{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# M-Estimators for Robust Linear Modeling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "from statsmodels.compat import lmap\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* An M-estimator minimizes the function \n",
    "\n",
    "$$Q(e_i, \\rho) = \\sum_i~\\rho \\left (\\frac{e_i}{s}\\right )$$\n",
    "\n",
    "where $\\rho$ is a symmetric function of the residuals \n",
    "\n",
    "* The effect of $\\rho$ is to reduce the influence of outliers\n",
    "* $s$ is an estimate of scale. \n",
    "* The robust estimates $\\hat{\\beta}$ are computed by the iteratively re-weighted least squares algorithm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* We have several choices available for the weighting functions to be used"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "norms = sm.robust.norms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "def plot_weights(support, weights_func, xlabels, xticks):\n",
    "    fig = plt.figure(figsize=(12, 8))\n",
    "    ax = fig.add_subplot(111)\n",
    "    ax.plot(support, weights_func(support))\n",
    "    ax.set_xticks(xticks)\n",
    "    ax.set_xticklabels(xlabels, fontsize=16)\n",
    "    ax.set_ylim(-0.1, 1.1)\n",
    "    return ax"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Andrew's Wave"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function weights in module statsmodels.robust.norms:\n",
      "\n",
      "weights(self, z)\n",
      "    Andrew's wave weighting function for the IRLS algorithm\n",
      "\n",
      "    The psi function scaled by z\n",
      "\n",
      "    Parameters\n",
      "    ----------\n",
      "    z : array_like\n",
      "        1d array\n",
      "\n",
      "    Returns\n",
      "    -------\n",
      "    weights : ndarray\n",
      "        weights(z) = sin(z/a) / (z/a)     for \\|z\\| <= a*pi\n",
      "\n",
      "        weights(z) = 0                    for \\|z\\| > a*pi\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(norms.AndrewWave.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "<>:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "/tmp/ipykernel_nnnnnnn/3509132601.py:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "  support, andrew.weights, [\"$-\\pi*a$\", \"0\", \"$\\pi*a$\"], [-np.pi * a, 0, np.pi * a]\n",
      "/tmp/ipykernel_nnnnnnn/3509132601.py:5: SyntaxWarning: invalid escape sequence '\\p'\n",
      "  support, andrew.weights, [\"$-\\pi*a$\", \"0\", \"$\\pi*a$\"], [-np.pi * a, 0, np.pi * a]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 1.339\n",
    "support = np.linspace(-np.pi * a, np.pi * a, 100)\n",
    "andrew = norms.AndrewWave(a=a)\n",
    "plot_weights(\n",
    "    support, andrew.weights, [\"$-\\pi*a$\", \"0\", \"$\\pi*a$\"], [-np.pi * a, 0, np.pi * a]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hampel's 17A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function weights in module statsmodels.robust.norms:\n",
      "\n",
      "weights(self, z)\n",
      "    Hampel weighting function for the IRLS algorithm\n",
      "\n",
      "    The psi function scaled by z\n",
      "\n",
      "    Parameters\n",
      "    ----------\n",
      "    z : array_like\n",
      "        1d array\n",
      "\n",
      "    Returns\n",
      "    -------\n",
      "    weights : ndarray\n",
      "        weights(z) = 1                                for \\|z\\| <= a\n",
      "\n",
      "        weights(z) = a/\\|z\\|                          for a < \\|z\\| <= b\n",
      "\n",
      "        weights(z) = a*(c - \\|z\\|)/(\\|z\\|*(c-b))      for b < \\|z\\| <= c\n",
      "\n",
      "        weights(z) = 0                                for \\|z\\| > c\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(norms.Hampel.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = 8\n",
    "support = np.linspace(-3 * c, 3 * c, 1000)\n",
    "hampel = norms.Hampel(a=2.0, b=4.0, c=c)\n",
    "plot_weights(support, hampel.weights, [\"3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Huber's t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function weights in module statsmodels.robust.norms:\n",
      "\n",
      "weights(self, z)\n",
      "    Huber's t weighting function for the IRLS algorithm\n",
      "\n",
      "    The psi function scaled by z\n",
      "\n",
      "    Parameters\n",
      "    ----------\n",
      "    z : array_like\n",
      "        1d array\n",
      "\n",
      "    Returns\n",
      "    -------\n",
      "    weights : ndarray\n",
      "        weights(z) = 1          for \\|z\\| <= t\n",
      "\n",
      "        weights(z) = t/\\|z\\|      for \\|z\\| > t\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(norms.HuberT.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = 1.345\n",
    "support = np.linspace(-3 * t, 3 * t, 1000)\n",
    "huber = norms.HuberT(t=t)\n",
    "plot_weights(support, huber.weights, [\"-3*t\", \"0\", \"3*t\"], [-3 * t, 0, 3 * t])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Least Squares"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function weights in module statsmodels.robust.norms:\n",
      "\n",
      "weights(self, z)\n",
      "    The least squares estimator weighting function for the IRLS algorithm.\n",
      "\n",
      "    The psi function scaled by the input z\n",
      "\n",
      "    Parameters\n",
      "    ----------\n",
      "    z : array_like\n",
      "        1d array\n",
      "\n",
      "    Returns\n",
      "    -------\n",
      "    weights : ndarray\n",
      "        weights(z) = np.ones(z.shape)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(norms.LeastSquares.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "support = np.linspace(-3, 3, 1000)\n",
    "lst_sq = norms.LeastSquares()\n",
    "plot_weights(support, lst_sq.weights, [\"-3\", \"0\", \"3\"], [-3, 0, 3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ramsay's Ea"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function weights in module statsmodels.robust.norms:\n",
      "\n",
      "weights(self, z)\n",
      "    Ramsay's Ea weighting function for the IRLS algorithm\n",
      "\n",
      "    The psi function scaled by z\n",
      "\n",
      "    Parameters\n",
      "    ----------\n",
      "    z : array_like\n",
      "        1d array\n",
      "\n",
      "    Returns\n",
      "    -------\n",
      "    weights : ndarray\n",
      "        weights(z) = exp(-a*\\|z\\|)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(norms.RamsayE.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 0.3\n",
    "support = np.linspace(-3 * a, 3 * a, 1000)\n",
    "ramsay = norms.RamsayE(a=a)\n",
    "plot_weights(support, ramsay.weights, [\"-3*a\", \"0\", \"3*a\"], [-3 * a, 0, 3 * a])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trimmed Mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function weights in module statsmodels.robust.norms:\n",
      "\n",
      "weights(self, z)\n",
      "    Least trimmed mean weighting function for the IRLS algorithm\n",
      "\n",
      "    The psi function scaled by z\n",
      "\n",
      "    Parameters\n",
      "    ----------\n",
      "    z : array_like\n",
      "        1d array\n",
      "\n",
      "    Returns\n",
      "    -------\n",
      "    weights : ndarray\n",
      "        weights(z) = 1             for \\|z\\| <= c\n",
      "\n",
      "        weights(z) = 0             for \\|z\\| > c\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(norms.TrimmedMean.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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C1VQMkw5AEkI1AAARoRMGIAuhGiAnSlUj7ZlANeiOAUhGqAYAICI8tAPIQqgGyAlVI6CaTDkAyQjVAAAAkJFQDZAzBf2ZAADdhlANkBPav4FqKpp0ABIRqgEAiAgblQFkIVQD5ESpZuSeF6gGdWqAZIRqAAAiIqLgsR1AakI1QE6U1jdqzwSqwZJqgGSEagAAAMhIqAbIGYVqoFJ0wgCkJ1QD5IROTKCqTDoAiQjVAABEhE4YgCyEaoC8aKsaFfRnAlVQVKoGSESoBgAgIjy0A8hCqAbIGbe8AADdh1ANkBNaMYFqck41QDJCNQAAEaETBiALoRogJ4rljcq6dhzAwUGhGiAZoRoAgIjw0A4gC6EaICf2Vo3c9QKVV7SoGiARoRoAgIhwpBZAFkI1QM645wUA6D6EaoCc0IkJVJMpByAZoRoAAAAyEqoBcqLYVjfS/Q1Ug+4YgGSEagAAyuzbAJCOUA2QE6WqkRteoBqKVlUDJCJUAwAAQEZCNUDOFKyqBirIDAOQjlANkBMaMYGqMukAJCJUAwBQVrBxA0AqQjVAXrTtVOZ+F6gGhWqAZIRqAADKPLcDSEeoBsiJUtVIpRqohqJSNUAiQjUAAABkJFQDAFCmGwYgHaEaICdKrZjOqQaqoWirMoBEhGoAAMo8uANIR6gGyIni3lI1QMXZqAwgGaEaAIC9PLgDSEWoBsgZ97sAAN2HUA2QEzoxgWoy5wAkI1QDAFCmGwYgHaEaICfK+5Q5RBaogqKdygASEaoBACjz3A4gHaEaICdKNSP3u0A1KFQDJCNUAwBQVvDoDiAVoRogZ7RmAgB0H5lC9fz582PEiBHRp0+fqKuri2XLlr3r9du3b4/Zs2fHsGHDoqamJo4//vhYuHBhpgEDHKxsGgQA0P30SvuGJUuWxIwZM2L+/Plx+umnxw9+8IOYMGFCrFmzJo499thO33PBBRfESy+9FHfccUf8yZ/8SWzatCl27ty534MHAOC9pRsGIJ3UoXru3LkxefLkmDJlSkREzJs3L+67775YsGBBzJkzp8P19957bzz44IPx3HPPxZFHHhkREcOHD9+/UQMcxNzvAtWgOQYgmVTt362trbFy5cqor69v93p9fX08+uijnb7nF7/4RYwZMya+853vxJAhQ+KDH/xgXHHFFfHWW2/t8+ds3749Wlpa2n0BAFB5HtwBpJOqUr158+bYtWtX1NbWtnu9trY2Nm7c2Ol7nnvuuXj44YejT58+8bOf/Sw2b94c06ZNi1deeWWf66rnzJkT11xzTZqhARzwSlWjgt5MoAqKoVQNkESmjcreeUNXLBb3eZO3e/fuKBQKsXjx4jjllFPi3HPPjblz58aiRYv2Wa2eNWtWbN26tfy1fv36LMMEAACAikpVqR44cGD07NmzQ1V606ZNHarXJYMGDYohQ4ZEv379yq+NGjUqisVivPDCCzFy5MgO76mpqYmampo0QwM4aKhTA5WkGwYgnVSV6t69e0ddXV00Nja2e72xsTHGjRvX6XtOP/302LBhQ7z++uvl1/7v//4vevToEcccc0yGIQMcnLRiAtVkozKAZFK3f8+cOTNuv/32WLhwYTz77LNx+eWXR1NTU0ydOjUi9rRuT5o0qXz9hRdeGAMGDIgvf/nLsWbNmnjooYfia1/7Wvzt3/5tHHrooe/dbwIAwH5TpwZIJ/WRWhMnTowtW7bEtddeG83NzTF69OhoaGiIYcOGRUREc3NzNDU1la8//PDDo7GxMb761a/GmDFjYsCAAXHBBRfEdddd9979FgAHgXLVyB0vUAUK1QDJpA7VERHTpk2LadOmdfq9RYsWdXjtT//0Tzu0jAMA0A15cAeQSqbdvwHoOgV3vAAA3YZQDZATWjGBairaqQwgEaEaAIAyvTAA6QjVADlRKho5QhaoBnVqgGSEagAAygqe3AGkIlQD5ESxrW7kdheoBkuqAZIRqgEAKFOoBkhHqAbIGTe8AADdh1ANkBNaMYHqMukAJCFUAwBQphkGIB2hGiBnCm55gSrQHQOQjFANAECZI7UA0hGqAXKi2FY2cr8LVINCNUAyQjUAAGWe2wGkI1QD5IxKNQBA9yFUA+SETYOAajLnACQjVAMAUKYbBiAdoRogJ/YWjdzxApVXtFUZQCJCNQAAf8CDO4A0hGqAnNGaCQDQfQjVADlh0yCgmsw5AMkI1QAAlOmGAUhHqAbIidKmQe53gWpQqQZIRqgGAKDMgzuAdIRqgJwoVY20ZgLV4EgtgGSEagAAyjy4A0hHqAbImYLmTACAbkOoBsgJjZhANdmoDCAZoRoAgDLdMADpCNUAedFWNrLeEQCg+xCqAQAo8+AOIB2hGiAnSssb3e8C1WBNNUAyQjUAAGUe3AGkI1QD5ExBbyYAQLchVAPkhFZMoJqKDvIDSESoBgCgTDcMQDpCNUBOqBoB1aQ7BiAZoRoAAAAyEqoBckZnJgBA9yFUA+SEVkygGkoP7kw5AMkI1QAAAJCRUA2QE6WqUSH0fwOVV9QeA5CIUA0AQJl9GwDSEaoBcqJUNHLDC1SDOjVAMkI1AABllpgApCNUA+SM210AgO5DqAbIiaJmTKAKykdqmXIAEhGqAQAAICOhGiAvbFQGVJVSNUASQjUAAGWe2wGkI1QD5ESpZlRQqgaqwJpqgGSEagAAyjy4A0hHqAbIGbe7AADdh1ANkBNFvZhAFZlxAJIRqgEAKNMNA5COUA2QE+VCtTteoAo0xwAkI1QDALCXB3cAqQjVADmxt1DtjheoPPs4ACQjVAMAUOaxHUA6QjUAAABkJFQD5ESpE7OgjARUgeZvgGSEagAAygqe3AGkIlQD5ESxrW7kdheoBvuUASQjVAMAUObBHUA6QjVAzujMBADoPoRqgJzQiglUQ+nBXdFWZQCJCNUAAACQkVANkDMFKx6BalCoBkhEqAYAoMyDO4B0hGqAnCi2Laq2URlQDQrVAMkI1QAAlHlwB5COUA2QM+53AQC6D6EaICe0YgLV5Bg/gGSEagAAAMhIqAbIiXLVyIJHoAqK+mMAEhGqAQAoK3hwB5CKUA2QE6WqkdtdoBqsqQZIRqgGAKDMgzuAdIRqAAAAyEioBsiJUium5Y5ANej+BkhGqAYAoMyDO4B0hGqAnCifqGXFI1AFRTuVASQiVAMAUKZSDZCOUA2QM254AQC6D6EaICd0YgLVUFpiYsoBSEaoBgAAgIyEaoDc2FM30v0NVIVSNUAiQjUAAGX2bQBIR6gGyInSmmo3vEA1FJWqARIRqgEAKPPcDiAdoRogZwpK1QAA3YZQDZATjtQCqqLtwZ05ByCZTKF6/vz5MWLEiOjTp0/U1dXFsmXLEr3vkUceiV69esVJJ52U5ccCAABAt5I6VC9ZsiRmzJgRs2fPjlWrVsX48eNjwoQJ0dTU9K7v27p1a0yaNCnOOuuszIMFOJjZNAioJpVqgGRSh+q5c+fG5MmTY8qUKTFq1KiYN29eDB06NBYsWPCu77vkkkviwgsvjLFjx2YeLAAAlWXXBoB0UoXq1tbWWLlyZdTX17d7vb6+Ph599NF9vu8//uM/4ve//31cddVViX7O9u3bo6Wlpd0XwMHOkVpANSlUAySTKlRv3rw5du3aFbW1te1er62tjY0bN3b6nt/+9rfxzW9+MxYvXhy9evVK9HPmzJkT/fr1K38NHTo0zTABAMjIgzuAdDJtVPbO41yKxWKnR7zs2rUrLrzwwrjmmmvigx/8YOLPnzVrVmzdurX8tX79+izDBDggFTRnAgB0G8lKx20GDhwYPXv27FCV3rRpU4fqdUTEtm3bYsWKFbFq1aq47LLLIiJi9+7dUSwWo1evXvGrX/0qPvnJT3Z4X01NTdTU1KQZGsABTysmUA2lx3ZFO5UBJJKqUt27d++oq6uLxsbGdq83NjbGuHHjOlzft2/f+M1vfhOrV68uf02dOjU+9KEPxerVq+PUU0/dv9EDAABAF0pVqY6ImDlzZnzxi1+MMWPGxNixY+O2226LpqammDp1akTsad1+8cUX484774wePXrE6NGj273/Ax/4QPTp06fD6wC8OxuVAdWkTg2QTOpQPXHixNiyZUtce+210dzcHKNHj46GhoYYNmxYREQ0Nzf/0TOrAQDonjrbJweAfUsdqiMipk2bFtOmTev0e4sWLXrX91599dVx9dVXZ/mxAIQzZAEAupNMu38DUH1FzZhAFezdqKxLhwGQG0I1AAAAZCRUA+SFjcqAKtg7xyhVAyQhVAMAAEBGQjVATpRqRgVblQFVYE01QDJCNQAAZR7cAaQjVAPkjDXVAADdh1ANkBNFvZhANbQ9uDPjACQjVAMAAEBGQjVATqgaAdWkOQYgGaEaAIAy2zYApCNUA+REqWpUsFMZUAVF/TEAiQjVAACUeW4HkI5QDZAz7ncBALoPoRogJzRiAtVQaHt0Z6MygGSEagAAAMhIqAbIiWJb2ch6R6AaFKoBkhGqAQAo8+AOIB2hGiBn3O8CAHQfQjVATmjFBKqhVKku2qkMIBGhGgAAADISqgHyoq1oVLDgEaiggkUmAKkI1QAAAJCRUA2QE8VwpBZQPZZUAyQjVAMAUObBHUA6QjVAzrjfBQDoPoRqgJzQiglUU9FBfgCJCNUAAACQkVANkBPlSrUFj0AFlY7t0x0DkIxQDQAAABkJ1QA5UT5Sq4vHARwcVKoBkhGqAQAo8+AOIB2hGiBnLKkGAOg+hGqAnNCKCVRD6cGdKQcgGaEaAAAAMhKqAXKifKKWFY9AFRS1xwAkIlQDAFDmsR1AOkI1QE6UikY2KgOqQZ0aIBmhGgCAsoIndwCpCNUAAACQkVANkBt7mjHVkIBKKs8x+r8BEhGqAQAAICOhGiAnbFQGVFNRqRogEaEaAIAyD+4A0hGqAXKmYFU1AEC3IVQD5IRGTKA69jy4K5p0ABIRqgEAACAjoRogJ4rlncq6dhzAga20plqhGiAZoRoAAAAyEqoBcqJUNVKoBqrBmmqAZIRqAADKPLgDSEeoBsiZgkNkAQC6DaEaICe0YgLVsHejMpMOQBJCNQAAAGQkVAPkhI3KgGootM0yumMAkhGqAQAAICOhGiAnim1lI/uUAdWgUA2QjFANAECZB3cA6QjVAAAAkJFQDZAzqkhAJZXnGDuVASQiVAMAAEBGQjVATpSKRgWHagFVoE4NkIxQDQBAmQd3AOkI1QA5Y001AED3IVQD5ERRMyZQDW0P7uxTBpCMUA0AAAAZCdUAOaFqBFTD3hO1TDoASQjVAAAAkJFQDZAT5SO17FQGVIE6NUAyQjUAAGUe3AGkI1QD5IzbXQCA7kOoBsgJR2oB1bB3o7IuHQZAbgjVAAAAkJFQDZATezcq69pxAAe20hyjUA2QjFANAAAAGQnVADlRqhoVbFUGVEHRomqARIRqAADKPLYDSEeoBsgZa6oBALoPoRogL3RiAlVQ8OQOIBWhGgAAADISqgFyothWqlZDAiqpNMfYpwwgGaEaAAAAMhKqAXLGckcAgO5DqAbICa2YQFW0Pbgr2h0RIBGhGgAAADISqgFyYm/NSP83UDmFtjlGdwxAMkI1AAAAZCRUA+REsa1sZKMyoJIK5TXVACQhVAMAAEBGQjVAzihUAwB0H0I1QE5oxQSqofTgzkZlAMlkCtXz58+PESNGRJ8+faKuri6WLVu2z2t/+tOfxjnnnBNHHXVU9O3bN8aOHRv33Xdf5gEDAABAd5E6VC9ZsiRmzJgRs2fPjlWrVsX48eNjwoQJ0dTU1On1Dz30UJxzzjnR0NAQK1eujE984hNx3nnnxapVq/Z78AAHk1LVqGCnMqCC9m5UplQNkETqUD137tyYPHlyTJkyJUaNGhXz5s2LoUOHxoIFCzq9ft68efH1r389Tj755Bg5cmR8+9vfjpEjR8Y999yz34MHAACArpQqVLe2tsbKlSujvr6+3ev19fXx6KOPJvqM3bt3x7Zt2+LII4/c5zXbt2+PlpaWdl8AB7tSzUidGqgGa6oBkkkVqjdv3hy7du2K2tradq/X1tbGxo0bE33GDTfcEG+88UZccMEF+7xmzpw50a9fv/LX0KFD0wwTAICMCh7dAaSSaaOyd67nKxaLidb43XXXXXH11VfHkiVL4gMf+MA+r5s1a1Zs3bq1/LV+/foswwQ4IFlSDQDQffRKc/HAgQOjZ8+eHarSmzZt6lC9fqclS5bE5MmT48c//nGcffbZ73ptTU1N1NTUpBkawIFPLyZQBR7cAaSTqlLdu3fvqKuri8bGxnavNzY2xrhx4/b5vrvuuisuvvji+NGPfhSf+cxnso0UAAAAuplUleqIiJkzZ8YXv/jFGDNmTIwdOzZuu+22aGpqiqlTp0bEntbtF198Me68886I2BOoJ02aFDfddFOcdtpp5Sr3oYceGv369XsPfxWAA1t5ozJVJKCCykdq6Y4BSCR1qJ44cWJs2bIlrr322mhubo7Ro0dHQ0NDDBs2LCIimpub251Z/YMf/CB27twZl156aVx66aXl17/0pS/FokWL9v83AAAAgC6SOlRHREybNi2mTZvW6ffeGZSXLl2a5UcAsA925gUA6D4y7f4NQPXpxASqY8+DO3MOQDJCNQAAAGQkVAPkRLG0VZnub6CCyhuVde0wAHJDqAYAAICMhGqAnCgqVANVUJpjrKkGSEaoBgAAgIyEaoCcKRTUqgEAuguhGiAntGIC1bB3ozKTDkASQjUAAABkJFQD5ESpZqT5G6ikQtssozsGIBmhGgAAADISqgFyothWNrJPGVBJe9dUA5CEUA0AAAAZCdUAOVOwqhoAoNsQqgEAKCs/trNTGUAiQjUAAABkJFQD5ESpaGSjMqCSCm2TjDo1QDJCNQAAAGQkVAPkjEI1AED3IVQD5ERRMyZQRfYpA0hGqAYAAICMhGqAnChXjfR/AxVU2gxRdwxAMkI1AAAAZCRUA+TE3kK1UjVQOaU5xppqgGSEagAAAMhIqAbImYJCNQBAtyFUA+REUS8mUAV7NyoDIAmhGgAAADISqgFywolaQDWU5hjNMQDJCNUAAACQkVANkBdtVaOCncqACtq7plqpGiAJoRoAAAAyEqoBckahGgCg+xCqAXJCIyZQDQVnagGkIlQDAABARkI1QE4U28630f0NVFL5SK0uHQVAfgjVAAAAkJFQDZATpaqRjcqAiiotqS6qVQMkIVQDAABARkI1AAAAZCRUA+TE3k5M/d9A5RTa5hjd3wDJCNUAAACQkVANkBPFtq3KbFQGVFJpjlGoBkhGqAYAAICMhGqAnFGoBgDoPoRqgJywaRBQDaUHd+YcgGSEagAAAMhIqAbIiVLVqGCnMqCC9m5UplQNkIRQDQAAABkJ1QA5o04NVFKhbZaxphogGaEaAAAAMhKqAXLGkmoAgO5DqAbIiaJeTKAKPLgDSEeoBgAAgIyEaoCcKNWpC7YqAyqoNMPojgFIRqgGAACAjIRqgJwoFY2sdwQqqm2SUacGSEaoBgAAgIyEagAAAMhIqAbIiaJmTKAK9m5U1qXDAMgNoRoAAAAyEqoBcsJGZUA1lOYY3TEAyQjVAAAAkJFQDZAzhVCqBirHHAOQjlANkBMaMYFqslEZQDJCNQAAAGQkVAPkhI3KgGrYu1EZAEkI1QAAAJCRUA2QG3vqRirVQCWVphhrqgGSEaoBAAAgI6EaIGccdwNUkm4YgHSEaoCc0IoJVJdJByAJoRoAAAAyEqoBcqJUM9KaCVRSoW2S0R0DkIxQDQAAABkJ1QA5UWwrGylUA9WgUg2QjFANAAAAGQnVADljTTUAQPchVAPkhE5MoBpKD+6KZh2ARIRqAAAAyEioBsiJvZsG6f8GKqcQjtQCSEOoBgAAgIyEaoCcsVEZUEnmGIB0hGqAnCjqxQSqyIwDkIxQDQAAABkJ1QA5Uaoa6cwEKqk0x2iOAUhGqAYAAICMhGqAvGirGhXsIgRUUGmKKVpVDZCIUA0AAAAZCdUAOaNODVRSwSwDkIpQDZATGjGBqjLpACQiVAMAAEBGmUL1/PnzY8SIEdGnT5+oq6uLZcuWvev1Dz74YNTV1UWfPn3iuOOOi1tvvTXTYAEOZsW2823sUwZU0t6NygBIInWoXrJkScyYMSNmz54dq1ativHjx8eECROiqamp0+vXrl0b5557bowfPz5WrVoVV155ZUyfPj1+8pOf7PfgAQAAoCv1SvuGuXPnxuTJk2PKlCkRETFv3ry47777YsGCBTFnzpwO1996661x7LHHxrx58yIiYtSoUbFixYr47ne/G5///Of3b/TdzKZtb3usC1TM7tKRWjYRAqrgrdZdsanl7a4eBnCAqjmkZ/Q79JCuHsZ7IlWobm1tjZUrV8Y3v/nNdq/X19fHo48+2ul7Hnvssaivr2/32qc+9am44447YseOHXHIIR3/i9y+fXts3769/O+WlpY0w+wyn7rxoXj1zR1dPQwAgP127zMb495nNnb1MIAD1Pl1x8T/O//Erh7GeyJVqN68eXPs2rUramtr271eW1sbGzd2Pulu3Lix0+t37twZmzdvjkGDBnV4z5w5c+Kaa65JM7RuoWePQvTsoYIEVM7oIf1icP8+XT0M4AB22nEDYuDhvRUKgIrqcQBtEpO6/TsiovCO/wKKxWKH1/7Y9Z29XjJr1qyYOXNm+d8tLS0xdOjQLEOtqhX/dE5XDwEAYL+MHtLPPQ1ACqlC9cCBA6Nnz54dqtKbNm3qUI0uOfroozu9vlevXjFgwIBO31NTUxM1NTVphgYAAABVl2r37969e0ddXV00Nja2e72xsTHGjRvX6XvGjh3b4fpf/epXMWbMmE7XUwMAAEBepD5Sa+bMmXH77bfHwoUL49lnn43LL788mpqaYurUqRGxp3V70qRJ5eunTp0azz//fMycOTOeffbZWLhwYdxxxx1xxRVXvHe/BQAAAHSB1GuqJ06cGFu2bIlrr702mpubY/To0dHQ0BDDhg2LiIjm5uZ2Z1aPGDEiGhoa4vLLL4/vf//7MXjw4Lj55psPuOO0AAAAOPgUiqVdw7qxlpaW6NevX2zdujX69u3b1cMBAADgAJc0h6Zu/wYAAAD2EKoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoRoAAAAyEqoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoRoAAAAyEqoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoRoAAAAyEqoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoRoAAAAyEqoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoRoAAAAyEqoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoRoAAAAyEqoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoRoAAAAy6tXVA0iiWCxGRERLS0sXjwQAAICDQSl/lvLovuQiVG/bti0iIoYOHdrFIwEAAOBgsm3btujXr98+v18o/rHY3Q3s3r07NmzYEEcccUQUCoWuHs4+tbS0xNChQ2P9+vXRt2/frh4OAPjbBEC3k5e/TcViMbZt2xaDBw+OHj32vXI6F5XqHj16xDHHHNPVw0isb9++3fr/HAAcfPxtAqC7ycPfpnerUJfYqAwAAAAyEqoBAAAgI6H6PVRTUxNXXXVV1NTUdPVQACAi/G0CoPs50P425WKjMgAAAOiOVKoBAAAgI6EaAAAAMhKqAQAAICOhGgAAADISqgEAACAjoXofHnjggZg+fXqMHTs2hgwZEjU1NXHEEUdEXV1dfOtb34pt27b90c8YPnx4LFq0qPKDBYB3aGhoiLPPPjuOPPLIOOyww+JjH/tY3HLLLbF79+6uHhoAB4C77747Lrnkkqirq4tBgwZF7969o3///jFu3Li46aaborW19V3fXygUYunSpdUZbIU5UmsfLrrooli8eHH06tUrBg8eHB/4wAfi5ZdfjqampigWizFixIhYunRpHHvssfv8jOHDh8fVV18dF198cfUGDsBB7/rrr49Zs2ZFRMRxxx0Xhx9+eDz99NOxe/fu+Iu/+Iv42c9+Fj16eK4OQHZnnHFGPPLII1FTUxODBw+OAQMGRHNzc7z44osREVFXVxf//d//Hf379+/0/YVCIR544IE488wzqzfoCvEXdR8+97nPxS9/+ctoaWmJ559/PpYvXx7r1q2Lp59+Ok444YRYu3Zt/P3f/32791x44YXxy1/+stPP27p1a0yePDnuv//+agwfgIPUY489FldeeWX06NEjfvSjH8Xvf//7eOqpp+LJJ5+M2tra+MUvfhFz587t6mECkHNTpkyJBx54ILZt2xbPPfdcLF++PF544YV47LHH4phjjomVK1fG7NmzIyKitbU1zjvvvPj1r3/d6Wdt2LAh/uqv/ir+93//t5q/wntGqN6Hz3/+8/HpT386Dj300Havf/jDH47bb789IiLuu+++ePvttyMiYvv27XH44YfHn//5n8eXvvSlePXVV8vvueeee+LDH/5wLF26VGUAgIq67rrrolgsxpQpU+Kv//qvy6+feOKJ5TB9/fXXx44dO7pqiAAcAC6++OI488wz45BDDmn3+mmnnVb+e3P33XdHRMTrr78evXv3jnHjxsUVV1wRb731Vvn6hQsXxkc+8pFYu3ZtOVvljfbvDLZt2xZ9+/aNiIjXXnst+vXrV/7ek08+GdOnT4/f//738frrr8egQYNiw4YNMWvWrLjiiiuipqamw+ctX748brrppnjooYfipZdeiv79+8fxxx8fn/3sZ+OSSy5p9/kAsC8tLS1x1FFHRWtrazzxxBNxyimntPv+jh07YuDAgdHS0hL33Xdf1NfXd9FIATiQ/eY3v4kTTjgh+vfv367YeP/998c//MM/RGtra/z2t7+NkSNHxquvvhrf+ta34itf+UqnBcjGxsZYsGBBPP7447Fly5YYMGBAfOhDH4ovfOELMWXKlE7zVbUpm2bw2GOPRcSedWrvDLwf+9jHYtmyZXHGGWfE66+/Hi+88EL8z//8T8yePbvT/8G/853vxKmnnhqLFy+OrVu3xkc/+tE44ogjYsWKFfGNb3wjVq1aVZXfCYD8W7VqVbS2tkafPn3iYx/7WIfvH3LIIXHyySdHRMQTTzxR7eEBcJAo5aV3/i0666yzYuXKlXHUUUdFxJ4C5RNPPBFTp07tNFBfdtllUV9fHz/72c+itbU1TjjhhOjdu3c89NBDcdlll0Vzc3Plf5kEhOqEisVibNy4MRYvXhwXX3xx9OrVq9M1aatXr46Pf/zj8fDDD8fhhx8eQ4YMibPOOiuuv/76Djvg/fznP49vfOMb0aNHj7jhhhti8+bNsWLFivjd734Xr732Wtx2221RW1tbrV8RgJz77W9/GxERxx57bPTq1avTa4477rh21wLAe2HXrl3xwgsvxPz58+OKK66Iww47LObMmdPumqVLl8bJJ58cL7/8ckRE9O/fP0499dT493//9w6nU9x0003x/e9/P973vvfFD3/4w9i0aVN5n6uXX345brjhhjjssMOq9vu9G6H6j7j77rujUChEjx49YtCgQXHRRRfFBz/4wVi6dGn85V/+Zfm67du3x7Rp02LMmDExfPjwWLNmTQwYMCBmz54dP/rRj+KWW26J0aNHx4MPPlh+z5VXXhkREVdddVXMnDmz3XqE973vffF3f/d3MWrUqOr9sgDkWqnF7v3vf/8+ryl97w/b8QAgq3nz5kWhUIhevXrF0KFD49JLL42zzjorHn/88fIypFdffTUmTpwYZ599dpxzzjnx1FNPRUTEbbfdFtdff3187Wtfi1NOOSV+85vfRETEW2+9Fd/61rciIuLWW2+Niy66qF0l+8gjj4yZM2eWK95dTaj+IwYMGBCnn356nHbaaTFkyJAoFArx61//Ou688852C+xramri1VdfjXvuuSfuvPPOdjc05513XjzzzDNxxhlnlDeG+d3vfhdr1qyJ3r17x4wZM6r9awFwACpt8NK7d+99XlNaivSHf8MAIKshQ4bE6aefHqecckq5y/aBBx6Iu+66K3bt2hUREYcddli8+eab8cgjj8QNN9zQbjPoyZMnx5o1a+LYY48tFxkfeeSR2LJlSwwePDj+5m/+pvq/VEqd94ZRNn78+Hj44YfL/3722Wfj0ksvjdtuuy2ampraHaF111137fNz+vfvHwsXLmz3ORF7dhM/4ogjKjByAA42ffr0iYjosNzoD23fvj0iosPpFgCQxfnnnx/nn39++d9PPPFEXHLJJfHtb387XnnllViwYEH07t077rnnnn1+xuDBg+OnP/1p+d+lrHTKKafk4vSk7j/CCjn//PPjjDPO6PD1x4waNSruueeeqK2tjXvvvbdd4E6jpaUlImKfh6EDQFpJWruTtIgDQFannnpqNDQ0RE1NTdx2223x/PPPp/6MvGWlg7ZSvXz58kz/A0fsaV8488wzY8mSJfHkk0/uM4yvW7dun59Rqk6/9tprmcYAAO80cuTIiIhoamqKnTt3drpZ2XPPPdfuWgB4rw0ePDhOOumkeOKJJ+Kpp56KYcOGdbjm3U52zltWOmgr1evWrYtisdjhK6mdO3e2+8+0PvKRj0RExJo1a2Lbtm2ZPgMA/tCf/dmfxSGHHBJvv/12PPnkkx2+v2PHjli+fHlE7KkkAECl7E9eKmWl5cuXd9gVvDs6aEP1/ti6dWs88MADERFx0kknZfqM448/PkaPHh2tra1x8803v4ejA+Bg1bdv3zj77LMjIuKOO+7o8P0f//jH0dLSEgMGDIgzzzyzyqMD4GCxbt268g7fJ554Yur3n3766TFw4MB48cUX33Xfqu5CqO7Ehg0bYsaMGfHMM890+N7jjz8en/70p+OVV16Jj370o/Hxj38888+57rrrIiLi6quvjptvvrm8M3hExJtvvhm33357eZE+ACQxe/bsKBQKcfvtt7e7EXnqqadi5syZERHx9a9//V13CAeAd7Ny5cq46qqrykuK/tC9994bEyZMiJ07d8a5554bxx9/fOrP79OnT/zzP/9zRERccsklcdddd7XrKn711VfjxhtvLJ933dUKxTQ9zweJdevWxYgRIyJizxlow4cPj2KxGOvXr4/NmzdHxJ5K83333Zfp/yR/6Prrr48rr7wyisVi9OvXL0aOHBlbt26NdevWxY4dO+KBBx5QTQAglX/913+Nf/qnf4qIiOOOOy4OP/zwePrpp2P37t3xmc98Jn7+859Hz549u3iUAOTV0qVL4xOf+ERERBx99NFxzDHHRGtrazQ1NZXXQZ988snR0NAQAwcOzPQzisViXHrppbFgwYKIiBg4cGCMGDEiXn755Vi/fn3s2rUr1q5dG8OHD38vfqX9IlR34u23344777wz7r///li9enW89NJL8cYbb8T73//++OhHPxqf/exnY8qUKe/ZcSSPP/543HjjjbFs2bLYvHlzHHnkkXH88cfH5z73ufjKV74Sffv2fU9+DgAHj//6r/+KG2+8MVauXBk7duyIkSNHxpe//OW47LLLBGoA9surr74aP/zhD+P++++PZ555Jl566aVobW2NAQMGxEknnRQXXHBBXHTRRZ1umJlWQ0NDLFiwIJ544onYunVrHHXUUfGhD30ovvCFL8TkyZO7ReeVUA0AAAAZWVMNAAAAGQnVAAAAkJFQDQAAABkJ1QAAAJCRUA0AAAAZCdUAAACQkVANAAAAGQnVAAAAkJFQDQAAABkJ1QAAAJCRUA0AAAAZCdUAAACQkVANAAAAGf1/hz0hRvzu3MkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = 2\n",
    "support = np.linspace(-3 * c, 3 * c, 1000)\n",
    "trimmed = norms.TrimmedMean(c=c)\n",
    "plot_weights(support, trimmed.weights, [\"-3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tukey's Biweight"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function weights in module statsmodels.robust.norms:\n",
      "\n",
      "weights(self, z)\n",
      "    Tukey's biweight weighting function for the IRLS algorithm\n",
      "\n",
      "    The psi function scaled by z\n",
      "\n",
      "    Parameters\n",
      "    ----------\n",
      "    z : array_like\n",
      "        1d array\n",
      "\n",
      "    Returns\n",
      "    -------\n",
      "    weights : ndarray\n",
      "        psi(z) = (1 - (z/c)**2)**2          for \\|z\\| <= R\n",
      "\n",
      "        psi(z) = 0                          for \\|z\\| > R\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(norms.TukeyBiweight.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = 4.685\n",
    "support = np.linspace(-3 * c, 3 * c, 1000)\n",
    "tukey = norms.TukeyBiweight(c=c)\n",
    "plot_weights(support, tukey.weights, [\"-3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scale Estimators"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Robust estimates of the location"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "x = np.array([1, 2, 3, 4, 500])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* The mean is not a robust estimator of location"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(102.0)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* The median, on the other hand, is a robust estimator with a breakdown point of 50%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(3.0)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.median(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Analogously for the scale\n",
    "* The standard deviation is not robust"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(199.00251254695254)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.std()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Median Absolute Deviation\n",
    "\n",
    "$$ median_i |X_i - median_j(X_j)|) $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Standardized Median Absolute Deviation is a consistent estimator for $\\hat{\\sigma}$\n",
    "\n",
    "$$\\hat{\\sigma}=K \\cdot MAD$$\n",
    "\n",
    "where $K$ depends on the distribution. For the normal distribution for example,\n",
    "\n",
    "$$K = \\Phi^{-1}(.75)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.6744897501960817)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.norm.ppf(0.75)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  1   2   3   4 500]\n"
     ]
    }
   ],
   "source": [
    "print(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(1.482602218505602)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.robust.scale.mad(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(1.4142135623730951)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([1, 2, 3, 4, 5.0]).std()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another robust estimator of scale is the Interquartile Range (IQR)\n",
    "\n",
    "$$\\left(\\hat{X}_{0.75} - \\hat{X}_{0.25}\\right),$$\n",
    "\n",
    "where $\\hat{X}_{p}$ is the sample p-th quantile and $K$ depends on the distribution. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The standardized IQR, given by $K \\cdot \\text{IQR}$ for\n",
    "$$K = \\frac{1}{\\Phi^{-1}(.75) - \\Phi^{-1}(.25)} \\approx 0.74,$$\n",
    "is a consistent estimator of the standard deviation for normal data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(1.48260222)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.robust.scale.iqr(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The IQR is less robust than the MAD in the sense that it has a lower breakdown point: it can withstand 25\\% outlying observations before being completely ruined, whereas the MAD can withstand 50\\% outlying observations. However, the IQR is better suited for asymmetric distributions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yet another robust estimator of scale is the $Q_n$ estimator, introduced in Rousseeuw & Croux (1993), 'Alternatives to the Median Absolute Deviation'. Then $Q_n$ estimator is given by\n",
    "$$\n",
    "Q_n = K \\left\\lbrace \\vert X_{i} - X_{j}\\vert : i<j\\right\\rbrace_{(h)}\n",
    "$$\n",
    "where $h\\approx (1/4){{n}\\choose{2}}$ and $K$ is a given constant. In words, the $Q_n$ estimator is the normalized $h$-th order statistic of the absolute differences of the data. The normalizing constant $K$ is usually chosen as 2.219144, to make the estimator consistent for the standard deviation in the case of normal data. The $Q_n$ estimator has a 50\\% breakdown point and a 82\\% asymptotic efficiency at the normal distribution, much higher than the 37\\% efficiency of the MAD."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.219144465985076"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.robust.scale.qn_scale(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* The default for Robust Linear Models is MAD\n",
    "* another popular choice is Huber's proposal 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "np.random.seed(12345)\n",
    "fat_tails = stats.t(6).rvs(40)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0xadde5de1e8ed>]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kde = sm.nonparametric.KDEUnivariate(fat_tails)\n",
    "kde.fit()\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(kde.support, kde.density)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0688231044810875 1.3471633229698652\n"
     ]
    }
   ],
   "source": [
    "print(fat_tails.mean(), fat_tails.std())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(np.float64(0.0688231044810875), np.float64(1.3471633229698652))\n"
     ]
    }
   ],
   "source": [
    "print(stats.norm.fit(fat_tails))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(6, np.float64(0.03900835312789366), np.float64(1.0563837144431252))\n"
     ]
    }
   ],
   "source": [
    "print(stats.t.fit(fat_tails, f0=6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.04048984333271795 1.1557140047569665\n"
     ]
    }
   ],
   "source": [
    "huber = sm.robust.scale.Huber()\n",
    "loc, scale = huber(fat_tails)\n",
    "print(loc, scale)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(1.115335001165415)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.robust.mad(fat_tails)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(1.0483916565928972)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.robust.mad(fat_tails, c=stats.t(6).ppf(0.75))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(1.115335001165415)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.robust.scale.mad(fat_tails)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Duncan's Occupational Prestige data - M-estimation for outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "from statsmodels.graphics.api import abline_plot\n",
    "from statsmodels.formula.api import ols, rlm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\", cache=True).data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            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\n",
      "minister    prof      21         84        87\n",
      "professor   prof      64         93        93\n",
      "dentist     prof      80        100        90\n",
      "reporter      wc      67         87        52\n",
      "engineer    prof      72         86        88\n"
     ]
    }
   ],
   "source": [
    "print(prestige.head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xadde5de1e8ed>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 12))\n",
    "ax1 = fig.add_subplot(211, xlabel=\"Income\", ylabel=\"Prestige\")\n",
    "ax1.scatter(prestige.income, prestige.prestige)\n",
    "xy_outlier = prestige.loc[\"minister\", [\"income\", \"prestige\"]]\n",
    "ax1.annotate(\"Minister\", xy_outlier, xy_outlier + 1, fontsize=16)\n",
    "ax2 = fig.add_subplot(212, xlabel=\"Education\", ylabel=\"Prestige\")\n",
    "ax2.scatter(prestige.education, prestige.prestige)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "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:                Thu, 18 Dec 2025   Prob (F-statistic):           8.65e-17\n",
      "Time:                        07:37:30   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",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "ols_model = ols(\"prestige ~ income + education\", prestige).fit()\n",
    "print(ols_model.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accountant            0.303900\n",
      "pilot                 0.340920\n",
      "architect             0.072256\n",
      "author                0.000711\n",
      "chemist               0.826578\n",
      "minister              3.134519\n",
      "professor             0.768277\n",
      "dentist              -0.498082\n",
      "reporter             -2.397022\n",
      "engineer              0.306225\n",
      "undertaker           -0.187339\n",
      "lawyer               -0.303082\n",
      "physician             0.355687\n",
      "welfare.worker       -0.411406\n",
      "teacher               0.050510\n",
      "conductor            -1.704032\n",
      "contractor            2.043805\n",
      "factory.owner         1.602429\n",
