{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Additive Models in Python\n",
    "\n",
    "This notebook walks through the process of creating additive models for time-series data in Python. In particular, we use the Facebook Prophet package and financial data from quandl. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# quandly for financial data\n",
    "import quandl\n",
    "# pandas for data manipulation\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Matplotlib for plotting\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "\n",
    "plt.style.use('fivethirtyeight')\n",
    "matplotlib.rcParams['axes.labelsize'] = 14\n",
    "matplotlib.rcParams['xtick.labelsize'] = 12\n",
    "matplotlib.rcParams['ytick.labelsize'] = 12\n",
    "matplotlib.rcParams['text.color'] = 'k'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "# Retrieve Data from Quandl\n",
    "\n",
    "We will explore the market capitalization of two American car companies, GM and Tesla. You can make 50 calls to quandl a day with no api key, or create a free account to make unlimited calls per day. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "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>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>Ex-Dividend</th>\n",
       "      <th>Split Ratio</th>\n",
       "      <th>Adj. Open</th>\n",
       "      <th>Adj. High</th>\n",
       "      <th>Adj. Low</th>\n",
       "      <th>Adj. Close</th>\n",
       "      <th>Adj. Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-11-18</th>\n",
       "      <td>35.00</td>\n",
       "      <td>35.99</td>\n",
       "      <td>33.89</td>\n",
       "      <td>34.19</td>\n",
       "      <td>457044300.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>29.988317</td>\n",
       "      <td>30.836558</td>\n",
       "      <td>29.037259</td>\n",
       "      <td>29.294302</td>\n",
       "      <td>457044300.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-11-19</th>\n",
       "      <td>34.15</td>\n",
       "      <td>34.50</td>\n",
       "      <td>33.11</td>\n",
       "      <td>34.26</td>\n",
       "      <td>107842000.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>29.260029</td>\n",
       "      <td>29.559912</td>\n",
       "      <td>28.368948</td>\n",
       "      <td>29.354278</td>\n",
       "      <td>107842000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-11-22</th>\n",
       "      <td>34.20</td>\n",
       "      <td>34.48</td>\n",
       "      <td>33.81</td>\n",
       "      <td>34.08</td>\n",
       "      <td>36650600.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>29.302870</td>\n",
       "      <td>29.542776</td>\n",
       "      <td>28.968714</td>\n",
       "      <td>29.200053</td>\n",
       "      <td>36650600.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-11-23</th>\n",
       "      <td>33.95</td>\n",
       "      <td>33.99</td>\n",
       "      <td>33.19</td>\n",
       "      <td>33.25</td>\n",
       "      <td>31170200.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>29.088668</td>\n",
       "      <td>29.122940</td>\n",
       "      <td>28.437493</td>\n",
       "      <td>28.488901</td>\n",
       "      <td>31170200.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-11-24</th>\n",
       "      <td>33.73</td>\n",
       "      <td>33.80</td>\n",
       "      <td>33.22</td>\n",
       "      <td>33.48</td>\n",
       "      <td>26138000.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>28.900170</td>\n",
       "      <td>28.960146</td>\n",
       "      <td>28.463197</td>\n",
       "      <td>28.685967</td>\n",
       "      <td>26138000.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             Open   High    Low  Close       Volume  Ex-Dividend  Split Ratio  \\\n",
       "Date                                                                            \n",
       "2010-11-18  35.00  35.99  33.89  34.19  457044300.0          0.0          1.0   \n",
       "2010-11-19  34.15  34.50  33.11  34.26  107842000.0          0.0          1.0   \n",
       "2010-11-22  34.20  34.48  33.81  34.08   36650600.0          0.0          1.0   \n",
       "2010-11-23  33.95  33.99  33.19  33.25   31170200.0          0.0          1.0   \n",
       "2010-11-24  33.73  33.80  33.22  33.48   26138000.0          0.0          1.0   \n",
       "\n",
       "            Adj. Open  Adj. High   Adj. Low  Adj. Close  Adj. Volume  \n",
       "Date                                                                  \n",
       "2010-11-18  29.988317  30.836558  29.037259   29.294302  457044300.0  \n",
       "2010-11-19  29.260029  29.559912  28.368948   29.354278  107842000.0  \n",
       "2010-11-22  29.302870  29.542776  28.968714   29.200053   36650600.0  \n",
       "2010-11-23  29.088668  29.122940  28.437493   28.488901   31170200.0  \n",
       "2010-11-24  28.900170  28.960146  28.463197   28.685967   26138000.0  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "quandl.ApiConfig.api_key = 'rFsSehe51RLzREtYhLfo'\n",
    "\n",
    "# Retrieve TSLA data from Quandl\n",
    "tesla = quandl.get('WIKI/TSLA')\n",
    "\n",
    "# Retrieve the GM data from Quandl\n",
    "gm = quandl.get('WIKI/GM')\n",
    "gm.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Quick Visualization of the Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QQgi3cj2Ly7mPelfnssvBsu7dgpGCFiGEEE46vfkxvZu3DaagRQghhNPh1DKzYzoKWoQQ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\nIYQQmiFDSwghhGb8G2SbpvM+JQquAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22502eea0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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px2RnG7S5zZrlgEh0iXftgkf//hCfPKnTLouMdFBEzodJSoLbZ5+BUakgSEuD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22502dcd898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The adjusted close accounts for stock splits, so that is what we should graph\n",
    "plt.plot(gm.index, gm['Adj. Close'])\n",
    "plt.title('GM Stock Price')\n",
    "plt.ylabel('Price ($)');\n",
    "plt.show()\n",
    "\n",
    "plt.plot(tesla.index, tesla['Adj. Close'], 'r')\n",
    "plt.title('Tesla Stock Price')\n",
    "plt.ylabel('Price ($)');\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "In order to compare the companies, we need to compute their market capitalization. Quandl does not provide this data, but we can figure out the market cap ourselves by multiplying the average number of shares outstanding in each year times the share price. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Yearly average number of shares outstanding for Tesla and GM\n",
    "tesla_shares = {2018: 168e6, 2017: 162e6, 2016: 144e6, 2015: 128e6, 2014: 125e6, \n",
    "                2013: 119e6, 2012: 107e6, 2011: 100e6, 2010: 51e6}\n",
    "\n",
    "gm_shares = {2018: 1.42e9, 2017: 1.50e9, 2016: 1.54e9, 2015: 1.59e9, 2014: 1.61e9, \n",
    "                2013: 1.39e9, 2012: 1.57e9, 2011: 1.54e9, 2010: 1.50e9}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate Market Capitalization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Create a year column \n",
    "tesla['Year'] = tesla.index.year\n",
    "\n",
    "# Take Dates from index and move to Date column \n",
    "tesla.reset_index(level=0, inplace = True)\n",
    "tesla['cap'] = 0\n",
    "\n",
    "# Calculate market cap for all years\n",
    "for i, year in enumerate(tesla['Year']):\n",
    "    # Retrieve the shares for the year\n",
    "    shares = tesla_shares.get(year)\n",
    "    \n",
    "    # Update the cap column to shares times the price\n",
    "    tesla.ix[i, 'cap'] = shares * tesla.ix[i, 'Adj. Close']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Create a year column \n",
    "gm['Year'] = gm.index.year\n",
    "\n",
    "# Take Dates from index and move to Date column \n",
    "gm.reset_index(level=0, inplace = True)\n",
    "gm['cap'] = 0\n",
    "\n",
    "# Calculate market cap for all years\n",
    "for i, year in enumerate(gm['Year']):\n",
    "    # Retrieve the shares for the year\n",
    "    shares = gm_shares.get(year)\n",
    "    \n",
    "    # Update the cap column to shares times the price\n",
    "    gm.ix[i, 'cap'] = shares * gm.ix[i, 'Adj. Close']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Merge the two datasets and rename the columns\n",
    "cars = gm.merge(tesla, how='inner', on='Date')\n",
    "cars.rename(columns={'cap_x': 'gm_cap', 'cap_y': 'tesla_cap'}, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>gm_cap</th>\n",
       "      <th>tesla_cap</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2010-11-18</td>\n",
       "      <td>43.941453</td>\n",
       "      <td>1.52439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2010-11-19</td>\n",
       "      <td>44.031417</td>\n",
       "      <td>1.58049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2010-11-22</td>\n",
       "      <td>43.800079</td>\n",
       "      <td>1.70340</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2010-11-23</td>\n",
       "      <td>42.733352</td>\n",
       "      <td>1.76307</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2010-11-24</td>\n",
       "      <td>43.028951</td>\n",
       "      <td>1.80897</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date     gm_cap  tesla_cap\n",
       "0 2010-11-18  43.941453    1.52439\n",
       "1 2010-11-19  44.031417    1.58049\n",
       "2 2010-11-22  43.800079    1.70340\n",
       "3 2010-11-23  42.733352    1.76307\n",
       "4 2010-11-24  43.028951    1.80897"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Select only the relevant columns\n",
    "cars = cars.ix[:, ['Date', 'gm_cap', 'tesla_cap']]\n",
    "\n",
    "# Divide to get market cap in billions of dollars\n",
    "cars['gm_cap'] = cars['gm_cap'] / 1e9\n",
    "cars['tesla_cap'] = cars['tesla_cap'] / 1e9\n",
    "\n",
    "cars.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visual Comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kDEhONh+2de2qn8YfHe2J117zQVSUArVrB6BbNx+kpJSt7n8KUAkhhBBCyoDL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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x225050348d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "plt.plot(cars['Date'], cars['gm_cap'], 'b-', label = 'GM')\n",
    "plt.plot(cars['Date'], cars['tesla_cap'], 'r-', label = 'TESLA')\n",
    "plt.xlabel('Date'); plt.ylabel('Market Cap (Billions $)'); plt.title('Market Cap of GM and Tesla')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "Tesla briefly surpassed GM in market cap in 2017. When did this occur?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tesla was valued higher than GM from 2017-04-10 to 2017-09-21.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "# Find the first and last time Tesla was valued higher than GM\n",
    "first_date = cars.ix[np.min(list(np.where(cars['tesla_cap'] > cars['gm_cap'])[0])), 'Date']\n",
    "last_date = cars.ix[np.max(list(np.where(cars['tesla_cap'] > cars['gm_cap'])[0])), 'Date']\n",
    "\n",
    "print(\"Tesla was valued higher than GM from {} to {}.\".format(first_date.date(), last_date.date()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "During Q2 2017, Tesla [sold](https://en.wikipedia.org/wiki/Tesla,_Inc.#Production_and_sales) 22026 cars while GM [sold](http://gmauthority.com/blog/gm/general-motors-sales-numbers/) 725000. In Q3 2017, Tesla sold 26137 cars and GM sold 808000. In all of 2017, Tesla sold 103084 cars and GM sold 3002237. That means GM was valued less than Tesla in a year during which it sold 29 times more cars than Tesla! Interesting to say the least."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "# Prophet Models "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
      "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n"
     ]
    }
   ],
   "source": [
    "import fbprophet\n",
    "\n",
    "# Prophet requires columns ds (Date) and y (value)\n",
    "gm = gm.rename(columns={'Date': 'ds', 'cap': 'y'})\n",
    "# Put market cap in billions\n",
    "gm['y'] = gm['y'] / 1e9\n",
    "\n",
    "# Make the prophet models and fit on the data\n",
    "# changepoint_prior_scale can be changed to achieve a better fit\n",
    "gm_prophet = fbprophet.Prophet(changepoint_prior_scale=0.05)\n",
    "gm_prophet.fit(gm)\n",
    "\n",
    "# Repeat for the tesla data\n",
    "tesla =tesla.rename(columns={'Date': 'ds', 'cap': 'y'})\n",
    "tesla['y'] = tesla['y'] / 1e9\n",
    "tesla_prophet = fbprophet.Prophet(changepoint_prior_scale=0.05, n_changepoints=10)\n",
    "tesla_prophet.fit(tesla);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Predictions for 2 Years"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Make a future dataframe for 2 years\n",
    "gm_forecast = gm_prophet.make_future_dataframe(periods=365 * 2, freq='D')\n",
    "# Make predictions\n",
    "gm_forecast = gm_prophet.predict(gm_forecast)\n",
    "\n",
    "tesla_forecast = tesla_prophet.make_future_dataframe(periods=365*2, freq='D')\n",
    "tesla_forecast = tesla_prophet.predict(tesla_forecast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JoCZqwedSABRCMTve5xcwBPCYClkeEx5DIWKnLmzuCcYaPG6lcE37YgAmIiIi\nSkPfVoYxMK+2T29V2ELM1pD46OLEs20iAp9bwW0oeF0GvK7UPuK1ape/weOxNNoB5kNwRERERGmo\nxB+t87WCcvr9OhvAMKAg4rQ9y/W66gy4SKWvSwMNHmcJBBERERE1KGZrbNwTrBMYN+0JYldNBO54\njS8QH3YhQHwKctpY8HVZg8ctO30WygBMRERElEZsAcpDVp1jVWEbMVugVLzbrwK0KIgAWZ70+YX+\nht3BRs+lUwkEAzARERFRmti4O4iqsIWopeEyFHZUhuA1DXhMp8UZxAm/Ck7bXy2CAdm+5t62w7y1\nsbzRcyyBICIiIqI6/FEb31WHYWlnvLGtBdsrwlCGcup9gXgAdh6Cs7XTCi3VLC1YtH4Pvir2Y/Hm\nigav8bkM9O/h7eCVNY4BmIiIiCiFbC1Y8V0NDOWUPwCAUgKvaTjtzGyB12VA4HR8UIL40Avntam0\nqyaCi174ptnrxhRm4eLDizpgRS2TPkUjRERERN3Q9ooQqsIWSgNRuAyn1EFrAEohMchNa4l3fADy\nfC7k+UzEbI1U5t+IpVsUfgFga0WonVfTOtwBJiIiIkqRiKVRFrSgFOAxDUCcul4RxCe8OTW/drzj\ng8DZDdYisEQwvCB19b/PfVXS4muvO35QO66k9RiAiYiIiFJk1S4//FHLeaIt3t/X1s5fEyQefEUE\ng3KdwGsoBct2/jcVAlEbT31R3OLrTxtZ0I6raT0GYCIiIqIU0CJwGQoupRCFhoLT1kyLOA+6SW0u\ntrUThPc2rIN3f9/dXI4/L/0WwwoysKMy3OLX3TNlGEwjNUG9MQzARERERClQEYxhTzAG00C81EEg\n4jzcZqC2DMIwnGMadROwq4NCpYjgZy+txbdVEQDAmpKGJ701+nqkT/uzBD4ER0RERJQCe0JWfJpb\nIiA6D8DlZ7icDg+J4/G/u43UxLZFG8qT4Xd/9M70tOFq2gYDMBEREVE7a2gIRNR29nSdjg9Ilj/0\n8Lqcmt/4zqlSzutT0UdXRHD/Rzv2+/VDct0dXqrREiyBICIiImpHwaiFNSVBGAZwRL8cGEqhKmzB\nSgRggTPoQkmyztfS8Yfh4rXAMTs1ZQTvb6k8oNffNL5PcnBHOmEAJiIiImpHXxYHEI7ZUAoo9Ufh\ncxn4/LsaZ7iFSHKksSs+3AIAhuX7UOKPwmUALtPEsPzU7KLe8f62A3p9rs9sm4W0MQZgIiIionYU\njNpwmwpRS7BpT7BOR4dE4FUAcnwm3KZTnWoohTyfC27T6LCH3fYVsQ5s0LLHVHCnWfeHBAZgIiIi\nonayYU8YtssVbwPmNDWLaYGRMjNaAAAgAElEQVRhOLu+iVZn/Xt46pUKZLhTu3vamkEXDblryjAA\nVtsspo21OgB/++232LNnDwzDQK9evdCvX7/2WBcRERFRp6ZFUBXVyPI63R0ETtgVqe3tq0UwMNeb\nlnWyrRl0sa+rjumPcQN6YE95eRuuqO20KACvWLECzz33HJYuXYrKytpiaKUUCgoKcMIJJ2DGjBk4\n/PDD222hRERERJ2JrQXVERvZOSre7qy25AHKCb8aSMvw+01p63r9AsChfTJxZL8cHNk/B4f3zWmH\nVbWdJgPw5s2bMXv2bJSXl+PEE0/EQw89hOHDhyMvLw8igoqKCqxbtw4rVqzAddddh379+uG2227D\niBEjOmr9RERERGlJAJhOEwdoXdvvV0QAiYfiBtqjpYMrX9/QqusP6pmBx846uJ1W0/aaDMC33XYb\nZs6ciWOOOabB80VFRSgqKsKkSZNw3XXXYcmSJbj11lvxr3/9q10WS0RERNRZiACmUbv7Czi7wlBw\ndoC1YEiKujs05aNtrW99du+pw9thJe2nyQD87LPPturNJk6ciIkTJx7QgoiIiIi6gkDUTtb9Jqa6\naQ04Uy+cGmAjzcofIpbGHxdvbdVrpozIR89MdzutqH00WwMcCARg2zZ69OiRPLZq1SqsWLECOTk5\nOOmkk9CzZ892XSQRERFRZ7OlIuR0eUikYDhB2FAKUM6Et3Tz1092tvo1V4zr3w4raV9NjkKeN28e\nxo8fjzfffDN57JFHHsFFF12EhQsXYu7cuTj11FOxYsWKdl8oERERUWchIghEbOeL+ChjLQJbOyOO\nTaXQL6fjRxs3pSIUwxvr9jR73cSheTiyXw6uGNcP7/3i8E63+ws0sQO8c+dO3Hfffbj99tsxdepU\nAE4LtL/97W948MEHcdpppwEAHnjgAdx111145ZVXDmgh77zzDh555BEYhoHc3Fzcdddd6N+/P+69\n91589NFHsG0bl112GS666KID+hwiIiKi9hbTgojthF4RJwC7TYUMj4GoJc6DcGnmsU+/a/aaB88Y\ngSP6pXeHh5ZoNADffPPNyMjIwGeffYbPPvsMgBOKDcPAkiVLsGTJEgBOicTGjRtx0003YfLkyTj5\n5JNbvYhwOIzf//73eO211zB48GA89dRTuOuuuzBx4kRs27YNb775JgKBAGbMmIHRo0fjsMMO28/b\nJSIiImpfIoKdVWHYWsNtGsjyGIjaBiKWRr7PjfJQLGXT3Rpja8E7myqava4rhF+giQA8ffp0zJkz\nB1deeSUMw6mUuPrqq3Heeefh8ssvT1735ZdfYunSpZg5c2adOuHWsG0bIoKamhoATqj2er1YvHgx\nfvzjH8PlciE3NxdTp07F66+/zgBMREREaWfD7iAG5zldHb6rjkIpBY+hkOU2keU24Y86JREFGR1b\nMmBpQXFNFH2y3fCYDVe/vrZ2d7PvMzA3vUo2DkSjAXjKlCl48MEHMXv2bJx00kn44osvsGXLFvzl\nL39B//79sXv3brzzzjuYO3cuTjvtNPTvv/8F0FlZWbj99ttx4YUXIi8vD1prPPfcc7j88svRt2/f\n5HVFRUVYv379fn8OERERUXvZHYgiz2fi26oIIpZOPviWkO3p+NHGn35bhRve2pL8+sShebjt5KH1\nrnvk/5p/+O3mSUPacmkp1WgA9nq9eO655/Dggw/iueeeQ8+ePTF37lwMGjQIALBmzRrMmTMH06ZN\nw4033nhAi1i/fj0effRRLFq0CIMGDcIzzzyDq6++GlrrOtNRRCS5G90SJSUHNsO6LZWn6SjAjsL7\n5/13Z7x/3n931l3uX0SwsySAPeUKlgaitsAWABE/9rhbnl3a0qaKCG54v+444/e3VmLQp9tw1kG1\nv7XfVhVt0fv1NsPYUx5u1Rqqq6ucFnAhE76Ip1WvPRCFhYVNnm+yDVphYSHuu+++Bs+dcMIJ+OKL\nL9pkfN/SpUtxxBFHJMP1xRdfjD/96U84+uijUVpamryutLQURUVFLX7f5m6+o6Xbejoa75/3353x\n/nn/3Vl3uP/lO6uRkWMiL8Pt7P4CiNoaOmSgZ0FBh69Hi+DBt79p8NzTqyswZVQRBuQ65RpXvv11\ns+83bVTP/b6PvLx89Mp2ozAvY79e3x72+58khmG02ezqQw89FMuXL8fu3U79yeLFizFgwACcfPLJ\nWLBgASzLQnV1NRYuXIjJkye3yWcSERERtYVQzEZ5MIYsjxmf+lbb8iw1e7/AvzeUo8Tf+M7uJfPX\nAgB2VkWavC7h0iP6NntNZ9LsIIyOMH78ePziF7/AT3/6U7jdbuTm5uKxxx7D0KFDsWPHDpx99tmI\nxWKYMWMGxo0bl+rlEhEREQFwSh92VIah4Ay8EEFy7LElArMDmj1Uhi2c8+zqVr9u0t9Xtui6X/2o\nb6fs9duUtAjAgFP2cPHFF9c7fvPNN6dgNURERETNi9qCskAMzmg3JHd/FRRE2n/UsaUFV77Wvg0C\nzhvdu13fPxVStTNPRERE1OnFtCCmNaAkufsr4ow8HpTrg7ud+/3O+7IY39e07CG2/fG3sw9Ghrvj\nu1e0txYH4GAwiIceeghbtmyBiOCmm27C4YcfjksuuQTFxcXNvwERERFRF/FNiR/bKkJYVxpAzEay\n5VltGYSgvWddRCyNJ79ovwx2eN9sjOqd2W7vn0otDsB33nkn3nnnHYgIFi1ahEWLFuGOO+5AXl4e\nbr/99vZcIxEREVHK+aM2wpbG9ooQdgdj2FoRQlXEgstw8m9i51eLAAK0R/61tMCKFxm/v6X5yW0H\n4s7J9fsFdxUtrgF+77338OSTT2L48OF4+OGHMXHiRJx11lkYM2YMzj///PZcIxEREVHKFddEEIza\nKAvGELMFLkNBgOROryDeAQKCIW3c8ktE8OCyb/HGuj1t+r6N6Z3lRo43bR4Va3MtvjPLspCdnY1Y\nLIZly5Ylh19EIhF4PB3X2JiIiIgoFdyGQnkoBtsWeE0Fw1AIxTSUoaDg1P9GLEFeRuuDoz9q48xn\nvkp+PaYwC3+ZehBc8XT9x8VbsXR7VVvdSrPuaGBaXFfS4p/QEUccgXvvvRc5OTmIxWKYPHky1q5d\nizvuuAPHHntse66RiIiIKOXcpgFbACO+82vrRM9fINfngstQ2BOKId/X8pZhMVvjl6+sx/bKuhPW\n1pQEMPmJL/H+Lw7H1opwh4ZfADikT1aHfl5Ha1UNsIhg3bp1eOihh5Cfn4+33noLvXv3xh//+Mf2\nXCMRERFRSmkRbKkIwVSAUk7Nr97ngTfTUOiT1fLfim/cHcSUJ1fVC797+5/PvsdNb29ugztoudNH\ndvzkuo7W4h3goqIizJ07t86xa665ps0XRERERJRuIpZGxNIwlRN6AacuVwSwdevf77vqCH71avP9\ne59fXdr6Nz9Avz6qX4d/ZkdrVZHKRx99hNWrV8OyLEjipx83a9asNl0YERERUbrYVRNBzBYYpkKi\n55kd3/21xdn93VfY0vj9e7uwpXI7AODSI4qSI4UvfvGbDls7AJw1qhdeX7e72etOO6gA+Rlda+pb\nQ1ocgO+55x48++yzGDVqFLKy6taFqHaeckJERESUKlFbIxB1mv0KFATONnCi44PHNBqc+PbX/9uJ\nLZW1Qyqe+qIYo/tkIWztx5bxAbrqmP4Y2SsDDyz9tsnrLj68sINWlFotDsCLFi3CnXfeyZZnRERE\n1K3sDsRQ4o9Ba0AMxDeAFbQIXMpA/xxvvdcEozbeXF+/Zdnv/9Ox9bwA8LezR8LrMnD6yJ547qtS\nfFcdafC6q4/pj4G5vg5eXWq0+CE427ZxxBFHtOdaiIiIiNLOht1B6MSYYzj7wIAzlGJAbv3wCwD/\nWLGrA1fYuLNG9cLBvZxpbqah8NT5o3Bkv5x6100eno/zx/Tp6OWlTIt3gC+55BL89a9/xR133FGv\nBIKIiIioK9oTiMLnMhDTFnT8oTdTKYQsOzmRrSELvi7rwFU6fC4Dc04bjhdXlyJqa0wf0wdHDehR\n5xq3aeDPZ4zA8p3VeG9LBb6vjuInPyjEuAH1Q3FX1uIAvGzZMnz11Vf497//jfz8fLjddQukP/jg\ng7ZeGxEREVFKbSkPOeOHbYGG89BbpttEns+FxuLv7kCsI5eYdO+pw3BYUTYOK8pu9tqjBvSoF467\nkxYH4OnTp2P69OntuRYiIiKitBGxNMpDFrI8JrQ4JQ9et5Hs+duYb0oDHbhKR69MN0Z38eEVbanF\nAfjcc88FAPj9fmzfvh22bWPw4MHIzc1tt8URERERpcqqXX4YSkHD6f2b73Mhz9t8dHohBb17Hznz\nILjNFj/a1e21OABHo1Hcd999eOGFF2DbNkQELpcLU6dOxZ133gmPp+WTT4iIiIjSXTBmO1Pf4iOP\ne2Y23x9Xi+DrDt4BPn90b/Tr0fDDeNSwFgfg++67Dx9++CHmzp2LH/7wh9BaY+XKlbj77rvx0EMP\n4YYbbmjPdRIRERF1mHVlAYQtDVe81MGWxh9429vmPaH2XBYA4LkZh2L5zhqsKwtg4tB8HNXNHmBr\nCy3eK1+4cCHuvvtuTJgwAdnZ2ejRowcmTpyIO++8E6+//np7rpGIiIiow8RsjT3BGBQABWdX1+du\nWWR65Zvmp6015X/OObjJ8z8e2wd9c7w465BeuP6EwTh6YI8Gh3BQ01q8AywiyM/Pr3c8Ly8PwWCw\nTRdFRERElCrF/igie01rswXom914icGumgh+8+ZGlB1A94c7Jw/FhCF5AIAnzhuFy15e1+B1/zWu\n335/BtVq8Q7wMcccgwceeAA1NTXJY9XV1XjwwQdx9NFHt8viiIiIiDpSWSCK6oi9V5cHBd1Ev99V\nu/y46IVvDij8zjymfzL8AsCwggzcMmlwveuuOqY/FHd720SLd4D/8Ic/4Gc/+xlOOOEEDBo0CACw\nY8cODBkyBI8++mi7LZCIiIioo1SGLFQE42OPAUAJ7Ebyb03EwqyFGw/4My9oYALb5BEF0OJ0lCj2\nR3HbSUMwrhv37W1rLQ7AhYWFePPNN/Hhhx9iy5Yt8Hq9GD58OI499lj+a4SIiIi6BAEQimkkoo0d\n7wDRkNnvbjvgz/vN+AGNnjvloAKcclDBAX8G1ddkANZawzCM5N9N08SJJ56IE088MXmNiEBEktcR\nERERdVYRS0OLwFTOA3Bel4E8X/2Ms6smghXf19R/gwYUZrtRlO3FqmJ/vXPnje59oEum/dBkAB49\nejSWLl2Knj174tBDD21yp3ft2rVtvjgiIiKijrK1PISIpSEA7EQJBACPacAftfHHd7Zg5a76IbY5\nBRlu/Pb4gfj5S7VZyecy8Pi5TXd8oPbTZAB++umnk5Penn76aZY6EBERUackIthVE0XfHE+jeWZP\nKAZbBBK/PqYF2R4TlhacN281oo0VAzfjsKJsDM7zYfFlh2NHZRgl/igOK8pGlsc8gDuiA9FkAB43\nblzy7+z0QERERJ3V2tIAdgdjKPVHcXi/hgdHVIdteE0FEYEWZ+c2w2XgmZXF+x1+AeDiHxQCAFyG\nwrCCDAwryNjv96K20WQAnjhxYot3fT/44IO2WA8RERFRm9qwO4jSgDPYwh+1GrxmfVkAhgKsePjV\nIshwGYhYGk+vLN7vz75kdB56+Frcc4A6SJM/kVmzZrHsgYiIiDq1YMyGpQUuA7BF4ZsSPw4tzAbg\nlDqsKQmgKmwB4gy9EBFkeUyYhsJraw9sslthFsNvOmryp3Leeed11DqIiIiI2lzE0rBsga0FSimY\nAnxfE0UwVo2h+T74ozYqwxZqIhZ8LgNaABGgZ4YbAPD86tID+vxemQzA6ajJn8pPfvKTFu8Az5s3\nr00WRERERLS/oraGoRRchkIgamPFd9VQSjkPtqG2s8PuYAyhmA2vy0TE0vCY8bavItDxq0r8UWdn\neD+NKczCQfmeA7shahdNBuDx48ezBIKIiIg6he+qIyjxRwEIflCUg9XFfgSiNrK9JrQIRAMSH3Hs\ncxmIaoEVcwKuwOn7a2uB1s77Pfbpdwe0nj+dMgzRQPUBvUdXELV1qpdQT5MB+Oqrr+6odRAREREd\nkI27A9ACGApYuasGVWELnr3KGmwBDAiUcup8bQ3YANymQszWgDJgCzA03wcAWLK1cr/X8rvjByLH\n68KeQBvdXCdla8F31VH0y/Wmeil1NBmAr7/+etx6663Izs7G9ddf3+QbzZkzp00XRkRERNRSpf4I\n3KYByxZYWhCzBaahAEEyACf+AACUE5QFgr0nHbsMBaUUPt5e1eo1/Pa4gfhhv2z0ynQjw80evwBg\naYHHk37VBE0GYNM0G/w7ERERUTrZsCcE25bkIAutJVnvq0WgRQAB3FBO6IVyrhXANAERBaWAomwP\nRAR/eGdLqz7/uMG5mDaqJ0tH96GUQobbrPOPjHTQZAD+05/+1ODfiYiIqPvx+/1Yt24dRo0ahezs\n7FQvJykQtVEZtJDjNaEFdaa5KaWgNaCB+P+L7wTHzzu7wgqAxP8XeOqL1vf9/cPEwQy/+4hYGt/7\noxiVZ8DS6ZWAW9Wb4//+7//w/PPPY8uWLXC73Rg2bBguu+wyHHrooe21PiIiIkoDfr8fJ510EjZs\n2ICRI0fivffeS3kIDlsaYUtjbWkAPrcBiZc7aHFKGxJsEVi2oPaX2cq5VieCcO17VoWtVg++OPfQ\nXhxr3ICorZHjNpHtMZFe8RcwWnrhSy+9hF//+tfIzMzEjBkzcM455wAAZsyYgYULF7bbAomIiCj1\n1q1bhw0bNgAANmzYgHXr1qVkHWtK/Ph4RxXKAlFUh2PYURlCTaS2k4Ozq+t0ckiUNYgIhub7MCTX\nCwWVLIlI1AbrxI4xBL9dtKlV6xlbmIXfjB/Q9jeahmwtqAzH8G1VuN65UMyud8w0FDwuBVOpzlUC\nsbdHHnkEd955ZzL4JvzoRz/Cn//8Z0ydOrXNF0dERETpYdSoURg5cmRyB3jUqFFt/hkST0lNlRJU\nhi1Uhy2sLrbhdRkQAEb8+r1DrS0CpZyyBlucMAYABRkmwpZCZdh26oLhTIcTCHZWRrC5PNTkGkf1\nzsSs8QOwqtiPofk+HD0wt9n7KvHH4DKBTJfRaR+Oi1gaxf4oBIBl102zthaUBmKIWFGM7JWRPF4a\niMFrOj2Z002LA3AgEMDYsWPrHT/yyCNRUVHRposiIiKi9FFSUoK3334bzz//PMrLy9utBvj76ij8\nMRvhmIZpAGMK635GZSiGQMSGxzTgNg2EYrX9ZZ0qXif4Jjs/wAnHOXuVJyil4DENKNjJwRg+t4Ec\nj4lHPt7Z7BofPH0EMj0mDumT1eL7yvEa2BOMIRi1MTC36QBcGoiiIMOddqHR0gK36dRTq/gthGIa\nLsP5HnpdBky1V9mJFnhMBcQAw0j8dNJHi0sgfvrTn+L+++9HVVVtW5BQKIT//u//xoUXXtguiyMi\nIqLUKikpwdixY3H11Vdj3LhxKCgoaPPwu6MyhF3VEVSGLXxbGcaeYBQVIQvflPhRGZ/EFrE01pQG\nnKArtbvFhqp9qA2Il0DEW5uZUIjaGrm+uvt9pqFQlOOBpQW9Mt3I97lQFbbwybfND63IbEWtr60F\ngahGhttApsdEr0x3vWu2VoRRGbYQsZww7zZUWg6OsLTAZRjI8BjwugzURCxEbI3SQCzee1khw2NA\nRBC2NMqCMbgMAwbQ+UogJk6cmPw1hIigpKQEEyZMwIABA2AYBnbu3IloNIpDDjmkQxZLREREHevt\nt99GNBoFAFiWhdNPPx0rVqxosxCsRfB9dRSVYWuvXU+nTndHVQT+qMZRA3IQtpydYQH2Km2Q+Jhj\n52tDOcMuFJyd4HyfC25T4fvqCBZt2IPjB+dhVO/M5Gf3zfYkA+0TK3Y1u9YZY/u06t4sLaiK2BgI\nBbdhwDRUsjMFAASjNgBBRSiGmMeFWCiGgkw39gRi8JhGm+4C7/25+6MsEENehgsupZDpNbHLH4HP\nZSCmBTurI8jzueA1DWyvikBEkON1wWUAUQXEN4LTSpMBeNasWWzpQURE1I398Ic/rPN1SUkJVq5c\niQkTJrT4PbQIorbA56r/i+fqsAV/1IYr/sBU1NLQ8d1bt6ngj1rYVRNFeSgGt6lga0k+uJbs+CCA\nhgZgIC/DhYpgzPlVvQIe+GgHFm0oBwA8+2UJAODdyw6Haag6u7kL1+9p9j5+8aO+Lb5nwNmdzvEa\n0PF6ZC3ApvIIBuV64XUZCNkamW4TGkDPLDfKg7U1s9srwxjQw7muLWyrDGNofkbzFzbC5zZgGgDi\nw0N8LgMuw4DLkOT0vWyPiXD852cowG0YiELBMBTEapPbaDNNBuAzzzwTHo+nVW8YjUZb/RoiIiJK\nP36/v8Eyx5kzZ2LZsmUt3gWujlhYUxLAuAE94DFrA10oZmNtWQDhmE62MbM1ACVwxX9lrgXYXhlG\nIGrDbTpdHZwdYiS7PQCAzzTgiz9klu02sb0yjI+3B5Lhd29/eHsL7jttePLrFd/VtOg+9l57Szhl\nAwoKgIJCIKaR5TGwOxhDD5+JYNRGlsd0Qq4APeJ9jH0uA0opFPujGJznq/Oe63cH0b+HF9n7lGLE\nbKclXEkghhEFdYOuFmcdWiT5wGBrlAVizpoAGPF/mHhMA4YCTMPp8ZvpNmEYCm7D2Ym39ipRce4/\nvTT5k5w+fTrmz5+f/NVHU4LBIObNm4cLLrigzRZHREREqbNy5Urs3Fn/wbDt27fj448/BuCE5I8+\n+ggffvgh/H5/vWtFBN9XRRCOaXxdEqhz7uuSAAJRDZ+7Nh4lWpntLWbr5G4vxNnZTfTvTcxXcBkq\n2WHBZSgMzvVi9nvbGryvT3dW45Nva59pumVx81Pfrj6mf7PX7GtndRR5XgNQTgg2lUKuzwWPaaA8\naCHDbSLxfJhSzoNkIgAU4DEVCjJcKAvWZjAtAlMplPij2F4ZrvN92lYZQVkwhoIMFzbsDqHE77yu\n1B/FzuoIsj0ufFfdfJ5riMtwQq+KP2qo4NQquwyF+KZwMui6TAWfy4SCgsT/seLcW3pF4CZ3gJ96\n6in8+c9/xv3334/x48fjuOOOw7Bhw5Cfnw8RQUVFBdavX4/PP/8cS5cuxZQpU/Dkk0921NqJiIio\nHYVCjbcE27FjB/x+P0444QRs2eIEyBEjRuCDDz6oszP8ze4IvDnOLuaeYAyl/ij6ZDu/Kfa4EhPY\nkOzXq5PT2Wr/7N23N9HuITHG2Iagd5YHEMHGPUF4TQMDc714be3uJu/txre24M2fHYbdgWidbhKN\nOW9072av2ZfHVDDjO8BQCoZyAmyfbDcCURNQQNTS8V1t5yGzmBYYALQC3KaBsmAMvTOd7823VRH4\n3Eby/m0BErnSYypkuk0UZLpRHbGT9cNVERuF2R5kug1EbI2IpVtUVqHFCbrF/hh6ZbrgNg3URC0Y\n8f1cj8twarABGMn2dUCu14Vw/IE+QwF9s13Iz6j/8F+qNRmA8/Pzcdddd+Gqq67Ciy++iBdeeAHr\n1q2DbTvNjl0uF0aNGoUTTjgBv//979G/f+v/dURERETpKSOj4ZpRwzAwbdo0fPHFF8nwCwCbNm3C\nunXr8KMf/Sh5TCnAYygERJDtNbGuLAC34QSzskAMhnL69AK1U9y0rp3jJpB4n17UDrcwnNKHRB/f\nreUh/OrV9a2+vzOf+apF1/1m/IBmn4n6tiqCggwXAjGnTVuJ32lnZmhnB1QpJywqlditNhC2dHzn\nVMFQCi7DAMQpXlbiXOeNl13sCVnx2lsTthZkuQzY8RKL8lAMLkOhh8+E1k4trts0sKsmAkMBmfHu\nDG5TYWe1s87mQmlZIAZ3fOfXbTqxFwJIfMs322PC0hrhmDg7w8opfUh8n1T8vnpmmGk5Ja9FfYD7\n9u2LWbNmYdasWdBao7KyEgBQUFDQrosjIiKi1PnhD3+IAQMG1CuDGDRoELKysuqFwgEDBtQbkGHE\ndzJ1vL7XH7WxqtgPj8t0xhMbSJYIOAFXoFHb2izR8kxEYKNu2zMNJyzvT/htjTMO7tnkeUsLsjwG\nSgLR+I61M6Qj22vCiMQvEiccGsqZjKYgycColNOhwRUPl05QFhiGEzRFBIGojQyXCZ/LeajOMBTK\ngjGYhhM0vS4DmW4TlhZkuA1UhqxkDbKpAEs73Rgy3EaTHXkrwxbKAjFkug1UR2wMzvPCNGo7biRK\nHrI9JqojAsMQGPEfWKLWVynn5wQ0PdQklVr9aKFhGCgoKGD4JSIi6uKys7Px7rvvYtCgQXWOb9u2\nDevWrcPIkSPhdjs7iaZp4vXXX69T/hCxNPxR59fhiXHDbsOAP6qTu7xaw9lZhPPgVGKAhd6rua+z\n2+sE4TyfC70y3egX7+P72jdNlzocqCfOG5XsXhGzNWqidUf++qM2QjEnnGa6TWS4DWS4DGR7nPpe\nVzLQxneC4383Eg/HxetknQfK1F4PqTnnCzLdKPZHUZjjcXZjDaeOuIfXBZ/LgM80kek24DGdAJ0I\noW7TeSAw023CUMr5fCj08JpNlkDYWpARr0XOcBvJYB5fZvy99gm48RszDAPKSJxTyM9o8by1Dtc2\nvTWIiIioSyosLMTHH3+MN954AyNGjACA5Cjk9evXIxZzOrzato2NGzfWee3XpX64jcQ8gUQvWqfL\ngb1XXa/Ed0N1vLZ1aJ7PKYuITxZzNhglOdktERIHtaDW90CcMbInhsU7KlhaUBG2EIrZKPFHUROx\nICIoroliT8iCx6WQEw+XGR4j2bEisctbkOl21l2bF+NlA074TQyMSEj81WU4r9c68V7OcVMlukU4\n75XpNpPBOvE6n8sZTmHGn1BLlFs01V/YNBR8bgOGAXhN5/0Nw4mLiYfcVLy1WWLtiXKH2gfinHsf\n1bvl0/I6GgMwERERNSk7OxsTJkzABx98gMWLF+O9995DdnZ2vV9vX3fddXU6QVSHbSd8wQnAtb97\nlzoPuCkFuEwDfbPdGIvD8ocAACAASURBVJTrPDCnReAzDUS1TgblwiwPvquK4MtdNYhYGo99+l27\n3vfM8bXPNkVsZw2ZbicUVoQs7KyOJh8+Mw2FHK8L2R4TpkIy+LsMAzleEwf3ykSmuzZIOt0fBIkj\npqHgdSkML8iIB2cFgYJpGPEaWqfW1hkEEg/NRjx8JnZglUruACfKIvK8rmQwVfGdYK9pYEtFKDl9\nbm/BmA3TcMK4z53oXlFbvnFQT2eQSDLsAvF/kDjlLCK160hn6bs3TURERClVUlKCt99+G6eccgoK\nCwuRnZ1d5wG3kSNHonfv3igrKwMA7Ny5s85DcFkeE9VB51otAjv+0FpiipszwAJwxcOwUgqRmA24\nDPTL8QJwdjmL/TFYWjDlyS+Tbc/a2ykj8pHprn14S8F5KM2Z0GbAZdgIxnQ8+JpOXW8yhDrxz1AK\nPpeRHEDxg745+OL7GhgGnLrZ+ANxiZpaLUCuzwVDKfTN9qA8ZME0nO+BpQWGcnbKnT9GvCODJNeX\nOAeloJROlj4YRu2urFLOqOgst4myYCw5Lc9tKOzyR+GJP/D2/9k78/ioyrMNX2eZPfuekEAIMaJs\nQnFFETGK4NJWC1Qrxb3a1lpq7afWFrUurUuta9X6ufdTse7UXRS0CEJBBCHGEEL2fZt9O+f748xM\nMmQSgsr+Xv7yM3POe868Jwkz9zznee/brEookhyruEcru9FYaXOkL0KKVK/zkiyYFYnOUCgmoPdl\ndkkABwIBPv74Y7Zu3Yosyxx66KEcd9xxKMq+t7pPIBAIBALBN6elpYUJEybEAq42btxIbm5ubL/L\n5eLMM8+MiV8As9lMUVERYIRcBMJ9FUaNqGuDUa2MWp6l20w4AyE2NfRy8w6+vU/96DAKUyyENJ27\nP67dY+IX4JoT4vueJUmPtTXYIhHA1ohrhVEFjYwj0qYgGYvPBnQbxMbLSGiMTrdR1+0jN9mC0u8c\nxRk2uhp7Iwvm+iq4OvRrOyAigqNOEpEWhUhLQnQuEn3iPPoMDotCuztAozNAikUhLSK8zYpRITas\nzPSYv68iQTQHRJIMoW5RZao7vKgKFKVZ8YWMqOoeXyhW+d9XGbYA3rp1K5deeind3d0UFxejaRoP\nPvggBQUFPPbYY+Tn71o8oEAgEAgEgn2Xd999NxaEFQgEePfdd1mwYEFs/7p166isrIw7JhAIUFtb\nS25uLmvre7GqMr7IPgnDBUKRddAN6zMNHU8wzHkvbE44h4X/2sLbF0xka4eHzW2e3XGZg2Lql/rm\n9IdiKW7RSrDDpBAMazExqsiS0eaBHllw1teq0J+8ZDNhTScQ1rCqMpl2E45I20S0pcQWaZWIVpNl\nWUKKtIr0VZcjgjSsxxbYoRuLDNGjleBor6tuLJ5LMtPiNn6nGTYVT0AjIGtYVIm6Xj+5SebYcVER\nHxXaiiKRbzOq8nZVxiRLKCYFkyJR4Oir1idbVPwhDXcwfrHgvsawBfAf//hHjjjiCP70pz/hcBhN\nzU6nk9///vcsXryYRx99dLdNUiAQCAQCwZ5l2rRpCR+7XC7Wr1/Pr371qwHHFJeUYs0dzcc13XT7\nQhSl9sX4jkqz0hhJIpNlHU3TWV3n5O876eO9amkVX7XvWfH7P9P7qr+BsEaXN4TDosT8blVZJiCF\nY20P0Z5bo73A+D/oseptfwpSLDQ7/Zg0KMsy9JR1B1eGiXmGk4YiG+eSIbYAUJGMqq+hd6VYb64s\ngaLImKPuEhHlLUVs0myqxOgMG63ugCFoZRmLYvQYS5JEslkhxWL0MrsD4T4Rj4QkS8iaxIgUQ+iW\nRRa3KRIcnhNvh+cwKzjMNjId5u/kd7G7GLYA3rRpU5z4BUhOTuaqq64S8ccCgUAgEBxgdHZ2Dnic\nk5PDjBkzqKqqGjD+ij/8maknzaZXV2lzBRiZZojfQFjny1Y3I5LNZNhVPCGNcFhna6dnp+IX2OPi\nF2B2WZ/vb5s7iM2kxHp1DfEYtRqLhHhErMJCWp8LggyMSrfi7hoYD51pN5EUUgb1yI1utyiGHZkk\ngxw22htGZ9hocwf7WaoRc3XItJuwm2Tqe/3IWtSZwehDLor8PqLHKJKxoC8Q1glGvIOjYhr6WiwM\na7a+9ofB5rojSftg+EV/hu0CMWHCBD755JMB2zdu3Mjhhx/+nU5KIBAIBALB3mXs2LGUlZUBfbZn\n69evTyh+C0cVk5uTS3fNFqSAj5IMG6os0eIK8LO36vnF65X84J+b+OUblchASNO44b1te/R6Fk0r\nGta42WXxOQeSBCkWxfAqjvT0qrIUJ0CNGOOoQ4OxPdWqkmxW+vXd9mFSZJIsO69BFqZaSLaokQVl\nEpMLkkm3mSLhFnKsr7c43UqKpU+kK9HAioiNXNR9AozKb7SNIzpZSTLEvBKrZhOrXI9Ms5LtMJOT\nZBnWz29/YdgV4KOPPpq7776b1atXM3nyZFRVZcuWLbz55pucccYZ3HvvvbGxV1111W6ZrEAgEAgE\ngj1DUlISy5Yto6KigrFjx5KUlITX6x0wLisrC58/wI1XXgjAiJHF/OOlt7E7HNy7so7eQN9CuKoO\nLy9/2UrKMMTfd833D8tifI6Di1+pGHLcJVML4h6n20xGxTcmePv6e4kJTQmzKuMP62TaTbj8Ycbm\nfHsPXFvEhcKuyvhDWqzaqus6imLMIz/ZTLbD+IpSlm2nos2N3aRQmGqJnQegNNPG9m5fpL2iT+jG\nEuoiqj4azLGvV3K/KcP+C/zss8+YOHEivb29LF++PLb9iCOOoL6+PhaTuK9G3gkEAoFAINg1drQ9\ns9lsA8a0t8cHUTTU1lCxaQOZh05hZW3vgPFPr2/57ie6E+49/RAAxmTauGRqPo+tbUo47i+zSsi0\nm2KPG50BchymqHEFkiQZi8zosx3TdMi0GQvZ0CE/5butlNpMCqMzbOT18+wtSDHiibu9IYrTB/5O\nkswKpZl2Ui0D2yyiNmZRH9/osjopclGGwDcq2vu4kcO3YtgC+Jlnntmd8xAIBAKBQLCPc/iESeQW\njqKlfvuQ43q7u3lp6cdA1p6Z2BD87oSRTMrvi2c+/4g8LKrMg6vi+4+vOKqAo4tSAaPCurXTR5JF\nwazKBCLVV8Pv1oQ/rCNhuByostGXC+y2yrYkSXGexNGK7rjcwavMadbB5yJBLIrZWF6nxxbSqZGE\nt9HptgGxzwcSu/Sb2rhxI1VVVYTDxg9E13UCgQBbtmzhlltu2S0TFAgEAoFAsG/gCYZRE3j/y7KC\nphnaILegkFt+90tCP7oN8ve8AH7/oiN4r6qTZmeAGSVpsRCKXn8oFvIwd3wOpx+ayeq6XnwhjeNH\npZLcT7wGwjpJFgWHSTa8eSNfqiyR6TAT0nTsJhlXIExGv4rxnuab3nWXJSOpLhqUIaHHYpkljMAO\nVZb26rXtboYtgO+77z4eeughsrKy6OjoIDc3l/b2dsLhMKeeeurunKNAIBAIBIK9gMvliusBfnfV\n5zRsr44bk5NfwF8ff4G6mmqaG+pwu5w89ugjkH/oHp/vbaeUoMpSnIsDQEjTcQc02kNBzIpEYYoV\nu0nhpJL0AefQdJ3t3X4y7CopVjViZWaIw2jFVZUl0mwm0mz7p0Ack2lH03Vk2biWsBaxVdNBVaWY\nq8SBzLAF8JIlS7jpppuYP38+M2fO5KmnniI1NZVFixYxYsSInZ9AIBAIBALBfoPL5WLmzJlUVlZS\nVlbG2+++T1L+aLLzCmhrboyN+/nvFpORlc31v7iQ2uqIQ8S48j0+30y7yrEjUxLu84XCmBQJHTmW\nnDYYnd4QKVYlsvBNivjpGp6+/ReT7c9YVRld1xmdbsNmUlhd14MkGRVfxwG66G1Hhm2D1t3dzQkn\nnADAYYcdxrp160hJSWHRokW8/fbbu22CAoFAIBAI9jwVFRWxpLfKyko+WbeR0rwMfrP4trhxD91x\nExWbNvSJX4AxR+7JqQLwwJmGZVsokrIWpcUVJNmiIklGSIOqDC2A020qZkXCqipxlmBW9cCqikqS\nRLJFjVi6GRVgu0keEMpxoDLsq8zLy6Ourg6AMWPGsHmzEVvocDjo6uraPbMTCAQCgUCwV+jvA3zI\nIYegZRShyBKTph5Ddm5+bFxrk1ENzsjKNjaoZhg1eY/O9dfHFZKfbKHJGcAVCBMI67R7gui6TpLF\nCHuI9r2mWlU6vSF0I7c4Dm9IQ9P6LM9kKRopLMXS2Q5EZIz4ZW3gj+SAZdgtEPPmzWPRokXcfvvt\nlJeXs3DhQjIzM1m1ahVjx47dnXMUCAQCgUCwh+nvA9yTVIDFao/tM1v6rL6KiksYO34Sdzz6LJec\nPQuKJoLJmuiU3xmv/GQ8La4Aug5lWXYUWcITCGNWZRRZwhvUcAdDOAMhStJteIMaUc8DRZLQ0ekN\nhEntt/DNEwjjDIRJMkcjj/u8cWXpwLZ5VWWJQ7PsB/Q17siwK8CXXXYZ1157LTabjYkTJ3L99dfz\nzjvvIEkSt9566+6co0AgEAgEgr1A1Ac4PTkpFohQU1VJQ21NbMyixbdjdzjo7ek2Nhx6wjd+vuNH\npfLehZOYnD94tXXxzGLSbSbGZjs4LMeBElmw1ekNkWpVQNeRJLCbVJLNaqyFQZYMx1sj2U0lEDJa\nJcKajq7rNDoDZDlMkTjgvmPCmh5nQXYgYo/EIB9M7JIN2llnnRX7/uyzz2bu3Lnf+YQEAoFAIBDs\nOxg9tXqsB7a4tIyRJaXUVlcxsqSUseMnsWxrFzdvtMFvXv/Gz/PkOWMpTreh6zp/nFnMD/+5acCY\nTLvKiaPT8ATDcaLUH9LIsKsxWy9VNhZ6WVQjrU2KBjxEooEdZpmQphDSdNq8QXz9jgctIpolcpMt\nyOjDii3enzk898Bt7xiMnVaAKyoquOyyy9i+Pd70+pprruHiiy9m69atu21yAoFAIBAI9i6f1fei\n0dccanc4ePiFpTz03Os8/MJSPqr3cctHNYkPdnVAxYqdPsc9c0pjiWZfd/iwm5VYelt/bphRTIc3\nSJs7yNcdXkKaTkgz+n0NkSrFPB4kCRRZjlVzpUjUmQQokoyMUTVWZAmHWSHLYY70/kqRmGOdZLNC\nitUUEcaCA4khBfCWLVs477zzCAQCA0rj3//+9wkEAsyfP5+qqqpBziAQCAQCgWB/pbbbh0kCuxrf\nAmB3ODh80mRcuon7Pq0ffPHU2lfgnb8N+RwFyWYm5Rn+ujVdPuwmGV9II9Wm8H/zDuPciTlcdmQB\n71wwiSPykwiEdNKsKqlWFVcgzPZuH2bFCKyIxfkC6KBEFrHp0ZAHyUhAMyzOolVimXSraowFJMlo\noZAlKdZeITjwGFIA33vvvcyePZsnn3ySkSNHxu078cQTefrpp5k2bRr33HPPbp2kQCAQCASCPU9l\nu2fI/U+ua8YX0hLvrFgB65dCOMQ8y+CFsj+Vl9DoClLb7SfdruIwywTDOiZZJqzDZUcWcN6kXCyq\nTI8/TJpVJd1uwm6S8QTDpFoN2zJVlndwbzAErNHOoMcEj1EBNrablL4Fbooc9fw1KsATDsK2gIOJ\nIQXw559/zgUXXDDofkmSuOSSS1i/fv13PS+BQCAQCAR7kdr6Rj5e+i96O9sT7t/a4eXNyo6BO5q+\ngg/+Dm/eBbqGoigsuf03JG0d2AoxvTiN/BQzqiyRYlWwqTKybFRqLapMXrKFrV0+wFiM5gqEsZmM\ntgZFNrx6LYqMwxIJrgCiAlaSdKOdIfLfyDQLVjV6LEZvMJGWBwzBLPf7v+Ug8cM9WBmyqzscDqMk\nyPzuT0pKCsFg8DudlEAgEAgEgr1HS0sLk4+YSDgU4oFbVJZ8sBqPOYU/L6/ly1Z3wmOKUi38qqib\na/56TWxbckoazl7DHcL17/sY+/vjqXAawnJMho3Ljyqg0RmgIMVMklnFHzIWoJlkCYsiY5IlrIqM\nOxim0RkgzaKiyFGh2s+nFyKBDpEWBkBHQpZB0yRkWaIgxUp+soWKNnesp9ewO9NB0mOiWufAd30Q\n7EQAjxs3juXLl1NSUjLomGXLljFmzJhvPZGvvvqKW265BafTiSzL3HzzzYwfP55HHnmEV155hXA4\nzFlnncUvf/nLg86qQyAQCASCPcmTz79EOBQCIBwK8d677/B4YAKB8OBJCZdMLWBczigKi0uor6km\nO7+Atqa+yOTs7GyuPamErLQUHBHbLU9QwxwMY1P7enijVmWKYrQlZDpUen2GZ6/DLPdb3BY2ThyR\nBFEHCIk+GzNVktAVOCzN8DCWJIk0mylWCY66QkiRHmFZMiKPJ0R6kgUHLkPW9y+66CLuvfde3njj\njYT7X3vtNf72t7/x05/+9FtNwuv1cvHFF3PJJZfw6quv8vOf/5zf/va3LF++nLfeeouXX36ZpUuX\nsnr1at56661v9VwCgUAgEAgGR9N1unVL3LZ1FA0pfovTrUwvTsXucPDoi28aDhHPv8HIklIA8goK\nufXxl0lKSopF77a5A3iCIewmQ4rIsdzhiCgFVBlMiozDLKPIRKq/UszRIebXS7S3l0g/sDHGiD3W\nsfWr6OYnW7CocqQKHJXc0QVwEiUZNlFoOwgYsgI8ffp0rr76aq6//nruvPNOxo0bR3JyMr29vWza\ntAmXy8VVV13FnDlzvtUk/vOf/1BUVMSJJ54IwMknn0xhYSHPPvssZ5xxBna78cnt7LPP5vXXX//W\nzycQCAQCwcGIrus7FXebWtxo/n5tDvY01npTBh1vUST+eFJx7LxRhwiAh19Yypo1n/HT02fwRWcY\nkyzR6PQb6WwhDZtJiXn0KrKMhEask7ffNqOqa7Q2yLLUz9rMELCyLKEqErlJZjLtJira3PhDOuk2\nE/5geMCclWgLRORHIUVWz6mSRIbdNJwfpWA/Z6cd3gsWLODNN9/k3HPPxWKx0NHRgcPh4JJLLuGd\nd97hoosu+taT2LZtG9nZ2Vx//fWcffbZXHjhhYTDYZqamsjP78sbz8vLo6Wl5Vs/n0AgEAgEBxPu\nQJj1jU7WNjiHHKfpOv6gxqmnnY6iGjUyadxJkWiIPqJV22kjU/m/+eMoybAlPJ/d4WDchImkpxoC\nWpUNkdrpCWJVFZQ4b96+9oeolVl0YVvUnxepr/9XinxF+3f7vHwlDstJYmK+kV6X6TAPmJcqG1Vi\nOWqPBqRZVfKSBo4VHJgMK9qkqKiIK664YrdNIhQKsXz5cp5++mkmTZrE+++/z2WXXUZJSUncJ1Vd\n15Hl4a/K3JfEcmdn596ewl5FXL+4/oMZcf3i+vc2db0BvurwGxHBwV6yBqlydnpD1HX4SbWoPPLS\nO6xduYI3zFNpcPe1P/xkXBpnH5rad5DPSYcv8fO63W5qK76gxKHR1QVeVcKiynR6wthMEu6wjk+R\nCJhkAiaZHr+GL2zYqvlVmZBFptev4Q1phDQdvyoRMitYFIkuXxhf2KgKF2Zb8XS58e5C60IWOg3d\nXtBBtyj4ZDN+SaJ32GcYHvvC739vsreuPzc3d8j9+0S2X05ODmPGjGHSpEkAlJeXc8MNNyDLMq2t\nrbFxra2t5OXlDfu8O7v4Pc2+Np89jbh+cf0HM+L6xfXvTbYHeji0UCKs6dT6QpRlpWNSBhaUAj0+\nRqoBAl4PLR43h8/8IQ+/UxvbL0tw9qRCMofRJuBxu/n1grOp27aVp8vKuOXJl8lIScFmkkkN6fjD\nGoGQhsUkk2RSSLYomLyhmK+w1SSTYTVh9gXxBMKENB2rSWF0uhWHWcEdCFPV4QWgqCDlG/XtZufo\ntLkC5KdYdj74W7C3f/97m33x+vcJk7vp06dTX1/Ppk1G7veaNWuQJImFCxfy+uuv4/F4CAQCvPzy\ny5SXl+/l2QoEAoFAsP9Q3enBHdBQZaP6mm03saKmm2A4PsDCFQjzdbuHgMfN5fPP4OfnnsX1D/0z\nbszRhSnDEr8ANVWV1G3bCkBlZSW1W782+mwjgRVgtC6g9/XiqrJEqlVFVSSjPUKK9CxHHR4kSLWq\n2ExGu0NxupUpI5K/8aI1VZZ2u/gV7JvsExXg7OxsHnzwQW666Sa8Xi9ms5n777+fqVOnUllZydy5\ncwkGg5x88sn84Ac/2NvTFQgEAoFgn0TXdbZ3+yhON3pyw5pOTZePJHOfC4IqSySZFNo9QTLtJpqd\nfvKSLdR2eXGYFLZWfk1tdRUoKq6CSXHnP60sc9hzKS4tY1RJKdurqygrK2PUmLJYj29/u7NoP69J\nkUm3SYxItdLuDmBWDJs0WQrH+oAtiozaL544L1mIV8E3Y9gC+NVXX2XOnDmYzfEN4h6Ph5deeokF\nCxZ8q4kceeSRvPjiiwO2X3755Vx++eXf6twCgUAgEBzoaLpOY6+f6k4vXd4gBSkWenxhrKqMeYd2\nB4sqs6nZhSLLhDSdynYvVlUmyayQkpaOoqiEx54Itj73hxSLwrEjB3eD2JHmgMzTr75FS8V6jjvu\nODZ0hJAiC9bkaERxZBFcutVEht0US1/Liixc0wihSKGY48OEPBFPLPhuGFIAd3R04PEYOeDXXXcd\nJSUlpKenx43ZsmULd95557cWwAKBQCAQCL45q+p66fQESbOq9PrDNNY7CWs6+cmJnQ3SrCrBsE5Q\nhh5fiCy7CY/bzaIL5hHWdTg+3uO/fEzGACE9FBZFpiQ3jTzLJJKSkpA7e+IqwLoEcsTuITfZHEtn\n60+qRSE5y876Rie6NrgPsUCwqwwpgNeuXctVV10V662ZP38+0OcjqOvGH+MPf/jD3TxNgUAgEAgE\ngxEMawRDGiOSzbH37BSzgg4JhSUYLQfRfIhUiyEHKjZtoK2lCaadD46+gpcqS8ybkDPs+fjDGlkO\nE8kWFU9kmxLp4ZUhlvpmViWy7YnFL0S8gCWYXJBMk9M/7OcXCHbGkAJ41qxZLFu2DE3TKC8v58UX\nXyQjIyO2X5Ik7HY7aWlpu32iAoFAIBAIEtPhCWKLxAtHkSL+trtMai5MjS9snX5oJnmDVJKj+MMa\nTr8ROpHjMDMiNX78lBHJbO8y/NLkSBrc5PzhLWBTZInCVOuuXIVAMCQ77QEuKCgAoKKiAgBN02ho\naCA/Px9N0wb0BAsEAoFAINi9eIJhNE0nyaKi6TotriAm+Zs5IfRn7PhJmGZdSVDpc3qwyjoXTBna\ngtQX0vAGNQ7LsZObZDH6fHcQtqosMSbTRrPTT0jX+yW5CQR7nmE384RCIf7yl78wadIkZs2aRVNT\nE9dccw1XX311rE9YIBAIBALBt0PXdVbX9aLpA3tedV2nvsfHx9u6WVXXizcYprLNTUOv7zsRk191\neAkWTozbdsn3ckm3DW19lmZTmVGSxogUayxhbTAcZoWCZAvZInJYsBcZtgC+9957+eSTT3j88cex\nWAzbkQULFrB582b+/Oc/77YJCgQCgUBwsOANGoEPHZ4Ara7AgP09/hBfNLnJtJswKRLLt3XT4Q1R\n8B3ZgT2+qibucbZZ44cTCoY8xhMM4wtqwxbgyRYVh1mheJD4ZIFgTzBsAfzvf/+bG2+8kSOPPDK2\nberUqdx222289957u2VyAoFAIBAcDNR2+QhrOp/V9fJpXQ/+kMa2Lm/cGF9Io7rTR36yCVWWSDEr\nZNlNKN9B6wPAV01dbOxV4rb98tjCAedvdAZw+kOxx96QRmmW/TuZg0Cwpxi2AO7q6iIzc6ABts1m\nw+cbJARcIBAc9LhcLjZs2IDL5drbUxEI9kl0Xaemx8sHW7sI6zoOVWF0ug1Fklm5vZtQxP6rwx2k\nttsbq7RKkoQqS1h3Yk2m6zpLK9qZ+b/ruevjWjzBcMJxL6ytiXuca9GYXjrQ+cGsSCiKTIsrQLsn\nSHGaNS5oQyDYHxi2AD722GP5xz/+EbM+A3A6nfz1r3/lmGOO2S2TEwgE+zcul4uZM2cyb948Zs6c\nKUSw4IDH5XKxdu3aAX/ruq4n7OkFw8HBJEtk2FQybH0VXbMi4QporNzeTbPTT48/yKhddELQdZ3b\nlm/nrk/q0HRY+lUHC17cTI8vFDfOGwyzujNeEsybmDegraHbFyLdpnJMUQonjUmnON2K3STEr2D/\nY9gCePHixXz11Vcce+yx+P1+fvaznzF9+nSampq44YYbduccBQLBfkpFRQWVlZUAVFZWsn79+r08\nI4Fg9xH9wFdeXj7gA19Nt49Pa3vp9gbjjunyBvmq3YNNVeIifqNk2VW8QY21DU4anYFdXuj22pZ2\n3qvqitvW4Qlx8csVhPsFSyyr7sYd1GKPU8wyZ4zLjzsurOkUpJiZXJCMLEmYFZnSTDv5KSKOWLD/\nMewo5NzcXP71r3/x6aefUl1dTSgUYvTo0Rx//PHI8vCTYQQCwcHD2LFjKS0tpaqqCoArr7ySTz75\nhKQkEWcqOPBI9IHvhBNOIKzpNPf6kYBPt7aQ7Wtm7NixJCUlUd3pxTFEBVWWJHKTDLvR0C4mobkC\nYR7/b1PCfe2eIM9vbOEnk/LQdZ1/bWyO269vfJewvxRUR2xbIKyR47AN6fAgEOwvDFu5fvHFF4DR\nCvGTn/yEhQsXMn36dHp7e/n973+/2yYoEAj2X5KSkvjDH/4Qe1xTU8PKlSv34owEgt3H2LFjKSkp\niT1etGgRLpeLbT0BevwhCPj43YLvU15ezvQZJ9Hc2U0g1Fd19bjdbN6wHo/bnfD8iSrE/WlxBXhu\nQwv3/KeOdneQZ9c30+tP3O8L8I81TVS0eVhV18u27n6OE1oY58fPU1NVGTc+pINFFQUvwYHBsP+S\nFy5cyKpVq+K2LVmyhFmzZrF27drvfGICgeDAoL6+Pu7xunXr9tJM9i8G6yUV7NsEAn1CsqqqioqK\nCkKaTooU4sO336Bu21YAqqu+ZtnqLyCS1eZxu7ls7hx+fu5ZXDZ3zqAieDDWNvQy//kveWRNI69t\naedHz23i+Y2tcWOmF6exo4a+/LWvuO7d6viNWz+D3lZS0vqikP1hjVFpFmyi31dwgDBsAXzttddy\nxRVX8P777/PlS9Iu9QAAIABJREFUl18yd+5c/vznP3PxxRfzxhtv7M45CgSC/ZjS0tK4x3fddRct\nLS17aTb7B9XV1UyePJny8nJmzJghRPB+QkVFRdwHvpEjRzJ27Fi6elxcPv8M7vzDNagmI/yhoHgM\nBaNLsaoSHW2tPHbvHdTXGEK0vqaaik0bhv28Tn+IWz/cPuSYdJvKdSeO5IqjRwx9Mi0Ma/4FwIa1\nfUWvkKYzIkVEEQsOHIbdAzx//nyysrK45pprCAQCnH766Tz44IPk5Ay0SBEIBIIo06ZNIyMjg87O\nTsBIlXz33XdZsGDBXp7ZnmVbp4dUq0qGfej4+OrqaqZOnYqmGbfGq6qqYr2kgn2bsWPHUlZWRmVl\nJSNGjOCuu+7CGwhRU72V2mqjDz4UDHLNn+7kpNPOxO5w0NHWyryTjyYcindl8O+CvegLG1vp2sHV\nYUcunJKPzaTwo3HZfNni5qNt3YkHfvYiNH+NoqgcM31mbLMiSd+Z37BAsC8wZAW4rq4u7qusrIzF\nixcjyzKHHHIIfr8/tk8gEAgG47rrrot7PG3atL00k71HQ6+fz+qdA1wA+uNyuZg1a1ZM/EbRB7HP\nEuxbJCUl8cYbb3DXXXdhMpmYN28e5SfPpKCggMJiozc4KzePjKzs2DGrViwbIH4B7rjhauq31+z0\nOXt9IV7+sm3IMUWpFs4ca/j4S5LE9TNGkWYdWP9Sna3w6fOkZ2bx1NIPycw2Clz+sEbRLtqvCQT7\nOkNWgE855ZSY5Yqu63Hf33XXXdx9992x7Vu2bNn9sxUIBPsVUVuo6Mr4KJ2dnXGLhQ50dF3HrChI\naHR5Q6TZTAP2h3XjFnpbW7yYycvLY8qUKXtyuoJviMvl4vTTT4+5ngBs31bNtq+3EIz0Bre3NHPd\nFRdQVFzCIy++yaHjJiY8V1dHOwvPOIkly1bHhCgYVmQvbmrl8yYXCyfn8dG2bjz97MtSrSp/mDGK\n3769lVSrynkTc/jR+BwkScLjdlNTVUlxaRmvnj+BD7Z28qcPt2NVZS6dnEWx14t03HOMHT8Ju8Nw\nf9B0nVDE/kwgOJAYUgB/8MEHse+7urpIT08fYrRAIBDE098WKorZbKaoqGgvzWjv8HVXgLDFQm6S\n2XAD2IFef4iv270UjChEluW4CvB9990nbOP2E9atWxcnfqNUfLGBlsb4xaB1NdVsWLuaG668OH6w\nJMOhx0M4RLhqFSvee4sfnrcQgFZXgItfqcAZcXZYVdc74LnmT8hhamEKH10yOW57/fYafvmTH9Ld\n2c6IkcX846W3OXlMBiePycDjdnP5/DOora5iZEkpD7+wNHZcpzfE0UUpu+w/LBDs6wwpgEeM6GuW\nP++883jooYcYN27cbp+UQCA4MOjfExklEAhQWVlJbm5ubFtYM6pMZkU64N5oPcEwLe4gpanGy63L\nH6bJ6Sc/2YLL5WLjl5vJHDmGHr/Euk2b48RvVnY2kyZN2ltTF+wiXq834fZ3XnthwLaklBS2frW5\nX/uDBHP/BEXxFeHGZMMNIpro5hzC1izbYeIHh2cN2N7R1sqC009Ej/xtNdTWsGHtao490ejxramq\njPUo11ZXUVNVyeGTJuMPa1hVWcQcCw5Ihu0CYbFY4uxdBAKBYGckJSWxbNkynn76aYpHj45tv+KK\nK+KcIHp8QT6r72XFtm6c/hCe4OBv8vsbwYiIiGJTZep7/HR293LijJOYPetUzp59Kjg7CXucqGpf\nXaK9rY3y8nLhmrEf4HK5Enrip6Zl4HE6B47v7eWFJx8xHhRPgd+8NkD8AiztSKaux8endb183jS0\nG8gvjylMGEu8asWymPiN8vlnK2NWa8WlZYwsMdxaRpaUUlxaBhgGbceNSj3gPpQKBLALLhAnnHAC\nF110EdOnT2fEiBFYLPHRh1ddddV3PjmBQLD/k5SUxPeOPIpf/uE2fnvRuYDhDXzKKaewcuVKwqqF\nFncQXzBMmlXlv/VOgprOcaNScXxHlaeWlhbeffddTj311LjK856grtuPud/qeUWWaHMF+PLzjWyt\n+hqA+pqt/PSMk3C7Bgqluro6pk+fzooVK/b43AXDp6KiImH7wyWLruX5x/9Ow/ZtA/Y5u7th1GQ4\n6/pBz+sNadz4QQ2BsDboGIDjR6UyvTg14b5jps9EkuU4EfzCE4/w6fIPePiFpdgdDu554gVWrVjG\nMdNnYnc48ATDHJJpF6lvggOWYQvgyspKxo8fT2dnZ8zOKIr4dCgQCIaixR1kZMkhKIpCOGxUd2tr\na/lswyZSiw+n0xMk22EsskmzyTT0+vm80cnINAuFqdZv9RqzadMmTjzxRMLhMLIs88QTT3DyySfv\nkb7asKbT6w8PsI9Kt6q0p+eiqGrsFngi8RulpaUl9oFhX+sHdrlcVFRUUFRURF1dXSzi92Cj7NBD\nGVE8hoaarXFi8283X8fv7n2S92t9fPWfd+hd+TLoESE6eip8//cgD/1Bb2vnwNaKv8wawyfbu3H6\nw4zLcTB3wuCWpDa7g8zsXNpb4mORa6urYn7D99x0HXU11bEeYJ9sJjtJLHwTHLgMWwA/88wzu3Me\nAoHgAMYf0mlvaoyJ3yhOyY7sD5Npj3dFGJFiIazpbG71kGYzkWwZ9ktVHC0tLZxwwgkxGzFN01i4\ncCGlpaV89NFH30ioabqOKxDGblIGRNNuanFF/FJhdLqNLm8QJUGjmVmR6NpWkdD+ajBqa2t59NFH\n6erq4sILL9wnXDQSuXwUFBTw4YcfHnTV6opunXufe53Wmq1sXL+Gv9/xJwDCKXncXp0KpMLRP4X0\nMfDvO0E1w6yrEovf126F7/0AChOvuTm6MIWji4yvneFxu/nw7TcGiF+AlLR0br/u17Q19+2rra5i\n69dfMXXq94Z34QLBfsouvats3LiRqqqq2JuYrusEAgG2bNnCLbfcslsmKBAI9n+cAY3i0jIysrLp\nbO+z+fr8s1V8f97ohMcosoTdJPNli5tjRia+tbszXn/99YQeut8mXGJLq4fGXj9pNpXxuY5YNGxF\nm5vG3gBJFhmnT2N7l58ksxzX/xtFkiTamxuGfB6r3Y7P44nbdvPNNwNw//3384+lH/GjaZP26h24\nRC4fjY2NzJgxgzVr1hw0lWB/SKPVHaAgJZmsSZPJLRjBo3ffZrxXnvLL+MFl08DVAc52sMf/XU/P\ngauOHcGiVzuofe8BWPA3UOPbDa2qzC+O2UmaW4T+7g6J8Hk99HZ3DdhuSU4Vvr+CA55hL4K77777\nmDt3LnfffTd/+MMfeOCBB7jpppu45ZZbcCZo8BcIBAIwPigHNR27w8F9z7yMElnkpZpMHH/SyUMe\nm2xRcfpDhLRvFgQxatSoQfddeeWVuxwxrOs6jb1+FEWisdfPmgYnwbBGs9NPjy9Ell3FrirkJplI\ntSrI0uCuFtNPmY2sJL71rSgKd/3j/2I/q0S8/fISOjzxoRrdviD1PX56fEGcTidr1679zmOUXS5X\n7LxFRUUJr6+pqYn169d/p8+7L9HhCeAO9FXvm5x+ch0mGmu384+/3YHX4+Hep1+CrFGJq7hTzoIT\nL4rbNG1UKjefNZnM7BzueeIFcm0SLL1zwKFXHlvIyLThidP+7g6JCPj9CbdXf7GGpG9410Ug2F8Y\ntgBesmQJN910E5988gn5+fk888wzrFy5kuOOOy7OLk0gEAj64w1pRIuwhaOKWfLBaq7505288P6q\nOIN/MCpWmzesj61OB8PYv83d50DT7Q2yudXFmvqBHqhgVON6I167kyZNIjMzM+G4mpoaKioqdula\nOjxBrCaJdIvCiBQLdlWmptvH9m4f/pAWt2DIrMhYElR/o2Rm5/CzqwcufkpKSeGRF99k/OTv8dQb\nH5KWkXj+P/jRj/my1U1Fq/Gz0nSdijYPVR0e3v28mqOOPoby8nJmzJjxnYngaMtDeXk506dP54EH\nHhg0pe5ATa/TdZ0vW9w09Bjisb7HR7MrQEt9LefPPoF/Pno/588+gc/XfAqlxwzrnDZV4ncnjIw9\nbmlsMHyDqz+DlxZDzX8Zk6KwaFoRpx+a+O8hEcWlZWTl5sdtk6Sh3/YVRWH+WXOG/RwCwf7KsAVw\nd3d37HbhYYcdxrp160hJSWHRokW8/fbbu22CAoFg/6bDHcCs9AnDzOwcTj/nxwnF76XnnMbPzz2L\nS885LSaCzYocJ4C9IY2aLh+eQJiarr7FQbqu0+kJ8sHWTj6t7aGju5fTTz+djo4OZHngS11xcTFj\nx44d9nXous4XzS4cJgVJklBl42t7l49QWCflG1TMyk//AarJ6H+WFYXsvHxcvb3c/Ntf4HG7aW1u\npLuzY8BxuQWFZGbnkGpR2drpJaTpdHT38p9PPyPs7OTahT+gqdFosaiqqmLdunW7PLdE9G95qK6u\n5v777084TlEUCgsLv5Pn3Nf4usNDhydIpzfExiYXG5pc9HpDvPXKkrhxHe1tcMixwzrnvMMzSO0X\nTVxcWkZ6ZsTPd/t6ePkmOu+/gFNG2nZprl6Pm2Agvsp7670P8+vfXZdwfFJKKs+/vZzRRaKoJTjw\nGbYAzsvLo66uDoAxY8awefNmABwOB11dA3uIBPG43e7dcjtSINiX0XWdFndwgAtCIjasXUVDbQ0Q\nNepfFdvnDoSp7vTQ7PTj9IXJdZixmGR6fSG+aHLR2Ouj3RNkZW0PBckWMm0m/rn0g5gtlaZpnDZ/\nYdzz3X///bvUo9riCmA3KQNsobLspp3atW3vCfBGRTtrG+Kr1pnZObzw/iqu+dOd3PrA/8YWI0XD\nCAadS2N9bH+6zcTHlU3MmDGDP102l4vPnkXHDgueXB4vXzS7WFXbQ5c3mOiUw8JqtSb8MAFw7bXX\nxr4Ph8PMmjXrgPMv9gTDbOv0UZRqxarKhHWddJtKTpKZ2T+cFzf2hLN/Ctn9FirqGjRuGXjSjjoy\na1fG3fWwOxxcdUP8upqujrYh/yZic3S5WLN2Lc0tzVz+4zPp6Yp3bZo+5XBeXfJcwmMtVhuHjRbi\nV3BwMOySxbx581i0aBG333475eXlLFy4kMzMTFatWrVLVZQDlYZeH5oO+ckWOj0BcpL6Fi64XC7O\nPvtsampqvtXqc4Fgf8MVCBMIDe9WeHNDfFRs7batHHui0SNslmW+aHaRZlUxKzJ2k4KChDsYptsX\nptkVQJYgVQ6ybvV/8ft83HPT/8Sdb9r0k9j82X+o3VZFSekhTJ4cHxU7FE29fja3uUm37nqVd2lF\nO3d90idIx+c6uP+MQ2K9s9GKuMftZmRJaSyONhpGkF84kqb62rhzZmTlxPZbFIlNmzbEfGa7O9oH\nzKHGGcbiCmJW4b8NTspLM3b5OlpaWpgxY0ZcUl1/Wltb42zu2tramDlzJqtXr97l59pX6fSEcAXC\n5PazB4sGTxSOKubZtz7mrVeWMPuH81jZawf6PvCorVXc++Nj+NuXAb7u6LtzobxzD39truJfTz4S\n8+QFOOr4GXG/+6LiktjvfDA8bjeXzjuDhpqt2OxJeD0DCy7PPPMMNTU1CY/vaG2muWYrhVlTh/Xz\nEAj2Z4b9an7ZZZeRl5eHzWZj4sSJXH/99Tz//POkpaVx66237s457hdomuHVWN3hxaTIcQJ43bp1\nsRecqqoqPvjgA04++WQqKioOWs9MwcFBuzuIRZFIHBAbz/RTZnP/7YvRIgLq9eef4cy5P8HucKDI\nEiNTrQOqrzZVQbFJ9PjDBL1ufr3g+9TXVA84tyzLjC4Zw8NLlrKt6ivKDh3+v7uQplPZ7sFuknc5\nFMATDPPImsa4bZta3Hxa18sRmSo1VZUUl5ZhdziwOxw8/MLSuG0Av/r9zVx3xQWx4yVJ5le/vzn2\nWJElwsHEi5kAMnPyKB03kUy78XLvCwbo8ATItO+ax+u7775LaAjbtjfffHOAzV1DQwPr16+nrKyM\nkKYPsI3b33D6Q4xMtSTc19HWyoa1qzj7JxeQmZ3Dx2/EV2vPP/lIxpWV8ECJxmf1vdS2dlL/9pO8\n1TwwghiMKvAD/3yFFe+9Rd6IQiZNPSb2NzEYWzZ+TkPNVoCE4tdkMpGXlzfo8cUlY0RBS3DQsEvl\njLPOOiv2/dy5c5k7d+53PqH9FUmSYnnpgbBGTaeX4gyjX2vH+teFF15Ifn4+DQ0NlJWVsWzZMiGC\nBQcMUdcHVZbo8g1sf/C43Xz2yXK2fLGOM+edT+GoYgC8Hg92hwNXr1E1a6itiRMEg4lPsyKTbZfZ\n/PW2hOIXjBaIqy8+lydee59xk6bgDobp8YXi+i4T4fSH2NrhRUPHNoQjw2C8XdmJ0z8w1nnJhmYe\n+vtl1NdUk1FyODkX/ZWKzn5R82sqKUg288gPDsVije/7TM/I4MZFl1MwspjHXnobu8OB3+cbdA5X\nXncTOWl9dlvpNhMVrR6mFe+aAD711FNRVXVQEdzc3ExeXh7Nzc1x2y+88EKe/ec/qfSYyU22UJZl\n36Xn3VfQdB2nP4Q5gbFzR1sr88uPIRQMoppMPLL0P2xqcceNefevv2XeE89gdzj4XraJBy9bQHO/\nyn5B0ai4Cm/99hp+teAcOttbY+EU0eeKJrb176P3uN3cuTj+rkd/5s6dG7Mrve222wgGgyiKwtW/\nu46MEaMozM1kxrFHifciwUHDkK/o995777BPJKKQDVRZQkKm0emPCeBDxk0gKTUNV083YLwZNzQY\nC1QqKyupqKhg6lRxy0lwYLCqrtf40KfryJKEVTWEqz+k0d3r4qofz4698b/wxCM8+9bH+LweLv3R\n7Lio1tyCwp3e8u1PbsGIAXGv/Yn2zR4+aTIWRWZjs4vji9MGPV+rK8AXzS58IY3ClMRVv53x+paB\n7QgAn7d4wK1D9mg6T72Wzv7iN0KjM8CZz2zk8dNG9yXGSRKdkRaHxtoaPvtkOROmTOWem38/6Bws\n1njLLFWWCEjsckU2NzeXjz76iOnTpw/aBnHfffcB8Pbbb/P4448D0N7ezpzZs3n4tWX480dySKZt\nv0wPdflDBDWdRO3eK957i1DQ6K0OBYO88PHn6PSrtLZW07hpTezvr6aqMk78AhxfflqswtvR1srC\nM2b0pSZGqsO5BSPihHZ/J5WKjZ/TXLd90Plfd911sXCSTZs2xUWD67q+X/5OBIJvw5AC+O9//zuy\nLHPYYYfhcDgGtbUR/3DiUWQJwvBli4vDchyEFSvnXfYrHr3z5gFjR44cKW45CQ4IwppOuydIty+I\nN6iR6zBjNcmENJ2H/tvBB9sjb86n3wKPXhCLg73/xbdZrYyBX78aO5f5i39z93WX7PSWb3+2V1cN\nKn6BuL5aVZZwBcI09vopSCBuu31Btnf7cJjkb9T3C7Cty0tN9+CVWU69ElLzwDp0xe32/zT3Jcbt\n8Br8lxuuxmF30NM10CkiykN/uYlJU4+O+1nqQE2Xl9LMXavGbmroHFT8lpSUcNxxxwHw9ddfx+3T\nNI1rL5zHw68vo83tiGsR2x/QdZ2qTh/WHaq/Hrebik0bWPLko7FtitlGW9Io8PRrS/n607i/v+LS\nMvIKR8aJ4LPmnR/7fsV7b8W1k9jtSaSkpQ8Q2k88eA8zZ5/JqJJSbr3+6iGvobOzM5YemJuby4IF\nC2L7xHu44GBkyFf2xYsX88EHH7B+/XqOPPJITj75ZE4++WQyMnZ9AcXBhlmRaXIGcPrD+LxuXnzi\noQFjCgoKeO+998QtJ8EBQZs7wFftHvIc5rjq4rOfN/PB9n79iI40OPZcWPlPmHUVq9OOHnCuwMTT\nOf/fTZw7MczPjvp2q9KzcvO4/s/3Mnb8JOwOBx632+izHXMIDYMI4BZnkF5faEBE867wUXX30ANy\nS4d1nq+dkDl9Hh0rlpCVk0d7a1+Lgdftwuse2lmmrqY6rpUEwKLItHuClA7fUhYAR/5osnMLaGvp\n62u+9dZbmTBhAlOmTCEY1ph50klsq9464NjO9lbat1dTl5pCtsO8X4kuf9gIQOl/JyA+ZU2C486D\nY35MGFjfGt+TfdVPzmLWsTfFPoTYHQ4ef+XdhK1AAOmZ2XHHezwufnrGDH75PzfGbV+65FmWLnmW\nzJx8OloHRh1H2VXLP4HgYGBIG7Rzzz2Xxx57jOXLl3PWWWexatUqZs+ezfnnn8+TTz5JfX39UIcf\n1KiRGNdAWKPqyy/oah94K1SWZRy7UOESCPZlurwhUi0qkiRhUmQkSSKk6by2OUEbwFHnwG9eh3FD\nJ8E990Urnw0SeLEjY8dPoqi4JG6boij87ckXmXL0cTHxe/n8M/j5uWdx+Y/PxOlyEd4hZU7XdWq7\nfd9I/Nb3+GI2Y8u37SCA33sAOod+zSzNTOzzmjf7Uh567nUeefHfpKTtWgEit6CQ3IL4DxGqLIG+\na2EVrS4/2WnJPLzkDbLzCoxzF44iu/hQxk86Ardu4pWP1yUUv2Ak/+UWjKCxN4A7OHilfl+kyxsk\n0xZfL4pLWfve9+GYHyc8tjDFwgmTxw24m2F3OJgxaw5XXHNDnPgFsCenDDiPFg5z321/TPgcHa1N\nZGVlxW0rKCjgZz/7GU899RSffPKJKLQIBDswrHt7SUlJzJkzhzlz5hAKhfj0009ZtmwZCxYsIC0t\njfLycn7xi1/s7rnudyiyjCrrgy7eqa+vF/2/gv2eYFijzR3E6Q/HAi+iVdYaKYMuX4JFU/Lw2wr+\n9p86Hj/nMKxDpKqBISj+9tSLXHrOaXS2twGGH21vdxdEBEZ/0VJbXUVdVSX/sdg4qiiVQChMitXE\n2gYnJmXw6mR9j4/abj8T85NiC1+/bHVzx4patg/W8qCF4etPIRyC0349YPecskyuOaEvVnhbl5cL\nX+pLqfuyzYtp2qFkZtn56+PPccn8H0DQx8Altn1k5eQhKzItjfUsunB+nMUWGIu6tnX5KMkYPFyh\n3R1AAqq7fHR7Q6RYFTKzc3jqjWVUbNrAX2+6jst+8iNGji7ljmde5dCyQ0nNyKQnQXhHKBikpbGB\nsgnZdHgCJJl3LdRhb1HfY3hM7/j3V1xaZtjWdfth2vmDHA0XT81Hkob3QcMZCBEM64weN5GCUaNp\njFjb9TH4ecxmY1Fjamoqd9xxB6effroQvQLBEAw7CCOKqqpMmzaNOXPmMGvWLGpra3nsscd2x9z2\neyyKhFmRGTt+EvlFowBIz8xElo03TbPZTFFR0d6cokDwjdB0nbpuH5taXFR3evm8yUkgbFT1PG43\nP5s7h5+fexZ3Pvv6t36uRmeAR97fEBcUMBgtjQ0x8QsDF9IVl5ZRGKkSFxaXcMihY5Ek2NRiJHq1\nuvzU9fhItQxc6RQMa/zmza85/8UtXP9eNWc8/QXvV3Wyuq6XX7xeObj4BahZBz4nbF4GVaviduUn\nm/n1tMK4loDR6TYm58eLl3992caKbd1c8okfrnwBFr0CxVPixkRvnecWFHL1TX+mtcloVUgUrGE3\nKfhCg1die/0hPqvv5b8NTnp9IRRFwhLpgbU7HFittpjrRu22KjrrqnEkJXH3Y/+X8HzRHlhVlujx\nDnTG6HAH0Pax+GRN19nS6qbbGxrQshG1rctfeBuoiR015k/I4aSS9GE9lz+kEdYg2aIy89ACVn+y\ngv/71ys4UlJ3eqwsyzQ2Gr/rnp4exowZI8SvQLAThl2GcblcrFixgg8//JAVK1agqiozZszgjjvu\n4Pjjj9+dc9zvsTsc3Pm/z9PaUMvt1/4aTTNe/AOBAHV1dbGVuQLB/oCm66xrdNLqDGJWJcKaTqbN\nhCVSIavYtIG6mmpAQi+aGHdsuk2ly5ugIvzmXVCxAoDs3HyKfv0469r6Este+bKFtQ/8hkd2qGLu\nSG7BCHILCmlprCe3oJCHnnttwPjoQrno/5PNKi2uAEFN56s2LyXpiSuTD65qYF1jfL/tLR8Nvuo+\njjUvIcsymqZR9OW/OO+nP+TzNj+pFoXLjx6R8C7R3PE5rG/qe753vu7kna/7pXpJMpx9I/z7Lvhq\nBZT/nK6JpwHQAtiLclBNpphjwI5tEAA9viDNTj95yfF90LpueB97ghqlg1SIYxXQHYI7Av74/tfs\nvAJ+cd3NHHXc8bHfRbcviMsfwmZScAVCdHhCNDn9WFWZw3MchDWdpG8QLf1d0+kJkmRRsKl9H4g8\nwTBbO7wUp1tZva2DJileoM49LJ2JI9IYm20n2zE8q7lAWMMZCHNUYTI2k4IiSyQnJzOn/CTuuvuv\nXHHpxUMer2lazKJOFFYEguEx5CtMfX09H374IcuWLWPt2rWMGDGCmTNn8tBDDzFlypT9ahHD3sTj\ndlO3rQo0jbZ+EaWKoooXKsF+x7ZOL12eENkOlYCm4w/pMfEL9HnSFowFW18vY5JJ5qlzDuPmD2tY\n2+DsO+HLN0LNOrJy87j6xj9TdvgEfnnpQjhtMagRYZaaS10oiS1fVfJ8SzJrIsf/fLSf0iSNseMn\n0e4JculjH+E/+mKsBLj/V+fE+aSCIc77xy1XbNrAlKOPIzfJTP32Gp5Z8iyHT5zMUcfPiBPONV1e\nXh3E0mynVK2Ghs1oQE5+AX97/Dkys3OYvZPDjhmZwogUCw29g4dcAHDihTDqCBhfHrd58cethFCA\nYKz9YMefh01VqOv2YTUpJJkVVFlC03U2tbjo8ATJTxpcwA0W3NFfGEc/hKCocT9Ph0mhrsePpuu0\nuAKoikyPNwTodHiCSEik2VQm5iXF/W3taZqdgTjxu7K2h+vfTew1DZAX7uLnxx2R8L2xNxDGEwiT\n6zDF7XcHw/T6wxxTlEKKdWDf+ZmzZ3FL0SgahrA4A2L+zKKwIhAMjyEF8CmnnIKqqhx55JFce+21\nMQuVQCDAqlXxt/GOPfbY3TfL/Zj+K4Wz8wvi9oXDITZu3sLmLRUossSUKVPEbSvBPk1Y06np9mEz\ny5gUGZMCjn7v2R63mwf/cpPxoDg+anh8hkKKVeWu2aUs3dTE3+/5C+41SyFkCLyrb/wLx544k3Wr\nV9JUuQlJ1MI4AAAgAElEQVRKV8PY6bHjzSddxN+3Wajq6hPPD22zwFt/JUvy0H7aDZB9CGSDD/jp\nm40sXZiDKkvU9fi47p1qnB4rFBwGjVvi5vzBm69z9+Lfxbbl5I/gydc/iIm2J9bFhzsMhs0kk2Ez\nxYvWD/ocYFqbGhMK0UTIksQ547K579OdLDZOyhwgfgG6g+D4/m9x/+uWuArtjjQ6A3T7woxOt1KS\naWNdg5NmV2CA48GGtaup3VbFyNFjYqlkdocjzl0CEgvjjs7OuDGKLNHY68cb0sh2mLAoMilmJbYo\nL6TptLuDVLZ7mJC3d14Tt3V66fAGSY1Uojs8QW75sGbIY5zvPIz3/KMT3qVIMsmMz7GzvslFpq3v\nH42uwyGZNtJtiRddJiUl8fcH748LohqKkpIS4fggEAyDIQWwrusEg0FWrlzJypUrBx0nSRJbtmwZ\ndP/BTP9FN21NjWTl5tHeYryZZmblcOmll9IV6VkcM6aU5cs/EiJYsM/iD2t4g+G4N/D+1FRV9qWx\nFU2K27f66bvpOOYvZGbncESyH/enL8Xtf+D2xZQdPp67omlW69+IE8CBzGKquhJUQ2f/hvaAZ8Bm\nXxj+d20jh2U7WPzBtsjyIQl+/Bd47VZyPHXk5BVw4ffLaWmMF5mtTQ1sWLuaY0+cSYsrwMc18Y4O\nZkUiEB7Yr/rSueOxmxW2d/lwBkKMdsDPXk6n3t0FGO0diVoRBmN2WQZPrmuiN0Ga3HBwjzyKn9z3\nOi/UwpznjB7g/5k+ktllff5nI1MtNLsCfN3pJRSpyO4ofi855zQaI5VzMFLLHnv5nUHbURIJ4x3J\ntJsIa3pcUmC0MmpSJPKTzbG+8u+KsKZT3+Nj1CBtLlF0XTcs/SIVcI/bze3vVOIJDnHQlx/grvh0\ngOUcQCCsk+UwkWE3k2xW6PWHSLGohDQdqyrv1I95ypQplJWVUVlZyYgRI2JBSom4+OKLxXuIQDAM\nhry3VFFRMayvg138eoNhTv7fdZQ//jmznvic1zb3LcKJ3g5EkikaU8YjS/7N7X9/ioysLDraW2Pi\nF2Dr1irWbNi0Ny5BIBgWXZ4QuUP0NcYWmZltkB9fcdS3r2PVimUAvPXKkgHHNtTWsGrFsj6h1fSV\n8TUczIkFxHNftPLHmPjtx/d/T2tA5aqf/miA+I1SsfFz/v3S8zz8n230d0oblWblnQsm8afy0bFt\nJ4xK5Y0FEyDoY/OG9WSbw4zPTUKSJH7xP4vJiFhUtbU08euFc4e1oA/AZlJ44MwyDs/pu76TStJ4\na+FE8pOH11/6zxrov9btzo9rWdPPWk6SJHIcZjJsKjVdvgGVyJqqyjjxC9BYt52KTRuG9fxDsWNM\n9o4EwjrNzp20gAyT+h4fdT0+NrW4B1jf7YjTHyIlshDS43Zz0cLzWdsxhBjfuhree4Ci4pKElfag\npsX6rAtTregYFWV/SGNk2s5DQZKSkli2bBnvv/8+y5Yto7CwcNCxQ+0TCAR97P1VBgcAOvB/88ez\n6N+VfNHs5p6V9aTaVGaMTsfucHDKjU/z1IY26nWJu9c7OdUEnQl8gQHaNCsNPT5GpFoT7hcI9hae\nQIiGXh9mZfDPzV6PG5/XAyOPALmfk0JHHarfyTHTZwIw+4fz+Oej98cdO2JkMZOmHoOsKGjRFKxP\nnoFzboo/1/+zd97hUZVpH77P9MxMepn0hCSEAEGkKNhQEbAC6qqIrr27urqoa1nr2hX1c3Gxd4W1\nYkMUEREFBZEiCCGEkN57ppcz3x+TzMzJzISgAQHPfV1cF/Oe95w5ZzLlOc/7PL/fYDHhHFo/nxtx\n85vPPY147OUwZphk/OziZARB4JjcOFZcHsj0BZc7ZecV8NB/X2XOpbP8Sgy9VFeU8+l7C5hy6kwa\n62ol9bPhyI7TMX/GMBxuEaVC8BuM3HFsDjcvKcMRlIm+ZGwqGTHafpvzRC/ctWwX780eSXTP8r5S\nIaBE8Gc8g9mTjPVgE6VSUNcV2qTXH2anhyazgxitiqSemzWnR6Sq00Gb1UVClBqz001smHrbXspa\nbeCwsXXrDjo72mmIK/Q1HQYRu+plOtMOgdpt8NMH3HDn/Zw486ywf8sYjdL/uUmP0VLeZkOnVZJq\nVA/YFc9oNPolM7/++mumTp1KVVUVSqVS4honG1XJyAyMP6674CCi0+7m+k99wW8vc7+rpsXiYm1N\nFy9vbMHtFfACq6u6eGlX5PuODT98R4vVTae9v7U2GZl9T6PFRX+JM6vFwlWzz6Cl0wKHnyXZNkTr\n4J1lP/prXzNzcrn3qeckc