07_Forecasting_Dividends.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forecasting Dividends\n",
    "\n",
    "by [Magnus Erik Hvass Pedersen](http://www.hvass-labs.org/)\n",
    "/ [GitHub](https://github.com/Hvass-Labs/FinanceOps) / [Videos on YouTube](https://www.youtube.com/playlist?list=PL9Hr9sNUjfsmlHaWuVxIA0pKL1yjryR0Z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "In a [previous paper](https://github.com/Hvass-Labs/FinanceOps/blob/master/01C_Theory_of_Long-Term_Stock_Forecasting.ipynb) we found a mathematical formula for doing long-term stock forecasting. The formula was derived from the definition of annualized return and separated the stock-return into 3 components: Dividends, change in the Sales Per Share, and change in the P/Sales ratio. If you can predict these 3 components, then you can predict the future stock-return.\n",
    "\n",
    "This paper is a basic statistical study of how to predict the future Dividends and Dividend Growth. [Another previous paper](https://github.com/Hvass-Labs/FinanceOps/blob/master/05_Forecasting_PSales_Ratio.ipynb) studied how to predict the future P/Sales ratio, and \n",
    "[yet another paper](https://github.com/Hvass-Labs/FinanceOps/blob/master/06_Forecasting_Sales_Growth.ipynb) studied how to predict the future Sales Growth."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import display_jpeg\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from scipy.stats import linregress\n",
    "import statsmodels.api as sm\n",
    "\n",
    "# SimFin imports.\n",
    "import simfin as sf\n",
    "from simfin.names import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.6.0'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Version of the SimFin Python API.\n",
    "sf.__version__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Config\n",
    "\n",
    "Setup and configure the various Python packages we are using."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# SimFin data-directory.\n",
    "sf.set_data_dir('~/simfin_data/')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# SimFin load API key or use free data.\n",
    "sf.load_api_key(path='~/simfin_api_key.txt', default_key='free')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Seaborn set plotting style.\n",
    "sns.set_style(\"whitegrid\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data-Hub\n",
    "\n",
    "We use [SimFin](https://github.com/SimFin/simfin) to easily load and process financial data with the following settings:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "hub_args = \\\n",
    "{\n",
    "    # We are interested in the US stock-market.\n",
    "    'market': 'us',\n",
    "\n",
    "    # Use last-known values to fill in missing values.\n",
    "    'fill_method': 'ffill',\n",
    "\n",
    "    # Refresh the fundamental datasets (Income Statements etc.)\n",
    "    # every 30 days.\n",
    "    'refresh_days': 30,\n",
    "\n",
    "    # Refresh the dataset with shareprices every 10 days.\n",
    "    'refresh_days_shareprices': 10\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can then create a `StockHub` object to handle all the data and signal processing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11 µs, sys: 2 µs, total: 13 µs\n",
      "Wall time: 15.7 µs\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "hub = sf.StockHub(**hub_args)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Signals\n",
    "\n",
    "We can now use the stock-hub to calculate the signals that we will be using in our analysis, such as Sales Growth, Net Profit Margin, etc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dataset \"us-income-ttm\" on disk (16 days old).\n",
      "- Loading from disk ... Done!\n",
      "Dataset \"us-income-quarterly\" on disk (16 days old).\n",
      "- Loading from disk ... Done!\n",
      "Dataset \"us-balance-ttm\" on disk (16 days old).\n",
      "- Loading from disk ... Done!\n",
      "Dataset \"us-balance-quarterly\" on disk (16 days old).\n",
      "- Loading from disk ... Done!\n",
      "Dataset \"us-cashflow-ttm\" on disk (16 days old).\n",
      "- Loading from disk ... Done!\n",
      "Dataset \"us-cashflow-quarterly\" on disk (16 days old).\n",
      "- Loading from disk ... Done!\n",
      "Cache-file 'growth_signals-52a73c0c.pickle' on disk (8 days old).\n",
      "- Loading from disk ... Done!\n",
      "Cache-file 'fin_signals-52a73c0c.pickle' on disk (8 days old).\n",
      "- Loading from disk ... Done!\n",
      "Cache-file 'fin_signals-6d9b5e29.pickle' on disk (8 days old).\n",
      "- Loading from disk ... Done!\n",
      "CPU times: user 3.56 s, sys: 157 ms, total: 3.72 s\n",
      "Wall time: 3.71 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# Calculate Growth Signals.\n",
    "# We set variant='quarterly' to get 4 data-points per year,\n",
    "# but the data used to calculate the growth signals is TTM.\n",
    "df_growth_signals = hub.growth_signals(variant='quarterly')\n",
    "\n",
    "# Calculate Financial Signals. Also 4 data-points per year.\n",
    "df_fin_signals = hub.fin_signals(variant='quarterly')\n",
    "\n",
    "# Calculate the 1-year change in the Financial Signals.\n",
    "df_fin_signals_chg = hub.fin_signals(variant='quarterly',\n",
    "                                     func=sf.rel_change_ttm_1y)\n",
    "\n",
    "# Rename columns for the 1-year changes.\n",
    "def rename_chg(s):\n",
    "    return s + ' (1Y Change)'\n",
    "df_fin_signals_chg.rename(mapper=rename_chg, axis='columns', inplace=True)\n",
    "\n",
    "# Combine all the signals we have calculated.\n",
    "dfs = [df_growth_signals, df_fin_signals, df_fin_signals_chg]\n",
    "df_signals1 = pd.concat(dfs, axis=1)\n",
    "\n",
    "# Remove outliers using \"Winsorization\".\n",
    "# The outliers are removed and not \"clipped\" because it distorts\n",
    "# correlation-measures and line-fittings.\n",
    "# We can also exclude some columns from the Winsorization.\n",
    "exclude_columns = [LOG_REVENUE]\n",
    "df_signals1 = sf.winsorize(df=df_signals1, clip=False,\n",
    "                           exclude_columns=exclude_columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Extra Signals\n",
    "\n",
    "Let us now create a new Pandas DataFrame for the extra signals that we need, which are not calculated by SimFin's built-in functions above. The new signals are:\n",
    "\n",
    "- `DIVIDEND_1Y_PAST` is the cash dividends paid in the PAST 1 year.\n",
    "- `DIVIDEND_1Y_FUTURE` is the cash dividends paid in the FUTURE 1 year.\n",
    "- `LOG_DIVIDEND_1Y_PAST` is the Log10 of `DIVIDEND_1Y_PAST`.\n",
    "- `LOG_DIVIDEND_1Y_FUTURE` is the Log10 of `DIVIDEND_1Y_FUTURE`.\n",
    "- `DIVIDEND_GROWTH_1Y_PAST` is the PAST 1-year growth in dividends.\n",
    "- `DIVIDEND_GROWTH_1Y_FUTURE` is the FUTURE 1-year growth in dividends.\n",
    "- `DIVIDEND_GROWTH_3Y_PAST` is the PAST 1-3 year average growth in dividends.\n",
    "- `DIVIDEND_GROWTH_3Y_FUTURE` is the FUTURE 1-3 year average growth in dividends.\n",
    "\n",
    "Some of these signals will be calculated using SimFin's functions `sf.rel_change` and `sf.mean_log_change`. See the SimFin documentation [here](https://simfin.readthedocs.io/en/latest/rel_change.html) and [here](https://github.com/SimFin/simfin-tutorials/blob/master/03_Growth_Returns.ipynb) for a detailed explanation of what these functions are calculating, as it would be too lengthy to explain it here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/magnus/anaconda3/envs/simfin/lib/python3.6/site-packages/pandas/core/series.py:679: RuntimeWarning: invalid value encountered in log10\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n",
      "/home/magnus/anaconda3/envs/simfin/lib/python3.6/site-packages/pandas/core/series.py:679: RuntimeWarning: invalid value encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 8.94 s, sys: 27.8 ms, total: 8.97 s\n",
      "Wall time: 8.96 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# Create a new DataFrame to hold the other signals.\n",
    "# This will have the same index as the other DataFrame.\n",
    "df_signals2 = pd.DataFrame(index=df_growth_signals.index)\n",
    "\n",
    "# Load the Cash-Flow Statements TTM data.\n",
    "df_cashflow_ttm = hub.load_cashflow(variant='ttm')\n",
    "\n",
    "# Get the data for Cash Dividends Paid TTM.\n",
    "# Note the negation because these amounts are negative.\n",
    "df_dividend = -df_cashflow_ttm[DIVIDENDS_PAID]\n",
    "\n",
    "# Cash Dividends Paid in the PAST year.\n",
    "DIVIDEND_1Y_PAST = 'Dividend 1Y PAST'\n",
    "df_signals2[DIVIDEND_1Y_PAST] = df_dividend\n",
    "\n",
    "# Cash Dividends Paid in the FUTURE year.\n",
    "DIVIDEND_1Y_FUTURE = 'Dividend 1Y FUTURE'\n",
    "df_signals2[DIVIDEND_1Y_FUTURE] = \\\n",
    "    df_dividend.groupby(TICKER).shift(-4)\n",
    "\n",
    "# Log10 of the Cash Dividends Paid in the PAST year.\n",
    "LOG_DIVIDEND_1Y_PAST = 'Log Dividend 1Y PAST'\n",
    "# Replace zeros with NaN to avoid inf-values.\n",
    "df_div_nonzero = df_dividend.replace(0, np.nan)\n",
    "df_log_div = np.log10(df_div_nonzero)\n",
    "df_signals2[LOG_DIVIDEND_1Y_PAST] = df_log_div\n",
    "\n",
    "# Log10 of the Cash Dividends Paid in the FUTURE year.\n",
    "LOG_DIVIDEND_1Y_FUTURE = 'Log Dividend 1Y FUTURE'\n",
    "df_signals2[LOG_DIVIDEND_1Y_FUTURE] = \\\n",
    "    df_log_div.groupby(TICKER).shift(-4)\n",
    "\n",
    "# Calculate the PAST 1-year Dividend Growth.\n",
    "DIVIDEND_GROWTH_1Y_PAST = 'Dividend Growth 1Y PAST'\n",
    "df_signals2[DIVIDEND_GROWTH_1Y_PAST] = \\\n",
    "    sf.rel_change(df=df_div_nonzero, freq='ttm',\n",
    "                  years=1, future=False)\n",
    "\n",
    "# Calculate the FUTURE 1-year Dividend Growth.\n",
    "DIVIDEND_GROWTH_1Y_FUTURE = 'Dividend Growth 1Y FUTURE'\n",
    "df_signals2[DIVIDEND_GROWTH_1Y_FUTURE] = \\\n",
    "    sf.rel_change(df=df_div_nonzero, freq='ttm',\n",
    "                  years=1, future=True)\n",
    "\n",
    "# Calculate the PAST 3-year average Dividend Growth.\n",
    "# These are ANNUALIZED growth-rates.\n",
    "DIVIDEND_GROWTH_3Y_PAST = 'Dividend Growth 3Y Avg. PAST'\n",
    "df_signals2[DIVIDEND_GROWTH_3Y_PAST] = \\\n",
    "    sf.mean_log_change(df=df_div_nonzero, freq='ttm', future=False,\n",
    "                       min_years=1, max_years=3, annualized=True)\n",
    "\n",
    "# Calculate the FUTURE 3-year average Dividend Growth.\n",
    "# These are ANNUALIZED growth-rates.\n",
    "DIVIDEND_GROWTH_3Y_FUTURE = 'Dividend Growth 3Y Avg. FUTURE'\n",
    "df_signals2[DIVIDEND_GROWTH_3Y_FUTURE] = \\\n",
    "    sf.mean_log_change(df=df_div_nonzero, freq='ttm', future=True,\n",
    "                       min_years=1, max_years=3, annualized=True)\n",
    "\n",
    "# Limit / clip outliers for the Dividend Growth signals only.\n",
    "columns = [DIVIDEND_GROWTH_1Y_PAST, DIVIDEND_GROWTH_1Y_FUTURE,\n",
    "           DIVIDEND_GROWTH_3Y_PAST, DIVIDEND_GROWTH_3Y_FUTURE]\n",
    "df_signals2 = sf.winsorize(df=df_signals2, clip=False,\n",
    "                           columns=columns)\n",
    "\n",
    "# Combine all the signals into one DataFrame.\n",
    "dfs = [df_signals1, df_signals2]\n",
    "df_signals = pd.concat(dfs, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These are the resulting signals for ticker MSFT:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Assets Growth</th>\n",
       "      <th>Assets Growth QOQ</th>\n",
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       "      <td>NaN</td>\n",
       "      <td>0.078906</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 58 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             Assets Growth  Assets Growth QOQ  Assets Growth YOY  \\\n",
       "Report Date                                                        \n",
       "2018-12-31        0.011156           0.004813           0.011156   \n",
       "2019-03-31        0.072441           0.017083           0.072441   \n",
       "2019-06-30        0.107044           0.088404           0.107044   \n",
       "2019-09-30        0.082820          -0.026525           0.082820   \n",
       "2019-12-31        0.092463           0.013762           0.092463   \n",
       "\n",
       "             Earnings Growth  Earnings Growth QOQ  Earnings Growth YOY  \\\n",
       "Report Date                                                              \n",
       "2018-12-31          1.425410            -0.045784            -2.336084   \n",
       "2019-03-31          1.215133             0.046200             0.186557   \n",
       "2019-06-30          1.367992             0.496992             0.486194   \n",
       "2019-09-30          1.183644            -0.190263             0.210109   \n",
       "2019-12-31          0.321457             0.090935             0.383492   \n",
       "\n",
       "             FCF Growth  FCF Growth QOQ  FCF Growth YOY  Sales Growth  ...  \\\n",
       "Report Date                                                            ...   \n",
       "2018-12-31    -0.041491       -0.483541       -0.018151      0.158263  ...   \n",
       "2019-03-31     0.003131        1.109571        0.188565      0.154241  ...   \n",
       "2019-06-30     0.186283        0.100593        0.621000      0.140295  ...   \n",
       "2019-09-30     0.207475       -0.134694        0.037593      0.129741  ...   \n",
       "2019-12-31     0.271981       -0.316112        0.373965      0.133295  ...   \n",
       "\n",
       "             Return on Research Capital (1Y Change)  \\\n",
       "Report Date                                           \n",
       "2018-12-31                                 0.031859   \n",
       "2019-03-31                                 0.020304   \n",
       "2019-06-30                                 0.005004   \n",
       "2019-09-30                                -0.001006   \n",
       "2019-12-31                                 0.027951   \n",
       "\n",
       "             Share Buyback / FCF (1Y Change)  Dividend 1Y PAST  \\\n",
       "Report Date                                                      \n",
       "2018-12-31                          1.116586      1.322200e+10   \n",
       "2019-03-31                          0.761958      1.351600e+10   \n",
       "2019-06-30                          0.595995      1.381100e+10   \n",
       "2019-09-30                          0.489950      1.410100e+10   \n",
       "2019-12-31                         -0.057611      1.444300e+10   \n",
       "\n",
       "             Dividend 1Y FUTURE  Log Dividend 1Y PAST  Log Dividend 1Y FUTURE  \\\n",
       "Report Date                                                                     \n",
       "2018-12-31         1.444300e+10             10.121297               10.159657   \n",
       "2019-03-31                  NaN             10.130848                     NaN   \n",
       "2019-06-30                  NaN             10.140225                     NaN   \n",
       "2019-09-30                  NaN             10.149250                     NaN   \n",
       "2019-12-31                  NaN             10.159657                     NaN   \n",
       "\n",
       "             Dividend Growth 1Y PAST  Dividend Growth 1Y FUTURE  \\\n",
       "Report Date                                                       \n",
       "2018-12-31                  0.078291                   0.092346   \n",
       "2019-03-31                  0.082839                        NaN   \n",
       "2019-06-30                  0.087566                        NaN   \n",
       "2019-09-30                  0.091747                        NaN   \n",
       "2019-12-31                  0.092346                        NaN   \n",
       "\n",
       "             Dividend Growth 3Y Avg. PAST  Dividend Growth 3Y Avg. FUTURE  \n",
       "Report Date                                                                \n",
       "2018-12-31                       0.069179                             NaN  \n",
       "2019-03-31                       0.071127                             NaN  \n",
       "2019-06-30                       0.073401                             NaN  \n",
       "2019-09-30                       0.075721                             NaN  \n",
       "2019-12-31                       0.078906                             NaN  \n",
       "\n",
       "[5 rows x 58 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_signals.loc['MSFT'].dropna(how='all').tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Years\n",
    "\n",
    "Let us see how many years of data we have for all the different stocks. First we need a small helper-function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def data_years(df):\n",
    "    \"\"\"\n",
    "    Calculate the number of years of data in DataFrame `df`.\n",
    "    \n",
    "    :param df:\n",
    "        Pandas DataFrame assumed to have TTM data and be\n",
    "        grouped by TICKER, and not have any empty NaN rows.\n",
    "\n",
    "    :return:\n",
    "        Pandas Series with number of years for each TICKER.\n",
    "    \"\"\"\n",
    "\n",
    "    # Count the number of data-points for each ticker.\n",
    "    df_len_data = df.groupby(TICKER).apply(lambda df_grp: len(df_grp))\n",
    "\n",
    "    # Calculate the number of years of data for each ticker.\n",
    "    # TTM data has 4 data-points per year.\n",
    "    df_data_years = df_len_data / 4\n",
    "    \n",
    "    return df_data_years"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On average we have about 6 years of Dividend TTM data for all these stocks:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    936.000000\n",
       "mean       6.300214\n",
       "std        3.083576\n",
       "min        0.250000\n",
       "25%        3.750000\n",
       "50%        7.250000\n",
       "75%        9.000000\n",
       "max       10.750000\n",
       "Name: Dividend 1Y PAST, dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate number of years of Sales Growth data for all stocks.\n",
    "df = df_signals[DIVIDEND_1Y_PAST].dropna()\n",
    "df_data_years = data_years(df=df)\n",
    "\n",
    "# Show statistics.\n",
    "df_data_years.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also plot a histogram, so we can see the distribution of how many years of data we have for all the individual companies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_data_years.plot(kind='hist', bins=50);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In some of the plots further below, we will compare e.g. the PAST 1-year Dividend Growth to the FUTURE 3-year average Dividend Growth. The summary statistics below shows that on average there is about 3.5 years of such data per company, for a total of about 600 companies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    628.000000\n",
       "mean       3.494825\n",
       "std        1.817005\n",
       "min        0.250000\n",
       "25%        2.000000\n",
       "50%        3.750000\n",
       "75%        5.000000\n",
       "max        6.750000\n",
       "dtype: float64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "columns = [DIVIDEND_GROWTH_1Y_PAST, DIVIDEND_GROWTH_3Y_FUTURE]\n",
    "df = df_signals[columns].dropna(how='any')\n",
    "data_years(df=df).describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Further below, we will also compare the PAST 3-year average Dividend Growth to the FUTURE 3-year average Dividend Growth. The statistics below show that there was only about 2.5 years of data-points per company, for a total of about 500 companies:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    513.000000\n",
       "mean       2.526316\n",
       "std        1.284215\n",
       "min        0.250000\n",
       "25%        1.500000\n",
       "50%        2.750000\n",
       "75%        3.500000\n",
       "max        5.000000\n",
       "dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "columns = [DIVIDEND_GROWTH_3Y_PAST, DIVIDEND_GROWTH_3Y_FUTURE]\n",
    "df = df_signals[columns].dropna(how='any')\n",
    "data_years(df=df).describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a fairly short data-period, because the SimFin database currently does not have any more data. What this means for our analysis, is that we should interpret the results with some caution, as the data may contain trends that are unique for that period in time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting Functions\n",
    "\n",
    "These are small helper-functions for making plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_scatter(df, x, y, hue=None, num_samples=5000):\n",
    "    \"\"\"\n",
    "    Make a scatter-plot using a random sub-sample of the data.\n",
    "    \n",
    "    :param df:\n",
    "        Pandas DataFrame with columns named `x`, `y` and `hue`.\n",
    "\n",
    "    :param x:\n",
    "        String with column-name for the x-axis.\n",
    "\n",
    "    :param y:\n",
    "        String with column-name for the y-axis.\n",
    "\n",
    "    :param hue:\n",
    "        Either None or string with column-name for the hue.\n",
    "\n",
    "    :param num_samples:\n",
    "        Int with number of random samples for the scatter-plot.\n",
    "\n",
    "    :return:\n",
    "        matplotlib Axes object\n",
    "    \"\"\"\n",
    "\n",
    "    # Select the relevant columns from the DataFrame.\n",
    "    if hue is None:\n",
    "        df = df[[x, y]].dropna()\n",
    "    else:\n",
    "        df = df[[x, y, hue]].dropna()\n",
    "\n",
    "    # Only plot a random sample of the data-points?\n",
    "    if num_samples is not None and len(df) > num_samples:\n",
    "        idx = np.random.randint(len(df), size=num_samples)\n",
    "        df = df.iloc[idx]\n",
    "\n",
    "    # Ensure the plotting area is a square.\n",
    "    plt.figure(figsize=(5,5))\n",
    "\n",
    "    # Make the scatter-plot.\n",
    "    ax = sns.scatterplot(x=x, y=y, hue=hue, s=20,\n",
    "                         data=df.reset_index())\n",
    "\n",
    "    # Move legend for the hue.\n",
    "    if hue is not None:\n",
    "        ax.legend(loc='center left', bbox_to_anchor=(1, 0.5), ncol=1)\n",
    "    \n",
    "    return ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_scatter_fit(df, x, y, num_samples=5000):\n",
    "    \"\"\"\n",
    "    Make a scatter-plot and fit a line through the points.\n",
    "    \n",
    "    If there are many data-points, you can use a random\n",
    "    sample for the scatter-plot, but the linear formula\n",
    "    is still found using all the data-points.\n",
    "    \n",
    "    :param df:\n",
    "        Pandas DataFrame with columns named `x` and `y`.\n",
    "\n",
    "    :param x:\n",
    "        String with column-name for the x-axis.\n",
    "\n",
    "    :param y:\n",
    "        String with column-name for the y-axis.\n",
    "\n",
    "    :param num_samples:\n",
    "        Int with number of random samples for the scatter-plot.\n",
    "\n",
    "    :return:\n",
    "        matplotlib Axes object\n",
    "    \"\"\"\n",
    "    \n",
    "    # Select the relevant columns from the DataFrame.\n",
    "    df = df[[x, y]].dropna(how='any').reset_index()\n",
    "\n",
    "    # Fit a line through all the data-points and get stats.\n",
    "    slope, intercept, r_value, p_value, std_err = \\\n",
    "        linregress(x=df[x], y=df[y])\n",
    "\n",
    "    # Show the fitted line and its stats.\n",
    "    msg = 'y = {0:.2f} * x + {1:.2f} (R^2={2:.2f}, p={3:.0e})'\n",
    "    msg = msg.format(slope, intercept, r_value**2, p_value)\n",
    "    print(msg)\n",
    "    \n",
    "    # Only plot a random sample of the data-points?\n",
    "    if num_samples is not None and len(df) > num_samples:\n",
    "        idx = np.random.randint(len(df), size=num_samples)\n",
    "        df = df.iloc[idx]\n",
    "\n",
    "    # Make the scatter-plot with a fitted line.\n",
    "    # This uses the smaller sample of data-points.\n",
    "    ax = sns.jointplot(x=x, y=y, kind='reg', data=df,\n",
    "                       line_kws={'color': 'red'},\n",
    "                       scatter_kws={'s': 2})\n",
    "\n",
    "    return ax"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Regression Function\n",
    "\n",
    "This is a small helper-function for doing multiple linear regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def regression(df, y, standardize=True, use_constant=True):\n",
    "    \"\"\"\n",
    "    Perform multiple linear-regression on the given DataFrame.\n",
    "    \n",
    "    :param df:\n",
    "        Pandas DataFrame with signals and returns.\n",
    "        \n",
    "    :param y:\n",
    "        String with column-name for the dependent variable.\n",
    "        This will be taken from the DataFrame `df`.\n",
    "        \n",
    "    :param standardize:\n",
    "        Boolean whether to standardize the predictor variables\n",
    "        so they have 0 mean and 1 standard deviation.\n",
    "\n",
    "    :param use_constant:\n",
    "        Boolean whether to add a 'Constant' column to\n",
    "        find the bias.\n",
    "    \n",
    "    :return:\n",
    "        StatsModels Regression Results.\n",
    "    \"\"\"\n",
    "    \n",
    "    # Remove rows with missing values.\n",
    "    df = df.dropna(how='any').copy()\n",
    "\n",
    "    # DataFrame for the x-signals.\n",
    "    df_x = df.drop(columns=[y])\n",
    "    \n",
    "    # DataFrame for the y-signal.\n",
    "    df_y = df[y]\n",
    "\n",
    "    # Standardize the signals so they have mean 0 and std 1.\n",
    "    if standardize:\n",
    "        df_x = (df_x - df_x.mean()) / df_x.std()\n",
    "\n",
    "    # Add a \"constant\" column so the regression can find the bias.\n",
    "    if use_constant:\n",
    "        df_x['Constant'] = 1.0\n",
    "\n",
    "    # Perform the regression on this data.\n",
    "    model = sm.OLS(df_y, df_x).fit()\n",
    "    \n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Past vs. Future Dividends\n",
    "\n",
    "Let us first compare the PAST and FUTURE Dividends. The first scatter-plot shows the raw cash amounts in USD. This fits a straight line with $R^2$ nearly 1, so it is a really good fit. But it has a tremendous range of values between zero and 14b USD, and the majority of points are concentrated in a small value-range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 1.05 * x + 13152720.73 (R^2=0.98, p=0e+00)\n"
     ]
    },
    {
     "data": {
      "image/png": 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EEG5JAkoIIYRbkoASQgjhliSghBBCuCUJKCGEqC6jEaxWV1dRb0lACSFEdRiNkJbm6irqNQkoIYSoKqMRdu2CWbPgwAFXV1Nv1bkNC4UQwqVMJti5E8aOhcxMaNgQOnVydVX1krSghBCiskwmpeUUG6uEU0gITJ7s6qrqLQkoIYSojIIC2L0bxoyBjAwIDoYNG6BNG1dXVm9JQAkhREUKCuC775RwunQJgoLg3Xfh+utdXVm9JgElhBDlKSyEH36A0aPhwgUIDFTCqW1bV1dW70lACSGEPWYz/PgjjBoF589DQACsWwcxMaDRQKNG4OG8r9FLuQW89p+jTns/V5NRfEIIURazGfbsgQcegHPnwM8P1qyBG29Uwik0VOnqc6L0bCPH0gud+p6uJC0oIYT4K7MZ9u5VwiktDRo0gLVroUMHl4UTQKHFxqAOEU5/X1dxWEDNnj2bbt26MXjw4HLPS0xMJCYmhq+++spRpQghROVZLPDzzzByJJw9C76+sHo13HSTEk6NGxeHkyE1mzmbD2JIzXZaeRGBPk57L1dzWEANHz6c1atXl3uOxWLhtddeo0ePHo4qQwhRT528ZKr9cLBY4NdflXA6c0YJp3feUSbiFoVTYGDx6fF7kvnswFni9yTXXg0V+DU5w2nv5WoOuwfVuXNnTp8+Xe45GzZsYMCAARw8eNBRZQgh6qmtR7PZnZwPwKJh7Wt+QasV9u2D+++H06fBxwfefhtuvbXMcAKI7RpV6r+O5qGBc5eNTnkvd+CyQRLp6els376d9957r0oBZTKZMBgMtVaH0Wis1evVNneuz51rA6mvpty9vn4tvAHo3thS4zq1Gg3eR48S/o9/4HX2LFa9ntTnn8cYEoImKQlCQymwWLCdPXvNa2Pb6iDzDIbMM8WPVfV3FxMTU6nzrDYI9chz679Lddj7/C4LqEWLFjF9+nS0Wm2VXqfX6yv9x6wMg8FQq9erbe5cnzvXBlJfTbl7fWBgWO8uNb+M1Qq//QZPPaXcc9Lr8XjrLZp262a35VRhZQ783fW5pQ1twwMccm1347KAOnToENOmTQMgIyODb7/9Fp1OR9++fV1VkhBCbWw2OHRI6dZLSgIvL1i5EmoQTo6WlmWUgHK0nTt3Fv88a9Ys7rjjDgknIYTz2Gzw++8wYgScOAGenvDGG9Cjh9uGE8CZzHxXl+A0DguoadOmsXfvXjIyMujZsydTpkzBbDYDMHr0aEe9rRBCVMxmg8OHlXA6flwJpxUroGdPtw4ngFA/vatLcBqHBVRcXFylz3355ZcdVYYQQpRms8GRI3DffXDsmBJOy5bBHXe4fTgBRDVs4OoSnEZWkhBCqMuxY0o4HTkCOh38619w5511IpwACi1WV5fgNBJQQgj1+OMPpVvv8GHQaiEuDvr2rTPhBMogCbWQgBJCqMOffyrh9PvvSji99hoMGFCnwgmUctVCAkoIUf8lJSnhdPCgsj3GkiUwcGCdCyeQtfiEEKL+KAqnAweUQHr5ZRg0qE6GE4DeUz1f2+r5pEKIesOQms3yH89XvFDsqVPKgIh9+66G09ChdTacAC7mFLi6BKeRgBJC1Dnxe5LZdTKn/FXET59WwunXX5XjRYvg3nvrdDgB5BaYXV2C08iOukKIOie2axQZGRn2VxE/e1ZZvujnn5XjhQuVbr46Hk4AIb5eri7BaaQFJYSoc2IiApjSLZSYiDLWpEtLU8Jpzx7leP58ZX+nehBOAEG+nq4uwWmkBSWEqD/S05Vw+t//lON582DUKCWcwsIgoO4vsppfaHF1CU4jLSghRP1w/rzSUvr+e+V4zhwYO7ZehRPAZaN67kFJQAkh6r6icNq9WzmePRseeqjehROAt65qe+jVZRJQQoi67eJFpRtv1y7leMYMGDeuXoYTgL+3eu7MSEAJIequjAwYPRqK9pd7+mmYMKHehhOA2WpzdQlOIwElhKiTvPLylHD65hvlgaeegokT63U4AWTlF7q6BKeRgBJC1D3Z2YQ9/TT85z/K8ZQpMGkSaDR8l+XB3esOsC0x1bU1Ooy0oIQQwj3l5MCDD+L37bfK8RNPwOTJxS2nl344gyH1MnHbj7q2TgcJ9FHPPCgJKCFE3ZGTA7Gx8PnnyvHjjyutpxLdelN6R9O6cQOm9W3j2lodxEurnlF86hkOIoSo2/Ly4OGH4bPPAMi47z6Cn3pK2T6jxD2ngR0iGNghwpWVOpTRrJ6JuhJQQgj3l5enDB3/9FPlePx4Lo0YQfBfwkkNCsyy5bsQQriHvDwYPx42blSOH34YZsxAo9OpLpwAvGU/KCGEcANGIzz2GHz8sXL84IPKKhEeHsrCryoLJwC9rCQhhBAuZjIp4RQfrxyPGaOsr3elW6/A29u19bmITNQVQghXMpmUeU3r1yvHDzwAc+eWGhBhs6nni7qk/AL1DJKQgBJCuJeCAmXo+Lp1yvH998MLL4BWq8p7Tn/lqdW4ugSnkYASQriPggJ48kl45x0Asu8eQtztY/nzklHC6QpvT7kHJYQQzlVYCNOmwVtvKcdDh7Lm7vH8cDKTbecsEk5XqKlnU+ZBCSFcr7AQpk+HN95QjgcPhsWLGZphwjPSQt/bol1bnxvJK1TPhoUSUEII17JYYOZMeP11AC7fOYDV/SYwNMNEy3YtmSwtp1Ks6pmn67guvtmzZ9OtWzcGDx5c5vOff/45Q4YMYciQIYwaNYojR444qhQhhLuyWGDWLPjnP5XjAQNYfc/jfJ+URYJ065XJ10vuQdXY8OHDWb16td3nmzVrRnx8PF988QWTJk1i7ty5jipFCOGOrFYuTZsBr72mHPfvD0uXMrRzc+7o2Y5+0q1XJq2HekbxOayLr3Pnzpw+fdru8506dSr+uWPHjqSlpTmqFCGEu7FaYd48Ql6PA+B4h9tovXQpeHnRst11TOnm7+IC3ZdJRWvxucU9qE2bNtGzZ89KnWsymTAYDLX23kajsVavV9vcuT53rg2kvppyVH1ajYaGK1fScPlyAI62uZn06dPxOHtWWSHizJlKTcJ1599fVWuLiYmp9LlH/zhO4UV9dcpyW/Y+v8sDas+ePWzatIkPPvigUufr9foq/TErYjAYavV6tc2d63Pn2kDqqymH1GezwYsvwpVwyu3anTbvrKKNXg/h4eBf+ZaTO//+HFlb2+tb0yrUzyHXdjcunQd15MgRnnvuOVauXElwcLArSxFC1AJDajZzNh/EkJp97ZM2GyxeDPPmAfBr5I2sfuD/oBrhpGZeWvVMX3XZJz179ixTpkzh1VdfpUWLFq4qQwhRi+L3JPPZgbPE70ku/YTNBq++qiz2CuTdehs//N8LDLmtlYRTFRkL1bMWn8O6+KZNm8bevXvJyMigZ8+eTJkyBbNZmWA2evRo3njjDTIzM5k/fz4AWq2WT4s2IxNCOIUhNZv4PcnEdo0iJqLmQ7pju0aV+i+ghFNcnDKcHMjo0IkNY6YzuGtrWrZrJeFURdlGmahbY3FxceU+v2jRIhYtWuSotxdCVEJRiwdg0bD2Nb5eTETAtddZtkxZJQJIbHI9y/tOIuN0Hpp0i4zWqxb1rHXk8kESQgjXKbPFU5uWL1fW1wPyb7qZXQ/N5uE2zdhf6CXznKpJ56Gee1ASUEKoWJktntqyciVMnap08XXqhM877/Ckvz+EhdFDVoioNp1styGEEDXw1lvKnk42G3TsqGyfcSWcZPmimvGUUXxCCFFNq1fDP/6hrBbRoYNyLOFUa3QqWupIAkoIUXvWrYPHH1fCqV07WLNGCSUJp1ojLSghhKiq9eth4kRlhfIbboC1ayEwUMKplmnU04CSgBJClO3kJZP9VSH+6oMPYMIEMJuhbVslnIKCJJwcQE2LxUpACSHKtPVodtmrQvzVRx/BuHFKOF1/vdLNFxIi4eQgBRJQQoj6rtx184DBbQIY2rFJ+XOkNm2Chx5StmyPjoZ334WGDSWcHMhLp56vbZkHJYRKVbSKRIsQPQO7l7Mi9+bNMHasEk6tWinh1KiRhJODqWmxWAkoIVSqRqtIfPYZjB4NBQXQsiW89x6Ehko4OYHsqCuEqPeqvYrE1q3wwANgMkHz5krLqXFjCSdR69TTVhTCwSq6p1MvfPUVjByphNN11ylDy8PDJZycSD1LxUpACVFr7O6FVF98/TWMGAH5+dCs2dVwCg+XcBIOIV18QtQSh68M7ko7d8Lw4ZCXB02bwoYN0KSJbDYoHEoCSoha4tCVwV1p1y645x7IzVVCaf16JaQknFzCZlNPJ5908Qkh7PvuOxgyRAmn8HAlnCIjJZyEU0hACSHK5JeYCIMHQ06OMghi/XqIipJwEk4jXXxCqJAhNZv4Pcl0b9WIrQeVybpT+kQTE3FlsMOePTT5+9/h8mVlftP69dCihRJUEk4upaIePgkoIdSoaMThTycvknQhD4BgXy/lHtrevXD33WhLhlPLlhJOwukkoIRQoaKRhiVbULFdo+DXX+GuuyAzE3NQELr33oPWrSWchEtIQNVxRV01sV2jrnbPCFGBkiMOB3aIUB7cvx8GDICMDAgJ4eyiRVwXHS3hJFxGBknUcfV+cqhwjt9+g3794OJFZR+nd9/F3KqVhJNwKWlB1XH1enKocI5Dh0qH03vvQUyMMilXwkm4kARUHVdvJ4cK5zh8GO68E86fV5YrWrtW2a49LAzT6dOurk6UQU2j+KSLTwi1OnJECadz55SW0tq10L69dOsJtyEBJYQaHTumhFNaGvj5KeF0000STsKtSEAJoTYnTkCfPnD2LDRoAGvWQMeOEk51hE1FG25IQAmhJn/+Cb17w5kz4OsL77wDnTpJOAm35LCAmj17Nt26dWPw4MFlPm+z2XjxxRfp168fQ4YM4ffff3dUKUIIgKQkJZxSUq6GU+fOxeG0LTGVvnG72JaY6upKhQAcGFDDhw9n9erVdp/fvXs3SUlJfP311yxcuJAXXnjBUaUIoUqldvhNSVHC6dQp8PGBt96CLl1KtZzith/l+Llc4rYfdXHlojwyiq8WdO7cmcDAQLvP79ixg3vvvReNRkPHjh3Jzs7m3LlzjipHCNUpmsT99de/wh13KC0ob29YtQq6dr2mW29a3za0btyAaX3buKxmIUpy2Tyo9PR0wsPDi4/Dw8NJT0+ncePG5b7OZDJhMBhqrQ6j0Vir16tt7lyfO9cGUl/3xhb0oSb+PncipJzC6uVF2ty5GCMiIC/vmnlOLTxh+d1hQCYGQ6bqf381UdXaYmJiKn3uiRMnyD/vWZ2y3Ja9z++ygCprV0iNRlPh6/R6fZX+mBUxGAy1er3a5s71uXNtIPXFpKczcPwDkHIKvLzwWLmSJr16VXpAhNp/fzXhyNpatmpFi0YNHHJtd+OyUXzh4eGkpaUVH6elpVXYehJCVNK5c0q33rFj4OkJK1ZAFcJJuC/Z8h2lGVmkoKCg1HMHDhyo8Rv36dOHLVu2YLPZOHDgAP7+/hJQQtSG8+eVcDpyRAmn5cuVARISTvWCVT35ZD+gpk+fXvzzAw88UOq5+fPnV3jhadOmMWrUKE6ePEnPnj3ZuHEjH374IR9++CEAvXr1IjIykn79+jF37lyef/756n4GIUSRixeVSbgGA+h08K9/KStGSDjVI+pJKLv3oEo2I//apKxMEzMuLq7c5zUajYSSELUpI0MJp0OHQKtVwql//2vCSfYQq9ukBUXpAQt/HbxQmcEMQggnysxUwikxUQmnuDhl88EyWk6yh1jd5qGir1+7Lai0tDRefPFFbDZb8c+gtJ7S09OdVqAQogJZWUo33oED4OEBr70GAwfa7daTPcTqNi+t1tUlOI3dgJoxY0bxz+3atSv13F+PhRAukp2tbDa4b58STkuWwODB5d5zkj3E6jY1dWDZDahhw4bZfdGZM2ccUowQogouX1bC6eefsWk0nHt2PmH33FMcTnKvqX7KL7S4ugSnKXce1P79+/nqq6+4ePEiAEeOHOHpp59mzJgxTilOCGFHbq5yj2nvXmwaDf/sM461oR14/fdsDDnKXXS511Q/mQqtri7Baey2oF555RV27dpFTEwM77zzDr179+aDDz7gscce46WXXnJmjUKIkvLy4K674McfATg/c3dW/JQAACAASURBVC5eLbqSFxDC2t8ukG71ZNGw9nKvqZ7Se6pnlyS7AfXtt9+yZcsW9Ho9WVlZ3H777Xz++ec0b97cieUJIUo6eiKNBsOG0OzgL8oDCxbQePRoJoeFYcixka9PLg4kuddUP3lpJaDw9vZGr9cDEBgYSIsWLSSchHCBbYmpxG0/yozbr6Pt38dcDafnn4fRo4vvOcX4I4GkAh4qGiVhN6BOnTrF448/Xnx85syZUserVq1ybGVCCEDZpyktPYsm40Zx3eGfATj/1AxCY2NlhQhRr9kNqJUrV5Y6Hj9+vMOLEUJc65lezWny8CjaXQknnn2W0EcegfBw8PNzbXHC6Wyy1BF06dLFmXUIIcpSUMCAuf+A339SjmfNAgknoRJ2A2rIkCGljjUaDcHBwdx2221MmDCh+P6UEMJBCgpg+HD48kvl+JlnYMIECSehGnYDqqx7TFlZWWzevJmFCxcWL30khHCAwkK4/35ISFCOn34aJk6UcBKqYjegmjZtWuZjN9xwA/fee69DixJC1cxmeOAB+Pxz5XjqVHj8cQknAYCK9ius3o66Vqt6ZjILUVmG1GzmbD6IITW7+hcxm5Wh45s3K8dTpsDkyRJOopiKRpnbb0H9/vvv1zyWnZ3N559/TufOnR1alBB1UdHSQlDN+UgWCzz4IGzapBw//rgSUBJOQqXsBtTLL79c6lij0RAUFMRtt93GyJEjHV6YEHVNjZYWsljg4Yfho48AyBg7jvdvHsJAnT8tJZxECRrU04SyG1CxsbEMGDDAmbUIUadVe2khq1UZOv7++8rxhAm832U42zO1nPvtAgtahNduoULUEXbvQclKEUI4gdWqDB3fsEE5HjcOZs5kYL9OdLi+KaNvu86l5Qn3I/eghBCOZ7XCY4/Bu+8CsKfHIML+/iQtIiJo6ecnLSdRJjWN4rMbUH/++ec1k3VL+uKLLxxSkBCqYLPRZOFC+PhjALbccAfrbh5Bn/MwVe45iXIUWNSzYaHdgGrWrJl08wlRS0rtbhvuD5MnE3glnLKGjsDQ+0E6h0fQv0srF1cq3F1egQQUnp6eZU7WFUJQ5e3Ui4eg22ws2rUaihZjHjmSS0/OxPeChv5dWsnW7KJCOg/17Adl95N26tTJmXUIUadUdTv12K5RDL0pgulfvw3LlwOQ3a8fLFzI5xc0rPvtvGzNLirF10vr6hKcptwuvnXr1hUfF82DuuWWW4iMjHRKcUK4q6rOeYoJ92fRjxvgrTeUB4YN4+JjjxHQpAn9/a2cs+pka3ZRKTqteobx2Q2ovLy8ax47ffo0q1atYsqUKQwaNMihhQnhzqo058lmgzlz4LXXlOMhQ2DxYmwmE/j5EeMnO+GKypNRfMDkyZPLfDwzM5NHHnlEAkqIypo3DxYvVn4ePBiWLIGmTTGlpLi2LlEnWVWUUFW+2xYUFIRNRb8gIWrkhRegaGuau+8uDidZW09Ul5qWOqpyQP34448EBMhIIyEq9OKLMH++8vOAARAXB82aSTiJGpGVJLh2R11QNixs3Lgxr7zySqUuvnv3bhYtWoTVauX+++9n4sSJpZ4/e/YsM2fO5PLly1gsFqZPn06vXr2q+BGEcEMvvwxz5yo/9+sH//qXhJMQVVTpHXWLRvH5+vpW6sIWi4UFCxawbt06wsLCuO++++jTpw+tW7cuPufNN9/k7rvvZsyYMRw/fpyJEyeyc+fOan4UIdzEkiUwe7byc58+sGyZhJMQ1WC3i+/333+nadOmNG3aFD8/P5o0aVLpcAJITEwkKiqKyMhIvLy8GDRoEDt27Ch1jkajIScnB4DLly/TuHHjan4MIdxEXBzMmAFAbrcerBwxlT+9gyWchKgGuy2oN998k/79+wMwbtw4Nhft8FlJ6enphIdfXewyLCyMxMTEUudMnjyZCRMmEB8fT35+fql5V/aYTCYMBkOVaimP0Wis1evVNneuz51rA+fXF/L++4QtWgRA3i23sGLo4/wv25PDu/7gCWOGy+urKqmv+qpaW0xMTKXPPXHiODnpntUpy23Z+/x2A6rkSL3qjNor6zWav9zdS0hIYNiwYYwfP579+/czY8YMtm7dikc5S3no9foq/TErYjAYavV6tc2d63Pn2sDJ9b3xBlwJJ3r0wPett7jfJ4Sc384z5rayl0OS31/NuHN9jqytdevWNAuufG9WXWY3oIxGI4cPH8ZqtWIymTh8+HCp0LnxxhvLvXB4eDhpaWnFx+np6dd04W3atInVq1cDcPPNN2MymcjIyKBhw4bV+jBCuMSqVVA0b/Bvf1OOr7uOln5+LJQtM0Qt++s/9OszuwEVGhrK4iuTCxs1alT8Myi/oPXr15d74fbt25OUlERKSgphYWEkJCSwdOnSUudERETw448/Mnz4cE6cOIHJZCIkJKQmn0cI53rnHZg0Sfn5ttvgrbcgKkruOQlRC+wG1IaiHT6re2Gdjnnz5vHoo49isVgYMWIE0dHRLFu2jHbt2nHnnXcya9YsnnvuOd599100Gg0vv/yyqv51IOq4deuUDQcBOndWwqp5cwkn4VBq+oZ06I66vXr1umZe09SpU4t/bt26NR999JEjSxDCMdavV7Zqt9nglltg9Wpo0ULCSYhapJ6NRYSoAUNqNnM2H8SQmg3vvw/jxinhdPPNsGYNtGwp4SRELbMbUFar1Zl1COHWivZ/+n3pW/DQQ0o4dewIa9dC69YSTkI4gN2AGjZsGPv373dmLUK4rdiuUcwzHmLEv2aD1Qrt2yv3