{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### To begin with, let's start with some basic imports."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import statsmodels.api as sm\n",
    "plt.rcParams['axes.labelsize'] = 14\n",
    "plt.rcParams['xtick.labelsize'] = 12\n",
    "plt.rcParams['ytick.labelsize'] = 12\n",
    "plt.rcParams['text.color'] = 'k'\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from sklearn.metrics import mean_squared_error\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this post, I'm going to use a time-series from the <em>Huge Stock Market Dataset</em>. This is just a sample time-series used to further ground the concepts you read about. At the end of this post, you'll be able to apply these concepts to any other time-series you want to."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "aus1 = pd.read_csv(\"a.us.txt\",sep=',', index_col=0, parse_dates=True, squeeze=True) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>OpenInt</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",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1999-11-18</th>\n",
       "      <td>30.713</td>\n",
       "      <td>33.754</td>\n",
       "      <td>27.002</td>\n",
       "      <td>29.702</td>\n",
       "      <td>66277506</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-11-19</th>\n",
       "      <td>28.986</td>\n",
       "      <td>29.027</td>\n",
       "      <td>26.872</td>\n",
       "      <td>27.257</td>\n",
       "      <td>16142920</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-11-22</th>\n",
       "      <td>27.886</td>\n",
       "      <td>29.702</td>\n",
       "      <td>27.044</td>\n",
       "      <td>29.702</td>\n",
       "      <td>6970266</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-11-23</th>\n",
       "      <td>28.688</td>\n",
       "      <td>29.446</td>\n",
       "      <td>27.002</td>\n",
       "      <td>27.002</td>\n",
       "      <td>6332082</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999-11-24</th>\n",
       "      <td>27.083</td>\n",
       "      <td>28.309</td>\n",
       "      <td>27.002</td>\n",
       "      <td>27.717</td>\n",
       "      <td>5132147</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Open    High     Low   Close    Volume  OpenInt\n",
       "Date                                                         \n",
       "1999-11-18  30.713  33.754  27.002  29.702  66277506        0\n",
       "1999-11-19  28.986  29.027  26.872  27.257  16142920        0\n",
       "1999-11-22  27.886  29.702  27.044  29.702   6970266        0\n",
       "1999-11-23  28.688  29.446  27.002  27.002   6332082        0\n",
       "1999-11-24  27.083  28.309  27.002  27.717   5132147        0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aus1.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>OpenInt</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>4521.000000</td>\n",
       "      <td>4521.000000</td>\n",
       "      <td>4521.000000</td>\n",
       "      <td>4521.000000</td>\n",
       "      <td>4.521000e+03</td>\n",
       "      <td>4521.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>27.856296</td>\n",
       "      <td>28.270442</td>\n",
       "      <td>27.452486</td>\n",
       "      <td>27.871357</td>\n",
       "      <td>3.993503e+06</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>12.940880</td>\n",
       "      <td>13.176000</td>\n",
       "      <td>12.711735</td>\n",
       "      <td>12.944389</td>\n",
       "      <td>2.665730e+06</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>7.223100</td>\n",
       "      <td>7.513900</td>\n",
       "      <td>7.087800</td>\n",
       "      <td>7.323800</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>19.117000</td>\n",
       "      <td>19.435000</td>\n",
       "      <td>18.780000</td>\n",
       "      <td>19.089000</td>\n",
       "      <td>2.407862e+06</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>24.456000</td>\n",
       "      <td>24.809000</td>\n",
       "      <td>24.159000</td>\n",
       "      <td>24.490000</td>\n",
       "      <td>3.460621e+06</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>36.502000</td>\n",
       "      <td>37.046000</td>\n",
       "      <td>35.877000</td>\n",
       "      <td>36.521000</td>\n",
       "      <td>4.849809e+06</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>105.300000</td>\n",
       "      <td>109.370000</td>\n",
       "      <td>97.881000</td>\n",
       "      <td>107.320000</td>\n",
       "      <td>6.627751e+07</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Open         High          Low        Close        Volume  \\\n",
       "count  4521.000000  4521.000000  4521.000000  4521.000000  4.521000e+03   \n",
       "mean     27.856296    28.270442    27.452486    27.871357  3.993503e+06   \n",
       "std      12.940880    13.176000    12.711735    12.944389  2.665730e+06   \n",
       "min       7.223100     7.513900     7.087800     7.323800  0.000000e+00   \n",
       "25%      19.117000    19.435000    18.780000    19.089000  2.407862e+06   \n",
       "50%      24.456000    24.809000    24.159000    24.490000  3.460621e+06   \n",
       "75%      36.502000    37.046000    35.877000    36.521000  4.849809e+06   \n",
       "max     105.300000   109.370000    97.881000   107.320000  6.627751e+07   \n",
       "\n",
       "       OpenInt  \n",
       "count   4521.0  \n",
       "mean       0.0  \n",
       "std        0.0  \n",
       "min        0.0  \n",
       "25%        0.0  \n",
       "50%        0.0  \n",
       "75%        0.0  \n",
       "max        0.0  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aus1.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['1999-11-18', '1999-11-19', '1999-11-22', '1999-11-23',\n",
       "               '1999-11-24', '1999-11-26', '1999-11-29', '1999-11-30',\n",
       "               '1999-12-01', '1999-12-02',\n",
       "               ...\n",
       "               '2017-10-30', '2017-10-31', '2017-11-01', '2017-11-02',\n",
       "               '2017-11-03', '2017-11-06', '2017-11-07', '2017-11-08',\n",
       "               '2017-11-09', '2017-11-10'],\n",
       "              dtype='datetime64[ns]', name='Date', length=4521, freq=None)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aus1.index"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Before we use this time-series, we first need to resample it into a time-series wherein each observation differs by a month."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['1999-11-01', '1999-12-01', '2000-01-01', '2000-02-01',\n",
       "               '2000-03-01', '2000-04-01', '2000-05-01', '2000-06-01',\n",
       "               '2000-07-01', '2000-08-01',\n",
       "               ...\n",
       "               '2017-02-01', '2017-03-01', '2017-04-01', '2017-05-01',\n",
       "               '2017-06-01', '2017-07-01', '2017-08-01', '2017-09-01',\n",
       "               '2017-10-01', '2017-11-01'],\n",
       "              dtype='datetime64[ns]', name='Date', length=217, freq='MS')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y1 = aus1['Open'].resample('MS').mean()\n",
    "y2 = aus1['Close'].resample('MS').mean()\n",
    "y1.index"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### So far, so good! Let's plot the time-series and see what it looks like!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y1.plot(figsize=(15, 6))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now that we've seen what it looks like, let's try breaking it down into its components. Let's try extracting the trend, the seasonality and the residual of our time-series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pylab import rcParams\n",
    "rcParams['figure.figsize'] = 18, 8\n",
    "decomposition = sm.tsa.seasonal_decompose(y1, model='additive')\n",
    "fig = decomposition.plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<em>Our inference from breaking the time-series down into components like seasonality and trend is that the given time-series is not stationary. Since the trend and seasonality of the time-series affect its values at different time-steps, this time-series is not stationary as its mean and variance keeps changing. Thus, we have to difference the time-series at least once to make it stationary.</em>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you remember, we discussed the three parameters of the ARIMA Model. In order to determine these 3 parameters and finding the best combination of these 3 parameters in order to yield the best results, we'll use a combination of statistical tools and iteration(trying out different models to check which achieves the best results). \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<strong>Let's start by determining d. As we mentioned earlier, we'll keep differencing the time-series until it becomes stationary. Let's try differencing it once and use the Augmented Dickey Fuller Test to find if it is stationary or not.</strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -2.955284\n",
      "p-value: 0.039287\n"
     ]
    }
   ],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "from numpy import log\n",
    "y1_d = y1.diff()\n",
    "y1_d = y1_d.dropna()\n",
    "result = adfuller(y1_d)\n",
    "print('ADF Statistic: %f' % result[0])\n",
    "print('p-value: %f' % result[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<em>As we see that the p-value obtained is less than 0.05, we can reject the null hypothesis and say that the series is stationary. We can also see that the series has become more stationary from the plot above. Thus, obtaining a p-value of less than 0.05 using ADF is a good indicator that our time-series has become stationary.</em>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DuzEwWpxIiYvxBW7hKA1VPMzcERERERGRihjcjYHR6hxRp0yAZZlERERERBQdDO7GwGR1IiV++E6ZwEBDFZZlEhERERGRmhjcjYHJ4kDqKDN3Hs65IyIiIiIiFTG4GwOj1TmiMQjAoDl3E5C5a+i2oNfmjPrjEhERERFR9DG4GwPTKPbcaSawocrNT+zGXzZWRP1xiYiIiIgo+hjcjZLHI8FkdY66LNMV5eDO45HQYrKipqM/qo9LREREREQTg8HdKJltLkgSRt9QJcrBXa/NCY8EtJisUX1cIiIiIiKaGAzuRslklfewjXYUgifKe+66+x0AgBaTLaqPS0REREREE4PB3SgZrXLQNNqyzGhn7nos8nmabS702V1RfWwiIiIiIoo+BnejZLTImbuRdsv0NVSJeuZuoEtmi5GlmUREREREkx2Du1EyjrEsc6IydwDQzNJMIiIiIqJJj8HdKGmFQFF6HFJH2FBFN1HBXf9AcMfMHRERERHR5Keb6BM401yxMA9XLMwb8e01E9VQxeJAjFbA5ZGYuSMiIiIi+hxg5k5lWt8ohOg+bk+/A+kJemQlxk6qzN1/vXYYD2+unOjTICIiIiI67TC4U5nG+wy7o5y567E4kRavR15q3KQah/BJRQd2VndN9GkQEREREZ12WJapMiVz55mAPXfpCXqkxMWgos0c1cdWi8cjoavPgSSDfaJPhYiIiIjotMPMncomqltmt8WBtAQ98lLkzJ0U5cyhGkxWJ1weCR1mBndEREREREMxuFPZRDVU6el3IC0+BvmpBlgcbvRaz/xB5p19clBnsjphd7kn+GyIiIiI6ExyoL4Hj22tnujTUBWDO5UNNFSJXnDn9kgwWZ1Ij5czdwDQbDrzm6p09A1k7Dr7HGFuSURERETk74VddfjdB+UwWibvdSSDO5X5yjIjlLl7+3Azbv3n7rC36bU64ZEgl2WmGgAALZMguBsc0LE0k4iIiOjz6ZEtVbjvzSOjvl9lex8A4FCDMdKndNpgcKcyTYQbqhyqN2JHVRccrtCzFbq9qxHpCXrkK5k745nfMbNzUEDH4G50XtpTj/LW3ok+DSIiIqJxe31/I17YXY/9dT0jvo/HI6HKG9wdrGdwR2M00FAlMt/P6pT3zpltzpC36emXg7vUeD2ykmKh04hJkrljcDcWfXYXfvbGEfzxw5MTfSpERERE42K2OVHT2Q8A+MvGihHfr8lohdUp92w4yMwdjZU3toPbE5nozuqQ/yh7baEbpPRY5MAvPV4PrUYgJ9mAlsmQueuzIyNBD4DB3WiUt8gZu20VnegNsyhAREThOd0ePLezdlLv1yE63R1vlq9rzivNxKdVndhdM7L5x0rWrjQ7EYfqe6I+pixaGNypTAgBjYjcnjtlxcFkHT5zl5YQAwDITTFMikHmnX0O5KYYkBYfg46+M//niZbj3uDO4fZg84m2CT4bIqIz177aHvzP28fwlaf3crGMaIIc9QZ3D1yzANlJsfjzRxUjGvlV2S7Pfb5heSF6bS5f9m+yYXAXBVqNiFhZpkXJ3IUJ7gbvuQOAvBTDpCnLzEyMRVZSLDN3o3C8uRdp8THITTbg3bLWiT6d00ptZz9uenwXqjv6JvpUiOgM0NBtAQAcaTLha898hn77mT9miOhMc6zJhJzkWBSlx+O7F83A3tpufFrVOez9Ktv6kJUUizWzsgEAB+tHvl/vTMLgLgo0QkRszp3NqZRlhs/c6XUaxMVoAQD5qWMfZN7T78DtT+1RPTh0jSD67TQzuBuLY829mJefgnULcrGtsiPsfs3PE4vDhW89vx97TnWPuKSDiD7fGnos0AjgoZuX4FCDEXc995lvu8Tpxupwn7bnRjQeR5tNmJ+fAgC46awi5KcY8KcRZO8q2/tQmp2I6VmJSIrVTdp9dwzuokDO3EUmuBvI3IXbc+dAerwewtupMy/FALvLg+7+0e8ROFDfg+2Vnap2FfrXrlos+82msKWmkiShs8+BzCQ9shJj/WbeUWhOtwcn28yYm5+MKxbkweHyYPOJ9ok+rQknSRJ+8voRVLaboRFAvXc1nuh0UdFmRrPxzK64ONJownm//9iX7ZoMGrotyEuJw5cW5ePPNy7CnlPd+K/Xyyb6tAI4XB5c/4+d+PYL+yf6VEgl2yo6sOp/N+OH/z6E94+0wOKITBa5rqt/wvaiuT0SmoZ537M4XKhq78O8Ajm4i9Vp8f21pTjUIHeTD0WS5E6ZpdmJ0GgEFk9JxaFJ2jGTwV0UaEXkgjvrCDJ33f1OpHlLMgH4BpmPZd+d8iIbS2A4EhaHCw9tqoTJ6sSOMCn1XpsLDrcHWYMyd2PJRH7e1HT0w+HyYG5eMpZOSZNLM4+0TPRpTbinPj2FDYeb8aNLZ6E4IwGN3Wf2RTRNLi63B19+YjeueXQH2s1n7v7iZ3fWoqHbircONan2GM1GK7acjN6CVUOPFUXp8mfqVYsLcPvKYnx4rDXseKKJ8PctVTjW3Iv9dZO3aYRauvrsEQuU1PT24Wb0WBzYcrIdd794AEt+tREv7akf1/fcfKINF/xhK371zvEIneXw3B4JO6s7cd+bR7DigU0458GP8c/tNSFvf6LFDI8ELPAGdwBw9ZICGGI02BSmr0Brrw19dhdm5CQBAJYUpaK8tfeM+F2PFoO7KNBoIliW6RhBQxWLA+neZioAkO8dZD6WVeCmHvk+PSoFd//aVYcubxnplvLQH9DKGASlLNPm9KAvCnsduvrs2FV95pbsHW8xAQDm5idDoxG4bH4uPqn4fJdm7q7pwv++X45L5+Xg7gumozAtDg09kyezQGe+3TXd6Op3oK3Xju++eBDOSG3aHkIp81dDn92F97wLSe8dCdzr22tz4r43j+DlvfVjXjxs7LHg+sd24uvP7YPdFZ3yw8YeCwrT4n3/XjUtAw6XB0ebTVF5/JE42mTCo1uqkJUUiz67i5UJo3TTE7vxm3dPTPRphCVJEnZVd+HCmdnY998X46VvrEB6gh4fh7mOGnzf/XXdAUG/w+XBb949Ab1Wg2d31uLlveMLFEfqjmf24pYn9+D1/U1YMS0Da2dn4zfvnsAjW6qC3v6Y97U2vyDZd8wQo8XKaRnYVtER8nEq2wY6ZQLAkilp8EhAWePp89qNFAZ3UaCLZFmmc/iGKj39DqTGRyZz16gEd5bIBwP9dhee2FaD82dm4ZK5Odha0RFyhVEZYK4Ed0B0xiE8uf0UbvnnbhxtOv1f/O+WtfjNAgTkZiqxOg2mZSYAAK5YKJdmjuQDYLJ64L0TKEyLwx9vWAQhBKakx/Pih04r7x1tQbxei99ftxB7a7vxWxUuNHttTpz1m014+tNTEf/eAPBeWQusTjcuX5CL4y29qOvy70r38p56vLC7HveuP4KzfrsJt/5zNz6tHL4hgqK914bb/rkHzSYb3B7J91mlJpvTjbZeO4oGBXfLitMAAPtrT4/GDA6XBz969TDSE/T4y42LAcj7rk83f/+4Etc8ugPrHtqOi/60FZf9dRvaeic+S+1ye3Cqsx97T3VP9KmE1dBtRZPRilXTM6DTarB6eiZm5iSNKNO/u6Yb1z22C7/7sNzv+L921eJUZz8eu20pzp+ZhfvfPKr6fvQmoxXbKztx5zlTceD+S/DILUvx+O3LcPXifPzhw5P488bAfXRHm0zISNAjN9ngd/yCmVmo6ewPWQZe2e4f3C0uSgUwOYeZM7iLgkhm7kY2507ec6fISNBDr9WgeQxNURqNSnAX+czdc7tq0d3vwH9cXIo1s7LRYbb72vYP1dknP768505+QUcjuKtq74MkAb/7oHz4G0+gtl4b7nnpAP48ZJjn8ZZezM5Ngk4rv9SXTUlDTnKsb0X986bFZEVZowk3Li9CkkHObhelx8NocbKtOeQL/pE0NzqdSJKEb/5rH65/bCd+ueEY3jjYeEbv8XJ7JHx4tBUXzc7GjWcV4a5zp+LZnbVYf6Axoo9zuMEIs92FP2+sCFgUioRX9jVgWlYC7l03BwDw/tGB7J3bI+GFPXU4e2o63v3+ubj7gumo6ejH914+MKKF0O5+B257ag/azXbcd4X8/YcGj2pQtikoZZkAkJ1sQFF6HPbXnR7B3SNbqlDeasYD1yzAWVPToNMIX6ZDbRVtZvxqw/FhM8I9/Q48tLkSZpsLhWlxKMlIQHmrGXtOg4Cqo88Ot0dCdUdfVKqDxmpXjbwQsnp6hu9YTnIs2nuHfy1XeccBPP5JDV7bL7+vdPXZ8dDmSlw4Kwtr5+Tg4S8vwZSMeNz9wn5V30+Viq1bVhQhTi83AdRpNfjTjYtx4/JC/G1zJR7dWu13nyNNvZhXkOLrK6E4f2YWAOCTENm7qnYz0hP0yEiUEwRpCXpMzUyYlB0zGdxFQaT23Hk8Euzeuv5QmTu3R4LR6r/nTqMR8qy7MQwy95VlRji46/Nm7S6YmYWlU9JwgfdFuTXE3omhZZkAotJU5VRnH2J1Gmyv7Ayb7h+P94604MU9dePaF6FkFt8ta/GVJ0mShOPNvZibP1C6oNEIrJufh60nO1QtyTpdbTou1+NfOi/Hd2xKurwKfyYHBJHg8Ui47C/bcOXDn0blQjlSjjX34qPjbejqd+D/9jbgh/8+jAv/uPWM3au251QXuvoduHxBHgDg3nWzsXJaOu5dfySiDVYO1RshhJyNGrooNF41HX3YV9eDG5YVoSg9HosKU/D+oAWlTyra0dBtxVdWFWNefgp+dOks3Hv5HPRYnDg0TPc6p9uDO57Zi7ouC/751eW4ZkkBAKC2U/3Xr/IeUZQe73d8eXE69tX1TPg+8JqOPjyypQrXLCnAxXNzEKvTYkZ2YtQyd7/ccAxP7ziF339wMuzt3ilrhtMt4W83L8GTX1mOx25bCq1GoLLNPK7Hf7esBfe9eWRc36PZe50kSXK7/dPVruouZCbGYoY3CwUA2UkGX3AaTm2XBYYYDVZPz8DP1h/B/rpu/GVTBSwOt2+xJCUuBk999Sx4JOBbz++PWPXZUFtPtqMoPQ7TsxL9jms1Ag9euxBXLMjD3zZXotVbeWZzulHZZsaCQSWZimmZCShMiwt5rVbZ1uf3fAHyvruDDcYJf+1GGoO7KIjUnDvroIvxUFkGk9UJSQLS42P8juelGHwvjpGyOd2+oCrSe+6e21kLo8WJH14yEwCQlRSLBQUp2Hoy+Iuys88OjQDS4vVRK8t0uT2o77bg1hXFKEyLw4Pvl0d8Y3pVex/+4/8O4b/fOIq7nvtszHtPlA9vk9XpWwlr7bWhx+LE3Dz/N8ElU1Jhd3miUsZ0uvnoeBumZib4fZAoJVYNQ5qqSJKEZ3acQvtpUCoUDVUdfWg22XCyzYwvPvwpPi4/Mwbebyhrhk4jsP7u1Tjyiy/gkVuWwu2RzohS6mDeP9IKQ4wGF86SF7x0Wg1+8aV5sLs82BnB/b+HGoyYnpWI21YW4//21qO8NXIBwGv7G6ERwLVL5cBr3YI8HG40odG7t/X5XXXISorFpfNyffe5oDQLWo0Y9u/u3bIWlDWa8IcbFmH19EykJ+iRFKuL6IKE2yNhW0VHwAVfg/c9c3BZJgAsLU5DZ5894D0k2rac7IDLI+HHl87yHZubnxyyIiaSDtb3YEdVF4rS4/D0jlPYWR26xPb1A02YnZvkW3iM1WlRkhGPk61jD+4kScJfNlXghd3146rCGHyddLruxZIkCTuru7ByWrpf9ionORZuj4Su/vDXRnVd/SjJSMCjty5FfqoBX39uH17aU4/bVxZjRnaS73ZTMxPwwDULcLylF//+rCHiP4fN6caOqi6smZUdkIUD5MXon66bDbdH8u2/q2gzw+WRfGMQBhNC4PyZWdhZ3RWwT1mSJN8YhMGWTElFh9k+bIfOMw2DuyjQaBCRsky/4C5E5k4JDgZn7gB51t1oyzKVVWKdRkR0z53V4caT22uwZlaWr+YZANbMysKB+h4Yg2QJO/vsSE/QQ6sRSI2LgU4jVCklGqzZaIPTLWFWbiJ+fOksHG/pxVuHI9f1zeORcO/6MsTptfjJZbOxo6oLlz+0fUy1/seaTZiSHo+spFisPyCf47Em+QN9cOYOGNiDeaa3WR+tXpsTu2u6cMncHL/sqcSZAAAgAElEQVQPEqXEamjm7mSbGb/ccBz/8/axqJ7nRFHKyp792tkoTIvHnc/uw183DT83aCJJkoR3y1pwzoxMpCXoodNqcP7MTADyftPTgd3lHvGikNsj4YNjcklmvF7nOz4zOwlJBh0ORKh8SJIkHGowYnFRKn6wthRJhhj89t0TEflduz0S1h9owoWzspHj3ROzbr4cxH1wtBX1XRZsrejAl8+eghjtwCVISnwMlhWnhR3VIkkSHt9Wg9LsRFzpzWwKIVCcGY/arshl7t4+3ISvPL03oEywsdsCvU6DbO8Co2K5d9/dvrqJLSs8UNeDgtQ45KcOlI3Oy09Bh9mueib7kS3VSI2PwRvfOQfTMhPwo1cOBw2yqjv6cKjBiOuWFvodn5Wb5NsTNRbHmntR5b3/eBZ2lJm+KXExKDtNF4hqOvvRbrZj9fRMv+PZ3tfbcKWZtV0WFGfEIzVej39+9Sy4PBKSDDH4wdrSgNteviAXZ5ek408fnYz41oU9p7phdbqxZnZ2yNsUpcfjprOK8H+f1aOxx4Kj3uua+QWBwR0AnF+ahT67CweGlEl39NlhsjqDBHfya3fT8bbT+rNutBjcRUGkyjKV/XZ6rQamEHPulPLJtHj/4C43xYC2XtuoMk/KSsbMnKSIZu42lDXDaHHim+dP9zt+waxseCRge5BN9R1mBzK9ddIajUBmovqDzGs65Q+KqZmJ+OLCfCwoSMEfP6yIWDnji3vr8VltD+67Yg7uvnA61n9nNQwxGnz5yd3YeHx0WZNjzb1YUJiCqxblY8vJdvT0O3C8pRdCALNy/YM7pXuq2oPpJ9IHR1sDVo4/OdkBp1vCJXNz/I6nxMUgyaAL6JipBAfvH23F/gm+aFP02V3YcLgZ97x0ACsf2IzDERzAeqCuB+kJepxfmonX716Na5cU4K+bKn2LBaejQw1GNPZY8cVF+b5jSYYYTEmPx4mW8ZV4RYLL7cE5D27Beb/fgr9srPBlrkLZX9eDDrMd6+bn+R3XaASWTEkLuGAJ5mdvHMHXn/ss7IVKY48VXf0OLC5KRVqCHt9fW4rtlZ0RGSmwvbIDrb023LBs4OK9OCMB8/KTfSXoGiFwy9lTAu67dnY2yltDz/fbUdWFEy29+MZ506DRDCzQFGckRDRz99Ex+f136OuroceCwtQ4v8cG5M/IpFgd9k3gvjtJkrCvrhvLS9L8js/zLu6NpjTzg6Ot+OWGkS9qlbf2YtOJNnxt9VRkJsbizzctRpvZjl8EWRh740ATNAK4anG+3/HS7CTUdfWP+fP1jYNN0Hl/L+MJ7pqNNsTFaLFqWgaONJ6ejTaUDP6qQfvtAPgWHcIF8m6PhPouC0oy5CZrM7IT8cZ3VuPlb6wMSAoA8uLJ/VfORbfFEdC98mSrGdsrx75dZUt5O2J1GqyalhH2dt+9aAaEEHh4cxWONpuQbNChMC0u6G1Xz8iATiOwbch5VSmdMnOS/I7Pyk1CSUY8frHhOK58+FO8tr8xap131cTgLgo0GgF3BDN3WUmxIVdQlCAsfWjmLsUAp1saVbZL2W83vyAZZrsrYnN8XtxdhxnZiVg5Ld3v+OKiVKTGxwS9wOjss/uCOwC+WXdqOtUpXyxMzUyARiNw77rZaDJa8fSO8XeXazFZ8bv3y3HujExc770Iml+Qgne+fx7m5CXhP185FJBJOtxgxNo/bQ3I7JksTjT2WDE/PwXXLC2A0y3hnbJmHG/uRUlGAhJjdX63z0k2QAigaQx7MM8EO6s78Z0X9+Nb/9rv133to+NtyEjQY+kU/4sfIQSK0uIDnm+l02h2UuyoshqSJOFPH53Eh8cC27+PxyNbqrD0VxvxvZcPYk9NN7r7HXgzgvPD9tf3YOmUVAghEKfX4g83LMJZJWn4xYZjp22W952yFui1Gnxhnn/APjcvOqVow6nvtqCzzw6dVuBvH1fivN9vwTf+tc+3UDfUe0daEKvT4KIgK9nLpqThZJs57Or5vtpuvLSnHptOtOOzMN0blX1tSuXE7SuL5RKs98rHvXr96v5GpMXHYO0c/9/Juvm5OFBvxEt76vGFuTnITTEE3Ff5uUN18318WzWykmJx1RL/wKAkIx6NPdaIjIywOd2+hgxDMzcN3VYUDtlvB8hbLxZPSR1R8K2WJqMVbb12X/dOhVK5MZpM9sMfV+KZHbWo6RhZJu2RLdVI0Gvx1dXFAOS/q3vWzMD6A03YcLjZdzuPR8IbB5twXmmWL8ukmJmTBI8EX/ZtNFxuD9461IyLZmejIDVuXOWUrb1W5KUasLAoBbVdFphU6BQ+Xruru5CbbEBJhv/fopIpbwuTuWsxWeFwe1Di7aANADOykwIqfAZbUJiC65YW4plPa1HX1Q9JkvDy3np88e+f4s5nPxtTMCRJEj4ub8fq6RkwxGjD3jYvJQ63rpiC1w40Ymt5O+YHaaaiSDbEYOmUtICmKkM7ZSpitBq894Pz8Ntr5vs6zZ7z4Mdn/HYMBndRoBUiInu1lAuC3BQDHC5P0BUuX+ZuSHCndAfqHkVjlCajFRoBzPHu2TJax5+9K2s04nCjCbetmBLw4tRqBC6YmYVPTgaORJCDu4GfKSspVvWGKrWd/UiM1fked/WMTFw6LwcPbapEbefYV4klScJ9bxyFy+PBA9cs8HseEmN1eOSWpZAk4LsvH/QF1Mebe/GVp/eiuqM/oGveMe8su3n5yZibl4zZuUlYf7AJx1t6A/bbAfKbWU6SAS2n6QX7eLSbbfj+y4cwJT0eDrfHt/rscHmwtbwda+dkQ6sJ/FAINg5B6TT6/y6ZiQP1xhEHa6/ub8TDH1fh2y/sx/9FaE5Qk9GKv26qwKrpGXj126uw52drsXpGRsg9qqPV0+9ATUe/r0QFkF+Pf7xhEdweCT95vey0K1nxeOSSzPNnZiHZ4L/HeE5eMmq7+tGvUre7nn7HiDJFyoXqX29ajG0/XoN7LpyBTSfacP9bRwOeT49HwvtHW3DhrCwkDFmQAYClxamQpMBs0uD7/+qd48hJjkVGgh6Pbg0+IwqQg7tYnQazcuVVbL1Og9tXFqOqvS/sheFwjBYHNh5rw1WLC6DX+V9erPOWUZrtLty+qjjo/WdkJ6IoPS7ozNMTLb3YXtmJO1aXIFbnfzFYnJEAl0eKyCLErpouWBxuZCToUdYYmLkrCpExWF6cjpNt5rAzaNWklFUPXbxK9mayR9ox81Rnvy/L9/agwCzc7d8ta8Ztq4r9RjB976IZWDolFf/vlUO+987dp7rQZLT69mIONitXvuiubB99xv3Tqk509tlx7dICLChIGXfmLi/FgIUF8sLHkWG+l9sj4bPabvzveyew9k9bseaPW/HAeydUGx7v8UjYXdOF1dMzAq6hlH4E4UZK1HnLl4szAhcpwvnxpbOg0wr8+p3j+NGrZbh3/RFkJcbC6ZZ88+NG41RnP+q7LUEXsoK5+8LpiNEKNJtsfsPLg7lgVhaONvX6JTMq281INuh8z9Fg8Xodbl1RjI9+eD5euGsFrl5cEPR2ZxIGd1GgjdCcOyVzp8z2CLaC290vH0sfUpaZEidf/IxmFaqpx4rcZAOyk+TH6+kf/4fWC7vrEBejxbXLCoN+/cJZWejqd/gNhJUkKTBzF5WyzH5MzUzwewP91VXzoddpcO/6I2O62K1sM+Prz+3D5vJ2/OclszAlyBtscUYCfn/9QhxuMOLB98tR1W7G7U/tQbxei+XFadhe2en32Mreunn5yRBC4JolBThYb0R9tyXkalxeqmFMozHGal9tt2oX2gq3R8L3Xz6IPrsTj9++HN9fW4r3jrRi84k27DnVBbPdhUvm5ga9b1F6HBp7rL4PY0mS5OA4PxnXLytEaXYifvfByWEzAx1mO3777gksL07D+aVZ+On6I/jn9ppx/2z/8LaCfuDaBTirJB1ajcCaWdk41dnvyzCPx8EG+cJw6Kp/cUYCfnb5HGyv7MQLe6Iz0Hak9tX1oLXXhi8uygv42tz8ZEgSUD6OBg3hPPh+Oa57bNewF2/VHfLvZnp2IorS4/GjS2fhe2tm4LX9jXhln3+Dgs3l7Wjrtfu6ZA61uCgVQiBky/31B5tQ1mjCT9fNxp3nTsXWkx0hL+gPNRixoCDFb8/bwkL5gmm4i9lw3jrUDIfbgxuWB76/T89KxOzcJJRmJ4YswxJCYO3sHOyo7gxYvHxyWw3i9VrctiIwMFRKzCKx727T8TbE67X4yqoSNHRbfdUwZpsTRovTb4D5YMtL0iBJGLbbp1r21/UgQa/F7NykgK/Ny08ecVnmu2VyQDczJxFvH24O+jnn9kho77WhrNGIP3xYjhitBl8/d5rfbWK0Gjx759mYX5CCe148gPeOtGD9gSYkxurwhSDvw8UZCYjRClSMIVB482ATkg06rJmdjQWF3ozbGIPsVpMNeSlxvgCirCn077PZaMU5D36MG/6xC0/vOIX81DgUpcfjmR2ncN1jO3Hu7z4eUyYynIp2M7r6HVg5PfA1FKPVICNBj/Yw10a13kUp5TUzUjnJBtx9wXRsOtGO9Qcb8YO1pXj+rrMBjK0MVsnOXzhrZMFddpIBX11dAgCYN0xwd36p3IxqcMloZVsfSnOSQmb8APn959zSTNx35dywtzsTMLiLAo2IzJw7JXOXnSwHOb1B9t31WByI1Wl880IUvuBuFG94jUYrCtLikObtvDnecQgmixNvH27G1UvyA1baFeeXZkEIYEv5wIuy3+GGzelBZpJ/WWZnn0OVlTFFbZcc3A2Wk2zAzy6fg101XaPqHtXea8NPXy/DpX/dhr2nuvGTy+QLsFDWLcjDHatL8PSOU7j+H7sghMCLX1+Ba5YWoMlo9V00AnIzldxkgy87e9XiAijvS8EydwCQnxI3ptEYY7GjqhPX/2MXbnlyd8S7rg72100V2F3Tjd9cvQCzcpPwjfOmYWZOIn7+1jG8dagZhhgNzp2RGfS+RenxsLs8vmxws8kGo7fTqE6rwb2Xz8apzn68NEyA88sNx2B1uPHgdQvx5FeWY938XPzm3RN4aFPlmH+uVpMN//6sAdcvK0LBoEYJa7wfiqHGh4zGgTojtBrhu8Af7NYVU3BeaSYeePcE9tR0odVki9i+0/UHGvGbd46P6b7vlDUjVqcJKP8DgDl58gWuWqWZJ1rlVeHhvn9Vex+yk2L93u9+cPFMnDsjE/e/dQzHmk1wuT3488YKfOv5fSjJiA/68wDyXsJZOUlBg7t+uwu//6Aci4pScdWiAty2shiJsTo8NmQ+FCCPEjjaZMKiQc2sADkg1ojxBXev7m/A3LxkzAvSyQ4AnrrjLDx359lhL5zWzM6GzenBrkGdQVtMVrx9uBk3nVWElPjAzw6lPG28++48HgmbTrThgplZOMu7d015PpTuwoNn3A22qCgVGgHsr52Y/bn7anuweEqqb6bpYPPyk1HXZRlRQ4x3ylqwvDgNd6yeipqO/oCg8JXPGjD7/vdx9gOb8aW/78B7R1rxlVXFQTMdyYYY/OvOs7G4KBXfe/kgNhxuxhUL8gKuTwA5MJmWmYiKUS7I9Ntd+PBYG65YmI9YndbXaGMsYwxcbg/azXLmLiU+BiUZ8TgSpsTz4/J2tPba8PvrF2L//Zfg+btW4F93no3991+Cv960GN0WB56JwDaOwZTXxeogwR0gN1UJV1JY1yU3BRo6AHwkvnH+NNyyYgqe/drZ+OElM1GSkYCkWJ3fYvxIbT3ZgVLvotdIfefCGbj7wunDZvvm5ScjI0GPtw81Y++pbhxv7g3aKXMyY3AXBWpl7oIFaj39joD9dsDYgrumHisKUuN8JZ7jvTB//UAjbE4Pbg2y8qrISIzF/PwUv2YYneaBGXeKrCS55a8aw9UBucNdY4/Vry5dcdPyIqyYmo7fvncibPmDotVkwxf//ileP9CIO1ZPxSf/tQZ3Xzg9aHngYPdePhuLilIhALz49RWYlpUYdEXqWHOvb9M8IJftnuPtohUqc5efakCT0ap6qZ0kSfjrpgqkxcfgRKsZNz2xS5Va9kMNRvx9SxVuWFbo28Oo12nwwDUL0GS04rX9jTi/NCvoRQUwMLdK2Xen7E+Z671IXTMrGyunpeNvmytD7i/YdLwN75S14LsXzcCM7ETodRo8/OUluGZJAf6yqWLMM5z+8Uk1PJKE71zo34BoSkY8pmUlYEsESjP31/Vgbl6yX4dGhRACv79+IXRagZue2I2V/7sZs+//AMt/s3HcHfie3H4Kz+yshcUxuqyuy+3Be0dacNHs7IA9pQBQkBqHZIMOJ1QI7iRJQrV3Nf7TqtDt3gF5vMTQuUpajcBDNy9Gerwed79wADc+vgt/21yJa5YUYsP3zg368yiWFqfhUL0xYFHr0a1VaDfb8T9fnAuNRiAlLga3rpyC9460BJSQn2w1w+7y+HUqBuTSpOlZiWMuaTvR0oujTb1Bs3aKoZ0cg1kxNR3xei02e0cidPc78NPXj0ACcOc5wRfEspJiERejHfesu6PNJrT12nHxnBxfdkAJ7nwz7kJk7hJjdZiTlzwhTVX67C6Ut/ZiWXF60K8rwfaJYbJ3Ve19KG8144qFeVg3Pxc6jfDbM9fT78Cv3z2Oefkp+PVV8/DE7cuw4bvn4meXzwn5PZMMMXjuzrOxvDgNdpcH14Wo2gGA0pxEVIyyLPPDY62wOt2+Us8FBSPLQL/yWUNAVq3NbIdHGugovaAwNez+vaNNJqTGx+CGZYV+CzjJhhhcvaQAl83LxYbDzRGdKburWh43ESqDnJMcG7a0urazH8Xp8QFNgUbCEKPFA9cs8M0l1mgE5uYn+zpYjlS/3YU9p7rCdskMJiUuBj+5bHbY90jlvC6anY0tJztw4+O7cPnftqO734GZOYFZ7cmKwV0UaDQCrgjuucsJU5bZY3EEdMoEgORRBncutwetvTYUpMX5gsXxjEOQJAkv7qnDkimpIVvYKlZOS8fBBqPvDXFggPnAz6UEemrtu6vvskCS5KGYQ2k0Ag9etxAOlwf3v3k07Pfpt7tw13Ofoc/mwhvfOQc//+LcoMF3MLE6Lf79zZXY+qM1vr0xRenxKMmI93UUtTrcqO7o8wvuAOCHl5Ti6+dODWjZrchLiYPd5RnV77Tf7sJfNlagbxTllTuru/BZbQ9+eMlMPPu1s9DYY8X1/9g14oHhr+1vxL4RrIR/dKwVGiHw8y/O9Tu+vCQdX/Z25RvaJXMw36y7noHgTgj4SpyEELhnzQx09Tvw/pHAvXdmmxP3v3UUM3MS8e0LBoIwnVaDe9fNhhBy183Rau+14aW99bh2aUHQFc41s7Kxu6Zr1MHRYC63B4cbjVg6JTXkbfJS4vD+D87Do7cuxQPXLMCd50xFZ58DhxsCL3w6zHbc8uRuXPXIDlz9yA5c8+gO/P3jwMxlu9mGEy29cHukoN8nnD2nutHZ5/DrkjmYEAJz8pJVGYfQ1mtHv/e9+NMgnX0VkiShpj0wuAPkRaxHbl2CZqMVle19ePjLS/CnGxchKURFg2LZlDSY7S6/lvGNPRY8uf0Url6c77ff6q5zp0Kn1eDxbf7Zu4NDmqkMtqAgZcyZu1f3NSJGK3DV4sD9VKNhiNHinBmZ+PhEOzafaMMX/rINO6s78fMr54Zc5RdCoDgjftyZu43H26ARcmOXlLgYTM1M8O278824C5NpWF6chkMNRrjG2djleHMv/vOVwyNeUD1Ub4RHCiyrVoy0Y+Z7R1ogBLBufh7SEvQ4f2YWNhxu9i0mPLS5Us4SX78Qt68qwRfm5WJBYejmFoqEWB2eu/NsvH73Kpw9NXgACgCzcpLQ0G0d1fvZGwebUJgWh2Xev/30BD0KUuPC/h2/f6QF//V6GZ7c5l8y3+rdqpDn7Si9sCAFTUYrukJcZ5Q1mrAgTHOP65cVodfmwqYTkZkZKkkS9tZ2Y+XU0N0ls5Niwy661XVZUDzKksxw5hekoLy1d1R/89sr5c7Va0ZYkjkWv756Pt74zmq8cNcK/OO2pXjo5sW46awi1R7vdBPV4E4IkS6EeEMI0S+EqBNC3BLNx58oWhGZOXcW55DgLkig1h0ic5cUq4MQoefjDdVmtsPtkVCQGo/UCJRl7qrpQnVHf9D9EkOtnJYBh8uDg/Xyh+pAcOefuQPUG2Q+uFNmMFMzE/Ct86fho+NtId9I3R4J//HvQzjR0ou/37J02KA2GEOMNqAM6fyZWdhV3QW7y43y1l54pMAa9GXF6WHrxpXV89E0INh6sgMPba4c8R4yJWuXm2zAjcuLsHp6Jl78+gqYrE5c99jOYTMEDd0W/OjVw7jpid14/JPqsFnGPae6saAgJejF8b2Xz8aPL52FKxcGDwQA+Noq13fJz8fxFhOmZiT4NbY4Z3omSjLi8cLuuoD7P/xxFVp7bXjwuoUBjSSykw1YOiVtTMHd49tq4PZIuGfNjKBfv2h2Nhwu/xK20SpvNcPicGNpiAtDRWFaPC5fkIdbVkzBDy+R5yEFa36ws7oTO6u7YNBpkBwXA5PFiYc/rgrYczk4MBrtqImNx9sQq9OEvTiYm5+Mk63miFRNDFbt7SA4Jy8Ze2u7Q67Kt5vtMNtdmJ4VvBRoWXE63rznHGz84QUhg9ShlN/R4Hl3f95YAQHgvy6b7Xfb7CQDblhWiNf3N/mNPTlUb0RGgj5oK/H5BfJMtJFUJAzmcHnw5qEmXDI3Z8SLV+GsnZ2NZpMNdz23D5mJerz93XN9+21CKclI8O0nGquNx9uwvCTdV62yoCDFV5bX0G1Bgl7r26YQzNLiNFgc7nHv9fzHJ9V4/UAjbntqz4j2ye+v64EQ8kDmYLKTDchMjB02uHu3rAVnFaf7Opl+aVE+mk027K/vQU1HH17YXYebz54ypgyIIUYbMrOoUNrUj7RBR3uvDTuqOnH14gK/TFS4RYquPjvu8y7Klg+ppmj2blXI8/78CwqVfXeB38vmdKOizRy2uceq6RnITzHgtf2NIW8zGp19Dnm7QJjOljnJBnR4r9+G8ngk1HX3B3TZHI/5BcmwOT2oGcXe7+d31yEnOTZgbEckGWK0WDIlDeeWZuKy+Xm4anFB0EZVk1W0M3ePAHAAyAFwK4DHhBDzonwOURepskzboG6ZANBrC7bnzukLxgbTaASSDTEjztwpYxAK0uIQq9MiQa/1DUgfiy3l7dDrNLhiYfBmAYMtL0mHEMCeU/IFa0ef/LhZSdEP7oKVZSqWlcgfVKFKgX7/QTk2Hm/D/VfOHXX5QTjnlWbB6nTjQJ3R92E9NHM3HGXW3WiCO+XC6elPT41o74aStfvOmum+VsdLpqThlW+tgk4jcOPju7ApzDy/t7xt/s8rzcT/vl