ7HRNdZvFRyqQFkR4fIjg4Rqq0nvn130cB9tsKAPUw/X/PekuXxHdel8chervz4ZbxMebdRs7udcHVV2euZWwHBGIOpsCKCMYbJq5fIjgzOu9738lhridRXM9UzuMzslUXqa1YV9BcRERERERERERGR+RS0FxGRteNbApFCSXDrWwbeOMfAG+eo2dNOy9GDs+XCkwMjdH3/OcYvdc+bHoiGCwHaDV/4jce4DsFYhNEL1zj3jaexy/RP93N5Bt44x8i5Kxz8xGMEY5FNy7S31oLvM37hNH6meHn27Ogw1veo2rl3xXGReKTiNbnBwLL97KGQkd5y9ADdz5dXfr/twdsrzpJfLWst6YHeRQF7AHyf7PgozXcdYOjNi2WfO1hVqPCgoL2IiIiIiIiIiIjI2lF9UxERWTsGGg7tmv22ekcrez/6bg78yvuo2bWNUHUV4eoqandv48DHH2XvR95FYnvL7PiGg7sxRn+aSuF7HpM9g5z7+o+XDdjPlU9lOP2lH5CbTC3Kxt9IU9evlBSwn5EbHyMz1I/1/WXHNO1oJl5bflY7wJ6jnSseN45Dxzvvobazo+Rzbn/PvVTvaN3EMvKFoP1yskMDVG9vJdpYW/aZm+/aP9veQERERERERERERETWhjLtRURkzRjHoXpHG5GGGtoeOELzHfuZuN7Pxe88y9DpS9jp8vcm4NJwaDctRw9y+Nc/QN+rp+k/doaqbU2bfA9uHI7rcuWpl7De8sHshfKpDNeefY09H3h4HVe2POt7ZMeGy56XHuon0tiy7HFrLXe9/25+9uWflH3u+z78IL7n46zUe97A/o+9l8tPvkD/62eX3UAQiITZ/p57abpj3yZWM/DJjgzPvtaWkpscJ59KsfPRBzjzpSdK3sQRqa+h7f4jKz9WIiIiIiIiIiIiIlI2Be1FRGRN+Z7HgV95lGA8wpmvPsno+auLxti8x+Dx8wweP0/dgZ3s/dA7qdmzDd/z5vX0lqVZa0kNjTF5vb/sucOnutj1vgdww6F1WNnyrPXJDA1ABVnafiZDbnKCQLxqyWC4G3C570MP8MLXnyOfzZd83oaORvbctXKmPRT6w2MMOx99kPZ3HKX/1dMMneoiN5XCOA7h2gTNd+2n4fCeQh/6TQrYF9bqkB0bKTpu6loXiT0H2PuRd3P+Wz9ZMcgPhYD9oU89jlmhlYCIiIiIiIiIiIiIVEZBexERWVOO6xKqjnP6i99n4mpf0fEjZy5zJv0kBz/x/k0sJ36DsZb+104vujre1kjtnnbcSBisJZ9MM3z2Cunhsdkxft5j8MQFmu7av6EbJIxxyE9NVjw/PzVBIBaHZQLiseoYv/Q7H+er//uXViylPyNaHeOT/+I38PLeij3t5zLGEIxGaHvwDtofumvesaLZ+hvIz+eKjvFSSSYvnad2bydHPvMhup8/zvCZS4sqNwSrojTfeYC2+49ggi7ODfYatdaCBeMYrLWzGyq0QUhERERERERERES2EgXtRURkTVnf5/qzr5UUsJ8xfrmH6z9/g20P3rFlAp9bmXEcMmOTs5cbj3TScs8h4i0N5NNpbC6HNeAGQ2x/972MX+6h95VTjJy9DEB6bGJT1l1KMH35uStngjuuy777D/CJ//nX+Pof/iXpydSyYxs6Gvnk//wbVDfWlBywn39bi5+j6/m8tb5fKGFvCpsfjFMkk7/ETP/81ATjF04Tbd5G54fewc5HH2DkzGVyyTTGcYg01FDX2YG163v/1oP1fYzjkBoao/elNxk+cwkvncU4hkh9Dc13HaDpjn04AVebhUTkluJ7fqHqjSm8h9jM6jAiIiIiIiIi8hYF7UVEZE1Za+l//UzZ8/pfO0372+5chxXdnKxvcSMh9n/svSTam8mODjN+/hT55NS8ccFEDZH6Rvb90nsYOnmRi999FkrsYb7WVhMcNU7x4LrjOOy+q5O//6e/w4mn3+CV775Iz4UesBbHddhz917u+9CD7Dnaie/5FQXsN8pMhrifzzNydk4gvb6amt3tWN8uGUi31uKGwngLngfL8TNppq5eJNkTJNLQRMPh3bOPtXFMIaCzpvds/fm+j817nPv6jxi7eG3eMetbUoOjXH7yBa4+8wo73nMfzUcPKGglIje1mWowmfEpxi5eI5/J4gYDJDpaiDXXb6lqMSIiIiIiIiK3KgXtRURkzfiex/CpLvKpTNlzc5MpRs5dpnbvDn1wXIS1lnBNnO3vfIxIXYLx86fw0ktnlucmxshNjBGoqqb+wB6cYID08HhFveVXt2afQFWC3MRY8cFLCFRVl5RB7rouuHD7e+7krkfvxlpLPpsnGA4CheeoMWZrB+w9n8zYJN0vHGfo5EX8XH7e8VB1nOY7D9B632Ec18UseL2EG5rIjg6Xd5v5HOmhASLNbTd0ANv6Fuv5nPyz75LsX/kx8HN5Lj3xc7xsjrYHjtzQ91tEZDnWWiau9tLz4gnGLl5fdDze1kjL3Ydoun3vvDYiIiIiIiIiIrKxFLQXEZE1Y4xh/EpvxfPHL/dSu3fHGq7oJmUt7Q/dhRsOMnHhNH62+CaJ/OQ4k5fPU7d3P142v+ElwY1xiNQ3kertBltemXw3EiUYrypvznRQ3hgzG7AHtnwfc+v7jF3q5tzXf7woWD8jOz7FtZ++ytDJCxz81OMEo5HZwL0xhmA8gRuO4GXSZd12uL5x1evfdAa6vvezogH7ua4+/TKJjmaqtjWpVL6I3HSu/fQ1up87tuzxqZ5BLn7np4yev8reX3wXFhS4FxEREREREdkE+mRSRETWjHEcvGyu4vleNle8X7dgHIdgPEqq91pJAfsZ+alJ0gO9uOFAoUf6RnMcwnX1ZU8LNzRj/fIC/Tci3/OZ7Bnk7NeeWjZgP1dqaIxTX/g+vufNu976PrH2HVBGYXsnFCba1HrDB2ryyTTDp7vKntfz4gkF7EXkpmKtpfv54ysG7OcaPnOJC9/+6Q3/d0BERERERETkRqVPJ0VEZM1Y38cNBYsPXIYb2qRg8g3G+j7W88ougQ6QGR4ADGzS5ojYth24kWjJ40O19UQabo0MaMd1uPTE89gFQfiVpIfG6HnhOL731qYG4zgE4gniO3aX1FLACYVJ7Dmwac+JteJ7Pn2vnq7od8jIuatkp5ZuMSEiciPy0lmu/eTVsuYMnbzIxLW+W2KjnIiIiIiIiMhWc/N/Ai4iIhvGWktie0vF8xPbWwEF7UuRGR6oqC+9n8uRGx8tJZa75owxYAzVnQcJxBNFx4frm4hv342t4H7eaKxfyLJP9g2VPbf/2NlFP09jDKGaOqr3HiJUW79k8N4EgkSa26jZdxgnGMCYG/ttoeM6jF68Vtlkaxm7cA1fgSoRuQm8tYmp/N9pvS+fKmnDl4iIiIiIiIisLfW0FxGRNeO4Lg2H93D5Ry/ipbNlzQ3Go9Qf2HlLZFSvlnEc8smpiufnk1MEEzXlVE9fM8YYrONQ3XmA3NQEmcF+suOjsxsQjOMSqmsg0tiMG45s/AI3izH0v3a6oqm5yRQj569St3f7vNePMQY3EiW+fTexbTvIjo1g8zkwBjccIVhdOzvuZuFlyvu9M1c+kwXfakuriNzwHNeh/9iZiuaOnL2Ml8kRiITWeFUiIiIiIiIishIF7UVEZE0ZY2i+Yz89L54oa17TnfuVZF+OVWQEb3bZ25kgcSBWRWBHFXFrsb4HGIzrburaNosxhtTQWMXz00Nj2D0dLEyWn3msTSBAuL7hrdeYMTdVsH6GE6z8ra0TCCi7VERuCr7nkR2vbHOf9X2y45MEIvVrvCoRERERERERWYlyiUREZG0ZQ8e77qZqW1PJUxLbW2h/6C6MuzX+LNnp/uC5VJrkwAjJwRHy05UDNjvgPWM1we2tEhg304Fj4zg4gSBOIPDWdVs0eOpP95vPTaVIDoyQGhrFy+aw1q76ubGa+aXMNcbBONNfW/TxXQ3rW+KtjRXPr9rWhHFuvsdFRG491l/dLkjf2xrvdURERERERERuJcq0F5Fbmu95OAsCmL7n42yR4PGNaKZv+cFPPc65v/wRY5e6Vxxf29nBvo++Z0skuFrfB2MYvXiN3ldOMT537cZQt3c7LfccombXNqxvNy3AZ32fQFU12bGRiuYXSuNvgQf8BjITFB85c5neV08xea1/9phxHOoO7KT1nsMkOpqx1lYUFA/GKm8HEIhGNqXdwVbTes8hBo6dLXtevLWReIuySkXk5uAGA5iAi817Fc1fzd8jEREREREREamMgvYickuyvsXP5ek/doaB4+fJjk1isYSq4jQe6aTl6EHcSOimzEbdCMZxcICDn3yM8au99L18kpFzV2Yzv9YqyLmWrO/jZXKc/vITTPUMLjHAMnLuCiPnrlCzexv7fvm9ODjzeohvGGMI1zWQ6rk2XVa+dG4kSjBetU4Luzn5nk8+meb0l35AanB00XHr+wyf6mL4VBf1B3fT+eF3glNer3jf86k/uIvRC9fKXp9xHOoP7lq0AelWYxxDrLmeqm1NTHYPlDW35Z5DS27iEhG5EVlrqT+wk6E3L5Y9N9ZcT7hG7xNERERERERENpqC9iJyS+r++TG6f/4G/oIMpPTwGNd+8irXf/Y6LfccZsd77gXKC75JwUwwO9HeTKKjBT+XJ5/KABCIRXACLtjpIP5mB+ytxc97nPyL75EaKJ69PtbVzZkvPcHBTz2+OcnN1mKtJdzQSHqgr6yp4YZm8pksTsBVgLIEhc0cWd78s++QHZssOn74dBd+Ps/+j723rNtxXIeGw3u48qOXyKczZc2t27+DQDRc1pyble/57PnQO3jzc9/Gy2RLmlO3bweNRzrX5PfQUhuQrO9vzuYeEbl1WWi993BFQfvmuw9qE5OIiIiIiIjIJtAniCJyy7n0w+e59tPXFgXs57KeT++LJ7jwzWc2PaB8o5vpn+2GgoRrqgjXVBXKtk73Mt8SLFz58UslBexnTFzro/vnxzal76txHEbOXiHa0k4gnih5XqiugUhDUyGbe3Xtbm8ZxnHo+sFzJQXsZ4yev0r/a6fxvfKqIBhjaL3vtrLXt+3BO2Y3wGw0axc//+30ppLN4LgO4ZoEh379FwjGo0XH1x/Yyd6PvntVtzlzX/1cllTvdUZPH2fkzdcYOfk64xfOkB0f3dTHRERuPcYxVLU1Ub2jtax5oeo4TUf2KmAvIiIiIiIisgmUaS8itwzf8xg62UXfK6dKnjN0qotYawOt996mPvc3Md/zGDxxoex5/a+fof3td67DioobOHEOYwy1+/Yyde0SuSL97cONLcTaOuj++Rtkp1LUH9i5QSu9seWmUoycvVL2vL5XT9Ny96Gy5hjHof2hO0kPjzH4ZgnPR2PY88GHiTXXbfgGmEIA2pIdGSEz3E8+lQRrMa5LMFFDpLGFQCy+Ka0vHNch2lDLnb/1y/QfO0vfa2fIjIy/NcAYajs7aL33EDW72le1RmstWMvk1S6yo8OLjufzE+SnJkgGAsTbdxKsrtVGMBHZENb32fex93Ly899ZsrXLQoFYhIOffAz0O0pERERERERkUyhoLyK3DMd16XnxRNnz+l4+Sdt9R9ZhRbIV+J7HwBvn8HP5sufmJlMMn71C3b4dG7qpw1pLMBrh3DeeZtf7H6Tl6EFyySmyw4NkRofAL2Q/m0CAcF0jobpG3HCYq8+8Qs/zx+l4591bJtN+yXLi1seYzd8k43s+fa+eqiiLPTU4ysS1Pqq2NWOc0gMg1lo6P/xOwnUJel86uWyJ90hdNTsffZCaXW2bErDPTYwxdfUS1pv/urGeR3Z0mOzoMIFYnKpde8F1K/p52jntM2aC46XeV8d1wA3Rcs9h2u4/QnJghHwyjQm4RGoTBONR7MzrZJUB+4mLZ8knV67EYPN5Ji9fIN6xi1BdgwL3IrLujOPgBgPc9ukPcfF7P2PkzCWsv/Tfs+odrez54DsIVsW0SVVERERERERkkyhoLyK3BOv7TPYMllX+fEZ2IsnI+SvUdW7H6IPMm45xHCav91c8f/J6P3X7tq/hioqzvqXh8B4GT1zg0g9+zsCxszTffZDGw53EO3biex4GMK5LPpNl4NhZ+l87Q3o627jh8J5NfS7PBOr9XJb0YD/Z0WH8fA4wuOEw4bpGwvWNMN1aYbM4rsPEtcqfGxNX+4i3NmKc0ssMz9zf9rffybYH72DwzQsMnbxIbiqFcR0iddU033WAml3b8L2N75VurSU7NsLUleX7JDuhMIF4FcYNkB7sJ9LUAo4p+Wc5s2kjn5wkOzqMzefBGNxwhHBDE8YtvH0t5XwzwadYU92iY2vx2E1dv1w0YD9v/LXLuNEYbiSqwL2IrDvjODgB2PuRd5FPPkDfq6cZ67qOl8nihIJUtTXRcu9hovXV+J6vgL2IiIiIiIjIJlLQXkRuCdbaikpczxg5d4W6vTvWcEWyVRSCx+Vn2c/wsrlNKf9ds7udcE0VmbFJpnqH6Pruz7jy1EtUb28lEA1jrSWfTDN+uQc//1Zv9epd24jUJjZ0vXPNZE9PXr1EdmRw4VG8dIpkz1WSvdeJtm4j2lReP961tqrnxirmGsfBONB4pJPmO/fPOzaTIb7RwRVrLX4uy9TVriWPB6trCDc0E0rUYH2/kIVvTFmbFqy1ZEdHSPf34GXSi46n+noIVtcQa9uOEwpuakWGmaoCZc4iPdBHfPuu9ViSiMgiMxuUgvEo295+Jx3vODp7zPr+bDl8BexFRERERERENpeC9iJySzDGkE9nKp7vZbJllbiWG4e1FjcUrHi+Gw4VMsfXcE2lsL5l29vuoOv7z81e56WzjJxbYXOKMbS/7Q6s529qpv3kpXPkJsZXHmR9Uj3XsPk80db2TctKdsOreG6s4nk1w3EXB7zLzRBfWGZ+5rGspA1BerB/cbsAxyGxs5NgoobcxBgTl86TGx99a71ugHB9A+GGFpxgcMWfZaqvm3R/z0r3htz4KONTEyT2HMCNRDYlcG+tT2ZoiceiBNmxYWLt22crBoiIbJSFgfmNrtYiIiIiIiIiIsvTp4Uickuw1uIESs/2XMhx3SV7b8uNz/o+1bu2MfjmhYrm1+zetinPC8d1aL7rAKnhcXpfPFHSnF3vfxuJ7a2btgHFWkuq93rxgP0c6YFeArE4weraDX+cfc+neuc2xrq6K5pf29mxNdoQZNKFNgRjw1ivUHXBCYUJNzQRrm8qZPWX8thau7g6gnGo3nMAJxhi7NwpvNTU4mlenvRAH+mBPiJNrcTaOpZca2Z4oEjAfs5435IZHiTa0o6Z82527gaF9WSMQ3bOxoSyWEtufIxQbb3+poiIiIiIiIiIiAigoL2I3EJiLfWVz22ux/o+ZomsV7mxOa5Lw+HdXPnRi2VXYwjXJqjd3b5OKyvNzkfuI1wT5/rPjpFPLi4nDoV17njkPur27djcIOF0YLZc6YE+QjWLe5KvN8d1aD56gGvPvoad02KgFFXbmpbso75RrLVgLROXL8zLep/hZzOkeq6R6r1OtLW9pDYE+eTUbNB/Rnz7LpxQiPHzp/GzxV8/6YFerO8Tb1/cbiTVV9rmiHBDE9HmdnAMw6cvMXz6ErlkGsd1iNTX0HL3QWLN9even3nhY1He3HwhS19BexEREREREREREWEDg/bGGB/wgTustSdLnNMJnAN8a602GIhIxRzXpfFwJ1d+9BJeJlvWXDOd0bxUmWq5ORhjaL5rP93PHy9rXss9h/A9b9OfGy1HD9Jy9CDDZy4zeOI82ckUxkC4poqmuw5Qu7sd3/M3NWBvfZ/M6FBFgc58chIvncIJRzb8PrihII2H9zDwxrmy5rXee3jTnhszAfvxC2eWzHxfMLjQhsDziLasXDXCevl53zuhMOHaeiYunS8pYD8jM9RPsCpBsLoGYxys75MdH8Xm80XnRlq2EWvZRvfP36DnpTcXbVQZv9JL/+tniLc1svuxtxFrrl+38s+rei46DhveU0NERERERERERES2rI0OhFf68aQ+1hSRVTOOoemOvfS+VNK+oVn1B3bhRkLrtCrZKjreeTeT3QOMX+ktaXzdgZ203nt4nVdVmpmgZN3+nTQc2j3vmO/7wOI+thvNOA658bGK52fHR4k0tmxKZvLORx9kqm+IZN9wSeOb7zpAw+E967yqlSW7rxQP2M+R7u8hEK8iWFW9fDB6QfA73NCEl80smclf9PYG+2erJxjHITsyVHROuKGZWMs2LnznpwweP7/i2KmeQU7+2XfZ/yvvo3p765q3KbDW4kZjeJmlq1sUE4jE0NtbERERERERERERmbG5n+CXzm72AkTkJmAMHQ/fTaShpuQpoeo4O997f6GMsdy8jGGye4D9H3+UugM7iw5vunM/+37x3Uxc7dtSz42lAvPOOmUZV2J15cQrn7saxhiM63D41z9A9c62YoNpe+AIux9/+8YsbhnW98gsDIIbgxuNE6yqJlCVwA1HFs1LD/StmD0eiM4JNBtDuK6RzPDgsuNXkp+awMukZ3vQ+7mVK6AYxyXa2s61n71eNGA/w897nP3aj8hMTM3ezloKNzRVNM+NxgjE4upnLyIiIiIiIiIiIrO2esn5xul/S08VExFZhjEGJ+By+Nd+gdNf+gHJ/pEVx4drExz65GO4kfC6lVeWrSGfTHPqC99n5/seZP8vPcJU3xB9r55m6ORF/FyhZLcbDtF4+15ajh4g2lDL9eeO0fP8cY7+3U/i6vlRklW9jjYxwOk4DjZgOPSpx5nsHqD3lZMMn76E9QpVDALRME137qf1nkMEq2Kbtk4Aa30yQwOzm0mcUJhwQxPhukacwPy3ffl0isxQfyHA7/vkJ8fxshmcYGjJgLJxAwSra8iNj+IEAjiBAPnJ8YrXmpsYJ9zQSCkZ56G6BvAtvS++WdZt+Nk8PS8cZ9ejD67pc8gYQzBe2PxQVra9MURbO7DWKmgvIiIiIiIiIiIiszYjaF9SqpMxJg783elvL6zfckTkVmJch0A0zG2f/jCDJ87T9+ppkv3zS15H6mtoufsgTXfux3GcNS+rLFuL73n0vX4G6/lc+sFzDB4/R8vdB9n16IPsfuxteJkcmELQ3s/lGXzzIue/8czs82bwxAWa7ti76X3tt7qZcuK5icpK5AeisU0N3BuncNvx1kY6P/ROOj/4DrxsHuMY3FAQ6/tbYnOPMQ65iUIgPda2nUhTC142S3qwj+zocKFvvAE3HCFc30SsbTvR1namrnSRmxgjNz5KuL5p2cc60thSKIfvFJ7vdrr9QiWs7xXeFRpwgiG8dGrZseH6RgbfvICXWTkjfymDb15gxyP3r/nmGmt94tt3M37hDNiVHwcTCBBpbCFc14hxXSav95ObSuMEXKKNtYRrqvA9f9PbWIiIiIiIiIiIiMjmWLegvTHm4jKHnjDG5IpMDwPNFMr3W+Bba7k2Ebm1GcfBONB4+16a7zpAcmCEzOgE1lrCNVXEWxrwPU9B2FuEcRxSA6Oz3092DzDZPcDlH71I9c5tBKIhsJBPpRm71F0I4s+RGly5YsNGmQn4ZSemyE6mMMYQqo4TjEW2RDDQGEOkoYl0f0/5c4NBgtW1WyIzeSZ4jzEEIqE512+dYKv1PeI7dhOqrmPyateS/eLzySnyySmSPVeJtW2natdepq52rdiGwBhDsCpBuKGJ3Hhh88Vq7reZCfxbn3B947IbOkwgSCAaY+hUV0W342fzjJy9TMOh3Wv6czLGwY3GSOzey+SlC4VNCEtwI1Gqdu7Fz3tc//lxBo6dJTc1f4NC9c42Wu45RN2+HdPn3vznuoiIiIiIiIiIiGyc9cy037XEdQZoL/M8zwN/sOrViIgsMBOUjzXVEWuqW/KY3PyMMUsGKvOpDMOniwcJredjSijvvV6s74OF4dNd9L16msnr/W8dNIaa3e203nOImj3tYOcEnTeBEwxNl1cvL9s+Ut/EbEq2FBVuaCZUXcfEpXPkJydWHGs9j6lrl7BennjHLrJjo0XPH9u2gyRXsJ5HIFZFPllZF6NAVQKMKWwGqK7FBILY/OJ9nTNl/RcGusuRS6axvsWs8d4KYwyBeIKaA7eRHuwnMzyI9fKzx51QmMTu/Uz2DnH2qz9atlLA+OUexi/3ULt3O/s++h5wHQXuRUREREREREREbiHrGbT/3ILvP0PhE/dvAqMrzLNAGugBngOestaWVFJfRESkXNb3CUTDFc8PRMOF/tRruKZS+Z5PPp3h9Bd/QGpgiYx/axm7eI2xi9eo3rWN/R97Lw7OpmWFW2uJbdvJePJkoUx7CdxonEhTK2ato603KWst4bp6kt3Xigbs50r2XMONxggmEkXbEBhjiLfvxMtmCTc0kR7sK3udgVicQCQ677pYaztT1y4tGjv7NnAVQWzjmHXb82GMwQRDRFvbiba2k5+awM/lMI5DIJ4gNTTGmS//ED9X/Dk/ev4q5/7qKfb/yvvWZ7EiIiIiIiIiIiKyJa1b0N5a+9fmfm+M+cz0xX9mrT25XrcrIiJSDmuh/sAuBt44V9H8+oO7NiUIbn0fP5fn5Oe/Q2a0eHB2/FI3Z770BAc/9fim5asbY3ACAao7DzJx8Sx+buX+5IFYFYnd+za1l/0NybdkhgfLnpYe6Cs83iVygsFClnyiZtnS9ssJNzRjrT+7GcMYQ6iuAT+fI9V7fd7Ymez7SF310ptTShCpq1731+lMZnywqnp2o4Exhgvf/mlJAfsZoxeuMXjiAg2H92x6WwsRERERERERERHZGBv5SeDvAf8L0F9soIiIyEZxXIeaPe2Ea6rKnhtvayTe0rA5JeeN4fKTL5QUsJ8xca2PnueP43v+Oi5sZcZxcEIhavbfRqytAye0uMpBIBYnvn03ic4D4KhMeFnsdMDelv8zzk2MFd1IMZcxBmst8e27cILBkueFahsI1zUsqp5gjCHS1ErVzk7caHz2eut5ZMfHaL5zf8m3Me/2quPU7G7f0OeRMQasZeJaf0UbDfpePaWAvYiIiIiIiIiIyC1kPcvjz2Ot/b2Nui0REZFyWN/Sdv8RLv3w+bLmbXvwdnzP35TgmpfJMnSqq+x5/a+fYdvb71iHFZXOGAdcCDc2E2lqJZ9KFoLFxuCGwrjhyHQWtoL15TKOQ3ZitOL52bFRwvWNJWelG2PAcUl0HmKi6yx+Jr3i+HB9I7H2nYWWEkv8fGcy90M1deRTSbKjw/j5HH42M7u5JjM2WdZ9ar7zQKGfvbvBzydj6Hv1VEVTp3oGSfYPE2uuX+NFiUgxXt7DDbjkc3myqSyBUIBQJDR7vYiIiIiIiIjIetiwoL2IiMhW5bgOLfccIjkwQv/rZ0qa0/7QXdTt37kpgWXf8+h//SzW88qem52YYuT8VWr3dGx6Ju9MpnUgGoNobMljtxprbaFnwwxjyn6OVfK8qGTuTODdeh7GcajZfxvZsREyQ/3kp+YE1o1DuK6ecENz4WddxMyGATcSJdqybbY9gvV9dj76IGf/8kfzH6MVROpraL3v8KY8140xJPuGKp4/2TtItLF2U9pviNyKvLyHMYYzPz/JS99+kasnL88eq2ur555fuI+jj99LMBTc9L+fIiIiIiIiInLz2ZSgvSl8En8Y2AMkgKIpC9baP13vdYmIyK1t9+NvJ5SI0/PCcbxsbskxgUiYjnfeTcvdBzd4dW9xXJfJ7oGK509d76d2d/sarkhWa6YHem5ijHxyCqyPcQIEa2oJRKLz+r8Xs6qNJGW0eshPTZAe7Cc3PgrGEKqtJ9LQRHXnQfx8rrABwBicQHA28F4OY8y8ecZ1qd3TwZ4PPETX936G9VcO3Efqqzn0qccw7uZlxvr5VWygyHmFjRFruB4RWZqX9xjuHuKLv/t5xgbGFh0f6Rnmyf/6A57+86f48N/7KIcfPrI5rXFERERERERE5Ka1oUF7Y0wU+J+Avwk0lDHVAgrai4jIutv2tjtovf82Bo+fZ/DNC2QnpsAYwtVxmu7YT8Ph3VuibLufW3pTQSm8XB5FAreGmcz69EAfmeGBRT3lU33XCcTiRBpbCdXWlXQ+NxIrBP4rEIjGigbYrbVMXbtMdmRw7pVkR4bIjgzhRmME4wlMIECwuraiagHL3W5mZJCGw3uI1tfQ/cJxRs5dXZR1H4hFaL5zP20PHMF6OfxsGhOJbsrr1o2Eocxy/m/NDd2yFSdENpKX9xjpGeZP/tEfk5laucVHPpPjr/7wq3h5jyPvukMZ9yIiIiIiIiKyZjYsaD8dsH8KuJ9NDhUYY6qBDwD3AfcC7UATEAVGgZPAd4H/Yq1dsq6pMebdwI9LvMnfs9b+bpE1BYC/Afw6cBCoArqBJ4H/01r7Zik3ZIxpBP4e8FFg1/TVl4CvA/9uufsjIiIFxjG4ToCmO/ctyqbfrP71S3HDodXNLa26uKwjay34PhNdZ1cMsueTU0xeuUAk2UJs2/ai5w03NpMZLr8SgxMKE6yqLjoueX1BwH4BL5XESyUBSPV2U7V7L8Gq6tUHzX2fZPdVMsMDRJu3sf+X30t2YorhM5fJp9IYxyXSUE3dvp3ge2RGh0j1dhOqqSO+fdfqbruS5Xo+dXs7KiqRb1yX2s4OZfKKbADHdfjS7/950YD9LGv59h99g52376K6sWZLbOQTERERERERkRvfRmba/w/AA9OXTwD/HngFGAb8DVwHFDYOfGGZY03Au6a/fscY8xvW2h+s52KmA+3fpbCJYK49wG8BnzHG/La19o+LnOcBCsH51gWHbp/++hvGmI9aa19ck4WLiNzEnCVKam+VgL3vedTsbmf49KWK5tfuUTBwq5i4dK7krPj0YB8mECDS1LpskMgYQyASJRCrIp8sL8M73NC0Yhl+ay35qQkyw8sH7JeYxdTVS9QeuqOstSy+bb9wu9bHSyWZvHweJxQm3NBEw8EdGNfFWh+bz5Psvkx2dARs4e1ldmyYWPt2jLuxXaEc16Hl7kN0//yNoqX8F6o/uHNVG3NEpDSe59H12gVGeobLmufnPV761gs88plHMa7+noqIiIiIiIjI6m3kp5efmP73OeARa212pcEb4CqFTPlXpi/3AA7QAfwK8MtAI/BNY8z91tpjK5zrN4GXVjjev9wBY4wL/BVvBey/BvxnCpsZHqDQTqAZ+H+MMdettd9b5jzbgW9R2HSQB/4N8O3pwx8C/gHQBnzLGHOPtfbaCusVEZEtzHFdGm/r5MpTL+FlyvtzGm2qI9HRvE4rk1JZ65MdGyU/VV5gPdXXTbihecU+7db6xDp2MnH+NNYvrad6IFZFpLF5xXLsxhjSg8u+pVl+Pfkc2bERQjW1FZd7N8YhOzYy7zo/myHVU8LbGWvJjY0SqmvY8IzYQCxC/aHdDL15sfRJxtB2/5FCNQzFAkXWleu6vPTtFyqae+zJV3nPp9+3xisSERERERERkVvVRgbtOyl8/PgHWyBg/2Nr7Y4Vjn/ZGPNRCsH0EPAvKATxl9NlrT1R4Vo+Azw8ffn/stb+nTnHXjTGfI/CxoJq4P80xhyy1uaXOM//RiFgD/Br1tqvzDn2U2PMK8CXKGwA+F+Bz1a4XhER2QKMY2i+az89L5T356f1nkP4nrdkJQHZOMY4ZIbKD4BjLZnhgZUD7NbghsJU7d7H5KXzWG+ptw1vCcQTVO3spFiE2M/lyI2Plr9mIDM0QLi2vqK5s7df5H6sxHp5sBY2oYz1nscfIj00zlRvaRUKdj/2NmJNdaqGIbJBLr3RVdG81ESKgcv9tHa2rfGKRERERERERORWtJF1fmcC9Vc28DaXZK0tmnZmrf06cGb623es43L+f9P/DgO/s8Q6zgP/+/S3e4FfWjjGGNMK/Pr0tz9YELCfOc+XgZky///d9BwREblRGcP2d91D9Y7Sf5033r6X5rsOKGC/BXjZTNlZ9jMyw4MrZ6wbuPrMq/h5qN53mGjLNkwwuGhYIBYn3rGbxO59jF64xujF6/je8h2L8ulkResF8FYxd8aqsuSNsylZ68YYjOtw6Nd/gbr9O1ccG4iE2fuL76bpzv0YZ2u04hC52fmej5erfENQeiq9hqsRERERERERkVvZRmban6ZQ7v1GChZPTP8bWY+TG2P2A4emv/2ytXa5T7T/hLcC978ELAzKf4S3NmD8txVu8k+Ax6bHfgT4T+WtWEREtgpjDNbCgU+8nwvf+snK/e2NofXeQ+x45P4NW5+szM9mShvoOASisUI/dmvx8zm8dGrFKV46S+/LbzJw/Bxt991G8137iTS1kpuaxHp5DAYnFCYQi5HsH6br+88x8MY5qne2UdfZscKilw/oF2NXMRfAWosbiRa978txI1E2q9a8cRwcDPt/+RHSoxP0vXKS4TOXySfTGNcl2lBD89GDNBzeXQjyb0I1AJFbleM6OAEXP19aK5GFwrHwGq9IRERERERERG5VGxm0/xPgQeDjwPc38HYrYow5ANw1/e3pdbqZh+dcfma5QdbaXmPMWWA/8FCl51lw7CEUtBcRuaEZx4B12PfR95AaGqX35ZMMvXkRL5sDCv20m+/YR8s9hwlWRRUM3EKstSsed8IRIg1NhOsaF/Wv9zLLZ3b6nk/fa6exnk8+mebqM69w7dnXaLpjH/X7d+JGwljfJ9c3Ts+LJ5i8/laJ/vHLPaRHxgnXJpZ8rphA5W8bjbv6t5zhhiayo8Nlz3PCYYJViVXf/mrMlLoP11Sx4z33sfO9D8w7rpYVIptn+8HtXD5xqex5oWiYxu1NxQeKiIiIiIiIiJRgI4P2/xn4VeDTxpgnrbVf2MDbLokxJga0Ax8G/hFvPT7/R5Gp/5sxpoNCFYEkcAl4GviP1tqzK8w7POdysY0BpykE7bcbY+LW2qklzjNmre1d7gTW2h5jzDhQzVsZ/mWZvp8ruZEqKYiI3PBmgquR+hp2Pfogux97eyFj0IDjuljfV6ntLcgNhpY9Ftu2g0hjM14mTaq/m+zoMH4+DxjccJhwfRNOMAjGWRRcd1yHsUvds99XdTTTcvdB6g/sxnEdfM8rZHM7DontzfS/dob+18+SnSi8rRi9cI3mowcWbRSAQjl947pYr/yM1FB1DdbaijeOGGMIxhO44ciKmxaWEqlvxlp/5ZYCG8QYA0s8BgrYi2wOL+9xzwfvryhof/t77sAN6LUrIiIiIiIiImtjzYP2xpgdKxz+uxSC939mjPkl4C8oBKOLNjq11l5ZmxXOZ4z5LCuXlP+XFNa5krfPuRyikKF/F/D3jDG/D/yeXTqlbm4A/FqR27g6/a+ZnndmifMUO8fMeW4DtpcwdqV1iIjIFjI3GOjMCSIoYL8+fM+H6T/txjFlP85uJIoTjuAvCEBX7dhDsLqWySsXl8gqt3jpFMnuKyR7rxFr7SDS2Lzo3F4mi3FdOj/0DhoO7SY3NUmy+zLZsZHZEvdOMES4vpHW+w6z7W13zJbI9zI5WLYIgCFc30h6oK+s+woQbmgpe85C1vrEOnYxcfHM7GNfjBuNE25o2hIBexHZetyAy8G3HSZRn2BieKL4hBnGcP+H3zZbRUNEREREREREZLXWI9O+q4QxBvjY9FcpLBtbFQDgdeC3rLUvrTCmB/ga8CxwEcgDO4APAZ8GgsC/oBDI/6dLzJ9bq3WyyHrmZtZXLXOeYueYe56F5xAREZEVWN8HY/CyOYZPXyI3lcI4DpG6aur2bQcLxi0tOGytT6ShiWT3W3vhoq3tBKtrmeg6S36qyJ903yfZfQXr5Yk0t83LYHfDQQ58/H0k2puZuHiW3OT44um5LKm+blL9PUSbt7HnAw/jBAM4oZXfboUbWkgPDoAtvUd9IJ4gEI2WPH45xjgEYnGqdu5l8vKFomtwY3ESu/ctmdkuIjLDWsvH/skn+bN/9t/IZ/MlzXnvX3s/9dvq1XZGRERERERERNbMegTCS/3kYqt8wvF14OXpy1Ggk0IZ/18CvmCM+fvW2m8vMe8lYKe1Nrfg+leBrxtj/hPwBFAD/GNjzJestccWjI3MuZwtss7MnMsLP/meOU+xc8w9T6WfnhfL0G+l8NiIiIgUtVTZ8q1Synwu6/ukR8bp/vkbDJ2+hM3PLxEfiEVovnM/bQ/cjhsMFA3eG+MUstYH+/CzWYwbINLYQrLnWvGA/Rypvm4CsTiBeBXGKbRD2P7Oe4m31jPRdRYvVaSYkbWk+q5jfY+d73uA9PDYslUDjDE4wSBVO3YzefkiK6Tkz3JCYap2dq6qNP7CNQQT1dTsv430YC+ZkaHZ6gEz3HCEcEMz4fpGMEZBNRFZkRtw2bavnV/7/c/w5d//C9KTqWXHGsfwvt98nAd+8W0buEIRERERERERuRWsR9D+r63DOdeNtXYUGJ1z1UvAF40x/x3wOeAbxpi/bq39kwXz5ma+L3XeF40xvw18nsIGhd8G/uaCYXNr4oYWfL9QeM7lhZ8kpYHY9DmKmTnP8p9GrcBau2IJfn0wLiKyeZbqX79WwdK1Zq3Feh6ZoQGyo0OFnu0G3FCYUF0j4bqGLRNwtb7P6MXrnP/6j/HzS/dzzyfThYD+qS4OfepxQlWx4ln3xiGxez/jF84QrmvAWp/M8GDZ60sP9JFI1JDsuUq0ZRtV2xqZun6leMB+3jl6CcTiROprV3zMjTEEq2up2r2XqauXsPmFexffEognqNrZiXGdNf05GmNwQiFi23YQa9tObnwU3/cwxsENhQnEq7bkxo/Vstafv09ii7w+RG4GjuvQvr+Dv/df/wGvPfEqr3zvRYavD80ej1bHuOt9d3Pfhx6gqiGxwplERERERERERCpjlm61LgDGmC9RyLqfAnZYaxc2ly02PwAMAdXAOWvt/gXHvwh8YvrbJmvtsp/UG2P+PfB3pr89aK09M+dYL9ACvGmtPVJkTSco9LTvtda2lXN/SmGM6WC67/3Vq1fp6OhY65sQEZEFCn/LLdmRYTKjQ9hcDqYDm+G6JoLVNcDW2Fg1874j2X2VzPDAsr3JjesSbW0nXN+0qev2PZ+p3kFO/cX3sF5pJeHDtQmOfPbDBCLhomOt9bH5Qjnm7OgIyZ6rRWYsrebAEXIT42SGB6juPEh2fJSpq6V0LHpLoCpB9Z4DJY2d+Tlmx0bIDA3gpZOFTSNugFB1DeGGFgLR6LpvGvE9H2fO5oiZFgZb4bm+Vqz1AUNufBQvnSo8zoEAoZo63FB4y27MEblReXkPN+AyPjhOJpkmGAmRqE8UNgyV2AJFRERERERERG5u165dY/v22eLk24slPZdio/vE32i+QSFoHwceB/6inMnW2rwx5ixwL9C+xJC5P8AOYKX0upmfvF0wb+Y8LdPnKGbmPJVFBUREZMtJD/aR7u/BevOzwL10itz4GE4wSLRtO6Gaui0R3Ju8fIHc+OiKY6znkbx+BZtf3LN9Izmuw6Unni85YA+QGZ2g++fH2f6uu5ctNT/DGAcCQYwxZCfGKl5nbmKMQDROMp1i8spFErv3kR7sKyvbPj85gZdJ44TCRR/vmeOhmlrCtfXzjs3dELpePzff8zEGRs5dYfh0F/lkGuM6ROpraLn7ENGGmkUB/RuNtRasT6q/l8zw4KKqBqmeawSqqok2tRKoSmyJ17bcuJZ6vdyMm2BK4QZcAKobqynsvRYRERERERERWX8K2q9sYM7lnRWeY6VSBifnXD4IvL7C2IPT/15dojT/SeAeoMYY02qt7V3qBMaYNt765OnUCrclIiI3iKnrV8gM9a84xs/lmLpyEbttO+GG5k0LwFhrSff3FA3Yz5Ua6CVYXYsbjuD7hT+pzhqXW1+O9X2S/cMk+4aKD15g4I2zdLzzbkpZ5cx9sV6+7NuZYT0P4xYCTbmJMfLpFJGGZqauXVpyfCAWJ1TXiBsKgXGwvoeXSpKbmiAcDEGJj+9SJeg34mfT98pJel48QW5B7+mxrm76XjlFoqOFne9/kFhDbfE2BVtQoX1EnomLZ/HSy3c0yk+OMzE5TrStg0hjyy0XXF2NmXYifi6L73mFLOo5z/1b5bG0vo/1fAaOn6f/2FnSI2NYzxKMR6g/uJvWew8Rrq5SRQcRERERERERkXWmoP3K5mbHT5Y7ebo8/kxJ/O4lhjw75/K7gC8uc57WOef52TLn+e/mnOdLyyzpXXMuL3UeERG5QVhryQwNFA3Yz5XsvoobjhKoqtqkft+W9GBp6zWBINHmVoI1DVjg7ItnmRwexzgO9e0N7DyyC9/zZzMi14Ux9L12pvi4JeRTGUbOXqZu/86Ss72LZeWvyHEKWbHTMkP9xNq2k+y5Oq8CQ6iugUhjC4FojHwqiZeaKWvvEm5owriBZVsWbBUXv/czBo6dXXHMxLU+Tn7+Oxz4+Puoam+58TLurS0asJ8r1XMNxw0QqmtQYLUIa32wkBkZnG7t8NZjbByXUF09kcaWkipO3OistfS/cY6rT72El51fySE7PkXviyfoffEEDYd2s+eD7wDHrO73lIiIiIiIiIiILGvDgvbGmP9awTQLpIEx4BzwvLV2IzPEPz7n8vEK5n8CqJm+/MzCg9bas8aYU8Ah4FeNMf/QWrtUHdvPzrn8V0sc/ybwHwEH+GssH7SfOY8/PUdERG5g6YElC6usKNXfQ3WitL7la8lan+zIcEnZ5G44QmznXtKTGX76p0/yxo9eIzUxP3hZ11rH0cfv474P3o8TdHHdtQ/eG2NID1desj49PFZyANxaixuJkZ8qe48gAIFIDD+Xnf0+OzZCvH0nbjRGfnICgFj7TsL1jWRHh5m6fhkvuaBwjzGEauqINLbgRmNbLmBpfZ/u548XDdjP8HN5zv7lj7j9Nz9KqDq+5e7Pcqz1yQwPlhywn5HsuUaorh5Kqu9wa7LW4qXTTHSdW9RuAMD63vRmqAEizW3EWpfqbnVzsNbS8+IJrv745aJjh051kZ1IcvBTj4Ey7kVERERERERE1sVGZtp/lpVLxZfEGPMy8A+stRVnihtjPgt80VqbXmHM/wB8YPrbLuCnc47VAXdaa59eYf79wL+f/tZSCKov5Q+B/wLUA38A/PaC83QC/2T62/MsEbS31vYaY/6cQrb9Y8aYX7HWfnXBeT4OPDb97eeXK6EvIiJbn7WW3MTYvCBtqfJTpfctX0vGOGRLKIvvBEPEd+2n92IvX/xf/pz05NKBy5HeEZ76kyd446nX+PXf/yyx6ti6ZN1bv/K3LnMz30sRaWwuq3LCDCcUJpioZuLSubduO1/YHGHcwlu92LYdhOsamLx8Yfn2BNaSHR0mOzpMrH0H4fqmLRWcs76l54UTZc3xMjl6XjjOzvc9UHLJ/81mjFPR88B6ebKjw4Rq6zepksbWZq2Pn8kwceEM1veKjk/394C1RFvbt9TrYC34vs/ktf6SAvYzJq71cfnJF9j1/ret48pERERERERERG5dG/mJ3pXpr0EKKUAzXzmgb/orO+d6psdeA8bnXH8f8Iwx5tdXsZbfBa4bY/6TMebTxpiHjDF3GmMeNsb8LWPMs8C/mR6bBX7LWjv3070a4MfGmGPGmN8zxnzEGHOfMeZuY8xHjTF/TCHIXzs9/g+tta8ss5bP8Vap+r9jjPmqMeYxY8z9xpjfBp6j0IfeB/6etXa5FMV/BgxMX/6CMeZfTt+fh40x/xL4i+ljA8D/VNrDJCIiW1V2dGQVc4c3pQT63DLty4m272Kkd4S/+BefXzZgP9fglQH+7J/9N/LZyvvBryQYj1Q+NxYtOenZGIMbjhCIJ8q+nUhDE142Q258TlWAmSCj9QlW1xJuaGLyysXlA/YLJK9fITs6jN0ipfJ9z2PwzQs4AZd4ayOJjhaiTXU4JWzUGDxxAeuVt4FiM+WTU3iZZfeVLmAKGzOmS5ZnhgcVsF+GMQ6TVy6WFLCfkR7oJZ+c3DKvg