{
 "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:                Fri, 24 Apr 2020   Prob (F-statistic):           8.65e-17\n",
      "Time:                        14:17:04   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": {
      "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.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:                Fri, 24 Apr 2020   Prob (F-statistic):           2.02e-18\n",
      "Time:                        14:17:04   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": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAE2CAYAAAB8/jOrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOzdeXxU9dn//9eVhRD2fSdAWGUVZXFBxBUXFFxwQau1Kr3b3l1uW1vtXu8utrb91W/v9r6JW2017haXti7VasAlLKLihkqAhLCFJRAgIdv1+2NOaMAsk2QmM5O8n49HHpk5Z845V4ZhzrnO5/O5PubuiIiIiIiISMslxToAERERERGRtkIJloiIiIiISIQowRIREREREYkQJVgiIiIiIiIRogRLREREREQkQpRgiYiIiIiIRIgSLBERkXqY2Rwz2xzrOMJhZt81s7sbWL/RzM6MwHE+b2bLm7mtm9molsYgIhLPlGCJSMIys0VmtsrM9pvZVjP7h5nNinVcrSXci1W9Tw2/T0HCUBW8P/vM7G0zm9cKMR0IjlloZr81s+SW7NPdf+7uN0QqxuYws+HB37Y/+NloZrc0Yz/NTuJERGJNCZaIJCQzuwn4HfBzoD+QAfwRmB/LuOKN3qewveHuXYAewD3Ao2bWK8rHnBIc81TgcuALUT5ea+oR/G1XAj80s3NiHZCISGtRgiUiCcfMugO3AV9x9yfd/YC7V7j7M+5+c/CaNDP7nZltCX5+Z2Zpwbo5ZrbZzL5tZjuCVp0FZnaemX1sZrvN7Lu1jvdjM3vczB4xsxIze8vMptRaf4yZvWJmxWb2vpldWGvdn8zsD2b2t2DbXDMbWWv9ODN7MTjmOjO7LJxtzSwneNk7QUvB5Xqfmvc+1ebu1cC9QDqQWcd7ekRrWHDsnwaP+5jZs8Hft9vMlplZo+dZd/8UeA04ttZ+5wUtacVm9rqZTa617jtBq1dJ8F6cUev9f6DW6z5nZpvMbJeZfe+ov+Nw3MHzI7pCmtktZrY+OMYHZnZRY39HPX/bG8D7wMSj15lZdzP7s5kVBXF+38ySzOwY4P+AE4N/s+LmHFtEJFaUYIlIIjoR6Aj8tYHXfA84gdBF6xRgBvD9WusHBPsYDPwQuAu4GjgeOIXQXffaF9jzgceAXkA2sNTMUs0sFXgGeAHoB3wVeNDMxtba9krgJ0BP4FPgZwBm1hl4Mdhfv+B1fzSzCY1t6+6zg/VT3L2Luz+i96nZ79NhZpYC3ADsBz5p6LV1+CawGehLqLXwu4A3tpGZjSP0Xn4aPD+OUJL3RaA3sAR4OkiGxwL/CUx3967AXGBjHfscD/wv8DlgULCfIU34W9YHMXUn9L4+YGYDm7A9FnIyMAFYU8dLfh/sP5NQK941wHXu/iHwHwStiu7eoynHFRGJNSVYIpKIegM73b2ygddcBdzm7jvcvYjQReLnaq2vAH7m7hXAw0Af4E53L3H39wnddZ9c6/Wr3f3x4PW/JZR0nBD8dAFud/dyd38ZeJbQBX+NJ919RRDvg/y7pWIesNHd73P3Snd/C3gCuDSMbcOh9yl8JwQtJduCmC5y971N3EcFMBAYFrQULnP3hhKst8zsAPAh8AqhrpsANwJL3D3X3avc/X7gEKH3sApIA8abWaq7b3T39XXs+1LgWXfPcfdDwA+A6nD/EHd/zN23uHt1kJR+Qij5DtdOYDdwN3CLu79Ue6WFxptdDtwafJY2Ar/hyM+eiEhCUoIlIoloF9AnaG2ozyBgU63nm4Jlh/fh7lXB49Lg9/Za60sJJQQ1CmoeBN3INgf7GwQUBMtqH2twrefbaj0+WGu/w4CZQTew4uAC/ypCrUaNbfsZFipeUVNc4Cr0PjXFm+7ew937uPsJ7v7PJm4PcAehVqgXzCzPGi/ucFwQ5+XATKBzsHwY8M2j/t6hwKCgO+E3gB8DO8zsYTMb9Nldh97vmifufoDQ5yEsZnZNrS6KxYS6+PUJd3ugj7v3dPdj3P3/1bUe6MBnP3uD63itiEhCUYIlIonoDaAMWNDAa7YQulCtkREsa66hNQ+CcTVDgv1tAYYeNdYmAygMY58FwKvBhX3NTxd3/1JzAnT3c4Ptu7j7g+h9ioaDQKdazw8neUFLzDfdPRO4ALipZnxUfTzkUUL/Vj8MFhcQajWs/fd2cveHgm2y3X0WoX83B35Zx663cuS/RSdCLZo1DtT3d5jZMEJdQf8T6B100XsPsIb+libaSajF7+jPXs3nodGulSIi8UoJlogknKDr1g+BP1io6EKnYJzPuWb2q+BlDwHfN7O+ZtYneP0D9e0zDMeb2cVBa9A3CHXZehPIJXSx+u0ghjmELq4fDmOfzwJjgmIEqcHP9GCQfzi2U0chhhp6nw5r8H1qoreBRWaWbKHKeKfWrAgKU4wyMwP2EerOV1XPfo52O7DYzAYQSm7+w8xmBuOYOpvZ+WbW1czGmtnpFipEUkaoBbGuYzwOzDOzWWbWgVCxk9rn/LeB88ysV3DMb9Ra15lQglMU/F3XUUeRipYIWkUfBX4W/F3DgJv492dvOzAkiF1EJKEowRKRhOTuvyV0QfZ9QheCBYTuuC8NXvJTYBXwLrAWeCtY1lxPEerKtYfQOJGLg3E25cCFwLmE7sr/EbjG3T8K428oAc4GriDUwrONUGtEWpgx/Ri4P+jGdVldL9D7BITxPjXB1wklhjXdFJfWWjca+CehAhlvAH9091fC2am7rwVeBW5291WExmH9D6H38VPg88FL0wglYzsJvQ/9CBXTOHp/7wNfIVQYZGuwn9oTJv8FeIdQgYwXgEdqbfsBofFQbxBKdCYRqnIYaV8llHTnAcuDWO8N1r1MaHzfNjPbGYVji4hEjTU8/lZERMzsx8Aod7861rHEM71PIiIiasESERERERGJGCVYIiIiIiIiEaIugiIiIiIiIhGiFiwREREREZEIUYIlIiIiIiISIUqwREREREREIiQl2gcwsx7A3YQmKXTgC8A6QnNuDCc0B8dl7r6nof306dPHhw8fHs1QRUQkTqxevXqnu/eNdRxNofOUiEj7Ut+5KuoJFnAn8Jy7XxrMyN6J0KSIL7n77WZ2C3AL8J2GdjJ8+HBWrVoV/WhFRCTmzGxTrGNoKp2nRETal/rOVVHtImhm3YDZwD0A7l7u7sXAfOD+4GX3AwuiGYeIiIiIiEhriPYYrEygCLjPzNaY2d1m1hno7+5bAYLf/era2MwWm9kqM1tVVFQU5VBFRERERERaJtoJVgpwHPC/7j4VOECoO2BY3D3L3ae5+7S+fROqK76IiIiIiLRD0U6wNgOb3T03eP44oYRru5kNBAh+74hyHCIiIiIiIlEX1QTL3bcBBWY2Nlh0BvAB8DRwbbDsWuCpaMYhIiIiIiLSGlqjiuBXgQeDCoJ5wHWEErtHzex6IB9Y2ApxiIiIiIiIRFXUEyx3fxuYVseqM6J9bBERaT1L1xRyx/Pr2FJcyqAe6dw8dywLpg6OdVgiItIAfXdHXmu0YIlIG6YvZoHQ5+DWJ9dSWlEFQGFxKbc+uRYg7j8PZvZfwA2AA2sJ9bToBDwCDAc2Ape5+54YhSgiEhWJ/N0dz6Jd5EJE2rCaL+bC4lKcf38xL11TGOvQpJXd8fy6wyfoGqUVVdzx/LoYRRQeMxsMfA2Y5u4TgWTgCkIVb19y99HASzShAq6ISKJI1O/ueKcES0SaTV/MUmNLcWmTlseZFCDdzFIItVxtAeYD9wfr7wcWxCg2EZGoSfDv7rilBEtEmk1fzFJjUI/0Ji2PF+5eCPyaUMGlrcBed38B6O/uW4PXbAX61bW9mS02s1VmtqqoqKi1whYRiYhE/e6Od0qwRKTZ4uGLeemaQk6+/WVG3PI3Tr79ZXVPjJGb544lPTX5iGXpqcncPHdsPVvEBzPrSai1agQwCOhsZleHu727Z7n7NHef1rdv32iFKSISFYn63R3vlGCJSLPF+otZY8Dix4Kpg/nFxZMY3CMdAwb3SOcXF09KhEHSZwIb3L3I3SuAJ4GTgO1mNhAg+L0jhjGKiERFAn93xzVVERSRZqv5Ao5VFcGGxoDp5ND6FkwdnIjvez5wgpl1AkoJTSGyCjgAXAvcHvx+KmYRiohEUYJ+d8c1JVgi0iKx/GLWGDBpKXfPNbPHgbeASmANkAV0AR41s+sJJWELYxeliIgkEiVYIpKwBvVIp7COZEqDc6Up3P1HwI+OWnyIUGuWiIhIk2gMlogkrFiPARMRERE5mlqwRCRhxXoMmIiIiMjRlGCJSELT4FwRERGJJ+oiKCIiIiIiEiFKsERERERERCJECZaIiIiIiEiEaAyWiIgcYemaQhUOERERaSYlWCIictjSNYXc+uRaSiuqACgsLuXWJ9cCKMkSEREJg7oIiojIYXc8v+5wclWjtKKKO55fF6OIREREEosSLBEROWxLcWmTlouIiMiRlGCJiMhhg3qkN2m5iIiIHEkJloiIHHbz3LGkpyYfsSw9NZmb546NUUQiIiKJRUUuRETksJpCFqoiKCIi0jxKsERE5AgLpg5WQiUiItJM6iIoIiIiIiISIUqwREREREREIkQJloiIiIiISIQowRIRkbjy0bZ9sQ5BRESk2aJe5MLMNgIlQBVQ6e7TzKwX8AgwHNgIXObue6Idi4hIe7Z0TWHcVgd0d95Yv4slOXm8+nFRrMMRERFpttZqwTrN3Y9192nB81uAl9x9NPBS8FxERKJk6ZpCbn1yLYXFpThQWFzKrU+uZemawpjGVVlVzdPvbOGC/1nOortzeX/LPr519piYxiQiItISsSrTPh+YEzy+H3gF+E6MYhERafPueH4dpRVVRywrrajijufXxaQV68ChSh5dVcA9yzeweU8pmX0784uLJ3HR1MF0TE3mq60ekYiISGS0RoLlwAtm5sASd88C+rv7VgB332pm/era0MwWA4sBMjIyWiFUEWnP4rkLXUttKS5t0vJoKSo5xP2vb+Qvb25ib2kF04b15IfzxnPmMf1JSrJWjUVERCQaWiPBOtndtwRJ1Itm9lG4GwbJWBbAtGnTPFoBiojUdKGraeWp6UIHtIkka1CPdArrSKYG9UhvleOvL9rP3cvyeOKtQiqqqjl7fH8Wzx7J8cN6tsrxRUREWkvUEyx33xL83mFmfwVmANvNbGDQejUQ2BHtOEREGhJvXegi7ea5Y49IIAHSU5O5ee7YqB531cbdLMnJ458fbic1OYlLjx/CDbNGkNm3S1SPKyIiEitRTbDMrDOQ5O4lweOzgduAp4FrgduD309FMw4RkcbESxe6aKlJElujC2R1tfPih9vJyslj9aY99OiUyldPG8U1Jw2nT5e0iB9PREQknkS7Bas/8FczqzlWtrs/Z2YrgUfN7HogH1gY5ThERBrUPT2V4tKKOpe3FQumDo5qa1xZRRVPvlXI3cvyyNt5gCE90/nJhRNYOG0InTrEqqaSiIhI64rqGc/d84ApdSzfBZwRzWOLiDSF1VNfob7l8m/FB8v5yxubuP+NjezcX86kwd35/ZVTOXfiAFKSNZ+9iIi0L7qlKCICFB/8bOtVQ8tbU7xWNyzYfZB7lm/gkZUFlFZUMWdsXxbPzuTEzN6YMlMREWmnlGC1I/F6kSYSD2JdZa8+S9cUcvNj71BRHSqkWlhcys2PvQPErrrhe4V7WZKTx9/XbiXJ4MIpg1k8O5OxA7rGJB4REZF4ogSrnWjrJahFWipWVfYa8+On3z+cXNWoqHZ+/PT7rfp/19159eMisnLyeH39LrqkpXD9rBFcd/JwBnaPbRIqIiIST5RgtRNtvQS1SEu1ZpW9pqir8EZDyyOtvLKaZ97Zwl3L8vhoWwkDunXk1nPHceXMDLp1bDsFQERERCJFCVY70dZLUItEQrSr7CWSkrIKHlqRz73LN7JtXxlj+3fl1wuncOGUQXRIUeEKERGR+ijBaifidXyJiDSsZ6dU9tRRaKNnp+i0Hm3bW8Z9r20gOzefkkOVnJjZm19cMok5Y/qqcIWIiEgYlGC1E/E6vkREGvajCyZw8+PvUFH173FYqcnGjy6Y0Oi2TSls8/H2ErJy8njq7UKqqp3zJg1k8exMJg/pEbG/RUREpD1QgtVOxOv4knig6ooSz5r7fzecwjbuzpt5u8nKWc+/1hWRnprMVTOHcf2sEQzt1SmKf5WIiEjbpQSrHdH4ks9SdUVJBM35v9tQYZt5kwfy3PvbyMrJ493Ne+nduQM3nTWGz50wjJ6dO0Qy9FZjZuOAwUCuu++vtfwcd38udpGJiEh7owRL2jVVV5S2qr4CNoXFpZz2m1co2F3KiD6d+dlFE7nkuCF0TE1u5Qgjx8y+BnwF+BC4x8y+7u5PBat/DijBEhGRVqMES9o1VVeUtqq+wjYAfbuk8b3zxnPW+P4kJ7WJwhU3Ase7+34zGw48bmbD3f1OoE38gSIikjhUa1fatfqqKKq6oiS6m+eOJe2ocupJBl87fRRPfvlkzpk4oK0kVwDJNd0C3X0jMAc418x+ixIsERFpZUqwpF27ee5Y0o/qGqXqipLo3srfw3PvbaO8svrwsn5d0/jtZcdy09lt8rO9zcyOrXkSJFvzgD7ApJhFJSIi7ZK6CEq7puqK0lZUVzsvfbSDrJz1rNy4h24dU/jyaSO59qTh9OvaMdbhRds1QGXtBe5eCVxjZktqlplZT3ff09rBiYhI+6IES9o9VVeURFZWUcXSNYXctSyP9UUHGNwjnR/OG8/l04fSOa19fMW7++YG1r1W6+lLwHHRj0hERNqzZp99zewsd38xksGIiEh49h6s4IHcTdz32kZ27j/EhEHduPOKYzl/0kBSktX7ux4ajyUiIlHXktub9wAZkQpEREQat3nPQe5dvpGHV+ZzsLyK2WP68sXZmZw0sjdmyh8a4bEOQERE2r4GEywze7q+VUDvyIcjIiJ1eX/LXrJy8nj23a0YcMGUQdx4SibjB3WLdWgiIiItsnRNYZsaD99YC9YpwNXA/qOWGzAjKhGJiAgA7s6yT3aSlZPH8k930rlDMtedNJwvzBqhqQSaR018IiJxZumaQm59ci2lFVUAFBaXcuuTawESNslqLMF6Ezjo7q8evcLM1kUnJBGR9q2iqpq/vbuVJTl5fLh1H/26pvGdc8axaGYG3dNTYx1e3DOzfsDh0onunh88PKOe1/cA7gYmEupG+AVgHfAIMBzYCFymCoQiIpF3x/PrDidXNUorqrjj+XVtM8Fy93MbWDc78uGIiLRf+w9V8vCKfO5dvoEte8sY3a8Lv7p0MvOPHURaSnLjO2jnzOxC4DfAIGAHMAz4EJgA4O6769n0TuA5d7/UzDoAnYDvAi+5++1mdgtwC/CdKP8JIiLtzpbi0iYtTwQRqeFrZm+4+4mR2JeISHuzY18Z972+kQfe3ERJWSUzR/TipxdNZM6YfiQlRa5XWyT7uMdpf/n/Bk4A/unuU83sNODKhjYws27AbODzAO5eDpSb2XxgTvCy+4FXUIIlIhJxg3qkU1hHMpXIXeEjNUlKm5/FUkQk0j7dUUJWTh5L12yhsrqacyYOYPHskRw7tEfEjxXJPu5x3F++wt13mVmSmSW5+7/M7JeNbJMJFAH3mdkUYDXwdaC/u28FcPetQbdDERGJsJvnjj3inAKQnprMzXPHxjCqlolUgqXStyIS1+KlxcXdWbFhN1k5ebz00Q46piZx+fSh3HDKCIb17hy140ayj3sc95cvNrMuQA7woJntACob2SaF0OTDX3X3XDO7k1B3wLCY2WJgMUBGhmYuERFpqprzRjycoyMlUgmWiEjciocWl6pq54X3t/F/OXm8U1BMr84d+MaZo7nmxOH06twh6sePZB/3OO4vPx8oBf4LuAroDvykkW02A5vdPTd4/jihBGu7mQ0MWq8GEhrT9RnungVkAUybNk03G0VEmmHB1MEJnVAdLVIJlkrfikjcimWLS1lFFY+t3sw9y/LYuOsgw3p34r8XTOTS44aQ3qH1CldEso97HPeX/6G7fweoJjRuiqCLYL1jp9x9m5kVmNlYd19HqNLgB8HPtcDtwe+noh28iIi0DZFKsD7X0EozSwZWAYXuPs/MeqHytyLSSmLR4rL7QDl/fmMjf35jE7sPlDNlaA/+eM445k4YQHIEC1eEK5J93OO4v/xZfDaZOreOZUf7KqEuhR2APOA6IAl41MyuB/KBhRGOVUQk7sVL9/qGxGOMYSVYZnYC8HvgGKADkAwccPduAO7+XiO7+DqhUrndgue3oPK3ItJKWrPFZdOuA9y9bAOPrS6grKKaM8b1Y/HsTGaM6IVZ7Br7I9nHPd76y5vZl4AvA5lm9m6tVV2B1xrb3t3fBqbVsarOebNERNqDeOhe35h4jTHcFqz/Aa4AHiN0EroGGBXOhmY2BDgf+BlwU7BY5W9FpNW0RovL2wXFZOWs57n3tpGSlMSCqYO48ZRMRvfvGrFjtFQk+7jHWX/5bOAfwC84skBFSQNzX4mISAPiuKDRYfEaY9hdBN39UzNLdvcqQuVsXw9z098B3yZ0J7GGyt+KSKuJVotLdbXzysc7+L9X81ixYTddO6bwxVNHct1Jw+nXTbNXtBZ33wvsBa40s1nAaHe/z8z6mNkId98Q4xBFRBJOHBc0OixWMR6qrOKF97fXuz7cBOtg0Df9bTP7FbAVaLSesJnNA3a4+2ozmxPmsWpvr/K3IhIRkWxxOVRZxVNvb+GunDw+2bGfQd078v3zj+GKGRl0SVNx1lgxsx8R6mUxFriPUJf2B4CTYxmXiEgiiuOCRoe1doybdh0ge0U+j6/azK4D5fW+Ltwrgc8RGvD7n4TK3w4FLg5ju5OBC83sPEKTEXczswdQ+VsRSUB7SyvIzs3nvtc2sKPkEOMGdOV3lx/L+ZMHkpqcFOvwBC4CpgJvAbj7FjOLnz6aIiIJJI4LGh3WGjFWVFXz4gfbyc7NZ/mnO0lOMs4Y149FMzM4rZ6p7MNNsBa4+51AGcGcImb2deDOhjZy91uBW4PXzwG+5e5Xm9kdqPytiCSILcWl3Lt8Aw+vLGD/oUpmjerDrxdO4ZTRfWJauEI+o9zd3cwcwMyiN3OziEgbF28FjeoSzRgLdh/k4ZX5PLpqM0UlhxjUvSM3nTWGy6cPpX8jwwDCTbCu5bPJ1OfrWBau21H5WxGJcx9u3UdWTh7PvLMFB+ZNHsiNp2QycXD3WIcmdXvUzJYAPczsRuALwF0xjklEJGHFWUGjOkUyxsqqal76aAfZufnkfFKEAacHrVWnjukX9jQrDSZYZnYlsAgYYWZP11rVDdjVlIDd/RVC1QJx912o/K2IxCF35/X1u1iSk0fOx0V06pDMNScO5wuzhjOkZ6dYhycNcPdfm9lZwD5gDKGJh1+McVgiIhLnCotLeWRFPo+sKmD7vkP075bGV08fzRXThzZrPFdjLVivEypo0Qf4Ta3lJcC7dW4hIjETj5PtJYrKqmr+tnYrWTl5vL9lH326pHHz3LFcPXMY3Tulxjo8Cd9aIB3w4LGIiMhnVFU7r6wLtVb9a90OHDh1TF/+e34Gp4/rR0oLxlY3mGC5+yZgE3CimQ0jVPr2n2aWTugEVtLsI4tIRMXrZHvx7sChSh5ZWcA9yzdQWFxKZt/O3H7xJBZMHUzH1ORYhydNYGY3AD8EXgYM+L2Z3ebu98Y2MhERiRfb95XxyMoCHl6Rz5a9ZfTtmsaX5ozkiukZDO0VmZ4qYY3BCvqyLwZ6ASOBIcD/oW5+InEjXifbi1c7Ssq4//WNPPBmPntLK5g+vCc/vnACZ4zrR1KYfawl7twMTA26oWNmvQn1xFCCJSLSjlVXOzmfFJGdm89LH+2gqto5ZXQffjBvPGeO7x/xSsDhFrn4CjADyAVw9080ObBIfEmECQHjwfqi/dyVk8eTawqpqKpm7vgBLD41k+MyesY6NGm5zRzZs6IEKIhRLCIiEmM7Ssp4bNVmHlqRz+Y9pfTu3IEbThnBldMzGN4neoVmw02wDrl7eU05YjNLIdS/XUTiRCJMCBhLqzbuZklOHi9+sJ20lCQWHj+EG07JZEQUv2CldZjZTcHDQiDXzJ4idI6aD6yIWWAiItLqqqtDxaqyV2zihfe3U1ntnJjZm++cM46zJ/QnLSX63f/DTbBeNbPvAulBhaYvA89ELywRaapEmBCwtVVVOy9+sJ2snPW8lV9Mz06pfO2M0Vxz4jD6dEmLdXgSOTWTCa8PfmpojkURkXZi1/5DPLY61Fq1addBenZK5bqTh3PljAwy+3Zp1VjCTbBuAa4nVJHpi8DfgbujFZSINF0iTAjYWsoqqnjirc3cvWwDG3YeYGivdH5y4QQWThtCpw7hfu1JonD3n5jZQHffamYD3H1brGMSEZHoc3fezNtN9op8nntvKxVVzozhvfivM8dwzsQBMStWFdaVhrtXm9n9hMZgObDO3dVFUCTOJMKEgNG050A5f3lzE/e/vpFdB8qZPKQ7/7NoKudMGNCicquSEG4zs1uBnxC6ESgiIm3UngPlPPHWZrJX5JNXdIBuHVO4+oRhLJqRwej+XRvfQZSFW0XwfEJVA9cTKn07wsy+6O7/iGZwIiLhKNh9kHuWb+CRlQWUVlRx2ti+LJ49khMye1EzdlTaLjO7FsgnNN7qXjO7xt3/HOOwRETiQluZI9PdWblxD9m5m/j7e9sor6zmuIwe/HrhFOZNHhhXU6uE21fmN8Bp7v4pgJmNBP4GKMESkZhZu3kvS3LW8/e1W0lOMuYfO5jFszMZEwd3r6RVvQLMAt4HNgDLYxqNiBzWVi7uE1VL58j8/tK1PJRbQJU7yWZcOXMoP10wKSJxhfu52HuwgifXbCY7N59Pduyna1oKV0wfyqKZGYwb0K3FsURDuAnWjprkKpAH7IhCPCIiDXJ3Xvm4iKxX83gjbxdd01K48ZRMrjt5BAO6d4x1eBID7r4p6B54IfAHd38w1jGJSMsv7qXlWjJH5veXruWBN/MPP69yP/y8JUlWOJ8Ld+et/GKyc/N59t0tHKqsZsrQHvzqksnMmzIw7sdTNxidmV0cPHzfzP4OPEpoDNZCYGWUYxMROay8spqn39nCXSGur/AAACAASURBVDl5rNtewoBuHfnueeO4ckYGXTumxjo8iTF3/4/g4ZdjGohIK4r31qGWXNxLZLRkjsyHcuueRvCh3IJmJVg1n9e6ppSp+Vycfkw/nlpTyIO5+Xy0rYTOHZK55PghLJqRwcTB3Zt8zFhpLP27oNbj7cCpweMiQLNyikjU7Sur4KHcfO57bSPb9pUxtn9XfrNwChdMGUSHFBWukH8zszHAt4Dh1Dq/ufvpsYpJJFoSoXWoJRf3EhktmSOzqp56dvUtb8jRn9e6FBaXMvNnL1FaUcWEQd34+UWTuPDYQXRJi+/Wqro0GLG7X2dmHd29zMzS3P1QawUmIu3btr1l3PfaBrJz8yk5VMlJI3tz+yWTOHVMXxWukPo8Rqgg091A/WdxkTYgEVqHWnJxL5HRkjkyk83qTKaSm3EOruvzejQDLpwyiEUzM5g8pHuzz/Xx0LIbTkr4v2b2JeAPhObCEhGJmnXbSsjKyePpdwqpqnbOnzyIxadkMmlI4nQNkJipdPf/jXUQIq0hEVqHWnJxL5HRkjkyr5w59IgxWLWXh6N2otNYm1dqknHb/IlcOTMjrH03dMx4aNltbAzWqcAqYBlwn5nNdvecVolMRNoNd+eNvF1k5eTxyroi0lOTuWrmMK6fNYKhvTrFOjxJHM+Y2ZeBvwKHe1y4++7YhSQSHYnQOtSSi3uJnObOkVkzzqo5VQTD6RJYY1D3jnz7nHER+VzES8tuuJ0a1R9HRCKusqqaf7y3jaycPNYW7qVPlw5886wxXH3CMHp27hDr8CTxXBv8vrnWMgcyYxCLSFQlSutQcy/uJT78dMGkZhW0CKdLYHpqMr+4eFJEPx/x0rLb2BisV83sOuAUQqVv/9g6YYlIW3J0f+ivnTGKsopq7l6eR8HuUjL7dObnF03i4uMGx9VEgZJY3H1ErGMQaS1qHZJ4VVZRVWfrag2DqH1eG2vZba3xWeaNVAKJlyIX06ZN81WrVsXq8CLSTA11Ezh+WE8Wz87krGP6k5SkhnL5NzNb7e7TmrhNKvAlYHaw6BVgibtXRDi8Ouk8JSLt2ac7SngwN58n3ypkb2ndX7uDe6Tz2i3RK+xa1zVHTUsZUO+65iZZ9Z2rGu0iGCRXYwgVu+jv7hPNbDJwobv/tFnRiEi7UV83gT5dOvDEl06KQUTShv0vkArU9Lb4XLDshphFJCLShpVVVPHce9vIzs1nxcbdpCYbcycMYFjvTtyzbANlldWHX9saXVgbatk9+faXW218VrhjsO4i1Kd9CYC7v2tm2YASLBGp1+pNe+rtJrBrf3krRyPtwHR3n1Lr+ctm9k7MohERaaPyivbz0Ip8Hl+9mT0HKxjWuxO3nDuOS48fQp8uaQCM7tc1Jl1Y6xv315rjs8JNsDq5+4qj6tFXRjwaEUl41dXOPz/cTlZOHqs27cEM6uqJHE+VrqTNqDKzke6+HsDMMtF8WCIiEVFeWc3z74daq97I20VKknH2hP4smjGMk0b2/kxX/3grcNKalTfDTbB2mtlIQtWYMLNLga0Rj0ZEElZZRRV/XVPIXcvyyCs6wOAe6fzogvF0Sk3mx898EPeVrqRNuBn4l5nlERpHPQy4LrYhiYgktk27DvDQigIeW1XArgPlDOkZao1aOG0I/bp2jHV4YWvNypvhJlhfAbKAcWZWCGwAro54NCKScPYerOCB3E3c99pGdu4/xMTB3fh/V07lvIkDSElOAiAtNVmVriTq3P0lMxsNjCWUYH0Uy+JMIiJN0VoV7sJRUVXNPz/YTvaKfJZ9spPkJOOMcf1YNDOD2aP7JmRhqtasvNloFcEjXmzWGUhy95KIR9IIVWcSiS+b9xzknuUbeGRlAQfLq5g9pi//MTuTE0f25qjuxCJN1pQqgmZ2uru/bGYX17Xe3Z+MbHR103lKRJqroep3rZlkFew+yMMr83l01WaKSg4xqHtHLp+eweXThzKge+K0VrWWZlcRDDbuAVwDDAdSai6e3P1rEYxRRBLAe4V7ycrJ429rt2LAhVMGcePsTI4Z2C3WoUn7dSrwMnBBHescaJUES0SkueqquButCndHq6yq5uWPdpC9Ip9XPy7CgNPGhlqr5oztR3ICtlbFWrhdBP8OvAmsBaobea2ItDHuzrJPdrIkZz2vfbqLLmkpfOHk4Vx38ggVq5CYc/cfBQ9vc/cNtdeZmSYfFpG415oV7mrv++GVBTy6soBt+8ro3y2Nr54+msunD2Wwzu0tEm6C1dHdb2rqzs2sI5ADpAXHetzdf2RmvYBHCLWIbQQuc/c9Td2/iERXRVU1z767haycDXy4dR/9u6Vxy7njWDQzg24dU2MdnsjRngCOO2rZ48DxMYhFRCRsrVXhrqraefXjHWTn5vPyRztwYPbovvxk/gTOGNfv8NhpaZlwE6y/mNmNwLPA4QHD7r67ke0OAae7+34zSwWWm9k/gIuBl9z9djO7BbgF+E7TwxeRaNh/qJKHV+Rz7/INbNlbxpj+Xbjj0snMP3YwHVL05SvxxczGAROA7keNw+oGaNCAiMS9aFe4276vjEdWFvDIygIKi0vp0yWNL80ZyRXTMxjaq1NEjiH/Fm6CVQ7cAXyPoFR78DuzoY08VEFjf/A0NfhxYD4wJ1h+P/AKSrBEYm77vjLue20jD+ZuoqSskpkjevHTiyYyZ0y/hKwYJO3GWGAe0IMjx2GVADfGJCIRkSaIRoW76mpn2ac7yc7dxD8/3EFVtTNrVB++d/4xnDW+P6lqrYqacBOsm4BR7r6zqQcws2RgNTAK+IO755pZf3ffCuDuW82sX1P3KyLhCafs6yfbS8jKyWPp24VUVTvnThzI4tmZTBnaI0ZRi4TP3Z8CnjKzE939jVjHIyLSHJGamLeo5BCPrirg4ZX5FOwupXfnDtxwygiunJ7B8D6dIxCpNCbcBOt94GBzDuDuVcCxQSXCv5rZxHC3NbPFwGKAjIyM5hxepF07uuxrYXEptz65FoD5xw4id8NusnLyePmjHXRMTeLKGRlcP2sEw3rrC1gS0hoz+wqh7oKHuwa6+xdiF5KISPRVVztv5O3iwdxNvPD+diqrnRMye/HtueM4e0J/0lKSYx1iuxJuglUFvG1m/+LIMVhhl2l392IzewU4B9huZgOD1quBwI56tskiNMEx06ZNC3/CLhEB6i/7etszH3Df6xt5p6CYXp078F9njuFzJw6jV+cOMYpUJCL+AnwEzAVuA64CPoxpRCIiUbRr/yEeX72Zh1bks3HXQXp0SuXzJw3nypkZjOzbJdbhtVvhJlhLg58mMbO+QEWQXKUDZwK/BJ4GrgVuD34/1dR9i0jj6ivvuvtgOV3TU/jpgolcevwQOqbqzpa0CaPcfaGZzXf3+80sG3g+1kGJiESSu5O7YTcP5ubz/HvbKK+qZvrwnnzjzDGcM3GAzulxIKwEKzhRdQDGBIvWuXtFGJsOBO4PxmElAY+6+7Nm9gbwqJldD+QDC5sRu4g0or6yr706deDlb87R5IHS1tScl4qD7ujbCE0HIiKS8IoPlh9urVpfdIBuHVNYNDODRTMzGNO/a6zDk1rCSrDMbA6han8bAQOGmtm17p7T0Hbu/i4wtY7lu4AzmhqsiIRv484DDO/d6TMJVseUJH54wXglV9IWZZlZT+D7hHpKdAF+GNuQJJ6FUwRIJJbcnVWb9pCdm8/f1m6lvLKaqRk9+PXCKZw/aSDpHdRaFY/C7SL4G+Bsd18HYGZjgIfQ5I0iceftgmKyctbzj/e2kZqUxAkjepG38wBFJYd0ASFtmrvfHTzMoZFpREQaKgKk70iJtb2lFfz1rc1kr8jn4+376ZqWwuXThrJoZgbHDOwW6/CkEeEmWKk1yRWAu38cTBwsInGgutr517odLMnJY8WG3XTrmMKXTh3J508aTr9ummdV2gcz+znwK3cvDp73BL7p7t+PbWQSj+orAnTH8+uUYElMuDtrCorJzs3n2Xe3UFZRzZQh3fnlJZO4YMogOnUI97JdYi3cf6lVZnYPoQpNEKrMtDo6IYm0bZHsknKosoqn1mwha1ken+7Yz+Ae6fxg3ngunz6ULmn6IpZ251x3/27NE3ffY2bnEeoyKHKE+ooA1bdcJFpKyipY+vYWHnxzEx9tK6Fzh2QumjqEq2ZmMHFw96gfX11lIy/cK7AvAV8BvkZoDFYO8MdoBSXSVkWqS8re0goezN3En17byI6SQxwzsBu/u/xYzp88UDOzS3uWbGZp7n4IIKhemxbOhkExplVAobvPM7NewCOEimRsBC5z9z1RiVpior4iQIN6pMcgGmmP3t0caq16+p0tHCyvYsKgbvzsoonMP3Zwq90kVVfZ6Aj3Xy8FuNPdfwuHT0RhnbQkfugORey1tEtKYXEp9y7fwMMr8jlQXsUpo/vwm8umMGtUH8xUtELavQeAl8zsPsCBLxAq0BSOrxOaM6tmcMMtwEvufruZ3RI8/06E45UYunnu2CMuLAHSU5O5ee7YGEYlbd2BQ5U89fYWslds4r3CfaSnJnPBlIEsmjmMKUO6t/q5XF1loyPcBOslQnNY7Q+epwMvACdFIyiJPN2hiA/N7ZLywZZ93LUsj2fe2YIDF0weyI2zM5kwKPpdB0QShbv/yszWEqpSa8B/u3uj82CZ2RDgfOBnwE3B4vnAnODx/cArKMFqU2rOfbrxKK3h/S17yc7N56m3t7D/UCXjBnTltvkTWDB1MN06xq6sgbrKRke4CVZHd69JrnD3/WbWKUoxSRToDkV8aEqXFHfntU93sSRnPcs+2UmnDslce9JwvjBrBIPVhUWkTu7+D+AfTdzsd8C3gdoTyfR3963BPreaWb8IhShxZMHUwToHStQcLK/k2Xe28uCKfN4pKCYtJYl5kwexaGYGx2X0iIueJ+oqGx3hJlgHzOw4d38LwMyOB5TaJhDdoYgP4XRJqaiq5u9rt7Lk1Tw+2LqPvl3TuHnuWK6eOYzunVS8U6Q+ZlZCqGsgQAcgFTjg7vXWNDazecAOd18dzPnY1GMuBhYDZGRkNDlmEWl71m0rITt3E0+uKaSkrJJR/brww3njueS4IXF3HldX2egIN8H6BvCYmW0Jng8ELo9OSBINukMRHxrqknLgUCUPryzg3uUbKCwuZWTfzvzykkksmDqYtBRNJCgt19bHYbp77RYozGwBMKORzU4GLgyqDXYEupnZA8B2MxsYtF4NBHbUc8wsIAtg2rRpXtdrRKTtK6uo4m/vbiV7RT6rN+2hQ3IS500awKKZw5g+vGdctFbVRV1lo8PcwzsfBPNejSXUr/0jd6+IZmBHmzZtmq9atao1D9mmHD0GC0J3KH5x8ST9J4qxHSVl/Om1jTzw5ib2lVUyY3gvFs/O5PRx/UhKis8vZEk8ifYdYGar3X1aBPbzprufEOZr5wDfCqoI3gHsqlXkope7f7uh7XWeEml/Pt1RQnZuAU+8tZm9pRVk9unMlTMyuOT4IfTq3OGI17b1m1ztUX3nqqbUgJxOqFxtCjDVzHD3P0coPoky3aGIP5/u2M/dy/J48q1CKqqrOWfCABbPzmRqRs9YhyZtUHsYh2lmF9d6mgRM499dBpvqduBRM7seyAcWtjA8EWkjDlVW8dx723gwN58VG3aTmmzMnTCARTMzODGzd52tVSo21r6ElWCZ2V+AkcDbQM0Z2gElWAlEg3ljz91ZtWkPS17N458fbictJYnLpg/hhlmZDO/TOdbhSRvWTsZhXlDrcSWh+avmh7uxu79CqFog7r6LUDVCEREA8or289CKfB5fvZk9ByvI6NWJW84dx6XHD6FPl4ZnL2oPN7nk38JtwZoGjPdw+xOKyBGqqp0XP9jGkpw81uQX07NTKl87YzTXnjiM3o18KYtEQnsYh+nu18U6BhFpW8orq3nhg21k5+bz+vpdpCQZZ43vz6KZGZw8sk/YXfnbyU0uCYSbYL0HDAC2RjEWkTanrKKKx1dv5p7lG9iw8wAZvTpx2/wJLDx+KOkdVLhCWk9brhRlZr+nga6A7v61VgxHRNqA/F0HyV6Rz+OrC9i5v5zBwdCKhccPoV+3jk3eX3u4ySX/Fm6C1Qf4wMxWAIdqFrr7hVGJSiTB7TlQzl/e3MT9r29k14Fypgzpzh8WHcc5EweQrMIVEgNtfBxmTWWJk4HxwCPB84XA6phEJCIJp6Kqmpc+3M6Dufks+2QnSQZnHBNqrZo9um+Lzt9t+SaXfFa4CdaPoxmESFtRsPsgdy/L49FVmymtqOL0cf1YPDuTmSN6xW2JVmk/2uo4THe/H8DMPg+cVlPl1sz+D3ghhqGJSALYvOcgD68o4JFVBRSVHGJg947815ljuHz6UAZ0b3prVV3a+E0uOUpYCZa7vxrtQEQS2bubi1mSk8c/1m4lOcmYf+xgFs/OZEz/ro1vLCKRMgjoCuwOnncJlomIHKGyqpp/rSviwdxNvPpxEQCnje3HVTMzmDO2X1R6m7TVm1zyWQ0mWGa23N1nmVkJR/ZvN8DdvVtUoxOJY+7OK+uKWJKznjfzdtM1LYUbZ2dy3UkjInbHS0Sa5HZgjZn9K3h+KuqBISK1bN1bGmqtWlnAtn1l9OuaxldPG8XlMzIYrPFQEiENJljuPiv4rdvwIoHyymqeeruQu5bl8fH2/Qzs3pHvnXcMV8wYSteOqY1ur4kGRaLD3e8zs38AM4NFt7j7tljGJCKxV1Xt5HxcxIO5+bz80XYcOGV0X3584QTOOKYfqclJsQ5R2pimTDQs0q7tK6sgOzef+17bwPZ9hxg3oCu/vWwK8yYPokNKeF/OmmhQJHosNNDxTCDT3W8zswwzm+HuK2Idm4i0vu37ynh0ZQEPryygsLiUPl3S+I9TR3LljAyG9uoU6/CkDVOCJdKIrXtLue+1jWTn5rP/UCUnj+rNry