forecasting-gold-with-neural-network-no-holidays.ipynb

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   "source": [
    "# Forecasting Gold with Fully Connected Network\n",
    "\n",
    "This notebook is very similar with the other notebook in this repository, except that this forecast would not use the holiday feature."
   ]
  },
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    "tags": []
   },
   "source": [
    "# Load libraries"
   ]
  },
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   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "import statsmodels.api as sm\n",
    "import datetime\n",
    "import tensorflow as tf"
   ]
  },
  {
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   "id": "8ea31ae5",
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    "tags": []
   },
   "source": [
    "# Load data and preprocessing\n",
    "\n",
    "The data is downloaded manually from [here](https://finance.yahoo.com/quote/GC%3DF/history?period1=1546300800&period2=1705536000&interval=1d&filter=history&frequency=1d&includeAdjustedClose=true)"
   ]
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       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close*</th>\n",
       "      <th>Adj Close**</th>\n",
       "      <th>Volume</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>01/17/24</td>\n",
       "      <td>2026.5</td>\n",
       "      <td>2026.5</td>\n",
       "      <td>2002.6</td>\n",
       "      <td>2002.6</td>\n",
       "      <td>2002.6</td>\n",
       "      <td>46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>01/16/24</td>\n",
       "      <td>2051.7</td>\n",
       "      <td>2054.8</td>\n",
       "      <td>2026.0</td>\n",
       "      <td>2026.0</td>\n",
       "      <td>2026.0</td>\n",
       "      <td>46</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>01/15/24</td>\n",
       "      <td>2051.7</td>\n",
       "      <td>2054.8</td>\n",
       "      <td>2051.7</td>\n",
       "      <td>2054.8</td>\n",
       "      <td>2054.8</td>\n",
       "      <td>390</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>01/12/24</td>\n",
       "      <td>2031.1</td>\n",
       "      <td>2057.0</td>\n",
       "      <td>2031.1</td>\n",
       "      <td>2046.7</td>\n",
       "      <td>2046.7</td>\n",
       "      <td>390</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>01/11/24</td>\n",
       "      <td>2025.1</td>\n",
       "      <td>2025.1</td>\n",
       "      <td>2014.3</td>\n",
       "      <td>2014.3</td>\n",
       "      <td>2014.3</td>\n",
       "      <td>97</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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       "       Date    Open    High     Low  Close*  Adj Close** Volume\n",
       "0  01/17/24  2026.5  2026.5  2002.6  2002.6       2002.6     46\n",
       "1  01/16/24  2051.7  2054.8  2026.0  2026.0       2026.0     46\n",
       "2  01/15/24  2051.7  2054.8  2051.7  2054.8       2054.8    390\n",
       "3  01/12/24  2031.1  2057.0  2031.1  2046.7       2046.7    390\n",
       "4  01/11/24  2025.1  2025.1  2014.3  2014.3       2014.3     97"
      ]
     },
     "execution_count": 2,
     "metadata": {},
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   ],
   "source": [
    "df = pd.read_csv('/kaggle/input/gold-price-5-year-2019-2024/gold_data_5yr_yahoo.csv')\n",
    "df.head()"
   ]
  },
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    {
     "data": {
      "text/plain": [
       "(1271, 7)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "df.shape"
   ]
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       "Date            object\n",
       "Open           float64\n",
       "High           float64\n",
       "Low            float64\n",
       "Close*         float64\n",
       "Adj Close**    float64\n",
       "Volume          object\n",
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    "df.dtypes"
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    {
     "data": {
      "text/plain": [
       "Date    datetime64[ns]\n",
       "High           float64\n",
       "dtype: object"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "df['Date'] = pd.to_datetime(df.Date, format='%m/%d/%y')\n",
    "df.drop(columns=['Open', 'Low', 'Close*', 'Adj Close**', 'Volume'], inplace=True)\n",
    "df.dtypes"
   ]
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       "      <th>Date</th>\n",
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       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2019-01-02</td>\n",
       "      <td>1286.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2019-01-03</td>\n",
       "      <td>1292.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2019-01-04</td>\n",
       "      <td>1294.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2019-01-07</td>\n",
       "      <td>1286.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-01-08</td>\n",
       "      <td>1283.2</td>\n",
       "    </tr>\n",
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       "        Date    High\n",
       "0 2019-01-02  1286.0\n",
       "1 2019-01-03  1292.0\n",
       "2 2019-01-04  1294.2\n",
       "3 2019-01-07  1286.8\n",
       "4 2019-01-08  1283.2"
      ]
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     "execution_count": 6,
     "metadata": {},
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   "source": [
    "df.sort_values('Date', inplace=True, ignore_index=True)\n",
    "df.head()"
   ]
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>High</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1259</th>\n",
       "      <td>2024-01-02</td>\n",
       "      <td>2073.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1260</th>\n",
       "      <td>2024-01-03</td>\n",
       "      <td>2044.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1261</th>\n",
       "      <td>2024-01-04</td>\n",
       "      <td>2044.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1262</th>\n",
       "      <td>2024-01-05</td>\n",
       "      <td>2048.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1263</th>\n",
       "      <td>2024-01-08</td>\n",
       "      <td>2033.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1264</th>\n",
       "      <td>2024-01-09</td>\n",
       "      <td>2035.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1265</th>\n",
       "      <td>2024-01-10</td>\n",
       "      <td>2035.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1266</th>\n",
       "      <td>2024-01-11</td>\n",
       "      <td>2025.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1267</th>\n",
       "      <td>2024-01-12</td>\n",
       "      <td>2057.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1268</th>\n",
       "      <td>2024-01-15</td>\n",
       "      <td>2054.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1269</th>\n",
       "      <td>2024-01-16</td>\n",
       "      <td>2054.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1270</th>\n",
       "      <td>2024-01-17</td>\n",
       "      <td>2026.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "           Date    High\n",
       "1259 2024-01-02  2073.7\n",
       "1260 2024-01-03  2044.0\n",
       "1261 2024-01-04  2044.5\n",
       "1262 2024-01-05  2048.1\n",
       "1263 2024-01-08  2033.7\n",
       "1264 2024-01-09  2035.8\n",
       "1265 2024-01-10  2035.6\n",
       "1266 2024-01-11  2025.1\n",
       "1267 2024-01-12  2057.0\n",
       "1268 2024-01-15  2054.8\n",
       "1269 2024-01-16  2054.8\n",
       "1270 2024-01-17  2026.5"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# focus on 2024 only\n",
    "df.iloc[-12:,:]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0c0bf57",
   "metadata": {
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     "start_time": "2024-01-29T06:07:33.069194",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Feature engineering part 1\n",
    "Extract features from the series based on the time index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d60b1ef4",
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   "outputs": [],
   "source": [
    "df['year'] = df.Date.dt.year\n",
    "df['month'] = df.Date.dt.month\n",
    "df['day_of_week'] = df.Date.dt.day_of_week"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "95e76b0e",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>High</th>\n",
       "      <th>year</th>\n",
       "      <th>month</th>\n",
       "      <th>day_of_week</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2019-01-02</td>\n",
       "      <td>1286.0</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2019-01-03</td>\n",
       "      <td>1292.0</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2019-01-04</td>\n",
       "      <td>1294.2</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2019-01-07</td>\n",
       "      <td>1286.8</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-01-08</td>\n",
       "      <td>1283.2</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date    High  year  month  day_of_week\n",
       "0 2019-01-02  1286.0  2019      1            2\n",
       "1 2019-01-03  1292.0  2019      1            3\n",
       "2 2019-01-04  1294.2  2019      1            4\n",
       "3 2019-01-07  1286.8  2019      1            0\n",
       "4 2019-01-08  1283.2  2019      1            1"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c9b2a366",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:33.212442Z",
     "iopub.status.busy": "2024-01-29T06:07:33.211838Z",
     "iopub.status.idle": "2024-01-29T06:07:33.222815Z",
     "shell.execute_reply": "2024-01-29T06:07:33.221367Z"
    },
    "papermill": {
     "duration": 0.030343,
     "end_time": "2024-01-29T06:07:33.225892",
     "exception": false,
     "start_time": "2024-01-29T06:07:33.195549",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "252\n",
      "253\n",
      "252\n",
      "251\n",
      "251\n"
     ]
    }
   ],
   "source": [
    "#count working days in each year\n",
    "print(sum(df.year == 2019))\n",
    "print(sum(df.year == 2020))\n",
    "print(sum(df.year == 2021))\n",
    "print(sum(df.year == 2022))\n",
    "print(sum(df.year == 2023))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4a87d7b",
   "metadata": {
    "papermill": {
     "duration": 0.01447,
     "end_time": "2024-01-29T06:07:33.255335",
     "exception": false,
     "start_time": "2024-01-29T06:07:33.240865",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Visualization (EDA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "784ae65f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:33.288598Z",
     "iopub.status.busy": "2024-01-29T06:07:33.287987Z",
     "iopub.status.idle": "2024-01-29T06:07:33.769970Z",
     "shell.execute_reply": "2024-01-29T06:07:33.768322Z"
    },
    "papermill": {
     "duration": 0.503052,
     "end_time": "2024-01-29T06:07:33.772967",
     "exception": false,
     "start_time": "2024-01-29T06:07:33.269915",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "plt.plot(df.Date, df.High)\n",
    "plt.title('Gold high price \\n from 2019-2024')\n",
    "plt.grid(axis='x');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2e6d612a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:33.807444Z",
     "iopub.status.busy": "2024-01-29T06:07:33.806993Z",
     "iopub.status.idle": "2024-01-29T06:07:34.214302Z",
     "shell.execute_reply": "2024-01-29T06:07:34.212414Z"
    },
    "papermill": {
     "duration": 0.428306,
     "end_time": "2024-01-29T06:07:34.217505",
     "exception": false,
     "start_time": "2024-01-29T06:07:33.789199",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df.iloc[-12:, 0], df.iloc[-12:, 1])\n",
    "plt.scatter(df.iloc[-12:, 0], df.iloc[-12:, 1])\n",
    "plt.xticks(rotation=90);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e475497c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:34.252549Z",
     "iopub.status.busy": "2024-01-29T06:07:34.252089Z",
     "iopub.status.idle": "2024-01-29T06:07:35.043956Z",
     "shell.execute_reply": "2024-01-29T06:07:35.042693Z"
    },
    "papermill": {
     "duration": 0.812536,
     "end_time": "2024-01-29T06:07:35.046856",
     "exception": false,
     "start_time": "2024-01-29T06:07:34.234320",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 485.25x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.relplot(data=df, x='month', y='High', kind='line', hue='year', palette='Set2',\n",
    "            errorbar=None, height=4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "04ccfdc5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:35.083196Z",
     "iopub.status.busy": "2024-01-29T06:07:35.082752Z",
     "iopub.status.idle": "2024-01-29T06:07:35.503319Z",
     "shell.execute_reply": "2024-01-29T06:07:35.501838Z"
    },
    "papermill": {
     "duration": 0.443404,
     "end_time": "2024-01-29T06:07:35.506694",
     "exception": false,
     "start_time": "2024-01-29T06:07:35.063290",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(df.High);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5094d917",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:35.543311Z",
     "iopub.status.busy": "2024-01-29T06:07:35.542772Z",
     "iopub.status.idle": "2024-01-29T06:07:35.986539Z",
     "shell.execute_reply": "2024-01-29T06:07:35.985196Z"
    },
    "papermill": {
     "duration": 0.465974,
     "end_time": "2024-01-29T06:07:35.989486",
     "exception": false,
     "start_time": "2024-01-29T06:07:35.523512",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zM1MPPPCA7rrrLq1fv95eZuXKlUpNTdWMGTO0Y8cO9ezZU4mJiVU+5hwAAFw4GuwuKovFotWrV2vYsGEVlnnkkUf03//+1+Fpo8nJycrNzdW6desk/fb3bK688kq9+OKLkn57OmpERITuu+8+TZ061aXrAAAAmocm9aC/jIwMJSQkOIxLTEzUAw88IEk6c+aMtm/frmnTptmnu7m5KSEhodwTPc9XXFzs8EcLz/013jZt2tTo0eYAAKDxGIahkydPKjw8vMoHbzapgGOz2RQSEuIwLiQkRPn5+Tp16pR+/fVXlZaWOi1z7m/FOJOWlqZZs2a5pM0AAKBhHTp0SO3atau0TJMKOK4ybdo0paam2l/n5eXp4osv1qFDh+Tr61vn+v+58f9pyecHVFpW/myfu5tFY/pE6sE/XVpu2sOrvtH6721yMpvcLFLiZaF6dnjPOrevsZWUlGjDhg32R9ODPqkI/VIefVIefeLchdAv+fn5ioiI0EUXXVRl2SYVcEJDQ5WTk+MwLicnR76+vvL29pa7u7vc3d2dlgkNDa2wXqvV6vCXmc/x9fWtl4Azql8XLf0qR25OgorFIo3u10W+vi3LTYtuGyT3/SflLOG4u1kU3TaoXtrX2EpKSuTj4yNfX1/Tfuhqij5xjn4pjz4pjz5x7kLql+pcXtKknoMTHx+vTZs2OYzbuHGj4uPjJUmenp6KjY11KFNWVqZNmzbZyzSGqMCWevqWHnI7r7/dLb8dhXn6lh6KDCwfbiTptl4Rqugab8MwNKKX8z9YCAAAKufSgFNQUKDMzExlZmZK+u028MzMTB08eFDSb6eORo0aZS9/zz336Mcff9SUKVO0e/du/etf/9Jbb72lBx980F4mNTVVr7zyipYuXapdu3Zp4sSJKiws1NixY125KlUa3itC/73/avvr0fHttXlyfw2vJKQ4D0aWKoMRAAConEtPUX311Ve67rrr7K/PXQczevRoLVmyRNnZ2fawI0lRUVH673//qwcffFDPPfec2rVrp1dffVWJiYn2MiNGjNDRo0c1ffp02Ww2xcTEaN26deUuPG4M7dv8Hkj+NqCD/Fp6VznP8F4R6tbWV4Oe+1SSNPbqSP0lrj3hBgCAOnBpwOnfv3+Fp2AkOX1Kcf/+/fX1119XWm9KSopSUlLq2rwm4/xglPqnS+Xj2aQujQIAoNlpUtfgAAAA1AcCDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMB0CDgAAMJ0GCTgLFixQZGSkvLy8FBcXp23btlVYtn///rJYLOWGIUOG2MuMGTOm3PSkpKSGWBUAANAMtHD1AlauXKnU1FQtXLhQcXFxmj9/vhITE7Vnzx4FBweXK//OO+/ozJkz9tfHjx9Xz549NXz4cIdySUlJWrx4sf211Wp13UoAAIBmxeVHcObNm6fx48dr7Nix6tq1qxYuXCgfHx8tWrTIafmAgACFhobah40bN8rHx6dcwLFarQ7lWrdu7epVAQAAzYRLA86ZM2e0fft2JSQk/L5ANzclJCQoIyOjWnW89tprSk5OVsuWLR3Gp6enKzg4WJ06ddLEiRN1/PjxCusoLi5Wfn6+wwAAAMzLpQHn2LFjKi0tVUhIiMP4kJAQ2Wy2Kufftm2bvvvuO911110O45OSkvT6669r06ZNevrpp7VlyxYNGjRIpaWlTutJS0uTn5+ffYiIiKj9SgEAgCbP5dfg1MVrr72m7t27q3fv3g7jk5OT7f/v3r27evTooQ4dOig9PV0DBgwoV8+0adOUmppqf52fn0/IAQDAxFx6BCcwMFDu7u7KyclxGJ+Tk6PQ0NBK5y0sLNSKFSs0bty4KpcTHR2twMBA7du3z+l0q9UqX19fhwEAAJiXSwOOp6enYmNjtWnTJvu4srIybdq0SfHx8ZXOu2rVKhUXF+svf/lLlcv5+eefdfz4cYWFhdW5zQAAoPlz+V1UqampeuWVV7R06VLt2rVLEydOVGFhocaOHStJGjVqlKZNm1Zuvtdee03Dhg1TmzZtHMYXFBTo4Ycf1hdffKEDBw5o06ZNGjp0qDp27KjExERXrw4AAGgGXH4NzogRI3T06FFNnz5dNptNMTExWrdunf3C44MHD8rNzTFn7dmzR59++qk2bNhQrj53d3ft3LlTS5cuVW5ursLDwzVw4EDNmTOHZ+EAAABJDXSRcUpKilJSUpxOS09PLzeuU6dOMgzDaXlvb2+tX7++PpsHAABMhr9FBQAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATIeAAwAATKdBAs6CBQsUGRkpLy8vxcXFadu2bRWWXbJkiSwWi8Pg5eXlUMYwDE2fPl1hYWHy9vZWQkKC9u7d6+rVAAAAzYTLA87KlSuVmpqqGTNmaMeOHerZs6cSExN15MiRCufx9fVVdna2ffjpp58cpj/zzDN6/vnntXDhQm3dulUtW7ZUYmKiTp8+7erVAQAAzYDLA868efM0fvx4jR07Vl27dtXChQvl4+OjRYsWVTiPxWJRaGiofQgJCbFPMwxD8+fP12OPPaahQ4eqR48eev3113X48GG9++67rl4dAADQDLg04Jw5c0bbt29XQkLC7wt0c1NCQoIyMjIqnK+goEDt27dXRESEhg4dqu+//94+LSsrSzabzaFOPz8/xcXFVVhncXGx8vPzHQYAAGBeLg04x44dU2lpqcMRGEkKCQmRzWZzOk+nTp20aNEivffee3rjjTdUVlamPn366Oeff5Yk+3w1qTMtLU1+fn72ISIioq6rBgAAmrAmdxdVfHy8Ro0apZiYGPXr10/vvPOOgoKC9O9//7vWdU6bNk15eXn24dChQ/XYYgAA0NS4NOAEBgbK3d1dOTk5DuNzcnIUGhparTo8PDx0+eWXa9++fZJkn68mdVqtVvn6+joMAADAvFwacDw9PRUbG6tNmzbZx5WVlWnTpk2Kj4+vVh2lpaX69ttvFRYWJkmKiopSaGioQ535+fnaunVrtesEAADm1sLVC0hNTdXo0aPVq1cv9e7dW/Pnz1dhYaHGjh0rSRo1apTatm2rtLQ0SdLs2bN11VVXqWPHjsrNzdWzzz6rn376SXfddZek3+6weuCBB/TEE0/okksuUVRUlB5//HGFh4dr2LBhrl4dAADQDLg84IwYMUJHjx7V9OnTZbPZFBMTo3Xr1tkvEj548KDc3H4/kPTrr79q/Pjxstlsat26tWJjY/X555+ra9eu9jJTpkxRYWGhJkyYoNzcXF199dVat25duQcCAgCAC5PLA44kpaSkKCUlxem09PR0h9f//Oc/9c9//rPS+iwWi2bPnq3Zs2fXVxMBAICJNLm7qAAAAOqKgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEyHgAMAAEynQQLOggULFBkZKS8vL8XFxWnbtm0Vln3llVd0zTXXqHXr1mrdurUSEhLKlR8zZowsFovDkJSU5OrVAAAAzYTLA87KlSuVmpqqGTNmaMeOHerZs6cSExN15MgRp+XT09N1++2366OPPlJGRoYiIiI0cOBA/fLLLw7lkpKSlJ2dbR/efPNNV68KAABoJlwecObNm6fx48dr7Nix6tq1qxYuXCgfHx8tWrTIaflly5bp3nvvVUxMjDp37qxXX31VZWVl2rRpk0M5q9Wq0NBQ+9C6dWtXrwoAAGgmXBpwzpw5o+3btyshIeH3Bbq5KSEhQRkZGdWqo6ioSCUlJQoICHAYn56eruDgYHXq1EkTJ07U8ePHK6yjuLhY+fn5DgMAADAvlwacY8eOqbS0VCEhIQ7jQ0JCZLPZqlXHI488ovDwcIeQlJSUpNdff12bNm3S008/rS1btmjQoEEqLS11WkdaWpr8/PzsQ0RERO1XCgAANHktGrsBlXnqqae0YsUKpaeny8vLyz4+OTnZ/v/u3burR48e6tChg9LT0zVgwIBy9UybNk2pqan21/n5+YQcAABMzKVHcAIDA+Xu7q6cnByH8Tk5OQoNDa103rlz5+qpp57Shg0b1KNHj0rLRkdHKzAwUPv27XM63Wq1ytfX12EAAADm5dKA4+npqdjYWIcLhM9dMBwfH1/hfM8884zmzJmjdevWqVevXlUu5+eff9bx48cVFhZWL+0GAADNm8vvokpNTdUrr7yipUuXateuXZo4caIKCws1duxYSdKoUaM0bdo0e/mnn35ajz/+uBYtWqTIyEjZbDbZbDYVFBRIkgoKCvTwww/riy++0IEDB7Rp0yYNHTpUHTt2VGJioqtXBwAANAMuvwZnxIgROnr0qKZPny6bzaaYmBitW7fOfuHxwYMH5eb2e8566aWXdObMGd16660O9cyYMUMzZ86Uu7u7du7cqaVLlyo3N1fh4eEaOHCg5syZI6vV6urVAQAAzUCDXGSckpKilJQUp9PS09MdXh84cKDSury9vbV+/fp6ahkAADAj/hYVAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwHQIOAAAwnRaN3YALTcb+4+XGnS4ptf9/648n5OXh3pBNcrmy0rOSpG1ZJ+TmziYn0ScVoV8cZeed0ke7c/TLL276sHCnruscojA/78ZuVqNjO3GuqfVLfIc2jbr8xu8BNAvZeaeUvueojhYUK6iVVf07Bbn0i9bsy0P9Met7l77niF7+5EdZJBmGRZknbFr7rU13XxutfpcGN3bzgCaPgIMqOXzRSrJIWrPzsMu+aOuyvNrs7Bp6/VB/Gvq9a6gwlZ13Si9/8qMM47f1kiwyfvuP/v3xj+oU4qtQP696Xy5QXc3hhwUBB5Uq/0X7+7+u+KKty/Jqs7Nr6PVD/Wno964hg3f6nqP25fyRRdJHe47o9t4X135lmojmsJNEec3lRyEBB5Vq6C/a2i6vtju75rQjYWfgqK7vXU36s6GD99GCYqfrdW65RwuKK1yv5qK57CT53DlqTj8KCTgXmJp+WBv6i7a2y6vtzq657Eiay86gLs6/oLZt4c9VXlBbl/eupv3Z0ME7qJW10uUFtbJWuG7NQV12kjXdTuriQvjc1VRz+lFIwLmA1ObD2tBftLVdXm13ds1hR9KcfjHVVm0uqK3te1eb/mzo4N2/U5DW7Dxc4fKu69S0dq4NdQquIS+8vhA+d7XRXH4USg30HJwFCxYoMjJSXl5eiouL07Zt2yotv2rVKnXu3FleXl7q3r27PvjgA4fphmFo+vTpCgsLk7e3txISErR3715XrkKzd/6HtcyQw7///vhH2fJOO52vf6egSjfm+v6ire3yzu3snKlsZ9fQ61cb53YGzpzbGVQmO++U3tx2UM9v3qs3tx1Udt6pem9jXZTbNmVx6bZZm/6s7fZV251BmJ+37r42WpbzFupmkSwW6e5ro5vUjjV9zxFNXvWN1u48rC9+PK61Ow9r8qpvtOX/Vbxd1qZfarud1FZdP3dmVdvPQmNw+RGclStXKjU1VQsXLlRcXJzmz5+vxMRE7dmzR8HB5b+APv/8c91+++1KS0vTDTfcoOXLl2vYsGHasWOHunXrJkl65pln9Pzzz2vp0qWKiorS448/rsTERP3www/y8qr+B7/ozFm1OHO23ta16Ly6is6UysOjfN3nP/PmnOLzxhU7mV4fPtyVU+kvpo27bBoeG1FuWmsfT93ZJ0qLPsuyz+tm+a2eO/tEyd/Hw+k6na+stFTFpb+tu1tZRR+Nui0vvkObSn/x9unQxul89bF+tVGTPsnJP13pziAn/3SFbfxk71Et/vxAuaN2d/aJ0tWXBNZhDepPQ2+btenP2m9fHpWuW+tKtq+4qDYK9/PS9Pd/kCQldA7S9V1CFeLrVeU2acs/rU/2HtXxgjNq08pT11wSpFDf+g9FtvzTlR7liGzTUiFOllubfqntdlJbdfncSQ33HpyvJt8rtVWTz0JRPe5fz6lJnRbDMCp6D+tFXFycrrzySr344ouSpLKyMkVEROi+++7T1KlTy5UfMWKECgsLtXbtWvu4q666SjExMVq4cKEMw1B4eLgmT56shx56SJKUl5enkJAQLVmyRMnJyeXqLC4uVnHx778I8vPzFRERoYgH3pKb1ae+VxkAALhAWXGRDs2/TXl5efL19a20rEtPUZ05c0bbt29XQkLC7wt0c1NCQoIyMjKczpORkeFQXpISExPt5bOysmSz2RzK+Pn5KS4ursI609LS5OfnZx8iIuov5QMAgKbHpaeojh07ptLSUoWEhDiMDwkJ0e7du53OY7PZnJa32Wz26efGVVTmj6ZNm6bU1FT763NHcLb9fwOqTIA1VVJSovXrNygxcaA8PDzKTd/644l6WU5xSanuWbZDkrRw5BWyVvHnHWz5p/Xo6m/l7HidxSKl3dzd6aHkuvhk71Et/uyA09MHTeX0SF3V9H344zz/Su4hb6+qz1l/uveYFn2e5XCqqaq+XLhlv7YdOFHhe947MkD39OtQ4TIPHi/UjDW/nR5J7Bqi/p2Dq3WIvabzNca2WZv+rIuc/NP6+LzTFddeElTtdSorPavje75Um05XVvn4/VXbD2nddzaVOelLN4uU1C20wtM4tfm81mV5Us36pS7bSW2/i2qzndS1Txr6u70232HVFRcdUG91nZOfn6+w+dUre0HcRWW1WmW1lt+J+Hi2kI9n/XZBicWQ1f23uj08ytftir8zZfVwr7LeyDYtdfe10fr3xz+W+7DefW202rdpWa9tys47pcWfH3A4h33uA7/o8yx1a+vXpC6UrC1b/u8XNr6/87ASulR9y+r586z9NkcJl4VWOU9C1xB1a+unj/Ycsd+pcl2n4Er7MMTXq9JrFkJ8vSrcbs7drXLOxl052rArp8q7VWozX7lt0zBksVhctm1KtevPumjfpqX+Wsv1KHP77TvFy8Ndbu6Vf85/LSqp9LqRX4tKnL7ntf28JnQJ0f++c/7D0pD0py6hlX431aRfarud1OW7qDbbSW3fA2eq892esf94pZ/zz/cfr/Zt29VZXk3U9/5Vks7WoE6XBpzAwEC5u7srJyfHYXxOTo5CQ0OdzhMaGlpp+XP/5uTkKCwszKFMTExMPbbefPpdGqxOIb4N8qXenJ6VUFt/3Jmv+86m/31X+S2r5eb5IUf/+6Hq4CBJoX5eNeqz2t5qfP7dKuec2yFUdntsbeeTft82N++26ZdfDqtt2zBd3znUpSG4pv3ZHNT21vnafl7P3e1V0Q+n+n7/arOd1PW7qKbbSV0fPXH+D6BV2w9V+aOprrdt13R5zYlLr8Hx9PRUbGysNm3aZB9XVlamTZs2KT4+3uk88fHxDuUlaePGjfbyUVFRCg0NdSiTn5+vrVu3Vlgnfnfuw3r/9Zfo9t4Xu2wH0pyelVAbFe3MK7tltTbz1MX5txqfu8W4Orca1/b22LreVhvq56XkXu00+tIyJfdqZ4ojfA2ttrfO1+Xz2u/SYM0bHqMbeoTrqug2uqFHuOYNj3HZg/Bqup009HdRXR49kb7niB5d/a399brvbFXecl+X27Zrs7zmxOWnqFJTUzV69Gj16tVLvXv31vz581VYWKixY8dKkkaNGqW2bdsqLS1NkvS3v/1N/fr10z/+8Q8NGTJEK1as0FdffaWXX35ZkmSxWPTAAw/oiSee0CWXXGK/TTw8PFzDhg1z9eqgmprDA/Tqoja/ChvjqFZtjtrVdodg9lDbHNT2iEpdP69N+WhYQ38X1fY9qO0R0IY+UtucuDzgjBgxQkePHtX06dNls9kUExOjdevW2S8SPnjwoNzcfj+Q1KdPHy1fvlyPPfaYHn30UV1yySV699137c/AkaQpU6aosLBQEyZMUG5urq6++mqtW7euRs/AgWs1tyex1lRtduaNFQAa6hC72UNtc1GbUGvmz2tjrFtt3oN6O034h2uTqjpSa+bLCBrkIuOUlBSlpKQ4nZaenl5u3PDhwzV8+PAK67NYLJo9e7Zmz55dX01sdpr6edPafuiai9rszJtLAKjtDsHMO8nmpqahtqGvpWlIjbVuNX0P6nqasKbXJl0IR1wviLuozKY2F7c2hsa4cLSh1GZn3lwCQG13CGbeSV4IGvImhIbWHNatPk4TJvdqp2Mtf1Zgl3ZVPlKgufzgqgsCTjPT3M6b1vRD11zUZmfenI5q1XaH0Bx2JKhYU76Wpq6a+ro19A+g5vKDqy7Msbe5gFwI502bi9rszJvTUa3a7hCa+o4EaIoa+gjohXDElYDTwOI7tKnT/Mu3Hax0ulEPy6hvJSUl+mCX1DsqwOnTnZu7m69oW+N5bugerA8++FmDB/cwZZ/Ultm3ldqgT8oza5/Ed2ij5Csv1sqvDunnX0+pXWtvjegVocjA6j0Msab9UtflNXUEnGamXWtvWSwWOXsut8ViUbvWTedCYwBAzUQGttQjSZ1Nu7yG5NIH/aH+3dYrQhX9AXjDMDSiF39IFAAAAk4zExXYUk/f0kNuFsndzeLw79O39DDNoUUAAOqCU1TN0PBeEboyMsC0500BAKgrAk4zZebzpgAA1BWnqAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOkQcAAAgOm4NOCcOHFCI0eOlK+vr/z9/TVu3DgVFBRUWv6+++5Tp06d5O3trYsvvlj333+/8vLyHMpZLJZyw4oVK1y5KgAAoBlp4crKR44cqezsbG3cuFElJSUaO3asJkyYoOXLlzstf/jwYR0+fFhz585V165d9dNPP+mee+7R4cOH9fbbbzuUXbx4sZKSkuyv/f39XbkqAACgGXFZwNm1a5fWrVunL7/8Ur169ZIkvfDCCxo8eLDmzp2r8PDwcvN069ZN//nPf+yvO3TooL///e/6y1/+orNnz6pFi9+b6+/vr9DQUFc1HwAANGMuO0WVkZEhf39/e7iRpISEBLm5uWnr1q3VricvL0++vr4O4UaSJk2apMDAQPXu3VuLFi2SYRgV1lFcXKz8/HyHAQAAmJfLjuDYbDYFBwc7LqxFCwUEBMhms1WrjmPHjmnOnDmaMGGCw/jZs2fr+uuvl4+PjzZs2KB7771XBQUFuv/++53Wk5aWplmzZtVuRQAAQLNT4yM4U6dOdXqR7/nD7t2769yw/Px8DRkyRF27dtXMmTMdpj3++OPq27evLr/8cj3yyCOaMmWKnn322QrrmjZtmvLy8uzDoUOH6tw+AADQdNX4CM7kyZM1ZsyYSstER0crNDRUR44ccRh/9uxZnThxosprZ06ePKmkpCRddNFFWr16tTw8PCotHxcXpzlz5qi4uFhWq7XcdKvV6nQ8AAAwpxoHnKCgIAUFBVVZLj4+Xrm5udq+fbtiY2MlSZs3b1ZZWZni4uIqnC8/P1+JiYmyWq16//335eXlVeWyMjMz1bp1a0IMAACQ5MJrcLp06aKkpCSNHz9eCxcuVElJiVJSUpScnGy/g+qXX37RgAED9Prrr6t3797Kz8/XwIEDVVRUpDfeeMPhguCgoCC5u7trzZo1ysnJ0VVXXSUvLy9t3LhRTz75pB566CFXrQoAAGhmXPocnGXLliklJUUDBgyQm5ubbrnlFj3//PP26SUlJdqzZ4+KiookSTt27LDfYdWxY0eHurKyshQZGSkPDw8tWLBADz74oAzDUMeOHTVv3jyNHz/elasCAACaEZcGnICAgAof6idJkZGRDrd39+/fv9LbvSUpKSnJ4QF/AAAAf8TfogIAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKZDwAEAAKbj0oBz4sQJjRw5Ur6+vvL399e4ceNUUFBQ6Tz9+/eXxWJxGO655x6HMgcPHtSQIUPk4+Oj4OBgPfzwwzp79qwrVwUAADQjLVxZ+ciRI5Wdna2NGzeqpKREY8eO1YQJE7R8+fJK5xs/frxmz55tf+3j42P/f2lpqYYMGaLQ0FB9/vnnys7O1qhRo+Th4aEnn3zSZesCAACaD5cFnF27dmndunX68ssv1atXL0nSCy+8oMGDB2vu3LkKDw+vcF4fHx+FhoY6nbZhwwb98MMP+vDDDxUSEqKYmBjNmTNHjzzyiGbOnClPT0+XrA8AAGg+XHaKKiMjQ/7+/vZwI0kJCQlyc3PT1q1bK5132bJlCgwMVLdu3TRt2jQVFRU51Nu9e3eFhITYxyUmJio/P1/ff/+90/qKi4uVn5/vMAAAAPNy2REcm82m4OBgx4W1aKGAgADZbLYK57vjjjvUvn17hYeHa+fOnXrkkUe0Z88evfPOO/Z6zw83kuyvK6o3LS1Ns2bNqsvqAACAZqTGAWfq1Kl6+umnKy2za9euWjdowoQJ9v93795dYWFhGjBggPbv368OHTrUqs5p06YpNTXV/jo/P18RERG1biMAAGjaahxwJk+erDFjxlRaJjo6WqGhoTpy5IjD+LNnz+rEiRMVXl/jTFxcnCRp37596tChg0JDQ7Vt2zaHMjk5OZJUYb1Wq1VWq7XaywQAAM1bjQNOUFCQgoKCqiwXHx+v3Nxcbd++XbGxsZKkzZs3q6yszB5aqiMzM1OSFBYWZq/373//u44cOWI/BbZx40b5+vqqa9euNVwbAABgRi67yLhLly5KSkrS+PHjtW3bNn322WdKSUlRcnKy/Q6qX375RZ07d7Yfkdm/f7/mzJmj7du368CBA3r//fc1atQoXXvtterRo4ckaeDAgeratav++te/6ptvvtH69ev12GOPadKkSRylAQAAklz8oL9ly5apc+fOGjBggAYPHqyrr75aL7/8sn16SUmJ9uzZY79LytPTUx9++KEGDhyozp07a/Lkybrlllu0Zs0a+zzu7u5au3at3N3dFR8fr7/85S8aNWqUw3NzAADAhc2lD/oLCAio9KF+kZGRMgzD/joiIkJbtmypst727dvrgw8+qJc2AgAA8+FvUQEAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANMh4AAAANNxacA5ceKERo4cKV9fX/n7+2vcuHEqKCiosPyBAwdksVicDqtWrbKXczZ9xYoVrlwVAADQjLRwZeUjR45Udna2Nm7cqJKSEo0dO1YTJkzQ8uXLnZaPiIhQdna2w7iXX35Zzz77rAYNGuQwfvHixUpKSrK/9vf3r/f2AwCA5sllAWfXrl1at26dvvzyS/Xq1UuS9MILL2jw4MGaO3euwsPDy83j7u6u0NBQh3GrV6/WbbfdplatWjmM9/f3L1cWAABAcuEpqoyMDPn7+9vDjSQlJCTIzc1NW7durVYd27dvV2ZmpsaNG1du2qRJkxQYGKjevXtr0aJFMgyjwnqKi4uVn5/vMAAAAPNy2REcm82m4OBgx4W1aKGAgADZbLZq1fHaa6+pS5cu6tOnj8P42bNn6/rrr5ePj482bNige++9VwUFBbr//vud1pOWlqZZs2bVbkUAAECzU+MjOFOnTq3wQuBzw+7du+vcsFOnTmn58uVOj948/vjj6tu3ry6//HI98sgjmjJlip599tkK65o2bZry8vLsw6FDh+rcPgAA0HTV+AjO5MmTNWbMmErLREdHKzQ0VEeOHHEYf/bsWZ04caJa1868/fbbKioq0qhRo6osGxcXpzlz5qi4uFhWq7XcdKvV6nQ8AAAwpxoHnKCgIAUFBVVZLj4+Xrm5udq+fbtiY2MlSZs3b1ZZWZni4uKqnP+1117TTTfdVK1lZWZmqnXr1oQYAAAgyYXX4HTp0kVJSUkaP368Fi5cqJKSEqWkpCg5Odl+B9Uvv/yiAQMG6PXXX1fv3r3t8+7bt08ff/yxPvjgg3L1rlmzRjk5Obrqqqvk5eWljRs36sknn9RDDz3kqlUBAADNjEufg7Ns2TKlpKRowIABcnNz0y233KLnn3/ePr2kpER79uxRUVGRw3yLFi1Su3btNHDgwHJ1enh4aMGCBXrwwQdlGIY6duyoefPmafz48a5cFQAA0Iy4NOAEBARU+FA/SYqMjHR6e/eTTz6pJ5980uk8SUlJDg/4AwAA+CP+FhUAADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdAg4AADAdlwWcv//97+rTp498fHzk7+9frXkMw9D06dMVFhYmb29vJSQkaO/evQ5lTpw4oZEjR8rX11f+/v4aN26cCgoKXLAGAACguXJZwDlz5oyGDx+uiRMnVnueZ555Rs8//7wWLlyorVu3qmXLlkpMTNTp06ftZUaOHKnvv/9eGzdu1Nq1a/Xxxx9rwoQJrlgFAADQTLVwVcWzZs2SJC1ZsqRa5Q3D0Pz58/XYY49p6NChkqTXX39dISEhevfdd5WcnKxdu3Zp3bp1+vLLL9WrVy9J0gsvvKDBgwdr7ty5Cg8Pd8m6AACA5sVlAaemsrKyZLPZlJCQYB/n5+enuLg4ZWRkKDk5WRkZGfL397eHG0lKSEiQm5ubtm7dqptvvtlp3cXFxSouLra/zsvLkyTl5+fX+3qUlJSoqKhI+fn58vDwqPf6myP6pDz6xDn6pTz6pDz6xLkLoV/O7bcNw6iybJMJODabTZIUEhLiMD4kJMQ+zWazKTg42GF6ixYtFBAQYC/jTFpamv2I0vkiIiLq2mwAANDATp48KT8/v0rL1CjgTJ06VU8//XSlZXbt2qXOnTvXpFqXmzZtmlJTU+2vy8rKdOLECbVp00YWi6Vel5Wfn6+IiAgdOnRIvr6+9Vp3c0WflEefOEe/lEeflEefOHch9IthGDp58mS1LkmpUcCZPHmyxowZU2mZ6OjomlRpFxoaKknKyclRWFiYfXxOTo5iYmLsZY4cOeIw39mzZ3XixAn7/M5YrVZZrVaHcdW9s6u2fH19TbuB1RZ9Uh594hz9Uh59Uh594pzZ+6WqIzfn1CjgBAUFKSgoqFYNqkpUVJRCQ0O1adMme6DJz8/X1q1b7XdixcfHKzc3V9u3b1dsbKwkafPmzSorK1NcXJxL2gUAAJofl90mfvDgQWVmZurgwYMqLS1VZmamMjMzHZ5Z07lzZ61evVqSZLFY9MADD+iJJ57Q+++/r2+//VajRo1SeHi4hg0bJknq0qWLkpKSNH78eG3btk2fffaZUlJSlJyczB1UAADAzmUXGU+fPl1Lly61v7788sslSR999JH69+8vSdqzZ4/9jiZJmjJligoLCzVhwgTl5ubq6quv1rp16+Tl5WUvs2zZMqWkpGjAgAFyc3PTLbfcoueff95Vq1FjVqtVM2bMKHdK7EJGn5RHnzhHv5RHn5RHnzhHvziyGNW51woAAKAZ4W9RAQAA0yHgAAAA0yHgAAAA0yHgAAAA0yHgAAAA0yHg1KMFCxYoMjJSXl5eiouL07Zt2xq7SY1q5syZslgsDkNT+zMervbxxx/rxhtvVHh4uCwWi959912H6YZhaPr06QoLC5O3t7cSEhK0d+/exmlsA6qqX8aMGVNu20lKSmqcxjaAtLQ0XXnllbrooosUHBysYcOGac+ePQ5lTp8+rUmTJqlNmzZq1aqVbrnlFuXk5DRSixtGdfqlf//+5baVe+65p5Fa7HovvfSSevToYX9acXx8vP73v//Zp1+I20lFCDj1ZOXKlUpNTdWMGTO0Y8cO9ezZU4mJieX+tMSF5rLLLlN2drZ9+PTTTxu7SQ2qsLBQPXv21IIFC5xOf+aZZ/T8889r4cKF2rp1q1q2bKnExESdPn26gVvasKrqF0lKSkpy2HbefPPNBmxhw9qyZYsmTZqkL774Qhs3blRJSYkGDhyowsJCe5kHH3xQa9as0apVq7RlyxYdPnxYf/7znxux1a5XnX6RpPHjxztsK88880wjtdj12rVrp6eeekrbt2/XV199peuvv15Dhw7V999/L+nC3E4qZKBe9O7d25g0aZL9dWlpqREeHm6kpaU1Yqsa14wZM4yePXs2djOaDEnG6tWr7a/LysqM0NBQ49lnn7WPy83NNaxWq/Hmm282Qgsbxx/7xTAMY/To0cbQoUMbpT1NwZEjRwxJxpYtWwzD+G278PDwMFatWmUvs2vXLkOSkZGR0VjNbHB/7BfDMIx+/foZf/vb3xqvUU1A69atjVdffZXt5A84glMPzpw5o+3btyshIcE+zs3NTQkJCcrIyGjEljW+vXv3Kjw8XNHR0Ro5cqQOHjzY2E1qMrKysmSz2Ry2Gz8/P8XFxV3w240kpaenKzg4WJ06ddLEiRN1/Pjxxm5Sgzn3hPeAgABJ0vbt21VSUuKwrXTu3FkXX3zxBbWt/LFfzlm2bJkCAwPVrVs3TZs2TUVFRY3RvAZXWlqqFStWqLCwUPHx8Wwnf+CyP9VwITl27JhKS0sVEhLiMD4kJES7d+9upFY1vri4OC1ZskSdOnVSdna2Zs2apWuuuUbfffedLrroosZuXqOz2WyS5HS7OTftQpWUlKQ///nPioqK0v79+/Xoo49q0KBBysjIkLu7e2M3z6XKysr0wAMPqG/fvurWrZuk37YVT09P+fv7O5S9kLYVZ/0iSXfccYfat2+v8PBw7dy5U4888oj27Nmjd955pxFb61rffvut4uPjdfr0abVq1UqrV69W165dlZmZecFvJ+cj4MBlBg0aZP9/jx49FBcXp/bt2+utt97SuHHjGrFlaOqSk5Pt/+/evbt69OihDh06KD09XQMGDGjElrnepEmT9N13311w16tVpaJ+mTBhgv3/3bt3V1hYmAYMGKD9+/erQ4cODd3MBtGpUydlZmYqLy9Pb7/9tkaPHq0tW7Y0drOaHE5R1YPAwEC5u7uXu1I9JydHoaGhjdSqpsff31+XXnqp9u3b19hNaRLObRtsN1WLjo5WYGCg6bedlJQUrV27Vh999JHatWtnHx8aGqozZ84oNzfXofyFsq1U1C/OxMXFSZKptxVPT0917NhRsbGxSktLU8+ePfXcc89d8NvJHxFw6oGnp6diY2O1adMm+7iysjJt2rRJ8fHxjdiypqWgoED79+9XWFhYYzelSYiKilJoaKjDdpOfn6+tW7ey3fzBzz//rOPHj5t22zEMQykpKVq9erU2b96sqKgoh+mxsbHy8PBw2Fb27NmjgwcPmnpbqapfnMnMzJQk024rzpSVlam4uPiC3U4q1NhXOZvFihUrDKvVaixZssT44YcfjAkTJhj+/v6GzWZr7KY1msmTJxvp6elGVlaW8dlnnxkJCQlGYGCgceTIkcZuWoM5efKk8fXXXxtff/21IcmYN2+e8fXXXxs//fSTYRiG8dRTTxn+/v7Ge++9Z+zcudMYOnSoERUVZZw6daqRW+5alfXLyZMnjYceesjIyMgwsrKyjA8//NC44oorjEsuucQ4ffp0YzfdJSZOnGj4+fkZ6enpRnZ2tn0oKiqyl7nnnnuMiy++2Ni8ebPx1VdfGfHx8UZ8fHwjttr1quqXffv2GbNnzza++uorIysry3jvvfeM6Oho49prr23klrvO1KlTjS1bthhZWVnGzp07jalTpxoWi8XYsGGDYRgX5nZSEQJOPXrhhReMiy++2PD09DR69+5tfPHFF43dpEY1YsQIIywszPD09DTatm1rjBgxwti3b19jN6tBffTRR4akcsPo0aMNw/jtVvHHH3/cCAkJMaxWqzFgwABjz549jdvoBlBZvxQVFRkDBw40goKCDA8PD6N9+/bG+PHjTf1jwVlfSDIWL15sL3Pq1Cnj3nvvNVq3bm34+PgYN998s5Gdnd14jW4AVfXLwYMHjWuvvdYICAgwrFar0bFjR+Phhx828vLyGrfhLnTnnXca7du3Nzw9PY2goCBjwIAB9nBjGBfmdlIRi2EYRsMdLwIAAHA9rsEBAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACmQ8ABAACm8/8DFpRFTw/yVZcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(df.High)\n",
    "plt.grid(axis='x');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4f89814e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:36.028115Z",
     "iopub.status.busy": "2024-01-29T06:07:36.027333Z",
     "iopub.status.idle": "2024-01-29T06:07:37.329484Z",
     "shell.execute_reply": "2024-01-29T06:07:37.327539Z"
    },
    "papermill": {
     "duration": 1.327707,
     "end_time": "2024-01-29T06:07:37.334454",
     "exception": false,
     "start_time": "2024-01-29T06:07:36.006747",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rqtaBfVd8Lt5mWUXMJT6rHK/sTMA/8bk4dctw15s5nLhZhEd+Oof5P52jTR6dGIa1ZfLXekUt3NsJQfWO9P/G5+KXs7dxLLkIz/8ej42n0nEhoxSx9ctbUaEe2uW7pVvijC7dEuZxNq0EM746hYe+j0Wt3LzTIBp2MNuz4hACwMNDLVNW+PzL9JGr1Hh5xxUDS+Gu+By8spN/V+3XR1J06hwbhmFwOLEAaw4mGxzxVVYtN/q7uNtlAID18wfj1yXDIRQK0NvfGRN6+ejITo7wNVDqWpJ2o9h99913qKiowLhx4+Dv76/9++OPP7Qya9euxd13343Zs2djzJgx8PPzw19//aX9XiQSYc+ePRCJRIiOjsb8+fPx2GOP4d1339XKhIaGYu/evTh06BAiIyPx+eef46effsLUqVNb9XkJoiWolinx2UFNYO95w7tCIBAYdLpsxvfk3mn1c+xtnEkt5vyOjx1xjb565U30c3l3TyIAQFqnpHNDOzE1HIpDFzd7BLo7AADOpZfis4M3td+9uycRD66Pxcq/rgIAhoZ4YGj9Uu2twiocSSo0uB9hHsdvFmHpljhtkOAauQo55ebFlGvwr7t/UBdsXTwM0WGeOPbyOAR5OFiUB4FAgDdn9Mbo7l5gr6pvWjAUu5aNxJnXJ2Bsj8a+6my9gg8AtXIV9ibkaz8vHBmCXctG6tw/X1qH0JX7OHesbj6TgSVb4vDV0RRsONkYyH1HXBYGvncIv+hZiBsoqZajvEYBgQAY19Mb9rYi7bNsXDAUT44N08p+/lCkmSVhHdrVUqwp7Ozs8O233+Lbb7/llenatavBUqs+48aNw+XLl43KEERHZN/VPORV1CHQ3R6LR2ncGcb19MGwUA+cTy/FmzN64/29jcuwE3r54BgrptQLk7rji8O3AABXsyswItxL+11sagn+vZKLxaNCEe7tiD8v5aCHr5N2yfR2SeNgUFln/rmGDdQpVEgpbFw2ziiu0Q70ROeirMYwCHFUmAenwsfFxN4+6OJuj5/qHdav5VRgah8/q+axs1MorcNdX53UKmdssstq0c3H9O7UW/WxMb2cJBjd3Vu7IaIpLBkdhiWjw/DpgSR8fzwNnzzQH+NZlq+fFw3DF4dv4ovDt/D2v9dx4mYRXB1s8NelxtMcflkchVHdNX3Wh/f3w/a4LOSW12pD6CzZEoev5gzUKp4qNYPvYlK1v197+CbkKhV6+DprLYBv7bqG+VHBOj56CpUaD67XhEjr4mavc3JKA89P7I7yagXG9PDWhjBpLdqNYkcQRPPJLNUoV+N6ems7GzsbEbY/2ehDWlotx7qYVNzd3x8PDglCnUKN4moZlowKg7ezBCo1g6+PpmjvVVGjwE+n0vD1UY0PzG/nM/HW3RF4r966dmTFWIR7OyGXFYBUynHuoSkKWDsjAc2g0dBJt0cUKjW2ncvE2B7eCCEfL4so0VMmPn8wEqO6eaHMDEvvtD5+GBDkBoFAgHfuicA7uxOxPS4L5TUKvDy1J1ztW3cQ7YgcuVGAxT/H8X6fU27aWp5WVIV9VzWWsv5m+uSZwytTe+GZcd3gyOGjO6qbl3biyWWlHRbauOHmkahgPBIVjGs5FXhpezxuFlThcmY53tx1DZsXDsWNvEo8tvGcVrG1FQshV6rx7bFUg/v+cCJNJ0TUqVvFWt/QYB7rpIOtGB8/0N+CJ7cepNgRRCeioUMOcDPc4d3Aiik9ERHggugwT9jZiPDEmDCd7xtms5mlNcguq8GsdWcMgsY2KHUAMPHz4/jpsSFIY510Ya7FrrxGjv/75zoeHhpksBP3XFopFo40Hs+srVCrGaz86yp2XswGgPplJG842IosXoa6E3nhj3jt/48O74rZ9c7wHo62mDssGHsTclGrUMHH2U5bp0++Oh7ujrZwtBVprSdRYZ4AgAKpDFvP3sbZtBJ8cH8/nQGeMOSXs7d1Pv++dDhuFlTiv6v5iE0r0Zmk8TH7uzMAgMhAV0zs7WNC2jK4lDoAGBjsjl5+zkji2I27fv4g2IoNvcv6dnHFwRfHapXZ4zeL8PqfV5FZWqNV6p6b0A3Bno54eccVnd/6ukhQIJVh/fFULBgZAolYM1lmn47yzLhuTX7OloIUO4LoRGTWL4cGuPIrdiKhAHf3D+D9vmu9YnK7pAZv/3PdrJMAlmzRnf0XSOsgU6q0HSEXKjWDAe8eAgD8eyXX4Psb+e0zGLhKzWDBpvM6sak0y9s3IBELce5/E+HGEWKG0PDL2dtaa8e4nt54974+Ot+vntUPq2f1Q5VMCVuRECt2XIGNUIBAd3uDkBW9/JwR6uWovd+twio89H0s9jw7yuydnXcaDMMgPqtc+/noirEI83bC8DBP1MhViE0rQU6ZccVOrlRrravzorq2SCgRLkRCAfY8OwrFVXI89H0scsproVIzmNDLB9P6Gh7RxWZib1+8e18fvP3vdfzB8gf+aFY/PDw0CAKBAPdGBiAuoxRPbIlDdLgX1s8fhFEfH0O+tA6xqSUY11OjwBbVK3b3Rga0y1WFdrN5giCI5pFWVIWLmZpdWj2aEb092LPRYtew3OFs1zgHfH9mX/TwdcLWxcMwa1AXnd82xGP671o+er65H68Z2akWm1rCeX3+cE2cp9Lq9ncY/NGkAkSuOqhV6u4boKsgy5Rq3CwwDC9DNNIQkgIANi8cxqsUOEnEsBUL8fXcgVjz8ABOOYFAgFem9jS4vichz+AaoeHkrWKU1ShgKxbi5vvTEebtpP2uS72lf1d8Lj4/mAw1z870wkqN24StSGgQeqSlEYuE8HO1w7GXx+H6qqnI+GgGNi4YatZvH4sO0QmW7O5gg/sHNca4sxULMaKbF+LenIwfHxsMsUioDdvC9v8tlGoUuy7u/BPotoQUO4LoJJxPLwXDaPxMIgJcmnwfX2c72Ioau4YxPbzx2YOR6OrpgLUPR2L+8K44+OJYjO7urXOQ9bie3nhxUg+de/0Rl4Wvj9zSfq6oUeDRDefwxeGbSOWIrwcAz03sDkCznCtXqlErV6GiRoHSajlmrTuN9/Yk8g44LYlKzWDF9ivakAiPRAXjyzkD8cfS4fjtieEI8tB08unFHUuxq1OokFNeiwutcI7wHxcytQPktiVRVrnn9L5+Bspdsp61V1EfDqWiRoGNp9KRlC/Fkp8v4OUdVyBTmrdhozNw8XYpHtuoCeLfN8DFYOmSrah8fTQFFzJKOe+TV6FR7Pxc7dosOLRIKODctGCKaX39serePrg3MgBbF0dxrirYs5b7/d00QZHf33sDt0uqoVYz2l25vmaGaWltaCmWIDoJ13IrAKDZUcyFQgEiAly0yzUDg9wwtY8f567D/oFucLAVwd3BFh/c3w/+LnZ4JCoY+67maUOefH7oJqb380c3Hyd8fyIVJ28V4+StYowI1/hHeTrawkEiQlZpLdbPHwwvRwkEAoBhgH/ic/D+3hs6Z4leyizHwGA3o8vJLcH646na5SdniRjLxmt8axr8vEZ188Zv5zPx2p9XcU9kABxs23/3uichF6/uTNDuRl0wIgTv3NvHxK+aRqG0Dq/9eVX7OdzHyYi0+QgEAiwb3w2fHkjWXkvMa1Ts/ryYjZV/X0Wgm72OH2gD9w/sgpHd2t9ymrWplat0zmp9YLBhrLn+XVzRP9AVCdmavuSVnQn4Z9lIuDvquhY0+OD5uxo/CaK98viIEDxef5yXKfoENC7pbzyVDmc7GyTlV8LRVoSpfdvnTmyy2BFEJ+FajmYw6xvQfN+il6c0WkD0g22y8XKSIPb1iYh5ZRy6uNlDKBTgw/v7If7/pmDbE40WmQbrHDu0ypn6pdi37+2Dk69OQMZHMzCtrx+EQgEaoh+9sjNBR6lrYOfFbBxKLMBnB5JRp2hZi4tKzaCyToEjNzTR758cE4YLb07SLls1MCWiMar+P/GGPoPtke1x2TohRjafyTBrR6Qptp3LxMs7rkCubAwczD4J4LVpveBr4ngoS3n3vj5wrne6L5DKsHDTedQpVFhRnw8upQ4A5v10Dqv/u8H5XWfii8M3tW1p17KReIR1tFUDYpEQfz09AismayzvmaU12Hi6MbbbmdRi9Hv7AJ7/PR6A8U1anYW7+/sj3Fuz6/1qToX2TNhpff3hb8SXuS0hxY4gOgFKlRo36q0U1nAaH9nNEwtHhmD+8GD0M3E/Vwcb2IgMu5IR4V6Y1Fuj7GSW1OBSZpk2j2zYClEDpiLRxyQX4cmtcfjmWAq+PnrLqGxzqFOocM/XpzDovUPaY44eHBLEuQQ0vpcPFo4MAaDrj2NtFFY8ZSGDQ9lZxzrayVJO3CzCkPcP439/a3YMH01qPJc7Pkvj//nMuHA8PS6c7xZN5rHoEFxd1Rho/lhyEVbo7XLk4/vjabjn61Nmn7jQETmU2PguGk7t4EIsEmL5hG6Iqt9Z/PXRFDzw3RmkFVXhkR/PoZJ1OkNHtdhZgp2NCN/W++VdyixHbf1EcuVdrXeShKWQYkcQnYDUomrIlGo4ScTaXa3NQSAQ4O17+uD9mf2a5UPT21+zieNMajG+P66JD9Wg7AFAD18nTiVpw+NDMbKbp/bz5w9GYkCQG2b084eXk0bpa3AH+yc+16wA503hbFoJEvOkUKg093exExs9l7TBEf12Cbd1KL24GmM/PYbo1Udwsf44os8PJmP0J0cx9IPD+PxgMufvGvjovyRErjqIOB7fJ0sorKzTxiqMeXkcvpqrOR84Jtm84+DSi6vx0h/x+C4mFbVyFf68mI13/r2uEwoiMVejyN8sqMSuyxorZsPSdUsxg+X3uZe1iaJfF1dEhXrg0wf64/XphoPy1ZwK9P6//To+oZ2B0mo5/ryYrbVYXn5rssldrAKBAGsfHqA9tSbudhkmfH7cQM7/DrDYAUA3byed+Ii9/V20/VB7pP07gRAEwck/8Tn440IWlo4Jw5UsjU9MRIBLmzkzc3HfgAB8fTRFZwl2xZQeeGlyD6z+7wZWTDHc0QgA/QJdsfbhARj2wREAmsG6IdbZ5weTtcGSAU2U/L8v5+C+AV0MYuE1F33L2+ju3kbTYIeKYVOnUOGj/5Kw82K2dvPF7O/O4OiKsfj+eBrk9Va4r4+m4NHhXeGjt0x58lYR1hy6icv1VsNnfr2E829MatazrT2kUWC6+zihq6eD1pG+QFoHtZoxqEcMw6BAKoOviwRbz97G//1zXfvdx/uTdGQb4n/dyK+Esv58T7lKjQm9fDCmhcNDvHdfXxRU1GnP8QSAnU9FY0iIbmw7aa0C6+pPHbARCbTK++eHbmLmwC4dNh7hlaxyfHYwGdP6+uGLw7dQxApXFOHvYuAvx0eAmz2OvTwOOy9m6Rzvxiaone4KtTZikRD3D+yi3dE9NMS9bTNkAlLsCKIDUl4j1/q5nGGFDbFmBHhroH8sUS8/Z/T21+zY3brY+K5IH2c77H1uFOxtRDpWvahQT3wNjWJ3T2QAdl/JxUvbr+CNv6/hwSGBeOeePlZTbht8A13sxBjdw1vre8RHiKfGmne7tEarHClUagx+7xCqOZb5Ht1wXqvUNXA0qRBzhjWGfPn9QiY+2a9ryZMp1dh69jacJCLMHNDFqAWmwZq5+r8k/HYuEzKlGn8vG4FdlzVHMb03sy8EAgG8nTWbVpRqBit2XEFPP2c8xYq2v+18Jt74+5rR5wcALydbvHV3BJZvu4xDiQXo9sZ/ADRluHpWvxaPeebhaIuPZvfDpDUntNcGBhsOxE+OCUe+tA7zorqim7cTlmy5gAsZGmVwxY4r+GPpcJN5zS6rwbm0UtwTGcAZHLe1uFVQiXf3JGJsD2/tkYHsOIsNPDTEstAkfq52WD6hu45i9+WcAdq+Z2jInRMI+n939UaIpwNyymvx/CTj/UBbQ4odQXQwdsRlac8xZOPhaIsF9T5e7YkhXd211pMIf8vCsPTh2AgSHe6JR6KC6w+Nt8fu+uDGtQoVtsTeRoS/i1YxsgSVmsHW2AyU1igwd1gQauQq/HZeE8j0vZl9cd+ALibuAAS42UEsFECuVOP7E2l4LLorkvIrdZQ6D0dbbYw+ro0Kh28U4oHBgdh5MRvfHU/Vsf41RN2vqFXgrV0aJUskFOLeSMMdwgyjOR3jSFIh5g4Nwg8n0rTfzfjqlDYvDb5UNiIhPB0lKK6S4e96pW/2oEA4ScSwtxWZpdTtXj4Kge72KOGIQfjB/f2svmGCj24+znh+YndcyS7HJw/057SyujrYYM1DA7Sfdzw1AnsScrF822WcTy9FfFY5p0IIQBvy4oktcaiWazZofDlngFl1xNqo1QzuX3cGVTIlpzLXQIS/CxY08SSXZyd0w9dHU/DufX0wtY8fpkT4IjLIjfeEiM6IrVjY5PJrbe6ct0IQHZxbBZXYk5CHL1k+QBH+LnhhUneM6OYFoQDtMsTGN48MwvDVmiVVa1hrRPU7bwHoRNBv4FJmmcWKXWm1HIPeO6T9/JWen1V3Mw5EBzRLNkEeDkgvrsbH+5Pw8f4kTKsPE+NoK8LLU3tiUm9fBLrb4/sTafj13G1kldZi7rBg3DcgAHN+OIuUwkp8dTTFIA9d3Ozx3/OjEbpyn871j/9LQmKuFE+NDdM58WLf1Xz8fkGjmH51lHtDxKBgd513Euxhr+MjN/SDw5y/Wz6+G8QiAR4YHIhRHx8DAIR7O6JfvVO+vW2jhVUsFOCPJ6MxuGvrLl+9aMK6ysVdff0BXAYApBVVcyp2FTUKRL570OD6HxeyWk2xq5YpYW8jglAoQGGlTLu8z8WwUA8EezjgzRm9m5zecxO74/6BXbQ+pD88NqTJ9yJanvY3ChBEB0elZvDenkR083HC/OFdjcrmlNeirFpuciertE6ByWtP6FwTCwXYsGBIu91y34Cfqx3uiQzAnoRcPDHGujPe3v7OCHS3R3ZZrTb2XYaef5s5/HQyjfc7oQAI8+bfMKHPA4MDdWKq7b+uOSj9tem98Fh0iPb6U2PD8dTYcMiVatiKhdoNFxklNdh4Kl3nnqO7e+HR4Zqjm16a3ANrDjUujeWU12L98VTIlWr83z0RKKysQ0xSEV7909Cq+9bdEejq4aA9As7HRdcB/JMHIvHN0VvYZSRcy/YnozE0pFEhXD6+G3LLa/H2PY3x7+xsRPj8wUhkltZg6ZiwDmPZEQoFeHhIEP6Iy0I2z7FaX/Hswr6SVY5auUpHqbU2DMPgo/1J2HAyHZMjfPHd/MHI4Nio8/KUHriUWY7oME+Ds6Cbgo1IqHNCBdG+6RitjSA6EEduFGidbOcOC+Z1tmcYBtO+OIHKOiWOvTzO6G7L7+qdvBu4NzIAT40Nb/dKXQNrH4rEW3f3ho+zdZfiJGIR/np6BM6ml8LXWYKHfzirPTfUHHLLa2FnI8K285naa672Njqx87Y9MdyiCPfPjAtHRIALauUqPPPrJQBAkIc9HuGxIjb4ZrHLpkqmRICrHQ6vGAsBBDrKwnMTu+O5id1RLVOiz9sHtNf3Xc3D8DAPLP/tsk78uAYeGhKIBSNCdOoje6cfAHTzccIXcwbiw1n98N6eRKQXVyPC3xVqhsGRpAI8M64bhoXq+lW9zHGkFwDtZpeORmD9hoCGHcNsqmRK/HUpW/v53fv6YF5UV4z55Bhyymvx7bEUdPd1gkrNYNYg6z//7oQ8fH9cMwn571o+DlzP156CAGiCk699aABCjPQlROeHFDuCsDLXciq0/x+8no+pffygZhiI9WK9JeVXorJOs4Ty4PozOP+/SSiukkGmVBvsyPvvamPYhml9/PDlHO6zM9srYpHQ6kpdAz4udrg3MgDVMiWEAqCoUob8ijr41cfYKpDW4ZeztzE0xANjenhrf5dVWoPJa4+jTqFRglzsxLj01mSIRUKcSyvB3qt5mD+8q8Xn7goEAoyvPyz8whuT8NWRW5g5sIvB+9fH3lYEFzsxpPV1ol+gq9GldUeJJvRKgyKbL63D0q0XDeTuGxAAf1d7vDK1p1ap+99dvfDXpRwsHsVtQXWwFWP1rP4611rqRIr2RndfjWXqz0vZWHVfHzixrI0747K0p48sGRWK+VFdIRQK8NbdEXjql4v4hhUD0NNJgrGs+mYN2EolADzJet//u6sXlo6xfnxAouNBih1BWBl2mIWnf70EXxcJ5Eo1djwVrbNL9I96/ycAKK6SY11MCn48mY6KWgV+emwI4m6XYXtcFoaHeSCjpAZioQB7nxuNcG/HDqXUtRaOEjF6+bkgMU+K8xmluDcyAGdSi7H+eBpO3CyCUADse340evo6Q6VmMPqTYzq/HxDsrlW+osI8rRJvzdtZgvdm9jVb3s5GpFXszNlxuGnBUJy4VYQP993QKqi2YiE+mtUP3xxLwYhwT7x3X1+D+rJ0TDgpATz0D3TT/v/azgR8PXcghEIBSqpkOF8fP/DVaT3xzLhuWrmpfXwxLMRD+z0AfLI/CaO7eVlth7ZKzSC2fgf8+zP74s1duptZZg5s/Y0bRPuEFDuCsCI1cqVO+BFAc7wRAPx2Pgtv3R2B4ioZNp5K1y7XNsAOKfDDyTScT9cMEvuuany0hoS4o6efZdajO43RPbyQmCfFc79dhkqtxot/NJ48oGaAaV+chJeTLedu20dN+EO2Bj18nVFYH3fMnLMsQ7wcEeLliIFB7rjnG81O1/+7OwKzBgW2yFLgnYC/q502rt3eq3lwsBVh8ehQzPjqFFT1UbHDvHT9zQQCARaNCtVR7K7nSrHnah6m9fHDltgMjOruhV5+urvCK+sU+O18JiID3UxOJLLLaiBTqiERCzF3WDD2X8vHqRTNLtjBXd1bzCJOdDwETEuFbO+kSKVSuLq6oqKiAi4uloVuIDo/Iz86qg1h4WgrMohd9sy4cBy4no/UIs3ymUAAnHhlPKZ9cYIzzhmbtQ9H4v6BNFgbI7WoChM5IuTb2Qi1Fi02I7t5YumYcPQJaB+R5DOKq/Hi9ng8M64bJnMctWaMkioZSqvl6G7h0jFhiErN4PGN53EqpRi2IiGiwz1x/GZjkO19z41GRIBu/88wDGKSi9Cniws++i8Jf13ShIzpE+CC67lS+LnY4djL43T8Jb88fAtrD2smdJsXDsW4nvznMh+8no+lWy+il58z9r8wBnKlGkn5UggFAvi72sGzHdRfouWwRPegI8UIwkwUKrXRsyTlSrVOXDL2kk4D62JStUpdg0yQhwMGsUJBhLN2YM4cEIBPZvfH70uHk1JnBuHeTjpBdRs4umIc5zFS6x4ZjLE9vNuFUgdoLHB/PzPSYqUO0Ph0kVJnHUT1O85tRALIVWodpc7ORoiunoanUggEAozv5QMfZzs8wLKWXq8/Vi1fWofTKbpx5q7lNvrjsl0zuNh5UeNf178+pIytWIj+gW7o28WVlDpCB1LsCMJMlv16CUPeP4RcjqCyAAx2YzY4YQPAFw8P4PzNK/VHar02rRdsxUIsGhmqjdEGAJMj/PDQ0CAMb+HzNTsTd7POCp07LBgZH81AgJs9nhobjuurpqJ/oCu6uNnj0wf6w9XBxsidiDsZiVikY0HzcLTF/90dgb+fGWkyfEtUmCeC6zdATertg7D6Xaonb+mew3uzoFL7f0xyEeoU/BPHS/XHyT08NMii5yDuPMjHjiA4aIjaH+Bmj+cmdkdueS0OJhYAAA7fKNDGI/vqyC34udjhoaFBBordnKHBOJtWgkUjQzFzYBc4SsR4YkscvJ0lGBbqgeFhnhhVf25m3y6uSHh7CmxFQggEQHSYJ1KKqjCqW8ueq9kZ6RPgggm9fFBSLceLk7rrfOcoEePf5aPaKGdER2P9/MHILquBXKmGq72NwRm+fIiEAvy+dDhK62NUHriejye3XsSJW8XILa+Ft7MECpVaG1JFIhaiVqHCiZtFmFIf0JpNlUypDRytf0wfQehDih1BcHA9V6qN2v/k2DDsv5av/a4hcGlmSY02UOzAYDeU1egeoxQR4IKDL47Vfp4c4YuMj2bwpsmOlbZ18TAIBAKrH2p/JyAQCLBxwdC2zgbRCRAJBejq2bSYcAFu9ghw08TEiw73hK1IiPTiaoz46Chm9PPHk2PDwDCAp6Mt7h0QgE2nM7B060X8s2wkIoPcAGgmmAKBAMeTNZY+D0dbg9iDBKEPLcUSBAdsJS0uowwxLB+bf+JzIFeqIa1TsK7las//BMDpz2UJYpGQlDqC6CS42Nng3gGN5/nuvZqHOT+cBQD08nfGg4Mbl1df2XkF2WU1CHl9L0JX7sOjG85h2TZNoOtBPGfXEgQbUuwIgoO88jrt//N+OocTLMWuQCpDfFa5jj/MN8dScKh+qfaRqGBOB36CIO5c3rhL96zWmvqNWA8ODkJEgAvWzx8MALhZUKU9fxcATt5q3HDx0BDaQEWYhhQ7guAgt4J7g8T4nppI8hcySrUdcwMNB9IHexjumCMI4s7G3dEWWxYNg7dz4w7WMC9H3FdvyZvW1w+rTJzu0bC0SxDGIMWOIDhg71ZrwMPRFv26aEIN5FXUopZnB5uHg22L5o0giI7JmB7e+G7eIO3nu/r565wK8lh0VwTUH4Xn7SzBu/fpKnoNx+QRhDFIsSMIPRiGQUK2Jr7U8xMbd1W+c28feDhqlLbSajlvaIJxPa17PiRBEJ0HX9bO2tHddXe9CwQCvHtfXzwSFYx9z43GY9Eh+PGxIdrvadJImAPtiiU6PQzD4FRKMfp1cYWbGR3jmdQSZJfVwlYsxD2R/vjyyC0A0M6kAaCkSm6wFAvAopAIBEHceXRxs8f4nt4QCYWc5wFPivDFJFaA6skRvvh1SRQcJWKrnTtLdG5IsSM6PTvisvHqnwkYGuKOHU+NMPj+UmYZnCRi9KiP2v/x/iQAGkflcO/GIMPh3k6QKTXHUpVWy7WnUNwTGYDdV3IBgHayEgRhFKFQgE0Lh1n0m5EUz5KwAFLsiE7P54eSAQAXMsq019RqBhtOpeNceikO3yiAq70Nzr8xEQoVg2s5mmXYZeO7QSAQ4OSr41GrUMHd0Va7FFtSLdf62NnbCPHlnAFYsf0K1vKcMEEQBEEQrQEpdkSnJqe8FgVSmcH1g4kF+GDfDe3niloFlvwch/PppVAzmuUSf1fNDrQg1i7XQHd7CAQai11miSZqvL2NCPcN6IL7BnRp4achCIIgCOOQYkd0as6nl+h8LqqU4Z1/r2Pv1TwDWXa8qEWjQjnv52xng56+zkjKr8Sp+gO97W2pGREEQRDtAxqRCKuRU16Lvy9l43JmOe4b2AX3RgaY/lELk5gr1fk89IPDOp97+7ugb4ALdlzM1l6bNagLFo4I4b1nnwBXJOVXIqdcE+vOwVbEK0sQBEEQrQkpdkSzUarUeO73y9h3tfE81RO3ijCtjx9sxW0bUedGnmE8uga+fWQQZvT3h0rNIMDNHv26uOrsRuMjzFv37EhnO2pGBEEQRPug3cSxO3HiBO655x4EBARAIBBg165dOt8vWLAAAoFA52/atGk6MqWlpZg3bx5cXFzg5uaGxYsXo6qqSkcmISEBo0ePhp2dHYKCgvDJJ5+09KN1Sr49loJXd15BgbQO59NLdZQ6AFCoGKQWNZb9wev5GPnRUe3u0daAYRhcy9VshPj7mRH4cs4A9O3ign+Xj0TGRzMwo78/AM1O1hcn9zBLqQOAbj5OOp+d7ehQboIgCKJ90G5MDdXV1YiMjMSiRYswa9YsTplp06Zh06ZN2s8SiUTn+3nz5iEvLw+HDh2CQqHAwoULsXTpUmzbtg0AIJVKMWXKFEyaNAnr16/H1atXsWjRIri5uWHp0qUt93CdjJIqGT49oNlpuj0uG327uHDK7b6SC7FQgHBvJ7z2ZwLKahR49rfLGBDkht/OZ2LhyFCd43UAoE6hQm55Lbq420OmVMOliUoTwzBYF5OK8hoFbEVC9PJzwcBgd6tscNAPQOwkaTfNiCAIgrjDaTcj0vTp0zF9+nSjMhKJBH5+fpzf3bhxA/v378eFCxcwZIgmUvfXX3+Nu+66C5999hkCAgLw66+/Qi6XY+PGjbC1tUWfPn0QHx+PNWvWkGJnJkeTCrBoc5zOtWs5Gj+2d+/rgx6+zjiWVIjvT6RhXUwq1sWkGtxj9CeaA67XxaTCx1mClyb3wJxhwQCAFTuuYG9C48aG0d298P2jg+Fg4QaFlX9dxe8XsgAAz0/qDnsr+sFJxCKd2HUutBRLEARBtBPazVKsOcTExMDHxwc9e/bE008/jZKSxh2PsbGxcHNz0yp1ADBp0iQIhUKcO3dOKzNmzBjY2jaePjB16lQkJyejrKwxxhkbmUwGqVSq83cns/nMbe3/fQJ0LXXdvJ0wPMwTc+uVNHMorJTh9b+uYs2hm4jPKtdR6gDNTtU/WRsbzKFapsTfl3MAADP6+2PpmDCLfm8O3k6NlkZaiiUIgiDaCx1GsZs2bRq2bNmCI0eO4OOPP8bx48cxffp0qFSaILH5+fnw8fHR+Y1YLIaHhwfy8/O1Mr6+un5UDZ8bZPRZvXo1XF1dtX9BQUHWfrQORWZJNQBg0chQ7Hl2FNY8FAkAsLMRope/RtEL8XJEdJinzu+6+Thh2xNROtfmDG0sy6+O3MLMb09zpvnO7kRU1CgMritVavx7JRfXcipQIK3DxlPpqJErcSixADKlGl09HfDN3IGwEVm/mrOXkJ3IYkcQBEG0EzrMiDRnzhzt//369UP//v0RHh6OmJgYTJw4scXSXblyJV566SXtZ6lUescqdzKlChn1QXmXjA6FQCDArEGBGBrigVqFSnsqAwD88NhgrD10C3sScrFu3iAMqT8T8aXJPbDm0E3cP7ALPprdHyO6eeG53y4bpCUWCrBu3iAs3XoRKjWDvy9no7xWgdslNQj1csQz48Lx9dEUfHnkFsRCAZRqBgDw7p5E7T2m9vGDQNAyR3yN7eGtPXqM/dwEQRAE0ZZ0GMVOn7CwMHh5eSElJQUTJ06En58fCgsLdWSUSiVKS0u1fnl+fn4oKCjQkWn4zOe7J5FIDDZp3Kn8ejYTAODmYANf1kH37JMZGnC2s8H/3ROB/7snQuf68vHd0MvPGcNCNYrevZEBuKe/P8prFDhwXWM1ndbXDxW1CnT1dMTj0V3xc+xtvLM7Uec+aw7d1P7foNSx8XWRYNFI7iDD1iAiwAWbFg6FTKGGqz0txRIEQRDtgw6r2GVnZ6OkpAT+/pqQFdHR0SgvL8fFixcxePBgAMDRo0ehVqsRFRWllXnjjTegUChgY6MZjA8dOoSePXvC3d29bR6kA3HyVhEAzTJsUw+7FwoFmNJHV4kWCARwd7TVbqAAADcHjRXs3gEB+Dn2NvhwkoghEgpQUavAvKhguNprlM5Hh3eFsIl5NJfxPX1MCxEEQRBEK9JuFLuqqiqkpKRoP6enpyM+Ph4eHh7w8PDAqlWrMHv2bPj5+SE1NRWvvvoqunXrhqlTpwIAevfujWnTpuGJJ57A+vXroVAosHz5csyZMwcBAZoTEB555BGsWrUKixcvxmuvvYZr167hyy+/xNq1a9vkmdsz+6/l4bODN/HMuHDMGhSIS5llOJasUexGdfdqtXwM7uqBJaNC8dOpdKye1Q939fXHwz/EoqxGjoeHBOHBIUGwFQtRWi1Hb3/usCsEQRAEcacgYBjGcB2rDYiJicH48eMNrj/++OP47rvvMHPmTFy+fBnl5eUICAjAlClT8N577+lshigtLcXy5cuxe/duCIVCzJ49G1999RWcnBoDyiYkJGDZsmW4cOECvLy88Oyzz+K1114zO59SqRSurq6oqKiAi0vHViQuZZZhxfYreOOu3tiTkIuk/Er88WQ07G1EePD7WFzJKgcAnF05EXd9dRKl1XKM7OaJrYuiWtwaxoZhGBRWynSWfwmCIAjiTsES3aPdKHYdhc6k2PV9+wCqZEqda+yNCPrY2Qhx4pXx8CEFiyAIgiBaDUt0jw4T7oSwLmXVcgOlDuDeiNDAW3dHkFJHEARBEO2YduNjR7Qu/13jjtvH5qfHhqBarsQHe29g5sAumDPU/MDDBEEQBEG0PqTY3aHsrw8t8uq0nvhkf7LOd4tHhWLl9F4Q1wf2tcb5qgRBEARBtDyk2N2hZJVqAg0PCnZHzMvjEJ9VjnBvJ+SU12JSbx+tUkcQBEEQRMeBFLs7lEJpHQDAx1mCEC9HhHg5AgD6Bbq2ZbYIgiAIgmgGpNjdIajVDDJKqlEtU2HJlguolmvO2KXNEARBEATReSDFrpXYcCodexNysXpWf/T0c27VtG8VVGLy2hOc3zlJqAoQBEEQRGeBHKlagKzSGlSzQonkVdTivT2JuJRZjqlfnMCizRdQXiNvlbyo1Qye/vUS53cRdFIDQRAEQXQqSLGzMtvOZWL0J8cw9YsTOHmrCFmlNQa7To8mFWLuj+eg5ogZ986/1zH202NIK6qySn4O3yhASqHuvbycbPH9o4Ox59lRVkmDIAiCIIj2Aa3DWRFpnQL/+/sqACC7rBaPbjiv8/19AwJQVafEkaRC3MiT4mRKMUZ188KGU2nIKatFVlktjiYVAgAmfH4c25ZEITrcEzsvZuNQYgGWT+iG/oFuFuXpTGoJACDQ3R7r5g3CyVvFWDQyFPa2ouY/MEEQBEEQ7QpS7JpIXEYpRvdxwumUYoiFQvTwdcJH/yVpv39wcCB2xedAodJY5dwcbPDatF4IcLPHazsT8EdcFnbEZeHxjef5ksDin+MwMNhNq5wl5klx8tXxEAgMz2ktkNZhyc9x8HSyxatTeyEiQLPMej69FADw+vRe6B/oZrFiSBAEQRBEx4EUuyayYNMFCCXXOb/7/MFIzB4ciNem94JIIICrvQ1UDAOb+thwfQNd8UdcFvYk5Bn8tqevM966OwLzN5xDrUKlVeoAjRVwXUwqnhkXjj0JebiaU4Gevs6wtxVh+bZLaFjZraxT4rVpvXD8ZiES86QAgGEhHlYuAYIgCIIg2huk2LUAswZpTmrwcpJorwnRaGUbGuLO+ZtV9/aBk0QMgUCAP5+OxortV6BQMegf6Ipwbyd8cywFnx5IxqcHkg1+z+bi7TI89H2s9nMvP2cKa0IQBEEQdwCk2DWRZyd0w4mMarw/sy8qahV4b08iMktr8My4bpxLpWx6+bngn2UjkZgnhbuDDab19TeQGdzVAzGvjNd+ZhgG8VnlOJVSzHlPFzsxVkzpCXsbEV79M0F73VYkxDv39mniUxIEQRAE0ZEQMAxjuDWT4EUqlcLV1RUVFRVwcdENF8IwjEmlrjkUSuuw8XQGzqWXYFJvXzwa3RX/++sqJvTywf0Du2jTPpRYgEOJ+Zg9KBBh3k7wdpaYuDNBEARBEO0VY7qHPqTYWYglhUsQBEEQBNFcLNE9KI4dQRAEQRBEJ4F87CykwcAplUrbOCcEQRAEQdwJNOgc5iyykmJnISUlmvAjQUFBbZwTgiAIgiDuJCorK+Hq6mpUhhQ7C/Hw0MSDy8zMNFm4hPlIpVIEBQUhKyuLfBetBJVpy0Dlan2oTFsGKlfr01ZlyjAMKisrERAQYFKWFDsLEQo1bomurq7UUFoAFxcXKlcrQ2XaMlC5Wh8q05aBytX6tEWZmmtMos0TBEEQBEEQnQRS7AiCIAiCIDoJpNhZiEQiwdtvvw2JhIL+WhMqV+tDZdoyULlaHyrTloHK1fp0hDKlAMUEQRAEQRCdBLLYEQRBEARBdBJIsSMIgiAIgugkkGJHEARBEATRSSDFjiAIgiAIopNAih1BEARBEEQngRQ7giAIgiCITgIpdgRBEARBEJ0EUuwIgiAIgiA6CaTYEQRBEARBdBJIsSMIgiAIgugkkGJHEARBEATRSSDFjiAIgiAIopNAih1BEARBEEQnQdzWGehoqNVq5ObmwtnZGQKBoK2zQxAEQRBEJ4dhGFRWViIgIABCoXGbHCl2FpKbm4ugoKC2zgZBEARBEHcYWVlZCAwMNCpDip2FODs7A9AUrouLSxvnhiAIgiCIzo5UKkVQUJBWBzEGKXYW0rD86uLiQoodQRAEQRBNJqO4GpvPZECuUqNPgAsm9/ZFYp4UVTIl7u4fYCBvjgsYKXYEQRAEQRCtCMMw+ONCFt7dk4gauUp7/Y2/rwEA/FzsOBU7c2g3u2JXr16NoUOHwtnZGT4+Ppg5cyaSk5N1ZOrq6rBs2TJ4enrCyckJs2fPRkFBgY5MZmYmZsyYAQcHB/j4+OCVV16BUqnUkYmJicGgQYMgkUjQrVs3bN68uaUfjyAIgiAIAiVVMizdehGv/3UVNXIVokI98OSYMDjbaWxtYd6OiArzgEypMnEnbtqNxe748eNYtmwZhg4dCqVSif/973+YMmUKEhMT4ejoCAB48cUXsXfvXuzYsQOurq5Yvnw5Zs2ahdOnTwMAVCoVZsyYAT8/P5w5cwZ5eXl47LHHYGNjgw8//BAAkJ6ejhkzZuCpp57Cr7/+iiNHjmDJkiXw9/fH1KlT2+z5CYIgCKIzolCpcSixAOfSSlCnUCPU2xEPDA6El5OkrbPW6sQkF+KVnQkoqpTBRiTAK1N7YsmoMAiFArw0pQeUKgaOkuapZgKGYRgr5deqFBUVwcfHB8ePH8eYMWNQUVEBb29vbNu2DQ888AAAICkpCb1790ZsbCyGDx+O//77D3fffTdyc3Ph6+sLAFi/fj1ee+01FBUVwdbWFq+99hr27t2La9euadOaM2cOysvLsX//fpP5kkqlcHV1RUVFBfnYEQRBEIQREnOleOqXi8gsrdG57uUkwYIRXXHfgC4I8nBoo9y1DgzD4FJmObady8Sfl7IBAN19nPDFnAHoE+Bq1j0s0T3ajcVOn4qKCgCAh4cHAODixYtQKBSYNGmSVqZXr14IDg7WKnaxsbHo16+fVqkDgKlTp+Lpp5/G9evXMXDgQMTGxurco0HmhRde4MyHTCaDTCbTfpZKpdZ6RIIgCILoVBRXyfDp/mRczalAVmkNKmUaVygvJ1vcG9kFLvZi7L6Si9Sianx28Ca+PHILY7p7Y2xPb4zp7o0QL8c2fgLrsv1CFtYfT0VacbX22oIRIXh9ei/Y2YhaJM12qdip1Wq88MILGDlyJPr27QsAyM/Ph62tLdzc3HRkfX19kZ+fr5VhK3UN3zd8Z0xGKpWitrYW9vb2Ot+tXr0aq1atstqzEQRBEERnJKO4GvN+Ooec8lqd61P7+GL1rP7wcLQFADw5Jhx/X87BnoRcnEktwZGkQhxJKgQATOrtizUPR8LFzqbV829NqmVKfLw/CVtibwMA7G1EmN7XD49EBWNIiEeLpt0uFbtly5bh2rVrOHXqVFtnBStXrsRLL72k/dwQS4YgOgq1chXWH0/F4RsFUKkZ3DegCxaMCIG9bcvMFgmCuPOQ1inw6EaNUhfi6YDXp/dCiJcj/F3t4Wqvq6TZ24rwSFQwHokKRmKuFDE3C3HiZhEuZJTh8I0CzPz2ND5/MBIDg93b6GmaTlK+FD+cSMPhxAJI6zTWyiWjQvHC5B5waqbvnLm0O8Vu+fLl2LNnD06cOKETXdnPzw9yuRzl5eU6VruCggL4+flpZc6fP69zv4Zds2wZ/Z20BQUFcHFxMbDWAYBEIoFEcuc5eBKdg/Tiajz9y0Uk5VdqryXtT8I/8TnYujgK3s5UtwmCaD4bT6Ujq7QWXdzsseOpEWb3LREBLogIcMEz47rhWk4FFv98AWlF1XhwfSxenNwDS8eEwUbUbgJ48FIlU+KVHVfw37V87bUubvb4aHY/jO7u3ap5aTeKHcMwePbZZ/H3338jJiYGoaGhOt8PHjwYNjY2OHLkCGbPng0ASE5ORmZmJqKjowEA0dHR+OCDD1BYWAgfHx8AwKFDh+Di4oKIiAitzL59+3TufejQIe09CKKzkFVag9nfnUFptRxeThK8OrUnlGoGaw4lIym/EvevO40FI0IQ6uWICb186Oxjok3JKq3B0aRCVNQqUC1XwsXOBr39nTEi3KvFfJEI65BfUYfvj6cBAF6f3qvJE8a+XVxx8IWx+N+uq9ibkIdPDyRj58VsPBbdFXOHBbfbelBYWYdFmy/gWo4UAgFwV19/PBbdFQOD3WErbn2ltN3sin3mmWewbds2/PPPP+jZs6f2uqurq9aS9vTTT2Pfvn3YvHkzXFxc8OyzzwIAzpw5A0AT7mTAgAEICAjAJ598gvz8fDz66KNYsmSJTriTvn37YtmyZVi0aBGOHj2K5557Dnv37jUr3AntiiU6AkqVGrO+O4OE7ApE+Ltg88Kh8HGxA6Cx4i3YdB63Sxp3qT04OBCfPNCflDui1amWKfH98VR8cywFao7RKNzbEY9EdUVlnQJqNYOefi6Y2Nun3Q7ydyIv/RGPvy7nYFCwG/58ekSz+xGGYfDXpRx8uO8GSqrlADTWr3E9vTFnaDD6BRruJE0prMT+a/m4lFmOW4WVcLQVw9tZgql9/DBnaBDELWT1q5YpMfPb07hVWAVPR1v8+PgQDGqBJWRLdI92o9jxVYRNmzZhwYIFADQBilesWIHffvsNMpkMU6dOxbp167TLrABw+/ZtPP3004iJiYGjoyMef/xxfPTRRxCLG42TMTExePHFF5GYmIjAwEC89dZb2jRMQYod0RH46WQa3t97Ay52Yux/YQwC3HTdDMpr5Fh/PA0phZU4mlQINQPMGtgFr9/VCz7Odm2Ua+JOI6WwEk9suYj0+h2Dw0I8EO7jCAdbMUqqZDiVUoziKrnB7zwdbfHk2DA8Opx8Rduay5lluH+dxrjyz7KRiAxys9q9K+sU2HU5B98cS0GBtDE6RZCHPWyEQjAAZApVvZWXP5hvT19nfDirLwZ3te6mBYZhsPy3y9ibkAcfZwl2PBWNrp4ts6u3Qyp2HQVS7Ij2TnZZDSavOYFahQqrZ/XD3GHBRuW3x2Xh9T8ToGYAW5EQ9w0IwFPjwhHu7dRKOSbuRFIKqzDnh1gUV8nh72qH16f3wr2RATqT/AJpHdYdS0FRlUy7S/LkrWLtrkt3Bxu8P7MfZvT3b5NnuNNRqxnM+u4M4rPKMXtQID5/KLJF0qmWKXEkqRBHbxRgT0IelBymXRuRAKO6eWFcTx/09HOGTKlGUp4U62JSUVGrAACM7+mNUd290TfAhXOZtEauhFLNmL0j97uYVHy8Pwk2IgF+Xzrc6oojG1LsWhBS7Ij2jFypxtwfz+Li7TIMC/HA70uHQyg0vSxyLq0EH+9PwqXMcgCAnY0QDw0JQv9AN9zd35+WvQirUqdQYeoXJ3C7pAYR/i74ZUmUNhSGKRQqNf6+nIOvjtxCdplGwXt5Sg8sG9+NXAlamb8vZ+PFP67AwVaEYy+Pg69Ly1v7C6V1yCipQcOrthUJ4WpvA29nCeeJDWXVcnyw7wb+vJQNtrbjbCdGmJcjvJ3t4GInxo38SiTna+LUju3hjTdmRKCbD//kdk9CLpZvuwwAeO++Png0OsRqz8gFKXYtCCl2RHvmw3038MOJNDjbibF7+SiLg31evF2Gzw8m40xqifaah6Mt5kUF474BXdDNxwmF0jpcy63Anit5yC6vRb8urpjY2wfDQz3NUiIJYl1MCj7ZnwxfFwn+e36M2UodG6VKjY/3J+HHk+kAgOcmdMNLU3qa+BXBprCyDrsu5yC7rBYBbva4JzIAXdwMo0NwUS1TYsLnMSiQyvDK1J5YNr5bC+e2eaQXV+PvyzlIypPi4u0yre8eH84SMTYtHMoZc+6f+By8vOMKFCoGC0aE4J17+7RUtrWQYteCkGJHtFdKq+UYvvoI5Eo11s8fjGl9/Uz/iAOVmsGehFxcz5Vib0KeQbBRPrp6OuDhoUFYMCIEDrbtZsM90c4oq5Zj1MdHUS1XYc1DkZg1KND0j4yw+XQ63tmdCABYP38QpvWlZVlz2HgqHR/vT4JMqdZeEwiAhSNC8fr0XiZ3c779zzX8HHsbQR72OPTi2A5l1VepGSTmSpFXUYuiKhnKaxQI93bEgCB31MiVeO3PBFzIKIOjrQg/LxqmVe7OpBTj66MpiE3TTHzviQzAFw8PgKgVJrSk2LUgpNgR7ZX1x1Px0X9J6NvFBbuXj7LKspRSpcbBxAL8dj4TZ9NKoFAxEAqAEC9HDO3qgX6BrkjILse+q/moqj86qF8XV/z6RJTZfirlNXIUV8nh6WgLd0dbSOsUkIiFkIg7zkBBmE/Dxp7e/i7Y++woq1h539uTiA2n0uFoK8KuZSPR3dfZCjntvOy/lo+nfrkIABgQ5IYR4Z6IzyrXWuqHh3lg04JhvBtT9ibkYdm2SwCATQuGYnwvn9bJeCtRK1dhyZYLOJ1SArFQgFHdvVBaLUdCtuaoU7FQgKfGhuOFSd1bbLetPqTYtSCk2BHtEZWawZhPjiGnvBafPNAfDw2x/uko1TIlqmVKONvZGHT4NXIl9iTk4aP/klBaLceQru7YsniYScvdjyfSsPq/G9owF462IlTLVXCwFWF8Tx9EBrli5oAu2lAt7QG1msH3J9Jw4Ho+cstrMSLcEy9P7YlA9859kLk1UKkZTF5zHGnF1fjw/n54JMr4xh5zUarUmL/hHM6mlSLUyxH/LB/Z4Y+kaimuZlfgkR/PolKmxKKRoXjr7t7aSeChxAK8+Ec8qmRKjO7uhR8eHWLQ1tOKqnDvN6dRJVPi6XHheG1ar7Z4jBanVq7CC39cxoHrjQcaiIUCzIsKxpNjww0iDbQ0pNi1IKTYEe2Rw4kFWLIlDm4ONji7cmKbLYtcz63A3B/OQlqnhK+LBBN6+WBKHz+M6+FtYEGMSS7Egk0XAAAOtiLU8IQrcLQV4YVJPbB4VGib+/Cp1Axe+zMBOy9m61z3dLTF948ObvEzIDs6Oy9m4+UdV+BsJ0bsyolWPWKpuEqGe78+hdyKOozt4Y3vHx3coZYHW4OM4mrMXHca5TUKRIV64JclUQanOly8XYpHN5xHjVyFYSEe+GnBEK2SLK1T4KH1sUjKr8SwEA9seyKq1SxWbcXZtBLcyJPCx9kOkUGubTaBI8WuBSHFjmiPPLrhHE7eKsbSMWH431292zQvlzPL8MSWOJ34Y3OHBeHD+/tplbubBZV4+PtYlNUoMC8qGB/c3w8VNQoUVdXB39UeKYVVOJZciMM3CnAtR7NT7YHBgfh4dv9W8Wfh451/r2PzmQyIhAL8767e6OnrjNX/3cD1XClsRUJ8/chATO3TNN/Gzs7lzDI8vvE8pHVKrJzeC0+ODbd6GgnZ5XhwfSxkSjV6+TnjhUndMaGXb5tE/29v1ClUeOj7WCRkVyAy0BW/PjGcV7G+kFGKRZsvoLJOiQh/F/y8aBjcHWywcPMFnLxVDC8nW+x9bnSr7IIlNJBi14KQYke0N27kSTH9y5MQCoCYl8cj2LPtlwRr5SqcTSvB0aRC/HruNtQMEOzhAKVKDRXDaION9u3igp1PjeC1rKjVDH49dxtv/3sdagaY0d8fnz0Q2SZBaTecSsd7ezRO+l/OGYD7BnQBoFmGfvGPeBy4XgCxUIDNC4dhVHevVs9fe2ZPQi5WbL8CmVKNIV3d8cuSqBazpsWmluCpXy5qY5e5Odigf6Ab+ga4wM3BBoVSGUqqNbHzZvT3R58Aw1MMOhtqNYMX/ojHv1dy4eZgg/+eHw1/V+NLiddzK/D4xvMorpLDx1kCTycJbuRJYW8jwvYnozlPfyBaDlLsWhBS7Ij2xrO/XcbuK7mY0d8f3z4yqK2zY0DD8hsboQAY08MbH97fzyxflf+u5uG53y9DoWLQxc0eL07ugckRvnC1bx0/qv3X8vD0r5fAMJqzMJ/SszYpVWq88Ec89iTkwUkixtbFwzCwBY4V6mgwDIPfzmfhzV1XoWaAib188NXcgZzxxqxJSZUMP55Mx9+Xs3VOLOBiRn9/vHNPnyafb9oR+OxAMr45lgKxUIAti4ZhRDfzJh7pxdWY/9M57c54Oxshvn1kECb29m3J7BIckGLXgpBiR7QnruVU4O6vTwEA9j43qt1aH27kSZFWVA1/NzuIBAIEezjA3cLYZaduFePVnVeQW1EHAHC1t8H6+YMRHe7ZElnWcj69FPM3nINcqcb84cF4776+nDuOZUoVHttwHufSS2FnI8SXc+7sZdmyajle/ytB63w+e5DmPOLWXEpXqNRIyK5AYp4UlzPLAAAudjbwd7XDlexy/HctHwwDRPi7YPtT0Vb1+WsvbI/Lwqs7EwAAnz7QHw9auLGqUFqHTWcy4Gpvg1mDutCRg21Eiyp2AwcONDuMwqVLlyy5dYeAFDuivcAwDB758Rxi00owc0AAvpgzsK2z1OLUyJX46WQ6/rqUjYySGtjZCLHzqRHo26VlFNr4rHI8+tM5VMqUmBzhi/XzBxtVTKpkSizfdgkxyUUQCIC3ZkRg0ajQFslbc0gprMS6Y6koqKyDUsXAy1mCQHd7eDlK4O0swbie3nBzMK14MwyDs2mlOFsf18tWLISNSACVGvj5TAbypXWwEQnwytSeWDIqrM03v+hzLacCCzZplhvH9PDGhseHGGwm6MjsTcjD879fhlLN4NkJ3bCCAjh3WFpUsVu1apX2/7q6Oqxbtw4RERGIjo4GAJw9exbXr1/HM888g9WrVzch++0bUuyI9kJDLClbsRBHV4y9o8Jt1ClUeGJLHE7eKkaguz32PDvKLEXEElIKKzFr3RlI65QYFuqBnxfyx/Vio1Sp8X//Xse2c5kAgAm9fPD2PRHaw8GzSmuw63IOTqUUo18XVzw7oTtcHVpnSVmtZvDF4Zv47ngqFCr+rt/eRoTFo0LxzPhwzpA1dQoV9iTk4eczGbiaU8F7nzAvR3w1d2CLKd7WICG7HA9/fxa1CpV2I09HR61m8Pa/17H17G0AwL2RAfhyzgA6cq0D02pLsUuWLIG/vz/ee+89netvv/02srKysHHjxqbeut1Cih3RHqisU2DSmuMokMrw3MTueGlyj7bOUqtTUaPAPd+cQmZpDSb08sGGx4dYbeAqrKzD/d+eQU55LQYGu+GXxVEW+YUxDIMfT6bh0wPJUKgY2IqFmNTbBznldbiSVa4j6+Zggwk9fTCulw/GdPeCq70NZEo1SqvlkIiFcHewRZVciUPXC6BSMwj0sMfAIHeLN5AoVGqs2H4F/17JBQCM6+mNe/oHQCwSoKhShuwyTRT+lIIqJBdUAgD8XOzw0pQemNTbF1eyypGQXYFbhZU4eatYuznBwVaEKRG+cLITQ6FkoFCpIVep0c3HCUvHhHWIU0gOJxbgia1xYJimLVe2J+RKNVb+dRV/XsqGQAA8PTYcL07u0akskXcirabYubq6Ii4uDt27d9e5fuvWLQwZMgQVFfwzuY4KKXZEe+D//rmGLbG30dXTAQdeGHPHxuu6nluB+9edgVypxgf398W8qK7NvmdRpQwLN5/HtRwpQjwd8NczI5t0likApBZV4e1/ruNUSrH2mkAAjAj3RHSYJ/6+nIPUomqd34iEAqgZRntguXO9QllZf7IHoPEvnDM0CPOHd0WQh2lLbWFlHV7ZkYDjN4sgFgrw8ez+mD2Y+ygvhmFw4HoB3t+biOwy/uPkurjZ45GoYMwZGgRPp46/8eDLw7ew9vBNSMRC/Pl0yy3vtxQMw+BSZhne3HUdN/KkEAkF+OLhAbgnMqCts0ZYgVZT7Pz8/PDRRx9hwYIFOtc3b96M1157DQUFBdw/7MCQYke0JQzD4LvjqfhkfzIA4OdFwzC2h3cb56ptaTiiysFWhF+WRGFQM3ajXsupwKLNF1BYKYOHoy3+enoEQrwcm5U/hmEQc7MIN/Kk8He1w4hwL238L7lSjXPpJTiTWoJ/43N1zuUVCQVQqRu7566eDgjxdERyfiXypXXa65N6++ClyT0REaDbHzEMg/iscvx+Pgv/XMlBnUINOxshvps/GON7mj4Cqk6hws9nMrDptMZXLtjDAUNC3NHT1xl9u7hieJhnm8YUtDZqNYPFP1/AseQiBHnYY/dy6y/vtwR1ChX+vZKLrbG3tcvi7g42+OzBSNq92oloNcXuo48+wqpVq/DEE09g2LBhAIBz585h48aNeOutt/D666839dbtFlLsiLaiTqHCyr+u4u/LOQCA5yd2x4t34BKsPmo1g8c2nseplGI42Irw02NDzA7nwOZaTgXm/XQOFbUKdPNxwvr5g9DNp3XPHK1TqFBRq4BYKICHoy0UKgapRVWorFNicFd3rbJ3LKkQm89k4HRqsdayN6aHN5ztxAj3ckSlTIm9CXkorGwM9TEgyA3vz+xrsSVKrWZQWadsNT/AtoS9vD+upzc2PD7UqPJaWafA1ZwKSGsVGBbq2WTLblPJKq3Bos0XcKuwCoBm88p9kQF4dVqvTh2+5U6kVcOdbN++HV9++SVu3LgBAOjduzeef/55PPTQQ825bbuFFDuiLSiqlOHJrXG4lFkOkVCA/7s7Ao9FdyVn6HqqZUo8ufUiTqUUw1YsxDdzB2KKmaFGVGoGuy7n4K1/rqFGrsLAYDdsWTQMzh3grNG0oiqsPXwLu+v95vSxsxHirr7+mBsVjCFd3am+mMH13ArMWncGMqUaC0aE4P/ujtDZzatQqXE8uQg7L2bjaFIh5Co1gMYNJ8sndGsV14gauRL3fXMatwqr4OUkweJRoXh4aFCrK5dE60Bx7FoQUuyI1oRhGPx7JRcf7ruBAqkMLnZirJs3mE424KBOocJzv13GwcQCiIQCvDq1J54YzR9io1qmxI64LGw8nYHM0hoAwMhunvhu/uAOd4D8jTwpYlNLoGYYJOdXQqlmcFc/f4zu7nXH+l82h3/ic/D87/EAgMhAVzwxJgyRgW44cD0fP55M0wl6HOhuD1uxEGn1vpLh3o749MHIZrkEmMOK7Vfw56Vs+DhL8M/ykSZPkiA6Nq2u2MnlchQWFkKtVutcDw4Obu6t2x2k2BGtQWWdAkn5lfjmaAqO3ywCoAkd8ePjQxDu7dTGuWu/KFVq/O/vq9gelw0A6BPggi8eHoDuvo1LqgXSOvx6LhNbYjNQXtN47NSSUaF4amx4pz/UnDCPnRez8eauq6hTqA2+83KyxcwBXTB7cCB6+7vUbzjJx1v/XEdRpQxCAfDh/f0wZ1jLjIE74rLwys4ECAXAtieGY3hYywbpJtqeVlPsbt26hUWLFuHMmTM61xmGgUAggEqlauqt2y2k2BFNRa5UQyDQLP1V1ilRJVOiqk6JOqUKxZUynLhVhLSiaqQXV+v4RtmKhXhuQjcsGR1G1hczYBgG285n4sO9N1AtV8HZTowP7+8HW7EQu6/kYv+1fCjrNyWEejli8ahQzB4U2CbnzxLtm6JKGbbGZuCfK7m4XVKDHr5OWDQyFLMGBcJWbDgBKK+R4+1/r+Of+FwIBcC6eYMwra+/VfOUnF+J+749hTqFGi9P6YHlE7qb/hHR4Wk1xW7kyJEQi8V4/fXX4e/vb+C/ERkZ2dRbt1tIsSMsoUqmxA8n0nA6pRiXM8ugtqC1eTlJEBXmgZcm9yArXRMorpLhqa0XEXe7zOC7oSHueHxECKb39e9UOzuJlkOhUpsVC45hGKz86yp+v5AFW5EQmxcObdJmHi4q6xSY+e1ppBZVY3R3L/y8cFi7O82DaBlaTbFzdHTExYsX0atXr6beosNBih1hLpV1Cjy+8TwuZZZzfu8kEcPZTgw7GxHsbEQYHuaByEA3hHg5ItTLsdUOuO/MyJQqfLj3Bg5cL4CjRIQxPbwxe1Bgh4tRRnQsVGoGy369hP3X8+FoK8LvS6PRL7B5da5OocKTWy/i+M0i+LpIsPe50fDqBPEDCfNoNcVu6NChWLt2LUaNGtXUW3Q4SLEjTFEjV+Lg9QKsOXQTmaU1cLW3wfLx3TCupzdcHWxgbyOCo62YZtoE0YmpU6iwaPMFnEktgYejLX56fEiTN1RI6xRY8nMczqeXQiIWYvuT0YgMcrNuhol2TaspdkePHsWbb76JDz/8EP369YONja6FoTMqPqTYEcaoqFHg3m9P4XaJZpdlgKsdfnhsCFmICOIOpEqmxCM/nkVCdgXEQgHmRQUj0N0B3XycMLq7l1kbdYoqZXh843kk5knhLBHjp8eHIIo2S9xxtJpiJxRqKqW+bx1tniDuVD7Zn4R1MalwthNj8ahQLB4V2iHioREE0TJU1inw+p9Xsfdqns71AFc7LB0ThkejQ3j9PLNKazB/wzncLqmBl5Mtfl40DH0CaJJ4J2KJ7tGs05mPHTvWnJ8TRKeiTqHC7xeyAGgOErf2bjiCIDoeznY2+OaRgZia4IfLmWUorpLjdEoxcivq8M7uRGw7n4nhYZ6wtxXBRiiEQq1GuJcT1AyDzw/dRFGlDIHu9vhlcVSzj7cj7gyapdiNHTvWWvkgiA7PjrgslFbLEeBqh0l0RiNBEPUIBALcGxmAeyMDAGgmgTsuZuOT/Um4WVCFmwVVvL/t6euMLYuHac8XJghTNEuxA4CTJ0/i+++/R1paGnbs2IEuXbpg69atCA0NvaM2VRB3NuU1cnx55BYA4KlxFOSWIAh+7GxEeHR4V8zo549DifnILqtFrVwFuUoNhYpBXkUtymsUGNXNC8+MD4eDbbOHauIOolm15c8//8Sjjz6KefPm4dKlS5DJNEFVKyoq8OGHH2Lfvn1WySRBtGfyK+qwaPMFFFfJEerliLktFG2eIIjOhYejLR4eSv0FYV2aZVZ4//33sX79evz44486O2JHjhyJS5cuNTtzBNGWqNUMEnOluJ5bATVHZGGGYfBPfA7u+uokEvOk8HKyxbePDDIriClBEARBtATNstglJydjzJgxBtddXV1RXl7enFsTRJtSUaPA0q1xOJdeCgDo6umACH8XnE4pRrCnA4aHeiI2rQTXc6UAgN7+Lvjh0cEI8nBoy2wTBEEQdzjNUuz8/PyQkpKCkJAQneunTp1CWFhYc25NEG1GobQOj208j6T8SggEgEQsxO2SGm1sums5UlzL0Sh0ErEQT48LxzPjunGeHUkQBEEQrUmzFLsnnngCzz//PDZu3AiBQIDc3FzExsbi5ZdfxltvvWWtPBJEq3EurQQv77yCrNJaeDtLsGXRMPi52OG9PYnIKa/FvOFdIVOocPhGAextRHhtei/4u9q3dbYJgiAIAkAzAxQzDIMPP/wQq1evRk2NxpohkUjw8ssv47333rNaJtsTFKC4cyJTqvDZgWT8eDIdABDs4YBfFkch2JOWVgmCIIi2pVVOnlCpVDh9+jT69+8PBwcHpKSkoKqqChEREXBycmpSxjsCpNh1PmrkSjy+8TwuZJQBAOYMDcLK6b3h6kAnRhAEQRBtT6ucPCESiTBlyhTcuHEDbm5uiIiIaOqtCKLVyS2vRWm1HNUyJT78LwlXssrhYifGmocGYFIEBRcmCIIgOibN8rHr27cv0tLSEBoaaq38EESLcjixAN8cS0F8VrnOdVd7G2xaOBSDgt3bJmMEQRAEYQWapdi9//77Wn+6wYMHw9FR9xw7Wqok2gtqNYPV/93Q+tAJBYC3swQKFYPocE+8Pq0XhSohCIIgOjxN8rF79913sWLFCjg7OzfeSCDQ/s8wDAQCAVQqlXVy2Y4gH7uOh0KlxortV/DvlVwAwBOjQ7F0TDi8nSVtnDOCIAiCMI0lukeTAm+tWrUK1dXVOHbsmPbv6NGj2r+Gz5Zw4sQJ3HPPPQgICIBAIMCuXbt0vl+wYAEEAoHO37Rp03RkSktLMW/ePLi4uMDNzQ2LFy9GVZXu4coJCQkYPXo07OzsEBQUhE8++aQpRUB0EKR1CjyxJQ7/XsmFWCjAFw8PwBszIkipIwiCIDolTVqKbTDyjR071moZqa6uRmRkJBYtWoRZs2ZxykybNg2bNm3SfpZIdAfnefPmIS8vD4cOHYJCocDChQuxdOlSbNu2DYBG450yZQomTZqE9evX4+rVq1i0aBHc3NywdOlSqz3LnQTDMEjIrkBCTgUkIiHcHW0R7OGA8ho5ymrkGBTsDh8XuzbJW1pRFZZsiUNaUTUkYiG+mz8IE3rRxgiCIAii89JkHzv20qs1mD59OqZPn25URiKRwM/Pj/O7GzduYP/+/bhw4QKGDBkCAPj6669x11134bPPPkNAQAB+/fVXyOVybNy4Eba2tujTpw/i4+OxZs0aUuyaQJ1ChZd3XMGehDxeGbFQgOhwT0yJ8MW0vv6tZinbfy0Pr+xIQKVMCX9XO/zw6BD0C3RtlbQJgiAIoq1osmLXo0cPk8pdaWlpU2/PSUxMDHx8fODu7o4JEybg/fffh6enJwAgNjYWbm5uWqUOACZNmgShUIhz587h/vvvR2xsLMaMGQNbW1utzNSpU/Hxxx+jrKwM7u60I9JcVGoGL/wej/3X8yESCjCqmxeEAqBAKkNWWQ08HW0hFgmRUliFk7eKcfJWMd7ZnYg+AS4IcneAj4sEXdzs4eNihyFd3eHuYAs1w8DORgSRsOmTBoZhsPq/JPxwIg0AMCzEA9/OG0RLrwRBEMQdQZMVu1WrVsHVtfUsINOmTcOsWbMQGhqK1NRU/O9//8P06dMRGxsLkUiE/Px8+Pj46PxGLBbDw8MD+fn5AID8/HyD0Cy+vr7a77gUO5lMBplMpv0slUqt/Wgdkvf3JmL/9XzYioTYvHAoRnTz4pRLK6rCocQC/HctH/FZ5Zpl2+wK3vu62ttgWh8/3B3pj+gwT4hF5ruBMgyDVbsTsflMBgDgyTFheHlqT9hYcA+CIAiC6Mg0WbGbM2eOgSLVksyZM0f7f79+/dC/f3+Eh4cjJiYGEydObLF0V69ejVWrVrXY/TsiP51Mw6bTGQCAzx6K5FXqACDM2wlPjnXCk2PDcbukGkn5lcguq0WhtA7ZZbXILK3B1ZxGRa+iVoE/4rLwR1wW3B1sMCjYHdHhnpgc4Yuuno686ShVany4L0mr1H3yQH88NCTIKs9LEARBEB2FJil21vavawphYWHw8vJCSkoKJk6cCD8/PxQWFurIKJVKlJaWav3y/Pz8UFBQoCPT8JnPd2/lypV46aWXtJ+lUimCgu5MhYFhGGyJvY0P9t0AAKyc3gv3RgaY/fuuno6cylmtXAU1w0AgAOKzyrEnIQ/7r+WjtFqOI0mFOJJUiPf33kCIpwO6+zpjcm9fjOnhDZlShRt5UiTmSrErPheZpZrzit+7rw8pdQRBEMQdSbN2xbYl2dnZKCkpgb+/PwAgOjoa5eXluHjxIgYPHgwAOHr0KNRqNaKiorQyb7zxBhQKBWxsNOeAHjp0CD179uT1r5NIJAa7b+9E6hQqrNhxBXvrN0osGhmKpWPCrHJve1uR9v8R4V4YEe6Fd+/tgyvZ5bicWY6jSYU4l16KjJIaZJTU4FBiAed93B1s8N7Mvri7v/nKJkEQBEF0JpoUoLglqKqqQkpKCgBg4MCBWLNmDcaPHw8PDw94eHhg1apVmD17Nvz8/JCamopXX30VlZWVuHr1qlbxmj59OgoKCrB+/XptuJMhQ4Zow51UVFSgZ8+emDJlCl577TVcu3YNixYtwtq1a83eFXsnBiiWK9V46peLOJpUCBuRAC9O7oGnx4a3quW2okaBqzkVuJRZhgPX83E9VwpbsRA9fJ3Qy88Fg7u6474BAXCwbdZhKgRBEATR7rBE92g3il1MTAzGjx9vcP3xxx/Hd999h5kzZ+Ly5csoLy9HQEAApkyZgvfee0+7+QHQ7MJdvnw5du/eDaFQiNmzZ+Orr76Ck5OTViYhIQHLli3DhQsX4OXlhWeffRavvfaa2fm80xQ7lZrBc79fxt6EPNjZCLFxwVCMCOf3qWvNfAFo1g5agiAIgugIdEjFrqNwJyl2MqUKr/95FX9fzoGNSICfHh+KsT282zpbBEEQBHFHYYnuQetWhAEMwyApvxKv/3UVV7LKIRQAX88dSEodQRAEQbRzSLEjtOy/locfT6bjRp4UNXIVAE1cua9IqSMIgiCIDgEpdgTqFCq8/c91/BGXpb1mIxJgYi9fvDGjN4I8HNowdwRBEARBmAspdnc4ueW1ePqXi7iSXQGBAFg6JgwPDg5EsIcjbMV0YgNBEARBdCRIsbuDOZNSjOW/XUZptRxuDjb4eu5AjO5OS64EQRAE0VEhxe4ORK1m8N3xVHx+MBlqBugT4IL18wfTkitBEARBdHBIsbsDWbX7On6OvQ0AmD0oEB/c3xd2NiITvyIIgiAIor1Dit0dxr9XcvFz7G0IBMAHM/th7rCgdnH2L0EQBEEQzYcUuzuIlMIqvP5nAgBg+fhueCQquI1zRBAEQRCENaFtj3cItXIVlv16CTVyFaLDPPHCpB5tnSWCIAiCIKwMKXZ3AAzD4M1d15BcUAlvZwm+nDuAzlglCIIgiE4ILcW2EHKlGgcT87HzYjZSCqsQ6uWIEeFeGBbqjiB3B7g72sJG1Dp69YZT6fjzUjaEAuCrOQPh42zXKukSBEEQBNG6kGJnRVRqBjfypDh4PR+/XchCUaVM+112WS1O3irWkXe2E8PLSYKhIe6Y0MsHo7p7w0kiRq1chfJaOXyd7SBshmXtWk4F3t+biLNppQCAV6b2QnS4Z5PvRxAEQRBE+4YUOyvw+/lMHEwswIWMUlTWKbXXfZwleHhoEKLDPZFSWIWY5CLcyJMiX1oHhgEq65SorFMivbga2+OyYSMSwFEiRnmNAoBG8YsK9cTo7l4Y3d0LoV6OZu1gzSmvxWcHkvH35RwAmuPBlo/vjqfGhrVMARAEQRAE0S4QMAzDtHUmOhJSqRSurq6oqKiAi4sLAOCF3y9jV3wuAMBJIsbQEHfMHhyIqX38OJdbVWoG0loFSmvkyCqtwfGbRTiWVIiMkhqjaXdxs8eIcE8EujvAxV4MR4kY3X2cEOLpiCqZEjnltfjvah5+u5AFuVINALhvQABendYLXdzsrVwSBEEQBEG0Bly6Bx+k2FkIV+GeuFmEmwWViAr1RESAS5M3JtwuqUatQgV/V3s42opwPVeK06nFOHWrGHEZZZCr1Gbfa3iYB/53V2/0D3RrUl4IgiAIgmgfkGLXglhSuNakRq7E+fRSXLpdhsJKGSplSlTUKJCUL0VxlRy2YiG6uNmju48THh8RghHhnhR4mCAIgiA6AZboHuRj10FwsBVjXE8fjOvpY/CdQqWGWCggRY4gCIIg7nBIsesEtFbYFIIgCIIg2jek2FlIw8q1VCpt45wQBEEQBHEn0KBzmOM9R4qdhZSUlAAAgoKC2jgnBEEQBEHcSVRWVsLV1dWoDCl2FuLh4QEAyMzMNFm4hPlIpVIEBQUhKyurVTeldGaoTFsGKlfrQ2XaMlC5Wp+2KlOGYVBZWYmAgACTsqTYWYhQqPFnc3V1pYbSAri4uFC5Whkq05aBytX6UJm2DFSu1qctytRcYxJ53RMEQRAEQXQSSLEjCIIgCILoJJBiZyESiQRvv/02JBJJW2elU0Hlan2oTFsGKlfrQ2XaMlC5Wp+OUKZ08gRBEARBEEQngSx2BEEQBEEQnQRS7AiCIAiCIDoJpNgRBEEQBEF0EkixIwiCIAiC6CSQYkcQBEEQBNFJIMWOIAiCIAiik0CKHUEQBEEQRCeBFDuCIAiCIIhOAil2BEEQBEEQnQRS7AiCIAiCIDoJpNgRBEEQBEF0EkixIwiCIAiC6CSQYkcQBEEQBNFJELd1BjoaarUaubm5cHZ2hkAgaOvsEARBEATRyWEYBpWVlQgICIBQaNwmd8cpdu+88w5WrVqlc61nz55ISkoy6/e5ubkICgpqiawRBEEQBEHwkpWVhcDAQKMyd5xiBwB9+vTB4cOHtZ/FYvOLwdnZGYCmcF1cXKyeN4IgCIIgCDZSqRRBQUFaHcQozB3G22+/zURGRjb59xUVFQwAJj2nkCmtknHKKJQq5t/4HCavvJZhGIZJL6pi5EoVp2yhtI7ZdTmbkSlUjEKpYtKLqnjTjs8sY86kFDMMwzBl1TKmqLKOU06lUjN7ruQyWaXVDMMwzO3iakam4E6/pErG7LqczdTKlYxSpWZSCysZtVrNKXstp5w5cbOQYRiGqaiVMwUVtZxyarWa+e9qnvZZMkuqmVq5klO2vEbO/H0pm6mWKRiVifST86XMkRv5DMMwTFWdgsktr+GUYxiGOXQ9n7lVIGUYhmGyy2qYGhl3+pV1CmbX5WymolbOqNVqJsVI+qmFlcz+a3kMwzBMjUzJZJfxp38sqYBJzK1gGIZh8sprmco6BadcjUzJ7LqczZRVyxi1WvP8KhV3+pkl1czehFxGrVYztXIlk1lSzZv+6VtFTEJWOcMwDFNQUctU1Mo55eoUmvSLKusYtVrNpBVVMUqe9HPKaph/43MYpUrNyBQq5nYxf/rn0kqYuIxShmEYpqiyjretyJUq5p/4HCa/orGtKHjaSkFFLbPrcjYjV5puK5dulzJnUzVtpbTKeFvZfSVH+y6NtZXiyjqdtpJWVMVbV65mlzMnbxYxDKOp48bayr6EXCaj2Iy2Ui1ndl02r60k5UmZo0kFDMNo6nhDX8TFwev5TEphJcMwxtuKtFbTVqVmtJWUwkrm4HVNWzXVVo4mFTBJeZq2mltew1TxtJVqmYL5+1I2U14tN9lWbhdXM/vMbCsnbxYxV7NNt5VauaatFNe3ldTCSt62kl1Ww+y+ksOoVGqmTqE02lbOphYzl25r2kqhtI4pqzbeVgrMaCv5FbXMP/E5jFypYuRKlbZ+cRGXUcqcSythGEYzHhTztBVlfVvJqX+XGcX841pRfVupUzS2FT4SssqZ07dYbUXK31b2JuRq32VmSTVTp+Cuq2XVmnGtRqY02VZu5FUwx+rbirRWbrStHLiWx6TWt5WsUv622tBWKusU2rrCl/6tgkrmUH1bqZYptOWrT4PuUVFRwZu/Bu5Ii92tW7cQEBAAOzs7REdHY/Xq1QgODrboHmM+jYFQ4oCUD6ZDLNJd794Sexvv7kmEq70NPp7dH0/9chFjenhjy6JhBveZ9d1pZJXWImNSDa7mVODwjQJ8NXcg7o0M0JFjGAb3fXsaABD35iQMeV9jcUx8dyocbHVf4674HLy0/QoAYNuSKDzy0zkMCHLDrmUjDdJ/fON5XM2pwMKRIaioUeCvyzn44P6+mBfV1UB2xlenAADHXxmHsZ/GAAAuvzUZ7o62OnLHkgvx1C8XAQC7l4/CPd+cQpi3I46uGGdwz2W/XsKplGLMGtgFLvY22HwmA69N64Wnx4UbyE5Ze0J7zzk/xKJarsKZ1ycgwM1eR+7i7VIs2RIHADi6YiwmfH4c3s4SXHhjksE9X/szAXsT8jChlw/6BLjg66MpeGZcOF6d1stAdsLnxwEAvyyOwis7ryCvog6HXxqDbj66M6hbBZVYsOkCAODsyokYvvoIJGIhkt+fbnDP9/cm4tdzmRgU7Ibpff3xwb4bmD88GO/P7GcgO/qTYwCAbx4ZiK+O3MLNgirsWjYSA4LcdOTyK+rwyE/nAABX/m8Khn14BACQ8dEMg3t+deQWvj2WijBvRywdHYbX/7qK+wYE4Ms5Aw1kJ35+HLUKFSpqFdh1OQdxt8uwdfEwjO7urSNXWafAQ9/HAgAS3pmiratpH94FoVDXL3Xz6Qx8sO8GPB1t8d7Mvnjm10sY39MbmxYatpX7vj2NvIo6ZJfVIi6jFMeSi7Bu3iDc1c9fR06tZnD/ujMAgEtvTcag9w4BAJLemwY7G5GO7M5L2Xh1ZwJEQgE2LxyKRzecx5Cu7tj59AiD9Of9dA5J+ZV4YnQoCitl+Cc+Fx/N6oc5wwz7jru/1rSVk6+O1763K/83Ba4ONjpyhxIL8PSvlwAAfz8zAvevO4Mevk44+OJYg3s++UsczqaV4sHBgZDYCPHL2Uy8cVdvPDEmzEB26heatrLvudG4f91pyJRqnF05EX6udjpy59JK8ER9Wzn04hhMXnsC/q52iF050eCer+xIwP7r+Zgc4YtuPk74LiYVz07ohhVTehrITqxvK789MRzP/nYZxVUyHF0xFmHeTjpySflSLKxvK6dfn4CRHx2Fo60I19+dZnDPd3cn4vcLWRgW4oHxvXzw8f4kLBgRgnfu7WMgO+ZTTZmvnz8InxxIRlpRNXYvH4V+ga46cjnltZi/QdNWLr012WhbWXv4Jr4/noYevk54LDoEb+66hlkDu2DNwwMMZMd/GgO5So2PZinx24UsXMkqx7YlURjRzUtHrqJGgYd/OAsAuPrOFAz9QNNW0lffZeDD/ePJNHyyPxk+zhK8MaM3nv89HpMjfPHjY0MM0p/x1SkUV8nw+vReOJ1SjJO3ivH9o4MxtY+fjpxCpcbs7zRtJf7/GttK8vvTIBHrtpU/LmThf39fhUQsxPr5g7Fw8wVEhXrgjyejDdKf88NZpBRW4elx4cgsqcHeq3n47MFIPDDYcAnxnm80bSV25QRErz4KQNNvuNjptpV9V/OxbJumrex8KhoPrI9Fb38X/Pf8aIN7Lvk5DnG3yzB3WDAABr+dz8Lb90Rg4chQA9lpX5wEoKn/0788CaWawfk3JsLHWbetnE4pxtKtmnFt/wujMe2Lkwh0t8ep1yYY3PPFP+Jx+EYhZvTzRxd3e/xwIg0vTuqB5yd1N5CdtOa49pme2BKHshoFjr8yDl09HQ1kzeWO2xUbFRWFzZs3Y//+/fjuu++Qnp6O0aNHo7KyklNeJpNBKpXq/LGpVagMfhNzswgAUFGrwOYz6QCAE/XX9MkqrQUA/HctD4dvFAAANpxMM5BTqhnt/7nltaz/6wxkY1NLtP//EZcFAIjPKudM/2pOBQDgn/hc/HU5BwDw9ZEUTtkG0oqrtf/fyJMafH/pdmNauxNyNb8pqjaQA4BTKcUAgL8u52DzmQwAwCcHjPs7JuZVoFquKfdz6SWG3+c25uloUiEAoKhSxnmvvQl5Wrmvj2qee11MqtH0L2WWIa9CU+6HbxQafM8unwsZpQAAmVLNea9/4nPr71mOTw8kAwB+OZtpNP3Y1BLcLKiq/32Owff50sY6cSPf8P2w+e9avibPRdX45liKTp70aajrMclFiLtdBgD4/XyWgVyVTKn9P7OkRvu/XGVYBg3vp6Rajg2nNG3lWDJ3W2ko8wPX87UyG+t/w4adDrutFEoN68CZ+vqnUjP47bym3BueTZ+kfE0f8e+VXG0ZfRtjvK1kljY+/81Cwz7mIiuthns2vFt9zqZp6tKOi9naOvLpwWSj6SflS7V1L+52qcH311ht5WCipv9pKGd99l/X1JVDiQX4rr6NNLQZPuKzylFcpSl3rveaUtj4rA39VkPb1qehfzqfUYqP92v6iIY+g4+zaaXavmdPgmG9ZtePa/V9IR/7rmr6ipsFVfjyyC2dPOnTUAdP3CrClfq+d3ucYVspr5Vr/09l9ZEqVn/fwJH6vqawUoYf68eIQ/XvTJ+GMj+UWICTtzR1fEtshoEcu1/KLmssi/IahYHsqZQi7W9+OXsbAHAu3bBOAY3vdU9CLvbWl9v644b9KsM0Pic7/Yxiw/GioS8FgD8vacqda/wBGtvwn5ey8Vt9H7Xm0E1O2QZuFlRpx9krWYZ14Up2ufb//fX9JjvPbBrGhb1X8/DDCc27WnvYePoJ2RUoqy/3hnfWVO44i9306Y1Wk/79+yMqKgpdu3bF9u3bsXjxYgP51atXG2y2YGPY/AAxyyohgHk7Z9kNmeueCtZgJddREgylxSJ2+uahZN2f4cxBIyqV8byKhJanz4YxnryOksslK2LtGGqJncum0td5/yaSZ5eVuYWlsiB9PoWSS9bcolKpjdcVdp2XKRsHaTVHZptWVy1oKybqtbC5bZUjA2rW96bqir4F02Ka21bY1a8FNvnr1BWODIgE5r9/URMyaKpfFbLuqeCYePClb626yk6/jmUkUKoZ6BnM9PpV83Jg6v2z+33L+lWzktcdKzhuyk6TXf7c6Telr2LdyGRbMV5XmzKuW4KpumoJd5zFTh83Nzf06NEDKSncM8+VK1eioqJC+5eVpTvrYlfcBppbAbkqtYKVDluxM90ArDNYqSwYrMRNUFYswRLFpiUC0phSbNjlL7dEsTIzfSXHbJ4N32DBZQXQ6aytNFiwO+g6hZp1vSXaiuE9LWkrTamrJp+fVT90JkymBosmVFaTkzATg4VIZPn7twRTdZX9/lUmZnTiJijBShN1hW8SxKmEtkC/zv6enT5XuTV7EmZiXJGx+gqueqVb/k3oK7i+V3E/v2mDiXlYoiyZbCtNUGwtQeedm7JumOCOV+yqqqqQmpoKf39/zu8lEglcXFx0/thwNUCdmV1TBguOaqUzWCrZDdCQJs0sLbAYKk0oNk2xgliCyVkwe7AwMbA0KX2TM1u2YmVcsRO2gGLDP1gY5oXtHmpu+mzLm2nFzoRiKbC8rrAVAO7BojH9WrmJtqKj2JqHqTql5FMsOdNvXlvhKn92nTBVV9iDpSklsSmoTU3CWCZDGYdbCxuRyPK2Yip99iVTdVXchEmQqbrK21ZMTYLMSh1gGyFNjSs1crZ13fBewiaMa6YsZnKelSiuutqUvpKNqb7SEut2S6BrMGged5xi9/LLL+P48ePIyMjAmTNncP/990MkEmHu3LlNuh/nYClqwmBlgRWkWqYyKsserKy1vMdugDKF+VYQaw0W7PyZGlh1Z+HGB4umrIRxdbps2GViKv2mmPdNWUHklihWTVBslCaen20FYA8W3Ipl85aiuWA/P9vfz7TFzPK2ygXfUjAXTbFCmUJpQVthl7/MxCSkuXnhgl3nTU2CWsK6zWdd5pywN3cpkAO+tmq6rZhbV01Z7LjbClcf1ySLmQWKrWUWuyZMgkykr/uuON4/axasNNGum4IpxdIS7jgfu+zsbMydOxclJSXw9vbGqFGjcPbsWXh7e5v+MQdcg1xTTOZKUw1Q2XixmtUATfktmYvSRKVWKM1vgC0xWCh4fUEMc8Auc67NLWzEQqHJwVcfSwaLWj3FSqQ3kOt/NgdTMzudzpKVPtdSaFMUC90lC+NWAHZd5WwrTaqr5i8vsdPnVmytv7wn57GCmPKxM+XjxYVp67oJxY7VWEz5Y5qdJz6LoYm6wp4EMQxjoGjrWowEZo1+JtuKkjt9k4qdyZTr72PCx4x/EmQdxcqSlRidtmrKYGElHzsdi6HOJMzwXpYs23NhymBhysePXf51Vmorap5JGFdZWcIdp9j9/vvvVr2ftQYLU30622+nyoLBimswbwrsDqJGrjQiaZnFrCnpm+qsdfw2TCiWIqEAMCOL7IamuxRpvLOW6VgB1BAJdT2im+Y3Y3xmx35+thXCVF0x12JliY+d6brahKVQCzZPVOkMVsafX21CCdKmb3Kw5FYsTfktNaWtcNY/1iTQlI8h+1nqTC2FCgVmuTZYsrylMFJX9ZX+Zis2JgZ2nfRN+oM2YSWGK3+8ilXrWAzZ5W+qreqsxJg5rJiaWCh50udC3AIGA0vGCjam2oq5sMd1a7oN3XFLsdaGa2bDroDmvixLrDCmBiudmUUTKiBnB6jkTt/UTidTyyvmwp5Z62xIMKFY1FmwFGo0fZUlgxV3+lx1QdiU5Q0LrCAml0Kb4I+pNrm8wlZsTFhBWIma262Zmq2z6wc7fVODlbmKlcnBkid9LtiPYq22IuexgpmWNWMSZAbs92/JsrVJi1lTfOxM1BVdxdJ4W2mSddtUXbVgKbRpBgPWfSyYhHEZBNgWU3NXOUwptnzPz/Xe2Mq0qX6dC5OrC3L2JMwQPn/I5sDXVpqr4pFi10xMzazOsGLKGaOMFTfI1CycHbtJxdEBsX/OF+fIGKYqNTvOmqmB/W+eOE+Wwk5/x8VsVvrGGys7r6YUK3PTb4hnpUnfuOymUxms68YVC774XYBunWDHzjNlhfiJFRPR1FJoGkfsKC4SsiuMps9+/p9OsdPn8htq7ILO88TE0qeAHY/OxMRiU30cSf18NcAeLLhiEpqC02LKapNbz2Zo/+doqjp5/fcKd/xAo+lzXGOnz44zyNVW2O+kIY4fYNof0RhsK8ReC9rKxtMZjfkysXnB2EoEu50fvN7Y/5l6fp22YqJfzynnjl+mDztOIbdi1Xhxw0lWXeX0sWt8/suZ5Walz46zZqqvZMeENGXdj+GJNamP3MTyJjv9LbG3tf9z9VXsaw3xRy3BlMFi27lMs2W3x2UbCrAwexLEuie7/TfXx44Uu2bCVQFbInYau4Gwg0dydXBN8dVhY2p5sSH4JcC9fNXc9LlgPz87gCq3YsPdKpozC1fwlL+pzoqdb1NLkcbgW9IwNVhWtoCPmakcsJ+5ss7U8pK1U+d/V1zP31wnaK7BUq5kt5XGALRc9c9UOByT6XPVP1b67GDVppZC2ZjawWwM9mDFDgxuKn2dDVKcFiOzkjfij2soK9ex2JjvY9cUOBUrpflttbkbbbiVlcaLUlZb5VIsm7tUyP38jddKq423lWaPaxzX2PcsZNdVTiWYpw82ERrHGAq+cc2sX/PT6j52X331ldmyzz33XAvmxDpwdQCmdk2awlQgSZ20OBWr5jZAQ/gaFdfz8+WVyyHaXPh2YnJaLPjyqmIg0avx5jrv8zZqCzoArnyZ21nzPj9nXeGW5XqHLTFY8KXPdb25biXcig33+2+ZSRBXOvz1z9rpc8G3TGZKsWHDGSC3RdoKz7vinISZNwuwpEwtaavmDtZ8vpqmrLu6+eJaibF+v86XPuckiEfW7PS52grPPbnGFT5Z8zNgXjoAd7/EO66oGdjotQ0boQByTmldFLx1pXnvutUVu7Vr15olJxAIOoRix7UU2vyZhQXKQgtYzCwZrLg6AD6LmZoxjAUkFJg3uPOlb9HAyrUUa64VosXSNyt5Iz4txi1mbLjelbn9B99s3bJJQOu0FUuen6+ump++IZa8f/561fRJEN89ufyW2mtb4XpX5haHJZYVS57f3PfBp4BYsrrAOWFvrsXMkufnmoQom5u+4TW+SRiXcaTZ6XNa1/nbn0H6Ruqq3hHU5rcVK+2u1afVFbv09PTWTrJF4epELA2foY9lVoAWGCxNLMWaSot3Fq4y3BVqbtgCXisE58Bufmdp7tBpmRXA/MHK3NHKGulzz4LN6yxb6vlbZhLCNwlqibZieM0SxdLYUmhTQsFo7mkFxaoZS6GW9H/GLIaG6TdTsbRAlutdcU3iudO3wGLJM7BztlUzlQA+aw/XVTmPstQSbYULa7RVcydBltR/7nGdfwy009fsmuA2wIZ87NqY5gxWFjVACzpA/qUY82pLcztAS2TN95vhsQJakD6XEmz2LNyiwcJ8Jdjcd2LRYM03WHDOgs2rq5bUKb5ZMGdnaeYsnNdiaMmSCadDdnMHK657Nn+wMhUmwhi89Y8jfd5le04lprluAxaUVTPei2WKrSUTVvPeCb8rinnpaO7R9HGF32JpQfoWjCvm0lyLaXPbiiV9tSUrcdzjmnltxRKDhSW0eRy77Oxs/Pvvv8jMzIRcrrsqvWbNmjbKlflwvWxTkfkb4B+sLOkAzZc12wrQ7A7I/LxqIoibLi9j/g3NkW3u8g5Xb2mZEmzuYGGBYsNTr7gUC3P9ZizyceRJvzl+O5Yo1pZMgowt21nbCmDJYN08xc6SpeiWWAptGbcF8+uKBRazFrAu8w/WhvBZzLnbqpl9Bd9SsAWylowrBulYYLCw1riibzAzN198YwVXWpbImn0wgQX9uiW0qWJ35MgR3HvvvQgLC0NSUhL69u2LjIwMMAyDQYMGtWXWzMaSzlIf/g6IS7b5fktcDtHmp8/XAVkyWHFZzEznB7De8pY517iwxvJOc/whLVuKtr6PmXUG66Yv71jDId5SxYY9CTI3eLEmfSvU1Wb4/rWUYmnuYGOJYmONdm0oZ0FdsWQptJn9uiXpc9ZVM63rvL5oJsJo6aZvfltVqxmzzue2zG3C0nHF9MDW3PrXmi4+zZnYAW28FLty5Uq8/PLLuHr1Kuzs7PDnn38iKysLY8eOxYMPPtiWWTMbSx2i2VjDF6U5S6GWbF/nv2fzTNbmp8+3ZGL+YG2JP6C5chZ1Vs1aXrFkKdb8sjJ7KZbPydgC2eY4ZFvHIb7pS6G8DvEc13h9cbjCnfDV1WZMgix6fj4fK66VCHMtZhb5jfHVVY6yam5dba511dy62lLpN3MSaImsJUux+kGYLVJs2+m40lyDhbmKmSXjuiW0qWJ348YNPPbYYwAAsViM2tpaODk54d1338XHH3/cllkzG0tMxvovi7ehNrMD4I3jpjIvfUsGS0tCSHAtO5jbAPhntlyDlfVnwfxOxubfk3tgbd4s3BKLYXOWlyyrKxaUlZn3tcrmkWZYrCxSLC2of+bKMgxjvsXMgrpqkXXZ3LraQn5Lza6rHNcsiXnZfOtyM8u/udZ1C2Qtait6stZYXbBoXNGTtcxiyPdMFkwCW8Afsrm+v22q2Dk6Omr96vz9/ZGamqr9rri4uK2yZRHNsgJY0gCtsHtKP68WLZlYpCyZt7ykVjPNXgpt9mDVzM6yuYOVuUuhlszCW2YptKWWIs2TtSSQryV1lXcpSn8SZEH6ralYWpI+1/Juay6FNr+ttm1dNbcNWmYxs85SqDlyzfVxNHcHq1V2ZTdjKbTFIgi0xLhiwbhuCW3qYzd8+HCcOnUKvXv3xl133YUVK1bg6tWr+OuvvzB8+PC2zJrZcHXWfOfI6b8svrMhuawAdRZYgfjO0TNMn1uOqwHypc+1ZMR3PqW+rCXn/fE+E2f5mzewMgxjdh74yoqrAfOlzyUrM/PMQT45znfFV/8syKu597RElrOuGmkrbH9QvjrF9fx8Z55y1VW+929uXeXqfi17fvMsBha1Fb66yjFY8NdV3esqNWO2wmJZ/Wu9usrlJ9ky6Zuv2PC1a+5+hb+t2OqcD26+xczc+mc0fZWZ4wrHNXPrn7H76stapa+yZFzhUGzNNViYO1ZbSpsqdmvWrEFVVRUAYNWqVaiqqsIff/yB7t27d4gdsQD3zIKvAujPmC1rANaogLqyMgs6AL4OiMsKwJdX/bKy5NBzc58JMNZYDC2W5i5v8Sm2nO+fJ31LZM2V4wo6a42y0t8VatEkwEzF2qisuZMgzsHKgvJvZl21ZBJkWV01r6/ggr+umj8J039+Pjnu9C0pf/MGS2tMwjjL34K20uxJGMc1y+qqeX2QZW3VkrJqrsHC/PS5np93DGqBcYWrrTRXsbUkfXN3IPPRpopdWFiY9n9HR0esX7++DXPTNCxrAObNLCwZLC1qAOYqls3uAMyrrNaZWVlmBdKVs6QDMN8KwzsL15NVqRmzTfYtodhq7stfVuxjcviUBU7FyoL0+RQGA4uVFeqqZdZVc9NvGSuQvizfJIwLvvpnicVMv6ysMVhyWmHMtMRbYxLG2VeYWf+MyervCjU2WTK4pzXKSm9XaEuNK81VLLlUW9662gwl3DqrC61lsOC7Z/N87No8jh0AyOVyFBYWQq33MMHBwW2UI/OxdLDUlWu+FYJzeclMWf70DTF3Zm0sfXMVWy4sUmzMHizNT9+ywbJ5FlsuLOkAzO2AGIYx2lmzY0O1+iTA7LbClX7zZ+FmW0EsSN8SK1Dz2krzy9/8wdr89FvCYmpJ+paVv66ssUmYuUuhXKtrllk3zbQYWbCDndcVgUOx5HWx0ZO1xG2CXwlv+oTRMrcFK4wrLdBWm3t8XJsqdjdv3sTixYtx5swZnesNy0AqlfkF1FboV8B3/r0OaZ2SW5b1sgqkdXjkp7OccvoN4MiNAmw+k8Epq68sfPRfEnIr6rhlWemXVcsxjyd9/R7gdEoxvjmWwimq3wC+PHwLtwqrTMpWy5R4bON57vT1iMsoxcf7kzi/0+8AfziRiviscpOyMqUKCzdfMCv9q9kVeOuf62alvzU2A6dSuDf+sJ9fqVLjya0XedNkL4XeLKjES9uvcN9T7/1vj8vCgesFJmUZhsHzv8fzps/O6+2Sat686tfV3Vdy8delHE5Z/bJ6a9c1VMm42wpbNq+iFvM3nONJX/eehxILsPXsbU5Z/br64b4bKKyUmZQtqZJh3k/c6eu3lRM3i7D+eCqnqL5iuebQTaQVV/PINt64sk6BRzeY11bOp5fis4M3Td4TANYfT8XVnApOWfZgVadQYeEm89rKlaxyrNqdyHNP3fQ3n07H2bRSk7JKlRpPbIkzK/2kfCle3ZnA+Z3+8/9xIROHbxSalFWrGSzfdok3TbZsenE1nvmVW1bfbeKf+Bz8E5/LKct+foZh8Maua2YpITnltXicp1/VbysHrudj27lMTln9snp/TyKKq7iPtWfLFlfJ8MiPPG1V73NMciF+OJHGc0/dZ/38YDJul9RwyrL7tYpaBeb/ZF5bOZtWgrWHuduKfr/67bEUJOZJTcrWylVYsMm89C9nluH9vTc4v9Mf1zeeSsf55Gyz7gu0sWK3cOFCiMVi7NmzB/7+/k0+9LotYXeAOeW1vAoYoGvef+ff67xLC/rXF//M36mxNfs6hYp3UAF0Z1ZrDt3kVUD1LYa8gxoMGwBfQ9GX/fFkGrLLanll2TywPpb/nnodwIf7uBVAQNdiuf1CFq7ncjdUfWavP8P7nf7Mik8BBHTzeiixgFcB1Mg2LoUaG1T1B0u+QU0//bjbZfj3CvegAujW1ed+u8wrpx/D6lkjsmyLR3pxNa8CppFtTP/Nv6/xyuk3IWMKALv+SesUvIOKvuwn+5NRIzfPYmdssqKvWH915BavLLusvotJRb6Ue7Kmz0Pf87cVfcvKR//xtxV2Xredy0RyQaVZ6d+/7rSRe+qm/w6PAqgvu+9aPs6ncyuAgEaxENVbzB4zogDrW9xe+/OqEdnG9M+ml+C/a/n8smo17OuXQpfxKHWAYV9pdGLFSv9WYRWvAgbotuuVf/E/kz7GJpbsfqW0Wo6fTqWblf6He2/wbl7SVywXGOnXFHqK9ddHuQ0L+nn99lgKiqu4J2v6zPmBx7ABw3Hl0wPJZqW/9WwGUou4J2v63L/O2Liim/67exKhlnErtly0qWIXHx+PixcvolevXm2ZjWZRK298AaZCMtSyzK7GOmpLtmuzTbmmdtKwZYt4LBWa9M03A7OfydS5p2zZsmru2Z+l1PIMuFzUsWQrahVGZdmDhbH3akn6bNlKHkuVVlahgo1IE40op5xfAW5q+nyKCjt9t/r/jaXf1GUHU874bNk8Hgs0YFkYFHb9M3WyA1u2sLIF0regrZZaq61Y8K7YsuUm2grbx8zYYzU1/co64+nXKVRwlGiGMj4LbIOcubBla2Qm6qpcBRc7GwBAdhn/4GvZ8zfWK1P+lex2nWekrVoShoV9T1Mx1dhjoLHyt2hcYaXPFxycS9Zcpc6S9C2RLasxXlfNParQkrrKRZvGsYuIiOgw8er4qJE3DtCmXlc1q4MwJmvJS61mKQimGqBO+lYyjtaw0zcxWLFlTVVuc7eLV1vQANmyptJnv1dryGlkzXv/gOnBpCnpV1uQfrVO+vzS1SYUVD5ZgYkcmFtX+awDXLDrn76l0ZissbpiyWDJfiZTbUWnrEy8LFMTqgbMrVOAZf2auT5NpiYTbHTrqom6YmYbMFfOIH0TBWBuv2JZX2H++68xM691FpW/JWVlXl4tGdfYz29qh6huXTVeWGa3FVZZmfpNtQVtxdz+qtqCtspFmyp2H3/8MV599VXExMSgpKQEUqlU568jwPYR0n/9fz49QudzNc9gMaqbF1ZM7qH9zOdQCgDPTejGe0/9GdFvTwznlWU3wMFd3bF6Vj8dWT7FaumYMDjbNRp6q9iDlV76Gx4fovOZz5+qt78Lvn1E92xgvk7wseiuCPF00H5mP5N+A/x67kCdz3xKSKiXIzYtGKony92wHhoSiEHBbibvCQCfzO6v87mK5/37ukjw+9LhvLJs7o0MwOQIX5NyALDq3j46n/nev52N0ERdbbw+JcIXc4cFseT4O6DXp+ta4o0pK+amP7q7F55ltQFjg9XzE7vrfDZWV7c/Ga0ny91ZDw1xNyhXvo7/ybFhkIgbu1jdtqrbxjct1Kt/OvW/MQf9urjiK716zWcJWjAiBF3c7DnvqR/Tbd083fZXxaNYh3s74qfHzGvXc4cFoV8XV5NyAPDZg5E6n/nef4CrHbY9EaUny/389w/sgvE9vTnvqc97M/ualb6Lndjsujq9rx8eGBxoMp8A8MZdvXU+Gysr/fSreCZM43p646mx4Y3pG2krL7HGH01eWXVVr67sfCqaV5ZNVKgH3pzR+FxKNcPbVp4ZF65dIdHck7+tblk0TOdzFU/5Rwa64ouHB+jI8ilWi0aGwsdZwnlPA9/U+YN1PvNNQnv4OuH7R/Vlucvqkahg9PJzNilnLm2q2E2aNAlnz57FxIkT4ePjA3d3d7i7u8PNzQ3u7u5tmTWzqTFish7c1V1Plvtl+bhI0D/ITftZruQPcNiniyu8nGy1n9mNVX+wGB7mofOZr2F7OdliIEtZMZbXXn7OCHJ34JTTt14MD/PUuyd3+p6OthgW6mGWbHcfJ4R4OWo/s59Jv8yiQvWfn/uZXO1tDPLKJxvq5YTuPqwGaKSzHBJi3vt3sbMxyCufbLCHA3qzOgBjVpBBwfrpc8tKxCKDusr3/AFu9ugT4GpSDgAiA9307sn/rgzT586rn4sd+rPuWy1X8g4W/bq46kxC2GWq31bMrX/ezhKDtsLn1B7h74IgD9YkRCd93TxH69c/HiXAw9EWw0I8zJLt4euMEC/uSZD+8pZB/eMZWNwdbBEVpi/LnX6YlxO6+ziZlANg8Ex86bvY22B4qH5Z8beVnn4uLDn+9AfrtRU+WTsbjrbCk34XN3v0CWClb6StDNDvf43l1cxxxd/VDv0DXU3KAUC/QFfY2bAmIexxRU8ZGqJf/3jaio+LnUFb4bNwRwS4INCdexKi/5vocDPHFScJR1lxy/b0c0JXT+5xTb+t6o+rfOXq5mBrUFf50g/3dkI4q61YshLFRZv62B07dqwtk7cKxixmhrL8nYWNUNeEUatQwUli+HrsbEQQCxsboDGTtf6yAF8F1L+nRlYF53q/EYO8suKbVRtRbO3Y8TLA37HZ2QghsdFNn6+zlOg/v5GlYIle+jU8Mys7G6GOZUVfVj+vYtbz8w1AGlm95+dZihcJBQbvir+uCHX8mIzN7OyMlCl7Zi/Sq3uAXlnp3FP3/dfIVbx+I/rpW2N5xc5GpFP+akYzC9cv68a88gxWptwWeJaX7MSGbaVaroS9rWH6ErEIYqFuWTWg31YM6h9f+jZCnfJvlJVAHzsboV5fwW8FMWyr/H2VJe1arNNX8FvXDeoq3yTERqQTMw7gHyztbEQ6O1GNKTbG6iobzrZiJH2xiN1X8Q/WdmL+MmX3axzJ8/YV+vVPoWIgV6phKza059iJRbARClEHdX1e2ekbbyt8faCdWGg4rshUkIg52qp+W9FxW9BNn92mAf4+UL/+Nch6ONpyyOq2a3aZ6k+CjPXr+nIG45qRtmKj01fwW9fNoU0Vu7Fjx7Zl8lZBp7M01QB41uLtxCI46ClxNTIlt2InFsLP1U67+cJYBdRHV7FgDZZikcHAZKyxeDvbAajQ5rMBfcVKvxPkU6wkNiLYGjRW/sbi7cyyWBpZ3tLvrPmWLOw4Bgu+pRA7G5FOx6CzFG8wWPGXKfv59TsffVn9e+orK/yKlQgCQeMua52BleU4wDVY8So2NkI4SRoVfpWaMapYeTtLtBt1qiyoq3zLK3Y2Qjjaig1kudMXws/FTrv5oNpIXdVHt/wbMyCxEXEqzF5O3IqVj4sdkvIrDe6pv7yl//6qjCnWYv56DT1ZTyfuumpSseNtK0KdAVgjy6+EuTtyt1V9i63+JEw3/UY4morRvspGZMOSM6JYGVFs2c8v5GhnfD5WdjZCuLAsxnKVml+xshHC3cFG63zPNwnQV5Q0snxtRaTdVMKWtRVzKTaacaWyPlSV7iTIlI8Zt4+hnQ3HuCJX6tQJtqyvi512R2m1RZNAnrYiFhkokcZWLbxZS7HGJqFGJ2E646qhwYB3XBOL4MnqQywZ17lo06VYACgvL8fnn3+OJUuWYMmSJVi7di0qKrhjK7VHqowoFgB0fNeqeF6qva0QkYGuuCcygPO+urIiHb8BY4oNAF5Z/Xt2cbPHQ0NM+4PY2Yjw7n19tIMb+55cOwTXz2/03eF9pnorwIIRIY3p88xs7G1EeHlKT20jrDZihbAVCXV8l/hm4Q1K5dPjwk3K2tuIsHRMGMK9HevlVFqFTr8DtLcR6fg58nUqovrOmu3nwj+zE+HhoUFaP78GxYpP9i+WPw6f30rDQM32h+F7//Y2Ikzt44sJvXxYsvxl9fPCRn+YGh7FokFPeJ/l58Rn3bC3EWFIV3fM6O9vUtbORoSvH2n0RzPVVj5n+XkZe/5QL0fMHmS6rdjbiPDh/X219Ut3sDJMn+3nxm8FEcHFzgaPRXdtlOW1GAmxcnpveNYPpGw5/cFCJBRg44JG3zk+ZUEiFkEgEODJMY2nBhmrq8+M66b1idVpq2pDi922JY2+c3ybFxoUmxcmdWfJ8te/eVFdEVm/HNmgWPHJ/qnTVriV0IZJ2EqW/6ixSdhd/fwxtkejn5+xVZOtixufn91XspciGyZh793XhyXLX/+iwzxxVz8/zvvqyNqK8B3Ld8xUW/n0gf6csvr37O7jhFkDu7Bk+cfAj2f31z5fNc/zN8D2n+Ytf1vNJHxeVONBB8ae/80ZveFqb1Mvx2/dFwgEOn6mxu4pEAjwxOhQk3m1txXhuQndtT6xlqwEctGmil1cXBzCw8Oxdu1alJaWorS0FGvWrEF4eDguXeKPB2QNvv32W4SEhMDOzg5RUVE4f968oIINbKh/scbW4gFg7rBgPF7fCfPOrOo7y6/nDoSfi129LP9g9f/tnXl8FEXax38zk2RyTxJCLs5wCMRwIxAQUQmHoHgfLCq6ioqyCngArwKiIrjrvbjisa63qCuCB6IIuIhGQCBACKcEiJIEISSB3Jnp94+Z7umeqequnp4jCfX9fFDoebqrurqeqqeeeqqqc3IMVt433EuONLK5qn87yWBRNIAKj5mzGvz9ur7o4jJY1BrrjIQofPW3C11y6iv9xmWn4+GxPVx5pXsBAODxiedLMSH0BtCMNrFWfDF9uJccSQEv6ZGCx6/I8sqrHLExmT2upxTrRJ+KMiMuMhyfu8q/SXY4umf61jAzcrq2kRpB5VSULH1XUdw/qjtye6W63kt9KuzTe9ydkChLmt7q3zERr7oMBlo8pOiFuHNEF1zVL8NL1jP9MIsZb912AaJcXg61vGZlxEvBzrSpULH8bx7aSWqEafVPnIp75S8DJC+ZWl3t2jZW6rBrNLwQ1w5sLxksavXPZDLhuRv6SgaLWlm1T4zGly5dqVHpLABgfO90ybhXq38A8MSV2VL8FrVjc3khVrl0RauzvrRnKuZd7tIVSgcsfqu543tJcYlUwzrMDFtUuNRWNTQ5pHQ9O+sIixnDuiXjmWt7u55JfifRYTUj9zxpcKFm2EdFKHVF3JrCc3pLjJ1b6hoI0MrK4tKVu0d2lQbiyuB5pccq3GLGO38dLHnp1Ka4s9vZpIEozWMklv8tOZ2lRUzUQUC4GWazCf+aPFCaZaDqapgF3VJi8alrYYSWrlw/qAPuvDDT9U60mSinrjx/Yz90SIrykpVjDbOgQ1I0vpxO6FcI6V/RN0NaHKUWNgEAi67uLS1MoOpqmNO7Lqav1q8AQG5WKv5vfE+XLHkQIg7oHp2QJcX6qbUrtuhwSVdrG+3SgEJrtwsSITXsZs6ciYkTJ+LIkSNYsWIFVqxYgaKiIlx++eWYMWNGwNL9+OOPMWvWLCxYsADbt29H3759MXbsWJw4Qd6FnESU1VlpaF4Q+WyFOM1KnQqVTQNES8+lN9YAEONycVdrVEC5LDVuSuauFqe56ArglI0myNEqYLSUV5oCWLxkaaNQsazE9BvtgrQnGu0YFnf5kxsA+TRsjEb5i1NG0bJvJn5XzwZIfG4MIX25F8Cikb7nVKR4j6fX1HN6SyorV/q0VaHy9N2y6ka4PK/0qUAz9Z0aCYalU5bwrQjvRHsua/r0uupdVp7TW96ydMPOKeddTrRRuKQr1O/vratqU6Fyufomh/TetOmtGFL6st8VdZUgK8dTVwF3G0SLByaVqbxaK+oqoVyV6Tu/f0SYWepkz7raK0+PpThl5m7/5N5NWbtOeH9qiI3iW4ltsEZdFdOnxJgp+hXx+6tMhbplWb+VDl2xeufVM8RGhPRepPRFXa3RGIQoZWn9qrytUtcVd1vpHqw6JMOKpqvqbRWprqpNxQJQhJmIq91bpMdu9uzZCAtzv0xYWBgeeeQR/PrrrwFL9/nnn8fUqVNx++23IysrC8uWLUN0dDTeeust5mdIlYpiWMk/qhgrp2ate8uqj9hjCEpFqwBSpVbxLLhlNSqgR/piQC5AX/Hkzis5fXl4XayGrKdh65QVOwty+rGkBkievoZhQUo/zGL2MqxosRCkRqXRoWXYaBvhsR7f1dNjKsbixRLqqryzINdVbcMmRrNeW6hypKlgQGasyOu/idJYk2RJ6Ud413+6rmh11vp1VZRjMaxIbYW8s5LHY0q6qtGuyOOsxLKid5beZSX//spBCFu7IjespLqqpauUGDOLmVT+6oMwZ16VBoPmIIwyYA0jvr/69yfJ0uJxSd+0oYk2CPR/v0KSo+lKrGb9824rWOtqTaPbsNJTV+XI4+tY2yp5XLvbsGKvq3LMOmwAsa5Ghpsl412sq3oOLJDS1n2HH4mPj8exY95HpRQXFyMuLi4gaTY0NGDbtm3Izc2VrpnNZuTm5iIvj34cjyfR4YTOmuKFII4sKSMbrVGo5yhcHjdCayxjSCMLWf7kAZ4kWTmeIzu5LN0LoG6smBUjG7bGMsziDkwVFVvTC0JZaWYhpK/VAALeo3stL4jW9ApNlj4KV5YrrQHwlHPKUrzLGh4beWPp+VzP6S1PL0g1zQtB8FjW0Dx2YfTO2hNPw7Ku0b2NEG2hE9GwpnnsND2GSi8A4OywAPoggOjdlxtW8nZFaxAkM6zElbQ1lEGASIzMYyGi8JiZvI1wFl2J9jCYqd514kyETFc0PFaK9El1VUNXyR4rua6oeyxJU4FOWWW7ShuEaekKqa2g7blI8thpe5fdxpIUO0yrqxoeK8X3Z/QYiu8vCG7DilpXSf2KYhAil2Xz7lvD3IaVNGDXqCu0MlXoKmEmgJS+yWSS3uusRr+qRkgNuxtvvBF33HEHPv74YxQXF6O4uBjLly/HnXfeiUmTJgUkzZMnT8JutyM1NVVxPTU1FaWl3ucB1tfXEzdOjpYZVl+6ztykGQvih/pqVwnxeCbS9MrMj/OJ+3OJFUDeWXy4+SgAtalIp+yG/X/i8J9nvX4nTcXNWbGbuMxazKt8ZeZbPxUBoHeWYvpbjpRjr+sgZfmTlR4zp+yTXxUSDRV5WYmGwysbfgOgPbLbc7wK+cUVXrKkxvr5tQeIO6XL0xdXfD373X7V9MW6cuRUDTYfPuUlSzIsX9t4GFWEo5RIjeVTXxe6nqneAJ48W4//HfhTNX1R9oPNx3CKcDyP0rB1pv/oyt3OZ3p8f/f0mlOuttGONQUlAIAG2lSwK/2V+cdxXENXRNlZn+wk64qrfsgHIcu3OgeS9G/llP1+bxmOnPQ+81Fe78Wyevi/u8i64urY5Su+3/7piDN9ShC/WKZ5h09hv2s1rRzSVODjXxYSB3XyshLz8OoPTl2hLSIQy3TX75XY9XsFAOWAUTEIc+nqP77dr60r4W69AlTe36Wrh/+sxtYj5U5ZWl11pf/qD78RO1dS2MDTq52HrmvNLpRV1WPTwZNesqS28t28o8QjEkmDgHmrCgCoGJay8IbvC8u8ZM0Ew37F9j9QRjiikuSxevhTsq5IgzBX+oIAfLrtd9W8irLf7inDsVPeR6lZCYYtVVdlHiuRd/Nc/ZqGrm46dBKHTqjriliv563ao6orJpNJ0nHxLGmtQWB+cQUK/nAu+JSfaEOqq8+s2Uc8TlHRr7n+Lp4l3eJWxT777LO45pprcOutt6Jz587o3LkzbrvtNlx33XV45plnQpk1icWLF8Nms0l/OnRwBqzKDSvx4HN6A+R275IOaY6UeczED9zkEFBY4n36hthAyzsY8TBtrcZSnlc5yqk493uRDqn33OoBgHRAs3zKQI7cvS0eaK9YaUYwLADgq13eh9TL9wWqqnM25h9tcXbWWh5DALhhWZ6XLGl6BQDeJxxSL1fA3087DY+1hWUQBEHTZQ8AN7oOnm6kGDZyWbETpo3CxXMZdxyrQF2jne6xlX3TKa5D6mnTW/L3f2aN85B4msdQfN/i8lqcPFuv0gG4n3nP+9u90ycY9gAwb2WBK333s+T1TwxIr2204+CJs14dhriHmNwj/ejnBa68a9fVBz7Od6Yv3/OP4IkHnAfFe2KVjcJFRMOG7jFzp3/HO96HpJPCBgBgzR7vQam8XRE9VWJnSUtf/v7iIemNigErWfbjrcWE9N3lI573u3p3KQRB0OwsAeB6UVcdZMNGLvv6/37zTl9WV/9w6eqWonI0NDlU0nffc/O/NzvTpxi28vT/8Z33IfHyuiou2jj8ZzUqaxqphqW8TO981xmO1ECZCpa31QtW7VFNX7yvqq4JR07VeMXjinU0SlZmj/x3FwDtQSAAPPhpvlf68v0W5f3ltqOnvfMa5q0rYvvDoqt3vbfN63daWa3b5x1LL6+r4i4Db24qcqWvXVcnv7nZK680G+CzbX94py8rd/G825X5x1XTVyOkhl1ERAReeuklnD59Gvn5+cjPz0d5eTleeOEFWK3e+0L5g+TkZFgsFpSVlSmul5WVIS0tzUt+7ty5qKyslP4UFzsbMM9NEgH6R5VX6kNlzpGFvLOWx83IlbiyptGrs1I7i5DaWMkUUNxTixbkKX/+6RrCKJSwuSTgnIajeuxkHaC4/x5tKk4u+yfhQGnSfmWA8xxCeoyb+x5pBavGVCBAPnyeZNgCzoPaaZ2l/PuL0AwbuWxxuXMUTDNs5HXjRFU91WPruZcV4FlX5bLu9I+c9B6Fy8tfvs3KiSq6Yee5lxPg4YWgdBaHXN5leV2V7wEm9zqdrm6gntZC0hmtgGgA2F9a5brf/btZoSvu6xWEw79J7w1AdRAgf39x4NBIKSv5t9CjK/VN9EGAXP/cIQaUuirLaynBY0TTlcraRhXvsnee6YaFbJCl4d2Vc+JMHdMgUEQxE2OSy7qf7/ZYkb+PvF0vraqjlj+pfaXpirz8fxN1hRI2ID8dpby6nlr/SLpCWhUMKNsV0bssv19uhMs92qcJuhJG6E8Bp65oLd4AnAYzAMWG1PL05e3GqbPe/ZrnRsIiTXYHU12trHW+E0tdJXlXIyltxZm6xpY3FSsSHR2N3r17o1OnTvjuu++wd+/egKUVERGBgQMHYt26ddI1h8OBdevWIScnx0vearUiPj5e8YeEwyHQvRAyBRQVXNFZyP4hn9L482w984qY2ga7ZiwA4PaUyRVAntd6WQNwps57esNzI1+R8poGfY2lnZy+vBGtJxzVRDMsy6rqqB7LaEL6jU1kw0Y+bUaarqKlX1pVR53eIr1/I8ULIP9WpOdZCSNLMX3a+5MMDFpjHU2oq3LknbU8/bKqOqoXwrOzEARBOb1FMWxJ72Oh6MqJM+y6Ut9kV7y/PHtyw1Z8nmJrGllRyjvLqlrvzoo2CKuooRs2pEEArbOQtzekvQyphk1VveZUpDJ9smEh94gQ6yol/dKqOvr0GjF9sq5Eyesq8f1lumxnq6tRhDxTp2IJ6dMGYfK2rLSqjjoI9GxfPb2bNI8ZqV+Re8zk039lVfWaG3SLNNodHoal+zdFWyWmL7tXnld5/Txd00A9BtCTM/VNugYBtNhlef0gna1MG4T9qTITQaqrtGlzeVtAbldV+rWW5rG74YYbsHTpUgBAbW0tBg0ahBtuuAF9+vTBZ599FrB0Z82ahTfeeAPvvPMO9u7di2nTpqG6uhq33367z8886TEKonXWpAaYpgAllewfVa2xJDfW5LwqG4A6ZgUsraQ3lqTOqoGavmxkSfAYeh6nJFJSSW8sY0geM3ljSVE6UgNAU8BSlfQ9PRcOh6Cc3qKMcrViDJV1pZbqMfU0MOoa7crpLXlnGe5tWHpuUCulLysfZ2fFVldP1zR6TAVrdVay8qHUlbKqOuZYlBNV9UyGrXuhBbmxlutKaVUd89E/ah4b8iCInFf5+5PiIUknigDOstJaPCCHVlZyXSGt9qN57Eor6+iGrYd+OT02ZF2Rt01agzB5eqWV9M7a07BqaHJQO2uF4Ub4nrRBWFklfRDoSVVtk0KWNggiPc9MqSullfRBoCfOAZO2x05Mn+Yx83x/1kFYqUofSDKsaEa4YnbhjLfHjDYIU+uDtb3L7uvytvIMMXaa3K+U6CgrOSE17DZu3IgRI0YAAD7//HMIgoCKigq8/PLLeOqppwKW7o033ohnn30W8+fPR79+/ZCfn481a9Z4LajQg+co3EJpAMSryg1q6SMbVjespyzNCyGiHNm4r3umT5ve0kpfDuloNNrISt5Zkqa36F6QBqoCeo7CnVNhZMNGPrKuJHhhaCM7T2NFLc/VDU1Uw0aevvgt5HmV1yX5t1HzAnnilCU31iTjjLYqU2GEV7PXVc9pa7kXQBniYJL915U+bRBgKH3yVLwIzWOi0JXqBmbD0inLPgih7aNWr5he866rNJzvz+7dpumq3GN6mpC+5zGBkmxNA1VXPA2r2kblTIQifQ0vDK2zLFdpKzypqG2g6qrCmCIMgOV1Wd6xl9fQwzZIeaXVVdKAkHYGtPxbVdT4Xldpg0AxfdoCQkVdqWlkHwSq1NVYjbpKMywrdOiKWr9CnAmi2ADKftU7fdogTK1fUSOkhl1lZSWSkpy7l69ZswbXXnstoqOjMWHCBBw8eDCgaU+fPh1Hjx5FfX09Nm/ejCFDhmjfpILdI8YsPSFS+rv8bM24SOff5QogP09PPCoKED07bB/VU7Z9YpT0d7kXQPR4yZVVnr/sDJvsndTP1PQ0MuTvL/+NNL0hlxWPcQGA81Ld29xoGZXpNncZ2x30uClPw8ruMW2eGO0+u7BTcoz0d5IHRt6w9UqPV8iyGlYOh7IBkJ/nmZHg/m6k95d3VsO7tVHIsho2dg8vSEq8O55VfuapaHDJ+yx5rMrQru70ne/PWFc9DOv0ePc7x0e566po5Ch0Rfb+AzsleLwTW/qesu1lZS73QogjcnlZyX/v3U6mK4J6+cunLT3Tj5OdJ0o2rNyy8rNHe6S5dcUhCKredfl39Sx/OZ4djGe7kiDTlUyZrtgJacv1rntKrFtWo12R49mutJGdMypv40i6Ih+EiadkAGI8sA5dlcmmyM4TTYmPJMi7ZeWzC8O8dJWxrnrIpsnSlLebYnsrPwNa3lZc0Nn9/lp1VY7Do662k+mKfMAe78qLvA2Qe7T6tE9QPJO1rbR7yCbL2kpi7LKDrFe90mX9iiCo9i2J0fKzsOl1lXTmr6Jfk+lK17bu+q/l2c/06INog0A1QmrYdejQAXl5eaiursaaNWswZswYAMDp06cRGemtNM2NVa6jcgCnAsoroPyM1jRbpOK8OsCtAHGRYejXIUG6Lj8vtMmjsxSP2xFZff8IpaxsVPDvKe4zUmOsYbj/0m4AZCc2yGTl537ePbKL1EjYHQ6Fa1s8QkVEPFbMKSsoRrCf3u0+xsdkMknHeokdnHwF7TUD3GcJThrcUToH1u4QFEpwl+x8SgBYfpf7HNYmh0NRVuLROCIv3dRPJqss1ztcR+MAwOW909HN1QmJCi2Wh/zMQwD495RB1Ge+d8dghaz83555nZnr/ubDu7XBINfxM2LjI3bKI7onK7wAL8jqmN2hjFt7Q3aWIQB8cre7POx2ZV4XXOE+dzK7nQ2js5yea7HxF79Zz7Q4pMmM6aeuzPZ4f/e3kp/lCACf3+uuD00e6T93Q1/p7+0To3HjIOfKc3FaR5RNjo2QjtECgEfGueuj3a58f/lZlgDw9f0edVWW19dvHSj9PT4yXDqCT4wRkz/3ou7ucz/vvbib5JWyOzzLNEuR/jcPeOiqTFZ+nrDFbJLO7BU7Dnm5XtnPXQdvHtpJMnSaPIyV+y7pqkj/vzJ98Ez/s2lKXZGfmevZsU4Z1kmRF7ETEuuqWB7yc6cBKM5s9mxXPrhziIqsMq9/u9R9RuzF57WV2k7x3cWjsy7tmaIYhC2V1UfP95efkQsQ2hVZu/Z/svOU+3VIwMU92irSFwfpvdvZFIe6L77GXR89dfWVvwxQpL9CpiuedXWJrA/onBwjtZ3ipxd1Nt0WqTCm545359vz/eXfG1C2656yr8jOM06MiZCOFRMHBGJdCbeYMLSL25j926XdJM+/Z/v3pOyMaAD4dsZFiveXy777V3ddCbeY8cg453GVYgiBvKzG93afJz1lWGdpUOT5TPm5wwAUZwbbPfIqb8cAYInsLHjPwa28z79mQDtpICLWFbE8bhnq1innO8r7CoF52lxOSA27GTNmYPLkyWjfvj0yMjJw8cUXA3BO0fbu3Vv95mZA3w4J0ghGrgB/GdIRndrEKGQnDe7oklNOry39ywDFyDYuMlwywuRemKhwC268QGkcZmXEo4fLw2WXNexX9ctQeL4A4BrXoeWeG7S+OnmAYpQeGW6RDI0mDy/QnRcqDatuKXGSh1HeseT2SkXv9jaF7IQ+GZKcPP1/XNdHEYsSbjFLZwA2ORwKb8F0V7mIdGoTgxHdk6X3Ekc2OV3aKEaoADAmy73iWS77+BVZCi+M2WzC9Evc5S///8OuRkQkIyEKl2WnuWTcWyj0aW/DCJkBAAAjureVNr6Uf9eHx/ZAoswLYTKZcPfIrsSy8jQWUuIicd3A9pKsOLLu0jZGMs5EBmcmSSNYZ8PqfPa0i7si1cPzcPvwzor3FmWXXKs0lhJjInDbMLesWP9T463SOZoi/TsmSh5WuRfi1pxO6JAUrZCdPNRZz+2udMWyeumm/gpdiY8MlwwYeV2NtYbhepdxKHJ+hs1tsNvd6V8zoB26pSh1RSpTl4z4/9duGajQlagIC2aM7i49U24AieUi0j01Dn1dRohdJjv2/FRkt1Pqilh27vJ3pv/8DX0VXoKIMDMecHVKdocyFuzei5W60jk5RvLwyuvfhd2SMbCTUlfGZit1RXz/J688X+FRtMh0xbOuPjRGqSvtE6MxRhwwyNLv1yEBw7slK2QvPs+tO/IBw+xxPWGTeVNMJhPucemKZ1k9JjPAAKd37WrXwEzeWXdPicWlPZW6MrRLG8lQkLer0y/phpQ4pa6Ig0L3uZ7O/z99tbL/SoqJwM1DxT7A/f4ZtkhM6JOukB3QMVEa3DY53KeV3DasM9onKnXlZpdR4O5XxLrST6Ertqhw3D3S2X7L6198ZBiuHag0wrPb2RQGuyh7/cD2Cs8TANxwQQeP9xf7lYFeW8PMcvUr8vpnMZu8DJseaXHIbhfvVVbje6chSzawA9wDnSaP9F+6qZ9iEGwNs2CGrF+TG2BiHRLp0jYWQ1weXnn9G3leW/TvmKiQvSzb/e3kg6Cnr+6t8JiGWcy4/1JRV53eddHJ7WlYdkiKxiiXs0Xer/SXOYC0CKlhd++99+KXX37BW2+9hU2bNsHsmvvp0qVLQGPs/Im4VcmCVQXSvmJhhPlyUa6sqh7/+uEQ7K6PRZIV9xV7N+8ofnBtKEuSc8o6r89bVSBtjyDfl8xT7mx9E178/oCkCKS5ffHaiu1/4DvX/lgmE3lFbJgrrfmrCqQNXYnvL7u25Jt9kmKFERZDiLLf7inDlztLiM/wvLZg1R4cdG0lQ3qm/D2f+nqvFPNiIcQBibKbDp3E5zt+Zyqr+V/sQcEfVVQ5Z16daS38qlA6s5IkK75TfnEFPtpyTDJwSN9VlH1mzT7scG2+TKsr4vXHvyxERW0DVVbM58ETZ/H2T0VSo02uq85rSzccwuaicsX9NNn5XxTgT1ewv1qZHq+sw7L//SY1bGRZZ1pv/3wEPx78kyonz/+CLwqkzY/V6lRVXRNe+v6g6vuL1z7d9ju+31smXSPFgoqy81cV4JhrKxtSWYn5tzsE/OPbfYpOkCa7enepYt9HtbKat7IAB10buqrVPwBY9PVeKT6IWP9curbxwJ9Ylf+H5DkiPldqK/dIG5WTytRkMkn3P/lVobQwQ638tx09jU+2Fsu+Fb1cn169DzuLK6n5lF9//Is9UqytWvnvKz2Dd/OOqLYVYp5eXndQ2nzZQlkMFiZLX9yeQ+39i8tr8cbGw+73V2lX39xUhJ9ce5TSthmRdHXVHpS6tn1Sa1fLqxuwdP1B9/uTZF3XPtpSjHX7yhT3ez/Xma8Fq/ZIuqLW/jU0OfDcd/tVdUXM/5c7j+ObAve+j2qy81ftkbaSIbZ/svd8evVeadZKra1cv+8EVua797JTq6vzV+3B3hK6rtLwDugIMgMHDsTAgQMV1yZMmBCi3OhHDJDc+Xsldv5ObyzkgZR/X+PezJLcWLj/Lm7SSmsAxPsP/1kt7eWjVqkA4MXv3fGLWkbQHNeGyjRjQayTZVX1eM21Uzcpr3KjcJlsM1GSssplH/p0JzFfntfO1DdJGyWryQHuDY0B7bKa+fFOmSxdAQXBvfmsalnZga93qRur8vefu2K3FKujJbvkm32uPKk31htdgwX5NaWc++/i5td0Wfe1J78qpMrJr+84VoEdxyoAaJe/+E5UWZlezXNt0kotf5fsgbKzOFB21pUWof7JnvnC9weI+SLJipuPU9/f5DZYxV3ttdoK8VQVgFL/ZLIPuzaUdcqSnuv8f1Vdk/RcYp2SPfM92SbdWrIPLM9Xzas8wF7UFbWyskPAqnwtY9V97ZHPdkm6QjQsCJvfkto/+XM37Hfrilb9m79qjzS9RnquvKye+nqv65lkXRVltx45ja1HTjvT0njmotXubcK06tWCL/ZQ5eSye0uqJCNc65nPfufWFa2yEjcKpzosXJePldfg366NgrXqn9j+s8g+ItMVC2EQJsqWVzdIG8Vrvf9/XKfKUGUp/Qqxrrpk65sceMl1AgWtrpIIuWH3+++/44svvsCxY8fQ0KDc3uL5558PUa7Y0frYanLU+zUacK37yZ419c5OS5Yk55RlyytdgY3JspY/bbCj61sxyqqXlUNT1vP9Rfc+63elDMJ11FV1w9CXa7TruuqqyshaS44mSyorrc5eIWvw/YnXqOmzPZOelvogSkRX+WsM+LRkVfNv15b1vCbqCrFeaxh7WnllqX/i9BpRr4mGGTF5cl1lfCZN1mi/Eoi2kl7+6gMut5yxfo0+E+X/ts5oWakdTuBJSA27devWYeLEiejSpQv27duH7OxsHDlyBIIgYMCAAdoPaAYY7exIFZDUgNM6Ky2Piy/3k2Sp+TesAGx50vNcUp7E6R3P1VDE/FMUiNRZ6WnsSJf1GIZqI0stOer9et6fMS1dRjTjO+mRNZp/PeWnp7Ni/da68k/prEidAFHXGOsE7f5AtSvG2yXva6zGGu25rMayvvuNpa8VoqOQ1Zid0ZJlHVhRZXWUP7GtDUT9M+gwMdovOmXZ0qcN2InPZBf1P3PnzsVDDz2E3bt3IzIyEp999hmKi4sxcuRIXH/99aHMGjNGFVgtxk5LjvZc0mhH3/1G86+nAaNPb8oxUzurALwrNe6FHmOklY5Tlu1dA+YxUom7YbmfVVYrxk7rmUbvN6prhr3rAfp+rHWNHmPJntfAtEvGDBt939qYx4d1JkGPx0+Xd9zg7ADzIMKgx0vX+xutq82w/tEGsUbrqp6yIhFSw27v3r249dZbAQBhYWGora1FbGwsnnjiCTzzzDOhzBozwers6NN7xhSY2WWvp7PT4wUxOGWjZxTIPL1ieGSlxzAweL8ew5K1ATFomOiZCiWObHWkb7z8veUMG5ZGp/d0dbZsBgxg3LtofCqOfSqQtVyNGmbUstKIZ5PkDHpsjIZNBHMQZNxjxRYKQHtuIGZ3dLWVhPI3mUzM9Yqu16T02esq8ZnMkgEgJiZGiqtLT0/Hb7+5A4VPnjwZqmzpgrWyU/QvIFMWxhWAIGdwes9sNoH0CFJlZb1Gu65rKq0V3k8vK9I1Hfcz11Xi7cbfPwCGHfmdiLczvz99eilIumqwswtcWuz3s7er7IYZ0WNt0DtPv5/VsCJXNqJ3lvGa87n+1xU93nXW9zc6ExUow864XjO2FSbaTBR7XkmENMZu6NCh2LRpE3r16oXx48fjwQcfxO7du7FixQoMHTpU+wHNAPaRpdHpKT0VOADTSzoaULXtNjx3HGduQHWMLKllxejdClhZGW1sGcvFcGdlsKx1xR3p8Di29M6KNS2TyQSzyb3prEiw6p/RtGidlZ6O2ehUXsgHQczxrMTbAzMIZOyr9MhSB0GsA/4AxaMyT6X7oV8JM5vgeao5e1uho61sKYsnnn/+eZw969x2YOHChTh79iw+/vhjdO/evUWsiAX0KDB7A6AroNlAkLRTlrEB0ZW+2rt6Ll6gyXlc88PIirmx0zWyIqQTKMPEYGPJKqsn7oZcf4i3B62uNdfOSm/H5vAYBDHrukFjh/YM1nZFT/2h6rXhsva+Fsy4p0DEeAUi7MPo4oNATQWz1nVxJsjzRDujhqGeumpkURp1Jk9H+iRCath16dJF+ntMTAyWLVsWwtz4BqvHQ1+QsrEGJJheJL2joHqva6SAWPYgWePufdbypzVgQfRCBMRj5P9vrWsUGsTOjn1BAPv0mD6PKbusxUzwbhO9mzoCynVM5TGXlcGVltS6GgDvtNGtXYJZV4N1v9G2hmaYGI0nJXvy6QtNmjwsO2L+dcUjG8trMPsVEiGNsQOAiooKvPnmm5g7dy7Ky527cW/fvh1//PGHxp3NA9YPYHRZOnXxBON+R7Q9cII1sqTL+v+ZxhdPkDoF4iObwSjcmBEfiH3M6GXVHL0g3nK09jNY253QnmF8z0ljeQ3W3mg02WAGpLOvam3Zhl0g2kq6rLH0abG7pE9ouK3U0wez1tUA7GNII6Qeu127diE3Nxc2mw1HjhzB1KlTkZSUhBUrVuDYsWN49913Q5k9JkgDRl0NOKOsvukxoig5/SB2VkamAv2x0s+Ie9zoMwF/fGvSM0lyxsqq+e55aKyzYpWlDYLY6w+7saZLVwPSVugwLA1OxRqV1bMDAPPWSHpWgAcxHjVYgyDDHjuaYWLUY8j4/QDvaVhaWoENMdKWDZSuEu9nlgwAs2bNwm233YaDBw8iMtJ9uPL48eOxcePGEOaMnYB47HR0dnoaC9b0jXa2evbbMdqABWsq0R9T0Ua+devorIJj2NF1jX3akgRriIWe6UWjump0ekmPx4JVLwLn3WfME3Vg433N6IDbaIwgLR6VdRBh1DAxOgilDoIMLl7Rk1fm+wPUrxmqqwbbShohNey2bt2Ku+++2+t6u3btUFpaSrij+cHaWBhuAHR5QYiiRAKhALR3JY2sWPeGM7rUXI9scLeQMNgAEy4bnd7TVVeJDTjx9sCc/KDrfrY80TDaWekJ3iaoimEvgK66amChhj/aClZZ4uIr6tZS/o89DuaAPRBtnT/Kinw/2yDIaNgEQNGVQBi2lLySrrKWNe2d9Hxr4v3MkgHAarWiqqrK6/qBAwfQtm3bEORIP3oC/cn3MzYABuf3aQRzKpT1/kB44Wj5IndW/o9b0yOrqwFmPM0CYPfuGI