7XiOA49L5RfRGzw+Hn87OIKBSIiIiIiIiIisnoblmlvrd1ljLkL+CqFoPd/AP4UOG6t9QFM4VPG24HPAH+bQh/5j1trXzXGtAO/RiHgnAD+2BjzE2vt1QqXVA/8zemv5VwDftNa++Qyx++Y/lqOB/w+8L8sN8Ba6xljPgp8l8KGhI9Nf82VAX7bWvu9Fc5z1RjzYeDrQCvwP05/zdULfNRae22FNYuIyBZnjMF6lQdO/Pz6BLiLMc7KEWw3GiNcXc33/+Vfkk1lSj7v0LVBfvaVn/Du33gEZw3L5PueT8OhPYycvVL2XOM41B/aXdZ6rLXEO3Yyfv5USRscAALxKsINzaR6r8+73o1EAfBzOWJtHeQmxkoO2M9Idl8hVFO3JTLUHdcl1lzP3X/3k/Ou9zJZ+t84R/9rp0kPjy8518vmGD53hYaDu7Z8P25rbfGAvTGEauuJNDQTiMXfmut5ZMcr38xzM7PWkk9Olt1yACA92E/Vjqp1WNXmyU5MMXrxevGBC/h5j/5jZ2m55zCOu7VfSyIiIiIiIiIiN5qN7GnfQiEwXQ28x1r784VjpoP3x4B/YIz5CvAk8F1jzFFr7XXgXxljngSeBSIUSskvDEyX4jHgg8BDwF6gBWgAUkA/8DrwbeDLy/SY76bQ7/5twP1AO9A4vaYx4AzwNPDH1tpLxRZjrR00xrydwgaCX6PQ4z4+fTs/Av6dtfbNEs7zgjHmduC/Bz4K7Jo+1AV8A/g/rLVDxc4jIiI3gFVk0xYLnq+HmZ7tuYmlA6sA4fomhrsHuXy8q+zzv/7DV3n3bzyymiUu4rgO9Qd2EoxHyU2VF+yr27+DQDRc1hxjDE4oRGLPgWV7bs8VqEpQtbOT3MQY6cG+ecfC9U2F4K/vE6yqZuJiaX3g57KeR3Z0iFBtw6YGu631McYhFA8ycek8XjqJ9S2O6xKsrqXp9k7a7ruNgePn6fr+z5bMqs9NpbDW3hjd3lfI6g43NBFtacc4DtmxEVIDvdh8vlCpIRIl3NA0fQr1HV8oM1h+ywGA3Ngo1stjAsE1XtHm8D2PkXNXKq62Mnr+Km33H1njVYmIiIiIiIiIyEb2tP+HFDLA/9elAvYLWWt/boz5NxTKvv8O8A+mr3/NGPNfgb8DPEoFQXtr7RkKgfV/U2zsMvOzFCoGfLXY2DLOmafQ9/4/rvI8g8A/n/4SEZGbkLUWNxyh0lx7J1x5yfeKWUu4vpH0QO+yQ4I1dbz8Jz+s6PTJsSlOP3eKA287tOa97dseOMKVp14qebxxHbY9eEchKFZm4NQYBzcSofbAEdLDA2SGBvCz86sOBOIJwg1NhGrqyI6NMHV1/iYH47iE6xrw83nCM6XzJ5ffLLGS9NAg4fqmiuauhUKGdJKpq12LHgcvn8Mb6CU90Euopo6GQ7sIVcc48+UfLgrcr+dGFev7hR+1Y9YkUO4Elw4OR1vbiTa3kervIT3Yh11QMSM3OU56sI9AVYL4th044YgC99OMMeSSkxXOtuSnpgjV1K7lkjaPhXw6W/H0fKbyuSIiIiIiIiIisryNDNr/ImCBH5Qx5/sUgvYfZDpoP+17FIL2u9ZqcSIiIjcMawnXN60YAF+OcVzCm5A5bRwHNxwhWFW9ZADZOC5uIMDglYGKb2PgSj/7Hzy4mmUuYhyHtvuPkB4ep//1MyWMN3R+6J3EmusqfoyNccCFSGMzkcYWvFQSP58DDG44jBuOkJ+aZOpqF9nR4UXzY9u243s+mfEpovVN5KYmKloHgJcpv5z4WrHWkpscZ/LS+aJZwdmxEbxshsTu/ez5hYe58O2fzDseqate0+e873k4rstU3zDJviH8vEcgGqZ2TwdOKAC2so0CxhgCVdWYQGBeUD7S2EK0uY3JK11kR4cIVCWmy+NXYVwXa31sLkdmdJjM8ADj50+T2LMPNxpTj/sZ/uIKDKWyvndTVS9wgpX/F9AJbOR/H0VEREREREREbh0b+alLx/S/pTepfWtsx4Lru6f/ja1qRSIiIjciUwjeBqqqyZeZQR2qqwdb6E3srHFGejHW+kS37SB/4TTWm58lzHSA08vll5hZmvwq5haz+/G3E6mrpvuF4+STS/ccjzbWsvN9D1C9o3VNAsTGOIWqCtEYdmoSP5shm04WAtSppbr3FAL2oboGhk510fW9n3Ho136BUGwVb/cqLKG9Fmw+x+TlCyWvwUslmbp2icYje+l+4TipgUJ/91AiRs3u9jUJuFq/sJbBNy/S/+oppnrndx1yAi71h3bT9sARovU1FT8PwvVNpPt7ADBugGhrO8ne61jfo+bAkUKljakJ0gO9+N50efxwtBDcb2kjOzrC5JUuqjsPYoI3X9DeWrvoeVHssTaOi/W8im7PuO5NE7A3jiHe2lDx/FhzPdb3N7VlhoiIiIiIiIjIzWgjg/ZTFHq+3wO8XOKce6f/XfjJ9EyT2MXpZSIiIjc5YwzJgRFirR1MXDyD9UsLRDnBEJGmNiZ7B1cVtKmYBTcYpGrXPiYvn5uXSTwTTItWV74fL7aKuaVove8wLfceZvh0F0MnL5KbSmMcQ7guQctdB0lsb8H3vDUNZhljsNYSiFeRzWXJjo8uDtgbQ6i6lkhT63RmtaHx8B5GL1xlqnuA0P72ym/f3ZysWmst6cH+srOjc+Oj5FMpWo4e5NIThW5MTXcdwPoW464u6Gp9i/U8zn7tR4x1dS85xs97DB4/z9CbF9nzwYdpOLSnooz7SEMzmaEBrJcnXN8A1mJ9n6qdnWRHh5m8fAEvvbgKQrL3GqHaemIt7QR27SUzPEikufWmCThb62OMU9jAMjZS2PxjHALRGMHqWoAl76u1lkBVguzI0KJjRRlDIJ5Y5cq3DuM4VG9vJdJQQ3porOz5rfccKrvth4iIiIiIiIiIFLeRn8S+AjwG/BNjzJettSMrDTbGNAD/mEJJ/YVB/gPT/1ZeQ1dEROQG1vPiCXa8516qdu1l8vL5ohmkTjBE1a59ZMamGDl/dVOC9sZx8D0fNxyheu9hsiODpIcHsLkcWEt2coJDDx3m9HMnKzi54fA7jqx5P/t5N+E4GKD+4G4ab+ucvX5u1q/jrv3tzwQhQ7V1hOsayKeSeKmpQrarGyCYqMFM3+7MWGstez/8LobOXCIYr8IEg4XHuUyhmtpNKwueGR6sbN7IAI237+Xq0y8TiEdpu/cwjrs2GynOfu2pZQP2c1nf58K3f4obClK7pwNTxu0bY8B1Sezey0TXOcL1TeSSk8S3bSfZc23lthjWkh0ZIjc5TvXu/QRraim8lb7xg6yFdgkTpPt7yS/R8sEEAoTrm4g2t4JxFj1nI40tFQXtQ7X1N11Wue/5tBw9yOUnXyhrXlVHM9HG2vVZlIiIiIiIiIjILW4jP4H6v6b/3Q48b4x5fLmBxphfAJ4Ddkxf9R8WDHmcwieQL631IkVERLY66/u4wSCnvvADLC6JzkOEG5oxzuKAsQkEiTS3keg8SHYixekv/YBQPLoJqy5wXAeMwbgBwvXN1B64g6rd+4nv2I1xDIceuo14bbzs8+452klNU+2GBJcXBoCNMRsS1JvpTe5GooTqGgnXNxGqrccJBAprmHPfZy7X7yu8lYrUN1V0m5HGllWuujL5qcnFLRRKlBsbxQ0GqN7dzqFPPYZZgx7cvuczdLqLsa7rpU+ylq4fPFdZvNwY3EiMxN5DuOEIwVgV6cG+lQP2c286l2Oi6xxOIICfzRY2ltzArLWkB3qZ7Dq3ZMAewObzpPt7GD9faL8x9z4bYwhEYwRi5f9u2azXwHpyXIeWuw9SvaO15DluOMSeDzyM75VX/UJEREREREREREqzYUF7a+23gP9I4aPLvcB3jDF9xpgfGGP+bPrrB8aYPuDb02MA/h9r7bdnzmOMaQU+On2e72/U+kVERLYOQ/Nd+0kNjND32mmcYIjYtu3UHr6T+I49xNq2E9u2napde6k9dAfR5jaM43L9+TfIp7M03r53XTLCS+W4TiHw7RiMY3CCYZxgDKyLtXD/L769rPMZx/DQr7wDv8J+1eWy1l/wvd3QoOhMgN44i7OJF411HIzjFDZ1lPkzD1bX4IYjG55lb63Fz5dfFWCGPx3s7/zgw4TisTXJsndch75XTpU9LzeZYvjslbIDncaYQuA+GJq5glRf8Qz/ufxclszQAE4guKj/+43EWktmeJBUb2kbJrx0iomuc4vus7WWqp2dmECw5NuOtnXgRqI3TXuBhfZ//FFqdm0rOi4Qi3Do1x4nXJNYs6oVIiIiIiIiIiIy34Y2KrXW/h1jzGXgdyn0t28C3rdg2MynYhng96y1/3LB8XHg0PTlMtKdREREbg7GMcSa69nzwYdpun0fyd7rZIYHCNXUE0xU48TigMXm80xd7SI3OUG0pY29H34XA2+cxQ2VHrRaTzMbBwKR8LzrH/qVdzB4pZ/jPz5W0nne/zc/wPbbduKsc7b7TGA+OzpCdnR4OrBscMNhwvVNBKsShZL1W7CUtnEdqnbtY6LrbEl94t1IlKrtezalNP5qKxfMVCRwgoE1W3tqeIzJ6/0Vze1/7TQNB3eVPW8mcG99n+zocNEWGEtJDw8QaW4re96WYi2p3mtlTfFSSTLDg4TrG2efS8YYCASo3nuQia5z+Jn08icwhljbdsINTTdtwN44Dg6GA7/6fobPXqbv1VNMXJlfySFUU0XLXQdoPnoAJxhUwF5EREREREREZB1taNAewFr7B8aYzwGfoRCwPwLUTR8eAd4EfgR8zlrbs8T8JHB5g5YrIiKyJfm+T9Pt+5i82jXbpzkz1E9maOnAYvL6FWzeo+mO/YUM1C0ciLLW8ov/4GPUttTxwjeeI5vKLjkuUZ/gfX/9cQ4/fATjrP/9SQ8UypMvLNvupabIjg7jhCPEt+0gUJXYcoE+YxwCsTjVnQeZutqFl04tOzZUW0+8Y+eSfcE3ihupvIXDzNy1Wru1lmT/SMXzU0Ojq7p94zhkKujFDoUy+bnJcYJV1ataw2ZZzYaFzPAAkcbmedcZ4+AEg9Tsv43cxDiZoT5yE+Ozx51giHBDE+H6JozrbrnX8Vqb+b1Zt28HDQd3kRmdIDU8jvU8glUx4q0NWN/f1MosIiIiIiIiIiK3ig0P2gNYa/uAP5j+EhERkTIZY0gP9M4G7EuR6ruOG41u+QDeTKDsHZ96N2//2MMc+9HrnHjmDaZGJjCOQ11bPUcfu4f9DxwsZIJvQMB+6tolMsODK47xM2kmus4R37GbUE3dlgv4GWNwwxFq9t9GfmqS9FA/+VQSfB/jugSra4k0NOMEg5uSYT+XGwoTqEqQn1y6f/lKwg1Na17xwOYrb71g86vvAe7nMpXPzWYBy1vFrG4cxnGKvu6W46VT5JNTi/rYz1RiCCYShKprsL4//XwxGMfFWn92zK1iJoM+XJsgXJuYd6zcthoiIiIiIiIiIlKZTQnai4iIyOqlBvrKnpPu7yVUXbv2i1kHjuPgREIcfewe7v3g/fOOeXlv3cvhw3Q/7cG+MgKHlqmrXbjhMG4ktvUC99OPmRuLE4/tnre+uYH6zV63tZZIQzOTZQbtTSCw5hsmjDEE45GK5wei4eKDZFletvINC142jRtd+nU4E5g3jjNvg8etFrAXEREREREREZGtQZ9KiYiI3GCs9cmNj2LzubLn5pOTeOnUbH/2G4EbWJzpudR16yU10Ft80FzWkuovc84GM8YsCmRudqB+RiHT2RCsriVY5gaTePvOdVlTYkcrgUhlwff6Azux/uqy7Z1gqPK5oRA3Ypb9rNX8rrpxfs2JiIiIiIiIiMgtTkF7ERGRG44hO1Z5j+3s2MjqAmG3COv7ZMdGsPl88cEL5MZGsV7589aTtRZrC6XAt+qmDWstuYlxxs+fIjM8QNWOPaUF7o0hvn03weraddl8YIyh8Y59lUyk5Z7DqyrVb32fUF1DRXNNIEiwqnrLbMiohBMMrmrujXzfRURERERERETk1rHm5fGNMRenL1prbecS11di3rlERERuZcaYigLJM/xVzL2VGMchOzpc4WxLdnSEcH3jmvZWL3sVM8F5a8mNjxZ+9tO97YNViS3Vv9taS3qwj1TPNZxgCJvP4+fzVO3sJDs2TGZwgHxycv4kxyFcW0+ksQUnHFm/AK0xtN57mP7XT+NnS3/9NBzaTSgRW91NOw7h2gZSPdewnlfW3EhD06pue7NZ6xOqrSfVe73suSYQJBBPFB8oIiIiIiIiIiKyBaxHT/td0/8uTOHaReW2ZjqYiIjIZllFIHgzg8gLWd9ftJ4tFUhe1eaI8tsXrCVrLX4uS3qgl8zIECwo0e6EwoQbmog0NMMS5fI3krWW7Ogw2ZEhqnZ2EqyuxebzZMdHcQIBArEE4b0NeOk0+dQUWB/jBghWVc++FtZz/cYYQvEo+37pEc5+9UclBc+rtjWx5wMPY61d/dqMIdLcRqrnWulTgkHCDc03dKa5MQ7hhiZSfd1lVwe50TcsiIiIiIiIiIjIrWU9gvafK/N6ERERKYO1FjccodKQsBuOrOl6KmGtBWvJjAySHRkuBLgNuKEI4frG2ZLomx5wXMXNb3YQPD85wcTl84uC9TP8bIZUzzWyI0Mk9uwH193UzRLZiVGqOw/iZdKk+rpxwhHcWAInGMD6llwqhbE+bjSGGwrjex655OSGlX83rkPNzjYO/drjXPzOs6SHx5Ye5xgaDney+/G3Y5y12QxhjCHa1IrN5UgP9hUfHwhSvXv/ltqgUynjuEQamku637NzAoEbfsOCiIiIiIiIiIjcWtY8aG+t/WvlXC8iIiLlMcYQaWwmPdBb/lzXJVRbv2nBvJms43R/D6mB3kUBZT+TITcxhgkEiW3bTqimbtMCbzObI/JTk8UHL8EJR1YV9K+U9X28dIqJS+dKyk720ikmLp6leu+hzVmvteSnJqjq2E1uahIcl1hrO31dvZx45ickx6ZwAy717Y3c9ejdhEIhshNjBKJxjOtu6FqN4xBvbeTO3/plxq/00vfKKZIDI/ieRyASom7fDlruPkQgGi6MX+K5u7CSxEwLg1Ke57Ft23EjUVIDvfiZ9BILNIRq6oi1dWACgS1TsWI1jDFE2zrwcllyYyPFx7suiZtkw4KIiIiIiIiIiNw61iPTXkRERNaZEwwRTNSQm1g623c54bpG2MTsU2MMk1e7yI4MrTjO5nNMXbmI3bZ9UzNmww1NZIYHy55n3MCmbTgwjsPU9ctllRP30inSA31Emls2PNBrjMENR/AyaYLxKs6+dJaffekZus8t7mP+9Oef5NBDt/HIZx7F8X3ccAQ/k17ffvYLOG7h8Ul0NJPY3jLvdn3Pnz2+kLUWfJ/M8CDZsRF8L1+475Eo4YYmgvFESa0hQrX1hOsbyU1OkB0bLrRwcBzccIRwfdPsRoabLcu8asce0v09pAf7sd7SbSuCVdXE2nfghEI3xYYFERERERERERG5dShoLyIicgOy1hLbtoPx86eWDWAt5ITCRFra1nlly7PWkh7oKxqwnyvZfRU3EiUQT2x4ENIYQyAax43G8FLJsuaG6xvXaVUrs9bipZJlrxcgMzxApLl1HVZVnBMMYdwgz33tWX78uR8uOy6fzXP8x8e4+NoFfuN/+yx1LbW4wVBhg8JGPz+WyOReKmA/k0mf6rlGemgA7PzqEl46RXZ0GDccIdaxk0CsasXn+sztBuJVBOJVc2/ops0un3k8Is1tRJrbyI4Okx0bwXoexjG4kRjhhibcULikjQ8iIrI+fN/H93ywgCn8XXRu0r9NIiIiIiIia21T//dkjOkwxtxrjHmnMSa6mWsRERG5kRhjcEJBEnv2YwLF9+A54QjVnQcwjrOpGbjpwfJL+qf7ezevRL7vE9+2o6yAsBMKE2lu3bQ1p4f6K5rn57LkJsZng8wbxVqLl/d448fHVgzYzzU1Oslf/PPPkU3n4AYIBkxeOl/oyb4gYD+Xl0kzcfFsyT8DY8z8ry32OFhr592PwvfL3/9SzNzXUG0diV17qe48QGL3fqKt7TjB0PSYrfU4iIjcCry8B0DfxV5e/ObzPPvlZ3jpW8/T19U777iIiIiIiIgsb8Mz7Y0xCeAfAZ8Fts05dDtwcs64TwK/DIxZa//mRq5RRETkRmCMgxuJUrP/NtKD/WSGBwqlsudwQmHCDU1EGprAbF7A3lqf7NjoovWVIjc5jpfNFLKxNyGb2o3FqdrZyeTliysGXaHweCf27Mc4G9trfYYxZule5yXyMimCVYkNzVovBJwNT/9paQH7GRPDEzz/9ed4168/smxJ+s1mrSXZfbX0NhbWMnn5AjX7D+OEwjdkifuZTHc/lyUzNICXTmGtxQkUWkYEq2uB1ZXvXxiYvxEfJxGRm4G1FmMMJ54+xkvffoHeCz2LxrTt3cZ9H36QOx65a3a8iIiIiIiILLahQXtjzD7gu8AeYO7/1JZKJ3oe+LPCNPM5a+2zG7BEERGRG4oxBhMIEm3ZRrRlG7nJcWwuB4ATDhf6ZPv+pmfhGuOQHRupeH52dIRIY/OGl0CHwmMcTNRQs+8QqYFesqPDi/rFm0CAcH0TkaYWjONu6gfSq8qU9zc2yx4K2XfnXjrDxPBE2XNf/+GrvOvXH9mU8vilsL5PZnig3EmkB/qIte9Yn0WtI2stfjZL8voVcpPji45nR4cxgSCRphaiTa0VB28WlsCfec4rECQi5fK9wma8rbr5a6uz1vL1f/1V3nzm+LJjes53881/+zW6Xr/AR/7+L8//JEhERERERERmbVjQ3hgTAb4DdAJTwH8AfgJ8e6nx1tpLxpgfA48AHwEUtBcREVnGTLAqlKhZFMDa7ID9jEqy7GfnepXPXQvGGJxwhHjHLmLbdpAbG8bP5wGDGw6vSfbwWjFu5W/vTCCw4R+muwGX13/4akVzk2NTnH/pLPvu37/lYgCzAfsKNlFkRoeIbdu+JTciLMdaHy+VYqLrLNZbvgyyzedI9VzDS6eo2r67jPMXHkfreWSGBsiOj2K9PMYY3Gihp30wnlBPexEpyst7OK7D1TcvM9I7jLVQ3VTDrjt2Y32LG9icajk3ou/9h2+tGLCf6/iPjxGMhPjA3/7wOq9KRERERETkxrSRmfZ/C9hLIWD/Dmvt61D0w+3vAe8F3rbeixMREblZbIXA8VJWta4tcJ9mN0G4LqHahrkHtsxjbq1PqKaO/BJZzkUZQ6imdlMCnuMDJZaPX8Jo/yi+b9mkjgSzrLVg7ewmGeOsorqE75MbHyVYU7dlnlvF2LzHRNe5FQP2c2VHhkgGQ0RbthW9j4WAvSV5/QqZkaFFGyG8TJrs6DBuOEJ8+y7caPyGedxEZON4eQ8v5/Hyd17g1e+/zGjf/N/RifoEd73/Hu7/yNsIRUMK3q/A+j6D1wZ57YlXypr36vde4oFffBv12xr0e1pERERERGSBjfxU9pcplMH/dzMB+xIcm/5337qsSERERDaEtRYnEq14vhuObInA/QzjOG99baV1GYdwXQOmggh2qLp2VVn6m2fjS/rPu3W/UFo5PTzOpR8+zyv/5xc48blvFY7lcxWft1DJYXPvW6mstaQH+8quiJEe7APrFz031jJx4SyZ4cEVKxd4mTTjF86Qn5xYXZsIEbnpeHmPyZEJ/vjv/0ee+twPFwXsASaGJ/jpF5/mP/32v2e4ewgvX9ompFuRBV785s8rmvviN5/HbkI7HhERERERka1uI4P2h6b/faKMOUPT/9au7VJERERko0UamiqaZ9wAodr6LRUc39KMIdzYvOKQYHUt8R2dJDoPUr33MIk9B4hu27we6omG6ornVjfW4DhLPzdmAur5dIrcxDi5qQn8XCGQvhZBXd/38fMeZ77yQ974z1+j/7Uz5JPpt7LNV1O1YJn7tFVlhgfLn+T7ZIaHsCsE7o0xTF2/TD45Wdo5rWXi8nlsPqfAvYgAYH1LNpXh8//kvzHcPVR0/MTwBJ//p/+NyZGJ2Z73Mp/v+ZwosSz+Qsd/fEy/n0VERERERJawkelUVdP/lviJGwDh6X8rT1MSERGRTWeMwQ1HCMQT5Kcmypobrm9cp1XdnIwxRFu24aVT5MZH5x2LNLYQbmjCDUcYu9TNVO81/HweNxyibt8OIrUJrOdj3I3b1+nlPe545C4uvHKu7LnRRJR99x+YLUk/w/o+WEt6eIDM0AB+NjPveDBRQ7ixmVCiBmttRRtCrG+xns/JP/8uyb7heceykymgUCHCz6TLPndhbhTY+oF7ay25ibGys+xnZEeHiKywycTP5ciOFA+yzZ/kkx7sI9raUdGaROTmYrE8/Wc/WjK7fjnJsSl++Mff52P/+BPruLIbV2o8SS6drWhuNpUhPZkiXltVfLCIiIiIiMgtZCOD9kNAK7ALeLXEObdN/9u7HgsSERGRjWOtJda+g/Hzp8AvLXPNCYeJNLfdMln21vffagNgLRhT8X2v2tlJqvc66cF+wBLfvptgooa+V07R9+ppMqPzN09c+dGLVO/aRtsDR6jZVbzP+FpxXIdDDx3mif9cxdRoOXs74Y73HsVZ0KLAWh8vk2ai6yw2v3QgOTcxRm5ijGBNHVU7dk8/1GXeXwNd3312UcAeIJ9MM3a5m2hdw6KNE6VwwhGC8RskmGHtbPWCSqw011pLeqi/ovNmhoeItrZzI2x8EJH15eU8jv/4jbLnnX3hNMmxKQWXl7DaCgSqYCAiIiIiIrLYRpbHnwnUv7OMOZ+m0C6tsmZpIiIismXMZNsndu/HuMV7rjvhCNV7DmBusDLh5bLWFr58n8zIEMnrl5m6eolkzzVyk+OFMSVucphhpoP90dZ26g7fSfXewwRiCU5/8QdceeqlRQH7GeOXujnzpSe4/tyxVd+vctZqgXf+2rvLmherifO2X35o3vPDWh8/m2XiwpllA/Zz5cZGmLx8scwVF+STaYZOX1r2eN+rpwlW1+KEQmWfO9LQtGLJ+C3FGFa1v2OFycYYsmOlZ8bOZb08ucnyqnqIyNqY6QU/OTrJcPcQE8MTWN9uSo94L+9x/MfHyKYyxQcv4Hs+r37/ZfW2X0IkEV3x9/dKjGOIVEXXeEUiIiIiIiI3vo3MtP8q8EHgt4wx/8Zae2WlwcaYv08hwG+BL6z/8kRERGS9GWMIxGLU7L+N9EAfmZHBt/p/T3OCIcINTYWS2ca5qbPsrbXg+yR7r5MdGcL68x+LzFA/TihMpLGZSGNL2aXcjTHgurjhCKe/9AMmrvaVNO/6T18jEA7RcvfBRaXn14PrutzzC/czPjjOz778k6Ljo4kon/rd3yASD89WJAAwxmHyateix3ElufFRsiNDhGrrS76v1vPpfeVU4baXMXruCrnJJLG2HUxePl/yetxonHB9E8Zs5N7a1XFC4eKDlp278qaGUjZfLD83V3H7AxEpn5f38PIerz/xCq987yWGrg3OHks0VHP34/dyzwfuIxKP4mxgG5aBK6X97Vty7uX+DV3rjSIcDdN5996KWtvsvXc/wXBwHVYlIiIiIiJyY9vI/31+HngDiABPG2N+wcz/BM2agvuMMX8O/GsKAfufWmu/t4HrFBERkXVkjIMJBIm2dVB76E6qdnYS27aDWPtOErv3U3PwdiJNLRjHvamDbdZarJdn7PwpMkP9ywaa/WyGZPdVJq90VXQ7vuczfPYS45d7ypp39ZlXNqR8rbWW3NQEU9cv8+7feC+/+A8/RuOOpiXHGsfhwNsO8Zv/+rdo7GggebVrNtBurSWfSuIlp8peQ3qov6zNCcZ1GL1wbcUx1rec/dpTBOJVxLfvLikj0Y3GSezZV3H24mYwxhCIJyqqKAAQrm9auZLEah6LG2jjg8iNzvd8rp68wr/77B/yxH/+3ryAPcDE0DjP/PlT/LvP/CEnnnkD6y+/6WlNmUJ5/Erl8/mb+r1Ipby8x30feqCiufd9+EGVxxcREREREVnChmXaW2t9Y8xHgGcp9LX/NpCkEJgHeBpIADOpOga4APzqRq1RRETWh+95OAvKoS91ndw6Zj8AN4ZgdS1gC+8IZnu43wofkFsmLp7Fz6RLGp0dHcIJBIi2dZQVQHBch75XTpW9Oj+XZ+CNczTftX/dX6uZoQGyo8P4uRwH79/P7e++kytvXuLNn5wgOT6FG3BpaG/k6GP3EK+tIjs2yuTFM9h8jtzkOIF4Yvo8lfU/91JJ8qkkbiRa8mPrZbJFx0z1DHLmK0+y/2PvJdF5kMxQP9nR4UUZ+k44TKS+mXBD05zXwI3EEq5vItV7vaxZJhAgVFO34v11IxHyk8v3vV9JoIyfp4hUzst7XDt9lS/8iz8tWkrey3t8899+DWstt7/7znXPYre+JZqIVTw/WhXF932cDag6cyNxAy6d9+yjtbON3gulbwrctr+DPXd1ruPKREREREREblwbWR4fa+0VY8xdwB9RCMbH5xyem1JlgS8Df8taW1kjSxER2XTW97Gez8CJ8wyeuEB2opABG6qO03T7Phpv68Q4ZkPKb8vWNRukv4Via9b3yY4O46VTZc1LD/UTaW7FBEovK5sZnSi5LP5CA8fO0HrPoYrmlsoYM/s45MZHyY2PEqyqpqW9kfa/8RhuMIj1ffKZLPmJEcbOdOFn3wqYe+kUgVgVxnHIV5BlPyOfnMINR0rO7HYCpW1kGL/cw5t/+m3aH7qL+gM7ibV2kJscx+ZzYBzcSJRgVQJr/RuqJP5cxjhEGpvJjAyVvAkFINbaseJxa33C9U3kK+hN78biuBH1TBbZCNZa/vJ//2JZvd+/8++/yZ6je0nUJ9ZxZYWNa4ceuo2ffaV465WlHHrotkIrG1nE+pZf+71P8yf/6I8Z7h4qOr6ho5FP/e5v4Hv+um3W8PLe7M/LGINb4t9qERERERGRrWBDg/YA1tph4NeNMf+UQo/7e4FmwAWGgNeAb1lrz2702kREZG31vPgm3T8/hpeZnyWZHZ9i8lo/V556ifaH7qTt/iObtMKbx0zfZt/Lz/aAdgJBmN4QoWzTrcU4DumhgfInWktmaIBIc1vJP9PUyHj5tzMtPVJ+sLQiCwIiuclxcpOlrXtuMMXaVZTbXalE+xK3GW9tIDU4Ou96Jxgg2lhLIBLCej7ZySTp4XFSg6Oc/8bTBONRmu7cT9sDR3CDgemNKoWfY7GA/dze7IX7bLdWkN84VO/Zz/iFM/jZTNHh0bYOQnUNKz6PjXEI1dSRDAQLmxzKEGlovqE3QojcKLy8x5s/OU5yPFnWPD/v8fJ3XuCdn3rPugZWHcehtbONtn3b6DnXXdbc2pZaOu/Zp/dQy3Bch3A8wm/+m/8P3/0P3+T0cyeXLHvvBFwOPXSYD/ztDxMIBdc8YG99i8WSz+Y59eybTAyNg4GaploOPXQbjusUNgnr5ygiIiIiIlvchgftZ1hrLwP/12bdvoiIrK9LP3y+aEluL5PlylMvkZtKseM9923Qym4uMwHL3MQYmcH++YFOYwhV1xJubCYYT8wL+snm8jJpvFRlWeGZ4UGiLdtKHm9X0Td2NXPLYQJBKCNDey7HDcxmxxsnABQPGC+5BtctvX+6hZZ7DjF44gIAkfpqmo8epPHIXoLR8LyhE9cH6H/9NMOnushNpRjrus72d95d2s3MbMbJZUkPDRQqEvj+bFn5QmuJrbEpxxgDgQDV+w6R7ushMzKI9RZn3QbiCSLNrQSrqkted7x9B5OXL5S8lkBVglBt/ZZ4XERudm7A5ZXvvFjR3NefeIV3/doja7yixby8x9s/9g7+8l9+qax5D3z0IXzPV7b2CtyAizGGX/qdj5MaT/Lyd1/k6puXyaSyhKMhdhzZxT0fuJ9oIoq1ds3bDHh5j4nhCZ77yk84/vQb5NLzW9d8///+Nrc/chcPffydxKpj+lmKiIiIiMiWtmFBe2PMbwFPK4NeROTm5ns+gyfOl9VDu+eFE8Sa66k/uEt97stgrcV6HhNd55YOAFtLdmyE7NgIwepaqnbsmW4br0DWWvA9HwwVfQA9t7x72XNz5WUch6oq7+UbjK9/eXFrfUI1teSnKsjqN4bgdE90ay3BRHXFmyGCiZqSXxvGMVS1NRFrbaD5jv203H2Qsf4RfvKlZzj93ElS40ncoEtjRxNHH7+XQ4+9ne3vvpcL33iapjv24Xte0d911vr4uRzJ7ivkxscWHc+ODmMCQSJNLUSbWrfEphxjHHAM0bYOom3tZEdH8NKpQqDGDRCqrcMNR6Yz4Et8rI0hWF1LvGM3U9cvLarKsFAgniCxa+8a3BsRKYWX9+g+d72iuVOjU4z2jVC/rWGNVzWfG3A5+PbDvOOT7+anX3y6pDlHH7uH+z70wLqu62Yxkzkfq4nz0Mffifupt/6+eXlvNlC+1n+jvLxHz/luvvi7nyc9tfTGv0wyw8vffoFTz57gU7/3aZp2NCtwLyIiIiIiW9ZGZtr/34A1xvQBz0x/PW2tPb2BaxARkXXmuA49Lxwve17PC8dpvK1zHVZ0c7LWgu8zceE0XgkZyrnxUSYunSexe98GrO7m5XkeBug61sXkyASO49C4vZG2ve3zPpjeSmIt9YRrE2RGyw+KNxzajfV9zBpnxs1ljEO4vpFk7/WyStQDhWzqOS0gIo3NpPt7gfL6Dwera3GCwbLm+J7PwU88Bo7DX/3hVzj50xNYf/7tTo1OcfnEJX74/7J333GSVWXCx3/n3ls5dE4z3ZPzMOQoqCBKzigoJpBVd82uYdVVV/dVVze46q66JsAEiGAABFFQQJGcw+QcO3dXV1e64bx/VHdP93Sqqo7T83w/n4Huuufce/rWrerq+5zzPD+8l/P+/iJWXn0OyjDGDVxo7eFmMvRs24R2ndHbOTbp/Xtw0ykiTYuLGv9UOfizKfzlFaArBm/s+19x15NSCn9FJWYoRKa1mVx3x7DgvRkMEaiqJVBZfcg4hBBTyckVN5HsUNl0adlRiqWU4rVvfR2R8igP/fwB0j3pEdv5QwFOu+J0Xv3mM6dlXHPNoZ+Dpupzkee6dB7o4JZ/+QnZ1PjXUG9XLzd/7sdc/42/J1YVn/QV/0IIIYQQQggxGaY7Pb4C6oGr+v6hlGplaBD/lWkekxBCiEmiPY+e3c1kOoqvoZ1q6SS5r4VIffWUBgjnktT+3QUF7Ps5yQSZ1maCNbVS57lIruOS7knzxJ2P8vz9z9DbNXQ1d82CWk644GSOPed4DMMYt16r4feXPJZCg8taa9Aa7XrUHreS3X9+quhj1Z24pvCU8ROhDIJVtWRaDxTRRxGsqR/6UN9q7lxXR1GHD9bUFb1SXSmFskx+9pkb2bNh95hte7t6ueNrt3HRBy/l6NcdizLHCdq7Hj3bN48ZsB8s19WB4fMTqp8/q4LVShn5T/+Tsi+FGQwRaVpEeH4TdqI7f36UgRUKY4Uj+Qkms+jnF+JIYAWKm/B0qEA4OEkjKczx553Iseccz8sPv8jzf3yG7pYuNBCrjLHudcdyzNnHYfpm3wQ8MZRhmtx/w30FBez7pRIp/vyT+7n0o1dO4ciEEEIIIYQQonTTGbRvAF4LnNn3/9V9j9cCb+z7h1KqDXiYg0H8l6ZxjEIIISZCQ/uGHSV3b9+wg3Bd1WTFeOY2zyPbWVxgEiDb3kKwpm4KBjR3uY7LgW37ufULPx11ZV7rrhZ+/3938/z9z3DNv76DQDgwZvpzMxDEDIVx06mix+OvqBo3wNyfWr1n2yYClVXUHruSA0++gp0s/HhVa5cQiEeKHl8plFKE6ufjZjPYia5CehBpWowZCA47D5HGRbiZdL7+ewFCDY1Y4WjxwV4F9377rnED9gO05p5v30nDsnnULKwddZWf1ppsewvaKW71aqathVBtA8zhEiP9z1F+ckZlfrW9gv6ZATLhS4jpZ5om81c2sXdjge+Fg0QrY5TXlU/+oMZgmPmJdUe99miOOfu4Idtma8YcMVxPe4KtT28uut/6R17hvPdeSDA69eV/hBBCCCGEEKJY03ZnS2vdrLW+TWv9Pq31WqCO/Gr77wD9q+sVUANcAXwTeF4p1aqUun26ximEEGICDIUzgTSnTjorK8ALoD2PbEcr6OJSiQN4dg67J5FfhS3G5Tounfs7uPlzPx41YD/Y/i37+Nlnb8J1xn5utOcRrKopYUT5FPBjB+w12nFI7txKqLaeYHUdhmWy6upzsEKBgo4SW1DPkgvOmPbrJLpwaX5SyRjvA4Y/QHTxMvx9tewHU0qBUsSXrsIXKxv7YIZBeP4CgtV1Ja3OTvekePGhF4rq47kej/36EdQ4U5MyHa1Fjwftke1oQ5fwvnA4Ukr1lRoYv9yAEGLquI7LiRedXFLf4845YVhZkekyUnBeAvaHB9dxeeb3T5V07bi2w3P3P4tjF5bJRgghhBBCCCGm04xFRrTWrVrr27XWH9Bar+Pgivv/AfpX1yugCrh8hoYphBCiGBoMq/RfLfmVyRJMHo8yDOzeZMn9nd6eYfWgxchMy+Seb99ZVPrV5m0HeOzXj+A67qhtlGHgL6/CDBa30itQXYMyx06UpJQi3bKf2OLlWJEYqf17SGxZTyAeYu07LiK+sGHUvobPou6E1ay6+tx8UHQag6H9xwvVN1Kx5hjC85qwwlGMQAAzEMQXLye2eAXlq9bhi8ZHHZtSCgyD2OLllK1YS6CyBjWw+jyfYj08r4mKNcfkt5XwM7qOy9P3PIk3xnM8mlf++vKYNZyd3h60XVqN6GxXu0x8EkJMK9MyWXPGUUQrosX181mceOHJEigXRTNMg4597SX379jXLpO9hBBCCCGEELPSdNe0H5XWul0ptQVoBBYAi4Aok1YJUwghxFTT2iNUXVFy/1B1eT7t9ySOac7ySl9NqyfQ90iiPU3HvnZ2vbyz6L7P/P4pTr/qNWM3UorY4hUktm7Ay40/KcBfVkG4oWncVfaebROqm4+b7qVn59aBayWxdSORxkWsfst5ZDq6aX5mA70tHXi2gxX0U760iZqjl2NYFihm7Ia2UgpMk0BVDcHqoaUc+lf+jze2/u1GIEh4/gIijQuHlBTQnjehVOqmZbLp8Q0l9XVthy1PbmTNa9YNS5Gff/5yJY/LKzHYL4QQE3XVZ6/hJ5++ASdXwApmpbj0o1cQioWnfmBizlFK4bmlf5b1XFeC9kIIIYQQQohZaUaD9kqpo8nXuD8TeA3QH+np/wsqCzwGPDjNQxNCCFECwzSpPWYFe/7yDLrIm2mGz8oHDOdwPeZJNYHzpOQcF0SjefJ3j5fUt6c9wdanNrP0hOUY5sjBYaUUWCbx5atJ799DtqtjxMkYhs9PoLqWUE19QenqFeBmM/Ts2DIko4J2bJI7NmMGQwQqa2g684R8gL6P57qAntGA/WAjrRgvdlyD2w/5ehJqn2eS45dLGE26J51P6zviMCZw7mf+aRNCHIFMy6R+aQNv+/J13Palm0l1947a1hfwcck/XsmqU1dNynuxOPJ4rku4LFJy/0h5FM/zRv18JoQQQgghhBAzZVqD9gUE6TMcDNI/BDymtS69OLIQQohpZwb9VK5cRPsr24rqV7V68ZAAohid9jx8kRh2d2dJ/X3ROMyCoOxsZxgGrTtbSu7fvOMAi49bOuZNYaUMMBTh+QsJz2si29GOk+4Fz0OZFr54WV9t9sJXmCu/n56dW0YtgeBm0qT27SK1bzfKMlHKQHsuwep6AtW1GzNJlQABAABJREFU+X5yfYzL9Jf+fmUFfCMG2JVSmP5A6WPyld5XCCEmwjBNGpbN40M3foyXHnyBp373OAe27h/YXjmviuPPP4njzj0Bn98nAXsxAYp1Zx3D0/c8UVLvdWcdgykTWIUQQgghhBCz0LRFR5RSbQwP0qcZHqQvPSeoEEKImac1C153Eold+7ELXInqj0doeu0JUzyw4nju8BU4Iz02E5RhEKisJnVgT9Fp8o1AEF80NkUjm3sKSvM7wb4DgXhlEqisJqDyddbzq+r7U7oXFkTXWuOmenHTqUJaox2H/tB+tqOVYG39qMF+cZDWmrpF9bTtai2pf/2ShmGp8ftZkShGIIiXzRS930Bl9YRT/x/JRiq/IOdTiML116dfd9YxHPuG48mms+TSOXwBH8FIENdxpYa9mDDDNGhc1UTNwtqiJ1c2rVlAdWPNFI1MCCGEEEIIISZmOpc0VsLAfeE7gf8GHpUgvRBCzC3KMLBCQVZfcz4bbr2PXGL0FKkAgbIoq95yHmYwgDJmfnWv1honnaX5mfW0vbSVXDKF6htn9brl1B63EtPvm/n04UoRqKgm217czcpgVa0EoYoQiodK71tCrd7Bz0sxwfrBMh2lBZI9O4fd053PxCDGpD3NiReezMsPv1h03/qlDTQsmzf6vrVHsLKG1P7dRe1XmSb+8kp5bZdAaw+lDNxUL5n2VtxsGrRGWRb+sgoCFdWg1My/7wtxmOgPzAdCAQKhwLDHhZgo13F59ZvP5Fdfu63wTkpxxtVnyuQRIYQQQgghxKw13XmI++90XUw+Pf5flFIPkl9l/6wupFCrEEKIWc8wDQJlMda96zKan15Py/MbhwXv/WVR6o5dSd3xq1CWNeMr2Pt/Be184Alanlmfrzfdvw1It3ez+8Gn2PPXZ5l36joazzhuhkZ6ULihESfdi5sae2JEP19ZBcHq2ike1dzhOi6rTlvDlic3Fd1XGYrVp6/B8k3vRy2lVEkrtPu52YwE7QtgmAZNaxZSs6CW1l3FTZw54fyTxwwYKGUQqKoh29GKW8RzGaqbP2JZA629g9NmJfA8jNYaJ5UitXcnbmZ4dhgn2UNq/x6CVbWE6ucD45epEEIIMbVMy2T16Ws5821n8+DPHhi/g1Kc8+7zWXzsklEz3QghhBBCCCHETJvOO8lnAa8lX8/+VKCcfPD+or7t3Uqpv5JPlf8gEsQXQojDmmEaGKafhlPXMe9VR5PYdYBcdxIUBOJRYgvq0Z6e8WD9YFt++yAdG3aM2UY7Lnv/+hxOKsOic06bnoGNQCmFBuJLVpDcsRU7mRizfaCymvD8hWitJeBUINMyOerMo7n/R78n01tcIHzJccuIV5dN0cjGNqGPT5589CqE1h6u7XLxRy7jJ5++ESdrF9RvyXFLOeb1x43/vqcUsSUrSWzbWNAkjFDdvCETcvqvAe065Lo70Y4LhsIMhPDF4uTLLsye996ZorXG7kmQ3Lll7LIQnkem9QBuNkN04dLpG6AQQohRKaU4/arXEKsu46GfP0CitXvEdhX1Fbzu2nNYddqaWZHVSwghhBBCCCFGo2YiLq6U8gOncDCIfxrQn3+2f0DdwEAQX2v9zPSOUpRCKdUI7AbYvXs3jY2NMzwiIcRsovvqr8+29M2e63HgiZfY/dDTRfVbcuEZVK1ZgmHOXIrN/iC8k+ol09ZMrrtzIPikDBN/RRXB6lrMQHDGxng481yPh2/+M3+97aHCOynF279yHY2rmzBn4NpIbNuEM84kjtGE5y8kUFklAd0C9O7dSaBmHns27uGXX7qZbCo7ZvtjXn8cF7z/EgxDDXsP7E/PPvQxDZ5Hunkf2c42tOsO26cVjhKsqccXLxuYjKO1xk2nSLfsx050c/CjdZ7h8xOoqiFYXXdEr7zXWuPlsnRvegW0V3C/YE09ofr5R+x5E0KI2cZ1XAzDYMtTm3j+gWfpaU8AirKaMo499wSWHLtUUuILIYQQQgghJt2ePXtoamrq/7ZJa71novuckaD9sEEo5QNOIh/Afy3wKiDCwbuMWms93an8RQkkaC+EOBxpT/Psd36BnRyeGnksoZoKjr7+sqkZVJEG/z7XrgsqH7TvJwGm0mlPc/u/3crGx9YX1P4N7z6fky46ZUbSr2rtke1oJ7V3Z/GdlaJ89dEYlm/yBzYHdW18CWUYRBYsJZ3M8uTdj/PcH58h1T20XMWCoxZx0QcvoXJeNW4uR7a9hVyiE+04oAzMYJBAZQ3+sgpg6Gt14HWtNbnuDtxMBu15GJaFr6wCKxgaEvDXWpPrbKN3z/jPvxkKE1u8AmWaR+T7g9aa1N6dZDvaiutoGFSsOWbI+6sQQoiZ57rusMmSnuvO6ORaIYQQQgghxNw1Z4P2/ZRSYeDVwBuA64E4oMgH7eUvrcOABO2FEIcbz/Xo2rKLzb/+c0n917z9QqIN1bMue4CYPNrTaDT333AfT9/zJK7tjNguXBbhDdefx1GvPXpG069qz6PrlefR3vCV2WPxl1UQWbDkiAzglqJrw4t4uSzK5yNUXY+vvBKUwe6Xd9Db1Yvpt6hdUEvFvCrQmt49O8h1dYy6P2X5iMxfgC9ePuJz0J+pJP/JmGGr5LXW2Ikukju3FvwzmKEw8aWrjsj3L+25dL7yPHiFr7LvF57XRKCy5og8b0IIIYQQQgghhBBiaoL2M7p6vS9Ifwb5FfZnAidwcEyD71ampnVgQgghjhhKKTq37C65f+emXUTqqpBs4nOXMhQKxRvedR6vectZPHPvk7z8lxfp7erFMA0q6is57twTWHPGWkDNfL1UpQhU15Jp2V9MJ4I19VM2pLnIsCy8XBZt26T274YDewlUVNLQVAYL86vmTX8AtKZn2yacVHLM/WnHJrlzK5GmxfjLK4cF7ocEiEe5xHr37SrqZ3DTKbIdrQQqa6D/eFrP+WC01ppcoqukgD1ArqszX15ACCGEEEIIIYQQQohJMq1B+yKC9L3A34CHyNe0f3K6xiiEEOLIogyFm8mV3N/N5mY+SCumhTIUwUiQUy57Fa9646uHbHOd2ZN+VSlFqG4ebiaNnegqqE+kcSFmKCyr7AuktYe/rAInNSgVvvbIdrQNpFs3fH7KVq2jd8+OcQP2g/Xu2YEZCmMGggU/H/2r7LVtF/VzAGTaWwlW15Fu3oeby2IGQgSqqgfSv8/Ja0LrfHmCEnlu8edZCCGEEEIIIYQQQoixTFvQXin1N0YP0ieBRzgYpH9Ka136nTQhhBCiQFprlFV6sNWwzPw+JnFMYnYzR7heRnpspkUXLiV9YC+ZthbQHobPjzJN0BrPcdCug+HzE56/AF+sbG4GZ6eIUgaByhpSB/aBHnm1dqCyBu3YY6bEH5HWZFoPEGlcVMR4FNn21uKO08fLZrB7ezB8ftLN+wBIN+/FX1ZBuKERLAs111KJKA5mFiil+1w7H0IIIYQQQgghhBBixk3nSvtTB33dA/yVg0H6p7XWxRVeFUIIISaB9jwidVV0rN9eUv9wXdUkj0iIiesPwIfq5xOqm4f2PAxr6Mc+z7ZRfY9JwL4EhkGwqoZMW/PwbUoRqKwm29EKWhe961xXB5F5C6CI7A1uLlv0cfp52SzK5zv4gNbkujqwkz3El67E8PvnWKBaYQaCJfc2/IFJHIsQQgghhBBCCCGEENMbtP8dB4P0z2g9yrIkIYQQYhoZpkntsSvY85dn0G5xv5qsYICqNYtnTVp0IUamyXW1k+vqxHNtFAojECRQVYMvGgc0oxZJF6NSShFqaMTNZYeVITB8fgyfL183vRRak+vpwl82vLb9WH1KpbXGGOEa0I5Nz7ZNxFesQZlzJ2ivlMIXjWP4A3glTHYIVNXkM6wcAZNdtPbybxEASh0RP7MQQgghxFwy0ufWI+WzrBBCCHG4mbagvdb64uk6lhBCCFEMM+CnctUi2l/eVlS/6qOXyR+6YlbSfQHc9IG9ZNpbwBs6IcXNZrATXX3p8Rfii8XlWi7RQBmCQedZ9U3kmUjddO24FDOhQlkW2LmSjmVYFtodeayenSPb1kKwtn5OrbbXnkegqob0/j1F9TP8Afyxsika1ezQfxPXs21yPV1o10UpAyscwQpH0J6HMubOtSCEEEIIMRf1/01oJ7rItrfiZNPg5csD+uMVBKtrMXx+CeALIYQQs8h0rrSfNZRSceAC4CTgRGA+UAOEgC7gFeAe4Eda6/YC9vcq4H3Aq4G6vn08D9yktb6liHG9BbgOOBooB5qBvwDf1lo/WuA+wsAHgDcBS4EAsJt8poNvaa13FjoeIYQ4YmjNwrNPoWd3M7lEb0FdQtXlNJ5x3ITqIgsxlXp3bSPX3TlmG8/OkdyxmUjTYvzlRazqFsDwMgTZjjZy3Z0DQXsmENhUhqLQgL3WHv7yStLpVPHHMU18sTJS+3eP2ibT0UqwtqHofc9myjAIVtWS62zHzaQL7heev2BO39jUWuOkesm0HhiWQQLADIYIVNUSqKwGhpfW0NpDKWNghb4yjIEbxnP1nAkhhBBCzDZaa+xkgtSeHXi2PXSb65BpPUCm9QD+sgoiTYvzU4Xls5oQQggx45SeQCrNw5VS6vXAHwto2ga8TWt93xj7+gLwOWC0u7K/A96otc6MsY8QcDv5iQQj8YB/1Vp/cazBKqWWkZ9ssHyUJgngrVrru8faz0QopRrJTxJg9+7dNDY2TtWhhBBiUnmuh51MseHW+8h0JsZsG66rYtXV52AF/bLaUMw6WmvSzfvItOwvvJNSxJetwgyG5WbNBPQHLPNf64ImTowmvmw1Zqjw58NzXbpeea7oNPmB6jrCdfPoXP/8sIwMg8UWr8AXixe179lOa412HXq2bRo/cK9UfnJLWcWcfY1orcm2NZMqIPuALxonumjZQMr8/nOZbW8l29GG15/1QRn4yysIVtdhhcJzesKDEEIIIcRsoLXGTnSR3Lm1oPZmKEJ86UophSSEEEIUac+ePTQ1NfV/26S1Li6d4wiO5EjDbuAnwIeBK4DTgNOBq4FfAi5QDdyplDpmpB0opd4L/Av587gVuB44GbgM+HNfswuBG8YZyw0cDNj/ua//yX3729q3/y8opd4z2g6UUjHyEwT6A/Y/AM4GXgX8M5AE4sAvlFLHjjMeIYQ44himgS8aZt27LmXhG04lVF0+rE2kvorFF5zB2ndcJAF7MXtpTbatZchDhs+Pv7wyv0K2qgZfvBwGpzrXmkzLgekd52FEaz2wWlhrb8jXgx2aPj5QVVvS8cxQGCscKeqmmTKMoo+nDJNgVS3ZrvYxA/aQz8ow1yb7KqVQpkV82WpC9fMxfP6RGuEvryS+bPXcD9h3thUUsAewk4khN4IzLfvpWv8C6eZ9BwP2ANoj19lOYvMr9GzbBJ43564jIYQQQojZQmuNl8uS3FV46T833Uvvnh1z9nOuEEIIcTg5Ulfam1prd5w2lwG/7vv211rrKw7ZXglsA8qAXcAJWuu2wcfo639x30Nnaa0fHOE4rwMe6Pv2LuDywWNTSlUDTwMLyKfdX6K1HrZkSyn1r+RX/AN8Umv9H4dsfxXwEPmSCA9prc8c6+cvlay0F0LMBZ7rYpgmqZYOsolelFIEymOEqsoGtgkxG2ntke1oJ7U3Xw3HF4sTqKrFFysDrdGum19BYZpozyXX0U6mowUvmwWlKF99DIZ1RFZPGlH/qmAnnSLT1pxfNd8X3DYCQYKV1QQqa8AwRr3J1bXxJbzsqAmXRhRuXEigoqroGvJaa5I7t46Y1nwYZRBbtAwzGCSxZf2wtJmHijQuwl9RNWdv5mnPA6Wwkwm8TAatPQzLwldWgTLy7/lz9WeH/M/f9crzaG/MP5GG8MXKiC1eTmr/bjKtzQX1MYMh4stWy0ouIYQQQogpoLUmtXcX2Y7WovuWrz565EmsQgghhBjRVKy0PyKD9oVSSm0AVgJtWuuaQ7Z9Evha37dv0VrfOkL/RmAHYAL3aK0vHKHNPcD5gAMsHulJVUq9Gbil79uRAvI+oJX8BIL1wFH60KVf+Xb/B7y379uTtdZPjvKjl0yC9kIIIcTM6tm2CTuVJLpgCf54OXYyQaa9Fbu7C+irLW1aBCqrCVTVYPj8pPbtJtveQnj+QgKVxQeL5yKtNXgePTu34CR7Rm+oDMINjQSqakas7+2mUyS2biw4bb0VjRNbvLykgGb/5/r0gb1k2ltGXT1vhsJE5i/E8Afo2b4JN50ad99zMT3+SLTWQ56rIyGjivY8sp0HJ/sUKr50FZ5jF5x6tZ+/oopI4yIJ2gshhBBCTDLteXS+8ty4WbRGEqxtIFQ3Tz6jCSGEEAWS9PjTr/8ObXCEbZf1/T8B/Gqkzn1P0P19357dl8J+QN/3Z/d9e/8YT+iv+o4DcPkI288iH7AH+PFIAfs+Nw36eqT9CCGEEOIw53kuscXLscIREls25IP43Z30B+wBtOuQaT1A94YXSR/YS2T+AoI19WjHGdzsiNUfsE9sWT92wB5Ae6T27SLTemBY2m+lDMxQhNii5VBA8NcXjRNbtKzkcau+1cuh+vlUrDmW8PwFWNH4QLr9QGU18WWrKVu+BpQisWV9QQF7w+fHisbGbTcXKKVQhjHw70igDKPo1VhmKIwViZI5pBRHIXJdHUWt6BdCCCGEEOPTWmP3dJcUsAewuzslYC+EEELMMMl/Ogql1Erg2L5vNxyyzU++5jzAo1rrHKN7CDgXCAAncrDWPcBJgH9QuxFprXNKqceAc4CTlFI+rfXgHKZnHHK80TwFpIAwcPoY7YQQQghxmArVNmAGQiS2bigoLXum9QDac4nMX0i2e1gFniOSUoqePTtwi0hrnz6wFysSG1aLXimFFY1RvvIoMm3NZDva0a4zpK8VjhKorsFfVjnQZ6LjRykCFdUEB9W511qT6+4ktW83TipZ8P4CVTXkZ3PITby5qphrHSBQWYObSeP0jjOpZSRak21vJVhTJ1k9hBBCCCEm0aF/ZxTDc2VSpRBCCDHTJGg/iFIqDMwnX4f+kxw8P984pOkK8inv4ZCA/ggGb1/N0KD9mlHajbafc/rGtBx4pdj9aK0dpdQW4Oi+sRStL/39WOpL2a8QQgghJk5rjS9WRu/u7UXVUc+2t+KLxPBFYyCrK/DsXF92guJkWg8QXbh0xG3K8hGqm0+obj52bw/acVBKYQSCWKHwwMrjyVzdMtJKcc+2iwrYGz4/wapaCa5OkOu6mKY55DHP9TDMWXJeiyyZZgZD2MnE+A1HYfckCNU2lNxfCCGEEEKMYAKf2WWVvRBCCDHzjvigvVLqWuDGMZp8Fbj5kMcGB67Hq1Gwe9DXTYdsm8h+Bgft+/fTq7XuKmA/RwM1SqmA1jo7TvuxxiGEEEKIWUa7DrmuEgLO7S3EyyunYESHF601mfbiUoX3sxPdaNdBWb5B+/PwbIee7Zvw7ByB8kqsSBRlWuB5OL099O7ZiZvuJVjbQLh+/mT9KMMopQjV1KEdm0zrgXHbGz4fkYXLyKZz+IJ+TMsct484yPM8DMOgp6OHp+5+nE1PbCCTzGD5LeoW13PihSez6OgluI474+dWWRbatsdv2N/eNNETWI0l6fEPb1p7Qyby9JcGkZv9QgghZoL2NBqNMWjC6mz4fDXdlFJYoXDJ/c1QaBJHI4QQQohSHPFB+zE8B7xHa/3kCNsGF/Ucb6lS76Cvo1O8n0KWTR26n2KD9kIIIYSYtfJpp0spTO/0JnEzaYxA8IgOvCil8rUgS6KxE934K6pQSqG1Rjsuia3rBwKi2Y42sh1tI/bOtOwHzyM879B5nhPnuR671+9i46PrOefd52MEQmTbDuBm0sMbKwN/eSXBmnq623r404/v503//JZJH1MpPM9DoVCGGrJ6fbbdmPVcD9dx+c03b2f9Iy+jvaGvyc79HWz42ytUzq/iko9cwbzl82ds1b3WGn9ZBdli6tN7LoyQyaFQI2WBmKjBgWOt9cD7mPa8KTnekab//GrXJdveip1MoD0XpQysSIRAVS2mPzDk3AshhBBTqf/zX/veNp68+zGatzfj5GxC0RDLT17JseecgOW3UEodMb+bzGAIKxzBSfWO3/gQgaraYRPzhBBCCDG9JGgPvyFf6x0gBCwFrgIuB25RSn1Ea333IX2Cg74eq549DA2KHzplcbL3M94+xttPIca7i1wPjDTRQQghhBBTTCljYimrkwkC/sARnyJ/wiuItYa+m4M9u7cVtYI509aMFYvji8Ym9YaZMhRP3f046x95me6WLl5//blUrFhLNpHATXbjufl0/WYwhC9eCYbBK395kd9/7x6yvRna9rRS3VgzaeMpVn8q+f1b9vHknY+x8fEN2JkcyjCoWVDD8eefxDFnH4dpmTOect7zPBzb4Sef+hEHtu4fs23H3nZ++pkbefO/vI0FaxfO2MSDYHVdUUF7N5fFCkcOPqBUUSn2rVBk0oK7/TeXnd4kmbbm/KSbvrGYoQjBqhr85ZUDr0lRPK090JrePbvIdXcMe66dVJJMazO+WBmRxkVgmXLDXwghxJRyHZfOA5387n9+y+5Xdg7bvv35bfz5J/dz7Dkn8Ibrz0UrNWQl/lyltUegqhYntb2ofobfjy8al89KQgghxAw74oP2fenkuwY99CRwq1Lq7cCPgd8qpa7XWt80qM3gIrH+cQ4RGPT1oUuZJns/4+1jvP2MS2s9Zhp/+XAnhBBCzCzteaX3nUCwerK5jgsKTNNEa43juPh80/PRdUKrcg0DVH5VqpfL4iR7it5Ftq0Ff6ys9DGMQCnFgW35APLGx9az8fENLD56MSdedApNqxcQDAfwHJdkRw/P3/oQz/3xaXq7Dq7Q2b95H5XzqmbkZqfruGRTWW770s3sWb9ryDbtebTsaOb3372bP930B85/38Uc9ZqjUcbMfSY1DIPffv2OcQP2/Vzb4ZdfvoV/+O4HiVXFp3h0wymlMP0BfGUV2N2FldbIdnYQX7yc8OKV+MLh/OvU88hlMriJTrIdbWhn9MkqgeraSRl7f/mJ5I7NI2aNcNO99O7pJbV/N5GmJfhicjO6WFpr8DSJrRtGzswxiN3TTffmV4gvW4Xh80ngXgghxJRwHZeWHc387LM3ke3NjNrOzto8eddjtO5s4S1ffDtazf1sMKovY1auq6Pw7GFKEWlcPLUDE0IIIURBjvig/Wi01j9VSl1EftX9/yql7tRad/RtHnz39dBU9YcatARlWPr6yd7PePsYbz9CCCGEOMxNJEiijJlPL27bDj6fxdNPPM+9d/6Jzo4uLMti0dImrnrrJdTW1+A4DpY1NR9jtdaYoci4wanRWOEokL8ZmGlrLmkfdk83bi6H6S9kPmbhnOygIKrWbH9+G9uf31ZY35ydT/E+zTE4z/XIpXPc+PHv07m/Y8y2uXSO3/7XHThZh2PecNyMTDDQWtPd0sXGxzYU1S+XzvLk3Y9z5tteh2FO/+tQa020aTEJO4c7TjrVQFUt/uo6XNflL395hoce+Bs9iSTBYIBVa5fzxrdcRNnKerJdHaT374ZDJhL5onFMf2CUvRcz5nzAPrHlFbTjjN3WdUnu2Ex04VJ88fI5f8N+MimlSOzcUvB7onZserZtomzl2ikemRBCiCNVLp3lli/8dMyA/WA7XtjGPf97Jxd/5PIpHtnsEV24lOTOreMH7pVBdOESrEhUPh8JIYQQs4AE7cf2W/JB+whwHnBz3+ODV5s3jrOPwenkdx+y7dD9PMXoxtvPKUBEKVXelz1gvP20aq2lnr0QQggxh2itsSJRnFRp8/KsSLQ/3jxj7vnNH/nht3/Gzu3Dk/v88H9/xhlnnsInPv8B5jXWT9nK+2B1LbnOkevOj8UKR7CCB6sPOb2lz490kgmMiqpJvXkWjIbo6Sh+5T9AIBqakbTzhmnw6/+4bdyA/WD3fOcuGlc1UdVUPe2Be+1pnrjrsaJSxfd77o/P8Nq3vm4KRjU+pRQaiC9ZSe/eXeS62kf8GUINTQSravjRd2/mlpt+RWtL+5Dt9975AN/++g2ce+FZfPxz7yOyaDmpnVvRbj6oriwfkaZFk5IaXymD5I7N4wbsB0vu2kb5qnUo3+ROiJmrtNa46VTRGUO8XJZcZwf+8sqJZS4RQgghDuE6Lk/97glS3cXVbH/hz89z1jtfT7QiNkUjmz36P9dFFy0j191Jtq1l2N+HyjTxV1QRrK7D8PklYC+EEELMEvIX9NhaB329cNDXm4D+/LGrxtnH4O3rD9n2yijtxtqPA2wuZT9KKQtYOspYhBBCCHGYU0oRqCot7bQZCudrVBcfa5w0//2V/+NzH//qiAF7yNcKf/hPj3LNJe9l4ytbcOzCg3WFUkphhcKYocj4jQ8RqKpFex5ONr/qZyLlBrTnlRT4HY3ruiw/eWVJfa2Aj6XHLZv2m3laa9r3trHt2a3F9fM8Hv/t32Zk/olhGmx8tLSP2anu3mHp/6eTUqovPepCylcfQ6h+PlY4ihEIYobCRBctw19Zw8fe9y98699/MCxg3y+XzXHXr+7jLRe/l47uFKGmJaAUhj9AfOkqlGVN+FrSWmMne4rPiKE1mbaWfMp3UZBSM4Zk2lslYC/EHJXL5bBtGzuX/yfEdFKG4pnfj7XmaWTa83jq7ifyJbiOAEoplFL44+XEl62ibOVRRBYsIdK0iOii5ZSvPoZwQ5ME7IUQQohZRv6KHtv8QV8PTEnUWueAJ/q+PU0pNdZSjdf2/T/L8JX0TwK5Q9oN07f/U/v7aK0P/avoryMcbyQncjA9/iNjtBNCCCHEYUhrD9Pvx1dCPfRgVe2M1bR3HJdbbvoVN37vloLa9ySSvO+dn6Sjo2tKgm9ae0QXLEYVkabcX1ZBoKKK3j07SO7YAlBU/0Mpw4BJvIFmmiYnXXRKSbXe155xFL6gb9LGUiitNU/c+VhJfV96+EXs7MwEEtI9pZVWAOjt7p3RgHL/DV7DsgjW1BFftorylUdRtnwNvlgZX/vit7j/3ocL2te+PQd479s+Bv4A8SUrKVuxFsPvn7Q655n2lpL6ZTuKz6JxpFJKkevuLKmvm+7Fs3PjNxRCHBacvkBny4FWfvrDX/L1L3+Xb3zt+/zy5rtI9vTieR6e642zFyEmbu/GPfS0J0rq+/JfXsS0Zr4c2HTqn0BnBoL4yyrwl1fhj5ehDGPgc58QQgghZg8J2o/tTYO+fvGQbb/p+38cuGKkzkqpRuD1fd8+oLUeklew7/sH+r59fV/7kVzRdxyAX4+w/UGgv0jRO9Xon7iuHfT1SPsRQgghxGFMKQM72UOkcSFGEemf/WUVBCqrsUtMqz9xmu9968dF9ejq7Oam792K503+DWKlDAx/gNiSlShr/GC1v7ySSNNiMm3N5Lo68Owc2nPz5QZKZEVjk34TLVYVZ9Vpa4rqY5gGp17+qkkdR8HHNgy2PXNogqnCOFmbHS9sn+QRFcb0lX4z2PJPfBX6ZDk0uN7Z3sUvf3ZnUfvYsW03d97+e7Q/MHBzeHLGpsav0ToK7Tq46dSo213XHZg4MXg1nm0featJtedOKOOHV0TpAiHE7OU6Lhte3sQHrvsU55x2Fd/82vf5+Y138NMf3sZX/+WbnHXCZXz+41/lwP6WKcmCJEQ/rXXJpZ4AeruKS6k/10iQXgghhJj9jsigvVLqWqVUcJw2HwUu6Pt2O/CXQ5r8kIOB8q8qpaoO6W8C3wH679r9xyiH+s++/1vAt/v6Dd5PNfC1vm+7+o47RN/K/2/1fbsa+PgIP89pwPV93z6ktX5ylPEIIYQQ4jCWat6L57rElq7ECIz5cQcAf0UVkQX5gLObmv4bWbbt8IffPUhHe1fRfX/7y3unLMWlUgozGKR85VGE5zWNcC4VvrIKYktWEF2whGx7C6l9u/ObPI9cV0fJpQp8sTimPzCxH2AEnudx8Ucup3ZRXWEdlOLCD1xKVWPNtNeG75dJZUvvm0wPWfWntUZ7Xv6fnrrVgDULSnveAWoXFvjcTDPHdrjlx7/GLSEbxy9++ht8vsnN1KC1hglM2PHc4UElpy/A/OyTL/Kxf/g8J688h+OWvo7jl53N2y5/H/fd/Wcc2xlod2SY4I19CQwIcdhzXZf7f/8w77jyAzz8p0dHnCyZzea48477uPrCd7Nx/dSULxIC+j6fm6V/JjWtI/I2uBBCCCEOI0fqp5UvAHuVUt9XSr1DKXW6UuoYpdQZSql/UEr9Ffh6X9sc8B6t9ZA7VFrrDuCf+r5dCDyulLpOKXWiUuoS4I/AxX3bb9FaPzjSQLTWfwJu7fv2EuCPSqlL+vZzHfAYsKBv+z9prUfLT/gfwKa+r/9dKfU9pdRZSqlTlVKfBv5AfmJAGvjIeCdICCGEEIcnpaFn60a0bVO2fA2RBYuxwoes+FYKf0UV8WWriDYtJtPaTGrfbpRhTntqbp/P4q477iupb08iyYP3/62kQGIhlDJQpkmgqiafInzFUcSWrCS+bDXla44humAJ2vPo2baJ1P49Q/pm2luxgiGsSKzo4waq6qbkeTAMA9Nncu2//x3LTxq7vn0oHuaKT76Jda87BmMCN0cnyhcoPdjrCwdQhkJrD601TrKHbEcrmfYWcp0deK6TD+RP4rl2HZfjzzuxpL6Ljl5MeV3FpI1lMlk+i7t/XdrrdPOGbWzdvGNSx6OUmlBA+NDSFbbt0NbSwRvPexfvuvrD3H/vw2Qy+Qkjju3wwjMv85mPfJmzT76CJ/727JS958w2yjAKyjYycmdVVMYXIcTsY9s2zz75Ip/+8P8rKBDf3ZXgH97xSVpb2qckE5IQANVNNSX3rZxXNX4jIYQQQogZZM30AGZQJfDuvn+j2QO8S2t9/0gbtdbfU0rNAz4HLAVuGKHZPcC7xhnLu8inv78AOKvv32Ae8P+01t8fbQda6x6l1IV9x1sOvKfv32AJ4K1a6+fGGY8QQgghDkNaa8xwGCeVJLFtI/7ySoJVtcSXrcKzc/lUxUph+HwowyDX3UVq/wac3nxafCMUZsIrK0vQcqD0GtPN+1twXQ9zAvXjx9OfJtwMBjEJ5gO9jkP3hhdHrdnsplPYPQkiTYtIbNmAdgpLrR2oqsUfL5u0sR/KNE1UQHH1599Kx752nrjzUTY+up5UTxrLZ1KzoJbjzz+Jta9Zl69tPkMr7Ps1LJtHorX4NOiBSJDlJywHrcm0NZPtaMXLHfJc7VX4yyoI1tRjBkOTki7UtEzWnLGWP/7w3qJTsJ508am4jjtra622NLeX3PfAvhaWLl80eYMBrFAEp5SSHkphBUID3zqOQ1tLO9dc+ve0t3aM2bWzo5sPXPdP/Pf3v8Tprz0Zy5rbf05rrQlUVpNp2V90X3+8fKCOrhDi8OTz+fivL393oJ59Ibo6u/nuN27iC1/7xBSOTBzJquZXM39lE3s37i6673HnnjirP2sJIYQQQsztuwyjOxe4EDgdWAbUAVXkV6G3AM8BdwO3aa1HL3gIaK3/RSl1H/B+4NV9++oCngdu1FrfMt5gtNZp4EKl1DXk684fA5QDzeTT8v+v1vrRAvazRSl1XN9Y3tT3s/mB3eSD+d/UWu8cbz9CCCGEOHz5K2rItrWA1uQ628l1tmOGIviisfzqUq3xHJtcd9eQQLIZDOGPxqYs3fyYJhArnam6jOnmfaMG7Psld20lvnQV8aUr6dmxGS87dqr3YE094YbGyRzmiPoD8RUNlZzz7gs47+8vGrJ9ttzM9FyPky46hY2Pri+qn2GZvP0r12EYisTWDaPXL9eaXFcHue5OIk2L8ZdVTMr1pDVc8P5LuP3fbkV7ha3iX3HqKlacsmpC9cOn2kTOzWS/TrX2CFTX4OwqPmjvL6+EQcFky7L4wLs+NW7Avp/juHzifV/g3r/eSlVNZdHHn2pa60k730opgtW1ZFoOAMVdm4Hq0stECCFmnud5bFq/lZdf2FB039/f+QD/9C8fJBINT8HIxJHOdVxOvOjkooP2wUiQo848elZ8xhVCCCGEGM0ROfVda71Ra/11rfWVWutjtNb1Wmuf1jqutV6mtX6j1vqm8QL2g/b3N631W7XWC7TWAa11ndb6nEIC9ofs5+a+fnV9+1nQt99xA/aD9tGrtf53rfVJWusKrXVEa71Ka/2PErAXQggh5jbP9fCFQljRoSnZ3XQvmdYDpA/sJd28j2x767CV34HKGhzbmZGV1fMb60vuO6+pYUK1LUuhlCpoha92XRLbNqJdh7IVa4kuWDIsXb4yTQLVtZStXEeofv5UDXlESqkRU9/PlpuZhmmw6OglVDVWF9XvlEtPo3ZhLT3bN40esB9Ma3p3bcNOJiZc6157Hk6yi+UnreCSj1yOUcC5XHHKKq745FVkuzpm1cpkrTXa8/LlBTyPn97xv1z6pvMJBIpPeT6/qWFSx6aUgb+sElXCSvfgoGCy67o8+eizbN6wrah9ZDJZbvnJr2dFffv+Eg/ac8klusl1d5BLdOHZ9sD2iVCmRbC2uPdof1kFvkhsxiZVCSEmx+0331VSv0wmy92//gN2rrAsQ0IUw7RM1r56HQuPWlRUv9dff96MZ5ASQgghhBiPfFoRQgghhJgjTMvEydmEGhagzMKDWb5YnEBlNZbPQhnTG2RxbIfLr76gpL6V1RW85nWnzsgNOF1grVbtOCS2bqR39w4Mn5/40pWUrz2WslXrKF99NOVrjiXc0ITh90uAawSu43L5J95UcG17ZShe9cYzyHW0FhawHyS1d9dAKYRSKcMg03KA3l1bWfPqo3j3N/+eY885HmuE8TeuauKyj7+RN33mzTiJTlK7t+MUOeap0H9tu5kU6Zb9pPbtId28jyWNNXzxa5/gz0//mg994t1YvsLeY446ZhULF09FBglNdMESiknVkS+FEB54rRmGwc033VHS0X91690z/prVWuNmM6T27qTz5edJ7thM767tJHdsoWv98/Ts2DJQ/qRUSinC9fMJVtcV1N4XLyeyYMmEJwsIIWaWYRjs23Og5P77dh8oMj+HEEVQcPXn30rTmgUFtFW8/vrzOOb1x404WVUIIYQQYjY5UtPjCyGEEELMSabPIp3OEVm0nNSureOmcPfFy4k0Lqa7tYtYVdm0r7K2fBavff3p1NXX0Hygtai+V1x9YT6duNYwzcGzolZE96dh7+rADIYIz1+IFY7MeMDvcGBaJrULa3nrl67l1i/+jEwyPWb7c959AaFomK49W4s+lpfLkuvpxheNT+i58XI53Eya5NYNxGrqueB9F/OG689j27NbySTTWH6L+iUN1CysI5dM0rtnJ7mu9oEx6GBoSq+N/mCqUmpIKnXteSjDIJfoJNPaPOKkB2VZBCpruPa9V3P08Wv44PWfIZ0a+zl58zsux7ZtfL7CJl4USikDKxIjumgZyZ1bYZwsCSOVn1BK8ciDT5R0/LaWDrZs3M7KNctK6j9RWmuyHW2k9o6eTM1OdGEnughU1RKe1zSh6yo8rwkrEiXT1oLT2zNsuxkMEaiqJVCZz4wh729CHP4mMvnGm2DmGiHGYhgGVsDH2758HU/e/ThP3/MEnfuHlrlRhmLZCSs47YrTaVyzQH4vCSGEEOKwIEF7IYQQQog5RHsaw2fS291LfNlq7K4Osh2tuNnMkHa+WBn+ihoC5eXsfGlH0SkmJ5Nr23zk0+/l0x/+UsF96hpqeMe7rwI7B2ZoCkc3nNYaXzSOmxk7WDkSN5PGlFX1RTFMk4Zl8/jADz7C079/imd//yRdzV0Ht1smq1+1hpMuPpX5Kxuxkz14uWxJx8q2t+KPlU3KuN1shtSeHaT37yFQWc2StQ2gDECjHZvuLetxU72TcqxCaO2hlIGT6iXb3kIu0QWeB0oRrJ1HuK6B1L7dZNqaR9+H45Bp2Y/d081xJ6zl6//3RT5w3adxXXfE9mvWreT8S1+Pr8BV+cVSSuGLxSlfvY5MWwvZjrahpT+Ugb+8gmB1HWZw+PuE67hkMqVdKwCJ7uHB6+mgtSbX2TFmwH6wbHsLKEVkXtOEjuuLl+Evq8DNZrB7utGuizLykyescKTvGpP3NiHmAs/TVNdWldx/In2FKIRhGGDASRedwqmXvYodL2xj/9b9uDmHYDTIylNXE6uK47mupMUXQgghxGFDgvZCCCGEEHOIYRr4/D68cJCn7nmSlaeupnzlUeSSvWg3X3/ZCATwBYPseH4bnY9v5dhzjp/RMefamjn/krNpa+3g61/+7rgru2rrqvnBz79OyGfiZNIjBuOmWqC6dszg5mh8sTIMX/E1wY90pmViRkOcetmreNWVZ9B5oINcOodpmcSqYgTCwfx1ozVutvjJFP28Qya3lMLw+4dM6NCuQ6a1sBTDU1UmQXse2nVJ7NiImx46UUCZJqGaOtLN+wu+pt10itSubZx6+olc9qbzuePWu4e1Wb5yCf/30//AmOKSG0oplOUjVDePUN083Ex6IJhsBoLQd6N+pPNqWiaWZeI4I086GE8oPP3vPQBoj959hQXs+2XbmglUVGFOIJNDf/kIwx8gUFkzeMOQ7UKIw5/WHpdceS6//eW9Rfe1LJOLLz8Hv39yM6wIMZL+LGELjlpE4+p8unxFPvsY5Cd/CiGEEEIcLiRoL4QQQggxx5iWSTAa4uRLTmPbs1t57v5n8AcDBCNBPNcl05tFa81Rr1nHomOWzOhYtdYowyC1Zwdvf9cbWbJ0AT/49s947qmXhrUNBgOcf+nZfOBj1xOPhkjv2kpsycrpT42vFKY/gC9Wht3TXVTfYE3dkJTkojimZaK1prJh6Ao+rTWGYeTrsU8gne9E63Brz8NfUUV6/56i+xqBIFYoMqHjjzgm3Rew37J+xHIZgcoatOeRbtlX1H7ddC+57g6uue6KIUH7svI4l111Pv/w0evw+/2Y03SzvP81ZYXCRfVbs24lLzz7StHHCwYDLF5aQC3dSaY9j2xHWz5LQpEybc1EGhdNeAxKqWl/3xVCTC/TNDnptONYtHQBO7buKqrvmW84nYqq8qkZmBCjMAxDVtQLIYQQ4rAnQXshhBBCiDnIMPM3rRYfs5ilxy/DztpkkmkM0yAUCwEKNcUrYAuhtcZfWU1i40t4ts1JJ63l1Xd8m62btnPPnQ/Q1dGN5bNYuLiJS994HsFQgFx3B6kdmzBDYcxAYMbGHWlanA+EFpiKPVjbgBWJDQnYu04+ZWemN4NrOwQiQXwBH67jDqwcEgxMdPDsHJn2VuzuTjzXRRkKMxgmUFWDLxoH8sHvUhnWxP48UoZBoLKG9IG9RU8eCFbVDNSVn0xKGfTs3DhiwB4gUFlNtrOtpMkOuc42lq9azYf/6T20t3aw+qgVnHfJ61DKwDSNWT85xbYdrn7HZSUF7c+75GxC4dKvtVIpwyDT3lpS31xXJ5F5C0BWHQohCmDbDu//x+v4xPu/WHCfQMDPez/0TjzPm7ZJW0IIIYQQQswVaqKrSYQYTCnVCOwG2L17N42NjTM8IiGEEEIcDnp2bMFOdAFghiL51MvBEKblQ2sPz7bxkt35mtV9af4jC5biaB/BWGhGAtxaa7Tr0LN9M246NUZLRah+HqHahoN9PU1vdy9P/e5xnvvD0yQ7kwPbFh29hJMuPoUVJ6/K3/Q+woP3/Wnve/fsINfVMWo7w+8n0rgYKxKlZ9smnN7i642HG5oIVNdMKM231pp08z4yLfsL7mMEApQtXzvpAXutNW46RWLL+hG3m+EIZctW073xJdwSSwOUrTwK5fPjOi4o8PkOr3TItm1z9klX0tVZXNaMX977I5avWjLtq/q01nS++HTJ/ePL1xSdjUAIceTyPI8b/+8Wvvm174/b1uf38Z/f+QKvPus0rCP8s4sQQgghhJj79uzZQ1NTU/+3TVrr4tMuHkJW2gshhBBCiBm17bktLFi9ADeTxstlcdO9pPb2jtknUFVLoLyCbX97meUnrZymkQ6llALTomz5Guxkgkxby8DEAwBl+QhW1RCoqkGZQz92P/qbR/jzj+/Pp3M/xI4XtrHjhW1UNVbzli++g1hl7IgN3PcH7BNbh9diP5SXy9GzfRPRhUuJLlpGYtPLo64uH5EyCFRWT7gut1KKcP18tGPn05iPw/D7iS1emS/AOgUybS2jH7vvunRzRZynQ7i5LP5AEMN/eKakVUrx1W99lvdf+ylct7Da9n/3/rexYtXSmclWMtESDrr4tPpCiCOXYRhc9/dvoWnhPL7z3zeybfPOEdsdd+I6/vGf/4G1R6+SgL0QQgghhBAlkqC9EEIIIYSYUX+99SHOfc8FVC1aQe/ureOsWodgTT3hhkb+9OM/Eq8pm9EU3AN1tCMxYtF43+p7F6UUyjSH1a/Xnuavtz3EQz//07j7bt/Txo0f+z7X//d7iZRHj8jAvVKK5O7t4wbsB2hNcuc2ylauJVjbQGrvyMGFkQSramASV01HGhdhhsJkWptHLqGgDAIVlYTqG1GmOSXXsVIKu2eMFeQDx5xAIPgwz9xmWRannH4C//39/8cn3/9FMpmxy128+wNv44OfePc0jW44ZRj5563E826YcgtACFEcwzA465xXc86FZ/HMEy9w5x2/p62lA8M0mN9Yz5vedilLli3Eth0J2AshhBBCCDEB8he7EEIIIYSYMZ7nUbOwlp985kbe9M9vYdG6NWS7u8h1tmInDgYblWkRqKzGV16FFQhy3/d/x5N3Pc67v/m+aU9PfSjHcbAsi+YDbWx8ZfNAmvB4PMYxx68FpbAsE8/12Ld5b0EB+369XUnu+OptXPefMxcknEmenRszJf6ItEemrYVw/XxSB/ZAAaunffFyQg2Nkx44D1RWE6yqxe5JkEt0ol0XlIEVChGoqB6YJDCVE0+0N/rPr518qQnD8hWXlWAQw+cvqd9sYpomZ5x5Cvf+9VZu+cmvueOWu2lvPXjdBYMBzrvkbN563ZWsWLV0Bkeazz7hi5UNyepRKMMfwAwEJ39Qs1B/lg4AlJrRyV1CzAU+X/724TEnrOXYE48a+OzlOu5A1pH+NkIIIYQQQojSyCdqIYQQQggxYxSKky4+lafveZKff/Ymlp+8kpMuPIXFxy7Hc1xc20YZCtPnx87mePb+Z3n6nido39NGw/J51C2pn9Hxe67Hc0+9xA+//TMe/ctT+UDRIOUVZVx21fm890PvIBwJ88RvHy36GHs37qZ5+wFqFtbO+ASFifBcF1AYpoH2NJ7njZk9QGs9Zmr3seQ62wjXz6ds2WqSO7fiZtIjNzQMglW1hOrnl3Sc8fSn2reiMaxolIEc+FpPev36scag9ciBeyfdi+c4+CuqyLTsL3rfRiA4Z+qjW5ZFVU0lf//hd/IPH7mWzRu3k+hKEI6EWbx0AaFwPtg9IynxDxGsrispaB+oqkFrb8IlIGaz/vdgO9GNZ2dBg/L58MfLBzJLSABfiNKZ5tDf20diFiAhhBBCCCGmigTthRBCCCHmuP4gRn+g4tDvZ5IyFNWNNSxYu5BdL+9k02Mb2PTYBirnVdG0ZgHBaAjXcentTLLl6c3YmYOrgU+88FRcx52xG8ae53Hbz37LV7/wLbwRatMDdHV2c9P3bqVhXh2XXnEuGx5bX9KxnrjzUS764KUTGe6M6X+OdrywnQ1/e4VUIoXlt6hZWMfx555IMBpEexrDHBpIVEqRS3SWdEztutjJHnyxOGUr1mL3Jsm2t+BmM/mAuWnhL6sgUFk9Latw8/tXgx+Y0uMNZobDOMmekTdqTbazjUBlTUlB+2BVDdrzpm0CwnSwrPyfyKvWLJvhkYxMKYUvGsMMhcctJTKkn2kSrKyZcMB+pN8fs+F3itYe2vXItDWT7WgdyCLRL2Wa+CuqCNXUg2XN6YkLQgghhBBCCCEOTxK0F0IIIYSYo7T2gHxN61xXB57joBQY/iDBqlrMYHBWrLp0HZdLPnIFP/rY90gn8kGojn3tdOxrH7XPytNWc/TrjpmxIJHjONx/78P82798c9jq+pFUVlew88UdeM74qdpHsvPFHYdtYPS5PzzNY79+hM4DwwPwD//8T6x61Rpef/15hOPhYRMwdInnC0C79sDXVjiCFV58SKBx5q/9qaa1JlhVS3K0oD2QbW8lVFNPoLKGbEdrwfs2/H4CldWH7XV5ONNaE1u0nMSWV/Bse/wOyiC2aDlMIEuA1hqlFF4uS6atBTuZQLsuyjCwwlGC1bVY4ciMTOLQ2sPL5ejZtmnUMg/adcm2tZDr7CC2eBlmKDznX/9CCCGEEEIIIQ4vErQXQgghhJijsh1tZFoOjBDESJBtb8GKRAnPW4AZDM3oCknTMolVx3nnV6/n55/7MT3tiTHbr3n1UVz6j1dO0+hGppTBf33pOwUF7AGi0TC5TGk1wwFy6WzJfWfSPd+5i2fufXLU7a7j8vLDL7LzpR28/SvvoryufGjg3lBQatx+UEBupOv7SAjYKaXwxctRPh96lOCul8uSbt5PeH4TnpPDTnSPv1+fj9jilUPOsZg+SikwTeLL1pDcuRUnlRy1reEPEF24dELv81prtOuS3LUNOzn0/VkDuVyWXFc7ZihMdMESDH9g2n6n9I8tsW3jqNf4kPauQ8/2zcSXrZ7WcQohhBBCCCGEEOORuyxCCCGEEHNQ777dpPbuGnXVIYDTmySxZQNOsqfg4PNUMS2TioZK3vd/H+Lcv7+Q6gU1Q7Yrw2Dlaat5+1eu44pPXoVhGjO6yv6h+x+h+UDhq5J7e9P4gv6Sj+kPld53Jniex19/8dCYAfvBkh093Py5m7CzQ4NuViBU8hjMwMxORpk9NNGmJWOm5E837yXb0U504TJCdfNQ5mhzuxW+sgrKlq3B8Pvk/M4gZRgoyyS+bBXx5WsIVFZj+Pwow0RZPnzxcmKLV1C+ah1mMDjBgL1DYssrwwL2h3LTKRJb1uNm0n2ZXqZH+sDeggL2/bTrktq3W65fIYQQQgghhBCziqy0F0IIIYSYQ7TWZNtbyLY1F9jBo2fnFsqWr5nxVYemZWJaJsefeyInXXgKHfvaSXX3YlgmFfUVBKMhtDfztZMty+L2W+4qqs/O7bs55c3HYpgGnlt8MKtpzcKB9NSHAzfn8MjtfymqT3drN0//7glOveJ0TMtEa42vomrcQOFIrHAUKxTCdV1M0xy/wxymlIEViRJdtIzkzq3gjXz9pfbuxMtlCdU1EKxtINfVgZ3oQrsuGAZWKEygqmYgoH+4XItzWX+2CDMYIjx/4bDn5GCt+dLn6iulSGzfjJcrLFOIdl16tm+mfNU6mI5LRHtkuzqK7mb3dOPZOQzf4TUhSgghhBBCCCHE3CUr7YUQQggh5ph0y/7iOnge6ZYDUzOYEvSnR6+cV0Xj6gXMWz6fUCyMUgrDnB0fX/fsKu4c/+rW3xGrjLP85JUlHe+ki0+d8WwIhXIdl+fufxa7hHIAz/z+SYy+ethKKQJlFSifr+j9+CqrSXQlJLDcRymFLxqnfNW6/Ep6y3doA/zllfjLyvMrtZXCX15BZMESYktWEFu0jGBtPYaVX11/JJ5XrTXa8/L/ZtlrcbTnZKLPk9YaO9mDm04V18+xyXa0oUeZIDJZtOeR7WwfdSLKeDLtrdOaEUAIIYQQQgghhBiLrLQXQgghhJgjtOeRS3ShHafovrmuDiLzmuAIX5VcKM8trtD63t37eeTBJzjhwpPZ+Oj6ovrWL21g3vL5RfWZSaZl8sKfni2pb3drN7te3sHCdYsB6EkkCTU0kdq1reB9+GJlBMor6drfSrw8XtI45iKlFMryEazNr6R3M2m064BhYAaCKMM8pL0x5vdHinxQV2EnE3jZLGiN8vnwx8sHSg7M5UkMmUKzthwi29FKsLp2kkcznJvJlN43mzlir2shhBBCCCGEELOP/IUqhBBCCDFHKMMg19leWmftkevunPKVkXNFdU1V0X1u/N4tLFq3mNOuPKPgPqFYiCs/dTWuU9wkgZnW095Tct/u1m4818O2HV54bj1GKEqocfGYNdn7+WJlhBoX8fADj9Iwv67kMcyEQ1dva62nZEV3/6psKxTGF43jC0cxTOuIXUE/mnwtd5dMywG6N7xIcvtmUvt2kdq/m95d2+h85TlS+3bh2blZt/J+MtmJ7pL6uZk0bi47yaM5hFIwkXM/h583IYQQQgghhBCHHwnaCyGEEELMIZ5jz0jfI4ltO5x/6dlF93vqsef41r//gLOvPYdXv/nMcYPQZTVlvPPf3028umygZMDhYiKhX6XyO/D5LE49/QQ++YF/RQdCRJasJFBZA8bwP2GscITw/EVEFi7lnt8+QEd7F7ZdfMaJ6dYf7PXsHOkDe+ne9DJd65+na8OLJHdtw+lN9rWbG5Np+iciaK3xXAfPsQfSzc+mwLfWHtqx6d6ynnTzPjx7hFIPnke2vZXuTS/j9PbMqvFPGs8DSv+5tDvFr0GtUVbpyQMNy5qbz5sQQgghhBBCiMOSpMcXQgghhJhTJhQunbRRzGU+n8WlbzyPb3z1e/Qmi6v1nMvZeK7Ha645i2NefxxP3PUYL9z/LJnegyme569s5IQLT2Htq48COOwC9gDxmnJ6OkpbbV9eVzFQ1x6lOPv8V/Pmi97D9e97Kxdc+noCtfNwUz3guaAMtOUnGIuxecNWfvyVH7B9y05uuv1/8flm9586WmvQmuSubeS6O4dt93JZ7O5OjECQaNMizFDksF8J79k5sm0tZDvb0AMlJhS+eBnB6jp80Rha65n/OT1NYtvGfDr8cdt69GzfQnzZqr4yA3NoXvxEn4epTj2vFIHySjIt+0vq7i+rnOQBCSGEEEIIIYQQpZvdd7KEEEIIIURRTL8fN91bcl9RGJ/fxzv+7iq++42bCu4Ti0d553uuRhn5NORlteW8/rpzOfvac+jtSuLkHILREOF4GNdxD8tgPYDruBzz+uPYu3F30X0r6itoWrNw4HvLMrnosnPo7urh85/4Gv/5pe9w6ZvO4+jj1lJeHieTyXJgXwt3/uo+XnjmZdasW8n3f/5fGMbsDm7nA/Yeia0bcdNjT/zwshkSWzcSW7wcKxIbEtDuXyU85DHPm3WBY6016f17RqmPrrETXdiJLqxwlOiiZWCaMxa411qTbtlfWMB+oJNHau8u4stWTd3AZoAyDAyff+RMA+N2Vpi+qf2dopTCDIawwlGcVLKovoY/gC8Wn6KRCSGEEEIIIYQQxZOgvRBCCCHEHKG1JlBZPeKq3fEo08IXL5/8Qc1RpmnyDx+9jr17DnDn7b8ft304EuLbN32NqqqKgWCkUgpl5r+OV5cN3f9hGrCH/NiPft0xPHDjfWRTxdW0Pv78k4ZNWFCG4pprr2DVmmXc+L1b+NmPbsfzbhvSr2F+HR/6xLt5+7uvwjJNTHN2nz+lFD07t48bsB+gNckdWylbeRTK50NrD6UM3EyabHsLbjY7kCrcX14xsIJ4xles90nt3Um2o23cdk4qSc/WDcSXrUYbxoTH33+ehj42fKLDoQoZ66GcVBInk86vtp8l532itPYIVNWQPrC36L7+8soRS1lMNu15BOsaSG7fXFS/YG39iNeHOLKMltljVmT8EEIIIYQQQhxxJGgvhBBCCDFHKKXwxcow/AG8XHHB0kBldd9OpmBgc5TWmi/916dZtmIRP/7BbbS3dozY7qTTjuPTX/wwi5Y0Yc3ylO0T5boujuNiGAZnvPlMHrjhvoL7VjRUcsL5J484YcEwDI498Si+ferXaN7fyv2/f5hEVwJ/wM/K1Ut51WtPxnW9WZ8SH/LXjWfnsBNdxfXzXHKJTgKVNbjpNL17d44Y9LcTXaSs3QSr6wnV1s9o8Elrj1x3V1FBcDeboXfvTiJNiydwXJ2vOd/RSrajDTfXP6nBR6C8kkB1LaY/MOzc9I+31Frs2fYWwvMWlDzu2UYpIx+0b94HRdZ+D1bXTdGohlKGgS8aJ9TQSHr/noL6BKvrCFbWTPHI5h7HcfA8jWGogf9b1ux/zx2J1h6gsHu6yba1YKeS4HnQdz0Fq2rxxeIysUMIIYQQQggxrQ7Pv7CEEEIIIcQw2vPQnkd4XhPJHVsK7mf4/H0BFo1Ss3uF8mzSH+x72/Vv4u1/dxX33/swf/jdg3R1duP3+1i8dAFXv+NyFi5uxLGdOR+w9zyPe+98gH/7/Dc58/Wn8+X//gyprl4e/dVfx+1bXlfO2758LaZv9OuvPzhU11DDm956CZAPIpqmiWEYGLMsJfxYMm0tRfcx/H78ZRXYyUT+9T1GEFU7DukDe/ByGSKNiyYw0olRyiA7Ykr8seW6OwnPW4AqMSCYaWsmfWAfaG/I49qxybQ1k2lrxl9eSaRxEZpBq+51vhxBqdxsZs6tzlWGSbihkdS+wstdBKpqsELhgawGU00pRbC6DsPykTqwB23bI7czLUK1DQRrpmdCwVxh2w6mafDIQ0/w1GPP0ZtMEYmGOem04zjjzFNxXfewmDDVT2uNm06T3Ll1eOkHzxso12EEgsQWLcPwB+bc61oIIYQQQggxOx0+f1kJIYQQQogx9dex9kXjRBoX0btnx7h9DJ+f2OLlfavJ5KNhKfqDyWef+2rOveisgcdd1x0IJM/1gL3retxx81186bNfB+CuX91HWXmMT/7LB6ldXMejd/yVlh3Dg7e+oJ91Zx7NWe94Pf5QoOCyAH6/b1LHP52UUtgllLAI1c1HOw7JnVsLXvWc7WjD8AcI1tQXFXSybRufz0fLgVYSiSTBYIC6hhqUMjDNwtLWa61xMxmcVG/Bxx3UmWx7C8HahqLGrbUm3byPTMv+cdvmujrwbJvYkhVDVtxPKNDsTU+QeqocWjpAaw+7J0Gwug7teQWlyQ9UVhOet4Bcd+e0llxRSuEvr8RfXomdyGd38OxcPsOCz0+goiqfsl8UzPM8tIaf/OAX3Paz37J/79D38B9//xfMa6znqrddyjvf82aUYtZPnsoH7HtJbN00bFLPobxshsSW9cSXrsoH7mf5zyaEEEIIIYQ4/M3tu4dCCCGEEEcapch2thMor8AIBMi0HMDu6R7ezDDxV1QRqq3Hc11wHfD5Z2DAc8ehgfnZXld9sniux6b1W/jK578x5PGf3XA7+/Y289FPvZf3/M/72fnyDjY/vpF0TwrLb1GzsI5jXncspt9CoVDG3FzJqLVGexrDPBjw8YpMv65MC39ZBal9u/IpnIuQaT2Qz6RRQPDbsR1sx+E3v7iH2372W7Zu3jGwLRaPcumbzuet111Jw/y68YNzWuMkh7/3FMpO9hCqm1dw+/4AcyEB+35Obw+pfbsJz2saeMwwS/8TudTMADOtf9KCZ+fItLXgJBOYgSDRhUtJ7dtNrruTSONCrEiMbFszuUTXsIkjvmicQHUt/ng56eZ9pFsPULHm2IKuu8nSP9nAFy/HX1YxZFt+YtrcfI+ZClprXNflQ9d/hkceemLUdvv2HOAbX/0eTz32HN/84ZdRSs3u86w1Pdu3jBuwH2juuvRs30zZqnVTPDAhhBBCCCGEkKC9EEIIIcScopQiUFFFav8e/LEyYouX4+ay5Lo60Y4NSmEGgvjL8wGNbGcH9PWZ1Tfaxeyl4Mc/+AXeCMHkP933F/5031845fTjueptl3HshScSi0XI5XK0HGgnk8sRC87NySKe52EYBp37O3jizkfZ/MRGahfXc/Xn3opSimLWZAcqq9Hay79ei6Rdl1xXB/7yyjFXijqOw4ZXtvD+az9JZ8fwYHtPIsnPfvRLfn7D7Xzg49fz7g+8ffxjFznBYGhft6j2ShlkWotPxZ/tbCPcMB+UiTIM/OUVpPYXngp+MH95JdrzDqsVuVp7aNcjuXv7kAleZiiM9jy8XJZcLouXzRCsqSeyYAlhx8Hu7UG7LsowsMIRzEAQO9lDz47N2In8frxcFjMYmvafaaTfZVKXvDhKKT71oS+NGbAf7K8PPs5nPvJl/uPbX5jagU2A9jyyHW3oIidNeXaOXHcn/rJyuY6EEEIIIYQQU0qC9kIIIYQQc1C4oZHU/j307t9FsLIGXyyOMi3QGu3YpPbvxU52E65vxBcvl4C9KFmyp5c/3vPQmG0ef+QZHn/kmWGPv+sfruEDH79+oMTAXOE6Lk7O5lf//ku2Pr154HFf3wQFMxDCSSUL3p8vGsNOdBW8OvRQ2a4OApXVo263bYetm3dw/dUfJp0eu6a71pr/+Y8f4roe7/ng28decT+B4LUyCs9UobXGy2VxenuKP1BfIC9QWYMyDAyfH1+8bCDwXChl5bMhHE7vpVprtOuS2LIBL5cdsk0pY8ikCyfVS3LnVgyfn0BlNWYwhOEPoD0XO9FFsqMNN5s5ZP+lT9qYbFrrg9kBVP4/h9NzNZ0812PD+i388Z4Hi+p3391/5vr3vZUVq5fOyjT5yjDItreU1Dfb3kJAyisIIYQQQgghptjs+0tKCCGEEEJMSH962nBDI/Glq9Fa07tnBz1bN9CzfRPp5n34ojHKVhwlAXsxIZ7n8ciDT2Dn7JL6/+XPj825gL3nedhZmxs//oMhAXuAtt2tNG8/gH+MAPpIlGnhOcWtDh1MO2M/P5Zp8o/v/dy4AfvBvvP1G9i0fiueO0pgVil8kVgxwxw6pki08PryWudTtpfI7ukeWB2vtSZU01D0PoLVdSUff6YopejZsWVYwB7ymQ7UCCU+PDtHunkfyZ1b6dm+ieTOraT27xkWsAdQxsy/tvuvIc/Oke1sI9PeQrb94ASD2TSxYNZQcPMNt5fU9ec33jHJg5k8np0b8TothNObnFDmECGEEEIIIYQohATthRBCCCHmKKUUhmkSrKqlbPkaylcfTfmqdcSWrBgI1kvAXkyE53r09BS+YvxQPYnS+85WhmHw6//4JW27W0fc/uTdj+VXZBdTO11rJvRKHeN17jgOjzz8BHt27St6tz+74XZGG5hSKp82PRQuer8Awaqaot6ftFtcOv3R+iqlMMMRwo0LC+7vr6giVNtwWL2faq2xe3twU70jbndSvSil8MXKStq/EQhgBgJjHN/L103PZnDSKdxsJr/yv9CJGgWye7pJbNtI94YXSe3dRXr/HlL7dpHY9DKJLevJdXX1jWf8407XmGeaYzvcd/efS+r7+zsfwHFKfy1OpYm8R0DxJTumktYax3Gwc/asPd9CCCGEEEKI4s381HchhBBCCDGlRqqvfDgFl8TspQxFMDh6YG48wVBwEkcz87TWdOxrH7bCfrCXH3qRs687l9C8BaR2bytov57rYARKP1emf/TnyLIsbvnxr0ra7313/YlPffFDRKOREbdr7RGsqqV3z46i9uuLl2P4/AW19VwPz3EmVkf+kL5KKQIV1RimRWrfbjw7N2I3ZZgEa+oI1c1Da33Yva9m20ZPFe7lstg9CQJVtUNq3RcqWFmL1t6wGuD9Kfmz7S1kO9qGnFtlWgQqqwlU1WL4fBM+n6l9u8m0NY+63Un14qS2Yfd0E2laNGq7/Jgdsu2tZDpa0fbBzBXKsghUVBOsrkVZEx/zbNDZ2U02O/I1P55sNkd3Zzc1dcVlE5kWE0zZPxvq2Tu2g+Wz2LV9D08/8TzpVIZINMKrXnMitfU1OI6LZRVeWkQIIYQQQggxu0jQXgghhBBCCFES0zRZd9yakvuvOWrFYRnsHI32NE/c+diYbeysze1fuZVr/vUdhOcvJLV3FzD2Sl03myFYXYeyfOOmuh9JoKpmzPP83FMvFb1PyAfo1r+0mZNOPXbE7UoZBCqrsXu6yXV3FrRPw+cn0riooOtCe5oX/vQskfIoC1aUnp7eCoWHHU8phS9eTlm8HLsnQbajFS+XRWuNYfnwl1cSqKgayGJwuF3DSqlxSwpk2luILlyKGQgWlVZcmSaByuoRA/Z2TzfJndtghLT02nXItB4g03qA8LwFBIrMtjD4OOnmfWMG7AfLdbWjDEWkcdGI+7ITXSR3bYMRVtRrp3/MzUQaF+KvqDrsroVDTTRzwGxNPGD4/CjTQrvFlxox/P4Ry0VMtz//8RFuvvF2nn7ihSGPG4bBq886lbf/3Zs46dTjUMbhfQ0KIYQQQghxpJr5qcJCCCGEEEKIGXFoPedSUj0vXrqA405cV9Lx33LtFXhzqE6wYRpsfnLjuO12vridX375FsxoOdElK/FXVMEIqzitcIRI0+K+eumaQGXxq1cNfwBfND5mIDGdShe9337JccojaK2JLFiS/xnHYQZDxJetQpnGuIFPz/V4+S8vcvf/3Mlzf3iGQFk5xhgZBcYSqKod8fH+EiK+WIzYomWUrVhL+cqjiC9dSaCyCmWMP87ZSnvuuNFVO9GFm+olumg5yvIVtmNlEFu0HA4JGuYD9gmSO7aMGLA/VGrfLrIdrSUFkLVjk2nZX1SfbEcbTjo15HgDAfudWwuIRGt69+wg19l+2KfLLy+Pl7xa2/JZxMtjkzyiyVPKe2i+X+2w35fTyXM9PvuPX+Fj//D5YQF7AM/zeOiBv/F3b/ko3/7vG2ZghEIIIYQQQojJIEF7IYQQQgghjjBaa7Tnke1op2f7Zrq3rCexdQOpvbsGVtTqAoPptu3w5ndeXvQYlq9cwjHHr8WcBasXJ1MmWVgAfMtTm7jhY99j89PbCDUsIL7yKCILlhCev5BI0yLiK9YSX7Yaf3lFX/DYIFRTX3RgOjxvwbhBxMgo6e0LES8bO0DXH/iONi0mvnzNiBMUrEiM6MKlxJev6UsxPv6fqZ7rcu937wat2fTERpIdCQJVNUWP3xeNY/oDYwbfRxrPbEiVPTGFTTbo2bEF0MSXrcIMjX2dGP5Avl04Mvz8aE3vrsLKQfRL7d2FZxeXWUJrTWaMtP9jGbYyX3skd28vah+9e3eWtJJ7NgkEA5x1zhkl9X3dOa8mECistMVMGG2CzpiUIlA1PHPEdPp/n/kv7rzjvoLafv9bP+FH3/n5nJoQJ4QQQgghxJHicL/TIIQQQggh5qD+oHJ+5bdXcABZjK1/JX26eR9drzxPau9O7J5u3FQvTm+SbEcriU0vk9iyHjebKWjFqM9ncd7Fr+MNF7y24HGEwiG+8s3PYtuHd3BrJJav8ApkrTtb+PV/3s63rvtP/nLrw9jaR6CiCn95FVYwBBwSHDYUsSUrCwzcKyJNi/HFxl5lr7Xm5FcdV/CYB4tEw6xdt7Lg9mYwRKRxERVrj6Vs1TrKVh5F+ZpjiS9diS9eNhDgH49jO7zw5+fJ9h6cYPLYbx4lUFmDFYkWPB5lWYQbF83oCtrpNPh9VBkG5WuOJdTQiOEfPciqXYfElg1oz6Ns+eq+iSRV+ZX3ykCZFr5YGdHFyylftQ4zGBz2HGrPI9vZll/dX6Rse0vRK9eznW1FHwcg19U5kAUgP6mpDYr93dM3aeBwXm3veR7XXHtlSX2vuW72Zk9RSmH4fIQaGovqF5m/EGVMzuQy55DfeeP9DvRcj1de2sQdt95d1HG+/fUb6O5KFD0+IYQQQgghxMySmvZCCCGEEGLW0NpDKQM3myHX1ZGv360UZiBIoKIajHwA83BNST0bJHduxR6nlrWT6iWxdQOxxcuxwtGCzvfXvvV5DONL3Hf3n8dsV1Ye59s3fpWlyxdiWXPvz5HaRfXseKG4FcW9Xb08cvtfOOGCk1DG6POqlTIwfBbx5avJtBwg29E24qpeX7ycUG0DZig8fpr5vgDdH+95qKgxA1x0+Tn4/AWmTWfQ61YpzEMmHhSzitXyWTxz75NDHnv8t3+jcXUTy09cQe/ubTjJsQNWhs9HbPEKDJ81B1bNj24geNwXhLaTCbTrogwDMxwhWFlDsLoOu7uT3j07RwysB6trsYIhcoluUBBpWjjsnNnJHrLdnfjj5With1x3yjDItreWNP5sRxuh+vmFd/A8tHPIa0IpfPFyzEAwX5fc8/K/Y7q7hqbq1x6ebWMGTJRhkJnImOvmldR3NjBNkxNOOYZTTj+exx95puB+p5x+AsefdPQUjmzilFKEaupBa9IH9o7bPjx/If6Kqgl95nBdF8Mw6Ozo5raf/obnn3mZdCpDOBrilFcdz5XXXEw4nJ+kZRz6/q/g5htuL/qYju3wi5/+luvf91Z8RUwkE0IIIYQQQswsdTjPABezj1KqEdgNsHv3bhobi5vFLoQQQogjV77mcTeZlv04qd7hDZSBv7yCcP18lDW3A21TQWtNev+e4Smgx6BMk7IVa/tSlo8dtOgP1D36l6e45aY7ePhPjw1Zcdkwv443XnMxV73tUsKR8JwMJLiOy6YnNnLHv91adN8lxy/jmi++o+D2/X/H5bo78fqyIhiWhb+8EmXmz20hgSbXdTFNkyvPvY7NGwqfbGCaJr+670YWLVswI5NovnL5F/GcoQFm0zK55KNXsOaMo8h2d5LraMXp7RnSxggECVbW5GtbKzXmJInJoLXO10NX059Sv//Yqf27yXa0j1pL3hcvJzJ/AZ7j0LNt05CJIMHqOkINjaT27syvPCefocAMBFGGifY8vFwWz84BYEXjxBYty5/bvutCex6dLxUe/D1U2cqjMAPBgtp6jkPXK8/1jdNHsKqGQGUNyrLwctmBCQuGP4D2PHKdbWTaW/Fy2fyxVqzFDIbQrkvny8+WPuZVR2OOkcFgtvNcj0wmw/Vv/igvv7Bh3PZrj17Fj37xDYKBAIY5+383a61xsxmybc1kOzuGvDaUYeKvqCJYXYsxTumM8Ti2Q29viv/3ma/zp/sexnGGT4oJBPxcdPk5/NMXP4TPsjCtg6v606k0rzn2ErLZXNHHrquv4Y+PFx/wF0IIIYQQQhRmz549NDU19X/bpLXeM9F9zr07ZUIIIYQQ4rCTr0PcTHr/GJ9vtUeusx27J0F8yQqMwPA0zGJ02vPItBdX61m7Lpm2ZkL140/E7H8uTjrtOE579Ym0t3WwfetuMukMVdUVrFyzDNf15mSwvp9pmaw8dRWxyhg9HT3jdxjkpItOxXXcIQGbsfSfb39ZOQyah11sENo0TQ5s38/Xv/uvvP2K99PV2V1Qv8/864eZv6CBzuYOKuurijrmRGmthwXsIT9p4tf/eTubn9jISRefwvyVK7FTaTw7H5DFMAnEYjg5O7/iegrHB/nU8nZP90Cg2ApH8wHhvowiU6k/YJ/YthF3pElQg9iJLhLpFLGlK4ktWkZi20bQGsMfINTQSHr/noGAPYB2HBwnOeK+nGSC5M6txBYvHzSWiaVLL6Y8Sv55VVjhCNFFy0Brsh2tZDvaBiYWQH7iQaCimkBVDYGqGpK7tmEnugcmvEy4ZEIJpQBmE8M0CAQC3HT7//CNf/s/fnv770n2DL+OorEIl77xPD766b/HtMzDImAP+fdPMxAkPH8h4YYmnEwa7Too08IKhaHv/XVCAXvHoauzm7df8X727t4/artsNscdt97NKy9t5MbbvkVABTD73p8O7GspKWAP0HyglUwmSzBYSDmVyeV53sCEMHR+clgxWVmEEEIIIYQ4Us3dO2ZCCCGEEOKwoLUm19UxdsB+cHvHJrF9E2XL16LmYHr1qZCvz9yaX/FbpGxHe1966sKCF1Zf0LmqupKq6soh24al/p2DtKe5+COXc+sXf4bnFhb4W/vadSw/aUVJdbCVMgp9akZ1+5dv4ZovXctPbv9f3v+uT7F75+hpowMBP//8pY9yyZXnccfXfsFx55ww7UF7pRSBSHCgpv0QWvPSQy/w0kMvULe4njVnHEW4PIJpGqSTabY/v40z33Y29UsapmRsWmucVC+Z1gPYiW6GzKgArHCUQFUtgYrKYWnkJ5NSip4dW8YN2Pfz7Bw92zdTtnwNgYoqsh1tBKtq8excUdk5AOyebuxkAisSQ01CNoNi64kHauoI183D7ukmuWv7iBkGtOOQaT1AprWZcOMCoguXkd6/B8Pn6zvmBMc8hZNCpkt/EP7jn3s/H/7Ue7nrjvt4+onnSSVThKNhTjzlWC6+8lwsy8QwjMNuEt3AeE0TXyQ6Jft/79s+PmbAfrD1L23mI+/5HN//+X8NPDZezfvxOLYD0xi0t20Hn89i2+Yd/Pb239PW2oFpGMxvauDKt1xEbX0NjuMOfE4QQgghhBBCDCV3OYUQQgghxIxLHSgug5S2bTKtBwjVzz/sAgUzQRkGua6OkvrmVwsn8MXK5FyPQ3sebjrJonWLufJTV/Pr/7wdJ2uP2eeo1x7NxR+5nGxXB4HyyjHbTpVkZ5KffuoGrvr8Ndz5p5/y4P2PcOtPfj2knvX8pgaufvulXH71hQQDAW778s1seXITx5174rSPV3ualaes4oU/PTdmu+btB2jefmDIY/GaMuoW1U/Z2DKtB8asle2kkjipJHaik8iCJVMSuNda42bS2D2FZU3o52Uz5Lo6CFTVku3swF9ZRablwPgdR5BpayEaiQH5iSVWOIqTGnl1/lgMnx+jyDTz4bp52H0r/senSe3ZiQJC9fMHsiAow8QMhXHTqeLH7A9g+A7f1PiDKaUwTRPTNLnsqvO58i0XYxgKz9O4jiOrp0dh2w5//sNf2byx8JIjAI/99Sleen49a45aiWEalFfESx6DZZmEI6GS+xfLcz2efPQZvvP1G3nh2VeGbf/et37CGWeewkc//V4WLmnCkkmXQgghhBBCDCOfkoUQQgghxIzRWmMnutD22IHNkWQ72vpWgItCaKf4c9zPc2zyK4bHDy56rothmvS0J2jd1YKdc4iWR2lYPg/t6YLTvx+OlGH0BTk1y45fxj985wM8cefjPP/As2SS6UENFUuPX8ZJF57MspNWkm45QPrAHqxwBNM//amM49VldOxr56aP/YBVp6/h+PNP4gc3/zfZTJZkTy/BYIBILEJXaxfP3v0kz/3haZKd+QBseW35tI9Xa81JF586btB+JMefeyKe52EWuXq7kDFl21vHDNgPluvuhN3biS5YMqnj6JctshRGv0x7K2XLVxNbsgLDtIakxS+GnehCey7KtNCeR6C6FmdX8UH7QGUNhb73QD7IrLWmd9f2oo7Tu2cXvlj5wEp77XkEq2rp3bOjuAEDgaqacUsg9JcvGDTwWT8pyuc7GKA3DIUhAftR+XwWt/z4VyX1/fmNd/Dlr38GgNr6GlYftYL1L20qej9nnfPqabumPM/jjlvv5suf/W+8UcpZeJ7Hw396lKcef47/ueHfOO7EdRK4F0IIIYQQ4hDyCVkIIYQQQswYpVTJQSHtOtiJLnzx8lkf7JgdSj9HCjVu//7U7luf2cqTdz/Gtme3DglKxSpjHHvOCZx40SkEI8E5G7x3+2oj92zbQHheE2df+wbOeufr2bN+F73dvfgDfuqW1BOvLsNOp0nu3k6us32g73QH7V3H5eizj+XBnz6A67i8/NCLvPzQi9QuqqN+aQOBcBAnZ9Pd2s3257YNqS9ev7SB6qaaaR0v5OttNyybx4K1C9n18s6C+wUjQU644KSpufY8j1SBJT765bo6sKtqscKRSX0PU0qRLTGzhpvuxcvlsMIRtOeh3dLTc3t2DsO0UIaBv6yClM9X3AQtZRCoqhkz+H0orT2yHW3oomvKazLtLYTq5g2k9PdXVJI6sAftFHEODINg5ehj1p6HMgycVC9OMjHwvRWJ4YvGxg32i8NDZ0cXTz/+fEl9/3jPQ3zpvz4NgG3bXP2Oy/jCJ/+96P289bor8xOUprhUg207PPrwk3zpn79eUImXVG+aD13/GW69+/s0LZiPYcr1LoQQQgghRD/5dCyEEEIIIWaUZ+dK75vLlVSnfaq4toPT989ziw0aTS0jECy5rxkIjhlU1J7Gc1zu+Oov+MW//oxtz2wZ9rz0dPTwl1sf5Lvv/SZ7N+3BnWXnZ7Jo7aFMi2jTYvzx8nw69O4OGhrjLFvXyILl1fhVlmxHK6bPR2TeAnyxsnxfzyuprv1EmJbJCecPD2S37GjmhQee48m7HuPZ+55m2zNbhgTsAU644GRcZ2aeR9d1edM/v4WKhsJKClgBH1d99hr8ocmfFKG1R6ajdcTa6aOOJxojunDpiAH7iV4D2vNglNWuhfAcu29ME7wWB3fXmtii5VBErfjowiVF14ZXyig5y0C2o3XYY7FFy6HgILoiunDpiD9j/3Oa7Wyne9PL9GzdQLp5X76cQvM+erZtpGvjS2Tb29BaT/v7gJhcHW1dJffNZXOkevOZWXw+Hxdd9gYa5tcVtY+jj1vD8ScfPeUBe8hnFfjm175f1DXbm0zxf9/88UTmEgohhBBCCDEnSdBeCCGEEEKICfDcfHCsp6OHp3//FI/c9jCP/eoRNj2xEc/1ZiyoOZjWHoHK6pL6GoEgViQ6diMFd3ztNjb8bXgd20NlejPc/Pmf0LqjeVacm8lm+gPEl65E+Xx0b3qZ5I7NpPbtonfPDnp3baV393ZSe3fRu2cnXetfINfdSXTRMnzxcgzLNyNZI4LREKdc9qqi+tQuqmPdWcfMWMYE0zTxhwK86+vvZcnxywAIxcM0rVnIspNWsOjoxZTXVQBQOa+Kd/zbu5i/qmlKxquUMWLAd8S2pklsyUriS1aiLB+9u7fT+fJzdLzwNJ0vPUti26Z8avmZDNz2XYPKMIsIWA9nDEp9rQwDMxgivnQVyjd2WnVlmEQXLccXKyv69aA9FzebKWm82nGGTCJTysAMhfOvZ2ucMZsmsSXL8UXjo445uWsbqb07cTPpEbd72QypfbtI7tyaH48E7qeN1npSJ01NdPX44P6GYfD9n3+disqygvouWDSf/73hq9Py+9V1XZ57+iU2b9xWdN8/3vMQyZ7eKRiVEEIIIYQQhy9Jjy+EEEIIIWaUYflwGTmIMR7l8w0EmGaC53ns27yXv93+FzY/uWnYSuRoRZRjzzmBV115BqbfmpZVbyNRqi89teUrurZ9cJz6zK7jsv6Rl9n0+IaC9+lkbX779V/x3m9/oKixzHZa6/xKW6VIbNkw/rnWHr17dqC1l69tPkPXslKK173zDfR2Jnn+gWfHbV85v4pr/vWdGEWsmp4KpmUSCPm55ovvIJvK4Av4hwXL0sk0oWgI13GnbIKB1hovmx23nTIt4ktXgmHQvfkV3HRq6H48FyeZIJlMYPh8RBaMvBJ/3OMYBqqE13o/w+fPj0dr/OUVA+UbimGFowP7GRiXUpiBIOWrjibX3Um2rQUndbDOvRkMEaiqJVBRVXKNd+1NQpaCQ8ccClG++mhyXR1k21twUgcDjWYoTKCqhkD52GNO7d1FrsCSBXaii97d2/PvCWLKaK1RSuFmszi9PQOlCnyxOIbPP7C9FLV11Vg+C8cuvrxEeUUZoVBo4HvLZzG/sZ5b7/4Bn/nIl3j6iRdG7GcYBq85+zS+/PXPEApNTwkapRS/ue2ekvrmsjnu/vUfedM1F+Pzjz0pRgghhBBCiCOFBO2FEEIIIcSM0Z6Hv7IKO5kouq8yTfwzWM/e8zyev/9Z7vn2XcMCPf2SnUn++ouH2PDoK7ztS9cRjocwZihwDxCe10TvrsJXxJmhMIEx6jNDPnD61N2PFz2W1l0t7F6/i/krGudUTVszEKR7y/qiAqapvbuwwlHMYGj8xlPo4o9cTsOK+Tzx20fp2Dc8UOsPBVh31jG87p2vxwr4ZsXzpvomDphKk96/i1yiG+25KGVghcIEqmvROohhTuX7RGGB4uiiZWAYBU3o8Gybnm0biS1ejhWJFfU+p7UmUFlNpmV/wX365TM+HLxNEKyuKyloH6iuGQiCDtb/vT9eTqC8sm+Fc/75UoYx4Zruhx5vMvr3j8dfXkGgomr4mEf4OftprfFy2YIzMfTLdXXg1NRhBsMz9jturrN7usm0NeMke4Zt88XKCNbUFf3a6xcOh3j9ea/h93f9qei+l111Pp7nYhgHX4eWz6Kmroobf/k/bNuyk5tvvIPnn3mZVG+aaCzMqWecyDXXXkldQw2u607bBEHDMDiwr7RyFADN+1rQEy3DIYQQQgghxBwiQXshhBBCCDFjlGHgL6skZe5Gu8WtSPNXVM/YymTXcdn85EZ+9793DqvdPpK2Xa38/HM38a7/es+MBe2VUvjLKtDzFpDat2vc9mYwRGzR8vzzoqxRA2ltu1vZs2F3SWN68q7HaPzEm0rqO1s5qV7cVPEpf7PtLYTnL5yCERXnuHNO4MQLTmb789vY9Ph6MskMvoCPuiUNHP26YzF9JqrEVdCTTWsP7br07NyG0zs08KbxsJMJ7GQCw+cnsmBJSavWC6GUka9jPkYdeV+sDF8kSvemlwuf0KE1yR1bKVu1DmUV9qd7f3rvYFVNSUH7YHXtwApjpRRWKIwvVobd013wPsxAEH9Z5Zjnuj/IrZRCmRZaa1zHRRkGqd4UWmvCkYOTWArN6qAMAzMcKek1aPj9w7IDDNm3GjrmQ3+W0WTamoseS75fC5HGRSX1FaPTWpPau2vMiRR2Tzd2TzfBmnrCDY1FH8PTHtdcd2XRQXulFNdce+WIQXer7z1g0ZImPv2vH8EcNGnKcVysvpX1M5XRpyRq4D8TorU++Flslvx+EkIIIYQQohQStBdCCCGEEDMuVDevoEByP2VahGrqpnBEYzMMgz/84N6CAvb9Wne28NTvnuDkS06b9jrgWmucVJJMazPRBUswgyEybQewE8MDcYbPR6CyhmB1HU66l3RLM/Ely0fcr+d67Nu0p+RxNW8/MOdurmfaS1t1mO3sIDyvCdTMBlz6r82FRy1iwdqFKEPlAyKexvTNnj8ftdZo1yWxef2QOuQj8excyavWCx2Lv2zsNPKBqlrsnsSo9cxH3bfnku1oJVhTN+4KdK01ua4OMm0txJetIlhTT6b1QMHH8sXK8EXjw/YZXbiUnm0bh6SFH43h9xNbsqLgY/bbu3s/P7/hdu684z56EvmU+cFggPMuOZu3veuNrFi9FM/zxg3ea88jWFVDbwlB+0BlTf49fZKvj1xnYWnxh/Xr6iAyf+GMloCZi1L7dxec+SDTegBlGARrG4p63zBNk2NPOIo3XHAmf7znwYL7vfVdb6R+Xu2YbUZ6DVjT/Jmin+d54453LPXzaksO2fdPUEJ75Lq78BwbBRiBIL5YGaAnlLVDCCGEEEKImTB77roIIYQQQogjklKKYHUtnp0rKMCkTJPY4uUoyzcjAV/Xcdn69GYSrYWvPO33zL1Pcurlp0/BqMaXbWvBTnSR2LqRcP08YouW4+ay2IkutOtCX71pX7wc7Thk2ppJt+wHrXGzGcxAcNg+tdbYueJr9vZzsqXV3J6tlFLYPcWXegBAe9i9SfyxsskdVIlcz8XnO1hn2NGlP89TQSlFz44t4wbsB2hNz44tlK9ah7Imv35ysLp21KC94fPji8VJ7txa0r6z7a0Ea+rHbKO1JtvWQmp/PutFat9uIvMX5IP+7eMHKK1onOjCpcPqeCul0EBsycp8sLOzfeSMAkrhj5cTnr8QZZoFvTdrrfE8zZc/+3Vuv/muYdszmSy/ue0efnPbPZz5htP5j29/Acsyx11J7C+rJLV/b1ElKjAMApXVY6a6L4V2XbTnlthZ4zk2pj8waeM5kmmt8bIZsm3FTaxKN+/Ll4nxFfe+obXmq9/6LNlMlof/9Oi47S+76gI+8bn3F3WMmaa15vKrL+RXt/6u6L7+gJ+LLj+npHr2+bITOTKt+8l2dQx7T1KWj0BlNcGaepRhzLnJgUIIIYQQYu6SoL0QQgghhJgVwg2NmIEg6db9eNnsiG188TLCDU0Y/sCM3YQ1LZNn7nuqpL6dBzrZ+eIOFq5bNK3jV0rhpFMAuOleerZvxvAHCFTVYIWjGKaZvwlu5+jdvZ1cd+eQLAJOqnfEc26YBsHI8GB+oQIT6DtblRygoy/Ad0jQdLq5jovrutz96z/w0AOP0pNIEgwGWLV2OW9+x2XU1tcMScU8E7TWuOneglZ+D+F5+QB4katmx5NPIx/BisSGpekHMEPhvgkdxU/0gXymAC+bwQyGRtyutcZJ9gwE7CFfbkGZJpH5C7HCUTJtLbjp4efL8AcIVtUSqK4d+FlG+vk0EJ63gHBDI9mONuxkAu3mA9xWOEKgqmYgZXyh51Ypxac+9EXuu/vP47Z98I+P8N63fowf3PJ1jDGCcMowcHM5YguXkti2CfToJQsG9SK6YEn+q0lPLT7Bet1FZHMR48sUGbAf6NfeQqhuXv51bNv4fD52bt9D8/4WlFLMb2pgXmM9tu3g8x18HZimybd+9BVu/clv+MVPf8P2LTuH7Xv1USt42/Vv4uIrzpnQzzYTTNPkmOPXsnzVEjZv2FZU33MuOJNINFz0MbXWOL099OzYMmpJEu3YZFr2k+vqILZkBYbPL4F7IYQQQghxWJCgvRBCCCGEmDX85ZUEKquxkz3kutrxHAelFEYgSLCqBsPnn/GgJkDn/tLSHQN07Gujac2C6U+Rf8jNbS+XJb2/sNT22vNGTButlGLpCcsxfRauXfxK7OUnrcR13Gk/F1NJGcawc11438JWKE8Fz/PQWvM///lDfvnzOwdSlPf764OPc8N3b+bVZ53KZ7/8USqrKweCUzOh9OBbPmg/2bTWRBctpWfLBtxsZsg2ZZr5yRwTCMB6rstorxKlFOnW4fXrMy37cTNpQnXzKFu+GifV2xdsdweC7b5YGVp74153A9uVSaAqXz6jXynvybbtcMctdxUUsO/3zJMv8K1//wEf+af3jvqeoT0Pp7cHXyxOfMkKenZuHXPFvTJNIguW4ItEyXa251PkTyJlmORrdpf23CtLbtlMGq3Jdo1ewmIs2Y5WQnXzsG2bu+64j1/89Desf2nzkDbHnbiOq99xGedceBZK5QPa/ans3/TWi7nm2it4+vHneebJF0j1polEw7zqtSez5qgV2CX8/pwtbNvhI//0Hj54/WfwCvzdF41F+PuPvLPol4X2PNxMmp7tWwqakOPlsvRs20h82RooMAOIEEIIIYQQM0n+AhRCCCGEELNGf1piKxLFikTzKzy1Bq0Hts2Gm66eW1pQdqJ9J8IwTdxi0kUPokxz1LrKgVCANWes5cU/P1/cPg3FiRedMqcC9gBWOIqd6Cqhp8IKF7/qcDL0pyn/4Ls+xSMPPTFqO8/zeOiBv/HSCxu48bZvMb+pYUYC90op7ERpq9a1Y+NmUlihyKSPCcMkvmw1yT07sLs7D270PJhgbeXRUrb3p4l2ksNX+APYiS7sRFffavhafLEylJGfRODlsti9yaKvu0PrRJfynuzzWdx84x1F9/vVrb/jgx//u1HfN5Rh4C+rILFlA9GFSylftY5cdyfZ9pYhmRnMYIhAVS2Bikq065HYtonYwmWT//tFKXxl5UOvhwL6+MsrCVbX5Z+rgdrdelJT9x9pPMcedWX2eLTjoF2XG757M9/+rxtGbPPsUy/y7FMvcvONd/CdH/874Uh4ICNJf6mRY088inXHraZ/IofVNyljJidATZTPZ3H6a0/hs1/+R770z18fN3AfjoT41o++wrz59RhmcdezMgxS+3YVmEEjz8vlyLTsJ9TQWNSxhBBCCCGEmAmH718GQgghhBBizjq0pvJoAeOZEimPlrzaPlIRHVh9N1201vjiZbitmbEbKoUvGsPw+UEptOvipHvzgb5RngON5tTLT+elh14saoX56letJVYZK+bHmPW01gSqakoK2vvKygfSi083pRT/7zP/OWbAfrD21g7e+7aP8es//nhGgk1a64mVIXBK7zsWpRTaMIgtXIpn58i0teRXtuu+VNnBEG4mXcKOjdHrmmtNrnv89yIn1YuT2j7scX9ZBb6FS4sf0wS4rsszT7zAjm27x298iJ5Ekrt/80cuvuKcgUDoMEoRqp9P96aX+4LfNcSXrUZ7HtrLZxlQhombSZPav5dcZzvheU1Ttqo9WF1bcNA+WNuQD9abBrnuLrLtrX1jNrGiUfxllX0/4uz6nXhYKDFg38+xbbq7Rp4cM9gLz77C373lo/zkjv8dVkbENE3MSS/BMPMM0+Dyqy+ksamB73zjRp576qVhbUzT5NWvO5UP/9N7WLioEavI3x1aa9xspviyKEC2s41Q/fxZ91lSCCGEEEKIQ0nQXgghhBBCiCK4jsva16xjz/pdRfcNRIIsP3Elypj+G8eBqjoyrc0jbjN8PgKVNZhllfiDQTLpDHbOJhwNY5omjuMw2jQDwzCoWVDLBe+7mN99+86CUoDXLa7nog9fhud5JU1gcJ2Dtd+VoaZ9EsRolFL4Y2UY/gBeLltU32BfTfGZ0NLcxm9/+fui+uzf28wdt9zFm995xbQH7gcm8pSabn4Kr5f+YKrh8xOqn09Y5Vd3as8jUFVLau/wmtbj8ZdXjjlm7ZSeWttzpz8tt+u6/O3hJ0vu/9hfnuLyqy4YdbtSCl8sTnThEpI7t5HrbMMMhTGDoYNZBrJZnFQSlCIyfyH+iqopCYQrpfBFYliRKE5vcsy2kQWL8ZdVkGk5QKa9Zdjzmu1oJWXuJlBVQ6iuAVASvC/CRCdlmD7fsLIho9nw8ma++42b+OAn3j0scD9XmabBiacey0/u+DZbN+/gztt/T3trB4ZpMr+pnivefBE1tVU4jlvyOcm2l1YWRbsuue5O/OWV8poRQgghhBCz2hEbtFdKnQhcAJwBrAFqABvYBzwC/Ehr/ddx9nEtcGOBh7xOa33TOPsLAx8A3gQsBQLAbuB3wLe01gXd4VFKLQQ+BFwINAFZYCtwG/BtrXWqwDELIYQQQohDmJbJsa8/jj/9+I/YmVxRfY9+3TFFp4OdDEopTL8fX7x82Cpwf3klofkL6Ukk+eUPf8ntN9/F/r354L5pmrzm7NO45torOeX040e92W6YBse+4Xj8IT/3fvduMsnRVxMvP2kll3/yTVg+s6hgu+d6KEOR7kmx6bENpJNpLJ9F3dIGFqxZiOu4syLVvtYe0YVLSWzdUPDKzmB1Hb7IzGQdcByHW276VcG1iAf75c/v5O1/d9UUjGp8ZjCEmy7hzxqlMAPByR/QiIcalDHEMAhUVJHev6foLAHjTuiYQBDq0FT300Epg2Sy+NWy/ZLJ3nEDb/nAfRnla44m295Ktr2VXOfBeubK8uVXtVfVoixrSgN5Wmtii5aT2Lph1EwL4fkL8cfL6dm+edRSBwDadci07MdJ9hBbsgKNrLovlGH5sMKRklZq+2JlmJbFc0+9WHCfX//iHj7w8euBmf+9NF36V88vXrqAD3z8ekwzX97Bcz18/nxmjFID9kop3Gxxk+EGc7MZ+tKelLwPIYQQQgghptoRGbRXSj0MvHqETX5ged+/a5VSPwHerbUu7m5saWNaBtzTd+zBVvb9+zul1Fu11nePs5+LgZ8B8UEPh4ET+/79nVLqQq31lkkbvBBCCCHEEcb0W5x8yak8ctvDBfcJhAOcevnpM7LKHvKBo2jTYhJb1udvXgP+iiqiTYv56Y9+yTe++j3s3NCa967r8uc//JU//+GvrD5qOd+56d+Jl8dHXFmtDMXq09ey8rTVvPzwizxz75O07mrFtR1C8TCrTlvNyZecRuW8qqJX2Huex4Ft+3n0V39l42Mb8A5Jb17VWM0J55/ECRecPOMr75UyMIMh4ktW0LN9C3qclczBmnrCM1hr17Is7r3zgZL67ti2m42vbGHlmmWTPKqxac8jWFVD754SVq3Hy1EzlZ5aKSJNi0ju3Fpwl2BNfX6F+GiBJpWfwFAqMxAcyFoxXbTWhEOljzkcDhfUTimFMi2CNXUEa+rx7NxAqnnD5x9oM9XyZRMU8WWr6N27m//P3n2HR1WlDxz/nnunpvcChN4RRGn2Liqigigo9rqurmXtu9a1/HTtu5a1i6iIBSyAir2hVBGU3nt6T6bde8/vj5CQQMrMpEwC5/M8PoaZ8945mUy97znv6y8uqFMlwhYdgys5lbLN6xtN2NdmVJZTvmU9sT36tta09ztSVlW7qK9NRFPsicksnPcbWzZtDzqmuKiEL2d/z+ixx3fonvXh0DStzvtwi7UECLe6SnNjO5C9FzC2lwWNiqIoiqIoSnAOrG8Oe3Ta/f+dwAfAT8BWqpZAHw7cAnQGLgbswOQgjnnK7uM1pMFvd0KIWKp201cn7F8BpgMe4HjgH1Ql4d8TQhwppfy9geMcArwHuIFy4BHgu93/Pg+4CugLzBFCDJdSBndGQFEURVEURalD0zSOu/BEinOKWPFD0zvv7E47E++eTExibMR2Rdb02+7dn/ItG8EyiercjVeee4tnH3+1yfhVf65j8lnXMH32y8TGxTa4417TNQ46dggHn3hIneuqd8oDISXVpSVZ9tVSPnthFrKB3eAF2/P58pXPWTVvBefdfxF2pz3iJfN1dzRx/Q4iUFyAtyAXq/YOQU3DmZCMPTEFe1QUpmlGtM9xXm5B04MakJOd1+ZJe6FpOBKSqdy1HWmGtmvdmZyGNAxEQ/3QW5EQAntcAtFZPajYvrnJJJIrNb3JBR1CaDjiE6ncuTXk+wLAGYG2DJomOGTkYN546d2w4g8+dCABf6Bm525TqqsJ6A5nWLfXEoTQkEiiu3QjulMW3sI8jPIypGXiTu+EUVmxTxWUpgTKSglUlGGLilG77YMghIYjIQlPzg4sf/D7MnSXG2d8ItPefCrk21zxxxpGn35cyHFK/ZrT4qC57RHaM8s00XSdssIylny2kOwNuwj4ArhiXPQZ0ZeDjju4aiFFBCo9KYqiKIqiKKHZfz+1Nm418E9ghpRy7zMb84UQb1FVIr8vcL4Q4kUpZVPbqNZKKTeHOZ/bdt8WwO1SysdrXferEOJ74Aeqdsw/AxzXwHH+Q1WC3gBGSyl/rXXdt0KIdcBju2/rFuD+MOerKIqiKIqiAONvPZfUrDQWfPorntL6S3V36Z/FqX8dS2rXtIjvdhJCgKYT17Mvht/PH0tXBpWwr7ZrRw53XP8gL7/zZKPj6vs9wzlZbJkmq39dxZznPw1ql9y2lVt574F3uPChS0O+rRYl4aG7nyImNprJl55Ner/BeMvLq5KqQmB3u5ESPv/0G+bO+Y5/PnAT6Zmp2CKUVNA1jUDTw+qPjcBiAykl0rKI7hLarnVncir2mFgCleVoEUjaQ9Vz0JGQhC06Bm9+Dv6igrrJdiFwxCfiSknDFhUT7EFxJqbgzc8JaS62mNhWSWRLy0JoGqbfD5YJmlZnZ7vNZuOYEw4nPTOVnF15IR3b7XYx4fyxQSfs25OaxLqu40pJQ6RmAFWP54rtm8M6pi8/F1vXIB8nCgCxPfpRumEV0mi8CgqAZncQ1bUXvy/+gx++/iXk2/J6vBGrrrO/kdLCEZ9IoKQorHhnQhIiwov5WoNpmFSWVPD5i7NZt3DtPosb1/y6iq9fm8uhp43guAtPBBHawklFURRFURSlbR2QSXsp5dgmrs8XQtwCzNp90TlA8LVPQyCEsFPVfx5gFbDPGVAp5S9CiNeAvwDHCiFGSCkX7XWckewp+f/aXgn7ak8ClwEDgBuFEA9LKcM9P6coiqIoinJAq07AHHHO0Rw+4ShW/PgHq+atoLKkEptdJzkrlRGnjyK1W1q7Kk9aPW/dbmfqqx+EHD//58Vs2bSdrt07t8nuzrkvfRZSWdutf27mj++XcdCxQyJyn1uWxX/+/TIfvPMpAG++/B5HHjeSQYP7ERsXg8/rJyc7j7mzv6O4qASAq9bfzIy5r0csaZ/VrTPr1mwMK7Zr97Yv7S+EoGzrRmK79w5617ozKZWoTl2pzN6BIz6hTebZECFEVTIwM4uojC4YngqkYSJ0Dd0VFVb5fld6Jv7SYix/cD2fhaYT1alri5bGr15M4Sus6iFfey7CZsOZlFrTQ96yJBMvPCukRUMAY846CZfb1SLzjaTq3f9VJP7iwrCO4y8tJlpaINrH+0t7J4RAc9iJ6z2Qim0bMSrKGxxrj4kjumsP8vKK+Nvl/8AMo5JFbFwMlnVglGVvbTVVRWx2pBHaaSx7bHzNwqH9iWmYlOSVMPXO1ygvbLiQprfCyy8f/kT2hl1MuvcCpGjbliiKoiiKoihK8A7IpH2Qvqv1c69WvJ3jgfjdP78ppay/5idMoSppDzAeWLTX9eNq/fxGfQeQUlpCiKlUlc1P2H3bX4Y8Y0VRFEVRFKVG9Q7yQccMZsgJQ2sutyyL6lOi7SVhX1txUSnffflTWLHvvPEhd9x3favusjYNk9W/rqSiuOGkSkMWz1mwT3n+tlJeVsE7b8yo+bdlWfz07Xx++nZ+gzHbt+7kw2mzOO+Ss9u893EgYDB+0hgee+C5kGMPGT6YrG6dmh7YwqSUaLpO+eb1xHTrha3PQLwFeVW71q26iTV7XAKu5DTssXFUZu/AV5iHO73t57y3moSJENijY5t/LE0jtmc/yjatqduKob7xuk5sjz7oTleLJuwD5aVVlQ/qaWMhDQNv7i68udlEde6KMymFy/86mfk/L2HRr0uDuo2efbpx273Xtch82xNpmOH325YSyzDQHe3vPaa9EkJDs9mI69Uf0+vBm5+LUVlVCUXoOraYWFzJ6ehOJ5ZpsnzZKspKQ38fAjjupCPRVUnyFuVOzaBy17aQYlxpmS26QKm9sAyTafdMaTRhX9vGpev57PlPOePG8a08M0VRFEVRFCVc6ttDw2rXCQx9SXXwjqr18w+NjFsMVNdcPbKR41QASxo5Tu3bqO84iqIoiqIoShj2TsxrmtZuS7FalsX8nxdjGOF9zF0w77dWL4uu23R++3xxWLG71u0kd0topcJbQiBg8ME7n+L3Bd8vudoH73za5gl7ALvdxtnnnY47jN3L510ynkCg6RLTrcGZkkagvJSS9SsJVJQTldmZhAFDiO3Rh+iuPYnp3pv4/kOI7d4bKSVlG9fizd2FMyk1IvNtbUJoaHYb8b0H4s7oXO+uUqHruFLSie87CN0d1aIJe6OijPJN6+tN2O81msodW/AV5qNpGi+8+W+OOn5Uk7cxaEh/pnzwHA6nQ5V2Vpqt+r1Zc7qI6tyV+L6DSBgwhPi+g4jKzEJzVD1/NF3n+JOOIjk1KeTb6NWnO4eMGByRFiL7KyEErtT0kF7Ho7t0xxYVvd8l7E3DZOlXv1GcUxxS3PJvf6esoLR1JqUoiqIoiqI0m/q227Bja/28Kojxbwghdgoh/EKIfCHEfCHEQ0KIzk3EDaz18+qGBkkpDWD97n8OqGdI9WXrd49tSO3bqO84iqIoiqIoyn5MSlnVA7XCE/YxKsoqWnBGDSvYkR92bN7WPGS4u1fDZLfbmD0zvEJWmzduY8XyBr8OtCqXy8W1N18WUsyhI4Yw+vTjsEWgioTYvTtdd0dh+XxU7thC8crlVGbvwAr4EYA0DfxF+RSv/oPyzesIlJeC0HAlp+53yZtqQmhVifnUdOL7Dya2R1+iOncjqlNXYrr1ImHAwbgzuyBs9r3KszeTlFU77An++Va5YyvSCOBwOHhhymO8Nv0ZTjz16DoJTiEEo44cxn9efZh3PvkfsXHRYbWQMHcvTvKUeSjJK6GytLLO5ZEmbDqE/ZgUaBFqq7E/EELs83qw72WS8y8JfWfyhVecSyCguhG2hugu3XBndGm0lYjmcBLTvTeOxOT98jVft+ks+WxhyHHSkiycNR8rjHYPiqIoiqIoSutT3+7qIarOYNxZ66L3gwg7rtbPybv/GwXcIoS4SUr5UgNx1U0gK6SUxU3cxjZgCJAqhHBKKX275+sCUnaP2d7YAaSURUKICiAayGri9vYhhGiqaWVGqMdUFEVRFEVR2oaUkkBpCRKJOyr8vtBR0e4WnFXDrGYk1SzDiEg53Nyc8Bca7NqRy8DB/dp0zqZpsnN7DpdcfR4lxWW8+vzbTcYMHjqA/7z6MOvXbKJX3x4RSdxLKYnt3puSdauQRgBpmfgKcmm4MLwgpmtPhM3ehrOMjOqEvC0mFpuMoapPx77JyZYgLQt/cQEy5ASQxJufizujao37oSOHMPywoZSXVZCfV4BlSpJTEklIiscwjLB215uGiWWY/P7NUn77bBF5W3NrrkvMSOSQU0dw6KnDcbgcNW1OIkPgiE/CX1wQcqQ9PgFacgGGsg+bzcaV113In8tW8/1X84KKOfu805lw/thWntmBzZWajis1DX9RIf7iQiwjAEKgOZw4k1JwxMYjpbVfJuwBcrfkULA9vM8bK35YzomXjm7hGSmKoiiKoigtQSXt6/d3YOTun2dKKRsrN78RmAn8SlVSHaAnMAE4B3ABLwohpJTy5XriqxsYBtMkrfaWphioOSdVuwlisMeJ3n2MUIXWPExRFEVRFEVpF2pKWG/dQFRGZw4ZfhBCiLB2ow85ZCCWZbV6meqo+OiaXbGhik6I6XBltIXW9skFIQTPP/Ua8Qlx3HHf9Qwc0o+3XnmfpYv/2GdsemYq50w+g4uvmsSiX5dy/x2P88XP0yFCu+2x2YjvM4CyzesxPQ0/ToRuI7prD+wxce0qgVOVUNKQlok0LdAEmm6ruby5hBDN2MEd5G1oGt6CvLBifYX5NUn76h32sXExxMbV/Zoazu56y7TYvmorHzz8Lt4K7z7XF2UX8e2UL/nx3e8Yd8sE+o0aEJHnXzVXSlpYSXtXclorzEapz9MvPcjDdz/NzOlzsBpoA2Gz27j4yoncdOdf2nh2B56q13KBIyEJZ1JKneuqP9e0aEWRdqY0P/wS9+VFwZw2VBRFURRFUSJBJe33IoQ4Fnh09z9zgb82Mvwj4E2575nORcB7QoixVCX07cDTQohPpZTZe42t3uIUTOPL2htHam9vqr1NKpTjtM0WKUVRFEVRFKVdqNi+BaTEV5hPZr+DOPzo4fzy46KQjzP5sgmhVMIOi2mYDDhyED9N/z7k2Kj4aLoN7tHykwpCZud0ykrDOyHeJSuzzZPKmqbxyw+LKC4qYfvWnVz798t4c8ZzrF21gR+//ZWyknJcbif9Bvbm2JOOoLiwhNdfmMarz7+NaZqs+GMNhwwf3KZzriaEBjY78X0GEqgox5efQ6CsFGmZIAQ2dzTOlFQc8Um7x7ePhH3V10eJv6gIb0EupmfP2mzN4cSZnIozKRWhae1mzg2RltXogolGY00Dy+9Dd4Zf9aM+pmGyffU2pt07tckS+IYvwIePvMeEOybS77ABEdlxL4TAFhWNPS6BQGlx0HG2mDjsMbFND1SarXoB2L2P3Mo1N13Ku1NmMnvml+TlFiCEIKNTGuMmnsaki8YRnxAX4dkeWEQ9i/Pa++tmS2jOa1V995miKIqiKIrSPqikfS1CiEFUJeJtgBc4V0qZ29B4KWVJY8eTUs4WQjwAPAhEAVcAD+81rHrZvyOIKTpr/Vy7CWntrQOhHCecRqZNldTPoGrRgqIoiqIoitJOSCkJlJdi+avWbpo+L96SYi64bELISfuBg/sxcHC/1phmHbpNZ/jpI5n3wY9YZv27Ghsy9ORDd5cEb1uBgMFZ55zK4w8+H3Jsn3496TewdyvMqmnlZVWLDH76dj4/fTufQUP6M+micRx9/GHExsXg9frYtSOHf9z4EF9/8SNGwKiJLS5q9CtRq6tOztiiorF17VlTPaL68vZWHllKien1ULZpHdLYt9+15ffh2bUdT/YOorO644hPalfz31s4lTrqxFst31dZSsmHj0wPvme9lHzy1AxunHIr7tioFp9PcFOQxHTtSdmmdRgVZU2Ot0VFE9u9V0RagBzo0tJTuO6Wy7nxjqvrXB4IGNjt6hSb0jaSMpPCjk1IT2i5iRygLMvCMEyQEk3TsKnnvqIoiqIoLUR9qthNCNED+BJIBEzgPCnljy1w6JeBB6g6bXgs+ybtq7+RB1OqPrrWz7W379T+Vh/KcULeAiSl3N7Y9eqEgaIoiqIoSvsjhMC3VwnrQGEeR59wOOdecCYfvPNpUMeJi4/lsefubbPkRFR8NENOHMrvX/4WdIwz2sWIMw6rKbfdlux2GxPOH8tzT7yGx7NvSe7GTLzoLAKBAHZ72/dcd7ldlJft2e29Yvlq7r3t0UYi9oiJiW56UBuo/T2k7s/tZ0ehlBam10vphtXQQHntWoOp2LoJssCR0H4T983dsSm0ln2emobJn98vwxNiWw3Db7Dks0UcPuEo9Ai1e5BAbM++eHJ24ivIQ5rGvuN0G86kFNzpnUCIdvu42N/V17JBJeyVtpSQnkjWwG5sW7kl5Niho4dhGmZEXus6uurPv0sX/cGqP9fi9fpISIznhNFHkZicgGVZEfn8qSiKoijK/kN9qwCEEJ2Ar4FOVBX6vFxK+UlLHFtKmSuEKABSgM71DNkOjAKihRAJUsriRg5Xvcs9T0pZUypfSundfRvJQJfG5iOESGRP0l71p1cURVEURTlAmN66RZYCZSVUZu/g7of+jsNh5503ZjQan56RyotvPUGnzhltuqPotL+eQXF2MZuXb2xyrN1pZ+Ldk4mKi8xuWahKgF9x3QU898RrQcf06deTcRPHRCRhDzBoSH8WzFsScpzdYafvgMhUB+iYBOWb1zedsK+lYvtmbNGx6I5gCqq1varS7jEYlaG3hBB2O5rD2fTAEOg2ncVzFoYV+9sXizjy3GNadD6hqE7Au9M74U7vhL+kEKO8DGlZCE3DFhWLIzERUMl6RTnQmYbJ8LEjQ07a25x2Dj1luErYh8g0TSxLMv3NmXzwzqds3lj3dOr/3fM0x550BJf+5XwOOngAegRarSiKoiiKsn844D9FCCFSgK+Anrsvul5KObWFb6axmoEra/3cv6FBQggb0Gv3P1c1cpzeu8c2pPZt1HccRVEURVEUZT8k60kUenN34cnZyR3338CMua8z4byxuN11+0v3G9ib+x69jdk/TqNbjy5tmrAXQiA0weQHLmL46SOxORtOamf0yuSSf19Bl/5ZET0ZrWkaV19/MZMvnRDU+O49s3jp7Sda5QSvYVTt1M3LyWfR/N/55cdFrF21AajaLVY95vxLxod1/JNOPYbYuPax0769k1ISKC3GCvhDDcRXkNvsMvStRVoWzpS0sGJdSak0/lU5dAFfgOwNu8KKLc0vpTQ/su0eYPfrnhA44hKJ6tyN6KweRHXuhiMhESE0lbBXFAXdpjPgiEFkDewWUtzRk47F7orMAsGOyjRNvB4fV553E48/+Pw+CXsAwzD55oufuGTC3/hw2qdYISzOUxRFURRFqe2A3mkvhIgH5gIDd190p5Qy9AaUjd9GKlW77AF21jPk51o/HwvMb+BQw9mzQ35eA8c5eveYYcCCBo5zbK2f6zuOoiiKoiiKEqaqxFp1Eqp97YbUbDbMenpoe/OyCZSXkZWWyt3/dzN33H892Ttz8Pn8JCTGk56Zht/nw+6wR+T30TQNKSWjrx7D8RefzNK5i1m7YDWeMg82h43UbmmMGHsYmb07tatyr3f+6wYGDunLmy+9x7o1+1YJiI2L4YyzT+Fvt16By+2st9xyuCyrqo/7vB8W8u6Umfz60+I6Sd+sbp2ZeOGZTJh8Bk6nk2NPOpJRRw1DILDZdUpLylm7cj1er6+RW4ELLj+n3SaT2xshBN6C3LBifYX5uDPqK9oWeULTcMQnUmmzI+t5fWk4UOBMTm3x9gUBX4iLIvbi8zT+mG9L+7QeaEfvJ4qitAMCzrvvAqbdO5UdaxrtZAnAYeOPjGg1kY5KSvjbZXewdPEfTY61LIuH736a2LgYRp9+PLZ28plUURRFUZSOQxyoJ1mEEFFU9bA/cvdFD0sp726F27kLeGj3P++RUj601/UOIBeIp2rn+yBZzx9FCPEi8Jfd/xwppVy01/Uj2ZOof0lKeU09x9CAP4EBQDGQJqUM4cxK04QQXdhddn/btm106dJotX5FURRFUZQOr+ajm7Twl5YgDQOEwOZyY4uOQUor4n21pZR4cnbizW18B6rQbTgSEtFsdtA0pGlieCqI7darxXtPh6r6frZMq05iXloSiUSI9tW/HKjpUb/stxV8+8VPlJSU4nQ56TewN6ePOxmbTUfTWnbnrGVZBAIGt1xzLz9++2ujY1PTkvnfW4/To1fXfUrzl5aU8ckHn/P+25+wZdO+yYCLr5rIrXdf12LzPhAULl8cdmxcn4HY3JFr+9AYKS1Mj4fSDWtABre7MKZbL+xxCS2+ECjgC/Dvcx4MO/76124mPi2h5SakKIrSiizTQloWv8z4maVzF1OaX7rPmC79szhs/JH0P2JgPUdQGhMIBPj8k2+4+5ZHQopLTIrnm4Uz27Q6laIoiqIobW/79u1kZVV3NSdLStn0SsomHJCfHnYnyj9iT8L+P6Em7IUQ3YFEKeXSRsaMBe7d/U8P8MbeY6SUfiHEf4F7qEqm3wo8vtdxDgeu2P3PH/ZO2O8+zkIhxE9U7ba/QgjxppRy77N0t+y+Daj6nVs0Ya8oiqIoinKgkVJi+X1487LxFRXuk7DSnS6cyWk4k1OI5M57IQSulDS8udk0Vo5amga+grw6lzmTUqEdLDowvR68hXlomo4tOgah20BamH4fRnk5tugYnElVBa7aS4WD6kT4QQf3Z8BBfdE1DWv3Y6TV+tdLuPHKf/LLj/t8ZdhHXm4Bl0+8kXc+eRFPpYcrzrsJwzBJTknklLHHc+4FZ3LRlROZNmUmj/3r2Zpyr5f95Xz+/s9r2PT7Broe1L3dVDdoz+prT1FNaDpC15GWhTSNBuLN1ppaswmhobujiOvVj7LN6xvfca9pxGT1xB4X3yrPU7vTTkavzLBK5McmxxGXEt/ic1IUpeOSUlZttRbtq3pSNU3XQNc44pyjOWrisaxbvIZd63YS8AVwxbjoO6o/ad3SMY32+x7SntntdqZP/SjkuKLCEubO/o7RY4/HrhL3iqIoiqKE4IDcaS+EmAGcvfuf3wI30XgzPb+Ucu1exzgO+A74FZgFLKNqxzxAT+Cc3f9Vf6q/Tkr5QgPziQUWA313X/QyMJ2qRP/xwD+BmN3/PkJK+XsDxzmEqpL3bqAc+L/dc3QD5wFX7x66FhgupSxr5HcOi9ppryiKoijKgaK6R3X51o1VJ3QbYYuKJqZHn6rkXIRO+kopqdi+GX9RQfBBQhDfdxCawxnReQdKi5GWiSM+CSktjLJSLNNEaALdFYXNHYXhqSRQXooruWqRQXs8ud7aAoEAH733GQ/d9VRIccNGDuGND57l/DP+worlq2su1zSN08edzD2P3MJP387np+/mc/7F4+k3qDdfvz6XNb+s5G+v3ozQDrz7Ohy1d9oL3YYzKQU9Pgln1J4d9AG/H7OkCG9hLpZvT6n29rzTvprcvSDFX1yEtyAXs7Ki5jrN6cKVnFq1sKYVn5+mYbL829+Z8+wnIccee8EJHHHO0WoRiqIc4KorJJk+L0ZlBdKyELqOPTaupupQe/2MYZom0trzmVTXtX1bbShB27BuM+NPuiSs2OrPVoqiKIqi7L/UTvuWc3atn08AljcxfgvQvYHrDt/9X0Mqgb9LKV9uaICUskwIcTrwGdCHquT61XsNKwUuaChhv/s4S4UQk4C3gTiqkvZ7Wwuc3hoJe0VRFEVRlAOFlBZGRXlQCXsAo7KC8k3riO3Vjz1rOttedOduWD4fRmV5EKMFMV17Rjxhb1RUYI+Jwwz4qdy5FV9xEbrDUbUzWUqsgB/N5sCVnIorJZ1AeSn2mLiIzDfS7HY77039OOS4JQuXs37NRiZedBb33bYnaW9ZFrNmzmXXzhxefvtJTjjlKFb+9Cdv3v5qTf/cXRt20qlP++y33t7YomMwKspxZXTBlZyKx+Pj/Wmz+eXHRZSVVeB2Ozno4AGcd/E40vsNxlNUiHfnFqCqakd7V92ewpGQiDMxuapygGUiNA2hVVUSaO3kkW7TGXz8wXw75Us8ZZ7g4+w2ho0ZqRL2zVC9IaT2+0V9lylKeyWlRAhBoLQEb34uRsVep82EwBGfiCslHd0d1S4f17qug3oZaxFSSjas3Rx2/OZ6WgspiqIoiqI05UBN2reEJcCFVCXshwOZQApV92kRsAL4BnhVSpnb0EGqSSnX794pfx1wLtAbcFC1a/0zqsrZbwniOLOEEEOAG4HTgS6AH1gPfAA8J6WsDO1XVRRFURRFUWoTQqNi+5agEvbVjMoKfAX5OJNTItR7XSItk9iefajYvhV/ccM77jW7g6gu3bBHx7bh/Opni4rCX1qMJ2cnrqRUYvt0wu501BnjLSnGX1yAv7iQmG69sPw+NIej3fW4b02WZfHnstWsW7MxrPj33v6EW+66lv+7+2l8Pn+d6xbP/53HHnyO2+/+G1+9+gWVJXt2UJcXqbXAwZCWhTM5DXtSGnpUDP9373/49MMv8Hp9dcYtmPcbb7z4Lkcffxj3PnILcd37YJaVQDtMDjWk+nlXlazf8xxsq92eQgjO+cd5vHPvVKxgSkILwVk3n40ruv0vjGgvaifjq1s/CE1DWha+kiJ8xQXIQAB7dCzOlDR0h7MmIaoo7Vn51o34iwvrv1JK/MWF+IsLieqUhTM5TT2m92NSSgyj/pY1wTAC4ccqiqIoinLgOiCT9lLKZn+q3r1T/Z3d/7UIKWUF8Nju/5pznC3Azbv/UxRFURRFUVqQlBKjvAzL72t68F58Bbm4UtJaYVZNE0KjZMMKXMnpRGd1JyqjM97CPAKlxViGgRAC3eXGmZyKPTYeKxCgdMNqXKkZOOIT2jwBLqUFliRQUYZlGCT0O4jc7DzefWYK3331M8VFpTidDvr278Wki87iiGNHYvh8VGZvJ6pT1wPuRLppmPyxdGXY8av+XIfL5SQxOYHsnfuuOf74vc+4/pYrGXryofzy4U81l9sc9rBvsyWZpokAsjdm4y33YHc5SO2ahtPtRCLRIlweWGga9rgE/D4/l593E8t/W9HgWMuy+OGbXzj/jLW8+eGzpGVG5jWjo9JtOlkDuzH5Xxfxwf9Nx1fhbXCszWHjrJsn0P/wAaqEdBCqE++W34c3Pxd/UQHSqloYIXQdR0IyrpQ0nAlJeHKz8WRvx5ufgz02nuis7qDrB9RiKqVjqdi+ueGE/V4qd25DaDqOxOQD7vNGS5NS1l0EK0S7uE81TSMlNSns+MTkhJabjKIoiqIoB4wDMmmvKIqiKIqiKOESQuAtaLKQUr1Mn5dARTm2qOg2PSFZVWa+HMvno3LnVrz5OTiTqsrJR2XULW0eKC+lfOtGAiXFgMSXn4szIfyTluESQkNqEkuCiI7jjusfYO7s77B27+qstmtHDj988wudszJ44LE7OGTEYAJlpdijYxD6gVMjViLxeBpOTjbFuzvW5a5/t7HX6+OjDz7jjDNO4pcZP1edYBeClC4pYd9mSzBNk8qSChbNWsDvX/1WpwqAbrcx4MiBjDzzcDJ7d4p4EkDTNG6//oFGE/a15ebkc/WFt/LRV1MiPveORtM1sgZ246Ypt/L710tZ8tlC8rfl1VyfkJ7IoacO59DTRuBwOVTCPgjVu+vLt23CX7RvpRZpmvgKcvEV5OJITCa6SzeErlO5YwuBshJK160irvcAsLWPhJyiVKv+jFTf47oxFTu34khIBHHgfNZoSVJagCBQXorpqURaFppuwx6f0G6qcxw68mCSU5MoyAtuMUdtp5x+PIZhYLOpU++KoiiKogRPfXJQFEVRFEVRlBCZvvCTo6bXgy0qirbube/Nz6n52fL78GRvx5OzA93pquo3LSWW4UcGAnXijMpyTK8H3eVu0/lKKTF9PnC4uGzijaxYvrrR8Tu2ZfOXi2/j6Rcf5Ihjhtf0vI/0Cd+2IoQgLi78dgaxcTEAlJeVNzjmh69/4eIrJxIdH01FcTk9h/YkLiU+7NtsLsu02LB4HTMf/wDDF9jnejNg8Of3y/nz++UcNv5ITrr8lAjMsoplWWzasJXvv5oXUty2LTuY/dGXnDHhFOz29lHVoKPQbTq6TefQU4czYuwoPGWV+Dx+HC477tgoLNNSPexDVL55PYGykibH+YsKkKZJTLdemD4vvvwcrICfsk1rieszsA1mqiihqf0ZKWiWha+wIIJtjzqmqgVAEm9eLr7CXCx/3ZY87NqGLSYOd2oGtpjYCH+Ok5w9aQyvPPd2SFE2m875l4xXCXtFURRFUUKmPlUqiqIoiqIoSqhC6GVfb2wzwsMhhMD0euqdi+n1VCXmPRX7JOyrGZ7Kml2WbUUIgc3l4p5bH20yYV/NCBjcdt395ObkYzbwu+yv7HY7x550RNhl4I8+/jBysvMozC9ucExZaVVC3xntBGD42FGYwfQMbwWmYbJp2QY++L/p9Sbs9zb/o3l8/frcNn8cV5MS3nn9w7Bi33vrY5Wwb4bqxLw7NoqEtASi4qoqnaiEffCklHjzsoNK2FcLlBbjzcvGnZoBu5NuptdDoKwkYs9DZV+WZWEYxgH9N5GmSaA0+Md2bb7CPJWwD4GUEiyLsg1r8GRv3zdhv5tRXkrZprV487Ij+ti02WxMvuwc4uJDWxR5xoRTVHl8RVEURVHCoj5ZKoqiKIqiKEqIhB7+zhlhs9UkMNqS3KusfOixbX/SNHtnLl999kNIMV6vj7df+xB5gOywry09M5UjjxsZcpzD6WD8pDHMmDZrn/YDe48DMPwGfUb0o8+IfhFNfH7y5IyQHtfzP5pH9oZdjf6OrUXXNb6Y9W1Ysav+XMeObbtaeEaKEhpvfuhtYXwFeQibDUdcwp7L8nMPmAoo7ZVhGADs3JHDF7O+5ZMPvuDLOd9TUlyKtCSmGZnFWJFSVT0pvM849S6IVBpVtnkdRmVF0wMBT/YOfAV5EU3cx8fH8vwbjxIVHVzFqVFHDuOeh29p5VkpiqIoirK/Ukl7RVEURVEURQmBlBaO+MTwgoWGIy4+IgkLrRn93ati23bOhmHy7pszw0qwfjpjLpbZ9onZSDMMg0uuPi/kuLHjTyY2LoYZ785udFy/Ab0I+AJk9Mxk/O3nsmblegIBI9zphs00TFb+/CeVpZUhxy789FdEGz+WAQKBAOVlwSUp6pMfRj9dRWkJUloESouRRujVS6yAn0BpMc7ktJrLAuWlSOvASgq3N7/+uJhrLrqV046cxJ03PMi/7nyc2667n+OHj+eOGx5g5R9rI7K4KWKamRA+kKsUhEJKC39xIUZFw2146uPJ3tHsv1Fz2Ow2Bh3cn7c+eoHBQwc0OM7tdjH50gn8b+rjCE2oxUmKoiiKooRFJe0VRVEURVEUJQRCaDiTU8PaLe9MTIIIlFGVUmKvtdMxJELDHtv2Cw1sNp3vvvw5rNiy0nIW/vLbAXfC1GazMXzUwdxw21VBxww5ZCB33H8DH7zzKXm5BY2OPe/i8ZTklTDhzkl8Pusbbr32PmzNWAwSLt2ms2TOwrBiV/68Ar/H18Izalq4bQuq2VQpdyViBIGy0rCjA+Wl6C5XncvkAbaTu72wLIt/3fkE1112B7/8uGifZLMRMPhi1rdcOO6vvPnyexGaZdsTzeg7LjT9gPusES4hNHwFoVfskJaJryi/WRWjmstms9GjZ1fe+eRFPvj8Nc4+73QGDx1An/49GX7YUG675zq+W/IRt9/7N3RdQ4/AZyNFUfZ/1W3JjIBBYHd7MMuyIvr6qChKywv/k6miKIqiKIqitIJAIIDdbmf92k3k5xXicNjp1qMLySlJGIaBrRknV1uK0DScSSn4CvJCCBK4UjNab1KN3rTAlZKGNy875FhHQhI0M+EYruKi8BNFRYUlmKZ5wJ041TSNK/92ITFx0Tz9yEt4Khsu3XvSacfw0JP/YNGvS3n8gecaPe7BwwbRp39PdmzdyUN3PcWM6VW78letWMvAwf1a9HcIxq4N4ZWLNwMGedvy6NI/q4Vn1Dhd1+nUJYOd20N/DmqaRqfOkXntUBSgWTvjpWkitL1eh1WSMyIeue8/zHh3VpPjpJQ8/ciLuNxOJl44Dl3fv/f76E4XmsPRYH/1xtjjE5BSqsR9EEyfN+iy+HvzFebjqlWxIxJs9qrvH3369+TeR26tsxgvEDCw2yP//URRlP2TlJLyonIWz1nAsq9+o7yoqmKJw+1g0DGDGXnm4aR2TUNaFiJC39sVRWk56hOFoiiKoiiK0i4EAgZ+n58P353FB29/wtbNO2qu0zSNI48byeRLJ3DksSPbxQnSqE5dsXw+AuXBJJYFMV17ojmcEZu3ZnfgiE/EX1IUfJAQuFLTW29STXDu7qEeDofT0ezdzR3ZuRecyZnnnMpH733GzHdns3nTNkzDJCEpnlPGHs95F4+nR6+ufPz+5zzwzycwjIaTcjGx0dz/79tZv2YTZ4++tM51Te3Obw1SSsxmlOX3e0NPzDRXIGAwftIYnn/y9ZBjjz7+MBKTE1p+UooSpOacABaaXmcHmNB1hK5ORbUly7RYs3oD7039OKS4Jx/+H2PHjyY2LqZ1JtZuSJxJqVVl2EPkSolsIrkjMX3esGMtX9tXyGlIfZ8tVcJeUZTW9O2bXzH/o1/22VHv9/hZOncJS+cuoe9h/Rl/67noNtD288V2irK/U58qFEVRFEVRlIgLBAw2bdjCNRfdSn5uIf0H9eHCy88hNi4GwzDIyy3k27k/8dO38znhlKN57Ln7sNn0iCVlhRBIKYnp0YfKndvwFeY12G9TcziJ7tINW3RsRBcaSCmJzuqB6fdheoLrBR7duTu60xWxeffq252c7BCqGdTSf1DviC/siCRd14mKcjPxwrO44LIJda4zTbOqTPI/HmfGtMb72CcmxfPsa48QGxfDheP+us/1dru9RecdDCEEDrcDvye85Ls71t3CM2qa3W5j0kXjeOm/UzFCXHAw+bKzMQxTlchXIkNK9KhoKMwPK9wWFY3l35NwcySmtNTMlGAJeOf1D0MO8/v8fPDOp1x05cT9OilZ3fbIm5eDNIN/fbZFx2JzR7fizPYzzehLL4lcT3tFUZRImvPcJyydu6TJcWvnr+adu6dw4f9dhtDEAf09WFE6OrXsRlEURVEURYkoI2Cwc3s2V0++mcOOHM60T1/k/c9e5aY7ruLSK8/hqr+ez32P3MK3i2fy4BN3kr0zl1uuuTfS0675IhzVKYuEgQfjzuiC7o5GczjRnC7scQnE9OhDQv/B2KJjIv7FWQgBQhDXq1+T/e2FbiOmWy8ciUkRm7dhGEy6eFxYsYeOGEK3Hm1b/ry9qi/Rous6uqZz90M38+9n7+WQ4YP3GZOekcq1N1/OzC+nkJyaxJXn/53snfv2ou3Zu2urzLsxUkp6DesTVmx0Qgzp3SNTaj4uPo6r/3ZRSDHHnngEhx89QiXslYgRmoYzIXnfEvfBxOo6joQkfEV7Ev5qZ3Lb83p8zJ31bVixH7zz6X6dsK8mNJ3YHn2CbgekOV3EdOuFbEYi+kCjNWORn9YOWmMpiqK0JdMw+eO7ZUEl7KttX72Nb96Yq96bFKWDU596FEVRFEVRlIiy2W089sCzPPv6Iwwa3A9fSTGlG9ZgVJTtGbQ7aXDKaUdx1rmn8d/HXuGTD75g7NmjI3oyuTqhLXQbrtQ03Gl1k4HVX5iFaB9rZYUQSDRiu/fG9PnwFuQQKCnGMg2EEOhON86UVBzxSTXjI8Vms3HsiUeQnplKzq7Qdtufd8l4jIBR039U2Vd12cSTTj2G0848kY3rt7Bl4zYMwyApOZGhww+ipKiUGdNn8/ZrH1BUWLLPMUYdeSgZndq+fYK0JCPPOIxVP68IOXbo6EPDOpElLQsEgKjaLShC38GiaYJrbrqUsrIK3nr1/SbHH370cJ7437+wLKvDtXowDAPLkuiahiUtQBwQib/9lhA4klLw5eeEFOZMTAEp8RVVtdFwpWag2R0RX8R2oNm5IxufL7zKJDu27cLvD+BwtH1VlbYkhEB3RxHXawAV2zZiej0NjrXHxROd1QOh6eqxHALdHY1md2AFQn8sOuKT2kVrLEVRlLai23QWfPJLyHHLvl7KCRefjOYKv82coiiRpb41K4qiKIqiKBFjWRabN27j1ruupVOnVErXr8Kqr+elZVWVoC/Mw0xO4/rbrmTm9NntKglUX2K+PZ5crJ6T5nAQlZmF6FR3p7SUVruZt2VZPPD4nVx36e2N9lyv7ZgTDmf06cd1uCRnpNgddnw+PwvmLSEuPha73c6mDVv54J1P+erzHwj4Aw3Gnn/J2RiGga2Nd8BpukbWwG5k9Moke8OuoONsTjvDTx+FHuSu9erkvjRNfEX5u3vqSoTNjjMxGd3p2v18Ce2xdts913HoiMG89eoH/LZo+T7Xd++ZxaSLxnHeJeMRQnSox3IgYGDTdRbM+415PyyksqISl8vF0OEHcdJpxwKyzR8vSsuIyuiMUV7aaDKzNt0dhTu9E97CPLAsnMmpRGV2aeVZ7v/2LAYUdS5r7H3bH2bCvpoRMPb7pD3sTty7nMT3HUSgohxfQS6GpwJpWWiajj02HmdKGrrDqRLIYXImp+LJ3hFynCslTd3fiqIcMCzLImdjdkjfc6r5PX5+/2Yph54yPOjvPIqitC/q27KiKIqiKIoSMVKCZZp07ZpJ5ea1WIGGE4TVfAW5IC0mnH8G27bspHNWRodKarUXDZ38bC9VAaBqt/3IIw7h8efv544bHmwy8XDMCYfz1IsPtNHs9h82m47dbucfNz4UdMyRx47kuJOPjNhzzzRMJt5zAa/f/BLlhWVNjtd0jbNvn0hUfFRQx5fSwgoE8GTvwF9StE8vXm/uLmzRsbjTM7FFxwadTKhO9IwYMZQTTz2G9Ws2Me+HBZSWluN2uxgydCAjjzyU8pJyOlILXyklSJj+5kzeffMjtm/dWef6aVNmkJSSyITzx/KXGy5B1zV0ve1OJAYCAey1SjMHAka7WvTV3lVVaYHYXv0o37QOo7Ki0fG2qBhiuvfGqKwgUFZCTLfeOOIT2mSu+6vqBUKW34c3P7fqb2CZCF3HFhOHKzkNzW6vN5mckBgf9u3abDout7O50+8wqj8D2aKisUX12GdxxJ5xKoEcKiEEzuRUvPm5SKPpz/vVHInJaHa1Y1RRlAOHZVpsWLIu7PhNSzcw4vRRLTgjRVHaklA9LpSWJIToAmwD2LZtG126qJX0iqIoiqI0rWzTWgJlpSHFuLv0wCM1YuNi21XyRe2+anmGYbJrRzZTX32f2TO/pKK8ss71Q4cfxHkXj+fUM04AUIs4wiClZMpL03nm0ZcAGHnEoQwc3JfYuBi8Xh+7tufwzdwfqazwMOrIYTz7+iM4HPaI3temYVJZUsF7D77T6E6UqPhoxt16Dt0H96hpC9AYKSWmp5KyTWuRZtMVHqI6d8OZlBLU815akk+emsGfPywns08nDj11BKnd03FGOQn4ApTkFLHs66VsWLKOjJ6ZXPDQpTjcjnb/mDZNi9uuu4+vP/+xybEHDxvES28/icvpDOrvES7LspASfD4fH733GQt/+Y2K8grcbjdDhx/EuRecSUxsNEhadR77k+rzR4HSYrwFeRjldd+3q5PH9rh4LL8PEOhOtSu5uaS0kIZB+bZNGOUNL1JyxCcS3aU7aNo+9/f4ky5hw7rNId/2Sacdw5P/e0D9/ZQWIaWF6fVStnFNUO+vtpg4Ynv0AdRCCUVRDhxGwOD7t75h/kfzworvdlB3Lnrk8haelaIo9dm+fTtZWVnV/8ySUm5v7jFV0l5pUSppryiKoihKKKSUBDweytevDDnWFh1DXK/+++ygjATDMADBsiV/kp9XiMPpoHffHmR166R2dLaQqgScJOAPMP/nJRQXleJ0Ouh/UB969Oqq7ucWYFkWO7buwu60k5GZxs7t2ZSVluN0OenUOZ2AYbBj2y569emOQLSLRKdpmOg2ne2rtrJw1nw2LFmHr9KHzWEjs3cnho0ZycCjBiElQZWIlFJiBQKUrluJNI2g5xHTvTf22LgmK1XMfXkOi2YtCPq4WQO7ctEjl7f7pP2/7nicGdNnBz1+1JGH8vI7T7VaEsY0TAzT5IkHn+fTGXPxVO5b0t3usHPK6cfzjwdvxO12qbL9IahOwltGoKZCjma3o9nsSMvaM1AIlWhrJikllt9P6YZVSKPp1yTN6SKuV3+EvqffeiAQYMa7s/m/e54J+fbfeP+/DB1+UJtWxlD2b1JaWP4AFTs2N7wIRdNwJaXi3t1SQ72OKIpyIDECBr988BM/vvtdWPG9R/TlvHsvbOFZKYpSn9ZI2qtvpYqiKIqiKEpEGcUF4cVVlBPwVKI5Ile21QgYlBSXMm3KDGZMn0NhflGd64eNOpjzLzmbk047BlA7wJuj+r7T3TrHnXwkpmEitD39vlXCvvks0yI1PZmPP/ic99/6hPVrN9VcF58Qx1nnnsrkSye0qz7r1Yn4Tn27MP62c6vKeNfa1WsaJlqIySZv7s6QEvYAlbu2kxB3UKNjygpKWTxn4Z4LhKDHkB6kdc+o2WlflF3IukVrMQNVt79t5VbWLlhDnxF922VfSiklO7btYuZ7c0KKWzDvN379aREjjxiGrYV/L8u08Pn9XDHpJlYsX93guIA/wOyPvuTPZat4c8ZzxMXFtsv7uD2qfn5ptqpEfZ3r2slrw35DSso2rQkqYQ9g+byUb15PXO/+NZfZ7XbGnXsaLz87lfzcwqBvetCQ/gwbdXDIU1aUxgihoTkcxPXsh+nz4i3Iw/RUIqWFpuvYYxNwJqXA7tcZlbBXFOVAo2mCLgOymh7YgM59u9QsbFYUpeNRZ7YURVEURVGUiBFCEKgoDzverCzH5nS14IyCZxgGy5au4IYr/klZaf2/w5IFy1iyYBlHHT+Kp196CLvd1m6SnR2dOgnRsgzDYM2qDVx36e0UFhTvc31JcSlTX3mft179gOtvu5Irr2tfuzdq7/qvfYI/5MeJtPAVB5/Uqmb5vAQqyrBFxdSbYDBNk0WzFyAtiTPaxcEnHcIhpw4ntUsq+bkFlJdV4HK5SE1PxlPuYdnXS/nt80WU5BazePYC+h8+IOQ5tQXLtJj2xgzCqeA37Y2ZHHHMyBafk6Zr3PyXexpN2Ne2eeM2rrnoVqZ9+nKLz0VRmkNaFv7iQiy/P6Q4o7KcQEU5lm4nL7eA5JREdF3n+Tf+zZXn/73Bzyy1dc7K4D+vPIwRMLCpRXFKC6tZ+ONwEpXZpc77prQstfhHUZQDmqbr9Bjai8SMRIqyi5oOqB1r0xk2ZoT6rqwoHZj6FKQoiqIoiqJElLSa7mnZcKzV9KBWEAgYrF21gb9edFtQJ79//m4BN111F6jOVAcs0zQxAgamYSKt9vVACAQMNqzbwuWTbqw3YV+blJL/PvYKLz87FStCz7/WIqsT9mH+Xr7C/Aav03Wd5d8sJbVrGlf+968cdf5xfPvdPCaMvowTRpzNmSdcxOgjzuWUIyYy9fX36Xv0QP7y/N/oO6o/m5dvpLyo4T7WkaTbdD758IuwYn/+fgElxaVNDwyBZVr8uWw1v/y4KKS4VX+u48dvftnd6kRR2gehaXgLcsOK9eXnYHfYufqCW6gor2TG9NkkpSTy5oznGHBQn0ZjjzhmBG/NfIGCgiJ++XGhel4orUbU00JDJewVRVGqPtMeOib0xa39DxuAOzaqFWakKEpbUZ+EFEVRFEVRlIgSWvirwJsT2xx2u417bnkUr9cXdMy8HxbyyYdfENjd/1fZ/1mmhZSSytJK/vxuGYtnL2Dpl0vYuW4HUFW6vT2w6To3/+Weevt+N+S5J15j3eqN+1fiXhLyjtbaLL+/wTK+pmnijHZx4SOXsWXrdk49chIP3/0069ZsrDMuNyefF//zJqcccS6zP/6Sc/5xHv0OG0BJXknY82pNnkpPUAuX6mNZFrk5DS90CIuAd974MKzQaVNmqr72SrtiBfyYnsqwYv2lxQhg8qVnk5icwBsvvsuF4/6Kz+vjvTmv8tZHLzB2/Gi69ehCaloyPXp3Y/KlE/