{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from numpy import sqrt\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.io as sio\n",
    "import os\n",
    "import random\n",
    "import time\n",
    "import sys\n",
    "from matplotlib import rcParams\n",
    "from scipy.linalg import eigh\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from scipy import stats\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.formula.api import ols\n",
    "import pandas as pd\n",
    "import matplotlib as mpl\n",
    "\n",
    "\n",
    "import statsmodels.formula.api as smf\n",
    "\n",
    "mpl.rcParams['figure.dpi'] = 400 \n",
    "plt.rc('text',usetex=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Experimento aleatório"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Exemplo com \n",
    "\n",
    "$$ y = - x + 10 + \\varepsilon $$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-5,1.5)\n",
    "e = np.random.normal(loc=0,scale=1.0,size=len(x))\n",
    "y = -x + 10 + e\n",
    "\n",
    "df = pd.DataFrame(x, columns=['x'])\n",
    "df['cte'] = 1\n",
    "df['y'] = y\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "\n",
    "model = sm.OLS(df.y,df[['cte','x']]).fit()\n",
    "model_prediction = model.predict(df[['cte','x']])\n",
    "plt.plot(df['x'],model_prediction,'r-')\n",
    "\n",
    "plt.title(r'$R^2 ='+str(np.round(model.rsquared,4))+'$')\n",
    "#model = sm.OLS(y,x)\n",
    "#results = model.fit()\n",
    "#model_prediction = results.predict(df)\n",
    "\n",
    "\n",
    "plt.plot(x,y,'o')\n",
    "plt.xlabel(r'$X$',fontsize=16)\n",
    "plt.ylabel(r'$Y$',fontsize=16)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "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>student_resid</th>\n",
       "      <th>unadj_p</th>\n",
       "      <th>bonf(p)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.746519</td>\n",
       "      <td>0.459072</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.016487</td>\n",
       "      <td>0.986915</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.410202</td>\n",
       "      <td>0.683521</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.680155</td>\n",
       "      <td>0.499743</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-1.112846</td>\n",
       "      <td>0.271434</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>-0.792624</td>\n",
       "      <td>0.431980</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1.479353</td>\n",
       "      <td>0.145718</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.064645</td>\n",
       "      <td>0.948731</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>-0.788048</td>\n",
       "      <td>0.434625</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1.215152</td>\n",
       "      <td>0.230377</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>-0.048571</td>\n",
       "      <td>0.961467</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>-0.194416</td>\n",
       "      <td>0.846688</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>-1.537262</td>\n",
       "      <td>0.130935</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.170011</td>\n",
       "      <td>0.865731</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.155587</td>\n",
       "      <td>0.877025</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.545562</td>\n",
       "      <td>0.587947</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>-0.543328</td>\n",
       "      <td>0.589472</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.006481</td>\n",
       "      <td>0.994856</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1.023033</td>\n",
       "      <td>0.311529</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.501955</td>\n",
       "      <td>0.618043</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2.056759</td>\n",
       "      <td>0.045284</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>-0.730521</td>\n",
       "      <td>0.468698</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>2.067536</td>\n",
       "      <td>0.044214</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>1.094828</td>\n",
       "      <td>0.279171</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-1.099689</td>\n",
       "      <td>0.277068</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.064662</td>\n",
       "      <td>0.948717</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.131344</td>\n",
       "      <td>0.896064</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>1.038550</td>\n",
       "      <td>0.304328</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>-1.037797</td>\n",
       "      <td>0.304674</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>1.222261</td>\n",
       "      <td>0.227703</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>0.413295</td>\n",
       "      <td>0.681270</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0.550664</td>\n",
       "      <td>0.584472</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>-2.599936</td>\n",
       "      <td>0.012422</td>\n",
       "      <td>0.621109</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-0.354215</td>\n",
       "      <td>0.724762</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0.544528</td>\n",
       "      <td>0.588653</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>0.501638</td>\n",
       "      <td>0.618264</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>-2.184092</td>\n",
       "      <td>0.033980</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>-1.585129</td>\n",
       "      <td>0.119643</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>0.826308</td>\n",
       "      <td>0.412805</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>-0.619586</td>\n",
       "      <td>0.538522</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>0.946933</td>\n",
       "      <td>0.348516</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>1.402931</td>\n",
       "      <td>0.167209</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>-0.852057</td>\n",
       "      <td>0.398503</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>-1.412332</td>\n",
       "      <td>0.164440</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>-0.960049</td>\n",
       "      <td>0.341944</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>0.592035</td>\n",
       "      <td>0.556664</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>0.681124</td>\n",
       "      <td>0.499136</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>-0.357010</td>\n",
       "      <td>0.722682</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>-0.047570</td>\n",
       "      <td>0.962260</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>1.042467</td>\n",
       "      <td>0.302528</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    student_resid   unadj_p   bonf(p)\n",
       "0       -0.746519  0.459072  1.000000\n",
       "1       -0.016487  0.986915  1.000000\n",
       "2       -0.410202  0.683521  1.000000\n",
       "3        0.680155  0.499743  1.000000\n",
       "4       -1.112846  0.271434  1.000000\n",
       "5       -0.792624  0.431980  1.000000\n",
       "6        1.479353  0.145718  1.000000\n",
       "7       -0.064645  0.948731  1.000000\n",
       "8       -0.788048  0.434625  1.000000\n",
       "9        1.215152  0.230377  1.000000\n",
       "10      -0.048571  0.961467  1.000000\n",
       "11      -0.194416  0.846688  1.000000\n",
       "12      -1.537262  0.130935  1.000000\n",
       "13       0.170011  0.865731  1.000000\n",
       "14       0.155587  0.877025  1.000000\n",
       "15       0.545562  0.587947  1.000000\n",
       "16      -0.543328  0.589472  1.000000\n",
       "17       0.006481  0.994856  1.000000\n",
       "18       1.023033  0.311529  1.000000\n",
       "19      -0.501955  0.618043  1.000000\n",
       "20       2.056759  0.045284  1.000000\n",
       "21      -0.730521  0.468698  1.000000\n",
       "22       2.067536  0.044214  1.000000\n",
       "23       1.094828  0.279171  1.000000\n",
       "24      -1.099689  0.277068  1.000000\n",
       "25       0.064662  0.948717  1.000000\n",
       "26       0.131344  0.896064  1.000000\n",
       "27       1.038550  0.304328  1.000000\n",
       "28      -1.037797  0.304674  1.000000\n",
       "29       1.222261  0.227703  1.000000\n",
       "30       0.413295  0.681270  1.000000\n",
       "31       0.550664  0.584472  1.000000\n",
       "32      -2.599936  0.012422  0.621109\n",
       "33      -0.354215  0.724762  1.000000\n",
       "34       0.544528  0.588653  1.000000\n",
       "35       0.501638  0.618264  1.000000\n",
       "36      -2.184092  0.033980  1.000000\n",
       "37      -1.585129  0.119643  1.000000\n",
       "38       0.826308  0.412805  1.000000\n",
       "39      -0.619586  0.538522  1.000000\n",
       "40       0.946933  0.348516  1.000000\n",
       "41       1.402931  0.167209  1.000000\n",
       "42      -0.852057  0.398503  1.000000\n",
       "43      -1.412332  0.164440  1.000000\n",
       "44      -0.960049  0.341944  1.000000\n",
       "45       0.592035  0.556664  1.000000\n",
       "46       0.681124  0.499136  1.000000\n",
       "47      -0.357010  0.722682  1.000000\n",
       "48      -0.047570  0.962260  1.000000\n",
       "49       1.042467  0.302528  1.000000"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.outlier_test()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "r = model.outlier_test().student_resid\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.plot(df['x'],r,'.')\n",
    "\n",
    "plt.fill_between(x=df['x'],y1=-3,y2=3,color='C0',alpha=0.1)\n",
    "\n",
    "plt.ylabel(r'Studentized residue $r_i$',fontsize=13)\n",
    "\n",
    "plt.xlabel(r'$X$',fontsize=13)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "plt.xlim(np.min(df['x']),np.max(df['x']))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Função distribuição acumulada"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulada normal\n",
    "\n",
    "$$ \\Phi(x) = \\frac{1}{\\sqrt{2\\pi}}\\int_{-\\infty}^x e^{-t^2} dt $$\n",
    "\n",
    "### Resíduos ordenados\n",
    "\n",
    "$$ r_{(1)} \\leq r_{(2)} \\leq \\cdots r_{(n)} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import norm ## Normal dist. \n",
    "from statsmodels.distributions.empirical_distribution import ECDF #função dist. acumulada empírica.\n",
    "\n",
    "r = model.outlier_test().student_resid\n",
    "\n",
    "ecdf_r = ECDF(r) # criando a distribuicao acumulada dos resíduos studentizados.\n",
    "\n",
    "x_ = np.linspace(-4,4,100)\n",
    "Phi = norm.cdf(x_)\n",
    "\n",
    "#\n",
    "fig = plt.figure()\n",
    "plt.plot(r,ecdf_r(r),'.',label=r'CDF empírica $\\hat{F}(r_i)$')\n",
    "plt.plot(x_,Phi,label=r'CDF normal $\\Phi(x)$')\n",
    "plt.legend(loc='upper left',fontsize=11)\n",
    "plt.xlabel(r'$X_{\\rm{\\small{Gauss}}},r_i$',fontsize=13)\n",
    "plt.ylabel(r'CDF',fontsize=13)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Acima comparamos as duas distribuições, isto é, a CDF empírica de $r_i$, $\\hat{\\mathcal{F}}(r_{(i)})$, e a CDF da distribuição normal, $\\Phi(i/N)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Q-Q plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Com o pacote"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = model.resid \n",
    "res\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sm.qqplot(res,line='s',ax = ax)\n",
    "\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Entendendo o que o pacote faz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Queremos visualizar \n",
    "\n",
    "$$ \\Phi^{-1}\\left(\\frac{i}{n}\\right) \\times r_{(i)}$$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import norm\n",
    "\n",
    "r = model.outlier_test().student_resid # resíduos studentizados\n",
    "\n",
    "index = (np.arange(len(r)))/len(r) # i/N\n",
    "\n",
    "expected_value_r = norm.ppf(index) # Percent point function: retorna o x que gera uma determinada area sob a curva.\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "plt.plot(expected_value_r,np.sort(r),'o')\n",
    "plt.xlabel(r'$\\Phi^{-1}\\left(\\frac{i}{n}\\right)$',fontsize=13)\n",
    "plt.ylabel(r'$r_{(i)}$')\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulando resíduos correlacionados no tempo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A variável `e_correlated` conterá os ruídos correlacionados $\\varepsilon_{\\rm{corr}}$. Basicamente, $\\varepsilon_{\\rm{corr}, i}$ será a soma de ruídos descorrelacionados $\\varepsilon_i$ dentro de uma janela de tamanho $w$:\n",
    "\n",
    "$$ \\varepsilon_{\\rm{corr}, i} = \\sum_{j=i-w/2}^{i+w/2} \\varepsilon_i $$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import random\n",
    "x = np.linspace(-5,1.5)\n",
    "e = np.random.normal(loc=0,scale=1.0,size=len(x))\n",
    "\n",
    "ecorrelated = np.convolve(e,np.ones(10))\n",
    "\n",
    "random.shuffle(x)\n",
    "y = -x + 10 + ecorrelated[0:len(x)]\n",
    "\n",
    "df = pd.DataFrame(x, columns=['x'])\n",
    "df['cte'] = 1\n",
    "df['y'] = y\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "\n",
    "model = sm.OLS(df.y,df[['cte','x']]).fit()\n",
    "model_prediction = model.predict(df[['cte','x']])\n",
    "plt.plot(df['x'],model_prediction,'r-')\n",
    "\n",
    "plt.title(r'$R^2 ='+str(np.round(model.rsquared,4))+'$')\n",
    "#model = sm.OLS(y,x)\n",
    "#results = model.fit()\n",
    "#model_prediction = results.predict(df)\n",
    "\n",
    "\n",
    "plt.plot(x,y,'o')\n",
    "plt.xlabel(r'$X$',fontsize=16)\n",