0HNdpZGd8vinh7QDor43WVOXnDpyHo0WuSJ4Z5VbQfvCBGtovQs12N0XZFX9iEsXbFaL8QiK19aBhdqEUu6+DNROkpa2L6RF01tkF3i9mgeOLEiXjiiSfQ2NgIwNmYHDt2DLNnz8a1114byqwxo6djJ2E87sigYRnElX6kehms6TmA1jGxlZ+eBqC5dlZGGzvDnZWOaUsSrHUtmJ2VUV0NdWdlNGwiUINQI95J2isZjYfVs12S4a2RWN9VzyAyADNJNIxOJetaPEG4ZnQQpkevjGwwbHSDaRohNeyee+45nD17FikpKaitrcXIkSPRtWtXxMbGYtGiRaHMGjN6RqEkjHcWbHmiEay90QDKVKxRl7mu6S3vDBjZgwhgn57UI0ue3iM+MmhTmdTOKkABycT7jXZWIR+EsV2jYdgwN/z+jHkyeCQdVZbV40wpVL3bzXhdM7zBObthr2fakpwW6yAoUIMA/9dV6uIJwrVAhBjRZAVCx2Y4xMagYRfSVbE2mw1r167Fpk2bsGvXLpw9exYDBw7EqFGjQpktXRj9AMZH4f73AgTCC0XDcEB2IBpAHZ2V4b25mI8+0rERaFA7K/YG2GhAMPlbBWbPQ9b7Q+2xC5R3mXw/o676obMyMhVs1AsIsHsijU6v0eJRAzEVSDyrlVZWOrb7IEHc7kTHFh56yopEMA071vsNhwI096nYvLw8fPXVV9K/L7zwQsTExOBf//oXJk2ahLvuugv19Z5b2TZPAuGFML7Umjl5w14QPds9kEY2wdxCgXVZvNEdyqmdFWHSIBCrx4zGQ7J65ujPJIrq8oQS0yLWNUI6figrEsweOx2rMmllxVxXDXtB2HU1EIsndHkhGO/Xs4UGfR88NlnS7Xqeqbbprreswbqq4/2JsjosKyN7uwGU/FM6NkMeM3/0K6T7jeqq0e/PLOlHnnjiCezZs0f69+7duzF16lSMHj0ac+bMwZdffonFixeHImu6IXo8jAZZGtygOJgjK/IGpczJN4ORlfc1oxtp6pneYn9/Y/frlfWEVqWCWVasG6T6o6yI9xtePGBw8QazsaGj/AOw0KrZekFIbaVBWaJnUY8XJkB11egzDQ+CGL2b/thMm4ThVbGB6Nf16KrRfp1Z0o/k5+crpluXL1+OwYMH44033sCsWbPw8ssv45NPPglF1nQTiM5K1zFBjIYZDeaAfh1TkbSRFWuQaaD25iLpBbGz1TG9qsdjwLp4xGhn7Y+y8qS+yUG8bjhuKgCdlT8WmhhJS1/5+3/xROD28WO7P9SGpZ6zfv3hifek0c6uK7oMqwDoip7FF0Z1hTVG03mdfcDG3K8YHITSZ2K8YQ1x0RU209w9dqdPn0Zqaqr07//973+47LLLpH9fcMEFKC4uDkXWdKPnmBtWjE5FGm0sjS4IoC5eILnMDQT0A/pGYcTpLca0SNOotPSNLh4hNTY0w0rXQg8DjYXdQZpwaFmdldG9oVg9qfo8VuS0iAt9GPNPD5vwvkYNmyBcI+8Zx16mutpKQgZYZxIam8h1VU/sLAnWulLbaGe+X09dCcwgiN2w0ZM+czyijn6NfvIEm67oO5KO/Vsx76NncKGbjjFgaAy71NRUFBUVAQAaGhqwfft2DB06VPr9zJkzCA8PD0XWdGPUY0ci1CMr414I5uTZOysdU8GBWOlX32S8sWa9n0RtAzl9wzuU6xgEkAhEjJ8eWlRAulGPFeO3pk8v+T9sglSmTXaKYaVjKpQE6yCoTo+uGvz+JEgDOMD41jCB0JXmWlfJszbMyQdkJshwv0JI306pLC3SYzd+/HjMmTMHP/74I+bOnYvo6GiMGDFC+n3Xrl3o2rVrQNLu3LkzTCaT4s+SJUt8fl6oR1ZG02cPSCffH6xl6XTDyvsa7f1J6bMasXWNxqdXWL0wJGidlS4vFMkLEsy6GgDvtp6AdMMByYwdEzVuKgAB6aRnNjkodZWUVx29JWtnT62rBr8/q2ydDo+ZnrbCaIybnrbSqHeZhOF+Rc8ogPGZNI+pHr1m7lcIz3ToMKyodYXYrrKtltbTr+jSFWZJP/Lkk0/immuuwciRIxEbG4t33nkHERER0u9vvfUWxowZE7D0n3jiCUydOlX6d1xcnM/PCoQXgvRM2iMDMbIiVUraVGCwPHZ0BQiAx05HZxWIuC0SurwAAUhfz/1GT97Qg56RvdGyIkHqmGgeq2AFpNN0JTC76ZN0laYr/j/5g4SeztLoQic96Nt0NziGndENjvVAen/SNCpNNhCLJ/T0K4FJn30Qoqf8Q2LYJScnY+PGjaisrERsbCwsFovi908//RSxsbEBSz8uLg5paWl+eVZAOivC/Q06DKtAjKzqdXmsKIsnGO8ndlY6DCvq4gXi/WyGIV0B2QPSSY11IDxm1A6AcDkgnRWlASIFOQfi/amGlcE9D0kQDRtaXdVxSgZrWqR30hPjFYh97GhhA4EYhOpBz55zrG2VHvT0FaRsBaJf0WVYBeD99c2EkJ9rgrfXjrlfoQ5C2N+fuCiPcQEefRBG6Fd09OshPXnCZrN5GXUAkJSUpPDg+ZslS5agTZs26N+/P/7xj3+gqanJ52cFYio2PIy9AoYTarvRkVUE4Zm0zoIkqyt4n3F6itZZkN5f10o3xrKiKWC4jmXpgWisSeWva6GL0bpKSL+JstCClFQg3l9XXQ3A++uqq3pWcBLySqp/1PQJ7Yq+I6W85UjGOrX8w9gHoawryPVA1FUd7x+IukLzxJOSMv7+7LpCrqv+T7+mgdz3kuqqnhALUr0MJ9Q/uq6wf3/WfkWPx05Pv0IipCdPhIL7778fAwYMQFJSEn7++WfMnTsXJSUleP7554ny9fX1is2Sq6qqFL8nx1q97jHaWbUlPLOqjqwAabZIr2u0ChgXGYYzlOfIiY/yrhZn6hqJsqnE9MnPTY61oqKm0UOW1Fl5P4CW7zQbe/knx0Vgf5mnLDmvrJDKnwbpuxqdtk+N906f1lgT66rB9NMI6VdR6gopfaPv3zbO+5m0ukIqK1r61jAzNfxATkKU9yIval0lpE8r/+RYK46V1yiukTora5j3wJimq6T06boagaKT1R6ybN+qkeIxJZU/7YnJhO9quK4SdJU2ExKIukpKn1ZX2gRAV1PivZ95lpI+Sa/onni6gSonKcbbWXO2nl1X1PqV0qo6zfSjIwj9GiV9Ul2l9iuxEfijotZD1luOpL/U9yfUlWa/j52/mTNnjteCCM8/+/btAwDMmjULF198Mfr06YN77rkHzz33HP75z39ST7pYvHgxbDab9KdDhw6K30kVgDayiotks6MjCKOVqlpyY52REOV1jdYAk/JKglQBaYZluwT2CphKaFhIaZGgGSuk97dTgsdT40jfypgKkNKnKWsKsbHyf2dBqyuk8jfqBUiI9jZsqmp1GFaU9K0EHSARGe5t2NAMy3QdgyBWXSE19rT09emq97dihaarGQRdpahKQOpqO8L7V1M8JmRdDYCu0AashPI3+v5tCIaNnvT1eDdJkAwbWvokw4qWPulbkSCVH62tINVVmsfOkK5Q2kpSXaUVM0lXAtGv0Lx7JFqFYffggw9i7969qn+6dOlCvHfIkCFoamrCkSNHiL/PnTsXlZWV0h/P/fVInQXNsCHJskIb2ZEUgIax9Nk7qzrKKDgt3lvWKCmERoXqsSF9K4MaEB9J8tjQGkv/dxa6vJs6OuvIcLaCIRnm1PcneFdp6evxhHqnb3wUTioro+mTdJW2mS2rYakH0jN1eUwMeoxsRO8me10xOhNC9m4anwlh1WHigJliWJDaSlr5pxuoKzTDSo/HyJiukt+/fUK01zXagN1I+jSvfLqNMAih6ArZBvA5SwDIg4CzdeeYYde2bVv07NlT9Q8tZi8/Px9msxkpKSnE361WK+Lj4xV/5PRIi0PHpGh0SHJXBNpmrs9c24d51Dn9km4Kzx2tAWgba8V5qbHo1MatCDT3+mMTsohz9yRmj+upkKVNr0RHhKFfhwTFCKeSktcHRnWHNczMVOmfvPJ8prKymE24sFsykmPd35eW/m3DOiMmwqLwnNIay2ev78vcYI/JSkW87Jm09K/q3w62qHBFQ0BL/9XJA5gbh2v6t0NMhLvToqV/0Xlt0TbOqqirtM7ytVsGMad/a04nhSFISz+7nQ3tE6MU6dO2G3hOR/nfM7KrQldo6bdLiELXtjHomCTTFUpjvWBiFrOuPjTmPIWu1FC8UHGR4ejdzsakKw+O6UH03BPzegVbXsMtZgztkqSYZqOlf+eITERHWBAtq1e07/H3a/swfSuTyYTcXikKLy8t/esGdkB8ZJgir7Q0lv6lP3NdvbJfBmKt2ro6qlcqkmMjFHWVlv6bt7LryuQhHREl8zLT2vX+HZ1tqjx9Gi/c2I9ZV+66qAuTrnRqE4MuyTGKfoUWj/bUVdnMujIz9zxFrCst/fioMGSlxyven2aEPjKuJzF+lsRjE3ox5TUizIzBnZMU3kBaXu8e2RVR4RZFG0ibiVp8TW9mXbmkR1skynWFYgSTaBWGHSt5eXl48cUXsXPnThw+fBgffPABZs6ciZtvvhmJiYk+PTPcYsb6B0di/YMXS9do7u3+HRNRsHAs7h5J9h7KeWhsD+xa4N7yhRYLYDKZ8M0DF2HtzJGy9MmyPdLisPvxsZh3eZZm+tMu7ordj4/VlAOAFdOGYcNDF7vTpyhAxzbR2LlgDF6e1F/zmbfkdEbBwrFMndt7dwzGT3Mu1Uw/NT4S2+ePxr+nXCBdoynZdQPbY8/CsUwN62u3DMSWR3Nl6ZPLPyE6AlseHYXld7k34zZRXu+y3ukofGIcBnXSrpfP3dAX2+aNdqdPqX8x1jD8NPtSfH2/e89IWozRyPPaovCJcRjfW3v1+BNXZiN/vqyuUuqfNcyCHx66GOtmXawpO6hzEvYsHIvbhnXWTH/OZT0VukL7/mazCd/NHIl1D47UlD0/w4aChWMxe1xPzfSnX9qdWVdW3TfcQ1fI75+ZHINdC8bg+Rv6aj7z9uGZKFjIlv5HU4di0+xLZOnTpq2jsGP+aLxx6yDpGq2zuuGCDtizcCzTlNgbtw7CL3Pdx0nS3j8pJgJbH8vFh3cOka7RBkGX98lA4RPj0Ke9TTP9F2/sh18fk+sq+f1jrWH4ec4ofDn9QukabVHQJT1TUPjEOOT2SiX+LmfR1b2xY75cV8nvHxluwQ8PX6xo12l9wJAubbBn4VhMHtJRM/3/G99LqSuUtsJiNmHtrJH4ftZITdnsdk5dmTX6PM30H8jtjl2Pu9OnFClMJhO++tuFiraCln7XtrHY9fgYPHNtb8307xzRhVlXlt81FBsfkekKJf12CU5defXmgZrPnDS4I/YsHEuMN/TkrdsuwC//59YVmneTxDll2FmtVixfvhwjR47E+eefj0WLFmHmzJl4/fXXDT03zGJGuMUsGSG90uOpspHhFlzVrx0AoHuK+pYukeEW3H2R0wh8ZFwPqpzFbEJEmFnyWg3JTFJ95mhXA6Q13RQZbsGDLmWddjF9w2izK/3OrtGdWgMXGW7BYFf+5N4Amuyj43sBAG4eSm+0TCYTrGEW9G7nbNgn9sugylrDLOiZ7t63UC3GLzLcgpm5zve/UuWZJpMJkeEWDO/WBgBw0+AOVFlrmEUxdRBFiBGTp3/3SGe5j+pJ9ijL0x93vtMI++vwTKpsRJgZcTKPhVpnHBluwa05nQEAgzvT65Qoe/3A9gCA6Zd2o8qFufREtKfPS6XvIRkZbsF1rmf2TFPfazIy3CK9t5auhFvM0rTgIJX3igy3YFy2s0xJMTeesjNyuwMA/qby/qKuiAOGS3q2VX3m8G7JALTjcyPDLdKATc0YFnUly9VGXd5XXVeyM7SNJTH9B8c4y/2aAe1U048Mt0ht1A2D1HWlg8y7qjbIiwy34F5XGzUmi97+iOmLbZRaWUWEmRWhFqTpMXn6fx3ufFZOlzZUOVH2mv7OMlJrV8MtZkUMaddken8RGW6RyvL8DHr/I8pOyekEANI3IyHqiujh7NeBPsiMDLdgfO90AFB4+Wiyoo6IOkNC1JUMV3t5oUsXaM8c0d2pS4mEuF9P2f8b7xyw3XEhva00m5260sPVRo07P131mf3aJwDQjgWNDLfgkbHOcr9hUHuqnKirA12D+4kquup1r0DbyIZDpKqqCjabDZWVlV7TsmfqGlFdb2ea8y8ur0FyrBVRGsaNwyGg6FQ1uiTHaC40qGlowumaRs1OCACOV9TCFhWOGKt6hyEIAg6frEZmmxjNGJe6Rjv+PFOvaIxplFXVISrCQoxR80y/6GQ1OrWJ0XRh1zfZUVZZj44aDQsA/HmmHuEWExKi1UdOgiDgyKkadEiMQpiGu7+hyYGSylp0ahOjmf6ps87FOqTVb54cOVmNdolRxHg6OU12B4pP1yIzWTv9yppG1NvtxBhFT46dqkGqzUqMUZJjdwg4eqoamQx1taquETU6dKVtnJW4UEKOHl2prm9CZW0jMUbUkz8qapEYHU4MPpcj6gpL+rUNdpyqrkf7RO26WlpZhxirBXEMuhIIXT1xpg5WiwU2jQ5Tj67q1RWTycTk5WDVlUa7A78z6kpFTQMa7QJxpagnR09VI90WpTnToFdXahvsTHGXenTlCGP6Z+ubcKaukRh35snvp2uQFBMRMl0pqaxFXGS4YrpdLX2/60pVHazhFmI8qWf6enUlMdxOtT084YadTtQMOw6Hw+FwOBx/o8f2OOf2sTOKaAd77mfH4XA4HA6HEwhEm4PFF8cNO52cOnUKALz2s+NwOBwOh8MJJGfOnIHNph77yg07nSQlOYN+jx07plm4HHaqqqrQoUMHFBcX8yluP8HLNDDwcvU/vEwDAy9X/xOqMhUEAWfOnEFGhvYiCm7Y6cTs2tHWZrNxRQkApL0COcbgZRoYeLn6H16mgYGXq/8JRZmyOpPOqe1OOBwOh8PhcFoz3LDjcDgcDofDaSVww04nVqsVCxYsgNXq+8HDHG94ufofXqaBgZer/+FlGhh4ufqfllCmfB87DofD4XA4nFYC99hxOBwOh8PhtBK4YcfhcDgcDofTSuCGHYfD4XA4HE4rgRt2HA6Hw+FwOK0EbthxOBwOh8PhtBK4YcfhcDgcDofTSuCGHYfD4XA4HE4rgRt2HA6Hw+FwOK0EbthxOBwOh8PhtBK4YcfhcDgcDofTSuCGHYfD4XA4HE4rgRt2HA6Hw+FwOK0EbthxOBwOh8PhtBLCQp2BlobD4cDx48cRFxcHk8kU6uxwOBwOh8Np5QiCgDNnziAjIwNms7pPjht2Ojl+/Dg6dOgQ6mxwOBwOh8M5xyguLkb79u1VZbhhp5O4uDgAzsKNj48PcW44HA6n5bK2sBSzPt4JweO6OBfy/I19MTorLdjZ4nACwtrCUiz5Zh/Kquqla6nxVsy5rKdmPa+qqkKHDh0kG0QNbtjpRJx+jY+P54Ydh8Ph+IjdIeDZDVthskaDFNRiAvDshmJcNbg7LGYe9sJp2awpKMFDKw9CgAVma7R0/WQ98NDKg3g1Ng7jstM1n8MSAtaiFk9s3LgRV1xxBTIyMmAymbBy5UrF74IgYP78+UhPT0dUVBRyc3Nx8OBBhUx5eTkmT56M+Ph4JCQk4I477sDZs2eD+BYcDofD2VJUjpLKOurvAoCSyjpsKSoPXqY4nABgdwhY+GWhl2cagHRt4ZeFsDtIEvppUYZddXU1+vbti1deeYX4+9///ne8/PLLWLZsGTZv3oyYmBiMHTsWdXXuxmPy5MnYs2cP1q5di6+++gobN27EXXfdFaxX4HA4HA6AE2foRp0vchxOcyXYg5gWNRV72WWX4bLLLiP+JggCXnzxRTz22GO48sorAQDvvvsuUlNTsXLlStx0003Yu3cv1qxZg61bt2LQoEEAgH/+858YP348nn32WWRkZATtXTicQGN3CNhSVI4TZ+qQEheJwZlJfEqL02xIjrH6VY7Daa4EexDTogw7NYqKilBaWorc3Fzpms1mw5AhQ5CXl4ebbroJeXl5SEhIkIw6AMjNzYXZbMbmzZtx9dVXhyLrHI7fWVNQgoVfFipGiem2SCy4IospjoPDCTisYww+FuG0cFLiIv0qp0WLmopVo7S0FACQmpqquJ6amir9VlpaipSUFMXvYWFhSEpKkmQ8qa+vR1VVleIPh9OcWVNQgmnvb/dy/ZdW1mHa+9uxpqAkRDnjcNycPFuvLaRDjsNprgzOTEK6LZI6RjHBOfAenJnkl/RajWEXKBYvXgybzSb94XvYcZozWkG6AvwbpMvh+EqwvRgcTqiwmE1YcEUWAG8HtPjvBVdk+S1UptUYdmlpzj1gysrKFNfLysqk39LS0nDixAnF701NTSgvL5dkPJk7dy4qKyulP8XFxQHIPYfjH7SCdAG+0pDTPAi2F4PDCSXjstPx6s0DkGZTDlTSbJF49eYBfg2RaTUxdpmZmUhLS8O6devQr18/AM4N/TZv3oxp06YBAHJyclBRUYFt27Zh4MCBAID169fD4XBgyJAhxOdarVZYrTx4l9MyKK1iC75llQs2fMHHuYPoxZj2/naYAIWXORBeDA4n1IzLTsforLSAt3EtyrA7e/YsDh06JP27qKgI+fn5SEpKQseOHTFjxgw89dRT6N69OzIzMzFv3jxkZGTgqquuAgD06tUL48aNw9SpU7Fs2TI0NjZi+vTpuOmmm/iKWE6r4CTjqipWuWDCF3yce4heDM/vnsa/e4uAD8T0YzGbkNO1TUDTaFGG3a+//opLLrlE+vesWbMAAFOmTMHbb7+NRx55BNXV1bjrrrtQUVGBCy+8EGvWrEFkpNv1+cEHH2D69OkYNWoUzGYzrr32Wrz88stBfxdOy0JPAxbKxq6iptGvcnow8t7igg/PyD9xwYe/pyo4zYdgeTE4/oUPxJovJkEQeBS1DqqqqmCz2VBZWcmPFDtH0NOAhbqxe/bb/Vi64ZCm3PRLuuGhsT38lq6R97Y7BFz4zHpqbKAJTg/OptmX8s6ew2kG0AZionbygZj/0WN7tJrFExyOP7E7BOT9dgpPfLkH9zBuHdIcthlhdfH7cyrA6Hvzo6U4nJaDP47HEtvXVfl/IO+3U3yVvp9pUVOxHI4v6J0iJHmfPBHgHJ0u/LIQo7OcK6rVGju5bCC9TkO7tEFCdLjmVGuln6ZiWRt5tffmR0txOC0HPQMx0gAy1LMa5wLcsOO0avQ2IrQpBhKeniQjjZ2/sJhNePqqbNz74Q5VuSe/LsTYbONGpp7tVWjvnRzLeLQUoxyn9cOD9kOHkYEYj6UNDtyw47Ra9DYiat4nNb4pKEF8ZDiTbDC8TgdPnNWU8ZeR6ZftVVgLnM/WcNC6PD7NyUBlzYuvG0trefeDNasRaoLxzblhx2mV+NKIsHifSLybd5RZNtC76K8pKMEL3x9kkvWHkVnOeNyTmtz6fWXU3+ScrG6+R0s1pw66JcJafq3J47OmoASPf7EHpVXuep0Wb8XjE88P+js481KoGIClxUfi8YnexvLgzCTNcI/E6HCvjaWNTuE2R/wR5hOIQQk37M5hWnNn5EsjEmhvWqB30ReNWVb8YWT+frqGSS4pJoJ43e4Q8Hn+H0zPaK5HS7UGD1Io24LVu0rw2KoClFc3SNdI5deaPD5rCkpwz/vbva6XVtXjnve3YxnFQA3Ed6LnpU41L2qQvlFLi6XVKmt/hfkEYlDCDbtzlNbQGanhSyMSaMPhpgs6BrTD0eNx9IeRaXcIWLXzOJNsmi2KeH1LUTnKq7UXcrSJiWiWR0u1dA+S3SHgn+sO4s1Nh3G23i5dD3RbIHaab/z4G9bv+9Pr9xJC+bUWj4/dIWDOit2qMnNW7PYyUPV41fyZl7keedlSVK65OKuiphFbisoxODNJMo5OnmHzuDeHAZxW/+jPMB/5oOTSnqnYdvS0YcOdG3bnIC29M2LBlzgQ8ezK0sq6gIRzVdY2KP7t79G3npGuP45q8odRxprnK/tlNDsvTEv3IK3eVYJZn+Sjrsnh9RvJsPIXLKvOAWcZysuvpXl8aPzy2ykmw+iX305hePdkAIHxqgHAL4e183K6phG/HD6F4d2ceWEt37WFpZj58Q7FVLPZBKjtbJIWbw35AE6rf3zlL/3x5Nd7VXcCePyLPbrCfMRBydDF6zQ91yzwfezOMfyxB1FLQIwDoUE6YFw8uzJQvPXTEWlPtzUFJbjwmfWY9MYveGB5Pia98QsufGa9ob3uWI3Zmbnn+aWz9odRxppnWxR5KjeUtOT99xavLsS9H24nGnUiomHlz7aAtuchDXn5+Rq0HyjsDgE/HTyJZ7/dh2e/3Y+fDp1kKquffvP2UKrJsXjVHvxkp0/fKe+3U7rlWMv3rZ+OKIw6QN2oA4C6JgfWFpYyPT8QsPSPj60q0Ky/pVX1WLrevVE8a1spN+oA3/dA5YbdOUagOiNfG7lAsbawVHUkKoDstRLPrkyKYVvlqpeFXxZi9a7AbGQsehzVfENmE9A9Jdan53vC2sCL+/yRGJyZhLR47W1Mlm89plqfahvsmLdyN27592bMW7kbtQ12qqy/YF0RzNKos2zY6q9NXVfvOo7XNhYxyfrTMPV11blYfqcZFs8kEIL2A8GaghIMfGotJv97M5Zu+A1LNxzC5Dc3o8/Cb7F6l3p4wvEKtnojyrF41aob7PjnOrZFU/J6xBojK4+aY2lnfKWipjFom7mTYOkfWWYpAOCF7w9I7+HrYEOAbwMsPhUbBJrTIoXvGUdDpM5IfI/SylqUVzcgKdaKtPhInK5uwP+t3K1ofJZuOIQYqwX/uLYPxvfJ0JXHhiYH3ss7gqPlNeiUFI1bcjojIox9DMIywo2OsFANjnHZ6WhqEvC3j3fA3wfulVTW4bFVBQGZvrOYTZjYN12103YIwH0fbserZu+pG731lGXqWiuWz2I2YdLgjporedVip6a+uxVrC09I//7xIPDeL8cwOisFb9x6gepzfWVNQQke+3wXk6x8/z1SGa8tLNWMd/VXTKzdIeDRlQXM8gBQWlmrS56Gr6vOU+IiYXcImPu5uk4DCIix4QltWhQAquvtuPfDHbj79wrMHU/2/rdLJMebelLX5Byc/HToJJP8m5sO42+juhvefJ1ETpdk6e/izAatDIziOQXPij/6WX9P44uxkuv3GfNCllTWYduR08zy3LALMM1pkYKeFYgnz9RjVf4fqp2PFiyNnCeLVxfijR+LFC77p77eiztHdMajE85negZLDEtNg10RwyJn9a4STF+uvsGvETzd7XKMBICvKShh8sQIcMaAyAN1j5yswYebj6JMFuCcGB2ORVdlUw1zsYGf9v52mKBcCSc2p55eUVLj2zk5hun9jp+uwb9/rFQY/Pd9uE1h1MlZW3gCU9/d6nfjTq1jJyK47/Pc3sIWGYbKuiavW+TxrgCIMT8llfrjq7YUleO0zlNH1OorCVoH62unebq6Ab8cPoXKWu9y8pJ1Be1r6Q4pjwA0DQO7Q8DjX+zRzMdrG4vQt30ixvfx/i7DuibjlQ2/aT5jS9Fp2B0CjlewGdZn6+14Ye0BDO+WTMy7ns3X5SREh2OoR3mOy07HFX3S8OWuwEyb6m0D/dXPHjlZrTuvalTUNOL+j7bj693Gy6lMh/5wwy6A0BRJbJD/9Zf+ur1ZNFhGK6zB7iYT8OTXe6V/sxxRpcZrG4sQFR6GzLYxqiOpxasLiYaJAOCNH4/gyKkapk467zDbCDfv8Ekvw271ruO476PAGXWs6O0EWTsckdKqegx4ci3O1tM7y9M1jZqGuTh17dmophEaVVrje9MFHZjy/NBnuxQeVHkdpbG28ATO1jVh9x+VPo3kPfVqYKdEXVvKAM7992jGIMmoA9zeW+c3Nal2xqQVlDR8Ma6SGE/8sDsEvLT2AF7fdBh1je7YPbGD9XU66smvC9G3fQKz/Deu6S/P72x3CPjlt1N4f/MRbDzwJ6ob3HlMiAqDACiMR9LAZktRuVfcGI15qwowNjsNdoegmIH4y5BOiLFaUF2vHi5QXt2ALUXlqGtkDytYuuEQlm445GXU+DoNDgBLrulNNHA3HmBrZ32F1VOs1c9qDXxqG+x4enUhik5W49cj/o+H9YdRB7CFIogwG3ZVVVXMD42Pj2eWbU3IO4HkGCse/0Jdke79cAeWOoDL+2V43a+nA9La6FJ87jeMcQue049GjDqRF2XxH3GRFlw3oD3GnJ8uvWNDkwNv/KjubVpbeAJf7jyOK/pqGcOs7nfvEa3WUVxGibNacEajQQf0x2To6XBE1Iw6Oa9tLELvjAQkxkS4jGYTcrq2wdAubWAxmzAuOx2js9I093yirTR74fuDTIMHX6fFBz61FvVN3oaG53YELFOkcZEWnKnTF7+XHGPF1Pd+1Z1vAWD6phU1jVi6/hAeyO2uKeuLcZXCYNitKSjB/cvz0aCywvaVv/T3adV5SWUdTteQvbIk3s07infzjnptTzFnxW5qHasgeANJA5vXNx7ykqNxqroBDyzfgdW7SxQzEItW70W7xChU12sbLqWVtdjsQ4yjp/PAl2nw6Agznr+hH9Eo2lJUTh2U+AsWTzGLwTrrk52IiwyX2is5nmEczZnEaPYFZMyGXUJCAkwmxlGuPfCBy80NX2MXpi/fgd3HK9C/YyLVlazWaWptdHn3RZn4YmeJT7EtgeJMnR3/+fko/vOzu/H9vrBMc8UUADzy350Y3ztd1eDN6doGSzdoN8ByN79ej5evmE0mxERYUK0S3B8TYdEdAB7oLR48p6aXbjgEW1QYnrm2D8ZlO78HbdqEZaVZDaOR6Qv1HsaG51YeJN2lGZp6jbpwswmbi06hJsCLOf696TdMv7Sb5rS3uFhF1yCAoGqi9yvv8En89mc1vilQ90oIcHpY503Iwn0fek/dayH3ALIiTmffdVEm82IREuK0KiBgw359XqqvdnkPph0CUFzO5o0qr27QPXUuZ/pHO7AUJjQ69JdfTYMDtNuCsaXM7j8q8djK3RAEAbbICJjNygElwBa3WdNgx+Q3NyMpJhxPXen2wLYkow4Afj8dgKnYDRs2SH8/cuQI5syZg9tuuw05OTkAgLy8PLzzzjtYvHixjqy2DnyNXRBxNjreDY846oqwmNBgdz9dbvBpLRIw0qAFA/EdWaltdFBj40Qqa7RHeglRzqr/+fbfUV7dgPKaBt0eL19gGeVWN9jxbUEpMT6Hxnd7gr+KrLK2Cfe8vx0zc7tj+qXdqUbFyTP1mo2vvH4HAzFA2+FwLibxTN0fXmoAaHQITIMMo1TV2TH5zV/wwZ1DYTGbiJvZWsNM6Jkah45J0brq+kmP4+C0vF80SirrkBgTQZy6DwTiN33dD23gw//diQhLcDeRSIgOZ54Gp+EQgHs/dOqoL8z6JB9js72n+ZNjjOWLhZX53quLl244hITocCy5pjfGZafrMjDLq90e2Bm5PVqUUQcA/91ezCxrEgT9ExyjRo3CnXfeiUmTJimuf/jhh3j99dfxww8/6H1ki6Gqqgo2mw2VlZWIj4+H3SHgwmfWB90jZgJw/6hueGld4DuN5sb0S7pi5ugeksdAPjUIgOl72KLCmIKxQ4XFBBQsHIeoCAsA90rholPVMAHo2z4BlbWNSIq1Ijk6Arf8Z0tI89s2Jhwje6Qg2hqGs3WNWLv3BM4EeKrGH8Raw5inpFsCMREW3Dy0o18HdDNzz5OmeXUvHPHguev7IiMhCsdP1+DxrwqZ6ojnwPZcITE6HEv/MgCT39xs+Flp8VbUNzl88v7NGNUdM0afp7j2/Lf78XIQBixq/Osv/fHvn4qw7WiF7nsv6p6MjQcDGyPobxz1NSh+8QbJ9lDDJ8MuOjoaO3fuRPfuylHAgQMH0K9fP9TUsO6N0/LwNOzyfjuFSW/8EpK8aE3ptVYuy05DHmFvJ6vFhMv7puOz7WzHXLUERvVsi6jwMHxdUOL3rVc4HBbSbZHYNPtS2B0C+j/xnaE2xxpm9poa59D54I4heOi/O/3iOOjfIQE7iit03xdrtWDngrGS1462yK0lEWYGWlo11GPY+eRb7tChA9544w2v62+++SY6dGBb4dZaCOXxNeeiUQcA3xSQNx+utwutyqgDgHX7/sRXu7lRxwkdJZV1WLr+EPo/acyoA7zjHTnqnKyu99tpOL4YdYBzGxVxk2o9m1s3Z1p7NfRpu5MXXngB1157Lb755hsMGTIEALBlyxYcPHgQn332mV8z2NxpDgcWczgcTiB54fsDoc7COcmRkzV4ILc7JvRO89u2Gb6wtrAUgzOT8OhK7U2iOYHBFhUG1ig7nzx248ePx4EDB3DFFVegvLwc5eXluOKKK3DgwAGMHz/el0cGnVdeeQWdO3dGZGQkhgwZgi1bfItROtXMD5zmcDgcTsvkhe8PYMzz/wupUQc4z31duv4gTte0nnjUlsbNQzozy/oUY9fS+fjjj3Hrrbdi2bJlGDJkCF588UV8+umn2L9/P1JSUlTvlcfYxcTGYdBT3/HKzuFwOJxWDcumypzAkBAdjg33D0FSYoJ/F0/s2rUL2dnZMJvN2LVL/YzEPn36sOc4BAwZMgQXXHABli5dCgBwOBzo0KED/va3v2HOnDmq94qG3fHjx7Gv3I7b39sZjCxzOBwOJwS0xEB7Tuvi+WuzkNM+EhkZGf417MxmM0pLS5GSkgKz2QyTyQTSrSaTqVlvUNzQ0IDo6Gj897//xVVXXSVdnzJlCioqKrBq1SqFfH19Perr3fs4VVVVSQtEontdhLYTHwlKvjnNg/L1/4b97CnYqyvQ9so5MEfFMW/cHUwayorgaKhBZAe283U5HA5HC0EQmmV7Fwwa/jyGiLYdQ5J26YdzUV/sjG9kMeyYF08UFRWhbdu20t9bKidPnoTdbkdqaqriempqKvbt2+clv3jxYixcuJD4rLBE9g1kOa2DhhOHUX90J6LOy4E5Ki7U2aESkZoJe3VFqLNxTiMOfM/VjpDT+jiX63KojDoAsMQm6pJnNuw6depE/HtrZ+7cuZg1a5b0b9Fj98GGXfi/NcdCmDNOKOhx2zNYMOE8PPPdbyg7E/iTKoxgiUkIdRbOKWIizIgIs0ibwJ7LnSCHw/EfX336AXomWZCRoXVOuhOfVsW+8847+Prrr6V/P/LII0hISMCwYcNw9OhRXx4ZNJKTk2GxWFBWVqa4XlZWhrS0NC95q9WK+Ph4xR8AeH7db0HJL6d5UVnXhFmfFTZ7o44TfKobfNvZn8PhcGgkxUTgol7tEBMTw3yPT4bd008/jaioKADOM2KXLl2Kv//970hOTsbMmTN9eWTQiIiIwMCBA7Fu3TrpmsPhwLp166Rzb1k4cZY34BwOx0mM6+g3DofD8SdDMhO9zurVwqcNiouLi9GtWzcAwMqVK3HdddfhrrvuwvDhw3HxxRf78sigMmvWLEyZMgWDBg3C4MGD8eKLL6K6uhq33357qLPG4XBaGNf0z8CKHa3rxBN/EGEBztHDcVoU4WYTGh3n3K5nLYaubfXHcvvksYuNjcWpU6cAAN999x1Gjx4NAIiMjERtba0vjwwqN954I5599lnMnz8f/fr1Q35+PtasWeO1oILD4XC0SLdFhToLzRJu1LUMJvTmiwCNYLWYcEFnfYsb9JDTtY3ue3zy2I0ePRp33nkn+vfvrzhtYs+ePejcubMvjww606dPx/Tp032+PyU2HCf5bCyHc87D10ic29iiwlFZ2zI7A7MJuLp/O6zcyT3OvlJvF7D1yOmAPDsmwoKhXfQbdj557F555RXk5OTgzz//xGeffYY2bZwJb9u2DZMmTfLlkS2OuRP8czAzjfsv7YYP7hgCW6RPtjeHQJgJuO+Srrj34q7I7aV+wgiHw0pOl2Sk2yIRDPsuKtynJpsTQP46PDMo3z4QOAQgzGJGQnR4qLPSbAjXGc8WSO66qKvu+DrgHD1SzAjyI8V+PlaN+5fno0FlW/K/XdoVxeW1+P10LX49ymbVh5lN2P/UZbCYTVhTUIJ73t/ur+yf0wzunIhP7hkGAJi/qgDv5jXvFdyc5o0JQJotEptmX4q1haW69TQ+MgwLrjgfFTUNSIiOwKLVe1Fe3aCa1voHL8awJetazepbM4Ar+qbjq10lsAepJxK7SX8lN3VEJgZ2SsTjX+xBaVXLWy3/0k39YA0zt6p+JibCgtdvHYQTVXU4caYOi7/Zz3zvo+N7Iivdhvs+3I6KEHpiY61h2LlgjGTYyW0PrQ2KfR7+/fjjj7j55psxbNgw/PHHHwCA9957D5s2bfL1kS2Ocdnp2PvEONx/STdEeoyk022RWHbzADw4pidevKk/Pr47B3GRbCvnruqXIX3McdnpWHbzAES30lV3CVFhiAzz3QvBWqYAcEFmkvT3TknRPqeph9boYIm1tsKX8pEFV2TBYjZhXHY6hmbqi7O5bmB7XDuwPe4Y0QUxVgvO1qufOb3giixERViw+JreRrLcrBh9fiqev7E/IoPYvgmuP/7yy/x7UxEu7ZmKn+aMwszc8/z01OCREhcp9TOpcRGhzo5fqG6ww2wy4eoB7XH3yG64oo/3VmYkzCZgyrBMDO+ejCXX9g6pJ/aGQe198tYBPhp2n332GcaOHYuoqChs375dOnKrsrISTz/9tE8ZaalYzCbMGtsDexaOw0dTh+Klm/rho6lDsWn2pRiXna6QW3yVdoNsAvD0Ncqzdsdlp2P342MxY1R3xFqVDWC6LRL/+kt/JMWExpXuS72775KuUjltmzcGe54Yhw/uGILpl3TF9Eu64b2/DkZafKTqMxKiwvHBnUOw7bExSGScRhjWNVn6+y05nX3Ku17++ZcBWHbzAOpUhy9ZSIgKgy0qNFP0M0Z1x/Z5Y8/5qZs2MRF49eYBko6vKSjBL0X64mxG9UqV7r3n/e2qnv/crBQpLbET9qUOREf4xyj31/fvnhKLLUXlPh8ubwIwoTdbpy3n9mGdkGZTtjG+tgcOAXgv7wgsZhMeyO2OZTcPQLpNvf1qLiREh2Owa8A7LjsdP8/N9Ztxmm6LZDaoAsGJM3XS31+8aQDTlkR3XJiJCJejYVx2Ol5VabsDzegs38vOp97hqaeewrJly3Drrbdi+fLl0vXhw4fjqaee8jkzLRmL2aS5euXyfu2watdxrC08QZW56yJ3xfJ8/ozR5+Fvo7pjS1E5TpypQ0pcJAZnJklW/b0f7jD2Ej6wdFJ/JMZYceJMHX48cBL/3f675j0XdmvrVVbDuydjeHe34fX4xCxMc00NyKdMxLZ3ybW9MbybU37RVdma754YHa4IQo0IM2PqiEy8tjFwx+PdfVGm1BmPzkrDL7+dwk+//YnjFXVolxiFYV2TUVnTiPs+3M48LfTo+F7464WZWLr+IF74/mDA8k7jzU1F+Nuo7lhyTW+/Tt2k2yIxsW860/cwQVkn0uKtOF3TiHofT2qPDDdj8uCOyM1Kw6kz9Zi+XL0uJcWEI2/uKElP7Q4BC78s1J+w4Lx3waoCTdF1e0+gocmh6HRGZ6Xhn+sO4sV19HpwaY9kDO/WFkmxVhw7VYMXvz+gP58Alt7UD23iIhXtztrCUsPTjzldkhUdsB7SbZFYcEUWRmelYdvR9SitYn9O+8RobJp9qaItPV3dgHs/9K1OHy2vkf4ufhvx2UdO1uAFH8s90Nw+LFPhFRKN0+4pMbjvwx0+TVdPv6QbhndLlgzGHw+tRYUfQgf0bsuSEuc2ri1mE567oS+mvU9va0dnpeBRQuy8nrzHR4ahqk7d885Cm5gIqfx8wSfDbv/+/bjooou8rttsNlRUVPicmXOBN269AIu+LsSbm4ogj240m5yxGnPHqy/KoBmQ4/tk4O7fKzQ7xtxebbH9WKUilifdFol5E3pJBlpyjBUPfroTZVV1VCUwmYBXJg3A+D5ur+TlfTLw/b4yVUVIt0UyVVhxtLTwy0KUVLob7DRXYy73hrK8++Jrenu5teeOz0KTw4F/bwpMrN0XO0