j4m6m8+NYTrFi+hssn3sBbr32gnheKoiiK0sZ0m86oMw+n+5CeQcckpCdw2rVj290CcUVRQqM+eSuKoiiKoigRI6XEHhOL6akIK94eE1vT87KtmKbJH7+v2ifZFozpUz9i/KQxrTArpb2xLIvsDbv49aOfWTN/NdZeCfq07ukMGzOSQ0YPA0HE2iYYhsGCeb+xbcuOkGPffv1D/vXY7a0wq46qkRNkEibddyEbN2zhqsk34/M1vjjAMEzuv+NxTNPirFsnULSzoIXn2jLCqIq/V3zLnlSUUvLVZz+EFbtg3hKKi0pISIxv0TkpSris5uxwlxIjEKBbzyw2bdhK9s6qHfvnn/EXRhx+CJMuGscDT9xRJyHvqfQw5+OvufOGB1m9Yh0AC39Zimma6PqBVWY3EDCw221YloXfH8DlcgJV75lqEYOiKIrSJgScd9+FfPjodNYvWtvo0JSsVC548BIcbmedtmGKonQ86pOmoiiKoiiKEjFCCJzJaXjzskOOtUXHokegn72maUx/86OwYlf9uZbVK9bRb2DvBnfkKh2ftCRLv1jMFy/NaXCnQ+7mHD5/YRar561g4j0XgD0yiXubzca7U2aGFTt31rfccf/1xMREt/CsIkez25sR62jwOt2mE5cSz8Qzr2oyYV/b/93zDEceM5LkjKSw59WaoqLdREW7qawIvkpDNSEEqanJLTqf8rIK/CHcv3srKihWSXul3Wju5wShadjtNsrL6i6MXPTrUhb9upT4hDgyO6fjdrsoL69gx7Zd+zyXpZR4vT6iow+MUruGYWCZFrM/+pLpUz9mzcr1SCnRdZ0jjh3B5EsncMTRIzBNE5tdnVJVFEVRWo+maQgbnHfvhWz6fQOLZi9g3aK1dVoEdumfxfDTRzHgqEEgOOAW2SnK/kh9wlQURVEURVEiSnc4sMfFEygNrfyzKyUdKWWbJ7+FEKxZuT7s+JV/rKF3v57YbOoL9f7IMi1W/vwnn/9vdlDjNy3byAcPT+O8+y9q5Zk1bOniP8KK83p9rP5zHcMPG9qyE2oGy7KwTAtN00LeZSI0DUdCMpU7t4W1hdyRmNzga1IgEOC7L+eFXA7eNE2mvTmDv995TcjzaQumaTJ2/Gjef/uTkGNHHTmMxOSEFp1Pcxe+aOpE536turJD9XN073+3N5rdUVVNKIzXI2GzY7PbKSkuIzEpod4xJcWllBSXNnksp7PhBUn7E9O0+OXHRfzjxof2afthmiY/fTufn76dT4/e3Xj+jUfJyExTiXtFURSlVYndn227De5Bj6G98JRVUpJXgrQk0YkxxCXHYRomujq3oCj7DVUrQ1EURVEURYkoKSXRXXqgOYI/KexMTsMRnxCxE+2h7JStL1bKyPcBr05WSCmxTANpmbv/Hfm5dWRSSua+NCekmI1LN7B63oqI9bgPpZf93srKwutn3pIs08KyLAL+AIZhIjSBZVk1z9NAIPgS01WJ+9B3tWsOJ47Y+AZfk+x2O9Onhleh4+P3P8e02ufzUgjB5MsmhBV7/iXjMZpT/rse0TFRxMbFhBVrs9tISW2fFQ2U5ql+XzM9FVTu2ErZpnWUbV5H5c6tmN6q1z/ZHp9jmoYjPjGsUGdSCqXFpSz69Te69cwK+3nRb2DvA6IcvGGYfPflz9xwxT/3SdjvbdP6LVxw1jVkZ+dhhPD+oiiKoijhql6M7I6NIqNnJpm9OxGXHAegEvaKsp9RSXtFURRFURQlooQQCF0nrvcAdHfT5VddqRlEd+7aBjNrWFx8bLNiI9W/HPYk6wPlpZRtXkfRH0soXvE7RX8upXjVMry52ViG0eK9pg8EpmHy5w9/4CkLPQm+aPbCiJ1wiWpG2ePmPBdagmVZmKaJtCR2h51ApZ/i7GIqSyqx22xVO080DSll0I9pd1omhPgcdad3bnLBy28Ll4d0zGqlJWVs3rg1rNjWpmkaPXt345Sxx4cUN3joAI496YgWTwZKS3LWOaeGFXvSqccQFeVu0fmEyzLrX8ATqYU9HZmUkkBZKSVrV1C6fjW+wjwCZSUESkvwFeRRum4lJetWYVSWt8v3PVdKehhRAlt8Eh9Mm8Wcj7/GMs2wnxeTLhoX0sKnjqqwoIg7b3wQK8jFG0WFJVx/2Z2tvtM+lPcuRVEURVEUpePb/5fLKoqiKIqiKO2eEAJ0G3G9BxAoL8WXn0ugbE+5fKHrOBNTcKakNdo3ui0YAYPjTjqClX+sCTnW4XRw9PGHRazXnJQW0jAp3bS2ZndhbVYggCdnJ57cXbgzOuNOzYjALDsu3aazdO7isGK3rdxC4a5CkjLbdqevlJJRRx7KV5/9EHJsdEwUgwb3a4VZBUdKibSqkhnLv1nKks8Xkb1hV831MUmxHDJ6GMNOG0FUfDQSWdUbspEKHUIINIeT2O69Kdu8HoJI4LgzOuNISGz0uD6fP+hkUH327kndnkgpefjpuyguKmXBvCVNju/TrycvvPlYqySihIDJl03gnTdmhHz8yZeejWka2DR7i88rWKZhoukam5ZtYtHs+Wz9czN+jx+7y0HXQd0Yfvooeg/vg2VaaldVEKSU+ArzqNzR+KIX01NB2cZ1RGf1aPK53JaEENiionEkJuMvKgg6zp2eie5w8OG0T6kor2T2zK+YeNG4kJ8XsXExnDHhFOwdvAS8lJJAwEATAolESnA49jzPDcPg3Skz8YdYRWnDus0smPcbw0cd3KLPx9qLK6URAAS6y4XNHY20rJpSyYqiKIqiKMr+p2N/8lYURVEURVH2G9Unye0xcThi45GWhTRN2L0Tf+9xkWKz25h08XhefnYqRoi7Hk8ecywxsdGtNLPGSSmRpknp+lVYgSZOTEuJZ9d2sCxcaZkRv887koIdofUsry1/W26bJ+0ty2LypRPCStqPHT8auyMyCU7LspCWJGfjLt578B0qivdNapcXlvHT9O+Z98GPjL56DMNOG9Fgz/nahBDYomOJ69Ufz67tBMrr7/msu9y40zthj2u6VYfT6UDXdcwGdlA3JSYmMq8bjZGWRGii6v7SdV5863H+98wUPnj7E4oKS/YZHxXt5oyzT+Hv/7wGh8PeKouXhIAuXTsx8aKzeG/qx0HHnXTaMQwdPhizqdfGVmQaJkW7Cnn/oWkU7qyboA14/WxYso4NS9aRkJ7IuXedT0pWqkrcN0JaFoHy0iYT9rUiqNi+Cc3hwBYV3a7e96K7dAcp8RcXNjnWlZqBO70T/7rjcXZsywZg2pszGD9pDLfcfS1PPPh8ULep6zqP/vcedL3jJogNw8Bms7Fj2y5mzZhLQX4Rmq6R1bUT4yaOITqmusqM4KP3QmtrU23alBmMOvLQFplv9cJKb34OvsJ8pFm3woHucuNMTsWZmFL12bgdPUbDVb2YrXYFqkDA6PALRRRFURRFUcKlPgUpiqIoiqIo7Ur1SUihae12N1FCYhxjzjqJT2fMDTpG13UuuXoSRKjKqRCCsq0bm07Y1+LJ2YktJq7dJTDaMzMQfvlqI2AGlVRuSbquM2zUwfTp15N1azaGFHfBZRMi9riQliR3Sw5v3TWFgLfxx7RlWnzxv9lYhsnwsaOwLKvJFhVCVO1sjO3ZF9Pvw1eQh+X3IQHNZsOZkIwtOqZq12OQ98GwUUNY+MvSYH/FGgmJ8fTs3S3kuJZWnVwJ+AJsW7EFb4UXu8tB535diI6PBgnX3HgJ19xwCV/O+Y5fflpMeVkFUVFuhhw6kHHnnobdYa+qZtBKr+1C0/Hk5fCPf91IeVkFcz76qsmYo44bxaP/vQdvQS7OpJRWmVdTTMOkcEc+U25/FV+lr9GxxTlFTLn9VS5+5HLSuqerxH0DhKbhydkZWpCUeHJ2Etezb+tMqhliuvbEFxuPtyAXs3LfRUq2mDgcSak44uJ57F/PMmP67JrrNq7bwj23Psqj/70HgCcfeqHRHfcul5N/P3svRxwzImKVgZrLNE2W/baSF5+ZUm8FkP889gonjzmWux78O9u37qSwoDis2/n1x0UAdXbAh/M+LqXErKykbPO6qgWr9TC9Hip3bMVXWEBsjz6g6x32s1l1Yn7jus1MmzKTNSvX4/X6iIuP5biTjmDC+WcQFe2uaqHVQX9HRVEURVGUcKikvaIoiqIoiqKESErJPY/cyuaN21i+dGWT44UQ3PN/t9CnX0+0COxak1Ji+X0Y5WUhx3rzc4jp2rMVZrV/ioqLwu9pPOnWkJiEmIicnDYCBs+88hCTz7yGkuL6d5Xv7c5/3UBW9y6tlnxtTFXSXfDh/01vMmFf21evfUHPQ3uTlJkc1Hghqn43ze7AndEJqEoe1E52BbuwyAgYnH/J2WEl7cdPHAMRzllYlkX+tjwWfPwLK376E8MXqLlOaBp9R/Zj5JmH0W1wDwBOPv04Tj3jRDRdw7IsTMNsk6oMUlqAxJefwyPP3M3wUUOZNmUG61bvuyCla/fOTLpoHJMvm4C/uBDp8xHJO/rd+99qMmFfLeD1M/1fb3H9a7e08qzaD9M0a9phaJpAaySZLKXE9FZieipDvh2jvBTT70OzO9pNsrB6Ho6ERJyJyRieSoyK8qpEsa6hR8Vid7tZumg5Lz/7f8z7YeE+x/jsk68BePCJOzn6uFG8//YnfDpjLmWl5TVj0tJTmHD+WCZdPJ64+JgWTdhbloVlVi38EQg0W+OtSprDNC1mzfySf93xeIPVTfw+P3M++oojjxlJWkb4i3W8Xh+mYeLZuQV/SVFNKyeby42UVs37SGOktDB9Pko3rQ2qJYvpqaBs01rievWvKi/SwRgBg+1bdnDv7f9m2ZIV+1y/ZMEynnviNc469zTuuP96NE3rsItHFEVRFEVRQqWS9oqiKIqiKIoSIk3TsNl0XnvvP9xzyyPMnf1dg7vWEpPi+eeDf+fkMcdGJMFZzZufE1ZcoKQYaRoIW+T6PHcUpmky4MhB/Drz55BjYxJj6NI/qxVm1TSb3UZmp3Te/vh/XHPRrezYtqvBsQ6ng38+cBPjJ45BaJHbZb9uyTpKcotDjls0awGnXD0mpLiqxJLY69+h0W06x518JBmd0sjemRt0nM2mc/6l47HZIvfVXUrJb58vYu7Ln9UkTetcb1msmb+KNfNXMfLMwxl91WnY7XteLzRNQ3O0zWufEBqupFSKVi7D9HkZe+bxTDh/LMt/W8EvPy6ivLxq5/+hI4dw2FHD8Xk8eHN24MvPJb7/4DaZ495Mw2TVzysozQ9uwUy1iuIK/vjud4aceMh+u9teSlmVgA+YrP5lJaX5JSAE8anx9D9iIJqm1bRo2JuvMPge8HvzFxXgSs1odwnR6gSw7nKju1w1lXt8Pj8XjLmS1SvWNRr/2Sdfs2bles6/9Gyuv/0q/v6Pa9i6ZQeVFR5iY6Pp2iMLaVnYWrA0uWmY6DadXet2sG3VNgJeP85oF72H9yEpM7nm+pYSCBgsmLeE+29/rKY6SGNKikvp3DUz7Nuz2W3oNh3dHUV0QgrOuDg8ZZWUFhag6RrRiTE1v19DnwGF0KjcviWohH0101OJNz8HV2p6UAsD2gsjYLBm1Qaumvx3ysv2rRhRzefz8/7bn7Bh7SZeeuepqud6O3s+KoqiKIqitAaVtFcURVEURVGUMOi7y5I+9tx9/P2f1/DulJl89dkPFBUW43A46Nm7G+decCanjD0eRMMna9uCEIJAGLvsq0gC5WU44hPVCdMmaJrG8LEjmf/xvHqTm40ZOnpYo+WKW5vNbqNzlwxm/zCN7778mXffnMmiX/fsCu+clcE5k8/k3AvOJDomKmIJe6hKgC+Zs+9O0mD88d0yTrr8lIhUvLBMi/+88jCXnnM9Ho83qJh7H72N1LSUOqWX25JlWiz/9ne+eDG4fs8LP/0VTdc48bLRkXu90DSiu3SjYtsm/EUF+GJi6dM9gz59JqDpelUiL+CnbPN6AqXFALgzu0RsZ7Vu01k0e0FYsYvnLOSQU4a38IzaB9MwqSguZ94HP/HHd8v2qWDiinYx+IShHHnu0bhjo+okfoUQWEZg70MGzQr4213CvraahUS7p2i327n82snc8bcHmnwf2bBuM48/8ByDBvej/6A+9O7bo+6AFnptrH4PXPbNUhbPXkDu5roLB798GboP6cGocUfQe3jfFnvu2e02nnr4f0El7AF2bNvFmeecitvtCvp1ubbBBw8AwJWcxtqFa1g8eyablm+C3X8Hm9POoKMOYuSZh5PeM2Of0vlSSkyfF6OyvN7jN8ZXkFe1uKQDqaio5NpLbms0YV/bkoXLue/2f/PIM3e38swURVEURVHaB5W0VxRFURRFUZQwVSfiMzulc8PtV3PzP/9a5/pAwGjRHWvN0VCP1KBjpWzXSYz2QAhBfGoCA48+iBU//BF0nCvGzYjTR4JpQAR3zFY/Vo896QhOOu0YfD4/FeWVOF0OoqOjanrQtgdbV24JK87v8ZG7OZvO/dq2qoFlWtgddnr37c4b7/+X6y6/k4K8wgbHO5wO7v/3bYw56yQEYFmypXJpIQn4AnzxUnAJ+2rzP5rHkBOHkpqVGpGFBkIIHAlJIC0qtm/FKC9rtDWIO6Mz7ggmvnweHzvWbKtzWfchPRg6ehhJXVJwup34vT4Kdxay7MslbPx9Y01CMGdTNpUlFUTFR0di6q3GNEyyN+5i+v1v4Snz1DvGW+Fl0az5rPzpDyY/cAkpWak1iXspZTMbHXSs9zrdpjN6zHFoz2vcffP/4fU23GYhMSmeZ197hH6D+rRahQYpJZZl8eEj01m3cE2D4zYv38Tm5Zs4fMJRnHjp6GbfrmmaLF+6kvVrNwUdM+fjr7jpzr9w2lknMnN6aK91AJMuHofP62Pq7a+Rsyl7n+sNX4Bl3yxl2TdLGXLCUMbeMA60uhVbfAXBV1+pzQr4CZSVYo+N6xCLKgMBg+lTP6KosCSkuM8/+Yab7vgL6ZmprTQzRVEURVGU9qN9nHFRFEVRFEVRlA7OVs/J7/aS4ISqvtPh7uMWmqYS9kHyFORxxg3jKM0rYdvKrU2Ot7scnHfvBTjcdgxvJZoj8n2Uqx+3TqcDp9Oxz+XNVbUTVFaVdhb1l7ZuNN6y6vRUD1WwfcNbkqZrSEui22z07tOVub+8x+effMP0qR+zYvnqmnE1FQ0mn0FUtBtpGFgI9Ai8lpiGyW9zF4d1Xy/6dD6nXXdGxFKfQggciSnYYuLwFReg6TZ0hxOh6UjLwvT7kEYAe3wiutMVoVlW8Xv8NT8POWEoh51zFGlZaSxb/Cefff4tFRWVREW7GTbyYCY/cAn5O/JYMPMXln65BABvpW+/StpbpkVJTjHT7p2Kr6Lpnc8VxRW8c/cUrnjmGmKT43YvppNoDmfYc9Acjg63UE3TNE445Wi+XfwRH077lPff/pTtW3fWXN9/UB/Ou3gcY8ePrmnx01qEEHz8xIeNJuxr+3XGzzijnBx5zjHNquKiaVrIifeiwhLmzvmeSRePDzk2KSWR0acfx4/vfFtvwn5vy7/9nYAvwIQ7J9VcJoTA9Na/MCUYprcSe0xsh3is6rrGh9NmhRxnWRbTpszg+tuujGirGEVRFEVRlLagPu0oiqIoiqIoyn5OSoktOga/P7xkpS06NuKJ5I7Cm7MTTde54KFLmfvSHJZ/uwwzYNQ7NqNXJmfcMI7kzslUbFmHO7NLu7mfpZSYxp7qDJqmNbukvJQWIDAqyjC9XkAibHYccQk1CYdgfn+hadic9rAT987otk/SSimxTIuA148r2kWgvJRTTzuas849jfKyCirKK3C5XcTGxWD4fBDwgQS/N4DD7cSyLHS9basw6Dad3z5fFFbsnz8sZ/RVp6G5HE0PbiVCCDSbnai0Tph+P5bPizRNpAB7bBy6w1nVdiDCz7nqChcnXjaaw88+io/em8O0KTNZs3L9PmN79+3BeZeM55zrziCtRwZzX/4Mu9Pe1lNuVZqu8dXrXwSVsK9WWVrJd29+zVk3T9h9icCZlII3r+lE6r6qYiNRJaK5bDadmNhoLrj8XC79y/mUlpTh9fiIinYTExtNIBDAbm/dx4tlWmxbuYVV81aEFPfju98z7LQRuGOjwr5tIQQ7t4f+N3/n9Q95++MX+OtNl/K/Z6YEFWOz23js2XvxVfpYOCv49har5q1g6ZdLGHLC0D2VIUJsp1NHBNvqhOqP31eRsysvrNgv53zH3/9xTQvPSFEURVEUpf1RSXtFURRFURRFOQC4UtLwFxWEHFeV3Ipc4q0jkVJij46hYutG3JlZjLn2DE645GR+m7uEdQvX4CmrxO60k949g+FjR5LZuzP+8nLKN63BCvixRcVE+lfANEx0m05JbjFr5q/GW+7B5rTTqU9nehzcs+b6UEgpQVp483PxFeZh+f11rq/QNJwJybhSM4KuNNB1UDc2/rZvUrMpzign6d3bvhS6tCSr5q2g++AelPvLcUa5sTvs+EpLsJkBElw6WH6MshL0qBiwOygrKCEmKY6Fn85n1Pgj2nzORsCgaFfDJfwbE/AFKMkrISUrcuWMq3tFm6aFMyYG3eHA7/Pj2F09wldRji4EtqjI7lJ3xbg4+cpTGT72MO688UE++/jrBseuX7uJh+56ivk/L+bfz94HUhLdTnbZS8uqSXQ39HMwygpLWb94bci3v2reCk695nRcMW6EEOhOF7boWIyKhlsj1Mcen4DQO/apsuqqKHHxscTFx9a6vPUXeAhNsHDW/JDjLMNkyWeLOHzCUc0q2y/DSGKv/GMND9/9DPc9eitC03jhqdcbHe+OcvPUiw9w6MiDefP2V0NeQLZo1nwOGT2s5t+aTSfcBkaijRdzhUtKSX5u6J9BqxXmF7fcZBRFURRFUdqxjv1NRFEURVEURVGUJgkhsLmj0d1RmJ7KkGKdyelIaSFEx9t1GAnOlDT8JUV4dm3Dm5eNKzmVUWNHcuQ5R9eMsSwLf0kRpRvW1CSUHAnJEd/ZKaVk8/JNzP9oHpuWbdxnB19iZhLDThvBiDMOQ2hidxnqpo8pTYOyjWsbLgFsWfgK8/AVFxDTrRf2mMb785qGyYixh4WVtB98wtBmVwwIh27T+XXGz/zw9jecd99FRMVHs2vDTlzRLhLSEtDtNizToryojJL1u0jrloYz2s27905lx7odHDpmBE53+OW+w1G70kI4As1oYdASAj4fNqeLn7/5lXffnMmiX5diGCa6rjPkkIGcd8l4Th5zbNW4CLalsEyLUWcdwUN3PdVowr62rz//kftvf4yHn/5ns/9OzSUtC4TAX1qMryCvTpLcFh2LKzkNe3wCIJt8HzENk6VfLAlr57FpmCz96jdGjh2FbrchpUVUZhdKN6wOfjeyphGV3ink21b28FZ4WbsguLL4e1s6dzFHTTq2WbeflpESVtyMd2cx5qwTufr6izhl7PG88/qHzP7oSyor9rxvZXRK45zJZzDxgjOJiY3hj2+WsmvdjpBvK3dzDjvWbCOjRzqarmOPSyBQVhrWvB3xiRH/7BAMIQR2R/iLRmztqN2UoiiKoihKa1KfehRFURRFURTlACClRUzXXpSuX4k0g0vyOJNTccTFt/LM9h9CCOzRseguN6bXgzQCeHJ24snZiWZ3IPSqftqWEQDLqhPrSk2L0Kz3+Pm9H/jhnW8bvL5oVyFfvz6XtQtWc979F2Fz2JpO3EuLsg1rMH1BlLq2LMo3ryeuV390t7vBBJ9u0+k9vA+JGYkUZRc1fdzdhKYx8szDmtUzOVxSSnK35IKUvHLj/xh41CCGjRlJcucUDH+A8qJyHC47cSnxmIbJT9N/YNk3S/GUVi2yKdpZSEavzDads8NpR2haVVI2DO5YdwvPKDhSSoxAgG1bd/G3y//Bjm276lxvmiZLF//B0sV/8PiDSTz5wr8YPHQAtjbYhVwfTdfYsnEb77/9SUhxs2bO5eKrJtKnf89WmlnTpJSYXg/lW9ZjBfZdpGFUlFFeUYZmdxDTvRe6K6rRxRGaplG4M/zduEU7C2q12tDQ3VHEdOtF+ZYNTSfuNY3Y7n3QnK6It0zoyIpzisJ+zSjJK8E0zbBbgRiGyVnnnBr04pfaHE4H/Qf1QUpJtx5d+McDN3Lr3deydcsOKis8xMXH0r1nFobfj1lWjM2ewMqf/gxrngBb/thMSqcEjLIiotI749m1A2mFtgDHHhuPZu84lZB69u4Wdmz3nlktOBNFUVqTlBJpSSzLYuea7VSWVmJ32cnomUl0QgyWaUVkAa2iKEpHoZL2iqIoiqIoinIAEEJDc9iJ7dWf8k1r602w1OZMSSMqU50kDZW0LGK69aJ0/ao6iyOsgB8auMvdGZ2bTGa1JsuyWDxnYaMJ+9q2rtjC+w++w+QHL2l0nJQSb15OcAn7PUFU7NhCfJ+BjQ6zTItz757MlNtewe/xNzq22ql/GUNCemJE7mfTMGuShmbA4I/vlvHHd8tI75lBevcMnNFOAt4ARdlFbPlz8z4JxkjsWheaRu/hfVi3MPRds8ldUkhIT2yFWTXNMAw2b9zGJedcT3lZRaNj83MLueqCW3hx6uMcPGwQNputzR8flmXx9hsfhhX7zhszuP/ft4UUEwgYNeXTG7usKdKyMDyVlG1cC7LxJK0V8FO6fg1xvfqhu9wN7gwWmsAyw0v4QtXrQu2/nxACe2w8cb0H4MnZSaC0uJ4bFTjiE3Gnd0JzOFXCvpma8/cDkKaEMCu+22w6hx89gi5dO7F9686QYkePOQ53lIvfFv3B8JEHo+kaulunb/9eVfOyLCq2b8FfUohms+NOzcDvDe69pz5+rx+h6fgLC4jK6IwzORVvXnZIx3ClZSCl7DCP2S5dOzFs5BCWLFwecuyEyWeE9TqlKErbskyLsoJSFn46n2XfLMVbvqdaidA0+o7sx8gzD6Pb4B4RnKWiKEr7ppY1KYqiKIqiKMoBQggN3ekivt9gorp0Q3dH1R2gaTiTUojrO4joTl07zIng9kRoGprDQVzvAUHtgIvKzMKdlhnR+9r0G3w3NbSdiZuXb2L1LyubLM3tLcgLfT6eSgxPRaO9iXWbTnLnFC7595XEJMU2OA6q+gWffv1ZHHraiKBK+rcGm92GXk+yIWdjNsu//Z1Fsxbw+1e/seWPTfXuCI7ErnXLtBhxxmFhxQ47bUREyrZXJ7Cuu+zOJhP21fw+PzdedRd+X/gJuOaQUjJ75pdhxX7x6TcEAkZQY03TwuPx8uE7n3Le2Ks5btg4jhs2jkmnX8UHb39CZaUn5IRr+eb1TSbsa0iLss3rGp+jYRIVH9XomMZExUfvs8tbCIHuchPTrRcJAw7GndEFZ0oazpR0ojKzSBhwMNFZPVTCvoVEx0eHHWt3ObA5mpeUDQQM/nbrFSHFuKPcXH7tZL6d+zNXTLqRF55+Y99BQoAApKzZEe9oRssSh9uJtEykZeLJzcad0Rl7bPCVjaI6ZWGLiulQj1m/P8Cki8eHHBcbF8PYcSd36IR99fuhz+OjJK+E8qIyLNPEMq1GP+u0NCllm96ecmCxLIs1C1bzv7/+lwWf/FInYQ9Vi5/WzF/FW/98gznPfRJWKxylbViWhWVZGAGDssIySvNLCPgCSCmxgqzYpyhK+DruJx5FURRFURSlSdW7UvJzCygsLMam66RnpuGOciGlDLsEqdJxCSFACJyJybiSUrECfizTqNqJb3fUlBZWwldV1cBBfP/B+EuK8OXnYlSW77neZseZlIIrOQ1hi+xXMtMw+f2bpQTC2DG4ZM5CBh51UL3XSSkJlJUgjfB2iHvz84ju0ngpXd2mk5KVyvWv3cyKH/9g8ZyF7Fy7veb6uNR4Dj1lOMPGjMAZFdmS11JK+ozoy+pfVoYcm5CeQHKX8Po0N4ema/Qc2ou07unkbs4JOi4qLoqho4eh29r+/cU0TL7+4keyd+aGFFdWWs7M6XM475Lx2Nu4TH5pSTkV5ZVhxXq9PooKisjolN7k2DdenMarz79dp0c3QGF+Eav+XMt/HnuFK6+7gKv+dlGTx5KWha8oH2kGt2CgJs4w8BcX4EhIrne3vdAEBx07hMVzFoZ03GoHHTek3pK71c99YbfjSqnbiqQj9AMPhrSs3Unlqn9H6vdKSE8kvWcGORtD2zUOMPCoQViW1azFVXa7jdPOOJFdO3L4z79fbnK82+3iqRcfICkpgesf+QcAL/33TWJio7noynPrzMWVko6/qABpmhheH90Gd2fT7xvCmmePg3siAz4AvLm70BwOYrr3pnLnNnyFeQ22cxC6jahOWTgSkjpUwh6qKiGcdNqxjDpyGAvmLQk67pa7r8WSEsMwsEX4M1OoTMNEaIL1i9eyaNYCNi/fWHOdK8bNwScewogzRhGfltBqf09pWQhNw/R5MT2VVYvbbDbs0bG12ol0rMeS0v6Ypsmm3zcw89/vB9UiZencJQghGHPdmW0wOyVY1Ytf87fmsfDTX1nx4x811b6EptF3VD9GnlFVKUG1OVCU1tOxPu0oiqIoiqIoQTEMAyTMnf0t09/8iOVL9ySK7A47J485lgsuO4fBQwd0qNKaSsup7heu2R0dqidqR1F9/zriEnAmJCHNqh11CA2xe7FMe3je6Tad3+c2cPJcCJxuBwG/gVXPruktf26mOLeYhLSEfWN397oOl+XzBnX/aLqG6a1kwBEDGHLCUHyVPnyVPuxOG64YN5ZhYAV8CE1E9LVOWpIRZxwWVtL+kFNHYJlWZJLgpsn591/E67e8TFlBaZPj7S4H591/UUTmClUVDaa/+VFYse+//QkXXTmxhWfUNCvM/t/VDKPp+Efv+y/TpsxodIyn0sOzj79Kbk4+dz3490bHCk3DF0YVDaiqvuFMSq33Ok3T6DKgK6nd0sjbEtrCi879skjr1vTihf0lSQ8gpYUQGqbfj7+4oKbtje5w4EhMich7jWmYDB8zkjnPfRpy7MgzD2+ROQhNcNk155PVrTMvPjOF9Ws37TtGCEYdOYwb77iKTl0y+OvFt7Nj266a65974lUmnD+WmNjomvG6y40rLRNv7i4CJQUceupwfnr3+5CrimT26URm706Url9dc1nl9i3IQICoTlm40zPxFebjLy7EMgIIIdAcLpzJKTjik2rm09H8uWw127fu5OmXHuTGq+5i0a9LGx0vhOCWu6/lrHNO5YF/PMG/HrujjWbaMkzDpKK4nGn3TiV/276vl95yDws++YUFn/7KEROO4oRLTm7R26/eUe8vLd5n8SiA0HUcicm4UtLR7I4O+ZhS2g8BfPr0R0El7Kv99sViDjruYLr0z1LJ33ZAWlWVOD79z0z++G5ZPddbrPl1FWt+XUXXQd2YdO8F2J12NLUJRFFanEraK4qiKIqi7GeMgEFebgFXX3AzWzZt3+f6gD/AZx9/zWcff82YcSfx0JP/RNc1dbJGUVpBdYJI6HpNAqW9KdxZUPOz3Wln0LGDGXbaSDJ6ZtTMv6ywjOXfLOW3LxZTklu8J3ZHfv1Je2hwp2AwZJAltz3ZO2r6ANuiYtDdbmyajuWzKC/wEygrASmxRccQ26MPksi81mm6RreDupPRK5PsDbuaDtjNGe1i2KnDI5YEtyyJ7rJzyeNX8vHjH7J91dYGxyZ3SeGsWyaQ1Dm5DWdYl9/n57dFofdLBtiyaTvZu3LJyExrenALio2LwWbTMcJoJyCEICEprsHrAwGDOR992WTCvrb3pn5M/4F9OPOcUxssR20ZRtiLckxPJZZpoOn1H9s0TI6adBwfPfZ+8AcVgqMmHYNpmBF7rrQ1KSWmx4MnZ2fV69xeKrN34IhPxJ3eqU1L/+s2ncHHD2XeBz9SnFMcdFzPQ3uT3iOjxeahaRrHjz6S0acfx28Ll/PZJ1+Tn1eIrut06ZrJ+Emn071nFr8tXM5F469l6+YddeJ9Pj8fTvuUCy4/t+Z5IIQgKqMzAN7CPBL6ZTDw6IPqTW40ZsQZh+GvqNgnierJ2Ym3MA9XUirOpBTcaZl1rq9apNFxP6vnZudzz62P8sgzd/Pi1Mf5YNos3n/7Yzau21JnnK7rHHPi4Vx0xbkcfOgg/nnTw3z/1bwOlbS3TBNPWSVv3PpK0wvepOSXD3/C8BuMvuq0Frl9KSVISfmWDfW+PgBI08SXn4uvIJ+Ybj2xx8Z36MeXsq/qinvVpc5tNltVGxxBi7aLMg2TVfNWUFkSXFui2hbNmk/WwK4tNhelGQR8+Mh01s5f3eTQrSu2MPXO17nksSuxC7FfLYjcn1VXrDFNE2TVZzbDMLEdIJ+dOxKVtFcURVEURdmPGIZJcXEpF599HTnZTe+C++zjr/H7/Dz5vwfaYHaKorRH1X2sDz/7KI4892hsTjurfl7B/I/m4Sn3YHfYyeiVydDRwzhiwlGs/nUVc579BG+FFzPQcKKxOaX/tSZipZR487JrEvYARmX5PkmQmusqyinbvIHYHn3CnlNzmabJpHsv5PWbXwpq17rNYWPi3ZOxuyJXCUMAk8ZexT0P3cylj13JjnU7WPr5Ijb+vgFfpQ+H006nfl0YNmYkPYf2YuO6zZw75kreeO8/pKS1ffK+sjL86g4A5aUVkNn0uJbkcNg59qQj+OaLn0KOPfLYkcTENNxD3G638cZL00M+7psvT2fC+WMbvL66p3e4pGlBA+cHdZvOwKMGUbjjBH5459ugjnfS5afQe1hfhHZgJJyklPhLiqjYtqnhxVFS4i8uJFBWQmz3PuhR0W2WkBOa4IIHL2XK7a9SUVz/a3JtGb0yOefOSc0ujb83u91OWWk5xcWl3PzPa4iKjgKgqLCYr+b8wC1/vZd1qzc2GD/j3dlc+pfz97ncnd4JZ0ISgYpyTr1mLLs27CR/a3CVJ4acOJQhxw+lfGv9tysDATw5O/Hk7iKqU1eciXtaSVRX8Omo7A4bAX+A2667nwsum8DkyyYw+dKzWTz/d9asXI/X6yMuPpajjz+MjE5pzPt+AZefdyPLlqwgNi4m0tMPiabrfPLkjKDe66st/PRXeh3am+4H92yRxUeNJezrkBblWzYQ26MvtugYlbjfD1iWRWVFJR+8M4sZ785i25adSCmJiY1m9OnHceHl59C7X88WK2+u23SWfLYorNg181fhKfMQFRfV7Hko4TMNkyWfLwoqYV8tZ1M2X736OaddewbqVaP9y83OY9qUmXw64wvycwsBSE5N4syzT2HyZRNIz6y/CpYSGSppryiKoiiKsh+x2XTuve3RoBL21b7+/Ec+fv9zxp59cpv38lUUJfKik2I46txjGXryofz8/g8snrNwn90ya+av4qfp39Pv8AGcfMWpXPr4Vbx99xRik2PrPabQNBzxiVTu2EZNk+UQOOITa/qw1kdaJp6cnSEd0ygvJVBajD2u9XrHNkbXdaLiorji6b/wwcPT2bFmW4Nj49MSOPv2iWT2zoxY2cmAP8DcOd+xZeM2prw8nYTkeHr37UHm386sk1iTUiItyc4d2Ux5+T22bNzGu1M/4q83XoqtgZ3arcXpbN4CB3eUq4VmEjzLsph82TlhJe3Pv/TsBvs8m6bJ74v/ZNP6LfVENm7zxm0s+nUph44cgl7P46+5ycOmdmQJIThq0rHEpcTzwzvfUJpff+IrIT2B4y8+mYFHHXQAJewtjMqKxhP2tcebJmWb1xHXeyCao21KYOs2nbjUeK545hpm/+djNv6+od656jadQccO5rS/noFu01o0YV9t4/ot3HTVXUBVeyjLtKp2mAVh25ad9S4kEEKgOV1oTheWaXHJv6/k/QffYdvKhiuRAIw4YxSjrxqDJ3cX/uLCxm9cSqyAP6h5dhQ9e3cHqt4z3n79Q955YwZHHjuSMyacwqCD++N0OSkvLWfu7G95/+1P2bZlT/WDbj26RGjWoZNSUrSrkE3LGl4Q0pCFs+bTa1jzFhdKaeEvLgouYb8niIrtm4nvd1CzbltpH95+7QOeffxVfL66ryHlZRXMnD6HmdPncNTxo3jihX/hcDhaZJdt9sbgq0jVZpkWeVty6Da4R7PnoIRPt+ksnrMg5Lg/v1/OyVecisPtbIVZKc0lZVXLg0fu+w8fvP3pPi25CvIKeeOld3nzlfeYcP5Y/vng3xEtXIlDCY9K2iuKoiiKouwnpJRk78xl3vcLQ46dPnUm4yeNaYVZKYrSnlmmyRk3jKProO5VJREXNLzDwjItVv28gu2rtnHhw5dywQOXkNqt4VLiQrdhj08gUFIU0pyEruNISG44YS8tfAX5YZXf9xbk4YhPDDmupeg2HXdsFJc9cRXZG3aycNZ8Nv62Hu/uXeuZfTozYuwoeg3rs3sHVOTKFdoddqZP/ZgLrziX2+/9Gz98/QuPP/Aca1ZuoGuPLsTGRlNZ4WHn9mySUhI5/5Kzuf/ftzFwcF9efvYtrv37ZW0+Z3eUm+69urJ5Q+PJs/okJsWTntH2u0x0XWfEYUM5dMSQkEr7Dxzcj6OOHdVgstqyJF9//kPY8/rq8x84ZPjgenfEC5sNYbcjd/dQD4VmdwTVKkQIwUHHDWHICUNZt2gNy75eSmlBCQJBXGo8Q0cfSq9Dq54nB0rCHqoWTHh2bQ/p9U+aJp6cHURntV1SRLfpRMdHM/mBiynOKWLR7AXsXLsDv9eHK8pFz0N6c+iYEbiiXIBstdK6gYCx52d/aI9Xy7KQloR6pla9+EG36TjdTi7595Vs+XMzi2bNZ+2C1TUVbJzRLg4+8RBGjB1JYmYylbu216kQ05j9rU9wVrdOdV7npJT8/P0Cfv6+6UTROZPPIBAIdIjFxdKSLJw1P6zYDb+tpySvhPjU+LBvXwgNX0FuyHGW30egvBR7TJzabd9BSUvyv2fe4MX/vNnk2J+/W8Bl517Pmx8+h6aJZifpjBBfX2vze8OPVZrPMi22rthM4Y6CpgfvJeALsPTL3xh++sgDpj1RR3P73x7gyznfNTrGsiw+eOdTCguKeOp/D7bRzJTGqKS9oiiKoijKfsIyLaa/+VFVH8MQrfpzHSv+WMOAQX3UylpFOYAITaPHwb347IVZjSbsaysrKGX6/W9x1X+vbbK0pjs1g0BJMaHstnelpEMjJ4yF0PAVBl9NpDajvBQr4EezR67kfPVJrbQeGZxxw/h9Eo6mYSKEiPjJL9Mw6dOvJ7ff+zee/r8XeeOld2uuKy6qu4MvJzuPe297lJ+++5VH/3MPPq+PbVt20r1nVpvOORAwmHjBmTz2wHMhx46bOIZI1fc0TZNnX3+ES8+5nnVrmt6d2b1nFi9OfRxLWugN1JnXdY3i4uBLM++ttLiskcegxJWUGnK1CwBncipVrwdN39nVt99rWB/6jupf57r28jxpS1JKTK8HozL0vsH+kiKiOndF6G13GrD6bxOflsCJl46u815hGmatv13rPfFSU5PCjo2Niwnq8VX9e2UN6ErXQd0wDRNfhRdN13BGuZDSIlBcSMnaFZje4Ft42OMSGn0v7GgC/gDnXTI+pMVJUPV3GDt+dIdI2EPV42Hrn5vDC5aSzcs3Mvi4g8MuWx7uawSAryAXR2z4CwaUyDEMg8Xzfw8qYV9t1Z/reOiup3jwyX80+/ZdMW48pZVhxarS+JFlWRabl28KO37ris2MOutwYM97u7fcg9/rx+aw4451Y5nWAfV5rT0IBAzefXNmkwn72r754iemvDydi644t82rpSl1qTOyiqIoiqIo+wndprPstxVhxy9duBzDaF6fWkVROhYhBOVF5SyduySkuKLsIpZ9s7TRRUJCCHR3FNFdugd9XEdCEu70Tk3u8rL8vqCPuTfTF35sS9I0rd4dwu3lpJbX5+Ouh27ixf+8WSdh35ivPvuBe257lEuuPo9w2iI0l03XGD/pdNzu0Mrca5rG5EvOjtgJEl3XcUe5eOvjFzjr3NNwNFDm3+6wM2bcSbzz6YvExEXXW7q+mrRks9oFOJyOfcpoVhNCq0q+h5pQFAJnUmrI5fXre060l+dJW/MV5ocXKCX+ogJkA3/T1iSE2CcB2VJ/v6r2HFad/2rr1jOLXn26h3XsU884AdMM/v7SdA0hBDa7jeiEGNyxUQgBpWv+pHLn1pAS9rboGHSna7/a8SxMPyePOZZRRw4LKe6Wu69F62DVNPye8D9n+Ct9SBne81RKieEJL3EKYHqCf4wq7YvNZmPqK++HHPf5rG8pLSlr1m1blkWfEX3Dio1OiCazd2azbl9pHgH4PeG3Y6mODfgDLPv6N16+/nmeOP8R/nvZkzx1waM8f9XTzP/4F7wV3poqNErrs+k6706ZEXLcu2/ODHvRmNJy1F9AURRFURRlP+JpxsmWykoPkUiyKIoSOaZhsnjOgrASOUs+W9Rk4kUIgSMxiZjuvdEcjSQQNQ1XWibRWT2arBYSTjWRvY7QzPgDg9vtorCgmJf/G/yuLYDPPv6a3xYuJ6UZO1zDJS0Tp8PGg0/eGVKy6/b7/kZKejKWEbkSrTabDZfLyb8eu53vFn/ETXf+haOOH8Uhwwdz1HGjuP62K/l20UweeeZuoqLc9faxr82yLPr07xX2fPr069HoyVWh24jq1DWkY0Z37hZUaXylfkKI8BcsaRqEuFiiPatOalqBAN78HCp3bacyezu+wjykadb0cQ0EDCZdNC6s27jg8nOav9FdiLBasrhS0sNO3LZHUkosn49ASRH/ffVhhh82tMkYIQS33n0t4849Dc+O0FueRFJz+js7opwhL2yqoxmPm+Z/vmp/LNPaZwFa7bYZ+4OaFnk/hN4iL+AP8P7bn2A08z4ZecbhYcUNPXmY+lQeYRJwuJuxyHN37HNXPs1nz88id3NOneuLc4r57s2veObix1g1b0VV2xmlVRmGwbwfF7JjW3DteGrL3pnLj9/+imHsX6+THc3+84ldURRFURRFISo6/PJy0THRiEjVBlYUJSJ0m86f3y8LKzZ/Wx45m5s+GSCEwB4bT3y/wcT06IM9LgHd6UJzOrFFxxDVqSuJA4fW7LBvKtkqhEA0kbBsjGbrGCV2I80yLWZMmxVWBZb33vqY6OjoVphV44SmU7ltEyedegyPPHMXdkfjf2tN07j9vuuZfOkEPNs3I7TIJpQ1TUPTNGLjYrjoyom8MOUx3pzxHC+8+RiX/uV84hOqeg03tsO+mt1hZ/zE00KuOgDgcjkZP+n0Ru8/IQTOpBSiOncL4oiC6C7dcCQm71c7hzsC3eUmqlNX4voNxpWciiVlTQKroyaupJQYlZWUbVpLyerleLJ34CvIxZefS+XObRSt/J2K7ZuxAgFsNo2zJp5GRqe0kG7j2BOPoGfvbi3SMiqqUxZ6VPCvh67UdOxxCc1L3LYzQgiE3U7lji0IXyUvv/Mkd9x3Pd177bvwR9M0jjvpCF5/7xkuvPwcKrdvxvCUR2DW4bFMi66DgnldrIcQdB/So1m7HJvTAkPbjxZVVb++rV65jvvveJyLzr6W88ZezV8vvo1PP/wCn8+PuZ9UmDMMkx+/+TXsRRfzvl/YrFLYmqaR0SuTrIGhPe7tTjvDx44K6jON0no0TaP74B5hx3cd1I2i7CIqihp/nTb8Bh898SErfvpD7bhvZVLCj9/+Gnb8T9/Ob8HZKOFQzQkURVEURVH2E0bAYNSRw1iyILwE3FHHjVS9qxTlAFRWGP7J8NK8UtK7ZzQ5rjpRZ4+J3adfqrQsRAiJESkljvgkfAW5oU0W0J0udJc75LgDkc1uY8a7s8OK/erzH7jn/24hJrZtE/did8uB8i0bGD3mOIaNOpjpUz/mo/fmUFhQXDMuNi6GM84+hQsuO5tOWZmUb9mA6fOiN1YNoo3Z93o/3vvfwXC5XZx65gl89N5nIcWdcsYJREU3/TypTtzbY+Pw5efiK8pHmnuSIELXcSam4ExJQ7M7VMK+maSUaCH09XZndsGdmsH2rTuZ9vyLzPn4K4oKSxBCkNEpjXHnnsaki8eTmBTfYf42Ukr8xYVUbNtMg1VTdrcCCJSWENuzLzabg5fefpLLzr2+zutAQwYN6c9jz92HZVnNTtoLIZBAXM9+lG/dSKC0kdsXAndaJu70Ts26zfbKFhVTs7DKmZLOOeeN4YLLz2HJgmWs+nMtXq+PuLhYjjv5CNIyUvEWF1G+aR1GZTnO5FSklB3icSo0wcgzD2fxnNB3Pfc8pBfxqQnh3/buRZJoGoRRQcken9hh7ufGGIbJmpXrefCfT7Lqz7X7XD/vh4U89X//4/xLz+a6v1+ORLbIAp1IkdKirCz8z/Jlpc1fFGOZFufedT6v3/wSxTlFTY7XbDoT7pxEVLzqZx9pmq7R/eCeJHVKpnBnQUixdqedg086lF8+/Cm4ACmZ9cxHdB/Sk5jEmDBmqwRD1zXKSyvCji8rLVeLaSJMnZVVFEVRFEXZT9jsNiZdNI6Xn50acom7YaMOpluPrFaamaIo7Vl9fdWDpemhxda3czCUhH01V0p6WEl7Z3IaUlr71Q7G1uLz+cnNCa9/thEwyN6VS+/Y8HfuhMOyLJxJaZRvWU/5xlXEJ6dz7d8v5bpbLmfTui2UlZUTHR1F915d0XUdo6SQ8vWrMH1eojp3DXkBSUdw051/Yf7PS9i1I6fpwUBGpzT+/o9rmhwnpcTv9VNWUApAcucuuDM6Y/q8SNNE6Dq6s2qXf8GOAoQmiEmMxeEOPXlf33P2QH0eOxJTgupr7+7cHVtcPP+46SE++/jrOjswpZTs2pHD/56ZwivPvcWlfzmfG26/qjWn3SKktAiUl1GxbVNw402Dso1rieszkC5dO/HurJe597ZHWTDvt3rHO5wOxpx1Enc99Hdsut5iSbzqxH1s996YPi/e/Fz8RQVIq2qBi+Zw4ExKxZmUut+3j3AmpeDNy8aXn4MvPwd/bDyD+nRhYP/uIERVaXe/l+LVf9RpBeFKSY/cpEMkhCCpUzLdh/Rk8/KNIcWOOvNwLNNsdMe7YZi7K65oVVUnDLPuoi4hcCYk4yvMC3nuruTU/SBhb7B4/jKuv/xOfL6G+3SXlZbz8n+nsmn9Fh5//v62m2ArEAhcYVTVqeaOCj+2mqZrOKOcXP7UX5jxyHS2/Lm5wbGxSbGcdcs5dB3UTfXObidMw2T46SP58pXPQ4o76Lgh2Bw2fv+q/vfVhm5r8ZwFHH3ecU22WVPCY1kWrma0aXFHubAsSyXuI0gl7RVFURRFUfYjCQlxjD79OD77+OuQ4i668lyMgKF22ivKASghPYH8raGf3AVIzGj7vuVCCHSnE0d8Iv6SpnfzVNPsDpxJyQdkoi8czS0b29z+qOHQNA17XDy604Xp81K5axtk78CRkEiXlGhEWhzSMjHys6ksLqxJmgmbHWdiyn6XsNc0jdjYGN54/79cNflmtm3Z0ej4Ll078fK0p4iNi2k0YSmlxAgY5G3J5Z27pxDwBYhJjOGES0eTkpWK3WUn4A2QtzWX7978ivKicuwuBxc+fClp3dOx2W1BJYaqE83+4iL8RQVYgaoEjOZw4EhMqekV3h6TTIGAsU91hPouC4UQAnt0DLrLjen1NDjOlZaJIz6Ray+9nV9/WtzoMQ3D5NXn36akuJR7/u+WsOfWFoTQ8OzaHlKMNA28uTuJ6tyN1PRkXpn2NNu27GDaGzNY8ccaPJVeYmKjOfLYkUy88Kya6iAtlbCvfgxXP0Z1p4uoTllEdcqiqlJAVUuYA2ERihACV0oa3oLcml3ggbISAmUljcbZY+NrFgB1FJZpMu7WCbx204uUFZYFFTPyzMPpNaxPg9cHAgY2XWfhL0v4cs73FBWW4HDY6dWnO+deeCZJyYk11SFcqen4ivKraiQHyZGQhGZvP9VmwiGlJGdXHjddfVejCfvavvrsB/7z75e54far0TtoAlm36QwdNijs+EEH98c0zWYn6HSbjivaxUWPXE7u5hwWzvqV9YvW4in3YnfayeiZyfCxI+k7qj/Skiph347oNp0RYw9j8/JNrF2wOqiYtO7pnHT5qfz+1W9UloS2q/v3L5dwzPnHhzNVJQjSkhw0dAAfTpsVVvxBBw/AMlXSPpJEuP1OFKU+QoguwDaAbdu20aVLlwjPSFEURVEOLJZp4fX5uGjctaxbE9zujgsum8Ad99/QyjNTFKU9Mg2ThbPm883rc0OO7dyvC5c9cXUrzKppUkqQkrJNazEqmi7rKWx24nr1Q3M49vvESEuxLMnI/qPxB3nie29fzf+Q9MzUFp5V06RlYQUClG5YjTQCTY4Xmk5Mz37YXK52mbRviVLFRsDA7w/wwTuf8P7bn+6TvO/StRMTLzyTiReOw+GwN7mAz7IszIDJs1c8FdKJ2uiEGK5/7WY0mxZUUtSbn4snZyfSrH8BiLDZicrohCMxpd0k7i3LwuvxMXP6bGZ/9BV5OfkIIcjsks74iWMYO340uk0P+0SotCwCZSWUb9lQ/wBNI67fYJ5/6g1ee+GdkI798FP/5NQzT2zWwoLWIqXErKygdENwyYQ6NI3EgQcjNL3mWHvvIGvugoq9VSfhA+VlePNzMD2VVZdpOvbYeFwp6ehO535RijwUUkoC5aWUb14fVEJZd7qI6z0ANK3D3U+mYVJeVM60e9+kYHsj1TGE4IgJR3HCJSc3erz33/6EKS9NZ/vWnftcp+s6x550BLff+zfS0lPQbTr+kiIqtgb3XVB3RxPXqx8I0eHu59pM0+TR+//Le1M/DinOHeXmuyUfERXVsdsnTRxzJatXrAs5btb379C1e+cW/dtLy0Ky7wIo0zDV7up2SloSKSWfPjOTP79f3ujYroO6MfGeC8jesIt375sa1kLfa1+6kaROyeFOV2mC3+fn+OHjQ25/ER0TxXdLPsblCn+n/oFm+/btZGXVVC3NklKGtsK0Hippr7QolbRXFEVRlMgzDAOPx8uNV97F4vm/NzhO13WuuO4C/nbLFW03OUVR2h1fpZenL3oMwx/azuizbp7AwKMPitjJt+rvspU7t1XtKGugf6s9Np7oLt0QNptK2IfAsiz++feHQ67cAlU9od+d9VIrzCo40rKwjAAVWzdiVDacVNZdbqKzeqK7nO3msVH9uJaWiVFRXlNq3hYVU1M6O9wT69WJyWVL/mTH9myklHTOymTosINCSlqaAYNl3yzls+dD38Ez9oZxDD7uYHR7468blbu2483LDuqY7vTOuNIy2kWy6fknX2fqK+/h8XjrvT42Loa/3XIF5196dti3IaXEl59bVUliL87kVOypmZww/GxKS4Lb4Vut38DefPD5a2HPqzVJKanYvgV/UXgtO6K6dMOZkNwmC3OklJieSsq3bcLy1f84gN3vTV17IDSt3bz+tAUpJUZlORVbN9VUz6iPPS6emKyeHTJhX800TIQmWLtgDYtnL6hTLt8V4+bgEw9hxBmjiE9LaPR3fPiep4NKRCcmxfPKu0/Ts3d3dF0jUF5KxfbNyEDDC9gc8YlEZ/Xo8Al7AK/Xx/HDxlFRXhly7B3338DEC89ql4uWghEIGMya8QX33/F4SHEjDj+E16Y/0zqTUjqc6oVkOZuyWTRrPn/++AeGr+r1Q2gafUf2Y8QZo+g+pCdGIMCT5z9KwNf0Atn6XPH0NWT27tSS01dqMU2TJx96gbdf/zCkuPMuGc8d912vdtmHQCXtlXZPJe0VRVEUpX2oLnG3fOlKpr0xg68+/4GAv+oLVXJqEmefdzrnX3I2ySmJHf4EjaIozSMtybwPfuT7t78JOqZT3y5c8u8rIr5bpub7rLTwFRYQKCtBmiZoGjZ3FM7kNHSH44DbzdgSLNNixR9ruOCspvub7+2BJ+7k9HEnYbfbW2FmwakuExyoqMBXmIdRXoq0TISmY4uKxpGUiiM2rl31sa9O9nnzc6paP9Q+XyMEjrgEnCnp2KKim/14tnYvcgm3DPgrN7xAzqbgkuq1ZfbuxBVPN/yYktLCX1xIxbbNIR03plsv7LHxEf1b3nvbv/n4/c+CGnv1DRdz3c2Xh/13lFISKC3Gk7OzTqn8qB79+OLzn7n3tkfDOu60T19k4EH92mXZ4tKNazDKQ1uIUM2Vlok7LbPVHx9VCekKyjaurerP3gTN6SSu1wCErh9Q71HV792BslJ8BbmY3kqkJRG6jj0uAVdKGrqjfVYisCwLJHWeI00teqreXezz+PCWedDtOlFxUYBAaA0ny03T5M2X3+OZR4NfBJeSlsSMuW+QmJSw534uLcZXkIfh88Du+9kRn7hffUayLIuvPvuB2667P6z4ocMPYuqM51t2Um3Msixuuuouvv/6l6DGJybF8+6sl0nLSMFm65iLFZTWUf0Z0TItPGUepGXhjnFjc9qRloWm65imySPj/hX2baid9q1LSonX4+PC8X9l3ergqq707tuDtz9+AXeUu8O/J7Sl1kjaq1dkRVEURVGU/VD1ythBQ/rxyH/u5v+euYvKCg+6TcftdmEYhvpyrigKAEITHDXpWCpLK1n46a9Njk/vmcH5/7qoXXyZr5mD0HEmp+BKSau5rvZJ6PYw145G0zUGDx3AiMMPYdGvS4OO65yVyZizIpuwhz3JaN3trqq0UOsxUN1eQUrZbhL2AN68bDzZDfSdlxJ/SRH+kiJcaZlEZXRu1m01p2d3ZWllWAl7gF3rd+Kt8OKKrr9HtRAantzQj+3J3VXT476tGQGD6VM/CjphD/Dyf6fSf2Bvjj3pyJpkX+3EX+0SwoZhYttrgZQQAntsPI74RIyKcnxFBVhGAFdsLPN+WBD27/L917/Qt38vHHo77G3dnD1HbbRhSZom5ZvXBZWwB7B8Psq3bKgqTX4AqX49tsfG4oiLr3Nd7c1l7em92wgY2Ow2Nm/cxrtTZrJ21QZ8Pj/xCbEcf/JRjJt4GnaHHX13MkurVSFAt+kEAgZOtxOnO/iSw4ZhhtzmIj+3kLdf/5C/3nRpzXc9e1zCPq+P+9tnJNM0KSosDju+ML+o5SYTQU+++AB3XP8AX3/+Y6Pj0jNTefntJ0lLVwl7ZV/VnxE1TSM2KbbOddVVn3Rdp3O/LuxYE3p+MjohhoT0yHxmO1AIIbA77Lz+3n/468W38eeyxtsLDRzcjxenPo7D6dgv3hM6OvWqrCiKoiiKsh/Ta5XSjYmNrrlcfTlXFGVvo686jU59u7Dg43nsWr9vz9TohGiGjh7GUROPRbfp7W4n5t7lhdUJh+YzTZNnXnmISydcz7o1Te/SSElL4pVpT6G1o/u+vuS0EALa0Ryryp3nNJyw34s3dxdCCFxpmRF5nPs9vmbH15e0l1JiVJQ3WlK8IaanEsNTie5q+91Bmq4x9dX3Q457/X/TOOm0YzECBkITfPflz0yf+hHLfltBwB/A6XQw6shhTL7sbA4/agSGadbZzVu94ESPiiaqVvWF8rKGW0I0pby0AqG1n+dGbVozFgI1JzZYUlr4CvKqqr2EwKgoi9hjN9LqawvQHu8DI2CwbcsO7r/jcZYu/mOf63/9aTHP/Pslzr3gTG668y8UFZbwxIPPsWZlVWI/ITGO40cfxcQLziIuoSoB1tTvGQgYzJ75Zcj9iAFmTp/DX2+6rObf9d1We7yfm0MgmlXO2dZBy+LXVr1Q5KkXH2TBvN+YNmUGP37zK2at16Refboz6aJxnDXxNGw2237xeyuRYRomw08fFVbS/pDRw1DVv1ufzaYTExvNWx+9wNef/8j0N2eyZOHyOmMOGT6Y8y4Zz8ljjkMIVFn8duKAfWUWQgwHxgBHAQOBVCAA7ATmAa9JKX8O4XinAVcDI3YfKw9YBLwspfw8yGPYgCuBC9Z0aaQAAGtDSURBVOD/27vvMKeKt43j96Rt36V3pIMiKh0VFWwgooKgImLB3hV792fvvvbeQFEEpYpYUbFLUVBsCILSe92aMu8fyWJYtiTZLNny/VxXrj0nZ2YygZw9e/LMPKO9JaWH+vOppCettb9G2E49SVdIGiypZejpZZKmSHrCWrsxknYAAAAA1Cz79O6oTn3205olq/Tn938od0eu3EluNW7TRHsfvI+sVcJT4mPPcTqD2VnemPKs7rrxEX38/ufy+XYPSBljdOAh3XT3ozepdp1afAkcJev3KWd1dF965q5dJU/tunK49/yMGHdS+QKgpdUv2Lop5nYLtmxSSsMme3RAhs/n0zdfzNaaVeuiruv1+uQt8OrXX/7UNRfdrvXrdv2qJj+/QF9+9p2+/Ow7tWzdXE++cr+aNW8sl9sla60CgYCcxaRVT45iJm9RKanJlfKLdGutPLXrqmBLDJ8PY+TZI+vZG+VvWh9TzbwNa5XWrGV8u4O48Hp9+vO3xbpgxNWlDojJyc7VmBfHa/GfS/Xky/epQ8d2mjE1uOzQin9XaeGCP/Tc46N1/JB+uuWeq+V0OkoNjrjdLr038aOY+rxx/SZ999UcHdK3V7ULzpfE6XKqVdu9Yq6/V4vyZa+pLAr/v7v3OkC9enfV5k1btXL5ahUUFKhuvTpq0apZmcs5AJFwupzqeGgnffrqh8reEvlgQYfLqe7H9eR+cg8pvM4c2f9Q9T/ucK1ZvU5rV6+XtVaNGjdQoyYNgplk+P+oVGrkb2hjzJeSDi3mkEdSu9BjpDHmdUnnW2sLSmnLIelFSecWOdQ09BhsjHlZ0oXWlpwfKxRon6Fg0D9cawUHA5xljLnMWvtyGe+tl4LB+UZFDu0XepxnjBlsrZ1dWjsAAAAAap7CL1AatGqkens1kDFmZwpVByPvaySXyyWHcej+J27VDXdcrvFvTNX3X83Vjh3ZSklN1n6dO2rE2UPVtHljll6JgbVWeRuiD/hKUv6GdUpp3CzOPSpbamaaMupkaPum6NcXz6yfpeT0lGKPGWNkfb6Y+xXw+aIK2AcCAZnQmtK7PqeIA7wOh0OffDAr2q6qdp0sPTP6Qc2ft1AXn3W9CvJL/NpJkrTs7+UaMegijZ3ynBo3baivZ/2gnO05SstIU48DOwezKVnJHwho3/321swPv4q6T5K0X+d9yrV0QkUxxsidnimHJ0mBgugyPXiyau9M51uR/Hm5CnhL/38siXfblhoTXK1qtm/boUvOuj7iDBbfzJqt+//3hG6992qNf2OKVq34b7kPn9enyeNnaNmS5Xpp3GPBv61KOd/WroltEIgkrV29Xn6/v8Zck40x6t6rs5q3aKrl/0SWtSbcyacPqlZ/wxT+PV+7TpZq19l1CQoC9oink24arrG3jpbfG9nfb8dfMVipmWllF0RcFQ6obtS4gRo1blDsMVQeNfV/pEno5ypJ70j6StK/kpySDpJ0jYIB9zMluSWdVkpb9+q/gP1Pkh6StERSG0nXS+qi4Oz59ZJuLq4BY4xT0mT9F7CfJOklSZsk9ZJ0q6QGkl4wxqwsaea+Maa5pPcUnOnvk/R/kqaHDh8n6WpJjSW9Z4zpZq2NPn8JAAAAgGrP4XBUysANEqNwKYTadWrpvEtG6KIrz9p5zO/z7zxeXb7s3tPyN22Ird7mDQkJ2gcCAXXp311fjvs86rpdj+mugD9Q7Awra225ZslHGvQsXC9+7d9rNOe977X8939VkFsgT4pHLfdvpZ4nHKT6ezWQ3+8vM02ow+HQ1s3bdnnO6XSq79EHq3efXqpVO1OBgNWWTVs186Mv9f3X82St1UmnHa+kJI9GXXBrmQH7QoXBw+mz3lTdurXlkFF2dq5Gv/i2tm3driHDBmqfTu118ukn6LknRstb4I2o3UINGtZTn6N6y1nJlj75j1VKwybKXr408irGoeQGjSuuS2ECvuj+vcNZv3+XNcZROfh8Pr01eqK2bN4aVb0pE2boolEjddJpx+vJh17a7fhPc3/RnTc8rHsfK/Zr4p3K83kIr+vz+eRwOLRt6w55CwqUnpmulJTkahWkloJZEU45/QQ9eu9zUdVr0qyRDunTq9IuDQJUVk5XcF37EXefpQn3vKW8Hbkll3W7dNwVg9Spz/5c64AyVJ8rc3T+UDCAPtFaWzS33/fGmDcUTJHfXtJwY8zz1tovizZijGkv6drQ7lxJh1lrC387zTHGTJM0S1J3SdcZY1611i4upj9nKZimX5KetdZeGnZstjHmA0nzJGVKetIYs4+1trjhS/cqGLCXpNOste+EHfvKGDNP0ngFBwDcI2lkMW0AAAAAAFCsorMxSG9ZPtbvl40x2FdY17g9ce5V6Zwup7oN7Kmv3/lSAZ9fxuFQu57t1blfN9VpWldJyR7l5xVo44oNmv/RPC2eu0g2YIP1BvQo+TNjrZxJu691H3G/kpKlMgL/fp9f2zZs1aSHJmj1X6t2OZa9Rdq8epN++mie9tq3hYbccIpSMlLL/Ix7koL//mnpqRpxzkk6ZcQg1WtQR8t//1fZm3ZIRurYto1OOWOQli9bqfFjp+qkESdoyjsfRL1e9crlq/XFp9+qS/f9tGblOmVmpWvkBacqJSVZn3wwSyuXr9FRxxymowf00Yypn0bV9kmnHS8bCEhRBu19Pl8wQ4ExO/+fK2JNVGMc8tSqo0BBgXLXRjCT1hilt2gjZ1Jy3AIEBfkFwfcpyUhye/5b6sE4yvGejSGIUQkZYzTp7ellFyzC5/Nr4lvvadiZJ+q5x4sfQDNj6qcaddOFqt+gbontNG3eSCv+XVXi8dJ07ravHA6H1q/bqHGjJ2nS+Pe1acPmncd79e6q4WcNUZ+jesvaQLUI3rvdLp165omaPvkT/flbcV+/787hcOimO68MZiVwVP1/A1QdgUBAAX9gl6xmVfFvaofToaYdmunK0ddqwac/ad6M2Vr/738ZpLLqZ6nLMd3VbUAPJaXG73oMVGemMq5VVRkYY45TcNa6JD1lrb2imDLPSro4tHuQtfb7YsocKOm70G7RgHxhmd8k7aPgzPrm1tqcYsrcKOn+0O4pRQLyMsY0krRSkkPSR9baY0p4Xx9K6i8pIKmptXZNceViZYxpJmm5JC1fvlzNmu35Uf8AAAAAAFQFAW+Btvz+c8z1szp0KlegO1YBf0DzP/lR6/9dq16DD1atBrX17azZmvvDAmVn5yg9PVXde3XWQYf10OZ1m/XDpG/UuG1T7Xf4ATszMxTbrs+rLb/9LCnK76qMUa2OnUtdxsPv82vzms0ac/1Lyt1e8mywQhl1MnT2oxcorVZ6iV+ke70+vfLMWE0cN13Pjn5QTZs11oJPftSPH8zR5jWbdylbf68G6nZsDx1wVFe5k9w6rs9p+ndZ9Gmce/XuqpfeekxD+5+tv/74W8nJSTrmhCM1fOQQtW6zl7Zu2SaPx6NTj79gl9Tcpdm/6756dfwT8oQFocvi9frkdDr05WffacG8X5Wbk6f0zDQd0reXOnfrJK/XK7c78vYiZa1VwdZNyl27WoH8vGLLuNIylNq4mZwpqeUOEBTORl6zap3en/KJNq7fJKfLqeYtmuq4If2UnJQUjOAHAtry2wJF/dmV5ExJVVa7juXqZ1VkrZW1dpfMPoWZMCqDud/P1znDroypbqu2LTR15usaNvB8/b5wUbFlzr/sdF181dnFBsy9Xp8+nv65bhp1T9Svfd6lp+uK68/XS0+/oWcefVWBQImrtapl6+Z6/o1HVL9hvWqRNt3n82v7tu06/7Srtej3JaWWdbmcuuOh6zVwcL9KnGEE1U3h77iVfy7XX3MWKT8nT+4kj5p2aKZ2PTvsHPxWFRW+t5xtOSrIzZc7ya3UzDQFAsVnWAKqgxUrVqh58+aFu83jkd2coH0JjDFpkgqHPM+w1g4sctxIWqFgqv0/rLX7lNLWH5I6KBhUb27D/tFDs/X/DO0+b629uJgmCoPyq0O746y1pxU5foGkF0K7p1prx5fQzqmSxoV2L7TWvlhSv2NB0B4AAAAAgMjYgF+bF/4Uc/1aHTvLkaAZkoWBoDdffVdvvz6l2HWE92rZVMPPGqLhI4dIUpnLblhrteOfJfJu2xJVXzy16yqtWctSA7R+r0/PXPiEtq0Pprr2pHi0T+99VadJXXmSPSrILdD65ev0x7e/yVcQTG5Yb6/6uvDpy0ptd/PGLdq2dbtSXB6Nv/NNbV1Xet+PuWigmhzQQsf0HhbVeww3d9EnuvPGR/TepI92PudwOHT9/y7XsDMGye/3a/PGLbrg9Gu1dPE/pbbVrdcBevrVB5SckhTRDHm/3y8bsHrthXGaMHaq1q7efd3tdh1aa8Q5J2nIqQOLaaH8bCAg43DIu2O7CrZsVMDrlYyR05OkpLr15UxKlrUBGVO+QJzf79fCBX/ohSfH6NtZc3YLfqakJOvYQUfp0uvOVd26tWP67EpSatMWSqpTt9z9rSoKAzubVm3UnOnfa+3fa+Qt8ColPUXteu6tA47qIpfHJZPADASBQEAfvfe5brjirpjqZ9XK1FcL3tP5p12tH76ZV2yZlm320rTP3iixDZ/XpyN7DtHmTZGn5+/Wc3+9Mv4JPffYaL3w5JiI6tRrUEdvT39JderWqhYz7n0+v7xer954eYLeeXPabr+jXC6nDu93qM695DR16Ni2QjKDACVZ8OlP+mHqt1q3bO1uxzLqZqrrMd118EmHyhhT6iBHAJVDRQTtq/6VuOIkhW0XTaEvSa0UDNhLwRT4pZmlYNC+qaSWksIX4DqkSLliWWvXGGMWKZiyv3cxRSJqp8ix3pLiGrQHAAAAAACRMQ6nXGkZ8mVvj7quMyUtYQF7a60C/oBGXXCrvvzsuxLL/btspR688ynN/u4nPfrcXTKm7HW7U5s017bsHbL+4lYF3J1xuZXaqGmpZfw+vxZ++Yu2rd+qOk3qqsfxvdTp8APkdDm1bMm/ysnJU620VPU68WAdff4A/TxzvuZO/0Eb/l2vJfP+UqvObUqcJZZVK1OOgPTatS9px6ay/x+9BT5t3bwtovdW1AHd9tWJwwbK7w/okqvP1qBTBuivP/7WxLfe0+JFS/XA/4Kz5U846RjVqVdb73zwit6f/Inefn3ybrN9e/XupuFnnai+RwW/YookOBAIBFRQ4NUlZ16nebNLzhDx159/644bHtKPc37W3Q/fGPe1ok1o8IcrLV2utPSdn6nwiUnxCNh/MHWmbr/uAfl8xX0tKOXm5mni29P1xcxvNf2LN5Vcr0HUQXvjcCqpds0K2G9dt0XvPz1N//yydLfjf/+0RJ+N+URd+nXTUef0lzW2zME+FaG8qaoLl5Lx+Ur+PbZ545ayOqHLrztfd930SMSve9GokVow79eIA/aStGHdJl1/6Z0a/e5TEdepzFwup1wup8656DSdd+np+uaL2Vry11IVFHhVq3aWjj62j2rVzgrO/iVgjz3o/aem6qePix/EI0nbN27TrDc/05J5f+m0u86UK8mdkN9/ABKLoH3J+oRt/17M8fC8VX+U0Vb48X20a9A+2nbaS2pujEmz1mYX087W0lLeW2tXG2O2ScoM9QUAAAAAsIcVzjTM3ZGrgpx8uZLcSs1IJYVkDWNtQEl168cUtE+uW3/njOM9zRijm6+6t9SAfbjPP/5at1/7gO57/JYy23W4Pcpo3V7bly6SLSXgJUnG7VZmq/YyLlepgwGcLqfmvv+DOhy0jwZdM1Tr127Qs4+/pikTPtDWLf8F0OvWr6Mhpw7UKSMGqfPRXTXx/vGaM/0Hte3evuQ+OIxmvvpxRAF7SfLle5WcnFR2wTDHDjpKIy88VXvv206///qXpk38ULk5uUpLT9Ohh/fSiLOHau738/XS02/owTue1FED+qhW7UxJ0nFD+unEYcdqxb+rtG7tBjkcDjVp1kgNGtaTz+eLaiafMUajzr+l1IB9uGnvfqjMrAxdd9ulFTJjumib8XoNr9enOd/9pNuufUB+f/EB+3Ab12/SnTc+rIee/p88teuqYPPGiF8rteleUg1Z49fv82vD8vV64+bXlLej5CUqvHkFmj3tO61btlbD7zxDNoLBPvFmjFHrti1irr9Xi+BAoo0bNpdYpqzlKFwup4YOP04bN2zSM4++WuZrdumxn3oe3FXXXHx7dJ2V9OOcn7XojyVq065VtVnjvnDgxMF9eqjXIV0lG/x9XbhsBwF77CnWWn025pNSA/bhVvyxXBPueUsj7h5ZsR0DUClV/StwBTDB4a03hj01oZhi4Xnfy0p5sDxsu3mRY7G0Y0L1/gw7VthOJOkXlkvat5i+lCmU/r40jaJtEwAAAABqCr8vmFr6l8/na+6M2Vr7939jrjPrZarrMT3U7dgeSkpNJi1mDWCMQ56s2sr1JClQkB9xPYfbLU/tOgmZnRvwB/Tn74v14XufRVVv+uSPdfZFw9WmfctSZ44ZY+RMTlZWu32Vt2GN8jdt3G3WvXG5lFS7npLrN5JxOsr8d8jeskOZdbM09MZhmvjWe7rv9ieKDcZuXL9JLz31hsa8OF53P3KjTr3jdI274w35vL6dAaCicrfn6I/vi5vrUbwtazar114HKzMrQ9u2lh7oN8bomlsv0ZnnnaLpkz/WPbf8n37+6bfdyhx0aHeNOOckPff6w3r4rqc1ZcL7GnH2SXJ73DvXqW62VxM126vJLnWjCcz5fD59//U8fffV3IjrSNJbr03UyAtPVYOG9aKql0hut0uP3P1MRAH7Qh++95kGDztWBx3SXbJWBVs2lVkntWkLeWrVSVgK+D3Nm1egt25/vdSAfbhlP/+tGU9P0/GjTqzgnhWvbYdW6rhfB/32y59lFy5i6PDj9Odvi7Vsyb8llmndruxBAcYYXXDZmWrXobVeefZN/TJ/9981qWkpGjj4aF1726XavHGLvvjkm6j7K0njXpukm+4epXk/zFfPg7tWm6C20+msNu8FVVPO1mx9P/nbqOos+3mp/pq7SG26tmUwL1DD8A1A8a6S1DO0PclaW9wwqIyw7R1ltBc+Iz69gtspq43wdoq2EYnlZTzmxNAmAAAAAFR7Ab9fa5eu0ZPnPKr3n562S8BekrZt2KYvxs7U42c+rF8+X7BLqmdUbxmt2ss4IwugGqdT6a3aKziePwFMcB37WLz52rtSBB9rYxwyLpdSGjVTrY77K71FG6U2aa7UJs2V3qKtau1zgFIaNZXD5Ypo4EJ+Tr4GXTtUk8ZN1923/F+ZwdiC/ALdeMXd+vyTb3TSTcOUn1v8gAq/z68fP5irQAnp04vz+7e/KeAPaNDJA8ose/m152n4WUN0w+V36eZR9+4WsJeCM/i+/XKOLh15g5548EXdcMcV2rplu9xlzOKNlsvl0lujJ0ZdLxAIaNzoSaWmCS8va23cfl/6/X79NPcXLV60e+r2slx3yR3y+/1K36u10lu0lSs9c/dCxiFP7brKbLevkurUqzEBe7/Pr3kz5ih7SyRfW/7n58/na/um2JaTKC+v16thZwyOul5WrUwNGHSkvvr8+1LLnTxikLzess8L4zA69IgD9ebU5/Xuh6/qvEtP10mnHa/TRg7Vrfderc/nTdHNd49SUpJHc76fX+JyDmWZ+8N8eTxuPfHgS/rkg1nyx9gOgP/4fX7NfX+2bCAQdd25078nYA/UQMy0L8IY00fSA6HddZIuLqFocth2QRnNht/dpVRwO2W1Ed5O0TYAAAAAABXA7/Nr3bK1ev2mV+XL95ZZ9r0nJstaq/2P6MyM+2rOGCOHx63Mdvtoxz9L5HC5lVSvoYzLI+N0yAYCst4C5W9cp0BBvtJbtJHD40lYsM/r9emj6Z/HVPeDqTN1yz1XRfSZ/u/9Gbkza0mFQVljon7vqVlp2rxpq+67/fGI61hrdes192vmD++WmM7e6XJq7bISVygsVkFuvhZ+vkCnnjFYY195p8Rgc7ee++u8y07Xrdfcrw+mzYyo7deeH6fUtBRdes05ys8vUFKSJ6q+lWbzpi36dlZs8zQmT5ihK2+4IG59kYKfQ6fTqV/m/6Y1q9bJ5XKqZevmatO+lbxe384MA9FyOByaOG56THW3b9uhD6bO1LGDjpI7M0uerFryF+TLl5MtBQIyTqfc6ZlSKNNETQnYS5LD6dCPH0b/+bEBq7nTZ+uwEYfv8dnSTqdTx514tCZPeF/z5y6MuN61t14iWalB4/ollqnXoI6OPObQiN9TYUr3th1a6aI2I+VwmODvDqudA3R8Pp+ys3Mi7mdRO3YE66akJuuWq+5Th33aqkWrZqypDZSD0+XUgk9/jKnu3/P/1o7NO5ReO5Z5lwCqKq66YYwx+0qarOBghjxJJ1tr15VQPC9su6y7oPC7u6I5oOLdTiR3ZIXtRJaPalfNy3j0iKFNAAAAAKjWjDF65963ygzYh5vxzDRt37SNGfc1gDEOOdxupbfqoIxW7bRq6QZ98+43mjn6U339ztdasWS9Mlq2VXrrveXwJCUkLX6hzZu2KD8/kvkCu8vNzdPWLZGt/R7OGCPjcAQfMQQ6XR6XJrw5NeoZqLk5uZryzgeypbymLz/6GeRz35+txk0batSNF5ZYZvjIoZo/b6GmvfthVG2/8MSYUtfRjtWaVesUiGGmoCRt2rBZBQWR/+4rjdfr0/ZtOzTmhbd17KGn6owTL9F1l96hqy68TScePVKnHneB3p/8sbxeX1Tp7QsZY7Ry+eqY+7dy+Wr5/P6dn1OnJ0merNry1K4rd2YtGacz+HmuQQF7SVr110ptXb81prq/fvlLQtKb5+fl67uv5+rJl+/T/l06llneGKPrb79Mxw3pp4lvT1e/Y/sqI3P3YJvD4dBt914T07Xd4XDI43HL5XLJ7XbvklHD6XQqLS32+VmFdXOyc+Qt8Or1lyZElBkFQMkCgYC2bYgxW4i12rp+S1z7A6DyI2gfYoxpJeljSbUl+SWdaq39spQq4XeZZQ13SgvbLpoHKt7tRDL0qrCd6HJSSbLWrijtISm6IeYAAAAAUM35fX79+f3vUX9pF/AHNOe9H2QDfGte3QWDN0Y/fjBHz170hMbeMlpfT5ilOe99r28mfKm3bhujZy54XHOm/yBZxZRmNW59LefnMRF9Nw6jSW+/H1PdCWOnljhr2wasUjKiD5JtWL5e7z81VWdfNFxX3XThbgHc+g3q6oj+h2jCG1Ojbtvn82vSuOlxnx0ba8C+UDwGH3m9Pi37+18NPvJMPfnwS1q1YvevoH775U/dft2DOvvky5W9IyemwH15PuN+/+7/ToVB+poWqA+3fWP0g3UKRZtSP17m/rBA1178P/380296+e3HddVNF6lp88a7lXM4HOpz5MF6edxjGnbGYN086l6NefFtJScnqWXr5ruUdblduvvRG9XnyIPlcsU3Aa4xRt16dY55gEOXHvvL7/dr5fLgeTVjyifKyy9+aRAAkSnvtc8Wc00BUL0RtJdkjGki6VNJTRQcQ3iOtbasO6MVYdvNyigb/hfa8ji0Y4vUC2+nrDbC2ynaFwAAAABAnDldTs2d/kNMdRd8+iMz7WsAG7Ca+MB4ffTiDG1aubHYMptXb9Knr3yo8Xe/qUAgfmt4R6tW7cyYg0Iul1MZWRlx7lHZ1q/doI3rN8VUd9nfy5WTXXyiwkAgoA4H7RNTu798vkBb1m7WWRecqikzX9cppw9Samim69HH9lVOdq4+nvFFTG1PHDc95vTwJanfoG7MddPSU8udqt/n82ntmvU6d9gorV9X/DkS7uefftP5p10tXwRrhhdVrxzvtX7Duqq5ofmSOcuxzIsjAWs6BwIBbdu6XXl5+bryvFv0whNjdOzgo/T+l2/puTEP6eqbL9IlV5+jm+66UjO+GqenXr1fPp9f5w4fpQ+mzdS2rcGBBukZwXlTniSPjh/SX29Pf1HHDjqqwpa9qVe/jg494sCY6p565mAZY5SWniopmBnlmy9m8zcIUA5OpzOmwX2FMupmxrE3AKqCGh+0N8bUk/SJpNahpy631r4eQdXfwrb3LqNs+PHf49DOcmttdgntZBljGpXUgDGmsaTC3/ZF+wIAAAAAqAD//vZvTPVyt+dqw4r1ce4NKpv3n56qP779reyCkhbPXaSpj05M2KzdlNSUmINCh/c7JK7rrEcqNyev7EKlyMstvr7T5VS7nh1i+lK9UZvGqtWwthwOh1q0aqab7rpSn8+bonHvvaAzzztF69duVEGMyxCsW7uhxD7HqkGj+jqg274x1R04+OiYZryHc7lcuveW/9OWzZGnWP994SK9+txb8kYRuPf5fBp44lGxdFGeJI/6H3d4hQVkKzNr/xtIZK3dLaNG3eb1Ym67TuM65epbLBwOh1JSkiVJfr9frzz7pgb0HqZrLr5d+fkF6nFQFx014DDtvW87zfzwS51w+Om68PRrNH/uQknaWXfoacfr/idu1RfzpujuR29U23atKizVf8Af0NrV63TayCFR192v8z7ad/+95XA4VK/+f//eW7dsK/e5C9RkAX9AnfruH1PdJu2aKqtBrfh2CEClV/P+igxjjMmS9JGkwoWJbrTWPhNh9aWSVoW2+5RR9rDQz5WSlhU59nXYdonthALx7UO73xRTJKJ2ihwrrh0AAAAAQBz5CnzlSgmen0162urKBqw2LF+vBZ/+FFW9375eqNWLV5Y7ZXks/D6/Tjt7aEx1Txs5NCF9LpztGqvUUtaJtgGrnidEP4jhwBMPkd8XDIY5HA45nU4leTxq36GNkp1ueb3lWwM+3oE2r9en4WdFHwyUpBHnnFSuQSbWWq1auVbffjkn6roTo1wqwBiHDjviYDVu2jDq1+p3bF+lZ6TVqDT41gbPZ1/ODuWs+lfb/1mi7OVLlbd+jQKhz7C1VnUa11WzffaK6TW69O++81zZkzodsM8unx2fz6+ZH36lURfcquHHX6ghR4/UWUMv08N3P6Nlf++azLTjfsGvcA8/qreOOf4IpWekyeFwVOiAjoC1+uvPpep5cFedfeHwiOvVrpOl+5+4VQsX/CFJcrvdO48lJXlq1OcZiDfjMOp5/EEx1e02sFdCfvcBSKwaG7Q3xqRKel9S19BT91prH4y0vg0OHy1Mob+3MabYO7TQ84Uz5KfaIjmFrLWL9N+M91NC/SrOyLDtycUcnyap8M737FK6XthOIFQHAAAAAFCBXB6XTDnWl05KTYpjb1CZWFnNnvZdTHVnT/teJgGJuJ0upw7s3U1de0Q3c6zHQV3UrdcBFTbLtDT1G9bbbW3pSO3fdV8lh2bNFsfpcuqgIYeoU5/I/z0OPLG3OvXZT86wtN+BQEAFeQV66cpntWDmT8rKij0lrsvtUkpq7Ol4i+N2u9RvYF+169C67MJhjj62r1q12SuqwHlRfn9A48dMjilN97q1G/TlZ9/KF2Hgw+l0yO/z6cIrz4rqdVJSknXOxafJyCTkM54I1loVbNmsrX8u1PYlfyp/43p5t25WwZZNyl27Slt+X6DtyxYrUJAvv8+v7gN7Rv0aSalJ2v+IzrucK3tKg0b1dHCfHjHVHT5yiPw+v9we9x77PLhcTtmA1SP3PKurbr5I519+RpkB96bNG+m1d56S0+nU4w88L0natnX7zuN779uuxnyegYpgjFHtxnW0b5/9oqpXb6/6u/2dAKBmqJFBe2OMR8HAd+/QU09Ya2+NoanHJRX+1f+UMWaXO6LQ/lOhXV+ofHEeCf2sI+mhYvrbRtJNod3FKiZob61dI+nN0G5/Y8xJxbRzsqT+od03QnUAAAAAABVsr46xzTBMyUhRvWaxpxVG5WYDVr988XNMdX/7+teY1uuOB7/fr6deu1/t92kTUfl9OrXXky/fp4B/z8+yl6S83HydPOKEmOoOO2Ow8vJKz3ZhrdWga4bqoCGHyFnKWvKeFI+OGNlPR53Tf7djRkafvPSBNq3cqH8X/qPGzRpq3/3LWkWxeEf2P7SCBnQYvfDmo9qrZdOISnc/sLPuf/yWcmdXcLmc+vP3xTHX/2PhXwpEkXnAk+TR4JMH6MIrIgvcJycn6ZHn7lSTZo3kT0AmiUTJXbtK2cuXyp9f8lIM3m1btG3x75Lfp46HdFKLTi2jeo0jz+6XsOUGfD6fRpy929erZWreoqkOOrRHQoJtvQ7ppmnvfqh7b3tMl1x1tqbOfF2nn3OSMjLTdyl3QLd9dd/jt2jqzDfkLfDqrKGXqefBXbVh3UYtWxrMGtDpgL3Vbu/oBukA2J21VieMGqJWB0R2PtVqWFsj7jpLCRiXCaASqJFBe0njJPULbX8m6RVjTKdSHu2LayQ0S/7h0G53Sd8YY4YZY7obY4YpmH6+e+j4w9bav0rozxj9l6r+UmPMu8aY/saYnsaYyyR9q+A69AFJV1hrS7orv0VS4WKH44wxDxhjDgk9HpD0VujYekmxDFIAAAAAAETJ7/OrWwwzDCXpgKO6SqSmrbbysvPkzYtt3XK/16ecrdlx7lFknE6nUlKSNXbyszp5xAklzupOSU3RsDMGa8zEp5WcnJSw4JvX69WgkwdEnSa/foO66j+wrxxlnIPGGBljdMTIo3XVG9friLOOVv29Gig5PUUpGSlq1Kax+l80UFe9fr0OPPHgYtsoyMvXr1/9Ikla/ts/WrN0tYadMSiq/hYacfZJCtj4B49dLqdq1crUuPde1PFD+suT5Cm2XEZmukZeeKpeHPuoXC5XuWbZF8rPj+082Vk3it+jPp9fO7Zn6+KrRuqeR29Si1bNSizbrdcBeuXtx9Wl+37yJHnkLmXQRnVhrVXexvXKW7c6svJ+fzBwbwMadvsINY9wENvhZx2tLv27J+z3hsvlUu8+PTX4lGMjrpOU5NGDT90ub4IGVDkdDg06eYDGvz5FJx9zrn749kddes25+nzuZH3w9duaMvN1fT53st6Y9KzatGupe297TKcPvlibNm3R0FOP06Tx7+8cDDZ85JCEvQ+gOjHGyDiMht95pg4+6VAlpxf/N5PT5VSnPvvr3McuUmpWGlkugBrKxJJaqqozxkT7pv+x1rYsoS2HpJcknVNK/VckXWBtyXdMxph6kmZIKinvUr6ky6y1L5fWUWNML0lTJDUqocgaSYOttT+U1k6sjDHNJC2XpOXLl6tZs5JvbAAAAACgpvD7/Hr6vMe0feO2iOs4nA5d/NwVymyQxRd31dSOzdv1+JkPl12wBJe+NEq1G9WJY4+iEwgEJCvl5edr8vgZ+nH2AmXvyFFaeqq69+qswaccK0+SR8YoLoHb8vRz86Yt+uuPv3Xp2TfKW1D2evEpqSl6edxjqle/TtTrm/t9/t1m2Rb3XPixOe99r09f/Wjnc10H9NCR5/TT4KPO0srlkQVHJalL9/00ZuLTUfU3WgF/QDJS9o4cvfPmNC1c8LtysnOVnpGug/v00HGDj5bT6ZTD6YjbethXnn+LPv/465jqjrrxQp1+7knyeIofZFAcr9enLZu3KBCwatiovr79co4+mDZTGzdsksvpVLMWTTXk1IFq276VlixapmZ7NZbL7aoRv6uttdry+8+yvrLPo3BJdRsqpVFTWWs1+73v9eMHc7R59aZdCxmj1l3a6KAhvdVyv9YyjsQPWgv4A7r7lv/TxHHvlVouIzNdT758nw7o1kmuBKW0ttZq3Zr1GnzUWcrekSNJSktP1eFHH6IGjeopOTlJ27Zu14Iff9Uv83/fWe/kESfo5rtHacAhp2rNqnU6pG8vPf3qAwkbMAFUR9Za2YBVIBDQr7N+0ZJ5fykvO0/uZLeatGuqrgN6KDk1WVY2oX8zAYjcihUr1Lz5ziW4mltrV5S3TYL2kSkxaB/W5rGSLlAw6F5P0gZJcyS9YK39IMJ+uSSdL+k0SftISpO0StJMBVP4/xphO/UkXSlpsKTCfi+VNFXS49bajZG0EwuC9gAAAACwK7/PL2++VxuWr9fYW0fLlx9ZoGPgZSdovyM6y+Fw8MV5NeUr8OmhYfcqEOF62+GMw+jacTcrKTWpAnoWPW+BV26P+799r1dut7uUGnuO1+vTtHc/UP/jjtBvCxfp+kvv0KaNW0os37BxfT3+4j1q3LSRvv96ro4+tk+Fv5eJD4zX79/897WPK8mtMx84V16HXyNPuUIb128qpXZQq7Yt9MakZ5SWnrrHgsdF/58r4v/d6/Xq/cmf6PbrHoyp/ntfvKm9WjaNegCBz+uTz+fT7O9+Unp6mvbr0nHnTPrsHTn6cc7PSk1NUZcewbWKa0KQxdqACrZuUfa/f0dd1zicqtXxABmHY+cglqXzl2j1ktXyFXiVnJasDgfto6z6tUod5JIoP839RW+9NlEzP/pql6VJGjVpoJNOO17DTh+stPRUuRKcbcHn9enHOT/rsrNvLHNpD0k66NDuevrVBzT21Xf12P3P65C+vfTYC3fL7XEn9DMdjFlYyUoKZTMBqouiv+Mq4+88AGUjaI9Kj6A9AAAAAOwu4A8oPydfG1as1zv3jis1rbnT5dSAS47X/kd0Vs72HKVlpfFldTVlrdWkhybo968jGqO/i3Y9OmjY7SMqoFfV05bNW3XxWdfr8RfuVq3aWfr4/S80/o0p+vmn3yQF09d263WAhp0xWEf0P1SrVqzRdZfeodcnPaPk5IofGDHujje0ZN6uqyqm18nQ6feNlNcGdPv1D+qHb+YVW9fpdOqI/ofqzoeuV3JKklyu6peivaDAq8O7Ddb2bTuiqtf9wM56dfwT5Xptr9cnt9ulpUv+1aYNm+V0OtS0eRPVb1hXPp+vWv57l2b70r/k3b41prppzVvJU6vOzmtawB8IZuwIcbqclfZ65/f75TAObdu2Xcv+Xq683DzVqpOldh1ay+8PVKqlEXw+n/74dbHuvPFh/fnb4mLLJCcnaejw43T1LZfoo+mf6Z03p2nYGYN1zHFHSAnMjmJtQMY45M3eLn9urmStjMsld2YtmVCfKutnBABQsxC0R6VH0B4AAAAAduf3+bVh+XolpSUrNTNVv876WXNnzNbav9fsLJNZP0td+3dX537d5Enx6J9flqpNt3Y1YvZmTeX3+bXyzxV6/cZXoq47/M4z1HL/1szMipDf59cnH87SHdc/rAHHH6FhZw7W3vu2k9/vV052rlLTUuR0OrXgx181/vUp+uyjL/V/L9yjngd3qfCgrLVWUx55V79++ctux1IzUzXo2qFq06Wd/lmyXG+/MVkLfvxVOTm5Sk9P04GHdtew0werfsO68vv91TY9u9/n17OPvaqXnh4bVb2nX3tABx/aI+Gzn6uTrYt+lT8vN6a6KY2bKblug53BV1ScwsEmCxf8rnGjJ2vxoqUqyC9QrdqZOqL/oTpx2EClpCRr2dLlcjqdatm6uXxeX8LOFWutZK3yN65X3qb1CuTn7VrAGHlq1VFy/UZyJiUTuAcAJBxBe1R6BO0BAAAAoHgBv1+r/lqlRd//rv2P7KJ6zesre8uO0HqWHqXXSlfOthwt+ORHZTbIUqc++/OldA0x9pbRWvZz5Ommm+3dXCMfPr8Ce1Q9BQIBfTzjC9169f0qyC9Qx/06qEWrZkpNS1X2jmz9vfgfLfp9iVLTUvTIs3fqoEO775EguN/n1y+fL9D0J6eUWKZhq0bqOqCHOvXdX0kp/838z96aLX+BT+l1Mqr9MhqBQEBXnneLZs38NqLyl1x9ji68/MxKsS56dbL1r9/kz82JqS5B+z0v4A/sNnO+cBkLv98vh8OR8L81gmt9+7V96V/y55SciUiSZEwwY0NW7YT3GwBQsxG0R6VH0B4AAAAASub3+RXw+bVg5nytWrRCSWlJSkpNljfPq7wdOcpqWFtdB/RQamYqM+xrCL/fL1++T2/c/KrWLFldZvn6LRrozAfOlSfFU21nVVckv8+vHTuyNWHsVL3z5jStWbVu57G9WjbVyacP0tDhxyk5ec+mmfd5fXr8jIeUl51XajmXx6X02ulyJ3tUkJOvpLRkXfDUpXuol4kVCARkrdUDdzypieOm77KueLj0jDRdecMFGnbG4D3bwRpi+7LF8m7bElPdtL1aE2zFbmwgoG1//1l2wD5Mest2cmdkyBj+VgKqOq/Xq/AwpcfjTlxngCgQtEelR9AeAAAAAMrm9/nldDmVvWWH8nPy5U5yK612umzAku68hgn4g4HIgD+gT1/9UD9/tkDevILdyrmS3OrUZz8dfd4AudwuGWP22Mzqws9rSftVkdfrk9Pp0MYNm5WTnau09FTVq19nZ0rpPS3gD+jzNz7VdxO/jqregEuOV+eju1b5/49oWGu1ZfNWjX9jqmZM/VQb12+Sw+FQ8xZNNOTU43T80P5yuZwMaqkA1lp5t23Vjn+KXye9NMbpVK2OBxBkxS6sDSh/4wblrPo3qnoOj0dZHfZjAAhQRQUCAclKubl5en/yJ1q5YrVkpXoN6mjgif1Uu06WAoEA13JUagTtUekRtAcAAAAAIHL5ufn6evws9T39SBlj5M33asHMn/TvwmUqyM2XO9mj5h1bqPPRXeVJ8chaq6/e/kK9TjhIKRmpFdavQCAgY4xyt+dq3ozZWv7bP8rPKVBSqkd77dtS3Y7toeT0FFlryQoRB8H00AG9edvr+ueXpRHV6dR3fw2+5qQK7lnlVdz624kadFGTWGu19Y9fFPDuPrioNMn1GiqlcTOCrNjN1j8Xyl90DfsIpLdqJ3c6s+2Bqsbr9WnDuo167vHR+nDaTOXl5e9y3OVy6vB+h+jCK85S63Yt5apBAxNRtRC0R6VH0B4AAAAAyub3+eVwOrRl7WblZefJk+RRrYa1ZBwOGYeplEGNwtnVNhCQN98nl8clh9NRLWZdJ4rf59ec6T/o01c+VKM2jXXMhQPVuH1TKWDlDAs8+n1+yUhrl6zWhy/O0Ko/V6jvGUfqoCGHVMi/vd/nl6/AqxnPvqffv/lNAZ9/tzIOl1Mde++rAZccJ5fHzWcgDgKBgAL+gKb+30T9/vWvJZYzDqPuA3vq6PMGyFvgldvjlqyq/Zr2qBystSrYsknZyyMbXCJJxuVWVvuOMk5Xpby+ITGstfLnZGvbkj9iqu/OzFJGy3Zx7hWAiuTz+rTojyW66IzrtGXz1lLLJiV59Mizd6p3314E7lEpEbRHpUfQHgAAAABK5vf55c0r0LwP5+qnD+doy9otO48lp6do/yM7q+fxByqrfpZMJZm97Pf5ZRxGi374U3On/6BlvyxV4cKTjdo0VveBPdWp7wEyxhC4jcGzFz6hTas27tx3JbvVZ/jhatiqkZLTU5Sfnae1/6zVl2M/U0FY2vzM+lm6/OWrZRyRB8AK0/AXzowPBAJyOB27BNEC/oDyc/I0+vqXtXHFhjLbrNusnkY+dL6SUpMIGseBDVgZh9GGFes1e9r3WvjFAhXkBv/fUzNTdcDRXdWlfzfVaVxXTz/6il57fpyOPraPzjzvFO29bzuyHmCPsNYqb8Na5a4u+7tp43Ipo3UHOZOSdpsR7ff6ZJwOORwOBfx+WYlUyDWItVYFmzcoe8U/MdV3JCWrVodOce4VgIoS8Ae0ZvU6DRt4vrZu2RZRHU+SR6+Of0IdO7XfLbsOkGgE7VHpEbQHAAAAgOIF/AEt+2Wp3r1v3M4gXLGM0ZFn99NBJ/bec50rgd/n16ZVGzX+rrG7DDAoKjk9RUOuP1kt929N4DYKeTty9cjw+2OuP2rMdUqvk1FmucJsCJtWbdRPH8/Ttg3BmU2ZdbPUuV9X1W1a779MCtbqtWte1Kq/Vkbcj6YdmunsRy6I+X1gdzZgZRVceiA/N5g2NiklSdnbszXlnQ804c1pWrr4v0CXMUZX33yxzjz/FGYyY4+w1sq7favy1q2WLyd79wLGyJNVRymNmsrhdu0M2AcCAUmSN9+r+R/P09qla+TL9yk5PVntD9xHbbq2VcAfYBBYDWBtQPmbNihnZXTr2RdyuD2qtc/+ce4VgIoSCAR0+7UPaNrEj6Kq17XH/hr97lMV1CsgdhURtGdoCgAAAAAAFczv82v5b//q7TvHFptqfBfWauarH0lWOnDwQQmbce/3+bVp5UaNvv4l5efkl1o2b0euxt0xVqfceppad2lDsCVC3gJfueqHz7wvScAf0Oq/VurzN2YWu1b6d5O+VotOLdX3jKPUpH1TLft5aVQBe0la+ecK/T1/iVru14pBG3FiHEZGRlMmzNBPc39RIGC1ZdNWzf7uJ+Xm5O5W3lqrR+99VknJHp08YpCc/D+gghlj5M7IlCezlny5uSrYslEBny+YdSUpWZ46dWUczp1lpeB1pSA3X5+++pF+/WqhfPneXdr88cO5qtWwlnoOOlg9jz9Q1loGoVRrRg5n7OEJ43LHsS8AKlpOdq4+mv551PV+nPOzli75Vy1aNSOjEKo9PuEAAAAAAOwBkx6aUHbAPszM0R9r85rNSlSGPOMwevuusWUG7AvZQECTHhyvgtzIykPyJJcv4JCUmlTq8YA/oD+//12v3/xasQH7Qv8sXKYZz06T0+XUnOnfx9SXOe99T8A+jgKBgBb/+bduv+5BTR4/Q1Pf+UCzZn5bbMA+3CP3PKvsHcXMegYqQOHseWdyslIaNlFasxZKbbqXkurWlyO0fv3OgL3fr+wtO/TKVS9owac/7RawL5SXk68Fn/6omaM/3mPvA4lhjJE7s5YUYxDOk1Vb1gbi2ykAFaKgwKtpEz9Sfn7ZA06L886b0xJ2TwTsScy0BwAAAACgAvl9fv329ULlbI0ykGatZr/3vfqdN0DGuWdnGvp9fi2a/ae2rtsSVT1vvlfzZszRQUMPYbZ9BJJSk9WwVSOtXbom6rp1m9VTWq30Eo/7fX6tXrxKkx95N6LBIs07tlBedp6WzPsr6r5I0uK5i+TNK5A72RNTfRRhpTdfnRh1tYL8Ar3z5jSdef4wuVn7FXuIMUYKnxFfzOz4gD+gsbeO1pa1m3c7lpyRoqNG9lOH3h2VkpbyX51AQNZaZlZWZ8YoqVZd5W9aH329uvV2DhwBULkZSSv+XRVz/RX/rpLTyb0Fqj+uagAAAAAAVCCny6l578+Oqe4vn81XwL/nZ5E5XU7Nnf5DTHV//GguAZYI+X1+dR/YM6a6XY/pIX8pwXiny6lZY2dGnN0hJSNFOVuzZQOxzWKyAavcHXkx1cXuCgq8mjH105jqvvvWtEoTsPd6d59NbQNWPl/5loZA1eL3+TX/kx+1aeXG3Y6dcPUQjRpznTod0VmzPvtOV114q84aepnOGz5K9932uJb8tUxS8Z8lVA/J9RtJUQbfk+rU37n8AoCqoTz3NIm4HwISoXL8BQ8AAAAAQDW2ctGKmOrl5+Rr48oNatiqUZx7VLpAIFBqOvXSbFu/VZvXbFKdJnXj3Kvqx+lyar/DO+uz1z9V7raciOslpSapS7+uJWYzsNZqy9rNWvpz5P+HAX+g3OntHXs4I0R1tnrVWuXmxjYIYuXyNcrPL1BSUuKyHni9XjkcTs369DuNf2Oyfpn/u/Jy85WWnqqDDu2hEWcPVZce+8nr9crtZl3q6s7pcmrejN0Hr51x/zlq0amlRr8wTmNemqCN6zftcnz2tz9pwtip2r9LR91015Xq0LGtXC6+zq5OjDFyeDxKb9FGO/5ZLEWQ/tqdkanUJs13Lr0AoPKzsqrXoE7M9es3qKtAIMDAYFR7fMIBAAAAAKhAPq8v5tnLkiJeUz6evHnlm9GYiD5XVcZhdMotp8kZ4cxoh8upk246tdTyAV9ACz75KaLgR6GcLdlKr50ec3p7T4pHKRmpMdXF7gpiXPO1kLcgcbOSfT6/fpn/u445+BRdfdFt+uGbH5WTnatAIKDt23bo4/c/11knXaZTjj1PG9ZtSmhfsWesXbpGG/7dNf354GtPUotOLXXHDQ/p/+57freAfbiff/pNZ598heZ+P58sDdWQMUbujExltG4vZ1JyKQUdSqrXUOkt2+25zgGIC4/Ho+OH9I856H780P6saY8agaA9AAAAAAAVyOV2lWsGc3J6KV9gVxCXp3wzGT2sax4xp8upph2a6fR7Ryo1K63UssnpKTrtzjPUYr9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      "text/plain": [
       "<Figure size 2400x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4),dpi=200)\n",
    "sns.scatterplot(data=df,x='mpg',y='weight',hue=cluster_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploring Number of Clusters with Dendrograms\n",
    "\n",
    "Make sure to read the documentation online!\n",
    "https://docs.scipy.org/doc/scipy/reference/generated/scipy.cluster.hierarchy.dendrogram.html\n",
    "\n",
    "#### Assuming every point starts as its own cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = AgglomerativeClustering(n_clusters=None,distance_threshold=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_labels = model.fit_predict(scaled_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([247, 252, 360, 302, 326, 381, 384, 338, 300, 279, 217, 311, 377,\n",
       "       281, 232, 334, 272, 375, 354, 333, 317, 345, 329, 289, 305, 383,\n",
       "       290, 205, 355, 269, 202, 144, 245, 297, 386, 358, 199, 337, 330,\n",
       "       339, 293, 352, 283, 196, 253, 168, 378, 331, 201, 268, 256, 361,\n",
       "       250, 197, 246, 371, 324, 230, 203, 261, 380, 376, 308, 389, 332,\n",
       "       306, 236, 391, 350, 274, 288, 313, 231, 298, 100, 295, 210, 248,\n",
       "       187, 390, 373, 266, 307, 379, 212, 357, 191, 314, 208, 249, 343,\n",
       "       294, 374, 322, 323, 362, 188, 296, 369, 286, 251, 229, 244, 285,\n",
       "       349, 365, 259, 213, 276, 215, 222, 204, 359, 287, 166, 387, 291,\n",
       "       220, 216, 260, 129, 367, 340, 346, 301, 342, 228, 388, 370, 218,\n",
       "       255, 327, 347, 278, 271, 258, 282, 318, 273, 123, 172, 382, 363,\n",
       "       356, 195, 280, 239, 364, 267, 351, 186, 257, 277, 299, 127, 366,\n",
       "       234, 385, 192, 372, 292, 233, 270, 263, 133, 165, 161, 198,  97,\n",
       "       315, 134, 207, 147, 175, 262, 348,  98, 214,  48, 353, 177, 325,\n",
       "       128, 284, 275, 182, 184, 145, 344, 321, 200, 149, 240, 241, 235,\n",
       "       226, 160, 341, 193, 320, 101, 224, 162, 243, 146,  99, 185, 119,\n",
       "       219, 209, 265, 221, 335,  66, 121, 316, 319, 254, 264, 124, 336,\n",
       "       304, 206, 106, 148, 368, 122, 164, 131, 142,  95, 173, 194, 152,\n",
       "       138, 157, 110, 159, 107, 312, 328, 225, 150, 211, 140, 163, 242,\n",
       "       116,  81,  93,  96,  72, 189, 303, 167,  73, 115, 143, 132, 181,\n",
       "       141, 103, 170, 130,  49,  83, 309, 120,  82, 227, 310, 151, 117,\n",
       "       104, 109,  57,  75,  79, 169,  71,  84, 153,  35,  47, 238, 180,\n",
       "        74, 237, 176, 190, 139, 125, 135, 156, 108, 171, 136,  53,  23,\n",
       "        67,  94, 113, 112,  41,  70, 174,  61, 102,  40,  64,  65,  60,\n",
       "       118, 223, 137,  63,  86, 155, 178,  36,  31,  88,  87,  58,  54,\n",
       "       114, 111, 158,  78,  92,  50,  26,  17,  85, 183,  80,  42,  69,\n",
       "        32, 154,  51,  20,  76,  34, 179,  68,  39,  59,  33,  56, 126,\n",
       "        19,  15,  37,  89,  62,  77,  29,  38, 105,  52,  28,  90,  46,\n",
       "        55,  43,   9,  91,  18,  16,  25,   7,  45,  27,  44,   8,  30,\n",
       "        22,  24,  21,  10,   4,  14,  13,  12,  11,   5,   6,   2,   3,\n",
       "         1,   0], dtype=int64)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import dendrogram\n",
    "from scipy.cluster import hierarchy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linkage Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "linkage_matrix = hierarchy.linkage(model.children_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 67.        , 161.        ,   1.41421356,   2.        ],\n",
       "       [ 10.        ,  45.        ,   1.41421356,   2.        ],\n",
       "       [ 47.        ,  99.        ,   1.41421356,   2.        ],\n",
       "       ...,\n",
       "       [340.        , 777.        ,  56.40035461, 389.        ],\n",
       "       [332.        , 778.        ,  58.69412236, 390.        ],\n",
       "       [349.        , 779.        ,  75.32595834, 391.        ]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "linkage_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10))\n",
    "# Warning! This plot will take awhile!!\n",
    "dn = hierarchy.dendrogram(linkage_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10))\n",
    "dn = hierarchy.dendrogram(linkage_matrix,truncate_mode='lastp',p=48)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing a Threshold Distance\n",
    "\n",
    "**What is the distance between two points?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mpg</th>\n",
       "      <th>cylinders</th>\n",
       "      <th>displacement</th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>acceleration</th>\n",
       "      <th>model_year</th>\n",
       "      <th>origin_europe</th>\n",
       "      <th>origin_japan</th>\n",
       "      <th>origin_usa</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "      <td>392.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.384200</td>\n",
       "      <td>0.494388</td>\n",
       "      <td>0.326646</td>\n",
       "      <td>0.317768</td>\n",
       "      <td>0.386897</td>\n",
       "      <td>0.448888</td>\n",
       "      <td>0.498299</td>\n",
       "      <td>0.173469</td>\n",
       "      <td>0.201531</td>\n",
       "      <td>0.625000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.207580</td>\n",
       "      <td>0.341157</td>\n",
       "      <td>0.270398</td>\n",
       "      <td>0.209191</td>\n",
       "      <td>0.240829</td>\n",
       "      <td>0.164218</td>\n",
       "      <td>0.306978</td>\n",
       "      <td>0.379136</td>\n",
       "      <td>0.401656</td>\n",
       "      <td>0.484742</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.212766</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.095607</td>\n",
       "      <td>0.157609</td>\n",
       "      <td>0.173589</td>\n",
       "      <td>0.343750</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.365691</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.214470</td>\n",
       "      <td>0.258152</td>\n",
       "      <td>0.337539</td>\n",
       "      <td>0.446429</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.531915</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.536822</td>\n",
       "      <td>0.434783</td>\n",
       "      <td>0.567550</td>\n",
       "      <td>0.537202</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              mpg   cylinders  displacement  horsepower      weight  \\\n",
       "count  392.000000  392.000000    392.000000  392.000000  392.000000   \n",
       "mean     0.384200    0.494388      0.326646    0.317768    0.386897   \n",
       "std      0.207580    0.341157      0.270398    0.209191    0.240829   \n",
       "min      0.000000    0.000000      0.000000    0.000000    0.000000   \n",
       "25%      0.212766    0.200000      0.095607    0.157609    0.173589   \n",
       "50%      0.365691    0.200000      0.214470    0.258152    0.337539   \n",
       "75%      0.531915    1.000000      0.536822    0.434783    0.567550   \n",
       "max      1.000000    1.000000      1.000000    1.000000    1.000000   \n",
       "\n",
       "       acceleration  model_year  origin_europe  origin_japan  origin_usa  \n",
       "count    392.000000  392.000000     392.000000    392.000000  392.000000  \n",
       "mean       0.448888    0.498299       0.173469      0.201531    0.625000  \n",
       "std        0.164218    0.306978       0.379136      0.401656    0.484742  \n",
       "min        0.000000    0.000000       0.000000      0.000000    0.000000  \n",
       "25%        0.343750    0.250000       0.000000      0.000000    0.000000  \n",
       "50%        0.446429    0.500000       0.000000      0.000000    1.000000  \n",
       "75%        0.537202    0.750000       0.000000      0.000000    1.000000  \n",
       "max        1.000000    1.000000       1.000000      1.000000    1.000000  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaled_df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "320"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaled_df['mpg'].idxmax()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "28"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaled_df['mpg'].idxmin()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# https://stackoverflow.com/questions/1401712/how-can-the-euclidean-distance-be-calculated-with-numpy\n",
    "a = scaled_df.iloc[320]\n",
    "b = scaled_df.iloc[28]\n",
    "dist = np.linalg.norm(a-b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.3852929970374714"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dist"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Max possible distance?\n",
    "\n",
    "Recall Euclidean distance: https://en.wikipedia.org/wiki/Euclidean_distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.1622776601683795"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sqrt(len(scaled_df.columns))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Creating a Model Based on Distance Threshold\n",
    "\n",
    "* distance_threshold\n",
    "    * The linkage distance threshold above which, clusters will not be merged."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 252,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = AgglomerativeClustering(n_clusters=None,distance_threshold=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 253,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_labels = model.fit_predict(scaled_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 254,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  1,  4,  4,\n",
       "        4,  1,  0,  0,  0,  0,  0,  4,  3,  3,  3,  3,  1,  7,  1,  4,  4,\n",
       "        4,  4,  4,  3,  3,  3,  3,  3,  3,  3,  4,  7,  4,  4,  7,  0,  0,\n",
       "        0,  1,  1,  0,  7,  1,  7,  0,  7,  7,  3,  3,  3,  3,  3,  3,  3,\n",
       "        3,  3,  1,  3,  3,  3,  3,  0,  0,  0,  0,  7,  1,  1,  7,  1,  3,\n",
       "        3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  3,  4,  4,  4,  4,  4,  0,\n",
       "        3,  3,  3,  3,  4,  1,  7,  1,  1,  7,  4,  0,  3,  3,  0,  0,  0,\n",
       "        0,  3,  0, 10,  3,  4,  4,  4,  1,  7,  1,  7,  4,  4,  4,  3,  3,\n",
       "        3,  3,  3,  0,  0,  0,  1,  1,  7,  0,  0,  1,  1,  0,  4,  4,  4,\n",
       "        4,  5,  3,  3,  3,  4,  4,  4,  4,  4,  5,  5,  1,  7,  4,  7,  1,\n",
       "        0,  1,  4,  0,  4,  0,  0,  0,  0,  1,  0,  0,  7,  7,  0,  5,  5,\n",
       "        5,  5,  4,  4,  4,  4,  7,  7,  0,  1,  9,  4,  9,  4,  0,  1,  1,\n",
       "        7,  0,  5,  8, 10,  0,  5,  5,  5,  5,  1,  2,  8,  7,  1,  5,  5,\n",
       "        5,  5,  9,  9,  9,  9,  5,  5,  5,  5,  0,  7,  1,  7,  2,  2,  1,\n",
       "        0, 10,  0, 10,  8,  2,  1,  6,  1,  5,  5,  5,  9,  9,  9,  7,  9,\n",
       "        9,  9,  9,  9,  9,  5,  9,  5,  5,  2, 10, 10,  2, 10,  2,  2, 10,\n",
       "        0,  0,  0,  0,  8,  1,  9,  9,  2,  9,  9,  5,  5,  5,  5,  5,  5,\n",
       "        5,  5,  8,  1,  2,  2,  8,  5,  8,  5,  2,  2,  1,  8,  2,  9,  9,\n",
       "        2,  8,  6,  2,  6,  2,  2,  2,  9,  8,  6,  6,  6,  6,  6,  2,  6,\n",
       "        8,  8,  8,  8,  6,  6,  8, 10, 10,  8,  6,  2,  2,  2,  9,  2,  6,\n",
       "        2,  6,  6,  6,  6,  6,  2,  2,  2,  8,  6,  6,  6,  6,  8,  8, 10,\n",
       "       10,  9,  5,  9,  9,  2,  2,  2,  2,  2,  2,  2,  8,  6,  6,  2,  2,\n",
       "        6,  6,  6,  6,  6,  6,  9,  9,  2,  9,  6,  2,  2,  2,  8,  2,  2,\n",
       "        2], dtype=int64)"
      ]
     },
     "execution_count": 254,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 255,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10], dtype=int64)"
      ]
     },
     "execution_count": 255,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(cluster_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linkage Matrix\n",
    "\n",
    "Source: https://docs.scipy.org/doc/scipy/reference/generated/scipy.cluster.hierarchy.linkage.html#scipy.cluster.hierarchy.linkage\n",
    "\n",
    "    A (n-1) by 4 matrix Z is returned. At the i-th iteration, clusters with indices Z[i, 0] and Z[i, 1] are combined to form cluster n + i. A cluster with an index less than n corresponds to one of the original observations. The distance between clusters Z[i, 0] and Z[i, 1] is given by Z[i, 2]. The fourth value Z[i, 3] represents the number of original observations in the newly formed cluster."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 256,
   "metadata": {},
   "outputs": [],
   "source": [
    "linkage_matrix = hierarchy.linkage(model.children_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 257,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 67.        , 161.        ,   1.41421356,   2.        ],\n",
       "       [ 10.        ,  45.        ,   1.41421356,   2.        ],\n",
       "       [ 47.        ,  99.        ,   1.41421356,   2.        ],\n",
       "       ...,\n",
       "       [340.        , 777.        ,  56.40035461, 389.        ],\n",
       "       [332.        , 778.        ,  58.69412236, 390.        ],\n",
       "       [349.        , 779.        ,  75.32595834, 391.        ]])"
      ]
     },
     "execution_count": 257,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "linkage_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 258,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10))\n",
    "dn = hierarchy.dendrogram(linkage_matrix,truncate_mode='lastp',p=11)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}