      "store.manager         0.142425\n",
      "banker                0.508388\n",
      "bookkeeper           -0.902388\n",
      "mail.carrier         -1.433249\n",
      "insurance.agent      -1.930919\n",
      "store.clerk          -1.760491\n",
      "carpenter             1.068858\n",
      "electrician           0.731949\n",
      "RR.engineer           0.808922\n",
      "machinist             1.887047\n",
      "auto.repairman        0.522735\n",
      "plumber              -0.377954\n",
      "gas.stn.attendant    -0.666596\n",
      "coal.miner            1.018527\n",
      "streetcar.motorman   -1.104485\n",
      "taxi.driver           0.023322\n",
      "truck.driver         -0.129227\n",
      "machine.operator      0.499922\n",
      "barber                0.173805\n",
      "bartender            -0.902422\n",
      "shoe.shiner          -0.429357\n",
      "cook                  0.127207\n",
      "soda.clerk           -0.883095\n",
      "watchman             -0.513502\n",
      "janitor              -0.079890\n",
      "policeman             0.078847\n",
      "waiter               -0.475972\n",
      "Name: student_resid, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "infl = ols_model.get_influence()\n",
    "student = infl.summary_frame()[\"student_resid\"]\n",
    "print(student)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "minister      3.134519\n",
      "reporter     -2.397022\n",
      "contractor    2.043805\n",
      "Name: student_resid, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(student.loc[np.abs(student) > 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dfb_Intercept      0.144937\n",
      "dfb_income        -1.220939\n",
      "dfb_education      1.263019\n",
      "cooks_d            0.566380\n",
      "standard_resid     2.849416\n",
      "hat_diag           0.173058\n",
      "dffits_internal    1.303510\n",
      "student_resid      3.134519\n",
      "dffits             1.433935\n",
      "Name: minister, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(infl.summary_frame().loc[\"minister\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                    student_resid   unadj_p  sidak(p)\n",
      "minister                 3.134519  0.003177  0.133421\n",
      "reporter                -2.397022  0.021170  0.618213\n",
      "contractor               2.043805  0.047433  0.887721\n",
      "insurance.agent         -1.930919  0.060428  0.939485\n",
      "machinist                1.887047  0.066248  0.954247\n",
      "store.clerk             -1.760491  0.085783  0.982331\n",
      "conductor               -1.704032  0.095944  0.989315\n",
      "factory.owner            1.602429  0.116738  0.996250\n",
      "mail.carrier            -1.433249  0.159369  0.999595\n",
      "streetcar.motorman      -1.104485  0.275823  1.000000\n",
      "carpenter                1.068858  0.291386  1.000000\n",
      "coal.miner               1.018527  0.314400  1.000000\n",
      "bartender               -0.902422  0.372104  1.000000\n",
      "bookkeeper              -0.902388  0.372122  1.000000\n",
      "soda.clerk              -0.883095  0.382334  1.000000\n",
      "chemist                  0.826578  0.413261  1.000000\n",
      "RR.engineer              0.808922  0.423229  1.000000\n",
      "professor                0.768277  0.446725  1.000000\n",
      "electrician              0.731949  0.468363  1.000000\n",
      "gas.stn.attendant       -0.666596  0.508764  1.000000\n",
      "auto.repairman           0.522735  0.603972  1.000000\n",
      "watchman                -0.513502  0.610357  1.000000\n",
      "banker                   0.508388  0.613906  1.000000\n",
      "machine.operator         0.499922  0.619802  1.000000\n",
      "dentist                 -0.498082  0.621088  1.000000\n",
      "waiter                  -0.475972  0.636621  1.000000\n",
      "shoe.shiner             -0.429357  0.669912  1.000000\n",
      "welfare.worker          -0.411406  0.682918  1.000000\n",
      "plumber                 -0.377954  0.707414  1.000000\n",
      "physician                0.355687  0.723898  1.000000\n",
      "pilot                    0.340920  0.734905  1.000000\n",
      "engineer                 0.306225  0.760983  1.000000\n",
      "accountant               0.303900  0.762741  1.000000\n",
      "lawyer                  -0.303082  0.763360  1.000000\n",
      "undertaker              -0.187339  0.852319  1.000000\n",
      "barber                   0.173805  0.862874  1.000000\n",
      "store.manager            0.142425  0.887442  1.000000\n",
      "truck.driver            -0.129227  0.897810  1.000000\n",
      "cook                     0.127207  0.899399  1.000000\n",
      "janitor                 -0.079890  0.936713  1.000000\n",
      "policeman                0.078847  0.937538  1.000000\n",
      "architect                0.072256  0.942750  1.000000\n",
      "teacher                  0.050510  0.959961  1.000000\n",
      "taxi.driver              0.023322  0.981507  1.000000\n",
      "author                   0.000711  0.999436  1.000000\n"
     ]
    }
   ],
   "source": [
    "sidak = ols_model.outlier_test(\"sidak\")\n",
    "sidak.sort_values(\"unadj_p\", inplace=True)\n",
    "print(sidak)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                    student_resid   unadj_p  fdr_bh(p)\n",
      "minister                 3.134519  0.003177   0.142974\n",
      "reporter                -2.397022  0.021170   0.476332\n",
      "contractor               2.043805  0.047433   0.596233\n",
      "insurance.agent         -1.930919  0.060428   0.596233\n",
      "machinist                1.887047  0.066248   0.596233\n",
      "store.clerk             -1.760491  0.085783   0.616782\n",
      "conductor               -1.704032  0.095944   0.616782\n",
      "factory.owner            1.602429  0.116738   0.656653\n",
      "mail.carrier            -1.433249  0.159369   0.796844\n",
      "streetcar.motorman      -1.104485  0.275823   0.999436\n",
      "carpenter                1.068858  0.291386   0.999436\n",
      "coal.miner               1.018527  0.314400   0.999436\n",
      "bartender               -0.902422  0.372104   0.999436\n",
      "bookkeeper              -0.902388  0.372122   0.999436\n",
      "soda.clerk              -0.883095  0.382334   0.999436\n",
      "chemist                  0.826578  0.413261   0.999436\n",
      "RR.engineer              0.808922  0.423229   0.999436\n",
      "professor                0.768277  0.446725   0.999436\n",
      "electrician              0.731949  0.468363   0.999436\n",
      "gas.stn.attendant       -0.666596  0.508764   0.999436\n",
      "auto.repairman           0.522735  0.603972   0.999436\n",
      "watchman                -0.513502  0.610357   0.999436\n",
      "banker                   0.508388  0.613906   0.999436\n",
      "machine.operator         0.499922  0.619802   0.999436\n",
      "dentist                 -0.498082  0.621088   0.999436\n",
      "waiter                  -0.475972  0.636621   0.999436\n",
      "shoe.shiner             -0.429357  0.669912   0.999436\n",
      "welfare.worker          -0.411406  0.682918   0.999436\n",
      "plumber                 -0.377954  0.707414   0.999436\n",
      "physician                0.355687  0.723898   0.999436\n",
      "pilot                    0.340920  0.734905   0.999436\n",
      "engineer                 0.306225  0.760983   0.999436\n",
      "accountant               0.303900  0.762741   0.999436\n",
      "lawyer                  -0.303082  0.763360   0.999436\n",
      "undertaker              -0.187339  0.852319   0.999436\n",
      "barber                   0.173805  0.862874   0.999436\n",
      "store.manager            0.142425  0.887442   0.999436\n",
      "truck.driver            -0.129227  0.897810   0.999436\n",
      "cook                     0.127207  0.899399   0.999436\n",
      "janitor                 -0.079890  0.936713   0.999436\n",
      "policeman                0.078847  0.937538   0.999436\n",
      "architect                0.072256  0.942750   0.999436\n",
      "teacher                  0.050510  0.959961   0.999436\n",
      "taxi.driver              0.023322  0.981507   0.999436\n",
      "author                   0.000711  0.999436   0.999436\n"
     ]
    }
   ],
   "source": [
    "fdr = ols_model.outlier_test(\"fdr_bh\")\n",
    "fdr.sort_values(\"unadj_p\", inplace=True)\n",
    "print(fdr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                    Robust linear Model Regression Results                    \n",
      "==============================================================================\n",
      "Dep. Variable:               prestige   No. Observations:                   45\n",
      "Model:                            RLM   Df Residuals:                       42\n",
      "Method:                          IRLS   Df Model:                            2\n",
      "Norm:                          HuberT                                         \n",
      "Scale Est.:                       mad                                         \n",
      "Cov Type:                          H1                                         \n",
      "Date:                Thu, 18 Dec 2025                                         \n",
      "Time:                        07:37:30                                         \n",
      "No. Iterations:                    18                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept     -7.1107      3.879     -1.833      0.067     -14.713       0.492\n",
      "income         0.7015      0.109      6.456      0.000       0.489       0.914\n",
      "education      0.4854      0.089      5.441      0.000       0.311       0.660\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": [
    "rlm_model = rlm(\"prestige ~ income + education\", prestige).fit()\n",
    "print(rlm_model.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accountant            1.000000\n",
      "pilot                 1.000000\n",
      "architect             1.000000\n",
      "author                1.000000\n",
      "chemist               1.000000\n",
      "minister              0.344596\n",
      "professor             1.000000\n",
      "dentist               1.000000\n",
      "reporter              0.441669\n",
      "engineer              1.000000\n",
      "undertaker            1.000000\n",
      "lawyer                1.000000\n",
      "physician             1.000000\n",
      "welfare.worker        1.000000\n",
      "teacher               1.000000\n",
      "conductor             0.538445\n",
      "contractor            0.552262\n",
      "factory.owner         0.706169\n",
      "store.manager         1.000000\n",
      "banker                1.000000\n",
      "bookkeeper            1.000000\n",
      "mail.carrier          0.690764\n",
      "insurance.agent       0.533499\n",
      "store.clerk           0.618656\n",
      "carpenter             0.935848\n",
      "electrician           1.000000\n",
      "RR.engineer           1.000000\n",
      "machinist             0.570360\n",
      "auto.repairman        1.000000\n",
      "plumber               1.000000\n",
      "gas.stn.attendant     1.000000\n",
      "coal.miner            0.963821\n",
      "streetcar.motorman    0.832870\n",
      "taxi.driver           1.000000\n",
      "truck.driver          1.000000\n",
      "machine.operator      1.000000\n",
      "barber                1.000000\n",
      "bartender             1.000000\n",
      "shoe.shiner           1.000000\n",
      "cook                  1.000000\n",
      "soda.clerk            1.000000\n",
      "watchman              1.000000\n",
      "janitor               1.000000\n",
      "policeman             1.000000\n",
      "waiter                1.000000\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(rlm_model.weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hertzprung Russell data for Star Cluster CYG 0B1 - Leverage Points"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Data is on the luminosity and temperature of 47 stars in the direction of Cygnus."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "dta = sm.datasets.get_rdataset(\"starsCYG\", \"robustbase\", cache=True).data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.patches import Ellipse\n",
    "\n",
    "fig = plt.figure(figsize=(12, 8))\n",
    "ax = fig.add_subplot(\n",
    "    111,\n",
    "    xlabel=\"log(Temp)\",\n",
    "    ylabel=\"log(Light)\",\n",
    "    title=\"Hertzsprung-Russell Diagram of Star Cluster CYG OB1\",\n",
    ")\n",
    "ax.scatter(*dta.values.T)\n",
    "# highlight outliers\n",
    "e = Ellipse((3.5, 6), 0.2, 1, alpha=0.25, color=\"r\")\n",
    "ax.add_patch(e)\n",
    "ax.annotate(\n",
    "    \"Red giants\",\n",
    "    xy=(3.6, 6),\n",
    "    xytext=(3.8, 6),\n",
    "    arrowprops=dict(facecolor=\"black\", shrink=0.05, width=2),\n",
    "    horizontalalignment=\"left\",\n",
    "    verticalalignment=\"bottom\",\n",
    "    clip_on=True,  # clip to the axes bounding box\n",
    "    fontsize=16,\n",
    ")\n",
    "# annotate these with their index\n",
    "for i, row in dta.loc[dta[\"log.Te\"] < 3.8].iterrows():\n",
    "    ax.annotate(i, row, row + 0.01, fontsize=14)\n",
    "xlim, ylim = ax.get_xlim(), ax.get_ylim()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "\n",
    "Image(filename=\"star_diagram.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = dta[\"log.light\"]\n",
    "X = sm.add_constant(dta[\"log.Te\"], prepend=True)\n",
    "ols_model = sm.OLS(y, X).fit()\n",
    "abline_plot(model_results=ols_model, ax=ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rlm_mod = sm.RLM(y, X, sm.robust.norms.TrimmedMean(0.5)).fit()\n",
    "abline_plot(model_results=rlm_mod, ax=ax, color=\"red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Why? Because M-estimators are not robust to leverage points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "infl = ols_model.get_influence()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10    0.194103\n",
       "19    0.194103\n",
       "29    0.198344\n",
       "33    0.194103\n",
       "Name: hat_diag, dtype: float64"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h_bar = 2 * (ols_model.df_model + 1) / ols_model.nobs\n",
    "hat_diag = infl.summary_frame()[\"hat_diag\"]\n",
    "hat_diag.loc[hat_diag > h_bar]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    student_resid   unadj_p  sidak(p)\n",
      "16      -2.049393  0.046415  0.892872\n",
      "13      -2.035329  0.047868  0.900286\n",
      "33       1.905847  0.063216  0.953543\n",
      "18      -1.575505  0.122304  0.997826\n",
      "1        1.522185  0.135118  0.998911\n",
      "3        1.522185  0.135118  0.998911\n",
      "21      -1.450418  0.154034  0.999615\n",
      "17      -1.426675  0.160731  0.999735\n",
      "29       1.388520  0.171969  0.999859\n",
      "14      -1.374733  0.176175  0.999889\n",
      "35       1.346543  0.185023  0.999933\n",
      "34      -1.272159  0.209999  0.999985\n",
      "28      -1.186946  0.241618  0.999998\n",
      "20      -1.150621  0.256103  0.999999\n",
      "44       1.134779  0.262612  0.999999\n",
      "39       1.091886  0.280826  1.000000\n",
      "19       1.064878  0.292740  1.000000\n",
      "6       -1.026873  0.310093  1.000000\n",
      "30      -1.009096  0.318446  1.000000\n",
      "22      -0.979768  0.332557  1.000000\n",