+Ou184AHOQx7U63ChrNGLFtOAXDsmGGNyzZkbIkkxA/iDISY4dyNy19GLOkOdUoxG4dUUx9tX1oLx14CKpxWTFsztrce2SwoBOdYp183NxoqV3VJmFzj47XtxTh6sXF4RcaV1ekoYEvTZgfEh9l2XEK6kH64N32QsnyRCDvBSDb3bQYCdbzdBphG//yQPXLoDd5Qk4x+2VnchI0GNGdmLIJiGhbK/swIppGWF/p3PykmF1uv0u+C0OF/79Wf249uoqwd1XVxXD4fJgX4iRA0rJV7DMnWJ+QUrQkQChlGTEIz1B73u+TrT04o2DTbhjdUnQcsdvXzAdQgDffuGALxtyqKHH25wlcOFHuZgNt88omI/L29Dd78ANyyKzMn7x3Bx5Ae2CaXjru+f4OjaHU5wZj4Zu65g/axu6LShvNeMLgzL8CwtT0GyyocNsR2OPBUXp8WGzVEpWajz7YG1ONzadaMPiolRUtvXhK0/vGfb9dl9dN2blJIXcyw7Iix3hOmZWtplxss3s9xl9ydwcGGI0ePtQM373QTlidRr88OKZo/+hRmhmjvxaqRhhCfuHx1rhkRCwOLKgMAV1QZqqSJKE+986CrPNhfNKM1HRavZ7L1AWQZSyTLnlfvDXw8lWM1weKWxwp9UIXLu0ENsqOka9YBLMcIvOgBzIeyQEzTa2m+2wOT1hr2tGa7635Hek5dzHmk3YUdWFO1ZP9WvoRJEVtWdWCJEA4DoA90uS1CdJ0qcA3gZwe7TOYaJohIAnAiPiLEpDlSSloUrwssxQK6cpcaMI7ozyRa7SwCE1Xj+uzF2z0YaC1Lhh55ko5zkvPxm7a+TgTtlzN/jnikZwl5Gg9+1VDCbcJv6dVZ14fFsNbl9ZjDuGWXEerZXT0qHTCGyv7MCx5l6kxMX4NdoYCeVCsMU08g+c2s5+xOo06LW58OyO2rC3HZq1G2xWbhLevOccTM9KxDef3xd0w7kkyfOQzi5JxzN3nIX/vnwONp5ow7WP7gzIlBys74HTLYUtVRmJojR5HILJ6kRDtzVoM5rrlxVCr9P4Ze8e2lQJSMB/XFwa8ntfOk/uDvfBKLJ32ys7YHN68LVzSkLeJlYnl7BtKe/wZTaf312H8/+wBXc881nQYHio/XU9yE6KDTkUNpQZ2Yl+5YGKk61mTM9K9GUwzypJR2ai3i9z6fFI2F7ZiXNLM3FWSdqo2oY3exsKnV8avDmOQvn9DS7NfHRLNX7y+hHsHUfTi+r2PiTF6nDlonzoNCLkvjslCAwX3I2WEAJLB81T+8OHJ5EUq8PdQ/ZjKorS4/G3Ly/BkUYj7nnxAHr6Haju6A9akgnIz5kYQ1OVV/c1IjspFucN8zsZqczEWGz50YW4d92cgLEHoZRkJMDh9vhlKUdDKZ27eFBDG+XC/WiTSZ5xF2KfkyIvJQ5nT03H6weaxryfeevJdlgcbvz40ll47LalON7Si68+vTfka9ntkXCo3jhs5n1efjKq2vtC7hl+11eSOdDJMiFWh7VzcvDa/kZ8eKwNd184XdUW8cUZCdDrNEHfV4J5/2grpmUl+IJCxYIQTVXeKWvBe0da8V83PXIAACAASURBVB+XlOLKhXmwOt1+I3BaTDYk6LVINsgZnsRYeR/q0JEYwEA2b7iKnOuWFcIjyeWj43WqU35epmWGfk8ZGGQeeG001k6Z4UzLSoQhRjPifXdPbT+FeL0Wt3i3S5A6ohk2zwTgliSpYtCxwwA+H5m7CA0x12s1SIjVQa/TBAR3LrcHJqsz6J47AEiO040+c+cNAtIT9ONqqNJssvpKHUZi5dQMHKiX99119tmRFh/jt8qToNciLkaranAXbnUMkJ8bnUb45sYMppRN/XTd7Ii31E3yDuncVim3OldGIIxGRoIeep1m1Jm7RYWpuHhODp769FTYwCFY1m6w7GQD/v2tlbh4Tg5+ueE4nt9V6/f1Y829qO7ox9VLCiCEwDfOn4a/3bwEle19Aaviu091QyOAZeMs8ZiSHo/GbgvKW5RmKoHBXVqCHlcuzMMbB5rQZ3ehqr0Pr+xrwK0rp4Tdi1OUHo8FBSmjKs08VG9EvF47bNZizexsNHn3bv1rVy3uf/MoFhWlYndNF274xy60DhPAH6g3Yllx2qj/hmbmJKGqvS8gKDvZZsbMQe3YtRqBL8zLxZbydl9grnSbPK80C0unpKHX5vIFQ8NRyjnPHSaQKM1JhE4jfE1Vem1OPLerFsDwe4/Cqe7ox7TsRCTG6rB0Shp2hAjuqrxBYKh9r2O1tDgNNZ39+OBoKz4ub8fdF87wmy821KXzcvHrq+djy8kOfOXpvQAQ0ClTkRA7+qYq7WYbtlZ04NqlhUE7NUZLsW+xbfRNVSRJwntHWlCaneiX1ZjnzdwcbjTKM+5CdMoc7IZlhTjV2T/qbLTinbIWZCTosWJqOtbOycHfb1mKI40m3PnsZ0HHyVS0mWG2u7B8BMGdyyPhREvwrNi7ZS04uyQ9YLj4lxblw+p0Iy/FgLuGjDuINK1GYEZWIk6OoKy1q8+O3TVdWDc/N+C9a2CMwcDfcbvZhvvfkt8bv3neNMzOld9XB5fQthhtyE0x+H2/hQUpQZuqHG00IS0+ZthFsamZCVhenIbX9jeOu4FZTUc/9FoNCsI85sAg88D3fWUherQz7sLRauT9zSOZo9hqsuHtw824cXnwrrcUOdF8J04EMPS3bwLgV7wthPimEGKfEGJfR0dkBvROtIiVZTrdvjKkZENMQKmGyeqEJCFCmTsrMhL0vsdLjY8ZV0MVZXbMSK3w7rs73GAMmHEHyCvYag4yP9XZP2zpgs77Jhtsn0d1Rz/yUwyq1XifV5qJo029ONHSO+qSTEB+/vJTDGgeTeauy4LijHj8YG0pTFYnnttZG/K2z++qQ1ZSbEDWbrB4vQ6P3bYM587IxB8/qoBxUGb4jYNN0Gs1uGLQzK9L5+UgI0GPDWUtft9n76kuzM1PDluSNBKF6fFo6bXhsHeVdl6IoOr2lcXod7jxxsEm/HnjScTFaEPuiRvssvm5ONRgHHFmQZlFNlxX1QtnyZ3LfvJ6GX7+1jFcMjcHr35rFZ7xNrC55tEdIT94O8x21HdbRlWSqSjNToTV6UbToAWCPrsLjT3WgFlbl8/Pg8XhxicV8nu60hDovNJMXxOIkV4Mb6vsQFZSLGYNs+8nVqfFjOxE37iC53fVwWxzwRCjGVejleqOPkzPkt8bzi3NxNFmU9CFr6r2PkzLToz44o7SOOLHrx1GbrIhbGZXceuKYvxgbakvIxcquANG31TlvbIWuD0Srl82vkYq4zUw6270++4+ONqKz2p7cPOQbIKSudlW0QGLwx2yU+Zgly/IQ7xeO6Z9VlaHG5tPtOOy+bm+QPnSebl46OYlOFBvxF3PfeZrrKZQXjehmqkozp6ajgS9Fr/acAwOl38p0ev7G1HZ3ocrg+z9vHBWFlZMTccvvzQvbBl0pMzMSRxRZ+GNx9vgkeTmL0OlefeUKn/Hdpcb333pICwON/50w0LotBrMzEmCEPAvse+1BZQ3LyhMQbvZHrAQeqTJ5C3bHP71ff2yQlS19+FwiHLnLeXt+NWG48MGfzWd/SjOiA/7mZCTrAwyD5a5syBGK4btWDta8/NTcLy5d9jqi2d31sIjSbgrzBgoioxoBnd9AIZeLSUD8HsVS5L0hCRJyyVJWp6VlRW1k1OTVhOZOXcWhwtx3ixISpwuYM6dUjYZbM+dfJ+RB3eNPVa/1aH0hLGXZbrcHrT12nz7vEbibO++u901cle8ocEdIJdmqpG567e70G62D5u5A+QykmArxdUdfZiu4kyV87ytiJ1uKeRMqeHkpcSNOHPXZ3ehw2xHSWYCFhSmYO3sbDy5PXj2TpIk7KvrwbkzMoctw9VqBO67cg7MNif+trkKgFxm9PbhZlz4/9u78/DI6ip//O9TW6qSVGXfu9PpvTu90Sv72oAgoAiIKDrqVwZmFEfl57iNC/N1YebLjDOOw6ioiLjigo6gILI3qzTQ3dB0N72m96ydpZLU/vn9ce+tVCVVlUpy6yZVeb+eJw90VVK59UlSdc8953PO0pqkq3sOuw2Xr6rH47va41ewg5EoXjvci9OnWJIJAHMrPFBKO2moLi0acwXbcNrccqxo9OHbj+/Fn14/iZvOXZDy93M0o9wpm9LMQDiKN0/047QMHSwNDWUeLKv34rXDvXjbijrc9b51cDlsOHdxDX51y5mIKYUr/utZnHnH47j5vq34r8f34sfPH8K9zx3Et/UuluOVdKWyWC+FSmyqYlxxHx14nb6gEhXFTjz8uhaYb9nbiWX1XtT53JhfXYLKEldWLeRjMYXn9nXh3MXVWZ1UtTb4sOtEP4ZCEfzw2YP6iWrVpOff+YMRnOgLxJuknL2oGkppmerR9nf6sShNM5WpWD2nHA6bYCAQwScvXpxVqTuglQ3/n7PnxztBprOySTuZzXZkyZN7OrGgugSLaqe3zXi9zw2XwzbhzN1AIIzbH9yJ1gYfPnjm2IZfq5vK8Kre3CubmVwlRQ5cvrIBD+04MSYQG8+TezowHI6O2Zt+xeoGfPP6NfjrwR7cdN/L8Qz4QCCMp9/qRHVpEZrHObZarxv/77o1ePVwL+54eFf89q2HevD5B17HWQurcEOKboJFDjvuv+VMXLpi7ODxXFhS78XxvsC4JeUPv3EScys9aS9urmoqwxvH+qCUwucfeB1/PdiDO69bHf899bjsaKkqScoSnugdW2F0nv5e+6fXRy4qZtNMJdHbVzfA7bThN6+kno1715P7cM9zB8e9wJVNRVF1aRFEkLLRW1v3IOZWZg4OJ2Nlkw8DwUhSieu+Dj/+4y9v4ai+j30wGMHPX2rDZSvrJzTbjibHyuDuLQAOEUncmLIGwE4Lj2Fa2MWsOXexkcydZ2zmzsisZc7cZddi+Nip4aRyg4riyZdlduizYybSOKCs2InWBm3fXZc/mDTA3FBTmpvgzti0nGoMwmgtVcU41D2YdMVNKYUDnYNZff1krWoqi5+grWyaeOYO0PbdncgyuGsbVav/iYu17N19L4ztHHn01DC6/MGsA4Zl9T68Z+Nc3PfCIRzsGsTz+7vQORDEu9aOzQRctboRgXAMj+/WSjO3H+lDMBLL2F47W8bJ0da2Uxm7kYkI3n/GPHQMBFFZ4sLfnpddqdKCmlIsqSvNqjRz5/F+hKMKazNkWBJ98uLFuPm8BfhvPbAztDb68OCt5+CLVyzHpvmV2Nfhxzf/8ha+8oeduP3BN3HfC22oLnVNKvu7qGZsZzujEcLSUZk7p92GS1rr8PiuDvQNhfHywVPx/VnaPrKK+D6yTHYe78epoXDWe7uWN/jQ3h/EXU/uQ89gCLdeuAitjT7s6xgYk73IxsFO7e/ACO7WzCmDt8iBZ/clV5n0B8Jo7w+aut/O4HHZsWZuORbVlsZnOmZD9FEh93xoY8bPy3ZOGKBlml480I3zl07/hVibTTCvsjhprt9jb7bjxh+8mLG50L8/+hY6BoL4+rtWpiwrNZrMAMh6X+q7N8yBPxjBIztPjP/JCf644wSqS10pL1a987Qm3HndGjy/vxvXffd5XP6tLVjzz4/iL2+246yFVVld7LhidQM+fHYLfvTcITy04ziO9Azhlp+8gqYKD/7nxnUzosHFEj34ekt/Xen2B/HfT+yNd80GgL6hMJ7b14XLVzakfd4rm7SmKt/40y488Oox3HbJkjFjOpbWeeNlmaFIDJ3+IOpHVRgtrCnFmrnl+O2rI3vmduvNVFbPyS6487mduGxFPf6w7fiYPY+dA0G8om/j+MGW9APPozGFtu5BzK/JfF7htNtQVeJKmbk72DVk6n47g3GB2RhmrpTCp3+9Hd96fC/Ov/MpfOr+bfiPv7yF/kAEN52b29Je0ljWF1QpNSgiDwD4vyJyE4DTALwTwFlWHcN0sZk1xDwUjWfufG5nUhkbgHg3y/R77pzoHw5DKZXxjUAphWO9w9i8fKTDY0WxC/2BCCLR2IT3VRhlaI0TKMsEgNPnV+FnL7XBJpI0485Q4y3Ciwcn3wI+nWw6ZRrmVZVgIBDBqaFwPKjuGAjCH4zkNHNntwnOWVyNJ3d3YH6GzdWZNJa7cbI/kNXP1OgI2lKtBUCr55TjnEXVuP/lI2NKEo2rj5nmpo32qUuW4A/bjuNfHt6FkiIHvG5Hyg6jG1sqUecrwkPbj+MdaxrxV/3nv6ll6sGdcTVRKaRsppLonac14vvPHMAt5y8Yd6BqostWNuDbT+xF50AwY2OCbfFZZNkFyJetbMBlKcqTAG1/Y+Ib6mAwgmAkBuMVoLjInnXTikRlxU7UeouSmh/sOTmAEpc9ZYOfy1c14Fdbj+Lf/7IHoWgM5y4eCQg2tFTgsV3t6PYHUZUhC7pFD6LOXpRdcGcE6d99+gBOn1+JDS2VONkfQDiq8Fb7wITHk4w0SdFeGxx2G85YWDWmqYox5HzhOCdik/Wd96+DQHKyx03bw6sFd5uXp58NCQAvHuhGMBLDBTmcVzURiZUUvUMhfPa3O9A9GEL3YCi+FynR60f7cN8Lh3Dj6c1Ym6Y0OfEEPtuMw6aWSsyt9OA3rxzFu9ZmF4APhSJ4fHc73r1+btrMyrXr5yCqFL712F7Mry7Bxy9ajPXzKiZ0cevzly/H9iO9+OxvdqC+zI1wNIYffHBDxn2bVloSH4cwgHA0hk/88jW09wfx9Fud+NlNZ8DlsOGxXe2IxFRS85fRjIsU399yENesbcLHLxpbOr+03os/v3kSw6EougeDUApoTHER+tp1Tfjy/+7ErhP9WN7gi1/4mMjrx9Vrm/D7bcfx1J7OeIMtQKsUUUob//HnN0+irXswZXfko6eGEI4qLMzi/b7W6x6TeVdKCw7PSNNVeioW15XCaRfsPN6PK1c34sEdJ7DtSC8+e9kydPmD+MVfD2MoFMX6eRWT2gJAE2f1ZZqPAvAA6ADwCwB/r5SaFZk7M8oyh8ORpMzd6BJLI7OWKXMXisYQCGe+Yt3lDyEYiSWdoFWUaFmi3gxlnaFIbEzACYx0ZGyYQFkmoHWFDEZiGA5H05Zl9g6F03b/mizjym82V7hSdcw0TgDTzbcyyz+9fTnu/fCmSZdYNJZ7EFOpu2qNlqrL1iWtdTjcMzSmW+irh0+h2GUfd09UolqvG39/wUL8eWc7Htp+AlesakhZbmazCa5Y1Yin9nSiPxDGSwd7sKzeG59LNRV1Pjdc+slypswdoO0XfOLTF+A9GyfW8evylfXx0s9Mth3pRb3PPaFsd7ZKihyoLHGhQv+YTGBnWFLnTQrudp/sx+I6b9LMKcPZC6vhdTvw0xfbUOSwJZ2Qro/PbxvblS7Rlre6sKzei1pvdutiNKOJxhRu1U/u4l00J1Gaub/TD7tN0Fw58ndw7uJqHOkZxuGEcsD9eoYvF5k7QPt7yVXXwpIiBxZUl2TVVOWpPR1wO2043YTMuRlaqorR1jOIWEzhjj/tRrf+nphqO0I0pvBPv38dVaVF+Me3LRtzv6G1Qdv3WlHszPpCjs0muHbdHDy/vzteljaeJ3Z3IBCOjTsu6PoNc/Hc5y7CT286HZ+6ZAnOW1KTdWkuALgcNtx14zoUOe041D2E/7lxfc7fqyZiToUHHqcddz9zAO/7/osocTnw6UuX4OVDp/DVh94EoJVkNpS5sWZO5r2jdptg0/xK3HHtqpQXtJc3eKGUVlo+cp4y9sLUlau1zrhGx0ujmcpEulSfs6ga1aUu/H5U18xH3zyJ5spifP1dq+CwCX6UphO1MUduvMwdoO27ax9VltnpD2IoFM1qu8lEFTnsWFLnxRvH+hAIR/GvD+9Ga4MPt5y3AF+6shXPf+4ifPnKVnzjXatM/96UmqXBnVKqRyl1tVKqRCnVrJT6uZXff7qY1VAlOXPnGDPnriPFyIBERhnfePvujAYJTQmbx41sYLrSzFODIVz33efxzrueG3Pfifhg0Ill7jbN1/bdAVoJ5mjGyU23f/JdPFM52DWIhjJ3VpvHjStsbSlO7Bbk6Kq9obHcM6VyRGNvQeK+uxcPdGPD1x4bU69/qGsQNd6ipAYxRmnclr3JWYtXD2tztCaaVfjIOQvQUOZGKBobUz6T6Mo1DQhFY3j49RN4pe2UaSeWdpvE95mOl7mbrGX1XrRUFePPOzOXZm47cirtQOKZZFFtKfa1D0ApBaUU9pwcGNNMxeBy2HDJ8jrElPa3nXhCuqqpDE67ZNxzMhSK4JW2U/E9MNmoLHGhqdyDNXPKcI6e7ZtXVYJil31STVX2d/oxr7I4qfTVyCL+6Y2RErx9HX447TLuPqiZKpumKkopPLmnE2ctHH9vrVXmVZcgEI7hwR3Hcf/WI1ijZ916UzQDe2xXO3Yc7cMXr1iecQ+ix2XH4trSCf8sr103B0oBD7yauQV+LKbQMRDAA68eQ423CBtNqEIYT0OZB/fffAZ+dtPp43adtZrNJlhSV4oDXVq35Ac/fg5uvWgxbjlvAX7yYht+sOUAntmrZb9SXUQyVJS48Ju/OxP3fGhj2gtYS42OmScG4u+Dqbp6V5a4cOGyWvz+tWOIxhR2HOvDqjmpZ0Wm47DbcNWaRjy+uyN+DjYQCOP5fd24tLUO9WVuXLm6Eb/eeiTlOZpREp5NcKZl7pIv2hrnKOlmpk7VysYy7Dzej3ueO4hjvcP44hXL4z+f8mIX/s8588eU61PuTH+B9SxgswlMiO2S9tyVJZRYGtq6h1Dvc6d9o806uBs1BgEYCRhTDTLvGAjghrtfxI6jfWjrHhqzEfp43zCKE2bHZKu82BVvV1ztHRuwGi3GJ9LOPxsHsti0bJhb6YFIcoe2/R1+FLvsqE/TkGOmMDpmJXbM/N2rx9DlD+KFUQ0iDnUPYv6oN4X51SVoKvdgy96R/UZDoQh2nRiYVOmFx2XHN65ZhXesacwYsK2dW46mcg++9dheDIWi2GRCMxWDcdU4F1c3AW3f0+bldXjhQHd8qPRo3f4gjvQMp51FNpMsrivFYCiqDXr2B3FqKJzxDfxyvfvpeYuTAzS3046VTWV4pS39/LmXDvbo5ZwTOxm950Mb8b0PbIifiNltgmX13sll7joGsWBUlmNhTSnOXVyN/3lyX/zi174OP1qqSqZ1NMBUrGwqQ3t/MGVTBsPBrkEc7hnChTNgv51hnh6Aff6B1zG30oN/uqIVQOr3PON9bvTvYirfuGYVvvKOiU1tmltZjDMXVOF7T+/Hbfdvw0M7jqNvKIxdJ/rxo+cO4ub7tuLsf3kCS7/0MDZ9/XE8sbsDV6xqML3ZRTqL67w4Y4F5r51m+vJVK3D3B9bjm9efFr+g+JnLluHcxdX42h93IRSJ4e2rMmc4AWBtc0XGbGtzZTE8Tjt2nxyIj4xJN7LpmrVN6BgI4ondHdjbPoBVk9jrfvVpTQhFYnhEvxD05J5OhKIxvE0vL/3IOfMxGIri/pcPj/nag12D8LodqMqiSqXOV4QufzBpr+lIRVJuLjitaPKhZzCEbz22Fxcvr8VZWZbOU27k5ztPnrELTMrcjXTL9HmciMQUhhMGOh/uGURzhj/c7DN3+gDzhM3jRgfO0eMQjvcO44bvvYjDPUPxYd0HOpPL9E70BtAwanZMtoz68FRlmcZG92y67GWrZzCUVUcqQ5HDjsYyT1Lm7kDXIBbWmN8C3WzGm5jRVCUWU/FGJS+PGvJsjEFIJCI4d3E1nt/XHX8T2X6kD9GYGrctdzoXLq3Ff713bcYrsiKCK9c0xINSM5qpGG7Y2IyPXrAwpydYm5fVIhSJ4bl9qfeLjuy3y4PgrnZkf0y6TpmJLlxag396+3Jcn6Ir3/rmCmw/2pe20cmze7vgctgmnNlYWu8dU966orEMu7Jo3Z0oGlM42DWIhbVjXxu+eEUr/MEI/vMxbYzrgU5/zkoyrWDsV3p2bxcOdPrxxrG+pJEXAPDUHu2izkzZbweMlI0PhaL4+tWr4hfYUr3n9Q6HIaK9l45nXfPk9gp97V0rcUlrHZ7Y04Fbf/4a1vzfR3H5t7bgnx98E7tO9mNDSwX+9twF+Oo7V+D7f7MB//i2pRP+HoVo/byKMd057TbBt9+7Fs2Vxaj3uSf9HjP6MZfUlWL3yX6c6AvAW+SAN81InYuW18LnduBfH9mNSExl3Skz0eo5ZVhQXRIv73x050lUl7riv1srm8pwxoJK3PvcoTFNgA50+bEgy/OKWp8bMYV4WTKgXfx32GRCpaQTYTRVicYUPv/25Tn5HpQ9yxqqzGamNVQJR1GcMOcOAPqHIyh2aT/GQ92Zr6JOJHPnLXIklaoYmbvEcQhDoQjec/cL6B0M476PbEK5x4l7nz+EA13+pDlKqWbHZOuqNY14YX93ymCr1uvGotpSvLC/G393/sJJPT6gbVT+zlP78deDPfH9Q+MNjk40T++Yadjf4ceGKQ7UtoLX7YTX7YhnPncc60OXPwiXw4ath0YC5sQxCKOdu7gGv3z5CLYf7cP6eRXx4e25Lim8anUjvvf0ASysKTF179F4+13MsKGlEt4iB57Y3Y5LWsc2rNh2pBd2myR16ZupFusBzL6EfXeZMncOuy1td9ENLRX4wbMH8fqxvjEnbqFIDE/t6cDpo8o5J6u10YefvNiGo6eGM14QS3T01BBC0VjK/UlL671476Zm/PSlw3jPxma09QxZ8ruUKyuaymAT4LZfbY/fZrcJ7v3wxngjnCf3dGBhTcmMamveWO6G1+3A5mW1OG9JDfr0i5Gp9oL3DoXgcztzeiFnYU0p/vOGtYjGFF47fArP7+9GY7kHZyyoxJwsZuZRsvJiF/5w69nwByOm/dyW1nvx+K4OlBY5Mu5xLnLYcdWaRvzsJS2rtirDfr90RARXr23CN//yFg51DeKpPZ24cnVytvYj5yzA3963FY/sPIkrV4/MHTzYOYjTs8y0GlVNHf3BeCOhQ92DmFPhyVk1wfIGL4pddrxn49wZtYdztmLmzgKmNVQJReMnNj6PFtAZgdqgfgKeqZ56Invumka1fI7vuUt4k9x2uBdHeoZx57tXY2NLJZqrimGTVJm7sbNjsrWuuQKPfPK8tFfTzlxQhZcP9SCcodX1eL760Jv49StH0VThwT++bSl+83dn4sbTs2+UkdihbTikDXXOlxe3pnJPPAP2xK522AR4/+nzsKd9IP57MnoMQqKzF1VBBPHSzFfbTmFhTUnOO6+taPRhzdxyXJahW9pM5XLYcN6SGjy+qyPl0NptR3qxpM4bv2gzk1WUuFBdWoS97X7sOTmA6lJXxm6XmayfVwmXw4ZbfvIKfv7S4fiV6+f2deHybz2D/Z2DuNKkgGmkqUr2w7rHa5R02yVLUOy04x9++RqiMZU3rwGplBY5cM+HNuKOa1bhP99zGr77/vVYXFuKj/7sVezr8GM4FMVLB3tmVNYO0C4e/PmT5+HOd68BAHjdDogA/akyd0PhtDNhzWa3CTa0VOIfNi/GdevnMLCbgvJil6nrt6zeh+7BEN441peymUqia9Zpe8ErS1wpu2pm452naQHb5x94Hf5gJKlzJqBVdjSWufG7hL2aw3rpe7YVRUZA1653zFRK4fVjfTnbbgDoTcb+vwvwRb0UmqYXgzsLmNZQJRwd6ZZpZO70/W3G8MjRpXOJsg3u2vuDY65guZ12eJz2pIYqO/WGBMaepyKHHXMri+NdnYD0s2PMcubCKgyFothxNPuTtETRmMLz+7txzdom3PvhTfjYhYuwoaVyQiWVLVXF6BkMoT8QHpmRl+NmKmZpKHPHM3eP7erA+nkVuLi1FkohnoUbPQYhUXmxC6ubyrBlbxeUUnj18ClLWh2LCP73Y2dn7HI3k120rBYdA8H435AhFlPYdqQ3L0oyDYtrS/FWxwD2tA9MacN8jbcIv7rlTMyvLsYXfvc6LvvWFvzdT17BjT94CeGowj0f2jDh7qTpLK33wm6TCTVV2TfOeIOq0iJ8fPOi+Oflc1kmoJVbvndTM65e24TLVtbj+3+zAS67DTf9+GU8/MYJhCIxXDCD9tsZGss98XltNptoY4PSlGXOlPb/NH2MBlDH+wLjBmzrmiuwoKYE65orJr3tYl5VCdY1l+OFA90ocdlx1qLkbJzNJrhidQOe2dsZzzwblUHZnlfEgzt9z+wL+7vR1j2Eq9Y0ZvqyKasvc1u2Z5QyY3BnAa2hytSCu3A0hnBUodg50lAFGLkimSm7YjCyX+MFd93+YMo9bhXFzqQ9d28c70NjmTupO+eC6pKkzF17fyDt7BgzGBvCXzwwuXl3rx/rw0AgkvXcrFSMgPpw95BlYxDM0ljuwYm+AE70DePNE/3YvLxO63RpE2zV992lGoOQ6NzFNdh2pBc7jvbh1FA46+Hls9kFS2sgAjy+qyPp9gNdgxgIRLIeXj4TLK4rxb52P/a2+7G0bmpdRk+bW45f3XImvvv+9YjGFJ7c04FPXbwEj37qPFy0LPPMtYlwO+1YWFMyJrjOZH/HIKpLXRkDgg+e1RJ/hYMcvAAAIABJREFUPciXCzzZmltZjO99YD2O9wbwmd/sgMdpN3W/a66UF48dGwRoZZnlWey3o8KWeEFqvNEzIoJf3nwG7rxu9ZS+59VrtQzgBctqU3byvGpNI8JRFe+qfGACnTIBoLrUBRHEO2b+9KU2lBc7s2pCQ4WBwZ0F7DL1zF1Ab