26671G6OtoDwS9A9S/w7auSeYqWCph/HjRFaEb69pWBXdDQIyEmBSI0\n84onzYExp0nGVF31HJMe/ua0r8bw386fGRL89vLsY//mnBMm+Aw5Zp02oIywVqXwB78Ao1KNLJg1\nkhlFScTrVDx6Yj4XjU3jhPx4ThrafxBkd4ss3h7ZPjmYyl6zBwB1FOQciiFtCEXFoyPvFMSmejO3\nfVPP2Qu38PfPSul2hFEB6QeHW8TqlO7T7XCHzeJaXR5+rOpkV7udbU2B17TV6sLm8pBq1BClEvix\nqouuCN+xDrdIW1c3V5873Sfld/etMPx4yZzZOfDKY3eT/ctC+Ol9svPyIwa/otcboiGcYtQwKtWw\n21KMSJhMJlavXs28efMkwa9SqaSwMHytt4yMjBQ5AP6d2FweTn5tE1ubpD9gZqeHZ9fW8kyYBpYa\nMRpFypCQcQBTcgrdDjcN3c69cr4yMr8Vpzv0hzyYN1aX0nLuM3Dt25A6VLLt4injQxq/Dj/6OF95\nED6N2KLi0RKdXj8bPoGPHoBNS+DbVxAX3AJ2M3z6CLj7BDELboKfP2JSfKgm7+Xj06RlA0qVL1AP\n0p5Ny8zGEBMDJ8+R1B8D4BVxL36S2l07wl5/TFw8SpXv5lahVNLZp/HrqCknSR57err2w2n0DpRE\nvZo5R2ex6K+jmJDlU9wQBIEbj8oiTWnrd9/Pt7fume7ukHE+/eG//BvL7Kc57X+lu63RbbO6uO3L\nnexod9JscfFLg4UbF5ftkQOdVqVgc6PFf65ddl9iYWuTheog7eVOu4sWsxOVUiAxSk2z1UVdlwOz\nw01lu43EKDUqhYAgCMRHqdhYH/6mo67LQf2uMv/NTJs2EWIDigpKRM4cn0+U3sCNdz3Ik6++E2Iy\nEozd7SVZL13BGJoYhV79+1Y1jEYjRx11lGTM4/FQXV39u44rI/NnQS6B+J1EqZV8cN4o7vm6nM9K\npBmVr3e2R9xv8t8fZtmdodaZWp0Oo0aJw+2lvNVGRqz2D5UBkpEBX1NQp93td3rry4/Vnfwvwqq7\nSWFlZFp2yHgkGa1Hnn2d6/96Bu2tQWVC5Wt9/4LpbID//AXShvlqjutKwGVHqVJxw6R8Mna5WPhL\nEykGNReOSeW0oiQS9WoeXVkVOMbw42Hlq+D0BYvnXHwlT7+3FIYfF3ohJSvJ0rrC1nhaLRZuumy2\nP6iVZLGBhKQUJk87hVXLvgjZtz+Fht+KTqXg6VPzmXXZtXj18VC1ETwuFFe+iojvb1jV6eDn2m4O\nywy13Q2mqHg0qSMPp+HEOyXjohee+L6a24/NibjvGz/XYOtjtrGzzcavTRaKTQNr1FIIAm6Pl4p2\nO+1d3azZuIWiYcNoEQTqux1Ea5XERanZWG/G5fGS0GNZPCROx081XagVAql96qU1SgUujwe36JVk\n1bc1W2hq66S1MUj1Y8Rkyb6eku+5cfaNKBQKqivKyc4r4Ll3Pot4/l68fgORXgZLQnTVqlWSxyaT\nSVaAkJEZIHJkNQjkJ0bxyIkFfH7RISQbIteVBVPqikGpDM0AzH/0PqwWC1a3h63NFrkUQma/oNXq\nwuMNn+1zuEX+b1UEqS7Rw7VHZEf8we9VC+gNfnsDSUnwCxHLFABfo1zlxh5rYF9mtbGulqsOz2DF\n5WN4d3YxpxX5mtCmFiQQG/wRVWthrE9eKi4hkaGHjIfjQk0HlDt/5N5phTz/3udhM30VZaXSZjpB\nICXNVzubbErj/mdeYeEL/wnZ745Hnua5/32KUhuFoyeb6vKIuEXv73ZFS0kx8eYzTxBXuw46G8Hc\nhrbqZ8mcgZRBROn1xJ/377DbvtzRxorydjrsbp5fW8upb/zCZyUteL1e2m0uFpd2RNxvT3B6RH7c\n2cAFp5/MHRefyd9nT2fXprUYcVHZYcfuFolSK0nSq/2mIoIgkBOnIy1a4x9rbW7indde4J3XXqC1\ntYnVlR3+17mh20HJjjIuOmUS9/7jKt8Ta/QwVJplZetyaqsqesxefBn8/hoCtUoFeyuHMW3aNL8F\nskqlYsmSJbIChIzMAJED4EFEo1Rw1WHpu58IVHW78cSHdutWV5RTUVaKTqkgM0ZLexjLUBmZfYnT\nI7K92SoxBAjmw1+baTCHL9m5dWIyxw4fuNlL30AyOTWdh599nbSMyMdITEqWPI7UiQ+gUgiclBct\nHRx3OuiMPPP2R7y6rgYMfaxrf/4Iz8cP8fLTj0U8h9yCQpJTgz77Xi8tPaY32qgoOlsbKCsrC9nv\nubkP0NrdTafDTbfDgwB0Ojw0WZzUdTtx70atYHdk5uRy64NP+B/bVr8n2f5jdRdd9v5rch9dsYtt\nrZFLsu5dXsHpb21m4S9NWJwe5n5fzQs/1bGktA1XhNP/emc7FufAv9uitUrcTZXUVewEoKainDmX\nzOLqWafR0WXm55quiD9mQlDwe/bkw3n2sft59rH7uWTakTQ3NbFmZyPvfryYO//9IJeeehwdwTdf\nh54K2iCFEXOb72YLiIkNvE+euu/2sHXcNpdIfkLUXjONMplMbN68mXnz5vHrr7/6tfplZGR2jxwA\nDzIn5MczMSt0SXGkZSujEqUVJ3FjfOL1yanpZGTnAqHLoYOtgykjs6esqe6kzRZ+JaLD5uKtjX1M\nIkpXoXzpUj6YmcHJh0iXx92iN2xQ5/V6abQ4MabnkjUkHwBTeibPvfMpsXHx1NdUhewDvs/OVTdL\nl+Yvu+Gf/aoqHG7oBltABgytgaFXzqVJncjP7j4GFdtW+Jvqem9Ow6E3GPjbrXdLxsQeq+WainK0\nSsHfnBS88tPW0sycv55BZpSX4cl6DkkzcuyQOEamGDg6JxaH+/d//rW6oEar+u3EqQPHtLtFPt0e\nXpGmy+7muJc28MXOzj1+zoW/NPHCT+EbAAGsLpFVlQM/rkohUFBY5P+e7MVXP70dXZ8GwXD8uHK5\npDTF43GzeskHnDftKK686Hzef/E/0trkqBg4ok+Z2qbPoWclpKszUOIW6b3RbncRG7V3Kw1NJhMX\nXHCB7PwmI7OHyAHwICMIArcck01+QqBT3FC5ll+fv43qb6TZl9wps5m/8BNe/3Q5L37wBfMXfhLS\nTNFscdLWr/q6jMzeo93motPuIStIlq/J4uSaj7dzzcfbOf3tLVhcQUGa3QzL5uPpavFr/vZS1+2k\n0ezE6pJm/rxeLza3iFYpoNMbefytj7nvpfd5YdFSEpKSMaVn+JvLAFQqXw1Db4Dc3iYN4ELKJ/ow\nfFghxlLpue1QpTPnc2mGVrC0wbJn/Y+TU9P6rdWNiYsPO545JJ8jxx7i13H99ttvERSBr97m+lq6\n63aREatDEATUSgU58VHERalJ0Kulr+9voKh4tL+xMDMnlzNGSIP8Rb+2hNyUvLyujhlvbQ49mOjh\nhVNzmTk8aY/OQauEo/rssmKXL4D0ekNvilqbm1i04HV++PZrf2bVZrVQXyNt8MrIzmVoYdFu9YQB\nJk6aLHndAf730nO0t0UoAzn6QlAG1cs4rLBxcdipvYkLl0fE6/XSYnXRbHGRqA+UX8jIyOxfyE1w\ne4FEvZoXzyiiot1O+fYSHnjyAQA61n0Jh5zhn7e5yUrWtFHoe7Q4wzknxWpVtNpcJOgHVlssIzOY\n1Hc7JLq/K8rbuXd5ReQd1rwLdp9V8ejxE/3DPikogWFJRqo67VidHvQaJW7RS4PZyaFpRkQvtNlc\n5MaZOHpoGt9XdOCx++p5e5vLANxuF7fc/zjHnzQdgI//96Z/m1KlYtLUk/u9Jr3BwJ3nnchta9rA\nGFku7KbjCliwxOQ3gdBo+tdrLSoeTXp2rn++KT2TWx+YyyGHjiHBENBx/e677/CKgaA2NT2DkSOG\nhz1mVpw25IZhT9EbDLzw3uf+ZkOPSsuCLa1+/eAWq4svtzVw6sg0AF78qY63NzWGPdbxWVEUpsWT\nZ4qjvM3G5saBGXqoSr9j1ZqP4LxAOcaP1V28saGBBZsasQdluhN1StrfuAWxZivgU+Z4edFSVn61\nBFGUvhYnnzmr32x/MInJKbz4/hJuuOhsLN2+FQCLuSv8ZFMBjJomHVv/MThCr1evN/DUq++gNxho\nNDtxuL0YtQoUCjg8MzpkvoyMzP6BnAHeSygEgbyEKI48pDAg9ZSgJzsm0I3s8cIPVb4vYKvFwtZN\nG0LqyJQKAfvvzADJyPwWvF4vVqdISk9jZ5PFyYPfRjZYoKMeNga64bs6AkvEdrfIKJOBjFgteQk6\nnKJIbZeDui4HxSYDmbE6suN0jDIZiYtSY9QoMRnVKBUCuflDJdJoWbl5HH/SdPQGQ4hL2QPzXg6R\nWwvHIYeMJmnLoojbs2K1nHpINtfffq9/rLaqImyzU01lBU8/dA8fvv0qdzw5nySTL5BUqVTkDj+E\noemJkvl9JcCeeOKJiI1LRo2KrFjt7y6F0BsMmNIz+OaLT2ncVYpj/eeS7U99vo7mpkZWV3VGDH7Z\nsoxxFl9WWKUQeOrUocw+JMXvmPbwtDwuHpsaspsAWL59Cxp2SLSbRS+88nO9JPgFaLV7EM95BOZ8\nAkPGUV9TRcmWTaSGqQP/aMFrvqbhCN+fwVgtFu6bc40/+O2XE66WPu5sJK1uLUkpoWUGVquF0q1b\ncLhFxmZEc3x+HEfnxjE00bDXan9lZGR+P3IGeB9w410P0tXVzeFHHs2CrZ28FfQD89bGBoZEC9x7\n7QXUlmzyS+oEZzXabT7LTFkOTWZf0mxxYneLGDW+AOf9zU24PP00ZS1/Hjy+TG1Gdq6kXMAtQnKP\n45XJqCVWp2ZTfTc2l0hukBlA8FJ2scmI3S2yqV7ghfc+Z9O6NTTUVjNp6sn+z0ev1Xiv+9ro8RMG\ndG16g4E3nn6Ud9eU8lofP42hiVH836lDsVmt/PdRqfrBU/fdzvPvfY5SF4VaIVBTWcGFpwTpBT/9\nmF9XuLaqgi0/r2Hy8DOwB5W7jh07loKCAsrKyigoKODYY47u91xjdWoazV1kxwXKUBxuEbtbJFqr\nHNASe2tzE7OmTMTt6imnikuH0YFMuTs+kwseewN70ZTwB3jndlRNpRzxrx/9QyqFwFWHZ3DV4QGn\nuIlZMXi98PoGX124QoDrDjPxwQc6ajsgvm497Sl70Kg14w547Voqd+5g0tSTSc3MpiGoHrylqZFN\n69bw7OP3+98DkTR5S7Zs8is39EvOGEiVlrpcM97E9KsX+4/z0+qVLHzxv/7tT/37dv77wVISMmP8\n7+GM2IG718nIyOx75AB4LxJsjZqRM4TDj1zCpCFxkgC4qtPBFZ9VwCn3w8iNVH30byrKSiXlEGqF\ngM3lkQNgmX1Ko9nlD37brC4+KYlQK9laDV89A3XbUCgUiKIYUmuZZpSW8OhUCsamR9OfxoFaqUCt\nVOD1+iTBeoOcRQte8wc5kbSEB4LeYODiyWM4bKSF/66podni4oisWP5xVCaCILB1Wyk1fQKm6opy\nNv26lRGHjKHdLfL+OwulB+2T3X32oTu59PSpkjGj0ciKFSsoKSmhqKhot7JVGqVAXmIUtV0OUvRq\nRC94BXB4RMzdHjJiAoGWUxRRCb5VI70m0Gy38qslgeAXoKMOSldBYUDiK2zwu3MN9x6XjeXqi5k4\nafJus+uCIHDJuDQmZsVQ3m5ndKqRzFgth7+4gK7WZlJyCrhicQXttgG6wSnVMPNfPP3ADSxa8Bpz\nX3ybD99+lQ/fCrj9bVy7WuLAt2ndGo44dnLIoRrsAuRPgMoN4A5Vtbjo2jnEJSTwtjmH4CrydLqZ\ndWzgJmfshCMZNvIQln22iOYep7+m+jq8LdUoFaHKPjIyMvsnckS1FynZssn/xVxbuYuKslKGJkZx\nWEaEurCcQ1Fd+iwpOfmSYbVSQW2XY2+froyMn59quqgLes8tL2+XLFXHR6n48uLRPDnKBq//Deq2\nAVLlg96ueI/oRR3mm0atVEjqiyMxITuWrSXbJEFORVnAhSxES9jtCWuTG4mRJgPzZwzjvdnFzDk6\ny79sHc6VLj07lxMOH82E7FiOzonlonPP7vfY9XW1lJSUhIz31gMPRLO1V89WoxSwukUQICNayxHZ\nsWTEaiUNZIIXKjvsWFyiX9/WarHwv1eeCz3wqrf8BiBhaa+Fjx9Eq9Nx6l/OHVBpSS/DUwycOiyR\nzJ4saJRez4jRY0iKi+beyaEumKcUJkaul03KhaETqSov46bLZkuCX4B3Xn1e8viu6y+ntbnJ/1j0\nernuk1Ie26GDmf+Cv78PE84JeZrRh01g+NSzaFHESsZnZoa+lxpdSh54+UNM6b6ANzM3nyPGFIc/\nfxkZmf0SOQAeZHq7l1d8uZjH77rFP56elUNuQaHfplQdwVHLHW1izlc1kjpBlULA2d/Ss4zMIOMW\nvehxsn7NatavWc3XZdLs7/Shsfz684847HZ/EBBMsBav0+MlKeq3276qFQJpuUMDtfRDCtCn5eL1\n+uS0grE4PXTZPXQ53HsUBIdDbzAw556HJWNOp5P0GC06lQJLRys3XHFhv8fIzs4eFGeuaK2KzFgd\nerUvc54RqyVaqyInTodb9GJ1eXB5RNJidEzIiuWYIXH+cpWSLZukJh29tNfC0lBzDgA6GuDNGwBw\n2O27ra/dE0anGXnn3JEcnxfH+aNNfHrBKP45KZt7j0kjZeHV8NTpPuOOYMZMJyUtPfx1BDNiMu5r\n3uZfn2/z6xvP/a6aLX2s6pk4y9fo1kOSKZWi4tG8t0kq6aduKWf6MeMlY3a3SGKUmqzMNB5f8DmP\nvf4hCz75guhoueFNRuZAQi6BGETaWpqYNflwSYd3L7OvvN6focqI0fLwtDzuWFoeNrCt6nTw5sZG\nLhwTaCixuTyYnR7/krSMzN5C9HqxW8387ZxTfQ1mxiS4Upp1+/KR63ijZAPgc1Dry7W33uN/v+vU\nCnRhXA8HiiAIDEtL5LGXF/Lz9ysYdcSxpCTEMjrNyIpdHYASvVrpO2+PyCGpBmwukfI2Ozq1QLTG\n9zXnFr3Y3SICAgbNwO79i4pHY0rP9AdeLQ11bNiwAZvNxrXXXktLi1Ry7e6772bBggWUlZURHx/P\nggULMBqNWAYheByaGDBk6L19jo9Sk2hQU9lux6BWEB+lxNBzvTq1AovTg8Nuj3hMYccPeD+fC6fc\n7B+L1SrofOsGf5nAA7dch9vt6re+dnfYrFa2Vlf6y1RMRg339MkEl2zZRFNPSQEfPwgXBgXnmcWc\ndMWtfPnS4zQmFUPuGChdDSXfBuZMvspnXAGUuHTMeGszVx+ezuelYUp3lGo45SZ4/ToQPdx076O4\nlFq+rZQ2yF0wLkNyvaLXiwgcmxeP0yNiTdYTOzpLbnaTkTkAkTPAg4TVYmHhi/8NG/wCvP7MXEkG\nZXxGDEsvOZSP/zqKhbNG0Pfr85Wf6/l2V8BGVCkIrK3uxOocYO2cjEwYvF4v60urmP/iKzQ2hu/2\nL61r5auPPwyoKxSfINmeHSXS2BP8AnS0tYbU/Gp1gYYtTYTVjj1Bh4M5l5zL43fdwt1XncewWAGd\nWklGjJZuh6/kweoSGZMWTXqMjvxEPTE6pT8LanX73NXyE6Owezx0Ogb2OdIbDMxf+LE/y52fn88N\nN9zAOeecExL85ubmcuWVV/Luu++iUqlob29n8uTJEV/nwSIjWkNego7Ds2L9wS/ASJMRh0fETuSb\nD69XhJKV8H9nEL/4Pj6dNZR7Ci2S0gi321c73Ft6sqdYLRZuveI8rp09g6tnnTawTHJLBVT/Ihn6\n3/oaGo+9AaZcCwVH+ALYOZ+A1uCr7e0JfoN5bm1kMw7iM2DkFNIysxk9fgJflLbiDspHKC2tnDFR\nWtZgd4uoe5rcNEoFcVFqOfiVkTlAkQPgQaCxsZEZJxzDordfjTinpbGB0u0lIRJIsToVadFanjkp\nJ2SfeT/U0N3zQ61VKWizuqnocGD7nbqgMn9evvphPVOOGMMdt8xh5MiRlJdLm7y6u7s567QTmf/w\nXYHBoEYpgPHx0uBRqVQx780PiU/0OR1k5uZRVDwa8KkVJA6ChnVT5U6/DW7FzjJ27vAFYqNSjQxP\nMdDl8JAWo5HoZU/IisUL1HQ6SNJrSDZoSIvWUpSs36OgPDE5hfkLPuLKfz3Mgw89FPKa9XL55Zdj\nNBpZtWoV7h7dYqfTydKlS3/jVQ8MvUZFXoI+xAxCpRBI1ms4bNw40vs4qAEQHLiJHtq3/0x1+Q4c\ndmldsFLpC6r7ulQOlIqyUmordwH9B9E5eQUoglcKNkhNJ5yFx0DasNAdT54TKls2UI44l8bWNswW\nc0iT5wVHDiM6Wlqj7fJ4GZsulzrIyBwMyAHw78RsNjN58mQa6mtDtkXHxpGU4itjSM8ewoRDi6nu\nDN/M5qgtkbhOgU+g/v5vKvyP8xJ0VHbY+bm2i3U1XexqbGPdunWYzebBuyCZg5b6hgbOPW2q3w7W\n7XYzZcoUGhsb8YhezE4P7337MzW7dgZ2yh3ra0LqQQBOGZUtCVQ8HjctTY28/cX3zF/4CS+897l/\n2VihgGRDQPv6t1JUVOS3Ei4sLJTU1WbGahlp0octsxiTZiQ3Xkdhkp5D03zBTEaMDqNm4NVf3WYz\n1110Di88eDu33XorCkX4r83e8zvqKOkNQ9/H+5LiVCOH55t44rFHJeN6QzTPvLVI8nfMyM7FlJ7B\nMy5fiikAACAASURBVA/f6x+LS0jk6Tfe55b7H/ebPYjePautzi0oJCPHV+6QNSQ/YhDdWFcrsSqm\n/CeMhKo1hJB3GBhDy3D6oqv9BV65yi/VB4AxEfGoC3ly6WZJo7FaITCzOFTT2KBRDsh1TkZGZv9H\nrgH+nZSUlFBbGxr8CoJAd2cHZkHgnw8/xfjDJjI8MwlzTRd2t4iuj6SZw26HX5ZA3njfF3oPa2u6\nqWy3Y3R38ePK5Rx2zPHYhASamuo57+IzaaqrpbCwkOXLlw+oo1zmz8uzL7/hV2nopa2tjWMnn8Ar\nHy3DGG0gOTuftMxs6nu1Vg+XqhxMGhKHs61BGqgA9/7jKt5a8h0jRo+h0+Gm3e4Gr++mbTACBqPR\nyPLly8NKhykEgRRjeM3VBL2GBL0vAFcHKU6kRmv4pd682+y0yyOycctW6it9Wd+Kioqw87Kzszny\nyCMB32saTFtbG4bfUDc7WGiUCowGvWTMaummpb2N95avZeVXS0jNyGT0+ImUbNlEbZCxSEdbKzde\nfDZuV6AGuNWtIi1ag1JgQMv/eoOB+559i6bayn6beXMLCklOS/dLiyG6Ga1uZZUrbc8ueO37kDwE\nhoyTDNs/fBBcNli3CCYEva8POYkf+5RJH58XR3yU9L1h94gMCdJilpGRObCRM8C/k6KiIgoKCkLG\ne0sdvF4vc++8mQSVr47usMwYorX9NAQtfhzapJ3Ob/xUyawpE3n8rls4b+oROFpquf3iv9BU5wu8\nS0tLw0otycj0UlZdy38efyjstobaGtZu2sKuNjuCpYOG2mrfhuxDIXOkZO75o03kFhSGVX5Ysugd\n2mwuuuxu1AoBh0fkdxqYSdgT6bDdkahXE6XuvzGvy+HG6hI5c9JYf3Y3EnPnzvWfV3/Z6j+KMWPG\nkJSUJBnbuauSxOQUzjjvIo449oSIzW29+sFV5WXsKttOarSGbofHd5MzQJQCvPjwndx79flc/peT\nwtYB6w0G5twtVd04KUeHqju0hnpmQYT3QPMu+GEBLLrPZ8xSuor4tW/w+glxmJJ9WeKUqlXQ3Rzx\nXPVqBZcflh4y7vV6STb+/tUMGRmZ/QM5AP6d9IraX3115Bo00eNhzarv/I91PR3rwfibhlx2WPOu\nZNu3VWbcQk8nu8vFkkXvSuSABktqSebg5c0F70bcptXqSDclkaRyc91fz+i5eRPg2Esl84bqXRQm\n6dEbDDzx8kJi4xMk26eefjai11fykKhXkxWrZUjC/pkxUwgC2XE6drXbQurywVe7PCQ+inEZ0WQk\nxfPpp58yd+5ccnJCa/UBdEFNf73Z6mXLlu03KzNGo5GlS5eiUvm+R9RqNcdOOyVkXlHxaDLC1Qvj\nqwGOz8pneLKeo3JjUSkV1HU7Q+Tm+j42uzyUbPqZXT2103VVFaz9/tuw0mqFI4pJTvUFn5m5eYwY\nWUzSN0/DL1/459w21sg/jhvKFWOSQ09yyVOBEoeNi+GzR2n//n1uvmwWjXU1mNIzefKF10natjh0\n3x6uOjyDlD5lOxUddvTqgbnuycjIHBjIAfAg8cUXX0TcplQqOfbYY/2PY7XKEEtZyQ9PyUqJDqYb\nBQzxaVEqVSpOPuMcvyZqSloG//t48X7xIyuz/yF6vTg9Io5+UrEOh51rTp/CLz+voaO1R9mg8ChI\nzpXM2/nm/dRUVrB+zWpuveoCOtvbiImLZ8asC3hryXckpucw0mRgfGYMw1MMjDQZ9+uAITNWy/Bk\nA44wy/Iu0UuKUYNRq8JsNjN9+nRuvvlmKisrQ+bm5eUxduxYydhgZqsHi7y8PH799VfmzZvHli1b\nGF2QFTb4D1ekEJeQxCMvLaTAFI9Rq0KjVJBq1KBSCFT31M42WZy4RJFuh7Q8RoGArV7aOPh/9/8r\nRBWitbmJa2fPpLmhDlN6Jk+//h6NdbU0lG2BZfPhyRnw5Axe/eeFWC0Wzh+XyYNT88iJ9QWrccuf\n8qlHhKG5oR6AxroaujraeeOph5iYFDrvsIxoZg4P3aBVKchLiArdQUZG5oBFDoAHgfXr10tqA++/\n/36UPc0lCoWCr5d/Q3JyIFuhUytDauH0BgP/efMDn9uSV/TZlAbTEwAnm9JISErmof++yvlXXs8T\nLy/EExW/dy5M5oDE6/WyucFMeZuNn2q62VRv5thTZqJS+WoaFQoFxhip25XH42bn9m0oVSpQquDo\nPgYPu9YhVm7kuvNPZ84ls/x1ol0d7fy48ms8UbF4RC9p0VpUB1CTUFGKAVUYRQi7W/Rbj5eUlFBa\nGqpcEBcXx7vvvsvKlSv3q0C3P0wmExdccAEmk4lYrRKHGHCL27ppA5vWrQnI3wXR0dZCR00FhcmB\nMomhiVEclRPLiGQ9XU4PMVoV4zJiMEWraeuxOnaLXnBa+d/CBSHHg4AqhNVi4drZM/0rW411NTTW\n1ZJbUBiiYNFYV+NXkjgqJ5bXzx7JisvH8MzD/w6R4+slPcuXue9VstAbDDxy+hg+OK+Y80ebmFYQ\nzxtnDefxk0PL2TrsbpL0KqK1csuMjMzBhPyJHgT6NoIceuihbN26lS+//JKp06aRlpoq0QI1qBXE\n6pT0NapqrKsNWHiW/wSHnRnYmDceFEoaaqvZtG4Nd/39ctwuFwtf+i9z3/6MkScdsV9n22T2Hd9V\ndKBRKuiwu3G4RfRqJbFGI/fPe4mG2mpSMzK5/ZqLw+7rcbuhaBLEBXXAix5Y8TLga4rqS1N9HV11\nu8hPHRey7UBAq1TgdIsoFQKi10ur1cVIUyCgLSoqIiMjI6TZtaOjA51Od8AEv31JNmioaLdjtVi4\netZpVJWXEZcQJi3aQ4JWuoogCAIGjZKMWC113Q4m5vpKYvIT9YheK61WFzaXiKqpkqamgDVxYlIS\ngqCkpbmRjOxccgsKQ9zqTOmZ/kD1yn/czr3/uMq/TalUYkrPCDm/ro72iDrsZ190BTn5QykqHi2p\ndU7Uq7kiTL1vLx7Ri0ohYNhNvbiMjMyBh5wBHgTGjBnjb4QrKChgzJgxmEwmLrzwQtJSQ6V0BEFA\nowp96XMLCknNzPY9qNsGtiBXIl00ZIwgIzuXndu3+htTRFHk5r9O57Ofd1DX2s7SlavZUd8Wcmyz\n2SxLpv0J6Ha4USkEdCoF0RolSXo1OG1cPes0br/mIhYteI3CEaPIzM0L2Td/2Ahfac2oE6UbSr/3\n2eZGIDV7CIePLqY49cAMBAuT9LTb3XQ7fY1dh2XGkB4TUJUwGo089FD4BsID2QRBEATidGp++XUr\nVeVlgC8z2yvzlpAi/e7SR4UvATBofJnfXjRKBSNNRvIT9ByeGc2EQ4vJzs72b29taaGl2ZcQaKyr\npa2lmcfu/qd/u0Kp5ImXF/oD1fZWacOax+OhsS70/RipOVOhUPL0A3fy6L9uwmbdM0c+h0dEpxIY\nYTow39syMjKRkQPgQaC3EW7ZsmWsWLFiQBmhdpsbaxhDC7G3gcMr+rLAQRxyzvU8+vybfLTg9T77\neHjrhWeYMnky58w4hb+cOo2u7m7/drPZzHHHHceUKVM47rjj5CD4IGZ9RTPb1v/I+jWr/bWVFWWl\n/gCnqryMxrpa5twj7bZPTE6halcZM66+FbJGSbYpfno/4vNdceNtfLnsa/JSD9wyHK1KwXE91rYp\nBg1xUaHSaFFhgr/em90DmbzEKDLzh5KSFsioiqKIQqnk7nmvSG7s+9Y5BxOuPCAjVkt8jwSdq+eG\nvS9ut4u33niNhupAbbXo8VCyYweunmzupKkn+0pzeo/bkzXuS69rnyE6RjIuir7v2ca6Gq6dPXNg\nTnT4SokcbpFRqbLxhYzMwYgcAA8Se9r0YjKo6bS7fTVyPVSUldJUH2TdWb5Wss8vjVZuumw2LU0N\nIcdb+u4b1AW5LX23LmAjumHDBsrKfAFQWVkZGzZsCNlf5sCnpb2Ta845hZsuOZc5l8ziih65KVN6\nBiq1L6hTqdWY0jMoKh7tb6RMSkmlo62VZx+7n2c+/V5yzHwjiM2hjV/gqyW++ZpLyElJkGjsHoio\nFAJH58QxKkIWO1jlAeDxxx8f8M3u/oxKITAmO5n7n39bUj8rejy463awePFi5s2bx+LFv73RtqSk\nhPr6+rDbFEol67/9MmTc2lpPh91Nq9VFfFIy7369hhvufICHn32NFz/4IqJkW2JyCs+/uxiFwley\nICgUxCUETDKC64d3h80tkhqt9deCy8jIHFzIn+w/iCEJURyaHk1tlwOLy0Ntl4Os/KHSpemaX331\nl72k5NFoFf3ucpGWX7Ny84jNyJNoEQcTrvNb5sBn2aq1/psggNqqCjatW0NleZm/ZMbtctFYV4ve\nYOC5dz5j/sJPOPWs2Xg8HlAoYcRkyTFPL04Nb6OLL1NYXV29165nX9NfoDN27FhJNnT27NkHfPDb\nS0asDnt3R0j97MTDxjF9+nSuv/56pk+f/ptXjoqKisjLCy25AThx2jSa6qS65yqViqvOO4tx6dFo\nlAI2tzggveJeMnNyee+btdxw5wOkpmdK6tZ7bwB3h1v00uXwMDzljzMwkZGR2bvIAfAfhCAIpEVr\nOXZIHAC58ToMBgM33h1Ua2jrgpot0h2HHePPAEcKZEVRxOP1sqbaV0M8bNgw1D0ZQLVazbBhwwb5\namT+KHrfAy3tndx3xz9Dts+9+xYev+sW3wN1FIqRk9noiMPm8qA3GDClZ/D6/Kd824ceBYZAKYNe\nrWBqkYmb73s05Liw/5g87At+S5nTgcSUiaNJTpU6rv3www9+9YvfY7ZjNBp5//33WbZsGY899phk\n25IlSySPExMTWbt2LSaTiQS9htyEKJS/oc46MTmFnPyhAUfDHtwuFxVVVRH2CuD0iIyQg18ZmYMa\nOQD+g4mLUjMhK5aRJiPDUwyYCkaSnj0kMGG7dEmaI86F1KGgjqxJWVtVQW15GW02X9Zv+/bt/ho8\nl8t1UGXt/syUt9lYU91FeZuVz3/YQH3VrpA5rc1NviAgPgOufwfxxBt54ZcOTn79F9bXdbPyq6AA\n5JBpkn1PyI9Hp1JQVDyatMxAE1NeXh6ffPLJfmPysK/YH7V9B4tYrRp1H/m6nJycQXO0MxgMjB8/\nnvPOO4/09MiqCzqdjpSUFP/jrFgdUeo9+5nqb4UrPimZlJwCSelZOFRKBdmy7bGMzEHNfhcAL1u2\nTNJY8vzzz3PSSScxdepU5s2bd1Au3/fqpupUCtITY3liwafc+9Tzvo07VgecjcC3TH3eE3D9O3DZ\ni6AIbT5JTk0jt6CQWJ2K2tYObrzxRv+2uLi4kHpGmQOPna02qjpsdDs8lDRbSR8ylJi4hPCTlWqY\ncUfI8JzPy2iO6VmaTh8OWYdItp+Y6wv0bFYLTQ2+2nSFUsn777/PpEmTDspA8M/K+vXrqasL9B9k\nZmZy5JFHDrqjndFo5JtvviE1jDoOQG1tbUimWatS0OmQ2i739ztgcXmo63aQPnSkRBVCqVTy4Sef\nMXV4Oi1WV9gmZP95amTZMxmZg539KgCuqKjg0UcDy63ffvstS5Ys4cMPP+Szzz5jzZo1IUtmBxOC\nIDA2PRpTQgwjDj+KpGQT2Lth24rwO8SaMJx0bcjw3269F73BQJRKwVuffk15ecCFqaOjg6OPPloy\nJnPg0WZzEadTk2xQE6dws+XH7+nqCJW/A2D8mZCYFXbTggYjxlOuh3P7lDnUb0fR6mt++3Hlcp8+\nML7mqFWrVvU9jMwBjNlsZs6cOf7HmZmZfP311xiNxr2S9TaZTNx0001ht2VmZoZkmtUKAXMfd7m6\nbicNZmdIEOv0iAxJiKI4xYDb6/WrR8QlJPLjmrWMGTEMnVrJsCQ9Zkd4zWCbSyRJL0vky8gc7Ow3\nAbDNZuOWW27htttu84999dVXnHbaaej1erRaLWeeeSaffPLJH3iWex9BEBgSH8Wv27b5tTJZ8RJC\nd0vY+ZaiKcy88QHJmLYnw2u3Wpn/wO1h93v77bcH76Rl9hq7W6rtNTEINgqQoFDB6JP7PYa5aGrI\nWEzJl36pqYmTJvtVJDQaDdOmTQuZL3PgUlJS4leJAXj22WcxmUx79TlnzJjh70voJT093R94BzMk\nIYr4KLXfzrvB7CBBr2ZiVozEtrnD7sbm9hKjVZEdH4XQsMPvatfR1kp9kHZwbryOzDhtyOdL9HqJ\ni1KSYtQiIyNzcLPfBMB33303s2bNkjRo1dfXk5YWaMxI7eOodrCiUymYcOgo0nJ8y9OmpAQeOj4d\nmivCzm/JOZKMoE79+Y/eh9ViYe33K+hsaQq7zxlnnDHYpy0zSIheL512F01mBz/VdPl/+Htp6Hb4\nf7iDNX7DUjQJjNLSiFGm3TT37FjN7Vde4O+2T0xO4Y0vV3PPo0+wefPmvR4cyexbsrKy0Gh8er0a\njcZf97s3MZlMbNmyhQcffJC7776bd99919/81heFIKBRQqvVza4OO0kGDROzYojVqVArFNh6ssBG\nrZLhyVH+8oUYnTTADlbNEQSB9Bgt3U5paUVVp52MGDn4lZH5M7BfrPO8/fbbqFQqzjrrLGpqApI4\nXq9X8qXl9Xr9LkUDYX8KltvaIixPRyA/WuCJl95ix44y8guGUr2rDN78OwgKGDIOTr/LP3dtrZkb\nb7yLx+dcBkB1RTlrV3/Hk/eGz/4CnH/++SxatAjDbiSFBos9vf6DjYFcv1v0sq3FgcmgZEuLg953\nfntbG4eaolAqBJweL9/XWEjRq7ACGr0BpVKFp6dOXBelR6uLorO91VcvfvwVkuc4JT+aSw6J597v\n3Pza4gg9iY56TJs/IOv6N2gNOmerR8m5M08FftvnSv7777/Xv2nTJpxOJwBOp5NNmzYxevToQX2O\ncNdvsVh4/vnnqaqqIjs7m48++ghLBJOKNKUXg85DWZsDU5yHpiYbAKkKkXWNNgTBS1GiDq/FRlPP\nITIyMsjNzaWiooLc3FwyMjIk713R68VrtbO+3kVOrIaKTgf5cVqsHSK2QXb425///vsC+frl6/8j\n2F2yZr8IgBctWoTdbmfmzJm4XC7//0eMGCHxkG9qaorYPBGO/S1TtafnMzUpmdiUdAxqJQnx8aRn\n5/qW9Mp/gs5GiPUdzyVCU8JwsvMKqCovIzuvAK1GTVdne8RjV1ZWUlNTw6RJk37PJe0R+9vfY18T\nm5hMeZuNvIQodGE0Z1ssTqztnTR7lRSmxyAI4PVCk8VFu0JLUbKBbU0W8tKi0PYYTzRWV/qDXwD7\nkInYT7ox5NgACrxcMD6L5Ggt/5mRwJ1flfNDdcBu26hR8O/JaRRd86lEa9Xm8pCVqiEtSf+7rv/P\n/vffX6//yCOPpKCggLKyMgoKCjjyyCP3SoNj3+tfunQpVT2SZFVVVZSVlfVbXpMBDM8NHc9K9/Jj\ndRfDsmJQ9Alcv//+e0pKSigqKgp7TSaTl51tNirb7OSlRXNMbjxKxd6xt95f//77Cvn65evf39gv\nAuD33w9YrdbU1DB9+nQ+/vhjli9fzjPPPMM555yDSqXiww8/5Mwzz/wDz3TfolYqcLhFBMFn83n2\nhZfz9AN3+jZuXAzHXuqf+/nOTl5e+CllW30OcA67PeR4gqDA6w0sp9vDzJHZe2yq78buEnG4Rcak\nS+1VRa+Xyg47adEa2mzuwI+wAGnRGhrNTjrtbhQC6FSBDvXcgkISk1NobW6CwqPhxL9HfP4JCR7S\non3Lu0qFwMMn5uP1ejE7PWGtbHtpMDspSpY1UWUGl8rKyn4fDxRBEJgQJviFgHRdJBSCwNBEPTlx\nOpSCsNeCXxkZmf2P/aYGOByTJ09m2rRpnH322Zx22mkUFxdz+umn/9GntU8Zmx6Nu6fR+bCjjg1s\n2PIV2qC/XrPFxUPf1/HQiwuYc+MNzO01P+ghKSVVEvwC3HHHHb/Z3Ulm4JjNZn5avwGz2YxRo0Qp\nSGWcPKKXDXXdeL2+mx6TURNyDJVCwCV66dsTpzcYOOeSq3zNbpMu9pXIhEP0cPXRQ0OGBUHoN/i1\nuDwkGzTERu0X98oye4HgJriysrLfbHixpwQ3wqnVambMmPGbjxUu+N0TNEqFHPzKyPzJ2O8C4MzM\nTDZs2OB/fPXVV7N48WKWLl3KrbfeGtH+92AlLkqNTuW75q6OoJIGh4XDEqVzf6y10DLxMrj0OVqL\npT8mZ198hdRmmX37Y/dnxWw2M3nyZP46+1xuPG8GDpsVm1tka1Og1rHL4cbhEf160OGI0aqI1arQ\nq0P1ScdNPBqh+ASISQmzp4/YTR+SbFBH3B4JvVrJ0blxvzvAkNl/KSoqGjTDiz2htxFu3rx5bNmy\nZb9cIpWRkTl42e8CYJlQND31nrkFhWTnFQCQnVfA+YflhN9BUMDYGTDOly1XqdVMOfV0Lr9BapWr\nUqnIygqvDyszOJSUlPjtZKt37aSirBStUsHOVhutVhftVieb6s3oVXsmvG+1WFi/ZjUrvvycq2ZN\nxzsmTPasfjtsWQavXUvnN29SUVa6R8/hEb0YwgTcMgcXRqNx0A0vBorBYGD48OH7rBlXRkZGphd5\nXfMAQKvy1QLrDQaee+czKspKyS0oRG8wcMYIC4u2htcIZvwZsPEzbrl/LonJKbS3Sue53W6qq6vl\nzMtepKioiKFDh7Jjxw6y8wr82rrZcTrW1XShUgoY9zDItFosXHn2KdRU9JiZ5I6VGF0oBZg/1cS1\np53pN7BIz8rxP/dAsXtEsuTShz8Fu6uV3Rv0ro6UlpZSWFj4p7PWlpGR+WORM8AHACajhg67L5DR\nGwyMGD3G36V//RGZXDQmgjKGIR5GTsFq7gZg0tST/c5IAJk5Q/bZcuefFaPRyHuLv+S++W/w3Duf\nSdQVEvVqYrUqtGEUIfqjoqw0EPyCL9sfxHF58XjaG/3BL4DL5dqj53B4RHLjokgJU48sIzMYBK+O\nlJaWyuVYMjIy+xQ5vXMAkKD3Wd66PKGuYApB4JJxaVwyLg2z2czp/34Fd+ExgQmjT2bUWF+Qm5ic\nwrtfr2HlV0tIzchk5LgJcsZlL9PY2MhLby9i9NjxkuAX6Lfmtz8yhgxFd/LfsWeNDTG5ADhrZDI5\nhmRM6Zk01vl0tZsb6qgoK2XE6DEDeg6P6CXFuOc1wzIyA6W39rg3AyzfjMvIyOxL5AD4AMGoVdJs\ndvUbNFXt3IF7xctQcKTPBAEgeQirfimhoGgE4AuCzzjvIgBarC6azU6S5SzfoOL1enF6vHS0NlNc\nXIzL5UKpUvHu12tITI7cqDYQ3KKX676swj58StjtxSkGhqf4Au0nXl7IRdOPx+N2o1KrMaVnDPh5\nFIKAWikvEMnsPXprj/vT6ZWRkZHZW8i/cAcI8ToV9j6WuH3JLSgkOyUBqjdLxusTiiWPW5ubWLTg\ndbavXUl1c2SzDJk9xyN6aTQ7WVfTxfzXF/hLDzxuN8sWf/S7j//+liaqO8M4uPVwxWHp/v93dbT7\nyyDcLheNdbUDeg636CVWJze/yex9emuP5eBXRkZmXyNngA8QYnRqjBoldreITqWg2+EmSq2UZIR7\nm+TeW1PKq0EloitqbFxrdxOjU9Ha3MQ5J0wINEdl57Jm1XdER0f3fcp9htlsPiiyQJ12FyXNNjps\nLlweLzVNg3tz0e1w8+rP9RG3n5CpZXRa4PXrVQ3pdQfMLSjE4RbpsLsxaJURm++6HG4OTY8f1HOX\nkZGRkZHZn5AD4AOIUalG1lR3YXN5aO9xC1MppEGM3mDg/OMO5dOGX2mx+rKPdrfIjLc2oxRgWlS9\npDmqrqqCTb9u5eiJE/bptfRiNps57rjj/DasK1asOGCD4PI2Ox02FzFaJRW19Sx65b/+bYJCwZRT\nT8dqsUhUPMLR0O3k39/sYmuTlaJkPQ9MySPJoOajrS04wtSBA1CykjPGS22tw6mGWF0eChKjaDQ7\nabe7iddJvwIcbpGRKYbfXJ8sIyMjIyNzICCXQBxAKBUC0TolBYl6TNFa2mzusPNUCoEZw5NCxj1e\nWGJNk1goq1RqhOjfV5c6UESvl+0tVsnY+vXrJS5Uq1at2ifn8nup6rBT3WH3O7p12t102t2YjBqi\n1Eq2rVqGKHr888+97DpaOy2cf8rxXDt7BlfPOg2rxSI5pkf08sGWJs5951e2Nvlep5JmK2ct3MIP\nVZ18vK2P3N1PH8CTM+DJGWSXfETe0FCZs2DVkF0dNhL1GvIT9RyRHUuSXo3TEyir6bS7sblFkgxy\nTbiMjIyMzMGNHAAfYIxINpBs1HBIqoGhiXpEb/iM4FnFyeTG6cJuU4ybCWnDAHC7XZRVVEqsefcW\nDd1OajrteHr8fM1ms18GqZd//OMfIfbMZrOZdevW7Ve2zTWddna0WGk0Oylvs7G+rgtNUNY0LTM7\nMFkdxfexE7hyRQftMx+AkSdQVV7mN6Zwi17mr6nlhFc2Mu/H8HW6ty8t92f0AXDaYO37ADz87Gsh\nEmt9cYtesmJ0JBt8GV9BEMiJ0xGtVeL0iDjcItFaJQLIlrAyMjIyMgc9cgB8gNEbnESplWTFaqjt\nCt8QpVcrefSkfHRhNGZFBNQnXgdAclo6SWkZVHbY9+g83OKeBczdDg/bW6xEqRR02t1+Efybb74Z\nhSJwjnV1dRIr7N55U6ZMYfLkyX94EOz1evluVwdKhYIEvZpfmyyUt9kQAL0mUI4yevwE0rNzAdCf\ndiPVYk+NdUwynHgDhnGnkltQiNMjcs/Xu3h3c9OencjW5eCwEBufwOjxE/sNfsFXBjMq1UiCPpDd\njdGpGJpkwOEW8QKZsTqOGRK3Z+chIyMjIyNzACIHwAcweo2KjFidP6PaF5NRw6Lzi5lzVKjdsSsh\nB0wFNNfXcduls9hcHcFNLgyi18vPtd3Udg0saPZ6vdjcXgxqBVEqBTtarWzdts2f/RVFqbrFqlWr\n/IHu/iaWb3OLKBSgVfpuRBKj1MTpVMTppJq5eoOBlz74ggdf/wRH3hEhx9GdcCmaKD23frGT2RcP\nUQAAIABJREFUVZWde3YSHhf89CEAne1tA7I4dnq8YQ03VAqBZKOGw7NiSDFqUAhy9ldGRkZG5uBH\nDoAPcIpNBkkdZ1+i1EpmDE9ixeVjmJgVI91YMBGA6opyWqvKsDg9uMIcq93qpMXiRPR6KWm28N2u\nDqxON2UtNtqtTsnc+m5HSEBe2+WgotOBWiEgCAKi14spJ5+8vDwAUlOlTnaPPPIIRx99NCtXriQr\nK4vCQl9t6/4gll/f7UTbo49rtVjYumkDTps17Fy9wcBmdwLh+tZa3WpuXlLGhvrwGe0ZRUksv+xQ\nxqaHNgRG7VgJ3c0AZOXm9Wtx3Gx10WF3MyJFH3FOUbJBDnxlZGRkZP5UyCoQBzgapQKVUoHdI6Lb\njXHB8Xlx/FjdFRgYdgyseous3Dwy8wtZU91JWrSWZIOaDrsbj9eLWqGgyeLEoFZS1+2godtJvE6F\nWqmg0+GmrM3OuCg1otfXGLajxUpBYhSJejVxUb6saFWnA/AFvwBRKiU76lqorq4GoKWlhZi4eLo6\nArJhFRUVzJgxg7y8PJYsWUJ1dfUfLpPWYXNR2mIhzajFarFw9azT/BJjz73zme+8+yg8LN/ZFvF4\nG/sEvwoBnps5jMKkQLD6wJQ87ltewZqanr9bVxO2JfP82/9xz8Mh5Q+dDg92lweNUiAhSoVSIZAs\nN7bJyMjIyMj4kQPggwCNUsDu2n1N7lE5caiV1QFL5bg0Zt3+BNMnHU79rjIMqUPwAhanB7PTg0IA\ns9NDnFaF1euh2eIiM1YL+LKftWWlmHILWLnLg06lwCWKGLUqdrba2N5iZWpBAkqFgNXhIUolzTB+\n981yv0mE2+2OWMZRXl7Oxo0bOfHEE3/7CzQIOD0ibTYXyT01tBVlpVSV+9QrqsrLKNmyiSfvu52a\ninIyc/N44b3PaXUradqD0urnZw5jaFDw2yuZds8xhXz20SrmP/Ew2ANBc1ZuHkXFoyXHcIteVAoY\nlxGNRimgVSnDlj7IyMjIyMj8mZED4IOA0WnRbG7opsXqRqsUsDhFkg3qkHlGjZKJmTF8F1Rz+s6K\ndXww9zbcLhdZQ/KZ/85n2D0KtCqBKJWSGG3gLRIf5fu/JPs5pIB5//uEJoeajGgtSoWAQa3B4RZp\ns7kpa7Vi1CmxOKQB8PhJx6NSq3G7XCAIWLo6Il5fWVkZiYmJf2gGuKLdRm2ng/ierHZMXDxKlcpv\nM9zV0U5Nhc99pKainE3r1vCTvY+ZROVGMLfByMkhxz9nVEpI8BucYb70+pslwS/4bhz6Ut/t4JRh\nSbKSg4yMjIyMTD/IqaGDhFGp0aQZNSTo1QgCUsmsII7MiZUO5I71BaFA9a6dVO/cgVGtJEoV6hJm\n6FE5KNmyKZD93FVGbXkZ2bE6SdClUQpsbjDjcIcvzchINTH3rY8RFAroT4JNUPCfefOYMmUKxx13\n3B+mAmF1iRg0SqwWC+vXrOYfF58jsRlub5U2ET76r5v4cLXUkprytbDqDbBIHeJGpOi5YnyaZKxv\nhjkmLp6YWGlAXV9TFdIAl2LUyMGvjIyMjIzMbpAD4IOIohQDRckGDk0zYtQocYqhDW3jM/pYHqcN\nA2MCAJm7aagCX2byyftu9z/OyM4Nu48gCMTrVCREhWaiARSCwK7N6/EGneO0GX9hxqwLpBO9Io0N\nDYAvExwskbav2FDXjc0p4rbbuHrWacy5ZBbNjQFLYoVCyaixh0m0fzscHsgYITlOfMcuBGsHvHMb\nuH3Ng6qfPyR77cusWrZEYoyRW1BIZq6vSTAzN4+cvALUGmkdb3JqmuS173a4idXJizoyMjIyMjK7\nQ/61PAhJMmiI1alYsr2V7D5mGMkGDcOT9WxrDlIuyJ8Imz5H9HjYHRVlpf6lfgCXyxlx7u4ykakZ\nmZLHXy/+iH8++ASfvPNmxH32hWFHMFsazVicHowaJVu3BrKywYiih9uuvgiLaQRMvR3iM0D0QJBN\ndZJg5Y13P2D5558w955/wn/OAsANfAF88eFC0rNyeOnDL7FZLaz8aon/7yEApVs309rc6D9ebEKC\nxPzC6/XS7fRwaIx2r70WMjIyMjIyBwtyBvggRa1UEKMLLWMAmJTbx+xgqE+ntq66creasrkFhZjS\nA4FrU33dgHRoe7FaLPzw7XIWLXidrNx84hIS/ds8Hg/l27dF3FepVDJsmM/Brs3qZGerFZsrNGjv\ndrixOMMH8112N3Z3ZNm4YJotTqo67H4zEVN6Bip1+Ix2S+E0bFNv9AW/IAl+AaYWJqM3GPq9Yair\nrmTTujXMmjKRpx+4k7rqSsAnU/fEPbf656WkpfPKoq9ITA5YWNvcYo+zm3xPKyMjIyMjszvkAPgg\nJj9RH9ax7ZjcPnXAmcWgiw5ZUg+H3mBg/sKP/UFwdl7BbvfpxWqxcNkZ07j9mot4+oE7uei047nr\n8Wek5zbl5IhBpsfjobS0lE67i9VVXWxvsdJplzaCtVicbG60sKXRHKJp7PSIbG4ws662a0BOdlvL\na9iwdBGdrc1YLRZ+XLncXy8NEBvfE7yn5MH4MyIeRyV4Ob7HYW3S1JN9dc9hSEpJpWpXmeQ5/NfV\nFMj+3vbQUyQkJdNuc2F2emizuRG9SOTTZGRkZGRkZCIjp4sOYkxGDSVNlhAN2MxYHUPidexq79Ho\nUigxjpnGc4/csVtL3V7OvfRqUjMyKRwxKkT7NhzLK8y8vHEX9qyjoLYGvCIej5tV33wlmbdj25aw\nAWAv1/39Rh558yMy4mMRvbC1yUKUWkFsjxNbeZsNvNBuc1PeZmdYciAo3NFiRatS0GB2sqG2m/GZ\n0X5t4r7U1NXzl8kTcLtcKJRKEhKTfEFo+nCY+jfQ6OlsqYRfvoBJF4dkfIM5Kc9Iot73UUtMTuH2\nh57iodtukMzRaLVc/Lc5vP7s/0U8DgSkz5weL6ZoLQa1Ao1SQaJBjXo3OtAyMjIyMjIyPuQA+CBG\no1QwKtVIRXtgGb+XSblx7Gpv8D/OmfZXovS7D35b/7+9O49vssoXP/7J2mZpmy7p3lJKKaUglVoR\n2QUEFbAOi4CKXgYXhHF0vBfFGZ07zuBPXAZ1cEfFjRFUduWi8ENURnRAvQzItFBKKbR0YSndmyZ5\n7h+hgZCwtIRSyPf9evXF63lyntPzLWnzzcn3OaeygonD+2Jvbkaj1RIbn0hJcZF7MwhfSfAnOyp4\n5afDgBqunQyGMNjwOgDBBiPJqWkUFxaQmJLKp++/5b5Oo9HicNgJs0RwrMq1ocS+4ytVxF19Ncd3\nI2ZneT3ZCSHsKK/F7lQw6jRoVFpqbHaa7A6CtBr2HK7naIMds15DYmgQe4820K3JQGiw79nmD5d/\n5k7EnQ6HK/k1RcD4OaA9fk1IFHS+6sw/sH+tZUCPwUCU+1RUTKxXM1tTk6s2+CxuGn8bRpOJ4qom\nesWZMehOn3gLIYQQwjdJgC9zsSFBlFQ3UWNzgKJg1mtQqVQMSAnjvZ9PJMC/HHVwzx23suDDj884\nk/vNuv9xJ4YOu52S4iLAtVRXUcEuMrN6e7Qvr7Xx+g8lnp1ceRPsWAcVe1j8zmu8+ckabE1NNDY2\n8PDUie5mc15+mzBLODHxCTx41wQOFBUSFROLo76a+ro6jCYTEQYddqfCt0VH0arVhAW5EsIgrRqb\nw8meIw3UNDlpdjg5ufIgKSyYY412nwlwo92JJSHVO/j+d5xIfk8n/1v4/DnQ6sHeDCjobx/s0SSj\nZxbxySmUHv/ZtcYbz8+h/9ARRCV28npTI4QQQohzI6+gAUCrVmE16ahrdlJSY0NRFNIiDMSaT0rm\ntHpKwrqd8YY2p6LwD203eHiV6+vGh4mKc930dbpa4GW/VOLwVW47ZJqrT4eDWffcQUpaOhk9s0hO\nTXP3l5VzDZlZvTEYTe7l0g6Vl/HY/f/BtF+NcC8bplWrMGo1WIK1HiUNeo2akuomGppdO9UZT1rb\nWKtW8a+yOkqrm7yG9r9FlTzzn9M9T5qjoPuQ0/5sAGioRv3NO67l0Ow2QCEhOcVrtzajycRbS9cy\nb+ES/vTCG2i0vt+HXj/2diKs3rPFa1d8TJ/E0NOWbwghhBDizGQGOAAEa9VYTXpizXryDzVgcyg4\nmhpo/GE59BjtbqfOySW+c5r72OZwUmdzEG7QUdNkZ8wH24GTltnqPoSwvtfzZNdmOndNRx1kIP9Q\nPUlhQRh1GupsDj7L89wgwi2xJ0QkwZH9HD1cyc68XUR0zuDVxasp3rPbo6a4qGCXe6a5xcEDxWzb\n+gPXDnbtqmbU+y4FsBr1NNqdaH0syRZr1lNS3YRGBTEhrrgq62z865dfOHq40rNx9mjQnOXX5cv5\nPPXsPLJyriFvxzbANdtrNJloaGqi6fjqE0FaNUaTiexr+rl+FJ0+5+6xnls9q9VqZs9+BMOTT/LG\nu+/z3l//7H7sjtun+IxHCCGEEOdGEuAAkBZpRK1ybU7RK1bN2l2HaSjeRdXGRdB1GOgNADiDQ3nn\nX1V8W1TE0UbvbXZ92XOsmXxdIlvzq1n404nZ47tz4tCpVdQ1n2HJsR7D4KeV6Ec9zH/9DPycd+Kx\nLbt45eZ0ekSbSElLJ9IazeHKCo/Li/cWuBPgMzldqYBGraKuyU7+oXrqmx0YdRq2l9eR2b07iSmp\n7vWOLbGJ1F11Mx635q17hdj6/fR94DlWvPsq7PoH1FeRlPK8R3J7svJaGzEheirqbESfdGNi/i//\n8mrrdDpRqivJTO/EnEd+S69rB7Nl7XKm3HE7/bK6nTVmIYQQQpyelEAEAI1a5f64PFirJi4kiJjO\nXUhOiIPtX3q0XZV36JyT3xZ/23yAhT+VeZx7a+tBXvtnqcc5q/GU91tXj4X73sOW6Fki0GLmql0s\n/NG145raxyoLyxe967F7WluEBmkJ1qrZVlbHlpIazHoNZrOZmY/+0d2mKj6bZtVJY6+vgn9/Rdme\nnai3LoX//dx1Dti29fvTfq/O4cFcEWsmSKPGcdIybH0HDfVaGi0lJYWMjAwAQoK0TByYxW0z/4us\n7l3PK14hhBBCSAIccFQqFVclhGAwmHhh4RKsRd9AdeXZL/SDp65LxNjKRQve+7mMN77d5bH1cIuy\nkv1s2/rDeY9Lr1GTFBpEjElHsFbN4coK5j35e9eDKjX0HuN5wbb/cW9lHBFlda9brNXp6DvI94x0\njc2BxaDFqNNwdVIo5XXHbyR0Kii6YKJjYjzaz58/H7PZ7D42B2nJijNhOk2phxBCCCHOnSTAAUin\nUdNoVygvLaFy325Y+wI4zn3W17LkQa5x7m3V98yy6plzz1jq/7mitcPlizIVCd16+Xxs3pOzz3sW\nGFyz5DqNmvq6OmZMzqWy7PjsdfbNEHYiOdWqgP9d4z4eMnI0S9Z/z6y/PMeS9d977M52MpNOQ5LF\nVWpi0KqJOj4b3mh3srcgn/KDJxJ8rVZLerr3DYVhwTq58U0IIYTwA0mAA1RiWBCdunQlMSUVDuyA\nlXO82jxxXQp/Gd6ZtEgDvWJN/C7LRMT7d1NVspfCj5+HEu9ti7tbfe9G1kdTRnFhAWxdAQ3VPtu8\nN647k3t5J5CNdoUhj77GvIVLiLJ6zpRWlh1s1VbMZ1NUsIvy0gOug4RMGPxrj8dzLHZoOOY+rq46\nSqQ1mlHjJp02+bU7FSKCT/yqqVQqLAYdVY12GuxORvXPJikp6UR7u539+/f7LSYhhBBCeJIEOEBZ\njTrUQQYe/u+nXSeKfoJ5N8Prd8L8icy7ooFhXcIZmGLhrV9lMPe6BD6cPYUjh1w3olWW7oclj8Ky\nP7luANv1D5JWPcLzwxLolxzq8b3GZYSz6qUnXAd1R4jZvMBrPJ9M7kGn8GDu65PAxrt7MzbT6vH4\n6t1VZF7Vl7lvvO91baglHHBttbxz28/nNSPc0hdBJpg41/PBxlpuiGn2WKrtXLaBrqhrxhLsWbpg\nNenQqlVEGnWEh4awfv16kpOTAUhPT3fX/wohhBDC/2QViAAVenzN3Ja1d4sLC9DqdNjrq4iOi6dT\nahr1dXXubY7zdmyj8mCpd0dFP7m+gP3Avj27+X8jerPvaCN7qxpIDTdwKP8nlpacmNF86L5f0+Wq\nHmzcW0WsWc+AlDDUp3y0Py0njnV7jlDT5ACgusnBN3uraNrxLxg0FTpdCaHR8NEstm39nogoK9Mn\njqa4qIjYXtfy+utvYAkN8ehz16F6lv1SyXWp4fQ5zTbI7pvYRj7k9Zhl5+f0mfoEfZZ8dk7bP7eI\nMeswaz1LTMINOpItQSSEBqNWgSEmhu+++468vDwyMjI86n+FEEII4V+SAAcozfHZx6MqeP14QqcP\nCuKRe6dQcbCU6RPHoNfr3dsc3z/r8dP3pdHgcDjQ6nTExLs2xugUHkyn8GAATl0JOCg4mGiznluv\n8F0yAGDSa7gpPZIl208sfbZoWzn7qrpBzknLgP3Hq+Tv/xbTpo0Ux/aBW+ZRBoz7pIC5I7twdWIo\nTkVh/uYDLN/pGsna3UcYkxHJw/2TvJLgvoOGoknsjiPtGs8B2Zt44s6b3QnvqTvencnplmFLPl4T\n3MJsNpOTk3PO/QohhBCibaQEIoAlWYKxO107k6WkpfOH30w7UeJQVuqxzTGoMIWGevVhjYnD4XDN\n0tqbmykvLfFqk9Ezi9hE18f7vnZGO52RXSM8jvdVNfpst6o5lT+9txr6TnKfcygwa+0eNhVUsGLn\nIXfy22J13mFe/6f3jHaQwYh66H1e5xO+nEP3K84+brtTwe5UUBTXV1mtDaNOVm4QQgghOhJJgANY\nkEZFywSox81fp4iJT+TVZ56krvrEzWsarZY/vfA6as1J2wufNAN8qpaZ1lPXuz2T1AgDQzpbzt4w\nPAF8JK0Aj28s4eXvfce19JdKKupsHrXDa3/aTXNUqke7e7rAgg+WnFO5Q2VdM/XNDg432KlrdhJl\n1JFsCT57DEIIIYRoN5IABzCVSkWKJZgmu5NQSzgRUb5LEupra9l/fFc0gNAwC++t/opQS7hH0ny6\nGeCigl0c3L8PgANFha1atWHqVXHnve3vSXtOeLA7FV7bXMz0iaOZMflmpuYO5+vDnlVBV0QbuG3I\nleeU/DoVBb1WRXerkS4RBvRaNTmJoWhk22IhhBCiQ5EEOMCFBGspLt7LXaOv48ihCp83htVUV3kc\nVx+rorrqKE2NDR7nrbFxPldFSElLJ6FTZ+DcV05o0ckSzIxrvGeVH+0XC82+SyLOJD5E73H8VVEN\nxbWuDLncEcz2w543q913TaLPn4lTOVHq0HJ8qL6Z7PgQrOYgOkcY6B0nN7IJIYQQHZEkwAHO3ljP\nrDvH4Ti+EUZLQneysHDPWtzwSCspaekEBXvexPXwf8/FaDJ5LUdmNJl4ZsHfee6D5fzxraXnNJt6\nsl9lRrmT4O5WIx9P7sGNmXH8ZYAVmps8G5fshFdv9z4PDOgUxvsTMkkKC/I4rx35G9eOb9f/xuN8\nemQwPWO8k9h6u5ODNTaCtGrqm50ca7RTVmujV6yZcIPO3U6nkV8vIYQQoiOSVSACXMGufKqOHD5j\nm/5DR7Bm6WL38YOP/wWjyURGzywSU1I5UFSIJTKKpJRUDldWMGNyLuWlB0hOTeP1JZ9hNJkIMhjo\n1vNK1CoVTkXxWvbsTFQqFbdeEe21akSkswYW3geDfg1qzfH1iDe5HvxsLoyaBfoTG3P818BktGoV\nU7Pj+PNXRe7zdmsX+J33DnWDLL5nmDUquK5LOEadht2H6jnWaKdrlIHYkCCf7YUQQgjRscgUVYDL\nyMggNTX1jG36DLiOhOQUwLWKQ58BQ6htdmA0mZj72ntotFqqDh/irjHXcd+EUe664OLCAooKdlFf\nV8dP//yBpr3bSA1R2Hu09aULvqSkpWM1B8Oa5+GzZ04kvwB7f4QF0+CrN+Gbhcw0bMcS7Hq/d12q\nhWuTvFe08FC+h0E+bsBrdjiJMevdKzt0jTKSkxhKfKjc6CaEEEJcKiQBDnBms5kXX3zxtI+HhUeQ\nlpHJfz75DPMWLuGvH32GogtGDRxuaObnLZtx2F3lEw67nUMVZe5ro+PiiYlP4J7xN/L0f97HhLG3\ncPPI64nQ2rE5nGccl9NHKcapjCYTLyxcgkrl+2msbm6Enz9Du+0zho64wX1epVLxyKBkwg1n+ADk\n/7/K9h9/8DjlcCqU1NiIk5leIYQQ4pImJRCC7OxsUrqkUbSnwOO8WqPh2NEj3Dl6CE6Hg6TOXfjL\nwuUMSgihqsGOCqjvP8S1g1xzs1e/0x58lPLSEkr27XWfKygowHDsAM2GdPQnLY9b02Sn0aGgArRq\nFc0OhQa7g+SwM8+sVlcdRVF8J9N//Our1NVWk5XTl/LSEgxGk7v+ONyg49kbunDP8nzvC79+B01l\nIX0HDfU47VAUksKCCDrNxhZCCCGEuDTIK7nAbDaz6euNLFy8lLhk12oNEVFWnMc3uGj5d//ePRir\nD2DUaYgPDSLarCc+NpYPvviO3Cn3ePX71otzCY2OJSnlRIlFWloaPXtkoijQZHclrpX1NmpsDuJD\n9MSH6Ik161GpQH8OawanpKWTnJoGQGJKqrtUIzEllbSMTGxNTTx63xT3MmeHK0/sLNc10sjbI2OJ\n58T6xnz8e/hxBU88/yqRVs+a48ZmJ2mRnjf+CSGEEOLSIzPAAnAlwWNGDCU27X9QDhcTa43i6quv\ndu/yBhAdHU2/7F7uY41aRY8YM3vLjrJ5w5defVaWHWTT+i/4cu0atvzzn1gsFrKzszGbzfTUNLOl\npAalyU59s5PMaBPpUa4b1uqbHYQFaympbsLmcKI/w2oKRpPJvZVzy/JqRQW7CLWE8x83D/WYmS4v\nPcD0iWN4b/UGjCYTB/YVcc+oITidDlRqNZFRVg5VlJOYkkqfAYM9vk+93YHVrMekl18ZIYQQ4lIn\nr+bCTatWcW1aLKTFsnXrVo/kF8BoNHpdE6xVY64qpKJkn88+X3/6CTYs/YDFixd73GwXpFWjVkGE\nUY9ZryHhpKXJjDoNRp0Gi0HLjyU1OBUnwWcoOzCaTGRm9XYfZ2b15vOli32WZVSWlfLFyk8ZdP2N\nzLz9FpxOV4yK08mI3PEMGDqSlLR0r6XaDtc1c3VC6HlvyiGEEEKIi09KIIRPGRkZpKd7blhRVFRE\nXl6eV9uWFRFOZ9euXRQUeNYXG3Qa+iWHcWWcma5RRp99GHQa+nUKQ6tpfdLZd9BQtLrja/KesuTa\nS3Me5/5JYzh2yvJvi99+nZj4BK/kt8ZmJ8kSLOv6CiGEEJcJeUUXPpnNZhYvXozVanWfS01NJSMj\nw6ttt27d0GpPfJig0Xgms2q1moMHD1JbW+tx3qDT+NxlzeNaleqsCbYvkdZolqz/nrsfepSBw0Z6\nPV5xsNTrezudDr7/ZoPHOZvDiVGnoVes7OomhBBCXC4kARY+1dbWkpubS2VlpfuczWbz2TY/Px+7\n/cQWwpGRkUREnNg9zul08uCDDzJkyBCvJPhchBu07hvmWjTanTTaz7yUWkN9PW+9+Azfrl/r8/FT\nd73T6nQeKz/Yna7tjXvHh7Rq4w4hhBBCdGySAAuf8vLy2L9/v8e5AwcO+CyBOHUmtaKigiNHjni1\nKygo8Hn92ViCtdTbHRyqb8bmcFLX7OBYkx2NSkW93eHVvtbmwOFUWP3xh+f8PSZOvY8l67/3WPmh\npKaJcINOkl8hhBDiMiMJsPDp5BrglpKGtLQ0nyUQvXv39rjBLSoqymefCQkJPq8/G4NOQ6RRT5BW\njd3pmv0dlGIh1KDBZndSYzuRBNudCia9hiaHk9TMrHPqPzzSyl0zfueR/DbZnQRp1HSVZc+EEEKI\ny44kwMIns9nMhg0bWL16NZ06dTpr22+++YbVq1ezatUqvvzyS686YIB58+ZhNretlrZXrJlwg5Y6\nm51Ysx6DTkO3KBMGrca9a1xJdROH6pvpHm3iyvgQMq8ZiDU2/qx9P7fgQ68b3+qaHcSF6Iky6ds0\nXiGEEEJ0XLIMmjgts9mMwWCgsLAQOFHCkJOT47PtwIEDAVf9cExMDKWlpe7H4+Li6N+//3mNJ0ij\nJtqsp0fMiSQ6Kz6EHWW1HKpvJiEsiPQoo3vJtJt6JhK87EsKtv3IF6uXs3HNCp/9Vh+r8jg+0mBH\nq1bJlsdCCCHEZUpmgMUZnVwKkZ6efk4lDHl5eR7Jr9Vq5ZNPPmnz7G8Lk15DbIjnjGywVk12Qghq\nFYQEaT1WjNCoVWR3imbwsGE8N/cpdC3Lop2Fw6kQG6In2iyzv0IIIcTlSBJgcUYtpRDr169nw4YN\n55TEZmRkkJaW5j4OCQnxuYlGa8WHBhFj9p6VVatUDO4cTpcI73rdSJOezGgzXZMT2LFjB7Nnz/bs\nMzGZ6C6Zp1yjo2vk+Y9XCCGEEB2TJMDirMxmMzk5Oec8g2s2m5k3b577uLCw0GsjDH/TnMMObTEx\nMQwfPtzj3JznXiAxykKj3Umzw8nBmiYijdqzrk8shBBCiEuXJMDigsjOzvYonTh5RvhiOrWkY/iA\nPmREm7A5FA432Lk2OYyksOCLPEohhBBCXEhyE5y4IFpKJ/Ly8sjIyKCuru5iDwnwHlfLrPYVsSZq\nbQ4shnOrExZCCCHEpUsSYHHBtJROAB0mAQbPcbUIN+gIl+RXCCGECAhSAiGEEEIIIQKKJMBCCCGE\nECKgSAIshBBCCCECiiTAQgghhBAioEgCLIQQQgghAookwEIIIYQQIqBIAiyEEEIIIQKKJMBCCCGE\nECKgSAIshBBCCCECiiTAQgghhBAioEgCLIQQQgghAookwEIIIYQQIqBIAiyEEEIIIQKKJMBCCCGE\nECKgqBRFUS72IPzp2LFjF3sIQgghhBCigwgLC/M6JzPAQgghhBAioEgCLIQQQgghAsplVwIhhBBC\nCCHEmcgMsBBCCCGECCiSAAshhBBCiIAiCbAQQgghhAgokgALIYQQQoiAIglwG61cuZIe+CnAAAAM\nIUlEQVSbb76Z3NxcJk2axPbt2wF44403uOGGG7j++uuZP38+p95juGnTJnJzc736UxSFRx99lLff\nfrtdxn++/Bn/6frqyPwZ/4cffsioUaMYPXo0999/P4cPH263ONrK389/gPXr19O7d+8LPnZ/8Gf8\nc+fOZciQIeTm5pKbm8tDDz3UbnG0lT/jz8/PZ8qUKdxyyy2MHTuWHTt2tFscbeWv+FesWOH+f8/N\nzWXo0KH06NGDQ4cOtWs8reXP//9169YxZswYcnNzufPOOykuLm63ONrKn/F/8MEHjBw5ktzcXB5+\n+GGqqqraLY62am38+/btY+rUqeTm5nLTTTfxzjvvuPvatm0b48aN48Ybb+Suu+6ioqKi/QJRRKvt\n2bNH6d+/v1JeXq4oiqJs3LhRGTx4sLJx40YlNzdXqaurUxobG5Xbb79d+fzzzxVFUZSGhgZl3rx5\nSk5OjjJq1CiP/goKCpQpU6YoWVlZyltvvdXu8bSWP+M/XV8dmT/j3759u3Ldddcp1dXViqIoyty5\nc5Unnnii/YNqBX8//xVFUfbu3asMHz5cufLKK9s1lrbwd/y33nqr8uOPP7Z7HG3lz/jr6+uV/v37\nKxs3blQURVHWrVunjBw5sv2DaoUL8fxXFEWx2WzKrbfeqnz00UftFktb+DP+hoYGJSsrSykqKlIU\nRVEWLlyo3HPPPe0fVCv4M/7NmzcrAwcOVA4ePKgoiqIsX75ceeCBB9o/qFZoS/yTJk1SPv74Y0VR\nFKW6uloZMWKE8t133ylNTU3KoEGDlK1btyqKoiiLFi1S7r777naLRWaA20Cv1zNnzhyio6MB6Nmz\nJ4cOHWLt2rWMHj0ao9FIUFAQY8eOZdWqVYDrnV9DQwNz58716m/RokVMmDCBG264oV3jaCt/xn+6\nvmw2W/sG1Qr+jL9nz5588cUXhISE0NTURHl5ORaLpd1jag1/P/8bGhqYNWsWs2fPbtc42sqf8dts\nNnbu3Mlbb73FmDFjeOCBBygtLW33mFrDn/H/4x//ICkpicGDBwMwbNgwXnzxxfYNqJX8/fxvsWDB\nAiIiIpg0aVK7xNFW/ozf4XCgKAo1NTUA1NXVERQU1L4BtZI/4//ll1/o168fsbGxAIwYMYINGzZc\ndq9/48ePZ/To0QCEhISQnJxMaWkp27dvx2w2c9VVV7nbbd68m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      "text/plain": [
       "<matplotlib.figure.Figure at 0x22502f76a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm_prophet.plot(gm_forecast, xlabel = 'Date', ylabel = 'Market Cap (billions $)')\n",
    "plt.title('Market Cap of GM');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WHjgT1D3furUzdMJ5oaU1iCYLwPPmzfu9CL0eTz31VMB27du3x7vvvttYZRER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\nQoi0IgFYCCGEEEKkFQnAQgghhBAirfw/s5a+5XldKk0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22505300278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tesla_prophet.plot(tesla_forecast, xlabel = 'Date', ylabel = 'Market Cap (billions $)')\n",
    "plt.title('Market Cap of Tesla');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Effect of Changepoint Prior Scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Try 4 different changepoints\n",
    "for changepoint in [0.001, 0.05, 0.1, 0.5]:\n",
    "    model = fbprophet.Prophet(daily_seasonality=False, changepoint_prior_scale=changepoint)\n",
    "    model.fit(tesla)\n",
    "    \n",
    "    future = model.make_future_dataframe(periods=365, freq='D')\n",
    "    future = model.predict(future)\n",
    "    \n",
    "    tesla[changepoint] = future['yhat']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lSpVwd3dn0KBBKoExpI1NfTvtbTdu3ODVq1e0bt1a7fjkBg0asHbtWi5fvqzSDZ/dkBZ1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\nAsWAKkmSpEAxoEqSJClQ/gS/ObuTkbIo+QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2250a441f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create the plot\n",
    "plt.figure(figsize=(10, 8))\n",
    "\n",
    "# Actual observations\n",
    "plt.plot(tesla['ds'], tesla['y'], 'ko', label = 'Observations')\n",
    "colors = {0.001: 'b', 0.05: 'r', 0.1: 'grey', 0.5: 'gold'}\n",
    "\n",
    "# Plot each of the changepoint predictions\n",
    "for changepoint in [0.001, 0.05, 0.1, 0.5]:\n",
    "    plt.plot(tesla['ds'], tesla[changepoint], color = colors[changepoint], label = '%.3f prior scale' % changepoint)\n",
    "    \n",
    "plt.legend(prop={'size': 14})\n",
    "plt.xlabel('Date'); plt.ylabel('Market Cap (billions $)'); plt.title('Effect of Changepoint Prior Scale');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "58    2011-02-11\n",
       "115   2011-05-05\n",
       "173   2011-07-28\n",
       "230   2011-10-18\n",
       "288   2012-01-11\n",
       "345   2012-04-03\n",
       "403   2012-06-26\n",
       "460   2012-09-17\n",
       "518   2012-12-11\n",
       "576   2013-03-07\n",
       "Name: ds, dtype: datetime64[ns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gm_prophet.changepoints[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "152    2011-02-03\n",
       "304    2011-09-12\n",
       "456    2012-04-19\n",
       "608    2012-11-27\n",
       "760    2013-07-08\n",
       "911    2014-02-11\n",
       "1063   2014-09-18\n",
       "1215   2015-04-28\n",
       "1367   2015-12-02\n",
       "1519   2016-07-12\n",
       "Name: ds, dtype: datetime64[ns]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tesla_prophet.changepoints[:10]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Do Google searches correlation with changepoints? \n",
    "\n",
    "Use data from Google Trends on searches of Tesla to see if there is a connection between searches and the changepoints."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MXixv24rQRaFDLe2iaXGMjsOxmZLf/4jNoGs5+/qZM9vFpQkgRqMRnU4n2abX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\nmxzBdyc8r7Hfqxaj9xRjqBHl9SKKB0gXLUTxcGGkj99gdt111xEeHu7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7RX+u1xE5N6VF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\nkcFMIpFIJHWe/x95X5As/k5xJQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x225052efbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load in the data \n",
    "tesla_search = pd.read_csv('data/tesla_search_terms.csv')\n",
    "\n",
    "# Convert month to a datetime\n",
    "tesla_search['Month'] = pd.to_datetime(tesla_search['Month'])\n",
    "tesla_changepoints = [str(date) for date in tesla_prophet.changepoints]\n",
    "\n",
    "# Plot the search frequency\n",
    "plt.plot(tesla_search['Month'], tesla_search['Search'], label = 'Searches')\n",
    "\n",
    "# Plot the changepoints\n",
    "plt.vlines(tesla_changepoints, ymin = 0, ymax= 100, colors = 'r', linewidth=0.6, linestyles = 'dashed', label = 'Changepoints')\n",
    "plt.grid('off'); plt.ylabel('Relative Search Freq'); plt.legend()\n",
    "plt.title('Tesla Search Terms and Changepoints');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compare Forecasts\n",
    "\n",
    "We want to determine when Tesla will overtake GM in total market value. We already have the forecasts for two years into the future. We will now join them together and determine when the model predicts Tesla will pull ahead. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "gm_names = ['gm_%s' % column for column in gm_forecast.columns]\n",
    "tesla_names = ['tesla_%s' % column for column in tesla_forecast.columns]\n",
    "\n",
    "# Dataframes to merge\n",
    "merge_gm_forecast = gm_forecast.copy()\n",
    "merge_tesla_forecast = tesla_forecast.copy()\n",
    "\n",
    "# Rename the columns\n",
    "merge_gm_forecast.columns = gm_names\n",
    "merge_tesla_forecast.columns = tesla_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>gm_trend</th>\n",
       "      <th>gm_trend_lower</th>\n",
       "      <th>gm_trend_upper</th>\n",
       "      <th>gm_yhat_lower</th>\n",
       "      <th>gm_yhat_upper</th>\n",
       "      <th>gm_seasonal</th>\n",
       "      <th>gm_seasonal_lower</th>\n",
       "      <th>gm_seasonal_upper</th>\n",
       "      <th>gm_seasonalities</th>\n",
       "      <th>...</th>\n",
       "      <th>tesla_seasonalities</th>\n",
       "      <th>tesla_seasonalities_lower</th>\n",
       "      <th>tesla_seasonalities_upper</th>\n",
       "      <th>tesla_weekly</th>\n",
       "      <th>tesla_weekly_lower</th>\n",
       "      <th>tesla_weekly_upper</th>\n",
       "      <th>tesla_yearly</th>\n",
       "      <th>tesla_yearly_lower</th>\n",
       "      <th>tesla_yearly_upper</th>\n",
       "      <th>tesla_yhat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2010-11-18</td>\n",
       "      <td>47.010790</td>\n",
       "      <td>47.010790</td>\n",
       "      <td>47.010790</td>\n",
       "      <td>44.199936</td>\n",
       "      <td>51.794806</td>\n",
       "      <td>0.995675</td>\n",
       "      <td>0.995675</td>\n",
       "      <td>0.995675</td>\n",
       "      <td>0.995675</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.753254</td>\n",
       "      <td>-2.753254</td>\n",
       "      <td>-2.753254</td>\n",
       "      <td>-0.174349</td>\n",
       "      <td>-0.174349</td>\n",
       "      <td>-0.174349</td>\n",
       "      <td>-2.578905</td>\n",
       "      <td>-2.578905</td>\n",
       "      <td>-2.578905</td>\n",
       "      <td>-0.880723</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2010-11-19</td>\n",
       "      <td>46.968638</td>\n",
       "      <td>46.968638</td>\n",
       "      <td>46.968638</td>\n",
       "      <td>44.296424</td>\n",
       "      <td>51.625326</td>\n",
       "      <td>0.987344</td>\n",
       "      <td>0.987344</td>\n",
       "      <td>0.987344</td>\n",
       "      <td>0.987344</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.806887</td>\n",
       "      <td>-2.806887</td>\n",
       "      <td>-2.806887</td>\n",
       "      <td>-0.199652</td>\n",
       "      <td>-0.199652</td>\n",
       "      <td>-0.199652</td>\n",
       "      <td>-2.607235</td>\n",
       "      <td>-2.607235</td>\n",
       "      <td>-2.607235</td>\n",
       "      <td>-0.924506</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2010-11-22</td>\n",
       "      <td>46.842182</td>\n",
       "      <td>46.842182</td>\n",
       "      <td>46.842182</td>\n",
       "      <td>44.298147</td>\n",
       "      <td>51.644842</td>\n",
       "      <td>1.165547</td>\n",
       "      <td>1.165547</td>\n",
       "      <td>1.165547</td>\n",
       "      <td>1.165547</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.801310</td>\n",
       "      <td>-2.801310</td>\n",
       "      <td>-2.801310</td>\n",
       "      <td>-0.116490</td>\n",
       "      <td>-0.116490</td>\n",
       "      <td>-0.116490</td>\n",
       "      <td>-2.684820</td>\n",
       "      <td>-2.684820</td>\n",
       "      <td>-2.684820</td>\n",
       "      <td>-0.889382</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2010-11-23</td>\n",
       "      <td>46.800030</td>\n",
       "      <td>46.800030</td>\n",
       "      <td>46.800030</td>\n",
       "      <td>44.325526</td>\n",
       "      <td>51.718720</td>\n",
       "      <td>1.175756</td>\n",
       "      <td>1.175756</td>\n",
       "      <td>1.175756</td>\n",
       "      <td>1.175756</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.835354</td>\n",
       "      <td>-2.835354</td>\n",
       "      <td>-2.835354</td>\n",
       "      <td>-0.126682</td>\n",
       "      <td>-0.126682</td>\n",
       "      <td>-0.126682</td>\n",
       "      <td>-2.708672</td>\n",
       "      <td>-2.708672</td>\n",
       "      <td>-2.708672</td>\n",
       "      <td>-0.913576</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2010-11-24</td>\n",
       "      <td>46.757878</td>\n",
       "      <td>46.757878</td>\n",
       "      <td>46.757878</td>\n",
       "      <td>44.363670</td>\n",
       "      <td>51.603003</td>\n",
       "      <td>1.271512</td>\n",
       "      <td>1.271512</td>\n",
       "      <td>1.271512</td>\n",
       "      <td>1.271512</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.857582</td>\n",
       "      <td>-2.857582</td>\n",
       "      <td>-2.857582</td>\n",
       "      <td>-0.125857</td>\n",
       "      <td>-0.125857</td>\n",
       "      <td>-0.125857</td>\n",
       "      <td>-2.731726</td>\n",
       "      <td>-2.731726</td>\n",
       "      <td>-2.731726</td>\n",
       "      <td>-0.925954</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 37 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date   gm_trend  gm_trend_lower  gm_trend_upper  gm_yhat_lower  \\\n",
       "0 2010-11-18  47.010790       47.010790       47.010790      44.199936   \n",
       "1 2010-11-19  46.968638       46.968638       46.968638      44.296424   \n",
       "2 2010-11-22  46.842182       46.842182       46.842182      44.298147   \n",
       "3 2010-11-23  46.800030       46.800030       46.800030      44.325526   \n",
       "4 2010-11-24  46.757878       46.757878       46.757878      44.363670   \n",
       "\n",
       "   gm_yhat_upper  gm_seasonal  gm_seasonal_lower  gm_seasonal_upper  \\\n",
       "0      51.794806     0.995675           0.995675           0.995675   \n",
       "1      51.625326     0.987344           0.987344           0.987344   \n",
       "2      51.644842     1.165547           1.165547           1.165547   \n",
       "3      51.718720     1.175756           1.175756           1.175756   \n",
       "4      51.603003     1.271512           1.271512           1.271512   \n",
       "\n",
       "   gm_seasonalities     ...      tesla_seasonalities  \\\n",
       "0          0.995675     ...                -2.753254   \n",
       "1          0.987344     ...                -2.806887   \n",
       "2          1.165547     ...                -2.801310   \n",
       "3          1.175756     ...                -2.835354   \n",
       "4          1.271512     ...                -2.857582   \n",
       "\n",
       "   tesla_seasonalities_lower  tesla_seasonalities_upper  tesla_weekly  \\\n",
       "0                  -2.753254                  -2.753254     -0.174349   \n",
       "1                  -2.806887                  -2.806887     -0.199652   \n",
       "2                  -2.801310                  -2.801310     -0.116490   \n",
       "3                  -2.835354                  -2.835354     -0.126682   \n",
       "4                  -2.857582                  -2.857582     -0.125857   \n",
       "\n",
       "   tesla_weekly_lower  tesla_weekly_upper  tesla_yearly  tesla_yearly_lower  \\\n",
       "0           -0.174349           -0.174349     -2.578905           -2.578905   \n",
       "1           -0.199652           -0.199652     -2.607235           -2.607235   \n",
       "2           -0.116490           -0.116490     -2.684820           -2.684820   \n",
       "3           -0.126682           -0.126682     -2.708672           -2.708672   \n",
       "4           -0.125857           -0.125857     -2.731726           -2.731726   \n",
       "\n",
       "   tesla_yearly_upper  tesla_yhat  \n",
       "0           -2.578905   -0.880723  \n",
       "1           -2.607235   -0.924506  \n",
       "2           -2.684820   -0.889382  \n",
       "3           -2.708672   -0.913576  \n",
       "4           -2.731726   -0.925954  \n",
       "\n",
       "[5 rows x 37 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Merge the two datasets\n",
    "forecast = pd.merge(merge_gm_forecast, merge_tesla_forecast, how = 'inner', left_on = 'gm_ds', right_on = 'tesla_ds')\n",
    "\n",
    "# Rename date column\n",
    "forecast = forecast.rename(columns={'gm_ds': 'Date'}).drop('tesla_ds', axis=1)\n",
    "forecast.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualize Trend Only and the Forecast"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bN26Ei4sLypYti9GjR2c5lzcpV64c9u/fjxkzZuDQoUNQqVSoX78+pk2bhurVq5txBkRk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\n/QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22506ed94a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "plt.plot(forecast['Date'], forecast['gm_trend'], 'b-')\n",
    "plt.plot(forecast['Date'], forecast['tesla_trend'], 'r-')\n",
    "plt.legend(); plt.xlabel('Date'); plt.ylabel('Market Cap ($)')\n",
    "plt.title('GM vs. Tesla Trend'); "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rr5D+119QBgWZK12Ts70NuoiIiIhIU2YmPJs109msdHKCtG9frW2KypWRoeV0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\n1NtKSCYyTVyXL1+Ohg0bIiIiAoULF+btCw4OxtKlS1GjRg1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FBNBqgeXL+XVZhwxRo2jR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\nB8jN7rnQRGxWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x225052e4438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 8))\n",
    "plt.plot(forecast['Date'], forecast['gm_yhat'], 'b-')\n",
    "plt.plot(forecast['Date'], forecast['tesla_yhat'], 'r-')\n",
    "plt.legend(); plt.xlabel('Date'); plt.ylabel('Market Cap (billions $)')\n",
    "plt.title('GM vs. Tesla Estimate'); "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tesla overtakes GM on 2018-02-03 00:00:00\n"
     ]
    }
   ],
   "source": [
    "overtake_date = min(forecast.ix[forecast['tesla_yhat'] > forecast['gm_yhat'], 'Date'])\n",
    "print('Tesla overtakes GM on {}'.format(overtake_date))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forecast with Uncertainty Bounds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Only keep years 2011 onwards and from before 2020\n",
    "forecast = forecast[forecast['Date'] > '2010-12-31']\n",
    "forecast = forecast[forecast['Date'] < '2020-01-01']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hhBD5niStQgghhBAi35OkVQghhBBC5HuStAohhBBCiHxPklYhhBBCiAKgcuXK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\nIYQQQgjh9CRpFUIIIYQQTu//AdpK2F4qLPFXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2250901fc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create subplots to set figure size\n",
    "fig, ax = plt.subplots(1, 1, figsize=(10, 8));\n",
    "\n",
    "# Plot estimate\n",
    "ax.plot(forecast['Date'], forecast['gm_yhat'], label = 'gm prediction');\n",
    "\n",
    "# Plot uncertainty values\n",
    "ax.fill_between(forecast['Date'].dt.to_pydatetime(), forecast['gm_yhat_upper'], forecast['gm_yhat_lower'], alpha=0.6, edgecolor = 'k');\n",
    "\n",
    "# Plot estimate and uncertainty for tesla\n",
    "ax.plot(forecast['Date'], forecast['tesla_yhat'], 'r', label = 'tesla prediction');\n",
    "ax.fill_between(forecast['Date'].dt.to_pydatetime(), forecast['tesla_yhat_upper'], forecast['tesla_yhat_lower'], alpha=0.6, edgecolor = 'k');\n",
    "plt.legend();\n",
    "plt.xlabel('Date'); plt.ylabel('Billions $'); plt.title('Market Cap Prediction for GM and Tesla');\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "## Trends and Patterns\n",
    "\n",
    "Now, we can use the Prophet Models to inspect different trends in the data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6No/RI0yNaWlRuK13BAJVTUuWVVa1vZYsOV6nAl5aWhreffddvPDCC1Cr1QCA+vp6vP76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\nOkDUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22508ffbe10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm_prophet.plot_components(gm_forecast);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QqJJDKZNyjjw7PC7gjRs3DuPGjQMAmM1mPPjgg5g+fTrKy8sRGhqKDRs2uLlCIiKiluWP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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22507f83208>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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QqJJDKZNyjjw7PC7gjRs3DuPGjQMAmM1mPPjgg5g+fTrKy8sRGhqKDRs2uLlCIiKiluWP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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22507f83208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tesla_prophet.plot_components(tesla_forecast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "These graphs show that Tesla tends to increase during the summer, and decrease during the winter, while GM plummets during the summer and increases during the winter. We could compare GM sales with these graphs to see if there is any correlation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "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>Year</th>\n",
