forecasting-gold-with-neural-network.ipynb

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   "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 holidays\n",
    "import datetime\n",
    "import tensorflow as tf"
   ]
  },
  {
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   "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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   "execution_count": 2,
   "id": "da2761c4",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <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",
       "    </tr>\n",
       "  </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",
       "    </tr>\n",
       "    <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",
       "</table>\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": {},
     "output_type": "execute_result"
    }
   ],
   "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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   "execution_count": 4,
   "id": "f39ed19e",
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     "data": {
      "text/plain": [
       "Date            object\n",
       "Open           float64\n",
       "High           float64\n",
       "Low            float64\n",
       "Close*         float64\n",
       "Adj Close**    float64\n",
       "Volume          object\n",
       "dtype: object"
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    "df.dtypes"
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date    datetime64[ns]\n",
       "High           float64\n",
       "dtype: object"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "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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   "execution_count": 6,
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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>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",
       "  </tbody>\n",
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      "text/plain": [
       "        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",
       "</table>\n",
       "</div>"
      ],
      "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": "7f064898",
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     "start_time": "2024-01-29T05:54:08.179376",
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    },
    "tags": []
   },
   "source": [
    "# Feature engineering part 1\n",
    "Extract features from the series based on the time index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "91c8405f",
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     "status": "completed"
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   "outputs": [],
   "source": [
    "from datetime import timedelta\n",
    "\n",
    "#create a dictionary of a holiday calendar for NYSE\n",
    "nyse_holidays = holidays.NYSE(years=[2019, 2020, 2021, 2022, 2023, 2024])\n",
    "\n",
    "#make a list of 'important' days\n",
    "days_important = [] #this would be a list\n",
    "for d in list(nyse_holidays.keys()):\n",
    "    days_important.append(d - timedelta(days=3))\n",
    "    days_important.append(d - timedelta(days=2))\n",
    "    days_important.append(d - timedelta(days=1))\n",
    "    days_important.append(d - timedelta(days=0))\n",
    "    days_important.append(d + timedelta(days=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
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     "data": {
      "text/plain": [
       "{datetime.date(2019, 1, 1): \"New Year's Day\", datetime.date(2019, 1, 21): 'Martin Luther King Jr. Day', datetime.date(2019, 2, 18): \"Washington's Birthday\", datetime.date(2019, 4, 19): 'Good Friday', datetime.date(2019, 5, 27): 'Memorial Day', datetime.date(2019, 7, 4): 'Independence Day', datetime.date(2019, 9, 2): 'Labor Day', datetime.date(2019, 11, 28): 'Thanksgiving Day', datetime.date(2019, 12, 25): 'Christmas Day', datetime.date(2020, 1, 1): \"New Year's Day\", datetime.date(2020, 1, 20): 'Martin Luther King Jr. Day', datetime.date(2020, 2, 17): \"Washington's Birthday\", datetime.date(2020, 4, 10): 'Good Friday', datetime.date(2020, 5, 25): 'Memorial Day', datetime.date(2020, 7, 3): 'Independence Day (Observed)', datetime.date(2020, 9, 7): 'Labor Day', datetime.date(2020, 11, 26): 'Thanksgiving Day', datetime.date(2020, 12, 25): 'Christmas Day', datetime.date(2021, 1, 1): \"New Year's Day\", datetime.date(2021, 12, 31): \"New Year's Day (Observed)\", datetime.date(2021, 1, 18): 'Martin Luther King Jr. Day', datetime.date(2021, 2, 15): \"Washington's Birthday\", datetime.date(2021, 4, 2): 'Good Friday', datetime.date(2021, 5, 31): 'Memorial Day', datetime.date(2021, 6, 18): 'Juneteenth National Independence Day (Observed)', datetime.date(2021, 7, 5): 'Independence Day (Observed)', datetime.date(2021, 9, 6): 'Labor Day', datetime.date(2021, 11, 25): 'Thanksgiving Day', datetime.date(2021, 12, 24): 'Christmas Day (Observed)', datetime.date(2022, 1, 17): 'Martin Luther King Jr. Day', datetime.date(2022, 2, 21): \"Washington's Birthday\", datetime.date(2022, 4, 15): 'Good Friday', datetime.date(2022, 5, 30): 'Memorial Day', datetime.date(2022, 6, 20): 'Juneteenth National Independence Day (Observed)', datetime.date(2022, 7, 4): 'Independence Day', datetime.date(2022, 9, 5): 'Labor Day', datetime.date(2022, 11, 24): 'Thanksgiving Day', datetime.date(2022, 12, 26): 'Christmas Day (Observed)', datetime.date(2023, 1, 2): \"New Year's Day (Observed)\", datetime.date(2023, 1, 16): 'Martin Luther King Jr. Day', datetime.date(2023, 2, 20): \"Washington's Birthday\", datetime.date(2023, 4, 7): 'Good Friday', datetime.date(2023, 5, 29): 'Memorial Day', datetime.date(2023, 6, 19): 'Juneteenth National Independence Day', datetime.date(2023, 7, 4): 'Independence Day', datetime.date(2023, 9, 4): 'Labor Day', datetime.date(2023, 11, 23): 'Thanksgiving Day', datetime.date(2023, 12, 25): 'Christmas Day', datetime.date(2024, 1, 1): \"New Year's Day\", datetime.date(2024, 1, 15): 'Martin Luther King Jr. Day', datetime.date(2024, 2, 19): \"Washington's Birthday\", datetime.date(2024, 3, 29): 'Good Friday', datetime.date(2024, 5, 27): 'Memorial Day', datetime.date(2024, 6, 19): 'Juneteenth National Independence Day', datetime.date(2024, 7, 4): 'Independence Day', datetime.date(2024, 9, 2): 'Labor Day', datetime.date(2024, 11, 28): 'Thanksgiving Day', datetime.date(2024, 12, 25): 'Christmas Day'}"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nyse_holidays"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "20ea1198",
   "metadata": {
    "execution": {
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     "start_time": "2024-01-29T05:54:08.341994",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "<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",
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       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
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       "Empty DataFrame\n",
       "Columns: [Date, High]\n",
       "Index: []"
      ]
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     "execution_count": 10,
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   ],
   "source": [
    "df.loc[df.Date=='2019-01-21', :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "77c18c8e",
   "metadata": {
    "execution": {
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     "status": "completed"
    },
    "tags": []
   },
   "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\n",
    "df['days_important'] = df.Date.isin(days_important).astype('int8')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9801a861",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:08.463620Z",
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     "exception": false,
     "start_time": "2024-01-29T05:54:08.443641",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "df.drop(columns=['days_important'], inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "25eb6db0",
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     "status": "completed"
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   "outputs": [
    {
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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": 13,
     "metadata": {},
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    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b121a687",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:08.562048Z",
     "iopub.status.busy": "2024-01-29T05:54:08.561573Z",
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     "shell.execute_reply": "2024-01-29T05:54:08.570953Z"
    },
    "papermill": {
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     "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": "3a303499",
   "metadata": {
    "papermill": {
     "duration": 0.016537,
     "end_time": "2024-01-29T05:54:08.680799",
     "exception": false,
     "start_time": "2024-01-29T05:54:08.664262",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Visualization (EDA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4559d263",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:08.718416Z",
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     "shell.execute_reply": "2024-01-29T05:54:09.212125Z"
    },
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     "duration": 0.520265,
     "end_time": "2024-01-29T05:54:09.217791",
     "exception": false,
     "start_time": "2024-01-29T05:54:08.697526",
     "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": 16,
   "id": "d7bbc7e6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:09.255021Z",
     "iopub.status.busy": "2024-01-29T05:54:09.254490Z",
     "iopub.status.idle": "2024-01-29T05:54:09.668195Z",
     "shell.execute_reply": "2024-01-29T05:54:09.666605Z"
    },
    "papermill": {
     "duration": 0.434915,
     "end_time": "2024-01-29T05:54:09.671449",
     "exception": false,
     "start_time": "2024-01-29T05:54:09.236534",
     "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": 17,
   "id": "3a5dac09",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:09.709076Z",
     "iopub.status.busy": "2024-01-29T05:54:09.708163Z",
     "iopub.status.idle": "2024-01-29T05:54:10.508902Z",
     "shell.execute_reply": "2024-01-29T05:54:10.507543Z"
    },
    "papermill": {
     "duration": 0.823528,
     "end_time": "2024-01-29T05:54:10.512400",
     "exception": false,
     "start_time": "2024-01-29T05:54:09.688872",
     "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": 18,
   "id": "483268b1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:10.551204Z",
     "iopub.status.busy": "2024-01-29T05:54:10.550623Z",
     "iopub.status.idle": "2024-01-29T05:54:10.965566Z",
     "shell.execute_reply": "2024-01-29T05:54:10.964482Z"
    },
    "papermill": {
     "duration": 0.438978,
     "end_time": "2024-01-29T05:54:10.968801",
     "exception": false,
     "start_time": "2024-01-29T05:54:10.529823",
     "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": [
    "plot_acf(df.High);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2e34a32f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:11.014407Z",
     "iopub.status.busy": "2024-01-29T05:54:11.013556Z",
     "iopub.status.idle": "2024-01-29T05:54:11.446403Z",
     "shell.execute_reply": "2024-01-29T05:54:11.444464Z"
    },
    "papermill": {
     "duration": 0.458332,
     "end_time": "2024-01-29T05:54:11.449543",
     "exception": false,
     "start_time": "2024-01-29T05:54:10.991211",
     "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": [
    "plot_pacf(df.High)\n",
    "plt.grid(axis='x');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "98ffcf7e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:11.493769Z",
     "iopub.status.busy": "2024-01-29T05:54:11.493209Z",
     "iopub.status.idle": "2024-01-29T05:54:12.764097Z",
     "shell.execute_reply": "2024-01-29T05:54:12.762899Z"
    },
    "papermill": {
     "duration": 1.295396,
     "end_time": "2024-01-29T05:54:12.766926",
     "exception": false,
     "start_time": "2024-01-29T05:54:11.471530",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8/PywbNkyrFq1Crt378aJEyewZMkSjB8/HuPGjQMAzJ49G0lJSfjPf/6D06dP459//sHTTz+N5cuXc61u9913H7KysvD4448jLS0NH3zwAX744QesXLnSbd+dEGcymhi8ts18YLtuRBRkUjE8ZRKr7fRG80lwTNPECkvv787E7vQym8+15O9zzWP1Smo1rWzZss/2ZyGvqgEMA5zMq2nXe5DugZ+EmE2DERfkhegA88n9nV0ZePmv5guMmz85jEmv7sajP5pXUxnbOwjDY/0BAFtOFeKAgydk0sxgNOGz/Vn4MjkHf501j0k/llNl12sZhuFmMX+1bAxGxPpjaIw/dj461eFyLBwSgZhATwyK8uUem9Y/BA/O6IM/VkzCkolx3OPHc6sF4zIZhsGfvPHCD83sizvH9xK8/8d7s/D+7gybn/3aP+mY/Npu3PbZEaTk13CPbziQjXEv72zxQjOzTA0TA4Qo5bhpdCx85OYOUB+5FAefmIGYwOZgddUV/dr+EZzIrV2xH374IQBg2rRpgsc3btyIxYsXAwDWr18PsViMRYsWQavVYs6cOfjggw+4bSUSCbZu3Yr7778f48ePh7e3N+688048//zz3Dbx8fH4888/sXLlSrz99tuIjo7GZ599hjlz5rj8OxLSGXamluJsYS2UCilWzOgLwDwr1kcuhVprwLXDo/DLqUJu+6uHR+Io7wA+uW8w9l8ynyAPZ1Ziev9Q7rmyOg3+OlOMeYMjEOarQEaZGl4yCXeVfbG0eTZbg659i1YfzGjuHm5pVh3pGWx13w2M9LO73qf0DUGEvwLfHTW3Dp/MrcHkviFOLePl4Idj+Xj85zNWj5fV2ZdypqpeB63BBACI8PN0aNamJX8vGfY/PgONOiPGvrwDjXojVs8bgP5NLbODo/3w3MKBmPLabuRVNWDomn/x4W0jsO18CX5LKeLe59yaOfCRS2EyMUjJr0F1gx55TX9Xr/+TDrlUjKUT4yFu6iauUGvxKW9VjE/3Z+GqoZEI8JLh+a3myWavbkvHp3eMEpRXozdyFxrxNsaDesok+GrpWDzwzUksntj+4Snt5dbAzp4mdIVCgffffx/vv/9+i9v06tULf/31V6vvM23aNJw6darVbQjprtjcUVckhXGTJrzlUpxb03zx4iWT4JsjeQj2kePa4VE4V6hCYU0jHp7ZByN7BWLjwWys+eMCdyBkGAb7L1Xgoe9PoaZBj//9cQHf3T0OizceBQNgy/0TMCjKD0W8xKJ1Guv1Du3BXxg7s7zrpz0oq9Ogok6HpEjftjcmApYD7h+a2RcTEoKQYWOyj6WBkb4YnxAEiViER2b1xVs7LmHfpXKE+sqxaEQ0ZNIuk+ihyzKZGPzvj/P4MjnX5vP2Jgr+oun1EX4Km70D7eEpk+DPhyZDIhbZ7J7tF+bDHZ/u/0bYJTs81p9rNROLRfhtxSQwDIP1Oy7hnZ2XAAAv/pmKAC8ZFo2Mxqm8atz71QnBWOQ/zxTjzzPCbAHbL5TiQpFKsK//dKIAGU3H3Pgg2xN94oK98dfDkx39CZyiS0yeIIR0DBtcRbcyVuWZBUkI8pFjdlIYvGRSq4kS7BinvKoG6AwmPPz9Kfx9rkSwzS2fHuZuL3j3AP5dOQW/n26+YlY5ENj9llKIQG8ZJvUJFnThHsup7tKzHRt1Rlz17kGUqDRYOjEe/zenP2RSsWCwOGnZ/34/z92ekBDEdVP1CfXBkGg/nCmwzmW39/+moUKtxYAIX+53ntIvBG/tuIQTudU4kVuNlLwaPDq7H0J9FVavJ81O5FULgro7xveCWCTCqfwanM6vQVFNY5v737nCWi5YenhmX6eWr7UZrIsnxGNHqu2hIi9faz3xSyQSYdUV/fDQjD5YsukY9l+qwEt/pSIm0AuP/Xiaa5184eqB+PdCKddrYemtHRfxCa/Vjn/xec3wKLu+V2eiwI6QHoC9yo5oJbBTeEhaHesR23RAzatswJfJOVZBnS2z1+8T3K/TGFrYUmjDgWyuq+OhGX3QqG/uwi2v06K4VmP3gOrOdKm0DnduOMq1MG44mI0NB80JV59dkISlk+Jbe/ll74fj+chsWlYpzFeOTUvGcM+JRCJsvmc8jAyDnIp6+Ht54D+fH4WPXIrYQC/0smgZGRrtj2AfOTfOa/PxfPx2uhD/PjK1xWSvBDiV15ye4+phkXi+aVC/Rm9E4jPb0KAzoqZBz6UjsYU/G3RBUy62zjCpbzC2PjgJey+WCyZL3DulNwZEtNx6LpWI8eHtI3HLJ4dxtrAWN37cvDjBe7cOx5WDI3DLmFikl9bhq+RcfH8sH7eMicHSifG4Yv0+7EgtRU2DDv5e5t9E03S8umpoJMYnBLno27YftVsT0s1VqLU4nGUeo9arAyc0Nk9UndaAF/9MtXr+zvG9IBGLcOf4Xrh9XKzN9zhfpMKEtTvxv9/PtzjUwmA0cUEdYB4sD5i72cJ8zd1xlequtRi8ycTg+6N5uGL9PhTVaqCUW18TWy7wTaz9dKJ5xuW+x6dbdZ16yiTwkUsxKMoP0QFe2L5yCn55YILN1iOJWIQV0xMEj2n0JnxBK6y06lTT5KSlE+Px2vVDuMcVHhIE+5gDl/d2ZwjWerVUXGu+kLxvagLX/dlZBkX54YFpCdj64CQc/e9M/PXQZDw6u3+br/ORS7H53nGY1CeYe2xItB8WDImESCSCVCLGwEg/vHztYPx8/wQ8syAJfcOUiPRTwMSAuyABgLKmST/jene9oA6gwI6Qbi85sxIavQkJId4YG9/+A43CQ8IFVgAQ7CPHR7ePBABcOSQC/7tqIE4/Nxtrrh6ExRPiuO38PD2w5YHmdQ+LajXYdCgHH+3NEgR3PxzLx2f7s5BfbXsMz6or+iHQuymwqxeeVH44no83/02H1tC+yRkd9fe5Ejy55Sx3f/O947HnsWlYMjEOU/uZB+6z60B2RwajyeWf8ffZYhzNNk/Y+eausZBL2x6XJZWIIZW0fJq6fVwvzLVI7ppTYXupMYZhcK6wFmqtARsOZOPzA9md8r27kpWbU7iW+DkDw6zqgE1T8vmBbKz9y/rijlVcY26x5s/87EwikQiDovwQqlQgKdLX7rGVXjIpPrx9BIbH+mNwlJ/N7luxWISRvQLgJTMHrCFNXftLNx2D0cTAYDQhvdQ8UzbUjnGh7kBdsYR0c+eKzGOSxvUO6vA4rz6hPlwKijHxAZg7KBwpz14BP08PiEQi7uo8JtALSrkUdVoDnluYhOEx/rhqaKRgvN2r29KQGKHE9P6hOFdYy83Ay61sDoAkYhGMJgZJEb6Y3DeE69bMKFPjcFYVPtqbiWAfGZcvS2sw4an5Azr0HR2lNRjxGi+/3+ykMG4g9XMLB6K4thHj1+5CbmUDDmVWYEJCcEtv1aX8eqoQH+3NRFqJ+ST1ywMTuGTAzlap1goGuw+N8XfK+0olYnz0n5GIe/JP7rHU4ua1vdNKVHjut/MYGx+Ify+UIq2kDhF+ChQ3jel0Rdb/rupcYS03M16pkGJItL/VNlP7h+J00xjHLacKsXxGHySEWC8+X9T0+0W6IOmvqykVHvjFgRm80f6eOJ1fg9pGPf4+V4xLpWoUVDdCKZdyaXe6GmqxI6SbY5NkDoz06/B73TOluWuLDVD8vWRWXWFyqQSb7x2P35ZPxHUjoiESifD2zcOw57FpXIZ5ADiRYx7Pw88zxSalvWpoJM7+bzZSn5+Lvx6eDJlUDFNTA8qLf6Zyy6NV8Lplvzuah3qtAVvPFKFBZ994vo46kVPNBaOvLRqCd24ZLng+TKmAv5c5GfTTv5zrlDI5w/NbL3BBHQAs/8Y68Wt77LtYjm3nhDML+al2Fo2Idnr3Hb8FuahWg/d3Z8BoYrBs03Ecya7CO7syuO9azJuo8+KfqYLu4Z6qUq3lVvsIVcqx69FpNmeyPjKzL9bfNJS7f/Mnh2HizRp9b9clLP/mJBc8R/j3/Ikq909rPibuTivH202TRm4dF4ugTk5jYi8K7AjpxtjuJQCC5J7tNaVvMGYkhiLST4ErB0e0um1SpK+g5UUkEiEu2Buj4gJx5RDza0tUGugMJvxz3noixtXDIuElkwpOMG2lTajTGLDg3QNY8e0pPOCkQKQlJ3KrsODd/Vj5QwoAYO7AcNw4OgYKD2EZxWIRF8xmVdSjXts5AWdHVNfrUGWRT66oVoNk3nJzjjqZV43/fH4Ed2w4ivu+PilIm8Emfv2/Of3x5o1DW3iH9ntuYRIOPDGdu//6P+n4KjmnzdQdeVUNeOzH03j8p9PQGXput+y+S82THV6+drDNdaQB89/ytcOj8cFtIwCYJzLNe3s/TuVVY/uFUrzx70XBRZorlunqagZF+eGVpgwCW041XwQs68ITpSiwI6QbK6rVoLpBD6lY5JQ1VkUiET6/cxQOrZ7Z6qy4tsxOCgNg7v7ZeqYIWeX18PSQwEPS3PI3qa91l+Xjc/tjIC9fVL8wHySGKyEVi9C7KRFodtMYqj3p5YIces72wtZUnCtUcV3Tg6NbbhHtE6pEQFOrHb+rme9QZgWWbjqGX5pODgajCS9uvYCX/0rFm/+mc7M7bTGZGKzechZr/mh5Uooj2NarcF8FvrlrLLcSyZaT9rVeVai1+PZIHjfAPq+yAa/8lSZIF5HSNEg/v6oBu5smlriq60okEiE6wAv9efvA//64YLXd5L7BGGKjHn84XoB+T/9t8wKku9PojThwyRywj+sdiFlN+2Zr5g+OwLT+5rGj6aV1uPerE4LF7AFA4SGGr+LyGM3Fdluzu96sAaFW69V2JZdHrRDSg1wqrcO/F0px65hYnG9qresT6mPVktRezsgfN753EGRSMdJK6rDqB3OG9nun9sbCoZG4/sNDuHJIhM3B84nhvvjzocncmKmbR8filjGxqG7QIb2kDks2HRNs//HeTJeswcgwDDLLhImSJ9sIRPl6BXmjuqEGuZX1gmSmZXUaHLhUgWd+PYd6nRG70spwsVSNMXGB+OxANrfdsZwqfH+P9frVey+W46vkHC5/15S+IZieGGq1nSM+bOrmHhjpi4l9glGq0uBoThWKatsOlI/nVOGWTw9Db2Tw1C9nMSEhCIdstPSdL6rF/MHheHLLGdTrjBgTF4hxHZjcY493bx1ulYLnkVl9cc+U3txgeAD4ZF+mYNky1r1fncCex6YhzsZqAt3FD8fyERPohXOFtfj5ZIGgu/2+qQmtvFLoxWsG4acTBXhrxyWbq1GYGOccK7qDARFKxAZ6ccmRk1pJrdIVUGBHSDei0Rtx7QeHoNYaBHmcBkV1fHydM4X6KjAsxp+bBQkA1w6PQq8gb5x85oo2Twjf3j0WJ3Kqccf4XpBKxPCUeSLIp7kFkc1f9v2xfGgNJvjIpXhiXiI8WplB6YiyOi3qmrpUZVIxpvQNwaA2xjDGBXkhJb8GubylsQprGjHxlV1W2364JxPSGcLf4HBWFUwmhlvuSK01YMeFUjyyOUWw3YncaigVUiRF+gqClZaYTAy+SM4xp6JJCMKwGH/su1gOiViE1U0TUcKaZv4V12qw5WQBhscGCJZK+u5oHr5MzkWEn8IqrQs/qPP38sD9UxOw9u80HMysxB+v70Z+VSMUHmK8dv0Q7ru5Sr8wJX5dPhHXvH+Qe2zJhHir3+nqYVH4+nAerh8ZjZtGx2Da63u4XIpv7biIt24WjqO0hWEYFNY0Isrf0+0BTma5Gidzq5EQ6mNzmTDAPGFidAtrRNsSHeCFR2b1Q4CXDM81JZW+b2oCN/Y1pIuOL3MFkUiED28fgRe2XgDDoMvnq6TAjpBuIr2kDo/9eBpqG2O4bhgZ7YYStS4+yFsQ2LEJZu05CU5ICLaaXSqXSnDb2FhsPVOMb+8ei9nr90FrMOH7Y+Y1Qxv1RrxkI32BPeq1BpwvUiEuyAuhvgpu9YP4YG/sfmyaXe/Bfr+LJXVo1BnhKZPgvV2XWtz+3V3Wi5KnFNRgaLQ/sivqce9XxwW5s1jv7c7Ae7szkBiuxB8PTrIZzBqMJry5/SIkIhECvZvXvfzpRAHXHT42PhB9Qs0zHtk0N1nl9Vj1w2kMi/HHr8vNMwcZxtwNDAhnnFp64ZpBGBzlx60icpq3oPqTcxM7rRVsaLQfpvYLwd6L5XjrpmHwa+oi5wvzVWDf481j8lJfmIu/zxbj/m9O4teUItw0OrbVxLMmE4MP9mTgjX8vAgA+v3MUZg5ou4vTFb45kov/2jFpZ/W8AfBux6QV/pCJ/4zvBZlEhA/2ZOLtm4c5/F7d2cBIP5st6l0RBXaEdHEavRH5VQ2Y85awi+m64VEYHR+IhBAfjIm3/0q8s6y8oh82H8936nu+eM0gLngL8pahkjcB4M+zxe0K7PZeLMedG45y92VSMTeQPs6BhM9scugtpwqx5VQhnluYhOM5zVn+rxwcgRevGYRjOVV44uczqG4wL7/27i3D8eupQuxMK0NKXg0+3puJf86XCt773qm9MSTKH8u/bZ4wklZSh28O52Jin2D0tRhf+cPxAny4J9NmOfVG80Ahfs7DMItluFLya3DbZ4dRVKOB1KKVLT7YGxF+Ctw0OgYPf58CABgW44//jOsFADgvES4J9syCJNzJm7XqaiKRCBsXj4ZI5FhXIX/s2dnCmhYDu88PZOOFrcLxe8/9ft5tgd2OC6VtbrN4QhxuGRPTrvdPCPHBR7ePRKC3DFH+nlh5RT/cP62P09aHJc5HgR0hTsIwDP46W4LBUX5OW9LIaGJw66eHcbJpIDpr64OTulz3q6VwPwVmDQjFjtQyLBrhnBZF/ol6aIy/oFuwpkGP2ga9zRaalmj0RkFQB0AwO7J/uP1jaUbHBcJDIuICpzVNg/fFIuDIU7O4mYizB4Zjav8Q5FU2oESlwYSEYJxsWubpt9NFgpYuwJwxf/6gCKvgCzBPEJBJxdj16FRu5RD+cm18SyfGc3kCzd+tORhUKjywfHoCPtufDW3T9z+YYT1u7om5ibh7cjykEjHqtQaE+crh7ykTzHTtH6bE5L7BMDEMnls40CmTehzVni5fD4kYD0xLwAd7MlHQQhLtMwU1VkEdABRUN6K8TtvibFNnKavT4NW/06HRG7HupqGQSyU2J+uE+cqh0Zvw9bKxrU76sdfcQc25/kQiEQV1XRwFdoQ4yU8nCvB/P51BmK8cR56a1eJ2DMPgxo+TUacx4LcVE1vNwP/tkVyroO7FawZ1+aCO9fr1Q/H3uRIsGNp66pT2ePGaQVi//SIm9Q3GS3+moqxOi5zKegz18rf7PbacLGz1eUdaOWICvfDOzcPxW0oRtvFmV/5nXC+rE75cKkHfMCXX0sYGbWxQN29QOOYOCsf4hCCE+Mi5gPbcmjnIqajH4axKbtk3ncGE3enliPRT4LVt6VxWfL5lk+Lx9JUDcP3IaMx/Zz8AICFE2DX6f3MS8cisfjiYUYG7vzzOBagyiRg6owkvXzsYt45tXkrOWy7FgSdmQAQIVoeQSsT4atlYu3+3roRdgD6/yvbM5q+ScwX3j/13Fu7YcBSpxSpsPJiNe6ckoFyt5bq4nUlvNOE/nx3l6jch1AcPzegjCEKn9w/BhsWjwTCAzmhy2oQq0r1QYEeIk7BBQqlKC53B1OIyNxeKVTjW1EX34/EC3N7UhWULO34MAJRyKU48c4Xdy+d0BQHeMkEw4EyR/p54/QZzS9H3R/NRVqdFWolKkFuvqKYRjXqjVfb8z/Zn4eeThWhsSnI8rX8I3rhhKI5mV+GBb05iUp9gfHbnKIdPjPMGR2De4AjojSY8+fNZnC6owfLpfdp8XbhFa9zcQeG4eliU1XbsOqoqjV7w+DO/2h5j5S2TYM6gcDyzIAkAkBDqDX8vD4jQPCaQz0MixrT+oUh/YR7X6mUyMbhUpka/MOtgxVmTVboKtjv9eG41GIYRtBBnlavxIy+Z8c5HpyJEKccjs/ri3q9O4KO9mfjsQDb0RhM+u8P5Y+72XyoXBO3v7LyEd5qS5QZ5y7DtkSkI8DKvECMSAQoxBXWXKwrsCHGS0rrmjPYrN6fAQyJCoLccT81PFLRobD3TnODz6V/PYUi0H9b+lQaNwYj3bx2B9NI6/Hu+FJP7BuN806oSD87og5tGx3SroK4zDYv1R3JWJU7kVuOm0eZAMq+yATPX7YHeyGDD4lGYkWg+0Z7Or+Fau1iPzOqHYB855g+OQM4rV3a4PB4SsUOJeMP9hIFdW6uIjIkLxO3jYrE7rdwqCS+7ZNYtY2Kw9rohgufkUgl2PToNIqDVvyV+V6ZYLBJ02/Zk7O9epzHgmd/O4cVrmsdsst3+U/qF4MulY7jHZyeFYWZiKHamlXHd+M9vvYAZiaFOnS27J92cZJj9LL5FI6Nd3g1Mug8K7AhxgtoGPZc4FxAuoTUmPhBzB4XDZGJwvkiFny2WMLrqvebUDB/tzcQ3R/JgNDH47mgeAGBwlB8end3fxd+gexsbH4gP92Tih+MFeGBaHzy/9YJg/N3STccxsU8Q7prUG0/9clbwWh+5FAMi3Bu4DOZ1rfvIpW125UklYrx4zWAYTQz6P/03DE3LPn25dAym9AtBnUbfYiqUwA4knu7p/Dw94COXQq014OvDeYjy98Jdk+Px0Hen8Pc5c/f6EIthECKRCHdN7i0ItnIrG/Dd0XzcOjYWlWotpBIx/Dytx35WqrWQisV2jQtNKza31i0cGomYQC9sOpTDPTexT/dYn5h0DgrsCOkghmFw0yfJaGlBgKd/PYeEEG98tj+bmyUqEZtXeFi8UZhw90uLMTwAcIUdmeIvdxMSgrkT8n1fnxAkZWUdzKgUTAiY0i8EAV4eeGr+gFbHOXYGb7kUcwaGYXd6OX55YILdr5OIRbj44jx8fiAbAd4yTOlnXi1AqbB/AgkR2vXYVIx5aScAYN32dCRF+nJBHQDEBFovozU2PhDLpycgyFuOS2Xqprx/OQjw8sDjP5+Br8IDfz08WRDc5Vc1YNa6vQCAd24ZjjkDw63ely+z3Jwwu0+oD65ICkOIUo6C6kb0CvLClDaSZ5PLi4hxxvo0PZxKpYKfnx9qa2vh69u1M06TzldSq8G4teYTQZC3DDqDiUtu25JBUb7Y+uBk9Hv6b5trVIb7KtAvXIm+oT74vzn9aRC0Hb49kmfVGjdrQBiuHBKOlZtPCx6f3De4yw3w1+iNUGsNCL6MEr92VTqDCf2e/tvmc9/dPa7VHHfZFfWY/sYeq8efXZAkSGz784kCPPqj+e+yT6gPdqya2uJ7puTX4Jr3D0IsAs7+b0678tGR7s2ROIQG7BDSCoZhsPbvVLzBW+XB0kXegGYjwyCYN9ZlXG/b+eXumtQbALCiaWD9mPhAPDKrL/f8f68cgC+XjsEzC5IoqLPTTaNjwB/S9L+FSXj/tuG4dng0jj89C7MGmJfh8pZJ8OYNzl+IvqMUHhIK6roImVSMGRbLtknFItwxvhdGxwW0+lo2z5+lfZfKBfcvljUfNzLK1FyLnC1/nzMP7Zg7KJyCOtIm+gshhMdoYvD3uWKM7BWACD9PnC9S4eO9WQCAO8b3QmjT7MVTedXoG6aEj1yKDN6aogYjg2uHR2Hd9otYPCEOzy1Mwn8+P4oDGc2Lo89OCsNVQyMBAA9MS0CUvyem9AuBTCLGWzvMs9wcWfqHmEnEItwyJhbfHsnDzaNjsHhic+tIsI8cb944DOcLa5EY4UvjzEibnr96IEbE+uNMQS3GxAdi2aR4uydDvHfrCGw5WYCVV/RDhVqLuW/tx+GsSmj0Ru5C7aLFcIF/zpfggWm2Z1DnVpjTr4zqRccF0jYK7Ajh+flkAR7/6QxClXIc/e8s7koZMGf6D/VV4FReNa794BCCfeQ49t+ZqFA3L5CtN5pw/7QEXJEUhsRwJUQiET65YyQKqxsRF+xtlR5CKhFjEW85sN+WT0SDzmg1S5LY5+krB+CaYVEY2cu6VcXP0wMTaJA5sVN0gBdWzOjb9oY2jOwVwP0NBnnLEKqUo6xOi4mv7MLVw6LwzIIBuFhqviC8Zlgkfk0pwmvb0rFwSCSXS4/FMAxOF9QAAOKCnZP4nPRs1BVLCM/OVPPyPGV15mCNv7TT/qaulAtN62VWqLU4kVuN6obmZa0WDo2Eh0SMARG+3NW9l0yKvmFKu3J+DY3xb3X8Dmmdl0yKMfGBkLh4sXlC7CUSibgW+sp6HTYczMbH+7K4NDUrZvTl1u+99oND0OiNSC1W4dEfTmNXWile+ycdxU3r77pjFQ/S/VBgRwiPjDc78uHvTwm6Wb8/lg+jiYGY1x2z5o8LKFWZg8D+YUo8tzCp8wpLCOkW7pnaW3D/lb/TAJjT3PQJ9cELVw8CYL5YXPjuAcx7ez9+PlmApZuOc2v+jokP5JaNI6Q1FNgRwqPVG7nbv6UUATDn/VLKpajTGJBarEKDrnmbs4W1XL60h2b2pTQThBAroUoF3rppmNXjT80fAAC4eUwsXr/enEz6UpntSRRJEZSRgdiHAjtCePJsrBHZK8iLW5s1o0wNDS/44wvwpqCOEGLbNcOjkPbCXO6+v5eHYNjFDaNiMIAXvEX5C/PlmSgzGbETBXaENNHojdzV8mxeUuAn5iZyKUwq63Vo1FkHdmIRrNYjJYQQPn7qokg/60THy6cnQCwCFk+Iw8EnZ+Cp+Yncc/42Vq4gxBaaFUtIk+SsShhNDIK8ZZiQEIR/L5gnTgyK8kNQU3qMqnotNHrrhMKzBoQhzJdmshJCWjeyVwBO5FbjoZnWM24XDInErAFhXAB4z5QE+Co88FtKEZZN6m21PSG2UIsd6bF+OVWA6W/sQVqJqs1tjSYGLzctDH/VsEhBuhEfuRQBXmxgp+PG2F05JILbxlNGSYQJIW374LYR+PG+8Zg7yPYSYpYJyW8eE4vv7hln13qyhAAU2JEebOXm08iuqMdLTQEbq7peh93pZZj6+m5sOJANwLx6xKUyNeRSMVZM74NZA8Jw8+gYvHLdYABAoI85sKtU67gxdsOi/eHZdBCemED50QghbQvzVVACcuJS1BVLeiR+mhL+mLgtJwuw6ofmdUPXbb+ImQNC8c958yLfI3sFIKhpWadXFg3htgttGmNXUN2I2KYEogqZBP+unIIj2VVYNCLKdV+GEEIIsRMFdqRH2nAwm7vt6+kBhmHw++kiQVAHAGqtAVNf38Pdn95fuD4ka0i0eVZsWokK3nJzK52nhwQxgV5WmeIJIYQQd6HAjjhFflUDtAYj+oR2jczoacXN4+p2pZVh+ht7kFNpncqEb2CkL+6cEGfzuQg/T4T7KlCi0uBkXg0AcN2whBBCSFdBgR1ptzqNHl8fzsOr29K4xz66fQTmDopo5VWuZzIx3DqMLH5Q98yCJEzqE4zsinqs+PYk7hgfh5kDQjE42g8yacvDTvuE+qBEpYHRZM4n5aOg3YcQQkjX4tbJE/v27cPChQsRGRkJkUiEX3/9VfD84sWLIRKJBP/mzp0r2Kaqqgq33XYbfH194e/vj2XLlkGtFp7Uz5w5g8mTJ0OhUCAmJgavvfaaq79aj2QyMTiWUwW90Zzu4+W/0gRBHQDsvVguuH84qxL7LB5ztYLqRqi1BnhIRFg9z5wHSiQyrwyxYfEoLJ0Yh/7hSswdFI4Lz8/FswuTMLFPMHzbWDXCsstVSYEdIYSQLsatZ6b6+noMHToUS5cuxXXXXWdzm7lz52Ljxo3cfblcLnj+tttuQ3FxMbZv3w69Xo8lS5bgnnvuwbfffgsAUKlUmD17NmbNmoWPPvoIZ8+exdKlS+Hv74977rnHdV+uB/rmSC6e+e08AOCdW4bj36YJB3zni5q7QHMr63H7Z0dgMDHYuGQ0pvQNgcFkglzq2i7MXWnm/HN9Q5W4d2oC5g2KgEqj51aP4Guthc7S5L7B+O5oHndfKafAjhBCSNfi1jPTvHnzMG/evFa3kcvlCA+3ne8nNTUV27Ztw7FjxzBq1CgAwLvvvov58+fjjTfeQGRkJL755hvodDps2LABMpkMAwcOREpKCtatW0eBnQPOFNRwQR0APPTdKQCAh0SEpZPicTynGidyq3GmoBYz39yD/5uTiO+P5cHQ1G3584kCvPJXGhr0Bjy3YCDqdQZcPcw8k9RgNOHFP1Phq5BCpTEgyFuGW8bGIthHbl2QNmw6mI3//XEBADBnoPnvJjbIOZMb5g+OgEwihq6pxZLWhSWEENLVdPkmhz179iA0NBQBAQGYMWMGXnzxRQQFmdfXS05Ohr+/PxfUAcCsWbMgFotx5MgRXHvttUhOTsaUKVMgk8m4bebMmYNXX30V1dXVCAgI6PTv1N3kVTbgqvcO2nwu0FuG1fPMC1lf9d4BnCmoRWZ5Pe77+oRgu61nirnbd315HIB5LcRRcYHYkVqGTYdyBNv/c6EEf6yYBJFIZHc5L5XWcUHdkGg/LJ+eYPdr7dUryItbdoy6YgkhhHQ1XfrMNHfuXFx33XWIj49HZmYmnnrqKcybNw/JycmQSCQoKSlBaKgwPYVUKkVgYCBKSszdhCUlJYiPjxdsExYWxj1nK7DTarXQarXcfZWq7ZULerILxbXc7SfmJkIqFuGlv8xJf/nLaC0YEoEzBbWC1/p5ekCjN0JrsF6G6/qPklv8zHOFKuxMLcMs3pqtbdl2zlzncUFe+O7ucZBKnD+ElL/ChBetNkEIIaSL6dKB3c0338zdHjx4MIYMGYKEhATs2bMHM2fOdNnnrl27FmvWrHHZ+3c3uU0zSq8eFon7p5lbwUbHB2LtX6l4eFbzeoe3ju2FfRcrcCCjAgDw1k3DMLlvMKrqdbhi/T4AwKuLBiPUV4ElG4+1+HmDonxxrlCFN7dfxKykMBiMJpSoNIjy94RIJMLnB7Kx4UA27pvaGzvTypBZrsaM/qH4IjkXAHD/tAR4u2j8G7972JHWREIIIaQzdOnAzlLv3r0RHByMjIwMzJw5E+Hh4SgrKxNsYzAYUFVVxY3LCw8PR2lpqWAb9n5LY/dWr16NVatWcfdVKhViYmKc+VW6FXamayxvVuiwGH9svne8YDsfuRRf3zUW5wprYWIYDIn2BwAE+chx75TeOJVfg/mDI6BUeODoUzPx6rZ0/HyyAABw69hYqBr1mNY/FMNi/DBr3T6kFqtw3QcHubxxALBpyWi8sNXc3cof88cGdd4yCa5Isl2vzvDCNYOQ/lEyRsVRFz4hhJCup1sFdgUFBaisrEREhDlP2vjx41FTU4MTJ05g5MiRAIBdu3bBZDJh7Nix3Db//e9/odfr4eFhHuy+fft29O/fv8XxdXK53Gr27eWqoLoBhzIrATRPRmiLrdmnq+cPENwP9VXgzRuH4s0bh6Jea4CXTCJoAesb6oNLZWpBUAcAi1tp6QtRyrHhztEI9Ja1uE1HRfl7Yv/j0yEWU2sdIYSQrseteezUajVSUlKQkpICAMjOzkZKSgry8vKgVqvxf//3fzh8+DBycnKwc+dOXH311ejTpw/mzJkDABgwYADmzp2Lu+++G0ePHsXBgwexYsUK3HzzzYiMjAQA3HrrrZDJZFi2bBnOnz+PzZs34+233xa0yJFmJ/OqkV5Sx93//XQRAGBwlJ/NgM0ZvOVSq27Nx+b0527PGhCKEGVzoB2ilOP164dgZmIoFk+Iw6WX5uHii/Nw9KmZGBztmjLyUVBHCCGkqxIxDMO468P37NmD6dOnWz1+55134sMPP8Q111yDU6dOoaamBpGRkZg9ezZeeOEFbvIDYE5QvGLFCvzxxx8Qi8VYtGgR3nnnHfj4+HDbnDlzBsuXL8exY8cQHByMBx98EE888YTd5VSpVPDz80NtbS18fX079qW7gHOFtZBLxYgJ9MLWM8WYOygcPnIpLpbWYe5b+8AA+PPByVB4iDH37f3QGUx4YFoCHp+b2Knl/HRfFuo0eqy8oh9EIhF2pZVCBBGm9Q+h8W2EEEIuG47EIW4N7LqLnhTYFdY0YuIruwAA/cJ8cLFUjSuHRGBEbAAKqhuw8WAOAHOrWHmdeWZwQog3/nxoMhS0NiohhBDS6RyJQ7rVGDvScVubulYBcOup/nmmGH/y8swB4II6APjgtpEU1BFCCCHdgFvH2JHO9zsvsGvJ8Fh/7va1w6PQP1zpwhIRQgghxFmoxe4yklGmFqzlaql3iDeev2oQJvUNxvGcKkglYgyL8e+8AhJCCCGkQyiwu4wcza4CAEzsE4RnFwzEtR8cRKhSjuoGPW4YGY2nFyRx246KC3RXMQkhhBDSThTYXUZKVRoAQGygN/qHK3Hh+bluLhEhhBBCnInG2F0m8iobcLbQvI5rqJKSLxNCCCE9EbXYuZDJxCCjXI0+IT5uSWpbptJg46EcJIYrsXJzCkxNiW1CfSmwI4QQQnoiCuxc6L+/nsN3R/Nw5ZAIvHnD0E5NGVLboMeYl3fafC7cV9Fp5SCEEEJI56GuWCcwmhh8fiAbPxzPB5vvWaM34rujeQDMeeISn9mGT/dl2Xy9Rm/E3ovlMBhNTivTyh9SbD4e4OWBiX2CnfY5hBBCCOk6qMXOCT7bn4W1f6cBAL44lIMh0X7443Sx1XYv/ZWKYbH+GG0x4/Tlv1LxZXIuhkT74eu7xsJX4QEAqNca4CWTOLx8Vm2jHrvTywAAfp4eqG3UY0ZiKN6+eRiUTe9NCCGEkJ6HArsOyq9q4II6ADhfpBLkirt+ZDQenNEHs9fvg9ZgwpaTBRgZG4B7vjqBHamlgvc6U1CLe748jm/vGofX/knHx/syMalPMDYsHg0Pie3G1fI6Leq1BvQK8uICwBO5VWAYQCmXIuXZK5Bf1YhIfwWkLbwHIYQQQnoGCuwcsHrLGcwcEoej2VXQGxkMiFDiQrE5iJNJxPjxvvH44lAOLhSrUKcxoE+oD56aPwCB3jK8ffNw3Pf1CXx3NB/fHc1v8TMOZ1Wh91N/cff3X6rAgUsVmJ4YarWtzmDCNe8fRGFNI6b0C8EXS0ZDJBLhaHY1AGD+4AiIRCLEBnk5+ZcghBBCSFdEgZ0D/jhdjD/Tam0+t3HJaAyN8ce6m4bZfH5gZMuL9l47PAovXDMIb/yTjk2HcqyeX/lDCrbcPwF/nS3Gt0fy4O8lg1gMnCtsbhncd7EcL/2Zir0Xy3GpzLwG7Oh4SjJMCCGEXE4osHMCuVSMMW0EUdEBnpjSLwT7LpYDACb1CcatY2MxOymM6yJ9bmES+oUpkV2hRohSjquHRWHhuwdQVqfFjDf3cu9VVKsRvLdYBJgY4LMD2YIyTe8f4qyvSAghhJBuQMSw0zhJi1QqFfz8/JCeV4JGyNEn1AdikQhfH87F+aJaTE8MxdXDoux6L63BCFWjASF2JglOya/BdR8c5HLQ3TQqBpuPm7tyJ/UJxu3jemFGYige/v4U/j5XAsA88/XNG4diRmKY41+WEEIIIV0KG4fU1tbC17flHkCAAju7OPKDukJ+VQOSMysh9xDjqqGROFNQi3qdARMSmtOWGE0MDmZUoF+YEuF+lKeOEEII6SkciUOoK7YbiAn0Qkxg8wSIoTH+VttIxCJM6Uddr4QQQsjljAI7O7CNmiqVqo0tCSGEEEKci40/7OlkpcDODpWVlQCAmJgYN5eEEEIIIZeruro6+Pn5tboNBXZ2CAw0z3jNy8tr8wcl9lOpVIiJiUF+fr5bxi72VPS7ugb9rq5Bv6tr0O/qGu76XRmGQV1dHSIjI9vclgI7O4jF5nQkfn5+tIO4gK+vL/2uLkC/q2vQ7+oa9Lu6Bv2uruGO39XehiVaY4oQQgghpIegwI4QQgghpIegwM4Ocrkczz33HORy+5IKE/vQ7+oa9Lu6Bv2urkG/q2vQ7+oa3eF3pQTFhBBCCCE9BLXYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EBTYEUIIIYT0EFJ3F6A7MJlMKCoqglKphEgkcndxCCGEEHIZYRgGdXV1iIyMhFjcepscBXZ2KCoqQkxMjLuLQQghhJDLWH5+PqKjo1vdhgI7OyiVSgDmH9TX19fNpSGEEELI5USlUiEmJoaLR1pDgZ0d2O5XX19fCuwIIYQQ4hb2DAejwI4QQggh3ZLBaML5IhXOFNbiXEEtLhSrIJeK8dP9E9xdNLehwI4QQggh3YZGb8SBSxX453wJdqSWorpBL3heLhXDaGIgEV+ekx0psCOEEEJIl6bS6LE7rQz/nC/BnvRyNOiM3HN+nh4YGuOPIVF+GBTli35hSlymMR0ACuwIIYQQ0gWVqTT490Ip/jlfgsNZldAbGe65CD8F5gwMx+yBYRgTFwiphNLysiiwI4QQQkiXkF1Rj3/Pl+Cf8yU4lV8DpjmWQ59QH8wZGIY5A8MxOMqP8sq2gAI7QgghhLiFRm9EclYl9qSVYc/FcuRWNgieHxrjzwVzCSE+bipl90KBHSGEEEI6VUp+Db48lINt50sE4+U8JCKMiQ80d7MmhSPcT+HGUnZPFNgRQgghxOV0BhP+OluMjYdycDq/hns83FeB6YmhmN4/BBP6BMNHTqFJR9CvRwghhBCXKahuwA/HC/DtkTxUqLUAAJlEjAVDIvCf8b0wLMafxss5EQV2hBBCCHEKhmFQUN2I0wU1OJ1fg1N5NTiRV81NggjzleP2sb1wy9hYBPvI3VvYHooCO0IIIYS0W22DHnsvlWNvejkOZJSjVKW12mZ87yDcOjYWcweFw4NSk7gUBXaEEEIIsRvDMLhUpsautDLsSi3DibxqGE3NeUk8JCIMiPDFkGg/DI32x7jeQYgJ9HJjiS8vFNgRQgghpFUVai1O59dgT3o5dqWVobCmUfB8n1AfTO8fgqn9QjEqLgAKD4mbSkoosCOEdBkMw3BjcUQi0IBqQjqZycQgt6oB54tqcaFIhQvFKlwoUqGsTti9KpOKMb53EGYkhmJGYii1yHUhFNgRQlyKYRgU1jTiXGEtzhbW4myhCuklKjRojdAaTdAbTYLs8iyxCJBLJQhWypAQ4oP+4UqMiA3A2PhA+HvJOv+LENIDaQ1GHMqsxOHMSqTk1+BcYS3qeXnlWCIREB/kjbG9gzAzMRQT+gTBS0YhRFdEtUIIcRqGYVCi0uBsQS3OFNTiTGEtzhbUoLpB7/B7mRigUW9EflUj8qsasSe9HAAgEYswslcAZiaGYuaAMCSEeFPLHiEOUGn02J1Whn8vlGJPWplVICeXipEYrkRSpC+SInyRFOmHxHAlvCm/XLcgYhhb18qET6VSwc/PD7W1tfD19XV3cQjpVAzDQK01QKUxQNWoR22jHqpGPXe/Qq1FTmU9sisakFtZL8giz5KKRegXpsTgKD8MjvbDwEhfBHjJ4CEVw0MsglhsDsz44ZnRxECjN6G4thEZ5WqcK1ThWE4VMsrUgvcO9pFhSLQ/BkX6YkCE+V9soBf3npc7o4lBTmU90kvqcKlUjbI6DaobdKjTGCAViyCViOElk8BHLoVS4QGlQgqlQgofufmfSCSCwWiC3sRAozOiXmdAg84Ijd4IP08PhPkqEOarQFSAJ8KUclqMvYsxmRgU1TYip6IBZwtrse9iOY7nVkFvbD71h/nKMb1/KEbEBmBIjB/6hPhQPXYxjsQhFNjZgQI70tMZjCacLazFkewq5FY2oLxOg7I6LUpVGlSodYIZb22RiEXoG+qDIdF+GBztjyFRfugfrnTaYOr8qgbsSivDjtRSHMmqgs5ostrGWyZBYoQvBkQouWAvMVx5WXQd6Y0mpOTX4FBGJQ5mVuB0fg20BuvfyBUkYhHCfRUI9pHB30sGP08PSMQiGEwMtHojDCYGXjIJlAoP+Cqk8PPyQJS/J6IDvBAT6IkQHzm1vraDRm9EflUDcirNF1f5VQ3Ir25EXlUD8qoaoLNR/wkh3pg9MBxzBoZjSJQfXQh1cRTYORkFdqQnUGn0OFdYi+yKepSqtChTaVDbqEd5nRapxSqb42r4ZBIxfD094Ospha/CA36eHvD19ECAlwdiA70QH+yNuGBvxAR4QSbtnKt9jd6IC8UqnMmvwYViFVKL65BeWmfzRCYSAXFB3kiyCPgi/BTdOpgwmRikldThYEYFDmZW4Gh2lVWrqcJDjH5hSvQPUyLS3xOB3jIoFVIYTAz0RhMadUbUaQyo0xig1uqb/jffB8zpK6RiMTxlEnjJJPCWSSH3EKO6QY9SlQYltRoU1zYKWoHaQy4VIzqgOdCL8vdCVIAnIv0UCFUqEKKUw1N2+c62rG3UcxMaLpbUIaeyHnlVDSiu1bT6Og+JCDGBXugT4oMJCUGY0i8EvUN8OqnUxBkosHMyCuxId2QwmnAosxJ/nS3GkewqZFfUt7q9r0KKcb2DMCDCF6G+coQqFQhr+t/fy6PbpC8wGE3IrqjnAj3z/yqU11knTQUAfy8P83iiCD8kRijRK9ALMYFeCPNVQNJFWzEKaxpx8FIFDmRU4FBmBSrUOsHzAV4emJAQjAl9gjA2Pgjxwd4u/y4mE4OyOi0KaxpQXa9HdYMOtY3msZUikQgKDzGkYhHqtUaoNObgsbpeh4KaRhRUNaBYpbE5icaSj1yKcD8F+ob6oG+oD/qEKdE31Ae9Q7whl3bO36hGb0RuZQMq67Vca6i/pwf8vWSI8FN0aF/RG02oqtehTKVFuVqD/KpGnM6vQUp+DbJa2YeVcil6BXuhV6A3YoO8EB3giZgAL8QFeSPSX0Fdq90cBXZORoEd6S6MJgaHsyqx9Uwxtp0rtpq0EOXvif7hSoT7KRCmVCDA29zylhjuiz6hPl02kHGGCrW5ZTK1KX1DanEdMsvVMLTQzewhESHS33xyjPBTwEsmgdxDAplEDLlUDJnU/L+flwfXmhSqlMPP08MlLYC1jXpsPVOEn04U4FRejeA5L5kEY+IDMalPMMYnBGFAuG+361rTGUwoqdUgv7oBBdUNyK9qRGFNIwqrG1FU24gKtRYafctdyuKmFtk+oT7oG+aDvqFKJIT4INxPgSBvWYu/h8nEQG8yQW9koDeYZ2nrTQwadQYU1WhQVNNcjsKaxjZbyEQi837WO8QHvYO9kRDijd4hPpCKRVBrDdw/NrAtr9OiXK01/1+nRVWDrtUAN8rfEwMjfZEY4YveweYgLi7IGwFervm7I10DBXZORoEd6eoyytT4+WQBtpwsECznE+gtw7xB4ZiVFIah0f4I9KY0IXxagxGXStVNAV8dLpbWIb+6AUU17e9WlEnFCPGRI8JPgUh/T0T6eyLKX4HoAC8E+8ih8BBDLpWY//eQQN4UIPJPygajCWV1WlwqUyOtWIW9F8txNLuKC0LFImBYjD8m9QnGxD7BGB4b0Gnd3+7CTuIpr9OioLoRF0vrkFGmxqUyNS6W1nHdxrZIxCL4yKWQNgV3emNTIGc0tRjYt0WpkCLMVwGFhxgmkznwrm7Q2Zw85CiJWIQgbxlClHKE+yowMMoPw2P8MTSG9uHLFQV2TkaBHemKWmrB8fP0wLxB4VgwJBLjegdSF0w7GE0MSlUa5Fc1oKC6ESUqDTR6I7QGE3QGE7QGI7R6E7QGE6obzK0uZXVaruuxPeRSMRQeEkjFIlQ36GAr3ugfpsSikVG4ZlgUQn0VHfiGPQvDMChvCoQvldaZ/y9TI6u8HpX1Wru6eFkiEbhW2XA/BaLY4DzAk5voER9su4WMYRhUqHXIKlcjq6Le/H95PTcMwoc329hHIYW/pwyhvnKE+MgRomz+F+Al69Gt58RxTg/shg8fbncT78mTJ+0rZTdCgR3pSkpVGnyyLwvfHslDo97cOiARizCtXwiuHxmNGQNCO22sERHS6I1ckFdSy+vGq2lEQXUjahp0XICo0RttBm8siViEuCAv9AtTYmSvAMwaEIa4YO/O+zI9hMFoQoVaB7XWAKOJAQMGHhIxZBIxPCRieEhE8JA236eAinRFjsQhds39v+aaa7jbGo0GH3zwAZKSkjB+/HgAwOHDh3H+/Hk88MAD7S81IaRV+VUN+HhfJn44VsCl+OgX5oMbRsbg6uGRCFVSC467KTwkiGmafNEWhmGgNzLQGozQ6E1cwGcwmRDkLUegN7XaOINUYm55I+Ry4XBX7F133YWIiAi88MILgsefe+455OfnY8OGDU4tYFdALXbEnbLK1fhgTyZ+PVXIjQcaHReAB2f0xeS+wTRgmhBCejhH4hCHB9/8+OOPuOOOO6wev/322/Hzzz879F779u3DwoULERkZCZFIhF9//VXwvEgksvnv9ddf57aJi4uzev6VV14RvM+ZM2cwefJkKBQKxMTE4LXXXnOonIS4Q1qJCg9+dwoz1+3FTycKYDAxmNw3GJvvGYcf75uAKf1CKKgjhBAi4HAadk9PTxw8eBB9+/YVPH7w4EEoFI41d9fX12Po0KFYunQprrvuOqvni4uLBff//vtvLFu2DIsWLRI8/vzzz+Puu+/m7iuVSu62SqXC7NmzMWvWLHz00Uc4e/Ysli5dCn9/f9xzzz0OlZeQznCmoAbv7srA9gul3GOzBoRi+fQ+GB4b4MaSEUII6eocDuweeeQR3H///Th58iTGjBkDADhy5Ag2bNiAZ555xqH3mjdvHubNm9fi8+Hh4YL7v/32G6ZPn47evXsLHlcqlVbbsr755hvodDps2LABMpkMAwcOREpKCtatW0eBHelSTuZV4+0dl7D3onmxe5EImD8oAsun90FSJA0BIIQQ0jaHA7snn3wSvXv3xttvv42vv/4aADBgwABs3LgRN954o9MLyCotLcWff/6JL774wuq5V155BS+88AJiY2Nx6623YuXKlZBKzV8tOTkZU6ZMgUzWnPtnzpw5ePXVV1FdXY2AAOsWEK1WC622OReYSqVywTcixCy1WIU3/03HjtQyAObZkFcPjcQD0xPQJ1TZxqsJIYSQZu1aEfvGG290aRBnyxdffAGlUmnVZfvQQw9hxIgRCAwMxKFDh7B69WoUFxdj3bp1AICSkhLEx8cLXhMWFsY9ZyuwW7t2LdasWeOib0KIWVa5Gut3XMIfp4sAmJPOLhoRjRUz+qBXEKW1IIQQ4rh2BXYAoNPpUFZWBpNJuMRLbGxshwtly4YNG3DbbbdZjeNbtWoVd3vIkCGQyWS49957sXbtWsjl8nZ91urVqwXvq1KpEBMT076CE2KhsKYR7+y4hJ9