5ySOOcOGMncHdLLAjPtH7HbBF63I2WJikEpha7BEKpSDA2vKHGNydy1NibvC1pQU4qDXf54o4KT/elnx5ihssSFZfXeMd0dR3t2bxf+sP34mNuf04cPn7Vw8l3DjFLYQ92DONA5CJHsX4SnW2O5Bz2DIfxxh9a9a/OyWhS7HFjRVBbfd5dqDEKicxdXIxpTuOvJfQBgykb3QldVWoS1c8vxxO7keXfxZip5MAbBsLi2FAPBCIbDUSytn/pFDRHBZSvr8dht52P7Vy7FJy5enJNW+60Nvgl1zNzf6R/TKXO0Iocd//Ge0/C5y5flRVntRG1oqcQd16xCJKZw9qKqKc1ItEpZipmwgLVlmTRzVZUWxfdtN2ZRYVTrdU95rupVqxsxv7oEN6RoLAVoDY3mVRXjwR3aOcvBLu2icTazdwGtPLmqpAgdAwF09Afw6M52vHv9nBkzsoRyj8GdBew2QWSKwd1wSAvu3Alz7gCtoQqgdUKqLHHFyzXTSfdGZxgIRhCKxFBdkipz50KPvuduKBTB/k4/Vowa9rygRpszdEIP6oySv1xl7gAte/fyoZ60w8w7BgL46M9ewWd+sz0eDBu27O3EikbfpPcJASOZuzY9c9dU7smbF9FGfbD8z186jObK4ngp2YZ5Fdh2pBehSCzlGIREa5srUOKy49E32+F1O7AoT7KW023z8jpsP9qX1G5+25FTKC1y5E3mFwAW1Y5c+TbmRpnBbpOc/h21Nvpwoi+QcrxLKvs7/Vn9XNY1V0ypwdNMd+36Ofjv963FZy/Lj5LoMo8z5Zy73qFQfC85zW5GaWZDuTXjiypKXHjy0xfEmxONJiK4cnUDnt/fjS5/EAe6BlHvc6e9wJpKna8I7f1B/PLlI4jEFN53+jyzDp/yAIM7C9hEJtRyOxVj5IHRLXN0iWVb92DG/XaG8YI7YyB4usyd8Sa568QAlNJa9yZaUK2d/BzQyxNP6M06xit3mIozF1YhGIlh2+HelPd/7aFd8AcjCIRj+NOOkUHDQ6EIXm3rjQ83nqxilwO13iIc6hrM+gRwpjAGyx/oGsRFy2rj+wg2tlQgGInhjeN9KccgJHI5bDhTz3yuba7IOMaARly0TGtG8dRurRnN47va8b/bjmPdvIq82rewpK405f/PdK0N2mtXun130ZjCvo4B/HHHCdz55904NRROu99utrlydSMWZxh5MZMYM2ETRaIx9AciGYeX0+wRD+5yeJ4yUVetaUQ0pvDwGydxsGtwwmXetd4iHO8dxi/+ehjnLq7Om2oiMgeDOwvYbUB0invuhvTMnTHnzuWwweO0J+y5G8oqZT9+cKfVaKfKZFUUO+NXuXce1xqYjM7cGSc/Ro34id7hjLNjzHDGfK1j4wsp9t09/VYn/rD9OD5+0WIsrCnBr185Gr/v5UOnEIrGprTfztBSVYKDXVpZZj7ttUmceXPx8pE9TevnaXtpnt7TmXYMQiIjQF6XR+WE021ZvReNZW48+uZJ/L9HduMjP96KuRXF+No7V073oU1IVWkRKktcaK4szqtSxNbGzB0zv/DA67j4m8/gYz9/Fd95aj8W1Zbi/CUzr4EIZVbmGdtQpT+gVbywLJMA4G0r6nHmgqoZNdZjaZ0Xi2pL8eD24zjQmf3sXUOdz43dJwdwoi+AG5m1m3Xy5504j9lsgtjkO/UDGMncuV0jZUplHif6A2EEI1Ec7xtGcxYvTGUeZ3yWWypdRuYuRU15RbEL/YEwItEYdh7rR2WJa8yVrhpvEUqLHEmZu1yXOpQVO7Gi0YcX9nfjkxeP3B4IR/Gl37+BBdUl+OiFC+Fx2fEvD+/GAX3vzHP7uuCyT3wocirNVcX4w/bjCEVSz8Gaqep8bogAJS5HUnOEGm8RWqqK8cBrWjA83oWDS1bU4+5nDiQFiJSZiOCi5bX46YuH8diuDtywcS5uf8eKvCnpTXTB0ppxS8JnGuP1K13m7qWD3dg0vxJfvrIVi2pL8/LnQiMNVZRS8coEY+4dyzIJ0PaS/uLmM6b7MJKICK5a3Yj/eOwtABPfx1+rd8ys8xXh4uUza2QJ5R4zdxawi0w5cxfQM3fFCScYPo8D/cMRHOkZhlKpW9WPNm7mblDL3KUaDF1Z4oJSWinoG8f7sKLRN6YdsIhgQU1JfBzCib5AvPQvl85cUIXXDvfGG88AwLef2IvDPUP42rtWoshhx7vWNsEmwG9f1QKWZ/d2Yf28iniTmqloqSpGKKJF8PkU3LkcNjSVe3DB0hq4HMkvBxtaKnGkR9szOd7vVlO5B89/fvOYMl3K7Jp1c1Dvc+PO61bjX65dnbcBxDevPw23v2PFdB/GhKVrqjIUiqCtZwhnLazCyqayvP25kPaeF40pDIZG3huMrs9lzNzRDHblmpHulhM9rzAGmd+wsTlng8tp5uJP3AJmzLmLl2UmBCI+t5a5M8YgZBpgbsh2z12qK5pGCUvHQBBvtQ9gRWPqE/nEcQgn+iY/wHwizlxYhVA0hlfbTuHUYAj//ugefO/pA7h23RyctVArGazzuXH+khr89pVj6BgI4M0T/Thn8dRLMoHktc+3fTk//cjp+GqKUsCNLSNdL7Pt0kUTs665Ai9+YTPevSF11zTKrRWNPuzvHEy6KAQAe9v9UGpkLw7lL2NfnZGtA4C+YWbuaOZbWFOK1gatfHyimbuNLZVYM6cMN55uzmxQyi8M7ixgNEeYSlMVoyzTk5S50wK1Nn0MQjYn4D6PE6FIbMzJjKHbH0SZxzkmiwMgPs/urwd7EI6qMfvtDAtqSnGsdxh9Q2F0+UOWZO42tlTCbhN84+FdOOdfn8C3n9iHS1rr8KUrlyd93nXr5+JkfwB3PrIHAEzZbweMrL23yJEy6zmTtVSXpGztvEEvV800BoEon7U2+hCNKew5OZB0u/FvM7t/0vQo82ivbYkXNU8Nav/POXc00914RjMay9yYUzGx86il9V78763nxMszaXbhGZsF7HrpYlQp2DC5LnjD4VSZOwf2dmiZO2+RAxVZlJgYVzH7hsMpS426/Kln3AEjVzm37NVmw6UrwTMaihgNTqxoL+x1O7F2bjleOXwKV65uxK0XLkoaTmq4uLUWZR4nfv3KUfjcDqwyqYzQmC+4oLZ0TKlqvlpQXYLKElfGMQhE+SzeMfNEP9YkDI7ffXIAbqctq33MNLPF3/MSxiEYDVbYUIVmuvdtasb7NjUXzHkFWYPBnQWM1vDRmMJkt24Mh1Jn7vqHI1qr+urirP74E4O7uhRXdLr8wZQz7gDEszsvHuhGaZED89Kc+BjjEJ7frwWB2QwGNcP/vH8dguFYxo5XRQ473nlaI+57oQ1nLaw2reV8mceJWm8RluZRK/jxiAi+clUr24VTwZpT4YG3yDGmqcqe9n4sqfPm1UgKSs0I4BIzd31DIYgg75oA0ezDoI4mg8GdBeJlmVNoqpIqc1fmcWIgEMah7sGsG1kkBnepdA+GsLg2dYBiZAb9wQg2tVSmnWdm1IY/u08L7nI54y5RrTe773P9hrm474U2nL/U3LbmP73p9HjpaqF452lN030IRDljswmWN/rio10Me04O4MKl7DBXCOJ77hLLMofCKPM4OZOTiAoS99xZIF6WOZU9d3rmzu1IbqgSU9qMu3RZtNFSlagk6vYHUZ1ixh2gZQ2L9L14rWn22wFaANpU7ok3VWm0oCxzIlY2leFP/3Aurje5icWSOm/atSOimam1wYfdJwfir89d/iC6/KGUZd2Uf1Jd0OwdDrOZChEVLAZ3FrDFG6pM/jGGw1G4nbakK40+z0jiNdtuhpkyd5FoDKeGwmn33IlI/A1xvEyhse+uzOOckYONWxt9LLkiIrQ2+jAUisa7DhvNVJaxmUpBKHbZ4bRLcnA3FGK5OREVLAZ3FrDrMcRUZt0Nh6JjgqTE/QLzqiaYuUsR3PXoraKrMmSfjH136TplGhbopZlWjEEgIposo9W4Me9ud7xTJjN3hUBEUOZxojexocpQmM1UiKhgMbizgN1mQllmOJrUTAXQGqoYsplxl/g1qYI7Y8ZddYZ9YxXF2piERWn25RkW6AM3GdwR0Uy2pM4Lp12wU2+qsudkP6pKXHk30oTSK/M40Z9UlhliWSYRFayZVy9XgGxmNFQJaWWZiYwsnNtpQ22WJyJ2m8Bb5EgZ3HX5gwAyZ+42zKtARYkLTnvm6wJGWWZDuTWdMomIJkO7WOWNd8zcc3KAWbsCU+Zxond4ZIh572CYZZlEVLCYubPAeA1VAuEoPnX/NhzWh5GnMhxOX5Y5r7JkQl2/fKOuYhqMzF26PXcAcNulS3HX+9aN+z2MzF0jM3dENMO1Nvjw5ol+xGIKb7X7GdwVmDKPM35BMxyNYSAYYeaOiAoWgzsL2MYpy3yrfQC/e+0Yfr/tWNrHGApFUpRlasFec5b77QyJb3SJjMydGR0fm8o9uOOaVaZ3pCQiMltrow+dA0G8evgUhsNRLGNwV1DKi13x97x+DjAnogLHskwLjJe5a+/XgqpX2k6lfYzhcGxMGYnX7YTDJvHmJdlKF9x1D4bgtAt8bnN+Ld67qdmUxyEiyiWjQdQDr2kX2JayU2ZBSWyocmqIwR0RFTYGdxaIN1RJs+euYyAAAHjt8CnEYipliWUgFEWDL7nE0W4T/OjDGyfcsrvM48T+Tv+Y27v9QVSVFEGEIwKIaPZYrnfMfGj7cYgAS+oyN4yi/FLmcWIgEEE0ptCn770rZ1kmERUolmVaYGTOXebMXX8gkjLoAoChcAQel33M7ecurplwV7e0mTt/KON+OyKiQlTmcWJOhQf9gQiaK4tn5GxOmjyj6qV/OBzP4JWzoQoRFSgGdxaIl2Wmy9z1B+DQA8B0pZnDoRjczrHB3WSUFaffc5epUyYRUaEySjO5367wJM53ZVkmERU6BncWMKYGpN9zF8DSei8qip1pg7tAOIriFJm7ySjzOBGMxBAIR5Nu7/KHMs64IyIqVK0NZQC4364QGYFc73AYvUMsyySiwsbaEwvYxCjLTH1/e38QDWVu1PvcePXw2OBOKZWyW+Zk+RJKVIxsoFIK3YNBVHNwLxHNQq3M3BWsxMxd71AYNgG8RTz9IaLCxMydBbJpqFLrc2PdvArs7xzEqcFQ0v2haAwxhZR77iYj8Y3OMBSKIhCOoYqZOyKahc5fUoMvXdmKzctrp/tQyGRG5q5vOIze4RDKi10Tmg1LRJRPGNxZwJ5hzl04GkOXP4Q6XxHWNVcAAF47kpy9C4S0lJ9ZmbtUwd3IAHNm7oho9nE5bPjIOfNR5DDndZZmDqNapW8ohN6hMJupEFFBY3BnASO4i6XI3BmDw+t8bqyZWwa7TfBqW2/S5wyFIwBym7nrGtSOg90yiYiokIwuyyxjMxUiKmAM7iyQaYi5MQah1luEYpcDrQ2+MU1VhkNa4xMzG6oAqTN31SXM3BERUeEoctjhcdrRO6SVZVawmQoRFTAGdxbINOeuvV8bYF6nDyhfP68C2470IhId6b4yrHe1NGsUgs+tbSRPytz5mbkjIqLCZMx3ZVkmERU6BncWyNRQpUMP7mp9WsZsbXM5hsNR7D45EP8cI3NndrfM5MwdgzsiIipM5cUJwR0zd0RUwBjcWcA2Tlmm3Sao0ssh18/TmqokjkQwMndmlWU67TaUuOyjMncheN0ONhMgIqKC4/M40eUPwh+McIA5ERU0BncWyNRQpb0/gJrSovjnNJV7UOcrStp3Z2TuzCrLBEZKVAzdgyFUs1MmEREVoHKPE4d7hrX/Z3BHRAWMwZ0FRhqqjL2vYyAYL8kEABHBuuaK5OBOz9yZ1S0TAJbWe/HMW50YCmmdOLv9Qc64IyKiglSmZ+4AsCyTiAoagzsL2PRVTl2WGUCt151025q55Th6ajg+zNzsbpkA8PHNi9HlD+FHzx0CoHXL5H47IiIqRGUJTVTYUIWIChmDOwtkKsvsGAiizpdcDrm6qQwA8PqxPgDAkMkNVQBgXXMFNi+rxfee3o++4TC6/EEOMCciooKUWIrJskwiKmQM7iyQbs5dMBJFz2AoPgbBsGJUcGf2KATDbZcuQX8ggu89vR89Q9xzR0REhSkxc8c5d0RUyBjcWcCYczc6uOsc0Or/R2fuyjxOtFQVY8fRXgBAIByFTYAih7k/rhWNZbhidQN+sOUglAKqWZZJREQFqCwhoCtj5o6IChiDOwuky9y192vBXe2ozB0ArJpTjjeO9QPQyjI9TjtEfxwzferiJYjEtE4vxjgGIiKiQmJk7uw2gbfIMc1HQ0SUOwzuLJBuiHnngD7A3Ds2qFrV5MOx3mF0+4MYDkdN7ZSZaFFtKa5ZNwcAB5gTEVFhMoK7co8zJxdKiYhmCl6+soBRlhlLk7kbvecOAFY1lQPQ9t0FQrkL7gDgH9+2FG6nDWvmlOfsexAREU0Xo0MmSzKJqNAxuLNAvCxTjQ7uAnDYBJUpNnevbPIBAF4/2hcvy8yVOp8bX7t6Vc4en4iIaDoZmTs2UyGiQsfgzgLGnLtUmbtab1E8s5fI63ZiQXUJdhzrQygSy2lwR0REVMh8CWWZRESFjHvuLODQo7vRDVU6BgIpm6kYVs0pwxvH+nK6546IiKjQ2W0Cr9vBskwiKngM7iwwUpaZfHt7fyBlMxXDqqYynOgL4EjPEDN3REREU/CZy5bhfZuap/swiIhyisGdBdKVZXYMBFM2UzGs0oeZn+gLoNjFCloiIqLJ+sAZ87ChpXK6D4OIKKcY3Fkg1SiEQDiK3qHwmAHmiVY0lcHo2Oxm5o6IiIiIiDJgcGcBW4oh5p0D6QeYG0qLHFhQXQIA8Lj4oyIiIiIiovQYMVjAnmLOXXu/NsA8U1kmAKzWZ8+xLJOIiIiIiDJhcGeBVHPuRgaYpy/LBEb23bEsk4iIiIiIMmFwZwFbhsxdrTdz5m7VHC24Y7dMIiIiIiLKxJTgTkRuFZGtIhIUkXtT3L9ZRHaLyJCIPCki88z4vvnEbpOkzF3HQBBOu6BinJk7KxvLsLTOi9ZGX64PkYiIiIiI8phZmbvjAL4G4J7Rd4hINYAHAHwJQCWArQDuN+n75g27CKKxkX939AdQ63VDjHaYaXhcdvz5U+fh/CU1OT5CIiIiIiLKZ6Z06VBKPQAAIrIBwJxRd18DYKdS6tf659wOoEtElimldpvx/fOBzQbEEjJ33YMhVJW6pvGIiIiIiIiokFix524FgO3GP5RSgwD267fPGnYRRKIjwZ0/GIHXzQ6YRERERERkDiuCu1IAfaNu6wPgTfXJInKzvn9va2dnZ84Pzio2myRl7gYCYXiLMu+3IyIiIiIiyta4wZ2IPCUiKs3Hs1l8Dz+A0d1AfAAGUn2yUupupdQGpdSGmprC2Wdmt0nSEPOBQASlzNwREREREZFJxo0ulFIXTPF77ATwQeMfIlICYKF++6xhl+Rumf4AyzKJiIiIiMg8Zo1CcIiIG4AdgF1E3CJiRC6/A7BSRK7VP+fLAHbMpmYqgF6WqWfuYjEFfygCr5tlmUREREREZA6z9tx9EcAwgM8BeL/+/18EAKVUJ4BrAXwdwCkApwO4waTvmze0UQhacOcPRaAU4C1i5o6IiIiIiMxh1iiE2wHcnuH+xwAsM+N75avEIeb+QAQAWJZJRERERESmsaJbJkEL7oyyzIF4cMeyTCIiIiIiMgeDO4tomTvt//3BMACwWyYREREREZmGwZ1FbIJ45q6fZZlERERERGQyBncWSZxzFy/LZEMVIiIiIiIyCYM7i9gkVUMV7rkjIiIiIiJzMLizSHJDFW3PHcsyiYiIiIjILAzuLJI0CiEYgU2AYpd9mo+KiIiIiIgKBYM7i9gkec9daZEDIjLNR0VERERERIWCwZ1F7DZBTBndMsPcb0dERERERKZicGcRe0Lmzh+IcL8dERERERGZisGdRWw2IBbT/n+AwR0REREREZmMwZ1F7DZBRI/uBoJhlHLGHRERERERmYjBnUW0OXfa/2tlmdxzR0RERERE5mFwZ5HkOXcsyyQiIiIiInMxuLNIYkOVgWAEpQzuiIiIiIjIRAzuLGLTRyEEI1GEIjH4WJZJREREREQmYnBnESNzNxCIAADLMomIiIiIyFQM7ixitwuiSsGvB3fslklERERERGZicGcRu2gNVUYydyzLJCIiIiIi8zC4s4jdpmXuBoJhAMzcERERERGRuRjcWcQmglgM3HNHREREREQ5weDOInYbkhqqsFsmERERERGZicGdRYyyTH9AL8tk5o6IiIiIiEzE4M4itjENVRjcERERERGReRjcWSSeuQtG4Hba4LRz6YmIiIiIyDyMMCxi04eY9wciKC3ifjsiIiIiIjIXgzuL2G1GWWYYPpZkEhERERGRyRjcWSSxLJPNVIiIiIiIyGwM7iySOOeOzVSIiIiIiMhsDO4sYrcBkVgMA4EwvNxzR0REREREJmNwZxG7CGJKy9yxLJOIiIiIiMzG4M4iNpsAAPqHwyzLJCIiIiIi0zG4s4hdtOBuMBSF182yTCIiIiIiMheDO4sYmTsA8BYxc0dEREREROZicGcRe2Jwx7JMIiIiIiIyGYM7izgSgjs2VCEiIiIiIrMxuLOITRIzd9xzR0RERERE5mJwZxGWZRIRERERUS4xuLMIG6oQEREREVEuMbiziJ1lmURERERElEMM7ixiT1hplmUSEREREZHZGNxZxGioYhOg2GWf5qMhIiIiIqJCw+DOIkZDldIiByShRJOIiIiIiMgMDO4sYgR33G9HRERERES5wODOIkZZJvfbERERERFRLjC4s8hI5o7BHRERERERmY/BnUWMzF0pZ9wREREREVEOMLizCPfcERERERFRLjG4s4gx545lmURERERElAsM7iwSL8tkcEdERERERDnA4M4iRlmmj2WZRERERESUAwzuLGJnQxUiIiIiIsohBncWsXEUAhERERER5RCDO4s42C2TiIiIiIhyiMGdRVobfXjvprnY1FI53YdCREREREQFiDWCFil2OXDHNaun+zCIiIiIiKhAMXNHRERERERUAKYc3IlIkYj8UETaRGRARF4TkctHfc5mEdktIkMi8qSIzJvq9yUiIiIiIqIRZmTuHACOADgfQBmALwH4lYi0AICIVAN4QL+9EsBWAPeb8H2JiIiIiIhIN+U9d0qpQQC3J9z0kIgcBLAewCEA1wDYqZT6NQCIyO0AukRkmVJq91S/PxEREREREeVgz52I1AFYAmCnftMKANuN+/VgcL9+OxEREREREZnA1OBORJwAfgbgxwlZuVIAfaM+tQ+AN81j3CwiW0Vka2dnp5mHR0REREREVLDGDe5E5CkRUWk+nk34PBuAnwAIAbg14SH8AHyjHtYHYCDV91NK3a2U2qCU2lBTUzPhJ0RERERERDQbjbvnTil1wXifIyIC4IcA6gC8XSkVTrh7J4APJnxuCYCFGCnbJCIiIiIioikyqyzzOwCWA7hKKTU86r7fAVgpIteKiBvAlwHsYDMVIiIiIiIi85gx524egFsAnAbgpIj49Y8bAUAp1QngWgBfB3AKwOkAbpjq9yUiIiIiIqIRZoxCaAMg43zOYwCWTfV7ERERERERUWqmj0IgIiIiIiIi6zG4IyIiIiIiKgCilJruY0hLRDoBtE33cWShDGNn+c1EzQAOT/dBZIlraj6uqfm4pubjmpqPa2o+rqm58mU9Aa5pLnBNxzdPKZXVjLgZHdzlCxG5Wyl183Qfx3hEpDPbX4zpxjU1H9fUfFxT83FNzcc1NR/X1Fz5sp4A1zQXuKbmYlmmOR6c7gPIUu90H8AEcE3NxzU1H9fUfFxT83FNzcc1NVe+rCfANc0FrqmJGNyZQCmVFz9s5E96nmuaA1xT83FNzcc1NR/X1HxcU3Pl0XoCXNNc4JqaiMHd7HL3dB9AAeKamo9raj6uqfm4pubjmpqPa2o+rqn5uKYm4p47IiIiIiKiAsDMHRERERERUQFgcEdERERERFQAGNzlIREpEpEfikibiAyIyGsicnnC/ZtFZLeIDInIkyIyb9TX3iMi/SJyUkRuS7jPJSK/EZFDIqJE5AKLn9q0yeGatorIVhE5pX88JiKtVj+/6ZDDNW3Rfz/9CR9fsvr5TYccrumNo9ZzSF/j9VY/R6vlak31+28SkX36mj4iIo1WPrfpMsU1vV5EntfveyrFY98tIntEJCYiH7LmGU2/XK2piFSLyHMi0i0ivSLygoicbeFTmzY5/j1VIjKY8Jr6A4ue1rTK4e/puaPeo/z6Gl9r4dPLH0opfuTZB4ASALcDaIEWoF8JYED/dzW0rkPvBuAGcCeAFxO+9g4AWwBUAFgO4CSAy/T7XAA+CeAcACcAXDDdz7UA1rRcfwwBYAfwDwB2TPfzzfM1bQGgADim+zkWypqm+D4fArAf+r7sQv7I4e/p+QA6AKzQX1u/A+Dp6X6+ebCmFwO4HsCXATyV4rE/BmAzgK0APjTdzzXf11T//KX6YwqAqwH0zIbX1xz/nioAi6b7ORbSmo76Phfoj1sy3c95Jn5M+wHww6QfJLADwLUAbgbwfMLtJQCGASzT/30MwKUJ938VwC9TPN5RzKLgzqI1degnJkPT/dzyeU0xi4O7XK1pisd8EsBXpvu55fOaAvg3AHcl3Neo/94unO7nN5PXNOH2mzKd4AF4FrMouLNoTW0ArtJ/T2un+/nl85pilgZ3uVzTUZ/zIwA/mu7nNlM/WJZZAESkDsASADuhXSXebtynlBqEdgV+hYhUQDvB2J4z+vGlAAAG60lEQVTw5dv1r6EEZq+piPQCCAD4NoBv5PTgZ6gc/J62ichREfmRiFTn9OBnqFz87etlMucBuC93Rz5zmbimon8g4d8AsDI3Rz5zZbum03N0+cnsNRWRHdDeo/4A4AdKqQ5TDzgP5OD39Bm9XPsBEWkx8VDzRi7+9kWkGMB1AH5s3pEWFgZ3eU5EnAB+BuDHSqndAEoxdhhkHwCvfh9G3W/cR7pcrKlSqhxAGYBbAbyWg8Oe0Uxe0y4AGwHMA7Bev/1nuTnymSuHf/t/A2CLUuqguUc885m8pn8CcL2IrBYRD7RSIwWgOEeHPyNNcE0pC7lYU6XUagA+AO+DlhWdVXKwpudDqzJZBuA4gIdExGHO0eaHHP7tXwvtPODpKR9kgWJwl8dExAbgJwBC0IIGAPBDe4FO5INWm+xP+Pfo+wi5XVP9KtV3AdwnIrUmHvaMZvaaKqX8SqmtSqmIUqpdf8xLRWT04xWsHP/t/w1m4RXRHPyePg7gKwB+C6ANwCH9vqPmH/3MNIk1pXHkck2VUgGl1C8AfE5E1kz1WPNFLtZUKfWMUiqklOoF8AkA86Hty50Vcvy3/0EA9ym9PpPGYnCXp0REAPwQQB2Aa5VSYf2unQDWJHxeCYCFAHYqpU5Ba5SS+KK9Rv+aWc+iNbVBu3LfZO7Rz0wWranxAi9p7i8ouVxTvUteI4Df5OwJzEC5WlOl1F1KqcVKqVpoQZ4DwBu5fC4zxWTW1PKDzDMWrqkTwIIpHGresHBNFfgeNeU1FZG50JqpzMptA9licJe/vgPtKtBVSqnhhNt/B2CliFwrIm5opUA79JQ4oP1BfFFEKkRkGYC/BXCv8cV6G1u3/k+XiLj1P9TZwPQ1FZFLRGStiNj1zNI3AZwCsMuapzTtcrGmp4vIUhGxiUgVgP+Ctvl6dLlHocrJ377ugwB+q5SabVmUXPyeukVkpWiaAdwN4Ft6UDgbTGpN9ddKN7RA2Kavo9P4YtFG9rihnSg79ftny7mM6WsqImeIyDn6unpE5LPQTspfsvKJTaNcrOkKETlN/5xSAP8OrfkS3/en8Lev+wC0piz7c/808th0d3Thx8Q/oO01UtA2P/sTPm7U778YwG5oXYieAtCS8LVFAO4B0A+gHcBtox77kP7YiR8tVj23QltTaC1/d+uP1QltH87q6X6+eb6m7wVwEMAgtMzJfQDqp/v55vOa6ve7AfQC2Dzdz7MQ1hTaGJQd+u/pSWhjE+zT/XzzYE0/hLHvQfcm3P9UivsvmO7nnK9rCm1v2HZopXE90PYxnTfdzzfP1/QiAHv0v/0OAL8HsHi6n28+r2nC5+wG8JHpfp4z/UP0xSIiIiIiIqI8NltKGYiIiIiIiAoagzsiIiIiIqICwOCOiIiIiIioADC4IyIiIiIiKgAM7oiIiIiIiAoAgzsiIiIiIqICwOCOiIiIiIioADC4IyKigiYi94qI0j/CItIhIk+KyMdExDmBx7lAf4zqXB4vERHRZDG4IyKi2eAxAA0AWgBcCuBBAP8MYIuIlEzjcREREZmGwR0REc0GQaXUSaXUMaXUNqXUNwFcAGAdgM8AgIi8X0ReFpEBPbv3axFp0u9rAfCk/lidegbvXv0+EZHPiMh+ERkWkddF5P0WPz8iIiIGd0RENDsppd4A8AiAa/WbXAC+AmANgCsBVAP4hX7fkYTPWwEtC/gJ/d9fA/ARAB8D0ArgDgDfE5ErcvwUiIiIkjim+wCIiIim0ZsALgYApdQ9CbcfEJG/B7BLROYopY6KSI9+X4dSqgsA9JLO2wBcqpTaot9/UEQ2QQv2/mjJsyAiIgKDOyIimt0EgAIAEVkHLXN3GoBK/T4AaAZwNM3XtwJwA3hERFTC7U4Ah3JwvERERGkxuCMiotmsFVqWrgTAn6E1XvkAgA5oZZlboJVrpmNsb7gKwOFR94XNPVQiIqLMGNwREdGsJCIrAVwGbc/cMmjB3BeUUgf1+68Z9SUh/b/2hNveBBAEME8p9URuj5iIiCgzBndERDQbFIlIPbRMWw2AzQC+AOAVAP8GoBhakHariNwFYDmAr456jDZoJZxXiMiDAIaVUgMi8m8A/k1EBMAzAEoBnAEgppS6O/dPjYiISMNumURENBtcDOAEtNLJxwG8A9qcu/OUUoNKqU4AHwRwNbRs3FegNUqJU0od02//OoB2AP+t3/UlALcD+DSAnQD+Aq2z5sGcPiMiIqJRRCk1/mcRERERERHRjMbMHRERERERUQFgcEdERERERFQAGNwREREREREVAAZ3REREREREBYDBHRERERERUQFgcEdERERERFQAGNwREREREREVAAZ3REREREREBYDBHRERERERUQH4/wHCG2ZDfcpO0AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y1_d.plot(figsize=(15, 6))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<strong>In order to determine p, we need to first understand what an ACF plot is. Autocorrelation Function plot or ACF plot shows how correlated the variable is with its previous time-steps. For example, while predicting stock prices, the ACF plot tries to show how correlated the stock prices of March are to the stock prices of February, how likely are the stock prices in March to follow the behavior of stock prices in February. To better understand this, let's plot it.</strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(y1_d,lags=10)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<small>We can see that the auto-correlation is strong for the first 2 lags and then it decays and oscillates in the blue region.</small>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<em>Inferring from this, we can see that the first 1–2 lags show high correlation and values keep decreasing in the blue region.</em><br>\n",