       "      <th>Jan</th>\n",
       "      <th>Feb</th>\n",
       "      <th>Mar</th>\n",
       "      <th>Apr</th>\n",
       "      <th>May</th>\n",
       "      <th>Jun</th>\n",
       "      <th>Jul</th>\n",
       "      <th>Aug</th>\n",
       "      <th>Sep</th>\n",
       "      <th>Oct</th>\n",
       "      <th>Nov</th>\n",
       "      <th>Dec</th>\n",
       "      <th>Total</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017</td>\n",
       "      <td>195909</td>\n",
       "      <td>237388</td>\n",
       "      <td>256224</td>\n",
       "      <td>244406</td>\n",
       "      <td>237364</td>\n",
       "      <td>243151</td>\n",
       "      <td>226107</td>\n",
       "      <td>275552</td>\n",
       "      <td>279397</td>\n",
       "      <td>252813</td>\n",
       "      <td>245387</td>\n",
       "      <td>308539</td>\n",
       "      <td>3002237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2016</td>\n",
       "      <td>203745</td>\n",
       "      <td>227825</td>\n",
       "      <td>252128</td>\n",
       "      <td>259557</td>\n",
       "      <td>240449</td>\n",
       "      <td>255209</td>\n",
       "      <td>267258</td>\n",
       "      <td>256429</td>\n",
       "      <td>249795</td>\n",
       "      <td>258626</td>\n",
       "      <td>252644</td>\n",
       "      <td>319108</td>\n",
       "      <td>3042773</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2015</td>\n",
       "      <td>202786</td>\n",
       "      <td>231378</td>\n",
       "      <td>249875</td>\n",
       "      <td>269055</td>\n",
       "      <td>293097</td>\n",
       "      <td>259346</td>\n",
       "      <td>272512</td>\n",
       "      <td>270480</td>\n",
       "      <td>251310</td>\n",
       "      <td>262993</td>\n",
       "      <td>229296</td>\n",
       "      <td>290230</td>\n",
       "      <td>3082358</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2014</td>\n",
       "      <td>171486</td>\n",
       "      <td>222104</td>\n",
       "      <td>256047</td>\n",
       "      <td>254076</td>\n",
       "      <td>284694</td>\n",
       "      <td>267461</td>\n",
       "      <td>256160</td>\n",
       "      <td>272422</td>\n",
       "      <td>223437</td>\n",
       "      <td>226819</td>\n",
       "      <td>225818</td>\n",
       "      <td>274483</td>\n",
       "      <td>2935007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2013</td>\n",
       "      <td>194699</td>\n",
       "      <td>224314</td>\n",
       "      <td>245950</td>\n",
       "      <td>237646</td>\n",
       "      <td>252894</td>\n",
       "      <td>264843</td>\n",
       "      <td>234071</td>\n",
       "      <td>275847</td>\n",
       "      <td>187195</td>\n",
       "      <td>226402</td>\n",
       "      <td>212060</td>\n",
       "      <td>230157</td>\n",
       "      <td>2786078</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Year     Jan     Feb     Mar     Apr     May     Jun     Jul     Aug  \\\n",
       "0  2017  195909  237388  256224  244406  237364  243151  226107  275552   \n",
       "1  2016  203745  227825  252128  259557  240449  255209  267258  256429   \n",
       "2  2015  202786  231378  249875  269055  293097  259346  272512  270480   \n",
       "3  2014  171486  222104  256047  254076  284694  267461  256160  272422   \n",
       "4  2013  194699  224314  245950  237646  252894  264843  234071  275847   \n",
       "\n",
       "      Sep     Oct     Nov     Dec    Total  \n",
       "0  279397  252813  245387  308539  3002237  \n",
       "1  249795  258626  252644  319108  3042773  \n",
       "2  251310  262993  229296  290230  3082358  \n",
       "3  223437  226819  225818  274483  2935007  \n",
       "4  187195  226402  212060  230157  2786078  "
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Read in the sales data\n",
    "gm_sales = pd.read_csv('data/gm_sales.csv')\n",
    "gm_sales.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "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>Year</th>\n",
       "      <th>Month</th>\n",
       "      <th>Sales</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017</td>\n",
       "      <td>Jan</td>\n",
       "      <td>195909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2016</td>\n",
       "      <td>Jan</td>\n",
       "      <td>203745</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2015</td>\n",
       "      <td>Jan</td>\n",
       "      <td>202786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2014</td>\n",
       "      <td>Jan</td>\n",
       "      <td>171486</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2013</td>\n",
       "      <td>Jan</td>\n",
       "      <td>194699</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2012</td>\n",
       "      <td>Jan</td>\n",
       "      <td>167962</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2011</td>\n",
       "      <td>Jan</td>\n",
       "      <td>178896</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2010</td>\n",
       "      <td>Jan</td>\n",
       "      <td>145098</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Year Month   Sales\n",
       "0  2017   Jan  195909\n",
       "1  2016   Jan  203745\n",
       "2  2015   Jan  202786\n",
       "3  2014   Jan  171486\n",
       "4  2013   Jan  194699\n",
       "5  2012   Jan  167962\n",
       "6  2011   Jan  178896\n",
       "7  2010   Jan  145098"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Melt the sales data and rename columns\n",
    "gm_sales = gm_sales.melt(id_vars='Year', var_name = 'Month', value_name = 'Sales')\n",
    "gm_sales.head(8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aNYrhw4cDkJiYSGRkJJmZmXh7exMREUHz5s0B2LFjB2vWrMFkMtGjRw+mTp2K\nm5sbubm5REZGkpCQgMViYfLkyYSHhwNw5MgR5s2bR05ODoGBgcyePZvAwMCK/AgEAoGgwnFoVq1m\nmmON9DkeP36cNWvWsHLlStavX0+TJk1YtmwZW7duJTExkXXr1rFq1SrWr1/P0aNHAXjzzTcZNmwY\nGzZsYPz48UyfPh1Zlvnrr79Yvnw5S5cuZdOmTVy9epW1a9cCsHz5cnx8fNi4cSMff/wx8+bNIzk5\nmYKCAqZPn86UKVPYuHEjffv2JTIysqKWLxAIBJVHDUnl0KyjJgjH0NBQNm/ejJ+fH3l5eaSmplK7\ndm3i4uIYOHAgbm5u+Pv7c//99xMdHU1KSgpnz56lX79+ANx5553k5ORw4sQJ9u3bR1hYGAEBARgM\nBoYOHUpMTAwA+/bt4+GHHwYgJCSEnj17smfPHo4dO4avry+dO3cGYMiQIfz8889kZGRU1EcgEAgE\nlYJDs2p1C8ipQM2xQs2qbm5uxMXFERUVhYeHB+PHj2fv3r0EBwfbzgkKCuLUqVMkJycTGBiIwWBQ\n9KWkpJCcnEzDhg017QDJyckEBQXpXmN/H3d3dwICAkhNTaVOnTrFzv3kyZM3tPYbvb6qUBPWURPW\nADVjHWINFUOzS5eor9N+4fRprtStC1SPdTS/eBH7gnFJV69y2W7eJVlDmzZtnPZXeOHx8PBwwsPD\n2bZtGy+88AJGoxFJkhTnGAwGZFnWtMuybOvTawewWCyK62RZxmg0atrV1xVHcR+kM06ePHlD11cV\nasI6asIaoGasQ6yh4vB203/UNw4KwtSmTbVZh49qHcEtW1K3aN5lvYYKM6ueO3eOQ4cO2Y4HDRpE\nUlISQUFBpKam2tpTU1MJCgoiODiYtLQ0hSBU91lJS0uzaYshISG6fSEhIYr7mEwmMjMzFVqmQCAQ\n1EQcmVWrW0COOpWjRgTkpKWlMXPmTJuPLyYmhpYtWxIeHs7OnTsxmUxcuXKF2NhYwsPDCQ4OpnHj\nxsTGxgIQHx+PwWCgdevWhIWF8X//93/8888/yLLM1q1b6dOnDwBhYWFs3boVKDSxxsfHc9ddd9Gh\nQweysrL4448/gMJo144dO1KrVq2K+ggEAoGgUhDRqiWnwsyqXbt2ZcyYMUyYMAGj0Uj9+vWZN28e\nwcHBXLhwgVGjRmEymRg6dCjdunUDIDIyknfeeYdPP/0UDw8P3n33XQwGA23atOHpp59m0qRJmEwm\nbr31VkaPHg3A+PHjmTt3Lo899hgWi4UXXniBxo0bAzB37lxbKkft2rWJiIioqOULBAJB5eFAOFa3\nDY9rbJ7jiBEjGDFihKZ9ypTd/Y7qAAAgAElEQVQpuuc3bdqUpUuX6vYNGjSIQYMGadp9fHyYNWuW\n7jW33norq1atcn3CAoFAUAOoKZpjjUzlEAgEAkHl4NDnWM3yHGtkEQCBQCAoKwyHDuG2d2+126y3\n0qgpZlUhHAUCgUAfj//3/6gVHo7v0KH4jBlT2dOpFtSIaFVZFvs5CgQCgSM87OIQ3HfuRLp4sRJn\nUw2wWJBycnS7qpXmmJuLZJfaJ3t6goP8zbJACEeBQFB9MJsxnDmjaDJcuFA5c6kuOArGgWqlOVak\nSRWEcBQIBNUIKSkJyWRSttkV9yhPDL//jjE+vtC8V41wGKkK1SsgR21S9fEp19sJ4SgQCKoNhnPn\nNG0VIRw9Pv6YWn364PfAA3i99FK5369McSIcq5NZVS3kZT+/cr2fEI4CgaDaoCccDUWbDpQnnsuX\n2/7v8cUXWi2mCuMwGAegGu3KIcyqAoFA4IDK0hwlOwEsmUxImZnlfs+yosaYVdVCXghHgUAgKEQ6\nf17bVt7C0WRCys1V3lN1XKVxojlWK7OqunSc8DkKBAJBIZViVtUTLg5SI6oiTs2q1Uk4Cp+jQCAQ\n6KNrVrXboq48UGssUL00x5piVtUIeWFWFQgEAkCW9YVjOWuOuppXNRKOTqNVq1FAjjoISphVBQJB\nmSGdO4fnnDm4r18PFktlT6dESOnpuoLKkJ5erhqQ3j2rlebozKxanTRHtVm1nDXHCt2ySiAQVCJ5\nefjddx+G5GQAclJTyX/++UqelOtIOlqjrS8tDblBg/K5sV7aRnXyOdaUPEd1KofwOQoEgrLA+PPP\nNsEI4LFxYyXOpuTomVStlKdptbprjjWlfJxI5RAIBOWCISlJeZyQAKpSbFUZZ8LRUI7pHLpmyeqk\nOdYUs6rwOQoEgvJAUglHKS8Pw99/V9JsSo5TzbE8cx2rueboTDhWp4AckcohEAjKBb18QMPx45Uw\nk9JRWcJRunJF21iNhKNTs2o10hwr2qxaoQE50dHRrF69GkmS8PLy4uWXX6Z9+/YsX76cPXv2YDAY\naNeuHTNmzMDT05P09HQiIiJISkpCkiRee+01OnXqBMD+/ftZsmQJ+fn5tG7dmpkzZ+Ln54fZbGbh\nwoXEx8djNpsZNWoUw4cPByAxMZHIyEgyMzPx9vYmIiKC5s2bV+RHIBBUGpKdv9GK8dgxTEOGVMJs\nSo5edRwr5VkIoLr7HGtMEYCaWlv17NmzLFq0iEWLFrFmzRrGjRvHtGnT+OWXX4iNjeXzzz9n3bp1\nZGdns7EoUOC9996jS5cubNiwgdmzZzNjxgxyc3NJT0/n7bffZs6cOXz55Zc0atSIxYsXA7B161YS\nExNZt24dq1atYv369Rw9ehSAN998k2HDhrFhwwbGjx/P9OnTkavZ9jMCQWnRC1oxHjtWCTMpHZWm\nOVbzPMcqH60qy0jp6cUK6hrrc3R3d+f1118nMDAQgNDQUC5fvkx+fj75+fnk5eVhMpnIz8/Hw8MD\nk8nE/v37efjhhwFo27YtTZo0IT4+ngMHDtC+fXuaNm0KwPDhw4mJiUGWZeLi4hg4cCBubm74+/tz\n//33Ex0dTUpKCmfPnqVfv34A3HnnneTk5HDixImK+ggEgkrFoKM5Vhuz6rVrGJxUwqlwn2M1Csip\n0mbVnBx8Hn8c/xYt8OvVC0m1kbUC9TrK2edYYWbVhg0b0rBhQwBkWWbBggWEhYXRq1cvevbsyeDB\ng3F3d6dp06YMGzaMjIwMZFkmICDANkZQUBApKSnk5uYSFBSkaM/OziY7O5vk5GSCg4MVfadOnSI5\nOZnAwEAMBoNmvHbt2hU7/5MnT97Q+m/0+qpCTVhHTVgDlHwdnS9exKhqM/z9N6cOH0b28iq7iZUA\nV9fgdeYMtZ30F5w7V27fa/NLl/BUtWUmJ5NYdL+q/nu6NT3d4YPekpNjm3+Fr0OWaT5rFu7R0QAY\n//qLnDlzOPfyy7qnd87MVPx+/05JoUBVyKIka2jTpo3T/govApCTk8OsWbNISUlh4cKF7Nixg4sX\nL7J7927c3d2ZPXs2CxYsYMyYMUiSpLhWlmUMBgMWi0XTB2A0GnX7DAYDsiw7HM8VivsgnXHy5Mkb\nur6qUBPWURPWAKVYR0EB7hkZmmbJYqGt2YylEj6TkqzBLTFRcWxp2hSDXZvXlSvl9r366Dwj6nh4\n4NmmTbX4PXk6Sdcxms20qaR1eHz2Gd67dina6iYl4eVgHm6qyNrmt94K/v6247JeQ4VGqyYlJfHU\nU09hNBpZsmQJtWrVYu/evQwYMABfX188PDwYOnQov/zyCwEBAciyTKbdvmlpaWkEBQUREhJCmp2J\nJTU1FX9/f7y9vQkJCSHVzsSSmppKUFAQwcHBpKWlKXyM1j6BoKbjzOxorAamVXUwjqlbN2V/amr5\nlcPTq5BTjXyOVbEIgPHXX/GaNk3Tbrh4Uf8Ci0W7jpoSkJOdnc2ECRO45557iIqKwqvIjNOuXTv2\n7t2LyWRClmX27t1Lhw4dcHNzo3fv3mzbtg0ofCs4ffo03bt35/bbb+fIkSMkFr05btmyhbCwMADC\nwsLYuXMnJpOJK1euEBsbS3h4OMHBwTRu3JjY2FgA4uPjMRgMtG7duqI+AsFNiPTPP07306uweTiJ\n5qwOQTnqYBxL69bIdlqDZDYXBnWUAzU5WlUqKIAKDkqULl/GZ/Ro3WAgh8IxJwfJbp6ytzcY1U6C\nsqXCzKqbNm0iKSmJuLg44uLibO3z58/ns88+47HHHsPDw4M2bdrw6quvAvDqq68SFRXFyJEjkSSJ\niIgI/IqcsG+88QbTp0/HZDLRqFEjIiIigMLgnAsXLjBq1ChMJhNDhw6lW9FbZmRkJO+88w6ffvop\nHh4evPvuuy6bVQWCkuI5axZe8+cj+/uTvXo15j59Km0uesE4tr5qoDka1GbVJk2w1K+PMSvL1ial\npiLXq1fm99bbsqraaI4WiyZ4SHZzQ7I3tVZkUI7ZjPfTT2NwkJYjXb0KWVkKcylUfBoHVKBwHDNm\nDGPGjNHtm6ajXgPUq1ePDz/8ULevd+/e9O7dW9Pu5ubGlClTdK9p2rQpS5cudW3CAsENIKWk4Llw\nYeH/s7Lw+uADsitROOrlOFopd83RYsFw4gRycDBy3bqlGkKtOcqNGyMHBcFff9napJQUcCG4rqRU\na81RXVXGqnHZC/wKrJLjFh2N+969Ts8xXLyIpRjhSDmncYCokCMQlAuGM2eQ7HxgznaUqAicao4X\nL4JOsE6ZYLHgM3w4tXr1olbXrhgPHizVMBqzapMmyPXrK88pr3SOapzKoSm55uOD7O6uPKcCNUe3\n775THJvuuAPT7bcr2nRNqxW8IwcI4SgQlAtq/1dlaxrF7VpRXkE5xoMHbZqClJmJx4oVJR/EZEK6\ndEnRZGncGItKOJZXrmO1LgKgDmLx8QEPD2VbBQblSHYBlgD5o0ZhadZMec6FC9rrKsGsKoSjQFAO\naIJDKlnTUGuOsqcyc8+ZadVw7Bhu335bKt+UWuNzGHDhBOnSJSSz2XZsCQwEHx+N5mgvHA1//IHH\nypXOk8pdwWzW1RKrjeaoJ1RUmmNlCke5dm0sRfnvVvR+I0I4CgQ1BOmff5THlbz7gVpzNPXqpTh2\nFJTjvnkzfr174ztsGL7DhpU4slH9MHSaVuAAPZMqUOhztD+vaI3G+HhqhYXh/fLL1OrRA8/33y/9\n1lx6wThQbTRHXbOqSnOsSLOqZBdABYXCUXZBOGpM28LnKBBUTzRm1ZycCg+ZV9xftV2V6Z57FMfG\novrDajw++sgWQu/23XcYSlpuUfUwLI3GpReMA0UapP3YRZqjp13QnVRQgFdkJL79+hXuX1lCHKVB\nVLaZ3GX0zKoqq0FFBuS4ojlKrmiOwucoEFRPJL0Al8oq8izLml0rTKrIWcPx41rhXVCgMbc6i3rV\nQ60pON0hwgGuao5W4agX9OP266/4hYXhsWxZie7tcL7VRDhqinVXtllV9XvA398lzVGYVQWCGoLa\nrApUnt/x6lWFeU329MTSqZPiAWPIyNBol4aEBE2itq7Qd4LmYVgKs6q6Oo4zs6p04QIGnYAOKNT2\nvKdNw237dtdv7khzzM8HOz9oVUVjVvX1rVyzaik1R2FWFQhqCHrVWirLFKfWGuXgYDAYMKtyAtVa\novHIEc1YGmFXDBrNsQzMqlbhqDGrpqVptEa1IABwj4lx+d66BQCsVAftUc+sWlmaoyyDauNo2d8f\nuX59ZLfrKfeG9HTNvIXmKBDUEHRLmVXSw1RtCrUU7VpjCQ1VtBtcEY7qAJvi7q0+Pzu7xL5XjXAs\n8jlSq5ZiNxEpJwc3u+pbAPlPP03O228rxyvBzg1OS69VA+GoESp6qRwVpTlevarI/ZWtgtpoRA4J\nUZxqUKXuCJ+jQFBDMOiYVSvrYaqOVLWaI83t2yva1bmOhrIQjmrNUZZL9pJgNmtKx8lF+7giSZp0\nDuv2R1ZMPXtSMHSoos148qTLAtqpj7QizOTXrt2Q+VbXrKoKyKmoSGqNSdWuCo6lUSPluWrTuPp7\nEJqjQFA9qUqao0HlS7Rqjmrh6JLmWFKzqo4wLYlpVTp3TvFSYalbV1GCTl0IQL1W8223ITdsqNg1\nXsrMdL1ggBOzankLFY/ly/Fv3Zpa7dph3L+/dINUIbOqXhqHleJyHXU14HJGCEeBoKwxmXSFSFXT\nHC16mmPRHKXkZN1ybDeqOQIl2qXEqDKBWtq2VRyrNUfFuQ0aIDdqBAYDFtXuO66mdTj1OZaj5ihd\nvozXG28gXbuGITUVbwf1oosdR0eoVFZAjjPNUW7QQNFXrFlVaI4CQfXDoQCpLM1R7XMs8u/I9etf\n999RqAkZf/oJ0Nca4cYDckBr6nOGWoipN2VWR6zaY+7RA4o2ODerhKpa6DqisnyOxu+/V2imxoQE\nDKdPl3gcXV9dNdAcNRGr6u9B+BwFgqqL2/bteI8ZU5g7Z19kXC+Ng6qnOSJJmIr2QbViLQyt52+E\nEmqOFosmOhEokcalDp5RCzm1WdUeU48e189TCVWXCwJUks/RLT5e2/a//5V8IFeKAFSUcHSmOap8\njup0HKE5CgTVBMOhQ/g++SQe27bhPW0a7ps32/ocbrpbRTRHucjnCGC6+25Fn1U4OtQcSyIcr1xR\nbFBrG6MkZtXiNEcnwtF8223Xr1MJVVcjVitLc3T74QdtWymEo0tm1WqgOQqfo0BQTfDYskVxbJ9C\n4Eg4Vlaxak0qh50pUi0cjb/8AtnZZWJWdXRuicyqxfkcHZhVZTc3zJ07247NKqGqFroAZGZqtKhK\n8TlmZWE4fFjT7PbddyVOu9CLVq00s6r6xco+WrWEATnCrCoQVFHU0YP2pktHZtWKrGFpw2zWRGba\nCxS5cWPMLVvajqWCAtz27XNodiyJ5uhQkLoqHDMyFEFBsocHFmsaRxHqQgBWzB06KKqoWFq1Qi7y\nP0JhFKy9cPOMjMS/RQtq3XILxu+/v36es2jVctIc3X76SZEPaD8Xq0/YZVzZsqqiAnLUmqO9WTUk\nRPH9GFJSlEJbmFUFgmpAVhbGQ4cUTfamy6qkOUqXLysetJaAAI3PSe139FixQrFFlIKsLIV/1em9\nb1Bz1ESqtmoFdpVUwLHmaLbzNwLg7X09P5LCfEvDX38V/v/MGTw/+ADJYsGQno7Xe+9dv86ZCbic\nhKNRx99oxa1ob0xXcWlXjoqqkKNTOs6Gu7vC3A8o9vAUZlWBoBrg9uOPmjd7heboSDhWgs9RbVJV\nP4AAzCrTqruTB7Aky05z/xTnOtAyXX1JKC5SFUogHHEcseq2b5/CN2pvyq0Mn6Oev9HWV0K/o2b+\nvr5azbGiigA40RyhMPXGHls6h96emhUgHN2KP6XsiI6OZvXq1UiShJeXFy+//DLt27fn22+/ZdWq\nVeTn59OgQQPeeust6tSpQ25uLpGRkSQkJGCxWJg8eTLh4eEAHDlyhHnz5pGTk0NgYCCzZ88msMjE\nsmrVKnbt2oXZbGbAgAE888wzSJJEeno6ERERJCUlIUkSr732Gp06darIj0BQA3DTSciWUlMLK5kY\njVUqIEdTV1VHmKj9jsUhZWZqHmy65zkyq7oYkFNcpCqAHBCAbDRqNF094Whp0wZiY6+PXyR83ezM\nqFD0XcoySFLF11bNzS30+zrAeOgQ0uXLyPXquTZeFSo8rld0XHHcsCH89pvt2HDxImbQXQOG8tfr\nKkxzPHv2LIsWLWLRokWsWbOGcePGMW3aNI4dO8a8efOYM2cO69evp0mTJnzyyScALF++HB8fHzZu\n3MjHH3/MvHnzSE5OpqCggOnTpzNlyhQ2btxI3759iYyMBOD7779nz549fP7556xbt45ffvmFPXv2\nAPDee+/RpUsXNmzYwOzZs5kxYwa51aA+oqBqoVetRDKbbb7GKqU5OqiOY48cFKQpQu50TBeDcm7Y\nrKrWHFWJ/AAYDMgqv6OlXj0szZtrTtWkcxSVkVO/7EgFBdd3H3GmOZbUTJ6dXWgydfL5GX/5RWHm\ntDRpgrljx+v3lGVN/Vhn6Jojq0qeo1pzVEesFqVzVEYaB1SgcHR3d+f111+3aXehoaFcvnyZnTt3\nMnjwYBoWfTDjx49n9OjRAOzbt4+HH34YgJCQEHr27MmePXs4duwYvr6+dC6KRhsyZAg///wzGRkZ\nxMXF0b9/f7y9vfH09GTQoEHExMRgMpnYv3+/bby2bdvSpEkT4p3Y9wUCDTr+RitWE2Z10xzBufZo\nUe+b6GJQjkMh6qpZtZhIVSvqdA7zbbfZkv8V7ToRq4YzZ/T3Dyz63JymnZTk+8zIwC88HL8HHsC/\nY0ekM2d0T1PnN5ruvJOCe+9VnlOcadVqIrZY9M2RlRWQU4zmqK6vav1e9PymFUGFmVUbNmxoE4Cy\nLLNgwQLCwsK4dOkSvr6+TJ06lYsXL9K6dWteeuklAJKTkwmy+8MMCgoiJSWF5ORkgu3egN3d3QkI\nCCA1NZXk5GR62JlUrNdkZGQgyzIBAQGaPlc4WYJK/uVxfVWhJqzjRtZQ+/vvqe0gIOXSb7+R5elJ\n6KVLuOv0ZyUnc7YMPz9X1tHkxAm87I5TjEaSda6r07o1OnoZZh8frrZqRW27v5NLx4+T6SS/0Eqj\nM2dooNOeefEi54rm4GgNkslE17//VrQlSBIWnfPb+Ppi/5hNadmSSzrnubm50UUxYAKXv/ySWjr3\nv/Dbb1w1GOiqV8TAuo4in5gr30PDZcuoXXSelJnJtffe43zRc06xlj17FN/XxVatyGvcmFvsT4qN\n5WRCguYFwJiZSavp0/FJSCB16FAujRtHN7t+s6cnJ//6i8D0dJrbtWcVRQSX9992p3/+wWh3/Pfl\nyxTY3bOuwUBLu/7shAT+PnkS7xMnuNWuPc/d3eFcS7KGNjo+bHsq1OcIkJOTw6xZs0hJSWHhwoXM\nmDGD7777jsWLF1O3bl0++ugjoqKieP/997FYLEh2PwBZljEajZp2a5/BYECWZc01eu32fa5Q3Afp\njJMnT97Q9VWFmrCOG12D1+rVDvsau7lR0KYN3g7MhrU9PMrs83N1Hd4qk1m9W2/FX+c6qV495OnT\nNUn7cocOeKve6Bv5+RHkwr29jEbd9gB3d7zatHG6BkNCAgY7P6KlQQNade2qe67nnXfCgQO249qP\nPoqf3ritWyPXrm3TYIy5uTR2YKJs6ulJQcuWGJ1oh3W8vTmHC88Gk4lau3YpmupduoS3+jqTCX9V\nfmm9hx/G0qwZ8tSpNg3KIzWVW0wmTW1crylT8Czaz7LBf/9LHTtzLIDk50ebNm1wL9oP00rtom2/\nyvtv2131d9G8Sxeodf3VxKgKHvPPyqJNmzYY09IU7R516+rOtayfTxUarZqUlMRTTz2F0WhkyZIl\n1KpVi8DAQHr16kVgYCAGg4GBAwdypOgHEhISQprdB5OWlkZQUBAhISGk2uU/mUwmMjMzCQoKIjg4\nWNGXmppKUFAQAQEByLJMpp1qbx1PIHAVZ7sj2ExxjnyOlZDnqKmrquNzBJDr1sXSoYOm3dyhg8b8\nVRFmVY1J1clDL3/SJAr69cPSsCG5M2didiBEkSRNUI86GMd2akpKsYFDrvoc3b7+WlNIW6+2q+HI\nEUUAkCUwsHDdnp7aSkZq02pBAe5btyqaPOfOVZ5jNUdWhlm1oEBhHpUNBk0iv6aEXNFnVuN9jtnZ\n2UyYMIF77rmHqKgovIreVu699172799PRpEDPC4ujtCiTVjDwsLYWvSFJycnEx8fz1133UWHDh3I\nysrijz/+AGDHjh107NiRWrVq0adPH2JiYsjJySE/P59du3bRp08f3Nzc6N27N9u2bQMK3zJOnz5N\n9+7dK+ojEFR3nPgboUgQOdiRA6gQn6N08SJu27ZdD2ZQp3I4eRnU8zta9ITjjQbkuBCt6kqkqhW5\nfn2ubdzIlWPHyJs61em4zoSsYo6pqcXP08Xv0+OzzzRthvPnNVGYakFt7tXLZjo13XOP8lxVuo3b\n/v0YVC9l6l1VrEJFVgXkOMtzNJw8iddbb+H++ec3tq+kXjCOypJnUW14LF26VHhP9fdQ03yOmzZt\nIikpibi4OOLsTBmLFy9m5MiRTJgwAVmWCQkJYebMmUBhcM7cuXN57LHHsFgsvPDCCzQu2kVg7ty5\ntlSO2rVrExERAcDdd9/NqVOnGDNmDCaTibCwMB566CEAXn31VaKiohg5ciSSJBEREYFfBZQhEtQM\n9PIb7ZFSUq5HOer1l3MRAOnMGfzCwzFkZCC7u5P36qtO66qqMYWF4blkiaLN3KEDRvWGxTeoOboS\nrVpcTdXS4kzI2mNwQTi68n1KZ886DKAx/PUXFjvTp14wju3/6qCc77+HjAyoU6fwePv2Yudi07hc\n1RxzcvAdMsQWGJOTmUn+888Xex89nJWOs+HtjaVuXdtG4ZLZXPg3VUmaY4UJxzFjxjBmzBjdvhEj\nRjBixAhNu4+PD7NmzdK95tZbb2XVqlW6fWPHjmXs2LGa9nr16vHhhx+6PGeBwB51yL+5eXOMdlGH\nhuRkx5GqUO7J1u7bt2MoEs5SQQFeUVGKftnNDdkuIE2NqVcvRc6gbDRibt8e49GjivNcFo6OziuN\nWdVFoVYcLmuOKSnFFjtwJTXH4/PPdYuvg0o4yrKmMo6pVy/b/y2tW2Np1gzD2bOF987Lw/Ozz8h7\n6SUwm3H/6qti5+LQrOpAc3T7/ntFJK/Hp5+WWjiq01fU1ghbe8OGYFd+0XDxov62WxWAqJAjELiI\n2t9YMHy44lhKSXEqHMtbc9RLSbBHDg52njxduzb5zz5rO8wfOxb8/LQJ/+Wd5yjLGs1RnYZRWlwV\nsnpmVVn92RUnHAsK8PjiC4fd9n5Hw6lTGC5fvn6vWrUUWiWSRL5KufBYtgzy8zH+8AMGVdCKHtYU\nCE0RAAcvbdbyerb5nj6NdP58sffRw9l2Vfao0zmkCxcqzawqhKNA4Ao6/saCoUMVx1JysuOi41Du\nmqNk93DVQ52vqEfu7Nlc3b6d7C+/JLcooKOsA3KKNVempiruIfv6FmoUZYCleXNkt+INZnpmVbXW\nXdzLjtvu3RqztuIedsLRaFcZBsDUvTuoon3zxo5VmBQNSUm4f/kl7jt2KK+9/XZFEW/b/EtoVlUL\nR9CvDuUKxeU4WtHbnaNaBORcvXqVvKI/8L/++ovVq1dzsCh0WCCoyaj9jeZbbsESGqrQJgwZGZoA\nGHvK3edYnHBs1qz4QdzcMPfpg+m++2wP51IJR7PZcem1Yj4HTU3V1q3LrlyYuzuWli01zWZVWoSU\nmqqZv7oST3EvOx4qt4/5FkW2IoZTp2z/VwtHc7duaKhTh/x//1vR5Pnxx7jv3Kmc1osvaqwagE3j\ncrXwuEGVZwrX9/ssKa5qjuqXIMOlS1VfOO7fv5+HHnqI33//nQsXLjB+/Hi2b9/OlClT2KLa204g\nqGmoIwlNd90FRqMm+tN44oTjQco5WtWgEo65r7xi0xZlDw/yn3mmVOOqH2QuRas6SZ4vzqyqTnMo\nK5OqFb0ydAUPPqgQGtK1a9pIX5VwdPayYzh9WlPAPbcoaNCK8dQpWzUbtVXC3EVRrsBG3sSJihcy\n47FjGOxKBMp+fpjuuYe8V17RaI+2yjLq8nGONMeyFI4u+hzVxcels2crZS9HKIFw/OSTTxgzZgw9\nevRgx44d1KtXj02bNjF79my+cGJXFwhqApo3+6JgCbVwNPz5p8Mxyru2qlpzzB81iiu//87V7du5\ncugQ5t69SzVuaTRHZ1G7ZGdfL3GmQ0lyHEuDXsSq6e67td/l6dOKY43m6OT7dN+wQTl+9+6Y+vdX\nlD6TsrJsBeuNv/+unKODXE25eXNMgwY5vG/BgAHg5YXllls02qMtUlm1ZZluQE5BgS34xx5DYiKS\nTntxuOxzVGn17rGxmvrAFVU+zmXhmJiYyIMPPogkSXz33Xf06dMHSZK45ZZbFEn3AkGNQ5Y1O7Nb\n3+zVSfWVpjnKskY4yvXqgbc35j59bshnVxrN0dk5kiw7NUmWV6SqbTyVsJXd3TH36IFFVRJPLRzU\nGys7e9kxHjumOC4YNQoMhsI9Ke3vcfIkhpMnFdq0JTAQuShlTY88JxGjBYMH2/6f+8YbNh+epU4d\n8ouEpSbPUee7MCQmOtzTszR+R1c1R3PPngq/o5SdjVvRxhG2a6uaWTUwMJCEhAROnjzJX3/9xV13\n3QXAjz/+aKuZKhDURKTz5xUJ1rKvr+0NV6NtFCXf646Tn39DidROuXZN8bCWPT3Lzvzk7a14oEp5\necUK+uIEqDPTanlFqtrGU21TZ+7RA3x8NAXMNZqjepsoJ2ZVdVSnddcT9VoMp05prRJduugWTrf1\n33Ybpjvu0LTLPj6FvmLrcbNmXN23j+wvv+TqL78gW3cqcSEgRy8Yx0ppTKuuao64uWn8qmohXeVS\nOUaNGsX06dMZN24cPZE1iqsAACAASURBVHr0oHPnzqxcuZJ58+Yxbty48pyjoCaSk6PZGbyqYlRr\njR062AJEHJVjc0g5RaxKqlB+uV49pw/Ykg0uldi0Wqx26ShiNScHKTHRdihLkkbbulEsHTuS/+ij\nheN7e5M7e3bh/4vRHOWAAIUfTyoocPiyo35JsqYoqNdiPHlSXzgWQ95zz2naCvr106Q5yPXrY7rv\nPqVgdyHPUc/faMVt/36nZnE9XNUcAfJHj9amzdhT1SrkjBgxgo4dO3Lp0iXuKHpr6dmzJ3fffTdt\ny9jsIajZGPftw+eZZzCkpJA3cSK5775b2VNyirGoTKEVe83DWTk2PaTc3HLxmRhUKSQub4brIrK/\nP9gJYCkry2m1nWI1x5wcXeFt+PtvRdK83KQJeHuXYsbOyVm+nLzp0wtLlhV9H5qtuVQvMrKfH3h5\nKTRGg56/Li9PkcIhS5LNrK3ZU/LUKU36j8PasHaYHnwQc8uWGO2EmMnOpOoMjVm1hJqj4fx5pLNn\nr2uiLuBqKgeA3Lgxpvvvx/3rr/X7q5pZFeCWW24hICCA2NhYsrOz8fHxoXkJPiCBwHD4ML6jRtn2\nGfT85BOFplAV0WiOdsnZzgSELuXkd1T7Gy1lLRxLqjkWZxVwYFZVP5TNehsclxGWli0VWogm4EaN\nnx+yl5eiyaBjCZBURcblkBBbhKhGOJ44of19uSAcMRrJnTPHpmGZO3emYODA4q8DlwJy1JqjOjfU\n7f/+z7V7FaF5WXJkVrVOSafCmW0uVU04/vPPP4wdO5bnn3+ed955h4yMDD755BMeffRRzp07V55z\nFNQQpEuX8B05UpM/pvbtVDWcaY7FJdZrglnKSzjqmVXLkhIG5RTb78CsalQJx7I2qTqjOCuA7Oen\n0WL1vk+Dyt9oX/XFrDarnj6tSAmxBAcjN9DbBVOLqV8/rv78M9kbN3L166+15lJH6AXkqMykauFo\nevBBxXFJg3JKojkCmO6/H4ujoKSq5nN8//33CQkJ4ZtvvsGz6M0jIiKC1q1b88EHH5TbBAU1hOxs\nfEeO1A1YcXWXh3InI8O27ZR9m8Hu5U82GrEUBVeAc81RliTNTgOu1BUtDbqRqmVIWfscHeUIqjXH\nihSOxb7o+Pq6pDlqhKP9Q97f36mfurhgHDWWVq0w9etXaO51FYNBowkqgl4KCjCorDn5o0crjkvs\nd9TblcMZRiP5Tzyh21XlUjl+/vlnnnnmGdtWUwB+fn5MnjyZ31U5OgKBArMZn2ee0eRyWXG1HFlJ\nMP74I759++Lbvz8GF36fbjEx+HfogH/btni99db1cVRao+WWWxQPImcPVLl2bc0fcnnt6aj2W5W3\ncCwumKq0ATmVKRzVATmafl9fjRDSFY6qF0D1PoV6RQisuBKMUyaoq+TY+R0NZ88qhKWlQYPCPFA7\nrdlw8aLToB0Fsqy/ZVUx5D/xBLKqhJ4sSeXig9bDZeFoMBjI1TEhpKWl2TRJgUAPzw8/xH33bof9\nZS4cZRnvSZNw+/VX3A4cwPull4q9xHPuXJu513PhQgxFeWoak6pqd3Vq1VI8NBTTqFtX+0ZfTpqj\nuvB0uQTk2FGs8FOb0dSaios+R2eCpKwpTji67HN0pjniPDXFJX9jWeAkKEfzHbRsCZ6emHv2VLQb\nXU3pyM5WCFvZy0vr99RBbtgQU//+ykY/v7KLwi4Gl4Vj//79ef/990lISECSJLKzszlw4ADvvvsu\n99nl1ggECmS5cPcAJ5S5WTUrSxHFZ/ztN3CyDyOyjPH4cUWT+6ZNhdeqgyVUOXJIkkNflRwQoHmY\nlpvPUR2QU1xwSQm5UbOq2vysa1bNyrIFakGhQLU0aVLCmZYeuW5dpykEupqjXjCLgzQO23EV0Bxl\nlXCyr6+q1gitOb3qzbBdzXcsSRqHGnVgTkmuvVFcFo7PP/88nTp1Yty4cVy7do0nnniCF198kZ49\ne/J8aff4EtR8srIUWo3s4UHexImKU8pac1QH/Eiy7HRvPiklRSO0PDZtAovFaaSqFUc+JDkgQKs5\nVpBwlOvWLdPxS6o5qvvVNTP1zKqah3Lz5uDCDhplhtHoNGJV9vXVWAlcCciRVQLekXC0NGxYGNla\nEajMqgaT6fr/Vd+DNYhIIxzj4nQjXaWLFzEcOmTzSbpcAEAHU9++in0tCx5+2OVrbxSXf3nu7u68\n+OKLTJgwgQsXLmA2m2ncuDE+FeQcFVRPDKrSgnJICObQUEVbWWuOepGQUlaWwz9KdfABFD7g3Pbu\nxaAqB6fRHHEc5SgHBGiqj1SU5lhsWkIJKXPNUcesWpmRqlbkwEBQB2VZcdXn6CRaFRzXijV37lyC\nmd4YznIddc2qFO4UIvv7275bw+XLuO/cqajh6rZ7Nz6jRyOZTBQMHsy1zz+/Ic0Ro5Fra9fivnUr\nso8PBY884vq1N4hT4fjzzz87vTjT7g+kR48eZTMjQY1CHf1pCQoq9f6ALt9TR0uUsrJwFFtncJCK\n5DV7tjIwoUkTqFNHc54mIrUIOSBAK/grSjhWsWhVjeaoY1atzGAc2z2DgjR1UaHIpGowaDRHjXDM\nylKsXfbw0LyoWJo1Q3Z31yTfV5i/EZwH5Dgwq+LuTv5jj+G5YsX1YVauvC4cs7PxfvFFpCIt1H3H\nDgxHj96Q5giFf0f5lVCFzalwnDx5skuDSJLEjz/+WCYTEtQsJLXmWL++9kFb1j5HB8LREY6KEGh2\nStDRGqEKaI5mszZatbLNquoHouoFQk+7t9/fECo2GMeKw+/SmnhejOao629U+zHd3LC0aKGtIVuR\nwtGR5pifr7Gk2O+UkT9unEI4uv3wA4Zjx7C0b4/HihUKnzEUBbSp7lWRfsMbwalwPHDgQJneLDo6\nmtWrVyNJEl5eXrz88su0t9tk9MMPP+TcuXPMnz8fgNzcXCIjI0lISMBisTB58mTCw8MBOHLkCPPm\nzSMnJ4fAwEBmz55NYNEb2qpVq9i1axdms5kBAwbwzDPPIEkS6enpREREkJSUhCRJvPbaa3Ry8MAT\nlA3qndAtwcHgghbitncvxu++w9S/P+bbby/RPR1pjg7n6GKFHkfC0ZnPUbO2cohWlTIylCXXatfW\n7tl3g5RIcywoUATcyAaDZscLPbOqI19XReIoYtUqHIuLVtX4G1UmVSuWVq20wrGi0jjQBuQYioSj\n4exZxabeloYNFVWELKGhmHr3Vuxv6vHZZ+TOnInnggWa+xiPH9dusl1CzbGyKJG322QykZqaiqXo\nw5Nlmfz8fBISEhgwYIDTa8+ePcuiRYtYvXo1gYGBfP/990ybNo2dRbtYx8bGEhMTw6233mq7Zvny\n5fj4+LBx40aSkpJ46qmnCA0NpW7dukyfPp2oqCg6d+7Ml19+SWRkJAsWLOD7779nz549fP755xgM\nBl544QVatGjB/fffz3vvvUeXLl0YO3YsCQkJvPTSS2zevFmRuykoW9RmVV3NUfWgNcbH4zt0aOH5\n8+dz9fvvsah2and6Twc+R0e4LBx1gnHAibZRty6y6uWgPPIcy7t0HJRMOGo+61q1Cv119rhiVlXt\n7VcRqIW4DRc1R0mtOTqo8mJp0waioxXnFZtKUpY4MKtqvoMWLTSX5j/1lFI4rl8PXl4YdPbwNPz5\nZ6EFxY7qojm6HK26d+9eHnjgAYYOHcrw4cMZPnw4I0aM4PHHH2fx4sXFXu/u7s7rr79u0+5CQ0O5\nfPkyBQUFnD59mtWrV/PUU08prtm3bx8PF0UnhYSE0LNnT/bs2cOxY8fw9fWlc5EDe8iQIfz8889k\nZGQQFxdH//798fb2xtPTk0GDBhETE4PJZGL//v228dq2bUuTJk2Ij4939SMQlAJNQE5QkNbnoHqY\nuts9NCRZdpojqUdFa46OquTIAQHafK7y0BzLu3QcJTOr6iV8a4ohqF5gpH/+UW4L5uXlUOsqTxxq\njkUlyzSpOcVojo6Eo3rD5YrUGgGHZlWNv1FHey8YOFBR/EK6cgXPjz7SvY3x+HFtzmtN0xyXLFlC\n3759efzxx3n66aeZP38+mZmZvP/++y5tWdWwYUPbvo+yLLNgwQLCwsIoKCjgrbfe4q233uK4Ktcs\nOTmZILsvISgoiJSUFJKTkwm2eyC5u7sTEBBAamoqycnJiuAg6zUZGRnIskyA3VuMtc8VTqo2YC0p\nN3p9VaGk62h1+jT276gXzWYyUlLobtcmZWVxMiHBltzb/K+/sBcpWcePk1iC+wafOYM6O+7y33+T\nVDSGYg2yTDfV1kT5QUF4qH4Xptq1Sbh2DXTm4Z6djV6cYeLVq9TKzsb+8Zhx6RLny+i3YF1HnSNH\nsPfOXf3/7Z15fBRVuvd/1dWdjSxk60QIyBYWWRVxAxNwdyIiOi4zMDNBhIvz0VwF2b1OQMABFIFB\nx+XqMDBRWRRHB8kdYAyMGHxVQAQJBGVAxGxIyNadXqreP3qh6tSp6k7SVd0dz/evdFVX9Tld6frV\ns5zniYvDyVD/vwkCRnKc333LNTaisqICICqYAEBCRQWkdr49Lg5nL1zAAMk2m9fa9c2hy9dfQ3rL\ntHXvjkqNzhB6kex0gtZjqBmesWa3tMiup6m1Vfb/1OvYMUjls8piQR3lWvCDBmFocjLM3geJU7fd\nhgYD7xG5Tiek9hvndKKyshI9DxyANOWoJiXF/7uR0r2gAJf95S8BP8f0/fdorqiQfSfVra2o1Wmu\nbbk/5QboExq0OJ47dw4vvvgicnJyMHDgQJw/fx75+fngeR6rV6/G+PHjgzqPzWbDokWLUFNTgzVr\n1mDJkiV44IEH0LdvX4U4CoIATlINQRRF8Dyv2O7bZzKZIIqi4hjadum+YAj0RWpRWVnZoeMjhfbM\nowthIWQNH46MK66AGB/vj0txbjdyu3XzFxROkKy5AoBUux2xbfjcWIqbPCMmBkm5uYo5cDU1MteY\nmJwM4ZFHgGXL5CcYMQK5aq3Zevakbs4ZPhxmQmRTExIQH4L/Bek8LJ9+KtuX0LOnPv9vSUkyKz83\nO5uavcufOyd7HZOZie7EeHx2pH8OX34p228ZNCgsvxmTSlm7hKws5ObmIoawZk2trbJxdiGs5syr\nrkKqyjxa9u+HZccOuIcPR9bVV6ON/V06RAJx3UwuF3Jzc5FAuOhTR41CEmX83JNPQly/XhbrViOV\nuK9n9uuHrjpc21DfZ4N2qyYlJfnLx/Xq1QvHveu/Lr/8cpwjfgxq+OKGPM/j5ZdfRktLCw4dOoS3\n334bkyZNwquvvopDhw7hiSeeAOBxpdZJXEZ1dXWwWq3Izs5GrcRd53K5cPHiRVitVmRlZcn21dbW\nwmq1IjU1FaIoypaf+M7H0A8ye80Xn9OKYZGZlxwRtwtEW2KOisy8Hj38jXClqMUbAQCxsRCIuAqg\nUiFHB7eq3qXj/OclXauUGBMQpFuVSMghM1X1bFWlRaCEHLKupyLmGGCNo+yc3brBMXUq3Fdf3Y6R\ndgy1CjnBrjUVe/ZUlnaDZymM89ZbZdsUTaM7W8xxzJgxWL58Ob799ltcddVV2LFjB44ePYqtW7ci\nM4hAcnNzM2bMmIFx48Zh6dKliIuLQ1ZWFj766COUlJSgpKQE//Vf/4URI0ZgtTfrKS8vD9u2bQPg\ncbGWl5djzJgxGDJkCBoaGnDYW/fygw8+wNChQ5GUlIT8/HyUlpbCZrPB4XBg+/btyM/Ph9lsxujR\no/H+++8D8DxlnDp1CiNHjqQPmNFxRFGxlMOX8KAVwyITTExVVW373DbEHBXi2LMnxF694PI29PYR\naIE2GXcUOc4zR9KKNSIhJ8QFAHwEm5RDLTJNJOSQDzCqa+sMpq3ZqrKYoyDARBgKqm2Xwg0tIcfp\nVIo7JSHHh4PIEQGA1lmzAi5J6XQxx5kzZ+LFF19ERUUFfvGLX6CsrAxTp05FfHw8Fi9eHPD4LVu2\noKqqCmVlZSgrK/Nvf+mll9CV4poBgOnTp2P58uV48MEHIQgCioqKkOP9Z1u+fLl/KUdKSgqKi4sB\nADfeeCNOnjyJwsJCuFwu5OXloaCgAAAwZ84cLF26FA899BA4jkNxcTESDeoN9rOksVG2rk+Mi/O4\n5tAOy1EUgy44TLUc1W7kFHEEAPvTT6PLhAng3G64e/WCM0DYQLRagYqKS6+7dvWUIzPActS7dJz/\nvEEm5dAqoiiKsxPfAx8BaxwBADExELp2VWRe+hJytLJVubo6mViKycmRu2yBTMhxucBduCBfxpGa\nKlvGQeK6+Wa4Bw4E7/2/Fy6/HI7CwoAJdJ1KHI8ePYrc3FwsXLgQAPDvf/8bSUlJmDZtGsaPHx+U\na7KwsBCFhYWa77nrrrtwl6SbdUJCAhYtWkR97+DBg7F+/XrqvilTpmAKpZN0eno6Vq1aFXCsjNCg\ncKlmZvoFTlUcXS7FjYlzOsH99FPQ7kKusVG5rQ2WIwC4x4xB0/79MB09CtcttwTsl0eudfSnrxtQ\nW1Xv0nH+8wZrOVKyEzXdqqIYVJakUYiZmQDpMg5inaOiAECkWo3wVO6RYnI6wUmyhYEgHrJMJrRs\n3Ii4Z58FRBH2Z57xdO8gykMqPrszuFUvXLiA3/72t5g6dao/rvi3v/0Ns2fPxpEjR3Dw4EH85je/\nwWnCp8yIYmw2xBcVIXHECMTNnw8QyTFtQVE6TiIgalaIahyrDa7VDsUcJck1Qm4