      "8        0.961218  0.341695  1.000000\n",
      "5        0.913802  0.365801  1.000000\n",
      "11       0.871997  0.387943  1.000000\n",
      "12       0.856685  0.396261  1.000000\n",
      "46      -0.833923  0.408829  1.000000\n",
      "10       0.743920  0.460879  1.000000\n",
      "42       0.727179  0.470968  1.000000\n",
      "15      -0.689258  0.494280  1.000000\n",
      "43       0.688272  0.494895  1.000000\n",
      "7        0.655712  0.515424  1.000000\n",
      "40      -0.646396  0.521381  1.000000\n",
      "26      -0.640978  0.524862  1.000000\n",
      "25      -0.545561  0.588123  1.000000\n",
      "32       0.472819  0.638680  1.000000\n",
      "37       0.472819  0.638680  1.000000\n",
      "38       0.462187  0.646225  1.000000\n",
      "0        0.430686  0.668799  1.000000\n",
      "31       0.341726  0.734184  1.000000\n",
      "36       0.318911  0.751303  1.000000\n",
      "4        0.307890  0.759619  1.000000\n",
      "9        0.235114  0.815211  1.000000\n",
      "41       0.187732  0.851950  1.000000\n",
      "2       -0.182093  0.856346  1.000000\n",
      "23      -0.156014  0.876736  1.000000\n",
      "27      -0.147406  0.883485  1.000000\n",
      "24       0.065195  0.948314  1.000000\n",
      "45       0.045675  0.963776  1.000000\n"
     ]
    }
   ],
   "source": [
    "sidak2 = ols_model.outlier_test(\"sidak\")\n",
    "sidak2.sort_values(\"unadj_p\", inplace=True)\n",
    "print(sidak2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    student_resid   unadj_p  fdr_bh(p)\n",
      "16      -2.049393  0.046415   0.764747\n",
      "13      -2.035329  0.047868   0.764747\n",
      "33       1.905847  0.063216   0.764747\n",
      "18      -1.575505  0.122304   0.764747\n",
      "1        1.522185  0.135118   0.764747\n",
      "3        1.522185  0.135118   0.764747\n",
      "21      -1.450418  0.154034   0.764747\n",
      "17      -1.426675  0.160731   0.764747\n",
      "29       1.388520  0.171969   0.764747\n",
      "14      -1.374733  0.176175   0.764747\n",
      "35       1.346543  0.185023   0.764747\n",
      "34      -1.272159  0.209999   0.764747\n",
      "28      -1.186946  0.241618   0.764747\n",
      "20      -1.150621  0.256103   0.764747\n",
      "44       1.134779  0.262612   0.764747\n",
      "39       1.091886  0.280826   0.764747\n",
      "19       1.064878  0.292740   0.764747\n",
      "6       -1.026873  0.310093   0.764747\n",
      "30      -1.009096  0.318446   0.764747\n",
      "22      -0.979768  0.332557   0.764747\n",
      "8        0.961218  0.341695   0.764747\n",
      "5        0.913802  0.365801   0.768599\n",
      "11       0.871997  0.387943   0.768599\n",
      "12       0.856685  0.396261   0.768599\n",
      "46      -0.833923  0.408829   0.768599\n",
      "10       0.743920  0.460879   0.770890\n",
      "42       0.727179  0.470968   0.770890\n",
      "15      -0.689258  0.494280   0.770890\n",
      "43       0.688272  0.494895   0.770890\n",
      "7        0.655712  0.515424   0.770890\n",
      "40      -0.646396  0.521381   0.770890\n",
      "26      -0.640978  0.524862   0.770890\n",
      "25      -0.545561  0.588123   0.837630\n",
      "32       0.472819  0.638680   0.843682\n",
      "37       0.472819  0.638680   0.843682\n",
      "38       0.462187  0.646225   0.843682\n",
      "0        0.430686  0.668799   0.849556\n",
      "31       0.341726  0.734184   0.892552\n",
      "36       0.318911  0.751303   0.892552\n",
      "4        0.307890  0.759619   0.892552\n",
      "9        0.235114  0.815211   0.922751\n",
      "41       0.187732  0.851950   0.922751\n",
      "2       -0.182093  0.856346   0.922751\n",
      "23      -0.156014  0.876736   0.922751\n",
      "27      -0.147406  0.883485   0.922751\n",
      "24       0.065195  0.948314   0.963776\n",
      "45       0.045675  0.963776   0.963776\n"
     ]
    }
   ],
   "source": [
    "fdr2 = ols_model.outlier_test(\"fdr_bh\")\n",
    "fdr2.sort_values(\"unadj_p\", inplace=True)\n",
    "print(fdr2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Let's delete that line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "l = ax.lines[-1]\n",
    "l.remove()\n",
    "del l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weights = np.ones(len(X))\n",
    "weights[X[X[\"log.Te\"] < 3.8].index.values - 1] = 0\n",
    "wls_model = sm.WLS(y, X, weights=weights).fit()\n",
    "abline_plot(model_results=wls_model, ax=ax, color=\"green\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* MM estimators are good for this type of problem, unfortunately, we do not yet have these yet. \n",
    "* It's being worked on, but it gives a good excuse to look at the R cell magics in the notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "yy = y.values[:, None]\n",
    "xx = X[\"log.Te\"].values[:, None]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note**: The R code and the results in this notebook has been converted to markdown so that R is not required to build the documents. The R results in the notebook were computed using R 3.5.1 and robustbase 0.93."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```ipython\n",
    "%load_ext rpy2.ipython\n",
    "\n",
    "%R library(robustbase)\n",
    "%Rpush yy xx\n",
    "%R mod <- lmrob(yy ~ xx);\n",
    "%R params <- mod$coefficients;\n",
    "%Rpull params\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```ipython\n",
    "%R print(mod)\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```\n",
    "Call:\n",
    "lmrob(formula = yy ~ xx)\n",
    " \\--> method = \"MM\"\n",
    "Coefficients:\n",
    "(Intercept)           xx  \n",
    "     -4.969        2.253  \n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-4.969387980288108 2.2531613477892365\n"
     ]
    }
   ],
   "source": [
    "params = [-4.969387980288108, 2.2531613477892365]  # Computed using R\n",
    "print(params[0], params[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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O+vPPP0OhUGDy5Mmora01fAUFBaFnz54mreG+vr649tprm1XT+vXrMWfOHLzwwguYMWOG4f74+Hhs3boV8+bNw86dO1FRUVHvNSZNmmR0Wz/S8scffxjdf+2118LX17dZdeopFAqMHz/e6L4ePXogNTXVcHvXrl3w9PTE6NGjjY6bOHGi0W1BEIxeX6kuhwEDBsDR0dFwPV9fX/z4448mraONER8fj8LCQkycOBE//vgjLl68KHlMQ697YmIizpw5Y3jN69Y+duxYZGVl4ezZs02urakEie4PKYcPH8bNN98MPz8/qFQqODo6YurUqdBqtTh37hwAcVS3qqoKd911l9G5AwYMqHel6DvuuEPy/lWrVqFPnz5wcXGBg4MDHB0d8fvvv+P06dMmx44dO9aoVbdLly4AgHHjxhkdp78/LS2t3ud59uxZZGZmYsqUKUbX9PDwwB133IH9+/ebTAFpDGdnZ/zwww84deoUli1bhgkTJiAvLw+vv/46unTp0uif9Y4dO3D99dfD29vb8HN46aWXkJ+fb9LK36NHj2Z1ilhSr1694OTkhAcffBBffPGFybSfhlRWVuL333/HbbfdBjc3N5PfmcrKSuzfv9/onPreX+byyiuvAAAmT57cpNfaz88Pjo6Ohq8NGza0uBb97/KV3RB1/3+1detW3HvvvZg1a1a9C80RUdvGkE5ENqtLly7o16+fyZe3t7fRcTk5ORAEAYGBgUb/IHN0dMT+/ftNwl1wcHCz6vnjjz8wbdo0TJ06Fa+++qrRY++++y7mzp2LjRs3YuTIkVCr1bj11ltNth9zcHCAn5+f0X1BQUEAYNIa39w663JzczNpAXV2dkZlZaXhdn5+vtF0AL0r79u1a5fJ61t3Dixw+R+qO3bswEMPPYTTp0+bhP3GmjJliqGF+o477kBAQAD69++P7du3G4652uuunwv/zDPPmNT+yCOPAIBk+Dc3/Yci7du3r/eYtLQ0DB06FBkZGVixYgX+/PNPHDx40DAPWP8BhP590pifmZ7Ue2np0qWYOXMm+vfvjw0bNmD//v04ePAgRo8eLfkhk1qtNrrt5OTU4P1132NX0j8Hqbrat28PnU7Xoh0BunTpgieffBLr1q1DWloali5divz8/Hrngtd14MAB3HjjjQCATz75BHv37sXBgwfx/PPPA4DJa9PY31N967x+CoglRUdH47fffkNAQABmzZqF6OhoREdHY8WKFVc9Nz8/H7W1tVi5cqXJ78zYsWMBmP7OWPo10E890r+36goLCwMAow8e9Xbu3ImDBw9i1apVV/0e/v7+cHNzu2ptKSkpcHNzM3nf1/3/1ejRo/HRRx/hxhtvxJw5c1BYWHjV709EbQvnpBOR3fP394dCocCff/5p+MdcXVfe15z5oMeOHcOtt96K4cOH45NPPjF53N3dHQsXLjRsI6Qf3R0/frzR/ry1tbXIz883CurZ2dkAYBLeperUB+4rF35rSdD08/PDgQMHTO7X16XXt29fHDx40Oi+K0On/h+qADBy5EhotVp8+umn+O6773DnnXcankNRUZHJ95N6DtOnT8f06dNRVlaG3bt3Y8GCBbjppptw7tw5REREXPV19/f3ByDOmb399tsln79+XQFL0s/PbmjRs40bN6KsrAzff/89IiIiDPdfuSe4/n1SdzE+vezsbMnRdKn30rp16zBixAh8+OGHRvdL7elubvrnkJWVZfJYZmYmlEpli7tI9BQKBZ566im88sorOHHixFWP/+abb+Do6Iiff/7Z6AOujRs31nv9xujXrx/UajV+/PFHwwJlTVX397/u32tSvztDhw7F0KFDodVq8c8//2DlypV48sknERgYiAkTJtT7PXx9faFSqTBlyhTMmjVL8pioqCij2419LqNGjcLHH3+MjRs3Yt68eY0652rat2+Prl27Yvv27aisrDT6mfXq1QsAUFpaetXrqFQqjBw5Etu2bcOFCxck56VfuHAB//77L8aMGXPVRegAscvil19+wblz5xAfH9/4J0VEdo8j6URk92666SYIgoCMjAzJkffu3bs36jrOzs6SI4hpaWkYM2YMOnTogA0bNpis1nulwMBATJs2DRMnTsTZs2dN2na/+uoro9tff/01gIYDnJ4+gB07dszo/qst0tWQ4cOHo6SkBFu3bjW6/5tvvjG67enpafLaSo1s1fXmm2/C19cXL730EnQ6neE5nDt3zuiDhvz8fPz111/1Xsfd3R1jxozB888/j+rqapw8edLkGKnXvVOnToiNjcXRo0cl3xv9+vWDp6fnVV+jljh69CgWLVqEyMhIkxb1uvRBp274EgTB5EOh/v37w9nZ2WileEBsg5caTWzo+135AdaxY8eMVle3lE6dOiEkJARff/210VSAsrIybNiwwbDie1NJhX5ADP7FxcVGHyrV9/uuUCjg4OBgFMIqKiqwdu3aJtdTl6OjI+bOnYszZ86YdOLo5ebmYu/evfVeo77f/ysXnaxLpVKhf//+ho6MQ4cOAbj8PrvyNXBzc8PIkSNx+PBh9OjRQ/J35soPFBvrlltuQffu3bF48eJ6PzD55ZdfmjzV4fnnn8fFixcxe/bsRk8tkTJ//nwIgoBHHnnEZE91rVaLmTNnQhAEzJ8/v1HX03/Apl+Qj4hIjyPpRGT3Bg8ejAcffBDTp0/HP//8g2HDhsHd3R1ZWVnYs2cPunfvjpkzZ171Ot27d8c333yDb7/9Fh06dICLiwu6d++OMWPGoLCwEO+9955JOIyOjka7du3Qv39/3HTTTejRowd8fX1x+vRprF271iRsODk54Z133kFpaSmuueYaw+ruY8aMaXDrJb2goCBcf/31WLx4MXx9fREREYHff/8d33//fdNfuEvuvfdeLFu2DJMnT8Zrr72GmJgYbN26Fb/88guAlm0Z5Ovri/nz52POnDn4+uuvMXnyZEyZMgUfffQRJk+ejBkzZiA/Px9vvvmmyardM2bMgKurKwYPHozg4GBkZ2dj8eLF8Pb2xjXXXAMAjXrdP/roI4wZMwajRo3CtGnTEBISAo1Gg9OnT+PQoUP43//+1+znd6V///0X3t7eqKmpQWZmJn7//XesXbsWAQEB2LRpU4Mfatxwww1wcnLCxIkTMWfOHFRWVuLDDz80aftWq9WYPXu24T1w22234cKFC1i4cCGCg4Mb/fO66aab8Oqrr2LBggUYPnw4zp49i1deeQVRUVGS6w2Yk1KpxJtvvolJkybhpptuwkMPPYSqqiq89dZbKCwsbNQWV1IefPBBFBYW4o477kC3bt2gUqlw5swZLFu2zLCLg1737t3x/fff48MPP0Tfvn2hVCrRr18/jBs3DkuXLsU999yDBx98EPn5+Xj77bclu3Sa6tlnn8Xp06exYMECHDhwAPfccw/CwsJQVFSE3bt34+OPP8bChQsxePBgyfPHjh0LtVqN+++/H6+88gocHBywZs0apKenGx23atUq7NixA+PGjUN4eDgqKysNuwNcf/31AMQP3SIiIvDjjz/iuuuug1qthr+/PyIjI7FixQoMGTIEQ4cOxcyZMxEZGYmSkhIkJiZi06ZN2LFjR7Oev0qlwg8//IAbb7wRAwcOxMyZMzFy5Ei4u7sjNTUV3333HTZt2tTkqQ4TJ07EyZMn8frrr+Po0aOYNm0aYmNjodPpkJ6ebviA5WofyA0ePBjLly/Hk08+iSFDhuDRRx9FeHg40tLS8P777+Pvv//G8uXLMWjQIJNzT5w4Yfi9yc/Px/fff4/t27fjtttuM+o8OHXqlGGHiuzsbJSXl+O7774DAMTFxSEuLq5Jz52IbJRcK9YRETWXfrXcgwcPSj5e34q4q1evFvr37y+4u7sLrq6uQnR0tDB16lThn3/+MRwzfPhwoWvXrpLXTUlJEW688UbB09PTaAV5NLDKvH7l83nz5gn9+vUTfH19BWdnZ6FDhw7CU089JVy8eNFw/XvvvVdwd3cXjh07JowYMUJwdXUV1Gq1MHPmTKG0tNSoFgDCrFmzJOvMysoS7rzzTkGtVgve3t7C5MmThX/++UdydXd3d3eT86VWiE5LSxNuv/12wcPDQ/D09BTuuOMOYcuWLQIA4ccff5Sso66GfmYVFRVCeHi4EBsbK9TW1gqCIAhffPGF0KVLF8HFxUWIi4sTvv32W5PVzr/44gth5MiRQmBgoODk5CS0b99euOuuu4Rjx44ZjmnM6y4IgnD06FHhrrvuEgICAgRHR0chKChIuPbaa41W2jbH6u6os7JzcHCwcOONNworVqwQiouLTc6RWt1906ZNQs+ePQUXFxchJCREePbZZ4WtW7ea1KXT6YTXXntNCA0NFZycnIQePXoIP//8s9CzZ0+jldkbWhm9qqpKeOaZZ4SQkBDBxcVF6NOnj7Bx40aTuvSru7/11ltG59d37av9/ta1ceNGoX///oKLi4vg7u4uXHfddcLevXsb9X2k/PLLL8J9990nxMXFCd7e3oKDg4MQHBws3H777cK+ffuMjtVoNMKdd94p+Pj4CAqFwujnvHr1aqFTp06G99TixYuFzz77zGgFdUEQV3cfN27cVeu60o8//iiMGzdOaNeuneDg4CD4+voKI0eOFFatWiVUVVUZjoPE6usHDhwQBg0aJLi7uwshISHCggULhE8//dSotn379gm33XabEBERITg7Owt+fn7C8OHDhZ9++snoWr/99pvQu3dvwdnZWQAg3HvvvYbHkpOThfvuu08ICQkRHB0dhXbt2gmDBg0SXnvtNcMxTfnZ1FVYWCi8+uqrQp8+fQQPDw/B0dFRCA8PFyZPnmzy86/7WtT3d6Le7t27hbvvvlsIDQ0VHB0dBTc3NyEuLk6YOXOm0f8Hrmbfvn3CnXfeKQQGBgoODg5CQECAcPvttwt//fWXybFSq7t7e3sLvXr1EpYuXWqykv2Vf1fU/ZJaaZ+I7JNCEFrQ90NERGYzbdo0fPfdd42aH2kNFi1ahBdeeAFpaWn17htM1iM5ORmdO3fGggUL8Nxzz8ldDhEREdWD7e5ERHRV+m2COnfujJqaGuzYsQPvvvsuJk+ezIBuhY4ePYr169dj0KBB8PLywtmzZw1TBu6//365yyMiIqIGMKQTEdFVubm5YdmyZUhJSUFVVRXCw8Mxd+5cvPDCC3KXRhLc3d3xzz//4LPPPkNhYSG8vb0xYsQIvP766/Vuw0ZERETWge3uRERERERERFaCW7ARERERERERWQmGdCIiIiIiIiIrwZBOREREREREZCXa3MJxOp0OmZmZ8PT0hEKhkLscIiIiIiIisnOCIKCkpATt27eHUtnwWHmbC+mZmZkICwuTuwwiIiIiIiJqY9LT06+6fW2bC+menp4AxBfHy8tL5mqIiIiIiIjI3hUXFyMsLMyQRxvS5kK6vsXdy8uLIZ2IiIiIiIhaTWOmXHPhOCIiIiIiIiIrwZBOREREREREZCUY0omIiIiIiIisBEM6ERERERERkZVgSCciIiIiIiKyEgzpRERERERERFaCIZ2IiIiIiIjISjCkExEREREREVkJhnQiIiIiIiIiK8GQTkRERERERGQlGNKJiIiIiIiIrARDOhEREREREZGVYEgnIiIiIiIishIM6URERERERERWgiGdiIiIiIiIyEowpBMRERERERFZCYZ0IiIiIiIiIivBkE5ERERERERkJRjSiYiIiIiIiKwEQzoRERERERGRlWBIJyIiIiIiIrISsof0jIwMTJ48GX5+fnBzc0OvXr3w77//1nv8zp07oVAoTL7OnDnTilUTERERERERmZ+DnN+8oKAAgwcPxsiRI7F161YEBAQgKSkJPj4+Vz337Nmz8PLyMtxu166dBSslIiIiIiIisjxZQ/qSJUsQFhaGzz//3HBfZGRko84NCAhoVJgnIiIiIiIishWyhvSffvoJo0aNwn/+8x/s2rULISEheOSRRzBjxoyrntu7d29UVlYiLi4OL7zwAkaOHCl5XFVVFaqqqgy3i4uLzVY/WUBVFVBefvmrtBQoLARqawGtVvwCAJVK/HJyAry9AQ8PwM3t8peTk6xPg4iIiIiIqDlkDennz5/Hhx9+iNmzZ+O5557DgQMH8Pjjj8PZ2RlTp06VPCc4OBgff/wx+vbti6qqKqxduxbXXXcddu7ciWHDhpkcv3jxYixcuNDST4Waq7wcuHgRyMkB8vLE21VV4hcAKJVi4FYqxS+FQrxfEACdTvw6f168rVCIx7q4AO7uQLt2QEAA4O8PuLrK9xyJiIiIiIgaSSEIgiDXN3dyckK/fv3w119/Ge57/PHHcfDgQezbt6/R1xk/fjwUCgV++uknk8ekRtLDwsJQVFRkNKedWlFJiRjMMzPFr5ISMWC7uwPOzmLIdnK6HMgbSxAuB/zKSjHwA4CnJxASAgQHi4Hdw8P8z4mIiIiIiKgexcXF8Pb2blQOlXUkPTg4GHFxcUb3denSBRs2bGjSdQYMGIB169ZJPubs7AxnZ+dm10hmUlMDXLgApKQAublAWRng4CC2qkdEiK3rLaVQiAHfxUW8LiC2x5eUAAkJwOnTYkAPDBS/Z2ioWAMREREREZGVkDWhDB48GGfPnjW679y5c4iIiGjSdQ4fPozg4GBzlkbmUlUFpKcD584B2dmX55AHBDR9pLw5VCrAx0f80unEOe6pqWKLfFAQ0KmTGNY5h52IiIiIiKyArCH9qaeewqBBg7Bo0SLcddddOHDgAD7++GN8/PHHhmPmz5+PjIwMfPnllwCA5cuXIzIyEl27dkV1dTXWrVuHDRs2NHn0nSysogJISwPOnBFb293dgfBweUeulUrAy0v8qqkR58D/8Yc4st6pExAWJo7CExERERERyUTWkH7NNdfghx9+wPz58/HKK68gKioKy5cvx6RJkwzHZGVlIS0tzXC7uroazzzzDDIyMuDq6oquXbti8+bNGDt2rBxPga5UXQ0kJooj5/n5Ynt5ZKR52tnNydERaN9ebIfPywN27xbnq3fuDHToID5ORERERETUymRdOE4OTZmwT02UnQ0cOya2t3t5AX5+4ui1LdBqxQ8VSkrEEf+ePcWWfCIiIiIiohaymYXjyE5UVopt7SdPimE3IsL2FmRTqcRQ7usLZGSILfpdu4oj65yvTkRERERErcTGkhRZFUEAsrKAo0fFYNuu3eVV1W2Vo6PYnl9YCBw8KD6/nj3FReaIiIiIiIgsjCGdmqeyUhw5P31aDOtRUdY377wlfHzE+fSZmcDvv4uj6nFxHFUnIiIiIiKLYkinpisuFkeZU1LEldE9POSuyDIcHMT56cXFwL//iqPr/frZ7/MlIiIiIiLZMaRT0+TmAgcOiP+1xbnnzeHlJW7NlpQElJcD/fuLi+IRERERERGZmY0svU1WISUF2LUL0GjEedttIaDrOTmJzzk3F9i5U1zBnoiIiIiIyMwY0unqdDpx/vmff4qrt4eH287WauakUondA1VV4r7qZ86Irw0REREREZGZtMGkRU1SUwP88w/w99+ApydXOVcogPbtAVdXYN8+4PBhoLZW7qqIiIiIiMhOtKF+ZWqy2lpxwbSTJ4HgYMDNTe6KrIdaLbbAHzkijqb36WNfq9sTEREREZEsGNJJmlYrjhKfPHl55JiMeXiII+vHjokBvVevtjkNgIiIiIiIzIaJgkzpdMDRo2L4DApiQG+Iu7u4Dd3Ro8Dx4+Ke8URERERERM3EkXQyJghi2DxyRAyf7u5yV2T9PDzEDzYOHRJXvI+LE0fYiYiIiIiImoghnS4TBODUKTFs+vuL4ZMax8tLDOr//iu2vnfuLHdFRERERERkgxjS6bKzZ8WQ6esrhk5qGh8fMagfPCiOqMfEyF0RERERERHZGM5JJ1FGhhjQPTzEsEnNo1YDLi7itnXZ2XJXQ0RERERENoYhnYDiYjFUAmLIpJZp1w6orhY/9CgtlbsaIiIiIiKyIQzpbV1NjTgHPT9f3AudzCM0VBxJP3xY3G+eiIiIiIioERjS2zL9Su6JiWKo5B7f5qNUiq/puXPiYnxERERERESNwFTWlqWkACdOiFutOTnJXY39cXYWV8k/dgxIS5O7GiIiIiIisgEM6W1Vfr44Z9rZGfD0lLsa++XtLY6q//svUFgodzVERERERGTlGNLbosrKy4uaBQTIXY39Cw4WA/q//4oLyhEREREREdWDIb0tOn1abL8OCwMUCrmrsX8KhTg/PSVFnKNORERERERUD4b0tiYrS1zILCAAUKnkrqbtcHQUt7c7cQLIy5O7GiIiIiIislIOchdAraiqSlzETKsFvLzkrqZFCktL8dLq1Th49iySs7JQUFoKf29vdAoLw6xbbsHtw4ZBUadL4JOff8ZPf/2FE8nJyC0shINKhcjAQNwyeDCevPNOqFvj9fD1BZKTxZ/BsGFicCciIiIiIqpDIQiCIHcRram4uBje3t4oKiqCl40H1SY7dgw4eBCIiAAcbPvzmcSMDPR64AEMiItDTEgI1J6eyC0sxKZ9+5BbUIAZ48bh42eeMRw/7IknUFBSgt4xMQj280NVTQ32nzqFv0+fRnhgIP7+4AMEqdWWL7ymRpxqMGgQ0KWL5b8fERERERHJrik5lCG9rcjPB7ZvB1xcAB8fuatpMa1WCwGAwxUt+yXl5RjwyCM4lZqKE6tXo2tUFACgsroaLhLbzL24ejVeW7sWz9x9N956+OHWKF38Weh0wA032MXPgoiIiIiIGtaUHMo56W2BVivOha6osJtQqFKpTAI6AHi6uWHUNdcAEEfb9aQCOgD8Z/hwk2MtTq0GSkqAkyfFsE5ERERERHQJQ3pbkJoKnD8PtG8vdyUWV1ldjR2HD0OhUCAuMvKqx2/evx8A0O3SiHurUCjEbdkSE4ELF1rv+xIRERERkdWz7YnJdHUVFcDx44CrK+DsLHc1ZldYWorl330HnU6H3MJCbPn7b6Tn5mLBvfciNjTU5Pg127YhJTsbJeXlOJSQgJ1HjqB3bCxm/+c/rVu4q6u4LsDx40BgoF3+bIiIiIiIqOkY0u1dcjJw8SLQmiPFraiwtBQLv/jCcNvRwQFvPfwwnr7rLsnj12zbhl1Hjxpu39ivH9Y+9xx8PT0tXquJoCBx7/TUVKBjx9b//kREREREZHW4cJw9KysDfvlFnPfs7y93NRal1WqRnpeHb3bswII1azBuwAD8d8ECyXnrAHCxqAh/nzqFOR99hKKyMmx54w30iI5u5aoB5OSIi/mNGiX+l4iIiIiI7A4XjiNRUhKg0YgLldk5lUqFyKAgzLvnHrx233344c8/8cnPP9d7vL+3N8YNHIhtb76Ji0VFmPH2261Ybd1C/MVOh+Rkeb4/ERERERFZFYZ0e1VSApw9KwZ0Zdv6Md/Yrx8AYOeRI1c9NiwgAF0iInDw7FmUV1ZauDIJKhXg5QWcOQOUl7f+9yciIiIiIqvSttJbW5KUBBQVAb6+clfS6jLz8wGY7qFen6z8fCgUCqjk+jDDz0/seDh/Xp7vT0REREREVoMh3R4VFQHnzomt1AqF3NU0iVYn4GRGEfYk5uFkRhG0OuklE44kJqKotNTkfk1xMZ779FMAwJj+/QEA+UVFOCnRTi4IAl5eswY5BQUY2asXnOvZS93ilEpx//ozZwCJ50RERERERG0HV3e3RwkJYrt7hw5yV9IkB5LzseavFGjKqg33qd2dMG1QJOKj/IyOXbNtGz7dvBkje/dGRGAg3F1ckJqTg83796O0ogJ3DBuGe667DgCQnpeH3jNmIL5zZ8RFRiJIrcbFoiL8eewYzqanI0itxvtPPNGqz9WEWi12PyQlAT17ylsLERERERHJhqu725uCAnFFd1dXwNtb7moa7UByPpZuP1fv47Nv6GgU1PccP47PtmzB/lOnkJmfj/LKSqi9vNAnNhZTb7wRE669FopLXQQFJSV465tvsPPoUSRlZkJTXAwXJyfEhoZi3IABePKOO+BnDa9VQQFQWyuu9G6P700iIiIiojaqKTmUId3eHDkC/PsvIMd2Ys2k1Ql4bP0hoxH0K6ndnbByYh+olLbVvt8kgiDOSx8wAOjaVe5qiIiIiIjITLgFW1tVXi62S9vYYnFnsoobDOgAoCmrxpms4laqSCYKhTiCnpgIVFXJXQ0REREREcmAId2eZGYChYXiImQ2pKCi4YDe1ONsmloN5OeLP0siIiIiImpzGNLthVYrjsC6utrcvui+ro1bVb2xx9k0lQpwchLb3nU6uashIiIiIqJWZltpjuqXkyN++fvLXUmTdQ72gtq94QCudndC52A7XENAir+/OJKelyd3JURERERE1MoY0u1FSoo48irXXt8toFIqMG1QZIPHTBsUad+LxtXl4iKu8p6aKnclRERERETUyhjS7UFhIZCWZpOj6HrxUX6YfUNHkxF1tbuTyfZrbYJaLYb0khK5KyEiIiIiolbkIHcBZAYXLgClpUBQkNyVtEh8lB/6RqhxJqsYBRXV8HUVW9zbzAh6XV5e4rz0jAygc2e5qyEiIiIiolbCkG7rqqrEBeO8veWuxCxUSgW6htjHc2kRhQLw8AASEsQ97x0d5a6IiIiIiIhaAdvdbV1uLlBQILZHk31RqwGNBrh4Ue5KiIiIiIiolTCk2zr9ftoqlbx1kPk5OoqLAWZlyV0JERERERG1EoZ0W1ZRIc5H9/GRuxKyFE9PcVHA6mq5KyEiIiIiolbAkG7L8vKAoiJxkTGyTz4+4ur9bHknIiIiImoTGNJtWWYmoFSy1d2eOTgAgsCWdyIiIiKiNoIh3Vax1b3t8PIS90xnyzsRERERkd1jSLdVublAcbE4Z5nsm4+POK0hL0/uSoiIiIiIyMIY0m1VZqbY5s5Wd/un/xnrV/InIiIiIiK7xZBui8rL2ere1nh7A+npQFWV3JUQEREREZEFMaTboosXgdJStrq3Jd7eYss7V3knIiIiIrJrDOm2KD9f/K+SP742Q6USV3kvKJC7EiIiIiIisiCmPFuj04lzk93d5a6EWpubG5CRIYZ1IiIiIiKySwzptqa4WGx7Zqt72+PhIY6kl5bKXQkREREREVkIQ7qtKSgQ90h3cZG7Emptbm7iooFseSciIiIislsM6bYmLw9wcAAUCrkrodamVIo/d41G7kqIiIiIiMhCGNJtSW0tkJXF+ehtmbu7OC9dp5O7EiIiIiIisgCGdFtSWAiUlHA+elvm6SmuSVBcLHclRERERERkAQzptqSwEKiqApyd5a6E5OLiIq5JwHnpRERERER2iSHdluTkAI6OcldBclIoxD3T8/LkroSIiIiIiCyAId1W1NYCubniNlzUtrm7A9nZnJdORERERGSHGNJtRWmpuP2Wq6vclZDc9FuxlZXJXQkREREREZkZQ7qtKCkR56Nzf3TSz0svLZW7EiIiIiIiMjOGdFuhD2TcH51UKkAQGNKJiIiIiOwQQ7qtyM/nonF0mUrFFd6JiIiIiOwQQ7ot0GrFkO7mJnclZC1cXYGLF8URdSIiIiIishsM6bagrIyLxpExV1ex3b2iQu5KiIiIiIjIjBjSbUFpKVBZyUXj6DI3NzGgl5TIXQkREREREZkRQ7otKC0V25qV/HHRJSoVUFvLxeOIiIiIiOwMU58t0GgABwe5qyBro1QCRUVyV0FERERERGbEkG7tBEFcNI7z0elK+sXjiIiIiIjIbnB41trV1Ihzj52c5K6k1WXk5eF/u3Zhy99/40xaGrI1Gqg9PTG4WzfMmTAB/ePiTM75+9QpLPrqK+w9cQIlFRWICAzEhJEjMX/SJLg6O8vwLCzIyUlcVFCrFdvfiYiIiIjI5jGkW7uKCqC6GnB3l7uSVrfyhx+wZP16RLdvjxv69kWAry8SLlzAxj17sHHvXqx/4QXcNXKk4fjvd+/G3a+8ApVSiTuGDUOQWo29J07g1bVrsePwYfz+zjtwtqcPO/QhvbKyTb4/iIiIiIjsEUO6tausFEO6PYXLRorv3Bm7V6zA0B49jO7/89gxXPf005i5fDluGTwYzk5OqKiqwkNLl0KhUGDvypXo26kTAEAQBDz27rt4f+NGLPvuO8y75x45noplODkBBQUM6UREREREdoRz0q1dZSWg07XJdubbhw0zCegAMLRHD4zs1Qua4mIcT04GAOw9cQIXi4pw6+DBhoAOAAqFAq/dfz8AYNVPP0EQhNYpvjU4OoorvFdWyl0JERERERGZCUO6tWMAk+R4abV7h0sfXuRoNACAqOBgk2N9PDzg6+mJ1JwcnM/MbL0iLU2hEBcWrKiQuxKiFlMoFFAoFK3yvaZNmwaFQoE1a9a0yvcjIiIiagqGdGtXXi6GMTJIy8nBb//+iyC1Gt2jogAA7Xx8AADJWVkmxxeVlqKgpAQAcO7ChVars1UoFPwgh5olMjLSEIz1Xy4uLoiKisLkyZNx8OBBuUu0e2vWrMHLL7+MlJQUuUshIiIiK8KQbu2Ki9vkfPT61NTWYsqiRaiqqcGbDz0E1aWR9EHdusHL3R0b9+7F4YQEo3NeXL3a8OfC0tJWrdfiHBzE9whRM8XGxmLw4MEYPHgwYmNjkZ2dja+++goDBw7E2rVr5S7PIoKDg9GpUyd4e3vLWseaNWuwcOFChnQiIiIywpBuzQSBIb0OnU6H+958E7uPHcOMceMw5cYbDY95uLpi6cyZqKmtxcBZszD59dfxzIcfYtCjj+Kjn39G5/BwAIBKaWdveScnhnRqkeeeew579uzBnj17cPz4cWRmZuLOO++EVqvFrFmzUFBQIHeJZrd48WKcOXMGt912m9ylEBEREZmws8RiZ6qrxVZmhnQIgoAZb7+Nddu3Y/INN2DV7Nkmx9w/bhy2vPEGBnbtih/37sUHP/4IB5UKv7/zDmJCQgBcbou3G05O4pSI2lq5KyE74evri88++wzu7u4oKSnBr7/+KndJRERERG0KQ7o102+/5uwsdyWy0ul0uP/NN7F661ZMvPZarJk7F8p6RsTH9O+PP5YtQ8mWLSjftg27V6zAkO7dcSI5GUqlEn1iY1u5egtzcrr8YQ6RmXh5eaFjx44AUG8r9i+//IKbb74ZgYGBcHZ2RmhoKKZPn46kpKR6r3vs2DHccsst8PX1hYeHB/r3749vvvmmRbXm5ubioYceQvv27eHi4oLOnTtj8eLFqK2txYgRI6BQKLBz506jc+pbOK6iogLr16/HhAkT0KlTJ3h4eMDDwwO9evXCa6+9hrKyMska9PP7U1JSsH//fowZMwa+vr5wd3fH0KFDsWPHDqPjd+7cCYVCgV27dgEARo4cabQ2QN26Tpw4gUmTJiEsLAxOTk7w8fFBbGws7rnnHmzbtq1Frx0RERFZJ+6Tbs2qq8URUkdHuSsxK61OwJmsYhRUVMPX1Qmdg72gUkovjqfT6fDAW2/h823bcPfIkVj73HOGeeiNtff4caRkZ2Ns//7w9vAwx1OwHvpt2Kqr5a6E7Ex5eTkAwM3NzeSxJ598EitWrAAABAQEoGvXrkhKSsKaNWvw/fffY+vWrRg0aJDRObt378bo0aNRUVEBLy8vdOnSBWlpaZg4cSLS09ObVeOFCxcwePBgpKWlwdHREd26dUNZWRmee+45/P33302+3r///ot77rkHDg4OCAoKQpcuXVBUVISTJ0/i6NGj+OGHH7Bnzx64urpKnv/zzz9j9uzZ8PLyQnR0NBITE7Fnzx6MGjUK27dvx4gRIwAA3t7eGDx4MI4fP47i4mJ069bNaH58YGAgAODAgQMYMWIEKioq4O3tjbi4OGi1WqSnp2P9+vUoLy/H6NGjm/7CERERkVXjSLo1q60FtFrAjuZRH0jOx2PrD+HVzafw3o5EvLr5FB5bfwgHkvNNjtXpdLj/UkD/z/DhWPf88w0G9GKJUa7MixfxwNtvw0Glwqv33WfW52IVVCrxPcJ2dzKjhIQEw4h4r169jB776KOPsGLFCkRFReGPP/5ATk4ODh06BI1Gg9deew3FxcW4++67UVmnu6OsrAyTJk1CRUUFpk6diqysLBw8eBAZGRl455138PzzzzerzocffhhpaWno168fzp8/j0OHDuHs2bPYvXs3du3ahb/++qtJ1wsLC8N///tfFBQUID09HQcPHsS5c+eQnp6OO++8E4cOHcKbb75Z7/mzZ8/GK6+8gpycHPzzzz/Iy8vDpEmTUFtbi3nz5hmO6927N/bs2YPevXsDAFauXGlYF2DPnj0YM2YMAODVV19FRUUFnnvuOeTm5uLIkSM4fvw4CgsLcfDgQdx1113NeNWIiIjI2nEk3Zrpg5edbMF2IDkfS7efM7lfU1aNpdvPYfYNHREf5We4/5Uvv8Sabdvg4eqKjmFheE1ipelbhwxBr5gYAMC733+Pddu3Y0j37gjw8UF6Xh5+3LsX5ZWV+OzZZ9HnUvuuXVEqAZ2OIZ3Mori4GAcOHMATTzyB2tpaDB48GEOHDjU8Xl1djZdffhkqlQobNmwwhEwAUKlUeP7553H48GFs2LAB//vf/zBlyhQAwDfffIMLFy4gJCQEn376KRwvdQcplUrMnj0bu3btwk8//dSkWs+ePYvNmzfD0dER//3vfxEaGmp4bOjQoVi2bBmmT5/epGtGREQgIiLC5P6goCB8+eWX+Omnn/DVV19hwYIFkuePHj3aKIw7Ojpi+fLl+O677/D333+joKAAvr6+ja4n4dJOFXPnzoXTFWuT9OvXD/369Wv0tYiIiMh2MKRbMzsKXlqdgDV/pTR4zJq/UtA3Qm1ofU/JzgYAlFZU4PV16yTPiQwKMoT0QV27YtfRo9i0bx8KSkrg5+WFsf37Y+7Eiehtb3PR9RQKcRcAO3qvUOuaPn26SZhVKpW4++678eGHHxrdv2/fPmRnZ+Oaa64xCuh13XzzzdiwYQN27dplCOm//PILAOD+++83BPS6HnnkkSaH9O3btwMARowYgaioKJPHJ0yYgEceeQQVFRVNuq5Op8OmTZvw66+/4vz58ygtLYUgCAAAhUKBhIQElJeXS04DeOCBB0zu8/f3R2RkJM6ePYvz58+jb9++ja4lLCwMZ8+exX//+1/JaxMREZF9Yki3ZnYUvM5kFUNT1vC8aU1ZNc5kFaNriDg3c828eVhTZ1Tqaq7t0wfX9unTojptlh29V6h1xcbGIiAgAIIgIDs7G+fPn4ejoyOuueYak1Hf48ePAxAXkxsyZIjk9QoLCwEAGRkZhvvOnRM7aLp06SJ5Tn33N0Q/ytyjRw/Jx11cXBAbG4tjx441+pqFhYUYO3Ys9u3b1+BxBQUFkiE9Ojpa8viAgACcPXsWpaWlja4FEOf+//bbb5gxYwbeeecdjBo1CkOGDMHIkSPh5+d39QsQERGRTWJIt2Z2FLwKKhq3sFljj6Mr2NF7hVrXc889h2nTphlu7927F7feeiueeeYZBAYGYvLkyYbHioqKAAB5eXnIy8tr8Lp1R7D14bRdu3aSx+oXSmsK/Urrnp6e9R7T0GNSZs+ejX379qFTp05YtGgRBgwYAH9/f0OreWhoKDIyMlBTUyN5vru7u+T9+t0o9CPyjTVu3Dhs3rwZr7/+Ovbv348zZ85gxYoVcHBwwG233YZly5Yh5NL2kkRERGQ/7GdFMntUU2M389F9XRu313tjj6MrMKSTmQwePBiffPIJAOCJJ55AcXGx4TGPS7sjTJo0CYIgNPhVd9sz/Xn1Bfvc3Nwm16kPxA2NTpeUlDT6erW1tfjvf/8LAPjxxx9x++23o3379oaAXltbi+xLU3Ba09ixY7F3717k5eVh48aNeOyxx+Dj44P//e9/GD9+fL0fGBAREZHtYki3ZpWV4urddqBzsBfU7g0HcLW7uB0bNZFCIX6gY2Y6nQ7/+9//EB8fjy+//NLs1yfrdeutt2LAgAHQaDRYunSp4f64uDgA4t7dTaHfc/3MmTOSj58+fbrJNeqvWV87e1VVlaElvjHy8vJQVlYGtVqNTp06mTx+4sQJaLXaJtfZEEUTPoRVq9W45ZZb8O677+LEiRPw9vbG4cOH8c8//5i1JiIiIpIfQ7o1q6qym5CuUiowbVBkg8dMGxRZ737p1ACVSnyvmIk+nMfFxeGuu+7CwYMHcfjwYbNdn2yDfpXyd9991zBaPXToUPj7++Po0aNGI+VXc+ONNwIAPvvsM8mR3w8++KDJ9d1www0AgD/++AOpqakmj3/77bdNWjROv/d5cXGx5HkNbb3WXPrv2dTF7QIDAw2L5WVmZpq9LiIiIpIXQ7o1s6OQDgDxUX6YfUNHkxF1tbuTyfZr1AQqldh10UJXhnP9KKTUatxk/26++WZ06dIFBQUFhlXeXVxc8MorrwAA/vOf/+CHH34wmWd94sQJzJ07F3v37jXcN3HiRISEhODChQt46KGHDKFUEASsWLECW7ZsaXJ9HTt2xLhx41BTU4O77rrLKKzu3bsXTz31VJPeuz4+PujatStqa2vx1FNPobpaXB9Dq9ViyZIl+Pbbb022QWupDh06AAB27dol+fiECROwefNmQy163333HY4fPw6FQlHvKvtERERkuxjSrVl1tV2FdEAM6isn9sGL4+Lw6LUxeHFcHFZO7MOA3hIqlfheaab6wrlOpzNXhWSDFAoFnnnmGQDA0qVLUXnpg6CZM2di3rx5uHjxIm6//Xb4+/sjPj4effv2hZ+fH7p3744333zTaD64u7s71q5dC2dnZ3z++ecICgpCfHw82rdvjyeffBKvv/56s2pctWoVwsPDceDAAURGRqJv377o3LkzhgwZgiFDhmDgwIEAxD3cG2Px4sVQKBT46KOPEBwcjGuuuQZBQUGYN28enn/+eQQHBzerzvrcfffdAIAlS5agU6dOGD58OEaMGIFt27YBALZt24abbroJXl5e6N69u+E1+89//gOtVosXXnjBEPSJiIjIfjCkWzM7DUkqpQJdQ7wxJKYduoZ4s8W9pRSKZr1X9OG8a9euDOckafLkyWjfvj2ys7OxevVqw/2LFy/G3r17cc8998Dd3R1Hjx5FSkoKQkNDcd9992Hz5s247rrrjK41cuRI7N+/H+PHj4dCocCpU6cQFhaG9evX49lnn21WfaGhoThw4AAefPBB+Pn54eTJk9DpdHjllVfw3Xffoby8HEDjV3kfP348tm7dikGDBqGiogJnz55FTEwM1q1bZ+ggMKehQ4fi66+/Rnx8PDIyMrB7927s2rXLsEDdF198gQcffBCxsbHIzMzEsWPH4Obmhttuuw27du2ySE1EREQkP4XQ1D1hzCwjIwNz587F1q1bUVFRgY4dO+Kzzz5D37596z1n165dmD17Nk6ePIn27dtjzpw5ePjhhxv1/YqLi+Ht7Y2ioiJ4eVn5ImWbNokt7/7+cldC1iwnB/D2BkaPbtThOp0OGzZswIsvvoizZ89CqVQ2GMwdHR0xa9YsLFu2zFwVE1mcTqeDWq1GUVERNBqNyZ7vRERERK2pKTlU1n3SCwoKMHjwYIwcORJbt25FQEAAkpKS4OPjU+85ycnJGDt2LGbMmIF169Zh7969eOSRR9CuXTvccccdrVd8a+CIJjWGQgE04rM2qXCuv5/I3nz//fcoKipCXFwcAzoRERHZFFlD+pIlSxAWFobPP//ccF9kZGSD5+jnIC5fvhwA0KVLF/zzzz94++237S+kA3azTzpZ0FVCekvDuSAIWL58Od59912zlEuWcd111+HXX3+Vu4xWlZOTgy+++AL3338//Pwur2uxbds2Q3dVY7usiIiIiKyFrCH9p59+wqhRo/Cf//wHu3btQkhICB555BHMmDGj3nP27dtn2M5Hb9SoUYatfa5czbeqqgpVdbanKi4uNu+TsBR96GJIp8aoJ6SfO3cON998c4tGzmtra5t1HrWu5uw1busqKiowd+5czJs3D6GhoQgKCsKFCxeQlZUFABg3bhweeeQRmaskIiIiahpZF447f/48PvzwQ8TGxuKXX37Bww8/jMcffxxffvllvedkZ2cjMDDQ6L7AwEDU1tbi4sWLJscvXrwY3t7ehq+wsDCzPw+LkXe5ALIDOTk5SEtLg0KhYMgmuxMQEIAFCxYgPj4eVVVVOHLkCMrLyzF48GCsWrUKGzdubPTK7kRERETWQtaRdJ1Oh379+mHRokUAgN69e+PkyZP48MMPMXXq1HrPU1wxuqxf++7K+wFg/vz5mD17tuF2cXGx7QT1Rs41Jqqv42Lo0KFIS0vD0qVLsXz5clRVVTU5rKtUKmi1WnNUSRbU0Foe9srNzQ0vv/wyXn75ZblLISIiIjIbWUN6cHAw4uLijO7r0qULNmzYUO85QUFBhu1p9HJzc+Hg4GA0J1HP2dkZzs7O5im4NbHNnRpLEBp8v/j7+2PRokWYPXt2s8K6UqnEhAkTMGfOHHNVTBYQGhoqdwlEREREZAayhvTBgwfj7NmzRvedO3cOERER9Z4zcOBAbNq0yei+X3/9Ff369TOZj27zOJJOjdWID3VaEtbbtWuHHj16mKNSIiIiIiJqgKxz0p966ins378fixYtQmJiIr7++mt8/PHHmDVrluGY+fPnG7W+P/zww0hNTcXs2bNx+vRprF69Gp999hmeeeYZOZ6CZTGkU2NcZST9SvqwnpaWhrlz58LFxcWwqBwREREREclL1n+ZX3PNNfjhhx+wfv16dOvWDa+++iqWL1+OSZMmGY7JyspCWlqa4XZUVBS2bNmCnTt3olevXnj11Vfx7rvv2uf2a1zwiBpDEIBmhGx9WE9PT8fcuXPh6urKsE5EREREJDOFILStodri4mJ4e3ujqKgIXl5ecpfTsN9+Ay5eBIKC5K6ErFlGBhAWBgwb1qLLXLx4UbIN3tHREbNmzcKyZcvMUS0RERERUZvTlBzKYTNr5uQEcFVtuhqtFjDD4ohXtsHrR9b1+6QTEREREZHlMaRbMxcXhnS6OjOFdD2psB4YGGi26xMRERERUf1kXd2drsLZmSG9Aeu2b8efx47h33PncDw5GdU1Nfh87lxMGz1a8vi/T53Coq++wt4TJ1BSUYGIwEBMGDkS8ydNgqstbtOnJwhi14WZ6cP6yy+/DAcH/lVBRERERNQa+C9va2ZvW8qZ2QuffYbUnBz4e3sjWK1Gak5Ovcd+v3s37n7lFaiUStwxbBiC1GrsPXECr65dix2HD+P3d96BswWCbquxYIh2suXXhYiIiIjIxjCkWzOOXjbo02efRWxICCKCgvDG119j/iefSB5XUVWFh5YuhUKhwN6VK9G3UycAgCAIeOzdd/H+xo1Y9t13mHfPPa1ZvnnxvUJEREREZBc4J92aMXg16Pq+fRHRiJXv9544gYtFRbh18GBDQAcAhUKB1+6/HwCw6qefYNMbHfC9QkRERERkFxjSrRmDl1nkaDQAgKjgYJPHfDw84OvpidScHJzPzGzt0syH7xUiIiIiIrvAkG7NGLzMop2PDwAgOSvL5LGi0lIUlJQAAM5duNCaZZmHVgsolXyvEBERERHZCYZ0a+bgIAYwrvDeIoO6dYOXuzs27t2LwwkJRo+9uHq14c+FpaWtXVrLabWASsWQTkRERERkJ/gve2vm6CiGr9paMYhRs3i4umLpzJl44O23MXDWLNw5fDiC1Gr8dfIk/j13Dp3Dw3EmLQ0qpQ1+ZqXViu8RhnQiIiIiIrtgg6mkDXFxEfe/rq6WuxKbd/+4cdjyxhsY2LUrfty7Fx/8+CMcVCr8/s47iAkJAXC5Ld6mVFeL7xEXF7krISIiIiIiM+DwmzVzdmZIN6Mx/ftjTP/+JvdPWbQISqUSfWJjZaiqhaqqAA8P8X1CREREREQ2jyHdmimVYgDLzZW7klaj1Qk4k1WMgopq+Lo6oXOwF1RKhcW+397jx5GSnY2x/fvD28PDYt/HYqqrAS8vuasgIiIiIiIzYUi3dl5egC2uOt4MB5LzseavFGjKLncOqN2dMG1QJOKj/Fp07eKyMni5uxvdl3nxIh54+204qFR49b77WnR92dTUMKQTEREREdkRhnRr5+HRJlZ3P5Ccj6Xbz5ncrymrxtLt5zD7ho4mQf3TzZux5/hxAMDx8+cN9+08cgQAcOuQIbh1yBAAwLvff49127djSPfuCPDxQXpeHn7cuxfllZX47Nln0adjRws+OwsSBMDVVe4qiIiIiIjITBjSrZ2rqxjE7JhWJ2DNXykNHrPmrxT0jVAbtb7vOX4cX/zyi9Fxe0+cwN4TJwAAkUFBhpA+qGtX7Dp6FJv27UNBSQn8vLwwtn9/zJ04Eb1tcS56XVw0joiIiIjIbjCkWzsXF3Fuuk4n/tcOnckqNmpxl6Ipq8aZrGJ0DfE23Ldm3jysmTevUd/j2j59cG2fPi2q0+rU1opbrzGkExERERHZDftMffakDWzDVlDRuOfW2OPaDG6/RkRERERkdxjSrV0bCOm+ro3bPqyxx7UZDOlERERERHaHId3aOTuLX3Yc0jsHe0Ht3nAAV7uL27FRHVVV4poFjo5yV0JERERERGbCkG7tFApArQYqKuSuxGJUSgWmDYps8JhpgyItul+6TaqsBPxatjUdERERERFZF4Z0W+DnJ+6Hbcfio/ww+4aOJiPqancnye3XCOLWfD4+cldBRERERERmxNXdbYGHh/hfQRBH1u1UfJQf+kaocSarGAUV1fB1FVvcOYIuQasV3wuennJXQkREREREZsSQbgs8PcV56ZWV4hxkO6ZSKoy2WaN66N8L+g9wiIiIiIjILrDd3RZ4eIiBzI7npVMTVVQAbm6Au7vclRARERERkRkxpNsCBwe7XzyOmqi8HPD3B5T8FSYiIiIisif8F76t8PcXt9wiAoDaWvGDGyIiIiIisisM6bbC01NcOI5Iv4AgF40jIiIiIrI7DOm2wsNDXDyuulruSkhulZXie4GLxhERERER2R2GdFvh6SkuHldeLnclJDf9onEM6UREREREdoch3VY4OQF+fkBZmdyVkNxKS4F27QCVSu5KiIiIiIjIzBjSbUlQkNjqTG1bTQ0QGCh3FUREREREZAEM6bbE11fcjq2mRu5KSC5VVeJ8dF9fuSshIiIiIiILYEi3Jb6+4tz00lK5KyG5lJSI7wFvb7krISIiIiIiC2BItyVOTmKbc0mJ3JWQXEpLgeBgsaOCiIiIiIjsDkO6rQkMZLt7WyUIgFYrLhpHRERERER2iSHd1vj4iHOSq6rkroRaW2WluA0f56MTEREREdkt9szaGh8fcU5ySYkY1tuwddu3489jx/DvuXM4npyM6poafD53LqaNHi15fHFZGV5eswYb/vwT2RoNgtRq3DF0KF6eNg1e7u6tXH0zlJSIc9G9vOSuhIiIiIiILIQj6bbGwUGck8z90vHCZ5/h459/RmpODoLV6gaPLauowPAnn8Sy775Dp7AwPHXnnYiLiMCy777D8CefRFlFRStV3QJlZUD79oCSv7ZERERERPaK/9q3Re3aAbW14hzlNuzTZ59Fyvr1yNu4EQ/ffHODx775zTc4kpiIORMm4Ne33sIbDz6IrUuW4KWpU3EkMRFvfvNNK1XdTDqd+PP285O7EiIiIiIisiCGdFvk5we4u7f50fTr+/ZFRFDQVY8TBAGfbtkCD1dXvDR1qtFj8ydNgq+nJz7bsgWCNX/ood96jSGdiIiIiMiuMaTbIi8vseW9oEDuSmxCwoULyLx4EYO7dYO7q6vRYy5OThjWowcyLl5EYkaGTBU2QlGR2OpuC3PniYiIiIio2RjSbVVoKFBd3eZb3hsj4cIFAEBsaKjk4/r79cdZHZ1O3HYvJETuSoiIiIiIyMIY0m1VQADg4QGUlspdidUrujQtwLueUWgvNzej46xOSYnYPREQIHclRERERERkYQzptsrTEwgKYst7W1BYKHZOXPowgYiIiIiI7Bf3SbdlYWFAYqLY8q5QyF2N1dKPoNc3Ul5cXm50nFXRasWv9u3lroSIiIiI2pDqWh3W7ktBqqYcEWo3TBkYCScHjvG2BoZ0WxYQII6o69uhSdLV5pxfbc66rNjqTkREREStbPGWU/jkz2To6ix/9fqW05gxNArzx8bJV1gbwY9CbJmHh9jyXlgodyVmo9UJOJlRhD2JeTiZUQStruUL48WGhqK9vz/2njiBsooKo8cqq6ux+9gxtPf3R4w1LsxWWCh2TFyxKj0RERERkSUs3nIKH+02DugAoBOAj3YnY/GWU/IU1oYwpNu6sDBx5W+dTu5KWuxAcj4eW38Ir24+hfd2JOLVzafw2PpDOJCc36LrKhQKPDB2LEorKvDKl18aPbb4q69QUFKCB8aOhcLapgxoteLPNThY7kqIiIiIqA2ortXhkz+TGzzmkz+TUV1r+9nDmrHd3dYFBIjt0EVFgK+v3NU024HkfCzdfs7kfk1ZNZZuP4fZN3REfJSf0WOfbt6MPcePAwCOnz9vuG/nkSMAgFuHDMGtQ4YAAOZMmICf/voLb37zDQ4nJqJvx444mpSErX//jV4xMZgzYYIFn10zFRYCPj5sdSciIiKiVrF2X4rJCPqVdIJ43P1DO7ROUW0QQ7qtc3cHoqKAY8dsNqRrdQLW/JXS4DFr/kpB3wg1VMrLo917jh/HF7/8YnTc3hMnsPfECQBAZFCQIaS7u7pi57JlWPjFF/hu927sPHIEQWo1nrrzTiy49164W2M7eWEh0K8f4OIidyVERERE1AakasrNehw1D0O6PYiIAM6cASoqbHLu8pmsYmjKqhs8RlNWjTNZxega4m24b828eVgzb16jv4+3hweWzpqFpbNmNbvWVlNaKv4sw8LkroSIiIiI2ogIdeO2/G3scdQ8nJNuD/z9gZAQ4OJFuStploKKhgN6U4+zC/n5YkC30e4IIiIiIrI9UwZGQnmVZZqUCvE4shyGdHugUAAdOgC1teJiYzbG19XJrMfZPP1CgFFR4s+WiIiIiKgVODkoMWNoVIPHzBgaxf3SLYyvrr0IDgbUakCjkbuSJusc7AW1e8MBXO3uhM7BbWQv+Px8IDBQ3F6PiIiIiKgVzR8bh4eGRZmMqCsVwEPDuE96a+CcdHvh5ATExgL79ont7zY0AqtSKjBtUKTk6u560wZFGi0aZ7d0OqCsDOjTB3DgrycRERERtb75Y+Pw9I2dsXZfClI15YhQu2HKwEiOoLcSpgB7EhoKeHgAJSXitmw2JD7KD7Nv6Ig1f6UYLSKndnfCtEGRJtuv2a2iIsDbW1xjgIiIiIhIJk4OSm6zJhOGdHvi5QVERgKnTtlcSAfEoN43Qo0zWcUoqKiGr6vY4t4mRtD1CgqAnj3FrfWIiIiIiKjNYUi3N5GRwLlzQHk54GZ7WyOolAqjbdbalNJScU/0iAi5KyEiIiIiIplwUoG9CQgQVwXPyZG7Emqq3FwgOlpcU4CIiIiIiNokhnR7o1AAHTuKC8mVlspdDTVWcbHY+RAbK3clREREREQkI4Z0e9SunTgim5srdyXUWHl54s9MrZa7EiIiIiIikhFDuj1SKMQRWVdXcaV3sm6FheKq/BxFJyIiIiJq8xjS7ZWfH0fTbYEgAPn5YkD38ZG7GiIiIiIikhlDuj2LjRW38ioqkrsSqk9BgbhdXkyM3JUQEREREZEVYEi3Z76+YlC/eFEcsSXrIghiSO/UySb3tSciIiIiIvNjSLd3sbFiACwokLsSutLFi+IHKdHRcldCRERERERWgiHd3nl5AV27iiG9tlbuakivpkZc1K9bN3FKAhERERERERjS24aYGCA0FMjKkrsS0svMBCIigA4d5K6EiIiIiIisCEN6W+DkJI7YCgJQViZ3NVRSAjg4iD8TBwe5qyEiIiIiIivCkN5WtG8vLlCWnQ3odHJX03ZpteK2eJ07A4GBcldDRERERERWhsN4bYVCIc5Nz84WQ2JQkNwVtU3Z2WI4j4uTuxIiIiIiIpum1Qk4kKxBbkklAjxdEB+lhkqpkLusFmNIb0s8PIAePYBdu4CKCsDVVe6K2payMnEkvWdPvvZERERERC2w7UQWFm46hayiSsN9wd4uWDA+DqO7BctYWcux3b2tiYgAOnYUFy7j3umtR6cTF+7r1ElcxI+IiIiIiJpl24kszFx3yCigA0B2USVmrjuEbSdse8FshvS2RqkUFyzz9xeDOrWOzExxikG3buLUAyIiIiIiajKtTsDCTacgNdyov2/hplPQ6mx3QJIhvS3y8gL69hX/XFgoayltgkYjruLety/3RCciIiIiaoEDyRqTEfS6BABZRZU4kKxpvaLMjCG9rQoNFedG5+cDlfW/yamFKiqAoiKgVy8g2LbnxhARERERyS23pHHZpbHHWSOG9Lasc2dxjnRGhrigGZmXViu2uXfpIq4DQERERERELRLg6WLW46wRQ3pb5uAA9O4tjvBmZMhdjX0RBCA9/XLHgpK/akRERERELRUfpUawtwvqW+VJAXGV9/godWuWZVZMDm2du7s4V9rZGbh4Ue5q7Edurvja9uvH7daIiIiIiMxEpVRgwfg4ADAJ6vrbC8bH2fR+6QzpBAQGAn36ACUlQGmp3NXYvpISoKpKDOh+fnJXQ0RERERkV0Z3C8aHk/sgyNu4pT3I2wUfTu5j8/ukO8hdAFmJ6GiguBg4cgRQqTj621xlZUBenvihR2Sk3NUQEREREdml0d2CcUNcEA4ka5BbUokAT7HF3ZZH0PUY0kmkVIpzp2trgRMngJAQwMV2F1uQRUUFkJ0tvo7du3M/dCIiIplpdYJd/gO+LePPlOpSKRUYGG1/nasM6XSZg4M4AqzVAqdPA2FhgJOT3FXZhspKcSX3bt3E7dZUKrkrIiIiatO2ncjCwk2njPZTDvZ2wYLxcTbfCttW8WdKbQXnpJMxR0dxLnXHjkBaGlBdLXdF1q+qSlwdv0sX8UMOB372RUREJKdtJ7Iwc90hozAHANlFlZi57hC2nciSqTJqLv5MyeYdP97oQxnSyZSTE3DNNUBsrBjUa2vlrsh6VVeLW6117Ch+uOHoKHdFREREbZpWJ2DhplMQJB7T37dw0ylodVJHkDXiz5Rsmk4HLF0KjBzZ6FMY0kmaiwsQHw9ERQGpqUBNjdwVWZ/qavFDjNhY8UMNTg0gIiKS3YFkjcloa10CgKyiShxI1rReUdQi/JmSzcrMBEaPBp5+ukl5iiGd6ufqCgwYcDmoV1TIXZH1KCsTR9BjY8UPM7jIHhERkVXILak/zDXnOJIff6ZkkzZuBHr0ALZvF3PVsmWNPpUhnRrm7g4MHiwuiJaVBRQVyV2R/AoKgNxc8Zdu4EBuV0dERGRFAjwb98F5Y48j+fFnSjalrAx46CHgttuA/HxxzapDh4D77mv0JRjS6eqcncV27n79xJCemyt3RfLJzhZ/8fr3B/r2ZYs7ERGRlYmPUiPY2wX1bcqlgLgieHyUujXLohbgz9RytDoB+5Ly8eORDOxLyue8/pb6918xlH/8sbgd85w5wL59QOfOTboMl6GmxlGpxL2/PTyAgwfFVu+QEHF/9bZApwMuXBBHzQcOBCIi5K6IiIiIJKiUCiwYH4eZ6w5BARgtNqYPeQvGx3FvbRvCn6llcEs7M9JqgbffBl54QVx0OyQE+PJL4Nprm3W5NpKwyCwUCqBDB2D4cMDLC0hJaRtbtFVVAcnJgFoNjBjBgE5ERGTlRncLxoeT+yDI27j9OcjbBR9O7sMAYoP4MzUvbmlnRunpwPXXA/PmiQH9jjuAY8eaHdABQCEIQpvqaSguLoa3tzeKiorg5eUldzm2q7AQOHwYOH8e8PYG/PzEEG9PBAG4eBEoKQGio8XWFU9PuasiIiKiRtLqBBxI1iC3pBIBnmI7NEdbbRt/pi2n1QkYsmRHvSvmKyB++LFn7rV8ba/mf/8DHnxQzEbu7sDKlcC0aZK5qCk5lO3u1Dw+PsDQoUBwMHD8uDjSHBIizl+3B5WVQEbG5efZoYPY8k9EREQ2Q6VUYGC0n9xlkBnxZ9pyTdnSjq91PUpKgMcfB9asEW/HxwNffQXExJjl8gzp1HwODuIiCIGBYktHUpI4Z71dO9sdVRcEICdH3G6uUydxHr63t9xVERERERGZBbe0a6H9+4FJk8SOYqUSeO454KWXAEdHs30LhnRqOV9fYMgQcST96FHxDRsYKAZ2W1JSIq5cr1aLn4ZFRradhfGIiIiIqE3glnbNVFsLLF4MLFwoLhQXHg6sWyd23ZoZQzqZh0oltne0awecPCkuKpebC/j7i4vMWbOiInHuuZubuB98XBznnhMRERGRXdJvaZddVAmpxcn0c9K5pV0dKSnA5MnA3r3i7YkTgQ8+EKfGWgCHCcm8vL3FLcpuvBHo2hUoLxfb4IuKxFZyayEIQEGBWFtlJdCjBzBqlLj/OQM6EREREdkp/ZZ2AEz2nueWdhK++gro2VMM6J6e4uj5119bLKADXN1d7nLsX0GB2P6elCS2k/v4iEHeQaYmjpoacfXFoiKxjthYsa3dgr9kRERERETWhvukX0VREfDII2IgB4BBg8SAHhXVrMs1JYfKGtJffvllLFy40Oi+wMBAZGdnSx6/c+dOjBw50uT+06dPo3Pnzo36ngzpMikqEttEzp8HiovFeRyenmJQdnKy7PeuqhK/f2mp2Jbv4yP+ckVFcdSciIiIiNosbmlXjz17xPb21FQxPyxYAMyf36KBRpvagq1r16747bffDLdVjdjm6uzZs0ZPrF27dhapjczI21tsE+nSBcjPF+erp6UB2dni6La7u/jl7Nyy0C4I4vUqK4GyMrHd3slJXNyuSxdxzryfn1lXXyQiIiIiskXc0u4KNTXAq68Cr78O6HTiNsxffQUMGNCqZcge0h0cHBAUFNSkcwICAuDTyPbkqqoqVFVVGW4XFxc36XuRmTk5iXurBweLc9Y1GiAvTwzspaViK3pNjXisSiWGdmdncZV1pfLy1m6CIP7i6HTiSHllpfhn/fdwdhZXae/VS1y8Tq3mPudERERERCQtKUncWu3vv8Xb994LrFwpS+et7CE9ISEB7du3h7OzM/r3749FixahQ4cODZ7Tu3dvVFZWIi4uDi+88IJkC7ze4sWLTVrqyUo4OAABAeJXXJwYtMvLL38VF4tz2ktLxeAuCJcXn1MoxC+lUhwZ9/UVV5F3c7v85exsu/u1ExERERGR5QkC8MUXwGOPibnDxwdYtQq4+27ZSpJ1TvrWrVtRXl6Ojh07IicnB6+99hrOnDmDkydPws/PtO3i7Nmz2L17N/r27YuqqiqsXbsWq1atws6dOzFs2DDJ7yE1kh4WFsY56baktlacw64fPQcuj6qrVPItQkdERERERLaroAB46CHgf/8Tbw8fDnz5pbgHupnZzMJxVyorK0N0dDTmzJmD2bNnN+qc8ePHQ6FQ4KeffmrU8Vw4joiIiIiIqI3buROYMgW4cEEc9Hv1VeDZZy02RdamFo6ry93dHd27d0dCQkKjzxkwYADWrVvX5O817utx6BLSBbHqWMT6xSJWHYtodTRcHFyafC0iIiIiIiKyAdXVwEsvAW++KXbqxsaK26z16yd3ZQZWFdKrqqpw+vRpDB06tNHnHD58GMHBTd/Hb0/qHuzJ2WN0nwIKhHmHicG9TniP9YtFB98OcFJZeKswIiIiIiJqVdyGrA05exa45x7g0CHx9gMPAMuWAR4e8tZ1BVlD+jPPPIPx48cjPDwcubm5eO2111BcXIx7770XADB//nxkZGTgyy+/BAAsX74ckZGR6Nq1K6qrq7Fu3Tps2LABGzZsaPL3/uimj3Ch+gISNAlIyE9AgiYBxVXFSCtKQ1pRGn5P/t3oeKVCiQjviMvBvU6Ij/SJhKOKW3oREREREdmSbSeysHDTKWQVVRruC/Z2wYLxcRjdrekDgWSlBAH49FPgySfFBarVauCTT4Dbb5e7MkmyhvQLFy5g4sSJuHjxItq1a4cBAwZg//79iIiIAABkZWUhLS3NcHx1dTWeeeYZZGRkwNXVFV27dsXmzZsxduzYJn/vCd0nGM0FEAQBeeV5hsBu+O+lP5fVlCG5MBnJhcn4NelXo2s5KB0Q6RMpOQIf4R0BlZJbfxERERERtZQ5R723ncjCzHWHcOUCXdlFlZi57hA+nNyHQd0eXLwIzJgBbNwo3r7uOnE195AQWctqiFUtHNcamrNwnCAIyC7NlgzviZpEVNRW1Huuo9IRHXw7mIzAd/TriFCvUCgVSnM9NSIiIiIiu2XOUW+tTsCQJTuMrlWXAkCQtwv2zL2Wre+2bPt2cb/zrCzA0RFYvBh46ilxp6hWZrOru7cGc6/urhN0yCzJlByBT9IkoUpbVe+5Lg4uiPaNlmyhb+/ZHgru8U1EREREVO+ot/5fy00d9d6XlI+Jn+y/6nHrZwzAwGjTraHJylVVAc89ByxdKt7u0kVcHK5XL9lKstnV3W2RUqFEqFcoQr1CMTJqpNFjWp0WF4ovSI7Any84j8raSpzMO4mTeSdNruvm6IYYdYxkC32geyADPBERERG1CVqdgIWbTpkEdAAQIAb1hZtO4Ya4oEaPeueWSI+gN/c4siInT4qLwx07Jt5+5BHgrbcANzd562oChnQLUilViPCJQIRPBK7vcL3RY7W6WqQVpRmNwJ/TnENCfgJSClNQXlOOYznHcCznmMl1PZ08xQAvMQLv7+bPAE9EREREduNAsqbetnRADOpZRZU4kKxp9Kh3gGfjtl1u7HFkBQQB+OAD4JlngMpKoF07YPVq4Kab5K6syRjSZeKgdEAH3w7o4NsBozDK6LEabQ2SC5MlW+hTC1NRUl2Cw9mHcTj7sMl1vZ29JcN7rF8s1K7q1np6RERERERmYYlR7/goNYK9XZBdVCk5Qq+fkx4fxX8/24ScHOC++4AtW8Tbo0cDn38OBAXJW1czMaRbIUeVIzr6dURHv44mj1XVVuF8wXnJFvr04nQUVRXhn8x/8E/mPybnql3VxsG9zp+9Xbxb46kRERERETWJJUa9VUoFFoyPw8x1h6AAjIK6vid1wfg4LhpnC7ZsAaZPB3JzAWdnsbX90UcBG+4u5sJxdqSipgJJBUmSI/CZJZkNntvOrZ0hsHf062gI8DHqGHg4ebTSMyAiIiIiMqZfif1qo97NWYm9JSvGm3M7OGqGigpgzhzgvffE2927i4vDdesmb1314OruDbDnkN6QsuoyJGoSJUfgc8pyGjw32CNYcvQ9Wh0NN0fbWYCBiIiIiGyTfnV3QHrUuyV7mjcnbJtzOzhqhmPHxMXhTl5agPvJJ8Xt1Vysdw0BhvQGtNWQ3pDiqmIxwF8R3hM0CbhYfrHBc0O9QiXnv3fw7QAXB+v9JSEiIiIi22Itwdjc28FRE+h0wLvvAnPnAtXV4pzzNWuAUaOueqrcGNIbwJDeNAUVBZKj7wmaBBRWFtZ7ngIKhHuHS47AR/lGwUnl1HpPgoiIiIjsgtwt5vrW+/pWm29J6z1dRVYWMG0a8Ouv4u2bbwY+/VRcxd0GMKQ3gCHdPARBQH5FvuT894T8BJRUl9R7rkohbk0nNQIf6RMJByXXMyQiIiIi67MvKR8TP9l/1ePWzxjQ6O3gqBF+/BG4/34gPx9wdQWWLQMefNCmFodrSg5ts2novR2J6BgWgDBfV4T7uSHQ0wVKftrVaAqFAv5u/vB388fAsIFGjwmCgNyy3HpH4MtrynG+4DzOF5zHL0m/GJ3roHRAlE+U5Ah8uHc4VEpVaz5NIiIiIiIDS2wHRw0oKwOefhr46CPxdq9e4uJwXbrIWpaltdmQvmpXEpTOWYbbTiolQnxdEaZ2E4O72u3Sn90QrnaDt5ujjNXaFoVCgUCPQAR6BGJI+BCjxwRBQFZpluQIfKImEZW1lYbbV3JSOSHaN1oywId4hUCpULbWUyQiIiKiNsgS28FRPQ4dEheHO3tWvP3ss8Crr4rbrNm5Ntvu/tTav5BXpUSaphwZBRWo1TX8Mni6OIjB3dcNYWoxxIeqxQAf4uMKF0eO8LaUTtAhozhDcgQ+qSAJ1drqes91cXBBjDpGsoU+2CMYChtqhSEiIiIi62TJ7eDoEp0OePtt4IUXgJoaoH174Msvgeuuk7uyFuGc9AZIvThanYCsogqkayqQXlCOdI34laYpR3pBBfJKqq563UAv5zoh3u3yiDxb6c1Cq9MivTjdZAT+XP45JBcmo1ZXW++57o7uYoCXGIEPcA9ggCciIiKiRrPkdnBt3oULwNSpwB9/iLdvvx34+GPAz/bn9zOkN6A5C8dVVGtxoaAc6QXlSMsXg7s+xF8oqEBpVf0BEWArvaXV6mqRUpgi2UKfUpgCnaCr91xPJ0/J8B7rFws/Vz8GeCIiIiIyYS3bwdmV774TF4MrKADc3cWt1qZPt6nF4RrCkN4Ac6/uLggCCsprxNH3gkuj75oKw+2mttKH+4lBnq305lGtrUZyQbJkC31aURoEyUYlkY+Lj3Fwr/NnX1ffVnwWRERERGRt5N4Ozm6UlABPPAF8/rl4+5prgK++AmJj5a3LzBjSG9DaW7AZtdJfCu5spbcOlbWVOF9wXnIE/kLxhQbP9XP1q3cE3suZW/sREREREV3V338DkyYBSUniiPn8+cDLLwOO9tdpzJDeAGvbJ12qlT5Nc3lefFm1tsHznVRKhF4aea/bSq8P9Wylb57ymnIkaZIkR+CzSrMaPDfAPQCx6lh09OtoFOBj1DFwd3JvpWdARERERGSltFpg8WIxkGu1QFgYsG4dMGyY3JVZDEN6A6wtpDekbit9mmEUnq30ciutLkWiJlFyD/jcstwGz23v2V5y9D3aNxqujq6t9AyIiIiIiGSSmgpMngzs2SPevvtuYNUqwMdH1rIsjSG9AbYU0q+mVqtDdnFli1rpg7xcEKZ2NWqlF0fjXdlK3wxFlUVI1CTiXP45kwCvqdA0eG6YV5hkC30H3w5wdrD//SCJiIiIyM6tXw88/DBQXAx4egLvvy8GdjtZHK4hDOkNsKeQfjXmbKUPrxPk2UrfPJoKjeT894T8BBRVFdV7nlKhRLh3uOQIfJRPFBxV/DkQERERkRUrKgIefVRsaQeAgQPFP3foIG9drYghvQFtKaQ3RLqVvtywV3xjWum9XBwubyV3qZVePxrPVvrGEwQBF8svSob3BE0CSqtL6z1XpVAh0idScgQ+wicCDkqHVnwmRERERERX2LtXHC1PSQGUSuCll4Dnnwcc2ta/UxnSG8CQ3jj6Vvo0TTkuXAru+lH4NE0FLpY2oZW+zsr0bKVvGkEQkFOWIzkCn6hJRHlNeb3nOiodEeUbJTkCH+YVBpWSH6IQERFR22BN26VZUy0WVVsLvPoq8NprgE4HREWJo+eDBsldmSwY0hvAkG4e+lZ6Q/u8GVrpww3by7GVvjEEQUBmSabkCHyiJhFV2vo/SHFWOSNaHS0Z4Nt7todSoWzFZ0JERERkOdtOZGHhplPIKqo03Bfs7YIF4+Mwultwm63Fos6fF7dW279fvD11KrByJdCG8xdDegMY0i2PrfTy0wk6XCi+IDkCn6RJQo2upt5zXR1cEaOOkWyhD/IIgqINLOxBRERE9mHbiSzMXHcIV/7LU/+vmQ8n92m1cGxNtViMIABr1wKzZgGlpYC3t7hy+4QJclcmO4uGdEEQsGvXLvz5559ISUlBeXk52rVrh969e+P6669HWFhYi4q3NIZ0+bW0lV6hAAI9jVvpDaPwbKW/qlpdLdKK0iQDfHJBMrRC/V0QHk4eYoCXGIFv59aOAZ6IiIishlYnYMiSHUaj1nUpAAR5u2DP3Gst3m5uTbVYTEEBMHMm8O234u1hw8TAHh4ub11WwiIhvaKiAsuWLcMHH3yA/Px89OzZEyEhIXB1dYVGo8GJEyeQmZmJG2+8ES+99BIGDBhglidjbgzp1u/KVvq0S0G+qa30+tBuHOLd4O3KVvr61GhrkFKYItlCn1qUCp2gq/dcL2cv4+Be589+bn6t+CyIiIiIgH1J+Zj4yf6rHrd+xgAMjLbsv1WsqRaL2LULmDIFSE8XF4RbuBCYOxdQsftVryk5tNFL6nXs2BH9+/fHqlWrMGrUKDg6mgad1NRUfP3117j77rvxwgsvYMaMGU2vnto8VycVYgM9ERvoafKYvpX+8lz4y630aZpyZBZWoFqrw/mLZTh/sUzy+vpW+stz4NlKr+eochSDtV8sEGv8WFVtFZILkyVH4NOL0lFcVYx/s/7Fv1n/mlzX18VXMrzH+sXCx8WndZ4cERERtSm5JdKj1s09riWsqRazqq4GXn4ZeOMNsdU9Jgb46isgPl7uymxao0fST5w4gW7dujXqotXV1UhNTUVsbOzVD25lHEm3b1e20tedE89WesuprK1EkiZJcgQ+oySjwXP93fwNgb2juqMhwMeoY+DpbPpBDREREVFjWNPotTXVYjbnzomLw/3zj3j7/vuB5csBDw9Zy7JWFl84Li0tDWFhYSbzTwVBQHp6OsKteN4BQ3rbVl5diwsFFYbW+Sa30jsoEerDVvqmKKsuQ1JBkuQIfHZpdoPnBnkESY6+x6hj4Obo1krPgIiIiGyRfh54dlGlyWJtgDxz0q2hlhYTBOCzz4AnngDKywFfX+CTT4A77pC7Mqtm8ZCuUqmQlZWFgIAAo/vz8/MREBAArbbhoCMnhnSqz5Wt9GmaclwoMG6lb+yq9HWDu76dPtTXFc4ObbeVXkpJVQkSNYlI0CTgXP45oxB/sfxig+eGeIZIttBHq6Ph4uDSSs+AiIiIrJl+RXUARuFYztXdraGWZsvPB2bMAH74Qbx97bXAF18AoaHy1mUDLB7SlUolcnJy0K5dO6P7U1NTERcXh7Iy6bnA1oAhnZqrVqtDVlEl0guMW+nTLs2Jb2wrfbjaDaFXjMKHq90Q4OnMVvo6CisLJUffE/ITUFBZUO95CigQ5h0mOQLfwbcDnFROrfgsiIiISG7WtDe5NdXSZL/9Btx7L5CZCTg6AosWAbNnA0ql3JXZBIuF9NmzZwMAVqxYgRkzZsDN7XK7qVarxd9//w2VSoW9e/c2s3TLY0gnS6nbSp9WZ1/45rbSh1+aE89WelP55fmS4T1Bk4DiquJ6z1MqlIjwjpAcgY/0iYSjiq8xERGRPdLqBBxI1iC3pBIBni6Ij1LL1lZuTbU0SlUV8PzzwDvviLc7dwa+/hro3VveumyMxUL6yJEjAQC7du3CwIED4eR0eUTKyckJkZGReOaZZ6xywTg9hnSSgyAI0JRVI71OiL9QZxS+sa304X7GwT3MVwzzIWylByC+znnlefWOwJfV1N/l46B0QKRPpOQIfIR3BFRKvr5ERETUxpw6BdxzD3D0qHh75kzg7bcBN64N1FQWb3efPn06VqxYYZMhlyGdrFHdVvr0OqPwzW2lrzsKz1Z6kSAIyC7NlgzviZpEVNRW1Huuo9IR0epoyQAf6hUKpYJtXkRERGRHBAH48EPg6aeBykrA3x9YvRoYP17uymyWxUO6LWNIJ1sk1Up/eWG7RrbS+7peCu5spb+STtAhsyRTcgQ+SZOEKm39H5K4OLgg2jdasoW+vWd7k10wiIiIiKxabi5w333A5s3i7VGjgDVrgKAgWcuydRYP6WVlZXjjjTfw+++/Izc3Fzqdzujx8+fPN/WSrYYhnexN3VZ6/cr0dVvpMworoG1CK704Gs9Wej2tTov04nTJAH++4DxqdbX1nuvm6IYYdYzkCHygeyADPBEREVmXrVuBadPEoO7sDLz5JvDoo1wczgwsHtInTpyIXbt2YcqUKQgODjb5h+YTTzzR1Eu2GoZ0amukWun1K9M3tpU+yMsFYb5spb9Sra4WqYWpki30KYUp0Ar1dzh4OnmKAV5iBN7fzZ8BnoiIiFpPRQUwdy6wcqV4u1s3cXG47t3lrcuOWDyk+/j4YPPmzRg8eHCzi5QLQzqRMX0rfVr+5eBed2G7crbSN0uNtgbJhcmSI/CphakQUP9fvd7O3pLhPdYvFmpXdSs+CyIiIrJ7x4+Li8OdOCHefvxx4I03AFdXycNtbnV6K2HxkB4VFYUtW7agS5cuzS5SLgzpRI0n1UqfXmcUnq30zVNVW4XzBeclR+DTi9MbPFftqjYK7h39Ohpueznz7zQiIiJqJJ1OHDmfO1fcZi0wEPj8c2DMmHpPsel93mVm8ZC+bt06/Pjjj/jiiy+M9kq3BQzpROZjaKXXGI/C61vrL5ZWN3h+fa30+lDfFlvpK2oqkFSQJDkCn1mS2eC5Ae4BxiPvl/4co46Bh5NHKz0DIiIisnpZWcD06cAvv4i3b7oJ+OwzICCg3lO2ncjCzHWHTHoB9f9S+3ByHwb1BlgkpPfu3dtojmRiYiIEQUBkZCQcHY3bWQ8dOtSMslsHQzpR67mylV6/mF1zWunD1WI7fVtupS+rLkOiJtEQ3s9pzhlCfG5ZboPnBnsES7bQx6hj4Ooo3c5GREREduinn4D77wcuXgRcXIClS4GHHxZHT+qh1QkYsmSH0Qh6XQoAQd4u2DP3Wra+16MpOdShsRe99dZbW1oXEbUxbk4O6BjoiY6BniaPNaaVvrpWh/N5ZTifVyZ5fW9XR0Nw17fSh19qp7fHVnp3J3f0DOqJnkE9TR4rriqWHH1PyE9AfkU+skqzkFWahd2pu03ODfUKlZz/Hu0bDWcH59Z4akRERGRp5eXivuerVom3e/YE1q8HGjGF+UCypt6ADgACgKyiShxI1mBgtJ+ZCm67uE86EVklc7bSh9UZhW+LrfQFFQWS4T1Bk4DCysJ6z1NAgXDvcMkR+CjfKDipnFrvSRAREVHzHT4sLg535ox4++mngddfF7dZa4Qfj2TgiW+OXPW4FRN64ZZeIS0o1H5ZZCSdiKg1OaiUhrZ2KeXVtUjXVBhCvL6VXn+7vFqLrKJK8VPdFI3J+VKt9OFqN4T62l8rva+rL+JD4hEfEm90vyAIyK/Ir3cEvqS6BKlFqUgtSsVv538zOlelUCHCJ0JyBD7SJxIOSv7vhYiISHY6ndjO/txzQE0NEBwMfPklcP31TbpMgKeLWY+jhjVrJN3X11dyD1+FQgEXFxfExMRg2rRpmD59ulmKNCeOpBPZP30rvTjyXmHUSp+mKUdmYeVVV6XXt9LrF7Oz91b6KwmCgNyy3HpH4Mtryus910HpgCifKKOV5/X/DfMKg0pp368dERGRVcjIAKZOBXbsEG/fdhvwySeAX9Pb0fVz0rOLKiU3keWc9Kuz+Oruy5Ytw+uvv44xY8YgPj4egiDg4MGD2LZtG5566ikkJydj7dq1WLlyJWbMmNHsJ2IJDOlEdGUrvWEUvgWt9OGXRv3bQiu9IAjIKs2SHIFP1CSisrb+OWtOKidE+0ZLttCHeIVAqVC24jMhIiKyUxs2ADNmAAUFgJsbsGKFuFhcA4vDXY1+dXcARkGdq7s3jsVD+h133IEbbrgBDz/8sNH9H330EX799Vds2LABK1euxMcff4zjx4839fIWxZBORFfTmFb6huhb6fWj8HVb6cP93ODlYj+t9FfSCTpkFGfgXP45kwB/vuA8qrX1fwDi4uCCGHWMZAt9sEewZAcXERGZj1Yn4ECyBrkllQjwdEF8lJqjoramtBR48klxOzUA6NsX+PproGNHs1ye+6Q3n8VDuoeHB44cOYKYmBij+xMTE9GrVy+UlpYiKSkJPXr0QFmZ9KrMcmFIJ6KWsEQrfZhhFN6+W+m1Oi3SitIkW+iTC5NRq6ut91x3R3cxwEuMwAe4BzDAExG1EMOXHTh4UFwcLjFRHDGfNw94+WXAybwLvfLDnOaxeEgPDw/HU089haeeesro/mXLlmHZsmVIS0vDsWPHcOONNyI7O7upl7cohnQisqT6WunTNOW4UMBW+vrU6mqRUpgi2UKfUpgCnaCr91wvZ696R+D9XP0Y4ImIrkLfxnxlKLCnNubqWh3W7ktBqqYcEWo3TBkYCScHO5lipdUCS5YACxYAtbVAWBiwdi0wfLjclVEdFg/pn3zyCWbOnImxY8ciPj4eCoUCBw4cwJYtW7Bq1Srcf//9eOedd3DgwAF8++23zX4ilsCQTkRyKquqxYVLI/BpdbaXa24rvX5lentupa/WViO5IFlyBD6tKA2C5BI2Ih8XH+Pgro4VF7Tzi4WPi0/rPQkiIiulXxCsvj2w7WFBsMVbTuGTP5NRt9FNqQBmDI3C/LFx8hVmDqmpwJQpwJ9/irfvukvcB93XV966yITFQzoA7N27F++99x7Onj0LQRDQuXNnPPbYYxg0aFCzim4tDOlEZK0EQUB+WfWlwH65lV4f5hvbSh9eZ194fSt9uNoNIT6u9jNqcEllbSXOF5yXHIG/UHyhwXP93fxNArz+z57Onq30DIiI5LUvKR8TP9l/1ePWzxiAgdFNXxVcbou3nMJHu5PrffyhYTYc1L/5Bnj4YaCoCPDwAN5/Xwzs7CCzSq0S0m0VQzoR2aq6rfR1R+Gb3Ep/xYJ2+hDfzsO+WunLa8qRpEkyCu/6Be2ySxueihXoHigZ3mPUMXB3cm+lZ0BEZHk/HsnAE98cuepxKyb0wi29QixfkBlV1+rQ+cWtaOjzbaUCOPPqGNv6ELu4GHj0UbGlHQAGDADWrQOio+WtixrUlBzq0JSL6i9WXFzc4LEMv0RE5uegUhpGxqV6lqRb6S9vL1derUVWUSWyiipxIFljcr69tdK7Obqhe2B3dA/sbvJYSVUJEjWJki30eeV5yCnLQU5ZDvak7TE5t71ne8n579G+0XB1dG2Np0ZEZDYBni5mPc6arN2X0mBABwCdIB53/9AOrVNUS/31FzB5MpCcDCiVwIsvAi+8ADg0OtaRDWj0T9PX1xdZWVkICAiAj4+P5EI8giBAoVBAq214TiUREZmfu7MDOgV5olOQaat23VZ6ceS9wqSVvrpWh/N5ZTifJ70rhz210ns6e6J3cG/0Du5t8lhRZZFkeE/QJEBToUFmSSYySzKxK3WX0XkKKBDqFSo5At/BtwOcHZxb6+kRETVafJQawd4uyC6qlFzhQz8nPT5K3dqltViqptysx8mqthZ47TXg1VcBnQ6IjBRHzwcPlrsysoBGh/QdO3ZArRZ/Of/44w+LFUREROanUCjg7+EMfw9n9A43XUxGqpU+7dKCdvpW+qKKGhzPKMLxjCKJ6xu30hvCvA220nu7eKNf+37o176fyWOaCo3k/PeE/AQUVRUhvTgd6cXp2JG8w+g8pUKJcO9wyRH4KJ8oOKpsq0uBiEzZ6rZUKqUCC8bHYea6Q1AARkFdX/2C8XE28VyuFKF2M+txsjl/Xhw937dPvD1lCrByJeDtLW9dZDFmnZNeUFCATZs2YerUqea6pNlxTjoRUdPpW+nT6uwLn15ne7mKmquvSh/m6yoZ4sPUttdKfyVBEHCx/GK9I/Cl1aX1nqtSqBDpE4lYv1h0VHc0CvDh3uFwULKFkcja2cMe4/bwHK5k83PSBUEcLZ81CygpEUP5hx8CEyfKXRk1g2wLxx09ehR9+vSx6nZ3hnQiIvOSaqVPy78U5JuzKr1hYTvbbKW/kiAIyCnLqXcEvqK2ot5zHZWO6ODbQbKFPsw7DEqF7b4uRPbCnvYYt9VugIbY7OruhYXAzJniCu4AMHSouFBcRITk4fb4s7M3DOkNYEgnImpd+lb6uqPw+lb6dE058suuvip9sJcLQq8YhdevTG9LrfRXEgQBmSWZl1eerxPgkzRJqNJW1Xuus8oZ0epoyRb69p7tGeCJWkFb2GPcHtjcPum7d4st7WlpgEoFLFwIzJsn/lmCPXZB2COG9AYwpBMRWZcrW+n1W8o1p5U+vM72crbeSq8TdEgvSpccfT9fcB41upp6z3V1cEWMOkZyBD7II0hy8Vciajp732PcnlTX6rB2XwpSNeWIULthysBI6+vSqqkBXn4ZWLxYbHWPjga++gro37/eU+ypk8PeWWQLNiIiIktozKr0+gBft5U+TVOOrCJxVfqkvDIk1bMqvY+bo3FwN4zGW3crvVKhRIRPBCJ8InB9h+uNHqvV1SKtKE2yhT65IBkVtRU4nnscx3OPm1zXw8lDDPASI/Dt3NoxwBM1QW6J9Ah6c48jy3FyUFr3NmsJCcCkScDBg+Lt++4Dli8HPE3/36in1QlYuOmU5Kr8AsSgvnDTKdwQF8RODhvTpJD+7rvvNvh4RkZGi4ohIiKqq+6q9H0kVqWv0eqQXaeVXlyZ3riVvrC8BoXl9a9Kr2+lrzsKb+2t9A5KB3Tw7YAOvh0wCqOMHqvR1iClMEVyBD61KBWl1aU4kn0ER7KPmFzX29lbcgS+o19HqF1tb/slIkuz5z3GqZUIArB6NfDEE0BZGeDrC3z8MXDnnVc99UCypt6pFoAY1LOKKnEgWcNODhvTpJC+bNmyqx4THh7e7GKIiIiawlGlNLS1Symrqr20En2FUSt92qWV6StqtMgsqkTmpX/EXMnZQYlQG2uld1Q5iiHbLxaINX6sqrYKyYXJkiPw6UXpKKoqwr9Z/+LfrH9Nrqt2VRuPvNf5s7cLtwGitsme9xinVpCfDzz4IPD99+LtkSOBL78EQkMbdTo7OexXk0J6cnL9KyMSERFZG3dnB3QO8kLnINO5X1e20uu3lKvbSl9lZ630zg7O6OzfGZ39O5s8VlFTgfMF503C+7n8c8gsyYSmQoO/M/7G3xl/m5zbzq2dZHiPUcfA07n+Vk0iW2fPe4yThf3+OzB1KpCZCTg6Aq+9Bjz9dL2Lw0lhJ4f9MuvCcbaAC8cREVFj1Gh1yCqsNOwJr2+lT9OU40ITV6W3pVZ6KWXVZUjUJEq20OeU5TR4bpBHkOT89xh1DNwcpTsgiGwNV9emRquqAl58EXj7bbHVvVMncXG4vn2bfCn97gJX6+Tg7gLWwSKru3/zzTeYMGFCowpIT09HWloaBg8e3KjjWxNDOhERmUNjWukbIt1Kf3lU3hpb6aUUVxWLAf6K8J6gScDF8osNnhviGSI5Ah+tjoaLA0d+yLZwn2q6qtOnxcXhDh8Wbz/0EPDOO4C7e7MvqV/dHZDu5ODq7tbDIiF9+PDhyMnJwfTp03HzzTejS5cuRo8XFRVh7969WLduHX777Td89tlnGD9+fPOfhYUwpBMRkaUJgoCLpdWGUXh9K33apX3is4oqodU1/L9ffSt9uNoNoWpXq2+ll1JYWSg5/z0hPwEFlQX1nqeAAmHeYZIj8B18O8BJ5dSKz4KIqIUEAfjoI2D2bKCiAvDzAz77DLjlFrNcnp0ctsFi+6T//PPPWLlyJX777Te4u7sjMDAQLi4uKCgoQHZ2Ntq1a4fp06fjySefREBAQIufiCUwpBMRkdzqttIb5sS3sJU+3M/VMBpvC630+eX5kuE9QZOA4qries9TKpSI8I4QV51XdzQK8JE+kXBQcndZIrIieXnA/fcDmzaJt2+8EVizBgg2b3hmJ4f1s1hI18vPz8eePXuQkpKCiooK+Pv7o3fv3ujduzeUSuv+ZJ8hnYiIrF3dVnqjhe0KmtZKrx95t6VWekEQkFeeV+8IfFmN9CJ+gLg1XZRPlGQLfbh3OFTKxi/IRETUYtu2AdOmATk5gJMTsGQJ8PjjgJXnJbIMi4d0W8aQTkREtswSrfR158Rbcyu9IAjILs02BPZz+ecMAT5Rk4jK2vq3GXJSOaGDbwfJFvpQr1AoFdb5nInIBlVWAvPmAStWiLe7dgW+/hro0UPeukhWDOkNYEgnIiJ7Zq5W+rA6o/D6VvpwtRvaeTpDobC+FkqdoENGcYbk6HtSQRKqtfU/bxcHF0T7RkuOwLf3bG+Vz5eIrNTx48A99wAnToi3H3tMHEF3dZW3LpKdxUO6r6+v5P+wFAoFXFxcEBMTg2nTpmH69OlNvbTFMaQTEVFbZu5W+nC1G0LrbC/naYWt9FqdFunF6ZIt9OcLzqNWV1vvuW6ObohRx0iOwAe6BzLAk13hvOYWEARg5Upgzhxxm7WAAODzz4GxY+WujKyExUP6smXL8Prrr2PMmDGIj4+HIAg4ePAgtm3bhqeeegrJyclYu3YtVq5ciRkzZjT7iVgCQzoREZE0qVZ6/ZZy6QXlyCyswFU66eHj5mhon6/bSh+udkN7K2ylr9XVIrUwVXIEPqUwBVqh/g8tPJ08xQAvMQLv7+bPAE82hSuEt0B2NjB9ujgHHQDGjQNWrxaDOtElFg/pd9xxB2644QY8/PDDRvd/9NFH+PXXX7FhwwasXLkSH3/8MY4fP97Uy1sUQzoREVHzSLXSp11qp29MK71SAQTVaaUP1y9mZ6Wt9NXaaqQUpkiOwKcWpkJA/f+E8nHxMR55r/NnX1ffVnwWRFen32v7ync099puhJ9/FgP6xYuAi4u47/nMmeLcIaI6LB7SPTw8cOTIEcTExBjdn5iYiF69eqG0tBRJSUno0aMHysrqX4VVDgzpREREllFaVYsLBeVIyxeDe91W+jRNOSprdA2eb0ut9FW1VThfcF5yBD69OL3Bc/1c/STDe6xfLLyc+W8Tal1anYAhS3YYjaDXpQAQ5O2CPXOvZet7XeXlwLPPAh98IN7u0UNcHK5rV3nrIqvVlBzarM1E1Wo1Nm3ahKeeesro/k2bNkGtVgMAysrK4Onp2ZzLExERkQ3ycHZA5yAvdA4y/cdHY1rpq2p1SMorQ1Ke9Af8dVvpw64YhW/tVnpnB2d0adcFXdp1MXmsvKYcSZokyQCfVZqF/Ip85F/Ix/4L+03ODXAPkByBj