{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "202599bf",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Transformations and diagnostics\n",
    "\n",
    "Fall 2022: Peter Ralph\n",
    "\n",
    "https://uodsci.github.io/dsci345"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "733bfdf0",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "matplotlib.rcParams['figure.figsize'] = (15, 8)\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from dsci345 import pretty\n",
    "\n",
    "rng = np.random.default_rng()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88ec5c59",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "$$\\renewcommand{\\P}{\\mathbb{P}} \\newcommand{\\E}{\\mathbb{E}} \\newcommand{\\var}{\\text{var}} \\newcommand{\\sd}{\\text{sd}} \\newcommand{\\cov}{\\text{cov}} \\newcommand{\\cor}{\\text{cor}}$$\n",
    "This is here so we can use `\\P` and `\\E` and `\\var` and `\\cov` and `\\cor` and `\\sd` in LaTeX below."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79439dd2",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# An example"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6e3b2b4",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Let's look at how newborn (i.e., \"neonate\") body mass\n",
    "is related to adult body mass,\n",
    "across a bunch of mammal species\n",
    "(in the order Carnivora, including dogs, cats, bears, weasels, and seals). [(data link)](https://github.com/UOdsci/dsci345/blob/main/class_material/slides/data/carnivora_sizes.csv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "97f0423c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Family</th>\n",
       "      <th>NeonateBodyMass_g</th>\n",
       "      <th>AdultBodyMass_g</th>\n",
       "      <th>AgeatEyeOpening_d</th>\n",
       "      <th>WeaningAge_d</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Binomial</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Canis aureus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>211.82</td>\n",
       "      <td>9658.70</td>\n",
       "      <td>7.50</td>\n",
       "      <td>61.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis latrans</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>200.01</td>\n",
       "      <td>11989.10</td>\n",
       "      <td>11.94</td>\n",
       "      <td>43.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis lupus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>412.31</td>\n",
       "      <td>31756.51</td>\n",
       "      <td>14.01</td>\n",
       "      <td>44.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis mesomelas</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>177.20</td>\n",
       "      <td>8247.30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>34.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Callorhinus ursinus</th>\n",
       "      <td>Otariidae</td>\n",
       "      <td>5354.80</td>\n",
       "      <td>55464.82</td>\n",
       "      <td>0.00</td>\n",
       "      <td>108.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes lagopus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>69.17</td>\n",
       "      <td>3584.37</td>\n",
       "      <td>15.03</td>\n",
       "      <td>49.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes velox</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>39.94</td>\n",
       "      <td>2088.00</td>\n",
       "      <td>12.50</td>\n",
       "      <td>47.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes vulpes</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>100.49</td>\n",
       "      <td>4820.36</td>\n",
       "      <td>14.01</td>\n",
       "      <td>50.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes zerda</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>28.04</td>\n",
       "      <td>1317.13</td>\n",
       "      <td>16.95</td>\n",
       "      <td>65.56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zalophus californianus</th>\n",
       "      <td>Otariidae</td>\n",
       "      <td>6347.89</td>\n",
       "      <td>137194.86</td>\n",
       "      <td>0.00</td>\n",
       "      <td>319.01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>145 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                           Family  NeonateBodyMass_g  AdultBodyMass_g  \\\n",
       "Binomial                                                                \n",
       "Canis aureus              Canidae             211.82          9658.70   \n",
       "Canis latrans             Canidae             200.01         11989.10   \n",
       "Canis lupus               Canidae             412.31         31756.51   \n",
       "Canis mesomelas           Canidae             177.20          8247.30   \n",
       "Callorhinus ursinus     Otariidae            5354.80         55464.82   \n",
       "...                           ...                ...              ...   \n",
       "Vulpes lagopus            Canidae              69.17          3584.37   \n",
       "Vulpes velox              Canidae              39.94          2088.00   \n",
       "Vulpes vulpes             Canidae             100.49          4820.36   \n",
       "Vulpes zerda              Canidae              28.04          1317.13   \n",
       "Zalophus californianus  Otariidae            6347.89        137194.86   \n",
       "\n",
       "                        AgeatEyeOpening_d  WeaningAge_d  \n",
       "Binomial                                                 \n",
       "Canis aureus                         7.50         61.30  \n",
       "Canis latrans                       11.94         43.71  \n",
       "Canis lupus                         14.01         44.82  \n",
       "Canis mesomelas                       NaN         34.10  \n",
       "Callorhinus ursinus                  0.00        108.69  \n",
       "...                                   ...           ...  \n",
       "Vulpes lagopus                      15.03         49.50  \n",
       "Vulpes velox                        12.50         47.08  \n",
       "Vulpes vulpes                       14.01         50.71  \n",
       "Vulpes zerda                        16.95         65.56  \n",
       "Zalophus californianus               0.00        319.01  \n",
       "\n",
       "[145 rows x 5 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "carnivores = pd.read_csv(\"data/carnivora_sizes.csv\").set_index(\"Binomial\")\n",
    "carnivores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "13291911",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(carnivores.AdultBodyMass_g, carnivores.NeonateBodyMass_g, s=100);\n",
    "plt.xlabel(\"adult body mass\"); plt.ylabel(\"neonate body mass\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f8b47b9",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "But - there's some \"substructure\"!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b0208ab9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = {f: c for f, c in zip(carnivores.Family.unique(), plt.cm.tab20.colors)}\n",
    "for f in colors:\n",
    "    sub = carnivores[carnivores.Family == f]\n",
    "    plt.scatter(sub.AdultBodyMass_g, sub.NeonateBodyMass_g, color=colors[f], s=100, label=f)\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e6d1c80",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# First pass: a normal linear model"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4c66d60",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Let's fit a linear model and see what it's predictions are like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a303d75f",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression as lm\n",
    "fit1 = lm().fit(carnivores[['AdultBodyMass_g']], carnivores.NeonateBodyMass_g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "54ec56f4",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/f97S38/Pj1OnTlm1ufT6Rm0u3f9fzs7OODs73/R7vROnUnPYEpuG0XTlT/4yc4zsPXKB/UczaBTiTVmfwq3p8OHDNGnShJCQEL777jsCAwP566+/GDlyJH/88QebN2/G19e30MbLzc3FycnJ6nO3t7e/5q+DiIiIiDzYjGcukLczCf7ex+hy5qxc8g8kkx97CsewAOxLawmViEhhM5rMLNh5nCnLYzmWchEAf19XhrYN4fG6FbC3Uyh3IzZd1tqsWTNiYmKsrsXGxlKpUiUAAgMD8fPzY8WKFZb76enpbNmyhSZNmgDQpEkTUlNT2b59u6XNypUrMZlMNGrUyNJm7dq15OXlWdosW7aM0NBQy+ysJk2aWI1zqc2lcWzlVGoOmw6mXjWYu5zRZGbTwVROpeYU6vgDBgzAycmJpUuX0rJlSwICAnj00UdZvnw5x48f580336RVq1YcOXKEoUOHYjAYLGn4uXPneO6556hQoQJubm7UqlWL7777zur5rVq1YuDAgQwZMoRSpUoREREB3HhZ6++//05ISAiurq60bt2axMREq+fezNgmk4nx48cTGBiIq6srderU4T//+U+hfn4iIiIicvcYz1wgb1viVYM564Ym8rYlYjxz4Z7UJSLyIDCbzSzZd5LIqWsZ/uNujqVcpLSnM2M712TFsFZ0Ca+oYO4m2TScGzp0KJs3b2bcuHEcOnSIefPm8e9//5sBAwYABQHNkCFDeO+991i4cCF79+6lR48elC9fns6dOwMFM+0iIyN56aWX+PPPP9mwYQMDBw7k2WefpXz58gA8//zzODk50adPH/766y++//57pk2bZrUsdfDgwSxZsoTJkydz8OBBxowZw7Zt2xg4cOA9/1wuyc03sSU2jZvdKcMMbIlNIzf/Bn85uUnnz58nOjqaV199FVdXV6t7fn5+dOvWje+//56ffvqJihUr8u6775KcnExycjJQcBJpvXr1WLx4Mfv27aNfv3688MIL/Pnnn1bPmjNnDk5OTmzYsOGmTsY9evQoXbp0oVOnTuzatYu+ffvyxhtvWLW5mbHHjx/P119/zaxZs/jrr78YOnQo3bt3Z82aNbf7kYmIiIjIPWLOMxbMmLsFeTuTMOcZb9xQRESuyWw2sy7uDI/P2MDL324n7nQG3q6OvPFoNdaObM0LjSvdtW237lc2XdbaoEEDfvnlF0aPHs27775LYGAgU6dOpVu3bpY2o0aNIjMzk379+pGamkrz5s1ZsmQJLi4uljZz585l4MCBtGnTBjs7O7p27cr06dMt9729vVm6dCkDBgygXr16lCpVirfffpt+/fpZ2jRt2pR58+bx1ltv8X//938EBwezYMECataseW8+jKtIOpN9wxlz/8toMnP0TDZVy7nd8fhxcXGYzWaqV69+1fvVq1cnJSUFo9GIvb09np6eVstPK1SowIgRIyyvX3vtNaKjo/nhhx9o2LCh5XpwcDAffvjhTdc1c+ZMqlatyuTJkwEIDQ1l7969fPDBBzc9dk5ODuPGjWP58uWW2ZFVqlRh/fr1fPbZZ7Rs2fKm6xERERGRe894POXGM+au6GTCeDwFh8ray1hE5HbsSEph4pIYNh0+B4Cbkz19mgfSt0UVvF0dbVxd8WXTcA6gY8eOdOzY8Zr3DQYD7777Lu++++412/j6+jJv3rzrjlO7dm3WrVt33TZPPfUUTz311PULvkfMZjOHT2bdVt/4k1lU8XMttM0Wb/eUK6PRyLhx4/jhhx84fvw4ubm55OTk4OZmHRzWq1fvlp574MABy5LlS/53+fGNxj506BBZWVm0a9fOql9ubi5hYWG3VI+IiIiI3FtmsxnjkXO31dd45Bz2lUpqY3IRkVtw8GQ6k6JjWX6gYK9+J3s7ujUO4NVWQZT2vDf78d/PbB7OydXl5putTmW9FZk5RnLzzTg73tlfOIKCgjAYDBw4cIAnnnjiivsHDhygRIkSlC5d+qr9J06cyLRp05g6dSq1atXC3d2dIUOGkJuba9XO3d39juq8nbEzMjIAWLx4MRUqVLDqe68O+hARERGR25RntDqV9VaYs3IhzwhO+qeQiMiNHDmXyZRlsfy6+wRmM9gZ4Ml6FRncNoQKPq43foDcFP2JVETlG29vttrl/Z3vcEZpyZIladeuHZ9++ilDhw612nfu5MmTzJ07lx49emAwGHBycsJotA4TN2zYwOOPP0737t2BggMYYmNjrzih91ZVr16dhQsXWl3bvHnzLY1do0YNnJ2dSUpK0hJWERERkWLGfId7LJvzTRicCqkYEZH70Mm0bKavjOOHrUfJ/3u7rQ61yjG0XQhBZTxsXN39Rzv0FVEO9nc26+1O+1/yySefkJOTQ0REBGvXruXo0aMsWbKEdu3aUaFCBd5//30AKleuzNq1azl+/Dhnz54FCvaSW7ZsGRs3buTAgQP079+fU6dO3XFNL7/8MnFxcYwcOZKYmBjmzZtHVFSUVZsbje3p6cmIESMYOnQoc+bMIT4+nh07dvDxxx8zZ86cO65RRERERO4ewx1uNH6n/UVE7lcpmbmM+/0ALSeuYt6WJPJNZlqGlGbRa82Z0S1cwdxdoj+ViignBwPuzva31dfd2R4nh8IJ54KDg9m2bRtVqlTh6aefpmrVqvTr14/WrVuzadMmfH19AXj33XdJTEykatWqlmWub731FuHh4URERNCqVSv8/Pwsp+zeiYCAAH766ScWLFhAnTp1mDVrFuPGjbNqczNjjx07ln/+85+MHz/ecurv4sWLCQwMvOMaRUREROQucrTH4HZ7U98Mbk7geHt/zxYRuV9l5OQzbXkcLT5cxb/XHiYn30T9SiX4vl9j5vRuSM0K3rYu8b5mMN/ubv9iJT09HW9vb9LS0vDy8rK6l52dTUJCAoGBgVanzN7IoeQs9h65cMu11K7kWSintcrdd7vfGyIiIiIPuvzEs+QfSL7lfg7Vy+m0VhGRv2XnGfl28xE+XR3P+cyCvTyrl/NiVEQorUJL6/CcO3S9rOhy2nOuCAso7cL+oxkYTTefn9rbGfAvrZBHRERERO5v9hVKkB97Coy3sP+cvR32FUrcvaJERIqJfKOJ/2w/xrQVcSSnZQMQWMqdYe1C6FCrHHZ2CuXuJYVzRZiTgx2NQrzZdDCVm4nnDECjEG+ctIeGiIiIiNznDI72OIYFkLct8ab7OIYFYNCSVhF5gJlMZhbtTWbKslgSzmYCUM7bhcFtgnmyXkUc7JUn2ILCuSKurI8zTar5sCU27boz6OztDDQK8aasj/M9rE5ERERExHbsS3tC/crk7Uy6/gw6ezscwwIK2ouIPIDMZjOrYk4zMTqWA8npAPi6OzGgdRDdGgXgoh9c2JTCuWKgrI8zkeGlOHomm/iTWWTmGC333J3tqernRkBpFxw1Y05EREREHjD2pT2xa10N4/EUjEfOYc7KtdwzuDlhX6kk9hVKaMaciDywthw+x8ToGLYdSQHA09mBlx6uQu/mgXg4KxYqCvSrUEw4OdhRtZwbVfxcyc03k28042BvwMnBoA0aRUREROSBZnC0x6FyKewrlYQ8I+Z8EwYHu4JTXfV3ZRF5QO07nsaH0TGsjT0DgLODHb2aVublllUp4X57J17L3aFwrpgxGAw4OxpwdrR1JSIiIiIiRYvBYAAnBwz6N6eIPMAOnc7go2Ux/L73JAAOdgaeaeDPa48E4+etAySLIoVzIiIiIiIiIiLF3LGULKYtj+OnHccwmcFggMfrlGdI2xAql3K3dXlyHQrnRERERERERESKqTMXcpix6hDztiSR+/fhOG2rl2VERAjV/LxsXJ3cDIVzxY3ZDFnnITcDnDzAzbcgDhcRERERERGRB0baxTw+X3uYrzYkkJVbcHBkkyolGRkZSnhACRtXJ7dC4VxxcTEVdn8HWz6DlIT/Xi8RCI36Q53nwNXHVtUVK4mJiQQGBrJz507q1q171TarV6+mdevWpKSk4OPjc0/rExEREREREbmWi7lGojYmMmtNPGkX8wCoU9GbkRHVaBZUUgfhFEMK54qDQ8vh+x6Ql3XlvZREWDIaVoyFZ76GoLaFOnSvXr1ITU1lwYIFVteLS3h1tfr9/f1JTk6mVKlStitMRERERERE5Bbk5puYvzWJj1ce4syFHACCy3gwvH0oEQ+VVShXjCmcK+oOLYe5TxcsZ8V8lQZ/X8u7WNCu2w+FHtDdDbm5uTg52eYYLXt7e/z8/GwytoiIiIiIiMitMJrMLNh5nCnLYzmWchGAiiVcGdo2hM5hFbC3UyhX3NnZugC5joupBTPmzGbAdIPGpoJ23/co6HePrV+/nhYtWuDq6oq/vz+DBg0iMzPTcr9y5cqMHTuWHj164OXlRb9+/UhMTMRgMDB//nyaNm2Ki4sLNWvWZM2aNVbP3rdvH48++igeHh6ULVuWF154gbNnz1ru/+c//6FWrVq4urpSsmRJ2rZtS2ZmJmPGjGHOnDn8+uuvGAwGDAYDq1evtoy7a9cuyzN+//13QkJCcHV1pXXr1iQmJlrVcO7cOZ577jkqVKiAm5sbtWrV4rvvvrNqYzKZGD9+PIGBgbi6ulKnTh3+85//FN6HLCIiIiIiIg8Ms9nMkn0niZy6luE/7uZYykVKezoz9vGHWDm8FV3rVVQwd59QOFeU7f7u76WsNwrmLjEVtN89/25WdYX4+HgiIyPp2rUre/bs4fvvv2f9+vUMHDjQqt2kSZOoU6cOO3fu5J///Kfl+siRIxk+fDg7d+6kSZMmdOrUiXPnzgGQmprKI488QlhYGNu2bWPJkiWcOnWKp59+GoDk5GSee+45evfuzYEDB1i9ejVdunTBbDYzYsQInn76aSIjI0lOTiY5OZmmTZteUf/Ro0fp0qULnTp1YteuXfTt25c33njDqk12djb16tVj8eLF7Nu3j379+vHCCy/w559/WtqMHz+er7/+mlmzZvHXX38xdOhQunfvfkXYKCIiIiIiInItZrOZ9XFn6TxjAy9/u5240xl4uzryemQ11oxsxQtNKuPkoDjnfmIwm81XWysptyg9PR1vb2/S0tLw8rI+qjg7O5uEhAQCAwNxcXG5uQeazTA9rGBPuasuZ70WA5SoDIN2Fsoprr169eLbb7+9om6j0Uh2djYpKSmMGDECe3t7PvvsM8v99evX07JlSzIzM3FxcaFy5cqEhYXxyy+/WNpcOphhwoQJvP766wDk5+cTGBjIa6+9xqhRo3jvvfdYt24d0dHRln7Hjh3D39+fmJgYMjIyqFevHomJiVSqVOmq9f/vnnP/eyDE//3f//Hrr7/y119/Wdq88cYbfPDBB9fdU69jx45Uq1aNSZMmkZOTg6+vL8uXL6dJkyaWNn379iUrK4t58+Zd9Rm39b0hIiIiIiIi96UdSSlMXBLDpsMFE1bcnOzp3SyQlx6ugrero42rk1t1vazoctpzrqjKOm99KutNMxf0u5gCbr6FUkrr1q2ZOXOm1bUtW7bQvXt3AHbv3s2ePXuYO3fuf6swmzGZTCQkJFC9enUA6tevf9XnXx5mOTg4UL9+fQ4cOGB59qpVq/Dw8LiiX3x8PO3bt6dNmzbUqlWLiIgI2rdvz5NPPkmJEjd/bPSBAwdo1KjRNWuCgjBy3Lhx/PDDDxw/fpzc3FxycnJwc3MD4NChQ2RlZdGuXTurfrm5uYSFhd10LSIiIiIiIvLgOXgynUnRsSw/cAoAJ3s7nm8UwIDWQZT2dLZxdXK3KZwrqnIz7qx/zoVCC+fc3d0JCgqyunbs2DHLf2dkZNC/f38GDRp0Rd+AgACr59yqjIwMOnXqxAcffHDFvXLlymFvb8+yZcvYuHEjS5cu5eOPP+bNN99ky5YtBAYG3vJ41zJx4kSmTZvG1KlTqVWrFu7u7gwZMoTc3FxLnQCLFy+mQoUKVn2dnfUbqYiIiIiIiFzpyLlMpiyL5dfdJzCbwc4AXcMrMrhtMBVLuNm6PLlHFM4VVU5XzhS7Jc6ehVPHTQgPD2f//v1XBHg3a/PmzTz88MNAwbLW7du3W/arCw8P56effqJy5co4OFz929VgMNCsWTOaNWvG22+/TaVKlfjll18YNmwYTk5OGI3G645fvXp1Fi5ceEVNl9uwYQOPP/64ZbagyWQiNjaWGjVqAFCjRg2cnZ1JSkqiZcuWt/4hiIiIiIiIyAPjZFo2H6+M4/utR8k3FWxl9VgtP4a1CyWozB3mAVLsaAfBosrNF0oEAre6b5yhoJ/rzS/rvFOvv/46GzduZODAgezatYu4uDh+/fXXKw6EuJYZM2bwyy+/cPDgQQYMGEBKSgq9e/cGYMCAAZw/f57nnnuOrVu3Eh8fT3R0NC+++CJGo5EtW7Ywbtw4tm3bRlJSEj///DNnzpyxLKWtXLkye/bsISYmhrNnz5KXl3fF+C+//DJxcXGMHDmSmJgY5s2bR1RUlFWb4OBgywy9AwcO0L9/f06dOmW57+npyYgRIxg6dChz5swhPj6eHTt28PHHHzNnzpzb/GRFRERERETkfpKSmcu43w/QcuIq5m5JIt9kpmVIaX4b2JxPu9VTMPeA0sy5ospggEb9YcnoW+/b6OVCOQziZtWuXZs1a9bw5ptv0qJFC8xmM1WrVuWZZ565qf4TJkxgwoQJ7Nq1i6CgIBYuXEipUqUAKF++PBs2bOD111+nffv25OTkUKlSJSIjI7Gzs8PLy4u1a9cydepU0tPTqVSpEpMnT+bRRx8F4KWXXmL16tXUr1+fjIwMVq1aReXKla3GDwgI4KeffmLo0KF8/PHHNGzYkHHjxlkCQoC33nqLw4cPExERgZubG/369aNz586kpaVZ2owdO5bSpUszfvx4Dh8+jI+PD+Hh4fzf//3fHX7CIiIiIiIiUpxl5OTz1foEPl97mAs5+QDUr1SCkRGhNKpS0sbVia3ptNZCUuintQJcTIWPakDeRcB04/YGO3BwhWH7wdXnVsq3if89NfVBpNNaRURERERE7l/ZeUa+3XyET1fHcz6zYM/y6uW8GBURSqvQ0hju4cQaufd0Wuv9wNUHnvka5j4NZjuuH9DZAQZ45ptiEcyJiIiIiIiI3K/yjSb+s/0Y01bEkZyWDUBgKXeGtQuhQ61y2NkplJP/UjhX1AW1hW4/wPc9IC/r74uXT3b8+39oR9eCYC6ozb2uUEREREREREQAk8nM4r3JfLQsloSzmQCU83ZhcJtgutariKO9tv6XKymcKw6C2hYsVd09H7bMgpSE/94rUblgj7m6z4GLt81KvB2VK1dGq6pFRERERESkuDObzayOOcPE6Bj2J6cD4OvuxKutqtK9cSVcHO1tXKEUZQrnigtXH2j8csEhERdTIOcCOHsWnMqqNeoiIiIiIiIiNvFnwnkmRh9ka2IKAB7ODrzUogp9WgTi4azYRW5M3yXFjcEAbr4FXyIiIiIiIiJiE/uOpzExOoY1sWcAcHawo1fTyrzcsiol3J1sXJ0UJwrnRERERERERERu0qHTGUxZFsvivckAONgZeKaBP689Eoyft4uNq5PiSOGciIiIiIiIiMgNHE+9yLTlsfxn+zFM5oKFbY/XKc+QtiFULuVu6/KkGFM4JyIiIiIiIiJyDWczcpix6hBzNyeRazQB0LZ6WUZEhFDNz8vG1cn9QOFccWM2Q14WGHPB3gkc3XQghIiIiIiIiEghS7uYx+drD/PVhgSyco0ANKlSkpGRoYQHlLBxdXI/UThXXORdhOQdcHQjXDz/3+uuvuDfFMqFg6PrPS0pKiqKIUOGkJqaetfGGDNmDAsWLGDXrl3XbNOrVy9SU1NZsGDBXatDREREREREHgwXc41EbUxk1pp40i7mAVCnojcjI6rRLKgkBk2QkUJmZ+sC5Caci4X1EyB2kXUwBwWvYxcV3D8XW+hD9+rVC4PBgMFgwMnJiaCgIN59913y8/MLfayrGTFiBCtWrLgnY4mIiIiIiMiDKzffxDebEnl44io+WHKQtIt5BJfxYFb3eiwY0IzmwaUUzMldoZlzRd25WNgZdeN2xryCdmG9oGRIoZYQGRnJ7NmzycnJ4ffff2fAgAE4OjpSrly5Qh3najw8PPDw8Ljr44iIiIiIiMiDyWgy8+uu40xZHsvR8xcBqFjClaFtQ+gcVgF7OwVycndp5lxRlncR9sz9+4X5Bo3/vr9nbkG/QuTs7Iyfnx+VKlXilVdeoW3btixcuNByPzo6murVq+Ph4UFkZCTJycmWeyaTiXfffZeKFSvi7OxM3bp1WbJkidXzjx07xnPPPYevry/u7u7Ur1+fLVu2AAXLWuvWrWtpazQaGTZsGD4+PpQsWZJRo0ZhNlt/NkuWLKF58+aWNh07diQ+Pt6qzdGjR3n66afx8fHB19eXxx9/nMTExEL6xERERERERKSoM5vNRP91kkenrWXYD7s5ev4ipT2dGfv4Q6wc3oqu9SoqmJN7QuFcUZa8o+DghxsGc5eYC9on77ibVeHq6kpubi4AWVlZTJo0iW+++Ya1a9eSlJTEiBEjLG2nTZvG5MmTmTRpEnv27CEiIoJ//OMfxMXFAZCRkUHLli05fvw4CxcuZPfu3YwaNQqTyXTVsSdPnkxUVBRfffUV69ev5/z58/zyyy9WbTIzMxk2bBjbtm1jxYoV2NnZ8cQTT1iemZeXR0REBJ6enqxbt44NGzZYgsVL70tERERERETuX+vjztJ5xgb6f7Od2FMZeLs68npkNdaMbMULTSrj5KC4RO4dLWstqszmgsMfbsfRjQWHRBTyWniz2cyKFSuIjo7mtddeAwqCrlmzZlG1alUABg4cyLvvvmvpM2nSJF5//XWeffZZAD744ANWrVrF1KlTmTFjBvPmzePMmTNs3boVX19fAIKCgq5Zw9SpUxk9ejRdunQBYNasWURHR1u16dq1q9Xrr776itKlS7N//35q1qzJ999/j8lk4osvvrDsFzB79mx8fHxYvXo17du3v5OPSURERERERIqoHUkpTIqOYWP8OQDcnOzp3SyQlx6ugrero42rkweVwrmiKi/rysMfbtbF8wX9ndwLpZRFixbh4eFBXl4eJpOJ559/njFjxvDjjz/i5uZmCeYAypUrx+nTpwFIT0/nxIkTNGvWzOp5zZo1Y/fu3QDs2rWLsLAwSzB3PWlpaSQnJ9OoUSPLNQcHB+rXr2+1tDUuLo63336bLVu2cPbsWcuMuaSkJGrWrMnu3bs5dOgQnp6eVs/Pzs6+YvmriIiIiIiIFH8HT6YzeWksy/afAsDJ3o7nGwUwoHUQpT2dbVydPOgUzhVVxjtcXmnMBQonnGvdujUzZ87EycmJ8uXL4+Dw328bR0frnywYDIYr9oC7HldX10Kp8XKdOnWiUqVKfP7555QvXx6TyUTNmjUtS1YzMjKoV68ec+fOvaJv6dKlC70eERERERERsY0j5zKZujyOBbuOYzaDnQG6hldkcNtgKpZws3V5IoDCuaLL3sm2/S/j7u5+3aWm1+Ll5UX58uXZsGEDLVu2tFzfsGEDDRs2BKB27dp88cUXnD9//oaz57y9vSlXrhxbtmzh4YcfBiA/P5/t27cTHh4OwLlz54iJieHzzz+nRYsWAKxfv97qOeHh4Xz//feUKVMGLy+vW35fIiIiIiIiUrSdSs9m+oo4vt96lHxTwQSSDrXKMbRdCEFlPGxcnYg17XBYVDm6geuNl3pelatvQf8iYOTIkXzwwQd8//33xMTE8MYbb7Br1y4GDx4MwHPPPYefnx+dO3dmw4YNHD58mJ9++olNmzZd9XmDBw9mwoQJLFiwgIMHD/Lqq6+SmppquV+iRAlKlizJv//9bw4dOsTKlSsZNmyY1TO6detGqVKlePzxx1m3bh0JCQmsXr2aQYMGcezYsbv2WYiIiIiIiMjdlZKZy/jfD/Dwh6uYuyWJfJOZliGl+W1gc2Z0C1cwJ0WSZs4VVQZDwaEOsYtuve9dOAzidg0aNIi0tDSGDx/O6dOnqVGjBgsXLiQ4OBgAJycnli5dyvDhw3nsscfIz8+nRo0azJgx46rPGz58OMnJyfTs2RM7Ozt69+7NE088QVpaGgB2dnbMnz+fQYMGUbNmTUJDQ5k+fTqtWrWyPMPNzY21a9fy+uuv06VLFy5cuECFChVo06aNZtKJiIiIiIgUQxk5+Xy1PoHP1x7mQk4+APUrlWBkRCiNqpS0cXUi12cw38oGYXJN6enpeHt7k5aWdkXAk52dTUJCAoGBgbi4uNz8Q/MuwvoJYMwDbuaXyQD2jtD8DXAs/L3cpPDd9veGiIiIiIiIkJ1nZO6WJD5ddYhzmQX7jFcv58WoiFBahZbGUEQmrsiD6XpZ0eU0c64oc3SF2t1gZxRg4PoB3d+/4dTupmBORERERERE7mv5RhM/7TjGtOVxnEjLBiCwlDvD2oXQoVY57OwUyknxoXCuqCsZAmG9YM/c65/gau9YEMyVDLlnpYmIiIiIiIjcSyaTmd/3JfPR0lgOn80EoJy3C4PbBNO1XkUc7bW1vhQ/CueKg5IhBUtVk3fA0Y1w8fx/77n6FuwxV74eOGhZpIiIiIiIiNx/zGYzq2POMDE6hv3J6QD4ujvxaquqdG9cCRdHextXKHL7FM4VF46uENCsIIjLyyqYRWfvVHAqq9bQi4iIiIiIyH3qz4TzTIw+yNbEFAA8nB14qUUV+rQIxMNZsYYUf/ouLm4MBnByB9xtXYmIiIiIiIjIXbPveBqTlsawOuYMAM4OdvRsWplXWlalhLuTjasTKTwK50RERERERESkyIg/k8FHS2NZvDcZAAc7A8808Oe1R4Lx89Z2TnL/UTgnIiIiIiIiIjZ3PPUi05fH8Z8dxzCazBgM8Hid8gxpG0LlUlo9JvcvhXMiIiIiIiIiYjNnM3KYseoQczcnkWs0AdC2elmGtw+hejkvG1cncvcpnCtmzGYzqTmpZOVn4ebgho+zDwYdCCEiIiIiIiLFTHp2Hp+vPcyX6xPIyjUC0LiKLyMjqlGvUgkbVydy7yicKybSc9NZeGgh8w7O4+iFo5br/p7+PF/tef4R9A+8nO79TxTGjBnDggUL2LVr1z0fG6BXr16kpqayYMGCa7Zp1aoVdevWZerUqfesLhEREREREbm6i7lG5mxKZObqeNIu5gFQp6I3IyOq0SyopCagyANH4VwxsOH4BoauHkp2fvYV945dOMaHWz9k+s7pTGk1hWYVmhXauJ06dSIvL48lS5ZccW/dunU8/PDD7N69m9dee63QxrxV06ZNw2w222x8ERERERERuTm5+Sa+33aUj1fEcfpCDgDBZTwY3j6UiIfKKpSTB5bCuSJuw/ENvLriVcxmM2auDKEuXcvOz+bVFa/yaZtPCy2g69OnD127duXYsWNUrFjR6t7s2bOpX78+tWvXLpSxric3NxcnJ+tjso1GIwaDAW9v77s+voiIiIiIiNw+o8nMwt3HmbIsjqTzWQBULOHK0LYhdA6rgL2dQjl5sNnZugC5tvTcdIauHnrNYO5yZsyYzWaGrh5Kem56oYzfsWNHSpcuTVRUlNX1jIwMfvzxR/r06cOYMWOoW7cuAEuXLsXFxYXU1FSr9oMHD+aRRx6xvF6/fj0tWrTA1dUVf39/Bg0aRGZmpuV+5cqVGTt2LD169MDLy4t+/foRFRWFj48PCxcupEaNGjg7O5OUlESvXr3o3LmzpW9mZiY9evTAw8ODcuXKMXny5Cve1zfffEP9+vXx9PTEz8+P559/ntOnT1u12bdvH48++igeHh6ULVuWF154gbNnz97eBykiIiIiIvIAMpvNRP91kkenrWXo97tJOp9FKQ9n3n38IVYOb0XXehUVzImgcK5IW3hoIdn52TcM5i4xYyY7P5vf4n8rlPEdHBzo0aMHUVFRVktHf/zxR4xGI88995xV+zZt2uDj48NPP/1kuWY0Gvn+++/p1q0bAPHx8URGRtK1a1f27NnD999/z/r16xk4cKDVsyZNmkSdOnXYuXMn//znPwHIysrigw8+4IsvvuCvv/6iTJkyV9Q8cuRI1qxZw6+//srSpUtZvXo1O3bssGqTl5fH2LFj2b17NwsWLCAxMZFevXpZ7qempvLII48QFhbGtm3bWLJkCadOneLpp5++vQ9SRERERETkAbPh0Fk6f7qR/t9sJ/ZUBl4uDoyKDGXtqFb0aFIZJwfFESKXaFlrEWU2m5l3cN5t9Z17YC7PV3u+UNbr9+7dm4kTJ7JmzRpatWoFFCxp7dq16xVLSu3t7Xn22WeZN28effr0AWDFihWkpqbStWtXAMaPH0+3bt0YMmQIAMHBwUyfPp2WLVsyc+ZMXFxcAHjkkUcYPny45dnr1q0jLy+PTz/9lDp16ly11oyMDL788ku+/fZb2rRpA8CcOXOuWJLbu3dvy39XqVKF6dOn06BBAzIyMvDw8OCTTz4hLCyMcePGWdp99dVX+Pv7ExsbS0hIyK1+jCIiIiIiIg+EnUkpTFoaw4ZD5wBwdbSnd/PK9Hu4Kt6ujjauTqRoUjhXRKXmpFqdynqzzJg5euEoaTlp+Lj43HEd1apVo2nTpnz11Ve0atWKQ4cOsW7dOt59992rtu/WrRuNGzfmxIkTlC9fnrlz59KhQwd8fApq2b17N3v27GHu3Ln/rdlsxmQykZCQQPXq1QGoX7/+Fc92cnK67h538fHx5Obm0qhRI8s1X19fQkNDrdpt376dMWPGsHv3blJSUjCZTAAkJSVRo0YNdu/ezapVq/Dw8LjqGArnRERERERErMWcvMDkpTEs3X8KACd7O55vFMCA1kGU9nS2cXUiRZvCuSIqKz/rjvpn5mfig0+h1NKnTx9ee+01ZsyYwezZs6latSotW7a8atsGDRpQtWpV5s+fzyuvvMIvv/xitWddRkYG/fv3Z9CgQVf0DQgIsPy3u7v7FfddXV3veDZgZmYmERERREREMHfuXEqXLk1SUhIRERHk5uZaauzUqRMffPDBFf3LlSt3R+OLiIiIiIjcT5LOZTFleSwLdh3HbAY7A3QJr8iQtsFULOFm6/JEigWFc0WUm8Od/Sbm7nBluHW7nn76aQYPHsy8efP4+uuveeWVV64bknXr1o25c+dSsWJF7Ozs6NChg+VeeHg4+/fvJygoqNDqu6Rq1ao4OjqyZcsWS9CXkpJCbGysJUw8ePAg586dY8KECfj7+wOwbds2q+eEh4fz008/UblyZRwc9L+IiIiIiIjI/zqdns30lXHM//Mo+aaCPcofq+XHsHYhBJXxtHF1IsWLdmAsonycffD39MfArc0UM2DA39Mfb2fvGze+SR4eHjzzzDOMHj2a5ORkq8MTrqZbt27s2LGD999/nyeffBJn5/9OYX799dfZuHEjAwcOZNeuXcTFxfHrr79ecSDE7dbZp08fRo4cycqVK9m3bx+9evXCzu6/3+YBAQE4OTnx8ccfc/jwYRYuXMjYsWOtnjNgwADOnz/Pc889x9atW4mPjyc6OpoXX3wRo9F4x3WKiIiIiIgUV6lZuYz/4wAPT1zFt5uTyDeZeTikNL8NbM6n3eopmBO5DQrniiiDwcDz1Z6/rb7dqncrlMMgLtenTx9SUlKIiIigfPny120bFBREw4YN2bNnj+WU1ktq167NmjVriI2NpUWLFoSFhfH222/f8Jk3a+LEibRo0YJOnTrRtm1bmjdvTr169Sz3S5cuTVRUFD/++CM1atRgwoQJTJo0yeoZ5cuXZ8OGDRiNRtq3b0+tWrUYMmQIPj4+VkGfiIiIiIjIgyIzJ5+PV8TR4oNVfLbmMNl5JupVKsH8fo35undDalUsvAkiIg8ag9lsNtu6iPtBeno63t7epKWl4eXlZXUvOzubhIQEAgMDLaeR3tQzc9Np+2NbsvOzMXPjXyY77HB2cGb5U8vxcvK6YXuxvdv93hAREREREbkXsvOMzNuSxIxVhziXWbBPdzU/T0ZFhtI6tEyhTwwRuZ9cLyu6nDbUKsK8nLyY0moKr654FcxcN6AzYAADTG01VcGciIiIiIiI3JF8o4mfdxxn6vJYTqRlA1C5pBvD2ofSsVY57OwUyokUFoVzRVyzCs34tM2nDF09lOz8gt8QLw/pLu1J5+LgwtRWU2laoalN6hQREREREZHiz2Qy88e+k0xeFsPhM5kA+Hm5MLhtME/Wq4ijvbb6ESlsCueKgWYVmrH8qeX8Fv8bcw/M5eiFo5Z7FT0r0q16N/5R9R94OmnjTREREREREbl1ZrOZNbFnmBgdw18n0gEo4ebIgNZBdG9cCRdHextXKHL/UjhXTHg5edGtejeer/Y8aTlpZOZn4u7gjrezt9b4i4iIiIiIyG3bmnieiUti+DPxPAAezg70bRFIn+aBeLo42rg6kfufwrlixmAw4OPigw8+ti5FREREREREirF9x9OYvDSGVTFnAHBysKNnk0q80ioIX3cnG1cn8uBQOCciIiIiIiLyADl8JoOPlsWyaE8yAPZ2Bp5p4M9rjwRRztvVxtWJPHgUzomIiIiIiIg8AE6kXmT6ijh+3H4Mo8mMwQD/qFOeoW1DqFzK3dbliTywFM6JiIiIiIiI3MfOZuTw6ap4vt18hFyjCYC21cswvH0o1ct52bg6EVE4V8yYzWayTRfJN+XhYOeIi52rDoQQERERERGRK6Rn5/HF2sN8uT6BzFwjAI0CfRkVGUq9Sr42rk5ELlE4V0zkGLOJzfyLfek7SM9PtVz3cvChplc4Ie4P4WzvYrsC70BUVBRDhgwhNTX1jp6zevVqWrduTUpKCj4+Pnd1LBERERERkaLqYq6RrzclMnNNPKlZeQDUrujNyIhQmgeV0gQPkSJG4VwxcPRiAktP/0q+Oe+Ke+n5qWw8v5I/U9bRvszj+LsGFurYvXr1Ys6cOVdcj4iIYMmSJYU61p1q2rQpycnJeHt727oUERERERGRey7PaOL7rUeZviKO0xdyAAgq48GI9iFEPOSnUE6kiFI4V8QdvZjAH6d+woz5uu3yzXn8ceonHi3btdADusjISGbPnm11zdnZuVDHuFN5eXk4OTnh5+dn61JERERERETuKaPJzG+7T/DRsliSzmcBUMHHlaHtQngirAL2dgrlRIoyO1sXINeWY8xm6elfbxjMXWLGzNLTv5JjzC7UOpydnfHz87P6KlGiBImJiRgMBnbt2mVpm5qaisFgYPXq1UDBUlODwcDixYupXbs2Li4uNG7cmH379l13zF9//ZXw8HBcXFyoUqUK77zzDvn5+Zb7BoOBmTNn8o9//AN3d3fef/99y1iXL1mNiooiICAANzc3nnjiCc6dO2c1Tnx8PI8//jhly5bFw8ODBg0asHz5cqs2OTk5jBgxggoVKuDu7k6jRo0s709ERERERMRWzGYzS/86yWPT1jHk+10knc+ilIcz7/zjIVaOaMmT9SoqmBMpBmwazo0ZMwaDwWD1Va1aNcv97OxsBgwYQMmSJfHw8KBr166cOnXK6hlJSUl06NABNzc3ypQpw8iRI61CHCgIiMLDw3F2diYoKIioqKgrapkxYwaVK1fGxcWFRo0a8eeff96V93wrYjP/uupS1uvJN+cRm/nXXaro9o0cOZLJkyezdetWSpcuTadOncjLu/p7W7duHT169GDw4MHs37+fzz77jKioKN5//32rdmPGjOGJJ55g79699O7d+4rnbNmyhT59+jBw4EB27dpF69atee+996zaZGRk8Nhjj7FixQp27txJZGQknTp1IikpydJm4MCBbNq0ifnz57Nnzx6eeuopIiMjiYuLK4RPRkRERERE5NZtPHSWJz7dSL9vthNz6gJeLg6MjAhl7ahW9GxaGWcHe1uXKCI3yeYz5x566CGSk5MtX+vXr7fcGzp0KL/99hs//vgja9as4cSJE3Tp0sVy32g00qFDB3Jzc9m4cSNz5swhKiqKt99+29ImISGBDh060Lp1a3bt2sWQIUPo27cv0dHRljbff/89w4YN41//+hc7duygTp06REREcPr06XvzIVyF2WxmX/qO2+q7L30HZvPNzba7GYsWLcLDw8Pqa9y4cbf0jH/961+0a9eOWrVqMWfOHE6dOsUvv/xy1bbvvPMOb7zxBj179qRKlSq0a9eOsWPH8tlnn1m1e/7553nxxRepUqUKAQEBVzxn2rRpREZGMmrUKEJCQhg0aBARERFWberUqUP//v2pWbMmwcHBjB07lqpVq7Jw4UKgIPydPXs2P/74Iy1atKBq1aqMGDGC5s2bX7HUV0RERERE5G7bdTSV7l9s4fkvtrDraCqujva82qoq60Y9woDWQbg5afcqkeLG5v/XOjg4XHWfsLS0NL788kvmzZvHI488AsDs2bOpXr06mzdvpnHjxixdupT9+/ezfPlyypYtS926dRk7diyvv/46Y8aMwcnJiVmzZhEYGMjkyZMBqF69OuvXr2fKlCmWoOajjz7ipZde4sUXXwRg1qxZLF68mK+++oo33njjHn0S1rJNF61OZb0V6fmp5JiycbF3LZRaWrduzcyZM62u+fr6kp6eftPPaNKkiVXf0NBQDhw4cNW2u3fvZsOGDVYz5YxGI9nZ2WRlZeHm5gZA/fr1rzvmgQMHeOKJJ66o4/KDLDIyMhgzZgyLFy8mOTmZ/Px8Ll68aJk5t3fvXoxGIyEhIVbPycnJoWTJkjfxzkVERERERO5c7KkLTF4aQ/RfBavJHO0NPN8wgAGPBFHG08XG1YnInbB5OBcXF0f58uVxcXGhSZMmjB8/noCAALZv305eXh5t27a1tK1WrRoBAQFs2rSJxo0bs2nTJmrVqkXZsmUtbSIiInjllVf466+/CAsLY9OmTVbPuNRmyJAhAOTm5rJ9+3ZGjx5tuW9nZ0fbtm3ZtGnT3X3z15FvurXlrP8rz5RbaOGcu7s7QUFBV1zPyMgAsJqld62lqrciIyODd955x2qW5CUuLv/9Q8fd3f2OxxoxYgTLli1j0qRJBAUF4erqypNPPklubq6lFnt7e7Zv3469vfW0cA8PjzseX0RERERE5HqOns9iyrJYftl1HLMZ7AzwRFhFhrQNxt/XzdbliUghsGk416hRI6KioggNDSU5OZl33nmHFi1asG/fPk6ePImTkxM+Pj5WfcqWLcvJkycBOHnypFUwd+n+pXvXa5Oens7FixdJSUnBaDRetc3BgwevWXtOTg45OTmW17cyi+xmONg53lF/RzunQqrk2kqXLg1AcnIyYWFhAFaHQ1xu8+bNlqWnKSkpxMbGUr169au2DQ8PJyYm5qqB4K2oXr06W7ZsuaKOy23YsIFevXpZZthlZGSQmJhouR8WFobRaOT06dO0aNHijuoRERERERG5WafTs/l45SHmb00iz1gwIeLRmn4MaxdCcFlPG1cnIoXJpuHco48+avnv2rVr06hRIypVqsQPP/yAq2vhzPq6W8aPH88777xz157vYueKl4PPbS1t9XLwwdmu8KY15+TkWMLOSxwcHChVqhSNGzdmwoQJBAYGcvr0ad56662rPuPdd9+lZMmSlC1bljfffJNSpUrRuXPnq7Z9++236dixIwEBATz55JPY2dmxe/du9u3bd8WBDtczaNAgmjVrxqRJk3j88ceJjo62WtIKEBwczM8//0ynTp0wGAz885//xGQyWe6HhITQrVs3evToweTJkwkLC+PMmTOsWLGC2rVr06FDh5uuR0RERERE5EZSs3KZteYwURsTyM4r+LdJi+BSjIwIpXZFH9sWJyJ3hc0PhLicj48PISEhHDp0CD8/P3Jzc0lNTbVqc+rUKcsedX5+flec3nrp9Y3aeHl54erqSqlSpbC3t79qm6vthXfJ6NGjSUtLs3wdPXr0tt7ztRgMBmp6hd9W35pe4RgMhXdc9pIlSyhXrpzVV/PmzQH46quvyM/Pp169egwZMuSa4dmECRMYPHgw9erV4+TJk/z22284OV19dl9ERASLFi1i6dKlNGjQgMaNGzNlyhQqVap0S3U3btyYzz//nGnTplGnTh2WLl16RXj40UcfUaJECZo2bUqnTp2IiIggPNz6c589ezY9evRg+PDhhIaG0rlzZ7Zu3XrVQyhERERERERuR2ZOPp+sjKPFh6uYtSae7DwT4QE+fPdSY77p00jBnMh9zGAuzGM971BGRgYBAQGMGTOGnj17Urp0ab777ju6du0KQExMDNWqVbPsOffHH3/QsWNHkpOTKVOmDAD//ve/GTlyJKdPn8bZ2ZnXX3+d33//nb1791rGef755zl//rxlFlWjRo1o2LAhH3/8MQAmk4mAgAAGDhx40wdCpKen4+3tTVpaGl5eXlb3srOzSUhIIDAw0GrPtBvJMWbz7bFZ5Jtvdh83Aw4GB7pXfBln+6KxIejq1atp3bo1KSkpVyxRltv/3hARERERkftDTr6ReVuSmLHqEGczCva+rubnyciIUB6pVqZQJ16IyL11vazocjZd1jpixAg6depEpUqVOHHiBP/617+wt7fnueeew9vbmz59+jBs2DB8fX3x8vLitddeo0mTJjRu3BiA9u3bU6NGDV544QU+/PBDTp48yVtvvcWAAQNwdnYG4OWXX+aTTz5h1KhR9O7dm5UrV/LDDz+wePFiSx3Dhg2jZ8+e1K9fn4YNGzJ16lQyMzMtp7fairO9C+3LPM4fp37CzI0zVAPQvszjRSaYExERERERkavLN5r4eedxpi2P43jqRQAqlXRjWLsQOtUuj52dQjmRB4VNw7ljx47x3HPPce7cOUqXLk3z5s3ZvHmz5aCBKVOmYGdnR9euXcnJySEiIoJPP/3U0t/e3p5Fixbxyiuv0KRJE9zd3enZsyfvvvuupU1gYCCLFy9m6NChTJs2jYoVK/LFF18QERFhafPMM89w5swZ3n77bU6ePEndunVZsmTJFYdE2IK/ayCPlu3K0tO/XncGnYPBkfZlHsffNfAeViciIiIiIiK3wmQys+Svk0xeGkP8mUwA/LxcGNQmmKfqV8TRvkjtPiUi90CRWtZanN2NZa2XyzFmE5v5F/vSd1gdEuHl4ENNr3BCPGribOd8J29BbEDLWkVEREREHgxms5m1cWeZGH2QfcfTASjh5sirrYJ4oUklXBztbVyhiBS2YrGsVW6es70LtbzqUdMznBxTNnmmXBztnHC2c9EeBCIiIiIiIkXYtsTzfBgdw58J5wFwd7Knb4sq9G0RiKeLo42rExFbUzhXzBgMBlzsXXGxd7V1KSIiIiIiInIdf51IY1J0DKtizgDg5GBHj8aVeLV1EL7uTjauTkSKCoVzIiIiIiIiIoXo8JkMpiyP47fdJwCwtzPwdH1/BrUJopy3JlqIiDWFcyIiIiIiIiKF4ETqRaaviOPH7ccwmgq2d/9HnfIMbRdCYCl3G1cnIkWVwjkRERERERGRO3AuI4dPV8fzzeYj5OabAGhTrQzD24dSo/y1N4EXEQGFc8WO2WzGmJqKKTMLO3c37H18dCCEiIiIiIiIDVzIzuPzdQl8ue4wmblGABoG+jIqIpT6lX1tXJ2IFBcK54oJY3o6aQsWcP7bb8lLOmq57hjgj2/37nh37oz9dY7lFWtjxoxhwYIF7Nq165ptevXqRWpqKgsWLLhndYmIiIiISNGXnWfk602JfLo6ntSsPABqVfBmZEQoLYJLaQKFiNwSO1sXIDeWsW49cS1bcWr8BPKOHrO6l3f0GKfGTyCuZSsy1q0v9LF79eqFwWDAYDDg5OREUFAQ7777Lvn5+YU+1r00YsQIVqxYYesyRERERESkGMkzmpi75QgtJ65i3O8HSc3Ko0ppdz7tFs7Cgc14OKS0gjkRuWWaOVfEZaxbz9H+/cFsLvj6X39fM2dnc7R/f/w/+wyPFs0LtYbIyEhmz55NTk4Ov//+OwMGDMDR0ZHRo0dbtcvNzcXJqXgcB+7h4YGHh4etyxARERERkWLAZDLz254TfLQsliPnsgCo4OPKkLbBPBFWAQd7zXsRkdun30GKMGN6OscGDbp2MHe5v9scGzQIY3p6odbh7OyMn58flSpV4pVXXqFt27YsXLiQXr160blzZ95//33Kly9PaGgoAHv37uWRRx7B1dWVkiVL0q9fPzIyMqye+dVXX/HQQw/h7OxMuXLlGDhwIAC9e/emY8eOVm3z8vIoU6YMX375JQA5OTkMGjSIMmXK4OLiQvPmzdm6daul/erVqzEYDKxYsYL69evj5uZG06ZNiYmJsbQZM2YMdevWtbw2Go0MGzYMHx8fSpYsyahRozD/z2e+ZMkSmjdvbmnTsWNH4uPjrdocPXqUp59+Gh8fH3x9fXn88cdJTEy8vQ9eRERERERsymw2s2z/KR6bvo7B83dx5FwWpTycGNOpBitHtOSp+v4K5kTkjul3kSIsbcECzNnZNw7mLjGbMWdnk7bg17tal6urK7m5uQCsWLGCmJgYli1bxqJFi8jMzCQiIoISJUqwdetWfvzxR5YvX24J3wBmzpzJgAED6NevH3v37mXhwoUEBQUB0LdvX5YsWUJycrKl/aJFi8jKyuKZZ54BYNSoUfz000/MmTOHHTt2EBQUREREBOfPn7eq880332Ty5Mls27YNBwcHevfufc33NHnyZKKiovjqq69Yv34958+f55dffrFqk5mZybBhw9i2bRsrVqzAzs6OJ554ApOp4DSmvLw8IiIi8PT0ZN26dWzYsAEPDw8iIyMtn5eIiIiIiBQPG+PP0mXmRl76ehsHT17A08WBkRGhrB3Vml7NAnF2sLd1iSJyn9Cy1iLKbDZz/ttvb6vv+W+/ocQL3Qt9rwOz2cyKFSuIjo7mtdde48yZM7i7u/PFF19YlrN+/vnnZGdn8/XXX+Pu7g7AJ598QqdOnfjggw8oW7Ys7733HsOHD2fw4MGWZzdo0ACApk2bEhoayjfffMOoUaMAmD17Nk899RQeHh5kZmYyc+ZMoqKiePTRRy1jLlu2jC+//JKRI0danvn+++/TsmVLAN544w06dOhAdnY2Li4uV7y3qVOnMnr0aLp06QLArFmziI6OtmrTtWtXq9dfffUVpUuXZv/+/dSsWZPvv/8ek8nEF198YfnsZ8+ejY+PD6tXr6Z9+/a3+cmLiIiIiMi9svtoKpOWxrAu7iwAro72vNisMv0froq3m6ONqxOR+5FmzhVRxtTUglNZb3bW3CVmM3lJRzGmphZaLYsWLcLDwwMXFxceffRRnnnmGcaMGQNArVq1rPaZO3DgAHXq1LEEcwDNmjXDZDIRExPD6dOnOXHiBG3atLnmeH379mX27NkAnDp1ij/++MMy6y0+Pp68vDyaNWtmae/o6EjDhg05cOCA1XNq165t+e9y5coBcPr06SvGS0tLIzk5mUaNGlmuOTg4UL9+fat2cXFxPPfcc1SpUgUvLy8qV64MQFJSEgC7d+/m0KFDeHp6Wva08/X1JTs7+4rlryIiIiIiUrTEnbpA/2+28fiMDayLO4ujvYGeTSqxZlQrRkVWUzAnIneNZs4VUabMrDvvX6JEodTSunVrZs6ciZOTE+XLl8fB4b/fNpeHcDfD1dX1hm169OjBG2+8waZNm9i4cSOBgYG0aNHilut2dPzvH56XZrJdWoJ6Ozp16kSlSpX4/PPPKV++PCaTiZo1a1qWrGZkZFCvXj3mzp17Rd/SpUvf9rgiIiIiInL3HD2fxZTlsSzYeRyTGewM8ERYRYa0Dcbf183W5YnIA0DhXBFl535nfwjcaf/Lubu7W/aEu5Hq1asTFRVFZmamJbjbsGEDdnZ2hIaG4unpSeXKlVmxYgWtW7e+6jNKlixJ586dmT17Nps2beLFF1+03KtatSpOTk5s2LCBSpUqAQV7vW3dupUhQ4bc1vvz9vamXLlybNmyhYcffhiA/Px8tm/fTnh4OADnzp0jJiaGzz//3BIUrl+/3uo54eHhfP/995QpUwYvL6/bqkVERERERO6N0+nZfLLqEN/9mUSesWDFUuRDfgxvH0JwWU8bVyciDxItay2i7H18cAzwh1vdN85gwDHAH3sfn7tS141069YNFxcXevbsyb59+1i1ahWvvfYaL7zwAmXLlgUKTkqdPHky06dPJy4ujh07dvDxxx9bPadv377MmTOHAwcO0LNnT8t1d3d3XnnlFUaOHMmSJUvYv38/L730EllZWfTp0+e26x48eDATJkxgwYIFHDx4kFdffZXUy5YGlyhRgpIlS/Lvf/+bQ4cOsXLlSoYNG3bFey9VqhSPP/4469atIyEhgdWrVzNo0CCOHTt227WJiIiIiEjhScvK44MlB3l44iq+3nSEPKOZFsGl+HVAM2a9UE/BnIjcc5o5V0QZDAZ8u3fn1PgJt9zXt/sLhX4YxM1yc3MjOjqawYMH06BBA9zc3OjatSsfffSRpU3Pnj3Jzs5mypQpjBgxglKlSvHkk09aPadt27aUK1eOhx56iPLly1vdmzBhAiaTiRdeeIELFy5Qv359oqOjKXEHy3iHDx9OcnIyPXv2xM7Ojt69e/PEE0+QlpYGgJ2dHfPnz2fQoEHUrFmT0NBQpk+fTqtWraze+9q1a3n99dfp0qULFy5coEKFCrRp00Yz6UREREREbCwzJ5+ojYnMWhPPhex8AMICfBgZEUrTqqVsXJ2IPMgMZvOtnjggV5Oeno63tzdpaWlXBDHZ2dkkJCQQGBh41ZNCr8WYnk5cy1aYs7Nv7mAIOzsMzs4Er1mNfTEPgzIyMqhQoQKzZ8+2nKB6P7rd7w0REREREbk5OflG5m1JYsaqQ5zNKNgvupqfJyPah9KmehmbTWwQkfvf9bKiy2nmXBFm7+VFxenTOdq/f8GF6wV0f/+BUvHjj4t1MGcymTh79iyTJ0/Gx8eHf/zjH7YuSUREREREiqF8o4mfdx5n2vI4jqdeBKBSSTeGtQuhU+3y2NkplBORokHhXBHn0aI5/p99xrFBgwpm0IF1SPd3KGdwcaHixx/j0byZDaosPElJSQQGBlKxYkWioqKsToYVERERERG5EZPJzJK/TjJ5aQzxZzIBKOvlzOA2ITxVvyKO9tp6XUSKFiUfxYBHi+YEr1lN2oJfOf/tN+QlHbXcc/SviG/3F/B+ojP2nsV/49LKlSujldYiIiIiInKrzGYza+POMjH6IPuOpwNQws2RV1sF8UKTSrg42tu4QhGRq1M4V0zYe3nh2+MFSrzQHWNqKqbMLOzc3bD38dEeCSIiIiIi8kDblnieD6Nj+DPhPADuTvb0bVGFvi0C8XRxtHF1IiLXp3CumDEYDDiUKAF3cDKpiIiIiIjI/WD/iXQmLY1h5cHTADg52NGjcSVeaVWVkh7ONq5OROTmKJwTERERERGRYiXhbCYfLYvlt90nALC3M/B0/YoMahNMOW9XG1cnInJrFM6JiIiIiIhIsZCcdpHpK+L4YdsxjKaCvar/Uac8Q9uFEFjK3cbViYjcHoVzIiIiIiIiUqSdy8hh5up4vt58hNx8EwBtqpVhePtQapT3snF1IiJ3RuFccWM2Q3Y25OeBgyO4uIAOhBARERERkfvQhew8Pl+XwJfrDpOZawSgYaAvoyJCqV/Z18bViYgUDoVzxUVODsTGwL69kJ7+3+teXlCzFoSEgnPR2vDUYDDwyy+/0LlzZxITEwkMDGTnzp3UrVv3qu1Xr15N69atSUlJwcfH557WKiIiIiIiRUd2npGvNyXy6ep4UrPyAKhVwZuREaG0CC6FQRMUROQ+onCuODiaBEujIT//ynvp6bBxA/y5BdpHgH9AoQ7dq1cv5syZc8X1uLg4goKCbvo5/v7+JCcnU6pUqcIsT0RERERE7iN5RhM/bDvK9BVxnErPAaBqaXdGtA8lsqafQjkRuS8pnCvqjibBH78XLGe9nvz8gnaPPlboAV1kZCSzZ8+2ula6dOlbeoa9vT1+fn6FWZaIiIiIiNwnTCYzv+05wUfLYjlyLguACj6uDGkbzBNhFXCwt7NxhSIid49+hyvKcnIKZszdKJi7xGwuaJ+TU6hlODs74+fnZ/Vlb2/Pr7/+Snh4OC4uLlSpUoV33nmH/KvN7gMSExMxGAzs2rXLcu33338nJCQEV1dXWrduTWJiolWfc+fO8dxzz1GhQgXc3NyoVasW3333nVUbk8nE+PHjCQwMxNXVlTp16vCf//ynUN+/iIiIiIjcHWazmeX7T/HY9HUMnr+LI+eyKOXhxJhONVg5oiVP1fdXMCci9z3NnCvKYmOuvpT1evLzC/rVqn13avrbunXr6NGjB9OnT6dFixbEx8fTr18/AP71r3/dsP/Ro0fp0qULAwYMoF+/fmzbto3hw4dbtcnOzqZevXq8/vrreHl5sXjxYl544QWqVq1Kw4YNARg/fjzffvsts2bNIjg4mLVr19K9e3dKly5Ny5YtC/+Ni4iIiIhIodgYf5aJ0THsTEoFwMvFgf4tq/Jis8q4OemfqiLy4NDveEWV2Vxw+MPt2Le34JCIQtqPYdGiRXh4eFheP/roo6SkpPDGG2/Qs2dPAKpUqcLYsWMZNWrUTYVzM2fOpGrVqkyePBmA0NBQ9u7dywcffGBpU6FCBUaMGGF5/dprrxEdHc0PP/xAw4YNycnJYdy4cSxfvpwmTZpY6li/fj2fffaZwjkRERERkSJo99FUJi2NYV3cWQBcHe15sVll+j9cFW83RxtXJyJy7ymcK6qys61PZb0V6ekFS1tdXAqllNatWzNz5kzLa3d3d2rXrs2GDRt4//33LdeNRiPZ2dlkZWXh5uZ23WceOHCARo0aWV27FLBd/rxx48bxww8/cPz4cXJzc8nJybE8+9ChQ2RlZdGuXTurfrm5uYSFhd3WexURERERkbsj7tQFJi+NZclfJwFwtDfwfMMABjwSRBnPwvm3i4hIcaRwrqjKz7uz/nm5hRbOubu7X3Eya0ZGBu+88w5dunS5or1LIY07ceJEpk2bxtSpU6lVqxbu7u4MGTKE3NxcSw0AixcvpkKFClZ9nZ2dC6UGERERERG5M0fPZzFleSwLdh7HZAY7AzwRVpEhbYPx973+D/VFRB4ECueKKoc7nM7t6FQ4dVxDeHg4MTExV4R2N6t69eosXLjQ6trmzZutXm/YsIHHH3+c7t27AwWHP8TGxlKjRg0AatSogbOzM0lJSVrCKiIiIiJSxJy+kM0nKw/x3Z9J5BkLDrmLfMiP4e1DCC7raePqRESKDoVzRZWLC3h53d7SVi8vuMszx95++206duxIQEAATz75JHZ2duzevZt9+/bx3nvv3bD/yy+/zOTJkxk5ciR9+/Zl+/btREVFWbUJDg7mP//5Dxs3bqREiRJ89NFHnDp1yhLOeXp6MmLECIYOHYrJZKJ58+akpaWxYcMGvLy8LPvhiYiIiIjIvZOWlcestfHM3pBAdp4JgBbBpRjRPpQ6/j62LU5EpAjSmdRFlcFQcKjD7SjEwyCuJSIigkWLFrF06VIaNGhA48aNmTJlCpUqVbqp/gEBAfz0008sWLCAOnXqMGvWLMaNG2fV5q233iI8PJyIiAhatWqFn58fnTt3tmozduxY/vnPfzJ+/HiqV69OZGQkixcvJjAwsLDeqoiIiIiI3ITMnHxmrDpE8w9XMnN1PNl5JsICfPjupcZ806eRgjkRkWswmM1ms62LuB+kp6fj7e1NWloaXl5eVveys7NJSEggMDDw1vZjy8mBb7+G/Pyb7+PgAN173PWZc1I4bvt7Q0RERESkiMjJN/LdliQ+WXWIsxkF+0NX8/NkRPtQ2lQvg+EuTxwQESmqrpcVXU7LWosyZ2doHwF//A43k6EaDNA+UsGciIiIiIjcdflGE7/sPM7U5XEcT70IQKWSbgxrF0Kn2uWxs1MoJyJyMxTOFXX+AfDoY7A0+voz6BwcCoI5f/97V5uIiIiIiDxwzGYzf+w7yeSlMcSfyQSgrJczg9uE8FT9ijjaa/ckEZFboXCuOPAPKFiqGhsD+/ZaHxLh5VWwx1xIqGbMiYiIiIjIXWM2m1kbd5ZJ0THsPZ4GQAk3R15tFcQLTSrh4mhv4wpFRIonhXPFhbMz1KpdEMTl5EBeLjg6FVzXHg4iIiIiInIXbT9yng+XxLAl4TwA7k729G1Rhb4tAvF0cbRxdSIixZvCueLGYAAXl4IvERERERGRu2j/iXQmLY1h5cHTADg52NGjcSVeaVWVkh5auSMiUhgUzomIiIiIiIiVhLOZTFkWy8LdJwCwtzPwdP2KvPZIMOV9XG1cnYjI/UXhnIiIiIiIiACQnHaR6Svi+GHbMYwmMwCd6pRnWLsQAku527g6EZH7k8I5ERERERGRB9y5jBxmro7n681HyM03AfBItTIMbx/CQ+W9bVydiMj9TeFcMWM2m8nOzCMv24ijiz0u7o4YdCCEiIiIiIjchgvZeXyxLoEv1h0mM9cIQMNAX0ZFhFK/sq+NqxMReTAonCsmcrLyOLjpJHtWHyP9zEXLda/SrtRuVZFqTfxwdnuwT0lavXo1rVu3JiUlBR8fn6u2iYqKYsiQIaSmpt7T2kREREREipLsPCPfbDrCp6sPkZKVB0DNCl6MjKjGw8GlNAFAROQeUjhXDCT9dY4//r2P/BzjFffSz1xk/Y9xbF54mEf71STgoZKFOnavXr1ITU1lwYIFVtdvJgi715o2bUpycjLe3pp2LyIiIiJyNXlGEz9uO8b0FXGcTM8GoEppd0a0D+XRmn4K5UREbEDhXBGX9Nc5Fs3Yjdl8/Xb5uUYWzdhNxwF1Cj2gKy6cnJzw8/OzdRkiIiIiIkWOyWTmtz0n+GhZLEfOZQFQwceVwW2D6RJWAQd7OxtXKCLy4NLvwEVYTlYef/x7X0Ewd4NwDjOYzfDHv/eR8/e09HshMzMTLy8v/vOf/1hdX7BgAe7u7ly4cAGA119/nZCQENzc3KhSpQr//Oc/ycuzrvPXX38lPDwcFxcXqlSpwjvvvEN+fr7lvsFg4IsvvuCJJ57Azc2N4OBgFi5caLm/evVqDAaD1ZLVqKgoAgICcHNz44knnuDcuXNWY8bHx/P4449TtmxZPDw8aNCgAcuXL7dqk5OTw4gRI6hQoQLu7u40atSI1atX38nHJiIiIiJyT5jNZpbvP8Vj09cxeP4ujpzLopSHE//qVIOVI1rydH1/BXMiIjam34WLsIObThYsZb1RMHeJGfJzjBzcfPKu1nU5d3d3nn32WWbPnm11ffbs2Tz55JN4enoC4OnpSVRUFPv372fatGl8/vnnTJkyxdJ+3bp19OjRg8GDB7N//34+++wzoqKieP/9962e+8477/D000+zZ88eHnvsMbp168b58+evWtuWLVvo06cPAwcOZNeuXbRu3Zr33nvPqk1GRgaPPfYYK1asYOfOnURGRtKpUyeSkpIsbQYOHMimTZuYP38+e/bs4amnniIyMpK4uLg7+uxERERERO6mTfHn6DpzI32/3sbBkxfwdHFgZEQoa0a25sVmgTg72Nu6RBERAQxm840WTMrNSE9Px9vbm7S0NLy8vKzuZWdnk5CQQGBgIC4uLjf1PLPZzLdvb7Y6/OFmeZV2pfu7jQtlv4hevXrx7bffXlG30WgkOzublJQUYmNjadq0KUePHqVcuXKcPn2aChUqsHz5clq2bHnV506aNIn58+ezbds2ANq2bUubNm0YPXq0pc23337LqFGjOHHiBFAwc+6tt95i7NixQMGsPQ8PD/744w8iIyOv2Afv+eefJy0tjcWLF1ue+eyzz7JkyZLrHghRs2ZNXn75ZQYOHEhSUhJVqlQhKSmJ8uXLW9q0bduWhg0bMm7cuFv7QP/H7XxviIiIiIhcz55jqUyMjmFd3FkAXBzteLFZIP0froKPm5ONqxMReXBcLyu6nPacK6KyM/NuK5iDgkMicjLzcfEonNNbW7duzcyZM62ubdmyhe7duwPQsGFDHnroIebMmcMbb7zBt99+S6VKlXj44Yct7b///numT59OfHw8GRkZ5OfnW31j7t69mw0bNljNlLsUAGZlZeHm5gZA7dq1Lffd3d3x8vLi9OnTV637wIEDPPHEE1bXmjRpwpIlSyyvMzIyGDNmDIsXLyY5OZn8/HwuXrxomTm3d+9ejEYjISEhVs/JycmhZMkHc28/ERERESma4k5dYPLSWJb8VbCSxtHewHMNAxjYOogyXvpBsIhIUaVwrojKy77yZNZbkZtdeOGcu7s7QUFBVteOHTtm9bpv377MmDGDN954g9mzZ/Piiy9aZu5t2rSJbt268c477xAREYG3tzfz589n8uTJlv4ZGRm88847dOnS5YrxL59R5uho/Z4MBgMmk+m239uIESNYtmwZkyZNIigoCFdXV5588klyc3Mtddnb27N9+3bs7a2n/Xt4eNz2uCIiIiIiheXo+SymLo/jl53HMJnBYIAnwiowtG0I/r5uti5PRERuQOFcEeXocmf7Pzi53Ntf2u7duzNq1CimT5/O/v376dmzp+Xexo0bqVSpEm+++abl2pEjR6z6h4eHExMTc0UIeCeqV6/Oli1brK5t3rzZ6vWGDRvo1auXZYZdRkYGiYmJlvthYWEYjUZOnz5NixYtCq02EREREZE7dfpCNjNWHmLen0nkGQt2K4p4qCzD24cSUtbTxtWJiMjNUjhXRLm4O+JV2vW295xzdr+3v7QlSpSgS5cujBw5kvbt21OxYkXLveDgYJKSkpg/fz4NGjRg8eLF/PLLL1b93377bTp27EhAQABPPvkkdnZ27N69m3379l1xiMPNGjRoEM2aNWPSpEk8/vjjREdHWy1pvVTbzz//TKdOnTAYDPzzn/+0mokXEhJCt27d6NGjB5MnTyYsLIwzZ86wYsUKateuTYcOHW6rNhERERGR25WWlcdna+OZvSGRi3kFK25aBJdiRPtQ6vj72LY4ERG5ZTqttYgyGAzUblXxxg2vonbrioVyGMSt6tOnD7m5ufTu3dvq+j/+8Q+GDh3KwIEDqVu3Lhs3buSf//ynVZuIiAgWLVrE0qVLadCgAY0bN2bKlClUqlTptutp3Lgxn3/+OdOmTaNOnTosXbqUt956y6rNRx99RIkSJWjatCmdOnUiIiKC8PBwqzazZ8+mR48eDB8+nNDQUDp37szWrVsJCAi47dpERERERG5VVm4+M1YdosWHK/l0dTwX84zU9fdh3kuN+KZPIwVzIiLFlE5rLSSFfVorQE5WHlGjN5Kfa4Sb+VUygIOTPb3GN8XZrXD2m7sV33zzDUOHDuXEiRM4OekUqJuh01pFRERE5EZy8o18tyWJT1bFczYjB4DQsp6MiAilbfUyNvnBvIiI3JhOa70POLs58mi/miyasbsgm7teQGco2Pj10f4173kwl5WVRXJyMhMmTKB///4K5kRERERECoHRZObnHceYujyO46kF290E+LoxrF0IneqUx95OoZyIyP1Ay1qLuICHStJxQB0cnK5/QISDkz0dB9YhoEbJe1TZf3344YdUq1YNPz8/Ro8efc/HFxERERG5n5jNZv7Ym0zE1LWM/M8ejqdepIynM+91rsmK4S3pHFZBwZyIyH1Ey1oLyd1Y1nq5nKw8Dm4+yZ5Vx6wOifAq7Urt1hWp1qQczq6aCFncaFmriIiIiFxiNptZF3eWidEx7D2eBoCPmyOvtqpKjyaVcXG8/g/sRUSkaNGy1vuMs5sjdR7xp3briuRk5pObnY+TiwPO7g7aY0JEREREpJjbfuQ8Hy6JYUvCeQDcnezp06IKfVsE4uVy7/eTFhGRe0fhXDFjMBhw8XDExUN/QIuIiIiIFHcHktOZFB3DioOnAXBysOOFxpV4tVVVSno427g6ERG5FxTOiYiIiIiI3GMJZzOZsiyW3/acwGwGezsDT9WryKA2wZT3cbV1eSIicg8pnBMREREREblHktMuMn3FIX7YdhSjqWD77461yzGsXQhVSnvYuDoREbEFhXMiIiIiIiJ32fnMXGauPsScTUfIzTcB0Dq0NCMiQnmovLeNqxMREVtSOFfMmM1m8nONGI0m7O3tcHCy14EQIiIiIiJF1IXsPL5cn8AX6xLIyMkHoGFlX0ZGhtKgsq+NqxMRkaJA4VwxkZ9n5HRSKsmHz5OTlWe57uzmSLkqvpQJ8MHhAT1avXLlygwZMoQhQ4YABYdm/PLLL3Tu3Pmq7RMTEwkMDGTnzp3UrVv3ntUpIiIiIg+O7Dwj324+woxVh0j5++/vD5X3YmREKC1DSusH7CIiYmFn6wLkxlJOZ7AtOpbEfaesgjmAnKw8EvedYlt0LCmnMwp97F69emEwGHj55ZevuDdgwAAMBgO9evUqlLEqV67M1KlT7/g5ycnJPProo3dekIiIiIjILcozmpi3JYlWE1fz3uIDpGTlUaW0OzOeD+e3gc1pFVpGwZyIiFjRzLkiLuV0Bgc2J4H5+u1MRjMHNidRvXEAJcoU7kay/v7+zJ8/nylTpuDqWnByVHZ2NvPmzSMgIKBQxyoMfn5+ti5BRERERB4wJpOZ3/acYMqyWBLPZQFQ3tuFIW1D6BJeAQd7zYsQEZGr058QRVh+npGYP4/eMJizMEPMn0fJzzMWah3h4eH4+/vz888/W679/PPPBAQEEBYWZrl2tZlvdevWZcyYMQXlmc2MGTOGgIAAnJ2dKV++PIMGDQKgVatWHDlyhKFDh2IwGKx+mrh+/XpatGiBq6sr/v7+DBo0iMzMzGvWazAYWLBggeX1n3/+SVhYGC4uLtSvX5+dO3datTcajfTp04fAwEBcXV0JDQ1l2rRpVzz3iy++oHr16ri4uFCtWjU+/fTTG352IiIiInJ/M5vNrDhwisemr2Pw/F0knsuipLsT/+pUg1UjW/F0A38FcyIicl2aOVeEnU5KxWS82WSugMlo5kxSKuWqlizUWnr37s3s2bPp1q0bAF999RUvvvgiq1evvuln/PTTT0yZMoX58+fz0EMPcfLkSXbv3g0UhH116tShX79+vPTSS5Y+8fHxREZG8t577/HVV19x5swZBg4cyMCBA5k9e/YNx8zIyKBjx460a9eOb7/9loSEBAYPHmzVxmQyUbFiRX788UdKlizJxo0b6devH+XKlePpp58GYO7cubz99tt88sknhIWFsXPnTl566SXc3d3p2bPnTX8GIiIiInL/2Hz4HBOjY9h+JAUAT2cH+reswovNAnF31j+1RETk5uhPjCLKbDaTfPj8bfU9cfg8flV8C3Uvi+7duzN69GiOHDkCwIYNG5g/f/4thXNJSUn4+fnRtm1bHB0dCQgIoGHDhgD4+vpib2+Pp6en1bLU8ePH061bN8thD8HBwUyfPp2WLVsyc+ZMXFxcrjvmvHnzMJlMfPnll7i4uPDQQw9x7NgxXnnlFUsbR0dH3nnnHcvrwMBANm3axA8//GAJ5/71r38xefJkunTpYmmzf/9+PvvsM4VzIiIiIg+YvcfS+DD6IOvizgLg4mhHr6aBvNyyCj5uTjauTkREihuFc0VUfq7xisMfblZOVh75eUYcnQrvl7d06dJ06NCBqKgozGYzHTp0oFSpUrf0jKeeeoqpU6dSpUoVIiMjeeyxx+jUqRMODteuc/fu3ezZs4e5c+darpnNZkwmEwkJCVSvXv26Yx44cIDatWtbhXhNmjS5ot2MGTP46quvSEpK4uLFi+Tm5lpOcs3MzCQ+Pp4+ffpYzerLz8/H29v7Zt++iIiIiBRzh05fYPLSWP7YdxIABzsDzzUM4LVHgijjdf0fGouIiFyLwrkiymg03Vn/fBOOhfxDu969ezNw4ECgIMz6X3Z2dpjN1stw8/L+GzD6+/sTExPD8uXLWbZsGa+++ioTJ05kzZo1ODo6XnXMjIwM+vfvb9mb7nKFdRjF/PnzGTFiBJMnT6ZJkyZ4enoyceJEtmzZYqkB4PPPP6dRo0ZWfe3t7QulBhEREREpuo6ez2Laijh+3nEMkxkMBniibgWGtA0hoKSbrcsTEZFiTuFcEWV/h5vG2jsU/qazkZGR5ObmYjAYiIiIuOJ+6dKlSU5OtrxOT08nISHBqo2rqyudOnWiU6dODBgwgGrVqrF3717Cw8NxcnLCaLQ+zCI8PJz9+/cTFBR0WzVXr16db775huzsbMvsuc2bN1u12bBhA02bNuXVV1+1XIuPj7f8d9myZSlfvjyHDx+27LknIiIiIve/MxdymLHqEHO3HCHv772g29coy4iIUELKetq4OhERuV8onCuiHJzscXZzvK2lrc5ujjg4Fv6MLnt7ew4cOGD57//1yCOPEBUVRadOnfDx8eHtt9+2ahcVFYXRaKRRo0a4ubnx7bff4urqSqVKlYCC017Xrl3Ls88+i7OzM6VKleL111+ncePGDBw4kL59++Lu7s7+/ftZtmwZn3zyyQ1rfv7553nzzTd56aWXGD16NImJiUyaNMmqTXBwMF9//TXR0dEEBgbyzTffsHXrVgIDAy1t3nnnHQYNGoS3tzeRkZHk5OSwbds2UlJSGDZs2G19niIiIiJSNKVl5fHvdfF8tT6Ri3kFPzxuHlSKERGh1PX3sW1xIiJy31E4V0QZDAbKVfElcd+pW+5bvpAPg7icl5fXNe+NHj2ahIQEOnbsiLe3N2PHjrWaOefj48OECRMYNmwYRqORWrVq8dtvv1GyZMHJsu+++y79+/enatWq5OTkYDabqV27NmvWrOHNN9+kRYsWmM1mqlatyjPPPHNT9Xp4ePDbb7/x8ssvExYWRo0aNfjggw/o2rWrpU3//v3ZuXMnzzzzDAaDgeeee45XX32VP/74w9Kmb9++uLm5MXHiREaOHIm7uzu1atWyHFQhIiIiIsVfVm4+szck8tmaeNKz8wGo4+/D6xGhNA26