{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from statsmodels.compat import lzip\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.formula.api import ols"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Duncan's Prestige Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load the Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use a utility function to load any R dataset available from the great <a href=\"https://vincentarelbundock.github.io/Rdatasets/\">Rdatasets package</a>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\", cache=True).data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "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>type</th>\n",
       "      <th>income</th>\n",
       "      <th>education</th>\n",
       "      <th>prestige</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accountant</th>\n",
       "      <td>prof</td>\n",
       "      <td>62</td>\n",
       "      <td>86</td>\n",
       "      <td>82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pilot</th>\n",
       "      <td>prof</td>\n",
       "      <td>72</td>\n",
       "      <td>76</td>\n",
       "      <td>83</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>architect</th>\n",
       "      <td>prof</td>\n",
       "      <td>75</td>\n",
       "      <td>92</td>\n",
       "      <td>90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>author</th>\n",
       "      <td>prof</td>\n",
       "      <td>55</td>\n",
       "      <td>90</td>\n",
       "      <td>76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chemist</th>\n",
       "      <td>prof</td>\n",
       "      <td>64</td>\n",
       "      <td>86</td>\n",
       "      <td>90</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            type  income  education  prestige\n",
       "accountant  prof      62         86        82\n",
       "pilot       prof      72         76        83\n",
       "architect   prof      75         92        90\n",
       "author      prof      55         90        76\n",
       "chemist     prof      64         86        90"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prestige.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "prestige_model = ols(\"prestige ~ income + education\", data=prestige).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:               prestige   R-squared:                       0.828\n",
      "Model:                            OLS   Adj. R-squared:                  0.820\n",
      "Method:                 Least Squares   F-statistic:                     101.2\n",
      "Date:                Sun, 16 Aug 2020   Prob (F-statistic):           8.65e-17\n",
      "Time:                        18:00:44   Log-Likelihood:                -178.98\n",
      "No. Observations:                  45   AIC:                             364.0\n",
      "Df Residuals:                      42   BIC:                             369.4\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept     -6.0647      4.272     -1.420      0.163     -14.686       2.556\n",
      "income         0.5987      0.120      5.003      0.000       0.357       0.840\n",
      "education      0.5458      0.098      5.555      0.000       0.348       0.744\n",
      "==============================================================================\n",
      "Omnibus:                        1.279   Durbin-Watson:                   1.458\n",
      "Prob(Omnibus):                  0.528   Jarque-Bera (JB):                0.520\n",
      "Skew:                           0.155   Prob(JB):                        0.771\n",
      "Kurtosis:                       3.426   Cond. No.                         163.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "print(prestige_model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Influence plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Influence plots show the (externally) studentized residuals vs. the leverage of each observation as measured by the hat matrix.\n",
    "\n",
    "Externally studentized residuals are residuals that are scaled by their standard deviation where \n",
    "\n",
    "$$var(\\hat{\\epsilon}_i)=\\hat{\\sigma}^2_i(1-h_{ii})$$\n",
    "\n",
    "with\n",
    "\n",
    "$$\\hat{\\sigma}^2_i=\\frac{1}{n - p - 1 \\;\\;}\\sum_{j}^{n}\\;\\;\\;\\forall \\;\\;\\; j \\neq i$$\n",
    "\n",
    "$n$ is the number of observations and $p$ is the number of regressors. $h_{ii}$ is the $i$-th diagonal element of the hat matrix\n",
    "\n",
    "$$H=X(X^{\\;\\prime}X)^{-1}X^{\\;\\prime}$$\n",
    "\n",
    "The influence of each point can be visualized by the criterion keyword argument. Options are Cook's distance and DFFITS, two measures of influence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
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lR+KA8tpQfAXeXhBzjrLaEF6Phx9fNouScYW9cl0RkWRSAiAiIn3SnLEF/OGaYzlmbCH7a8M9PiSoPhSlvDbMiROH8MC1xzJzZF6PXk9EpKdoxpKIiPRZQ3Iy+P7FM/n3mr385MX17K8JkZvlw+9N3v2tUCRGdUOEYIaPWy+YzkmThmilXxHp05QAiIhIn2ZmnDFtKLNG5/OPRdt5ctlOahoiBHwesgPebjXWnXPUNEaJRB0Zfg9XHjuaS48ZRUEw0APvQESkdykBEBGRfmFITgZfOGUin/7QOF7fsI+H3t3GtvJ6jPjY/Uy/h0y/F08bCUEs5miIRKkPxfB6DOdg3JBsPn7cGD48cTAZPq3uKyL9hxIAERHpV7ICXj4yfRhnThvKlv11bNxXw8qdVSzfUcnW/XWYEX8ADmiePzxucJAjR+UxfXguk4pzGFWQpaE+ItIvKQEQEZF+ycwYNyTIuCFBzpg2FIBwNEZ5XYhw1BGNOnxew+/1UJDtx5fEeQMiIulMCYCIiAwYfq+H4kGZqQ5DRCSldLtDRERERGQAUQIgIiIiIjKAKAEQERERERlAlACIiIiIiAwgSgBERERERAYQJQAiIiIiIgOIEgARERERkQFECYCIiIiIyACiBEBEREREZABRAiAiIiIiMoAoARARERERGUCUAIiIiIiIDCBKAEREREREBhAlACIiIiIiA4gSABERERGRAUQJgIiIiIjIAKIEQERERERkAFECICIiIiIygCgBEBEREREZQJQAiIiIiIgMIEoAREREREQGECUAIiIiIiIDiBIAEREREZEBRAmAiIiIiMgAogRARERERGQAUQIgIiIiIjKAKAEQERERERlAlACIiIiIiAwgSgBERERERAYQJQAiIiIiIgOIEgDpMp/PxwMPPNBr15s0aRLz5s3rteuJiIiI9GdKAKRHOOcIh8OpDqOVWCxGNBpNdRgiIiIiKaUEoB/65S9/yfTp08nIyKC4uJjLLrsMgOrqaj7/+c9TVFREZmYmJSUlPP/88wdet3nzZsyMhx9+mAsuuIDs7GwmTJjAn//85wPHjBs3jmg0yrXXXouZYWYAPPDAA/h8Pl5++WVmz55NRkYGzz33HJs2beKSSy5hxIgRZGdnc+SRR7Y6X2cxn3rqqWzcuJHbb7/9wPU2b94MwIIFC5g7dy5ZWVkUFBTwiU98gr179x4457x585g0aRIPPfQQU6dOJRAIsHr16qR/v0VERET6EiUA/cxtt93GLbfcwg033MDy5ct59tlnOfroowH4zGc+w3PPPceDDz7Ie++9x4knnsj555/PmjVrWp3jm9/8JldffTXLli3jiiuu4Nprr2X9+vUAvPvuu3i9Xn7yk5+wa9cudu3adeB1sViMm2++mbvvvps1a9Zw/PHHU1NTwxlnnMGzzz7L8uXLuf7667n22mt5+eWXE4r50UcfZdy4cdx0000Hrjd69Gh2797NWWedxahRo3jnnXf417/+xYoVK7j00ktbvZedO3dy77338sADD7Bq1SrGjh3bA991ERERkT7EOdenH3PmzHESV1NT4zIzM92Pf/zjQ/atX7/eAe6pp55qtX327Nnu2muvdc45t2nTJge4u++++8D+cDjsgsGg+/Wvf31gm9frdffff3+r89x///0OcK+++mqncV544YXuuuuu6zTmZhMnTnS33XZbq23f+c533MiRI11jY+OBbUuWLHGAe+WVV5xzzt12223OzNyWLVs6jUlERESkM8BClwbt38N9qAegH1m5ciUNDQ2cddZZh+xbtWoVAHPnzm21fe7cuaxcubLVtua77xCf8Dt06FD27NmTUAzHHntsq+d1dXV885vfZMaMGRQWFpKTk8PTTz/Nli1bOo25IytXruSEE04gEAgc2DZr1izy8vJavZ+hQ4cyZsyYLp1bREREpD/zpToASb7mcfmJcM4dcnzLRnXz+WKxWKfn8nq9ZGZmttr2jW98g8cff5y7776bqVOnEgwGuemmm6isrOx2zJ29puX2YDDY5fOKiIiI9GfqAehHpk+fTmZmJs8999wh+2bMmAHAq6++2mr7a6+9dmBfogKBQMLVdF599VWuuuoqrrzySmbNmsWECRNYt25dQjF3dL0ZM2bw1ltvEQqFDmxbunQplZWVXX4/IiIiIgOJEoB+JCcnh5tuuol58+bxy1/+knXr1rF06VLuuusuJk6cyOWXX84NN9zAc889x5o1a7jxxhtZsWIF3/jGN7p0nfHjx/Pyyy+zc+dOSktLOzx2ypQpPP7447zzzjusWrWK66+/np07dyYUc8vrvfHGG2zdupXS0lJisRhf+tKXqKqq4pprrmHFihW8/vrrXH311Zx00kmcfPLJXfvGiYiIiAwgSgD6mTvuuIPvfe97/OxnP2PmzJmcddZZLF68GID77ruPs88+m09+8pPMmjWLN954gyeffJKpU6d26Rp33303ixYtYvz48RQVFXV47D333MPYsWM57bTTOOOMMxg5cuSBEp+JxAxw++23U1lZyZQpUygqKmLr1q0MHTqU559/nu3bt3Psscdy/vnnM3PmTB555JEuvRcRERGRgcbiE5r7rpKSErdw4cJUhyEiIiIi/ZyZLXLOlaQ6jsOlHgARERERkQFEVYAGkLLaECt3VlLbGMHMyM30M2t0HtkB/RiIiIiIDBRq+fVzzjlW7qzin+/t4PUNpRgQcw4jXi7T6zHOnjGMC2eNYNwQlcwUERER6e+UAPRjjZEoP352La+ujzf8c7N8eD2ta+dHojGeXLqTJ5ft4qrjx/CpD43tVk1+EREREekblAD0U+FojFsfW8HirRUUBP142mnU+7weCnMCRGIxHlywheqGMP952iQlASIiIiL9lCYB91P3vryBxVsrKOyg8d+Sz+MhP9vPY0vivQEiIiIi0j8pAeiHSmsaeXrFbvKz/V26k+/1GDkZXh54czORaKwHIxQRERGRVFEC0A89u2I3LuYOGe+fiEy/l5rGCO9uLu+ByEREREQk1ZQA9DPRmOPRxdsJZni7fQ6Pwd8XbUtiVCIiIiKSLpQA9DMVdSFqQ1Ey/N1PAHIyfKzfU53EqEREREQkXaRVAmBmo83sZTNbbWYrzezGVMfU19SFonRj5E8rHoP6UAznXHKCEhEREZG0kW5lQCPATc65xWY2CFhkZi8451alOrC+IsPn4XDb7TEHAZ9HpUBFRERE+qG06gFwzu1yzi1u+roaWA2MTG1UfUteth8ziMS6nwU0RqIU52YkMSoRERERSRdplQC0ZGbjgNnA2ykOJS1EojG27q9jze4qNpXWUtsYafO4DJ+XM6YOpao+3O1rNYRjXDxbeZeIiIhIf5RuQ4AAMLMc4BHgK865qjb2Xw9cDzBmzJhejq53ldY08tzK3Ty6eAd1jRGaR+U4jDOmFnPR7BFMLMppNVznY0eP4IVVu3HOdXkYTyQWw+vxcPrU4mS+DRERERFJE2mXAJiZn3jj/y/OuUfbOsY591vgtwAlJSX9dqbqi6v2cPcLa4nGHMGAl7xs/4F9kZjjhVW7eX7Vbs6eMYwbz5iMzxvv0JlUnMMRw3JZv6ea/Bav6Yxzjsq6COcdNZxBmYm/TkRERET6jrQaAmTx29W/B1Y75/5fquNJpWeW7+KHz64h0++lMBg4pKynz2MUBAPkZ/t5dsVu7nxqNbGmcf9mxq3nT2dQpo+KusSGAjnnKK8LM3loDl84ZWLS34+IiIiIpIe0SgCAE4GrgdPNbEnT49xUB9Xb3t9Xw09fWs+gTB8Zvo4/Io8ZhUE/r2/Yx6OLtx/YXjQog598fDaDcwKU1jQSisTaPUd9KMr+2jDThudy1yVHkXkYawiIiIiISHpLqyFAzrnXgQFfe/LRxTuIOUegk8Z/MzMjJ8PH3xZu46LZIw8MBRqZn8W9V83hn4u388/3dlBeGwKL9x4AhKMOwygI+vn0h8dx3lHDyfCp8S8iIiLSn6VVAiBQ1RDmpTV7yM3q2hj8TL+X8toQC7eUc8KEwQe252X5uebE8fzH8WN4+/0y3txYSkVdGI/HGJKTwalTijh6VD6ew109TERERET6BCUAaWb59kqc++AufZcYzF+7t1UC0CzD52XuEUXMPaIoCVGKiIiISF+VbnMABrzqhjDdXcPL5/FQXtv9+v8iIiIi0v8pAUgzHjOM7lY2dfi8GsojIiIiIu1TApBmhgzK6PLiXc3CUceogqwkRyQiIiIi/YkSgDRz1Mg8cjJ9NISjXXqdc/Feg7NnDOuJsERERESkn1ACkGZ8Xg+XHTOK2sauJQA1jREmFecwoSinhyITERERkf5ACUAa+ujM4RQEA1TVRxI6PhSJEY46PnfyhB6OTERERET6OiUAaSgv288PLz2KDL+HirrwgeE9bakPRaluiPDVM49g9piCXoxSRERERPoiJQBpavyQIL/8xDFMLs6hvC5CWW2IxkiUSDRGKBKjsj5MeW2YgM/D/3xsBh89cniqQxYRERGRPkALgaWxEflZ/PwTx7BxXw1PLNnJO5vKqAtFCPg8HDUyn0vnjGLO2AK8WsVXRERERBKkBKAPmFiUw1c/ckSqwxARERGRfkBDgEREREREBhAlACIiIiIiA4gSABERERGRAURzAAaQPVUNvLWxlNKaEB4zRuRn8qGJQ8jL8qc6NBERERHpJUoABoDVu6p4cMEW3t1cfmBNAYfDg+H1rOf0qcV84oSxjMzPSnGkIiIiItLTlAD0cy+v2csPnlmDmSM/24/HWpcMjcYcz6/aw+sbSvnBpUcxbXhuiiIVERERkd6gOQD92KItZdz1zGqyMzzkZwcOafwDeD3G4JwAUee45ZFlbCurS0GkIiIiItJblAD0U7GY4+7n15Hh85Dh83Z6fE6Gj4ZwlN+99n4vRCciIiIiqaIEoJ9aur2C/TWNBDMSH+WVn+1nwfv72Vvd0IORiYiIiEgqKQHop55YshMOHfHToeYhQi+t2tsDEYmIiIhIOlAC0E9t3l9Llr/zoT8H85ixVfMARERERPotJQD9VCTmutoBAIAZhKKxpMcjIiIiIulBCUA/lZ/tJxxzXX5dJOoYHAz0QEQiIiIikg4SSgDM7AgzO67F8ywzu8vM/mVmX+q58KS7zp4+jFCka3fynXN4zDh5clEPRSUiIiIiqZZoD8AvgMtaPP8ecBMwArjHzP4z2YHJ4Tl1ajFejxHpwnCe+nCU4twMZo7UYmAiIiIi/VWiCcBRwBsAZuYBPgXc4pybA9wJXN8z4Ul35WT4uOjokVTWR3Cu86FA0ZijLhTj2g+Pw9pYMExERERE+odEE4B8YH/T17OBAuAfTc/nAxOSGpUkxWdPGs/xEwopqw0T7WA+QDgao6IuzJUlozltanEvRigiIiIivS3RBGAPMKnp67OAjc65bU3Pc4BIsgOTw+fzeph3wQwuPHoE1Q0RympD1IeiRGKOSDRGbWOE8towDeEYXzxlItedPF53/0VERET6uUSXiX0CuMvMZgLXAL9pse9I4P0kxyVJ4vN6+K/TJ3PV8WN5fuVunlq+i4q6EB4zhudlcfHskZwypYjsQOIrBouIiIhI35Voq++bQCZwNvFk4Hst9l0IPJ/kuCTJCoMBPn7cGD5+3JhUhyIiIiIiKZRQAuCcqwU+186+Dyc1IhERERER6TFaCExEREREZABptwfAzP7dhfM459wZSYhHRERERER6UEdDgDxA5wXk41Q6RkRERESkD2g3AXDOndqLcYiIiIiISC/QHAARERERkQGkS8XfzawAmEy8JGgrzrlXkxWUiIiIiIj0jIQSADPLBP4AXEH74/29yQpKRERERER6RqJDgL4LnAp8mngC8CXgOuB1YCNwfk8EJyIiIiIiyZVoAnAp8D/A35qev+2cu985dwqwFDinJ4ITEREREZHkSjQBGAOsdM5FgTAQbLHvD8CVyQ5MRERERESSL9EEYD+Q0/T1NmBWi31DgKxkBiUiIiIiIj0j0SpAC4DZwDPAI8AdZjYIiAA3EZ8LICIiIiIiaS7RBOCHxIcBAdwJTCI+J8BLPDn4YvJDExERERGRZEsoAXDOLQQWNn1dDVxqZhlAhnOuqgfjExERERGRJOrSQmAtOecagcYkxiIiIiIiIj0s0YXAPtXZMc65Px1+OCIiIiIi0pMS7QF4oJ3trsXXSgBERERERNJcognA+Da2DSa+AvAngE8mLSIREREREekxiU4C3tLG5i3AYjMz4GvEEwEREREREUljiS4E1pHXgPOScB4REREREelhyUgATgBqknAeERERERHpYYlWAbq1jc0BYCbxu/+/SGZQIiIiIiLSMxKdBDyvjW2NxOcBfA+4K1kBSe/auK+GJ5bs5OW1e6kPRckKeDl9SjEXHj2CCUU5qQ5PREREpE8ws3nAJ51zk1IdS2cSGgLknPO08chyzk11zs1rWhRM+hDnHL99ZSNffHARz6zYhd9rFAb9+L3G0yt28YUHF3Hfa+/jnOv8ZCIiIiLddM0112BmmBler5dRo0bxqU99ih07dnTpmDTwv8SHxqe9ZMwBkD7oj29u5uGF28nL8lMYDOD3ejAz/F4PhcEAeVl+Hnp3G39e0FYBKEmEc46N+2p4Z1MZ72wq4/19NUqoRERE2nDyySeza9cutm7dyl//+lfee+89Lr/88i4fk0rOuRrnXGmq4wAwM39Tpc42tZsAmNmYrjx6JnzpCaU1jfzfu9vID/rxetr+2fB6jLxsH399eytltaFejrBvC0ViPLdyN5/940JueHAxtz2xgtueWMEXH1zM5/60kBdW7SYcjaU6TBERkbQRCAQYNmwYI0eOZO7cuVx//fW89dZbVFVVdemYtvz85z9n6tSpZGZmMnnyZL73ve8RiUQO7B83bhy33norN954I4WFhQwdOpSvf/3rRKPRA8fU19dz/fXXAxxtZuVmdq+Z3WVmG5qPMbN5bT03s4+Z2RozqzWzl81sYsv4zGyOmT1vZjVmts/MHjWzsQcd8xEze8PM6s1sh5ndb2aDW+x/wMxeNLP/MrPNxIfqB9v7nnTUA7AZ2NSFh/QRz67YjYs5fO00/pv5PB5izvHcit29FFnfV9MY4ZZHlvHj59ayr7qB/GwfeVl+8rL85Gf72F3VwI+eXcu3H11OXSjS+QlFREQGmJ07d/KPf/wDr9eL1+vt9jEA8+bN43//93+56667WL16NT/96U/5zW9+w+23397quJ///OcMHz6ct99+m5/97Gf85Cc/4U9/+tOB/bfccguPP/44xNu8JwCVwA0JvJ3hwBeBq4APA/nAH5p3mtl04BXgLaAEOB2IAi+YWWbTMacDjwN/A44CLgLGAf886C7/cU2vvwiYBTS0F1RHk4A/AzSPV8gAvgNUAQ8De4BhwBXAIOCODs4jaeatjfvJ8Cc2+ivD5+HNjaX8x/Hq5OlMJBrjtsdXsmJHJYODfg7ueTMzcjJ8BAOOJdsquP2JlXzv4iPxeTUST0REBrb58+eTk5NDLBajvr4egJtuuolgMNilY1qqq6vjRz/6EY8++ijnnHMOAOPHj+fOO+/ky1/+Mnfc8UHz9eSTT+ab3/wmAJMnT+b+++/n+eef59prr6W2tpbf/OY33HvvvVx33XWVzrm1wLfM7DRgSCdvLQO42jm3D8DMfgj81cwynXMNwM3Ak86525pfYGafBMqBc4DHgFuBnznnft7imE8TL8YzC1jStDnWdK1Oy/O3mwA45x5ocZGfAIuBi12LQcxm9j9NgU3v7EKSPhojUTyd3P1v5jGjIaLhKol4Y+N+lm2voLCNxn9LZvEJ14u3VvD2pjJOnNTZ3w4REZH+7fjjj+ePf/wjDQ0NPPzww7zwwgutGuiJHtPSypUrqa+v59JLL231/3I0GqWhoYF9+/ZRVFQEwNFHH93qtSNHjmTTpvgAlw0bNhAKhTjhhEPm974FXNDJW9vZ3PhvsgMwoBjYChwLTDKzgxvtmcDkpq+PBU4wsy+1cf7JfJAArE6k8Q+JlwH9D+Aad9AMRuecM7NfAw8AX03wXJJig4MBdlbUk+Vvv8usWSgaY0hOoBei6vseencrAZ912PhvFp9wbTy8cJsSABERGfCysrKYNClePXPmzJmsW7eO//zP/+QPf/hDl45pKRaL38D8+9//zhFHHHHI/sLCwgNfBwKt2zpmduD1Lbd1w8ETKZvb0p4W//4Z+EEbr93f4pgfNh13sJbjtGsTDSrRBCAHKGpnXzEdTDLoKjP7A3A+sNc5NzNZ55UPnHfUCJZsq0jo2FgMzjtyRM8G1A/sqqxnw95aCrIT/ZWCQZk+Vu+qYm9VA8W5mT0YnYiISN8yb948ZsyYwQ033EBJSUm3jpkxYwaZmZm8//77nHvuud2OZdKkSQQCAd56662DdyWj5OdC4uP6Nx58o/2gY2Y45za0s7/LEh18PB/4vpkd23KjmR1HfCGw+ckKiHhvwjlJPJ8c5IQJg8nJ9FPb2PEk1NrGCLlZPo6fUNjhcQL7a0L4PF27O2Bm+DxGWZ2qLImIiLQ0depUzj//fL71rW916ZipU6fyi1/8AoCcnBy+/e1v8+1vf5tf/OIXrF27lpUrV/K3v/2NW265JeFYgsEgn//85/nOd74DkGdmR5jZ94BpfHBHv7u+33SeB83sODMbb2anmdlPzWxC0zG3Ah8zs3vM7Ggzm2hm55jZ780sqzsXTTQB+BLxckILzGyzmb3dVGLoLeIzjNsak9QtzrlXgbJknU8OFfB5uP3CGURjUN0QPqQ2vXOO6oYwsRjMu3AGfk1S7VS8nGp3ugYNT/e6FEVERPq1m2++mRdffJGXXnop4WPWrl1LaekHpfi/+93vcs8993Dfffcxa9YsTjrpJO655x7GjRvXpVh++MMfcsEFFwBMAN4BCojftG630k4inHOriVcHygGeA1YBvwOygIqmY14mXt3nSOA1YBlwD1ANhLtzXUt0YSIz8wPXEO/uGA7sIp4A/NE5162Ld3CtccRnRLc5BMjMrgeuBxgzZsycLVu0WFV3rN5VxQ+fWcOuqnpiMfB6IBqLT/wdkZ/JLR+dytRhuakOs08orWnkqt8tIC/bn3CDPuYclfUR/va5EygIap6FiIhIujOzRc65kqav/w2UO+cuTXFYXZbwgOWmRv7vmh4p5Zz7LfBbgJKSEi2t2k3Thudy/7XHsnJnFW9uKKWiPkx+tp8TJw1h+vDc7k52GZCG5GRwzJgC3ttWQX62P6HXVNaHOW78YDX+RURE0tzy5ctZvHgxQIaZzQSuBk4Duj+5IIUSn7Eo/ZKZMXNkHjNH5qU6lD7vspJRLNxSTsy5TnsBYjGHc3DJ7JG9FJ2IiIh0l5nxq1/9CuLj9d8C1hAvj/9MSgPrpnYTADN7n/gbW2pmm+h4koNzzk3sYL9Iv3fMmALOnjGMZ1fspjCn/aFAsZijrC7EeUeO4OjR+b0bpIiISB9UF4rw/r5a9tU04pwjLyvAhCHBXutFnzlzJgsWLMDMljQPAerLOuoBeIX4yr/NX/fKUBsz+z/gVGCImW0HbnPO/b43ri1yOMyMr5w5GY/BsyvjZXnzsvxNE4QhGnNU1seny5x/1Ai+dNokDbMSERFph3OOxVvL+fvC7SzeWo7XYzRPXTWL/786dnA2V5SM5tQpxSpa0gUJTwJOVyUlJW7hwoWpDkPkAOccq3ZV8dh7O3htfSnNbXzn4JQjirho9kimDhukxr+IiEg7ymtD3PPiOhZs3I/HY+Rm+Q7pWXfOURuKEgrHGDM4m2+dO42JRTk9GlfLScB92WElAGY22Dm3v/Mje44SgNRqjETZXxPCLD4RVtl3a7WNESqa7voXZPvJDmjajYiISEd2VtTz1YeWUF4XpiDb1+kNs3j58igAd1w0kzljC3ostv6SACTUGjGzzwH5zrkfNz0/EngGGG5m7wHnO+d2d3QO6V9Kaxp5dNF2/rVsF5FoDAdk+r1cNHsEFx09kvxsVbYBCGb4CGao0S8iIpKImsYIX//7UqrqwxQGE6uqZxbvIagPRfnuYyv4+Sdm93hPQF+X6O3a/wLqWzz/f8QXJ/gKkAf8T1KjkrS2dX8dX/jzIh5etJ2Az8jL9pOf7cdj8JcFW/jig4vYXXlY62KIiIjIAPTr+RsprWkkL8GS2i1lBbwAfP+p1YQisWSH1q8kmgCMIV7uCDPLA04BbnbO/Ry4DTi7Z8KTdNMYiXLLI8uoC0UZkhNoNeQn4PMwOCeD8vow33p0GbFY355fIiIiIr1ny/5anl+1m/ysrjf+mw3K9LK1rI75a/cmMbL+J9EEwAs0p1InEa8INL/p+TagOLlhSbpa8H4ZZbUhcrPaH9aSn+VnZ0UD720r75WYGiNRSmsaqWpI6oLUIiIi0oseX7ITAI+n+0UyzIwMv4eHF26jrxe66UmJDk5eD5wH/Bv4OPCmc66uad8IoKwHYpM09MSSHSQ0z9ccTy3bxZyxhT0Wy8Z9NTyyaDv/XhPP8qMxx8TiHK48djQnTxqCTxOSRURE+ozXN5QmZd5cMBDvBSivC1PYS+sE9DWJfpf/F/izmX0aKAAub7HvNGBZsgOT9LSvupGAr/OGdYbPw56qxh6L46XVe/jRc2ubFgPxN9UGdmwrq+P7T63m+AmF3Hr+jIRiFRERkdSqrA9TXhtKeOJvR8wMr8fYVFpDYbDnbkT2ZQm1jpxzfyU+7v8u4DTn3KMtdu8Bft4DsUkays7wEU1gbH805shumoyTbKt2VvGjZ9eSHfBSGAwcWGjLzBiU6aMw6Oft98u49+UNPXJ9ERERSa7KujA+ryVtjRznoLxWQ4Pbk3A/i3PudeD1NrbfltSI5LA451i6vZJHF29nydYKAKaPyOWSY0Zx7LiCw/7FOn1qMfe99j7BjI6Pi0ThzGk9MzXkL29vwcyR0c7dfTMjP9vPsyt38+kPj+u1ZcJFRESke5K9NqbDJf2c/UnC4yPMLGhmXzazf5jZy2Y2uWn7x81sas+FKIlyzvHzf2/g5n8s5e1N+wn4jIDfWLqtgu88tpzvP72aSPTwymJ9ZNpQfB4PjeFou8fUh6Jk+DzMPSL5CUBZbYiFm8vI7aRCgNdjRGOOl1UFQEREJO0NyckgEnVJm7jrMaN4UGZSztUfJZQAmNlo4uP8fwxMBuYCg5p2nwZ8vUeiky55fMlOnliyk/wsPwXZAXxeDz6P50Cd/pfX7uPBt7cc1jUKggFuPmcKtaEotY2RVr+o8ZX4wjREYnz3gukH6vEm077qRrwezyHLgbfFDLaV1XV6nIiIiKRWVsDL8PwsGsKHX78/5hzRmGN8UTAJkfVPifYA3A00Em/8zwFatr5eIZ4QSApFojH+8vYWcjK9bZbP8piRl+XjkUU7aOjg7n0iTp1SzJ0XzWRwMIPyughltSHKakNU1IUZkZ/Njy87imPH9cykG6/HcCR2d8A5CPh6Zh6CiIiIJNdZ04dSf5htFIDqhghHjconJwkVhfqrRL8zHwGud85tNbODW1Q7gJHJDUu6at2eGqobIuR3sHKe3+uhtjHMsu2VHDf+8Brox40fzLHjClm9q5qtZbWYGeOHBJlcnJO0CTxtGV2YRcDrIRSJdVrhx+MxZo3O67FYREREJHnOmTmMvyzYQjgaa7XQaFe4prv/V5SMTnJ0/Uui390AUN3OvjxA06xTrC4UIdF1M2pDkaRc08yYPiKXc2YO5+wZwzhi6KAebfwDZPi8fOzokVTVd/wjVx+KMijDx3E91BMhIiIiyTUkJ4NPfXgsVfWRbs8FKK8LUzK2kGPHFSQ5uv4l0QRgGXBpO/s+CixKTjjSXQXBANEYCf3CFGb37ao4l84ZxfD8LMprw22+34ZwlPpwlJvOOkKLgYmIiPQhl88ZzcyRue3+H9+Ryrow+VkBvnbWET1+Q7KvS7R19GPgs2b2Oz4Y7z/dzG4HPtu0X1JowpAgIwsyqQu1P3auIRwlN9PPzJF9e1hMXpafe648molFQSrqIpTVhKhuiMQXEakLE4vBredP50MTh6Q6VBEREekCn9fDnRcdyfQRuZTVhgknUL0w5hxltSFys/z8vytnMSSnk1rlgiWaXZnZF4AfEK/+05xWVQPfcM79tmfC61xJSYlbuHBhqi6fVt7aWMqtj69kUKbvkPHx4WiMqvoI3zh7CmfNGJaiCJPLOceqXVU8t2I3uyobyA54OXHSEOYeUUSmX5N/RURE+qpINMbfF23jT29uIRpzZGV4yfR5DtzZd84RjjpqGuPDms+YOpQvnjaR3MzDX0m4I2a2yDlX0qMX6QUJJwAQXwsA+BBQDOwH3nTOtTc3oFcoAWjtmeW7+Nm/1xONOfxeDwaEIjE8HuOzJ43nck2KERERkT5iX3Ujz63cxbMr9rCnugF/04THSMyRm+nnpElDuODoEUwsyumVeAZkAtDmCcwuBr7jnJuTnJC6RgnAocpqQzy/cjcLt5QDcOTIPD46cxjFuVoQQ0RERPqmulCE0uoQMefIy/JTEOz9OY39JQHosAyomeUC5wBjgI3AE865aNO+S4HbgJnA5p4NU7qiMBjg48eN4ePHjUl1KCIiIiJJkR3wMWawavsnQ7vfRTObDjwDjOKDMf9vmtnHgL8BpwO7gC8Bv+vhOEVEREREJAk6qgL0fSALuBqYDpxHvOb/O8BpwP8Ak5xz9zrntA6AiIiIiEgf0FE/yonAd51zf216vsbMSoG3gducc3f0eHQiIiIiIpJUHSUAhcQXAGtpadO/L/VMOJJK+2saeWnNXtbvqSY74GPuEUXMHp2PJ9ElhkVEREQk7XWUABgQOWhb8ypTDT0TjqTKo4u389tX3yfmHF6PEY05nl2xmzGDs7nrkiNbLaoRjTk8Rr9aZa95TYHH3tvBih2VmBnHjivkwl4sLSYiIiLSGzqbSn29mZ3f4rkBDviime1qsd05525LenTSK+av2cu98zeSl+XD7209LWTr/jq+8fel/OTjR/PCqj38Y9F29lU3EvB5OWNqMVeUjGbM4OwURZ4czjnunb+Rx5fsACCY4QMcz6zYxTMrdvPZk8Zx5bGqqCQiIiL9Q7vrAJhZ52svf8A551Ky9KrWATg8zjmu/v07VDWEyA60nQ/uq24kPytAZUOIYIaPTJ+HaMxR1RDB7/Vw50UzmT2moJcjT55HF2/nV/M3kp/tx3vQcKdINEZlfYR5F87gxElDUhShiIiIpIP+sg5Au1WAnHOeLjxS0viXw7eptJbSmkay/O1/hOV1ITbsq2FwMECW34uZ4fN6KAwG8HqMeU+spC508GixviESjfHXt7cSzPAe0vgH8Hk9ZPg8/OmtzRzuonkiIiIi6aCjMqAyANSFonjM2h3PH47GqGuM4m1nzH92wEtDOMYra/f1dKg9Yu2eamobI2R2kAAFM7xsKq1jT1VjL0YmIiIi0jOUAAxwxYMyiMZcu3e3G8JRHI6sdoYHAXg8sHBLeU+F2KPqQlE6m8tsZvg8UNtHezlEREREWlICMMAV52Zy5Kg8KurbXsst5gCMwTmBds/Rl0fGDA4GiDo6HN4Tc46og8Ls9r8HIiIiIn2FEgDhhlMnEvB6qKwPt2oIh6MxGsIxghk+Mnzt/6jEnOO48YW9EWrSjR8SZHRBFrWN0XaPqawLc+y4AgqCSgBERESk71MCIEwoyuGeK49m7OAgFXVhKuvCVNaHaQjHuPqEsVxZMoqKunCbd8lrGyPxRcMmF6Ug8sNnZnzhlImEojEawocmAXWhCF6Ph2s+PK73gxMRERHpAZ2tAyADxKTiQfzqqmN4v7SWnRX1ZPi8HDkyj6yAl5rGCFv217Fubw3ZAQ+Zfi/RmKO6IULA6+GOj80kK9B3C0GVjCvkO+dN48fPraO8Ngzm4qtdYAQzvNzxsRlMKh6U6jBFREREkqLddQD6Cq0D0DsawlFeWLWHvy/axu7KBrL8Xj4yfSgXHzOKkflZqQ4vKepDUV5dt5flO6vwmHHMmHw+NHEwGb6+m9yIiIhI8vSXdQA6Wgjs3104j3POnZGckLpGCYCk2qbSWuav3cv+2hCjC7I4Y9pQhuRkpDosERERSbL+kgB0NATIQ9NAiCZTgGHAZmAPMBQYB+wC1vZMeNJfOefYuK+Wjftq8HmMWaPz+1yjuTES5UfPrOG1DaU4Fy+H6mLwhzc2c/UJY7nq+DHtrq8gIiIikirtJgDOuVObvzazi4CfAic4595psf144KGmfSIJ2V3ZwJ1PrWLdnmrggwXGzpxWzJfPmNxnhtzc88I6XllXyuAcf6uGfiQa44E3N5OX5eeCWSNSGKGIiIjIoRKtAnQH8N2WjX8A59zbwDzgziTHJf1UZX2Yrzz0Hhv21lCQ7acwGKAg209epo/nV+7h+0+v7rAmf7rYVVnPy2v2UnhQ4x/A5/WQk+Hlj29uJhKNpShCERERkbYlWgVoMrCvnX17gUnJCUf6irpQhFfW7mPB+/sxgw9NHMLcyUWdVgN6dsVu9teEDllYzOMxAj7j8fd2sHBzOblZfk6fWsSFs0YyNDezJ99Kt7yzqYyoc3jaGeKT6fdSWRdm7Z5qZozI6+XoRERERNqXaAKwCfg88Ewb+z5PfF6ADBDr91TzzUeWUdMYxdPUh/TWxv3c99r7/OiyWYwfEmz3tU8t20l2G0nC7soG9lQ1EI1BRV0Yv9f4+7vb+dfSXfzw0qOYNjy3p95Ot9SFop2ugGxmba4tICIiIpJKiQ4Buh24wMxWmNk8M/ti078rgPOIDwOSAaC2McItjyyjIRKjIOgnLyv+KAgG4vv+sbTDRm91QwSft/Vd89rGCHuqGvB5DJ/XcDgy/V4KcwLEnOO7j60gFEmvoTQj87Pwetr/9XHOEYnFGJ7XP0qkioiISP+RUALgnPsbcDZQCXwL+GXTvxXA2c65h3oqQEkv89fupaYxwqDMQzuPcrP8VNSHeX19e6PFYHRh1iEJwr7qRiB+x9y5+PCZZjkZPqobwix4f3+S3kFyHD+hkCy/t91kp7IuwlGj8hnRT9ZIEBERkf4j0R4AnHMvOudOBLKIlwPNcs6d5Jx7qceik7Tz1vv78XnaL23pMePtTWXt7r9szmhCEddqom9tKIrXY8QcmEFBduv5ATHHgYpB6SLD5+WWc6ZQH4pR1RA+8H5iMUdZTYjMgJcvnz45xVGKiIiIHCrhBKCFbOJJQN+o1Si9zmg/QThx0hA+NHEw+2vCB+6eGxCJOaIxx4j8LPwHDRFyzhHwdedHtWd9eNIQfnjZUUwYkkNFXZiq+jCVDRE+NGkwv/jEbMYMzk51iCIiIiKHSHQSMGZ2PvA/wKymTccCi83sPuDfzrm/9kB8kmZOnDiEdzq4w++c44SJhe3u93qMW8+fzj/f28HDC7dRXhsmw+8h5mBMYTa5Wa1/JJ1zeD3GCRMGJ+09JNPRo/P5xSeOYW9VA9WNEQYHA+Qf1IMhIiIikk4Suq3atBDY40ApcAu0usW7Cfh00iOTtDT3iCIGZfqpbggfsq+yPkxedoAPTxzS4Tl8Xg+Xl4zmb9d/iL987nge+tyHmFgc5OCKms45ymrDzBqdz+TinGS+jaQrzs1kYlGOGv8iIiKS9hIdV3EbcL9z7izgJwftWwHMTGZQkr6CGT5+eOlRZPl9lNWGqKwPU1EXprw2zKBMHz+69KhWk3g74vUYQ3IymFCcw48vm0Uww0t5bYjSmkZKaxoprwsze0w+t14w45DFtkRERESkexIdAjQNuLnp64Orn5cD6Tk+Q5Kisj7MtrI6Mv0eJgzJYVJxDn/+7PG8um4vCzaV4THjhAmFnDy5KOHG/8GOGDqIv1x3Au9sKmPdnmoCXg/HTyhkYlGOGv8iIiIiSZRoAlAFtDeuYxztrxIsfVhdKMKv5m/kxVV7wMA5yMvy8/lTJnL61GLOnjmcs2cOT9r1/F4PJ04awomTOh5CJCIiIiLdl2gC8ALwLTN7Bmiux+jMLAP4Em2vECx9WCQa49uPLmflzirys/14m0p/1oei3PX0aqKxGB+ZPizFUYqIiIhIVyWaAPw38A6wFnia+DCgbwJHAXnART0RXF/gnOO19aX87d2tbNhbQ3bAx9kzhnHZnFEUDcpIdXjd9s6mMlbtqqIw6G81BCcr4MVjcO/LGzl1SjF+b/qV5xQRERGR9iWUADjnNpvZMcDtxFcEjgJzgWeBW51zO3suxPTlnONX8zfyz/d2EPB5yM/2E4k6Hn1vOy+u3sPP/mM2I/voSrDPrtyN16zN8fcZfi8VdWFW7Khk9piCQ/av3V3N3xduY8m2CvxeD6dNLeKio0dSnJvZG6GLiIiISAe6shLwdufcZ51zo5xzAefccOfctc65bT0ZYDpbubOKx5bsID/bz6BMHx4zAj4Pg4MBahoi3PPCulSH2G1V9WF83vYn3xpQF4oesv35lbv58v+9x2vrS4k5R0M4wt8Xbudzf17Ehr01PRixiIiIiCQi0XUAPmVmJ7Szb4iZfSq5YfUNTy6Ld3w0j49vKT/bx/LtleypaujtsJJiyrBcGiOxNvc554g6x+iC1ivdltY0cs8L6whmeCkI+gn4PGT4vQzOCRCORLnjyVU4d3ARKRERERHpTYn2ADwAvGpm/9nGvonA/UmLqA9wzrFuTzULN5cTisSIxg5t1JoZXo+xr7oxBREevvOPGo5hhNpIAirrw0wfnsuYwa0TgBdW7iEacwR8h/5YDcr0sbuygZU7q3osZhERERHpXKKTgCG+EvDPzOwI4CtugN7K3VPVwO3/WsnGvTXsrW6ktjHC3upGhuVlUJSTcWDMvHOOSCxGYbBvrgw7ujCbG8+YxE9f2kBNY4TsgJdozNEQjjEkJ4NvnTvtkNds2l+Lp43eEIgnRFj8+zdzZF5Ph9+uhnCUp5fv4p/v7WB/TSPFuZlcdswozpoxrM3ERURERKS/6UoC8GPgYeK9ARPM7OPOudoeiSpN1YeifO3hJeyvaSQ/24/f62HjvlrMYGdFAx6Lr2wLUFkfYeqwXEb00UnAAOceNYIjhg3in4t3sHxHJZl+L2fPGMpHZgwjN9N/yPFDggFiHeSFBgxq43W9pT4U5eZHlrJ6VxXBgI9gho+y2kZ+8uJ6Xlm3j+9dfGSvJAHOOdbuqWZnRT05GX5mjc4jw9e9BdREREREuqorCQDOub+b2SbivQGvm9n5PRNWenp1/T72VTceuKufk+mjIOinvDaMGeyubCA/y09VfYSsgJevfuSIFEd8+CYVD+Ib50xN6NjTpw3lH4t3EIu5Q3oCGsJRMnweZo1O3d3/RxZvZ/XOKgbnBA701GQHfGT5He9tq+CZFbv42NEjezSGrfvruOOpVWwtq8WIx5Dh83DjGZM5fdrQHr22iIiICHShClAz59xC4HjiawG8Cxyb7KDS1fy1e/Ed1LAdU5DNqIIsAl4voUiM/TUhTp9WzC+vOobxQ4IpijQ1JhXncO7MYZTVhmkIxysEOeeoaYhQG4rylTOPSPqd7mjMsWhLOU8t28Xr60sPXPdgzjn+uXg7gzJ9h5Q2NTOyA17+sWh7UmM7WHltiK89vITtZXXkZ/nJz44/zOCuZ9aw4P39PXp9EREREehiD0Az59x2MzsJ+AvwM+LJQL8XibpD6+IbDM4JMDgnQEVdmLsvn8WMFI5xT7UvnzGZ0YOz+ds7W6moCxNzjnGDg1x38gSOG1+Y1Gut2V3F7U+spKw2fp3mMqw3njmZMw+6mx6OOiobIgzJaXtORqbf0+MVm55ZsYuqhvAh80Iy/V4iMcd9r73P8eML21x7QURERCRZEk0Abgda3R51ztUBF5vZN4EpyQ4sHR0/oZCl2yra3BeOxvB5jYnFOb0bVJrxeIxLjxnFRUePZF91Iz6vMTgYSHqjdndlAzf/YxnRmCPD76G0upG6UBQzuPWxFQQzvHxowpADx/u9RjAQ76Vpa5x/KNLzE7b/vWYvmf62e0CCAS9by+rYXxs6MI9EREREpCckNATIOXd7e6v9Oud+4Jy7NlkBmdk5ZrbWzDY0JRdp4yPThpGd4aOmIdJqe8w5KusiXDp7VLsNvIHG6zGG5WUypEVlpGR6fMkO6sNR6kNR1u+pobwuTCQWozESo7QmxNf+tpTaxg8+JzPjglkjqKoPH3Ku5mFKF/Xw+P9w1NFOkSTMDI8ZkeiA6EwTERGRFGo3ATCzuWaW0+LrDh/JCMbMvMAvgY8C04H/MLPpyTh3MuRl+/nhpUeR4fdSXhtmf02I/TUhKurCnD1jKFd/aGyqQxwwXl23D68Zuyob8HkMvzfegPZ5jIDP2F/byK/mb2z1mstLRjOqMJv9NY2Eo/H1DUKRGPtrQ0wqHsSFR4/o0ZhLxhW0uXoyxCdJD8r0UTRId/9FRESkZ3U0BGg+cALwTtPX7d2atKZ9ybj1fRywwTn3PoCZ/Q34GLAqCedOiinDBvHXzx3Pmxv3s353NcEMHydNHsLYwQNrwm+qxZyjvC4EQBvTMvB4jBdX7+E/T5tEViD+o5mX5eenH5/NQ+9s5V/LdlFVHyIY8HHV8WO5omQ02YFuTYlJ2EVHj+Tp5buoD0fJatFTFI05ahoj/Odpk9pcVVpEREQkmTpq8ZzGBw3v0+mdib4jgW0tnm8nXnEorWT4vJw2pZjTphSnOpQB6/jxg1m2oxJPG31YMQeZPi/gKK1pZHThBysW52X5uf6UiVx38gQaIzEy/Z5em3Q7ujCbeRfM4I6nVlFWG09enIsP/7l49qgeH4IkIiIiAh0kAM65V1p8Pb9XooG2WmKHJB5mdj1wPcCYMWN6OiZJQ5ccM4oH3txMQySK1/vBj03MOaLOMSo3gHMQzGj9I14XihBz8Um3zT0Dven4CYP5v8+dwCtr9/F+aQ0F2QFOnVLcKkkRERER6UkJjXkws/eBi51zS9vYNxN4wjk3IQnxbAdGt3g+Cjhk8rFz7rfAbwFKSko0a3IAGjM4my+dPokfP7f2wHj+ZiPyMzEzZo7MP1DZ572t5Tzw5mZW7awCYOzgbK4+YSynpKAXZ1Cmn/Nn9ex8AxEREZH2JDroeRzQ3uzETCBZs1/fBSab2XhgB/Bx4BNJOrf0M5/+8DiWbq9g4eZyfJ740KxBWT7qQlF8Xg9fOGUiAK+s3cv3nl6Nz2MUBv0A7Klq4I6nVrOrsoGPH6deJBERERk4urIScHt32kuAisMPBZxzEeBLwHPAauBh59zKZJxb+h+/18OPL5vFNR8eR352Bn6vh9rGKLNHF/DTj89mUnEODeEodz+/juyAl9wsP2aGmRHM8JGf5eP+Nzezr7ox1W9FREREpNe02wNgZl8Fvtr01AH/MrPQQYdlAYXA35IVkHPuaeDpZJ1P0l8s5li6vYJFW8oBmD2mgNmj8/EkUBEn0+/l86dM5JoTx1FWGyI74CMvy39g/6It5YSiMfIz/Ie81uf1EItFeHXdPi6dMyp5b0hEREQkjXU0BOh94KWmrz8NLAT2HXRMI/FKQfclPzQZCMprQ3z7n8vZuK+WmIuP5f/7wu2MGZzNXZccmfCquBk+L8Pzsg7ZXlkfJhbreJrIvhr1AIiIiMjA0VEVoMeBx4HmMon/45zb1EtxyQDgnOO7j69g474aCrL9rcpxbt1fx7f/uZzffHLOYZXpHJqb0WFPghmMKjg0cRARERHprxKaA+Ccu1aNf0m2VbuqWLfn0MY/QH62jy37a1m2vfKwrjFrVD65WX5qGyOH7GuMRPF7Pcw9ouiwriEiIiLSlyS89KmZTQCuAMYQr/zTknPOfTaZgUlqNI/H315eTzDDS8m4QnIzDx0/nwyrdlYRjcXavMNvZkSjsGx7BbNG53f7Gj6vh1vPn84tjyyjrDZEToYPM6hpiGIG3/ro1B57fyIiIiLpKNF1AD4G/J14j8Fe4mP/W1It/n5gw94a5j2xkn01jcRiDo/H8Bh8+kPjuPLY0UlfMdcMrM213+IcDk8SrjlzZB6//uQcHl28nVfX7yMSdZw8eQhXHDuaI4YOOuzzi4iIiPQlifYA3AnMB65yzh08EVj6gdKaRr7+96WEIlEKsj+4Ix6Oxrjv9U0EM3xckOTFq44eXYDHE58LcHBy4ZzD6zHmjCtIyrVGF2Zz45lHcOOZRyTlfCIiIiJ9VaLrAEwA/leN//7ryWU7qWuMkJvVejiM3+thUIaXB97cTOSgFXcP18SiIMeMKaCsNoxzH3QiOecoqw1z5Mg8pugOvYiIiEhSJZoArAEG92Qgklovr9lHVoa3zX0Zfi+1jRHeL61N6jXNjO+cP51jxxdSXhemtCZEaU2I8rowx4wpYN6FM5I+7EhERERkoEt0CNDNwE/M7G3n3Ps9GZCkRiQW6zAbNINoJ/X0uyMnw8f3Lz6SzaW1LNtRiXOOI0fmMaEoJ+nXEhEREZHEE4B5xHsAVpvZeqDsoP3OOXdKMgOT3jVnTAHPrdxDhv/QXoBwNIbHjLGDs3vs+uOGBBk3JNhj5xcRERGRuESHAEWBtcCbxFcDjh70SO7gcOl1Fx8zCjNoDEdbbXfOUVUf4YJZI8gOJFw1VkRERETSVEItOufcqT0ch6TY+CFBvvXRqfzg2TXUhqJ4PUYk6jCDEycN5jMnjk91iH1GXSjCoi3l1DZGKBqUydGj8/F2sBqxiIiISG/SLV054JQpxRw5Kp8XVu1h3Z5q8rL8nDGtmOnDczUZNwHOOf6+cDt/emszkZgj5uLrGORl+bnlo1M5ZkxySpqKiIiIHA5rWX6xwwPNRgI3AXOJzwe4wDm3wsy+ArzlnHu7x6LsQElJiVu4cGEqLi3SysPvbuO3r20kL8uP3/vB6LraxgjhqOPuK2YxY0ReCiMUERGRw2Fmi5xzJamO43AlNAfAzGYAy4GrgZ3AGCDQtHsscGOPRCfSR9SFIvzxrc2HNP4Bghk+zOD3r21KUXQiIiIiH0h0EvDdwGpgPHAJ0HI8yJvACUmOS6RPWbi5nEjMHdL4b5ab6WPFzkrKakO9HJmIiIhIa4kmACcBP3DO1QAHjxnaAwxLalQiPai0ppEt+2upaggn7Zw1jRE6Gk5nZng9Rk1DJGnXFBEREemORCcBd1TmcwhQn4RYRHrUih2V3Pfa+6zaVYXPY0QdnDxpCJ85aTwj8rMO69xDczM6nCgdjTmcg8KcQLvHiIiIiPSGRHsA3gGubWffFcAbyQlHpGcseH8/Nz28lLV7qinI9pOb5Sc308er6/fxpb8uZnt53WGd/+jRBeRl+qkLtX2Hv6IuzKlTisjJUOEtERERSa1EE4A7gAvM7HniE4EdcKaZ/RG4GPheD8UnctgaI1F+8MwaMv0e8rL8B+7Uez1GYTBAbWOUn764vtvnd86xfEclhUE/63bXsGRbBZtLa6ltjBCNOfbXhCgIBvjMSVpLQURERFIv0YXAXjGzi4CfAH9o2vwDYDNwUapKgIq0VFrTyPy1e9lZUU9hMMApRxQzujCbdzaVUR+KUBBse/hNfraPpdsr2FVZz/C8rg0Fcs7x+9c38fDCbZjB+KIge6oaKKsNU14XpiDbz4VHj+S6k8dTPCgzGW9TRERE5LAkPB7BOfcU8JSZTQKKgf3OubU9FplIgpxz/OmtLfz1na0HJuI6B396awunHFHEmMJsIrGOJ+j6PB52VjR0OQF4Y8N+Hnp3G/nZ/gOr/eZl+QlHHaFwlPpIlPOOHK7Gv4iIiKSNLg9Ids5tADb0QCwi3fLwwm38ecEW8rP9+DwfTMR1zvHy2n2MLszC6Hgl45hzZPgSHRH3gb++s4WAz3Og8d/M7zX8Xh/huhgPL9zGrNH5XT63iIiISE9oNwEws0915UTOuT8dfjgiXdMQjvLggq3kZflaNf4hfme/MOhnS2kdDkfMOTzWOkGoC0WpaYzg9Xgo6mKFntrGCOv31FAY9Ld7TG6Wn3c3l+Gc67BKkIiIiEhv6agH4IGDnjePobA2tgEoAZBet3hrOeFojGBG241wT1P9/WG5meyqbGRwTnwScG1jhG1l9TREosRijsE5GXzq/neZO3kIN555RELVeiIxhxkdNuwNiHZURLcLYjFHXTiK32tk+LzJOamIiIgMOB21clqWLBkF/BV4Cvgb8cW/hgL/AXy06V+RXlfTEKGD9bcAMIOScYWU1YZ46/39NESi7KlsxDnwGIzIz2JYXiaxmGP+2n3srGjg/105q9NGdm6mj8JggPpwlCx/28fWNkaZVBQ8rLv/ZbUhHl+yg8eX7KQuFH+/s0bn8/FjR1MyrrDb5xUREZGBqd0EwDm3pflrM/sp8Dfn3C0tDlkLvGpmPwRuJl4OVPqJLftreXVdKZX1YUYVZHHqlCLys9NvEashgzLorG3tHIwpzObLZ0xm475avvTXxeRkRMjNClCY7cffNPbf44kPGVq3p5r5a/Zy9szhHZ7XzLh8zijufWUjmT7PIY185xyNkRhXHDu62+9ve3kdX31oCRV1YQY1JRzOOVburORbj1Zw1QljuObDKi8qIiIiiUt0EvAZwC/a2fcC8MXkhCOpVh+K8sNn1/DmxlKc40Dj+tevbOTaE8dxRcnotBrLPmtUPoMyfdSHomQFDr0LH4nG8HiMU6cUY2b4vYZzMKk4p833YWZk+j08vHB7pwkAwPmzRvDmxjKWbitnUJbvQK9BQzg+t+CkSUWcOqW4W+8tFnN857EVVDdEGNxifoKZkZflJxpz/PXtrUwblsvxEwZ36xoiIiIy8CRa9qQRKGln37FAKDnhSCo55/j+06t4Y0MpBdl+BucEKAzGHzkZXu57bRNPLtuV6jBb8XqMr5w5mfpwlPpQtNW+UCRGRX2Eq08Ye2ANgJ0VDXg8HY/bzwp42VFRn9D1M3xevn/JTK49aTyGUVkXpqIuTMDn5YunTOQ75007pEJQopZsr2BXZQP52W3Pb/B6DJ/H+L93tnbr/CIiIjIwJdoD8DAwz8yiwN/5YA7AFcBtwO97JjzpTRv31fD2pjIKg/5DGsg+r4ecTC9/eH0T58wcht/b9ZKZPeXESUXMu2AGP31pPRV14QM9FwGfhy+eMoFLjhl14NhMf+dxR2OOQBdKgmb4vFx1/FiuLBnNnupGPAbFgzK73fBv9vq60gPrGrRnUKaPlbuqqGoIk5vZfjUiERERkWaJJgA3AYOAu4ivANzMEZ8cfFOS45IU+PfqvTjavzue4fNSURdm+Y5KjhlT0LvBdeLDk4Zw/ITBLN9Ryf6aRnIyfBw9Jv+QibzThufi83gIR2PtJjHVDRHOTWD4z8F8Xg8j87u2kFhHakJhvJ0MtzIzvGY0hmOgtcZEREQkAQklAM65euBqM7sDOB4YDuwC3nbOrevB+KQXldWFOm1wQrzyTjryeoyjO1lwK9Pv5bI5o/jzgi0UBv2t1gWA+Nh9rxkXHzOyByNNzOiCjlcwhg/mOORmdXlNPxERERmgutRqaGrsq8HfT43IzyLaQYOzeThKYTD9qgF1xVXHj2F7eR2vrN2HxwPZAR8x56gNRfF7PPz3edMYOziY6jA5c/pQHlyw5ZAFzFqqrI9wwawRWhdAREREEpZQAmBmYzo7xjmnmYh93JnT4g3OaMy1OX69LhRlcDDAjBG5KYgueXxeD98+dxrnzBzGo4t3sH5vDQGvce6Rwzn/qBGMSOIwnsMxPC+Lc2YO56nlu9rsrahuiJAd8HJ5yah2ziAiIiJyqER7ADbTetXftugWZB83Ij+Li44eyaPv7SAvy9dqjHxdKEpjJMaXz5icVmVAu8vMmDO2kDlj03shrf86fRLRmOP5VXtwzhHwGdGYwznIy/bzvYuOZHheeiQsIiIi0jckmgB8hkMTgMHAecAE4I5kBiWp84VTJpKT6eOhd7dR2xjFOYeZkZvl51sfnap6873M5/Xw9bOncOWxo3l2xW42768ly+/llClFHD9+cJeqFYmIiIgAWGdlBjs9gdmfgS3Oue8kJ6SuKSkpcQsXLkzFpfu1ulCExVsqqA1FKB6UwVGj8g8MC2r+mekPPQEiIiIiiTKzRc659tbG6jOSUTrkQeB+ICUJgPSM7ICPkyYPOfA8HI3xypq9PPTuNjbuq8VjcNSoPC6bM5rjxxcqGRARERHpI5KRABSjCuT9WkM4yncfW8F72yrI9HkYHPTjgJU7q1i6bQVnzxjGTWcdoSRAREREpA9ItArQ3DY2B4CZwLeA15IZlKSXX8/fyJJtFQxusUKwAXlZfmLO8ezK3UwsDnLxbFWjEREREUl3ifYAzOfQScDNt3tfAb6YrIAkvVTWh3lu5W7ys/1t3uH3mJGT4eWvb2/lgqNG4GtndV0RERERSQ+JJgCnc2gC0EB88u/u5IYk6WTx1nJijjbXBWiW6fdSUR9m475apgwb1IvRiYiIiEhXJZQAOOfm93AckqbqQ1Fcp0tAxLuD6kKRng9IRERERA5LQuM1zCxqZse1s2+OmUWTG5akiyE5GYesQHsw5xyxmGNITkYvRSUiIiIi3ZXogO2OWoBeOl8lWPqo2WPyyfJ7aQy3n+PVNEaYWJzD6MLsXoxMRERERLqjwwTAzDxm5m0+tul5y0cQ+ChQ2uORSkr4vR6uO3k8NY1RItHYIfsbwlHCUcfnTp6QguhEREREpKvanQNgZrcBtzY9dcAbHZzn3mQGJenl3COHU9MY4Q9vbMbFIvh9hnMQiTn8Xg/fOW8as8cUpDpMEREREUlAR5OA5zf9a8QTgd8D2w86phFYBTyZ9MgkbZgZVx47hjOmDeW5lbtZvr0Sn8coGVfIGdOKGZTpT3WIIiIiIpKgdhMA59wrxGv8Y2YO+J1zbmdvBSbpZ0hOBlcdPxaOT3UkIiIiItJdiZYBvb3lczPLAyYDu51zB/cKiIiIiIhImmp3ErCZnW1mP2hj+38De4G3gS1m9lczS3RBMRERERERSaGOGu5f4KDynmb2EeAOYDlwHzAN+DywCLi7h2KUfqi0ppFdFQ2YwaiCLPKzA6kOSURERGRA6CgBmE28sd/StUADcLZzbjfEJ4gCn0AJgCRgze4qHlywhXc2leHzxDugos5x8qQhXHXCWMYPCaY4wuTYVlbHu5vLqKgLE8zwMmNEHjNG5Db/voiIiIikTEcJQDGw8aBtHwFeb278N3kKuDrZgUlqNUaivLlxP6+t20ddKMqwvEzOnjGMqcMGdbsR+9r6fdz51GrAkZ/tP7DCcDTmeHX9Pt7cuJ87L57JMX24pOiGvTXcO38DK3ZUEnMADufA6zGG52Vy/dwJnDipKNVhioiIyADWUQJQDRy4HWtmk4HBwIKDjqsivhqw9BPvbi7je0+tpj4UxQy8Hli8xfH08l1MLs5h3oUzKRqU0aVzbiqt5ftPrSbb7yHD3/rHxesxCoMB6kNRbn18BX/49LEU52Ym8y31ihU7KrnlkWVEYzEKsv2tEiXnHGW1IeY9sYovnjqRS44ZlcJIRUREZCDraCXgNcDHWjz/GPE5Ac8fdNx4YE+S45IUWbSljO/8cwXOOQqCfvKz/QzK9FOYE6Ag28/GfbV85aH3qKwLd+m8jyzaTtS5Qxr/LWUFvIQiMZ5avutw30avK6sN8d//XI7HID87cEgviZkRzPCRm+Xj1/M38t7W8hRFKiIiIgNdRwnAPcB1ZvYPM/slcDvxyb8Hrwh8MbC0h+KTXhSLOX783FoCPiMrcGhD3czIz/azp6qRhxZuTfi8DeEoL63ZQ25W58WicjJ8PL5kJ865To9NJ8+u2EV9OEowo+P36Pd68HqNv7y9pZciExEREWmt3QTAOfcY8BXgWOBTxIf+XO5atMzMbBRwGvB0j0YpveK9beWU14Y6bcTmZvr419JdNISjCZ23oi4MjgOTfjsS8HmoC0WoCyV27nQQjTkeWbyDYBtJU1tyM30s217Jjor6Ho5MRERE5FAdtvSccz8DftbB/u1AfpJjkhRZuq2SaAJ33gM+Dw3hMFvL6jhi6KBOj/d6jFiCMTjniDnweftOtZzyuhA1DREKgv6EjjczvB5jc2ktI/Ozejg6ERERkdY6vyUrA0ZDOHqgMk8iQpHEmvWFwQB5Wf6EegxqQ1HGDc4mw9d35pVHog5PV/MVB5FY3xrmJCIiIv2DEgA5YHRhFokMvY85RzTmKE6wEpDXY1w2ZxS1jR0nAM45QpEYVx47OqHzpou8LD+O+ByKRDmgIDuxHgMRERGRZFICIAecPLkIr8eIdtKQrW6IcOSo/C6V6vzozGEMzc2koi7U5n7nHOV1EcYPCTL3iL5VJz8r4OVDEwdTVR9J6PiGcJScTB/Th+f2cGQiIiIih1ICIAfkZwc498jhVNSF263CE4rEiMYcV58wtkvnHpTp5/9dMYtheVmU14aobggTicaIRGNU1oepqAszqSjIDy45qk8N/2l2yexRxHCd9gI456hpiHLp7FH4vPr1ExERkd6XNi0QM7vczFaaWczMSlIdz0D1hVMmcsKEwZTVhqluiBxIBKKx+EJWtY1RvnLGZGaNzu/yuYtzM/nt1SV85/zpTCoeRCjqCEcdM0fk8T8fm8nP/mM2BcFAkt9R75g5MpfzjhxOWW243R4U5xzltWGOGJbDxceM7OUIRUREROIsXeqtm9k0IAb8Bvi6c25hIq8rKSlxCxcmdKgkKBpzvLpuH397dyubSmsPTAw+efIQLpszminDOq/8MxBFY47fvLKRx5fsJOYcgzJ9+LxGLOaobojPf5g5Mo95F05nUKbG/4uIiPQ1ZrbIOdfnb1R3vjJTL3HOrQYOWUFVep/XY5w2tZhTpxRRVR+hMRJlUKa/zcXB5ANej3HDaZO4YNYInly2i5dW76GyLkKG38OJkwZzyTGjmDEiVz/jIiIiklJp0wPQzMzm00kPgJldD1wPMGbMmDlbtmhV1f6otKaRnRX1RGKOwuwAYwdnq/EsIiIiKaMegG4wsxeBYW3s+m/n3OOJnsc591vgtxAfApSk8CRNLN1WwcMLt7FwcxlejweIlx0dVZjNlSWjOW1qMX5NoBURERHpll5NAJxzZ/bm9aRvcc7x5wVbeHDBFjwGedn+A/MPnHPsrWrgx8+t5YVVe/ifj83UkCQRERGRbtBtVEkbjy3ZyZ/e3Exulo/87ECrVYnNjGCGj8KgnyXbKrjjqVXtlioVERERkfalTQJgZheb2XbgQ8BTZvZcqmOS3lMXinDfa++Tm+XH52n/x9LMKAz6Wbi5jCXbKnovQBEREZF+Im0SAOfcP51zo5xzGc65oc65s1Mdk/SeV9ftIxx1BHyd/0iaGWbw6OLtvRCZiIiISP+SNgmADGzPr9qD35t4hZ+8LD8L3i8jFIn1YFQiIiIi/Y8SAEkLFXUhfF1IADxmeMyoD0V7MCoRERGR/kcJgKSFTL+3S5N6nXNEXWJDhkRERETkA2o9SVooGVtIQzjx4Tx1oShjCrPI9OtHWERERKQr1HqStHDukcMxIJZgL0AoEuPKY8doZWARERGRLlICIGlhWF4mJ08uorw23OlQoKr6CPnZAeZOLuql6ERERET6DyUAkjZuOmsKU4cPYn9tmEj00OFAMecorw2R4ffwg0uP0krAIiIiIt3gS3UAIs2yAl5+fNksfv/6Jp5evotIQxRHvDfAuXj9/5KxhXzp9EmMyM9KcbQiIiIifZMSAEkrmX4v/3naJK49cRyvrS/l/X01hKMxhudlMfeIIobmZqY6RBEREZE+TQmApKXsgI+zZwxLdRgiIiIi/Y7mAIiIiIiIDCBKAEREREREBhAlACIiIgPQqaeeynXXXZfqMEQkBZQAiIiISFJMmjSJefPmpToMEemEEgARERFJK7FYjGg0muowRPotJQAiIiIp9stf/pLp06eTkZFBcXExl112GQDV1dV8/vOfp6ioiMzMTEpKSnj++ecPvG7z5s2YGQ8//DAXXHAB2dnZTJgwgT//+c+tzr9lyxbOOeccsrKyGDNmDD//+c8PiWHcuHHceeedrbZdd911nHrqqQnFeuqpp7Jx40Zuv/12zAwzY/PmzQAsWLCAuXPnkpWVRUFBAZ/4xCfYu3fvgXPOmzePSZMm8dBDDzF16lQCgQCrV6/u9vdTRDqmBEBERCSFbrvtNm655RZuuOEGli9fzrPPPsvRRx8NwGc+8xmee+45HnzwQd577z1OPPFEzj//fNasWdPqHN/85je5+uqrWbZsGVdccQXXXnst69evB8A5x8UXX8z+/fuZP38+TzzxBE888QSLFy9OaqyPPvoo48aN46abbmLXrl3s2rWL0aNHs3v3bs466yxGjRrFO++8w7/+9S9WrFjBpZde2urcO3fu5N577+WBBx5g1apVjB07tuvfTBFJjHOuTz/mzJnjRERE+qKamhqXmZnpfvzjHx+yb/369Q5wTz31VKvts2fPdtdee61zzrlNmzY5wN19990H9ofDYRcMBt2vf/1r55xzL7zwggPc2rVrDxyzd+9el5mZ6T772c8e2DZ27Fh3xx13tLrWZz/7WXfKKad0GmuziRMnuttuu63Vtu985ztu5MiRrrGx8cC2JUuWOMC98sorzjnnbrvtNmdmbsuWLe2eWyQdAAtdGrR/D/ehHoBucM4RicZSHYaIiPRxK1eupKGhgbPOOuuQfatWrQJg7ty5rbbPnTuXlStXttrWfBcewOfzMXToUPbs2XPgPEOGDOGII444cExRURFTpkxJWqydve6EE04gEAgc2DZr1izy8vJavY+hQ4cyZsyYLp1bRLpHKwEnyDnH8h2VPLp4O29u3E805sgKeDlnxjAunDWSMYOzUx2iiIj0UWaW8LHOuUOOb9m4bj5fLBZr9/i2eDwe4jc4PxAOhw8r1s5e03J7MBjs8nlFpHvUA5CASDTGj59by9f/vpQFG8vIy/IzJCdAhs/DE0t38rk/LeTxJTtSHaaIiPQx06dPJzMzk+eee+6QfTNmzADg1VdfbbX9tddeO7AvETNmzGDfvn0H5gQAlJaWsm7dulbHFRcXs3Pnzlbb3nvvvYRibRYIBA6p3jNjxgzeeustQqHQgW1Lly6lsrKyS+9DRJJHCUAC7p2/kedX7iE/209+0I/XE69u4Pd6KAwGyMn08vN/b+Cl1XtSHaqIiPQhOTk53HTTTcybN49f/vKXrFu3jqVLl3LXXXcxceJELr/8cm644Qaee+451qxZw4033siKFSv4xje+kfA1zjjjDGbNmsUnP/lJ3nnnHZYsWcJVV12Fz9d6EMCZZ57JQw89xPPPP8/atWv56le/ypYtWxKKtdn48eN544032Lp1K6WlpcRiMb70pS9RVVXFNddcw4oVK3j99de5+uqrOemkkzj55JMP/5soIl2mBKATuyrreWrZTgqDfjztdGH6vR6CGV5+/cpGojHX5jEiIiJtueOOO/je977Hz372M2bOnMlZZ511oELPfffdx9lnn80nP/lJZs2axRtvvMGTTz7J1KlTEz6/mfHYY4+Rl5fH3LlzOf/88zn33HM55phjWh13yy23cN5553HllVdy8sknk5eXx+WXX55wrAC33347lZWVTJkyhaKiIrZu3crQoUN5/vnn2b59O8ceeyznn38+M2fO5JFHHjmM75qIHA47eLxfX1NSUuIWLlzYY+f/w+ub+Nu7WykMBjo9trw2zB0XzeS48YU9Fo+IiIiIpIaZLXLOlaQ6jsOlHoBOvLe1nAxfYt+mSCzG2t1VPRyRiIiIiEj3KQHoRNQ5Ei14YAbhaN/uURERERGR/k0JQCdGF2bTGE6sUe8xY2RBVg9HJCIiIiLSfUoAOnHBUSMADqmNfLBINIbP4+HESUN6IywRERERkW7RQmCdmDEilwlFQd7fV0tB0N/mMc45KusjXDx7JDkZ+paKiEjviURjbCuvZ2dFPaFoDAOyAz7GDs6meFBGtxbuEpH+Ta3VTpgZd1w0k68+tIRdlQ3kZfnwez/oOKkPR6ltiHLc+EI+N3dCCiMVEZGBorYxwvy1e3ly2S42ldZiAAbNndUeg6iDDK+HmSPzuGj2SOaMLcDrUTIgIioDmrDKujD/9+5Wnlq2i0jz8upAXqafK0pG8bGjR+LzakSViIj0nOqGMH98cwvPrNhFOBojw+chy+/F007DPhKNUdsYJQbkZvq4+oSxnH/UiHaPF5GO9ZcyoEoAuqghHGXt7moawlFys/xMGTpIf0hFRKTHLdxcxg+eXUNVXZjcLF+Xbzo1hKPUNkaZPjyXmz86lZH5Kloh0lVKANJEbycAIiIivck5x+9ee5+/L9xOpt9D8DDmmjXPWfN6jNsumKGFK0W6qL8kABqzIiIikqacc/zi5Q08/O528rP9h9X4h/i8tvxsPz6v8d3HlvPmhtIkRSoifYkSABERkTT1f+9s5fElOykI+pM6gTfL7yUr4OV/nlzF6l1awV5koFECICIikoY27K3hj29uIT/L1yPVezL9Xrwe+N5Tq2gIR5N+fhFJX0oARERE0kw4GuMHz6zG67EerTA3KNPP3upGHnhzc49dQ0TSjxIAERGRNPPK2r1s2V/HoExvj18rL8vPPxdvZ29VQ49fS0TSgxIAERGRNOKc4+GF28nwe3plFV+vx3AOnl25u8evJSLpQQmAiIhIGlm/t4Yt+2sJBnr+7n+zYKaPfy7eQTga67VrikjqKAEQERFJI4u3lBNz9Mrd/2YZPg8NkSibSmt77ZoikjqHV1BYDtuOinqeWrqTl9fuo7ohTMDn4Yihg7jkmFHMGVvQI5UfREQkfS3dXoHf2/t/+6Mxx/v7ajhi6KBev7aI9C4lAClSH4py9/NreXX9PhyQE4jXZI45x9JtFby3tYLCYIDbPzZDf4xFRAaQdXuqyerF4T/NDFixo4pzZg7v9WuLSO/SEKAUaAhHufmRpbyybh/52X4GBwNk+L14PYbf6yEv209B0E9VQ5ivPrSElTsrUx2yiIj0gljMUVEXxpeC3l+/18NuVQISGRCUAKTAr+ZvZM2uagqDfjwdjPEclOnDY/Cdf66guiHcixGKiEgqRGIOM+vV8f/NzCAU0YJgIgOBEoBeVlkX5rmVu8nP9if0Bz6Y4aM2FOHlNft6IToREUkln8dwzuGc6/VrOwcBX+8PPRKR3qcEoJe9uHo3Mee6NLk30+/l4YXbUvIfgoiI9B6Px8jL8hOJ9f7f+3A0xrDczF6/roj0PiUAveyt98vwd3FZ9yy/h33VjZTWhHooKhERSRdThg2iPtT7Q3EcMHNkbq9fV0R6nxKAXlbTEKGL7X/MDI+HlPyHICIivWvWqHzC0d7vAfB6jAlFOb1+XRHpfUoAell2wEusGwstxhxkBvRxiYj0d8eMLcBj1qvDPhsjMTJ9XsYPCfbaNUUkddSi7GUl4woIdXGp9fpwlPwsP4ODGT0UlYiIpIvJxTmMGZxFbS/2+tY2RLho9sguD1EVkb5Jv+m97OwZwzAzYl2Y4FUfinJ5ySitCiwiMgCYGVeWjCYUjvVKL0A05jCDj84c1uPXEpH0oASglw3OyWDu5CFU1IeJufgfXjr4+14fipLh83LmtKG9F6SIiKTUKVOKGV2YTXVDz/cCVNSFuWj2KIpVAUhkwFAC0Msq68KMHZzN3qpGlmwtZ/n2SpZur2RTaS01DZFWx9aFIjREYsy7cDr52YEURSwiIr3N7/XwrXOnEY3FiHRx2GhXVDeEGZqbwbUnjuuxa4hI+vGlOoCBwjnHY0t28NtX3ifqHKMKs9hd2UBtYwRwVNaHqawLk+n3MLTpLkxWwMcPLpnO7DEFqQ1eRER63aTiHD714XHc/8YmCrMDeJI8DLQhHCUag2+fO51MvxYAExlIlAD0kr++s5X739hMXpbvwCSriUVB6sNRSqtDVNaHieKoC8fYU9XIdy+YznlHDtcfZRGRAewTx41hf02IJ5bupCDbn7S5YPXhKA2hGLdeMI3pI1T7X2SgUQLQCxZtKeeBNzaTn+XD16LCgpmRHfAxZnD8Y2ie7FVZH+HZ5bu5ZPbIlMQrIiLpwcz4r9MnkeHz8I9F28kKeMgOdP+/bucclfURPGbc/rEZnDBhcBKjFZG+QnMAesFf39mCz2utGv9tMTPMjLwsH1vL6li2vbKXIhQRkXRlZnz+lIl87+IjCXi9lNWGujUvoCEcpaw2zOShOfz2U3PU+BcZwJQA9LDt5XUs315Jbmbid2ziiQA8snh7D0YmIiJ9yXHjC7n/2mM5/6gR1IVjlNWGqG2MEOugVGgkGqOyPkx5XQi/18N/nT6Jn1w5m1EF2b0YuYikGw0B6mFLtlXgXLxR3xW5mT4WvL8f51yXXysiIv3ToEw/Xz5jMp85aTzz1+zlyeW72FxaS/P/Es2pgAExIOA1jh6dz0VHj2TO2IJOe6JFZGBQAtDDqhs6vjvTHo/HcA4awjGyApoILCIiH8jJ8HH+rBGcP2sEkWiMbeX17KyopzESjc8v83sZOzjI0NwM3UQSkUMoAehhGb7u3W1xzuGcw+/VH24REWmfz+th/JAg44cEUx2KiPQRadMXaGY/NrM1ZrbMzP5pZvmpjikZRuZndavLtSEcY2huprprRURERCSp0ql1+QIw0zl3FLAO+FaK40mKOWMLyMnw0Rju2nLu9eEol5eM7qGoRERERGSgSpsEwDn3vHMu0vR0ATAqlfEki8/r4ZJjRlLVkHgCEIrE8HqM06cV92BkIiIiIjIQpU0CcJDPAM+kOohkuejokYwbnE1ZbajTYyPRGNUNEb502iRyM/29EJ2IiIiIDCS9mgCY2YtmtqKNx8daHPPfQAT4Swfnud7MFprZwn379vVG6IclmOHjh5cdxejCbEprQjS0MRwo5hyVdWGqGiJ8bu4EzjtqRAoiFREREZH+zlw3SlT2FDP7NPAF4AznXF0irykpKXELFy7s2cCSpLYxwhNLdvLI4u1UN4aJxhzOgadp4a9jxhTwH8eNYdbo/FSHKiIiIiIHMbNFzrmSVMdxuNKmDKiZnQPcApySaOO/rwlm+PiP48dweckoFm+tYGdFPaFIlJxMP7PH5DM8LyvVIYqIiIhIP5c2CQDwCyADeKFp0ZIFzrkvpDaknuHzejhufGGqw+g3zjzzTEaNGsUDDzyQ6lBERERE0l7aJADOuUmpjkG6LhQKEQgEUnLtcDiMz5fcH+FUvh8RERGR3pCuVYAkTZ166ql89rOf5bvf/S7Dhw9n5MiRbNiwgUsvvZT8/HwKCgo466yzWL58+YHXPPDAA/h8Pl588UVmzJhBZmYmxx13HIsXL2517qeffpo5c+aQkZFBcXExN9xwA7W1tQf2X3PNNZx55pn8/Oc/Z9y4cWRkZHD55Zfz0ksv8cc//hEzw8yYP38+AHv27OGaa66hqKiIQYMGceKJJ/Lqq68eON/8+fMxM5566ilOOukkMjMz+e1vf9uz30ARERGRFFMCIF328MMPs2/fPl566SX+8Y9/cNJJJ1FcXMxrr73GggULmDJlCqeeeiotKzTFYjFuvvlm7r33Xt555x2Ki4s577zzqKuLT/dYtmwZF154IXPnzmXJkiX88Y9/5Mknn+QLX2g9Cuydd97h3//+N4899hhLly7l97//PSeffDJXXHEFu3btYteuXXz4wx+mvr6e0047jerqap555hnee+89zj33XD7ykY+wevXqVue86aabuPnmm1m9ejUXXXRRj3//RERERFLKOdenH3PmzHHSe0455RQ3efJkF41GnXPO3Xbbbe74449vdUwsFnMTJkxw99xzj3POufvvv98B7sUXXzxwTFlZmQsGg+53v/udc865T37yk+7YY49tdZ7HHnvMmZnbvHmzc865T3/60y4vL89VV1e3Ou6MM85wn/70p1ttu//++93IkSNdOBxutf20005zN954o3POuZdfftkB7k9/+lPXvxEiIiIy4AALXRq0fw/3kTZzAKTvmDNnDh5PvPPo3XffZdGiReTk5LQ6pr6+nvXr17fa9qEPfejA1wUFBUybNo1Vq1YBsHLlSk4//fRWx59yyik451i1ahVjx44FYNq0aYdcqy3vvvsuu3fvJj8/v9X2xsZGsrJaV1s67rjjOj2fiIiISH+hBEC6LBgMHvg6Fotxxhln8Itf/OKQ4/Ly8jo8jztoDYqm6k+HaLm95bU7EovFmDZtGv/85z8P2Zednd3qeaLnFBEREekPlADIYSkpKeGBBx5g5MiRh9xZP9iCBQsO3OWvqKhgzZo1fP7znwdgxowZvPLKK62Of+WVVzAzpk+f3uF5A4EA0Wjr1ZVLSkr405/+RG5uLsXFxV19WyIiIiL9liYBy2H50pe+RDQa5aKLLuK1115j8+bNvP766/z3f/83b7755oHjzIybb76ZV199leXLl/OpT32KYDDIJz7xCQC+8Y1vsHjxYr72ta+xZs0ann32Wf7rv/6Lq666ijFjxnQYw/jx41m0aBEbN26ktLSUcDjMVVddxfjx4znvvPN4/vnn2bx5M2+//TZ33XUXjz32WE9+S0RERETSmhIAOSxDhw7lrbfeYsiQIVxyySVMmTKFq666ii1btjB8+PADx3k8Hr7//e/z+c9/npKSEnbt2sVTTz11YPjNUUcdxRNPPMErr7zCrFmzuPrqqznvvPP49a9/3WkMN910E0OGDGHWrFkUFRXxxhtvkJmZySuvvEJJSQnXXnstRxxxBJdccgnvvPPOgfkEIiIiIgORHTwOu68pKSlxCxcuTHUY0oEHHniA6667jkgkkupQRERERLrNzBY550pSHcfhUg+AiIiIiMgAogRARERERGQAUQIgPcY5R2V9mHMv+Tj7KusOKfspIiIiIr1PZUAlqSLRGO9uLufp5btYsaOS2lAEjxnOQcBnHDF0EGfPGMbJk4vICnhTHa6IiIjIgKMEQJJm8dZyfvTsGsprQ5gZwQwvBdn+Awt5RWIx1uyuYsWOSn7x7w3ccNpEzp4xrN0FwEREREQk+ZQAyGGLxhz3zt/AE0t2kun3UBAMtHmcz+NhUGZ81FljJMrdz6/jlXX7+O7508kO6EdRREREpDdoDoAcFuccdz+/lseX7KQg208wI7GGfIbPS2HQz6It5dzyyDLqQ9HOXyQiIiIih00JgByWfy3dyQur9lAY9OPxdG0oj5lRkO1nza5qfv3Kxh6KUERERERaUgIg3ba7soFfv/I+gzJ9eLo5jr85CXhmxS7e21qe5AhFRERE5GBKAKTbHlm8nXA0RsB3eD9GHo/h8xj3v7E5OYGJiIiISLuUAEi31IeiPLN8F7lZyZm8OyjTx5rdVWzdX5eU84mIiIhI25QASLds3FdDzIHfm5wfoeZSoMt3VCblfCIiIiLSNiUA0i3v76shHI0l9ZxmsGx7RVLPKSIiIiKtKQGQbtld1ZD0cwa8HvZWNyb9vCIiIiLyASUA0j2uh07reujEIiIiIgIoAZBuKhqUkfRzhqOuR84rIiIiIh9QAiDdMqEoB5+3e7X/2xONOY4cmZfUc4qIiIhIa0oApFsmD83BgEiSJgI75/AYzFACICIiItKjlABIt2QHfJw1fRhVDZGknK+mMcr4ohwmDAkm5XwiIiIi0jYlANJtl5WMwmN22OVAY84RisT4zInjD6wHICIiIiI9QwmAdNuogmw+c+J4KuvD3a7e45yjvDbMaVOLOW58YZIjFBEREZGDKQGQw3LpnFGcNKmI/bVhYl1MApxzVNSFGTc4yJfPmNxDEYqIiIhIS0oA5LB4PcZ/nzeN06cWU14bpj4UTeh14WiMstowRwwbxP9eMYucDF8PRyoiIiIiAGp1yWHzez1866NTOWnSYO55YT3ltSF8Xg/ZAS9ezwdj+mPO0RCO0hCO4fN4uH7uBC6ePRKfV3moiIiISG9RAiBJYWbMPaKY48YP5s2NpTy2ZCfr91TjHHgMnIOYg9GFWZx35HBOnzaUvCx/qsMWERERGXCUAEhSZfq9nD51KKdPHUo05thb3dB0x98YmptJwKe7/SIiIiKppARAeozXYwzPy0p1GCIiIiLSgm7HioiIiIgMIEoAREREREQGECUAIiIiIiIDiBIAEREREZEBRAmAiIiIiMgAogRARERERGQAUQIgIiIiIjKAmHMu1TEcFjPbB2xJdRwD1BCgNNVBSK/R5z2w6PMeWPR5Dzz6zLtnrHOuKNVBHK4+nwBI6pjZQudcSarjkN6hz3tg0ec9sOjzHnj0mQ9sGgIkIiIiIjKAKAEQERERERlAlADI4fhtqgOQXqXPe2DR5z2w6PMeePSZD2CaAyAiIiIiMoCoB0BEREREZABRAiCHMLNzzGytmW0ws2+2sd/M7GdN+5eZ2TEt9m02s+VmtsTMFvZu5NIdCXzeU83sLTNrNLOvd+W1kp4O8zPX73gfk8DnfVXT3/JlZvammc1K9LWSfg7z89bv9wChIUDSipl5gXXAR4DtwLvAfzjnVrU45lzgv4BzgeOBnzrnjm/atxkocc6ptnAfkODnXQyMBS4Cyp1z/5voayX9HM5n3rRvM/od7zMS/Lw/DKx2zpWb2UeBec654/U73vcczufdtG8z+v0eENQDIAc7DtjgnHvfORcC/gZ87KBjPgb8ycUtAPLNbHhvBypJ0enn7Zzb65x7Fwh39bWSlg7nM5e+J5HP+03nXHnT0wXAqERfK2nncD5vGUCUAMjBRgLbWjzf3rQt0WMc8LyZLTKz63ssSkmWRD7vnnitpM7hfm76He9buvp5fxZ4ppuvldQ7nM8b9Ps9YPhSHYCkHWtj28HjxDo65kTn3M6mIQQvmNka59yrSY1QkimRz7snXiupc7ifm37H+5aEP28zO414g/Ckrr5W0sbhfN6g3+8BQz0AcrDtwOgWz0cBOxM9xjnX/O9e4J/EuyMlfSXyeffEayV1Dutz0+94n5PQ521mRwH3AR9zzu3vymslrRzO563f7wFECYAc7F1gspmNN7MA8HHgiYOOeQL4VFM1oBOASufcLjMLmtkgADMLAmcBK3ozeOmyRD7vnnitpE63Pzf9jvdJnX7eZjYGeBS42jm3riuvlbTT7c9bv98Di4YASSvOuYiZfQl4DvACf3DOrTSzLzTt/zXwNPEKQBvg/7d3/yF7lXUcx9+ftppDXLatWUQ/IAWxhuBaPwbOiAjDYEWOfpAwtUIY5kjIH6EuiCiibELOP5LBlkVzIs0QRzOrsZpQI8jIYWWsYmmNNue2/MG+/XGdJ06ne+1Zz7PNcb9fcDj3Oed7Xc917vM8z32+57rOuTkEXNkVPwe4Pwm0363vVNVDJ3kXdBwmc7yTvAb4BTAHOJJkFXBBVT0zquwp2RFN2lSOOTAf/8ZPK5P8n34rMA+4szu2L1bV245W9pTsiCZlKscbP8PHio8BlSRJksaIQ4AkSZKkMWICIEmSJI0REwBJkiRpjJgASJIkSWPEBECSJEkaIyYAkjRFSVYkqSTnjtg2s9u2+hh1vKmL++QJa6gkSZgASJIkSWPFBECSdFySzDrVbZAk/f9MACTpNJLkkiQPJzmQ5GCSLUne2tt+Z5KnkswclJuV5B9JvtFbNz/J2iR/SfJckseTfHpQbmJ409Ik9ybZBzzabVucZFOSPyc5nGRXki8lmT2oY0aSLybZk+RQkh8lOX/U0KgkFybZ3LX1cJLtSS6ervdPkmQCIEnTaUY35v/fEzBjuipPchnwMPAs8Ang48BZwLYkr+/C1gMLgPcNin8AOBvY0NU1B9gOXAas7uYPAGuTXDvix98DPAlcDtzYrXsD8CvgGuBSYA1wFbBuUPYLwM1d25YBW4DNI/bvIuBnwFzgU8CHgb3A1iSLRr8rkqTjNfPYIZKkSXr8BNe/BvhJVS2bWJHkEeAPwPXAqqrakeQJ4ArgwV7ZK4DfVtUvu+XrgDcCC6vqiW7d1iRnA7clWVtVL/bKb6qqz/UbU1X39doRWkLxDLA+ycqq2pvkVcAq4K6quqEL/2GSF4CvDfbvq8Bu4D1V9XxX7xbgMeAW4IOTeZMkSf+bPQCSNH0+BCweTO+cjoqTnAe8Gbhn0MNwCPg5sLQX/m1gWZKzurJzgffTrsBPuJQ2lOfJQX1bgHnABYMm3D+iTXOSfCXJ74HngBdoPQwBzuvCFgJnAvcOim8a1DUbuKSLO9JrT4Ctg/2TJE2BPQCSNH0eq6rf9VcMx+JPwYJufnc3De3uvd5AG9ZzOW04zkeBl9OG8fTrO5d20j7KvMHynhEx64D3ArfShgIdBN4OfBM4o4t5bTd/elD2qcHyXNpwqVu66b8keVlVHTlKeyVJk2QCIEmnh73d/CbaFfGh5ydeVNWTSbbT7hNY181/XFV/GtT3NG0o0Ci7BsvVX0hyBm08/+qqWtNbv3BQbiJxWAD8prf+nEHcPuAILXlYzwie/EvS9DABkKTTwy7gj8BbqurLk4jfQLuh993Au4ArB9sfAq4FdlfV8Or8ZMyiXbEf9iCsGCz/mtYzsBx4pLd+eT+oqg4m2QZcCOz0ZF+SThwTAEl6aVnUPWpzaDOwEvh+klcAG4G/066kL6GdyH+9F78RuIN2P8Bh4L7/rI7bgY/QniB0Oy3BOBM4H7i4f6PxKFW1P8kO4Poke7q2XAW8bhA38ejRm5McoPVeXARc3YX0T/Q/C/wU2JLkblrvwfwufkZV3YgkacpMACTppeWabhp6dVU9mGQp8HngW8Bs4K/ADuB7/eCq2pfkAdp9AN+tqgOD7fuTLKGN37+BduK+j5YIDJOFo/kYsJY2bOcwLem4DvjBIO422s28VwOfod18vIL21KD9vTbtTLK4i78DeCXwN2AncNck2yRJOoZU1bGjJEmaRkmW0xKGpVW17VS3R5LGiQmAJOmESvIO2heNPQr8E1hE+zKxXcCS8oNIkk4qhwBJkk60Z2nP8V8JzKE9fWgjcJMn/5J08tkDIEmSJI0RvwlYkiRJGiMmAJIkSdIYMQGQJEmSxogJgCRJkjRGTAAkSZKkMWICIEmSJI2RfwHsENe7mfFxHwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "fig = sm.graphics.influence_plot(prestige_model, ax=ax, criterion=\"cooks\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see there are a few worrisome observations. Both contractor and reporter have low leverage but a large residual. <br />\n",
    "RR.engineer has small residual and large leverage. Conductor and minister have both high leverage and large residuals, and, <br />\n",
    "therefore, large influence."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Partial Regression Plots (Duncan)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we are doing multivariate regressions, we cannot just look at individual bivariate plots to discern relationships. <br />\n",
    "Instead, we want to look at the relationship of the dependent variable and independent variables conditional on the other <br />\n",
    "independent variables. We can do this through using partial regression plots, otherwise known as added variable plots. <br />\n",
    "\n",
    "In a partial regression plot, to discern the relationship between the response variable and the $k$-th variable, we compute <br />\n",
    "the residuals by regressing the response variable versus the independent variables excluding $X_k$. We can denote this by <br />\n",
    "$X_{\\sim k}$. We then compute the residuals by regressing $X_k$ on $X_{\\sim k}$. The partial regression plot is the plot <br />\n",
    "of the former versus the latter residuals. <br />\n",
    "\n",
    "The notable points of this plot are that the fitted line has slope $\\beta_k$ and intercept zero. The residuals of this plot <br />\n",
    "are the same as those of the least squares fit of the original model with full $X$. You can discern the effects of the <br />\n",
    "individual data values on the estimation of a coefficient easily. If obs_labels is True, then these points are annotated <br />\n",
    "with their observation label. You can also see the violation of underlying assumptions such as homoskedasticity and <br />\n",
    "linearity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress(\"prestige\", \"income\", [\"income\", \"education\"], data=prestige, ax=ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x1008 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fix, ax = plt.subplots(figsize=(12,14))\n",
    "fig = sm.graphics.plot_partregress(\"prestige\", \"income\", [\"education\"], data=prestige, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the partial regression plot confirms the influence of conductor, minister, and RR.engineer on the partial relationship between income and prestige. The cases greatly decrease the effect of income on prestige. Dropping these cases confirms this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:               prestige   R-squared:                       0.876\n",
      "Model:                            OLS   Adj. R-squared:                  0.870\n",
      "Method:                 Least Squares   F-statistic:                     138.1\n",
      "Date:                Sun, 16 Aug 2020   Prob (F-statistic):           2.02e-18\n",
      "Time:                        18:00:44   Log-Likelihood:                -160.59\n",
      "No. Observations:                  42   AIC:                             327.2\n",
      "Df Residuals:                      39   BIC:                             332.4\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept     -6.3174      3.680     -1.717      0.094     -13.760       1.125\n",
      "income         0.9307      0.154      6.053      0.000       0.620       1.242\n",
      "education      0.2846      0.121      2.345      0.024       0.039       0.530\n",
      "==============================================================================\n",
      "Omnibus:                        3.811   Durbin-Watson:                   1.468\n",
      "Prob(Omnibus):                  0.149   Jarque-Bera (JB):                2.802\n",
      "Skew:                          -0.614   Prob(JB):                        0.246\n",
      "Kurtosis:                       3.303   Cond. No.                         158.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "subset = ~prestige.index.isin([\"conductor\", \"RR.engineer\", \"minister\"])\n",
    "prestige_model2 = ols(\"prestige ~ income + education\", data=prestige, subset=subset).fit()\n",
    "print(prestige_model2.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For a quick check of all the regressors, you can use plot_partregress_grid. These plots will not label the <br />\n",
    "points, but you can use them to identify problems and then use plot_partregress to get more information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress_grid(prestige_model, fig=fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Component-Component plus Residual (CCPR) Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The CCPR plot provides a way to judge the effect of one regressor on the <br />\n",
    "response variable by taking into account the effects of the other  <br />\n",
    "independent variables. The partial residuals plot is defined as  <br />\n",
    "$\\text{Residuals} + B_iX_i \\text{ }\\text{ }$   versus $X_i$. The component adds $B_iX_i$ versus  <br />\n",
    "$X_i$ to show where the fitted line would lie. Care should be taken if $X_i$  <br />\n",
    "is highly correlated with any of the other independent variables. If this  <br />\n",
    "is the case, the variance evident in the plot will be an underestimate of  <br />\n",
    "the true variance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig = sm.graphics.plot_ccpr(prestige_model, \"education\", ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the relationship between the variation in prestige explained by education conditional on income seems to be linear, though you can see there are some observations that are exerting considerable influence on the relationship. We can quickly look at more than one variable by using plot_ccpr_grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 8))\n",
    "fig = sm.graphics.plot_ccpr_grid(prestige_model, fig=fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Single Variable Regression Diagnostics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot_regress_exog function is a convenience function that gives a 2x2 plot containing the dependent variable and fitted values with confidence intervals vs. the independent variable chosen, the residuals of the model vs. the chosen independent variable, a partial regression plot, and a CCPR plot. This function can be used for quickly checking modeling assumptions with respect to a single regressor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "fig = sm.graphics.plot_regress_exog(prestige_model, \"education\", fig=fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fit Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot_fit function plots the fitted values versus a chosen independent variable. It includes prediction confidence intervals and optionally plots the true dependent variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig = sm.graphics.plot_fit(prestige_model, \"education\", ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Statewide Crime 2009 Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare the following to http://www.ats.ucla.edu/stat/stata/webbooks/reg/chapter4/statareg_self_assessment_answers4.htm\n",
    "\n",
    "Though the data here is not the same as in that example. You could run that example by uncommenting the necessary cells below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#dta = pd.read_csv(\"http://www.stat.ufl.edu/~aa/social/csv_files/statewide-crime-2.csv\")\n",
    "#dta = dta.set_index(\"State\", inplace=True).dropna()\n",
    "#dta.rename(columns={\"VR\" : \"crime\",\n",
    "#                    \"MR\" : \"murder\",\n",
    "#                    \"M\"  : \"pctmetro\",\n",
    "#                    \"W\"  : \"pctwhite\",\n",
    "#                    \"H\"  : \"pcths\",\n",
    "#                    \"P\"  : \"poverty\",\n",
    "#                    \"S\"  : \"single\"\n",
    "#                    }, inplace=True)\n",
    "#\n",
    "#crime_model = ols(\"murder ~ pctmetro + poverty + pcths + single\", data=dta).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "dta = sm.datasets.statecrime.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                 murder   R-squared:                       0.813\n",
      "Model:                            OLS   Adj. R-squared:                  0.797\n",
      "Method:                 Least Squares   F-statistic:                     50.08\n",
      "Date:                Sun, 16 Aug 2020   Prob (F-statistic):           3.42e-16\n",
      "Time:                        18:00:44   Log-Likelihood:                -95.050\n",
      "No. Observations:                  51   AIC:                             200.1\n",
      "Df Residuals:                      46   BIC:                             209.8\n",
      "Df Model:                           4                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept    -44.1024     12.086     -3.649      0.001     -68.430     -19.774\n",
      "urban          0.0109      0.015      0.707      0.483      -0.020       0.042\n",
      "poverty        0.4121      0.140      2.939      0.005       0.130       0.694\n",
      "hs_grad        0.3059      0.117      2.611      0.012       0.070       0.542\n",
      "single         0.6374      0.070      9.065      0.000       0.496       0.779\n",
      "==============================================================================\n",
      "Omnibus:                        1.618   Durbin-Watson:                   2.507\n",
      "Prob(Omnibus):                  0.445   Jarque-Bera (JB):                0.831\n",
      "Skew:                          -0.220   Prob(JB):                        0.660\n",
      "Kurtosis:                       3.445   Cond. No.                     5.80e+03\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
      "[2] The condition number is large, 5.8e+03. This might indicate that there are\n",
      "strong multicollinearity or other numerical problems.\n"
     ]
    }
   ],
   "source": [
    "crime_model = ols(\"murder ~ urban + poverty + hs_grad + single\", data=dta).fit()\n",
    "print(crime_model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Partial Regression Plots (Crime Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VYzuVLbpwlmSEuVJBVQrSlVx2tHZXIni1uy+Os7038EV3/1pGowmp7uZ1tZUZxs7rMjMmT57cIemaOXMmI0eODOowRHIiV72oqdLFY2FSO5U5Yb5wlvAIa6WCqhSkO7nsaO2uRPAGM/t74BPuvgnAzC4GvgM8nNFI8ozmdYnkF108Fiy1UxkS1gvnMCvGEZOwViqoSkG6k8uO1u5KBOea2bXAH83sN8CJwHDgGndfnfFo8lxX87pWrVrVnnR1Na+rLenSvC6RzNLFY2FSO5U5Yb1wDqtiHjEJY6WCqhSkO7nsaE1mmfbfAycA/ww0AHPcfV3GIylgFRUVnHPOOZxzzjnt2w4ePMgLL7zQIemKndfVu3fv9vt1tSVfmtcl0nO6eCxoaqcyJIwXzmGlEZNwUZWCdCeXHa3dzcE6E/gh8BQwDjgbuN/M7ga+4e6HMh5Rkejbty+zZs1i1qxZ7ds6z+uqq6vjvvvu42c/+xlwZF5XbNKleV0iydPFY+FROyVB0YhJuKhKQbqTy45Wc/fET5qtIFLX/kzMtn7AV4Er3X1axiPqwqxZs3zFihW5/MjAxc7rip3btWnTpvZ9Ro8efdRiGhMnTtS8LhHJW2a20t1nJbFfqNopKM62qhjNvv2xuCMmlRXlPHXjnAAikmKcEyfBStRWdZdglbh7a4LnjnP3lzMYY7fUaB3RNq8rNul66aWX2ud1DRo0iJNPPlnzukQkL6WQYIWqnQK1VcWi8xwsiIyY3DZ/elFf1HeV5CgBkkKTqK3qbpGLuI1W9LmcN1pyRLrzutqSLs3rEpF8pnZKgpLJcqNCSTy6WvgDKNpFQaT4dDmClfUPNxsH/BIYBbQCd7r79xLtr17B1LW0tPDqq692SLrq6up48803gY7zumLndmlelxSrQrnQyXfJjmCFkdoqSUWqI2FhPkd1VTYJqKRSCk6PRrByoBn4nLs/Z2YDgZVm9qi7vxRwXAWjtLSUadOmMW3atLj362r7evbZZ/n973/f/rrRo0cftZiG5nVJruX6QqKYl10WkWCkshph2M9RPVn4Q4uCSCEKNMFy99eA16Lf7zWzl4FKQAlWFnV3v67YBTWWLVuWcF7XzJkzOe644zSvS7IiiAsJLbssIrmWSlIS9nNUd0ulaxn1whfmEdZc6m6Z9k1AVzWEFn3+u+7+/XQCMbMJwEzg6XTeR3quq3ldsYtpdDWva+bMmZx00kma1yVpC+JCQssu559ctlNS2IK6MEzl/k1hP0d1t1S6llEvbGEfYc2l7ha5mJiLIMxsALAY+Iy7v9PpuRuAGwDGjx+fi3AkRqL7dXWe15Xofl2a1yU9FcSFhG5UmX9y1U5JYQvywjCV+zeF/RyVzMIf2UpiNXISvLCPsOZS0HOwMLMyIsnVXe6+pPPz7n4ncCdEJg7nODyJI9G8rvr6+g5J1zPPPBN3Xlds0lVVVYWZBXUoOaWTf2qCuJDQjSpFilOQF4aprEaYD+eorm7onq2bvWvkJBzCPsKaDHfn4MGDHDhwoP2rsbEx4eNEAk2wLHJl/VPgZXf/dpCxSHrMjLFjxzJ27Ngu53XV1dUdNa9rxowZHRbTOP744ykrKwvqULJCJ/8jkk00g7iQyOVd3kUkPIK+MEw28dA5Kj6NnIRDNjtGW1pa2hObrhKedB83Nmbmbz7oEazZwPXAGjNbFd32JXd/KLiQJJO6m9fVNreru3ldJ598MgMGDAjoKNJXSCf/dEbiUkk0g7qQyFYPq4iEV9hL72IV2jkqE9UdQSfIxaypqak9Mbn+hL5864F1NDYewJsP402H6OVNnHbycO68c31aSc+hQ4d6FF95eTn9+vVr/4p9PGzYsC6f7+5xeXl5wukv3SZYZlYK3O7uC3t0ZF1w9yeJTECWItLVvK7YxTS6mtfVVmaYL/O6Uj35h7WcMN2RuFQTzUK7kJDsyGY7JcUh6NK7sJ7z09XdcWWquiPbCXK+/X7cncOHD2dtlCf2cXNzc7fxfG9xx8clJSUJk5bBgwczevToHiU8nR/37ds3sGko3SZY7t5iZqeamXmQdyWWghY7r+vaa68Fjszrik268nVeVyon/2QanKBO9umOxKmXUbJB7ZSkK8jSu0ItIU/muDJV3ZHNBDmTv5/W1tYO83uyWerWk1NhWVlZ3KRlf0sJ9XuNwwymf8UYZs4cwfHjh/c4CSorKwvddVqmJVsiWAfca2aLgP1tG+MtSiGSKbHzui6//PL27Xv27GH16tXdzuuKTbqSmdeVzaQllZN/dw1OkI1xuglSPpXhSN7JWjtlZhcB3wNKgZ+4++3pvqeET1Aj5rkqIc91x1wyx5WpTrd0E+SWlpaEpWlf+p+/8lbDO7Q2HWove3u7+RD/+Ne7eOqUUSklQAcPHkzpuNr07ds3YdJSUVFBv3792NXovLTzEKWtpVQO6M85J4xl1uRRSSdA5eXlca+T2q45Bsf8LreWlfIP86fndQdAtiWbYA0F3gLmxGxzQAmW5NyQIUOOmtfV2NjIiy++yM/ufYwljz7F0+vX8uTffkRrU+Rk1rt3b0488cQOi2nEzuvKdtKSysm/uwYnyPlciRKkEjOW1tV3+/nZLsPJtzIOyaistFPR8sP/BC4AtgPPmtl97v5SOu8r0iYXI/tBdMwlc1xddbq5O01NTSmN2lzScoDGXo0c2HmAh3/0e5YkOepz+PDhlI+vAfjh8vhJy4ABAxg+fHhKozqJHpeXl1NSUtJlLG2/375NLfSNbltRVsrVZ6WfBBXSHPJcSirBcvePZDsQkXSUl5ezvXQ0f+Yk+p5zAqMAb22hdO8bXDX+MKV7trBq1aqj5nVNmTKFGTNmsPztQRwcNI7eIydR2r8CSP8EEu9i/6kb53T7uu5GeYIss4uXIAG0uCfVWGezDKerC4hsfaaERxbbqdOB9e6+EcDMfgdcCSjBkozIxch+Ji+S3Z1Dhw51uSDBgQMH6LVhBbvf3oc3H4qO/hzCmw7Rr6SV6677bWTf13ezs/4tWg5HnmttPgTNh9lJE2VfbmyvTElFSUkJ/fv3j5u0DBkyhMrKyqQXMOjXrx//XPsSbx4C69Un8lXWh5KyPlQeM4i/3nReyvFlQzaTIJX290xSCZaZVQP/BYx09xPN7CTgCnf/elajE0lB5xOMlZTSOngMy62cp771SaDjvK62uV3PPPMMWzdvbn9d6YCh9B5RRdnISRwYWcWGDcemPK8rnd7C7kZ5giyza4v9c79fTUun+u5kT+bZKsNJ1MDcev+LHGxqLbj5DdJRFtupSmBbzOPtwLvSfE+Rdpka2W9tbU24jPWGur/SGk1w2pOd5kM0NB3iC7sfTnlFtx5NdSztRUmvPvQaOIDluwe0JzGTRgxk+97+HKYX/fv1Y2bVSE6Izu/pyahPpuf3/MvQaXF/P1+4aFrGPiNd2UyCVNrfM8mWCP4YWAj8CMDdnzez3wBKsCQ0kjnBJJrX9a6v3suWdS9xeOdGDr+xgcNvbKRx03PgrUxeelvK87rS6U3qbpQn6NWu5s2s5J/vXhX3uSB7tBJ99p4DTUdtU3lDQcpWOxXvSu2oq0szuwG4AWD8+PFpfqQUkubm5i6TltYDB5jbZzsPvLiFPe/sZUCvVqaPG8CTd/2RR36c/OIGPZ3f8x8r+yZMWoYOHZrWKm6Pr2/gv5/azuv7W6kcOiDr1QPZKBPPh3uPZTMJCvqaI18lm2D1c/dnOvUIdL8uo0gOpXOCuWneLG5a0ofGY09q39aHZv7v9DIGHzgy4vXjH/+4w/26TjzxxA5JV9u8rnR7k7oa5QnDyT6MPVqJYkpE5Q0FJ1vt1HZgXMzjscCOzju5+53AnQCzZs3SSoYh1za/JxfLWDc1Hd3J05XdwDazhAnMwIEDGTlyZEoJz4rt+7nzr9s5TBlW1hvr1Yd+/fpx24JTmX/quG5j6qkPT4APnz8ja+8fK5vzzMJ+y5BsJUFtCWtjUwulZrS4UxnCBDOMkk2w3jSzSUR77cysBngta1GJ9EA6J5hkk5bY+3W1fS1dupSf/vSnwJF5XXv7jqFlyLH0HlHVYV5XphKQoE/2YezRShRTn14lNDQefYGj8oaCk6126llgiplNBOqB9wMfyMD7ShzunrVlrDs/19ramnJ8JaWlDOjfP24SM3ToUMaOHZv2vXvKy8vp06dPRsvcLgCOm1HYiwAV82IM8a5hzp02nDuWreWf717Vo99354S1xb29nS/0n2cmWDJ1tGZWRaRn7j3AHmATcJ27b85qdJ3MmjXLV6xYkcuPlDwTxCpyned11dXV8ddnVrJzx5FpG6UDhtJ31CQuPvvdvP/is5g5cyYTJ07M6/tAJPpZL62r55b7XmxPaob0K+Orl5+Qs/vJdI4JiJt43aYlZkPNzFa6+6zu92zfP2vtlJldAnyXyDLtP3P3b3S1fyG2VS0tLTQ2Nmb1vj1tj3uiT58+SS1YkMrjv23Zy/f/d2vHUZ++fQr+3JGvq7FOuPHBhM9tvv3SHEYSvM7JEaTe7s2+/bG4VSGVFeVJLdhVLBK1VUklWDFv0h8ocfe9mQwuWYXYaEnh+vX/vsjtv36YHRteplfDVsr3bqV+0/q49+tqKzNM5n5dYba0rp6Fi1bT1NrxvFJWatxRc3JgjXS+XjC0yff4eyLVBCvmdYG2U5DbtirVZax7+vjQoUM9ii/dJCfZZaxLS0sz/JMtzgvMTFyYB2FpXT3/fPeqoydHEplE+Z1rZoQ6/kzLxP/diTc+mPDnuanIEtauJGqruiwRNLPPJtgOgLt/OyPRiRSg684+gevOPqHDtsbGRl544QVWrVrV7byutqQr9n5dYXfHsrVHJVcATS0eaJlG0CWV6QjyxtL5IKztVOwy1tlMgJqbU59mVlJSkjBpGTx4MKNHj85IAtS3b9+8HqUvxuWp87XM7o5la+MmAxCpGQ57/JmWif+7YZxrnU+6m4M1MPrvVOA04L7o48uBJ7IVlEihKi8v57TTTuO0005r35bsvK7YxTRmzpzJiBEjehRDNkdDujp5F/JFSTbl6wVPDoWunVq5ciV9+/btfsdOysrKEiYtw4YNy9ioT+/evfM68cmVQrzA7O78n69JZXfxhT3+TMvE/90wzrXOJ10mWO5+K4CZPQKc0lZyYWa3AIuyHp1IESgtLWXatGlMmzaNa6+9Fog/r+vpp5/m7rvvbn/dmDFjjkq6Es3ramtU6xsaMY6sMZ3p0ZCuVvLL54uSIOXrBU+uhLGdGj16NP/4j/+YcplbPpcHF6IwXWBmomMsmdHwXCWVme7o624V2WJrfzLxfzcMKxbns2RXERwPHI55fBiYkPFoRARIfL+uPXv2dCgvXLVqFQ8//HDCeV0zZ85k3cFB/L/7X2k/0XYuo8jkaMjCuVMTzsFSr1fPFGIvepaEpp0aM2YMN910UxAfLRkUlgvMTJUJJzManouksifH011CFi/ubMWfDzL1fzefy+uDlmyC9SvgGTO7h8j12VXAL7IWlUgBS6XnLu6+557Lueee275P27yutoSrrq6OO++8s301Listo2zYeHqPnETvkVWUjZhE7xETKOl95AI9U6MhbccR1CqChShMveghp3ZKMi4MF5iZKhNOZjQ8F0llqseTTEIWG3d9Q6Pu2UQ4/u8Ws24TLIvUG/0S+APw3ujmj7h7XTYDEylEqfTcJbtvonld69atY9WqVXz8u7UcfmMjB15dzr7nH4nuYfQaOqb9Pl2jq6axc+dpPZ7XFUsn9Y7SLYUJSy96mKmdkkKWqTLhZEfDs30OT/V4kk3I1PZImHSbYLm7m9lSdz8VeC4HMYkUrFR67tLptSwtLeW4447juOOO4wdbRlLf0Ii707L3LQ7v3MDhNzZy+I0NHNqxlgOv/IWG/4WR/3NjSvO6pHuZKu3RhUPX1E5JIctUmXBYRsNTPR7NQ5V8lGyJ4HIzO83dn810AGZ2EfA9Ijdw/Im7357pzxAJi1Qaikw1KrGNaq9Bw+g1aBj9J78LJ3JPjH9490gqW3fyywce58HH/sojT6/hwT/8AVpbARg8eDAzZszokHQdd9xxeT8hPxf3ltIKgDmVtXZKJEiZSozCMhqe6vFoHqrko2QTrHOBj5nZFmA/kfuMubuflM6Hm1kp8J/ABcB24Fkzu8/dX0rnfUXCKpWGIlONSjKN6tK6Cpb3O0S/uafTD2htOkRJwzYuGX0Qf2szq1at6jCvq/P9umbOnMlJJ52UN/frytW9pdTzmlNZaadEkpHJDpt473Xb/OkZef8wjIanmuiFZeRNJBXJJlgXZ+nzTwfWu/tGADP7HXAloARLClIqDUUmG5XuGtXOIy0lZX1g+GRWDyjnqa9/ETgyryt2MY1E9+uKvVFyJuZ1ZVquRpbU85pT2WqnRLqUyQ6bRO912/zpPHXjnMwGHqBUEr2wjLyJpCLZBCvRDbLTVQlsi3m8HXhXlj5LJHCpNBQ9bVSS7UmN3S/RH3jsSEvsvK4PfOADQOR+Xdu3b++wdPzy5cvj3q8rdm5X0PO6cjWypJ7XnMpWOyXSpUx22KisOL4wjLyJpCLZBOtBIo2XAX2BicBa4IQ0Pz/eFVaHRtLMbgBuABg/fnyaHycSvFR77lJpVJLtSe28XyLdjbSYGePGjWPcuHEd7te1e/duVq9e3eFGybH368rlvK54CWeuRpbU85pT2WqnJAW5mNsYNpnssFFZsUhhSCrBcvfpsY/N7BTgYxn4/O3AuJjHY4EdnT77TuBOgFmzZqmHUqQLyfZ+xtuvs7aRlp5cMA0dOpRzu7hfV9tX7LyuPn36cOKJJ3ZIutKd15Uo4bz61EoWr6zPyciSel5zI4vtlCQpV3MbwyaTHTYqKxYpDMmOYHXg7s+Z2Wnd79mtZ4EpZjYRqAfeD3wgA+8rUpSS7f3sqjfUoD2RAjJ2wdTV/braEq5Vq1YdNa+rurq6Q9I1c+ZMhg8fntRnJko4//zKroxNGpdwymA7lVP5PAJUrOVtmSwFVlmxSGFIKsEys8/GPCwBTgF2pfvh7t5sZp8ClhFZpv1n7v5iuu8rEgZBXCgl2/uZaL/KivIOE6ln3/5YVi+YuprXFbuYRlfzutrmdsWb19VVwqmRpcKSrXYql/J9BKhYy9syWQqssuLwyOfODglesiNYA2O+byZS6744EwG4+0PAQ5l4L5GwCOpCKdnez2T3C+KCKXZe1xVXXNG+fffu3axatarDghrx5nXFLqYxamAZr+1tOuozVG5TkLLWTuVKvo8AFXN5WyY7bNT5E7xct+FK5gpPsnOwbs12ICKFJKgLpWR7P5PdL0wXTE9saeSOZ2BHw1TGnDCDr3/2duZOG3rUvK4f/ehH7fO6ynr3ofSY8fQaPpHeI6soGzGJwZWTWDh3Rs7jl+wqhHYqFx0a2byQU3mbFIpctuH5PnIt8SVbIjgLuBk4NvY1uoGjSHxBlsok2/uZzH5BXTB1vgg8d9rwDotStDdA86czr5t5XY88sZyX1vyNfc8/AsBOM268t5rf9XBel4RTIbRT2e7QyPaFnMrbpFDksg3P95FriS/ZEsG7gIXAGqA1e+GIhF8yPcBhGvlJRxAXTPEuAu9avvWomxwlaoA6z+u6g47zutrmdnWe11VZWXnUYhoTJkwI9H5dkpK8b6ey3aGRiws5lbdJIchlG16scxcLXbIJ1i53vy+rkYjkgWR7gAupVCbXF0zxLgKTuRFyV7qb1xW7oMYf/vAHWlsj1+ex87ra5nZl635dkra8b6ey3aGhCzmR5OSyDS+UDlnpKNkE66tm9hPgT8Chto3uviQrUYmEVLI9wCqV6SiVeR+pXOyl2wANHTqUOXPmMGfOkZUTGxsbWbNmTYfFNGLndbXdryt2MY2TTz6Z/v37pxWLpK0g2qlsdmjoQk4kOblswwupQ1aOSDbB+ggwDSjjSOmFA3nVcImkK5UeYJXKRKQ67yPRRaDRcSQrWw1QeXk5p59+Oqeffnr7tsUrtvL13/yJ7etfonfDVpoO7WDJkiX85Cc/iQZn9BpSScXYKVx8zhlcd+k5ac3r0opSPaJ2qhu6kJNsK6RzVy7b8L5lJe1/lxXlZdxyxQl5+3OTiGQTrJPdfXpWIxHJA+oBTl2q8z4SXQRefWolf35lV84b7qV19Xz53pdo7D2C/sePAOBwWSk/+a8TeeuN17jl5w+yr/5VDu/cyJ7NL/Kr7/+ZX33/NqBn87q0olSPqZ3qhkbWJZt07kpd558ZwKHmvJxCKp0km2AtN7Pj3f2lrEYjEnLqAU5dqvM+Ol8EDi4vwwzuWr6VMRXlfOeaGQkb62z0niZKEP/tkXUA9Jp4GhUTY1YxbNzL4AP1fGQa7XO7uprXNXPmTKZNm9Y+r0srSvWY2qkkaGRdsiVX565CGiXT+b5wJZtgnQl8yMw2EaltN8DzaflbkUxQD3DqejLq13YRmEqPaLZ6T1NNEEvLB7K/fBqf+9yl7dva5nXFLqaRaF7XK1vKKBtRRe8REynp3bfbz5N2aqdEApSr+7gV0iiZFp4pXMkmWBdlNQqRPKIe4NSkM+qXSu9etnoCu0sQk0ke483ram5uZt26dR0W01iyZAm7d++O7mH0GlpJ75FV9B5ZxZiJx7Fr1+m6X1diGW+nzOwO4HLgMLAB+Ii7N2T6c0QKQS5K6AttxEfTDgpXlwmWmQ1w933uvqW7fTIfmogELROlGOmM+iXqxYvXIGWrJ7C7BLGnyWOvXr04/vjjOf744/nABz4ARO7X9dOHV3SY13Wo/mUOvPwEDY/DiP/5IpWVlR1WMCz2+3VluZ16FLjJ3ZvN7JvATcAXexqrSCHLRQl9oY34aNpB4epuBOteM1sF3AusdPf9AGZWBZwLvA/4MVCbzSBFJPcyWYrR01G/rlYUXFpX3+E9s9UTmEyCmKmSUTPj7y8+jWGjxnR4z4+fMYLK1p0dbpT80EMPJT2vq8BlrZ1y90diHi4HatKOVqRA5aKEvtBGfDTtoHCZe6JbeEZ3MLsE+CAwGxgKNAFrgQeBn7r769kOss2sWbN8xYoVufo4kaI2+/bH4jZklRXlPHXjnDivyLyldfX8892r4t5ouHMc8VZjKi8r5bb503vUWIV9InXsvK62pOv555+PO6+r7eukk07K6v26MvkzM7OV7j4ryX2z3k6Z2f3A3e7+6+72VVslkh2ZPs+LpCtRW9XtHCx3fwh4KCtRiUhohaEUY97MSj5z96qk4shkT2A+TKTual5X7GIasffrMjOqq6s7JF0zZszIyLyuIH9m6bRTZvZHYFScp25293uj+9wMNAN3dfE+NwA3AIwfP74noYhINzTiI/mi2xEsAIsU938QmOjuXzOz8cAod38m2wHGUq+gSO6EYQQrqDjCcuyZ4O5s27atw2IadXV1bN26tX2ftnldsXO7Up3XlemfWSojWNH9s9JOmdmHgI8D57n7gWReo7ZKRKQ49HgEK+qHQCswB/gasBdYDJzW1YtEJH+FZfJtEHGkOnoXZDlhd59tZowfP57x48dzxRVXtG9/6623WL16dYekK3ZeV0VFBTNmzOgwt6ureV0hGPHMeDtlZhcRWdTi7GSTKxERkWQTrHe5+ylmVgfg7nvMrHcW4xKRgGWjFKMniUgQJSGpTKQOsjQunc8+5phjmDNnDnPmHBldijevK9H9ujrP6wrB5PNstFM/APoAj0ZH85a7+8fTfE8RESlwySZYTWZWCpG55mY2nEhPYY/p/iIi4ZfJe36lkwzk+t5jqYyaBXlflkx/dnfzutqSrnjzuoZPmMaBpmOwYRPpPbKK0n6Dcz3imfF2yt0nZyIwEREpLskmWN8H7gFGmNk3iCxV++U0P1v3FxEpIvl0g8hURs2CLI3LxWfH3q/rgx/8IHBkXlfsYhp1dXXsipnX1XvQME46eQbP2bvxzZG5XVm+X1c22ikREZGUJZVguftdZrYSOI/ILWjmufvL6Xyw7i8iUlxCMEcnJcmOmgVZGhfUZ8fO67ryyivbt7/11lusWrWqQ9L1jW9846h5XbGLaWTqfl3ZaKdERER6ItkRLNz9FeCVLMXxUeDuLL23iIRACOboZEWQi4GEZSGSNscccwznnXce5513Xvu2AwcO8MILL3RYTOO//uu/OHjwIBCZ1zV9+vQOi2mcdNJJPfr8LLdTIiIiSUk6weqJTNxfRPcWESkMYUsGMiXI+7Lkwz1h+vXr16N5XSIiIvkqqftgZe3DU7y/iO4tIpLfglzOXMItdl5XXV0dt956a0r3wQoTtVUiIsUh0X2wAkuwovcX+TaR+4vsSuY1arRERIpDqjcaDhO1VSIixSFRW1USRDBRPwAGErm/yCoz++8AYxEREREREUlbVudgdUX3FxERERERkUIT5AiWiIiIiIhIQVGCJSIiIiIikiFKsERERERERDJECZaIiIiIiEiGKMESERERERHJkMBWERQRkQjdgFlERKRwKMESKWC6cA+/pXX13LRkDY1NLQDUNzRy05I1APpdiYiI5CGVCIoUqLYL9/qGRpwjF+5L6+qDDk1i3LFsbXty1aaxqYU7lq0NKCIRERFJhxIskQKlC/f8sKOhMaXtIiIiEm5KsEQKlC7c88OYivKUtouIiEi4KcESKVC6cM8PC+dOpbystMO28rJSFs6dGlBEIiIikg4lWCIFShfu+WHezEpumz+dyopyDKisKOe2+dO1wIWIhNLSunpm3/4YE298kNm3P6Z5vSJxaBVBkQLVdoGuVQTDb97MSv1eRCT0tOqpSHKUYIkUMF24i4hIpnS1eFK22xrddkTyiRIsEREREelWUIsnaeRM8o3mYImIiIhIt4JaPEm3HZF8owRLRERERLoV1OJJuu2I5JvAEywz+7yZuZkNCzoWERGRztROiUQEteqpbjsi+SbQOVhmNg64ANgaZBwiEg6axCxho3ZKpKMgFk9aOHdqhzlYoNuOSLgFvcjFd4AvAPcGHIeIBKy7ScxKviQgaqe6ob9NyTbddkTyTWAJlpldAdS7+2ozCyoMEQmJ7iYxawUpybVU2ikzuwG4AWD8+PE5iC4ctLqb5IpuOyL5JKsJlpn9ERgV56mbgS8BFybxHkXZaIkUm64mMQd57xUpbJlopwDc/U7gToBZs2Z5xgIMOf1tiogcLasJlrufH2+7mU0HJgJtvYJjgefM7HR3f73TexRloyVSbMZUlFMfJ8kaU1GuFaQkazLRThUz/W2KiBwtkFUE3X2Nu49w9wnuPgHYDpyiRkukeHW1/K9WkJJcUzuVHP1tiogcLfBl2kVEoOvlf4O694qIdE1/myIiRwt6FUEAor2DIlLkEk1i1gpSEjS1U/Hpb1NE5GihSLBERLqjFaREwkl/myIiHalEUEREREREJEOUYImIiIiIiGSIuefPyudmtgvYEnQcWTYMeDPoIHKo2I4Xiu+YdbyFLVvHe6y7D8/C+2ZdHrZVhfB/Nt+PId/jh/w/hnyPH3QMQYjbVuVVglUMzGyFu88KOo5cKbbjheI7Zh1vYSu24y1EhfA7zPdjyPf4If+PId/jBx1DmKhEUEREREREJEOUYImIiIiIiGSIEqzwuTPoAHKs2I4Xiu+YdbyFrdiOtxAVwu8w348h3+OH/D+GfI8fdAyhoTlYIiIiIiIiGaIRLBERERERkQxRghUAMxtqZo+a2avRf4ck2O8iM1trZuvN7MZOz/1j9LkXzexbuYm8ZzJxvNHnP29mbmbDsh91z6V7vGZ2h5m9YmbPm9k9ZlaRs+BTkMTvy8zs+9HnnzezU5J9bRj19HjNbJyZ/dnMXo7+vX4699H3TDq/4+jzpWZWZ2YP5C5qSZaZfS36e1tlZo+Y2ZiY526K/l7XmtncIONMpKtzZT7ED2BmC6LnhVYzm9XpuXw5hnw8n//MzHaa2Qsx25Jqu8MgUbuSZ8fQ18yeMbPV0WO4Nbo9b46hS+6urxx/Ad8Cbox+fyPwzTj7lAIbgCqgN7AaOD763LnAH4E+0ccjgj6mbB5v9PlxwDIi95YZFvQxZfn3eyHQK/r9N+O9Puiv7n5f0X0uAf4AGHAG8HSyrw3bV5rHOxo4Jfr9QGBd2I833WOOef6zwG+AB4I+Hn3F/R0Pivn+n4D/jn5/fPT33QeYGP1/UBp0vHHij3uuzJf4o7EeB0wFHgdmxWzPi2PIx/N5NO6zgFOAF2K2ddt2h+UrUbuSZ8dgwIDo92XA09F2JG+OoasvjWAF40rgF9HvfwHMi7PP6cB6d9/o7oeB30VfB/APwO3ufgjA3XdmN9y0pXu8AN8BvgDkw6TBtI7X3R9x9+bofsuBsdkNt0e6+30RffxLj1gOVJjZ6CRfGzY9Pl53f83dnwNw973Ay0BlLoPvoXR+x5jZWOBS4Ce5DFqS5+7vxDzsz5Hz65XA79z9kLtvAtYT+f8QKl2cK/MifgB3f9nd18Z5Kl+OIR/P57j7E8DuTpuTabtDoYt2JZ+Owd19X/RhWfTLyaNj6IoSrGCMdPfXIPJHAoyIs08lsC3m8XaOXJRVA+81s6fN7H/N7LSsRpu+tI7XzK4A6t19dbYDzZB0f7+xPkpkhCBskok/0T7JHnuYpHO87cxsAjCTSE9d2KV7zN8l0inSmqX4JAPM7Btmtg34IPCV6OZ8/BuNPVfmY/yd5csx5EucyUim7Q6dTu1KXh1DtIx8FbATeNTd8+4YEukVdACFysz+CIyK89TNyb5FnG1tvYu9gCFEhlJPA35vZlUeHU8NQraO18z6Rd/jwp7Glg1Z/v22fcbNQDNwV2rR5US38XexTzKvDZt0jjfypNkAYDHwmU4jB2HV42M2s8uAne6+0szOyXRgkryuzlXufq+73wzcbGY3AZ8CvkqI/ka7iz+6T+dzZWjih+SOId7L4mwL43kyX+IsSJ3bFbN4v47wcvcWYEZ0/uQ9ZnZiwCFljBKsLHH38xM9Z2ZvtJUORctp4pX4bScy76jNWGBHzHNLognVM2bWCgwDdmUm+tRl8XgnEak/Xx09cYwFnjOz09399YwdQIqy/PvFzD4EXAacF2Ti3IUu4+9mn95JvDZs0jlezKyMSCN4l7svyWKcmZTOMdcAV5jZJUBfYJCZ/drdr8tivBJHV+eqTn4DPEgkwUrmd58T3cWf4FwZmvghpd9BrFAdQxfyJc5kJNN2h0aCdiWvjqGNuzeY2ePAReTpMXSmEsFg3Ad8KPr9h4B4PVjPAlPMbKKZ9QbeH30dwFJgDoCZVRO5YH0zmwGnqcfH6+5r3H2Eu09w9wlETuanBJlcJSGt36+ZXQR8EbjC3Q/kIN6e6Or/Z5v7gP9jEWcAb0eH+5N5bdj0+Hgt0jPwU+Bld/92bsNOS4+P2d1vcvex0b/Z9wOPKbkKHzObEvPwCuCV6Pf3Ae83sz5mNhGYAjyT6/i608W5Mi/i70a+HEM+ns8TSabtDoUu2pV8Oobh0ZErzKwcOJ/IOShvjqFLXa2Aoa/sfAHHAH8CXo3+OzS6fQzwUMx+lxBZGWYDkVKCtu29gV8DLwDPAXOCPqZsHm+n99pM+FcRTPf3u55ITfuq6Nd/B31MCY7zqPiBjwMfj35vwH9Gn19DxxWyuv1dh+2rp8cLnEmkZOb5mN/pJUEfT7Z/xzHvcQ5aRTCUX0R6v1+I/t+8H6iMee7m6O91LXBx0LEmiD/huTIf4o/GeRWRjsNDwBvAsjw8hnw8n/8WeA1oiv78/y5R2x3Gr0TtSp4dw0lAXfQYXgC+Et2eN8fQ1ZdFD0ZERERERETSpBJBERERERGRDFGCJSIiIiIikiFKsERERERERDJECZaIiIiIiEiGKMESERERERHJECVYIkmK3uvnMTMbFH28L4nXfMbM+mU/urifXWFmn+ji+cfNbEKc7d83s/8X8/hmM/vP6Pf/ZmZzshKwiIhkVed2LIXX/dzMarIQz4fN7JY422eZ2QvRe2thZpPMbKOZDTKz6Wb280zHIpJJSrBEkncJsNrd30nhNZ8BUkqwzKw0lf27UAEkTLC68GXgI2ZWFb3B5d8TuR8LwH8AN2YmPBERybGU2zEz65XFeOJy9xXAE8Dno5v+k8g9tt5x9zXAWDMbn+u4RJKlBEukEzO7zsyeMbNVZvajmITng8S5o7iZnRMdDao1s1fM7K5oL+E/Ebm58J/N7M/RfS80s7+Z2XNmtsjMBkS3bzazr5jZk8ACM7sous9qM/tTdJ/+ZvYzM3vWzOrM7Mro9g+b2b1m9rCZrTWzr0ZDux2YFD2OO5I9/mjDezPwAyKN2lfcvSH63BbgGDMbleKPVUREciSZdszMJpjZCzGv+XzbaFK0TftXM/tf4NPRXc43s7+Y2TozuyzmPf4Sba+eM7P3RLfHbRdTPIwvAX9vZl8Aytz9tzHP3Q+8P8X3E8kZJVgiMczsOOAaYLa7zwBaiDRIALOBlQleOpPIaNXxQFX09d8HdgDnuvu5ZjaMyOjQ+e5+CrAC+GzMexx09zOJ3Ln8x8DV7n4ysCD6/M3AY+5+GnAucIeZ9Y8+d3o0zhlEErRZREaaNrj7DHdfmMrPIdqQDQEGufuvOj39XPRnISIiIZNGO9ZZhbuf7e7/Hn08ATgbuBT4bzPrC+wELoi2adcA3495/VHtYirHEe3Y+yZwG0dXY6wA3pvK+4nkUs6HfUVC7jzgVODZaGdbOZEGBGCou+9N8Lpn3H07gJmtItIQPdlpnzOINDRPRd+7N/C3mOfvjtnvCXffBODuu6PbLwSuMLO2kom+QFuJxKPu/lb085cAZwJLkzngeMxsLDAKcDMb4O6x8812EhmZExGR8OlpO9bZ3Z0e/97dW4FXzWwjMA3YBPzAzGYQSeSqY/ZPpl3szsXAG0TazrUx29UOSagpwRLpyIBfuPtNcZ5rNrOSaAPT2aGY71uI/7dlRBKhaxN89v6Y/TzB669297UdNpq9K87+8V6fiu8BtwDHAV8FYkfA+gKNab6/iIhkR7LtWDMdK5n6dtp3f6fH8dqZfyaSAJ0cfa+DMc8n0y4mFC1DHAzMBe4xs2XufiAmVrVDEloqERTp6E9AjZmNADCzoWZ2bPS5tUTKHFKxFxgY/X45MNvMJkffu5+ZVcd5zd+As6MLTGBmQ6PblwH/2FbHbmYzY15zQTTWcmAe8FSnz06amV0MjAB+CXwNuMrMjo/ZpRp4Id5rRUQkcMm2Y28AI8zsGDPrA1zWzfsuMLMSM5sUfY+1RBKg16IJ2/VARhZpirZl/w58Mrqoxb0cWWwJ1A5JyCnBEonh7i8RmSf1iJk9DzwKjI4+/SBwTopveSfwBzP7s7vvAj4M/Db63suJlFh0jmEXcAOwxMxWc6RM42tAGfB8dGLy12Je9iTwK2AVsNjdV0RLBp+yyFK3SS1yEa2p/y7wCY/YD3yByIIXmFkZMJlI/buIiIRMsu2YuzcB/wI8DTwAvNLNW68F/hf4A/Bxdz8I/BD4kJktJ5L0dB716qn/ByyNHgtEKireb2ZToo/PjR6LSCiZe7qVRCLFwcxGA7909wuCjiWWmX0YmOXun0rxdY8DH3b3zSm85irgFHf/f93uLCIioRK2dizafk1w91tSeE0fIoneme7enKXQRNKiESyRJLn7a8CPLcUbNBaYXkTKNkREJM8USDs2HrhRyZWEmUawRIpUtOdwads9rkRERHIpuvpghbs/HnAoIhmlBEtERERERCRDVCIoIiIiIiKSIUqwREREREREMkQJloiIiIiISIYowRIREREREckQJVgiIiIiIiIZogRLREREREQkQ5RgiYiIiIiIZIgSLBERERERkQxRgiUiIiIiIpIhSrBEREREREQypFfQAaRi2LBhPmHChKDDEBGRLFu5cuWb7j486Dh6Qm2ViEhxSNRW5VWCNWHCBFasWBF0GCIikmVmtiXoGHpKbZWISHFI1FapRFBERERERCRDlGCJiIiIiIhkSF6VCIqICCytq+eOZWvZ0dDImIpyFs6dyryZlUGHJSIiEmq5aj+VYImI5JGldfXctGQNjU0tANQ3NHLTkjUASrJEREQSyGX7qRJBkQK1tK6e2bc/xsQbH2T27Y+xtK4+6JAkA+5Ytra9cWjT2NTCHcvWBhSRiIhI+OWy/dQIlkiK8qE8S6MchWtHQ2NK20VERCS37adGsERS0Ja41Dc04hxJXMI2OqRRjsI1pqI8pe0iIiKS2/ZTCZZICvIlcdEoR+FaOHcq5WWlHbaVl5WycO7UgCISEREJv1y2nyoRFElBviQuYyrKqY8Tk0Y58l9biWfYy1QLjZmVAiuAene/LOh4REQkNblsP5VgiaQgXxKXhXOndpiDBRrlKCTzZlYqocq9TwMvA4OCDkRERHomV+2nSgRFUpAv5VnzZlZy2/zpVFaUY0BlRTm3zZ+ui3KRHjCzscClwE+CjkVERMJPI1giKcin8iyNcohkzHeBLwADA45DRETygBIskRQpcREpHmZ2GbDT3Vea2Tld7HcDcAPA+PHjcxOciIiEkkoERUREEpsNXGFmm4HfAXPM7Nedd3L3O919lrvPGj58eK5jFBGREFGCJSIikoC73+TuY919AvB+4DF3vy7gsEREJMSUYImIiIiIiGSI5mCJiIgkwd0fBx4POAwREQk5jWCJiIiIiIhkiBIsERERERGRDFGJoIgAsLSuPi/u7yUiIiISZkqwRISldfXctGQNjU0tANQ3NHLTkjUASrJEREREUqAES0S4Y9na9uSqTWNTC3csW6sES0QkZFRxIBJuSrBEhB0NjSltFxGRYKjiQCT8tMiFiDCmojyl7SIi+W5pXT2zb3+MiTc+yOzbH2NpXX3QISWlq4oDEQkHJVgiwsK5UykvK+2wrbyslIVzpwYUkYhI9rSNAtU3NOIcGQXKhyRLFQci4RdogmVm48zsz2b2spm9aGafDjIekWI1b2Ylt82fTmVFOQZUVpRz2/zpKjcRkYKUz6NAqjgQCb+g52A1A59z9+fMbCCw0swedfeXAo5LpOjMm1mphEpEikI+jwItnDu1wxwsUMWBSNgEOoLl7q+5+3PR7/cCLwO6whMREZGsyedRIFUciIRf0CNY7cxsAjATeDrgUEQKnpb4LRz6XYqkLt9HgVRxIBJuoUiwzGwAsBj4jLu/0+m5G4AbAMaPHx9AdCKFRUv8Fg79LkV6pu3vQ50TIpINgSdYZlZGJLm6y92XdH7e3e8E7gSYNWuW5zg8kYKjmwoXDv0uRXpOo0Aiki1BryJowE+Bl93920HGIlIs8nlyt3Sk36WIiEj4BD2CNRu4HlhjZqui277k7g8FF5JIbuV6Ds2YinLq41yA58PkbulIv0sREZHwCTTBcvcnAQsyhnRpgrmkI4g5NPEmdxtw7rThWfk8yZ58n6gvEjS14SKSDYGWCOa7fL4TvIRDEDe7nDezkqtPrezQs+HA4pX1+r+bZ7Rcs0jPqQ0XkWxJegTLzIYAY4BGYLO7t2YtqjyhCeaSrqDm0Pz5lV10XjFG/3fzkybqH6F2SlKhNlxEsqXLBMvMBgOfBK4FegO7gL7ASDNbDvzQ3f+c9ShDShPMJV1BzaHR/10JM/fkF4xVOyU9pfOgiKRi3759vPrqq7z66qusW7eOdevWJdy3uxGsWuCXwHvdvSH2CTM7FbjezKrc/afpBp2PNMFc0hXUHBr935WgHTp0iC1btrBx48a4XynIajtlZuOi7z8KaAXudPfv9eS9JFx0HhSRzg4dOsTGjRs7JFHr1q3j1VdfZceOHR32HTt2bML36TLBcvcLunhuJbAyxbgLiiaYS7qCutml/u9Ktrk7b775Jhs3bmTDhg1HJVDbt2/vMFLVt29fJk6cSFVVFWeddRb/8R//keznZLudagY+5+7PmdlAYKWZPeruL6X5vhKwbJ0HtXCGSLi1tLSwdevWuEnU5s2baW09Ul0+fPhwpkyZwoUXXkh1dTVTpkyhurqayZMn069fPyJ3nDqadVWKYWZXu/viONt7A19096+lf5jJmzVrlq9YsSKXH9ktnUglX+n/rqTr0KFDbN68OeEo1L59+zrsP3r0aKqqquJ+jRo1ipKSI+sumdlKd5/VXQy5bqfM7F7gB+7+aKJ9wthWSXyZPg92XhkWIkmbFp8RyS135/XXX++QRLV9v379eg4fPty+74ABA6iurm7/akuipkyZwpAhQ7r8nERtVXcJ1jIiJRGfcPdN0W0XA98BHnb3z/TkoHtKjZYUu0JKir68dA2/fXobLe6UmnHtu8bx9XnTgw4rMGH83bo7u3btOipxahuRqq+vP2oUKlECNXHiRPr165f0Z6eQYOWsnTKzCcATwInu/k6i/dRWFa/Ztz8Wt+ywsqKcp26cE0BEIoVtz549cZOodevWdejk6927N5MnTz4qiaqurmbkyJEJR6K6k6it6q5EcK6ZXQv80cx+A5wIDAeucffVPYpERHpkaV09C2tX09QSuaCtb2hkYW3kzzDoC/FUfXnpGn69fGv74xb39sfFmGQFcT+0NgcPHmTLli1xy/g2btzI/v37O+zfNgo1Z86co5Ko5a+18G+PrOOFhkZ2V5Rz7llTuTzL8eeqnTKzAcBi4DPxkiszuwG4AWD8+PGZ+ljJM1o4QyTzDhw4wPr16+MmUW+++Wb7fiUlJUyYMIHq6mrOPPPMDknUuHHjKC0tzVnMySzT/nvgBOCfgQZgjrsnXjZDRLLi1vtfbE+u2jS1OLfe/2LeJVi/fXpbwu3FmGAlWi76lvvS/926Ozt37kxYxtd5FKq8vLw9YeqcRE2YMCHhKNTSunq+dM8LgSSJZLmdMrMyIsnVXe6+JN4+7n4ncCdERrAy9dmSX4JaOCOMI+AiqWhqamLTpk1xk6jt27d32HfMmDFUV1czf/78DknUxIkT6dOnT0BH0FF3y7SfCfwQeAoYB5wN3G9mdwPfcPdD2Q9RRAD2HGhKaXuYtSQoTU60vdAl6t1uaGxiaV19txdKBw8ejDsXqm1U6sCBAx32HzNmTNwEatKkST0ulQjqnkLZbqcs8sP4KfCyu3873XilsAWxgFCQI+AiqWhtbWX79u1xk6hNmzbR0nLk72bIkCFMnTqVOXPmdEiiJk+ezIABAwI8iuR0N4L1XeDv3f2Z6OOlZvYI8FVgNTAti7GJSA7lsge01CxuMlXawxrofJeo1xsiicuVM8awc+fOhGV89fX1HV7Tr1+/9qTp/PPPP2oUqrw8873pAZZGfZfstlOzgeuBNWa2KrrtS+7+UJrvKwUoiJVhdcNkCZO2ubvxkqj169dz8ODB9n379etHdXU1p5xyCtdcc02H+VHHHHNMgEeRvu4SrNPdvTV2g7sfAL5oZj/PWlQicpSK8jIaGo8eraooL+vxe7YlVfUNjRjQlvJkuwf02neN6zAHK3Z7MVo4dyr/9OunaXl7J01vv05zw5GvHQ2vM+Bru44ahaqsrIybQFVVVaU1YbenArynUFbbKXd/EijOzF96ZN7MyqTOm5nq1Oqqc6NYSgeL5TjD5O23325PnjovMvH222+371dWVsakSZOYMmUKc+fO7ZBEjRkzJudtVa50t8hFaxfPvZz5cIqDTgTSE7dccQILF62mqfXIyE9ZiXHLFSf06P06l5V0Hk/KZg9o2zyrQlhFMNm/Z3fnjTfeiFvCt3HjxqNuYGhlfeg1eBQDhlfyoblXMWnSpA6jUH379s3VISYlqHurqZ2SfJTJsr5EnRsV/cqKonRQJZLZ09jYyIYNG+ImUW+88Ub7fmbGsccey5QpU7juuus6JFHHHnssvXols+RDYelymfawKYSlb3NxjwwlcIUrk7/bRMsJxzJg0+2X9uj9i0Hnv+fWpkP02r+La4/ry0h7+6hSvsbGjj/vsWPHtidNh8qH8fgOwweOoFfFKEr6VdCvd6+8un9OJv9/JrtMexgVQlsl2ZXJ5dwTXVf06VUSt+qh0JaM19L46Wlubmbz5s1xk6itW7d2WARp1KhRHeZDtSVRkyZNCl2nX670aJl2ybxs10qrJ6ewJVt6koxk5sbkoLwrr7TduLAtYbr5F39i9xvb2sv5WvbtBuBfo/v379+fqqoqJk+ezIUXXtihjO/5hjK+9/gWtjY00hxNRt5HbuduZFom/3+KFLJMzllMNO/rn+9elbHPyKVUO2q0NH733J36+voOCVRbErVhwwaam5vb9x08eHD7MuexSdSUKVMYNGhQgEeRX5Rg5Vi2TwSa7CrJ6mphBchNeVcYHThw4KgV+dpK+TZt2tRpFMooHXgMvSpG0XfiKfSqGEVZxSh6DR7F6n+/nuHDh8etL19aV89XHzy6I+S2+dPV4yoSsFxUgWR6zmK8zo22+bWZ+oxs6PyzPnfacBavrE+pkzjA+Z+h4u689dZbcUeiXn311Q7zeMvLy5k8eTInnngi8+fP73Dj3WHDhhXsvKhc6m6Z9k0cPTWjwy7R57/r7t/PZGCFKtsnAvXkSLLizZlp+4OuTOKiIl9LUd2d1157LeF9oV577bUO+/fv359JkyZRXV3NRRdd1GEU6sO/38Rr+1uO+ozKinJGjBiRMAZ1hGSO2inJpFxVgeRizuLCuVPjztsNS8dZvJ/1Xcu3pjwfOKj5n0HZt29f3JGodevWsWfPnvb9evXqxcSJE6murj5qqfPKykpKSkoCPIrC190iFxNzFUixyPaJQD05kqx0lhMOeynqgQMH2LRpU8IkKnaZWDNrnwsVm0C1LSrRVW/eFy8b0KO/Z3WEZI7aqfyRD50yuer8yNly7p1PXSEamIj3s07UU9LVuTGIpfGz7dChQ2zcuDFuEtW5E3DcuHFUV1fz/ve/v0MSNWHCBMrKer7KsKRHJYI5lu0TQbH15Eh6ejpnJugRmNbW1g5zoTqvyPf666932H/AgAFUVVUxdepULr744g6jUMcee2yP7/ze079ndYRIsQl7p0ybXHZ+ZHvO4h3L1tLU0jFlaWrx0IyUp/Iz7e7cmMv5n5nqKGhpaWHr1q1xk6gtW7bQ2npkgdThw4e3V1HEJlGTJk2iX79+mTw8yRAlWAHI5omgEHtyJFjxGpNcXITs378/4SjUpk2bjhqFGjduHFVVVVxyySVH3RcqmzXlPfl7VkeIFJugO2WSVUidH2EfKU/0s469JyOE69yYakdB28JI8ZKoDRs2cPjw4fZ9Bw4cSHV1NWeccQbXX399hwUmKioqcnJ8kjlKsAqQVvKSTEnUmAxOcNPjVC5CWltbE86F2rBhQ4d7bEBkFGrSpElMmzatPYlqK+MbP358j0ehgqCOECk2Yb/Yb1NInR9hTxYT/ayvPrWSP7+yK6VzY67KTxN1FNy2dAWjD2+Pu8DEvn372vft06cPkydPZtq0aVx++eUdkqggbhAv2dNtgmVmpcDt7r4wB/GISIgkakz6lpVQXlba7UVI51Go2DK+TZs2cejQofZ920ahJk2axGWXXXbUKNQxxxxTUI2POkIyR+1U+IX9Yr9NIXV+hD1ZzNTPOlflp/v372fzuhc5vHsHzXt20LS7nubd9TTt2cGWxnc4418i+5WUlLQvLvHe9763wz2jxo4dS2lpacZikvDqNsFy9xYzO9XMzPPprsQikrZEvcsNB5r4zjUz+NYfXmbb9noGt+xhzhjnuXv+Su2/HxmJ6jwKNXDgQCZNmsTxxx9/VBJ17LHH0rt371wclhQYtVPhF/aL/Vj51PnR1chNPiSLmfhZZ7L89PDhw2zatOmokah169ZRX1/fYd/SAcfQa2gl/arfQ++hlfQaOoYx46v40vvPZsHpWnun2CVbIlgH3Gtmi4D9bRvdfUlWohKRUBhTUc62nbtpfvuN9pvpNje8Tun+Xdx079vto1DbgReJ9Ny1zYW67LLL2kv42r6GDh1aUKNQEipqp0IsHy7280VbUlXf0NhhvlK8kZt8ShZ7KtXy09bWVrZt2xY3idq8eTMtLUeStWOOOYbq6mrOO+88qquraSgbRu2rzbQMHElJ76NHX/cAX7l/LWVlvQv+5y5dSzbBGgq8BcTeAdMBNVwiea61tZUdO3YcVcK3ceNGXl63nrd3v9lh/5I+/ZgwsYoTTjiByy+/vEMCNX78+NCPQsW7sWWq9f4SSmqnQq4YLvazrXM5XKr3jCpE8cpP3Z3hvQ7yl7/85agkasOGDR0WSerfvz/V1dWceuqpXHvtte1zoqZMmcIxxxxz1OfNjmlDSsxo6TRoXoy/AzlaUgmWu38kWwGY2UXA94BS4Cfufnu2PkukWO3bty/hPaE2bdrUYSWjkpISxo8fT1VVFQvmz+Ng32E881Yv9pYNZeyxE7lp3iyuOmVsgEfTc/Fq9X+9fGv782FdOlq6l812SiQs4pXDdRa2hUOy6e2332be2Ea+8/QTHNi1jabo/KjmPfVsPXSAs/41sl9ZWVn7DeMvvvji9iSqurqa0aNHp1RZEdtRMPHGB+PuU0y/A4kvqQTLzKqB/wJGuvuJZnYScIW7fz2dD49OTP5P4AJgO/Csmd3n7i+l874ixaalpaV9FCreiny7du3qsP+gQYOYNGkSJ554IldeeeVRo1CFenPCZC5O1PuYn7LVTknw8uEGxbmSzIV7rhYOydXvpbGxkfXr1x+1Ot+6devYuXPnkR3N6DVoBANGjOM9Z8/motmntCdR48ePp1evzC+cnS+Lt0juJfu/7cfAQuBHAO7+vJn9Bki34TodWO/uGwHM7HfAlYASLJFO9u7d274iX+dSvs2bN3cYhSotLW0fhZo3b95RK/INGTKkKOdCJdurqN7HvJStdkoClC83KM6VRBf0bXK1cEimfy9NTU1s3rw5bhK1bds2YteuGTVqFNXV1VxxxRUdRqKqqqro27dvZg4wSfm0eIvkVrIJVj93f6bTBVlzBj6/EtgW83g78K4MvK9I3mlpaaG+vj5hKV/nUajBgwczadIkTjrppPYkqm1RiXHjxuVkFCrfepa7uziJ3U/yTrbaKQlQPtygOJfnwXgX9G0LXVTm8Byc6Pfyud+vBuInWW3zfePddHfjxo00Nx/5c62oqKC6upqzzjqrQxI1ZcoUBg4cmN2DS4EWb5FEkk2w3jSzSUTnU5pZDfBaBj4/Xhd6h9mCZnYDcAPA+PHjM/CRIsF55513OtwXKraMb/PmzTQ1Hbl5b2lpKcceeyxVVVVcddVVcUehgpSPPcvxLk46U+9j3spWOyUBCvsNinN9HgzLBX2in39zaysLf/UXXlldzij2dEiiXn31VRobj7yuvLycKVOmcNJJJ1FTU9OeRFVXV+fVfQ+1eIvEk2yC9UngTmCamdUDm4DrMvD524FxMY/HAjtid3D3O6OfzaxZs3R/Ewm12FGozmV8Gzdu5M03O67IN2TIEKqqqpgxYwbz58/vkEBlehQq072s+dCz3Fm8ixOtIlgwstVOSYDCPscliPNgGC7oR5Y7WzZtaL/RbuyNd1sP7eem6H69evWiqqqK6upqzj///A5J1JgxYygpKQn0OESyJdlVBDcC55tZf6DE3fdm6POfBaaY2USgHng/8IEMvbdIVrzzzjsJy/i6GoVqS6DayvgmTpyYs1GobPSyhr1nOZEwXJxI5mWxnZIAhX2OS76eB5Nx6NAhNmzYcFQ537p163j99dc77Fs6aDhlQyrpd/zZlA2ppGzoGJ667TqOPfbYHncU5lsJukisLhMsM/tsgu0AuPu30/lwd282s08By4gs0/4zd38xnfcsRDrJ5FZLSwvbt2+PW8a3ceNG3nrrrQ77Dx06lKqqKmbOnMnVV1991ChUNlYuSlU2elnD3rMsxSHb7VT0vXQ7kYCEpSQukXw/D7a0tLBly5a4SdSWLVs6LC4xYsSIDsuc7+l1DL95pQkbPIqSsj4d3reyopzJkyf3OK6uOgUhvP8fRNp0d+XXNpNwKnAacF/08eXAE5kIwN0fAh7KxHsVonyc55IP3n77bTZt2tShjG/5qpd55dX1HNzzBrQemWzbq1ev9lGompqao+ZCVVRUBHcgSUq0sENXCz50l9iHvWdZikZW2yndTiR4YR51zofzoLvz2muvxU2iNm7c2GEF2kGDBlFdXc273/1uPvShD7WX802ZMoXBgwcf9d7v7nSNApk5/kSdgrfc9yKHmlt1TSSh12WC5e63ApjZI8ApbSUXZnYLsCjr0UleznMJg+bm5rijUG1fnUehBgyuoLnfcEqGVzFoynvoVTGK/seM4cvXnsNH584KxShUOkrj3G2+bXs8yST2Ye9ZluKQg3ZKtxORhMJ0Hty9e/dRCVTb4/3797fvZ73K6FUxhoEjx3HpB+Zw2XtPbU+iRowYkfJNdyHzx5+oxLKhsemobbomkjBK9qpxPHA45vFhYELGo5Gj5Kq+Ox/LEN9+++2EZXxbtmzpsORrr169mDBhAlVVVSxYsKDDCNTEiRO59L+fizua84s1B7jh0swkV0H+jOMlV11tTzaxD3PPshSdbLVTup1IkUn1XJ3L8+D+/ft59dVX4yZRsR2HpaWlTJw4kSlTpnD22WdTXV3NrpKh/OrFQzT1G4pZZHGJl8tK+T8zp3NmGvFn4/iTvaVGm0KY8yaFJdkrx18Bz5jZPUSWwL0K+EXWopJ2uajvDmsZYtsoVLzV+DZu3Mju3bs77H/MMcdQVVXFrFmzeN/73teeQE2aNInKysouR6GyncgGXU9emeD/UWWC/0eFPHFbCla22qlubycCuqVIoQhDe3j48GE2btwYN4mqr6/vsO/YsWOZMmUKNTU1He4XNXHiRHr37t1h39m3P0Zz/8YO/6HDOvqTqPSyb1kJew4cPYqVL3PepHh0m2BZZKz4l8AfgPdGN3/E3euyGZhE5KK+O8gyxIaGhoRlfIlGoSZNmsRpp5121ChUvPrwZGU7kU30M771/hc52JT9evJU/x/l+8TtbMjHUd5ikeV2qtvbiYBuKVIoctUetrS0sG3btrhJ1KZNm2htbW3fd9iwYUyZMoXzzz+/w5yoyZMn079//6Q/M5cdZ+meLxOVHgKhn/MmAkkkWO7uZrbU3U8FnstBTBIjF/Xd2TzpNjc3s23btrhlfBs3bmTPnj0d9h82bBhVVVWcdtppXHPNNR2SqLFjx1JaWpp2TPFkO5FN9LOM1xOXjcY89v9RfUMjpWbtnxP7fJt8mLidS2Ho1ZbEstxO6XYiRSST7aG788Ybb8RNotavX8+hQ4fa9x0wYABTpkxh1qxZfOADH2hPoqZMmcLQoUN7fDyxEnWcDS4vY/btj2Xs3oCZOl92VXqozi4Ju2RLBJeb2Wnu/mxWo5G4elLfnErvUbqjFXv27OlyFKql5chFellZWftcqNNPP71DGd/EiRMZNGhQSseZKdlOZMNQT952LMk0fGGauB0GWmwmL2SlndLtRIpLT9rDhoaGuEnUunXr2Lv3yO3YevfuzaRJk6iuruaSSy7pcNPdUaNGpbS4RE/E6zgrKzH2H25uXzyivqGRXy/f2v58T5KjbJ8vNfdX8kGyCda5wMfMbAuwn0hNurv7SVmLTHos1d6j7kYrmpqajhqFiv2KNwo1adIk3vWud3Httdd2GIWqrKzM2ihUurJ50k70M+7TqyTuqkjZKsVLpeFTI3aE5qTlhay1U7qdSPFIdK7+p7PHs2bNmrhLne/atat935KSEo499liqq6t5z3ve0yGJGj9+fKDtX7yOswOHm+NWUsRKNTnS+VIk+QTr4qxGIRmVau/RvJmV7HungTtq/8Jr27ZQfuhNxpUf4Ad/e4PPbtzI1q1bjxqFmjhxIlVVVbzrXe86ai5UUKNQYRaWenI1fD0TxJw0zflKmdopSUtTUxMnDDjA1cN3ctcjy3lrxxZK3nmd/ftf5/1f7zjtbvTo0VRXVzNv3rwOSVRVVRV9+vRJ8AnB69xxNvHGB5N6XSpthObwiiSfYGnCbh6JdyL0lma2bNrIo4+2xB2Famho6LB/4/DhVFVVccYZZ/DBD36wQxI1ZsyY0I5ChVkY6snV8PVMruekac5Xj6idkm61trZSX18fdyRq06ZNHRZWqqioYOrUqVS/57wOSdTkyZMZOHBgF5+SPx0kyZavp9JGaA6vSPIJ1oNEGi8D+gITgbXACVmKS1Lk7u1zoXpvfZqdO7bS3PD6ka93doG3cuGdkf179+7dPgr17ne/+6hRqO4aD8mcXJbiqeHrmVzPSdOcrx5ROyVApD1888034yZR69evp7HxSELRr18/pkyZwowZM1iwYEGHVfqOOeaYHs2LyqcOknhtQmepthGawyuSZILl7tNjH5vZKcDHshKRJNTU1MTWrVvjrsa3ceNG3n777Q77l/SroFfFSHpXTmPw9Dlce94sas49tX0uVElJSUBHIkFRw9dzuUyEVcqZOrVT4ZPtUZx33nmnPXnqvMhEbHvYq1ev9sUlLrjggvYkqrq6mjFjxmR8cYlEHSSfuXsVdyxbG6pzbrw2Id1VBNveNyzHKBKEZEewOnD358zstEwHU+zcnd27dydcTGLr1q0d7o0ROwo1e/bsDqNQL7zThx/8ZbsuouUoavjCT6Wc6VM7FaxMjeIcPHiQDRs2tCdRj/6tjmdWvcj+Xdtp2X9kgSUzY/z48VRXV/PBD36ww0jUhAkTeGDNG9yxbC1rGhoZs6echRXVVFZm5zzYVUdItkezepLU5mObkC8lmFK8kkqwzOyzMQ9LgFOAXQl2ly4cPny4wyhU5/tDvfPOOx32HzlyZHsCdf311x81FyrRKNSGuvq420Uk/FTKmTq1U+GSSplrc3MzW7ZsOWok6tVXX2XLli24H5leV9p/CL2GjKFv1SzKhlbSf/hYFr7vHG647D2Ul8fvgMh1yV5385qyVe6bT6WJ6SiW45T8luwIVuyEnGYite6LMx9O/us8CtW5jG/btm0dRqH69OkTdxRq0qRJTJgwgQEDBqQcg04+IvlNpZw9onYqRDqP4rg7LfveYsOWHdx55/oOSdSGDRtoajqyVPigQYOYOnUq73nPe/jwhz/cPhL1yQd28MbBoxdY+v0G49MJkivI/ZzGZOY1JVvum8pITbHM3SyW45T8luwcrFuzHUg+OXz4MFu2bElYyhdvFGrSpEm8973v7TACVVVVxejRozM+F0onH5H8l49lO0FSOxUOb731Fq+++iq9Nv6Fnds307y7nqY9O2jeswNvOgjAx34Hffv2ZfLkyRx//PHMmzevPYmqrq5m+PDhcedF7ayNv6R4d8lKruY0xiZDg8vL6FtWkvAeU8mU+6baWVosczeL5TglvyVbIjgLuBk4NvY1hXqjYXfnrbfeSphAxRuFakuYOidREydOpH///jmNv1BPPqq5FpFECqWdyofz3L59+3j11VePKudbt24du3fvPrKjldCrYiRlQyrpO346/YaP5R+uOJOPXPIexo4dm3LnYk/nJuZiTmPnZKihsYnyslKuO2M8i1fW96jcN9XO0mKZu1ksxyn5LdkSwbuAhcAaoLWbffNC7ChU5zK+jRs3snfv3g77jxo1qkMCNWnSpPYkatSoUaFaka8QTz4qexSRbuR9OxWm89zhw4fZuHFjh5X52pKoHTs63nR37NixVFdX8773va/DSNTzDb35zmMbM5Ys9nRuYi7mNCZKhv78yi5umz+9R0lzqp2lxTJ3M53jzIcODCkMySZYu9z9vqxGkmFt98HoahQqduJs37592xOms88+u8Mo1IQJE3I+CpWObJxkgz4pqexRRLqRd+1UZ7k+z7W0tLBt27a4SdTmzZs7VGoMGzaM6upqLrzwwg5J1OTJk+nXr1/c968Gak6fkLF4ezo3MRdzGrtKhpIt9+3czlb0K4tbYpios7RY5m729DjD1IEhhS/ZBOurZvYT4E/AobaN7r4kK1El6dChQ13Oheo8CjV69Oi4CVQYR6HSkemTbBhOSoVa9igiGRPKdioV2TjPuTuvv/563HK+9evXc/jw4fZ9BwwYQHV1NaeffjrXXXddexI1ZcoUhgwZ0uMYMqmncxOzPacx3cqReO1sWYlRVmo0tRzpDO6us7RY5m725DjVUSu5lGyC9RFgGlDGkdILB3LacL322mt89KMfbU+gtm/f3uUoVGwZ34QJExL2shWiTJ5kw3BSKsSyxyAEPRIpkkWhaKfSkc55bs+ePXGTqHXr1rFv3772/Xr37s3kyZOprq7m0ksv7XDT3ZEjR2b8prthlI3zYLqVI/Ha2aZWp6K8jP59eumcnQHqqJVcSjbBOtndp2c1kiTs2LGDZcuWUVVVxbnnnht3FKoYGodcC8NJqVhqy7MpDCORIlkUinYqHd2d5w4cOMD69evjJlFvvvlm+2tKSkqYMGEC1dXVzJ49u0MSNW7cOEpLj17qvFhk6zyYbuVIovb07cYmVn31wh7HlUgxdrapo1ZyKdkEa7mZHe/uL2U1mm7MnDmT5557LsgQCkKqJ9YwnJTytbY8TI1YGEYiRbIoFO1UOubNrKS5qYl/vft/qd+ykX6NOzm2337+4/P1/OO6dWzfvr3D/mPGjKG6upqrrrqqQxI1ceJE+vTpk1YsYTp3ZVI2z4PpVI7ksp0t1s42ddRKLiWbYJ0JfMjMNhGpbTfAc738baHMkQpST06sYTkp5VttedgasTCMRIpkUSjaqWS0trayffv2uCNRmzZtoqXlyLn27SFDmDp1Kueee26HJGry5Mk9uhF9MsJ27oqVbuIX1vNgLtvZYu1sy9eOWslPySZYF2U1CsmZnpxYdVLqmbA1YmEYiRTJolC1U+7Orl27jkqg2haXOHjwYPu+/fr1o7q6mpkzZ3LNNdd0WKXvmGOOyXnsYTt3tclE4hfW82Au29mwJpm5kG8dtZK/ukywzGyAu+9z9y3d7ZP50CQbenpi1UkpdWFrxMIyEimSSWFsp15++WWGDBnC22+/3b6trKyMSZMmMWXKFObOnds+EjVlyhTGjBkTqvnDYTt3tclE4hfm82Cu2tmwJpkihaS7Eax7zWwVcC+w0t33A5hZFXAu8D7gx0Btqh9sZncAlwOHgQ3AR9y9IdX3yRdhqWfXiTV3wvaz1kikFKistVM9VVpaynXXXddhJOrYY4+lV69ki0aCFbZzV5tMJH46D4Y7yRQpFF2e7d39PDO7BPgYMNvMhgJNwFrgQeBD7v56Dz/7UeAmd282s28CNwFf7OF7hVqY6tl1Ys2dMP6sNRIphSbL7VSPVFdX84Mf/CCXH5lRYTx3QeYSv2I/DyrJFMm+brvT3P0h4KFMf7C7PxLzcDlQk+nPCIsw1bPrxJo7+lmL5Ea22qliFdZzV1gTv0zIdZVLsSeZItmWVL2CRYrDPwhMdPevmdl4YJS7P5OhOD4K3J2h9wqdsNWz68SaO/pZi+RGNtqpYitljxXGc1dYE790hanKRUQyI9mC8B8CrcAc4GvAXmAxcFpXLzKzPwKj4jx1s7vfG93nZqAZuCvBe9wA3AAwfvz4JMMNl7DWs4uIFJAetVPdKJpS9nwRxsQvXWGqchGRzEj2xlLvcvdPAgcB3H0P0Lu7F7n7+e5+YpyvtuTqQ8BlwAfd3RO8x53uPsvdZw0fPjzJcMNl4dyplJeVdthWKGUNIiIh0aN2qivu/oi7N0cfLgfGpheiyNHCVuUiIulLNsFqMrNSwAHMbDiRnsIeM7OLiPQEXuHuB9J5r7CbN7OS2+ZPp7KiHAMqK8q5bf509UyJiGROxtupTj4K/CGD7ycCJK5mUZWLSP5KtkTw+8A9wAgz+waRBSm+nOZn/wDoAzwavf/Hcnf/eJrvGVqFWNYgIhIiPWqnMlHKHt0n78vZJRiFvHiHSLFKKsFy97vMbCVwHmDAPHd/OZ0PdvfJ6bxeRESkTU/bKXc/v6vnY0rZz0tUyh59nzuBOwFmzZqVcD+Rzgp18Q6RYpb0XQ/d/RXglSzGknVhudmviIhkXqbbqZhS9rMLvZRdgqUqF5HCkh+3lc8ALYMqIiIpKqpSdhERyYyiSbC0DKqIiKRCpewiItITya4imPe0DKqIiIiIiGRb0SRYWgZVRERERESyrWgSrGK/2e/Sunpm3/4YE298kNm3P8bSuvqgQxIRERERKThFMwermJdB1QIfIiISFlrRV0QKXdEkWFC8y6BqgQ8REQkDdfiJSDEomhLBYqYFPkREJAy66vATESkUSrCKgBb4EBGRMFCHn4gUAyVYRaDYF/gQEZFwUIefiBQDJVhFYN7MSm6bP53KinIMqKwo57b501XvLiIiOaUOPxEpBkW1yEUxK9YFPkREJDyKeUVfESkeSrBEREQkZ9ThV1i07L7I0ZRgiYiIiEjKtOy+SHyagyUiIiIiKdOy+yLxKcESERERkZRp2X2R+JRgiYiIiEjKtOy+SHxKsEREREQkZVp2XyQ+LXIhIu20GpSIiCRLy+6LxKcES0QArQYlIiKp07L7IkdTiaCIAFoNSkRERCQTlGCJCKDVoEREREQyQQmWiABaDUokETP7vJm5mQ0LOhYREQk/JVgiAmg1KJF4zGwccAGwNehYJH8tratn9u2PMfHGB5l9+2MsrasPOiQRyaLAF7kws88DdwDD3f3NoOORwqTV8bqn1aBE4voO8AXg3qADkfykBYREik+gCZZ6BiUXstG4FWrCptWgRI4wsyuAendfbWZBhyMhkkob0NUCQjrfihSmoEew1DMoWZfpxk29kSKFw8z+CIyK89TNwJeAC5N8nxuAGwDGjx+fsfgkfFJtA7SAkEjxCWwOVmzPYFAxSHHIdOOm5cxFCoe7n+/uJ3b+AjYCE4HVZrYZGAs8Z2bxkjHc/U53n+Xus4YPH567A5CcS7UN0AJCIsUnqwmWmf3RzF6I83Ulkd7BryTxHjeY2QozW7Fr165shisFKtONm3ojRQqfu69x9xHuPsHdJwDbgVPc/fWAQ5OApdoGaAEhkeKT1QQrEz2D6hWUdGW6cVNvpIhI8Uq1DZg3s5Lb5k+nsqIcAyoryrlt/nSVlIsUsEDmYLn7GmBE2+NokjVLqwhKNmR6dbyFc6d2qL8H9UaKFLroKJZIj9oALSAkUlyCXuRCJCcy2bhpOXMRkeKlNkBEuhOKBEs9g5Jv1BspIlK81AaISFcCW0VQRERERESk0CjBEhERERERyRBz96BjSJqZ7QK2BB1H1DCg0BblKLRjKrTjgcI7pkI7HtAxZcqx7p6XS8eGoK0qxP+D3dExFwcdc3HIp2OO21blVYIVJma2wt1nBR1HJhXaMRXa8UDhHVOhHQ/omCR4xfj70jEXBx1zcSiEY1aJoIiIiIiISIYowRIREREREckQJVg9d2fQAWRBoR1ToR0PFN4xFdrxgI5JgleMvy8dc3HQMReHvD9mzcESERERERHJEI1giYiIiIiIZIgSrDSY2dfM7HkzW2Vmj5jZmKBjSoeZ3WFmr0SP6R4zqwg6pnSZ2QIze9HMWs0sb1ekMbOLzGytma03sxuDjiddZvYzM9tpZi8EHUummNk4M/uzmb0c/T/36aBjSoeZ9TWzZ8xsdfR4bg06JkmdmX3ezNzMhgUdS7YVYhuWSKG1Cd0ptPNrKsys1MzqzOyBoGPJBTOrMLPa6N/yy2b27qBj6gklWOm5w91PcvcZwAPAVwKOJ12PAie6+0nAOuCmgOPJhBeA+cATQQfSU2ZWCvwncDFwPHCtmR0fbFRp+zlwUdBBZFgz8Dl3Pw44A/hknv+eDgFz3P1kYAZwkZmdEWxIkgozGwdcAGwNOpYcKcQ27CgF2iZ0p9DOr6n4NPBy0EHk0PeAh919GnAyeXrsSrDS4O7vxDzsD+T1hDZ3f8Tdm6MPlwNjg4wnE9z9ZXdfG3QcaTodWO/uG939MPA74MqAY0qLuz8B7A46jkxy99fc/bno93uJNAqVwUbVcx6xL/qwLPqV1+e4IvQd4AsUye+tENuwBAquTehOoZ1fk2VmY4FLgZ8EHUsumNkg4CzgpwDuftjdGwINqoeUYKXJzL5hZtuAD5L/I1ixPgr8IeggBIg0IttiHm+nCBqWfGZmE4CZwNMBh5KWaGnKKmAn8Ki75/XxFBMzuwKod/fVQccSkEJuw4q6TSiU82uSvkukk6Q14DhypQrYBfxPtCzyJ2bWP+igekIJVjfM7I9m9kKcrysB3P1mdx8H3AV8Kthou9fd8UT3uZnIcPxdwUWavGSOKc9ZnG1F0SOdj8xsALAY+EynUe684+4t0RLoscDpZnZiwCFJjG7OfTdTWJ1+QGG2YT1QtG1CIZ1fu2NmlwE73X1l0LHkUC/gFOC/3H0msB/IyzmGvYIOIOzc/fwkd/0N8CDw1SyGk7bujsfMPgRcBpznebKGfwq/o3y1HRgX83gssCOgWKQLZlZGpPG/y92XBB1Pprh7g5k9TmTeXMEsTJLvEp37zGw6MBFYbWYQOWc8Z2anu/vrOQwx4wqxDeuBomwTCvX82oXZwBVmdgnQFxhkZr929+sCjiubtgPbY6olasnTBEsjWGkwsykxD68AXgkqlkwws4uALwJXuPuBoOORds8CU8xsopn1Bt4P3BdwTNKJRa5kfwq87O7fDjqedJnZ8LZV2MysHDifPD/HFQt3X+PuI9x9grtPIHLRckq+J1fdKaI2rOjahEI7vybD3W9y97HRv+H3A48VeHJF9By1zcymRjedB7wUYEg9pgQrPbdHSxOeBy4kstJLPvsBMBB41CJLz/930AGly8yuMrPtwLuBB81sWdAxpSo6aftTwDIiE3t/7+4vBhtVeszst8DfgKlmtt3M/i7omDJgNnA9MCf697Mq2vOYr0YDf46e354lMgerKJYJlrxVcG1YPIXYJiSh0M6vktg/AndF254ZwL8GG07PWOGOoIuIiIiIiOSWRrBEREREREQyRAmWiIiIiIhIhijBEhERERERyRAlWCIiIiIiIhmiBEtERERERCRDlGCJ9IBFPGZmgwL6/A+b2ZgUX3OLmX04zvb5ZvanmMdnRpfA7WVml5nZrRkIWURERKQoKMES6ZlLgNXu/k6uP9jMSoEPAyklWIm4+xLgoJl9wMx6AT8EPhG918qDRO4k3y8TnyUiIrkR2xFoZhPM7IWgY4plZueYWdx765nZ5jjbSs1spZmdFbPtETNbEP3+j2Y2JGsBi6RACZZIF8zsOjN7Jjqi86NocgPwQeDe6D4TzOwVM/uFmT1vZrVtCYmZnWdmdWa2xsx+ZmZ9zOxiM/t9zGecY2b3R7+/0Mz+ZmbPmdkiMxsQ3b7ZzL5iZk8C1wKziNyIb5WZXWpm98S83wVmtiTFQ/1H4OvArcCz7v5XAI/cKO9x4LJUf3YiIhKonHcERpO6rFxbunsL8AngP82szMyujWz2RdFdfhV9XiRwSrBEEjCz44BrgNnuPgNoIZJYQeSu8itjdp8K3OnuJwHvAJ8ws77Az4Fr3H060Av4B+BR4Awz6x997TXA3WY2DPgycL67nwKsAD4b8xkH3f1Md/919LkPRuN6CDjOzIZH9/sI8D+pHKu7bwTuBj4FfLHT0yuA96byfiIikhvJdARGlZrZj83sxejIT3n09f9kZi9FOwh/18XnDDezR6MdgD8ysy1mNizayfiymf0QeA4YZ2b/ZWYrop91a8x7XBTtkHwSmJ/qsbr708BfgVuAfwU+GfP0fUQ6IEUCpwRLJLHzgFOBZ81sVfRxVfS5oe6+N2bfbe7+VPT7XwNnEkm6Nrn7uuj2XwBnRUvvHgYuj5bkXUqkETwDOB54Kvp5HwKOjfmMu+MFGR1l+hVwnZlVAO8G/pDKgUZ7HM8H9nX6TICdZKgcUUREMifFjsApwH+6+wlAA3B1dPuNwMxoB+HHu/i4rwKPRTsA7wHGxzw3Ffilu8909y3Aze4+CzgJONvMTop2Ov4YuJxIp92onh01NwGfAX7j7uvbNrr7HqCPmR3Tw/cVyZheQQcgEmIG/MLdb4rzXLOZlbh7a/Sxd3reo69P5G4iPW+7iZTk7TUzAx5190Q9cPu7eL//Ae4HDgKLoklcKj4JvAD8PyLlF++OJm4AfYHGFN9PRESyL7YjEKCcSKcYHN0RuMndV0W/XwlMiH7/PJGS86XA0i4+60zgKgB3f9jM9sQ8t8Xdl8c8fp+Z3UDkOnM0kc7DkmgMrwKY2a+BG5I90BhnAW8DJ8Z5rq1D8K0evK9IxmgESySxPwE1ZjYCwMyGmlnb6M5ajoxmAYw3s3dHv78WeBJ4BZhgZpOj268H/jf6/ePAKcD/5cjI1HJgdtv+ZtbPzKoTxLYXGNj2wN13ADuIlBj+PJWDNLNRREoRv+DuDwP1wN/H7FJNJPkSEZFwaesInBH9murut0Sfa+40H+pQzPctHOlkvxT4TyKJ2spoZUWiz0qkvQPQzCYCnwfOi46KPUikow6O7oxMSbS0/lvAHGC4mV3SaRd1CEooKMESScDdXyKSsDxiZs8TmTs1Ovr0g8A5Mbu/DHwout9Q4L/c/SCR+VCLzGwN0Ar8d/S9W4AHgIuj/+Luu4isDvjb6PssB6YlCO/nwH9Ha+7Lo9vuIlKq+FKKh/pt4FvRz4dI6cXNZjY0+vjc6PGKiEi4pNIReJRoAjbO3f8MfAGoAAYk2P1J4H3R110IJFqxbxCRhOttMxtJpJ2DSKfjRDObFH3ck/lSXwF+7+6vEFnQ4jvR0kOiVSCjgM09eF+RjFKJoEgX3P1u4s99+gnwy+i/AK3uflTturv/CZiZ4L0/RWRRidhtjwGnxdl3QqfHi4HFnXY7k0h9e0rc/QOdHm8jWjoSbRzL3X1Nqu8rIiLZ5e4vmVlbR2AJ0ESk5HsLRzoC1yd+B0qBX5vZYCIjVN9x94YE+95KpAPwGiLVGK8RqabokJC5+2ozqwNeBDYCT0W3H4yWDT5oZm8SSdjilfnFZWbHEylRPDn6fqvMbBmRhZluJTICt7wHJfIiGWdHplmISCrM7H1EFqsYCjzg7kk3FFmIZSWRHsML3P1Qgn1uATa7+89TeN/TgKaYun0REckDZjaayMITF2To/foALe7eHC2J/6/owhoZZ2abO3csJvGa7wH3RTs2RQKlESyRHnL3tntZvUMKvXBZiuXUJHZ7nMjKUam877M9iUdERILl7q9Fl2UflKF7YY0Hfh8dKTtMZA5xmLyg5ErCQiNYIiIiIgKAmX0E+HSnzU+5+yfj7Z+lGD7j7t/N1eeJZJoSLBERERERkQzRKoIiIiIiIiIZogRLREREREQkQ5RgiYiIiIiIZIgSLBERERERkQxRgiUiIiIiIpIhSrBEREREREQyRAmWiIiIiIhIhijBEhERERERyRAlWCIiIiIiIhnSK+gAUjFs2DCfMGFC0GGIiEiWrVy58k13Hx50HCIiIqnKqwRrwoQJrFixIugwREQky8xsS9AxiIiI9IRKBEVERERERDIkr0awREQkvJbW1XPHsrXsaGhkTEU5C+dOZd7MyqDDEhERySklWCIikraldfXctGQNjU0tANQ3NHLTkjUASrJERKSoqERQRETSdseyte3JVZvGphbuWLY2oIhERESCoQRLRETStqOhMaXtIiIihUoJloiIpG1MRXlK20VERAqVEiwREUnbwrlTKS8r7bCtvKyUhXOnBhSRiIhIMLTIhYiIpK1tIQutIigiIsVOCZaIiGTEvJmVSqhERKToqURQREREREQkQ5RgiYiIiIiIZIgSLBERERERkQxRgiUiIiIiIpIhOUmwzOxnZrbTzF6I2TbUzB41s1ej/w7JRSwiIiIiIiLZkqsRrJ8DF3XadiPwJ3efAvwp+lhERERERCRv5STBcvcngN2dNl8J/CL6/S+AebmIRUREREREJFuCnIM10t1fA4j+OyLAWERERERERNIW+hsNm9kNwA0A48ePDzgaERHJpvXr17N48eKgwxAREemxIBOsN8xstLu/ZmajgZ3xdnL3O4E7AWbNmuW5DFBERLJv3bp11NbWsmjRIlatWhV0OCIiImkJskTwPuBD0e8/BNwbYCwiIpJDL7/8Ml/72tc46aSTmDp1KjfffDPl5eV8+9vfZsuWLUGHJyIi0mM5GcEys98C5wDDzGw78FXgduD3ZvZ3wFZgQS5iERGR3HN3XnzxRWpra6mtreXFF1/EzJg9ezbf+973mD9/PmPHjg06TBERkbTlJMFy92sTPHVeLj5fRERyz91Zs2YNixYtora2lldeeQUz46yzzuI//uM/mD9/PmPGjAk6TBERkYwK/SIXIiKSP9ydVatWtc+pevXVVykpKeGcc87hn/7pn7jqqqsYNWpU0GGKiIhkjRIsERFJi7uzcuXK9vK/DRs2UFpaypw5c/j85z/PvHnzGDFCd+IQEZHioARLRERS5u48++yz7eV/mzdvplevXpx33nncdNNNXHnllQwbNizoMEVERHJOCZaIiCSltbWVp59+mkWLFrF48WK2bt1KWVkZF1xwAV/5yle48sorGTp0aNBhioiIBEoJloiIJNTa2spf//rX9qSqvr6e3r17M3fuXL72ta9x+eWXM2TIkKDDFBERCQ0lWCIi0kFLSwtPPvkktbW1LF68mNdee40+ffpw0UUX8c1vfpPLLruMwYMHBx2miIhIKCnBEhERmpubeeKJJ6itrWXJkiW88cYb9O3bl0suuYQFCxZw6aWXMnDgwKDDFBERCT0lWCIiRaq5uZnHH3+cRYsWcc8997Br1y769evHpZdeSk1NDZdccgkDBgwIOkwREZG8ogRLRKSINDU18dhjj1FbW8s999zDW2+9Rf/+/bn88supqanh4osvpl+/fkGHKSIikreUYImIFLjDhw/zxz/+kdraWpYuXcqePXsYOHAgl19+OQsWLGDu3LmUl5cHHaaIiEhBUIIlIlKADh06xCOPPEJtbS333nsvb7/9NoMGDeLKK69kwYIFXHDBBfTt2zfoMEVERAqOEiwRkQJx8OBBli1bxqJFi7j//vt55513qKio4KqrrqKmpobzzz+fPn36BB2miIhIQVOCJSKSxw4cOMDDDz9MbW0t999/P/v27WPo0KEsWLCAmpoa5syZQ+/evYMOU0REpGiknGCZ2RBgDNAIbHb31oxHJSIiCe3fv5+HHnqI2tpaHnzwQfbv38+wYcO49tprWbBgAeeccw5lZWVBhykiIlKUkkqwzGww8EngWqA3sAvoC4w0s+XAD939z1mLUkSkyO3bt48HH3yQRYsW8dBDD9HY2MiIESO4/vrrWbBgAWeddRa9eqkoQUREJGjJtsa1wC+B97p7Q+wTZnYqcL2ZVbn7TzMcn4hI0XrnnXd44IEHWLRoEQ8//DAHDx5k1KhRfPSjH6Wmpob3vve9lJaWBh2miIiIxEgqwXL3C7p4biWwMmMRiYgUsYaGBu6//34WLVrEsmXLOHz4MGPGjOGGG26gpqaG97znPUqqREREQizZEsGr3X1xnO29gS+6+9cyHpmISJHYs2cP9957L7W1tTzyyCM0NTUxduxYPvGJT7BgwQLOOOMMSkpKgg5TREREkpBsieANZvb3wCfcfROAmV0MfAd4OFvBiYgUqrfeeoulS5dSW1vLH//4R5qbmzn22GP5p3/6JxYsWMBpp52mpEpERCQPJVsiONfMrgX+aGa/AU4EhgPXuPvqbAYoIlIodu3axdKlS1m0aBGPPfYYLS0tTJw4kc9+9rPU1NQwa9YszCzoMEVERCQNqSw59XvgBOCfgQZgjruvy0ZQIiKF4o033uCee+6htraWxx9/nJaWFiZPnswXvvAFampqmDlzppIqERGRApLsHKwzgR8CTwHjgLOB+83sbuAb7n4oeyGKiOSX1157jSVLllBbW8sTTzxBa2srU6dO5aabbqKmpoaTTjpJSZWIiEiBSnYE67vA37v7M9HHS83sEeCrwGpgWhZiExHJG/X19SxevJja2lqefPJJ3J3jjz+eL3/5yyxYsIATTjhBSZWIiEgRSDbBOt3dW2M3uPsB4Itm9vOMRyUikge2bdvG4sWLWbRoEX/9618BOPHEE7nllluoqanh+OOPDzhCERERybVkF7lo7eK5lzMXjohIuG3evLk9qXr66acBOPnkk/n617/O1VdfzbRpGtAXEREpZqksciEiUpQ2btxIbW0ttbW1PPvsswCccsop3HbbbVx99dVMmTIl4AhFREQkLJRgiYjEsX79ehYtWkRtbS3PPfccAKeddhrf/OY3qampoaqqKuAIRUREJIyUYImIRK1du5ba2loWLVrE6tWRW/ydccYZ/Nu//RtXX301EyZMCDZAERERCb1kl2nfBHhXu0Sf/667fz8TgYmI5MJLL73UnlS98MILALznPe/hO9/5DvPnz2f8+PEBRygiIiL5JNlFLiZmOxARkVxwd1588cX28r+XXnoJM+PMM8/ke9/7HldffTWVlZVBhykiIiJ5SiWCIlLw3J3nn3++Palau3YtJSUlnHXWWXziE59g/vz5jB49OugwRUREpAAowRLJoaV19dyxbC07GhoZU1HOwrlTmTdToyXZ4O7U1dW1l/+tX7+ekpISzj33XD7zmc9w1VVXMXLkyKDDFBERkQITeIJlZpuBvUAL0Ozus4KNSCQ7ltbVc9OSNTQ2tQBQ39DITUvWACjJyhB3Z8WKFe1Lqm/cuJHS0lLmzJnDF77wBebNm8fw4cODDlNEREQKWNIJlpmVAre7+8IsxHGuu7+ZhfcVCY07lq1tT67aNDa1cMeytXETLI12JcfdeeaZZ9rL/7Zs2UKvXr04//zz+dKXvsS8efM45phjgg5TREREikTSCZa7t5jZqWZm7t7VioIiEseOhsakt2u0q2utra0sX76cRYsWsXjxYrZt20ZZWRkXXnght9xyC1deeSVDhgwJOkwREREpQqmWCNYB95rZImB/20Z3X5JGDA48YmYO/Mjd70zjvURCa0xFOfVxkqkxFeVHbUt1tKsYtLS08Ne//pXa2loWL15MfX09vXv3Zu7cuXzjG9/g8ssvp6KiIugwRUREpMilmmANBd4C5sRscyCdBGu2u+8wsxHAo2b2irs/0fakmd0A3ADofjSS1xbOndphVAqgvKyUhXOnHrVvKqNdhaylpYW//OUv7UnV66+/Tp8+fbj44ov51re+xWWXXcagQYOCDlNERESkXUoJlrt/JNMBuPuO6L87zewe4HTgiZjn7wTuBJg1a5ZKEyVvtY08JTOvKpXRrkLT3NzME088waJFi1iyZAk7d+6kvLycSy65hAULFnDJJZcwcODAoMMUERERiSulBMvMqoH/Aka6+4lmdhJwhbt/vScfbmb9gRJ33xv9/kLgX3ryXiL5YN7MyqRK/FIZ7SoETU1NPP744yxatIh77rmHN998k379+nHZZZdRU1PDJZdcQv/+/YMOU0RERKRbqZYI/hhYCPwIwN2fN7PfAD1KsICRwD1m1hbLb9z94R6+l0jBSGW0K18dPnyYxx57jNraWu655x52797NgAEDuPzyy6mpqeGiiy6iX79+QYcpIiIikpJUE6x+7v5MNCFq09zTD3f3jcDJPX29SCFLdrQrnxw6dIg//vGP1NbWcu+997Jnzx4GDhzIFVdcwYIFC7jwwgspLy/8MkgREREpXKkmWG+a2SQiC1tgZjXAaxmPSkQKxsGDB3nkkUeora3lvvvu4+2332bw4MFceeWV1NTUcOGFF9KnT5+gwxQRERHJiFQTrE8SWXBimpnVA5uA6zIelYjktcbGRpYtW8aiRYu4//772bt3L0OGDGH+/PnU1NRw/vnn07t376DDFBEREcm4VFcR3AicH7s4RXbCEpF8c+DAAf7whz9QW1vLAw88wL59+zjmmGO45pprqKmpYc6cOZSVlQUdpoiIiEhWJZVgmdlnE2wHwN2/ncGYRCRP7N+/nwcffJDa2loefPBBDhw4wLBhw/jABz7AggULOPvss5VUiYiISFFJdgSr7aYzU4HTgPuijy8n5p5VIlL49u7dy4MPPsiiRYv4wx/+QGNjIyNHjuRDH/oQNTU1nHXWWfTqlWr1sYiIiEhhSOoqyN1vBTCzR4BT2koDzewWYFHWohORUHj77bd54IEHWLRoEQ8//DCHDh1i9OjR/N3f/R01NTWceeaZlJaWBh2miIiISOBS7WYeDxyOeXwYmJCxaEQkNBoaGrjvvvtYtGgRjzzyCIcPH6ayspKPfexjLFiwgPe85z2UlJQEHaaIiIhIqKSaYP0KeMbM7iGyVPtVwC8yHpWIBGL37t3ce++91NbW8uijj9LU1MS4ceP45Cc/yYIFC3jXu97Vo6RqaV19Qd80WURERKRN0gmWRVa0+CXwB+C90c0fcfe6bAQmIrnx5ptvsnTpUmpra/nTn/5Ec3MzEyZM4NOf/jQLFizgtNNOo9PNxVOytK6em5asobGpBYD6hkZuWrIGQEmWiIiIFJykEyx3dzNb6u6nAs9lMSYRybKdO3eydOlSFi1axJ///GdaWlqoqqric5/7HDU1NZx66qlpJVWx7li2tj25atPY1MIdy9YqwRIREZGCk2qJ4HIzO83dn81KNCI5kG65Wr6Wu73++uvcc8891NbW8vjjj9Pa2sqUKVP44he/SE1NDTNmzMhYUhVrR0NjSttFRERE8lmqCda5wMfMbAuwHzAig1snZTwykSxIt1wt38rdduzYwZIlS6itreWJJ57A3Zk6dSpf+tKXWLBgAdOnT89KUhVrTEU59XGSqTEV5Vn9XBEREZEgpJpgXZyVKERyJN1ytXwod9u+fTuLFy+mtraWp556CnfnhBNO4Ctf+QoLFizg+OOPz3pSFWvh3KkdklKA8rJSFs6dmrMYRERERHIl1QTLsxKFFKUgSu3SLVcLa7nb1q1bWbx4MYsWLeJvf/sbANOnT+fWW2+lpqaG4447LrDY2n6n+VhWKSIiIpKqVBOsB4kkWQb0BSYCa4ETMhyXFLigSu3SLVcLU7nbpk2b2keqnn76aQBmzJjBN77xDa6++mqmTg3PCNG8mZVKqERERKQopJRgufv02MdmdgrwsYxGJEUhF6V28UbI0i1XC7rcbcOGDdTW1lJbW8uKFSsAOPXUU7ntttuoqalh8uTJOYlDREREROJLdQSrA3d/zsxOy1QwUjyyXWqXaITstvnTuW3+9B6XqwVR7vbqq6+yaNEiamtrqauL3Hbu9NNP51vf+hY1NTVMnDgxa58tIiIiIqlJKcEys8/GPCwBTgF2ZTQiKQrZLrXraoTsqRvnpJUQ5aLc7ZVXXqG2tpZFixbx/PPPA3DGGWfw7//+71x99dUce+yxWf18EREREemZVEewBsZ830xkTtbizIUjxSLbpXZhXYyiKy+++GJ7UvXiiy8CMHv2bL773e8yf/58xo0bF3CEIiIiItKdVOdg3ZqtQKS4ZLvULkyLUSTi7rzwwgvt5X8vv/wyZsZ73/tevv/97zN//nwqKxP/PPL1hsciIiIihSzVEsFZwM3AsbGv1Y2GpSeyWWoX9GIUibg7q1evbk+q1q1bR0lJCWeffTaf+tSnuOqqqxg9enS375NvNzwWERERKRaplgjeBSwE1gCtmQ9HJDPCdO8ld+e5555rX/1v/fr1lJaWcu655/LZz36WefPmMXLkyC7fo/No1f5DzaG/4bGIiIhIMUo1wdrl7vdlJRKRFHVXIhfkvZfcnWeffbY9qdq0aROlpaWcd955fPGLX+TKK69k+PDhSb1XvNGqRMI8x0xERESkGKSaYH3VzH4C/Ak41LbR3ZdkNCqRboSxRK61tZVnnnmmvfxv69at9OrViwsuuIAvf/nLXHnllRxzzDEpv2+8FRETCdMcMxEREZFilGqC9RFgGlDGkRJBB5RgSU719EbFmV4YorW1lb/97W8sWrSIxYsXs337dnr37s2FF17Iv/zLv3DFFVcwZMiQHr8/JD8qFYY5ZiIiIiLFLtUE62R3n56VSERS0N0y7PESKaDHo16x7zd6UG8uHfEObzz/vyxevJgdO3bQp08f5s6dy2233cbll1/O4MGDM3WoCVdEHNKvjH69ewU+x0xEREREjkg1wVpuZse7+0tZiUYKXqZGkLpahj1R+WCfXiUJR70g8YIYS+vqubF2FQ0bn2f/2qfYtu6v/G3/Hnr36cOll1zCggULuPTSSxk0aFDKx5GMRCsifvXyE5RQiYiIiISMuXvyO5u9DEwCNhGZg2WA52qZ9lmzZvmKFSty8VGSBZ0TH4gkCrfNn55yotDVe92xbG2XC0HEU15WetR7ff2K46h4Zz0f/NJ32fXCk7QeaMB69aF80iz6TZ3NpFPOYvlXL+0yxkyVI+qeV1JszGylu88KOg4REZFUpTqCdVFWopCikOy8qWSSia6WYf/nu1elFFepWXtc3tLMwa3P89YrT/L+by+n+cA7WFlfyiedRr+psymvmkVJ774AvNFFDpfpRTiCXBFRRERERJKXVIJlZgPcfZ+7b+lun8yFJoWmu3lTED8x+ee7V/GZu1dR2SnZSpR0dDVn6WBT61EjVQcOHuTg5tXsX/sUja8up/XgXqx3Of0mnc7vv/FpvrmmD68fOHqkt6sV+3q6CIeIiIiI5LdkR7DuNbNVwL3ASnffD2BmVcC5wPuAHwO12QhSCkNX86baxEtM2lKbZEeBupqz1PYZ9W++Q/muFxm9ZzVPPPoHWg7uw3r3o9+Ud9Fv6pmUT5zJ2GGDueqqOdiE+OWIXa3Yl0wyKSIiIiKFJ6kEy93PM7NLgI8Bs81sKNAErAUeBD7k7q9nL0wpBIkSn9hEpbu5U8mMAiUqH7zouGN45JFHqHpxES/cdx9b3nmH1ysqOOuCi3m13wmUjD0Z61V2VFxdlSMmkkwyKSIiIiKFJ6VFLrISgNlFwPeAUuAn7n57on21yEUwsrlYw7nThvPnV3axo6GRweVlNDQ2dfseBmy6PfHiErEaGxu59Yd38dNf/Za3Xv4bfriRAYMG876aq6mpqeG8886jd+/eGV9EIpMLeogUIy1yISIi+SrVVQQN+CAw0d2/ZmbjgVHu/kyPPtysFFgHXABsB54Frk20DLwSrNzLZqIQ772TUVlRzlM3zkn4/IEDB3jooYeora3l3vvu52DjAUrKB9Fvyhn0m3YmQybN5PYFM7Oe6GjlP5GeU4IlIiL5KtVVBH8ItAJzgK8Be4HFwGk9/PzTgfXuvhHAzH4HXAnoPlshkc3FGuK9d3cSzX3at28fDz74ILW1tTz00EMcOHCA4cOHM3j6HAZNPIO+46djJaUAHGyFz/1+NdCzFf2SpZX/RERERIpPSYr7v8vdPwkcBHD3PUDvND6/EtgW83h7dJuERKJFGeobGpl9+2MsravP+Ht3VmqGERm5ih0527t3L7/97W+ZP38+w4cP5/3vfz9/+ctf+PCHP8xjjz3Ga6+9Rvm5H6d8woz25KpNizufuXsVM259JK1jEBERERGJleoIVlO0rM8BzGw4kRGtnrI42zrULJrZDcANAOPHj0/jo6QnEi3WAOnf26mr927TuRzx7bff5te//jWLFi1i2bJlHDp0iDFjxvB//+//paamhtmzZ1NaeiSZ6u4zGhqb0joGEREREZFYqY5gfR+4BxhhZt8AngT+NY3P3w6Mi3k8FtgRu4O73+nus9x91vDhw9P4KOmJhXOnUl5WmvD5tnLBnjh3WvzfZ//epR1GrM6e0I9f/OIXXHbZZYwYMYLrr7+elStX8vGPf5wnn3ySbdu28f3vf5+zzjqrQ3KVTPzpHoP8//buPTrK+s7j+OebG0kQCBQRg4JULiJeQCNaIixel3pZQJNVt7X1WN0erevpWtfDrniptqe62q2uejxVj62ul91m0KjIAkWWo8FLAQURIaAroiEKWoOFCZvbd//IEwxhZpJJJplL3q9zcnhmnmee+c5jmMPH3/f5/QAAANBeXCNY7v60ma2VdJZaR5/muvumHrz/aknjzWyspBpJl0r6ux6cDwnWforyaCNB3V3b6X8274r4fFFhnl776RRVVlbqkZvv1d8uX67GxkaNHj1a1113ncrLyzVt2jRlZXX+/wfa6v/ZH9arOcaELqxPBQAAgESIt0VQ7r5Z0uZEvLm7N5nZdZKWqnWa9sfdfWMizo3EaZusofSuFQld26ljqGkO71Z4yxt6u3qVDrtlg5qamjSi+Egd+p158jGnatSkEzVj9jE6Lc5WvraQFWvGQtanAgAAQCLEHbASzd0XS1qc7DrQuc4WCo40LbkUfYHe4qICba+pVXjrGwpvrtK+7Rskb1H+sGLdeOON2jl8il7ZOVCy1lv1duze1+37pdqO//lLG/VV+MC1tqLNTAgAAADEK+kLDceDdbCSL9raTpHWtMrNMsmkxuZvfscKcrN108zDVL/1DT38u6f13to3JW9RztBiFR5zuoZNnql/u2aOzEz/+F/rFOm3s7N1sLr7GQCkDtbBAgCkKwIWEmLKz5eprr4x6v6mv3yp8JbXFa5epf/7dKPkrmOOOUbHz/hrbSk8TnUDRmrU0ML9YSdaO6LUevPfR3edn5C6CVtAaiJgAQDSVdJbBJH+Kt+piRiumr7epXB1EKpqWteOzh0+WkXTL1PVb/9FkydP3v/6tpDTNptfrEknEnW/VMdRt55OO58shEQAAIDUQcBCj7Wf4rxp906Fq1dpb3WVGna0Pp976FEaMuP7GjihVLnDj9SoooIDwlWkkDOkIDdiaDMpYfdL3bO0+qBJL9qmbE+XgJIpIREAACBTELDQYx9v+0h7q1cpXL1KDbVbJEl5hx2topk/0OBJp8uKivcf23FCiWghJz83SwW52QfsM0nfO210woJDtFGydJqyPRNCIgAAQCYhYKFbHn6hSnc9/IQ+W79SDZ99IEnKGzleRX91hQonlip36OEamJetX847Pmb7WrQwUxdu1G8umdKrrW/FRQUJnXa+O3ra3pcJIREAACCTELDQZVu2bFEoFNJjTz6jj6pblyvLO3yiimZdqcKJ05VbNPKA4xuaWiQp5ox/sUJO+0WO29+fFSuAxBNYOpt2vrclor0vFUIiAAAAvkHAQkybNm1SKBRSRUWFNmxo/cf/oNHHauiZV6lw4nTlDB4R9bWNLd5pq1qskBNvAIn3+I4Brq8niEhEe1+yQyIAAAAORMDCAdxdGzdu3B+q3n//fZmZSktLdd999+niiy/WjAfXR1yfKpLOWtVihZypdyyLK4B0J7DMnToqafcqJaK9L9khEQAAAAciYEHurg0bNqiiokKhUEibN2+WmWnmzJl64IEHdNFFF6m4+JuJKoqLtkRdo6qjrrSqRQo5le/U6Ktw5HW14g0mqXo/UqLa+5IZEgEAAHAgAlY/5e5at27d/pGqrVu3KisrS7NmzdL111+vefPmaeTIkRFfG6ktLZKetKq1n/q9o2gBJN3uR6K9DwAAIPMQsPoRd9fatWsVCoUUCoX04YcfKjs7W2eccYZuvPFGbcqboBerw7r7Y9e997+ty049Ur+Ye/xB52nfllZTVy+TDmoZHFqYq9sunNztkZVYo07RAki6BRba+wAAADIPASvDubtWr169v/1v27ZtysnJ0VlnnaX58+dr7ty5Gj58uBZUbtDzb27f/7pmdz0VPI4WsuZOHaXSu1ZEHDUqzMvpUVCINhpVVJAb834qKb0CC+19AAAAmYWAlYFaWlr01ltvqaKiQgsXLtT27duVm5urc845R7feeqvmzJmjYcOGqfKdGs157F3tqKuPOmnFs299EjFgtemt+56ijUbd/jeTY76uLwJLT9euAgAAQOYiYGWIlpYWvf766/tDVU1NjfLy8nTuuefqzjvv1IUXXqihQ4fuP77jlObRNHvs+QJ7676nVB2NSsTaVQAAAMhcBKwU1ZVRkubmZlVVVSkUCmnhwoWqra3VgAEDNHv2bN1999264IILNGTIkIjnjzSleSTZZjH39+Z9T6nYPpeItasAAACQuQhYKSjWKElzU5NueySk7WtXaN/WN9S45yvl5+frvPPOU3l5uc4//3wNGjSo0/foagvfZaceGXN/qo409ZZ0mwoeAAAAfYuAlYI6jpJ4S7P+vHWdrrr6AdVtWqXm8G5Z7gAVfPsUHTp5hu694QpdVjohrveI1trXJtss6iyCHaXiSFNvSbep4AEAANC3CFgpaEddvby5Sfs+Xq9w9SqFt76plvqvZbn5Khg3TYUTS1Uw9mRl5eVLkh587dO4A1a01r5fXXR8vwlL3ZFuU8EDAACgbxGwkiDa/VUNDQ1avny5wssf1Bcbq9Syb48sr0AF46Zp4MTTlT/2JGXlDjjofN1pT+tvrX2JwnUDAABALOadzBKXSkpKSnzNmjXJLqNHOt5f5U2Nav5kncaHN+qd1/6o3bt3q/CQQcoZO00Dxk9Xwdipspw8FeRma0BOlurqGw8656iiAq2af2ZffxQA6DVmttbdS5JdBwAA8WIEq4/ds7Rae8Nh7dv2jsKbqxT+4E/yhrA+yz9El19aprKyMp199tn67/e/OGiURBLtaQAAAEAKI2D1kXA4rCVLlmj9k/cr/OFqeUO9svIHaeAxp7feUzXmBP3unrn7j481cURvtaexgC4AAADQMwSsXrR3714tXrxYoVBIL7/8svbu3aucgUM0cNJMFU48Xfmjj5dlt/4nGNXFWeh6a8Y+FtAFAAAAeq5fBay+GKHZs2ePFi1apFAopMWLF6u+vl4jRozQ5ZdfrrKyMtUNHqcFL25KuTY/FtAFAAAAeq7fBKzeHKH5+uuvtWjRIlVUVGjJkiXat2+fRo4cqSuvvFJlZWWaMWOGsrOz9x+fnZOTcq14LKALAAAA9Fy/CViJHqGpq6vTSy+9pIqKCi1dulQNDQ0qLi7W1VdfrfLyck2fPv2AUNVeKi7MywK6AAAAQM/1m4CViBGar776Si+88IJCoZCWLVumxsZGHXHEEbr22mtVXl6u0047TVlZWYkquU+xgC4AAADQc/0mYHV3hObLL79UZWWlQqGQli9frqamJo0ZM0bXX3+9ysvLdcopp6RtqGqPBXQBAACAnus3ASueEZpdu3apsrJSFRUVWrFihZqbmzV27FjdcMMNKisrU0lJicysL8vvE6nYuggAAACkk34TsDobofn888/1/PPPKxQKaeXKlWpubta4ceN00003qaysTFOnTs3IUAUAAAAgcczdk11Dl5WUlPiaNWsSdr7a2lo999xzCoVCevXVV9XS0qIJEyaovLxc5eXlOuGEEwhVAJAEZrbW3UuSXQcAAPHqNyNYbWpqarRw4UKFQiFVVVXJ3TVp0iQtWLBAZWVlOu644whVAAAAALolrUawzGyXpI+TXUcvGS7pi2QXkaa4dj3D9es+rl33dXbtxrj7oX1VDAAAiZJWASuTmdka2mG6h2vXM1y/7uPadR/XDgCQqdJ/fnEAAAAASBEELAAAAABIEAJW6ngk2QWkMa5dz3D9uo9r131cOwBARuIeLAAAAABIEEawAAAAACBBCFgpxMxuN7MaM1sX/JyX7JpSnZnNNrNqM/vAzOYnu550YmbbzGxD8LuWuBW8M5CZPW5mO83svXbPDTOzP5rZ1uDPocmsMVVFuXZ81wEAMhYBK/X8xt2nBD+Lk11MKjOzbEkPSfqupGMlXWZmxya3qrRzRvC7xnTZsf1e0uwOz82X9Iq7j5f0SvAYB/u9Dr52Et91AIAMRcBCOpsm6QN3/193b5D0n5LmJLkmZCB3f1XSnzs8PUfSE8H2E5Lm9mVN6SLKtQMAIGMRsFLPdWb2btBWQ8tRbKMkfdLu8afBc+gal7TMzNaa2d8nu5g0dJi710pS8OeIJNeTbviuAwBkJAJWHzOz5Wb2XoSfOZIelnS0pCmSaiX9Opm1pgGL8BzTYnZdqbufpNYWy5+Y2cxkF4R+g+86AEDGykl2Af2Nu5/dlePM7FFJi3q5nHT3qaQj2z0+QtKOJNWSdtx9R/DnTjN7Xq0tl68mt6q08rmZHe7utWZ2uKSdyS4oXbj7523bfNcBADINI1gpJPhHWpt5kt6LdiwkSasljTezsWaWJ+lSSS8muaa0YGYDzWxQ27akc8XvW7xelPTDYPuHkl5IYi1phe86AEAmYwQrtfyrmU1Ra5vbNkk/Tmo1Kc7dm8zsOklLJWVLetzdNya5rHRxmKTnzUxq/R54xt2XJLek1GVmz0qaJWm4mX0q6TZJd0n6g5n9SNJ2SeXJqzB1Rbl2s/iuAwBkKnPnlhUAAAAASARaBAEAAAAgQQhYAAAAAJAgBCwAAAAASBACFgAAAAAkCAELAAAAABKEgAUAAAAACULAAhLAWq0ws8ExjnnMzI7t5vmPMrO4FmM1s5VmdlSE5//dzG5p9/hmM3so2L7XzM7sTo0AAABgoWEgUc6TtN7dv452gLtf1Yf1xLJA0joze1qtC71eJWlqsO8BSY9KWpGk2gAAANIaI1hAHMzs+2b2JzNbZ2a/NbPsYNf3JL0QHDPQzF42s/Vm9p6ZXRI8v9LMSoLtPWb2y+CYN83ssOD5o4PHq83sDjPbE6GGbDO7JzjmXTP7cTyfIQiBN0t6UNJDkm5197pg38eSvmVmI7tzfQAAAPo7AhbQRWY2SdIlkkrdfYqkZrUGK0kqlbQ22J4taYe7n+jux0laEuF0AyW96e4nSnpV0tXB8/dLut/dT5G0I0opP5K0OzjmFElXm9nYeD6Luz8raaikwe7+Hx12vx18HgAAAMSJgAV03VmSTpa02szWBY+/Hewb5u5/CbY3SDrbzO42sxnuvjvCuRokLQq210o6Ktj+jqSKYPuZKHWcK+kHQQ1vSfqWpPHxfBAzO0LSSEnFZnZIh907JRXHcz4AAAC04h4soOtM0hPu/s8R9jWZWZa7t7j7FjM7Wa33Zf3KzJa5+x0djm90dw+2mxXf30WT9A/uvjTuT/CN+yXdLmmSpNsk/VO7ffmS6ntwbgAAgH6LESyg616RVGZmIyTJzIaZ2ZhgX7WC0SwzK5YUdvenJN0r6aQ43uNNSRcH25dGOWappGvMLDd4vwlmNrCrb2Bm35U0QtKTku6UNK/D7IYTJMU1YyEAAABaMYIFdJG7v29mCyQtM7MsSY2SfiLpY0kvS5ol6QNJx0u6x8xagmOuieNtfirpKTP7WXDOSO2Fj6m1pfBtMzNJuyTN7crJzSxf0n2SyoIRtL1mdpNaJ7w4Mwht4yStiaNmAAAABOybLiUA3WVmh0t60t3P6eF5CiXVu7ub2aWSLnP3Od0810pJV7j7tjheM0/SSe5+S6cHAwAA4CCMYAEJ4O61ZvaomQ2OtRZWF5ws6cFgZKpO0pUJKbDrciT9uo/fEwAAIGMwggVkKDO7QlJl2xpXAAAA6H0ELAAAAABIEGYRBAAAAIAEIWABAAAAQIIQsAAAAAAgQQhYAAAAAJAgBCwAAAAASJD/B/ZACrAqtHftAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress_grid(crime_model, fig=fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress(\"murder\", \"hs_grad\", [\"urban\", \"poverty\", \"single\"],  ax=ax, data=dta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Leverage-Resid<sup>2</sup> Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Closely related to the influence_plot is the leverage-resid<sup>2</sup> plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "fig = sm.graphics.plot_leverage_resid2(crime_model, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Influence Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "fig = sm.graphics.influence_plot(crime_model, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using robust regression to correct for outliers."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Part of the problem here in recreating the Stata results is that M-estimators are not robust to leverage points. MM-estimators should do better with this examples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from statsmodels.formula.api import rlm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                    Robust linear Model Regression Results                    \n",
      "==============================================================================\n",
      "Dep. Variable:                 murder   No. Observations:                   51\n",
      "Model:                            RLM   Df Residuals:                       46\n",
      "Method:                          IRLS   Df Model:                            4\n",
      "Norm:                   TukeyBiweight                                         \n",
      "Scale Est.:                       mad                                         \n",
      "Cov Type:                          H1                                         \n",
      "Date:                Sun, 16 Aug 2020                                         \n",
      "Time:                        18:00:44                                         \n",
      "No. Iterations:                    50                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept     -4.2986      9.494     -0.453      0.651     -22.907      14.310\n",
      "urban          0.0029      0.012      0.241      0.809      -0.021       0.027\n",
      "poverty        0.2753      0.110      2.499      0.012       0.059       0.491\n",
      "hs_grad       -0.0302      0.092     -0.328      0.743      -0.211       0.150\n",
      "single         0.2902      0.055      5.253      0.000       0.182       0.398\n",
      "==============================================================================\n",
      "\n",
      "If the model instance has been used for another fit with different fit parameters, then the fit options might not be the correct ones anymore .\n"
     ]
    }
   ],
   "source": [
    "rob_crime_model = rlm(\"murder ~ urban + poverty + hs_grad + single\", data=dta, \n",
    "                      M=sm.robust.norms.TukeyBiweight(3)).fit(conv=\"weights\")\n",
    "print(rob_crime_model.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#rob_crime_model = rlm(\"murder ~ pctmetro + poverty + pcths + single\", data=dta, M=sm.robust.norms.TukeyBiweight()).fit(conv=\"weights\")\n",
    "#print(rob_crime_model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is not yet an influence diagnostics method as part of RLM, but we can recreate them. (This depends on the status of [issue #888](https://github.com/statsmodels/statsmodels/issues/808))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "weights = rob_crime_model.weights\n",
    "idx = weights > 0\n",
    "X = rob_crime_model.model.exog[idx.values]\n",
    "ww = weights[idx] / weights[idx].mean()\n",
    "hat_matrix_diag = ww*(X*np.linalg.pinv(X).T).sum(1)\n",
    "resid = rob_crime_model.resid\n",
    "resid2 = resid**2\n",
    "resid2 /= resid2.sum()\n",
    "nobs = int(idx.sum())\n",
    "hm = hat_matrix_diag.mean()\n",