1HHwMPJozWeGrUxB5I19QZ0ABAAZBVV4kCyBgOj/VqvMGt25Ii4ONzp0+Lt2bOBRYsAZ2fZSrLEegJco0A+zQrpL774ImbOnIk//vgD8fHxUCgUOHDgALZs2YJVq1YBALZv347hw4ebtVgiIiKyTQqFAu08ndHO0xl9wk3bvfWt9GmGRewut9Kna8qhKatGYXkNCsuLcOxCkcn51tRK7+bohu6B3dE9sLvJY6XVpUjUJJqE9wRNAnLLcg1fe9P3mpwb7BEsOQIfo46BqyNXjqbmyS2pP6A35zi7ptMBy5YB8+cDNTVAcDDwxRfADTfIWpYl1hPgGgXyavYWbHv37sV7772Hs2fPQhAEdO7cGY899hgGDRpk7hrNiu3uREREtsccrfTilnKuRq30+jBvDa30xVXFkvPfE/ITkF+R3+C5oV6hku3z0b7RcHaQb3SPrN++pHxM/MS0q+NK62cMaNsj6RkZwL33Ar//Lt6+5Rbg008Bf39Zy7LEegJco8AyuE96AxjSiYiI7Iu+lT5NU44LBcat9GmacmQVNW1Verlb6aUUVBRIhvcETQIKKwvrPU8BBcK9ww3BvaNfR0OAj/KJgqNK/g8nSF76OenZRZWSSyFyTjqAH34AHngA0GgANzdg+XLxtsyLw1liPQGuUWA5rRLStVotNm7ciNOnT0OhUCAuLg4333wzVCpVs4puLQzpREREbcuVrfSG/eHrtNI3RKkAgr1dEVpnFD6szvZycq5KLwgC8ivy6x2BL6kuqfdclUKFSJ9IyRb6CJ8IOCibNSuSbJB+5BSAUVBv8yOnpaXAU0+JI+YA0Lcv8NVXQKdO8tZ1iSW6INhZYTkWXzguMTERY8eORUZGBjp16gRBEHDu3DmEhYVh8+bNiI6OblbhRERERObmqFIi3M8N4X5uko+XVtXWaZ+vMF7YrkBspc8orEBGYQX+TtaYnF+3lV6/Mn1rtdIrFAr4u/nD380fA8MGGj0mCAJyy3KNwvu5/HNI0CQgUZMoLnBXkISkgiRswzajcx2VjojyjZJsoQ/zCoNKad2DMtQ0o7sF48PJfUzmIAe15TnIBw8CkyYBCQniiPncucDChYCTk9yVGVhiPQGuUWAdmhXSH3/8cURHR2P//v2G1dzz8/MxefJkPP7449i8ebNZiyQiIiKyFA9nB3QJ9kKX4PpXpde30otz4o1b6atqdUjMLUVibqnk9X3dHC+F+Mut9PpReEu20isUCgR6BCLQIxBDwoeYPK/MkkzJ0fekgiRU1lbiXP45nMs/Z3JdJ5UTon2jJUfgQ7xCoFTIOzWAmmd0t2DcEBfE1by1WuDNN4GXXgJqa4HQUGDtWmDECLkrMxHg6WLW4yx1TWq6ZrW7u7u7Y//+/eje3XjV0qNHj2Lw4MEoLZX+n5Q1YLs7ERERmUuNVofMwgrDVnKGVvpLo/JNaaXXj8LL3UqvE3S4UHxBsoX+fMF5VGvrf06uDq6IVkdLjsAHewTLNi2AqFHS0oApU4Ddu8Xb//kP8NFHgK/pjhTWwBLrCXCNAsuxeLu7s7MzSkpM5ziVlpbCyYpaQIiIiIgsyVGlRISfOyL83CUfr9tKL47GVzSpld7FUYlQX+NW+suj8pZppVcqlAj3Dke4dziu63Cd0WNanRZpRWmSI/DJhcmoqK3AidwTOJF7wuS67o7uiFHHSI7AB7gHMMCTvL79FnjoIaCoCPDwAFauFFdzt+L3pUqpwILxcZi57hAUkF5PYMH4uCaFaUtck5quWSPpU6dOxaFDh/DZZ58hPj4eAPD3339jxowZ6Nu3L9asWWPuOs2GI+lERERkDQRBQF5pFdI1FUat9PqV6RuzKr2hlb5OcG+NVnopNdoapBalSo7ApxSmQCfUv02el7OX8ch7nT/7uXFxKmo5rU6QbuUvLgYeewz48kvxwP79gXXrgJgYeQtuAu6Tbhssvrp7YWEh7r33XmzatAmOjuInuDU1Nbjlllvw+eefw8fHp1mFtwaGdCIiIrIFdVvp9SPvLW2lD6+zvVxrttJXa6uRXJAsOQKfVpQGQbKxVuTr4isZ3mP9YuHj4tMq9ZNtqy9wLgsrx4AFTwLnzwNKJfD888CLLwKOtrc1Yb0fQljZNduyVtsnPTExEadPn4YgCIiLi0OMDXzixJBORERE9kCqlf7y9nJiK31D9K304ZdWpm+NVnoplbWVSNIkSQb4jJKMBs/1d/OvdwTe09mzVeon66bfXq5u4FHptJi17794fO96OAg6ICJCHD0fMqTe6xC1lEVC+uzZsxtdwNKlSxt9bGtjSCciIiJ7V7eVPr1OcLe1VvrymnIkahIlW+izS7MbPDfQPVAyvMeoY+DuJL2GANkX/SJodUfQQwuzsfznd9Av4zQAYFuv63DDju+g8vWRqUpqKyyycNzhw4cbdRwX/SAiIiKSl0KhQICnCwI8XdA3wnRlaqlW+jRNOS7UaaUvKK9BQXkRjl0oMjm/tVrp3Rzd0COwB3oE9jB5rKSqRAzwEiPweeV5yCnLQU5ZDvak7TE5t71ne8n2+WjfaLg6ura4brIOB5I1lwO6IODWUzvx6q8fwLO6AsVObnjxxpn4setIrNdoMdA6F3CnNqpF7e62iCPpRERERA3Tt9Lr2+dtrZW+qLJIMrwnaBKgqTBdRV9PAQVCvUKNRuA7+nVErF8sOvh2gJOKuxjZkh+PZOCJb47g/+3deVxVdf7H8fdlkUXhCiiCiop7ZO6Rtk9mORbTzK+mmcw0LVNbNG1R24ypyanMTC3LssxcarJlYlLHNjW33EuzcokSFSVFARUQuOf3xwn0ygVB4Z67vJ6PB4/hezj33g93zsPum+/nfL+RBUf11JLpuuGHZZKkdU2SNCrlAe2xN5IkvfT3zrqhcxMrS4UfqPUt2AAAAOC76oUE6bz4SJ0XX/6DpKtW+pML25mt9AVFDu3MOqqdWUddPv/prfSnzsLXRCu9PdSu7o27q3vj7uV+lp2f7bJ9fsehHcopzFFGboYycjP0ZfqXTo8LsAWoub25yxb6FvVbKDjQ+xYb83WxEaG6MGOrXvzvC2qa+5uKbQF66ZJb9ErPm1USEOh0HuBJmEkHAABAjTlR7FBmTn7Z/e+uWukrU9pKXxranVrpo8PVsF7trEpvGIYOHj9Y4Qz80ROu/+AgSYG2QCVGJbpsoW9ub67AUwIh3KSoSI7UVBnPTFCg4dCv9eN0//UPalOT9mWn2CTF2UO1YsxVrFqOWue21d29ESEdAADAOt7YSm8Yhg4cO1AW2Lcf2l4W4Hdm71R+cX6Fjw0OCFbLqJYuZ+AT7AkKsLlvL/tz4VXbce3cKd16q7R2rSTp/Q5XK/Xqu3Q0JLzslNLKp/fvyr7fcAtCeiUI6QAAAJ6pKq30VVmVvll0uJqe1krfLNpspQ8OrNlQ7DAc2pe3z2UL/a7sXSosKazwsSGBIWoV3crlDHzjiMYeE+Ar2md8fEqSZwVcw5BmzZLuu086dkyqX1967TUtTrrMO+qHTyOkV4KQDgAA4J0qa6XfnX1ch48XVfr401vpS1emr61WeofhUEZOhssW+p8P/6wiR8X1hgWFqXV0a5cz8HH14ty2o5KrfcYlD5yJzs6Whg6VFiwwx1dcIb3zjpSQIMnLOgHgkwjplSCkAwAA+Ka8gqKy8H5yf/iT7fSFxWdupS+9D/7UVvrSMF8vpObWXC52FGt3zm6XM/Dph9NVYpRU+Nh6deqpdXRrc+X50wJ8g/AGNRbgXe0zfiqPuaf7q6+k226T9u6VgoKkp5+WHnxQCmQtAHgOQnolCOkAAAD+52Qr/fGydvpzaaVvdsp98DXdSl9UUqRfjvzicgb+15xf5TAq/mODPcTucva9TUwbRYdFV6uO1bsO6ZbX15zxvPlDeqhnq5hqPXeNOHFCevxx6fnnzVb3tm2lefOkbt3cXwtwBmzBBgAAAJzCZrMpNiJUsRGh6ta8/M9Pb6UvDfCnttKbXzn6dk9OucdX3EpvBvnqtNIHBwab4TqmjdTG+WeFxYVKP5LucgY+IydDOYU5Wr9vvdbvW1/ueaPDop2D+ynf20Pt5c7PynM9g36259WoH380F4fbuNEc33WXNGmSVLeu+2sBapilIf3JJ59Uamqq07FGjRpp//79FT5m2bJlGj16tL7//ns1btxYDz/8sIYNG1bbpQIAAMCH1QkKUPOYumoe4zrkVaWVfu+RfO09kq81yi73+FNb6ZtFh6vp7+301W2lDwkKUfsG7dW+QftyP8svyteuw7tcBvh9efuUnZ+tb/Z+o2/2flPusQ3DG5YL78eLGsqhfAUorNKa3LrPuGFIM2ZIo0ZJ+flSTIz0xhvSn//svhqAWmb5TPr555+vzz//vGwcWMm9I+np6erbt6+GDBmiOXPmaOXKlbr77rvVsGFD3Xjjje4oFwAAAH4oIjRYSY2DldS4fJvq6a30p24pV9pKX1Dk0I6so9qR5Xq/9ZpopQ8LDlOH2A7qENuh3M+OnTimndk7XbbQHzh2QL8d/02/Hf9NqzJWnfakUqARpSBHYwUZjRVsNFaQw/zfYCNeje31lZxYvTb6s/bbb9Kdd0qffGKOe/c2V3Nv3Ng9rw+4iaX3pD/55JP6+OOPtXnz5iqdP2bMGH3yySf64Ycfyo4NGzZM3377rVavXl2l5+CedAAAALjTiWKH9h3JLwvtJ++FN7/OflX66rfSu5JbmGsG+NPC+47sHTp4/GClj40Ji9cFjdo5zcC3jWmrllEtFRpUgzPsS5ZIAwdK+/dLdepI//qXNHKkFOAZ29QBZ+JV96Tv2LFDjRs3VkhIiC666CI988wzatmypctzV69erWuuucbp2LXXXquZM2eqqKhIwcHB5R5TWFiowsKT+1Pm5ubW7C8AAAAAVKJOUIBaNKirFg08s5U+MiRSXeO7qmt813I/O1JwRG+vXa1py7/WbwW/qti2T0UB+1QSkKkS5elQfqaW/pKppb8sdXqcTTY1szdzef97YlSi6gTWqdqbV1AgjRsnTZ5sjpOSzMXhOnWq2uN/xxZs8CaWzqQvWrRIx48fV9u2bXXgwAE9/fTT+vHHH/X9998rJqb8CpFt27bV7bffrkceeaTs2KpVq3TJJZdo3759io8vv0ejq/veJTGTDgAAAI9nGIZ+yyt0noX/fTG7PYertip9dN06SogKc2qlb/b7LHxVW+ldhdwjBdku2+d3ZO9QbmHFE2MBtgC1qN/C5Qr0Leq3UFDA739U2LpV6tdP2rLFHN97r/Tcc1JY5ffIn27x1kylpm1z2kou3h6q8SlJnrHHO/yC127BduzYMbVq1UoPP/ywRo8eXe7nbdu21aBBgzRu3LiyYytXrtSll16qzMxMxcXFlXuMq5n0hIQEQjoAAAC83qmt9KUr059tK/3Je+HPrZXeMAz9dvw3pwXstmdv145DO7Qze6eOFR2r8LFBAUFKtLfQ6A11dMf8nxRcVKLCmPo6/PJENfzr7QoMqN7e54u3Zmr4nI06PfCU/kbT+3clqMMtvKrd/VR169bVBRdcoB07drj8eVxcXLmV37OyshQUFORy5l2SQkJCFBISUuO1AgAAAFY7m1b63b+305drpf+5aq30p94T76qV3mazKbZurGLrxuqSZpc4/cwwDGUezXS5Av3O7J2KPFKgybN3qu9O8/yFraVBfz6irB/vVJ1n7lbLqJYuZ+CbRjZVgM25I6DEYSg1bVu5gC5Jhsygnpq2Tb2T4mh9h0fxqJBeWFioH374QZdddpnLn/fs2VNpaWlOx5YsWaLu3bu7vB8dAAAA8GdnXJX+91b6sln4U1rp91VhVfrSVvqy2fcztNLbbDY1jmisxhGNdUWLK5x+5vhvmoxBgxR48JCK6wQp7c7LNevSuorJ3qkjh3fpRMkJ/XjwR/148MdydYQGhapVVCune+BPFMQqI+eIAhUjm8qHcENSZk6B1qZnq2cr1xN+gBUsbXd/8MEHlZKSombNmikrK0tPP/20li1bpi1btqh58+YaN26c9u7dq9mzZ0syt2Dr0KGDhg4dqiFDhmj16tUaNmyY5s+fX+Ut2FjdHQAAADgzl630p6xMfzat9M1iwtU06rRW+vx86aGHpJdfNh94wQXS/PnS+eeXPVeJo0QZuRkuZ+B/Pvyzih3FFdZhM0IUZMT/vn1cE/N/jcYKdjRWgOpryt+76IbOTWrkPQMq4jX3pP/973/X8uXLdfDgQTVs2FA9evTQU089paSkJEnS7bffrl9++UVLly4te8yyZcs0atQoff/992rcuLHGjBmjYcOGVfk1CekAAADAuSttpTdn3l230lcmLDhQl+fv1fj5/1TjfemSpF8G3KWCJ59S08bRZ1yVvlSxo1i/Hvm1XHjfsv8n7c37VbJVXIfNCFPbmDbqHH9euRb6mLCYc9raDjiV14R0KxDSAQAAgNrlcBg6eNS5lb50Zfo9h/OVeeSYBq39jx5e/rZCSoqVVTdKD/a9X8tbdit7jtNb6U8ubFe1VelLHIYu/tf/tDdvt07Y9pVtH1ds26ci2z6V2LIkW8VRqH5ofefgfsr3UWFRNfZewT8Q0itBSAcAAAAstG+fHAMHKuDzzyVJGZddrQ/vTtX2ktCyUH+khlrpS1d3l+S0gJxNkqEiPfKnaDWKPlxuFn5P7p5KXz8mLMZleG8T00aRIWQMlEdIrwQhHQAAALDIxx9Ld94pHTpk7nf+4ovSXXdJp7WVn95KXzoLX51W+tKV6B2GoQ2/HlZuwcn71s+0T/rxouPalb3L5T7wmUczK33t2LqxLmfgW0e3Vr069ar2PsHnENIrQUgHAAAA3OzYMWn0aGnGDHPcpYs0b57Uvn21n6q0lX532SJ2J1vpM7KPKzO3QGdKONHhdZQQE17WTt/slJXp4+uHVtpKf/TEUe3M3lkuvO/I3qGsY1mVvm58vXiXM/Cto1srLDis2u8FvAchvRKEdAAAAP9Q4jC0Nj1bWXkFio0IVXJiNPthW2HDBqlfP2n7dnPG/KGHpKeekurUqZWXK12VvjTE784+rj3Z+dVupS/dSu7UVvpm0eFqUK9OhQvK5RTkmAHexQz8ofxDlb5uQmSCywDfMqqlQoJCzvr9gGcgpFeCkA4AAOD7Fm/NVGraNmXmFJQdO1OLM2pYSYk0caL02GNScbHUpIk0e7Z01VWWlpVbUPT7rHu+Uyt96f7w1WmlP7k//MkF7ipalf5wfvl730u/P1JwpMLXC7AFqJm9mcv73xPrJyo4MPhc3g64CSG9EoR0AAAA31a6WNjpH3JL5z6n9+9KUK9tGRnSgAFS6VbKN95otrpHR1ta1pmc3kq/+1B+2b7wVW6lr1vHKbifqZXeMAwdyj9Ubg/47Ye2a0f2Dh09cbTC1wq0BapF/RYuZ+Cb12+uoICqbWOH2kdIrwQhHQAAwHeVOAxd+uyXTjPop7JJirOHasWYq2h9ry3vv28uBnfkiFS3rjR1qnT77eUWh/NGNd1KXzobX1ErvWEYOnDsQLkAvyN7h3Zm79TxouMVvlZwQLASoxJdzsAnRCYoMCCwxt4XnBkhvRKEdAAAAN+1etch3fL6mjOeN39ID/VsFeOGivxIXp40YoQ0a5Y5Tk6W5s6VWre2tCx3qolW+tL74E9tpW8WY87G1z2lld4wDO3L2+eyhX5n9k4VlhRW+DohgSFqGdXS5Qx8k8gmCrBVvgc9qq86OZT+BwAAAPiMrDzXM+hnex6qaM0a6dZbpZ9/lgICpEcekZ54Qgr2r/ulI0ODdX5ju85vbC/3M4fD0G9HC3/fSu5kK705G2+20ucXlWj7gaPafsB1i/uprfRl98RHddC1LZJ1e+eTrfQOw6E9uXtczsDvyt6lwpJC/XDwB/1w8IdyrxEWFKZW0a3KwnvbmLZlAT6uXlyFi+ah5hDSAQAA4DNiI0Jr9DycQXGxNGGClJpqLhTXrJk0Z4502WVWV+ZxAgJsahQZqkaRoereovy9+YXFJdp3pKBs5j3jsNlKX/r9keNFyj52QtnHTujbjCPlHh8YYFO8PfT3WfjSEN9eybFddWO7k630JY4S7c7Z7XIGPv1IuvKL87U1a6u2Zm0t9xr16tRT6+jWLlvoG4Y3JMDXENrdAQAA4DNK70nfn1NQbuE4iXvSz5bL7ex2/yr17y+tXGmedMst0iuvSPXrW1qrrzq1lT6jbI/4mm2lLyop0q85v7qcgf/lyC9yGBW/RmRIpHNwP+X7mHBuLeGe9EoQ0gEAAHxb6erukpyCOqu7nx1X29kNTF+pxxZOU/DRPCkiQpo+3Wx3hyWq0kp/ptQXU7eOmp7WSl+6Mn18/VAZKlb64fSTK8+fEuAzcjJkuPyzmCkqNMpleG8T00b1Q+vX7JvhoQjplSCkAwAA+D72Sa8Zp29nF1F4TE8teUV/3rZMknS4c3dFffhvKTHRuiJxRlVppa/Mqa30pSvTn5yND1e9UId+Pvyzyxb6vXl7K33uBuENKpyBjwiJqMm3wVKE9EoQ0gEAAPyDyxZtWtyr7PTt7Lrv+V6T015Q09wsFdsCNOWSW/ThtQO07JHevK9ezlUrfenK9BmH83XiLFrpS8N8TD0p89gvLlvo9x/dX+nzNqrbyGV4bx3dWnXr1K3Jt6DWEdIrQUgHAAAAzqx0O7ugkmKNWDlf96x5X4GGQ7vtjXR/yoPa2OQ8SWxn5+tObaXfXRrkz7KVvtnv7fSlIT6qbomOOvbolyO7ys3A/3b8t0qfs0lEE5cBvlV0K4UGed7CkGzBBgAAAOCcZOUVqNnhTL2UNlFdMn+SJC3o0EtPXj1UR0PCnc6D7zqbVekzTgnzR44X6dCxEzpU6ar0DZQQ1UzNolPUvUWYErqGq37dIp3QPv1W8It2Zu90moXPzs/W3ry92pu3V0t/Wer0fDbZlGBPcHn/e8uolqoTWKeW3qmaw0w6AAAAAGeGoZ3Pv6y4xx9WvRP5yg2pq0euvUf/Pe/ycqcyk47KnGyld56FP5dW+vr1ClVs26ejxRnanftz2Qz89kPblVuYW+FzBdgC1Nze3OUMfIv6LRQcGFzTv34Z2t0rQUgHAAAAKnH4sDR0qPT++5KkbxI6aNT1o7UvMtbpNLazw7ly1Up/cmG76rfSN60fKnu9fBmBmTru2KPfCn7Vz4dPzsIfKzpW4fME2gKVGJXocga+ub25AgMCz+l3JaRXgpAOAAAAVGDpUum226Q9e6SgIP10z0PqW6eHHAGBbGcHtyttpT85835yRn539nHl5Fd9VfqEqDDZI47KFrRfBdqrIycytDfPnIXfmb1T+cX5FT5PcECwWka1dDkDn2BPUIAt4Iy/CyG9EoR0AAAA4DQnTkhPPCE995xkGFKbNtK8eVL37mxnB491eiu90z3x1WqlD5W93lEF1jmgooB9yivaraz8X/XzkZ3alb1LhSWFFT5HSGCIWkW3cjkD3ySiiWw2809ahPRKENIBAACAU/z0k9Svn7Rxozm+807pxRelevXKTmE7O3ib0lb63RWE+P1VbKVvEhWiqMg81Qk5IEdApo459uhgwa/KyPtZ6Yd/VpGj4tn8sKAwtY5ubbbMhzTXi39+kZDuCiEdAAAAkDlj/sYb0v33S8ePS9HR0uuvS//3f1ZX5vX4o4bnK9dKXxbgq95KHxcZrBh7rkLDsmQEZarA2KvDhbu171i6duf8ohKj5OQDCiT9S2zBBgAAAMCFgwelIUOkjz82x716SW+/LTVpYmlZvoDbA7xDSFCgEhvUVWKDui5/npNvttLvOew8C787+7j2/N5Kv/fICe09Eiqp2e9fJ7UONhRjz1G9ur/JFrxf+QW/aLneq1JtzKQDAAAA/uSzz6SBA6XMTCk4WJowQRo1Sgo48+JXqNzirZkaPmejTg9YLLTnW05vpd99yvZyFbXSOwqPK2PyzcykAwAAAPhdYaH0yCPSpEnm+LzzzMXhOne2tCxfUeIwlJq2rVxAlyRDZlBPTdum3klxtL57uYAAmxpFhqpRZKgubBFd7ueFxSXaezhfGYfzy1rpd+3N0swqPj8hHQAAAPB1339vLg733Xfm+O67peefl8LDra3Lh6xNz3ZqcT+dISkzp0Br07PVs1WM+wqD24UEBaplw3pq2fDk4ou5uU00866qPZ6eFgAAAMBXGYb08stS9+5mQG/YUEpLM48R0GtUVl7FAf1szoP/YiYdAAAA8EUHDkiDB0sLF5rjPn2kt96S4uKsrctHxUaE1uh58F/MpAMAAAC+ZuFCqWNH839DQqQpU8zvCei1JjkxWvH2UFV0t7lN5irvyYnl72EGTkVIBwAAAHxFfr50333SdddJWVlShw7S+vXmMRuLldWmwACbxqckSVK5oF46Hp+SxKJxOCNCOgAAAOALvv3WvPd82jRzPHKktG6dGdThFn06xGt6/66Kszu3tMfZQ9l+DVXGPekAAACAN3M4pJdeksaOlU6ckBo1kmbNMu9Bh9v16RCv3klxWpueray8AsVGmC3uzKCjqgjpAAAAgLfKzJRuv11assQcp6RIM2eaq7jDMoEBNrZZw1mj3R0AAADwRv/5j3TBBWZADwuTpk83jxHQAa/GTDoAAADgTY4dkx54QHrtNXPcubM0b5503nmWlgWgZjCTDgAAAHiLjRulbt1OBvSHHpLWrCGgAz6EkA4AAAB4OodDeu45qUcP6aefpMaNpc8/N4+FhFhdHYAaRLs7AAAA4Mn27JEGDJC++soc/9//STNmSDEsTAb4ImbSAQAAAE+1YIHUsaMZ0OvWNVduX7CAgA74MGbSAQAAAE+TlyeNHCm99ZY5vvBCae5cqU0ba+sCUOuYSQcAAAA8yTffSF26mAHdZpMeeURauZKADvgJZtIBAAAAT1BSIk2YID35pPl9QoI0Z450+eVWVwbAjQjpAAAAgNV+/VXq319ascIc/+1v0quvSvXrW1oWAPej3R0AAACw0vz55uJwK1ZIERHS7NnmMQI64JeYSQcAAACskJMj3Xuv2dIuST17mt+3bGltXQAsxUw6AAAA4G4rV0qdO5uhPCDAvA99+XICOgBm0gEAAAC3KS6WnnpKevppyeGQWrQwt1a7+GKrKwPgIQjpAAAAgDvs2mUuDrdmjTm+7TZp2jQpMtLaugB4FNrdAQAAgNpkGNLbb5vt7WvWSHa7NG+euUAcAR3AaZhJBwAAAGrL4cPSsGHSv/9tji+7THrnHal5c2vrAuCxmEkHAAAAasOyZVKnTmZADwqS/vlP6auvCOgAKsVMOgAAAFCTTpwwV2v/17/MVvfWrc3F4ZKTra4MgBcgpAMAAAA1Zft26dZbpfXrzfEdd0iTJ0v16llaFgDvQbs7AAAAcK4MQ3rjDalLFzOgR0VJCxaYxwjoAKqBmXQAAADgXBw6JA0ZIn30kTm+6ipzNfemTa2tC4BXYiYdAAAAOFuffy517GgG9OBg6fnnpc8+I6ADOGvMpAMAAADVVVgoPfqo9MIL5rh9e3Pv8y5drK0LgNcjpAMAAADVsW2b1K+f9O235nj4cGniRCk83Nq6APgE2t0BAACAqjAM6ZVXpG7dzIDeoIH0ySfmMQI6gBrCTDoAAABwJllZ0uDB0qefmuNrr5VmzZLi4iwtC4DvYSYdAAAAqMyiRdIFF5gBPSREeuklaeFCAjqAWsFMOgAAAOBKfr40Zow0dao5Pv98af58M7ADQC0hpAMAAACn27LFXBxu61ZzPGKESp6ZoLX785W1ea9iI0KVnBitwACbtXX6qBKHobXp2crKK+C9ht8hpAMAAAClHA5z5nzMGHObtUaNpLfe0uKEzkqdslqZOQVlp8bbQzU+JUl9OsRbWLDvWbw1U6lp23iv4be4Jx0AUONKHIZW7zqk/2zeq9W7DqnEYVhdEgCcWWam1LevdP/9ZkC//nrpu++0OKGzhs/Z6BQaJWl/ToGGz9moxVszranXBy3emsl7Db/HTDoAoEYxAwLAK33yiXTHHdLBg1JoqDRpkjRsmEoMKXXml3L1p0ZDkk1Sato29U6Kox37HJU4DKWmbeO9ht9jJh0AUGOYAQHgdY4fl4YPl264wQzonTpJGzaYx2w2rU3PLvdv2qkMSZk5BVqbnu2+mn0U7zVgIqQDAGrEmWZAJHMGhNZ3AB5j0yapWzfp1VfN8QMPSN98IyUllZ2SlVdxaDxVVc9DxXivARMhHQBQI5gBAeA1HA5p4kTpooukH3+U4uOlzz4zj4WEOJ0aGxFapaes6nmoGO81YCKkAwBqBDMgALzC3r1S797SQw9JRUXSX/5ibrd29dUuT09OjFa8PVQV3QFtk7nuRnJidK2V7C94rwETIR0AUCOYAQHg8T74QLrgAunLL6XwcOn1181jMTEVPiQwwKbxKWb7++nhsXQ8PiWJhcxqAO81YCKkAwBqBDMgADzW0aPSnXdKN90kHT5s3oe+aZN5zHbmwNenQ7ym9++qOLvzHxnj7KGa3r+rX+xc4a6tNXmvAclmGIZfreCTm5sru92unJwcRUZGWl0OAPiU0tXdJTktIFf6EZgPWADcbt06qV8/aedOM5CPHSs9+aRUp061n6rEYWhteray8goUG2H+0dEfZnWt2FrTX99r+K7q5FBCOgCgRrFPOgCPUFIiPfusNH68VFwsJSRI77wjXXGF1ZV5ldI/vp4eGPjjK1A91cmhQW6qCQDgJ/p0iFfvpDhmQABY59dfpdtuk77+2hzffLO5zVpUlLV1eZkzba1pk7m1Zu+kOP6NB2oQIR0AUOMCA2zq2arihZgAoNa8+640bJiUkyPVqye9/LIZ2Ktw7zmcVWdrTf7NB2oOIR0AAADeLzdXuvdes6Vdknr0kObMkVq1srYuL8bWmoA1WN0dAAAA3m3VKqlzZzOgBwRITzxhtroT0M8JW2sC1iCkAwAAwDsVF5srtV92mZSeLrVoIS1fLqWmSkE0jJ4rttYErEFIBwAAgPf5+Wfp8svNQO5wSP37S5s3S5dcYnVlPiMwwKbxKUmSVC6ol47HpySxaBxQwwjpAAAA8B6GIc2ebba3r14tRUZKc+eare52u9XV+Zw+HeI1vX9XxdmdW9rj7KG1uv1aicPQ6l2H9J/Ne7V61yGVOPxq12j4OfqAAAAA4B0OH5aGD5fee88cX3qpGc5btLC0LF/n7q01F2/NVGraNqeV5ePtoRqfksSe7PALNsMw/OrPUtXZRB4AAAAeYtkycyu1jAwpMNBscx871vwePmPx1kwNn7Ox3N7spX8OqM3Ze6A2VSeH0u4OAAAAz1VUJD36qPSHP5gBvVUraeVK8xgB3aeUOAylpm0rF9AllR1LTdtG6zt8HiEdAAAAnmnHDnMhuGeeMe9FHzxY2rRJuugiqytDLVibnu3U4n46Q1JmToHWpme7ryjAAoR0AAAAeBbDkGbOlLp0kdatk6KipPffN49FRFhdHWpJVl7FAf1szgO8FQvHAQAAwHMcOiTddZf04Yfm+A9/MFdzb9rU2rpQ62IjQs98UjXOA7wVM+kAAADwDF98IXXsaAb04GDp2Welzz4joPuJ5MRoxdtDy+3JXsomc5X35MRod5YFuB0hHQAAANYqLJQefljq3Vvat09q187cA/3hh1kczo8EBtg0PiVJksoF9dLx+JSkWtv6DfAUhHQAAABY54cfpJ49peefN+9FHzpU2rBB6tbN6spggT4d4jW9f1fF2Z1b2uPsoWy/Br/BPekAAABwP8OQXntNGj1ays+XYmLMheFuuMHqymCxPh3i1TspTmvTs5WVV6DYCLPFnRl0+AtCOgAAANzrt9+kO+6Q0tLM8TXXSLNmSfHMksIUGGBTz1YxVpcBWIJ2dwAAALjP4sXSBReYAb1OHenFF6VFiwjoAPA7ZtIBAABQ+woKpLFjpZdeMsdJSdL8+eZq7gCAMoR0AAAA1K4tW6R+/aStW83xvfdKzz0nhYVZWxcAeCDa3QEAAFA7DEOaMkW68EIzoMfGSp9+Kk2dSkAHgAowkw4AAICat3+/NGiQeQ+6JPXtK735ptSokbV1AYCHI6QDAACgZqWlSYMHSwcPSqGh0sSJ0t13Sza20ELVlDgMtmCD3/KYdvcJEybIZrPp/vvvr/CcpUuXymazlfv68ccf3VcoAAAAXDt+3Azjf/qTGdA7dpTWr5fuuYeAjipbvDVTlz77pW55fY1GvrtZt7y+Rpc++6UWb820ujTALTxiJn3dunWaMWOGOlZxdc+ffvpJkZGRZeOGDRvWVmkAAACoik2bzMXhSidPRo+WnnlGCgmxti54lcVbMzV8zkYZpx3fn1Og4XM2anr/rurTge364Nssn0k/evSobr31Vr3++uuKioqq0mNiY2MVFxdX9hUYGFjLVQIAAMAlh8NsZ7/oIjOgx8dLS5ZIL7xAQEe1lDgMpaZtKxfQJZUdS03bphKHqzMA32F5SL/nnnt03XXX6eqrr67yY7p06aL4+Hj16tVLX331VaXnFhYWKjc31+kLAAAANWDvXumaa6SHHpKKiqQbbpC++07q3dvqyuCF1qZnKzOnoMKfG5Iycwq0Nj3bfUUBFrA0pL/77rvauHGjJkyYUKXz4+PjNWPGDH3wwQf68MMP1a5dO/Xq1UvLly+v8DETJkyQ3W4v+0pISKip8gEAAPzXRx+Z95x/8YUUHi7NmGEea9DA6srgpbLyKg7oZ3Me4K0suyc9IyNDI0eO1JIlSxQaGlqlx7Rr107t2rUrG/fs2VMZGRmaOHGiLr/8cpePGTdunEaPHl02zs3NJagDAACcraNHpVGjpDfeMMfduklz50qnfEYDzkZsRNUyQVXPA7yVZTPpGzZsUFZWlrp166agoCAFBQVp2bJlmjJlioKCglRSUlKl5+nRo4d27NhR4c9DQkIUGRnp9AUAAICzsG6d1LWrGdBtNmnsWGnVKgI6akRyYrTi7aGqaB8Am6R4u7kdG+DLLAvpvXr10pYtW7R58+ayr+7du+vWW2/V5s2bq7wY3KZNmxQfzwqPAAAAtaakRJowQbr4YmnHDqlpU+nLL81jdepYXR18RGCATeNTkiSpXFAvHY9PSWK/dPg8y9rdIyIi1KFDB6djdevWVUxMTNnxcePGae/evZo9e7YkafLkyWrRooXOP/98nThxQnPmzNEHH3ygDz74wO31AwAA+IXdu6XbbpNK1wD661+l116TqrgrD1AdfTrEa3r/rkpN2+a0iFycPVTjU5LYfg1+wSP2Sa9IZmamdu/eXTY+ceKEHnzwQe3du1dhYWE6//zz9emnn6pv374WVgkAAOCj3ntPGjpUysmR6tWTpk6VBg40W92BWtKnQ7x6J8VpbXq2svIKFBthtrgzgw5/YTMMw682GszNzZXdbldOTg73pwMAALiSmyvdd5/0ezejLrpImjNHat3a2roAwEtVJ4davk86AAAAPMjq1VKXLmZADwiQHn9c+vprAjoAuIlHt7sDAADATYqLpWeekf7xD3OhuObNzdnzSy+1ujIA8CuEdAAAAH+Xni71729upyZJ/fpJr7wi2e3W1gUAfoh2dwAAAH9lGOZseadOZkCPjDTHc+cS0AHAIsykAwAA+KMjR6S775bmzzfHl1wivfOOlJhoaVkA