uXPfcE1TncXKt\no08cjejKoXfpOP95O2A5KiyQ5uZLhalramTLb8TERNW1o0ZAc60GE3PkiDKEWvHGsENxqyqqLFHi\n6CRCbi5aNmxAy8aN/pqxQt++itqtsvNGieWoKY6vvPIKLBYL3n33XfTq1QtNTU149dVXMWrUKKxf\nvx7r1q3DhAkTsG7dOqPGy9AZy3vvIWbDBvD/+Q9i//xnmHfvbve5aKXj/H+rWCHkjd5Hm+KOHYw5\ntgeF5eh76ibdiTqIo2EJOR2JOZrNMmuFE0V/EoiibFzfvkG70PWA1sA6mAo50WQ5UsWxrZajGhaL\nanF1keP8oZVIR1Mc9+3bh6KiInT3PgGVl5fD4XDg3nvv9b9n3LhxOHjwoL6j/BnB/ec/sLz3nkJY\njIJs7ku+bgtqmaoAFLEYv+VIPL369+thOYqioui4otRVkIjEjdCflUtmBeoRcyS+Mz0q5ADtF0ff\ntSZdqybvd0FWZQlH2Tgp1KQcX6ycbFmlIY7hKGIQLFS3Kmk5quSCBIN74ED6jqQkZa3ZCEUz5lhf\nX49sScHgzz//HDzPyxbZp6SkwEHp6cVoO6Zjx5B4yy3gmpshJiej8bPPIJLdDHRGEa9TWfcV1LnI\nuqodsRzbsJyDViEHjY1+N57/fXV18hqgycmKuq/B4rztNgjZ2TBVVUE0m+F46CHPDtJyDHW2qs0m\nexgQzWbdkkCCLhhPsxwBT9xO4jbnvVa0YvlAmDJVfWi6VbUScoKsjhMRUCrkhMxyhKcGK41oiTcC\nASzHrKwsnPG6nQRBwKefforhw4fLMjwPHjyIywy+gXdWLJs2+W90XEMDYv76V8PHQIojzQpT4HaD\nLy8H95//yDYrSsdJY47kjySQ5fjjj4HH4Xsvza0qCAp3K22NY7vdeYmJaCovR8vrr6Np7164vY1h\nFZZjiN2q1HijTi7JjiTkAEqry+T9LhT1PMOVqer7/FC5VSPYcqS6VckM3SBijmqoWY7REm8EAojj\nL37xC6xatQoff/wxXnjhBdTW1uI+SWPLo0eP4s9//jNuueUW3Qf6c8BEiIv53/82fhBtFUdRRMJ9\n9yHxzjuRNGoUzKWll46l9HL0H0a6VX2Wo4o4Bm05iiI15ggoLZ1QxRv9H52aCuf998uLpHc05iiK\nCotXilHJOID6NVOMSa25rZpbNYIyVQF6tm8wlqOiI0cEW46kW5WakMMsR3UKCwtx/fXXY9myZdi5\ncyemT5/uF8JVq1bh4YcfxsCBA/G73/3OkMF2dsgfF//557oUqtZCYXVRWgtJMX31FSzedauc0ykr\nQEzryOH/W8UKMalZjsGKo90uW6slOwdx01Zb4xhKOpKtyv3wA7qMG4fkzEzEzZxJFUny+9JTHBWt\nxoLNVvVZjkQhAL84avQPDAfUTNlAhcedTkVcXPDWko5IglnK0QHLUejdW+E1AaLLctSMOfI8j6Ki\nIhQVFSn23X333SgoKMCAAQMoRzLaA+mW4RwO8P/v/8Gdn2/YGNrqVuW9ZQT9r7/+2r9gXyshR3Up\nRwezVanxRulnSJ6GQ205UiHXObbhYSd23TqYDx3y/P3mm3D++teKUmNkRw69quMAHcxWhYpbtaFB\nvowjNla3IgbBouVWVVvKwZ07J6szKlityo4sEQTNclQ8aHVAHMHzEPr399wPpOfsLJajFv369WPC\nGEocDmpGptGu1baKIykwXEODJz5IKx0nFUe1hBytbNUgihxrJRDp7ValYrFAlGTncW530GtH+c8/\nl702Ec1xgfC6VcnEGwAey11aJYbnL7lTSbeq3Q4TEUsWLrssrMs4gAAJOTExnuUIXkwuF+B2R9cy\nDkD3hBwA1GIA0WQ5RkdO7c8A7scfqRXuzXv3GjsOwvIKKI6UAhD8sWOapeMADctRTRxbWxV94ajv\no1THIT/DP3YjxJHjlHHHYKxHUVR0iqcmGhlUOg4IznKkxht9VZEIceRtNsUDodHZ2VS6dJGJm5CZ\neakQhMr1VMQbIzkZB1Am5HjLx0mhFdNvC7S448/CcmSEFvLH5YM/cEA1wSTkCIIiISdgzJEijqZj\nxzRLxwFttxyB4FyrWmIuu3GLolIc27nGMRDtyVjlqqqUMdJgxFFPtyotIUcUwf34I8w7dsB08qSq\nSxWgrHO025WFuiNBHAHYFy+GmJAAMTYW9uJi2do8Whw52ixHakJOCGOOAD1jNZrEMejC4wx9IX9c\nPjiXC+b9+z31PfWmuVlhvbbLcqyogPuqq2TbFHGcLl0g8rzHzQjv4niHQzXmCHiTctQWF/veo/Ug\nIe38Qa5xTEpq9xrHgKhkrHI//oi4P/wBXHMz7HPmQJB0/qC5UGkPSSYD3aqIjYUYF+cXd87thvmf\n/0TCI4/4LXahB9FmWiqolGxV0q0aEZYjAOe998J5552eBzoybkyJI0dV6ThAYTnyLS3y9bI83+H1\nslS3KhNHRltRsxwBT9zRCHGkFuzWEkeXCxxF1E0VFZql4zwn9rR0kj6tcvX1qrVVAcD0449wq4/G\nQ5CWY0jXOAaAZmmIAOKfeAKW//s/AAB/5Agav/jCHwsiE50AletDJuToKY7w3Nyklm9CYaHsIYOs\nOKRpOdpsir6OkWI5AlA+1HihZawqKi3p4aIPJYQ4WsgShKmpHf49iD17QkxIkF1jFnNktBmayPjg\nDYo7Uq0uLbE5e9Zv+UnhKyoU6xLJfoeA8inSdOaM6jIMILjlHMHGHA2JN/ogsxa94mIuL780ntOn\nYTp69NJrWvINza1q5FIOUFyrAeKnopblSHGrRorlqAnFcjT0/ykEkIXBLaQHooMuVQCAyaRwrYbk\nvAbBxDFC0LIc+a++CioZpaNQLROXC1ApD0hzqQKemzh/4IBsm0CrV0ncaE2nTmmOr8MxR2nPSANv\nZop6nHa7Z10cEZ8zS2oUUy3HYGKOBliObcE9ePClYyniqFgbGAXiqLieFHEUdYpfhwzScgxxpqoP\np6RojJCaCvc114TkvEbAxDFCUGS7STsYCALMn36q/yBUrC41wVETR0CZZUtbWK2wHAOIYzDFxwOu\nc/R9VjgtR5tNkfwAQPZAEVTMURCMF0cVt5jj179Gw4kTsK1aBVdeHoS0NDjHjoVj+vRLx1KyVRVL\nOSJ54bwPskrO2bPy+HViYoeKdhtCgDWYoRq/49FH0fLSS7DPmoXmf/1L1VUdibCYY4RAiqPrzjth\n+fvf/a/Ne/fCdeeduo5B1SXZ3AxQ3CGkwMj2kVmI7RBHafIHEGQhgGBjjmR2IZlIEkJonRxoWbl+\ncayvp5bLUwh/Q4PMrS0mJem+8JxmObrGjIFt9WogJgaOhx+G4+GH6QeTlmNLi8JVLkoaHUQqimIG\nxIOM0LNn2NdqBkKr3yIQQvenyQTnpEmhOZfBMMsxEmhslLn8RIsFDklbMMCYYgBq4tgey5GEajmS\nblWitqxAFJkIZczR0PV1tOxGijiajh0DmpsV6xt9kOKoyFQ1oLIMKV7ufv3QsnGjwk1HPZYQx9hz\n52TiLqSmKr+rSIR4AFGIo44PWiEjwPUKd5WiSICJYwRAq+bvvvFGWSUO/sgRzTWAoUBVHFXWOnZY\nHANYjmQquKm6OmCVnGDXOZJWqKCjxULLVqVdS04QwB8+DBMl3ghQqhcZWDrOh+NXv/JYqPCs5WvZ\nvDloK4OsrRpHxumiIN4IKC1HMj4c6ck4gHKdo2J/FCXO6IWhbtUdO3Zg48aN4DgOcXFxmDVrFgYO\nHIh169Zh3759MJlM6NGjB+bPn4/U1FTY7XYsWbIEJ06cgCAIeOyxxzB27FgAwJEjR7By5UrYbDZk\nZGRg8eLFyPDeHNavX4/t27fD7XbjjjvuwLRp08BxHC5cuIDi4mJUVVWB4zgsWLAAw4YNM/IroEJr\nkiqmpUEYMkRWm5D/97/hmjBBt3GoWl0qcTwttyoJLSFHYTmSgtW3L8TYWH85Mq652RMX1UgHD2qd\no9utLIpOyaYNGaQ1ZLerFgLgDxxQ70BCVi8K8aLtYBCGDUPj/v3gjx+H65prLlWOCQZSVIgHmaiI\nNwLKmCPZcisKxJFZjoExzHI8ffo01q5di7Vr16KkpAQPP/ww5s6diw8++AAVFRXYuHEj3n77beTk\n5GD16tUAgNdeew0JCQnYvHkz1q1bh5UrV6K6uhpOpxPz5s3DzJkzsXnzZtx0001YsmQJAGDfvn3Y\ntWsXNmzYgLfffhtffvkldu3aBQBYsWIFRowYgU2bNmHx4sWYP38+7CHur9ce1Jqkurw9AX3EvvJK\ncPVF24taqyeaLVe1ZgAAIABJREFU5WizycRMNJlUMxnF2FiqoAXKfBTT0xWiFbB1lZbl6G14zNXW\nypaMCOnpusbqaNmqtIQcAOAPHlS3HJuaZNdftTWUzojdu8N1001tE0Yo3aqK/VFqOZIPOp1CHJnl\naJw4WiwWLFy40G/dDRo0COfPn0fPnj1RVFSEGO/FGjRoEKq8N909e/bgnnvuAQBkZ2fjmmuuwa5d\nu/DNN9+gS5cuGO6tKDJhwgR8/vnnqK+vR1lZGW6//XbEx8cjNjYW48ePR2lpKVwuFz755BP/+fr3\n748ePXqgXLLWLFyQyTg+cXROnCjbbi4vh9nbHkoP2hJzVCz27tZNlrYv22e1UhMUAi0IFtLSFO7O\nQBmrmtmqbrdn4TkZb9TTagSUwtvaqtqai//yS3qmKrzLaqSd5zVKtUUkhFuVRE/XdkgJEBcVo0Ac\nAyXkCMxyNM6t2q1bN3Tzuk1EUcTq1auRl5eHqyRlxhoaGvDGG2/gXm8ySnV1NaySWJXVakVNTQ2q\nq6uRJbmhWSwWpKamora2FtXV1Rg1apTimPr6eoiiiFTJE5FvXzBUVla2b+JBHN/rm28g/blVxcSg\nrrIS6NoVuddfjxSJgItPP43Kv/xFNRvOUleH7A0bIFgsqJ48Ga42PAH2/uEH0Oyn6lOncN47ft88\nkj/9FEmS9zRbrbBddhkonfDQkpxMnX/XlhZo9Xw/a7PB2qULpDOo+eor/KRxE73ip580/6n5piZU\nVVTIxt6kMr5Q0c1mg9Rh+NPZs4ipqgJl5Sf4U6dksWaSU4cP+6/p+e++g7SC509uN37QcR4dxVJX\nh+Ea+6vMZs//fYTTraUFWg7gky4XXBE+D85ux0iN/WcaG9ES4XOg0ZbfcW5uruZ+w5dy2Gw2LFq0\nCDU1NVizZo1/+9mzZzF79mwMHz4c999/PwBAEARw0mLVogie5xXbfftMJhNEUVQcQ9su3RcMgb5I\nLSorKzWP70JYbJlXXolU7/v5pUuBm27y70s8ehSDvvsOrjvuUJyHq65G4sSJfks048cf0bJlS9Dj\nVHN6ZXfpgrTcXNk8Yvbskb0nduBAmK+6Cnj3XcXxsT16UOfPE2vcSLoNHYqYAweAjz/2b7tMFJGu\n8V3GEQULRLPZY3H5PrOpCTnENY/v27dD1zcQsUQsLb1LF/CUykI+aN1ZfPSxWiH26oXKykpkEk//\nqb16IUHHeXSYABZ65vDh/v/7SIa8nlLELl3Q++qrI34pBzT+/wAgZ/jwqLCApQS6z7YVQ7NVq6qq\nMHXqVPA8j5dffhlJ3qy3L774AlOnTkVBQQHmz5/vF7Hs7GzUSTLy6urqYLVakZ2djVpJ7U6Xy4WL\nFy/CarUiKytLtq+2thZWqxWpqakQRREXJUsmfOcLN2oxRwBwX3WVpwCyhLhly5SxR7sdCZMny1y0\nlp07FTVONcfRhpgjmakq9OxJrcIP0DNVgcBuQDE9XbF0oK0xR/J4vqnJ029Sgt5VWWhdOdqbeSxz\nfUebWzVAzDEaquMAyuxjKXrW6A0pPO8pLq4CizkaKI7Nzc2YMWMGxo0bh6VLlyLO+w9WUVGBOXPm\noLi4GJMnT5Ydk5eXh23btgHwuFjLy8sxZswYDBkyBA0NDTh8+DAA4IMPPsDQoUORlJSE/Px8lJaW\nwmazweFwYPv27cjPz4fZbMbo0aPx/vvvA/A8ZZw6dQojR2o5FwxAFKlLOaTYFyyQveYPH4b5ww9l\n54h/7DGYiea4QNvWR2oWASBQiOPll1P7twH0AgBA4CocYloaBMLaCLTWkRR4MgOSb2pS1n3VO9ZF\n6cqhlpATCOk1irqYo9msuYQgWhJytKq8REUyjg+VayGazW1OtuqMGOZW3bJlC6qqqlBWVoYySVKJ\nz6Jbt24d1q1bB8ATn1y5ciWmT5+O5cuX48EHH4QgCCgqKkKO16pavny5fylHSkoKiouLAQA33ngj\nTp48icLCQrhcLuTl5aGgoAAAMGfOHCxduhQPPfQQOI5DcXExEsP8T8DV1ck7pycnK1onCUOHwnHP\nPYjxCjsAxD33HJry84GUFMQ+/zxitm6lnt9cVgYnUVBAlbYk5FDEUUxPh2C1Kns5qlnnGjdzMTHR\n0yKJtBy1XLEul7zBMscpkm34piZlPU+dxVFhOaoUAQgGqfhHnTjCk7HKUWr1ihaLrr0oQ4mm5RhN\n4mixUBtvi2lp0WH96oxh4lhYWIjCwsI2HZOQkIBFixZR9w0ePBjr16+n7psyZQqmTJmi2J6eno5V\nq1a1aQx6Q3bjUOsD1zpvHix//7s/HsUfO4aUyy+nipEUMxEb1ByLmluVIo4cRRwBQBg4UDEeVctR\nSxy9bh1FtqqW5UiOPzFRsbyBb2pS9hAMh+VIdtOIiaGKBnl9o10ckZAAUNqSiVlZsobCEU0nsRzF\nmBjQJJC5VD1EyX9j50XRB06lg7gwcCCc3kQl2fGkEKWmylxXptOnwRFl2dRQdauSMceLF2GS3ODE\nmBi/S4za/ZvWkQPwuNlULHdfX8K2xBxJERe7dFEIBt/cbLzlSC4aP38enNMp2+++8krqsWTTaES5\nOKqtdYyaAgDoRJajmluVLeMAwMQx7ASKN0ppnTdPsQBZimixoGXjRkVbmKCsR6dTtTefoqYnaTX2\n6OF/6ndfcYVyXBpJT2o3dN8PVExL88RAfGNpaFBd6E+OU0xMVJzfXF+vbMSs9zpHsnwc2cMwLY0q\njkJGhuJmG9UxR0A1KScaCo770PwNRkNdVS9q8d+I7yhiEEwcw4yiVZWK5QgAQp8+aH7vPTgnTIC7\nf3/ZQl7RYoHtT3+Ce8wYuLwl9nwEUzhAc/E8YTkq2j1JetcJFMtRza0KqFd18bdeMpmCrpKjcP9S\nLMe4M2dkSyWEzExP7EVHFJYj6dZNTVVaiACE/v39dUx9RLtbVdVyjJZkHECzmhKzHDsPrGVVmAk2\n5ujDff31aLn+es8Ll8vjNj17FkKvXv4Gq678fMBbTg/w9lYUBO2YjkY3C9JSoyXj+Mc3cCBEjvML\nkJiYqJ14o2Y5SuIeQna2zMLmqqqAPn0CzoFmOcYRLmZDLBay3Bjp/k1Lo4qje8AARdagXxzdbqUb\nnBDSSKRTuFVVLEcxPj5qkooAqD4UspijB2Y5hhm10nFBYTZD6NsX7vx8Wedx95VXykTBdP48TEeP\nap5Ks9UTaTkS4ihbLNy1K5y//KX/pePXv9bMfAtoOULp9gzWcqSJYywZ4zXAYiGzVRX709Ig9Omj\n+C6E3FxlTNYrjmTRbjE5GdBYtxYxqLlVo8lyVIk5RkMfRymqblVmOQJg4hh2FB052iKOapjNcI0e\nLd8UwLWqKY6BYo4SYQYA25//jOa//hXNJSWw//GPmp+rKo6SH2iw9VWpMUeyLRZRGUT3eCMQsPu5\nkJYGmExwXX21bLt78GCFOPrmyJNzjQKXKqBhOUZTzFFNHKMo3ghA3a3KLEcATBzDi9OprNYSIveS\nIu64d6/m+7XEkcxW1Yo5ej7MDNeECXAVFARMzw+UkANQMlbVxJESc9Ry6QLG3JS1shuBSzej1qIi\nv5XpuuYaT09PUhy916mziaMYRW5VtYedqIo3AqriKDBxBMBijmGF+/FHeXJIVlbIWie58vNlr837\n9gEOh+oPQjMhRyo6ohjQcmwLapajIHGrKixHItvTTxDZqorPN8KdF6Q4uvPz0fjFFzB9/z3co0Z5\nkpFUEnKiVRzV3KqdwnKMMnFUdasycQTALMewoog3BkjGaQvCgAGyGw7X0gL+iy/UD9Byq7a2At7i\n3VxdnSwGKXbpIosPtpWgEnII8eVV4qcKtyolW5UkIixHqZXcowfcN9xwKVlCLeYYpeJIsxzF5OTo\nKlemcj2jrVA3S8jRholjGNEl3uiD4+DKy5Nt0oo7kssCFHitR8UC+pycjiUhBJGQ4x4ub3RkqqhQ\nFiYARRyTkqLDctRIgOhsMUea5RhVyzgAICaG2lYs2ixHtpRDGyaOBmPetQtx8+cjdsUKmEtLZftC\naTkCFNeqRtxRy60KXMpYVZQ96+APKZiYI7p2hbt370tjEQTwX3+tPIgWc4yN1cwWNcSdx/OazWV/\nTuJIsxyjThw5jhp3jLaEHLXfBbMcPbCYo4Hwn36KLpJlDiRtWsYRBKQ48p9/7nGfUtbDaSbk4FLc\nkSPqYnb0h0SLOYrx8QoLwz1iBPhTp/yv+UOH4L72WvkYKTFHwCMctNZdIsepl7YLNfHxgKRknGwc\nWuKoFnOkLeWIAqhu1WgTR3hc5bLwQlycZiWoiITywCbGxgZsLfZzgVmOBmL56CPN/aEWRzEnB27J\nYnnO7QZ/4gT1vYHE0WeVmUJtOdLEkXJO94gRstf8oUOK99BijoCGdWq1AmZjng+1rFfN75BmOQoC\nzOT1ihJx7BRuVUBhOUZNH0cJtIQcMTU16uahF0wcDUQ1yxIeK4YUgFBAlnMzffst/Y3BWo5EH8IO\nW46Um3pQ4vjVV4r30GKOap8BGFzPUy2Jg+O0a1nyvNLaam5WulVVYreRRmeyHKVEXbwRoFuOzKXq\nh7lVDYSsqem66ipwFy6AEwS0PvqorMpNqBCIMmum776jvi9sMcdgLUe1pBzpzZYWcwRUrSojlw+o\nlhxLSQlY2UZMTJS58LimJhZzDDeEJyDa4o0AqAk5TBwvwcTRQEyE5Wh75RUI/fvr+plC377yMaiJ\nI2E5CunpMJ0/f2mDiuXY0QXDtJu6QFsa0rUr3L16gffWRuUEAfyRI7IOJFoxRxqG3pQ7kPwgJiYC\nRE/HaBVHmls1qgoAeCEfdqJuGQforn4mjpdgblWjEEVlNRwDbs5u0nJUcasqOjwQZdX8blXScuzo\njyk+XpHJqWaNBoo70vo5ApHhVlW1HIOxvClxx2gVR6rlGEUFAPx0VrcqW8bhh4mjQXDnz8s6vYtJ\nSYZ0UWivW1VRlUanbFVwnMK1qiqORM9DhTi2MeZo6E1ZzXIM4makKD7e2Bi14khajqLJFH1ZnpD3\nLRU5jtpVJeJhblVNmDgaBJmMY5RLT+zeXeY+MV24oHCNAlC2eyKFQ6eYI6C8sbfLchRFRfk4RIPl\nGIxblbKcI1qXcgjp6RAlMVahZ0/DMoZDSesTT8B1441wZGTAvnix4iE0GqBlqwrMcvRj6H/ljh07\nsHHjRnAch7i4OMyaNQtXXHEF1q9fj+3bt8PtduOOO+7AtGnTwHEcLly4gOLiYlRVVYHjOCxYsADD\nhg0DAHzyySd4+eWX4XA40K9fPzz99NNITEyE2+3GmjVrUF5eDrfbjUmTJuG+++4DAJw5cwZLlizB\nxYsXER8fj+LiYvTq1cuQuSsa3BoV7zKZIPTuDb6i4tKm776De+RIyWBEZcyRtBy9whPqbFVAmZSj\nVo5OMynHZgMnCJfOERvrdxtFhOWolq3aDssxmt2qSEmBc9IkxGzYAJHj4Hj88XCPqF2I3buj+cMP\nUVlZidzc3HAPp32wbFVNDLMcT58+jbVr12Lt2rUoKSnBww8/jLlz52Lfvn3YtWsXNmzYgLfffhtf\nfvkldu3aBQBYsWIFRowYgU2bNmHx4sWYP38+7HY7Lly4gGeffRZ//OMfsXXrVnTv3h0vvfQSAGDb\ntm04c+YM3n77baxfvx7vvPMOjnprcT7zzDO49957sWnTJkyfPh3z5s2DKCn8rSd6dd8IBoVrlYw7\n2u3gvLVTAc8TJfkj4VpaPCKqh+VINIgV1Nxs3qQc/5i8STmAerwR0LAcDUzIUauv2q6YY309eOkC\ndI6LikbHPmxr1qBp924cfecdOKZODfdwfr6whBxNDBNHi8WChQsXIsN7Ixw0aBDOnz+P3bt34/bb\nb0d8fDxiY2Mxfvx4lJaWwuVy4ZNPPsE999wDAOjfvz969OiB8vJyfPbZZ7jiiivQ0xsEv++++1Ba\nWgpRFFFWVoa77roLZrMZycnJuPXWW7Fjxw7U1NTg9OnTuO222wAAN9xwA2w2G44fP27I/Mk6qmEV\nRyLuSM3ylIgLAKC5GaaWFrmIxscH7FUYDE6vZQ94CiG4r79e9b1qrlXFUhSJoFDXUvK8sV3bQ2k5\nEg9aSEoK2BosouA4uEeOhD0KXZGdCVpJQyaOlzDMrdqtWzd08wqCKIpYvXo18vLyUFdXh+uuu87/\nPqvVipqaGtTX10MURaRKLpZvn91uh1ViXVitVjQ3N6O5uRnV1dXIkmRaWq1WnDx5EtXV1cjIyIBJ\nchPxnW8gsVCeRmVlZYfm33j8OKS3x2qeR20HzxksGUlJ6CV53XzoEE5JPjv2++8xVLLfGReHHxsb\nIb11NVVVwXzxouy8zqSkDn8vAICRI5G0bh3izpzBhVtvhYtoiSUlOycH0jpCzXv34j/jxiH+xAkM\nlmy3Wyz+sSU1NmIAcR5nejoqVZKT9KBHaytobZXPtbbiQoDvsJvDAemjVHNFhex/yZGQEJrrEAai\nddxSonUOaT/9BPLx5HRjI2xROh+gbdcikDvc8Ei4zWbDokWLUFNTgzVr1mDBggXgJOWKRFGEyWSC\nKIqy7dJ9giAo9gEAz/PUfYHOFwwdiStUVlaiK+H2yxg+HF0NilXwkocPAEipq5PNx0SMzZyWhizi\nqT7ZZEI1sdyDz8wMXbzFex6NWjGez7zlFmDdOv/r1O++gyU3F3xdnex9Menp/rHxlOo/ppwcQ2NF\ncVk0aQSyBg9GRoBxxBDLBFKI+ZjT0qIy7hXV8Tov0TwHM6X1W48RI6Jy3SkQ+mthqC+mqqoKU6dO\nBc/zePnll5GUlISsrCzUSopC19bWwmq1IjU1FaIo4qLEWqmrq4PVakV2djbqJDfD2tpaJCcnIz4+\nHtnZ2dTzZWVloa6uThZj9O0zAkVCTgTFHMlkHDEpSRnnam5WWI7hcMGQblXT8eOeZJw2xhzJdZx6\noxpz1Cod53sPma1KZD5HS+k4RoTB3KqaGCaOzc3NmDFjBsaNG4elS5ciznuzyM/PR2lpKWw2GxwO\nB7Zv3478/HyYzWaMHj0a77//PgDPU8GpU6cwcuRIXHvttThy5AjOnDkDAHjvvfeQ5+1dmJeXhw8/\n/BAulwuNjY3YuXMnxo4di6ysLOTk5GDnzp0AgPLycphMJvTr18+Q+Ycz5hhoOQe1DyK5WLulBTwp\njuFI+yaTctxuT1JOG2OOhpcsC2ERALLSUtRkqjIiCyIhJ1Q5BJ0Fw9yqW7ZsQVVVFcrKylAmabr7\n0ksvYdy4cSgsLITL5UJeXh4KCgoAAHPmzMHSpUvx0EMPgeM4FBcXI9F7o/if//kfzJs3Dy6XC927\nd0dxcTEAT3LODz/8gEmTJsHlcmHixIm4yrtAd8mSJVi2bBnefPNNxMTE4LnnngvardoRTHY7OImw\niGazca2SgIDLOWiWo0gk5ESK5Qh421d5y8gBnqQcRTmvQJajwVVZVHvntSchx26X72fiyGgHispU\nzGqUYZg4FhYWorCwkLpvypQpmDJlimJ7eno6Vq1aRT1m9OjRGD16tGK72WzGzJkzqcf07NkTr7zy\nSvCDDhEWSV1MwHtjNji7UOjTRy6O336rKY5ktirX3AwzEXMM14Jh94gRgNejAAD8l18q3K0yV2Rc\nHMSYGFmFIsNLllGeyMWYGGVWMAVFhRxyPxNHRnsgigAwcZQTRfnf0UsM0Wg3HF0INJdzUFySpOWI\nSLIciTJy5t27lbVhifErqvAYfA2oRZ7T0oLqncfEkaEHQv/+smpFbm+BFYYHJo4GoLAcwyGOGt05\nqG5VIubItbSAJwUoXOJ43XUyQTDV1sL8r3/J30QICpn4EhGWY7CWd6AF/kwcGe1ATE+H7YUXIOTk\noPHKK2GfOzfcQ4oomDgaQAwhjkYm4/hQdOeQiiMpeklJigLRXEsLLDqUjmsXsbFw3nGHbJN5/37Z\na9JydN10k/9vIScHgqRwtBHQslWD/f6Y5cjQC2dhIRqPHMHx116DaFApzWgh+ir+RiEW0q0aBnHU\nWs5BjTmaTBATEmRNdhUWcBiLFDvvugsxmzer7icFxb54McTMTFysrET8ggUBGwyHHJo4Bvn9BRRH\ntpSDwQg5TBwNgLQcw+FW9S3n4FpbAVxaziGmpqq3eurSRSaOMVVV8veFMYDvuuUWhXjLIAUlLg6t\ns2fj+8pK5IbhCZlqOQb7cJGQANFkkhVWl52HWY4MRshhblUDUFiOYRBH33IO2Safa5WsIOOLcRGu\nVTMpouFsb5OQANctt6juDmRtGQ2tZZUQ7MMFxynFXnpuJo4MRshh4mgACssxTOWZ1FyrVLcqlHE7\nknCnfjvHj1fdF2jshqOWrRokZJUc2T4mjgxGyGHiqDduNyznz8s2hcVyhPpyDmpXDmgLjJiYSO0k\nbiTO22+nNmwFosNybMvDhdZ8mDgyGKGHiaPOcDU14Nxu/2shNTVsJZrUlnO0x3IMpiao7iQnwzVu\nHH1fpPU37EjMEUwcGQyjYeKoM4qC42GyGgH15Rxq4kjGHGXvCWe8UYLzrruo2yPNrdqhhBxANeYo\nBohHMhiM9sHEUWfIDgrhWMbh/2xazFEQFOLos7o0rZUIKTXlKiiQVfnwEWluVd0sx2hrdMxgRAns\nV6UzkWQ5UrtznD0rf09Cgn8NoKIzh4Rw1VUlEdPS4B4zRr7NZIq87gIdTchRsxyZS5XB0AUmjjoT\nSZYjbTmHZds22WtZVqRWzDFCLEeAkrWamBhUzVJD4TgIOTn+l2JKStsSclRiqKwAAIOhD0wcdYbs\nvRdWcQTguvFG2evYNWtkr6U3YS3LMVJijoAn7ih1rUpFKJKwz53raVfG87DPnw+Yg6/BwSxHBsNY\nmDjqTCS5VQHAMWOGJ4nDi+mnn2T7ZeKoFXOMhGxVL2J2NloXLoTI8xBjY2GfNy/cQ6Li/M1v0Hj8\nOBorKuCYMaNtBzNxZDAMhYmjznCEOIZrjaP/8/v2hUtj8bzsJhwlliMAtM6cicYTJ9Dw3Xdw3X13\nuIejipie3q5G16qWI3OrMhi6wMRRT0RR4VYNV3UcKa1FRar7ZJZjlMQcfYjp6UE1D45GmFuVwTAW\nJo560tAArrnZ/1KMjY0Ii8t99dVw3XADdV/Q4hgB8/g5oZqQw8SRwdAFJo46QsYbhcsui5gsytb/\n/m/q9mjMVv1ZwCxHBsNQDG9ZJYoiFi1ahH79+mHy5Mlwu91YuXIlDh48CAC44YYbUFRUBI7jcObM\nGSxZsgQXL15EfHw8iouL0cvbbuiDDz5ASUkJXC4XRo0ahaeeegpmsxl2ux1LlizBiRMnIAgCHnvs\nMYwdOxYAcOTIEaxcuRI2mw0ZGRlYvHgxMjIydJtrpCXjSHHdeivcgwaBP3ZMtj0as1V/DqgmRzFx\nZDB0wVDL8dSpU/j973+Pf/3rX/5tO3bswOnTp/HWW2+hpKQEBw4cwO7duwEAzzzzDO69915s2rQJ\n06dPx7x58yCKIr799lu89tpreOWVV7BlyxY0NTXhrbfeAgC89tprSEhIwObNm7Fu3TqsXLkS1dXV\ncDqdmDdvHmbOnInNmzfjpptuwpIlS3Sdb0StcSQxmdD6+OPK7cG6VSMoW/XnAIs5MhjGYqg4bt26\nFRMmTMDNN9/s3+Z2u2G32+F0OuFwOOB0OhEbG4uamhqcPn0at912GwCPRWmz2XD8+HHs2bMHeXl5\nSE1NhclkwsSJE1FaWgoA2LNnD+655x4AQHZ2Nq655hrs2rUL33zzDbp06YLhw4cDACZMmIDPP/8c\n9fX1us1XkYwTQZYjADh/+UuFYAfjVhWTk9u0Ro/RcVi2KoNhLIbe4WbPng0A+Oyzz/zb7rrrLuze\nvRsFBQVwu9249tprceONN+Lrr79GRkYGTJK6kVarFTU1NaiurkY3yU3dtx0AqqurYbVaqcdkZWX5\nt1ssFqSmpqK2thZdg7CCKisr2zzfnhUVkFbUrLFYUN2O8+hJ5m9+g8uXL/e/PtmnD1q9Y7TU1mI4\n5RhHYmK7vo9IIRrHztfX40rK9jMXL6I5CufjIxqvBUlnmAPQOebRljnk5uZq7g/74////u//IjU1\nFaWlpWhtbcXs2bNRUlKCoUOHgiOSV0RRhMlkgiiK1O0AIAiC7DhRFMHzvGI7eVwgAn2RNGKGDYPr\n++/hPnMGMXV1SBs+HMntOI+uzJsHW0YG+P374XzgAfSUWPWQPGRI4bOy2vV9RAKVlZXROXaHg7o5\nZ/BgCNE4H0TxtZDQGeYAdI55hHoOYc9W/fjjjzF+/HhYLBYkJiaioKAAX3zxBbKyslBXVycTwtra\nWlitVv8+H3V1dX5rMTs7m7ovOzsbtbW1/u0ulwsXL16UWZmhxvHf/43mf/4TX3/4IRpqauBSaa8U\nVjgOjmnTYHvjDbhuv12+T82tyjJVjScmhtrYmcUcGQx9CLs4DhgwALt27QLgEay9e/diyJAhyMrK\nQk5ODnbu3AkAKC8vh8lkQr9+/ZCXl4e9e/fip59+giiK2LZtG/Lz8wEAeXl52OYtpl1dXY3y8nKM\nGTMGQ4YMQUNDAw4fPgzAk+06dOhQJBnVFNdkir44ndnc8T6EjJBBizsycWQw9CHsd+snn3wSzz//\nPO6//36YTCaMGjUKv/3tbwEAS5YswbJly/Dmm28iJiYGzz33HEwmE3Jzc/HII4/g97//PVwuFwYP\nHuw/Zvr06Vi+fDkefPBBCIKAoqIi5HgLUS9fvty/lCMlJQXFxcXhmnbUICYkgLPb5duY5RgekpIA\nSS1c0WRijY4ZDJ3g6uvrxcBvY3SEaPbnJw0dCtP338u22efMQeuCBWEaUceI5muROHo0+KNH/a/F\nlBQ0nD4dxhF1jGi+Fj46wxyAzjGPThdzZEQ2tLWOzK0aHsgScsylymDoBxNHhiZUcWRu1bBAxhyZ\nODIY+sHEkaENpYQcsxzDg0IcWQEABkM3mDgyNGGWYwTBLEcGwzCYODI0YTHHyIG5VRkM42DiyNCG\nWY4RA3MeHKPqAAAH/0lEQVSrMhjGwcSRoQnZtkrkOHZTDhNCjx6arxkMRuhg4sjQRGGtdO3qqfbD\nMBzX3XfDPXAgAMCekwPn/feHeUQMRucl7BVyGBEOaTmyeGPYEFNT0VRWBtPp06hsbUXfCGuBxmB0\nJpgJwNCETMhh8cYwExcHYcAACPHx4R4Jg9GpYeLI0EQRc2SWI4PB+BnAxJGhiXD55fLXvXuHaSQM\nBoNhHEwcGZq4R4+G85ZbAACt2dlwPPJImEfEYDAY+sMSchja8DxaNm8GV1WFyvPn0S/KK/czGAxG\nMDDLkREYkwlit27UxscMBoPRGWHiyGAwGAwGARNHBoPBYDAImDgyGAwGg0HAxJHBYDAYDAImjgwG\ng8FgEDBxZDAYDAaDgKuvrxfDPQgGg8FgMCIJZjkyGAwGg0HAxJHBYDAYDAImjgwGg8FgEDBxZDAY\nDAaDgIkjg8FgMBgETBwZDAaDwSBg4shgMBgMBgHr59gOduzYgY0bN4LjOMTFxWHWrFm44oorsH79\nemzfvh1utxt33HEHpk2bBo7j/Mft378ff/rTn1BSUiI7nyiKWLRoEfr164fJkydH5TzUzhVNc9i8\neTPeffddcByHnJwcLFiwAGlpabrPIdTz8FFWVobi4mKUlZVF3RxWr16N3bt3Izk5GQBw+eWXY9my\nZVE1h5MnT+L5559HU1MTTCYT5s+fj0GDBuk+h1DOY/v27Xjrrbf8+5uamlBTU4N//OMfSE9Pj4o5\nAMDHH3+M119/HRzHITk5GQsXLkROTo7m5zNxbCOnT5/G2rVrsXHjRmRkZGDfvn2YO3cu5s2bh127\ndmHDhg0wmUwoKipC7969ceutt8Jut+Mvf/kLtm7diszMTNn5Tp06hRUrVuDo0aPo169fVM5D7Vwf\nfvhh1Mzh2LFjKCkpQUlJCRITE7FmzRq8+uqrmD9/vq5zCPU8fJw5cwZr166FKBpT4yPUczh8+DCW\nLl2KYcOGGTL+UM/Bbrfj8ccfx9NPP43Ro0djz549eOaZZ7Bly5aomkdBQQEKCgoAAC6XC9OnT8fv\nfvc73YUx1NfiD3/4A0pKStCjRw+89dZbeOGFF/Diiy9qjoG5VduIxWLBwoULkZGRAQAYNGgQzp8/\nj927d+P2229HfHw8YmNjMX78eJSWlgLwPMnYbDb84Q9/UJxv69atmDBhAm6++eaonYfauZxOZ9TM\nYdCgQXj33XeRmJiI1tZW1NbWIiUlRdfx6zEP4NLN4IknnjBk/KGeg8PhwIkTJ7Bhwwb86le/wty5\nc1FVVRVVc9i/fz9ycnIwevRoAEBeXp4hlm+o5yHlr3/9K9LS0nDvvfdG1RwEQYAoimhqagIA2Gw2\nxMTEBBwDsxzbSLdu3dCtWzcAHnfo6tWrkZeXh7q6Olx33XX+91mtVtTU1AAAxo4di7Fjx+LLL79U\nnG/27NkAgM8++8yA0V8ilPNQO5fFYomaOQCA2WxGWVkZli5dipiYGEyfPl3X8es1j+eeew4TJ040\n1BMRyjnU1tbi6quvxqOPPoo+ffrgb3/7G5566im/iy0a5nDmzBmkp6fj2WefRWVlJZKSkvD444/r\nNna95uGjvr4eb731FjZs2KD/BBDaOSQkJGDevHl45JFHkJKSAkEQ8PrrrwccA7Mc24nNZsP8+fNx\n9uxZLFy4EKIoyn64oijCZIr8rzeU8yDPZRShnMPYsWOxc+dOTJs2DUVFRRAEQa9hKwjFPLZu3Qqe\n53H33XfrPVwqoZhD9+7dsXr1avTt2xccx2Hy5Mn44YcfcO7cOb2HDyA0c3C5XNi3bx8mTpyIDRs2\n4IEHHsATTzwBh8Oh9/D9hPJ3sW3bNuTl5aF79+56DZdKKOZw8uRJvPHGG9i0aRM++ugjTJkyBXPn\nzg0Ycoj8u3cEUlVVhalTp4Lnebz88stISkpCVlYWamtr/e+pra2F1WoN4ygDE8p50M5lBKGaw/ff\nf49Dhw75X48fPx5VVVVoaGjQbexSQjWPf/zjH/jmm28wadIkPPnkk2htbcWkSZNk59GLUM2hsrIS\nH330kWybKIowm/V3dIVqDpmZmejduzeGDBkCAMjPz4cgCPjhhx90Hb+PUN+jdu7cifHjx+s1XCqh\nmsP+/fsxbNgwfwLOL3/5S3z33Xe4ePGi5nFMHNtIc3MzZsyYgXHjxmHp0qWIi4sD4PnnLy0thc1m\ng8PhwPbt25Gfnx/m0aoTynmonUtvQjmHuro6PP3006ivrwcAlJaWok+fPujatWtUzWP9+vV45513\nUFJSghdffBGxsbEoKSmhJu1E6hxMJhNeeOEFv5C8++676NevH7KysqJmDtdffz3OnTuHY8eOAQAO\nHDgAjuP8rsJomQcANDQ04OzZs4YmR4VyDgMGDMDBgwdx/vx5AMCePXvQrVu3gL9tFnNsI1u2bEFV\nVRXKyspkKfIvvfQSxo0bh8LCQrhcLuTl5fmzvCKRUM5D61x6ikso53DllVeisLAQM2bMAM/zyMzM\nxMqVK3Ubu5TO8D8Vyjn07dsXTz31FGbNmgVBEGC1WrFkyRKdZxDaOWRkZGDFihVYsWKFPwFk+fLl\niI2N1XkWof9/Onv2LDIyMgyx3H2Ecg6jRo3C5MmT8eijj8JsNiMlJSWo3zbr58hgMBgMBgFzqzIY\nDAaDQcDEkcFgMBgMAiaODAaDwWAQMHFkMBgMBoOAiSODwWAwGARMHBkMBoPBIGDiyGAwGAwGARNH\nBoPBYDAI/j8yp2wJ+o9+JQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22507ec3a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Format the data for plotting\n",
    "gm_sales = gm_sales[gm_sales['Month'] != 'Total']\n",
    "gm_sales = gm_sales[gm_sales['Year'] > 2010]\n",
    "gm_sales['Date'] = ['-'.join([str(year), month]) for year, month in zip(gm_sales['Year'], gm_sales['Month'])]\n",
    "gm_sales['Date'] = pd.to_datetime(gm_sales['Date'], format = \"%Y-%b\")\n",
    "gm_sales.sort_values(by = 'Date', inplace=True)\n",
    "gm_sales['Month'] = [date.month for date in gm_sales['Date']]\n",
    "\n",
    "# Plot the sales over the period\n",
    "plt.plot(gm_sales['Date'], gm_sales['Sales'], 'r');\n",
    "plt.title('GM Monthly Sales 2011-2017'); plt.ylabel('Sales');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ll+dqlqogFFciOAqCIAiCETHmKAiCIAhGRHAUBEEQBCMiOAqCIAiCEREcS7j0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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2250a43dd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm_sales_grouped = gm_sales.groupby('Month').mean()\n",
    "plt.plot(list(range(1, 13)), gm_sales_grouped['Sales']);\n",
    "plt.xlabel('Month'); plt.ylabel('Sales'); plt.title('GM Average Monthly Sales 2011-2017');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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390dWVhby8vLg4+NTZ32NEydOAAAGDx5s8Fjbtm0RHByMkydPQq1Ww86uaqp9TEyMrK6H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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22506e47470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm_prophet.plot_yearly(); plt.title('GM Yearly Component of Market Cap');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It does not appear as if there is much correlation between market capitalization (a proxy for share price) and sales over the course of a year."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "# US vs. China Gross Domestic Product"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/zTwpb2v5xF/rScdSIjpzz549i06no0GDBoaylJQUvv/+exTlztYgiqKgVqtx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\nQgghBAD/Dxey28PV3hCLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22505359668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eNEnFjPKXFEAhhBBZaC5dwu7zzy1iye++i+LmplJG+U8KoBBCiCwcZs5Ek5Ji\nXjZ5eJA8YoSKGeU/KYBCCCEs2Pz8M3Zff20RS5o6tVh0fMnI6hPiKorCBx98gLe3N3379sVoNLJk\nyRLCw8MxGo306dOH7t27A3D58mVmzZrFnTt3cHR0JCAggGr355navXs3GzduxGAw0LBhQ8aOHYtO\npyMpKYlZs2bx119/YTKZePvtt2nRooW1D1MIIYomRcFhyhSLkLFuXVJffVWlhAqOVa8AL168yPDh\nw/k+w0CqO3bs4PLly2zevJm1a9eyZcsWTp8+DcC0adPo1q0bW7duZciQIUycOBFFUTh//jwrVqzg\n888/Z/v27dy7d49NmzYBsGLFCkqVKsW2bdv49NNPWbBgAVFRUdY8TCGEKLJ0u3eji4iwiCXOnAna\n4tdgaNUjCgwMpEuXLrz00kvm2JEjR+jYsSM6nQ5nZ2datWrFN998w40bN/j7779p3bo1AC+88AKJ\niYmcPXuWkJAQ/Pz8cHV1RavV0rVrV4KDgwEICQnB398fAHd3d5577jkOHTpkzcMUQoiiKSUFh4AA\ni1BqmzYYmzdXJ58CZtUm0HHjxgEQkeHbRVRUFG4ZehXp9XrOnTtHVFQUFSpUQJvhW4der+fGjRtE\nRUXh4eGRJZ6+P71en+26R4mMjMzdgeXzPtQgeVuX5G1dRTVvsG7ubps2UfbiRfOyYmPD2TffJCkX\nORSGc16jRo2Hrrf6PcDMTCYTmkwzCGu1WhRFyRJXFMW8Lrt4dvtTFAWbHI5U/qiT9SiRkZF53oca\nJG/rkrytq6jmDdbNXRMTg9OaNRaxlAEDqNKq1WPvq6icc9Ubdd3d3bl586Z5+ebNm+j1etzc3IiO\njrYodpnXpYuOjjZf9bm7uz9wnRBCiOzZL1iANjbWvKyUKUPyhAkqZlTwVC+Afn5+7NmzB4PBQFxc\nHAcPHqRFixa4ubnh6enJwYMHAQgPD0er1eLt7Y2fnx9Hjx7l9u3bKIrCjh07aH6/jdrPz48dO3YA\nac2h4eHhNG3aVLXjE0KIwk578SJ2K1daxJLHjEGpWFGljKxD9SbQ7t27c/XqVfr06YPBYKBr167U\nq1cPgFmzZjF79my+/PJL7OzsmDNnDlqtlho1avDmm28yfPhwDAYDtWvXpl+/fgAMGTKEefPm8eqr\nr2IymXjnnXfwLMLzVQkhREFzCAiwnOjW05PkoUNVzMg6NLGxscqjNxM5UVTavTOTvK1L8rauopo3\nWCd3m2PHcGrb1iKWsGIFqT175nqfReWcq94EKoQQQj0OH35osWx49llSe/RQKRvrkgIohBAllM3P\nP6P74QeLWFIxfeg9OyXjKIXaNMBaAAAgAElEQVQQQmRhv3ixxbKhWTOMJajToBRAIYQogbRnz2K7\nb59FLHnMGJWyUYcUQCGEKIHsP/7YYtn4zDMYStjEAVIAhRCihNFcuYLt9u0WsaQxYyDT6FvFnRRA\nIYQoYew//RSNwWBeNnp7Y+jYUcWM1CEFUAghShDNrVvYrV9vEUt+5x3I4ZjJxYkUQCGEKEHsPv8c\nTWKiednk4VEsJ7vNCSmAQghRUsTFZR3zc/hwsLdXKSF1SQEUQogSwm7tWosZH0wuLqT0769eQiqT\nAiiEECVBcjL2y5dbhFKGDAEnJ5USUp8UQCGEKAFst25Fe+2aeVkpVYqUt95SMSP1SQEUQojizmjE\nfskSi1BKv34o5curlFDhIAVQCCGKOd2ePdicP29eVnQ6kt9+W8WMCgcpgEIIUZwpCg6ZBr1O7dkT\nRSYKlwIohBDFme7wYWx+/928rGg0JL/7rooZFR5SAIUQohjLMuVRhw6YatZUKZvCRQqgEEIUU9lN\neJs8erRK2RQ+UgCFEKKYynL15+eHsX59lbIpfKQACiFEMaQ9cybLhLdJJWzC20eRAiiEEMVQlqu/\nZ5/F2Ly5StkUTlIAhRCimNFcuoRtYKBFLLkETnj7KFIAhRCimLFfsgSNyWReNj75JIYOHVTMqHCS\nAiiEEMWI5t9/sdu40SKWPHo0aOXjPjM5I0IIUYzYL1uGJiXFvGyqWpXU7t1VzKjwkgIohBDFhOb2\nbezWrLGIJY8aBTqdShkVblIAhRCimLD77DM0CQnmZZO7OymvvaZiRoVbofhacPjwYVauXIlGo8HZ\n2ZkpU6ZQqVIllixZQnh4OEajkT59+tD9/mX85cuXmTVrFnfu3MHR0ZGAgACqVasGwO7du9m4cSMG\ng4GGDRsyduxYdPLtRwhR3N29i/2KFRah5BEjwMFBpYQKP9WvAJOSkpg+fTrz5s1j48aNNGvWjI8+\n+ogdO3Zw+fJlNm/ezNq1a9myZQunT58GYNq0aXTr1o2tW7cyZMgQJk6ciKIonD9/nhUrVvD555+z\nfft27t27x6ZNm1Q+QiGEKHh2X36J5s4d87LJ1ZWUAQNUzKjwU70AmkwmFEXh3r17ACQmJmJnZ8eR\nI0fo2LEjOp0OZ2dnWrVqxTfffMONGzf4+++/ad26NQAvvPACiYmJnD17lpCQEPz8/HB1dUWr1dK1\na1eCg4PVPDwhhCh4iYnYL1tmEUoZOhScnFRKqGhQvW2wVKlSTJw4kTfffJOyZctiMplYuXIlY8aM\nwc3NzbydXq/n3LlzREVFUaFCBbQZuvTq9Xpu3LhBVFQUHh4eWeI5FRkZmefjyY99qEHyti7J27qK\nat6Qs9wrbttG2Zs3zcvGUqU48/LLGFU87sJwzmvUqPHQ9aoXwHPnzrF69Wq2bt2Kp6cnW7duZcKE\nCZhMJjSZRi3QarUoipIlriiKeV128Zx61Ml6lMjIyDzvQw2St3VJ3tZVVPOGHOaemkqZzZstQobB\ng/mfioNeF5VzrnoT6LFjx6hbty6e92cn7tGjBxcuXMDd3Z2bGb7R3Lx5E71ej5ubG9HR0RbFLvO6\ndNHR0ej1eusdjBBCWJnttm1o//nHvKzY25M8fLiKGRUdqhfAmjVr8uuvv3Lr1i0AQkJC8PDwwM/P\njz179mAwGIiLi+PgwYO0aNECNzc3PD09OXjwIADh4eFotVq8vb3x8/Pj6NGj3L59G0VR2LFjB81l\n8FchRHFlNGL/8ccWoZR+/VAy3D4SD6Z6E2jDhg3p27cvw4YNQ6fTUbZsWRYsWEDVqlW5evUqffr0\nwWAw0LVrV+rVqwfArFmzmD17Nl9++SV2dnbMmTMHrVZLjRo1ePPNNxk+fDgGg4HatWvTr18/lY9Q\nCCEKhm7PHmwy3GtTdDqSR45UMaOiRfUCCPDKK6/wyiuvZImPecDcVV5eXnz++efZruvUqROdOnXK\n1/yEEKLQURQcPvrIIpT6yisoXl4qJVT0qN4EKoQQ4vHpDh7E5uRJ87Ki0aQNei1yTAqgEEIUNYqC\nfaarP0Pnzph8fFRKqGiSAiiEEEWM9sQJdBERFrGkB9wyEg8mBVAIIYoYu6Agi+XUli0xPfOMStkU\nXVIAhRCiKFEUbL/+2iKU2ru3SskUbVIAhRCiCLH56SfLB98dHUlt21bFjIouKYBCCFGEZLn6a9tW\nBr3OpRw9B2gwGCzm1IuKiuL06dM4OTnh6+uLnZ1dgSUohBDiPqMR2507LUKp3bqplEzR99ArwJCQ\nEDp06MDevXvNsR07dtCtWzfmzp3Le++9R8+ePblw4UKBJyqEECWdTVgY2qgo87JSpgyGVq1UzKho\ne2ABjI6OZurUqfj7+5vH04yOjmbRokW8/fbbfPvttxw8eBBfX1/mzJljtYSFEKKkssvc/Nmhg8z4\nngcPbAJdsmQJDg4OaDQavr5/0i9evIjRaCQuLo5Vq1YBULp0af78809WrVpFvXr1zON1CiGEyEcp\nKeh277YIpXbvrlIyxcMDC2D6LA0ZC1r6jOsNGjQwx9KbP+vVq0elSpUKMFUhhCi5dEeOoI2JMS+b\nXF0xtGihXkLFwAObQLt27UpKSgr79u0jISGB8PBwzp07x8CBA6lXrx61atUiOTmZwMBAGjduLAVQ\nCCEKUJben126gK2tStkUDw8sgKVLl+aTTz7hn3/+YcqUKRw6dIhp06bhc3+sufDwcEaNGoVer2fS\npElWS1gIIUqcxERs9++3CEnvz7x76GMQNWvW5Isvvsh2XePGjfnmm28oV65cgSQmhBAije7gQTRx\nceZlk7s7xiZNVMyoeMj1fIAODg44SO8jIYQocLaZx/709wcbG5WyKT5kJBghhCjM4uKwPXDAIiS9\nP/OHFEAhhCjEbIOD0SQmmpdNVapgzNATX+SeFEAhhCjEbAMDLZZTuncHjUalbIqXx7oHeOnSJc6c\nOYPBYEBRFIt1nTt3ztfEhBCipLO5cwfd999bxKT3Z/7JcQFct24dn332GWXKlKFUqVIW6zQajRRA\nIYTIZ65HjqBJTTUvG2vUwPT00ypmVLzkuAAGBQUxdOhQ+vfvX4DpCCGESFfu228tllO7dZPmz3yU\n43uAcXFxtGzZsiBzEUIIcZ/mxg3