    "rm = resid2.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EEKKUkmRfCCGEEEKIUkqSfSGEEEIIIUopSfaFEEIIIYQopSTZF0IIIYQQopSSZF8IIYQQQohSSpJ9IYQQQgghSilJ9oUQQgghhCilJNkXQgghhBCilJJkXwghhBBCiFJKkn0hhBBCCCFKKUn2hRBCCCGEKKUk2RdCCCGEEKKUkmS/lFq8eDEtW7a86/avvfYaH3zwwX2vK4QQQgghHhxJ9u/QxIkTadu2rVFZ1apVCy379ttv7/o8mqZx+vTpQvft2rULKysr0tPTb9lXr149pk+fTo8ePfj555/v+vwzZ87k/fffv+91hRBCCCHEgyPJ/h0KDAzk119/JT8/H4CLFy+Sm5vLgQMHjMpOnz5NYGBgscTg5+dHhQoV+P77743Kjx49yrFjx+jWrdu/ts/LyyuWuIQQQgghxMNFkv071LBhQ3Jzczl06BAA27Zto1mzZlSrVs2orHLlyri7u5OamsrLL7+Mm5sbHh4ejBkzRv9ScPr0aYKCgrCzs8PJyYmuXbsC6F8S6tSpg7W1NcuWLbsljj59+hAeHm5UFh4eTkhICI6OjsyfP5+mTZvq+zRN46uvvqJq1apUrVoVgE8//RQ3Nzfc3d2ZO3eu0a8Jffv2ZcyYMQBs3bqVChUqMGXKFMqXL4+bmxvz5s3Tj31z3eTkZNq1a4ezszMODg60a9eO8+fP39M9F0IIIYQQd0eS/TtUpkwZGjVqxLZt24DriX1AQABNmzY1KruRsPfp0wdTU1NOnz7NwYMH+fnnn5k7dy4A77//Pi1btiQ5OZnz58/z5ptv6u0BDh8+TEZGhv4l4Ga9evVi+/btxMTEAFBQUMCSJUvo3bv3bWNfuXIle/bs4dixY/z0009MnTqVTZs2cfr0aSIjI//1ui9evEhqaipxcXF88803vPHGGyQnJ99Sr6CggH79+hEdHU1MTAwWFhYMGjToX48thBBCCCGKhyT7dyEoKEhPyLdv305AQAABAQFGZUFBQVy6dIn169fz+eefY2VlRfny5XnnnXf0sfxmZmZER0cTHx9P2bJljXri/4unpydBQUEsWrQIgM2bN3Pt2jVCQkJu22bkyJGUK1cOCwsLli9fTr9+/ahZsyaWlpaMGzfuX89nZmbG2LFjMTMzo23btlhbWxMVFXVLPUdHRzp37oylpSU2NjaMHj36P79ICCGEEEKI4iHJ/l0IDAxkx44dJCcnc/nyZapWrUqTJk3YuXMnycnJHD16lMDAQKKjo8nNzcXNzQ17e3vs7e0ZMGAACQkJwPVhNEopnn76aWrWrMn//d//3VEcNw/lWbhwId27d8fMzOy29T09PfX38fHxRts3vy+Mo6Mjpqam+ralpSUZGRm31Lt69SoDBgzAy8sLW1tbAgMDSUlJ0YcuCSGEEEKIB8f0v6uIf/Lz8yM1NZXZs2fj7+8PgK2tLe7u7syePRt3d3d8fHwoW7Ys5ubmJCYmGiXKN7i6ujJnzhwAduzYQfPmzQkMDKRKlSpFiqNTp04MHDiQLVu28MMPP7B169Z/ra9pmv7ezc3NaCx9bGxskc75X6ZMmUJUVBR79uzB1dWVQ4cOUa9ePZRS9+X4QgghhBCi6KRn/y5YWFjg6+vL1KlTCQgI0MubNm3K1KlT9fH6bm5utGzZkiFDhpCWlkZBQQF//vmnPqzlu+++0xNuBwcHNE3DYDAA4OLiwpkzZ/41DisrK7p06UK/fv3w8vLC19e3yNcQGhrKvHnzOH78OFevXmXChAl3dA9uJz09HQsLC+zt7bly5Qrjx4+/L8cVQgghhBB3TpL9uxQUFERCQoLROPuAgAASEhKMptwMDw8nJyeHGjVq4ODgQJcuXbhw4QIA+/bto1GjRlhbW9OhQwe++OILfHx8AAgLC6NPnz7Y29uzfPny28bRp08foqOj//XB3MK0adOGt956i2bNmlGlShX8/PwAMDc3v6Pj/NPgwYPJysrCycmJxo0b07p163s6nhBCCCGEuHtaaRpe4evrq/bv31/SYTySjh8/zlNPPUV2dnahQ46EEA+HrrN2AbBsgF8JRyKEEI8vTdN+U0oVfUhFCZKe/cfYjz/+SE5ODsnJyQwfPpz27dtLoi+EEEIIUYoUa7KvaVprTdOiNE07rWnaiEL299A07fe/Xjs1TatT1LYPg5UH4/Cf9As+I9biP+kXVh6MK+mQ7sisWbNwdnamcuXKGAwGZsyYUdIhCSGEEEKI+6jYunE1TTMAXwEtgPPAPk3TViuljt1U7SwQpJRK1jStDTAbaFTEtiVq5cE4Rv5whKzc61NKxqVkMfKHIwB0rOdRkqEV2U8//VTSIQghhBBCiGJUnD37TwOnlVJnlFI5wLfAczdXUErtVErdWIZ1N1ChqG1L2mcbovRE/4as3Hw+23DrQlNCCCGEEEKUhOJM9j2AmydvP/9X2e28DKy/y7YPXHxK1h2VCyGEEEII8aAVZ7KvFVJW6NQ/mqY143qyP/wu2r6qadp+TdP2X758+a4CvRvu9hZ3VC6EEEIIIcSDVpzJ/nnA86btCkD8PytpmlYbmAs8p5RKupO2AEqp2UopX6WUr7Oz830JvCiGtaqGhZnBqMzCzMCwVtUeWAxCCCGEEEL8m+JM9vcBVTVN89E0rQzwIrD65gqaplUEfgB6KaVO3knbktaxngcTO9XCw94CDfCwt2Bip1qPzMO5QgghhBCi9Cu22XiUUnmapg0CNgAG4P+UUn9omvbaX/tnAmMBR+BrTdMA8v7qpS+0bXHFerc61vOQ5F4IIYQQQjy0inUFJaXUOmDdP8pm3vT+FeCVorYVQgghhBBCFJ2soCuEEEIIIUQpJcm+EEIIIYQQpZQk+0IIIYQQQpRSkuwLIYQQQghRSkmyL4QQQgghRCklyb4QQgghhBCllCT7QgghhBBClFKS7AshhBBCCFFKSbIvhBBCCCFEKSXJvhBCCCGEEKWUJPtCCCGEEEKUUpLsi2IVExODtbU1+fn5JR2KEEIIIcRjR5L9UmTixIm0bdvWqKxq1aqFln377bcPJKaKFSuSkZGBwWB4IOcTQgghhBB/k2S/FAkMDOTXX3/Ve9EvXrxIbm4uBw4cMCo7ffo0gYGBJRmqEEIIIYR4ACTZL0UaNmxIbm4uhw4dAmDbtm00a9aMatWqGZVVrlyZli1bEhERobfNzc3FyclJr7d69Wpq1qyJvb09wcHBHD9+XK/r7e3NZ599Ru3atbGysuLll1/m0qVLtGnTBhsbG5o3b05ycjIA586dQ9M08vLyAAgODub999/H398fGxsbWrZsSWJion7s8PBwvLy8cHR05IMPPsDb25tNmzYV410TQgghhCi9JNkvRcqUKUOjRo3Ytm0bcD2xDwgIoGnTpkZlgYGB9O7dm0WLFult161bh5ubG3Xr1uXkyZN069aNzz//nMuXL9O2bVvat29PTk6OXv/7779n48aNnDx5koiICNq0acPHH39MYmIiBQUFTJs27bZxLlmyhHnz5pGQkEBOTg6TJ08G4NixYwwcOJDFixdz4cIFUlNTiYuLK45bJYQQQgjxWJBkv5QJCgrSE/vt27cTEBBAQECAUVlQUBA9e/Zk3bp1pKWlAbBw4UJ69eoFwLJlywgJCaFFixaYmZkxdOhQsrKy2Llzp36eN998ExcXFzw8PAgICKBRo0bUq1cPc3Nznn/+eQ4ePHjbGPv168cTTzyBhYUFoaGh+q8JK1asoH379jRt2pQyZcowYcIENE0rjtskhBBCCPFYkGS/lAkMDGTHjh0kJydz+fJlqlatSpMmTdi5cyfJyckcPXqUwMBA3N3d8ff35/vvvyclJYX169fTo0cPAOLj4/Hy8tKPaWJigqenp1Evu4uLi/7ewsLilu2MjIzbxujq6qq/t7S01OvGx8fj6elptM/R0fEe7oYQQgghxOPNtKQDEPeXn58fqampzJ49G39/fwBsbW1xd3dn9uzZuLu74+PjA0CfPn2YO3cueXl5+Pn54eHhAYC7uztHjhzRj6mUIjY2Vt9fXNzc3IiKitK3s7KySEpKKtZzCiGEEEKUZtKzX8pYWFjg6+vL1KlTCQgI0MubNm3K1KlTjWbh6dixIwcOHOCLL76gd+/eenloaChr165l8+bN5ObmMmXKFMzNzWnSpEmxxt6lSxciIiLYuXMnOTk5jBs3DqVUsZ5TCCGEEKI0k2S/FAoKCiIhIYGmTZvqZQEBASQkJBgl+xYWFnTu3JmzZ8/SqVMnvbxatWosWrSIN998EycnJyIiIoiIiKBMmTLFGnfNmjX58ssvefHFF3Fzc8PGxoby5ctjbm5erOcVQgghhCittNLUc+rr66v2799f0mE8UiZMmMDJkyeNZuZ5WGRkZGBvb8+pU6f0oUdCPO66ztoFwLIBfiUciRBCPL40TftNKeVb0nEUhfTsP8auXLnCN998w6uvvlrSoegiIiK4evUqmZmZDB06lFq1auHt7V3SYQkhhBBCPJIk2S+lVh6Mw3/SL/iMWIv/pF9YedB4vvo5c+bg6elJmzZtHqrVdFetWoW7uzvu7u6cOnWKb7/9VqbfFEIIIYS4SzKMpxRaeTCOkT8cISs3Xy+zMDMwsVMtOtYr3hl1hBDFS4bxCCFEyZNhPKJEfbYhyijRB8jKzeezDVG3aSGEEEIIIUojSfZLofiUrDsqF0IIIYQQpZMk+6WQu73FHZULIYQQQojSSZL9UmhYq2pYmBmMyizMDAxrVa2EIhJCCCGEECXBtKQDEPdfx3oedPN/gpz8ApQClZdNmTJl6Pm/6x/3rFmz6NGjRwlHKYQQQgghipsk+6VU1tVM/b23tzdz586lefPmJRiREEIIIYR40GQYz2OmoKCASZMmUblyZRwdHQkNDeXKlSsAvP7663Tp0kWvO3z4cJ599lmUUiQnJ9OuXTucnZ1xcHCgXbt2nD9/Xq87f/58KlWqhI2NDT4+PixevPiBX5sQQgghhDAmyf5jZtq0aaxcuZLIyEji4+NxcHDgjTfeAGDKlCn8/vvvzJ8/n+3bt/PNN9+wYMECNE2joKCAfv36ER0dTUxMDBYWFgwaNAiAzMxM3nrrLdavX096ejo7d+6kbt26JXiVQgghhBACZBjPY2fWrFlMnz6dChUqABAWFkbFihVZuHAhlpaWLFq0iNatW2NjY8OXX36p13N0dKRz5876cUaPHk2zZs30bRMTE44ePUrFihVxc3PDzc3twV6YEEIIIYS4hfTsP2aio6N5/vnnsbe3x97enieffBKDwcClS5cAePrpp6lUqRJKKUJDQ/V2V69eZcCAAXh5eWFra0tgYCApKSnk5+djZWXFsmXLmDlzJm5uboSEhHDixImSukQhhBBCCPEXSfYfM56enqxfv56UlBT9de3aNTw8PAD46quvyM7Oxt3dnU8//VRvN2XKFKKiotizZw9paWls27YNAKUUAK1atWLjxo1cuHCB6tWr079//wd/cUIIIYQQwogk+4+Z1157jdGjRxMdHQ3A5cuXWbVqFQAnT55kzJgxLFq0iIULF/Lpp59y6NAhANLT07GwsMDe3p4rV64wfvx4/ZiXLl1i9erVZGZmYm5ujrW1NQaD4ZZzCyGEEEKIB0uS/cfM22+/TYcOHWjZsiU2NjY0btyYPXv2kJeXR8+ePRk+fDh16tShatWqfPzxxwQEBDBq1CgGDx5MVlYWTk5ONG7cGFdXVwDy8vIoKChgypQpuLu7U65cOSIjI/n6669L9DqDg4OZO3duicYghBBCCFHStBvDMEoDX19ftX///pIOo1RZunQpo0aN4syZM2iappd36dIFLy8vpkyZUqTj5OXlYWr64J4HDw4OpmfPnrzyyisP7JxCPAhdZ+0CYNkAvxKORAghHl+apv2mlPIt6TiKQnr2xb/q2LEjV65cYfv27XpZcnIya9asoXfv3reds//cuXNomka7du2oWLEizzzzDPPnz8ff35933nkHe3t7TExM+O6775g/fz6enp6UL1+eBQsW6OdJTU2ld+/eODs74+XlxYcffkhBQQFwfV7/pk2bMnToUBwcHPDx8WH9+vXA9ZmCtm/fzqBBg7C2ttanCBUCrg9l++CDD+66/ccff3xPXyIXL15My5Yt77r9zdq0aWP0b0YIIYT4J0n274G3tzcuLi5kZv69Wu3cuXMJDg4u9vNu2rTJqOxG8luYlQfj8J/0Cz4j1uI/6RdWHowr8rksLCwIDQ0lPDxcL1u+fDnVq1dny5Ytt52z/4aYmBiOHz/Ohg0bANizZw+1a9cmKSmJUaNGMWTIEPbt28fp06dZtGgRgwYNIiMjA4A333yT1NRUzpw5Q2RkJOHh4cybN08/9p49e6hWrRqJiYm89957vPzyyyil+OijjwgICGD69OlkZGQwffr0Il+veLR5e3tTpkwZEhMTjcrr1q2LpmmcO3eOmTNn8v7779/1OUaNGnVPQ8R69OjBzz//fNftb7Z+/Xr69OlzX44lhBCidJJk/x7l5eXxxRdflHQYt7XyYBwjfzhCXEoWCohLyWLkD0fuKOHv06cP3333HVlZWQCEh4fTp08fZs2axUcffUSFChUwNzcnLCyMFStWkJeXp7cNCAjAysoKCwsLAHx8fOjXrx8Gg4GuXbsSGxvL2LFjMTc3p2XLlpQpU4bTp0+Tk5PDsmXLmDhxIjY2Nnh7ezNkyBAWLlyoH9vLy4v+/ftjMBjo06cPFy5c0KcQFY8vHx8fli5dqm8fOXJE/9sVQgghHjeS7N+jYcOGMXnyZFJSUgrdf+LECVq0aEG5cuWoVq0ay5cvB+Ds2bPY29vrw1JeeeUVypcvr7fr2bMnn3/++V3HdWN4TefGVflzxqtcPblT33f5wAZ6P99KH05TqVIldu7cedvhNDd6MZ9++mmsrKzYtWsXAQEB+pz95ubmmJiY4O7uTn5+PpGRkXrb/Px8QkJCsLGxYcKECdjZ2en7ateuDYCLiwt9+/bl9ddfJzMzk8aNG7Nq1SpycnIYOXIkzs7O+Pj4cOjQIeLi/v6ScuMhYQBLS0sA/VcB8fjq1auX0S9RCxYsoHfv3vp23759GTNmDACJiYm0a9cOe3t7ypUrR0BAgP5v8pNPPsHDwwMbGxuqVavG5s2bgesL0fXs2ROAa9eu0bNnTxwdHbG3t6dhw4b6F8758+dTqVIlbGxs8PHxYfHixXr5zb/CaZrGtGnTqFSpEk5OTgwbNsxouJq/vz9vvvkmdnZ2VK9enUsn/n4uSR5EF0II8V8k2b9Hvr6+BAcHM3ny5Fv2ZWZm0qJFC7p3705CQgJLly5l4MCB/PHHH/j4+GBra8vBgwcB2L59O9bW1hw/fhyAbdu2ERQUdNdxVa5cme3bt+M5eBl2/t1IXDOFvIwr+v70mOP6cJru3bvz4osv3nY4DVxPaqysrHj33Xfx8vJi8ODBeHp6EhYWxlNPPcWVK1coKCjgjz/+oEaNGnq7ZcuWMW7cOJKTk3FxcdGn/CzMkiVLsLW15eeff6Z169ZomoanpydxcXFs3ryZ7777Tv+F4L/c/DCxeLw0btyYtLQ0jh8/Tn5+PsuWLdOT83+aMmUKFSpU4PLly1y6dImPP/4YTdOIiopi+vTp7Nu3j/T0dDZs2IC3t/ct7RcsWEBqaiqxsbEkJSUxc+ZMLCwsyMzM5K233mL9+vWkp6ezc+dO6tate9uYf/zxR/bv38+BAwdYtWoV//d//6fv27NnD5UqVSIxMZHx48ezc+ZIsjPT7vU2CSGEeExIsn+XvL29iY6OJjU1lQkTJvDll19y+fJlxo8fT2RkJOfOnWPNmjV4e3vTr18/TE1NqV+/Pp07d2bFihUABAUFERkZycWLF4HrM9xERkZy9uxZ0tLSGDx48G177Tp27Kivgmtvb8/AgQON9r/wwgu4u7vj4WCF1ZOBmDq4k3PhpL6/bDm3Ig2nuaFly5YcOHCAefPmMWHCBHbt2sWLL75IeHg4V65c4cSJEyQkJHDy5Enc3Nz0ds8//zxPP/00pqamNG7c2Oj5hn967rnnKFOmDCYmJhw7dgwLCwvi4uLIzs7GYDCgaRo2NjZF+nxcXFw4c+ZMkeqK0udG7/7GjRupXr26vmjcP5mZmXHhwgWio6MxMzMjICAATdMwGAxkZ2dz7NgxcnNz8fb2pnLlyoW2T0pK4vTp0xgMBho0aICtrS0AJiYmHD16lKysLNzc3KhZs+Zt4x0+fDjlypWjYsWKDB482GgYUvny5Rk8eDBmZmZ07doVG5eKXDjy6z3eISGEEI8LSfbvgampKVu2bOGpp56iXbt2DB06lNzcXH1/dHQ0e/bsMUrKFy9erCf3QUFBbN26lW3bthEYGEhwcDCRkZFERkbqScftrFy50mgV3H/Oax8eHk7dunU59NHzxH7eldzL0eRfvd4baGYwwdvTXa97o7fcxcXFqOzmnv3q1avTpEkTMjMzCQ0NpVy5crRu3ZrevXtz9epV/P39cXd3JywsjLS0v3sdbx5qY25uTn5+/m2vydPT0+jeXbt2jbVr12JnZ4ePjw9paWl6IvVf3n77bVasWIGDgwNvvfVWkdqI0qNXr14sWbKE+fPnGw3h+adhw4ZRpUoVWrZsSaVKlZg0aRIAVapU4fPPPycsLIzy5cvz4osvEh8fX+h5WrVqxYsvvoi7uzvvvfceubm5WFlZsWzZMmbOnImbmxshISGcOHHitnHc/Lfv5eVldC4PDw+j/xdYOrqSlWr8ALIQQghxO5Ls3wNra2s2btwIwPjx4/n222+Neu88PT3x9/enQ4cOmJmZYWdnx4gRI/jqq6+A6+OF161bx8cff8ySJUt4/fXX2bx5M5GRkVy9erXQ6SPffvttzp8/T4cOHWjQoIHRlJgxMTGEhobSqVMn+vTpQ2pqKr9s+pnvd0Vh6epD1pl9XJzTn8QN04mOOsqPP/5Y5GuNjY1l69atJCcnk5uby5UrV6hQoQLvvvsuly5dIj8/nwsXLmBnZ8dnn32Gt7c3ffr0wcTk7z+x1q1b4+zsbHTcU6dO6e81TeP8+fM0bdoUT09PKlWqRE5ODgUFBRQUFJCdna1Pr9m3b1927NhhdCylFFWqVAHAz8+PkydPkpyczLRp04p8naJ08PLywsfHh3Xr1tGpU6fb1rOxsWHKlCmcOXOGiIgIpk6dqo/N7969Ozt27CA6OhpN0xg+fPgt7c3MzBg3bhzHjh1j586drFmzRn9eoFWrVmzcuJELFy5QvXp1+vfvf9s4YmNj9fcxMTG4u//9ZTwuLo6b10O5euUSFnZORb8ZQgghHmuS7N8Dc3NzMjMzOX78OD4+PpiZmXHgwAF9f7t27di3bx9Hjx4lKiqKTZs2MXv2bD766CPgeq93fn4+UVFRHD16lBEjRpCSksL333/PpEmTCp0+smHDhri7u/Pjjz/SvXt3XnjhBa5du6afc/Xq1bRs2RJzc3NatGjBW2+9RfKhn8lOOEfvZrU5c2Q/s2bMoGLFivTs2ZMLFy4U6VrXrVvHjh07yMnJ4f3336dRo0Z4enqyb98+9uzZo/dmli1bFoPBcM/39umnn8bW1pZPPvmErKws8vPzOXr0KPv27bvnY4vHwzfffMMvv/yClZXVbeusWbOG06dPo5TC1tYWg8GAwWAgKiqKX375hezsbMqWLYuFhUWhf9dbtmzhyJEj5OfnY2tri5mZGQaDgUuXLrF69WoyMzMxNzfH2tr6X/9dfPbZZyQnJxMbG8sXX3xB165d9X0JCQlMmzaN3NxcvvvuO9IunsPtqSb3dnOEEEI8NiTZv0ctWrTQxwbXq1fPaIo/S0tLcnJy9Nk8GjdujKWlJatWrdLrWFtb4+rqio+PD3369CE3N5eCggLq1atX6Pl69uyJiYkJBoOBIUOGkJ2dTVRUlL6/adOmvPbaawwZMoRly5axd+9ejhw5gr+/P76+vri7u2NiYoKTkxNVq1Zl7969RbrO7t27M2joKCxs7JixYiPZTd9g5cE40tLS6N+/Pw4ODnh5eeHo6MjQoUPv8m7+zWAwEBERwaFDh/Dx8cHJyYlXXnmF1NTUez62eDxUrlwZX99/X9zw1KlTNG/eHGtra/z8/Bg4cCDBwcFkZ2czYsQInJyccHV1JSEhgY8//viW9hcvXqRLly7Y2try5JNPEhQURM+ePSkoKGDKlCm4u7tTrlw5IiMjbxlqd7PnnnuOBg0aULduXUJCQnj55Zf1fY0aNeLUqVM4OTkxevRomrz6EebWdrc9lhBCCHEz7eafhx91vr6+av/+/f9d8T7w9vZm7ty5VK1alcDAQPz8/AgJCaFbt26YmZlx9uxZLCwscHV1JSMjQ+9d/Omnn3jzzTc5deoU8+fPZ+7cuUbDUTRN49SpU1SpUoXg4GB69uxptFrnlClTmDt3LvHx8WiaRlpaGhs3buTZZ58lLCxMn00Hrq9i6+PjQ25uLqampoSHhzN16lTOnTsHXJ+mctasWUaJRWH69u1LpqkdR93akJX795h7CzMDEzvVomO9wh9+FEL8t5v/zf9TYf+P6DprFwDLBvg9sBiFEEIY0zTtN6XUv/coPSSkZ/8eeXl5YePszoqVEYw5aEngJ1v0fU5OTpiZmRlNNxkTE3PbmUH+6Z8P6G7fvp1PPvmE5cuXk5ycTEpKCnZ2dhTlC1t0dDT9+/dn+vTpJCUlkZKSwlNPPVWktgC7zyQZJfoAWbn5fLYh6jYthCg597JqtBBCCFGaSLJ/j1YejCOrUX+cu36EVqYscanXh/H8/MdFDAYDoaGhjB49mvT0dKKjo5k6dept5/z+p39OH5meno6pqSnOzs7k5eUxYcIEo5lv/k1mZiaapukPyM6bN4+jR48W+TrTr+UVWh6fIiuTiofL/Vg1WgghhCgtJNm/R59tiCLfxgVzt6pG5bO2XU/Sv/zyS6ysrKhUqRJNmzale/fuvPTSS0U69j+nj2zVqhVt2rThiSeewMvLi7JlyxpN2fdvatSowZAhQ/Dz88PFxUUfx18U8+fPp2aHVwvd525ftEWuhHhQPtsQ9Uj9CnXzLFL/VNisU0IIIcSdkDH798hnxFoKu4MacHZSyAONpTjd6C2VMfviYVfa/03KmH0hhCh5Mmb/MXK7nu3S1uPdsZ4HEzvVwsPeAg3wsLeQRF88lB6Xf5NCCCFEUZiWdACPumbVnVm8O8aoJ9HCzMCwVtVKLKbi0rGehyT34qE3rFW1Qn+FKo3/JoUQQoj/Isn+PVh5MI7vf4szSvQ1oHMDSYqFKCk3/u19tiGK+JQs3O0tGNaqmvybFEII8ViSZP8eFPYgoAK2nLhcMgEJIQD5FUoIIYS4Qcbs34PbTTsp01EKIYQQQoiHgST790AeBBRCCCGEEA8zSfbvwbBW1bAwMxiVyYOAQgghhBDiYSFj9u+BPAgohBBCCCEeZpLs3yN5EFAIIYQQQjysZBiPEEIIIYQQpZQk+0IIIYQQQpRSkuyLh9Jrr73GBx988J/1goODmTt3bqH7YmJisLa2Jj8/v9D9QgghhBClnYzZFw+ct7c38fHxxMfH4+TkpJfXrVuXw4cPc/bsWWbOnHnP56lYsSIZGRn3fBwhhBBCiEeV9OyLEuHj48PSpUv17SNHjpCVJYuRCSGEEELcT8Wa7Gua1lrTtChN005rmjaikP3VNU3bpWlatqZpQ/+x75ymaUc0TTukadr+4ozzfvD29sbFxYXMzEy9bO7cuQQHBxfref9tGMvDrFevXoSHh+vbCxYsoHfv3vp23759GTNmjL69atUq6tati62tLZUrV+ann37S90VHR+Pv74+NjQ0tW7YkMTERgHPnzqFpGnl5eQCcPXuWwMBAbGxsaN68OW+88QY9e/bUj/PCCy/g6uqKnZ0dgYGB/PHHH0bxvPHGG4SEhGBjY0OjRo34888/7/+NEUIIIYS4j4ot2dc0zQB8BbQBagDdNE2r8Y9qV4C3gMm3OUwzpVRdpZRvccV5P+Xl5fHFF1+UdBhFciMBLimNGzcmLS2N48ePk5+fz7Jly4wS75vt3buX3r1789lnn5GSksK2bdvw9vbW9y9ZsoR58+aRkJBATk4OkycX/ufUvXt3nn76aZKSkggLC2PhwoVG+9u0acOpU6dISEigfv369OjRw2j/0qVLGTduHMnJyVSpUoXRo0ff200QQgghhChmxdmz/zRwWil1RimVA3wLPHdzBaVUglJqH5BbjHE8MMOGDWPy5MmkpKQUuv/EiRO0aNGCcuXKUa1aNZYvXw5c73G2t7enoKAAgFdeeYXy5cvr7Xr27Mnnn39epBjWrFlD3bp1sbe3p0mTJvz+++/6Pm9vbz755BNq166NlZUVeXl5fPLJJ3h4eGBjY0O1atXYvHkzAAUFBUyaNInKlSvj6OhIaGgoV65cASAkJIQvv/zS6Ly1a9dm5cqVRYrxhhu9+xs3bqR69ep4eBS+XsE333zDSy+9RIsWLTAxMcHDw4Pq1avr+/v168cTTzyBhYUFoaGhHDp06JZjxMTEsG/fPiZMmECZMmVo2rQpHTp0MKrz0ksvYWNjg7m5OWFhYRw+fJjU1FR9f6dOnXj66acxNTWlR48ehZ5HCCGEEOJhUpzJvgcQe9P2+b/KikoBP2ua9pumaa/erpKmaa9qmrZf07T9ly9fvstQ7w9fX1+Cg4ML7VnOzMykRYsWdO/enYSEBJYuXcrAgQP5448/8PHxwdbWloMHDwKwfft2rK2tOX78OADbtm0jKCjoP89/4MABXnrpJWbNmkVSUhIDBgygQ4cOZGdn63WWLl3K2rVrSUlJ4c8//2T69Ons27eP9PR0NmzYoPeYT5s2jZUrVxIZGUl8fDwODg688cYbAPTp04dFixbpxzx8+DBxcXG0bdv2ju5Xr169WLJkCfPnzzcawvNPsbGxVK5c+bb7XV1d9feWlpaFPpQbHx9PuXLlsLS01Ms8PT319/n5+YwYMYLKlStja2ur34cbQ4KKeh4hhBBCiIdJcSb7WiFl6g7a+yul6nN9GNAbmqYFFlZJKTVbKeWrlPJ1dna+mzjvqwkTJvDll1/yzy8ea9aswdvbm379+mFqakr9+vXp3LkzK1asACAoKIjIyEguXrwIQJcuXYiMjOTs2bOkpaVRp06d/zz3nDlzGDBgAI0aNcJgMNCnTx/Mzc3ZvXu3Xuett97C09MTCwsLDAYD2dnZHDt2jNzcXLy9vfWketasWXz00UdUqFBB7+lesWIFeXl5PPfcc5w6dYpTp04BsHDhQrp27UqZMmXu6F55eXnh4+PDunXr6NSp023reXp63vP4eDc3N65cucLVq1f1stjYv7+LLlmyhFWrVrFp0yZSU1M5d+4cAErdyZ+sEEIIIcTDpTiT/fOA503bFYD4ojZWSsX/9d8E4EeuDwt66D311FO0a9eOSZMmGZVHR0ezZ88e7O3t9dfixYv15D4oKIitW7eybds2AgMDCQ4OJjIyksjISAICAjAx+e+PKjo6milTphidIzY2lvj4v2/7zb3ZVapU4fPPPycsLIzy5cvz4osv6nWjo6N5/vnn9eM8+eSTGAwGLl26hLm5OaGhoSxatIiCggKWLl1Kr1697up+ffPNN/zyyy9YWVndts7LL7/MvHnz2Lx5MwUFBcTFxXHixIk7Oo+Xlxe+vr6EhYWRk5PDrl27iIiI0Penp6djbm6Oo6MjV69eZdSoUXd1PUIIIYQQD5PiTPb3AVU1TfPRNK0M8CKwuigNNU2z0jTN5sZ7oCVwtNgivc/Gjx/PnDlziIuL08s8PT0JCgoiJSVFf2VkZDBjxgzgerK/fft2tm7dSlBQEE2bNuXXX38lMjKySEN4bpxj9OjRRue4evUq3bp10+tomvEPLt27d2fHjh1ER0ejaRrDhw/Xj7V+/XqjY127dk0fV9+nTx8WL17M5s2bsbS0xM/P767uVeXKlfH1/ffnr59++mnmzZvHO++8g52dHUFBQURHR9/xuRYvXsyuXbtwdHRkzJgxdO3aFXNzcwB69+6Nl5cXHh4e1KhRg8aNG9/V9QghhBBCPFSUUsX2AtoCJ4E/gdF/lb0GvPbXe1eu/wKQBqT89d4WqAQc/uv1x422//Vq0KCBKileXl5q48aN+vYrr7yiypUrp4KCgpRSSqWlpamKFSuq8PBwlZOTo3JyctTevXvVsWPH9DZubm7KxsZGRUdHK6WU8vX1VTY2Nmrv3r23PW9QUJCaM2eOUkqpffv2qQoVKqjdu3ergoIClZGRodasWaPS0tIKjfHEiRNq8+bN6tq1ayo7O1v169dP9enTRyml1NSpU1VQUJA6d+6cUkqphIQEtXLlSqNzV61aVdWqVUuNHz/+Lu9ayQoNDVVjx44t6TCEuCOhM3eq0Jk7SzoMIYR4rAH7VTHm0PfzVazz7Cul1imlnlBKVVZKffRX2Uyl1My/3l9USlVQStkqpez/ep+mrs/gU+evV80bbR8lY8eONZpz38bGhp9//plvv/0Wd3d3XF1dGT58uNHDs0FBQTg6OlKxYkV9WylFvXr1/vVcN3rrfX19mTNnDoMGDcLBwYEqVaowf/7827bLzs5mxIgRODk54erqSkJCAh9//DEAb7/9Nh06dKBly5bY2NjQuHFj9uzZY9S+d+/eHDly5LZTZj5s9u3bx59//klBQQE//fQTq1atomPHjiUdlhBCCCFEsdFUKXoA0dfXV+3f/9Cvv3Vf1a9fn7Fjx5ZI0hoeHs7s2bPZsWPHHbddeTCOzzZEEZ+Shbu9BcNaVaNjvTuZrOnORUREMHDgQJKSkqhQoQIjR46kX79+xXpOIe63rrN2AbBswN0NnRNCCHHvNE37TT0i60CZlnQA4u798ccfHD9+/D97/ovD1atX+frrrxk4cOAdt115MI6RPxwhKzcfgLiULEb+cASgWBP+9u3b0759+2I7vhBCCCHEw6ZYh/E8jlYejMN/0i/4jFiL/6RfWHkw7r8b3YXhw4fTsmVLPvnkE7y8vIrlHLezYcMGnJ2dcXFxoXv37nfc/rMNUXqif0NWbj6fbYi6XyEKIYQQQgjuoGdf0zQLoKJSSjKy23iQPdaffPIJn3zyyX09ZlG1atXK6HmEOxWfknVH5UIIIYQQ4u4UqWdf07T2wCHgp7+262qaVqRpNB8n0mNdNO72FndULoQQQggh7k5Rh/GEcX1RqxQApdQhwLs4AnqUlUSPtaZpnD59utiO/0/BwcHMnTv3no4xrFU1LMwMRmUWZgaGtap2T8cVQgghhBDGiprs5ymlUos1klLg5p7p8zNeIvbLnhTkXNPL586dS3Bw8F0f/14T7bCwMMzMzLCxscHGxoYnnniCQYMGceHChbs+ZlF5e3uzadMm4PqQpomdauFhb4EGeNhbMLFTrWKfjUcIIYQQ4nFT1GT/qKZp3QGDpmlVNU37EthZjHE9km7psS7IJ+tgxD33WCulKCgouMforuvatSvp6elcuXKFH3/8kYsXL9KgQYMHkvDfrGM9D34d8QxnJ4Xw64hnJNEXQgghhCgGRU323wRqAtnAUq6veDu4mGJ6ZN3cYw1QIagr1w6sJNjHqtD6O3fupGHDhtjZ2dGwYUN27vz7+1NwcDCjR4/G398fS0tLevXqxfbt2xk0aBDW1tYMGjRIr7tp0yaqVq2Kg4MDb7zxBkVZO8HMzIyaNWuybNkynJ2dmTJlCgDJycm0a9cOZ2dnHBwcaNeuHefPny/0GBcuXKB27dpMnjwZgNWrV1OzZk3s7e0JDg7m+PHjAPTq1YuYmBjat2+PtbU1n376KQAvvPACrq6u2NnZERgYyB9//PGfcQshhBBCiKIrUrKvlLqqlBqtlGqolPL96/214g7uUXSjx7qCgwXfDO1Ki2ef0ZPhm125coWQkBDeeustkpKSePfddwkJCSEpKUmvs3DhQmbPnk16ejrz588nICCA6dOnk5GRwfTp0/V6a9asYd++fRw+fJjly5ezYcOGIsdrMBh47rnn2L59OwAFBQX069eP6OhoYmJisLCwMPpiccO5c+cICgpi0KBBDB06lJMnT9KtWzc+//xzLl++TNu2bWnfvj05OTksXLiQihUrEhERQUZGBu+99x4Abdq04dSpUyQkJFC/fn169OhR5LiFEEIIIcR/K+psPBGapq3+x2uhpmlva5pWtriDfJRNmDCBL7/8ksuXLxuVr127lqpVq9KrVy9MTU3p1q0b1atXJyIiQq/Tt29fatasiampKWZmZrc9x4gRI7C3t6dixYo0a9aMQ4cO3VGM7u7uXLlyBQBHR0c6d+6MpaUlNjY2jB49msjISKP6x44dIzg4mPHjx/Pqq68CsGzZMkJCQmjRogVmZmYMHTqUrKwso18r/umll17CxsYGc3NzwsLCOHz4MKmp8miIEEIIIcT9UtRhPGeADGDOX6804BLwxF/b4jaeeuop2rVrx6RJk4zK4+Pjb1kMy8LCgrffflvf9vT0LNI5XF1d9feWlpZkZGTcUYxxcXGUK1cOuL4y7oABA/Dy8sLW1pbAwEBSUlLIz/97StHFixfj4eFBly5dbns9JiYmeHp6EhdX+KJi+fn5jBgxgsqVK2Nra4u3tzcAiYmJdxS7EEIIIYS4vaIm+/WUUt2VUhF/vXoCTyul3gDqF2N8jxxvb28sLCyIiYmhY8eONGnShGrVqjFnzhyjxNfd3Z3o6GijtgkJCZiY/P2RaJpmtP+f2/dDQUEBERERBAQEADBlyhSioqLYs2cPaWlpbNu2DcDoOYCwsDCcnJzo3r27/iXgn9ejlCI2NhYPD49CY1+yZAmrVq1i06ZNpKamcu7cuVvOI4QQQggh7k1Rk31nTdMq3tj4673TX5s59z2qR1xERAQVK1Zk8eLFjBgxgnnz5uHq6sq0adP0Om3btuXkyZMsWbKEvLw8li1bxrlz5yhb9vajolxcXDhz5sx9iTE3N5fjx4/TrVs3Ll68yLvvvkteXh7p6elYWFhgb2/PlStXGD9+/C1tzczM+O6778jMzKRXr14UFBQQGhrK2rVr2bx5M7m5uUyZMgVzc3OaNGlSaOzp6emYm5vj6OjI1atXGTVq1H25LiGEEEII8beiJvtDgB2apm3RNG0rsB0YpmmaFbCguIJ71FlZWdGhQweWLVvGqVOnyMjIoKCggKFDh1KvXj00TePtt9/G0dGRTz/9lIkTJ2Iw/D115/r166lcuTI2NjbUqFGDunXrsmLFChwcHLCxseG3334DYNWqVWiaxrFjxwA4ePAgHTt2BGDv3r34+flhb2/P5MmTWbp0KdbW1tjb29OhQweWL1/Om2++SVBQEFWrVmXw4MGcP38eKysrnJ2d+f333wu9tjJlyvDDDz+QkJDASy+9RNWqVVm0aBFvvvkmTk5OREREEBERQZkyZQAYOXIkH374oR5H79698fLywsPDgxo1atC4ceNi/CSEEEIIIR5TSqkivQBzoA5QFyhb1HYP8tWgQQNV0ry8vNTGjRtvKff09FRff/21evvtt1X79u1VUlKSSktLU+3atVMjRoxQSim1ZcsW5eHhobdZvny5iouLU/n5+erbb79VlpaWKj4+XimlVK9evdTkyZOVUkr1799fVapUSX399df6vqlTpyqllNq/f7/atWuXys3NVWfPnlXVq1dX//vf//RzAKp58+YqKSlJXb16Vf3222/K2dlZ7d69W+Xl5an58+crLy8vde3atWK5X0KIOxM6c6cKnbmzpMMQQojHGrBfPQS5b1FeRe3ZB6gKVANqA6GapvW+v187SrcbM97MmTOH//3vf5QrVw4bGxtGjRrFt99+W2ibF154AXd3d0xMTOjatStVq1Zl7969AAQFBemz5Gzfvp2RI0fq25GRkQQFBQHQoEEDGjdujKmpKd7e3gwYMOCW2XVGjhxJuXLlsLCwYM6cOQwYMIBGjRphMBjo06cP5ubm7N69u7hujRBCCCGEKCamRamkado4IBioAawD2gA7gPBii6yUWHkwjs82RLH/2J/EW5/i6tWrNGjQQN+vlDKa6eZm4eHhTJ06VX94NSMjQ5+tJigoiKFDh3Lx4kXy8/Pp2rUr48eP59y5c6SmplK3bl0ATp48ybvvvsv+/fu5evUqeXl5RucH41l/oqOjWbBgAV9++aVelpOTQ3x8/P24HUIIIYQQ4gEqas9+F+BZ4KJSqh/Xh/OYF1tUpcTKg3GM/OEIZ44fJj89ibyKDdBMzZmybBMpKSmkpKSQmppa6FSZ0dHR9O/fn+nTp5OUlERKSgpPPfWUPltNlSpVsLS0ZNq0aQQGBmJjY4OrqyuzZ8+madOm+qw+r7/+OtWrV+fUqVOkpaXx8ccf3zLjzc0z5Xh6ejJ69Gg9vpSUFK5evUq3bt2K8U4JIYQQQojiUNRkP0spVQDkaZpmCyQAlYovrNJh4qoDJB3fReLqT7GqGUyZ8pWwrtOS4cOGkpCQAFyf476wFW8zMzPRNA1nZ2cA5s2bx9GjR43qBAUFMX36dH3ITnBwsNE2XJ/1xtbWFmtra06cOMGMGTP+Neb+/fszc+ZM9uzZg1KKzMxM1q5dS3p6+j3dCyGEEEII8eAVNdnfr2maPdcX0PoNOADsLa6gHnXt27fHxsaGfRNfJHXXMmwbdsSx7WAAHIL7kWdVnrp162JiYkLz5s2Jioq65Rg1atRgyJAh+Pn54eLiwpEjR/D39zeqExQURHp6OoGBgYVuA0yePJklS5ZgMBh44YUX6Nq167/G7uvry5w5cxg0aBAODg5UqVKF+fPn39sNEUIIIYQQJUL755COWypcH+NRQSkV+9e2N2CrlCp8TsYS5Ovrq/bv3//Az7tkyRKmTp3KiRMnsLGxoW7duowePZrhO3KIS8m6pb6HvQUfNTahZ8+enD9//oHE6O3tzdy5c2nevPkDOZ8Qonh0nbULgGUD/Eo4EiGEeHxpmvabUsq3pOMoiv/s2f9reqGVN22fexgT/ZIydepUBg8ezKhRo7h06RIxMTEMHDiQybMXkZmdd0t9CzMDw1pVu6dz3u6BXiGEEEIIIW5W1GE8uzVNa1iskTyCUlNTGTt2LF999RWdOnXCysoKMzMz8ivUJ8qrI8npV7myaTbnv+rN+a96kxk5lwntnqBjPY9bjnX8+HGCg4Oxt7enZs2arF69Wt/Xt29fXn/9ddq2bYuVlRVbtmxh7dq11KtXD1tbWzw9PQkLCzM63sKFC/Hy8sLR0ZGPPvrIaF92djaDBw/G3d0dd3d3Bg8eTHZ2drHcIyGEEEIIUXKKmuw343rC/6emab9rmnZE07THvnd/165dXLt2jeeff96o/LMNUWTl5pO6axnZ8VG49Z2GW78vyY4/ye9r5t1ynNzcXNq3b0/Lli1JSEjgyy+/pEePHkZj+ZcsWcLo0aNJT0+nadOmWFlZER4eTkpKCmvXrmXGjBmsXLkSgGPHjvH666+zcOFC4uPjSUpKMhou9NFHH7F7924OHTrE4cOH2bt3Lx9++GHx3CQhhBBCCFFiiprst+H67DvPAO2Bdn/997GWlJSEk5MTpqbGyxXE/zVOP/PYVuz9X8RgZY/B0g7LRl1ZuHDhLcfZvXs3GRkZjBgxgjJlyvDMM8/Qrl07li5dqtd57rnn8Pf3x8TEhLJlyxIcHEytWrUwMTGhdu3adOvWTV8sa8WKFbRr147AwEDMzc354IMP9Kk4ARYvXszYsWMpX748zs7OjBs3rtC4hBBCCCHEo61Iyb5SKhrwBJ756/3VorYtzRwdHUlMTCQvz3hsvru9BQD5GVcw2JbXy90qVCx0car4+Hg8PT2NEnIvLy/i4uL07ZsXvgLYs2cPzZo1w9nZGTs7O2bOnKkvuHXjeDdYWVnh6OhodD4vLy+jc8miWUIIIYQQpU+REva/VtAdDoz8q8gMWFRcQT0q/Pz8KFu2rD585oZhraphYWbAYF2O/LTr8+lbmBl4rkoZ3N3dbzmOu7s7sbGxFBQU6GUxMTF4ePw9tv/mha8AunfvTocOHYiNjSU1NZXXXntNXyzLzc2N2NhYve7Vq1dJSkoyOl90dLTRuQqLSwghhBBCPNqK2jv/PNAByARQSsUDNsUV1KPCzs6OCRMm8MYbb7By5UquXr1Kbm4u5hd/p3rMKlzrPUvqzmWUN81mZDMPNi35mp49e95ynEaNGmFlZcWnn35Kbm4uW7duJSIighdffPG2505PT6dcuXKULVuWvXv3smTJEn1fly5dWLNmDTt27CAnJ4exY8cafZHo1q0bH374IZcvXyYxMZEJEyYUGpcQQgghhHi0FTXZz/lrCk4FoGmaVfGF9Gh59913mTp1Kh9++CHOzs54enoyffp0hg3oxal1c3m1cwtiv3mD4T1aUr9+fcaMGXPLMcqUKcPq1atZv349Tk5ODBw4kPDwcKpXr37b83799deMHTsWGxsbJkyYQGhoqL6vZs2afPXVV3Tv3h03NzccHByoUKGCvn/MmDH4+vpSu3ZtatWqddu4hBBCCCHEo+0/F9UC0DRtKFAVaAFMBF4Cliilvize8O5MSS2qJYQQD4osqiWEECWvVC2qBaCUmgysAL4HqgFjH7ZE/1HQt29f6UEHzp07h6ZptzzYXJitW7ca/SohhBBCCCGKrqgP6L4DHFdKDVNKDVVKbSzmuB4pwcHBWNva4/fhT/iMWIv/pF9YeTDuvxuWQsHBwcydOxcAb29vNm3aVMIRCSGEEEI8voo6Zt8W2KBp2nZN097QNM2lOIN6lJw7d47t27eTlZvP6f2RKCAuJYuRPxwxSvhfffVVDh8+XGxxeHt74+LiQmZmpl42d+5cgoODi+2cQgghhBDi4VbUYTzjlVI1gTcAdyBS0zTpsuV6T3aBAquazcg8ulkvj105mddef522bdtiZWVFaGgoderU0fenp6fTrFkz3nrrLZRSTJo0icqVK2NjY0ONGjX48ccf9brz58+nadOmDB06FAcHB3x8fFi/fr3R/ri4OBISEqhQoQKLFy8GICEhgcOHD+Po6IiTkxM9evQgJSVFb/fJJ5/g4eGBjY0N1apVY/Pmv+O/n/Lz8xk6dChOTk5UqlSJtWvXGu2fN28eTz75JDY2NlSqVIlZs2bdcowpU6ZQvnx53NzcmDfv71WIU1NT6d27N87Oznh5efHhhx8azTwkhBBCCPE4u9OFsRKAi0ASUP4/6pZ6586dIzo6Gs1ghsHakayzB8jPTNb3JxzczOjRo0lJSaFp06Z6eVJSEs8++yz+/v5MmzYNTdOoXLky27dvJzU1lXHjxtGzZ08uXLigt9mzZw/VqlUjMTGR9957j5dffhmlFJmZmbz11luUL1+eiRMnAlCpUiW9XcWK1xfyWr16NevWrcPV1ZVq1arx+eefM336dGbOnImVlRXr1q3D29sbgB9//JHatWsDsHfvXvz8/LC3t8fNzY1BgwaRk5OjH3/jxo1Ur14dOzs7Bg0axM0PfOfm5jJs2DDs7Oz4/PPPCQgIYPPmzaxYscLoPpYvX541a9aQlpbGvHnzeOeddzhw4IC+/+LFi6SmphIXF8c333zDG2+8QXLy9fv85ptvkpqaypkzZ4iMjCQ8PNzoy4AQQgghxOOsqGP2X9c0bSuwGXAC+iulahdnYI+CDz74AE3TKF+/Bdnn/8DU3o3MY5Ekrv0f2XEnMDW3oGXLlkRGRvLaa69x8OBB4uPj8fHx4dChQ3z++edYW1tjYmJCZmYm7u7u7N69m8mTJ3Pt2jUCAgLYuXMncH2V28WLFxMWFsaCBQu4cOECwcHBJCYmYmJiQm5uLmvWrCErK4vg4GACAwPJzc3FwcGBvLw8unbtSs+ePalevTpLly5lwoQJZGZmYmFhgZWVFWfOnKFy5coALFmyhO7duwNgMBj43//+R2JiIrt27WLz5s18/fXXACQmJtK5c2c+/PBDEhMTqVy5Mr/++qvRPXrxxRfx9fVl4sSJJCUl8cUXXzBy5EijOiEhIVSuXBlN0wgKCqJly5Zs375d329mZsbYsWMxMzOjbdu2WFtbExUVRX5+PsuWLWPixInY2Njg7e3NkCFDWLhwYbF95kIIIYQQj5Ki9ux7AYOVUjWVUuOUUseKM6hHxXfffUeNGjUY9tZAss4ewLLK02T8NZQnL/Ui/oHBpKenG/Xqr127FmdnZ5KSksjIyGDFihW4urqSnJxMrVq18Pf359ixY2iaxjPPPENISAgZGRm4uroC1xPx8PBwAK5du8aMGTNYtmwZ6enp7Nu3j/r161OmTBmqV6/OrFmzOHbsGJ6enly4cIF58+aRlJRE/fr1eeGFF2jWrBlhYWHExcUxYMAA4uPjSU9PZ926dXTr1g2ABg0a0LhxY0xNTfH29mbAgAFERkYCsG7dOmrUqEGXLl0wMzNj8ODBepxwPUlv0KABFy9epEaNGrz77rtERkbi5eVldB/Xr19P48aNKVeuHPb29qxbt47ExER9v6OjI6ampvq2paUlGRkZJCYmkpOTY3Q8Ly8v4uIez4ejhRBCCCH+qahj9kcA1pqm9QPQNM1Z0zSfYo3sIbd582bS09M5e/Ysnw3phwmQcWANuQlnKZN3FRf3CvjXrY6JiQlly5bV2/Xv35/WrVvTtm1bDh06RO/evfniiy8YMWIEzz33HL6+vmRmZvLUU0/x9NNPU716dQ4dOqS379evH0888QQAbdq04dChQ7Rq1QoXFxd++OEH/Pz8sLCwoEyZMly4cAGlFG+++SYmJiYopYiLi8Pe3p4FCxawd+9eduzYwbZt2zh//jxDhw7lhx9+oH79+noCffLkSdq1a4erqyu2traMGjVKT8Tj4+Px9PTUY9M0zWg7Pz+fjz76iLNnz9KlSxd69uxJYmIiMTExep3s7Gw6d+7M0KFDuXTpEikpKbRt25airP/g5OSEmZkZ0dHRellMTAweHh539mEKIYQQQpRSRR3GMw4YDtwYf2EGLCquoB4FH330EQaDgcqVK5Oeno6FRVkszM2oXbs2biaplHewvW3b6dOn4+Pjg7+/P++//z41a9ZE0zSuXbuGl5cX8+bN4+jRo8D1nuob49MBo55zCwsLrly5wurVq1FKER4ezv/93/+RlJTEV199BVxPwB0cHMjNzaVOnTq4u7uTkpLC4cOHWbBgAdnZ2dStWxdra2suXrxoNIQH4PXXX6d69eqcOnWKtLQ0Pv74Yz0Rd3NzY/Xq1fr0mkopYmNj9bY34v7www/x8fHh888/Jz8/n0mTJul1cnJyyM7OxtnZGVNTU9avX8/PP/9cpM/AYDAQGhrK6NGjSU9PJzo6mqlTp9KzZ88itRdCCCGEKO2KOozneaADkAmglIoHbIorqIddVlYWW7duJT8/n5iYGKytrTE1NSUzMxN7e3vOnDnDxYsXWbVqVaHtlVL8+OOPlCtXjoiICCpVqsSQIUOYOXMmq1at4siRI/j7+wPXe6odHBz+NZ4pU6YQGxvLd999R7Vq1fj999/p3bs3AJmZmfoY+YoVK6KUIjc3l99++423334bJycnXF1dcXFxITs7m23btvHCCy/ox05PT8fW1hZra2tOnDjBjBkz9H0hISHk5uayfft28vLymDZtGhcvXjS6TgsLC9566y38/f15/fXXSUhIoFOnTnodGxsbpk2bRmhoKA4ODixZsoQOHToU+bP48ssvsbKyolKlSjRt2pTu3bvz0ksvFbm9EEIIIURpphVluISmaXuVUk9rmnZAKVVf0zQrYNfD9pCur6+v2r9/f7Gf55tvvuGVV16