4O+YSQcAAPA3X39tzp7Pny8FBpr3oS9dSkAHAA/ATDoAAIC/KCqSUlOlCRMkh0Nq2dJsbe/Rw+rK4OFKHIZb9y139+sBnoSQDgAA4A927JBuvVVat84c3367NGWKFBFhaVnwfIu3Zio1bZsycwrKjsXbQzU+JUl9OsR7/esBnoZ2dwAAAF9mGNKbb5p7n69bJ9WvL733nvTWWwR0nNHirZkaPmejU2CWpP05BRo+Z6MWb8306tcDPBEhHQAAwFdlZ0s33yzdcYd07Jh0xRXSd9+Zx4AzKHEYSk3bJsPFz0qPpaZtU4nD1Rme/3qApyKkAwAA+KKvvpI6dpQWLJCCgqR//Uv64gspIcHqyuAl1qZnl5vRPpUhKTOnQGvTs73y9QBPxT3pAAAAvuTECenxx6Xnnzdb3du2lebNk7p1s7oyeJmsvIoD89mc52mvB3gqQjoAAICv+PFHc3G4jRvN8V13SZMmSXXrWlvX71ix27vERoTW6Hme9nqApyKkAwAAeDvDkGbMkEaNkvLzpZgY6Y03pD//2erKyrBit/dJToxWvD1U+3MKXN4nbpMUZzf/2OKNrwd4Ku5JBwAA8Ga//WaG8WHDzIDeu7e5OJyHBXRfWLG7xGFo9a5D+s/mvVq965DPL2AWGGDT+JQkSWZAPlXpeHxKUo11Q7j79QBPZTMMw7f/dTlNbm6u7Ha7cnJyFBkZaXU5AAAAZ2/JEmngQGn/fqlOHXNxuJEjpQDPmYcpcRi69NkvK1wQrHR2dMWYqzw6fPlzJwD7pAPnrjo5lJAOAADgbQoKpHHjpMmTzfF555mLw3XubGVVLq3edUi3vL7mjOfNH9JDPVvFuKGi6ivtBDj9Q3PpnxSm9+/q8+HR3esJsH4BfE11cij3pAMAAHiTrVulfv2kLVvM8T33SM89J4WHW1tXBbx9xe4z7d1tk7l3d++kOJ8OkYEBNrf+EcXdrwd4Es/phQIAAEDFDEOaOlXq3t0M6A0bSmlp0rRpHhvQJe9fsZu9uwG4GyEdAADA0x04IF13nTRihFRYKP3xj2ZQv/56qys7o9IVuyuaY7bJvN/YU1fs9vZOAADeh5AOAADgyT79VLrgAmnRIikkxJxN//RTqVEjqyurEm9fsdvbOwEAeB9COgAAgCfKz5fuvdecLf/tNzOor19vHrN5ZqCtSJ8O8Zrev6vi7M5BNs4e6vGLrnl7JwAA78PCcQAAAJ5m82ZzcbgffjDHo0ZJzzwjhXrvbG2fDvHqnRTndSt2l3YCDJ+zUTbJaQE5b+gEAOB92IINAADAUzgc5rZq48ZJJ05IcXHSrFnStddaXVmt8/Qtt9i7G8C5YAs2AAAAb7NvnzRwoPT55+b4T3+S3njDXMXdx3lDAPbWTgAA3oeZdAAAAKt9/LF0xx1SdrYUFia9+KJ0111ed+/52Vi8NVPD52wstw956W/u6fesA0BVVCeHsnAcAACAVY4dk4YOlf7yFzOgd+kibdxoHvODgF7iMJSatq1cQJdO3vudmrZNJQ6/mlMC4OcI6QAAAFbYsEHq2lWaMcMM5A8/LK1ZI7Vvb3VlbrM2Pdupxf10hqTMnAKtTc92X1EAYDHuSQcAAHCnkhJp4kTpscek4mKpSRNp9mzpqqusrsztsvIqDuhncx4A+AJCOgAAgLtkZEgDBkhLl5rjG280Z9Kj/XOP7diIqm0pV9XzAMAX0O4OAADgDu+/L3XsaAb0unWlN980j/lpQJek5MRoxdtDVdHd9zaZq7wnJ/rvewTA/xDSAQAAalNenjRokHTzzdKRI1JysrR5s3nMDxaHq0xggE3jU5IkqVxQLx2PT0limzMAfoWQDgAAUFvWrJE6d5ZmzTID+aOPSitWSK1bW12Zx+jTIV7T+3dVnN25pT3OHsr2awD8EvekAwAA1LTiYmnCBCk11Vworlkz6Z13pMsvt7oyj9SnQ7x6J8VpbXq2svIKFBthtrgzgw7AHxHSAQAAatIvv0j9+0srV5rjv/9dmj5dql/fyqo8XmCATT1bxVhdBgBYjnZ3AACAmjJ3rtSpkxnQIyLM2fN58wjoAIAqYyYdAADgXOXkSHffbQZySbr4YmnOHCkx0dq6AABeh5l0AACAc7FihTl7Pm+eFBho3oe+bBkBHQBwVphJBwAAOBtFRdI//iE984zkcJihfO5cqWdPqysDAHgxQjoAAEB17dwp3XqrtHatOR44UJoyRYqMtLYuAIDXo90dAACgqgxDeustc+/ztWslu116911zH3QCOgCgBjCTDgAAUBXZ2dKwYdL775vjyy83V29v1szauuA2JQ6DvdwB1DpCOgAAwJksXSrddpu0Z48UFCQ99ZT00EPmQnHwC4u3Zio1bZsycwrKjsXbQzU+JUl9OsRbWBkAX0O7OwAAQEVOnJDGjpWuusoM6G3aSKtXm8cI6H5j8dZMDZ+z0SmgS9L+nAINn7NRi7dmWlQZAF9ESAcAAHDlp5/Mldqffda8F/3OO6WNG6Xu3a2uDG5U4jCUmrZNhouflR5LTdumEoerMwCg+gjpAAAApzIM6fXXpa5dzVAeHS198IF5rF49q6uDm61Nzy43g34qQ1JmToHWpme7rygAPo170gEAAEodPCgNGSJ9/LE57tVLevttqUkTS8uCdbLyKg7oZ3MeAJwJM+kAAACS9NlnUseOZkAPDpYmTpSWLCGg+7nYiNAaPQ8AzoSQDgAA/FthofTAA9I110iZmVL79uYe6A88IAXwUcnfJSdGK94eqoo2WrPJXOU9OTHanWUB8GH8lwcAAPiv77+XkpOlSZPM8fDh0oYNUufOlpYFzxEYYNP4lKRKzxmfksR+6QBqDCEdAAD4H8OQXn7ZXKn9u++kBg2kTz6RXnlFCg+3ujp4mD4d4nXX5Yk6PYcH2KS7Lk9kn3QANYqQDgAA/MuBA9L110v33isVFEjXXitt2SKlpFhdGTzU4q2ZmrE8XafvsmYY0ozl6eyTDqBGEdIBAID/WLjQXBxu4UIpJER66SXz+7g4qyuDh2KfdADuRkgHAAC+Lz9fuu8+6brrpKwsqUMHad06acQIFodDpdgnHYC78V8lAADg27791rz3fNo0czxypBnQL7jA2rrgFdgnHYC7EdIBAIBvcjikF180V2/ftk1q1EhatEiaPFkKZU9rVA37pANwtyCrCwAAAKhx+/ZJt98uffaZOU5JkWbOlBo2tLQseJ/SfdL35xS4vC/dJimOfdIB1CBm0gEAgG/5+GNzcbjPPpPCwqTp06X//IeAjrNy6j7pp++EXjpmn3QANYmQDgAAfMOxY9LQodJf/iIdOiR17ixt2CANGybZCFCersRhaPWuQ/rP5r1aveuQR62W3qdDvKb376o4u3NLe5w9VNP7d2Wf9FrgydcDUNtodwcAAN5v40apXz/pp5/M8UMPSU89ZW6zBo+3eGumUtO2Oa2iHm8P1fiUJI8JwH06xKt3UpzWpmcrK69AsRFmizsz6DXPG64HoDbZDMPwqz9L5ebmym63KycnR5GRkVaXAwAAzoXDIU2cKD32mFRUJDVuLM2eLfXqZXVlqKLFWzM1fM7Gcvd7l0ZfZqr9C9cDfFV1cijt7gAAwDvt2SNdfbU0ZowZ0P/v/6TvviOge5ESh6HUtG0uF2QrPZaato1WZz/B9QCYCOkAAMD7LFhgLg731VdS3brmyu0LFkgxMVZXhmpYm57t1NJ8OkNSZk6B1qZnu68oWIbrATBxTzoAAPAeeXnSyJHSW2+Z4wsvlObOldq0sbYunJWsvIoD2dmcB+/G9QCYmEkHAADe4ZtvpC5dzIBus0mPPCKtXElA92KxEaFnPqka58G7cT0AJkI6AADwbCUl0tNPS5dcIu3aJSUkmG3u//ynFBxsdXU4B8mJ0Yq3h5bbf7yUTeaq3smJ0e4sCxbhegBMhHQAAOC5fv1VuvJK6fHHzbD+t79J334rXXGF1ZWhBgQG2DQ+JUmSygWz0vH4lCS2OfMTXA+AiZAOAAA80/z55uJwK1ZIERHm1mrz50tRUVZXhhrUp0O8pvfvqji7cwtznD2U7bb8ENcDwD7pVpcDAABOl5Mj3XuvNGeOOe7Z0/y+ZUtr60KtKnEYWpueray8AsVGmC3NzJj6L64H+Jrq5FBWdwcAAJ5j5Uqpf3/pl1+kgACzzf2xx6QgPrL4usAAm3q2Ygs9mLge4M/4Lx4AALBecbH01FPmAnEOh9Sihbm12sUXW10ZAABuRUgHAADW2rXLnD1fs8Yc33abNG2axG1pAAA/xMJxAADAGoYhvf221LmzGdDtdmnePHOBOAI6AMBPMZMOAADc7/Bhadgw6d//NseXXSa9847UvLm1dQEAYDFm0gEAgHstXWpurfbvf5sLwv3zn9JXXxHQAQAQM+kAAMBdTpyQxo+Xnn3WbHVv3dpcHC452erKAADwGIR0AABQ+7Zvl/r1kzZsMMd33CFNnizVq2dpWQAAeBra3QEAQO0xDOmNN6QuXcyAHhUlLVhgHiOgAwBQDjPpAACgdhw6JA0ZIn30kTm+6ipzNfemTa2tCwAAD8ZMOgAAqHmff24uDvfRR1JwsPT889JnnxHQAQA4A2bSAQBAzSkslB59VHrhBXPcrp2593nXrtbWBQCAlyCkAwCAmrFtm7k43LffmuNhw8ywHh5ubV0AAHgR2t0BAMC5MQzplVekbt3MgN6ggfSf/0jTpxPQAQCoJmbSAQDA2cvKkgYPlj791Bxfc400a5YUH29pWQAAeCtm0gEAwNlZtEi64AIzoNepY+57vmgRAR0AgHPATDoAAKie/HxpzBhp6lRzfP755uJwHTtaWxcAAD6AmXQAAFB1W7ZIycknA/qIEdK6dQR0AABqCCEdAACcUUlxidIff0Yl3S+Utm6V0aiRtHCh9NJLUliY1eUBAOAzCOkAAKBSX321WeuSeijx6UcVeKJQn7e6UNfdMU2LEzpbXRoAAD6HkA4AACq0YeosdbzuCvXYsV4FQXX02DV3684bn9APJWEaPmejFm/NtLpEAAB8CiEdAACUd/y4HMOGqduIQYrJz9W22ERdP3Cy5nTpK9lsMn4/LTVtm0ocRqVPBQAAqo7V3QEAgLONG6V+/RTw00+SpBkX/kUTLx+gE0HBTqcZkjJzCrQ2PVs9W8VYUCgAAL6HkA4AAEwOh/TCC9Kjj0pFRSpo0Eh39LpPK1t0rvRhWXkF7qkPAAA/QLs7AACQ9uyReveWHn5YKiqS/vIXbVn09RkDuiTFRoTWfn0AAPgJQjoAAP7ugw/Mfc6//FIKD5def1364AN17dpa8fZQ2Sp4mE1SvD1UyYnR7qwWAACfRkgHAMBfHT0q3XmndNNN0uHDUrdu0qZN5jGbTYEBNo1PSZKkckG9dDw+JUmBARXFeAAAUF2EdAAA/NG6dVKXLtLMmZLNJo0dK61aJbVt63Ranw7xmt6/q+Lszi3tcfZQTe/fVX06xLuzagAAfB4LxwEA4E9KSqRnn5XGj5eKi6WmTaV33pGuvLLCh/TpEK/eSXFam56trLwCxUaYLe7MoAMAUPMI6QAA+Itff5Vuu036+mtz/Ne/Sq+9JkVFnfGhgQE2tlkDAMANPKbdfcKECbLZbLr//vsrPW/ZsmXq1q2bQkND1bJlS7366qvuKRAAAG/27rtSp05mQK9XT5o1S3rvvSoFdAAA4D4eEdLXrVunGTNmqGPHjpWel56err59++qyyy7Tpk2b9Mgjj2jEiBH64IMP3FQpAABeJjdXGjBAuuUWKSdHuugiafNmaeBA8150AADgUSwP6UePHtWtt96q119/XVFn+Gv+q6++qmbNmmny5Mk677zzdOedd2rw4MGaOHGim6oFAMCLrFolde5s3nMeECA98YQ5k96qldWVAQCAClge0u+55x5dd911uvrqq8947urVq3XNNdc4Hbv22mu1fv16FRUVuXxMYWGhcnNznb4AAPBpxcXSk09Kl10mpadLLVpIy5dLqalScLDV1QEAgEpYunDcu+++q40bN2rdunVVOn///v1q1KiR07FGjRqpuLhYBw8eVHx8+W1gJkyYoNTU1BqpFwAAj/fzz1L//tLq1ea4f39p2jTJbre2LgAAUCWWzaRnZGRo5MiRmjNnjkJDQ8/8gN/ZTrt/zjAMl8dLjRs3Tjk5OWVfGRkZZ180AACeyjCk2bPN9vbVq6XISGnuXLPVnYAOAIDXsGwmfcOGDcrKylK3bt3KjpWUlGj58uWaNm2aCgsLFRgY6PSYuLg47d+/3+lYVlaWgoKCFBPjeluYkJAQhYSE1PwvAACApzh8WBo+3FytXZIuvdQM5y1aWFoWAACoPstCeq9evbRlyxanY4MGDVL79u01ZsyYcgFdknr27Km0tDSnY0uWLFH37t0VzD12AAB/tGyZufd5RoYUGGjedz52rPk9AADwOpaF9IiICHXo0MHpWN26dRUTE1N2fNy4cdq7d69mz54tSRo2bJimTZum0aNHa8iQIVq9erVmzpyp+fPnu71+AAAsVVRkLg43YYLZ6t6qldneftFFVlcGAADOgaULx51JZmamdu/eXTZOTEzUwoULNWrUKL388stq3LixpkyZohtvvNHCKgEAcLMdO6R+/aT1683x4MHS5MlSRISlZQEAgHNnM0pXXvMTubm5stvtysnJUWRkpNXlAABQdYYhvfmmNGKEdPy4FBUlzZgh3XST1ZUBAIBKVCeHevRMOgAA+N2hQ9Jdd0kffmiO//AHczX3pk2trQsAANQoQjoAAJ7uiy+kAQOkffuk4GDp6aelBx5gcTj4lBKHobXp2crKK1BsRKiSE6MVGOB6i10A8GWEdAAAPFVhofT449LEiWare9u20rx50inblwK+YPHWTKWmbVNmTkHZsXh7qManJKlPh3gLKwMA9wuwugAAAODCDz9IPXtKzz9vBvShQ6WNGwno8DmLt2Zq+JyNTgFdkvbnFGj4nI1avDXTosoAwBqEdAAAPIlhSK++aobxTZukmBjp44/NY3XrWl0dUKNKHIZS07bJ1SrGpcdS07apxOFX6xwD8HOEdAAAPMVvv0k33CANHy7l50u9e0vffWceA3zQ2vTscjPopzIkZeYUaG16tvuKAgCLEdIBAPAEixdLF1wgpaVJdepIkyaZxxo3troyoNZk5VUc0M/mPADwBSwcBwCAlQoKpLFjpZdeMsdJSebicJ06WVsX4AaxEaE1eh4A+AJm0gEAsMqWLdKFF54M6PfeK61fT0CH30hOjFa8PVQVbbRmk7nKe3JitDvLAgBLEdIBAHA3w5CmTDED+tatUmys9Omn0tSpUliY1dUBbhMYYNP4lCRJKhfUS8fjU5LYLx2AXyGkAwDgTvv3S337SiNHmvug9+1rLg7Xt6/VlQGW6NMhXtP7d1Wc3bmlPc4equn9u7JPOgC/wz3pAAC4S1qaNHiwdPCgFBoqTZwo3X23ZGOWEP6tT4d49U6K09r0bGXlFSg2wmxxZwYdgD8ipAMAUNuOH5cefFCaPt0cd+xoLg53/vnW1gV4kMAAm3q2irG6DACwHO3uAADUpk2bpG7dTgb00aOltWsJ6AAAwCVCOgAAtcHhMNvZL7pI+vFHKT5eWrJEeuEFKSTE6uoAAICHot0dAICatnevNHCg9MUX5viGG6Q33pAaNLC2LgAA4PGYSQcAoCZ9+KF5z/kXX0jh4dKMGdJHHxHQAQBAlTCTDgBATTh6VLr/fmnmTHPcrZs0d67Urp2lZQEAAO/CTDoAAOdq3Tqpa1czoNts0pgx0qpVBHQAAFBtzKQDAHC2Skqk556TnnhCKi6WmjSR3nlH+sMfrK4MAAB4KUI6AABnY/du6bbbpOXLzfFNN0mvvSZFR1tbFwAA8Gq0uwMAUF3vvWcuDrd8uVS3rvTWW9K//01ABwAA54yZdAAAqio3V7rvPmn2bHOcnGwuDte6tbV1AQAAn8FMOgAAVbF6tdSlixnQAwKkxx+XVqwgoAMAgBrFTDoAAJUpLpaeeUb6xz/MheKaN5fmzJEuvdTqygAAgA8ipAMAUJH0dKl/f3M7NUnq10965RXJbre2LgAA4LNodwcA4HSGYc6Wd+pkBvTISHM8dy4BHQAA1Cpm0gEAONWRI9Ldd0vz55vjSy4x9z5PTLS0LAAA4B+YSQcAoNTXX5uz5/PnS4GB5n3oS5cS0AEAgNswkw4AQFGRlJoqTZggORxSy5Zma3uPHlZXBgAA/AwhHQDg33bskG69VVq3zhzffrs0ZYoUEWFpWQAAwD/R7g4A8E+GIb35prn3+bp1Uv360nvvSW+9RUAHAACWYSYdAOB/srOlu+6SPvjAHF9xhbk4XEKCtXUBAAC/53ch3TAMSVJubq7FlQAALLFsmTR0qJSZaS4O99hj0siR5vf8twEAANSC0vxZmkcrYzOqcpYP2bNnjxKYKQEAAAAAuFlGRoaaNm1a6Tl+F9IdDof27duniIgI2Ww2q8upVG5urhISEpSRkaHIyEiry4GH4jpBVXGtoCq4TlBVXCuoKq4VVIWvXyeGYSgvL0+NGzdWQEDlS8P5Xbt7QEDAGf9y4WkiIyN98kJFzeI6QVVxraAquE5QVVwrqCquFVSFL18ndru9SuexujsAAAAAAB6CkA4AAAAAgIcgpHuwkJAQjR8/XiEhIVaXAg/GdYKq4lpBVXCdoKq4VlBVXCuoCq6Tk/xu4TgAAAAAADwVM+kAAAAAAHgIQjoAAAAAAB6CkA4AAAAAgIcgpAMAAAAA4CEI6RaZPn26OnbsqMjISEVGRqpnz55atGhRlR67cuVKBQUFqXPnzrVbJCx3NtdJYWGhHn30UTVv3lwhISFq1aqV3nzzTTdVDKuczbUyd+5cderUSeHh4YqPj9egQYN06NAhN1UMTzBhwgTZbDbdf//9lZ63bNkydevWTaGhoWrZsqVeffVV9xQIj1GVa+XDDz9U79691bBhw7J/h/73v/+5r0hYrqr/ppTiM63/quq14q+fawnpFmnatKn+9a9/af369Vq/fr2uuuoq3XDDDfr+++8rfVxOTo4GDBigXr16ualSWOlsrpObb75ZX3zxhWbOnKmffvpJ8+fPV/v27d1YNaxQ3WtlxYoVGjBggO644w59//33ev/997Vu3Trdeeedbq4cVlm3bp1mzJihjh07Vnpeenq6+vbtq8suu0ybNm3SI488ohEjRuiDDz5wU6WwWlWvleXLl6t3795auHChNmzYoD/84Q9KSUnRpk2b3FQprFTV66QUn2n9V3WuFb/9XGvAY0RFRRlvvPFGpef87W9/Mx577DFj/PjxRqdOndxTGDxKZdfJokWLDLvdbhw6dMjNVcETVXatPP/880bLli2djk2ZMsVo2rSpO0qDxfLy8ow2bdoYn332mXHFFVcYI0eOrPDchx9+2Gjfvr3TsaFDhxo9evSo5SrhCapzrbiSlJRkpKam1k5x8Bhnc53wmdY/Veda8efPtcyke4CSkhK9++67OnbsmHr27FnheW+99ZZ27dql8ePHu7E6eIqqXCeffPKJunfvrueee05NmjRR27Zt9eCDDyo/P9/N1cJKVblWLr74Yu3Zs0cLFy6UYRg6cOCAFixYoOuuu87N1cIK99xzj6677jpdffXVZzx39erVuuaaa5yOXXvttVq/fr2Kiopqq0R4iOpcK6dzOBzKy8tTdHR0LVQGT1Ld64TPtP6rOteKP3+uDbK6AH+2ZcsW9ezZUwUFBapXr54++ugjJSUluTx3x44dGjt2rL7++msFBfF/mz+pznXy888/a8WKFQoNDdVHH32kgwcP6u6771Z2drZf3L/j76pzrVx88cWaO3eu/va3v6mgoEDFxcX605/+pKlTp7q5arjbu+++q40bN2rdunVVOn///v1q1KiR07FGjRqpuLhYBw8eVHx8fG2UCQ9Q3WvldC+88IKOHTumm2++uYYrgyep7nXCZ1r/Vd1rxZ8/1zKTbqF27dpp8+bNWrNmjYYPH66BAwdq27Zt5c4rKSlRv379lJqaqrZt21pQKaxU1etEMmctbDab5s6dq+TkZPXt21eTJk3SrFmz/OKvjv6uOtfKtm3bNGLECD3xxBPasGGDFi9erPT0dA0bNszNVcOdMjIyNHLkSM2ZM0ehoaFVfpzNZnMaG4bh8jh8x9leK6Xmz5+vJ598Uu+9955iY2NroUJ4gupeJ3ym9V9n82+KX3+utbrfHif16tXLuOuuu8odP3z4sCHJCAwMLPuy2Wxlx7744gsLqoVVKrpODMMwBgwYYLRq1crp2LZt2wxJxvbt291RHjxIZddK//79jZtuusnp2Ndff21IMvbt2+eO8mCBjz76qNx/TyQZNpvNCAwMNIqLi8s95rLLLjNGjBjhdOzDDz80goKCjBMnTrirdLjZ2Vwrpd59910jLCzM+O9//+vGimGF6l4nfKb1X2fzb4o/f66lx8SDGIahwsLCcscjIyO1ZcsWp2OvvPKKvvzySy1YsECJiYnuKhEeoKLrRJIuueQSvf/++zp69Kjq1asnSdq+fbsCAgLUtGlTd5YJD1DZtXL8+PFybYaBgYFlj4Nv6tWrV7n/ngwaNEjt27fXmDFjyq6BU/Xs2VNpaWlOx5YsWaLu3bsrODi4VuuFdc7mWpHMGfTBgwdr/vz5rHHhB6p7nfCZ1n+dzb8p/vy5lpBukUceeUR//OMflZCQoLy8PL377rtaunSpFi9eLEkaN26c9u7dq9mzZysgIEAdOnRwenxsbKxCQ0PLHYdvqc51Ikn9+vXTU089pUGDBik1NVUHDx7UQw89pMGDByssLMzKXwW1rLrXSkpKioYMGaLp06fr2muvVWZmpu6//34lJyercePGVv4qqEURERHl/rtRt25dxcTElB0//VoZNmyYpk2bptGjR2vIkCFavXq1Zs6cqfnz57u9frjP2Vwr8+fP14ABA/TSSy+pR48e2r9/vyQpLCxMdrvdvb8A3KK61wmfaf3X2fyb4s+fawnpFjlw4IBuu+02ZWZmym63q2PHjlq8eLF69+4tScrMzNTu3bstrhJWq+51Uq9ePX322We677771L17d8XExOjmm2/W008/bdWvADep7rVy++23Ky8vT9OmTdMDDzyg+vXr66qrrtKzzz5r1a8AD3H6tZKYmKiFCxdq1KhRevnll9W4cWNNmTJFN954o4VVwhOcfq289tprKi4u1j333KN77rmn7PjAgQM1a9YsCyqEJ+AzLaqKz7Un2Qz6GgEAAAAA8Ais7g4AAAAAgIcgpAMAAAAA4CEI6QAAAAAAeAhCOgAAAAAAHoKQDgAAAACAhyCkAwAAAADgIQjpAAAAAAB4CEI6AAAAAAAegpAOAICXuPLKK3X//ffX+PNefvnlmjdvXo0/b0268MIL9eGHH1pdBgAAtY6QDgCAH/vvf/+r/fv36+9//7uWLl0qm81W6desWbMsqfPxxx/X2LFj5XA4LHl9AADchZAOAIAfmzJligYNGqSAgABdfPHFyszMLPu6+eab1adPH6djf/vb3yyp87rrrlNOTo7+97//WfL6AAC4CyEdAAAvdPjwYQ0YMEBRUVEKDw/XH//4R+3YscPpnNdff10JCQkKDw/XX/7yF02aNEn169cv+/nBgwf1+eef609/+pMkqU6dOoqLiyv7CgsLU0hISNm4UaNGmjp1qlq2bKmwsDB16tRJCxYsKHu+0pn4//3vf+rSpYvCwsJ01VVXKSsrS4sWLdJ5552nyMhI3XLLLTp+/HjZ46688krde++9uvfee1W/fn3FxMTosccek2EYZecEBgaqb9++mj9/fi29owAAeAZCOgAAXuj222/X+vXr9cknn2j16tUyDEN9+/ZVUVGRJGnlypUaNmyYRo4cqc2bN6t379765z//6fQcK1asUHh4uM4777wqveZjjz2mt956S9OnT9f333+vUaNGqX///lq2bJnTeU8++aSmTZumVatWKSMjQzfffLMmT56sefPm6dNPP9Vnn32mqVOnOj3m7bffVlBQkL755htNmTJFL774ot544w2nc5KTk/X1119X960CAMCrBFldAAAAqJ4dO3bok08+0cqVK3XxxRdLkubOnauEhAR9/PHH+utf/6qpU6fqj3/8ox588EFJUtu2bbVq1Sr997//LXueX375RY0aNVJAwJn/Zn/s2DFNmjRJX375pXr27ClJatmypVasWKHXXntNV1xxRdm5Tz/9tC655BJJ0h133KFx48Zp165datmypSTppptu0ldffaUxY8aUPSYhIUEvvviibDab2rVrpy1btujFF1/UkCFDys5p0qSJdu/eLYfDUaWaAQDwRvwXDgAAL/PDDz8oKChIF110UdmxmJgYtWvXTj/88IMk6aefflJycrLT404f5+fnKzQ0tEqvuW3bNhUUFKh3796qV69e2dfs2bO1a9cup3M7duxY9n2jRo0UHh5eFtBLj2VlZTk9pkePHrLZbGXjnj17aseOHSopKSk7FhYWJofDocLCwirVDACAN2ImHQAAL3PqvdqnHy8Nuqd+X9HjGjRooMOHD1fpNUtXVf/000/VpEkTp5+FhIQ4jYODg8u+t9lsTuPSY2ezSnt2drbCw8MVFhZW7ccCAOAtCOkAAHiZpKQkFRcX65tvvilrdz906JC2b99edn95+/bttXbtWqfHrV+/3mncpUsX7d+/X4cPH1ZUVNQZXzMkJES7d+92am2vKWvWrCk3btOmjQIDA8uObd26VV27dq3x1wYAwJMQ0gEA8DJt2rTRDTfcoCFDhui1115TRESExo4dqyZNmuiGG26QJN133326/PLLNWnSJKWkpOjLL7/UokWLnGbXu3TpooYNG2rlypW6/vrrK33NiIgIPfjggxo1apQcDocuvfRS5ebmatWqVapXr54GDhx4Tr9TRkaGRo8eraFDh2rjxo2aOnWqXnjhBadzvv76a11zzTXn9DoAAHg67kkHAMALvfXWW+rWrZuuv/569ezZU4ZhaOHChWWt5ZdccoleffVVTZo0SZ06ddLixYs1atQop3vQAwMDNXjwYM2dO7dKr/nUU0/piSee0IQJE3Teeefp2muvVVpamhITE8/59xkwYIDy8/OVnJyse+65R/fdd5/uuuuusp/v3btXq1at0qBBg875tQAA8GQ2o6Ib2wAAgE8ZMmSIfvzxR6dtzA4cOKDzzz9fGzZsUPPmzS2p68orr1Tnzp01efLkCs956KGHlJOToxkzZrivMAAALEC7OwAAPmrixInq3bu36tatq0WLFuntt9/WK6+84nROo0aNNHPmTO3evduykF4VsbGxZdvJAQDgywjpAAD4qLVr1+q5555TXl6eWrZsqSlTpujOO+8sd17pfeye7KGHHrK6BAAA3IJ2dwAAAAAAPAQLxwEAAAAA4CEI6QAAAAAAeAhCOgAAAAAAHoKQDgAAAACAhyCkAwAAAADgIQjpAAAAAAB4CEI6AAAAAAAegpAOAAAAAICH+H/X18DxnI8HSQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "abline_plot(intercept=params[0], slope=params[1], ax=ax, color=\"red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Breakdown points of M-estimator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "np.random.seed(12345)\n",
    "nobs = 200\n",
    "beta_true = np.array([3, 1, 2.5, 3, -4])\n",
    "X = np.random.uniform(-20, 20, size=(nobs, len(beta_true) - 1))\n",
    "# stack a constant in front\n",
    "X = sm.add_constant(X, prepend=True)  # np.c_[np.ones(nobs), X]\n",
    "mc_iter = 500\n",
    "contaminate = 0.25  # percentage of response variables to contaminate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "all_betas = []\n",
    "for i in range(mc_iter):\n",
    "    y = np.dot(X, beta_true) + np.random.normal(size=200)\n",
    "    random_idx = np.random.randint(0, nobs, size=int(contaminate * nobs))\n",
    "    y[random_idx] = np.random.uniform(-750, 750)\n",
    "    beta_hat = sm.RLM(y, X).fit().params\n",
    "    all_betas.append(beta_hat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [],
   "source": [
    "all_betas = np.asarray(all_betas)\n",
    "se_loss = lambda x: np.linalg.norm(x, ord=2) ** 2\n",
    "se_beta = lmap(se_loss, all_betas - beta_true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Squared error loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.44502948730686465)"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(se_beta).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2.99711706,  0.99898147,  2.49909344,  2.99712918, -3.99626521])"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_betas.mean(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 3. ,  1. ,  2.5,  3. , -4. ])"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta_true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "execution": {
 
 
 
 
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(3.2360913286765104e-05)"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "se_loss(all_betas.mean(0) - beta_true)"
   ]
  }
 ],
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