6dwuzRfZpcuEITDYpE1R+BauB04DagBHgCmB7LoESk9VRXO8s+3Ul27ib++eEOqqqdk0f15rvnHcNZ4/uHfUNUpCWUYInU46Nt+8jKyePpt7fgwHmTBvLF2ZlMHNy92fvURIMiUTXT3Y8zszUA7r7HzDrEOigRib6ikkM8trqAh1cUkL/7IL06d+CGWSO4YkYGI/p0jnV40s4owZI2ranjndydN9bvYklOHq9+XER6ajJXnzCM62eNiEh3gnAnGtQ4LZFmqTCzZIKiTGbWl1CLloi0QdXVzht5u8jOzeeFD7ZRUeWckNmLb80dy9wJ/UlLSY51iNJONSnBMrMn3P2SaAUjEklNGe9UWVXNP97bxpKc9bxXuI8+XTrwrbPHcPUJw+jRKXI3wMOZaFDjtESa7f8BfwX6mdnPgEuB78c2JBGJtN0Hynl8dQEPrShgw84D9OiUyjUnDufKGRmM6tcl1uGJNLkFKzMqUYhEQTjjnQ6WV/LoygLuXr6BzXtKyezTmV9cPImLpg6mY2rk73yFM9GgxmmJNI+7P2hmq4EzCE0nssDdP4xxWCISAe5O7obdZOfm89x72yivqmb68J587YxRnDtxYFTO2SLN1WiCZWYZNQ+BVDMbGjzG3fOjGJtIizQ03qmo5BB/fmMjf3lzE8UHKzh+WE9+MG88Zx3Tn6QoTC5YW2MTDWqclkjzuftHwEexjkNEIqP4YDlPvFVIdu4m1hcdoGvHFBbNzGDRzAzG9NcsQhKfwmnBup9Qf3YDhgXPLVh2evRCE2mZ+sY7pXdI5uRfvkxFVTVnHdOfL56ayfHDesUgwrqFO05LRESkLXJ3Vm/aQ3ZuPs+u3Up5ZTVTM3pwx6WTmTd5EOkd1Fol8a3RBMvdT6t5bGZr3D3spCpo7fozMIDQQOMsd7/TzHoBjwDDgY3AZe6+p2mhS0u19UIKdY13gtBEwQunDeXGU0aQ2Tf++mqHM05LRESkrdlbWsFf39rMQysKWLe9hC5pKVw+bShXzshg/KBusQ5PJGzRriJYCXzT3d8ys67AajN7Efg88JK7325mtwC3AN+JcixSS3sopHDhlEG8u7mYB97Mp7yqGjM465j+/OyiSfTtmhbr8OoVzjgtERFJHG39hmZLuDtvFxSTnZvPM+9uoayimslDunP7xZO4YMogOqep4LUknqZ+au9syovdfSuwNXhcYmYfAoOB+cCc4GX3A6+gBKtVteVCCmUVVfx1TSF3Lcsjr+gAQ3qmc8OsEVw2fSidOiTGF3Vj47REpH6qeCvxpD3c0GyOkrIKlr69hezcfD7cuo9OHZK5aOoQrpqZ0aL5JkXiQZOuNt39T809kJkNB6YCuUD/IPnC3beaWb96tlkMLAbIyMio6yXSBLXvoHk9r0nkQgrFB8t54M1N/On1Tezcf4hJg7vz+yuncu7EAaQkx2bmdt21FIkJVbyVuNGWb2g2x9rNe8lesYmn3t7CwfIqxg/sxk8XTGT+sYPo2jE11uGJRESr3M43sy7AE8A33H2fWXhV2tw9C8gCmDZtWn05gYTh6Dto9UnEQgoFuw9yz/INPLqqgIPlVZw6pi9fPDWTEzN7E+5nLRp011Kk9ajircQrVYaFA4cqefqdUGvV2sK9dExN4sIpg1g0cxhThnSP6blaJBqinmCZWSqh5OpBd38yWLzdzAYGrVcDgR3RjqO9q+sO2tESrZDCe4V7WZKTx9/XbsWAC48dxOLZmYwbEB8DYXXXUqRVqeKtxKX2XBn2gy37yF6xiaVrtrD/UCVj+3flJxdOYMHUwXRPV2uVtF1RTbAsdEviHuBDd/9trVVPA9cCtwe/n4pmHNLwnTKDhOm+5u7kfLKTrJz1vPbpLrqkpXD9rBFcd/JwBnaPr5OV7lqKtJ6WVLwViab2Vhm2tLyKZ94NtVa9XVBMWkoS508eyFUzMzguo6daq6RdaDDBMrObGlp/VNJUl5OBzwFrzeztYNl3CSVWj5rZ9UA+sDC8cKW56ruDNrhHOq/dEv/XIRVV1TzzzhaycvL4aFsJ/bulceu547hyZgbd4rTPdnu+aykiIiHtpTLsx9tLyM7N54m3NlNSVsnIvp35wbzxXHLcYHp06hDr8ERaVWMtWC2aItvdlxP0ga/DGS3ZtzRNot5BKymr4OEVBdz72ga27i1jTP8u3HHpZOYfO5gOKbEpXBGuRH3PRdqAJlW8FYm2tloZtqyiir+v3Up2bj6rNu2hQ3IS504awKIZGcwY0UutVdJuNZhguftPWisQia5Eu4O2fV8Z9762gezcfErKKjkhsxc/v2gSc8b2TZgv7ER7z0XaipZUvBWRxn26Y//h1qq9pRWM6NOZ7543jkuPH0qvzmqtEglrDJaZdQSuByYAHWuWu/sXohRXRKlUdkgi3EH7eHsJWTl5PPV2IVXVzrmTBvLF2ZlMHtIj1qE1SyK85yIiIo05VFnFc+9tIzs3n9wNu0lNNs6eMICrZmRw4sjYVu2NJ7rmFAi/yMVfgI+AucBtwFXAh9EKKpJUKjv+uTu5G3aTlZPHyx/toGNqEotmZHD9rEwyeneKdXgiIiLt1oadB3hoRT6Pr97M7gPlZPTqxHfOGcfCaUPo0yUt1uHFFV1zSo1wE6xR7r7QzOa7+/1mlg08H83AIkWlsuNXVbXz3HvbyMpZzzub99K7cwduOmsMnzthGD3VxUBERCQmyiurefGD7WSv2MRrn+4iOck465j+LJqZwaxRfUhKUmtVXXTNKTXCTbAqgt/FZjYR2AYMj0pEEaZS2fGntLyKx1YXcPeyDeTvPsjw3p342UUTueS4IXRMTY51eCKSYCJQ8VakTWpqd7X8XQd5aGU+j60qYOf+cgb3SOdbZ4/hsmlD6detY73bSYiuOaVGuAlWlpn1BH5AaA6rLsAPoxZVBKlUdvzYtf8Q97+xib+8sZE9ByuYmtGD7543jrPGDyBZd8NEpPlaVPFWWp/GqURfuN3VKqqqeenD7TyYm8+yT3aSZHD6uP5cNTOD2WP66vzcBLrmlBphJVjufnfw8FUgM3rhRJ5KZcfexp0HuGtZHo+v3syhymrOPKY/Xzw1k2nDNOGgiLScKt4mFo1TaZlwk9PGuqtt3nOQR1YW8MjKAnaUHGJg945848zRXD59KAO7KyFoDl1zSo1wqwjW2Vrl7rdFNpzIU6ns2FmTv4esnDyee38bqUlJXHzcYG44JZNR/brEOjQRaYMSveJte6FxKs3XlOS0vm5phcWlXHffCl75uAiAOWP68vOZw5gzti8pyfE9v2S80zWn1Ai3i+CBWo87AvNIkCqCoFLZram62nn5ox1k5eSxYuNuunVM4ctzRnLtScPp11X9t0UkqhK24m17onEqzdeU5LS+7moA72/Zx3+eNorLpw9lSE9V640kXXMKhN9F8De1n5vZrwmNxRIBQvNjLF1TSFZOHuuLDjC4Rzo/mDeey6cPpUtauHm8iEiLJGzF2/ZE41SarynJ6TfPGsMtT66lvKr68LIkg8+fNJxbzzuGVLVWiURNc698O5FgY7EkOvYerOCB3E386fWNFJUcYvzAbtx5xbGcN2mgvrxFpLUlbMXb9iTS41TaU8GMcJLTHfvKeHRVAQ+tKKC8qpokg2qH/l3TuPW8Y9rseyMST8Idg7UW8OBpMtCXUPcLaacKi0u5Z9kGHlmZz4HyKk4Z3Yf/77JjOXmUZnMXkZhJ2Iq37Ukkx6m0t4IZ9SWn3zx7DDkfF5Gdm88/P9xOZbVz8qje/P/t3Xl8XOV1//HP0WZ531dZsi3ANt4NxgIMDmtwqGM7LAVMNmhwf13S0KQkIU2TJmkbXiRtk1/bpDiEJQkySyBshQChAbNK3o0xZpPtsbzJ+yZb1nL6x1yDMJI1lma5V/N9v15+aebO1czRlXyfe57nPM/91uWnc+m4wRTkqcNTJJ0SHcGa3exxA7Dd3RtSEI+E3Not+1m4+H2eWL0VAz49eRg3nV/KuGG9Mh2aiGS5KK94m22SNU8l2xbMOD45HdyrkGkji2lCEwAAIABJREFU+/KTP7xLbHct/boXcON5o7huegmjBnTPcLQi2euECZaZ9QseHjjupV5mhrvvTk1YEibuzsvv7WTh4ipeencn3QtyueHckdx43ijVzItIaER5xVtpn2xcMGPulGEM6tmF+ypjPPvmNp5cvZWyUf342idHM2vCELrk5WY6RJGs19YI1jLipYEGlAB7gsd9gBgwKqXRSUbVNzbxP6u3snBxFWu37mdgzy58fdYYri8bQe+u+ZkOT0TkeJFe8VZOXjYtmLH70FEeXlZNeWWM9TsP0btrPp87eyTzy4o5dZDutS0SJidMsNx9FICZ/TfwuLs/FTz/FHBJ6sOTTDhY18D9lTHufmUDm/ce5tRBPbj9yknMnTpMPWMiElpa8Tb7dPYbu7o7let3U14Z4+k3tnG0sYlpI/ry5YtO5fKJQynMV5ssEkaJzsE6y93/37En7v60mf0gRTFJhtTsP8I9r27gN69vZP+RBqaP6sf3547nwjGDyMnRwhUiEjla8baT66w3dt1be5SHl29mUWWM92oO0rMwj/llJVw3vYQxQzRaJRJ2iSZYO83s28BviJcMfhbYlbKoJK3eqznALxav53crNtPQ1MSsCUO46fxSppb0zXRoIiIJ04q32amz3NjV3Vke28N9FTH+Z/VW6hqamFLch9uvmsSnJw2ja4FGq0SiItEE6zrgu8DvgueLg20SUe7Okg17WLj4ff7wVg1d8nK45qxivnT+KEb018pDIhJJWvFWImf/kXp+t3wz5RUx3t5+gB5d8rh62nDmTx+hFXpFIiqhBCtYLfArKY5F0qCxyXn2zW3csbiKlZv20rdbPl+5+DQ+f84I+vfokunwREROmla8lahxd1ZV76O8YiOPr9rCkfomJhb15odXTGTO5GF075Jo/7eIhFFby7T/xN1vNrMn+LDs4gPuPidlkWWhVN6N/kh9Iw8tq+aXL1WxYVctJf268YO547nqzGKVHYhI1GnFW4mEg3UNPLoiPlq1dut+uhXk8pmpRcyfPoKJw3tnOjwRSZK2ukh+HXz9caoDyXapuhv97kNH+fVrG7n3tQ3sPnSUycV9+NmssVw2fgi5WrhCRDoBrXgrYfdG9T7KKzfy2Mot1B5t5PShvfjBvAnMmzKMnoW67YlIZ9PWMu3Lgq8vHttmZn2BYndfneLYskqy70Yf21XLnS9X8eDSTRypb+LisYNYMLOU6aP6YabESkQ6pZNe8dbMioFfAUOAJmChu/80KDt8ABgJbAD+1N33pCpw6XwO1TXwxKotlFfGWF29j8L8HD49aRjzy0qYUtxHbbFIJ5ZQka+ZvQDMCfZfCewwsxfd/aspjC2rJOtu9Ks27WXh4iqeXrOV3Bxj3pQiFsws5bTBWtZVRDq99qx42wB8zd2Xm1lPYJmZPQd8EXje3W8zs28C3wS+kbrQpbNYu2U/5ZUbeXTFFg7WNTB6cA++N2c886YW0burRqtEskGisyh7u/t+M/sScLe7f9fMNIKVRB25G31Tk/PCOzXc8WIVFet307MwjwUzT+GGGSMZ3Kvwg/1SOcdLEqffg0jKnPSKt+6+FdgaPD5gZm8BRcBc4IJgt3uBF1CCJa04fLSRJ1fHR6tWxPZSkJfD7IlDmV9Wwpkj+mq0SiTLJJpg5ZnZUOBPgb9PYTxZqz13o69raOSxlVv4xeIq3q05yNDehXz7T07n2ukl9DhuBaJUzfGSk6PfQ+ekpDkcOrrirZmNBKYCFcDgIPnC3bea2aBkxCidyzvbD1BeEeOR5dXsP9JA6cDu/MPscVx5RhF9uhVkOjwRyZBEE6zvA88Ar7j7EjMrBd5NXVjZ52TuRr//SD3lFTHufmU92/fXMXZIT/79msnMnjSM/NycFt8/2XO8pH30e+h8lDRnXjJWvDWzHsDDwM1BxUain70AWABQUlJyUnFnm87SEXGkvpGn12ylvCLGkg17KMjNYdaEIcwvK6FM85xFhMTvg/UQ8FCz51XAlW19n5ndRfzGjzXuPiHYlpUThxNpWNq6G/3WfYe56+X1LKrcxMG6Bs47dQA/umoy5582oM0TerLmeEnHZOL30FkuasJKSXModGjFWzPLJ55c3efujwSbt5vZ0GD0aihQ09L3uvtCYCHAtGnTPpbcSVxn6Ih4r+YgiypjPLy8mr219Ywa0J1vXT6WK88YrvtIishHJLrIxWjg58RLJiaY2SRgjrv/Uxvfeg/wn8RXaDrmm2TZxOGONixvbd3PLxZX8fiqLTjwJxOHsmBmKROKEr9nRkfmeEnypPv30BkuasJOnReZ15EVby3eO/VL4C13/7dmLz0OfAG4Lfj6WLLjziZR7Yioa2jkmTe3c9/rG6lYv5u8HOOy8UO4vqyEs0v7k6PbnUiWUadtYhItEfwFcAtwB4C7rzazcuCECZa7Lw5q2pvLuonD7WlY3J1X39/FHYurWPzODroV5PK5c0Zw44xRFPfrdtIxtGeOlyRfun8PUb2oiRJ1XoRHO1e8nQF8DnjDzFYG275FPLF60Mz+jPjNiq9OWeCdxIkuvKLWEbFh5yEWVcZ4aFk1uw8dpbhfV74+awxXn1nMwJ4arZLspE7bxCWaYHVz98rjytAa2vmZCU8c7iy17SfTsDQ0NvHUmm0sXPw+azbvZ0CPLtxy2RiuLyvp0ITZk5njJamT7t9D1C5qokidF6Fy0iveuvvLQGvDEBcnPcJOqq0Lryh0RNQ3NvHc2u3cV7GRV97bRW6Occnpg7i+bATnnTpAo1WS9dRpm7hEE6ydZnYKweRhM7uKYFnbVOoste2JNCyH6hp4cOkmfvnyeqr3HKZ0YHduu2Ii86YWUZifm5Q42prjJemRzt9DFC5qok6dF6ES6RVvo1x609aFV5g7IjbtrmVRZYwHl1az82AdRX268rVLR/OnZxV/5FYnItlOnbaJSzTB+iviic5YM9sMrAeub+dnJjRxuDM5UcOy40Ad9766gV+/vpF9h+uZNqIv35k9jktOH6zeMumwMF/UdCbqvAiNyK54G/XSm7YuvDraEZHs5LOhsYk/vFVDeWWMl97dgQEXjR3M9WUlzBw9kFy1vyIfo07bxCW6imAVcImZdQdygMPANcDGdnxm1k0cbqlh+fw5I6hYv4uvP7ya+sYmPjluMAtmnsKZI/pmOFrpTMIyuhLlnnmJjvaueBsGUS+9SeTCq70dEclMPjfvPcwDlTHuX7KJmgN1DOlVyN9cdBrXnFWsi0SRNqjTNnEnTLDMrBfx0asi4onQH4LnfwesAu5r4/sXEV/QYoCZVQPfJUsnDh9rWJZu2M0di6u47ffryM/N4aozh/Ol80ZROrBHpkOUTirToytR75mX6OjAircZF/XSm1ReeHU0+Wxscv64Lj5a9cLbNThwweiB/HPZCC4cM5C8Vu4fKSIfFZZO2yhoawTr18Ae4DXgJuDrQAEwz91XnugbAdz9ulZeyqqJw01NzrNrt7Nw8fssj+2lT7d8vnzhqXz+3JEM0L0zpJOLes+8REq7VrwNg6iX3qTywqu9yee2fUd4YMkmHlgSY8u+Iwzs2YW/vOBUrjmruF2r8YpI5jtto6KtBKvU3ScCmNmdwE6gxN0PpDyyTuBIfSOPLN/MnS9VUbXzEMX9uvK9OeO5etpwuhUkOv1NJNqi3jMvkZLMFW/TqjOU3qTqwutkks/GJmfxuzsor4jxv+tqaGxyzj9tAN/59DguPn0w+RqtEpE0aOsqv/7YA3dvNLP1Sq7atrf2KL9+bSP3vraBnQePMrGoN/85fyqzxg9RKYJknaj3zEukZGTF22RQ6U3rEkk+a/Yf4cGlm1hUuYnNew8zoEcBN51fynXTixnRv3smwhaRLNZWgjXZzPYHjw3oGjw3wN29V0qji5hNu2v55cvreWDJJg7XN3LBmIEsmFnKOaX9Oa5HVSRrdIaeeYmMZK54m3YqvWlZa8nnnMnDeCkYrXpu7XYampxzT+nPrZeP5ZPjhlCQpw5NEcmMEyZY7p6cGzB1cm9U7+OOxe/z1Btbyc0x5kwuYsHMUsYM6Znp0EQyTj3zki5JXvFWQqR58rnzYB0PLa3mwn99gY27aunbLZ8bzxvFtWcVa8EoSTutkist0USgdnJ3XnxnBwsXV/Hq+7vo2SWPm84v5YYZoxjSWzcmFGlOPfOSSh1d8VbSoyMXou7Oa1W7KK+I8cyb26hvdKaP6sdXLx3NZeOHUJiv/mBJP62SK61RgnWSjjY08cSqLfzipSrWbTvAkF6F3PqpsVxXVkKvwvxMhyciko06tOKtpF57L0R3HzrKw8uqWVQZo2rnIXoV5vG5s0cyv6yYUwepSkQyS6vkSmuUYDVzot61A0fqWVQZ466XN7Bt/xHGDO7Jj6+ezJzJw1Tn3QEaWheRJNCKtyF3Mhei7s6SDXu4r2IjT7+xjaONTZw5oi//euGp/MmkoRqtktDQKrnSGiVYgdZ61/bWHmXrviOUV8Q4UNfAOaX9+eGVE7lg9EAtXNFBGloXkSTRirchl8iF6L7aeh5eXk15ZYz3ag7SszCP66YXc11ZCWOHaE0tCR+tkiutUYIVaK137R+fWEuOweUTh7JgZimThvfJUISdj4bWRSRJtOJtyLV2ITq0dyHLNsZHq/5n9VbqGpqYXNyH26+axOxJQ3XPSAk1rZIrrdGZK3Ci4dwXb7lQd31PAQ2ti0gyaMXb8GvpQjQ/x3Dgyp+/SveCXK46czjzy0oYP6x35gIVOQlaJVdaowQLaGhsok+3fPbU1n/staI+XZVcpYiG1kVEssO8qUW4O//y1Dp2HKzDgPomp3+PAv7m4tOYM3kY3bvokqSzyKb51VolV1qS1Wez2qMNPLS0mjtfrmJPbX28lqTZ6xrmTS0NrYuIdH4H6xp4bOVmyiti7DhYR9f8XOZOGcb8spKMl91nUyKQLppfLZKlCdbOg3X86tUN/Or1jeytreeMkj78/eXjqK1r4F+fe0cn2jTR0LqISHS1lZys2byP+ypiPL5yM4eONnL60F78YN4E5k0ZRs8Q3NZEiUBqaH61SJYlWOt3HuLOl6r47bJq6hqauHTcYP58ZinTRvb7YJ8rzhyewQizj4bWRUSip7XkpK4h/ry8Isaq6n0U5ucwe1J8tGpqcZ9Qrb6rRCA1NL9aJEsSrOWxPSx8sYpn1m4jPyeHK84o4kvnl3LqoB6ZDk1ERCRyWktOvvFwfAQoL8e4YmoR350