K/PyzRUyaP/NXjgtgu3btCAoKynLvTwghRP6z3bULjclkXjbW\nqYOpZk0VMyp+ctwEeufOHQ4fPkxwcDAeHh4WE+QCrFixIt+TE0KIkirzw+8pPXqolEnxleMCWLVq\nVbn/J4QQVqD55x904eEWsdSuXVXKpvjKcQEcPHiw+c937tzBZDLh6upaIEkJIURJZrtjh8WyoWFD\nlKpVVcqm+Hqs5wA3btzIhg0biI2NBcDZ2ZkePXowZMiQAklOCCFKoixTH0nnlwKR4wK4cuVKAgMD\neeutt6hbty4mk4kTJ06wcuVK7Ozs8tQ8eu7cORYuXMi9e/fQarVMmjSJp556irVr17Jv3z6MRiNt\n27Zl8ODBaDQaYmJiCAgI4Pr162g0GiZPnkzdunUBCA0NZfny5aSkpODt7c3777+Pk5NTrnMTQghr\n0p4/j+6338zLikaTNvi1yHc57gW6a9cu3n//fbp164a3tzc+Pj706NGDKVOmEJTpZu3jSEpKYuTI\nkbz++ut89dVXDBo0iGnTphEWFsahQ4dYv349mzdv5pdffuHQoUMAzJ8/H19fX7Zu3cqMGTOYNGkS\nSUlJxMTEMHPmTObOnUtgYCCVK1dm2bJluc5NCCGsze6TTyyWjU2aoMhk4wUixwUwPj4eLy+vLHEv\nLy9iYmJyncCxY8fw9PSkyf25rfz8/Jg9ezZHjhyhTZs2ODo6Ym9vT6dOnQgODsZgMBAaGor//W9E\nPj4+VKlShfDwcCIiIqhVq5Y5z+7duxMcHCyPbgghigTtuXPYbdhgEUvp1UulbIq/HDeB1q1bl6++\n+oqJEydic38eKqPRyFdffUWdOnVyncDly5cpX748M2fOJDIykjJlyjBy5EiioqJo2LCheTu9Xs+N\nGzeIjY1FURSLDjjp65KSktDr9Rbx+Ph44uPjc9QMGhkZmevjyM99qEHyti7J27qKSt7/mzwZjdFo\nXk7y8uJM/fooRST/jArDOa9Ro8ZD1+e4AI4ePZohQ4Zw7Ngxat5/GPPs2bOYTCaWLFmS6wQNBgNh\nYWF89tln1KlTh5CQEEaNGkX16tXRZBjyR1EUtFotiqJYxDOuM5lMWdYB5oL9KI86WY8SGRmZ532o\nQfK2LsnbuopK3trffqPMwYMWsatvvYX3U0+plFHuFZlzntMNq1WrxrZt2+jbty8VK1akcuXKDBo0\niMDAQLy9vXOdQMWKFalevbr5KrJ58+bmQnbz5k3zdjdv3kSv1+Pq6oqiKNy5c8e8Ljo6Gr1ej7u7\nO9HR0Ra/4+zsjKOjY67zE0IIa3CYOdNi2Vi3LjEvv6xSNiXDY80H6OLiwquvvsqECRMYPXo0/v7+\neS4ujRs35t9//+XMmTMAHD9+HI1Gw2uvvUZwcDCJiYmkpKSwb98+mjdvjk6no0mTJuzcuRNI+6Zx\n8eJF6tevT6NGjTh16hSXL18G0gbw9vPzy1N+QghR0GyOHsX2u+8sYknTp4NWpmwtSA9tAu3UqRMb\nNmzAxcWFjh07Ztu8mG7Pnj25SqBChQrMnz+f+fPnk5iYiJ2dHfPmzcPX15dz587Rv39/DAYDfn5+\ndOjQAYDx48fz4Ycf0qtXLzQaDQEBAeZ7fFOnTmXixIkYDAYqV65MQEBArvISQgirUBQcZsywCBma\nNsXQsiWcO6dSUiXDQwvgW2+9ZZ77b+jQoQWWRL169VizZk2W+IABAxgwYECWePny5Vm0aFG2+2rS\npIm5R6kQQhR2uv370WWa9SFp+nSZ9sgKHloAO3bsmO2fhRBC5AOjMcu9v9T27TFm6AEvCs5DC2D6\nyCs5IbNBCCHE47HduhWbP/80LysaDUlTp6qYUcny0ALYsGHDHBdAIYQQjyE5GYfZsy1Cqb16YSqC\njz0UVQ8tgDLItRBCFAy7NWvQ/vOPeVmxsyNp4kQVMyp5HloAp0+fnuMdffDBB3lORgghSoS4OOwX\nLrQIpQwYIFMeWdlDC2BOR1ARQgiRc/bLl6PNMGiHUro0yWPHqphRyfTQAjht2jRr5SGEECWCJjoa\n+08/tYgljxiBUrGiShmVXA8tgF988QVvvPEGDg4OfPHFFw/cTqPRyP1CIYTIAftFi9DExZmXTeXK\nkfz22ypmVHI9tAD+9ttv9O7dGwcHB37LMEGjEEKIx6e5cgW71astYsnvvQfOziplVLI9tAB+9tln\n2f5ZCCHEY4qNpXTv3miSk80hk6cnKYMGqZhUyZbj6ZAyunLlCjt37sRoNPLyyy/naT5AIYQo9u7e\npXS3bticPGkRTpowARwcVEpKPLQAJiQksGTJEg7en6OqXbt29OzZk4EDB1KuXDkURWHr1q3MmzdP\nZl0QQojs3LtH6Z490R0/bhFObdmS1N69VUpKwCMK4KJFizhz5gyjR4/GxcWFbdu2MXjwYDp27Mjo\n0aMB+Pzzz1m3bp0UQCGEyCwhgdK9eqE7dswibHjhBRI2bAB51ExVDy2AR48eZfHixdSuXRuAp59+\nmjZt2tC2bVvzNp07d2bTpk0Fm6UQQhQ1SUmU6tsXXWioRdjQsCHxW7dC6dIqJSbSPXS2xTt37uDm\n5mZednFxwcHBAecMPZbs7e1JSUkpuAyFEKKoSUmhVP/+2H7/vUXY4OtL/PbtUKaMSomJjB453bA2\n04zEMji2EEI8hMFAqTffxDY42CJsrF2bhKAgcHFRKTGR2SN7gf7+++/m2dYBTCYTJ0+e5N9//wUg\nLsMDnUIIUaIZjTgOG4bt7t2W4Zo1id+5E6VcOZUSE9l5ZAGcmM3o5JkHyZarQiFEiWcy4fjOO9ht\n324RNv7vf8Tv2iVDnRVCDy2AERER1spDCCGKNPs5c7DbuNEiZvLyIn73bhR3d5WyEg/zyHuAQggh\nHk5z/Tr2S5daxEyVK3Nv924UT0+VshKPIgVQCCHyyP6TTyyHOKtYMe3Kr1o19ZISjyQFUAgh8kAT\nHY3dmjUWseQJEzA98YRKGYmckgIohBB5YPfZZ2gSEszLJjc3Uvr2VTEjkVNSAIUQIrdiY7FfscIi\nlDxypAxwXURIARRCiFyyX7HCcnLb8uVJGTBAxYzE45ACKIQQuREXh12meVJTRoyQMT6LECmAQgiR\nC3Zffok2Jsa8rJQtS/Kbb6qYkXhchaoAHjlyhBYtWpiX165dyyuvvEK3bt1YsWIFiqIAEBMTw7vv\nvsurr75Kr169OHHihPl3QkND6d27Nz169GDixIncu3fP2ochhCjuEhKw//RTi1DyW29BhokCROFX\naArg5cuXWbp0qbnIhYWFcejQIdavX8/mzZv55ZdfOHToEADz58/H19eXrVu3MmPGDCZNmkRSUhIx\nMTHMnDmTuXPnEhgYSOXKlVm2bJmahyWEKIbs1q9He/OmeVlxciJl2DAVMxK5USgKYFJSEtOnT2fU\nqFHm2JEjR2jTpg2Ojo7Y29vTqVMngoODMRgMhIaG4u/vD4CPjw9VqlQhPDyciIgIatWqhZeXFwDd\nu3cnODjYXFSFECLPkpOzjPqS/OabKK6uKiUkcqtQFMA5c+bQtWtXvL29zbGoqCiLuQj1ej03btwg\nNjYWRVFwzfCPLX1dVFQUer3eIh4fH098fLx1DkQIUezZbdqE9v5sOACKo2Na5xdR5DxyNoiCFhgY\niI2NDZ07dzZPsQSgKIrFLBOKoqDVarPEM64zmUzZzkxhY2OTo1wiIyNzeRT5uw81SN7WJXlbV37l\nrTEYqLNggUXsRpcuXImNhdjYfHmPzEr6Oc+LGjVqPHS96gVw7969JCUl0adPHwwGA8nJyfTp04cn\nn3ySmxna2G/evIler8fV1RVFUbhz5w5ly5YFIDo6Gr1ej5OTE6dPn7b4HWdnZxwdHXOUy6NO1qNE\nRkbmeR9qkLytS/K2rvzM23bTJuwzflG3s8Nx2jRqeHjky/4zk3NesFRvAl27di1btmxh48aNLF68\nGHt7ezZu3EiLFi0IDg4mMTGRlJQU9u3bR/PmzdHpdDRp0oSdO3cCaSf64sWL1K9fn0aNGnHq1Cku\nX74MQFBQEH5+fmoenhCiuDAasV+0yCKU0rcvSgEVP1HwVL8CfJBmzZpx7tw5+vfvj8FgwM/Pjw4d\nOgAwfvx4PvzwQ3r16oVGoyEgIMA8a/3UqVOZOHEiBoOBypUrExAQoOJRCCGKC9udO7E5d868rNjY\nkPzuuypmJPKqUBVADw8PQkJCzMsDBgxgQDbDCpUvX55Fmb6JpWvSpAlNmjQpsByFECWQyYT9Rx9Z\nhFJffRWlalWVEhL5QfUmUCGEKOx0+/dj88cf5mVFqyV5zBgVMxL5QQqgEEI8jMmEQ6aen6ndumHK\n8NiWKJqkAAohxEPYrl+Pze+/W8Tk6q94kAIohBAPoImKwnHaNItYapcumGrVUikjkZ+kAAohxAM4\nTJqE5u5d87JSujSJs2apmJHIT1IAhRAiG7qDB7ELCrKIJU2ejFKlikoZifwmBVAIITKLj8cx030+\n4zPPkPLWWyolJAqCFEAhhMjEYe5ctFeumJcVrZaEJUtAV6genRZ5JAVQCCEy0J44gd3y5RaxlKFD\nMfn6qpSRKChSAIUQIp3RiOO776IxGs0hk6cnSZMnq5iUKChSAIUQ4j67lSvR/fqrRSxxwQK4P9aw\nKF6kAAohBKD55x8cMj3ikNq5M4Z27VTKSBQ0KYBCCAE4TpiA5t4987Li7EzivHkqZiQKmhRAIUSJ\np9u7F9t9+yxiSdOmoVSqpFJGwhqkAAohSra7d3EcP94iZGjYkJSBA1VKSFiLFEAhRInmMGsW2n//\nNS8rOh2JH38MWvl4LO7kb1gIUWLZrVmD3cqVFrHkkSMx1a6tUkbCmqQACiFKHkXBftEiHEePRqMo\n5rCxWjWSMzWHiuJLxvURQpQsioLDtGnYf/KJZVinI3HpUnB0VCkxYW1SAIUQJYfBgOOoUdh99ZVF\nWHFwIGHdOox+fiolJtQgBVAIUTIkJ1PqzTex3bPHIqw4OxO/eTPGJk1USkyoRQqgEKL4u3ePUn37\nYnvkiEXYVKEC8V9/jemZZ9TJS6hKOsEIIYo1m9hYSvv7Zy1+np7EBwdL8SvB5ApQCFFsaa5d48m3\n3kJ34YJF3OjjQ3xQEIqnp0qZicJArgCFEMWSzc8/49SmDY6Zip/B15f4/ful+AkpgEKIYiYlBftZ\nsyjdujXay5ctVhmaNCF+926UChVUSk4UJtIEKoQoNrSnT1Nq6FBsTp7Msi61XTsSvvxSnvMTZnIF\nKIQo+oxG7D7+GKcXX8y2+CUPGkTC+vVS/ISFQnEF+M0337BhwwY0Gg0ODg6899571KpVi7Vr17Jv\n3z6MRiNt27Zl8ODBaDQaYmJiCAgI4Pr162g0GiZPnkzdunUBCA0NZfny5aSkpODt7c3777+Pk8zm\nLESxpb1wAcdhw9BFRGRZZ3J35/zEiej797d+YqLQU/0K8O+//2bp0qUsXbqUjRs3MnDgQCZMmEBY\nWBiHDh1i/fr1bN68mV9++YVDhw4BMH/+fHx9fdm6dSszZsxg0qRJJCUlERMTw8yZM5k7dy6BgYFU\nrlyZZcuWqXyEQogCoSjYrVqFU9Om2Ra/lB49uBcezh15wF08gOoF0NbWlilTplDh/k3pp556ilu3\nbvHdd9/Rpk0bHB0dsbe3p1OnTgQHB2MwGAgNDcXf3x8AHx8fqlSpQnh4OBEREdSqVQsvLy8Aunfv\nTnBwMEqGwW6FEEWf5tIlSnXvjuPYsWgSEizWmVxdSVizhsRVq1BcXVXKUBQFqjeBenh44OHhAYCi\nKHz88cf4+fkRHR3N888/b95Or9dz48YNYmNjURQF1wz/sNPXJSUlodfrLeLx8fHEx8dLM6gQxUFC\nAvaLFmH/ySdokpOzrE5t04bEJUtQ3N1VSE4UNaoXwHSJiYl88MEH3LhxgyVLljB58mQ0Go15vaIo\naLVaFEWxiGdcZzKZsqwDsLGxyVEOkZGReTuIfNqHGiRv65K8H5Oi4HroEJ5LlmAfFZVltbFUKS6/\n9x63OnWCuLi0VwZF9XxD0c29MORdo0aNh64vFAXw+vXrjBkzhurVq7N8+XIcHBxwc3Pj5s2b5m1u\n3ryJXq/H1dUVRVG4c+cOZcuWBSA6Ohq9Xo+TkxOnT5+2+B1nZ2ccc9jz61En61EiIyPzvA81SN7W\nJXk/Hu0ff+A4YQK6H37Idr2haVMSli2jXNWqlMtmfVE931B0cy8qeat+DzA+Pp6hQ4fy4osv8uGH\nH+Lg4ABA8+bNCQ4OJjExkZSUFPbt20fz5s3R6XQ0adKEnTt3Amkn+uLFi9SvX59GjRpx6tQpLt9/\n+DUoKAg/md5EiKIpNhaH8eNxatYs2+Jn0utJ+OyztAfbq1ZVIUFR1Kl+Bbh9+3auX7/OkSNHOJJh\nsNply5bx4osv0r9/fwwGA35+fnTo0AGA8ePH8+GHH9KrVy80Gg0BAQHme3xTp05l4sSJGAwGKleu\nTEBAgApHJYTINYMB202bcPjgA7S3bmVZreh0pAwbRtK4ceDsrEKCorjQxMbGShfJfFJULvszk7yt\nS/LOnvb8eWy/+gq7zZvRXr+e7TapLVuSNHcuJh+fHO+3qJ5vKLq5F5W8Vb8CFEKUYAkJ2O7ahd2G\nDeh+/PGBm5m8vEicPRtDhw6QTUc3IXJDCqAQwroUBZtff8V2wwbsvv4azd27D97UwYHk0aNJfucd\nGcZM5DspgEKIgpeais1PP6E7cgTbvXux+eOPh26uODmR2r07Se+9h3J/YAsh8psUQCFE/lMUtGfO\noDtyBF1ICLqwMDT37j3y1wzPP09K376k+vuDDF4hCpgUQCFEvtBcvZpW7O4XPW02D6xnx1SxIqmv\nvUZK376P1blFiLySAiiEyBXNzZvoQkOxOXoU3dGj2Jw/n+PfVbRaDK1akfL66xjatAFb2wLMVIjs\nSQEUQuSITVwcun370B09iu6HHx55Hy8zk16PoUWLtFfLljJep1CdFEAhRLY0UVHYHDuGLjwcm2PH\n8D1xAo3JlOPfV0qXxtC0KYbmzTG0aIHpqafkEQZRqEgBFEKkdVo5fx6bH39Ed+wYNseOYXPhwuPt\nQqfDWL++ueAZGzQAO7sCSliIvJMCKERJEheH9u+/LV+XLmHzyy9oo6Mfa1eKRoPxmWcw+vlh8PPD\n8Pzz0nNTFClSAIUoTgwGNP/8k1bULl5Ee+kSmozF7vbtPO3eWKtWWrOmnx+Gpk3BxSWfEhfC+qQA\nClHUmExoL1xAe/o02kuX0l73i532yhU0RmO+vI2i06Vd4T3/PIbnnydSr6d6o0b5sm8hCgMpgEIU\nZgYD2r/+wub33/97nTyZo4fKH5fi5IShYcO0gte4Mcb69aF06f9SKQQTnAqRn6QAClGIaK5eTXum\n7uef04rdqVNokpLybf+KrS2mKlUwVa2KqWpVlPs/jU88gal2bdDJR4IoOeRfuxAq0ty+jc0PP6Q9\nWxcSgs25c3nep8nNDVO1amlFrnp1c7EzVa2KUqkS2NjkQ+ZCFH1SAIWwpnv3cA4Lw2HdOnRHj6I9\neRKN8vhTcppcXTHVrYvRxyet2FWvbi56GZsthRAPJgVQiIJ27x62wcHYBgWhO3SIsikpj/XrJr0e\no68vxrp10zqlPPMMSpUq8lC5EHkkBVCIgpCQgO7gQeyCgtB9+y2axMQc/Zqi02Fs0ABD06YYGzRI\nK3aVKhVwskKUTFIAhchOXBy6Y8fSxrw8ehSbP/9EcXJCqVwZU/rL0/O/ZQ8PlPLl0YWEYLtjB7bf\nfIMmPj5Hb2V8+um05+qaN8fQuDGUKVPAByeEACmAQqRJSEAXEZHWIeWHH7A5fjzL83SapCSIjsbm\n99/z9FbJHh7Qti0GP6s6Dq4AAA9DSURBVD+MzZqhlC+fp/0JIXJHCqAofBSlYO9vxcZic/Ys2rNn\nsfnrL2x++QWbn39Gk5paYG9p8vQktWtXUrt148/Spakh894JoTopgMJ60ofpun4dTVTUfz+vXbNc\nvnULk6sripcXJi+vtOfW0v98/4Wzs+W+FQVSUiApKe1KLTERTXIy2n//RXv2bNrD5H/9hfavv9De\nuGGVwzVVqkRqly6kduuGsWHD/4q6PFAuRKEgBVDkv+RktOfOpV1l/flnWvE5exbtuXM5vsrSxsRA\nTMwDmxuVsmWpa2+PLjU1reAlJeXqcYKHMdaogaFZM4zNmqXdmzMY0F69ivbqVTRXr6L955///nz1\nKpqbN1Hc3Ejt2JHUrl0xNm4MWm2+5iSEyD9SAPPLnTvYXbuGxtkZxd4e0l/58QGoKGlXNImJEB+P\nJiEh7QPfYIDU1LQrK4MB0pdTU9PuXxkMae+v1aJotWlXIPeXM76co6KwuX49bRQQW1uU+z+xtQWd\nDkWnSytccXFosnlx7x6au3fTisPZs2gvXnyseeNyQ3PnDvk90Y6xWrW0Ynf/lV3vS6OnJw8cadNk\nkoInRBEiBTCf2G3eTN2JE7PEFVtbsLf/ryja2PxXkDK/0guU0ZjWgzAhIa3oJSTk+9VNRiXtbpRi\nZ4fJ2zvtIXIfH0w1a2J47rm0Z+vyQoqfEEWKFMD88oCHmzXpV2QFMHhxUWTS6zFVrozi5obJ3T3t\nZ6VKKG5uKO7umNzcUCpUQBMdjfbyZbRXrqT9vHwZzf2f2itX0GRzvhVbW3BwQHFwMP9UypbFVKMG\nxpo1zcXOVLWqjHkphJACmF/yc8Di4sBUpUpa0alZ0+JnTuePUzw8MHp4YHz++Wx2bkJz4wYXIyOp\nXqtW2tW1g4MUNSHEY5FPjHyilC5Nsrs7tkYjmuRkSE5O+5lf+3dwQHF0hNKlUUqVSmtWtbNL+9C/\n/1Lu37Mz/9nGJu3+ocmUdk8u80tRwGgk8e5dStnZme8halJTwWj8736iwZC2PycnlDJl0l7OzihO\nTpC+XKYMiqsrJh8fjDVqFOzM4Fotirs7qXFx8gydECLXimUBDA0NZfny5aSkpODt7c3777+PU0F+\nIAMpI0YQ2bo1NWrU+C+Y3jU/vRgmJ6cVFkXJviClv2xsUEqXhlKl0opeqVIFOoJ/ZGSkZd5CCFEC\nFLsCGBMTw8yZM1m5ciVeXl588sknLFu2jAkTJlg/GY3G3Bs0cxeWguvSIoQQIieKXbe1iIgIatWq\nhZeXFwDdu3cnODgYpQB7UQohhCh6it0VYFRUFHq93rys1+uJj48nPj7+kc2gkfkwQkd+7EMNkrd1\nSd7WVVTz5v/bu/+Yquo/juPPy4/gAoMoBFLICNBSczb8sVJAaykzDCoW2FjhlGVkKr8CZSlpwAJN\nitHSWhIgrYFmTIiNMPthMedm81fJb1AQ4pIyhUt44X7/cN5F6TX9ci8H7vvxH+dy7l73fRnvez7n\n3PNm/GZXQu7bndqZcA1weHgY1U3uI2n9H86h/b/nwcbruTTJbV6S27zGa24Yv9nHS+4JtwTq6emJ\nRqMx/Nzd3Y2zszNqtXoMUwkhhFCaCdcAFyxYwOnTp2lrawPgwIEDBAUFjXEqIYQQSjPhlkDvu+8+\n3n77bVJTU9HpdEyZMoX09PSxjiWEEEJhVJcvX5bLI4UQQlicCbcEKoQQQvwX0gCFEEJYJGmAQggh\nLJI0QCGEEBZJGqAQQgiLJA1QCCGERZIGKIQQwiJNuC/Cjza9Xs8777yDn58f0dHR9Pb28t5771FX\nV4darSY0NJTIyEgAmpqayMrKor+/H5VKxRtvvMETTzwBQHl5Ofv27UOn0zFv3jySkpKwMeEE89HK\nnZKSQn19veFWcgEBASQkJCgi9/Hjx/nggw8YGhrCxcWF+Ph4pk2bBii73sZym7Pe33zzDUVFRahU\nKuzt7UlMTGTGjBkUFBRQUVHB0NAQISEhxMbGolKpuHTpEunp6XR2dqJSqdi8eTOzZ88GzDuDczRz\n5+bmUlNTg7OzMwBTp04lMzPTJLnvJvsNtbW15OXlsW/fPsM2JdfcWG5z19wYaYBGNDc3k52dzZkz\nZ/Dz8wNg165dqNVqvvzyS4aHh0lOTmby5MkEBgaSnZ3NihUreO655zh37hxr166lurqa1tZW9uzZ\nQ1FRES4uLmzZsoWSkhJeeeUVRee2sbHh1KlTfP7550yaNMkkWe829+OPP05KSgpZWVnMnz+flpYW\nkpKSKCkp4fz584qtt7Hc99xzj9nq3drayocffkhRURFubm4cPXqUlJQUUlNT+fbbbyksLMTKyor1\n69fj4+PDM888Q3Z2NnPmzGHVqlXU1dURHx/P/v370Wq1ZpvBOZq57e3tOXnyJBkZGYaGaEp3k31g\nYIC9e/dSVlY24m/CnHNPRzM3YNaa344sgRpRVlZGWFgYTz/9tGHb77//zvLly7G2tsbW1paFCxdy\n+PBhAIaGhrhy5QoAfX192NnZAfD9998TFBSEq6srVlZWPP/881RVVSk+d3t7O/39/WRmZrJy5Uq2\nbdtGb2+vInK3tbXh5OTE/PnzAXjooYdwdHTk1KlTiq63sdzmrLetrS1paWm4ubkB8Oijj9LT00NN\nTQ3Lli1DrVZjZ2fHihUrqKqqQqfT8dNPPxEeHg7AtGnT8Pb25pdffjHrDM7RzD04OEhdXR2FhYWs\nXLmSlJQUOjs7Rz3z3WaH60dQWq2WrVu3jnguJdfcWG5z1/x2pAEakZycTEhIyIhtM2fOpLKyEp1O\nR39/P4cPHzZMn3jrrbcoKCggNDSUdevWkZKSgo2NDV1dXXh4eBiew93dnT/++EPxuS9dusS8efNI\nTU2luLgYtVrN9u3bFZH7wQcfRKvVUltbC8DZs2dpampCo9Eout7Gcpuz3pMnT2bRokXA9eXb3Nxc\ngoKC0Gg0N63d5cuX0ev1uLq6/usxYzM4lZy7u7ubuXPn8vrrr1NSUsKsWbNISkoy2fDsO80OsHjx\nYhISEnB0dBzxXEquubHc5q757UgDvEMbN25EpVIRHR1NcnIyCxYswNbWlr/++ou0tDS2bNnCoUOH\n2L17N1lZWXR1df3rzdXr9VhZmbf0d5N71qxZ5OTk4OHhgbW1NbGxsRw9epRr166NeW4nJydycnIo\nKCjg5ZdfpqKigrlz52Jra6voehvLPRb11mq1bNq0iQsXLpCWloZerx9xDudG7f65/e+P/T8zOMcy\n95QpU8jNzcXX19fwXrW3t9PR0WGy3HeS3Rgl19yYsar5rcg5wDvU19fHm2++iYuLCwB79+7Fy8uL\nxsZGBgYGCAwMBOCxxx7j4Ycf5vTp03h4eIyYUajRaEZ8elNq7o6ODq5cuTJinJSVlZVZm8mtcg8P\nD6NWq/n4448Nv/viiy/i5eWl6Hoby33ixAmz1ruzs5OEhAR8fHz46KOPsLe3x8PDg+7ubsPvdHd3\n4+7ujqurK3q9nt7eXsNrulFXJycnzpw5M2IfU87gHK3c9fX11NfXs3z5csN+er3epBdL3Ul2Yzw9\nPRVbc2PGoubGyBHgHTpw4AB79uwBoKenh6+//pqQkBC8vb25evUqJ0+eBODChQs0Nzczffp0goKC\n+OGHH/jzzz/R6/V89dVXBAcHKz63Vqtlx44dhvNQRUVFPPXUUyb9lPlfc6tUKuLj4zl79iwA1dXV\n2NnZ4e/vr+h6G8ttznr39fWxdu1alixZQkZGBvb29gAEBwdTVVWFVqtlcHCQiooKgoODsbGxYeHC\nhRw8eBC4/o+submZgIAAs87gHM3cVlZW7Ny5k/b2dgD279+Pn5/fiGW9scxujJJrboy5a347cgR4\nh1599VW2bt1KVFQUer2e1157jRkzZgCQnZ3Nzp07GRwcxNramk2bNuHl5QXAmjVriIuLQ6fTMXPm\nTJNdkTiaub28vIiMjCQ2Npbh4WH8/PzYvHmzYnJv376dzMxMrl27hpubGzk5OahUKvz9/RVd71vl\nfvLJJ81W79LSUjo7Ozly5AhHjhwxbM/Pz2fJkiXExMSg0+kICgri2WefBa6fK87IyCAqKgqVSkV6\nerrhsntzzeAczdxOTk4kJSWRmJjI8PAw7u7uvPvuuybJfbfZb8Wcc09HM7evr69Za347Mg9QCCGE\nRZIlUCGEEBZJGqAQQgiLJA1QCCGERZIGKIQQwiJJAxRCCGGR5GsQQoxjYWFhXLx4EcBwp35/f39W\nr15tmOhxO8ePH8fV1RVfX19TRhVCceQIUIhxbsOGDVRWVnLo0CE+++wzZs+eTUJCAseOHftP+8fF\nxdHT02PilEIojzRAIcY5R0dH3NzcmDRpEr6+vqxfv56lS5eya9eusY4mhKJJAxRiAgoPD6exsZHz\n58/T0tLChg0bWLx4MYsWLSI2NpbGxkbg+hIqwLp16wy3bvv111+JiYkhMDCQyMhIKisrx+x1CGFK\n0gCFmIB8fHwAaGpqIjExEU9PT4qLi/n0008ZGhoiLy8PgIKCAgAyMzOJjo5Go9EQHx9PSEgIJSUl\nrFmzhh07dvDjjz+O1UsRwmTkIhghJqAb9+jUarWEhYURERGBg4MDAKGhoYbGd2NOnrOzMw4ODhQW\nFhIQEEBUVBQA3t7etLS08MUXXxgmhggxUUgDFGICujEY1dHRkYiICCorK/ntt99obW3l3LlzhtFA\n/9TS0sLPP/884q7+Q0ND3HvvvWbJLYQ5SQMUYgJqaGgA4IEHHiAmJgZnZ2eCg4NZtmwZLS0tFBYW\n3nQ/nU7H0qVLWb169Yjt5h4oLIQ5SAMUYgIqLy/nkUce4eLFi3R1dVFSUmIYOlpbW4tef/MhMFOn\nTuXEiRN4e3sbtpWWltLd3U1cXJxZsgthLvKxTohxrq+vD41Gg0ajoaGhgffff5/q6mo2btyIi4sL\nAwMDfPfdd3R0dHDw4EFKS0sZHBw07O/g4EBTUxNXr14lIiKC+vp68vPzaWtro6amhry8vNtO+hZi\nPJJ5gEKMY3+/EwxcH5Q6ffp0Vq1axZw5cwD45JNPKCsrY3BwEF9fX8LDw9m2bRvl5eV4enqye/du\niouLeeGFF4iPj+fYsWPk5+fT0NDA/fffz0svvUR0dPRYvUQhTEYaoBBCCIskS6BCCCEskjRAIYQQ\nFkkaoBBCCIskDVAIIYRFkgYohBDCIkkDFEIIYZGkAQohhLBI0gCFEEJYJGmAQgghLNL/AAiJ5iGl\ndan2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x225090325c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# My personal api key, use your own\n",
    "quandl.ApiConfig.api_key = 'rFsSehe51RLzREtYhLfo'\n",
    "\n",
    "# Get data from quandl for US and China GDP\n",
    "us_gdp = quandl.get('FRED/GDP', collapse='quarterly', start_date = '1950-12-31', end_date='2017-12-31')\n",
    "china_gdp = quandl.get('ODA/CHN_NGDPD', collapse='yearly', start_date = '1950-12-31', end_date='2017-12-31')\n",
    "\n",
    "us_gdp.plot(title = 'US Gross Domestic Product', legend=None);\n",
    "plt.ylabel('Billion $'); \n",
    "china_gdp.plot(title = 'China Gross Domestic Product', color = 'r', legend=None);\n",
    "plt.ylabel('Billion $');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1951-03-31</td>\n",
       "      <td>336.372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1951-06-30</td>\n",
       "      <td>344.455</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1951-09-30</td>\n",
       "      <td>351.774</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1951-12-31</td>\n",
       "      <td>356.579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1952-03-31</td>\n",
       "      <td>360.195</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date    Value\n",
       "0 1951-03-31  336.372\n",
       "1 1951-06-30  344.455\n",
       "2 1951-09-30  351.774\n",
       "3 1951-12-31  356.579\n",
       "4 1952-03-31  360.195"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Change index to date column\n",
    "us_gdp = us_gdp.reset_index(level=0)\n",
    "us_gdp.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1980-12-31</td>\n",
       "      <td>305.350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1981-12-31</td>\n",
       "      <td>290.724</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1982-12-31</td>\n",
       "      <td>286.729</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1983-12-31</td>\n",
       "      <td>307.683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1984-12-31</td>\n",
       "      <td>316.666</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date    Value\n",
       "0 1980-12-31  305.350\n",
       "1 1981-12-31  290.724\n",
       "2 1982-12-31  286.729\n",
       "3 1983-12-31  307.683\n",
       "4 1984-12-31  316.666"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "china_gdp = china_gdp.reset_index(level=0)\n",
    "china_gdp.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>US</th>\n",
       "      <th>China</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1951-03-31</td>\n",
       "      <td>336.372</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1951-06-30</td>\n",
       "      <td>344.455</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1951-09-30</td>\n",
       "      <td>351.774</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1951-12-31</td>\n",
       "      <td>356.579</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1952-03-31</td>\n",
       "      <td>360.195</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date       US  China\n",
       "0 1951-03-31  336.372    NaN\n",
       "1 1951-06-30  344.455    NaN\n",
       "2 1951-09-30  351.774    NaN\n",
       "3 1951-12-31  356.579    NaN\n",
       "4 1952-03-31  360.195    NaN"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Merge the two gdp data frames and rename columns\n",
    "gdp = us_gdp.merge(china_gdp, on = 'Date', how = 'left').rename(columns={'Value_x': 'US', 'Value_y': 'China'})\n",
    "gdp.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "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>US</th>\n",
       "      <th>China</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>267.00</td>\n",
       "      <td>37.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>6058.74</td>\n",
       "      <td>2739.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>5811.22</td>\n",
       "      <td>3484.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>336.37</td>\n",
       "      <td>286.73</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>874.91</td>\n",
       "      <td>411.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>4015.00</td>\n",
       "      <td>1032.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>10490.20</td>\n",
       "      <td>3571.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>19500.60</td>\n",
       "      <td>11226.19</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             US     China\n",
       "count    267.00     37.00\n",
       "mean    6058.74   2739.24\n",
       "std     5811.22   3484.69\n",
       "min      336.37    286.73\n",
       "25%      874.91    411.92\n",
       "50%     4015.00   1032.58\n",
       "75%    10490.20   3571.45\n",
       "max    19500.60  11226.19"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "round(gdp.describe(), 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Fill in missing China observations using backward fill\n",
    "gdp = gdp.fillna(method='bfill')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
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DDg4ONG7cmFGjRjF48GDjFH9Lc3d3Z+vWrYSFhREbG0tsbCy+vr507dqVcePGMXz4cGJj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\na6BOHQOtWul48808vL2l12dp6gsXTB7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RGxtb4pyhK5QVy7lz58jPz6dXr14A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\noBBCCK/0/z+yXjs8KRnnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x225052e7da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(gdp['Date'], gdp['US'], label = 'US', color =  'b')\n",
    "plt.plot(gdp['Date'], gdp['China'], label = 'China', color = 'r')\n",
    "plt.ylabel('Billions $'); plt.title('US and China GDP'); plt.xlabel('Date');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "## Make Predictions of Future GDP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Create a prophet object for each dataframe\n",
    "us_prophet = fbprophet.Prophet(changepoint_prior_scale=0.2)\n",
    "china_prophet = fbprophet.Prophet(changepoint_prior_scale=0.2)\n",
    "\n",
    "# Prophet needs dataframes with a ds (date) and y (variable) column\n",
    "# Use pandas rename functionality (format is dictionary with {'old': 'new'})\n",
    "us_gdp = us_gdp.rename(columns={'Date': 'ds', 'Value': 'y'})\n",
    "china_gdp = china_gdp.rename(columns={'Date': 'ds', 'Value': 'y'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet.forecaster:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
      "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n",
      "INFO:fbprophet.forecaster:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
      "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n"
     ]
    }
   ],
   "source": [
    "us_prophet.fit(us_gdp);\n",
    "china_prophet.fit(china_gdp);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9     1953-06-30\n",
       "17    1955-06-30\n",
       "26    1957-09-30\n",
       "34    1959-09-30\n",
       "43    1961-12-31\n",
       "51    1963-12-31\n",
       "60    1966-03-31\n",
       "68    1968-03-31\n",
       "77    1970-06-30\n",
       "85    1972-06-30\n",
       "94    1974-09-30\n",
       "102   1976-09-30\n",
       "111   1978-12-31\n",
       "119   1980-12-31\n",
       "128   1983-03-31\n",
       "136   1985-03-31\n",
       "145   1987-06-30\n",
       "153   1989-06-30\n",
       "162   1991-09-30\n",
       "170   1993-09-30\n",
       "179   1995-12-31\n",
       "187   1997-12-31\n",
       "196   2000-03-31\n",
       "204   2002-03-31\n",
       "213   2004-06-30\n",
       "Name: ds, dtype: datetime64[ns]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "us_prophet.changepoints"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hideCode": false,
    "hidePrompt": false
   },
   "source": [
    "### Compare US changepoints to recessions\n",
    "\n",
    "The prophet object only selects changepoints from the first 80% of the data which is why the recent recession does not appear. We can try and correlate the identified changepoints with actual recessions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "recessions = pd.read_csv('data/recessions.csv', encoding='latin')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "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>name</th>\n",
       "      <th>time</th>\n",
       "      <th>duration</th>\n",
       "      <th>max_unemp</th>\n",
       "      <th>gdp_decline</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Recession of 196061</td>\n",
       "      <td>Apr 1960  Feb 1961</td>\n",
       "      <td>10 months</td>\n",
       "      <td>7%</td>\n",
       "      <td>2%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Recession of 196970</td>\n",
       "      <td>Dec 1969 Nov 1970</td>\n",
       "      <td>11 months</td>\n",
       "      <td>6%</td>\n",
       "      <td>1%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>197375 recession</td>\n",
       "      <td>Nov 1973  Mar 1975</td>\n",
       "      <td>1 year 4 months</td>\n",
       "      <td>9%</td>\n",
       "      <td>3%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1980 recession</td>\n",
       "      <td>JanJuly 1980</td>\n",
       "      <td>6 months</td>\n",
       "      <td>8%</td>\n",
       "      <td>2%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>19811982 recession</td>\n",
       "      <td>July 1981  Nov 1982</td>\n",
       "      <td>1 year 4 months</td>\n",
       "      <td>11%</td>\n",
       "      <td>3%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Early 1990s recession</td>\n",
       "      <td>July 1990  Mar 1991</td>\n",
       "      <td>8 months</td>\n",
       "      <td>8%</td>\n",
       "      <td>1%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Early 2000s recession</td>\n",
       "      <td>Mar 2001Nov 2001</td>\n",
       "      <td>8 months</td>\n",
       "      <td>6%</td>\n",
       "      <td>0%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Great Recession</td>\n",
       "      <td>Dec 2007  June 2009</td>\n",
       "      <td>1 year 6 months</td>\n",
       "      <td>10%</td>\n",
       "      <td>5%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     name                  time         duration max_unemp  \\\n",
       "6    Recession of 196061   Apr 1960  Feb 1961        10 months        7%   \n",
       "7    Recession of 196970    Dec 1969 Nov 1970        11 months        6%   \n",
       "8       197375 recession   Nov 1973  Mar 1975  1 year 4 months        9%   \n",
       "9          1980 recession         JanJuly 1980         6 months        8%   \n",
       "10    19811982 recession  July 1981  Nov 1982  1 year 4 months       11%   \n",
       "11  Early 1990s recession  July 1990  Mar 1991         8 months        8%   \n",
       "12  Early 2000s recession     Mar 2001Nov 2001         8 months        6%   \n",
       "13        Great Recession  Dec 2007  June 2009  1 year 6 months       10%   \n",
       "\n",
       "   gdp_decline  \n",
       "6           2%  \n",
       "7           1%  \n",
       "8           3%  \n",
       "9           2%  \n",
       "10          3%  \n",
       "11          1%  \n",
       "12          0%  \n",
       "13          5%  "
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recessions[6:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [],
   "source": [
    "# Make a future dataframe with 50 years of observations \n",
    "# US dataframe and predictions\n",
    "us_forecast = us_prophet.make_future_dataframe(periods = 50, freq = 'Y')\n",
    "us_forecast = us_prophet.predict(us_forecast)\n",
    "\n",
    "# China dataframe and predictions\n",
    "china_forecast = china_prophet.make_future_dataframe(periods = 50, freq = 'Y')\n",