    "plt.ylabel(r'$Y$',fontsize=16)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Sa+nGc7J7IH50tCuRWgAAAABz0dk805siIhpmaIJTRMS6a3OvqTPBCQAA5i4BJwBKxhMdp5Otd/iNROsBAAAAzCWdfRfynpmpCU4REeuuyx1wOtX9TvT0D81QNwAAwEwScAKgJBzrPB/Pn8omWvO5U9nIdJ1PtCYAAADAXNHVl3+CU/1MBpzyTHCKiHjx16Y4AQDAXCTgBEBJePb4uYLUPZApTF0AAACAUne2N/cEp6XVC6OqonyGuom4+Zq6WFCW+4w1dQAAMDcJOAFQEibyxOBUvNVnbDkAAADAlXT25v55TEPtohnq5F3VlRWxun5xzjNH3hBwAgCAuUjACYCSMDA0UpC6/UPDBakLAAAAUOrO5nngrKFu5tbTXbLuutxr6kxwAgCAuUnACYCSUF1ZmHHnNZUVBakLAAAAUOo686yom+kJThER667NHXB6o+ed6Ok3sRsAAOYaAScASkJ9bWGeCLy6trIgdQEAAABKXVcxTnDKE3CKiHjx16Y4AQDAXCPgBEBJ2JReXlJ1AQAAAErd2TwTnBoL9EBaLjdfUxcLynKf+eUbAk4AADDXCDgBUBLS9Yvj1pWpRGvetjIV6frFidYEAAAAmAvODw5H/9BIzjMNdTO/oq66siJubMj985wXTws4AQDAXCPgBEDJuK/p2mTrbbgu0XoAAAAAc0VnnulNERENszDBKSLiw3nW1B0RcAIAgDlHwAmAknHn2oZYtaw6kVqrllXHp9bUJ1ILAAAAYK7p7BvMe6ZxFiY4RUSsyxNweqPnnejpH5qhbgAAgJkg4ARAyVhYviAevHdd1FSVT6tOTVV5PHjvulhY7j+DAAAAAFcykYBT/SxNcPrIdbkDThGmOAEAwFzjzi4AJeXGhsXxcMv6qK6cWsippqo8Hm5ZHzc2LE64MwAAAIC5I9+KuiVXLYxFC6f3ENpU3fyhJbGgLPcZAScAAJhbBJwAKDlNq5bG3j/cOOl1dauWVceeBzZG06qlBeoMAAAAYG7IN8GpYZamN0VEXFVZnvfhtRcFnAAAYE6pmO0GAGAqbmxYHI9t+Vj86GhXPHH4jXjuVHbcs7etTMV9G66LT62pt5YOAAAAYALO5png1FA3ewGniIgPX7skXj17ftz3f/mGgBMAAMwlAk4AlKyF5Qti882Nsfnmxsh0nY8DmXPxVt9Q9A8NR01lRVxdWxmb0ssjXW8dHQAAAMBkdPbmnuDUWLtohjq5so9cuySe7Dg97vuns+9ET/9QLK2pnMGuAACAQhFwAmBOSNcvFmQCAAAASEhnX+4JTvWzPMFp3XVL8p45cvrt+MRN9TPQDQAAUGj29AAAAAAAAO9T7BOcbv7QklhQlvvMkdPW1AEAwFwh4AQAAAAAAFz2ztBI9A0O5zzTMMsTnK6qLI8bG3JP8z7yhoATAADMFQJOAAAAAADAZfnW00VENMzyBKeIiHXXpnK+b4ITAADMHQJOAAAAAADAZWfzrKeLiGic5QlOERHrrq3L+f7p7DvR3T80Q90AAACFJOAEAAAAAABcVjITnK5bkveMKU4AADA3CDgBAAAAAACX5ZvgVLuoIq6qLJ+hbsZ384eWxIKy3GdeFHACAIA5QcAJAAAAAAC4LN8Ep4ba2V9PFxFxVWV5/HZDbc4zR94QcAIAgLlAwAkAAAAAALisK88Ep2JYT3fJh6/NvabOijoAAJgbBJwAAAAAAIDLzuaZ4NRYVxwTnCIi1l1bl/P909l3ort/aIa6AQAACqVithuA6Whra4vvf//70dHREd3d3ZHNZiOVSkU6nY7m5ubYvHlzNDc3z3abAABQVDJd5+NA5lx09Q3GwNBIVFeWR31tVWxKL490/eLZbg8AgFnWmW+CU13xTHBad10q75kjp9+OT95UX/hmAACAghFwoiTt2bMnduzYEdlsNiIi0ul0pNPpyGazkclkoqOjIzo6OmLXrl2RTqdjx44dsXXr1tltGgAAZtHFkdF45pXOeKLjdDx/KnvFM998+vW4dWUq7mu6Nu5c2xALyw39BQCYj8725p7g1FBbPBOcbv5QXSwoixgdG//MiwJOAABQ8vy0mpLT2toa27Zti2XLlsW+fftibGwsjh07FocPH45jx45FT09P7Ny58/L5TCYT27Zti82bN18ORAEAwHzyWmdf3L/35/Fnf/vSuOGmS54/lY0/+9uX4v69P4/XO8/PTIMAABSNCxdHovfCcM4zxTTB6arK8vjthtqcZ375RnZmmgEAAApGwImSsnnz5mhra4utW7fGsWPHoqWl5QNnUqlUbN++PXp6eiKdTl9+vb29PTZs2CDkBADAvNJxsie2/vXhONk9MKnrTnYPxNZHD0XHyZ4CdQYAQDHq6su9ni6iuCY4RUR8+NolOd9/8XTvDHUCAAAUioATJWPHjh3R3t4eW7dujd27d+c9n0qlYv/+/e97LZPJxF133VWoFgEAoKi81tkXX973QgwMjUzp+v7BkfhK2wsmOQEAzCP51tNFRDQW0QSniIiPXJc74HQ6+0509w/NUDcAAEAhCDhRErLZbOzatSvS6fSEwk2XpNPp2L59+/te6+joiF27diXdIgAAFJWLI6Px9SdfnHK46ZL+wZH42pNH4uLIaEKdAQBQzDrn4ASniIgjp9+egU4AAIBCEXCiJOzYsSMiYlLhpku++tWvjlsPAADmqmde6Zz0WrrxnOweiB8d7UqkFgAAxS3fBKfFVRVRU1UxQ91MzM0fqosFZbnPHHkjOyO9AAAAhSHgREl4/PHHI+LdYNK2bdsik8lM+NpUKhUtLS0feL2trS2x/gAAoNg80XE62XqH30i0HgAAxSnfBKdim94UEXFVZXnc1Fib88y+w2/E3p9k4tWzfTPUFQAAkCQBJ4peNpuNbDYbEe+ul9uzZ0+sXr368msTkU6nP/Da/v37E+oQAACKy7HO8/H8qWyiNZ87lY1M1/lEawIAUHw6e3MHnOqLMOAUkX9N3clzA/GNH7wcv/c//SQ+8+0D8Xcv/DqGhq1hBgCAUiHgRNEbb1rTnj17Jlxj9erVE64LAACl7tnj5wpS90CmMHUBACgenX25V9Q11i2aoU4mp37xxINXB090x3/375+Lu//nn8QrZ3oL2BUAAJAUASeKXiqVmnaNK01w6u7unnZdAAAoRl151opM1Vt9QwWpCwBA8cg3wakYV9Q9mzkX/+vPTkz6ukxXf7R+60A8K8gPAABFT8CJopdOp68YUGppaZlwjcmsswMAgFI3MDRSkLr9Q8MFqQsAQPEotQlOL7/ZG5//zqF45+LUvgfuGxyOLd85ZJITAAAUOQEnSsLhw4ejubk5It4NPO3fv/+KoafxXGkd3WSuBwCAUlJdWV6QujWVFQWpCwBAcRgcHomegYs5zzTUFc8Ep6Hh0fjS9zri/OD0gvh9g8Pxxcc6Ymh4NKHOAACApPnpNCUhlUrF/v37p3z9L37xiw+8tnnz5um0BAAARau+QGtDrq6tLEhdAACKw0RWHRfqe82peOqlM5Hp6k+kVqarP3740pm4Z/01idQDAACSJeDEvNDe3v6B1y5NhCq0AwcOTOv6I0eOJNQJAADzxab08vjm068XpC4AAHPX2d78AadiWlH33QMnE6336LMnBZwAAKBICTgx57W1tUU2m33fay0tLTO2ou7jH//4jHwOAABckq5fHLeuTMXzp7KJ1bxtZSrS9YsTqwcAQPHp6ruQ90xDkUxwOnqmLw6e6E605sHj3fHq2b64qbE20boAAMD0LZjtBqDQdu/e/YHXdu7cOQudAADAzLmv6dpk6224LtF6AAAUn848K+quWlgei6uK47npn7zaVZC6Pz5amLoAAMD0CDgxp3V0dHxgPd3u3btnbHoTAADMljvXNsSqZdWJ1Fq1rDo+taY+kVoAABSvs725Jzg11lVFWVnZDHWT25k8vU5Vvv8NAACA2SHgxJy2ZcuW933d0tISW7dunaVuAABg5iwsXxAP3rsuaqrKp1Wnpqo8Hrx3XSws99dHAIC5rrM39wSnhtpFM9RJfgNDwwWp21+gugAAwPQUxyxZKIA9e/ZER0fH5a+bm5tj3759M97Hz372s2ldf+TIkdi2bVtC3QAAMJ/c2LA4Hm5ZH1/e90IMDI1M+vqaqvJ4uGV93NiwuADdAQBQbM7mWVHXUFc1Q53kV11ZmNsbNQWqCwAATI/v1JmTMplM7Nix4/LXTU1NsX///lnpZdOmTbPyuQAAEBHRtGpp7P3DjfG1J4/Eye6BCV+3all1PHjvOuEmAIB5pDPPerZimuC0oq4wvTQWqC4AADA9dgwwJ7W2tkY2m42Id8NNhw8fnt2GAABgFt3YsDge2/Kx+PPf/3DctjKV8+xtK1Px57//4Xhsy8eEmwAA5pmuEprg9Mk19SVVFwAAmB4TnJhzWltbL6+ma25unrXJTQAAUEwWli+IzTc3xuabGyPTdT4OZM7FW31D0T80HDWVFXF1bWVsSi+PdL1QEwDAfDQ0PBrn+odynmksooDTTY21cfv1y+Lgie7Eat5+w7K4qbE2sXoAAEByBJyYU3bt2hVtbW0REdHS0hL79u2b5Y4AAKD4pOsXCzIBAPA+b53PPb0porhW1EVEfHbTqkQDTg/csSqxWgAAQLKsqGPOaGtrix07dkRExNatW4WbAAAAAAAm6GzvhbxnimmCU0TE3besiHR9TSK10vU18elbViRSCwAASJ6AE3NCe3t7tLa2RkTE9u3bY/fu3bPcEQAAAABA6ejsyz/Bqb7IJjhVViyIR+5vitqq6S2rqK2qiEfub4rKCrdMAACgWPlunZKXyWRi8+bNERGxe/fu2Llz5yx3BAAAAABQWvIFnKoqFkTdoukFiQph7Yq62Pu5jbF4iiGn2qqK2Pu5jbF2RV3CnQEAAEkScKKkZbPZ2LBhQ0RE7Nu3L7Zu3Tqh6/bs2XN5nR0AAAAAwHzXmWdFXWPdoigrK5uhbibnjvTyaPvCpkmvq0vX18S+L2yKO9LLC9QZAACQlOJ73AIm6FK4KZvNxr59+6KlpWXC1+7evTvS6XQBuwMAAAAAKB2dvbknODXUVs1QJ1OzdkVdPPXHn4gfvnQm/qTthbhwcXTcs9csWRRf/c9/Jz59ywpr6QAAoET4zp2Sddddd0Umk5l0uCkioqOjIz760Y8WqDMAAAAAgNLS2Zd/glOxq6xYEPesvyZuuWZJznN3rm2Ie9ZfI9wEAAAlxHfvlKTW1tbo6OiYUrgpk8lERERTU1MhWgMAAAAAKDln80xwqi/yCU7vtbR6Yc73swMXZ6gTAAAgKVbUUXK2bdsWbW1tsX///mhubp709W1tbRERVtQBAAAAAPyTzr48K+rqSifgtOSqypzv9wwMzVAnAABAUgScKCm7du2KPXv2xPbt22PZsmXR0dGR95ru7u6IiMhms5HJZOKhhx6KCAEnAAAAAICIiOGR0TjXnzvg1Fhb/CvqLsk3wanHBCcAACg5Ak6UjLa2ttixY0dEvBt02rVr15RrCTcBAAAAALzrrfNDMTaW+0wpTXBaWpN7gtPbJjgBAEDJWTDbDcBEtLe3R2tra2L1mpqaEqsFAAAAAFDKOvsu5D3TWFc6E5xSJjgBAMCcI+BE0ctms4mGmyJMcAIAAAAAuORsb+71dBERDbUlNMGpOvcEp3cujsSFiyMz1A0AAJAEASeKXiaTiWw2m2jNj370o4nWAwAAAAAoVfkmOFVWLIglV+WeilRM8k1wiojImuIEAAAlpWK2G4B8mpqaYizfAngAAAAAAKYk3wSnhtqqKCsrm6Fupi/fBKeIiJ6BoVixpHTW7gEAwHxnghMAAAAAAMxjXXkmOJXSerqIiU1w6hkYmoFOAACApAg4AQAAAADAPNaZZ4JTY11pTTqayASnt62oAwCAkiLgBAAAAAAA89jZOTbBadHC8li0MPftjx4BJwAAKCkCTgAAAAAAMI/lm+DUUGITnCLyT3Gyog4AAEqLgBMAAAAAAMxTI6Nj8db5PAGnEpvgFBGRyhNwygo4AQBASRFwAgAAAACAeerc+cEYHct9pjQnOC3M+b4VdQAAUFoEnAAAAAAAYJ7q7Ms9vSkiorGuFCc45Q44meAEAAClRcAJAAAAAADmqbO9F/KeaagtvQlO+VbUmeAEAAClRcAJAAAAAADmqXwTnBaWl+Vd91aM8vVsghMAAJQWAScAAAAAAJinOntzB5waahdFWVnZDHWTnKV5JjhlTXACAICSIuAEAAAAAADz1Nm+3Cvq6murZqiTZOVbUZd952KMjY3NUDcAAMB0CTgBAAAAAMA8lX+CU2kGnPKtqBsZHYveC8Mz1A0AADBdAk4AAAAAADBPdeaZ4NRYt2iGOklWvglOERHZgaEZ6AQAAEiCgBMAAAAAAMxTp3veyfl+qU5wSuWZ4BQR0TNwcQY6AQAAklAx2w0AAAAAAAAzZ2h4NJ566Uw8euBEnOvPPcXozbcvxNDwaFRWlNbz0ksnMMGpxwQnAAAoGQJOAAAAAAAwT7z8Zm986Xsdkenqn9D57x38VTx7/Fw8cn9TrF1RV+DukrPkqoVRVhYxNjb+mbdNcAIAgJJRWo9cAAAAAAAAU/Js5ly0fvvAhMNNl2S6+qP1Wwfi2cy5AnWWvPIFZVG3KPeaOhOcAACgdAg4AQAAAADAHPfym73x+e8civODw1O6vm9wOLZ851C8cqY34c4KZ2l1voCTCU4AAFAqBJwAAAAAAGAOGxoejS99r2PK4aZL+gaH44uPdcTQ8GhCnRVWqroy5/tZE5wAAKBkCDgBAAAAAMAc9tRLZya9lm48ma7++OFLZxKpVWgmOAEAwNwh4AQAAAAAAHPYdw+cTLTeo88mW69QTHACAIC5Q8AJAAAAAADmqKNn+uLgie5Eax483h2vnu1LtGYhpPJMcMqa4AQAACVDwAkAAAAAAOaon7zaVZC6Pz5amLpJWppnglOPCU4AAFAyBJwAAAAAAGCOOtN7oSB1zxaobpKWmuAEAABzRsVsNwAAAEBpynSdjwOZc9HVNxgDQyNRXVke9bVVsSm9PNL1i2e7PQAAImJgaLggdfsLVDdJqTwTnM4PDsfQ8GhUVngWHAAAip2AEwAAABN2cWQ0nnmlM57oOB3Pn8pe8cw3n349bl2Zivuaro071zbEwnI3jAAAZkt1ZWFuA9QUqG6S8q2oi4jIvjMUDbWLZqAbAABgOor/byAAAAAUhdc6++LrT74YJ7sH8p59/lQ2nj+VjVU/PR4P3rsubmww0QkAYDasqCtMeKexQHWTlMqzoi7i3TV1Ak4AAFD8PEYLAABAXh0ne2LrXx+eULjpvU52D8TWRw9Fx8meAnUGAEAun1xTX1J1kzSRgFNP/9AMdAIAAEyXgBMAAAA5vdbZF1/e90IMDI1M6fr+wZH4StsL8Xrn+YQ7AwAgn5saa+P265clWvP2G5bFTY21idYshImtqLs4A50AAADTJeAEAADAuC6OjMbXn3xxyuGmS/oHR+JrTx6JiyOjCXUGAMBEfXbTqkTrPXBHsvUKpbqyPCrLc98GyQ6Y4AQAAKVAwAkAAIBxPfNK56TX0o3nZPdA/OhoVyK1AACYuLtvWRHp+ppEaqXra+LTt6xIpFahlZWV5V1T1zNgghMAAJQCAScAAADG9UTH6WTrHX4j0XoAAORXWbEgHrm/KWqrKqZVp7aqIh65vykqK0rn1kK+NXU9JjgBAEBJKJ2/hQAAADCjjnWej+dPZROt+dypbGS6zidaEwCA/NauqIs/u+d3pnx9bVVF7P3cxli7oi7Brgov3wSnbL8JTgAAUAoEnAAAALiiZ4+fK0jdA5nC1AUAILeT56a2ejhdXxP7vrAp7kgvT7ijwsu/os4EJwAAKAXTm0cLAADAnNXVN1iQum/1uYkEADDTxsbG4u9feHNS19x+w7J44I5V8elbVpTUWrr3yreiLjtgghMAAJQCAScAAACuaGBopCB1+4eGC1IXAIDx/fKNt+NX3bknOKXra+J31zREY92i+OSa+ripsXaGuiucVL6A0zvC9wAAUAoEnAAAALii6srygtStqfRXUQCAmfb3L/w675l/9V99OP6TG6+egW5mztK8K+pMcAIAgFJQmjNlAQAAKLj62qqC1L26NvdT9AAAJGt0dCz+4Ze519Ndvbgq7kgvn6GOZk7+FXVDMTY2NkPdAAAAUyXgBAAAwBVtKtANrkLVBQDgyg6d7IkzvRdynvkv1q2I8gVlM9TRzEnlmeB0cWQs+gu0mhkAAEiOgBMAAABXlK5fHLeuTCVa87aVqUjXL060JgAAuU1kPd0966+ZgU5m3tKa/NNDe/qHZqATAABgOgScAAAAGNd9TdcmW2/DdYnWAwAgt+GR0fjBkdzr6a5ZsiiafmvpDHU0s1JX5Z7gFBGRHbg4A50AAADTIeAEAADAuO5c2xCrllUnUmvVsur41Jr6RGoBADAxBzLn4lyeCUX/Yv01sWAOrqeLiEhV55/glH3HBCcAACh2Ak4AAACMa2H5gnjw3nVRU1U+rTo1VeXx4L3rYmG5v4YCAMykCa2n+8jcXE8XEZGqzj/BqccEJwAAKHp+sgwAAEBONzYsjodb1kd15dRCTjVV5fFwy/q4sWFxwp0BAJDL4PBIPPXimZxnrl9eHR++tm6GOpp5C8sXRG1VRc4z2QETnAAAoNgJOAEAAJBX06qlsfcPN056Xd2qZdWx54GN0bRqaYE6AwBgPD999a3ovTCc88w966+JsrK5uZ7uklRN7ilOPf0mOAEAQLHL/dgCAAAA/JMbGxbHY1s+Fj862hVPHH4jnjuVHffsbStTcd+G6+JTa+qtpQMAmCV//8sJrKdbP3fX012ytLoyTnW/M+77PSY4AQBA0RNwAgAAYMIWli+IzTc3xuabGyPTdT4OZM7FW31D0T80HDWVFXF1bWVsSi+PdL11dABQql492xc/PtoVZ3ovxMDQcFRXVsSKukXxyTX1cVNj7Wy3xwS9MzQS+//xbM4zaxpr58U/01R1Zc73ragDAIDiJ+AEAADAlKTrFwsyAcAcMTQ8Gk+9dCa+e+BkHDzRfcUz3/jBy3H79cvis5tWxd23rIjKClMai9l/fKUzBoZGcp65Z/2HZqib2ZW6Ks+KugEr6gAAoNgJOAEAAAAAzGMvv9kbX/peR2S6+vOePXiiOw6e6I50fU08cn9TrF1RNwMdMhV//0L+9XT/4iNzfz1dRMTS6twBp+w7Ak4AAFDsPGIDAAAAADBPPZs5F63fPjChcNN7Zbr6o/VbB+LZzLkCdcZ09F24GP/xaGfOMx+5bklcf3XNDHU0u6yoAwCA0ifgBAAAAAAwD738Zm98/juH4vzg8JSu7xscji3fORSvnOlNuDOma/8/no2h4dGcZ+6ZJ9ObIvJPcOrpF3ACAIBiJ+AEAAAAADDPDA2Pxpe+1zHlcNMlfYPD8cXHOvKGaZhZ//DLN/Oe+S8+8qEZ6KQ4LK3JPcGp98JwDI/4dxgAAIpZxWw3AAAAAADA9L16ti9+fLQrzvReiIGh4aiurIgVdYvik2vq46bG2vedfeqlM5NeSzeeTFd//PClM3HP+vkzEaiYZQeG4ievduU889Hrl8Y1qatmqKPZl29FXUTE2+9cjOWLq2agGwAAYCoEnAAAAAAAStTQ8Gg89dKZ+O6Bk3HwRPcVz3zjBy/H7dcvi89uWhV337IiKisWxHcPnEy0j0efPSngVCSeevFMDI+O5TzzL+bRerqI/CvqIiJ6BgScAACgmAk4AQAAAACUoJff7I0vfa9jQpOYDp7ojoMnuiNdXxPbP71m3DDUVB083h2vnu37wKQoZt7f//LXOd9fUBbxn61bMUPdFIfUVfknOGUHhmagEwAAYKoEnAAAAADmkEzX+TiQORddfYMxMDQS1ZXlUV9bFZvSyyNdv3i22wMS8mzmXHz+O4fi/ODwpK7LdPXHH//75wvS04+Pdgk4zbLOvgtx4Ni5nGc2rV4eDbWLZqij4pCqyT/BKTtwcQY6AQAApkrACQAAAKDEXRwZjWde6YwnOk7H86eyVzzzzadfj1tXpuK+pmvjzrUNsbB8wcw2CSTm5Td7pxRuumRwZDThjt51tvdCQeoycf/nkTORZztd3DPP1tNFRNRWVUTFgrKcq/t6THACAICiJuAEAAAAUMJe6+yLrz/5YpzsHsh79vlT2Xj+VDZW/fR4PHjvurixwUQnKDVDw6Pxpe91TDncVEj9Q8XX03zz9y/kXk9XsaAs7v7w/FpPFxFRVlYWqeqF8db58UNMJjgBAEBx86geAAAAQInqONkTW//68ITCTe91snsgtj56KDpO9hSoM6BQnnrpTGS6+me7jSuqqfQ87Ww6nX0nDuX5c/0TN9VHqrpyhjoqLvl+3SY4AQBAcRNwAgAAAChBr3X2xZf3vRADQyNTur5/cCS+0vZCvN55PuHOgEL67oGTs93CuBrrFs12C/Pa//HL3NObIiLuWf+hGeikOC2tXpjz/R4TnAAAoKgJOAEAAACUmIsjo/H1J1+ccrjpkv7Bkfjak0fi4shoQp0BhXT0TF8cPNE9222M65Nr6me7hXnt7194M+f7VRULovl3Gmeom+Kz5KrcE5yyJjgBAEBRE3ACAAAAKDHPvNI56bV04znZPRA/OtqVSC2gsH7yavH+Xr39hmVxU2PtbLcxbx1/qz+OnH4755nfXdsQtYtyTzGay/JNcMqa4AQAAEVNwAkAAACgxDzRcTrZeoffSLQeUBhnei/MdgvjeuCOVbPdwrz2Dy9MZD3dNTPQSfFaWpN7glOPCU4AAFDUBJwAAAAASsixzvPx/KlsojWfO5WNTNf5RGsCyRsYGp7tFq7ot5ZdFZ++ZcVstzGv/f0vcwecairL4841DTPUTXFKmeAEAAAlrWK2GwAAAABg4p49fq4gdQ9kzkW6fnFBagPJqK4szh/n1l21MCoWlM12G/PSq2f7Yt+hN+LVs7lDqptvboyrKstnqKvitLTaBCcAAChlxfk3YgAAAACuqKtvsCB13+pzYxeK3Yq6RQWpW1mxIIaGR6d8/Yune+M7B07E//0/uSHBrhjP0PBoPPXSmfjugZNx8ET3hK6Z7+vpIiKW5pngNDg8Gu8Mjcz7IBgAABQrAScAAACAEjIwNFKQuv1FuvoK+GefXFMf3/jBy4nX/bf/8rbY+dQrkenqn3KNnU+9EneuaYjrr65JsLPkvHq2L358tCvO9F6IgaHhqK6siBV1i+KTa+rjpsba2W5vwl5+sze+9L2OSf2zWlAW0VBbmHBcKUnlmeAU8e4Up6sqr5qBbgAAgMkScAIAAAAoIdUFmixRU6Srr4B/dlNjbdx+/bIJT+2ZiNtvWBafvmVF3LmmIX740pl49NmTcfD45OtfuDgaf9L2Qnx/66ZYUCTr6iYy6egbP3g5br9+WXx206q4+5YVUVmxYIa7nLhnM+fi8985FOcHJxdIHR2L+G/2Pht7P7cx7kgvL1B3xS+VZ4JTxLsBp2tSAk4AAFCM/OQKAAAAoITU11YVpO7VtfknWwCz77ObViUacHrgjlUR8e6aunvWXxP3rL/m8rSjs70Xon9oOGoqK6LjVz3R8atszlq/ONET/8vPTsR/+5/O/qq6yUw6OniiOw6e6I50fU08cn9TrF1RNwMdTs7Lb/ZOKdx0Sd/gcGz5zqHY94VNRfnrmwlLJzDB6e2BizPQCQAAMBXF+zgKAAAAAB+wqUDTNwpVF0jW3besiHR9Mmvg0vU18elbVnzg9Zsaa2PLJ9LxP/yLm+Ohez8S/8O/uDn++r/9WFw7gck2//qHr8Txt6a+6i4Jz2bOReu3D0x65V6mqz9av3Ugns2cK1BnUzM0PBpf+l7HlMNNl/QNDscXH+uIoeHRhDorLROb4CTgBAAAxUrACQAAAKCEpOsXx60rU4nWvG1lKtL1ixOtCRRGZcWCeOT+pqitmt5w/tqqinjk/qYJr2RbXFUR/7rlI3nPXbg4Gn+y74UYGR2bVn9TldSko1fO9Cbc2dQ99dKZSYe1xpPp6o8fvnQmkVqlpqqiPO+a156BoRnqBgAAmCwBJwAAAIASc1/TtcnW23BdovWAwlq7oi72fm5jLJ5iyKm2qiL2fm7jpFeVffzGq+Ozd/xW3nOHTvbE//J/HZ9Sb9MxVycdfffAyUTrPfpssvVKSb41dVkBJwAAKFoCTgAAAAAl5s61DbFqWXUitVYtq45PralPpBYwc+5IL4+2L2ya9Lq6dH1N7PvCprhjimspv/qf/U5ct3Qiq+qORqbr/JQ+Y6rm4qSjo2f64uCJ7kRrHjzeHa+e7Uu0ZqnIt6bOijoAAChe05tjDAAAAMCMW1i+IB68d11sffRQ9A+OTLlOTVV5PHjvulhY7hk4KEVrV9TFU3/8ifjhS2fi0WdPxsHj4wdhbr9hWTxwx6r49C0rJryW7kpqqipiV8tH4r/Z+/Oc5waHR+P/+b3n4r+69Zro7BuMgaHhqK6siBV1i+KTa+rjpsbaKfcwnkJMOrpn/TWJ1pysn7zaVZC6Pz7aVZB/BsUu3wQnK+oAAKB4CTgBAAAAlKAbGxbHwy3r48v7XoiBocmHnGqqyuPhlvVxY8PiAnQHzJTKigVxz/pr4p7118SrZ/vix0e74mzvhegfGo6ayopoLECg6OOrr44/3LQq/jpPoOgf3+yNf3yz9wOvf+MHL8ft1y+Lz25aFXdPM3B1SSEnHc1mEOhM74WC1D1boLrFbkmeCU5ZE5wAAKBoCTgBAAAAlKimVUtj7x9ujK89eSROdg9M+LpVy6rjwXvXCTfBHHNTY+2MhXF23L02njnaGae635nS9QdPdMfBE92Rrq+JR+5virUr6qbVz1yddDQwNFyQuv0FqlvsluYNOJngBAAAxUrACQAAAKCE3diwOB7b8rH40dGueOLwG/Hcqey4Z29bmYr7NlwXn1pTby0didu2bVvs2bMnjh07Ful0erbbocBqqipi133r41/ufXZadTJd/dH6rQOx93Mb44708inXmalJR5emZJ3pvTAja/eqKwvzI/yaAtUtdvlW1JngBAAAxWt+/i0GAAAAYA5ZWL4gNt/cGJtvboxM1/k4kDkXb/UNXV5RdXVtZWxKL490vYlNJK+9vT22bdsWmUwmIiKy2ezsNsSM2bR6eXxu06r4Tp5Vdfn0DQ7Hlu8cin1f2DTlSU6FnHQ0NDwaT710Jr574OS4a/AKsXYvIqJ8QVkidX5TY92igtQtdqk8AaceE5wAAKBoCTgBAPABl26MdvUNxsDQSFRXlkd9bZUbowBQAtL1i/33moLLZDKxe/fuaGtruxxsYn767zffFI/9/FcxPDo2rTp9g8Pxxcc64qk//sSUwkGFmnT0ypt9cfe/+Ulk3urPe3Yya/cmMgnq//jlm/HXPzuR1C/lfT65pr4gdYtdvhV1b79zMUZHx2JBgYJlAADA1Ak4AQAQEREXR0bjmVc644mO0/H8OKttvvn063HrylTc13Rt3Lm2wWobAIB5IJvNRmtra0S8G2x6b6ApnU5HKpUytWke+8lrb0073HRJpqs/fvjSmbhn/TWTvnZFgSYS5Vr7OZ7x1u5NdBLUR69fGnVXLYynX+6cats53X7DsoKs0ysF+VbUjY5F9F64mHfSEwAAMPMEnAAAiNc6++LrT74YJ7sH8p59/lQ2nj+VjVU/PR4P3rsubmwwIQIAYK5rb2+PiHcDTc3NzbF58+Zobm6OpqamWL16tYDTPPbdaa6n+02PPntySgGnT66pj2/84OVEe5mO31y79/KbvfGl73VEpiv/JKhfnOgpaG8P3LGqoPWLWSrPBKeIiJ4BAScAAChGAk4AAPNcx8me+PK+F2JgaGRS153sHoitjx6Kh1vWR9OqpQXqDgCA2ZZKpWJsLJkJPcwtR8/0jTuJaKoOHu+OV8/2TXrC0H98pTDTjqbj0tq9//G/vCX+6LsdcX5weLZbinR9TXz6lhWz3casmUhwqWdgKG6ImhnoBgAAmAwBJyAxma7zcSBzLrr6BmNgaCSqK8ujvrYqNqWXR7redA+AYvRaZ9+Uwk2X9A+OxFfaXog9D2w0yQkAAOaZn7zaVZC6Pz7aNeGA09jYWPzF//lK7P5JJv/hWZDp6o/Pf+dQXBgene1WoraqIh65vykqK+bvqvGlE5jg9PbAxRnoBAAAmCwBJ2BaLo6MxjOvdMYTHafj+VPZK5755tOvx60rU3Ff07Vx59qGWFg+f3+IAlBMLo6MxteffHHK4aZL+gdH4mtPHonHtnzMn/EAADCPnOm9UJC6Z99T99WzffHjo11xpvdCDAwNR3VlRayoWxSfXFMf6atr4mv/25F4/NAbBekjKcUSbtr7uY2xdkXdbLcyq+oWLYwFZRGjOYbS9QwMzVxDAADAhAk4AVP2WmdffP3JF+Nk90Des8+fysbzp7Kx6qfH48F715nyAVAEnnmlc0J/hk/Eye6B+NHRrth8c2Mi9QAAgOI3MFSYlWu9Fy7G373w6/jugZPjrsD7xg9ejqXVC6NnHk7bWXLVwnj7nYn/utP1NfHI/U3zPtwUEbFgQVksuSr3vzfz8d8pAAAoBQJOwJR0nOyZ0kqjk90DsfXRQ/Fwy/poWrW0QN0BMBFPdJxOtt7hNwScAABgHqmuLMyPl//+hTcnNJVpvgVRysoi/s0f3Br/2Yc/FD986Uw8+uzJOHj8ygGwiIjbb1gWD9yxKj59y4p5vZbuNy2trsz5707WBCcAAChKAk7ApL3W2TelcNMl/YMj8ZW2F2LPAxtNcgKYJcc6z4+7WnSqnjuVjUzX+UjX+7MdAADmgxV1iwpS952L01ujPVXp+pr48DVL4u9e+PWsfH4+Y2MRv/OhuqisWBD3rL8m7ll/zeUVfmd7L0T/0HDUVFZE4z+t8LupsXa2Wy5KqeqFOd+3og4AAIqTgBMwKRdHRuPrT7445XDTJf2DI/G1J4/EY1s+FgvLPUEGMNOePX6uIHUPZM4JOAEAwDzxyTX18Y0fvDzbbYyrvCzis5tWxctv9k140tH/++9enMEOJ+/HR7veF1y6qbFWkGmSUtWVOd+fb5PBAACgVAg4AZPyzCudcbJ7IJFaJ7sH4kdHu6wzApgFXX2DBan7Vp8nXQEAYL64qbE2br9+WRw8MX54aLYsWrggvnX/hrhzbUNExIQnHRVq7V5SzvZemO0WSl6+CU5vCzgBAEBRKu6/rQFF54mO08nWO/yGgBPALJjuJL7x9A8NF6QuAABQnD67aVXRBZyuWrggHv1vPxYbr192+bWJTjoq1Nq9pPg71/QtzTvByYM7AABQjAScgAk71nk+nj+VTbTmc6eykek6b50RwAyrriwvSN2aIn/aGQCA+efAgQPTuv7IkSMJdTI33X3LikjX10Smq3+2W7lsdcPi94WbJqPY1+75O9f0Lc0zwSlrghMAABQlfxsCJuzZ4+cKUvdA5pyAE8AMq6+tKkjdq2tzPwk7VZmu83Egcy66+gZjYGgkqivLo762Kjall/tvCAAAOX384x+f7RbmtMqKBfHI/U3R+q0D0TdYHNOFXjzdG6+e7ZvQxKbfVMxr9yIiGot8wlQpSJngBAAAJUnACZiwrr7BgtR9q6+4f2jgpjowF21KL49vPv16Qeom5eLIaDzzSmc80XF63AmC33z69bh1ZSrua7o27lzbEAvLFyT2+QAAwMSsXVEXez+3MT7/nUNxvkhCTj8+2jWlgFNEca7du+STa+pnu4WSl29F3cDQSAwOj0RVRWEmHwMAAFMj4ARM2MDQSEHq9g8Vxw++3stNdWCuS9cvjltXphJdPXrbylRiwc/XOvvi60++GCe7B/Keff5UNp4/lY1VPz0eD967Lm5sED4FAICZdkd6ebR9YVN88bGOSa2rW3JVRbz9TvI/Gzrbe2HK1xbj2r2IiNtvWDbl0Bb/LN+Kuoh319Q11gk4AQBAMXE3Hpiw6srC/KW+prK4spavdfbF/Xt/Hn/2ty/lvfH//Kls/NnfvhT37/15vN55fmYaBEjIfU3XJltvw3WJ1Ok42RNb//rwhMJN73WyeyC2PnooOk72JNIHAAAwOWtX1MVTf/yJ+Lf/8ra4/YZlOc/efsOy+Lf/8rb49C0fKkgv03mg7tLavdqq6f3MalFFsj9+f+COVYnWm6+WTCDgZE0dAAAUn+JKFQBFrb62qiB1r67NPRZ6JnWc7Ikv73th0tOqLt1Uf7hlfTStWlqg7gCSdefahlj10+OTDhJdyapl1fGpBFYlvNbZN6U/hy/pHxyJr7S9EHse2GiSEwAAERHxs5/9bFrXHzlyJLZt25ZQN3NfZcWCuGf9NXHP+mvi1bN98eOjXXG290L0Dw1HTWVFNNYtik+uqb88iSjJqbLvNd0H6qa7dq+2qiK+9dmm+H/93UuJTIJK19fEp29ZMe065F9RF/HuBCcAAKC4CDgBE7YpvTy++fTrBalbDNxUB+abheUL4sF718XWRw9F/+DU15DWVJXHg/eum/aqzosjo/H1J1+c9krU/sGR+NqTR+KxLR+zPhQAgNi0adNstzBv3dRYm3el2oq6RQX57MYE6k517V66viYeub8p1q6oi0fub4rWbx2IvimEpC6praqIR+5visqEJ0LNVxMLOJngBAAAxcbfiJgztm3bFmVlZZHJZGa7lTkrXb84bl2ZSrTmbStTka6f/TBQ0jfVL46MJtQZTF+m63w89vOT8W/aX40Hf/By/Jv2V+Oxn5+MTJe1ikTc2LA4Hm5ZP+U1pDVV5fFwy/pEgp3PvNKZyDSpiHcn6/3oaFcitQAAgML5ZAKTYAtZdypr957640/E2hV1l6/f+7mNsXiK6+5qqypi7+c2Xq7H9F1VWR5VecJiPSY4AQBA0THBiZLX3t4e27Ztuxxsymazs9vQHHdf07WJjg6/b8N1idWajkLcVN98c2Mi9WAqLo6MxjOvdMYTHafH/T37zadfj1tXpuK+pmvjzrUNJt3MY02rlsbeP9wYX3vyyKT+LFy1rDoevHddYlPrnug4nUidy/UOv+HPYgAAKHI3NdbG7dcvi4MnuhOrefsNy/JOjpqMya7d+01JTIIiWUurK+NM74Vx3+8xwQkAAIqOgBMlKZPJxO7du6Otrc3Ephl259qGWPXT44mEgVYtq45PFegpvclyU5255LXOvvj6ky9O6Pfp86ey8fypbKz66fFEgyqUnhsbFsdjWz4WPzraFU8cfiOeyxFmvW1lKu7bcF18ak19YsG4Y53nEw3QRkQ8dyobma7zRTEpEIB/luk6Hwcy56KrbzAGhkaiurI86murYlN6uT+zAeapz25alWjA6YE7ViVW6zdNZO3elVyaBPXDl87Eo8+ejIPHx//13n7DsnjgjlXx6VtWWEtXIKnqhTkDTlkTnAAAoOgIOFH0stlstLa2RsS7wab3BprS6XSkUilTm2bQwvIF8eC962Lro4eif3Dq69xqqsrjwXvXFcXEGDfVmUs6TvbEl/e9MOl1iye7B2Lro4fi4Zb10bRqaYG6o9gtLF8Qm29ujM03N16++fxW39Dlp5Kvrq0s2M3nZ4+fS7xmRMSBzDl/FgMUAdMlAcjl7ltWRLq+ZlLTjcaTrq+JT9+yIoGukjfdSVAkZ2l1Zc73e/pNcAIAgGIj4ERJaG9vj4h3A03Nzc2xefPmaG5ujqampli9erWA0wy7sWFxPNyyfkohioh3w00Pt6wfd1LMTD/R7aY6c8VrnX1T/n0ZEdE/OBJfaXsh9jyw0SQnIl2/eEb/DOvqGyxI3bf6/FAaYLaZLglAPpUVC+KR+5ui9VsHom9weMp1aqsq4pH7m0pi6tFUJ0GRjFT1wpzv95jgBAAARUfAiaKXSqVibGxsttvgNzStWhp7/3BjfO3JI5NaV7dqWfUVb1TM5hPdbqozF1wcGY2vP/nilMNNl/QPjsTXnjwSj235mKkJzKjp/rs7nv6hqd8cAWD6TJcEYKLWrqiLvZ/bGJ//zqE4P4WQU21VRez93MZYu6KuAN0x16TyTHB6+x0/1wMAgGLjziUwZTc2LI7Htnws/vz3Pxy3rUzlPHvbylT8+e9/OB7b8rEPhJte6+yL+/f+PP7sb1/Kuyru+VPZ+LO/fSnu3/vzeL3z/DR/Be9yU5254JlXOicVNszlZPdA/OhoVyK1YKKqK8sLUremUp4fYLYkNV0yqe/7ASh+d6SXR9sXNkW6vmZS16Xra2LfFzbFHenlBeqMuWapCU4AAFBy3PEBpmVh+YLYfHNjbL658fJqubf6hqJ/aDhqKivi6trKnKvliuGJbjfVmQue6DidbL3Db8Tmmxvf99pMr49kfqmvrSpI3atrcz+VC0BhmC4JwFStXVEXT/3xJ+KHL52JR589GQePd4979vYblsUDd6yKT9+yoiTW0lE8luaZ4JQdMMEJAACKjbvvQGLS9YsnFXJI6onuPQ9s/MBUqMlwU51Sd6zzfN7pZ5P13KlsZLrOx8pl1bO2PpL5ZVN6eXzz6dcLUheAmVeI6ZK/Gb4GYO6qrFgQ96y/Ju5Zf028erYvfny0K872Xrj8QF1j3aL45Jr6uKmxdrZbpUSl8kxwyg5cjLGxsSgrK5uhjgAAgHwEnIBZUUxPdLupTql79vi5gtT9+xd+Hf/X6+cmdHPy+VPZeP5UNlb99Hg8eO+6aYUOmZ/S9Yvj1pWpRMN6t61MmS4GMEtmYrokAPPDTY21gkwkLt8Ep+HRsegbHI66RbmDUAAAwMwxYmGG9fb2xokTJ2a7DZh1hXiie6ou3VRPkpvqzKSuvsGC1H380BuT/n16aX1kx8megvTE3HZf07XJ1ttwXaL1AJiYQk6XBABIwtKa/MGlbP/FGegEAACYKAGnf9Lb2xsPP/xw/NVf/VVBP+fzn/98rF69On77t387/t2/+3cF/SwoZoV4ons63FSnlE13Etp4hkfHpnTdpfWRr3e6Ccnk3Lm2IVYtq06k1qpl1fGpNfWJ1AJgcgo1XfJApjB1geR1d3fPdgsAOS25KvcEp4iI7DtDM9AJAAAwUQJO/+Suu+6KHTt2xLZt2+L2228v2Oc8/vjj8cMf/jBuvfXW2LJlSyxfvjz+8i//smCfB8WoGJ/odlOdUlZdWT7bLXzApfWRF0dGZ7sVSsjC8gXx4L3roqZqev9O11SVx4P3rpvy6lIApqdQ0yXf6nOTEYrVbwaastns7DQCMEFLq/NPcOoZMMEJAEjGq2f7Yu9PMvGv/uEf46tP/jL+1T/8Y+z9SSZePds3261BSamY7QaKxeHDh6OsrCzGxsbi8OHD8Vd/9Vfx+c9/Puc1J06ciI6OjvjFL34Rq1evjubm5rj++uvzflZzc3M0NzfH22+/HQ8++GD8yZ/8SXz/+9+P9vb2qKurS+hXBMWrkE90T3Ut3KWb6lsfPRT9g1OfhuOmOrOhvrZqtlu4okvrIzff3DjbrVBCbmxYHA+3rI8v73thStPJaqrK4+GW9XFjgzWhALOlUNMl+4eGC1IXmJ5du3Z9IND00EMPRXNzc6RSqVnpCSCfJVdNYEXdgHA1ADB1Q8Oj8dRLZ+K7B07GwRNXnnL7jR+8HLdfvyw+u2lV3H3LiqiscH8RchFw+if33XdfPPHEE1FWVhYR+Z80+9f/+l/Hn/7pn37g9XQ6HX/0R38UW7ZsyRtWWrJkSezcuTO2bdsWmzdvjubm5jh48OCUfw0UpwMHDkzr+iNHjiTUSfEo1ie63VSnVG1KL49vPv36bLdxRU8cfkPAiUlrWrU09v7hxvjak0fiZPfAhK9btaw6Hrx3nT+HAWZZoaZL1lT6EQbMph07dkRHR8flr7u7u9/39Xt1dHTE0qVLI51ORyqVimXLll1+b9++fYJPwKyrKF8QdYsqovfC+AHqnn4BJwBgal5+sze+9L2OyHT15z178ER3HDzRHen6mnjk/qZYu8JAFBiPnw7+k7/6q7+KiIgnnngiVq9eHVu3bh337BNPPBE7duy4/PWlUNTY2FgcO3Ystm/fHtu3b4/m5uZobW2Nz3zmMznDTul0Ovbv3x8bN26Mv/zLv4wvf/nLCf2qKAYf//jHZ7uFolPMT3S7qU4pStcvjltXphJf/ZiES+sjpzpdjfnrxobF8diWj8WPjnbFE4ffiOdy/Pt928pU3LfhuvjUmnoT9ACKQKGmS15dW1mQusDEdHR0RHt7++Vw0rJlyyKdTue9LpPJRCaTiYh3Hyjs7u4WcAKKwtKaytwBJyvqAIApeDZzLj7/nUNxfnBy9y0zXf3R+q0DsfdzG+OO9PICdQelTcDpnyxZsiT27ds3obMPPfRQRLy7aq67uzsymczliU/vDTu1t7dHe3t7bNu2LVpbW2Pr1q3xu7/7u1esmU6n40//9E/jb/7mbwScmPOK/YluN9UpRfc1XVuUAaeI6a2PZH5bWL4gNt/cGJtvboxM1/k4kDkXb/UNRf/QcNRUVsTVtZWxKb3cv18ARaZQ0yU3+eEezKr9+/fPdgsAiUpVV8bJc+M/4GhFHQAwWS+/2TulcNMlfYPDseU7h2LfFzaZ5ARXIOA0BR0dHbFnz574/Oc/f/m148ePx759+2LPnj2Xn0q7ZGxsLPbt23d5BPcf/MEfxNatW+PWW29937nVq1ePO9ob5pJSeKLbTXVKzZ1rG2LVT49PavLYTJnu+kiIeHdSmT9zAUpDIaZL3rYy5b8DAECiUlctzPm+CU4AwGQMDY/Gl77XMeVw0yV9g8Pxxcc64qk//kRUVhiuAO8l4DQF6XQ63n777fe9dsMNN1xeTffcc8/F3/zN38TevXsvT3aKeDfo1NPTE7t3747du3dHKpWK5ubm+OhHPxoREbt3757QaG8odaX2RLeb6pSCheUL4sF718XWRw9F/2Bh1kBOVRLrIwGA0pL0dMn7NlyXWC0AgIiIpdW5A07ZdwScAICJe+qlM5Hp6k+kVqarP3740pm4Z/01idSDuULAaQruuuuu+Pa3vz3uKrnbbrstbrvttti5c2c8/fTT8e1vfzueeOKJ9525FHZqa2uLtra2y6/v3LmzoL0z8372s59N6/ojR47Etm3bEuqmOHiiGwrjxobF8XDL+vjyvhdiYGjyIaeK8rIYHhlLvK+k1kcCAKUjyemSq5ZVx6fW1CfQFQDAP0tV554Gb0UdADAZ3z1wMtF6jz57UsAJfoM7jlOwa9euuOGGG+Luu++Op556KufZu+66K+66666IiGhra4s9e/ZEe3v75ffHxv75RvKGDRviK1/5SmGaZtZs2rRptlsoSp7ohsJoWrU09v7hxvjak0cmdUNx1bLq+E9uvDq+d/BXifeU5PpIAKA0JDVdsqaqPB68d10sLDeSHQBI1tI8AaceAScAYIKOnumLgye6E6158Hh3vHq2L25qrE20LpQyPyGcgiVLlkR7e3scPHgwbrrppnjmmWcmdF1LS0v8h//wHy6vqWtpaYmmpqZoaWmJ3bt3xy9+8YsCdw7F4861DbFqWXUitTzRDe93Y8PieGzLx+LPf//DcdvKVM6zt61MxZ///ofjsS0fi3vWf6gg/RRqfSQAUNwuTZesriyf0vU1VeXxcMv6uLHBpFYAIHlLa/KsqOu3og4AmJifvNpVkLo/PlqYulCqTHCaoqampshkMtHa2hp33XVXbNiwIf7oj/4oWltbo66uLue1S5YsiS1btsSWLVtmqFsoPp7ohsJaWL4gNt/cGJtvboxM1/k4kDkXb/UNRf/QcNRUVsTVtZWxKb38fasdrY8EAJI2nemSD967TrgJACiYfCvq+gaH4+LIqJ87AgB5nem9UJC6ZwtUF0qVgNM0pFKp2L9/f3R0dMRDDz0UW7Zsia1bt8b27dvjoYcemu32oOhdeqL7y/teiIGhyYecPNENE5OuXzzhkJH1kQBA0i5Nl/zR0a544vAb8VyO7zVuW5mK+zZcF59aU+9mIgBQUEurc09wiojIDlyM+tqqGegGAChlA0PDBanbX6C6UKoEnBLQ1NQU+/bti7fffjsef/zxSKfTs90SlAxPdENxuXNtQ6z66fFJ/X4cj/WRAMAlU5kuCQBQSKmrck9wiojIDgwJOAEAeVVXFiZ2UVOgulCq/I5I0KXVc8DkeKIbiof1kbPr0g3frr7BGBgaierK8qivrXLDF4A5ZTLTJQEACiU1kQlO71ycgU4AgFK3om5RQeo2FqgulCoBJ6AoeKIbiof1kTPr4shoPPNKZzzRcXrc9YDffPr1uHVlKu5rujbuXNsgOAYAAADTtLQm/wSnnv6hGegEACh1n1xTH9/4wcsFqQv8s3kVcDpx4kS0tbXFuXPn4qMf/Wjce++9s90ScAWe6IbZZ33kzHitsy++/uSLE/rf+PlT2Xj+VDZW/fS4/40BAABgmmoqy2NheVlcHBkb90x2wAQnACC/a1NXxeKqijg/OJxYzdtvWBY3NdYmVg/mgnkTcHr66afj937v99732oYNG+LgwYOz1BEAFDfrIwur42TPlKZkneweiK2PHoqHW9ZH06qlBeoOAAAA5raysrJIVVdGV9/guGd6BkxwAgBye2doJP4f/+svEg03RUQ8cMeqROvBXDAvAk5vv/12bN68+QOvHz58OL74xS/GI488MgtdAUDxsz6yMF7r7JvyCsCIiP7BkfhK2wux54GNJjkBAADAFC2tXpgn4GSCEwAwvgsXR2LLXx+Knx/vTrRuur4mPn3LikRrwlwwLwJODz30UERENDc3R3t7e5SVlUVExNjYWHz/+98XcAKACbA+MhkXR0bj60++OOVw0yX9gyPxtSePxGNbPmZqFgAAAExBqroy5/tZE5wAYF579Wxf/PhoV5zpvRADQ8NRXVkRK+oWxSfX1Meq5dXxR989HP+/199K9DNrqyrikfuborLCz/3hN82LgFN7e3u0trbG1q1bo729fbbbAQDmsWde6YyT3QOJ1DrZPRA/OtoVm29uTKQeAAAAzCepqxbmfD9rghMAzDtDw6Px1Etn4rsHTsbBE1eezPSNH7wcqasWRvadZL9XqK2qiL2f2xhrV9QlWhfminkR+8tkMpFOp+Ouu+6Kv/iLv4ixsbEYGxuLiIitW7fOcnckrbs72RGAAJCkJzpOJ1vv8BuJ1gMAAID5YmmeCU49JjgBwLzy8pu9cff//JP47/79c+OGmy5JOtx0w9U1se8Lm+KO9PJE68JcMi8mOGWz2Vi+/N0/CLZv3x6tra3R0dER6XQ6brvttlnujun6zUBTNpudnUYAII9jnefj+VPZRGs+dyobma7z1gcCAADAJKVqTHACAN71bOZcfP47h+L84HBiNZfXLIyVy2omdF/goXvXmdwEecyLgFM6nY5jx45d/vqGG26IG264YRY7Iim7du36QKDpoYceiubm5kilUrPSEwCM59nj5wpS90DmnIATAAAATJIJTgBAxLuTm5ION12zZFF8f9umWLmsOg6f6In7vv2znOePdZ03vQnymBcBp6ampjh06NBst8E07NixIzo6Oi5/3d3d/b6v36ujoyOWLl0a6XQ6UqlULFu27PJ7+/btE3wCYNZ09Q0WpO5bfX7gCgAAAJO1tDr/BKexsbEoKyuboY4AgJk2NDwaX/peR6Lhpsa6qvjeljti5bLqiIjYcP3S+NCSRfHm2xfGvebomb7EPh/mqnkRcPrMZz4Tf/AHfxAnT56MVatWzXY7TEFHR0e0t7dfDictW7Ys0ul03usymUxkMpmIeHd1XXd3t4ATALNmYGikIHX7h5L7ixcAAADMF6k8E5yGRkZjYGgkaqrmxa0UAJiXnnrpTGS6+hOrV1tVEd/bckdcf3XN+15fs6I2Z8DplTcFnCCfefFdeUtLSyxZsiR27NgRf/M3fzPb7TAF+/fvn+0WAGDaqivLC1K3pnJefEsHAAAAicq3oi7i3TV1Ak4AMHd998DJROtdf3VNrK5f/IHX166oix8d7Rr3upfP9JocCXnMm+/KH3/88fi93/u9+IM/+IP4r//r/3q22wGgSGW6zseBzLno6huMgaGRqK4sj/raqtiUXh7pK3xDCpNRX1tVkLpX1+b/gSwAAADwfqk8K+oi3l1Td93SGWgGAJhxR8/0xcET3YnWPHL67Xj1bF/c1Fj7vtd/50O141zxrr4Lw/Hm2xfimtRVifYDc8m8CTg1NzfHli1boqWlJdra2oScALjs4shoPPNKZzzRcTqeP5W94plvPv163LoyFfc1XRt3rm2IheULZrZJ5oRN6eXxzadfL0hdAAAAYHImGnACAOamn7w6/kSl6fjx0a4PBJzWrMgdcIqIeOVMr4AT5DCv7s7u3r07fvd3fzdaWlriL//yL2e7HQCKwGudfXH/3p/Hn/3tS+OGmy55/lQ2/uxvX4r79/48Xu88PzMNMqek6xfHrStTida8bWXKdDEAAACYgtRVE1tRBwDMTWd6LxSk7tkr1E1fvTgWludeP/fKmb6C9ANzxbwKOEVE7N+/Pz7/+c/H9u3b4/bbb4+TJ5PdqQlA6eg42RNb//pwnOwemNR1J7sHYuujh6LjZE+BOmMuu6/p2mTrbbgu0XoAAAAwX1RWLIjFVbkXXWQFnABgzhoYGi5I3f4r1K2sWBCr8zys/MqbAk6Qy7wLOEVEfOYzn4kbbrghDh06FOl0Or74xS9Gb2/vbLcFwAx6rbMvvrzvhRgYGpnS9f2DI/GVthdMcmLS7lzbEKuWVSdSa9Wy6vjUmvpEagEAAMB8lG9NXY8VdQAwZ1VX5g46T1XNOHXX5llT98oZmQXIZV4FnJ588slYvnx5/N7v/V4cP348IiLGxsZi9+7dsXTp0vjt3/7t+MIXvhBPPvmkwBPAHHZxZDS+/uSLUw43XdI/OBJfe/JIXBwZTagz5oOF5QviwXvXRU1V+bTq1FSVx4P3rouF5fPq2zkAAABI1NLq3GvqrKgDgJn16tm+2PuTTPyrf/jH+OqTv4x/9Q//GHt/kolXzyY/3WhF3aLEa0ZENI5Td+2H6nJel+nqj8Hh6d27grmsMJHEIrR37974oz/6oxgbG4uIiLKysigre3fH5aXXjh07FplMJvbs2RMREel0Opqbm2PDhg3R3Nwc119//az0DkCynnmlc9Jr6cZzsnsgfnS0Kzbf3JhIPeaHGxsWx8Mt66c8RaymqjweblkfNzbkHmcLAAAA5JZvglPWBCcAKLih4dF46qUz8d0DJ+Pgie4rnvnGD16O269fFp/dtCruvmVFVFZM/+HfT66pj2/84OVp17lS3StZk2eC0/DoWBzr7I+br8kdhIL5al4EnI4fPx7btm27HGiKeDfUdOnr33z9kkuBp0tSqVQ0NzfH5s2bBZ4AStgTHaeTrXf4DQEnJq1p1dLY+4cb42tPHplU4G7Vsup48N51wk0AAACQgFSeCU5ZE5wAoKBefrM3vvS9jsh09ec9e/BEdxw80R3p+pp45P6mWLtiekGgmxpr4/brl40bqpqK229YFjc1XjnI9DsT6Pfo2V4BJxjHvAg47dy5MyLeDS81NzdHKpWKbDYbhw4dimw2+76z7w07Xbrmkp6enmhra4u2traIeDfwtHHjxsuBp1tvvbWgvw4Apu9Y5/l4/lQ20ZrPncpGput8pOsFTpicGxsWx2NbPhY/OtoVTxx+I57L8e/mbStTcd+G6+JTa+qtpQMAAICELM0zwanHBCcAKJhnM+fi8985FOcHhyd1XaarP1q/dSD2fm5j3JFePq0ePrtpVaIBpwfuWDXue411VZGqXphzQuQrb/ZF3JZYOzCnzIuA06FDh2L16tVx6NChWLJkyQfef/rpp6OjoyP279//gdBTvsBTe3t7tLe3X37tvROeBJ6ApGW6zseBzLno6huMgaGRqK4sj/raqtiUXi5cM0HPHj9XkLoHMuf8M2BKFpYviM03N8bmmxsv/x5/q28o+oeGo6ayIq6urfR7HAAAAArEBCcAmB0vv9k7pXDTJX2Dw7HlO4di3xc2TWuS0923rIh0fc2EJkjlk66viU/fsmLc98vKymJNY238/Pj4gaqXz/RNuw+Yq+ZFwKmjoyN27NhxxXBTRMRdd90Vd911V/zJn/xJRLy70q69vT32798f7e3tEw48RcQHAk/btm2LRx55JKFfCTAfXRwZjWde6YwnOk6PO3nom0+/HreuTMV9TdfGnWsbTHfJoatvsCB13+rzwy6mL12/WJAJAAAAZpAJTgAw84aGR+NL3+uYcrjpkr7B4fjiYx3x1B9/IiorpnZvrLJiQTxyf1O0futA9E2jn9qqinjk/qa8ffzOh+pyBpyOnumdcg8w182LO+DpdPoDq+hyueGGG2LLli3x+OOPR3d3dxw7dix2794dLS0tsWTJkhgbG7v8f2VlZe/7v/e+NzY2Frt3744vfvGLhfvFAXPaa519cf/en8ef/e1LedeqPX8qG3/2ty/F/Xt/Hq93np+ZBkvQwNBIQer2D03vm3AAAAAAZt7SPBOcei9cjJHRsZxnAIDJeeqlM4lMTIp4d13dD186M60aa1fUxd7PbYzFVVObD1NbVRF7P7dxQpOk1qyozfn+2d7B6On3UD1cybwION11113x+OOPR1/f1Ma5jRd42rp1a9xwww15A0/f//73E/4VAfNBx8me2PrXh+Nk98CkrjvZPRBbHz0UHSd7CtRZaauuLC9I3ZrKeTEUEQAAAGBOSeWZ4DQ2FvH2O6Y4AUCSvnvgZKL1Hn12+vXuSC+Pti9sioXlZfkPv0e6vib2fWFT3JFePqHza/MEnCIiXrGmDq5oXgScdu3aFT09PbFhw4Y4eXL6f7hdCjx9+9vfjtdffz16enpi3759Vww8Rbw7QQpgMl7r7Isv73thytOG+gdH4ittL5jkdAX1tVUFqXt1be6n/QAAAAAoPqk8E5wiIrIDpigAQFKOnumLgyfGX9E2FQePd8erZ6cfCromdVVcHJnY5Mbbb1gW//Zf3hZP/fEnJjS56ZKbGmujLE+G6hVr6uCK5kXAacmSJXHo0KF4/fXXI51Oxxe/+MU4ceJEovXvu+++9wWe9u/fHzt37ozt27dHe3t7Yp8FzH0XR0bj60++OO1Vav2DI/G1J4/ExZHRhDqbGzZNMEFfLHUBAAAAKJyleSY4RUT0DJjgBABJ+cmrXQWp++Oj06/7y1Nv5z3z39z+W/Ef/vtPxOPbNsU966+JyorJRS5qqirit5ZV5zzzypsmOMGVzIuAU0REU1NTvP766/G7v/u78e1vfztWr14dd999d/y7f/fvEg07RbwbeLrrrrviT/7kT+Iv/uIvYsmSJYnWB+a2Z17pnPRauvGc7B6IHyXwDd1ckq5fHLeuTCVa87aVqUjXL060JgAAAACFZ4ITAMysM70XClL3bAJ1n/tVT873y8oi/vQ/Xxs3NeZfM5dLvjV1ryQwjQrmonkTcIp4d1Xc/v3749ixY/GVr3wlDh48GFu2bInVq1fH8uXLE5/sBDAVT3ScTrbe4TcSrTcX3Nd0bbL1NlyXaD0AAAAAZkbdooooX5B7T4wJTgCQnIGh4YLU7U+g7vOnsjnf/+2GxVG3KP/0x3zW5Flp9+qZvhgdndiqPJhP5lXA6ZIbbrghdu7cGd3d3XH48OF46KGH4vrrr49vf/vb0dbWNtvtAfPYsc7zeb95mqznTmUj03U+0Zql7s61DbEqz/jPiVq1rDo+taY+kVoAAAAAzKyysrJIXZX7RqUJTgCQnOrKioLUrZlm3bGxsXguzz26pDaE/E6eCU7vXByJXyW07QXmknkZcHqv2267LbZv3x6HDx+O0dHR+MpXvjLbLQHz2LPHzxWk7oFMYeqWqoXlC+LBe9dFTVX5tOrUVJXHg/eui4Xl8/4/pwAAAAAlK1WdO+DUI+AEAIlZUbeoIHUbp1n3V90D0d2f+7/5t/3W0ml9xiVrP5R7glNExCtnehP5LJhL3JEFKCJdfYMFqftWnx/C/KYbGxbHwy3ro7pyaiGnmqryeLhlfdzYsDjhzgAAAACYSUurK3O+b0UdACTnkwXaijHduhPZsHLbb6Wm9RmX/Nay6li0MHdU4+U3+xL5LJhLBJwAisjA0EhB6iaxd3gualq1NPb+4cZJr6tbtaw69jywMZpWJZPUBwAAAGD25Jvg9LaAEwAk5qbG2rj9+mWJ1rz9hmVxU2PutW/5PPerbM73ayrL47cbpvcZl5QvKIs1efo9ekbACX5TYRZcAjAlU50mlM909w7PZTc2LI7HtnwsfnS0K544/EbO/cq3rUzFfRuui0+tqbeWDgAAAGCOSOWd4GQ6OgAk6bObVsXBE92J1XvgjlXTrvHcr3pyvv+R61JRvqBs2p9zyZoVtfHCG2+P+74VdfBB7ngDFJH62qqC1L26NvcPaea7heULYvPNjbH55sbIdJ2PA5lz8VbfUPQPDUdNZUVcXVsZm9LLI11vHR0AAADAXLM0zwQnK+oAIFl337Ii0vU1kenqn3atdH1NfPqWFdOqceHiSPzjm7kDRUmtp7tk7Yq6nO+f7B6IgaHhqDbEAC7zuwGgiGxKL49vPv16QeoyMen6xYJMAAAAAPNIvglOWROcACBRlRUL4pH7m6L1Wweib3B4ynVqqyrikfuborJiels3Xvp1b1wcGct55taVqWl9xm9a+6HcK+rGxiJePXs+8c+FUma/DkARSdcvTvwbldtWpgR2AAAAAGAcS62oA4AZt3ZFXez93MZYXDW1mSy1VRWx93Mb805Cmoh86+kiIm6d4QlOERGv5JkqBfONgBNAkbmv6dpk6224LtF6AAAAADCX5FtRd+HiaFy4ODJD3QDA/HFHenm0fWFT1C2aXMhpyVULY98XNsUdCW0wef5UNuf71y29KhpqFyXyWZcsq6mMhtqqnGdeOdOX6GdCqRNwAigyd65tiFXLqhOptWpZdXxqTX0itQAAAABgLsq3oi7CFCcAKJS1K+omPR3p2qWLEpncdMlzv8rmfL9Qa+LWrMi9pu6VMyY4wXtNbd4bAAWzsHxBPHjvutj66KHoH5z6k2E1VeXx4L3rYmG5LCsUWqbrfBzInIuuvsEYGBqJ6sryqK+tik3p5VZEAgAAQJFL5ZngFBGRHbgYH1py1Qx0AwDzzxvd70zq/Mtv9kV2YGhCIeV8OvsuxOls7s+/7beWTvtzruR3PlQXP33trXHfP3qmL8bGxqKsrKwgnw+lRsAJoAjd2LA4Hm5ZH1/e90IMDE0+5FRTVR4Pt6yPGxsEK6BQLo6MxjOvdMYTHafHHV/7zadfj1tXpuK+pmvjzrUNAocAAABQhJaa4AQAs2ZkdCxO9QxM6pqxsYhnM91x94dXTPvzn88zvSki4rZJTpiaqLV5Jjj1DFyMzr7BaKxLdj0elCp32QCKVNOqpbH3DzdOel3dqmXVseeBjdG0qjBpciDitc6+uH/vz+PP/valvLu5nz+VjT/725fi/r0/j9c7z89MgwAAAMCETXSCEwCQvDffficujoxN+rqfHRt/8tFkPJfnZ/wLy8vi5g8ltw7vvfKtqIuIePlNa+rgEgEngCJ2Y8PieGzLx+LPf//DcVue/b63rUzFn//+h+Ox/z97/x7V1p3mCb9fIRBY4iIJC0hswAjHppy4bQS+kJnJzTDOmZm8nbZx0tVOKu+8HSBJzao6c6piV5KTc9Y5XeWUE3d3VfqdJJjU25NyXOk22HXS05NJAs6tuoPtAtmuxOUbCDB2jJGRBEJcdTl/uEQBRnvrsreu389aXgG09eyfCCBp7+9+noYt7NxEJCPzgB2Nv+zGgC20K0oGbBNoPNQF84BdppURERERERERUTiyMpRYlqEU3IYdnIiIiORxZSS0Y+1+X/aOSLL/01eEj9mvuzMPWSKvE8K1uiAbyjTh8XMXh5yy7JsoEXFEHRFRnMtQpqFuXSHq1hXCYh1Hp2UEN50zcM24oVGlY3mOCjXGfBgNDDURye3ysDPs0ZEA4Jr24IdtZ3HwyWoGEYmIiIiIiIjiiE6dgcnRwO/3I+ngdOmGE59ftGJobAoTM26oVekoys3C/WsNWFMo3rmBiIgomV0J8WJiv57hcQyPTaEggvFtHq8Pv7s6KriNWAOCSGSmK2FcrsFlgekPFxhwIprDgBMRUQIxGrIZZCKKkVmPFy8d+zrscJOfa9qDF499hcMNW5ChZDNNIiIiIiIionigVavwzehUwNvtrtA6OM24vfjw3BDe7RzAqX7bktv85IPz2LxKjydqSvHw3UVQpfM4ARERpZ5QpyXM12kZwZ9uXBH2/S/dcIoe868s0YZdPxgVd+Qy4EQUJL5aJiIiIgrCpxeGI3qjNd+AbQKfXbRKUouIiIiIiIiIIqfTZAje7pgMvoPT+etjePjnX+B7750OGG7yO9Vvw/feO42Hf/4FLgyNBb0PIiKiZBHuiDoA+LInsjF1p684RLepLNZFtA8xFUXC3Rx7hp2Y9XhlXQNRomDAiYiIiCgIR83XpK3XfVXSekREREREREQUPu0yleDtjongOjidsIxg11udsFhdIe3fYnVh15udOGGJ7EQtERFRohmwhfacOd+XlpsR7fvMoF3w9nyNCsX6ZRHtQ4xYwGnW4wv5dQVRsmLAiYiIiEhE7/A4zgw6JK15etABizVw21kiIiIiIiIiih6tWriDk31CvIPT+etjePqdLoxPu8Nag3PajYZ3utjJiYiIUobP58NABB2cBm2TGIxg8oJYB6eNxVooFIqw6wej4o5c0W342oDoFgaciIiIiESc6JPn6slOXpVJREREREREFBd0auEOTnaRDk4zbi+++ytz2OEmP+e0G88dNmPGzVE0RESU/BwTs3BORfbc2dkb3nH2salZ9IhchFxZog2rdijuzMtCTla64DYXhpyyr4MoETDgRERERCTC6pyWpe5NZ3Dt7YmIiIiIiIhIXmIdnBwiHZw+PDck2fgYi9WFj84NSVKLiIgong1E0H3J78ve8MbU/W5wFD6f8DaVJbqwaodCoVCIjqm7yIATEQAGnIiIiIhETcx4ZKnrmonsyhQiIiIiIiIikoZYByfHxAy83sBnQd/tHJB0PYdOSFuPiIgoHl0JIuAk1kXpy94R+MSSSks4fcUueLtCAfzJyryQ64ajokh4TN2F6xxRRwQw4EREREQkSq1SylJXoxJuO0tERERERERE0aHTCHdw8voQcITOxSEnTvXbJF3PqT4bLt1gtwYiIkpuV0aEux/mZqXjP9xzh+A2w85p9IbRRfH0oEPw9rsKspGTJfz6QCprRTo4fTM6hVGRbpJEqYABJyIiIiIRhpxMWeouzxG+OpSIiIiIiIiIoiNvmfh7dMfk0qPmv7hklXo5AIDPL8pTl4iIKF4MjAh3cCrN16CmPF+0Tqhj6nw+H86IBJwqi+UfT+f3rTuEA04AcJHBZyIGnIiIiIjE1BjF30DFU10iIiIiIiIiCo1OLd6hwR6gc8LQ2JTUywEA3JCpLhERUbwYEBlRV5Kvxro7cpG3TPh5+suekZD2e8U2AZtr6eCy30aR0XhSWlMoHnC6MMQxdUQMOBERERGJMBqysbFYK2nNymItjIZsSWsSERERERERUXh0avEOTvaJpU+ETswsPbouUi6Z6hIREcWLKyIdnEr0aqSlKUQvFu60jMDr9QW939NXHKLbVEYx4JSTlYGVumWC21wYYgcnIgaciIiIiIKw07RC2npVKyWtR0REREREREThy12WAYVCeBtHgICTWpUuw4oAjUx1iYiI4sHUrEe0C2KpXg0A+DerhQNOo5Oz+P314DsciY2n06iUuKtAvKuSlCqKcgVvvxDC4yNKVgw4EREREQXhwYqCuTdTkSrVq/HAWoMktYiIiIiIiIgocso0hej4G7tr6RF1RblZciwJhTLVJSIiigdX7cLdm4BbI+oAoKZ8uei2nb3Bj6k7fcUuePufrNRCmSaSfJZYRZFwoOrikDOkLlVEyYgBp0U++eQTPPvss9i+fTvuuusu5OfnQ6lU4q677sKmTZvw+OOP48CBA+jv74/1UomIiCiKMpRp2LdjPTSZyojqaDKV2LdjPTKUfBlGREREREREFE/ExtQF6uB0v0wXMclVl4iIKB4MiIynA4DSfA0AoNygQUFOpuC2X/beDGq/U7Me0W5P0RxP51dxh3DAyTXjwTXHZJRWQxSfeGYNt0JN27dvh1KpRF1dHQ4ePIiOjg709vbCbrfD5/Oht7cX3d3daGtrw969e1FeXo78/Hz89V//dayXT0RERFGyuiAbB+o3QK0KL+SkyVTiQP0GrC7IlnhlRERERERERBQprVqkg9PE0h2c1hTmYPMqvaRr2Vymx5rC6I7GISIiiiaxgJNKmTbXJVGhUODecuExdaf6bJj1eEX3e+6bMcx6hDshVZboROtITayDEwCc55g6SnEpHXA6c+YMNm3ahLq6OnR0dMDn8y34p1AoFvwDsOB2u92OPXv2ID8/H7/4xS9i/GiIiIgoGkylOrR8pzrkcXWlejUOPlkNU2n03xgRERERERERkTityIg6x+TSAScAeKKmVNK1PLlV2npERETx5opNOOC0Ur9swZi4e0XG1LlmPPjd1VHR/YqNpwOAjcVa0W2ktipfA1W6cHzj4pAzSqshik8pG3B64YUXUFVVBbPZLBhomm/x7QqFYi7o1NjYiIcffhhjY0xNEhERJbvVBdk43LAFP370HlSKvNGpLNbix4/eg8MNW9i5iYiIiIiIiCiOhTuiDgAevrsIRoNGknUYDRpsv7tIklpERETxamDEJXh7yaKLjGtEOjgBQGcQY+pODzoEb1+pWwaDyDg8OaQr07CmUPgcwgUGnCjFpcd6AdE2OjqK2trauWATgNvCTP6vL2XxtvM7O3388ccwGo3o7u5GaSmvriAiIkpmGco01K0rRN26Qlis4+i0jOCmcwauGTc0qnQsz1GhxpgPo4GhJiIiIiIiIqJEoBUJONkFAk6q9DS8sduER//bv2JqVnw8TiA5mel4Y7dJtIMDERFRohsQ6eC0eIpCsV6NYv0yDNomA97ny