znt5dMz9a1RIlAqmh+dUinTjBampynl9Xw8LF77Nkwx56d83nLy84hS+cO5JBPQszHV7CVB8uIiJh01YS0tDkPL1mGzNHDwxtm6VEIDU0v1oEcjIdQLIdqW/k/soYl/77i9z0q6Vs2XuEz0wtoltBLj/74/t85r9e5dEVmzMdZkKOlWBs3nsY58MSjKjELyIinc+72w/QraDtlfGPlduF1S2XjaFr/kd/DiUCHTdvahE/vGIiRX26YsRXY/7hFRNDm2iLpEKnGcHaV1vPbyo2cvcrG9h5sI7xw3rx02un0NDofPvRNZGcxKr6cBERCYMj9Y08vWYr5RUxlmzYQ26OkWtGo/sJvy/M5XZaaCl1NL9asl3kE6zqPbXc9fIG7l8So/ZoIzNHD+TPZ5Zy7in9MTNm3Pa/kU1SVB8uIiKZ9P6OgyyqiPHb5dXsra1nZP9u3PqpsVx15nBeenfnB8lJTivJVnvL7dJVHq9EQERSIbIJ1ptb9rFwcRVPrt6KAXMmD+OmmaWcPrTXR/aLcpKi+nAREUm3uoZGnnlzO+UVG3m9ajd5OcZl44cwv6yEc0r7k5MTXwmweXJy/KqC0P5yOy2fLiJRF6kEy9156d2dLFxcxcvv7aR7QS43zhjJDTNGtZp0RDlJ0URRERFJl427DlFeGeO3S6vZdegow/vGR46unja8zcWhkllup/J4EYm6yCRYe2vrufz/v8xbW/czqGcXvjFrLPPLStpc/jXKSYrqw0VEJJXqG5t4bu12yitivPzeTnJzjEtOH8T8shGcf+qAD0arEpGscrsoV56IiECEEqxNe2oZ1djE7VdNYu6UYXTJa3sFI4h+kqL6cBERSbZNu2tZVBnjwaXV7DxYx7DehXz10tFcc1Yxg3tl9lYmHa080e1NRCTTIpNgjezfjWdunnlSvWnHKEkREZFs19DYxPPraiiviLH43R0YcNHYQcwvK+EToweR2472NRVuuWwMtzy0ivqmDxfNyM+xhCpPNH9LRMIgMglWz8L8diVXIiIi2Wzz3sM8UBnjgaWb2L6/jsG9uvDli07j2rOKGdanK4+u2MzM2/8YrhGf45v7BJt/zd8SkTCITIIlIiIiiWlscl54Oz5a9ce3a3DgE6MH8oO5JVw0dhB5uTlAOEd8fvTM29Q3fnTJ9/pGTyhJ0vwtEQmDjCVYZjYL+CmQC9zp7rdlKpZMUZ24iIgk07Z9R3hgySYeWBJjy74jDOzZhb+44BSuPauE4n7dPrZ/GEd8OpIkRXnlYBHpPDKSYJlZLvBfwKVANbDEzB5397WZiCcTwthrKCIi0dPU5Cx+dwflFTGeX1dDY5Nz/mkD+IfZ47hk3GDyg9GqloRxxKcjSVKUVw4Wkc4jUyNY04H33L0KwMzuB+YCGU2w0jmiFMZeQxERiY6aA0d4aGk1iypjVO85TP/uBdx0finXTS9mRP/uCb1HGEd8OpIkHb9ycO+u+ZjB3z6wkh8987YqRUQkLTKVYBUBm5o9rwbKMhQLkP4RpTD2GoqISLg1NTmvvr+L8sqNPPvmdhqanHNK+/ONWWO5bPwQCvJaH61qSRhHfDp6e5VjKwerUuTkaNqCSPJkKsFqaT0g/9hOZguABQAlJSUpDSjdI0ph7DUUEZFw2nWwjoeWxUerNu6qpW+3fG6YMZLrppdQOrBHu983rPeKTMbtVVQpkjgloyLJlakEqxoobvZ8OLDl+J3cfSGwEGDatGkfS8CSKd0jSmHsNRQRkfBwd16v2k15ZYzfr9lKfaMzfWQ//vaS0cyaMITC/NykfM6Jkpkoj2qoUiRxSkZFkitTCdYS4DQzGwVsBq4F5qczgOMbjd5d89l7uP5j+6VqRCmsvYYiIpJZew4d5eHl1ZRXxqjacYhehXl89uwRzJ9ewmmDe6YtjqiMarSWBKpSJHFKRkWSKyMJlrs3mNlfA88QX6b9Lnd/M12f31KjkZ9r5OfYR+4cn+oRpWSUQIiISPS5O0s27KG8YiNPrdnG0YYmzijpw4+vnszsSUOTNlp1MqIwqnGiJFCVIolTMiqSXBm7D5a7PwU8lYnPbqnRqG90+nbLp1tBnkaUREQkLfbV1vPIimrKK2K8W3OQnl3yuPasYuaXlTB2SK+MxhaFUY0TJYGvfPOiD/ZRu35iSkZFkitjCVYmtdY47K2tZ8V3PpnmaD4U5Vp3ERFJjLuzPLaX8ooYT67eQl1DE5OL+3D7lZOYPXko3QrC0TRHYVSjrSRQlSKJ0bQFkeQKx1k8zcLYaESl1l1ERNpn/5F6HluxmfsqYqzbdoDuBblceeZw5k8vYUJR70yH9zFRGNUIY3seVUpGRZInKxOsMDYaUah1FxGRk+PurK7eR3lFjMdXbeFwfSPjh/XiXz4zkTlThtGjS3ib4SiMaoSxPRcRCe+ZPYXC2GhEodZdREQSc7CugcdXbuG+io28uWU/XfNzmTN5GPPLSpg0vDdmLd0OMnzCPqoRxvZcRCQrEywIX6OhMgcRkehbs3kf5ZUxHluxmUNHGxk7pCc/mDueuVOL6FWYn+nwOqWwteciIlmbYIWNyhxERKLtvZqDzP6Pl+mSl8PsScO4/uwSphb3icxolYiIJIcSrJBQmYOISPiY2Szgp8Tv2Xinu9/W2r5N7nz30+O4YupwenfTaJWISLZSgpUEyVpeXWUOIiLhYWa5wH8BlwLVwBIze9zd17a0/+jBPblhxqh0hpg1dBsTEYkSJVgdpOXVRUQ6renAe+5eBWBm9wNzgRYTLEkNtbMiEjU5mQ4g6k60vLqIiERaEbCp2fPqYJukkdpZEYkaJVgdpOXVRUQ6rZZWp/CP7GC2wMyWmtnSHTt2pCms7KJ2VkSiRiWCHaTl1TtGdfUiEmLVQHGz58OBLc13cPeFwEKAadOmfST5kuTIVDur9klE2ksjWB10y2Vj6Jqf+5FtWl49Mcfq6jfvPYzzYV39oys2Zzo0ERGAJcBpZjbKzAqAa4HHMxxT1slEO6v2SUQ6QglWB82bWsQPr5hIUZ+uGFDUpys/vGKierkSoLp6EQkzd28A/hp4BngLeNDd38xsVNknE+2s2icR6QiVCCaBlldvH9XVi0jYuftTwFOZjiPbpbudVfskIh2hESzJmNbq5zV/TUREMkntk4h0hBIsyRjNXxMRkTBS+yQiHaESQcmYY+UeWqVJRETCRO2TiHSEEizJKM1fExGRMFL7JCLtpRJBERERERGRJFGCJSIiIiIikiRKsERERERERJJECZaIiIiIiEiSKMESERERERFJEiVYIiIiIiIiSWLunukYEmJmO4CNGfr4AcDODH12Ryn2zFDs6RfVuEGxt2SEuw9MwfumTIbbqTCJ8t9zuulYJUbHKXE6VolJ1nFqsa2KTIKVSWa21N2nZTqO9lDsmaHY0y+qcYNil85FfxOJ07FKjI5T4nSsEpPq46QSQRERERERkSRRgiUiIiIiIpIkSrASszDTAXSAYs8MxZ5+UY0bFLt0LvqbSJyOVWJ0nBKnY5WYlB4nzcESERERERFJEo1giYiIiIiIJIkSrOOY2V1mVmNma5pt62dmz5nZu8HXvpmMsSVmVmxmfzSzt8zsTTP7SrA9CrEXmlmlma0KYv9esD30sR9jZrlmtsLMngyeRyJ2M9tgZm+Y2UozWxpsi0rsfczst2a2Lvi7PycKsZvZmOB4H/u338xujkjsfxv8H11jZouC/7uhj1tSJ8ptTyZEta1It6ie39NN5+TWnez1vJndambvmdnbZnZZRz9fCdbH3QPMOm7bN4Hn3f004Pngedg0AF9z99OBs4G/MrNxRCP2OuAid58MTAFmmdnZRCP2Y74CvNXseZRiv9DdpzRbrjQqsf8U+L27jwUmEz/+oY/d3d8OjvcU4EygFvgdIY/dzIqAvwGmufsEIBe4lpDHLSkX5bYnE6LcVqRTJM/v6aRzcpvuIcHr+eCcdS0wPvien5lZboc+3d3177h/wEhgTbPnbwNDg8dDgbczHWMCP8NjwKVRix3oBiwHyqISOzA8+I96EfBklP5mgA3AgOO2hT52oBewnmAeaZRiPy7eTwKvRCF2oAjYBPQD8oAng/hDHbf+pf3vJJJtT5qOTWTbijQfp05xfk/DcdI5ue1jlND1PHArcGuz/Z4BzunIZ2sEKzGD3X0rQPB1UIbjOSEzGwlMBSqISOxB2cRKoAZ4zt0jEzvwE+DrQFOzbVGJ3YFnzWyZmS0ItkUh9lJgB3B3UG5zp5l1JxqxN3ctsCh4HOrY3X0z8GMgBmwF9rn7s4Q8bkmfKLY9aRbltiKdOsv5PaV0Tm6X1o7NsWT1mOpgW7spwepkzKwH8DBws7vvz3Q8iXL3Ro+XTA0HppvZhEzHlAgzmw3UuPuyTMfSTjPc/QzgU8RLe2ZmOqAE5QFnAD9396nAISJWBmFmBcAc4KFMx5KIoFZ9LjAKGAZ0N7PPZjYqCYuotj3p0gnainSK/Pk9HXROTiprYVuHlllXgpWY7WY2FCD4WpPheFpkZvnEG7j73P2RYHMkYj/G3fcCLxCvgY1C7DOAOWa2AbgfuMjMfkM0YsfdtwRfa4jPA5pONGKvBqqDkU6A3xJvkKMQ+zGfApa7+/bgedhjvwRY7+473L0eeAQ4l/DHLSnWGdqeNIh0W5FmneH8ng46J5+81o5NNVDcbL/hwJaOfJASrMQ8DnwhePwF4jXmoWJmBvwSeMvd/63ZS1GIfaCZ9QkedyV+0lhHBGJ391vdfbi7jyRe7vW/7v5ZIhC7mXU3s57HHhOv3V5DBGJ3923AJjMbE2y6GFhLBGJv5jo+LA+E8MceA842s27B+eZi4hPPwx63pFCU2550inJbkW6d5PyeDjonn7zWjs3jwLVm1sXMRgGnAZUd+SDdaPg4ZrYIuAAYAGwHvgs8CjwIlBD/g77a3XdnKsaWmNl5wEvAG3xY3/0t4rXwYY99EnAv8RVwcoAH3f37ZtafkMfenJldAPydu8+OQuxmVkp81AriJRnl7v7PUYgdwMymAHcCBUAVcAPB3w/hj70b8XrvUnffF2wL/XG3+C0UriG+ctwK4EtAD0Iet6ROlNueTIlaW5EJUT6/p5POya072et5M/t74Ebix/Jmd3+6Q5+vBEtERERERCQ5VCIoIiIiIiKSJEqwREREREREkkQJloiIiIiISJIowRIREREREUkSJVgiIiIiIiJJogRLJEXM7NVMxyAiIpIIM/uimf1nkt9znpmNa/b8+2Z2STI/QySMlGCJpIi7n5vpGERERDJoHvBBguXu33H3P2QwHpG0UIIlkiJmdjD4eoGZvWBmvzWzdWZ2X3DXdczsLDN71cxWmVmlmfU0s0Izu9vM3jCzFWZ2YbDvF83sUTN7wszWm9lfm9lXg31eN7N+wX6nmNnvzWyZmb1kZmMzdxRERCQMzOyzQTuz0szuMLNcM7vBzN4xsxeBGc32vcfMrmr2/GCzx18P2qdVZnZbsO0mM1sSbHvYzLqZ2bnAHOBHwWee0vx9zezioP16w8zuMrMuwfYNZvY9M1sevKY2TCJHCZZIekwFbibek1cKzDCzAuAB4CvuPhm4BDgM/BWAu08ErgPuNbPC4H0mAPOB6cA/A7XuPhV4Dfh8sM9C4Mvufibwd8DPUv/jiYhIWJnZ6cA1wAx3nwI0Ap8Fvkc8sbqUZiNNJ3ifTxEflSoL2q3bg5cecfezgm1vAX/m7q8CjwMY4cu+AAACcUlEQVS3uPsUd3+/2fsUAvcA1wRtXR7wF80+aqe7nwH8nHg7JhIpeZkOQCRLVLp7NYCZrQRGAvuAre6+BMDd9wevnwf8R7BtnZltBEYH7/NHdz8AHDCzfcATwfY3gElm1gM4F3goGCQD6JLin01ERMLtYuBMYEnQNnQl3la84O47AMzsAT5sa1pzCXC3u9cCuPvuYPsEM/snoA/QA3imjfcZA6x393eC5/cS71z8SfD8keDrMuCKNn86kZBRgiWSHnXNHjcS/79ngLewr7WwraX3aWr2vCl4zxxgb9BDKSIiAvF25V53v/WDDWbzgM+0sn8DQZVTUNJe0Ox9Wmq37gHmufsqM/sicEEC8ZzIsbbtWHspEikqERTJnHXAMDM7CyCYf5UHLAauD7aNBkqAtxN5w2AUbL2ZXR18v5nZ5FQELyIikfE8cJWZDQII5uyuAC4ws/5mlg9c3Wz/DcRHvADmAvnB42eBG82sW7P3AegJbA3e5/pm73MgeO1464CRZnZq8PxzwIvt//FEwkUJlkiGuPtR4jXx/2Fmq4DngELic6ZyzewN4nO0vujuda2/08dcD/xZ8J5vEm8cRUQkS7n7WuDbwLNmtpp4ezMU+Efic3j/ACxv9i2/AD5hZpVAGXAoeJ/fE59XtTQodz82P+ofgIrgfdc1e5/7gVuCxSxOaRbPEeAG4uXsbxCvwvjvZP7MIplk7i2N9IqIiIiIiMjJ0giWiIiIiIhIkijBEhERERERSRIlWCIiIiIiIkmiBEtERERERCRJlGCJiIiIiIgkiRIsERERERGRJFGCJSIiIiIikiRKsERERERERJLk/wB0/E1NxRF+XQAAAABJRU5ErkJggg==\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:                Fri, 24 Apr 2020   Prob (F-statistic):           3.42e-16\n",
      "Time:                        14:17:04   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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\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": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAGWCAYAAACO3AwqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOzdd5xcddX48c+507b31E02vZKEhE7AJBQhINKVKoIgTUFUfEB9NDwCgqjYUPzhg/JIFUTpvSSISEghEEII6b1vb7Mzc8/vjztJNpvZzWzY3ZndPe/Xa1/ZuffO9547yYs5fMv5iqpijDHGGGP2z0l1AMYYY4wx3YUlTsYYY4wxSbLEyRhjjDEmSZY4GWOMMcYkyRInY4wxxpgkWeJkjDHGGJMkS5yMMcYYQERuEZEVndT2DBFRERnUGe0nef+PRCQiIrO74H6zReR/O/s+yd5LRB4Qkdc64n6WOBljjOmx4l+YGv+Jiki5iPxHRGaJSFGLy38BHNWOtleIyC1JXv4OMADYlGTbF4tIRxZavBdYCAwHzm7jvlki8t8i8qGI1Mc/r7kicp2IZHVgPF3tW8CXOqIhf0c0YowxxqSxfwFfxussKASOBP4LuFpEpqvqpwCqWgvUdvTNRSSoqk3Alo5uux1GAT9V1fWtXSAiecAcYCDwY2AuUAUcBlwPrAee6vxQO56qVnVUW9bjZIwxpqdrUtUtqrpJVZeo6p+BI4B64I+7Lmo5VCcig0TkSRHZISINIrJKRL4XPzcbGAHMatajNbTZkNwXRORtEWkErkw0VCciI0TkiXivTn28l+c0EZkBPBi/ZlfbD7T2cCIyRkSeF5Ha+M+zIjIyfm5GvOfKB/w13talrTR1OzAWOEpV/5+qLlLV1ar6BDANmB1vU0Tkxvjn0SQiK0Xkhrb+AhINp8V7ttY0e/2AiLwW793aEH+W/xWRgIhcLSJrRaRCRO4TkWCLWzgicmf876o6/r7Mlm03e32IiLwoItvi95knIjPbeoZdrMfJGGNMr6Oq1SJyL3CXiPRR1e0JLvsDkAWcCFQCw4D+8XNnAwuAJ/GG+AC2A0Pjv/8Sr1drMRABRjZvWET64w3fLQZOBzYDEwA3fvybwD14w3sADYmeI54cvAKsAKbHD/8CeElExrNniHBzvM0n8XqRWrbjABcCD6vq6pbn1dufrTL+8lrgVrzhrzeBE4Bfi0iNqt6fKM52OBzYCHwer5fscbwesB3AKXhDjU8A7+MNP+5yLvA34HN4n/X9eInx9a3cJw94DPguEAUuAZ4RkQm7eiBbY4mTMcaY3uojQPASokSJ0xDgn6q6KP56za4TqlouIjGgVlV3D8GJyK5fb1fVZ5od3ytxAr4BKHCGqtbFj61sdn1V/D77G967EOgDHKqqO+LvPT8e6/mq+ldgSzyuqjbaKwGKgI/3cz+Am4Hfqep98dfLRWQM8EO8hOWzCANfjw9tLhWR1/GGVktVNQx8LCKv4CVrzROncuBqVY3F3/ffwO9E5PvNPt/dVHV2i0P/LSJfxJsHdXtbAdpQnTHGmN5qV5bT2iTsXwM/iE+O/pmITGtH2+/t5/yhwDuJvtTb6SDg411JE4CqbgWWxc8la3+fhXeRNw9qEPBWi1NzgKEdMIF8aTxp2mULsCyeNDU/1rfF+96LJ027/BsI4g2n7kNE+ojIH0TkExGpFJFavM9ryP4CtMTJGGNMbzUBL1FYleikqv4F74v0j3jDXS+KyENJtp1MQtRRq+YStSPtbH87UEHyyVbLtiXhVXu4Ca4JJLgukuA+iY7tL3/ZXzwP4A3r/Vf8z8nAIrxkq02WOBljjOl14j0n1wCvq+rO1q5T1c2q+hdVvQS4HLgo/l6AJrxJ1wdiAXCMiGS3cr4pHuf+2l8CHCQiJbsOiEg/YHT8XFJU1QUewXu+YS3PxyeE56tqNbCBPfOpdpkGrFbV+lZusQ1vrlJzhyQbXxIOb/FZHY33Ga5s5fppwB9U9RlVXYw3B2x4MjeyxMkYY0xPFxSR/iIyQETGi8jX8IbSQnjJU0Iico+InBpf/XYQ3oTw9UBN/JLVeMlPmYiUxCdYJ+sPeN/BT4vIMSIyLL6i7pRmbQOcHh9WymmlnUfweov+Fl8pdijepOeNeJOl2+OHwHLgXRG5UkQOjsd1Ft5Q3HHx6+4ArhORr4vIKBG5Cu9z/Gkbbb8GnCgiXxaRkSJyM15PT0cpBn4vIuNE5At4k9f/1MZQ6DK8JHGiiEwGHiXJJNgSJ2OMMT3d5/B6FNbjzX25Ei/hmKCqbVUKF7x5Th/hzenJBk6JrzADmAXk430JbwfKkg1IVTcDx+IlYS/g9Q7dHr8nqjoP+A3eMOFWvBV2idppAE7Cm1