OFsDYNMt1wZAIrLyiHxJoYW5CCCEd4HBgd+nSJSxduhSHDh0SPM4wDEQiEYzGji+nYmn//v1IT0/H5s2b29x27NixMBgMyMnJQf/+/REeHo7S0lLBNuz9lsblyeXydgeFhLSkvE6LD/Zk4JvDeVweupmJoVg1ux8GRvq5uXSEEEJ6AocDu8WLF0MqlWLr1q2IiIjolHQLn3/+OUaOHImhQ4e2uW1KSgrEYjFCQ0MBAOPHj8d///tf6PV6eHh4AAC2b9+O/v372+yGJcTZahv0+GR/JjYcyOFWihgbH4jH5/bHyF6Bbi4dIYSQnsThwC4lJQUnTpxAYmJihz9crVYjIyODu5+dnY2UlBQEBgZyXboqlQo//vgj3nzzTavXJycn48iRI5g+fTqUSiWSk5OxcuVK3H777VzQduutt2LNmjVYtmwZnnjiCZw7dw5vv/021q9f3+HyE9KaBp0BGw/m4OO9mVA1LVA+NNoPj83pj0l9KLEwIYQQ53M4sEtKSkJFRYVTPvz48eOYPn06d58d13bnnXdi06ZNAIDvv/8eDMPglltusXq9XC7H999/j//973/QarWIj4/HypUrBePj/Pz88O+//2L58uUYOXIkgoOD8eyzz1KqE+IyWoMR3x7Jw/u7M1Ch1gEwL/316Oz+mJ0URgEdIYQQl3F4SbFdu3bh6aefxssvv4zBgwdz3ZusnrjkFi0pRuxhMJqw5WQh3t55CYU1jQCA2EAvrLqiHxYOjaR1PwkhhLSLI3GIw4GdWGxehcyy1cGVkyfcjQI70hqTicGfZ4uxfvtFZFXUAwDCfRV4aGZf3DAqGh4Sh1fuI4QQQjiOxCEOd8Xu3r273QUjpCcxmRj8e6EEb+24hLSSOgBAoLcMD0xLwO3jekHhIXFzCQkhhFxuHA7spk6d6opyENKtHLhUgVe2peJcoXlVEqVcirsm98ayyfHwkbc7PSQhhBDSIe06A+3fvx8ff/wxsrKy8OOPPyIqKgpfffUV4uPjMWnSJGeXkZAu40KRCq9sS8O+pvVcvWUSLJ0Uj7sm9Yafl0cbryaEEEJcy+HBPz///DPmzJkDT09PnDx5kltTtba2Fi+//LLTC0hIV1BY04hVP6Tgynf3Y9/FcnhIRFg8IQ77Hp+OR2f3p6COEEJIl+Bwi92LL76Ijz76CHfccQe+//577vGJEyfixRdfdGrhCHG32gY9PtiTgY2HcqAzmFeLWDAkAv83pz+t50oIIaTLcTiwS09Px5QpU6we9/PzQ01NjTPKRIjbaQ1GfJWci3d3ZaC2UQ/AvFrEU/MHYGiMv3sLRwghhLTA4cAuPDwcGRkZiIuLEzx+4MAB9O7d21nlIsQtTCYGf5wpwuv/pKOg2pyLrl+YD56cl4jp/UMpuTAhhJAuzeHA7u6778bDDz+MDRs2QCQSoaioCMnJyXjsscfwzDPPuKKMhHSKC0UqrN5yBqcLagEAYb5yrLqiH64fGUPJhQkhhHQLDgd2Tz75JEwmE2bOnImGhgZMmTIFcrkcjz32GB588EFXlJEQl9IajHh/VwY+2JMJg4mBj1yK+6b2xtJJ8fCSUeoSQggh3YdDK08YjUYcPHgQQ4YMgZeXFzIyMqBWq5GUlAQfHx9XltOtaOWJnislvwaP/3QaF0vVAIB5g8Kx5uqBCFUq3FwyQgghxMxlK09IJBLMnj0bqamp8Pf3R1JSUocKSoi7aPRGrNt+EZ/tz4KJAYJ9ZHj+6kGYPzjC3UUjhBBC2s3hfqZBgwYhKysL8fHxrigPIS53NLsKT/x8BtlN67peOzwKzy5IQoC3zM0lI4QQQjqmXXnsHnvsMbzwwgsYOXIkvL2Fubyoq5J0VQXVDVj370VsOVUIAAj3VeClawdh5oAwN5eMEEIIcQ67x9g9//zzePTRR6FUKptfzEv9wDAMRCIRjEaj80vpZjTGrnurrtfh/d0Z+DI5FzqjOcnwzaNj8NSVA+CroBUjCCGEdG2OxCF2B3YSiQTFxcVITU1tdbupU6faX9JuggK77kmtNeCLQzn4aG8m6jQGAMCEhCA8OS8RQ6L93Vs4QgghxE4umTzBxn89MXAjPUu91oCvD+fi431ZqKrXAQASw5V4cl4ipvYLoSTDhBBCeiyHxtjRCZF0ZdX1Omw8lIMvDuVwy4DFB3vj4Zl9cdXQSIgpyTAhhJAezqHArl+/fm0Gd1VVVR0qECGOKqnV4NP9Wfj2SB4a9eYxnvHB3nhgWgKuHR4FqUTs5hISQgghncOhwG7NmjXw8/NzVVkIcUhxbSM+2J2JzcfyuUkRAyN98cC0Ppg7KJyWASOEEHLZcSiwu/nmmxEaGuqqshBil+LaRny4JxPfH20O6MbEB2L59D6Y0jeYhgwQQgi5bNkd2NHJkrhbbYMeb++8hK8PN6ctGRsfiEdm9cP4hCA3l44QQghxP4dnxRLS2YwmBt8dzcOb/6ajusE8KYICOkIIIcSa3YGdyWRyZTkIselQZgWe/+MC0krqAAB9Q33wzIIkTOkX4uaSEUIIIV2PW6cL7tu3DwsXLkRkZCREIhF+/fVXwfOLFy+GSCQS/Js7d65gm6qqKtx2223w9fWFv78/li1bBrVaLdjmzJkzmDx5MhQKBWJiYvDaa6+5+quRDsqtrMc9Xx7HrZ8eQVpJHXwVUvxvYRL+fngyBXWEEEJICxxeK9aZ6uvrMXToUCxduhTXXXedzW3mzp2LjRs3cvflcrng+dtuuw3FxcXYvn079Ho9lixZgnvuuQfffvstAHO25tmzZ2PWrFn46KOPcPbsWSxduhT+/v645557XPflSLvUafR4b1cGNh7Mgc5ogkQswm1jY7FyVj8EeMvcXTxCCCGkS3NrYDdv3jzMmzev1W3kcjnCw8NtPpeamopt27bh2LFjGDVqFADg3Xffxfz58/HGG28gMjIS33zzDXQ6HTZs2ACZTIaBAwciJSUF69ato8CuCzGaGPxwPB9v/puOCrV5tYjJfYPxzIIk9AtTtvFqQgghhABu7oq1x549exAaGor+/fvj/vvvR2VlJfdccnIy/P39uaAOAGbNmgWxWIwjR45w20yZMgUyWXNrz5w5c5Ceno7q6mqbn6nVaqFSqQT/iOsczqrEwncPYPWWs6hQ69A72BsbFo/Cl0vHUFBHCCGEOMCtLXZtmTt3Lq677jrEx8cjMzMTTz31FObNm4fk5GRIJBKUlJRY5dWTSqUIDAxESUkJAKCkpATx8fGCbcLCwrjnAgICrD537dq1WLNmjYu+FWHlVzVg7d+p+Ousua6UCikemdUP/xnXCzJpl7/mIIQQQrqcLh3Y3XzzzdztwYMHY8iQIUhISMCePXswc+ZMl33u6tWrsWrVKu6+SqVCTEyMyz7vclOvNeCDPRn4dH82dAYTxCLg1rGxWHVFfwTSODpCCCGk3bp0YGepd+/eCA4ORkZGBmbOnInw8HCUlZUJtjEYDKiqquLG5YWHh6O0tFSwDXu/pbF7crncapIG6bhGnRE/ncjHO7syUF6nBQBMSAjCswuTkBju6+bSEUIIId1ftwrsCgoKUFlZiYiICADA+PHjUVNTgxMnTmDkyJEAgF27dsFkMmHs2LHcNv/973+h1+vh4eEBANi+fTv69+9vsxuWOF+lWosvk3Px1eFcVNWbJ0b0CvLCU/MHYHZSGK1qQgghhDiJWwM7tVqNjIwM7n52djZSUlIQGBiIwMBArFmzBosWLUJ4eDgyMzPx+OOPo0+fPpgzZw4AYMCAAZg7dy7uvvtufPTRR9Dr9VixYgVuvvlmREZGAgBuvfVWrFmzBsuWLcMTTzyBc+fO4e2338b69evd8p0vFxq9ETtTy/BrSiH2pJdBbzSvXBIT6Im7JvXGzWNiIJdK3FxKQgghpGcRMW5cK2zPnj2YPn261eN33nknPvzwQ1xzzTU4deoUampqEBkZidmzZ+OFF17gJj8A5gTFK1aswB9//AGxWIxFixbhnXfegY+PD7fNmTNnsHz5chw7dgzBwcF48MEH8cQTT9hdTpVKBT8/P9TW1sLXl7oMW3O+qBZfHMrBX2dLoNYauMeHRPvhnim9MXdgOKQSmhhBCCGE2MuROMStgV13QYFd60wmBrvTy/DJviwcya7iHo/y98TVwyJx1bBIGkNHCCGEtJMjcUi3GmNHuhaN3ohfThXis/1ZyCyvBwBIxSLMGxyB/4zrhdFxATR+jhBCCOlEFNgRh6WX1OH304XYfCyfWyVCKZfi1rGxWDwxDhF+nm4uISGEEHJ5osCO2CWvsgF/nCnC7ylFSC+t4x6P8vfEkolxuGl0DJQKDzeWkBBCCCEU2JEWlao02HqmGL+fLsLp/BrucQ+JCFP7heLa4VGYMzCMJkMQQgghXQQFdkSgul6HbedL8HtKEQ5nV4KdWiMWARMSgnHV0EjMGRgOPy9qnSOEEEK6GgrsCBp1RmxPLcVvpwqx71I5l3MOAEb2CsBVQyMxb3A4QpUKN5aSEEIIIW2hwO4ydjirEpuP5eOf8yVo0Bm5x5MifLFwaCQWDIlATKCXG0tICCGEEEdQYHcZ++d8CX45VQjAvCLE1UOjcM3wSPQJVbq5ZIQQQghpDwrsLmOLRkTDaGJw9bAojIj1p5xzhBBCSDdHgd1lbFCUHwZF+bm7GIQQQghxEgrs7MCuuqZSqdxcEkIIIYRcbtj4w55VYCmws0NlZSUAICYmxs0lIYQQQsjlqq6uDn5+rfe0UWBnh8DAQABAXl5emz8osZ9KpUJMTAzy8/PbXNSY2I9+V9eg39U16Hd1DfpdXcNdvyvDMKirq0NkZGSb21JgZwex2Lyygp+fH+0gLuDr60u/qwvQ7+oa9Lu6Bv2urkG/q2u443e1t2GJ1oIihBBCCOkhKLAjhBBCCOkhKLCzg1wux3PPPQe5XO7uovQo9Lu6Bv2urkG/q2vQ7+oa9Lu6Rnf4XUWMPXNnCSGEEEJIl0ctdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPQQFdoQQQgghPYTU3QXoDkwmE4qKiqBUKiESidxdHEIIIYRcRhiGQV1dHSIjIyEWt94mR4GdHYqKihATE+PuYhBCCCHkMpafn4/o6OhWt6HAzg5KpRKA+Qf19fV1c2kIIYQQcjlRqVSIiYnh4pHWUGBnB7b71dfXlwI7QgghhLiFPcPBaPJEF5acWYmF7x7AqbxqdxeF2KGqXodrPziIrw/nursoxA4Mw2DV5hQ8+sNpdxeF2OnL5Bxc98FBVNfr3F0UYocTudVY+O4BHMmqdHdRLisU2HVht3x6GGcLa7Hi21NuLYdGb8SNHyfjzX/T3VqOrm799os4lVeDp3895+6i4IWtF/Cfz4/AYDS5uyhdVlGtBltOFeLnkwWobdC7tSy/ny7C/Lf3I7ui3q3l6Oqe/e08TubVYNOhHLeWI6NMjXlv78efZ4rdWo6ujj2HLfviuFvLoTOYcPtnR/DyX6luLUdnocCuG6hy89XpbymFOJpdhXd3Zbi1HF1dXlWDu4sAADCaGHx+IBv7L1XgRC619rakqKaRu13b6N7A7qHvTuFCsQovbr3g1nJ0ZSYTw902mNx7wfLYj6eRWqzC8m9PurUcXZ3OYK4ntdbg1nLsSivDgYwKfLIvy63l6CwU2HUDfp4ebv388jotd5thmFa2vLy5OzhgCerLjeXo6nIrmwPxrlJ39Tr3ngC7shKVhrvtJXPv8PCuchHXXcik7g01Kuubj4n6y6AXgwK7LsrIuzotUWnQ4MYDfr3OyN3W6Hv+TtFejbzfqZDXGtTZimqbP1utoUChJcW8OkrOqnBbOfgXSz5yms/WkuLa5sDu3wulgha8zlbv5hao7kZnMLm11Y5/HFR1kYs4V6LArotq1BsF9x/6LsU9BQFQwxt/pNL0/J2ivSTi5tlKE1/ZxXVDdLbC6uaAheqrZfwLlpf/SnPbJKVq3v7l6eaWqK6Mf3F7Or8GH+7NdFtZtG7at7sTo0Xgfd9XJ9xUEqBU1dxip7oMLnYpsOui+K0/ALAjtdRNJQEyy9Xc7a7SZdUVWY77cdfYyKzy5gH4VF8t01hcPPF/t87E378sy0SaWR4T00rq3FIOy4CF2Gb5t3wgw32t4pfbOYwCuy7K8iAW4OWecXYMw+BSafMB9HJoxm6vBos6q3NTa9nFMn599fyr0/ayHN7gtvri7V+Xw0mnvSx7MdwVBOdbjK+jmee2WR4PPSTuW47zcjuHUWDXRTXohScdy52ks9RpDYKuoho3p4XoyiyDcXc1+efxJgXUNFK+r5ZYB+Juqi9eoODutCtdWVe5cMq1COwoGLfN8nioNzJuae3UG00o4o3PrLkM6qvbB3b/+9//IBKJBP8SExO55zUaDZYvX46goCD4+Phg0aJFKC11X7emvdiDmLJpMLXWYMLei+WdPm7LcucsrnXfpICujqszhbnO9qSXuaU7lt8SVVyjaWXLy1ujRX2dLqhBRpm6tZe4tByAcOILEbLcv/KrGnEsp6rTZ+o3WrT08id1kGZs44SSNyFo+4XSTm9ptWzpLXbjxLbO0u0DOwAYOHAgiouLuX8HDhzgnlu5ciX++OMP/Pjjj9i7dy+Kiopw3XXXubG09mEP9iG+cu6xOzcc7fQkwZY7YX51z98p2sNkYrgDSJivAgDw7q4MXPfBwU4vC3/mcn41pWVoCRsosPW1I7UMs9bt7fQTD//z6jQGarVrARtQsfVVWNOIGz5Kxr5LnTt2yzIzgGXXLDFj9y8/Lw8u3cl9X5/AC52cq9H6HNbz66tHBHZSqRTh4eHcv+DgYABAbW0tPv/8c6xbtw4zZszAyJEjsXHjRhw6dAiHDx92c6lb18hrsfOSSbjHP+YlWNQajC4f30EHMfvwZ8mF8YLxHF63qMnEdErQoDU0fwbVV8uaA3G54PHqBnMrK8MwVi3WrmC1j10GJ572aKm+/j1f0rxNp9TX5RcotIemqS68ZBL4Kppb7b45ksfd1hlMLs8rp7U6h/X8xokOz61/55137N72oYce6ujH2XTp0iVERkZCoVBg/PjxWLt2LWJjY3HixAno9XrMmjWL2zYxMRGxsbFITk7GuHHjbL6fVquFVsubHq1SuaTcrWloOnh4yiRQKqTc1Q+7/m9xbSOmv7EHVySF491bhrusHPwgAQAuuaGrqjvgd3+G+MitnmcYBgvfO4A6jQF/PjQJSoXrJsPwD2QqjQFlKg1Cm1o5SDM2CAhVCn+b2kY9Ivw8sfbvNHxxKAff3zMOw2MDXFYO632sDoOi/Fz2ed1VQwv1pfAwX/juTivDkk3H8MyCJCybFO+yclimOrlUSsdEW9j68pRJoTQyqFALh6VUqrWY9voejO0dhM/uHOWycljuX+4YbtHZOhzYrV+/3q7tRCKRSwK7sWPHYtOmTejfvz+Ki4uxZs0aTJ48GefOnUNJSQlkMhn8/f0FrwkLC0NJSYntNwSwdu1arFmzxulldQTb7eAlkyLIW87l4ZE3NWknZ1ZCozfhj9NFeHxOf8QEermkHGxrgo9cCrXWgMxyNRp0Brdnfu9q2IOYwkOMEKUwsGMYBvU6I84XmS8QtpwsxJ0T4lxWFo2hubW3TmvA+SIVBXY2sGOAYgI8BY9X15u7Qtnlh+74/CjOrpnjsnKw+xhXX4UqXOu6a7Vuiw3Eo/yF9eUhMR8TP91vrq8Xtl7A0olxEIlcMwuTbbFjj4nnijr/wr87YBsnvDwk8BCLrNZBPpVXgzqtATtSS3GptA59w5QuKQe7f3nLJKjXGVFY04jqeh0CvGUu+byuoMNdsdnZ2Xb9y8pyzRpt8+bNww033IAhQ4Zgzpw5+Ouvv1BTU4Mffvih3e+5evVq1NbWcv/y8/OdWGL7NF/tSBAf7M09zl6d8puvLXeYoppG3PxJMv4533Lwai/2IBYd4IlAbxkYBsipoK4HS2w3kaeHBAMjha0tdVoDqnmTKCwHW5tMDB787pRTxk8aTQz0RvNg8iEx5nLwcziRZmygMCouUPB4rcVM4jobGfM/25+FZZuOOaVrnX0Ptr6yKtyTT6+rY4+J/hapn9hVIEJ5F1T1Fl2yhzIrcOPHyYK0F+3FBgpD2fqi/csmtnHCUyZB7xBvq+cbePuO5d98eZ0Wt356GL+fLupwOdj9K0Qp5y4Kevo+1iPG2PH5+/ujX79+yMjIQHh4OHQ6HWpqagTblJaWIjw8vMX3kMvl8PX1FfzrbOxBzMtDgmn9Q7jHvZtayvhpRyzzcb3ydxoOZ1XhXidk+mZ3CoWHhMulN/+d/Xj2t3Mdfu+ehKsvmRQjewUIVqGobdALUiJY1ldKQQ3+OF2Ed3dldHi8CT/QiPAzH8Re/DMViz485NZl6boits56BXkhLqi5xdsypY+thp8X/0zFzrQy/JZS2OFyaJq69tj62pVWhimv7UZaCbUE8fH3sVvHxnKPs+kr+LMfGyyC8Vs/PYKj2VVY8e2pDpeDbRGPbKovrcGEMS/twA/HO78BoCvjN05M6dd8DgtsaimrbdDxthXW1zs7L+FQZiUe+s4J9dUUiCs8JAjwNp/DFn14CI//dLrD791VOT2wKygowAcffIAnn3wSq1atEvzrDGq1GpmZmYiIiMDIkSPh4eGBnTt3cs+np6cjLy8P48eP75TytIfRxODtnZcAmHeK60ZE44m55hQu1Q06MAwjyC1XrxVenZaqnDf9nj3pKDzE8PNsvlL+MjmXS+VxMKMCZXWX95T/X04WADDXV0ygF76/p3n8ZmW9jhuQD1jXF38dw46mJ+EHdvwWjBO51fjphLmM54tqke6mrP1dxbnC2uYTj4cEG5eMQUyg+URdWa8TTEpiu/pY/OfKeEsVtZdWz44da66vvKoG3PH5UQDm/fmQG7P2dwVV9Tpu9R0vmQRPzEnEvEHhTc+Z64AfkFu22LHSndJiZ37vIB852Ou3sjotHv/pDADzhIAdbkjr0ZUwDIP3d2cAMDdOzB8UgeevHgjAPIbVZGr9HFah7vh+xWLrQS4VnsN+OF7Ape9KzqxESQ9KW+PUgVI7d+7EVVddhd69eyMtLQ2DBg1CTk4OGIbBiBEjnPlRnMceewwLFy5Er169UFRUhOeeew4SiQS33HIL/Pz8sGzZMqxatQqBgYHw9fXFgw8+iPHjx7c4caIr2Hgwm8tX5ymTQCIWYfGEOLy6LQ0NOiNqG/WC7iLLqx25R/MsWr3RZHVicsSvp8wtEgoPCeRSieC5YzlVqFTr8NQvZzEhIQjf3t11f1NXqqrX4YvkXADgFiYfHReIkb0CcCK3GkU1jYLEnJb1VV7XfBDLq2pAbFD7x0um5Ndwty27rFKLVSiubcSV75jTAWW8NA/SDvxtdGcL3m1OieQpkyDUV4FrhkXh3V0ZKKppFCSX9hALm+z4g8DVHWwFrW3Uc0tjhVmMgyxr+rsYv3YnTAzw6/KJGBbj36HP667u+7q598FTJoGflwfuGB+Hv8+VoKjpYojfKl7vwgXnNx7MMZfDQwLLfLtldRo899t5/H2uBCtn9cPDs/q6rBxd2Y8nCrj9xEsmgVgswq1jYvH8HxdgMDEordO02uvEjiUHALXWAB95+0OVP88WN72nBL4Wk9aOZFVBJAIe/j4FQ2P88dvyie3+nK7EqUf11atX47HHHsPZs2ehUCjw888/Iz8/H1OnTsUNN9zgzI/iFBQU4JZbbkH//v1x4403IigoCIcPH0ZIiLnpd/369ViwYAEWLVqEKVOmIDw8HFu2bHFJWZyFP67Ay8P8B+0pk3CD8lOL6/Dd0eZmf/bqVK01gGEYQcLOog4kY2QYBrvSygA0DXS1yPReXqfFa/+kAQAOZVa2+3O6u5O5zYvH82fMsYPycysb8MWhHO5xtr4adeZ0NWUWgV1HLPviOHebf3UKmE98Oy6UCu5fjlQWf8fsRKCYAHNAnVfVgL/PFXPPaw0mMAwDk4lBg84gaJ0u6GBex3eaWuYBYYsdK6eingsezhbWduizurOj2VXcbc+mC1e2hbWgugFZ5WrB2rENvGOiM13gTZTwkFr30ZfXafH3OfPY5q8O5zr1s7uTv8827z+KpnRdUokYkU1j3C6WqrHhYDa3Ddtix57D+KuMdDRl0y9NjRNHc6pgsIjEy+u0eHuHeR88zbso7u6c2mKXmpqK7777zvzGUikaGxvh4+OD559/HldffTXuv/9+Z34cAOD7779v9XmFQoH3338f77//vtM/21X4TcL8HHYxAZ4or9Pilk+FOfgatAYcy6nCDR8lIzFcKRhrklfVgD3p5civasB/rxzg0Ewx/jqjtY16QdM5AFSqdbTEGIRrs/Jb5tiZyq9uSxNs36A1QK01YNrru1Gh1nFdSoC5vpIzK7H5WB6eWZCEIBupU+yl8BC2sFaqdYKp/tUN+g69f3eVXS4cOM2Oh4xuChT2X6rAfl7SW4OJgc5owgNfn8TOtDLB+K78qgaU1Grw8l+puHNCHEb2ciwtypmCGu62rZnL53mBRGevsNBVscfECD9PSMUi6I0MZry5V7BNvc6Azw9k44WtF3DdiCjBcyqNHm/+k47ECF/cMiYWjihRNQfypTa67vjL+Q2IcM0sz+6AP0GMbZwAzMF4XlUD7txwVLB9g86AswW1WPjeAfQK8hK02OVVNSAlvwZpxSr876qBDp3DLLvDLVcCqqzXOXXoUlfh1BY7b29v6HTmHy4iIgKZmZnccxUVl/cYkfby5AV24X62U1bU64xcNu+0kjrk8g4uuZUNeO738/jsQLbgJGGPgprm9/GSSayWM6usF46DuFwHe/MDYP4VoWXXGqteZ8Sx7Cquq4K9wgfMgcItnx7GrylFVgGhoywPapX1OhTyxvB9fZm2KFi22LHCW0kJU681YmdT6/W3vASreVUNeOLnM/j9dBEWfXjI4bJ48tIG+XlaX2fzW+me+/38ZRncWSZhZ4+JErHIKrUQq0HbfEzcclI4weWr5Fx8kZyL1VvOOlwW/v5jtFEXZ3j1tf9SBa0iAmHLZmvHxNebsgLkVjbgIi83YH5VA1ZvOYsvknOR7GDPkGWPldU5TK0VzM49lVeNnsCpgd24ceO45bzmz5+PRx99FC+99BKWLl3apce0dWX8ixPLrjVWg84Ag9H2AZ8/5soysWZb+Bm6P7tjFF5ZNFjwvGUajblv7Xfo/XsKtbb54G0wNf/GrdVXTaPtNWT5qWsc7ebjBywPz+yL2UnCmd+Vai0KeQe6TYdyLssB3nUa291zLdUXAORU2k6PUNOgx/5L5e0uC5sGx0MiQu9gH4zvHSR4/mxhDXebYYC9F9v/Wd2V5cB6L0EwbLvO6lsZ+8gPDhwNlAt43YIPTOvDTWpj8VtgAeCpXx0PHnsaI+/c1OIxUWvgxidb4nexW6772hb+Epgbl4zGswuTBM8X1jSC/ydw7QeOX5x1RU4N7NatW4exY8cCANasWYOZM2di8+bNiIuLw+eff+7Mj+rRTLy/NH7Xnp+n7YSK9Vpji2ky+CcdywzcbUktNrfALRoRjQl9gjG5bwgyX56Pt28eBgA4lm19dWM5Du9ywA8U+Acxy8kLrHqtscXs5xm8YNnToiu1LalNLbIRfgqsvKIfArxlyHx5Po7+dyYAc9drdoXwc5OzLr+xkS39jbYW2J0taHl8WwvnozYZjCZcbJql+c8jUyAWi/Dt3WOR+fJ89AvzAWC9jx3o5HVRuwLLFlb+ftFSnbXWUsZvlXH0YvdC0zHxxWsGIdLfE/dPS0Dmy/OxuCnhuGV9/Xmm2PItLgv8MXL8Xgz/ls5hOmOL56eOXDix57D5g8MxvX8oRscFIvPl+fj4PyMBAMdzrc9hlU6ckesuTh1j17t3b+62t7c3PvroI2e+/WWDHygY7LjaaS2JYykvHYO6hZaKlpwvMp/MBkc15/GTiEXw9zLvnDobweS+ixW4ckiEQ5/T3Qnqy9R2fVWotXh/d6bN5/hdBQqZY4EdmwGfvxyVRCwSHEwt1yXdcaEU0/uHOvQ53V1LLXatzRB+7vfzTi9HRrkaWoMJPnIp4oLMCVxFIhEkouYToOU+tjOtDE8vSLJ6r57Msr74w1M8W9hHXvortcX346dCqdMYrMaitoYdzjLYYh9j93Vbx8SimkZu0sDlgn/xxG+caOlidztvUpclwTnMwckw55q6xi2PiQHsOcxGYL87vRzXj4x26HO6GpfkOtDpdCgoKEBeXp7gHzHT6I2ClQhO5Fbj9s+OIL2kDjqDSXAV6csLDnwUrcfhE/s0d+MkhisFSXKBlk9oLWEHwPbirXwBQLCgMwDBTtATx9mZTIxgJmRNgw5LNh7lktPyD2L8VUJaawECgN7B3oJBwoOihImwLdNstIUdBBxnkS5FJhULWjmCfZozsLNXtD1NWZ1G0LXz7G/n8HLTyV7l4H7ANzzWn7s9uIPrubL7V2ygF8QWde1rMd7uplExAMxd9T2x+1yl0QtSXvx4PB/LNh2DWmuwamHlTyjjpwqyZUx886oiturLkR4GncHEDb5nA3GWr8W+vpi3ZGBPPCZqDUbBRIRzhbW4/bMjOFtQC4ZhBOca/tJdbR0TJ/UJ5m7HBHoKjo+A4+cwdiKidX0J968FvMaInnBMdGpgd/HiRUyePBmenp7o1asX4uPjER8fj7i4OMTHu25R5u6EYRjc9tkRjF27kxvrseyLYziQUYGbP0kWXJFcNTQSVw+L5O7zM3XfMDIaD83oI3jv+6YmcLc9ZRIkWCzj4ujVDtucbplDiH8QU3iI8cYNQ/FIU76mynrbY8e6s/U7LmLMSzvx3i7ztPgvDuVid3o5Hv4+BUDzwcZbJsH7tzXna+S3lC0YEoErBwtbMmcOCOWuHAFgVC/h0lYNLSRZbQlbv942cj4pecH4T/eNx1tN3emWs8R6goMZFRj78k78Z8MRMAyDmgYdvkzOxSf7slCh1gparj+9o+XFx6f2CxFcLAHAzMTm1k3+ijDt0aC1vX8BEOTbWnPVQLyyaDA8JObgr6ftY9X1Okx7fQ+mvb6Huzj5v5/OYGdaGd7ZeUlw3Fp1RT9BXk7+7MuZiaFYMjFO8N4Pz2zOI2ervhw5JvIDT2+5sJWPf7E7tV8I/nfVQExtWm2hUt2z6gsAlm06jrEv78DudPOEohXfnsSBjApc9f4BaA0mrudiZmIobuPNIuePkbt5dAwemJYgeF9+QCwWiZAYLpxZ7Og5jG2dtTwmWuaze+/WEXhqvnm8ZE84Jjo1sFuyZAnEYjG2bt2KEydO4OTJkzh58iROnTqFkydPOvOjuq1T+TU4kVsNncGEb4+aWzHZlCHVDXqomnKLeckkeOeW4YKD2LSmLrP4YG+8fsNQrJrdH/fzdgz+FanRxCApQtgC5OhOwQUKMuFOwQ8S2M9g02b0hPEJfAajCe/uMmdQf+PfiwAABs0tQSZT89XpN3ePE7TY8X+nl68bjPdvG4Ftj0zmHgtVKgStqh2tL3YZJVuBAn/cZoS/AkFNV9E98aSz4UA2GAY4mFGJjDI1t3YuAORW1nNjtv5vTn9ckRQmeC178v/8zlH4YukYfPyf5sAv2EcmmNU3zaILWyRCiwPAbannAnHrrkD+305skBdEIhGCvHvmPvbzyQJU1etQVqfFNt4MccDcEsTW16Q+wXiIF6gB4C5ubxkTi88Xj8azFt3UCSE+3O3YQC+r5eEcGZ7C7o9yqdiq255/sdu/KRgJ8mnax3pAoMCXWqzCgYwK6I0MvmzKz8kGQwwD7hwmFgGf3TlK0NU9tqkFNcxXjlcWDcHjcxPx3/kDuOcH8notDEYGSZEWx0QHW+zquWOicB/j719sAwi7fzlz1Qt3ceoYu5SUFJw4cQKJiYltb9wNlak08Pax7uJ0BD9HnbrpgBXuq0BJ05UqO2sxwkZqk0FRfvjnkSmCtCcrZ/XD4axKRPl7cmPfAPNOYTm1vKU0Dy1paOHEw7/aYQ9owV0wUKht0EMqEdlswbIXP7hiq52fFqOgupGrO8s6E4tFOLx6JvRGE/ebJYb74q5J8didXoYbR8UIkphaHsQc7XZQa5vX0rTET0Ysl0q4QLxOa4BGb3RonJGr6Awm1DbqW0xhYS9+K05to15Q/1nl9Sisbnkf++C2EciuqMfASPNFko9cig9vG4E1f1zA2zcPQymv629ItLBrj2HMszGVita7m1jszE0vmy2sze/Brkka5CNDiUrTZfYxhmFQotJwa9y2V4lFffHlVzdw9WUr3dMd4+MwslcgF0yJRCLsf3w6bv7kMO4Y30vwtyQSibi8dyxHuuUbWmj9AYTHRPbvKrgLXuyWqTQI9JZ1aMUZfn2xv0l0gBc3saSg6RwW7quwyjnXO8QHO1ZN4X4bAFg6KR47UkuhVEgFx1ajiUFsoLDXydHJeWwrq+Uxkd9YwV4Ic4F4F9m/APM5WwTYfUxhObXFLikpqUfnq5vx5l48+fOZDr0Hf7Ame1Dht/Kwgz1jA20vK9U/XCkYpyCTivHLAxPx3q3mLsDZTS0Qd0+Jx+g4YdeeI1c7JhPTYjM2Pwhgs/VzLXZd5Oq0QWfA2LU7MGvd3g7l/uLXl4kxj4/kv9u/F0pgNDGQS8UIsZHsN9xPwSUqZj29IAk7H50GPy8PrJhubnFYMCQCfcN8BNs53nXecguQ3iIdjq9CynXtdZWuh6WbjmH0SzuQw0v50h78AewqjV4wAel8kYpb3cPWPuYlk3JBHWve4AgcfmomxvYOwqimBMSeHhJ4SMSCK3/AsTrjWhNsBOL8pKns8YHdx7pKi8LH+7Iwfu0ufH+0Y+OnBfVlGdhVNbZaX2KxCIOj/SDjjcWKCfTCwSdn4N6pCZCIRVw36dj4QNzQNFaR5Uh9qe1sYWX/frpaq/jZglqMeXknHt6c0qH30do4h8UFN9fNiRzzTFPL4x6rT6hS0AghEYuw+d7x+OzO0RCJRLh2uDmh9IoZfayW0KtrZ6+TZS8Gf0xrdFM5uUC8vmvsXzqDCRNf2YWpr++xyuXYFqcGdq+++ioef/xx7NmzB5WVlVCpVIJ/PcGPTQuptxc/UGCvPvgDOX9LMc9wbSmwa8s7twzH1gcn4ZphUZiVFIZ1Nw7FdU07iiMHMf5YCMuuWD62Kyuw6SDWVYKEtJI6aPQmFNdqOrR0lmU6hDqNQZBahk1+GmNjALw9bhgVja0PTsIbNwyFXCrBt3ePxaNX9OM+yxFcIG6jvthB/+xBUyRqnhnWVersQNNC91tOFbaxZeuE+5hBEDgkZ1ZyC3+3Zx+L9PfErkenYv8T0wEAWx+chBevGcRdbDly8dTShRMAJPK65dmghQ0Uqhu6Rn298rc5gfaT7Uj0y2dZXwC4iw4AOFtoPne095i45/+mY8eqqYgJ9MKzC5Lw3MIkjGm66FU70ALEjom0tX8F8iYIDI0xB3bspIGqLlJfH+8zz8TvaAoW/v7EnsP464izS3i1t75eWTQYf6yYhFvHxGJ8QhDevnkYN3nIkf3LaGK4LABerWQYYMc+s/VVXa/vEonA86oaUKcxcMMUHOHUrthZs2YBAGbOnCl4nGEYiEQiGI09bzaXo7RG64MYvzWFbc62tbyQPRQeEsHU7utGRENvNGHLqUKHAgW2NUEsMk+QsLT5nnHIrWzAlKYBwmxwWqfRw2Ri2hXkOFMZr8WjuFYjuEJ0hGX6gjqNXnAi4uqrnd2HIpFIUF8TEoIRE+CFN7dfdLjbga0zLxstCu/eMhx/ninG7eN6cY/5enqgrE7rcBe9K/Dzjjk6G9iSZas4PxBPb8obJxJB0B3kiN68cVu9grzRK8gbn+zLQm2j3qGuvdbG2N02NhYMw2AGb7IG2/LEX+mkJxAEdk3Jvn3kUm4Jw9QO7mOB3jIu8FJ4SLBkYjzSS+pwNKfKoWMie2FsK0iI9PfEWzcNQ7CPnAty2O5Zy1ZId+G3XLPn5PawFYjzj5PN57D21ZdcKsFg3jCHq4dFQSQSYfPxfMfOYYLJLtahzs/3T0BaiYpb0pHdv3RGc2YKdw9PKahuToZdotKgj7/95XFqYLd7925nvl2XxR+TlFtZjyNZVbhhVLRdO4qtncJWcmHLLp6O8JF3oDVBJrX5vcb2DsJYXpZ89iBmYgC1zmA166iz5fEyxJfUajCgqQWkUWfEzycLMH9whOAquyWWeY7qNAarhaQB59YX+15agwk6g0nQzdSa1iZPRAd44d6pwhlobCtTVwgU8nkHMX6gyTAM/jhTjH5hPkgM97X1UiuWLQq2VmXxkUmdevHB/uaOdcW23GKn8JDgrsm9BY9x9dUFAnF+iwa/dQ0AjuVUQa012J0f0dbFrq06c3ScUWvaU1/NQx1s7+vXDBeuSdtcX+7fvwDLLm8D/JpyyhXWNGLfxXLcOCrGrvHjlr1ODMPY7Cp0Zn0p21NfTfuXRCyySpsCACN7BQjWdvaRSyEWmc9hqka92wO7fItzWB9/71a2FnJqYDd16lRnvl2XVarSoFdTXpypr+8BYG7GtZxhZws/u7Zaa4DRxLg+sGt6L0fGJ7TW+mOLwkMCuVQMrcGEoppG+Ia7N7C7wFsXlz+YfummY0jOqsSZghq8dv3QNt/HMrBTafTQ20hq6cyDGP/EUa81QCa1r7WxuUXBvr8d9gq1VKWBwWjq0IDqjmqpvn48XoDHfz4DP08PnH5utl3vpdULE9DaShrrzP0LaN7HHLp44mad27ePsROVqup1aNQZW0zO2xn4S9PJeH83NQ063PBRMgDg1DNXCHKYtUTQwtrUuuXqOuvIMbG1oSl8bC9GbaMedRq9U48R7cFfArJY1cgFdhNf2QXA3BJ59bAom6/l0/HOYSbG3AhgOYYXcE19tWdMpJdMYleji0gkgq+nB2oa9CisaUSIUt7uVk1nuFBseUy0P7Bz+pG8pqYGb775Ju666y7cddddWL9+PWprW16OpztiWziO8JZjym1hLUlLloGCWmOwuVOwrWzOwO5gqcUquwdhspMgAhzowmRPPHPf2o9P92U5WErnOsVbI5dt4ahp0HFLaFmmVWiJdVeswWYgbquVrL08JGLuCjPLzokEOoOJaxmwpyUSaK6v534/j7u/PN6OkjrPqfzmpX3Y79GoM+LtnebcgY6Mk7QcjG/7wsm5J1k2SD6WU2X3a9ixjfYEP+bPMJd565liTHx1l8OTa5zpVF4Nd1trMIFhGDAMg83H8rnH7R2Ebm8vRlsJ2h3B1r8j480q21lf5XVaDHt+Ow67cfm+SrUWuZW8VvGmcxh/qbzMFpY5tGRreIqr9zH2HJZdUW9ztQhb2P3L3uMh0Fxn135wiEtz5S78fczR7nynBnbHjx9HQkIC1q9fj6qqKlRVVWHdunVISEjoUXns1FoD/jxTjJs+Ocw9drawFv/95axgbJcttlqAbDdjO/Egxgs67B2Yzn4PR1JPSHhXN/s6sL6fMxTXNNdDvdaAkloNhj2/nXss3E+B5347h+NtnIitu2L10NvoirVcjaOj2Ekbj/6QYtf27ExJqVgE/zayu7P4s6t3p7u5vmqF9QUAiz48JGgZenvHpTZnYJpMjOBCqU5jaKFbz7n1xY7d29SU18se7GomtmZT28LPlVZVr7P7ROwK7AQUwLyMntZgwst/pWJt04QKAPj+aD5e3HpBsKSULZZjIo0mxub6u86sM/bCqbZRL2jJag07gN3eY6Ifb/kso4nBSd4atZ2Nv38B5n1sV1opFr53gHsss7we//3lrGCfs8XW8BTXDydqfq9vj+S2smUzdv9yZGwmf4WenWlldr/OFWwdE+3l1MBu5cqVuOqqq5CTk4MtW7Zgy5YtyM7OxoIFC/DII48486PcSq014N2mVQhYv6UU4ZsjedyMINZfZ4sR9+SfiHvyT5TUamzuFDoXn3j4Bxh7FxFnD2KhSvsncfADhZzKerfNLDKaGItxVgYczxUGcBdL1fgiORfrd1wUPJ5f1cDV1+70MtsHMRd3xfLl8K6yW8M/6dg7dsxyHKQ7x27xl8lSawwwGE2CrgjAvALIk1vOCv6ujCYGC989gLgn/8RbOy460Jrg3MCOv5/Yu+QXt4/ZOVHKchkk/jjSzma55rBaa8Cn+7MFj312IBufHci2Cmhe/ycNcU/+iaveO2BjX7VdXzKpWDDzsqP4EyDsDZDLVOwx0b5AwTKNTWZZx9L4dAR/CBBg7oL+xKJX5c+zxfjmSB5+4LW6AsCutFLumJhX2WD7YtfGOcyZF7v8c8v21JbXleUrb8c5jD/0qLC60a2zYwXHRHcGdsePH8cTTzwBqbS5QqVSKR5//HEcP+7erh4AeP/99xEXFweFQoGxY8fi6NGj7Xqfeq1BkHuOzzLH1APfNLdUvv5PutWJR9XCgcyZkw9ClQpux/C0c0Aot1M4MLPp9nHNS8fkVzW2urCzK1kexFq72jmYIeweWft38+LhSzYes0p30nLXnnMDBTa/XZidvz/bwurI1emspDDBsnMPf3fKgRI6Fz9QMK8P2nKd8evkUlkdzjblfnxrxyWbXee2xmv5ODkQf+OG5vGaZaq2uyDVWgOX3NXeOhsc5SfI6/Xgd6fcduKxDF5b28csu5He321Ou3GmoBanC2oEgYLWYLL5Xs5uEV8wpHmpRnvT/ZQ72AIkFotw8+jmvHk/nywQDIjvTJaBeL3WYLV+KovfGgsASzc1n7uf33peMNkFMHfr2h6e4syuWA8ufUqgt53HRAdbWAHzCiasCrUWv58ucqCUzsMwjOA459bAztfXF3l51l0l+fn5UCqVNl7ReTZv3oxVq1bhueeew8mTJzF06FDMmTMHZWWON7eqtYYWZw/ZmjHJqtcarK52ahp0Nrti/b2ce+Jh18HjL2bfGnY8SZAD4xP+Mz4Oh56cwd1/4990B0roPFYHMZ2hxZmfluMvLAMKyyCxtlFvFezZep+OuqnphFDdYF9OJfbkFORACo9hMf7Y+eg07r47u2P5gUK9ztBq6yH/xG9Z17ZaWG21oDnyd22P+GBvxASaV2CwZx+rakpaq/AQ270yilLhgV+XTxRcRLhrRrOtFrsof9srUNS3suax0cRY7WPlNhIwtzddUUtkUjEXdNmbI6yyHfvYK4uG4KVrB3H396S7p3vPViDeUhe5uJUJAyqNAVqLuq9u0NlssXP2MfHR2eb8nm0Nd2KxK34E+9hfjhtHxeDUM1dw95/7/bwDJXQey3OMW7tib7rpJixbtgybN29Gfn4+8vPz8f333+Ouu+7CLbfc4syPcti6detw9913Y8mSJUhKSsJHH30ELy8vbNiwweH3qtcauMHclpmxG1s5iInF1iee+74+adXdJpOInd61xzZH23sQY7+fowdU/tVRSwd6V7M8iKm1Ri5QYBP1sixzUlnWj+X9L5Jz8b1FVwUAQeoXZ2B/R53BZNfJm6svO8fX8cUFtS+RqDPxD2T8/SvCT2HVatmg4896FQaAlvWVXlqHh79Psfq8SX2CO1pkK47sY8315fjJb/W85rU1y9X2neScTWPVKm7kWuasj4nNf7+WLTsMY11nc9/ab/V5o+MCrB7rKLblzd6L3eZjomP72HjescGBpYSdylYg3tIxsaG1c5jIevLEqh9Oc7kG+Tq6NKAldv8qt/Mcxh43/Rw8h/Hrt6VWTVezDsQdywHs1MDujTfewHXXXYc77rgDcXFxiIuLw+LFi3H99dfj1VdfdeZHOUSn0+HEiRNcAmUAEIvFmDVrFpKTk62212q1ra6acSS7CpdKzeMyogOEwUtrO4UIIqtmbFs+uG1Em9s4KpDLqm1ftwN7kHa0C8RDIsbjc/sDsJ2yoDM0WuwUF0vqcDTbPMYuOkAYxFjuQJYnHnu+w4SEIMEYEGdQeEi4AcP2ZK5XcauYOF6Oz+4cDcB80G5roLur8C+I9EaGm63oq/CwatHi169lN5q9V7ZsYm1ncmT1FZWNVWfsdROve8/RjPTOYrnf/HO+hEsd0toxsaZBGIjX66x7MWx5YFqf9ha1RYG8lQbaYjIxXHeYo8Nkeof4YEKCObizNyhxNstj4rGcKqSVmCf8WB4T2zqH2VNfb900zPFCtoFtebN3JQ9uH3PwHCYSifD81QObbjv0UqexrK9LZXVILbY/u4hTAzuZTIa3334b1dXVSElJQUpKCqqqqrB+/XrI5c6N3h1RUVEBo9GIsDBhnrmwsDCUlFinvVi7di38/Py4fzExwvUFd6WVcQu/D+At/QO0vlMAsGrGtmWWHfnwHMUGHvakjTCZGKQ0pQtpT6AwJMofgPsOYpYnnRKVBruaZjhZjo20rC/LLgV7DmKvXT+kPcVskyN1lpxpHivYnrFIcUFeEDUl5nTX8mKWLUAfNw3s9vP0sOoaai1QsKf8d02KtzvpsyMcqS82b197xtJKxCKuFchd+5jlcezzA80TJxLDhcNuhPUlrJ8GrbHNiycPiajFdUc7gp1UZk99FdU2gh0R0Z5g3N31ZXlMPJhRyaU/sayvRn3rF0f2HBMtkzU7Q3NCdfPqRq1hGAaH2GNiO85h7Hq/7qsvy+5uPW746HALW1tzSUZSLy8vDB48GL169cK///6L1NTUtl/UhaxevRq1tbXcv/x866431hDe0idAc3ZywHoHEPGasW2N8RkdF4CP/zOyI0VvEdu8bE4m2fqO+eHeTO52e1qigpXm71bhpsWvLXcKPsuuygadUXCQsGqxM7RcX5F+Cqy6op/VFa+zsAcky5OhpbMFtTjZlPOoPQcxqUSMQC+2zrrGiYfl6ymF1GI8awOvVc5y3VR2GSpb43sUHmJcNzwKq5rG6jibP+/E0xqjicFLf5mPibZS59gjuKmby337WMsXsAm8JdcA4TGx2kaLnbaVfeyqoZH4fcWkjhS1RWw3eE1j27/hHZ83T7Rrz+zc5vrqWvsXYOsc1ryt5fhe/nAiW/U1JNoP7906vCNFbRF7bDMxbSeW5qcdas/FE5uCqCvWlz2cGtjdeOONeO+99wAAjY2NGDVqFG688UYMGTIEP//8szM/yiHBwcGQSCQoLRXO0iwtLUV4eLjV9nK5HL6+voJ/gO1m2dZa7GwdMNirw3A/6ynYb908HHMGWpfHGfhj9hZvPIpLTXm3bHn9n+ZJD+0JFPhXVu6YtceuPGCrvmyN++C3Flm2HrRWX49c0Q8PzezbkaK2yq+pZeDB707hr7MtJ1L961zzc/J2LoPjZ2dQ4goMw7QYjIco5egb1loLkLC87Iy+AC8Pq/qfOzAc624aZvfKHI5if8OP92Vh/faLLf7tZ1c0p9fIszOxufVnsevGuidFTWMr+5hl+hZ+fVkG4rUNeu55y30sVCnHO7cMtzrGOgt7bDtXqMKqH1JanXlob6Lwlrh7OTg2eLZVX1a9GLzxXJYTX0QQccfEMBtpetbdOFQw49iZ2NWNAGDJxqM4V9hy1+QrvHyKfu1oYWXrS6M3WU3u6QyaVvYvezg1sNu3bx8mT54MAPjll1/AMAxqamrwzjvv4MUXX3TmRzlEJpNh5MiR2LlzJ/eYyWTCzp07MX78eLvfJ9DGIMxALxmevnIAt6B4YysnnUadERlNAZXlgFXAes1FZ5KIRdxsuoMZlXjql7N2va49aTzYncJgYtrsmnYFNlALsjEtPkQpxzd3jRWMseKX0fJEebFpLKXlgHBAuJSSK7C/Y53GIEibY6mC111Qa+f4E0u+DnQjOputWcYs/6b9a3p/Xn21MsaOzdaeEOIDy7jKw9X1xRt0/fbOS8huIRg4V9g8Zre9q0c40u3rCuyJx9Y+NjzGHzeOiuZOwvxjouUY37OFtTCaGCjlUquWPpfXF++idcvJQnyZnGNzO3tnYdrzWV2xvoJ95Hjh6oGIbAqsG3hdsZb1ZWIYXCpr7RzWOXV2Mq8Gj/14usXt+Nkp2pN2RamQckGVO2aesxe6turLHk6thdraWgQGBgIAtm3bhkWLFsHLywtXXnklLl261MarXWvVqlX49NNP8cUXXyA1NRX3338/6uvrsWTJErvfI8jGtGmxWIS7JvfGJ3eYu1D5O4XlSWdnWhnqdUZIxCIMjhI2fwOAh9i1OwW/Sfp4ru0s6PxuyWAfmWDVCnt5eki47jN3DO5u1Jl3ClvT3EOUckzsE4wvl47hcvqxJx6GYayC8R1NyTD5i0WzpC4MxAHrGZMtdQvwM5Tbs9ajLWxgV+qG+mqt20EsMrcMbFwyBjMTzYvKN+pa7opl8071txg3BMDla+FaDls4V2Q9UxAwj9divXnjsHZ9Frsvl6o0bmkVZ088tvYxsViE164fisfnmlMsCVvshPsXW199w3ysxq658kIXsK6vlhIIF/H2r1vHxtrcpi1sfVWobae3cjX2GGervhQeEvxnfBw2LBkt2Baw3r8OZVZy3f/DY20dE127j/FnrLKTP2xh/3bEIsfSnbDEYhE3ea3UCYG9o9hjYnvKDgBO7ZOIiYlBcnIyAgMDsW3bNnz//fcAgOrqaigU9md/doWbbroJ5eXlePbZZ1FSUoJhw4Zh27ZtVhMqWhPkLUdGC8utsGkz+M3YLY2NMpoYm2uwunpRb37cyDDm8WSZ5Wr4e8qQVa5GfnUDPuNljz/wxIx2LYLMLqZcVa/D9Df24PjTsxDsI0dhTSOMRgaxLk6vwV2d2tgp+MlFvWQSNOqNqG8KFOq0hhbzEFqOQwHsT/bcXv7ewhNPekkd1P4G+Ht54FhONfw8PfD2zotckuVP7xjV7kHm7KSLZ349h2h/T0xPDIVaa0BWuRpDov079D3awgYJErHIalYuf+IEu3/Ua1tuFWf1spGmwOX1ZbFPp5eoUJkQBL2RQVa5GoE+Mry7MwN/NnWrL54Qh6uGtq/big3E/z5Xglf+TsPq+QNgNDE4XVCDgZG+Tl2lwRa2Vby1NZK5YyIvEG/pmBgX5G1VPwoX15dVYFeuhkZvNB+nTAx0BhP+OF3ETeTpH6bES9cMsvVWbWKD1qp6Ha794BB+XzERIpEIaSUqhCkVdq8/215sfZl7lmwHRF4e5jK2Fojz2Uqe7up9zNNiGEWDzoD8qkYEeHkgvbQOFWotNh7M4Y4pJ56+ot3Bpq/CA3UaAxa8ewDJq2cgws8TJbUaNOqNLS5Q4CzsOay9ie+dGtg98sgjuO222+Dj44NevXph2rRpAMxdtIMHD3bmR7XLihUrsGLFina/PtDbA0BzYLd8egJ3u7WdYliMPzfLFDBfTdjKUyd3wUw9Pstm8te2pVktA8RSKqQdOrD6NQV2APDLyUIsnRSPia/sAgCcfm6209OD8LHjWCw/Y3isv+BE5CmTAPXNdcZ2O3h6SBAT6Ml1wwK28xm5+iBmOSlj+4VSfHU4t8WUJJH+7b944v9WD3xzEqkvzMX9X5/A/ksV+PSOUbjCBTO1WWx9+cilgq4qpUKK28b24u6zgYKtdCeW+5itHIqeMtfuX5ZpPnIrG3DlOwe4GfSWOpLnkd/6/vG+LKyePwCbDuXgha0XcOOoaLx2/dBWXt1xbPeUF29/kknEeOeW5oHzzYFd2/UVrJSj0mIiiKsvdC1nRpepNFj1Qwr+OmudKQEw71/tudAFhPvX2cJaVNbrUNOgx9y39iPYR4bjT1/Ryqs7jq0vy3FxSyfGc7c9efuXycRALBZxx8Sh0X44XSAc02ZrUoKrj4lyi3PY+u0XWzyHiUUdS/Tv5+nBrZv7ZXIunpibiCmv7YbOaMLR/850aKkyR/GPie3h1CPdAw88gMOHD2PDhg04cOAAxE1NRL1793brGDtnuWN8HHd7+8op+L85idx9/k5RXNsIk4nhmrH7hArHjrTUc9Leg4a9FBZX8S3tEID1CgyO4q/MUafRQ817v7MFLQ96BcxdotvOFSO/qgE/HM/HrjTHliZjTxDBvAzxt4yJwc/3TRD8xuyJp6imEY06IxeIB3h5WA3Yt3XV196JCvaKtBhMvulQTqt55uxdTN4W/iQZNnDa37Su8Hu7M9p8fUp+DY7lVOFwViU2Hcx2qHuwooUM8SefuUIwoJ6d9FCh1nItP+z/Y+MDBa+1FTRZ/v07m+Vnbj1T3GJQBzTPHm8Py25Lo4nBh3vMs9l/OF7Q5usLaxqx7VwxCmsasW77RatEz60xmRhU1ZvrLIB34jz//BzMHdQ8+Ys9yddpDFwSYHYfs6wvwHoGpqvry1JRrabFoA7oWKBpeSGfVV6PE03rV1eoda0mtgfM3aO/pRSitkGP93dn2EwI3JrKpvriJyP/bflEPLswibvPHg8ZxrwOsZF3DrM189/WeDpXN07IPYTv39o5zMR07JzqzVs3Vq0xQGtoTs3DppdqzY4LpcipqMcvpwrwz/mW/65sqbBxDktyYBKR06eHjRw5EiNHClN2XHnllc7+GLfgX3VZplPg/xGMX7sL43oHct0hARZXDXMGhWNEL38MjfHHad5Vq6sNi/W3Wli9Jc6ciVZWpxXMBjtfVItJfVvO/J+SX4P7vhZOFrj00jy7B+ayBzH+wFMPiRhii7QZbKCw4ttTCPaR45ph5m4xfy8ZwmxcjS2ZGIeNB3O4+66+OrU1E7c1HVnCp7X1L7PaWCTdYDTh1k8PC1pmYoO8MCPRvlY+NhAP8pEjs7x5nJNlfbMnno0Hc7DxYA6emp/IzdrrZxGIh/nJ8e4tw/Egb/1bV7cAOdrC3ZErfsuWl6KaRvQK8uKCZJ3B1Gquvud+O8+NHwWA7Ip6vMtrbWtNTaOeW0GBnz7Isr7YxNJnC2sx5qWduGlUDDKaBt5b1tfASF8MifbHllOF3GOuri/APARBZedFbIRf+1tYLZegzK5QC7oVzxbWYoyNYJf13dE8PL/1Anf/9X/SkfOK/edVdh/rxetCtOzR4B/Ppr2xByN7BXDHFH8vD3jLJNz+NqVfCPqF+WBMXCCO5lRxr7M8xjrboCg/7oKzLb06OORHhObvUtOoFzR2ZLZxTEwvqcNdXx4XPHbh+Tl2z8jnHxNZsYH2//05PbwuKCjABx98gCeffBKrVq0S/OvulLwdwfIKzPLq8nBWFfZeNK+9aTl+4sWrB0EuleC35RNdVFLbnpibiFvGxLTYbx+ilOPFawbh5tExeObKATa3sVc478RT3aAT7BRbz7ScugMAcmykgPjDgcWYuasdXouIrckP/OXEKtRafNaUZDXQWyY46H1z11gAwHMLBwpmZ7r6xDMw0g8Pz+xr1eLLSgjxxtKJ8Vg+PQFrrhrYoYHLtibzsOq0hlYT/9Y26q1mP7+3q+1WPha7pmOIj5z7fafxfmeW5fJvL/9lTmkgFgkP4guGREAulWDh0Eg8zfs7dvWYLQD48LYRGNfb9gk6wMsDo+MC8OYNQ3H7uFibrVb2spxBWt2gE7TYttXKzQ/qAPP+1VbSVxYbPPp7eWBUXMvfwXL/2Hw8n1s+MdKidXPhkEjEB3vjz4eac9a5+sIJAH68bwJuGhVj8zkfuRThvgq8f+sIXDciCnfyemw6qrpBL2gl3Xqm9ePbkWzrFiJHZuuyx8RevDG4luO8xWKR4Dc/kVuN7RfMfyeB3jJ48C4U3rxhKKQSMX64z/6sEs6wYnof3DLm/9s78/Amqu6Pf5O0TZsu6UabFgpt2UvLVpaWXdnLIoIbgqIiiIIKKAIqCvIi6Ov6e1VQFHdBERRFRNlkkUKRrZSyUxahBUr3vU3m90eY6WSfJDNJWs7neXgemtxkbu7M3HvmnHO/p7nFWs8RgUosHJWA8T2aY9HoDk4dK5L3YF1ktIb9ZkV+CtB7PI1ZK8CTzsI6J/hRjO4W5hVziOqx27ZtG0aPHo34+HicPHkSiYmJuHDhAhiGQdeu4pfJcjVqP2988Wh3eCvkJk/D7E1hXAoE0N9A/MRwqRNlLaH288bSsR1RU8dg3SHDiywiUImMlwZZ+KT9vDCsLfZ8oH+yKq0yLOp+2oqGHqCv7WrMkt9OYGzXZoKOzRoKYf5KbJ3dD4cuFZlNUjc2FFiCVd4GLn++Ucg3Dlyx8Mwa3AapLcPwwCemquPbnhsg2nESjQw7rY4xuGZz8ssQ6m9+YjEn4XDoUhEKymsEeRHri6v7YMngRGzMzMXIjlEm7YwTp1mCVT4GT7Zju9bvDFa6+HwNT4rCHe0i0G7BZv3xveScnMumZ/tyXp9xycKuZUso5DIMSYjEn7cW3tKqOm4TEACcuVaGYXbm+f+Zfc0glGqJfO7+8sHIjlGoqtWalb6wdH8BQAhvY1CPuFDO08O/v1xhiLfVBOKNezri+39MReifvrMVnuivz6MeYeZ6tJfX7uqAVzboi8qXVtUapOTYmhONy+oBwJt/nMJb99rOpeSHzqPUvvj28Z6o1eoM5HlY2A1lxgSrfAw8smLXgRWKv9ILS8cmIUCpMAnDeitkoq5hT9/ZinMolFbVGUhhnbtRzs2R5jCnL/n6phOY1CtW0LHrPXY+2PH8AGTk3MSQ1mpMFdh3UT128+fPx/PPP49jx47B19cX69atw+XLl9G/f3/ce++9Yh7KbQxoG4HeFgqI88OxfEJU3ja37kvswTZgSr84yGWGhdDNiU06Q8dmwXhznL7UVkmVoRu7uk5nVeLC3E1RbIfYcX1+gg9aRQTivm4xZnMtLLnFfbzkBpMYP2+EH2pwhaEAAN1ahCBK7Qu1nze6mfE8ioGvtwL/vFw/Kd4orTbI57O0+xSwrM1lzvNqjnyeIR6s8sHElBYmO0wBwN+CoVBQXmOQ7sDfEco/d64I7QH6sWTD+k8OqN9g5UwOpDk+nNCV81SWVNYahBSLHNBLY8OktuDnsMpkMtzbLQatIkzlZfythJ343iJ+tRfD8yVtvhYf1kB6+s76mrQBDu5ItMRDKS1wXze9QV9SWWfgsbN2f+nbm75/1YJCgzGFFTVc6DzE3we9W4VjQNsIs21VVtYwqXU77eHBni3grZChK++Bwt7UFVu0iQzk0hOM1zDAuji4uTmxuk4nWOqmPu9Yibhwf9zfvblFI9Icop6pEydO4OGHHwYAeHl5obKyEgEBAXjttdfwxhtviHkoj4S/oKx8uJvB67byw1xZe72dJgg759yBjyZ2xQcPdkGriABJ6p22jNDncxg/7QD2Gwp1OkZQ+aTiylrODR5mYyHlexQW31Xvts/JL4cPzxDnG4X8W8vXRQuPl0KOjU/3wR8z++G/93ZC64gAQU/q9hIeoOQ80VeKDEMJjhh2l82EI4yp0+qw/pA+r8qcPA0fvmE2qlO0Qakx/g49vqHAP8euMsQBYNm4jtg6uz9m3NEKqfFheLBnc9E1vrwVcsSH199jpZXCDAVLJQUvFwgzFNgwbriN+4t/viKDlHieV8qNv1vR8HzVG1MKF1Zgvye5GbbO7oen72yN6Xe0RKdmaoxxUBPSEjKZjMstLK2qNYhi2BIuNve+uXCfOY7+WwRAP+a21iFW3QEAPuGVt5TJpNcVtIe4cH/seH4APn+kB1Y+3A0tm/jjg/HiRwXjm/DWMKMNRtYeniydT77mqCVKq2o5jT6PECj29/dHTY1+8Y2KisK5c/U1R/PzhSU8NmTqdPUT1IC2TdBOEwiVjwJJzdR4MU2f6/NwagtLH3cpMaEqBPl6Y2THaGyd3V+Ssj1sHmJJZa3Jrjtr9RmLeYvStP4tud2htiYyrY7B0Hd3cX/bYyg0D/PH4330W/+fvrMV90RrLGHBDy268gk2LEAJjdoXceH+2DK7P+5xMpRnCVbP7t9Cw0Ve6CTWv00TLmwlxLB7+ecsLlRpS4yTv+hHq33x6ST9w9PkPnGQ8yqr8PMF+blcrgjt8Y/VKiIAXgo5Vk9Nwet3SyP3xN1jVYYeu2Jr9xfvfLWKCMC0W+FGIYbCxsyr2HBEH56yFWbnG9X+Si+M79EcSi852kfpdfbuYr2a/eu9ZHzPa4ENL5bYtIoIhI+XHHOGtsOGGX3Mhj+dhb1GS6vqDDxAtjx2/HP20q21JLe4yqYHKLe4Eo99oU/iF1J+jh+RSGkZhi7Ng+HjJUdKfBhmDdYb5uMEpsRITbMQFdQqbwxOiMS25wagk5nqQM7CPjCWVplZw6xU+eGfr0d6xaLlLQPR1j2m0zEYt3wv97dHCBSnpKRgz549aN++PdLS0vDcc8/h2LFjWL9+PVJSUsQ8lEfCr3fprZBj3ZO9UF2nQ6i/Dx7oHoPU+DA0d1BAtiHCn8SMd5499c0hTEhpgcl94kw+xz4ZLRrdAZN6xWLf+Zu4WlxlsyDz5YIKA3kJW1Uz+AtPqMoHL6a1xyO9Y9E02A8ymQzp8+802TnG91JILU/jDgJ9vZFfVoOrRYZPlos3ZuPizXK8mNbexEBiz+3QDpH4+KFu+O8f+k0NQjysaw7U5zbZ8gDxz1eIvw8GtI3AvvkDOQMjff5AlFfXGXhqY3gyDVJXCnEH7D1WYuRR2HriOmZ8dwizB7dBvNFGC3aBD1R6Yevs/vj7bD5W7DwnqOD5H8frN11Y8vyx8DeU+SjkCAtQIn3+QM4r/Pa9nTB7cBsDMWn+PZXvhiooUsM3xHW81JLKWi2mfvUP7kluhiFm6oWzOnS/zuiDhOggvP77iVtyJLVW8932na/fdCEkKlTNS5EJVHrh28d7oqJGi/AAJe7q3BSdmgWbiKAHq7xtGqYNFfb+qqrVmcxnM747jIkpLQzSLVjYe3He8HaY1r8lHly5D+dulNu8x/LLqg30Ux3NxxfV5fDOO++gZ0/9DsJFixZh4MCB+P777xEbG4vPPvtMzEN5JMZigv5KL27RkclkiA33N9kOLlXOlCfAPu3U6RiTsizn88uxeGO22Xqa7NMOa1SxY2htZyZg6mWyZXjxjewQf2/I5TI0C1Fxn4tS+5nk4RnvRmxssB4741AsoBfpfHfraZPXS4zOF5s/ddPG+TLOswyyIVrNP19svp1G7csZCgFKL5NcUUefeBsK7JjdLKtGjVHN3Y2ZuRjLe/pnYe+vIDvvrzqtjkvCB2BVUxEw9P6wi2Kovw83T3op5GYrhLC4K0FfSuo9QHUmOVt/Zl/D1K8Pms0l5s+JCrmMk5mxds4YhsG/AsPrLPy8QplMBpWPl8EDV2y4v0muV7KZ0mKNBf6abpzTeKWoEm9sPmlWssxkTrx1jxmLcBvzr9ExHK29K6phFx8fj44d9bla/v7+WLFiBTIzM7Fu3Tq0aOEZIUgpMSepYYv3x3fB8EQNfnTxtnFXwM9pYg07Y1vr+NVi6HQMXtmQhc9uyY04YtgdvFiIiZ/t5/5mw0vWSIiqD9kJ1YAblqjB+B4x+I+DpYU8HdaQzSs2/2R58IK+xvCajEt44cejqNPqTM4XGwLnGwHGlFTVovuSrdzfHaKDuHwxS/DD4kJTUmUyGV67qwMe7Nm8US5ArIFrqZ4l60k5dKkQT35zEJcLKkzP161rv7CixqrkyfTvDnHl6wDgqTtaWWxrjNpPeHBozdQUpCVpuPSVxgS7OaG8xtSwY7laXIXC8hpM//YQ/jp1HTV1Om6nqvGceNPKPfZV+kW8vaX+QUyITmFnB8KZS8clIS1Jg+9uyUI1JrwUcvjeUkiwdI+dyisFwzD4z8ZsTiTc0j1mbQ3LulKMsR/VP4g9InAHrdl+O/xJCxQVFeHHH3/EuXPnMGfOHISGhuLQoUOIjIxE06biJqN6GgtGJiC3uBL3WdBFMkfTYD8sn5hsu2EDhC8Bc61EPwEtHNUBb/15ipvUTuaWYt3Bf7HjlF7z77HesSYeBSE3xZwfj3L/H9Q+AvOGt7PYlqVDdBDGdmkKPx+FYOFIhVyGpWPF32jiKaiMDIUhCZHo3Socr/6il2morNVi5+kbmLf+GABgcIKGy4msX3T0T/jWnk53nLxuqAv1TF+bfZPJZFg4KgGbj+dhTBfhc8nDIuqPeRqsBAx7fwUqvbDrhTvQZfEWrs25G2XcglFZq8Xdt8bO2JugY/S5lOYecoorag3CsD891UtQvcwfp6ViyaYTWDAywWZblpT4MKTEhwlu35DgyuLVaFGn1RvRG6b3xl0f/s21OX6lGFO/PghAr5d24JaEh0xWHxoM89eLeVubE9l7FgDmDG2LUQLqEs8e3AYn80oFtWWJCPTFRxMa5xoG6B92q2pruHts7rB2+OGfy1y06WReKeauy+QqvkzuE2fROWEtirHo1/rz1btVGBY6ocMnqscuMzMTbdq0wRtvvIG33noLRUVFAID169dj/vz5Yh7KI2kSqMTaab1wrx2GXWPH2FAI8vPC+w905t6/cLOcM+oA/YVvr8fOOORgroahOeRyGd65vzOWSJTY3hDxMzlf3gaacgXlNZi0KoP7u6Sy1qGn04ycAovvWeOR3nFYMzVV8Dlu7BjfX4G+Xgjx9zGIHkz/tr6Ky9nrZSZhIm+FnAvBW/Ky/n3OcPOb0N163WJD8dNTvdG1EXpLHYFfU5x9sFH7eRvIrHzPyzsF6r0/gUovLrxta040ft2SoK8xwSof/PBEKh5KafwRNqGwkSf+Grbk7vqIzdWiSoMyftdKqqzMiZY9rPxUIj9v53xuohp2s2fPxiOPPIIzZ87A17c+1yUtLQ27du2y8kmiscIm2l8vZT0K3rizXSS3syvTqG7slcJKgwkPqNcn+rfQ/I6iczfKuBp+gL50GuEYfsbny9cLYQFK/DGzn8HrLPll1SYeVvZ83SirtqhXyCraA3oPK+EYpudLfw5WT0nh8gtZ6QRA/9BjvOgA9eWyLheaz8n6k1frMsjXS3TNsNsFViKpokaLsmr9PBfo64XZg9sgLUm/aeK0kZ4gu8OZLyhcPyeaP1/GlUU6RFuuLENYh33Y5d9jvVqGc+k4xmU6c4tNDTvNrfvL0vn6t7DCQAqlW6xzD0KiGnYHDhzAE088YfJ606ZNkZdnXxFconFgrD7PLv4J0Xp5FePt33wFdvamYDcs8OuI8mG/w8dLjtVTUuhp0wlMzpcvew78IZeZJsybm8TCbpVkYxiY3RxTVavlJsm37u2EDyc0/Ko07sJYdDnoVi6bj5ccrc2IBtfpeDmRPEOB1Zy0VAOTvcfGdm2Kbc8NsFqHlrCMuZSPQF9vyGQyrsi7sZ7g+VvzHt9L3fJWmUFL54uVGmobGYg/ZvZDUjMy7BzFdE7Un0NWIsx4Dbt4s5xTyAjyq58/Af25NJfHyn6HTAZ8M7knnugX71SfRb07lUolSkpMi8yfPn0aTZqY1n4kGj/GCw9bQ9ZSpQvWePP1ri/bxhp2BeU1ZrWD2ATxnnGhSG0Z1ihlSFyFr9H5irrlGfBSyM3Kkdworea29rOTmEwm44Q9z5sxxlnDQiGXYVzXpgbC3oR9GIsua3iF6s151a6XVnPSGUG8HZDx4fp77LwZQxyo1zG8r1tMo9yt6iqMz1eYvw83z9maEw0Mu1v5jRbP1605cWiiBm01pgY+IRxjeSfWu23Ja82eL5msXnIrJlQFL7kMlbVaA0kuFjZPObl5CPq0Dnd6DRPVsBs9ejRee+011NbqOymTyXDp0iXMnTsX48aNE/NQRAOBP5Gp/bwRE2r9plidcQkAEKCsn8T8fBTctnNzeklFFaahJcIxVEa5HfwasubO2aFLhVx4ga8byBqB5hTY2fMV7OdNRriTGHsTkprWC42bMxSKKmq5uqgBBudLH7a1pJjPLjzBZuqLEsJRyGUG3k5b9xcArNip32nJlyIJv2VcWxLJZQ3xYJoTnYZ/j/l6yznvW0Sg0kTlAQB+PKi/v/x96nMivRVyrkyi2TmxUtz7S1TD7u2330ZZWRkiIiJQWVmJ/v37o2XLlggICMCSJUvEPBRHbGwsZDKZwb9ly5YZtMnMzETfvn3h6+uLmJgYvPnmm5L0hTCFf1MkNg3iFvIApZeJ7h9Qf9FXG+VmsZ6/ihotquu02HsuH9V1Wvxv2xm8tjEbAC06YsA/Xz4KOVcCCTBvKPDzQlS88+nPnS+9d+jgxUIUlNdg24lrGPuRfgcgGeLOY+wRNzAUgmwIPvPOFxsirKzR33c5+eU4e70Ul25WYNKqDG43X7Bf49YFdAX8eyzJ4HxZz1vk10pW8eZDQG/g/XOhAHVaHZ5dc5grXk/3mPPwz1f7qCCuNKC3Qm52ExGr2cjmUBp/T0WNFrVaHdLP3URVrRYf7zyH+bdUBmxpeQpFVLkTtVqNLVu2YM+ePcjMzERZWRmSk5MxcOBAMQ9jwmuvvYYpU6ZwfwcG1i9GJSUlGDJkCAYNGoQVK1bg2LFjeOyxxxAcHIypU6dK2i/CcOHhLzqAvn5k2Q39xd8mMsBAcbvGSNXe30eBG9AbCks3ncQXey+YHIsWHefhh2LbagINvAv8hcf4fAGGCw8rw1FRo8Xes/l48NP9MEZNhrjTGIf2+EnyfA9Q02A/FFbUcIYAoPcosHD6atV1qKnT4Y63/jJ7PHp4ch4/bwWKoH+A5c+JkUYeO+N7zJwhzhaWv+/jdJP7EaDzJQb8UGyS0RqmUSu5ahLm5kQ+Kt7D7ntbT+PDHedM2oi1honisUtPT8fGjRu5v/v06QN/f3989NFHGD9+PKZOnYrqaunKwwQGBkKj0XD//P3r9ZW+/fZb1NTUYNWqVejQoQMeeOABPPPMM3jnnXck6w9RD3/bdoJRPVp+Hc9eLcMN3jMWX2cnsvIarVmjDqBJTAxUvEnM+HzxBYKNzxdgmBjOGnnlNXX46fAVs8eiMJHz8Mc8JtTPwEPTjFdOLSE6iKsIwuKv5NVy5RniV4rM79xTesldWm+3saLkPSx1iK6/x4xLICYa7WTl35t8L1JFrdaiQUFzovPwx9pkDVNbnxP5sLWHy6u1Zo06wMNCsa+99hqOH68X1zt27BimTJmCwYMHY968efj111+xdOlSMQ5llmXLliEsLAxdunTBf//7X9TV1btA09PT0a9fP/j41E9qQ4cOxalTp1BYWChZnwg9/KLexuW4nh3YGs1C/DC1Xzx6xIUavFenM/TY1Qt7mldrB4AIG6EMwjYh/vXni90AwXJPcjMktwhB99gQs5U9+N491rtQUa1FhQXJE0vJ4oRw+IaccditQ3QQ7u8WgxZhKjw/pC0nbsvCL3Lvx/MmXLhpPiGfzpc48L2mTXkPtzKZDK/fnYTIICXeu78zV8HFHEovOVfaq9CKXmREIJ0zZ+E/EBnXXZ5xZys0D1VhYkpz9G9rfYMot4bVWl7DIm2kTwhFlFDskSNHsHjxYu7vNWvWoEePHli5ciUAICYmBq+++ioWLlwoxuEMeOaZZ9C1a1eEhoZi7969mD9/PnJzczmPXF5eHuLiDAvNR0ZGcu+FhJjqxVRXVxt4GM3t9CWE0SJMZfb/gF68dM/cOwEABy8aCtYa7whnDYWyavNGAgC0auR1XF0BP5RnvJCHBSix7sleAGC19BRQP4mV19ShzELppFYRdL6chZ/qYFyiSiaT4Y176qukGNf45Hsi+B67CxZ2WtrKASOEEaD04uR+jGuHP9izOR7s2RwATArGa3lhDJlMBpW3AqXVdTiRa6h7x4dvOBKO0ZqXZxxrtIZ1bBaMXS/cAQDIvmrdTuDmRGtrmEhzoigeu8LCQs5YAoCdO3di+PDh3N/du3fH5cuXzX3ULPPmzTPZEGH87+TJkwD0osgDBgxAx44dMW3aNLz99tv43//+51Tod+nSpVCr1dy/mBiqJOEoqS3rSwMFWqkWwMotWIINQ/B17owRUuKIsA7fmDPOieRjvCAZ4895WLU4n28+TETnSxz6ttaHgGzpN/obhfr4OXZ+PvU5dictGArNQslIEIPH+ugdDSnxoVbbGXvMjTUk2bzIQ5fMR558FHKb9ylhm648wXtrUj+25jM2bcJY946PrXVQKKJ47CIjI5GTk4OYmBjU1NTg0KFDWLRoEfd+aWkpvL2Fx46fe+45PPLII1bbxMebF/Dr2bMn6urqcOHCBbRt2xYajQbXrhmqcLN/azQas98xf/58zJ49m/u7pKSEjDsHaRURiJ+e6mWS32NMiI2SN+wk9s+Fes+eQi7DsrFJ+OP4NXRpHmyyQ5BwjJ1zBuBmeY1TT4/sJJZXUmUguLpgZAJO55Wiqk6LPq2t56QQwvhoQlccuFCAAW2sV/CIDVMZlHJT8XPslGyYSGugpD++R3ME+XrhzPUyTL+jvuwV4TgTejZHTKjKJBHfmJgQQ++QsWGnN8yrDebEpKZqjOwYhX3nb+L+7rRmiUGzEBV+mdEb/kovq/JMttYf1mPHP1+AXqR9S3Ye2kYG2lwHhSKKYZeWloZ58+bhjTfewM8//wyVSoW+feuLemdmZqJlS9OcHEs0adLEYUHjI0eOQC6XIyJCP8mlpqbipZdeQm1tLWdcbtmyBW3btjUbhgX0QstKJYlwikUXgXUiXxjWFm9uPgXANEmV9S6wScI9YkPxycPJCFb5UG1ekWkR5o8WYba9aV9P7oGHPssw+x5rKJy5db58veXYMqs/YkJVZtsTjhPoqy/TZ4vnh7bFPxcKOVFbP4NkfP39VatluFDshw92RVqShrQGRUYmk6F/G9vrW6uIAIzqFM1JlxjfO6xhzs6JD6W0wEsj2sPXW4EnzOTAEo7TsVmwoHYLRiZg8S35Lf5mM6DeY87OiZ2aqfH5oz0Q6u+De5KbiddZiGTYLV68GGPHjkX//v0REBCAL7/80mCzwqpVqzBkyBAxDmVAeno69u/fjzvuuAOBgYFIT0/HrFmzMHHiRM5oe/DBB7Fo0SJMnjwZc+fORVZWFt5//328++67oveHcI6nBrTC0A4afLo7B08NMJyY2E0YrDZQ+6hATvCRcA99WzfBycXDsHTTCQxKMDQs2HPDnq9mISoy6txMRKAvtj8/AJ/tyQFgmBoRoPSCt0KGWi2D0lvnrHtcCBl1bkQmk+F/47vgvm7NsDX7Gh7pFWvwfojRPZbcIoR2LbuZyX3iMCQhEh/9dQ5T+hrm9rM7Xtn7q01kIEJF8tAZI4phFx4ejl27dqG4uBgBAQFQKAwvrrVr1yIgQPxEaaVSiTVr1mDhwoWorq5GXFwcZs2aZRBGVavV+PPPPzF9+nQkJycjPDwcr7zyCmnYeSgtmwRg6dgkk9dbRRqWxSGjzjPw9VZg0V2JJq+3NgrjhpDsgscwuU+cyWsKuQwtmwTgZF59fh3pQnoGfVs3Qd/Wph6+VhEB2H0mn/ubpE08g5hQldk1rI1R7Waxwq7mEF2g2ByhodaTRB2la9eu2Ldvn812HTt2xO7duyXpA+Ea2hoZdmQoeDZhAUqEB/hwKuxkiHs+bSIDOcMuQOllIF9DeB6mcyLdY56Mcc1eKc8X3blEg8BYakHKpx1CHJrwNLRKLNQgJTwHfqUK43JIhOdhXKlCqrAeIQ7G8lFSlnsjw45oEBiLq1IuiefD8HS3zNUFJjwLCuU1LIw9PvSw69kYe8Cl9IiTYUc0CIz1mO5sZ13agXA/Op5h9/LIBDf2hBBCKM9QmD24jRt7QgiBf75CVN708NTAGNkxSrLvJsOOaHC00wTCW0GXrqfD190iMWLPJ4gXGhrfo7kbe0IIIZhX/m/e8HZu7AlhL00ClZJGnWh1JBocxqWRCM/EWFCV8Gx4DlbK12oABPI8dF5yWsobEl4Sr2F0NRANBtbrM0JCFzYhHqM7RQMA2huJTROeSevIeokaenjyfPgag3SPNQzYaiN3d2kq6XFkDD/DmTBLSUkJ1Go1iouLERREN5C7uF5ShfTzN5GWFEWh2AZAdZ0Wm7Py0LtVOMIDqJJLQ2DHyevQqH3JUGggnMwrQW5RFe6gnOMGQX5ZNf4+m49hiRoovewLxdpjh5BhJwAy7AiCIAiCcBf22CG0jUYArO1bUlJioyVBEARBEIS4sPaHEF8cGXYCuHnzJgAgJoaKzRMEQRAE4R5KS0stVvliIcNOAGxJtEuXLtkcUEI4JSUliImJweXLlynELSI0rtJA4yoNNK7SQOMqDe4aV4ZhUFpaiujoaJttybATgPzWVnK1Wk03iAQEBQXRuEoAjas00LhKA42rNNC4SoM7xlWoY4m2FhIEQRAEQTQSyLAjCIIgCIJoJJBhJwClUolXX30VSiVpcYkJjas00LhKA42rNNC4SgONqzQ0hHElHTuCIAiCIIhGAnnsCIIgCIIgGglk2BEEQRAEQTQSyLAjCIIgCIJoJJBhRxAEQRAE0Uggw44gCIIgCKKRQIYdQRAEQRBEI4EMO4IgCIIgiEYCGXYEQRAEQRCNBDLsCIIgCIIgGglk2BEEQRAEQTQSyLAjCIIgCIJoJJBhRxAEQRAE0UjwcncHGgI6nQ5Xr15FYGAgZDKZu7tDEARBEMRtBMMwKC0tRXR0NORy6z45MuwEcPXqVcTExLi7GwRBEARB3MZcvnwZzZo1s9qGDDsBBAYGAtAPaFBQkJt7QxAE0fDZkp2H2d8fBWPmPRmAd+7vhMEJGld3iyA8kpKSEsTExHD2iDXIsBMAG34NCgoiw44gCMJJtDoGb+04AJlSBUvJLW/tuIwxPVpDIaf0F4JgEZIO5tGbJ5YuXYru3bsjMDAQERERGDNmDE6dOmXQpqqqCtOnT0dYWBgCAgIwbtw4XLt2zaDNpUuXMGLECKhUKkRERGDOnDmoq6tz5U8hCIIgbpGRU4Dc4iqrbXKLq5CRU+CiHhFE48GjDbudO3di+vTp2LdvH7Zs2YLa2loMGTIE5eXlXJtZs2bh119/xdq1a7Fz505cvXoVY8eO5d7XarUYMWIEampqsHfvXnz55Zf44osv8Morr7jjJxEEQdz25BVXitqOIIh6ZAzDmEtx8Ehu3LiBiIgI7Ny5E/369UNxcTGaNGmC7777Dvfccw8A4OTJk2jfvj3S09ORkpKC33//HSNHjsTVq1cRGRkJAFixYgXmzp2LGzduwMfHx+ZxS0pKoFarUVxcTKFYgiAIJ/ls93ks/u2EzXYLRrTH5L7xLugRQXg29tghHu2xM6a4uBgAEBoaCgA4ePAgamtrMWjQIK5Nu3bt0Lx5c6SnpwMA0tPTkZSUxBl1ADB06FCUlJTg+PHjZo9TXV2NkpISg38E0ZDQ6hikn7uJDUeuIP3cTWh1Deb5jbgNCA1QitqOIIh6GszmCZ1Oh5kzZ6J3795ITEwEAOTl5cHHxwfBwcEGbSMjI5GXl8e14Rt17Pvse+ZYunQpFi1aJPIvIAjXsCkzFy/9fAyFFbXca5ogJRaO7oBhiVFu7BlB6NEE+YrajiCIehqMx2769OnIysrCmjVrJD/W/PnzUVxczP27fPmy5MckCDFYuikbT313yMCoA4C8kmpM++YQNmfluqlnBFFPj7hQRKmtG21Ral/0iAt1UY8IovHQIAy7GTNmYOPGjdixY4eBMJ9Go0FNTQ2KiooM2l+7dg0ajYZrY7xLlv2bbWOMUqnkpE1I4oRoKGzKvIqPd+VYbTNv/TEKyxJuRyGXYXQny95jGYBXRyWQ1AlBOIBHG3YMw2DGjBn46aefsH37dsTFxRm8n5ycDG9vb2zbto177dSpU7h06RJSU1MBAKmpqTh27BiuX7/OtdmyZQuCgoKQkJDgmh9CEBKj1TF4/sejNtsVVdRi37mbLugRQVhmc1YuPrHyEDK1XxylDRCEg3i0YTd9+nR88803+O677xAYGIi8vDzk5eWhslK/BV6tVmPy5MmYPXs2duzYgYMHD+LRRx9FamoqUlJSAABDhgxBQkICHnroIRw9ehR//PEHXn75ZUyfPh1KJSXmEo2DfedvoqJGJ6ht+vl8iXtDEJbR6hgs+jXbbMUJll+O5pJnmSAcxKMNu+XLl6O4uBgDBgxAVFQU9+/777/n2rz77rsYOXIkxo0bh379+kGj0WD9+vXc+wqFAhs3boRCoUBqaiomTpyIhx9+GK+99po7fhJBSEK6XV44Cm8R7oPEiQlCWjx6V6wQiT1fX198+OGH+PDDDy22adGiBTZt2iRm1wjCwxDu3UhtGSZhPwjCOtdLrRt1LFuy8+haJQgH8GiPHUEQwkiNDxfULkDphZR4WiwJ9xERKEzCZNXfF2gXN0E4ABl2BNEISGkZBpWPwma7/m3MG4AkaEy4ih5xoVD7CQsW0S5ugrAfjw7FEgQhjC3Zeaio0dps99uxPBy8uB0LRydwuw43Zebi5Q1ZKCiv4dpFqX3x6qgEQTsTa+p0+Dr9Ai4WVKBFqAoPpcbCx4ueGQnL1Ak01thd3L1bC/NIEwTRwGrFuguqFUt4Mlodg+T/bEGRkSixNWQAlk/sisOXCi1q37Ft+MadVscgI6cA10urEBHoi+0nr+GzPTngr9NyGTClbxzmp5GcEGHK32fzMeHT/YLbD0+MxPKJ3STsEUF4PvbYIeSxI4gGzr7zN+0y6gD9VotZaw6jss7ycx0DYNGv2RicoIFCLsPmrFws+jXb5o5GHQPOWCTjjuCzOSsXs3+wrbfI5/esa9iclUu6dh6I8YNej7hQQaLSjn6OEAYZdgTRwHn552MOfc6aUceSW1yFVXvO49ClQvyedc1mez6f7M7Bc0PaUViWAKA36qZ9c8ihz87+4SgCfb2REh9GBoCHYO5BL9BXgcUjO+BmZa3F1Axzn7Mn9YOwDYViBUChWMJTWfLbcazcfcHd3bDIS2ntMaVfvLu7QbgZrY5B72XbkFdS7dT3kAHgGWzOysWT3xwSJLLET82w9DnWVDdO/SDqoVAs4RGQu11aaup0+NSDjToAOHDhJhl2BDJyCpw26gC9B3naN4cwa1BrxIb707ziBrQ6BvPWHxOsnMmmZugYBhsz88x+joHeuOOnfhCOQ4YdIQnkbpeer9Mv2CFL7B5UPjTFEMJFiYXy7tYz3P81QUosHN2B5hUX8cH2M3bn9ALAp7utz1cM6iuOkDC1c1DyCyE6rLvdOMk+r7gKT35ziERHReJiQYW7u2CTcV2bubsLhAcgVJTYEfJKqjGN5hWXoNUxWLXH/C56Wwh9CBX7IeB2hAw7QlSsFfhmX1v0azaJjopAi1CVu7tgFV8vOXq1Iv0xQi9KrAlSSnoMEjOWnoycAhRX1Ul6DCkfAm4XyLAjRMVWgW++u51wjshAaRdKZ/nvvZ0oV4YAACjkMrwyUlrpG1bMmLCfmjodPtt9Hq9syMJnu8+jpk5ntp2z3jRbs4EMQHKLEKeOQVCOHSEyQm98crc7h1bHYMnvJ93dDauEB3i24Um4lhB/6a+H9PP5VKVCAPyNbVuyr2HTsVwDkfElm06YFRl31ptmy5/KAFj+1zk8O6i1U8e53SHDjhAVoYt5zo1yiXvSuLHlGfUErBnvxjumk1uE4ODFQtpB3YjJK3HF9UrXjC2ECI1bEhlnQ+pi7HC2xLtbT6OtJoA2wziBqIZdSUmJ4LakB9ew4S/M4f5KQAbkl1XjusDJ+9M9OXh6YGtavB3ENYukc1h6uje3sMhkAF9RUxPka1DPlmj45JdKZwyw0G5K69ijPwcAK41ExhVyGRaO7uCw0LRQSPbEOUQ17IKDgyGTCTsRWq3tguWEZyK0tJQ1yqrrqLi3ExSUSb9IOkOA0gs94kJNXre0sBjLpOeV6PXKVniwYCnpNApnc1Yu3tlySvLjdI81veYIPVodg+d+OGqXRJKO0csqTe5br0U5LDEKKyZ2xdx1mSiulGYjBcmeOIeoht2OHTu4/1+4cAHz5s3DI488gtTUVABAeno6vvzySyxdulTMwxIuQqtj8MH2s3h362lRvo/yYRwn1N/H3V2wSt/WhqWftDoG+87dxGw7F5b564951JM7a8xtyc7Dz0euoqC8hnuPdBrN40wpMXuZ9f1hfDgh2SXHamjMXHMI5TX2O1TMySoNS4yCv48XHlqVIUbXzEJ52I4jqmHXv39/7v+vvfYa3nnnHYwfP557bfTo0UhKSsInn3yCSZMmiXloQmI2Z+Vi4S/HRc6t8IzFuiFyycM17K6XVGPWmsMY27UZSqvqsPg3xzy8hRW12Hf+Jnp7gGyKrXuArYrgyV5GV8PKH7mK347lYdjRqxjVKdplx2wI1NTpsDEzz6HPmpNV2pyVi3nrHKtRLZQL+Z49x3kyksmdpKeno1u3biavd+vWDRkZ0ln5hPiw4TOxE2aPXi402Fav1TFIP3cTG45cQfq5m6RJZQGtjsHqjEvu7oZVDl4qwk9HruKhVRl46jtTsWp7SPcACQvW6yTkHpj9w1G6dm/hjk0+T68+TGLFRjhTpSbcSFaJXQ+KKu2vPmEPaw5covvIQSQz7GJiYrBy5UqT1z/99FPExMRIdVhCZKwJDjvL7rM30XbB71i6KRubs3LRe9l2jF+5D8+uOYLxK/eh97LtNEGbQay6mw0H907uWh2D2T8cFdy+okaLZ9cclrBHDQd3hdOEiKDfTg+SzlSpeY03llKuB8aQ3qnjSCZ38u6772LcuHH4/fff0bNnTwBARkYGzpw5g3Xr1kl1WMIOjJO/O8cE47v9F3GxoAItQlV4KDUWBy8WSvrEzXDb6k3L1DSEBHp3IHSxVHnLUVFrXmi0IZEa794w7P9tO40KO3OTNmbm4p37dNxuQk+EzXtMP58PQIbUlmFIiQ8TNZ/RHi1DGcQz4W0l399utawrqh3f5HCzvIYbS1d7YCnPzjEkM+zS0tJw+vRpLF++HCdP6oVUR40ahWnTppHHzgMQsrN1yaYTGNDG/blNnpZA7060OgbXBXrrPn6oG07mlWLJphOi98OVRuNfp6+7bZONVsfg092O1cZ8cX0m3rqvMwB9jtPX6RcMHprcafRtyszFnB+PGiTTf7DjLHy95XhrXEeM7NxUlOPsO58vuG37qCCcyC0Rzbj7MzvPrGG3KTMXT31nupmjseZIanUM/sx2LL+OhTWwtjr5PfZC5cUcQ1KB4piYGLz++utSHoJwAKFaRjoG2H5K+MQsFa5MoPdkCQt98n62YA07uUyGx/rEYdXfOcgrrhJlwZTLgCl94/DCsPZ47ocj+PnIVRG+1Tqf7cnBnKHt3GIIZeQUOLSTEAB+yczFG/d0wpubT2Dl7hwDZf///HYCj/eNxUsjOojUU+Es3ZTNic8aU1Wrw4w1R/Dz0Sv4dFIPp46j1TH4xMJxzDGua1M0DWnltJQSy+d/X0DPuFADI21T5lXMWG09TD5zzWEcfiUCfj4Kp/vgCew7fxMlVc7Ji13Ir4BWx+CnI1dE6pVtotS+ZiWTCNuIathlZmYiMTERcrkcmZmZVtt27NhRzEMTAnFljoSYpJ+T3rAz58XUBCkxvkdzxIb7u9XQc0QyIr+8Ggq5DK+OSsCT3xyyGOoKUHqhzEaopn/rcPRr08TA09QsxHS3nBSY09JyFc6EgmrqdHh29WFsPGaaJ8oAWLn7AnLyy502oOxhU+ZVi0Ydn60nbmDsR39j7bReDl/v+87fRLWFmqPGyADu2hqcoEFGTgGuFlZg4cZslDpRdJ4vdKv31NnOfayqY9D+lc14op9pSa2GiBibjz7edQ7dYkNQUC7thgk+oztF2XXtefJDuasR1bDr3Lkz8vLyEBERgc6dO0Mmk4ExVh4FIJPJSKDYTTSEUlTmMHcdiYklL2ZeSTXe3XqG+9sdeThaHYN56+2XFmDDGMMSo7B8YleLOUUArHpwLS1wqS3D8MGOs3b3yxGcSf52hgv5zpW+M2fU8dl64gYWb8zGgpHSGxBaHYOXfhZ+HR26VITkxVuwbFySQ9e7PQbFiKQog+oG+hBqGPx9veyqlGBMbnEVvvg7B5cKyvFVun07yc2V1PI0hORJi5G5WFGjxdfpF53+Hnv45WguXhjWXpBxZk6KKETljSVjEpHW8faTvhHVsMvJyUGTJk24/xOeR0NNRpWyhJY9Xszc4io8+c0hLHdhHs7/tp1GUYV9T8ohKm+DMMawxCjOE2Luidac4Rfq743/3GV5YkyJD4PKR46KGulz7cxpaUmNVsdgxc5zkh/nsz05SG4egrSO0l5PGTkFKKywz/tVVFnrxPUuzKBQyIH3x3cx+56lhxJ7WPyb4zmmxiW1PAmhedLDOkSIcry/Tl8X5XuEIrT6hKVoRmFFLZ767jCe+LfIo41zKRDVsGvRooXZ/xOeQ7i/8F1qnsS2E9eh1TGSuNbt9WIycF0tw81ZuXhvm/1eMXNLar0nxBRbhp85FHIZ3rqnk6DwljPIALSJDMSGI1cQEeiL5BYhOHixUPKQy/9tO41KF20QWbAhC0MTpb2eHH2oc/R6T40Pxwc7bBvGT99hvWY0/9rMK67EyxuyUF7tmoiPO9MArGFPnvSmLHEMsqpaHUL9fQyqrUhNXnGl1feFRDM+3pWDTs2kf3DyJCTbPPHll18iPDwcI0aMAAC88MIL+OSTT5CQkIDVq1eT4ecuGmjKQVFlrWS1Ax1Z8FxRy9DRECwAFFXYP17WDD9LpHWMxhP/FgnK23IUlY/CoHSRca6gJkiJhaM7iOpB1Xvrzov2fbbgS0pIgVbHIL/Uce1DR6734krbBoDKR4GnB7a22Y5/bV4qqDBIj5Aad6UBWMKdedKdY9TYfvKGy463bNMJFJTXIFjlg4LyahRV1kLGk+bZd+6moGjGyy54cPIkJDPsXn/9dSxfvhyAvgrFBx98gPfeew8bN27ErFmzsH79eqkOTVgh38OLx1vDHgPMnkRaR7fUSx3WdiQEy8dVYff5aQno1CwEz689IokEivGuVHN5kGLLVNiT+C8WUp0vISE7Ifx+SyxciIdUq2Pw4s9ZNr/zrXs62b3YzrizNVb9nSNZAXpjYkL8XHIcobgzTzojp1BQu2CVt1NzF8u1shqzofQPdpxFsMob3gph106BxA9OnoZkht3ly5fRqlUrAMDPP/+Me+65B1OnTkXv3r0xYMAAqQ5L2KChhmIB4QaYveKjyS1CHOqP8VgKNSaFtHM0BMvHlRpQaR2jMDRRg7s/+huZ/xY79B0KAHKFDLVax3wR80TUO3RHGTMp7k2hITshfJV+EV+lX4TazxuP9Y7FjDsth1CFPpSoVd5290Mhl+GNcR3t3iXuKO00QS45jlCkeADwlgG1Ai4SW7vnAWDBiPZ4pHcctmTnYfYPR+0W9xaKvYZjQ80vdwTJMkIDAgJw86Z+cvzzzz8xePBgAICvry8qK63HzaXiww8/RGxsLHx9fdGzZ8/bs2atGz3RKU5oEgnVNGIXMuMn2rxbmx7MlShb/peDBhRvLDdn5aLPG4Yl0fq8YVoSTUg7rY7Bwl+OO9anW6h8FC7XgFLIZbjLieLrWsBhow7QT/T7RDPIXB/o2p8jnjGp1TH4+0w+Zv9wVPRfUlxZi3e3nkHHRX9gU2a9jmFNnQ4rd53DXR/sEfxQ4qgBPThBA5WLdOY+3+tZGwGleGDr4uDDrTlCA5RQyGUYlhiFYwuHYubA1vD1gM0nt5PYsWQeu8GDB+Pxxx9Hly5dcPr0aaSlpQEAjh8/jtjYWKkOa5Hvv/8es2fPxooVK9CzZ0+89957GDp0KE6dOoWICHF2DTUE3BWKjVL74tspKXhz8wmH8rGEaBpZyz1hoLfDjJPAtToGH+9yLJeKHUuLUilGO2iFthOjFmyam/JJHkqNdWgXoljlpNLP54tSpcIdY/d/28+inSbIbJK3PZUr7BWydpTyai2e+u4wHr14EzdKam1Ku5jHsbOekVMgmSfImL9O3UBNneeUh+sRFwofhQw1TjwEGROs8hHtuwp4a4xCLsPMwW3w9MDWJuXrDuQU4L1trsmVDPX3ua3EjiW7Uj/88EOkpqbixo0bWLduHcLC9LHtgwcPYvz48VId1iLvvPMOpkyZgkcffRQJCQlYsWIFVCoVVq1a5fK+uBOxn1q85TLMHNgKU/rGWWwjA/DqqAQo5DLMT0vAideGwc/bvkvvh38u479/nMRbf5zC32fzzRbstpV7wsC0sPQH2884vEBEBPpCq2PwnAWvCHPr34s/HUNljdaq0QnUFy7/87gjC2Q9MgCvj3WPALiPlxzJLYLt/px4S5TzBplWx+D7A5dF6Iv9PPWdqVd56aZstFvwOxb/dgJfpV/E4t9OoN2C37F0U7bJ51npB6mNOj6f/33JQaPO8TrArgyrsTtjPQm5iA8echnQTUyPnb+pkaiQy9C7dTieH9oOzw9ti96twvHUHa1EO6YtxnSOvm02TgASeuyCg4PxwQcfmLy+aNEiqQ5pkZqaGhw8eBDz58/nXpPL5Rg0aBDS09MFf095eTkUioZdZqZDhBKBSgVKRZILWDE+CSnx+ieh9hF+WPz7GRTych80QUrMG9IKfeOCUF5eL/a69K72mPmj8HBjYUUdPrwlnfDBjrPwlgOTezfHU/3iuBv2cr6w3K7L+cXoqNEbZZ/tcSzMovbzQocIJcZ9tMdmyamC8lp0X7IFZVbGnDU6/zr+L1Zn2CekaswjqTGora5ErRucs1odg8s3he8i1AQpkRgVgK2nxAlD6rS1BteZI2RcKBTkMR3YNhTbThXYbGcv89ZloleLQL2czNZz+Dzd1MjUMXoZh4v5ZXjzbv1Dk1bHYN466xV/PAmllxxJGl+HzleQt2tD5WevFTt9XYlFxoVCVIm4SUnHAHHB9uc6WiJYCUFjlXFB2EYMMegbr/aY8+co9vRfxkgo6b979258/PHHOH/+PNauXYumTZvi66+/RlxcHPr06SPVYU24evUqmjZtir179yI1NZV7/YUXXsDOnTuxf/9+g/bV1dWorq6f2EtKShATE+Oy/kpNUK/7EdL3Iae+g2EYaEvzcWXFZIDhTTIyOZTNOkAREAJtWSGq/z1u+D4PvzapCB34BLyCHA+d6bS1yP/lLVSe/hvKmCRoHlxq8zOFu75BSfoawe3NUZlzBDX5OQjqNgYyme0nQYZhBLUr+nsNgns/4FCfGJ0WJQd+QtFfXzj0eTEQOqZlJ/ag7PBvqP73OMKGz0RA0p1OH9viNWknwXdOhrr73TbbFf29GsG9pYk+5K15CQAQed9iQCazeu1oy4tRlr0d2pJ8hA6cIkl/pKD8xG7k//KGYx+WydF02mdQBIZBJpM+RFqw9ROUHvxF8uMIQej1aQ83fnkTfq16IiChv8PfwTA6aEtvCr7/VO37ocnoFxw+nrA+iTMneBLFxcUICrK+oUeyO2LdunUYOnQo/Pz8cOjQIc5QKi4uxuuvvy7VYUVh6dKlUKvV3L/GZNQBQEn6WmgrShwu08V+rmDHKtObhdGh+vIxVJzYherLx6zeTJWn03FlxWMo2PqJQ/0AALnCG03GzEP43S+i+t/jNn8XwzAI7DwUyuYdoWrb26FjMgwDv7jOUHe/W5CxBkBwOy+1ffmeDMNAV1uNgm0rcentcW416gBAESAspFN5Zi93fdSViiOgKpPJ4BXUBMpmHZz4EjkCEu4Q1LTq0jHUldyQpNxdxN0vQvPAEsjkcpvXjsJfDXX3uxuUUQcApUd+d/zDjA4F2z6B1LvBGIYBo9Oi9PAmSY8jGJkcAZ2Gi/612rJCVJ7db7uhBfT3gEx/TgQaUNoy13js7OlTY0Eyj12XLl0wa9YsPPzwwwgMDMTRo0cRHx+Pw4cPY/jw4cjLy5PisGapqamBSqXCjz/+iDFjxnCvT5o0CUVFRdiwYYNBe0seu6tXr9q0lBsKW07cwKwfjzuV2zQ+ORovp7Vxui9aHYP+7+xFYaVzukcPdo/ChiPXUO6iagFSMDKxCTZm2ScA+t49HTC4fROJemQfGRcK8ejXR222+/yhTugRqzcC9+UUYvI3tj8jlDfvbo8RiZEOfVZo/wHgn7l98Z/fT+PnzGsOHet2JsBHgb1z+jid97T0jzP4JuOKSL0yz6OpMXh+UEtJjyGU//11Hit2O5eqYUyoyht/zeqFg5eKBF/7xvh6y7HsrvZ2zUNaHYPB/7cP15wQzrbFQz2aYt5Q2wLYDYGSkhJER0cL8thJlmN36tQp9OvXz+R1tVqNoqIiqQ5rFh8fHyQnJ2Pbtm2cYafT6bBt2zbMmDHDpL1SqYRSaaop5e/vD39/f6m76xLGdPOHr6/SKeHSf0tqRBuPsV2b4rO/Lzj1Hd8dcG7TgSdQqxO+0AX7eWHZuI4uq1krhH7tVYhSn0JecZXZhwYZAI3aF/3aN+UW9QEJKqh8jolWcza3VOvwdbnrnPCcyw1Z+Qjyv30kFMTk8b7xCAoMcPp7RnSKEcWwU/kozG6i8vdRoGfLJh4x7284fEV0ow4A/jMmCUGBAejX3h+aoJMO7cjv1zocY7rF2v25RXd1kFSPMK1TjEecOzHQaoXnxUsWitVoNDh71lTLaM+ePYiPd33dvdmzZ2PlypX48ssvceLECTz55JMoLy/Ho48+6vK+eArDEqOwZ+6dWD0lBe8/0Bk9Yu3bDh4bJl5h9kEJGtG+qyGz/aSwsOTMga1xcMEQjzLqAP3ut1dH6QtuG5uo7N/sDmn+Z6aKWIvz3a2nzeoV2kKrY/DjoX8Ft2elRwj7iWsizmLbIy4UUWrHjevJvWOxekoK3rqnk9mgbkWN1qL+pSuZ8tUBPPv9EdG/94l+cZy8jkIuw8LRjqUx7D1XYFapwBbDEqMwa5A0HjWh2qeNEckMuylTpuDZZ5/F/v37IZPJcPXqVXz77bd47rnn8OSTT0p1WIvcf//9eOutt/DKK6+gc+fOOHLkCDZv3ozISMdCNo0FtgbjXZ2b4lk7b7AX0xJE60ePuFAEO6BC39gQEkX+4IEumDm4jcdu3x+WGIXlE7tCY7TgatS+nFafMXFNnPfe8Jm//pjdC01GTgFKq4Q/FbN6coT9iCW7xH+QsIcotS9WTOyKBaM6oEdcKBb/JkyKyB0s+e04tmSLk4fKEqBU4KMHu2C+0Rw+LDEKMwfaL0NSVl2HD7Y7JvQ+487W0ASJ7/leMCLBY+dIqZEsFDtv3jzodDoMHDgQFRUV6NevH5RKJebMmYPHH39cqsNaZcaMGWZDr4SelPgwBPkqUCJgcRvYLgJ+Iiu/S7hBu1ERFuj5ZeGGJUZhcIJG8nq9liisqMW+8zfRu5XwHdf2aKPJZeBEgif3aYHP9lx0pJsexciOUdiYKb1nSmxPCuv1eXerMLHb6Xe0xOzBbblr0R79S1fXGq2p0+HT3Rfs/lywnzeKzOQsB/t541Eb5eAcfcj6fG8OZtzZym5jSu8pTBCt9B1LiBk9vdsFyQw7mUyGl156CXPmzMHZs2dRVlaGhIQEfPzxx4iLi3Pp5glCGAq5DG/e08lmzkOLMD989kh3UY+dkVPgsqLeDZ2GUvOQ9QYLgQ2piVncfO/ZfLsMu/AA4Qbz5D5xXCWCBSMTceBCITL/LbH5OaWXHNV1nrW5h817fP+BLmga7OtQZRh7kMKTEhsuPLTbp1UTg+MLvZ+M2wmtDe0MX6dfsNvYmdI3DvOGt9dXsCmuREF5DUIDlNAECeujow9ZRRW1Dhu/rJffOOc71N8bd3WK1l+f287YlYfbUOZJKRDdsKuursbChQuxZcsWzkM3ZswYfP7557j77ruhUCgwa9YssQ9LiMSwxCismNjVYvHmR3s3x6ujkkQ/7u18E9qLPQZIQ4ENqYn51H7ggp3iwQIPnNw8GC+NMAxh/TKjLxZvzLYpeP3+A51RV6fDjDVH7OubRBjnPc5PS8BzQ9rhy705yMgpQHlVLQoqapFzs0I0g1QtQcqFUGMkzExpqXB/YfdTzo16gdjNWblmjZD/3JWItI6O10s2ZvcZ+3bId41Rc9emo97F5BYhkMv0wsX24sw8bsvL3yLM366NFrdTbVhjRDfsXnnlFXz88ccYNGgQ9u7di3vvvRePPvoo9u3bh7fffhv33ntvg6/e0Nhhb7C9Z/Kx7vC/qKjRontsKCb1slyf0llu55vQXnRuyvWRGktP7X7ecvSIDUXzMBW+3id8V2B2bgm0OkawF2X7SWGyJQ/3ijX7+oKRCZg7rB1eXJ+JTVl5Bg9GUWpfvDoqgcsvPPxvET7bc0HQ8cQkQKkwqICiMeoXoC8LN6VfS0zpVy/xodUxeP6HI/jpyFWn+5B+zr4QuRCEenwX35Voej0IdLJ9te8inh7YGluy88w+gBSU1+Kp7w7jiX+LTHLXHEGrY3Dwkn1ab6evl9l1zZvj4MVCh4w6wPl53JqXn3U6zF2XaTW6w3qgb9eNE4AEht3atWvx1VdfYfTo0cjKykLHjh1RV1eHo0ePChZpJdyPQi5D37ZN0Leta/TResSFwt9HjnKRJC/ERKwC9WKxP6cAfdt4hm6d2Fh7atfqGKw/fAXlAsvhlVVrsfdMPk5fL+V2sLJ5ccZszsoVLLdjbfHy8ZLjrfs64417rIfpXkxLwDf7Lrk8LLv8wWR4ecntDh8q5DI0DfETqRfi301CPL78HaB88suEyXsUlNdg75l8PL820+ov+HhXDjo1CzF7LHuwdzMPoL/mnc0FdNTr5opdqOz88L9tZ/DeNtOcSks77283RDfs/v33XyQnJwMAEhMToVQqMWvWLDLqCKso5DI83jce729zbGeVFMgA/N/4Lnh90wlRc7+cx5PMTPGx9NSukMswpU8c3rPjGnn48wyD0Vqy6QSm9I0z8KjU1Okwf/0xQd8ndPGylV+YkVPglly7gsoa3NW5qUOfTY0Pxwe36jU7Q2q8uN46Fmt5WtZCpPZ4mSZ9kSHIm7VgQxaGJmqsGhc1dTp8uTcHBy4Uwt9HgbFdm6FXq3DuM44aWM6mtTjqdXuge3OXGFMKuQwzB7dBu6hAk3NtzgN9OyK6YafVauHjU78bxcvLCwEB4koZEI2TZwa2wcrdOWZz+9zB1H5xGNUpGgqZDC9vyEJBeY27uwRAuoWxIfD0rWukXOA1YrwG6xhwmwPmpyVgc1Yunlt7VLAX8P5uMaIsXu7KKXUmVJbSMgxqPy+nNjkFq7yRIuHOUnt3YwO3pJb8FCiqtH0NCA1R3iyvseo5W7opG5/syjG4Pn86chUqbzneub8zhiVGOXyunA2H9ogLRaCvwm5vYXGla+dHR8717YLohh3DMHjkkUe4yg1VVVWYNm2aifrz+vXrxT400cBRyGV45z7ru3IdTeq1B7kMnFdnc1Yupn8n7jZ8Z5B6YfR0FHIZ3rZxjQhh5e4cJDYNxtOrD9v1uVqtOF42V+eUipF3pJDL8FjvOMGyIuZYNjZJ8oXXnt3YbPuB7SOx7pDz+YN8LBnvSzdlW9x5XFGrw7RvDmHFxK4YnKBBlNrXYhUXc4gRDlXIZbinazN8vtc+CZ8NR67iJRdrx9l7rm8XRM+EnzRpEiIiIqBWq6FWqzFx4kRER0dzf7P/CMIcbIKsJshwp5rSS4Zn7miJM0vSsGJiV0QEiLOzbnBCBE7/ZzgWjGiPh1NbYMGI9ji5eDjmpyVAq2Ow6FfzwqXuwhULo6czLDEKk3vHOvUdOgaYvz7T7s9dLap06rgs7M5De5BBL049a1AbqH3tfyYXI+9IqKyI0svwOJogJVZYEKf2BPyV4u/UNbfbtqZOh08EyMnMu5UaYKmKiyXEyi0b0sH+88R6KQn3I7rH7vPPPxf7K4nbDFsudvb9Z1Yfwm/HrOshaoKUeKB7c3yx94KBYGegrwJLxyRh5K18o8lmSlrZEi51JUovGd5/oIvHLoyuZlCCxunawmUCw698okXaQODIzsNnBrbGyM76PLEZd7YyuD8+3X0e2yyUozPekesMQj2Nqyb1gFwuazAhMilKw81YfQhLxhjm9gnVpSuqqMW+czcxLDEKU/vFYeXuHFjTbw9ReWPp2CTR5gdHdSVJtsozkEygmCCcwZaLXSGX4cMJyaj56oDFcjsyAAtHd8CwxCg8PbC13bkYecXOe2fE2lH7yYRu6N8+QoRvahz0iAtFZKAPrpW6Nq+nl0j5jfYugMEqbzwzsL7kn/H9kdoyDJU1Wry+KRs5+eXw81ZgaAcNmoaoRDWq2AXfUniQDfmmtAzzaEPOmIdSY/Gf306I6p0vrNDLn4zKysWgBA0iAn2x67RwXbr08/kora41ycXjMzxRg4kpLZASL+5483cZA8LnMJKt8gzIsCMaNCsf7o5fj17Fiz8dQ2lVfVK3sZfCkVwMZzdLjOkcjTfv6YTlf53Dqj3nUczrX4jKG2O7NhWsZeblLVlZ5waJQi5D39ZN8OOhKy47ZoDSS7T8RnsXwEd7xdlcuP18FFg8RnzxcD78Bd/4oaUhS034eMnxeN9YrHSgfJctfs3Mw6+Z9ldaOnu9DOsOXbFqVB25XIQPHuwqyXhb2mVsDtKO8yzIsCMaPKM6RSMtKUr03VGhTlZ4uLdbDHy85Hh2UGuT0BnbP50O+HzvBZvfJVRr63ZCpXTt9HVft2aie76Ehrpiw8UPFTqKpQW/oUtN3NlOI4lh5yh7zubbTBeQuoYtPy1mS3YeVv19oVEZ9I0VMuyIRoEUu6M0QY6HFQKUXkiJr++Ppf4N6aARZNhRiMMUKfKirDE4QSPad7GeL6G7ez2tjFxjlJrwtPwwoTmgeSXS9pudu1JbhqFHXGijM+gbI2TYEYQFnClML9S7IzRniUIcpkiRF2UJKVT1hyVGYWRSJDYeE1DKzJO2Zt+isUlNNNSHpwIXevMbo0HfGKHEHYKwAOtVcQSh3h3+MYynRgpxWMfHS44RSZGSH0cGac6BVsdgz1lh8hD55RSKl5oecaEIUTU8X0eov4/tRiLCGvR3dW6K1Aa2SeZ2gQw7grCCI5pp9np32JwljdrQY6BR+2K5B2t/eQKx4dJWtYmS8Bxk5BQYSPBYo6F6kxoSCrkMSyTefCIFGrVYNXyJxkLDezwhCBcT5CdcvNRR7w6FOBxFuvEZ1iESH05IluwcCJXTCfbzplC8i0jrGI0n/i2yWBnC06BrgzAHeewIwgpaHYPVGZcEtXXWu0MhDvuRMsdrkgCJEWcQKqczqH0EXQsuZH5aAj56sCtUDUBiiK4NwhzksSMIK2TkFCCvxHZ+0z1dm+GNezrSJOtiUuLDoPJRoKLG/ioS1ghWSe8JESqn07t1E0n7QZiS1jEKQxM1+N+2M3hvm+O1caWGrg3CHJ7/SEIQbkRouKx3K/KwuQtvhfjjLkQQ2FmEyuk4I7tDOI5CLsPMwW2wYmJXRBnlv3rKrU7XBmEO8tgRhBWEhsucrVJBOEZGTgGKK+tsN7SDAKUXZtzZStTvNIcQOR0pZFYI+zCX/5rcIgQHLxbiemkVrpdUY8mmEy7vF10bhCXIsCMIKwgNlzlbpYJwDClEZXvEhbjE+2qtHidJ3XgW5jT72L+1Ogbvbj2FihqdS/v0QPfmdG0QZqFQLEFYgcJlno0UMiAZOYXQ6lyjCExSNw0fhVyGqX3jXX5cTyozR3gW5LEjCCsICZe5ItGeMI9eVNYbhRXC9OCEUFZdh33nbqJ363DRvtMaJHXT8IlrIq2eojlI25CwBHnsCMIKCrkMoztZ95oUVdRiS3aei3pE8FHIZRjbpano35t+Pl/077QGSd00bFxpZMlA+XWEdciwIwgraHUMNhy5arPdol+zXRa+IwwZJLB8W4BSgTGdowV+KxlWhHBYz76jV02U2hdT+sbZ/DzlXhJCIMOOIKwgVMcut7gKGTnC6n4S4sIuqrZ4c1wn3NstRtB3Nqbi9oT0WKv5bAu2Ws1LIxJw6j/D8VJaOwxJiESP2BCEqgzrwFLuJSEEyrEjCCvYs+tSih2ahG34u0st+Uyf6BeHtI5R0OoYBKu8UWQlJy9E5Y2UeDLsCPtgN8Is+jXbICc3Su2LBSPa4/S1Mny65zzKqrUG7706KoEz1Hy85JjSryWm9NO/r9UxlHtJ2A0ZdgRhBXtyZyiZ2X1YWlRD/b3xn7sSkdZRH4JVyGVYNjYJ025JjJhj6dgkWjwJh7C2ESYNwNMDW9tlqJmTWSEIW8gYhqHEIBuUlJRArVajuLgYQUFB7u4O4UK0Oga9l22zGY6NUvtiz9w7ySBwM0I9HJuzcrHwl2zklRh6VvjeE4IgCE/BHjuEDDsBFBcXIzg4GJcvXybD7jZkS3YeZn1/1Gqbd+/vhMECk/gJz0CrY3DwQiFulFWhSYAvkmNdI0xMEARhLyUlJYiJiUFRURHUarXVtmTYCeD8+fNo2bKlu7tBEARBEMRtzOXLl9GsWTOrbSjHTgChoXq9oEuXLtm0lAnhsE8g5AkVFxpXaaBxlQYaV2mgcZUGd40rwzAoLS1FdLRtySYy7AQgl+tVYdRqNd0gEhAUFETjKgE0rtJA4yoNNK7SQOMqDe4YV6GOJdKxIwiCIAiCaCSQYUcQBEEQBNFIIMNOAEqlEq+++iqUSqW7u9KooHGVBhpXaaBxlQYaV2mgcZWGhjCutCuWIAiCIAiikUAeO4IgCIIgiEYCGXYEQRAEQRCNBDLsCIIgCIIgGglk2BEEQRAEQTQSyLATwIcffojY2Fj4+vqiZ8+eyMjIcHeXPJalS5eie/fuCAwMREREBMaMGYNTp04ZtKmqqsL06dMRFhaGgIAAjBs3DteuXTNoc+nSJYwYMQIqlQoRERGYM2cO6urqXPlTPJply5ZBJpNh5syZ3Gs0ro5x5coVTJw4EWFhYfDz80NSUhL++ecf7n2GYfDKK68gKioKfn5+GDRoEM6cOWPwHQUFBZgwYQKCgoIQHByMyZMno6yszNU/xWPQarVYsGAB4uLi4Ofnh5YtW2Lx4sXg79WjcbXNrl27MGrUKERHR0Mmk+Hnn382eF+sMczMzETfvn3h6+uLmJgYvPnmm1L/NLdibVxra2sxd+5cJCUlwd/fH9HR0Xj44Ydx9epVg+/w6HFlCKusWbOG8fHxYVatWsUcP36cmTJlChMcHMxcu3bN3V3zSIYOHcp8/vnnTFZWFnPkyBEmLS2Nad68OVNWVsa1mTZtGhMTE8Ns27aN+eeff5iUlBSmV69e3Pt1dXVMYmIiM2jQIObw4cPMpk2bmPDwcGb+/Pnu+EkeR0ZGBhMbG8t07NiRefbZZ7nXaVztp6CggGnRogXzyCOPMPv372fOnz/P/PHHH8zZs2e5NsuWLWPUajXz888/M0ePHmVGjx7NxMXFMZWVlVybYcOGMZ06dWL27dvH7N69m2nVqhUzfvx4d/wkj2DJkiVMWFgYs3HjRiYnJ4dZu3YtExAQwLz//vtcGxpX22zatIl56aWXmPXr1zMAmJ9++sngfTHGsLi4mImMjGQmTJjAZGVlMatXr2b8/PyYjz/+2FU/0+VYG9eioiJm0KBBzPfff8+cPHmSSU9PZ3r06MEkJycbfIcnjysZdjbo0aMHM336dO5vrVbLREdHM0uXLnVjrxoO169fZwAwO3fuZBhGf9N4e3sza9eu5dqcOHGCAcCkp6czDKO/6eRyOZOXl8e1Wb58ORMUFMRUV1e79gd4GKWlpUzr1q2ZLVu2MP379+cMOxpXx5g7dy7Tp08fi+/rdDpGo9Ew//3vf7nXioqKGKVSyaxevZphGIbJzs5mADAHDhzg2vz++++MTCZjrly5Il3nPZgRI0Ywjz32mMFrY8eOZSZMmMAwDI2rIxgbIGKN4UcffcSEhIQYzAFz585l2rZtK/Ev8gzMGczGZGRkMACYixcvMgzj+eNKoVgr1NTU4ODBgxg0aBD3mlwux6BBg5Cenu7GnjUciouLAQChoaEAgIMHD6K2ttZgTNu1a4fmzZtzY5qeno6kpCRERkZybYYOHYqSkhIcP37chb33PKZPn44RI0YYjB9A4+oov/zyC7p164Z7770XERER6NKlC1auXMm9n5OTg7y8PINxVavV6Nmzp8G4BgcHo1u3blybQYMGQS6XY//+/a77MR5Er169sG3bNpw+fRoAcPToUezZswfDhw8HQOMqBmKNYXp6Ovr16wcfHx+uzdChQ3Hq1CkUFha66Nd4NsXFxZDJZAgODgbg+ePqJem3N3Dy8/Oh1WoNFkIAiIyMxMmTJ93Uq4aDTqfDzJkz0bt3byQmJgIA8vLy4OPjw90gLJGRkcjLy+PamBtz9r3blTVr1uDQoUM4cOCAyXs0ro5x/vx5LF++HLNnz8aLL76IAwcO4JlnnoGPjw8mTZrEjYu5ceOPa0REhMH7Xl5eCA0NvW3Hdd68eSgpKUG7du2gUCig1WqxZMkSTJgwAQBoXEVArDHMy8tDXFycyXew74WEhEjS/4ZCVVUV5s6di/HjxyMoKAiA548rGXaEZEyfPh1ZWVnYs2ePu7vS4Ll8+TKeffZZbNmyBb6+vu7uTqNBp9OhW7dueP311wEAXbp0QVZWFlasWIFJkya5uXcNlx9++AHffvstvvvuO3To0AFHjhzBzJkzER0dTeNKNBhqa2tx3333gWEYLF++3N3dEQyFYq0QHh4OhUJhsrPw2rVr0Gg0bupVw2DGjBnYuHEjduzYgWbNmnGvazQa1NTUoKioyKA9f0w1Go3ZMWffux05ePAgrl+/jq5du8LLywteXl7YuXMn/u///g9eXl6IjIykcXWAqKgoJCQkGLzWvn17XLp0CUD9uFibAzQaDa5fv27wfl1dHQoKCm7bcZ0zZw7mzZuHBx54AElJSXjooYcwa9YsLF26FACNqxiINYY0L5iHNeouXryILVu2cN46wPPHlQw7K/j4+CA5ORnbtm3jXtPpdNi2bRtSU1Pd2DPPhWEYzJgxAz/99BO2b99u4opOTk6Gt7e3wZieOnUKly5d4sY0NTUVx44dM7hx2BvLeBG+XRg4cCCOHTuGI0eOcP+6deuGCRMmcP+ncbWf3r17m8jxnD59Gi1atAAAxMXFQaPRGIxrSUkJ9u/fbzCuRUVFOHjwINdm+/bt0Ol06Nmzpwt+hedRUVEBudxweVEoFNDpdABoXMVArDFMTU3Frl27UFtby7XZsmUL2rZte9uGYVmj7syZM9i6dSvCwsIM3vf4cZV8e0YDZ82aNYxSqWS++OILJjs7m5k6dSoTHBxssLOQqOfJJ59k1Go189dffzG5ubncv4qKCq7NtGnTmObNmzPbt29n/vnnHyY1NZVJTU3l3mdlOYYMGcIcOXKE2bx5M9OkSZPbWpbDHPxdsQxD4+oIGRkZjJeXF7NkyRLmzJkzzLfffsuoVCrmm2++4dosW7aMCQ4OZjZs2MBkZmYyd911l1lJiS5dujD79+9n9uzZw7Ru3fq2kuUwZtKkSUzTpk05uZP169cz4eHhzAsvvMC1oXG1TWlpKXP48GHm8OHDDADmnXfeYQ4fPsztzhRjDIuKipjIyEjmoYceYrKyspg1a9YwKpWqUcudWBvXmpoaZvTo0UyzZs2YI0eOGKxj/B2unjyuZNgJ4H//+x/TvHlzxsfHh+nRowezb98+d3fJYwFg9t/nn3/OtamsrGSeeuopJiQkhFGpVMzdd9/N5ObmGnzPhQsXmOHDhzN+fn5MeHg489xzzzG1tbUu/jWejbFhR+PqGL/++iuTmJjIKJVKpl27dswnn3xi8L5Op2MWLFjAREZGMkqlkhk4cCBz6tQpgzY3b95kxo8fzwQEBDBBQUHMo48+ypSWlrryZ3gUJSUlzLPPPss0b96c8fX1ZeLj45mXXnrJYGGkcbXNjh07zM6nkyZNYhhGvDE8evQo06dPH0apVDJNmzZlli1b5qqf6BasjWtOTo7FdWzHjh3cd3jyuMoYhicFThAEQRAEQTRYKMeOIAiCIAiikUCGHUEQBEEQRCOBDDuCIAiCIIhGAhl2BEEQBEEQjQQy7AiCIAiCIBoJZNgRBEEQBEE0EsiwIwiCIAiCaCSQYUcQBEEQBNFIIMOOIAiCIAiikUCGHUEQBEEQRCOBDDuCIAiCIIhGAhl2BEEQBEEQjYT/B26CIoZ+WsBIAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sm.tsa.seasonal_decompose(df.High, period=252).plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d5f5f57",
   "metadata": {
    "papermill": {
     "duration": 0.01994,
     "end_time": "2024-01-29T05:54:12.808247",
     "exception": false,
     "start_time": "2024-01-29T05:54:12.788307",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Seasonality feature engineering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "af72bd1a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:12.853270Z",
     "iopub.status.busy": "2024-01-29T05:54:12.852335Z",
     "iopub.status.idle": "2024-01-29T05:54:12.863625Z",
     "shell.execute_reply": "2024-01-29T05:54:12.862085Z"
    },
    "papermill": {
     "duration": 0.037269,
     "end_time": "2024-01-29T05:54:12.867146",
     "exception": false,
     "start_time": "2024-01-29T05:54:12.829877",
     "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": 22,
   "id": "9ffaf8b3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:12.911152Z",
     "iopub.status.busy": "2024-01-29T05:54:12.910690Z",
     "iopub.status.idle": "2024-01-29T05:54:12.933455Z",
     "shell.execute_reply": "2024-01-29T05:54:12.931679Z"
    },
    "papermill": {
     "duration": 0.049521,
     "end_time": "2024-01-29T05:54:12.937377",
     "exception": false,
     "start_time": "2024-01-29T05:54:12.887856",
     "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": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "47063ec4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:12.982564Z",
     "iopub.status.busy": "2024-01-29T05:54:12.982076Z",
     "iopub.status.idle": "2024-01-29T05:54:12.991767Z",
     "shell.execute_reply": "2024-01-29T05:54:12.990133Z"
    },
    "papermill": {
     "duration": 0.034944,
     "end_time": "2024-01-29T05:54:12.995020",
     "exception": false,
     "start_time": "2024-01-29T05:54:12.960076",
     "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": 24,
   "id": "1f8dc060",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:13.044389Z",
     "iopub.status.busy": "2024-01-29T05:54:13.043899Z",
     "iopub.status.idle": "2024-01-29T05:54:13.068680Z",
     "shell.execute_reply": "2024-01-29T05:54:13.067268Z"
    },
    "papermill": {
     "duration": 0.054064,
     "end_time": "2024-01-29T05:54:13.072705",
     "exception": false,
     "start_time": "2024-01-29T05:54:13.018641",
     "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": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0ff3bc8",
   "metadata": {
    "papermill": {
     "duration": 0.020533,
     "end_time": "2024-01-29T05:54:13.113920",
     "exception": false,
     "start_time": "2024-01-29T05:54:13.093387",
     "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": 25,
   "id": "9ead78bd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:13.156802Z",
     "iopub.status.busy": "2024-01-29T05:54:13.156367Z",
     "iopub.status.idle": "2024-01-29T05:54:13.166063Z",
     "shell.execute_reply": "2024-01-29T05:54:13.164930Z"
    },
    "papermill": {
     "duration": 0.034479,
     "end_time": "2024-01-29T05:54:13.168881",
     "exception": false,
     "start_time": "2024-01-29T05:54:13.134402",
     "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": 26,
   "id": "53f85dc8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:13.214083Z",
     "iopub.status.busy": "2024-01-29T05:54:13.212909Z",
     "iopub.status.idle": "2024-01-29T05:54:13.219408Z",
     "shell.execute_reply": "2024-01-29T05:54:13.217885Z"
    },
    "papermill": {
     "duration": 0.032397,
     "end_time": "2024-01-29T05:54:13.222159",
     "exception": false,
     "start_time": "2024-01-29T05:54:13.189762",
     "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": "fcf6e062",
   "metadata": {
    "papermill": {
     "duration": 0.027318,
     "end_time": "2024-01-29T05:54:13.270198",
     "exception": false,
     "start_time": "2024-01-29T05:54:13.242880",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Train NN models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "00845aea",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:13.315324Z",
     "iopub.status.busy": "2024-01-29T05:54:13.314876Z",
     "iopub.status.idle": "2024-01-29T05:54:13.726670Z",
     "shell.execute_reply": "2024-01-29T05:54:13.724540Z"
    },
    "papermill": {
     "duration": 0.438743,
     "end_time": "2024-01-29T05:54:13.730516",
     "exception": false,
     "start_time": "2024-01-29T05:54:13.291773",
     "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": 28,
   "id": "1afd2d34",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:13.774672Z",
     "iopub.status.busy": "2024-01-29T05:54:13.774129Z",
     "iopub.status.idle": "2024-01-29T05:54:14.072408Z",
     "shell.execute_reply": "2024-01-29T05:54:14.071087Z"
    },
    "papermill": {
     "duration": 0.32413,
     "end_time": "2024-01-29T05:54:14.075280",
     "exception": false,
     "start_time": "2024-01-29T05:54:13.751150",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.keras.utils.plot_model(model, show_shapes=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "ce698fc0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:14.120778Z",
     "iopub.status.busy": "2024-01-29T05:54:14.120350Z",
     "iopub.status.idle": "2024-01-29T05:54:17.302451Z",
     "shell.execute_reply": "2024-01-29T05:54:17.301295Z"
    },
    "papermill": {
     "duration": 3.209276,
     "end_time": "2024-01-29T05:54:17.305607",
     "exception": false,
     "start_time": "2024-01-29T05:54:14.096331",
     "status": "completed"
    },
    "scrolled": true,
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/20\n",
      "6/6 [==============================] - 1s 70ms/step - loss: 1167.1906 - mean_squared_error: 1372230.5000 - mean_absolute_error: 1167.1906 - mean_squared_logarithmic_error: 1.1101 - val_loss: 1213.6663 - val_mean_squared_error: 1476206.8750 - val_mean_absolute_error: 1213.6663 - val_mean_squared_logarithmic_error: 0.9444\n",
      "Epoch 2/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 1083.4193 - mean_squared_error: 1183030.7500 - mean_absolute_error: 1083.4193 - mean_squared_logarithmic_error: 0.8599 - val_loss: 1124.7302 - val_mean_squared_error: 1268091.6250 - val_mean_absolute_error: 1124.7302 - val_mean_squared_logarithmic_error: 0.7362\n",
      "Epoch 3/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 995.4473 - mean_squared_error: 998732.6250 - mean_absolute_error: 995.4473 - mean_squared_logarithmic_error: 0.6556 - val_loss: 1023.1110 - val_mean_squared_error: 1049235.1250 - val_mean_absolute_error: 1023.1110 - val_mean_squared_logarithmic_error: 0.5502\n",
      "Epoch 4/20\n",
      "6/6 [==============================] - 0s 13ms/step - loss: 901.6035 - mean_squared_error: 819916.1250 - mean_absolute_error: 901.6035 - mean_squared_logarithmic_error: 0.4878 - val_loss: 913.8425 - val_mean_squared_error: 837410.8750 - val_mean_absolute_error: 913.8425 - val_mean_squared_logarithmic_error: 0.3978\n",
      "Epoch 5/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 799.6017 - mean_squared_error: 645673.1250 - mean_absolute_error: 799.6017 - mean_squared_logarithmic_error: 0.3494 - val_loss: 800.8879 - val_mean_squared_error: 643648.8125 - val_mean_absolute_error: 800.8879 - val_mean_squared_logarithmic_error: 0.2785\n",
      "Epoch 6/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 695.0671 - mean_squared_error: 489336.6250 - mean_absolute_error: 695.0671 - mean_squared_logarithmic_error: 0.2418 - val_loss: 686.9108 - val_mean_squared_error: 474010.3125 - val_mean_absolute_error: 686.9108 - val_mean_squared_logarithmic_error: 0.1880\n",
      "Epoch 7/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 589.6619 - mean_squared_error: 353916.4375 - mean_absolute_error: 589.6619 - mean_squared_logarithmic_error: 0.1610 - val_loss: 572.4388 - val_mean_squared_error: 329799.1875 - val_mean_absolute_error: 572.4388 - val_mean_squared_logarithmic_error: 0.1206\n",
      "Epoch 8/20\n",
      "6/6 [==============================] - 0s 10ms/step - loss: 483.9365 - mean_squared_error: 240468.3750 - mean_absolute_error: 483.9365 - mean_squared_logarithmic_error: 0.1011 - val_loss: 457.4624 - val_mean_squared_error: 211346.6406 - val_mean_absolute_error: 457.4624 - val_mean_squared_logarithmic_error: 0.0716\n",
      "Epoch 9/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 377.5798 - mean_squared_error: 148851.7031 - mean_absolute_error: 377.5798 - mean_squared_logarithmic_error: 0.0583 - val_loss: 341.9434 - val_mean_squared_error: 118974.9531 - val_mean_absolute_error: 341.9434 - val_mean_squared_logarithmic_error: 0.0375\n",
      "Epoch 10/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 270.6575 - mean_squared_error: 79867.0625 - mean_absolute_error: 270.6575 - mean_squared_logarithmic_error: 0.0293 - val_loss: 225.6549 - val_mean_squared_error: 52957.8867 - val_mean_absolute_error: 225.6549 - val_mean_squared_logarithmic_error: 0.0156\n",
      "Epoch 11/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 163.4122 - mean_squared_error: 33593.6211 - mean_absolute_error: 163.4122 - mean_squared_logarithmic_error: 0.0116 - val_loss: 109.2842 - val_mean_squared_error: 13792.2842 - val_mean_absolute_error: 109.2842 - val_mean_squared_logarithmic_error: 0.0038\n",
      "Epoch 12/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 81.3535 - mean_squared_error: 10591.8623 - mean_absolute_error: 81.3535 - mean_squared_logarithmic_error: 0.0035 - val_loss: 35.9196 - val_mean_squared_error: 2094.8628 - val_mean_absolute_error: 35.9196 - val_mean_squared_logarithmic_error: 5.5868e-04\n",
      "Epoch 13/20\n",
      "6/6 [==============================] - 0s 10ms/step - loss: 73.6342 - mean_squared_error: 7064.0864 - mean_absolute_error: 73.6342 - mean_squared_logarithmic_error: 0.0022 - val_loss: 53.2703 - val_mean_squared_error: 4275.1138 - val_mean_absolute_error: 53.2703 - val_mean_squared_logarithmic_error: 0.0011\n",
      "Epoch 14/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 82.5130 - mean_squared_error: 9189.0117 - mean_absolute_error: 82.5130 - mean_squared_logarithmic_error: 0.0027 - val_loss: 59.6725 - val_mean_squared_error: 5139.0132 - val_mean_absolute_error: 59.6725 - val_mean_squared_logarithmic_error: 0.0013\n",
      "Epoch 15/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 81.1223 - mean_squared_error: 8811.8623 - mean_absolute_error: 81.1223 - mean_squared_logarithmic_error: 0.0026 - val_loss: 46.4991 - val_mean_squared_error: 3432.3674 - val_mean_absolute_error: 46.4991 - val_mean_squared_logarithmic_error: 9.0497e-04\n",
      "Epoch 16/20\n",
      "6/6 [==============================] - 0s 12ms/step - loss: 74.2965 - mean_squared_error: 7188.5903 - mean_absolute_error: 74.2965 - mean_squared_logarithmic_error: 0.0022 - val_loss: 35.6706 - val_mean_squared_error: 2090.6465 - val_mean_absolute_error: 35.6706 - val_mean_squared_logarithmic_error: 5.5844e-04\n",
      "Epoch 17/20\n",