    "china_forecast = china_prophet.predict(china_forecast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Future Predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kkfNHc9bRuTgciXkQLxnFbQ/w//t//4/Zs2czatSortfq6uo45ZRTuv65oKAAv99Pc3Mz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\nr4XXbEgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2250a440dd8>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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kkfNHc9bRuTgciXkQLxnFbQ/w//t//4/Zs2czatSortfq6uo45ZRTuv65oKAAv99Pc3Mz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\nr4XXbEgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2250a440dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "us_prophet.plot(us_forecast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false,
    "hideCode": false,
    "hidePrompt": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6Lg+Lrkq8ru/pGICJiIiIBsGnaNjV5IZJlmBK8JUe/nqiE8/sOI6GrvCur/3Uur6TihOz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\nFAVgEREREQkoCsAiIiIiElD+P8OqOOCLN6L9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22506ec9ef0>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6Lg+Lrkq8ru/pGICJiIiIBsGnaNjV5IZJlmBK8JUe/nqiE8/sOI6GrvCur/3Uur6TihOz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\nFAVgEREREQkoCsAiIiIiElD+P8OqOOCLN6L9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22506ec9ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "china_prophet.plot(china_forecast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# When will China Overtake the United States?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "us_names = ['us_%s' % column for column in us_forecast.columns]\n",
    "china_names = ['china_%s' % column for column in china_forecast.columns]\n",
    "\n",
    "# Dataframes to merge\n",
    "merge_us_forecast = us_forecast.copy()\n",
    "merge_china_forecast = china_forecast.copy()\n",
    "\n",
    "# Rename the columns\n",
    "merge_us_forecast.columns = us_names\n",
    "merge_china_forecast.columns = china_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>us_trend</th>\n",
       "      <th>us_trend_lower</th>\n",
       "      <th>us_trend_upper</th>\n",
       "      <th>us_yhat_lower</th>\n",
       "      <th>us_yhat_upper</th>\n",
       "      <th>us_seasonal</th>\n",
       "      <th>us_seasonal_lower</th>\n",
       "      <th>us_seasonal_upper</th>\n",
       "      <th>us_seasonalities</th>\n",
       "      <th>...</th>\n",
       "      <th>china_seasonal</th>\n",
       "      <th>china_seasonal_lower</th>\n",
       "      <th>china_seasonal_upper</th>\n",
       "      <th>china_seasonalities</th>\n",
       "      <th>china_seasonalities_lower</th>\n",
       "      <th>china_seasonalities_upper</th>\n",
       "      <th>china_yearly</th>\n",
       "      <th>china_yearly_lower</th>\n",
       "      <th>china_yearly_upper</th>\n",
       "      <th>china_yhat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1980-12-31</td>\n",
       "      <td>3833.087377</td>\n",
       "      <td>3833.087377</td>\n",
       "      <td>3833.087377</td>\n",
       "      <td>2756.070455</td>\n",
       "      <td>3176.264583</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>...</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>223.465825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1981-12-31</td>\n",
       "      <td>4093.210971</td>\n",
       "      <td>4093.210971</td>\n",
       "      <td>4093.210971</td>\n",
       "      <td>3010.787584</td>\n",
       "      <td>3450.898403</td>\n",
       "      <td>-860.733951</td>\n",
       "      <td>-860.733951</td>\n",
       "      <td>-860.733951</td>\n",
       "      <td>-860.733951</td>\n",
       "      <td>...</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>-251.744405</td>\n",
       "      <td>254.714115</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1982-12-31</td>\n",
       "      <td>4353.334565</td>\n",
       "      <td>4353.334565</td>\n",
       "      <td>4353.334565</td>\n",
       "      <td>3281.809178</td>\n",
       "      <td>3703.796527</td>\n",
       "      <td>-857.883405</td>\n",
       "      <td>-857.883405</td>\n",
       "      <td>-857.883405</td>\n",
       "      <td>-857.883405</td>\n",
       "      <td>...</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>-237.173828</td>\n",
       "      <td>287.218005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1983-12-31</td>\n",
       "      <td>4653.604297</td>\n",
       "      <td>4653.604297</td>\n",
       "      <td>4653.604297</td>\n",
       "      <td>3590.599993</td>\n",
       "      <td>4020.658519</td>\n",
       "      <td>-852.553549</td>\n",
       "      <td>-852.553549</td>\n",
       "      <td>-852.553549</td>\n",
       "      <td>-852.553549</td>\n",
       "      <td>...</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>-221.365437</td>\n",
       "      <td>320.959709</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1984-12-31</td>\n",
       "      <td>4967.871419</td>\n",
       "      <td>4967.871419</td>\n",
       "      <td>4967.871419</td>\n",
       "      <td>3892.463860</td>\n",
       "      <td>4326.715660</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>-861.105061</td>\n",
       "      <td>...</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>-265.059384</td>\n",
       "      <td>295.248206</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 31 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        Date     us_trend  us_trend_lower  us_trend_upper  us_yhat_lower  \\\n",
       "0 1980-12-31  3833.087377     3833.087377     3833.087377    2756.070455   \n",
       "1 1981-12-31  4093.210971     4093.210971     4093.210971    3010.787584   \n",
       "2 1982-12-31  4353.334565     4353.334565     4353.334565    3281.809178   \n",
       "3 1983-12-31  4653.604297     4653.604297     4653.604297    3590.599993   \n",
       "4 1984-12-31  4967.871419     4967.871419     4967.871419    3892.463860   \n",
       "\n",
       "   us_yhat_upper  us_seasonal  us_seasonal_lower  us_seasonal_upper  \\\n",
       "0    3176.264583  -861.105061        -861.105061        -861.105061   \n",
       "1    3450.898403  -860.733951        -860.733951        -860.733951   \n",
       "2    3703.796527  -857.883405        -857.883405        -857.883405   \n",
       "3    4020.658519  -852.553549        -852.553549        -852.553549   \n",
       "4    4326.715660  -861.105061        -861.105061        -861.105061   \n",
       "\n",
       "   us_seasonalities     ...      china_seasonal  china_seasonal_lower  \\\n",
       "0       -861.105061     ...         -265.059384           -265.059384   \n",
       "1       -860.733951     ...         -251.744405           -251.744405   \n",
       "2       -857.883405     ...         -237.173828           -237.173828   \n",
       "3       -852.553549     ...         -221.365437           -221.365437   \n",
       "4       -861.105061     ...         -265.059384           -265.059384   \n",
       "\n",
       "   china_seasonal_upper  china_seasonalities  china_seasonalities_lower  \\\n",
       "0           -265.059384          -265.059384                -265.059384   \n",
       "1           -251.744405          -251.744405                -251.744405   \n",
       "2           -237.173828          -237.173828                -237.173828   \n",
       "3           -221.365437          -221.365437                -221.365437   \n",
       "4           -265.059384          -265.059384                -265.059384   \n",
       "\n",
       "   china_seasonalities_upper  china_yearly  china_yearly_lower  \\\n",
       "0                -265.059384   -265.059384         -265.059384   \n",
       "1                -251.744405   -251.744405         -251.744405   \n",
       "2                -237.173828   -237.173828         -237.173828   \n",
       "3                -221.365437   -221.365437         -221.365437   \n",
       "4                -265.059384   -265.059384         -265.059384   \n",
       "\n",
       "   china_yearly_upper  china_yhat  \n",
       "0         -265.059384  223.465825  \n",
       "1         -251.744405  254.714115  \n",
       "2         -237.173828  287.218005  \n",
       "3         -221.365437  320.959709  \n",
       "4         -265.059384  295.248206  \n",
       "\n",
       "[5 rows x 31 columns]"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Merge the two datasets\n",
    "gdp_forecast = pd.merge(merge_us_forecast, merge_china_forecast, how = 'inner', left_on = 'us_ds', right_on = 'china_ds')\n",
    "\n",
    "# Rename date column\n",
    "gdp_forecast = gdp_forecast.rename(columns={'us_ds': 'Date'}).drop('china_ds', axis=1)\n",
    "gdp_forecast.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Future Plot with Uncertainty"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+fixevJg5c+YwdepUj/Pq1q3L4sWLeeyxx/j8889xuVykpqaybNkyVq1ahd1u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oLB8sknRF5xBbbCwoBxf8N67B47jM9rNWLolGuJiIgIUYUiIpWDwq6IVBk7crw89lMeb2wvoIL7\nznAYHgZGZvDQoFbUTWga3AKDxPbPf2KfPh2zPzDp+9q3ZNOQC9jZogOXjL5cqy2IiKCwKyJVwK/Z\nxcz9LYK1X2bgryDkOg0PA+0ZPDSoNXVqhWfIxTCo9/e/43zxxTKbvD278sl558B5/RnQt38IihMR\nqZwUdkWk0volq5iHN+WxfFchRgVfrqKMIgbZM3hgUJvwDbkAHg+R119P7JtvltlUNLQ/77ZpQ4tL\nx9GibbsQFCciUnkp7IpIpRMYcstXw3BzoT2DhYPbUrtms6DWF3TZ2divuILIr74KGDasFnIvG8o7\nTVrQ96r/o2ZCQogKFBGpvBR2RaTSOJ6QG2sUcpE9g/subEet+OZBrS8UTHv2YL/0UiJ27AgYN6Ic\npI4ZxvpWZzFk8lQiIyNDVKGISOWmsCsiIXc8ITfGm88l0QeYP/hMasa3CGp9oWL54Qfso0ZhPXQo\nYNyfUJPvRw4h9dw+XDx8pG5EExE5CoVdEQmZn7OKefjHPN7dXXHIjTcKuMSZwfiWUXTt0juo9YWS\ndfVq7JMnY3G7A8Y9jeqx9uILiRk+hvO7dQ9RdSIiVYfCrogE3c9ZxSw6EnIrEm8UcGn0Qe4ZfCax\nMS1JTk4OYoWhFfHcc9jnzMH0p6XFPGe14YVuXel33QzqN2oUoupERKoWhV0RCZqth4tZtCmX/+x2\nV7hPvN/F6NhD3HPhWURHtQxidZWA10vk3Xdj//vfy2zK7dWVd/oPosP5AxV0RUROgMKuiJx2Px0u\nZtGPuazYU3HIrWm4uCzuMPdceDZOR6sgVlc5mLKysE+eTMT69QHjhslE6uA+bBg6govHjmfnzp0h\nqU9EpKpS2BWR02bTIQ8P/ZjHqpSjzOQaLkbHZDL3wrOJiqp+IRfA/MsvOMaOxbpnT8C4EWHju4sH\ncviKqxh8vh4UISJyMhR2ReSU+zHTw4M/5rEm9egzuZdGH2DeRR2Jjq6eIRfAumoVjquvxlxQEDDu\nj63BB5dcSL3rZ9G9desQVSciUvUp7IrIKfPNgSIe/jGPtfuKKtynpuHiEmcG8y48i9jY6htyMQwi\nH3kE+8KFZTZ5GtfnnRGX0OPm24iLjw9BcSIi4UNhV0T+EsMw+CLdw8Ob8vgsreKQW8ufz6U1DnDX\noGoecgFcLpzTpmH7z3/KbMrq1J7VY69g4FXXYLPZQlCciEh4UdgVkZNiGAYf7y/ikU15bMjwVLhf\ngj+fUTEHuevCjkRH69fxpowMnGPHYv3hh4Bxw2xiW//ebJ88lYsuHKoHRYiInCIKuyJyQgzD4KN9\nRTz4Qy7fZRZXuF9tfx5j4g5x++COREUp5AKYf/sN56hRWFJTA8YNp4P1QwcSPf0Wep3ZIUTViYiE\nJ4VdETkuxxty6/lzGJ+Qw8yBHXE42gSxwsrN8vnnOMePx5yTEzBeXDeBdy8dTteZc6iZkBCi6kRE\nwpfCrogclWEYrNtXxIM/5vLtwYpDbiN/Flc3LOL6/mdjtepLy/+yvfEGjhtuwFQc2L/8Fmfw/sTJ\n9L92GhERESGqTkQkvOk7koiU6/eZ3IeOEXKb+g9zU0uY0Ks9ZrM5iBVWAYZB5KOPYr/vvjKb0ju2\n5783zWTw8Et1fa6IyGmksCsiAQzDYO3ekpB7tMsVmvoPcVs7G2PPPVNhrTzFxThmzSJi2bIym35J\nOpcDt99NUo+eIShMRKR6UdgVEaAk5H54JOR+f4yQe0sbC1ec10EhtyK5uTgnT8a2bl3AsGGxsGHw\n+UTNW0jHltV8+TURkSBR2BWp5gzD4IO9bh76MY8fjhJym/gPMauVmfG9FHKPxrRvH87LLsO6dWvA\nuN9hZ82IYbSZfz+1atcOUXUiItWPwq5INWUYBqtT3Sz6MY8fDx19JvemljCxt0LusZi3bME5ejSW\ntLSAcW9cDO+Nv4Ied9yD0+kMUXUiItWTwq5INWMYBitTSkLu5sNHC7mZ3NQCJiadpZB7HKwff4xj\nwgTM+fkB4wX167Dm/66j77TpWCyWEFUnIlJ9KeyKVBN+w+D9PW4WbcpjyzFC7o3N/Ezqc7ZWVzhO\ntldewXHzzZh8voDxzFZN+ea22zl/5Gj9wCAiEiIKuyLVwPr9buZ+m8umo12u4DsScvsq5B43wyBy\n4ULsjzxSZtOOzh3Yd9+D9DxPKy6IiISSwq5IGPsx08P873L5ZH9RBXsYNPNlcmMzHxP7dlLIPRFF\nRThuuIGIN98MGDZM8F3fXkQ88jhnN28RouJEROR3CrsiYWhXrpf7vs/l7V2FFexh0PxIyJ2gkHvC\nTFlZOMeNw/rVVwHjhtXKxxdfRPNHHie+Zs0QVSciIv9LYVckjGQV+bn/h1xe+tWF1yh/n2a+TG5q\n5uVKhdyTYtq9G+eoUVi3bw8Y90U5WD3uCrotWIjdbg9RdSIi8mcKuyJhwG8Y/DO5gHnf5nK4yF/u\nPvX8OVzf0MW0AV0Uck+S5bvvcIwZgyUzM2C8qFYcH15/Pb1unqXeiohUMgq7IlXc5kMebtmQwzcH\nPeVuj/e7mFDrEHdc2JnIyMggVxc+rCtW4Jg6FbPbHTCe26g+X9x+O70vH68VF0REKiGFXZEqKsfj\nZ+H3ubzwqwt/OZcsRBlFDHem8eDQs6kRrUfTnjTDIOLJJ7HPm4fJCGx0etuW/LzgXnoOGByi4kRE\n5FgUdkWqGL9h8O8dhdzzbQ4HCstesmDBT5J5L09f1Ip6tZuFoMIwUlCAY/p0It56q8ym37p3JuuB\nh+nSuUsIChMRkeOlsCtShfz3gIc5G7P5LrP89XLP8GXyUJdIBnfqEeTKwo8pNRXn+PFYN20KGDfM\nJv57QR/sDzxCWy0tJiJS6SnsilQB+1w+5n+bw793lr+UWJRRxITYdBZc3A2bzRbk6sKPZcMGnFde\niflPN6L5HXY+GjaYZvc+SO06dUNUnYiInAiFXZFKrNBr8EKKlVe+zqCgnLXEzBic40/hmQub0aT+\neSGoMPzYXn4Zxy23YCoOnD0vTqzFf0ZfSvfb7iImNjZE1YmIyIlS2BWphDw+gzd2FPDQj3nsdUUA\nZYPuGf5DzG5ezOV9emgVgFPB68V+++1EPv98mU15rZuxasJE+l8zTTPnIiJVjMKuSCXi9hq8ut3F\n3zbns9flK3efOKOAiXEHuGNIVy0ldqrk5+O86ipsH35YZtOe87qx+dppDLp4uH6oEBGpghR2RSqB\nAq+fpb8VsHhLHmkF5T8UIhIvg6x7+dvQdtSKbxnkCsOXKT0d55gxZW9Ei7DxzaB+eG++jaQuXUNU\nnYiI/FUKuyIhlFfs58VfXTy1JZ+D7vJDrskw6Mx+Hu9Tjw7Newa5wvBm/uUXnKNHY9m7N2DcHxvD\n+5cModVtd1CvYaMQVSciIqdC0MOuYRjMnz+fFi1aMH78eHw+H0888QQbNmzA5/Mxbtw4Ro4cCUBK\nSgr33XcfOTk5OBwO5s2bR5MmTQB47733ePXVV/F6vXTr1o1bbrkFq9WK2+3mvvvuY9u2bfj9fm64\n4Qb69u0b7NMUOarDbh/P/OLi2Z/zyfGU80QISm4+a+9PY3JiLpOHnq9foZ9ilk8/LVlxITc3YNxT\nL5F3Lh9L0szbiIqODlF1IiJyqgQ17O7atYtFixaxdetWWrQoWZ9y+fLlpKSk8Prrr1NQUMCUKVNo\n06YN7du355577mHs2LEMHjyYr776ijlz5vD666+zc+dOnnvuOV555RViY2O55557eO2115gwYQLP\nPfccTqeTf//736SnpzNlyhTatm1LnTp1gnmqIuVKL/CxZGs+L/7qwlXO6gpQ8lCIs/xp3NEpmgs6\ndWX79u0KuqeY7V//wnHjjWVWXMhr2YTVV09l4NXXYbFYQlSdiIicSuZg/sfeeustLrnkEvr37186\ntn79eoYOHYrVaiUmJoYBAwawevVqDhw4wJ49exg4cCAA5513HoWFhfz22298+umnJCUlER8fj9ls\nZsSIEaxZswaATz/9lOHDhwNQt25dzjnnHD766KNgnqZIGSn5XmZtyObsN9NZvCW/3KBrxU9Xfypv\ndy7g46u6MaBzO4XcU80wiFy0COd115UJummd2vPpXfcw8JppCroiImEkqDO7t956KwAbN24sHcvI\nyAiYdU1MTGT79u1kZGSQkJCA2WwO2HbgwAEyMjKoX79+mfHfj5eYmFjutmNJTk4+uRM7DSpTLaFU\n1fuwt9DE0r023j9gwWeUH1xthpd2hTuY1sygU/NGmEwmtm/fHrBPVe/DqfJX+mDyejnj/vuJXbGi\nzLYfunfil6n/R6t2Hcr0vjLS++EP6kUJ9aGE+lCiuvWhZcuj37Qd8hvU/H5/mdkrs9mMYRhlxg3D\nKN1W3nh5xzMM47hnaY7VrGBJTk6uNLWEUlXuw/acYh7dnM+/dxTgK/9qBex4OZd93HNeXTq3Ob/C\nY1XlPpxKf6kPOTk4J07Etn59wLBhsfDlhRcQM38hQ6rIo3/1fviDelFCfSihPpRQH8oKeditW7cu\nBw8eLP33wYMHSUxMpE6dOmRmZgaE3j9v+11mZmbpbG7dunXJzMykVq1apdtatWoVxDOS6uy37GIe\n3ZTHW7sK8VcQcp146G3ax4I+Z9C6qZ56drqZ9u7FedllWH/+OWDc77Sz5tJLaLfgAeJr1gxRdSIi\ncroF9Zrd8iQlJbFixQq8Xi95eXmsXbuWvn37UqdOHRo2bMjatWsB2LBhA2azmRYtWpCUlMRnn33G\n4cOHMQyD5cuX06dPn9LjLV++HCi5pGHDhg306tUrZOcn1cPPWcVctf4w5y4/wL93lh90o40ihlt2\n8vUgO29M6kXrplrS6nQzb9pEVP/+ZYJucXwsy6+eQpdHnlDQFREJcyGf2R05ciT79u1j3LhxeL1e\nRowYQefOnQG47777uP/++3nxxReJiIjggQcewGw207JlS66++mqmTZuG1+ulffv2TJgwAYBrrrmG\nhx56iDFjxuD3+5k+fToNGzYM5SlKGNt0yMPDP+bxfoq7wn1iDDeDIvZz78A21E3sHcTqqjfr2rU4\nJk3C7HIFjBc0qMsH0/6P8//vxoB7AkREJDyFJOzOnTv3jwKsVmbOnFnufo0bN+aZZ54pd9uwYcMY\nNmxYmXGn08n8+fNPTaEiFfjuoIdFm/L4ILXikBtrFDLEns6Cwe1IqNk8iNWJbelSHLNmYfIFPnI5\ns1Uzvpk9h36XjtZKFyIi1UTIZ3ZFqpINGUU8simPdfuKKtwn3ihgmDOD+YPPJD6uatz0FDb8fiIX\nLMD++ONlNu3scjapC+6jZ0/NrouIVCcKuyLHYBgG6/cX8cjmPL5M91S4X02/ixE1DnDP4LOIjdGd\nsEHnduOYNo2Id94JGDZM8EO/XpgfeJSOrVuHqDgREQkVhV2RChiGwZpUN49syuO7zOIK90vw5zM6\nNpM7B59NdLRW/ggF0+HDOC+/HOv/rOENYNisfDJ0MI0ffJTaeoqiiEi1pLAr8ic+v8F/dhfy2E/5\nbDlccchN9OcyNj6LOYM74nRqxjBUzDt34hw9GsuOHQHjvignq8aOpvO8+4iuUSNE1YmISKgp7Ioc\n4fEZ/GtHAU/8lMeOXF+F+9X3Z3Nl7TxmDOyI3d42iBXKn1m++Qbn5ZdjPnQoYNxTuyYrJk2kz213\nYLPZQlSdiIhUBgq7Uu25iv0s3VbAki157C/wV7hfE/8hrj3Dy9S+Z2G16n+dULO9+iqOm2/GVBw4\n++46owFrrr+B86++VkuLiYiIwq5UX/tdPpZtc/HcLy4OF1UUcg1a+g8xq62NMT06aLmqysDrxX7X\nXUSWsyzhwTNbs3HGLfS/dJQ+VyIiAijsSjXj9Rt8tM/N0t8K+HCvu8JH+powOJMD3NU5jkFnnx3c\nIqVCpsOHcUyejO3TT8ts29mjK7tvv4veSX2DX5iIiFRaCrtSLaTke3llWwGvJruOeqmCBT8dyWD+\nuQn0ats5iBXKsdi3bydq1Cgse/YEjBtWK/8d3A9m30WXDvrBREREAinsStjy+AxWp7p5ZZuLdfuK\nqGASFwAbPrqRxr296tKlZdeg1SjHx7piBW2mTsXiDnxinS+2BqsuGUKLW++kfqNGIapOREQqM4Vd\nCQoum3IAAB/WSURBVDvbc4pZtq2A17cXcNBd8SwuQJxRwLmWg9zVuxFnNusepArluBkGkX/7G/YF\nC8pscjduwPLLx9DnxplERUeHoDgREakKFHYlLOQV+1mV4mbZNtdRn3IGJZcqtPIfZFSdIq7t24Ho\naD3trFLyenHMmkXEyy+X2ZTRsT1fXvN/DB57hVZcEBGRo1LYlSrLVeznw71ulu8q5MO9btwVL40L\nQE3DRU/bQWacU49OrTrpbv3KLC8P56RJ2NatCxg2zGY2nd+bnFm30b9HzxAVJyIiVYnCrlQpBV4/\na/cW8e6uQj7Y66bAe7QrccGKn7b+DEbXK+bqvmfjdOpxvpWdKS0N5+jRWLdsCRj3RUawdvhQmtw9\nn6YNdX2uiIgcH4VdqfQOuX2sSXWzKsXNx/vcFB5jBhcg0Z9Hr8hMZvVoRLtmXTSLW0WYt27FMWoU\n1rS0gHFvXAyvDL2IwYsew+l0hqg6ERGpihR2pVLanefl1X1Wvkk+yNcHPBWuh/u/nIaHthzkisYw\nvvfZREa2Of2Fyilj+fRTHOPGYcnPDxh310/k/anX0HbwEAVdERE5YQq7UikYhsGv2V7e21PIe7sL\n2ZrlBSKAo99s5sRDGyOTCxOKuapna2rVahqUeuXUsr32Go4bb8TkC5y2z2nZhI9vnM4FV05m+/bt\nIapORESqMoVdCRnDMNh0qJj39hSyYo+b5Bzvcb3OiYdWxiEG1ypiSs/W1E5QwK2yDIPIBx/E/tBD\nZTbt79yBzbfM5vyLhoagMBERCRcKuxJUPr/BNwc9rDgScFPzj+MCXErWw21rOsygRD/ju7ckQQG3\n6vN4cEyfTsS//lVm0y99z+PA7DvpoRUXRETkL1LYldOu2G/weVoRK/YUsnKPmwPHeNBDCYOE4iw6\nReYxuqmdoV3b4HRqPdywkZ2Nc8IEbJ99FjBsWC18fdEFRNw+l45t24WoOBERCScKu3JaFHj9rNtX\nxPt7ClmT6ibHc+w7zEwYNPDn0DUim0ln1qSO3UrbtucFoVoJJlNKSsnSYr/9FjDudzr4YPgQmt4x\nl3paWkxERE4RhV05ZbKL/Hyw182K3YWsO84lwiz4aWxk08OZxzWd63N2y3aly4QlJyef5ool2Mw/\n/ohz9GgsBw8GjHtrxvGfsZdxzuw7iYmNDVF1IiISjhR25S/Z5/KxOqWQVSluPksr4hjPeADAho8m\n/iz6xBbwf93PoHmjDqe/UAk565o1OCZPxlxYGDBe2LAeK6Zcxfk33IzNZgtRdSIiEq4UduWEGIbB\nz1leVh4JuD8eKj6u10Xio5k/kz4xBVzXoylNGp59miuVyiTiH//AfuutmPyB12tntmnOlzfPYuCY\ny/XgDxEROS0UduWYfH6DjQc8vJ9ScoPZnuNcQcFJMS2MTPrUKOCq7s1o0qiTAk114/djnzuXyMWL\ny2za0a0jqXMX0LdXUggKExGR6kJhV8pV5DP4dH8R7x+Zwc08rhUUoAZFtDYyuSC+iEk9WlK3btfT\nXKlUWoWFOK+7Dtt//hMwbJhMfNs/iYgHHqZTy1YhKk5ERKoLhV0plevx89FeNytT3Hyw101+8XFc\ngItBguGinTmLAbW8XHFeW2rVanbaa5XKzXToEM4rrsC6cWPAuGGz8dHFF9LioceomZAQoupERKQ6\nUdit5va7fKxO/eMGs+LjmMA146eBP4dOETlc3jKafh1bY7e3Pv3FSpVg3rYN59ixWHbuDBj3RUex\n8orL6Db3PpxRUSGqTkREqhuF3WrGMAx+yfayKsXNqpRCvs88vhvMbPhoZhymZ3QBU7s0oE2z9rr+\nVsqwfvABjquvxpyXFzBeVLsmq6ZOJWnmrVit+rIjIiLBo+861YDXb7Ahw8OqlEJWp7rZnXd8N5jZ\njWJamA7TL9bNNT2a0ahex9NcqVRZhkHk448TuWABJiPw8pfcJg35dOYs+l05ST8giYhI0Cnshqlc\nj5+P9xWxKrWQD1PdZB/HE8wAahhuWpuyGFCrmKt6tqJ2rSant1Cp+goKcFx/PRHLl5fZlNahDVvv\nmkvSoAtDUJiIiIjCbljZletldaqbD1LdfJl+fA94AEjw53OmJYtLG9u49JzWREc3P72FStgwpabi\nuPxybFu2BIwbZhOb+/ak4K75dOvcJUTViYiIKOxWad4j699+kOpmTaqbbTne43qdGYMG/mw6ReQw\nvm0s/c5urSdXyQmzfPUV9vHjsR4+HDDud9hZe/FFNJ17L03qNwhRdSIiIiUUdquY7CI/6/aVhNu1\ne4//8oQIfDQ1DnNuVD5TOjegQwvdYCYnz/bvf2OfNg2zN/AHrKLatVg58Up63jIHu90eoupERET+\noLBbyfn8Bj8dLuaztCI+3OtmQ4YH33FenhBjuGlpyqJfTQ9XdW9O/bq6wUz+IsMg8tFHsd93X5lN\nmS2b8vXMWZw/dpx+kBIRkUpDYbeSMQyDHS4Tn/ycz2dpRXyRXnTcs7cmDOr6c+lgy2ZkEwfDurbG\n6dT1t3KKFBfjmDWLiGXLymz6uUdXcu57kN5d9MQ8ERGpXBR2Q8wwDHbm+vg8vYjP00r+HHA7gJzj\nen0EXpoaWXRzuriqUz06tmyD2Ww+vUVL9ZObi3PSJGwffxwwbFgsfDZkIA0efpx2deqEqDgREZGK\nKeyGQFqBj3X73HyeVsQXaR72FRzfure/izUKaW3K4oLaPiZ2b06d2mecpkpFwLR/P87Ro7Fu3Row\n7rdH8sHlY+j8wCJdnysiIpWWwm4IrNhdyG0bj2/mFkqeXlbfn0M7Wy4jm0cxpHNrHI4Wp7FCkRKW\nb74hcsIErOnpAePFcTGsvuZqet52h56IJiIilZq+S4VAUv3Io263GD7qGXm0tuaSlAAjO51Bg3pn\n6qYfCZ7sbCLnzsX+8stlNrnqJfLxrJkkTblW70kREan0FHZDoHWsFSfFFFCytq0Zgzr+XFpY8uge\n46FbnJcBffvo2lsJPsPA9uabRMyZU2b9XChZceH7u+4h6ZIRIShORETkxCnshoDJZOJszx7MkQ7O\nifEwukN9WjVtVfrr4OTkZAVdCTrz9u1EzpxJxGeflbt9V5ezSFmwkO49ewe5MhERkZOnsBsiq6/t\nE+oSRAAw7dtHxAsvEPHUU5iLi8ts9yXU5LPzexNz8210bNc+BBWKiIicPIVdkerI78f6ySdYnn+e\nyA8+wGSUXcvZsFpI6dGFLy8cSs8rJhAXFxeCQkVERP4ahV2RasR06BC2V1/F8sILRKSkVLhfYbPG\nrB5wAY0nTmGIZnNFRKQKU9gVCVd+P+bt27F89x3GN9/Axq9x/LYNs6/idZ390U6+63MeaWPG0eei\nYVpWTEREqjx9JxMJB0VFmLdtw7x1K94ffoDvvsO5dSu2wsLjermvXm22d2jD9z37ct6Eq2gVH3+a\nCxYREQkOhV2RqsLvx5SejiklBU9yMp5ff8W8eTP27cnUyDiA2e8/ocMZFguFZ7bmm/ZtSe92Lh0H\nXsRFDRqcpuJFRERCQ2FXpLIoKsK8bx++nTvx7NiBf8cO2LOb+jt2YMnOxpGVjeUolyAcL39iLdI7\ntOarDmcT2bUHXc+/gE5O5yk4ARERkcpHYVfkdDEMyMzEvW0bBT//TNGvP+NLS8fmyieioABbQUHJ\nx0I3kfkuHPn5p74Epx1fo/rkJCawNzGB3fXrk1+3AU16JNG/Yyet5ywiImFPYVfkZHk8mPbvx5ya\ninvbNjzJyRi7dmJJ3Ysz8yDOrGysxcXEBqkcIz4WX93a5MTHsrdWTfY1bERe4zOwxNUisWUrGjZt\nTp+aNfWIXxERqVYUdkX+zOPB5HJBbi7e1FSKd+7Eu2sXxp7dWPbuJSLjAM6sw9jz8jAdWZ42Okil\nGU4HRnwsRnwM/vhYcmKiSY2LY3ftOhQl1sUSn0D9Nu1o3LwFTWJiglSViIhI5aWwK+HP58N0+DD+\n1FQKtm2jKDkZ384dWPftw3H4EJF5+diKirAWebB6PKfkutiTYZiAmBolYbZmLN7YGNw1ojhggvyE\nBPZHR+OKqoFhj8LkjAJnFAlnNKVxqzb0S0jQjK2IiEg5FHal8vF6obAQS34+5OT8MX4kzJl8PkzZ\n2XD4MP6DB/FnZmIcOlTy5+BBjLQ0TAcysGVlEZmbR0RBAeYjTwgL9jPAjAjbkfAahxEXg9sRSaHV\nSr7VSn5kJDkRkRQ4oyiuUYOCWrUw7A6wRUBEBFZnNFExsRx2FXB21250rVULu90e5DMQERGp2hR2\nqyufD9xuTEVFf3wsLCz9t9/lwudy4c3Lw19QgC8/H39hIf7CQgybDbPdDhERmO12TEc+mv1+jIIC\n/C4XFBRgFBTA//wxFbgwud2Y3W5MhW7MniIs7iIsniIsniOzqp7i0pnVTiFu0bGUzsTGxWDEx+KP\ni8EbG43L6eSQPZJ9NWpwKNKJEVUDw1kyGxudUIcatROJqVmLGjEx1K1Rg4iIiKP+d5KTk2mgJcFE\nREROisJuKOTlUfTqqxTl5uJ3uTBcLozCI+GwsBBHVhZZZjNmjwdzcTHWIx8tXi+W4mIsHg/m3/9e\n7MXi9WKYTPgtFvxWS8lHiwWf1YphNmP2+Ur29Xoxe30lH09wTdbqxDCZIDIC7JEYUQ78sTEU1Yii\nIMpBdlQUWTVqkBldMhPrdzggIhJskRARiS2qBtG1alGrfkNaJCbSOSZGlxeIiIiEUFiG3S+++IKn\nn34aj8dDixYtuOuuu4iODtYtRMdmyskhcc6cU35ci88HnlN+2LBgOOwYsTUwYmqUBFenneyoKA5H\nR5MbHY3HGYXXYafY4cRnd4DVAmYr2GwQaadGQiIxiXWIS6hNvZgYWtWooRArIiJSBYRd2M3KyuLe\ne+/l+eefp3HjxixevJglS5Ywe/bsUJf2B113eVSGCbDZMEymPwLlkWtugZJrdx12jCgHhtOB32HH\nExlBUYSNwsgIcp1OcuwO8pxRuOPiKIqNxe90QoQd7A5iatchtm494mol0CguDofDoeAqIiISpsIu\n7G7cuJF27drRuHFjAEaOHMm4ceO47bbbKk2gMSIjQ11CSaC0Hpm5tFkxrNaS2UybDawWjCPj2Kxg\ntWL8PmY2Yfh8GD4/eH0l1/76fOD1YZhN+CwWvBYLPouFYquZYquNYqsVr81KsbXkj8dixWO14LFa\n8dkiKLZH4ou047VH4o104I+MAJuNQ4ezqVWr5pGga4DBH3+3WANv5IqLJyquJtFxcUTXqEGT6Gjs\ndnul+ZyLiIhIaIRd2M3IyCAxMbH034mJibhcLlwu1zEvZUhOTj7d5QFg8npxtm5BYqQVv9WCYbFg\nHLnW1rBaKDabKTJBocVCgdlCgcmC22bFa43AG2HFZ7HitdrwWS14bVZ8FgsYYPV6sBR7sRYXY/N6\nsRt+7IafYrMFl9lMkc2G1xZBcUQkPpsNw2rFMFvAZAazGb/ZXPp3w2QCkwmDko8l/zQf+bsJk9mC\nyWzGfOQPZjMmswWbPRJrpB1LZCS2iEhsERHYbDasVisWiwWz2YzFYsFqtRL1+2sr0Owkeuv1+cjO\nziY7O/vkP0GVULDem5Wd+lBCffiDelFCfSihPpSobn1o2bLlUbeHXdj1+/3lzuZZLJZjvvZYzTqV\nkl96mZ/+d1mt/5F24ACt25+Jw+kkzunE6XRis9lOaJbS5/NRVFSEx+PBYrFgt9ux2WynqvygSE5O\nDurnpLJSH0qoDyXUhz+oFyXUhxLqQwn1oaywC7t169Zl69atpf8+ePAgMTExOByOEFZVVst27Svc\nFp2cTPMWLf7S8S0WC84jQVlERESkuqr4d8hVVPfu3dmyZQspKSkAvPPOOyQlJYW4KhEREREJhbCb\n2a1ZsyZ33303c+bMwev10qBBA+bNmxfqskREREQkBMIu7AL07NmTnj17hroMEREREQmxsLuMQURE\nRETkdwq7IiIiIhK2FHZFREREJGwp7IqIiIhI2FLYFREREZGwpbArIiIiImFLYVdEREREwpbCroiI\niIiELYVdEREREQlbCrsiIiIiErYUdkVEREQkbCnsioiIiEjYUtgVERERkbClsCsiIiIiYUthV0RE\nRETClik7O9sIdREiIiIiIqeDZnZFREREJGwp7IqIiIhI2FLYFREREZGwpbArIiIiImFLYVdERERE\nwpbCroiIiIiELYVdEREREQlbCrsiIiIiErasoS6gujAMg/nz59OiRQvGjx9PTk4ODz30ENu2bcPh\ncDB06FDGjBkDwM6dO3nggQcoKCjAZDJx/fXX06NHDwBeffVV3nvvPSwWC/Hx8dx+++00bNgwlKd2\nQk6kD99++y1PPPEEPp+P2NhYZsyYQatWrYCq3YfVq1fzyiuvYDKZsNvtzJo1i3bt2rF06VJWrlyJ\nz+dj8ODBTJ06FZPJRFZWFvPmzSM9PR2TycQdd9zBWWedddRjVQUn2offff311yxevJhXX331mMeq\nCk60D6mpqTz00ENkZWXh9Xq5+OKLGTduHAAbNmzg73//Oz6fD7PZzPXXX8+5554b4jM8fifai+Tk\nZB566CEKCgowm81MmzaN884776jHqgpO9v+N3NxcJkyYwI033kj//v2Bqv2eONE+bN++nSlTpgR8\nL7j//vs544wzqlUf3G43ixcvZtOmTRQWFjJ8+HCuvPJKoGq/H/4Khd0g2LVrF4sWLWLr1q20aNEC\ngL/97W84HA7eeOMN/H4/t956K/Xr16d3794sWrSIYcOGcfHFF/Pbb79x3XXXsXbtWr7//nvee+89\n/vGPfxAdHc1bb73FggULeO6550J8hsfnRPrQqVMnZs+ezQMPPMA555zD7t27ueWWW3jttdf48ccf\nq2wf9uzZw5NPPskrr7xCQkICX375JbNnz2bOnDl89NFHLFu2DLPZzPTp02natCkDBgxg0aJFdOzY\nkcmTJ7Nt2zZmzJjB22+/TUZGRrnHWrFiRahP85hOpg9ut5uXXnqJt956i9q1ax/zWOHahwULFjBk\nyBCGDx9Ofn4+EydOpFWrVrRt25a7776bZ599lubNm5OcnMy1117LihUriIqKCvWpHtPJ9GLu3Llc\nc8019O3blx07djBlyhTWrl3L/v37q9V7Av6YSMjPzy89Vn5+fpV9T5xMHzZv3sygQYO44447Ao5V\n3frw1FNPkZOTw8svv0xhYSHjxo2jY8eONG3atMr24a/SZQxB8NZbb3HJJZeU/qQN8Ouvv3LRRRdh\nsViw2Wz07NmTjz/+GACfz0deXh4ALpeLyMhIAGrVqsXs2bOJjo4GoG3btqSnpwf5bE7eifQhJSWF\n6OhozjnnHACaNGlCVFQUP/30U5Xug81m48477yQhIQEoqf3QoUOsW7eOQYMG4XA4iIyMZNiwYaxZ\nswav18sXX3zB8OHDAWjVqhWNGjViw4YNFR6ruLg4ZOd3vE60D1Ayo1tYWMjcuXOP61jh2oeLL76Y\nwYMHAxAdHU2jRo1IT0/H6/Uye/ZsmjdvDkDTpk0xDIPs7OzQnNwJOpleLFu2jD59+gCwd+9eoqOj\nMZvN1e49AfDiiy/SvHnz0okEoEq/J06mD5s3b2bXrl1ceeWVTJo0iU8++QSoXn0wDIPVq1dz7bXX\nYrFYiI6O5umnn6ZJkyZVug9/lWZ2g+DWW28FYOPGjaVj7du3Z9WqVZx99tl4PB4+/vhjrNaST8dt\nt93GtGnTeP311zl8+DALFy7EarWWvkEBPB4PTz31VEBwrOxOpA+NGzemsLCQr7/+mnPPPZeff/6Z\nnTt3kpmZSZcuXUpfX9X6UL9+ferXrw+UzMQ8/vjjJCUlkZmZGfCrpMTERA4cOEB2djaGYRAfH19m\nW79+/co9ls1mC+5JnYQT7QNA37596du3L999991xHStc+zBs2LDS8Q0bNrB582buuusu4uLiSmf5\nAJ577jkaN25MgwYNgnQ2f83J9MJqtWIYBiNGjCAtLY2ZM2disViq3Xti48aNfP/99zz55JNcf/31\npftU5ffEyfTB4XAwaNAgRowYQUpKCtdddx116tShXbt21aYPWVlZFBQU8M0337Bw4ULy8vIYNmwY\nY8eOBaiyffirNLMbIjfffDMmk4nx48dz66230r17d2w2G0VFRdx5553cc889vP/++zz77LM88MAD\nZGRklL42KyuLG2+8EafTybRp00J4Fn9dRX2Ijo7m4YcfZunSpVxxxRWsXLmSrl27Bnyzqsp9KCws\n5Pbbb2fv3r3ceeedGIYRcO2dYRiYzeYy4/+7raJjVSXH24eTOVZVcjJ9WLlyJffccw8PPvhg6awP\nlMxiPfLII6xbt46HHnooaOdwqpxoL0wmE8uXL+ftt99m2bJl/Pe//63wWFXJ8fYhPT2dxx9/nPnz\n52OxWMo9VlV+T5zI+2H27NmMGjUKi8VC06ZNueCCC/jiiy9K960OffB6vfh8Pvbt28fTTz/Nk08+\nyTvvvMP69etL963KfThZCrsh4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      "text/plain": [
       "<matplotlib.figure.Figure at 0x22506ec90f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(10, 8));\n",
    "ax.plot(gdp_forecast['Date'], gdp_forecast['us_yhat'], label = 'us prediction');\n",
    "ax.fill_between(gdp_forecast['Date'].dt.to_pydatetime(), gdp_forecast['us_yhat_upper'], gdp_forecast['us_yhat_lower'], alpha=0.6, edgecolor = 'k');\n",
    "ax.plot(gdp_forecast['Date'], gdp_forecast['china_yhat'], 'r', label = 'china prediction');\n",
    "ax.fill_between(gdp_forecast['Date'].dt.to_pydatetime(), gdp_forecast['china_yhat_upper'], gdp_forecast['china_yhat_lower'], alpha=0.6, edgecolor = 'k');\n",
    "plt.legend();\n",
    "plt.xlabel('Date'); plt.ylabel('Billions $'); plt.title('GDP Prediction for US and China');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "China will overtake the US in GDP on 2035-12-31 00:00:00.\n"
     ]
    }
   ],
   "source": [
    "first_pass = min(gdp_forecast.ix[gdp_forecast['us_yhat'] < gdp_forecast['china_yhat'], 'Date'])\n",
    "print('China will overtake the US in GDP on {}.'.format(first_pass))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "hide_code_all_hidden": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