    "<strong>Thus, we can say that the value of p will lie in the range spanning from 1 to 2.</strong>\n",
    "<hr>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<strong>Let's try determining q now. The process of determining q is very similar to the process of determining p. Instead of using ACF, we'll now use a PACF, or a Partial Autocorrelation Function. A PACF plot shows how correlated a variable is with itself at a previous time-step, ignoring all linear dependencies it has on time-steps that lie between the time-step against which correlation is to be found and the current time-step. Also called a conditional correlation fucntion, PACF aims to find the correlation between two time-steps independent of all other time-steps in between. Let's understand this better with a plot.</strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pacf(y1_d,lags=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<em>From the plot we can see that the plot cuts off to zero at the second lag so we can estimate that the value of q will be lesser than 2.</em><br>\n",
    "<strong>Thus, we can say that the value q shall lie in the range spanning from 0 to 1.</strong>\n",
    "<hr>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### You've finally learnt the necessary building blocks required to create an ARIMA model in order to perform time-series forecasting! Let's jump right into it!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We divide our time-frame into a training and a testing set so that we can later gauge how well our model is performing. Training data is 70% of the original time-series data and testing data is 30% of the original time-series data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "size = int(len(y1) * 0.7)\n",
    "train, test = y1[0:size], y1[size:len(y1)]\n",
    "series = [y1 for y1 in train]\n",
    "predictions = []"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Alright, now let's start training the model! Let's try using values of (p,d,q) equal to (2,1,1) and see how the model performs!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test error is 3.273019781729989\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1d39598f668>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for y in range(len(test)):\n",
    "    arima_model = ARIMA(series, order=(2,1,1))\n",
    "    model_fit = arima_model.fit(disp=0)\n",
    "    preds = model_fit.forecast()\n",
    "    pred = preds[0]\n",
    "    predictions.append(pred)\n",
    "    actual_val = test[y]\n",
    "    series.append(actual_val)\n",
    "error = mean_squared_error(test, predictions)\n",
    "print('Test error is {}'.format(error))\n",
    "plt.plot(predictions,'r')\n",
    "plt.plot(np.array(test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<em>We can see that the model has learnt the nature and behavior of the time-series, and is performing pretty well on the test set!</em>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Let's try out new values of (p,d,q). Let's try out (1,1,1) this time and see if we obtain better results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "size = int(len(y1) * 0.7)\n",
    "train, test = y1[0:size], y1[size:len(y1)]\n",
    "series = [y1 for y1 in train]\n",
    "predictions = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test error is 2.355571525013936\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1d3959f32b0>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Dgw+Gdu2gVKn8blVxiCtQCILgCKAfcBrwDVBr++PVgWHAP4F3gbuAt4HOedGsJEmSJKnwmbp4HY98/BOfzV5FtXIluTljNn2e7Uvpd4bBkcOiYw0qdOL9p3YHcGcYhhO2f7wEIAiCi4DpYRgO3v7x7UBqEATNwjCctbublSRJkiQVHjOWbuCRj39izMwVVC6bwvVHN+PsMmspd8C1cMkl0TWPKrRyDRSCIEgG2gMjgyCYC5QG3gGuBVoAP/xaG4bh5iAIft7+uIGCJEmSJBVDP63YyGNjfuK9acupULoEVx2xD+d1bUCFlCTocgbUqAH33JPfbWoXxbNDoSaQApwCHARkACOAm4HywKo/1a8HKvz5i2zfzXARQL169f5+x5IkSZKkAmneqk08/skcRv6wlHIlS3DZP/bmgoMaUalMSlTw7LPR9Y/9+3tTQxEQT6Cwdfv7J8MwXAYQBMEjRIHCF0DFP9VXBDb++YuEYfg88DxA+/btw7/bsCRJkiSpYFm4eguPfzKH4VMWU6pEMpcc3JiLDmpElXIlfytasQJuvBH+8Q8488z8a1a7Ta6BQhiGa4MgWAzsKASYDpzz6wdBEJQDGm9/XJIkSZJUxN33/kxeGjef5KSA87s25JJDGlO9/A5uabjmGti6FZ55BoIg8Y1qt4t3KOMrwH+DIPiA6MjDFcAoYDjwYBAEJwOjgVuBqQ5klCRJkqSi7/OfVvG/z+fRo01tbjimGTUrlt5x4dix0TGHm2+Gpk0T26TyTLyBwl1AdeAnIA0YBNwThmHa9jDhKaA/MBE4PS8alSRJkiQVHJlZMe4eNYP61cpy/8mtKFUieceF27bBv/4FjRpB376JbVJ5Kq5AIQzDDOBf29/+/LkxQLPd3JckSZIkqQB785uFzFm5ief6tMs+TAB46CGYNQveew/KlElcg8pzSfndgCRJkiSpcFm/NYNHPv6Jzo2qclSLmtkXzp8Pd90FJ58MxxyTuAaVEAYKkiRJkqSd8uQnc1i3NYNbujcnyG7AYhjCf/8LJUrAY48ltkElRLwzFCRJkiRJYn7qZl77+hd6tatLi70qZV/4zjswejQ8/DDUqZOw/pQ47lCQJEmSJMXt3vdmUjI5iauP2if7ok2b4LLLoHXr6L2KJHcoSJIkSZLi8tXcVD6esYJrj2rKHhWyuSIS4PbbYfFiGDQoOvKgIskdCpIkSZKkXGXFQu4cNYPalctwwYENsy+cOjWamXDhhdClS+IaVMIZKEiSJEmScjV40iJmLd/Ijcc2o3RKNtdExmJw6aVQpQrcf39iG1TCufdEkiRJkpSjjWkZPPTRT7SvX4XjWtXKvvCVV+Crr6L3VasmrkHlC3coSJIkSZJy9MxnP5O6KT3nayJTU+G66+Cgg+CccxLboPKFgYIkSZIkKVuL1mzhpfHz6dmmNq3rVs6+8PrrYcMGePZZyC50UJFioCBJkiRJytb9788iOQi49uim2ReNHw8vvwxXXw0tWiSuOeUrAwVJkiRJ0g59+8saRk9bxsUHN6JWpTI7LsrIiAYx1q8Pt9yS2AaVrxzKKEmSJEn6i1gs5M53Z1CrUmku7tY4+8LHHoMff4QRI6BcucQ1qHznDgVJkiRJ0l8Mn7KEaUvWc93RTSlTMptrIrduhbvvhu7d4YQTEtug8p2BgiRJkiTpD7Zsy+SBD2fRum5lTmxdO/vCUaOiQYxXXJG45lRgGChIkiRJkv7guc/nsWJDOrd235ekpBxubBg4EGrVgkMOSVhvKjgMFCRJkiRJ/2/puq08/8XPdN+vFu3qV82+cO1aeO89OP10SM7mSISKNAMFSZIkSdL/e+CDWcRCuOGYZjkXDhkC27ZB796JaUwFjoGCJEmSJAmAKQvX8s73S7nwoIbUqVI25+KBA2GffaBt28Q0pwLHQEGSJEmSRBiG3DlqBjUqlOLSQ/bOuXjxYvj882h3QpDDjAUVaQYKkiRJkiRG/rCUKQvXce2RTSlfqkTOxW+9BWEIZ56ZmOZUIBkoSJIkSVIxl5EV44EPZtNir4qc3K5O7gsGDICOHWHvXHYyqEgzUJAkSZKkYu6TmStYsm4rlx/WhOScrokEmDEDvv/eYYwyUJAkSZKk4q7/hIXsVak0h+1bM/figQMhKQl69cr7xlSgGShIkiRJUjE2P3Uz4+emckbHernvTgjDKFA4/HDYc8/ENKgCy0BBkiRJkoqxARMWUCIp4LSOdXMvnjAB5s93GKMAAwVJkiRJKrbSMrIYPHkxR7XYkz0qlM59wYABULo09OiR982pwDNQkCRJkqRiatTUZazfmkHvzvVyL87IgEGD4PjjoWLFvG9OBZ6BgiRJkiQVU/0nLKBxjXJ0aVQt9+IxY2DVKm930P8zUJAkSZKkYujHJev5ftE6eneqTxDkMowRomGMVarAMcfkfXMqFAwUJEmSJKkYGjBxAaVTkji5XZ3cizdvhuHD4ZRToGTJvG9OhYKBgiRJkiQVMxvSMnhnylJOaL0Xlcqk5L7g3XejUMHjDvodAwVJkiRJKmaGf7eErRlZ9OlcP74FAwZAnTpw0EF525gKFQMFSZIkSSpGwjCk/4QF7FenEvvVqZz7gtRU+OADOOMMSPIlpH7jT4MkSZIkFSPfzF/DnJWb6NMpzt0JQ4ZAZiaceWbeNqZCx0BBkiRJkoqR/hMXUrF0CY5vvVd8CwYMgObNoXXrvG1MhY6BgiRJkiQVE6mb0vngx2Wc3K4OZUom575gwQIYPz7anRDP1ZIqVgwUJEmSJKmYGDRpERlZIb3jPe7w5pvRe487aAcMFCRJkiSpGMiKhQycuJAujaqx9x7l41s0cCAccAA0bJi3zalQMlCQJEmSpGLgi59WsXjt1vivipw2LXpzd4KyYaAgSZIkScVA/wkLqFGhFEe2qBnfggEDIDkZevXK28ZUaBkoSJIkSVIRt3jtFj6dvZLTO9QlJTmOl4GxWDQ/4cgjoUaNvG9QhZKBgiRJkiQVcW9+s5AAOKNjvfgWfPklLFwIvXvnaV8q3AwUJEmSJKkI25YZ4+1vF/GPZjXZq3KZ+BYNHAhly8KJJ+ZtcyrUDBQkSZIkqQj7cPpyUjdto0/nOHcnbNsGgwZFYUL5OG+DULFkoCBJkiRJRVj/CQuoV7Us3ZrEOQvho49gzRpvd1CuDBQkSZIkqYias2IjE+ev4cxO9UhKCuJbNGAAVKsGRx2Vt82p0DNQkCRJkqQiasDEhZRMTuLUdnXiW7BxI4wYEV0VmZKSt82p0DNQkCRJkqQiaMu2TIZOXsyxrfakWvlS8S0aMQK2bvW4g+JioCBJkiRJRdDI75eyMT2TPp3rx79owACoXx8OOCDvGlORYaAgSZIkSUVMGIb0n7iAZntWoF39KvEtWrkSPv4YzjgDknypqNz5UyJJkiRJRcwPi9fz45IN9O5cnyCIcxjjoEGQlQW9e+dtcyoyDBQkSZIkqYjpP2EB5Uom06NN7fgWrF0LL78MrVpBy5Z525yKDAMFSZIkSSpC1m3Zxrs/LOWkNrUpX6pEzsWbNsG990LDhvD993DVVYlpUkWCgYIkSZIkFSFDJi8mPTOW8zDG9HR44glo3BhuugkOPjgKFM49N2F9qvDLJa6SJEmSJBUWKzak8frXC2hXvwr71qr414LMTHjjDbj9dli4EA45BN55B7p0SXSrKgLcoSBJkiRJhVwYhgydvJgjHvmclRvTuPywJn8siMVg8OBoPsL550PNmtGNDp9+apigv80dCpIkSZJUiC1fn0bf4dP4dNZKOjSowgOntKZh9XLRJ8MQPvggOtYwZQq0aAHDh8OJJ0K8tz9I2TBQkCRJkqRCKAxDhkxezJ2jZpCRFeO245tzTpcGJCVtDwrGjYO+fWH8+Gjo4uuvw5lnQnJy/jauIsNAQZIkSZIKmWXrt3LjsGl8NnsVHRtW5YGT96PBr7sSvv8ebrwx2plQqxY88wxccAGULJm/TavIMVCQJEmSpEIiDEMGT1rMXaNmkBkLueOEFpzVuf5vuxImToRu3aB8eXjgAfj3v6Fs2fxtWkWWgYIkSZIkFQJL123lhmHT+OKnVXRqWJUHT2lNvWq/CwtWroRTToHateGbb6B69fxrVsWCgYIkSZIkFWBhGPL2t4u4e/RMYmHInSe2oE+n3+1KgOg6yNNPh9RU+OorwwQlhIGCJEmSJBVQS9Zt5YahUxk3J5UujarR7+T9/rgr4Vc33QRjx8Krr0KbNgnvU8WTgYIkSZIkFUBvf7uQu0ZFuxLuOqklvTvW++OuhF8NHRrNS7jkEjjnnMQ3qmLLQEGSJEmSCph3f1jK9UOncUDjaFdC3arZDFacNQvOOw86doTHHktskyr2DBQkSZIkqQD5JXUzNw6bRrv6VXjt/I6kJCftuHDTJujZE0qVgiFDovdSAhkoSJIkSVIBkZ6ZxX/e/I7kpIAnzmiTfZgQhnDBBTB7Nnz8MdStm9hGJQwUJEmSJKnAuHf0TH5csoEXzm5P7cplsi989FEYNAj69YN//CNxDUq/k03cJUmSJElKpPenLeO1rxdwwYENOaJ5zewLP/8crrsOevSAa69NXIPSnxgoSJIkSVI+W7RmC9cNnUrrupW5/uhm2RcuWQK9ekHjxtEVkcEObn2QEsQjD5IkSZKUj7ZlxvjPwO8AeOqMNpQskc3vfbdti8KEzZvh00+hYsUEdin9lYGCJEmSJOWjfh/M4ofF63muT9vsr4cEuPpq+OoreOstaNEicQ1K2fDIgyRJkiTlk49nrOCl8fM5p0t9jm5ZK/vC/v3hqafgyivhtNMS16CUAwMFSZIkScoHS9Zt5ZrBP9CydkX6Hrdv9oVTp8JFF0G3btGtDlIBYaAgSZIkSQmWkRXjvwO/IysW8tQZbSlVInnHhevWQc+eULkyvP02pKQktlEpB85QkCRJkqQEe+ij2Xy3cB1PndmGBtXL7bgoFoOzz4YFC+Czz2DPPRPao5QbAwVJkiRJSqCxs1byv8/ncWanenTfb6/sC++9F959F554Arp2TVyDUpw88iBJkiRJCbJs/VauGvQ9zfaswK3dm2dfOGUK3HYbnHkm/Oc/iWtQ2gkGCpIkSZKUAJlZMS5/83vSM2M83bstpVOymZsQhnDZZVCtGjz9NARBYhuV4uSRB0mSJElKgMfGzOGbX9bw2Gn707hG+ewL33oLxo+HF16IhjFKBZQ7FCRJkiQpj42bs4qnP5tLr/Z1OKlN7ewLN2+Ga6+Ftm3hvPMS16D0N8QVKARB8FkQBGlBEGza/jb7d587MwiCBUEQbA6C4J0gCKrmXbuSJEmSVLis3JDGlW9/T5M9ynPHCS1zLr7vPliyJBrEmJzNkQipgNiZHQr/CcOw/Pa3pgBBELQA/gecBdQEtgDP7P42JUmSJKnwicVCrnj7ezanZ/H0mW0pUzKHkGDePHjoIejd21sdVCjs6gyF3sC7YRh+ARAEwS3AzCAIKoRhuHGXu5MkSZKkQuztSYv46ufV9Du5FU1qVsi5+OqroUQJ6NcvMc1Ju2hndijcFwRBahAEXwZBcMj2x1oAP/xaEIbhz8A2YJ8/Lw6C4KIgCCYFQTBp1apVu9KzJEmSJBV467Zs44EPZtGxQVV6ta+bc/HHH8M778BNN0HtHGYsSAVIvIHC9UAjoDbwPPBuEASNgfLA+j/Vrgf+Er2FYfh8GIbtwzBsX6NGjV1oWZIkSZIKvoc+ms2GtEzuOLEFQU5XP2ZkwOWXQ+PGcOWViWtQ2kVxHXkIw3Di7z58LQiCM4BjgU1AxT+VVwQ87iBJkiSp2PpxyXoGTFzIOV0asG+tP79k+pOnn4aZM2HkSChdOjENSrvB3702MgQCYDrQ+tcHgyBoBJQCftr11iRJkiSp8InFQm4d8SNVy5bkyiP+chr8j1auhNtug6OOgu7dE9OgtJvkGigEQVA5CIKjgiAoHQRBiSAIegPdgA+BAcDxQRAcFARBOeBOYJgDGSVJkiQVV8OmLOG7heu4/phmVCqTknPxTTfBli3w2GOQ07EIqQCK58hDCnA30AzIAmYBJ4VhOBsgCIJLiIKFasAY4Ly8aVWSJEmSCrYNaRnc//5M2tSrzClt6+RcPHkyvPRSNDehWbPENCg0Tob9AAAgAElEQVTtRrkGCmEYrgI65PD5gcDA3dmUJEmSJBVGj378E6s3b+OVczuSlJTDjoMwhP/+F2rUgFtvTVyD0m4U11BGSZIkSVLOZi3fwOtfL+CMjvVoVadSzsUDBsDXX0c7FCrlUisVUH93KKMkSZIkabswDLltxHQqlC7BtUc2zbl440a47jpo3x7OPTch/Ul5wR0KkiRJkrSLRv6wlInz13BPj5ZUKVcy5+J774Vly2DYMEjyd7wqvPzplSRJkqRdsCk9k3vfm0mr2pU4vUO9nIvnzoVHHoGzz4bOnRPToJRH3KEgSZIkSbvgyU/nsGJDOs/2aUdyToMYAa66CkqWhPvvT0xzUh4yUJAkSZKkv2nuyk28NG4+p7arQ9t6VXIu/uADePdd6NcPatVKTINSHvLIgyRJkiT9DWEYcvvI6ZQpmcz1xzTLuXjbNrjiCmjSBC6/PDENSnnMHQqSJEmS9Dd8OH054+emcvvxzalevlTOxU8+CbNnw6hRUCqXWqmQcIeCJEmSJO2krduyuGvUTJrtWYE+nevnXLx8OdxxBxx7LBx3XGIalBLAHQqSJEmStJOe+WwuS9ZtZdDFXSiRnMvvafv2hbQ0ePTRxDQnJYg7FCRJkiRpJ/ySupn/fT6Pk/bfi44Nq+ZcPHkyvPJKNDdhn30S06CUIAYKkiRJkrQT7hw1g5TkgBuP3TfnwjCEa6+F6tXh5psT05yUQB55kCRJkqQ4fTJzBZ/OWslNx+5LzYqlcy5+7z0YOxaeeAIqVUpMg1ICuUNBkiRJkuKQlpHFHe/OYO89ynNu1wY5F2dmwnXXwd57w8UXJ6Q/KdHcoSBJkiRJcXj+i3ksXLOFAf/sREpugxhffRVmzIDBg6FkyYT0JyWaOxQkSZIkKReL1mzh6bFzOa5VLbruXT3n4s2b4dZboUsXOPnkxDQo5QN3KEiSJElSDsIwpO/waZRICrjpuFwGMQI8/DAsWwZDhkAQ5H2DUj5xh4IkSZKkXTdlSjQrYPXq/O5ktxs+ZQnj5qRy/THN2KtymZyLly+HBx6Anj3hgAMS06CUT9yhIEmSJGnXfPstHHkkrFsH8+dHtxuUKBovNVI3pXPnqBm0rVeZPp3q577gjjsgPR3uvz/vm5PymTsUJEmSJP19EybA4YdDlSpw993w8cfQt29+d7Xb3DVqBpvTM+l38n4kJeVyfGHWLHjhBbjkEmjSJDENSvmoaMSGkiRJknaL9Mwsflq+iVZ1KuVe/OWXcMwxULMmfPop1K0LS5fCgw9C27Zw+ul533AeGjt7JSO+X8rlhzWhSc0KuS+4/nooWzYayCgVA+5QkCRJkgTAhrQMznrxG45/ajx3j5pBLBZmX/zFF3DUUVCrFnz2WRQmADz6KBx4IJx/Pnz/fUL6zgub0zO5efiP7L1Hef51aOPcF3zxBYwcCTfcADVq5H2DUgFgoCBJkiSJVRvTOf1/E/hu4VoO37cmL46fz78HfkdaRtZfi8eOjXYm1KsXhQm1a//2uZIlo9sNqlaFHj0gNTVhz2F3euij2SxZt5X7e7aiVInknItjMbjmmujv4YorEtOgVAAYKEiSJEnF3KI1Wzj1ua+Yn7qZF89pz4vntOeW7s35YPpyznhhAqs3pf9WPGYMHHccNGwYBQu1av31C9asCcOHR1cnnnYaZGYm7snsBlMWruXVr37hrM71ad+gau4LBg+OBlPefXd05EEqJgwUJEmSpGJs9vKNnPLcV6zdkkH/f3bikKZ7AHDBgQ15tnc7ZizdQI9nvmLeqk3w4Ydw/PHRwMGxY6PgIDsdOsBzz0WzFa6/PkHPZtdty4xx47Bp1KxQmuuObpr7gvR0uPFG2G8/OOusvG9QKkAMFCRJkqRiavKCtfT639eEIQy6uAvt6lf5w+ePbrknb13Umc3pmfR8/HO+veQ6aNYsCgnimRNw7rnw3//CI4/AgAF58yR2s+e/+JlZyzdy10ktqVA6JfcFzzwTXZX5wAOQnMvRCKmIMVCQJEmSiqHPf1pFnxcnUqVsCkMvPYCme+74FoM29aowvOlWqq5cTO9T7+Tdp96GatXi/0YPPwwHHwz//Cd8991u6j5vzF25iSc+mctxrWpxRPMcdl/8au1auOsuOOKIaEClVMwYKEiSJEnFzLs/LOWfr31Lg+rlGHzJAdStmsO5/+HDqdf7ZIZNH8j+9ary33fn8OxnPxOGOdwA8XspKTBoULSjoUcPWLVq9zyJ3SwWC+k7bBqlU5K47YTm8S26915Yty66JlMqhgwUJEmSpGLkjQkLuOytKbSpW4W3L+5MjQqlsi8ePBhOPRU6dKDyeyN5/eIDOL71XvT7YBY3vfMjmVmx+L7pHntEQxpXroyGNGZk7J4nsxu99e0ivvllDTcf15w9KpTOfcEvv8ATT8DZZ0Pr1nnen1QQGShIkiRJxUAYhjz5yRxueedHDmu2B69f0JGKOc0IePNNOOMM6NIlGsZYqRKlU5J5/LT9+dchjRk4cSEXvDaJTelx3uDQrh08/3w0zPHaa3fPk9pNVmxI4773ZtKlUTVObV8nvkU33wxJSdGRB6mYMlCQJEmSirhYLOTOUTN4+OOf6NmmNs/2aUfplBwGCPbvD336wIEHwvvvQ4Xf5iskJQVcd3Qz7uvZivFzU+n13Nes2JAWXyNnnQVXXAGPPw6vv76Lz2r3uXXEj2zLinFvz1YEQZD7gsmToyGTV1wBdevmfYNSAWWgIEmSJBVhGVkxrh78A698+Qvnd23IQ6e2JiU5m5cBqalw1VXRNv5DDoHRo6F8+R2WntGxHi+d054Fqzdz0tNfMmv5hvgaevBBOPRQuOgimDTp7z2p3eiDH5fx4fQVXHH4PjSsXi73BWEY7bCoXh1uuCHvG5QKMAMFSZIkqYhKy8jikjcmM3zKEq45ch9u6b4vSUk7+A38pk3R1v1GjaLdA+efD6NGQbmcX2Af0nQPBl3ShVgYcsqzXzNuThwDF0uUgLffhpo1oyGNK1f+zWe369ZvzeDWEdNpXqsi/zyoYXyL3nsvOrZx661QqVLeNigVcEHc01l3o/bt24eTCkAaKUmSJBVV67Zs46LXJ/PtgjXcdWJL+nSu/9eibdvgf/+Du++OXtj36BH9uXmctxxst2z9Vs575VtmLd9I4xrl6NyoGp0bVaNTo6rZDzicMgW6doUOHWDMmOg2iAS7cdg03v52ISP+fSCt6sQRDmRmRgMYt22D6dOhZMm8b1LKB0EQTA7DsH1udSUS0YwkSZKkxPlo+nJueudH1m3ZxpNntKH7fnv9sSArKxq6eMst0W0FhxwCI0ZA585/6/vVqlSGwZd0YeDEhXw9bzXvTFnCgIkLAWhUoxydGlajc6OqdG5UjZoVtwcMbdrAiy9C795w2WVw++3RbRDxzDDYDSbMW82b3yzkwoMaxhcmALz6KsyYAUOGGCZIuENBkiRJKjJWb0rntpHTGTV1GfvWqsiDp+xHy9q/e7EchtFchL59Ydq06EX9fffBkUfu1hfymVkxpi/dwIR5q5k4fw3fzl/Dxu23QTSsXo7OjarSqWG0g6HWnTfDI49EC0uVgnr1orf69f/657p1o5pdlJaRxbGPjyMjFuPDK7pRtmQcv2edMgWOPRYaNoQvv0xY8CHlh3h3KBgoSJIkSYVcGIa8O3UZt4+czqa0TC47bG8uPrjxH4cvjh8fDRH88kvYe+/oaMOpp0ZXH+axzKwYM5ZtYOK8NUyYt5pvflnDxrQoYKhftSwHlNrKKRmLabtiDsGCBbBwYfS2bNlfv9iee/4WNDRuHN0c0aLFTvXz0IezeWrsXN64oCMHNamRc/FPP0U7OQYNgqpVoys02+f6Oksq1AwUJEmSpGJgxYY0bhr+I2NmrqB13co8eMp+7FPzt2semTo12pEwejTUqgW33RYNXcyHmQW/yoqFzFwW7WCYMG8NX/+cyuZtWTTbswJ9OtfnpDa1KV+qBKSnw+LFvwUMvw8bFiyA+fMhIwOOPjq6neLww7PdORCLhUyYt5phU5bwzpQlnLD/XjzSa//sm1y8GO64A155BUqXhiuvhGuucRCjigUDBUmSJKkIC8OQwZMWc9foGWzLjHHtUU05r2tDkn+9xWHlyuhF9sCB0YvgG26A//4XypbN38Z3YHN6JiO+X0r/CQuYsWwD5Uom06Ntbfp0rk+zPStmv3D1anjuOXjqKVi+HFq1ip7zGWf8/9GIOSs2/n+IsGx9GuVLleC4VrXoe9y+VCqzg1AlNTU6BvL009ERkUsuiQKZmjXz6NlLBY+BgiRJklRELV67hRuHTWPcnFQ6NaxKv5P3o0H1313xuGULdOsGP/4IV1wB118PVarkX8NxCsOQKYvW0X/CAkZNXca2zBjt61fhrC71ObrlnpQqkbzjhenp0ZDJRx6BadNIbdCEkWdfzfDKTZm2YjPJSQEHNalOz7Z1OGLfmpQpuYOvs3FjtP7hh2HzZjj77GhQZP0d3I4hFXEGCpIkSVIRE4uF9J+4gH7vzwLghmP3pXfHeiQlBb8vgl69YNiw6OaG44/Pp253zdrN2xg8eREDJi5kweotVCtXklPb16V3p3rUrfrXXRZpGVmMmbGCYR99z+epWWQFSbRYOY8eFdM44bzu7NF63x1/o7Q0ePZZuPfeaHdCz55w1107fXWmVJQYKEiSJElFyPzUzVw/ZCrf/LKGbvvU4N4eLalTZQfHF26+Ge65J/pN+1VXJb7R3SwWCxk/N5X+ExYwZuYKQuDgfWrQp1N9Dmlag8kL1jJ8yhJGT13GxvRM9qxYmhPb7EXPCmk0ffVpeOONaM7CCSdEfx8HHRTNWcjMhNdei+YkLFoUzV+4917o0CG/n7KU7wwUJEmSpCIgKxby8vj5PPTRbEqVSOKW7s05pV0dgh0NH3zjjWir/j//Cc8/X+SuNly6bitvfbOQN79dxKqN6ZQqkUR6ZoyyJZM5uuWe9GxThy6Nq/02RwJgxYpoHsIzz0QzF9q3j263ePllmD0bOnaMgoTDDsu/JyYVMAYKkiRJUiEXhiHXD53KoEmLOaJ5Te4+qSU1K5becfH48dGL4q5d4YMPoGTJxDabQBlZMT6esYLPZ6+ic+OqHNViT8qWLJHzoq1bo8DlkUeiIKF58+jqzJNOKnLBi7SrDBQkSZKkQm7AxAXcNPxH/n1oY645sumOdyUAzJsHnTpFgxcnTICqVRPbaGESi8FPP0GTJpCczZBHqZiLN1DIJcaTJEmSlB++W7iW20dO55CmNbjqiBzChPXroXt3yMqCUaMME3KTlATNmuV3F1KRYKAgSZIkFTCrNqZzaf/J1KpUhsdO2/+PMwF+LzMTTjsN5syBjz6CffZJbKOSijUDBUmSJKkAyciK8e+B37F+awbDLu1I5bI5zEK48kr48EN44QU49NDENSlJGChIkiRJBcp9783im/lreOy0/Wm+V8XsC596Knq7+uroVgdJSrCk/G5AkiRJUmTE90t4+cv5nNe1ASe1qZ194YcfwuWXw/HHQ79+iWtQkn7HQEGSJEkqAGYu28D1Q6fSsUFV+h67b/aFM2ZAr17QqhUMHOhNBZLyjYGCJEmSlM/Wb8ng4jcmU6lMCk/1bkNKcjb/m75qVXSjQ9my8O67UL58YhuVpN9xhoIkSZKUj2KxkMvfnsKy9Vt566Iu7FGh9I4L09OhRw9Ytgw+/xzq1k1so5L0JwYKkiRJUj567JM5fDZ7FXef1JJ29avsuCgM4cIL4csv4e23oWPHxDYpSTvgkQdJkiQpn4yZsYInPpnDqe3q0LtTvewL77sP3ngD7rwzmp8gSQWAgYIkSZKUD+anbubKt7+nVe1K3HVSS4Ig2HHh6NFw001w5plw882JbVKScmCgIEmSJCXY5vRMLn5jEiWSA57t05bSKdnc1LBtW3Q9ZIsW8NJLkF3oIEn5wBkKkiRJUgKFYch1Q6cyd+UmXj+/E3WqlM2++H//g59/hvffh9LZDGuUpHziDgVJkiQpgV4cN5/RU5dx3dHNOLBJ9ewL16+HO+6Aww6Do45KXIOSFCcDBUmSJClBvpqbyn3vz+SYlntycbdGORf36werV8MDD3jUQVKBZKAgSZIkJcDSdVv5z5tTaFSjPA+e2jr7IYwAixfDo49Cnz7Qtm3impSknWCgIEmSJOWxMAy5cdg00jOyeK5PO8qXymWU2a23QiwGd9+dmAYl6W8wUJAkSZLy2MczVvD5T6u46sim7L1H+ZyLp06FV1+Fyy6D+vUT0p8k/R0GCpIkSVIeSsvI4q7RM2iyR3nO7hJHQHD99VC5MvTtm/fNSdIu8NpISZIkKQ/97/N5LFqzlYH/7ERKci6/zxszBj74AB5+GKpUSUyDkvQ3uUNBkiRJyiOL1mzhmc/mctx+tThg7xyuiIRoZsJ110GDBvDvfyekP0naFe5QkCRJkvLIPaNnkhQE3HTsvrkXDxwIU6bAgAFQqlTeNydJu8gdCpIkSVIe+OKnVXwwfTn/+cfe7FW5TM7FaWlw003Qrh2cfnpiGpSkXeQOBUmSVHRkZUFSEgRBfneiYm5bZozb351Og2pl+edBDXNf8NRTsHBhdLtDkr/zk1Q4+F8rSZJU+KWlwS23QJky0KkTDB4chQtSPnn1q/nMW7WZW49vTqkSyTkXr1kD99wDxx4Lhx6amAYlaTcwUJAkSYXbuHGw//5w993QvTusXQu9ekHTpvDMM7BlS353qGJmxYY0Hh8zh8Oa7cE/mtXMfcE998CGDdCvX943J0m7kYGCJEkqUFZuTOORj2Yz6NtFLF23NfvCDRvgX/+Cbt0gPR0+/BCGDYNZs2DIEKhePZqUX78+3H47rFqVsOeg4u2+92aSkRVy6/HNcy+ePz867nDeedCyZd43J0m7URCGYcK/afv27cNJkyYl/PtKkqSCKwxD3vl+CbePnMH6rRn//3ij6uU4sEl1uu5dnS6Nq1GxdAq8+y5ceiksWwaXXw533gnly//5C8L48fDgg1F9mTLRi7arroLGjRP87FRcfDN/Db3+9zX/OXRvrjmqae4LzjwT3nkH5syB2rXzvkFJikMQBJPDMGyfa52BgiRJym8rNqTRd9g0Ppm1krb1KvPAKa3JjMUYPyeVL+emMnH+GrZsyyIpgNZbV3HQ5DF0TdpAm343UbJzp9y/wYwZ8PDD0L8/ZGZCz55w7bXQsWPePzkVG5lZMbo/OZ4NWzMYc/XBlC2Zy/zzSZOgQ4fodoe7705Mk5IUBwMFSZJU4IVhyJDJi7lr1Ay2ZcW45simnNe1IclJf7ylYVtGFlNefIvxwz9j/J778sNe+xAjoGzJZDo1rErXvatzUJMa7FOzPEFONzwsWwZPPAHPPgvr18PBB0fBwjHHOFlfu+z1r3/h1hHTeaZ3W45tVSvn4jCEf/wDpk+HuXOhYsWE9ChJ8TBQkKTC5JlnoHLlaOurVEwsXbeVvsOn8dnsVXRsUJV+p+xHw+rl/lo4fz5cfDF8/DEceCC88ALr6zdmwrzV/7+DYV7qZgD2qFCKh3u15qAmNXL+5hs3wosvwqOPwqJF0Lw5DBgQDXdU/snMjK78TM7lVoQCaPWmdA596DNa1alE/ws65RxsAYweHQ0RfeqpaNaHJBUgBgqSVFh89BEcdVT05xdfhAsuyN9+pDwWhiFvf7uIe0bPJDMWcv3RTTm7SwOS/rQrgawsePzx6DrI5ORoAv7FF+9wJ8GSdVv5ck4qL4ybx/INaYz8z4E7Dif+LCMD3n4brr8eypWDKVOi90q8MIQjjogChY8/zu9udtqNw6YyeNJi3r/8IJrUrJBzcWYmtG4d/fxNnw4pKYlpUpLiFG+g4N4+ScpP69bB+efDvvtGocKFF8LAgfndlZRnFq/dwtkvf8MNw6bRonZFPryiG+d2bfjXMGHqVOjSBa6+Gg47LJqBcOml2R5LqF25DL061OXlczuQkpzEha9PYmNaxg5r/yAlBfr0iXYnzJ0L1123G56l/pbXXoNPPoExY6J/3oXID4vW8da3izj3gAa5hwkQPdcZM+C++wwTJBVqBgqSlJ8uvxyWL4/+53LYsOg899lnw/Dh+d1ZwRCGsG1bfneh3SAWC+k/YQFHPfoF3y1Yy10ntWTgPztTr1rZPxaGYTTfoF07+OUXeOstGDEC6tSJ6/vUrVqWp85sw/zUzVw16AdisTh3Yh5yCFx5ZXT86MMPd+q5aTdYsyaaZdGmTfQC+6WX8rujuMViIbeOnE61cqW4/PAmuS/YvBluvTUKzHr2zPsGJSkPGShIUn555x14/XXo2zea8l22LIwcGf35tNPg/ffzu8P8d8EF0QvJcePyu5OCZeZMOP746OenEAQui9ZsofeLE7n5nR9pU68KH1zRjbM61//rroT09OhIw7/+Fe3YmTkz+ncht7Pof3JA4+rcfNy+fDxjBY9/Mif+hffcE81SOO+86AWuEqdvX1i7Fl55BU48MQpZ09Pzu6u4DPluMT8sWseNxzSjQuk4dhs8+igsXRpdZ7qTP9uSVNAYKEjSbvT02Lm8NH4+GVmxnAtXrYpeOLVpAzff/NvjFSpEQULLltFvrsaOzduGC7IhQ6IXF2lpcPjh0XV/itx+O4waBeecAw0bRrMF1q7N767+IgxDXv/6F4567AumLVnP/T1b8cYFHalbtexfi5ctg0MPhRdeiK7QGzECqlX729/73AMacEq7Ojz+yRw+nL48vkWlS0c/Z6tWRaGGEmPiRHj+ebjssmiuwIUXwurV0c9AAbd+awb93p9Fu/pV6NGmdu4LVq6M/n3t0QO6ds37BiUpjxkoSNJuMvKHpTz44WzuGjWD454Yx8R5q3dcGIbRWfB166LfwpUs+cfPV64cDWps3Dj6LfRXX+V98wXN8uVwySXQvn10rr1rVzjrrGibcD4MEy5QfvklCluuvTYKn5o3hxtugLp1oyM08+fnd4dA9ELrojcmc+uI6XRoUJWPruzG6R3r7Xjy/cSJ0T/rH/6PvfuOr/l6Azj+uUkkhJCIPRJ779h7tFT9Wqu21qhRVKm2VnWh2lKzNqVW7T1KbbU3iQgJYiRWIiF73Ht+fxxaI7n3hiSC5/165YWbc77fc29v0vt9vs95njOwciWMHv3CVf4NBgOjW5ShfH5nBi0/zcXbYdZNrFhRB2yWL9fbLcRzmbf/CsuOXrM8MD5e/z7MnVu/7qADiO7uOriUxk3cfpF7kbH88H7pZzNunhYdrYOAUVG6doIQQrwGkhRQMBgMRQ0GQ7TBYFj82GMdDQbDVYPBEGEwGNYZDIasyb9MIYRI224/iOabdV5UyO/MzM4eRMQYaTf7MIOWn+Zu2FNpu0uXwurVMHIklC2b8AGzZdOFyfLkgaZN4cSJlH8SaYVS0KsXhIfrlP4cOWDrVl28ctQo6NBBfyB/U02erAsTfvYZvPOOroZ/6pTOaJk+HYoUgbZt9UX6S+Id+ID3p+5nt88dvv1fKf7oVoU8zhkSHjx/PtStCw4OcOgQfPBBsq0jfTpbZnX2IIO9Hb0WHud+pBVFGkF3fKheXV/oBgQk23reFCevhTBykzffrPfiWnCk+cEzZuj378SJkDmzfszGRm932rEjzQTIEuJz6wGLDl+lY1U3yuTNYn5wVBS0aKF/l82cCcWLp84ihRAihSU1Q2EacOzRPwwGQ2lgFvAhkBOIBKYn2+qEEOIVoJRi8KqzxMQbmdC2PO+UycWOQfXo16AwG88G0nD8HhYe8sdoUnrfbL9++mLlyy/NHzhXLl3x3MUFGjcGL69UeT4p4bedvnScc5jdF+5gsV3xH3/Axo36Dl7Jkvoxe3vdUvPnn/Wd44YN4fbtFF+3VaKi9LratEn5QEdoqH4d2rd/skhhhQo6+HLlin5f/f23fo/Vrq1rdRiNKbuux6w8fp2W0w8QHWdkee/qdK9dMOGshLg4HRTp3h3q1IFjx6BcuWRfT64s6Zn1YSUCQqP4bNkp/XNoiZ0dLFqk61N07y5ZMUkQbzTxzTovcjg5YGdjw7i/LyQ++OZNveWrcWP98/O4bt10YCGNFmdUSvHd+nM4pbfjy8YWggNRUbouxN9/6+fTo0fqLFIIIVKB1QEFg8HQHggFdj72cCdgo1Jqn1IqHPgGaGUwGKzolyOEEK+HJUeusffiXYa/W5JC2TMBkMHelq+alOCvAXUply8L364/R/Op+znV/2tdaGzhQutSuvPnh1279N7ut96CC2Y+nKdRG84EMn77RU5fD6Xb/GM0n3aAv8/dSjiwcPWqTtuvV0//+TiDQd85Xr1ap8ZXq/ZygyxGow5+FCsGw4bpbQizZiXpEIcvB/Peb/vpNv8oI9Z5MmPPJdafDuDE1Xvcuh/9bIeC2bN15sYXXyR8wHz59P7s69dh0iS4cUPv1S5RQt8JjrRwt/gFRMcZGbbmLF+tOouHuwubP6uDh3siSYt378Lbb8Nvv8GgQfqu7QvUS7DEwz0rI5uXYe/Fu4zbZuXPUJEiMH68vgicLvdKrLX48FXOBT7g2/dK0bNOQTaeCeTM9dCEB3/xhd4GMHXqs8UJ8+XT2Vnz5+ttEWnM2lMBHLlyj6+aFMclo33iAyMj9da1HTtg3jwdoBJCiNeIweKdIsBgMGQGjgONgI+BIkqpzgaDYT1wUCn1y2Njw4F6SqkTTx2jF9ALwM3NzePq1avJ9yyEEOIl8Q+KoOnkf6hcwIUF3aomuIdWKcWmszcZteI4d+MNtM8UzpAvWuPsaOZD6NN8fHRauL297nhQsGAyPouU4x34gFYzDlA2bxYWdK/KxjOBTNt9iWv3IimRy4n+DYvStEwu/bqZTDpocuwYnD1r/jkeP64/pEdE6D33TZq80DqNJsXO87eZd+AKgaHRrO1bE9dMDgkPVkpfZA4erNdZpYqu1j5qFHh6wqVLkCmTxXNGxRppPGkvUbEmcjg5EBsRWdQAACAASURBVBAaxf2oJ1Py09kayJUlPXmdM5A3swN5F84hr5M9eUd/Q+EcGcmdJZFtBI/Ex+t2pL/+ql9XV1f49FNd9DCdFdXorXT9XiR9lpzAK+AB/RoUZtDbxbFNbD/5qVM69fvOHb1HvnPnZFuHJV+v9WTJkWtM6VCR98vnsTxBKXj3Xdi7V69b0tTNuhMWTaNf91LBzZmF3asSEWuk/rjdFM6eiWW9qj+ZqbJzp/55//Zb+OGHhA+4bp0OiG3YoH/e04hDl4LpMv8oZfNmYUXvGom/1yMi9Lr37NHBx48+Ss1lCiHECzEYDCeUUpUtjrMyoDAZCFRK/WIwGL7nv4DCTmClUmrmY2MDgE5KqT2JHa9y5crq+PHjVjwNIYRIu4wmRZuZB/G7E862z+uav7i7coUwj2pMev9T/shTmSwZ0jH0nRJ84JHPciGvR86ehfr1ddHGffueTHlPg0IiYnlv6n7ijYoN/WuRwyk9oFOi158OZNpuPy4HRVA0RyY+bViE/+1dje3AATql/+OPLZ/g+nX9Yd3LC6ZMea6q/GHRcaw4foMFB/25di+SPFnSExQeS5MyufitQ8VnJ5w6pQMJO3ZAoUJ6W0abNvru6qFDULOmfmzoUIvn/vkvH2buvcTSntWpUVjfnQ+PiScwNIqAkChuhEb9+/eA0CgCA4K5Hasw2ejMFhsDTGxXgeYVrKgsrxTs36/vuK9fr7M/Jk1K0muVmN0+dxi4/DQmpZjYtgJvlcqZ+OClS/V/W1dXfbHo4ZEsa7BWbLyJTnMP4xlwn9V9alI6j4V976C3KZUtqzMWDhzQ2yFEggYuO8UWz1tsHVjn32ytRYev8s06L37vUplGJR++N2Ji9PYWo1EH4TIk8rszLg7c3KBq1TTT8cHzxn06zDlM7izpWdG7RuLZCeHh8L//6QDwwoXQqVPqLlQIIV6QtQEFlFJmv4AKwDnA/uG/vwcWP/z7emDwU+PDAA9zx/Tw8FBCCPGqm7rLV7kP2aTWnbphfqDRqFS9eko5OSnl76+8A++r1tMPKPchm1Sr6QfUuYD71p/02DGlMmdWqlgxpW7deqH1p6S4eKPqNOewKjp8izp59V6CY+KNJrX+dIB6e8Ie5T5kk6rfa7Za0WmQio2Lt/5EDx4o9b//KQVKDRigVLx1c/2DwtX3G7xU6W+3Kvchm1Tr6QfU5rOBKi7eqKbsuKjch2xSW71uPjbBX6kPP1TKYFAqa1alJk1SKjr62QM3a6aUi4tSoaFmz+8deF8VGrZZfbXytHXP02RSqkIFFVu6jLoWFK4OXQpSbWYeVIWHbVY7zyfxfTBwoH69/vwzafOeEm80qfHbfJT7kE2q6aR9yj8o3MzgeKW++kqft3btl/revfMgWlUfs0PV/GmnCgpL4L9hQpYv12v/4YeUXdwr7KBfkHIfskn9us3nicdj442qwbjdqtH4PSou3qgfHD1av55btlg+8NChStnaKhUQkAKrThrf22Gq4si/Va2fd6qboVGJDwwLU6pOHaVsbF7450wIIV4W4LiyECtQ+re5xYDCQCACuPXwKxyIAk4CY4Alj40tBMQCTuaOKQEFIcSrzisgVBUZvln1XXxCmUwm84MnTdK/bn///d+HjEaTWnHsmqo48m9VcOgm9f0GLxUaGWvdyffvV8rRUakyZZQKCnqBZ5Fyxmz2Vu5DNqllR69aHGuMiVV/vfuRavrxNOU+ZJOq9fNOteTwVRVtbWAhPv6/i+RmzXSQIQEmk0kd8Lureiw4pgoM3aQKD9usBiw9qU5fC3liXGy8UTWdtE9VHr1dhQbe0RfCDg5KpU+vL25CQhI8vlJKqRMn9Dq++y7x5RpN6v2p+1WlkX+rkIgY657jjh36uHPn/vvQg6hY1WzKPlXs6y3qyOVg646jlFKxsfqi3tFRKU9P6+c9Jjg8RnWee1i5D9mkvlp5WkXFmvlvFRysVOPGev19+yoVY+VzTkFnroeool9vUe1nHVKxjy5yLenYUSk7Ox3UE0+IiTOqRuP3qFo/71SRMc++F7Z63VTuQzapP49cVeryZf2z1Lq1dQf39dXvnR9/TOZVJ82NkEhVfcwO5TFqu7py10zw7MEDpWrV0kGQZctSb4FCCJHMrA0oWNzyYDAYHIHMjz30JVAA6APkAA4BzR4GGGYBdkqp9uaOKVsehBCvsph4I+//doB7kbH8PbCu+YJcFy7oCvxvvaX3AT9VeCw0MpZx2y7w59Fr2Nva0KhkDt4vn4f6xXOQPp2Zoo07d0KzZlCmjP57FitSt1PJhjOBfLb0FJ2ruzG6RSJtMR/3448wYgRq2XJ2lavHlF1+nLkeSu4s6fmkXmHaVclv/rV4ZOZMXR+gdGnYtEkXtEQXC9xwJpB5+6/gcyuMrBnt6VjVjQ9ruJMzc/oED+Xlf5fmM4/Q6sI+xq3/Ve99HjXq32Oa9cEHusbClSsJFhpccNCf7zacY1K7CrSoaMV2BdD7+E+c0EUr0/+35uDwGNrOOsSdBzEs7VXdcuu6R27ehEqVwMlJ11ZIwvvn5LUQ+i05SXBELKOal6ZdFbfEB1+5oosvXrumCxumoer2a07eYNCKM3StWYDv3y9teUJIiN764OQEJ08mnqb/Bpq59xI//+Xz5LaGxyilaDPzEFfvRbLnyFQy7tqh68JYu22rYUPw9wc/P935IZUFhcfQduYh7obHsLxXDUrlyZzwwAcPdCvXo0f19p6nO1cIIcQrJFlrKDx14O95WEPh4b87Aj8DrsAOoJtS6p65Y0hAQQjxKvvpr/PM2nuZ+V2r0KBEjsQHxsdDrVr6Q7CXF+TOnejQc4H3WXHsOps9bxIUHouTgx2NS+eieYU81Czsip1tAh+it2zRxe1cXHQtgebNdeDiJV7oPF6EcUmP6tjbWfjwf+qU3h/9wQf6Azj64uMf3yB+2+XLMf8Q7GwMODva45rRnqyJfLlmtMcloz2uxw/h/FEH7NM7cGfWfBaHZWLJxTCCY0wUd7ane2lnmhd20gEKGxsd4Hn668ABGD6ccfnrMK1mOxbUz0a9d6pZ/yKcO6cvPAcP1u0kH3PzfhRvjd9LJXcXFnavmnA7xWdeVG8dJBk5Er755plvB4ZG0WbmIaLjjKz4pAaFs1suCAnomgoNGujA1Jo1Fi/UlFIsOnyVUZu8yZUlPTM6eZgPYFy9qrt1PHigAzw1a1q3rlQ0apM3v++/wrgPytGmshXBou3bdYvDZKxB8aoLCNXv6VpFsjG3S+KfO09cDaH1jIN8/s9iBrSqnHinkoQsXQodO+raJY0aJcOqrRcWHUeHOYfxuxPOoo+rUaVAIp1L7