vwyLhesJhNsJhNXsaryKvmAZodpBhj9dcLnQ1x52T2Xcj9ydn6Jvxy+JTkNfLMd1q8FRN6p+PfPx1hfua8Cb1w23Dne0VHhGkarILrnuQ4q2RkPPXVHvznZ+3veMvQDuiYFIOtR04jJsKCawa0x7BuyYq6sfs4vS6ZADx9dW/F4GtLUbmijrJysroeW4rKUXaGHFcnR/QK3TGii3RNHOz1TI/z0pOkmHA8dWU2xvdxHkFkdwi48Jn1qh21p8EMOL3DS67to9A3EU8DJikqArf+ZwuzMRAdYcHQrm2wpaic8Q43M3O7Y/ql3aXv9vjELF0DjaRYK7EtveNoZ111V8QztMP72ULQBmImAClxEahucKhO7ydEh2P6pd2IvyXGWH0y6tJtkZg5+jyFPi25preqQcXKPRd3xSsbDkHLthPbSs9+htanxEVasPiq3ri8XzuFvC8DttuHZ+IllYEWK1fKwrF8wSfDLi0tDYcOHfLa2mTTpk3o0qUL+SaOxKMTsvDw2J54L+8IjpbXoFNSNG7J6Uz01Olh7vgs9G2fiFmf5KPOw3thMgF3uQxHu0Ogev1ERI8ZqbEHgFcm9VcYdYCzMaMpsfh0MSaJBc+Og5ZX+bs/tqrAy2j1NATlzLs8G4AZ/95ENwqnjuiMr3aV6u68SyrrsKWoXNOTK77n0vWHiCN7Utklx1h15cWf5P12CsO7JVO/z5aicubOMd0WKRl1AJgN1uQ4K66UNcTtE9liJju3icUdI7pgqve4VEJvXfLV45Ti8oCxIvcKyWHRExbjU4AzcNy5dYfTMBnapY2qvnoaMHeO6Iw3fjzC9D53u1b8Dc5MQrotEqWV9IGkSGJ0OBZf09vrG4zLTsd1A9rhv9v/YEqbFuqRm5Wm27Azm5yhHWr4eyCWEBWGylqn0Uaa0Vh4ZTYAqBpUSwiDXRFf6zSpfacZVDFWC/MUfEJ0OGbknoeGJjuTV5/Wz+jpU/QO2EwmYFAn/+xnZ4syFuvok2E3depUPPDAA3jrrbdgMplw/Phx5OXl4cEHH8T8+fMNZehcISLMrBh9+4vxfdIxNjsNPx88ic92/I6aBjsu6JyEKcPchiPLtDFNGbUMJT2eNhZY8ioivjuL0sqZd3kWwszA6xuLvBrJuy5yGsNmk8mnaVvWBlKcAumRFstWdoyDOZbpC9Fj+/B/d6GaaVdZ9/NI32dgp0SYTdAcWQPeDbB8+kQNT7mkWDZDl1VOT11izbMc0XOtx1ultuBHS09Y62FKfCSmXtSVOU+ePDrhfBSdrMb3e/9UlZN7iyxmExZcoT6QjImw4K6Luii8dJ4M796WybBLiAqnzhqIRqaeDn3qCHL4jBzWOpIUE0FdGS1iArDkWmcctlZb4Usbrie/cmbmnqfaL3gaVA5BwOQ3NzM9WzRCxRmtN34sIrYvLO/G2qfoNW4FAdjsg/eZxPKtxzD90m4+e+18MuzmzJkDh8OBUaNGoaamBhdddBGsVisefvhh3HnnnT5lhOM/LGYTRvRoixE92hp6jp7RjT/u8wd6DEE5c8dn4cExZC+q3SHgi50lPuVHbwPJWnYnz7LFNTU6BMwY1R3v/nJU0WEkxYTj6n7tkJuVJj1/f9kZvLTukOYzc7p4TyfL2Xb0NJNRR+oItLw3tGmWlDg2g41VDmCvS4MzkxATYWE0ip2IBu3gzCSkxkVoTseaGLxCavhqMPvCm1MG48mvClW94J7eItqAMCEqHLcP76xq0IloLbgSuX14JvVZciNTqwrLZ0G0GJyZhITocNUwlcTocPwydxS2HT0txeZ9tOWYInZQnGKXx+6qtRW+tsV6vKgAYIsKo07rinjqk90haKZhNgFLJw1QtBPytrroVDVMAPp3SER6QpRf+xnfdME/m+iwzvbQ8MmwM5lMePTRR/Hwww/j0KFDOHv2LLKysvDaa68hMzMTpaWlPmWG0/zw1VDy9b5QQvOi+hJDRTNAWGApOz2NTmbbGGx9NFezcb/vku6ahp0Jym1jSLCOdCtrvY0ZNe+N6nQ+a3sagL3SLGYT7hyRyWQUx1rD8Oz17pg15/uer7n4JyrcYqjD8tVg9pV5l2dhYEd9oRFGB4Qs3ja1uDJ5PkhGpkh0uAXje6fh6Wv6GA6fkSPAW/e7p8QqyrC8uhFPfr0XZtcWOyxthS9tMYsXVU5lbRPWFpbqmpFhSWMpIeQHCNyMlxxfvLc5XZLx2fY/VPXMFhXOtD+er9PhgM7tTurr6zF37lwMGjQIw4cPx+rVq5GVlYU9e/agR48eeOmllzBz5kyfM8PhNEf8GW/iLwZnJjFvcZMSFyk17lf2a4ecruS4qW0MG2gLDHKsRueq/OOwE1x7YsfquR1Fmi1SscWInJPVbB5MVjm93D/qPM29JmMizNg+b7RX/hMZ4iVrGuw+LTIQETtRwHsW35f4VxbG90nH1kdzVbeBIuVTq56q3bvgiiyYQI9UUIsrkzMuOx2bZl+Kj6YOxQs39MW8Cb3wwo3Od9i9cCyevaGfLqNuS1G55urKippGxTdeU1CC+z7c7jU1W1pZh2nvb8eaAt9mEVih6SEJE5zTwiR99iUNcR9YcfFPKLCYTZjYl81QNcGZ56Fd22jq2e3DOzM904j3XJfHbv78+XjttdeQm5uLn3/+Gddffz1uv/12/PLLL3juuedw/fXXw2JpnRvpcs5d9CpYQnQ4lhACvP2JxWzCU1dqb/PCugoZYDdgteREo7O8Wr0jO1XdQJ1u0Ou9CeZUIwmL2YTnb+irujLzOYox4K9y18Lf8a8sBNtz72tsMAl/5l3vNxZXZJLMJHFz5YVfFmJ0VlpAQ1xEPXz7pyI8+fVeqpwA36cPQxm6o4aeEBwBys3K1fRsdFYalm8tDqj3XJdh9+mnn+Ldd9/FxIkTUVBQgD59+qCpqQk7d+6EiZ+EzWml6HXJvzJpAHFbE3+jtc2LCfq8MP4yjixmE67u145pdaFah6enYw32VCMJtS1gHp94PtWoCKZR2lw7UX/SHN9R7zfWCv8wYkjpxWI2IZkxNtXXwUdzDN3RE4KTEB2u2FBYqw76FG6iA12G3e+//46BAwcCALKzs2G1WjFz5kxu1HFaNeIUj9Y+WaLxMDSIDZSv27yQ8KdxxLpthL88aD7H5vkZX4yKYBulzbET9TfN7R31fuNgeXFZCbVHPBToKVtxGl1e59TqYKC957oMO7vdjogI9/4qYWFhiI2NNZQBDqclIHpj7l+er3r0UzCMB0983ebFE38aR6HwoIViqpGEXqOiuRilnMCh9xs3N0OKZQsjs8kp11rQW7Z6jexAepZ1GXaCIOC2226D1ep0y9bV1eGee+5BTIxy88UVK1YYzhiH09zYcew083mewcZfHgp/GUehMlaa4zQcC83FKOUEDj3fuDmEFshh2cLIITjlmpOn1AiDM5MQF2nBmTq2bYx8MbID5VnWZdhNmTJF8e+bb77Zr5nhcJorDU0OvPGj+gbFnud5tlT8ZRyFylhpbtNwrLRUo5TDDus3bm5e3OY2NRwMLGYTBnZMxA8HTmrKRkdYgmZks6DLsPvPf/4TqHxwOM2a9/KOMI1YPc/zbKn40wPIjRV2WqpRymGH9Rs3Jy9uc5saDhYjurdlMuzGZwd2dbJefNqgmMM516Cd0+mr3LkEN1Y4HN9oLgOj5jY1HCxuyemMRav3qg7qTQCevqZP0PLEQouZM1q0aBGGDRuG6OhoJCQkEGWOHTuGCRMmIDo6GikpKXj44YfR1NSkkPnhhx8wYMAAWK1WdOvWDW+//XbgM89p8aid0+mLHIfD4bBgZNNmf+Yh2BtcNwciwsyYOiJTVeaui7TPCg42zSs3KjQ0NOD666/HtGnTiL/b7XZMmDABDQ0N+Pnnn/HOO+/g7bffxvz58yWZoqIiTJgwAZdccgny8/MxY8YM3Hnnnfj222+D9RqcFsotOZ2h1WaZDZ7nyeFwOM0VX06EaQ3MHZ+Fuy/K9Gr/zSbg7ovYzgoONiZBEAJwemLgePvttzFjxgxUVFQorn/zzTe4/PLLcfz4caSmpgIAli1bhtmzZ+PPP/9EREQEZs+eja+//hoFBQXSfTfddBMqKiqwZs0apvSrqqpgs9lQWVmJ+Ph4v70Xp/mzeHUhdTNgoPkqOYfD4fgLu0MI+dRwKGhocuC9vCM4Wl6DTknRuCWnc1A9dXpsj1YTY5eXl4fevXtLRh0AjB07FtOmTcOePXvQv39/5OXlITc3V3Hf2LFjMWPGDOpz6+vrUV/v3kW+qqrK73nntAxEo+2NH4sUMRdmEzB1BDfqOBxO6+dcjZmNCDO3mIVxrcawKy0tVRh1AKR/l5aWqspUVVWhtrYWUVFRXs9dvHgxFi5cGKBcc1oac8dn4cExPUM6cuNwOBwOh0ZIe6M5c+bAZDKp/tm3b18os4i5c+eisrJS+lNcXBzS/HBCjzhye+LKbNwxogs36jgcDofTbAipx+7BBx/EbbfdpirTpQub6zMtLQ1btmxRXCsrK5N+E/8vXpPLxMfHE711AGC1WqWTNjgcDofD4XCaMyE17Nq2bYu2bdv65Vk5OTlYtGgRTpw4gZSUFADA2rVrER8fj6ysLElm9erVivvWrl2LnJwcv+SBw+FwOBwOJ5S0mDmkY8eOIT8/H8eOHYPdbkd+fj7y8/Nx9uxZAMCYMWOQlZWFW265BTt37sS3336Lxx57DPfdd5/kcbvnnntw+PBhPPLII9i3bx/+9a9/4ZNPPsHMmTND+WocDofD4XA4fqHFbHdy22234Z133vG6vmHDBlx88cUAgKNHj2LatGn44YcfEBMTgylTpmDJkiUIC3M7Jn/44QfMnDkThYWFaN++PebNm6c5inL0rgAADFNJREFUHSyHb3fC4XA4HA4nmOixPVqMYddc4IYdBzh393LicDgcTvA5J/ex43CCxZqCEq+DudNDcDA3h8PhcDietJgYOw6nObCmoATT3t+uMOoAoKSyDtPe3441BSUhyhmHw+FwONyw43CYsTsELPyyELTYBQHAwi8LYXfw6AYOh8PhhAZu2HE4jGwpKvfy1HlSUlmHLUXlQcoRh8PhcDhKuGHH4TBSWlnrVzkOh8PhcPwNN+w4HEbKqxv8KsfhcDgcjr/hhh2Hw0hSLNvRcqxyHA6Hw+H4G27YcTiMpMVH+lWOw+FwOBx/ww07DoeRwZlJSLepG23pNudmxRwOh8PhhAK+QbFOxIM6qqqqQpwTTih46JIOmPXxTgBQbHtikn7vjuqzZ4KeLw6Hw+G0XkSbg+WwMH6kmE4OHz6Mrl27hjobHA6Hw+FwzjGKi4vRvn17VRnusdNJUpJzmu3YsWOw2Wwhzk3roaqqCh06dEBxcTE/g9dP8DINDLxc/Q8v08DAy9X/hKpMBUHAmTNnkJGRoSnLDTudmM3OsESbzcYVJQDEx8fzcvUzvEwDAy9X/8PLNDDwcvU/oShTVmcSXzzB4XA4HA6H00rghh2Hw+FwOBxOK4EbdjqxWq1YsGABrFa+Ca0/4eXqf3iZBgZerv6Hl2lg4OXqf1pCmfJVsRwOh8PhcDitBO6x43A4HA6Hw2klcMOOw+FwOBwOp5XADTsOh8PhcDicVgI37DgcDofD4XBaCdyw08krr7yCzp07IzIyEkOGDMGWLVtCnaVmy+LFi3HBBRcgLi4OKSkpuOqqq7B//36FTF1dHe677z60adMGsbGxuPbaa1FWVqaQOXbsGCZMmIDo6GikpKTg4YcfRlNTUzBfpdmyZMkSmEwmzJgxQ7rGy1Q/f/zxB26++Wa0adMGUVFR6N27N3799Vfpd0EQMH/+fKSnpyMqKgq5ubk4ePCg4hnl5eWYPHky4uPjkZCQgDvuuANnz54N9qs0G+x2O+bNm4fMzExERUWha9euePLJJxVnXfJy1Wbjxo244oorkJGRAZPJhJUrVyp+91cZ7tq1CyNGjEBkZCQ6dOiAv//974F+tZChVqaNjY2YPXs2evfujZiYGGRkZODWW2/F8ePHFc9o1mUqcJhZvny5EBERIbz11lvCnj17hKlTpwoJCQlCWVlZqLPWLBk7dqzwn//8RygoKBDy8/OF8ePHCx07dhTOnj0rydxzzz1Chw4dhHXr1gm//vqrMHToUGHYsGHS701NTUJ2draQm5sr7NixQ1i9erWQnJwszJ07NxSv1KzYsmWL0LlzZ6FPnz7CAw88IF3nZaqP8vJyoVOnTsJtt90mbN68WTh8+LDw7bffCocOHZJklixZIthsNmHlypXCzp07hYkTJwqZmZlCbW2tJDNu3Dihb9++wi+//CL8+OOPQrdu3YRJkyaF4pWaBYsWLRLatGkjfPXVV0JRUZHw6aefCrGxscJLL70kyfBy1Wb16tXCo48+KqxYsUIAIHz++eeK3/1RhpWVlUJqaqowefJkoaCgQPjoo4+EqKgo4bXXXgvWawYVtTKtqKgQcnNzhY8//ljYt2+fkJeXJwwePFgYOHCg4hnNuUy5YaeDwYMHC/fdd5/0b7vdLmRkZAiLFy8OYa5aDidOnBAACP/73/8EQXAqUHh4uPDpp59KMnv37hUACHl5eYIgOBXQbDYLpaWlksyrr74qxMfHC/X19cF9gWbEmTNnhO7duwtr164VRo4cKRl2vEz1M3v2bOHCCy+k/u5wOIS0tDThH//4h3StoqJCsFqtwkcffSQIgiAUFhYKAIStW7dKMt98841gMpmEP/74I3CZb8ZMmDBB+Otf/6q4ds011wiTJ08WBIGXqy94GiH+KsN//etfQmJiokL/Z8+eLfTo0SPAbxR6SMayJ1u2bBEACEePHhUEofmXKZ+KZaShoQHbtm1Dbm6udM1sNiM3Nxd5eXkhzFnLobKyEgCQlJQEANi2bRsaGxsVZdqzZ0907NhRKtO8vDz07t0bqampkszYsWNRVVWFPXv2BDH3zYv77rsPEyZMUJQdwMvUF7744gsMGjQI119/PVJSUtC/f3+88cYb0u9FRUUoLS1VlKnNZsOQIUMUZZqQkIBBgwZJMrm5uTCbzdi8eXPwXqYZMWzYMKxbtw4HDhwAAOzcuRObNm3CZZddBoCXqz/wVxnm5eXhoosuQkREhCQzduxY7N+/H6dPnw7S2zRfKisrYTKZkJCQAKD5l2lYQJ/eijh58iTsdruiMwSA1NRU7Nu3L0S5ajk4HA7MmDEDw4cPR3Z2NgCgtLQUERERkrKIpKamorS0VJIhlbn427nI8uXLsX37dmzdutXrN16m+jl8+DBeffVVzJo1C//3f/+HrVu34v7770dERASmTJkilQmpzORlmpKSovg9LCwMSUlJ52SZAsCcOXNQVVWFnj17wmKxwG63Y9GiRZg8eTIA8HL1A/4qw9LSUmRmZno9Q/wtMTExIPlvCdTV1WH27NmYNGkS4uPjATT/MuWGHSco3HfffSgoKMCmTZtCnZUWTXFxMR544AGsXbsWkZGRoc5Oq8DhcGDQoEF4+umnAQD9+/dHQUEBli1bhilTpoQ4dy2XTz75BB988AE+/PBDnH/++cjPz8eMGTOQkZHBy5XTImhsbMQNN9wAQRDw6quvhjo7zPCpWEaSk5NhsVi8VheWlZUhLS0tRLlqGUyfPh1fffUVNmzYgPbt20vX09LS0NDQgIqKCoW8vEzT0tKIZS7+dq6xbds2nDhxAgMGDEBYWBjCwsLwv//9Dy+//DLCwsKQmprKy1Qn6enpyMrKUlzr1asXjh07BsBdJmq6n5aWhhMnTih+b2pqQnl5+TlZpgDw8MMPY86cObjpppvQu3dv3HLLLZg5cyYWL14MgJerP/BXGfI2wRvRqDt69CjWrl0reeuA5l+m3LBjJCIiAgMHDsS6deukaw6HA+vWrUNOTk4Ic9Z8EQQB06dPx+eff47169d7uaUHDhyI8PBwRZnu378fx44dk8o0JycHu3fvViiRqGSenfG5wKhRo7B7927k5+dLfwYNGoTJkydLf+dlqo/hw4d7bcNz4MABdOrUCQCQmZmJtLQ0RZlWVVVh8+bNijKtqKjAtm3bJJn169fD4XBgyJAhQXiL5kdNTQ3MZmUXY7FY4HA4APBy9Qf+KsOcnBxs3LgRjY2NkszatWvRo0ePc3IaVjTqDh48iO+//x5t2rRR/N7syzTgyzNaEcuXLxesVqvw9ttvC4WFhcJdd90lJCQkKFYXctxMmzZNsNlswg8//CCUlJRIf2pqaiSZe+65R+jYsaOwfv164ddffxVycnKEnJwc6Xdxa44xY8YI+fn5wpo1a4S2bdues1tzkJCvihUEXqZ62bJlixAWFiYsWrRIOHjwoPDBBx8I0dHRwvvvvy/JLFmyREhISBBWrVol7Nq1S7jyyiuJW0r0799f2Lx5s7Bp0yahe/fu59S2HJ5MmTJFaNeunbTdyYoVK4Tk5GThkUcekWR4uWpz5swZYceOHcKOHTsEAMLzzz8v7NixQ1qh6Y8yrKioEFJTU4VbbrlFKCgoEJYvXy5ER0e32u1O1Mq0oaFBmDhxotC+fXshPz9f0XfJV7g25zLlhp1O/vnPfwodO3YUIiIihMGDBwu//PJLqLPUbAFA/POf//xHkqmtrRXuvfdeITExUYiOjhauvvpqoaSkRPGcI0eOCJdddpkQFRUlJCcnCw8++KDQ2NgY5LdpvngadrxM9fPll18K2dnZgtVqFXr27Cm8/vrrit8dDocwb948ITU1VbBarcKoUaOE/fv3K2ROnTolTJo0SYiNjRXi4+OF22+/XThz5kwwX6NZUVVVJTzwwANCx44dhcjISKFLly7Co48+qugceblqs2HDBmI7OmXKFEEQ/FeGO3fuFC688ELBarUK7dq1E5YsWRKsVww6amVaVFRE7bs2bNggPaM5l6lJEGTbgHM4HA6Hw+FwWiw8xo7D4XA4HA6nlcANOw6Hw+FwOJxWAjfsOBwOh8PhcFoJ3LDjcDgcDofDaSVww47D4XA4HA6nlcANOw6Hw+FwOJxWAjfsOBwOh8PhcFoJ3LDjcDgcDofDaSVww47D4XA4HA6nlcANOw6Hw+FwOJxWAjfsOBwOh8PhcFoJ3LDjcDgcDofDaSX8PxvwHaLI97eVAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.tsa.seasonal_decompose(df.High, period=25).plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "053851f2",
   "metadata": {
    "papermill": {
     "duration": 0.02629,
     "end_time": "2024-01-29T06:07:37.386250",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.359960",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Seasonality feature engineering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "5a479873",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:37.510040Z",
     "iopub.status.busy": "2024-01-29T06:07:37.509614Z",
     "iopub.status.idle": "2024-01-29T06:07:37.520462Z",
     "shell.execute_reply": "2024-01-29T06:07:37.519236Z"
    },
    "papermill": {
     "duration": 0.035332,
     "end_time": "2024-01-29T06:07:37.523249",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.487917",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "df['High-1d'] = df.High.shift() #AR(1)\n",
    "df['High-1w'] = df.High.shift(5)\n",
    "df['High-1m'] = df.High.shift(25)\n",
    "df['High-1y'] = df.High.shift(252)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6b207f63",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:37.564893Z",
     "iopub.status.busy": "2024-01-29T06:07:37.564491Z",
     "iopub.status.idle": "2024-01-29T06:07:37.587062Z",
     "shell.execute_reply": "2024-01-29T06:07:37.585874Z"
    },
    "papermill": {
     "duration": 0.048112,
     "end_time": "2024-01-29T06:07:37.590396",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.542284",
     "status": "completed"
    },
    "tags": []
   },
   "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>Date</th>\n",
       "      <th>High</th>\n",
       "      <th>year</th>\n",
       "      <th>month</th>\n",
       "      <th>day_of_week</th>\n",
       "      <th>High-1d</th>\n",
       "      <th>High-1w</th>\n",
       "      <th>High-1m</th>\n",
       "      <th>High-1y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2019-01-02</td>\n",
       "      <td>1286.0</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2019-01-03</td>\n",
       "      <td>1292.0</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1286.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2019-01-04</td>\n",
       "      <td>1294.2</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1292.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2019-01-07</td>\n",
       "      <td>1286.8</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1294.2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2019-01-08</td>\n",
       "      <td>1283.2</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1286.8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2019-01-09</td>\n",
       "      <td>1289.3</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1283.2</td>\n",
       "      <td>1286.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2019-01-10</td>\n",
       "      <td>1284.7</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1289.3</td>\n",
       "      <td>1292.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2019-01-11</td>\n",
       "      <td>1291.2</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1284.7</td>\n",
       "      <td>1294.2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2019-01-14</td>\n",
       "      <td>1293.9</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1291.2</td>\n",
       "      <td>1286.8</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2019-01-15</td>\n",
       "      <td>1292.7</td>\n",
       "      <td>2019</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1293.9</td>\n",
       "      <td>1283.2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date    High  year  month  day_of_week  High-1d  High-1w  High-1m  \\\n",
       "0 2019-01-02  1286.0  2019      1            2      NaN      NaN      NaN   \n",
       "1 2019-01-03  1292.0  2019      1            3   1286.0      NaN      NaN   \n",
       "2 2019-01-04  1294.2  2019      1            4   1292.0      NaN      NaN   \n",
       "3 2019-01-07  1286.8  2019      1            0   1294.2      NaN      NaN   \n",
       "4 2019-01-08  1283.2  2019      1            1   1286.8      NaN      NaN   \n",
       "5 2019-01-09  1289.3  2019      1            2   1283.2   1286.0      NaN   \n",
       "6 2019-01-10  1284.7  2019      1            3   1289.3   1292.0      NaN   \n",
       "7 2019-01-11  1291.2  2019      1            4   1284.7   1294.2      NaN   \n",
       "8 2019-01-14  1293.9  2019      1            0   1291.2   1286.8      NaN   \n",
       "9 2019-01-15  1292.7  2019      1            1   1293.9   1283.2      NaN   \n",
       "\n",
       "   High-1y  \n",
       "0      NaN  \n",
       "1      NaN  \n",
       "2      NaN  \n",
       "3      NaN  \n",
       "4      NaN  \n",
       "5      NaN  \n",
       "6      NaN  \n",
       "7      NaN  \n",
       "8      NaN  \n",
       "9      NaN  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "51732144",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:37.636783Z",
     "iopub.status.busy": "2024-01-29T06:07:37.635481Z",
     "iopub.status.idle": "2024-01-29T06:07:37.643488Z",
     "shell.execute_reply": "2024-01-29T06:07:37.642320Z"
    },
    "papermill": {
     "duration": 0.035999,
     "end_time": "2024-01-29T06:07:37.646664",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.610665",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "#remove the 2019 data as a simple way of handling missing data\n",
    "df = df.loc[df.year>2019,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "f7a64815",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:37.692522Z",
     "iopub.status.busy": "2024-01-29T06:07:37.691592Z",
     "iopub.status.idle": "2024-01-29T06:07:37.714030Z",
     "shell.execute_reply": "2024-01-29T06:07:37.712208Z"
    },
    "papermill": {
     "duration": 0.049189,
     "end_time": "2024-01-29T06:07:37.717844",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.668655",
     "status": "completed"
    },
    "tags": []
   },
   "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>Date</th>\n",
       "      <th>High</th>\n",
       "      <th>year</th>\n",
       "      <th>month</th>\n",
       "      <th>day_of_week</th>\n",
       "      <th>High-1d</th>\n",
       "      <th>High-1w</th>\n",
       "      <th>High-1m</th>\n",
       "      <th>High-1y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>252</th>\n",
       "      <td>2020-01-02</td>\n",
       "      <td>1528.7</td>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1523.4</td>\n",
       "      <td>1499.1</td>\n",
       "      <td>1457.1</td>\n",
       "      <td>1286.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>253</th>\n",
       "      <td>2020-01-03</td>\n",
       "      <td>1552.7</td>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>1528.7</td>\n",
       "      <td>1512.3</td>\n",
       "      <td>1459.8</td>\n",
       "      <td>1292.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>254</th>\n",
       "      <td>2020-01-06</td>\n",
       "      <td>1580.0</td>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1552.7</td>\n",
       "      <td>1513.8</td>\n",
       "      <td>1461.9</td>\n",
       "      <td>1294.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>255</th>\n",
       "      <td>2020-01-07</td>\n",
       "      <td>1576.3</td>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1580.0</td>\n",
       "      <td>1515.1</td>\n",
       "      <td>1465.6</td>\n",
       "      <td>1286.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>256</th>\n",
       "      <td>2020-01-08</td>\n",
       "      <td>1604.2</td>\n",
       "      <td>2020</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1576.3</td>\n",
       "      <td>1523.4</td>\n",
       "      <td>1464.4</td>\n",
       "      <td>1283.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Date    High  year  month  day_of_week  High-1d  High-1w  High-1m  \\\n",
       "252 2020-01-02  1528.7  2020      1            3   1523.4   1499.1   1457.1   \n",
       "253 2020-01-03  1552.7  2020      1            4   1528.7   1512.3   1459.8   \n",
       "254 2020-01-06  1580.0  2020      1            0   1552.7   1513.8   1461.9   \n",
       "255 2020-01-07  1576.3  2020      1            1   1580.0   1515.1   1465.6   \n",
       "256 2020-01-08  1604.2  2020      1            2   1576.3   1523.4   1464.4   \n",
       "\n",
       "     High-1y  \n",
       "252   1286.0  \n",
       "253   1292.0  \n",
       "254   1294.2  \n",
       "255   1286.8  \n",
       "256   1283.2  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82e8ed1d",
   "metadata": {
    "papermill": {
     "duration": 0.020646,