T9Fl6CUwfMbDFXKJmYqvB6av6AtxrtXbyimTfjJWEvxy+9F6/O0w/wJpPfBNy8nxV1/wf8Pv4c84HBwG/bE99+/B3vs3wbL3F8AW8YrjWX4eVA7+HVpnoJmJfMjWTP378xxhhjjGmL9TgZ08lE5NJ40bmWy5GTff/XRGR5vNBcZfzYGmmjIF5PIV5BQW320yQin4rIr0SksNl1DzQvpNeO9meIV/TQ/ltojEmK/cfCmDQmIgOB+/CK2B2PV4ivN7oDbwjh83irYa4C/inNiuYcoBl4wy3230JjTFKsAKYx6W0U3oTF/1PVt1MdTAqtUtV347/PEZEAcAswBW8OhjHGdAn7vyxjUkC8fZveFpETRWShePtUfSQiZza75gHie0MBr0sb+1XFh5v2mbCYaAhLvN3PfyYiq+NDX6tF5IfNh6tkz75ap8dXFu0Qke0i8pCIFLRozy8iN4nIxyLSGL/uJREZ2+yaEhG5V0Q2ikg4XnTuyvZ/crvtmsTZ6vBnfAXVX+Oxh8XbB+ziZudvwettAojsGg78DDEZY3oB63EyJnVG4K2auQNvH6bvAn8XkbHxlT634tV6+S3e9gwLSbwtRNJExI+3MmZ8vP3FwFHAj/C2W/hui7f8BngOb1uHMcBdQAz4arNrHgPOxFt99BqQgVcjZQDwSbzmzb+BTLxeotXAycC9IhJS1d8dwKPsqjNTmehkvDbOHKAQb+XPeuBi4EERyYpvFfG/eBWQL8db3RRL1JYxxjRniZMxqVMCTFPV5QAishBvyfSXgZ+q6koRWRq/9uNmQ1WfxQV4ScJ0Vd21ZcLr8alCs0TkZ6q6rdn1b6nqdfHfXxFvP6orRORSVVUROR44B/iWqjZfWvxUs9+/hVd9eeKuZwVei/dczRKRe1U1up+4nXjSFwSOAf4b77P6VyvXX4Y3zHlcsz2pXhSvMOBtInK/qm4QkQ3xc3OTiMEYY2yozpgUWt4skSCesGyjHbVgDsBMYC3wTnyIzR9PSF7B2/7gqBbXP9/i9WK8ooH94q9Pwtv+4E/7uedcYHWLe76MV7RufBJx/z+8bRfq2LMT/Mx4DZtEpgEbE2zk+RDehqjJ3NMYY/ZhPU7GpE55gmNhvKGuztIXr/en5d5PuxS3eN0yxl0bbe6KsRgobyOB2XXPke24ZyK3AU/H778uXqivLUV4PVItbWl23hhj2s0SJ2N6hkYAEQm2qBbcMinZiTfH6MuttLOmnffdARSJSGYbydNOvJ60b7VyflkS91mrqvPbEVc53pyslvo3i8kYY9rNhuqM6RnWxv+csOtAfA7R1BbXvYS31UGtqs5P8LOjnfd9BW+LiCvauOYlYCxeT1Gie9a08d4DNQcYJCLHtDh+IV4St2vu2K4etMxOiMEY0wNZj5MxPcOLQBXwJxGZhTcP6b+A2hbXPYw3cfp1Efkl8AHehOsRwOnAmW3sbr4PVX1TRJ4E7haRwcAbeHOlpgHPx+cY/Qo4D/iXiPwKr4cpGy+Z+pyqnnFgj9ymB/B6uP4hIj/E2839IrwCmlep6q4VdB/H//yuiLwIxNrZs2WM6WUscTKmB1DVShE5DS9JeRwvUfgJXqXxGc2ui4jIyXibdl6Jt6y/DliJNxG8XZuCxp2Pt8nnV4Eb8BK4eXjL/VHVKhGZircp6E1AKV4ZgWXAkwdwv/1S1ToRmY5XPuFOIDd+v6+o6kPNLn0Ob0PTa+PxSfzHGGMSsk1+jTHGGGOSZHOcjDHGGGOSZImTMcYYY0ySLHEyxhhjjEmSJU7GGGOMMUmyxMkYY4wxJkndvhxBSUmJDh06NNVhGGOM6QFiqqzZUYcqOJJelSkUxVWoXr9sh6r2SXU8vVW3T5yGDh3K/PlWr84YY8xnd+eLS3njk20UZQdTHUpClfURXv729LX7v9J0FhuqM8YYY4D3Vpfz+tJtFGQFUh1Kq/Izu31/R7dniZMxxpheT1W5d/YKQgEn7YbompM0jq23sMTJGGNMr/fx5mo2VjaSHfSlOhST5ixxMsYY0+s99f5Gb6NC69Ex+2GJkzHGmF6toq6Jfy3fQZ7NHzJJsMTJGGNMr/bvlTtwXcXnWG+T2T9LnIwxxvRqi9ZX4ljSZJJkiZMxxphe7eNN1WQG7OvQJMf+pRhjjOm16sJRtteGCfrt69Akx/6lGGOM6bVW76jD7zi2ms4kzRInY4wxvdb22jCqmuowTDdiiZMxxpheKxJ1LXEy7WKJkzHGmF4r6iqWN5n2sMTJGGNMr+V3BGx6k2kHS5yMMcb0WgF/em/qa9KPJU7GGGN6rf55GVjeZNojrRInEckQkfdE5AMRWSIi/5PqmIwxxvRcQ4uziblqE8RN0tIqcQLCwPGqejAwGZgpIkelOCZjjDE9VGbQR7/cDMJRN9WhmG4irRIn9dTGXwbiP/a/AcYYYzrN+IF5NERiqQ7DdBNplTgBiIhPRBYB24BXVXVugmuuFJH5IjJ/+/btXR+kMcaYHmNKWYGVJDBJS7vESVVjqjoZGAQcISITElxzn6oepqqH9enTp+uDNMYY02McPaIEnwgx17Ins39plzjtoqqVwGxgZopDMcYY04PlZwY4fmxfqhoiqQ7FdANplTiJSB8RKYj/ngmcCHyS2qiMMcb0dGdMKUXAVteZ/UqrxAkYALwpIh8C8/DmOD2X4piMMcb0cKP65jCkOJvacDTVoZg0l1aJk6p+qKpTVHWSqk5Q1Z+kOiZjjDE9n4jwjeNG0hTVtJ7rZD1iqZdWiZMxxhiTKgcPLuCLBw+kMo3nOlXUp29svYUlTsYYY0zcFZ8bRnF2MC2H7BojMUJ+X6rD6PUscTLGGGPisoJ+vn/KOJqiLpFY+lQTj7lKXTjGt08clepQej1LnIwxxphmDh5cwNc/N5yqhijRNJjv5KpSUR/hrCmlHDe2b6rD6fUscTLGGGNaOPfQQVx8ZBmV9RGiKex5cl2loi7CSeP7cc2MEYhIymIxHn+qAzDGGGPSjYjw1alDCfgd/vLv1eRlBAj6u7avIRpzqWqIctqkAVx3/ChLmtKEJU7GGGNMAiLCRUcOoSgryO/eWEF9U5T8zECnJzCqSk1jjJjrcukxQ7nwiDJLmtKIJU7GGGNMG06ZOICDBxdw10ufsGRTNbkZ/k7rfYrGXKoao5QVZvH9U8cxsm9Op9zHHDhLnIwxxpj9GFiQyd1fnsxzH27i/721itpwlOyQn1AHJVCRmEtNYwxH4JKjhnD+EWUEfDYNOR1Z4mSMMcYkwXGE0yeXMnVkCS8u3sw/Fm6koi6Czwe5IX+7h9NUlbqmGJGoS8DvcPYhpZw2aQCDCrM66QlMR7DEyRhjjGmHkpwQXzl6KOcfUcbcVeU8Pn89S7dU43eEaEzxOUJGwMHvyO5kSlWJqdIYcYnElIBPiLlKWVEW5x0+mM+N6kNGwIpbdgeWOBljjDEHIOBzOHZUCceOKqEuHGX1jjpWba/lww1VfLKlmtpwjEgshqoS8DlkBf1MKs3h4EEFDO+bw7CSbPIzA6l+DNNOljgZY4wxn1F2yM+E0nwmlOZz+uTSVIdjOpHNPOtB1qxZg4jw9ttvJ3X9Aw88gN9vubMxxhiTLEucutCll17KiSee2GntDx48mM2bN3PkkUcmdf15553Hxo0bOy0eY4wxpqex7oYexOfz0b9//6Svz8zMJDMzsxMjMsYYY3oW63FKE8uWLeMLX/gCOTk55OTk8MUvfpEVK1bsPp9oWG3Dhg2ICLNnzwYSD9X99Kc/Zfjw4YRCIfr06cPJJ59MQ0NDwjYrKiq4+OKLKSsrIzMzkzFjxvDLX/4S1T2bXO7qNbvvvvsYMmQIeXl5nHHGGWzfvn33NatXr+bss89m4MCBZGVlMXHiRB588MEO/byMMcaYVLDEKQ00NDRw0kkn0djYyJw5c5gzZw61tbXMnDmTpqamA273H//4B3feeSe/+c1vWL58Oa+++iqnnHJKq9eHw2EmTpzIU089xccff8yPfvQjZs2axQMPPLDXdfPmzePNN9/k+eef56WXXmLRokXceOONu8/X1tZywgkn8NJLL7F48WKuvPJKLrvsMt58880DfhZjjDEmHdhQXRp45JFH2L59OwsWLKCkpASAxx57jKFDh/LYY49xySWXHFC7a9eupX///sycOZNAIEBZWRmTJ09u9fr+/ftz00037X49bNgw5s2bxyOPPMJll122+3gwGOSBBx4gFAoBcM011/Cb3/xm9/mJEycyceLE3a+vu+46XnvtNR555BGOO+64A3oWY4wxJh1Yj1MaWLJkCePHj9+dNAH069ePMWPGsGTJkgNu98tf/jKRSIQhQ4Zw6aWX8uCDD1JTU9Pq9a7rcueddzJ58mRKSkrIycnhj3/8I2vXrt3runHjxu1OmgBKS0vZunXr7tf19fXcfPPNHHTQQRQVFZGTk8MLL7ywTzvGGGNMd2OJU5pIVKpfVXcfd5x9/6oikUibbZaWlvLJJ5/w5z//mb59+3LrrbcyZswY1q9fn/D6X/7yl9xxxx1cd911vPrqqyxatIgrrrhin+HCYDC4T+zN50F973vf46GHHuLHP/4xb775JosWLeLUU0/9TMOOxhhjTDqwxCkNHHTQQSxZsoQdO3bsPrZ161Y+/fRTDjroIAD69u1LLBbbq2dn4cKF+207FAoxc+ZM7rrrLhYvXkx9fT1PPfVUwmvfeustZs6cyeWXX86UKVMYOXIky5cvb/fzvPXWW1x00UWcd955HHzwwQwfPpxPP/203e0YY4wx6cbmOHWx2tpaFi1atNexqVOn0qdPH8477zx+/vOfo6rceOONlJaWct555wFwxBFHkJuby80338wPfvADVq5cyU9+8pM273X//ffjui5HHHEEBQUFvP7669TU1DB+/PiE148ZM4YHH3yQN998k9LSUv76178yd+5cCgsL2/WMY8aM4emnn+acc84hJyeHu+++m02bNtGvX792tWOMMcakG+tx6mJz585lypQpe/2cddZZvPLKK4RCIaZNm8b06dPJzs7mpZde2j0sVlRUxKOPPsq7777LpEmTuPXWW7nrrrvavFdhYSF/+ctfmDFjBuPGjePuu+/mvvvu44QTTkh4/Y9+9COmT5/OGWecwdFHH01FRQXXX399u5/xV7/6FUOGDOG4447jhBNOoLS0lHPPPbfd7RhjjDHpRprPTemODjvsMJ0/f36qwzgg5XVNrNhWi6oypDib/vkZqQ7JGGNMmhORBap6WKrj6K1sqC4FttU08sfZK/n3yp1el5+A6ypTygq5dsZIyoqzUh2iMcYYYxKwobp2uuWWWxg5cuTu1y2rb8+ePRsRYcOGDQnfv626kW8+8j5vr9hBXoaf/KwA+ZkB8rMCvL+ukuseXciq7bX7vG9/7RpjjDGm81nilIT2bM47depUNm/ezMCBAxOe//Vry6mqj1CUHcTn7ClB4IhQmB2gKeZy+/NLaTmEur92jTHGGNP5LHHqYMFgkP79+yesu7SlqpEFa8vJz2p9hDQvw8+GigaWbt67UGVb7RpjjDGma9i3cAdrOaS26/Wrr77KSScex2s3nczL/3MRm5e8u9f7qres5a3ffZd/fOtEXr/5ZL5y3tl7bfLbst1IJMJ3vvMdBg0aRCgUYsCAAZx//vld96DGGGNML2SJUxe58cYbueCK6zn6e3+mcMhY/vOnH9NU7/UqRZvCzPnNDcQiTRz33d8z5dpf01hf1+Ymv7/73e94/PHHeeihh1i+fDnPPPMMRx11VFc+kjHGGNPrWOLURWbNmsXZZ5xGdp9SJp11LZGGWnau9vahW/feK4RrKpl65a0UDRlLUdk4fvb7+9m4cSOPPfZYwvbWrl3L6NGjmT59OmVlZRx++OHccMMNXflIxhhjTK9jiVMXmTx5MqP75VBakEUsowBxfDRWVwBQtWkVeQOGEcopoDESIyvo4+TDx7a5ye9ll13G4sWLGTlyJFdffTVPPvmk7QVnjDHGdDJLnLpIMBhERLjhxFHE3PiKOXX3XCAQjsSoD8f41gmjCPicvTb5bWny5MmsXr2aX/ziFwSDQb71rW8xefJkqquru+BpjDHGmN7JEqcuNmlQAbefNQGAuqYoO2ub8BeXUbVpNfXVldx0ylhmjO27zya/ieTk5HDWWWfx29/+lvnz57N06VLmzJnTVY9ijDHG9DpWOTwFDh1ShCNwxsGlDD50EA3jL+HOfz1C06t3U3jyL1iwYMM+m/y29POf/5yBAwcyefJksrKyePTRR/H5fIwePbqLn8YYY4zpPSxxSqFR/XK5dPoIAE5983W+/e1vM23aNABmzJix1ya/LeXl5XH33XezfPlyXNdl3LhxPPnkk4wZM6bL4jfGGGN6G9vk9wBEYi6OyF6Vv40xxpiuYJv8ppb1OCUpGnN5eckWHp+/no2VjQhw5PAizj+8jAml+akOzxhjjDFdwBKnJERjLrOeWcLc1eVkBR2KswMoMG9NOe+tLud7J4/h8+P7pzpMY4wxxnSytFpVJyKDReRNEVkqIktE5Fupjgng2Q82MXdVOcXZAbKCfkTE25Q3K0hOyM/dr3zKtprGVIdpjDHGmE6WVokTEAW+q6rjgKOAb4jI+FQGpKr8bf56skO+hDWVgn6HmCovfbQlBdEZY4wxpiulVeKkqptVdWH89xpgKVCaypiqG6KU1zWRGfS1ek3Q5/DhhqoujMoYY4wxqZBWiVNzIjIUmALMTWUcPp/Xy9TW6kMXxW8r7IwxxpgeLy0TJxHJAZ4EblDVffYQEZErRWS+iMzfvn17p8aSE/Izsm8OteFoq9dEY8r00X06NQ5jjDHGpF7aJU4iEsBLmh5W1X8kukZV71PVw1T1sD59Oj9hufioITRFlWjM3edcTWOU3JCfaZY4GWOMMT1eWpUjEG/29f3AUlW9O9Xx7DJ1RAmXHTOU/3tnDQpkBnzEVGmKuuSE/Nx5ziSyQ2n1UaKqrNpRx/ryehwRxvbPpW9eRqrDMsYYY7q19Pq2h2OArwCLRWRR/NgPVPWFFMYEwIVHDuHoESU8u2gTH22qIuh3OGFsX04Y34+8jECqw9vLRxur+N0by1m9ow4nvhLQVTh8aCHfPH4kA/IzUxyhMcYY0z3Zlis9zIK15fzwnx/hOJAb8u8uoeCqUlkfITcjwD0XTrHkyRhjuinbciW1kprjJCKjReSIZq8zReQOEXlWRL7ZeeGZ9ghHY9z63FJCfoe8jMBedaccEYqyg9SGo/zi5WUpjNIYY4zpvpKdHH4PcG6z17cD3wUGAr8SkW90dGCm/d5ZuZOGplibNacKMv0s3ljN+vL6LozMGGOM6RmSTZwmAf8GEBEHuAS4SVUPBW4Druyc8Ex7zF21E6TtoVevF0pZsskKdhpjjDHtlWziVADsjP8+BSgE/h5/PRsY3rFhmQPRFHV3TwZvk0Ik1r3nthljjDGpkGzitBUYGf/9JGClqq6Pv87B22POpNjwPjnEkkiIHEcYWGClCYwxxpj2SjZxega4Q0R+gTe36Ylm5yYCqzo6MNN+J43vhwjE3NaTp4ZIjLzMAJMHF3ZhZMYYY0zPkGzidDPwHHAyXhJ1e7NzpwOvdHBc5gD0zcvg9MmlVNRHcBMkT01Rl/pwjGunj8Bne+sZY4wx7ZZUAUxVrQO+3sq5qR0akflMrp4+gpirPPfhJgCCfgdViMRcfCLccOIoZoztm+IojTHGmO4p3SqHm8/I5wjXnzCKsw8p5fkPN7NsSw0+Rzh8WBEnje9HQVYw1SEaY4wx3VariZOIvNGOdlRVT+iAeEwHGVSYxVXTR6Q6DGOMMaZHaavHyQGSXbNuE2aMMcYY0+O1mjip6owujMMYY4wxJu0lu6rOGGOMMabXa9fkcBEpBEYB+1RPVNW3OiooY4wxxph0lFTiJCIZwJ+BL9P6fKbWd5Y1xhhjjOkBkh2q+xEwA/gqXuL0TeAK4G1gJXBaZwRnjDHGGJNOkk2czgF+AjwWfz1XVf+iqtOBD4CZnRGcMcYYY0w6STZxKgOWqGoMiADZzc79GTivowMzxhhjjEk3ySZOO4Gc+O/rgYObnSsBMjsyKGOMMcaYdJTsqrp3gSnAi8CTwK0ikgtEge/izXUyLVTUNfH6J1tZtb2O3Aw/00f3ZdyAXESsXqgxxhjTHSWbOP0Mb7gO4DZgJN6cJx9eUnVNx4fWvT3/4SbueWMFUVfxORBz4Z/vb2Ty4AJmffEgskO2TaAxxhjT3SQ1VKeq81X1H/Hfa1T1HLyhuwJVnaqq6zozyO7mvdXl/Pq15WQGfRTnBCnIClKcE6QwK8D76yq548WlqQ7RGGOMMQfggCuHq2pYVas7Mpie4oF3VhP0C0H/3h+viFCUHeC91eWs2VGXouiMMcYYc6CSLYB5yf6uUdW/fvZwur+KuiaWb6ulKCuQ8LyI4Koyf005Q0uyE15jjDHGmPSU7ESbB1o5rs1+t8QJiMRcfCJtTwBXaIy6XReUMcYYYzpEsonTsATHivEqhl8IXNxhEXVzhdlBMgI+mqLuPkN1u/h8wnDrbTLGGGO6naQSJ1Vdm+DwWmCheF0r38FLoHq9gM/hzMkDeejdtRTnBPfpeaoLR8kJBTh8WFGKIjTGGGPMgTrgyeHN/Av4Qge002Ocf0QZ4wbmsbO2iYZIDICYq5TXNeEq3PLFgwj4OuKjN8YYY0xX6ohiQkcBtR3QTo+REfDx83MP5rkPN/H3+RvYUduEz7UjtBoAACAASURBVBGOH9uXC44oY0hx4mG6xkiMfy3fzutLt9EYiTF+YB6nThzAoMKsLn4CY4wxxiQiqrr/i0R+nOBwEJiA19t0j6p+u4NjS8phhx2m8+fPT8Wtk6KqNMVcgj6nzQnjGyrq+d4TH7KzLozfEXyOEI66CMJV04dz9iGDujBqY4wx6UpEFqjqYamOo7dKtsfplgTHwnjznG4H7uiogHoaESHk97V5TSTmctOTi6mob6IoO7j7eHbIO3fv7JUMKc7i0CE2L8oYY4xJpWQnh9uEnE703upydtQ2UpgV3OdcwOfg9wkPvbvOEidjjDEmxSwhSgP/XrFj74pYLeRl+Fm8sYpwNNZ1QRljjDFmH632OIlIWWvnErH96g5c1HXbLpgJCOBazUxjjDEmpdoaqltDm/0g+2h7Io9p1aTSAmYv297q+fqmGAMLMsgIdG0H4abKBpZtqQFgTP9cBhZkdun9jTHGmHTTVuL0NfYkTiHgv4Fq4HFgK9Af+DKQC9zaiTH2eDPG9uX/vbWKhqYYmcG9809VpaHJ5fwZZfvtleooO2rD/OLlZSxcV7H7nqrKIWWF3HjyGEpyQl0ShzHGGJNuki1H8GtgKHCWNntDvGr4U8AqK0eQnKqGCNUNEfKzAuRl7NkIeMHacn701BKirktuhh+fI9SFYzRFXWaM6cP3TxmH43R+4lTVEOEbDy9ke00jBVmB3YmTq0pVfYQ+uRn8/qJDyM9MvImxMcaYzmXlCFIr2XIEFwCXaossS1VVRP6ItwlwShKndLKtppE5y7azqbKB/vkZHDemL33zMgBYX17Pn/61irmrynEcb77S1JHFfP1zwxlYkMmhQ4q49+JD+PuCDcxetp2maIwRfbP58mGDmTaqT5ckTQBPL9rIlupGSnL2XuHniFCYHWRrdSPPfrCRi48a2iXxGGOMMekk2R6nOuAaVf1rgnNfBX6vqjmdEN9+pUOPk6ryyHvrePA/a4m5iiPgKjgClxw9lGNHlnD9396noSlGQWYAxxFcV6msj5CT4ee3F0xJi+rgqso5976DAqFWNij2inLCk9dM7bKhQ2OMMXtYj1NqJTvbeDbwUxE5vPlBETkCrwDm7I4Nq3t545Nt/OXfa8gJ+SjOCVKYHaQ4J0huhp+//Hs13//nhzQ2uRRlB3f3HDmOUJQTpLYxyn1vrUrxE3jCUZfqxmirSRN4CVV1Y5SmmC3xM8YY0/skmzh9E69S+LsiskZE5orIGuA/QGP8fK+kqvzfO2vICjr4W2zc6/c5BP0+Fq2vIi8z8aLDguwAc1eXU1nf1BXhtinoc/A7QsxtvRcy5ip+Rwg4VgLMGGNM75PUt5+qrgbGAlcDrwM7439eBYxT1TUdFZCI/FlEtonIRx3VZmfaXhNma02YzEDixMjneMlGax00jgg+gfK61CdOjiPMGNOHqoZIq9dUNUQ4YWzfLptzZYwxxqSTZCeHo6oR4E/xn870AHAPsM98qnTkqlecsrX5PgGfA+qtSkv8fi+pSpdVaucfXsZbn+5IWBqhoSmG33H40mGDUxSdMcYYk1ppN96iqm8B5amOI1l9ckPkZvhpjCTeDsVVJTvka/V8VUOESYPyKU6T2khDS7K57awJqHq9YFUNEaoaIpTXNaEKt501gaEl2akO0xhjjEmJtrZcWYVXt+kDEVlN21XEVVVHdHh03YDPES44oow/vLmSoN/Badbz5KpSG47ytWOH8eJHW6hqiJCX4UdEUFWqG6MEfA5XTU+vj+6QskIevfIo5ny6jXlrKgA4fGgh00f3JTuUdCelMcYY0+O09S04B69S+K7f27P9SqcSkSuBKwHKytq1pV6nOHNyKWt21PPyks0o3iTrpqi3/9zMgwZw7YyRnDi+H799fTkrt9fhEyHmuozpn8f1J4xkZN+UVHJoU3bIz6kTB3LqxIGpDsUYY4xJG0nVcepqIjIUeE5VJ+zv2nSo4wTe6rplW2t4cfEWNlU2MCA/g1MmDmBs/9y95j9tqKinsj5CYXaQUtv7zRhjTDtZHafU+kzjLiJSrKo7OyqYVFFVPtlSw1ufbqcmHGX8gFymje5LTjuGpUSEsf3zGNs/r83rBhVmMajws0ZsjDHGmFRIKjMQka8DBar68/jricCLwAAReR84TVW3dERAIvIoMAMoEZENwCxVvb8j2k4kHI1x+/NLeXfVTlTBceCVJVv445xV3HbmBCYNKuisWxtjjDGmm0l2Vd11QEOz13cDlcANQD7wk44KSFUvUNUBqhpQ1UGdmTQB3PfWKt5ZuZPCrIBX9TsrSFF2EFB++M/FbK8Jd+btjTHGGNONJJs4lQGfAIhIPjAd+C9V/R0wCzi5c8LrXDWNEV5YvJmCrMA+dZiygn7CUZeXl2xOUXTGGGOMSTfJJk4+YFft62PxVtjNjr9eD/Tt2LC6xsrtdQD4W6mCHfI7vLuq25SUMsYYY0wnS3b283LgC8AbwPnAO6paHz83kG5UsLI5n0ibRRZU45W/u4GaxgjvrNxJeW0TxTlBpo4sadfkdmOMMcbsX7LfrL8AHhSRrwKFwJeanTsO+LCjA+sKo/vnEPB7NZeC/n0TpKaYy/Fj0r8z7ZlFG/njnFVEXZeYq/gcwf/acr553AhOnWR1mIwxxpiOklTipKqPiMg64EhgXnxblF22As90RnCdLeT3cfGRQ7jvXyspyAzgj/cuqSpVDVEKs4IcNy69E6c5y7bxuzdWkJfpJ+Db89fZFHX51WvLKcwOcvSIkhRGaIwxxvQc7dnk923g7QTHZ3VoRF3sS4cNojEa49G563A1iqvgOEJZUSa3nD4hrYe7VJX7315NZtDZZ0gx6HcIBRzuf3s1Rw0vbnUTYmOMMcYkL+msQESygcuBaUAxcKWqLheR84FFqvpJJ8XYqUSES44eyhmTS5m/ppzGiMuQ4iwOGpiHqpecpGvSsbGyga3VYQqyEv81Zgd9rC9vYHtNmL55GV0cnTHGGNPzJFsAczDeKrpBeGUJJgC58dPHAScCV3RCfF0mPzPACeP6oaq8tnQrv3r1U9bsrCPk9/H58f04/4jBDMhPry1SojHF59BqYiciOI43V8sYY4wxn12yS8Z+CYSBUcChQPNv6jl4vVDdnqry69eWc9dLy9hW00hJTpCsoMOLizdzzUMLWbuzLtUh7qV/fgY+xyHSSmLUFHUJ+hz65lpvkzHGGNMRkk2cPo+39ck69l3AvxEo7dCoUuTDDVW8+NFmCrMDZIf8iAh+n0NRTpDGSIy7X/k01SHuJSPg4/SDB1LdEKXlZs2qSnVjhLMPGZRwxaAxxhhj2i/Zb9QgUNPKuXwg0jHhpNazH2xCACfB0Fd+pp+lW6rZWNmw7xtT6JKpQ5g8uIDyugjVjRHCkRjVDRHK6yIcPrSIC44oS3WIxhhjTI+R7OTwD4FzgJcSnDsFWNBhEaXQxsoGQoHEuaSI4HccdtaGKS1In7lOIb+PO86eyDsrd/LUoo1sq25kRN9MzpxcylHDi3aXWDDGGGPMZ5ds4vRz4O/xSciPxI+NF5Ez8Fband4JsXW5AfkZrNpRS1Zw33OqStR14xsApxe/z2Ha6D5MG90n1aG0KhpzWbKpmtpwlP75GQwvyU7b1YrGGGNMa5ItgPkPEbkWuBP4WvzwX/GG776pqol6orqdLx48kLeX78BV3We4rqohyuh+uQwqzEpRdN3X60u38ofZK6kLRxHAVWVYnxxunjmWoSXZqQ7PGGOMSVrS4ziq+ke8SeAnAxfjDdENUtX7Oim2Ljd5cAEnju9HeV2E+iZvwnXMVcprmwj5Hb7z+dGpDrHbeeOTbdz54ifEXJeCrAD5WQEKsgKs3VHHDX9bxOaq9JozZowxxrSlXRNgVLVOVV9T1UdU9WVVrRGRs0SkR8xxEhFuPGkM3zlxNAWZQXbWRahpjHLi+H78/qJDGN4np1PvH47G2FrdSG042qn36SrRmMsfZq8gK+QjI+DbfVxEyM8KUBeO8vi89SmM0BhjjGmfNofqRCQPmAmUASuBZ1Q1Fj93DjALrxjmms4Ns+s4jnDqpAGcOmkATVEXvyM4zr5zcZqiLvPWlLNmRx25mQGOHl5Mn9zQAd2zLhzl/95ZwwuLNxN1FVeVI4YV8fXPDWdIcfcdyvpkSw21jVEKsgIJz+dn+nl5yVauP2GUzXcyxhjTLbSaOInIeOBFvGrhu77V3olPCH8MOB7YDHwT+FMnx5kSLesfrS+vZ86n21mxrZZ/Ld+GI+LtbSfC799YzpcOG8zlxw5rVxLQGInxvSc+4NOtteRn+cnxObiqzFtdweIN7/Pr86cwrJvOA6oLR2nro/A5QjgaI+Yqfp8lTsYYY9JfWz1OPwUyga8AC4FhwF3Ae8AQ4CfAz1S1sbOD7GzhaIzZy7bzzKJNVNQ3MaQ4m7MPKeWwIYWICK6r3PPmCp77cBPRmMvGSu+R/T5haHE2uRl+Yq7yt3nrKcwKcM6hg5O+96tLtvLptlqKcwK7Ey5HhMLsAJV1Ee6dvYK7zj24U567sw0syCTmaqv7/TVGXPrlZVjJBGOMMd1GW99YxwA/js9n+kRVX8RbUTcM+B9V/Z+ekDQ1NMX43hMf8ouXl7G2vI6GSIxF6yr4wT8Wc8+bK1BVHp+/nmc+2ERBZmB3D1PI74DC6h11hKMuPkfICfl4eO46ou3YG+6pRRvJCjoJE4u8LD+L1ldSXte033ZUdZ/q4ak2uCiLcQPyqKzfd86WqlIXjvKlQwelIDJjjDHmwLTV41SEV/iyuQ/if77eOeF0vYfnruXjzdUUZ+/p8Qn5HVxXeWbRJg4tK+SxeevJzfDjOEJVQwQnnm76HCESU3bWhhlYkEko4KOqPsK68vqkJ5JX1DcRaKXHxRHB7wg1jZGE9aNUlf+s2skjc9fxyeYaAn5h+ug+XHBEWdrMjfreyWO44bFF7KxtIi/Tj98RGiIu9U0xDhlSyBcmDUx1iMYYY0zS2upxEqBlV0Es/me372kCiMRcnlm0ifxM/z49Po4j+H3CQ++uJRyJeT1MCTgCNY0HvgqutDCTxkgs4bmYq7hKq0U3H3x3LbOeXsLqHd5QX07IzxufbOPahxfy0caqA46pIw0qzOLeiw/l3EMHEY0pO2sj5GcGuP74Udx25kTbR88YY0y3sr8CmFeKyGnNXgveJr/XiMjmZsdVVWd1eHSdrKohQlPMJSuUeNVXZsDHhor6vXY1LsgKsKUqjG/P6vrdM+fDkRhZIT9lRckXyTz30MHc9tzHCecBVdZHOH5sX3Iz9o1vzY46Hnp3LflZAfzxVX8+8ZKs2sYod7y4lIcuPzItVqv1yQ1x1fQRXDV9RKvznYwxxpjuYH+J09daOX55i9eKV5qgW8kOeo/vupqw5EAk5k1erg1HaWiKkRn0UZQdYltNmJir+BzBVSU/K0DMVWrCMb5x3LB2TXb+3MgSZozpw+xl2wkFHDIDPiIxl9rGGAMKMrh6+oiE73tpyRZU2Z007fVcIR87appYsqmaCaX5ScfSFSxpMsYY0521+g2vqk47fnyttZPOMoM+po4oprI+ss85VaUh4nLm5FIuP3YY9U0xIjGXgE8Y0ScHEQhHXFwFQahujHLRkWWcObl9c3YcR/j+KeO4aeYYSvMzqQvHCPl9XHrMUO658BAKWxmmW1deT9CfOAkREURge024XbEYY4wxpm3JbvLbY33t2GEsXFdJeW0TBVkBHEeIxFyqG6KM6pvDieP7kRHwUdMY5f63V1MXjuGqMrAgk8yAj5kH9aOsOIejhhdRnHNgBTAdRzhxfH9OHN8/6ff0z8tgfqztVXStFZ40xhhjzIHp9YnToMIs7rlwCv/7r1X8Z2U5jnir5c6cUspXpw7dvVXI2YcM4uSD+rNgbQX1TVEGFWZx0MC8lA09nTKhP899uCnhMGN9U5TcDD+TBhWkJDZjjDGmp+r1iRN4ydMtp0+gNhylLuxtERLy7zv6mB3yM210nxREuK+RfXM4bdJAnv1gE5lBb26UAtUN3gq/H582Fl+C+U/GGGOMOXCWODWTE/KTE+oeH4mIcN3xIxnVN4eH565ja7VXIeKQskK+OnUo4wfmpThCY4wxpufpHlmCSUhEOGXiAGZO6E9tOIrfccgMdst5+sYYY0y3YIlTDyAiCWs9dbV1O+t5cuEG3lm5A4CjhxdzzqGD0qaKuTHGGPNZWdnmbkBVqWqI0NCUuMJ4Onh/XQVXP7SAFz/aTMxVYq7y8pKtXPPQQhasLU91eMYYY0yHaLXHSUTeaEc7qqondEA8phnXVZ79cBOPvrfO2+hX4fBhRVx2zFBG9s1NdXi7haMxfvLsx/h9kJe5p+5U0O/Q0BTj1meX8thVR+1eoWiMMcZ0V231ODl4u4ns+hkLzACGApnxP2cAY9iz64jpIKrKr177lN++voKGphhF2UEKsgPMX1vO9Y8uYskmby+6qoYIGyrqU9obNXdVOfVNMbKC++bhmUEfDZEo767amYLIjDHGmI7Vao+Tqs7Y9buInAn8BjhKVd9rdvxI4G/xc6YDfbKlhpeXbKE4J4ATrxXliFCYFaSmMcJtzy9leEk289ZU4AiIwOfH9eOKacPJ6+L5TluqG4m6bqvno66yuapH7AttjDGml0t2cvitwI+aJ00AqjpXRG4BbgOe7uDY0pKqMm9NBU8u2MDanXUUZAU5Y/JAjh/XN2HtpwP18kdbQNmdNDUX8Dm8v66CzZUN9M0L4YgQjbm8+NEWPt5czW8vmJKw96ez5GcG2qwZ5YhQkJn6yevGGGPMZ5Xs5PBRwPZWzm0DRnZMOOlNVfnD7JX88J+L+XBjJU0xl42V9dz96qd89/EPOnS4bFttmECLvejCUZdNlQ18vLmGcMSlMRIjGt92xe9zKM4JsnZnvZd0daGjhhfjE2+rmpYiMRefI0wdUdKlMRljjDGdIdnEaTVwVSvnrgLWdEg0aW7B2gqeen8jhVkB8jMDBP0O2SE/RdkBPtlSzV//s6bD7jWsOJtIszysNhxl2ZYatteEiUS9BKWyPsKyLTXUN0V3X5cZdHj2w837bd91lQVry3nsvXU89f5GNlTUH3Cs+ZkBrp4xguqGKLXhKKqKqlIXjlLVEOXKzw0n3/bNM8YY0wMkO57zP8DDIvIR8HdgK9APOBdv0vhFnRNeenly4UZ8juyzN5yIkJ8Z4LkPN3PZMcMI+j97lYeZE/rz9wXrd/fYrNlRhwA+xwFc/D4h6HeIucrqHfWMH5CLiBDwOVQ3Rtpse2NlAz/852K2VDUSibmICI7ASeP7c8OJo/D72h//GZNLKc4O8sA7a1hb7iVhZYVZfHXqEKaN7nsAn4AxxhiTfpJKnFT1MRHZgZdAfR8IABFgHnCyqr7eeSGmj7U761qtzB3wOdSFI1Q3RijJCX2m+1TVR9hRG+YLkwbw7AebaIjEiLqK3xGirosIBOPJjc8RIq5SE46SlxGgvinGxNL8VtsOR2Pc+MQHVNQ1UdCsF8hV5aUlW8jJ8HP19BEHFPexo/pwzMgSqhuiKEp+ZiBlmyAbY4wxnSHpGcSq+hrwmog4QAmwQ1VbX0rVAxVmBakuryOUoEcp5npzjbI/w6TsxkiM37+5glc/3ooIuyeHZ/h9qILjOPTJDeC6sK2mEQdB8OZeNUVdYq4SjSnnHjq41Xu8s2InO2vDFGUH9zruTeD28/SijVx81JAD3rNPRGxYzhhjTI91IGNKWXh1nDqlmqGIzBSRZSKyQkRu7ox7HKjTJw8kHHFR1X3OVdVH+NyokgPeK05VmfX0R7z00RZyM/zkZwbIzwqQFfJRG45RmBVk/IBc+uVl0C8/g9yMANGYEo0nbA2RGFUNEc49dBCHDy1s9T7vrtpJawvgdg3Rfbq15oCewRhjjOnpkk6cROQ0EVkIVAGrgInx4/8rIhd2RDAi4gN+D5wCjAcuEJHxHdF2R5gxpg/jB+axszZCU3yCdsxVdtY2kZsZ4GvHDjvgtj/aWM2i9VUUZe+9tD/k99E3N0hlQxPh+D0dgWEl2QwtziLT78PvCMeN7std5x7MldOGtzk8JgL7pn3NqFUzNcYYY1qTVOIUL4D5NLADuIm9v1tXA1/toHiOAFao6ipVbQIeA87ooLY/s5Dfx8/OmcQFR5YRc5WKugg1jVGOG9uHey6cwoD8zANu+63l21HVhElPVshPYWaA7TVh6uKr1kDx+YSinCB3nj2J286ayOTBBfudU3TMyJJWM6dIzMVxhLH98w74OYwxxpieLNmJLLOAv6jqFSLiB+5qdu4j4NoOiqcUWN/s9QbgyJYXiciVwJUAZWVlHXTr5GQEfFx+7DC+evQQahqjZAZ9HbIHW3ldmOrGCOX1TYC3xL8wO4g/3vtUkB3k9EkDmbumnM2VDShQVpTFZccM5ZiRfZK+z5HDihlQkMnmykYKsvy7E62Yq1Q1RPnKUWUHPNxojDHG9HTJJk7jgP+K/96yv6ICKO6geBJ1l+zTP6Kq9wH3ARx22GFtjjx1Fr/PobDFBOsDtWJbLa8v3UZ5fYRAPFGqC8fYVhNmRJ8cgn4h5sI5hw7i6hkjqKiPIEBBVvtXrQX9Dj8/92BmPfMRK7fV4qo3fCcinHvoIL5y1NAOeSZjjDGmJ0o2carGW0mXyFBaryreXhuA5kvCBgGbOqjttBSNufz3U4vJDDgEfYKqV2LAh7fH26rttfTLy2DqyGKqGyO8+vFWwlGXouwgGysb2FrdyKCCTGZOGEBZcVZS9+yTG+L3Fx7Csq01rNhWS9DncOiQQoo/YxkFY4wxpqdLNnF6Ffi+iLwI7FpypSISAr4JvNhB8cwDRonIMGAjcD7QIRPP09X8tRVU1kcoyAoS8Dus2l5HJKYIigKNEZfinCCNTTGufXghMdelsj5CTTiGX4TSwkxEvOKcl0wdwkVHDknqviLeXCabz2SMMcYkL9nE6YfAe8Ay4AW84bObgUlAPnBmRwSjqlER+SbwMl65gz+r6pKOaDtdrdtZt3uPt6ygn3ED8qiob6K2MYojgoiQFfKxYF0lxdkBKusj1DfFCPmEmMLWmjBj++VQUd/ET59fyn1zVtEnN8QXJg3gzMmlHTacaIwxxpgkV9Wp6hrgEOA54PNADJgGvAscqaodNpymqi+o6mhVHaGqt3dUu+kqK+THaTZPyecIJTkhhpZkU1acRUbAYdnmWori85m21YR3J1R+R2iKxFi1vY4NFQ1EXaU2HCGmLo/MXce1Dy9ke004hU9njDHG9CxJ13FS1Q2qermqDlLVoKoOUNXLVHX9/t9tWnPksGIcR3ZXHm8uGnNpirpkh3w4jqCqNERiexWwVIXKhgh+x9u7riHiEvL7KM4JsrMuzL2zV3Th0xhjjDE9W1JDdSJyCfCpqr6b4FwJcKqq/rWjg0sXizdU8cjctSxYV4EjwtQRxVx4ZBkj++Z+5rb75Ib40qGDeGzeOnJDfkLx0gaNkRi14RgnHdSPd1bs3H19yzV03t51Xg+Ut0JuzxX5mQHeWbmTqoYI+Zm2DYoxxhjzWSXb4/QA8JaIfCPBuRHAXzosojTz6sdb+O4Ti3h/fSUFmQFyM/z8e8VOrnvkfRasLe+Qe1x+7DCunTESx3Goqo9QVR8h4HP41gmjuP6EUSB7EqTCrODubVY0/uP37anFVNRsnzifIzgC5XVNHRKnMcYY09u1ZyfXp4Hfisho4AZNtGFbD1PdGOFXry4nJ+Qn2Gxj38LsAA1NMW5/fil/u+poAr6288+qhgivfryFVz/eSlPUZUpZIWdOLt1dPkBEOPuQQZx+8EDWVzQgwKDCzN17x51zyCAee289hdkB+uaFqGqIEIm5qELA5yB4pQt8jtAnd09JAVeVmEKB9TYZY4wxHaI9idPPgcfxep+Gi8j5qlrXKVGliX8v30HUdQn69/2YMoM+KuoiLFxbwZHDW6//ubmqgRseW0R5XRMZAQefIzz34SZeXLyZH35hHMeO2lP12+9zGFaSvU8blx0zjEjM5alFm0CVktwQO2rD+EXIywywtTpMdshhSHH2XgleVX2Ew4YW7bOyLhJzefmjLTyxYAObqxooyAxy+uQBnDllEDmh9vyTMMYYY3qXdn1LquoTIrIar/fpbRE5rXPCSg9bqxtx2+hYU1V27mcY7KcvLKWqIUJxzp7kJSPgozES46cvfMLDV+Tvt2SAzxGumTGS8w8vY9H6SiIxl1F9c0CEHbWNPDF/AwvXVuKqoqq7t0/Jywxw7XEj92orGnOZ9fQS3ltdTlbIoSArQCQa44F31vD60m38+vwpNh/KGGPM/2/vzuOjrM7+j3+umclkJQlb2FfZdxUQkYIsFqt1wSpirRbUn492s2rVarVufapttSp9tNbaloq17oq7ZRE3VERFAWVTyiJhJ4Hss5zfHzPEJCRhQibJJHzfr9e8krnvM/dcJ4PJ5Tnnvo7UoM7DC865ZWZ2HPACkYKVv417VAkiJzO5UqmAigKhMHnFZTyweD1/e2cDgzq14pyR3RjSOYtPNufx5Y795JcEWfX1Ptq3OjgxSknyUlRWxsLV2zlzRBfWbi+gOBCie5u0StNtFbVO9zNxQE6lY73apXNM9za8siKXx5duYvv+UpK8Hk4Z2onzj+tOTmZKpfYLvtjO0v/uoW3GN9u1JCd5SU7ysnlvMXPf+y8/mdT3MH5aIiIiLZ/FslTJzMLAGOfc0grH0oB/AWcAzjnXJDvDjhw50i1btqxBrr2vJMCMv7xPSpKn0hRYaTDM2m37CYUd/Tu2wuc1CkqDBIKOJK8BRjAcpjgQYldBGe0zkukarfBdUV5RgC7ZqWzLL46WEfAQdo7jj2rLlSf1P6yRn7JgmCSv1biH3SX//JDt+0pIr2ZKLhAKUxoI88yPxpLs00a/IiKJyMw+cs6NbOo4jlSx3lV3K5F95Mo554qcc9OAG4AWWYogMyWJcm5H9QAAIABJREFUK0/qS0FpkPyiQGSxddjx5Y4CAmHHUTkZpPq9JHk9ZKX62bG/hA27i0j1e2jfKpnWaX68HmNPYRm5+SWVrh0Mh9myt5jFa3bw5a5CcvOL2ZpfjBm8u343v3jqU0qDoTrH7Pd5at34d/u+ElKSqk+KkrweAmFHQUmwzu8rIiJyJIi1cvitNVUHd87d6ZybFd+wEsdJgzpy1znDGdIli6/3FrN2+35Kg2G6ZKWQnvxNApJXVEYoDN4Kt/9nJHvxGngMdhWUlhe5DDvH+h2FFJYGSfJ68Hs9+DxGMOTYuLsInwc27i5kyZe7q42pPtqkJ1MaDFd7Lhh2eIxqR6NERESklsTJzMabWUaF72t9NF7Ija9DZgrb95WQkewrv7V/274S1mzbT1k0CdlXHMQsUlqgOBA5ZmZ0yU4l7CI1lgpLIyM5O/eXRveig6ToFKCZResuGVvzS/AavL5yW9z7Mu3oLhSVhahuija/KMDkAR1qHJESERE50tU2tLAYGENkc9/FRGotVsei51rkX1vnHDc+v5Id+0tone6nuCzEjv1l+LxGWTDMV7sK6d8ho1J7v/ebqbLW6X48Hti8p5iC0iBhF1nblJ2WRFFZ6KBK4B6DslCk/lJhWfynzE4e0pEFX2xn9bb9ZKZE6lMFQ2Hyi4O0zfAz84SecX9PERGRlqK2xGki8Hn0+0nUnDi1aCu+zmfT7kKyoxW5U/1ekn0eykJhfB6jNBCmsDREVqqPvKIyzKBNlfIC6X4f3Vqn8cAPjiXJa9z64udszStmw65CHJW3UTEzCIcpLA0yuHNm3PuTkuTlD2cP54llm3j+k63sKSwjyevhtOGd+f5x3WmXUf0dfSIiIlJL4uSce7PC94sbJZoEtG57AcGwq7TgulubNL7cWUDIRUaYisqCZKREbu9P83tJTfpmBjQcduQVB5k+smt5ccshnTPZtLuI1mlJ7CkM4PNaefXv0kCIsItM572wPJdWyUmcO6pbeRXxeEj1e5k5thcXjulJUSBEis8T1+uLiIi0VDH9tTSzr8xseA3nhpjZV/ENK3H4vHZQLaf0ZC99czLISPYRco6ishCpSV6uPbkfw7pmkV8cYuf+UnYXlJFfHODUoZ246IRe5a8/fUQXzCIb/Kb5vQRDjtJgmKKySNLk9Ri926eTnOThH0v+yx2vrq52TVJ9eTxGRrJPSZOIiEiMYr19qidQ0xxOCtAjLtEkoFE922AWuROuYgKV6vfSs10aWYVJzJ5xNP07tsLjMWaO7cWnW/L5ckcBfp+HUT3b0DGrchHKXu3S+dmkPty3cD1t0v1kpobZtKcIj0Wm0vrmZJSvoUr3e3hr7Q5WjujC0K5Zjd19ERERqaAu953XNOQxEsiLQywJqXN2KlMGduA/n2+ndVoSXk8keQqFHXuLAkwZmMPACmuRzIwR3bIZ0S271uueMqwzAztn8eKnW3n/q93sKQzQKSuZVL+XrXkl5XfpORdZMP7P9zZw1zkjGrSvIiIiUrsaEyczuxK4MvrUAS+aWdWN2VKBNsDjDRNeYrjypH6k+r28/Flu+S2EAKcP78xlE4467Ov2apfOzyb3ZXi3bO585QvSU3ys2x4pceDzRKp/O+coCznmf76DTzfnMbxbNs45Vm/bz/xV29lRUELPtulMHdyRbm3S4tJfERERqV5tI05fAQuj3/8QWAbsrNKmlMiddw/HP7TEkeT18NNJfblwTE8+z90HwKBOmWSlxWcz3E5ZKThgd0FpdMuUb9YcmVlkCs/n4f431vPA+cdw93/WsnD1doIhR1EgyL7iIHf/Zw0je7bmhlMGMbBT/O/GExERkdrvqpsHzAMO3FF2m3NuQyPFlZCy0pI4/qi2cb9u35wMurZO5b2vdh+0ED1abJxOWSls3FPEX9/ewPwvtpPm9/JVXiGhsMPjAcP44Ku9XPrIMn4xtT9njOgS9zirsy2/hFdX5vLZlnxSkjxM7J/D+H7tVURTRERapJg2+U1kDbnJb2PasKuQU2e/TTjsouUJjKBz4KBzdgrtWyWTX1QGGCl+Dxt2FpXXkjogGAqT4veS0yqFhy4YSfe2DTt19+aaHdz52mpCYYff5yEcdgTDjpxWKdw9fTgdMlMOfREREakTbfLbtGJeHG5mvYHpQHcid9JV5JxzF8czsCNNr3bpTB6Qwwcb9lAcCBF2jsxkH+0zkyNlD8KO0qDD54VgCEqDYXzeyqNTXo9RXBYiFA7z4mdb+fHEPg0W78bdhdzx6mpS/R6SfZVHl3YVlHLj8yt56IJja91wWEREpLmJKXEyszOAp4jUfdpBZG1TRc172CpB/GBMD1Zv20+Ptmnld+9BpMhmXlGAsX3a8uF/91ISiGzFUm1KYkZKkpfV0bVYDWXe8q2EnTsoaQLISvWxaXcRq7buY0gXlVAQEZGWI9bKh78hsl9dJ+dcZ+dcryqP3g0X4pFjdK82TDu6C/nFAfKKApQFI1uv7CkM0LNtOtdM7U+HVskEQtXnqcGwIyvFRzDsyEyNz8L1mny4YQ9p/urXMZkZwVCYLxo4eRMREWlssSZOvYG7nHNV76qTODIzLj/xKO44ayjHdG+N3+ehc3YqV0zuy+zzjiYr1c9FJ/TC44kURQhXyJ9CYYdh5LRKJhR2nDykY4PG6vFY7cOMxkEL3UVERJq7WNc4rQbifzuZHMTMOLZHG47t0aba8ycOyGFfSYA7Xl3N7oLS8nIFXo/RvU0axYEwfXMyGNO7YT+u8f3a8/jSTaRWc/eccw6fxxh+iCKgIiIizU2sidO1wL1m9oFzrsXuS9dcnD6iCxMH5HDv/LXM/3w7WGQLmDAwoV97rpjSt1ItqIZw2rBOPPfJFgpLg6Qnf/PPyLlIRfXhXbPpk5MBREoWvLYyl89z95Hm9zJpQAfG9G6L36c98kREpHmJqRyBmb0NHEVk1GkdsKdKE+ecmxD/8A6tpZQjOFylwRCrc/cTCIXp2S6ddhk1bSkYfyu25HPTvJUUl0UWq4ddZAqvf4dW3H7mELJSk3jp06383xvrCTtHktdD2DnCYUfHrFT+cPYwclSyQESkTlSOoGnFmjgt5hB3zjnnJsYppjo50hOnplZcFuKtdTtZtXUfqUkeTujTjqFdsjAzPtm0l+ue+YxWKb6DRsD2FpXRrXUaD10wMrpmS0REYqHEqWnFNFXnnDuxgeOQZirV72Xq4I5MHXzwYvTHPtiE12PVThu2TvOzeU8Rn27J4+jurRsjVBERkXrTIhNpEMFQmOWb82iVUnNuHnaODzZUnfUVERFJXDEnTmbWxcz+aGbLzGyDmQ2JHv+5mR3XcCFKcxSO7BZTfZHOqEi9J9VOFRGR5iOmxMnMBgMrgAuArUS2XfFHT/cArmiQ6KTZ8vs89GybRmFZqMY2hjG0qyqLi4hI8xHriNPdwBdAL+AsKg8kLAHGxDkuaQHOG92dkui+e1UVlAbJSPExpnf19apEREQSUax1nMYB5znnCsysasXD7UDDlqlOYM45Vm3dx8uf5bIlr4iOmSmcMrQTI7plH/Eb3E4akMOnm/N4deU2fF4j3e8l5BwFpSFSk7z85swh1e51JyIikqhiTZzCtZxrBxTHIZZmxznHfQvW8crKXACSfR7WbtvPm2t3MqFfe647eQC+Bi5EmcjMjCtP6sfYPu14+qPNrN9RSLLPy7kjO3P68M6q4SQiIs1OrInTUmAW8GI156YD78YtombktZXbeOmzXNqkJ5XXIkpPjtwt9saaHfTJyeDcUd2bOMqmZWaM6d22wbeAERERaQyxDofcDpxmZv8hskDcAVPM7J/ANOB/Gyi+hOWc47Glm0hL9hxUwNFjRkayj6eWbSEYqm2wTkRERJqTmBIn59ybwJlEFof/ncji8DuBbwFnOuc+aLAIE1RRWYht+SXVbnILkJLkpaA0yO7CskaOTERERBpKrFN1OOdeBl42sz5ADrDbObemwSJLcN7oKFNNtYqcc+X7s8Vib2EZm/cWkeT10Dcn44heGyUiIpKoYk6cDnDOrQfWN0AszUpKkpdje7Rm+eY8stOSDjpfUBriqPYZtEn3V/Pqb+QXBfjTonW8vW4XXk+kcGR6so8fHt+D04Z3PuLvzBMREUkkNSZOZnZhXS7knHukPoGY2TnALcBAYLRzLuF37r3g+B4s35xHcVmIVP83U3algRBloTAXj+tV6+uLyoJc+eRyNu8pIjstqXwUqyQQYvai9ewvDXL+cT0atA8iIiISu9pGnOZUeX6giqFVcwygXokTsJJIcc2/1PM6jWZw5yxuPm0Qv399DXlFAUJhh8djJHs9XH/yAEb2rL2442srt7F5TxFtMyqPSqUkefF5jLnvbeSUIZ1ofYhRKxEREWkctSVOFYdLugKPAS8DjxMpetkBOA/4TvRrvTjnvgCa3dTU8Ue144lL2/DRxr3sLCilTZqfkT1bk1LDovGKXli+tdJIVUU+r4dQOMiSL3dz6rBO8Q5bREREDkONiZNzbuOB783sPuBx59x1FZqsAd4ys98B1xIpS9AozOxS4FKA7t0br05SSSDES59t5dmPv2ZXQSmt0/ycPqIzZ4zowvFH1b1O0Z7CMvy+mhNF5xy7C0rrE7KIiIjEUay3bk0G5tdwbn70/CGZ2QIzW1nN44wY4wDAOfeQc26kc25k+/bt6/LSw1ZcFuLqJz/lwTe/orA0SHZaEqXBEP9497/87N+fkF8cqPM1czKTKQ3WXOfJ4zE6ZKm6toiISKKINXEqBUbWcG4UEFOxIufcFOfckGoe82KMo8k8/uEm1mzbT9v0JFL9XjxmpCR5aZfhZ9OeIv7+zoY6X/N7x3SlOBDGVbMJblkwjM/r4YQ+7eIRvoiIiMRBrInTk8AtZnaNmfU0s9To12uBm4EnGi7EphcMhXn+k6/JTPVVuwYrO9XH/M+3U1wWqtN1Jw3MYXDnTHYXBghEK4w75ygsDbK/JMiPTzyKjOQ6V4wQERGRBhJr4nQ18BRwB/AlUBD9+lsiSdXV9Q3EzKaZ2RbgeCKFNl+v7zXjpaA0SEkgjN9X/Y/L5/XgcOwurNt6pGSflzvPGsY5x3alLOjILw6QVxSgfasUbjl9EKcO6xyP8EVERCROYhrOcM4VAxeY2e3AcUAnIBf4wDm3Nh6BOOeeA56Lx7Xi7cAdcqGwK6+1VJFzjlDYke6PfXSoJBBi6YY97C0qY2CnTKaP7Mb+kiB+n4cOmcnN7u5CERGRI0Gd5oGiSVJcEqXmJCXJy7f6tuOttTtpk3FwTaX84iDDumbHXG/p1RW5PLD4S8qCYULO4TXw+7xcPqE3p2iUSUREJGHFlDiZ2SHv+XfObap/OInrh2N78uF/95BXFCArutbJOcf+kiBeMy4d3zum6yxavYO756+lVYqP9ORvtmopC4b544J1JCd5mTywQ0zX+jqvmNW5+wDo37EVXVun1b1jIiIiErNYR5z+S+Uq4dU5dMXHZqxbmzTunXE0f5y/hrXbCvB6jJBz9Gybxs+n9KNfh1aHvEY47PjLm1+S7veSXGW9lN/nIT3Zy0NvfcWJ/XOqnRI8YG9hGb97bTUfb9qLxwyHwzkY0a01153cn7YZyfXur4iIiBws1sTpIg5OnNoCpwK9gdvjGVSi6tUunT+ddwxb9haxq6CMNml+urVJjXk90tod+8kvDlS7KTBAapKXvKIAa7fvZ2CnzGrbFJRG9rfbmldMdloSnuh7O+f4dPNefv7Ech44/xhapVT/HiIiInL4Yl0cPqeGU380s7lEkqcjRtfWaYc1LVZYGipPdGriscjmvzV5fWUuX+8tPmh/OzOjdbqfbfklvLpyG9NHdqtzfCIiIlK7WMsR1OZRIiNScggds1IIhl21BS8hMmoUDDs6ZNZcLfz5T7aSVsP+dgDpyV6e+/jrescqIiIiB4tH4pQDaF+QGHTJTmVw50zyi6sfUcovDjKwU2ato1m7CkoPWh9Vkd/nqXM9KREREYlNrHfVja/msB8YAlwPvB3PoFqyK6f042ePf8LugjKy05Iii8zDjryiAOnJPq46qV+tr89MjeyRl+KpftQpEAqTqfVNIiIiDSLWxeGLOXhx+IHFOm8Cl8croJaue9s07j//GOa8u4G31+3CiPxgT+zfnh+O7XnItVOnDe/EP5dsLC/KWVVhSYjvH9cl/oGLiIhIzInTJA5OnEqAjc65bfENqeXrkp3Kr04dVL4nXaSmU2wfxalDOzNv+dZK9aQgsj5qX3GQVqlJnDZcRTRFREQaQqx31S1u4DiOSOnJsSdMB7RO93PPuSO4ed4qtuwtJhiObA7s8xidslO57fQhquMkIiLSQGJd4xQCjnfOLa3m3LHAUudciy6AmUi6tk7j4R+OZOXX+1i1NR+AgZ0yGdY1S3vciYiINKBYhztq+2vs5dBVxSXOzIyhXbMY2jWrqUMRERE5YtSaOJmZh2+SJk/0eUWpwHeAXQ0Qm4iIiEhCqTFxMrObgV9Hnzrg3Vqu80A8gxIRERFJRLWNOC2OfjUiCdTfgC1V2pQCnwMvxT0yERERkQRTY+LknHuTSI0mzMwBf3XObW2swEREREQSTazlCG6t+NzMsoC+wDbnXNVRKBEREZEWqcZNz8xsqpndWc3xXwE7gA+AjWb2mJnVrRiRiIiISDNUW8JzGVXKDJjZScDtwArgYWAg8D/AR8DdDRSjiIiISEKoLXE6mkiSVNEsIlutTD2w1Uq04OL3UeIkIiIiLVyNU3VADvBllWMnAe9U2Z/uZaBfvAMTERERSTS1JU77gfQDT8ysL9AWeL9Ku31EqoeLiIiItGi1JU6rgTMqPD+DyJqn/1Rp1wvYHue4RERERBJObWuc7gGeNbM2RBKjmUQWhVetID4N+LRBohMRERFJIDWOODnnngd+DowCLiQyRXeOc678Tjsz6wpMBF5p4DhFREREmlyt9Zecc7OB2bWc3wJkxzsoERERkURU2xonEREREalAiZOIiIhIjJQ4iYiIiMRIiZOIiIhIjJQ4iYiIiMRIiZOIiIhIjJQ4iYiIiMRIiZOIiIhIjJQ4iYiIiMRIiZOIiIhIjJQ4iYiIiMRIiZOIiIhIjJQ4iYiIiMRIiZOIiIhIjBImcTKzP5jZajP7zMyeM7Pspo5JREREpKKESZyA+cAQ59wwYC1wfRPHIyIiIlJJwiROzrn/OOeC0afvA12bMh4RERGRqhImcariIuDVmk6a2aVmtszMlu3cubMRwxIREZEjWaMmTma2wMxWVvM4o0KbXwFB4F81Xcc595BzbqRzbmT79u0bI/QWa+bMmUyZMqX8+S233EKfPn2aMCIREZHEZc65po6hnJn9ELgMmOycK4rlNSNHjnTLli1r2MDqaebMmWzZsoUFCxYcdM7MmDt3Lj/4wQ+aIDLIz88nHA7TunVrAAoKCigpKaFdu3ZNEo+IiNTOzD5yzo1s6jiOVL6mDuAAMzsZuA6YEGvSJPWXlZVV6XlGRgYZGRlNFI2IiEhiS6Q1Tv8HtALmm9lyM3uwqQNqbPfddx8jRowgIyODjh07MmPGDHJzc8vPjxs3jhtvvLH8+c0334yZVRrJmjBhAtdeey0AGzZs4KyzzqJz586kpaUxdOhQ5s6dW+k9NVUnIiISu4RJnJxzfZxz3ZxzI6KPy5o6pqZw1113sWLFCp577jk2bdrEjBkzys9NmjSJhQsXlj9ftGgR7du3Lz9WXFzM+++/z6RJk4DItNvkyZN57bXXWLFiBZdeeimzZs3ijTfeaNxOiYiItBAJM1XX0i1evPiQU2BXXHFF+fe9evXi/vvv55hjjuHrr7+mS5cuTJo0id/+9rfs27cPn8/H0qVL+e1vf8sTTzwBwDvvvINzjm9961sADB06lKFDh5Zf86c//SkLFizgscceY+LEiQ3QSxERkZZNiVMjOe644/jnP/950PG+ffuWf7948WLuuOMOPv/8c/Ly8giHwwBs3LiRLl26cPzxx+P3+3nrrbdISkqiR48eXHjhhfzyl78kPz+fRYsWMXr0aNLT0wEoKiritttu48UXXyQ3N5eysjJKS0uVNImIiBwmJU6NJDU1tda1