hV69e7Nu3j3PnzmFjY4PBYKBTp06kpaXxyy+/cOXKFRwcHAgNDSUpKQkvLy+aN29Ohw4dcHZ2Jj09HYPBwMcff0y/fv1ISkrCzc2NoKAgzMzM2LJlC7m5uezatYuGDRsSHBzMs88+y7Zt2/jtt98wNzfHzs6OEydO4OjoiJ2dHSEhIaxatYqLFy+Sm5uLr68vly5dIjY2FoPBQH5+Pra2tri7u2Nubq4PEdq0aRMtWrTA1NSUcuXK8fbbbzNq1Chat27N/v37uXbtGvXq1cPHx4dly5aRnZ1Nr169WLRoEZqmoZTCz88PMzMzevXqxSuvvMIff/xB7969iYqKokqVKvTq1Yv//e9/nD9/vtg/IyFKq66zdgGwbIBfCUcihBCPL03TflNK+ZZ0HEWilPrPFzAUmAWcAfoDu4A3i9L2Qb4aNGigHoT69esrQJUvX16tX79e5eTkqLNnz6q6desqU1NTVaNGDWVtba06d+6sEhISlJ+fn6pdu7YaPXq02rJliwKUwWBQlpaWytzcXAFq1qxZSimlWrdurQwGg7KyslL16tVTLVq0UF27dlVKKdW0aVPl4OCg/u///k/l5uaqcePGKVNTU3X06FGVnp6uvL29lYmJiXJ3d1fz5s1TgDp69Kg6e/asAlRubq5+DfPmzVP+/v5KKaXS0tKUq6urmjx5ssrKylJpaWlq9+7dSiml+vTpo0aPHq2327Jli/Lw8NC3vby81MaNG4v9ngshrguduVOFztxZ0mEIIcRjDdivHoLctyivoj6gOxlYAXwPVAPGKqW+vM/fOx4Zr732Gpqm8eWXX9K6dWvWHk2gx7dnuNJsNJhbc/7CJTp06ICJiQlDhgzh0KFDHD9+nI4dOwJQtmxZKlSowKpVq7h27RpOTk5s3rwZd3d3IiMjqV69OklJSRw4cIDBgwfrve+DBg2iZs2a9OvXD1NTU8LCwnjppZdYsWIFlpaWXLx4kQMHDhAXF0ffvn1RSlGzZs3/vJ41a9bg6urKkCFDKFu2LDY2NjRq1Oi+3a+VB+Pwn/QLPiPW4j/pF6OVhYUQQgghRPEp8qJaSqmNSqlhSqmhSqmNxRnUw+7SpUsopejQoQMrD8Yx8ocjxKVkoZWxwNynPmkpyVzJNWX16tW8+OKL7Nu3j/z8fAYNGgRcn0ryZrm5ufz+++8cOnSIDh06kJKSwocffgj8Pc0kQHR0NHv27MHe3l5/LV68mIsXL5KYmMi1a9c4lmFxx4l1bGysPsf+/Xbz/VFAXEoWI384Igm/EEIIIcQD8K/JvqZp6ZqmpRXyStc0Le1BBfmwKV++PJqmsWbNGsZH/EFWbr6+z2BVDs1gyv6T52natClt27YlLi4OFxcXDh8+XOjxMjMz6dmzJ+XLl6ds2bIEBAQUujCUp6cnQUFBpKSk6K+MjAxmzJiBk5MTZczNGbVg0y2J9c9/XPrX6/H09OTPP/8E0B84zs+/fk1WVlZcvXpVr3vzA7hwfbaff/PZhiij+wOQlZvPZxui/rWdEEIIIYS4d/+a7CulbJRStoW8bJRSt59bspSrWLEimqbx8quvEXdoGwW511D5eWT9uZ+s03sx2LmS/Odh7O3tSUxMZMKECXTq1Ilr167pSfTN8vPzcXFx0bft7OyIj4+/pV67du04efIkCxcuJDc3l9zcXPbt28fx48cxMTGhXL1WnPu/wUR/9hx5Gclkxx3natY1/u+3JOD6Ilfnzp0r9LgXL17k888/x8XFhQsXLnDjQee6deuybt06rly5ote5mYuLC2fOnLntvYpPybqjciGEEEIIcf8UeRiP+Jufnx9ly5bFsnoAqbuWcf7LHpyf0Ze0/avIy0jCtn4IZe2dWbt2LbVq1aJ+/fq8+eabtz2ewWDg0qW/e9/T0tJwd3e/pZ6NjQ0///wz3377Le7u7ri6ujJ8+HCys7MBKNOkD5rBFJQibuZLJG+dj1IFxEafpVy5cgDUrl2b3bt333LcjRs3EhERgaurK1WrVmXLli0A9OrVizp16uDt7U3Lli3p2rWrUduRI0fy4YcfYm9vz+TJk2+J2d3eotBrvl25EEIIIYS4fyTZvwt2dnaMGzeOhMNbsQ/ohefby3DrNQVMTDCzd8W6dkvatW1D586duXDhAtOmTcPc3ByAoKCgW6aeHD58OGvXruXy5ctMnjyZmJgYfWGo4OBgo/rVqlXT6yYlJfHLL79Qt25dACo422NS1ga7pt0p4+yNa49PMDEzh1ORvPvuuwD8/vvvJCUl8cUXX/D777/j6elJWFgYTz31FJs3b+bgwYNcunSJoUOHAtC6dWueeOIJatWqxdmzZ1m/fr3Rir4uLi5UqFCBnJwcxo0bx9atW42ubViraliYGYzKLMwMDGtV7Z4/ByGEEEII8e8k2b9L7733Hj6tXyZ5yzfEfh7KhfAhmNo4U/7Fj3CwsaS6W9FHOY0ZMwZfX19q166t/xIwZswYvL29KVOmDImJiUb169ati6ZptwzJGdaqGpoG5u7VKci5Sm5iLGUNkH1yh9GqslZWVoSHh5OSksLatWuZMWMGK1euvG18S5YsYd68eSQkJJCTk6P34MfFxRESEsKYMWP0VYE7d+7M5cuX9bYd63kwsVMtPOwt0AAPewsmdqpFx3oeRb4/tzN//nyaNm1qVNa3b1/GjBlzz8cWQgghhCgNTEs6gEfZ5DHvMOy7Z8gt+HthMjMTjbAONelYr6VRXW9v7xtrFgAYJeply5Zl2rRpTJs27ZZz+Pj4sHTpUn0Y0JEjR8jKKny8e8d6HjhYlsHJugw5NZuhnd5GaN227KpVEw+Pv5Pr4OBg/X3t2rXp1q0bkZGR+tSg/9SvXz+eeOIJAEJDQ1m9ejUAixYtom3btrRt25b58+djb2+Ph4cH69ato0+fPkZx3Y/kXtx/3t7ezJ07l+bNm5d0KEIIIYQoBtKzf6/+ORnNv09Oc8d69epFeHi4vr1gwQJ69+6tb69du5Z69epha2uLp6cnOVfT+eLFehxa+CEmZ3YQPnkMu3btwsnJCYDLly+zZ88eqlevjsFgQNM0vvjiC/bt2wdcn94Trg/PcXJy4vjx49ja/v0rRVZWFvv27cPZ2Zlx48axZMkS7O3tGThwILt37+aXX37htddew8fHh/Xr1+vtvL292bRpk74dFham/9pw7do1evbsiaOjI/b29jRs2FB/hiE1NZWXX34ZNzc3PDw8GDNmDPn5+Rw/fpzXXnuNXbt2YW1tjb29PbNnz2bx4sV8+umnWFtb0759ewA++eQTPDw8sLGxoVq1amzevPm+fka3889r/vbbb3FwcCAyMvKejhscHMzcuXPvNTwhhBBCPAYk2b8HYav/IDdfGZXl5it9Wslz586haRp5eXl3dfzU1FR+/fVX0tLSOH78OPn5+SxbtkxPkps2bcqJEyeMhuSkp6fz66+/4uXlRdmyZTl//jxnz57Vk+eyZcvy4osvcu7cOQ4ePIhSildeeQV7e3sA/deHmJgYjh8/TnZ2tt6Tn5+fzxdffIG5uTnnzp1j1KhRtG3blpSUFL7++ms0TePrr78mIyOD9957j5dfftno14zbWbBgAampqcTGxpKUlMTMmTOxsLj+AG+fPn0wNTXl9OnTHDx4kJ9//pm5c+fy5JNPMnPmTPz8/MjIyCAlJYVXX32VHj168N5775GRkUFERARRUVFMnz6dffv2kZ6ezoYNG/D29r6rz+NeLFiwgDfeeIO1a9cSFBT0wM8vhBBCiMeTJPt3aeXBOFKycvXt8zNeImZKJ2KmdmHX2BCsra0LnT7zTtjZ2TFkyBC9d3/jxo1Ur17daEhOnTp1qFWrFiYmJtSuXRsrKyt+//13AF566SVq1KjBhQsXMBiuPyRrY2NDRkYGJiYmnDp1im3btrFq1So92b+RCJubm+Ps7EyFChU4efIkAHv37iU5ORkfHx+srKzo168f+/btY8OGDRQUFFCxYkWqVq3KhQsX6NOnDxcuXDCaZeh2zMzMSEpK4vTp0xgMBho0aICtrS2XLl1i/fr1fP7551hZWVG+fHneeecdvv322yLfQ4PBQHZ2NseOHSM3Nxdvb+9iW0DsdmbPns2QIUPYsGEDTZo0AW7/iwX8/SzC0KFDcXBwMPqVZPTo0Wzfvp1BgwZhbW3NoEGDCv1S+c/e/zlz5vDkk09iY2NDjRo1OHDgwC1xnjhxAh8fH7799lueeuopIiIi9H25ubk4OTkZPZwthBBCiIefjNm/S4UtCuXceSwW3nXxsLfg1xHPFDqnfVHdnLj16tWLwMBAzp49azSEB+D48eN89NFHHD16lJycHNLT00lNTQVgyJAhZGdn8+KLL5KSkgJcT9pmzJjBwIED6dq1K5qm4eHhobe58TCwl5cX6enpZGZmYmdnB1xfadfJyUlfSMvT05NVq1bx3nvvsX//fnJycvjss8+YMWMGlpaWAPrqv/+mV69exMbG6nH27NmTjz76iOjoaHJzc3Fzc9PrFhQU4OnpWeT7WKVKFT7//HPCwsL4448/aNWqFVOnTi10atPiMGPGDHbs2MHmzZupU6eOXt6nTx9cXFw4ffo0mZmZtGvXDk9PTwYMGADAnj176NOnD4mJicyePZuXX36ZuLg4PvroI3799Vd69uzJK6+8AvCff2ffffcdYWFhrFy5El9fX/7880/MzMyM6hw4cICOHTvy9ddf065dO2JiYli0aJE+FGrdunW4ubnpMz8JIYQQ4tEgPft36d8WhbrdtJLx8fF06NCBcuXKUaVKFebMmaPvCwsLo0uXLvTs2RNbW1vmz59PSkoKEydOxMvLCx8fH1atWsWoUaMoX7683m7ixIl06NCBH374gRo1alCmTBl+/fVXBg0ahFKKcePGcezYMXbu3MmTTz7Jtm3b6NKlCwkJCeTl5ZGWlkbnzp31LwMzZszgxRdf5PfffyctLY3vv/9eT9w9PT3JzMw0ml6zUaNGREZG8tVXX9GoUSPWrl1LxYoVb7n2f1uJ18zMzCjONWvWEB4ejqenJ+bm5iQmJuorBqelpfHHH38Aha/eW1hZ9+7d2bFjB9HR0WiaxvDhwwv9fIrDxo0bady4MbVq1dLLivKLhZeXF/3798dgMNzRrySFmTt3Lu+99x4NGzZE0zSqVKmCl5eXvn/79u106NCBBQsW0K5dOwB69uzJunXrSEu7vlD2woUL6dWr112dXwghhBAlR5L9u3S7RaEcLM1uO/NMt27dqFChAvHx8axYsYJRo0YZPSy6atUqunTpQkpKCj169DBqO2LECAAWL15MbGwsABcuXCArK4ty5cphaWnJK6+8gp2dHa1atWLz5s288847HDlyhPz8fGxtbTEzM9MX8Fq9ejWZmZmYm5tjbW2tD/NJT0/XH3iNi4vjs88+02N4+umncXNzY8SIEWRmZnLt2jV+/fXXIt2vunXr8u2335Kbm8v+/ftZsWKFvm/Lli2Fxunm5kbLli0ZMmQIaWlpFBQU8Oeff+oPuLq4uHD+/HlycnL0Y/1zRd+oqCh++eUXsrOzKVu2LBYWFvq1PggzZ87k5MmTvPLKK/rzCzf/YmFvb4+9vT0DBgwgISFBb+fq6qq/v5NfSQoTGxv7r0OXZs6cSZMmTWjWrJle5u7ujr+/P99//z0pKSmsX7/+lr9JIYQQQjz8JNm/S4UtFnX5hw85+dkL2Nvb3zKNZWxsLDt27OCTTz6hbNmy1K1bl1deeYWFCxfqdfz8/OjYsSMmJib6A6o37N27l+eee47AwEB9gS4TExPefPNNxo4dS3BwMD/++COhoaFYW1vTJORFFqzaRP3gNpSxsKZS1WoEBQXRs2dPCgoKmDJlCu7u7pQrV47IyEi+/vprAMaNG8eBAwews7MjJCSETp066TEYDAYiIiI4ffo0FStWpEKFCixbtqxI9+uDDz7gzz//xMHBgXHjxtG9e3d938WLF+nSpQu2trY8+eSTepwA4eHh5OTkUKNGDRwcHOjSpQsXLlwA4JlnnqFmzZq4urrqsw29/PLLHDt2TP8MsrOzGTFiBE5OTri6upKQkMDHH39cpJjvh/Lly7N582a2b9/OwIEDAf7zF4v/8s9fL6ysrABu+8uJp6cnf/75522PN3PmTGJiYnjnnXeMyvv06cOiRYv47rvv8PPzM3pWRAghhBCPCKVUqXk1aNBAPUg/HjivmkzcrLyHr1Hm9i4qbMZSo/1nz55VgMrNzVW7d+9WTk5ORvtnzJihmjdvrpRSaty4ccrHx0eNHj1a3z9u3DjVo0cPpZRSAwYMUEOHDtX3BQUFKTs7O7Vx40allFJRUVEqJCREubi4KAsra6WZmivzCjWU1/A1ymv4GlV9zHr144HzxXIfROG8vLz0zycmJkZ5e3urwYMHK6WU6tChg3rrrbdUamqqys/PV6dPn1Zbt25VSik1b9485e/vb3QsQJ06dUoppVTXrl3VyJEjjfZ7eHior776SuXl5alvvvlGmZqaqjlz5iillFq+fLmqUKGC2r9/vyooKFCnTp1S586dM4oxOTlZ1a9fXw0fPlw/5tWrV5W9vb2qWbOmWrBgQTHcIXE3QmfuVKEzd5Z0GEII8VgD9quHIPctyqtUPaB75nImXWfteqDnrOBgQQUHC9aYaGw5kcCxm86fmXi9B7rb7F1cS00iKekKnb7YhFlZK7ZMeYOks3/gWb8ZXWft4uj+WBLSs/nhwHlO/XWMo/tjybh8mWcnb+XQsQyuXT7GqjLr8XSw4I/zKaSlp/PhmmPM+dOKrf97E3vPJ2gychFHE3JJ3P0jV6P+HmKTlZvPeyt+Z+nemAd6fx5nl9Oz9c8HoMYrk5k1ZSA/HU+ieutBrP1xBnO8qpB37SpWzu5Ub9mTiifKcHbnac5eTL/lb/mtpQexKX+ZRK9nWPvNh0z+YjpejVpRv+u7VHr+Xd4b+yGDhw7Hx78dDj5PMSvyTzbm7wIqUD6wG81COpGVchlLR1ca9R2LQ8Vqeowuf1rh2eNjZk4dxOojl6jV4VUAHGoGcGLfRlYme7D2Af/bEoU7duH6cxQP+v91QgghHk2lKtl/mFmWc8Gxci2O/DiTKsFduHzq0PVyR7d/bZedW8DZpEzMqzYheff3pEUf4UzuE6QnxhvNYZ937SpmFlaYmluSmfA76YfWYbCwMzpWTn7Bfb8ucXvtPv7BaNvayZ32E1fq2w26D6NB92G3tPNpEoJPkxCjstCZO/X3TpVq0XaC8fApt6f8CPno+9vGUiXweaoEPv+vMZpb2dLq/XCj/ZblXPCoG4hZWcvbHlsIIYQQDy/t5oTxUefr66v2799fIuf29vZm7ty5NG/eXC87d+4cPj4+5ObmYmpqyvnz53nttdf45ZdfKCgowN/fHwsLC9asWUNYWBgLFy6kW7dufPjhhyQnJ9OoUSNOnzmHZloG8wo1MK9Yh/T9q1C51zCzsMI8/yqurq5cvHiRWrVqcenSJS5cuICJsw9Z6SnkJV9AMzWnTHkfyrUciE/V6vw64hn69u2LpaUlZ8+eZfv27dSpU4fvv/+eSZMmsWDBAlxcXFi6dCn16tUDYNKkScyZM4eEhAQ8PT356KOPeP75WxNHUbpcuXKFevXqsXDhQgIDA0s6HPGXGz36ywb4lXAkQgjx+NI07TellG9Jx1EU8oDufXLu3DmjRB+ufwFQSmFqev0HlAoVKrBmzRrc3d2ZOnUqn376KRs2bODSpUuEhYUREBCgty0oKGDixIl4vr0Uj9fnoZmWIfv8USoMnIfn20vB2glra2u+//574uPjcXFxoVGjRmRkZBD+w084+XXB862leL65mDIulbmydorRlKDLly/nww8/JDExEXNzc/z8/Khfvz6JiYl06dKFd999V69buXJltm/fTmpqKuPGjaNnz576Q7Liv608GIf/pF/wGbEW/0m/sPJgXEmH9J/mzJmDp6cnbdq0kURfCCGEeIRJsv+A3ZjvPTQ0lAYNGlC5cmWWLFlySz1HR0c6d+5MBWcHTMwtsfPrSnbMEX2/uamBXr168dRTT2FlZcUHH3zA8uXLyc/Pp2M9D2ZMGIqniyMmpmY8GfIy2ZfO0KyStd7++eefp0GDBpQtW5bnn3+esmXL0rt3bwwGA127duXgwYN63RdeeAF3d3dMTEzo2rUrVatWZe/evcV7o0qJlQfjGPnDEeJSslBAXEoWI3848tAn/P379yczM5OZM2eWdChCCCGEuAcyZv8+W3kwjs82RBGfkoW7vQXDWlUzmnd/wYIFtGzZUp8qsnv37ixYsOCWaQ+vXr3KO++8w6nVa0m6cgUFqJwsVEE+luZlsC5nYbSSrJeXF7m5uSQmJuLk5MTuZV9y8bvvSLp8mWST69/pEhMT9dVwXVxc9LYWFha3bN88p3t4eDhTp07VV2rNyMjQV9oV/+6zDVFk5eYblWXl5vPZhqjbrscghBBCCHG/SLJ/H93oxb2R3N3oxQXoWM+DrKwsvff9xqJJ2dnZpKSkcPjwYaNjTZkyhaioKH4/uJ/dF/IJm7eWw18OwMPOgvfa1uDz7eb64loAMTExmJmZ4eTkxJIlS1i1ahWbNm3C29ub1NRUHBwcuJvnM6Kjo+nfvz+bN2/Gz88Pg8FA3bp17+pYj6PbrbT8byswCyGEEELcLzKM5z76t15cgJUrV2IwGDh27BiHDh3i0KFDHD9+nICAAMLDjWdBSU9Px8LCAnt7ewK9LPCJXQ/AtuHN9B7hRYsWcezYMa5evcrYsWPp0qULBoOB9PR0zM3NcXR05OrVq4waNequrykzMxNN03B2dgZg3rx5HD169K6P97i53UrLtysXQgghhLifijXZ1zSttaZpUZqmndY0bUQh+6trmrZL07RsTdOG3knbh9F/9eIuWLCAfv36UbFiRVxdXfXXoEGDWLx4MXl5eXqbwYMHk5WVhZOTE40bN6Z169a3HLdXr1707dsXV1dXrl27xrRp0wDo3bs3Xl5eeHh4UKNGDRo3bnzX11SjRg2GDBmCn58fLi4uHDlyBH9//7s+3uOmsJWWLcwMRg9LCyGEEEIUl2KbelPTNANwEmgBnAf2Ad2UUsduqlMe8AI6AslKqclFbVuYkpx6E8B/0i/EFZLwe9hb8OuIZ0ogIvEw+K/nOIS4EzL1phBClDyZevO6p4HTSqkzSqkc4FvguZsrKKUSlFL7gNw7bfswupNe3DuZjtHb25tNmzYVum/79u1Uqya9xA+bvn37MmbMGOD68xq/jniGs5NC+HXEM3ec6IeFhdGzZ8/iCFOnaRqnT5++78fdunUrFSpUuO/HFUIIIUTRFGey7wHE3rR9/q+y4m77QE2cOJG2bdsC15O6iZ1qcWnuABK+G4eHvQUTO9WiYz0Pqlatyrfffgvc3+kYAwICiIqKui/XcnOCKv6dt7c3FhYWWFtb4+rqSt++fY1mMHpY/NsXRSGEEEKUfsWZ7GuFlBV1zFCR22qa9qqmafs1Tdt/+fLlIgd3vwQGBvLrr7+Sn3/9wdzGbgZcrE2xzTzPtmFBdKznwcWLFzl9+rS+ONF/PchbnIKDg5k7d26xn+eGB9ErXVIiIiLIyMjg0KFDHDx4kIkTJ5Z0SEIIIYQQRooz2T8PeN60XQGIv99tlVKzlVK+SinfGzPGPEgNGzYkNzeXQ4cOAbBt2zaaNWtGtWrVjMoqV67Mhg0bePLJJ9k1rh1xM18m/dD1GXaunf+DC/MHs3NUC0xMTDAzM6Nu3boUFBTo5zl06BC1a9fGzs6Orl27cu3aNeDWYRLe3t5MnjyZ2rVrU7ZsWby8vPS6cH2KzqFDh+Lu7s7cuXP14RuzZ89m8eLFfPrpp1hbW9O+fXu2bt2KpmkYDAY0TcPMzIymTZuyb98+4PovAW+88QYhISHY2NjQqFEj/vzzz/tyXx+lXxlcXV1p1aqV/nnfkJycfNt7s3PnTho2bIidnR0NGzZk586d+r6zZ88SFBSEjY0NLVq0uGVNg927d9OkSRPs7e2pU6cOW7duLVKcp0+fJigoCDs7O5ycnOjatWuh9dauXUu9evWwtbXF09OTsLAwfd+5c+fQNI0FCxZQsWJFnJyc+Oijj/T9WVlZ9O3bFwcHB2rUqKH/rQghhBCiZBRnsr8PqKppmo+maWWAF4HVD6DtA1WmTBkaNWrEtm3bgOuJfUBAAE2bNjUqCwwMpHz58qxZs4bGYRE4th1M8ua5XIs9SsKKCRhsHHHxbUNKSgqrVq1i8ODBaNrfP3AsX76cn376ibNnz/L7778zf/7828Z0o+7bb79NSkqKXvenn37i/PnzvPPOO5w+fZrIyEi9zauvvkqPHj147733yMjIICIigry8PAwGAx988AHXrl1j0aJF7Nu3D39/fzZv3gzA0qVLGTduHMnJyVSpUoXRo0ff5zv88Dt//jzr16+nSpUqRuW3uzdXrlwhJCSEt956i6SkJN59911CQkJISkoCri+01qBBAxITE3n//fdZsGCBfsy4uDhCQkIYM2YMV65cYfLkyXTu3Jmi/Kr1/vvv07JlS5KTkzl//jxvvvlmofWsrKwIDw8nJSWFtWvXMmPGDFauXGlUZ8eOHURFRbF582YmTJjA8ePHARg/fjx//vknf/75Jxs2bDCKXQghhBAPXrEl+0qpPGAQsAE4DixXSv2hadprmqa9BqBpmqumaeeBd4Exmqad1zTN9nZtiyvWexUUFKQn9tu3bycgIICAgACjsqCgIEJCQqhcuTLvta6OQ+W6lPWpx9VTuwGwdK1ERctcEhISaNu2LX379kXTNAoKCkhNTeXMmTPUrVuXwYMH07JlSw4dOsTWrVt54YUXjGI5f/48zzzzDL///jv/+9//SE9P580336ROnTosX74cV1dX8vLyaNGiBT/88ANwPfkszLFjx1BKMWLECMzNzenatSudOnWibt26DB8+HIBOnTqxePFifHx8+PHHH1m5ciXbt28v9Hi5ubl069aNzp07k5OTw/HjxwkODsbe3p6aNWuyevX173OF/coAMGnSJCpXroyNjQ01atTgxx9/vJeP7Z517NgRGxsbPD09KV++POPHjzfa36lTJ55++mlMTU3p0aOH3vO/du1aqlatSq9evTA1NaVbt25Ur16diIgIYmJi2LdvHx988AHm5uYEBgbq1w/X11Zo27Ytbdu2xcTEhBYtWuDr68u6dev+M14zMzOio6OJj4+nbNmyNG3atNB6wcHB1KpVCxMTE2rXrk23bt2MvhgCjBs3DgsLC+rUqUOdOnX0ReGWL1/O6NGjKVeuHJ6enrz11lt3ckuFEEIIcZ8V6zz7Sql1SqknlFKVlVIf/VU2Uyk186/3F5VSFZRStkop+7/ep92u7cMqMDCQHTt2kJyczOXLl6latSpNmjRh586dJCcnc/ToUQIDA1m/fj2NGzfmpWdrEfN5V66d2Y+mmWAwMeFJ66tUKGdF8+bNqVSpEpMmTQJg/vz5ZGRk8L///Y8zZ86QkZHBli1b/vVh0HLlytG6dWtGjRrFU089RdeuXTl8+DDx8fGYm5uzZMkS5s2bR1zc9QeCv/nmm0KPk5iYiMFgwMTk7z8TLy8vnJ2dOXDgAHl5ebi6utKwYUMOHTpEREQEZcuW5YUXXjAaOgTXh3d07NgRc3Nzli9fjqZptG/fnpYtW5KQkMCXX35Jjx49iIqKKvRXBoDKlSuzfft2UlNTGTduHD179uTChQv39Nndi5UrV5Kens7WrVs5ceLELcNtbqySDGBpaal/ZvHx8Xh5eRnV9fLyIi4ujvj4eBwcHLCysjLad0N0dDTfffcd9vb2+mvHjh1Fug+ffvopSimefvppatasyf/93/8VWm/Pnj00a9YMZ2dn7OzsmDlz5h1dm6fn3yPw/nmdQgghhHiwZAXd+8DPz4/U1FRmz56tLzhla2uLu7s7s2fPxt3dHXd3dzp37szQoUO5dOkSmempdGgXwpstnuT33/ZQ2cWevXv3cv78eby8vJg8eTKbN29m8eLF2Nra4ubmhrW1NRMnTuTo0aNG4/mLys3NjezsbPr168cTTzyhJ3DHjl1fvuDmYUMATk5O5OfnG50rJiYGHx8flFLk5OQA0LNnTxwdHTEYDFhbW5OdnW00Q1BaWhqtW7emcuXKzJs3D4PBwO7du8nIyGDEiBGUKVOGZ555hnbt2rF06dLbxv/CCy/g7u6OiYkJXbt2pWrVquzdu/eO78P9FhQURN++fRk6dOh/Vwbc3d2Jjo42KouJicHDwwM3NzeSk5PJzMw02neDp6cnvXr1IiUlRX9lZmYyYsR/rzvn6urKnDlziI+PZ9asWQwcOLDQ6Ta7d+9Ohw4diI2NJTU1lddee42irsfh5uZGbOzfE2ndHLsQQgghHjxJ9u8DCwsLfH19mTp1KgEBAXp506ZNmTp1KoGBgeTk5JCdnY2zszOmpqasX7+en3/+GYAnn3ySLl26sHXrVo4cOUJSUhKZmZkYDAbi4+MxNTXVj+nl5YVS6pae86IIDQ3l0qVLKKW4evUqEyZMAODq1asAuLi4cObMGb3+k08+iaZpfPrpp+Tm5rJ161YiIiJo0KABmqZRpkwZAKZMmcKTTz5JSEgI8fHxpKamGvUE7969m99//50RI0boXyhu9AD/81eDG782FCY8PJy6devqPdpHjx69pce5pAwePJiNGzfe8pBuYdq2bcvJkydZsmQJeXl5LFu2jGPHjtGuXTu8vLzw9fVl3Lhx5OTksGPHDv2XDbj+xSoiIoINGzaQn5/PtWvX2Lp1K+fPn//P83733Xd6PQcHB/3h639KT0+nXLlylC1blr1797JkyZIi34fQ0FAmTpyoPxfw5ZdfFrmtEEIIIe4/Sfbvk6CgIBISEozGQQcEBJCQkEBgYCA2NjZMmzaN0NBQHBwcWLJkCR06dNDrnjp1iubNm+Pr60tsbCy2trYEBwfj7u5OXl6eXi8mJgZN0yhbtixWVlZGSf8/e+H/2VPfpk0bPDw8mDx5MlWqVMHP7/oKnDcS7pdffpljx45hb29Px44dMTMzw9HRkfXr1+Pk5MTAgQMJDw/nt99+o379+piamhITE8Mnn3zC8uXLiYiIwN3dHTs7O6Oe4JYtWzJy5EieffZZLl26BFzv3Y6Njb3lVwMPD49CY4+OjqZ///5Mnz6dpKQkUlJSeOqpp4rc41zcnJ2d6d27Nx988MF/1nV0dGTNmjVMmTIFR0dHPv30U9asWYOTkxMAS5YsYc+ePZQrV47x48fTu3dvva2npyerVq3i448/xtnZGU9PTz777LMi/dKzb98+GjVqhLW1NR06dOCLL77Ax8fnlnpff/01Y8eOxcbGhgkTJhAaGlrk+zBu3Di8vLzw8fGhZcuW9OrVq8hthRBCCFEMlFKl5tWgQQP1qDl+/LiaPHmyio2NVUopFRMTo5o0aaJeeeUVpZRSc+bMUVWqVFFnzpxR6enpqnPnzqpHjx5KKaVSUlKUhYWFWrNmjcrJyVFhYWHKYDCojRs3KqWUmjFjhvL391f5+fn6+YKCgtScOXOUUkodO3ZMaZqmmjRpUmhsW7ZsUR4eHkoppQoKCtT58+dVWFiYMjc3Vxs2bFBKKbV27Vrl5uamLly4oLKzs9X48eOViYmJHsO4ceP0eCdMmKBq1qypLl++rLKzs1WlSpXUxIkTVU5OjtqyZYuytrZWx48fV0opNXz4cNWtWzc9lj/++EOZm5urEydOqLy8PPV///d/ymAw6NfyqKpRo4basmXLXbWNjo5WVlZWKi8v7//bu/Owqqr1gePfxSCiDEcGFRBBRXEqJxxwwspZM3IecOrm1bSulZlT5lA5pPTzlqWmXs05K7VyzCEVy0xLzSnMCRWckFmRcf3+QHYeBUMBUXg/z3Oey1lr7bXXOeybL2uvvd48bSseb93n/qy7z/25oIchhBBFGnBAPwaxb05eMrNfwOzt7dm3bx8NGzakZMmSNGrUiJo1axIcHAzASy+9RN++fWnevDkVKlSgePHixtIIR0dHPvvsM15++WU8PDwoWbKk2Z77mTv1ODs7U7duXSDjodvU1FSio6MZNWoUtWvXvmcW/U4RERHY2dlhZ2dH/fr1OXLkCDt37qR169YAtGnThnbt2lGlShW8vLwoXry42QOadxo/fjyBgYG0bNmShIQEvvvuu3vuGlStWhW49y5D9erVGTFiBP7+/pQpU4YjR44Yz0c8ztq0acO77757T/m3335L2bJlOXz4MC1atHiovsuXL09CQkKWS3Fy01YIIYQQhYfSj8kyiLzg5+enDxw4UCDnXncwnBlbQomIScTdZMvINr4E1vEokLHcT9u2bdm7dy+WlpYEBATw2Wef4ebmVtDDemL90+995cqVjB07ljNnzpj9UdW1a1e8vLyMP+qykpqaava8hng4dnZ2/PHHH1SsWJEhQ4bg4eHB+PHjC3pYD63HvL0AfDnYv4BHIoQQRZdS6jettV9BjyMnZGY/D6w7GM6YNUcIj0lEA+ExiYxZc4R1B7N/2DS7fppM20GF0RtoMm3HAx+fE5s3byY2NpaoqCjWrl0rgX4u5OT3HhgYSFRUlFnugejoaNavX0+/fv3w9vZm27ZtAEycOJGuXbsSFBSEg4MDixcv5uzZs8YzHy1btmTYsGEEBQUBf2ezzXymo0WLFowfP54mTZpgb29P69atjQeY7267aNEiqlWrhr29PRUrVmTevHn58h3d+fkyLV68ONs9/vNDQkICFStWBGDu3LlPdKAvhBBCPCgJ9vPAjC2hJKakmZUlpqQxY0toNkfcK6/+YMjOkCFDcvTwqMi5nPzebW1t6d69O0uWLDHKVq9eTdWqValVq9Y9fX777bd07dqVmJgY+vTpQ+/evWnQoAHXr19n4sSJLF269L5jysyhcPXqVZKTk5k5c2aW7TKzOcfFxbFo0SLeeOMNfv/99wf5+EIIIYR4AkiwnwciYhKzLV+1apWxHr906dI0bNiQzz777J5dZPLiD4b7kRnNvHe/3/ud+vfvz1dffUViYkb5kiVL6N+/f5bH+vv7ExgYiIWFBdeuXWP//v1MnjyZYsWK0bRpU7MdnLKSmUMh84+M7LYCzczmrJQiICCA1q1bZ5v5OD/dLyuyl5cXv/32G5CROVgpZeSEWLBgAYGBgQD8+uuv+Pv7YzKZcHNz49VXXzVyQEDGzk6Z+QQGDBjAO++884g+nRBCCFHwJNjPA+4m2yzL9ZHvGT58OCNHjuTy5ctcuXKFuXPn8tNPP5kFI5DzwDErd27NKR6d7H7vd5c3bdoUV1dXvv32W86cOcP+/fvp3bt3lsfe+XBzREQETk5OlChRIsv6rGSX2fZumdmcnZycMJlMbNy4sUByFtwvK3JAQAA7d+4EYPfu3VSsWJFdu3YZ7wMCAgCwtLTk//7v/4iMjGTv3r1s376dzz777JF/FiGEEOJxJMF+HhjZxhdba/NdToql3eLyjiV89tlndO3aFXt7e5RS1KlTh+XLl2NjY0NSUhJvvfUW5cuXJ/zTIK5vmU16SpLRR/yhzVye/2+cnJzo1KkTERERRp1Sik8//ZTKlStTuXJlAD788EPc3Nxwd3dnwYIF2c5oRkdH07FjR1xdXSlVqhQdO3bMUVImYS6r37uttSUj2/je07Zfv34sWbKEpUuX0rp1a8qUKZNln3c+xOvm5kZUVJSR9Awwy077sJKSksyyOcfExNC+fft8y1kQGBhoJEIzmUwMHTrUqLtfVuSAgAAjuA8JCWHMmDHG+127dhnBfr169WjUqBFWVlZ4e3szePBgo50QQghR1EmwnwcC63gwtfNTeJhsUYCHyZaeXomkpiTzwgsvZHvcqFGjOHnyJIcOHeKLTb+gb0QR+/NKABLDDhO7ewnvf7KQS5cu4eXlRc+ePc2OX7duHfv27eP48eNs3ryZjz76iG3btnHq1Kn7Bjvp6ekMHDiQsLAwzp8/j62tLa+++mqefBdFSVa/96mdn8pyF6Z+/fqxbds25s+fn+0SnrtlZtOdOHEiycnJ7N271yyb7sO6Xzbn/LBu3TpiYmKM152z7vfLihwQEEBISAiXL18mLS2NHj168NNPP3Hu3DliY2OpXbs2ACdPnqRjx46ULVsWBwcHxo4d+9hkVhZCCCEKmuzrl0cC63iYBXnLli3DxcXFbOvExo0bc/z4cZKSkti8eTPz58/njz/+wMnJiV5NnQgbO46Jbw5GBQyAUyE83603I3q3BWDq1KmUKlWKc+fO4e3tDcCYMWNwcnICMh76HDhwIDVq1AAyMpkuW7Ysy7E6OzvTpUsX4/24ceN45pln8vLrKDLu/r1nx9vbm8aNG3P48OF/XHd/p+XLlzNgwACcnZ1p0KABPXr0IC0t7Z8PvI87szknJSXx/PPPP9CY8kpmVuTt27fj7++PpaUltWvXNu4w+Pj4UKJECT7++GNjR6KyZcvy+eef07RpUyPz8yuvvEKdOnVYuXIl9vb2zJo1i6+//vqRfx4hhBDicSTBfj5xdnY2ElhlBvw///wzAOXKlePKlSvcvHmTevXqGcdorbFKS+PstA60azeblg1qGnV2dnY4OzsTHh5uBPt3r+/28/t7u9f7re2+efMmb7zxBps3byY6OhqA+Ph40tLSJOlSPspcf36nc+fOGT9PnDjxnvrMNe2ZevToYSQe8/b2Nlt6c3f/AwYMYMCAAVm2HTZsGMOGDXvwD5GHbty4gVIKV1dXIGM70KNHj5q1CQgIYPbs2Xz66adAxvais2fPNnvYPD4+HgcHB+zs7Pjzzz+ZM2eO0acQQghR1Mkynnzi7++PjY0N3377bZb1Li4u2NracuzYMWN5Q2xsrPFApbu7O2FhYUb7GzducP36dTw8/p5Fvnt9953r7u+3tjs4OJjQ0FD27dtHXFwcu3fvBsi3Ndvi4e3fv5/Tp0+Tnp7O5s2b+fbbb41daJ50OcmKHBAQQHx8PM2bN8/yPcDMmTNZsWIF9vb2DBo0iB49ejzSzyGEEEI81rTWheZVr149/TiZPn26Ll26tP7qq690fHy8TktL0wcPHtQmk0n/+OOP+j//+Y/u1q2bvnLlitZa64sXL+rNmzdrrbXetm2bdnFx0QcPHtS3bt3S//nPf3STJk2MvgH9119/Ge83btyoy5Ytq48fP65v3Lih+/bta9amf//+ety4cVprrUeOHKnbtm2rExMT9fXr13VgYKAGdEpKyqP6aoqktb9f1I2nbtfeo9brxlO367W/X/zHY7777jtdrlw5bWtrqytXrqz/97//PYKRisdZ97k/6+5zfy7oYQghRJEGHNCPQeybk5fM7Oejt99+m48++ogPP/yQ0qVLU6ZMGQYPHsz06dNp3Lgx06dPx8fHh0aNGuHg4EDLli0JDc3YV/+5557jvffeo0uXLri5uXH69GlWrVqV7bnatWvHf/7zH5555hl8fHzw9/cHwMbG5p62r7/+OomJibi4uNCoUSPatm2bP1+AMDxs0rTnn3+eCxcucPPmTU6ePMnAgQMfzYCFEEIIUSgoXYiWbvj5+ekDBw4U9DAeCydOnKBmzZokJSWZPSQsCkaTaTsIzyJngofJlp9GP1sAI3q01h0MZ8aWUCJiEnE32TKyjW+OHmwW9+oxby8AXw72L+CRCCFE0aWU+k1r7ffPLQuezOw/ZoYMGcJ77733UMeuXbuW5ORkoqOjGTVqFM8//7wE+o+J3CRNe9I97F0NIYQQQuSeBPv5bN3BcJpM20GF0RsoXqos1tbF7tkDvHbt2iilOHfuHHPnzjXbaeRBzJs3D1dXVypVqoSlpSVz5szJi49g5s5EXSLncppttzCasSWUxBTz7UITU9KYsSW0gEYkhBBCFB0S7Oeju2c0U9M1Fg6lGTPj7yD8yJEjJCbmzezu5s2biY2NJSoqirVr1+Lm5pYn/Yrce5Bsu4VNUb6rIYQQQhQ0CfbzUVYzmrY1nmHl8uXG+y+++IJ+/foZ7wcMGMA777wDZOybXq5cOYKDgyldujRubm4sWrTIrO2wYcPo0KED9vb2NGzYkNOnTxv1f/75J61atcLJyQlfX19Wr15t1G3cuJHq1atjb2+Ph4cHM2fONOrmz5+Pj48PTk5OdOrUiYiICABju8NatWphZ2fHl19+SXR0NB07dsTV1ZVSpUrRsWNHsy1ARYYHybZb2BTluxpCCCFEQZNgPx9lNXNp416VpMQETpw4QVpaGl9++SVBQUHZ9nH58mViY2MJDw9n4cKFDBs2zEiEBbBy5UomTJhAdHQ0Pj4+jBs3DsjYl79Vq1b07t2bq1evsnLlSoYOHcqxY8cA+Ne//sW8efOIj4/n6NGjPPtsxkOiO3bsYMyYMaxevZpLly7h5eVFz549AYz9+A8fPkxCQgI9evQgPT2dgQMHEhYWxvnz57G1teXVV1/Nmy+wkAms48FPo5/l7LQO/DT62SIR6EPRvqshhBBCFDQJ9vNRdjOXbvVas2TJErZu3UrVqlXNEmXdzdramnfffRdra2vat2+PnZ2dsT0nQOfOnWnQoAFWVlb06dOHQ4cOAbB+/Xq8vb0ZOHAgVlZW1K1bly5duvD1118b/R4/fpy4uDhKlSpF3bp1AVi+fDkvvfQSdevWxcbGhqlTp7J3716zTK93cnZ2pkuXLpQoUQJ7e3vGjRvHrl27HuLbEoVVUb6rIYQQQhQ0CfbzUVYzmjaWFrwzfDArVqxg8eLFZkt4suLs7Gy2o06JEiWMLLsAZcuWzbIuLCyMffv2YTKZjNfy5cu5fPkyAN988w0bN27Ey8uLgIAA9u7N2M4vIiICLy8vo087OzucnZ0JD89655SbN28yePBgvLy8cHBwoHnz5sTExJCWlpZle1E0FdW7GkIIIURBk2A/H909o2llofhXswr8u0NDKlSowMaNG+ncuXO+nNvT05OAgABiYmKMV0JCgrFDT/369fn222+5evUqgYGBdO/eHQB3d3fCwsKMfm7cuMH169ezvfsQHBxMaGgo+/btIy4uzljqU5jyNwghhBBCPKkk2M9nd85olnUsThMfFwAWLlzIjh07KFmyZL6ct2PHjpw8eZKlS5eSkpJCSkoK+/fv58SJEyQnJ7N8+XJiY2OxtrbGwcEBS8uMOxC9e/dm0aJFHDp0iKSkJMaOHUvDhg3x9vYGoEyZMpw5c8Y4T3x8PLa2tphMJqKiopg0aVK+fB4hhBBCCPHgJNgvIJUqVcLPL/8Sr9nb2/PDDz+watUq3N3dKVu2LKNGjSIpKQmApUuX4u3tjYODA3PnzmXZsmUAPPfcc7z33nt06dIFNzc3Tp8+zapVq4x+J06cSP/+/TGZTKxevZrXX3+dxMREXFxcaNSoEW3bts23zySEEEIIIR6MKkzLLfz8/PSBAwcKehhCCJFveszLeL7my8H+BTwSIYQoupRSv2mt82/WNg/JzH4h0aJFCxYsWFDQw8jS4sWLadq0qfHezs7ObCmQEEIIIYTIHxLs56M9e/bQuHFjHB0dcXJyokmTJuzfv591B8NpMm0HFUZvoMm0Haw7mPVON9mZOHHifffmz4m4uDhef/11ypcvj52dHT4+Prz++utERkbmqt+cSEhIoGLFivl+HiGEEEKIok6C/XwSFxdHx44dee2114iKiiI8PJwJEybw05kYxqw5QnhMIhoIj0lkzJojDxzw50ZycjLPPfccx44dY/PmzcTFxfHzzz/j7OzMr7/++sD9paam5sMohRBCCCFEbkmwn09OnjwJQK9evbC0tMTW1pbWrVvz1VlLElPS0DqdmJ9XcXHOQE5+1JN//2sgsbGxAOzcuZNy5cqZ9eft7c22bdvYvHkzU6ZM4csvv8TOzo5atWoZbcLCwmjSpAn29va0bt0621n6JUuWcP78edauXUv16tWxsLCgdOnSjB8/nvbt2wMwbdo0KlWqhL29PdWrV2ft2rXG8YsXL6ZJkya88cYbODk5MXHiRGJjY+nXrx+urq54eXnx/vvvk56enuX5lVKcOnUKgAEDBjBs2DA6dOiAvb09DRs25PTp00bb4cOH4+npiYODA/Xq1SMkJORBfxU5tnjxYp566ilKlChB2bJleeWVV4iJicm38wkhhBBC5DcJ9vNJlSpVsLS0pH///mzatIno6GgAImISAbhxZBs3jmynTK+peAxewI0bCbz66qv/2G/btm0ZO3YsPXr0ICEhgcOHDxt1K1asYNGiRVy9epXk5GRmzpyZZR/btm2jbdu22NnZZXueSpUqERISQmxsLBMmTCAoKIhLly4Z9fv27aNixYpcvXqVcePG8dprrxEbG8uZM2fYtWsXS5YsYdGiRTn6rlauXMmECROIjo7Gx8eHcePGGXX169fn0KFDREVF0bt3b7p168atW7dy1O+DCA4OZtSoUcyYMYPY2Fh++eUXwsLCaNWqFcnJyfe0l7sZQgghhHgSSLCfTxwcHNizZw9KKQYNGoSrqyudOnXCxfJ2sH98Jw71A7E2lcWimC2+HQezatWqXAWRAwcOpEqVKtja2tK9e3cOHTqUZbvr16/j5uZ23766deuGu7s7FhYW9OjRg8qVK5st8XF3d+e1117DysqKYsWK8eWXXzJ16lTs7e3x9vZmxIgRLF26NEfj7ty5Mw0aNMDKyoo+ffqYjTsoKMjIIjxixAiSkpIIDQ3NUb85FRcXx4QJE/jkk09o27Yt1tbWeHt7s3r1asLCwli2bBkTJ06ka9euBAUF4eDgwOLFi4mNjeVf//oXbm5ueHh48M477xiZg9PS0hgxYgQuLi5UqFCB2bNno5Qyfr8RERF06tQJJycnfHx8mD9/vjGeiRMn0r17d/r164e9vT01atRAdpkSQgghxMOQYD8fVatWjcWLF3Px4kWOHj1KREQExX9bhq21JanxUVg6lgbA1tqS0d2akpqaypUrVx76fGXLljV+LlGiBAkJCVm2c3Z2Npulz8qSJUuoXbs2JpMJk8nE0aNHzZYFeXp6Gj9HRkaSnJyMl5eXUebl5UV4eM6eQ7jfuIODg6lWrRqOjo6YTCZiY2Pz/CHin3/+mVu3bt2TzdjOzo527dqxdetWAL799lu6du1KTEwMffr0oX///lhZWXHq1CkOHjzIDz/8YOyINH/+fDZt2sShQ4f4/fffWbdunVnfvXr1oly5ckRERPD1118zduxYtm/fbtR/99139OzZk5iYGDp16pSjuz5CCCGEEHeTYP8RqVq1KgMGDCAm/DRTOz9FyVKupMVexcNky9TOT1HbKQ0rKyvKlClDyZIluXnzpnFsWloa165dM94rpXI1lpYtW7JlyxZu3LiRZX1YWBiDBg1i9uzZXL9+nZiYGGrWrMmdORnuHIOLiwvW1taEhYUZZefPn8fDwyNX4wwJCWH69OmsXr2a6OhoYmJicHR0JK9zQ0RGRuLi4oKVldU9dW5ubsYfF/7+/gQGBmJhYUFcXBybNm1i1qxZlCxZktKlS/PGG28YCchWr17N8OHDKVeuHKVKlWL06NFGnxcuXGDPnj1Mnz6d4sWLU7t2bV5++WWzOyFNmzalffv2WFpa0rdvX7PlWkIIIYQQOSXBfj75888/CQ4O5uLFi0BGgLdy5UoaNWpEYB0PZo4eitPZrSzrUYGWlR2NdfhWVlZUqVKFW7dusWHDBlJSUnj//feNzLcAZcqU4dy5c9k+APtP+vbti6enJ126dOHPP/8kPT2d69evM2XKFDZu3MiNGzdQSuHq6grAokWLOHr0aLb9WVpa0r17d8aNG0d8fDxhYWF89NFHud4eND4+HisrK1xdXUlNTWXy5MnExcXlqs+suLi4EBkZmeUSqkuXLuHi4gKY380ICwsjJSUFNzc34+7H4MGDuXr1KpCxTOfO9nf+HBERgZOTE/b29kbZ3XdC7r7bcevWLXlOQAghhBAPTIL9fGJvb8++ffto2LAhJUuWpFGjRtSsWZPg4GAAXnrpJfr27Uvz5s2pUKECxYsX55NPPgHA0dGRzz77jJdffhkPDw9KlixptjtPt27dgIzlOHXr1n3gsdnY2LBt2zaqVq1Kq1atcHBwoEGDBkRGRtKwYUOqV6/OiBEj8Pf3p0yZMhw5coQmTZrct89PPvmEkiVLUrFiRZo2bUrv3r156aWXHnhsd2rTpg3t2rWjSpUqeHl5Ubx4cbOgOa/4+/tjY2PDmjVrzMpv3LjBpk2beO655wDzuxmenp7Y2NgQGRlJTEwMMTExxMXFcezYMSDjjkDmH3qQ8cdeJnd3d6KiooiPjzfK8uJOiBBCCCHE3VReL4koSH5+floeZMw5b29vFixYQMuWLQt6KAXuww8/JDg4mC+++ILnnnuO8PBwhg4dyuXLl9m7dy9Tp07l1KlTLFu2zDjmhRdewNvbm/feew87OzvOnj3LxYsXCQgIYM6cOcyePZsffviBkiVL0q1bN7Zt20ZKSgpWVlY0a9aMWrVqMXPmTE6ePEmrVq1YtmwZrVq1YuLEiWbnOnfuHBUqVDCOFUVbj3l7AfhysH8Bj0QIIYoupdRvWmu/gh5HTsjMvhDA22+/zZQpU3jrrbdwcHCgYcOGeHp6sn37dmxsbLI8ZsmSJSQnJ1O9enVKlSpF165djQefBw0aROvWrXn66aepU6cO7du3x8rKCktLSyBju9Fz587h7u7Oiy++yKRJk2jVqtUj+7xCCCGEKBpkZv8RWHcwnBlbQomIScTdZMvINr4E1in4JRuZM/vPPvssU6ZMYf78+SQmJtK2bVs++eQTHB0d6d+/P08//TQjRowgPDyccuXK8emnnzJ06FBOnTpFgwYNjId4+/bty759+0hNTaVJkybMnTv3nuRgRdWmTZsYMmSI2UPMQjwMmdkXQoiCJzP7wrDuYDhj1hwhPCYRDYTHJDJmzRHWHczZtpSPwuLFi1m8eDE//vgjZ86cISHh7wRfAQEB7Ny5E4Bdu3ZRsWJFdu3aBcDu3btp1qwZSinS09MZOHAgYWFhnD9/Hltb2yK9XWRiYiIbN24kNTWV8PBwJk2axIsvvljQwxJCCCFEESPBfj6bsSWUxJQ0s7LElDRmbMnbxFC5sXz5ct58800qVqyInZ0dU6dONRJ8BQQEEBISQnp6Ort37+btt9/mp59+AjKC/4CAACDjYeEuXbpQokQJ7O3tGTdunPFHwZNi3cFwmkzbQYXRG2gybUeu/iDTWjNhwgRKlSpFnTp1qFatGpMnT87D0QohhBBC/DMJ9vNZREziA5UXhIiIiHsSYmUm+KpUqRJ2dnYcOnSIkJAQOnbsiLu7O6GhoWbB/s2bNxk8eDBeXl44ODjQvHlzYmJijIyyj7u8vgNTokQJ9u/fT3x8PFevXmXRokU4ODjk7aCFEEIIIf6BBPv5zN1k+0DlBcHd3f2ehFiZCb4gYynP119/TXJyMh4eHgQEBLBkyRKio6OpXbs2kJHpNjQ0lH379hEXF8fu3bsB8jwBVn55Eu7ACCGEEEI8KAn289nINr7YWlualdlaWzKyjW8BjehevXr14v/+7/84e/YsCQkJZgm+ICPYnz17Ns2bNwegRYsWfPLJJzRt2tTYXSY+Ph5bW1tMJhNRUVFMmjSpwD7Pw3gS7sAIIYQQQjwoCfbzWWAdD6Z2fgoPky0K8DDZMrXzU4/FbjyZ7pfgCzKC/fj4eCPYb9q0KTdv3jTeA7z++uskJibi4uJCo0aNaNu27SP/HLnxJNyBEUIIIYR4ULL1phD8vWb/zqU8ttaWj90fZkJktfWmJMgTQohHS7beFOIJ8yTcgRH5x9vbmzJlynDjxg2jbMGCBbRo0SLfztmnTx9eeukls7Jdu3bh7OxsJGcTQgghcsuqoAcgCt7jmvTrUQus41EkP7fIkJqayn//+1/Gjh37SM738ccfU6NGDbZu3UqrVq24desWgwYNIjg4GDc3txz1kZqaajxbI4QQQmRFZvYLwIABA3jnnXfy/Tznzp1DKUVqamq2bZ6EpF9CPAojR45k5syZxMTEZFn/559/0qpVK5ycnPD19WX16tUAnD17FpPJRHp6OgAvv/wypUuXNo4LCgpi1qxZ9/Tn7OzMJ598wr///W9u3LjBpEmTqFSpEgMGDOC7776jRo0amEwmWrRowYkTJ4zj1o/tzIktS3n66acpWbLkPf///vPPP6lQoQKrVq3K5TcihBCiMJBg/yEVxG3//CBbTgqRwc/PjxYtWjBz5sx76m7cuEGrVq3o3bs3V69eZeXKlQwdOpRjx45RoUIFHBwcOHjwIAAhISHY2dkZAfru3buNfBR369atG/Xq1aNXr158/vnnzJs3j5MnT9KrVy9mzZrFtWvXaN++Pc8//zzJycnGcRf2b2PDhg3ExMSYzez//vvvtG7dmk8++YSePXvm5dcjhBDiCSXBfi5k3vbP73PkJ9lyUoi/TZ48mU8++YRr166Zla9fvx5vb28GDhyIlZUVdevWpUuXLnz99ddAxo5Vu3bt4vLlywB07dqVXbt2cfbsWeLi4qhVq1a25/z000/ZsWMH7777LuXLl+fLL7+kQ4cOtGrVCmtra9566y0SExP5+eefjWN8numGp6cntrZ/7xYVEhJCp06d+OKLL+jYsWNefi1CCCGeYBLs58L9bvtnd8s/U2RkJK1atcLe3p6AgACzpFZKKT799FMqV65M5cqVARg+fDienp44ODhQr149QkJCjPa//vorfn5+ODg4UKZMGd58880sx/vNN9/g7e3N0aNHOX36NM8++ywXP+7FhY97c+37GaTfSjDaypaToiiqWbMmHTt2ZNq0aWblYWFh7Nu3D5PJZLyWL19uBPcBAQHs3LmT3bt307x5c1q0aMGuXbvYtWsXzZo1w8Ii+//UlilTBhcXF2rUqAHcm9HawsICT09PwsP/XlpXolTpe/qZO3cujRs35plnnsnVdyCEEKJwkWA/F7K77X+/W/6Zli9fzvjx44mMjKR27dr06dPHrI9169axb98+jh8/DkD9+vU5dOgQUVFR9O7dm27dunHr1i0g4w+B4cOHExcXx+nTp+nevfs9Y120aBGjRo1i27Zt1KxZE601Y8aMYcWPh6g4ZB5pcZHE7FkBPH5Jv4R4lCZNmsT8+fPNgmtPT08CAgKIiYkxXgkJCcyZMwfICPZDQkLYuXMnAQEBNG3alJ9++oldu3Zlu4QnO3dntNZac+HCBTw8/n54XCl1z3Fz587l/PnzvPHGGw/6kYUQQhRiEuznUla3/f/plj9Ahw4daN68OTY2NnzwwQfs3buXCxcuGPVjxozBycnJuE0fFBSEs7MzVlZWjBgxgqSkJEJDM9bVW1tbc+rUKSIjI7Gzs6NRo0ZmY5w1axYzZsxg586d+Pj4AODj40OrVq3o1rAiM/o2w7tFd5IuHJUtJ0WR5+PjQ48ePfj444+Nso4dO3Ly5EmWLl1KSkoKKSkp7N+/31iXX7lyZWxtbVm2bBnNmzc37rJ98803Dxzsd+/enQ0bNrB9+3ZSUlIIDg7GxsaGxo0b3/c4e3t7Nm/ezO7duxk9evSDf3AhhBCFkgT7uZTVbf9/uuUPGTOFmezs7HByciIiIiLLeoDg4GCqVauGo6MjJpOJ2NhYIiMjAVi4cCEnT56katWq1K9fn/Xr15sdO2PGDIYNG0a5cuWMsqtXr9KzZ088PDzoF1CNi2s/pHSxZH4a/awE+qLIe/fdd80evre3t+eHH35g1apVuLu7U7ZsWUaNGkVSUpLRJiAgAGdnZ8qXL2+811pTp06dBzq3r68vy5Yt47XXXsPFxYXvv/+e77//nmLFiv3jsSaTia1bt7Jp0ybGjx//QOcVQghROMkGzXlg0qRJ1K1blxEjRgB/3/LfunVrtsfcOYufkJBAVFQU7u7uRtmdt+lDQkKYPn0627dvp0aNGlhYWFCqVCkysx9XrlyZlStXkp6ezpo1a+jatSvXr183jv/hhx9o27YtZcuWpUuXLkDGnQOlFH/88QfOzs6sW7eOV199NW++ECGeMOfOnTN77+npaSyTy+Tr68uGDRuy7WPlypVm72fOnJnlzj45Of+LL77Iiy++mGXbjlPW3Pd4JycnDh8+nKPzCiGEKPxkZj8P3H3b/59u+QNs3LiRPXv2kJyczPjx42nYsOE9s/mZ4uPjsbKywtXVldTUVCZPnkxcXJxRv2zZMq5du4aFhQUmkwkAS0tLo75GjRps3ryZYcOG8d133xl92tnZYTKZCA8PZ8aMGXn9tQjxxFl3MJwm03ZQYfQGmkzbIfkmhBBCPPEk2M8jd972z8kt/969ezNp0iScnJz47bffWL58ebZ9t2nThnbt2lGlShW8vLwoXry42R8GmzdvpkaNGtjZ2TF8+HBWrVpF8eLFzfqoVasW69evZ9CgQWzatIkJEybw+++/4+joSIcOHejcuXMefyNCPFkkwZwQQojCSGUuBSkM/Pz89IEDBwp6GEKIJ1CTaTsIzyK/hIfJlp9GP1sAI8paj3l7AfhysH8Bj0QIIYoupdRvWmu/gh5HTsjMvhBCIAnmhBBCFE7ygG4urDsYzowtoUTEJOJusmVkG1/ZyUaIJ5S7yTbLmX1JMCeEEOJJJjP7D0nW9wpRuIxs44uttaVZmSSYE0II8aSTYP8hzdgSSmJKmllZYkoaM7aEPnBfISEh+PreG1AopTh16tRDjzG32rVrxxdffJFl3YABA3jnnXeA7MefF7y9vdm2bZvxftWqVZQqVYpdu3bly/lE0RVYx4OpnZ/Cw2SLAkkwJ4QQolCQYP8heHt788t7XUhP/nsf7vjDW7i8YrSxvnfq1Km0b9/e7LjKlStnWRYeHo6bmxsLFizI1bhOnjxJt27dcHFxwdHRkaeffpqPPvqItLS0fz44C5s2baJ///7/2K5Zs2ZGNt/89MUXXzBs2DA2bNjwwFlJhciJwDoe/DT6Wc5O6yAJ5oQQQhQKEuw/JAudRvxv391Tnrm+t3nz5vz0009GoH358mVSUlL4/fffzcpOnTpF06ZNcz2e06dPG3v1HzlyhNjYWL766isOHDhAfHz8A/f3sH8g5JfPP/+cESNGsGXLFho3bgxkfOZnn30WZ2dnXFxc6NOnDzExMcYx3t7ezJw5k6effhpHR0d69OhhJEqKjIykY8eOmEwmnJycaNasGenp6QBMmzaNSpUqYW9vT/Xq1Vm7dq3R56lTpwgICMDR0REXFxd69Ojx6L4EIYQQQogHlK/BvlKqrVIqVCl1Sik1Oot6pZT6+Hb9H0qpunfUnVNKHVFKHVJKPXb7afZ8eRhxv64h/VaCUWahlLG+NzU1lYSEBBwdHalfvz7z58/nmWeewdfXlwYNGjBu3DgCAgJQSjFgwAB27drFq6++ip2dHY0bN8bDI2NGsUmTJnh4eFCqVCleeeUVPvjgAyMQrVevnpGJd+jQoWitWbhwIZ06deLnn3/G19eXFStWEBgYyPjx43FxccHCwgIrKyv8/f05duwYt27dIigoiOLFi2NjY4PJZKJEiRL8+OOPNGjQAF9fX0wmEx4eHlSvXp233nqLUqVK8c033xhLjHbu3Em5cuWM7+F+QXZ0dDQdO3bE1dWVUqVK0bFjRy5evHjf73rOnDmMHz+e7du34+f39y5XWmvGjBlDREQEJ06c4MKFC0ycONHs2NWrV7N582bOnj3LH3/8weLFiwEIDg6mXLlyXLt2jStXrjBlyhQja3GlSpUICQkhNjaWCRMmEBQUxKVLlwAYP348rVu3Jjo6mosXL/Laa6890HUjhBBCCPEo5Vuwr5SyBD4F2gHVgV5Kqep3NWsHVL79+jcw5676Z7TWtR/HfUz7d3qO+v5N0X98jwJKlbCmomtJAut4EBUVRWBgIL6+vkycOJE333yT999/nzp16tC0aVNiY2NZunQp9erVo1+/fowePZpixYoxe/ZsfvvtNy5cuMD+/fuBjOy369ev5/DhwyxZsoQFCxawceNG4uLi+N///keJEiWIiopi69atdOvWjevXr/Pmm2/SoUMHrl+/box3xYoVvPnmm1y+fJnGjRuTkpJCnz59+OKLL4iNjaVr167Y2NgQHBxMREQEDRs25MiRI1SvXp2rV6/Sp08fTpw4gaOjI5GRkdSoUYMNGzaQXZ6G7ILs9PR0Bg4cSFhYGOfPn8fW1pZXX331vt/11q1badSoEU899ZRZuY+PD61atcLGxgZXV1fefPPNe9by/+c//8Hd3R0nJyeef/55Dh06BIC1tTWXLl0iLCwMa2trmjVrZgT73bp1w93dHQsLC3r06EHlypX59ddfjePCwsKIiIigePHieXJXRgghhBAiv+TnzH4D4JTW+ozWOhlYBbxwV5sXgCU6wy+ASSnllo9jylMLPp5B3G/f8+uIBoxuVw0XOxsANmzYQOXKlenevTs//fQTvXr1wsrKips3b9KsWTNiYmIYMGAAx44d45lnnsHK6u8dUC0tLUlKSuL48eMATJ48mTp16lC+fHksLCxo1qwZvr6+KKWoVasWzs7ORtDdpUsXrKys6NWrF1WrVuX77783+h04cCBjx46ldOnS9OzZE5PJxOHDh0lJSeH69evExcURGBjIv/71L0wmE4cOHSItLY127dpRrFgxqlevjp2dHWlpaVhaWuLj40NCQgJXrlzJ8rvJLsh2dnamS5culChRAnt7e8aNG/ePD9vOnTuXkydP8vLLL5v9cXH16lV69uyJh4cHDg4OBAUFERkZaXZs2bJljZ9LlChBQkLGnZiRI0fi4+ND69atqVixItOmTTPaLVmyhNq1a2MymTCZTBw9etTo98MPP0RrTYMGDahRowb/+9//7jt2IYQQQoiClJ/Bvgdw4Y73F2+X5bSNBn5QSv2mlPp3didRSv1bKXVAKXXg2rVreTDsnKtZsyYdO3Y0CxQBIiIi8PLyonnz5uzZs4fo6GjS09NJS0ujcePGxMXF4eTkxNGjR2nevLnZsT4+PsyaNctYjjJt2jQiIiIASExMpHjx4veMIyIiAhsbG2OpCYCXlxfh4X9vA1q6dGlGjx5NpUqVGDFiBDt37gSgZcuWtGnTht27d7N27VrefvttUlJSjD4tLP6+RBwdHY0+M/9AyQye75ZdkH3z5k0GDx6Ml5cXDg4ONG/enJiYmPs+I1C6dGm2b99OSEgIQ4cONcrHjBmDUoo//viDuLg4li1blu2dhrvZ29sTHBzMmTNn+P777/noo4/Yvn07YWFhDBo0iNmzZ3P9+nViYmKoWbOm0W/ZsmWZP38+ERERzJs3j6FDhxbojklCCCGEEPeTn8G+yqLs7kjsfm2aaK3rkrHUZ5hSqnkWbdFaf6619tNa+7m6uj78aB/SpEmTmD9/vllg7e7uTlhYGP7+/sTGxvL5559TokQJYwbaxsaGkJAQ3N3dqVChwj199u7dmz179hjvR40aBUDJkiWJjo6+p727uzt2dnZ88803Rtn58+eNdf8A+/bt49tvv2Xbtm189tlnxtp3KysrJkyYQGBgIP3792f9+vUsWbIEd3d3kpKSjIdWAZKSksz6fBjBwcGEhoayb98+4uLi2L17N8A/Bunu7u7s2LGDzZs388YbbwAQHx+PnZ0dJpOJ8PBwZsyYkeNxrF+/nlOnTqG1xsHBAUtLSywtLblx4wZKKTKvpUWLFnH06FHjuK+++sp4xqBUqVIopbC0tMzyHEIIIYQQBS0/g/2LgOcd78sBETlto7XO/N+rwFoylgU9dnx8fOjRowcff/yxUda+fXtOnjzJ2rVrqVevHlOnTuXmzZt07NgRAAcHB7Zu3Wo2q29pacmZM2cIDQ1lx44dJCUlAVC8eHEjmKxcuTK7d+/mr7/+QmvNH3/8wfXr12nfvj3Jycns3LmTESNGMG/ePI4fP0716tUJCgoiNTWVW7duYWNjg7OzM8nJyYSFhQHwyy+/cOTIEdLT07GxscHa2hpLS0saNmyIpaUlW7ZsISUlhT///JOoqCh69uyZq+8rPj4eW1tbTCYTUVFRTJo0KcfHenp6smPHDr7++mvGjBnDhAkT+P3333F0dKRDhw507tw5x3399ddftGzZEjs7O/z9/Rk6dCgtWrSgevXqjBgxAn9/f8qUKcORI0do0qSJcdz+/ftp2LAhdnZ2dOrUif/+979Z/sFWkOzs7IyXhYUFtra2xvvly5cX9PCEEEII8QhZ/XOTh7YfqKyUqgCEAz2B3ne1+Q54VSm1CmgIxGqtLymlSgIWWuv42z+3Bibn41hz5d1332Xp0qXGe2dnZ9avX8/w4cM5evQoycnJLFiwABcXFyBjOUxERIRZsG9nZ8fXX3/N7NmzsbW15ebNmwBcv37d+EMic91869atiYyMpGrVqqxdu5Zy5cqxceNGBg8ezMcff4zWGhsbGwYNGsTAgQO5cOEC/v7+JCQk4OHhQbFixXB2duby5ctcu3aNrl27cubMGWxsbHjppZcICgrCysqKmjVrcuTIEVxcXChZsiRVqlShatWqufquXn/9dXr37o2Liwvu7u6MGDGCdevWZdv+3LlzZu8rVKhg7EAE8Ntvv5nVx8fHExQUxLJly+459k5vvPGGcYfgbh988AHh4eGUK1eO999/36zuww8/5MMPP8y238fBnUurvL29WbBgAS1btizAEQkhhBCiwGit8+0FtAdOAqeBcbfLhgBDbv+syNix5zRwBPC7XV4ROHz7dSzz2H961atXT4vCae3vF3Xjqdu196j12qfrSF3ex1fb2trqMmXK6CFDhujo6GittdYTJkzQffr0ybKP+9XdrX///nrcuHF5NfwC4+Xlpbdu3aq11jotLU1PnTpVV6xYUTs5Oelu3brp69eva621Pnv2rAb04sWLtaenp3Z2dtbvv/++0c+ECRN0t27ddN++fbWdnZ2uXr263r9/v1EfHh6uO3furF1cXLS3t7f+73//a9Tt27dP16tXT9vb2+vSpUvrN954Q2utdWJiou7Tp492cnLSjo6O2s/PT1++fFlrrXVMTIx+6aWXdNmyZbW7u7seN26cTk1NNfpcuHChrlq1qjaZTLp169b63Llz+fclPma6z/1Zd5/7c0EPQwghijTggM7HGDovX/m6z77WeqPWuorWupLW+oPbZXO11nNv/6y11sNu1z+ltT5wu/yM1rrW7VeNzGNF0bTuYDhj1hwhPCaR2F/XcGbjfNLrB7Fk53F++eUXwsLCaNWqFcnJyQU91Mfaxx9/zLp169i1axcRERGUKlWKYcOGmbXZs2cPoaGhbN++ncmTJ3PixAmj7rvvvqNnz57ExMTQqVMnY8vU9PR0nn/+eWrVqkV4eDjbt29n1qxZbNmyBYDhw4czfPhw4uLiOH36NN27dwcwtn29cOEC169fZ+7cudjaZiSl69+/P1ZWVpw6dYqDBw/yww8/GBmm161bx5QpU1izZg3Xrl2jWbNm9OrVK9+/PyGEEOJJJBl0c2HdwXCaTNtBhdEbaDJtB+sOhueqncjajC2hJKakkZ50k5g9K3BqORjL8nX4vx1n8Pb2ZvXq1YSFhbFs2TKz41JSUujVqxddunTJ8g+Bbt26UbZsWRwdHWnevDnHjh0zq4+OjqZDhw7Y29vTsGFDTp8+bdT9/PPP1K9f30ia9vPPPxt1LVq04J133qFx48bY2dnx/PPPc/36dfr06YODgwP169c3W2I0fPhwPD09cXBwoF69eoSEhOTRN2du3rx5fPDBB5QrVw4bGxsmTpzI119/TWpqqtFmwoQJ2NraUqtWLWrVqsXhw4eNuqZNm9K+fXssLS3p27evUbd//36uXbvGu+++S7FixahYsSKDBg1i1apVQEZuglOnThEZGYmdnR2NGjUyyq9fv86pU6ewtLSkXr16ODg4cOXKFTZt2sSsWbMoWbIkpUuX5o033jD6mzdvHmPGjKFatWpYWVkxduxYDh06ZDyHIoQQQoi/SbD/kO6cbdZAeEwiY9YcuSeQz2k7kb2ImEQAksJPoFOTKeHb2Kzczs6Odu3asXXrVuOYxMREAgMDsbGxYfXq1RQrVuyeftu1a8dff/3F1atXqVu3Ln369DGrX7lyJRMmTCA6OhofHx/GjRsHQFRUFB06dOA///lPtknMVq1axdKlSwkPD+f06dP4+/szcOBAoqKiqFatmtmDyfXr1+fQoUNERUXRu3dvunXrZmQczkthYWG8+OKLRv6AatWqYWlpaZYrIbstU7Oqu3XrFqmpqUaSscx+TSYTU6ZMMfpduHAhJ0+epGrVqtSvX5/169cD0LdvX9q0aUPPnj1xd3c3tn0NCwsjJSUFNzc3o7/Bgwdz9epV43MMHz7cqHNyckJrbbYjlhBCCCEySLD/kDJnm++UmJLGjC2hD9VOZM/dlLG0Iy0xDosSDigLS7NyADc3NyPxVVxcHG3btqVSpUosWrQo260xX3rpJezt7Y1Z7sOHDxMbG2vUd+7cmQYNGmBlZUWfPn2MxGCZSdP69u173yRmlSpVwtHRkXbt2lGpUiVatmyJlZUV3bp14+DBg0bboKAgnJ2dsbKyYsSIESQlJREamvfXh6enJ5s2bSImJsZ43bp1K9fbqXp6elKhQgWzfuPj49m4cSOQsYvUypUruXr1KqNGjaJr167cuHEDa2trJkyYwPHjx/n555+NbV89PT2xsbEhMjLS6C8uLs648+Lp6cm8efPMzpeYmEjjxo1z/R0JIYQQhY0E+w8pc1b5n8pz2k5kb2QbX2ytLbG0dSD9Zhw6PQ1ba0tGtvE12ly6dMnY7eiXX37hjz/+YPTo0SiVVSoHSEtLM5KMOTg44O3tDWCWgTe7We7MpGl3ujuJWZkyZYyfbW1t73l/54x5cHAw1apVw9HREZPJRGxs7D2ZgPPCkCFDGDdunLHc5dq1a3z77be57rdBgwY4ODgwffp0EhMTSUtL4+jRo+zfvx+AZcuWce3aNSwsLDCZTEDGVrM//vgjR44cIS0tDQcHB2PbVzc3N1q3bs2IESOIi4sjPT2d06dPG5mWhwwZwtSpU43gPzY2lq+++irXn0MIIYQojCTYf0h3zirfrzyn7UT2Aut4MLXzU3hXr42ysqb4xQNM7fwUgXUyZqRv3LjBpk2beO655wBo3bo1Y8aM4bnnnjNbonKnFStWGEnGYmNjjTX0OgcZeDOTpt3p7iRmORUSEsL06dNZvXo10dHRxMTE4OjomONMwA9i+PDhdOrUidatW2Nvb0+jRo3Yt29frvu1tLTk+++/59ChQ1SoUAEXFxdefvll4y7J5s2bqVGjBnZ2dgwfPpxVq1ZRvHhxLl++TNeuXXFwcKBatWoEBAQQFBQEwJIlS0hOTqZ69eqUKlWKrl27GhmiX3zxRUaNGkXPnj1xcHCgZs2abNq0KdefQwghhCiM8nOf/UJtZBtfxqw5YrZE5+7Z5gdpJ+4vsI4HgXU8+LDEZIKDgynerzEpKaUJDw9n6NChlCtXjr59+zJ16lQA3n77bZKSknjuuefYuXOnMeufKT4+3kgydvPmTcaOHZvjsbRv357XXnuNFStW0L17d7755huOHz9uJE17EPHx8VhZWeHq6kpqairTpk0jLi7ugfvJzp0PAltYWPDmm2/y5ptv3tPO29v7nj8wdu7cafw8ceLE+7Z3d3dn5cqVWY7h7genM/Xq1SvbXXQcHR2ZM2cOc+bMybK+b9++9O3bN8s6IYQQQvxNZvYfUuZss4fJFgV4mGzNZpsftJ3ImbfffpspU6bw1ltv4eDgQMOGDfH09GT79u3Y2NiYtR0/fjyBgYG0bNmSqKgos7p+/frh5eWFh4cH1atXN3aIyYnMpGnBwcE4Ozvz4Ycfsn79+nv+oMiJNm3a0K5dO6pUqYKXlxfFixfH09Pznw8UQgghhMgBlR/LBQqKn5+fPnDgQEEPQ4jHxrqD4czYEkpETCLuJltGtvGVPzSfcD3m7QXgy8H+BTwSIYQoupRSv2mt/Qp6HDkhy3iEKKQyt33NXEKWue0rIAG/EEIIUURIsC+eODJbnTP32/ZVvi8hhBCiaJBgXzxRZLY652TbVyGEEELIA7riiSJJynJOtn0VQgghhAT74okis9U5l5mM7E6y7asQQghRtEiwL54oMludc7LtqxBCCCFkzb54okiSsgeTmYxMCCGEEEWTBPviiZIZuMpuPEIIIYQQ/0yCffHEkdlqIYQQQoickTX7QgghhBBCFFIS7AshhBBCCFFISbAvhMgRpRSnTp3K13MsX76c1q1b5+s5hBBCiKJEgn2RaxMnTiQoKAiA8+fPY2dnR1pa2j8cJTJ5e3tja2uLnZ0dZcqUYeDAgSQkJBT0sApEnz59+OGHHwp6GEIIIUShIcG+MHh7e7Nt27Zc9VG+fHkSEhKwtLT858bC8P3335OQkMDvv//O/v37ef/99wt6SEIIIYQoBCTYF+Ix4uHhQbt27Th69Ci//PILjRs3xmQyUatWLXbu3Gm0a9GiBePHj6dJkybY29vTunVrIiMjATh37hxKKb744gvKly+Pi4sLH3zwgXHsr7/+ip+fHw4ODpQpU4Y333wTgA4dOvDJJ5+Yjefpp59m3bp1ZmW//PILZcuWNbt7s3btWp5++mmjf39/f0wmE25ubrz66qskJycbbZVSzJ07l8qVK1OqVCmGDRuG1hqAxYsX07RpU6Pt8OHD8fT0xMHBgXr16hESEpKLb1cIIYQoeiTYF/fIDLjeeustSpUqRYUKFdi0aZNRf/bsWQICArC3t6dVq1ZGkAl/B5qpqakALFq0iGrVqmFvb0/FihWZN2+e0Xbnzp2UK1eO4OBgSpcujZubG4sWLTLqN2zYQJ06dXBwcMDT05OJEyfm/4cvYBcuXGDjxo24ubnRoUMH3nnnHaKiopg5cyZdunTh2rVrRtsVK1awaNEirl69SnJyMjNnzjTra8+ePYSGhrJ9+3YmT57MiRMngIwAevjw4cTFxXH69Gm6d+8OQP/+/Vm2bJlx/OHDhwkPD6d9+/Zm/TZq1IiSJUuyY8cOs7H07t0bAEtLS/7v//6PyMhI9u7dy/bt2/nss8/M+li/fj379+/n8OHDrF69mi1btmT5fdSvX59Dhw4RFRVF79696datG7du3XrQr1UIIYQosiTYF1nat28fvr6+REZG8vbbb/Ovf/3LmH3t3bs39erVIzIykvHjx/PFF19k20/p0qVZv349cXFxLFq0iDfeeIPff//dqL98+TKxsbGEh4ezcOFChg0bRnR0NAAlS5ZkyZIlxMTEsGHDBubMmXPPLHNhERgYiMlkomnTpgQEBFCuXDnat29P+/btsbCwoFWrVvj5+bFx40bjmIEDB1KlShVsbW3p3r07hw4dMutzwoQJ2NraUqtWLWrVqsXhw4cBsLa25tSpU0RGRmJnZ0ejRo0AeOGFF/jrr7/466+/AFi6dCk9evSgWLFi94y3V69erFy5EoD4+Hg2btxIr169AKhXrx6NGjXCysoKb29vBg8ezK5du8yOHz16NCaTifLly/PMM8/cM/ZMQUFBODs7Y2VlxYgRI0hKSiI0NPTBv2AhhBCiiJJgX2TJy8uLQYMGYWlpSf/+/bl06RJXrlzh/Pnz7N+/n/feew8bGxuaN2/O888/n20/HTp0oFKlSiilCAgIoHXr1mZLMaytrXn33Xextramffv22NnZGcFcixYteOqpp7CwsODpp5+mV69e9wSNhcW6deuIiYkhLCyMzz77jCtXrvDVV19hMpmM1549e7h06ZJxTNmyZY2fS5Qocc9DvdnVL1y4kJMnT1K1alXq16/P+vXrAbCxsaF79+4sW7aM9PR0Vq5cSd++fbMcb+/evVmzZg1JSUmsWbOGunXr4uXlBcDJkyfp2LEjZcuWxcHBgbFjx5rd/cnJ2DMFBwdTrVo1HB0dMZlMxMbG3tOXEEIIIbInwb7I0t3BGEBCQgIRERGUKlWKkiVLGvWZQV5WNm3aRKNGjXBycsJkMrFx40azYC1z1vbOc2UGfvv27eOZZ57B1dUVR0dH5s6dW2QCPU9PT/r27UtMTIzxunHjBqNHj85135UrV2blypVcvXqVUaNG0bVrV27cuAFkLOVZvnw527dvp0SJEvj7+2fZR/Xq1fHy8mLTpk1mS3gAXnnlFapWrcpff/1FXFwcU6ZMMe4KPYiQkBCmT5/O6tWriY6OJiYmBkdHx4fqSwghhCiqJNgXD8TNzY3o6GgjOISM7TazkpSURJcuXXjrrbe4cuUKMTExtG/fPsfBWu/evenUqRMXLlwgNjaWIUOGFJlALygoiO+//54tW7aQlpbGrVu32LlzJxcvXsx138uWLePatWtYWFhgMpkAjN2T/P39sbCwYMSIEdnO6mfq3bs3H3/8Mbt376Zbt25GeXx8PA4ODtjZ2fHnn38yZ86chxpnfHw8VlZWuLq6kpqayuTJk4mLi3uovoQQQoiiSoJ98UC8vLzw8/NjwoQJJCcns2fPHr7//vss2yYnJ5OUlISrqytWVlZs2rTpgfZQj4+Px8nJieLFi/Prr7+yYsWKvPoYjz1PT0++/fZbpkyZgqurK56ensyYMYP09PRc971582Zq1KiBnZ0dw4cPZ9WqVRQvXtyo79evH0eOHDFyJ2SnV69e7Ny5k2effRYXFxejfObMmaxYsQJ7e3sGDRpEjx49Hmqcbdq0oV27dlSpUgUvLy+KFy+Op6fnQ/UlhBBCFFWqMM2U+vn56QMHDhT0MJ5Y3t7eLFiwgIsXL7JgwQL27Nlj1Cml+Ouvv/Dx8eHMmTP079+fgwcP4u/vj6+vLzExMSxbtoxz585RoUIFUlJSsLKy4tNPP2Xy5MkkJSXx/PPPk5KSgo+PD++//z47d+4kKCjIbLY6cwwtW7bk66+/ZsSIEURFRREQEIC3t7dxHpF/lixZwueff272+xePjx7z9gLw5eCsl1gJIYTIf0qp37TWfgU9jpyQYF+Ix8S6g+HM2BJKREwi7iZbRrbxJbCOxyMdw82bN3n22WcZOnQo/fr1e6TnFjkjwb4QQhS8JynYl2U8QjwG1h0MZ8yaI4THJKKB8JhExqw5wrqD4Y9sDFu2bMHV1ZUyZcqYPXArhBBCiCeX1T83EUXN4zDDXNTM2BJKYkqaWVliShoztoQ+su++TZs2Zg9eCyGEEOLJJzP7wszjMMNcFEXEJD5QuXg4Q4YM4b333ivoYRget/EIIYQofGRmX5h5HGaYiyJ3ky3hWQT27ibbAhjNk8nb25uIiAgiIiLMdgeqXbs2hw8f5uzZs8ydO7cAR3ivx208QgghCh+Z2RdmZIa5YIxs44uttaVZma21JSPb+BbQiJ5MFSpUYOXKlcb7I0eOkJj4eF67aWlp/9xICCGEyCUJ9oWZ7GaSZYY5fwXW8WBq56fwMNmiAA+TLVM7PyV3Ux5Q3759WbJkifH+iy++MNtVaMCAAbzzzjsAREZG0rFjR0wmE05OTjRr1szIYzB9+nQ8PDywt7fH19eX7du3AxmJ4l5//XXc3d1xd3fn9ddfJykpCYDFixfTtGlTs/EopTh16pRx7ldeeYX27dtTsmRJfvzxR7PxCCGEEPlBgn1hRmaYC05gHQ9+Gv0sZ6d14KfRz0qg/xAaNWpEXFwcJ06cIC0tjS+//DLb5GDBwcGUK1eOa9euceXKFaZMmYJSitDQUGbPns3+/fuJj49ny5YteHt7A/DBBx/wyy+/cOjQIQ4fPsyvv/7K+++/n+PxrVixgnHjxhEfH3/PHwZCCCFEfpBgX5iRGWbxpMuc3d+6dStVq1bFwyPra9fa2ppLly4RFhaGtbU1zZo1QymFpaUlSUlJHD9+nJSUFLy9valUqRIAy5cv591336V06dK4uroyYcIEli5dmuOxvfDCCzRp0gQLCwuzrMVCCCFEfpEHdMU9Aut4SHAvnlh9+/alefPmnD179r6JwUaOHMnEiRNp3bo1AP/+978ZPXo0Pj4+zJo1i4kTJ3Ls2DHatGnDRx99hLu7OxEREXh5eRl9eHl5ERERkeOxeXp6PvwHE0IIIR6CzOwLIQoVLy8vKlSowMaNG+ncuXO27ezt7QkODubMmTN8//33fPTRR8ba/N69e7Nnzx7CwsJQSjFq1CgA3N3dCQsLM/o4f/487u7uAJQsWZKbN28adZcvX77nnEqpPPmMQgghRE5JsC+EKHQWLlzIjh07KFmyZLZt1q9fz6lTp9Ba4+DggKWlJZaWloSGhrJjxw6SkpIoXrw4tra2WFpmPMfSq1cv3n//fa5du0ZkZCSTJ082ngmoVasWx44d49ChQ9y6dYuJEyc+io8qhBBC3JcE+0KIQqdSpUr4+fndt81ff/1Fy5YtsbOzw9/fn6FDh9KiRQuSkpIYPXo0Li4ulC1blqtXrzJlyhQA3nnnHfz8/Hj66ad56qmnqFu3rrGbTpUqVXj33Xdp2bIllStXlgdwhRBCPBaU1rqgx5Bn/Pz89IEDBwp6GEIIkW96zNsLwJeD/Qt4JEIIUXQppX7TWt9/VukxITP7QgghhBBCFFKyG48QolBZdzCcGVtCiYhJxN1ky8g2vrK7lBBCiCJLgn0hRKGx7mA4Y9YcITElDYDwmETGrDkCIAG/EEKIIkmW8QghCo0ZW0KNQD9TYkoaM7aEFtCIhBBCiIIlwb4QotCIiEl8oHIhhBCisJNgXwhRaLibbB+oXAghhCjsJNgXQhQaI9v4YmttaVZma23JyDa+BTQiIYQQomDJA7pCiEIj8yFc2Y1HCCGEyCDBvhCiUAms4yHBvRBCiCeKUqoP0F9r3Tqv+5ZlPEIIIYQQ4ong7e1NmTJluHHjhlG2YMECWrRoke/nLVasGJGRkWblSqlDSimtlPLOTf9a6+X5EeiDBPtCCCGEEOIJkpqayn//+99Hft4KFSqwcuVK471S6ingsd8BQoJ9IYQQQgjxxBg5ciQzZ84kJiYmy/o///yTVq1a4eTkhK+vL6tXrwbg7NmzmEwm0tPTAXj55ZcpXbq0cVxQUBCzZs3K9rx9+/ZlyZIldxb1B8wKlFI2SqmZSqnzSqkrSqm5Sinb23UblVLBd7T9Uin1v9s/D1BK7bmjroZSaqtSKup2P2Pv6H+WUiri9muWUsrmft+XBPtCCCGEEOKJ4efnR4sWLZg5c+Y9dTdu3KBVq1b07t2bq1evsnLlSoYOHcqxY8eoUKECDg4OHDx4EICQkBDs7Ow4ceIEALt37yYgICDb8zZq1Ii4uDijPdADWHZXs+lAFaA24AN4AO/ernsJ6KuUevb2Gv36wPC7z6OUsge2AZsB99v9bL9dPQ5odLv/WkAD4J1sB40E+0IIIYQQ4gkzefJkPvnkE65du2ZWvn79ery9vRk4cCBWVlbUrVuXLl268PXXXwMQEBDArl27uHz5MgBdu3Zl165dnD17lri4OGrVqnXf894xu+8A/AmEZ9YppRQwCHhDax2ltY4HpgA9AbTWl4EhwBfAf4F+t9vcrSNwWWsdrLW+pbWO11rvu13XB5istb6qtb4GTAL63m/MshuPEEIIIYR4otSsWZOOHTsybdo0qlWrZpSHhYWxb98+TCaTUZaamkrfvhnxcEBAAN999x3lypWjefPmtGjRgqVLl1K8eHGaNWuGhcX958H79u1L8+bNAVyA9+6qdgVKAL9lxP0AKODOBDDrgdlAqNZ6D1nzBE5nU+cOhN3xPux2WbZkZl8IIYQQQjxxJk2axPz58wkPNybX8fT0JCAggJiYGOOVkJDAnDlzgIxgPyQkhJ07dxIQEEDTpk356aef2LVr132X8GTy8vKiQoUKAI7AmruqI4FEoIbW2nT75ai1trujzQfACcBNKdUrm9NcACplUxcBeN3xvvztsmxJsC+EEEIIIZ44Pj4+9OjRg48//tgo69ixIydPnmTp0qWkpKSQkpLC/v37jXX2lStXxtbWlmXLltG8eXMcHBwoU6YM33zzTY6CfYCFCxdCxsz8jTvLtdbpwHzg/5RSpQGUUh5KqTa3f24ODAT63X59opTKKjHMeqCsUur12w/k2iulGt6uWwm8o5RyVUq5kPE8wN3PDZiRYF8IIYQQQjyR3n33XbM99+3t7fnhhx9YtWoV7u7ulC1bllGjRpGUlGS0CQgIwNnZmfLlyxvvtdbUqVMnR+esVKkSwM1sqkcBp4BflFJxZDxo66uUciBj555Xtdbht5fwLAQWqTvW/ADcXsffCngeuAz8BTxzu/p94ADwB3AE+P12WbaU1jpHH+xJ4Ofnpw8cOFDQwxBCiHzTY95eAL4c7F/AIxFCiKJLKfWb1tqvoMeREzKzL4QQQgghRCElu/EIIYQQQognyrqD4czYEkpETCLuJltGtvElsE5Wy9+FBPtCCCGEEOKJse5gOGPWHCExJQ2A8JhExqw5AiABfxZkGY8QQgghhHhizNgSagT6mRJT0pixJbSARvR4y9dgXynVVikVqpQ6pZQanUW9Ukp9fLv+D6VU3ZweK4QQQgghip6ImMQHKi/q8i3YV0pZAp8C7YDqQC+lVPW7mrUDKt9+/RuY8wDHCiGEEEKIIsbdZPtA5UVdfs7sNwBOaa3PaK2TgVXAC3e1eQFYojP8ApiUUm45PFYIIYQQQhQxI9v4YmttaVZma23JyDa+BTSix1t+BvseZKT7zXTxdllO2uTkWCGEEEIIUcQE1vFgauen8DDZogAPky1TOz8lD+dmIz9341FZlN2dwSu7Njk5NqMDpf5NxhIgIxOaEEIIIYQovALreEhwn0P5ObN/EfC84305ICKHbXJyLABa68+11n5aaz9XV9dcD1oIIYQQQojCIj+D/f1AZaVUBaVUMaAn8N1dbb4D+t3elacREKu1vpTDY4UQQgghhBD3kW/LeLTWqUqpV4EtgCXwP631MaXUkNv1c4GNQHvgFHATGHi/Y/NrrEIIIYQQQhRG+ZpBV2u9kYyA/s6yuXf8rIFhOT1WCCGEEEIIkXOSQVcIIYQQQohCSoJ9IYQQQgghCikJ9oUQQgghhCikJNgXQgghhBCikJJgXwghhBBCiEJKgn0hhBBCCCEKKQn2hRBCCCGEKKQk2BdCCCGEEKKQkmBfCCGEEEKIQkqCfSGEEEIIIQopCfaFEEIIIYQopJTWuqDHkGeUUteAsAI4tQsQWQDnFYWHXEMiL8h1JHJLriGRW0XlGvLSWrsW9CByolAF+wVFKXVAa+1X0OMQTy65hkRekOtI5JZcQyK35Bp6/MgyHiGEEEIIIQopCfaFEEIIIYQopCTYzxufF/QAxBNPriGRF+Q6Erkl15DILbmGHjOyZl8IIYQQQohCSmb2hRBCCCGEKKQk2L8PpVRbpVSoUuqUUmp0FvVKKfXx7fo/lFJ1c3qsKDpyeR39Tyl1VSl19NGOWjxOHvYaUkp5KqV+VEqdUEodU0oNf/SjF4+DXFxDxZVSvyqlDt++hiY9+tGLx0Vu/j27XW+plDqolFr/6EYtJNjPhlLKEvgUaAdUB3opparf1awdUPn269/AnAc4VhQBubmOblsMtM3/kYrHVS6voVRghNa6GtAIGCb/LSp6cnkNJQHPaq1rAbWBtkqpRo9i3OLxkgf/ngEMB07k81DFXSTYz14D4JTW+ozWOhlYBbxwV5sXgCU6wy+ASSnllsNjRdGQm+sIrfVuIOqRjlg8bh76GtJaX9Ja/w6gtY4n4x9Zj0c5ePFYyM01pLXWCbfbWN9+ycN+RVOu/j1TSpUDOgALHuWghQT79+MBXLjj/UXu/UcyuzY5OVYUDbm5joSAPLqGlFLeQB1gX94PUTzmcnUN3V56cQi4CmzVWss1VDTl9r9Fs4C3gfR8Gp/IhgT72VNZlN09m5Fdm5wcK4qG3FxHQkAeXENKKTvgG+B1rXVcHo5NPBlydQ1prdO01rWBckADpVTNvB2eeEI89HWklOoIXNVa/5b3wxL/RIL97F0EPO94Xw6IyGGbnBwriobcXEdCQC6vIaWUNRmB/nKt9Zp8HKd4fOXJf4e01jHATuQ5oqIqN9dRE6CTUuocGct/nlVKLcu/oYo7SbCfvf1AZaVUBaVUMaAn8N1dbb4D+t1++rwREKu1vpTDY0XRkJvrSAjIxTWklFLAQuCE1vqjRzts8RjJzTXkqpQyASilbIGWwJ+PcOzi8fHQ15HWeozWupzW2vv2cTu01kGPdPRFmFVBD+BxpbVOVUq9CmwBLIH/aa2PKaWG3K6fC2wE2gOngJvAwPsdWwAfQxSw3FxHAEqplUALwEUpdRGYoLVe+Gg/hShIubyGmgB9gSO311wDjNVab3yEH0EUsFxeQ27AF7d3YrEAVmutZdvEIii3/56JgiMZdIUQQgghhCikZBmPEEIIIYQQhZQE+0IIIYQQQhRSEuwLIYQQQghRSEmwL4QQQgghRCElwb4QQgghhBCFlAT7QghRxCmlFiilqmdRPkApNfv2z28qpY4rpf5QSm1XSnk9+pEKIYR4UBLsCyFEIXM7oU2O//uutX5Za338H5odBPy01k8DXwMf5maMQgghHg0J9oUQohBQSnkrpU4opT4DfgfGK6X2356Jn3S7TUml1Aal1GGl1FGlVI/b5TuVUn63fx6olDqplNpFRlIuALTWP2qtb95++wtQ7pF+QCGEEA9FMugKIUTh4UtGxsp1QFegAaCA75RSzQFXIEJr3QFAKeV458FKKTdgElAPiAV+JGNG/27/Ajblz0cQQgiRl2RmXwghCo8wrfUvQOvbr4NkzPJXBSoDR4CWSqnpSqlmWuvYu45vCOzUWl/TWicDX959AqVUEOAHzMjHzyGEECKPyMy+EEIUHjdu/68Cpmqt593dQClVD2gPTFVK/aC1nnxXE51d50qplsA4IEBrnZRHYxZCCJGPZGZfCCEKny3AS0opOwCllIdSqrRSyh24qbVeBswE6t513D6ghVLKWSllDXTLrFBK1QHmAZ201lcfyacQQgiRazKzL4QQhYzW+gelVDVgr1IKIAEIAnyAGUqpdCAFeOWu4y4ppSYCe4FLZCwBsrxdPQOwA7663ed5rXWn/P80QgghckNpne0dWyGEEEIIIcQTTJbxCCGEEEIIUUhJsC+EEEIIIUQhJcG+EEIIIYQQhZQE+0IIIYQQQhRSEuwLIYQQQghRSEmwL4QQQgghRCElwb4QQgghhBCFlAT7QgghhBBCFFL/Dy0W/on4C4YUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics import utils\n",
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "ax.plot(resid2[idx], hat_matrix_diag, 'o')\n",
    "ax = utils.annotate_axes(range(nobs), labels=rob_crime_model.model.data.row_labels[idx], \n",
    "                    points=lzip(resid2[idx], hat_matrix_diag), offset_points=[(-5,5)]*nobs,\n",
    "                    size=\"large\", ax=ax)\n",
    "ax.set_xlabel(\"resid2\")\n",
    "ax.set_ylabel(\"leverage\")\n",
    "ylim = ax.get_ylim()\n",
    "ax.vlines(rm, *ylim)\n",
    "xlim = ax.get_xlim()\n",
    "ax.hlines(hm, *xlim)\n",
    "ax.margins(0,0)"
   ]
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