     "end_time": "2024-01-29T06:07:37.759253",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.738607",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Split data\n",
    "Split the data so that the first 75% of the data is for training, while the last 12 data points for testing. The rest is for validation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "c778e882",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:37.800626Z",
     "iopub.status.busy": "2024-01-29T06:07:37.800178Z",
     "iopub.status.idle": "2024-01-29T06:07:37.811707Z",
     "shell.execute_reply": "2024-01-29T06:07:37.809668Z"
    },
    "papermill": {
     "duration": 0.035873,
     "end_time": "2024-01-29T06:07:37.815666",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.779793",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "total_rows = df.shape[0]\n",
    "train_X = df.iloc[:int(0.75*total_rows), 4:]\n",
    "train_y = df.iloc[:int(0.75*total_rows), 1]\n",
    "\n",
    "valid_X = df.iloc[int(0.75*total_rows):-12, 4:]\n",
    "valid_y = df.iloc[int(0.75*total_rows):-12, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "bda9ff4b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:37.861582Z",
     "iopub.status.busy": "2024-01-29T06:07:37.860369Z",
     "iopub.status.idle": "2024-01-29T06:07:37.866357Z",
     "shell.execute_reply": "2024-01-29T06:07:37.865111Z"
    },
    "papermill": {
     "duration": 0.032909,
     "end_time": "2024-01-29T06:07:37.869400",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.836491",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "#use this for confirming that we've split the data correctly\n",
    "# train_X.head(20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92505c59",
   "metadata": {
    "papermill": {
     "duration": 0.019486,
     "end_time": "2024-01-29T06:07:37.910018",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.890532",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Train NN models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "63e21ceb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:37.953982Z",
     "iopub.status.busy": "2024-01-29T06:07:37.953528Z",
     "iopub.status.idle": "2024-01-29T06:07:38.342354Z",
     "shell.execute_reply": "2024-01-29T06:07:38.340598Z"
    },
    "papermill": {
     "duration": 0.415455,
     "end_time": "2024-01-29T06:07:38.346233",
     "exception": false,
     "start_time": "2024-01-29T06:07:37.930778",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "tf.random.set_seed(10)\n",
    "\n",
    "tot_inputs = train_X.shape[1]\n",
    "inputs = tf.keras.Input(shape=(tot_inputs,), name='input_layer')\n",
    "x = tf.keras.layers.Dense(tot_inputs*2, activation='relu', name='hidden_layer')(inputs)\n",
    "outputs = tf.keras.layers.Dense(1, activation='relu', name='output_layer')(x)\n",
    "\n",
    "model = tf.keras.Model(inputs=inputs, outputs=outputs, name='fully-connected-mod')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "d7d093cb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:38.393731Z",
     "iopub.status.busy": "2024-01-29T06:07:38.392052Z",
     "iopub.status.idle": "2024-01-29T06:07:38.697923Z",
     "shell.execute_reply": "2024-01-29T06:07:38.696599Z"
    },
    "papermill": {
     "duration": 0.333259,
     "end_time": "2024-01-29T06:07:38.700945",
     "exception": false,
     "start_time": "2024-01-29T06:07:38.367686",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.keras.utils.plot_model(model, show_shapes=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "381607a0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:38.745838Z",
     "iopub.status.busy": "2024-01-29T06:07:38.745422Z",
     "iopub.status.idle": "2024-01-29T06:07:42.109729Z",
     "shell.execute_reply": "2024-01-29T06:07:42.108733Z"
    },
    "papermill": {
     "duration": 3.38992,
     "end_time": "2024-01-29T06:07:42.112988",
     "exception": false,
     "start_time": "2024-01-29T06:07:38.723068",
     "status": "completed"
    },
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/20\n",
      "6/6 [==============================] - 2s 74ms/step - loss: 1773.4652 - mean_squared_error: 3155995.7500 - mean_absolute_error: 1773.4652 - mean_squared_logarithmic_error: 33.0372 - val_loss: 1858.4877 - val_mean_squared_error: 3458164.0000 - val_mean_absolute_error: 1858.4877 - val_mean_squared_logarithmic_error: 9.3911\n",
      "Epoch 2/20\n",
      "6/6 [==============================] - 0s 14ms/step - loss: 1657.1389 - mean_squared_error: 2757523.0000 - mean_absolute_error: 1657.1389 - mean_squared_logarithmic_error: 6.9063 - val_loss: 1715.6379 - val_mean_squared_error: 2948289.7500 - val_mean_absolute_error: 1715.6379 - val_mean_squared_logarithmic_error: 4.4670\n",
      "Epoch 3/20\n",
      "6/6 [==============================] - 0s 14ms/step - loss: 1526.1276 - mean_squared_error: 2339339.7500 - mean_absolute_error: 1526.1276 - mean_squared_logarithmic_error: 3.6270 - val_loss: 1580.2161 - val_mean_squared_error: 2502231.2500 - val_mean_absolute_error: 1580.2161 - val_mean_squared_logarithmic_error: 2.7501\n",
      "Epoch 4/20\n",
      "6/6 [==============================] - 0s 14ms/step - loss: 1400.2371 - mean_squared_error: 1970225.8750 - mean_absolute_error: 1400.2371 - mean_squared_logarithmic_error: 2.2915 - val_loss: 1443.9159 - val_mean_squared_error: 2089822.2500 - val_mean_absolute_error: 1443.9159 - val_mean_squared_logarithmic_error: 1.8104\n",
      "Epoch 5/20\n",
      "6/6 [==============================] - 0s 14ms/step - loss: 1273.0754 - mean_squared_error: 1628958.8750 - mean_absolute_error: 1273.0754 - mean_squared_logarithmic_error: 1.5259 - val_loss: 1304.6155 - val_mean_squared_error: 1706684.8750 - val_mean_absolute_error: 1304.6155 - val_mean_squared_logarithmic_error: 1.2172\n",
      "Epoch 6/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 1143.4042 - mean_squared_error: 1315113.2500 - mean_absolute_error: 1143.4042 - mean_squared_logarithmic_error: 1.0267 - val_loss: 1161.9131 - val_mean_squared_error: 1354452.2500 - val_mean_absolute_error: 1161.9131 - val_mean_squared_logarithmic_error: 0.8177\n",
      "Epoch 7/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 1010.3881 - mean_squared_error: 1027867.5000 - mean_absolute_error: 1010.3881 - mean_squared_logarithmic_error: 0.6854 - val_loss: 1015.7607 - val_mean_squared_error: 1035944.3125 - val_mean_absolute_error: 1015.7607 - val_mean_squared_logarithmic_error: 0.5400\n",
      "Epoch 8/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 874.2282 - mean_squared_error: 770786.3750 - mean_absolute_error: 874.2282 - mean_squared_logarithmic_error: 0.4465 - val_loss: 865.8676 - val_mean_squared_error: 753683.3750 - val_mean_absolute_error: 865.8676 - val_mean_squared_logarithmic_error: 0.3441\n",
      "Epoch 9/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 734.3711 - mean_squared_error: 545201.1875 - mean_absolute_error: 734.3711 - mean_squared_logarithmic_error: 0.2784 - val_loss: 712.1108 - val_mean_squared_error: 510860.9688 - val_mean_absolute_error: 712.1108 - val_mean_squared_logarithmic_error: 0.2066\n",
      "Epoch 10/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 590.8821 - mean_squared_error: 355111.9688 - mean_absolute_error: 590.8821 - mean_squared_logarithmic_error: 0.1616 - val_loss: 554.2354 - val_mean_squared_error: 310759.8125 - val_mean_absolute_error: 554.2354 - val_mean_squared_logarithmic_error: 0.1123\n",
      "Epoch 11/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 443.6366 - mean_squared_error: 202542.7500 - mean_absolute_error: 443.6366 - mean_squared_logarithmic_error: 0.0827 - val_loss: 391.9796 - val_mean_squared_error: 157078.3906 - val_mean_absolute_error: 391.9796 - val_mean_squared_logarithmic_error: 0.0511\n",
      "Epoch 12/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 292.0826 - mean_squared_error: 91102.7656 - mean_absolute_error: 292.0826 - mean_squared_logarithmic_error: 0.0338 - val_loss: 225.2933 - val_mean_squared_error: 54060.4375 - val_mean_absolute_error: 225.2933 - val_mean_squared_logarithmic_error: 0.0159\n",
      "Epoch 13/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 137.5818 - mean_squared_error: 24392.5684 - mean_absolute_error: 137.5818 - mean_squared_logarithmic_error: 0.0083 - val_loss: 63.8290 - val_mean_squared_error: 6238.7598 - val_mean_absolute_error: 63.8290 - val_mean_squared_logarithmic_error: 0.0017\n",
      "Epoch 14/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 56.3723 - mean_squared_error: 5003.1748 - mean_absolute_error: 56.3723 - mean_squared_logarithmic_error: 0.0015 - val_loss: 71.4455 - val_mean_squared_error: 7411.8154 - val_mean_absolute_error: 71.4455 - val_mean_squared_logarithmic_error: 0.0019\n",
      "Epoch 15/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 85.4700 - mean_squared_error: 9932.8643 - mean_absolute_error: 85.4700 - mean_squared_logarithmic_error: 0.0029 - val_loss: 76.5057 - val_mean_squared_error: 8325.3164 - val_mean_absolute_error: 76.5057 - val_mean_squared_logarithmic_error: 0.0021\n",
      "Epoch 16/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 68.7143 - mean_squared_error: 6877.9082 - mean_absolute_error: 68.7143 - mean_squared_logarithmic_error: 0.0020 - val_loss: 48.8079 - val_mean_squared_error: 3290.9065 - val_mean_absolute_error: 48.8079 - val_mean_squared_logarithmic_error: 8.7168e-04\n",
      "Epoch 17/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 50.6600 - mean_squared_error: 4127.8647 - mean_absolute_error: 50.6600 - mean_squared_logarithmic_error: 0.0013 - val_loss: 55.0738 - val_mean_squared_error: 4706.1919 - val_mean_absolute_error: 55.0738 - val_mean_squared_logarithmic_error: 0.0013\n",
      "Epoch 18/20\n",
      "6/6 [==============================] - 0s 13ms/step - loss: 54.4567 - mean_squared_error: 4897.6182 - mean_absolute_error: 54.4567 - mean_squared_logarithmic_error: 0.0016 - val_loss: 54.5741 - val_mean_squared_error: 4617.3589 - val_mean_absolute_error: 54.5741 - val_mean_squared_logarithmic_error: 0.0012\n",
      "Epoch 19/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 50.6457 - mean_squared_error: 4205.9043 - mean_absolute_error: 50.6457 - mean_squared_logarithmic_error: 0.0013 - val_loss: 47.6161 - val_mean_squared_error: 3292.2366 - val_mean_absolute_error: 47.6161 - val_mean_squared_logarithmic_error: 8.7445e-04\n",
      "Epoch 20/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 49.1261 - mean_squared_error: 3824.9075 - mean_absolute_error: 49.1261 - mean_squared_logarithmic_error: 0.0012 - val_loss: 47.5192 - val_mean_squared_error: 3163.7786 - val_mean_absolute_error: 47.5192 - val_mean_squared_logarithmic_error: 8.3941e-04\n"
     ]
    }
   ],
   "source": [
    "tot_epochs = 20\n",
    "\n",
    "model = tf.keras.Model(inputs=inputs, outputs=outputs, name='fully-connected-mod')\n",
    "model.compile(optimizer='Adam', loss='mean_absolute_error', \n",
    "              metrics=['mean_squared_error', 'mean_absolute_error', \n",
    "                       'mean_squared_logarithmic_error'])\n",
    "\n",
    "history = model.fit(x=train_X, y=train_y, validation_data=(valid_X, valid_y), \n",
    "                    batch_size=128, epochs=tot_epochs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "cb89cbd5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:42.169663Z",
     "iopub.status.busy": "2024-01-29T06:07:42.169197Z",
     "iopub.status.idle": "2024-01-29T06:07:42.177903Z",
     "shell.execute_reply": "2024-01-29T06:07:42.176219Z"
    },
    "papermill": {
     "duration": 0.040563,
     "end_time": "2024-01-29T06:07:42.180857",
     "exception": false,
     "start_time": "2024-01-29T06:07:42.140294",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['loss', 'mean_squared_error', 'mean_absolute_error', 'mean_squared_logarithmic_error', 'val_loss', 'val_mean_squared_error', 'val_mean_absolute_error', 'val_mean_squared_logarithmic_error'])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "history.history.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "6159c5d9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:42.238727Z",
     "iopub.status.busy": "2024-01-29T06:07:42.238305Z",
     "iopub.status.idle": "2024-01-29T06:07:42.696337Z",
     "shell.execute_reply": "2024-01-29T06:07:42.695118Z"
    },
    "papermill": {
     "duration": 0.491205,
     "end_time": "2024-01-29T06:07:42.699227",
     "exception": false,
     "start_time": "2024-01-29T06:07:42.208022",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history.history['mean_squared_error'], label='train MSE')\n",
    "plt.plot(history.history['val_mean_squared_error'], label='valid MSE')\n",
    "plt.xticks(ticks=np.arange(tot_epochs), labels=np.arange(1, (tot_epochs+1)))\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "5f028428",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:42.761959Z",
     "iopub.status.busy": "2024-01-29T06:07:42.760429Z",
     "iopub.status.idle": "2024-01-29T06:07:43.207940Z",
     "shell.execute_reply": "2024-01-29T06:07:43.206696Z"
    },
    "papermill": {
     "duration": 0.482911,
     "end_time": "2024-01-29T06:07:43.211432",
     "exception": false,
     "start_time": "2024-01-29T06:07:42.728521",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history.history['mean_absolute_error'], label='train MAE')\n",
    "plt.plot(history.history['val_mean_absolute_error'], label='valid MAE')\n",
    "plt.xticks(ticks=np.arange(tot_epochs), labels=np.arange(1, (tot_epochs+1)))\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "ffe64120",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:43.269307Z",
     "iopub.status.busy": "2024-01-29T06:07:43.268839Z",
     "iopub.status.idle": "2024-01-29T06:07:43.701284Z",
     "shell.execute_reply": "2024-01-29T06:07:43.699983Z"
    },
    "papermill": {
     "duration": 0.466041,
     "end_time": "2024-01-29T06:07:43.704329",
     "exception": false,
     "start_time": "2024-01-29T06:07:43.238288",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history.history['mean_squared_logarithmic_error'], label='train MSLE')\n",
    "plt.plot(history.history['val_mean_squared_logarithmic_error'], label='valid MSLE')\n",
    "plt.xticks(ticks=np.arange(tot_epochs), labels=np.arange(1, (tot_epochs+1)))\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "807de16f",
   "metadata": {
    "papermill": {
     "duration": 0.030231,
     "end_time": "2024-01-29T06:07:43.764227",
     "exception": false,
     "start_time": "2024-01-29T06:07:43.733996",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Predict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "92576345",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:43.824669Z",
     "iopub.status.busy": "2024-01-29T06:07:43.824263Z",
     "iopub.status.idle": "2024-01-29T06:07:59.637951Z",
     "shell.execute_reply": "2024-01-29T06:07:59.636633Z"
    },
    "papermill": {
     "duration": 15.847071,
     "end_time": "2024-01-29T06:07:59.640931",
     "exception": false,
     "start_time": "2024-01-29T06:07:43.793860",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1/1 [==============================] - 0s 112ms/step\n",
      "1/1 [==============================] - 0s 66ms/step\n",
      "1/1 [==============================] - 0s 69ms/step\n",
      "1/1 [==============================] - 0s 75ms/step\n",
      "1/1 [==============================] - 0s 64ms/step\n",
      "1/1 [==============================] - 0s 65ms/step\n",
      "1/1 [==============================] - 0s 68ms/step\n",
      "1/1 [==============================] - 0s 69ms/step\n",
      "1/1 [==============================] - 0s 68ms/step\n",
      "1/1 [==============================] - 0s 62ms/step\n"
     ]
    }
   ],
   "source": [
    "#retrain on all data\n",
    "pred_dict = {}\n",
    "for i in range(10):\n",
    "    model = tf.keras.Model(inputs=inputs, outputs=outputs, name='fully-connected-mod')\n",
    "    model.compile(optimizer='Adam', loss='mean_absolute_error', \n",
    "                  metrics=['mean_squared_error', 'mean_absolute_error', \n",
    "                           'mean_squared_logarithmic_error'])\n",
    "    model.fit(x=df.iloc[:-12, 4:], y=df.iloc[:-12, 1], batch_size=128, epochs=20, verbose=0)\n",
    "    prediction = model.predict(df.iloc[-12:, 4:])\n",
    "    pred_dict[f'pred_{i}'] = prediction[:, 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "2566f31e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T06:07:59.705864Z",
     "iopub.status.busy": "2024-01-29T06:07:59.705417Z",
     "iopub.status.idle": "2024-01-29T06:08:00.349605Z",
     "shell.execute_reply": "2024-01-29T06:08:00.348230Z"
    },
    "papermill": {
     "duration": 0.678862,
     "end_time": "2024-01-29T06:08:00.352595",
     "exception": false,
     "start_time": "2024-01-29T06:07:59.673733",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "days_to_pred = pd.date_range(start='2024-01-02', end='2024-01-17', freq='B')\n",
    "days_to_pred = [i.date() for i in days_to_pred]\n",
    "\n",
    "for i in range(10):\n",
    "    plt.plot(pred_dict[f'pred_{i}'], color='purple', alpha=(i+1)/10)\n",
    "    plt.scatter(np.arange(12), pred_dict[f'pred_{i}'], color='purple', alpha=(i+1)/10)\n",
    "    \n",
    "plt.plot(np.arange(12), df.High[-12:], label='true data', color='black')\n",
    "plt.scatter(np.arange(12), df.High[-12:], color='black')\n",
    "plt.xticks(ticks=np.arange(12), labels=days_to_pred, rotation=90)\n",
    "plt.legend();"
   ]
  }
 ],
 "metadata": {
  "kaggle": {
   "accelerator": "none",
   "dataSources": [
    {
     "datasetId": 4300002,
     "sourceId": 7429558,
     "sourceType": "datasetVersion"
    }
   ],
   "dockerImageVersionId": 30635,
   "isGpuEnabled": false,
   "isInternetEnabled": true,
   "language": "python",
   "sourceType": "notebook"
  },
  "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",
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