t/XwYTjx3Vr21atUnWdQgiR3FIsoJAcJKAghHhVHb1yj3azD9G+ihs/tbJw933MGF1Nf9kyaNfOquPHG00cvBTMhjOBbPO6RVhMPNky2dOsbG7er5CHSm4uT16E7t2r2wH+9Ze+cHN01Bc8zZvrC8Xs2V/g2SZNYkUYExUTA5UrQ3CwDrhkffKDulKKw5fv8Y/vXe5FxP73Fan/DI2MS+TA4BQbSbRtOuJtbGnkd4xuJzZQ8+oZrCx/CRUqEP3TLzQ7Z090nIltn9clk0MSivF17qwv0i9fhly5/n2418Lj7PO9y98D6+Hm6mjdsXr0gD//1Hf5s2VLcMiVoAjazDyIva0NK/vUJK+zlUGlyZNh4ECLhSTDouMYsc6L9acDaVQiBxPaViCLo5kuEdev62BCSIjOoKlUybr1pLJ4o4ku849yzD+EFb1rUCG/s+VJ/fvrNocv4eI2Lfpk0Qn2XLzD9s/rkT+rmfd0eDh9e01gT54y7P26MdldrAx8gW4tmTevznZZtuzFF23taeOMdJl3lBNXQ5jTpTINiicSQA4N1Z1mTp2CFSt0oFcIIV5xElAQQohkFh4TT9PJ+zBg4K8Bdcho7gLzzBndTrBlS3236jlExxnZc+EuG84EsPP8HWLiTeR1zsD7FfLwfvk8lMjl9F9wITZWBxfWr9dfN27oO841a+rgQvPmULToc63DGvFGE13nH+PolXss712dim4ulicNGQJjx8LmzTql/znOGRoVx72IWILDYwmJjCU4IpZ74bGEhDzAIfAG7bPGUdDeqLscJPRlMj37WI4cOhhjY8OJqyF8MPMgnau5M6pFGesX5+cHJUroLRgP72Rv9brFJ4tPMLRpCT6pV9i649y6Be7uujPC9Olmh3oHPqDd7ENkz+TAik9qkC2xtpePUwo6dNCtN7dt0xkuT9l38S5DV5/l1oNovmhcnD71CpvvTBIQoIMJd+/qi+4qVSyv4yV6FAiLM5r47r3SuLs64pbVEaf0iQRMIiN1gCQiQncocLYiCPGa2n3hDt3mH+OrJsXp16CI+cFDhnBlzmLe7j2bdlXd+LGlFduhHjdwoA6eBgQkGlhLTnFGE30Wn2Cnzx0mmeumEhKig7hnzsCqVfD++ym+NiGESA0SUBBCiGQ2bM1Zlh27zoreNRJPewV9cV+lCty+rdPfE9hHn1Rh0XFs977N+tOB7PcLwmhSFM2RiffL56FN5fzkyvJYNoBS+k7Zo+DCmTP68ZIl/wsuVK2arHuRx2w5z+x9l/mldVnze+ofOXAA6tTRd99nz062daSER2nxy3pVp3qhJPy37NlTt4vz8yMsey7enrAPZ8d0bOxfm3QJbWFJyDff6BoTFy5YFRA67n+Pzr8foXD2TCztVZ3MiV0UPy48HKpVgzt3dG2Ah3UiwqLjGLPlPEuPXqdw9oyMa1OeSpYCRTdv6mDCrVu6jkT16tY8y5fu/M0HtJ11iLDo+H8fc3FMh5trRtyyOuKWNcPDPzPi5upIroue2NasqYMxixa9xJW/PNFxRhpP3IedrQ6wOtiZqXNy7pyuJfPhh3zXfBCLj1xj28C6FMmRhCwFLy+9lWjCBPj88xd/AmaYTIovV55hzakARrUow4fV3RMeeO+ezprw8oLVq3WbSCGEeE1IQEEIIZLRzvO3+XjBcT6pV5ihTUuYHzxihL4I3LBB1zZIZsHhMWzxusXG04Ec9b9H5vR2TG5fMfF6Dv7+ei0bNugshvh4yJkT+vTRF6wvGFhIchHG8HB9cWEy6WCHk9MLnT+lRcUaaTJpHwYDbB1Qlwz2VhSIBL1FoWhR6NqV797tz8LDV1nbt5Z1afWg74S7uUHt2rBundXr3XPhDj0XHqdCfmcWdq9m3XovXNBBsJIlYd8+9l198G9WQs+6hfj8rWKWC2Pevg316+vsmG3b0mTNBHMiYuK5EhTBtXuR/35df/hnQEgU8ab/Pi+lszWQzxSF2yUv3KtVoHPnhhTLmcj7OC4OgoL063Pnzn9f9+7prVBlk3inPo2YuP0ik3f6sqRHNWoVMZMxoJR+X3h6woULBGfITL1xe6hZ2JXZH1lub/6EGjX01i4vr2cK3CYXpRQ/bPTmj4P+fNm4GJ82TCSQFxysM3rOn9fbm54jy0oIIdIyCSgIIUQyuRcRS+OJ+8iWyZ71n9YyfyfuyBF9IdWlC8ybl+Jru3w3nE//PIX3zQcMaFSUAY2Kmk9HDwnR9RaWLYONG3UV8oULn+gckBRJLsII0Lev7siwZw/Urftc501tBy8F0XHOEXrWKcjXzUpZP7F/f06t20mrTuPoYm03gUdmzNCv1b59OpsjCTadDaT/0lPUK5ad2R9Wtu6/y9q1hLXvxJh+v7LU3t36rATQF8gNGujg1datSV5vWhdvNHHzfvQTwYZrQeFcO3iKSxmyYmtvzzz7i1QJvvJfwOBRAOGemTrVWbPq/76lk/C+SAP8gyJoPGkfTUrn4rcOFc0PXrhQ/z6cPVtn7QDTdvsxbtsFVvSuQdWCZrK9nvb77zqr6cCBFAtYTd7hy8QdF/m4dkFGNCuZeOHUtm11kHbdOl2MUQghXjMSUBBCiGSglKLvkpPsOH+b9f1qJ94uDPRWh/Ll/9tbnUqtHKNijXy9zpM1JwOoXzw7k9pVwNnRTCtL0HcNJ0yAL7/UnSjWr0/y1owkF2EEnQbfpAkMGgTjxyfpfC/b8LWeLDt6jVV9alp3kQ3E3Qjkve/XEeqSne2jWiS+L/9pJpOuweDiAocPP9fd2KVHrzFsjSfvlc/DpHYVsDUXaOJhrYR5+7hlSkfPbDF8/nkr69p1BgXptn5+frrzSP36SV7rK8vHhxsN3+WjZkMIyJyd6Tun0ijmpq7D8fhXzpzP/jsoSAdeHnUWKVDgZT8bqyil6Dr/GCeuhrDzi3qJtl4FdACzeHEoVAgOHvw3Gyoq1kiDX/eQK0t61vataV23E9DZTblz60BoCgRs/zhwhe83evOBRz7Gti6XeHD20faLESN0O1khhHgNWRtQQCmV6l8eHh5KCCFeBWtOXlfuQzap6bv9LA8eM0aX9duyJeUX9hSTyaQWHfJXRYZvVrV/2ak8b4RaN3H5cqUcHJQqXlypS5esPl9cvFF1mnNYFR2+RZ28es+6SffuKZU3r1KlSikVFWX1udKKB1GxqvqYHarR+D0qOi7eqjnTd/sp9yGb1LZiNZTy9rb+ZOvW6ffS8uXPuVpt5h59/mFrziqTyZTgmAdRsWrIqjPKfcgm1fDX3erEe52USp9eqZMnLZ8gOFip8uX1+B07Xmitr6yQEBXk66/em7xPFRq2Wa06ft36uWfPKuXsrFSRIkrdvJlya0xGf3kGKvchm9Tcfy5bHvzJJ0rZ2CT4Xlp+7JpyH7JJbToTmLQF9OyplKOjUvfvJ22eBWtP3lDuQzapnguOqbh4o/nBbdoo5eSk3/9CCPGaAo4rK67tk68ilxBCvGYCQ6P4dv05PNxd6FW3kPnB/v76TlWrVtC0aaqs73EGg4HO1d1Z0bsGcfGK1jMOsurEDcsT27bVlfjv3tX7k48ds+p8Y7ddYL9fEKNalLauowPAZ5/pNPAX2GLxMjmlT8eYVmXxuxPO1F1+FsdfDY5g8s6LNCniQuNAT/j+e+tP9uuvurvDC/ay712vMH3qF+bPI9cYu+3CM9/fd/EuTSbuY8Xx6/SuV4jNn9Wh0twJuop+69bm0/VDQnRBOh8fneHyprZQdHbGtYg7f/auQfVCWfli5Rnm/nPZurlly+qsjsBAnTYfGpqya31BETHx/LDRmxK5nOhSI5FChY8cPQqzZuk2mxWf3RbRulI+iud0Yuw2H2LjTdYvokcPXV9k6dIkrj5xO8/f5ouVZ6hRyJUpHSpiZ65oqpeX7ubw2WfPtLoVQog3kQQUhBAiASaT4qtVZzCaFBPalreYLs6AATqd92GLwJelopsLmz6rTSU3F75ceYYR6zyJiTean1S7tk5HzphRV+jfsMHs8A1nApm97zKdq7tZ19HBZNItDxcv1inCHh5JeEZpS4PiOWhVKS/T91zCK+B+ouOUUoxY54WdjQ0/tKmkW96tWPFfxw1zjh6F/fv1HDszrUmtNLhJcTpVc2PGnkvM3HsJ0B0chq4+y0fzjpLB3pZVfWoyrGlJvcUhRw59wXTjBnTurP/7PS00VLfK8/KCtWv1399wmRzsmNe1Ck3L5GL05vOM3eqDsmZbaY0a+jX09tZdAiIjU36xz2nKLl9u3o9mdIsy5i+6ldIX3LlywciRCQ6xtTEw9N0SXA2O5M8jV61fRJUqUK4czJ2bxNUn7Jj/PfouOUnpPJmZ06Wy5W0+o0bp35Up3GlCCCFeFRJQEEKIBCw6fJUDfsF83awk7q4ZzQ/euFFfhH/33b8t916mbJkcWPRxVXrXK8Tiw9doN+swN+9HmZ9UvDgcOqSLw7VsqQMAT1FKcfhyMINXnaFKARe+/Z+FQnImk26lVq4c9OunCzAOH/4Czyxt+PZ/pXBxtGfwqrPEGRO+s7r+dCD/+AYx+J3iuqXnF1+AszN8+63lE4wfr+tvfPxxsqzXYDAwsnkZ3iufh5//8uHHzd7PZiU8nWVSrRpMmaILeD69R/zBA303/cwZHXh4CRk5aZWDnS1TO1aiQ1U3pu+5xPC1nhhNVgQVGjeGJUt0YO+DD3Q9ljTm4u0wfv/nCm088lHZXNtcgO3bdYHa776DzInXnalfLDu1irgyeacvD6LjrFuIwaCzFI4fh9Onk/AMnnU/Ko7+f54ij3MG/uhWlUwOFgJ4587BypU6WJIM7YCFEOJ1IAEFIYR4it+dcH766zz1i2enY1ULd+AjI/WHy1Kl9B3lNMLO1oZhTUsyo1MlfG+H8b8p+znoF2R+Us6cuvNCs2Y6ADBkCGGRMWz1usmQVWep8dMu2s8+jHMGe6Z1qpR45wCldIClUiV9cRQfr9OTd++GdFYWJUzDnB3tGd2iNN43HzB737Op7SERsYzc5E2F/M50qvYwLdzZWRfA3LBBZyAkxt9fX6T37p2s7TRtbQxMaFueBsWzM+efK89mJSSkd29dnf+HH3RaPkBYmA4gnDihMy5SoC3qq87WxsCYlmX4tEERlh69Tr8lJ4mOs5AlBLrQ4KxZOojTpQsYrZiTSpRSfLPOi4wOdpbb5iqlg1D58kHXrmaHGgwGhjUtSUhkHDP3XLJ+QZ07g4PDC2cpjN7kzd3wGCa1q0DWjBYK2cJ/2QmDBr3QeYUQ4nUiAQUhhHhMnNHEoBWnSZ/OlrGty1muPj5mjL4InD49TV4sNy2bm/Wf1sbZMR2dfz/CrL2XzKZhK0dHLsxcyMyBv9L+mjMVf/ibTxafZIvXTSq5OzP2g3L8NaBOwh0dlNIXQ1WrQvPmutvFokX6rl779v9WeH8dvFMmN83K5mbyDl98b4c98b0xW87zICqOn1qVfXKrzGef6doE33yT+IEnT9avU//+yb7mdLY2zOjswYxOlRLOSniawaDf1+XKQadOunNJs2b6zvOyZdCiRbKv8XVhMBj4sklxvv1fKbaeu0W3+ccIs+YOfM+e8Msv+vXt31//TKUB604HcOTKPYa8UwLXTA7mB+/dq7fsDB6sL/otKJM3Cy0q5OH3/VcsZ1I94uKig5WLFz/3FpHdPndYeeIGvesWonx+Z8sTvL11EK1/f8lOEEKIx0jbSCGEeMyE7ReZstOX6Z0q8W7Z3OYHX7igi6q1b68LDaZh4THxDF51hi2et3indC7GtSn3bwvDiJh4DvgFsfvCXfZeuEPg/WgASthG02D/Ruo7xVJp/hTSZc+W8MGV0oUdv/1WtzgsUED//cMPk6UGQFp1NyyGxhP34u6akdV9amJrY+DgpSA6zjlCn/qFGfJOAndyx4/XmQp79+otII8LDdVbZlq00IGYtOLSJahcWWcnKKWzTdq2fdmremWsPXWDr1aepURuJ/7oVpVsli7IAYYMgbFj4euvYfTolF+kGfej4mg0fi95XTKwtk/NxFspPvLWW7q2xpUrkCGDVee4ERJJw1/38n6FPPzaprx1C9u7V7coXbhQ/65JgvtRcTSeuJcsGdKxsX9tHOysaI/aoYPe3ubvrwODQgjxmrO2beTrc7tICCFe0KlrIUzb7UerinktBxOU0tsCHB1h3LjUWeALyORgx7SOlfj63ZJsP3+b5tMOMGPPJTrNPUyFkX/Ta9EJNp4JpFw+Z35uVZZDwxqy9cfWDOnzDtW2ryZdndr6AuFpe/boQo6NG0NAgE7ZvnABunV7rYMJANmdHPjuvdKcvh7K/ANXiI4z8vVaL9yyOjKgUdGEJ/XpA7lz6+KUTwf0Z8+G8HBdbyEtKVxY7+93dtaBDgkmJEnLivmY81Fl/O6E02bmIW6EWHFH/eefdZ2AH3+ECRNSfpFmTNx+kXsRMYxuXsZyMOHQIdi5UwfNrAwmAORzcaRrrQKsPnmD8zcfWDepbl0oWhTmzLH6PI+M2uRNUHgsv7Ypb10w4fx5WL5cZydIMEEIIZ4gGQpCCAFExsbTbMp+YuNN/DWwDpnTW9i+sGyZvmM1bRr07Zs6i0wmhy4F03/pSYLCYyme04n6xbNTv3gOPNxdEq6LsG+f3sLg4ACbNum71fv36yyE3bshTx5dbLFHD6tSnF8nSil6LDjOgUtB/K9cHladuMGij6tSp2j2xCdNmwaffgp//63bLoIuwleokC6OuXNn6iw+qZTS2yDEcznuf4/ufxwjg70tiz6uRrGcFmpkGI36d8zKlTBvng7SpbKLt8N4Z9I+OlZzY3SLspYnvPuurhHi7w+ZMiXpXPcj46g7bjfl8zuzsHtV6yaNHauzOXx89M+OFXb53Kb7H8fp16AwXzWxUA/ikY4ddf0TyU4QQrxBrM1QkICCEEIAI9Z5suTINf7sUZ0ahS3sj33wAEqU0BfSR46ArRV3uNKY8Jh4wqPjdQcCa5w/ry8W7tzRNRL27NFFHIcNg169knQ38nVz6340b0/YS1hMPC0r5mViuwrmJ8TEQLFiuqXe4cP6In3xYp22vXmzfp3Fa8nn1gM++v0oMfEm5nWtgoe7hToWMTG68OXOnbpYZ8uWqbNQdLDso3lHOXM9lD1fNbBctPDECR1s/PHH5+7mMvefy4zefN5yUO6R27d18ceBA63KFLsfGUfjSXtxzmDPhv61rMtO8PHRRXcHD9aZI0II8YaQLQ9CCGGl3RfusPjwNT6uVdByMAF0K7Rbt3TBulcwmAB6C4TVwQSAkiV1OnOpUnp/9LhxcPkyDBjwRgcTAHJlSc+PrcpSPl8WRjQraXmCg4PO7jh6VGd8KKVrK5QqpdsxitdWiVyZWd2nJi6O6eg89whHLgebn+DgAGvW6CBe+/apmr2y58Jd/vENYsBbxazrgDB6tN4W06/fc5/zwxru5HPJwPC1ntZtDcmZE95/HxYssKrV5sikbnUA3dnB0THtbUUSQog0QgIKQog3WkhELINXnaVYzkx82cSKlNnTp2HKFN1Sr6qVabmvi0d31AMD9R5pR8eXvaI04/3yeVj/aW3LFfAf+egjKFJEd3zYuVO/rwYNeq06YYiE5c/qyMpPapIjnSILngAAIABJREFUswPfrPfCaLKQKZopk85cKVZMbz0y13Y0mcQZTYza7E3BbBn5sLq75Qlnz8K6dbqTSZYsz31eBztbpnasRGhkHO1mHeZasBVBhR494O5dvSXBjF0+t1l98gZ96hWmbD4r1+jjo7e39esH2a3ImBBCiDeQfHIRQryxlFJ8vc6T0MhYJrarQPp0Fu5YmUy6XoKrq24X+SaytU2T7TFfOenSwfffw5kzeqtDjhy6NaN4I2R3cuDLxsW5eDucTWcDLU/ImlXX3MiRA5o21VuQUtCSw1e5fDeCr98tmXBdlaf9+KMOfAwY8MLnrpDfmaU9qxMRG0/bWYe4fDfc/ITGjXV3lLlzEx1yPzKOoas9KZ7Tif6Nili/mNGjIX16HUAVQgiRIAkoCCHeWOtOB7DF8xafv12M0nmsuGM1f75O+x83TvdBF+JFtG+vtzncuqWLNKZPwhYU8cprVjY3JXI5MXH7ReKNJssTcueG7dt1UO8FthVYEhoZy8QdvtQuko1GJXNYnuDjowtHfvqpDnwkgzJ5s7C0Z3XijCbazT6M7+2wxAfb2kL37jrg4u+f4JAfNp0jOCKJWx0uXNAtUiU7QQghzJKAghDijRQQGsW3685R2d2F3nULW54QHKyrideurdPVhXhRtra6JWD58rqdpHij2NgYGPR2MfyDI1lzMsC6SYUL6+KAu3dDChW3nrTDl7DoOEb8ryQGa7p6jBmjg2GDBiXrOkrmzsyyXtUBaD/7sPl2kt276z/nzXvmWzu8b7PmZAB96ydhqwNIdoIQQlhJAgpCiDeOyaT4csUZTEoxoW0FbC31VgfdzSA0VBdilNZ5Irk0aaLrJ0grujfS26VyUi5fFibv9CUm3mjdpF69dJ2CsWOTfT1+d8JZdPgq7au6USJXZssTLl2CP/+ETz5Jkbv4RXM6sbxXddLZ2tBhzmG8Au4nPNDNDZo106/JggX/Pnw/Mo7haz0pkcuJ/g2LWn/iixf18+rbV28zEUIIkSgJKAgh3jjzDlzh0OVgvn2vFG6uVhQWPHwY5szRrcnKWtGLXQghrGAwGPiicXECQqNYcey6dZMyZ9YZLatXg59fsq5nzJbzOKazZdDbxayb8NNPYGcHX32VrOt4XKHsmVjRuwYZ7e3oOOcwp66FJDxw/nyoVQu6dtXFIePi+GHjOe493OpgVS2IR0aP1h02UvB5CSHE60ICCkKIN8qFW2GM3XaBt0rmpG3l/JYnxMfrD+958+p2kUIIkYzqFs1G1QJZ+W2XH9FxVmYpfPaZvpAfPz7Z1rH34l12+dyhf6MiZLOmW8m1azoboEcPXd8hBbm5OrK8d3WcHe358PejHPO/9+ygbNlg2zb4/HP47Td2tPmENacC6NugCGXyJmGrg68vLFki2QlCCGElCSgIId4YsfEmBi4/jZODHT+3Lmvd/uDp03VK+qRJ4OSU8osUQrxRdJZCMe6ExbDo0FXrJuXODV266Lvyt2+/8BrijSZGb/LG3dWRLjULWDfpl1/09q/Bg1/4/NbI5+LIit41yOHkQJd5Rzl0KfjZQXZ2MGECofMWMSx/A0qGXOdTZzO1FxIi2QlCCJEkElAQQrwxJu24yPmbD/i5dTnr7sDdvAnffKPbkrVunfILFEK8kaoVcqVO0WzM2HuJ8Jh46yZ9+SXExsJvv73w+ZcevYbvnXCGNS1pXReEwED4/Xcd1HBze+HzWytXlvQs612dvM4Z6PbHUf7xvZvguB8cyxCSyYVfDy3Evm4dWLTIuhP4+enshD59IGfOZFy5EEK8viSgIIR4Ixzzv8fMvZdoVzk/b5ey8oPil19CdDRMnSqFGIUQKWrQ28W4FxHLHweuWDehWDFo2RKmTYMwM20VLbgfFceE7RepXigrTUpb+btx3Di9HWzYsOc+7/PK4ZSeZb2qUzBbJj5ecJzdPnee+P5279usPRVAv4ZFKb1jHVSrpjvzfP65XrM5o0eDvb1kJwghRBJIQEEI8doLj4ln0IrT5HXJwDfvlbJu0q5dusr30KFQNAnVwYUQ4jlUdHPhrZI5mLXvMvcj46ybNHiw7j4zd+5zn/e3nb6ERsXxzf9KWbcN7M4dmDULOnWCQoWe+7wvwjWTA0t7VqN4Tid6LTrOtnO3AAiNjGX4Wk9K5s5MvwZFdA2E7duhf3+9ba1JEwgKSvigfn6weLHuWJErVyo+GyGEeLVJQEEI8dobvcmbgJAoJratQCYHO/OD792DX3/978Py0KGps0ghxBvv87eLERYdz9z9l62bUK0a1KsHEybo7Q9JdPluOH8c9KetR35K57GycOGECTpza/jwJJ8vOTk72rO4RzXK5M1CvyUn2XQ2kO83nCMkIpZf25T7r6tDunQwZYquN3HgAFSuDKdOPXvAH3/UY1OpJoQQQrwuJKAghHitbfe+zbJj1+ldrzCVC2RNfODp07paed68Ot21WDFYsQIyZEi9xQoh3mil82ShWdnczNt/heDwGOsmDR4MN27AsmVJPt+YLT442NnwRRMr20QGB+stFm3bQvHiST5fcsuSIR2LPq5GJTcX+i89xbrTgXzasEjCwZGuXeGff/S2h1q1YOnS/7536ZKusyDZCUIIkWQSUBBCvJZCImIZ//cFBi47Rcncmfn8rQQ+MMfFwfLlUKcOVKyotzh8+KEOLuzdCx4eqb9wIcQb7fO3ixIVZ2TWPiuzFJo2hTJlYOxYMJmsPs8BvyB2nL9Nv4ZFyOGU3rpJkydDeDh8/bXV50lpmRzs+KN7FeoXy05ldxe91SExVarAiRP6d3vHjrpOTny8ZCcIIcQLsJD7K4QQr5bg8Bjm7r/CwoP+RMQaaVomF8PfLflf+ivArVswezbMnKk7ORQqpPu5d+sGLi4vb/FCiDdekRxOtKiYlwUH/elRuyA5Mlu42H/UuvGjj+Cvv6BZM4vnMJoUozZ5k88lA91rFbRuYffv660DLVtC2bLWzUkljvZ2zO9WFaWU5ToQOXPCzp26SOP48XD0KBw8CJ9+qttxCiGESBLJUBBCvBaCwmP4act56ozdzcy9l2hQIgfbBtZlRmcP8md1BKX0h8aOHXWbs+++gwoVYPNm8PWFQYMkmCCESBMGNCqK0aSYutvPugnt20P+/PDLL1YNX37sOj63whjWtCTp01nRJhJ0t5v792HECOvGvwRWFZUE3clh2jRdzPLIEZ2dMGRIyi5OCCFeU5KhIIR4pd0Ji2b23sssPnKV2HgT75fPw6cNi1Akh5MeEBWl98pOnaoLcWXJAv36Qd++0r1BCJEmubtmpE3l/Cw9eo1edQuRz8XR/IR06XRQ9PPP4dAhqFEj0aEPouMY//cFqhRw4d2yVtYLCA+HiRN19kOlSkl4Jmncxx/rIo0hIZKdIIQQz0kCCkKIV9LtB9HM2HOJpUevEW9SNK+Qh34NilA4e6b/Bu3aBZ07620NpUvrLQ6dOkGmTIkfWAgh0oD+DYuw+sQNftvpxy8flLM8oUcPGDlS11JYuzbRYdN2+3EvMpY//lfV+jv6M2bogoxpODvhuZUv/7JXIIQQrzQJKAghXimBoVHM3HuJZceuYzQpWlfKS9/6RSiQLeN/g+Lj4YcfdKGt4sV1b/EGDfReYyGEeAXkcc5Ax2puLDp8lU/qF6bg47/jEpIpk86++vFH8PGBEiWeGXI1OIL5+/1pVTEfZfNZ2SYyKkq30n3rLahe/TmeiRBCiNeZ1FAQQrwSboREMnytJ/XG7ebPI9doXSkve76sz9gPyj8ZTLhxAxo2hNGjoUsXOH5c/1uCCUKIV0zfBoWxt7Vh8o6L1k3o3x8cHHQAIAE/bfHB1sbA4HeS0PJxzhy4cwe++cb6OUIIId4YElAQQqR5Wzxv8taEvaw6foN2VfKz56v6/NSqnC62+LiNG3X66qlTuqf4/PmQ0cJdPSGESKNyOKWnS80CrD8TyMXbYVZMyKG71SxaBIGBT3zr0KVgtp67Rd/6hclpqXPEI1u2wPDhUK8e1K37HM9ACCHE604CCkKINEspxZSdvvRdcpLSebKw56v6jG5R9tkCZbGxuhjZ+++Du7vuM96588tZtBBCJKPedQuR0d6OidutzFL44gu97WvyZEAXrp2x5xIDl58iT5b09KxbyLrjzJwJ770HxYrBn38+5+qFEEK87qSGghAiTYqOM/LVqrNsPBNIq4p5GdOqbMLtzS5dgnbtdBChf38YN06n/AohxGvAJaM9H9cuyOSdvngF3KdMXgu1DwoXxvhBG/ZtOcyy4ofZ6XePeJOiaoGsDH23hOU2kSYTDB2qf5e++y4sXy6FbIUQQiRKAgpCiDTnzoNoei48ztmA+wx5pwSf1CuUcDXyZcugVy+wtYU1a6Bly9RfrBBCpLCP6xTkj4P+jP/7AvO7VU103I2QSFYev8HKUl0ILGjC1fc23esUo12V/E92wElMVJSuPbNyJXzyCfz2G9jJR0UhhBCJk/9LCCHSFK+A+/RYcJwH0XHM6uxB49IJ9EmPjIQBA2DuXKhZU6fjurun/mKFECIVZE6fjt71CjF26wVOXL2Hh3vWf78XZzSxw/s2y45dZ5/vXQDqFM3OiL/m89ahTdh/72dd1lZQEDRvDgcP6uyEL76QYrZCCCEskoCCECLN+MvzJp+vOI1rRgdWfVKTUnkyPzvo3Dm9xcHbG4YN0+0h06VL/cUKIUQq6lqzAPP2X2H83xf5s2d1Lt8NZ/nx66w+cYOg8FhyZ0lP/4ZFaeORTxeszX8fVs3UbXM//tj8wX199faG69dhxQpo0yZ1npQQQohXnkEpleonrVy5sjp+/Hiqn1cIkTYppZi6y4/x2y9Syc2ZWR9WJruTw9OD4Pff4bPPwMlJVzFv3PjlLFgIIV6CefuvMHKTN+XyZeHsjfvY2hhoVCIHHaq6UbdYdmxtHssoUAo8PHRGl7c32CRSh/vAAZ2ZYDDA+vU660sIIcQbz2AwnFBKVbY0TjIUhBAvVXSckcGrzrLhTCAtK+blp4SKL5pM0LWrDiI0aqTvuOVKYCuEEEK8xjpWc2PhIX/uR8Ux+J3ifOCRjxxOibSANBhg8GDo0AE2bIAWLZ4ds3y5rpng5