94R/JeH7hKse+aKQ/D2WIyn81tbmIuvrwVuqHJ+iM1WKLWlXMBp27ZtMJvNABaGleaHmmpra6HVamE0GpGfn4+RkRE4HA5YLBZ0dXXB4XDcdn9/NyebzYaqqir09fUhJ4fzsYmIiFKB0ZDNIBMRERERERFRgtOphUfU2V2BR9QBQEVRLozLNfj99fC6K+RkpqPlqWpUFOWGdX8iIqJE4fH6cFUgqAQAJfm3d0a817gc/2gbDHifrgE7pmY9yMpQLnn78NgUrjmE9xuL8XR+37pDOF/Qf9Ml+PiIkl1KBZy2b98Os9m8ZLCpsbERTU1NqKysFK3T19eH9vZ2vPrqq7BYLHP1/P/1h5wuXbokw6MgIiIiIiIiIiIiIiKpaTXhj6gDgF7reNjhJqNBgzd2mxhuIiKilHBjbAozHuGOh4s7OAHAvavz8Y9dgQNOM24vzAN23Lt6+ZK3i42nA4DKEq3oNnJZWyQccPL6gMs3xrF+ZV6UVkQUX1Kmx+lrr72G9vb228JNtbW1sNvteOutt4IKNwFAWVkZGhsb0dPTg48//hh5eXm3jbXr7e3Fc889J+ljICIiIiIiIiIiIiIieYh1cHLNeDDjDnwy9h9OXQlrvxuL8/Dh9+9juImIiFLGwIjweDoAKM2/PeBUY8wXvd+XvSMBbzsjEnBSKdNw952xez4O5rXABY6poxSWEgGn0dFR7N27dy7c5A8j7d+/fy6gFK7a2lpYLBZs27Ztrq5/XF1zczMGBgYifwBERERERERERERERCQrnVq4gxMQuIvT1KwHbd1Xw9qv2+uDKj0lTtcQEREBAK7YXKLbFC/RwakgNwurC7IF7/dl782At52+Yhe877fuzEVmeuzGvxlyMrE8W/j1yIWh8LpFEiWDlHjF3NDQMPexz+eDQqHAnj178Pzzz0tSX6vVor29fUHIyb+vpqYmSfZBRERERERERERERETyyVsm3MEJAByTs0t+/aNzQ7BPLH2bmCtBdLEgIiJKJmIdnIpys5CVsXTQ6N+UC3dxOnt1FOPT7tu+7vH68Luro4L3rSzWCt4eDWJj6tjBiVJZSgSc2tra5roqKRQKmEwmvPLKK5Lvp7W1FVqtFgDmukW1t7djbIx/ZIiIiIiIiIiIiIiI4plOI97Bye5auoPTr06GN54OAMam3BgNMxxFRESUiAZswgGnkiW6N/nVlC8XvK/H68Nv+2y3ff3SDScmZjyC960s0QreHg1iY+ousoMTpbCkDzgdPXr0tq+1tLTIsi+tVouf/vSnC7o4AcCRI0dk2R8REREREREREREREUlDpxbv4LRUl6ae4XGcXOJEaigG7eziREREqUOse2FJfuCA01ajHn/oNRLQUmPqTl9xiK7LVKIT3UZuYh2cbo7PwOqcjtJqiOJLeqwXILd//Md/XPC50WjExo0bZdtfY2MjnnnmmQVfa29vx9NPPy3bPomIiIgoOBbrODotI7A6pzEx44FapYQhJxM1xnwYDcKz24mIoo1/s4iIiIiia1mGEqr0NMy4vQG3cUzc3sHpH06F373J74ptAvesyIu4DhERUSIYGHEJ3l4q0MFJq1bh7jtz8fW1wFOUvuwdue1rp6/YBfeZr1FhpW6Z4DbR8C2RDk7ArS5OhpzMKKyGKL4kfcDJYrEAwNx4utraWtn3WV9fv2Asnn8NRERERBR9sx4vPr0wjKPmazgz6Fhym9eP92BjsRY7TSvwYEUBMpRJ3+iUiGQWbjiJf7OIiIiIYkehUECnzsCNscBdERZ3cJqa9aDNfFWwbmZ6GtIUCkzOBh6Lc0VkVA8REVGyGJ2YxdiUW3AboQ5OAHBv+XLBgNPvr4/B7ppZMH420HEWv8oSLRRiraGi4K7CbKQpAK8v8DYXhsbwb+8SHtVHlIxSIuDkDxoBQFVVlez7NBqNt62BiIiIiKLv8rATLx37WnSmO3DrDe6ZQQdKf9OHfTvWY3UBu6MQUWgiDSfxbxYRERFR7OnUKsGA0+IOTh9+PQTHEmPr5vuPf3IHzl934vz1wCdiBxlwIiKiFDFgE+7eBACl+RrB22vK83Hwi8Dn4H0+4GTfCB6+5w4AwOjkLC4PjwvWrIyD8XQAkJWhxKrlGlisgb9P5687o7gioviR9AEnh8OxIGmp1+tl32d+fv5tayAiIiKi6DIP2PGD1rOYmAl8hexSBmwTaDzUhQP1G2AqjY83tUQU/yINJ8n5N4uj7gLj94aIiIgW06ozBG9fHGb6VRDj6XZvKUHz5xbBgBM7OBERUaoYGBF/zhMaUQcAm1bpkZ6mgFugzdGXvX8MOP3uqkN0nxuLtaLbRMu3inIFA04XbwR+TUGUzJI+4GQ0GtHX1zf3uc1mk32fvb29Cz7XarWy75OIiIiI/ujysDOsoICfa9qDH7adxcEnq9kVhYhERRpO+r9vuwt/23FZ0r9ZHHUXGL83REREJES7TCV4u31eB6eeYSdO9Qmfc1hTmA1TiQ4lIidq2cGJiIhShVioNycrXTRwnJ2Zjg3FWnQP2ANu8689N+c+PnPFIVhPoQD+ZGWe4DbRVFGUg//51fWAt1+6MQ63x4t0Hq+gFJP0P/FarXZuPB0AdHd3y77PxSPpFo+sIyIiIiL5zHq8eOnY12EHBfxc0x68eOwrzHq8Eq2MiJKRFIHKff/rgqR/sy4PO7G75SRefv9cwACP35lBB15+/xx2t5xEj0ir9mTA7w0RERGJ0WmC7+D0q5ODovX+YnMJFAoFSvKFA07XHJPwCHShICIiShYDI8Ij6kr06gUTmgK5tzxf8PZeqws3xqYAAKdFjgGsKchBTpbwa4BoWluUI3j7jNuL/iA6YRElm6QPOFVXVwMAFAoFfD4fjhw5Iuv+RkdH0dHRMbc/hULBgBMRERFRFH16YTioEVHBGLBN4LOLVklqEVHykSpQ6ZPoPNaAbQJ//6/9aPxld8h/B/3dpMwCVz4mOvOAnd8bIiIiEqVVB9fBaWrWg6Pmq4LbZqan4c9MKwEAxSIdnGY9Pgz94SQsERFRMhMbUVcqEgr2qxEJOAFAZ+8IfD4fTl8Rfk8fT+PpAOBbd+SKbnNhiGPqKPUkfcBp165dCz53OBz49a9/Ldv+Dh48eNvXHn/8cdn2R0REREQLHTVfk7Zet/ABayJKXVIGKqXy9//aF/Gou2TsViTV6NJk/N4QERHRQjqRkTj2P3Rw+l9fX8fo5Kzgtv/pT+5E3rJb9Yp14idrr7ATAxERpQCxsawlek1QdUwlOmSmC8cdvuy9iSu2ibnn70AqS7RB7TNaVmiXQaNSCm5z4bozSqshih9JH3Datm0btFotgD92cdq7d68s+xodHcXevXtva5m3Y8cOWfZHRERERAv1Do+LjhwK1elBByxWntAmottJHaiUQqRTTZJxPCdHlxIREVEoxDo4OSZm4PP58F4w4+m2lMx9vFK3THT7QTsDTkRElNym3R5cF+lYGGwHp6wMJapX6QS3+bJ3BKevOERrVZYI14m2tDSF6Ji6C0MMOFHqSfqAEwA0NDTAN6/nf29vL/78z/9c0n2Mjo7OjcMDMDeerr6+XtL9EBEREVFgJ/pGZKnbaZGnLhElLjkClfEiUcZzWqzjOHxyAD/ruIR9H5zHzzou4fDJgdtCqRxdSkRERKHQiQSc3F4fzgw6cKrfJrjd2sIcmOZ1g8jKUKIoN0vwPmIdLYiIiBLdoG0SPpGLs0pFxrrOd2/5csHbr9on8U9nvxHcRqNSYnVBdtD7jJYKkTF1HFFHqSg91guIhhdffBEtLS0YHR2d6+LU2toKvV6PN954I+L6/f39qKurQ29v723dm1paWiKuT0RERETBsTqnZal70zkjS10iSlxyBSrjxdHuq6hbVxjrZdxm1uPFpxeGcdR8LWDA7PXjPdhYrMVO0wo8WFEgy+jSePzeEBERkTS0IiPqAOCNz3pFt/mLLSW3nS8o1i/DkEDXiisMOBERUZK7YnOJblMSZAcnAKgpzxfd5pMLw4K3byjWQpmmENwmFipEOjhdtU/COTWLnCzx1y5EySIlOjjl5eXh4MGDc12c/CGn5uZmbN68GWfPng279muvvYby8nJYLJa5Nyv+7k0//elPkZsrnKwkIiIiIulEOn4oENeMW5a6RJS45ApUxot4HM95ediJ3S0n8fL750S7Z50ZdODl989h15udHF1KREREIdEFEXBq//0NwduzMtLwaOWK275eLNKRggEnIiJKdgMjws91GUoF7sgTH+vq9ycr8pCdGVlPl8p5HRfjSUWReM7g0g2OqaPUkhIBJwCor69fMKrOH3Lq6uqCyWTCpk2b8Itf/AJjY+Kt3D755BO88MILyM/Px49+9KMF4+/8tWtra/H888/L8liIiIiIaGlqlVKWuhpVSjQ+JaIQyBWojCfxNJ7TPGBH4y+7Qx41d12gQ0Ik4ul7Q0RERNLSioyoC8Z/+pM7kbfs9qBUiUjAadA2GfG+iYiI4plYwGmlTh1SN6V0ZRo2l+kjWtPGYl1E95fL2kLhDk4AcP46A06UWlLqTE1zczNsNhuOHj0KhUIxF3Ly+Xzo7u5GY2MjGhsbodVqYTQaodfrodVqAQAOhwMWiwUWi2Wu3vyw1PyvlZeX46OPPorqYyMiIiIiwJCTKUvd5TmRH+AmouQiV6AynsTLeM7Lw078oPVsXIXK4uV7Q0RERNLTLhFMCtVfbClZ8uvFOuGA083xaUzMuKHmRTZERJSkxLoVioWBl3Jveb7oGDohG4u1Yd9XTnnqDNyZl4VvRgNfvHVxiAEnSi0p9yq5tbUVu3btWhByAjAXdAIAu92O7u7u2+ZjL9WpafHtJpMJx48fl/EREBEREVEgNcZ8vH68R5a6RETzyRWojCfxMJ5z1uPFS8e+jqtwExAf3xsiIiKSR7oyDTlZ6XBOhfd8X1GUg8oAJ0pL8sVP2g7aJrG2SLxjAxERUSISCziVBvFcuVhNefjHbov1y+L6GE/FHbmCAacLQ+LTqYiSScqMqJuvtbUVb7311oJQkz/stFToyf9vqW3mb9fU1ISuri7k5eXF5HERERERpTqjIVvyK24qi7UwGrIlrUlEiS8Vgo/xMJ7z0wvDIY+li4Z4+N4QERGRfHQRjKn7iy0lt10c7RdMV4rBOHztQ0REJAWv1ydLB6dvFeVCqw6vA2O8jqfzEws9Xxhy3takhSiZpWTACQAaGxvR09ODnTt3Lgg6+S0OMy31hsR/P5PJhPb2drz55pvRWj4RERERBbDTtELaelUrJa1HRMlBjkBlvImH8ZxHzddivYQlxcP3hoiIiOSjC/Mk6bIMJR6tDPye1JCdCVW68GkZsRO/REREieqGcwozbq/gNqX5mpDrpqUpwr4QLVDXxXhRIRJwck65BTs8ESWblA04AYDRaERrayt6e3vR0NCAvLy827o2+YNPS329trYWra2t6OrqwrZt22L8aIiIiIgIAB6sKEBpGFf6LKVUr8YDaw2S1CKi5CN1oDLexLpLVe/wOM4MOmK6hkBi/b0hIiIieeWF2cHpkQ13IDcrcDgqLU2BYt0ywRoMOBERUbIaGBF/jgtnRB0A3BvmmLrKEm1Y94uWiqJc0W1+3nEJl244o7AaothjT3UAZWVlaG5uRnNzM/r6+tDW1obe3l7YbDZYLBY4HA4YjUZotVoYjUZs2rQJO3fujPWyiYiIiGgJGco07NuxHo2HuuCa9oRdR5OpxL4d65GhTOlrAohIwIMVBSj9TZ8kI9QUCiCSjuJpCsArYUfyeBjPeaJvJKb7DyQevjdEREQkr3A7OH17c4noNiV6NXqtroC3X7Uz4ERERMnpShABp2JdeAGnmvLlId9HqVBgdUF8v783GjRITwOEGl8d6bqKI11XsXmVHk/UlOLhu4tEO0YSJSoGnBYpKyvD888/H+tlEBEREVEEVhdk40D9Bvyg9SwmZkIPOWkylThQvyHu3+ASUWxJGaj8r7Vr8Dftl8L+m/V4dTH+r3/tD3sNi8XDeE6rczrWS1hSPHxviIiISD4zbi/sEzMh3+9bd+QGNcK4RKTjMDs4ERFRshqwBQ74AkBBTiaWqZRh1S43aKBXZ8A2MRv0fTw+H/70v/0r3thtCqpTUiz0DI8jTZEGQHi0HwCc6rfhVL8NRoMmrh8TUSQY3SMiIiKipGQq1aHlO9Uhj6sr1atx8MlqmEp1Mq2MiJKJP1CpDvMAnD9Q+ciGOyP6m/V//NuypBvPGU7YS27x8r0hIiIieZy/PoaHf/4Fvrh0M+T7/sXmYigUCtHtioMIOPkiae1JREQUp67YJgVvD3c8HQCc7LNhbMod8v0sVhd2vdmJE5b46yJ9wjKCXW91YsYjHm6aL54f01Iu3XCi5QsL/uqff48Xjv0Of/XPv0fLFxaO3aMlsYMTERERESWt1QXZONywBZ9dtOJo91WcHnQE3LayWIudVSvxwFoDx9IRUUj8gcoXj30V0ri6Ur0a+3asn+sWF+nfrGQbzxluaEwu8fS9ISIiIumdsIzg6Xe6MD4d+slRAFihWxbUdmIBp6lZL6zj0yjIyQprHURERPHqyohwB6cSvSasuuevj+Hpd7rg9oYXEHZOu9HwThdan62Jm65H/scU7uuSeHxM8824vfjw3BDe7RzAqX7bktv85IPzHLtHt2HAiYiIiIiSWoYyDXXrClG3rhAW6zg6LSO46ZyBa8YNjSody3NUqDHmw2jgODoiCp9UgcpI/mYl23hOQ05mrJcwJ96+N0RERCStSE8iAsD33zsT1ElEsRF1ADBom2TAiYiIko7YRWHhdHCacXvx3V+ZI3oOB24Fgp47bMaH378v5kGaZHxM852/Pobv/soMi1U48AaENnbv0g0nPr9oxdDYFCZm3FCr0lGUm4X71xqwpjBHyodAMcSAExERERGlDKMhm0EmIpKN1IHKcP5mSdVNKh7UGPPx+vEeyevemZeFb0angt4+Hr83REREJJ1on0QU6+AEAIO2CVRxbDoRESWR0clZOCZmBbcJJ+D04bmhoIIywbBYXfjo3BAe2XCnJPXClYyPyS/cjpn+sXstT1VjqzF/7uvsBJV6GHAiIiIiIiIiklgsA5XJMp7TaMjGxmItzgisP1SVxVr83V9UJvz3hoiIiKQT7ZOI2Znp0GtUsLlmAm5zJYSgOhERUSK4MiL+3BZMl8PF3u0cCGc5AR06MRDzMFAyPiZA+rF7cnWCovjGgBMRERERERFRkkmW8Zw7TSskDTjtrFqZNN8bIiIikkYsTiIW69WCAadBBpyIiCjJDNjEQyihBpwuDjkDdu0J16k+Gy7dcMZspFkyPiZA+o6Z/9//7W48827o9QJ1gqLEkRIBpwMHDsR0//X19Vi1alVM10BERERERInPH8awOqcxMeOBWqWEISeTYQwSlMjjOR+sKEDpb/pCGrcXSKlejQfWGhZ8LZG/N0RERBS5WJ1ELNYtw1mBEDc7OBERUbIZEOng5O9wGIovLlkjWVJAn1+0xiwMlIyPCZC+Y+bT73Rhyu0N6/6LO0FRYkmJgNOePXugUChitn+TycSAExERERERhWXW48WnF4Zx1HwtYCeb14/3YGOxFjtNK/BgRQHHaVHSyFCmYd+O9Wg81AXXtCfsOppMJfbtWM/fDSIiIlogVicRxTpUsIMTERElG7HnthK9OuTz+UNjU5EsKaAbMtUNRjI+JkD6jpnhhpv8/J2gPvz+fVCl81hRIkmp/1s+ny/q/4iIiIiIiMJ1ediJ3S0n8fL750THdJ0ZdODl989hd8tJ9AyPR2eBRFGwuiAbB+o3QK1ShnV/TaYSB+o3YHUBOzURERHRQrE6iSgWcLo+NoWZCE/cERERxROxDk6l+aGNpwOAiZnIxp0F4pKpbjCS8THJ0TFTCharCx+dG4r1MihEKdHByS/aXZwYcCIiIiIionCZB+z4QetZTMyE1rVmwDaBxkNdOFC/AaZSnUyrI4ouU6kOLd+pxovHvgppXF2pXo19O9Yz3ERERERLitVJxGKRgJPPB1xzTKJsuUbKZREREcWM2PjVkjACTmqVPFEHjUx1gxGtx3TphhOfX7RiaGwKEzNuqFXpKMrNwv1rDZKPspOrY6YUDp0YwCMb7oz1MigEKRVwktPiMFMsR+IREREREVFiuzzsDCvc5Oea9uCHbWdx8MlqBjsoaawuyMbhhi347KIVR7uv4rRAV7PKYi12Vq3EA2sNHEtHREREAcXqxKhYByfg1olgBpyIiCgZTLs9+GZ0UnCbUn3oz3lFuVnhLklQoUx1gyHXY5qY8WDG7cWH54bwbudAwI5KP/ngPDav0uOJmlI8fHeRJOPb5OqYKYVTfTZcuuGUPNRF8kmZgJPc3ZT8gSafzweFQoGysrK52/R6vaz7JiIiIiKi5DHr8eKlY1+HHW7yc0178OKxr3C4YQsDHpQ0MpRpqFtXiLp1hbBYx9FpGcFN5wxcM25oVOlYnqNCjTEfRgODfURERCQuVidG78jLgjJNAY838HkLsU4XREREieKqfRJip+qDCf8udv9aA37ywfkwVyVcN1bkeky/OnUF//y7bzA2Jd698lS/Daf6bTAaNHhjtwkVRbkR7VuujplS+fyilQGnBJISASevV55Z1X19fejo6EBrays6OjoWdG1qa2vDxo0bZdkvERERERElr08vDIc0gkvIgG0Cn120om5doST1iOKJ0ZDNIBMRERFFJFYnRtOVaVihXSYYYrrKgBMRESWJKyPiz2mlYYyoW1OYg82r9AG7EYVjc5k+pmEXOR6TXzDhpvksVhd2vdmJlqeqsdWYH/Z+5eqYKZUbcdxhim7Hy3gjUFZWhoaGBnz88cfo6upCbm4uFAoFfD4famtr4XQ6Y71EIiKipGSxjuPwyQH8rOMS9n1wHj/ruITDJwdgsY7HemlERBE7ar4mbb3uq5LWIyIiIiJKFv6TiFIK9sRosX6Z4O3s4ERERMliYMQleHt6mgJ35IXXVfGJmtKw7hfIk1ulrRcOqR9TJJzTbjS804ULQ2Nh15CrY6ZUXHHeYYoWYsBJIiaTCX19fcjLy4NCoYDdbsfevXtjvSwiIqKkMevx4uNzQ2g61I1vt5zE68d78N6pQbx/5hu8d2oQrx/vwbdbTqLpUDc+PjeEWY88HRyJiOTUOzyOM4MOSWueHnQwAEpEREREFECsToyKjeJhwImIiJLFFduk4O0rdcuQrgwvtvDw3UUwGjRh3Xcxo0GD7XcXSVIrElI+Jik4p9147rAZM+7wzrnEcuRfMDRx3mGKFmLASUJarRZHjhyBz+eDz+dDc3MzxsbCTzMSERHRLZeHndjdchIvv39O9MT/mUEHXn7/HHa3nETPME/oE1FiOdE3IkvdTos8dYmIiIiIEl2sTowWiwScBhlwIiKiJHHFJtzBqSQ//OdhVXoa3thtQk5mZCGVnMx0vLHbBFV67OMTUj0mKVmsLnx0biis+8rRMVNKhXHeYYoWiv1vaJKpra2FyWSa+7ylpSWGqyEiIkp85gE7Gn/ZjYEQD+wN2CbQeKgL5gG7TCsjosU4PjJyVue0LHVvOmdkqUtERERElOhidWK0WCcccBqbcmN0YjaiNREREcWDgRHhY/ulIqFfMRVFuWh5qhrZYT6X52Smo+WpalQU5Ua0DilF+pjkcOjEQNj3jaexe4vFe4cpWogBJxk0NTXNffzWW2/FcCVERESJ7fKwEz9oPYuJGU9Y93dNe/DDtrPs5EQkI46PlFa4f+/EcJY8EREREVFgsTgxKjaiDuCYOiIiSnxer0/0+aw0P7KAEwBsNeaj7dmakLsyGg0atD5bg63G/IjXILVwH9PybBXSldKv51SfDZduOMO6b7yN3fPbXKbHmsKcWC+DQsCAkwxqa2sBAD6fDxaLBWfOnIntgoiIiBLQrMeLl459HfHJfte0By8e+4qhCiIZcHyk9NQqGY4+gLPkiYiIiIjERPvEaDABp0E7A05ERJTYhp3TmHYLH5sXG9sarIqiXHz4/fvwd9+uxOYy4ZFom8v0+LtvV+LD798XV52bFgvnMX35o21o+Lflsqzn84vWsO7n75gZ6bHPLIlHCD65NX47S9HSeJRbBmVlZQAAhUIBAOjo6MDGjRtjuKLkdvDgQbS2tsJiscBisUCr1UKv16O2thZNTU0LRgYSEVHi+PTCcMhj6QIZsE3gs4tW1K0rlKQeEd0aHxlOhzX/+MgD9RtgKtXJtLrEZcjJlKXu8hyVLHWJiIiIiJKJ/yTiR+eGcOjEAE712QJuu7lMjye3lmL73UVBj6WbT6vOQHZmOsanA3dbZQcnIiJKdAMjLtFtpOjg5KdKT8MjG+7EIxvuxKUbTnx+0YobY1NwzbihUaWjMDcL9681JFTXnnAe04xMF3zfGJsK+74VRbnYUqbHp2GGpHIy0/HmEyb8v/7pHCxW8Z8rMUaDBtvvLoq4DkUXA05R8Nvf/jbWS0hKe/fuxauvvgrgVtesvXv3wmg0wuFw4Le//S1effVVHDx4EEajEa2trQw6ERElmKPma9LW677KgBORRKQaH3nwyWqsLsiWeHWJrcaYj9eP98hSl4iIiIiIxEXrxKhCoUCxXo3z18cCbsOAExERJbpgnsuC6WoYjjWFOQkVZApGsI9pYiZwgDoSrgjqjk7MotMyEtZ9jQYN3thtQkVRLt7YbcKuNzvhFAiJi8nJTMcbu01hhdQpthhwkpnP54PZbI71MpKKw+HAtm3bYDabodVqcfz48dvCS/X19di/fz+amppw8OBBVFVVobm5GY2NjTFaNRERhaJ3eFx03FWoTg86YLGOw2hgmIIoElKPjzzcsAUZSr6R9DMasrGxWCvp38DKYi3/9hERERERhUHuE6Ml+mWCAadBBpyIiCjBiQWcDDmZUKsYWZCaXN9TTQR1j5qvYmo2tM5SS3XMrCjKRctT1Xj6nS7BTpiB5GSmo+Wp6rgeTUiB8a+FDEZHRxd8brFYYrSS5FRVVTX3Pe3u7obRaAy4bXNzM4BbY+yampoAgCEnIqIEcKIvvBS/mE7LCE/yE0WI4yPlt9O0QtKA086qlZLVIiIiIiIi6RTrhDtWMOBERESJbmBE+LmsVKbuTamuKDdLlrqFYdb1+Xx49+SA6Hb/t3uKsEK7TLRj5lZjPtqercFzh80hjaub3wmKEhMDTjLo6OiI9RKS1q5du+bCTfv37xcMN/k1Nzejo6MDFosFTU1NqK6u5rg6IqI4Z3VOy1L3pnNGlrpEqYTjI+X3YEUBSn/TJ0mQrFSvxgNrDRKsKnVYrOPotIzA6pzGxIwHapUShpxM1BjzGZIlIiIiIkmV5Auf1L1qn4TH64MyTRGlFREREUlL7PiW2HMhhef+tQb85IPzstQNR2fviGgQafMqPd58oiromhVFufjw+/fho3ND+OuPL6F/JHB9hQJ4/c8rF3SCosTEgJMMXnnllVgvISmZzWa0tbUBALRaLfbs2RP0fffu3TvXwamhoQHd3d2yrJGIiKQR6eirQCKZD01EHB8ZLRnKNOzbsR6Nh7rgmg7/76EmU4l9O9ZzBGAQZj1efHphGEfN1wL+jL9+vAcbi7XYaVqBBysK+H0lIiIioogVi3StcHt9uD46iZUinZ6IiIji1RWB0AkAlOo1UVpJallTmIPNq/Q41W+TrObmMn3Yo3uD6d60e2tJyHVV6Wl4ZMOdSE9T4NnD5oDb+XxA3bpChpuSAP8PSmRsbAzHjh3Dpk2bYDaboVD88YoKrVYbu4UlkYaGhrmPH3vssZDuO38s3fygFBERxSe1SilL3UjmQxORvOMjaaHVBdk4UL8h7L+HmkwlDtRvwOoCBsfEXB52YnfLSbz8/jnRAN+ZQQdefv8cdrecRM/weHQWSERERERJqySIsTyDtskorISIiEh6Y1OzsE/MCm5Tkr8sSqtJPU/UlEpa78mt4dW7MTaFj87dENxmebYKD99TFFZ9ANCqVaLb2Cc44SMZpETASalUyv5Pp9Nh165dCzoD+Xw+KBQK1NbWxvDRJweLxQKz+Y+py6qq4NvT+c0fS9fc3CzJuoiISB6GnExZ6i7PEX+RS0SBcXxkdJlKdWj5TjVKgzjpMV+pXo2DT1bDVKqTaWXJwzxgR+Mvu0MeBzhgm0DjoS6YB+wyrYyIiIiIUsEKrfhJ3UEJRlcTERHFwpUR8eewEnZwks3DdxfBaJDm+2s0aLD97vACSP9wahAer09wm8eqi5GZHv6F7zpNhug2dpdw2I4SQ0oEnHw+X9T+AVjQvQkAHn/88Vg87KSyOJAUTmisurp67uOOjg44HI5Il0VERDKpMeYnVF2iVMHxkdG3uiAbhxu24MeP3oPKYq3gtpXFWvz40XtwuGELOzcF4fKwEz9oPRv2z7Vr2oMftp1lJyciIiIiCltWhhJFuVmC21xhwImIiBJUMM9hpfkcwyoXVXoa3thtQk5mZJMt1Col3thtCmu8m9vjxXunrghuo1AAf7El9PF08+mC6ODkYAenpJAyc1oWh46ixWg0YseOHTHZdzJZPFJOr9eHXKO8vHzB50eOHFkwuo6IiOKH0ZCNjcVa0VFBoags1sJo4Al/okhwfGRsZCjTULeuEHXrCmGxjqPTMoKbzhm4ZtzQqNKxPEeFGmM+/8aFYNbjxUvHvo44tOea9uDFY1/hcMMWZChT4vohIiIiIpJYiV6NobGpgLcP2hlwIiKixDQg0sFJo1IiX8OpC3KqKMpFy1PVePqdLoxPh3eRadlyDSqKcsO6b8f5YcHXOQDw0NoCrNRFFnTTqoPo4CQyLpESA88kyMTn88FoNOLjjz+O9VISnsPhgMViWfA1rVYbcp3F95k/TpCIiOLPTtMKSQNOO6tWSlaLKFVxfGTsGQ3ZDDJJ4NMLwyGPpQtkwDaBzy5aUbeuUJJ6RERERJRaVuqX4VR/4NvZwYmIiBLVFZtL8PaSfE3MmpSkkq3GfLQ9W4PnDpthsQr/P1nKuW/G8GXvTdxbvjzk+x4+OSC6zRNbS0Ouu1hmuhIalRIugYsZbezglBRS5hLTaI6py8vLw549e9DT04OysrJYP/SE19XVteDzcMJNwO1dnzo6OsJdEhERRcGDFQUo1UvTnrZUr8YDaw2S1KLQWKzjOHxyAD/ruIR9H5zHzzou4fDJAVisHOmUiDg+kpLFUfM1aet1X5W0HhERERGljhKRYx+DDDgREVGCEuvgJNXxfxJXUZSLD79/H/7u25XYXBb6pKS/+fgSfD5fSPfpu+nCby7fFNymWL8M962R5tyNVmRMncPFgFMySIkOTvv375d9H0ajEVqtFkajkaEmiZnN5gWfhzOeDrg9GLW4KxQREcWXDGUa9u1Yj8ZDXXBNhz9CSJOpxL4d6zk6KIpmPV58emEYR83XAnbhev14DzYWa7HTtAIPVhTw/0+C4PhISga9w+OS/gwDwOlBByzWcf4sExEREVHIxAJON8dnMDHjhpqjvYmIKMGIBpzyGXCKJlV6Gh7ZcCce2XAnLt1w4vOLVtwYm8IN5xT+5++uwyuQX+oasOOLyzdxfwhhpMMnxLs3/cXmUijTpOnipdNk4JpjMuDtHFGXHFLiFfHzzz8f6yVQBHp7exd8LlUHJ+BWyMloNIZVj4iI5Le6IBsH6jfgB61nMSHQWjQQTaYSB+o3YHUBTzhHy+VhJ1469nVQo5/ODDpwZtCB0t/0Yd+O9fz/lCA4PpIS3Ym+EVnqdlpGGHAiIiIiopAVB9G9YtA2ibVFOVFYDRERkTRm3F5cHw0cNgGCew4keawpzMGawj++ttAu+xqHRAJJf/PxRdx31/KgxgpOzXrQKtLxXKVMw2PV0h0b1ol1cOKIuqTAS+Up7tlsNtlqOxwO2WoTEZE0TKU6tHynOuR2taV6NQ4+WQ1TqU6mldFi5gE7Gn/ZHVS4ab4B2wQaD3XBPGCXaWUkJY6PpERndU7LUvemkwdJiIiIiCh0Yh2cAOAKx9QREVGCuWqfEOwIBLCDUzz5Lw+tRma6cHTk7NVRdJwfDqre/zj7DUYnhTsm/Yf1RcjPzgx6jWLERtTZGXBKCinRwYkSm5whJIvFApPJJFt9AOjs7Izo/l999ZVEKyEiSlyrC7JxuGELPrtoxdHuqzgt0D2msliLnVUr8cBaA8eeRdHlYWfYnbYAwDXtwQ/bzuLgk9Xs5BTnOD6SEl24f6fEuGbcstQlIiIiouRmyM5EZnoapt3egNsw4EQU3/yjnobGpuZGShblZuH+tYYFHVKIUkkwz12lek0UVkLBKMzNwhNbS/GLf+kT3O5v2i9hW0UB0kTGyr178oroPp/YWhrSGsXo1BmCt3NEXXJgwIninlQdnMIdbRepe++9Nyb7JSJKNhnKNNStK0TdukJYrOPotIzgpnMGrhk3NKp0LM9RocaYz/FAMTDr8eKlY19HHBpwTXvw4rGvcLhhC0MvcY7jIymRqVVKWepqVHx7TUREREShS0tTYKVuGXqtroDbDDLgRBR3ZtxefHhuCO92DuBU/9LnsX7ywXlsXqXHEzWlePjuIqhEuqMQJROxgFN6mgJ3arOitBoKxrMPlONXJ69gcjbw8d7z18fw4bkh/If1dwTc5qurozgrcJE6AFQU5aBK4ukbYh2cOKIuOfAILMW9xR2c9Hq9ZLXlHH9HRETyMRqyGWSKI59eGA55LF0gA7YJfHbRirp1hZLUI/n4x0e+eOyrkP7/l+rV2LdjPcNNFDOGHOlaX8+3PEf4IAoRERERUSAlejUDTkQJ5Pz1MXz3V2ZYBH5v/U7123Cq3wajQYM3dptQUZQbhRUSxd7AiPBz1wrdMqTzIte4sjw7E0/duwpvfd4ruN3ftl/C9ruLoAzQxendEwOi+3piaykUCuEuUKHSi3RwsrkYcEoG/KtBRERERBE5ar4mbb3uq5LWI/n4x0f++NF7UFmsFdy2sliLHz96Dw43bGG4iWKqxpifUHWJiIiIKPmV6NWCt3NEHVH8OGEZwa63OoMKN81nsbqw681OnLCMyLQyovgiFnASe+6j2Gi6z4jsTOEeOZeHx/E/zn6z5G2jk7N4/6zw+QKNSolHK1eEvcZAdBrhiw/HptxwewKPBKbEwA5ORERERBS23uFxnBFpNxuq04MOWKzj7NKVIDg+khKN0ZCNjcVaSf92VRZr+TNORERERGErFjnJO2ifgM/nk7zTARGF5vz1MTz9ThfGp91h3d857UbDO11ofbaGnZwo6V2xCYcAGXCKTzqNCv/Hvy3D68cvC2738+OX8Z/+5I7bunAdM1/F1KxwiGiHaaVoiCocYiPqgFsBrPxsebq7U3Qw4EQksy+//DKi+3/11VdoamqSaDVERETSOtEnz1VnnZYRhgUSEMdHUqLYaVohacBpZ9VKyWoRERERUeoRCzhNzXphHZ9GQU5WlFZERIvNuL347q/MYYeb/JzTbjx32IwPv38fVOkctEPJyefziXYfLM1nwCle/eW/LcN//9c+jE0F/nvXd9OFY6ev4bHq4rmv+Xy+oMfTyUEnMqIOAOwTDDglOgacKO5ptVpJ6jgcjtu+ptfrJaktpKamRvZ9EBERxYrVOS1L3ZtOzsMmIvk8WFGA0t/0YUCCUR+lejUeWGuQYFVERERElKqC6WIxaJtgwIkohj48NxTyWLpALFYXPjo3hEc23ClJPaJ4Y3VOi3bxKdFrorQaClXesgw03mfEgY8vCW73+vHLeHTjirmwZqdlBL0ifyc3r9JjbVGOZGudTxdEByfHBM87JDpGgynh2Gy2WC+BiIiI/mBixiNLXddMZFfDEREJyVCmYd+O9dBkKiOqo8lUYt+O9chQ8q01EREREYVPrIMTAAzaJqOwEiIK5N1O8a4koTgURJcTokQVzAVl7OAU3/73f1MGvUY4MHTVPokjXYNznwfTvWn31pKI1xaINsgOTpTY4rqD09tvvx3rJUjiscceQ24uZ+mGy2g0wmw2y1abiIiIwqdWRRYOCESjiuuXqUSUBFYXZONA/Qb8oPVsWGFNTaYSB+o3YHUBxzISERERUWSyM9Oh16hgcwXuKiA26oeI5HNxyIlT/dJefH+qz4ZLN5xYUyhPJxOiWBoYEX/OCqZ7IcVOdmY6nrnfiH0fXBDc7v/8pAf1VSsxNjmLj8/dENw2X6PCw/cUSbnMBbIz05GepoDb6wu4jV3gtRYlhrg+c9TY2AiFQhHrZUTMaDTioYceivUyEtbiMXJLjZoLxlKdn6Qaf0dERJSqDDnyzKteniPeTpaIKFKmUh1avlONF499FdK4ulK9Gvt2rGe4iYiIiIgkU6xXM+BEFKe+uGSVpe7nF60MOFFSujIiPKZseXYmNJlxHVMgAE9uXYWW3/TB6pwOuM3Q2BTeO3UFzim3YLAIAB7fVIzMdHkumAYAhUIBnUYluF47R9QlvIT4y+HzCf8yxLNkCGjFWnl5+YLPwx1Rt1QwanF4ioiIUovFOo5OywiszmlMzHigVilhyMlEjTEfRgNPWgejxpiP14/3yFKXiCgaVhdk43DDFnx20Yqj3VdxetARcNvKYi12Vq3EA2sNHEtHRERERJIq0atxVuC16CADTkQxMzQ2JUvdGzLVJYo1sYvIOJ4uMSxTKfHcA+X4//yP3wtut//DixBLRCgUwLc3yzeezk+nzhAJOHFEXaJLiIBTooaEEjmYFU9MJpMkdSwWy4LPtVotOzgREaWgWY8Xn14YxlHzNZwJcODw9eM92FisxU7TCjxYUcCT2AKMhmxsLNYG/F6Go7JYy4AZEUVVhjINdesKUbeucC78etM5A9eMGxpVOpbnqBh+BYPBRERERHIq1i0TvJ0BJ6LYmZhxy1LXJVNdolgTG1HH8XSJ49ubS3DwCwuujwYOZE7NekTrPLS2AMVR+P+uVQtPhnCwg1PCS4iAk5Tmh46kDE4tVTdRg1nxprq6esHn4Y6oGxkZWfB5bW1tuEsiIqIEdXnYiZeOfR3UGKIzgw6cGXSg9Dd9HEMkYqdphaQBp51VKyWrRUQUKqMhm2GdeRgMJiIiIooOsZO918emMO32yDrahYiWplbJczpVI1NdolgTG6vKgFPiyMpQ4r88tBov/frriOo8sbVUohUJ06kzBG/niLrEF9fPnHl5eZKGhBwOBxQKBXw+39x/pTK/Hjs3SUur1cJoNC7owGSxWGA0GkOqs7iD06ZNmyRZHxERJQbzgB0/aD2LiRnxqwnmG7BNoPFQFw7Ub4CpVCfT6hLbgxUFKP1NX1DBMTGlejUeWGuQYFVERBQpBoOJiIiIokfsZK/PB1yzTzKMTxQDy7OFO4KEqzA3S5a6RLHknJqFzSUcIuGIusSyq6oYP2u/BOt4eOEgBYDM9OhcDKcT6eDEEXWJL64vq7Tb7bDZbJL9q6+vXxBuqq+vh91uh9frDfufzWbDzp075+oCgE6ng8VimdvmoYceivF3MvEt7ra0OKwUjMWdn+rr6yNZEhERJZDLw86wwk1+rmkPfth2Fj3D4xKvLDlkKNOwb8d6aDIju4pUk6nEvh3r2fmDiCgOmAfsaPxld8jhVX8w2Dxgl2llRERERMkpmLEtg/bJKKyEKHVcuuFEyxcW/NU//x4vHPsd/uqff4+WLyy4dMM5t8310Un8/858I8v+7+dFfpSExLo3AQw4JZpe6zjGpsIfqekD0HSoGxeGxqRbVAAcUZf8Uubs0bFjx9DW1jYXQtq7dy+OHDmCvLy8iOpqtVq0trbiyJEjcyEnh8OBZ555Ropl0x/s3bt3wedmsznkGl1dXXMfm0ymkDtAERFRYpr1ePHSsa/DDjf5uaY9ePHYV5j1eCVaWXJZXZCNA/UboFaFF3LSZCpxoH4DO34QEcUBBoOJiIiIou+OvCwo04QnWgRz0piIhM24vfins9/gsbc68e//9gv85IPz+MW/9OG9U4P4xb/04ScfnMe//9sv8NhbnTjw8UX8x5//BheHnOKFQ7S5TI81hTmS1yWKtSsj4s9VJXpNFFZCUphxe/HdX5kx7Y7svIhz2o3nDpsxE2EdMXqN8Ig6m4sdnBJdygScnn766bmPa2tr8corr0hav76+Hh9//PHceLr29na8+OKLku4jlRmNxgVdnNrb20O6v8ViWdDBqampSaqlERFRnPv0wrAko9OAW10pPrtolaRWMjKV6tDynWqUhjhDvVSvxsEnqzkCkIgoDjAYTERERBQb6co0rNAuE9xmkAEnooicvz6Gh3/+Bb733mmc6rcJbnuq34b/85Me2GQaZ/Tk1lJZ6hLFmtixeLVKKdvYR5Leh+eGYLG6JKllsbrw0bkhSWoFEkwHJ3+egxJTSgScXnvttQXhlubmZln2U1tbi+effx4+nw8+nw/79+9Hf3+/LPtKRfO7OHV0dNw2ck7I/P/nRqMRjY2NUi6NiIji2FHzNWnrdV+VtF6yWV2QjcMNW/DjR+9BZbFWcNvKYi1+/Og9ONywhZ2biIjiBIPBRERERLFTrGfAiUguJywj2PVWp2Qn6iNhNGiw/e6iWC+DSBYDIh2cSvTquYlLFP/e7RyQtN6hE9LWW0wnEnBye30Ynw5/3B7FXkoEnF555RUoFAooFArU1tZi1apVsu3L37XJ/4f51VdflW1fqaa2thb19fVznwfbhcvhcODgwYNzn8sVcCMiovjTOzyOM4MOSWueHnTAYuXIHSEZyjTUrSvEW09W4b2GLfjettX4i80l+NONd+IvNpfge9tW472GLXjrySrUrStEhjIlXpISESUEBoOJiIiIYqdEpCMyR9QRhef89TE8/U5XXJzUzslMxxu7TVCl83gYJacrNuEQodhzHcWPi0NO0W53oTrVZ8OlG9KP/fTTqYVH1AGAQ6bOfBQdSf/sefz48QWdfurq6mTdX15eHhobG+e6ODU3N2NsbEzWfaaSlpYWGI1GALfCY2azWfQ+DQ0Ncz8De/bsWTDqjoiIktuJvhFZ6nZa5KmbjIyGbOzeUorv196FF//Dt/D92ruwe0spjAZ2bCIiijcMBhMRERHFVjEDTkSSm3F78d1fmeMm3NTyVDUqinJjvRQi2Yh1cCrNZ8ApUXxxSZ6u3J/L2O1bbEQdANgnZmTbP8kv6QNO7e3tADA3S9EfjpFTeXn5gs+PHDki+z5ThVarRXd3N0wmEwCgqqoKbW1tS27rcDiwa9euudv37NmD/fv3R22tREQUe1bntCx1bzr5ApiIiJIPg8FEREREsSXW1cI55cYouw4QheTDc0OyjKXLUIY2Ysto0KD12RpsNeZLvhaieDHr8eIbx6TgNiX5miithiI1NDYlS90bMtUFguvgZOdrqYSW9AGnxR1+bDZp26gtxR+i8o+p84esSBr+kJM/rLRr1y5UVVXh4MGD6OjoQFtbG/bu3YuysjK0tbXBaDSivb2d4SYiohQ0MeORpa5rJvZXfBEREUmNwWAiCtfBgwdRV1eH8vJyKBQK6HQ6lJeXo6mpKaju20REdEuxTryrBbs4EYXm3c4ByWs+suFO/PalWvzdtyuxuUwvuv19dy3Hh9+/j52bKOlds0/C6xPeppQj6hLGhEznQeQ8v5K3LIiAk4vHqRJZ0gecLBbLXNAIAHp7e2Xf5/wQlc/n44EcmezZswd2ux3Nzc3Q6/XYv38/6urq0NDQgLa2Njz22GPo7u5Gb28vx9IREaUotUopS12NKl2WukRERLHEYDARhWrv3r1QKBRoamqa+7y9vR0tLS2or6/HwYMHUVVVhfLych4fIyIKglgHJ4ABJ6JQXBxy4lS/9I0P/suD5dCqVXhkw5040lSDzat0gtt7fD6o0pP+lCwRBoJ4juKIusShluk8iJznV9KVaaIhJ46oS2xJf3ZufsDJ5/Oho6MDr7zyiqz77O7uXvB5NLpGpSqtVovGxkY0NjbGeilERBSHDDmZstRdniM+x5mIiCjRMBhMRMFyOBzYtm0bzGYztFotjh8/DpPJtGCb+vp67N+/H01NTXNBp+bmZh7DISISoFVnICczHc7pwAFxBpyIgvfFJatMdW9i7bxuTBuKtTjVbw+4fc/wuCzrIIo3V0aEx0Eq0xS4U7ssSquhSBXlZslSt1Cmun46dQZGJwOPoeOIusSWMnFhf8jJbDajv79f1n0dOXJkQdcoh8Mh6/6IiIhoaTUyzbSXqy4REVEsMRhMRMGqqqqa68jU3d19W7hpvvmhJn/YiYiIlqZQKLBSpIvToJ0BJ6JgDY1NyVL3xqK6qwuyRbafxtgUT6hT8hsYEX6OulObhQxlysQTEt79aw0JVddPqxY+DuVgB6eElvR/QUwmE3y+hcM+X331Vdn2d/To0dsCTUajUbb9ERERUWBGQzY2FmslrVlZrIXRIHzQgoiIKBExGExEwdi1axcsFgsAYP/+/UEd92pubp7brqmpiePqiIgElOiFO1sMsoMTUdAmZBqXvXgMt1jACQB62cWJUsC5b8YEby/Va6K0EpLCmsIcbF6ll7Tm5jI91hTmSFpzMZ1abEQdA6eJLOkDTvMPsigUCvh8PjQ3N+PTTz+VfF+jo6NoaGhYMBJPoVAw4ERERBRDO00rpK1XtVLSekRERPGCwWAiEmM2m9HW1gYA0Gq12LNnT9D33bt379zHDQ0Nkq+NiChZlIh0cOKIOqLgqWUal714DPdqg/jJeo6po2Q14/bin85+g8fe6kSnZURwWy98mHF7o7QyksITNaWS1ntyq7T1lqJjB6eklvQBJ38LbD9/yKm+vh5nz56VdF/btm1bchzdrl27JN0PERERBe/BigKUihwcDFapXo0HZG6fSkREFEsMBhORkPnBpMceeyyk+84/Rjc/KEVERAsVixzDuGafhMfrE9yGiG4pys2SpW7horp56gwszxYe+d1jZcCJks/562N4+Odf4Hvvncapfpvo9l/2jODhn3+BC0PCnZ4ofjx8dxGMBmk6bxkNGmy/u0iSWkLERtTZGXBKaEkfcKqtrUVZWdnc5/6uSna7HSaTCb/+9a8j3kd/fz/uuusunD59eq57k59Wq8XTTz8d8T6IiIgoPBnKNOzbsR6aTGVEdTSZSuzbsZ4zwomIKKkxGExEgVgslgWj5aqqqkKuYTKZ5j5ubm6WZF1ERMlGLODk9vpwfXQySqshSmz3y/R+ZKm65SIBAI6oo2RzwjKCXW91wmJ1hXQ/i9WFXW924oRItyeKD6r0NLyx24SczMg64uVkpuON3Sao0uU/v6LXiIyoc3FEXSJLiTN0ra2t8Pn+eEWDP+Tk7+T08MMPh9XNaWxsDC+88ALKy8vR29u75D72798vyWMgIiKi8K0uyMaB+g1Qq8ILOWkylThQvwGrCzhih4iIkhuDwUQUyOJAUm1tbcg1qqur5z7u6OhYshM6EVGqExtRB3BMHVGw1hTmYPMqvaQ1N5fpsabw9pF0YscNOaKOksn562N4+p0ujE+7w7q/c9qNhne62MkpQVQU5aLlqWpkhxlyyslMR8tT1agoypV4ZUtjB6fklhJHGk0mE55//vm50JGfP+TU3t4Ok8mEu+66C88++yw++eQT9Pf3Y2zsj39Ux8bG0N/fj08++QQHDhzA9u3bodPp8Oqrr87VXVy7vr6e3ZuIiIjihKlUh5bvVIfclaJUr8bBJ6thKtXJtDIiIqL4wmAwES1l8Ug5vT70k4Xl5eULPj9y5EhEayIiSkYrtMtEt7lqYwcnomA9UVMqab0nty5dT+z9zxXbBKZmPZKuhSgWZtxefPdX5rDDTX7OaTeeO2zGjNsr0cpITluN+Wh7tibkcXVGgwatz9ZgqzFfppXdTicScJqY8WDazb/HiSqyXmIJZP/+/XA4HGhpaZkLIs3v5AQAvb29sFgsOHjwYFA1/fdbPJbO5/Ohrq4O//iP/yjhIyAiIqJIrS7IxuGGLfjsohVHu6/i9KAj4LaVxVrsrFqJB9Ya2H2CiIhSjj8Y/OKxrzAQQoeAUr0a+3asZ7iJKMk4HA5YLJYFX9NqtSHXWXyf7u7uCFZFRJScsjKUKMrNwtDYVMBt2MGJKHgP310Eo0ET8hitpRgNGmy/u2jJ28TeA3l9QP+IK2odTIjk8uG5IUl+n4Bb4+o+OjeERzbcKUk9kldFUS4+/P59+OjcEA6dGMCpPlvAbTeX6fHk1lJsv7soKmPp5tOphUfUAYBjYhaFuZF1L6fYSJmAE3CrlXZ5eTl+9KMfLei4ND+gNH/MnJilgk0A0NTUhDfffFOCFRMREZHUMpRpqFtXiLp1hbBYx9FpGcFN5wxcM25oVOlYnqNCjTEfRgNPzBIRUWpjMJiI/Lq6uhZ8Hk64Cbi961NHR0e4SyIiSmolejUDTkQSUaWn4Y3dJux6sxPOCDrO5GSm443dpoAn6oO5yKNneJwBJ0p473YOSFrv0IkBBpwSiCo9DY9suBOPbLgTl2448flFK26MTc2dXynMzcL9aw1LjvKMFrERdcCtMXWFuVlRWA1JLaUCTgCwZ88e1NbWoqGhAadPn74tpLT482D5fD4YjUY0Nzdj27ZtUiyViIiIZGY0ZDPIRPQH/sCf1TmNiRkP1ColDDmZDPwRpTgGg4kIAMxm84LPwxlPB9wejFrcFYqIiG4p1qtxqj9wVwQGnIhCU1GUi5anqvH0O11hjdXKyUxHy1PVguGkotwsZGemC9bvHZam6w1RrFwccgo+P4XjVJ8Nl244YxqIofCsKcyJy/9vOo14Bye7azYKKyE5pFzACQBMJhO6u7vR1taGn/70pwsO0gQbcJrf6cloNKKpqQnPP/+85GslIiIiIpLLrMeLTy8M46j5Gs4E6Mzy+vEebCzWYqdpBR6sKGBnFqIUxmAwUerq7e1d8LlUHZyAWyEno9EYVj0iomRVrF8mePtVOwNORKHaasxH27M1eOr/OoUbY9NB389o0OCN3SbRzksKhQLlBg3OXh0NuE2PdTzo/RLFoy8uWWWp+/lFa1wGZSgx6YLo4OSYmInCSkgOKRlw8quvr0d9fT36+vrQ3NyMjo6O265IC8RkMqG6uhpNTU2orKyUeaVERERERNK6POzES8e+xkAQV/6eGXTgzKADpb/pw74d64Nqu05ERETJw2aT9irt+RwOh2y1iYgSVYleLXj7zfEZuKbd0GSGd4rHP1JmaGwKEzNuqFXpKIqDkTJEcqsoykXDvzPix//zvOi2m8v0eHJrKbbfXRRwLN1i5QXZwgGnYQacKLEJjU+NxA2Z6lJqyspQYlmGEpOznoDb2BhwSlgpHXDyKysrw09/+tO5z0+fPg2bzQaLxTJ3kEWr1UKv18NoNDLQREREREQJzTxgxw9az2JiJvCbvKUM2CbQeKgLB+o3wFSqk2l1REREFG/kDCFZLBaYTCbZ6hMRJSKxgBMADNonRDvKzDfj9uLDc0N4t3Mg4Hihn3xwHptX6fFETSkeDiHUQZRIhkaFgxR6tQr/0LQ1rLCf2AVhFus4PF4flGnBTZMhijcTM6GPeAyGS6a6lLp06gxMjgY+9u2Y4Ii6RBXXAadNmzbhk08+QU5OdK8Y8AeYtm3bFtX9EhERERHJ7fKwM6xwk59r2oMftp3FwSerZevkZLGOo9MyAqtzGhMzHqhVShhyMlFjzOd4LCIiohiQqoNTuKPtItXZ2RnR/b/66iuJVkJEFJziYAJOtsmgA07nr4/hu78yw2J1iW57qt+GU/22oMdyESWaa45JwdvvXpEbdiez1SLHLKbdXlyzT6IkX/x3nCgeqVXyRAs0MtWl1KVVq/CNQKDV7mIHp0QV138turu7UVVVhfb2dpSWlsZ6OUREREREcSeUMNCsx4uXjn0ddrjJzzXtwYvHvsLhhi3IUEpzRe+sx4tPLwzjqPkazgw6ltzm9eM92FisxU7TCjxYUSDZvomIiEjY4g5Oer1estpyjr/zu/fee2XfBxGRlAzZmchMT8O02xtwmytBjBsHgBOWETz9ThfGp0PrjmGxurDrzU60PFWNrcb8kO5LFM/EAk4rtMvCrh3MhWA9VicDTpSwinKzZKlbKFNdSl06TYbg7XZ2cEpYcR1wAoCenh5UVVXh+PHj2LBhQ6yXQ0REREQUc+GGgT69MIyBIA+CixmwTeCzi1bUrSuMuNblYSdeOvZ1UGs7M+jAmUEHSn/Th3071svWRYqIiIiIiChW0tIUKNar0TM8HnCbwSDeP52/PhZWuMnPOe1GwztdaH22hp2cKGlcs8sXcCrRq5GhVGDW4wu4Tc/wOB6qiPxYClEs3L/WgJ98cF6WukRS0qpVgrc7JtjBKVHF/SXPCoUCNpsNJpMJv/71r2O9HCIiIiKimLo87MTulpN4+f1zAcNNfmcGHXj5/XPY3XISPcPjOGq+JulajnZfjbiGecCOxl92hxy8GrBNoPFQF8wD9ojXQEREREREFG+KdcIhC7GA04zbi+/+yhx2uMnPOe3Gc4fNmBHoJkWUKCZnPBgRGUu0QuR3T0i6Mg2r8jWC2wgFF4ni3ZrCHGxeJV03VwDYXKYPeywkUSA6tVgHJwacElXcB5yAWyEnn8+H+vp6/OIXv4j1coiIiIiIYiKSMNDT7/xWNBAVqtODDlis4R+YuzzsxA9az4Y9Ms817cEP287y4CARERERESWdEr3wCCuxEXUfnhuCxeqSZC0WqwsfnRuSpBZRLImNpwMi6+AEiI+p4zEMSnRP1JRKWu/JrdLWIwIAnUgHJ46oS1xxPaKuoaEBLS0tUCgUcyGnxsZG9Pb2Yt++fbFeHhERERFR1EQaBpqcledq207LCIyG0MfEzXq8eOnY12E/Hj/XtAcvHvsKhxu2IEOZENdvEBERJRytVitJHYfDcdvX9HpprwBfypdffhnR/b/66is0NTVJtBoiouAUiwScBu0T8Pl8UCgUS97+bueApOs5dGIAj2y4U9KaRNH2TTABpwg6OAHBBZyEfneJ4t3DdxfBaNBIEqI1GjTYfneRBKsiWkg84MQOTokqrgNOzc3NqKqqwjPPPLMg5LR//35YLBb8wz/8Q6yXSEREREQkO6nCQHK46QzvzeCnF4ZD7kQVyIBtAp9dtKJuXaEk9YiIiEiYzWaL9RJCUlNTE+slEBGFTCzgNDXrhXV8GgU5WbfddnHIiVP90v6tPtVnw6UbTo4RooQm1sEpTQEU5d7+OxUKsYDT2JQ74O8uUSJQpafhjd0m7HqzE84IxqDmZKbjjd0mqNJ5wSJJT6cRHlE3OjkLj9cHZRrDpokm7v9iNDY2oqurC6tWrZpLNPt8PrS2tmLz5s0YGxuL9RKJiIiIiGQlZRhIaq6Z8A5kHDVfk3QdR7uvSlqPiIiI/shoNCZkbSKiRCY2og4ABgO8T/ziklXq5QAAPr8oT12iaLlmFw44FeVmIT3C7tDlQXS55pg6SnQVRbloeaoa2Znh9VLJyUxHy1PVqCjKlXhlRLdoRTo4+XzA2CTH1CWiuO7g5GcymWA2m1FfX4/jx4/PhZy6urpQXV2N9vZ2lJYGns+Zn58fxdUupFAocPPmzZjtn4iIiIgSn9RhIClpVKG/pegdHseZQYek6zg96IDFOh7WuDwiIiIStniM3FKj5oKxVOcnqcbfERElG7EOTgBwxTaBqtLbR30OjU3JsSTckKkuUbSIdXCKdDwdcCvgpFDcOnkeSK/VhXvLl0e8L6JY2mrMR9uzNfjOL05h2Dkd9P2MBg3e2G1iuIlkJTaiDrg1pk6nEd+O4ktCBJwAIC8vD+3t7di7dy9ee+21udm0PT09qKqqwvHjx7Fhw4Yl72u32+dCUdHGGbpEREREFAk5wkBSWp4T+pvAE30jMqwE6LSMMOBEREQkg/Ly8gWfhzuibqlg1OLwFBER3ZKdmY58jQojrsBjwa+MLB3WmAiz066YcDv4EsULsQ5OK7SRB5yWqZRYoV2GqwL76mUHJ0oSFUW52L2lBH/bcVl0281lejy5tRTb7y7iWDqSnU4tPKIOAOwT7OCUiBIm4OS3f/9+1NXV4bHHHsPo6CgUCgVsNhuqqqrgdgu/uI522CgWgSoiIiIiSi5yhYGkUmMMvVuqNYSrukJx0xn4wD8RERGFz2QySVLHYrEs+Fyr1bKDExGRgJV6tWDAadC+9Ig6dRiddoMRTgdfongSjQ5OALC6IFsw4MQRdZRMvnEId/crys3CL/9yM9YU5kRpRUTiI+oAwDHBY8mJKCHjkbW1tejq6sLGjRvnQkQMExERERFRMpIrDCSFymJtWB2TJmY8MqyGVxMTERHJpbq6esHn4Y6oGxlZGNyura0Nd0lERCmhRGRM3RXb0gGnotwsOZaDQpnqEkWD2+MVHd+4Qis+GjIYq0WOlTDgRMkk0HORn6lUy3ATRV1uVjqUacLNb2wCIXKKXwkZcAIAo9GI7u5uNDQ0BLW9z+eL+j8iIiIiokjJFQaSws6qlWHdT61SSrySW3g1MRERkTy0Wi2MRuOCry3uxhSMxffZtGlTROsiIkp2JXrhbjKDAU4q37/WIMdyZKtLFA1DY1PweIXP3UnZwUlsLc4pjkai5BCom6BfsUhYl0gOCoVCdEydgyPqElLCnwFobm5GVVUVnnnmGcFtiIiIKD5YrOPotIzA6pzGxIwHapUShpxM1Bjzw+oEQ5Ts5AoDRapUr8YDYR7cNuRkSryaW5bniLceJiKKZ3ydRPGstrYWBw8enPvcYrHcFnoSs7jzU319vRRLIyJKWsU64ZPCQ2NTmHZ7kJm+8H2jWqVEhlKBWY90F2JvLtOzAwclNLExWgCwQhudgBMA9Fpd2FislWR/RLEy6/Hi+qjw75bYcxmRXLRqFW6OB+7SZOeIuoSU8AEnAGhsbBS84ivYLk9EREQkj1mPF59eGMZR8zWcGXQsuc3rx3uwsViLnaYVeLCiABnKhG00SSQpucJAkdBkKrFvx/qwf09rjPl4/XiPxKu6VZeIKNHwdRIlir179y4IOJnN5pBHzHV1dc19bDKZQg5IERGlGrERdT4fcM0+uSAIPToxi//9738rabgJAJ7cWippPaJou+YQ7jIDRDfg1DM8zoATJbzrDvHOaOzgRLEi1sHJzg5OCSlpjohVVlbGeglERES0hMvDTuxuOYmX3z8X8KSd35lBB15+/xx2t5zkLHqiP5ArtLMsI7y3AppMJQ7UbwjqYF0gRkO25AfxKou17G5CRAmHr5MokRiNxgWBpvb29pDub7FYFnRwampqkmppRERJK5iTwlfmjambdnvQeKhL8tcKRoMG2+8ukrQmUbRds08K3q7XqLBMoi7aWrUKy7OFu0zzNT0lA7HxdIB4WJdILlq18N9hBzs4JaSkCTgRERFR/DEP2NH4y24M2MTf6Mw3YJtA46EumAfsMq2MKHHIFQZ6+6lNKA3xAEOpXo2DT1bDVKqLeA07TSsirrGgXtVKSesREcmNr5MoEe3du3fu446OjttGzglpbm6e+9hoNKKxsVHKpRERJaU78rKgTFMIbjP4h9CG1+vD862/w8k+m6RryMlMxxu7TVCl83QSJbZrDuGAk1Tdm/zELsJiwImSwRWR97MKBXCnNitKqyFaSLyDEwNOiYivSImIiEgWl4ed+EHrWUzMeMK6v2vagx+2neWbfSLIEwZaXZCNww1b8ONH70GlSICqsliLHz96Dw43bImoc9N8D1YUhBywCqRUr8YDaw2S1CIiiga+TqJEVVtbi/r6+rnPX3nllaDu53A4Foy3mx92IiKiwNKVaaKhi8E/nFx+7eOL+Kez30i6/5zMdLQ8VY2KolxJ6xLFwlWRDk5SB5zEjp/0WvlanhLfoEjAqSg3C5np0nRGIwqVTqSDk93FEXWJKD3WCyAiIqLkM+vx4qVjX4d90s7PNe3Bi8e+wuGGLchQMpdNqevBigKU/qYv5C4fS5kfBspQpqFuXSHq1hXCYh1Hp2UEN50zcM24oVGlY3mOCjXGfFlGv2Uo07Bvx3o0HuqCazr8vxWaTCX27VjPvxFElDD4OokSXUtLC8xmMywWC1599VU8/vjjMJlMgvdpaGiY6/a0Z8+eBaPuiIhIWIleLdgh4/OLVmSmp+HNz3ol3W96mgJHntmKb92RJ2ldir5LN5z4/KIVQ2NTmJhxQ61KR1FuFu5fa8CawpxYLy9qRDs46SQOOIkcSxkYcWHa7WH4gxLaoEhwMJhRq0Ry0WlEAk7s4JSQGHAiIiIiyX16YViSIAZwawzLZxetqFtXKEk9okQUjTCQ0ZAtS5BJyOqCbByo3xB2FxNNphIH6jdI1lWKiCga+DqJEp1Wq0V3dze2bdsGs9mMqqoqtLa2Lujs5OdwONDQ0IC2tjYAt8JN+/fvj/aSiYgSmthon4s3nLh4wxlUrbLlGuRnq9DVLz7q1u31QZnGEHWimnF78eG5IbzbOYBT/UuPLfzJB+exeZUeT9SU4uG7i5J6DKHP58M3UR5RJ3aswusD+m9OYG1R6oTMKPmIjagr1jHgRLEjNqLOMTELn88HhUJ4HDDFl+R9tUJEREQxc9R8Tdp63VclrUeUiPxhILUqvCv74jUMZCrVoeU71SGPqyvVq3HwyWqYSnUyrYyISB58nUTJwB9y8oeVdu3ahaqqKhw8eBAdHR1oa2vD3r17UVZWhra2NhiNRrS3tzPcREQUovPXx9BxfliSWmXLNTj67L1oe+ZefPxf78N3akpF79Nx/oYk+6boOn99DA///At8773TAcNNfqf6bfjee6fx8M+/wIWhsSitMPpGXDOYmvUKbiN5B6cgjr9w5DQluqsiAacSdnCiGNKKjKib8Xgj7q5N0ceAU5jGxsZw5swZfPLJJzhz5kysl0NERBQ3eofHcWbQIWnN04MOWDiXnihpw0CrC7JxuGELfvzoPags1gpuW1msxY8fvQeHG7bEXViLiEgMXydRstmzZw/sdjuam5uh1+uxf/9+1NXVzXVteuyxx9Dd3Y3e3l6OpSMiCtEJywh2vdUJmyvy8Sn5GhX++3/eBP0fRrWsKczB//uRu0U7GxyXKFxF0eP/ubFYXSHdz2J1YdebnThhGZFpZbEl1r0JkL6D0x15WdCIXKTWy9fxlMBc026MiDxHFeul/b0iCoVOJOAEcExdIuKIuhCMjY3h4MGDeOWVV+BwOG673WQy4cUXX8Sf/dmfRX9xREREceJEnzwHQjotI1Efn0UUj/xhoM8uWnG0+ypOC5woryzWYmfVSjyw1rDkWLp4kqFMQ926QtStK4TFOo5OywhuOmfgmnFDo0rH8hwVaoz5/DtARAmNr5MoGWm1WjQ2NqKxsTHWSyEiShrnr4/h6Xe6MD7tjrhWVkYa3n6qGqX5mgVfV6Yp8ODaAhw7Hbi7pPmKHTbXzFwwiuJbpD83zmk3Gt7pQuuzNagoypV4dbF1zS4ecFopcQcnhUKB8oJs/O7qaMBt2MGJEtmgXXz0ejE7OFEMiQW5gVtj6lbG5zXBFEDKBJyUSiW0Wi2qq6thMpmwadMm7NixI+j7t7S04JlnngFwa1bvUrq7u1FfX4+qqiq0traitFS8xSsREVGysTqnZal708kkPZFfsoeBjIbshF07EZEQvk4iIiIiMTNuL777K7Mk4SYA+JtdG1BZsvSZu4e+JRxw8vmATy8MY2fVSknWQvKR6ufGOe3Gc4fN+PD790GVHt8XSoXimkgHJ7VKibxl4ifCQ7XawIATJa9Bm3hwkCPqKJbERtQB7OCUiFIi4NTS0gKfzwe73Y729nZ0dHRgz549QQecXnjhBbz66qtzwSaFQrHkdj6fDz6fD11dXSgvL0dvby9DTkRElHLkmlnsmpHmwB5RsmEYiIgocfB1EhEREYn58NxQyOPFhHiWvl4bAHDfGgPS0xRwewNv9AkDTglByp8bi9WFj84N4ZENd0pSLx5cFengtEK7LOC5v0iUFwgfr7HcHIfX60NamvT7JpLbFZtwBydVehoM2ZlRWg3R7bRBdHCSYhQwRVfyxK8FNDc3Q6FQLHhx8sILLwR135aWFuzfvx8+n++2GsDCbk7+2xUKBbxeL6qqqjA2NibNgyAiIkoQapHZ8uHSqFIil01ERERJjK+TiIiISMy7nQOS1jt0InC93KwMbDHqBe//+SUrZtxeSddE0ovmz00iEuvgtELi8XR+q0UCTlOzXtG1EcWrQZGAU7FuGcN7FFMZyjTkZAkfL3FMzEZpNSSVpA84jY6Owmw2A8BcSKmxsRG5ueLzg/v6+tDU1DQXWpofZvL5fCgrK0NtbS3KysrmujfNZ7fb8dOf/lTaB0RERBTnDDnyXJWxPEe8nSgRERFRPOPrJCIiIhJycciJU/02SWue6rPh0g1nwNsfqigUvP/4tBun+qRdE0krFj83ieZaEB2c5CAWcAI4po4S11W7SMCJ4+koDuhExtRxRF3iSfqAU0dHx21f27VrV1D33bt374LP/SEnrVaL7u5u9PT04OOPP0ZPTw9sNht27ty5YIydz+fD/v372cWJiIhSSo0xP6HqEhEREUULXycRERGRkC8uWWWp+/nFwHVrv1Ugev/jF25IuRySWCx+bhJNrDo4lejVyFAKd7BhwIkSldiIumIdA04UezqRMXXs4JR4kj7g1N7evuBzrVaLhx56SPR+fX19aGtrW9C5yd8B6vjx46isrLytbmtrK7Zt23ZbJ6elQlZERETJymjIxsZiraQ1K4u1MBrEr3giIiIiimd8nURERERChsamZKl7Q6Buab5GtMvM8fPDt533oPgRi5+bRDI+7cbopPAJbLk6OGUo01CarxHchgEnSkQ+nw+DNuHgYAk7OFEc0LKDU9JJ+oCTxWKZ+1ihUKC6ujqo+7W1tS24nz/ctH//fmzcuDHg/Zqbm2/72uKQFRERUbLbaVohbb2qlZLWIyIiIooVvk4iIiKiQCZm3LLUdYnU3VYh3MXpim2CIYw4Fqufm0QhNp4OAFbK1MEJAFaLXIzQY+XvFiWem+MzmJz1CG5TrJfv94ooWGIdnOzs4JRwUiLgNL8Lk8lkCup+gUJJjY2NgvczGo0wGo0A/hiM6urqCmHFREREie/BigKUSnSFRqlejQfWGiSpRURERBRrfJ1EREREgahV6bLU1YjU3fatQtEaxy8MS7Ucklisfm4SxTci4+kAYIVWvk4zYh3SeobH2SGNEs6gXXg8HQCs5Ig6igNiHZwc7OCUcFIi4DRfeXl5UPfr6OiAQnFrLq6/e1NtbS1yc3NF71tbW7vgxYjD4Qh+wUREREkgQ5mGfTvWQ5OpjKiOJlOJfTvWI0OZ9C9ZiIiIKEXwdRIREREFUpSbJUvdQpG6phIttCIdDo6fvyHlkkhCsfq5SRRXRQJOGUoFCnIyZdu/WMBpdHIWN8d5gp0Sy6BNPOBUks+AE8WeXiMccLK5+Pc30aTcUTC9Xi+6TV9f35Jfr6urC2ofi0NUi0NWREREqWB1QTYO1G+AWhXeyTtNphIH6jeIHgQgIiIiSjR8nURERERLuV+mzoxiddOVaXhgjfA23QN22HkSMC7F6ucmUYiNqCvKy0JamkK2/Qfzmp0jICnRiAWc8pZlIDdLODhLFA1iI+ocHFGXcFIu4KTVakW36ejoWPLrtbW1Eq+GiIgouZlKdWj5TnXIY1hK9WocfLIaplKdTCsjIiIiii2+TiIiIqLF1hTmYPMq8Yu0Q7G5TI81hTmi24mNqfP6gM8ucUxdPIrlz00iuCbSwWmFdpms+zcaNKLb9FoZcKLEMmgT/r0qkWgsO1GkxEbUjU+7MeP2Rmk1JIWkDzgFE2harLu7e8mvb9y4Maj7j4yMLPjcaDSGvAYiIqJksbogG4cbtuDHj96DymKt4LaVxVr8+NF7cLhhCzsSEBERUdLj6yQiIiJa7ImaUknrPbk1uHr3rTEgXaSLTcd5BpziVax+bhLBNbtwp5kVWnmDGGpVumiIih2cKNEMivxeFevlDQ4SBUsnEnACAMckO1QmkvRYL0Buer0eo6Ojc59bLBY89NBDgvfp6OiAQnHrhbzP5wMAmEymoPfpcDgWfB5OyIqIiCiZZCjTULeuEHXrCmGxjqPTMoKbzhm4ZtzQqNKxPEeFGmM+jAaerCMiIqLUwtdJRERENN/DdxfBaNDAYnVFXMto0GD73UVBbZu3LAObVunRaRkJuM0XF62Y9XiRoUz6a+cTTqx+bhKBaAcnnfxBjNUF2YLrYAcnSjRXREbUFevYwYnig1ZkRB1wa0xdQU5WFFZDUkj6gJPJZILFYpkLLLW3t+Ppp58OuP3p06cXbA8ACoUipPF0XV1dAG6FoxQKBTs4ERERzWM0ZPMEHREREdES+DqJiIiIVOlpeGO3Cbve7IRz2h12nZzMdLyx2wRVevBhpG3fKhAMODmn3fhtnw33rl4e9rpIHlL93CzLUIb8cxPPZtxeDDunBbdZKfOIOuBWwOnzS9aAt7ODEyWSWY8X10enBLcp5og6ihM6jXgHJ7uLHZwSSXK8QhGwadOmuY99Ph/a2trgdDoDbv/KK68s+fW6urqg92k2mxcEpPR6aWcfExERERERERERERFRcqooykXLU9XIzgzvGvWczHS0PFWNiqLckO5X+61C0W04pi5+RfpzA9wK4oT6cxPPro9O4g+DWgKKVgcnIddHpzAeQTCNKJquO6bg8Qr/YjHgRPFCF0QHJ/sEA06JJOkDTvX19Qs+9/l82LZt25LbvvDCC2hra1sQTgJujZgTG2vnd/z48du+Fko4ioiIiIiIiIiIiIiIUttWYz7anq2B0aAJ6X5Ggwatz9ZgqzE/5H2uWq4R3d/xCzfgE0uMUMyE+3Pj99W1UZwddEi7qBgSG08HACui1MFJTC+7OFGCGLQLj6cDgOIoBAeJgrEsQ4lMka6E9onZKK2GpJD0AaeysjJUVlYCuDVqTqFQoKurC/n5+XjhhRdw7NgxvP3229i+fTteffVVAJh7ce4fMbd///6g99fc3Hzb10wmkwSPhIiIiIiIiIiIiIiIUkVFUS4+/P59+LtvV2JzmfCkiM1levzdtyvx4ffvi6gDj1gXp4GRCfRaXWHXJ/lVFOXif33v3yFNIb7tUt74rEfaBcXQNbt4wOkObZbs61gdxBhqjqmjRDFoEw44KRTR6YxGFAyFQgGdWnhMHTs4JZbw+1QmkJaWFlRXV0OhUMyFl+x2+1ygyc8faJr/sclkwtNPPx30vhZ3gDIajVi1alXkD4KIiIiIiIiIiIiIiFKKKj0Nj2y4E49suBOXbjjx+UUrboxNwTXjhkaVjsLcLNy/1oA1hTmS7G9bRQEOfmER3Ob4+RtBdaSh2HF7fRCZIBXQR+du4PINJ+6S6GcqlsQ6OBlyMpGZrpR9HTqNCvkaFUZcgU+i91gZcKLEcEUk4FSUmxWV3yuiYGnVGRgamwp4u4MdnBJKSgScTCYTnn/+ebz22msLwkeL26guNZqutbU16P289tprC2orFAo0NTWFuWoiIiIiIiIiIiIiIqJb1hTmSBZkCqSqVIe8ZRkYnQx8su/4hWE03V8u6zooMg6B/3/BePOzXvzN4xulWUwMiXVwisZ4Or9yQzZGXLaAt7ODEyWKQZHfq2K9OkorIQqOaAcngfApxZ+kH1Hnt3//fjQ0NCwINflH1vn/+fl8Pmi1WnR1dQXdfWl0dBR79+69LSTV2NgoyfqJiIiIiIiIiIiIiIjklK5MwwNrDYLbdA/Y4eA4l7gW6f+f989+IzqGKhGIdXCK5hitcpGuZ70MOFGCEPvbUKxjwInii06TIXi7nR2cEkrKBJwAoLm5GUeOHEFlZSV8Pl/Af01NTbDZbCgrKwu6dkNDAwDM1VAoFKivr0dubvizromIiIiIiIiIiIiIiKLpoYoCwds9Xh8+v2SN0mooHKMRnqz1eH1o/qJXotXEjljAaWUUOziJjXUcsE1gxu2N0mqIwicacNJH7/eKKBhakQ5ODG0nlpQYUTdffX096uvrcfr0aXR1daG3txcOhwNarRabNm3Czp07w6rb1NSETZs24be//S3MZjMsFgv2798v8eqJiIiIiIiIiIiIiIjk88CaAijTFPB4fQG36Tg/jD/duCKKq6JQRDqiDgCOdF3F9x66CwW5WRKsKPq8Xh+uO6YEt4lmByexgJPH60P/iEv2MZREkXBNuzEiMs6rhCPqKM7oRQJONgacEkrKBZz8KisrUVlZKVm9bdu2Ydu2bZLVIyIiIiIiIiIiIiIiirY8dQY2rdLhhMUWcJvPLg5j1uNFhjKlBoUkDIdIB6dlGUr8m9XL0XH+RsBtZtxe/OJf+vDCf/iW1MuLCuv4NGY8wh2RVsRRByfg1pg6Bpwong3axUdXFjPgRHFGqxYeUSf2nEnxha88iYiIiIiIiIiIiIiIaM62ikLB251TbnT126O0GgqVY1K4G4VWnYHnHiwXrfPuiYGEHd0jNp4OiG4HpzvzsqBWKQW36Rkej9JqiMIzaBP/vWIHJ4o3uiBG1HkFulZSfGHAiYiIiIiIiIiIiIiIiOZs+1aB6DbHBbr/UGyNinSjyFuWAVOJDveW5wtu55rx4L9/2S/hyqLnmj2IgFMUOzgpFAqUG4S7OPVYGXCi+DZoE+7gpEpPgyE7M0qrIQqOTiPcwcnruxXcpsSQsiPqxPT398PhcAAANm7cGNO1EBHFK4t1HJ2WEVid05iY8UCtUsKQk4kaYz6MIm/WpKxBRERERERERERE0jEasmFcroHlpivgNscvDOP/+Z/WRXFVFKzRSeGAk39cz3cfXI0ve0cEt/37f+3H0//OiOzMxDqlKNbBKScrHTlZwie9pba6IBtfXRsNeDs7OFG8uyIScFqpW4a0NEWUVkMUHK1IBycAsE/MIE9klB3Fh8R6NSKTTz75BO3t7ejo6IDZbF5wm06nw82bNwXv39fXh6NHj6K3txc2mw0WiwUvvvgi/uzP/kzOZRMRxcSsx4tPLwzjqPkazgw6ltzm9eM92FisxU7TCjxYUYAMZZrkNYiIiIiIiIiIiEg+D1UUwPIvfQFv77vpgsU6zosU45AjiA5OAHBveT42FmsDHqMFboWl3jt5BQ33GaVcouzEOjhFs3uT3+oC4d+VXus4vF4fAyIUt67ahQNOHE9H8UhsRB1wK+C0CpoorIYilbIBp7GxMezduxcHDx6c+5rPd/tsxaW+tlhZWRn+4R/+AadPn567z9NPP41t27YhNzdXukUTEcXY5WEnXjr2NQZEUvoAcGbQgTODDpT+pg/7dqyfe/MmRQ0iIiIiIiIiIiKS17ZvFeJtgYATABw/P8yAUxxyTM4I3q5ddutkr0KhwHcfXI2GX3YJbt/yGwuerClFVoZSsjXKTayD00pd9ANOYiPqpma9uOaYRDFDIhSnxDo4Fev4s0vxRxdEZyb7hPDzJsWPlGyH8eyzz0Kn0+HgwYPw+Xxz/xQKxYJ/oejo6FgQhnI4HPjRj34k9dKJiGLGPGBH4y+7gwomzTdgm0DjoS6YB+yS1CAiIiIiIiIiIiL5Va/SITdL+Dr5jvM3orQaCoVYByftvJO92yoKsLYwR3D7Yec0jpqvSrK2aEnEDk4A0GPlmLpUcemGEy1fWPBX//x7vHDsd/irf/49Wr6w4NINZ6yXtiSfz4dBm/DvVbE++r9XRGJyszIg1hjP7hJ+3qT4kVIBp/7+ftx1110Lgk3zw0z+r4VDq9Xipz/96VxNn8+H5uZm9Pf3S/gIiIhi4/KwEz9oPYuJGU9Y93dNe/D/OHIG//XImYhq/LDtLOeQExERERERERERRUGGMg33ry0Q3KZrwI5RkTANRd/opMiIunkBp7Q0BZ57sFy05luf98Lt8Ua8tmjw+XyiHZxWxKCDU2m+GukiZ9l7efw7qc24vfins9/gsbc68e//9gv85IPz+MW/9OG9U4P4xb/04ScfnMe//9sv8Nhbnfins99gxh0/v3MjrhlMzgqf3+GIOopHaWkKaEXG1LGDU+JImYBTX18fqqqq0NvbuyDY5A81NTY2orW1FTabLeyQ0549e6DVahd8bf4IPCKiRDTr8eKlY1+HHUzym5z1Ymo2shfjrmkPXjz2FWYT5I00ERERERERERFRIqv9lnDAyeP14bNLw1FaDQVLtIPTsoUnev/j+jtEgwmDtkn88++uR7y2aBibdGN82i24zQpt9IMYGco0lOYL75cX+Cav89fH8PDPv8D33juNU/02wW1P9dvwvfdO4+Gff4ELQ2NRWqEwsfF0ALCSI+ooTmlFxtSJPW9S/EiZgFNdXR3sdvttwab9+/fDbrfjrbfews6dO28LKIWqoaHhti5ORESJ7NMLwyGPlJPTgG0Cn120xnoZREREIbFYx3H45AB+1nEJ+z44j591XMLhkwOwsPU8ERERERHFsfvXGKAU6TjzyQUGnOLJ1KxHtMvK4hO96co0PHO/eBenNz7rgdcbXpOAaLrqED+eHYsOToD4mDoGnJLTCcsIdr3VCYvVFdL9LFYXdr3ZiROWEZlWFrzBIM4TlYgE+IhiRccOTklDeHhyknjttddgsVgWjKLTarU4fvw4KisrJd3Xiy++iNdee23uc4fDgU8++QQPPfSQpPshIoqWo+ZrsV7CbY52X0XdusJYL4OIiEjQrMeLTy8M46j5Gs4MOpbc5vXjPdhYrMVO0wo8WFGADGXKXINCREREREQJQKtWoapUh1N9gbuNfHbRCrfHi3S+n4kLYyLj6QBAu+z2ThY7q1bgZx2XMOycDni/SzfG0XioC4acTKhV6SjKzcL9aw1YU5gT0Zql9o1jSnSbFdrYBZw+Oncj4O091vG5RgqUHM5fH8PT73SJdhULxDntRsM7XWh9tgYVRbkSry54V+3CYx/zlmUgN0u4Sw5RrOjYwSlppMSrzVdeeWVBuEmn06G7u1vycBMA5OXlwWg0Lvhae3u75PshIoqG3uHxgCdkY+n0oIMdL4iIKK5dHnZid8tJvPz+OdHn0jODDrz8/jnsbjnJKzWJiIiIiCjuiI2pG52cRdeAPUqrITGjQQSc8pY40ZuZrkTjfcYltl6o4/ww3js1iF/8Sx9+8sF5/Pu//QKPvdWJfzr7DWbc3rDWLLVrduFOM6r0NORrhLt5yEWsg5NjYhYjLnYSSRYzbi+++ytz2OEmP+e0G88dNsf0d+zKiPDvVbE+NqFBomBo2cEpaSR9wOn48eNwOBwAMJd43r9/P8rKymTbZ21t7YJ0tdlslm1fRERyOtEX+7angXTGQUtWIiKipZgH7Gj8ZXfII14HbBNoPNQFM08MEBERERFRHNn2LfFO6j/5n+fR8oUFl244o7AiEuIIpoNTgBO9395cctv4umCc6rfhe++dxsM//wIXhsZCvr/UrjmEO82s0C5DmsjoRbmsNoh3u+LFT8njw3NDIY+lC8RideGjc0OS1ArHoEhwsETP8XQUv/QioVYbg6UJI+kDTq2trQs+12q1ePrpp2XdZ1VV1dzHPp8PFotF1v0REcnFKtCOONZuOvlig4iI4s/lYSd+0HoWEzOesO7vmvbgh21neTCTiIiIiIjihnG5BqvyhU9cf3VtNG67+aSaYMbs5C0xog4ANJnp+M/3ht8gwGJ1YdebnTgR44tTgwk4xUp5gUZ0m15OL0ga73YOSFrv0Alp64XiisiFfMU6BpwofomFdzmiLnEkfcCpo6MDCoVirqPSY489Jvs+9Xr9gs9ttsCzqYmI4lm4J2ejwTUTWUtXIiIiqc16vHjp2NcRP3+6pj148dhXmPXwZAAREREREcWeQqFAZYku6O3jrZtPqnGIjNlJT1NAo1IGvL2mXB/wtmA4p91oeKcrpv/vr9njN+CkVqWL7p8XPSWHi0NOnOqX9hzxqT5bTDrluT1eXB+dEtymmB2cKI7pOKIuaSR9wGlxuKi8vDzqa/CPyCMiSjRqgTe6saZRpcd6CURERAt8emE45LF0gQzYJvDZRasktYiIiIiIiCJxwjKCD7++HvL94qWbT6oZFRlRp1VnQKFYejzbjNuLHx37KuI1OKfdeO6wOWZdvEQ7OOliF3ACgPKCbMHbGXBKDl9ckue4zucxOF50fXQKHq9PcBsGnCie6UQ6OE27vZiM46YP9EdJH3BaHC4yGo2y73PxSDqtViv7PomI5GDIyYz1EgJaniOctiYiIoq2o+Zr0tbrvippPSIiIiIiolCdvz6Gp9/pwuRseEGVeOjmk2rExuwEGk8HAB+eG4LF6pJkHRarCx+dG5KkViimZj24OS7ciSOWHZwAYLVBOODUy4BTUhgaE+54FK4bMtUVIjaeDgCKYxwcJBKiFengBLCLU6JI+oDT4kDT4vCRHH77298KroGIKFHUGPNjvYSA4nltRESUenqHx3Fm0CFpzdODDlisPKhJRERERESxMeP24ru/MmN82h1RnVh380k1jknhE7RCJ3nf7RyQdC2HTkhbLxhi3ZuA2HdwWi3Swemb0Sm4Ivy9o9ibmJHn/6FLprpCBkUCTgpF7H+viISIjagDGHBKFCkRcPL5fHPtNtvb22XfZ1tbGxQKxdx+q6urZd8nEZEcjIZsbCzWxnoZt6ks1sIocpULERFRNJ3ok2fkQidHORARERERUYwkQzefVCTWwUkboIPTxSEnTvXbJF3LqT4bLt1wSlpTzDfBBJxi3cFJJOAEAL284CnhqVXpstTVyFRXiFgHp6LcLGSmK6O0GqLQiY2oAwC7S/j5k+JD0gecTCbT3Mc+nw8dHR0YG5OvFWpLS8ttX9u1a5ds+yMikttO04pYL+E2O6tWxnoJREREC1id07LUvenklUNERERERBQbydDNJxWNToqMqAtwkveLS1Y5loPPL8pTN5BrduGAU5oCKMrLitJqlhZMwKmHY+oSXlGuPD9nhTLVFTIo8ntVrFNHaSVE4eGIuuSR9AGnxx9//LavNTY2yrKv0dFRNDU1zXWLAgCtVouHHnpIlv0REUXDgxUFKNXHz4vTUr0aD6w1xHoZREREC0zMeGSpG4u249FmsY7j8MkB/KzjEvZ9cB4/67iEwycHOJ6PiIiIiCiGkqWbTyoSCzhply19kndobEqO5eCGTHUDERtRV5ibhQxlbE+P6jUq0W4iDDglvvtlOo8hV10hYiPqiuPoHBLRUlTpacjOFO5+5mDAKSFEv4ddlFVWVqKsrAz9/f1zY+NaW1uxadMm/OAHP5B0X9u2bZv72D+eTq4wFRFRtGQo07Bvx3o0HuqCazr8k7fLMtIAKDA5G34NTaYS+3asj/kbUCIiosXUKnnacMei7Xg0zHq8+PTCMI6ar+HMoGPJbV4/3oONxVrsNK3AgxUFfP4nIiIiIooiObv5rCnMkaU23SI2oi4vwIi6CZkusIn2hTtiHZxiPZ7Ob3VBNn7bbw94OwNOiW9NYQ42r9JLGhbdXKaPyd9Q8YBTfPxeEQnRqjMwPh34Ocku8vxJ8SEljhA3NzfD5/MBwFzIac+ePXjuueckqT82NoZNmzbBbDbf1r3plVdekWQfRESxtLogGwfqN4R98laTqcTfPLYRf/NYZDUO1G8Iqn0vERFRtBlyMmWpuzxHvH1york87MTulpN4+f1zAcNNfmcGHXj5/XPY3XKSB3eJiIiIiKIoWbr5pCKxDhTaAJ2D1DJdYBPtC3euinRwWqGLjyCG2HHuHnY1TgpP1JRKWu/JrdLWC4Zr2o0Rl/DflRJ2cKIEoBMZU8cRdYkhJQJOtbW12Llz520hp+bmZqxZswYDA+HPfT527BjKyspgNpvnvubv3tTS0hLx2omI4oWpVIeW71SHPK6uVK/GwSerYSrVSVKDiIgoHtUY8xOqbqyYB+xo/GU3BkSu/FtswDaBxkNdMA8EvrqViIiIiIikkyzdfFKNx+vD2JTw9zhQwKkoN0uOJaFQprqBJEoHp3KDcMBpYGQCM25vlFZDcnn47iIYDRpJahkNGmy/u0iSWqG4KvI7BXBEHSWGQM9/fmIdECk+pETACQDefvttlJWVzX3uDzn19PTAaDRi+/bt+PWvfx1UrbGxMbz99tu46667sGvXLtjt9rlQ0/zRdDt27JDr4RARxcTqgmwcbtiCHz96DyqLtYLbVhZr8eNH78Hhhi0LrkaRogYREVG8MRqysVHkeS1UlcVaGEUOeCaSy8NO/KD1LCZmwhtX65r24IdtZ9nJiYiIiIgoCpKlm0+qGZsUPzkbaETd/WsNUi9H1rpLcXu8ot3HEqWDk8frw8CIK0qrIbmo0tPwxm4TcjIj+9uXk5mON3aboEqP/qn9K0FcpFasY8CJ4h87OCWHlHklmZeXh+7ublRVVaG/vx8A5sbJ+Xw+dHR0oKOjA1qt9rb7vv3223A4HOjt7UVXV9dct6b5HaHmq6+vx5tvvinfgyEiiqEMZRrq1hWibl0hLNZxdFpGcNM5A9eMGxpVOpbnqFBjzBc8IStFDSIioniz07RCdORaSPWqVkpWK9ZmPV68dOzrsMNNfq5pD1489hUON2xBhjJlrtchIiIiIoq6ZOnmk2ocQQSctAFO8K4pzMHmVXqc6rdJtp7NZXqsKcyRrJ6YG85peLw+wW3ipYNTMBf09lrHcVcUv38kj4qiXLQ8VY2n3+nC+HToXexyMtPR8lQ1KopyZViduEGRgJMqPQ0FOZlRWg1R+HQiHZzsIqMYKT6kTMAJALRaLdrb21FXV4e+vr65YJK/8xIA2O23Rh74P3c4HGhqapqr4f+6/37z+Xw+NDU1MdxERCnDaMiOOIQkRQ0iIqJ48GBFAUp/0xfy+LWllOrVeCCKV7nK7dMLw5J8X4Bb4+o+u2hF3bpCSeoREREREdHt7l9rwE8+OC9LXZKPI4juE9oAHZwA4ImaUkkDTmsKo3vc9xuH+CitlXHSwenOvGVYlqHE5GzgC4HYwTh5bDXmo+3ZGux840u4Qrj46468LPz9f94Us3ATIN7BaaVuGdLSFILbEMUDnUasgxNH1CWClLvk1Wg0ore3F88//zx8Pt+CLkz+f/P5t1lq2/nb5OXlobW1leEmIiIiIqIUlaFMw74d66HJVEZUR5OpxL4d65OqQ9FR8zVp63VflbQeEREREREt5O/mI6Vod/NJRcF1cAoccHr47iIYDRrJ1vOrk1dw/PwNyeqJuWYXDzjdGScdnNLSFCgvEP5eM+CUXCqKclGiD22U27c3l8Q03AQAV+3CASeOp6NEwRF1ySF5jpiHaP/+/eju7sbOnTsXhJeAhWGnpf4BC4NPe/bsQV9fH3bu3Bmrh0NERERERHFgdUE2DtRvgFoVXshJk6nEgfoNQbWqTxS9w+OSju4DgNODDlisPNBLRERERCSnJ2pKJa335FZp69HtxkQCTgoFkJMVOOCkSk/DG7tNyMmUZgCM1wc8d9iM30rYFUrINZEOTjp1BtSq+Blus1pkskEP3/cmFZ/Ph6tBhPDm+91VhzyLCcGgTXjNoYa2iGJFKOALAM4pN9web5RWQ+GKn2fxGKisrERrayv6+vrw1ltv4ejRo7BYLEHd12Qy4fHHH0djYyPy8vJkXikRERERESUKU6kOLd+pxovHvgppLFupXo19O9YnVbgJAE70jchSt9MywjG3REREREQy8nfzsVhdEdcyGjTYfneRBKsiIQ6R8Tq5WRlQioySqijKRctT1Xj6nS6MT7sjXtO024u//O+/xZFnapCmUODzi1YMjU1hYsYNtSodRblZuH+tQZLuXmLhkRVxMp7OT+z9f++wC16vj+O/ksTo5CycIf5OnRl0wOfz3TaBKFp8Pp/oiLpifXz9XhEFItbBCbjVCXF5dmYUVkPhSumAk19ZWRn279+P/fv3Y3R0FB0dHbBYLBgZGYHD4QAAaLValJeXw2g0Ytu2bbFdMBERERERxbXVBdk43LAFn1204mj3VZwW6GBUWazFzqqVeGCtIanG0vlZndOy1L3pZNtoIiIiIiI5+bv57HqzM+ST8vPlZKbjjd0mqNKT7/1OvBELOOUtE+5e4bfVmI+2Z2vw3GGzJAG3sSk3Hvm7f8Gsx7fk7T/54Dw2r9LjiZpSPHx3Udg/K2IdnFbEyXg6P7GA0+SsB3/dfhF/unEFxzsmAbGg0FJujs/gqn0SxTHqkjTimsHkrEdwG3ZwokQRVMBpYoYBpzjHgNMieXl5HDVHRERERERzLNZxdFpGYHVOY2LGA7VKCUNOJmqM+YIdhDKUaahbV4i6dYVzNW46Z+CacUOjSsfyHJVojWQwMSN8ICxcrpnIryQmIiIiIiJhkXbzyclMR8tT1agoypVhdbSYY1L4QhCx8TzzVRTl4sPv34ePzg3h0IkBnOqLbMxcoHCT36l+G07122A0aPDGblNYPzPX7MIBkhXa+ApiBNPB+b992ov/9mmvJAEwii2xUW+BnB50xCzgNBhEKGulLr5+r4gCCeY50C4SFKbYY8CJiIiIiIhokVmPF59eGMZR8zWcCdB96fXjPdhYrMVO0wo8WFEg2H3JaMhO+iBTIGqVUpa6GhXfzhIRERERRUO43Xz0GhV+1bCF4aYoGpWog5OfKj0Nj2y4E49suBOXbjjx+UUrboxNzV24U/iH8XK/uXwTf/XPv49k6XMsVhd2vdmJlqeqsdWYH/T9fD6feAenOBtRJ9YZZz4pAmAUW+F0cAKA01fs+N823CnxaoITzJpjFb4iCpVeI97ByeZix/h4xyPCRERERERE81weduKlY19jIIiDOGcGHTgz6EDpb/qwb8f6oK6+TDWGHHnaOi/PET8oQURERERE0ginm8+9xnyGMKLMMSkccNIGMZ4nkDWFOQHHpK0pzMHN8Wm8+Vlv2PXnc0670fBOF1qfrQn6Z8jmmsHUrFdwm3gaUXfCMoKn3+kK+X7hBsAo9sINOAW68C4artqFQ4N5yzJCDk4SxYpapYRKmYYZT+DnCscEA07xjj0MiYhSkMU6jsMnB/CzjkvY98F5/KzjEg6fHIDFOh7rpREREcWUecCOxl92BxVumm/ANoHGQ10wD9hlWlniqpHpgKtcdYmIiIiIaGn+bj5Hmmrw8X+9D+vuEA6enB8ai9LKyE/sxKxWxiDCnu1r8Vj1SsnqOafdeO6wGTNu4dCS3zeOKdFtVsZJB6fz18fCHvsI/DEAdoG/YwnlqsgIxUDOfTOGaXfw3b6kdGVEeM3F+vj4nSIKhkKhEB1TxxF18Y8BJxkdPXoU+fk86E5E8WHW48XH54bQdKgb3245ideP9+C9U4N4/8w3eO/UIF4/3oNvt5xE06FufHxuCLMCCWYiIqJkdHnYiR+0nsXETHgHjVzTHvyw7Sx6hhkYns9oyMbGYq2kNSuLtSk78o+IiIiIKB6sKczBo5XCI5MsN11whRngoPCId3CSL+CkUCiw78/WY/2KPMlqWqwufHRuKKhtrznEwyPx0MFpxu3Fd39lDjvc5BdqAIxiL9wOTjNuL85fd0q8muAMioSySjiejhKMTqSToZ0dnOJe0gScxsbGcObMGXzyySc4c+YMxsZil1o+c+YMNm3ahMceewwOhyNm6yAi8rs87MTulpN4+f1zou1Mzww68PL757C75SRP0BIRUcqY9Xjx0rGvww43+bmmPXjx2FcMCi+y07RC2npV0l0VTERERERE4bnnTuEgi893q1MNRc+YSMBJ7lFS6co0ZKZLe+rx0ImBoLYTG6W1LEMpa8ArWB+eG4LF6pKkVigBMIotj9eHayI/o0LOXIlNx3CxgFOxjgEnSixizwMOFzs4xbuEDjiNjY3hwIEDuOuuu6DT6VBVVYW6ujpUVVVBp9Nh06ZN+Ou//uuorufZZ59FVVUVzGYzfD5f1PZNRBQIR+0QERGJ+/TCcMjPlYEM2Cbw2UWrJLWSxYMVBSiV6Kq+Ur0aD6w1SFKLiIiIiIjCt+5O4RF1APD1tdEorIQAwOfzwSEyWkcr0rkiUheHnOiS+HjyqT4bLt0Q715zzSEcHlmhWwaFQiHVssL2bmdwga1gBRsAo9i6PjoJtzf888anRS5cl4Pb4xUd/biSHZwowbCDU+JL2IBTS0sLdDod9u7di97eXvh8vtv+dXd3Y8+ePVi+fDl+/etfy7qet99+G2VlZTh48CCDTUQUNzhqh4iIKDhHzdekrdd9VdJ6iS5DmYZ9O9ZDk6mMqI4mU4l9O9YjQ5mwb2WJiIiIiJKGVq3CSp3wyK+vv2EHp2hxzXhEAxRyd3D64pI8F/t8HsRFRGLdceJhPN3FISdO9dskrRlsAIxiK9zxdH5ikznkcH10Ch6RvykcUUeJRqcRfh5kwCn+JeRR4e3bt+OZZ56ZCzIpFIol/wG3Eus2mw319fV47rnnJF+LfxxdU1MT7Hb73Hoo+pqamqBQKGCxWGK9FKK4wFE7REREwekdHpf8QNHpQQcsVgaE51tdkI0D9RugVoUXctJkKnGgfgNWF2RLvDIiIiIiIgqX2Jg6dnCKHkcQJ2XlHtE2NCbc7SVcN4KoG0wHp1iLZQCMYuuqLfzxdAAwMDKBkfFpiVYTnGBCWcVx8HtFFArxDk4cURfvEi7gtH37drS3ty8INgUyP+zk8/nQ3NyMhx9+WJJ1jI2N4fHHH18wjk5sPSSPjo4OlJeX4+DBgwAAh8MR2wURxQmO2iEiIgrOib4RWep2WuSpm8hMpTq0fKc65HF1pXo1Dj5ZDVOpTqaVERERERFROO5ZITym7vLwOKZmI7sAk4IjNp4OALQyd3CamHHLUtcVRF3RgFMcdHCK9uPjnQAAskFJREFUZQCMYivSDk4AcPaqI/KFhGBQZM0KRXwEB4lCIRZwCiYsTLGVUAEnf7hpfmjJb6kRdfP5t29vb8ef//mfR7SO1157DTqdDm1tbQu6SM3n8/lgMpnQ1dUV0b5oaRaLBXv37kV5eTnq6urYtYloCRy1Q0REFByrU54r4G46+YZ4KasLsnG4YQt+/Og9qCzWCm5bWazFjx+9B4cbtrBzExERERFRHLp7hXAHJ4/Xx/FZUTI6KR5wypO5g5NalS5LXY1IXde0WzTgJTZOMRpiGQCj2BILOK1fkQdlmnATjdNXHBKuSNygXXjNRblZyEwPr0s3UayIdTJ0TMzeljOh+CLPKw0ZtLS0zIWb/PyhJa1Wi9raWmzatAlarRYOhwPt7e3o6OhYsJ3/v62trairq8Nf/uVfhrSGTz75BE1NTbBYLHM/2EsFm7RaLVpaWrBz584IHzUBtzoy7dq1C8CtYNP8MJPRaJz7f05EfyTnqB2jgScXg2GxjqPTMgKrcxoTMx6oVUoYcjJRY8zn95CIKM5EOs41EB5gDCxDmYa6dYWoW1c495x50zkD14wbGlU6lueo+JxJRERERJQAxEbUAcDX18bwJyu18i8mxQXTwSlP5g5ORblZstQtFKkr1r0JiI8OTrEKgFHsiYWF1hTmwAcfvr42FnAbqc/5iLkiMlavWBdad26ieCDWwcnt9cE57UZulrzPlxS+hHjGGx0dRVNT04IwkT9g1NzcjIaGhtvu8/zzz2N0dBR79uxBS0vLbSGnxsZG7Nq1C7m5wu1TgVvj6BoaGuY6NgFLB5sAYO/evXjllVfCfqy0NH9YzWg0ora2FnV1daitrYXJZEJ5eTkDTkSLyDlqhycaA5v1ePHphWEcNV8L+Gbj9eM92FisxU7TCjxYUYAMZUI1UyQiSkpqlTxXm/EAY3CMhmy+viAiIiIiSlCGnEwU5mbixljgzrhffzMaxRWlLsekcBdhtUope7eV+9ca8JMPzstSV0hQAac46OAUqwAYxZ7YuLdi/TIsU6UJB5yuOOD1+pAm0ulJKuJrZsCJEo9OIx5ccrhmGXCKYwlxVnV+gMkfJDIajejt7V0y3OSXl5eH5uZmfPzxx0uOkfvRj34kuu/F4+j84/Hmr8fn86G+vh69vb0MN8lAq9XOfZ97e3vR3t6OPXv2wGQyxXppRHGLo3ai7/KwE7tbTuLl98+JXklxZtCBl98/h90tJ9EzPB6dBRIRUUCGnExZ6i7PEb4iiIiIiIiIKBncLdLF6dw1BpyiQayDk1bm7k3ArS40m1fpJa25uUyPNYU5gttcswsHnNLTFCjIiX0ISCyoFW91SRquaTdujgufWynRq1FZrBPcxjnthuVm9M4nXBXpOlWsj31okChUWpEOTgBgn+C50HgW9wGn0dFRtLW1LQgVabVamM1mlJWVBVWjtrZ2LuQE/HFkXXNzM/r7+5e8zyeffIK77roLP/rRj+bCNUt1bTIajWhvb8eRI0eCXg8Rkdw4aie6zAN2NP6yGwMiVzQsNmCbQOOhLpgH7DKtjIiIglFjzE+oukRERERERPHknjuFJ2WcH3Ji1uON0mpS19ikcMApL4iTulJ4oqZU0npPbhWvJ9bBqSgvC8oodb0REqsAGMXWVZEAHnAr4LSxRCu6nfmKI/IFBSGYUBZH1FEiEhtRBwA2BpziWtwHnOZ3RPKHjFpaWoIaLTdfbW0tGhoa5kJOfgcPHlzweX9/P7Zv3466ujr09vYG7Nrk7w7V09ODbdu2hfHIiIjkw1E70XN52IkftJ4NO1Tmmvbgh21n2cmJKIFYrOM4fHIAP+u4hH0fnMfPOi7h8MkBWKz8PU5URkM2NhZrJa1ZWazl2DUiIiIiIkoJd68Q7uA04/by2FcUxEMHJwB4+O4iGA0aSWoZDRpsv7tIdDuxDk4rtPHTaSYWATCKrStBXBhdrFejLF+DPJHfU7HpEVIJKpSVz4ATJZ68ZRlQiORdHQw4xbW4DzgdPHhwruOSQqFAbW0tduzYEVat5uZmaLVaAAu7OPm98MILKC8vR0dHh+A4usbGRvT19QmOxyMiiiWO2omOWY8XLx37OuKOWa5pD1489hWvZCOKY7MeLz4+N4SmQ934dstJvH68B++dGsT7Z77Be6cG8frxHny75SSaDnXj43ND/H1OQDtNK6StV7VS0npERERERETx6h6RgBMAfM0xdbJzTAqfkBULTkhFlZ6GN3abkJMZ2cWyOZnpeGO3Cap08VOZYh2cVujiJ+AUiwAYxZZYwCkzPQ2G7EykpSmwQeQCvNNR6uAUVCiLHZzo/8/e/wdHfd/5nu+rpVbrZ0stCf0wIAQtAsRAMAJj5MyxkwlMfM85nsmxpdybix3X1g1wnNya1NzMmEqy2bpVmzgF671zk9Q6AXbPXo/jzEkke09mZ7P2QE5iz9jCGNrYQDA/1CBLgH4gqaXWz5bUff9wYIyhv99W6/vt/nb381Hlqqj702+97aAffL+vfr8zUH6ey/Tn4ciEcWAY6eXogNPly5cVCoVue2zfvn2LqvnJKU6hUEjf/va3VV1drQMHDtx1Hd3Nx3bs2KGuri797Gc/U0WF+S/sAJAurNpJjd99MLDgtXTxdA9P6vfnBy2pBcBaFwfC2nX4bX3v12dN3yV1qiek7/36rHYdfpt3p2aYz6+rVWOVNRdmGqtK9Lm1NZbUAgAAAACnW1pRpMoS45uFZ6+Npaib3GU6wcnk/yMrrasv1+GntqosyZBTfp5Lh5/aqnX1iW1zMZvgtNxBE5zSEQBDevWY3ENoqCpR3h9XKG42CTid7xvTZGTOqtbiMuvZ485TrU1vtAfsZramjglOzubon3pHjx697WOfz6c//dM/XVTN//gf/+Mdjx04cEAjIyNxpzb5/X4dOXJE//RP/6RVq1Yt6vMDQCqwaic1Xg5ctbbeyV5L6wFYvED3iPb83ckFhxm7hye158UTCnSP2NQZrFaQn6dnH9uo0sLFrXktLczXs49tVEG+o/+qBQAAAACWcblcplOczl5jgpPdRqeMA04VKQw4SdJ2f7U6nm5JalrRfDSmldWJvS4yF1V/eNrwjJMmOEmLD4B5C90LCoAhvUwDTh/783nfCp/h2WhMer/X/u+nPSPGPS+vLL4VygIyjVngd8QkMIz0cvRV9yNHjtz63zfX0y3WqlWrbltTJ8lwHd3+/ft16dIlfeELX1j05waAVGLVjr26BsYt33f9bk9IwUEmvgBOcXEgrG+1v5f0GsqJmXn9dcd7THLKIKtry/Rc6yaVeJILOZUW5uu51k1aXUsgGAAAAEBuWb/ULOA0pmg0ZngGi2M6wanYeGKFHdbVl+vVbz6kn3xls7atqlrQa//x/WsJnesbnVbM5I/WMp/zVmklGwDz15Sq/ekWbWfbQsYwCwut+NhE8fuW+0zrWX1f4m7MQ1nO+5oCEmU2wWmECU6O5uiAUzAYlKRbK+V27txpSd0dO3bcqhlvHd2ePXs0MjKiv/mbv7HkcwJAqrFqx17HLg/ZUrczaE9dAAszOx/Vd185k3S46aaJmXl955XTmp2PWtQZ7NbcWKnDX9264J+hjVUlOvTkVjU3VtrUGQAAAAA414ZlxpNkJiPzujw0kaJuclNoyviGbCpX1H2cx52nRzct1a/2tuif/uohffffflpPbl8hl8nwl/9yKrHp+VdDxuvpJOdNcLppoQGwz66u1qvffIjJTRkkFovpwwRW1N1UWerRqiXGobdTH4asaM1Qz7Dx19UKi+49AelgPsGJgJOTOTrgFAqFbgsfbd261ZK6fr//ro/HYjE1Nzfr5MmT+tnPfqaKCuN3HACAk7Fqx16D4Rlb6t4I84sT4AS/+2BgwWvp4ukentTvzw9aUgupsbq2TC/tfkDf/9IGbTZZ+bq5wafvf2mDXtr9AJObAAAAAOQsswlOknTmKmvq7DI9O6/pWeM3V/mK0xNw+rg1dV7tfsiv//5LG7Xj03WGZ89cHUtoKnYiAad7KooS7jHVPh4A2+43DjlF5qLyuLlOn0kGx2dMvzYbPhEWMrsW9W7PyGLbMpRYKMuZoUEgEVVmE5wmWFHnZMktd02R4eHh2z6+uVpusZqamm79b5fLpVgsJp/Pp8OHD+vxxx+35HMAN3V2di7q9adPn7aoE+Sim6t2kl2xxKqd+BY71SWeicicLXUBLMzLgcTeJZhwvZO92nmv8YU7OEtBfp523lunnffWKTg4rs7gkG6EI5qIzKnU49YSr0ct/mr5a/gZCQAAAACNVSUqK3RrfCb+ta2z18b0F/ctS2FXuWNsyvxmbEWaJjjF86X7lunIH/oNz/zDqav6f/3ZWsMzV0eMA05LygpVVLC4NwGnSvOKSh0LDsd9/kL/+B2baeBsZpOQpDunId23wqdX3o1/bbJ/bEbXR6d0T4U9IaOhiYimZo3vf7CiDpmsstQ44BRigpOjOTrg9MkJTlVVC9vPG8/H69z8ReCTYSrAKg8++GC6W0COu7lq5zuvnF7QNJLGqhI9+9hGwk1xlHjs+UtxqcfRP5qBnNA1MG75Lvt3e0IKDo4ThslQ/poy/r8DAAAAAAN5eS7du7Rcxy/Hv9fCBCf7hBIIOPmKjW/optoXPl1rGor7L6eu6a92rjEM9FwNGV/zdup6urtZU+c1fH50alYD4RnVlTt3IhVu15PAPZlPTnC6z2SCkyS9+2FI92y05892Mj0DmcR8RR0TnJwso+YYlpezUxYAksGqHevVeAttqbvE66wLDUAuOnZ5yJa6nUF76gIAAAAA4AQbTNbUnbk6qlgslqJucksogZuxTpvgVFSQry+urzc88+HwpOmb0MxW1C33ZU/ASZIu9IdT0AmsYrbqrarUo7LC29/0vK6+XIUmqwitfnPmx5n1LBFwQmarNFlRNzU7r2mTKWZIn5wcE2HVqjsAyCSs2rFWi79aP/7tJVvqAkivwfCMLXVvhBltCwAAAADIXhuWGb9JfWx6Tr0jU9wYt0Ei63R8xc4KOEnSlzYv1cuBXsMzvz51TZtXVMZ93mxFXSZNcPLXlCrPJUUNcoDn+8L6N5+qSV1TWBSzaUh3+37ocedpw7IKneweifu6dz+M/9xi9Zp8TVUUF6jCgd9PgESZTXCSPgoO11dkxnrTXJOTAScAyHWs2lk8f02Z7mvwWfpOic0NPv5/ARxgMmLPuzMmIvFHrgMAAAAAkOk2LDOe4CRJZ6+NEnCygdmKuoJ8l0o8zrtR2+Kv1pKyQt0Yj/9ms398/5r+23/3abnz75xoE43GdC00bfg5lmXQBKeignytXFKq4OBE3DMX+8dT2BEWy2waUkOcAN7mBp9hwOn01VHNzkdVcJevi8UyD2VlztcUcDdmE5wkaWQyovoK1oE6EQEnwGZvvfXWol5/+vRp7d2716JuAFjp8eZllgacHt+y3LJaAJJn1wW/Ug+/egMAAAAAspd/SamKCvI0PRuNe+bM1TE9suGeFHaVG0ZNVtRVFHvkcrlS1E3i3Pl5enTTPfpf37wS98yN8Yje7BrSw2vunFp0Y3xGkfn4f96kzAo4SdKaWq9hwOk8K+oyillYaEWcwOd9K3yGr5uejep8XzihYOlCmYeyCKkisyUUcJpgG4NTcZcFsFlLS0u6WwBgk8+vq1XjP19WdwI7qc00VpXoc2sZLQw4QY230Ja6S7zmf3ECAAAAACBTufPztK6+3PANgWeujaauoRwSmjK+EZvIOp50+Yv7lhkGnCTp1+9evWvA6WrIeJWWlFkr6iRpTb1Xr57ti/v8xf6wYrGYIwNruF1kLqrrY8YTxuJNtDNay3jTuz0hWwJOPSPJhbKATJHIz8QRk+Aw0sf6uXUAAOSIgvw8PfvYRpUWLm7aS2lhvp59bKMt42QBLFyLvzqj6gIAAAAA4BQblpUbPn/m6qhisViKuskdIZMbsb5i5wacNi2v0Mpq48DEa2f7NBWZv+PxRAJOSzNtglNdmeHzE5H5hP69kX5XQ1My+3YXLyy0tKLI9E2Y734Yf4Vdsubmo6ZrH5cTcEKGKyrIN93iMDLJBCen4k5qjgoEAqqsrJTL5UrbP01NTQoGg+n+TwEAi7K6tkzPtW5KeqVVaWG+nmvdpNW1xn9xBZA6/poy3dfgs7Tm5gaf/DV8nQMAAAAAstuGpcbTRG6MRzQQnklRN7ljdMok4OTgCU4ul0t/cd8ywzMTkXkdPdd/x+NXR4yDPt5CtyocHO66m7V1XtMzF/vHU9AJFstsPZ0UP+Dkcrm02eT6pNG0vGRdH53WfNQ4ldWQYVPRgLsxW1MXIuDkWAScctTw8LBCoVBaewgGg2nvAQCs0NxYqcNf3arGBb5zobGqRIee3KrmRvNxswBS6/Fm4wtrC663Zbml9QAAAAAAcKJE1iWducqaOquZBZwqio1v5KbbX9y31PTMr09dveMxs0lGmbaeTpJWLilVQb7x+rkL/eEUdYPF+NAk4JSf59I9FUVxn79vhc/w9cHBCY1avEZrMaEsIJOYBX9ZUedc7nQ3gPTYsWOHRkZG0jpBye/3y+fzpe3zA4CVVteW6aXdD+j35wf18slevWvw7onNDT49vmW5Pre2hrV0gEN9fl2tGv/5sroT+Eu9mcaqEn1ubY0FXQEAAAAA4GyfqitTQb5Ls/PxJ4CcuTqmL3y6LoVdZT/TFXUOnuAkfTRN+zPLK/R+b/zw2+/PD2pkIqLK0n8Na5lNcFqWYevpJKkgP0+rlpTqgsGUpvMEnDKCWVhoqa9IboP7A5sbzN8Yfao3pIfXWHfd0SyU5XJlZnAQ+CSzCU6sqHMuAk45zOfzqbm5Od1tAEDWKMjP085767Tz3joFB8fVGRzSjXBEE5E5lXrcWuL1qMVfzZoqIAMU5Ofp2cc2as+LJzQxM590ndLCfD372EbCjAAAAACAnFDozteaOq/OXhuLe+bsNSY4WS00ZXwjNhPWtP3FfcsMA05z0Zh+c+a6dj3QeOuxbJzgJElr6ryGASdW1GWGnhHjsJDZJKTPLK9Qnksy2hj37ocjlgaczHquLy9SoTvfss8HpIvpBKcJAk5OlVEBp6efftqSOnebWmRV7U9yuVx6/vnnbakNAHAuf00ZQSYgw62uLdNzrZv0rfb3NBlZeMiptDBfz7Vu0upavhcAAAAAAHLHhqUVJgGn+M8hOZk+wUmSHv3MPfrB//EHwzDHr09duz3glIUTnKSPAk7S9bjPXxwIKxqNKS/PeJUd0stsGlJDpXHAqbTQrTV1Xn3QF39i1ymDTRLJ+HDY+GvKrGcgU1SVmk1wYkWdU2VMwCkWi+nQoUOW17Sr9s26BJwAAAAyV3NjpQ5/dau+88rpBa2ra6wq0bOPbSTcBAAAAADIORuWleuXJ+I/fzU0peGJiOnNRSRmbj6q8PSc4ZlMmOBUW16kB5uW6F8u3Yh75vjlYV0NTWmZr1ijU7MKzxj/e2fyBCcj07NR9YxMqrG6NEUdIRkfDpkEnEwmOEnS5hU+04DTzfvRVjBbq7e8KjO/poBP8pmsqAuxos6xMibgJP1rICnTagMAACBzra4t00u7H9Dvzw/q5ZO9etfgnVGbG3x6fMtyfW5tjelaupurLAfDM5qMzKvEk68abyGrLAEAAAAAGe3epRWmZ85eG9W/+ZR1a5Vy2ZhJuEkyv5HrFH9+31LDgJMk/cOpa3r6c02m05ukTJ7gZH5d6HxfmICTg41Ozpp+bZqtqJOkzQ2V+vvjPXGfD03O6srQpFYtsebPQu8i1+oBmaLSbEUdE5wcK6MCTlalT6U7A01W1o73OQAAAJCZCvLztPPeOu28t+5WMOlGOKKJyJxKPW4t8XoSCibNzkf1uw8G9HLgatwR0j/+7SXd1+DT483L9Pl1taZBKQAAAAAAnOTT93iV55LhqrEzV8cIOFkkkSkTvgyY4CRJj2yo13/7X84oMheNe+bXp67q6c816VooewNOjdWl8rjzDP87XBwY15+tT2FTWJAek6CQlNgEp/tW+EzPnOoZsSTgNDEzpxvjxt9PWFGHbFFpEvwdm57VfDSmfFaBOk5GBJzsCB/ZURMAAADZz19TltSEpYsDYX33lTMJrbo71RPSqZ6QGv/5MqvuAAAAAAAZpcTjVlNNmS4OjMc9c+baaAo7ym6jU+ZTJnwmkyqcoryoQDs+XavfnO6Le+aDvrDO94V11STg5MnP05KyQqtbTIn8PJdW15TpD9fH4p45b7C2DOn3YQLX/xKZhrS6pkzeQrfhOsZ3PwzpP2xevqD+7qY3galoiYSygExg9nMxFvvo5yvrdJ3H8W8Hj8ViGfsPAAAAIEmB7hHt+buTCYWbPq57eFJ7XjyhQPeITZ0BAAAAAGC9DcuM19SdvUrAySqhRAJOxZlzg/bPNy0zPfPrU1dNA05LfUXKy+DJG2vrvYbPX+gn4ORkPSbXAEs9+aYrsiQpL8+lzzQYfz+NNyV+ocx6llhRh+xhNsFJkkYSmJCI1HP0BKf9+/enuwVkoOHh4XS3AAAAcMvFgbC+1f6eJiPzSb1+YmZef93xng49uZVJTgAAAACAjLB+abn+t3evxn3+ytCkxqZnVV6UGZOFnGx00jjg5HJJ3iJH3w68zefX1ai8yK2x6fgTa3596po2mYQ+llVm5nq6mz5VZ3wNKDg4obn5qNz5jp9lkZPMJjg1VJUkvG1oc0Ol3rw0FPf5P1wb0/TsvIoK8hfU4yeZ9exx56nWm5lT0YBPSijgNBGR2KbrOI7+jeZv/uZv0t0CMsAnA02hUCg9jQAAAHzC7HxU333lTNLhppsmZub1nVdO66XdD6iAC1fAXQUHx9UZHNJgeEaTkXmVePJV4y1Ui786qbWSAAAAAJJnNsFJks5dG9MD/uoUdJPdQiYTJsqLCjJqklGhO1//duM9+s/v9MQ9czU0ZfrvvcyX2QGnNbXGE5wi81FdGZrkzXAO1WOy7m0hk5Dua/AZPj8XjenstVFtaaxKuObd9IwYB5yWVxZn1PcSwEhlqXnAesQkQIz0cHTACTBz4MCBOwJNP/zhD7Vjxw75fL609AQAAHDT7z4YWPBauni6hyf1+/OD2nlvnSX1gGwwOx/V7z4Y0MuBq3FHsv/4t5d0X4NPjzcv0+fX1RISBAAAAFLg3qXlpmfOEHCyhNmKOl8Ca7Cc5s/vW2oYcJKkCZM3ky3zZfYqLbMVdZJ0sT9MwMmhzNa9NSwk4LTCZ3rm3Q9Diw84mfVcmdlfU8DHlRW65c5zaS4ai3uGFXXORMAJGWHfvn0KBAK3Ph4eHr7t448LBAKqrKyU3++Xz+dTVdW//kBvb28n+AQAAFLm5UD8cfxJ1TvZS8AJ+KOLA2F995UzCYUIT/WEdKonpMZ/vqxnH9vIBWAAAADAZuVFBWqsLlH3UPzf189eHU1hR9krZDJhwleceQGnB1ZVq768SH1j00nXyPQVdct8xSouyNfUbPwg1/n+sP4vG+9JYVdIxHw0pl6TaUgLmeC0pKxQDVXF6hmOPxXq3Thv+loIo/qS1FCV2V9TwMe5XC75Sjy6MT4T94zZpECkBwEnZIRAIKCjR4/eCidVVVXJ7/ebvi4YDCoYDEr6aHXd8PAwAScAAJASXQPjcSfKJOvdnpCCg+Os20LOC3SP6Fvt7y14/WP38KT2vHhCz7VuUnNjpU3dAQAAAJCkDUsrDANOZ64RcLLCqMkEp4oST4o6sU5+nkuPbrpHh//5ctI1Mn1FXV6eS2vqyvReb/yvk4v94ynsCInqH5vW7Hz8qTDSwgJOkrS5odIwgHTqw9CC6n1SLBYzXVG30J4Bp6ssKTAMOLGizpkIOCEjHDlyJN0tAAAALMixy0O21O0MDhFwQk67OBBOKtx008TMvP664z0denIrk5wAAAAAG61fVq7/4/T1uM9fGhjXVGRexZ78FHaVfcwmTGTiBCdJ+ov7luV0wEmSPlXnNQw4ne8Pp7AbJOrDBCZNL3Qa0n0NPv3De9fiPn81NKWBsWnVlhctqO5NQxMR0+ssrKhDtqk0CQAzwcmZ8tLdAAAAAJCNBsPx3/2xGDfC/MUKuWt2PqrvvnIm6XDTTRMz8/rOK6c1Ox+1qDMAAAAAn7RhaYXh89GYdK5vLEXdZK+QyQQnX0lmBpzWLy1P+k0pLpdUX5Fc0MNJ1tZ5DZ+/cmNCM3OL+/sxrJdIwGn5AsNCm1f4TM8sZk1dT0KhLAJOyC5mPx9HJpjg5EQEnAAAAAAbLDaAEc9EZM6WukAm+N0HA+pO4KJbIrqHJ/X784OW1AIAAABwp/VLy03PnL3KmrrFMltRl6kTnFwul/5i09KkXlvnLZLHnfm3QD9VZxzwmovGdPnGRIq6QaJ6Ta5b1HoLVVSwsMl19y4tlyff+M/0qcUEnEbir7+7iYATso3ZBKdhJjg5Uub/dAcAAAAcqMSmEfulHrZMI3e9HLhqbb2TvZbWAwAAAPCvqssKtdRkis7Za0xwWqzRSeOAU4XJDVwn+4v7liX1umWVmb+eTpLW1htPcJKkC/3jKegEC2E2wWlFEkGhQne+7jUJjb774ciC6yb62vIityoyNCwJxFNZyoq6TETACQAAALBBjbfQlrpLvJl7YRJYjK6B8UW9G/Fu3u0JKTjIxWAAAADALuuXGa+pO3ONCU6LEYvFzFfUZXAoYUV1iZoTWM31Sct82RFwqi8vkrfQ+I1uF/rCKeoGibIj4CRJ9zX4DJ9/v3dU89FYwvUic1H9w3vX9OWfdep/ffOK4dny4gJF5qIJ1wYyQaXZijqTADHSg4ATAAAAYIMWf3VG1QWc7tjlIVvqdgbtqQsAAADAfE3d+b4wN80XYXxmzjTQkOlTV5KZ4jQZmcuKP1cul8t0Td2FfgJOTmO27m15kgGnzSZhv8nIfMJ/Hs5dH9MjP3pDf/n37+r4lWHT870jU3rkR2/ogz6m7iF7mK2oC01GFIslHhpEahBwAgAAAGzgrykzfWfVQm1u8MlfY3xhC8hWg+EZW+reCDNuGgAAALDLhqXGE5xm52MENBYhlMB0CZ/JhAqn+3efuUd5roW95ui5gawJY5itqePrx1mmIvOm1y+SneC0uaHS9Ewik6+PBYfU9rNOBQcnFvT5g4MTavtpp47xRjFkCbOfj7PzMU1E5lPUDRJFwAkAAACwyePNC3+XoWG9LcstrQdkkkmbLihMROZsqQsAAABA2mCyok6SzrKmLmmjJuvppMwPOF0aGJfLtcCEk7InjPGpWuOAU/fwpKZnuQHvFL0jxuvppOQDTg1VxaoqNZ44c+rDkOHz566P6WsvnND4THLXQsIzc9r9womsCA8ClSZfT5I0MsEbI52GgBMAAABgk8+vq1VjkhctPqmxqkSfW1tjSS0gE5V48m2pW+px21IXAAAAgFRXXqglZcY3EM9c5UZ5shKZ4FRRbH4D16luhjHM1vDFkw1hDLMJTrHYRyEwOMOHw+YBp4aq4qRqu1wubTaZFv9uz0jc5yJzUX3jF4Gkw003hWfm9PWXAlmxBhK5rTKBAPDIJAEnpyHgBAAAANikID9Pzz62UaWFiwtmlBbm69nHNqogn1/fkbtqvIW21F3izdyL/QAAAIDTuVwurTdZU3eGCU5JC02Z33itKM7MCU6EMT7yqboy0zOsqXMOs4CTJz9Pdd6ipOvfZxJwujgwrvD03YOPr57tW/BauniCgxN67WyfJbWAdKksSWCCUwJBYqQWd0gAAAAAG62uLdNzrZuSnj5TWpiv51o3aXWt+QUtIJu1+Kszqi4AAACAj2xYVm74/LnrY0lP6Ml1ZivqSj358rgz81YgYYyP1JQVmk4ZudDPBCen6BmeMnx+eWWx8vIWvnLxps0rKg2fj8Wk93vvHhr9eWd30p/3bl48Zm09INUSCQCHmODkOJn5Ww0AAACQQZobK3X4q1sXvK6usapEh57cquZG44sXQC7w15SZvlNxoTY3+OSvITwIAAAA2GmDyQSn6dmogoMENJJhtqLOl8B0CqcijPERl8ulT9UZr6ljgpNzmE1waljgtcFP+kxDhVwm+aj/z5ELOvxG8LY/F+f7wjp+ZXhRn/uTjl8e5s8eMpo7P0/lRW7DMyMTBJycxvj/MQAAAACWWF1bppd2P6Dfnx/Uyyd79W5PKO7ZzQ0+Pb5luT63toa1dMDHPN68TKcMvnYWXG/LcstqAQAAALi7DcuMA07SR2vqzEIcuJPZBKdMXU9nZxhjTQb+OVtb59Xxy/H/exAycY4ek4DTikUGnMqLCrS6pkwXB+KHQk92j+hk94h+8Jtz2raySk+0NOrqiPFkqWS9fn4wI7+mgJsqSz0am46/CpUVdc5DwAkAAABIkYL8PO28t047761TcHBcncEh3QhHNBGZU6nHrSVej1r81UyUAeL4/LpaNf7zZXWbXDBMRGNViT63tsaCrgAAAAAYWV5ZrPIit+ENxDNXx/Q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\n",
      "text/plain": [
       "<Figure size 2400x1200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = model.outlier_test().student_resid\n",
    "\n",
    "#\n",
    "fig = plt.figure(figsize=(6,3))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax1.plot(df['x'],r,'.'); ax1.set_xlabel(r'$X$',fontsize=16)\n",
    "ax2.plot(range(len(x)),r,'.-'); ax2.set_xlabel(r'tempo $i$',fontsize=16)\n",
    "#plt.plot(range(len(x)),r,'.-',linewidth=0.7)\n",
    "ax1.axhspan(ymin=-3,ymax=3,color='C0',alpha=0.1)\n",
    "\n",
    "ax1.set_ylabel(r'Resíduo $r_i$',fontsize=13)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualizando apenas $X \\times r_i$ (esquerda) não é possível perceber que há alguma correlação ou problema com a fuga de normalidade. No entanto, a correlação temporal fica evidente no plot da direita."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Resíduos de uma relação não linear."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Experimento com \n",
    "\n",
    "$$ y = - x^2 + 10 + \\varepsilon $$ \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-5,1.5)\n",
    "e = np.random.normal(loc=0,scale=1.0,size=len(x))\n",
    "y = -x**2 + 10 + e\n",
    "\n",
    "df = pd.DataFrame(x, columns=['x'])\n",
    "df['cte'] = 1\n",
    "df['y'] = y\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "\n",
    "model = sm.OLS(df.y,df[['cte','x']]).fit()\n",
    "model_prediction = model.predict(df[['cte','x']])\n",
    "plt.plot(df['x'],model_prediction,'r-')\n",
    "\n",
    "plt.title(r'$R^2 ='+str(np.round(model.rsquared,4))+'$')\n",
    "#model = sm.OLS(y,x)\n",
    "#results = model.fit()\n",
    "#model_prediction = results.predict(df)\n",
    "\n",
    "\n",
    "plt.plot(x,y,'o')\n",
    "plt.xlabel(r'$X$',fontsize=16)\n",
    "plt.ylabel(r'$Y$',fontsize=16)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.outlier_test()\n",
    "\n",
    "r = model.outlier_test().student_resid\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.plot(df['x'],r,'.')\n",
    "\n",
    "plt.fill_between(x=df['x'],y1=-3,y2=3,color='C0',alpha=0.05)\n",
    "\n",
    "plt.ylabel(r'Studentized residue $r_i$',fontsize=13)\n",
    "\n",
    "plt.xlabel(r'$X$',fontsize=13)\n",
    "\n",
    "plt.title(r'Sinal de que o model não é linear',fontsize=13)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "plt.xlim(np.min(df['x']),np.max(df['x']))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = model.resid \n",
    "res\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sm.qqplot(res,line='s',ax = ax)\n",
    "\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Resíduos de um modelo cujos erros possuem variância que aumenta com $X$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Exemplo com \n",
    "\n",
    "$$ y = - x + 10 + \\varepsilon ,$$ \n",
    "\n",
    "mas agora \n",
    "\n",
    "$$\\textrm{Var}(\\varepsilon) = \\sigma^2(X)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-5,1.5)\n",
    "e = np.random.normal(loc=0,scale=1.0,size=len(x))\n",
    "y = -x + 10 + 1.5*e*x[::-1] #erros dependem de X\n",
    "\n",
    "df = pd.DataFrame(x, columns=['x'])\n",
    "df['cte'] = 1\n",
    "df['y'] = y\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "\n",
    "model = sm.OLS(df.y,df[['cte','x']]).fit()\n",
    "model_prediction = model.predict(df[['cte','x']])\n",
    "plt.plot(df['x'],model_prediction,'r-')\n",
    "\n",
    "plt.title(r'$R^2 ='+str(np.round(model.rsquared,4))+'$')\n",
    "#model = sm.OLS(y,x)\n",
    "#results = model.fit()\n",
    "#model_prediction = results.predict(df)\n",
    "\n",
    "\n",
    "plt.plot(x,y,'o')\n",
    "plt.xlabel(r'$X$',fontsize=16)\n",
    "plt.ylabel(r'$Y$',fontsize=16)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.outlier_test()\n",
    "\n",
    "r = model.outlier_test().student_resid\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.plot(df['x'],r,'.')\n",
    "\n",
    "#plt.fill_between(x=df['x'],y1=-3,y2=3,color='C0',alpha=0.1)\n",
    "\n",
    "plt.ylabel(r'Studentized residue $r_i$',fontsize=13)\n",
    "\n",
    "plt.xlabel(r'$X$',fontsize=13)\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "plt.xlim(np.min(df['x']),np.max(df['x']))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = model.resid \n",
    "res\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sm.qqplot(res,line='s',ax = ax)\n",