oKKjoUEDV5cnRL1kN6AWLFjAokWLeO6558jKynJmTUK4nZgftzNy6Uw0FgvceCO8956Ek3AJNe0lYXeQxE033cTGjRv58MMPGTFiBD179iw1gfa5555zSoFCuNyWLfDAA2CxQEyMEk7XXy/hJFzCYlFPRJU7ii8zM5ODBw8SEhLCjTfeWO4KD0LUS198ASNHgtkMbdooo/fatoUGDTCkZhO/J5nYrmWvFCGEIxSqaHyA3YD68MMPWbNmDRMmTOCll16S+UlCfRISYMQIKCxUWkzr1ystqCstp6KBE6Dco5KwEs5glhYU/PLLL3z88cey7JBQp6++guHDlXBq3Ro2bFDuPZXo1ovtGlX83/g9yWzed4afTl5k+ehOElLCYcwqakHZ7bNbunSp3XA6ceKEwwoSwuW++QbuvRcKCpT5TWWEE0BMRACLhrUnJiKA7q0aodHAyfO5LN/5h4sKF2qgphZUtW4qTZgwobbrEMI97NgB99wDJpOybFF8vDKkvIIBET+cuICx0IJ6/m0rXEVNLSi7XXwvvvhimY/bbDays7MdVpAQzvT2tydY8d/jTO7dmom2FBgyBIxGMkKbkP36O0R16FCp0XqxXaPIyCsAYEqfaEeXLVTMQ0XjAewG1CeffMKsWbPw8vK65rmtW7c6tCghnGXFf4+TbTSz970tTPx4HuTnk9konFnDZ3KDtRFTKzmUPCYigJVjb3FwtUKAt6fW1SU4jd2Aat++PdHR0XTq1Oma55YvX+7QooRwlsm9W/Pjhs9Z9eE8MOZBs2ZkrVjDDTSmf5eWri5PiGt4atUz3cduQL3++uvo9foyn9u5c6fDChKiqmoyH2mi1zml5WTMgyZNID6eqFtvrXTLSQhnU1EPn/1BEkFBQfj4+DizFiGqpWg+Uvye5Kq98KefYMAAyMkhO7gRp5a/A7feKitECLemonxy7H5QQjhDyflIlfbzz0o4Xb7M5aBGPDtiFtHaJtJyEm5PTYsmSECJOq9oPlKl/forlr790GZnYW4USsbKNUR7Rco9JyHcjASUUJcDB6CfEk6XfAPZNvUlYgf2kZaTqDPU034qJ6Aef/zxcl+4atWqWi9GCIdKTIS+fSEjA3NIQ76cuphusUPknpOoU1TUw2c/oMaPHw/A119/zYULF7jnnnsASEhIoGnTps6pTojacugQ3HknXLwIISHo3o9n7O23SziJOkejojaU3YDq0qULAMuWLeP9998vfrxPnz6MHTvW8ZUJUVsOH4Y+feDCBQgOVpYvknASwu1VOOPr0qVLpKSkFB+npKRw6dIlhxYlRK05ckQJp/PnIShIWfi1Z08JJ1FnSRdfCbNnz+bBBx8kMjISgDNnzjB//nyHFyZETXklJWF+ZDy69HQs/gFo33sP7rhDwkmIOqLCgOrZsydff/01f/75JwAtW7Ysc30+IdzK8eNEjRuH7tw5cvS+JExdxAN33inhJEQdUqlh5ocOHeLMmTNYLBaOHDkCwL333uvQwoSothMnoHdvdOfOYfHz48snF3HroyMlnISoYyoMqGeeeYaUlBTatm2LVqusoqvRaCSghHs6eZLCnr3wPHsGs48Punff5f677wZfX1dXJkStsNrUs2FhhQF16NAhtm3bpqrlNUQdlZwMvXvjefYMeZ56Nv19Dg+VCKeaLCorhLswmdWzYWGFo/iio6M5f/68M2oRovpSUqB3b0hOxurjw5fTXqL5/aVbTtVeVFYIN2IstLi6BKepsAWVkZHBoEGD6NChA56ensWPy0oSwl388auBoIH9CT13GoveG+2aNYwYOhRDcukg6t6qET+dvEj3Vo1cVKkQNaemFlSFATVlypRqX3z37t0sWrQIq9XK/fffz8SJE685Z9u2baxYsQKNRkPbtm1ZunRptd9PqNDZs4TcczcNz53GqPVk5agZTBs6tFTLyZCazaKEw+w/lYnFauOHExcY2CHChUULUX0FElBXdenShTNnzpCcnMzf/vY38vPzsVgqbmJaLBYWLFjAunXrCAsL47777qNPnz60bt26+JykpCTefvttPvzwQwIDA7l48WLNPo1Ql7Q0Cm7vRcOzyRToPFkxagZdpo6/ZkBE/J5kfjh+ERsQ4K2r2rYcQrgZDxWNB6jwHtS///1vnnzySebNmwdAeno6TzzxRIUXTkxMJCoqisjISLy8vBg0aBA7duy45tpjx44lMDAQgIYNG1bnM4h6yJCazZzNBzGkZpd9Qno69O6N15/HKdDq+HLKfKa/9Sw9b742fGK7RtG9dUMig314eXgHGSAh6jRPrXoCqsIW1Pvvv8/GjRsZOXIkAM2bN6/UUkfp6emEh4cXH4eFhZGYmFjqnKSkJABGjRqF1Wpl8uTJ9OzZs9zrmkwmDAZDhe9fWUajsVavV9vcuT5H1rb8x/PsOplDctoFAvRaBrcJoEWIHgDtxYtEjRuH/sQJrDodmx+ZQcTwAdfcczqSdpnlP+5mcJsA5nQPBAKBTAyGTIfUXFXu/LcFqa8mqlpbTExMpc89dSqZBvnp1SnLbdn7/BUGlJeXV6mVI8xmc6Xe0FbGWP2/DlW3WCwkJyezYcMG0tLSGDt2LFu3biUgwP6/cPV6fZX+mBUxGAy1er3a5s71ObK2KUFNCd6TTEZeAbuPXSA4OJiB3WPgwgVMw+9Df+IENp0Oj1WreGD06DLnOS3/cTe7k/OvvtbNuPPfFqS+mnBkba1atCAmMsgh13Y3FQZU586dWbVqFUajkR9++IEPPviAPn36VHjh8PBw0tLSio/T09Np3LhxqXPCwsLo2LEjnp6eREZG0qJFC5KSkujQoUM1PoqoT4p2yTWkZhPs66XcN7p4Efr2RX/kMIUeWr5+/DkG2QkngMFtAggODpZ7TqJe0Xqop4uvwntQ06dPJyQkhOuvv56PP/6YXr168dRTT1V44fbt25OUlERKSgoFBQUkJCRcE2x9+/blp59+ApRV05OSkooXpRUCrgZVjN6sbDb422/YtFq+eXwObadPKneFiBYheuW1cs9J1CNqGiRRYQvKw8ODkSNHFt+DqvSFdTrmzZvHo48+isViYcSIEURHR7Ns2TLatWvHnXfeye23384PP/zAwIED0Wq1zJgxg+Dg4Gp/GFE/HTUk4zvoLiJPHsGm1aJZtoyBjzwiyxcJVbIhSx0xZMiQcl/4xRdfVHjxXr160atXr1KPTZ06tfhnjUbD7NmzmT17doXXEupStCzRQzcE4XfPIJqePIJF48E3j87kLgknoWKFFgmo4pUiinbTHTp0KKAEk7e3txNKE/VJVdfBi9+TzPaf/mDSrPk0Pf47Vo0Hm8Y8xdHe9xKVZSZG8kmolEzUBZo2bQrAvn37+Oijj4ofb9OmDaNGjWLy5MmOr07UG0Xr4AEsGta+wvMfahfC47MX0OxYIjYPD7bG/h9bOw/kwOFLmLySK3UNIeojNQVUhYMk8vPz+eWXX4qP9+3bR35+vkOLEvVPbNcohnZsQmzXqHIn4RpSs/m/Nd+hGzKYyKO/gUbD9nHTWNmmLz+lGgkL1MuoPKFqWXkFri7BaSocJLFo0SKeffZZcnJyAPD39+ell15yeGGifikajQcwZ/PBa1pTRV2AuZeyiF3wBK1OHcSm0aB5+WVaPjCO1j+k0CivkAAfT7vvIYQamCzqaUFVGFDt2rXj888/JycnB5vNhr+/vzPqEvVYbNcoMvIKyMgrwJCaTUxEAPF7ktn20wnWblrAzacOAnBh1jxCJ0/m2PEsjqRdJjzAW5m06+slXXxCtVQ0Dcp+QH322WcMHTqUdevWlfn8I4884rCiRP0WExFAsK8Xnx04Wxw2tzdtwNCNC7j5z/3KSQsXEjptGvj6snT7Xo6fy8VUaC3uJhRCrTxUlFB2A6roPlNubq7TihH1y9vfnmDFf48zuXdrJvZqVeq5opCJ7RoFRiOtH3uQ1lfC6cL0Z2l0JZwApvVtQ9z2o0zr20a2yRCqJxN1URZwBRgzZgwhISFOK0jUHyv+e5xso5kV/z3O7deHlhpmXnRP6kjSef7oPpDoA/8D4MK0mTSaP6fUPKeBHSIkmIS4QkUNqIpH8Y0aNYrx48ezceNGsrKynFGTqCcm925NgLeOyb1bl73dusmE5v77iN73g3I8Zw6NFs6TSbhClMNLttu46uuvvyYxMZGEhARWrVpF69atGThwYPHEXSHsmdirVXHXXtGQ8uL7RwUFMHIkbX7ZDcDFKdNo+Oyz4OvL+HV72Xn0PH3ahLL2kS4uqV0Id2VDPQFVYQsKoEOHDsyePZuNGzcSGBjIrFmzHF2XqGdKDjOfu3Ef2feOgM8/V5585hkavrywuOW08+j54v9uS0x1Sb1CuCu5B1VCTk4O33zzDQkJCaSkpNC3b182btzojNpEPfTB98fp+cJTBBz+Tnlg2jSYPx98fIrP8dF5kH9ltnzc9qNy/0mIEmQUXwn33HMPffv25YknnuDmm292Rk2ijrO77p7ZzDMbXrwaTlOnwosvlgongKUjO7Jg6+/YbMoIPiHEVSrKp4oDaseOHdfshCtEeUquuxfbNYr4Pcl0bx5Ms6kT6fDdl8pJkyfD4sXXhBPIqD0hyuOvr/Bru96w+0kXLVrEnDlzmDRpUpnPF612LsRflZzjFL8nmS/2pdB70dN0+PUb5YRJk+CVV8oMJyFE+QJ9vVxdgtPYDaiiUXrjx493WjGifig5ICK2czNGLH+OTlfCKTN2HEGvvSZDyYWoJq2KerTsBlS7du0A6NKlC5cuXQKQCbuiaqxWYuY9Df+9MlpvwgSCXn9dwkmIGtCq6CaU3YCy2WysWLGC+Ph4AKxWK1qtltjYWNkLSpTLkJrN+/87ydOfxhH8wXrlwXHjQMJJCFEFdgPqvffeY9++fWzatInIyEgAUlJSeOGFF3j33XcZN26cs2oUdUTR6L2MXBO9/vUCwb8mKE889BC88YaEkxC1wCQbFsKWLVtYunRpcTgBREZGsmTJErZs2eKU4kTdEr8nmc/2n+GB9a/yQFE4jR0Lb74p4SRELckrMLu6BKexG1Bms7nMe04hISGYzer5BdVn5e1sWxknL5lKvT72tut4e188vb5RJnJnD7sP3npLwkmIWqSmlSTsBpSnp/2dS8t7TtQdZS7gWgVbj2Zffb3NRszSBfwt4X0AdnS4g7UPz4YGDWqzZCFUT6+r1Ap19YLde1BHjhyhU6dO1zxus9koKChwaFHCOUrtyVQNg9sEEBwcTOxt18HMmRAXB8DlQfdw8O/PM6BLa/urStQx9eVzCFGX2A0og8HgzDqEk9XGF26LED0D/9YW5syBJUuUB4cNw3/9ep7y8wNgzuaDxatK1OVt2kuujlGXP4eo+9Q0SEI9a2aIUmr6hWtIzWb5/86x4O11NPrXlXC65x5Yvx6uhBPUvJXmLurL5xB1n9Vmc3UJTiMBpVI1/cKN35PMje+9TaPvPlAeGDwY4uNLhROUXlWiLqsvn0PUfb5e6vnaVs8nFaXU9Av3qR8/JrQonO6+Gz74APz9a6k6IYQ9MkhCiDIU3bea+vMmGi9ZpDw4YAB89JGEkxBOYiy0uLoEp5GAEpUWvyeZkDeW0XjHGgCOte+CdsVaWgXIqDYhnMVYqJ5BEg5tK+7evZsBAwbQr18/3n77bbvnffXVV7Rp04aDBw86shxRQ08e+Jynr4TTwTa3MH3kc6w7eNHFVQmhLnpP9XTxOeyTWiwWFixYwOrVq0lISGDr1q0cP378mvNycnLYsGEDN910k6NKEbVh2TLCFjwHQHL7Lsx58AWydHrGyqg2IZzKx1Pr6hKcxmEBlZiYSFRUFJGRkXh5eTFo0CB27NhxzXnLli3j0UcfRa/XO6oUUVMrVsBTTyk/3347lo2b6HBDFDNvbyyTVoUQDuOwe1Dp6emEh4cXH4eFhZGYmFjqnMOHD5OWlkbv3r1Zu3Ztpa5rMplqdRKx0Wh060nJrq4v6KOPiFiwAID8Tp1IjYvDZM1hbFsdRqNZfnc1IPXVjDvXV9XaYmJiKn3usT+OkxNQv5abs/f5HRZQtjImk2lKLHJotVpZvHgxixcvrtJ19Xp9lf6YFTEYDLV6vdrmyvoOzltCxEIlnOjWDZ8vvqBlw4ZuUVtlSH01I/VVnyNri2rRktaN/So+sR5wWBdfeHg4aWlpxcfp6ek0bty4+Dg3N5djx47x0EMP0adPHw4cOMCkSZNkoIS7WLOG9gtnAHCsxY2wdSuUCCchhGtYrOpZScJhAdW+fXuSkpJISUmhoKCAhIQE+vTpU/y8v78/P/30Ezt37mTnzp107NiRN998k/btZbZ+ZdR0q4xyvfsu/P3vABxvHkP6+5ugjK1XhBDOZ7aqZ5i5w7r4dDod8+bN49FHH8VisTBixAiio6NZtmwZ7dq1484773TUW6uCwxYv3bABxo8Hmw1uuYXWX35J69DQ2ru+EKJG1NSCcuhE3V69etGrV69Sj02dOrXMczds2ODIUuodRyxeeuaNNUQ8OREPmw06dYIvvwQJJyHcillFAaWeGV/1TNFaelUZ5v3XbsGSx6dXrSN8ykQ8rFbSW7aFbdsknIRwQ2pqQUlAqchfd9AtOt4f9w5Nnvg7WpuVU01bkbvlCwgLc3G1QoiymC3qCShZi08FDKnZLN/5B9n5hfS8vlGp7sEb9mxn9D9norFaSGnSklMfbKZH+9YurlgIYU92vnp2NJcWlArE70nm69/T2fPnJYJ9vYq7BWP2/pfRcTPQWCykNm3J9L+/yleytJ4Qbu2yyezqEpxGWlAqENs1ioy8guKfAfjiC6z33Y+H2UxyaCSLnlhKdNtWsraeEG5OTfegJKBUICYigJVjbyk+PhW/iSaPjEFnLuRUo2ZMnfAqLVtG8aLsGCuE25NRfMKhHDrJtiL/+Q8R48eiMxdytlFTnprwCon485/f00udti0xlb5xu9iWmOr8GoUQdqlpkIQElAv8dTSd02zfDkOH4llYwJmQCJ4c/wqn/BphtcH1YaXX9orbfpTj53KJ237UuTUKIcpltalnJQkJKBeI7RrF0I5NanWSbYV27oQhQ8Bk4kJoE6ZOeJVjPg3RenjQo3UjXhreodTp0/q2oXXjBkzr26bMy21LTGXilhRpYQnhZCaztKCEA5WcZFvT7r7KdMUlf7oN090DwWgkJ6IZ0x5dwj5tMHkFFtKzTaRl518z4Xdghwi2T7uDgR0iyrxm3PajpGQVSgtLCCczW6QFJZykpt195XXFGVKzefb/VhI6ajj6AhPpQY35x7iX+Z8tEB9PLeO6NS+3lVSeaX3bEBnoWa3XCiGqr1BF96BkFJ+L1WRNPUNqNuEBPlzONxMe4M22xFR+OHGB2K5RxEQE8O9lHzLnjafxLTRxLjCUhU8tIze0GbaULEIaeDHi1kieG3Jjteoe2CGCFp6ZxMSU3cISQjhGoYpaUBJQLlbU3Vcd8XuSOZCSSXigngMpWaRlHyUty0TyxVyCD+5j8VvP0KDQyPmARvznn+sJCmrKwFaNiNt+lLMZRuL3JNfuSuhCCFGLJKDqsKJWV/dWjfjhxAW6t2rE1oNnubTze156/1n8THlcDGzET6s+4qi+MVsOnMWG0j0Xt/0o3Vs1uuaahtRs4vckF7fChBDuJdi3fm33Xh65B1UOl85XqkDJIBnYIYLuV1pGDQ2JvP3+HPxNeWQHNWLGY6+xR9+YsSVGDv5w4gJpWSZ+OHHhmuu6bAi8EKJSfLy0ri7BaaQFVQ6HbQpYC4pqy8grINjXi93HzhNgOMgzHz9HgCkXY0gjMj7dSsQlX64L8WXKh/uY1rcNMREB5d73csQ+U0KI2mMslHtQAvf9sjakZpORV0DP65Uuuk/3neGWjCRW/nsuAcYcMvyCmPnIy3ie0TG5dxRTPtxXPNJvYIeIcu971eSemBDC8XJVtFisdPGVw96mgK7u+ovfk8zuYxcI9vVicPsmtD13ktfXziQg/zJZDQKZPuEV/usVzn8OpRO/J7nCSbdCiLrDz1s97Qr1fNJa5Oquv5Itu68/3s6aDbMIyc8mxy+QV576F1373o7+dGbxOTERAXYn3Aoh6pbwAL2rS3AaCahqcHXXX3E33OHDtFz4GPr8bHJ8/Vk1awVbC0MZcimv1OrlQoj6I69APfegpIuvGux1/TmLITWbF5Z8IOCl6AAAIABJREFUQma329FfusBlHz+eemQxv4VHM+Sm6q3x5+puSyFE5aRmGV1dgtNIQLkxQ2o2y388f01ofPnpt0xaMJGg7EvkeDdg+rjFfBvQHH9vXZWCs+Q6fjK8XIi6ocBscXUJTiNdfFXg7Ems8XuS2XUyh+ASKz4c/99+xs+dQFDOJXL1vjw97iW+CWxBy0YNmNInulLXLfocu4+dJyUjn7jtR1k+uhPgfiMWhRClBfioZ6KuBFQVOHtwRGzXKDIyMq6Gxp9/0uieuwnKOE+e3pcZE17mm4CWhPrrWT66U6VDs+hzdIwMRO/pUTw/SoaXC+H+tB4aV5fgNBJQVeDswRExEQFM6RYKwJK3vuLx5ycQdDGdfL0Pz4xbxJcBLWka5MPbD91apRZdyc8hyxkJUbdk5Re4ugSnkYCqAme0Moq636JCfPn3rymMjGnAqWO7eez5R/HPSiffy5sZDy/iy+BorDaIauhb5ZCR1pIQdZMGyMxTz0RdCSg3U9T95qGBbKOZ/6Sf5q11s2iUlY7R05uZD71IQsj1WG3K/1ir2x8ti8IKUffYAK1GuviEkxUFRtEK41EhvuzYuY8335pFyPkzmDz1zHpoIVsbtcVDA39r1ZAAH89KD4z463tN+XAfZzOU4arSmhJCuCMJqFpS0xbJooTD/HD8IskXc4l/tCucPcvI2BkEpZ/B5OnFsw8t4PPQGKw2mHVXWyb2alXtWuP3JHMmw0jTYG8ZtSdEHeKp1XAmM9/VZTiNQ+dB7d69mwEDBtCvXz/efvvta55ft24dAwcOZMiQITz88MOcOXPGkeU4VE3nESVfzMMG/Jx0iQEzPuTPDrcRdDqJAp0Xcx6cz+bQG4u79WoSTqAMjhjeqWmVRv4JIVxPr/Mg+VKuq8twGocFlMViYcGCBaxevZqEhAS2bt3K8ePHS50TExPDJ598whdffMGAAQNYsmSJo8pxuO6tGhEeqC9zE0B7ilZv2JaYSlRDX3x0HvhnXWLF2pm0vHiaAq0nc2Pn8Wnj9lhtymvu7dikRnXKvSch6i6L1UYDL/V0fDksoBITE4mKiiIyMhIvLy8GDRrEjh07Sp3TtWtXfHx8AOjYsSNpaWmOKsfhytsEsMhflxMqanXFbT/KgZQsmhZe5v2P5hB9MYVCrY7nx85jY3hHsEGAt46VYzrxz1E316hOWTFCiLqrwGIlqmEDV5fhNA6L4vT0dMLDw4uPw8LCSExMtHv+pk2b6NmzZ4XXNZlMGAyGWqkRwGg01sr1uje2kBHlQ/fGFrvXW/7jeXadzCEjI4Mp3UKLX9Mxwoftey8wf91M2lw4RaGHjhfGzCWheSe6hurx0HowpkMwLTwzMRgyHV5nZdXW785RpL6akfqqr6q1xcTEVOo8qxW01kK3/dzVZe/zOyygbDbbNY9p7AyP/Oyzzzh06BDx8fEVXlev11f6j1kZBoOhVq4XAwzsXv45U4Kakp1g4OCFXE4WBjGwewQtWmbzyTe/seDNmbQ9n4TZQ8vLD83l+5gevHxXDC08M4mJiam1rrnK1FlZtfW7cxSpr2akvupzVG0aDei8avc70J05LKDCw8NLddmlp6fTuHHja8773//+x6pVq4iPj8fLy8tR5biFk+dz+enkRQotNhZ/aeCHExc4fyqNqYsn0Tb9T8weWhaOnsOFfoP4doyyXUZRi6nkMkuxXaPkPpIQKqTRQKFFPdttOCyg2rdvT1JSEikpKYSFhZGQkMDSpUtLnXP48GHmzZvH6tWradiwoaNKcYptianEbT/KtL5taBHaoDhATp5Xtlq/IzqU9/YkU2ixofOAy0YzX3x7mPiPn+PG9BNYPDw4uuQNLC3+xuQyhn6XXJ7I1RsmCiFcw0OjkYCqlQvrdMybN49HH30Ui8XCiBEjiI6OZtmyZbRr144777yTV199lby8PKZOnQpAREQEq1atclRJDhW3/SjHzylhdFuLhnx24CwZeQV8/8cFso1mjp+7OjTUW6fFkpnJhn/Po0PacSwaD14aOYvtlv9v787joq63x4+/ZmGXxSUBlbRcMUHMJUuDK4ILi7hgol5v1/TaptnF7Ka5fLW6lppmtvjr2rV7c7miqZW4lJJLpZim4S4uCCigCATKOjOf3x8jIwgKGDOMcp6Pxzx0PvOZmTMDzJn3dt5tWXaHVlHZ8kR1vWGiEKJuqIAinSSoWhEQEEBAQEC5Y6XJCOCLL74w59NbVHRQ+3ItKIDs/GKKdQZUGEuUmOTl8Z+YWfilnUGvUrP0z9P4ovmTkFXAyjJba5TuBxVW4sbmo8YW06TAtlJLT4h6SqVSUSwJStRUiK8nIb6eput/7tmSpXGJBHo3xa+FG1/GX8TJRktxTg5L/jcHn8unMahULP/LNNpFv0yzrSdp2dixXKuodD+oMzmnScrMB6Cho60kJyHqKeMYVMUJaA8qSVBmYtwQMBP/dk04kpoDCly+dJXPY2bjk3Icg0rF+8OmsLljIL3PZZKdX4J/O6dy3Xul+0GFdWtrakFJt54Q9ZcK2VFX1ILSRHLx2g1+PHsN+5JCVqyfQ/eU4wAsHvp3Pm3zJz4a4G3qErw9+ZTuB+XtXb51JoSon9QqFfnF9SdBmbUWn7XbkpDGhE0pbElIAypWevgj9p65yqbDlziSkoN9SSGffzWXJ5OPAvDBkFf5uG0gBgUeecjJNKYkU8aFEHdjZ6PhdEYe+cX1Y0+oep2gFu04TcrvJSzacRqovTJAJ9NyWfDdaW4U6ym5ns+/vnqbXheNVTQ+HPwKH7YPMtXWu5fnqs1EKoS4fzjZaSjRK/ySlF3XoVhEve7iiw5qz7zYo0QHtQdqZ/r2ybRcJnx5kBK9gp2umM82vsPTF48A8NGgiXzQoR+dW7jh6WZ/z88l66CEqJ+0amM1nvyi+tGCqtcJKsTX82YpIeP4zr1M3769BNH0DUdJySrAVlfCpxv/ScCFXwH4JOxFFnUcgEGBMxl5DOzkcc/bZtyeSKVCuRD1Q2nPi4Otpm4DsZB63cVXG8p2C25JSONwSg42+hI+2fRPAs8fBGBZ6PMs7BSKQTFuOHajWM+SnYn33E13+5iVtVQol65HIczLRqNCBew/d62uQ7EISVB/wMm0XE5c/h1FUXDQqpm4+lds9CV8/PV7BJ37BYB/Dfwb833CMSgwfWAHpvZrj4u9lnbuzrWWVO5lLypzsJZEKcSDSqtW06ZpAzYcvoTe8OCvh6rXXXz36mRaLkvjEjl0MZuM3CIAvtiXhFqv48NvFtAvcT8An/d/jnmdIzAoxm8CpV16EwJal+uW+6PK7kVVl9PRpQSTEObXzM2Bc1evU1iix8nuwf4If7Bf3R9UtgBs2Q/+lfsvsv1YOmUXdCs6PUu+XcjAMz8D8EW/v/JOl6GmPuPnerUq99i1Wa7IWhKDlGASwvwSr+TxWDPXBz45gSSouyotADt57WHAOKniZFou2fnFaDUq9Dpj9tEY9Cze/D5hp38E4L99xzD38UgMCjzUwJb/jnvCrJMXJDEIUX/k5JfQ1NkeRVHuuMfeg0LGoG5TdqA/Oqg9NhoVJXql3FqpPWcyaeho3LtKbdDzfuwiBp3cA8CqPqP4v+4j6NzClRAfD+YM6sTSuEReWnXIIpMHZKKCEA+2IG93jqTksPpAcl2HYnbSgipjS0Iab2xIMFULLm2VlHbzwc36ePnF/HI+C7VBz8ItHzD4xG4A1vwpipk9RmJQoGMzV74+cpkzGXkVCr2ac1q4rJES4sGlUsHzAY+SkJrDhzsTGf3Egz3eKwmqjEU7TpNbqMPFXmsazymtUl7aMunVuglnMvLIvF7Igq0fMvT4DwCs9X+GN58YjQEVPVo2ZM+Zq/h5uTKqR8sKhV5Lk0h2fjENHW1rNVFZy3iUEKL2KQpsP5bBxWv5RPXwqutwzE4SFLcWuj7T1Ysv4y/SspFTueOlW2dsP5bOmvhkFMXAu1uXEnlsJwDrno5k2pNjMKBifK9W7Eq8Skp2AXY26grbcMCt5JGdX1zrrR0ZjxLiwbY38SoKMLCTR12HYnaSoLjVoonwa4Z/24fY8OslJq35lXbuzuw5kwlAboEOvQIqxcA72z9hxNHvAdjQawj/eOpZtBo1X0/sjbenC4+Xmf1XmdIkcjIt19SCKqs2p6ALIR4sXR5uyPG0XKbEJLBibHc6NXet65DMRhIUFbvF4i9c43J2Ie3cnYnwa4aDVs3PZzNBUZj7/TJG/bYNgE1PRvBa7+cwoCKoo7upm66yVlNl7tTaKTuO9OcO8iMSQtzSpmkDnvd/lLW/pPDM/9vH9lf98WrkWNdhmUW9nsX32e5zDF55ntHL99OrdRO8PV3w9nQhOqg9zRra49fCjYvXbrD8pyQMisLsnZ8x5vAWAL7pGUa0/3gMqGjkaINfC7dys+dKx6w+232OoEW7arSlx597tiTCr5m0oIQQ5ahU0OVhN0J8PJnavx35xXoOXszi9/ziug7NLOr11/OPfjhLkR6Kbhi33Cht9ZRWZliyM5EbxXpQFGbGLWfsoW8B2NwjhL8HTMCACgcbNfnFemIOpZD+u7GqxDtDfEytILUKcgt1psevziy7si2rkzmXzP02CCHuE4oCh5NzAEhINf57Jv063Vs1wvXm0pcHSb1OUBP7tOH9707hZG9jGi8qra9XotdTpFNAUZj+w78Zd/BrALZ0G8DkPi+gR42NGgpKDNhoVDzT1YuLWfkVugtbNnIk5lBKrW7pIYQQTV3s0apVrD6QTNeWbrRo+OB189XrBDUhoDVPNy3G29sbMCanSWt+5eyVG8YTFIU3dn/BhF82ArD98WAm9X0JPWo6uDfglb7tmLr+NwpK9BxJzeGT0V1NXXh/7tnS1Aoqu62GzLITQtQGDxd7ng9ozar4i7y06jALn+nMoM7N6jqsWlWvx6DKKt1o8PyVG7g6aEFRmLrnv7wQ/xUA3z0exMtBE9HffMtuFOsJ8fUkoP1DqMuUG5GK3kIIS2nu5sDLf2pDW/cGzNh4lBK9oa5DqlWSoLiVnFKyCjBg3K3y7z+u4uX96wDY6deHl4ImoVPd2iTsemEJL606RJhPM0Z092JSYFvA2HXn5+XKnjNXTRMjhBDCXJzstIzq8TC5hTp2n75a1+HUqnrdxVdqaVwiKVkFpusv7VnN5J//B8APvn/ihX6vlktOANkFOrYfS+dMRh5LRz5ummLu7elCem4hKdkF5SZeCCHEH1U6i+92imLA2V7L+P8epEVDB7q3asQTjzTi8YfdcHexv28nUNTrBPXZ7nMs2XEBtfpWQ/Lln9fy959WA7Dbx5/nB0ZTcoeGpquDDZezC1m5/2K5caXooPZ3XagrhBD3ouwsvtu9GNCaE2m5nL1yndiENDYevoRaBb4tXAnydse/3UP4NHe9ryqg1+sENX/7KYx1YfUAvLh/HVP3fgnA3sd6M2HgFIpRowIq27vSRqNmoI+naUZe2QoQO6L/ZImXIIQQALg52vJU6yY81boJOr2B5Kx8Eq9cJ+33AhZ+d4aF353hkSZORHX3YljXFjRpYFfXIVepXicoXZnxxL/Fb+Afu/8DwE8dn+Jvoa9RdLNbb1yvVhxKzubopd/L3aetu3O5lpNUEhdCWAOtRs2jDzXg0Yca4N+uCfY2Gn44dYV1B1OZt/UUC787Tb+OHozs8TBPtW6MWm2drap6naCc7TTkFekZ98sm3tz1bwD2efdkXNjrFKqMb41aBTGHUpnYpw2ebg4cSsrm6vUimjd04M1Q73KPJ2uchBDWqEkDO4Z382J4Ny/OXsljzYEUvvo1ldijaTjbaXFzssHVwQY3B1tcHWxwcTBev+PF0QZnO63ZE5tZE9SePXt45513MBgMDB8+nAkTJpS7vbi4mNdff53jx4/j5ubG4sWLadGihTlDKqewRM9fD37DzLjlAMS378G4sDdMyQnAoBgrQby37RS2Wg19Ojx0xy0yZI2TEMKc7jRJ4m50egOp2fmm6/Y2Gsb2asWoJ7zYcyaTY5d+J69QR15hCTn5xaRk5ZNXZLxeoq9scONWLC72FZNX2eTm5lj57dVNbmZLUHq9nrlz57JixQrc3d2JjIwkMDCQNm3amM5Zt24dLi4ufP/998TGxrJw4UI++OADc4UElB8nijq4mf/b+RkAv7TtythB08hXV/6W6BVo3tCeMJ9mbD56maVxiUwKbGvWrdyFEKKsu02SuBd2Wg1dWza6w3MplOgVCkr0FBTrTf8+3NgBtUpFbkEJv5e5ZF4v5kRaLlk3qq4LqFaB883k1sjJlk0v96r0PLMlqISEBFq2bImXl3FTrdDQUHbu3FkuQcXFxTFx4kQA+vfvz9y5c1EUxayzTErHibpvX8db3y8D4FCbxxk7+E3y1TaV3sdGA40c7YgOas9P5zL57ngGcGuHXCGEuB8ZFIVinYHCEj1FOoPxUqKnUGegWKensMRAke7mbSUGCnV6zmdeR2dQuF6o40axjuuFOvKKdKadyKviaKuhgZ3WeLHX4mx/5zRktgSVkZGBh8etDbXc3d1JSEiocI6np3GdkFarxdnZmezsbBo1qjyjAxQVFXHy5Ml7jqtXUz0dk3Yw+L8LATj8qB9/HfIm19UV1wm4O2no2tyR3CI9v14uYPPBRMLau3DRy8H0WH8kluooLCw0+3PcK2uODSS+P0riu3c1ja203FpV9Ho9ael3LwCgKAq5RQau3NBx5bqOG8UGivXG1lDxzYvx/wZKqll4QqMCW40KW42Kxg1scdRCAxs1TV3UODa2w9HGAUcbNQ42ahxt1DjaqnDQqnG0vXn95sVeq0JTg3ErsyUoRanYd3l7y6g659zOzs6u2j/MynjHxMDN5PTbI748O3QmeWrjdMshfs1o7GTLf/Zf5NmeLZkR/hhQvlvQ29OFkMpbo2Zx8uTJP/R6zcmaYwOJ74+S+O6duWLTaDR4epRf/J9bUEJqdgGXcvJv/ltAfrFx6YxGrcLFXoudVoOdVo2bg9r0f3sbDbZaNfZaNXY2xmN2Wg32NuqbxzXY2RiPlU0q/u2aWKwwrdkSlIeHB+np6abrGRkZNG3atMI5aWlpeHh4oNPpyMvLw82tZgOANbbauAiX3r3pvHUra1NSyv0ivbnxKHZaDQVlmqsy+UEIYQ00ahWdmrvw7W+XOZmWx6n0XDKvG8d8NCoVrZo4EtihKR08nOng6ULrh5yw0dRuRTtnO8tN/jbbM/n4+JCUlERKSgru7u7Exsby/vvvlzsnMDCQjRs30qVLF7Zv307Pnj3Nv8p54UIYOBBGj4YGDSrcLFPFhRDWbOq6BE5n5PHoQ0483dZYHaKzlysdPV1xsNVU/QD3EbMlKK1Wy6xZsxg/fjx6vZ5hw4bRtm1blixZQqdOnejbty+RkZFMnTqV4OBgXF1dWbx4sbnCuaVNG+PlDqS1JISwVslZ+Zy7ep2V456gd9smdR2O2Zm1rRYQEEBAQEC5Y5MnTzb9387Ojg8//NCcIQghxAMjr1DHu8N860VygnpeSUIIIe4nHTyc6exjuWIGdU32gxJCiPuErbZ+fWTXr1crhBDiviEJSgghhFWSBCWEEMIqSYISQghhlSRBCSGEsEqSoIQQQlglSVBCCCGskiQoIYQQVkkSlBBCCKskCUoIIYRVkgQlhBDCKkmCEkIIYZVUSmX7rluxI0eOYGdnV9dhCCFErdFqtbRt27bK8xITE6t13oPivktQQggh6gfp4hNCCGGVJEEJIYSwSpKghBBCVGratGk8+eSThIWF1crjLViwgLCwMMLCwtiyZUuV50uCEkIIUamhQ4eyfPnyWnmsXbt2ceLECTZt2kRMTAzLly/n+vXrd72PJCghhBCV6t69O66uruWOJScnM27cOIYOHcqoUaM4d+5ctR7r7NmzdO/eHa1Wi6OjIx06dGDPnj13vY8kKCGEENU2c+ZMZs6cyYYNG/jHP/7BnDlzqnW/0oRUUFBAVlYW8fHxpKen3/U+9SZB7dmzh/79+xMcHMxnn31W4fbi4mJeffVVgoODGT58OKmpqVYT24oVKwgJCSE8PJxnn32WS5cuWSy26sRXatu2bbRv356jR49aMLrqxbdlyxZCQkIIDQ1lypQpVhXf5cuXGTNmDIMHDyY8PJzdu3dbLLaqxhgUReHtt98mODiY8PBwjh8/brHYqhPfN998Q3h4OOHh4URFRXHq1Cmria1UQkIC3t7ebNu2zUKRmc+NGzc4fPgwkydPJiIiglmzZnH16lUAvvvuO9P4UtnLuHHjAOjduzcBAQFERUUxZcoU/Pz80Gg0d39CpR7Q6XRK3759leTkZKWoqEgJDw9XEhMTy52zcuVKZebMmYqiKMrmzZuVyZMnW01s+/btU/Lz8xVFUZRVq1ZZLLbqxqcoipKXl6eMGjVKGT58uJKQkGBV8V24cEGJiIhQcnJyFEVRlMzMTKuKb8aMGcqqVasURVGUxMREpU+fPhaL78CBA8qxY8eU0NDQSm/ftWuXMm7cOMVgMCiHDx9WIiMjLRZbdeI7dOiQ6ee6a9cui8ZXVWyKYvz5jxkzRhk/fryydetWi8VWm1JSUkyvMS8vT+nVq1etPG50dLSya9euu55TL1pQCQkJtGzZEi8vL2xtbQkNDWXnzp3lzomLi2PIkCEA9O/fn3379qFYYA1zdWLr2bMnDg4OAPj5+VXZLLZ0fABLlixh/PjxFq/yUZ34YmJiGD16tKkvvXHjxlYVn0qlMg0W5+Xl0bRpU4vFV9kYQ1k7d+5k8ODBqFQq/Pz8yM3N5cqVK1YT3+OPP2663dJ/G1XFBvDll1/Sv39/i/7OmVODBg1o0aIFW7duBYwt7Oq2WvV6PdnZ2QCcOnWK06dP06tXr7vep14kqIyMDDw8PEzX3d3dycjIqHCOp6cnYCw74uzsbHoz6zq2stavX4+/v7/Z4ypVnfhOnDhBeno6ffr0sVhcpaoTX1JSEhcuXCAqKopnnnmmyoFZS8c3ceJEvv32W/z9/ZkwYQIzZsywWHxVuT1+Dw+Pu/5+1iVL/21UJSMjgx07dhAVFVXXodyz6OhooqKiuHDhAv7+/qxbt44FCxawfv16Bg0aRGhoKDt27KjWY+l0OkaPHk1ISAizZs1iwYIFaLXau97n7rc+ICprCalUqhqfYw41ed6vv/6aY8eOsXLlSnOHZVJVfAaDgXnz5jFv3jyLxVRWdd4/vV7PxYsX+fLLL0lPT2f06NFs3rwZFxcXq4gvNjaWIUOG8Nxzz3H48GFef/11Nm/ejFpd998f6+rvoqb279/P+vXrWb16dV2HYvLOO+/w2muvVT3OYsUWLVpU6fHPP/+8xo9lZ2dXrbVPZdWLBOXh4VGu6Z+RkVGhG8XDw4O0tDQ8PDzQ6XTk5eXh5uZmFbEB/PzzzyxbtoyVK1dia2tr9riqG9+NGzc4c+YMf/nLXwC4evUqL774Ip9++ik+Pj51Hh8YWy1+fn7Y2Njg5eXFI488QlJSEr6+vlYR3/r1601rTbp06UJRURHZ2dlW0S10e/zp6ekW7YKsjlOnTjFjxgz+9a9/0bBhw7oOx+TYsWNER0cDkJ2dze7du9FqtQQFBdVxZPePuv+KZgE+Pj4kJSWRkpJCcXExsbGxBAYGljsnMDCQjRs3ArB9+3Z69uxpkW+K1YntxIkTzJo1i08//dTiH1pVxefs7Ex8fDxxcXHExcXh5+dnseRUnfgAgoKCiI+PByArK4ukpCS8vLysJj5PT0/27dsHwLlz5ygqKqJRo0YWia8qgYGBbNq0CUVROHLkCM7OzlaVoC5fvsykSZOYP38+jzzySF2HU07p30RcXBz9+/dn9uzZkpxqqF60oLRaLbNmzWL8+PHo9XqGDRtG27ZtWbJkCZ06daJv375ERkYydepUgoODcXV1ZfHixVYT2/z588nPz2fy5MmA8QNt2bJlVhNfXapOfE8//TQ//fQTISEhaDQaXn/9dYt9065OfG+88QYzZszgiy++QKVS8e6771qsGy06OpoDBw6QnZ2Nv78/kyZNQqfTATBy5EgCAgLYvXs3wcHBODg48M9//tMicVU3vo8//picnBzTWhyNRsOGDRusIjbxx8l2G0IIIaxSvejiE0IIcf+RBCWEEMIqSYISQghhlSRBCSGEsEqSoIQQogo12bjvl19+YciQIXTs2LFCgdiNGzfSr18/+vXrZ1rWIu5MEpSwKG9vbyIiIggNDWXQoEGsWLECg8EAwNGjR3n77bfvev81a9awadOmCsdTU1NrbdfP+Ph4nn/++QrHs7OzGTNmDF26dGHu3Lmm41OmTClXweC3334jPDzcNOW41JgxY+jfvz+DBg0iKiqK8+fPm27Lysriscce43//+1+5+6xfv95UrTssLIwdO3YwZ84cIiIiCAkJwdfXl4iICCIiIh6IatnWqiYb93l6ejJv3rwKv485OTl89NFHxMTEsG7dOj766CN+//13c4T7wKgX66CE9bC3t+frr78G4Nq1a0yZMoW8vDxeeeUVfHx8qlzgW5frS+zs7Jg8eTKJiYkkJiaajk+bNo0RI0YwYMAA3NzcmDt3LrNnz660ztjChQvx8fFh7dq1zJ8/37SebevWrXTu3JnY2FhT7bb09HSWLVvGxo0bcXZ25saNG2RlZZkWe6ampvLCCy+Y3k9hPt27d6+wBU9ycjJz5swhOzsbe3t73nrrLVq3bk2LFi0AKpSq+vHHH+nVq5epQk2vXr3Yu3dvrX2xehBJC0rUmcaNG/PWW2+xatUqFEUxtVwMBgOBgYHk5uaazg0ODiYzM5OlS5ea6oAdO3aMQYMGMWLECFatWmU6V6/X89577zFs2DDCw8NNrZL4+HjGjBnDK6+8woABA5gyZYqp1tyePXsYMGAAI0eO5Pvvv680XkdHR7p161ahYnuTJk147rnnWLBgAWvWrKF9+/Z069btrq/AxdQwAAAD8klEQVS9W7duJCcnm67HxsbyxhtvkJ6ebirGeu3aNZycnHB0dATAycnJYhUwRNVqunFfTQtDC0lQoo55eXlhMBi4du2a6ZharSYwMNCUKH777TeaN29OkyZNyt132rRpzJgxg7Vr15Y7vn79epydnfnqq6/46quviImJISUlBTCWjZo+fTpbtmwhNTWVQ4cOUVRUxMyZM1m2bBmrV682bcBWEyNHjuTs2bN8/vnnTJ06tcrzf/jhB9q1awdAWloamZmZ+Pr6MnDgQFNBzQ4dOtCkSRP69u3LtGnTiIuLq3FcwjzutnHfndwvhXetiXTxiTpX2R9uSEgIH3/8McOGDSM2NpaQkJByt+fl5ZGXl0ePHj0AiIiIYO/evQD89NNPnD59mu3bt5vOvXjxIjY2Nvj6+pq+xXbo0IFLly7h5OREixYtaNWqFQCDBg0iJiamRq9BrVYzYsQIjh07dtcySq+99hr29vY0b96cmTNnAsbW08CBA02v+80332Ts2LFoNBqWL1/O0aNH2bdvH/PmzeP48eNMmjSpRrGJ2qcoCi4uLjXqXvXw8ODAgQOm6xkZGabfX1E5SVCiTqWkpKDRaGjcuDHnzp0zHe/SpQvJyclkZWWxY8cOXnzxxXL3UxTljt8+FUVhxowZPP300+WOx8fHl6sEr9Fo0Ov1QO18k1Wr1VVukVE6BlVWbGwsmZmZfPvttwBcuXKFpKQkWrVqhUqlwtfXF19fX5566immT58uCcoKlN24b+DAgSiKwunTp+nQocMd79O7d28WLVpkmhjx448/mqqdi8pJF5+oM1lZWcyePZvRo0dXSBAqlYqgoCDmzZtH69atK7RKXFxcaNCgAQcPHgQwfbiD8YNgzZo1lJSUAHDhwgXy8/PvGMejjz5KamqqaUwoNja2Vl5fdZw/f578/Hz27t1rqnw9YcIEYmNjycjI4Pjx46ZzT506RbNmzSwWm7ilJhv3JSQk4O/vz7Zt25g9ezahoaEAuLm58dJLLxEZGUlkZCQvv/yyRbb0uZ9JC0pYVGFhIREREeh0OjQaDREREYwdO7bSc0NCQoiMjOTdd9+t9PZ58+Yxffp0HBwc6N27t+n48OHDuXTpEkOHDkVRFBo2bMgnn3xyx5js7OyYO3cuEyZMoGHDhnTt2rXcLL2yAgMDuX79OiUlJezYsYN///vftGnTpgbvQHmxsbEEBweXO9avXz+io6MZPHgw7733HleuXMHOzo5GjRpVORAvzKMmG/f5+vrecdfm0uQkqkeqmQshhLBK0sUnhBDCKkmCEkIIYZUkQQkhhLBKkqCEEEJYJUlQQgghrJIkKCGEEFZJEpQQQgir9P8B4BiyT6OIqdEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=DIVIDEND_1Y_PAST,\n",
    "                 y=DIVIDEND_1Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us instead try and plot the Log10 dividend amounts. This effectively shows the \"number of zeros\" so that 1 million becomes the value 6 because it has 6 zeros, and 1 billion becomes the value 9 because it has 9 zeros, etc.\n",
    "\n",
    "This creates a more narrow range of values for the dividend amounts. But the line-fit is still nearly diagonal with $R^2$ near 1. This shows that the dividend amount tends to be almost the same from one year to the next, with only minor variation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.98 * x + 0.21 (R^2=0.94, p=0e+00)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=LOG_DIVIDEND_1Y_PAST,\n",
    "                 y=LOG_DIVIDEND_1Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dividend Growth Statistics\n",
    "\n",
    "Before we investigate whether some of the signals can be used to predict FUTURE Dividend Growth, let us consider some basic statistics. This shows that on average, the dividends have grown about 10.2% per year. Note that these are the total Cash Dividends Paid from the company's Cash-Flow Statement, it is NOT per-share numbers!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    17740.000000\n",
       "mean         0.102350\n",
       "std          0.148164\n",
       "min         -0.327041\n",
       "25%          0.015462\n",
       "50%          0.074145\n",
       "75%          0.152069\n",
       "max          0.759348\n",
       "Name: Dividend Growth 1Y FUTURE, dtype: float64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_signals[DIVIDEND_GROWTH_1Y_FUTURE].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also show the distribution of 1-year Dividend Growth in a histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_signals[DIVIDEND_GROWTH_1Y_FUTURE].hist(bins=100);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also show the basic statistics for 3-year average Dividend Growth. These are annualized numbers and show that on average the dividend grew about 10.3% when considering 3-year periods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    11851.000000\n",
       "mean         0.102646\n",
       "std          0.111082\n",
       "min         -0.242532\n",
       "25%          0.031781\n",
       "50%          0.086955\n",
       "75%          0.159636\n",
       "max          0.460588\n",
       "Name: Dividend Growth 3Y Avg. FUTURE, dtype: float64"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_signals[DIVIDEND_GROWTH_3Y_FUTURE].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once again we can show the distribution in a histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vYjxJkExOHm/RSpwXgPgx577IOPmYNSAR4v34vnj3j+fxfDVG7osM0y3A4kC5A8hYTL9ER7kvAjwBYCu3/iVq43w95Z4hFvLgYyoGNlnIidlot7XxA74p9wwR7cFn44gDmIuTwcq1z5d4invkyrgKCgqmLmcqyj3D2TjiABJlIaP4TBtIUe6WyoQHH5Bs0Ub08d52unR9rlHuLknmq/r0fzZGy8A8O5A4mVD0lLtLFjI9spCTP06uBzA/Tsra6XM/2dM6lPs007ckdeuP76S4KWsgPbn5HEz2+TFry30+r5LLl3ld/6dWvMVNoQOZa64PvUk2q/aWmc++KdNvM9302//PvvtiHu8Ee18AdpvtQ29me85P75GFdMpcMn7kvtCTiPGumY32uwHAqWRM0WT8yD3Zo+GF7FoHAMmS8SP3dMSIHkCqJaTcu7q6VF5erkAgoMbGxkT8irgkewkSJ0UBpJrr0zLj4+P67ne/qyNHjmj16tXasmWL/H6/brnlFrd/lWPRplImvwYA27g+cu/p6dFNN92kNWvWaOnSpaqoqFBHR4fbvwYAMAePMca4+QNPnDihN998U08//bQkqaWlRT09PdqzZ0/U23R3d8vr9boZAwCsF4lEVFhYOOv3XJ+Wme21wuPxzHmbaOEAAPPj+rSMz+dTKBSa+jocDisvL8/tXwMAmIPr5b5x40b19vbq3LlzGh0d1auvviq/3+/2rwEAzMH1aZmsrCzt2bNHjz76qMbHx/Xggw/qIx/5iNu/BgAwB9dPqAIAUo93qAKAhSh3ALDQoi73wcFB1dXVqaysTHV1dRoaGppxTDAY1Oc+9zlVVFSosrJSv/nNb1KQ1FlWSfrSl76k22+/XTt27EhywtjbToyOjqq+vl6BQEA1NTU6f/580jNOipX197//vaqrq7VhwwadOHEiBQmvFivvkSNHtGnTJlVWVuqRRx7RP/7xjxSknBAr689//nNVVlZq8+bNeuihh/Tuu++mIOUEp1ulnDhxQh/72Mf05z//OYnpFsgsYgcOHDAvvfSSMcaYl156yTz77LMzjnnvvffM3//+d2OMMaFQyHz60582Q0NDyYxpjHGW1RhjTp06ZTo6Osz27duTGc+MjY2Z0tJS8/7775tIJGIqKyvN3/72t6uOOXbsmPnOd75jjDHm17/+tfnKV76S1IyTnGQ9d+6cCQaDpqGhwbz22mspyTnJSd7Tp0+bf//738YYY15++eW0/tteunRp6nJ7e7v54he/mOyYxhhnWY2ZyPv5z3/e1NTUmJ6enhQknZ9FPXLv6OhQVVWVJKmqqkrt7e0zjvnwhz+sdevWSZJWr16t3Nxc9ff3JzOmJGdZJamkpETLly9PZjRJzrad6OzsVHV1tSSpvLxcp0+fnvVNb+mQ9cYbb9Stt96qD30o9U8RJ3mLi4u1bNkySRNvCpz+XpNkcpJ1xYoVU5f/85//xHyTY6I43Srl0KFDevTRRzPuXfSpf+Sm0MWLF6feYJWXlxeztHt6enTlyhWtXbs2GfGuEm/WZAuHw/L5fFNfr169WuFweMYx+fn5kiaWzGZnZ2tgYCCpOSdzxMqaTuLN29TUpLvuuisZ0WZwmvXll1/Wvffeq+9///v69re/ncyIU5xkPXv2rEKhkO65555kx1uwjP+wjlhqa2v1r3/9a8b19fX1cf2cvr4+NTQ06MCBAwkbzbmVNRVmG4FfOyJzckwypEsOp+LJe/z4cf3lL3/RsWPHEh1rVk6zbt26VVu3btWvfvUrHT58WAcOHEhGvKvEyvrf//5XzzzzjJ555plkxnKN9eX+k5/8JOr3Vq1apb6+PuXl5amvr0+5ubmzHvfBBx9ox44dqq+vT+g+OG5kTRUn2074fD5duHBBPp9PY2NjunTpklauXJnsqBm3RYbTvKdOndKPfvQjHTt2TEuXLk1mxCnx/m0rKiq0d+/eJCSbKVbWy5cv65133tG2bdskSf/85z/15S9/WYcPH9bGjRuTnjdei3paxu/3q6WlRdLE7pWlpaUzjhkdHdVjjz2mzZs36/777092xClOsqaSk20n/H6/mpubJUmtra0qLi5OyYg507bIcJL37Nmz2rNnjw4fPqxVq1alKKmzrL29vVOXT548qZtuuinJKSfEypqdna23335bnZ2d6uzsVGFhYcYUu6TFvVqmv7/fbNu2zQQCAbNt2zYzMDBgjDGmp6fHPPHEE8YYY1paWsyGDRvMAw88MPXf2bNn0zKrMcY89NBDpqioyGzcuNHceeedpqurK2kZT548acrKykxpaan54Q9/aIwx5oUXXjDt7e3GGGNGRkbM448/bu69917z4IMPmvfffz9p2eLN+qc//cnceeed5rbbbjOf+tSnzKZNm1KW1ZjYeR955BFTUlIy9RjdsWNH2mbdt2+f2bRpk3nggQfMww8/bN555520zTrdww8/nFGrZdh+AAAstKinZQDAVpQ7AFiIcgcAC1HuAGAhyh0ALES5A4CFKHcAsND/AqgFVnySwWeoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_signals[DIVIDEND_GROWTH_3Y_FUTURE].hist(bins=100);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Signal Correlation\n",
    "\n",
    "Let us now investigate if any of the signals can be used to predict the FUTURE Dividend Growth for a company. First we calculate the linear correlations between the various signals and the FUTURE Dividend Growth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 428 ms, sys: 0 ns, total: 428 ms\n",
      "Wall time: 430 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "df_corr = df_signals.corr()\n",
    "\n",
    "# New column names.\n",
    "SIGNALS_1Y = '1-Year Dividend Growth'\n",
    "SIGNALS_3Y = '3-Year Avg. Dividend Growth'\n",
    "\n",
    "# Create a new DataFrame with the correlations.\n",
    "data = \\\n",
    "{\n",
    "    SIGNALS_1Y: df_corr[DIVIDEND_GROWTH_1Y_FUTURE],\n",
    "    SIGNALS_3Y: df_corr[DIVIDEND_GROWTH_3Y_FUTURE]\n",
    "}\n",
    "df = pd.DataFrame(data=data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can then show the correlations between the various signals and the FUTURE 1-year Dividend Growth and the FUTURE 3-year average Dividend Growth.\n",
    "\n",
    "A correlation coefficient of 1 means the correlation is perfect so the two variables always move together, while a correlation of 0 means there is no linear relation between the two variables, and a correlation of -1 means the two variables always move perfectly opposite to each other.\n",
    "\n",
    "We will show the absolute correlation values, because we are only concerned about the strength of the correlation and not its direction here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1-Year Dividend Growth</th>\n",
       "      <th>3-Year Avg. Dividend Growth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Dividend Growth 3Y Avg. FUTURE</th>\n",
       "      <td>0.755808</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dividend Growth 1Y FUTURE</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.755808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dividend Growth 1Y PAST</th>\n",
       "      <td>0.304895</td>\n",
       "      <td>0.271199</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dividend Growth 3Y Avg. PAST</th>\n",
       "      <td>0.289479</td>\n",
       "      <td>0.258538</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Log Revenue (1Y Change)</th>\n",
       "      <td>0.180468</td>\n",
       "      <td>0.217491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sales Growth</th>\n",
       "      <td>0.175427</td>\n",
       "      <td>0.213467</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sales Growth YOY</th>\n",
       "      <td>0.167108</td>\n",
       "      <td>0.204242</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dividends / FCF</th>\n",
       "      <td>0.115312</td>\n",
       "      <td>0.176547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Assets Growth YOY</th>\n",
       "      <td>0.160180</td>\n",
       "      <td>0.163269</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Assets Growth</th>\n",
       "      <td>0.170497</td>\n",
       "      <td>0.155030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Interest Coverage (1Y Change)</th>\n",
       "      <td>0.096722</td>\n",
       "      <td>0.147889</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>R&amp;D / Revenue (1Y Change)</th>\n",
       "      <td>0.088416</td>\n",
       "      <td>0.127906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>R&amp;D / Gross Profit (1Y Change)</th>\n",
       "      <td>0.083353</td>\n",
       "      <td>0.116342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Return on Research Capital (1Y Change)</th>\n",
       "      <td>0.082262</td>\n",
       "      <td>0.115381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Dividends + Share Buyback) / FCF</th>\n",
       "      <td>0.070832</td>\n",
       "      <td>0.111366</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Assets Growth QOQ</th>\n",
       "      <td>0.098024</td>\n",
       "      <td>0.093000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dividend 1Y PAST</th>\n",
       "      <td>0.056062</td>\n",
       "      <td>0.088816</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Debt Ratio (1Y Change)</th>\n",
       "      <td>0.063503</td>\n",
       "      <td>0.088804</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Earnings Growth</th>\n",
       "      <td>0.095954</td>\n",
       "      <td>0.087591</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Earnings Growth YOY</th>\n",
       "      <td>0.080676</td>\n",
       "      <td>0.076544</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Return on Equity</th>\n",
       "      <td>0.080715</td>\n",
       "      <td>0.067970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Interest Coverage</th>\n",
       "      <td>0.055912</td>\n",
       "      <td>0.067655</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Net Profit Margin</th>\n",
       "      <td>0.104547</td>\n",
       "      <td>0.067341</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Inventory Turnover (1Y Change)</th>\n",
       "      <td>0.031864</td>\n",
       "      <td>0.064075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Asset Turnover (1Y Change)</th>\n",
       "      <td>0.001249</td>\n",
       "      <td>0.063931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Return on Assets</th>\n",
       "      <td>0.090772</td>\n",
       "      <td>0.063809</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CapEx / (Depr + Amor) (1Y Change)</th>\n",
       "      <td>0.040383</td>\n",
       "      <td>0.062966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FCF Growth</th>\n",
       "      <td>0.058953</td>\n",
       "      <td>0.059623</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dividend 1Y FUTURE</th>\n",
       "      <td>0.023919</td>\n",
       "      <td>0.058128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gross Profit Margin</th>\n",
       "      <td>0.055287</td>\n",
       "      <td>0.057145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sales Growth QOQ</th>\n",
       "      <td>0.049625</td>\n",
       "      <td>0.056312</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Return on Assets (1Y Change)</th>\n",
       "      <td>0.057133</td>\n",
       "      <td>0.049216</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gross Profit Margin (1Y Change)</th>\n",
       "      <td>0.055941</td>\n",
       "      <td>0.048597</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Net Profit Margin (1Y Change)</th>\n",
       "      <td>0.059405</td>\n",
       "      <td>0.047448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Return on Equity (1Y Change)</th>\n",
       "      <td>0.042354</td>\n",
       "      <td>0.044527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FCF Growth YOY</th>\n",
       "      <td>0.025955</td>\n",
       "      <td>0.043037</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Log Dividend 1Y FUTURE</th>\n",
       "      <td>0.065891</td>\n",
       "      <td>0.036248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CapEx / (Depr + Amor)</th>\n",
       "      <td>0.052993</td>\n",
       "      <td>0.035998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Quick Ratio (1Y Change)</th>\n",
       "      <td>0.027730</td>\n",
       "      <td>0.035968</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Earnings Growth QOQ</th>\n",
       "      <td>0.035131</td>\n",
       "      <td>0.030937</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Log Dividend 1Y PAST</th>\n",
       "      <td>0.000044</td>\n",
       "      <td>0.029096</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Share Buyback / FCF</th>\n",
       "      <td>0.026806</td>\n",
       "      <td>0.025175</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>R&amp;D / Gross Profit</th>\n",
       "      <td>0.004034</td>\n",
       "      <td>0.023879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Share Buyback / FCF (1Y Change)</th>\n",
       "      <td>0.005144</td>\n",
       "      <td>0.022640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Asset Turnover</th>\n",
       "      <td>0.028100</td>\n",
       "      <td>0.020945</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Inventory Turnover</th>\n",
       "      <td>0.024872</td>\n",
       "      <td>0.019785</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dividends / FCF (1Y Change)</th>\n",
       "      <td>0.023347</td>\n",
       "      <td>0.019037</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Net Acquisitions / Total Assets (1Y Change)</th>\n",
       "      <td>0.018729</td>\n",
       "      <td>0.017970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Current Ratio (1Y Change)</th>\n",
       "      <td>0.016695</td>\n",
       "      <td>0.015868</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Debt Ratio</th>\n",
       "      <td>0.020970</td>\n",
       "      <td>0.015864</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Return on Research Capital</th>\n",
       "      <td>0.014223</td>\n",
       "      <td>0.015439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Net Acquisitions / Total Assets</th>\n",
       "      <td>0.013261</td>\n",
       "      <td>0.013797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>(Dividends + Share Buyback) / FCF (1Y Change)</th>\n",
       "      <td>0.004929</td>\n",
       "      <td>0.011296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Quick Ratio</th>\n",
       "      <td>0.022446</td>\n",
       "      <td>0.008607</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Current Ratio</th>\n",
       "      <td>0.019325</td>\n",
       "      <td>0.007478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FCF Growth QOQ</th>\n",
       "      <td>0.004747</td>\n",
       "      <td>0.006788</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Log Revenue</th>\n",
       "      <td>0.002472</td>\n",
       "      <td>0.002246</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>R&amp;D / Revenue</th>\n",
       "      <td>0.022342</td>\n",
       "      <td>0.000227</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                               1-Year Dividend Growth  \\\n",
       "Dividend Growth 3Y Avg. FUTURE                               0.755808   \n",
       "Dividend Growth 1Y FUTURE                                    1.000000   \n",
       "Dividend Growth 1Y PAST                                      0.304895   \n",
       "Dividend Growth 3Y Avg. PAST                                 0.289479   \n",
       "Log Revenue (1Y Change)                                      0.180468   \n",
       "Sales Growth                                                 0.175427   \n",
       "Sales Growth YOY                                             0.167108   \n",
       "Dividends / FCF                                              0.115312   \n",
       "Assets Growth YOY                                            0.160180   \n",
       "Assets Growth                                                0.170497   \n",
       "Interest Coverage (1Y Change)                                0.096722   \n",
       "R&D / Revenue (1Y Change)                                    0.088416   \n",
       "R&D / Gross Profit (1Y Change)                               0.083353   \n",
       "Return on Research Capital (1Y Change)                       0.082262   \n",
       "(Dividends + Share Buyback) / FCF                            0.070832   \n",
       "Assets Growth QOQ                                            0.098024   \n",
       "Dividend 1Y PAST                                             0.056062   \n",
       "Debt Ratio (1Y Change)                                       0.063503   \n",
       "Earnings Growth                                              0.095954   \n",
       "Earnings Growth YOY                                          0.080676   \n",
       "Return on Equity                                             0.080715   \n",
       "Interest Coverage                                            0.055912   \n",
       "Net Profit Margin                                            0.104547   \n",
       "Inventory Turnover (1Y Change)                               0.031864   \n",
       "Asset Turnover (1Y Change)                                   0.001249   \n",
       "Return on Assets                                             0.090772   \n",
       "CapEx / (Depr + Amor) (1Y Change)                            0.040383   \n",
       "FCF Growth                                                   0.058953   \n",
       "Dividend 1Y FUTURE                                           0.023919   \n",
       "Gross Profit Margin                                          0.055287   \n",
       "Sales Growth QOQ                                             0.049625   \n",
       "Return on Assets (1Y Change)                                 0.057133   \n",
       "Gross Profit Margin (1Y Change)                              0.055941   \n",
       "Net Profit Margin (1Y Change)                                0.059405   \n",
       "Return on Equity (1Y Change)                                 0.042354   \n",
       "FCF Growth YOY                                               0.025955   \n",
       "Log Dividend 1Y FUTURE                                       0.065891   \n",
       "CapEx / (Depr + Amor)                                        0.052993   \n",
       "Quick Ratio (1Y Change)                                      0.027730   \n",
       "Earnings Growth QOQ                                          0.035131   \n",
       "Log Dividend 1Y PAST                                         0.000044   \n",
       "Share Buyback / FCF                                          0.026806   \n",
       "R&D / Gross Profit                                           0.004034   \n",
       "Share Buyback / FCF (1Y Change)                              0.005144   \n",
       "Asset Turnover                                               0.028100   \n",
       "Inventory Turnover                                           0.024872   \n",
       "Dividends / FCF (1Y Change)                                  0.023347   \n",
       "Net Acquisitions / Total Assets (1Y Change)                  0.018729   \n",
       "Current Ratio (1Y Change)                                    0.016695   \n",
       "Debt Ratio                                                   0.020970   \n",
       "Return on Research Capital                                   0.014223   \n",
       "Net Acquisitions / Total Assets                              0.013261   \n",
       "(Dividends + Share Buyback) / FCF (1Y Change)                0.004929   \n",
       "Quick Ratio                                                  0.022446   \n",
       "Current Ratio                                                0.019325   \n",
       "FCF Growth QOQ                                               0.004747   \n",
       "Log Revenue                                                  0.002472   \n",
       "R&D / Revenue                                                0.022342   \n",
       "\n",
       "                                               3-Year Avg. Dividend Growth  \n",
       "Dividend Growth 3Y Avg. FUTURE                                    1.000000  \n",
       "Dividend Growth 1Y FUTURE                                         0.755808  \n",
       "Dividend Growth 1Y PAST                                           0.271199  \n",
       "Dividend Growth 3Y Avg. PAST                                      0.258538  \n",
       "Log Revenue (1Y Change)                                           0.217491  \n",
       "Sales Growth                                                      0.213467  \n",
       "Sales Growth YOY                                                  0.204242  \n",
       "Dividends / FCF                                                   0.176547  \n",
       "Assets Growth YOY                                                 0.163269  \n",
       "Assets Growth                                                     0.155030  \n",
       "Interest Coverage (1Y Change)                                     0.147889  \n",
       "R&D / Revenue (1Y Change)                                         0.127906  \n",
       "R&D / Gross Profit (1Y Change)                                    0.116342  \n",
       "Return on Research Capital (1Y Change)                            0.115381  \n",
       "(Dividends + Share Buyback) / FCF                                 0.111366  \n",
       "Assets Growth QOQ                                                 0.093000  \n",
       "Dividend 1Y PAST                                                  0.088816  \n",
       "Debt Ratio (1Y Change)                                            0.088804  \n",
       "Earnings Growth                                                   0.087591  \n",
       "Earnings Growth YOY                                               0.076544  \n",
       "Return on Equity                                                  0.067970  \n",
       "Interest Coverage                                                 0.067655  \n",
       "Net Profit Margin                                                 0.067341  \n",
       "Inventory Turnover (1Y Change)                                    0.064075  \n",
       "Asset Turnover (1Y Change)                                        0.063931  \n",
       "Return on Assets                                                  0.063809  \n",
       "CapEx / (Depr + Amor) (1Y Change)                                 0.062966  \n",
       "FCF Growth                                                        0.059623  \n",
       "Dividend 1Y FUTURE                                                0.058128  \n",
       "Gross Profit Margin                                               0.057145  \n",
       "Sales Growth QOQ                                                  0.056312  \n",
       "Return on Assets (1Y Change)                                      0.049216  \n",
       "Gross Profit Margin (1Y Change)                                   0.048597  \n",
       "Net Profit Margin (1Y Change)                                     0.047448  \n",
       "Return on Equity (1Y Change)                                      0.044527  \n",
       "FCF Growth YOY                                                    0.043037  \n",
       "Log Dividend 1Y FUTURE                                            0.036248  \n",
       "CapEx / (Depr + Amor)                                             0.035998  \n",
       "Quick Ratio (1Y Change)                                           0.035968  \n",
       "Earnings Growth QOQ                                               0.030937  \n",
       "Log Dividend 1Y PAST                                              0.029096  \n",
       "Share Buyback / FCF                                               0.025175  \n",
       "R&D / Gross Profit                                                0.023879  \n",
       "Share Buyback / FCF (1Y Change)                                   0.022640  \n",
       "Asset Turnover                                                    0.020945  \n",
       "Inventory Turnover                                                0.019785  \n",
       "Dividends / FCF (1Y Change)                                       0.019037  \n",
       "Net Acquisitions / Total Assets (1Y Change)                       0.017970  \n",
       "Current Ratio (1Y Change)                                         0.015868  \n",
       "Debt Ratio                                                        0.015864  \n",
       "Return on Research Capital                                        0.015439  \n",
       "Net Acquisitions / Total Assets                                   0.013797  \n",
       "(Dividends + Share Buyback) / FCF (1Y Change)                     0.011296  \n",
       "Quick Ratio                                                       0.008607  \n",
       "Current Ratio                                                     0.007478  \n",
       "FCF Growth QOQ                                                    0.006788  \n",
       "Log Revenue                                                       0.002246  \n",
       "R&D / Revenue                                                     0.000227  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.abs().sort_values(by=SIGNALS_3Y, ascending=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us try and fit a Linear Regression Model to some of the signals with highest correlation. The reason we don't fit the regression model to all the signals, is that a lot of them contain NaN (Not-a-Number), which results in the entire rows with NaN being removed, so the dataset becomes much smaller, and the correlation numbers already show that many of the signals are not linearly related to the FUTURE Dividend Growth anyway.\n",
    "\n",
    "The regression model has $R^2 = 0.13$ which is quite weak. Because the data is standardized to having zero mean and one standard deviation before the regression model is fitted, the coefficients show us which signals are most important in predicting the FUTURE 1-year Dividend Growth, and that is by far the PAST 3-year average Dividend Growth, followed by the PAST 1-year Dividend Growth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>    <td>Dividend Growth 1Y FUTURE</td> <th>  R-squared:         </th>  <td>   0.134</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                       <td>OLS</td>            <th>  Adj. R-squared:    </th>  <td>   0.133</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>                 <td>Least Squares</td>       <th>  F-statistic:       </th>  <td>   211.2</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>                 <td>Wed, 15 Apr 2020</td>      <th>  Prob (F-statistic):</th>  <td>3.83e-210</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                     <td>14:56:03</td>          <th>  Log-Likelihood:    </th>  <td>  5711.5</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>          <td>  6859</td>           <th>  AIC:               </th> <td>-1.141e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>              <td>  6853</td>           <th>  BIC:               </th> <td>-1.137e+04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>                  <td>     5</td>           <th>                     </th>      <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>          <td>nonrobust</td>         <th>                     </th>      <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "                <td></td>                  <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Dividend Growth 1Y PAST</th>      <td>    0.0130</td> <td>    0.002</td> <td>    6.660</td> <td> 0.000</td> <td>    0.009</td> <td>    0.017</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Dividend Growth 3Y Avg. PAST</th> <td>    0.0232</td> <td>    0.002</td> <td>   11.926</td> <td> 0.000</td> <td>    0.019</td> <td>    0.027</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Sales Growth</th>                 <td>    0.0074</td> <td>    0.001</td> <td>    5.269</td> <td> 0.000</td> <td>    0.005</td> <td>    0.010</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Dividends / FCF</th>              <td>   -0.0099</td> <td>    0.001</td> <td>   -7.690</td> <td> 0.000</td> <td>   -0.012</td> <td>   -0.007</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Assets Growth YOY</th>            <td>    0.0104</td> <td>    0.001</td> <td>    7.495</td> <td> 0.000</td> <td>    0.008</td> <td>    0.013</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Constant</th>                     <td>    0.0884</td> <td>    0.001</td> <td>   69.563</td> <td> 0.000</td> <td>    0.086</td> <td>    0.091</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td>2558.033</td> <th>  Durbin-Watson:     </th> <td>   0.787</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th>  <td> 0.000</td>  <th>  Jarque-Bera (JB):  </th> <td>21391.372</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>           <td> 1.555</td>  <th>  Prob(JB):          </th> <td>    0.00</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>       <td>11.073</td>  <th>  Cond. No.          </th> <td>    2.79</td> \n",
       "</tr>\n",
       "</table><br/><br/>Warnings:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                                OLS Regression Results                               \n",
       "=====================================================================================\n",
       "Dep. Variable:     Dividend Growth 1Y FUTURE   R-squared:                       0.134\n",
       "Model:                                   OLS   Adj. R-squared:                  0.133\n",
       "Method:                        Least Squares   F-statistic:                     211.2\n",
       "Date:                       Wed, 15 Apr 2020   Prob (F-statistic):          3.83e-210\n",
       "Time:                               14:56:03   Log-Likelihood:                 5711.5\n",
       "No. Observations:                       6859   AIC:                        -1.141e+04\n",
       "Df Residuals:                           6853   BIC:                        -1.137e+04\n",
       "Df Model:                                  5                                         \n",
       "Covariance Type:                   nonrobust                                         \n",
       "================================================================================================\n",
       "                                   coef    std err          t      P>|t|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------------------------\n",
       "Dividend Growth 1Y PAST          0.0130      0.002      6.660      0.000       0.009       0.017\n",
       "Dividend Growth 3Y Avg. PAST     0.0232      0.002     11.926      0.000       0.019       0.027\n",
       "Sales Growth                     0.0074      0.001      5.269      0.000       0.005       0.010\n",
       "Dividends / FCF                 -0.0099      0.001     -7.690      0.000      -0.012      -0.007\n",
       "Assets Growth YOY                0.0104      0.001      7.495      0.000       0.008       0.013\n",
       "Constant                         0.0884      0.001     69.563      0.000       0.086       0.091\n",
       "==============================================================================\n",
       "Omnibus:                     2558.033   Durbin-Watson:                   0.787\n",
       "Prob(Omnibus):                  0.000   Jarque-Bera (JB):            21391.372\n",
       "Skew:                           1.555   Prob(JB):                         0.00\n",
       "Kurtosis:                      11.073   Cond. No.                         2.79\n",
       "==============================================================================\n",
       "\n",
       "Warnings:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "\"\"\""
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Only use some of the signals in the regression.\n",
    "columns = [DIVIDEND_GROWTH_1Y_FUTURE, DIVIDEND_GROWTH_1Y_PAST,\n",
    "           DIVIDEND_GROWTH_3Y_PAST, SALES_GROWTH,\n",
    "           PAYOUT_RATIO, ASSETS_GROWTH_YOY]\n",
    "\n",
    "# Fit the regression model.\n",
    "model = regression(df=df_signals[columns],\n",
    "                   y=DIVIDEND_GROWTH_1Y_FUTURE, standardize=True)\n",
    "\n",
    "# Show the results.\n",
    "model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Past vs. Future Dividend Growth\n",
    "\n",
    "Let us now study whether the PAST Dividend Growth can be used to predict the FUTURE Dividend Growth.\n",
    "\n",
    "First compare the PAST and FUTURE 1-year Dividend Growth. The fitted line in this scatter-plot shows a positive correlation with $R^2 = 0.09$. Note that the plot only contains 5000 data-points that are randomly sampled from the full dataset of more than 13,000 points. But the linear formula printed above the plot is fitted to the entire dataset.\n",
    "\n",
    "Each dot in the scatter-plot shows a single data-point, that is, the x-axis is the 1-year PAST Dividend Growth for a single company and one of its financial reports. The y-axis shows the 1-year Dividend Growth starting in the same quarter and going 1 year into the future."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.28 * x + 0.06 (R^2=0.09, p=8e-298)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=DIVIDEND_GROWTH_1Y_PAST,\n",
    "                 y=DIVIDEND_GROWTH_1Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us now compare the PAST 3-year average Dividend Growth to the FUTURE 3-year average Dividend Growth. The plot looks quite similar to the one above for 1-year Dividend Growth. Once again there is a positive correlation and now with slightly lower $R^2 = 0.07$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.27 * x + 0.06 (R^2=0.07, p=6e-80)\n"
     ]
    },
    {
     "data": {
      "image/png": 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u1mNErYNcrYPOhipRFJAcE4WUuCgkRHMxLiUWpSl8pCfFISGGCx6HhQ6JElw269YfhbIsAZr7RsCiABZFgU1RmDouEdFRHMTxOOBzWabhHPM5EALBF3DZFDhsFsqy4pHOzUVKaorputMbaAwqNBiQaxDFYeFcqwSNPcM41SIG82sQpsTg9rxEY85bXiKK0uMQz+cG9JwI30FE7BZ9MhWGlFoYaNwSDObPKCIGAw2dgYZCo8OIWn9LAIwiINfoIFNqIVVoIFUYh8skcg2GlFqbwmAOBSCKQ4HPVRh/bCwWKMp4V0lRAAsUWCzKJAiU9f/Mfqjv9mh8zyhmxteNbzLFEygKYFMUMhP4iIviIDqKjZgoNhKiuUiKjUJqXBQSoqOQFMNFQgwXHJZxgpz54Rtzg4xRgrfnJ+LizUGLcyrNjDcNETIkxfJGbcd8nkDwJebzb0xeG3PdsVkUUuJ4SLk19zbuVgSlSqtH96ASXA6F1n4FTl8fwCeXuk37TI3joSAtFoVpsUiL5yMhmmv6i+NxwGFTYFEUOCwK7Ft/XDaFgtQ4sEgVE69CRAyAaEiJ7//+qMWwgjvwuSzE87lIjolCYgwXhWlxmJBFQabUISaKjZgoDmKi2KjMS0SXVAke1+i1cNgUpgqT8Pm5a8jKzLLYpy1xcPW1sX6+JEOAizcH0T2oGrUtgRAJ8LlsFKTFYXZJKnKTYkDTNERDKtR3DeFGvxyt4hHc6Jfj4JVeSBQa04iHM/7PD0qwbl6xb42PMCiadrX5Q4Pm5mbodDrnGxIIBEKIwOFwUFxMxM8WYSdiBAKBQIgcSDYggUAgEEIWImIEAoFACFmIiBEIBAIhZCEiRiAQCISQhYgYgUAgEEIWImIEAoFACFmIiBEIBAIhZCEiRiAQCISQJexErLm5GW1tbYE2wy2Ivb4llOwNJVsBYq+v8cTe5uZm7xsSxIRd7USdThdyZaeUSmWgTXALYq/vCCVbAWKvr/HE3lDr/8ZK2HliBAKBQIgciIgRCAQCIWQhIkYgEAiEkIWIGIFAIBBCFiJiBAKBQAhZiIgRCAQCIWQhIkYgEAiEkIWIGIFAIBBCFiJiBAKBQAhZAipiJ06cwF133YWFCxdi69ato97/+OOPMWPGDCxbtgzLli3Dv/71rwBYSSAQCIRgJWBlp/R6PV555RVs27YNGRkZeOCBBzBv3jwUFRVZbLd48WK89NJLAbKSQCAQCMFMwDyxuro6CIVC5OXlISoqCkuWLMHhw4cDZQ6BQCAQQpCAeWK9vb3IzMw0Pc/IyEBdXd2o7Q4ePIhz585h/PjxeOGFF5CVleVwv2q1GjRNo6Ghwes2+wqVSkXs9SGhZG8o2QoQe30NY29ZWZnLnxmSK0PqHF3B0fkHTMRomh71GkVRFs/nzp2Le+65B1FRUXj//ffxy1/+En//+98d7pfH4wFwfNLBhrsXaaAh9vqOULIVIPb6Gk/sNVDskDrHsRKw4cTMzEz09PSYnvf29iI9Pd1im6SkJERFRQEAVqxYgStXrvjVRgKBQAg5RvsHYU3ARKy8vBxtbW3o6OiARqPBvn37MG/ePItt+vr6TI+PHDmCwsJCf5tJIBAIIUWEaVjghhM5HA5eeuklrFmzBnq9HsuXL0dxcTHefPNNTJ48GfPnz8fOnTtx5MgRsNlsJCQkYNOmTYEyl0AgEAhBSEBXdq6urkZ1dbXFa88++6zp8XPPPYfnnnvO32YRCAQCIUQgFTsIBAKBELIQESMQCIQwwkbgd1hDRIxAIBDCCDrCQjuIiBEIBEIYYYgsDSMiRiAQCOGErUIS4QwRMQKBQAgjiCdGIBAIhJCFeGIEAoFACFmIJ0YgEAiEkIV4YgQCIajZXyfCgs3HsL9OFGhTCEFIhGlYYMtOEQgE12kQyVBT244TTf3okCqx+VAjFlc4Xl+PEHkYSJ4YgUDwJg0iGTburkeDSDam/dTUtuPTS90QpsSgKD0WGxaUeslCQjhBPDECIQJgvJrVM4QoyxL49FiM+ADAa/eVe7yf1TOEpv9dsdmf50gIHgwRpmJExAgRibeExRXMxWcslGUJ3LLVn+dICB4iTMOIiBEiE28Jiyu4Kz7ewp/nSAgeiCdGIEQAgRIWfxIJ50gYTYRpGAnsiGS8FXBAIBCCB5InRogYmDmTmtr2QJtCIBC8RKRV7CDDiRFMpM2ZkGg9QiRA8sQIEQMzZxLqHfrW49dR8fIX2Hr8usPtiOdJiARoA2CIIHeMiBgh5HnraAtkKh3eOtricLvVM4RYVpkdMZ4nITKhAQyrdYE2w28QESOEPOvmFkHA52Dd3CKH2wWb50lqIBJ8xaBCE2gT/AaZEyOEPGurC7G2ujDQZrjN5kONaOmTkxqIBK8zqNBCmBJoK/wD8cQIBD/DpDasqMpDUXosVlTlkVQHG5AUEM+RRpAnRkSMQPAzTIBJu0SBQxvmoF2iIAEnNiCBOJ4zqNAG2gS/QYYTCQQ/Y53aYPH/YFfA7Ao2Ii0FxJt0DyoDbYLfICJGIPgZ63JQ5s8bzEQs0vPaSNksz6AA9I+oA22G3wjocOKJEydw1113YeHChdi6davd7Q4cOIDS0lLU19f70TpCKBGO8ydkOI3gCSwWIFNGznBiwERMr9fjlVdewd/+9jfs27cPe/fuRUvL6DyfkZER7Ny5E7fddlsArCSECqHQ4TeIZFj9t1rM+v0Rl8LqSV6b/winmyA2i8KwiuSJ+Zy6ujoIhULk5eUhKioKS5YsweHDh0dt9+abb2LNmjXg8XgBsJIQKoRCh19T245TLQPokCqx+VCj0+1dzWsL13yzsZ6XO8IUCjdBrkKBgkZnCLQZfiNgc2K9vb3IzMw0Pc/IyEBdXZ3FNlevXkVPTw/mzp2L9957z6X9qtVq0DSNhoYGr9rrS1QqFbHXC6yewAEGuyzmlU62jeDvFwfwWNsIZo2LC6B1wMx0Pa5m8SEa1mJFWazNNvSkbTft60DHkBab9tVjPHfQW+a6hC+vhbGe15Yz/TjWOgKpVIr1d6YBsG/vzHQ9pMJozEzXB9W1zdhbVlbm8mcoClCqNUF1HmPF0fkHTMRsLRdAUZTpscFgwKZNm7Bp0ya39st4bO586YHG3Ys00ISSves/P4ZOmR4fNsixdtG0gNnRIJJh74VmZKUm4ncriu16V5607QvaRGw+1IgNC0pRVubfpGlPrwVXglbGel7rE3OQZHUMa3u/s6MAf54ZfMEznrQvRQEGihUyv9GxEjARy8zMRE9Pj+l5b28v0tPTTc/lcjmamprw2GOPAQD6+/vxzDPP4J133kF5OYlYIjhnf50IUrkGPDawoiovoLbU1Lbj4JVeAEBSTJRXo+4WV2T5teLH1uPX8dbRFqybW4RZ6c63twUzfAcAMwtTTWJlfh5jPS9XohvN7QiXSEgynOgnysvL0dbWho6ODmRkZGDfvn344x//aHo/Pj4eZ8+eNT1/9NFH8fzzzxMBI7jM5kONGJBrQQFolygCasvqGUJTFYVgnrdzBfOCy7NW5nu0D/McsPXvXwhY+a1wzUUzH9UKdwImYhwOBy+99BLWrFkDvV6P5cuXo7i4GG+++SYmT56M+fPnB8o0QpiwYUEpNh1oQCqPDngnVZYlwJ8fqQqoDd5i3dwikycGeFbeyNxL2rCg1OSJ+ZtwzEWjaRp8buQUYwposnN1dTWqq6stXnv22Wdtbrtz505/mEQII5i7+k376tHaLweAiE4e9hbmBZe9ETzg7+HQcMdAA3wOO9Bm+A1SsYMQ1mw+1IiOIS02H2rE9PEpYTf/QSBYQ4NGHJ8baDP8RuT4nISIZMOCUuQlcLFhQWlI5JJ5CpMTtb9OFDZJu+aEay6cL6BpIJ4fOf5J5JwpISJZXJGF8dxBU4h2uHpgTJTd2dYB9AwZ6+aF07mStddch6YBLjty/BMiYgRCGMB4lzMLU3HqutgtbzMUCg0HMvgj1KBBg80i0YkEAiGEMI+yc9dTCYVcKRL84To0AE4EiVjk+JyEsCeUirgG0xxPOM8VRiI0Dej0oysihStExAhhQzAUcW0QyfDjXefx413nHYqp+RxPoHG10DAhdNDoI6diBxExQkjgiucSDB4FU17q4JVeh2K6YUEpitJjbc7xhJJHSQg+KAAGG7VpwxUyJ0YICRjP5ZW9V2zW2QOCo/qCq+WlHM3xmM9RrZ4hDPqgC0KQQQF6Q+SIGPHEwpRwu5tnPBeahk+H4cbabkx5qT8/UuWW6DCe5sm2EQuPMhiGSAmhRaR5YkTEwpRw6/wWV2Th0IY5+O+lk+wOw3kDb7Wbu2LIeJo7L0kt5qiCYYiUEFpQoMAiBYAJoU64Vuf2dai1t9rN3bB1Jg9qRVmsxevBMERKCC0oCmCzIsc/ISIWppDOzzO81W7uiiEjzu4U1A2FJGVCYNAbIic6kYgYgeADfHUTsb9OZApsOXVdHPRJygT/Q1GAjgR2EEKZcAvqCFc8+Z7M88sieb6MXOP2oUCR6ERCaBNuQR3hSINIhvXvX8DHF7rc+p7M88t8kaQcTJVEHEGucftQFDCi0gXaDL9BhhPDkHAN6ggnamrb0S1VISeJ79b35OvAFmfV4s2HMwNZy5Bc4/ahKGBIqQ20GX6DeGJhCCkjFHgcDXc1iGSQKjSYMyENW1ZNCarvyVElESB4ymWRa9w+LIqCXBM5nhgRMQLBBzga7qqpbceJJjGSYqL81gm7OofE5OPZ87IYkVtRlYeNu+vRKlH7wlzCGGBTFBRqfaDN8BseiZhOFzkqTwhO/DWx7+lxHAVdBCIgw1tzSIzItUsU+PRSN/Y2ksCKYIPFojCijpw+2q6IrVq1yvT4F7/4hcV7Dz74oO8sIhBcwF8T+54ex9FwVyCGwrwtnMz+7ikN3HBeqASh+BsOi4JUoYmYCEW7IqZUKk2PW1paLN6jI6guF8FzfNnJ+Mub8eVx/Bkm7m3hZPY3Ppnnlf15QrDMzwUbHBYFAw0MjETGUK9dEaMc1N5y9B4h+PFX5+nLTsZf3owvj+MvbzJcc6qcBaFEKhy2sVvvG44MEbMbYi+TyfDll1/CYDBAJpPh4MGDAIxe2PDwsN8MJHgffy1Hz9QDDNVOxtfh5J6GiZvbBcCpjf76vv2Nr9MNQhUOy+hk9MpUmJyTEGBrfI9dEbvjjjtw5MgR0+OjR4+a3ps2bZrvLSP4DH/l2IR6J+MsZ2qseFqaytrDdWYjyamKLDhsRsQi3BPbtGmTP+0g+BFSHNg1fOVJjrVwr7Vdzmwk33dkwXhiHRJ5gC3xDw5D7PV6PSQSiem5RqPBBx98gEWLFvncMALBEf6ITHOWM+Up1nNh7p6LuV2u2hioSD5/HDdc5/w8h0Isj4OuQVWgDfELdkVs3759uOOOO3Dvvfdi9erVqK2txYIFC3DixAn84Q9/8KeNBMIonAWNBGv4NVOtY3ZJqml4z5sBMNYdOtMOr+y9EpBIPn9EEJI6iqMR8DkQR3p04jvvvIOPP/4YX331FV544QWsWbMGv/71r/H2229j0qRJXjn4iRMncNddd2HhwoXYunXrqPfff/99LF26FMuWLcOqVatGhfoTIhdXyyNt+rwBW870B81dunm1DgDYuLseK6ryvBZlZ92hM+1A0xh1jK3Hr6Pi5S+w9fj1MR/XHt6MILTncUVyNX97xPM5GJBrAm2GX7A7J8blciEUGi+KSZMmITc3FwsXLvTagfV6PV555RVs27YNGRkZeOCBBzBv3jwUFRWZtlm6dKkp6frw4cPYtGkT3n33Xa/ZQAhdnAWNMPNGmQI+jrVKkFTbHhTzQuZBFozgLKvMxqENcwAADQ2DXts/YDl/Zt1ebx1tgUylw1tHW7C2unBMx7WHN4N77EVZkjm/0Qj4XLQORMacmF0RGxgYwLZt20zPFQqFxfMnn3xyTAeuq6uDUChEXl4eAGDJkiU4fPiwhYjFxcWZHiuVSpKfRnAZ00rJIhm2fH4poHfp1oEcTIdrK2qwVaJGze56j4M+rDt0RyKybm4R3jragnVzi2y+72+cBbw4irIkq1x/B0UBxRlxuHBTCp3eYMobC1fsitiKFSsgl8vtPh8rvb29yMzMND3PyMhAXV3dqO127dqFbdu2QVFC22wAACAASURBVKvVYseOHU73q1arQdO0W8u8BxqVSkXs9SFP3R4PDHahYbDL78c+2TaCN0/3Q2ugIZVKsf7ONIv3V0/gWNj26VUpTt5Uor1HDAGPjXtKBT6rijErHZi1Mh+AxuPv05vXwpYz/TjWOmKznRis28udz3rbXn/A2FtWVubyZ3Q6PXrEEhho4PTFK0iLDf0Vtxydv92zW7dunU+MYbBVusqWp/XII4/gkUcewZ49e/DOO+/g97//vcP98njGH7w7X3qgcfciDTSBstfT5ONAtu/6z49BrqUh4HOwflGlUy9hmUSN1NRUSBUa49xZUhIWz/St7dbt6o5X4822XZ+YgyQPvSlXPxsJvzU2m438jDTghhyxaTkoEyb7yLrgwK6Ivfrqq6NeS0pKwvTp0zF16tQxHzgzMxM9PT2m5729vUhPT7e7/ZIlS/Dyyy+P+biE0MXXyce+wHxOyrxz3Xr8umkoz3w+anwyD4tnlqFBJENSTJTHw6DuCJF1uwaqwsdY5rbIvJglCTFcAEDXoApVYR7vYnewdNKkSaP+YmNj8frrr2P79u1jPnB5eTna2trQ0dEBjUaDffv2Yd68eRbbtLW1mR4fO3bMFGhCiExCsVaevTwu86AKhv11Iqz9pAP760QOaza6khflTti5dbsGOtrP3fQIkic2msRoo4iJBpVOtgx97Hpi9913n83XH3roITz00EN44oknxnZgDgcvvfQS1qxZA71ej+XLl6O4uBhvvvkmJk+ejPnz56OmpgZnzpwBh8OBQCBwOpRICG9CuYyVtWdkK6hi86FGdAxpnXqarnhK7pSasm5Xd70ab9eYdNfj9pbn6Otamf6CooA7C1MQy2OjVRz+EYpuz/jx+XyvHby6uhrV1dUWrz377LOmxy+++KLXjkUgBAKmY8wU8HGpYwiAsaNdW104Kqx9w4JSbNpXb1o12ZMoPQZXhcgbUX3eHuZdUZWHt462YEVVnkvbm7fHWM4nFIerbUHTwMWbg4jjcdAVAZ6YW7GXOp0O//73vy2iCgkEgm3214nw7AcX0dInR0vfCDITeJhZmGp3+8UVWdj6wzy0SxT4+EIX1r9/weYQmbeWh2kQybD+/Qv4+ELXmKpdOBrmdTbUZ+v9dokCBtr4vyv7MG+PsVTvCMXhakckRkehVxb+pafsemK33377qGhBPp+PadOm4Te/+Y3PDSNEJr4e0vFnPtHmQ43Q6mlw2RSyEqJR3zWEvfXdo87L3CbA6FGcbR1At1SFGh8madfUtqNbqkJOEn9M81+OhnntDfUx58xEYQLAzMJUbD7UiBVVeRZzcsw+2gfk6JGpHF4bY6nYH8rD1bZIiOaiqTf8l82yK2J79+5FTk6OP20hEHw+pOPPyDvzyMS99d2o7xpyatPqCRyUZQmwZdUUC2HzBeYdvq8E3Z6oMOc8uyQVs0uMKQWbDjSgQ6LEh+c7TBVMzD97uKEXPTI1Nn3eYPfaIFGK35EYw8WgUgulRo/oKHagzfEZ7JftxK0//vjjeOihh/xsztgRi413dWlp9hMegw2xWBx29u6vE+GZXeeRGstDcUa8y/tOjeWhsVeGDQtKHX7O1v4bRDK8cagJ2YnRSIv/LkHY3N7sxGhodAasniG02MYXFGfE47E7x6E4Ix4FaXEw0DSemlUw6rjmNkE1jLS0NKTF8zC/LMNiW1fa1F4b2MLWMdyhQSTDlqM3UJCZZHcf9o7BnPOCCRlGge+UoSxLgCgONeq7Z/ZxrLEPHRIlynMTcP+UXI9sDsffmjV9/f3IycqAQqPD6esDWD4lB0mxUT6yMPDYnROzlYxMILiKp9XLXV1axNb+XZkPcTaf5KtwbUfHdXWOa9OBBmNR4wP2K07U1LZjt4P5NFdxNYz/WOuIR/NPzDmfui5Gl1SF7CQ+Ni4pc/jdb1wyEQ9Pz8fGJRPdPl4kwQR2DCq1AIDuMF+Sxe5wYm9vr82EZwYSOUhwhK8WlHS0f2+sYDyW4UZfz7cJk2PRKVVCmBxrdxtmPq1rjPNpNbXt+PhCF04096M8JwHr5xWPOqfVM4SQSqVjam93hjTJUKF7JEYbva/uofCOULQrYnw+32tLrhAiD19Pktvavzc6ubEIobsC6I7obT1+HRdvSlGZm4iNS+yXIfLWfBojhq39cogGVUiKiRp1TmVZAqy/M21Mgk2EyXcI+BxQALrDPMzeroglJibaTXgmEEKRV/dcwY7adjw+Q4gXl9q+QRtLp8qIxszCVId5XgwWAR23lmaZma6HLYl662gL5Bo9rvePeOyxuBP5yYjhliPNFufmCa6IdYNIhtf2NaBdIscLd5eFVZRgoOCwWUiOjYIozIcT7c6Jcblcf9pBIPicbafboNXT2Ha6zSf7N5/nMZ+bs55fYp7PLEw1hZIzgra30fYc1Lq5RRDwOWNaNsV6HvHVPVdQvHE/Xt1zxe75/PmRKvz5kaoxeVuuzFXW1Lbj1HUxOiRKh/OopMSUcygKuD0/EbfnJyI9nocb4hEMKcJ3gUy7nthLL72EK1e+u7gpikJSUhKyssgdkjPM7zxb++VhUcomHIjjczCk1CGO79ulKayHJK2HGW0NOzLbCvkqm16crQof7mI9j7ijth1aPY0dte12PVNv4MoQ7eoZQrQPKNAukZvss+XBeTJnaZ2HF+4wgR0AwGJRaBUrMKzWISEmPCMU7f6abdUpHBoaglarxebNm0NqOQN/Y/5DO9s64JW8J7Lo39jZdF+FT4NNGKyH86w7cVudOvOZH793AifaJQC8H1hiPY/4+AyhaXjVl7gyRFuWJUDNmukWrzkSe3cEyToPL5JIvJXwHM7R5na/0Z07d9p8vb6+Hq+++ip27drlM6NCHfMfGlOFYKwdZ6CWxwgF7C1rYk2gKjJYd+KOOvV7SgVISkpCNIeFipe/cHpO5phfI+bX3eKKLJtt9OLSSXY9sGC4aXIk9tY4mu+z2E8AFkYNJAkxUdDqaQwptXCtEmXo4fa61eXl5VAoFL6wJWwwz/txNe/JGf5eHsPe3EODSIYtZ/qDak7C1rImocr4ZB5eu68cH57vdPucVs8QojIvASea+vHK3ito6ZPjx/+4gFf3XHG7jcZSg9BV3KmJyLD1+HVUvPwFth6/brGto7xEb9WaDEVSbiU5d0rDN0LRbRETi8U2V2Am+BZ//xDtdWJjSXBl8PbkvDeCHoKFk20jWLD5GOZPSHfrnPbXibD+/Qv4pk2CDqkSg2YT+Ttq291uI3/cNG050ox/nuvA2r9/4/K1YE+Mw614r7dIizNWSumQhK/jYXc48be//e0osRocHMTFixexceNGnxtG8B2uDBXZm3vwRoKrO0OjrtjqjaAHV3B12HIs7LwkRceQsdJC3ct3ufy5TZ83oMPsblulo7Fm5jjTnJe7beSv/C2DgUb3oNLlxGxb67AB4Ve8dyww0YkAwAKNN480o2cofMPs7YrY5MmTLZ5TFIXExES88MILSElJ8blhBN/hiojY68S8keDqzuS8t+cCxzLXY+4F+ErEHq1MwocNcrc9CmFKDDqlSqTGciGWa/HDymyHc16O8Nd82Pp5xabHrt4U+fKGxR83Kf7APDpxdkkqhCkx6ArjXDG7IjZ9+nRkZ2f70xaCn/BGeaax4M5dvqe22gurHoso2vMCPLXLlkDMGheHtYummYZcXRWSjUsmek14thxpxsErvZAqNPjzI1UOz2XLmX6sT8zx6JhMHpqt/QYiqMQfNymBoCQ9HleDaA7b29idE/vJT35ierx+/Xq/GEPwD6E00e2prfbm9MYy17O2uhB1L981pg7O1YAJdwMrvPGdMsIpU+pc2t56ftRbc53+CCqxRTjNrZozdVwSbkoUYbtApktV7Ds6OvxiDCGw7K8TYcHmY9hfJwq0KWPGnlidbOrHxxc68chfa52epy+qQ7gqov6ORgW+Ew9BNAcrp+XhnvJsh+e/eoYQc8bHjUrqtic+rranr8791T1XsPTvN+xWKPHGTUowcsf4ZADAyWZxgC3xDXZFzDyog0QjRgaeLp8SjNjzTP70ZROUWgMkCq3T8/SFR+CqxzQWz8pT8WXEY/28Ypvls2zZaD4/6kx8mPb8r4/rUfHyF3h1zxWbdpZlCSBMjsHK/z0zKpR+LOyobYeONv4fzpiXndLpDUiM4SJDwMO/z3eEZfkpu3Ni165dw5QpU0DTNNRqNaZMmQLA6KFRFIULFy74zUiCf/D18im+xNVJ+RgeB0qdBizA4XnurxPhRFM/KvMSXPII3JnH8fWcj6fzfmVZAswsTMX69y9gw4JSu/OR5m09K33051f/rRYKjR4/X1CCWSVppnNl9vPJxS7INXrsqG0Hj8O2aacv5qcenyHE9tNtPq9QEmjMAzsYSjLicapFjM5BZdiVn7IrYg0N9hfeI4QnwRim7GqH76zTYyo63FeZjWPN/U5rWW4+1IgOqRI8LssloXFHOHxVfYVpq5mFqQA8C9wx98YPbZhj0z7ztp61Mn/U5wfkWtN27RKFxbm+dl85hMkxeOtoC1ZU5ULJrGhtxbq5RfjTl03gsinsrxN55bp8cekkLC9iOS2ZFwzVSrxNRW4iTjaLcbyxH5OyEwJtjldhv/zyyy8H2ghvIhYbx33DfQnyQOJPe9841IRPL3VDozNgflmG3e3YFIVvOwexbm4RqsYlW7wnFovx0sF2tPTJIVNrcWjDHBRnxDs8bmosD429MmxYUOp0WwDIToyG5laHnBbP83jbsbQt01ZqvR4qrR5ft0pQkBbn1B5zmPNeUZWHjy92ITsxetTnzdtaGKuHWMfDG4eakJ0YjbJMAWpvGH+Dz84vxtLbskeda9W4ZDwzpwizS9Mxvyxj1P4bRDKcbBaje0iJ/hEN6joH8aPvj/eoTayx1b4NIpnJ/rR4nqkde2UqnL4+YLMN/IUn10NvXz/6tZb2xvM4+LZjEFKFBiun5dv5ZGhCRCwIICJmH1fFgekYrQUMMNpbNi7XLVEqzojHY3eOc2lbAEiL52F+WQbEI2qLDtHRtmnxPOyvE+GZXeeRGstDcUb8mNr2et8IzrVJwGVTOHNdguv9chho2qH4W8Oc98cXu+x25OZtfa6pCy8daMW5Vim0egOenlOI/6wuxLp5xagal+xWuzD892eX8dmlbnBYFFRaA8pzE1CWJcAbh5qw99turH//ImQKDWaXpjvcjy3+91gL1v3rKtgUZbpWrG+UmGtOpdXj4JVepzdQvsRbIkZRFORqPWpvDGDV9HzE8sKnEDIRsSAgGEXMunM1x5/2mnf4niIWi/G9yeORGsvDps8bcORaL8qyBE73aX2HvvX4dTy5/ZxFBwhYttW+epFLniPDM7vOo6VPjsZeGR67c5xF21of35mtz39UB5lKBy6bhe8VpaAwPQ5PzSpAWjzPrX0BcLkj/9OhJtSJlMhJ4uNXi8qw+0KnzTZyxaNm2lGjo9E3rMbt+YmYVZyGdfOKTUOwdV1DMNBAXdcgfjq/xOl5WPPMP+sxojHg285BPDOnyOJcmRsl5porSItz2bv2FZ781vr6+5GTlYGsBL7FX25SNPbUiRDH4yA3KRo0TYPPZfvIcv9BRCyAMD/aeC5QVZwTaHMssO5czQlG0bVHg0iGLUdvoCAzCS99dhltAwp0SJSgAZudqXlnz3ScTMf75PZzkKl0pg6Q2XbX1+1oEyvQ2CvDrxaVudXxWQ9bmreto47f1hDY5a4hxESx8Zt7J+NnC0uwpCLbZIOrw7IMrnbklEIKLScaKXE8TB+fYhJSc5FoEMlwvKkfwpQYk6jagrnmuBwKS8qzsG5eMVZOy0daPM8kNMMqLQaVWpSkx2G11XXpCtIBMVqkWothZ/MbJfN2LcsSjPkGaqx48lvr6e1HnZhGz5DK4k+pNeBKtwzNvSNIi+cjK5EPQXToL37skYj9+te/xrx583xgztgJJRFjfrRtgxr8aFZw5aY4mhMKJRF741ATDjSIodXTWDk1H3WdgyjPTcC6ecU2Oyfzzn71DKFFB24978ZsOyFTgCgOhQ0LSvG9olSnHZ+557a4Isti2NK8bZmOe2ZhKrafbrPwomwNgekMNH77w8lIio0a5XW5M2dnbp+z89HJpWgeokze2g8mZoyam3zjUBMOXulFZV6iw/kY5porSInF55d7EMWiTEOGjNBMLzCWvHv+7gkeiUsaawQvPTjD5rAzY6s7Yu9rvDWcyKDU6nHh5iCqhEkozYwPCxHzaGB05cqVXjn4iRMn8Nprr8FgMODBBx/E2rVrLd7ftm0b/vWvf4HNZiM5ORm/+93vkJMTXB7LWGBC2leUxQbalFEEY6SiJ5gXLGaWxnG2PfO/dXks67p91tu6inkEoC17zEPYV88QYv37F9AtNVZbcLQ45Pk2Kf759U1ER7Gh1Ogtyka5U+rLmX3WMKsyf3qpC3K1HgnRXOQmxVi8b20r8F3E6IqqPLRLFFg9Q2gMutm43+6K0+6ch6M1xhydiy1bw4XynAQcvNqLus4h3FsZHmUFPfLE0tPdn1C1Rq/X46mnnsJ7772HtWvX4tVXX8W0adOQnPzdHZJarcZPf/pTPPbYY1AqlfjXv/6Fu+++2+F+Q8kTYybRY3SykLCXIZg8MWdzPWnxPBTwFWgdZtud47Pe3pUhpLGEYTMeR35SDP7PR99CptBgRK03DS2/9VWXaUhOrTPg61apac6JscvazjcONeFoYz9oABo9DRpAhoCP+6fk2rXfXru5E5kpFotRNj4Xfz7Wgh6ZGgCg0hkshqHttSkzEvFt5yCu9QybvB+ZQoP67iHMKkrFlqPNTr8za5i5y+NN/egaVFnY4uza9cYcrDfxticWE8VBc98IOqQKrJiai4To0M8Zc+qJPf3006Nei4+Px+TJk/HQQw+Bx/Psy66rq4NQKERennG90SVLluDw4cMoKvqubtmMGTNMjysrK/HZZ595dCxCaOLKnbStnCtbAuOud+GMseR6La7Iwvi0WCx+8yRoGCtIfHG1Fx1SJd5TqLBubvF3ycQlaZC6UGVBmBwDLhvQ6YFYntETE0Tb/3kz9ksVGiTFRFm0lSde+IYFpXj2gwvQ6gEum3IpYd40ElGVh0udxvDvBpEMy6fmQakz4ERzPzokylHfmbPrgslji+awInKNMfOlWGxx/+3ZeONwC7qkSuQlB98okLs4XRQzNzcXsbGxWLFiBVasWIG4uDikpqaira0NL774oscH7u3tRWZmpul5RkYGent77W7/0UcfYfbs2R4fL1LwpORQIGsmOjq2K2WwbJU6slUuytuLJjLHFSbHeNR2NbXtYN+q5nZPeRaEKTGgAGTFcy1q+JVlCZAUE4UTTWKb5Z+Y73vn2XZo9UBucjRml6ShIjcB9Z1DNu1qEMlwtXsINE1DNKjySmmtxRVZ+GzdLCwuz8TCiRkYnxZr97tlXu+UKjB9fApmlaRZnCPz/QmTY21+Z86uC6aQ788XlnhlVfVQg6nYYe/vB5MyEcVm4cuGvkCb6hWcemINDQ3YtWuX6fm8efPwyCOPYNeuXViyZInHBzYvMMxgr0bjp59+isuXL6OmpsbpftVqNWiaDqmKIyqVymv2bjnTj2OtI5BKpVh/p2vDEJv2daBjSItN++oxnjvodHtv2uvo2CvKYrFTrcGKsliHx1s9gQMMdqFhsAsAMDNdD6kwGjPT9WhoaIBKpcJ4/iC2LMoAMIiGBufn6AqrJ3Cw9pPrDtuuVaLG3kYZ7ik1ejnM45npwAkBF/1yHdSKYTxcJoCAFY+F4/mjznVmuh7tmVFo7xFj/6lLGJ/83egH832XpvKABC5SeTSOXesFBUCupW3ateVMPy52DAMArokGUZUTAyFfhdXvHAUAPFyRZHEMR4y6FtRyHGsdAdRy1PeqTG3T2dWJnZekeLQyCX/5egASpR5/OHgNHBYFqVSKe0oFpu8MAKTCaNxTysP4ZAGsv7M5eTyIpArMyePZvC5mpeNWJRHNqPe9ee36A8ZeZ1VGzNHr9RD12L+pmpRMYVoOH//+5iZ+OB7gsIK/Nq6j83cqYhKJBN3d3aa1xbq7uyGVSgEAXK7nkS2ZmZno6ekxPe/t7bU513b69Gn85S9/QU1NDaKinI/fMsOb7nzpgcbdi9QR6xNzkOTmXM0L2kTT8ExZmfO7Vm/a6+jYZWXA2kXu77MMwOKZ3z0fq72O5r+ctV3N7nqcaFciKSkJAHC0VYGmQQO2rJqCrQUFFvtdPNO2rWUATvXVG72TTDYWz/zufevvm7E1msPCh+c78ej3CoHENGw50mzcfl4x1i/KgcxwFefaJFDpaIAbg3YVH7Ud/QAAYWaqxTFstYEpKKMsFmsX2bantV+OTZ83QJgSg511w+gY0uLDBjmiuBxAqUc8n4u7J2dZnD+D+WNrlNfqQbFkUHLi3P5evXnt+gNP7GWz2cjKtP87TklNwZp5PDy5/RxuaBOwrDK0g+WcBnbk5eVh/fr1OHz4MHbv3o3t27dj48aNSE9Ph16vR2VlpUcHTktLw1tvvYV58+YhOjoar732Gp5++mmLVaOvXr2K559/Hlu3bnV5gc5QCuxg8GaghCcT0+5Wp3Bmr72kYG8c2xMYe91N+GVwFHbtzH7z0PaK3ER81dKPbqkKWr0BK6flj/qu7LWtvRB58+976/HreP6jOuQlRWNvvQganQHZSdGo6xzCZ5e6TRU8Vk7Lx/1TcvHhNx0YUupwU6LA9HFJSE/gmxKkrStsvHGoCf8+34ndF7sgTI41Dek1DajRNqA0bcfkdNXUtqO6NA1DSi2ON4kxITMeURwWNiwoRXVJOhp7Zdi4eCKenlPo9Luwvp7cSRewJpiCklzB24EdgHEV8PKcBOytMyaPr7ojP6RXKnEqYuPGjcPDDz+M8vJyzJo1C+vXr0dRURG4XK7HAgYALBYL48aNwy9+8QvU1NTg3nvvxV133YU333wTcrkcBQUF+MUvfoGenh6cOHEC//znP3H8+HHcc889Dvcb6SLmD5zZa50UPBZsCY+7YiQWiyHW8bD+/Qum8kju5AA56jRdiY5kRCYtnodp45Kh1dvvgO3V9nMlEvKx977GiFqPaz3DUOsMiIli47c/nIyK3EQMyNVQa/U4c2MAMoUWs0vTkRnPx/5647BTS/8I9v50lilB2lYe2u6LxqhJJnKxsVeGVD6F061DFgJvK9du3bxiPPcDY7QjI/w6A+3Sd2t9PY0lgtDRteuoSk2g8GbFDuaPTQFyjR4cFoXdF7uRmxSN3MTokK3e4XQ48d5778WSJUuwaNEi5Od7t3BkdXU1qqurLV579tlnTY+3b9/u1eMRPMPdfJt1c4tM0XXOcNZB24oCdBYZaGufNbXt6JKqkJPEtwgCcUUgHOUm2bPFus2Y4wiTY3C2dQAzC1NHHa9BJMOWM/1Yn5hj8Z55JKFoUIWm3mE8O794VLX+vKRoXOsdQXYCHzE8tnGIM0uArcev46tmMUbUOhhuraf14tJJWFyRhRekE2x+V9EcFtQ6PaI5LFMbrKjKxY7adswpTjNFMO4/dQmn+tgWbeoo186c1/Y14NR1MdoHFKhZM31Ue66eIURNbTtWVOXiw/OdDq8nV5ficYS3I1gDha2lWGwRy+MgKYaLNw41Y0ZBcsgu0eI0OvGdd94Bi8XCz372Myxfvhzvvvsuuru7/WEbIUhwd7FMd1bIdbbwpK3oQ1cXX2T22SpRQ6rQYEJmHNRaA1r75S4f31nkpj1brNuMOc5bR1ssXmf2//N/XsS9b32FL1uGR9nCHAMALnYMQq7R40+HmkbZUpAeBw6LQmV+Ig5tmAMAWLD5GP50qAkylQ5sljH8/fEZQjSIZPjxrvO4dKu6xrtftWLG7w6ZzvPD853Q6ml8eL7TtP9jzf3Q6mkca+43vTY+mYfX7itHa7/c1E6uLujZLpGDpo3/22pPps2UOoPT68l8eRhrXInY3V8nwrBKh0wBL2JC8jksFuZNyEDXoBJHrvU7/0CQ4nQ4USAQoKqqCitXrsT06dNx4MABbNy4EevWrfOTie4RycOJns75OMNRfb+x4mx+w9bQkbPhJOt9/ulQE07ckGFQoUX/iAaNvTJMu1U2Spgcg3aJHCun5tscQrJXQ5IZeirLFKC61Ljwo3m7M202pzgNr+y7ipmFqchM4OMHEzMgkilNbWnaf88w9DRAAfif5RWW82QjatR1DmHBhAwcvNoDAw3ERLFHDdUWpMXBQNOm+oTMvhOiOeCyWfj5ghLs+NF0zC5NxxuHmkzzZBc7BiFRaDGi1uN8uwStYjkqcxPQ0j9iUT7KVhI0cy04qrVpj8x4Php7ZVhQmo5X9l0dVebKnbkvNkXhm3YJ+FwW8pJiLL5L8+HNilSWzWv3mV3n0SFRIjOBj9/+0HtrvI0VX8yJmZOZwEeDSIav2yR4dIYQHLZTvybocKliR2dnJz744AO8/fbbGBwcxBNPPIHbb7/dD+a5TySLmK/qvlkHL/gqEMVbcxLWItfV04f2YQOWTM6CTK3FhgWlpmrz7RI5eobUiOGxbbaZveoVTKdde0OM7afbcLVbBr2BhlprwDO7zuPOglT89ofleGXfVbT0ySGSKbHjR9PRK1PjzI0B3FmQiuKMeKTG8nCqpR8qncF4vBg2KvOTLdqB+V5jeGzE8Ti4KVEiKYaLmUWpDsWdsX3j4onYvLLSIsgmOzEaA3I1CtPjkB7PQ+uAAgAQG8VBfZcMhelx+OiZ7+F8u9QUVPHQ9PxRQSxisRi7r8pw8GovEqI52Lh4os3vzlawD3NdMW1kLYDW5+PoJq1qXDI+udQ1qkIHc66MGEI1bPPadXf9OH/haxGjKApp8TycbBYjisMy1aYMJZyK2IMPPoh9+/ahqKgI69evx1NPPRW0AgZEtoiNJWrLHXwViOLJ3bwjmE6vrnMQLQMaFKbHYcePl8sznAAAIABJREFUpqM4I97UViun5iOGx7YbtLGvXoRfLSrD94pSLd5jOj2JXAO1jgaLRWHT/RV46bPLaOmT42RzP+aUpqMsU2DROVqfY3FGPP74ZRMMt9ImaRq4IpJZbGP+vc4uScPZ1gGIhzVOA1SKM+IxbVwy9tWLkJ0YjXOtEvxoxzkcaejD7JI0pMfxsbe+G1e7ZdAZaLAp4zyJMCUGHDYLBWlxNqvSmyMWi/H83lbINXpw2SxsXmkZ7MV8BztOt2FErbe5H1cFxNlNmr39mIuhvWvXH1GynuCLwA7rv4lZAnRIFPjkUhd+MDEDKXHBUXLLVZyKWFVVFZ555hlUVVUhIcG4rLVYLEZMTIyjjwWMYBIxV4f3vCUK/qr75isR8/bdMNPpZcaxMb0ow0KomLYqzoi322auhNZHsVn4tnMQP19QgrsnZ+HYtT60Diig1RlAA6guTYNErkF1aRp2X+jEwSu9iONxUJAWa1rTrLV/BNd6jMnHS0sFWD2zxKIdrCMcU2N5uCwasjsEag6zwOSAXI299d1oEyvQIVWApoHtp1txU6IEn8MCl80CKApDSh2GlFpcEw2jbUCOB6vyTFXpe2XqUZ6yWCxGZnqa3VW1mTYsyYiDQqO32IbxvBmvldmnvd+Ns5s0V4SIiVS197v01ZC8p3hzKRZHf8mxPJy+PoAemQpLbwutwsBOoxMLC42TqcPDw/jiiy+wd+9eXL9+HSdPnvS5caHOWOrrRSLerpzPBFvMTNdj8Uz329+6ovn+OpEpeXfjkokoyxKMqmx/4lbQgwHGeoYr//cMNDoD2gcUONUiBg1AR9O41DGEmtp2vHZfOWJ4HFPVBLWexuKKLHRKFfjVx3XolCqwtrrQFN04szAVmw81okuqwqnrYrvtxUTrZSdEAwBEg0qMqHSIjWLDQNMQJseAqZkTy+dgQVkGPjrfCQHf2CUotQY0946gZs0M5CbFYPOhRoyodOiRqS2i9062jeDDBjn+5/4Km7bYqvTPnIu92oj2fjdMwAgTqOFJ8WXr/QuTYyyiGiP1N5scG4XvF6Xiiyu9uHBTiin5SYE2yWUciphKpcKRI0ewZ88eXL16FXK5HG+//TamTZvmL/tClgaRDFKFBrNLUh0u62AvrJowdlr75TjbOgAh37Mip0yn+eqeK9hR247YKA4GlVp0SpUmAbKmKC0O13pHMCEjDh+e74BMpYOAzzFG4sEYuPH4DCGUtzyKrcev48NvOqA30CjNiEN2PBcLNh9Dl0QJpc6ANw83o12igFShwYkmMc62DqDbRqqANUy0nt6gwIyCZHzVMgDcOj4N4MPzHVhanoUdte34XkEKpAoN5pelY/28YmPoe4sYFGW8PplIy4x43qhahjsvSdExpMUre6/YTMOwFWLPCEVlXiJ4txKgGVz53YxVaMyFdeX/njFFNa6tLgz7pVgcUV2ahvruIfxmz1XsfuZ7YIVAOSrAQYj9c889h7vuugtfffUVVq9ejSNHjkAgEGD69OlgsUIvgsXf1NS240STGEkxUQ7Fqaa2HcdaR8ZcgNWfnGwbCVjBYHdgOt+dl6Rj2s+O2nZo9TSGVVrkJUVjZlGK3U7uTw/djkem5+NPD91uKjr8P/dX4IW7y0yfXT41z9T5vn6wEdpbS6d0SJX4omUYLX1yxPA4EPA5KMmIN3XYyyqzUZ6dAI1eDw5FobVfbjN0fOvx61Dr9OCygZKMOLT0jZjeo2HMJ8sU8PFFQy+0ehqHr/VZXKsbl5ShMD0WQ0odamrbTefx30snjSqo+2hlEorSY0HTsJmGYZ2iYC5SG5eUjdpfTW07jl3rR1PvsN3vw1mKhb1jM5inADDFgpkctLIsgSm8350i2uEAj8PGM9WF+LZjEDVnQ6c/suuJNTc3QyAQoLCwEAUFBWCz2SFdmsTfuHpHZ75oYzBjnrzL3H0HY1KouZ3eWnT08RlC7Khtx+MzhKMWabROlrb2PDIF0dh0oAEv3F2G2SVpppy01+4rR01tO8x/USUZ8VhUEIUPG+QWSdJbjjTjTIsYUqUOLBiHKq/1jpiGFc+2DmDLqimmm6W3jrZAraPBZVNo7pMjlvddJYb7KrMRw+NYeELmS6H8aNvXONrYj7mlaZg+PgXC5Bi8svcKbNTrRoNIhksiJbasmmKsk3igAZmCaDSIZKb6is9+cBFaPY1ffVyH8Wmxppu7ZZXZNm/uVs8Q4mzrALqkKrverqMEavPvw5XkZevhYCD0pwGcLcXiCD6HwsErPdi0/xqmCpMwMTvBy9Z5H7uBHatWrcL06dNx+fJlvP766/j888/R19eHZcuWITY2eNegCZbADleDLJhFG8vG2168MFgwj6p7uFwAkRI+CUd2p+6iMzt/+8NyPHbnOPT29WP7+X6PJ+tnl6bjp/OLMbt0dIFqJnDhTIsYv9l7FTKFxrTdG4easP+yCENKHeo6ByGI5kKYEmPK48pOjIbeQOOZ6kIkxnDx84UlMChkMETForo0zRhNN6JGTW07uoeMC07SAHgcChQNKDQGqLR6SORaHLrai+8XG0Pu2RSFbzsH8cgd+ShMj8Pc0nS0SeSoyEnEzxeWoCI38VYpqCI894NSVI1LxunrAzh4pReNvUavrXVAgT3rv4+ffXAJ3UMqyDX6UVGjbxxqwoEGMbR6Gk/PKcT1vhEcb+o3BcI8s+s8xCMak1DrDLSpDJV1cIZ53t3D04UOS3M5wjwYZ+XUfLt5bY7wV5SvK/grsIP565SqkJnAx5kbA7jaLcODU3OD3nlxGJ2YnJyMGTNm4NFHH0VJSQnYbDY2bdqEAwcO4IEHHvCjma4TLCLmDru/acMv97i/gq0/MY8cvC3FgMXTSk2h2978obtbd9E6msxWhOOfDjXhYKPU6/lzgLHD65WpcOaGBAYauNQxiL5hNbITo1GRm4g2sQI0aAhTYnC2VYrKvESsnGYs32YrQvL53VfwZeMA2sQK8DlsPF1zHgMjWuOClwbgDmESorgsiOVaaA3fuUdyjXEJk/llGagal4xn5hRhdmk65pdl4OOLXThzfQA3JQocb+rH0tuysXJavkVuHpOMfbV7CDQADgsoSovHJxe7oDPQ4LEplGYaPc1zrRLTZ/i0Gk/NnWAS5ebeEdR1DSIzno87C1LR2CtDdXEabkoUqMxNwIWbgzYDMpibj5PN/Xhwah5WTss3FSFWaw3YfrrNpWvNXIC+V5Q6qkajvTwxc9LieZhfmoY0th4YGQGioz24MryDr/PEbMHnshEdxcbRxn5kJfAxOSe4vTGXkp0B46KV3//+9/H4449DKBQiJyc4y/eHooj97KMraJOoUHtDjLePtnjshfgS8/BlsViMmktSnyRWM16ErXBtW1iHwdsKs6YUUsTEJ1jcWXsrlDotnod99SI035p34rCNc0MancFULf5HM8ejLEvg0t396180QqGlMajQ4LNvu6DUGsDnGqttiGRKPDOnCHcWpOKbdglog9G7iYtiY1K2wJTbZb3/7MRoHGvqx5BSB5lKh4/Od2DzwSa0i+X49NsutPTJ0TYgh1ytg3hEAw6LwuN3jsObR5oh1+gh4HMwZ0I6zrZKoNEZ8NbRZvTI1LjYIcUfFmWjdZht8qK+bOhBm1hh4Qn/4WAjRENqtNxKJbB1zaTG8nCssQ8KjR5tYgXOt0txvKkfB6/0or57EGdvSEwV9B3d6NkaAbGu2GEzxJ6mAZUKGB5Ga+NNvL/vPFI0CiRpFUCGd2983CEQIgYYrxmpQoNPLnZjcXkWEoO4rqLLIsZAUVTQChgQmiKmG5FApAQkcg3kGtsJocGEWCxGRVGeT4ZcGC/CVRF3ZehHJ5di5axJSIvnmcSL6SC9IcLmIlaQEoOijDjUdQ4hU8A3dbhM57r7Qiee3H4OA8NqfHG1d1QF94/Pd0Cpo8GigP/P3pmHR1le/f8zWyaTZbKvEEJIQhIgIRIQEAFFtIJaRStqtdW2lrZWXpf3rT+3+ra2aN9atRbtYmutFUWxBRUUVFRAEBASICFMQhKSkGSyb5PZ198fT54nM5OZLBAgWL7XlQsyeZZ7nuU+9znne77H7hI8rbkZceyv6/QJk/5w4RQ2HW6ky+QgVKUgLTaMncc76DTZmJIQ4TNJJ0SqSY4MZWtZMx7AJYiDUNnSx48XZXKksYeJMRoONfTi8ggFz1MSIzja1EtYiILf3FjAN2Yk02qwYnW4KNcLpAu7y4NGKWP94VZpbKK6vbcnLHrH37skg+SoUBZkxg/yrLKTIinX93Ki3YSrvwQhPS5M8FxnT+LzyjZJQX+0hfD+ih1vlfbwqa4Nld3GJUlq6O6G9nZobYXduyl/8VUmbXidrJd/j3LtHyA3F2bMOJ1H5JRxroyYTCbjhotS+aCsmc8r2rmpaIJQSzgOMWyd2AWceSycHMGqZXN8lLjHM2q7bOypCK78PlrV+9NBXoqWBZnxrF5fMuz5dM0GVq8voanbyuW5CSNiuA0HfwZbdYcZ5DIaugfXPwl1ZhV4EBiPaqVAuBBrn+76+1d0WtwkadX8YEEGr++vJz5cjVajJDcpgTaDjZVFadKx2vuEPJnB6kTXbMDj8bC7qoOPjgr6inuq2mnqtUqU/n7bhVwmOB43FKZS32XG7YGUaCFkdrxV0EtcOFWYOL3vcUxYCBtLmohUK+izCeHL9aXdPHPzRRKpIyMhXBIfFq/PnpoOH+LJY5vKAhInVi/JJiYshAWZ8eyp6fBpwBkWIoS4HlyaM6LOA/7P4JoV+WCzcaLFyl2ZkSR1ulmu7IL1X0JxMZSUQHk5OBxc6n0gmQxOo/nvucDpEDu8oVHJeeLaafz3hiP81/pD/O5bBUSHn/sCcH8ENWJNTU3j2uP6OiIQU2o8YkulgV31FiAwe+tst7QY6fnW7auXaqxWL8keVV1eoInzw9JmfvavI1gdLhIiQmg32lmSk8CU+HDqOkwoZXKJqffrzeX8bU8dINRqXZufQpm+lwWZ8dLYWvuNEh6o7zLz8ndmS0y55Cg1ZruTp7dWsO9EJ19UC4QKEZ5+D8pgdUqf1XUJ9+hve+pYkpPApVlx1Hea+ca0JHZUtXPltGQyEsIpruvi4/IW7po/mU0/HZjC/e+tyBzUd1u5KC2KmnYTK6drWV6Qwp6aDh/mpfc19zdYwZi73qxD7/v43PZKWgw2shLDWV6QEtQIeuMvX9RgNlp47wsdy5MVYDJBdTURH35IYkMD95SUQG1twH3JzIRZs2D2bJg3DxYtCrzdOMVIW7GMFFdOS+LjY638fU8dD141/hT+g4YTb7rpJqxWKzNnzjyv6sLGezgxUC7mfGiK6T3uRIV5UI7JG2dbTHW484nXNzVag8Pl5uFleUOu4AOJEP9++3E2lTSxu7qd+HA1//iyjjf219NhsuMBLstJ4JMHF3P9RRN48oNjdBgddJrteDwC2eL7rx2Q9BH/+O1ZtBisHKjt5mhzL3Mmx1IwMZrium66zXbiItTsrenkaFMvumYDucmRrFqYyZZSIRxY22mWjhWtURKlUZGboqWp24JWo8TiEHyuUKWMfl1h6jrN7HpoCcnaUH7zUQUdRrtEonjp82qcbihp6OGF7VW8W9LI3Clxg+6td1PPB67M4YnrppMgN0rXNlBY1+ZwU6bv8ZHIGq08mv/9DRpCdjgEY2UwkG41oN63m1X6A8S+9jf45S/h5ZcJ37cPdDro6Z/kVSqYOROuuw5++EP4+c/h7rthyRIhjBgdDTHnTr3iXIUTvZEeF0ZLr5WtR1u4OCOWtNjxJTko83gCVYCA0WjkD3/4A/v27ePnP//5eaPSodPpAMjLyzvHIwkMcRV5fWGqtIrU6XTjdrwivMd9R65y1OMdaXfiM4HRXN+lz+2gus1EVuLgsNjq9SU0dlkIUcpxujzMSo+mvtNMfEQIKdEaVi/J5ovj7fxmawVuICEihH/+YC55KVqufn4XFa19RGmUvLVqPgCr15dQ12EGPORPiEbfa6HVYEMhE6j0cpnASAwPUbA4JwG1Qs6Wsmbcbg8ujxDu0f1qmTQ+senmK7trkfWHDEXvbklOAnaXm701nYgOnEImMNE8HjA7XD7X4aK0aGrajVyRm8jB+m5JagvwuY/DXdtAz/uYweUCi0UgZLS2wldfwcGDQnjwyBHhc/9dIiLoySvg07AJZF99GRddsxDUASZ8uVz4CQuD5OSxHfcocCpzw5GycsrNY7t4tDpcvPZlHT0WB//+yXyyEscPizpoODEiIoJHH32Uo0ePctddd5GcnOxTL7B58+azMsCvG0Yja3MuJ35/+Iy7p2lE+3jn+Oq7zCMqID3X31kskPZvjJiXomXtbbNYvb6Ehi4LabEaFmUn8EprLRUtfZTrDRTXddPWZ5M0CTuMdmrbTXzv1a+wu9xEa1T0WBys+eAY6+6ex9rbZvHNF3fjcAnNLkP7uyi7PELzSjFcaLK7+LCsheX5yVStWS7JYF09PdlHQ3DNinyWPreD1j4bKoWMhVnxdFV3cOe8dCpajZL0lAiZbICarw1VkhgRQnWHmRCFjNLGHlweePewXlITeXRjKX02J/puwTiMxCiNlYxTRbOBV3afINzl4M5ZSWT0tsKXXw4YrcpKcLsH7zhxohAa7A8P1gFP7u7iZKeFSb0aXlOrOdFp5qNjbVw9ezIZE+MgJEQwbCHjl5F3thGqUvDMzQXc88Yh7vz7ATbecwlJ2tBzPSxgGGLH3r17eeqpp7j55pv59re/fV6FFccrhlIb8Md4Ug4QdQgXZMaTESTP7d8i3rvb7ts/ErwP78ksEAEk2Hc+k8bN+9iBRIi9vRyb082cybE8dk0eq14/KHk6KoVsIKfVjxsKU3l6q44Wg/C5+Pbsru7k5Z01rFqcyc+uyuGprRUAUk8xwCffJeKT8hayHv0At0coRfi0og1n/3bitbosO4HqNhMOl4fPK9vxAJsON9FrcQCC9xUWoqTP5mRidBgujweD1YHB4sTiEPJpdpcHef93ujY/hc2lepxugfTh9jCsbqM3hnvevYWNvckcgOBK2mxgMnHkn5vJ/GQHUxsqie04AV1tgw8ml0NuLofiM9gWOpG4RfNYdfMlPpvI6upYddlU1pe2ctulOZCSwr8ratnUrqS13s4vZp5//bT8MVbEDn9oVHL+76Z87l1/iNv/tp/XvjeHCTHnPrQY1Ig98MADtLa28rvf/Y6cnPGXzPtPwHgSI/UmT6xdFpiS7m20Vi3O5N7LsySjFmgyC0TICPadR2vQvQ1kMKM71LG9DZv4d5fLjcXpxu50U9tuoqPfaKmVMqalRHGyy0SXycGCLEEXcN2+esJDBAaiDPD2E174tEoi8uyqamd3dScRagXGftZfiEImUexFOLwO4PZ4cFidJGvV7Kpq54G3DvHxsVacrsHeSJ/NKeXGosNUEsW+tc/KxnsWsOr1g/RanNLnwvfR0txrpd1oY1F2Ap9XtjM3IxZ9j5Xq9j7+fbBhkATXaKFrNrDq9YPouy3srenA6nATrfSQNycR9u4VPK0DB+DQIW4xBNAx1GigoEAgYMyaxYmJ2bxb1UNRWgyhjd0sLZwoGLbQUOFHrcbtcLBg2jQWfGMgqnTtnMn0uGRSEfr5jrEmdvjjltlp/HNvHfe9dZg3fziPEOW5dW6CEjsMBgNPPPEE8fHxgf48bjHeiR2BECx5eyb7g422i7J3cj1GYQ04Xv9C5eFqvgIRMoJ959FKAXnLTy3Pjhg0Xm+iiijD5H1s7wLZBZnxlOl7sDvdWJ1uItVKik9209ZnFwqBcxI5dLKHBVnxXJwRy71Lslj7WRXvH9Yjl8uwOtyDtAcz48O5o7/eKS9Fy/7aTnotTrJiVdjdMu5fOpWv6joJYJN8EBMWQkO3hcqWPuwuIVemVsoIUcjJTIigx+IgOlQl5bwsDjcyhCJpp9vDMX0vKrmMNqMdOZCkVfP0igJ2VrVzsstCQ5eFxh4LLg90muy0GW043VCm7+W/rsgO+uyO5Pn6885qTjR1k+vo5tbWw9x1ZBvXbPoryscfg/XrBSNWXy94YwDx8bBwIaxcCfffD48+Ct/6FsydC+npvHmkhb0NRsLjoll94xxi0pKFfaKihNyWWk1rZ+eg8Y6mg/TZxnggdvgjLkJNlCaETyvaqGk3cuW0ZBTnUPE+qBHLy8tj69atVFdXk5WVxb59+3jttddoaGhgxowZ41ZP6+tgxLwnAG/JnLF8oUbbRdlfsSPQ9R1tofJouumeKqNtZVEa75e2MCU5JqiKwy1zJmFzuHni/aPSpCvKSVkdLo639VGu76NgYhQhSjkPX50nSSr9/JrpTE2KpEzfw53zM/jxZZl0GG28srsWg8VBmFrJwux4YjQqmnqtyBG8sjlTYpmSEMH/vn+Ur2q7SI3SUNHax4JJ4bx3/xLC1Ep2VrbRYxmgzMsQZKdaDFY8CGSNHy3K7M9febC7PESoFcRHqlmUncChhh4y4sJp6LZIx1DK4Zr8FCr7m3B2mew0GwZ0GY02FylaNTfOSqO0sYf8iVEszU2kul2oH8tOiKBM38ud89JZlJMYVDIt6PPlcMDRo/DOO8za+A++tfFPfPejf1BwYAcp1eUo21oHcltTpsAVV9B2w0reXnIr2kceIvbmG+CiiwSyRWgohIeDVsvOVidvnDARMyGJby/JIz4+CpRKIbbmhZEYheE6SJ9NjEcjBsKiclqqljf2n6Rcb+Ab05NRnqNi6KDhxCeffJKuri7sdjuffvopdrudJUuWsHPnTmpra3n88cfP5jj/o+AdZpubEXdG8mLBCAxfF4i5rcc2lbGj1kiMX/2Sf9jSP7SZl6IlJiyE9w7rWTQ1XiqM9s7HiSHQxzaV0dJrY0+NsIB6eGMpVoebCLWSPouTmLAQqbWIVqPEaHNyos3I2s+q+Ki8FXc/X96DUIP3PPDoxlKpzksph/gINb0WJ/FaNbdePEka99rPqgAhh5aVGI7N6Ra8py4LHqC6vU8imkRplDicHsr0vSgVMtxuz6CQJQiF2I9fN90nNyiGDj8sbWZHVTuz0oWFin9HAzGMe3l2AqEqBbOTNNx/7x8oqjvKMsMJ4itKBXUMILL/BxCo7tOnQ1GR8HPRRRArnOPtHdXsOdGDrcHET6ZNFkgXarVPEfKvXj0isEqdHnJPM2c6nsL44xm3zEkjOSqUx989yl2vfsWfbi8iJvzsk2GCGrHi4mI2b96Mw+Hg0ksv5YsvviAkJIRrr72WFStWnM0x/sfB28BkJAgdA8b6hTrVLsr+TTzPNZvQG/5EEbF31axUzZCFtRDYqHtPZs9sq2DZC1+QFR9Gm9EukVcAFmTGS6SXp7fpMPR3UF5ZNJH1Bxo4phc8wr/vqZVIHhWtRuIj1Shk4E1ud7hhxUt7ONTQK3121/zJ6A1WTrQZ+bi8BYD9tZ1MTYpkW1kLboR6salJkRROjGZDcQP5qVFsK2/B6XIjl8HMiVF0GO3ER6gJVysE77Gpl4Z+Q6lRybn94klSyxnwJbRsKG6QrlF1m4mfv3eUhzeWMjtFjVodIl23ddvLKDxygMJPKnisrxbrVwcJdfgSXgCIjBQMVX8+i/x8wbOSyYQ8llrNngYj/yzRszg/ixmpTi6fPRHi+p+5Typ8nrmxXJSNhnz1n47b56YToVbys3dK+eZLu/nLHbOZlnp254GgRkyhEBLSKpWKGTNmENJPN1UqlRdYimOML+qMrN66Q5p8/Q3MqbxQwYzL6UpCiU08Rc9mPDEo/b0psXfVonTNsAbW+5oL8lA6qTYqL0XLZ5WC91DdYQbg+U+OSxP7npoOyRNLjw2nsdtCWkwY/9hbh9Mt0OenpWqJCFWCwYYMSI8No7i+O6AndKjBNym/obgRp8uD3eXC6RbCinUdZqrbTNI2fVYnH5e30twj0N+vnJZMmb6X6jYTKoWM5l4rLQYbjd2Ch5abFMEjV+fx+LtlGG1ONCrhfU+PC2NWeiwfljbz8MZS7E43IUo5BqtTem6e215JU5cFN9Bxopnt+S56n32d9l27WVdfjdwzkMgTSdhtkbF4ZhWRdNklguHKygKFQjBaomcl0tr7jdkv39nJ8VYLNTY92x+8DF2zgcc2ldFttvN5RbtPHzXx/r28s4aCX3zks8g4FZxN6bSxxpliJ/rD6XLT2G2mKD2Gtd8u5LFNR7nxT3v432uncdvcs+fFBjVi8fHxmEwmwsPDeeWVV6TP29vbUZ1nWmLjHWPdZFIszA1Uz3O6klD+TTzHU+jFfzUujmlBomuo3SSIE5fR6pQmfFFGaUlOAp9VtpMVH0ZTrxWbwz3A1rxtls/5BOPZLjEC48JV3DEvHbPNSXWbCRlwsntAdQME+r1cDk4/IoccsDndxISp6DQJ3yOqv97MG0mRatqMdo4192Jzevjvdw7zwNKpPP/JcSxON6FKueD19Z+zut1IRkI4y/JT2FXVTkOXRepgLXZnNlidUtfjDcUN/M8V2Vyt6GJ5yFHq93+MpvgrErtbhTF5jcWNjI6Jk0lcfIkQGpw1i8TU1AEdQo2GEwYHm451cN2cyUxNEfbWNRtY91m1tPC6/4qpPLmlnD6Lkw9LmyVpq0VT45kQE4q+v3FmemyYxIIVGbLPflLpU+4xWpxt6bSxxJlmJwbDDxdO4c39J3lk01H2nujiyeunnxX1+6DEjm9+85uS9+UNmUzG1VdfTVjYua8PCITzkdghqtiPlUzT/75/lIN13SRpQ3nsmmk+hIbTlYTyb+J5OgzK4RhsI2GJeW8j9o/yZzo6Td0jeh5EMkJ4iJLY8BDyJ0Zx75JsEiLVXH/RBO5fOpXvXpLBu4eb6DQ5UMohN1nLoqkJUn8u8ZzJ2lA+q2jF6fZQlB7DjxZn8sDbh3G6PXgAf/9LLoP/d3UuX1R3+HyuVspwuT1YHS5EUQ27001KVCh9tgHSR5/NRUyYCrvTjcvb4KaKAAAgAElEQVQjsA8nxYXRbrRhsDrpsTh9znn9zFT+sbeOfSe6pKaVKdpQIkNVPPSNXNJiwqhp6OBXSX3cenwXN330OlN+9QjKF34PW7cSfeI44VbBE7QqVFROnMqJS5bQdfv32HT9D0h/4KfE3HCNEDJMTRWkm+LjhX/Dw/ndznreOtSM1Ys8EaitzlsHTgrsy1YDDy/Lo9UgLMzunJ9BeKiSO+al89C/SqUedPdensWRxh5cLg9mh3tQRwiRKDHcs3W2pdOCYbwSOwJBrVRw0aQYMhPCeae4kX+XNDI1KZLJcWe2ifKoVezDwsLGrQE7XyGq2I8lZDIZ+ROjBoXRTjUXdiYw3Gp3uPqtvBTtaYUzdc0GiRixekm2jyc31DUSt0vWajjc0ONTT3bHvHRq24XvlBSppq7LwjG9AV2zgbAQhaRr6A+XB0GbboKGr5osUp2Y1Tk43OgGuk1Cx2Tvv3aaHHgznTVKOY8sy+Onb5b4kDvyJ0Rhc7nRd1tRK+X0mB24AVtbJ/eFtbH89a3ot3zC96rKUbkEQ+k9DVkjowmdfzEUFbFdpuXfsgncsSiHBflpoFZTIIYGlUoqmg28vkO8XwPzhr8HL+YvF02N9/Hqve9JXooWg8XBnupOmnusUu7Fux5RrL0briPEcM/NeHpPzico5DLuWjCZGy6awANvH+bOv3/FHfMm8ejyPMJCzkzTlHPaimXXrl2sWbMGt9vNzTffzKpVq3z+fuDAAZ566ikqKyt57rnnuPrqq8/RSM8viC0txkOIT4S/mgcMn4wPFKr0n3wCbTPSfMbaz6rYWtaCXC4jJiyENSvyg6p1eOcWxQkuUEE0wLajLXSa7JJCR5fZwaMbyzDbhw5rHmno4cXrJhCisQ6SiPKH1elmYoyGpm6LTxF1qFKOud9QvrKnjlnpsaTHhlHXJeTy7E43e6o7KZyo5e40uLLzOJbdn5OuO0SSvk46TqrXMU9GJVEzKYeS+CkcmzAVS2oab/7X5aBWM6WpiZXE8rs99fSlwNX5vuUVr49gIQJI+cvrC1MHMUDFe/Lyzhr2VHfiAY639kk93NasyB8UMhyuI8RIwuDnc17sXGPGhCg2r76U331UySt7atld1cGzKwspSh97MeVzZsRcLhdPPvkkr776KklJSXzrW99iyZIlZGUNrJxSUlJ4+umn+fvf/36uhnleYjyyq/zVPCD4atd7kgvUDsT735EogdR22Vi3qSygtJFcBqlRoTT3WMh4+ANuKEzl+Vsvko7lbzQ/LG3ml5vLkcngiWunS73A6jvNxISraO6x0GmyC8eWg0apIC0mjLKmnkH5LgAFA+xEN/CHve2YXIphr2eoSvCyfrutQjJQgGTAQPDSfv7eUawOFwq3i8KuOha2Hie/9giFJ48R19c16LhOmZzKhHSmX3s5x1Ky+bMpir6YRO6+cjqG6m6O1/ZyUWYC9LdpsrW3s2ZrDdVtJh76dynp8eE+Rig9Ngy5TPAKRZ3HQNd01/F2CtOEzgjBSEkvfl4teZShKjl5KdpTXqiN5B05X/NiZ4vYEQwi4QPgrgWTmZkWxZoPKrj5z1/y3fnp3LVgMkq5nEi1kqgxyJmNyIi5XC46OjpwuQZWkqmpqUPsMTxKS0tJT08nLU1o8nfNNdfw6aef+hixiROFvMsFNuTZw5mizHuHfIaD9yR3x7x0n5DfSCYffw9P7H+2v7aTk51mNhxs4GdX5fh4rMte+AKATYf1rFqcybp99WiUct491ERCRAif6lqp7zRR3WaUNBK9WZBfVnfgBomyDkJ/L7vTg8nuDKq84e+bVXbYpYk6RqPE7HARHqIkVKlAbxhQZbc43NzzZomUz/IPLUa7LMxsqmKu/hizG46S31iJxm7BH6YQDTUTs4m8ZC5fxU/hHZJQxsTy0+XTWThjIt+s6uaFHdUYwqPYVFOPweqit8o3b7eyKI1nPq7E4nD59BN7eWeN1AR0Q3GjRGQJVKPX0G0BmXDvu812dh0XzuF9r8VnSKWQ02myU9VqHFEz1OEQ7JnPT42ips1EfmrUEHuPP5wrYsdQWLVoCltK9fzjy3o+q2hn5ew0brgo9ewYsddff50XX3yR+Ph4H2Nyuir2ra2tJHu1OEhKSqK0tPS0jglgs9nweDxSS5ZziS/qjLx+uJvvFMawcHJE0O2sVuu4GC/A2r3t7Kg10t3dzer5gRPKpzLehYmw8JZJgH3YfRckuuhO17Ag0cXarYf5qEooFMZmCjomb2So6Nd37EGn6+HKDIHoXZii4be7TDg98ML2ShYm2rkjVwk9TWiUYHEKL8RPXttLXY9TMgymfsPUYrCh6n8FlDKIVLh4eesB6luMAcfRa3ESp5ETH+pB78UMHArem3RbnGiU8OM5MfzlQODworj9/JA+vmU+gXn3AWY3lJPdUoMigKp7tzaWQ4lZVEzIpnJSHicnZOEOC0MdpubXy9N4dWszJzpt/GxbNbNK9ZTozbQYXTy+6TByD6gVsHK6VrqHFS19vL6vBxmQFKFkQaJL+tsL22vxIBjYldO16PscAlO0p0m67rqeJlbmhfO6zU682sOmkgZmpWpY1H//vZ8V8RkS3yuzw0l1m42nPyiDvla2VBq4NkdLRmxwUoPVauXDPYd9tvV/5v99tIf1pd3Y+0k4H5c3o9OdG8V28V0bTTsWl8tFc0vzGRzVqWHBBCUJ6kg+P2HkD58eJ8RtZeGE4aMOMHRrrWGN2D//+U+2bdtGzBg3hgvUxmwspKzU/b2BxkN/rtVbd9DQ62CDzjQkcWO4h/RsFRTrmg2gNnNZbrjk9QTKC4jj9R/XkIrko0AesHyB8P+MKQZQC55Y4cRoVm9tOIWVt44Vl18s/Deshue3H0etUlDriJaO8+zKaB7eWIrF4aK+x+mzd6pWTbfFgcXhlkR43cChZivNJg8Gi5NIjZJei+9+AJ0WN1aXHZcHkiJDaO+z++Sw7l4wmYrWvqA5MIsTXjnUi1qpQvLbPB4yOxuZr9dxsf4YRSePMqG7ZdC+bmTUxk5Al5pN9aQczLMvZvHVl/DSF7U0Wz0YPXJsDjd2s5sFKVFMzcvjvxzR/aSVUHbV91KYFk2EwYrR6qTTYCMuXMWGcgOJiYmsWpzJ2r27aDEK3/s7l2SyfMFAHuq+pSE+edBgOaa8PFi1bOjnXNds4NGNpRxvNXLfFdl88cgcn+PtqelgV72FmJgYli8YeJcGFcDrdOypc/psuzp6AjFe593w9keYHB7UShnaUIUgYJ13bjqun0o/MYVCQUry+Ax/piRDQYadN786ydPb61F/czp3XjL5tI45rBFLTk4mMnLsKabJycm0tAy8eK2trSQmJo75ec4lxkpF4GwVFAdKrg+VF/Afl/j7/tpOWnptYzLevBQtf7y9CBhoWDlcjkLXbOCBtw5R3W7krvmTuSlrIIKwanEmr+yupbXPxi83l0sEjT01HfzmxgKe3qqTtAbnpMeQnRxJfaeZPX7UdzE0Zne6USpk9FkHGzARJrtgtlr77MRolHT3GzulHGalx7K9QmgrkhQZQmuffdD+fT1GcvXV3KA/xsVNx7ioUUeUOYCqu1oNM2eyUZZEaVoelRkzCElJosXqocMBFqeHLZ83YnPJUSrkrCxI4aNjrf1F3cJEKeYpPyxtprqtnKpWI//bLzn19FYd+n4xYDG3eW2Olt0nLRisTjYUN/iQKfzJFeKzdM+bJdxdP3mQCv4Xx9vZfERPemzYICO2bl+9pGIints7pxpI2UbXbODhjaVSoXawTgn+IWp/tuMFjC1iwkP44cIpfFrRyv++X05Tj4VHluWeshMT1Ii9+uqrAKSlpfGd73yHyy67zKdu7Hvf+94pnVBEfn4+dXV1NDQ0kJSUxAcffMCzzz57WsccbxiOpit5Lokuhlprna2C4kDnGcoQe2/vTZG+Nj9V8sTGCrpmA8naULqMdoxWofg12LVdt6+eilYhxPfql3V8dFTFI15el/iuON1uSQFCzMHkT4ySjFhFax8bfnIJ97xR7BPmUytlaFQKTHYnJrsTu1MIO4UqZQEp8d7o9vLWXG745eZyKccmGrAEh5GCk4KXNbtRxwx9JWqnY9CxekIj0KVko5uUC/Pm8f37V1Jtk/OXd8rQ9znJTY7kiRtm8MBbh+jqFa6HyJAMDxFybI8sy5M0H0U88NYhNvUvTkAwPtsfvIw9NR289dVJAGZ7scwKJkZT32XisuwElj63I6in/ODSHO55swSAv+2po/hkNz9cmCk9Ky98WoXJ7pLa1HjjjnnpHNP3crzVGDCv6m+IxIJ/q8OFNlTp8/wOl1cdjtk43nGuiR0jxcLsOF7aUcPLu04QqpSzck6a9LfRkD6CGjGTSShkTE1NJTU1FYfDgcMx+EU6VSiVSp544gnuvvtuXC4XN910E9nZ2bzwwgvMmDGDK664gtLSUu69914MBgOff/45a9eu5YMPPhizMZxriJ5Ld7pGCp8FwtliGwY6z1CG2Hv7xzaVSV7cmaixWbevnsMNvchl0GWwBfTGxNDRyqI0cpMiqG43Eq5W+qih6JoNZCVGoFLISY8LGyTwC9DcY6G0sReD1cmMJ7ZxcYYvbVyGjPhINT1tTryzWFanx0cVYzh4gFaDlYmGNmY3HWNek46ixmNkt9UF3F4flUjz1HyOpuXSNXMO24ijDwVGjxy1Qs73k5N57o1iqjqtaFQKvrcgg0c3lkoGHQSWoFwuk7pFl9R3Sz3MRKagtwFLi9Xw4NIcwVutape+28H6bj4sbeZn2/S4PDLyUrS8sqcODwT1lJcXpHB3/WT+tkf4focaenlue6XktU9NiuBQQy+hKjm6ZoOPN5aXomXTTy8NeF2CUfb13VYmxYVJ0lQivu7U+fFI7AiGWZNiqGju48XPqzHaXGQlCtyBRVPjT9+I3XvvvQBs3bqVZcuW+fxt69atpzpmHyxevJjFixf7fHbfffdJ/y8oKGDXrl1jcq7xCFE4tjBFc66HMir4az3CmfcWxeN6i9H6QwxXbShukLT21nygo6qlZ0Cgtt8YikZr7WdVNPdYKWvqZUFmPMsLUtj000uZ/LCwWDLaXZJuoogErZoHl+b4eFEihjNgcreL3PZ6Lm4SQoNFjcdIMnQM2s4pV1CTMInKiTkcmzydo5kzuXb5xdy6aCpFMhk5j3+IzelByM65CVHA9Ce2kRYThscDVoeLLWV6ShsHhIRlwLMrC8lICOdbf/oSk92FB3wMuCg5BbCiMFViam4p00uq+iCE3J7bXonJ4UGlgIpmg0Ti8L833kbm8eumk6gN5YVPq5iaFOHjiQGSXJo3y3EovLyzhmc+rkTWz9MU9xHfLbFI2hvnK3X+6wi5TMbNRRP5084a/l3SyP9clTPq3mTD5sRefvnlQUYs0GcXMHpsKdNT12FmV52HVcNsO57U4kWtx19uLvdZ0fpPOmM5Zm+vL1ioxzv06a0feVlGWEBjK45JFNx9eKPAjt1Spg9w9AF09Nn45FgLXaYA6ux+0NitFDZXMl+vo6jpGIWNOsJtAajuqlAqUzKpTs8j5dqreNYYS7sqnD63DJvTzZz0WLQxWuY9/SlGmxOnn7W0u8DuclHTYaQwLZry5l4+1bX66DPKgH8VN3Cy28xtc9LYUdUudUoQ75O/ask9bxTzcXkr86bESt7tXfMns2pxJvtOdFLdZsLl8jAjLYqa/p5jQxWCi4XJ3vfQ25CsvW2WtN9I8OLn1ThcgiH13sdblBnw6fL9dW9DdL5BrVJw9fRk/rmvnnJ9LwUTRxcKDWrEdu7cya5du2htbeXXv/619LnRaJQU7i/g7OF0yB1jHT75TmEMG3QmjFbnqGWjxhIfljbz5JZyHC43eSlaHrtmGtsfvAwQwptN3VYmxIRybY5vWMp/LAqZkEewO908t72Sug6zRK+XA/5EdYvD7RNy80aCsZvZTceY26xjdsMxcluqUQaguneEx6CbkI1u8nSqpxZyOD6DHlkIEaEKYiM1HO7qAbtLav2SmxQhkRRE+NeGgcD6FZpkCr8r5UIn3laDDTf4eJXe1+pfxY1sPqLn3suzmJsRJxElRDR2WWjqtXDX/MnMSo9l6XM7qG0XUg5uBPFX7y4AogI+eAkxZ8ZLBc/BFjWjDZ17kzC8j+m9WFm9vmRArHlZ0gVJqXGIqcmRxIWH8FVt19gZsaSkJGbMmMFnn33G9OkDLKLw8HAeeeSRUx/tBUgQi21HorJ+OuG6UwmfDOVFiVqP3sZxrMc8Ejy3vVLqz7WnutMnBOVz7p6moMdYvSQbgOYeK829Fjr7bDjdHpT9ivL+5ketkGFz9f/d5SGzq5GL9ToubtJR1FDOpK7Bxs2NjJNxqegm5qKbPJ3SrEJOaJPo8yiwOj1YnS48FgAnE6KU6Jr7pH1PdJhxIxAh/Ev+hUa6Mpxe7pY2VEWXeSB3rZTLKUqP4USbkeNtRlQKGR4PdBntfFgq1BLtOt6OXIakqOJ0eaQ2J+L12VrWgqd/HHH9AshRGiUGixOFXPB8xGfrue2VkgK++PysWZHPY5vKxnxR4+/VBWqj4+t5nR+5otPB+ULs8MecyTEcrO9m0dR4ItUjF5MKumVubi65ubkkJiYya9YsNJrzK29zPkB8uYcr/vU3FsOtZv1xKuGTkXhRw61oR7uqHq3H+ODSHJ7cUo6pP7yWHjsgMOt97g9PnGBdkGtW225id1UHRpvTJ/QWSCJK5XKwzNLMMkMNaeUlpJYXEx2A6m5XKDmeNAVdWi66jBmUTSlAHxolhAYdbmxON5g9gJNQpdzHneq2OIkNU2HqZxF6e1oehDzV+0f0qJUKQkPkTEuJIiEihC1lzSzMiudYswG1UobN6UGjlFM0OVaq+Vv4288kRZEus4Of/esIACa7i6RINRNilKwsSmNDcQNNXnmpmLAQFF5tYsw2F1mJ4awsSmPXsZNotVofL8tftFfEWC5qgi2yRPUP7zY63s+pTvf1N2LnE7HDGwnaULrNDlKiNKPKiw1r7t577z2efPJJoqOjKSoqYvbs2RQVFREVdX5JsZzP8Pak5mbEjXo1eyrhk7GacEZjmAJ5jIEmK+/P9j26VKof869TErerb+nmcItAXw+ksyh2YlYr5T5ejNZqZE5LpcAabChnelMlaufgOq7e0Ah0KVlUpOVyLGsmurQ8OuRqjC4ZVqcLh8sDpsDedrhagdXLYtb1OIGBkKEHmBwbRmOPmUXZCWwpa8blAYvDhdnhoqq1jxaDkhduuYint+okzxTA4nTTYhCM1mObyogPV9PYZSFKo8TmcGOyu5DLQBuqlGrBntteSahCjsXhorlH2Fd8BjRKORuKG6X6qcc2lVGit7AiOV7q9SVeY7HWzJtyP5Ys22CLrAeX5kieWLBnd7hc7XjKP/8nwWwTFnWjrRYb1oj99re/BYRi5I8++ognn3yStrY2jh07dirjvIBhEOgF8l7ZBirqPBMYqwnn6W06GrosPL1NN6wRC+Qx+usoBtLWC6ZxJ+6bHaskOUrNgsx4YKAFi8HiIFKtJC1Gw3fmpbP9owOkVx4SWIMnjzK5rR55AGWZJm0C1ROnUjZpGpVZ+VQnZtDlUWFyCaxAp9XDYFXEwLAFcPkSwlW0mwaM6bQJWnY8dDlzn9ouGEQE46ZWypDJoLrNxMMbS4n1oyTHhYfw4NIc1u2rZ2NJE/ERISzLT2b1kmzWfHCM3dWdJESo+cf3BTWTW/6y1yfn9lllu0R1F58F7wJl/wap4mcixpIF6P9eBFtkjWTB9ujGMg419HBMb2DTTwfXtoynbuX/SahqM5KXokU+1uzE9957j+LiYo4fP050dDS33347s2fPPuWBXsDQCPQC+b+Yp/pinYsVZnpsOI3dFtJjh2+MF2gC8p6sxGvjX9f1aUUbnv5/YcD7C1XIMdqcVLY7MTvhr1/UkJEQzur1JZxsMzCtq4F5+gquN1Qz8ZlDrOpsHTQml0xOdXwaFRNyqEifxrHsQpq0CfS65ZhdQksUl0kIDZ4KHH4sw9z4EJ6/fS4PvHWYitaB3NgDbx2i1eDLhlTK5Txx7XSJRNFuHPi7Qga/un6GdD03H9HT3mcjJiyEfx9skGSuxIaPq/55EKNN8Einp2j5qr4bhUxoVxMTFhJQSiwvRcvq+QnS7/7PpegVJWtDB9V9BcJQXrv/e3E6i6zj/df1uNf19cZ46lb+nwKD1cExvYHvX5ox6n2HNWJPPfUUkyZN4tZbb2Xu3LmSsvwFnBmcyRdIKq422yX19rE2Zv4T0WPX5I2YMh3IyIqrblGTERg0bn+FfNEDEGF2QqTbRvRXX7Jz4195qqGc/AYdGqsZf1hUoRxLmoI+axr6nEI+jcvEGBZJh0uJyenB4nDhNg3taQViDQZDilbtU39lsLn45ou7UXqtRndUtPm0WBGhkMsoqe8iSqMiPS6M3KRI3vjqJDaH0N356a069tR00G22Y3e6CVHKWZAZz31vH5KOYbI5uOUveyXZrMU5Cfzx9iLpXnSb7acsJba8IEUKM46k7msoz20s3gtds4G1e9u5bU6aFBYNhPHYymg0OB+JHa99WYfL7eGK3ESpjctIVTuGNWL79++nqqqKAwcO8Pzzz1NfX09GRgbPPPPM6Y/8AgbhVF+gkeSe7piXTn2niZ2V7bj6WQxj/bL6T0Sj+T7BwjhDhXcCNdv876U5vPDWbmbUljH7ZDmFJ8vJ0lejdA82PEZtLBQVUZKYwdbwDNRz59DokHPbwqms21qBvteGq290nlZkqAKDdWThxJNdFlQKmeSR6fuE/bw9NG8DppTDxGgNdV2CXqGofmF3ujlQ143N6WZyXBhKhYxkbajkuYarlXSa7Dyw4RALs+LZebydcLWSqlYjRrsLlULGldOSWL0k20fIeUuZfkgpsUCF794YjfEZioA03HMU6Dnwx7p99eyoNbIiJobSX3xj2PGcrzjfiB0Gq4N3DzeRm6Klpt1ETX/pxkhVO4Y1YkajEb1ej16vp6mpib6+vgv9vUaAsx26G0n+IS9FS4vBisnukujPI4X39xkKp1NIGmzCG2oifGlHNXani0/e/QLPX//K4rYKZh0pZltbY8Bz1MakUj0hm5krlvJxRDpb7FouyU/j6tkZaEr03Dw7jbwULS/vrKGh2xrwGMMhmAFTygezHt2A2zVA6Y8JldFn96BRKeizDRxHBvxggSCau/D/PvM5hljnJubXGrvNbF69EEAyRh+XC2LbNqeHk91mCiZGc6ihR0qiK2UySWhZpMKL3tf1hULvwP21nSzIjPd5nsXC92DP3WgWMadTvxWo6ao/AuXwLuDcY/MRPU6Xh2XTk4ffOAAUv/jFL34x1AY33XQTNpuN/Px8fvCDH/CTn/yEK6+88pROdjbQ0SEk/BMShu87dSbx++3Hee+wHrvTzRV5SQG30TUb+P3240TKHWRPOrUbKCI+XE1lq4EHl+ZIeY6htvv5NdO5JCt+xMf3/j4F8fKg19fp9tBlsrM4J4GEyMF9ncTvnBqtGfT3hEg1V+QlDft55ckOPvzrJiZ8sJFbP1vPT99dy3e+2MDssj3En6gkwiTQ3p0KJeWJGXyWPZdNs5ez5eaf8Nb8FewpWMS/QiczbUEh8ohwbpg7hdzUaBK1oazbV09qtIaH/lUqGYUwlRyHe6QBwuAY6hAifyQ8RMENF6VxTN9HenwYNocbh8uDNlTJ+h/NByBZG0pxfRemfiOnUsqYEh9Bj9mG0w0yj2Acb5kziSvykvjHl3Xo+mWhFHLhXE09FlxuUMkhQq3kviuyKZosaESmRmuwO93cMnsSYWoFd8xL54n3j1LdZqKy1cB350+Wxu00dtFsQXru/O/vUPfbGx+WNvOTN4qJD1cHPM5wUMhkHGns4d7Ls6Tv4Y+ESDVTQs3kZZw/KZGOjo5Rz2Wtbe20O4a/ZuMBhxt62FHZzpXTkpmW6rvYT48LQ6tRDXuMYT0xsfml0Wgck35f/ykYSRhlpALAI8FIV7GnutodafHwcMyuof4usgZhoItzZYuBD3aUc6utntSyg7B3L1MOFpNjHyz51KsOp27SVI4mZVE5cSrHkjJxREVjV4XgVKqYnZ2M7nAjTocHh9HGr7YcQ62SkxYjtP5Y84GQQyqu68L7UbcEyEeNNUTdwcgQGe8dbsLscJGfGsXKojSe334cpVwmKfcvL0jxKfR2OD2UNfVKY/YA7x5qQqOUY3G6pVxifaeJ3dWddJocxIWrUCs9AcNv3t6T+KyIHra/Ur1Y+C4iWHse8fdg8I8kjJYheL4rz/8nor3PxruHm5gUG8alo1hQ+2NYI3b8+HEeeughent78Xg8xMbG8pvf/IapU6ee8kn/EzCSMIokxzMCxY5zDe/voxvCiA1nvIf6+4aDDRTXdpLR28rJko/I66khbvtO7j95ArkXVUJcmzlSJ2DNL2Rf7GT+LUumOSkNZWQECYnRHO10YHDLsDrcOGxufrBgAusPNGBxeJDLBkJ7FoebZz6uZOHUBKra+vB44HirUVLqEFXp5TKBSOHPJjxVBAotRoYqaex1InZz2VLWzPO3XsSfd9bQZXZwz5slhP9Lgd3lJlQpR6OS43J7iAkPIUQhZ3Z6DJ9WtGF1uDDZXby2rx61UpCIW7Min3veKEYhg1CVgl9dH7iWKxhE4zlcTzf/+zvSnJh/GPoCQ/DUMV6JHSEKGWqV8DxaHS5+9HoxGpWC398yk0Tt4M7ZI1XtkHkCtVj2wq233sr999/PvHnzAIHo8fzzz/PWW2+N9jucFYjqF+Ohs/NIcSrdW88lxmy8Hg9YLHDkCB3bttO67XMmHD9KdE/7oE1dMhkNielMvmohzJ4Ns2ZBaip/3NfE5w1GwiPDONpp46ZZE5mZFsMvN5dLnkmLwUZajAaT3UmXyYEMCFXJcbnd2F1IeaGUqFCaDVbCQxRSe5LwEKID4qkAACAASURBVIWknhEbrqLb5BgR8zBMJcfiEIyNpd9aaVRylHKB9h+hVjIhOpSqNmNQ5fu7+3NgeT/fGtAbTIvRsGhqglQ3d31hKmtW5Eskh9npgoyP6G0FytOKRikrMVzSUhwqnxuoU/KpPgunkjc+XR1Q//GO97Ysp3J9j5SVU24e+0bGp4tFU+OZGCOo6jz0ryO8U9zIq3fN4bKc02uGPKypM5vNkgEDmDt3LmbzYGryBVzAsLDboacH9u+HPXtg3z4oKYG+PuIB74CCW6OhMS2biAXzaJycy1+MWm5bMoPJBWkQFgahoaBWs0QTzycbyzjQ0sd9V2SzanEmL++sweJwce/lWew70UmLoZ0es50+m4sItQKrw+VjFEQb0tZnZUFmHMX13dLfTHYXaoUMu8tDr9lBolaN2eb0IV0EgsgotDjdJGnVhCjkPLIsj+e2V9LX5qTP5qSy1SjI63itI7NiVVR3OQhTyZmVLuR2Hlg6ld99XInd5UGtlOH2CMY1PkJNt9mO1e7CZHNitjnRNRuo7zLz9o/ms3p9iUR2WDg1IWB0YLgC89H0lxsJPixtlhYYWYkRHO7v1ux9ngfeOsS7h/XcUJjK87de5LP/UASmkTAU/XGhLcvZx7+KG9lwsJHVS7JO24DBCIxYWloaL730Etdffz0A77///oVasXGKsWBE+h/Dn5U4kk7UgGCwbDZobhYM1pdfwsGDUF4OAZqrOmPjOJGeQ+yl84m/7BJebFayp76XxTMncc+yfF7SaATD1e9eCeOq4o556dS0GzHZXTzzcSVtBqtEO3/x82osDsHYiEZH9LDkMga1KZHJ4GiTAYvD7VPr5XR7UCvlWJ3uQQXHw0EbqqQoPUbK8YHQM8vlEY/vkc51cXoMzT39HZgdbmliXbU4kw3FDVS3mUiLDWP7g5fx2KYy3j7Q4KNYv6WsmTC1UjJADy7NkQqhg9VpDVdgfioYSips1/F2qQebSiH3KVoX8e5hvZDXO6wfZMSGYr+OhKEoQvTALstOkI57AWcerQYrv3y/nIszYrl/6dikpEZU7Lx27VpWr14NwOzZs3n66afH5OQXMLYYC7mcoRLzQGAiimiwbDaorBSM1oEDgpd14kTgE2VmCiHB2bPZH5XOyycdfP/STKbmp4FGw/I+J6ajHSyZnQaxojGtliZG73Hde3lWf2NEeG1fvXSKlUUT2V3dQVWbkaJJMXzl5WG5PRCpHqCxewCHC3otDul30bi4POAKpAg8DJIi1RRNjuHzinb2n+jCbHOSmxLpEz7MnxDFtNQoNEo5r+2rx+32SEr5vWaHpHThPXl/WNrMruPt5E+IosNko7nbgssDd85LZ1Z6LNuPtfKprpUFmfG8/aP5AUsjApFoRAyXzx2u3CLQcyh+VpgWhd3pRiaDR5blBfR+bihMlTwxfwzlCfoXvQ8F74J4MYx6AWcev9xcjt3l5rc3FYy6+WUwDGnEXC4Xf/7zn3n88cfH5GQXcGYxFsnwYAn578xLRyYDrRLmRduoPX6Sj/dVc627lQlVRwUvq7gYOjsHH1SlghkzOJmRx0ZZInNuuIIFF08FuRxCQvjnuzoaQp28UOtkwTLBy8+Kg0cmD5Qm+E+M6bFhyGVCp+dVizNZODWBdfvqfURq67vMNPZYyY4LobzZMKg3WKCQoL9q/GjgfXy5DC7JjGPb0RbcQKdJEA4+1NDrs0/RpBgp7+VwCV6Zrd/KtRvtrF5fwtrbZvlM3kuf20FDtwW1Ss7L35nt4/U8tqmMtj4bHoSJevuDlwVliX5c3orb7WF3VQe/ubEA8Goe6dUo09+r99GzzB08hfg/O6LRLUyLktqjDIXnb71okAc2Eng/B8PJXH2dG2OOV2LHwbouPixr4X+umsrk+OFl6EaKIY2YQqGgvLx8zE52AWcWYyGX43MMl4u8KCVrLpsINjO0t/P/Og7S9dZ2jAfLuPNEJaEBVN3RagUvq6hI+Dc/H9Rq1rxZQovRRVWHggUpKUJ4UKXi2stUPLu9krsuDb6CvmNeOt1mO91mO7pmAxuKGzBYnZJyfSCRWl2zgWP63kGG41ShVspZkBnn01gySqPEZHOikMtYkBnPrqp2oQ+ZBzaX6iUGotgexR9vfHWSx6+bjkalwOJwo5SDN4ejtt3E2s+qpELkD0ubMVqdJEWqyU+N4lt/+pKoUCXvHmritjlpdJvtFKZFUdthpqnLwq83l2NxugcZI0G9xcy+Ex0YrE6e214JMKJuCf7lFv7hQ//nUGyPolbJz3jh/0ijEV/nxpjjVbHjb7tPEBcewt0Lp4zpcYcNJ06bNo0f//jHXH311YSFDfRruuqqq8Z0IBcwegyVAB813G7fsKDVCidPDnhYJSVQUQFuN7GATznphAkDBmv2bCFUKJcLS0KVSiJi3HLjpbzwRR3XLcqEyAH21LKCFJYFmFD8mWMxYSG8d1hPTFjIiFbSef0yNqcKmS/nApvT7WPAZIDR6sTlEfJmB+u7fWjziRFq9AYbMmD5jBS+PNE5KKemUSnQNRuYlqqlvtPMN6Zo2F5roa7LgkYlx+4Ve9Q1G6TuzmkxGraUNeNweST2pEipL0yLptcisChf21ePUi6Xmlx6a1JqNUrcboEkIl7HkXRL8C+3GE6Tc6Rez1gwBS9Q88cnTnaaONFuYvWSLEL7afZjhWGNWG9vLzExMezfv9/n8wtG7NxjqAT4kHC7BUPlbbQsFqiq8jVaTYPrwTxyOS1JaYTNn0fUwnm8L0/mr1Um7pibzi1z00GhEIyWSMRQDygHLCnQsqRg5KQgf+aY9wSVl6L1meiCkVruvTyL/9tWMYjGrlbKkCHz6eU16LsOE0/0AGEhSvpsgq6i2+1hcmwYzQYL4SFKbC63tN27h/U8siyXZz+plDwylUJGelwYaz+r4nBDL4Vp0Wyp7KbNKBgli8ONSiGjsL9d+7p99didbsJDFNidbryrY5RyISdmcbrZVdUu5fTunJfOjqp29F5NLr0hl8tYnJMgXcvlBSk++bLadtOwZCHxvhzT97K1rIX6ThPr7h5gNPs0pRyCfDQWTMGxiEaMd9r9+YjdNZ2EquR8c+bgPOfpYlgjdoHEMX7g/3INlQCX4PH4GiyrdeDf0tIBg1VSAobBXYrRaKCgQPCwiop4sSuMD2sMXDk9mQevymX93/Yhj4xgU5OdW9LSBKPlJXfhzQLbUdU+qonBfwU/1AQVLIy0anEmL2yvxOTwtUg2pweN6vQTyyb7gDCw0e7C2CWUn9idDkJVAxqjHuAvu2rIiAunolVgIDpcHsqaDISrlcSEqyiu7xpUD+ZweXh9fz2rFmdKxqLbbOczXRthIUop93fHvHRq2wUDEKVW0gBcnpPA49dN56YgRIzVS7Ilz8kbYr4MhHYlTd3WQZ6cN8T7svD/PsMD1HcGL8FZt6+efxc3svmInt/cWODzLJxKnupMGJwLtPuxRbfZzjF9L5dmxaMJGVsvDIYwYlVVVZw8eZIrrrgCEFiKfX1C/5077riD6dOnB9v1As4Q/F+uQQlwb4Nltw8YLLcburrg0CHBaBUXw9GjAanuxMUNFBPPmgV5eUJIsB/XdpoxhdazYmkBpMaz7LoFvLTzBD+YlyF4XkHGXN9pxuHyDNu12RujyVsECyPpmg2SYr8/LA73IKq9P4LlskREhipRyuUScUOEB3C5PT4K9Z0mB51ezS5lwFXTkzBYHDT0t2NRKyAiVOWzXbhKKalqrFmRj67ZIBmX+i6z9JkYahTxRbWgIxrI+HtP/rXtJlavL5EMgZh/BLg2P5XntlcG9eS8IdbBDWWE7piXzuYjeikP531/TyVPdSYMzvlO+hgPxA5vdY7/21aBQi7jvqXZI1bhGA2CHvHZZ59l1apV0u+7d+/mvvvuw2Kx8NJLL/HHP/5xzAdzAUPjwaU5/P7T4/z3lTkDBsvh8PWw3G7hp6FhwMsqLoaamsAHzcgYMFpFRTBpko8n5ZPX0mjIyAhlRayGjBzBWHz30il899LgiVpvzT3RExMxlh10A03UumYDq9eXMFRXFH8DtiQngd3V7dhdEKNRsmZFAfe8WRJ0/6JJMezoz5PFaJR0WwQjkhARQqhKQXufDaVSJql2eKMwLZo/3l7EPW8UA4JRmzMxjMduKGLtZ1U091jpMNnosdhpMdh82tusvW3WoPo9u9ONRiVHhgyb08Wd89KDFgB7T/7AoPY5IpEE8GEqDoWRGKG8FC2/ubHglIxEIK/rTBic8530MR6IHaI6R32nia1lLXx77iSK0gMLM58ughqxtrY2Zs2aJf0eERHBN74h9OB5++23z8hgLiAIPB6w21meEcHy70wXDNaJE4Kx8njA6QSdjo5de+n6Yi9T6itRdgWnunPRRQNEjFi/B0smA6VyQBXDL68F4HaPvGbKe0LwL9QYSRJ+JOEi0aNLjw1jQ3EDk2LC2FXVjlIuD5jzCta0MlWrZtfxdkm7sNvipKS+i9ykCCkE6A9vokdPvwFTyKDDKLAE8ydG0dxjRdds8BmLNlTJUzcKElEfH2tBBuQkRfLtAsEjjenvo1TVZqQwLYqIUKXPRO1vtNNjwwhRylEpZHSaHGQlhvP4ddMp+MVHAQuA/Sf/x98to6nbwss7a4YUBD4deHvep1KbFcjrOt8NztcZDpeb/95wBLVSzk9HULt3qghqxEwmX1bXhg0bpP93dXWdsQFdAAP5KzEkaLUOGCwAoxGOHBnwso4cAbN5kHQTkZEDBquoSKC6+4f8ZLIhyRhnEiOZHIcKF3l3H951vAOPR2DqiUWsTi9jq5QNFC4HCw7qA6hx/GNvHfOmxIGXEdOo5ERpVJKKPAhhx+UzUvi0og2ny43Z4aaypY+ypl4fxqJCJrQ6SY8TmL4vfl6Ns99T1PdayIhNkDzURVPjWTRVuKNifZW3ZzUxJkwyRGLJQbJWTVKkGqPVyYelzUELgP0n/4c3lmJxuEekduGN2i4b6zaVjUgl5nQ97/M9zPefht99VMnB+m5euLWQpAACv2OFoEYsMTGRI0eOMHPmTJ/PDx8+TGLi6etdXUA/HA5CHA4hZyWyBF0uX2pca+uAwSopAZ1OMGr+h0pKpjoth/hF80lYPB+m9hcUe0PW30FRoxkwXH5kjPGEoSaudfvq2VjSRHxkCIVpUeiaDZjsLlK1oegNvg0th0hrDYuSfqUPlUK4LbdfPIlZ6bH8cnM5NqcLtVLB9FQtm0v1xGhCpLyUd0dmUbPxrvmTsTjdvHdYz9rPqshMCKesqReXW7gFX9QZWZA5kf21nVI3ZbGs4I556TzzcSUOl4ent1YQGx5Cp8nO01t1Pvkob8O/sigNgDaDlceGMDajUbvwxpZKA7vqhXzecIZJo5Rjc7rQKE+tqe4Fr+v8gNvj4a+7TvDa3nrumDeJ6wsnnNHzBTViP/vZz7j//vu58cYbmTZtGgDl5eVs2rSJ3//+92d0UF9bOJ0DlHbxx+kU9AVFD8ntFkKFIgGjuBgaA3QplskgJ0cKC+6LSudP1Wa+Pz+DvFxhkVHTZmRzmZ7rCyeSMTFuIESo0Qw2bmOA4UJ/p6LtmJEQztyMOKluyfs8K4vSmBATir7bilopx2J3k5UYztrbZvHF8XZe/LyaxIgQqjuCs+WW5CSwp6ZDIm9Ea1QYbQ5mpQkyVU73gEfndAle3N/21LHCZGf/Y0tZ8dJuDjX00tofVmzvJ3jIgMz4MKo7zESqFUSHhUgyS7pmgQXabbZT1WZicnw4NW0mei1OXj/czSJrKC29NvbUdPiEXNftq5cU9z2A2eZEhtA80H+CF++DSPbwb8viD7Efl67ZMMjY/XpzOa/tq+fOeencNDvN5x5em6MlJiZmRHVZG4obcbg8bChulArSL2DscS6JHXanm2c/qWTX8Q6uLUjh7kszaOweeP8i1Uqi+kPlY4WgRqygoIB33nmHdevWsWnTJgCysrLYsGED8fGn3sDMG7t27WLNmjW43W5uvvlmHyIJgN1u56GHHqK8vJzo6Gief/7580d82OUSwoDe1HanU1jK+1TQ2ggtK4NPPhG8rEOHBKV3f4SGwsyZAwSMwkKfguE/vbqfk50WXt1Xx+K8JFCp+LjJyhcGFbYOBf9vftqYfr1ABmk4ptiphJMCFdKK59lQ3CARHBZkxrOnpgONUs6N/7+9M4+Lqtz/+GcAWWTfFyVAQcDCUNQkcgNcABHK1EwtzbLrdUnt2mZ5u5WZ1avy2q+Feyu91630XjEEl3C9mpZICioqICAgq8ywzwwzc35/DOc4M8y+L8/79fIlzDznOZ+zcL7neZ7v8tV5iCgKQhGFqvsCpf2fud2C7QvG4J1DpejhC/H0mCG418HFLzcaB7QdF/Yg/+LBK/dw6lYL42Ivu84WH+qFa/fEmUI6eUJ08nrx5z3FeLFGXF6F9ij0HuyIpOF+2PN7DWru92DxKHdMjO+vMzfcjzm27SfL0dHbh9SRgYgf6oWfLtdiSpQ/jpU1AWBJpVmiDVpBSQMc7FhwGWSHxGG+KKphI8xnMJQh7xrtvFiDPiGFnRdrmFEk/X2EjxPSk6TTQSuL2dNmtEfQDFM5dtxt68GhK/VoaOdi5sNBSBzmi18rpZeeJo3wM54RAwBfX1+88soret0hjVAoxHvvvYcffvgBgYGBePrpp5GcnIzIyAc3+P79++Hh4YFffvkF+fn5+PTTTy1nFNjeLs4jKBsxy+E8cHUvLgZKSjBEnqu7j8+DDBgJCUBMDOCo4OKzWFg+ZQT2XGvBM5NjgIfE8VpTnXxQ51iD2WPVy14gL2O9vEzkSQFCnL850LioWrPQJpuCZGwU/fCcEuWPmvs9TAbyy9Vs/HjpLpYkhmP3b3flegIqQkSJs8rb24nLrXx3vlrhmllDJxfhPoNR3R8Lxuntg71ENeX0uCCm7erkKPynqBY7L9ZgYqQf4wCy82INMwqRV0G5rKyM+XzjwVIcunIPv1XdR3X/aHL+OHp6kIfLd9lo4HDRwJHv/r7lSBnaevoQ6O6Eoho2k6aLzi8ob0Qsm94rNtgDz08IkxqJSV4XWdbt+wMHr9xjzotszB6pvmx99PAEOHajEZeq2fBwdsBiHapoaIP+nfbVpKSkBGFhYQgNFf9RZGRk4MSJE1JG7OTJk1i1ahUAYMaMGXjvvfdAURRYZrp+IwVFiacG6+qkA4rLy+W3Dw9/4DGYkCD+XeY4K5u7cOhqPbJHD8WwQA/xtGD/v6TISCTNkG4fo4bjhKThot/Ca+53o6SuHfx+YyCbiZwd5oLVafEApI3LoglhGBHojsOl9xDh7zrgRlbkBq/McNLb0KOWRRPCsPSH39EnpHDwSj1Ol7cwjhzfna+Gs4brLUyWeiEl12tRsgKz6yAH1HF6ERPojptN4phJ2kXfDkBHbx82Zoxk4q7iQjzhMsgeE4b5oosrEE9PCikkvP8L3s96hJlaVGZQAPGI7HDpg3M8/9sL6OAK+rN8eCLYy0WuUQnzHYw6di9YLPE0j0e/h6OyEXFssIdUeq/NT8bh7cyHpab/lN1Tuf39Cimxx6Q6VaMJlkmfUIRL1W042V9N/IlIP6TEBDDxYcbCZEasqakJQUEP3lwDAwNRUlIyoE1wsPjmd3BwgLu7O9hsNnxk3cIl4PF4oCiKqfBsCtwKC+Gdlwfn4mI4yMnqTtnbgxcZCe7IkeA+/DDahw+HQ+CDjO3Mulg/LDs7sOztcaCci6J2oKOyE8/6Dsadmhb8XNaOWdEeiPDRzqNw+4UWnK7qApvNxqxoD7DDXFB8j4MOrhCug1hIChAy5zIpQAh2mAumRTgDnHosinFAVZsQ4LnARdCFp786h16B2BiA143Vif4a7R8A87O8bRfFOOA/564zXoFd3D508wRwc2Shi0/B3g4QUv1VlB2AXuUzifBxsUNbr7i9myML04a741BZB5OJ3skeiPB2xM1W8TpXzf0uJAxxwbOjPLCuoBM84QOjJwJwruI+ln73KwCgsUuIyuZuUAC2Fd6CQERXDxNntN+SX4qIQZwB5//QDTay2njM9RRniedg9Zj+aUBOPeY97IHvLreBAtDa0YMPk33FiXg59ahq4+HwrQ7MivbAs7HO8LBzR3ywC6409Irvk0EcoP86Sl5bSZIUfE/3HeI+CMcqOrE43hvjghyk2kyNcMWpqm5MjXDFv3+tRG17H977+SoOF5XLvU8l9Wp7DytCXt9cLtekzwZNofVqUt1ZKBSiobHBYJoEQgrXm7m4XN+L7j4RhnoMwsQYd/i5Am33m5Vue9+Hhc7GGqVt5KHs+E1mxCjZaTZgwAhLnTayOPW7h2tbMl1nWlqANWukP3NzE7u6908PsuLi4OziAtrptLuyEsOHS0yz0B6EtBNGv+t71iNd6LxQg/kTwjAi2AM7D5bibE0vvL29B6xLqMtqryHwlhgJpCcpdtCIBZCeJF0ynf4s9bPT6O6j4Opoj8nR/ogf6oXVR2pVvoVL7h+AlBZ5/PTjMfEpAvDq9Bgm5RIAqQDhN2eK9UkGKsuOtGgDxoLY4BU19uHRUE8m632ApwvWTI/Fnt9r8MddDnr5Qpyv6YGjsyvTW7iPC4QQT6nc7+5DY5cQo0M94TZYgLgQT5y42YxVUyPx7dlK8PqzcPi6OmLx48Ow62YPZo2NApzEo5fD1UL8724v/Pz8kJ4Uq7Dm19uxwJjoB9coNvbB+d0lcU9sfjJOuu4bTUMHvJtrEDFM/nmmr6ksdN92rF7x1GRZNyaGB0r9rX0v8TN9HwV5OONsTbvc+3SXHu5hRcjrW1ODYGq00evgYI/08dodo2SmDVl4AiHyrjZgz8Ua3O/iIz7UCy88EY4xD3mr3b/YsUO/6/MKjdif/vQnpRt+8803Ou04KCgIjY0PFs+bmpoGuO4HBQWhoaEBQUFBEAgE6OzshJeX+dXJkcLPD3j9daCiAnj4YbHhGjFCHIulCBZL7C3o5CQdZCyzTUyQBz6QmMrRR8ZueVN82rgyS66HpY8KRupnp9VKByS7f1XTn7LOAXlX7zE1xbwHO+Ls7VZkxYcwWSa+enYMDheVI8Tfl6n4TOPu7IBurgB2duIs9LXsXvi5OSLU2wUdXHEqqD/vKcaLSeHYmDES6dv+BwoPApw9nB3w2sxYHC69h45eAW7ca0dbTx96+SLwBCK0dPHx48uJiA32YGK6HvIejP9VtOK/xXWo44jDAOjpu0kj/DAlwk1qavVYf80vAFJZNBRdo6Thfvit6j6Shit2vtI2XovWRQeVi9c+5TsQlDV04HxlK7YvGMPsU959asis87aa0V4Xxw4604Yk3D4h9v1+F1+fqURTBw/jI3zw5YIRSBzuqw+5OmP/7rvvvivvi4CAAIwePRotLS3g8/l46qmn8PDDD6O6uhoRERFITEzUacf+/v748ssvkZycDBcXF2zevBl/+tOf4Ov74MR0dXXh3LlzmDp1Ko4cOQIej4e0tDSl/ba2tjL9mwQWC0hNBVJSgMhIwN9frjt71f0e7Ctpgl+IHzDYEd5RUYC3t9iIOTqq5QLv7+6ElNhA+LsbPji5oKQBK3Zfhp+rE7ztuQPOb1SgO55LDEdUoNhj0s/VCbeaOrA+NZr5TB8khPtgxZRIJIT7YOmOS+jgCnC1joMVUyIR4uUCvkCEpOF+2PTzNfxexcb1hnb8Ud+NSzUP/qhZAJwd7NDDF8K+f82LHt938QRo7eKDJ+EccqWOgw+y41DT2o1bjZ0YH+YNFyd7LH08Av88fwdF1WzUc3rh5uSAHr4Q3f2jslp2DygKSIkNZM7PXw5cRZ+QAqeXjzkJQ7FoQhjcnQah9B4HzydGYIS7APm3OhDi5YJRQ71w+lYzungCRAa4IWOU6gzgO36txm932nDqVjPCfFzlnnv6PC2aEKbRvUPfbwnhPsy1bm1tlfu39kXhbRy6cg9X7nKQc/YOQr1dsONCNfxcnaQ0GfIelte3Ir3mijZ6m5pb0NKn3fkM8x0MDxdxrlSeQIjdF+9i5Z5i5Jc24uFgT3wydxTWpY5AqAovV2OicCQ2fvx4AMC2bduwe/du5vPk5GQsXLhQ9x07OGDTpk148cUXIRQKMWfOHERFRWHbtm145JFHkJKSgqeffhobNmzAtGnT4Onpic8//1zn/ZoMO7sHOQidnPDTrWocrKNwz6MTz0YPEqd6MmMk3ee3pwWqbG+owFTJGmqSozLJKdDzla24x+ZiiLcz1qdGY92PD6YU3Rzt4e3qiFq2OECXtlX0NGMvf2CiRREFLPrnRXi4DIKrkwOigtwZ78F6Nhch3i6IGyJOL9XcxUOY72B09wkR5uM6YBQg6elHO0vsuljDxIWx2dLBwznPjWWmFFVVKwYGJtiVV6FZX2mkVOkAgNw/6tHNFzJlg0hmePOHoigcLmnA1qM3UcfuxfhwH3w+Px6Jw3zN0qlO5ZOzra0NtbW1jBdhbW2t3tJOTZ48GZMnT5b6TNKl38nJCX//+9/1si+jQ+cgdHV9kM5JwkV+9thwdAhYePYxcXVcQ6NNoLEkktOFVW1Naqca0rdO2RpqtMu25PTlvIRQONizMC8hFOmjgvFOrj14PWLjRAFo7uQx62PuTvZgsVjo4AowyJ6FWXHB+PnqvQH1x85X3EdaXBCy4kMGTFPRWv+8+zJK6oBadi8+efpR5mFdUNKALUfKEOY7GBszRg4I9JXsJ+c4h8lqQZ8LADh7u5XxFlSGbIJdfSZZ1gTaUIb5DMaXpyqQEhOA0nvtZpsyitQQE1NSx8GqPX/gSi0HMUHu+NcL4zExys8sjReNSiP25ptvYvHixYwRq6+vx9/+9jeDC7N4PD0HJtftR/ZBXSbHiOlqdGTR9WEmObL68/flaqca0hRJN//GDu6Ah4qiGmqSRvazwltMTNTyycPx8jhf/LukE31CETg9fQj1ccG8hFD8dLkWPi6O+L2GnVouewAAIABJREFUDTcne3w851Gcr2yFk4M9fN3ELxxNHTwMsmdh9ENeWJ0cxWikr4vk8c+KC8EvN5rQzRdKjTg+K7yFWnYvatm92H6ynFnbkrzGdD/HKzqZrBZ0YPGkEX5SxlMVktdKWYVmSfR9v9FYSmyYrdcQ4/YJcbikAcV32Qj0cMLHT4/CnDFDYW9nvsaLRqURmzRpEo4fP447/S7fw4YNg6OioFvCA5Q4cqhjUPT9Bq3PRW5NUg1pCt3n2dstqGX3DnioDKih1o+itEsAMNRjECaN8IeLgx1+ulyHKVH+OHKtEbX3e1AhFMeYdfGEqGP3oOZ+NzxcHBDmOxjPjg9jUj/RD3Y6AFmekT1f2Qp7FgsuzvZSI471qdHYcOAquH3SU5XyrvGCUd7YfZWDQfZ2CPMZzBgveYaloKQBW46WIczHFRszYpUWrFSFPu83ReVftMFYIyRrSi6sadqp6/Xt2HaiEq2dfLz4RATWTx+BwY7mvbwhiULHDkmuXr2K6upqtLS0oLy8HDdv3kRMTIwR5GmOyR071EB2YV3e4q22i++K0OcCuqCbjfkTH1arr7KGDnxReBshXi5qtad1Bnk4M44h5U1djFOJrKOCvP5lnUw+L7yN47fYKK1vRxdPiFtNnbjL7h0wZXi1joOq1h50cgW4x+HCw2UQNj8ZJ6W7srkLl6rb0Nbdh3oOFyX1HFQ2dzGOGAIRhfezH8HjkQ+8A6MC3ZEcEwARBbw0cRjTn7xr7G/XhXP1PNRzuGjo6MXOFx5TeN5W7L6M6tYeKQcSbc+7svtNWV/y7l1ZhxtdWLH7Miqau3GrqQPPJYbr1BcgX685TyVq49jR2NSCklYKje1cpf/ucXqx89ca/ONcFQLcnfHdkrGYP+4hDLLXf15VQ6LSiG3YsAFHjhxBX18fWlpa0NzcjJaWFkyaNMlIEjXDEoyYrEGRd6NqYnQ0fWDpSmtrK1oFTmrtk/ZS4wtEGj1kJQ2RvAcZvf2Z2y04fr1Jqv+cM5VYuuMS7FksJIT7gNXDRgvfAXXsHghFwCMhHugTitDbn2U+JtANDvYsUBTg7+YEnkCIEE9nVLf1IMjdWcqI/vP8HTS08+Dh7IBgL2cM9RqMM7db0NTBRXlTl8JRk7zrqch7zt3TB1frOFj6eAQSwhUH9vu5OqGknoO4IV5YlRwp1Y+i864IZfebsr7k3bv2LBau1nGwamqkUv3qoG8vV3l69W0o9YmhvBP7hCLsL6rDpeo2zH40BDuWjjcrj0NNUDlmvHbtGgoKCsx6Yc/WUTUVZIj1DnWnnxRNY6q7fVlDB4I8nMHrE2F9ajQzhdYnEKG9V4CpMf7Iig+RSnH05akKqUKQET5OaOzggCcQB2MHe7ngpYnDmVROq5OjsHpvMSqau9HJE6BPSKG+nYs+IYW3c0vB7uljPOtk4+Hoc3vjXgeOXGvE5Wo2BJRI4Vs9/dYfF+KJgmvirAqvTouWmna7UsdBD1+IK3WKY33oOKycxWPlXlN9Fhxl9/AxaYSf2tPHitbBtLkPjVF+xZqmEtWB2yfEvy5Uo/p+D9IeCcKGGSPg4mjcVFH6RKURi4qKQktLC6khZkKU/fEXlDTg7O0WxId6Sj1k5OVEBPTniKHuGpuiNRnJvIDK6lztuliDK7XtyIoPYYKoa9t6xaVOAlyZTBaS3onysqXTD6ogD2fG008yeJj+fkqUP47daIKrowO6+QI0d/JAQRxHRj/sJR+q/7vdgryr98BiiYNMK1o6IRApdiWnHQjolFQAsO1EucZrR6quqa4FRyX3QweQ6/oCZCpPSVXYUp0ygUiEPb/dxd22HswfG4pHQ70sfoCi0oix2WxkZGRg1KhRGDRoEPO5rhk7COqj7I+f9nxzGmQn9ZCR3MYQmQt0jTWSzdQOyH+wyWpfnxot15lhXkIovjxVgXkJoXJHAvSDijbukiM3AFIjEtorMCs+BDfuteOP2nZ4Dxbf+7IGlx71uQyyQ2SAK6ZE+eN0eYvCt3raWMaFeOLQ1XsQUcCIQDepNquTo5hkx4rQxzVVZwSiz3vHVjNoGBt5jh2O9iw4Otjhw4KbqGjpwlvpMUiPExtudyfLceKQB4uSl6BQgt9//13u53QwtLlBJ/e0pvxoqkZi8qaEDOUyrY5ejfrSk86NB0txsLgeId7O2L5gjFRf8vTSI7fIALELOv1z4fopAzLrr95bjHtsLkK8xcUqs+JDsPnJOBSUNOC1A1fRxRfiyfgQuV6Tmh67LeT2MyW2oPdq6XVc75FeP5w0wg+nbrXgndxreCUlCuumjdCnTJOi0rFjyBBxaWk2m40JEybAx8cHfn5+ZutmbwmOHbKoWrxVtugu64mnzjb60qupQ4m89vrSGeLlgnMVLahnc9EnlHZAkDy/tIak4X5o6OjFvIRQ3O/uAwUKr02PQVSgu5Qmf3cn+Lk64VpDO+YlhCLI05nx4Fux+zKTUV8gEmnsFEDv59vTFVj2ryJ09PAx0odlVfeuuWELeuU5djjYs/CX/VcxYZgvts4ZZfFTiJKo9KX86aefsGbNGmzatAmAOFHvypUrDS6MYP7QU5Z0Vgld25c1dGDjwVKUNXRorCU22APbF4zB1Bh/pqAjTVUbj+mXCaZu60Hh+ik4W96K85WtCPNxVbgucr6yFY3tPNS09WDzk3HMqGl9ajSCPJwQ6OGkk1OAZOVkfaDuefwg7zqiNhbgg7zretkvwXz59Ngt2LNYVmfAADXWxHbv3o39+/dj3rx5AIDw8HC9pZ0iWA6yU2yA+mscTEXo/szqitrruvAvr6AjAOwpYeNibS/YPXwm6watoaatGxQl/l8Rio5TnkOA5PQuALXijyTzKdLoMs2q7nmUNJ6yqbAMiSGnugkDqWzpwqVqNt6ZNRIhXi6mlqN3VBoxR0dHqalDgUBFpUGCVSLlKBIjvm30nQ1CHwv/8vro5osgEFE4dbMZs+JCpDS8OTNWpXODsuOUfSBLevwB4rW2vx2+rtSYzRkbil6BCHPGhjJ5NHUx6OqeR3nGUx76DgY2Vy9Fa0HWsWPP7zUIcHfCwsceMqEqw6FyTay6uhqlpaW4du0aIiIi8MknnyAhIUHnUiyGwhrXxMwByYwO4HZqpFc2GwRd1uVuazfey7/BZOLQdH1M3TW2w3/U4G57HwQiCiV1HFS2dDHbKFpTVBfZQGDJ4NzEYX641dSBPoEId9t65QbTFpQ04E+7LuNafTsEIgqj/Ozg7++vU8YWdc/jpOgArEmJwqRo5eEzyoKBtbl39Z2NRhMs4W9NEl0zdvxxl43DJQ14dXo0xkXoFnhurqg0YomJiaiqqkJ3dzeuX7+OSZMmYdmyZWY7r0qMmGGQfDBqqlf2oUo/FEvvtaO1i691poQvCm/jwOU6HPyjXmHtLABw5rejXeQIihLXSzpzuxV8gQghXi46ZzqRfSDTRrG8qYsZvUweEaAw68SK3ZfR0M7DYEd7vJ/9CPOCYMxacapQljWjtbUVlxoECtOCycOUx2YJf2uS6OrYcepWC5o7ePhs/qNwVlCx2dJROZ1oZ2eHefPmMWtiBIKu0DFdupbnkKyd9cZ/SxDh7yp3jSXCxwm7XowHoP8gcEVTjZLTioXrpyichpOM1VJU0cDUqAoGNlUGeH0mGrZGRBSF0joOnojyg9dg8/Qm1wcKjVhmZqbSDfPy8vQuhmAb1LT1QEQBg50cULh+itb90LWz3vhvCfgCEXZdrFGr3hbdxpDBt+qmMrKGbBGmStskm16MIE1dWw+6+UJMivJT3diCUWjE6IwcdFXnrKwsAGLj5ezsbARpBGtFmfH4IO/6gMrH8pAsNPnRU6OYkimaYMgKx5IZQjYeLEWYz2D8dLnWLDOl64q2hlhXL0V56cUIDxw7Sus5sGMBKbHWnTJQoRGjg5yLi4uxb98+5vPo6Gg888wzWLVqleHVEawSZcZDXbdvOt1WHbsXYb6uejdG6j5gVRldesrSjgV0cAU2W3RRHrpO51pKwU1jQ1HAH3c5uFDZhhGB7gj1cTW1JIOiMti5t7cXRUVFzO/FxcXo7e01qCiC7fL8hDAMsmepdPtenxqNUG8XJEX6GmQ6UN1AblWByosmhCErPgSrpkYiMsDVZjKly0M2CJs+NySXov4RiESoY/fg0aGeppZicFQ6dmzevBlvvfUWurq6AADu7u748MMPDS6MYJu8nfmwWoG39BRWQUkDVu8t1vs0nbaxVrLOBpKjTl1GDcYs3KhOxWhtkB15GXI619Zp7eRDIKIQYwPB5CqN2COPPIKff/4ZXV1doCgK7u66F6YjWA+mzr5gKM84dR+wskZXU2cDdc+fLsepqQH8rPAWatvEU7XqOMuoC8libzwaO8SzZcP9rXsqEVAynXjo0CEAwA8//IAffvgB+/fvx4EDB5jfCQRA8/yJ6qAq95/k9+tTo/U6TVdQ0oDUz06joKRBq+1XTY2Eh7OD2s4G6p4/XY5TNouIJPLO9frUaIT6uCBpuPqFMNWBfjEgqaYMC4sFuPTHhMUGWf+5VjgSo9e9ursV55QjEAzxdq1qwV/2e32OwHQd2WnqbKDu+dPFFV+ZC7y8c20Nbv+2DEUB97v54ioMHtbvSa7QiD3zzDMAgGeffRY+PtaZroSgO4ZY11D1YDeH+C5ZtJ1WNca6kDKjRKb4rJO2bj783Uyf7cUYqFwTe+aZZzB06FCkpaVh+vTp8PS0fm8XgmlR9WDX9cGvzOBoOwoxZFJbQzp1EOcK+Zh6rVdXeAIhXJ2sM82ULCqN2PHjx1FSUoL8/Hx88803iIyMRHp6OhP8TCBYGrTBYffw4T3YUS8PKkOOaEyV1snSMUY5G3OF1yeC5+BBppZhFFTGiQHAqFGj8Oabb2L//v3w9PTEG2+8YWhdBIJcdCmcSUPHJwHQm1OKMqcFXTXr4tShq6OKJaOL05Elx7CxWIC9HQu8PpGppRgFlSOxrq4u/PLLL8jPz0dtbS1SU1Oxf/9+nXbK4XCwbt061NfXY8iQIfjiiy/kTlMuW7YMV69eRUJCAr799lud9kmQjzHjj/SBPpP2ljV0MCMxQ6KrZl0cLWx5FKdodKzOCM2Sp1kpCujmC+HkQJlailFQORKbPXs2ysrKsHLlShw7dgwbNmzAI488otNOc3JykJiYiOPHjyMxMRE5OTly27344ov4+OOPddqXObBu3x+IeCMf6/b9YWopA1Dmfm2O6OMNmR6dVLV0Mw8qXUd3yjDlW72+QxBo6HP4v+ouvfarTxSNjg0RFmJuONix0Ce0jZGYSiN24sQJvPXWWxg9erTednrixAlkZ2cDALKzs1FYWCi3XWJiIlxdLT9YL/fKPVD9/5sbhnrIGQp9xBptOVKGiuZubDlSBsDwDzVTxkeljwpWWgpGW+iXn39fYeu1X2NgyVOF6mJvxwJfYBtGTOF04ubNm7Fx40asWLFC7vd0lnttuH//PgICxJmVAwIC0NbWpnVfsvB4PFAUhbKyMr31qStTI1xxqqobUyNc5ericrkm0xsxCNieFgiAg7IyjlrbmFKvNkjq/V91F5r7sxn4OYvvk6QAIdhhLkgKEJr8uCzl3M6LdcW/eXw887CbReil4XK5cObUY1GMA8CpN8v6bZLQ90NsbKza2wiFQvB5XPAFsKhrowxlx6/QiNHehy+88IJWO12yZAlTZVmStWvXatWfujg5iWMjNLnohuZ7FVo0vUlNjaxec19Xk9S7+shp8ISAh7MDPpw3DrHBHogFkJ6kYFuJ9ZOqlm7mOCP8XdXyfNPUQ87c74UHxxON5WkeUnotwS3d3M+vLNrodXCwR4ivJypbuhASNhyeVlwQE1BixOh1r/HjxzMjJU2Cnnfs2KHwO19fXzQ3NyMgIADNzc0kmNrCMZTzgCEeirKVlFUh6ZTxW9V95jgfi/BVy1lDHXd+yeM0Brq8dChzUrF0t3RrgaIAdg8fvXwhOnkCqzdiCtfEKIrC9u3b8dhjjyEtLQ0zZszAhAkT8OWXX+q80+TkZOTm5gIAcnNzkZKSonOfBNNhqHU1Q6xV0WtEANRyPZdcP5E8TnXXVdRx599+shw/XqrF9pPl2h2UhujizKPsuPW91mTL4QG6wgJgG76JSkZiO3fuRHFxMQ4cOIDQ0FAAQG1tLd59913s2LEDS5Ys0Xqny5cvx9q1a3HgwAEEBwdj27ZtAIDS0lLs27cPmzdvBiBOeXXnzh309PRg0qRJ2Lx5MyZOnKj1fgmGwVC59swhgFjS1To22EOqrTqjDXnu/KaeftUmtZakZkXHrW+3dFsOD9AVCmJDZgsoNGK5ubn4/vvvpab6QkND8cknn+CFF17QyYh5e3tj586dAz6Pi4tDXNyDP4I9e/ZovQ+C5aPuQ1GbaUdtcyRqi1RdsX8VoZbdiy1HypA+Khirk6MexKsZwdFAm5cOUxgUY18ja4IvEMHJQa1cFhaPwqMUCARy16p8fHwgEAgMKopA0ARNpx3pUcW8hFCcr2xVKz5MH5lCaMJ8B4PV/z9gGSVKTBGKYajwAGuHztjh7+4EdyeV+SwsHoVHOGiQ4rxbyr4jEIyNJtOOOWcqseXITVAQF7AU9S8cqBrx6dNpYWPGSL05chjLI5CUZ7EcKAq438VHVKCb1Tt1AEqM2M2bNzFmzJgBn1MUBT6fb1BRBIImaLIW8+WpCma9YLi/K4K9XNQyJtqszykyMPpcO1JkXC3B3V1XbOEYtYXbJ4SbDYzCACVGzFqC5AgESVZNjcSXpyow3N8VNxo6UdnSjRAPZ5wub1HqaKGN4TGGy7ki42oL7u62cIzawhUI4WrrRoxAsEboystlDR2Y/+0FdHAF2HmxBn1CCp8V3lI7iFkRkqMDYxScVGRcbaHYpS0co7bw+kRwI/XECATrJTbYAx89NQqfFd7ClCh/ZiSm69u97PamGiGYWxb2nDOV+PJUBVZNjQQA5uflk4dr3ae5HaO5QFEUKAA+rta/HgYQI0YwYwy95iHprPB2/2cR/uKE09q+3dvq6EDSSMkzTF+eqkAHV4AvT1UAAPOzLkaMIB8BJfZWCvRwNrES42AbgQQEi8QUJTN0dXe3BHd5QyBrpGRZNTUSHs4OWDU1Uupngv4R9bvcujvbhhc5GYkRzBZbHdVYIrTDjCLDRK9FSv5OMAx02Ii7s2083slIjGC2xAZ7YNGEMOy6WKOXIGOSi89wLJ88HCXvziDGyQwQ2thIjBgxglmjzylFY1ex1meWD0Ogyqibu35dsOYXGno6cZCdbWRPJEaMYJas2/cHIt7IRwOnV2+Z0Y2dOskUa3qaoMqoa6vfEoyfsV9ojElfvxFzGmQbj3fbOEqCxZF75R4oAKdutViMo4Tsw1vfpUn0jSqjrq1+czfegGlyQRoLoUgERwc7OA8icWIEgsnIjg9B7pV7yO6vxaUPDJ2JXTZGzNzjmFTlQ9RWv6EdclS586uDNeeCFIgom0k5BRAjRjBTPn9mND5/ZrRe+zR0aQ/iTSnG0MZb0p2fOJIMRGhjRoxMJxJsBn2U9sg5U4lR7x5DzpnKAd+pihGzhLUiS4DEmSlHICRGjECwSvRhRFQF9SrDEtaKtMHYxpm48ytHKKIwzN/VJmqJAcSIEWwIfRgRXUYB5u7ooS3bT5bjx0u12H6y3NRSCBAbMR9XR5uoJQaQNTGCDaGPNSvZzBOaYO6OHrpAURRK69pR1tBhEZ6k1gwFwMvFNgKdATISIxAIOrI6OQoR/q6438W3uqlSS8WDGDECwfqw1jUpUxMb7IHtC8bgyTFDrG6q1FLxtCEjRqYTCWaBMUrNExd4w2HNU6WWiM9gYsQIBKNijFLz5EFLsBVcbST5L0CMGMFMIKMkAoGgDcSIEcwCMkoiEAjaQBw7CAQTYs0lQQimg6JMrcB4ECNGIKiJspRT2kInJX7v8HWkfnYa/6vu0lvfBNuls5dvaglGgxgxgs2h7ehHl5RTiqBLglAUUNHcjX9fYeutb4Lt0skTmFqC0TCJEeNwOFi6dCmmT5+OpUuXor29fUCbsrIyzJ8/HxkZGcjMzERBQYEJlBKsCdp4/S3vulYFERWlnNIldyCdlPivmQ8jMsAVi+O9Ne6DQJBFaEPziSYxYjk5OUhMTMTx48eRmJiInJycAW2cnZ2xdetW5Ofn45///Cc+/PBDdHSQ7N8E+ahjSOipOxYLWhVEVJR4Vh9B1LQxmxjupnUfBAKNUESMmEE5ceIEsrOzAQDZ2dkoLCwc0CYiIgLh4eEAgMDAQPj4+KCtrc2YMgkWhDqGhJ662zTrYZ1LskiiLLEvKb9CMAW2ZMRYFGX8cefYsWNRVFTE/D5u3DhcunRJYfuSkhK8/vrryM/Ph52dcrt75coVUBQFZ2dnvek1NFwul+jVkao2Hg7f6sCsaA9E+DhJfaeNXmX9acL2Cy04XdWFKRFuWJ3or7K9Olr1pU0fmOO9oAxL1RsbG6v2Nj/+chHtdp6YqL+i6CZH2fEbLE5syZIlaG1tHfD52rVrNeqnubkZGzZswNatW1UaMABwchL/UWty0U1NWVkZ0asjsQDSk+R/p43eXQdLcbamF97e3khP0v5YV3sNgbca6bTotFtJASykj1a+P31p0wVN9KrblyFTjjH7MsN7Vxna6nVwckJs7DADKDI/DGbEduzYofA7X19fNDc3IyAgAM3NzfDx8ZHbrqurCy+//DLWrl2L+Ph4AyklEAairwwi6gZx09Oh7DAXhcZY39p0QRO96vYFGC7lmK1hS9OJJsnYkZycjNzcXCxfvhy5ublISUkZ0IbP52PlypXIyspCWlqaCVQSbBljZxChDVJSgFBlW3PIbqKJXnX7UtcoF5Q04LPCW1ifGq23dU1rw5aMmEkcO5YvX47z589j+vTpOH/+PJYvXw4AKC0txcaNGwEAR44cQVFREQ4ePIisrCxkZWWhrKzMFHIJBINDGyZTr3Gpiz710n2pO5VIe5lqGiJBsE5MMhLz9vbGzp07B3weFxeHuDjxGyZtuAgEgmYYc43JFKxPjWZGYgT5qOE+YDWQBMAEggoszShY+xpT+qhgMo2oApHI1AqMhw3ZawJBjKY5EC2tIrSyuDVbwhC5Li0GFsvUCowGMWIEm0PTHIiWZhTUXWOy9gz6hsh1STA/iBEj2ByKciAqQlPHA0vB2h0kNL3OBMuErIkRbI7lk4cPyH+oTyxlDc3aHSQMfZ3NGSd725lOJEaMQNCQnDOV+PJUBVZNjZT7kLQUxwriIGG9uDkPMrUEo0GmE80MkjDW/JFca5G3rmRpa2gE68NrMDFiBBMh6wln7Yvv5o688y+51iJvXcla19AIloOni+0YMTKdaGbIpuCRfEiSqR/jUtbQgTf+W4IOrkDq/EuutQz1HmzV60oEy8SLGDGCqZDNi2fti+/mzK6LNeALRPBwdlB4/sm6EsHcYLGAAHfLSF+mD4gRM3PIQ9J0SI6KydQgwVJwsGPBy5UYMQLB5jGHbPEEgqY42NmOez1AHDsIBALBqrAnRoxAIBAIloq9LaWwBzFiBAKBYFXY29hT3cYOl0AgEKwbOxvKYA8QI0YgEAhWBVkTIxAIBILFQkZiBAKBQLBYbMyGESNGIBAI1oSN2TBixAgEAsG6sC0zRowYgUAgWBFkOpFAIBAIBAuBGDECgUAgWCzEiBEIBIIVQRIAEwgEAsFicXe2nYKYADFiBAKBYFXYmmOHSeqJcTgcrFu3DvX19RgyZAi++OILeHp6SrWpr6/H6tWrIRQKIRAIsGjRIixYsMAUcgkEAoFgpphkJJaTk4PExEQcP34ciYmJyMnJGdDG398f+/btw6FDh/DTTz/hH//4B5qamkyglkAgEAjmikmM2IkTJ5CdnQ0AyM7ORmFh4YA2jo6OcHR0BADw+XyIRCKjaiQQCASC+cOiKIoy9k7Hjh2LoqIi5vdx48bh0qVLA9o1NDRg+fLluHv3Ll577TUsXLhQZd9XrlwBRVFwdnbWq2ZDwuVyiV4DYkl6LUkrQPQaGlpvbGys2ttcuXIFTk5OBlRlfJQdv8HWxJYsWYLW1tYBn69du1btPoKDg5GXl4empiasXLkSM2bMgJ+fn9Jt6IunyUU3NWVlZUSvAbEkvZakFSB6DY02ep2cnCzqGHXFYEZsx44dCr/z9fVFc3MzAgIC0NzcDB8fH6V9BQYGIioqCkVFRZg5c6aelRIIBALBUjHJmlhycjJyc3MBALm5uUhJSRnQprGxEVwuFwDQ3t6O4uJiREREGFUngUAgEMwbk7jYL1++HGvXrsWBAwcQHByMbdu2AQBKS0uxb98+bN68GZWVlfjoo4/AYrFAURReeOEFREdHm0IugUAgEMwUkxgxb29v7Ny5c8DncXFxiIuLAwAkJSUhLy/P2NIIBAKBYEGQjB0EAoFAsFiIESMQCASCxUKMGIFAIBAsFpMEOxsSawz0IxAIto2DgwOioqLUalteXq52W2vA6owYgUAgEGwHMp1IIBAIBIuFGDECgUAgWCzEiBEIBALBYiFGjEAgEAgWCzFiBAKBQLBYiBEjEAgEgsViFUaMw+Fg6dKlmD59OpYuXYr29vYBberr6/HUU08hKysLGRkZ2Lt3rwmUilFHb1lZGebPn4+MjAxkZmaioKDABErFqKMXAJYtW4axY8fi5ZdfNrJC4OzZs5gxYwamTZuGnJycAd/z+XysXbsW06ZNw9y5c1FXV2d0jZKo0nvp0iU8+eSTGDlyJI4ePWoChdKo0vvDDz8gPT0dmZmZeP7551FfX28ClQ9QpXfv3r3IzMxEVlYWFixYgIqKChOofIAqvTRHjx5FdHQ0SktLjajOzKGsgK1bt1LffvstRVEU9e2331Iff/zxgDY8Ho/i8XgURVFUV1cXNXXqVKqxsdGoOmnU0Xvnzh2qqqqKoiiKamxspJKSkqj29nZjymRQRy9FUdSvv/5KnTjsORaiAAAOPklEQVRxglq+fLkx5VECgYBKSUmh7t69S/F4PCozM5MqLy+XarNr1y7qnXfeoSiKog4fPky98sorRtUoiTp6a2trqbKyMmrDhg3UkSNHTKRUjDp6L1y4QPX09FAURVG7d+82+/Pb2dnJ/FxYWEi98MILxpbJoI5eihJrfvbZZ6m5c+dSJSUlJlBqnljFSOzEiRPIzs4GAGRnZ6OwsHBAG0dHRzg6OgIQv5WLRCKjapREHb0REREIDw8HIC4K6uPjg7a2NmPKZFBHLwAkJibC1dXVmNIAACUlJQgLC0NoaCgcHR2RkZGBEydOSLU5efIknnzySQDAjBkzcOHCBVAmivNXR+/QoUMRExMDOzvT/4mqo3fChAlwcXEBAMTHx6OxsdEUUgGop9fNzY35ube3FywWy9gyGdTRCwDbtm3Diy++SDISyWD6vxA9cP/+fQQEBAAAAgICFD7sGxoakJmZiSlTpuCll15CYGCgMWUyqKuXpqSkBH19fXjooYeMIW8Amuo1Nk1NTQgKCmJ+DwwMRFNT04A2wcHBAMQpfNzd3cFms42qU1KLKr3mhKZ6Dxw4gEmTJhlDmlzU1bt7926kpqbik08+wdtvv21MiVKoo/fGjRtobGzE1KlTjS3P7DFJPTFtWLJkCVpbWwd8vnbtWrX7CA4ORl5eHpqamrBy5UrMmDEDfn5++pTJoA+9ANDc3IwNGzZg69atBn0r15deUyBvRCX7Zq1OG2NhTlrUQRO9hw4dwrVr17Br1y5Dy1KIunoXLlyIhQsXIi8vD19//TW2bt1qDHkDUKVXJBJhy5Yt2LJlizFlWQwWY8R27Nih8DtfX180NzcjICAAzc3N8PHxUdpXYGAgoqKiUFRUhJkzZ+pZqRh96O3q6sLLL7+MtWvXIj4+3iA6afR5fo1NUFCQ1PRVU1MTM3KUbNPQ0ICgoCAIBAJ0dnbCy8vL2FIZLar0mhPq6v3111/xzTffYNeuXczUvSnQ9PxmZGTg3XffNYIy+ajS293djdu3b+O5554DALS0tGDFihX4+uuvmSLCtoxVTCcmJycjNzcXAJCbm4uUlJQBbRobG8HlcgEA7e3tKC4uRkREhFF10qijl8/nY+XKlcjKykJaWpqxJUqhjl5TEhcXh+rqatTW1oLP5yM/Px/JyclSbZKTk3Hw4EEAwLFjxzBhwgSTjX7U0WtOqKP3xo0b2LRpE77++mv4+vqaSKkYdfRWV1czP58+fRphYWFGVvkAVXrd3d3x22+/4eTJkzh58iTi4+OJAZPEhE4leqOtrY167rnnqGnTplHPPfccxWazKYqiqJKSEuqtt96iKIqizp07R82aNYvKzMykZs2aRe3bt8+s9ebm5lIjR46kZs+ezfy7ceOG2eqlKIpasGAB9dhjj1FxcXHUxIkTqbNnzxpN4+nTp6np06dTKSkp1FdffUVRFEV98cUXVGFhIUVRFMXlcqnVq1dTqamp1Jw5c6i7d+8aTZs8VOm9evUqNXHiROrRRx+lxo8fT6Wnp5tSrkq9zz//PJWYmMjcqy+//LIp5arU+/7771Pp6enU7NmzqUWLFlG3b982pVyVeiVZtGgR8U6UgJRiIRAIBILFYhXTiQQCgUCwTYgRIxAIBILFQowYgUAgECwWYsQIBAKBYLEQI0YgEAgEi4UYMYIUsbGxTKb/2bNn44cffmDyTJaWluKDDz5Quv3evXuZmDJJ6urqMGvWLL1o/O233xRmyi8pKcHixYsxffp0PPnkk1i+fDlu3bqll/3SlJWV4cyZM8zv27dvx3fffadyu2XLlmH27NnIyMjApk2bIBQK8eOPP0plRenq6kJqaipqa2vl9jF79mysX79e94NQAH39Z82ahTVr1qC3t5f57pdffkF0dDQqKyuZz0QiET744APMmjULmZmZmDNnDmprazF37lxkZWVhypQpmDBhArKyspCVlWXy6gEE68NiMnYQjIOzszMOHToEQJwz8dVXX0VnZyfWrFmDuLg4lQGWCxYsMIZMubS2tmLt2rX49NNPMWbMGABAUVERamtrER0dLdVWIBDAwUG727+srAzXrl3D5MmTNdpu27ZtcHNzA0VRWLNmDY4ePYp58+bh4MGD+PXXX/H4449j27ZtmDNnDkJDQwdsX1lZCYqicOnSJfT09GDw4MFa6VeG5PV/9dVXsW/fPixduhQAcPjwYSQkJKCgoACrV68GABQUFKC5uRk///wz7Ozs0NjYCBcXF+zfvx8A8N///hfXrl3Dpk2b9K6VQADISIygBF9fX7z//vvYvXs3KIpiRkAikQjJycno6Ohg2k6bNg2tra1So5Jr165h9uzZmD9/Pnbv3s20FQqF2Lp1K+bMmYPMzEzs27cPgHiEtXjxYqxZswYzZ87Eq6++yuSVO3v2LGbOnIkFCxbgl19+kat3165dyM7OZgwYAIwdOxapqakAgDfeeANbtmzB4sWL8emnn4LD4eDPf/4zMjMzMW/ePNy8eRMAkJmZiY6ODlAUhccee4wZWW7YsAHnzp3D3//+dxQUFCArK4up81ZRUYHFixcjJSUF//rXv+TqozOnCwQC9PX1gcVigcVi4d1338WHH36I0tJSXLx4EcuWLZO7fV5eHmbPno0nnngCJ0+eBCA2bE8//TTTpq6uDpmZmQCAM2fOMOfsgw8+0LjO29ixY1FTUwNAnPqouLgYmzdvRn5+PtOmpaUF/v7+TF7PoKAgeHp6arQfAkEXiBEjKCU0NBQikQj3799nPrOzs0NycjJjTK5evYohQ4YMSKb85ptv4u2338aPP/4o9fmBAwfg7u6O//znP/jPf/6Dn376iZk+u3HjBt566y0UFBSgrq4Oly9fBo/HwzvvvINvvvkGe/bsQUtLi1ytFRUVGDlypNLjqa6uxo4dO/DGG29g+/btGDlyJPLy8rBu3Tq8/vrrAIDRo0ejuLgY5eXlGDp0KIqKipjjHD16NNasWYP09HQcOnQI6enpAICqqip899132L9/P/7v//4PfX19cve/bNkyPP7443B1dcWMGTMAADExMXjiiSewZMkSbNy4UWHewSNHjiA9PR0ZGRk4fPgwAGD48OHo6+tjzl9BQQHS0tLA4/GwadMm/OMf/8DevXs1rjwgEAhw9uxZjBgxAgBQWFiIiRMnIiIiAl5eXrh+/ToAIC0tDadOnUJWVhY++ugj3LhxQ6P9EAi6QowYQSXykrqkp6czo5D8/HzmYU7T2dmJzs5OjB8/HgCQlZXFfHf+/HkcOnQIWVlZmDt3LjgcDvPGP2rUKAQFBcHOzg4xMTGor6/HnTt3MHToUISHh4PFYmH27Nlq6Z47dy7S0tKk1vFmzpwJe3t7AMDly5cZXYmJieBwOOjs7MTYsWNx6dIlXLp0CQsWLMDt27fR1NQET09PhfXSJk+eDEdHR/j4+MDHx0fK6Evy3Xff4dy5c+Dz+bh48SLz+cKFCxEYGIgJEybI3a6kpATe3t4YMmQIEhMTcePGDabCdlpaGo4cOQLggaG7c+cOQkNDmWnJjIwMtc4Zl8tFVlYW5syZg5CQEGaUl5+fz/SRnp7OGNGgoCAcPXoU69evB4vFwpIlS3DhwgW19kUg6AOyJkZQSm1tLezt7eHr6yu1oD969GjcvXsXbW1tKCwsxIoVK6S2oyhKYYJdiqLw9ttvY+LEiVKf//bbb1KjEHt7ewiFQgDqlSqJjIzEjRs3mOnD/fv34+jRozh9+jTThi7cSOuQhcViYdy4cdizZw8aGhqwbt06FBYW4ujRoxg7dqzCfcvqFggECts6OTkhOTkZJ06cQFJSErNfZaV28vPzUVVVxSSG7erqwvHjxzF37lykp6fjlVdewbRp08BisRAeHq71iEhyTYyGzWbj4sWLKC8vB4vFglAoBIvFwmuvvQYWiwVHR0dMnjwZkydPhp+fHwoLC5GYmKjV/gkETSEjMYJC2tra8Ne//hULFy4cYERYLBZSU1OxZcsWDB8+HN7e3lLfe3h4wM3NjZmKy8vLY7574oknsHfvXmbKraqqCj09PQp1DBs2DHV1dbh79y4ASK3JSLJw4UIcPHgQxcXFzGd05QJ5jBs3Dj///DMAsQH19vaGm5sbgoODwWazUV1djdDQUIwZMwbff/89EhISAACurq7o7u5W2K88uru70dzcDEA8VXfmzBkMGzZMrW1FIhGOHj2Kn3/+mclk/tVXXzGjoYceegh2dnb46quvmIoHw4YNQ21tLeMNSI+ateHYsWPIzs7GqVOncPLkSZw5cwZDhw7F5cuXcf36daaAo0gkwq1btxASEqL1vggETSEjMYIU9HSSQCCAvb09srKyGO80WdLT0/H000/jo48+kvv9li1b8NZbb8HFxQVPPPEE8/ncuXNRX1+Pp556ChRFwdvbG1999ZVCTU5OTnjvvfewfPlyeHt7IyEhAeXl5QPa+fv74/PPP8enn36KpqYm+Pr6wsvLCytXrpTb76pVq/Dmm28iMzMTLi4uUscxatQoJrRg7Nix+Oyzzxgj9thjjyEnJwdZWVlqO0v09vZixYoV4PP5EIlEmDBhAp555hm1tr106RICAwOlKpGPGzcOf/nLX5g6b+np6fj444+ZsvbOzs7461//ihdffBHe3t4YNWoUs21paSn27duHzZs3q7X//Px8vPTSS1KfTZ8+HXl5eUhJScE777wDPp8PQFxWZNGiRWr1SyDoA5LFnkCwUrq7u+Hq6gqKovC3v/0N4eHhWLJkiallEQh6hYzECAQrZf/+/Th48CD6+voQGxuL+fPnm1oSgaB3yEiMQCAQCBYLcewgEAgEgsVCjBiBQCAQLBZixAgEAoFgsRAjRiAQCASLhRgxAoFAIFgs/w8Yk5ip443dYAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=DIVIDEND_GROWTH_3Y_PAST,\n",
    "                 y=DIVIDEND_GROWTH_3Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Assets Growth YOY\n",
    "\n",
    "Let us now consider if the Year-Over-Year (YOY) Assets Growth can predict the FUTURE 1-year Dividend Growth. This does not work very well, as the fitted line only has $R^2 = 0.03$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.19 * x + 0.09 (R^2=0.03, p=4e-90)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=ASSETS_GROWTH_YOY,\n",
    "                 y=DIVIDEND_GROWTH_1Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also try and see if the YOY Assets Growth can predict the FUTURE 3-year average Dividend Growth. Although there is a positive correlation, once again we get a very low $R^2$ near zero."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.15 * x + 0.09 (R^2=0.03, p=4e-62)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=ASSETS_GROWTH_YOY,\n",
    "                 y=DIVIDEND_GROWTH_3Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, if we zoom in on the part of the plot where the YOY Assets Growth is greater than 0.2 (or 20%), we see that most FUTURE 1-year average Dividend Growths are greater than zero. This might be useful knowledge."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = -0.04 * x + 0.15 (R^2=0.00, p=3e-01)\n"
     ]
    },
    {
     "data": {
      "image/png": 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kZKA4WwipiI9MAQdZAh6yBBxkCbnIFHCRyeeCy3H03/E4LHAu9u05/js+Zyq42C9qt/2iiLPAQu1F75SIHCRiAJQjetz46mdel0lFPMgu1tOrL8tBbbEEM0skqCvNphRngkhQuBw2soUczJFLUSadOHidGfLQM6xH77DBTeR6h/VoVY1izGDBmNGCcZPFKUjh8m8rqvFvK6ZHZmcEAIBlt0fq9iQGZ86cgcViCbwiQRBEksDlclFdTcUSvJFyIkYQBEGkDxQPIwiCIJIWEjGCIAgiaSERIwiCIJIWEjGCIAgiaSERIwiCIJIWEjGCIAgiaSERIwiCIJIWEjGCIAgiaUk5ETtz5ozf5R0dHbExJEzIzsiRDDYCZGekSVc7A7WBqUbKiVigklN6vT5GloQH2Rk5ksFGgOyMNOlqZ7qV3Us5ESMIgiDSBxIxgiAIImkhESMIgiCSFhIxgiAIImkhESMIgiCSFhIxgiAIImkhESMIgiCSFhIxgiAIImkhESMIgiCSFhIxgiAIImkhESMIgiCSFhIxgiAIImkhESMIgkghdCYqAEwQBEEkKUaLLd4mxBQSMYIgCCJpIREjCIJIJezxNiC2kIgRBEGkEGmmYSRiBEEQRPISVxFramrCDTfcgOuuuw5vvPHGhOW9vb24//77ccstt+Cmm27Cvn374mAlQRBE8mBPM1eMG68DW61WvPDCC9i0aRNkMhnuuOMOLFu2DFVVVc51Xn/9daxcuRL33nsvzp49i0ceeQR79+6Nl8kEQRBJQHqpWNw8sebmZsjlcpSXl4PP52P16tXYs2eP2zosFgtjY2MAgNHRURQWFsbDVIIgiKQhvSQsjp6YSqVCUVGR871MJkNzc7PbOo899hgefPBBNDY2Qq/XY9OmTQH3azQaoVAofC43GAx+lycKZGfkSAYbAbIz0qSSnbW1tUHvz2KxJsV5h4K/84+biNm9BG5ZLJbb+507d+LWW2/Fd7/7XRw7dgxPPfUUduzYATbbtwMpEAj8nrBCoQjpCxEvyM7IkQw2AmRnpElXO7kcTlKcd6SIWzixqKgIfX19zvcqlWpCuHDLli1YuXIlAOCKK66A0WiERqOJqZ0EQRDJRLqFE+MmYnV1dejo6EBXVxdMJhN27tyJZcuWua1TXFyMAwcOAADOnTsHo9GI3NzceJhLEASRFHiLcqUycQsncrlcPP/883jooYdgtVpx++23o7q6Gq+99hpmzZqF5cuX4+mnn8Zzzz2Ht956CywWC6+88sqEkCNBEARxCVt6aVj8RAwAlixZgiVLlrh9tn79eufrqqoq/OUvf4m1WQRBEEmLLc08MarYQRAEkUKQiBEEQRBJS7qFE0nECIIgUghbmqkYiRhBEEQKQeFEgiAIImlJM0eMRIwgCCKVsJInRhDhoVBq8ezWFiiU2nibQhBpB/WJEUSYNB7sxLbjvWg82BlvUwgi7bDZ7RjRmeJtRswgEUtQ2oeMSevNrG2Q4+bZJVjbII+3KQSRdthsgNZgjrcZMSOuFTsI3+xo1aKpUw8AeOnWujhbExq1xZKks5kgUgU7AKPFFm8zYgaJWIKypkYCqVRK3gxBECGjN1njbULMIBFLUCpyBVi1MH3mBCIIInLo0kjEqE8swaFMPyIRoe9lYqMzk4gRCULjwU68f7QH6949il3Nyqg1HNQoEaFAGaiJjc5kibcJMYPCiQnO2gY5DrUPoldjwIbdregbMQKIfLIH0yhFY99E6sH01VKfbWJiSiNPjEQswaktlmDjPXPQeLATCyvzsf+cOioNBzVKRChQBmpiM2okESMSCNcGY1V9cdDbKZRaNB7sxNoGOWqLJUEfg4gvodw3gvBGOmUnUp9YCkP9FskJ3TciXPQUTiRSAQoRJiepcN/Im4wv6ZTYQZ5YEhJsJiETIqRGJLlIhftG3mT8YLHSK5xInlgSQpmERKKTCt5kssJmpddgZxKxBESh1GLjgQGsyyn1+jRODQSR6FCiUPxgs1gwW9NnOhYKJyYgjQc78Wn7mM9QTCqEmwiCiA4cNgtma/oUACYRS0DWNsixtCIrZp4WVesgiNSBzWJhPI3CiSRiCUhtsQTrriqImadFnfAEkTqw2YDOmD7ZidQnRlAfG0GkEGwWC2MkYkQ6QZ3wBJE6cFistMpOpHAiETOo740gog+LBWgNZozoTPE2JSaQiBERwVOgvAkW9b0RRCxgYdxowWiahBRJxAgA4XtJngLlTbDWNshx8+yShO17I0+RSAU4LMBstcNiS480e+oTSwEiUacu3Cognskh3pJFEr3vjSqhEKkAi8UCABjMJGJEnAhUscOTYBrfQEIXboaip0AlumB5g7I0iVSAzXaIWLqk2VM4MQEJVLHDk2DCdI0HO7H1aA/WvXvUa7jMVxWQdAqxUSUUIhW4qGFpk6FIIpaAhFqxI5jGd22DHCVSIXo0hpASKygZgyCSCxYcKma2pUf9RAonJiDRqNhRWyzBxnvmOEOKwUIhNiJW0BxkkeFilxg4rPQQMfLEUoRgwn6TCZe59m2lS1iRiA/k9UcWS3rkdcRXxJqamnDDDTfguuuuwxtvvOF1nV27dmHVqlVYvXo1/v3f/z3GFiYP4TYAgUSQGhgi2iT6EIxkI02iifELJ1qtVrzwwgvYtGkTZDIZ7rjjDixbtgxVVVXOdTo6OvDGG2/g3XffRXZ2NgYHB+NlbsLgK+QSbtgvUIZjsPunkBAxWZIxozWhsaeHisXNE2tuboZcLkd5eTn4fD5Wr16NPXv2uK3zt7/9Dffddx+ys7MBAHl5efEwNaHw5RGFm1kX6Ck42P2nqseWTlmaRGqQHhIWR09MpVKhqKjI+V4mk6G5udltnY6ODgDA3XffDZvNhsceewyLFy+OpZkJR7QSLSL1FBwN+xLBu6OB0ESycDGvA7Y08cTiJmJ2LxeYGWnOYLVa0dnZibfffht9fX247777sGPHDkgkvhsyo9EIhULhc7nBYPC7PFHwZ+faGVxguAeK4Z4YWzURb3ZG2r6NBwbwafsYNBoN1l1VEBEbQ2VhoRUaeQYWFlqj9v1Jhe9mIpFKdtbW1ga9P9vFclMjwyNQKIbDsi1R8Hf+cROxoqIi9PX1Od+rVCoUFha6rSOTyTB79mzweDyUl5ejoqICHR0dqK+v97lfgUDg94QVCkVIX4h4EUs7w/F0YmHnupxSSMPwxCJhYy2AVQvD2kVAku27mQgesj+S7XpGCjbH0UtUlJ+L2prCAGsnP3HrE6urq0NHRwe6urpgMpmwc+dOLFu2zG2dFStW4NChQwCAoaEhdHR0oLy8PB7mJjXJnnlIlTQSk0T/3qQ7IkF6DAOO21lyuVw8//zzeOihh2C1WnH77bejuroar732GmbNmoXly5dj0aJF2L9/P1atWgUOh4OnnnoKUqk0XibHjXCfeCOVeejNHiJ9oYHwiU169IjFuWLHkiVLsGTJErfP1q9f73zNYrHwzDPP4Jlnnom1aQlFpCvMexJqUoerPWtnBPcVSvTQExE6lBKfmDCZBWZreox2Tg9/M8mJdIX5iNoTZPIGZfcRRGxgEuSMNBULkSgk2hOvqz3BZiBS6CmxIU85dWCq2OvN6VHFnkSMiAmJJsSEO+Qppw7si56YPk2mYiERIwiCPOUU4tJ8YjQpJkEQaUKiDmOgcl+hw2azwGYBA2OmeJsSE0jECMIDajgTBxqLFjossCDN5KNvRB9vU2ICiRgRFZJZCOLRcCqUWmw8MJCU1yua0PQsk6NQLECf1hhvM2ICiRgRFZL5CToeDWfjwU582j6WlNcrmiRqmDPRyc8SkCdGxJf2IWPUPJlYeEmREoJ4eHTxaDjXNsixtCKLPA4iIhSKBegbMcTbjJhAIpag7GjVhuTJeDb2/hr/WHhJkRKCZPboQqG2WIJ1VxWQx0GEDYsF5GbyoTVYoBxOfW+MUuwTlDU1Ekil0qCfzD3H+fgb9xPtdOpIDpyl1G+CCA27HRjWmQEA7YPjKM7JiLNF0YU8sQREodRiR6s2oAi4elue4Tt/4bxIeUm+khEi6T0Fa2uyJZIkm71EciHJ4AEABkZTP7mDRCwBCbaT359YxKJfx5ed8UqMSKawY7LZSyQX2RdFrD8NRIzCiQnI2gY5NBpNQBFw9briUTbIl53xKDGVbGHHZLOXSC7EQkfTPjhGIkbEgWA7+V3FItaNItPvtaZGEpS3F+0Cs8lWmzHZ7CWSCwGXAwGXjcE0qNrhM5z4xz/+0fn6ww8/dFu2YcOG6FlETIpww4eh9tEwnt+O1tDWn2y2ZTqRzudORA6xkAt1GnhiPkVs165dztdvvPGG27LPPvssehYRYbOrWYkVGz7FrmZl0Nv4EhlfDSrT77WmJjjRDLWfjLFn494zadegU38ZEQ4sFnDFlBwUZ2dAPWbEiC61vTGf4US73e71tbf3RHzxDNVt2N2Ks/3j2LC7Favqi4Pah69wpK++NsbzUygUQe0/1PAZY4dGZ0q7KUKov4wIB7sdOHZhGCwW0K0xYNRoQbaIH2+zooZPEWNmB/V87e09ER8Y8dLoTGhqUwNwNPRPrKjBht2teGJFTdD78iUykWpQQ+0Tc4qkUgupiJ9WDTr1lxGRQCzgYtRgTnmnw6eInT59GnPmzIHdbofRaMScOXMAOLwwkym13dNkgfGSFk/PdwvVraov9uuBhSIokWpQJ5s9SQ06QUwOsZAHs9WO8RSfHNOniAUbJiJiDyNCCyvzASBo78aX5xYLkj1EFu3sSoKINOmSZh/yYGetVovXX389GrYQLvgrALxx7xn89XAXdrT0hpSR6OoNxXowcrJXI6dkCyLZEAsdA55TPc3ep4gplUr85Cc/wb/8y7/gvffeg16vxyuvvILrr78eg4ODsbQxLQm2AHCw6dgKpRYanQmLp+dj3bJqpwcWSuZfLFO/Ey3NnOa1IpINpyc2ntoi5jOc+NRTT2HBggW4/vrr8dlnn+HOO+9EdXU1PvjgAxQUFMTSxrTEXwHgdcuqnckOG/eewccnVdDoTPj9fXN97q/xYCea2tS4eXaJ0xtivAuNzuTcnz9PKZZVQeJRgcQf1DdHJAtMiv2owYzX9pzBmMESb5Oiik8RGxkZwbp16wAAixYtwtVXX42///3v4PNTN1UzkajIFWDVwlq3z1z7ZUJtUL31SYWaxh7Lfq1k70MjgoP6GiMPk2Jvt9vB57AxakxTEQMcQsakZ+bn50Ov10On0wEAcnJyom8d4YY378TVK/OHN08i1DT2WHoj5PmkB4nmcacSLBYLeVl89GtTe3JMnyI2NjaG2267zW2Mwa233grAcXH27NkTfesIN7x5J94a+8mOySKCg7yHyBFJj5vuy0QKxAL0DqepiO3duzeWdhBB4Ck2vn609HQ7OYJtBOn6Ro5IPkDRfZlIuVSELzuG4m1GVPEpYidPnnR7z2KxIJVKUVwcXBkjIvr4+tEyT7ULK/Px7NaWpHwyjcdTdbCJLtRfl5jQfZlIeW4GdrYYMWowO1PuUw2fIvbKK69M+GxkZARmsxkbNmxAbW2tl62ISMDMmLwup9RvA+5LrJin22e3tiTtk2m85kcDAie6UPg1MaH7MpHyXBEAoEOtQ11ZdpytiQ4+Reztt9/2+nlLSwtefPFFvPPOO1EzKt1hZkyWHuz0+6P0JlbMBJlrG+QhP5lGyvuJxH7i8VSdzvUaQ4X6nxIXJsUeAPpG9ACAw51DmJKbkZKFgEOeFLOurs6ZoUhEB88ZkwM1GP5mePYngp77jZT3E4n9xPOpmp7oA0P9T4kLk2IPABarDSwAn59R4/rLZCRiAKBWq6mKfZRxndlZodRi3btH0atxZBgFCm+F4sF4NkSu24bzpJ3MfRPkYQRHMt/jdILLYSNHxEvpyTF9itgvfvGLCWI1PDyMY8eO4dlnn426YemMQqnFS5/2QXLU4fH2aAwolQoj3mB4NkSuYhhOf1oyezKheBjBCF6qimIy3+N0Iy9LkNL1E32K2KxZs9zes1gs5OTk4JlnnkFeXl7UDUtnGg924sAFHVgsPa6fKcNtc0qDbgRDaYT9NUTReNJOhgY9HE92sutMlmS4nkT8yc3ko0UzEm8zooZPETt06JDXDNUH4u0AACAASURBVEUi+qxtkKOzTw2JRIJ1y6qdDZRCqcXGvWcAwO1zz21d/ycSng16IjbCoXgYaxvk0OhM0OhM2NWsxP5z6gnnEs37Ec9+qUS8d4R38jL50JutGDWY421KVPApYq2trbG0g3ChtliCZ5cWTRjG0HiwEx+fVAEApCJ+VNO/Ix1WAyY26MmeHFBbLIFUxMe2471oU42ib8TR7+B6LtEMuwUzHjBaYpPs9y6Vcc1OBACdyYIPT/RBNWJAbXHqpdn7FDG9Xo9Tp075nNp65syZYR+8qakJL730Emw2G775zW/ikUce8breRx99hPXr12PLli2oq0vfHwzz5M+8jvaxgj2Oa4PmmuLv2Wh6NujBHCPRn/hdhYTxxGJFMOMBoyU2qTCgPlVxzU4EgBG9wwPr0ujjZVJU8SliKpUKr7zyilcRY7FY2Lx5c1gHtlqteOGFF7Bp0ybIZDLccccdWLZsGaqqqtzWGxsbw9tvv43LL788rOOlArXFEr/TrUT6WKGE1Zj/nlUvXBt3JtvSVZQCHWOyjbDrcaKJ6zmsqo9PNRt/DwPRCmemwoD6dIGp1DGUovOK+RQxuVwetlD5o7m5GXK5HOXl5QCA1atXY8+ePRNE7LXXXsNDDz2EP//5z1GzJZXx14/ma1kk0uuZqheH2gfdwmyhitJkG2E373BGyCNJkgp/DwPhhjNDGaNIJCYiPgcspKGIRRuVSoWioiLne5lMhubmZrd1Tp06hb6+Plx77bVBi5jRaIRCofC53GAw+F2eKETKzo0HBvDPM6OON8ZxrLuqwOsypXoYap0V98+W4rhSj0/bx6DRaNzW92XnHz887rb+2hlctA9ZAWMGZhdn4LiSjYWFVigUCiwstEIjz3C+D4a1M7jAcA8Uwz1Bn7frcQwGS1rd80iy8cDAhO+Cp52TuT/eaB8yYkerFmtqJKjIFYS1LyAxr6c3grEzlDJ/VqsVyj6l22cZPBaUQ6NJcT284e/8fYrYk08+GRVjGHyFKRlsNhtefvllvPzyyyHtVyAQ+D1hhUKRFHUfGTvD7RNal1MKCLx7Yq7LWnpG0DVixt8U49h4zxxIgzymQqHAupWVE9avBbBqoZcNlFpI+ztRMS26fSjM8RVKLTZ+eBzrVlZG7HjR6qfz/G4mQn/gupzSCfc2Wr+hxq0taOrUQyqVTpgQdjIk2289UnA4HBQXuYe2JRlj0FnZSXE9QiXoAsBMFfsrr7wSDz74IASC8J6UioqK0NfX53yvUqlQWFjofD8+Po62tjZ861vfAgAMDAzg0Ucfxeuvv55WyR3hdsy79qMplNoJhYKZZbualdiwuxVPrKgJOQQVyvqxzmoLtg5lMDCiotGZ0NSmBhDdc0iEDMBYDmqm0GT0yBJy0y+c+Ic//GHCZyMjI9i6dSt+8Ytf4MUXXwzrwHV1dejo6EBXVxdkMhl27tyJ3/zmN87lYrEYhw4dcr6///778dRTT6WVgAHh/7Bdn+b9NYqr6otjkpgQ6YYqmD4b1zqU4cBcv8XT83Hz7JKEyhBNBagKSGTwTLEHALlCBEWfNk4WRRefIlZaWur1s8suuwy33HJL+AfmcvH888/joYcegtVqxe23347q6mq89tprmDVrFpYvXx72MYiJ6e+u/+NBJBsqpq5kT4C6kkwdylD26yqMzPuFlfkAELPwHjXqE0mEEGui45liDwCFEgE+P2uC3W5Pudq3k0rssNlsETn4kiVLsGTJErfP1q9f73VdX1PDpDrevKdQfsiuwpVqjWLjwU50D+nB57KdAhOp/bpe81iG9aiR9k8ihFiTkQKxAEaLDRqdGbmZqVXJPuiZnQFAq9Vi+/btmD9/flSNIi7hzXsKdgZiILWf5tc2yHGofRC9GgP2n1NHLBzqec3D8WBDFaVQG+l0E71EiCYkI4ViRw6DckSfPiLmLbEjJycHV155Je68886oG0Y48CZC3mYg9lYpI9UbuNpiCTbeM8cZ6pts5QjP6+R5zcN5EIj2uLh080xS+aEsmhSKhQCAvhEDZpakVumpkGd2JuKDt0oXrjMQe2vMIlHtItHFL9TKEZ6VPDyzDf2VzZoMoYpSqI00eSZEMDCeWO9w6pWeYvta8PTTTztfb926NSbGEL5hBKnxYKfzM6bBqy2WYG2DfELGnLfPmDR7hdJ3ppK3Y0WKYI4/Gbydqzdcz81V5JltI33urvcoGkR7/0RqkJfFRyafg3MD4/E2JeL49MROnz7tfL1582bceuutMTGIcMdbZpw3vD3Be/ts494z+PikChqdyWcdxkg93Xvz6II5/mQI1oPxdm6u9iWzZ5NMHjQRPbyl2FttdkzJE+FUb+ql2fsUsVRLw0xWwunzmEyj5m+bQPvzDNWte/coev2kv8cDT7ELRviThXTqHyPB9o23FHsAEPG4ODcwFgeLootPEevr68OLL74Iu93ufO3Kc889F3XjCHfPIBQRqS2WTPB6djUr0dIzgoZpeVi3rNrr8fw1hIEaSdflANCjMaBUKnTzatbUlaBNNYo1dSUhXgkiEMnsRYZKOgl2pCiUCHDkggbDOhNyRKmToehTxJ566inn61mzZsXEGGIirp6Bt+QFz4oc7x/twaH2QWy8Z86EfW3Y3YquIT0EXLbPp1d/ohmokQwUqgOA/efU6BsxRjQlPtlxhowLrQinsl0ye5Ghkk6CHSlkEkeG4qleLa6uity4ynjjU8SoDyzx8DYRoWdFjkPtg+ge0mPdu0fxxIoaZ/YiADyxosZZH9EX/kQzUCPpK1TnOuUL44HFs/FJtFCUc9yfPMN70WRiAukk2JGiTJoBADjePZweIkYkHt7SyT0rcmy8Z46zFNP+c2q3H3qo9RGDfdr1JQquBXM/PqkCAEhF/Lg3PokWinI+nBRa42wJkcqI+FyUSTNw3Et/WTLjM8WeSAy8paS7ppN7plgzQnbbnNKgU+t9LQs2fdtXWrqrWFw/U4brZ8pCTvcPlWD2GWw6fqxgrnMk5tAKh2gNfyASh8uKJfi6O7VEzKcndvz4ccyePTuWthBe8OY1BBvWYxqlhZX52LC71WemYLieiS+PzdNL9HVuwZTPCpZgziVWoahEC1sGItE8VGJyeEuxZ+gb0ePjUyq0KrWoSYLvZDD4FLGf/exnqK+vxw9/+ENIJKlxsslIKB3Yrn1P65ZVOxulQ+2DzoQOz0K5CqUWGp0Ji6fnh+yZKJRabDwwgHUrS71WuggkFt7KZ4XbeHrrN4wXySYKlCyRGvhKsQcA28W5iJvOqlNfxN5//31s3rwZ3/zmN/Hoo49GZPoVInz8Pd03HuzExydVsNvtaFONOhM4XD2xHS292H9OjYWV+dh/Tu0suXTz7JKQpytZ9+5RdA+NQ3oxjDjZwrUA3BJQwsFrv+GM2HT9hprNmWhQskTqU5QthIjPwdFODbAo3tZEBp+/bjabjQceeADXXHMN7rrrLvz85z8Hi8Vyzkdz9OjRWNqZtng+zfureLG2QQ6NzoSWnhFnZXemUaooyHQmWTDeWd+IcdITPG7cewbtah0KRJwJKfWB8DYPWKQbTzcBGe6J6L594XmvAolCsoUbieSHzWJhWkEWjnRqUmZuMb+PqO+99x7++Mc/4vHHH8d9992XEiecbHiGx7R6s891a4sl+P19cyd4Ocwy16LB8lwR/nakC2vqSiY9XosFoCpP4GyAXfvhPCeUdG2oJzsPWCiNvquAKGIkYlSBnkgGKgsycaJnBO3qcUwryIq3OWHjMzvx7rvvxsGDB/HOO+9g7dq1JGAxpn3IiGe3tgBwNHD7z6mx7XgvJBk83DW/HGvqSvxmkml0Jmzce8ZnxmHnkM456HgyrFtWjbvml+Peeqnb556Zit4yFxdW5oPPZcNosYV0/GgWJmYIJ0Mv1GK8iZYlSaQH1YViAMDe0/1xtiQycH72s5/9zNuC4uJiPPTQQ8jMzIyxSeGhVqtRUFAw6eWJwm93t+HjVg1MFhuW18pgNNvQ0juMb19Vge8trcRbX3Rg2/Fe53JXXt3dhu3He3FuYBw2u33CcgAoycmASmuAwWzFtIIsqMeMeHV3G0pyMlAgDpzqXSAWYHmtDJZxDdQWgXPb+rIcmCw2rG2Qo0AsQElOhtt7AHjriw6c6tWiLDcDT6+sRYFYAIVSG/D43vYVCIVSi42fnMe0ImlQ27y6u83ndfXcbyjXyxvMNWS2T5bvZqzsDPcap+v17B8YQGmxDMXZQq9/0woycbhjCGdUY7j3yuR/gPIZTly40HfpgN/97nd47LHHomIQ4WB2cQbahm3OcJtnuSbP0JVnVQyNzuS23BPGW3AdhDzZ0JZnWCzQhJLeUu+jlRrfeLATn7aPQXqwM6KTUlIoMPrQNZ4c/rITGSrys/DPk33oGtKhPFcUI8uiw6QGO2/ZsiXSdhAeHFfq3cJ9gUJPTGbixydV2H9Ojd/fNxe/v29uUKEtrd486TT79iFjwG09Q3Tewm5rG+RYPD0fGp0pYCgvlJDf2gY5llZkhTwpZaDrtrAyH0XZgpD69AjfBBrUT0SWulLH7M47mpVxtiR8fIrYnDlzvP5dccUV6O9PjVhqoqJQaqE1Wt2EgUnZbjzY6UxwcO0fWtsgn1AVI1Bjz/RrSTJ4aGpTQyriOxvvYIViR6t2wraeBNOXVVssgVTER1ObOmCfVyh9Y7XFEqy7qiDi2X+unvFkoQoZlwg06SsRWXIz+agtFmPb8R7Y7fZ4mxMWPsOJEokEW7ZsQX7+xCfNJUuWRNWodKfxYCeO9uqxVCJxy8ZzDa8srMzHofZBpyfgLTMxUDiGEcaNe89M8KSCDeWsqZFAKpX6nSom2BBdpNeLJpGwgcJll0iEe5purK4rxq8/bsPRCxrMlefG25xJ4zOxQ6PRoKCgADLZxM5ttVrtt88snqRCYkdJTgb61UMAl4+PT6qcSQZMYgMzeLlHY0CWkOuWgOCamLC2Qe43EYIZr/V11wjMNhtW1RU71ws2icIyrsFdi2aiQCzwmRThmcDgi0ivxxCNex6qDd7wvMah2hmJ5JLJEO719GZ3JK6nJ8nwWwcib6eqfwAD5sDXcdH0fPzjWC9G9BasrEveaZF8hhMff/xx1NfXe1325JNPRs0gwuEhralxeDKzy7Od/URMeGX/OTW6h/TgcVgT+mS8FQcG4DVs1XiwEz0aA/hcNno0hkmHclxrNFIfRvAEusaBwo2xGHIQDVzt9jxHCrHGDhGfi7sXlGNnixId6vF4mzNpfHpiyUoqeGKAI8X+07MjGBgz4mz/GPafU2P+1Fxn2vr+c2oM6ywTPDFvT7TePCSFUot9bQPIyxRAJhFgRrEYDy+a5jPV3tdTv1qtRuNxDbYd74VIwHGGMb15B5P1HBI51TqS3pCnnYHS/Scz5CAShHs9Xe1mBI05x2CHOMTCzlgR6xR75o/DAuR5Imw52gPlsB7XVOVDyONEzI5YQSKWoLB0GpwYtGBo3AwBl41hnQVmq80pUPOn5sJs9R8qZBpXsYCHlt5h3DVvCiw2O17d3YZ9bQNoalMDLDvO9o9jdnkO7po/xWcj4utztVqN+qpyn42SK577UCi1+On2E9jZosS0giyfDXGoDZunsETznkez0Q0kUtEIwQVDONfTs9/U8xz9nXOoDwzJ8luPtJ19qgE0q+3oGzH4/evS6DEwasKY0YJP2wawtKYQZdLkS7cnEUtQLOMarJpfA4vNju8urECWkOv2w/ZswDx/4K6Na5dGhyOdwxAJOGjuHsG2472Q54kwuzwHCyvz0Tk0jrvmTUG1TDyhEWH2u7Ay3+lpeXpitRVlWF4rg3rMiH1tA5DnifDwomkTGhrPfQczKNvbdoF4dXcb3j/ag8/PDmD+1FzAMBq1ex5Jb8jzuxltkQpWFCL5UOAp+p7n6O+cQ31gSJbferz6xBiKJEIcOD+IcaMVqydZgi6eBCViVqsVAwMD0Gq1GB0dxejoKMRicQzMC51UEbHDbT3Y2arF2gY5rq7KD9iYef7AXRtX1yoajFfGVP54/1iPU+C8NSrMfo1WKzJ4HIgFPLz1RYfXBu3V3W34+KTK6dV54rnvkpwMDI4bUVmY5VX0fG0XiJKcDHx+dgC9GgPMVhvEbDN++1lPQI9vMkRSaEL5bgYSoGAEyptn7G0bz/XC+Q2FI/qhbpssv/V4i5iAx8GY0YJ9bQNYXV+M3Ex+xGyJBQHnqHj77bfxu9/9Dvn5+WCzL+WBfPDBB1E1LN3Z0arFJ+06HGofxMZ75gRMsPBMUXYt+OuZpu9a+cMzVd/Xfj2r3wMT08KZKvquiSiA78K9zLCASMPMbs0c86V/HMH+Th3YLEdlkkROZ/ecEy7Q2DvAe3p+MOn7nt8ZX9sE+o6EQjjTvdBUMdHj2hmFaO4exos7T+Gt7yyItzkhEVDENm/ejI8++ghSqTTQqkSEYAY752fx0asx4KWdCvRp9XhiRY1zShV/ldz9jRXzbLg8y1n5Yk1dCQBAq7dgukzsrKq/sNCK2ovrMAOWtx3vdROLeIyH8mzw2GwWSrKFCZ85yVReAfwLbqBxVcGMu/K8Rr62CfY7QiQvWQIuHlg4Ff/9yTl80tqPa2sK421S0AQUsaKiooQNHaYqzsHOMxxx/32tAxg3WbFhdyumy8Ru84kxgsVMbsngnBDSy0zHjLgtrHSUefJM4/e0hdkXU1Hj5tklzqr6GnkGVi28JJzyXJFbOSZfM0fHci6te+ulkBflJ8W8XYw3y7z2RjDXbjJei6v37jqdTrIMRPacgmjjgQGsyylN+HueKNwxtwy7Wvrw4o5TuKYqHzzOpKoSxhyfIrZp0yYAQHl5Oe6//34sXboUfP6lWOl3vvOd6FuXpqxtkEOj0WDdsmo0HuyE2WoDj8PCnXPLcbzbvbAnIzLeJrd0HSv27NYWvH+0B4faBzFdJkZTmxpNbQPoHTFAyGU7py1nZlhmfvjeGjDX1wsLrc5B070aA0qkQren9saDnV5njm482ImtR3vQdGYA8txMSDK4fsNn4VCRK8CqhbU+lwcbwosFniFWX/OxRdOzDXVyT0/iNdmnq90AQir8nEqwWMAVU3JC3w7AvyyZhqf/3oL/+aIDDy2aFnnjooBPERsfdwx+KykpQUlJCcxmM8xm3xMyEtFhbYMch9oH0asxoHNIh3XLqp1Cwyxn/rs2GM4JIS82KEy/Rq/GgOkyMW6eXYLOwXF0a/TQm6zIEnKhHNZPmDXaswHzfK1QKJyDpkulQjyxogb7z6mxsDIf33/nCLR6i9fiwMx5tQ84bOCwWEH1V0WjgQwUwovnDMzeBCvanlG4+49F+NjbPfG0W6PRJLz3GA2CqWLve1s7rqzIxYb/a8PKumKU5mRE2LrI4zM7ccGCBViwYAEGBwdx3333Od8zn1VXV8fY1OBIhezEV3e34SOFGmarHXfNn4L5U3PRP+qY++vKijzUl+U4BxQzY2027j3jNfuOSTc/qRzBEytqkCnk4uFF03DX/CmoLZZgSGeC3mzFmNEKABgzWlBZmIXV9SVB2cqMEzNbbXh6Za0zk/KtLzqw/XgvujR62Ox2t5JWAJxj3QbHTZCJhbisROJ3sLXr+YQ6LivQPQ+UJRnJsWCh2uktIy/aqfeB9h/M9Yz2IGxv98TV7gKxANOEOtRWlEXl+JEk3tmJrrBYLNx0eTG2Hu3Fmf4xfOPykoSfEDlgiv1TTz2Fu+++O+BniUIqiBhTO/Hha2fgcPsQnt9+AjwOG4faHZNkMmO9VFoDvjg3iH1tA/j4pMrreCvXdPNMIRcv3Vrn1hhOK8hCx+A4KvIz8eDCaZBk8JwNeTBp2q7jxFzXYYRBqzejR6PH4LhpgjAWiAVYXV+C2+aUYXV9id/6i677DbWBZO65r/Nh7GBsiMQxgyGY8VfxGtDsj0C/oUjYHOi7F8w9SYbfOpBYIgYAs0qzUSgW4H8OdKKqMAs1RYmdE+EznLhv3z40NTVBpVLhxRdfdH4+NjYGDif5SpMkE67Th6x79yjO9o9jzGBBUbYA8lwRjncPY/F0R+LE1qM9EPLZ4HFYmFEk8VpN/okVNdiwu9VrirRrn1VFQabb1CKuYSEmGYTZpzNM6ZKd6HkOv79vLr7/zhFnqI7BX3guUCgrnDTryYa5opXaHamwWyzCnZ5JE9EmmBkY0q2vK5Z8Z2EFPvi6Fz//4CQWVecjR5S4Y8d8pp/IZDLMmjULAoEAM2fOdP4tW7YMb775ZkQO3tTUhBtuuAHXXXcd3njjjQnLN23ahFWrVuGmm27Ct7/9bfT09ETkuMmCQqmFWMBDJp+D4mxHwsTfjnThk9MDaFONYk1dCUqkQgyNm6E32zBqNLtN2cIUhvU395VrwWBvc5T5Wsa839GqdbPXs3grM2fZumWXws/+CteGO4eUvwKy8Zpk0ZdNkbIn2ELA4RTXjXWx4XjdK8IBh83Cy7fVY1hnxk+3n4y3OX7xGU7Mz89HbW0tqqursWjRItTV1aG2thaVlZUQCoVhH9hqteLhhx/Gn//8ZzzyyCN48cUXMX/+fOTmXprXxmg04gc/+AG+9a1vQa/X47333sONN97od7+pEE4EHBU7nv+oHaf7RmGy2mG22iHJ4OLe+VPQpdE5w4NPr6xF5+A47Hbg3gVT8P6xHmeJqIWV+Xjriw63klGefU7qMSOau0cgFvDQ3DPsVjLKNSzkq8bdCjkf1VOKAAA/3X4C24/3YnDc6AwdegstGc02Zy3HallkQxXeqlBs/OQ8phVJUVss8VuqKxRC2TbYKWom+90MNtzpakdJTkZI5+56jEiV8fJ3DSMRkkyW33qihRPleSJIMnjOa//WFx2oLEjcsGLAcWLbtm3DCy+8gJycHMydOxfz5s3D3LlzkZ2dHdaBm5ubIZfLUV5eDgBYvXo19uzZg6qqKuc6DQ0NztezZ8/G9u3bwzpmMrGjVYvuIT3YLMBmB4bGTdDogN99chaPXVuFziGdM3z07OrL0HiwE8e7h/HJ6QFnlQ9vIRkmvMdkIG7cewYfn1Sh6cwANONm3Dy7BO0D43hk81eQ54nw7OrLAGBCuIrxmHbtP47vv3MEgGMgtD9cx7RFa/CstyoUvlKtwwnnhbJttLMJgw2tudoR6rm7zizuK4QcKjQpaHSYbIo9g8VqQ7dGBwD4xuxifHSiDz/e2oIyqeNhQyzgIjuBwosBReyXv/wlAEClUuGf//wnXnjhBfT39+PUqVNhHVilUqGoqMj5XiaTobm52ef6W7ZsweLFi8M6ZjKxpkaClgELeof1KJIIUFUoxrELGmgNFvztSBd2P7HUuS7TGMwuzwabBZwfGMfGvWecITzPxtNut6OlZ8QtrCTPzcTiahHWNsix7t2j6NLo0a3RO8NHvhqb/23WYP8FHdgAbphVhLvml/tsrP2NaQMi17ej0Znw0k7m+8nClGwemtoGsKtZ6SaawYpLMOnc/kiU/htXOyYjrMz9Ywa4h0ukxD2eQyASkXBS7L1x46wibNx7Bk9uacYDV0/F0pqC5BKxbdu24ciRI2hra0NOTg7uu+8+zJs3L+wD2+32CZ/5SuXctm0bTpw4gcbGxoD7NRqNUCgUPpcbDAa/yxMFo8mEEZ0RVjugN5pwb60Ai0vz8PZxDe6szcSu/cexo1WLNTUSLCwENPIMaI16GMxW2OzAobP90Gq1uLdeCgz3QDHs6E9cM5WDlgs8DGj1eOkfDg+qoTwDi0vZOK7UoP28FXfWZuLPOgNyhBycutAPAJhdxIdcaMD3/9yENTUSVOQ6Qg02qw1sAPmZXKyZykFFLtfteK4sLLRCI8/wud7GAwP4tH3MMdD7qtDDK+1DRrzc1I+eETNsFz/jsAAhFxg3Ay/vbEEFz/3HvXbGJTvah4zOa8qcnz+7XLeNBLH+boZqP3P/rqsQRszOSFxDX/cnWX7rwdhZWxu872u1WqHsU4ZrlhvXyEX45PwY/nm8HXV5bIz2xXYiVn/nH1DE/uM//gNTpkzB3XffjSuvvBJlZZEZd1FUVIS+vj7ne5VKhcLCifW6vvjiC/zhD39AY2OjW8UQXwgEAr8nrFAoQvpCxIuNB5qgNTqa4hGjHTs6rJCKhHjjgQZHCHFrC5o69ZBKpXjp1jpn6aeXdp7CkU4NBvU2HLigg7woH6sW1ro8rU7DG9OmuZWqunl2CToNwCftg2gbtmHjPXPwyErHMf56uAsAcNf8cnQagKbOIUilUmcFjLVDRlSUcpxPwbualdiwuxVPrKiZECqsBfw+wa/LKYXUSwak5xO2r88bt7ZgUGdDqTQD8jzHvEiSDB5K+CZ82mXEEytqUFvrO3zZuLUFn7TrnNeA2benXZMhmKogif7dZO5fPOz05235uj+Jfj0ZIm0nh8NBcVFkw/RFMjuUuk58cWEMAxY+ViTQdQ0oYocOHcKZM2dw+PBh/Pa3v0VnZycqKirwq1/9KqwD19XVoaOjA11dXZDJZNi5cyd+85vfuK1z6tQpPP/88/jTn/6EvLy8sI6XbKypkeBQjwGD42bkXZwawTWk562yeG2xBPK8TBw4PwQAyBcLoNGZnMLSozE4t3/p1jrsalaiTTWKhZX5qCjIdFb0aLzYf7S2QY7OwXF0Duqc6wCXwj8KpdbhucyrdjYwG3a34mz/ODbsbg27v4vpr/OsE9k5OI6D54eg0ZmcpbmYmpCMfZ6N2XPfDPyjc62O0ujShxYoHBhMOCvYwr6Ed/z1nyVKuDaVYbFYuGNOGTZ+chbPbzuBBRW5kAh58TYLgJ8Ue4axsTH09vait7cXPT09GB0ddZuSZbJwuVw8//zzeOihh7Bq1SqsXLkS1dXVeO2117Bnzx4Ajv44nU6H9evX4+abb8b3vve9sI+bTHAvXucpuQ6vwrV8046WXnSoddjR0uuWOr22QY4bZspwTVUe+Bw2Pj09gA27W9F7sSwUUwhYeoNpPQAAIABJREFUodQ6U+93tDhSp59YUYNb55Q61wEAeV4mNDoz9p9TT0h/Z5ImNuxudaZfP7GiBlWFmXhiRU3I5xsojZtZ3jmo87qNa2PmLZU8UIo5M4XL0hkFzoLIkbAbcAhkw7RcFGcLvY7XUyi12HhgYFLp78z2nucWTkp9rAlkK6Xcxx+RgIu755dDNWLEM39v8dolFA8CemL33HMP5s6di7lz52Lt2rVuyRjhsmTJEixZssTts/Xr1ztfv/XWWxE7VrLxx68GoRp1zNulHjfiTP/YhCK6DJ5PqeuWVeORt79C77AeJdIMPLGiBjtaHMt3tPSiqU3t8LCGdJhd7shict3+2a0tE6rge2s8mELFa+ZVY/85tdMTCcUD29WsxMsfKSDPzcS9C6Y498s0ZtfPlGFNXYlj2peLjf/Cynzn8Vxt8XU9XD9niiC7hgs9Q6DeppPxhmtdSl/XiIHxko93jXjNyvSXRRkM3s450bL//HmsNLg5coSbneiPK6bkwG63443P2lGzV4zb5pTGPVsxoIgxk1+OjY0lfA2tVEGh1OL0gCP0l8nn4Jkba51FdZkpMjwLAQOXplvR6Ezo1ehhA1BXmo1V9cXOqVOYzMCmtgF0afQQcNm4d0EN2lSjkOeKnGLBTG4J+G4AnZVFaouDmufMGxt2t6JryJEJKc8TuXlSntO+uNriKgLeJud0/e/6uWe4UKHU4un3m6E1WJwh0EBZc96mv3G1wVdjHcwDwWQ9DX+zDcTSe5msUE02U5QyEycS6exET6bkZWK6LAuv7TkDncmKtQ1T4ipiAWsntrW14cEHH8SmTZvwzjvvYPv27bjiiisSto8qFQY7v7q7DSd6tcgUcPHL2y/HqvpiZ1Hd94/24POzA1hVV4y75k9xG5T81hcd2Ha8F/I8EaoKs1BdmIU1dSXOAc8DY0ac6BkBh81CQ0Uuzg6M4TtXV6CldwRftmtwpFODk71aZAm5yOBx8PFJldcahq6DVJmBr5MtkpufKUBzzzDqSnPw2LIq5wBL18G19WU5IdUu9DWImCk6bLZe2teru9vQ0jOCTD4HP1k9E9UysdeBtq7nzDTG8jwRZpfnTLAr2MHNnjaHWrDW1SbPgdyBjhcO/n5D/gZU+xuUHaytntfW3/cuGX7rQOINdg4Ei8XC9EIxmruH0dw9jBtmFaEoO37V7gOK2L/+67/ihz/8IZ577jk88MADmDp1Kl5++WXccccdMTIxNFJBxEpyMqAeHMKv7p6Pq6vynY3Vwsp8HL2gQZdG71YVw3U7k8WGhxdNwwNXV4AFFp7c8jWOXRjG4Y4hXBjSQaM348KQHq2qUehNVrSrx3HvAjlOKkegGTejLDcDT6+sdQoHU/XDtaoC03CotAZ82TGMaUVSr0KjUGrx0+0nvFbXZ85pSU0BnrpxBm6bU+azAQ6nMXat2OFtXyU5GbDY7PjFLbPcrrVnFQnXxnJtg9x5nZkHCdfj7WsbcKt8Eiyhfjdd78MX5wYnVXlkMqjVaqgtAq/XyVWoGLFnBCbc+/jT7SfQrzVgepHYeW39CWMy/NaB5BMxAOBx2ZhWkImD5wfR3DWC2+eWOfvwY01AEdu8eTOefPJJ5/uysjJs3rwZ99xzT7RtmxSpIGLMU3n7KAfffesw/n6kG8e7RpAl5EKSwcP5gfEJ06W49s/sbFGiJCcDz28/AZXWCDuAcZMVVqsdIj4HYiEXWoPF8bnRgmwRD0+vrIXFZsfTK2tRWyyZ4N25PlnLc0XoHBoHj8PGgY4R55Qxng3Uq7vbsP14r7O6vuuTuWcD53oer+5ug9FsmyCewbCrWYlH3zmC/EwBqmVit2ltvHmIng2rryd718bSm9fD8NPtJ/DxSRUqC7PwwNUVQdsN+BcHbzA2GcxWn16zN8Ipt8XY2XhcM6G816u721BfluMU9khW/2e+S90aPeZNzcVd8x39p/6EMRl+60ByihgAiIU85GcJsPd0PwbHTFgRxWmK/BFQxD7//HN0dHSgpKQEWq0WjY2NMBgMWL16dYxMDI1UEDEA0KpUeKupE/oxHYSwoVrKR76Qg9W1+SiR8PHAVXLkZTi6NNv6x/DEe8dxrFODk8oRnOzVwmSx4s655VAotSjLyQCfw8Ll5dnYeO8cnFaOomtIh7xMPpbUFGDFDBl2tijdBJCZisXVq3BmBw6No2/EiOlFYkwVs7BiVjne+qLDKTzM/4WV+bDa7c55ulyFS54rwuGOIVx/mQwiAXeCuH11YQgHzw+5eZz+PDuGR985grP942hVafGtq6a6TWvjKzzoy5MINjTnuq8v24dwzstDRjB4ikOg+oaMTdMKskISi3DnR2PmkHM9ZqD5vcIl0Jxvnnh64IlMsooYAMgkQpTkCPHOoQsoEAtQXxadhBJ/BBSxa665Bvv27cObb76JDz/8ELm5ufjxj38ckSLA0SAlROzgQVjffx/1fefB+vprTOs9i5mDF6A9fBxDR47jOpYGik+/hPlUKz7c9jk+/+ggBF0XUDw2iAV8A5bk2HBLmRDzclj49qxcaAeH0T8wAugNqMsTwjg+DovegOuqcvDKmhn46xfn8GVrH870DuOcahQWkwULp+XiT03n8fnZQVwhl+L2OWUok2aAxQLumjsF2SIels+QoV2lwdkhI/acHsBJ5TCOXRjGyd4RHL0wDBGfg9/cORvTCrKwce8Zt1DQrz9uhXLECKVWj6FxE7Ze7Ou7a94UiAQcACx0a/RuYuDq2Q2OG72G0PIzBWhVafHEihpn/5a3viZffTf+vCwGTwF03dfDi6bBZreHHEoEJoqDL2/Vk0B9eJ52hOsheZtDriQnA1arHWsb5MgPQzRa+7T4/SdnUZQtRH5WkHO+Manedrvjz2bDn/adw8HzQ7BZbbimJj4eQrAks4gBwC1XlKJjcBxvH+jEVZV5MZ8NmmX3k+xvtVrx61//Gj/60Y9iaVNYBBr9nvCj+Pv6gNJSwGYLvG6IWFlsWNgc2Llc2Dgc8IUCcPk8aEx2jNsAO5cLnoCPHIkIQiEferChNtiQly2CSCQAeDyAx8OYFegaM8PI4kA5boWNy0W2JBPyomz06awozM1Cj86KmnIp8nKy8Gm7BidUOtg4XMyQ5+P6+lIo1AbsPjeEpTNLYOdy8d7XfdDZOZhXXYB7rq5E17gZe85ocO2sEtj5AnzYOog6eR6aOjWwcHiwsTj4qnMYy2sL8Ph1NTg7MIoPvlbipvoSVLlWxmexcPbcOVRVVjrfA8DZ/jG8f6wHt84pxdajPfj4lArXXSbDj1Zd5raeN17epcA/T/bhyspc5Aj5mD81F192DGHB1Dx82TGIO+aVY7pM7Gxc2/q0eP9oN26bU+b4HHAscz2G3Y49h0/gKzUHt84pw/TCLJzpH8X7x3pw2xWlqC4UX2qkXWH249qQA/jt/7Vij2LAcX1WTHdbNmF7b69d33uIRHtHByrkcq/LvL1uHxjDhyeUWDmzCBUFWb6Pa7fj95+exWetA1hUnYfvL61yX878Jjzt8kL7wBj+8kUb7l58GSrmz/K5XiIQ6Tap+cRJ8PLKI7a/QGTw2NCbrXh48xHoTFb86VtzUSgRxiz13m+KPYfDwcmTiT2XTMpRUADcfjv693wGm8kEns0CrtUKPmzg2GxgWS3g2ayT2jXHbgPHagOsZscHujEAgPTin5OLZewyAHj7KWQBzirmsz2WMeu7JkovvfjnSq3LPgCg3st+HnB5/+jF/9e4fGblcMHicQEeDyV2Fr5tZ4Mr4AFZGQDX8Tk4HJRZrUBmpuM9lwtwuajicvHUxfeP2lhYPWJE+ZcSYEuG23rgcjFkskOh1mFGaS7ypJl4WG/FAtUYdKeAsxojzGVS/Hh2OT7YMwBr7xhOfJaH6fOnOm04fKQHPRdGcOBEIYQzS/B/ZwaxfFYpphZlX7KTzcaXX7ThSJ8RmX09mL6sGtUAflQrwvmuLmzc1YvVs0ow7WLVlEDcnA+wc8y4KR9Ab++lBREYoGpTqYCsrKDX3/pZK/Yo+mHQjOCJ6/wPgr+hIhsG7RhuqJQCRuOkbazIE+HOy8SoyI1f1ly8iHaKvS9un1OG1/edw/q/HMfDi6ZhWW1hTETMrycGAK+88go6Ojpw4403QiQSOT+//vrro27cZEh6T+wiT/73hzjS3IVsIRejBiuuqc7D/Q1T8ZN/tEClNUDEtuOp5VVYNE0KWCzo6BvBz7d+DZPBhHwhG5lcQMwCutRaFAo5uGWWDM2dapgMJoxodTDoTZDwgPFxA3IFLCytyEW3ehT1skwcax9Ad/8oKnL4WFqZC1gsl/7MZmjHDPi6fQAWoxkSrh1smw0ZLDsMeiPyhWyUifmA2ezcRjOig8FgBNdmBcdmRQbsyGDZYDKawbFZwbFH3utMOths2DgcWNhccPg8cPgOAQaPB43JhlELkCESoCDn/7N35vFRldf/f8+Syb7vISGEPUAoAmKQigqIyiKIdUer/ixtVaq1YlWsVftVa61b6Vd9+a2VVnCvoIIgIiItAlUQEyCQsGQI2ZOZLJOZzHp/f0zmMjOZSSYh2yTP+/XiRXLnLufemTyfOec5zzluYuwltvI/X9v97evrNV+/t30hQK3mdGUlw0eO7Phcbl7miRoDH/9QzpIfDWNUSuDid66cOHGCUWPHgssLH6D09Jj0Q+FhDhv7p/dXYXkj7/z3NBfkJPD8dT8iMz6i84POkU4XOzc2NhIfH8++ffs8tg9UERssXJgdTUNtHHERIYRrlDhQ8WFhNXddMYlXdh7HYLHzaqGOzNHDyMmIYkRGBndGJ/P2vlJiIzUUVRqIDlejGqHgspk5bD1ey77mZPKGxRARqsZstvG93kR9iwWFUoFtQhp3XeoM3xzYWsTekzouGBHPJVfmeoZvFApigG+2FLHvlI5JKaHcfsl43m8rFHzd9ExIOhsyOlVr4JWvjqOtayZEoaDFYid/ZAIPXZnLf4treWtfKcunZznF2GoFu53SykY2fFeKymZlSV4a2TEayqqb+LqogktGJpAZHeIhki5x9ff7ydOVVDXbGZ8UwfEKPWU1zUSr4YKsGGJDFL6Pd9vWajJTVW9AslqJCVGQGKr0uy82W/e8HYcDpcOBBiuYTR4vyZ6yHtlL7k+GB7KTS9RUKkaFhHC/t9hpNPLrAQlpV7a3/RxVXw81NTBihPM6gl4nb1gsZ0Yn8e/jdWw5VMXPLhrZ69fsVMSeeeaZXjdC4MlnBZU8+4ORVkUsChNEONQYzTbsEhyPcBA5ZhRHtTrMNgePfNsANFBc3czY1Ggev30uAKs+/IFjtUYcNomoWii1RFCscVBpUGNtkAhRabCiJjEtlIkZMcy5eBSkOSseLFkUQ+t/y7h6Rhbb6oz8dWcJ91wyhvmTzpYcO2+Wht3WEnLGRfBWucTmehUL89LJmTbR417WHTrMNlM4REaQGRfGhaMSWTYtE5Ij+XF2Nj+eN63dXM+GM0VsDTGjVEsQmsavZo3m4x0lfJ0QQ1NKMldOTGFLQQVXTExlZGIkOBycqmlmy6FKrpiQ4tzWNsGPw8EHH+/nQEUrF41NYsGkdN7YWkRNk5mj41P4VVvPtY6EJwywu3kTiZ15E3a7f2FtE2pfr1eePk16crLn/na75/9tr+kajRSX6xmXGE68RtHu/EfP6KhrMJIWoWJ0fFh7sfVlgy8ht3Xc6NQv53JsDyGnc9TUgNsyIUHvMn9iGmcaTDz3+TEuHJXIxIxza6DcGX5FrKSkhNOnTzN3rnNQfPrpp2lubgZg+fLlTJw40d+hgnPkhe3HqGq2EqlRkRCpobbZjEIBJquD/xyvQ4ECu+TAbJPYe1KHa/jdc1LHta/t4Y/LJvOL2aNZ9eEPmCx2zDYHR6ubMVkdGC12uVt0Znw4L99wHgBv7Tlbumd8Wgy/v8r5/t799gGO17Twp21HyUqMkEv8bPyhnCMVzcSobKxeOgazzcG1050zYu6lgH4yLYtjVc1o643cfemYgOoqXjFjFCUGZ4jxsgtGQ0wMcy8YQ6Wk4dL8bN7Yq+XTw01UqiP5w1LnWqyXdlbw5TEjxUoTL90w3uN8Uy9swV6jYP7UYYxMieKBrCw2HihnwY/SIfms4J2saWZLQQULJqU551Lcst2UrQrC4mNRREVwymBjS0EFV45PJiepbY7KXQRVKue/UGeG2IkaAx8XtoXTsvwLoDE11SP01VEYbu0Xx/gyvIa5uSk+55lCagz8t+1YziWEJ0ntxK30xAm+OGlmb3E1Px4Rx+0zMsFm4+1vTvL9iVpmZEVz7Y/SPYXXn0C6bd9XUo22qgmVw86o+FCmpEf5/zLQJsKtJjMNjUbiNQpCcXjsZzObUUdHw/nnd//+BV1GpVRww/lZ/O3fp7hr/QG23HsREZpO/aVu4/fMzz//PCtWrJB//89//sO9996LyWTif//3f3nllVd6zaihznXTsnh5+zHunTuGi8Yms26vlv2lelmIRqdEUtdsxmyz4e4/KICmVhvPbCli9thkJAmGxYfTZLISqlZisjqQALvbQadqnW1TzuhMcmFcQBah++eN44Xtx7huWhYr3zlARVs7l47wrpG37s78Lt1/bnoMr9w8rd02V729m/OzkYCbLjjbEuaAtgGT1YHF3n5+LTNGzWUX5Mr7rvu2guX5IxjtVWvvje2lfHywngpCeerqTHn/V3ce53BlE3qDhdooOwoFbKlUoEsO4dEZI50DapvXJ3uALgGUJLYebuJbg4qwait35SZ67uN2XJU1hM+/Oc0VuamMTAzn86M17CttQKNRc09ajIdQTs9OoLCikWlZHik5ARPwPJVC4Qz9ufXys+v1zMlOpTmhnNluInlBcjZVP5QztZvCmVRjYMveUgCm5I8I6ByvfOFMGvEl5togmRMbjESHhfDY4lxWvnOQF78oZvXCCb12Lb8iVlNTw9SpU+Xfo6KiuPzyywF47733es0gAWh1RqS2/1ekxzg9n++dkyGRGhX3zxvHE58eBmxEalRyN+eEyBB0LVayEyPkQqp6o4XPD1XhkJxdjiUgVK0kNjyE6iYzv3r3ADYHqJVQpjOxZkcJxdXNHr3HFkxOZ/WGQs7oTGjUSrm3WHyEs9vzyncOeOwfSDFX9woj7hXwA8G7ovm6vVrqDBYyYsPkc3fU16srRWjX7dXyWWEVkiSRkxzJdec7vU2zzcE1UzNBqXT+w9MDdR27PD+bOfljqSCUS/OzIdH/Pf7rKy17KlupT1LyuwtGMy8qBW3sCcolByVh8YxJjpKFcecBPTXhCew2qrk4OVkWw1PVTWwpKKfZaOH7CiNhkTruSo9tl9K++XAVu0rqUSoVLM7L6HLixaiUqHai4WtbVxiVEsXjV3UtHX7Jj4Z5/C/o3Sr2XSE8RMlVP8rgjf+cYuaoxLPLS9roqRR8vyLW0tLi8fv7778v/6zT6c75wgL/LM/PRlvlbJdy9f/upri6GbPVTohKwY3nZ/HC9mM0mqyMTonEbHVQpjcRrlYCCuIjQ3D6ZMhV2gvLGynTmWTPLC8zlkV5GW3V252eiyRBVls6sqv3mHdF9H2n6inXt7Kp0NmmZNaoJJ7ZXEhti53MhHB5f2+R8VVp3CUm+07VU9Volu3tiM6qw7uqynfUQqUjgfXV7sPZGNSIVtfi7Azddl1f53cXSPBsb+NavNyRWM8bGUl4VAw/meYUyrFpMajVaj4+WIEyxPOeqmwqjhkh2x4C8We9sTe/qWbzCTOzxyYxIT+duednOec63b0+h4MFV8RhTzvDVXlpvLtPy38blFjLWvltbrZHGNWXx6jQaGThBjpea9aL9FfW40Cnv1LsfTElK44vjlTz58+L2/3NzR6b1CMi5rdix7Zt2xg1alS7/mEHDx6koKCAZcuWnfPFe4PBULEjOTqU7YVlfH2ikYrGVqx2CQlnrPlYtYF6g4XQEGfV9ZykSH4400CISoneaMVkdVDeYGLPyTrOH5EAQMGZBsxWB2NSozFa7RRVNBMZpmb+hFS+K9URFapifFoMI5IiWZSXQWSYWq6hCGfF4/rpw4kKU9NqtbO1sIodx2pobLWTlRghhyHdq0S4qkZ8XVzbrrafq2qEq0KHv+oRvqrH+6sOr0BBYUUDs0Yl8dH35bId7u+5q6bfur1av+WcvKvD79fqOVjWSESoqsPKGR1V3vdVlsm7qoatRc/1F00MqAzWyOQon5VB0mLDMFrs3D4rh59Myzpb9UKhcApPWzZgQlwkM8enEx8fzTsF1ewpbyEpOZaFF4yCiAjnurqoKIiOdv6LiYHYWIiLo8ZqJWnsWIiLc26LjT27X1SU819EBISHO/+FhjrDka4MQqXybAq+QuH75wBY+80pviyqwWJ3MNNHo1G9Xk9CYiIkJAR8zv4g2Ct2dIRapcRic/BtqY5Jw2KJCj3rN2UnRhATfu7dof16YqtWreK+++5j2bJlTJjgjGcePnyYDRs28NJLL53zhQX+KapsorLZSmKUhvjwELT1Rkw2Bxa7hEOyEaFRY7E5eGH7MdJiwjFa7MS21VGMCVdjt0to642sfOcAY1Oj2XvS6TlrQpSc0ZlQKWkr4mvE6pCwmO2cqDVwtKpZ7lHm7jV4h+CKKpsorm6mTGciNUotN5h0b6b51NV5chPKpGiNR1dq8PR6Okr2cL92Z2FKV6fq9/eXdejdddaA0fv1WaOS2FVci7a+RQ5VFlU2sWZHCU0mGzHhalbOGdPOk3N/jv5ClZ01rfTXDLKr2zvCV2+6jnC4Kme4hVK7jcPRfk7Rbm/nOcr/3Pa9ekYOYWEarpyYdtYOd0+wi6Io6B0uHJXI18U1/FDWwPyJPddU2YVfTyw1NZVFixbxww8/8M0333D06FHi4+P5wx/+QE5O16pz9yWDwRN7aXsx24/WYzDbyUoIp8Vix2R1DhzhISqmZMVhtUuUN5go0xmxS05RiosMYVRyFOV6Ew5JQtdiJSU6jAkZMYxKiSI8RM1pnRGHBAdO6wnXqMiMD8dstaM3WkmM1KBSKpyJJNoGrHan15ARF051UyutVjsjk6PITY/h/BEJnKg1UNlooqiqmdz0mHbeR0ZcOP85XktNo5nzhsfLlce98a48747LE3EVJ3YPx3kfZ7Y6+E6rIz4ihEnDYmUvxfs976h2oHvR43njnVX8C8ob+KGskTNtz3Vubiq//+QQWwqrKNMZOVlrYM/Jes4fkeCzfUt1Uyv/PaWj1WonJSpMrs7v/by689k814r0AHUGMwVnGpmcGRfQOXr0b0ih8FwrFhLi9NxCQyEszOnJuXuGbh5h/LAUYjJSeO+4gbThaSQOS6HErGRtYT0pwxIpN9n4pLSVuLgojzqMA43B7IkBaNRKjlU102CyMn3EWa+4pzyxDgsAR0REkJ+fz4IFC1iwYAH5+fkeVTsGIoNBxDLiwvnX/tPYHFDVZJYFTAFMzIjlSGUzM3ISqGxopdXmfM3mkKhobKXRZCW6rcqHBEwa5sz0Wzg5g9z0GLT1RuoNZkwWO+UNrcwanUR8pIYTNQYcEpTWtdBstpMaE0pMeIgsWt+cqGdrYRX/OV5LUmQomwsrKTjTSFWzhTKdidL6Ftbt1QIwe2yy3LvLuwmlN0WVTfxi3X4qG80UlDdwosbgMSD7agnjCsfd8Y9vKa0zUlDewMyRiTz2ySHK9CZqms0e7Tq+LS5n7f5a+by+Qoruoc+vjtZiMNv4T0kd+7UN5CRFMiolyqOC+ubCSk7WGkiJCSUuQkNNk1kWfff30b1VyonaFr4t1bH3lI7SOiM/v3iUz+ad/vAlWN5hyu6IWler2p/L31BPiK47L35RzIcHymm1S8ydmM4LX57g3e8rMUlKvitv5qOjTZi7Wa2/rxjsIgZQbzBzqKKRS8aloGjzjvtExIKRwSBiydGhaMyN7D3j9JrAmT2oUSmZnBVLdqLzi8RVP8qgtL6FyZmxlOmM2BwSZpuDyFA1Joud+MgQ9C1W0mLC5Iruy6ZmMmd8CjqjhVEpUcwbn0pxjbNBpsFsIy02jEnDYuRv5/UtFhZOzpC9qnJ9K4crG9mvbWB8WjQtrRaiwzXoWyxUNLY6E0jAbzsOXxXgD5U3EqFRMS41hq+LazvtClxnMPPS9mJazHaqm1vJGxbHD2ca+K5UT3J0KD8ek+QxV/Ti9mK2HdN7DNK//+QQnxyskFu9uH5Pjg5DqYSyeiPNZjvDE8N5/KpJ3HZhDiOTo2ThuyAnkfoWC+lx4fy/WSOJDFP7bd8yMjlKbiNS0dCKwWxHQuKOWZ4Rjc4+m76aYAYy99YZXa1qfy5/Q+faBsYbb9vdf7e0NKJtds67env4A4mhIGIVDa2U1BiYPSYZlbJnRaz3VqAJuk1RZRO7Sg1MyoihsrGVuHANepOFMSnRLMrL4IXtxyjXtxIfoeHfv50DwP98epg3dpciARmx4WhUSuqazeharLyw/ZjHvJP7OqzVGwr56mgtSdEa5uSmsHLOGNbsKJGbaTaZbKzeUMjy/GzW3DiVdXu1ZCdE8P7+Mm6akc2m7yzs0prIjAujttlMZKia7IQI+RjvTLx1e7X8a/8ZPv2hgj8um9xursg1h7Rur5YNB8rZVVJLdoLzw+6ad3LNvc0em8SEjOFO23aUABCiUsr7uVg0Lob4+PiA5nxiwtWsXji1bb7L6vFH5j2HFR+h4eODFT7nEd1xPe+iyiae2nwEjVrJw1d0vVaeexamux3e83Du/wdCd+bRukt37OsIb9vdf1+zxURVo5ndJ+oCWmQ/WBgoKfbunNY5s93Hp0eTHKUhNERFdGjPyI8QsQHIur1a9px2rhULD1GhM1qw2JwumWthsiul3ZU5qDdaCA9RkREfRnpcGIXljUiSREyYmvvnnV27474+a1NhBU0mK0lRGuqbLcRHaOQBWKmAjPhwYsLVfHSgnF3FteRlxrJyzhjW7dVS1WgY0dU5AAAgAElEQVR2Hm+2M3tsEoVnGrFL0Nxq4/39ZVToW+XF097p8J/+UEFTq40Xth9j+/2XeAxCrsQRvdFCTLiaMp2JMp0JtVIhp87PGpXEvlP1LMrLkAenlXPGUFzdTIW+VRY0gEV5GWw61sSi6WM8RMY7mcH9d5fouMTSdV3vAdj9/zU7Sth2uBq90dJuobb7+3qwrJElUzI6HVR9LSdwDdBFlU3tEjHc9+8LQfK33KEz+lIwu/LlZTAxkFLsXRytbEapgJJqA5nxyT1aGNiviP3iF7/o8MDXXnutx4wQeLI8P5v9J6o4WmehxXK27YoC5AE9Lca5sHfNjhK2HqoiVK1kWnY8N83I5v/+fZIQlYLxabE8vSzPY5BxeULvfeucc1MpYOaoREJDlLIHNSUzjuLqZln8vj5Wyxm9iYoGk8fgqTda+K7cSKZJwS352by1V0t2YgQ3zciWvcV1e7XywOsa9P64bDIvbD/mU1xdHs2u4jriI0NQKSApKpRpI+Jl0Xade/eJOnKSI+XjXJ6ia4G3XXLabnc4KG445pGx2NE3ePf3wf3/QI7p7H0FmDUqSfZUXe/JrFFJbPqulpVxw/xmhHa0ODyQTEd3uitC3b1eT147UHISQlkwa+B3rBgK1LdYiIvQyKHEnsSviN1xxx2Ac71YXV0dV111FQCbN29m2DCxOr43yU2PocV6NlV4fGoUI1Oi5FDiqToje0/q5EQKh+Ssq7jnRD1HKprQGZ39wupazO3WemUnRGCXJNryQVAooMVs90hNT4sNlT2t4mrnfJmE0zObNSpJDrUBxIWpqNC3otUZ5dAm4CEucHbQ0xudHt/988axqbCCTYUVsnfnnUrva8BevaHQYzG293F6o4Umk43k6FCqm8y0Wu1kxIRw/7xx8rm68j74G6C9q3MAzJ+YykpXQeEOzue+FEFvtLDtcDW7imupN7QS3yb6vsKsHS0O72qY7lxEqDvX83dt7zBsXwmcoG+pamwlpQcSeXzhV8RmzJgBwMsvv8z69evl7XPmzOHmm2/uFWMEZ7llSjwv76nHZLXTYrF7zPM8s6WI7MQIshMi2FVcS3SoimazHbuELGAA2QnO4rSvf32CP31+FIcEw+LCUSkUaDRKHA4Jk81BcXUzF49Ldobe2kKMrhIxTsEI9wglbjtcjc0hoQCmpIcxNScOvdHiUe7J15opAG29UR60Kxs96zC61pJ1tIbMXeBcnolru8s2cAqKi0UjVCyYnN4j8yLu4dudR2vZd6qetJhw9pysl8tedYZ3GBKck9x5yWq/Xp8vYXenu15hd0Nt5xIWdL92uzqb5yiugoFHq9VOrcHMlF6ap+t0Tkyn01FWVkZWlrMUTllZmSg71QdcNCKKgzolnxVWUaZ31jR85eZpbCqsoLKxlezECP761XGaWm2oXAUP3I7PjA9n9UJnKOWvXx2XPS+LzcH0EQnEhKuZkhnHX786TqvVKWQ5c5z1EL86Wsuw+DDunzfOY57INVeVNyyWo1VNmK0OIjVKOcEB8NjfHdegd9f6/UiShMXmIH9kAqCgsLyR+mYLV08d1s5zdD+Xd8jRe7Bz98QAWfiLiooCfu6deQKu684em0RitIZTtS00t9pwOCQqGkxy+LSjc7kLgMfcXEO5X+8j0MXhgdIVEepp78j92h3NMwoGB2f0zv54mfG902W7UxF7+OGHueWWW2QRKy8v54knnugVYwSerJwzhsLyRir0JppMVu5av58DWr2zOHC9EYvNQYhKgb2tLL0rABmpUZGXebaHzz2XjubF7cU4JIkGkxWtroUKvYnC8kb+uGwyz2wp4lRtC2t2lLByzhh2ldRyqraFTYUVvHLzND4rqGTFP7/DYnfQbLKRER+GJEFUmJrZI6K4aIqzvuBXRTWY7Y4OkxsW5WXw9bFaapvNTBsRT3yEhv1afbtajb5EqrPqHf4SMlwEMhh7hz391Wl0eVGVDa2MSYlmWnZ8O3sCrcjhEuVZKXYG4gxOd7yjQIXvXOcZBe3pj+xEjUpBaIjvxqOl9QYArp2eSUxYSI9lJbro9GyzZ89m27ZtnDx5EoCRI0ei0Zx70UZBx5zSmdl0oISkyLNx5K2FVTiAxEgND1+Zy+4TdWQnRPDWPq28X12LuS3MWCcPwlqdkWnZCW0hr1CyEyI505b1t6mwgrzMWDm0l5seQ96wWCobWmkyWVm9oZBdJbWUtX2bGp0SKbdnKde3crDSxIorY6hqMmFyuXtt+BrIdp+oo9XmkAXXW4xcCQ++RMp9m/vg35HQuJ7lug2FcoFg8D8Y+0tjd+HPi/I1UAfqVcjCmR3Oglkd7hoQPe05BXofnXnKgr6hP7ITZ49N8ptxeEZvIjsxggnpvdMcMyBJPHToEOXl5djtdo4ePQrA0qVLe8UggZO3C/Ts1jrT7BU457cUCkACo9kmz/Es/9tezuhMJEVqmJARKw80a3aUoDdaeGrzEfae1BETpsbukGixOENtCZEh1LdYnULl1uunqLJJHpxdA/mUrDiQnPM2qxdOIDc9hpzkSGeCR1MTRZVN3D9vnDxX50pu6CjkB7SrN+hde9F78PPVgqUzoSmqbOKZXTXUGx1cMj6ZJVMyOhyMO0pj97dvd193Ic93pZzNRD0XIeppAQn0PrpS51IwdChvaGV4Qu9VeupUxFatWkVZWRnjx49HpXK6iwqFQohYH6BUKtCoFFhsDkAiLkJDfYuF8W5zRN+fbkACCssbKapsltdmnV2IG4LDIdFosqIAdC1W9p6sJz02jAajFW29EXDOZW04UE5xdTNrbpwqD+QuXJ6fC9fAuue0kac2HyE7MZLXb50OnF2w3FHIz4X7YN2Vgc81P+ddWNibdXu11LZYyUyI9BDXroa5AqG7PdJc1/ps90HZEz0XIeovAfH2lLsayvVGZCoODqoaTYxN6b0qSZ2K2KFDh/jss8/keleCvuGmyfFkpyXJA6LeaMFosTM6JZKfXTSS1W3hMbtDQq0EZ0NjB6frTax854C8Bis7IYLnth3DapeI1Kg4b3gcMeEhLMrL4JktRZQ3mLjt7/9lTGo00eFqeW7slZunyQPHtsPVFJ5pRN+W+eg9qGrrjRwsa5R/914c3dEA5D1YB7rGaeU7B+RF375edw1+s0YlsetopdwLzNvbO1d8hdC60iPNnU3HmtildYZtAxGiQBJHunrsudDRdbsjyiIkGfxY7Q5qms2kB5i52x06FbExY8ZQW1tLSkpKrxkh8KSosolNx5pYeeUUctNjWDA53SO85Z4hd820TI5UNPF9WQMOB0SEKeWFwK41SUqFgpgwFfdcOhqtzigPXJsKKzijN1HdbHbWAYwN8/tlJSkqlNAQpZzS7vLSZg6PYPaE4by1V4u2voXZY5IJUSmoaGiV59l6Yt7IWyzK9a1o1EqPBdUuXCWr9p2qZ2xqNPVGG5sKK9h9os4jJb8ncK/U4fL0/KXBd4Z7hYmuNBaFrg/ygR7bFbHraN/ueIciJBn81DSbkSRIi+2dzEQIQMT0ej0LFy5k8uTJhIScrSMnKnb0Huv2atlx0kBxm0flGhDlLDa3gTg3PYa71u+n4IxzMfLDV+SyqbACbX0Ld63fz5TMOLISwrluWpZcDgqcA5dr0HUuXHZOuLm6PrvCWu7zYyXFBrkOnauqxuzscLQ6o7P4r97E96cbsDskMuLCyE6MoPBMI/UGi3xNb7o73+JKpY8JV7cb5Jbnn+1CPTY1mktynF1/e/pbvatrtiRJ7e6lO2nwHVWY8De/6P6/L/vOVVS6IpS+9nUPsXbVxv7yKAU9x8laZ2aiq2h5b9CpiK1cubLXLi7wzfL8bHYdraRc38oL28+WS3JVd/BOYffOktt9ok5e9Ftc3SxX4yh3q3QB7QsB/2v/GTRqJU0mGwfLGjzSzAGPnz2SEaKT2Ph9ubPvmcXOsIRw8oY5M5HqDJZ26fPdfSau/3PTY4iP0LCruI4lUzJ8Dn6uDMpFeRnkhDRA3DD5Gbovyj4X1u3VUt9sISc5ssNKHT2Bv/nFjgb5jpYLdDXpJJD3z9e+nYVYzzVkKEKO7emPFHub3cEZvbHd9r0n6wGIDVf7fL0jokPVxEZ0ngnfqYjNmDGD8vJytFotF154ISaTCbvd3tlhgnPgVG0LVruD8WlRRIaGMDY12qO6gze+qjucXfQrMTY1moyYMN75tszvGo3l+WcL82p1LSyZkoHeaJHDcq5kD/AqudRQzrqjdUgSZLVV9gCcXtrYJJZNHdYufR6Q78U1+Lv/7ktg5OSHgkpWvnOA66ZlyZmG3t/GXfUVK1z1FcerZeFzDXguFuVldCkJw18iSkeLtHsCX6LT2bU6Wy7Q3et2ZV/5y46fEOu5hgxFyLE9/ZFi749NP1SSGKmh4ExT5zt7MXtsUkAi1mk/sffff58///nPbN26lVtvvZXy8nJWrVrF1Vdf3WWj+oLB0E/sjrXfUtFkoc5gpqbpbFfkkclROCTJo1cWtO/RlRwdysLJGXx04Ay7j9cTFariP8ednaKrmsxo61tYNjXT49jJmXFMz07gWHUTD84fzy8uGcXI5Ci5h5ir4aMrqeLbU3qsdgeTk5RMHp2F1e5g9cIJct8ti83Bzy4ayeTMONbt1fJ1ca3cVPP703p2HKvlZFsjzoIzjXx8sIKSagM6o7N/mT9+uX4/x2taqGwy8Y87LvDooeXqs/V1cS0FZ5oYFh/GQ1fmQmszycnJPptUFlU1sV/b4Le/la/+Z65+WNefP9yjVxp0r1+W6xrRSitjhqe12+6vgaS/a7m/p67PTVf6hXXEZwWV/PbTEmwO+Oj78g6bW7qL7IWjk9o9K2jfb66rdHR8MPytw+DtJ3aqroUdx2qYNyGVrG5UrQ+031inntj69ev54IMPuO666wAYMWKEKDvVy2QnRlCmN2FzQIRGwaxRSe2+dX9WUMkzW4pIitJQZ7BQ52PeSVvvXGdWXG3A3lbr0FXtw4V7yAlgbGo0OcnOmou56TGsuXGqvObMZYPr+HC1kjV7all55TC/67Tce39lxIdRrm/FbHWgBMJCVMwalUROciS7imupaDB59C/z5V24woSu7EtXqv2UrFi5fNUl45NlDzA3PYaihnIPu9yXDrjqRfoLM3qHqzr75t8dz8B1DW2aht01Z++9s1CZv2t5H9fdKhi+PL0Xth+jrNHKX786Ljds7cmMRMHgwGi28fHBciI1KqYNj+/Va3UqYhqNxqNCh81m67GL79q1i6eeegqHw8G1117LihUrPF63WCw8+OCDHD58mLi4OF588UUyMzN77PoDldULJ/Dr9fs4rrPQanWwqbCC/Vo91U1mviyq5s3bZzgHE71JrqQRqlZwpKKR5X/bB0jEhIc426O0VfNIjwtjSmYc7+8v8xAAbX0L8REhVDa0crCsoa0RppV1d+bL9hSeaaSiLdNwUV4G739XhtUu8c63ZbRa7VSaCqgzWOTF0HA2PLgoL0MWSFeSyqxRSR7hvgWT03n91ulyYd2OBr4Fk9PlCvmuBdfbDleTHhsmz7+5QoT+8F6rtvtEnc8yVeApFEWVTR4hXX89v2aNSpKXObgSPNyP9Q6Zuq6hrarzuHdX3zR/SRH+Mhi9MzC9K+4HGu70JUL3zxvHM5sLueXCURw809DhHGNvhPq6uxZP0HeYbXbW7ilF12LhpxeOQKNW9ur1Og0nlpaWUlhYyKFDh8jJyeG5555j2rRpzJw585wubLfb+dnPfsbf//53VqxYwf/8z/9w/vnnk5CQIO/z7rvvYjAYePPNN4mMjGTdunVcccUVHZ53MIQT6wxm/vafUsx20KgVnK43ymu0DGY7u4/XkREXTovZjtnqbJNid0BVk5nTOiOndSZKagzsOVlHTmIkx6oMNLfakIDHr5pEfKSGX7/3PX/5soRTtS00mW1YbHaMVmfZqNM6EwaTlc+PVPPpDxUcqmhCkmBMahS1BjNHK5sJVSsJC1HRarXTaLJR12KhTGdCwhke/ORgBSdqW4gJDyE8RMW2w9XUGlo5Vt3MzJFJ3HRBNla7M8RVZzDLA1NxTTPxESFIwMjkKL49peOX6/eTFBkqt5h3D6O1Wu2cqG1h0rAYxqdHkxgVSnFNM9sOV8thts7ec+8W90WVTfz+k0NsLqzkgpxErj9/+NlQ4vfllNQY0LVYKKk2+AznuUKex6qbuHXmCNlm1zNxSJLH/snRoWTEhfPvo5WMzYiXw8Vrvyllv7aBiFCVHMoNJLwYEariqavz5HtZ+c4B/tsW/nWFbgMJd3o/F4AxqdHMTLJwxfSxfHOinm2Hq+UwrtnqYO03pR5h7bm5qdQZzO3s7uxeXPgL5xZWNHQYBobg+FuHwRVOrGs2s26flooGEzfOyGZcWnS3z9Vj4cQHHniADz/8kLFjx/Lee+9x8cUXc+2113bbMBcFBQVkZ2fLhYUXLlzIl19+yejRo+V9duzYwT333APA5ZdfzpNPPokkSYN+4fW6vVrMdtciZgmT3bMmYWm9kTqDhbTYUJpbrVjsks/z2BxwtKqZpKhQytqaWgLsL9VT3Ww+u6OPw9fuKUWSQKNWolRAiErJf47XEaJUMn1EPDHhIXx1tJaMmBBuuXAUf999CklC9gK2HqrEaLFjNNv45kQ9oWol+7V6TFYHz2wpYvbYZPlbtCvk6MpgS4sN5YC2geLqZsxWB2V6Ew99VCCHOTuq1OFKKPFVXsqfR+LNmh0lbCmsQqnAwztbnp/NrpJauSAznG0f4+5puZYzuDf9XJ6fjba+BW290adntW6vlgMVJq5OS/LoGOB+nx2lsHsnmri3jDmjM6FRK+XQLXg25uyocr5rWYf7fq5alK77cHnP3hmI7ja4ala6zhdIHUvXPX/kllzUUaKIt5c2UAsqD0YcksTek/V8frgKtVLJTTOGMyGjbzzkTkVMqVRy3XXXyXNiPUV1dTVpaWcnsVNTUykoKGi3T3q6MxyjVquJjo5Gr9d7eGvemM3mDltvtLa2dqk1R38wK8XO11EqKpvtct8ud51JjlAxLlnD+KRQ3tEbsTmcjTE1KrB4JY6GKCEpTKJCAUmRapqamjwFDOcKseExKhqMVsLUChySRGqUmtIGG2arg/AQBS1WB+a2Ar/a2iYenp0C5gguywljfIqFg2kadp4ysOk750Be3+Ic5D/9oQKbdPY6kSEKksIkNhwoQ6/Xs3JmMrNS7Oizw5mSHs7BSiVT0sN566CFM7oWcpPD0IUoaLXaeGrjfrQNVmpbrMwZGQ1tc12YW9h5ysDUjHBmZ4ezaISKnAQ1NJRT1FAuv+dr9tSy85QBvV4PIP/cZLaz57QRbVUdqy9Jo6mpCYUC1Eo4crqGz3YfJCfB+c324VkJbDrWRJPZxE6tzrkGraGcp3ZW8R+tEWWbPWuuTAUaKCo6myUWo7RQb2hl03clzrR/r/e8bng4s1LsHra6zl/UUC4/J9c+gMc9rZyZzPLxzvt2bZ+aEU5ypIraFiubviuR91mzp8TjOH94nx/g4yN6/n3aJG87pbOD+ez7530PrvdlVoqdNVsOttvW0d/jrBQ7uyKUnNEZWbPl4Nl7pIGc8WffY3dbdx2tpN5oo254ODkJA/tvHQIbk3JzA5djSXIwPql3irSrFSDZrR7bTtQZ+ft/KzlU2cK0zGju/nEmiZGde1Cd0aKvo6iqBej4/v2K2OLFizu8wKefftpN05y4Foi64+1hBbKPN6GhoR3ecFFRUZc+EP1CZRMjCvREhSvR6oykRodisjlQALXNZvStDrLTkqgwWjBZJUJDlEzLjmf2mGTe2qslUqOiwWRFkqC51UZ6UhwThmuYNSqJTYUVnJcVQkVDKyqlgprmVm6bOYJrpme1S1N/avMRtPVGbsnPZldJHUcqG9GolDy8cKKzAPGss89zZdww4t08myaH89jp2fFsPVRFaIiKnKQI0uPCPdLaATYdKIHQSC6aMoYVVzq/vV00pb3XpDdaqK+oddZBbKtmAnhc25dX4bJxkTWO4oZjLJo+hpzkSPmYNTtKUChMxMTEkJuby+q4Yax85wCnalsorDazu0YlL0LOBed9e82HxRwwolKayIgN87DNnY7szAVyEs5+Nn3t67p2IOf0fj+8vanOnllH51+iM5OUdLaBqS+7/B2bM7IpoOt6PJeRgS1bcF3PwxMb6H/r9PyYpFAoOVpn6bHzueNerf5ErYEXthWzubCSuIgQnr46jxtnZPV5pMyviLkqcri6Oi9ZsgRwildY2LnXwUpLS6Oqqkr+vbq6ul1pq7S0NCorK0lLS8Nms9Hc3ExcXN8u4usPXKEltUqFyepAqzNx0wXDPdaKuX6WAItdIjsxEq3OSL3BQmh8GG/ePkM+l+uPelNhhbxAeMPdP253Xe8Mw+zESA6WNaLVGVl35wU+bXWFlpbnZ3suYm1LDFm9oRCrQ8JqttFstlHSFkKKb1v/4d6N2bXdV9kl78ryXa0VCM4EjqpGM5sKKzzO49GYso2xqdGkxYQREx7iM+Tofc3O2rJ0xU73fYsqmzoM+/k7p6/n1x1bfO3XUWWRzo7tTqZkd2xdMDl9wEdcgpXT9Ub+96vjfHjgDKFqJb+aM5o7Z48kJuzcva/u4FfEhg1zVjg4cOAA7777rrx93Lhx3HDDDfJcVXfJy8ujtLSUsrIyUlNT2bx5M88//7zHPnPmzGHDhg2cd955fP755+Tn5w/6+TBoW6ys1zNl1DDe2qslKSpUzvBzZdW50sSnZMVSZ7DI8x2uckuueoKu+omuNPfOWpF42+H+v+u67t+K3YvW+ksDd9nu8sDcMxDdX4eOS0N1ZQD0nv9yvw/vDEhfLV5cYu9rTsgXgYpOV+mNNHVRqknQHSobTTz+yWF2HK1BrVRy68xs7r50NElR/bsmrdM5MZPJxHfffcf06c42GwcOHMBkMp37hdVqHnvsMe68807sdjvXXHMNY8aM4eWXX2bSpEnMnTuXn/zkJ6xatYrLLruM2NhYXnzxxXO+bjCQmx7DypnJ5OaOYsXFozwqr7sXAd5VXEdabCh6o1VOVXeto3JPHvBVWcJFVwc070HVvWitv3txT2f3Lmbs/nogPbwCxaPW4ni1bEsgvcLcn1dXRaSnRac30tTF+i1BV9DWt7DzWC3HqpsJ16i486KR/L8f55Aa03uV6btCpyL21FNP8cgjj2AwOAs5RkdH8/TTT/fIxS+++GIuvvhij2333nuv/HNoaCh/+ctfeuRawYj3uh93D8K1hui6aVlyZXpXuaVyt/VXvkTKXwdeb6+jO0VnAyHQEFhX+KygUl4EnZMc6ZnZ50oA8bqOt9fk/ly6e789LTrn8kz8MRRKNRVVNjkX4scNE95mN5AkieLqZnYW16KtNxKhUTEvN5X754/ptQ7N3aVTEZs0aRKffPIJBoMBSZKIju5+3r+ga3iLiHc7lqpGsyxgrsSHCq8iv76EyF8H3kCqU3gPqp2FE/uKF7Yf43hNCy9sP8YFOYkexYGLvETMhff9+npWXRWR3gor9iS9IYwDBfe0/p2nDMR7tekRdIzdIXGovJGvi2upamolNjyERZPTmZ6dgEat7Ld5r47wK2Iff/wxS5Ys4c033/T5+u23395rRgmceIuI++DjmkvSGy2s2VEir4+62q3ckq9zeG/zPqe/6/mjs3Bid+jOnI17OSrXWqiObPK1Dsufh9Ide3oyZCfmsALHvdfeJTlRg9rb9IevKvYalYLQEJXfYxySxFdHa/m/f5/kjN7EiMQIVi8Yz2UTUlGrzlbc8FdAvD/xa5Fr3qulpaXPjBF40pGIuFdld0/YCKQnk/s27wGyq5XSA81U6wrdEYAFk9M9SjwFcg3vVi7+nnd37BmogjjY8XjuDeVDUvQlH1Xs3VPjvfl3SS1/2nqMwvJGxqVG89ryqcyfkIZSGRxJdH5F7IYbbgDgpptu6nBxsaBv6awVSFfpbIDs6QE0kEH8XOds/Nns79l1Rnfs6QtBFLTH4wuanzCywElpXQu/+/gQ/y6pY1hcOM9f+yOWnjcMVZCIl4tOfcMbbriBzMxMrrzySubPn09s7MCa1BtqeA+C5yosnQ2QPT2ABjKIn+ucjT+bu/vsenIOqScF0R8i/CjoCLtDYu03pTz3+VFClEp+t2gCy/OHE6r2H24cyHQqYtu2baOgoIDNmzfz2muvMXr0aBYsWCAvfhb0LX2d/RbIANqVQbMvvAp/Ng9mj8Zfxqk/T7Q3xU2I6MClTGfkvvcOsl+rZ874FJ6+Oo+02IGRKt9dApqlmzx5MpMnT+bnP/85f/zjH3nooYeEiPUTAzGzrCshsv60fyA8O18Zp/4KEXf3vIF6or2FmMMbmBwqb+S2N7/FbLPzwnU/4urzhg2K4hGdipjBYOCLL75g8+bNlJWVMW/ePD744IO+sE3QDfrjW/Bg9nB6Gu9n5WtR9rmet789UfF56F9c2YnuGYkFZQ2s+rCAuAgN7664gNEpg2epVKd/NVdddRXz5s3j7rvv5rzzzusLmwTnQCDfgjtbAN1V8RsIHk6w4P2svLPpeuq83d2nJxCfh/7FlZ3oykj8oayB+977gdEpUay9/XxSBkiljZ6iUxH78ssvB4XLOVQI5Fvwur1aNrj1aPJXnWOg0xdeZ29fQ2TTCXoTXYuFu9YfIDk6lPV3XkB8ZO+0aOlP/IrYU089xerVq/nlL3/p83VXlXvBwCKQb8HL87PbFQoeyCEgf0LSF8IbjOIuELh45KNCapvNfPjLmYNSwKADEXMlbtxxxx19Zoygb8hNj2HNjVM9EgoGcgjIn5D0hfAOZHEXCDqiqLKJrYer+PW8sUzOHLwtrPyK2KRJkwCYMWMGOp0OQCx67mP8eSA9EeIayKLljT8h6Yt7CKbnJBC48+buUuIiQrjjxyP625Rexa+ISZLEX//6V9atWweAw+FApVKxfFi1eeQAABe4SURBVPnyc+4lJggMfx7IUAtxCSERCLqGwWxj78l67rpkNNEDsGhvT+JXxP7xj39w4MABPvzwQ7KysgAoKyvj8ccfZ+3atdx22219ZeOQxZ8H0lshLrFIVSAIfhQKMFttOCS4Mi+tv83pdZT+Xti4cSPPP/+8LGAAWVlZPPfcc2zcuLFPjBvquDwQf0V9e1poXB7eur3aHj2vQCDoOyQJDp5pJC0mjAlD4MuoX0/MZrP5nANLSEjAZrP1qlGC/kEkMQgEg4OSagN5mbFDYnmUX08sJMR/HLWj1wTBS3c9PFcDyEBaoHRlX4FA0HUkJMp0xiHhhUEHntjRo0eZOnVqu+2SJGGxWHrVKAGc0plZF2Bn4P6ey+pKoslQS0oRCPoaq11CAoYn+O4fNtjwK2JFRUV9aYfAi03HmtildTYm7Slh6C2x6+3eXAKBIHBsdgcA6XGDq7yUPwZer2kBAIvGxRAfH9+jwtBbXlBXUuB7K12+v71RgWCgYHdIACQM0god3ggRG6DkJISyYFZuQPsGKgyD2QsSYUqBwEmbhg369WEu/CZ2CIKHQJMleis1/1zpiWSP5fnZLJmSMSgFerAjkn16FpcnFh02NHwUIWKDgGBf39Vd+90Hv4Eq0J0hBvDg//wONByShAKI0gwNERsadznICfYwYXftHwwhxJ5qihnMBPvnd6BhlyQiNCqUysG/RgyEiAUt3okMwTqIQ/eTPQbD4NdTTTGDmWD//A40HA6IDB06Q/vQudNBxmDwQs6VwTD4iaaYgp7G0eaJDRWEiAUpg8ELEQgEPY8kSWjUQyfdYejc6SAjWBMZBiMiOUMw0AhRDZ2hfejcqUDQRQIVJ5FdJxhISBKohkhSB4hwokDgl0DnHUVoVzCQkAC1EDHBUEGUa/JPoOI0GBJMBiri89l1JElCLcKJgoFOT83DiFCYf8S8Y/8jPp9dR3higqCgp1LsRShMMJARn8/uoRwCzTBdCBELUnrqj1uEwgQDGfH57DoKwO5w9LcZfYYQsSBF/HELBAJfKBQKLHapv83oM8ScWBDiPR8m1ikJBAJ3XI0xhwL9ImINDQ3cfvvtzJ8/n9tvv53GxsZ2+xQVFXH99dezcOFCFi9ezGeffdYPlvYPRZVNrNlT61eUvCe7xeS3QCBwoVCAzSE8sV7l9ddfZ+bMmWzbto2ZM2fy+uuvt9snLCyMZ599ls2bN/O3v/2Np59+mqamoeFprNurZecpg19R8u6dJXppCQQCFwrAKjyx3uXLL79k6dKlACxdupTt27e32ycnJ4cRI0YAkJqaSkJCAjqdri/N7DeW52dzSU6UX1HyTv0eSKngIrQpEPQvCoUC2xCaE+uXxI76+npSUlIASElJ6VScCgoKsFqtDB8+vNNzm81mioqK/L7e2tra4esDhZ+dFw0N5QO+srn381yzp5adpwzo9XpWzkzuR8vOEizvubCzZxlMdubm5nbhjBKtVmtQ3HugdHT/vSZit912G3V1de2233fffV06T01NDatWreLZZ59FqezccQwNDe3whouKirr4gegfgtXOlXHDiB9gFRaC9VkOVHrDzt6ozDFUn6dSoURCGRT33hP0moitXbvW72uJiYnU1NSQkpJCTU0NCQkJPvczGAz8/Oc/57777mPKlCm9ZOnQpLfK+YjU/6FBT39+RH+8nkOhEHNivc6cOXPYuHEjABs3bmTu3Lnt9rFYLNx9990sWbKEK6+8sq9NHPT0dUajmCvzj+vZnNKZ+9uUgOnpz49ITuo5FDCk5sT6RcRWrFjB7t27mT9/Prt372bFihUAFBYWsnr1agC2bNnCd999x4YNG1iyZAlLliwZVDHe/qavBw2xDMA/rmez6VjwCHxPf356MjkpGL8U9ChDzBPrl8SO+Ph4/vGPf7TbnpeXR16eM5TgEi5Bx3Q3rNPXYT9RA88/rmcyK8Xez5YEzkAOG7u+FOizw1kwq7+t6XuGTtVEJ6LsVJATLHMJA3nQ629cz0ZEGnqGYPxS0NMMnWCiKDsV9HQU1hHzUIKhiOtLQU5CaH+b0m8IERMEDR3NJfTFPNQpnVkIpUAwoFCABI1GS38b0icIERvE9OTkuz+vbtOxJpGwIRAMMOwOiWazrb/N6BPEnNggpifnofzNvS0aF0N8fHyHQilazAsEgt5CiJhAFplZo5LYfaLOp9j4yy7MSQhlwayOKwMES/KJQDA4kBhCjZ2FiAUbveHVuERm36l6qhqda2u8xeZcvDqRXj+0EZ543+KQIEQ1dGaKhIgFGb3h1cgpyW6eWE8ylNLrxYDdHuGJ9y2SJBGiGjqumBCxIMPbq+mJQdNdZBZMTu8ZQ4coYsBuj/DE+xbhiQkGNN5ejRg0BxZiwG7PUPLEBwYSiVEaokOHxvA+NO5yECMGzYGF+4AtQouC/kCSICYshNgITX+b0icMHZ9zkOFatwUMmK7OAk9E0WNBf+CQIFyj6m8z+gzhiQUpIow48BFesqA/cEgS4SFCxAQDHDFADnzEXJCgPxhqIibCiUFKT/ZfGmiIwsUCQfcZauFEIWJBSLAO8oHaLeaSBILuY3c4K3aIAsCCAUuwDvKB2i1a1QsE3UeSoLbZIgoACwYuwTofFqjdYi5JIDg3wkKGjn8iRCwICdZBPljtFgiCDZHYIRD4IVjn4wSCoUSYEDGBwDfBOh8nEAwlhIgJgg5vD6m3PKbl+dnMHpuE3mgR3lg3EJ6soC8YSnNiQ+dOBzneHlJveUy56THER2jYVVwnvLFuIDxZQV9w6bhkUQBYEFx4Z/71Zgajx7kbynv8/IOZYM0sFQQX49JihkxIUYjYIME78683MwE9KrULEesSIkNT0NsoFWJOTCAQCARBiko5dLo6gxAxgUAgGFQoFULEBAKBQBCkCE9MIBAIBEHLENMwIWICgUAwmFAOMRUTIiYQCASDCDEnJhAIBIKgRYiYQCAQCIIW1dDSMCFiAoFAMJgQc2ICgUAgCFoUIpwoEAgEgmBlaElYP4lYQ0MDt99+O/Pnz+f222+nsbHR774Gg4GLLrqIJ598sg8tFAgEguBEiFgf8PrrrzNz5ky2bdvGzJkzef311/3u+9JLLzFjxow+tE4gEAiCmCGmYv0iYl9++SVLly4FYOnSpWzfvt3nfocOHaK+vp5Zs2b1pXkCgUAQtAwxDeufViz19fWkpKQAkJKSgk6na7ePw+Hg2Wef5U9/+hN79uwJ+Nxms5mioiK/r7e2tnb4+kBB2NlzBIONIOzsaQaTnbm5uQGfz2azB8V9d4WO7r/XROy2226jrq6u3fb77rsvoOPffvttZs+eTXp6epeuGxoa2uENFxUVdekD0V8IO3uOYLARhJ09zVC1Ux2iDor77il6TcTWrl3r97XExERqampISUmhpqaGhISEdvt8//337N+/n3feeYeWlhasVisRERE88MADvWWyQCAQBD0inNgHzJkzh40bN7JixQo2btzI3Llz2+3z/PPPyz9/9NFHHDp0SAiYQCAQCDzol8SOFStWsHv3bubPn8/u3btZsWIFAIWFhaxevbo/TBIIBIJBgXqIVezoF08sPj6ef/zjH+225+XlkZeX1277smXLWLZsWV+YJhAIBEFNdFhIf5vQp4iKHQKBQDCIGGJVp4SICQQCgSB4ESImEAgEgqBFiJhAIBAIghYhYgKBQCAIWoSICQQCgSBoESImEAgEgqBFiJhAIBAIghYhYgKBQCAIWoSICQQCgSBoESImEAgEgqBFiJhAIBAIghYhYgKBQCAIWhSSJEn9bURPcvDgQUJDQ/vbDIFAIOgx1Go1Y8aMCWjfkpKSgPcdDAw6ERMIBALB0EGEEwUCgUAQtAgREwgEAkHQIkRMIBAIBEGLEDGBQCAQBC1CxAQCgUAQtAgREwgEAkHQMmhFbNeuXVx++eVcdtllvP766+1e//bbb7n66quZMGECW7du7QcLnXRm55tvvsmCBQtYvHgxP/3pTykvLx9wNr7zzjssXryYJUuWcOONN3L8+PE+txE6t9PF1q1bGTduHIWFhX1o3Vk6s/Ojjz4iPz+fJUuWsGTJEj744IN+sDKw5/nZZ5+xYMECFi5cyG9+85s+trBzG59++mn5OV5++eVMnz69z22Ezu2sqKjglltuYenSpSxevJivv/66H6wMUqRBiM1mk+bOnSudPn1aMpvN0uLFi6WSkhKPfcrKyqSioiJp1apV0pYtWwasnXv27JGMRqMkSZK0fv166d577x1wNjY3N8s/b9++Xbrjjjv61EZJCsxOSXLaetNNN0nXXnutVFBQMCDt/Ne//iU98cQTfW6bO4HYeerUKWnJkiVSQ0ODJEmSVFdXN+BsdOef//yn9NBDD/WhhU4CsfPRRx+V1q9fL0mSJJWUlEiXXnppn9sZrAxKT6ygoIDs7GyysrLQaDQsXLiQL7/80mOfzMxMxo8fj1LZf48gEDvz8/MJDw8HYMqUKVRVVQ04G6OiouSfTSYTCoWiT22EwOwEePnll7nzzjv7rapLoHb2N4HY+f7773PzzTcTGxsLQGJi4oCz0Z3NmzezaNGiPrTQSSB2KhQKDAYDAM3NzaSkpPS5ncHKoBSx6upq0tLS5N9TU1Oprq7uR4t801U7P/zwQ2bPnt0XpskEauP69euZN28ezz33HI8++mhfmggEZueRI0eoqqri0ksv7WvzZAJ9ntu2bWPx4sX86le/orKysi9NBAKzs7S0lFOnTnHDDTdw3XXXsWvXrgFno4vy8nLOnDlDfn5+X5knE4id99xzD59++imzZ89mxYoV/fI3FKwMShGTfFTS6g/voDO6YufHH3/MoUOHuPPOO3vbLA8CtfHmm29m+/btPPDAA7z66qt9YZoHndnpcDh45pln+O1vf9uXZrUjkOd56aWXsmPHDj799FNmzpzZLzYHYqfdbker1fLWW2/x/PPP8+ijj9LU1NRXJnbp72fz5s1cfvnlqFSq3jarHYHYuXnzZq6++mp27drF66+/zoMPPojD4egrE4OaQSliaWlpHmG36urqAemeB2rnN998w2uvvcarr76KRqPpSxO7/CwXLlzI9u3b+8I0Dzqzs6WlheLiYm699VbmzJnDwYMH+eUvf9nnyR2BPM/4+Hj5fb7uuus4fPhwn9oIgdmZmprK3LlzCQkJISsri5ycHEpLSweUjS4+++wzFi5c2FemeRCInR9++CFXXnklAOeddx5msxm9Xt+ndgYrg1LE8vLyKC0tpaysDIvFwubNm5kzZ05/m9WOQOw8cuQIjz32GK+++mqfzzkEaqP7wLVz506ys7P72MrO7YyOjmbfvn3s2LGDHTt2MGXKFF599VXy8vIGlJ0ANTU18s87duxg1KhRfWojBGbnvHnz2LdvHwA6nY7S0lKysrIGlI0AJ0+epKmpifPOO6/PbHMnEDvT09PZs2cPACdOnMBsNpOQkNAf5gYd6v42oDdQq9U89thj3Hnnndjtdq655hrGjBnDyy+/zKRJk5g7dy4FBQXcc889NDU18dVXX7FmzRo2b9484Oz805/+hNFo5N577wWcH/bXXnttQNm4bt069uzZg1qtJiYmhmeffbbP7OuKnQOBQOx866232LFjByqVitjYWJ555pkBaedFF13E7t27WbBgASqVigcffJD4+PgBZSM4Q3ULFizotymFQOx86KGHePTRR1m7di0KhYI//vGPA3IKZCAiWrEIBAKBIGgZlOFEgUAgEAwNhIgJBAKBIGgRIiYQCASCoEWImEAgEAiCFiFiAoFAIAhahIgJBgRffPEF48aN48SJEz163u3bt3e5qn5BQQG33HIL8+fP5+qrr2bFihUcO3asR+0qKiryqFS+Zs0a3njjjQ6P+c1vfsPbb78t//7DDz+wePFibDYbzc3NPPjgg8ybN4958+bx4IMP0tzcjNls5oorrvCw///+7/947LHHevR+BIL+QoiYYECwadMmpk2bxmeffdaj5+2qiNXV1XHffffx61//mm3btrFhwwZWrFhBWVlZu31tNlu37fIWsUB4+OGHeeONN9DpdDgcDp588kl+//vfo1arWb16NVlZWWzfvp3t27eTmZnJ6tWrCQ0N5ZFHHuGJJ55AkiSqq6t57733+qVtikDQG4h1YoJ+p6WlhSuuuIJ//vOf/PKXv5T7u9XU1PDrX/8ag8GA3W7n8ccf57zzzmP16tUcOnQIhULBNddcw2233cbp06d54okn0Ov1hIWF8Yc//IHGxkZ+8YtfEBUVRXR0NGvWrGHnzp28++67qFQqRo8ezYsvvuhhy0svvYRSqeRXv/qVT1sfeughYmNjOXLkCBMnTuQXv/gFjzzyCGVlZYSHh/Pkk08yfvx4Fi9ezPr164mOjiY/P5+HH36YpUuXsmrVKpYsWcKjjz5Ka2srqamp/PznP+fEiRNUVFRw5swZKioq+OlPf8qtt97a7vrr16/n0KFDTJo0icOHD/P000+j1Wq5/fbb+eKLL+TagHa7ncsuu4y1a9cyfPhw7r33Xi655BJ27tzJpZdeytKlS3v4XRQI+ol+aQAjELixceNG6eGHH5YkSZKuv/566dChQ5IkSdIbb7whvfLKK5IkOXsyNTc3S4WFhdJtt90mH9vY2ChJkiTdeuut0qlTpyRJkqSDBw9Kt9xyiyRJkvTb3/7Wo1/crFmzJLPZ7HGsO3fffbf0xRdf+LX1t7/9rbRixQrJZrNJkiRJTz75pLRmzRpJkiTpm2++ka666ipJkiTpd7/7nfTVV19Jx44dk5YtWyatXr1akiRJuuyyyySDwdCuZ9hf/vIX6frrr5fMZrNUX18vzZgxQ7JYLO2ub7fbpZ/85CfSpZdeKul0OkmSnD3c7rrrrnb73nXXXdL27dslSZKkqqoq6aKLLpKWL1/u994EgmBkUJadEgQXmzdv5qc//SkACxYsYNOmTUycOJG8vDweeeQRbDYb8+bNIzc3l6ysLMrKyvjDH/7AxRdfzI9//GNaWlr4/vvv5dJcABaLxee1xo0bxwMPPMDcuXOZN29ep7Zde+21GAwGZs2aJbfHuOKKK2SPZ//+/axZswaAmTNn0tDQQHNzM9OnT+fbb78lIyODG2+8kffff5/q6mpiY2OJjIz0ea2LL74YjUZDQkICCQkJ1NfXe7TwAFAqlVx//fUcOnRILvEkSZLPEkXu21NTU8nPz+eSSy7p9J4FgmBCzIkJ+hW9Xs/evXt59NFHmTNnDm+88QZbtmxBkiTOP/981q1bR2pqKg8++CAbN24kNjaWjz/+mBkzZvD222+zevVqJEkiJiaGjz/+WP63ZcsWn9d7/fXXuemmmzh8+DDLli1rN681evRojhw5Iv/+wQcfcO+998oNCwG5SSn4b7Nx/vnns3//fvbv388FF1xAQkICW7duZfr06X6fhXuHApVK5XfOTalUejRzHTNmDEeOHPFo3eFwODh69KhH8WDv4wSCwYD4RAv6lc8//5ylS5fy1VdfsWPHDr7++msyMzPZv38/5eXlJCYmct1113HNNddw+PBhdDodkiRx+eWXc++993LkyBGioqLIzMyUhUuSJI4ePQpAZGQkLS0tgHNgr6ysJD8/n1WrVtHc3IzRaPSw5+abb2bDhg0cOHBA3tba2urX/vPPP59PPvkEgH379hEfH09UVBTp6eno9Xq5svvUqVP5+9//zrRp09rZda5kZ2czYcIEXnnlFXnbK6+8wsSJE/ulo4BA0JeIcKKgX9m8eTM/+9nPPLbNnz+fTz/9lClTpvDGG2+gVquJiIjg2Wefpaamhocfflj2Ou6//34AnnvuOR5//HFeffVVbDYbCxYsYPz48SxYsIDf/e53vPXWW7zwwgusXr0ag8GAJEncdtttxMTEeFw7OTmZF198kT//+c9UV1f//3bt2IRiEAqj8N+mE7JHsAhkAktxDAuzQGoRUjlAljWd1evSvAvnawW52ByQq3Vd5ZxTKeXn/Od56rouxRi1LIvu+55n27bNOfd9V+99Ruw4Dj3Po5SScs6f37G1plqrQggaY8h7r9ba53uBf8d2IgDALL4TAQBmETEAgFlEDABgFhEDAJhFxAAAZhExAIBZRAwAYNYLe7NnuDmT+I4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Only use some of the data-points.\n",
    "mask = (df_signals[ASSETS_GROWTH_YOY] > 0.2)\n",
    "df = df_signals.loc[mask]\n",
    "\n",
    "plot_scatter_fit(df=df,\n",
    "                 x=ASSETS_GROWTH_YOY,\n",
    "                 y=DIVIDEND_GROWTH_1Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We get a very similar plot when we compare the YOY Assets Growth that are greater than 0.2 to the FUTURE 3-year average Dividend Growth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = -0.03 * x + 0.14 (R^2=0.00, p=4e-01)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df,\n",
    "                 x=ASSETS_GROWTH_YOY,\n",
    "                 y=DIVIDEND_GROWTH_3Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sales Growth\n",
    "\n",
    "Let us now consider if the TTM Sales Growth can predict the FUTURE 1-year Dividend Growth. There is a positive correlation but the fitted line only has $R^2 = 0.03$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.24 * x + 0.09 (R^2=0.03, p=2e-102)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=SALES_GROWTH,\n",
    "                 y=DIVIDEND_GROWTH_1Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also try and see if the TTM Sales Growth can predict the FUTURE 3-year average Dividend Growth. Once again there is a positive correlation but we get a very low $R^2$ near zero."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.21 * x + 0.09 (R^2=0.05, p=9e-98)\n"
     ]
    },
    {
     "data": {
      "image/png": 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nxB5EiY2g0pmgMVhgs1OwOSjYHQ5Y7RTsDgoGix0DejP69RYMDFugHjajRa1Hc58ew+ZrsQgRn4N0CR9TMyRITxJAKuSiPEeEgqwUpI0oLx6HzcSraKx2CjIxHywW6ZJBiA14HDakQh6TASm2D+HO2bmjlN3copRR/7ulJA1gOWO7eosdBrMdZqsNQ2Y77A4KDsr5wwJGvmvOG0KLzYF61TAMFhuGzTbozTbwuWz0DZtxuWcIA3qLu4X4ZW9I58YZsfooULDaqYBeI+FzIBPzkCrmM8qN+RHzYBzUodnaBZmIB4mAC46LpUlbnRw2C1MzJGAThRhWiBID0K014nt/OsrEofwh5LGRLhFgSoYY987Lx7SsJCZDzGZ3jOr0PjODj8tqM3pdEjNIvIqQyBitjgCUHQtzRv7HHskruWlq+ijvwy0laeC6xOAsNgeMVhtaO/vAEyfDQTm/s1abAxe7h8ACwOU4FcaNU1Ih4nPB5bDA57DB47Bhdzjwbes1ORwUhXlFMljsFIwWO0xW+8hNqwXnO7QwWuwwWp0/UiEXVjsFrdGKxt5haI1WaI3Wa3HGGvWY1+Zf75iOdZWlgV9MwpiwKIoK7FYkTmhsbITNNjpTi0AgEOIVLpeL0lKi/LyRcEqMQCAQCJMHkitLIBAIhLiFKDECgUAgxC1EiREIBAIhbiFKjEAgEAhxC1FiBAKBQIhbiBIjEAgEQtxClBiBQCAQ4haixAgEAoEQtyScEmtsbERra2u0xWCIJVmA2JInlmQBiDz+iCVZACKPPxobG6MtwoSScL0TbTZbTLWdMhpja2xKLMkTS7IARB5/xJIsAJHHH7G0/k0ECWeJEQgEAmHyQJQYgUAgEOIWosQIBAKBELcQJUYgEAiEuIUoMQKBQCDELUSJEQgEAiFuIUqMQCAQCHELUWIEAoFAiFuIEiMQCARC3EKUGIFAIBDiFqLECAQCgRC3ECVGIBAIhLiFKDECgUBIIAwW0gCYQCAQCHGK2eaItggTSlSVWHV1Ne68807cfvvt2LJly6jnd+/ejYULF+Luu+/G3XffjQ8//DAKUhIIBEL8QFHRlmBiido8Mbvdjpdeeglbt25FdnY27r//flRWVmLatGlu261YsQIvvvhilKQkEAgEQiwTNUustrYWcrkchYWF4PP5WLlyJQ4fPhwtcQgEAoEQh0TNElOpVMjJyWEeZ2dno7a2dtR2Bw8exLfffovi4mI8//zzyM3N9btfs9kMiqKgVCrDLnMomEymmJEFiC15YkkWgMjjj1iSBZh88igUioC3tdlsMXVtwoG/84+aEqO8OG5ZLJbb4yVLlmDVqlXg8/nYuXMnfv3rX+O9997zu1+BQAAguDc9kiiVypiRBYgteWJJFoDI449YkgUg8viDw+HGjCwTQdTciTk5Oejp6WEeq1QqZGVluW2TmpoKPp8PAFi9ejUuXrw4oTISCARC/DG5MjuipsTKysrQ2tqK9vZ2WCwW7Nu3D5WVlW7b9Pb2Mn8fOXIEJSUlEy0mgUAgxBWTS4VF0Z3I5XLx4osv4sknn4Tdbsd9992H0tJSbNq0CbNnz8bSpUuxbds2HDlyBBwOBzKZDBs3boyWuAQCgUCIQaKmxABg8eLFWLx4sdv/nn76aebvX/7yl/jlL3850WIRCARC3OKYZKYY6dhBIBAICYS3pLlEhigxAoFASCAck8wUI0qMQCAQEgj75NJhRIkRCARCIuEg7kQCgUAgxCs2O+liTyAQCIQ4xUZiYgQCgUCIV2yTLChGlBghplB267B+Tx2U3bpoi+KVWJePQLA5KJht9miLMWEQJUaIKbbXtOGTc13YXtMWbVG8EuvyEQgAcHkS3WRFtWMHIf5RduuwvaYNaxbKociVjnt/axbK3X7HGrEuH4EAAA2qYVxfmBptMSYEYolFEGW3DptP9iW06ynclokiV4oN95SFRSGOB19uw1iRj0DwR4fGGG0RJgyixCLI9po2HGsZTmjX05qFctw9Jy8mLZPxxK+I25AQr7DZQOfg5FFixJ0YQdYslEOj0cTkAh8uaMsklqBdnBqDBdUNagAIWkbiNiTEK3wOGx0aQ7TFmDCIJRZBFLlSVN2cSVxPYSAYq4q2ogCEbCX6cxuSDEVCLMPnstE+YITWYIm2KBMCscQmCbR1UpFlRzwOLndVTGNZVa5WVCRuIIKRhUCYaPgcNrq1RmgMFsjE/GiLE3GIJRZFJvKOnl5499bHp/UQTOzNmxUVzmvtKQuxzAixBI/DhoMCurSmaIsyIRAlFkXGmzzw8qcXUbp+P17+9OKY29IL76oZ8enaHG9WYKDXOhCF5ClLOJNAthxvRvnvP8eW483j3pc//J0nUcrxDZ/rXNYnS1yMKLEoMt7Mvndr2mC1U3g3gMWTXniL0wQhHSveCfRah6KQwpmh+ebRJuhMNrx5tGnc+/KHv/MkmZnxDZ/jXNbbByZHhiKJiUWR8Wb2PbZQjndr2vBYnGbQfdk6jKoDx/DMshlYUZ57LW5XkoETzeqwxrQCvdahZCWGM0Nz3ZJpePNoE9YtmQYgtMB8IAXo/s6TZGbGNxw2C0IeG+2TxBIjSiyOeeGuWXjhrlkBb08XX1el5MdExuS2cxq0a614/VA9VpTnMhbAqZZ+9GjNAAJLnAhn15BolwysXVyCtYtLAABKpTKkfQSSeOLvPKN9DQjjg8UC8mQi9A2Zoy3KhEDciZOISBdfBxtLeXROKqZlSfDMshkArrnlnlk2I2D3nLJbh6qdZ7D7TGfQ5xWO2M/+2m4se/0Y9td2h7yPcBPLBeiEyENRTmtsQE9S7AkJRqSLr4NNPb91ShLWLl/APHa1AFaU5wZ8zC6NCfmpwqDPKxB599d24/VD9YzL05PXD9WjqVfPWJOxgKclFe7+loTYJ0nARZd2csTEiCU2iYh08bU/CyBSGW9rFspxz7x8bH54XtDnFYjFsvGAEk29emw84N2198yyGW7WpCexYKmRRI3JR5KQC43eCopK/NliRIkRwoa/NPhILaTj6azh+totx5tx//sto1Lb5elisEZ+e6M4U4Lp2cnYW9fl9Tiullq0IO7FyUeSgAuL3QG9JfHnihElRvBKuC0nXwtpJGuSaMX5m921Y9ZevXm0CXorNSq1ff3K6/Cjm4qwfuV1Po9x8KIKBy+qvCrosSy1iYB03p9csFhAcYYEANCrS/yCZxITmyQE23Yq3K2VfGW8BXucYOI7tML8+Gwn9BY7/nyoAbtOt3uNb61bMg2bDtWPpLaPLbfrMTQjPeq8WTorynNjJlZGmBxQFNAz0q1DMwn6JxIlNkmglYVGLsKKirG3n6haoWCPE4zSoxWQPE2MN482gctm+UzCWLu4BLdmWaBQlAQlvyJXircemR/w9iTJgjARcNgsAIDF5oiyJJEnqu7E6upq3Hnnnbj99tuxZcsWn9t99tlnmDFjBurq6iZQuvjG000XbNupSLug6Jo1AAEdh27HJOKyg47vrF1cgtrf34mXf1g2bteev0SNQFyjJMmCMBFwR7p2WO1EiUUMu92Ol156Cf/7v/+Lffv2Ye/evWhqGt1qZ3h4GNu2bcP1118fBSnjF8/FMtbaTm2vacORK8Oo2nkmoHgY3Y5p1+kOv0rPn5JZUZ6LQ8/cNi73nr9EjUAUFEmyIEwEXGKJRZ7a2lrI5XIUFhaCz+dj5cqVOHz48KjtNm3ahCeffBICQWwsvvFCrC+WFSUZ4LCc/d0CsUrWLZkGqZCL1fML/Fo7kc4GXD2/cESOwlHPBXLNSZIFIdKwWMDMnGQAAJed+Ll7UYuJqVQq5OTkMI+zs7NRW1vrts2lS5fQ09ODJUuW4K9//WtA+zWbzaAoKuSWPeHGZDJFTZY1M7nAYCeUg50xIY8re7/rg9lGAaAgsg2PKdOtWcCtDxZh88k+HGoewsdn2vH0LZm4dUqS23arFRJsM1uwWiFh9tkyYMbeeh1WzZD6tUQDuTbnmvtgs9txrrkTyqzRQXNv1zxQGTy3iZX3Coidzw3NZJNHoQh8CqDNZsfpxnYAQFdXB5RUf6TEmjD8nX/UlJi3IjwWi8X87XA4sHHjRmzcuDGo/dIWWzBveiRRKpUxIwsQO/JUpeTjeMtX0FspHGs344UHApOpKiUfX71z0ulaVOrdOn4AgEIBrF3u/prte+pQ3WZEamoqVlSMPs61zE0WVsz1L0dVSj5SQ0jM2L6nDoev6PHVVSP+eG+5V5emp5yBvldjdRUZD8Fcm4kkVj7HNLEkD4fDQXZGBgAtcvLyoZiZHW2RIkrUbM2cnBz09PQwj1UqFbKyspjHer0eDQ0N+PGPf4zKykqcO3cOTz31FEnuSBAUuVI8fUtm0IkWilwp/nhveVCvG8vNF8zA0GDdgXSyhzxNDAdFQWey+XR1huoCjqQLNd6HqU5WuBynQWC2Jn5MLGqWWFlZGVpbW9He3o7s7Gzs27cPr732GvN8cnIyTp06xTx+9NFH8eyzz6KsjHTXjgcCsQ48eyf6wzU1Pdjaq0BqvQCgIis83Q1cZaWVQI5MADaLBamQ41P5hto9/pllM5hrHW7CfW0IE4OAywGASdGxI2pKjMvl4sUXX8STTz4Ju92O++67D6Wlpdi0aRNmz56NpUuXRks0QhgId2Ncb/Vh4aq5opWHZ0wjmP27Ku0TzWpGVkYJRGBGGk0kC6p9XRtC7MJiAfPlKQAAg8UWZWkiT1SLnRcvXozFixe7/e/pp5/2uu22bdsmQiRCmAi3deCtKDrQwudQlV0whdWuSnvzw/MYWUPpzE8gjAeKAup7hgEAw2aixAiTmPFYOuG2Dry52gLt9hFqC61guom4Ku1EH4USyUQSQnjgcVhgswD9JFBiiV9EQAiZWO8u4Zlk4atjRqgJE8EkcfgrpA70OsbC2JZAiIXO/OEgks2now2LxYJUyIPGYI22KBGHKLE4ZSK+gNEqmA713Hwpi2gXGAd6HeNFOcRCZ/5wEOs3aeMlTcJH35A52mJEHKLE4pSJuLuP1uIf6uKyZqEci6ZnQGOwBKUA6Wv0Zeuwz+fGYx0Feh39KQdfij0a1kQ42nfFArHe1SZUWCxgblEK0iR8dA8m/nRnEhOLUwKN14Q7S3AiCLWDviJXilQxH5+c60KqmB9w/Iu+RtvMllGF0hN5/VzjiHSD5KqUfChypT7jesx0AoMFqWJ+wsTdJoJQSxpiHYoCzl4dhN1BoW+YWGKEGCUcd/eRJpxWQqD7CuXumr5Gj85J9fmcr+vnzVILx3lvr2nDsZZhxhr1dV70/wEktGuMEDzJQi4G9Bav3ZESCWKJJTjRHMoYalbg5iONOHhRBY3Bwszq8rcvOltu9fxCtA0YgrZG6GukVCqvtVlyqes69MxtPl/rzVIL5LzHylhcs1AOjUbDKC2mXmtEQdKvc/0/bYkRCACQJOTBaqegNVqRIuZHW5yIQZQYIWLQC6o8TYxlrx8bV0q2PxcjrUjePNoEx8hNZyBKc8vxZrx5tAnrlkzD2sXOYZi0Aq1u6GMyu/zty1s9XCDu0LEUnSJXiqqbM0cpOF+vS1TXGCF0koXO5b13yEyUGIEQCvTCuuz1Y0HFlaoqS0dZFZ6LtGutEq1IaEusoiTDzVrxxabDjdBb7PjTZ5dxrmMQq6ZwmOfk6WIsmi4Zc1+hWrqhxv0mauI2IX6hEzs4bOCDb9vR0jeM6dnJ0RYrYhAlluDEQmFqsN07ArEqXN14nply6/fUBeTGnJ6djLPtg7BTwMGLKsCchKrlc9wSJALdlyuBuBNDtZyIxUUYCzqxg06v70jwDEWS2JHgxELtEZ2SDSCkdHVviRK+Ei6U3TpoDBYsmp4xprXyyr1lWFGWg+9NS8cds7KxaoYzxkQ37lV26yBPE4PNcrpEA6WiJAM5MgEqSjIC2j5eipwJ8QXtTuwfHj33LpEgSizBiaXC1FAVqre6MV+1Sttr2lDdoEaqmD9mcociV4q3HpmP7U8uxFuPzGeGVboe753qZuhMNrxT3RywvCea1ejRmnGiWe31eU+lHAs3GokAuRlwR8Blg8dhoV9PlBghjolEYWqoKeShKlRPy+blTy+idP1+vPzpxVHbuqaih7qoue7DMDLKwhDESGFrHt0AACAASURBVItA55fRSjmQ60IW6LEhNwPusFgsJAt56E/wWjGixCYZLQPmsNQwhVKTFKpC9bRs3q1pg9VO4V0vx3etnwt1UXPdxy+WTYeEz8HMHGnA12ysGj5PJRfIdSEL9NjEktchmtCJHXOLUpAjFUJjIJbYKGy2xO+MnKjsrdeNuyh2otv1eB7vsYVy8DgsPDby2JdlGMqi5mnxrF1cgh/OzUdj7/CoaxaqRRpKOy+yQI9NorTDGi90YsfZq4NgsQD10CRVYg8//DDz969+9Su35x544IHISUSIKKtmSL0qoGAW5Inuqeh5vBfumoXGDSvwwl2zoOzWoWrnGew+0zlKybguaoGenzeLx5fSjkQDWV9yei7QidyBnRA+koXcyRsTMxqvpWU2NTW5PZfobUwSmeI0gVcF5G9BHm88JpIL7oZ9SjT36iETcbFmoXzUsbYcb0b57z/Hb3bXBaRwvFk8vpR2JCzSzUca8cG37dh8pNHvdrHQgT2Q95XE8qJLspCHYbMNJmvgMd14w6cSY7FYPl/k7zlCfOJvQR5vPCZcC663RbNtQA8KAI/LdmuUSx/rzaNN0JlsaFANBaRwgnFJRXPEi6/3ayIttEDeVxLLiy7JAmeafSKPZPFZ7KzT6fDFF1/A4XBAp9Ph4MGDAJxW2NDQ0IQJGI+49sWLF/wV0QZbrOxJMLVW/noKbq9pw54znTjV0o/ND89j9g0KeP77CgCjO1qsWzKNaS116/TMqExYDqbgvKqylPm7ZcAMhY/tfL1fofarDIVAuoeM97NDCB46sQMArHYHdp/tRO+QGYVB1DrGEz6V2I033ogjR44wfx89epR5bsGCBZGXLI5xXUjWzIz/pihMg1yP5rP+cG2kS1tDu063Mz0KfeFvEV6zUI5TLf3o1JiYu/9z7VrcPSePUQ6ei/vaxSXMMcfqvtEyYMb2AM8vGIIZ5+I6TgZmEVZUBH6cYAq9w0Eg3UOCacsV7e4yYzVljhfoxA4AUI+k13drjQBGT2lIBHyusBs3bpxIORIKtzvUwc4oSxM+grnLp7c91dIPi80BqZAb0N24v7t7Ra4Umx+eN8rK9bdguy5MY1kOe+t1qG5zxoLDacUEa43Q8lVk+Y5jeFtw6ULvu+fkxeUiHO3ZdxNpxU4UaSONf9sHErf1lF8zwW63Q6vVIi0tDQBgsViwZ88e/O1vf8OBAwcmRMB4xPUOVZlASiyY5rPMQuwy0oReWJnRKQoJFB7+srHu7lv69DjV0o+KkgysKM+9dp193EV7Lkz+9r1qhhSpqalht2L8WSPe5GbGqyiVPvfpbcGN9+bA0XY9xvv184aAx4FMxEO7xhBtUSKGTyW2b98+vPjiixCJRJgyZQrWrVuHZ599FmVlZfiP//iPiZSRECY8pwUHSzDNZ1239VzA/U1S9jYexVX+53bXQmeyjbpb93UXHcjCxLg+syJ3B+5tTpm/ic1j4e284r05cDRn3wHxf/18kSsTon1gEiqxt99+G7t374ZcLsfFixfx4IMP4s9//jNuv/32iZSPEEboacGpNW1R/bIyo1MUklHP0eNRNh1udFNiW44349WD9XA4KK+uSV/KynNh8uWG++RcFzTy4GJQweDqXu3ROuMUG+4pGyV3oElBibbg+rt5CZZox9aijWtiBwAcvChEs3oYWoMFsgScK+YzxZ7H40Eud36RZs2ahYKCAqLAwkg06mfWLJTjtuKkgN0lkUrXptPYb52SNOo5eu6R5/yjTYcbYbVTYLGAD35686jFKdB0d29p4XRvxjm5IgCBn3cw14dOiV89v9CtD6SrMlq/pw6bjzRGvf4LuFZft+V44I2P/THW551O/nnzaJPX54Nhsqf1u3bsOHt1EA6KQtegCVqTNdqiRQSfSqy/vx9bt25lfgwGg9tjwviIxhfN17RgX0xkRwqaV+4twyM3FeGVe92tjOnZToXHZrGwYd+lkBWrt/oqujfjuW5n8DvQ8w7m+tAjXnadbkeXxjSqw72rW3EiW3r5glYqrx6sD8tNzFif93VLpkEq5GLdkmnjPhZp0eVOqoQPu4OCOkFrxTi///3vf+/tCb1eD6vVyvzMmjXL7fGNN9447oNXV1dj7dq1eO+992AymTB//ny353fu3Inf/OY3+OCDD/CPf/wDc+bMYZJMfKFWOxeHzMzMccsXDtRqtVdZMiQC1Kt0eGbZDJRmJ0PZrcMbhxqQlyJCZrIgpGPtr+3GUztOI0MiQKmPSa6+5PFE2a3D8YY+yNPF+MmtU0OWyZM3DjXgk3NdsNgcKM9gj5IlM1mApYrsUce7vjAFH5/thMnmwNWRTKuliuwxj+d5TbztPy9FBIvNgWVyPkqLcpjHaxbK/Z6353ZjXf/f/eMCvmvVIFsmxPqV13mV4Se3TsWDC4qQmSwI+L0KhGA/XxwWCzUt/QAAu4Py+l4Fg+fn3ZP5U9Lw1G3TMH+K/+83jb9rU5qdjB/fPMXndyAShPO9Gi+q3j70Wa+9x1Y7hTNXNbhhShpm5cmiKFlk8BkTW7duXUQPbLfb8dJLL2Hr1q3Izs7G/fffj8rKSkybdu1O7K677mJ6OB4+fBgbN27EX/7yl4jKNVF4BrHDkd4bSoqyv6y+SKRrh1p+oMiVYm5RCr5q6ke2VBCwpRLINaGtpM0HzqF4qi7geJPndoEci8VioSxfNuqa+jpmuGqXgv18rV1c4lYcPt5SkWgnbUxmcmVCAEBjb2I2qfCpxF5++eVR/0tNTcVNN92EG264YdwHrq2thVwuR2FhIQBg5cqVOHz4sJsSS0q6FjMxGo0J3e4qHOm9waYo081zuzQmAMFn9XkSSEB9POUH61de53NB97XYB3pNwpH0MtaxqipLkSrmB3VNw1W7FMr7mailIomOZ2IHAOTJhGjp00dJosjiU4nNmjVr1P+0Wi1effVVLF++HI8//vi4DqxSqZCTk8M8zs7ORm1t7ajtduzYga1bt8JqteLdd98d1zFjmXBkmwVSj1SRZWdaGW2vaUOnxoT8VOGYWX3e9uWpMEKxBPfXdmPjASXk6WKsX3mdX2vDn0y+FvtALYA1C+XQaDSoKMkIuCuJ53kEo8B94Xpt/35hEB/XaTE9O3ncMTKm9iyIrivRJpSMxUTpujEeXDt20EzPTkZD73CUJIosPpXYPffc4/X/Dz30EB566KFxKzFvnfC9WVqPPPIIHnnkEXz66ad4++238ac//cnvfs1mMyiK8lsoOpGYTKaYkGXzyT4caxmGukiE4jSnPBVZdmiKxVg1QwoMdgZ8t03vS6PRoOrma3GA1QoJtpktWK2QBHTOJpMJGz+rQ7vWinaNEZsPnEPVzZloGTBjb70Oq2ZIUZzmP35DbzsnV4RFchEqsux+j+1v3z+Zm4z/+a7R67l92TqMbec0eHSOs3UP/TedYblxXzvatVZs3FeHYp77AhIMrtf2eMsQ9FagoUcb1PsT6P5dz28sovE53nSoBXorhU2H6nFrlvs4EV/yhHp+4yXS10fh2RXAD3a7Hd097lmghVIujjUYcPLMBaSIOOEWL+L4O/+gG/sJhcJxCUOTk5ODnp4e5rFKpUJWVpbP7VeuXAkfOShuCATOhSmYNz2SKJXKmJClKiUfqbQlNiKPAgipLorel+fdrkKBUcXL/lAqlXh+ZRle2nsRFIBVN5RCocjF9j11qG4zIjU1FSsqRl87ZbfObVQJve1b/zS6p6fnnfnmHadxsGkYEEjwlse+lUolqpaXuJ0b/frqxiG0a63YpXS6ZOi/1y53HvN5awpjiSkUY1t+viwG12ub99VF7Lqow7ol06BQjK92ytv+g7FUovE5fnoZn7HEPM/flzyhnt94iZXvOQBwOBzk5rh/Bmcn8bDtux70c9NwsyIvSpJFhqCUmM1mwyeffOLmBgyVsrIytLa2or29HdnZ2di3bx9ee+01t21aW1sxZcoUAMCxY8eYujVC8ATSyijYfYWDFeW52FvXhYMXVdhb14XiTMmYTWy317Th4EUVKIpCXopozG2DiSl5nhv9+jmFKRBw2Uy8yzP2FWzigmdHfs+WUwBw3+wUvPDAzcxrwlHEG09F0q7NmwMlns5vIpmRk4xkARdfN/djVfkkUWJz584d5d4TCoVYsGAB/vCHP4z/wFwuXnzxRTz55JOw2+247777UFpaik2bNmH27NlYunQptm/fjpMnT4LL5UIqlY7pSiTENr5iHDqjFXYHBZ3RGlBWZEVJBqob+mC1O9A/bEGqmA9FrtTrIu/aw3H9njqsKssLOLnCtSt8VWWpmzzjzbTz7MgfyMIb7Qa50YTEugLHW2IHKKC8UIbqhr6E69zhU4nt3bsX+fn5ET344sWLsXjxYrf/Pf3008zfL7zwQkSPTwgMfxZAMIuLr5ZSUhEPHDYLUhEvoCy6E81qaAxWLJqe4aaQvC3y9J255xiW/bXdqNp5xq9VE64yA19Nfr115HfFczTMM8tmYONnSuRIRVB262JqMY+0kknEDvORwltiBwCkiPg4oelHU98w5ssDq8eLB3x27Ih0nRghfvDXbSGYrhV01w2ZkIvy33+Ov19wftGqKktxx6xrhctjtY+i20StKstjtlV265AjFaIwVeQ1xZ3u1EFbZBsPKJlzojP2WgbMXl/jS8kou3X4+Y7T+PmO06O6Wrh2JvF1jRS5UlSUZKBq5xmv7Zj21uvcXreiPBeLSjNxrn0w6m2pPIlEdxdXxnovCGNTnOHsVXq+PfTEo1jEpyXmLXuQMDnxV/8UiOXEjF6ZXwiJgIsTTf2gAOys1eCFB9wHQaaK+W532q5WYHGmBNtr2qAxWNCjNeNEs5qxojYfaUTNlQHcMSvbq2X1ZUMfPj3fhUtdWjT26jGnUAYBzxnj8tUAeKz4Ch2bA+AmN92smHbG+7tG/lyE9GgY17T/WB0XEmm5SKxr/OTIhBDy2Dg7WZSYSqXyWvBMQ1x9iYU/d5C/pAW3glgf40bohXrX6XYAAAWABeDh8muTZn0tgq6L/E3F6fjwuw44KAfK8mWjtqUA1HVovbra6F6ADaphzC1KQVu/Ac8vV2BFeS6KM513qPQQSs9O8p7XhY7trZ5fwFiQrrK8ebQJVjsFHofFvM7XAux6g+Dpti1OE2BFhWKUKzQWF/NEVDKJFodjs1iQp0lwvl0bbVHCis/eiTt27MBdd92FrKwsrz+xkk7qSbz0TowWvuShexqqdCZ83dwfUg9Heh91XYM43TYIi82BpYpst755N0/NQL1Kh5fvLsMtudfeJ189E11fu3hGJnbUtMFOARqDBTYHxcg5NTMJJ6+oodKZYbU7kJciwhuHGmC2OvC3r1sxp0CGpr5h/EtlKaob1WjXGFHbMYh/+l4xc2ybXoPMzEy3/o61HVp8cq4LjaohvHWsCRkSAV45oITOZENdlxZvPDgXj99S7CY3h8XC+Y5B/GLZdHx/tu/i8zcONWDxjEz88g5nP8GndpxGU68etZ2DaO4dRjLbGlQvx3Dh2gPS5qDwxqEGRpZAX+fZtzAcvUFdmYjvlevnYKw+nbH0Pe/t60N+bjZyZcJRP0MmK4419KFyZhaEXDaEvPirGfPEpyWWkpLis+CZkHjQloTGYAk5gO5tmjMw2pKj/1YqB8dMG/d8bYqYj369BVY7hT1nOpnjbj7SiBypkOlu4Tq/q0tjQl6qEB/89GYocqWobuxDh8YIebrYKcfIHbfINoxjB45h9fzCUfGX6oY+tGuMeP1QPdYtmca4CzcfaWSSS+i7dX+p4fSx2voNqLnSD43BgrcecTa+pq2yHKnIzb050VaOp/Ub6Kw1f67ReEzMiFXX7Vj4SuwAAB7HmQbx4Xcd+OniqQmRpejTEtu9ezceeOCBCRZn/BBLzD/fNnTib6f7Rt0R09bI1Mwk5q5fPWwO6u6Z3kdpdrJXq8oTtVqNFw+2oalXj3qVDj++ecqYx+jTmXC2fRBsFlCULsZzyxXYsE+Jw5d70T5ghEpnwg3yNCyekQmLzYGKkgx816aBRm9lLLfzHYPIlgogFfEwNTOJWWDPd+vRO2RFa78e259ciMxkAXNOOVIhYxE+dFMRbr8uG3YHBZPVjoMXVQHdrQPX7u7NdjuGTTaUZCVh5UjdDt19XZErdeuqH0le/vQi/t9730FnsGDRDGezAU/rN1BZ/HWqd7Umg/1ceWMivle+vAPRkidQPLvYuyLgclDd2IdcmQiLp2dCKuJNsHThx6cSUygU6OvrY37UajVsNhuSkyduvEEoECXmnz8fasDBeg0stmsuN9fFxPWLG4g7ZTxuIrVaDcWUAtSrdCjLk+HZj2rBYbEwf0raqP3SrqoLXToMm+1IFnLx18dvhCJXij8faoDOaAMAmG0O1Kt0+OUdM7BUkY3dZztxsUuHgjQRnluuuJaMwQLqOnT4qqkPD95QBLGAA4PRiH6DHWUFMtw7r8BNVs/xHt6UfiDnb7Y6UNc1iB8tKEJBmvcxN57uzUjy/977DlY7hbouLf5laSkA93MNRhZ/I1CC/VyNRax9r2JJHn9KjMdh45vWAQh5HCwvy0kIJebTneitsFir1cJqteL111+P2ZgYwT90xpuryw3w7uIJxJ3iuY9gguEtA2ac6FVj88Pz8OA7J5nJvmsXl4zaL+2qyk4WMAMP6dR6eZoYoIA7r8vGscY+tyzKNQvlaOvXo63fgJY+PURcNsw2O8pG5iq19Rvw3O5a/PHeclRk2XGil4M1C+UBd8cItlEyPYCzbcDg9rpIJhG4tunyLNp+bKEc79a04bEJdJnFk5su0ZI7ACBFxIPOmDhTnn0qsW3btnn9f11dHV5++WXs2LEjYkIRIged8QaMvZgEEovx3EcwsY+99TpUtxmhMVhQkilBg2qYmewrTxODoihc6nJmG7pm8XnOYTvXrsWi6Rkw2hzY/PA8AMDPd5wG4Fy0e3QmJp7VqzPDaqdw8JIKc4tS0KrWQ2ey4fVD9di8PJu5NlU7z4yK7/hb0Lw9R1+L060aNKuH8ZiPFHl6JE6nl5E44cBXKQAAvHDXLLxw1+iJFZFcvOMpkzEeY3leO3a4UJQuRvuAEcmCoFvnxiRBn0VZWRkMBkMkZCFMMGMtJoEsZIpcKeRpYjz4zkmsWzItqLts2irUGCxQdg+Bz2WjINWZbLHrdDv0FjvOtWuZtkwrynOxv7Yby14/xigzbwkpANwWbVcF2KEx4M2jTUgT8/BVUz9YAKRCLlbPL8Tmk52oSslnumN41sb5W9C8PUfL9sG3V2FzAO/WtOGFu2Z5fW2Xj5E4oeL63q1ZKIfGYHGTaSzicfGOBPFkNdL4S+wAAAcFqIfNCZHUAYSgxNRqdUIPp4wlwtHwdTwEupDRNVi0KzDQRa84TYDiqfnYfKQRHDYLOpMNGw8ocaJZjdXzC7Gtpg3ydDGzgCi7dXhudy1jOa0oz3Wbk+Xagsp10VbkSt2u39rFJbj1T0cAAGI+Bx/89Ga3oZhrFsqxt64L07OTmRoyel+uv13x9hwtm4jL9uuyc31tuKwez/eOzoAEArs5icfFOxLQ72EgbcriBZmQB4PFjmGzDUkJYI35PIN/+7d/G6WsBgcHcfbsWaxfvz7ighGi3/A10IVs3ZJpTGPfYKH7E84tSkWPzuni+ODbdtwxKxtf/rpy1LYmqx08Dgur5xe6PedpVVZVlvptgfT8csW10Sm5UmYoJh0r9OZ+o7fzFl+in/OmHHy57HzJHiquNz3+3rtAbk6CkSnQm614ji9F+7sYTlLEzmSOTo0RM3JiO1EvEHwqsdmzZ7s9ZrFYSElJwfPPP4/09PSIC0YYe9x9pAl0IQtkZIa3bh7AaCvk5ztOo65T53UfFSUZ+PR8F8w2B9oG3F3anl02qnaeQddIjMmbcinOlOCm4nTG0lLkSlF1c+Y1hebhfqMX6hypEDVXBgCMji9t2HcJXzX14/++uYonbpkC40jWYkuffkIsateF9tAzt/l878JtZQW6wMezizLa38VwkiZxuhGvDhgSW4nddNNNyMtLrLkz8UawM6piEdfF/7tWDXZ91w7OiIW/ZibXqwXlOSqFVlAagwU2O4XCNNGoBdh1gQSAzpEYk8Fsw4pNX4LLdh6TPlagC2pLn37EWnQWO5utDtwxKxs6o20klqdjsiTpOISdAv52shVCnvPrdaql3+ci72mdeCrjYBhroXW1mMKpRAJd4OPZRRlP38WxEjtKMiV461gzGnp0uP260EocYgmfSuyf//mfsWfPHgBAVVUVNm/ePGFCERIH+i7dbHWAz2VDZ7JBJHSmsWOwc9T23qw/WuEsmp6Be+ble3VHeVsg1yyU4wdvfgUKgM1BucXWNAYL5hTKGEXU0qfHxn3teN6aghPNasad2KAawtV+I+wOB1JEPMjTxYyrcveZTjSohrD54XnYfKQRRosdLDh7OE7LTMb8Kc5ShoqSDJ+LPNN82OCci6YxWFDd4Kx1XDMzuHjFWAvteFxiX7YOo+rAMa/WZKALfDxlJcYzYyV2UBQFAZeNln79BEoVOXyOYnHtYt/e3j4hwhASj2eWzcC0LAkeXShHeYEMhaki/PHe8qBiIvQYjlVlvj0D9ALput+WPj1KMiTgsoEfzsnD9po2KLt12LBPiQMXetDUO4zqBjW217Th9UP1aNda8fqhelSUZCBXJsTCqWl4ZtkMUKBgpwC9xcZkS1aUZIDHYaFjwMjE3lgsQMhl43vTMvDnh+Yw8qwoz8WhZ27zutDT5waAsQwjNXKEfi9CcYltO6fxOY6HEF+wWCykS/ho60+MLHOft3quSR0kG3HyEmwwflQn9pHY07mOQZxr1+LuOXkhu2X21nUxVspYI1Jc+yZOyZDAbHfgixEl0agaAkUBVruDURgVJRnYuK8Ozyyb4TJ0U4IV5blMWv7q+QVMnOs3I1mS6ZJrgzy/alRDZ7KhR2cMqI4MuKZ8XbMr6eeVXizV8TAel9ijc1KxS6lPiJgQAShIE+NCpxZ2BwUOO77Xd59K7PLly5g3bx4oioLZbMa8ec4iUoqiwGKxcObMmQkTkhA8gSifQLYJJhi/v7YbT39wFlY7xbisXF2BY1kYvkag+NuHt4QR10bErx+qR6fGhOnZyVg0PWPEbceDasiMojQxc04tfddcK56uSdfEFfp4l3uGAAADeita+vRYUZ6LP95bPqbb0Nd1jAVXGz1iZt2SaaMSdW6dkoS1yxdESTJCuJGnifFNywCU3TrMzpdFW5xx4VOJKZXKiZSDMAYvf3qRqTXyl65NE4jyCWQbOlPPNYnBF68fqmfmaNELua8aqP213UwMirYOXOXRGCw4eFHljF0VpIDNAvKkQhhtDq/ncKqlHz1aM3Mu9PnQgzRdlWGqmAcumwWJgMcMm3R1J/rL7KP3MTMnGefataBGzpu2cnxZOoEmNfhK7JiImkHPej9C4jItKwksAF9cUsW9EvPZADheSdQGwN4atfrD1wwqV3kCmVOVmSzA1839AXVqp7uYv/SD2cxC+23LAD46045kARe7z3YyDX2f2nEarQMmt+71rvJ80zKA5j49SrKSUN3Yh26tGU19w7jcM+QmB/0auomv67m4Wmn76rpRUZIBsYCDH90oh1TEAwUKBy+qoNKZwOOwYbFY8NzyWcwMrbwU0aiO6/TxfnH7DBSliXG+YxBP3FKM+VPS/L4fnh3RfTVOdm2OW57BZt4retaYt27/4ZrVRc9BW7dk2qjzoT834Z4LFiqx1HAXiC15/M0To39Ks5JQ26HF5Z6huMwWdYUosQgTri+/zmBBXZcWjy2UMyMz/OFrjITrly3QURO+lJ3nOZVmJyNDIsDrh+qZwYj04nu+Y9BNAWVIBKi9qsaz37+O6XpOKzxFjhR3zs6Bg6KwbGY2WtR6UBTwk1unIkcmdJPDdfxLXooI22vaGHneONSAPWc6caS+Fxe7dEgScrHhnjI0qobx0Zl2LJ2ZjRyZEJc6dTjTPogCKQ8PLSxG1c4z+LZFA6vdORRz95lOfNXUhwVT0qDIlTLXbPfZTlzuGYKAx2YGiQY6ZsRXJ3fXaw3TEPNe+RtzMp6u8K6DLB+6qQhP3TZagQHXPjfh6EAfDmJJaQCxJU+Pqg+1ago9WpPPn5KsJAi4HHx0ugPLFNnIkgqjLXbIECUWYcL15V80Iwv/srQ0IAUWiDy+8KZsfSm73/3jAv5xrgv9ejMzE8vTYqAX3yduKXZTQKXZybg5w4JbZhcz+3N9rSJHio/OtKNFrce5di3unJWDZ78/E0sV2T4Vhec1zksR4bML3ejXW5GRxMeLd81irMCmXj26dUa8+083YeMBJax2CnqLA1YHhW9aNMhPFeK55QqUF6Tgq6Y+dGlMsNqd+6WvEW3Zuc4UoydBj/U++7oxcL3Wru+VvzEn45n87M/Cc4WWZaKnTI8lT6wQS/L4G8VCI08X4/qCFGw90QIKFCpnxm+9WPw3zooT4qXQM9iuChSAug4tEy/zLHwNJiPO9bWu9WVzCmU4rFShrV+P9Suv8ymj5zVW5ErB4zqrSHhcNlNMnCMVwmx1MDI+vbTUmX04S4r7vMTwNj88b1TCCX18eZoYH5/txPTspFE1aoD3WFa42y+NJylk9fzCkczLwrE3HuexCLGFTMzDyvJc7DnTiV/dOROyOJ0t5rNOzB+//e1vwy1HwuOtjikWoeuWAlG2VZWlKM4QQz1sYWqlVpTnMkpof213UMd2fW1ZngxSIRePLpSjbcCAHp0ZXzX1Y/ORRrT165Eq5qGiJMPt9X//rh27vmvHluPN+PmO0/j5jtN49CY5pmVJ8Pz3nSNWNh9pRM2VAZQVyBilcuv0THyvNAOX1ddGoXimwVeUZKBq5xn84v/O4uOznSjNciqtN482QW+xo7lPD0WudNT77FpgTEMrQX+9HX1Bd/EP9trSKLt1WL+nDspuZ2uvtgEDwC3RaAAAIABJREFUHBRGtfGaCMZ7LoTx8/++Vwy9xY6d31yNtighE5I7MSsrC1lZ43NrRYpYdSeGA9f4hTe3UjDy+NpXMCPZM5MFWDAlDb1DJrT06fFfx5qQkyxkFm5/SQhmqwPbv2nH1JxUt2M9+pdTuDpgRFu/HiwWCzkyIfRmO3p0JqRLeChIFeN4gxpDJiu+bR3AeydbkSMVojQ7mUl+qe8ZQotaj6beYZxrdyZeVDf1Yec37bjQqYXBase0rCSsLM9jZnl916pBh9aKfr0FXzf3w2x14A+fXsKfPruM4/V92FvbhdZ+A+p7hmCxUxgyWWGxOzCnQIamvmGsnl+Azy+pRrk4vcWy/LnkXN25rjExmkDdf664vtf76rpHuVwDcQ96fo7DkeARyrn4kifaxJI8gSR2cFjAsNkGIY+D8x1aHLnci2WKLHBYLAh5nGifQlCErMRilURWYuP50nvKE459AdeyF79QqqA12pgF23Xhdl3waCukrmsQdd16WO0UliqymYVWa7TCbHNAJuJiVbnTIqy50o/2ASPmyVPxr3fORL/eDKPVji6tCTqTjTkHOvnlB9fnYUqGBC3qYRitDnzT0o9G1TDaBgzQW+woSBHh5R+WMckf37ZokC0TYnYWHwKBAAcvqlDXNYjzHVoMm+1o1xhQli8Dn8vG4tJMdA0aUZqVjK+b+1GSlYSPnroFn19SeY2FeYtl+btR8JWdSOMvwQNwVy7ftgzgqR2n8cUlFa4OGFGv0uG55Qo3pRXoTYvn5ziUGO+W48144m/fon/IjM8vqVBRkoFundHnuQQjT7SJJXkCSexo1xjR1m9AW78BAi4bJ5r6oTFYsaA4DdI4cyuOGRP72c9+Nup/ycnJmD17Nh566CEIBNEL7k42wtlJOxz7ck1hb+s3oG1Az8R+PKcv0zEk10Lkvd81Mo9p6y07WYDMLAFWzy9EdWMf1r73HTKSBOCwWZCKeFDkSvHWI/Oh7NbhN7tr0aAaZuI59MgTOg6FkU6GFAAhjwO9xQ7AGdR2HRjJyDXYCaTkI1XMR0VJBt7/5ioae4dQmpWM9SsVbi5Gz3quYGKe/mq+KkoycKqlf8RVOrr/Hd0FZXtNG4ozJaPc0669GOkOItnJAqbdVLhiWqHEeOk6tHdr2iDgcrBoeobbJAFCdJiaIYE8XYzqhj78YtnY5TuxxphKrKCgABqNBitXrgQA7N+/HxkZGWhtbcULL7yAV199NeSDV1dXY8OGDXA4HHjggQewdu1at+e3bt2KDz/8EBwOB2lpaXjllVeQn58f8vHinXB20h7Pvly7ytNtoLY/eZPP7T0LnplCZN4gswh7KlV6+CUAdGuNWDg1A1WVpcyx5WliNPfpYXdQqG5U453qZhgsdvxi2XT85asWqIbM4LIBCZ+D6dlJuNwzjMJUEcoKnIWdrk13abn2X7mCE5evJVy4Xh/PoYieyiAY5bDxgBLtGiM2HlC6FWMrcqU40axGj9aME81qFPtoAOwv+WbNQjna+g04Xt8Hi80BqZCL3901K6wF0qEmptBz5+j2Xa7TuCcyWSSe55pFAhaLhcqZWdh6ohX7L3Rj3ZL4UmRjKjGlUokdO3YwjysrK/HII49gx44djGILBbvdjpdeeglbt25FdnY27r//flRWVmLatGuDFRUKBf7+979DJBLh/fffx6uvvoo33ngj5GNGmsny5aAX0TmFMuTIBEyCxVj9AV1Rduuw+WQfqlLyGYVBL7QLXzkEnckGHocFiqJgc4DpR7h+Tx0+OdcFNgvQmWyQCrlo7B1Cv94KwHm3z+M485VsDuCOGU4XT26KiBliSfcpbOvXM11B3npkPvbW63CsxYDqxj6U5cuwqiwPe+u60D1oQl3nIGwOp8XYoTFg0+FGTM9Oxiv3jp2s43ld5OlidGiMjEXoupCPsgy94M8KUuRK0aMzQm9xDg/9473lISkwf5/lsTJYfVmannPnPKdxTxTxPNcsUkzLTEJRmhjbT17F2ltLwOeGlPMXFcaUdGBgAF1d1+Y0dXV1QaPRAAB4vNB9p7W1tZDL5SgsLASfz8fKlStx+PBht20WLlwIkUgEAJgzZw56enpCPt5EMJ6ss3iioiQDOTIBABZjNQDO8//odAcefOfkqIwzz6y47TVtONYy7PVa0QMU0sR8/OdD8zAtS4LbSjOx7PVjkKeJMacwBXaKAocFLJ2ZBbp9Kf3YYHFacNlSp6v7iLIXXzWq8WVDH9bvqcOXDX041dIPvdnudtxVM6TISxWiS2PEwYsqvH6oHgcvqnC23anAuGwgRyrCpsON0FvsONs+yMjvL9PO83OxfuV1+NFNRVi/8rpR2aCuE6JbBsyjrhu9jb9M12eWzYBUyAWHxWLem2Dx91keK4PVW0amN6KVsRtMBm48Qs8TC+ZnnjwVaxdNRY/OhLePNUE7MhQ2HmBRrjNXvHD8+HH87ne/Q2GhM+7Q0dGB3/3ud7jxxhuxa9cuPP744yEd+LPPPsOXX36JDRs2AAA+/vhj1NbW4sUXX/S6/UsvvYSMjAz8/Oc/97vfc+fOgaIoCIUTX4HeMmDG3nodVs2QojjNuYCaTKaoyOKLQOXxdi40m0/24VjLMObliSAVcJhtWgbM+NVnXdBbKRTKeNjyw8JRr7mtOAmrZkjxfq0GDrsDa+amj9r/l63D2HZOg0fnpOLWKUkAgLUft6Nda4WEx4KAy8aA0amARFzAbANSxRwUyXi41GuC2Q6IuCy8ttxZgE3LJOGxQMEZKdNbnUqwPEeIn9zglMFkMqHbwML7tc6btEVTknCgQYcrGgu4bBaKZDzUq80okvHQNmiFPIWHf7k5E8VpAka+nCQO5uWJkZfMw+dNQ3h0TioKpDyf19Lbdd9Y3YvuISsEHGB6hhD1ajNuK05C1c2BJw74e/9CeX0wn2Nv71+4ifT3isVigc1igW21gm21gmUyAXw+TGJxVORRKBQBb3vmXC2OthmDPgZFUfj4kg79Rhu2PnwdZKzg9xEp/J3/mO7ExYsX4+DBg7hy5QooisLUqVOZZI5QFRjgPq+MxtfIl08++QQXLlzA9u3bx9wvLVswb3q4UABYUeH+P6VSGRVZfBGIPPtru/HcF7Uw2xxITU3Figr37atS8pFa0waD2Ya9dd3Iy0zHigoFFACQnM24khSK3FGvoa2MM11mpIvZKJ461RmPcnFBrV2uwNrlzmy2Bz9wdlV/fmUZnttdC4vNAT6PCxjtEPHYmJmTjLpOHbgcLs71mBgrbv6UNKyomAMAODPAw9avW8FiszG3MAWLSjPx759fhs0BqE0sZjulUokVcxXMe7i/thuXvz4Ho9WB703LQGYSH+e6u2BycPHa6tnOuNVUp7vteWsKM8G6uk0LNssIncmGXUq9c5aYx+fCF9v31EFtcIDFYkFvpaA2sXDPvEKvbj1/Lj9vn8Vg8Hx9MJ9jhQJYuzz0YwdCRL5XNhtgMgFms/O3yQSw2QCfD0gkQGoq4CMDMZa+5xwOB7k5ocVA7xKk4O3jzTh0xYAXVl0XZskiw5hK7Ac/+AFWrlyJ5cuXo6ioKGwHzsnJcXMPqlQqr6n7X3/9Nf77v/8b27dvB5/PD9vxCaOhFcmwycbEm3zFXTbcU4bS9fthtVN4t6aN6azfoTGgV2fGmbYB7K1zuqHnFKRg1+l2JjtuzUI5TrX0o2NAj+01bdhwT5lbsgMdR6Gz2f544DJEfA4eXlAIo80BeZqY2V9xpgQb9l3C6TYNQDldiPPlqaiqvBac/vySCnYKGB6pN1u7uATVjX040dQPebr3O2tltw6/+ug8jFZn1/yzVzUw2+ygALQOGPD6oXq3rvl0TM818YSWMRjo6y1PE2Pb1814frnCZ0zLM7bjbSxNrMRmYzJebDa7KyyLxenL9rjBbu4dxidn2/HDpWWYGiNp9JGiME2M63KleP+bq3jqthKkJ8V+9vmYdWKLFi1CU1MT3nzzTezatQvDw8PIyclBcnJoxbY0mZmZePPNN1FZWQmRSIQNGzbgZz/7GdLT05ltLl26hGeffRZbtmxBXp7vqb6uJHKd2FgEUoDqTx66dkwi4CJXJsRvV87CLdMyvG4LeG9K/MTfvoXOZENdlxbNvc6C45NX+qEetqBepUOGRIBffHAOBosN+clciIR8sMDCkfpe6M12lBfIIORy8NSO01hYnI7mvmHYKcBqp3C2fRA/W1yCui4tTrcNQiz4/+y9eXxU9b3//5w9k0kmmewrAwkhCQREFsUigooLilVRbLXa2s3vtVevv9pvr3VrvX6vS9tf6dfS9t56tVbF2lILtWxSAQWkhiUICZB9GbKvk0xm3873j5NzMpNMVsKmvB6PEDJzls/MOefz/rzf79f79VYxLyue3wyoZug1SnRqFQrgVKuNZquLJzaVEqVW0uXwolMpyE+LpTDdyDWzkulxemm2unlh2yl2l3eQE6ekulfgW28e5s+HT9M3wI5UKcQoQUa8nj6Xj+kJ0fzvGwuGqeYDstL9/uoufrSqEJNBO6GiYKlua+H0hGHakjBYa6VSKLjtsoywmi+pdquspZcSS++UivSe6X081cLBEx5PMAguF9jt0NsLnZ3ib7tdNGB+/6DxCgSgvh7274dNm3D+6tcs+8ur6N99B923vwkRQooXUp3YeLQTR0OaMYoDtV30uXysnH3hayqOmRMLRUNDA7/97W/ZsmXLlPQb27t3Ly+++CKBQIC77rqLhx9+mFdeeYWioiKuv/56HnzwQaqqquSbIz09nf/+7/8e9ZjSuC4U1/5chhkk5t7t8zNGZF2NNp6p6FklNVa8Z2EWLTY3ZU19tNvcRGlUvLxmHi99UE5jjxhr16rAF4AUo45+l58MUxTr713AQ28dodHqItuk59WvL+KpTWV81ijWTEk0eZvLJxdl7i7vQK1UEAwKYf3GdGoFHr9AQrSGhBgtacYoubv0/UvMPPruUWo6Bpth3jIrlqreoPyaAsgy6XlyVSH/s7+OsuZelAoFaxdlj/z9DiiANFvdrFkgloNsOtpM5sBnmwiTkd7mYddq3nM7ZS+59LmbIu47Xk9sItf7TO/jkRqeTtYrG3M8Pt/w0GAEL4tAAOrq4OTJwZ/ycnAOl+EKRhtQ1tZAWtrEx3MOUXriJJrE8WlhjoS3/tnAu4cb+d39C7ip6Oz0r5sqjEsAuKmpiR07drBjxw6USiU//OEPp+Tky5cvZ/ny5WGvPfbYY/L///CHP0zJeb4oOFOR4ZFqx4aGgkL/ru90hE2EkWjUofv+8dBpGntc6DVKtCrwBoIogBUFg6vYUAo6wOwMI6uK0vj9gXq6+j18eKodvUaFPyCwwGwiO0FPmlHPofqegfLmQSgUoFUraevzMCs1VjZgL2w7RU2HgxidikBAwGTQ8lGdnZuL0vH4gyQZdKTHR8m0/B9tKsUfBI0KnB4/eU9vj9igdEOxhRarm0xTlHwdDtZ302J1y6HT0RAaItT77Wz8886wTstSrdUj184ctm9oKcNIRin0eoSyCM9Wo81IY5MWWzBFFPdgcHho0O8XXw+F3x9usE6cgIoK0UOLgEBMLM0Z04ldeDmmKy5HuXJlRAN2oUEQ4LPTwwvlJ4KCdCOJBi3PbTnF1XnJGHQXrlb8mCNbu3Ytfr+fVatW8corr8gsxUu48HC2FMaH5l5C/95X3Uljj4sfvnc8ooJEfacjRIECjHo1t8xN49Hr8th/rJKN5aLKx4HaroGuy1quyUumtKmPa/KS5XPdPj+DmCg1bTYPGpUCrz9IVoIeEGjocpJmjGJaoj7Mi/rBDflYepxyfmp+VrwsdGvpFn+borXsf+I65j23E5dfYHdFh+zhhE74ocbj5/8QO1i/fqCBuxZlh33mSJ2sh6rgw8heUOj+d//2Exw+IazT8tBFwkSwvbRVJsfA6KotZzOHdcYdHXw+dF4vdHeLBiiSl+X3Q21tuIc1isEiLg5mz4Y5c8SfoiJeqXCyu6KT6wtTePyGfJHY8QWBRqXkrgVZ/M/+On6+s5Lnvjx2N/nzhTGN2Msvv0xubvhD09XVRVLSyLmSS7j4MFpoaSRpJUkdorHHhdsXCPM0pLCiRqWk2+Fl3a5KrpyRyMcVnRj1ah56+wgPzI3l8ZX5vLSjnKQYLdfMSuL+JWa++cYhbG4/vz9Qz7eWzkAQBD6q6KCz341OreCBK824BnJB6/dUA+DwBPD4gpj0aqwuPwpgx4lWXlwzjw3FFtr6PGwsaaStz4PV6ZW9vCdXiSGgRWYTeyo7WWQenKg2FFvYdLSZg/XdYphzwHh02Ny8fqABAVEV/7dfWyjvE2khEem1kbyg0DqxG2fGsrveGdHrmgzW7aoMI+wMVSUJxdksCJ7QYksQhntZPh9CaysM1JDi84kG68SJcIPl8UQ+Znz8oMEqKhJ/Z2WJbnsIbo+yg0LB7Zd9MVWCpicZWLMgkzc/beDWeeksHqN7+fnCmEZMMmD9/f3s3LmTrVu3Ultby/79+8/64D5vmIrV7dlaIY8WWhpt0nn61kLZkISurCVmoV6tlHX7ALYcb6HNJk4ubx/zoyt30Gh10Wh10e/x89cjjfL7fU4fbx+04PAGZN1DBvJeEhsPYGayQc6ZSQgCnzX2yd+V1emltdeNxxDE5vLLuTGJUbi/RiQEHbFY5WNILMqhocBnbptDi83NzhNtlDX1sb20dcJswKFeUOh1lYxnUrSSP/+vqyZErY8Eaft7FmaHsURHw/nof/ePE228tq+af12SzfLpRtFguVxiWFDysrxeqK0l9qOPoKNj0GB5RyjOjY8fNFTST2bmMIMVCbkpMaIH9gXG/1qeQ3FdD0+8V8r2x5ZdkAr3oxoxt9vNnj172LJlC6dOncLhcPCb3/yGxYsXn6vxfa4wFavbiR5jvBPeRASBh45B8kQkfcF7FmaTm2ygqt3OY9fnyR7M05vL8AcE0ow6NGolD8yNJSszi2ffL6PX6eN0t5M3uwcVIvxBga5+DwkGDcYoDe19bgrSY+WJdf2eanaeaCcQEkaK1anp94iswgyjjh1lrewub2dmSizHm3oJCpBk0DI/O5591Z28ureWjSWNCILIQsxNjpEbfBamGyOGAkHspVbV3k+L1T2Mbj+e73wskWSxBMHJ+j3VYfqOkb7/8V6v2+dnyNdZGkMoho77TDywcRtar1f2sv7y/j9xddr4fWMDy795pfhedfVg/urkSaisBJ+PiH00EhLCwoHMng0ZGeMyWMOgUAzWiEk/kud3gUNS7JgKaFVK/vdNs/j+n4/z8o6KCzKsOKIR+8EPfsCRI0dYunQp999/P0uWLOGGG27gyitHFnq9hEHITLGUABJnaSpWtxM9xngnvNBJdawJSPJsrE6vPOGXt9pk0d5ff1RDUIA7Ls8My99I+wGiLuGRapbNN2AyaOl2+DBoVFxfkMLWslZWz01nd0XHgIaikpUFKWwsaWLhNBPr91Rjc/mobreHGbBEg4Y752fyzqHTuHxBrC6fXOflCwTRDyjZd9m91HTY6fcE+NnOCjQqFdOToknTCxxrs4d5XaENMaW6NOm7kQxcKBsQROMaqskYipFYekNzaevvXcD6HccAhl2/8dwDoeHh0O0lRmYkj3u0cU8UEe+7SAQMn0/0srxeZjdVU3CyjC+52mHLT6GqSnw/Avzx8ajnzQsPCaalTdxgKRTij04nGiqNJvz3ZAzgecZUEDuGYpHZxFufNnDn5Zlclj01BnKqMKIRq66uxmg0kpubS05ODiqVakRFjUsYDrklhll/RsoJQzF0hTwWTXoyhvOFbac4UNONpdvBhu8sAYZPvpIXYorW8sKdc1m/pxqHx49Bq+KRa2dyrKk3zMhJKGvuo8Xqoqy5j06bi6p3jzI3Iw5Lt1NWN9epVUTr1Ly8Zh4/2iQqh7xZbMEXEHjtQIN8LJUC2atLMmgpa7axs7xdNlzRWhVef5CAAGqVkp/fPlf+rr73x6OAKBI8M1lPUqwOh8Mh5+VCERpqvXJGIpuPNssiwRJ7MfS7t7l8BIICNtfwCTh0codwAzVUFf/Rq5Ll1jDSmEKvN4jebaTFhlTK8NIH5ez/9+vkY0fyuP9zy0neLLaQGTd1sklfv8qMUQ1ri5JFAoZktIJB8XdlZTjporqa749gsEhOFo2UlMeaOxdLfz+5MyeQK5SMlVYrGqzPgbE6l1hVlE5Dt4N/f6+ULY9efUEJBI9oxP7+979TW1vL1q1befDBB0lMTMThcNDZ2XnBFPVdiJAmmXsWZnP7/AyWpgyKzJ6NZPlYNGnJ6MmhvkIDY5WzWLqdCAwy+IaOHaB5CI1cQkKMqKrySXWXKFs1YOSkY7RYXQQBc4IBAn5arG46bB58AYGNJU28vGYeMOiRzEg2sH5PNcdO99LS5w47V15KLI1WJ/cuzmbnqXaEgeOaE6KxdDt5clUhRy09vFls4Us5iRyo7ZJrte48lcHmgc9T3WGnptOBIAjMniaO/3vvlACixxir02DQqrhnYTZZpmi2HG+h2eqitXfQiIcaeaNeI/c/C0V5qw2r0ysbyqHMzUgYumgZalBHup/MCQaxTCEhvFdXpDIKaYHQ1OviK4unTS5SEErA8HjI97h4olAPji44Uj7MYOH3Rz5OcvLwHFZqhIJbuz3y/kM9K8lQXTJWZwS9VsUPb8rnib+W8ZuPavj+DbPO95BkjJoTy83N5bHHHuOxxx6jrKyMbdu2sXbtWtLS0vjTn/50rsZ4UUGaZDaWNLLr8RVhReFnI1k+3lyWNK63Pd4Rde2kifiBJeZhkkmRxi79/+nNZczPiueT6i46bR6Z1DFUtio0nPjodXnU19VxoEOFOSGaX39Ug8sb4Ad/OYYxSiNP7BuKLdhcvmEGTKuC+m47Hn+4d6ZVKUiPj+a+K8wcqO1iX1UnvoDAByfacPuDWLodPH3rbDyBICoggFhHdm1BCjabjaW5STz01hGarC6UCtHjrO90EBTgWFMvlh4n/oBApknP3My4sLCgZFAevS4vYouRDcUW9lV1cfv8DArTjTJr8kBtV5hklRyWDGlVM/R637Mwm2NNvRE9RxAJN9KxxgoPf2OJmTeLLRHr3kZEIBBeTOxyiQXC5eXhOayaGnHbSEhNFb2rUKM1zq7xCpVqeM5KMlTjNFYSgza0Du8SRsbSmUncPj+D33xUw81FaReMfNiEFDtAFO49fPgwV1xxxdka0xnhfCt2DA3vXSiV/NtLW3lpRzkqwUdAqeHJm4dr8o1H8WMopH1M0Rpa+txkxEWxyGyS81qegBjak8Ju0ljW7arknkIDD60SSULlrTbW/OaArLhhjFIzLyuO4roe4vRquV/YeBGjU2H3BIhSK/EHg+g1IuEj26TnmlnJ/OnQaQIDd75KIdZy0d/OuoO91HU4CAJxejVeXxCdRkm/J8BVOQk4PAGq2vt57Po8ls1KnpAKRXmrTWZyStqOoft8750S/nGynRvnpGKK1rL5aCN3LoisDjLWtQq9D6UavPFe10hGr+bkSWZmZ4tGy+WCvj7RYEnG6sQJkeY+ksFKS4M5cyiLz+KvnjjMyxZjUYplDg8smU5uiqh2X9th5/3jzdx+Wab4muRZaTSDYUCNhprGRmYWFoqGbJIYTf1korhQnnOYGsWOSNBrlNg9fu5//RDpcVH87oGFKBUKYnVq4qLPn67thMuwFQrFBWvALgRMZfflyWCkVfct89I5UNvFHw+eRsDPSzvKh9HCx/IUy1ttvLDtlByqu2VeurytpdtBa5+buVlxlLX04QsIbC1rJSiIhceSZ7Kh2CIXSId6hYXpRuKiNbgG6PVuX1AMawoCziF9v4aqckSCfWAf94BR9PoDKIB0YxRbS1tkAwYQEERPdVa8UgyTJohe1u7ydjx+AY8/yM1zRaWGA7XdCAJsLGnE0uMcMacVCYXpRkzRWrmoe+g+obm01XMz2HasifdKGjnVYhvWfHOsaxUadlx/74JRtx2Kv5U0cryylQzcFC7Jgu5u9B9+CD09gyHBmprhihgSMjKG12ENaKI+tX4/dk8AdZ0LQRALj+OiNXz/hgJQKNhZY+Vwlw+fxYW+S+CWBWZmZiUMM1Y+pfKMDBiMrn5yMeNsEDtCcUNhKn8paeKXH1azeHoC18xKOq9GbEwB4IsNX2QBYBhdaDUjXs/J0x1otBoMWjUfV3bS0O1gzYIsYFB8diSh2p/8/QS7Kzqxuf2UNvVS22lnXlY8X1k8jcJ0I0FB4LvLcojVqfm0rgt/EFJjdVydl8R3l+XIIbeCNCNatYL75hqJjomVBXIvy4pnf3UngiCQaozCoFVhdXoJCgIxOjWeAYOk1yjxB8cXQFArISggG62WPrds2AASojVkmvQ8vjKfaMFFo13g328sIFqr4uMq8V4SgCtmJPDdZTkcqe+h1+Xljssy+eoV08IEeEMhiTF7fEH+8M8GWQA4I14/4j67ytup73Jgitbyl5JG+jwBAkFos4mh1NDrOda1SjLoqGy38fjKfL40M2nUbfF6xVBgfz+cPk1u2SEKD+zk5gNb0K37/+GllzB+8AHs2yfWZHV3D9ZtZWbCVVfBl78M3/kOPPkkPPww3HorLF4MZnOYYK5WrcJidXLHQjNpGSZyc1JZs2IOpsxUSErCmJFMS0BNq0/BphNduAQF188eLvU0Fc/VwukJPLxiJgunoIj38yQAPBbSjFHUdtopbepj8fQEZqbEDMv/nkuM6Ik1NzeTmfnFrFS/mDFW6/oXb8ygsLCQZT/dM4y8MR4oFaDXqDAnRovsS6dX9rIkgsPGkkaCQTEKtMBskunaQ2nk5eXlgyzOgVzZvKw4+YHYUdYmN7H0+Ae9sWBIBDxOrybdqKfR6iQ5Roulx0V+agwOXwBzgoGC1Bje+GfDYOhQKY7f7Q9ijFLzf26fK9PmLW122vq8bC1r4cNT7fI50ow6nB660+ALAAAgAElEQVQ/X/71J0RrVfiD8HF1J8/cNmdE70v6XAfru2m2umXVj1CizTffOIQgwE9um8Mt89LlXNq+KnGhoFGKrMqCNOOE86gzkg1cOSORGcnhxA6CQWoau9h59DS3ZqiZ3lAJpaVQViZ6WPX1ZAgCEXtGZGWFEy5mzxZrsyJBCgMqlWEki7tvz+LutVpQR5568tOM/MftRZS32ojXD88rXsL5h0Kh4LZ5Ym7sw/J2bio6v0r3IxqxBx98kLVr1/Ktb30L9Qg33CVceBhvkeqTqwrHXdwshShXz83AFK1laW4SW8tauGaWSL4YqqsoCuDqMWjV7K0UC4ofWp4bNrZX99byyw/rMSfGMD87jrKmPlp63QQEgdRYHXmpseLrzX34g+DxCygVolc1I9FAzkAOZfXcDNbtqkQQxNChAHTaPURr1Ry1WLF0O8JCh/4gRGvVpMap5c++5rcHcPuC5CeJ0ldlTX0Igtj5WaNS0Nnv4W/HWhAAu9sfpkAyEiQSi83lw+MLDlP9WLerUlYmkZiloQZuaM5wovjTodN8VNFBvAoKr50OXV1w5Ah89hn+XZ/y5eoKsvrah6u6D6A3KY2yuCxasnMoNWZhnDuLJ75+beSThTICQ+nrEtliEjhbOqCXMDXIiNdzxYwEDtZ1U9NhJ8sUuS/fucCI1mnz5s386le/Ys2aNTz77LOXVDomiEjFzhPZN5QAcDZYQBPJ3W0otrA5REMwlGUnrZSlmrD7l5g51WKjqr2fjn43Hn+4gK2EX39Ug8svUNHej75bicsfRMpwtPd76LJ7+OoV0/juslxe2lEuax0W1/WQkxLD6rkZPPv+CXaeaEOhEHXe1AoFbTYP3Q4fvU6fGLoLhOdtjFFq/EGx3cpLO8rRaZRyXVmHI8DCaC1ddi/TkwzMSo1le5nYuFWBaNDGw+CTrr3N5aO4roe5meL1s3Q75Lq5x1fm8/zWk7h8AfpdfraXtsrXQ26wOdF2RwPFxH//8Biqzbt4qquOFXta4bFKaGiQNysYup/ZPMzD6vaoOHy8mYXZJsqrOuh2OqjrcpCTEhtOspAMlU53xvT1ichp/fVE7zCF//Hi885KnErFjtEwM8XAt988wiu7q1k+K/m81RGPaMRiYmJ46qmnOHHiBA8++CBpaWlhg9yyZcs5GeDFijMpdt5QbOEfJ8VwVmgd0lBSxViYKp1FSQapecCbMCdEi2FFtXJgsvZTXNeNzeXDnGigqr0fhzeAVqXAGKUeljh/dW8tHn8A1UC0SWIkBhGZggEBdGoxHzYj2cD+J66jvNXGU5tKEQSB7WVt7DzRJntYagXMSo1lf1Wn+LcSbpwj5lE+qugk1ahDq1IOklFeK5a7Ol+Tl8xPP6ggIECKQTznQrMJEKjrcKAcGFeMTkV8tJYF5vDw2dAeXktzk1i3q5Jmq5ukgZq5LruX1j43rX2D3phkqFau+3hC7VDKW2386dBp7rtyGvkJUdDWBiUl4s+xY3DiBF+2WPjySAeYPn14SNA45N5QKMhVKHg8KwG0Wk561eyq6WZzp4IfLMk5Y0LFSJhIHeW7pdZhCv/jvd+lEpBIi6vPA842sSMU1xWk8P6xFraVtbJ63vgaF081Ro0Tfvrpp7z44ousXbuW++67D+VZunk/j5A8lNBi54nsK+WIzAnRrFz3sdhttaYbAcY94U22uHroZDBUQ/DRd49ic/t593AjHn+QRIM4WVu6nRxr7GNWaiynWvoQgNyBnMzKdR/LZQe//qgGj1+0QKGMbKVikIDh9AXYXtbG7vIOfnnPfA7UdvFZY5+8bWiIUKFQsLu8A/+A16VRKfnt1xZS3mrDFK3F0u3k07puXtohejZGvYZVA+1gNhRb0KpVZJqiSNILfFzRiVqlwO7xE8od6fcE6Pe4+NGmUjnP9MK2cj47bSUQFGSh4C3HW+Q2MRK9XQq/QniusrzVRppRj8cfHDU8Wdlm46+HT/PVaRqqNu8i/8BBVC9YoK0eGhtH3M+WloVx0XyOxWbwZ5eRxauuZs2KkLjACHkr2bsaSCNcuzSGE7Zj3HJFDttPtJ9x49SRMN46yvJWG9lxGhptgbAF0njv988rK/F8YPH0BE622HhxWznXF6Si1557geAR68S+//3v097ezk9+8hPy8y8eJefzXSc2FGdaPyKt1LNNesyJ0dR02JmZEsPTt86eUJdgaduh44m0TWgNkkSLD31fCsdkxOmp6bSzJCcBc6IhbLLeXd4hswmNUWpsA7mkXY+v4FtvHGJPZac8Bokyb4xSc31Bipx/khCnV7N0ZhLFtd30OAfrxQxalaxur1bCbfMy2F3RIctXSeMpabDS3i/mn/QaJaBgoTmeNptbLhq2ufw4HHZa7AJddg9alVJmMQpAjFaFAHj9QbRqJbFRatptHnnc0sTo9gWYlhg9ri7Oo9Z6tbTQ+ve/k97cTM3O/cRWnSK1rzPicYIosKZmknjF5YPCt7NnQ4yYN7zzvw7g8UO8QcsfH1k+PBQ4jryVdN9I96N0Lc8Hnt5cFrGG7mz2QBsLF1Kd2PGyk5x0xp6z88Xp1fzrHz/j367P4/HzoOQxIsXeZrPx4x//+KLrG/Z5o9hLVOl/v6mAJ1YVUt/lYG9VV0QK/at7a/nmHw6jUihYOD0hIg176HgiUfI9viBHTvcACo439fKPk+1h72/6rJmKtn7mT4tn0fQEHrkuj3lZ8Ww4aKGsuY9TLf0IgkBgQBk+EAyiUSn57tU5tNs8/Obj2rBxX5efjEql4Nlb5/Do9XnsreyQSQ8A/kCQll43Ockx9Lt9ZMZFERul4aFrcjje1IvHHyQowEKzifce/hKv7q9je1kbRyw9lDX10e8RQ5cCEAgKpMVFUd3RT2e/l1OtNpxeP6VNfbT2+4nSqHD6AhRlxnFdYQr/sjyXPpcPTyDIQ8ty+KyxF7sngN0TINGgISlWx3/cVsS+mk7KW22kx+v5rwE2plQ6MBK1PSNejwL4eq6ehE/3wx//CL/4BTzxBDz3HLHbtsG+fSS0WIjxDLBIlUrIzYWrr4Y1a2i+90Heuv5rKL7xTd5PLSJl+VWYCnLFEGFMDMTGooqP40i/gjtvuIz5RWYwGCAqSjReqvGtnKX7JpS6n5c6+kS5vbSVh98pIcmgG3PbiSAjXk9HVw/fvbYg7LsdrexAeja6+z3sPNU+6nWZDL5IFPuhuDIngS67lz8dbmRVUToJhnNbMzZiOPHuu+9m+/btKBQKbr75ZoqLi9m9ezczZszg3nvvvRRaPAcob7WF6f3B6CGXycT6Q48nrWSl3lstvW6SDFpM0Zowfb9I3Yuf3lzGP062EwwKqFQKVs9N58hpKy1WF74gEAyyr7qT0qY+2ctSK0W24MkWG7F6NU1WJ09vLqO+yyGfS69RcvOcNMpa+mjpdYm9xXrEItlXdlfjHyi4VSCGXl/dW8snNd0AtNs8qAbSuNkJ0TRbnQQE0YOTwpl2j49+92Do0BcMIghQ0Wrju8tyuGVeOi/tKKfR6uLtYgsvr5nHD987jtMbQKNSMjczTg4vKhQK5mbGUZhulL0sGBLa6ujg+F8+oP6DvSyznebHteXQ3Bzx2ghKJYrc3PAcVkEBGAzUdTn54FQbqxZM49HMRH7zz9Pssanxdqr44ZKcMJLF2hUm1q6YPa77YSxMhBA0lq7nZCGJI0/E25KejTeLLejUouH+vLIfzxWxQ4I/EORbV09nb1Un33unhD9+50qSYqdOTHosjGjEnn/+eXp6evB6vezevRuv18t1113H3r17qa+v55lnnjlng/yiQorxn2qxUdtpl9lUIz18k4n1h1KZpYn3mllJ3DgndYD27gKFgnW7KpmRbJBzZEPHIOXx9lZ24vAG+LSuG6dXVMlQID5Ylm4nHn8QjUqBUqEgPUaJpddPe7+H9n4PL+6ogIHtJaxZkIWl20FNh4NYXfjtKoUSpXDkxpJGWnvDNRal3JnLF2CAhEhlux2dWoHHLzA73Uhtp0NmMUZrVNhcflz+oDz5mhOjabS68AWCzEg28PO7L+NHm0rp6PfIBByAG+ekynJSDywxk2jv4Sv9p+DZjXD0qEi8aGnhMuCyoRdCpRI9rBCDVa/TkVNUBAoF9b1uNpZ2wCkna69KZXOXi/e7NHQ1C9yTruekU0lmVhKrF5svGJHbifSoO9uQng0p1Px5rj87l8SOUKyel847B0/ziw+reGlAyPtcYEQjVlJSwpYtW/D5fFx99dXs378frVbL6tWrufPOO8/ZAL/IkB60v33WjMMbGNXD2l7aysaSRl5eM49b5qVPikYssQ7nZ8Xz0PJcmepf1tQnMxOX5ibx1OZS+t1+vvml6cPo5rNSY2ntc9Hn9OHyB9FrlCTqNZj0WnpdXhZPN3FNXjJvF1totrkiykdJBc75qTEszU3ib5+JnorU7BJACWjU4mSdHqenvc9NTYcDqfGsxCqU4A8IsrETAJ9fwBil5rvLcmmyOvnlh1WolALpcXrS4/S09LmI1Wm4/7ViQEF2gp7ufi8bii3y8VJixTYwDrefjmoLD2q7iPrkHY7t/5Scpmoe7+uO+D0HlUosJlGaaca1SwY9rOhokUwhkSuamsQCY62WDTsq+FODF6/fxYftVTy+Mp+egJK1i7J5e4iw8IWC8y3BFoqHludOmol4PnNtFxPmZMRx5YwE3j3UyIJpJtYumnr9xkgY0YipBmLlGo2GoqIitFoxzqlWqy+FEkfBVN7wkscjqbyP5mENDd1MJrS4saQRm9vPxpJGuTj50evy5Jo1iZnY6xKNyZvFFtmIbSi28EFZG0FEqSlfMIgCUCkVtNs8dNs9+IMQE6Vmx4lWGq2uUcciIHpaB2q78AWCqJViuM4XEIjTq/EHBPzBIB6/gKXHKdfs+gJiPdflWfEctlhlI9nr9JKfGkNNp52seD02t58ep48fbDxGjE4l0/yPNfaiUoIxSkNpcx/BoIBSqSAjLooVBcncv8SMur2NnINVGI+UML2hgoK2WmJ7Ixss1GrIy5O9q6aMHF5uEOj0q1gxN4uHb54TzgoMyVF5OjvlbsJ3L8ymtc8tesdWNwdquybUJPNs4UKZ4M/GOELD6/sGJMg+ryHIqcLqeRn4gwJPbS4j06TnS6O0GZoqjGiNkpKScDjE3MTrr78uv97Z2YlmklX4XwRIIUBpxT4VeGh5LqXP3TSqMXp8ZX6YksQj186MWKMlobzVxtObyyhvtY14DBhsH2KK1spFuvF6NSqF2MJje2krK9d9jDkhWqbXevxBAsEBjycQRKGAmcmx8rEr2voB0du6PDsOg1aFWqlApw4Pg0naiakDzRoDAQGdWoFaqcDhDeDxi6oaqbG6sBvZFxBkAyaFM5VKsW+YQqFgaV4yhoHQpMsfpDNEIV81kKfrcfrIMOq4IyXIfW2f8c0dr/P//eIxCufnkXd5Pt/+6WOs/eAtFlccGjRgajX9OXnsmXsNm778HZr/520aPjzAb59YT/1PXoZ/+zfeS51LeWw6vunTufaGBZT7ddy54QRzXtrLq580hF2f9Z92ytenMN3Ib7+2kFe/vog7F2SGGSxpsXM+jMhU3+/S/bS9tPW8jiP0mEBYYf8ljAyVUsF/3jGH6YkGvv2HI3xS3XXWzzmiJ/baa69FfN1gMPC73/3urA3oYsfZXhWPplIfGrqJFD7ZXtrKS9saedIXL7fngMHV5VC9vfJWG5ZuB6ZoDeaEaLmL8LGf3CS3dnnn4Glc/iAbSxr5+d2XsW5XJf1uPwMC5cxONzI7I7zvljkhmop2O+mxKmo7HfgCQaYnRdPa68bDYOFYr8vHzpPtJA8UDQcR5acWT4/jkxrx4QgI0GbzhNHtDVoVN85Olen2H1d3UtMhLsgUgoCl20FSjBanN4BaqSAoCHT2e8jz9vCAtgfvwcPMba3iss56oqwjhATVak4nZqG9bC4ZVy8Wqe2FhcQajczo97G1vAvX5dP4n4NN7GwIUKHt41dFudx0hZrOoNhnrSBNJIB81ijmL365q0q+Zi9sO8UnNf3Ygqfk7tpw4ckxTcX9Hhr63ljSOCYZRDLwob3WzsZzF4nAdDHgXBM7QqFVKUiK0fHH7y7hgdcP8q03D/Pf9y/guoKzp684YVHE6OhooqPPn07WhY6zPclMtIB56ATR2OeTZZyGsg6HHntDsYXiuh5ADDW29Xnk99btqpRDgsYotVz8esu8dNnASYoYG0saMSdEs7GkkaYeF8mxOm6Zm8bRelHoVq9R4vEHuXF2qlwjplcr6XOKrUnabJ4B2SfIjI+muqOfjLiosEaZTm9A7iE2KzWWG2ansaeygzf+2cDCaSZ0aidBAVFhv6aLbHsXP4zt46vKDhz/PEigpARjf+RkuF+lpjYhk9PpM6hINBOz+HI8+YV83OJi2ZxM/vWm2WIocKA4+PXNZfztWBdtgpZmm5c+t4+eAW9v6P1hTghVeFfKCwVJmHksgebzHc6bivs9NPT98pp5Y5JBNhRb+LjejilEi/JsPHcX2oJhvDhfxA4grC3Lnx5awtd/f4iH3irhla9ezq1nKT96qRXLWcZU14+M1sojEr75h8PY3H6ON/Xy7K1zKD3dhTkphuK6HuweP0a9Bo8vyMPvlLA0N4m0uCj52BnxerodHnJTYvjGVTOI1qnk95IMOkqbepmXFcev7l2AyaCV66K+NDOJq3ITOd3jZMvxFhq6nRTXd2N3+9GqldjcfjpsbnpdfkzRGvRaNS29bvzBIP9yTS7F9d14AgL+oCC3UgHxt9cfpNflCyN5SAgKAkFBJHwcbuihtc+DIAgoTlu4+vRx1lbs5cEDf+HZPa/xvw78maJPPoD9+9E21KPzigbRq1JTlTSNgznzsd9xN+X3fptnFn+FT65dQ82XVvJxSiHeWfnce/N8Wrwqvrwkh+SEmDAppvSQa3S8qZf6TgezM4zcGkGW54lNpfQ4fGhUChZMM8k1gPddYeZIfSc5KSIbNDlWJ7d3Ca1xGq31TqTth2I828DZrYNSKcR6xEeunclXr5zG16+aPmpd2Uh1YpPFeL+D0fBFrhMLhTkxWu5CEaVRceu8dA7V9/D6J/VkmaKZnTH1C61L8vQXGSa6Ogyl3d8yL50Zml6Iz5TJGktzk/jRplKZ0CGpMAztUA0MD+8o5H+GeXFPbRLDZNMTojFGqXH5AiQbdZgTDFR39NMe0vzy3vmZvFlsYUVeMpuONuML0ZS6bV4GW8ta8A1EGZ2+kWW8ClJiCNQ38F1rD1Flx0moKKOwtYY4py3i9h6VhrrELHyFs+mansf7yjQaM3II6KNxCAoW5aexr8ZKt+DFaw2S6g/Q7gpg9gbJTzPy/B1FEY8rXSMpnxVKvQepuWg5lh4HNw0YnsdX5sstYSSvauuRavZZemW9xaHfsRjudWIyhHvUoYSEjys6w9rADMVkpcnGQqT7ZyRMlDk4mTqx0XC2voNLEAlSb37rCh56q4Qf/OU4Ll9gylMt4zJigUCArq4uAiFCdxkZZy72uG/fPl544QWCwSBr167loYceCnv/8OHDvPjii1RWVrJu3TpuvvnmMz7n2cZkwjtnMyQUaYKQSAIg1oZ5B3pr3bMwm6c3l2FOiObn/6jEFxCG5SYk2r1UD9Zkdcljh8E8QlW7SN7otHt47+Ev8cK2U3x2upf2Pg8a1SCBY1ZqLDtPteMLCLx7uBGXN9xIfVjeTkS7JQhM621jfmcd89prmdtWTWFrNUaXPeL34FFrqU3MpjbFTH16DpbpBdSlzsCt1fH1ZXkkJRo5urUMp0+gz+HDHxSI7XDx4Jem88ruamanx2HQqens93CqpY9lP90jCwpL34nN5ceoV7N6bgYHartkVlso9b281caj7x6ltsOBgNiXLFS+KXQSXZ1vBJ0Bq9PL9tJWrE4v18xKCssvFteJObsDtV3ydZIm5WtmJZFhipLLIyJN0FOZSwq9j89WofPZwHg6ml8IDMyLFdFaNa99YxH/+s5RnvnbCdy+AN9ZljNlxx/TiL399tv8+te/JikpKYxaf6Yq9oFAgOeff5433niD1NRU7r77bq677jpmzhxk06Wnp/PSSy/x+9///ozOdS4xmVXd+VwJLs1N4mB9tyxW+/6xFpQKkeGnUSlkwyY94I++e5T6LieCIGDQqrh8mkl+uJfmJvHou0d5fGU+9y7O5g+fNpAco2X9nmpqOuwy8cIXEBmFeQkq7luaw7PvlwFiXmso7J4ACALm3lYu76hlXnstRW01FLZWE+t2DNsewKXWUpeUTV3KdLxFc/FdNp/3XHH0KTTYUeEUlOhUCrqdPgJegZ/va2BVUTqddh8BQWQnApQ19/LdZTkyYWVVUTptNrEerccp5hZvmZcudx0ICAJKYG9lJ25fgKtyE5mfHce+qk651cqGYgvNVjepRrHGLFLuR8pj3jPHiCk6hvePtVDV3k9bnyfMIC7NTWJfVSfmxOiwCXjopBy6yIg0IZ9q6ePu//onj12fJ9cHTmbSDr2Pp7rQeVi3gEm0OBoJY0U3LjZP7XwSO/yBIE3WyHncZ1YXEhQE/nNbOZ39Hh64avSFU6xOLefXRsOYRuytt97igw8+wGQyjXmwiaC0tBSz2Ux2tlgQd+utt7J79+4wI5aVlQVwUdWlTWZle7ZWw5EmoFcPdbF1w3a5L9aB2i7a+jwcqO2Szy+RMO5ZmM3GkkaarYMEimarm4y4KOZmxbF6bgZ/PGThobeOyE02pdX3rNRYAgI09Lho6nWTGDN4MwqIeY1rpmv54XvHZeMmAAohyHRrK5d31HFZew1FbdUUtNUSM4rBqk2aRl3qdOoyZlIzbRZNGTPoV+joF5RotWoc7gAKBHqcfiAw8DMIhycgFlUfbcTrHwxl+oOi0daqlDIDc/29C3jw94do7/eQFKPl6c1lLM1NGmiA6cfS46DZ6iIoQE2HHY1KSaPVJXskerUSfzDI6rnpEfuSlbfaeHlHBUHgzc96+Puj4jbS5C1do+2lrfxoUyluXwCdJvz5KEw3hgk3h068QyfkF7adkrsDSDWFk520h7L5ptIDC+2U3dbnmVSLo8nifNbhTQbnk9gxFq4rSMXq9PG7fXW09rlZkpM44rahJJHRMKYRS0tLIzZ26hWR29vbSUtLk/9OTU2ltLT0jI/r8YjJ/Ak3FJxC3F+ght5mynubcbvd4xpL6D4S6ns8bK20sTrfyIyE8SVq13/aycf1dqxWK49eNTzRvKXChl+AP/yzgbtmKlmaEsBq1mOOcrN+x7GBc3lZtiqV9Z8209TjJNmgllvKWGdEy+NZ/2k1n9SIYcPn/36c1flxtFqdrMjWUdFlQyGI+ojGKCW35Rmo6FJxuMmJJwB1nTZ+3ugnu7uFyztruay9ljlt1RS01mLwRF7JOTW6AYM1g9qMXHoLZnM8Lpt+RA/LFQBvIIjHGUQk5AfBOZwAMhRef5AnNx3DGxCGKYgEBOSGnfcUGqC3mZ+sSGJrpQ2bx8fmo41YrVZW5xvZWunggbmx/OpTN3avyKpM1CtJi1FxT6GB8vJy3j1kEUOnhyykqJ28fczKTTNjaen3DRzDJiuNCAC9zeK9QS8zQu6Rl7aJhelqBTT1OFi/41jY9V7/aSd76uzsq2jlyWtS5PtHut5LUwKUl5dzzDJYQnDPHCPl5eXDtgFGvI/3N9h5+5iVB+abWDY9JuJ9PBWQxjQ/Xc+xViU3zIg6p8/4WJ9rvM/5ZDERhfxAIEBr28Tq7M4lvpShos+u5e/HW/A4+5mVFHlu605Q0N8m1v2N9vlHNGJvvPEGANnZ2TzwwAOsWLFCVu0A+OY3vzmpDyAhUgeYqegMqtOJX8iF0hbhTFo0bNhcxj6LC5PJxC1Lx3cM3XE3Ll8/uujYiOe9raCLrVX9fGOJmcLCQgqBW5aKubF9lh7QGTB1+EV1jlWZMEAAmZGTI66uB1a/20tbOdg82MvKJyip6FPgCUCLV8vTd8zhobeP0NjjotsZYE+tnS8bXNzjrcD56SHmtFSR01KDwRNZucOhiaI2OcTDMhfQmGJGHxtNnT2AOwAIAid+fDMrfraHjh4XsTqV3P5lIhCAPncQg0aBgIAgiMoi6cYoKtrFHFsQONajJCsznq0NLaAzcN+iDMwD3tGGYot8rQKCJHAFdh9kx0axbH4+helG7r0iyJvFFu69wszG8k4a+3xsPGkjKIDJZOLRVfOp6ztGTWc/t+UbR7x3nvTFs25XJfcszMbS4xzmeT8an0nVu0dptro50KGS7x/peksI0ACI8mDPrL0q4jYw8n386I6Pxc9Q7uChVWev+/vQMV1IrU/gwhqPSqUiPe3CzkM+mBrkjQMN7KmzUzgtjRTjcMHgxKREskxjS1eNaMQktY6MjAwyMjLw+Xz4fL6RNp8w0tLSaGtrk/9ub28nJSVlyo7/eUBoeC+0qeRo2FrWijDw+5dfvXzY+w9dkcQvv7FMVuyQJj/pXFanNyyUZIrW8l5JE59Ud/HItTPlCXPdrkq6Q5QurA6fXNOkCAbQVlWw+vhusmpPUdRaTV5bHdHeyAbLromiNsVMXep0ajNmUpudT1OqmX6lGrugwh0Ajz+AzyWAyxO278yntjEgZE+/Z3hObaiGYqT3VSoFgYDAlVnRnHZA40AtW0a8XjZiAP842U5Vez8NXeLnlLpuw2BucWluEqda+vissQ+NCuL1GlpCiBUufxCdWpS5kvJGQw3RwukmmnpdeEJYmkO1MG+Zlz6MzRiKoY1MR8L3V84aU9IstLi4vtMRxjq8kER+L+HigUal5KtXZPOr3dX8+Ugj/7I8F41qcmmjEY3YI488AsCOHTtYtWpV2Hs7duyY1MlCMXfuXBoaGmhsbCQ1NZVt27bxi1/84oyP+3mClHCeSAv7bywx82axhW+ETFyhdOcZmsF8iuS1hOY95mfFU9XeL1O2719iZrubl40AACAASURBVMvxFmxuPz/bWYEgiIbu8ZX5PL/1JHaHi5zuJhZ31bOWNqLLjpNmqULrcfNEhPHZtXpqkqZRmzaD+vRcas35tKZOo1+hxRZU4Aoq8PqDBNxBAoIAhIv+qtWKYXmr0aBQiA0t7QMGLiMuio5+N7E6Nf0eP9fkJfNRZScCsK/Bwa/uXcC6XZVYupyyygdAtknP3Kw4MoxRvNvbyKzUmDDjEJpbfHHNPL7yu0+xuf10OzwsyUkallcZLW8kGcT56Xr5tUhamJFyV0NzomPltMZDbw8tLj5Y3x12L0rjX7erEohQhnEJ5xznk9gxUUSplTy35RQNXQ7uWSx6XVqVAp1GNaxrxUgYc6tXX311mBGL9NpEoVar+fGPf8x3vvMdAoEAd911F3l5ebzyyisUFRVx/fXXU1payiOPPILNZuOjjz5i/fr1bNu27YzOe6FiNEKGtNpdkZcc0SML3feZ2+bIhAHJeNndftpsHp59vwy3149arRLzKUpxwpRo381WN5mmKFqsbp7fepL/2HKSvNRYudbM7/WS39PE8n+WcMsnrdxy9CjB0lKU7vD2JxJsumjqU8xUJ0+nLj2H2ux8ejKn4VRq6PYrcQYVePxiDktBMCwfdYXZRG2XHZvLR1AQc1Px0Rr+ZXkuv/ywShbsHQlS+xe1SoHdEyAhWoM50cCxxl4EwOryk23SU91pl8/rF+CZv5WhUSkHDOggHlhi5qHluaxc9zEOb4B+jz/sOoV6YvWdDvQaFQ6PH38Q2mwuedtQwzLSNZcM4rHWwZWp1PH6+oLBaIVkEJfmJsle9dlg0t2/xIzVauX+JWaW5iYN87wuJjr9FwEXMrFjKLRqFbNSY/jzkUbMiQa0aiXXzEoiyzR+VagRjdjevXvZt28f7e3t/Od//qf8ut1ulxXuzxTLly9n+fLlYa899thj8v/nzZvHvn37puRc5wpTQU+WClml40gr3pE8spEmLmlySTXqmJlioNnqwuUTUPlF78YfhD8esmBONNAyYMAeX5nPTz8op7vXQYG1ifwjNcx3NrKj7hTJlhq0vvBwnjTNuvQxuGcVcDw+i4qkaZxKz8OSmElAo6U3qCIvM4Hy1j7a7V4QBKLUAi7/YPhvaIb0kMWKAkgwaOl1elErRVX7Y029uMeR9xIAk16DQgEev48epw+rszfsPC19bq7KSaStzy0XWPc4xRDp0OyspOwfGj4LvUahntjB+m7a+z2kDdDo04x6ylttFKYbw/YZ6brJxill8PspaxGbiZa19MmvSQYxtAHnZJl0o923helGVucb5fdD69pg8nT6M6mpnEqK/SWcX1ybn8Lv9tVx9LR1VLbiSBjRiKWmplJUVMSePXuYM2eQCmwwGHjyyScnN9ovANbvqeYfJ9uxOr1yQfF4EKm2Z+gEN9JkMXRf6UGXKPKS5/bq3lpe2VXJvVeYefdwIw5vgJZeF8/elMeMxipuc1eQ+qsNzP/onySerkHnj5wDDcTFcSohmxPx2dSnzcCSnYd61kyyMhLZVWOlV1ARFMDmCRBwC0CA1upOQlI8+ILjM0TdDq/8h0YJp5r7wgzR5dnxNPU46ZS2C0GP08fl2XFoVG46+z3y+VUKyDDpmZsZx/yseGo6+vEFgmE5vtBzJBg0siEKDaHd/9pBPqnp4p2Dp7lzfga3z89gaW4Slm4HHl+QJ1cVyrV36/dUY4rWhrX1GMngSMbp1R2HZc97NEMxNEQZSq8fzTiMx6BK2FppY5/FFfH9yfYNO5OaynNJsb+EswtzooEEg5aq9v6pNWIFBQUUFBSQkpLCggUL0Ov1I216CVOAofmLSBOcNFlIpIzQ2iFpIpLCPc1WN2sWZMrJ/RnJBh5ansuKRBeznA7WcoyOAweY391A7DPV5HsGPawwLRaTiZ7peRzQp3E6LYfPTFkkzCng9qtmsuNQE9poPc12Py19bnJ6AtQ5BAT8KAGTQYNOpaLD7sagU9PnGsxvTYJEiMsfpKEnnBxS09EfkdAh7+MNiB2mBwmDaFVKHrjSzMaSRg7W9dDt8JJt0nNZipaP6h0oFYQZXH9A4Fhj72Dd1bZTWLqdOEL0G7eWtVL9wi08vbmMY4193D4/QyZfwCBh5ppZSXJbj7FyVm8fs9LY52Pdrkp2Pb5iREMx9DjjNQ6yQXCKC4BQNZChWJ1vxGQynTWV+EiI5KlF8lIv4eJHTpKBEy19BCOw1sfCmDmx999/n+eff574+HgWLlzIokWLWLhwIXFxcZMa7Ocdj16Xhylae8YPu7wa31vLV373aViH5qGFnxLeP9bCofpuuvu9zEqL4cH5KRx6dyvTPikm+NvT0F5HXkUF+HzkA0PX9M4Y0cNqycrhpCmbjKsX8417V/Dn4mZ21/XS4VfQH1Qi2EDb6uXJtYvlENkL205RXNctezBBoM/lQ6UMkB6nJylGKxfVSlArxDxUJKiGGJKREMmAxepU8uvVHXYCgtgoM0arxO4NEK1TyS0/9GolCkTh0iilF4NOjSAIOLwBTHo1AYGwlvYbii0cqBE/Z5pRR7xeQ7/bJxNppNxYaOsaKTws3RdDvaOhahTSNg/MN7Gx3CGHLiW9y0evyxvVwxpPSLG81SbLWAFjdoaekaAbd5nHeDEZpQxZl/I81oFe6LiYiB0S6rvsHLFYWTTdNG5Ch4Qxt/7Zz34GiBT4nTt38vzzz9PR0cGpU6cmN9rPOaa6fUMkVpo0OS2bmcShhh6+ujgbZX8/c+uOs6ijDs+hI8xsrUX3/WryhpRFyLmepCQcM/P5UJlEaVwW8VdejjMxFYVez9VF2ejbHFy1aDpkmlihNfHX5qOc7nMAQRINGrllitSM0dLtlL0rvUaJyxckGIRorZKWPjetfW4KUmOp6ugPU6WPBKkjdGA8VmwI1MpwwxYURIPoCwgEg+LrShQ0W13E6FTo1EpSjTo+O93LjbkGrpmVxEcVHYBI/gDYfqINu8ePOSF6oE2KA0u3kweWmLH0OGXjU95qk3NjQ1vXjHZfRFqUvHDnXJZNjyErM4t1uypJM+plnURgRIMIwxU7RhL+lQzX/UvMU7LwmmpcbEoZFwouJmKHhNaBtkqpsVHjUukIxbg8sZKSEqqqqoiPj+drX/saixYtmtxIL2HCeOTamfz3vloeWTGTqrZ+3txXRbTbwfei+8jcvp2bP/sMniiF6mpm+iOrU9iNCSiK5mBYcBmtiYmkX389pKXx5oHT7D3djykxlt6YaPaf7mdpUgJLr5xFaLpBqjmSPIEMYxQbS5rQq5Xc/1oxp1psYa1RXL4gCiDNGEUQgYw4Pb0uLx12d5jhGhpRlBiFOrUS72TijYSHKaM1ShQKBWqVgj6XX/bsuhxe2WO0ewJyLuwfNf3csSAe/xDrKvUte2lHBVmmaLlJpUSo2F3eTnu/B0u3k6dvFb2VSDJRcplDskH+LlfPzZA9Ikk4OHTSlsg5Hn+QG+cMtloZK1w4VkgxlNk4FeK2Z0Mkd7ILwkuCvRcfXN4ACsSeehPFmEbsxRdfZNq0aXz1q1/lyiuvlPUML+Esw+cDn48bEoMkKE+zYscndD51kG9XlDOtpwV1MHJOwB6XgKKoiM5pM/mLy0hVsplOfRw3zk3nezcXUVfVyF+6dayakcjMRbFs6avk+qIsXv+knk6Hjy67J+IkEKp8v3LdxwOtW5qwuUPquBSD3pUAtNrcMjkjGBQihgfVykHDo1MrcPsFXL7JGTAQ604k9qI3EMQfFMN+xigNBq0ah89PXnIMeyo7w/ZRKCAuSsmuU+1EqZX4Qjo2RA2MS4AwZqhkCHaVtyMIYOlxhE28UjFyaLubdbsquXJGIjtPtBEEypr6sDp9cg6tyeqUw8fLUsLJPNLxzAnRYbV8MHzivn+JGavTi9XplZmRoYjEbDyTCMKGYgt/LWliy/EWXl4z77xS7S82wd5LgIZuB7kpMRgmGEqEcRixgwcPUl1dzeHDh/nlL3+JxWJhxowZ/PznP5/UYL/IiLhC9PvB6xWNVm8vHD8OR49CWRmcPIm5upoZA0y+pKEHTE2FoiKYM4fWrFxeOq2gTojmpnnpVHQ6aXJDUBdFYkIMK2+9HNLjePfDOj5usNEuiI3rGnvcbCxppMsusfsUbCi28N4oE9LjK/N5aUc5STFaylttuAcSW5dlxdHv8dPQ5UChULBsZhL7a7rC+oOJZxhk/4V6Tu4REmSh24+FUPr9zOQYHN6AbLz+7Xqxp9ePNpWGGU+3P0i2ST/QqXrQKEvbuP0CCdEaEmK0MjswNEf17aUzZBZoKELDhFK7G8kY7avupMXqErtfzzLIBjE0fLzsK9PCmH/fe6eEf5xsJz0uCqvTF7H9CgyGL03RWt4/1hKmLDIUZxqyC83nSUXxk60Xi9SDbDJe1aUw5MUFu8ePpdvJHZdnTmr/MY2Y3W6npaWFlpYWmpub6e/vv6hU5c83ZD1Iv58PDtdRVdXKR34HhfMT4dgx0VidOAEnT0JNDQyhnkvftC8lFc28uTBnDsyZQ0PqdDY1urnj8ixyUmL5rw+qsSR5iIs1cPMtC8nv8/J/tpzCFwzy8NX5zEoXiTi3zDISF29iaW4SW8ta5DDWSzvKaba6sHQ7uO+KaWw6KnpZz289OWxCkTyA0qa+MO/qxTXzAOSGj96AMKzearyEjVDEDKhrTAQFqTHkpMQAsKOsDQF45v0y/AEBm9uPAojRiUoeaUYdSTHaASMmQqNS8I0lZraWtdJu82BONDA7wyizDaX2K4IgUNXez/p7FwCEsUal72koYQPg1QcWhUlCSf8PbWIKw8sGQCShmBMJa/ESKlG27Gd7MCcYuO+KacDw0ouhHnaogQuVt1o2K3lM2apQ4ymN/Z6FY+vdRUKkounJeFVf9DDkxUbseG1/HUFB4MuXpYe1cZmyViz33nsvCxcuZOHChdx///1hyvOXEAF+vxwKxOtF190tGqkTJ3iguITrPjlM6ulagl0tKIURwmYZGbKxYs4cKCpCk5AgvqdQgErF9uJmDtr9KDrh+0tyKPY1U+cRSI9SkZeVQF4W7K3q5P1jLWwta5EnUYllJq3qb5yTKlPBH333KC1WNwdquzDqNbh8HvqcPjkctaHYwuajzWw53oLD4ycowPQEPc19bpmdt6HYgqXHQeMAFV6jUuINCc3FRWuwuXwTotgrlaIUjXcC1i8nJYaPKjqJ1iplL87hEePukmdn9wRQKyFer5XzXiB6YDfMTuWuRdnctShb7pL815Im/vZZM5dPi+eavGTS46Losnuo6XDw/T99xsLpCREJGjBcjimUfBFaO/bCnXNlAs9QBl4o8/XRd4+GtXgJlShr7HHR1OOizeYK6+gcahBGIn6EeoKWHufg9gWRp4pQr2dDsYWgAJaeyF0IxkKkWrhz6VV9XsKQFxOxo8fh5e/HW5iXFU+T1U1TSNun8bZiUT333HPPjbbBfffdx4oVK8jMzESn04Up2V+I6OoSJ4Pk5OFtSM46XC6orIR9+2DTJnjtNQy//jWqn/4U3nuP6IP/JK3VQozThmJgam2LTaJl9nwS71sL3/kOPPkkPPww3HILXHEFzJgBCQkQGwtxcZCYCMnJxCaZaHIJrLlyBsnGKBINOsrbbPz7TQXkpYqtczLi9Xj9QTpsbnaebKfb4eHKdA1dfh2vf1JPv8uHyxfgqpxECtONLJ6egC8gUskTDVqK67sRUBAICmTE69lb1Um7zU2vy0+CQcOKghSev2MuWqWCN4stHKrr5nCDlWxTNH0u0YswRWvoDasPE1iSkygbufHA4w9OyHtTAHmpMbLcloR5mUbmZcdzusdBYMCIBgWR6OEeSCwLgG6gB5jXH+Qri6eREa9n16l2Tvc48fgFTve4ONXaR3u/Rw6V9rq8vHzXPLz+oFjw3OPgK4umkZcay/bSVh5+p4Qkg4681FjKW238311V7K3q5B8n2zEnRjM/O577l5hJjh1sS9HV1UWXX8f/3VVFRryewnQj1xemkhyrI8mgo7LdxuMr8+XrDZBk0FHa3Ite8//Ye/P4pup8//+Zpem+72UpSwsUKaKIFKsgqKggAzojLuOMyyiOV7ii82OuI47f2RxnH7069+tw74w64qg4V1BRlC8ooizKYm2FAm0ppXubNm2aNHvO74/0HJI0aZM2bdP2PB8PHkBycs77nJN83ufz/rze77eK1i4rLV1mDla1kZMUzdyJSVjdUgXeKWnAandyTcEFwYhKoeDrug7WL81j1cU50vaYuzx+U+I5FWQl8MOrp0sFk8Xt3c8jUPIz4/n+oike55MeHymdsztarTbkv/HB2D8U9gyU5pZWWm3BX//hxuEUeOXQOcw2B3dePpmoCM9KULmpMSRER/S7n35nYmfOnOHHP/4xnZ2dCIJASkoKv/nNb5gxY8aAjR+TvPkm1s0/JeJsJQq3hD0Plz9pEobpM3jPkcxX8ROIuriQpAkZrL54AmTGu2ZZEREQFeX6ExnJGZ2F14/WsfayBArSLjwxz/IKmUxNj2Xh1FQp3AUXwir/9toxD1O3Hq5B2+XKidJ2WXni7VKqWo2sX5on7XPr4RrUSiUTkqO4qyhXqkQSoXIFCM02J/MmJrHuH0elMNzpZgMxGhXn242YbE5MNic6o6fEPzpCRUJ0BBq1EofD6TdPbDBMz4hlw7J8nv+4QrJNAZisTj493YrF7aCpsREYLXbMdoE5GZGYUXtUlRevxeGz7QiCArVSwCm4ulALAsRqVFgdTo+CyyV1HVIJqhVzs6Uw2eNvl0riDF+Jz77wNzvwTnwX9zE1PZbF+elSCNO7K4G4D38zHO+CwFKdR68+Wr5Cf6FOLxluRrv9o43dJ5uo05m44/LJJAUpq3enXyf21FNP8fjjj1NU5JIVf/HFFzz11FO88cYbAz7oWKTtD8+RWlVx4YXJk+Gii2jLyiJ1yRKYPRsSE4kDLm8xcPZYLSq1mpuL8yAmmmdPtrHisinMmODZQfuVwxW8U9JAs97skRvknfzalzrMIwG7o15SrulNdhKi1Xx6uhWj1cFzeyvY9U0jp5q6yE2JZems9F6JtbOyEqhqNdBttfPMrlMeggtVT31Do9VBdIQSh1PwCAEqcCUON+jNXFOQwbwUJ//3y3YpHysQ+hJ5KBUwIyOeaRmx/O/RWvaebJa2F4BTzV29PqM326XZ1IkWC3+58yJ2ljWgN9l5/uMKNizLl64XuKr8//1ANSabgwi1kpgIFU/ddBEr5mZLSj935wSuMNnjb5ditTulEJ64P28H5r4uU91uQdft8Kik0atK/fvlHKjSUtPWzdb7F/qswekrB2ywA7Z36G+srCfJDA9fndfxWYWWhVNTKJwwuMIZ/Tqx7u5uyYEBLFy4kO7ugcW8xzKPXfsQhVmX0hUVyz33rWDqdJcT6aiqInX6dNfCjloN0dFMz8ggql3F9pNazOdt2B1WdpS00OpU8/TNnk5MrAChN9k81k1EYQG4El+je6TlZruzlzqsIDuB4ulpbHj9OGsLYll3o2uQOVSlJScpmjsWTGLbsTpSYi5U1TjV3MX8KS5bNm8v46bCHJJjNBRPT+O/PzsrVYMXmZQcTaxGzanmLjQq18pTckwEzV0XwnkC8EZPzcZYjYpPnE5yU2PRmVw9u5Ki1dgcrmoZ/kiLjaC929YrvBipVmB3CBitdvaf0br6j/Vs5Gs9LTFajdXmxGR3olaCw+kSnTyzq1yavakUF3qGiekF//baMSlEGaFSoDddUON51zCEC4o7915sonJw+/F6SRTia91Kp3PVK3SvpOHtpGrajZK8Xzy2+99DNbvwbsEi1ogU7ZIZOcJF2CG2VPHmm/pO3ilp4JLJSfz224Wo/fQRC1krlkmTJvGXv/yF1atXA/Duu+/KuWI+uO2Oa3n980msy9UwNS+9J2s3klJbDL/ZU8cdxTNYdvGF67ZigZJ2h5LbFrgUZAK+VWT//LKGqhYj8ZFqj6f73JQYItVKZmTGc1dRLrf99RDgmqn4KhIrhn/+2mViW/k+4iPVOAVXIq/J7uTNBxfxnf970OMzYiKs++Dkqg3ocmBqJeSlx2O02fnJDQXsLGugstXA5VNTSYhWc7xGJ+1LbE5p6HFQ4t+VrReaThosdn58/Sye3XOGbpvTQwYvIjow9xlZeqxGKgBstTtZPCONnIQoXvviPDGRarotdkDwlPY7BOZPSeZAZRtF01LZvHI2T+84RkX7BQeqUSmlPKvPzrTywieV5CRGo1JAVISKOxZMYl9Fq8/rLd7D/WdaqdWZ2Has1qP6+11FuXxR3Ua9W8NM8XXx7+qzjl71CqPVSix2B9E9SaE/uaFAmhGJDnPt/EkhnRW5CkdX88i1Go9Qo3tI8fk7LvWZlybP0IafcBF2+Gqp0tBh4skdJ8hKjOLvdy8gOXbwGot+hR1XXnkln376KX/729/YtWsXKSkpPPHEE0RF9W4nHQ6MlLAjPzOeWy7OITczAVJSOOOI5IWvtLz6TTslLVZOtBj4/qIpF+w0WCit62TuxCSPBXuAZ/eckRbdS+s66TTbiVAp2bxyNlsP15CTFM0fdp+mWW8hLkrFj5bPlBbkf3TdDG5fOLmXfaIQwGxzUN9hIUKlpDg/jbyMOB64ahpbD9fwTYMeh1u1ik6TjfXL8iSxwssHz1E8PY1OkxVBgF/fPBe7IHCspoMTjZ3cvWgqCdERrCzM5n+/qqO500xGQiRLZqRzUU4ClS1dpMZoEBBIjonAbHUwKTmGrIRI2rutOASoaOmi02RHwHdZqqgIJXanQEKUGovdSVZCJBOSo2nSW4iOUGK1C0xJi0WtUvL0LYVsXjmbDqOVsoZOvnVxDgiuYrxT02K5/6rpJMVEcPHEJP6w+zQKwUmD3k5qnIbkGA0FOQl8Ua2TwoB6sx2TzcF3LpvEr24u5NvzJ3kIEbzv2zslDczKikejVvYSYKTHR3oIacR77y5ksBt13HbVRR4ig/Wvf4XJ5qSsoZO89DgOVGl5/MYCrshL46HXjlHZYuTrug5ONXX1Em0EgrcIBeDel49gsDr5uq6Dh66+0AHaXVxyRV4a75c1srtHQLRybk6vaxKsLYAkgslJiu4lehnsb9zfvgeCLOzojbcwo9tq53t/+5I2g5XXHlgYVM+wvuhzJuZwOHjxxRd58sknQ3KwMY9G41ISAq98VMU7JQ3kp6iJjor0mwgLveXO7k/j7k0I3T/jvSbhviDv6+lXFAI8+spn7DzTxfWzM6XmmeKxatqMfF3bIdUeLKvv6FXZQddtJTc1ls0rZ1OQnUCdrhu708n5NhMHqrSSkERUH+pNNvQml7jD4USaMamUrsry53vk2OKEy11NqFK4wpTuletNNldicm5qDDVt3TToTNJnZmXFMzsnkZq2bj4sa+KfX5xHo1YwOzsBtVLJ0RqdVDyyosXAMx+Wkxar4c0j57E7IVoNSwuy2LDMlRT9/McV0npUbkqMlD/lqxOye0Fd95mTeA8+KG3kqt9+TG5qjHTtBhLqW780j9/vPo0CBX/ac9pDyr92/qSePK0LBYuDxZdgY/3SPJ7rCYm6E0gLlsFI5MUO5GIJslCEKYNpPyMTWn658yQnG/X87e7LmOH2QDdY+nRiKpWKEydOhOxg4wX3Ae2mKSpWFM/rtY13fo13tQX3qt3uA4XYPbivAaSvH+fRBhM2h8C+ilbcH00KshNo0ps9iueabQ7KG/U88XYpJxv1REeoOVajQ98jxHj65kK2HavF5hBIiFJ5DFRi6M5kc/J5ZRveGCwOUqOV6EzOXjUURRwCzJ6QyMSUGGkfkWolhRMT2X9Gy+IZaR4JytlJ0Tx9cyE3/+VzaZ8Wu8CZZgMTkqM422rEKUBmfCSaCCUNOpPkbBU9x0uO0VCQncDm7WUeld0LshOk5F9fZZzcC+qK73k3KK3VmajTmTzCh8Gybsl0yQ7v+ow17d04BVfLGn/7937A8f6/r1ytdUumc1WGlYKC3s7bHV8dHAazJvenPafRm+0kRKlDlifm/fDo/rfM0LHvdAuvf1nLg0umsWxW8DPyvug3nHj69Gm2bt2K3W7n/PnzVFVVUVVVxfTpfX+hR4oRzRPr4dk9Z9h9opl5k5JYMklDenp6r9CFe9jIYnNS1tBB8fQ03v6q3m944+WD5zhW00FMpKrP0IyY7yKGAC02Jy8fPEdOUjRJGGk0IYW33MNHk5JjOH5eR4RSic0poFYqqGo18OU5HQ6nqzyTyeIgWqNi+exM/nagGqtdQEAgNyWWk416pqXHsXBqKm8erfUZDkyP09Ddsx5mdQgkx0b0qpWoVLgaUVodAhnxUdS0d0uOU6NUUDw9Fa3RQqxGTXWbayYXF6li9cUT+I+3Szmn7cbWc/BItYJHr53BD6/OY1dZEyabgxmZ8Tx7+yXsO9Mq7XfZzHRmJKt4YOksj3si5nqJ99VfaKy/HKO02EhK6zoonJjI+mX5pMdH9hvO0mq1HGm09wrvid+d/Mx4jzB0IHlO3ufg/X9fuVqiLf39pvzldA0UMVz505UXcUWeZ9G1gYbv3K+Rdxh/MMjhxN6I4UST1cH3/vYl2YlR/Ocdl/gVcgyUfoUdnZ2dJCcn88UXX3i8vnz58pAaMpbweMLrya/pa3bkr31Hn/vtA+8QoFhBoqbNSE2rnp+sLPRQl4k5TFfmp2GxO3E6XSIIi13ggNcsSqEAg9nOq4draOg043QKTEyOprSug5JaV0HbLd+/jE3LZ/LnPWcQBEGqiRinUTEzKx5jTQep8RocNitNXTaSoiMwWC5U8bhieirpcZHsLGvkbIuBBr2ZWI2KbqsDk93JtmN1OAWoajFKdv3u2xdL5yISoYLvzJ/EVTPSKchOQN2T43aqSU91q5HCCYk0dpiwO+FojY43b5sszaIOVGmpazfx+NulAJL6UNdtpabNyL+9dswj/aC/GYevmRd9cwAAIABJREFUmfPWwzW8fbyeL6rbPBSK7vgK7/V3393xVRgYen+XwnE2MtCO0f7oS2TSnwBlNAlUwkWdaHc46ey28saRWpr0Zp67vahXQnMo6Hcmdu211/r8E66Ew0zM/YlUfELr6ylZfO+2yyYTE+kKy2kNll5P6cE+6eYkRdOsNxOhUjEjK44zzQZqOyycbtZLIpOvanScaurCbndisjuYk5OIUxDostg9JPSxGhUJUWqMVicCEKdRSxXsp6fHolIp6TTZ0Zvt7C1vRqFU8Ke18zhQpaW9J+HZ6hBo6DCRHKvhnkVT+OBEKwKuGZ5KqcApuKTvdTqzS2QiuBSLAE6ngBPXOllKrIZOk7Un0dhl5WcVrayck43eYiNKraLL4gpDlTdeEDh8UNpIk96MUxA41aznREMXBdnxdFsdrF+aR26sQ/re5CRFs/2revRmO6V1HVS1Gpg7MYmKZgMfnWimqtWIU3BVMglEHOBLMGGxOfnkdAs6ow27U5Bmd+IMLV5pY1FBrs/KHIHiPdPy/g4F+p3yN9MIpTgiGPqb+fiyq6+Z9LN7zrD9eD17y5s5WtPOtPQ4j/PpT6ASTjOxpuZWSrUCTZ3mEf1TqzORGK3mP94uY+HUVNb3rDWHGr9OrKKigpKSEqZNmwa4WrJ88MEH7N27l+zsbDIyMobEoMESDk7MHfHL7a5G9P6xi+GrP+05zW2XTeaKvLSAVF3+BhBpEIyMYGdZA6cau2jpMqPrthKnUfLTlXOkAfHH/yrFYnc5pm6LneK8NO68PJdDZ7XYnU5iNWqSYyN4ek0hX5xrR2+yo1KA3q0g76W5yVwyMYmval2yXoPFQbXWSJvRgtUu0G60SHldTsH1/qGzWs/eYtK/e6TwgoBCAWqVwkNSnxKroaXLglNwla1RKhUocDnC8iY9r9y3kPPt3ZxtNZAQFcGi6ak8cNU00uMj2VnawPl2E5kJkTx+QwExkSoevW4mt142iXe/bmDP6TYKJqZK4d62Lgul9R04BTjRoJeUhG1GC9PdVJ3u98nfPRGVg+4PEC8fPMeJBj1JMRHUdZjIio8iPzNeuvcWu5ONN8zxGd7r63vg/n/3UlODcTL+BunBqg/9ncNA7enLrv4eJD+vbKW2vbtn7VTwOJ/+QrXh5MTCJZwIcLSmnf0VWp67/RKyEodG0e7XiW3evJkrr7yS7GzXdP6ZZ57h9ttvJzMzkzfeeIOVK1cOiUGDJRycmPsPEnMXRxrt/HDrMb6p7/R44nbHe5Dz9aMR9yuucYm197wHEPEHXNbQQb3OjEatpMNkd9ULFARONumlGYFKoeCzStc1U+AqyFmr6+ZMswGHAJmJkSydmcGSmenMyUnks4pWLG7JW4nRav5tSR5/+H+npXWomAglSoUCoWfwB5g3KYkm/YXinr7Wy9RKsDlc9RWVSpcDE2da4ubzc5NoN1ixOgSUCsjPiJfayIjNLGdlxnPobBvdVjsOQWBFYTbp8ZHsKW+mWmvkyvw0rp+TJT1UbD1cw7slDdR22nAKSM7o5++dxGRzYrE7SY3T8NSqiyjITmDl3BxWzs3xWS/Q36Duq9ZhTlI0NoeTug6XwOR0s54FU1J448ta2gwWrpgUw+KL+q8I735Mi83JD7ceo6znu3bbgskhWffxN0gPtl6iSLDOsC+nUd6o59MzreSmxkgPMND3rFNMeWgzWqUHFPft+puxyk6sNw6nwEsHzjFnQqKk+B0K/K6JtbS0cOmll0r/j4uL4/rrrwfgzTffHDKDxgIeCqhZ6oBUVu6qMH/xd7HE0IffNNJpslM0LcUjARq8lJE9nYJdVTaqONXUhc3hpLLFyDMflvPPL2uoaevm5nk57D3VQkRP4dt2o5V5kxLRGqzkpsRK51I8PY3E6Ai6rXbsTpdS0OF0rR9p1EpJoNHd87dYRUIQ4GRDJ8kxEei6PWspujMxKRqz3Ulntw2T3YndKUjVNARcqsI7L8+VEjnFvDLRwUWrlRRPT+OJ7WXYetrA1OvMPP9xBckxGuZNTOJMcxfzJiZxz9+/7OnGbGTzytmuMlx6vUe9RKPbbFOjUvpcC3Ffh/qgtJH9Fa1SMV93+lrf+d7CXKkf2dbDNVIy+UeVXQSS3OK+rrXh9ePozXZiNSq/DTFDSagqgoRybc6XUjQQ3Bu/ygyeI+faaemy8NvvzB3S4/h1Ykaj0eP/27Ztk/7d3t4+dBaNAbyFHe4Oyt+Pyn2Q8+62Kzq1ipYuhJ7iswAJ0RG9BhD3H7D7PsXafm8eOY8CiI1Qc6CyzVW1PUJJ6c+ul/Jyuq12qlqN/OaWuUxNj+Xp98v58JtG3vjyvEe5J6fTSXJ8pKtqe5uxl5Q+qsexCYDFIeAw27gyL42SWh0GNym/GCo81xPqy02N4VTzhUoeP7lxFru+aeRMs4HffXRKOn9wfTArIRKbw0lHt62n7uEFR3nLpROoaTPy0TdNREWoEATYdqxWKod1sKqNp98/yeaVs6GjXro/dxXlsu1oLY4eZ3j97EyPPl07y1z3x13c8ac9p6ltNxGp9u3wvBEfduZNulA7TszXq2nr5ntzA1sDc3ck4nctKyGKj8tb+LxCO+KdlgMhlOWxwlmsMhyEg7DDaLHzmw/LuWRSEnnpsXR2WwNqqzIQ/DqxjIwMvv76ay6++GKP10tKSsJ2PSxccP9BlnfUB62y8v4RXhjskoiP6l1lva/PiogztIieUk5Gq53ivFRq2rql2d+BKteA9/jbpVKH3j2PXU2T3kRbjzhDgavQL4DN6Sojs7PM1V9MrQRBUOAQxPYkF2YySlwhxIRoNW/98ApuffEgBouDKSkxJMdqpPW0Zr2FZreEZ7vT5XRa9BZXceE2z7qdDlzhP123lY++aaKsrpPJKa4E6ZmZcdxVlMu6fxzFKbiKE09Kjuaxa2fy8/dO0NyztvZ5ZZtr5tvTM0ssrjw9LZZanYlHrsln27FaV58unYnKli6a9BaUCmjsMFPVamDt/IlkJURhsTl9lqFyvw/iLFtUO4oFmMXrvfV+V63S8vLygFVx7tvteexqyhv13PKXA+jNdn7u1tg0XAml+m+8V6Mf6bJTgiDw5tFaukx2rshL47OKtoB7gw0Ev05s06ZNbNy4kVtuuYXZs2cDcOLECbZv386zzz47JMbIuPD+EfoqLBvoZ8UBuay+k7YuK7PSo+hyqHjs2plMTY/l+Y8rpNnL4bPtHDvXjs3hJCUmgrXzJ7F5exlX56e7koIFge8V5WKyOznZoOer2g4cApTUdNDQs94VqYa52UlojRby0+P4rFLL3UW5NOjN7D7RTGOHiXX/OEp+RhyxSht3Fs/i5++5EupTYyMwWOxSqxSNSkGESkl1q5H5k5P50q0Wo0ikWkFuSgz7z7S6xBgGK1fPSqc4P11KJNcarMRoVJhtDgonJkpNQO996Uua9RYyEyI90iGe/7iCD8qaALgyL5WrZqSz65smotVKZmUncFbrmiVGqBScatRjsjt56eA5FAqF1GTUH97Jtmeau7A6nMRqVGQlRPFBaaNHAnOgVSV8JcwnxkRg0ls8umsPxCkOh6RcbLjaV7qBP/qz1b1bta9qKzKh5ZPTrZTWdbJ8diYTkqKH/Hh+hR2ZmZncdNNNfP311xw8eJBTp06RnJzML3/5S6ZOnRqSg+/fv59169bxj3/8A7PZzPz5nvFoq9XKj370I/74xz/y3nvvccUVV5CQ0PeXOxyEHSIflDbyH+9VkJUYMyB5tIi4qKw1WPg/737D+2WNTEuPk2T47snM3uo0UbTQZbIxOTWG9Zen8MvbiiQV3LslDVS1Guky2zBaHWiNVuxOgQiVkszEKN4paUBrtKAz2nAKAi09Ybia9m6MPSHBLre1I6cTGvVmchKimJGVwKnGLk41dxEToaK2w1UiSt/TrHJOZhStJoEvq13h6ckpMWgNVmmNyyG4CvU6gRaDhYsneopD1Ep47rZL+Z8DZznX1k1yrIYb5mSREh3Bv47VcaiqjY6elifrFk8jLsr1zDYtPc5V2T8vjfZuK7GREXxd14HVYuHtb9pp0Zs531PJw2p3svdUM6ebDTgFWDorg6oWAyabk8SoCCYkRaM1WlEpXbrKvIw4qW6gL9yTqN8va+RItY5JKdHMz03mi2odR2vaOXy2XWpgOjdvUkDCCV8Ci5zEaE4363n8hoKAErbd8d7Ol3AhEEVhX9t4qyg/r2ylrt1VvmzBlJQ+z9fdnv7O6d6Xj6A323vVfgwlsrDDNQM7WNXGRyeamDcpiRWF2SgUrkeoQBtcDoQ+88RiYmIoKipixYoVrFixgqKiImJiQlO00eFw8MADD/D3v/+ddevW8atf/YoFCxaQ0lN7EOCNN97AYDDw0ksvERsby9atW7nhhhv63G84ObGHXjvGuXazpDrzJ4P2/rH6yikCPJxOtdbAXz6ppKy+ky+r2zh0tp23j9cxLS2O98sapR+1KAnP6FHSzUhSkj85C3ANfKJcvEVv8Vin+tF1M5iTk0hZQwdX56fT3GUhKkLVI4ZwOTC10n9/r3ajq6J5l8WGyeakvtPca5slU+K4/Yp8qrWudiK1OlOvqvXLZqZT12Hi7qJc9Gab5FzAdeAIlYKzrUY0KiU5idGoVQp2ljZKDrlJb8FoseMUXAvNlS0GSSF6pLqdvx+o5myrgbOtRs7qrJTUdTEjK57MhEgEAaalx1Le2IVGpWTBlGTWL8vnWI2OJr2ZWVkJJMVoXPUfe7b92bfm9Dn4uldduasoF5vDyeM3FrBwaqpUI7BOZ2J6RhwLsyMomDoxIHWhL/Wcr+obYu6g2ebolQvljrtT1BosPP/JWaZlJQeVOwXwf979hndLGjyKAvv6/G0LJrNgSgoHqrTU68zYHM4+c/DcnUZ/Ckn3btXzp6Tw6Btf8dDW49RojdwwJzRh1vHuxOxOJ+9+3cC+M63Mzk7gO/MnolJeqMwxlE4ssIYtQ0BpaSm5ublMmuSSEK9cuZK9e/eSl3fhSenjjz9m/fr1AFx//fX84he/6MkfUvjcZ7jx2LUzeeb9sl7Fe5++uVDqlKzrtkqKKDEssqe8mWa9hWc+LAeQRCF3FeVyskHPmeYuyhv1kuLRZHM5H1NPrpl7WwxwiQ82vH6cYzUdYIlhRbHLPnc11pZPq/j1rlMAREe4vnyb/vU1JqsDi92JrtvG4hlp6E12DlZqceJar1pRmEVjh4my+k6cTpidHc/pFgMRSgW1OhN93amXjrfzed1X1LR3Y7U78XVbj5xrR6NScux8B6eb9B7vOYHtPdc0OkJJaX0nJbUd5KZEY+lwOTu709U2pabdKCVni21MRNVorEbFkpnpzEtxUmOO8ghLlTfq2fD6cRp0ZnJTXV2ztUYLKoXr79hIFSoF5CRH+w2DuTcwvanQNZBLTS3dQoTuIh738OZg8A61ib3M3ilpkHql9cfWwzXsqzaQ7FXzMTclBqXCdT3du0sHiq/eZ8/fcalUF1K87tB3KLW/NTDvbtU7ShoQev7+8+2XBGzvaGG4hR1NnWb+uPs03zTouW3BJL6/KJcotdKjl1igvcEGwog5sebmZrKysqT/Z2ZmUlpa2msbMU9NrVYTHx+PTqfzmK2FMyvmZjM1ooOCAtcaDFz4wepNNhxOwUNJJzq6uEgVCgXkpsRKZYceefMrnrvtErQGl8DB7nRVc79+diZ/P3BO2sfa+ZN6DVQADTozE5KjyImP8KimLh5X120lSq3EIQg4BXjhk0qpOaW2y0JuSixfnG3DYLFLxXWVQGOHieykaErqOhGAKq2RhCi1JARRKlz9QG0++lw6BDxUiElRag8xCCAVJBaFH/6I0ahIUCpdM8V2EwIwKzMOuyBIQouH/3kcAdh2rI4nV13koRpdMTeb8vJy1hUUUN6o9xiUxYH1rqJcnn7/JLXtJlQKaNVbKJyQyO2XT5Z6r/kayN0bmALSPfGmV3HeIJ2Yr7UhX2tqgaj3xM+JSsmZaZG9tt92rBa92S6VAXM/hoivosAivpyPe8m0+p7vbKhVhmvm5bCjpIE18/yHfUczwyXscAoCh6ra2H2yCYVCwdrLJnLxxCS+ru302UtsqBgxJyYIvYNQ3jOsQLbxxmKxIAgC5eXlgzMwRJjNZsmWu2apoaPeNTjZTCgVgM0kvV+c4UCXG8287GhKGk3My1ayy+hABdgcAs+8X0ZajIpawGYXKExX89E39R5OpaSqnvIMq7Sv4gyXE9BNjeGmmQn8+tMm6vQOanUm1r18mNykCI43mLg0J5pl02KlY0eqFHxYocfudM3wKlq6POT1KoXLCX1V2wl2C/OyojjZYsZkc3oU9HUI4PDfqFkiUgVTk9R85eXExPOKj1LSafaMNc5K0xAdoeR8h5XJCa6nvuauC+HN1i4TCyfGQFczU1Mi+cH8FF4v1bH2ogTKy8uZGgHP35gJdFBe7urB9fyh/egtDo43mNDpdGxYlO557xou5KjlxKq4aYqKqSlqnj9Uwb5qg8dnRIozHNRMci1w6/V69p0y+dzu+UOtHvtw/+5489k5A6+W6PjevGSumhLn8/PiscXvgfu+PL6LPhA/d7yhgyaDAyFB1Wv7tQWxvGqxcn1ePA1dtl7HCPRYfo/f85319dm+rk1/rLs4inUXuyoRhWqcGIw9gVBQUBDwtg6Hg8amxiGzBUBrtPPJWQNNBju5SREsnRZHfIRZOm5bioKuppqQHa+v8/frxH74wx/2udMXX3xx4BYBWVlZNDU1Sf9vbm7uJd3PysqisbGRrKws7HY7XV1dJCX1PU2OjHTFgoO56UNJeXm5T1s2J03o9dRcAFKoD1z5YhXt7SzKS6NJb/JQFILrKbe61djTFyuS7KQoKW/Je1/iv+v0R3i11JX03NZtp3ByAjdnuXpgVbcapc7A247VolCoWDgtmZMNnVKScoQSUuMiuakwm9eP1GKyOoiNjSM3NYbYWM9cMY1KwUU5rhyomnYjChRMTommosWAweIgPUaFUqVGoYCbCrP56GQzl0xKAgS0BldtxFPNBtLjI/k/qy7iQJWWxg4Tn5xuJTclhj9/d77UNuWdkgYWz0gjNtZGeWMXaqWC/Mw49td0QmQsyS127rryIp689cIsSeyELM7Enj+0n/01JhbPSJOuifesqiCnk88r28iMj2TLPZdL729ImkCyn5mY+71wDy2SNMFjW+99+PvuAGzYtY/aThvbyo2su3GBXxu8vweBIn5O6hZdENvLloICWHdj8PsO5vj+6OvajAThZI9KpSI7a2hSKrrMNvaUN3P0XAdRESpunT+ReZOSek0uUtNSmZjcf7WZUODXid13330A7N69G61Wy7e+9S0A3n//fSZMmDDoAxcWFnLu3Dlqa2vJzMzk/fff549//KPHNsuWLWP79u1ccsklfPTRRxQVFY2a9TB3vAdLCL7iuPtg515VwLvfWCBERij5XlGulGsmDcSvH6eyxchzeysw2RxER6hIj9PQLjowlYKFU1M4fLadU81dLJl5YSYhOhFxjexMs0tAMTsnQQrDVbYYMFkdkoCkw+Jg7WUTpEoTYm+w3NQYqZQUQHOXhZ1lDX6rKRRPT+OL6jZuKnQleIvXe3F+Ormpsei6rT5l6s/sKqdWZ+IXO0+ws6yBxi7Xut+GZfl8dqaV2/56iPVL86T+XXcV5Urdtb3vSaC5SX2tSQWT3+Sr79dQ5EeJOY7hEtmQGRlsDicHq9rYd7oFm8PJFdNTWTorgxjNiAXzJPxacPnllwPw3HPP8dprr0mvL1u2jO9+97uDP7BazVNPPcX999+Pw+Hg29/+Nvn5+Tz33HPMmTOHa665hu985zts2rSJ6667jsTERP785z8P+rgjQaDtNPpqjhko7k/68yYmSeWMxMH9d/tbsAvw3N4KDydU3qgnKyEai91JWqyGr2o7MVodvPt1g7TNpuUzKalzhdNq2rrRddukslfiuoc4MzrdZCA5JoL9Z1qpaTNK1UHcOzerFfDPL85T02aUBmW7/UITzVjNhYXhxg6zxzqVu8MXW9kcqNKyYm62dL23HauVEn+BXmWYclNjqNOZEATYfaIZp1Ogy9EFuK6P0ergub0V1LR3e9yXwTgKfx2ggyWQBPrR1D5EJnSEStihUSnQqJV8crqVFz+torHTTHFeKg9fncfk1L7Xu4ZSyOFNv0dqb2+ntrZWUhHW1taGrOzUkiVLWLJkicdrjzzyiPTvyMhI/vM//zMkxxpJfD01+8JVcqib/RWtfFDaOKAqC+4igs8rtFLlDXFwt/dUhDfbHOw+0SzNBsSafaJTWvePozR0mIiLUtNpspMSE8FVM9KZmBzDmeYuj6oh/pKz91e0Utsu1mJMorHThNZgkWT0aoUCAdfisHid/v2N44DLxkeuyefVL2po0Jlo6DTxdW0HO76qlypo1Pco17yFCuL1vjo/nWv/tI/Hrp3pc/YjzqqKp6exs6yB49WtNOjMbD1cw4zMeL6q7WBGZry03+LpaQGp8DwUhj33RPzMQOv6DYRAE6VlxhahEnZkxGv46/6zHDmnY1ZWPL//zsVcmZ/W/weHmX77iU2ePJl///d/Z+/evWzfvp1//OMfPPXUU+TmhmddspHME/OV+6XVarliztR+22mAK9fnv/ZVck7b7dGyIxjcc7++dXEOjXoTV+en84v3T3J1fjqteiMPL5uBUxBwOAVmZcbzi/dPUjw9jazEC0qwc21G8jLi+NbcHL6u68BscxXkrdV1c6ymg6zEKJ6+udAjL0fMbyvISuCHV08nKz6KzypasTkEpqTFYHU4SYuNRGt0hQrjo1TYnS4Z/Pl2U8+2rt5i/3HDLAD2nW5ldk4CWYnR1LR3Y3MIfF3XQWe3nbQ4DQnRESycmsptCyZLyd9LZqbzo+Uz+cX7J6XOAI/fWNArl+hIdTv/Ol7LommuqvZfVjaBUs2dl+fyncsmAvDodTOkDsAvHzwXdKJwaV2nx2eCqfrunns0kL5doaow727LSPUP82dPuBBO9gw2T8xosbOztIEX95/FYnPy05tm8+tbCpmSFhtCK0NHv04sNzeXO++8k8LCQhYvXsyGDRukHmPhyEg6MV/Jn8F+uX217OgL78To9PhIqVVIs97CobNtfNOg53y7iVaDhcIMDbcWTed8ezcltZ2cbNTT2GmhUW/ilfsWojVYWPePo5Sc7yAvIw5LT4mpCSnRPH5jAXMnJvlNlvVuJ5OfGc/VMzNoNVg4fLadZr0FlVJBfJSaWI2aBy5L5rZFMymt6yBao6Lb4mByagy/+NYcyho6eeXgOYxWB91WB7fOn8jRc+3ERapIjolAb7FhtNo5p+2Wkpe9r7/7tbwiL61XMrBo72cVrTTpzRw820GXxcGpJj0rCrO5bcFkj+0DdQo5SdGUnO/gQKWWxOgIGjvNLJ+dyfyeKhSBtkYJpiqFL4JtohqILf7sGG7nFk5OA8LLnoE6MacgcLRGx6uHa6jTdXPbgkn87Z4FXDYlBWUYaxH6dWIAX3/9NefOnaO1tZWKigpOnTrFrFmzhsG84BlJJ+ZrkAv2y52fGc+CKSm8X9YY0IDgq9mi93sOh0B2YhS5qTEcOteJzSFwV1EuVruT5bMzaexRPoqlqA6dbcchQJvBQmWLwVVdYmEun1Vope7Gu080U9Fs4L/2VUoO1N1p2J0Cz+45w9yJSXxZ3c7ppi5iNCoumpBAtbabtHgN10+PZcWCfLISojhU1cbsnASeuWWuVHFkRmY83VY765fmuYoAd1nRqJW0dFmxO10tWmI0Kn65Zk6v3l5Hqtt7iWm8SYuN5LOKVsw2B0arg6lJalTqCJr1FmyO3s4iUKeQHh/Jrz8ox2BxcK6tG4vdSaPeFPTM+siZel4+1hrS5pYDobxRL1Xs8GWHmBB+pFrn87oNBeHkNCC87BmIE9MaLLx6uIYvqtuZmBzN9xZN4d7iKaTHD00jy1DSrxPbtGkTu3btwmaz0draSktLC62trSxevHiYTAyOkXRivga5gXy5g3nq9jdz+6C0kf93shmHQ0AAbizMZv2yfFq07TywdJYUIps/JcUj1CmGI812B816CyabE6PVwTmtkUNn29l3uoU7L88lJlJFaX2HR+jT3QG7N+w02xycbTVyTUEG/9/1s/i80rX2pO22cazOwMsHq2noNCMI8OMbZknO6NHrZvDUqouYPyVFOs97r5iKgCtJXFw3u2GOS7Ty1LvfSJ2xRQdeWtdBVavB5wOBOFM8WKWlpdNCYWYUv/rOpVIH58E4C5VCwdFz7USqlcRHqZmaFktBdkJQ+/zznjPsPq2TyjKFalYVLM/uOcOH5VpsDt9NNp/dc4Yvq3VMSI7i8RsL5JnYCNPS2sqE7EyyE6N8/slNiWZ6histZnJKNN/Ud/L8J5VYHU42LZ/Bj2+YyZwJicRHqolyq7oRrvTrxP785z+zfft2li5dKgkxwtWBQXiuiQVrS39hK/fjXJGX5nO97aHXjnG+3UR2YhQ3FmZLwoJpUd0UTJ3od39i5+JF01KpaTNisTmZNymZpJgIzrd1Y7DYSYxx9THLio/q5UBFB5ybGiM1h1w4NRWnIPDAVdMoyE5gwZQUWrrMfNPQxdd1ejQRSrotrgrzt1w6Ea3BInVdFs9fdJCfVWhZvywfs83JmRYDWYlRXFOQ2WtGarY6+Lqug4nJ0RysaqdZb+ZgVVsvZ5YeH0labCTfNHZyzdQYbrhkmlRs2Vd4zF9dS2/mT0lhR0k9TXoLESoljZ2WoEKBAIpuHTHxiSMy+3InJylaevjxZYfYofrxGwuGTQUZTk4DwsuepuZWSrUCTZ1mn3+mZ8S5qmko4KkdJ3j5UA2XT01h6/0LWTIzg8Ro11rzaHBgEIA6MT8/n9bWVrmHWABsPVzD2wNsJ+FOf9L6QFRn3iWVvHFX0PnaX0F2gtTXStxelO6L4g9fMm8MI1TfAAAgAElEQVSxR5b4b/EaeOdDJcdo6DTbmZgSy2PXzgyo/Yh7vUmx3bn4mcKcRKpajBRKydXdOAXITopmdk6i31wxQJLolzQqpeui67ay/4y21/aBpkvAhXvgruT0lTPoj6kpkawovpBAO1KS+YLsBDYsSvd7zPHev2s00tRp5p6XvqSyxcATK2Zx/5XTUCrDd92rL/p1YjqdjpUrVzJ37lwiIi5UIR5sxY6xyF1FuXxR3SbJtEP5w/Zupigezx/95RF597Xqb3+Btm4XBzpR5v9f350v2Z6bEiPlrd1VlItOp+Omy/I9HNjm7WUUT3fJeHNTYiSJvPe5eA+cH55oQuj5+8/07sFW3qj3W8NPktBnOKTrsnhGGqvn5fSS1QeaLgG+74GYUB6IE/RmLEjm5dy1kadaa+Q//lVKp8nGS/cu4Kr88JhBDpR+ndiGDRuGw44xgXex2FDiPYANJAl66+EaijMcFDD4Fu7BNBoUZ6h2pxObQ5A6GG9YlM7WU1rpvACPc7z2T/s8BnzvYrLuA2KMRoXJ5iSmJ0Ha28n1NVsQ3ysvL2fqtAnSdRETt91n18F26fYmGCfozWDvWTgwWhzxWHW2Hd1W/rj7NEqlgjcfXMScCYkjbdKg6XdNTCwxpdPpKCoqIiUlhbS0NDSaoWk1PVhGup+Yt7gjVLHyweb8iGtVFruTlZfketg5EPl2X40Gp6XHSWtgomrw88pW9CY7sZEqfrryIvIz49FqtR5NH72Vb96iFe9r62733YumcrpZz+YVswfcgFSr1fbq3yXa3tDT42qwyjtfPb76ssf9uxNKyXywhMv3ONT2+CPY30Q4rYl5CztEIUd6vIY/7D5Dp8nGtgcXjRnn3K8T27ZtG3/4wx/48MMP+f73v099fT2bNm3i5ptvHiYTg2OknZg37jLp/n60feXaDHYAEwePa3M1UlNM7/f6G1jc7ctKiPJoNOhtq8Xm5Kl3vyEtNpIr8tJYMCUFh1Pgl2vmcEWeK1zo7jS0Bov05FvdauSh146xaFoav1xT6HfAd7fbn8AlmPwlXwNRenwkC6akDFqxOJA8qsEmO4eSUA3SoXLEQ+00gnW24eTEvIUdopDj6Q/KOVTVxovfm89luaOjnVUg9BtOfO2113jrrbdYu3YtAFOmTAlZ2anxwM7TevbXuArb9hc+GcpQi3vIzN97/eFtX19hRHcBhPj/x66d6ffpz33fX1S3BbRuFIjdgV7T8kY9zx9qZYNXZflAj9Mfg723oyUMN1YYa2KVL6vbeft4PeuX5rF05tgS6Sn720Cj0XiEDu323v2eZPxz08wEqR5hf9xVlBvwtgNBHKjFgrjBcldRLotnpKHrtvJBaSObt5f53ddj184kLyNWWgNyd2j+9i2eu/tnB4urnFYkuSkxfdordi/eejj4HkhiE82+rslg7+1QfzdkevNBaSPX/mkfH5QObW+uoUYQBH727glyEqN4eGle/x8YZfQ7E1uwYAEvvvgiZrOZAwcO8M9//pNly5YNh21jAm+ZdF/4e/oL1SKzvzbz/uirtf2Z5i6aOl0V6X3ty1sA0Z+Ywf3cA2kv4++aeL8uyue3Havt015RLTkQJyHOkr6obvN7jME+2Y+1mcFoIJh0inDm+PkOTjbq+f135hKtGR25X8HQ75rYokWLqK6uxmg0cuLECRYvXswPfvCDsO3rFQ5rYu7rF5i7etkSaMKsyECEF77oL2k1kOOKawW3XTbZVY5qEAnZgawj+FoL6qvM0bN7zvD28Xo+r2xlwZQU4iMjKGvoYO38SVKBY1/2psdH+kwED4RAr0mwhNM6SzjZAsNjTzB1TMPp+ngLO/72eTW6bhu/v/Vi1Kp+g2+jjn5nYkqlkrVr10prYjL945GDNav3JQ72Ca8/aXWgM7X+klb9Hdc7V0qcEbjb7m1DqNZwfO1n6+Ea6nVmJiRH9bom3rl6um4r57TdlNR19Jnn1teaWH/4uybhjHvyutgNXMaTwaZTjBTurVisdiefVWhZc0nOqKnAESx+ndiqVav6/OB7770XcmPGCh5Op6O+1/vB5gqFooLHQBCPu3l7Wb/797ZhIDlNvpyxr/14vyYmSItJ0+65euJA3R/Pf1zBRxVdEFkRUFL3aMe975x3h2mZscPZVleH9eK88OsDFir8OjGxIofY1Xn16tWAy3lFRYV/ZeORpCA7QSrnJCYXuxPoE16gM6xAHIZ7snN1T+kj78aWfj/TU0Gjr/1729Cf4/2gtJFfvFtDXlYnd17u6s7sq9STr/24vyY6WO/1KPF97wTpgRBMqajRgnd5MJmxyZkWAxEqBRdPHHyn53DFrxMTk5yPHz/OG2+8Ib0+c+ZMbr/9dtavXz/01o1ixJmJLjeaFcWD2wf0PcMKRmquy43mTEcHlS1GXvikEqeA3/0Hcnx3RxvM0/yf9pymyeCgubKNJr2Zpk4Li2ekSerH8kZ9QCEu95Cne/kqkUAFERuW5YPFyE2FOb26N4+VBX53Ai0jJjO6qWkzMjklBo167K2FifQr7Hj11VfJz88nJycHcDm1PXv2cMcddwyHfUETDsIO6Du5ONh9hEIo4G7PooJcqa1JX2KHQI7vLv6w2JwBC1bSYiM5Vt1CfmYCKbEaZmTFs2FZvtSrLFARi5g8m58ZH3QSrbvA5oq8NKZFdfN+haGXmCXYRqX+EEUqVS0G/uPt0n6vU6BigWCFQgMhnIQLINvTF6KwIzFazUsHzrGyMJulMzPG35qYyNNPP80TTzyBwWAAID4+nl//+tdDbthoxzu5eCAy+VDKqt3tKSjoHc70ZZ/38X2F1dzDiMEUt10xN5upER1sPWXnnZIGVs/LkcKw7vsNlmBCf75mWL6OH6oFfnFmq1SA3mwP2cxuLM4UZQaOKOyo1hpxCjB3YhKJMeFZJjAU9OvE5syZw7vvvovBYEAQBOLjh+ZJb6wzXBUXBrp+E4h9vgZLd0c3kOK2fa2lDcTxD6RViru9Q5mPJZ6jezX/UDCYosIyY5eGDleloBmZcSNsydDi14m98847rF69mpdeesnn+/fee++QGTUW8TfDCHSgDnQ7cRB/Zle5tEYUzNpSXzMg98HyV++d4JXDNdxdlMuTqy6ivFHPgSpt0H3U+nIaA3H83gN6X9etvxlWqCuZu59rf5X/g2G0SsFlhpb6DhPxUWpS40auoepw4NeJmUwuL240GofNmLGMv8E60IE60O3EQTwrISooBxDIDMR9sHzkza+wOQReOVzDk6suCloEEirH2peNMLgZsHfPtbHYmkNm7NLQYWJCUvRImzHk+HVit99+OwB33nknKSljp+JxuBHoQB3oduIg7u4whoK7i3KlmVig9gXrUEIR2hvMGpv7Z+UCvC7GYrrBWEOhgPmTE2kzWLl+Thbxkf2uGo1q+j2722+/nYkTJ3LjjTeyfPlyEhNHfxO1cCLQgTrYAX0o1nbcHeOTqy7iyVUXBXW8kWjqOJjr4P7ZcG5IOZwNHGURSfgjCNBhtuMQBApzEse0qAMCqGK/e/duNm7cSGVlJbfccgsPPvgg77zzznDYJhNmiLORgVR6hwtOIdCBVqwOH0jV/S2fVjH3Zx+x5dOqAdnWH8HaPpwM9r4EQyg7DMgMHaKoY1JKzAhbMvQElAE3d+5cfvKTn/DWW2+RmJjI448/PtR2yYQhw90OJJjB+YVPKtGb7bzwSeUwWBZeDOd9WTE3mz2PXS3PwsKcxg4zAJNSxv6aWL9OzGAwsH37du6//37uuOMO0tPTeeuttwZ10I6ODu69916WL1/OvffeS2dnp8/tfvCDH3DZZZfx4IMPDup4MqFhuGcjYi8wsexVX6xfmkdClJr1Y7BfUn+E8yxRZmRo7DShVirITpSdGN/61rcoLy/n4Ycf5qOPPmLTpk3MmTNnUAfdsmULixYtYvfu3SxatIgtW7b43O7+++/nd7/73aCONdYJJuQ2mihv1PPMrnKqW43sLGvo9Z73OV81I51VF+dw1YzwqJogIzNSKBTQZbYTG6lGpQzPllmhpF8ntnfvXp544gkuueSSkB107969rFmzBoA1a9awZ88en9stWrSI2NjYkB13LDKc6yHDydbDNTR0mqXajt7veZ/zWL0OMjLBIghQ225CMwZ7h/nCrzrx6aefZvPmzTz00EM+3xer3A+EtrY2MjIyAMjIyKC9vX3A+/LGYrEgCIJU7mmkMZvNAdtS3W5h52k9N81MYGpKYAmKxRkOdLnRFGc4AjqOaM9n5wy8WqLje/OSuWpKXK9jD8SWYM+nr2tTnOGgZpIrFHLTFJXHdr7OOdjr4Itg7tVwEE72hJMtMP7sKSgIrDs8gMPhQG80olYSVtdoMPR1/n6dmNh65b777hvQQe+55x6pGK87GzduHND+AiUy0jVYBnPThxJXrcLAbNm6vYz9NSaSk5NZURzYZwogqCr5oj0bdu2jttPGtnIj625c0OvY/mwR84Suzk9nX0Vrn/lC/Z1Pn9emUU9ui2/ZuK9zDvY6+CKYe+WPLZ9W8cInlaxfmjfoqhyhsCdUhJMtINvTFyqVCrUmihilI2xsGkr8OjFx3evyyy+XZkrBJD2//PLLft9LTU2lpaWFjIwMWlpa5GTqHoYzF8m7PJP3sf3ZIuYJ1bR1Y3MIfeYL5abEIAgCJxv0AbdWERmtycXuKslQlpaSkQkGu8M5ptuvuOP3LAVB4Pnnn2fhwoXceOONXH/99RQVFfHCCy8M+qDLli1jx44dAOzYsYNrrrlm0PsczYhCBWDYVGbeUmlvhZs/xZuYJ3R3US55GbGsnT/Jr7Bk27FajFYHJXUdQa9VDbVsfKgEMeNZJSkTHigUEBmhHLOtV7zx68ReeeUVjh8/zr/+9S+++OILjhw5wltvvcVXX33V5ywrENatW8eBAwdYvnw5Bw4cYN26dQCUlZWxefNmabs777yTRx55hEOHDrF48WI+++yzQR03XBlNogTR+T256iL2PHY1Ne3dfm1/7NqZTEqJpnh6WtDOaKCy8UCd01Bc8/JGPTXt3bz54CJ5FiYzYggCdHTbZGHHjh07+Pvf/+4R6ps0aRK///3vue+++7jnnnsGfNDk5GReeeWVXq8XFhZSWHghdPTPf/5zwMcYacRSQMUZDvqLSg9XGLG8Uc/zh1rZkDQhZLO9vmzvr7r6Z+cMbNi1L6R1+AINQw7FNR+tIVCZsYfN4SQyYpw7Mbvd7nOtKiUlBbvdPqRGjQXEAU2XG92v4GAoe1h527Sv2kDy4ZqQN9scCK+W6KjttIW0Dl+gzmkornmoHGMwD0DjDfnaBIbNIRCpHufhxIiICL8f6us9GRfims5NM8OnisJdRblcPTUubIrYfm9ecq86fANdqxqJdUVv+gqBBnNe4gPQztNjK4E9FMjXJjCsdicxmvHhxPzOxE6dOsWll17a63VBELBarUNq1FhAHNDCKU+jIDuBDYvSw6Y80VVT4lh34wKP1/yF5PprAeLvc6Gs8D6YNiTBhBrFh4ziDMfADB3DyNemfxQKVzgxLnKcO7FwGnxlRpbyRj3Pf1wBwIZl+UPqBPuT9vsLPd5VlEtNm5H9Z1r5oLRR2iYQ5yE6p7UFsfSVVjOYNiTBhBrD8QEoXJCvTf84BQGL3SmrE2VkRLYermH3iWZ2n2gecgVlf9J+fy1ACrITaNKbqdWZ+NOe09LrgUj1Ref0aomuT9sG04bE+7zGas1LmZFH6CnVFqsZ280wRcbHWY4SQlntIZTcVZSLrtsq/Xu4cA8F9qd0hN4J3BCYgEP83NqCvut0BmJDoMhKRpmhwtHjxcb9mpjM8BOu1R4KshP4r+/OH/bjBjvQD9TJiJ/zF6IaioeLcO4ULTO6cTpdf0ePk5mYHE4MI+RqD54MdxNOfwxFw025B5jMUCH0zMTS4zQjbMnwIDuxMGLdkumU/uz6sJqFBcpQrPEMZKD3Z8dg7Buqhwt5XUxmKBDDiRkJUSNsyfAgOzEZn2z5tIq5P/uILZ9WBbR9uJTOcrfD3UkMxr6hergIl2smM7Zw9jThi40cH+HE8XGWMkET7PpcqNd4Bprf5W6H+5paOK5BhaNNMqMfsZFsnOzEZIabUCbmDpb1S/MkMUMghKqMk3gNdN1W9p9x9aMLZr/udrg7ieEq7RUM4WiTzOjHKcgzMZkRIpxk1+uWTB+RtTnxGiyekTZoUYfsJGTGI2KemCyxlxl25PBS79mTjEywDKY82FjAIQioFAoix3tTTJnhZyzJrgNR3lW3W3ptM5augczI4F4ebDziFASiNSoUCsVImzIsyDMxmQHT1xqed2hUfDq+Oj+dfRWtPHbtTHae1rO/xoSu20pyjCbo2Vc4rSHKhA++KreMJ5zO8RNKBNmJjTrCaeDuaw3POzQqPh3XtHVjcwiuQWZhEsnJyei6rQNaC/RWH4bLdZEZWUJZHmw04hQE2YnJhC/hJP7oaw3PW1QhPh27z8SmRnSworiA8ka9NBMb6PGDvS7h9DAgIxNKBNmJyYQz4ST+CEb95/50/GTPa+XlHUHvBzwd0NM3F1LeqEfXbWXxjLSAr0s4PQzIyIQSp8C4acMCshMbdciy8d4OaOvhGvaf0bJ6Xk7As6pwehiQkQklTkGQnZiMjEg4ht28HdBAHJL8MCAzVhEEiFCNH+H5+DlTmQExHPX9gi2E6y3DHypZ/geljVz7p318UNoY0v3KyAwlAgIRqvEhrwfZiYU14VDlfDjaoYRrIdzxnm8kMzoRBNCMk0RnkJ1YWBMOg7uvWU4onGt5o57nD7VS3qgfEkcZChsfu3YmeRmx4zbfSGZ0IgiMm2odIK+JhTXhKj4IhbJv6+Ea9lUbSD5cw9M3Fwa1n0DKCoXCxvGebyQzOnGFE2UnJhMGhKv4IBTO9a6iXHQ63YD24R7m8+dkgrFRFK8UZzgoCNoaGQhPAdB4RRBArZTXxGRk/BIKIUVBdgIbFqUPaB+BhPmCsVGcte08LXdYHijhEPqWuYAw0gYMIyMyE+vo6ODRRx+lvr6eCRMm8Oyzz5KYmOixTXl5OT/72c8wGAwolUoeeughVqxYMRLmyoQZoQ7zibO14gxHyPY53gjX0Pe4RHGhu/N4YERmYlu2bGHRokXs3r2bRYsWsWXLll7bREVF8dvf/pb333+f//mf/+HXv/41er38pCwzOLZ8WsXcn33Elk+rpNfEWdvUlMgRtGx4CbXyVe4+ED4oAJUcThxa9u7dy5o1awBYs2YNe/bs6bXN1KlTmTJlCgCZmZmkpKTQ3t4+nGbKjEFe+KQSvdnOC59UjrQpI4oc/hu7KFCgloUdQ0tbWxsZGRkAZGRk9OucSktLsdlsTJ48ud99WywWBEGgvLw8JLYOFrPZPCBbqtst7Dyt56aZCSGdIQzUnqEgEFtCfR3WXpTA66U61l6U0OvY4XRtYGjtKc5woMuNpjjDEdAxxtO1GQhDbU9BQTCSIwFtW3tYXZ/B0tf5D5kTu+eee9Bqtb1e37hxY1D7aWlpYdOmTfz2t79Fqez/6SIy0jXQBXfTh47y8vIB2bJ1exn7a0wkJyezojh05zJQe4aCQGwJ9XV4sgCevHXg9gwnQ2lPAbCiODxsGQiyPf5RKBQkJiWFjT1DzZA5sZdfftnve6mpqbS0tJCRkUFLSwspKSk+tzMYDDz44INs3LiRefPmDZGl4UlfC+Xjqf26LBiQkQkehyzsGFqWLVvGjh07ANixYwfXXHNNr22sVisPP/wwq1ev5sYbbxxuE0ecvhbKx1M5pHATDMj1FGXCHQVgto0fpe2IOLF169Zx4MABli9fzoEDB1i3bh0AZWVlbN68GYBdu3Zx9OhRtm/fzurVq1m9evWYivEOBrkc0sgxnh4gZEYvFrtzpE0YNkZE2JGcnMwrr7zS6/XCwkIKC10VKkTHJdObYPKk5EoKoUXsUC0/QMiEKwKgUsgSe5kxwnBJqcOh4n5f+MoPGwgr5maz57Grx/xapMzoRs4Tkwkr+nMQfb0/HK1UwNNZhsphhJKhzg8LdycuM34QBNmJyYQZ/c2m+np/uIQRxdPTyEqMJDclht/vPt2vw3BvxTIcrF+aR0KUmvVL84Zk/3LysEy4IPRUTuzsto6wJcODXMV+FNCfzDwcZOgHqrQ0dVrYdqwWBQoiVPTpMLxbsQw165ZMZ92S6YArtPjCJ5WsX5onvRYs3muN4XAPZGQAnAK0G210WewkxmhG2pwhR3Zio4D+WrKEQ8sWqYju9DQOVGn7FZIMphXLYHEPLQbqxMTcvLXzJ1HT3o2u28r+M65kfnGmO9L3QEYGXOHE+KjxM7SPnzOVGVLcB/FARA+DacUyWNYvzZNmYoEiSutf+KQSpwCLZ6QNy1qjjMxAiIscP0P7+DlTGZke3EOLgSJK68WZmDjTFAUdcgrD6GE8pJ3EyTMxGRkZd/zl5omCDkAOJ44SxsM9WzIjnfhxMhsbH2cpIzNEyIKO0cd4uGdzJiSOC1EHyE5MRmZQyIKO0cdYv2cKBSRFR4y0GcOGnCcmIyMjM4ZQKxUo5WRnGRkZGZnRiHocOTCQnZiMjIzMmEKlkp2YjIyMjMwoRaUYX8P6+DpbGRkZmTHOeCr+C7ITk5GRkRlTqMbZqD7OTldGRkZmbKMcRw0xQXZiMjIyMmMKhezEZGRkZGRGK+PLhclOTEZGRmZMITsxGRkZGZnRyzjzYrITk5GRkRlDjDMfJjsxGRkZmbHF+HJjshOTkZGRGUOMM3Gi7MRkZGRkZEYvshOTkZGRGUOMtyr2I9IUs6Ojg0cffZT6+nomTJjAs88+S2Jiosc29fX1bNiwAYfDgd1u56677uKOO+4YCXNlZGRkRg3xUeOnISaM0Exsy5YtLFq0iN27d7No0SK2bNnSa5v09HTeeOMN3nnnHbZt28Z///d/09zcPALWysjIyIwe5DWxYWDv3r2sWbMGgDVr1rBnz55e22g0GjQaDQBWqxWn0zmsNsrIyMjIhD8j4sTa2trIyMgAICMjg/b2dp/bNTY2smrVKq6++moeeOABMjMzh9NMGRkZGZkwRyEIgjAUO77nnnvQarW9Xt+4cSOPP/44R48elV5bsGABR44c8buv5uZmHn74YV588UXS0tL6PG5JSQmCIBAVFTVw40OI2WwOG1sgvOwJJ1tAtqcvwskWGH/2FBQUBLxtSUkJkZGRQ2bLSNDX+Q+ZsOPll1/2+15qaiotLS1kZGTQ0tJCSkpKn/vKzMwkPz+fo0ePcsMNN/S5rXjzgrnpQ0l5eXnY2ALhZU842QKyPX0RTraAbE9fREZGho0tw8GIhBOXLVvGjh07ANixYwfXXHNNr22ampowm80AdHZ2cvz4caZOnTqsdsrIyMjIhDcjIrFft24dGzdu5F//+hfZ2dk899xzAJSVlfHGG2/w9NNPU1VVxW9+8xsUCgWCIHDfffcxc+bMkTBXRkZGRiZMGREnlpyczCuvvNLr9cLCQgoLCwEoLi7mvffeG27TZGRkZGRGEXLFDhkZGRmZUYvsxGRkZGRkRi2yE5ORkZGRGbXITkxGRkZGZtQiOzEZGRkZmVHLkFXsGCnGYra6jIzM+EatVpOfnx/QthUVFQFvOxYYc05MRkZGRmb8IIcTZWRkZGRGLbITk5GRkZEZtchOTEZGRkZm1CI7MRkZGRmZUYvsxGRkZGRkRi2yE5ORkZGRGbWMCSfW0dHBvffey/Lly7n33nvp7OzstU19fT233HILq1evZuXKlbz++usjZkt5eTm33XYbK1euZNWqVXzwwQdDYkug9gD84Ac/4LLLLuPBBx8MuQ379+/n+uuv57rrrmPLli293rdarWzcuJHrrruOW2+9lbq6upDbEIw9R44c4eabb2b27Nl8+OGHI2rLSy+9xIoVK1i1ahV333039fX1I2rP66+/zqpVq1i9ejV33HEHlZWVI2qPyIcffsjMmTMpKysbMVvefvttioqKWL16NatXr+att94aMltk3BDGAL/97W+Fv/71r4IgCMJf//pX4Xe/+12vbSwWi2CxWARBEASDwSAsXbpUaGpqGhFbzp49K1RXVwuCIAhNTU1CcXGx0NnZGXJbArVHEATh4MGDwt69e4V169aF9Ph2u1245pprhPPnzwsWi0VYtWqVUFFR4bHN1q1bhZ/+9KeCIAjCzp07hUceeSSkNgRrT21trVBeXi5s2rRJ2LVr14jacujQIaG7u1sQBEF47bXXRvzadHV1Sf/es2ePcN99942oPaJNd955p3DrrbcKpaWlI2bL//7v/wo///nPh+T4Mv4ZEzOxvXv3smbNGgDWrFnDnj17em2j0WjQaDT8/+3df0jV1x/H8We744KU1dXyR6uZLCscNu3HNKK10qW7erMWDULTBls/sELZJIsxygkWk1W6MmSNCNtav7zNgoq62RgNlxmKXMmkJKHrtdI2f+yWzrM/pM+3O9tm7V7v99b7AcLn3ns+n/Pi4uV9z/HjOdD/zb+vr89jWUJDQ5k4cSIAgYGB+Pn50dbW5rE8ALNnz2b48OEu77+2tpaQkBAmTJiAXq8nMTGR8+fPO7WxWCwsWbIEgPj4eH7++WeUm/4HfzB5xo8fz9SpU3npJfd+PAaTJSYmBh8fHwAiIyNpaWnxaJ4RI0Zox7///jvDhg3zaB6AXbt28eGHH7p1pZ7BZhFD77koYvfu3SMgIACAgICAvy0INpsNk8nE22+/zUcffURgYKDHsjxSW1tLT08Pr776qsuzPEseV7Pb7QQFBWmPAwMDsdvtA9oEBwcD/cvr+Pr60t7e7rE8Q+Vpsxw9epS33nrL43kOHjxIXFwcX3zxBZ9++qlH81itVlpaWpg/f77bcgw2C8DZs2cxmUxs2LABm83m1kyin0d2dn4WK1eu5O7duwOez8zMHPQ1goODKS8vx263k5GRQXx8PGPGjPFIFoDW1lays7PZvg9+iboAAAd/SURBVH37f/rW76o87vCkEdVfv70Pps1Q5hkqT5PlxIkT1NXVUVpa6vE8KSkppKSkUF5eTnFxMdu3b/dInr6+PvLz88nPz3dL/0+TBWD+/PkkJSWh1+v57rvv2LhxIwcOHHB7thed1xSx/fv3/+1r/v7+tLa2EhAQQGtrK35+fv94rcDAQMLCwqiqqiIhIcEjWTo7O1m9ejWZmZlERkY+dQZX53GXoKAgpykwu92ujQwfb2Oz2QgKCqK3t5eOjg5Gjx7tsTxDZbBZLl26xN69eyktLdWmxD2Z55HExES2bNnisTxdXV00NDSQlpYGwJ07d1i7di3FxcVEREQMaRYAg8GgHb///vsUFBS4NIN4sudiOnHBggWYzWYAzGYzsbGxA9q0tLTgcDgA+PXXX6muriY0NNQjWR4+fEhGRgbJycm8++67Ls/wtHncKSIigqamJpqbm3n48CGnTp1iwYIFAzKWlZUBcObMGWJiYtw2OhpMnqEymCxWq5XPPvuM4uJi/P39PZ6nqalJO66oqCAkJMRjeXx9famsrMRisWCxWIiMjHRLARtMFuifWXnEYrHw2muvuTyHeALP3VPiOm1tbSotLU298847Ki0tTbW3tyullKqtrVWbN29WSin1008/qaSkJGUymVRSUpI6dOiQx7KYzWYVHh6uFi1apP1YrVaP5VFKqeXLl6vo6GgVERGh5s6dq3788UeXZaioqFALFy5UsbGxas+ePUoppXbu3KnOnTunlFLK4XCo9evXq7i4OLV06VJ169Ytl/X9LHlqamrU3Llz1RtvvKHefPNNZTQaPZYlPT1dzZ49W/s9Wb16tduyDCbP559/roxGo1q0aJFKTU1VDQ0NHs3zuNTUVLfdnTiYLAUFBcpoNCqTyaRSU1NVY2Oj27KI/5GtWIQQQnit52I6UQghxItJipgQQgivJUVMCCGE15IiJoQQwmtJERNCCOG1pIgJr1VcXKztBJCcnExNTc0/ts/JyXHJqvS1tbWsWLGChQsXsmTJElatWsW1a9f+83UfV19fz8WLF7XHRUVF7Nu3z6V9CPE88JoVO4R43NWrV6moqKCsrAy9Xk9bWxs9PT1u7/fu3btkZmZSUFDA9OnTAaiqqqK5uZkpU6Y4te3t7eXll5/tI1ZfX09dXR3z5s37z5mFeJ5JERNe6c6dOxgMBm0ZpseX0/rqq6+4cOECDx48ICoqitzc3AErgNTV1bFt2za6u7sxGAzk5+cTEBDAgQMHOHToEDqdjkmTJrFjxw6n80pLS1m8eLFWwABmzpypHefk5DBq1CisViuvv/46a9asYfPmzTQ3N+Pj40Nubi5Tp07FZDJx8OBBfH19iYmJYdOmTSxevJjs7GySk5MpLCzE4XBw5coVbY+3xsZGVqxYwe3bt0lPT9eWWxLiRSbTicIrzZkzB5vNRnx8PFu2bOGXX37RXktNTeXYsWOcPHkSh8PBhQsXnM7t6ekhLy+PwsJCjh8/ztKlS7ViVVJSgtlspry8nK1btw7ot7GxkfDw8H/M1tTUxP79+8nJyaGoqIjw8HDKy8vJyspi48aNAERFRVFdXc3169cZP348VVVVANTU1BAVFcWGDRswGo2cOHECo9EIwM2bN9m3bx9Hjhxh9+7dQzLyFOL/nYzEhFcaPnw4x48fp6qqisrKSrKysvj444957733qKys5Ouvv8bhcHD//n3CwsKc1rm7efMmDQ0NfPDBB0D/auhjx44FYMqUKXzyySfExsYSFxf3rzmWLVtGZ2cnc+bM0bYlSUhIQKfTAXDlyhWKioqA/j3b7t+/T0dHBzNnzuTy5cuMGzeO5cuXc/jwYex2O6NGjfrbfd3mzZuHXq/Hz88PPz8/7t2757Q9iBAvIiliwmvpdDqio6OJjo5m8uTJmM1mEhMT2bp1K8eOHSM4OJiioiIePHjgdJ5SirCwML7//vsB1ywpKeHy5ctYLBb27NnDqVOnnP6uNWnSJKxWq1bgjhw5wunTp6moqNDaPNrE8lFffzVs2DBmzZrFt99+i81mIysri3PnznH69Gmnqcm/enwFe51OR29v77+/SUI852Q6UXilGzduOK2oXl9fz7hx47SCZTAY6Orq4syZMwPODQ0Npa2tjatXrwL904vXr1+nr68Pm81GTEwM2dnZdHR00N3d7XRuSkoKZWVlVFdXa8892h3hSWbNmsUPP/wAQGVlJQaDgREjRhAcHEx7eztNTU1MmDCB6dOn88033zBjxgygf6TZ1dX1bG+OEC8QGYkJr9Td3U1eXh6//fYbOp2OkJAQcnNzGTlyJMuWLcNkMvHKK688cVsOvV5PYWEheXl5dHR08Mcff5Cens7EiRPJzs6ms7MTpRQrV65k5MiRTueOHTuWHTt2UFBQgN1ux9/fn9GjR5ORkfHEnOvWrWPTpk2YTCZ8fHzYtm2b9tq0adPo6+sD+m8O+fLLL7UiFh0dTUlJCcnJydqNHUKIgWQVeyGEEF5LphOFEEJ4LSliQgghvJYUMSGEEF5LipgQQgivJUVMCCGE15IiJoQQwmtJERNCCOG1/gT7jUtnNUQXVwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=SALES_GROWTH,\n",
    "                 y=DIVIDEND_GROWTH_3Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, if we zoom in on the part of the plot where the TTM Sales Growth is greater than 0.1 (or 10%), we see that most FUTURE 1-year Dividend Growths are significantly greater than zero. This might be useful knowledge."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.04 * x + 0.13 (R^2=0.00, p=2e-01)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Only use data-points with positive Sales Growth.\n",
    "mask = (df_signals[SALES_GROWTH] > 0.1)\n",
    "df = df_signals.loc[mask]\n",
    "\n",
    "plot_scatter_fit(df=df,\n",
    "                 x=SALES_GROWTH,\n",
    "                 y=DIVIDEND_GROWTH_1Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We get a similar plot when we compare the positive TTM Sales Growth to the FUTURE 3-year average Dividend Growth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 0.01 * x + 0.13 (R^2=0.00, p=8e-01)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df,\n",
    "                 x=SALES_GROWTH,\n",
    "                 y=DIVIDEND_GROWTH_3Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dividend Payout Ratio\n",
    "\n",
    "The Dividend Payout Ratio measures how much of the company's earnings are paid out as dividends to shareholders. We use a slightly different formula for the Payout Ratio than people normally use, as we use the Free Cash Flow instead of the reported Net Income:\n",
    "\n",
    "$$\n",
    "Payout\\ Ratio = \\frac{Dividends\\ Paid\\ TTM}{Free\\ Cash\\ Flow\\ TTM} = \\frac{Dividends\\ Paid\\ TTM}{Net\\ Cash\\ From\\ Operations\\ TTM - Capital\\ Expenditures\\ TTM}\n",
    "$$\n",
    "\n",
    "The scatter-plot shows a tendency for higher Dividend Payout Ratios to result in lower FUTURE 3-year average Dividend Growth, although the $R^2$ is nearly zero because the data-points are so dispersed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = -0.09 * x + 0.14 (R^2=0.03, p=1e-67)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_scatter_fit(df=df_signals,\n",
    "                 x=PAYOUT_RATIO,\n",
    "                 y=DIVIDEND_GROWTH_3Y_FUTURE);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "Forecasting the Dividends is an essential component of long-term stock forecasting. This was a basic statistical study of which signals could be used to predict the FUTURE Dividends, as well as the FUTURE 1-year and 3-year average Dividend Growth.\n",
    "\n",
    "These are the results:\n",
    "\n",
    "- The PAST 1-year Dividend is a very strong predictor for the FUTURE 1-year Dividend with $R^2$ close to 1. Note that these are the total Cash Dividends Paid, which are the amounts taken from the Cash-Flow Statements. These are NOT the per-share Dividends which will also be affected by changes in share-counts e.g. from share buybacks, which may be studied in a future paper.\n",
    "\n",
    "- The Dividend Growth is much harder to predict from the signals we considered here.\n",
    "\n",
    "- The strongest predictor for the FUTURE 1-year Dividend Growth was the PAST 1-year Dividend Growth, but the data-points were so dispersed that $R^2 = 0.09$. Similarly, the strongest predictors for the FUTURE 3-year average Dividend Growth was the PAST 1-year Dividend Growth, but again with similar low $R^2$.\n",
    "\n",
    "- The Year-Over-Year (YOY) Assets Growth was also a weak predictor for the FUTURE Dividend Growth. But only considering YOY Assets Growth greater than 20%, the FUTURE 1-year and 3-year average Dividend Growth was nearly always positive.\n",
    "\n",
    "- Similarly, the Trailing-Twelve-Months (TTM) Sales Growth was also a weak predictor for the FUTURE Dividend Growth. But only considering TTM Sales Growth greater than 10%, the FUTURE 1-year and especially the FUTURE 3-year average Dividend Growth was nearly always positive.\n",
    "\n",
    "Also note that we used data for a fairly short period of time, which ended in April 2020 and only went back about 6 years on average for the individual stocks, with the max period being 11 years for one stock. Ideally this kind of study would be done with 20-30 years of data, in which case we might be able to find stronger predictors for Dividend Growth over 5-10 year periods."
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    "## License (MIT)\n",
    "\n",
    "Copyright (c) 2020 by [Magnus Erik Hvass Pedersen](http://www.hvass-labs.org/)\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE."
   ]
  }
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