      "6/6 [==============================] - 0s 14ms/step - loss: 70.2094 - mean_squared_error: 6468.6118 - mean_absolute_error: 70.2094 - mean_squared_logarithmic_error: 0.0020 - val_loss: 37.8558 - val_mean_squared_error: 2310.2266 - val_mean_absolute_error: 37.8558 - val_mean_squared_logarithmic_error: 6.1461e-04\n",
      "Epoch 18/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 69.1862 - mean_squared_error: 6725.2388 - mean_absolute_error: 69.1862 - mean_squared_logarithmic_error: 0.0022 - val_loss: 43.0149 - val_mean_squared_error: 2863.6624 - val_mean_absolute_error: 43.0149 - val_mean_squared_logarithmic_error: 7.6108e-04\n",
      "Epoch 19/20\n",
      "6/6 [==============================] - 0s 10ms/step - loss: 69.3843 - mean_squared_error: 6990.9507 - mean_absolute_error: 69.3843 - mean_squared_logarithmic_error: 0.0023 - val_loss: 44.1600 - val_mean_squared_error: 2974.7820 - val_mean_absolute_error: 44.1600 - val_mean_squared_logarithmic_error: 7.9060e-04\n",
      "Epoch 20/20\n",
      "6/6 [==============================] - 0s 11ms/step - loss: 69.1175 - mean_squared_error: 6932.6748 - mean_absolute_error: 69.1175 - mean_squared_logarithmic_error: 0.0022 - val_loss: 42.0555 - val_mean_squared_error: 2757.3357 - val_mean_absolute_error: 42.0555 - val_mean_squared_logarithmic_error: 7.3261e-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": 30,
   "id": "51599b53",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:17.365104Z",
     "iopub.status.busy": "2024-01-29T05:54:17.363756Z",
     "iopub.status.idle": "2024-01-29T05:54:17.373983Z",
     "shell.execute_reply": "2024-01-29T05:54:17.372137Z"
    },
    "papermill": {
     "duration": 0.044116,
     "end_time": "2024-01-29T05:54:17.377029",
     "exception": false,
     "start_time": "2024-01-29T05:54:17.332913",
     "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": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "history.history.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "0870fdff",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:17.443116Z",
     "iopub.status.busy": "2024-01-29T05:54:17.442211Z",
     "iopub.status.idle": "2024-01-29T05:54:17.922983Z",
     "shell.execute_reply": "2024-01-29T05:54:17.921299Z"
    },
    "papermill": {
     "duration": 0.518225,
     "end_time": "2024-01-29T05:54:17.927295",
     "exception": false,
     "start_time": "2024-01-29T05:54:17.409070",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Pnj35/vvvSU5OZtWqVcTHx9OuXbtMbUqWLMnHH3/M4MGDKVq0KPfddx/vvPMOe/fuvaq/zp07U6RIkUxLTn63Z3tk5N5778W8wdDWlClTbnj8W2+9lSmpuYqH1cLek0mcTbUxevEuPuxU+8YHRD4Ov4yCM/s1OiIi4izuPo4RCle9dxZ17dqVZ599ls8++wxPT0++/fZbHn/8cSwWx7/pk5KSeOutt5g/fz7Hjh0jPT2dc+fOZfkLfPv27dSqVSvTqZDGjRtnub7IyEgqVarErFmzWL58OU8++eQ172Dt3bs33bp1Y8WKFfz+++/MnDmTYcOGMW/ePFq0aJHR7sMPPyQqKirTseHhOTeCVWjnpjEMg9cfuAOAOZuO8OeR+BsfoNERERHnMwzHqRJXLIaR5TKjo6MxTZP58+dz6NAhfvnlF7p27Zqx/+WXX2bOnDkMGzaMX375hZiYGGrWrElqampO/KldU8+ePRk3bhyzZs3KuJblWvz8/IiOjua9995j8+bNNGvWjHfffTdTm9DQUCpWrJhpyerjOW5FoQ0jALVKBfJgpCPpDVuw/YYjPo4DOkHRsnruiIhIIePl5cVDDz3Et99+y3fffUeVKlWoW7duxv5ff/2Vp556io4dO1KzZk1CQ0PZv39/lvu/44472LJlC+fPn8/Y9vvvv2erxi5durB161Zq1KhBtWrVsnSMYRhUrVqV5GTX/gO7UIcRgFdaVcHDauG3Pf+wYtfJGzfW6IiISKHVtWtX5s+fz6RJkzKNigBUqlSJ2bNnExMTw+bNm+nSpctVd9/cSJcuXTAMg2effZZt27axYMECRo0ala36ihYtyrFjx1i2bNk198fExNC+fXtmzZrFtm3b2L17NxMnTmTSpEm0b98+U9u4uDhiY2MzLTkZWAp9GIkI8qF7kzIAjFiwA5tdoyMiInK1++67j6CgIHbu3EmXLl0y7RszZgxFixalSZMmREdH06pVq0wjJzdTpEgRfvzxR7Zu3UqdOnV44403GDlyZLZrDAwMxNf32ncIlSpVirJlyzJ06FAaNmxI3bp1+eijjxg6dChvvPFGprY9evQgLCws0/LJJ59ku56sMsybnptwvYSEBAICAoiPj8ff39/p/cefTePuD5YTfy6NkQ/XpFODm9yGtekb+KE3+BSHfluydGuYiEhhd/78efbt20e5cuVy9JkVkrtu9Pea1e/vQj8yAhDg406f+yoCMHrxLs6mpt/4gIujI2dPwR8Tc75AERGRAkxh5IInG5chIsibE4kpfPnLvhs31rUjIiIiTqMwcoGnm5VXWlUF4L8r93AyMeXGB2h0RERExCkURi7TrmYYtUoFkJxqY+zSXTdurNERERERp1AYuYzFculBaNP/OMTuE0k3PkCjIyIi2ZYP7puQbHDG36fCyBUalS9G1B3B2OwmIxfuuHFjjY6IiGSZu7s7AGfP3mQ+MMlXLv59Xvz7vRU592zXfGxAm6os33mSJduOs27fae4sF3T9xrU6OWb0PbPfMTrS9MVcq1NEJD+xWq0EBgZy4sQJAHx8fDCy8Uh2yVtM0+Ts2bOcOHGCwMDA25oFWGHkGioG+9GpQQTT1h7kvQXbmft8k+t/YC6OjvzQ2zE60uBpPXdEROQ6QkNDATICieR/gYGBGX+vt0ph5Dr6RVVi7qYjbD4Ux09bjhEdeYPZCjU6IiKSJYZhEBYWRnBwMGlpaa4uR26Tu7v7bY2IXKQwch3Bfl78++4KfLh0F+8v2kHL6iF4ul3nD1yjIyIi2WK1Wp3yJSYFgy5gvYFn7y5HsJ8nh06f4+s1B27cWHfWiIiI3BKFkRvw8XCjf4vKAHzyf7uJP3uDIUWrO9z9qmNdd9aIiIhkmcLITTxSrxSVgosQfy6Nz1bsvnHjWp2gaLkLoyNf5k6BIiIi+ZzCyE24WS0MfMDxmPjJv+3n8Jkb3B9vddNzR0RERLJJYSQLmlcJpnH5YqSm2xm1aOeNG2eMjvyj0REREZEsUBjJAsO49Jj4uTFH2Xo4/vqNNToiIiKSLQojWVSzVAAdajueNTJswfYbP4tfoyMiIiJZpjCSDS+3qoKHm4U1e/9h+c4bPD1QoyMiIiJZpjCSDaWK+tCjSVkAhi/YQbrNfv3GtTpBYBnH6MjGqblToIiISD6kMJJNzzevSKCPO3+fSGLWhsPXb2h1g7v6OdZ/+wTSU3OlPhERkfxGYSSbArzd6XNfJQDGLNnF2dT06zeO7AJFQiHhCGyZkUsVioiI5C8KI7fgiUaliQjy5kRiChNW7bt+Q3cvaNzbsb76Q7DbcqdAERGRfERh5BZ4ull5tZXjQWj/XbWHE4nnr9+4fg/wCoTTe2DbD7lToIiISD6iMHKL2tUKIzIikLOpNsYu/fv6DT39oOFzjvVfxsCNbgkWEREphBRGbpFhGLxx4UFoM/44xO4Tiddv3PDf4O4Lx7fC7qW5VKGIiEj+oDByG+4sF0SLaiHY7CYjft5x/YY+QY7TNQC/jM6d4kRERPIJhZHbNKBNVawWg6XbT/D73n+u37DxC2D1gINr4MBvuVegiIhIHqcwcpsqlChC5zsjABi+YDt2+3WuCfEPg9pdHOsaHREREcmgMOIEfe+vjK+Hlc2H4/lp67HrN2zaFwyL47qRY5tzr0AREZE8LNthZNWqVURHRxMeHo5hGMydO/eG7WfPnk2LFi0oUaIE/v7+NG7cmEWLFt1qvXlSCT9PnrunAgDvL9xBSvp1nicSVB5qPOxY/2VMLlUnIiKSt2U7jCQnJxMZGcm4ceOy1H7VqlW0aNGCBQsWsGHDBpo3b050dDSbNm3KdrF52dPNyhHs58nhM+f4es2B6ze86yXHz20/wKkb3BIsIiJSSBimeesPvjAMgzlz5tChQ4dsHVe9enU6derE4MGDs9Q+ISGBgIAA4uPj8ff3v4VKc8eMPw7y2v+2EuDtzqpXmhPg437thtMeh10/Q+0noEPWQp2IiEh+k9Xv71y/ZsRut5OYmEhQUNB126SkpJCQkJBpyQ8eqRdBlRA/4s+l8enyG4x6NPuP4+eW6RB3KHeKExERyaNyPYyMGjWKpKQkHnvsseu2GT58OAEBARlLRERELlZ466wWgwEPOB4T/9VvBzh0+uy1G0Y0gLLNwJ4Oaz7NxQpFRETynlwNI9OmTWPo0KF8//33BAcHX7fdwIEDiY+Pz1gOHco/owf3Vi5B04rFSLXZGbV45/UbXhwd2fAVJJ3MneJERETyoFwLI9OnT+eZZ57h+++/Jyoq6oZtPT098ff3z7TkF4ZhMLDNHRgG/BBzlC2H467dsPy9EF4H0s/B2s9zs0QREZE8JVfCyHfffUePHj347rvvaNu2bW68pUvVKBlAx9olARi2YDvXvEbYMC6NjqybAOfjc7FCERGRvCPbYSQpKYmYmBhiYmIA2LdvHzExMRw8eBBwnGLp1q1bRvtp06bRrVs3Ro8eTcOGDYmNjSU2Npb4+IL95fufVlXwcLPw+97TLNl2/NqNqrSF4lUgJQH+mJi7BYqIiOQR2Q4j69evp06dOtSpUweA/v37U6dOnYzbdI8dO5YRTAC++OIL0tPT6d27N2FhYRlL3759nfQr5E0lA7155q5yAAz/eQep6farG1ks0Ky/Y33NOEi9zgWvIiIiBdhtPWckt+SX54xcKSklnXs/WM6ppFQGtavG0xfCSSa2NPikLsQdhDYfQMN/5X6hIiIiOSDPPmekMCni6cZ/WlYB4ONlfxN3NvXqRlZ3aPKiY/23jx3hREREpBBRGMlhj9WPoGqo40FoY5de50FodZ4A32CIPwRbZ+ZugSIiIi6mMJLDrBaDN9tWA+Cb3w+w52TS1Y3cvaFxb8f6L2PAfp2J9kRERAoghZFccFel4txfNZh0u8nwBduv3ah+T/AKgH/+hh0/5W6BIiIiLqQwkkteb3sHbhaDpdtP8OvuU1c38PKHO//tWP9lNOT964pFREScQmEkl1QoUYQnGpUB4J2ftmGzXyNsNHwO3H3g2GbYsyyXKxQREXENhZFc1Pf+SgR4u7MjNpGZ668x345vMaj3lGP9lw9ztTYRERFXURjJRUV9PXjx/koAjFq8i6SU9KsbNX4BLO5wYDUc/D2XKxQREcl9CiO57MlGZShX3JdTSSl8vmL31Q0CSkLtzo71X8bkbnEiIiIuoDCSyzzcLAxsUxWACb/s4/CZazwCvmk/MCzw9yKI3Zq7BYqIiOQyhREXaFEthMbli5Gabmfkwp1XNyhWAap1cKyv1rUjIiJSsCmMuIBhGLzZ7g4MA37cfJQNB85c3ejiBHp/zYF/9uRugSIiIrlIYcRFqocH8Gi9UgC8O38bV81XGFoTKrUC0w6/js39AkVERHKJwogLvdyyCj4eVjYdjGPe5qNXN2j2H8fPmO8g/kjuFiciIpJLFEZcKNjfi173VADg/YU7OZ92xZw0pRtCmaZgT4M1n7qgQhERkZynMOJiz95dnvAAL47EnWPi6n1XN7h47ciGKZD8T67WJiIikhsURlzMy93Kq60dt/p+tnw3JxLPZ25Q4X4Ii4S0s7B2vAsqFBERyVkKI3nAg5HhREYEkpxqY8ziXZl3Gsala0fW/RfOJ+R+gSIiIjlIYSQPsFgMBre7A4AZ6w+x7egVgaNqNBSvDOfjYf0kF1QoIiKScxRG8oh6ZYJoWysM07zGrb4Wi+OprABrxkHa+Wv2ISIikh8pjOQhA1pXxcPNwm97/mHZ9hOZd9Z6DAIiIPkExHzjmgJFRERygMJIHhIR5MPTd5UDYNiC7aSm2y/ttLpDkxcd679+BLY0F1QoIiLifAojeczz91ageBEP9p5K5tu1BzLvrPsk+JaAuIPw5/9cU6CIiIiTKYzkMX5e7vRvUQWAsUv/Ju5s6qWd7t7QqJdj/ZcxYLdfowcREZH8RWEkD3qsfimqhPgRfy6Nj5b9nXlng2fA0x9O7YSdC1xToIiIiBMpjORBblYLb1641ffrNQfYezLp0k6vALjzWcf6L6Phygn2RERE8hmFkTyqWaUS3Fc1mHS7ybAFOzLvbNgL3Lzh6EbYu8Il9YmIiDiLwkge9voDVbFaDJZuP85vu09d2lGkBNTr7lj/ZbRrihMREXEShZE8rGKwH080LA3AO/O3Y7NfdkqmSR+wuMP+X+DAby6qUERE5PYpjORx/aIq4+/lxvZjCczacOjSjoBSUKerY33l+64pTkRExAkURvK4or4evHh/JQBGLd5FUkr6pZ139QeLG+xdDofWuahCERGR26Mwkg90a1yWssV8OJmYwvgVey7tKFoGIh93rGt0RERE8imFkXzAw83CgDaOW30n/LKXI3HnLu1s9h8wrLB7CRzZ6KIKRUREbp3CSD7RqnoIDcsFkZJu5/2Fl93qG1TeMYkewKoPXFOciIjIbVAYyScMw2BQu2oYBvwQc5RNB89c2tnsP4DheCLrsc0uq1FERORWZDuMrFq1iujoaMLDwzEMg7lz5970mBUrVlC3bl08PT2pWLEiU6ZMuYVSpUbJAB6uWwqAd37ahnnx6avFK0GNhx3rGh0REZF8JtthJDk5mcjISMaNG5el9vv27aNt27Y0b96cmJgY+vXrxzPPPMOiRYuyXazAK62q4O1uZePBOH7acuzSjrtfBgzY/iMc/8tl9YmIiGSXYZq3PrmJYRjMmTOHDh06XLfNa6+9xvz58/nzzz8ztj3++OPExcWxcOHCLL1PQkICAQEBxMfH4+/vf6vlFhgfLf2bD5fuomSgN8v+cw9e7lbHju+7w7a5UL0jPDrFlSWKiIhk+fs7x68ZWbNmDVFRUZm2tWrVijVr1lz3mJSUFBISEjItcsm/7i5PWIAXR+LOMXH1vks77n7F8fOvuXByp0tqExERya4cDyOxsbGEhIRk2hYSEkJCQgLnzp275jHDhw8nICAgY4mIiMjpMvMVbw8rr7auAsBny3dzIuG8Y0doDajaDjBh1SjXFSgiIpINefJumoEDBxIfH5+xHDp06OYHFTLtI0tSOyKQ5FQbIy6/1feeVx0//5wFp3a7pjgREZFsyPEwEhoayvHjxzNtO378OP7+/nh7e1/zGE9PT/z9/TMtkpnFYvDWg9UBmL3xyKVbfcMioXJrMO2a0VdERPKFHA8jjRs3ZtmyZZm2LVmyhMaNG+f0Wxd4tSMCeaSe41bft+b9hf3irL53Xxgd2TIDTu91UXUiIiJZk+0wkpSURExMDDExMYDj1t2YmBgOHjwIOE6xdOvWLaP9c889x969e3n11VfZsWMHn332Gd9//z0vvfSSc36DQu7V1lUo4unG5sPxzNp42LGxVD2oGAWmDX4Z49oCRUREbiLbYWT9+vXUqVOHOnXqANC/f3/q1KnD4MGDATh27FhGMAEoV64c8+fPZ8mSJURGRjJ69Gi+/PJLWrVq5aRfoXAL9vOiz30VAXh/4U4Sz6c5dtzzmuPn5u8g7uB1jhYREXG923rOSG7Rc0ZuLDXdTquxq9h3Kpl/3V2e1x9wTKrH1PawdwXU7wntPnRpjSIiUvjkmeeMSM7zcLMwuF01ACb/uo+9J5McOy6Ojmz8GuIPu6g6ERGRG1MYKSCaVw2meZUSpNlM3vlpm2NjmSZQ5i6wp8GvH7m2QBERketQGClABrWrhrvVYPnOkyzfccKx8eJzRzZ8BQnHrn+wiIiIiyiMFCDlSxShR9NygGNW39R0O5S7GyIagS0FfvvYxRWKiIhcTWGkgOlzX0WKF/Fk76lkpvy2Dwzj0ujI+smQdMK1BYqIiFxBYaSA8fNyz5i35uNluzmReB4q3Acl60P6OfjtExdXKCIikpnCSAH0SN1SRJYKICklnQ8W7rwwOnLhzpo/voTkU64tUERE5DIKIwWQxWIw5MK8NTM3HGbzoTio1ALCakPaWVgzzqX1iYiIXE5hpICqW7ooD9UpCcBbP/6F3eTStSPrvoCzp11XnIiIyGUURgqw19pUxcfDyqaDccyNOQJVHoCQmpCaBL9/7uryREREAIWRAi3E34sXLsxbM+LnHSSl2uCeVxw71/4XzsW5rjgREZELFEYKuKfvKkeZYj6cSExh3PLdUDUaStwBKfGO0zUiIiIupjBSwHm6WXmzrWPemom/7GP/6XOXRkfWjIPzCS6sTkRERGGkUIi6I5hmlYqTarPz7vztUK0DFK8M5+PgjwmuLk9ERAo5hZFCwDAMhkRXw81isHT7cVbtPg3NXnbs/O1TSElybYEiIlKoKYwUEhWD/ejWuCwAb/+0jbRqHSGoPJw7DesnurY4EREp1BRGCpG+UZUo5uvB7hNJTF175LLRkU8g9axrixMRkUJLYaQQCfB25+VWjnlrxi7dxT/l20NgGUg+CRumuLY4EREptBRGCpnH6kdQo6Q/iefTGbVsLzT7j2PHr2Mh7ZxLaxMRkcJJYaSQsVoM3op2zFsz/Y9D/Fn8AQiIgKTjsPFrF1cnIiKFkcJIIVS/bBDta4djmvDWgr8x73rJsWP1h5Ce4triRESk0FEYKaQGtKmKt7uV9QfO8JPlPvALh8SjsOkbV5cmIiKFjMJIIRUW4E3v5hUAeG/RXlIb9XHsWP0hpKe6sDIRESlsFEYKsWealSciyJvYhPN8Ft8UioRA/CHYMt3VpYmISCGiMFKIeblbeeMBx7w1n/12lDO1ezl2rBoFtjQXViYiIoWJwkgh16p6CE0rFiM13c6gIw3AtwTEHYCtM11dmoiIFBIKI4WcY96a6lgtBj9tj2d/5Z6OHatGgS3dtcWJiEihoDAiVA7x48lGZQB4cU9dTO8gOL0H/prt4spERKQwUBgRAF6KqkxRH3e2nLCxsWQXx8ZVo8Buc21hIiJS4CmMCAABPu78p6Vj3poXdtfH7hkAp3bCX3NcXJmIiBR0CiOSofOdpbkjzJ9j5z34v6KPOjYuf0931oiISI5SGJEMjnlrHLf6vnSgMenexeH0Xtg41cWViYhIQaYwIpk0LF+MtrXCSDS9+cr9McfGlSMhNdm1hYmISIGlMCJXef2BO/BytzDiRCOSfS/M6Pv7Z64uS0RECiiFEblKyUBvet1TkTTcGHH+EcfG1R9B8j+uLUxERAqkWwoj48aNo2zZsnh5edGwYUPWrVt3w/Zjx46lSpUqeHt7ExERwUsvvcT58+dvqWDJHf++xzFvzTfJ9Yj1qQKpifDLKFeXJSIiBVC2w8iMGTPo378/Q4YMYePGjURGRtKqVStOnDhxzfbTpk1jwIABDBkyhO3btzNx4kRmzJjB66+/ftvFS87xcrcypF11TCwMSHjIsfGPL+HMAdcWJiIiBU62w8iYMWN49tln6dGjB9WqVWP8+PH4+PgwadKka7b/7bffaNq0KV26dKFs2bK0bNmSzp0733Q0RVwvqloI91UNZkV6Tf70rAO2VFg+zNVliYhIAZOtMJKamsqGDRuIioq61IHFQlRUFGvWrLnmMU2aNGHDhg0Z4WPv3r0sWLCABx544Lrvk5KSQkJCQqZFXGNIdDU83CwMTHjYsWHLDIj907VFiYhIgZKtMHLq1ClsNhshISGZtoeEhBAbG3vNY7p06cLbb7/NXXfdhbu7OxUqVODee++94Wma4cOHExAQkLFERERkp0xxojLFfHnu7vJsNcuz1NIEMGHZUFeXJSIiBUiO302zYsUKhg0bxmeffcbGjRuZPXs28+fP55133rnuMQMHDiQ+Pj5jOXToUE6XKTfQ696KlAz05t1zD2MzrPD3Yti/2tVliYhIAZGtMFK8eHGsVivHjx/PtP348eOEhoZe85hBgwbx5JNP8swzz1CzZk06duzIsGHDGD58OHa7/ZrHeHp64u/vn2kR1/H2sDI4uhr7zTCmp9/n2LhkCJimawsTEZECIVthxMPDg3r16rFs2bKMbXa7nWXLltG4ceNrHnP27FkslsxvY7VaATD1ZZZvtKwWwj2VSzA2rSMphhccWQ87fnJ1WSIiUgBk+zRN//79mTBhAl999RXbt2+nV69eJCcn06NHDwC6devGwIEDM9pHR0fz+eefM336dPbt28eSJUsYNGgQ0dHRGaFE8j7DMHjrwerEW4P4b1prx8alQ8GW7trCREQk33PL7gGdOnXi5MmTDB48mNjYWGrXrs3ChQszLmo9ePBgppGQN998E8MwePPNNzly5AglSpQgOjqa9957z3m/heSKcsV9efbucnyxvB3d3JYR+M/fEPMN1HvK1aWJiEg+Zpj54FxJQkICAQEBxMfH6/oRFzubmk7U6JW0SprDEPevwS8M+mwEDx9XlyYiInlMVr+/NTeNZIuPhxuD2lXjW1sUh8wSkHgM1o53dVkiIpKPKYxItrWuEUrDSmGMTnvUsWH1WDh72qU1iYhI/qUwItl28WLWBUZTtttLQ0o8rB7j6rJERCSfUhiRW1KhRBF63lWRkemPA2Cu/QLiD7u4KhERyY8URuSW9bmvIjuLNOR3+x0YthRYPtzVJYmISD6kMCK3zNfTjTfaVWNEWmcAzM3T4MR2F1clIiL5jcKI3Ja2NcPwKd+Qn20NMEw7LHvb1SWJiEg+ozAit8UwDN5uX50xtsdJNy2wcwEc/N3VZYmISD6iMCK3rWKwH83vasr3tnsBsC8erEn0REQkyxRGxClevL8S33p35pzpgeXwWtj5s6tLEhGRfEJhRJyiiKcb/2rblEk2xyR6aYuHgN3m4qpERCQ/UBgRp3kwMpz1JbsRZ/rifnoXbP7O1SWJiEg+oDAiTmMYBgM6NuIzWwcAzi95B9LOubYoERHJ8xRGxKmqhPrBnc9yxCyG19lY0n//r6tLEhGRPE5hRJyuT8safOnmeEx8+srRcC7OtQWJiEiepjAiTufn5U6ttv9mp70UXukJJC4b5eqSREQkD1MYkRzRoU5p5gY9A4Dnhi8g4aiLKxIRkbxKYURyhGEYPPhYT/6wV8HDTCF23luuLklERPIohRHJMXeEB7Clan8ASuyeSWrsDhdXJCIieZHCiOSoRzo+zAqjAVbsHP7fQFeXIyIieZDCiOSoAG93Uu55E5tpUP7k/3Fqx2pXlyQiInmMwojkuBZ338MK7xYAnPlhoCbRExGRTBRGJMdZLAalHnqbFNOdSue2sO2XWa4uSURE8hCFEckVVSrfwR8hjwLgteId0tLSXFyRiIjkFQojkmtqdRpKAr6Utx9g9ezPXV2OiIjkEQojkmv8iwWzv+q/AKi87WOOn453cUUiIpIXKIxIrqrR8VVOWYpR0jjJr9NHurocERHJAxRGJFdZPH043+RVAO49/hVr/trn4opERMTVFEYk15Vq/gwnvMoSZCRxePYbJKWku7okERFxIYURyX1WN/w6jgHgofQFfDVrjosLEhERV1IYEZfwrnI/J8s+iNUwuWvnMH7dddzVJYmIiIsojIjLlHh4FOcsRYi07GXN96N0ukZEpJBSGBHX8QvBEjUIgH+lfcMnP2jeGhGRwkhhRFzKs9GzJBWrib9xlqpb3+fX3adcXZKIiOSyWwoj48aNo2zZsnh5edGwYUPWrVt3w/ZxcXH07t2bsLAwPD09qVy5MgsWLLilgqWAsVgp8tDH2DHoaP2V6TO+0ekaEZFCJtthZMaMGfTv358hQ4awceNGIiMjadWqFSdOnLhm+9TUVFq0aMH+/fuZNWsWO3fuZMKECZQsWfK2i5cComRdbHV7AtAvZTwfzN/s4oJERCQ3GaaZvfncGzZsSIMGDfj0008BsNvtRERE0KdPHwYMGHBV+/Hjx/PBBx+wY8cO3N3db6nIhIQEAgICiI+Px9/f/5b6kDzuXBypH9XD4/wpRqU9SpMeI2hSsbirqxIRkduQ1e/vbI2MpKamsmHDBqKioi51YLEQFRXFmjVrrnnMvHnzaNy4Mb179yYkJIQaNWowbNgwbDbbdd8nJSWFhISETIsUcN6BeLR1PB7+Bbe5jJ25mGSdrhERKRSyFUZOnTqFzWYjJCQk0/aQkBBiY2OveczevXuZNWsWNpuNBQsWMGjQIEaPHs2777573fcZPnw4AQEBGUtERER2ypT8qsbD2MrejZeRRq+z4xmxYLurKxIRkVyQ43fT2O12goOD+eKLL6hXrx6dOnXijTfeYPz48dc9ZuDAgcTHx2cshw4dyukyJS8wDKztPsRu8aC5dTMn/5jFb7q7RkSkwMtWGClevDhWq5XjxzM/LfP48eOEhoZe85iwsDAqV66M1WrN2HbHHXcQGxtLamrqNY/x9PTE398/0yKFRPGKWO7qB8AQ96kMmbVWp2tERAq4bIURDw8P6tWrx7JlyzK22e12li1bRuPGja95TNOmTdm9ezd2uz1j265duwgLC8PDw+MWy5YCrVl/7IFlCTNO81jSN4z4eYerKxIRkRyU7dM0/fv3Z8KECXz11Vds376dXr16kZycTI8ePQDo1q0bAwcOzGjfq1cvTp8+Td++fdm1axfz589n2LBh9O7d23m/hRQs7t5Y2o4GoId1IevXruK3PTpdIyJSULll94BOnTpx8uRJBg8eTGxsLLVr12bhwoUZF7UePHgQi+VSxomIiGDRokW89NJL1KpVi5IlS9K3b19ee+015/0WUvBUioJq7XHb9gPvuk+i38zKLHzpXnw9s/2frIiI5HHZfs6IK+g5I4VUwlHMT+tjpCYzIO0ZPO7swdvta7i6KhERyaIcec6ISK7yD8do/iYAA9y+46c1W3W6RkSkAFIYkbztzn9BaE0CjWQGuk3jtf9t0d01IiIFjMKI5G1WN2j7ISYGj7qtIuzMRkYu1N01IiIFicKI5H0RDTDqdQfgXfdJfLdmD2v2/OPiokRExFkURiR/uH8I+BSnsuUIT1sX8Or/NnM2VadrREQKAoURyR98gqDlOwD0dZ+D/fRBRuphaCIiBYLCiOQfkZ2hzF14k8Jb7lP5as0Bft+r0zUiIvmdwojkH4YBbUeDxY0W1g1EWTbw6qwtOl0jIpLPKYxI/hJcFZr0AeBdj6mcPH2a9xfudHFRIiJyOxRGJP+5+1UIKE0oJ3nRbQ5Tftuv0zUiIvmYwojkPx4+8MD7APzLbQGVjUM6XSMiko8pjEj+VKUNVGmLFRvve33FwdPJOl0jIpJPKYxI/tVmJLj7UNvcxiPWVTpdIyKSTymMSP4VGAH3DgDgLa8ZBJKo0zUiIvmQwojkb42eh+BqFLHFMdR3FgdPn9XpGhGRfEZhRPI3qzu0HQNAe9sS6hq7mPLbftbqdI2ISL6hMCL5X5nGUPsJAMYFfI0VG6/+T6drRETyC4URKRhavA3eRQk7v4e+vss48I9O14iI5BcKI1Iw+BaDqKEAPG/MJJR/mPLbfpZsO+7iwkRE5GYURqTgqPMklLoTt/RkJofNBqD/9zEc+CfZxYWJiMiNKIxIwWGxQLsPwbByx5nlPBu6m8Tz6fT6ZiPn02yurk5ERK5DYUQKltAa0KgXAK/ZJ1DaJ51txxIY8sNfLi5MRESuR2FECp57B0JgadwSDjGr9P+wGDBj/SG+X3/I1ZWJiMg1KIxIweNZBB76Egwrwft/4L+1/gZg0Nw/2XY0wcXFiYjIlRRGpGAq3TDjUfFR+z6gU4V0UtLtPP/tBhLOp7m4OBERuZzCiBRczf4DZZpipCbxnn0sZQLd2f/PWV7+fjOmabq6OhERuUBhRAouixUe+gK8AnA7tpGZVZbjYbWweNtxJvyy19XViYjIBQojUrAFlIIHPwEgePPnjGuSCMDIhTs1f42ISB6hMCIFX7X2ULc7YBK1fRBP1PTFZjd54btNnEg87+rqREQKPYURKRxaD4filTGSYnmLz6kc7MvJxBT6TNtEus3u6upERAo1hREpHDx84ZFJYPXA7e+FfFv7T4p4urF232lGL9nl6upERAo1hREpPEJrOmb3BUr89g7jorwA+HzFHk2oJyLiQgojUrg0fA4qtoD089yz5TWebRwGOCbUO/jPWRcXJyJSOCmMSOFiGNDhc/ANhpPbGWD5hrqlAx0T6n27QRPqiYi4gMKIFD5FSkDH8QBYN0zky0YnCPL14K+jCbw1TxPqiYjktlsKI+PGjaNs2bJ4eXnRsGFD1q1bl6Xjpk+fjmEYdOjQ4VbeVsR5Kt4PjV8AIGjJS4x/MAzDgOl/HGKmJtQTEclV2Q4jM2bMoH///gwZMoSNGzcSGRlJq1atOHHixA2P279/Py+//DLNmjW75WJFnOr+IRAWCefOcGfMQP5zfwUA3tSEeiIiuSrbYWTMmDE8++yz9OjRg2rVqjF+/Hh8fHyYNGnSdY+x2Wx07dqVoUOHUr58+dsqWMRp3Dzg4Ung7gP7VvG8xwLurVJCE+qJiOSybIWR1NRUNmzYQFRU1KUOLBaioqJYs2bNdY97++23CQ4O5umnn87S+6SkpJCQkJBpEckRxStCm/cBsKx4j4+b2SkZ6M3+f87y6swtmlBPRCQXZCuMnDp1CpvNRkhISKbtISEhxMbGXvOY1atXM3HiRCZMmJDl9xk+fDgBAQEZS0RERHbKFMmeOk9A9Y5gT8d//r8Z/2glPKwWFv4Vy5e/7HN1dSIiBV6O3k2TmJjIk08+yYQJEyhevHiWjxs4cCDx8fEZy6FDuqBQcpBhQLuxEFAazuyn5uZ3GRRdDYARC3ewbt9p19YnIlLAZSuMFC9eHKvVyvHjmZ9Wefz4cUJDQ69qv2fPHvbv3090dDRubm64ubkxdepU5s2bh5ubG3v27Lnm+3h6euLv759pEclR3oHw8AQwLLBlOk94/06H2uGOCfWmbdSEeiIiOShbYcTDw4N69eqxbNmyjG12u51ly5bRuHHjq9pXrVqVrVu3EhMTk7E8+OCDNG/enJiYGJ1+kbyldCO4ZwAAxvz/MLy5H5WCi3AiMYUXv9OEeiIiOSXbp2n69+/PhAkT+Oqrr9i+fTu9evUiOTmZHj16ANCtWzcGDhwIgJeXFzVq1Mi0BAYG4ufnR40aNfDw8HDubyNyu5r9B0o3htREvOf9i88718LXw8rve08zRhPqiYjkiGyHkU6dOjFq1CgGDx5M7dq1iYmJYeHChRkXtR48eJBjx445vVCRXGF1g4cmgFcAHNlAxb8+ZuQjtQD4bMUelmpCPRERpzPMfHDvYkJCAgEBAcTHx+v6Eckdf82Fmd0BA7rP462txZjy2378vdz4qU8zShfzcXWFIiJ5Xla/vzU3jci1VO8AdbsBJsz+N6/fG0Ld0oEknE/n+WmaUE9ExJkURkSup/UIKF4ZEo/iMf9FPu1chyBfD/48ksDQHzWhnoiIsyiMiFyPhy88/CVYPWDnfMJ3T+Ojx2tjGPDdukN8/4eefyMi4gwKIyI3EhYJUW851he9QTP/k/S7vzIAr8/ZyvIdN54gUkREbk5hRORmGvaCilGQfh7+9zR9mpWkY52SpNtNen27gfX79YRWEZHboTAicjMWC3T4HHyD4cQ2LMuG8P4jtWhepQTn0+z0nPIHO2I1maOIyK1SGBHJiiLB0PFzx/q6L3DfvYjPutajXpmiJJxPp9vEdRw6fda1NYqI5FMKIyJZVTEKGr/gWJ/7PN7nTzCpewOqhPhxIjGFJyeu5WRiimtrFBHJhxRGRLLj/sEQWgvOnYaZ3QlwT2fq03dSqqg3+/85y1OT15FwPs3VVYqI5CsKIyLZ4eYJj0x2PC7+0FqY/S9Cirjz9dMNKV7Eg7+OJvDsV+v1UDQRkWxQGBHJruIV4fFpjuePbJ8Hi9+kXHFfpvS4kyKebqzdd1qz/IqIZIPCiMitKHuX4w4bgN8/gzWfUaNkABO61cfDzcLibcd5Y86f5IOpn0REXE5hRORW1XwEooY61he9Dtt+oHGFYnzSuQ4WA2asP8TIhTtdW6OISD6gMCJyO5r2hQbPACb871k4+Dutqocy/KGaAIxfuYcJq/a6tkYRkTxOYUTkdhgGtHkfqjwAthT47nE49TedGpTmtdZVAXhvwXZmbTjs4kJFRPIuhRGR22WxwsMToWQ9OHcGvnkYkk7w3D3lebZZOQBe+98Wlm477uJCRUTyJoUREWfw8IHOM6BoWYg7ANMew0g7y+sP3MHDdUths5v0nraRtXv/cXWlIiJ5jsKIiLMUKQFPzAbvIDi6CWb1xLDbGPlwTaLuCCYl3c4zU9ez7ajmsRERuZzCiIgzFasAXWaAmxfsWgg/v4KbxeDTLnW5s2wQiefT6T55HQf/0Tw2IiIXKYyIOFvEnfDwl4AB6yfB6g/xcrcyoXt97gjz52RiCk9MXMuJxPOurlREJE9QGBHJCXdEQ+sRjvVlQ2HLTAK83fmqZwNKB/lw8PRZuk/6g/hzmsdGRERhRCSnNHrusll+e8G+VQT7efH103dSvIgn249pHhsREVAYEclZLd6Bah3AngbTn4Dj2yhTzJepPe/Ez8uNdftP88I0zWMjIoWbwohITrJYoON/oXRjSImHbx+FhGNUC/dnYvcGeLpZWLr9OANmb9U8NiJSaCmMiOQ0dy/HLL/FKkHCYUcgOZ/AneWCGNelLlaLwawNhxn+8w5XVyoi4hIKIyK5wScInpgFvsFwfCt83w1saURVC2Hkw7UA+GLVXsav3OPiQkVEcp/CiEhuKVrW8QwSdx/Yuxx+7AumySP1SvH6A455bEb8vIPv/zjk2jpFRHKZwohIbipZFx6dAoYFYr6FFY7bf/91dwX+fU95AAbM3sKiv2JdWKSISO5SGBHJbZVbQdsxjvWVI2Dj1wAMaF2Vx+qXwm5Cn+82sXzHCRcWKSKSexRGRFyhfg9o9h/H+o99YfdSDMNgWMeatKwWQuqFeWymrzvo2jpFRHKBwoiIq9w3CGp1AtMG33eHY5txs1r4tEtdHqpbEpvdZMDsrYxZvFO3/YpIgaYwIuIqhgEPfgrl7obUJPj2MYg7hIebhdGPRvLifRUB+Pj/dvPyzC2kpuvBaCJSMCmMiLiSmwd0+gaCq0FSLHz7CJw7g2EY9G9ZhREP1cRqMfjfxsP0nPIHiec1l42IFDwKIyKu5hUAXWeCXzic3OF4bHx6CgCP31maL7vXx8fDyurdp3h0/Bpi4zXbr4gULLcURsaNG0fZsmXx8vKiYcOGrFu37rptJ0yYQLNmzShatChFixYlKirqhu1FCqWAUo5A4uEHB1bD3OfB7jgt07xKMDP+1ZjiRTzZEZtIx89+ZWdsoosLFhFxnmyHkRkzZtC/f3+GDBnCxo0biYyMpFWrVpw4ce3bEFesWEHnzp1Zvnw5a9asISIigpYtW3LkyJHbLl6kQAmtAZ2mgsUN/pwFPzwPNsdpmZqlApjzfBMqlPDlWPx5Hhn/G7/tOeXigkVEnMMws3mZfsOGDWnQoAGffvopAHa7nYiICPr06cOAAQNuerzNZqNo0aJ8+umndOvWLUvvmZCQQEBAAPHx8fj7+2enXJH8Z8v3MOc5x102Fe6Dx6aCpx8AcWdT+dfUDazbfxp3q8EHj0TSoU5JFxcsInJtWf3+ztbISGpqKhs2bCAqKupSBxYLUVFRrFmzJkt9nD17lrS0NIKCgq7bJiUlhYSEhEyLSKFR6zHo/J3jsfF7/g8mPwCJjieyBvp4MPXpO2lbK4w0m0m/GTGMW75bt/6KSL6WrTBy6tQpbDYbISEhmbaHhIQQG5u1x1e/9tprhIeHZwo0Vxo+fDgBAQEZS0RERHbKFMn/KreCp34Cn+IQuwW+bAEndwHg5W7lk8fr8GyzcgB8sGgnb879k3Sbbv0VkfwpV++mGTFiBNOnT2fOnDl4eXldt93AgQOJj4/PWA4d0sRhUgiVrAfPLIGg8hB/ECa1hIO/A2CxGLzRthpvRVfDMODbtQf599cbOJua7uKiRUSyL1thpHjx4litVo4fP55p+/HjxwkNDb3hsaNGjWLEiBEsXryYWrVq3bCtp6cn/v7+mRaRQimoPDy9xBFMzp2Bqe1h+48Zu59qWo7Pu9bD083Csh0n6PzF75xMTHFhwSIi2ZetMOLh4UG9evVYtmxZxja73c6yZcto3LjxdY97//33eeedd1i4cCH169e/9WpFCiPf4tD9R6jcGtLPw4wnYe0XGbtb1whl2rONKOrjzubD8Tz0+a/sPZnkwoJFRLIn26dp+vfvz4QJE/jqq6/Yvn07vXr1Ijk5mR49egDQrVs3Bg4cmNF+5MiRDBo0iEmTJlG2bFliY2OJjY0lKUn/sxTJMg9f6PQt1OsBmPDzK7BkSMazSOqVKcr/ejWhdJAPh06f4+HPf2PDgdOurVlEJIuyHUY6derEqFGjGDx4MLVr1yYmJoaFCxdmXNR68OBBjh07ltH+888/JzU1lUceeYSwsLCMZdSoUc77LUQKA6sbtPsQ7nvT8frXsTDn35CeCkD5EkWY/XwTIksFcOZsGl0mrGXhn8eu35+ISB6R7eeMuIKeMyJyhU3fwo8vgj0dyt0Dnb52PFYeOJuazovfbWLp9hMYBgxqW42ed5VzccEiUhjlyHNGRCSPqNMVuswAd1/Yt9LxLJKEowD4eLgx/ol6PNGoNKYJb/+0jXd+2obdnuf/3SEihZTCiEh+VTEKeiwA32A4/qfjWSQndgDgZrXwTvsavNq6CgATV++jz3ebOJ9mc2XFIiLXpDAikp+F13Y8i6RYJUg47HgWyf5fATAMg+fvrchHj9fG3Wowf+sxnpy4lrizqa6tWUTkCgojIvld0bLw9GIodSecj4evO8BfczJ2t69dkq963omflxt/7D/DQ5//xqHTZ11WrojIlRRGRAoCnyDoPg+qtgNbKszsAWs+y9jdpEJxZj3XhPAAL/aeTKbDuF9Z9FfWpnAQEclpCiMiBYW7t2OG3wbPAiYsGgiL3sh4FkmVUD9mP9+UamH+/JOcyr+/3kCf7zZxOlmnbUTEtRRGRAoSixUe+ACi3nK8XvMp/O9pSHc8Ij40wIvZzzeh170VsBjw4+ajtBizkgVb9TwSEXEdPWdEpKDaPAN+6A32NChzFzz+LXgHXtp9KI5XZm1m13HH05Db1gxjaPvqFC/i6aKCRaSg0XNGRAq7yE7wxCzw8IMDq2FSa4g/fGl3RCA/9rmLPvdVxGpx3G3T8sNV/Lj5KPng3ygiUoAojIgUZOXvhZ4/Q5FQOLnd8SyS439l7PZ0s/KfllX4oXdTqob6cTo5lT7fbaLXNxs1+6+I5BqFEZGCLrQmPLMUileBxKOOEZJ9qzI1qVEygHkv3EXf+yvhZjFY+FcsLT5cyQ8xRzRKIiI5TmFEpDAIjICeC6F0E0hJgKkdYOlbkHYuo4mHm4WXWlTmhxccd9zEnU2j7/QY/vX1Bk4knHdZ6SJS8CmMiBQWPkHw5Byo+RiYNlj9IXzWGPYsz9SsengAP7zQlP4tKuNuNViy7TgtPlzF7I2HNUoiIjlCd9OIFEY75sP8lx2nbQAiu0DLd8G3WOZmsQm8PHMzfx5JAOC+qsEM61iT0ACv3K5YRPKhrH5/K4yIFFbnE+D/3oF1EwATfIpBq+FQ6zEwjIxmaTY7X6zay0dL/ybVZsfPy43B7arxSL1SGJe1ExG5ksKIiGTNoT/gxxfhxDbH6wr3QdsxEFQuU7NdxxN5ZeZmNh+OB+DeKiUY1rEm4YHeuV2xiOQTCiMiknXpqfDbx7DyfbClgJs3NB8IjXqD1e1SM5udL1fvY8ySXaSm2/HzdOPNdnfwWP0IjZKIyFUURkQk+/7ZAz/2hf2/OF6H1oToj6Fk3UzNdp9I5JVZW9h0MA6AZpWKM+LhWpTUKImIXEZhRERujWlCzLeOSfbOx4FhgYa9oPnr4Fkko5nNbjJp9T5GLd5JSrodXw8rr7e9gy53ltYoiYgACiMicruSTsLCAfDnLMfrgNLQbgxUapGp2d6TSbw6awvrD5wBoGnFYgzrWJMyxXxzu2IRyWMURkTEOf5eAj/1h/iDjtc1HobWI6BIcEYTm91kym/7+WDRDs6n2bEY0KZmGE/fVY66pYu6qHARcTWFERFxntRkWD4Mfv8MTDt4BTqeS1LniUy3Ae8/lczgeX+xatfJjG11SwfyTLPytKwWgptVz1kUKUwURkTE+Y5ugnkvQuwWx+uyzaDdWCheMVOz7ccSmLh6H/NijpJqswNQqqg3TzUpS6cGEfh5uedy4SLiCgojIpIzbOmOEZLlwyD9HFg94Z5XoElfcPPI1PRE4nm+WXOAr38/wJmzaQAU8XTj8QYRPNW0LKWK+rjiNxCRXKIwIiI568x++Okl2PN/jtfB1SD6I4i486qm59NszN54hImr97LnZDKArisRKQQURkQk55kmbJ3puOvm7D+AAQ2egfsHgVfAVc3tdpOVf59k4i/7WL37VMZ2XVciUjApjIhI7jl7Gha/6Xg+CYBHEajeAWp3hdKNM13kepGuKxEp+BRGRCT37V0BC16BU7subStazhFKIh+HwIirDtF1JSIFl8KIiLiGacLBNbDpW/hrDqQlX9hhQLm7HbcDV20HHplDhq4rESl4FEZExPVSkmD7j47TNxfnuwHw8IMaHR0jJhENM53G0XUlIgWHwoiI5C1n9sPm6Y5gEnfw0vagClC7i+M0TkCpTIdc67qSkoHeRN0RTN0yRalbuiilinprLhyRPEphRETyJrsdDvwKMdNg21xIO3thhwEVmjtGS6q2BfdLMwBf67qSi4oX8aRO6UDqlA6kbumi1CoVgI+HW+79PiJyXQojIpL3pSTCtnmOYHJg9aXtngFQ4yFHMClVP+M0zvk0G0u3H2fDgTNsPBjHtqPxpNky/y/MajGoGupH3dJFMwJKmWI+Gj0RcQGFERHJX07vvXAa57tLk/IBFK/sOI1TqxP4h2c65Hyajb+OxrPxQBybDp1h44E4YhPOX9V1kK8HdSICqVumKHUiAomMCMTXU6MnIjlNYURE8ie73XGxa8w02PaD45HzAIYFKtwHkZ0hvA74lwR3r6sOPxZ/jo0H4th48AybDp7hzyMJGdebXGQxoHKIX8Z1J3VKB1K+uK9GT0ScLEfDyLhx4/jggw+IjY0lMjKSTz75hDvvvPoR0BfNnDmTQYMGsX//fipVqsTIkSN54IEHsvx+CiMihdT5BEcgifnWcbvwlXyKQ0BJRzDxL3lhvdSFn+HgF04KVrYdTWDjwTg2HTzDpoNxHIk7d1VXgT7u1I4IpEZ4AL6ebni5W/Byt+Lplvmnl7sFT7dLPz0vtPNys+JuNXIs0JimSbrdJN1mkma3O37a7KTZHOvpdjtpNhPTdJzVuliGgeF4zcVtl782MrZfbHeRo4+r91stBm4W48JPS8Zri0VBTq6WY2FkxowZdOvWjfHjx9OwYUPGjh3LzJkz2blzJ8HBwVe1/+2337j77rsZPnw47dq1Y9q0aYwcOZKNGzdSo0YNp/4yIlKA/bMHNn/nuFX4zH5Iv/p0zNUMKBJ8IayEO+7W8S9JnEcwO5L9WH/Gh19i3Yg5kkRKuv3m3d3s3Qzwcrs6sPi4mfi4m/hY7XgYdmw2O+k2G3ZbOna7HZvdju3Ca5vNjt20YdpspNttmDY7drsNu92OBRMDx0/HYr+wmFgMEwMTE4M004oNK+lYLvy0YsNCGlZs5qXXl7a7Zbx2xJRb+92vFVIyflqvs/3y9hfCnIFj9MpiXHhtXHptufDaMIzL2jjCUkYbi+Pv/tIxXBUSTdPEzFiHi68ufiOal62DeWn7TdqamHDZ9mu/19Xbuez4a71Xlv4ObvJ3d7Oc/EqrKpQvUSTL75cVORZGGjZsSIMGDfj0008BsNvtRERE0KdPHwYMGHBV+06dOpGcnMxPP/2Usa1Ro0bUrl2b8ePHO/WXEZFCwjTh3BmIPwwJRxxL/BU/E46CLeXmfRkWzCKhnPUK4aRRjFi7H6bNhmlLw7ClYdjTMOzpGPY0LKbjp9VMx2KmYzXTsJo23EnHnXTcDBvuOF67cWndYuT5s+EZbKaREWDSrxFobKYjtNixOF5fWOyXhRu7aSH9wjbbheMdP42MdTsW0k0rtgvxKh0r5mVfpsaFL+FLP6+/3bj09X6dto51A/NCcDEzLZaMdTCwZ7S/+fbMfVzu8u9947K/f+MG4eLKfddre/HPycS4artpXtx3ZdubH1v80TFUr9XguvXdiqx+f2frCq7U1FQ2bNjAwIEDM7ZZLBaioqJYs+YaQ6jAmjVr6N+/f6ZtrVq1Yu7cudd9n5SUFFJSLv1PJCEhITtlikhBZxjgE+RYwmpdu41pQvIpSDjsCCbxRxzr8ReCSsJhSDgG9jSMxKP4Jh7FFyibrTq41YEER4lYMA0LGMaFnxbgwk/DApbL1g0LxoVtRqbX1kttMMC0gz39wmIDe9oVr9PBlgam7Zo1WQ0TK+l4kH7931kKpNNeqS5772yFkVOnTmGz2QgJCcm0PSQkhB07dlzzmNjY2Gu2j42Nve77DB8+nKFDh2anNBGRzAwDipRwLOF1rt3Gbofkk5eFlCOO2YctbmB1B4s7WD3A6nbZuvtl+9xv0M7N8fPKdhYrGFZHqMCF3+2meSmc2NMvhJbLXtuueH15oDFtV6zbrlhPvxCKLq5f3G+/Rh/2y/bbLv2JGMYV69zktZFp0zXbXmx3IQBef50stLls3bBc8V5X1HDVvivaZXkfF84HXXYex7Fy9esrT3pcc1/m44JKVsFV8uS9bQMHDsw0mpKQkEBExNUTbImI3BaLBfxCHEvJeq6uJncZxoXAlCe/BqSQydZ/hcWLF8dqtXL8+PFM248fP05oaOg1jwkNDc1WewBPT088PT2zU5qIiIjkU9mabcrDw4N69eqxbNmyjG12u51ly5bRuHHjax7TuHHjTO0BlixZct32IiIiUrhke3yuf//+dO/enfr163PnnXcyduxYkpOT6dGjBwDdunWjZMmSDB8+HIC+fftyzz33MHr0aNq2bcv06dNZv349X3zxhXN/ExEREcmXsh1GOnXqxMmTJxk8eDCxsbHUrl2bhQsXZlykevDgQSyWSwMuTZo0Ydq0abz55pu8/vrrVKpUiblz52b5GSMiIiJSsOlx8CIiIpIjsvr9na1rRkREREScTWFEREREXEphRERERFxKYURERERcSmFEREREXEphRERERFxKYURERERcSmFEREREXCpfTNd48blsCQkJLq5EREREsuri9/bNnq+aL8JIYmIiABERES6uRERERLIrMTGRgICA6+7PF4+Dt9vtHD16FD8/PwzDcFq/CQkJREREcOjQoRx5zHx+7j8/157f+8/Ptef3/vNz7fm9//xce073n59rN02TxMREwsPDM81bd6V8MTJisVgoVapUjvXv7++fo3Pe5Of+83Pt+b3//Fx7fu8/P9ee3/vPz7XndP/5tfYbjYhcpAtYRURExKUURkRERMSlCnUY8fT0ZMiQIXh6eqr/XOxb/buub/Xvur7Vv+v6zu/95+fasypfXMAqIiIiBVehHhkRERER11MYEREREZdSGBERERGXUhgRERERlyqUYWTVqlVER0cTHh6OYRjMnTvXqf0PHz6cBg0a4OfnR3BwMB06dGDnzp1O6fvzzz+nVq1aGQ+nady4MT///LNT+r6WESNGYBgG/fr1c0p/b731FoZhZFqqVq3qlL4Bjhw5whNPPEGxYsXw9vamZs2arF+/3il9ly1b9qraDcOgd+/eTunfZrMxaNAgypUrh7e3NxUqVOCdd9656ZwO2ZGYmEi/fv0oU6YM3t7eNGnShD/++OOW+rrZ58g0TQYPHkxYWBje3t5ERUXx999/O6Xv2bNn07JlS4oVK4ZhGMTExDit9rS0NF577TVq1qyJr68v4eHhdOvWjaNHjzqlf3B8DqpWrYqvry9FixYlKiqKtWvXOq3/yz333HMYhsHYsWOd0vdTTz111WegdevWTq19+/btPPjggwQEBODr60uDBg04ePCgU/q/1mfYMAw++OCD2+47KSmJF154gVKlSuHt7U21atUYP358lurOSv/Hjx/nqaeeIjw8HB8fH1q3bp3lz1RWvpfOnz9P7969KVasGEWKFOHhhx/m+PHjWa7/dhTKMJKcnExkZCTjxo3Lkf5XrlxJ7969+f3331myZAlpaWm0bNmS5OTk2+67VKlSjBgxgg0bNrB+/Xruu+8+2rdvz19//eWEyjP7448/+O9//0utWrWc2m/16tU5duxYxrJ69Wqn9HvmzBmaNm2Ku7s7P//8M9u2bWP06NEULVrUKf3/8ccfmepesmQJAI8++qhT+h85ciSff/45n376Kdu3b2fkyJG8//77fPLJJ07pH+CZZ55hyZIlfP3112zdupWWLVsSFRXFkSNHst3XzT5H77//Ph9//DHjx49n7dq1+Pr60qpVK86fP3/bfScnJ3PXXXcxcuTIbNd9s/7Pnj3Lxo0bGTRoEBs3bmT27Nns3LmTBx980Cn9A1SuXJlPP/2UrVu3snr1asqWLUvLli05efKkU/q/aM6cOfz++++Eh4c7rXaA1q1bZ/osfPfdd07rf8+ePdx1111UrVqVFStWsGXLFgYNGoSXl5dT+r+87mPHjjFp0iQMw+Dhhx++7b779+/PwoUL+eabb9i+fTv9+vXjhRdeYN68ebddu2madOjQgb179/LDDz+wadMmypQpQ1RUVJa+W7LyvfTSSy/x448/MnPmTFauXMnRo0d56KGHslT7bTMLOcCcM2dOjr7HiRMnTMBcuXJljvRftGhR88svv3Rqn4mJiWalSpXMJUuWmPfcc4/Zt29fp/Q7ZMgQMzIy0il9Xem1114z77rrrhzp+1r69u1rVqhQwbTb7U7pr23btmbPnj0zbXvooYfMrl27OqX/s2fPmlar1fzpp58yba9bt675xhtv3FbfV36O7Ha7GRoaan7wwQcZ2+Li4kxPT0/zu+++u62+L7dv3z4TMDdt2nQLVd+8/4vWrVtnAuaBAwdypP/4+HgTMJcuXeq0/g8fPmyWLFnS/PPPP80yZcqYH374oVP67t69u9m+ffts95XV/jt16mQ+8cQTOdb/ldq3b2/ed999Tum7evXq5ttvv51p261+vq7sf+fOnSZg/vnnnxnbbDabWaJECXPChAnZ7v/K76W4uDjT3d3dnDlzZkab7du3m4C5Zs2abPefXYVyZCS3xcfHAxAUFOTUfm02G9OnTyc5OZnGjRs7te/evXvTtm1boqKinNovwN9//014eDjly5ena9euWR5+vZl58+ZRv359Hn30UYKDg6lTpw4TJkxwSt9XSk1N5ZtvvqFnz55Om7yxSZMmLFu2jF27dgGwefNmVq9eTZs2bZzSf3p6Ojab7ap/YXp7ezttdOqiffv2ERsbm+m/n4CAABo2bMiaNWuc+l65IT4+HsMwCAwMdHrfqampfPHFFwQEBBAZGemUPu12O08++SSvvPIK1atXd0qfl1uxYgXBwcFUqVKFXr168c8//zilX7vdzvz586lcuTKtWrUiODiYhg0bOv1U+kXHjx9n/vz5PP30007pr0mTJsybN48jR45gmibLly9n165dtGzZ8rb7TklJAcj0+bVYLHh6et7S5/fK76UNGzaQlpaW6TNbtWpVSpcunSufWYWRHGa32+nXrx9NmzalRo0aTulz69atFClSBE9PT5577jnmzJlDtWrVnNI3wPTp09m4cSPDhw93Wp8XNWzYkClTprBw4UI+//xz9u3bR7NmzUhMTLztvvfu3cvnn39OpUqVWLRoEb169eLFF1/kq6++ckLlmc2dO5e4uDieeuopp/U5YMAAHn/8capWrYq7uzt16tShX79+dO3a1Sn9+/n50bhxY9555x2OHj2KzWbjm2++Yc2aNRw7dswp73FRbGwsACEhIZm2h4SEZOzLL86fP89rr71G586dnTqJ2E8//USRIkXw8vLiww8/ZMmSJRQvXtwpfY8cORI3NzdefPFFp/R3udatWzN16lSWLVvGyJEjWblyJW3atMFms9123ydOnCApKYkRI0bQunVrFi9eTMeOHXnooYdYuXKlE6rP7KuvvsLPz89ppyI++eQTqlWrRqlSpfDw8KB169aMGzeOu++++7b7vhgMBg4cyJkzZ0hNTWXkyJEcPnw425/fa30vxcbG4uHhcVXgzq3PbL6YtTc/6927N3/++adT/+VZpUoVYmJiiI+PZ9asWXTv3p2VK1c6JZAcOnSIvn37smTJkiyfo82Oy/+VX6tWLRo2bEiZMmX4/vvvb/tfJ3a7nfr16zNs2DAA6tSpw59//sn48ePp3r37bfV9pYkTJ9KmTZtsnYu/me+//55vv/2WadOmUb16dWJiYujXrx/h4eFOq//rr7+mZ8+elCxZEqvVSt26dencuTMbNmxwSv8FTVpaGo899himafL55587te/mzZsTExPDqVOnmDBhAo899hhr164lODj4tvrdsGEDH330ERs3bnTaqN3lHn/88Yz1mjVrUqtWLSpUqMCKFSu4//77b6tvu90OQPv27XnppZcAqF27Nr/99hvjx4/nnnvuua3+rzRp0iS6du3qtP/XffLJJ/z+++/MmzePMmXKsGrVKnr37k14ePhtjzK7u7sze/Zsnn76aYKCgrBarURFRdGmTZtsX+SeE99Lt0sjIznohRde4KeffmL58uWUKlXKaf16eHhQsWJF6tWrx/Dhw4mMjOSjjz5ySt8bNmzgxIkT1K1bFzc3N9zc3Fi5ciUff/wxbm5uTvnXz+UCAwOpXLkyu3fvvu2+wsLCrgpkd9xxh9NOA1104MABli5dyjPPPOPUfl955ZWM0ZGaNWvy5JNP8tJLLzl1hKpChQqsXLmSpKQkDh06xLp160hLS6N8+fJOew+A0NBQgKuuxD9+/HjGvrzuYhA5cOAAS5YscfrU6r6+vlSsWJFGjRoxceJE3NzcmDhx4m33+8svv3DixAlKly6d8Rk+cOAA//nPfyhbtuztF36F8uXLU7x4cad8hosXL46bm1uufI5/+eUXdu7c6bTP8blz53j99dcZM2YM0dHR1KpVixdeeIFOnToxatQop7xHvXr1iImJIS4ujmPHjrFw4UL++eefbH1+r/e9FBoaSmpqKnFxcZna59ZnVmEkB5imyQsvvMCcOXP4v//7P8qVK5ej72e32zPOJ96u+++/n61btxITE5Ox1K9fn65duxITE4PVanXK+1yUlJTEnj17CAsLu+2+mjZtetWtart27aJMmTK33fflJk+eTHBwMG3btnVqv2fPnsViyfyRtFqtGf9adCZfX1/CwsI4c+YMixYton379k7tv1y5coSGhrJs2bKMbQkJCaxdu9bp1zflhItB5O+//2bp0qUUK1Ysx9/TWZ/jJ598ki1btmT6DIeHh/PKK6+waNEiJ1Sa2eHDh/nnn3+c8hn28PCgQYMGufI5njhxIvXq1XPadTppaWmkpaXlymc4ICCAEiVK8Pfff7N+/fosfX5v9r1Ur1493N3dM31md+7cycGDB3PlM1soT9MkJSVlSvH79u0jJiaGoKAgSpcufdv99+7dm2nTpvHDDz/g5+eXcb4tICAAb2/v2+p74MCBtGnThtKlS5OYmMi0adNYsWKF0/4n4+fnd9W1Lb6+vhQrVswp17y8/PLLREdHU6ZMGY4ePcqQIUOwWq107tz5tvt+6aWXaNKkCcOGDeOxxx5j3bp1fPHFF3zxxRe33fdFdrudyZMn0717d9zcnPvxiY6O5r333qN06dJUr16dTZs2MWbMGHr27Om091i0aBGmaVKlShV2797NK6+8QtWqVenRo0e2+7rZ56hfv368++67VKpUiXLlyjFo0CDCw8Pp0KHDbfd9+vRpDh48mPHsj4tfXqGhoVn6V9yN+g8LC+ORRx5h48aN/PTTT9hstozPcFBQEB4eHrfVf7FixXjvvfd48MEHCQsL49SpU4wbN44jR45k+Tbxm/35XBme3N3dCQ0NpUqVKrfVd1BQEEOHDuXhhx8mNDSUPXv28Oqrr1KxYkVatWrllNpfeeUVOnXqxN13303z5s1ZuHAhP/74IytWrHBK/+AIxjNnzmT06NFZ6jOrfd9zzz288soreHt7U6ZMGVauXMnUqVMZM2aMU/qfOXMmJUqUoHTp0mzdupW+ffvSoUOHLF0ge7PvpYCAAJ5++mn69+9PUFAQ/v7+9OnTh8aNG9OoUaNs/Tndkhy/XycPWr58uQlctXTv3t0p/V+rb8CcPHnybffds2dPs0yZMqaHh4dZokQJ8/777zcXL158+0XfgDNv7e3UqZMZFhZmenh4mCVLljQ7depk7t692yl9m6Zp/vjjj2aNGjVMT09Ps2rVquYXX3zhtL5N0zQXLVpkAubOnTud2q9pmmZCQoLZt29fs3Tp0qaXl5dZvnx584033jBTUlKc9h4zZswwy5cvb3p4eJihoaFm7969zbi4uFvq62afI7vdbg4aNMgMCQkxPT09zfvvvz/Lf24363vy5MnX3D9kyJDb7v/i7cLXWpYvX37b/Z87d87s2LGjGR4ebnp4eJhhYWHmgw8+aK5bty5LfWflz+dK2bm190Z9nz171mzZsqVZokQJ093d3SxTpoz57LPPmrGxsU6tfeLEiWbFihVNLy8vMzIy0pw7d65T+//vf/9rent7Z/u//Zv1fezYMfOpp54yw8PDTS8vL7NKlSrm6NGjs3z7/836/+ijj8xSpUqZ7u7uZunSpc0333wzy/9/yMr30rlz58znn3/eLFq0qOnj42N27NjRPHbsWHb+iG6ZcaFIEREREZfQNSMiIiLiUgojIiIi4lIKIyIiIuJSCiMiIiLiUgojIiIi4lIKIyIiIuJSCiMiIiLiUgojIiIi4lIKIyIiIuJSCiMiIiLiUgojIiIi4lIKIyIiIuJS/w/lyqct3RlR1AAAAABJRU5ErkJggg==",
      "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": 32,
   "id": "c8389726",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:17.990491Z",
     "iopub.status.busy": "2024-01-29T05:54:17.988982Z",
     "iopub.status.idle": "2024-01-29T05:54:18.412226Z",
     "shell.execute_reply": "2024-01-29T05:54:18.410796Z"
    },
    "papermill": {
     "duration": 0.45776,
     "end_time": "2024-01-29T05:54:18.414867",
     "exception": false,
     "start_time": "2024-01-29T05:54:17.957107",
     "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": 33,
   "id": "73e0316c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:18.477019Z",
     "iopub.status.busy": "2024-01-29T05:54:18.476507Z",
     "iopub.status.idle": "2024-01-29T05:54:18.920893Z",
     "shell.execute_reply": "2024-01-29T05:54:18.919542Z"
    },
    "papermill": {
     "duration": 0.479039,
     "end_time": "2024-01-29T05:54:18.924317",
     "exception": false,
     "start_time": "2024-01-29T05:54:18.445278",
     "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": "9721b4ed",
   "metadata": {
    "papermill": {
     "duration": 0.029753,
     "end_time": "2024-01-29T05:54:18.983057",
     "exception": false,
     "start_time": "2024-01-29T05:54:18.953304",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Predict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "ac06b815",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:19.044914Z",
     "iopub.status.busy": "2024-01-29T05:54:19.044064Z",
     "iopub.status.idle": "2024-01-29T05:54:34.480987Z",
     "shell.execute_reply": "2024-01-29T05:54:34.479134Z"
    },
    "papermill": {
     "duration": 15.471654,
     "end_time": "2024-01-29T05:54:34.484823",
     "exception": false,
     "start_time": "2024-01-29T05:54:19.013169",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1/1 [==============================] - 0s 107ms/step\n",
      "1/1 [==============================] - 0s 68ms/step\n",
      "1/1 [==============================] - 0s 71ms/step\n",
      "1/1 [==============================] - 0s 64ms/step\n",
      "1/1 [==============================] - 0s 64ms/step\n",
      "1/1 [==============================] - 0s 62ms/step\n",
      "1/1 [==============================] - 0s 66ms/step\n",
      "1/1 [==============================] - 0s 67ms/step\n",
      "1/1 [==============================] - 0s 63ms/step\n",
      "1/1 [==============================] - 0s 69ms/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": 35,
   "id": "ae978005",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-01-29T05:54:34.568849Z",
     "iopub.status.busy": "2024-01-29T05:54:34.568382Z",
     "iopub.status.idle": "2024-01-29T05:54:35.225785Z",
     "shell.execute_reply": "2024-01-29T05:54:35.224351Z"
    },
    "papermill": {
     "duration": 0.700704,
     "end_time": "2024-01-29T05:54:35.229577",
     "exception": false,
     "start_time": "2024-01-29T05:54:34.528873",
     "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",
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