    "\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Duncan Prestige data set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MDFn250sAAICzCN0AAADAAnr27NnY/Y1G49zPValUBi2ptre3b33gptvtRpIkQ/fl8/nZDgaAuRl1zf/uu+9mPBIAAOC6EroBAACABZROp0e2voiIaDabI4MjJ1Wr1Wg2mxERsbW1JVQSoysYpNPpWx9IArhNCoXC0O2dTudccywAAIDQDQAAACyos6rd9MM0o9Tr9ajX6xFxXBlnXIjnNtna2hq6/ZtvvpnxSACYp8ePH4/cp8UUAABwHivzHgAAAAAwXDabjWw2G51OZ+j+58+fx+bm5tB9zWYzqtVqRETUarUol8tXNs7rZtRC6qiKB7OWJEl8//33sb29Hd1u91Q7rEwmE9lsNp48eRL5fD7S6fRcx8rVaLVag5//69evT70H0ul0PHjwYPBe+Pbbb6/0vdDtdqPT6cQPP/wQnU5nMKaT48lkMpHJZOLJkyfCfVOWJEk0m8344YcfBu+Dbrd76nXvv/YqdU2u/zp2u91P9m1vb3s/AwAAZ0r1er3evAcBAAAADNdqtaJUKo3cv7W19cmiYLPZjEqlEhERm5ubUavVrnSM10mn04lcLjd03/b29lzbb3U6nXj+/Hm0Wq1zf08+n49arTaTxfZOpxONRiO63W68evUqkiQ5FQApFAqRz+dHjiVJklhfXx+6r9Fo3PpgWLvdjkajMdHP/6RisRiVSmUq7+FutxutVmvw855UuVyOWq12paGwVCo1dPve3t6NCKM1m83Y2tqaqNpKJpOJYrEYz549m+prkCRJPH/+fOi+s+aXVqsV33333SAsdDIw9ODBg8hms1GpVCKTyUxtvJMqlUpDz7tMJhO7u7tzGBEAAHCdCN0AAADAgltfXx9UlfhYNpuNnZ2dwdcnQzrlcjkajcYshnht1Ov1QQWgj81zsb5SqZzZLmycYrE4sm3WZTWbzajVaucOX6TT6SiXy58s/E87dNPtdmNjY2PovmmEzcYFtKYZZut2u1EqlUZWtJpUJpOJWq12oQodnU4nqtXq1Nrq1Gq1kdW4znIyPHiVhgUXh5lVaKzdbkelUrlQ2KkvnU5PtcLZuHNt2HWz2+1GtVqdKECWyWSi0WjMJfg4bl5w6xwAADjL0rwHAAAAAIw3buG00+kMFuvb7bbAzRl++OGHodvT6fRcAjftdjvW19cvFbiJOA5bbWxsXGqh/mNJkkShUJg4AJAkSdTr9VhfX49KpTIyMMbxYv/GxsbUAjcRv4d4crncuX9u3W43CoVC5HK5qQVuIiKq1erYSl2cViqVolAoXPo8TpIkKpXKRO+Baem/pyet2NR/D84iaPWxcVV2pnluAgAAN5PQDQAAACy4Z8+ejd3//Pnz6HQ6USgUIuK46onAzXCjFlC/+eabGY/kOHBTKBSmFkrpdrtTW2TvdDrx8OHDSwcwms1mPHz48MItk26yQqEwsrrGNJwM5J2l2+1ONWxzUqvVGlkxiGNJkkQul5v6edKv1jSL4Ej/+nPZ9/SsKhydNK4936tXr2Y4EgAA4DpamfcAAAAAgPHS6XQUi8WRC7KtVmuwL5/PX1mboZtgVCBlXKWDq9AP3IyTTqfj8ePHkcvl4sGDB/H69evY2dmJdrs98u/Rr06zu7t74bF1u9149OjR1MJASZJEqVSaS9uYRVUoFM4VcslkMoP/+pWYkiSJbrcbr169OvNnNC5McNKDBw/OfEw+n49CoTAYy4MHDyKdTke3243t7e1oNpsjx9PpdKJSqQgDDtEP3JwVlstms5HP52NjY2NwPdjd3Y1OpzP2vdR//u3t7Ss7B/uBm2ldM5rNZuRyuam1xzrLuOv/yfaNAAAAwwjdAAAAwDXw7NmzM6sgZLPZ2N7entGIrp9xi9qzrMRxsirRMOl0Ol68eBHFYnHkY9rtdlSr1aEVLLrd7oUDDv0F+vMunufz+chms4MgQLfbjd3d3aHBoKuqpHLdlEqlsa9FOp2OcrkclUrlzDBYv0LN1tbW0Oc8b5hs1OP64xgX3slkMpHP56NWq0WlUhnZKq3ZbApffSRJknj48OHY861cLketVjuz/V29Xo/nz5+PfK5CoRA7OzvnDmKd16iQXv99cTI0eJ6QUF+1Wp1Z6CbieLzD5giVbgAAgLMI3QAAAMA1kM1mI5vNjm0T8vLlyxmO6PoZ99qdp9LHtJRKpZH7isXiuSoV5fP52NnZiWq1GvV6/ZP9zWYzqtXqxBV8SqXSmYGbdDodz549i83NzbGPGxcMuq3q9frY8Nx5f/59mUwmyuVylMvl6HQ6Ua1WB4GGScIVHwc6Njc349mzZ2cGPT7WaDQinU4PfU9GRFQqlXNXYSqXyyMDOt1ud2RwbWdnZ6Jxz7rK1UnjzrdMJhPb29vnHt/m5maUy+V4+vTpyPfYo0eP4scff5z45zrOx4Gb84QGkySJ58+fj3yf9B/TbDZnWu1mWOjG9QsAADjL0rwHAAAAAJzPs2fPxu5XSWS8cZVuZrXwXqlURo6jXC5P3BqsVquNDL/UarWJnqvVap35HiqXy7G3t3dm4Cbi92DQLKtVLLJutxvVanXk/lqtdqnWcP1KV1tbW5FOp+Obb76Z+Dny+Xzs7e2dq7LKKLVabWTgp9vtnlmx66ST7bU+/u8i3zPJ81y1er0+8nzL5/Oxu7s78fjS6XRsbW2NPD/7rd6m6WTgJpPJxM7OztjATcTxOGu12pmV2WbZKnGe7wUAAOB6E7oBAACAa6JYLI5dCH/+/PnsBnMN/fTTTyP3zWLBtdPpjGy9k8/nL9QOKmJ0yKHZbJ67TVSSJPH06dOxj9na2rrQGBuNxrlCOjfduLDD5ubm1F6jYrEYP/74Y1QqlYm+b3t7O7a3t6dSBeXFixcj9130fX6TjAtg9SvcXEatVhsZdmu32yOvQ5c1SWWeiBi0JRtllkHSce/7cYFNAAAAoRsAAAC4RsZVu+l0OlphjDFu4XSa7VZGGReKumxFh1Gtxc67uH5WQKfRaJxZvWKcWq02slXQbdBqtUaem2cFDy4inU5P1F6qP45pyWazI8MXKnLF2IpHlw3c9DUajZE/g2m/3yKOg2MXCS9ubm6Ovf7Oak7b2NgYuU/oBgAAGEfoBgAAAK6RsxZkVbsZbdTC6SwCN+Pa6jQajUuPIZ1ODw3FnHcBf9z7plwuT6VF1LigwU037vW9qZVfxoW0bnPwZty1oFarTbXq1qgw36Rtvs7jrPaH4zx+/HjkvtevX1/4eSfx4MGDkfvOWzEMAAC4nYRuAAAA4JooFApnLla3Wi0LhCOMel3GLbZOy6jKEul0eiqBlojhi97nCTe02+2Rr006nb6xoZBZGVeBqlwuz6S12Tx8++23I/fd5soh46rMTOta0JfNZkdWPJpmCK5cLl8qOJjL5Ubum9V8Nu48vM3vVwAA4GxCNwAAAHANlEqlQYBic3Nz7GPP21LothlVMWEWlW6+//77odvHVXiY1KiWPmcFb8aFAC5TvYJj40JLlUplhiOZrXEhhtscDBx1fT6rzdJFjTq/u93u1Fo3lUqlS33/uODjrCrdjHvtf/rpp5mMAQAAuJ6EbgAAAGDBVSqVQSuQ7e3tM1uQaDE13Lwq3XS73ZHHnnboYlhVi7MW1l+9ejVy31kBL842KnCVyWRGViG5CcaFGHZ3d2c3kAUyLgD35MmTKzlmPp8fue+777678mOcx6K/V25zSAwAADib0A0AAAAssGq1OqiMsLW1NVjcHNcaJEmSQUiH+Ru10H4VoYtCofDJtnGL1uMCQZddSGf861ssFmc7GOZue3t75L6rDGCNOpfP037uLNOozjOLFn/XYQwAAMD1tDLvAQAAAADD1ev1qNfrEXHcoubkIn25XI5qtTpyQf/58+cW9c/pqttLjVpof/36deRyuakea9j7odvtjnz8uEX3YQEeJjPu9f32229nOBIWwagw5FUH3AqFwtD3YqfTiSRJLnUNHFd17aaYVYsrAADgehK6AQAAgAVUr9cH1WxqtVqUy+VPHlMulwehnI91Op3odDo3un3NJObZHmRU6CVJkjNbP13l8SMidnZ2Ru4T2rq8ca+vc/P2GXUuXnVwZdzzv3r16lKhn5sSurnq8CUAAHBzCd0AAADAgmk2m4PAzebmZmxubg593LNnz0aGbiKOq91sbW1dyRg5v3Ghl1kYV6Vh3D7tVi5v3M/+poQVIn5vo/X69evB/8e1NbuNxgX/rjrwMe75LxtIvA3XiXmGNgEAgMUndAMAAAALpNVqRaVSiYjjSja1Wm3kY9PpdBSLxZEtS1qt1qVbh3B5816wHXf8caEQ75vLGxVquq6vbbfbjXa7HTs7O9HtduPVq1dzf39fF+POta+++upKjz0uGHPZ1knX9b0MAAAwLUI3AAAAsCDa7XaUSqWIOG7t02g0zvyeZ8+ejQzdRBxXuxkX3LktLAwPNyow4fWajlGv73WqDtJqteK7776LdrstYHMJ48It86x0oyLR2VwPAQCAcZbmPQAAAAAgotPpRKFQiIjjwM1520Jls9mxbWqazeZUxneTzStI0Ov1ZvbfKKOCANcpFML0JUkS9Xo91tfXo1QqDapmcXHjXr+rfm3neezrwusAAABclNANAAAAzFmn04lcLhcREfl8/tyBm75qtTpyX5IkYyvhMD/j2s3MyqhwzWVbznBsVIWMRX19kySJSqUS6+vrUa1WBRGmaFy1lJ9++ulKjz3PKjs3gRAiAAAwjtANAAAAzFG3241Hjx5FxHHVmu3t7Ymfo1wuj104ff78+UWHxxSMqkS0CIGGUe+bRRjbTTBqsX4RX992ux0PHz48d3WsTCYTxWIxNjc3Y2trK7a3t2N3dzf29vai1+tpW/SRcRXJ5lnpZmNj40qPDQAAcNOtzHsAAAAAcFt1u93I5XKRJElkMpl4+fLlhZ+rXC5HvV4fuq/T6USn04lsNnvh578J0un00MXnq646MirY0u12559IKcMAABCySURBVP4zUcHhap0VtFiUKiOtVitKpdKZjysWi/HkyZPI5/MLM/brYty5dtVVr8Y9v2vAMdWAAACAi1LpBgAAAOYgSZJTgZudnZ1LLew9e/Zs7H7VbuZXdWRU8OIiVY2mbVwoZBHaX11346qIvHr1aoYjGa3dbo8N3KTT6Wg0GrG3txdbW1tRLBaFEC5g3Gt21e+FH374YeS+cdeA22Tc9e6rr76a4UgAAIDrRugGAAAAZuxk4CadTsf29valF7HT6XQUi8WR+1ut1kK2tJmlUa/xVVe6KRQKQ7d///33V3rc88jlciP3dTqdGY7kZsrn8yP3LULoKiLGBm7K5XL8+OOPZ7aw43xGvR+SJLnSkFu73R65b97VthbFuPlRMAkAABhH6AYAAABmKEmSePToUXS73Uin07GzszO1BT3VbsYb9TpfdRjp8ePHI48772oy33zzzch9ixIKuc7GBRrGBSFmpV6vj3z/l8vlaDQawjZTNC7gdFXvh263O/JnPC6oedtoLwUAAFyU0A0AAADM0KNHjwYVRF6+fDnVT9Bns9mxi/zNZnNqx7qOxr3WVxm8SafTI49dq9Wu7LjnMe79sgiVeOZpWoGoUcGGTqcz99DVd999N3R7NpuNRqMx49HcfOMqH13VtWDc846qwnUbqXQDAABclNANAAAAzEihUBgEbra3t6+krce4ajdJkkSr1Zr6Ma+Lr776auS+qw4/VCqVodubzebc236Na3lzm98v03pPPHnyZOS+eYeuRrUQO6tq1iK76nZxl5HJZEYGOLrd7pVUuxkXthxVhes22t3dHblP6AYAABhH6AYAAABmoFQqDRZUt7a2xlY8uIxisTi2FcZtbjE1buH0qhfqy+XyyH3VavVKj32WUYGgiOm+X+YdLprUtNprFYvFke+9ZrM5t2o3V13ZY14/70V/n40LWk37WlCv10fuK5fL2iadMO+qUwAAwPUldAMAAABXrFQqDSqGNBqNke1mpmVcwKPT6YysbnHTjassdNULrul0OjY3N4fuazabV1LhIuJ8AYRx78dOpzO1ajezDBddNniRJMlUfybj/u7jQk+XNe59PS5wMY0Q2qtXry79HKM8ePBg5L5FrnQTMT6E1el0xgZlJtHpdMa+7+Yd9ls0o86Vq6hIBwAA3CxCNwAAAHCFTgZuarXa2EDMtJzVGua2VrsZV71jZ2fnyo8/7udSKpWmHvxpt9vx8OHDcz123PtyGmOrVCpT//tdZfBi2oGEcVVF2u321I/X7XYjl8tFo9G40PdPo8rPVbbOGhcYug6hwrOq3Vz275AkSZRKpZH7y+WylkkfGXV9+uabb2Y8EgAA4LoRugEAAIArcjJwUy6XR1Y6mbZ0Oj22ekmr1Vr4FixXZdRC81VW5ehLp9MjQxBJkkQul5tKMCVJkqhUKlEoFCJJknP9rM8KffSf6yKazWY0m80Lfe8444IXl3kdO53OlYx3a2tr5L56vT61Cif1ej02Njai0+mc+TMbVcWjXq9fKvhRr9fn1q5n0sDQPEI6xWJxbIvBXC534XGddS1Jp9NXGoi6jsa9V3O53AxHAgAAXEdCNwAAADBl/SoT/cDNuLDFVVHtZrhRIYNZBQTK5fLIQFR/sfwy7Zzq9Xo8fPjwVGjkPH+3TCYzNhTW7Xbj4cOHEwcB6vX6lbZPGhW86XQ6F/qZdjqdePTo0SVHNVw+nx/7Gler1ahUKhcON9Xr9VhfXz8VoDrrNRgX/Hj06NGFxlKtVmfSumhc5aDzvE+73W5sbGzE06dPpzyy89na2hpbbSaXy00c/mq322eG916+fDk2sHYbjXu9VLoBAADOInQDAAAAU9RqtQZVJvoeP34883Fks9mxC7r1ev1WVrv59ttvh24/b0WYaRi32N5vC1MoFM4dcOl0OlGtVgeBi4//HucNn9RqtbHvmX4o6DztptrtdhQKhSsPX4wb76THrtfrkcvlrvR9UKvVRga/Io6rAj18+PBc52eSJNFqtaJSqVz4Zz8uEJUkSayvr5+7Ak+z2Zzo8Zc1LgwxLjDU6XSiVCrFxsZGdLvdubWjSqfTY6sfRRz/fDY2Ns4M4vX/ToVCYezP/Kz332017j2gDRcAAHCWlXkPAAAAAG6CdrsdtVot2u32J/tev3498/EkSXLmcZ8/f37r2oyMW3B+9erV2Mof07SzszO2IkW/YkUmk4l8Ph8bGxuDxd/Xr1/H7u5udDqdoe+3j03y/tva2jqznUqr1YpWqxXZbHYwtgcPHsTr169jZ2cnXr16NXQRO51OTz3Q8uTJk5EL5q1WK3K5XDx79izy+fzQ6h7tdju2t7ej2WzOLHT18uXLePTo0chxJ0kyqBbTD8/1f/ZJkkS3243Xr1+fKyxy1s8+k8lENpsd+1zVajWeP38e+Xw+MpnMqZ/3JO/DaSsUCiOP2w8MFYvFwWvX7Xaj3W4P/Tm32+2ZnfsnZbPZ2N7ejkKhMPIx3W43SqVSRMTgZ9A/l16/fj3y7/Sxzc3NmbU4vG5++OGHodv7rzUAAMA4QjcAAABwQUmSxPfffx+1Wm1sdYFWqzXTRd1WqxVPnz49cyG2Xq/HV199dasWYsf9DDqdzsx+Rul0OnZ2dsaGLyKOF9wnbTFzUiaTmag9ynlCAH2dTufcVUKKxWI8efJkEB6YlmKxOLaiTb8CSF9/Af2scyObzcbW1lZsbGxMY5in9H/240IjfZO8xsOc52f/4sWLM4NW/ao6i+Ssn31EnHvMW1tbcwndRBxfk/rXgrPelxcNNzUajSiXyxf63ttg1Os6r/cEAABwvWgvBQAAAOfQ7XajXq9HpVKJQqEQ6+vrsb6+HpVK5VztewqFQuRyuahWq+du9zPJ2KrV6mBcpVLp3FU7+m2JCoVClEqlqFQqUa1WZ9YiZh5GLaRub2/PdBz98EWxWLyS59/c3Izd3d2J28nk8/kz295MolarxdbW1pVUjMhkMhOFCc7TRmxzczN2dnauvK3M9vb2lQUh+q2LzvOezmazUw/eZbPZ2NnZmepzfqxfBeomyGaz8eOPP0699VM6nb7S99lNMO6acJ7wIQAAgEo3AAAAcA6VSuXSLVROVq2YZlunQqFwqSBPkiRD/275fH7qi8CLYFSFkXm0yIk4rrLRr8gyjUBWsViMWq12qdBIsViMnZ2dS41pGuM4j0ajMbKl1SRmNd6TGo1GVCqVePr06aXHH3EcsiiXyxNfX/rVui5bzSaTyUS1Wp1ZyKPRaFyqGlE+n49arbYQ17l+CO+8lcrOsrm5eevaB17EuOv+VQUiAQCAm0WlGwAAADiHkwvx6XQ6MpnM2P/S6fTgv5PS6XQ8efLkSsd2nvGNGm9fNptdiIXoqzBuIXUawYeLyGazsbu7G41G40KvezqdjlqtFnt7e7G1tTWV4Eh/TJubmxNVqSkWi7G7uzu1cZzHzs7OhYIemUwmNjc3p/q6TapfFeYyLY761Yn29vYuHLTY2tqKRqMx8ff1gz47Ozuxu7s706oqmUwmdnZ2Jnp/ZjKZwbmyvb29cNe5YrE4+DlO+n7s/yx2d3cFbs5pVDWoRXtfAAAAiyvV6/V68x4EAAAAwCytr68PrSRRq9Wm3mrnIpIkiWazGT/88EN0u91IkmRQcaYfkvrmm28il8tFPp+fSVik2WzG9vZ2dLvdwZj6Aa9vvvkmCoXCmZUhRlXvmFbrqX61lu++++7UaxYRg4BZNpuNb7/9NrLZ7Jmv27hqI1fRLqt/zO+//z62t7cHf4f+3yOdTseDBw8Gf49CoRDffPPN1MfSbDZja2vrk2NnMpl48ODBuV/DWb1+/fPlu+++++S92X+9CoVC5PP5K/u5XZX+e7p/LRj298tms/HkyRNBkQsYNReoFAQAAJyX0A0AAABw61QqlWg2m59sz+fzIysfAHBzdLvdke3Jdnd351L5CgAAuH60lwIAAABunUqlMnR7u90eW50DgJuh1WoN3X6eKlgAAAB9QjcAAADArTNuUfX777+f8WgAmLVGozF0+6hQJgAAwDBCNwAAAMCtVK1Wh27f2tqa8UgAmKVutxvdbnfovnK5POPRAAAA15nQDQAAAHArPX78eOh2LaYAbrZRVW6KxeKMRwIAAFx3QjcAAADArZROp0cusD5//nzGowFgVprN5tDtz549m/FIAACA6y7V6/V68x4EAAAAwDx0Op3I5XKfbE+n07G3tzeHEQFwlVqtVpRKpU+2Z7PZ2NnZmcOIAACA60ylGwAAAODWymazQ6vdJEkyshICANdXtVoduv3FixczHgkAAHATqHQDAAAA3Grdbjc2NjY+2Z7JZGJ3d3cOIwLgKoyqcpPP52N7e3sOIwIAAK47lW4AAACAWy2TyUS5XP5ke7fbVe0G4AZ5/vz50O2NRmPGIwEAAG4KlW4AAACAWy9JklhfX/9kezqdjr29vTmMCIBparfbUSgUPtleLBZja2trDiMCAABuApVuAAAAgFsvnU5HrVb7ZHuSJFGv1+cwIgCmqVKpfLItnU7Hixcv5jAaAADgplDpBgAAAOCDXC4XnU7nk+27u7uRyWTmMCIALqter0e1Wv1k+9bWVhSLxTmMCAAAuCmEbgAAAAA+SJIkHj58GEmSnNqez+dje3t7PoMC4MK63W5sbGx8sr1cLkej0ZjDiAAAgJtEeykAAACAD0a1Gmm329FsNucwIgAuY1hbqUwmI3ADAABMhdANAAAAwAnFYjHK5fIn2yuVSnS73TmMCICLaDab0W63P9m+tbU1h9EAAAA3kfZSAAAAAEPkcrnodDqntmWz2djZ2ZnTiAA4r06nE7lc7pPtjUZjaLASAADgIlS6AQAAABji5cuXkclkTm3rdDpDW5UAsDiSJIlHjx59sr1WqwncAAAAUyV0AwAAADBEOp2OnZ2dT4I3zWYz6vX6nEYFwFkePXoUSZKc2lar1WJzc3M+AwIAAG4s7aUAAAAAxkiSJHK5XHS73VPbt7a2olgszmlUAAxTKBSi3W6f2ra5uRm1Wm1OIwIAAG4ylW4AAAAAxhhV8aZUKkWr1ZrTqAD4mMANAAAwayrdAAAAAAAAAADAhFS6AQAAAAAAAACACQndAAAAAAAAAADAhIRuAAAAAAAAAABgQkI3AAAAAAAAAAAwIaEbAAAAAAAAAACYkNANAAAAAAAAAABMSOgGAAAAAAAAAAAmJHQDAAAAAAAAAAATEroBAAAAAAAAAIAJCd0AAAAAAAAAAMCEhG4AAAAAAAAAAGBCQjcAAAAAAAAAADAhoRsAAAAAAAAAAJiQ0A0AAAAAAAAAAExI6AYAAAAAAAAAACYkdAMAAAAAAAAAABMSugEAAAAAAAAAgAkJ3QAAAAAAAAAAwISEbgAAAAAAAAAAYEJCNwAAAAAAAAAAMCGhGwAAAAAAAAAAmJDQDQAAAAAAAAAATEjoBgAAAAAAAAAAJiR0AwAAAAAAAAAAExK6AQAAAAAAAACACQndAAAAAAAAAADAhIRuAAAAAAAAAABgQkI3AAAAAAAAAAAwIaEbAAAAAAAAAACYkNANAAAAAAAAAABMSOgGAAAAAAAAAAAmJHQDAAAAAAAAAAATEroBAAAAAAAAAIAJCd0AAAAAAAAAAMCEhG4AAAAAAAAAAGBCQjcAAAAAAAAAADAhoRsAAAAAAAAAAJiQ0A0AAAAAAAAAAExI6AYAAAAAAAAAACb0/wNOJAhccJqRRwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# Carregando a base de dados\n",
    "duncan_prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\")\n",
    "Y = duncan_prestige.data['income']\n",
    "X = duncan_prestige.data['education']\n",
    "X = sm.add_constant(X) # adicionando uma constante para que ajuste o modelo beta0 + beta1 * X. \n",
    "\n",
    "# inicializando as classes do statsmodel e ajustando o modelo. \n",
    "model = sm.OLS(Y,X)\n",
    "results = model.fit()\n",
    "model_prediction = results.predict(X[['const','education']])\n",
    "\n",
    "fig = plt.figure()\n",
    "\n",
    "\n",
    "plt.plot(X['education'],Y,'o',color='C0',alpha=0.2,label=r'Dados')\n",
    "plt.plot(X['education'],model_prediction,'r-')\n",
    "plt.xlabel(r'$X$ (education)',fontsize=16)\n",
    "plt.ylabel(r'$Y$ (income)',fontsize=16)\n",
    "\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Resumo da regressão"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>         <td>income</td>      <th>  R-squared:         </th> <td>   0.525</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                   <td>OLS</td>       <th>  Adj. R-squared:    </th> <td>   0.514</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>             <td>Least Squares</td>  <th>  F-statistic:       </th> <td>   47.51</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>             <td>Sat, 01 Oct 2022</td> <th>  Prob (F-statistic):</th> <td>1.84e-08</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                 <td>11:04:27</td>     <th>  Log-Likelihood:    </th> <td> -190.42</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>      <td>    45</td>      <th>  AIC:               </th> <td>   384.8</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>          <td>    43</td>      <th>  BIC:               </th> <td>   388.5</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>              <td>     1</td>      <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>      <td>nonrobust</td>    <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "      <td></td>         <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>const</th>     <td>   10.6035</td> <td>    5.198</td> <td>    2.040</td> <td> 0.048</td> <td>    0.120</td> <td>   21.087</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>education</th> <td>    0.5949</td> <td>    0.086</td> <td>    6.893</td> <td> 0.000</td> <td>    0.421</td> <td>    0.769</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td> 9.841</td> <th>  Durbin-Watson:     </th> <td>   1.736</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.007</td> <th>  Jarque-Bera (JB):  </th> <td>  10.609</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td> 0.776</td> <th>  Prob(JB):          </th> <td> 0.00497</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 4.802</td> <th>  Cond. No.          </th> <td>    123.</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:                 income   R-squared:                       0.525\n",
       "Model:                            OLS   Adj. R-squared:                  0.514\n",
       "Method:                 Least Squares   F-statistic:                     47.51\n",
       "Date:                Sat, 01 Oct 2022   Prob (F-statistic):           1.84e-08\n",
       "Time:                        11:04:27   Log-Likelihood:                -190.42\n",
       "No. Observations:                  45   AIC:                             384.8\n",
       "Df Residuals:                      43   BIC:                             388.5\n",
       "Df Model:                           1                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "==============================================================================\n",
       "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "const         10.6035      5.198      2.040      0.048       0.120      21.087\n",
       "education      0.5949      0.086      6.893      0.000       0.421       0.769\n",
       "==============================================================================\n",
       "Omnibus:                        9.841   Durbin-Watson:                   1.736\n",
       "Prob(Omnibus):                  0.007   Jarque-Bera (JB):               10.609\n",
       "Skew:                           0.776   Prob(JB):                      0.00497\n",
       "Kurtosis:                       4.802   Cond. No.                         123.\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "\"\"\""
      ]
     },
     "execution_count": 152,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "results.outlier_test()\n",
    "\n",
    "r = results.outlier_test().student_resid\n",
    "\n",
    "fig = plt.figure()\n",
    "plt.plot(X['education'],r,'.')\n",
    "\n",
    "#plt.fill_between(x=X['education'],y1=-3,y2=3,color='C0',alpha=0.05)\n",
    "\n",
    "plt.ylabel(r'Studentized residue $r_i$',fontsize=13)\n",
    "\n",
    "plt.xlabel(r'$X$',fontsize=13)\n",
    "\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "plt.xlim(np.min(X['education']),np.max(X['education']))\n",
    "plt.axhspan(ymin=-3,ymax=3,color='C0',alpha=0.1)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Identifique os outliers nos plots acima e abaixo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2560x1920 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = results.resid \n",
    "res\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sm.qqplot(res,line='s',ax = ax)\n",
    "\n",
    "for ax in fig.get_axes():\n",
    "\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['top'].set_visible(False)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}