qZbRBYpkqLrF0II8fqRDAUhxEtz50E0PRed4Mz1UL5qUpy+9QsnXHzxt990ZsKIEfD997oIoxBCvIFMJoXBQMK/K58WH6/bPubMqWsjPJqjFIwdq7s51K4N69aBq2vKLlwIIcQrxdoMhUTy34QQImV5Bdyn+bQDXLwVxszOHvRrUCThD8h+fjBkCDRtCiNHSjBBCPFGs7ExWBdMAN2h4Ysv4PBh2L9fPxYfD3366GBC+/awfbsEE4QQQjw3CSgIIVLdVq+btJl5CAOwqk8N3imTyPYFkwm6dwd7e5gzRyqOCyFEUnXrBtmywS+/QFgYvPcezJqli9ouWQLpE9kyIYQQQlhBaigIIVLVtN1+jNt2gQr5nZn9kUfi+39Bb3X45x+YPx/y5k29RQohxOvC0RH694fvvoOqVXVHh9mzoWfPl70yIYQQrwGpoSCESDWrT9zgi5VneL98HsZ+UO7Z4ouP8/WF8uWhYUPYuFGyE4QQ4nkFB+vCizY2sGoVNGnyslckhBAijZMuD0KINMXvThgj1nlRrWBWJrQtj52tmR1Xj291mDVLgglCCPEiXF1hzx5wcZFODkIIIZKVBBSEECkuKtZIvyWncLS3ZUqHiuaDCQBTpugCYgsWyFYHIYRIDlWqvOwVCCGEeA1JQEEIkeJ+2HiOC7fDWNC9KjkzWygAdvGiLhb2v//Bhx+mzgKFEEIIIYQQSSZdHoQQKWrdqQCWHbtOvwaFqVcsu/nBRqOuSJ4+vWx1EEIIIYQQIo2TDAUhRIq5dDec4Ws9qVogK5+/VczyhMmT4eBBWLgQ8uRJ+QUKIYQQQgghnptkKAghUkR0nJF+S07iYGfD5A4VLNdNuHABvv5a90jv3Dl1FimEEEIIIYR4bpKhIIRIET9s9MbnVhjzu1Uhd5YM5gc/2uqQIYNsdRBCCCGEEOIVIQEFIUSy23AmkKVHr/FJvcI0KJ7D8oSJE+HQIVi8GHLnTvkFCiGEEEIIIV6YbHkQQiSrK0ERDFt9Fg93F75obEXdBB8fGDECmjeHjh1TfoFCCCGEEEKIZCEBBSFEsomOM9J3yUnS2dnwW4eKpLNUN+HRVoeMGWHmTNnqIIQQQgghxCtEtjwIIZLN6M3enL/5gHldK5PH2ULdBIAJE+DwYfjzT8iVK+UXKIQQQgghhEg2kqEghEgWm84GsvjwNXrVLUTDEjktTzh/Hr75Blq2hPbtU36BQgghhBBCiGQlAQUhxAvzD4pg6GpPKro581WT4pYnxMdD166QKRPMmCFbHYQQQgghhHgFyZYHIcQLiYk38unSk9jaGJjasZLlugkA48fD0aOwdCnktCKbQQghhBBCCJHmSEBBCPFCxmw+j1fAA+Z8VJm81tRN8PaGb7+FVq2gXbuUX6AQQgghhBAiRciWByHEc9vieZMFh67So3ZB3i5lRabBrVvw0UeQObNsdRBCCCGEEOIVJwEFIcRzuRYcyZBVZymf35nB75QwP9hkglmzoEQJ8PSEuXMhR47UWagQQgghhBAiRUhAQQiRZLcfRNP3zxMYDDC1Q0Xs7cz8KvH0hNq14ZNPwMND/7t589RbrBBCCCGEECJFSA0FIYTV4o0mFh66yoTtF4k1mpjesRL5szomPDgyEkaNgl9/BWdnWLgQOneWbQ5CCCGEEEK8JiSgIISwyslrIYxY64X3zQfUK5adkc1L4+6aMeHBW7dC375w5Qp07w5jx4Kra+ouWAghhBBCCJGiJKAghDArNDKWX7b6sPTodXJlTs+MTpV4p0wuDAllGty6BQMHwvLlul7Cnj1Qr16qr1kIIYQQQgiR8iSgIIRIkMmkWHXyBj//5cP9qDh61inIgLeKkckhgV8bJhPMng1Dh0J0NIwcCYMHg4ND6i9cCCGEEEIIkSokoCCEeMaFW2GMWOfJMf8QPNxdGN2iDCVzZ054sKcn9O4Nhw5Bw4a6HWSxYqm7YCGEEEIIIUSqk4CCEOJfETHxTN7py+/7r5A5vR1jW5fjA4982NgksL0hMlJnIowfL0UXhRBCCCGEeANJQEEIgVKKbedu8cNGb27ej6Z9lfwMeacELhntE57wzz/QpYsUXRRCCCGEEOINJgEFId5w14Ij+W6DF7sv3KVELiemdqyIh3vWhAfHxsL338PPP0OhQlJ0UQghhBBCiDeYBBSEeENFxMQzc+8lZu+7jJ2NgRHNStK1ZgHsbG0SnnD+vN7ScPIk9OgBEydCpkypu2ghhBBCCCFEmiEBBSHeMCaTYt3pAH7Z6sPtBzG8Xz4Pw98tSa4s6ROeoBRMnw5ffqkDCGvXQosWqbtoIYQQQgghRJojAQUh3iAnr4UwcqM3p6+HUj5fFqZ38sDD3SXxCTdv6hoJW7dC06Ywbx7kypV6CxZCCCGEEEKkWRJQEOINcPN+FL/85cO604HkcHJgfJvytKyYN+HuDY+sXQs9e+puDtOmQZ8+0sFBCCGEEEII8S8JKAjxOoiIgEmToEgRqF8fcuYEICrWyOx9l5m59xJGpejXoDB96xcho4OZH/2wMBg4UGcjeHjA4sVQokTqPA8hhBBCCCHEK0MCCkK86oxG6NgRNmz49yFVsiQb3+7Iz1nKExhrQ7OyuRnatAT5szqaP9bBg/Dhh+DvD19/Dd9+C/aJtI4UQgghhBBCvNEkoCDeDLduwYIF0Lq1vov/Ohk8WAcTJk2CGjU4u/0QI285cjxDHkpf82PizjlUczbAkQY6e6FePXB1ffIYcXEwahT8+CO4u8O+fVCr1kt5OkIIIYQQQohXg1UBBYPBsBhoBGQEbgFjlVJzH36vETANcAOOAF2VUldTZrlCPKdBg2DpUhg6VBcX/PRTeOcdsEmkReJLEhAaxW87fTGaFBkd7MjkYPfwT1sy/vt3OxztbfX3Vi4j47RZZOz/Gfe69WbstgusDi+Ca057fnmrCB+YXLAtHgm7d8Pvv8Nvv+k6COXK6eBCgwaQNy/07QvHjkHXrjB5MmTO/LJfCiGEEEIIIUQaZ1BKWR5kMJQG/JRSMQaDoQSwB2gGXAUuAT2AjcAooI5Sqrq541WuXFkdP378BZcuhJXOnIEKFXRRwZw5YeZMnbFQuLC+kO7WDVzMdDpIJVeCIug89wjBETE4Z7AnIiaeiNh4TJZ/RAEdJ7CzMdC9VkE+bVgEp/TpnhwQG6uDBrt366+DByE6Wn8va1aYNQs++CB5n5QQQgghhBDilWMwGE4opSpbHGdNQOGpAxdHBxQGAM7ojISaD7+XEQgCKiqlfBI7hgQURKp67z3Yvx8uX9aBg9hY3cFg6lT9eIYM0LmzzlooV+6lLPHCrTA6/34Eo0mxsHtVyuTNAoBSiqg4IxExRiJi4gmPideBhouXiBg+gog8boQP/III7DCaTLSqlI8C2TJad9KYGDhyBM6ehZYtdaaCEEIIIYQQ4o2X7AEFg8EwHegKZABOAXWBHwF7pVSfx8Z5Ad8ppVY/Nb8X0AvAzc3N4+pV2RUhUsHBg7oWwJgxMGzYs98/fVq3RFyyBKKioE4dHVho2RLSpXt2fArwvHGfD+cdwd7WhiU9qlE0p5P5CbduQbVquu7BkSOQP3+qrFMIIYQQQgjxZrA2oGD1BnKlVF/ACagDrAFigEzA/aeG3n847un5s5VSlZVSlbNnz27taYV4gtGkuHQ3nBshkYRGxhIbb0p8sFIwfLje5vDZZwmPqVAB5syBGzfg11/1n+3aQYECMHKkvnhPQcf879FxzmEy2tux8pMaloMJkZHQvDkEBcHGjRJMEEIIIYQQQrw0Sd7yAGAwGGYC3kBhIN3DYMOj73kC3z+dofA42fIgntfE7ReZvNP3icfS2RpwtLcjo70tjg4P/7S3I+ODezju203GKpXIWLE8OTI78IFHfrJmNNMG0WiErVv1doitW3WWQps2MHo0FCyYrM9lv28QPRceJ3eW9CzuUY08zhnMTzCZdLBj9WpYswZatEjW9QghhBBCCCEEWJ+h8LxtI+3QwYRzQJfHTprxsceFSFaBoVHM2neJ+sWz826Z3ETExhMZq2sLRMYaCY+JJzI2nogYI5Gx8QReCSQyfykiDNmIPHqNiFgjk3b40qVmAXrWKZRwYMHWFpo1018XL8KMGTqDYc0a+Ppr+OorcHB44eey3fs2/ZacpFD2jCz6uBrZnaw45tdfw6pVOpNCgglCCCGEEEKIl8xihoLBYMgBNAQ2AVHAW+gtDx2Bg4Af0B3YDPwA1JMuDyIlDFp+mk2eN9n1RT3yuTiaH7x6te5Y8Mcf0EXHvHxvhzFllx+bzgbimM6WLjUL0COxwMLjrl/XbSdXrYKiRXX2QuPGz/08NpwJ5PPlpymTNwsLulXB2dHC+QHmzYOPP4bevXWQw2B47vMLIYQQQgghhDnJVpTRYDBkB1YB5dE1F64CU5RScx5+/y1gKuAOHEF3ffA3d0wJKIikOnsjlPenHqBv/cIMfqeE+cFGI5Qpoy+6PT111sFjnjuwsG0b9O8Pvr46WDFxIuTLl6TnsfzYNYau8aRKgazM61qFTA5WJAnt2gVNmkCDBrB5c6oVixRCCCGEEEK8mVKsbWRykICCSAqlFO1mHeZyUDi7v6yPU3oLF9QLFkDXrjqjoHXrRIclFFjoWacQLuYCCzExMG4c/PijDlR89x0MHGjVRf68/VcYucmbesWyM7OzBxnsbS3OwccHatSAPHl0x4osWSzPEUIIIYQQQogXIAEF8drY6nWTTxafZEzLsnSs5mZ+cEwMFC8O2bLBsWNWbQ14OrDQtVYBetS2EFi4cgUGDNCdFkqVgunToV69RIdP2+3HuG0XaFI6J1M6VMTBzopgwt27UL06hIfr9pAFClieI4QQQgghhBAvKNnbRgrxMsTEG/npLx+K53SibWUrthfMmQNXr8KYMVbXGSia04nfOlTk74F1aVgyJ9P3XKL2L7sYt82HkIjYhCcVLAgbNuivyEioXx86d36mzaRSil+2+jBu2wVaVszLtI6VrAsmREfrwouBgbB+vQQThBBCCCGEEGmOZCiING3uP5cZvfk8C7tXpW6x7OYHR0RA4cJQsqSuO/CchQsv3g5jyk5fNnvexDGdLR2qulEkRyZcMzngmske14z2uGZyIKO9LQaDQQcUfvoJxo6F9Olh1Cjo2xeTjS0/bDzHgkNX6VjNjdHNy2BjY8WalIJOnWDpUlixQretFEIIIYQQQohUktJtI4VIcfciYpm805f6xbNbDiYATJkCt2/D2rUv1AWhWE4npnasxGcPAwu/H7hCQnE3ezsbsj0MLmQt+B6u0xrjemAPrkv24brtNIeatGVNoJGe5bMxvFJmDAE3/pv8aH2Pr/PR36dP18GEMWMkmCCEEEIIIYRIsyRDQaRZ3633YvGRa2wdUIeiOZ3MDw4JgUKFoE4dvQ0hGUXHGQmOiOVeeCxBETEEh8dy7+GfQY/+HhH78N8xxMSb/p07YP+fDDzwJ0kOb3TtqltFSntIIYQQQoj/t3fn0VWV5x7Hvw+DgMyzAooiIFQFVFqHglpt60ip0knFW+tQr4jUqlVruazS4myvrYpW6ohWvb0OOBSrdQDEWhUElBnhigyGGSUMAZL3/rGjMgRyjiUklO9nrbOS7LN3zgN5Vs7J77yDpJ3MEQrapX2wuJBH3vqIM7+2T/lhAmQ7L3zyCQwZssNrqV2zOq0b1aF1ozrlnptSYs36YpYvXkHJ31+mbccT4LwT2GyIw2efl3UMoEEDOOMMwwRJkiRJVZqBgqqkG0ZOY8+a1fn5NzuWf3JBAfzhD3DmmdClS8UXtx0RQd1aNai7T3M478xKrUWSJEmSKpK7PKjKGTtrKa9MX0z/49vAWsVCAAARJElEQVTTtF6t8i+47rpsu8jBgyu+OEmSJEkSYKCgKqa4JDHkr1PZp0kdfnz0fuVf8OGHcM89cP750L59RZcnSZIkSSploKAq5Ynx85hesIprTupM7ZrVy79g8GCoVg0GDar44iRJkiRJnzNQUJVRWLSRW1+ayeFtG3PKIXuVf8HUqTB8OPTvD61bV3yBkiRJkqTPGSioyrhn9GyWrCpi4KmdiVx2OBg0COrWhWuuqfjiJEmSJEmbMVBQlbBw5VqGjZlD726tOHTfxuVfMG4cPPkkXHEFNGtW8QVKkiRJkjZjoKAq4ea/TQfgqpM65XbBr36VBQmXX16BVUmSJEmStsVAQZVu4ryVjJi4kAt67k/rRnXKv2DUKHjpJfjlL6F+/QqvT5IkSZK0NQMFVaqUEkOen0qzerW4+Lgctn1MCa69Ftq0gX79Kr5ASZIkSVKZalR2AbuMG2+EevXgkksglwUDlZMXJhcwbu4KbjzjEOrVyqEdn30W3nwThg2D2rUrvkBJkiRJUpkcoZCLkpLsj9hLL4VTToGCgsqu6N9C0cZibnhhGp32qs/3u+9T/gWFhTBgABx0EJx7boXXJ0mSJEnaNgOFXFSrBiNGwNCh2fz9gw+Gp5+u7Kp2eQ/940PmLV/LwFO/QvVqOYz6GDgQ5s2DP/0Jatas+AIlSZIkSdtkoJCriGzO/rvvQtu2cMYZcMEF2bvmytuywiLueOUDju/Ugh4dctj28e234fbbs5/BUUdVfIGSJEmSpO0yUMhX587Z9Idf/hLuvx+6dYN//rOyq9qlpJQYOGIyazYUc+0pOWwTuWFDFt60agXXX1/xBUqSJEmSymWg8GXssUf2h+3o0bBxI/ToAb/+dfa5ynX36Nm8MLmAq086kPYtctj28dZb4f33syknDRpUfIGSJEmSpHIZKPwrevaESZPgrLNg8OAsWPjgg8quqkobNWMxt7w4g15dW3Fhz3blXzBrVvZ/26cP9O5d8QVKkiRJknJioJCjdRuKSSltfUfDhjB8ODz+OMyYkU2BuPdeKOvc3dzcZasZ8NgEDmxZn5v6HEKUt/1mSnDRRdn2kHfcsXOKlCRJkiTlxEAhByklBjw2gQuHj2fxqnVln/TDH2bD8o84Ai68EE4/HZYs2bmFVmGrizby0+HjiQiGndOdPfeoUf5FDz4Ir70GN98Me+9d4TVKkiRJknJnoJCjr+3fhDGzlnDibWN4/r2FZZ/Upg38/e/wu9/BCy/AIYdkH3dzKSWuevI9Zi1exZ1nHcq+Tfcs/6JFi+CKK7JpJRdcUPFFSpIkSZLyYqCQg4jggp7tGDmgB/s22ZP+j06g/6PvsmL1+q1PrlYNLr8c3nkHmjeHU06BSy7ZrbeXvGfMHP763sdcdVInenZonttFl10Gq1fDsGHZ/6kkSZIkqUrxL7U8tG9RnycvPporv92RF6cU8K3bxvDy1EVln9ylSxYq/PzncNdd0LUrvP56xRc5fz489xyMGZNNwZg/P/vDvJLWdBgzcwk3/206p3bZm4uOyWERRoCRI7M1KQYOhE45bCspSZIkSdrposyFBitY9+7d07hx43b64+5IUxZ+whV/mcT0glV87/A2DOr1FRrUrln2yaNHw09+Ah9+mL3zft11UKfONr93SUli/EcrmLXoi1ENic1/Tpv+2BJAURG8+CK8/DItVi7m2DnjqV284YuTataExo2/uDVqtPnXjRtDx45w8slQI4f1DXLw0bI19LpzLHs3rM1T/Y7Obd2EwkI46CCoVw8mTMi26JQkSZIk7TQRMT6l1L3c8wwUvryijcXc/sos7h41m70a1Obm73WlR4dmZZ9cWAhXX52NVujYER56CI48crNTZi1axYiJCxgxYSELVq79l2qrXx1OarSR3jVXctS6AqqvXAErVsDKldnHTW8rV0JJSXbhPvtAv37ZugXNtvFvycGa9Rs5465/sHDlWp67tAdtm9bN7cLLLoPbb4exY+Hoo7/040uSJEmSvhwDhZ1owkcruOJ/JzFnyWrOObIt15zcibq1tvFu/Msvw/nnZ1MRfvELFl95Lc9OW8rTExYwZeGnVAvo2aE5px/amq/t34Tq1b7YWnGrTRbHj4dB/wUTJhBdu8GQIdC9OzMKsmDib5MLKCzaSPP6tejVpRW9u7WiS5uGW2/XWFICq1ZlIyluvx1eeSXbqvHss+HSS7PpGnlIKTHg8Yk8/95CHjj3qxx3YIvcLnz77SxkufhiGDo0r8eUJEmSJO0YBgo72boNxdzy4gzuf+P/2LfJntz6/a58db8mZZ5buGQ5L/76TkYsDd7YrxslUY0ubRry3W6tOa3r3rSoX3v7DzZvHlxzDTz6aLad4o03Qt++Wy1euG5DMa9NX8yIiQt4bfoS1heXsH+zunynaxYutGter+zvP3ky3HknDB8Oa9fCMcfAgAHQu3dO0yH+NGYO142cxlUnHUi/49qXez4AGzbA4YfD8uUwdSo0aJDbdZIkSZKkHcpAoZK8NWcZVz4xifkr1nJBj/254tsHUrtmdTYUlzB2VjYS4aWpBazbUMI+teH0t5+n9zsjOeDiH2eLEG5vzYA1a+CWW+Cmm7JFFK68MptGUW8bwcAmPlm7gRcnFzBi4gLenLOMlKBLm4Z8p2srenVtRcsGZYQYy5fD/fdn4cLcudl0iEsuyaZDNG1a5uOMnbWU/7j/LU46eC+GnnXY1qMhtuWGG+Daa2HEiCy4kCRJkiRVCgOFSrS6aCPXj5zGn9/6iPYt6nFUu6aMfP9jlq1eT6M9a3Jal705/dDWHLZvY2LlymzdgOHDoVs3ePDBracYpASPPZaFB/Pnww9+ADffDG3bfqn6Fn26jucmLeSZiQt5f8EnRMDRBzTl1ENaceyBzWndaIsFI4uL4fnns+kQr76aTYfo2zebDtGly+enzVueLcLYon4tnu739W1P+9jSrFlwyCFw2mnwxBNf6t8kSZIkSdoxDBSqgNEzl3D1E++xfM16vtW5Jd89tDXHdmzOHjXK2K3zmWfgoouyUQGDBmVTGmrUyLae/NnP4M034bDD4Pe/h549d1iNs5cU8uzEhTwzcQEfLlsDQLvmdTmmQ3N6dmjGke2abh4MTJ4Md9wBDz+cTYc49li46CLWHnc8ff4yk3kr1vBs/x7s3yzHRRhTghNOgHffhWnTsikckiRJkqRKY6BQRWwoLmFjcaLOHtXLP3nZMujfHx5/HLp3h06d4JFHoGVLuP56OPfcrdZJ2FFSSsxeUsiYmUt5fdYS/jlnOWs3FFOzenDYvo3p2aEZPTs05+DWDbOFIpcvh/vug6FDSXPnclmvK3m28zHcX/I+3/hGt2zdhRymYvDAA3DeefDHP2aBiiRJkiSpUhko7MqeeCLb6eDTT+Hyy7O1BerX36klFG0sZvzcFbw+KwsYJi/4FIBGe9bk6+2bcUxpwNCq/h7c++hohkxZy5XzXqf/E7fB+vXZ6IojjoDjj89GIBx5JNSqtfmDLFoEnTvDwQfDqFEVFpZIkiRJknJnoLCrW7Eim1LQqlVlVwLAssIixn6w9POAYdGnRUA2PWLusjV8s3ML7j77cKoVrYM33si2nnz1VRg3LtuWsk4d6NEjCxeOPz6bvtG3Lzz1FEyalI3GkCRJkiRVOgMFVZiUEh8sLmRMabiwobiEe87pTr2yFmFcuRLGjMkChldegSlTsuMNGmQjMAYPztaMkCRJkiRVCQYKqpoKCuC117JwYc2abFeL7W2VKUmSJEnaqXINFHLc10/aQfbaC848M7tJkiRJknZZroInSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyZqAgSZIkSZLyFimlnf+gEUuAuTv9gf91zYCllV2Edhn2i/Jlzygf9ovyZc8oH/aL8mXP/Htpm1JqXt5JlRIo7KoiYlxKqXtl16Fdg/2ifNkzyof9onzZM8qH/aJ82TO7J6c8SJIkSZKkvBkoSJIkSZKkvBko5GdYZRegXYr9onzZM8qH/aJ82TPKh/2ifNkzuyHXUJAkSZIkSXlzhIIkSZIkScqbgYIkSZIkScqbgYIkSZIkScqbgUIOIqJJRDwdEasjYm5EnFXZNanqiIj+ETEuIooi4sEt7jshIqZHxJqIeC0i2lZSmaoiIqJWRNxX+rtkVURMiIiTN7nfntFWIuKRiPg4Ij6NiJkRccEm99kzKlNEdIiIdRHxyCbHzir9/bM6IkZERJPKrFFVQ0SMKu2VwtLbjE3us2e0lYj4UURMK+2L2RHRs/S4z0m7GQOF3AwF1gMtgbOBuyPioMotSVXIQmAIcP+mByOiGfAU8F9AE2Ac8D87vTpVNTWAecCxQEOy/vhLROxnz2g7bgD2Syk1AL4DDImIw+0ZlWMo8M5nX5S+drkHOIfsNc0a4K7KKU1VUP+UUr3S24Fgz6hsEfEt4CbgJ0B94Bhgjs9Juyd3eShHRNQFVgAHp5Rmlh57GFiQUrqmUotTlRIRQ4A2KaVzS7/+KXBuSuno0q/rAkuBQ1NK0yutUFU5EfEeMBhoij2jckTEgcAo4GdAI+wZlSEifgScAUwF2qeU+kbE9WTB1Fml5xwATAOappRWVV61qmwRMQp4JKV07xbH7RltJSL+AdyXUrpvi+O+9t0NOUKhfB2B4s/ChFKTAEcoqDwHkfUKACml1cBs7B1tIiJakv2emYI9o+2IiLsiYg0wHfgYGIk9ozJERAPgN8AVW9y1Zb/MJhuB2XHnVacq7IaIWBoRb0TEcaXH7BltJiKqA92B5hHxQUTMj4g7I6IOPiftlgwUylcP+GSLY5+QDe+Rtsfe0XZFRE3gz8BDpcm9PaNtSin1I+uFnmRDSouwZ1S235K9ezhvi+P2i7blaqAd0BoYBjxXOhrBntGWWgI1ge+RPR91Aw4FBmK/7JYMFMpXCDTY4lgDwGFeKo+9o22KiGrAw2Tv9PQvPWzPaLtSSsUppbFAG+Bi7BltISK6Ad8EbivjbvtFZUopvZVSWpVSKkopPQS8AZyCPaOtrS39eEdK6eOU0lLgv7FfdlsGCuWbCdSIiA6bHOtKNjxZ2p4pZL0CfD6P7ADsnd1eRARwH1nK3yeltKH0LntGuarBF71hz2hTxwH7AR9FRAFwJdAnIt5l635pB9Qie60jbSoBgT2jLaSUVgDzyXpkSz4n7YYMFMpROvfnKeA3EVE3Ir4O9CZ7Z1EiImpERG2gOlA9ImpHRA3gaeDgiOhTev8g4D0XpRFwN9AZ6JVSWrvJcXtGW4mIFqXbc9WLiOoRcSJwJvAq9oy2NozsBXy30tsfgb8CJ5JNseoVET1LX+j/BnjKxfV2bxHRKCJO/Oz1S0ScTbZq/4vYMyrbA8Clpc9PjYHLgOfxOWm3ZKCQm35AHWAx8BhwcUrJpE2fGUg2/OsaoG/p5wNTSkuAPsB1ZDuFHAH8qLKKVNVQuh/zRWQv9As22fP7bHtG25DIpjfMJ+uLW4HLUkrP2DPaUkppTUqp4LMb2RDkdSmlJaWvXf6T7I/ExWTzmvtVYrmqGmqSbX+9hGxF/kuB76aUZtgz2obfkm1JO5Ns148JwHU+J+2e3DZSkiRJkiTlzREKkiRJkiQpbwYKkiRJkiQpbwYKkiRJkiQpbwYKkiRJkiQpbwYKkiRJkiQpbwYKkiRJkiQpbwYKkiRJkiQpbwYKkiRJkiQpb/8Pwt5+vOWGy8EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1296x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for y in range(len(test)):\n",
    "    arima_model = ARIMA(series, order=(1,1,1)) \n",
    "    model_fit = arima_model.fit(disp=0)\n",
    "    preds = model_fit.forecast()\n",
    "    pred = preds[0]\n",
    "    predictions.append(pred)\n",
    "    actual_val = test[y]\n",
    "    series.append(actual_val)\n",
    "error = mean_squared_error(test, predictions)\n",
    "print('Test error is {}'.format(error))\n",
    "plt.plot(predictions,'r')\n",
    "plt.plot(np.array(test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Great, we have obtained better results by changing the parameters of the model! By using the statistical methods above and by trying out different values, you can achieve great results on various different time-series.\n",
    "<strong>I hope you're now acquainted with various concepts of Time-Series Forecasting and the ARIMA Model!</strong>"
   ]
  }
 ],
 "metadata": {
  "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": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}