Q5s2beKUU07hggsu4Ne//jXt2rVjy5YtTJkyhbKyMgCSk5MZO3YsCxcuxO/3M2nSJNq3b8+AAQNYvHgxixYtYurUqeXXvOaaa5g3bx533303AwYMID09nauvvpr8/PwG76+IiEhLlDBrnI50H374IcXFxdx7772ccMIJ9O/fn+3btx/UbtKkSSxatIhFixYxefLk8mPPPfccH330Ufn6JoC33nqL888/n3PPPZfhw4fTu3dv1q5dW+fY5syZg8+nHFtERESJUz3NnDkTM+PKK6886JyZ8eijj8Z0nb59+2Jm3H333WzYsIHnn3+e22677aB2kyZNYsWKFSxfvrx8ym3SpEk8+uijOOe4/vrrCYVCAPTv35958+bxyCOPkJSUxOTJk9m6dWs9eisiInJkU+IUB6mpqdx///2HNZpzwLBhw/jTn/7EX/7yFwYNGsRdd93Fvffee1C7UaNG0apVKwYNGlRepHLChAkAjB07lvXr13PHHXcAcM8999C1a1dmzpyJz+dj/PjxnH322XWK68A0oYiIiChxiouxY8dy7LHHcs0111R7fs6cOSxYsICCggKuuOIKunTpQmpaGkOHjeCpp54urxr+3nvvMWHCBIqLi3nnnXfKazitX7++/FoXXXQRU6dO5dNPPy0/lp2dTTAY5O233+bhhx/mtttuY9myZXTr1o1BgwbRs2dPtm/fzmWXXUZhYSHLly8nNTWVE088kZ/85CfldaAWL17Mrbfeyn333ce4ceNISUnhoYceOqg/JSUlnHXWWQwePJgtW7bE7ecoIiKS6JQ4xck999zDiy++WGONJOcc3zn1u7z21gf0nP4rRl31d8IDpjB9xgxueuDflARC5euXDqhapwngjTfeqLSOqaozzjiDmTNn8oMf/IAXXniBP//5z8ydO5dWrVpx5plnsnr1al566SWWLl1Khw4dOOmkk9i1a1ela1x99dVce+21fPHFF5x55pmVzu3du5eTTjqJnTt38s4779C1a9fD+XGJiIg0S0qc4mTMmDGce+65XHXVVeVlBCqa9+p8lix5j85n30SHvsPp3L0HQ6d8j26jvs2DD9zPNU9/ygnfOpHc3Fw+//xzIJIkXXfddeXJ1Lp169i8eXOtiRNEkrhwOMy0adO44YYbOOGEE1i0aBFLly7lscceY9y4cQwdOpRHHnmElJQUHnjggUqv/9WvfsXpp59Or169KiVGmzdvZty4cbRr14758+eX728nIiJypNCtUnF05513MmDAAObMmcNFF11U6dxd/3qFcCjAO7efU+l4OBggI6crq3P388p/M+jVqxeLFi3C6/WSl5fHj370I2677TZWrlzJu+++S5cuXejXr1+tcaSnp3PNNddw+eWXc9NNNwGwatUq2rZty6BBg8rbJScnc9xxx7Fq1apKrx89evRB1wyHwxx//PGccMIJPPbYY3i93jr9bERERFoCJU5x1KNHD6688kpuvPFGpk+fXn58/Y4CtueXkJSawUnX/+2g13l8PpLTknh91TbGTTiRhQsX4vV6GTduHKmpqYwfP56FCxeyZMmSQ442HZCUlARQqYyAmR3Uzjl30PEDBTQrxejx8N3vfpdnn32Wzz//vFJFchERkSOFpuri7PrrryccDvO73/2u/Niy/+6hVdd+BIr2EwqU0iqna6VHepuO+DyR5KXX0ON48803WbBgQaU6TQsXLmTx4sUxJ05VDR48mF27dpVPAwKUlpaydOlSBg8eHNM1HnzwQWbMmMHEiRP55JNPDisOERGR5kyJU5y1atWK22+/nbvvvrv8WGFZiDZ9j6bDwFG8++ANbPnkTQp2fs2ejatZu+gpvnx7HgAOGHzsWPbu3csLL7xQniRNmjSJV199lR07dhx24jRp0iRGjx7N97//fd59911WrlzJhRdeSElJCZdffnnM15k9ezY//OEPmTx5MsuWLTusWERERJorJU4N4OKLL660B13HzGQ85mHcj35P16MnsPyp2bx683m8/X+/IHfFEjLadwHAgL69ujJo0CBatWrF0UcfDURqPGVnZ3PUUUfRvXv3w4rJzHj++ecZMGAAp556KqNGjWLbtm3Mnz+/vB5UrO6++24uu+wypkyZwvvvv39Y8YiIiDRH5pxr6hjqZeTIkS5RRj6KyoK8vXYna7bvx+fxcEyP1ozs0ZrCshDn/uU9MlJ85VNyVRUHQvi9Hh6/9Hi8NbSR2i1evJiJEyeyefPmuJRJ6NmzJ5dccgk33nhjva91yy238Oijj1aqyRUPc+bM4ZJLLiEYDMb1uiKSuMzsI+fcyKaO40ilxClOXl+1jdkL1xEMORwO58BjkJ3m59YzBvPOul08vnQzbdKT8FRJjAKhMPuKg1wztT/fHtyxiXqQmGbOnMk///lPzjrrLJ555plK555//nmmTZuG1+slGAxSVlbGnj17yMnJweOp/2Dqzp07SUtLq3axfF0VFBRQUlJS59G9QykuLmbfvn106NAhrtcVkcSlxKlp6a66OFj0xXbuen0NGSk+WqVU/oNdUBLkF099yn0zjqagNMgrKyLVwFOTvDgcJYEwhvH/xvdW0lSD7t278+KLL7J9+/ZKCcJDDz1Ejx49yquX+/1+OnaM38+wffv2cbtWRkYGGRkZcbveAampqaSmpsb9uiIiUj2tcaqnYCjM/Yu/JD3ZS7Lv4B9nRoqPQNAx972N/HxKPx44/1i+M6QTHTJT6JyVxrmjujPnolFMH9mtCaJvHvr27cuYMWOYM2dO+bFNmzYxf/58Zs2aVX5s8eLFmFl5IhUIBLjqqqvo2rUrycnJdOrUiRkzZpS3X7VqFVOnTiU7O5v09HQGDhzI3Llzy8/37NlaJ9qgAAARU0lEQVST3/zmN+XP582bx9FHH01aWhrZ2dmMHj26/O7CQ73XLbfcQp8+fQ56/thjj9G7d29SUlKYMmUKGzZsqFObOXPmVCo5ISIiDUu/cevpk815FJQGaJ3mr7FNVqqP977aTV5RGX1yMrjypNoLWMrBLr30Um699VauvfZazIyHH36YyZMn06NHjxpf86c//Yknn3ySRx99lN69e7N9+3befffd8vPnnXceQ4YMYcmSJaSkpLBmzRpCoVC119q2bRvnnHMOv/nNbzjnnHMoKSnhk08+KU9aDvVe1cnNzeWBBx7giSeeAOAnP/kJZ555JsuXLy+vrRVLGxERaTxKnOpp+74SqtlhpRKPx/CasauglOxaEiyp2dlnn80VV1zB4sWLGT9+PH//+9+ZPXs2+/btq/E1GzdupF+/fkyYMAEzo3v37owaNarS+auuuqq8mnrv3r1rvFZubi6BQIDp06fTs2dPAAYOHBjze1WnqKiIOXPmlI9EzZ07l/79+7Nw4UKmTJkScxsREWk8mqqrJ7/Xw6FugnPOEXYOv7YpOWwpKSlccMEF/PWvf+Xll18mGAxy2mmn1fqaWbNmsWLFCvr06cNll13GM888Q1lZWfn5X/ziF1xyySWceOKJ3HLLLXz88cc1XmvYsGFMnTqVIUOGMG3aNO677z42b94c83tVp3379pWm7/r160e7du0qFSmNpY2IiDQeJU71dHT31jggHK757sSSQJg26X66ttYi3vr4n//5H5599ll+//vfM2vWrPJtZWoyYsQINmzYwF133YXf7+eKK65gxIgR5aNUN910E2vXrmX69OmsXLmSMWPG1Fh6wOv18uqrr7Jo0SJGjRrFM888Q79+/XjppZdieq9YxXKXa3O/E1ZEpDlT4lRP7VslM65PO/KKAtX+QQs7R2FZiO+P7n5QGQKpm4EDBzJq1CiWLFnCJZdcEtNrMjIymDZtGrNnz2bZsmV88cUXvPnmm+Xne/fuzY9+9COefvppbrvtNv785z/XeC0zY/To0dxwww289dZbTJgwgX/84x8xv1dVO3fu5Msvvyx/vnbtWnbv3l1pCjCWNiIi0ni0xikOrvp2f7bml7B+RwHpfi+pfi/OOQpKg5QFHVMHdeDUYZ2aOswW4fXXX6ekpIQ2bdocsu0f/vAHOnfuzIgRI0hLS+Pf//43Xq+Xfv36UVBQwHXXXcf3vvc9evXqRV5eHq+99lr5eqeqlixZwsKFC/n2t79Np06dWLduHZ999hkXX3zxId+rJmlpacyaNYt77rkH5xw//elPGTp0aKW1S7G0ERGRxqPEKQ4ykn3cM30Er63M5cmPtrBrfykAfTtkMGNUd77Vt53ugIqTtLQ00tLSYmqbmZnJH//4R9atW0c4HGbgwIE888wz9O/fn5KSEvbu3cvFF19Mbm4umZmZTJw4kbvuuqvaa2VlZfHee+9x//33s3fvXjp27Mj555/PTTfddMj3qkmnTp249NJL+d73vkdubi4nnHACjz76aKV/K7G0ERGRxqPK4XHmXKSopccDyT4tBpfqxbIFS0Nt0yIizZsqhzctjTjFmZmR6lfC1BhCYcf6HQXkFwcAyEpNom9OhtaSiYhIg1HiJM1OflGA+V9s46llW8gvDnBg1sq5SPJ0zsiunDSwI1lptd91JyIiUleaqpNm5bMtedz0/EqKAyFS/V5SkyqP7hUHQhSXhUhN8nL7mUMY1jW7iSIVEWkYmqprWipHIM3GZ1vyuO7pz3A42qT7D0qaILJ5cpt0P2HnuO7pz1ixJb8JIhURkZZKiZM0C/nFAW56fiVJPiPNf+gZ5vRkHz6vcdO8lewrCTRChCIiciRQ4iTNwqIvtlMcCMWUNB2QnuyjqCzIoi92NGBkIiJyJFHiJAkvHHY8+dGWaqfmDiU1ycuTyzbXuiWOiIhIrJQ4ScL7alcBewvLDqvMQ6rfy57CMr7aVdgAkYmIyJFGiZMkvPziIJ56VMr2GFrnJCIicaHESVo8B6gkpoiIxIMSJ0l42WlJhJ3jcGqOOefKC2OKiIjUlxInSXi926XTLiOZ4kCozq8tDoRo3yqZXu3SGyAyERE50ihxkoRnZswY1Y2SQLjOry0JhDl3ZDesHmukREREDlDiJM3CiQNyyEj2UVAajPk1BaVBMpJ9nDggpwEjExGRI0nCJE5mdruZfWZmy83sP2bWualjksSRkezjf6cNxTliSp4KSoI4B789aygZydrLWkRE4iNhEifgD865Yc65EcBLwK+bOiBJLAM7ZXL39OH4vR72FgYoLA1WWjDunKOwNMjewgB+n4c/Th/BgI6ZTRixiIi0NAnzv+LOuX0VnqYTuYtcpJIBHTN59JLjeHPNTp74cDO5+0rwRtcvhZyjU1YKM0Z1Y3y/9nXankVERCQWCfWXxcz+F7gQyAcmNnE4kqDS/D6+M7QTJw/pyOY9xeQXR4pbZqUm0a1NqhaCi4hIg7HDqY1z2G9mtgDoWM2pXznn5lVodz2Q4py7uYbrXApcCtC9e/djN27c2BDhioiIJBwz+8g5N7Kp4zhSNWriFCsz6wG87Jwbcqi2I0eOdMuWLWuEqERERJqeEqemlTCLw82sb4WnpwOrmyoWERERkeok0hqnO82sPxAGNgKXNXE8IiIiIpUkTOLknPteU8cgIiIiUpuEmaoTERERSXQJuTi8LsxsJ5GpvZq0A3Y1UjhNoaX3D1p+H9W/5q2l9w9afh+bW/96OOfaN3UQR6pmnzgdipkta8l3H7T0/kHL76P617y19P5By+9jS++fxJem6kRERERipMRJREREJEZHQuL0UFMH0MBaev+g5fdR/WveWnr/oOX3saX3T+Koxa9xEhEREYmXI2HESURERCQuWkziZGYnm9kaM1tvZr+s5ryZ2ezo+c/M7JimiPNwxdC/AWb2npmVmtkvmiLG+oihf+dHP7fPzGyJmQ1vijgPVwz9OyPat+VmtszMxjVFnPVxqD5WaDfKzEJmdnZjxldfMXyGJ5pZfvQzXG5mv26KOA9XLJ9ftI/LzWyVmb3Z2DHWVwyf4TUVPr+V0X+nbZoiVklgzrlm/wC8wJdAb8APfAoMqtLmFOBVwIAxwAdNHXec+5cDjAL+F/hFU8fcAP0bC7SOfv+dFvj5ZfDN1PkwYHVTxx3vPlZotwh4BTi7qeOO82d4IvBSU8fagP3LBj4Hukef5zR13PHuY5X2pwGLmjpuPRLv0VJGnEYD651zXznnyoDHgTOqtDkDeMRFvA9km1mnxg70MB2yf865Hc65D4FAUwRYT7H0b4lzbm/06ftA10aOsT5i6V+Bc+7AgsN0oLktPozlv0GAnwLPADsaM7g4iLV/zVUs/fs+8KxzbhNEfuc0coz1VdfP8Dzg340SmTQrLSVx6gJsrvB8S/RYXdskquYceyzq2r+LiYweNhcx9c/MppnZauBl4KJGii1eDtlHM+sCTAMebMS44iXWf6PHm9mnZvaqmQ1unNDiIpb+9QNam9liM/vIzC5stOjiI+bfM2aWBpxMJMkXqSRhNvmtJ6vmWNX/Y4+lTaJqzrHHIub+mdlEIolTc1oDFFP/nHPPAc+Z2XjgdmBKQwcWR7H08V7gOudcyKy65gktlv59TGQrjAIzOwV4Hujb4JHFRyz98wHHApOBVOA9M3vfObe2oYOLk7r8Hj0NeNc5t6cB45FmqqUkTluAbhWedwW2HkabRNWcY49FTP0zs2HAw8B3nHO7Gym2eKjT5+ece8vMjjKzds655rJ/Vix9HAk8Hk2a2gGnmFnQOfd844RYL4fsn3NuX4XvXzGzB5rRZxjr79BdzrlCoNDM3gKGA80lcarLf4cz0DSd1KClTNV9CPQ1s15m5ifyj/6FKm1eAC6M3l03Bsh3zuU2dqCHKZb+NWeH7J+ZdQeeBS5oRv+He0As/etj0YwiesenH2hOyeEh++ic6+Wc6+mc6wk8DfyomSRNENtn2LHCZziayO/X5vIZxvI7Zh7wLTPzRaeyjgO+aOQ46yOm36NmlgVMINJfkYO0iBEn51zQzH4CvE7kzom/O+dWmdll0fMPErmL5xRgPVAEzGqqeOsqlv6ZWUdgGZAJhM3s50TuGNlX44UTRIyf36+BtsAD0b9NQddMNuWMsX/fI5LYB4Bi4NwKi8UTXox9bLZi7N/ZwOVmFiTyGc5oLp9hLP1zzn1hZq8BnwFh4GHn3Mqmi7pu6vBvdBrwn+jImshBVDlcREREJEYtZapOREREpMEpcRIRERGJkRInERERkRgpcRIRERGJkRInERERkRgpcRJJAGY208ycmfWp5pwveu6WQ1yjZ7TdJQ0WqIjIEU6Jk4iIiEiMlDiJSKMzs+SmjkFE5HAocRI5wpjZBDNbaGb7zazQzF43syEVzj9gZtvNzFfldclmttfM7q1wrJ2Z/dnMvjazUjNbbWaXVnndgWnI8Wb2lJnlAR9Ez40ys6fNbIuZFZvZGjP7rZmlVrmG18x+Y2a5ZlZkZovMbEB1U5hmNtzMXojGWmxm75rZt+L3ExSRI5kSJ5HE4o2uaSp/ENkeIi7M7FRgIVAA/AD4PtAKeNvMDmyA+giQA3y7ysu/C2QDc6PXygTeBU4Fbol+fRH4s5n9tJq3/xewgcjWJL+MHusOLAcuA04G7gMuAv5R5bW3AjdEYzuDyLYZ1e0zdgywBGgD/D8iW9nsBhaY2bE1/VxERGLVIvaqE2lBVjfw9e8D3nTOnXHggJm9AXwFXA383Dn3vpmtAy4gssfjARcAXzjnPoo+vwLoAQx1zq2LHltgZtnAzWb2Z+dcsMLrn3bOXVsxGOfcMxXiMCKJ2D7gETP7sXNut5m1Bn4OPOicuy7afH50X7+7q/TvD8AmYJJzrix63deBlcBNwJkx/pxERKqlESeRxDINGFXlMSYeFzazvsBRwL+qjGgVAe8B4ys0fxQ4w8xaRV/bBvgOkRGfA04mMuW2ocr1XieyIfOgKiE8V01MmWb2OzP7EigFAkRGtAzoG202FEgHnqry8qerXCuVyK72TxHZ6PpAPAYsqNI/EZHDohEnkcSy0jm3vuKBqmuN6iEn+vVv0UdVmyp8P5fI9NvZRKbNZgBJRKbbKl6vD5FkpzptqzzPrabNP4ApwK+JTNkVAqOB+4GUaJtO0a87qrx2e5XnbYhMa94UfRzEzDzOuXAN8YqIHJISJ5Ejx+7o1+uJjMBUVXbgG+fcBjN7l8g6qH9Evy52zm2ucr0dRKbsqrOmynNX8YmZpRBZr3SLc+6+CseHVnndgYQrB1hV4XiHKu3ygDCRpOsRqqGkSUTqS4mTyJFjDfBfYLBz7s4Y2s8lstD7ROB4YFaV868BPwU2OeeqjgbFIpnICFHVEauZVZ6vIDISdQ7wRoXj51Rs5JwrNLO3geHAx0qSRKQhKHESaXmOjd7yX9ULwI+BeWbmB54EdhEZuRlLJAH6Y4X2TwKziax3KgaeqXw57gHOJXJH3j1EErN0YADwrYoL0KvjnMs3s/eBq80sNxrLRUCXKu0OlEC4wcz2ExktOwa4ONqkYoJ0FfAW8LqZ/Y3IaFW7aHuvc+6XiIjUgxInkZbnsuijqvbOuVfMbDzwK+BhIBXYBrwPPFGxsXMuz8xeJLLO6d/Ouf1Vzueb2Vgi65OuI5Lw5BFJoKomWTU5D/gzkem1YiLJ2hXAS1Xa3UxkkffFwM+ILEqfSeQuvPwKMX1sZqOi7WcDWcBO4GPgwRhjEhGpkTnnDt1KRCTBmNk5RBKt8c65t5s6HhE5MihxEpGEZ2bHESmw+QFQAhxLpIjmGmCs0y8yEWkkmqoTkeaggEgdph8DmUTu5nsSuF5Jk4g0Jo04iYiIiMRIlcNFREREYqTESURERCRGSpxEREREYqTESURERCRGSpxEREREYqTESURERCRG/x/pxjx+1o1G3wAAAABJRU5ErkJggg==\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:                Fri, 24 Apr 2020                                         \n",
      "Time:                        14:17:04                                         \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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\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": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