tf2WRUREbpbB/L+bhMltSU9Px9vbm7S0tCsCrOzsbBISEggMDLzh6aKXy88zsi06FpPx5n+J7OwN1I8IuSsz56Tw3e73hoiIiIgUntx8E9/9mcTHKw9xNiMHgJCyHoxoH0q7GmXv2g++RUTk/na9rOhymjlXhDk42hPa0J8Dm5PgZvI5A1Rr6K9gTkRERETkJhhNZn7ZeZypy2M5lnIRAH9fV4a1C+EfdSpgb6dQTkRE7r7CPzXgNk2YMAGDwWC1TDA7O5sBAwZQsmRJPDw86Nq1K6dOWS/zTEpKokOHDri5uVGmTBlGjhxJfn6+VZvVq1cTHh6Os7MzQUFBREVFXTH+jBkzqFy5Mi4uLjRq1Ig///zzbrzNW1aijAfVGwdgZ3/9vxjY2Ruo0TgAnzIe96gyEREREZHiyWw2s2RfMhFT1zLix90cS7lIGU9nxnauyYphrXgirKKCORERuWeKxMy5rVu38tlnn1G7dm2r60OHDmXx4sX8+OOPeHt7M3DgQLp06cKGDRsAMBqNdOjQAT8/PzZu3EhycjI9evTA0dGRcePGAZCQkECHDh14+eWXmTt3LitWrKBv376UK1fOcuLo999/z7Bhw5g1axaNGjVi6tSpREREEBMTQ5kyZe7th3EVJcp4UD8ihDNJqZw4fN7qkAhnN0fKV/GldICPZsyJiIiIiFyH2Wxm/aGzTIyOYc+xNAC8XR15pVVVejapjKuT/j4tIiL3ns33nMvIyCA8PJxPP/2U9957j7p16zJ16lTS0tIoXbo08+bN48knnwTg4MGDVK9enU2bNtG4cWP++OMPOnbsyIkTJyhbtiwAs2bN4vXXX+fMmTM4OTnx+uuvs3jxYvbt22cZ89lnnyU1NZUlS5YA0KhRIxo0aGA5/dNkMuHv789rr73GG2+8cVPv427sOXc1ZrOZ/DwjxnwT9g52ODjaaw+MYkx7zomIiIjcG9uPpDAx+iCbD58HwM3Jnr7NA+n7cBW8XBxtXJ2IyAPObIa8LDDmgr0TOLrBfZB1FJs95wYMGECHDh1o27Yt7733nuX69u3bycvLo23btpZr1apVIyAgwBLObdq0iVq1almCOYCIiAheeeUV/vrrL8LCwti0aZPVMy61ubR8Njc3l+3btzN69GjLfTs7O9q2bcumTZuuWXdOTg45OTmW1+np6bf9GdwKg8GAo5MDjk73ZDgRERERkWLt4Ml0JkXHsPzAaQCc7O3o3rgSr7auSikPZxtXJyLygMu7CMk74OhGuHj+v9ddfcG/KZQLB0dX29V3j9g0nJs/fz47duxg69atV9w7efIkTk5O+Pj4WF0vW7YsJ0+etLS5PJi7dP/Sveu1SU9P5+LFi6SkpGA0Gq/a5uDBg9esffz48bzzzjs390ZFREREROSeSjybyZTlsSzcfQKzGewM8FQ9fwa1DaaCz/3/Dz0RkSLvXCzsmVswW+5/XTwPsYsgfinU7gYlQ+59ffeQzcK5o0ePMnjwYJYtW1Ysl/ONHj2aYcOGWV6np6fj7+9vw4pERERERORkWjbTV8bxw9aj5JsKdvDpULscw9qFULW0Dk8TESkSzsXCzqgbtzPmFbQL63VfB3Q2C+e2b9/O6dOnCQ8Pt1wzGo2sXbuWTz75hOjoaHJzc0lNTbWaPXfq1Cn8/PwA8PPzu+JU1UunuV7e5n9PeD116hReXl64urpib2+Pvb39VdtcesbVODs74+ysafAiIiIiIkXB+cxcZq2JZ87GRHLyTQC0Ci3NiPah1KzgbePqRETEIu9iwYw5AG50DIIZMBS0b/7GfbvE1c5WA7dp04a9e/eya9cuy1f9+vXp1q2b5b8dHR1ZsWKFpU9MTAxJSUk0adIEgCZNmrB3715Onz5tabNs2TK8vLyoUaOGpc3lz7jU5tIznJycqFevnlUbk8nEihUrLG2KErPZTFZ6GmmnT5GVnoaNz/MQEREREbGpjJx8pi2P4+EPV/HvtYfJyTfRoHIJfujfhKgXGyqYExEpapJ3/L2U9WbzDHNB++Qdd7Mqm7LZzDlPT09q1qxpdc3d3Z2SJUtarvfp04dhw4bh6+uLl5cXr732Gk2aNKFx48YAtG/fnho1avDCCy/w4YcfcvLkSd566y0GDBhgmdX28ssv88knnzBq1Ch69+7NypUr+eGHH1i8eLFl3GHDhtGzZ0/q169Pw4YNmTp1KpmZmbz44ov36NO4sezMDPavWcGOJb+Rduqk5bp3WT/CIztRo2UbXNyLzzT9Vq1aWU7mvZbKlSszZMgQy+EdIiIiIiKXZOcZ+XbzET5dHc/5zIL9imqU82JkZCitQkpjuA9O+RMRue+YzQWHP9yOoxsLDom4D39/t/lprdczZcoU7Ozs6Nq1Kzk5OURERPDpp59a7tvb27No0SJeeeUVmjRpgru7Oz179uTdd9+1tAkMDGTx4sUMHTqUadOmUbFiRb744gsiIiIsbZ555hnOnDnD22+/zcmTJ6lbty5Lliy54pAIW0nctZ2FH40nLzfnintpp0+x6usvWD//G/4xbDSV69Yr1LGvFaJFRUUxZMgQUlNTb+u5P//8M46OOrJeRERERG5NntHEf7YfY/qKOJLTsgGoUsqdYe1DeKxmOezs7r9/tImI3DfysqxPZb0VF88X9HdyL9yaioAiFc6tXr3a6rWLiwszZsxgxowZ1+xTqVIlfv/99+s+t1WrVuzcufO6bQYOHMjAgQNvutZ7JXHXdn7+4J2C5atXW8L697W83Bx+/uAdurz+r0IP6G5Vbm4uTk5O123j6+t7j6oRERERkfuByWRm0d5kpiyLJeFsJgDlvV0Y3DaYruEVcbC32Y49IiJys652Must97//wjn9CVaEZWdmsPCj8dcO5i5nNmM2m1n40XiyMzPuTYF/69WrF507d+b999+nfPnyhIaGAvDpp58SHByMi4sLZcuW5cknn7T0adWqldVy1dOnT9OpUydcXV0JDAxk7ty5/zsMH330EbVq1cLd3R1/f39effVVMjKs3+v69etp0aIFrq6u+Pv7M2jQIDIzM+/OGxcRERGRu85sNrPy4Ck6fLyeQd/tJOFsJiXdnXi7Yw1WjmjFMw0CFMyJiBQX9tefyHPX+xdRRWrmnFjbv2ZFwVLWmz30wWwmLzeH/WtXEv7oP+5ucf9jxYoVeHl5sWzZMgC2bdvGoEGD+Oabb2jatCnnz59n3bp11+zfq1cvTpw4wapVq3B0dGTQoEFWB30A2NnZMX36dAIDAzl8+DCvvvoqo0aNsix1jo+PJzIykvfee4+vvvqKM2fOWGZEzp49++69eRERERG5K7YcPsfE6Bi2HUkBwNPZgX4PV+HF5oF4OOufMiIixY6jG7j63t7SVlffgv73If2JVkSZzWZ2LPnt5oO5y+z4YyFhkZ3u6Sa47u7ufPHFF5blrD///DPu7u507NgRT09PKlWqRFhY2FX7xsbG8scff/Dnn3/SoEEDAL788kuqV69u1e7ymXaVK1fmvffe4+WXX7aEc+PHj6dbt26WdsHBwUyfPp2WLVsyc+ZMXFxcCvldi4iIiMjdsPdYGhOXxrA29gwAzg529GpWmZcfrkoJ9/tz1oSIyAPBYCg41CF20a33vU8PgwCFc0XWxQvpVqey3jSzmbRTJ8nOuICrp1fhF3YNtWrVstpnrl27dlSqVIkqVaoQGRlJZGQkTzzxBG5uV6bcBw4cwMHBgXr1/rtXXrVq1fDx8bFqt3z5csaPH8/BgwdJT08nPz+f7OxssrKycHNzY/fu3ezZs8dqSazZbMZkMpGQkHBF2CciIiIiRcuh0xf4aFksv+8t+Huwg52BZxv689ojwZT10g9aRUTuC+XCIX4pGPOAm5mQZAB7x4J+9yltzlBE5WVn31H/3IsXC6UOLy8v0tLSrriempqKt7e35bW7u/WGjJ6enuzYsYPvvvuOcuXK8fbbb1OnTp3bPt01MTGRjh07Urt2bX766Se2b99uOSgkN7dgQ8mMjAz69+/Prl27LF+7d+8mLi6OqlWr3ta4IiIiInL3HUvJYuSPu2k/ZS2/7z2JwQBPhFVgxfCWvNe5loI5EZH7iaMr1O7294sbzYT7+37tbgX97lOaOVdEOd7hEkwn18L5pg0NDWXp0qVXXN+xYwchISHX7evg4EDbtm1p27Yt//rXv/Dx8WHlypV06dLFql21atXIz89n+/btlmWtMTExVkHe9u3bMZlMTJ48GTu7gkz5hx9+sHpOeHg4+/fvJygo6HbeqoiIiIjcY2cu5DBj1SHmbUki12gCoF2NsoxoH0qon6eNqxMRkbumZAiE9YI9c69/gqu9Y0EwV/L6+UNxp3CuiHL19MK7rB9pp0/d2r5zBgPeZcri4lE4f5l55ZVX+OSTTxg0aBB9+/bF2dmZxYsX89133/Hbb79ds9+iRYs4fPgwDz/8MCVKlOD333/HZDJZTnK9XGhoKJGRkfTv35+ZM2fi4ODAkCFDcL0sYAwKCiIvL4+PP/6YTp06sWHDBmbNmmX1nNdff53GjRszcOBA+vbti7u7O/v372fZsmV88sknhfJ5iIiIiMidS7uYx7/XxvPV+kQu5hkBaFq1JCMjQgkLKGHj6kRE5J4oGQLN34DkHXB0o/UhEa6+BXvMla8HDvf/7GmFc0WUwWAgPLITq77+4pb7hj/6j0I7DKJKlSqsXbuWN998k7Zt25Kbm0u1atX48ccfiYyMvGY/Hx8ffv75Z8aMGUN2djbBwcF8993/s3ff4VFW+fvH3zOTmfQEEiAJkECAJIDSUQiIgAJBsWBZGyoodhQBwfJzLeu6FooK1tVVY8FV1+/qrqD0poBIRwQSCCWUFCAkIX3K8/tjJGukZcKEScj9uq691pnnnGc+EyMZ7pxzPv/kvPPOO+H4Dz/8kLvuuov+/fsTFRXF888/z1NPPVV5vUuXLrzyyiu8/PLLPPHEE1x88cW8+OKL3H777ZVjOnfuzNKlS3nyySfp168fhmHQtm1bbrzxRq98LURERETkzJRUOEhdsZt3lmRQWOYAoEtsIx5NSaJvuyY+rk5ERM46ayDE9XUHcfYS9yo6i83dlfUcbf5wIibDqEE7UDlOYWEh4eHhFBQUEBZWtRFDWVkZu3btIj4+3qOOoWXFRbx7/yjsFeXVWj1nMpnws/lzz9upBASHePwe5Oyr6feGiIiISH1S4XDx+epMXl+0g4NHywFIjArhkSFJDOkY5bVfLIuIiNQlp8qKfk8r5+qwgOAQrprwBP9++S/u/iWnCuhMJjCZuOqR/6dgTkRERETqBKfL4Jv1+3l1QTr7jrgblsVGBDJ+UCJXd22BxaxQTkREROFcHde6aw+ufewZ/vvKi+4VdFA1pPvtt4xWmz9XPfL/aN3l3G0tLCIiIiL1g2EYzP01h2nz0tieWwRA01B/xl7SjhsviMPmZ/ZxhSIiInWHwrl6oHXXHtzzdipbli1i3ff/pSAnu/JaeLMoul92Fef1vxT/oGAfVikiIiIiDZ1hGPy44xBT5qaxaV8BAOGBVu7r35ZRfVoTaLP4uEIREZG6R+FcPREQHEL3y66i29ArKSs6SkVpKbbAQAJCQnVGh4iIiIj43LrMI0yZk8bKnYcBCLJZGH1RPHf1a0N4oNXH1YmIiNRdCufqGZPJRGBoGIGhJz9IUERERETkbNmWXcjUueks2JoDgM1iZkTvOB4Y0I6mof4+rk5ERKTuUzgnIiIiIiIe23O4mFfmp/PfjQcwDDCb4PoeLXl4UCItGgX6ujwREZF6Q+GciIiIiIhUW3ZBGTMWbefL1XtxuNyNyoZ1imH84ETaNQvxcXUiIiL1j8I5ERERERE5rSPFFby9NIOPVuym3OECoH9iUyalJHF+i3AfVyciIlJ/KZyrZwzDwFFehtNux2K14ucfoIYQIiIiIlJrisodvP/DLt77YSdF5Q4AerZqzKSUJHq1ifRxdSIiIvWfwrl6wlFeTu72bWRt2UTZ0cLK5wNCw4jp2JlmCe3x86//B+6mpqYybtw48vPzTzpm1KhR5Ofn880335x0zJIlSxg4cCBHjhyhUaNGNX4tERERkYaqzO7k05/28NaSDPKKKwDoEBPGoylJDEhqql8Qi4iIeInZ1wXI6R3Zl8nqz1PZterHKsEcQNnRQnat+pHVn6dyZF+m11971KhRmEwm7rvvvuOujRkzBpPJxKhRo7z+uqcyffp0UlNTKx8PGDCAcePGVRnTp08fsrKyCA/XFgsRERERTzicLv75cyYDpy7h+dlbySuuIL5JMK/f3I3ZD13EwPbNFMyJiIh4kVbO1XFH9mWyZd4sMIxTjnM5HGyZN4uOQ66gccs4r9YQGxvL559/zquvvkpgoLvzVllZGZ999hlxcd59reqoTuBms9mIjo4+C9WIiIiInBtcLoNZv2Tx6vx0dh0qBiAmPICHL03g+h4t8bPo9/oiIiK1QT9h6zBHeTnbFn5/2mCukmGwbeH3OMrLvVpH9+7diY2N5d///nflc//+97+Ji4ujW7dulc+5XC5efPFF4uPjCQwMpEuXLnz11VeV15csWYLJZGL27Nl07tyZgIAAevfuzebNm497zblz59KhQwdCQkIYOnQoWVlZlddGjRrF8OHDK/956dKlTJ8+HZPJhMlkYvfu3ZWv9fstq6mpqcTFxREUFMQ111zD4cOHq7xmRkYGV199NVFRUYSEhHDBBRewYMGCKmPKy8uZOHEiLVq0IDg4mF69erFkyZKafFlFRERE6gTDMFi0LYdhr//I2H+uZ9ehYiKCbTx1RUcWTxzATRfGKZgTERGpRfopW4flbt+Gy+HwaI7L4SB3xzav13LnnXfy4YcfVj7+4IMPuOOOO6qMefHFF/n444955513+PXXXxk/fjy33norS5curTJu0qRJTJs2jdWrV9O0aVOuvPJK7HZ75fWSkhKmTp3KJ598wrJly8jMzGTixIknrGv69OkkJydz9913k5WVRVZWFrGxsceNW7VqFaNHj+bBBx9kw4YNDBw4kOeff77KmKKiIi6//HIWLlzI+vXrGTp0KFdeeSWZmf/bLvzggw+ycuVKPv/8czZt2sSf/vQnhg4dyvbt26v/xRQRERGpI1btPMyf3lnJnalr2JpVSKi/HxMGJ7Ls0YGMviieAKvF1yWKiIic87SttY4yDIOsLZtqNDfr103EdOzs1bNAbr31Vp544gn27NkDwPLly/n8888rV42Vl5fzwgsvsGDBApKTkwFo06YNP/74I3//+9/p379/5b2eeeYZBg8eDMBHH31Ey5Yt+frrr7nhhhsAsNvtvPPOO7Rt2xZwB2LPPffcCesKDw/HZrMRFBR0ym2s06dPZ+jQoTz66KMAJCYmsmLFCubMmVM5pkuXLnTp0qXy8V//+le+/vpr/vvf//Lggw+SmZnJhx9+SGZmJs2bNwdg4sSJzJkzhw8//JAXXnih+l9QERERER/avL+AyXPTWJZ+EAB/PzOj+rTmvv5taRxs83F1IiIiDYvCuTrKUV52XPOH6io7WoijvBxrQIDX6mnatCnDhg0jNTUVwzAYNmwYTZo0qby+Y8cOSkpKKkO3YyoqKqpsfQUqwzuAiIgIkpKS2Lp1a+VzQUFBlcEcQExMDLm5uWdU/9atW7nmmmuOq+P34VxRURHPPvsss2fPJisrC4fDQWlpaeXKuV9++QWn00liYmKV+5SXlxMZGXlG9YmIiIicDTtyi3hlfhrf/ZINgJ/ZxI0XxPLQJQlEh3vvs6OIiIhUn8K5Osr5u22eNZtf4dVwDtxbWx988EEA3nzzzSrXioqKAJg9ezYtWrSocs3f39+j17FarVUem0wmjOqeu3cGJk6cyPz585k6dSrt2rUjMDCQ66+/noqKCsD9Hi0WC2vXrsViqbrFIyQkpNbrExEREampfUdKmL5gO/+3bh8uA0wmuKpLc8YPSqR1k2BflyciItKgKZyroyx/CKg8n+/97QhDhw6loqICk8lESkpKlWsdO3bE39+fzMzMKltYT+Snn36q7PJ65MgR0tPT6dChQ43rstlsOJ3OU47p0KEDq1atOq6O31u+fDmjRo2qXGFXVFTE7t27K69369YNp9NJbm4u/fr1q3G9IiIiImfLwaPlvLl4B5+tyqTC6QJgcMcoHhmSSPvoMB9XJyIiIqBwrs7y8w8gIDSsRltbA0LD8PNwtVp1WCyWyu2nf1w5FhoaysSJExk/fjwul4uLLrqIgoICli9fTlhYGCNHjqwc+9xzzxEZGUlUVBRPPvkkTZo0qey+WhOtW7dm1apV7N69m5CQECIiIo4bM3bsWPr27cvUqVO5+uqrmTt3bpUtrQAJCQn8+9//5sorr8RkMvHUU0/hcrkqrycmJjJixAhuv/12pk2bRrdu3Th48CALFy6kc+fODBs2rMbvQURERMSbCkrtvLdsJx8s30VJhfuXmMltIpk0NInucY19XJ2IiIj8nrq11lEmk4mYjp1rNDfmPO82g/i9sLAwwsJO/FvWv/71rzz11FO8+OKLdOjQgaFDhzJ79mzi4+OrjHvppZd4+OGH6dGjB9nZ2Xz77bfYbDVf6Tdx4kQsFgsdO3akadOmVbqrHtO7d2/ee+89pk+fTpcuXZg3bx5//vOfq4x55ZVXaNy4MX369OHKK68kJSWF7t27Vxnz4Ycfcvvtt/PII4+QlJTE8OHDWb16deVKQBERERFfKq1w8taSHfR7eRFvLN5BSYWTLi3D+XR0Lz67u5eCORERkTrIZJyNw7wagMLCQsLDwykoKDguvCorK2PXrl3Ex8cT4ME5cI7yclZ/norL4aj2HLOfHxfcNKpWVs6dqSVLljBw4ECOHDlCo0aNfF1OnVDT7w0RERGR36twuPh8dSavL9rBwaPlACQ0C+GRIUmknBdVa7+4FRERkZM7VVb0e9rWWof5+fvT/tLL2DJvFlQnQzWZaH/pZXUymBMRERER73O6DL5Zv59XF6Sz70gpAC0bBzJ+UCLDu7XAYlYoJyIiUtcpnKvjGreMo+OQK9i28PtTrqAz+/nR/tLLaNxS2ytFREREznWGYTD31xymzUtje24RAE1D/Rl7STtuvCAOm59OrxEREakvFM7VA41bxnHBTaPI3bGNrF83VWkSERAaRsx5nWmW0B4/W91eMTdgwAC0i1pERESk5gzDYPmOw0yZu42N+woACA+0cl//tozs04ogmz7ei4iI1Df66V1P+Pn70/y8LsR07IyjvBynvQKL1Yafv7/OEBERERFpANZlHmHKnDRW7jwMQJDNwp1947n74jaEB1p9XJ2IiIjUlMK5esZkMmENCMCq5gEiIiIiDcK27EKmzk1nwdYcAGwWMyN6x/HAgHY0Da3bOydERETk9M44nHM6nfzyyy+0atWKxo3Vml1E6gnDAHsJOCvAYgNrEGgVqoiI1CF7Dhfz6vx0/rPxAIYBZhNc36MlYy9NoGXjIF+XJyIiIl7icTg3btw4OnXqxOjRo3E6nfTv358VK1YQFBTErFmzGDBgQC2UKSLiJfZSyFoHe1dAad7/ng+MgNg+ENMdrIG+q09ERBq87IIyXl+0nS9W78Xhcp/XO6xTDOMHJ9KuWYiPqxMRERFv8zic++qrr7j11lsB+Pbbb9m1axfbtm3jk08+4cknn2T58uVeL1JExCsOp8Omme7Vcn9UmgfpsyBjHnQeAZGJZ78+ERFp0I4UV/D20gw+WrGbcocLgP6JTZk4JIlOLcN9XJ3UKq3oFxFp0DwO5w4dOkR0dDQA3333HX/6059ITEzkzjvvZPr06V4vUKoyDANXiQOj3InJ34I5yE8NIUSq43A6rE89/Tin3T2u2ygFdCIiclYUlTv44MddvLdsJ0fLHQD0bNWYSSlJ9GoT6ePqpFZpRb+IiFCDcC4qKootW7YQExPDnDlzePvttwEoKSnBYrF4vUBxc5U6KF6bQ9GKAzjzyiqft0QEENKnOcE9ojAHnnv9PUwmE19//TXDhw9n9+7dxMfHs379erp27Vqt+c8++yzffPMNGzZsAGDUqFHk5+fzzTffnHTOgAED6Nq1K6+99toZ1y91hL3UvWIOAOM0gw3A5B5/0eP6QCwiIrWmzO7k05/28NaSDPKK3au6O8SE8WhKEgOSmuoXsOc6regXEZHfmD2dcMcdd3DDDTdw/vnnYzKZGDRoEACrVq2iffv2Xi9QoCz9CFkvrqJg1s4qwRyAM6+Mglk7yXpxFWXpR7z+2qNGjcJkMvHSSy9Vef6bb7456x8YY2NjycrK4vzzz6/2nIkTJ7Jw4cLKx9OnTyc1NbUWqpM6LWvdbx98TxfMHWO4x2etq82qRESkgXI4XXz+cyYDpy7h+dlbySuuIL5JMK/f3I3ZD13EwPbNFMyd646t6HfaTz3u2Ir+w+lnoyoREfERj5daPfvss5x//vns3buXP/3pT/j7u9u3WywWHn/8ca8X2NCVpR/h0IebTzvOsLs49OFmmtxxPgGJ3u2aGxAQwMsvv8y9997r0468Foulckt1dYWEhBAS8r+Dk8PDdV5Lg2MY7q0iNbF3hXtLif6CJCIiXuByGcz+JYtX5qez61AxADHhATx8aQLX9WiJ1eLx782lPtKKfhER+YMafQK4/vrrGT9+PC1btgQgPz+fkSNHcvXVV3u1uIbOVerg8Kdb3A+q83MbOPzpFlylDq/WMWjQIKKjo3nxxRdPeP3w4cPcfPPNtGjRgqCgIDp16sQ///nPKmMGDBjA2LFjefTRR4mIiCA6Oppnn322ypjt27dz8cUXExAQQMeOHZk/f36V67t378ZkMlVuUV2yZAkmk4mFCxfSs2dPgoKC6NOnD2lpaZVznn322SpbYEeNGsXw4cMrHxcXF3P77bcTEhJCTEwM06ZNO+79ffLJJ/Ts2ZPQ0FCio6O55ZZbyM3NrTJm8+bNXHbZZYSEhBAVFcVtt93GoUOHTvYllbPJXlL1DBdPlOa554uIiJwBwzBYvC2XK17/kYf+uZ5dh4qJCLbx1BUdWTxxADddGKdgriHRin4REfkDjz8FvPzyy3zxxReVj2+44QYiIyNp2bIlmzZt8mpxDV3x2hyMCpdHP7eNChfF63K8WofFYuGFF17g9ddfZ9++fcddLysro0ePHsyePZvNmzdzzz33cNttt/Hzzz9XGffRRx8RHBzMqlWrmDx5Ms8991xlAOdyubj22mux2WysWrWKd955h8cee6xa9T355JNMmzaNNWvW4Ofnx5133lnt9zZp0iSWLl3Kf/7zH+bNm8eSJUtYt67qBx+73c5f//pXNm7cyDfffMPu3bsZNWpU5fX8/HwuueQSunXrxpo1a5gzZw45OTnccMMN1a5DatGJznE5m/NFRKRB+3lXHjf8fSV3pK5mS1Yhof5+TBicyLJHBzL6ongCrDqzuUE50xX9RnX/YiAiIvWJx9ta33nnHWbOdC/Dnj9/PvPnz+f777/nyy+/ZOLEicybN8/rRTZEhmFQtOJAjeYWLT9ASJ/mXj2r5JprrqFr164888wzvP/++1WutWjRgokTJ1Y+fuihh5g7dy5ffvklF154YeXznTt35plnngEgISGBN954g4ULFzJ48GAWLFjAtm3bmDt3Ls2bNwfghRde4LLLLjttbX/729/o378/AI8//jjDhg2jrKyMgICAU84rKiri/fff59NPP+XSSy8F3AHisRWhx/w+7GvTpg0zZszgggsuoKioiJCQEN544w26devGCy+8UDnugw8+IDY2lvT0dBITdYCvT1lsvp0vIiIN0ub9BUyZm8bS9IMA+PuZGdWnNff1b0vjYP1sabC8saLfFuzdmkRExOc8Dueys7OJjY0FYNasWdxwww0MGTKE1q1b06tXL68X2FC5ShzHNX+oLmdeGa4SB5Zgq1drevnll7nkkkuqBHEATqeTF154gS+//JL9+/dTUVFBeXk5QUFBVcZ17ty5yuOYmJjK7aFbt24lNja2MpgDSE5OrlZdv79vTEwMALm5ucTFxZ1yXkZGBhUVFVW+byMiIkhKSqoybu3atTz77LNs3LiRI0eO4HK5AMjMzKRjx45s3LiRxYsXVznb7vevoXDOx6xBEBhRsw/CgRHu+SIiItW0I7eIV+enM/uXLAD8zCZuvCCWsZcmEBV26l8cSgPglRX9CudERM41HodzjRs3Zu/evcTGxjJnzhyef/55wL3Sy+l0er3AhsooP7OvpVHuBC+HcxdffDEpKSk88cQTVbZ1TpkyhenTp/Paa6/RqVMngoODGTduHBUVVT98WK1V6zGZTJVB15n4/X2PrRb0xn3BfSZdSkoKKSkpzJw5k6ZNm5KZmUlKSkrl+ysqKuLKK6/k5ZdfPm7+sbBQfMhkcjd1SJ/l+Vw1gxARkWrad6SEGQu389XafbgM94+Pq7s0Z/zgRFpFKkyR32hFv4iInIDH4dy1117LLbfcQkJCAocPH67cdrh+/XratWvn9QIbKpP/mZ0/cqbzT+all16ia9euVVaXLV++nKuvvppbb70VcAdj6enpdOzYsdr37dChA3v37iUrK6sy0Prpp5+8W/wftG3bFqvVyqpVqypX2R05coT09PTKbbLbtm3j8OHDvPTSS5UrRtesWVPlPt27d+f//u//aN26NX5+Hv8nJWdDTHfImAdOO9U7xNEEFqt7noiIyCkcKirnjUU7+GxVJhVO9y8HB3eM4pEhibSPDvNxdVLnaEW/iIicgMcNIV599VUefPDBym6ax7byZWVl8cADD3i9wIbKHOSHJaJmWx8sEQGYg2onJOrUqRMjRoxgxowZlc8lJCQwf/58VqxYwdatW7n33nvJyfGsKcWgQYNITExk5MiRbNy4kR9++IEnn3zS2+VXERISwujRo5k0aRKLFi1i8+bNjBo1CrP5f/9ZxMXFYbPZeP3119m5cyf//e9/+etf/1rlPmPGjCEvL4+bb76Z1atXk5GRwdy5c7njjju0mrSusAZC5xG/PTjdSrjfrnce4Z4nIiJyAgWldqbOTePiyYtJXbGbCqeL5DaR/PuBPrx3e08Fc3Jix1b014RW9IuInLM8TnCsVutxZ44BjB8/3isFiZvJZCKkT3MKZu30eG5IX+82g/ij5557rkrH3j//+c/s3LmTlJQUgoKCuOeeexg+fDgFBQXVvqfZbObrr79m9OjRXHjhhbRu3ZoZM2YwdOjQ2ngLlaZMmVK5LTU0NJRHHnmkSt1NmzYlNTWV//f//h8zZsyge/fuTJ06lauuuqpyTPPmzVm+fDmPPfYYQ4YMoby8nFatWjF06NAqQZ/4WGQidBsFm2ae+rwXi9UdzEXqrEARETleaYWT1BW7eWdpBgWldgC6tAxnUkp7+raLrNXPYHKO0Ip+ERH5A5Nh1Kwf95YtW8jMzDzuXLHfhxYNSWFhIeHh4RQUFBAWVvU3pWVlZezatYv4+PjTdhD9PVepg6wXV2HYXdX+uW2ymol5ohfmQG2vrA9q+r0hZ8BeClnrYO+KqltKAiPcv5Fu3gP89O9CRESqqnC4+GJ1JjMW7eDg0XIAEpqFMDEliSEdoxTKiWcOp8P61N8enOqD/m/fV91G6ReHIiL10Kmyot/zOMHZuXMn11xzDb/88gsmk4lj2d6xDyTaxuc95kA/Im/tyKEPN7t/Llfj53bkrR0VzImcijUQ4vq6gzh7iXsVncXmPsNFf7ESEZE/cLoM/rNhP68uSGdvXikALRsHMmFwIld3bYHFrJ8dUgNa0S8iIr/jcYrz8MMPEx8fz8KFC4mPj+fnn3/m8OHDPPLII0ydOrU2amzQAhIb0+SO8zn86RaMipN3IDVZzUTe2pGAxMZnsTqResxkAlswoA56IiJyPMMwmLclh2nz0kjPKQKgaag/Yy9px40XxGHz09EVcoYiE+Gix7WiX0REPA/nVq5cyaJFi2jSpAlmsxmz2cxFF13Eiy++yNixY1m/fn1t1NmgBSQ2JuaJXhSvy6Fo+QGceWWV1ywRAYT0bU5wjyjMAVoxJyIiInKmftx+iClzt7Fxn/sc2vBAK/f2b8OoPq0JsunzlniRVvSLiAg1COecTiehoaEANGnShAMHDpCUlESrVq1IS0vzeoHiZg70I7RvC0L6NMdV4sAod2Lyt2AO8tMZJyIiIiJesC7zCFPnprEi4zAAQTYLd/aN5+6L2xAeaPVxdXJO04p+EZEGzeNw7vzzz2fjxo3Ex8fTq1cvJk+ejM1m491336VNmza1UaP8jslkwhJshWB9QBQRERHxhrTso0ydl8b8LTkA2CxmRvSO44EB7Wga6u/j6kRERORc53E49+c//5ni4mIAnnvuOa644gr69etHZGQkX3zxhdcLFBERERGpDXsOF/Pagu18s2E/hgFmE1zfoyVjL02gZeMgX5cnIiIiDYTH4VxKSkrlP7dr145t27aRl5dH48aNtb1SREREROq8nMIyZizczher9+JwGQAM6xTD+MGJtGsW4uPqREREpKHxyom2ERER3riNiIiIiEitOVJcwTtLM0hdsZtyhwuA/olNmTgkiU4tw31cnYiIiDRUHodzZWVlvP766yxevJjc3FxcLleV6+vWrfNacXI8wzDA7sRwuDD5mcFq0YpFERERkVMoKnfwwY+7eG/ZTo6WOwDo2aoxk1KS6NUm0sfViYiISEPncTg3evRo5s2bx/XXX8+FF16oYOgsMexOnPuP4NxzGKOkovJ5U5ANS6tILC0aY7JafFjh8Vq3bs24ceMYN25ctcY/++yzfPPNN2zYsKFW60pNTWXcuHHk5+f7vBYRERGpPWV2JzNXZfLW4h0cLnZ/fuoQE8ajKUkMSGqqz7EiIiJSJ3gczs2aNYvvvvuOvn371kY9cgLOg0exr88Ep+u4a0ZJBY6tWTjSc7B2i8PSNNTrr793716eeeYZ5syZw6FDh4iJiWH48OE8/fTTREbWv98233jjjVx++eW+LkNERERqicPp4v/W7WP6gu0cKCgDIL5JMBMGJzKsUwxms0I5ERERqTs8DudatGhBaKj3AyA5MefBo9jX7K7GQJd7XM/WXg3odu7cSXJyMomJifzzn/8kPj6eX3/9lUmTJvH999/z008/1bszBwMDAwkMDPR1GSIiIuJlLpfBd5uzeGVeOjsPFQMQEx7Aw5cmcF2PllgtZh9XKCIiInI8jz+hTJs2jccee4w9e/bURj3yO4bd6V4x5wH7+kwMu9NrNYwZMwabzca8efPo378/cXFxXHbZZSxYsID9+/fz5JNPApCbm8uVV15JYGAg8fHxzJw587h7ZWZmcvXVVxMSEkJYWBg33HADOTk5x437+9//TmxsLEFBQdxwww0UFBRUuf6Pf/yDDh06EBAQQPv27Xnrrbcqr+3evRuTycS///1vBg4cSFBQEF26dGHlypWVY1JTU2nUqFGVe7700ktERUURGhrK6NGjKSsrq3J99erVDB48mCZNmhAeHk7//v2PO18xPz+fu+66i6ZNmxIWFsYll1zCxo0bq/eFFhERkRozDIPF23K54vUfefCz9ew8VExEsI0/D+vA4okDuOnCOAVzIiIiUmd5/CmlZ8+elJWV0aZNG0JDQ4mIiKjyP/Ee5/4jJ9zKeupJLvc8L8jLy2Pu3Lk88MADx600i46OZsSIEXzxxRcYhsGoUaPYu3cvixcv5quvvuKtt94iNze3crzL5eLqq68mLy+PpUuXMn/+fHbu3MmNN95Y5b47duzgyy+/5Ntvv2XOnDmsX7+eBx54oPL6zJkzefrpp/nb3/7G1q1beeGFF3jqqaf46KOPqtznySefZOLEiWzYsIHExERuvvlmHA7HCd/nl19+ybPPPssLL7zAmjVriImJqRL4ARw9epSRI0fy448/8tNPP5GQkMDll1/O0aNHK8f86U9/Ijc3l++//561a9fSvXt3Lr30UvLy8jz7wouIiEi1/bwrjxv+vpI7UlezJauQEH8/xg9KZNmjA7mrXxsC6tiZvCIiIiJ/5PG21ptvvpn9+/fzwgsvEBUVpYN0a4lhGDj3HK7RXOeew1haRZ7xv5vt27djGAYdOnQ44fUOHTpw5MgRVq9ezffff8/PP//MBRdcAMD7779fZd7ChQv55Zdf2LVrF7GxsQB8/PHHnHfeeaxevbpyXllZGR9//DEtWrQA4PXXX2fYsGFMmzaN6OhonnnmGaZNm8a1114LQHx8PFu2bOHvf/87I0eOrHy9iRMnMmzYMAD+8pe/cN5557Fjxw7at29/3Pt47bXXGD16NKNHjwbg+eefZ8GCBVVWz11yySVV5rz77rs0atSIpUuXcsUVV/Djjz/y888/k5ubi7+/PwBTp07lm2++4auvvuKee+6p7pddREREqmHz/gKmzktjSdpBAPz9zIzs05r7+7elcbDNx9WJiIiIVJ/H4dyKFStYuXIlXbp0qY165Bi7s0pXVk8YJRVgd4LN43+9J76fYZzy+tatW/Hz86NHjx6Vz7Vv377K1tGtW7cSGxtbGcwBdOzYkUaNGrF169bKcC4uLq4ymANITk7G5XKRlpZGaGgoGRkZjB49mrvvvrtyjMPhIDw8vEpNnTt3rvznmJgYwL319kTh3NatW7nvvvuqPJecnMzixYsrH+fk5PDnP/+ZJUuWkJubi9PppKSkhMxM97bjjRs3UlRUdFyDjNLSUjIyMk7ylRMRERFPZRws4pV56cz+JQsAP7OJGy6IZewlCUSHB/i4OhERERHPeZzetG/fntLS0tqoRX7HcHi4nfUE801n+Evjdu3aYTKZ2Lp1K9dcc81x17du3Urjxo2PO7+tthQVFQHw3nvv0atXryrXLJaqW1asVmvlPx9bQehy1fxrOnLkSA4fPsz06dNp1aoV/v7+JCcnU1FRUVlbTEwMS5YsOW7u2fr6iIiInMv255cyY8F2vlq3D6fLwGSCq7s0Z9ygRFo3CfZ1eSIiIiI15nE499JLL/HII4/wt7/9jU6dOlUJQQDCwsK8VlxDZvI7s0OLz3Q+QGRkJIMHD+att95i/PjxVc6dy87OZubMmdx+++20b98eh8PB2rVrK1fApaWlkZ+fXzm+Q4cO7N27l71791auntuyZQv5+fl07NixclxmZiYHDhygefPmAPz000+YzWaSkpKIioqiefPm7Ny5kxEjRpzx+/t9batWreL222+vfO6nn36qMmb58uW89dZbXH755QDs3buXQ4cOVV7v3r072dnZ+Pn50bp1a6/VJiIi0tAdKirnzcU7mPlTJhW/ncU7qEMUjwxJpEOMPneKiIhI/edxODd06FAALr300irPG4aByWTC6fRep9AGzWrBFGSr0dZWU5ANvHT48RtvvEGfPn1ISUnh+eefJz4+nl9//ZVJkybRokUL/va3vxEREcHQoUO59957efvtt/Hz82PcuHFVwrxBgwbRqVMnRowYwWuvvYbD4eCBBx6gf//+9OzZs3JcQEAAI0eOZOrUqRQWFjJ27FhuuOEGoqOjAff5cWPHjiU8PJyhQ4dSXl7OmjVrOHLkCBMmTKjRe3z44YcZNWoUPXv2pG/fvsycOZNff/2VNm3aVI5JSEjgk08+oWfPnhQWFjJp0qTj3l9ycjLDhw9n8uTJJCYmcuDAAWbPns0111xT5T2KiIjI6RWW2Xlv2U7e/3EXJRXuz5e920QwKaU9PVo19nF1IiIiIt7jcTj3+3O4pPaYTCYsrSJxbM3yeK43mkEck5CQwJo1a3jmmWe44YYbyMvLIzo6muHDh/PMM89Uduj98MMPueuuu+jfvz9RUVE8//zzPPXUU1Xez3/+8x8eeughLr74YsxmM0OHDuX111+v8nrt2rXj2muv5fLLLycvL48rrriiSufUu+66i6CgIKZMmcKkSZMIDg6mU6dOjBs3rsbv8cYbbyQjI4NHH32UsrIyrrvuOu6//37mzp1bOeb999/nnnvuoXv37sTGxvLCCy8wceLEKu/vu+++48knn+SOO+7g4MGDREdHc/HFFxMVFVXj2kRERBqa0gonH63czdtLMigotQPQpWU4k1La07ed9z7jiIiIiNQVJuN0p/1LtRQWFhIeHk5BQcFxW3vLysrYtWsX8fHxBARU/6Biw+6kfPE2cHpwVprFjP/A9pi8tHJOaldNvzdERETONRUOF1+s2cvrC7eTe7QcgIRmITwyJImU86IUyomIiEi9c6qs6Pe8085TaoXJasHaLQ77mt3VnmPtFqdgTkREROoNp8vgvxv38+r87WTmlQDQsnEg4wclMrxbCyxmhXIiIiJyblM4V8dZmoZCz9bY12eeegWdxYy1W5x7vIiIiEgdZxgG87fkMG1eOmk5RwFoEuLP2EvbcdMFcdi80NxKREREpD5QOFcPWJqGYh7YHuf+Izj3HK7SJMIUZMPSKhJLi8ZaMSciIiL1wvIdh5g8N42Ne/MBCAvw474BbRnVpzVBNn08FRERkYZFn37qCZPVgl/rJlhaRYLdieFwYfIzu7u66gwWERERqQfWZx5h6rw0lu84DECg1cKdF7XmnovbEh5o9XF1IiIiIr5Ro3DO4XCwZMkSMjIyuOWWWwgNDeXAgQOEhYUREhLi7Rrld0wmE9j8MNl8XYmIiIhI9aRlH2XavDTmbckBwGYxc0uvOMYMbEfTUH8fVyciIiLiWx6Hc3v27GHo0KFkZmZSXl7O4MGDCQ0N5eWXX6a8vJx33nmnNuoUEZHfMwywl4CzAiw2sAaBVtGKSB2TebiEVxek882G/RgGmE1wbfeWjBuUQMvGQb4uT0RERKRO8Dice/jhh+nZsycbN24kMjKy8vlrrrmGu+++26vFiYjIH9hLIWsd7F0BpXn/ez4wAmL7QEx3sAb6rj4RESC3sIwZi7bz+c97cbgMAC7vFM2EwYm0a6bmVSIiIiK/53E498MPP7BixQpstqr7Klu3bs3+/fu9VpiIiPzB4XTYNNO9Wu6PSvMgfRZkzIPOIyAy8ezXJyINXn5JBW8vzeCjFbsps7u7zF+c2JRJQ5Lo1DLcx9WJiIiI1E0eh3Mulwun03nc8/v27SM0VL8JrW2GYVBSUkJFRQU2m42goCA1hBBpCA6nw/rU049z2t3juo1SQCciZ01xuYMPftzFu8t2crTcAUCPVo2ZlJJE7zaRp5ktIiIi0rCZPZ0wZMgQXnvttcrHJpOJoqIinnnmGS6//HKP7vX222/TuXNnwsLCCAsLIzk5me+//77yellZGWPGjCEyMpKQkBCuu+46cnJyqtwjMzOTYcOGERQURLNmzZg0aRIOh6PKmCVLltC9e3f8/f1p164dqampx9Xy5ptv0rp1awICAujVqxc///yzR++ltpWWlvLTTz8xY8YMpkyZwvTp05kyZQozZszgp59+orS01Cd1LVmyBJPJRH5+PgCpqak0atTIK/c2mUx88803J72+e/duTCYTGzZs8MrridRZ9lL3ijkAjNMM/u36ppnueSIitajM7uSDH3dx8eTFTJufztFyB+2jQ3l/ZE++ui9ZwZyIiIhINXgczk2bNo3ly5fTsWNHysrKuOWWWyq3tL788sse3atly5a89NJLrF27ljVr1nDJJZdw9dVX8+uvvwIwfvx4vv32W/71r3+xdOlSDhw4wLXXXls53+l0MmzYMCoqKlixYgUfffQRqampPP3005Vjdu3axbBhwxg4cCAbNmxg3Lhx3HXXXcydO7dyzBdffMGECRN45plnWLduHV26dCElJYXc3FxPvzy1YseOHbzyyivMmTOHI0eOVLl25MgR5syZwyuvvMKOHTtqrYaVK1disVgYNmxYlef79OlDVlYW4eHe36qSlZXFZZdd5vX7itQ7Wet+28p6umDuGMM9PmtdbVYlIg2Yw+niy9V7uWTqEp6btYXDxRW0jgxixs3d+G5sPy7tEKWV/SIiIiLVZDIMo7p/26vkcDj44osv2LhxI0VFRXTv3p0RI0YQGHjmh5BHREQwZcoUrr/+epo2bcpnn33G9ddfD8C2bdvo0KEDK1eupHfv3nz//fdcccUVHDhwgKioKADeeecdHnvsMQ4ePIjNZuOxxx5j9uzZbN68ufI1brrpJvLz85kzZw4AvXr14oILLuCNN94A3Ft3Y2Njeeihh3j88cerVXdhYSHh4eEUFBQQFhZW5VpZWRm7du0iPj6egIAAj74eO3bsYObMmVTnX5PJZGLEiBG0a9fOo9eojrvuuouQkBDef/990tLSaN68+QnHpaamMm7cuMqVdDVxbMvu6ezevZv4+HjWr19P165da/x6vnQm3xvSQBgGrJhatflDdQVGQJ+J6uIqIl7jchl8tzmLV+als/NQMQDRYQE8PCiB63u0xGrx+Pe+IiIiIuesU2VFv+fxJ6hly5YBMGLECCZPnsxbb73FXXfdhdVqrbxWE06nk88//5zi4mKSk5NZu3YtdrudQYMGVY5p3749cXFxrFy5EnCv5urUqVNlMAeQkpJCYWFh5eq7lStXVrnHsTHH7lFRUcHatWurjDGbzQwaNKhyzImUl5dTWFhY5X/eVlpayhdffFGtYA7c59F98cUXXt/iWlRUxBdffMH999/PsGHDqmwL/uO21j8aNWoUw4cPr/LcuHHjGDBgQOXjAQMG8OCDDzJu3DiaNGlCSkoKcPy21p9//plu3boREBBAz549Wb9+fZX7Op1ORo8eTXx8PIGBgSQlJTF9+vTjavrHP/5Bhw4dCAgIoH379rz11lsefT1Ezip7Sc2COXDPs5d4tx4RaZAMw2BxWi5XvvEjD362np2HimkcZOXPwzqwZNIAbr4wTsGciIiISA153BBi4MCBZGVl0axZsyrPFxQUMHDgwBM2iziVX375heTkZMrKyggJCeHrr7+mY8eObNiwAZvNdtz5ZVFRUWRnZwOQnZ1dJZg7dv3YtVONKSwspLS0lCNHjuB0Ok84Ztu2bSet+8UXX+Qvf/mLR+/VUxs3bsRut3s0x263s3HjRnr37u21Or788kvat29PUlISt956K+PGjeOJJ57w6naVjz76iPvvv5/ly5ef8HpRURFXXHEFgwcP5tNPP2XXrl08/PDDVca4XC5atmzJv/71LyIjI1mxYgX33HMPMTEx3HDDDQDMnDmTp59+mjfeeINu3bqxfv167r77boKDgxk5cqTX3o+I15yoM6vH84O9UoqINEyrd+cxZU4aP+92/6IgxN+Pu/rFM/qieEIDrD6uTkRERKT+8zicMwzjhKHM4cOHCQ72/C+ASUlJbNiwgYKCAr766itGjhzJ0qVLPb7P2fbEE08wYcKEyseFhYXExsZ67f6GYbBq1aoazV21ahW9evXyWnj2/vvvc+uttwIwdOhQCgoKWLp0aZXVb2cqISGByZMnn/T6Z599hsvl4v333ycgIIDzzjuPffv2cf/991eOsVqtVQLT+Ph4Vq5cyZdfflkZzj3zzDNMmzat8uzC+Ph4tmzZwt///neFc1I3WU6/xbtW54tIg7V5fwFT56WxJO0gADY/MyOTW3H/gHZEBOvPFhERERFvqXY4dyzMMJlMjBo1Cn9//8prTqeTTZs20adPH48LsNlslWek9ejRg9WrVzN9+nRuvPFGKioqyM/Pr7J6Licnh+joaACio6OP66p6rJvr78f8scNrTk4OYWFhBAYGYrFYsFgsJxxz7B4n4u/vX+Vr4G0lJSXHNX+oriNHjlBaWkpQUNAZ15GWlsbPP//M119/DYCfnx833ngj77//vlfDuR49epzy+tatW+ncuXOVc9mSk5OPG/fmm2/ywQcfkJmZSWlpKRUVFZXn0RUXF5ORkcHo0aO5++67K+c4HI5aaWgh4hXWIPfZcTU9c8565n8OiEjDsvNgEdPmpzN7UxYAFrOJG3rGMvbSdsSEn/n5wiIiIiJSVbXDuWPhhWEYhIaGVmn+YLPZ6N27d5XAo6ZcLhfl5eX06NEDq9XKwoULue666wB3UJSZmVkZyiQnJ/O3v/2N3Nzcym228+fPJywsjI4dO1aO+e6776q8xvz58yvvYbPZ6NGjBwsXLqw8G83lcrFw4UIefPDBM34/NVVRcWZb2crLy70Szr3//vs4HI4qDSAMw8Df37+ygcapmM3m487MO9FW3Zqsuvyjzz//nIkTJzJt2jSSk5MJDQ1lypQplSsQi4qKAHjvvffo1atXlbkWi+WMX1+kVphMENsH0md5Pje2j5pBiEi17c8vZcaC7Xy1bh9Ol4HJBFd1ac74QYm0bqLt8SIiIiK1pdrh3IcffghA69atmThxolfClCeeeILLLruMuLg4jh49ymeffcaSJUuYO3cu4eHhjB49mgkTJhAREUFYWBgPPfQQycnJleepDRkyhI4dO3LbbbcxefJksrOz+fOf/8yYMWMqV7Xdd999vPHGGzz66KPceeedLFq0iC+//JLZs2dX1jFhwgRGjhxJz549ufDCC3nttdcoLi7mjjvuOOP3WFPV6VZ6Kt5Y1edwOPj444+ZNm0aQ4YMqXJt+PDh/POf/6R9+/anvEfTpk2rdMoF2LBhA1arZ2fUdOjQgU8++YSysrLK1XM//fRTlTHLly+nT58+PPDAA5XPZWRkVP5zVFQUzZs3Z+fOnYwYMcKj1xfxqZjukDEPnHagOg1iTGCxuueJiJzGoaJy3lqcwac/7aHC6QJgUIdmPDIkiQ4xJ+8qJiIiIiLe4fGZc88884zXXjw3N5fbb7+drKwswsPD6dy5M3PnzmXw4MEAvPrqq5jNZq677jrKy8tJSUmp0lnTYrEwa9Ys7r//fpKTkysP9X/uuecqx8THxzN79mzGjx/P9OnTadmyJf/4xz8qO4IC3HjjjRw8eJCnn36a7Oxsunbtypw5c45rEnE2BQUF0bhx4xptbW3cuHGVlY01NWvWLI4cOcLo0aOP2/Z53XXX8f777zNlypRT3uOSSy5hypQpfPzxxyQnJ/Ppp5+yefNmunXr5lEtt9xyC08++SR33303TzzxBLt372bq1KlVxiQkJPDxxx8zd+5c4uPj+eSTT1i9ejXx8fGVY/7yl78wduxYwsPDGTp0KOXl5axZs4YjR45UOUNQpE6xBkLnEbA+FTBx6oDut5VynUe454mInERhmZ1/LNvJ+z/uorjC3dCrV3wEjw5NokerCB9XJyIiItJweBzOAXz11Vd8+eWXZGZmHrf9ct26ddW+z/vvv3/K6wEBAbz55pu8+eabJx3TqlWr47at/tGAAQNYv379Kcc8+OCDPt3G+kcmk4levXoxZ84cj+d6qxnE+++/z6BBg054Htt1113H5MmT2bRp0ynvkZKSwlNPPcWjjz5KWVkZd955J7fffju//PKLR7WEhITw7bffct9999GtWzc6duzIyy+/XLnlGeDee+9l/fr13HjjjZhMJm6++WYeeOABvv/++8oxd911F0FBQUyZMoVJkyYRHBxMp06dGDdunEf1iJx1kYnQbRRsmnnqDq4WqzuYi0w8a6WJSP1SWuHk45W7eXtpBvkl7qMmOrcMZ1JKEhe1a+LVbuwiIiIicnom448Hgp3GjBkzePLJJxk1ahTvvvsud9xxBxkZGaxevZoxY8bwt7/9rbZqrdMKCwsJDw+noKCAsLCqW0DKysrYtWsX8fHxVRoanE5paSmvvPLKCc9oOxGTyYSfnx8TJkzwyso5qX01/d6QBsxeClnrYO+Kqk0iAiPcZ8w17wF++l4SkeNVOFx8sWYvry/cTu7RcgDaNQth4pBEUs6LVignIiIi4mWnyop+z+OVc2+99RbvvvsuN998M6mpqTz66KO0adOGp59+mry8GnQTlJMKDAzkxhtvZObMmcc1VTiZG2+8UcGcyLnMGghxfd1BnL3EvYrOYnN3ZdVfrEXkBJwug/9u3M+r87eTmVcCQItGgYwfnMg13VpgMevPDhERERFf8jicy8zMpE+fPoA7PDp69CgAt912G717965WB0+pvnbt2jFixAi++OKLU66gs1qt3HjjjbRr1+4sViciPmMygS0YUAdFETkxwzCYvyWHafPSSctxf15rEuLPQ5e046YLY/H3U6dyERERkbrA43AuOjqavLw8WrVqRVxcHD/99BNdunRh165d1V7dJZ5p164dEyZMYOPGjaxatapKk4jGjRvTq1cvunbtqm2RIiIiAsCKHYeYPDeNDXvzAQgL8OPe/m25o29rgmw1OnJYRERERGqJx5/OLrnkEv773//SrVs37rjjDsaPH89XX33FmjVruPbaa2ujRsG9SrF379706tWL0tJSysvL8ff3JzAwUGfEiIiICAAb9uYzZe42lu84DECg1cIdfVtz78VtCQ+y+rg6ERERETkRj8O5d999F5fLBcCYMWOIjIxkxYoVXHXVVdx7771eL/Bc4o2VhSaTiaCgIIKCgrxQkfiaVpuKiIg3pGUfZdq8NOZtyQHAajFxy4VxjLmkHc1CtbJeREREpC7zOJwzm82YzebKxzfddBM33XSTV4s611it7t9Ul5SUqFmDVFFS4j6Y+9j3iIiIiCcyD5fw2oJ0vt6wH8MAswmu6daScYMSiI3QL/JERERE6oMaHTqSn5/Pzz//TG5ubuUqumNuv/12rxR2LrFYLDRq1Ijc3FwAgoKCtBW1gTMMg5KSEnJzc2nUqBEWiw7lFhGR6sstLGPGou18/vNeHC73KuzLzo9mwuBEEqJCfVydiIiIiHjC43Du22+/ZcSIERQVFREWFlYlZDKZTArnTiI6OhqgMqATAWjUqFHl94aIiMjp5JdU8PbSDD5asZsyu/sXpP0SmjApJYnOLRv5tjgRERERqRGT4eGhV4mJiVx++eW88MILOvfsdwoLCwkPD6egoICwsLCTjnM6ndjt9rNYmdRVVqtVK+akfjIMsJeAswIsNrAGgVYDi9Sq4nIHH/y4i3eX7eRouQOA7nGNmJTSnuS2kT6uTkREREROpLpZkccr5/bv38/YsWMVzNWQxWJRICMi9ZO9FLLWwd4VUJr3v+cDIyC2D8R0B6vO1RTxpjK7k89WZfLm4h0cLq4AoH10KBOHJHFph2Y6JkNERETkHOBxOJeSksKaNWto06ZNbdQjIiJ10eF02DTTvVruj0rzIH0WZMyDziMgMvHs1ydyjnE4Xfx73X5eW5DOgYIyAFpFBjFhcCJXdm6O2axQTkRERORc4XE4N2zYMCZNmsSWLVvo1KnTcV0mr7rqKq8VJyIidcDhdFifevpxTrt7XLdRCuhEasjlMvh+czbT5qex82AxAFFh/jx8aSJ/6tkSq8Xs4wpFRERExNs8PnPObD75h0KTyYTT6Tzjouqj6u4jFhGpV+yl8ONL7uCN6vy4MIHFChc9ri2uIh4wDIMl6QeZOjeNXw8UAtA4yMoDA9pxW3IrAqw6EkNERESkvqm1M+dcLtcZFSYiIvVI1roTb2U9KcM9PmsdxPWttbJEziWrd+cxZU4aP+92n+UYbLNwV7823NUvntAA62lmi4iIiEh953E4JyIiDYRhuJs/1MTeFe4mETqsXuSkNu8vYNq8NBanHQTA5mfm9t6teGBgOyKCbT6uTkRERETOlhqFc0uXLmXq1Kls3boVgI4dOzJp0iT69evn1eJERMSH7CVVu7J6ojTPPd8W7N2aRM4BOw8W8cr8dGZtygLAYjZxQ8+WjL00gZhwbQcXERERaWg8Duc+/fRT7rjjDq699lrGjh0LwPLly7n00ktJTU3llltu8XqRIiLiAx5tZz3ZfIVzIsccyC9lxsLt/GvtPpwu9xmOV3VpzvjBicQ30X8rIiIiIg2Vxw0hOnTowD333MP48eOrPP/KK6/w3nvvVa6ma2jUEEJEzjkVxbDs+ZrPv/jPWjknAhwuKufNxRl8+tMeKpzus3svbd+MR4Yk0bG5PjOIiIiInKtqrSHEzp07ufLKK497/qqrruL//b//5+ntRESkrrIGQWBEzba2Bka454s0YIVldv6xbCfv/7iL4gp3N/sL4yN4NCWJnq0jfFydiIiIiNQVHodzsbGxLFy4kHbt2lV5fsGCBcTGxnqtMBER8TGTyd3UIX2W53PVDEIasDK7k49W7ObtpRnkl9gB6NQinEkpSfRLaIJJ/22IiIiIyO94HM498sgjjB07lg0bNtCnTx/AfeZcamoq06dP93qBIiLiQzHdIWMeOO1AdU5BMIHF6p4n0sDYnS6+WL2X1xdtJ6ewHIC2TYOZOCSJoedHK5QTERERkRPyOJy7//77iY6OZtq0aXz55ZeA+xy6L774gquvvtrrBYqIiA9ZA6HzCFifCpg4dUD3W/DQeYR7nkgD4XQZfLvxAK/MTyczrwSAFo0CGTcogWu6tcDPYvZxhSIiIiJSl3ncEEJOTA0hROScdjgdNs08dQdXi80dzEUmnr26RHzIMAzmb8lh2rx00nKOAtAkxMaDA9txc684/P0sPq5QRERERHyp1hpCAOTn5/PVV1+xc+dOJk6cSEREBOvWrSMqKooWLVrUuGgREamjIhPhoschax3sXVG1SURghPuMueY9wC/AdzWKnEUrdhxi8tw0NuzNByA0wI/7+rfljr6tCbLV6OOViIiIiDRQHn963LRpE4MGDSI8PJzdu3dz1113ERERwb///W8yMzP5+OOPa6NOERHxNWsgxPV1B3H2EvcqOovN3ZVVZ2lJA7Fhbz5T56bx445DAARaLdzRtzX3XtyW8CCrj6sTERERkfrI43BuwoQJjBo1ismTJxMaGlr5/OWXX84tt9zi1eJERKQOMpnAFgwE+7oSkbMmPeco0+alMffXHACsFhO3XBjHmEva0SxUK0ZFREREpOY8DudWr17N3//+9+Oeb9GiBdnZ2V4pSkRERKQu2JtXwqvz0/l6w34MA8wmuKZbS8YNSiA2IsjX5YmIiIjIOcDjcM7f35/CwsLjnk9PT6dp06ZeKUpERETEl3ILy3h90Q4+X52J3enunTX0vGgeGZJIQlToaWaLiIiIiFSfx+HcVVddxXPPPceXX34JgMlkIjMzk8cee4zrrrvO6wWKiIiInC35JRW8s3QnqSt2UWZ3AdAvoQkThyTRJbaRb4sTERERkXOSyTAMw5MJBQUFXH/99axZs4ajR4/SvHlzsrOzSU5O5rvvviM4uGGeQVTd9rgiIiJS9xSXO/hw+S7+vmwnR8scAHSLa8SklCT6tG3i4+pEREREpD6qblbk8cq58PBw5s+fz48//simTZsoKiqie/fuDBo06IwKFhERETnbyh1OPluVyZuLd3CoqAKA9tGhTBySxKUdmmFSJ2IRERERqWUer5yTE9PKORERkfrD4XTx7/X7mb5gO/vzSwFoFRnEhMGJXNm5OWazQjkREREROTO1tnIOYOHChSxcuJDc3FxcLleVax988EFNbikiIiJS61wugzm/ZjNtXhoZB4sBiArz5+FLE/lTz5ZYLWYfVygiIiIiDY3H4dxf/vIXnnvuOXr27ElMTIy2e4iIiEidZxgGy7YfYsrcbWze7+463zjIygMD2nFbcisCrBYfVygiIiIiDZXH4dw777xDamoqt912W23UIyIiIuJVa3bnMXluGj/vygMg2Gbhrn5tuKtfPKEBVh9XJyIiIiINncfhXEVFBX369KmNWkRERES85tcDBUybl86ibbkA2PzM3N67FfcPaEtkiL+PqxMRERERcfM4nLvrrrv47LPPeOqpp2qjHhEREZEzsutQMa/MT+fbjQcAsJhN3NCzJWMvTSAmPNDH1YmIiIiIVOVxOFdWVsa7777LggUL6Ny5M1Zr1e0gr7zyiteKExEREamuA/mlvL5oO1+u2YfT5W5Gf1WX5owfnEh8k2AfVyciIiIicmIeh3ObNm2ia9euAGzevLnKNTWHEBERkbPtcFE5by3J4JOf9lDhcHeRv6R9MyYOSaJj85O3rBcRERERqQs8DucWL15cG3WIiIiIeORomZ33ftjF+z/spLjCCcCF8RE8mpJEz9YRPq5ORERERKR6PA7nRERERHypzO7k45W7eWtJBvkldgA6tQhnUkoS/RKaaCW/iIiIiNQrCudERESkXrA7XXy5Zi8zFm4np7AcgLZNg5k4JImh50crlBMRERGReknhnIiIiNRpLpfBt5sO8Mr8dPYcLgGgRaNAxg1K4JpuLfCzmH1coYiIiIhIzSmcExERkTrJMAwWbM1l2rw0tmUfBaBJiI0xA9txS684/P0sPq5QREREROTMKZwTERGROmdFxiGmzE1jfWY+AKEBftzXvy2j+rQm2F8fX0RERETk3KFPtyIiIlJnbNybz9R5afyw/RAAAVYzd/SN576L2xIeZPVxdSIiIiIi3qdwTkRERHxue85Rps1LZ86v2QBYLSZuvjCOBwe2o1lYgI+rExERERGpPQrnRERExGf25pXw6oJ0vlm/H5cBZhNc060l4wYlEBsR5OvyRERERERqncI5EREROetyj5bxxqId/PPnTOxOA4Ch50XzyJBEEqJCfVydiIiIiMjZo3BOREREzpqCEjvvLMvgw+W7KLO7AOiX0ISJQ5LoEtvIt8WJiIiIiPiAwjkRERGpdcXlDlJX7OadpRkcLXMA0C2uEZNSkujTtomPqxMRERER8R2FcyIiIlJryh1O/rkqkzcW7+BQUQUA7aNDmTgkiUs7NMNkMvm4QhERERER31I4JyIiIl7ncLr4ev1+Xluwnf35pQC0igxiwuBEruzcHLNZoZyIiIiICCicExERES8yDIPvN2czbV4aGQeLAYgK82fspQnc0DMWq8Xs4wpFREREROoWhXMiIiJyxgzDYNn2Q0ydm8Yv+wsAaBRk5YEBbbk9uTUBVouPKxQRERERqZsUzomIiMgZWbsnj8lz0li1Kw+AYJuF0f3acFe/eMICrD6uTkRERESkblM4JyIiIjWy5UAhU+elsWhbLgA2PzO3927F/QPaEhni7+PqRERERETqB4VzIiIi4pFdh4p5ZX463248AIDFbOKGni156JIEmjcK9HF1IiIiIiL1i8I5EWl4DAPsJeCsAIsNrEFgUudIkdPJKihlxsLtfLlmH06XAcCVXZozflACbZqG+Lg6EREREZH6SeGciDQc9lLIWgd7V0Bp3v+eD4yA2D4Q0x2sWvUj8keHi8p5e0kGH/+0hwqHC4BL2jfjkSGJnNc83MfViYiIiIjUbwrnRKRhOJwOm2a6V8v9UWkepM+CjHnQeQREJp79+kTqoKNldv7xwy7+8cNOiiucAFwYH8GjKUn0bB3h4+pERERERM4NCudE5Nx3OB3Wp55+nNPuHtdtlAI6adDK7E4+WbmHt5bs4EiJHYDzW4QxKaU9Fyc0waRt4CIiIiIiXqNwTkTObfZS94o5AIzTDDYAk3v8RY9ri6s0OHani3+t2ceMhdvJLiwDoE3TYCYOSWLoedGYzQrlRERERES8TeGciJzbstadeCvrSRnu8VnrIK5vrZUlUpe4XAbfbjrAK/PT2XO4BIAWjQJ5eFAC13ZrgZ/F7OMKRURERETOXQrnROTcZRju5g81sXeFu0mEtu/JOcwwDBZuzWXqvDS2ZR8FoEmIjTED23FLrzj8/Sw+rlBERERE5NyncE5Ezl32kqpdWT1Rmueebwv2bk0idcTKjMNMmbuNdZn5AIQG+HFf/7aM6tOaYH99PBAREREROVv06VtEzl0ebWc92XyFc3Ju2bQvnylz0/hh+yEAAqxm7ugbz70Xt6FRkM3H1YmIiIiINDwK50Tk3GU5w6DhTOeL1CHbc44ybV46c37NBsBqMXHzhXE8OLAdzcICfFydiIiIiEjDpXBORM5d1iAIjKjZ1tbACPd8kXpub14Jry3Yztfr9+Ey3McoXtOtBeMHJRIboe9xERERERFfUzgnIucuk8nd1CF9ludz1QxC6rnco2W8uWgHn/2cid1pAJByXhSPDEkiMSrUx9WJiIiIiMgxCudE5NwW0x0y5oHTDhjVmGACi9U9T6QeKiix8/dlGXy4fDeldicA/RKaMHFIEl1iG/m2OBEREREROY7CORE5t1kDofMIWJ8KmDh1QPfbSrnOI9zzROqRkgoHHy7fzd+XZlBY5gCga2wjHk1Jok+7Jj6uTkRERERETkbhnIic+yITodso2DTz1B1cLVZ3MBeZeNZKEzlT5Q4n/1yVyRuLMzhUVA5AUlQoE1OSGNShGSZtzxYRERERqdMUzolIwxCZCBc9DlnrYO+Kqk0iAiPcZ8w17wF+6lop9YPTZfDvdft4bcF29ueXAhAXEcSEwYlc2aU5FrNCORERERGR+kDhnIg0HNZAiOvrDuLsJe5VdBabuyurVhdJPWEYBnM2ZzNtfjo7cosAaBbqz9hLE7jxglisFrOPKxQREREREU8onBORhsdkAlswEOzrSkSqzTAMfth+iClz0/hlfwEAjYKsPDCgLbcntybAavFxhSIiIiIiUhMK50REROq4tXvymDwnjVW73Nuxg20WRvdrw1394gkLsPq4OhERERERORMK50Tk7DCM+rmVtL7WLeeErVmFTJ2bxsJtuQDY/Mzc1rsVDwxoS2SIv4+rExERERERb1A4JyK1y1566iYMMd3dZ8HVNfW1bjkn7DpUzKvz0/l20wEMAyxmE3/q0ZKxlybQvJG+70REREREziUmwzAMXxdxLigsLCQ8PJyCggLCwsJ8XY5I3XA4HTbNdK86OxmLDTqPcHdTrSvqa91S72UVlDJj4Q6+XLMXp8v94/mKzjFMGJxIm6YhPq5OREREREQ8Ud2sSCvnRKR2HE6H9amnH+e0u8d1G1U3gq76WrfUa3nFFby9ZAcfrdxDhcMFwMCkpkxMSeK85uE+rk5ERERERGqT2Zcv/uKLL3LBBRcQGhpKs2bNGD58OGlpaVXGlJWVMWbMGCIjIwkJCeG6664jJyenypjMzEyGDRtGUFAQzZo1Y9KkSTgcjipjlixZQvfu3fH396ddu3akpqYeV8+bb75J69atCQgIoFevXvz8889ef88iDYK91L3yDIDTLc797fqmme55vlRf65Z662iZndcWpHPx5MW898MuKhwuLmwdwb/uS+bDOy5UMCciIiIi0gD4NJxbunQpY8aM4aeffmL+/PnY7XaGDBlCcXFx5Zjx48fz7bff8q9//YulS5dy4MABrr322srrTqeTYcOGUVFRwYoVK/joo49ITU3l6aefrhyza9cuhg0bxsCBA9mwYQPjxo3jrrvuYu7cuZVjvvjiCyZMmMAzzzzDunXr6NKlCykpKeTm5p6dL4bIuSRr3W9bQqu7a95wj89aV5tVnV59rVvqnTK7k3/8sJOLJy/mtQXbKSp3cF7zMFLvuIAv7u3NBa0jfF2iiIiIiIicJXXqzLmDBw/SrFkzli5dysUXX0xBQQFNmzbls88+4/rrrwdg27ZtdOjQgZUrV9K7d2++//57rrjiCg4cOEBUVBQA77zzDo899hgHDx7EZrPx2GOPMXv2bDZv3lz5WjfddBP5+fnMmTMHgF69enHBBRfwxhtvAOByuYiNjeWhhx7i8ccfP23tOnNO5DeGASumVm2iUF2BEdBnom+6odbXuqVesTtd/GvNPmYs3E52YRkAbZoG88jgJC47PxqzWd9DIiIiIiLniupmRT5dOfdHBQUFAEREuFcMrF27FrvdzqBBgyrHtG/fnri4OFauXAnAypUr6dSpU2UwB5CSkkJhYSG//vpr5Zjf3+PYmGP3qKioYO3atVXGmM1mBg0aVDnmj8rLyyksLKzyPxEB7CU1C7jAPc9e4t16qqu+1i31gstl8J8N+xn8ylL+39e/kF1YRvPwACZf15l54y5mWOcYBXMiIiIiIg1UnWkI4XK5GDduHH379uX8888HIDs7G5vNRqNGjaqMjYqKIjs7u3LM74O5Y9ePXTvVmMLCQkpLSzly5AhOp/OEY7Zt23bCel988UX+8pe/1OzNipzLTtXhtNrzg71Siueve6bzfVC31GmGYbBoWy5T5qaxLfsoAJHBNsYMbMeI3nH4+1l8XKGIiIiIiPhanQnnxowZw+bNm/nxxx99XUq1PPHEE0yYMKHycWFhIbGxsT6sSKSOsNh8O99Xr+uruqXO+mnnYabMTWPtniMAhPr7cW//NtzRN55g/zrz41dERERERHysTvzt4MEHH2TWrFksW7aMli1bVj4fHR1NRUUF+fn5VVbP5eTkEB0dXTnmj11Vj3Vz/f2YP3Z4zcnJISwsjMDAQCwWCxaL5YRjjt3jj/z9/fH396/ZGxY5l1mD3Gew1fTsNmuQ92uqjvpat9Q5v+wrYPLcbfyw/RAAAVYzo/rEc1//NjQKUogrIiIiIiJV+fTMOcMwePDBB/n6669ZtGgR8fHxVa736NEDq9XKwoULK59LS0sjMzOT5ORkAJKTk/nll1+qdFWdP38+YWFhdOzYsXLM7+9xbMyxe9hsNnr06FFljMvlYuHChZVjRKSaTCaI7VOzubF9fNdUob7WLXXGjtyj3P/pWq5840d+2H4IP7OJ23q3YtmkgTx+WXsFcyIiIiIickI+XTk3ZswYPvvsM/7zn/8QGhpaeUZceHg4gYGBhIeHM3r0aCZMmEBERARhYWE89NBDJCcn07t3bwCGDBlCx44due2225g8eTLZ2dn8+c9/ZsyYMZUr2+677z7eeOMNHn30Ue68804WLVrEl19+yezZsytrmTBhAiNHjqRnz55ceOGFvPbaaxQXF3PHHXec/S+MSH0X0x0y5oHTDlSnIbQJLFb3PF+qr3WLT+07UsJrC7bz73X7cBnunPaari0YNyiRuEitqBQRERERkVMzGYZRnb+B1s6Ln2SlyYcffsioUaMAKCsr45FHHuGf//wn5eXlpKSk8NZbb1XZbrpnzx7uv/9+lixZQnBwMCNHjuSll17Cz+9/2eOSJUsYP348W7ZsoWXLljz11FOVr3HMG2+8wZQpU8jOzqZr167MmDGDXr16Veu9VLc9rkiDcTgd1qf+9uBUf8z89udAt1EQmVi7NVVHfa1bzrqDR8t5c/EOZq7ag93p/l4Z0jGKiSlJJEaF+rg6ERERERHxtepmRT4N584lCudETuBwOmyaeepOqBYbdB5RtwKu+lq3nBUFpXbeXZbBBz/uptTuBOCidk2YmJJE19hGvi1ORERERETqDIVzZ5nCOZGTsJdC1jrYu6Jqs4XACPdZbc17gF+A7+o7mfpat9SakgoHqSt2886SDArLHAB0iW3EYylJ9GnXxMfViYiIiIhIXaNw7ixTOCdyGoYB9hL3ajSLzd3dtD40UaivdXvIMAwqHAYOp4GfxYTNz3TSowcamgqHi3/+nMnri3ZwqKgcgMSoECYOSWJwxyh9nURERERE5ISqmxX5tCGEiDQgJhPYgoFgX1fimfpadzVVOFxkHixjZ3YJxeXOyueD/S20iQ4irmkANj+fNvb2GafL4Ov1+3ltQTr7jpQCEBsRyITBiVzVpQUWs0I5ERERERE5cwrnREQaqJz8clalF+B0Hb+AurjcyS97jrJlbxG9EsOJauTvgwp9wzAM5v6azdR56ezILQKgWag/D12awI09YxtsWCkiIiIiIrVD4ZyISAOUk1/Oym35p+xHC+7VYyu35ZPcvtE5H9AZhsGPOw4xZW4am/YVABAeaOX+AW0ZmdyaQJvFxxWKiIiIiMi5SOGciEgDU+FwsSq94LTB3DEGsCq9gKHdm5yzq8bW7jnC1LlprNx5GIAgm4W7LornrovbEBZg9XF1IiIiIiJyLlM4JyLSwGQeLDvhVtZTcboM9h4so21MUC1V5RvbsguZOjeNBVtzAbBZzNzauxUPDGxLk5Bze6WgiIiIiIjUDQrnREQaEMMw2JldUqO5GdkltIkOPCe6k+4+VMyrC9L578YDGAaYTfCnHrGMHZRAi0aBvi5PREREREQaEIVzIiINSIXDqNKV1RPF5U4qHAb+1vobzmUXlDFj0Xa+XL0Xx2+rB4d1jmHC4ETaNg3xcXUiIiIiItIQKZwTEWlAHE7PtrOeaL5/PTyCLa+4greX7ODjlXsod7gAGJDUlIlDkji/RbiPqxMRERERkYZM4ZyISAPiZzmzVW9nOv9sKyp38I8fdvKPH3ZRVO4A4ILWjZmU0p4L4yN8XJ2IiIiIiIjCORGRBsXmZyLY31Kjra3B/hZsfvUjnCuzO/n0pz28tSSDvOIKADrGhDFpaBIDEpueE+fmiYiIiIjIuUHhnIhIA2IymWgTHcQve456PLdtdFCdD7XsThdfrd3HjIXbySooA6BNk2AmDEnk8vNjMJvrdv0iIiIiItLwKJwTkZozDLCXgLMCLDawBkEdD28E4poGsGVvEU5X9c+fs5hNxDYNqMWqzozLZTDrlyxenZ/OrkPFADQPD+DhQQlc170lfhazjysUERERERE5MYVzIuI5eylkrYO9K6A073/PB0ZAbB+I6Q7WQN/VJ6dk8zPTKzGcldvyqU48ZwJ6JYZj86t7AZdhGCxOy2XK3HS2ZhUCEBlsY8zAdtzSK44Aq8XHFYqIiIiIiJyawjkR8czhdNg0071a7o9K8yB9FmTMg84jIDLx7Ncn1RLVyJ/k9o1YlV5wyhV0FrOJXonhRDXyP4vVVc9POw8zZW4aa/ccASDU3497Lm7DHRfFE+KvH28iIiIiIlI/6G8vIlJ9h9Nhferpxznt7nHdRimgq8OiGvkztHsT9h4sIyO7pEqTiGB/C22jg4hrGoC1jq2Y+2VfAVPmpbEs/SAA/n5mRvVtzf3929IoyObj6kRERERERDyjcE5Eqsde6l4xB3DazZAGYHKPv+hxbXGtw2x+ZtrGBNEmOpAKh4HDaeBnMWHzM9W55g87co/yyvx0vvslGwA/s4mbLozloUsSiAqru+fhiYiIiIiInIrCORGpnqx1J97KelKGe3zWOojrW2tliXeYTCb8rSb8rb6u5Hj7jpQwfcF2/m/dPlyGu+fI8K4tGD8okbjIIF+XJyIiIiIickYUzonI6RmGu/lDTexd4W4SUcdWYUndd/BoOW8u3sFnqzKpcLoAGNIxikeGJJEUHerj6kRERERERLxD4ZyInJ69pGpXVk+U5kHJITD7gcUG1iAFdXJKBaV23l2WwQc/7qbU7j4Hr2+7SCYOSaJbXGMfVyciIiIiIuJdCudE5PQ82s56Aitf+d8/B0a4V9LFdNdZdFJFSYWD1BW7eWdJBoVlDgC6xDbi0ZQk+rZr4uPqREREREREaofCORE5PYsXO2CW5kH6LMiYB51HqJurUOFw8fnqTF5ftIODR8sBSIwKYeKQJAZ3jKpzjSlERERERES8SeGciJyeNci94q2mW1tPxGmH9anQbZQCugbK6TL4Zv1+Xl2Qzr4jpQDERgQyYXAiV3VpgcWsUE5ERERERM59CudE5PRMJvdW1PRZXrypAZhg00y46HFtcW1ADMNg7q85TJuXxvbcIgCahfrz0KUJ3NgzFpuf2ccVioiIiIiInD0K50SkemK6u7eiOu24gzVvMNzn2WWtg7i+Xrqn1FWGYfDjjkNMmZvGpn0FAIQHWrl/QFtGJrcm0GbxcYUiIiIiIiJnn8I5Eakea6D7jLj1qYAJ7wV0wN4V7pV5OlvsnLUu8wiT52zjp53urdFBNgujL4rn7ovbEBZg9XF1IiIiIiIivqNwTkSqLzLRfUbcppln3sH190rzwF4CtmDv3VPqhG3ZhUydm86CrTkA2Cxmbu3digcGtqVJiL+PqxMREREREfE9hXMi4pnIRPcZcVnr3CvevNUkwlkBKJw7V+w5XMwr89P578YDGAaYTfCnHrGMHZRAi0Y6X1BEREREROQYhXMi4jlroPuMuNg+7hVvzgpwOWDlKzW/p8XmvfrEZ7ILypixaDtfrt6Lw+Xe+jyscwwTBifStmmIj6sTERERERGpexTOiUjNmUy/bUUNBsOAwIiaraQLjABrkNfLk7Mnr7iCd5Zm8NGK3ZQ7XAAMSGrKxCFJnN8i3MfViYiIiIiI1F0K50TEO0wm90q69Fmez1UziHqrqNzB+z/s4r0fdlJU7gDggtaNmZTSngvjI3xcnYiIiIiISN2ncE5EvCemO2TMA6ed6nVzNYHF6p4n9UqZ3cmnP+3hrSUZ5BW7m4N0jAlj0tAkBiQ2xaSwVUREREREpFoUzomI91gDofMIWJ8KmDh1QPdbeNN5hHue1AsOp4t/rd3HjIXbySooA6BNk2AmDEnk8vNjMJsVyomIiIiIiHhC4ZyIeFdkInQbBZtm/taB9SQsVncwF5l41kqTmnO5DGb9ksWr89PZdagYgJjwAMYNSuC67i3xs5h9XKGIiIiIiEj9pHBORLwvMhEuehyy1sHeFVWbRARGuM+Ya94D/AJ8V6NUi2EYLE7LZcrcdLZmFQIQGWxjzMB23NIrjgCrxccVioiIiIiI1G8K50SkdlgDIa6vO4izl7hX0Vls7q6sOo+sXli18zBT5qaxZs8RAEL9/bjn4jbccVE8If768SEiIiIiIuIN+tuViNQukwlswUCwryuRatq8v4DJc9NYln4QAH8/M6P6tua+i9vSONjm4+pERERERETOLQrnREQEgB25RbwyP43vfskGwM9s4qYLY3nokgSiwrQFWUREREREpDYonBMRaeD2HSlh+oLt/N+6fbgM92LH4V1bMG5QAq0iteJRRERERESkNimcE5GTMwydF3cOO3i0nDcX7+CzVZlUOF0ADO4YxcQhSSRFh/q4OhERERERkYZB4ZyIHM9eeupOqzHd3Q0fpF4qKLXz3rKdfLB8FyUVTgD6tI1kUkoS3eIa+7g6ERERERGRhkXhnIhUdTgdNs10r5b7o9I8SJ8FGfOg8wiITDz79UmNlVY4+XDFLt5ZkkFhmQOALrGNeDQlib7tmvi4OhERERERkYZJ4ZyI/M/hdFifevpxTrt7XLdRCujqgQqHi89XZ/L6oh0cPFoOQGJUCI8MSWJIxyhM2qosIiIiIiLiMwrnRMTNXupeMQeAcZrBBmByj7/ocW1xraOcLoNv1u/n1QXp7DtSCkBsRCDjByVyddcWWMwK5URERERERHxN4ZyIuGWtO/FW1pMy3OOz1kFc31orSzxnGAZzf81h2rw0tucWAdA01J+xlyZwY89YbH5mH1coIiIiIiIixyicExF3V9a9K2o2d+8Kd5MIbY2sE37cfogpc7excV8BAOGBVu4f0JaRya0JtFl8XJ2IiIiIiIj8kcI5EQF7SdWurJ4ozXPPtwV7tybxyLrMI0ydm8aKjMMABNksjL4onrv6tSE80Orj6kRERERERORkFM6JiIfbWU82X+GcL2zLLmTq3HQWbM0BwGYxM6J3HA8MaEfTUH8fVyciIiIiIiKno3BORMBi8+188diew8W8Oj+d/2w8gGGA2QTX92jJw4MSadFIDTpERERERETqC4VzIgLWIAiMqNnW1sAI93w5K3IKy5ixcDtfrN6Lw+XuqjusUwzjByfSrlmIj6sTERERERERTymcExF3M4fYPpA+y/O5agZxVhwpruCdpRmkrthNucMFwICkpkwcksT5LcJ9XJ2IiIiIiIjUlMI5EXGL6Y6xYx64Kqhe1GYCixViutdyYQ1bUbmDD37cxXvLdnK03AFAz1aNeXRoey6Mj/BxdSIiIiIiInKmFM6JCAA5xWZ2BgyjV8k3gHGagO63q51HgFXnm9WGMruTmasyeWvxDg4Xuxt2dIwJY1JKEgOSmmLSakUREREREZFzgsI5ESEnv5yV2/IxzK1YGXA1vcpmY8EOUCWkM479v9kPc5dbITLxrNd6rnM4XXy1dh/TF24nq6AMgPgmwUwYnMiwTjGYzQrlREREREREziUK50QauAqHi1XpBZXBW65fa+YEjybWvpW29g2EGAWVY4tN4WRYu7Lf/zwGhbdAPVq9x+UymP1LFq/OT2fnoWIAYsIDGDcogeu6t8TPYvZxhSIiIiIiIlIbFM6JNHCZB8twuowqz9lNAey0dWOntSs2yvAzKnCYbFQQ4G7+YMDeg2W0jVGX1jNlGAZL0g4yZW4aW7IKAYgItjFmYDtG9IojwGrxcYUiIiIiIiJSmxTOiTRghmGwM7vk5ANMJioIpMJ0/LlyGdkltIkO1NlnZ+DnXXlMmbuN1buPABDq78fdF7fhzoviCfHXH88iIiIiIiINgf72J9KAVTgMisudNZpbXO6kwmHgb1U456nN+wuYMjeNpekHAfD3MzOqT2vu69+WxsHaLCwiIiIiItKQKJwTacAcTuP0g04z39/qpWIagIyDRbwyL53Zv2QB4Gc2ceMFsYy9NIGosAAfVyciIiIiIiK+oHBOpAHzs5zZqrcznd9Q7M8vZfqCdL5auw+X4T62b3jXFowblECryGBflyciIiIiIiI+pHBOpAGz+ZkI9rfUaGtrsL8Fm5/CuVM5VFTOm4t3MPOnTCqcLgAGd4zikSGJtI8O83F1IiIiIiIiUhconBNpwEwmE22ig/hlz1GP57aNDlIziJMoKLXzjx928v6PuyipcAefyW0imTQ0ie5xjX1cnYiIiIiIiNQlCudEGri4pgFs2VuE01X98+csZhOxTXVG2h+VVjhJXbGbd5ZmUFBqB6BLy3AmpbTnooQmPq5ORERERERE6iKFcyINnM3PTK/EcFZuy6c68ZwJ6JUYjs3PXNul1RsVDhdfrM5kxqIdHDxaDkBCsxAmpiQxpGOUVhiKiIiIiIjISSmcExGiGvmT3L4Rq9ILTrmCzmI20SsxnKhG/mexurrL6TL4z4b9vLognb15pQC0bBzIhMGJXN21BRazQjkRERERERE5NYVzIgK4A7qh3Zuw92AZGdklVZpEBPtbaBsdRFzTAKxaMYdhGMzbksO0eWmk5xQB0DTUn7GXtOPGC+K0qlBERERERESqTeGciFSy+ZlpGxNEm+hAKhwGDqeBn8WEzc+krZm/Wb7jEJPnprFxbz4A4YFW7uvflpF9WhFk0x+pIiIiIiIi4hn9TVJEjmMymfC3mvC3+rqSumN95hGmzE1jRcZhAIJsFu7sG8/dF7chPFBfKBEREREREakZhXMiIqeQln2UqfPSmL8lBwCbxcwtveIYM7AdTUN19p6IiIiIiIicGYVzIiInkHm4hFcXpPPNhv0YBphNcF33ljw8KIGWjYN8XZ6IiIiIiIicIxTOiYj8Tk5hGa8v2s7nP+/F8Vvn2mGdYhg/OJF2zUJ8XJ2IiIiIiIicaxTOiYgAR4oreGdZBh+t2E2Z3QVA/8SmTBySRKeW4T6uTkRERERERM5VCudEpEErKnfw4Y+7eHfZTo6WOwDo2aoxk1KS6NUm0sfViYiIiIiIyLlO4ZyINEhldiczV2Xy1uIdHC6uAKBDTBiPpiQxIKkpJpPJxxWKiIiIiIhIQ6BwTho2w4CKYigvcD/2DwdbMCiYOWc5nC7+b90+pi/YzoGCMgDimwQzYXAiwzrFYDbr372IiIiIiIicPQrnpGGyl8K+VZD5A9hLql6zBkFcP2jZC6yBvqlPvM7lMvhucxavzEtn56FiAGLCA3j40gSu69ESq8Xs4wpFRERERESkIVI4Jw3P4XTY+Am4HCe+bi+BjLmwayF0uQ0iE737+obhfg1nBVhs7jBQK/VqjWEYLEk/yNS5afx6oBCAiGAbDwxoy629WxFgtfi4QhEREREREWnIFM5Jw3I4HdanAsbpx7ocsP5D6HaHdwI6eylkrYO9K6A073/PB0ZAbB+I6a6Vel728648pszdxurdRwAI8ffj7n5tGN0vnhB//fEnIiIiIiIivqe/nUrDYS+FjZ9SrWDu9zZ+Cv2eOLPg7HA6bJrpXi33R6V5kD4LMuZB5xHeX6nXAG3eX8DUeWksSTsIgL+fmZF9WnN//7Y0Drb5uDoRERERERGR/1E4Jw1H1jpw2T2f57K758b1rdnrVq7WOw2n3T2u2ygFdDWUcbCIV+anM3tTFgB+ZhM3XBDL2EsSiA4P8HF1IiIiIiIiIsfz6Qnoy5Yt48orr6R58+aYTCa++eabKtcNw+Dpp58mJiaGwMBABg0axPbt26uMycvLY8SIEYSFhdGoUSNGjx5NUVFRlTGbNm2iX79+BAQEEBsby+TJk4+r5V//+hft27cnICCATp068d1333n9/YoPGYZ7O2lNZS5338NT9lL3ijl3EacZ/Nv1TTPd86Ta9ueX8thXmxjy6jJmb8rCZILhXZuzYEJ/Xrimk4I5ERERERERqbN8Gs4VFxfTpUsX3nzzzRNenzx5MjNmzOCdd95h1apVBAcHk5KSQllZWeWYESNG8OuvvzJ//nxmzZrFsmXLuOeeeyqvFxYWMmTIEFq1asXatWuZMmUKzz77LO+++27lmBUrVnDzzTczevRo1q9fz/Dhwxk+fDibN2+uvTcvZ5e9pOo5b54qO3J8V9fqyFr321bW6gZ7hnt81jrPX6sBOlRUznPfbmHglCV8sWYvTpfBoA5RfDe2H6/d1I3WTYJ9XaKIiIiIiIjIKZkMoybLgbzPZDLx9ddfM3z4cMC9aq558+Y88sgjTJw4EYCCggKioqJITU3lpptuYuvWrXTs2JHVq1fTs2dPAObMmcPll1/Ovn37aN68OW+//TZPPvkk2dnZ2Gzus6Yef/xxvvnmG7Zt2wbAjTfeSHFxMbNmzaqsp3fv3nTt2pV33nmnWvUXFhYSHh5OQUEBYWFh3vqyiLeUHoHlx6+Y9EjfRyGwcfXHGwasmFqzUDAwAvpMVBfXkygss/Pesp28/+MuSiqcAPRuE8GklPb0aOXBvyMRERERERGRWlLdrMinK+dOZdeuXWRnZzNo0KDK58LDw+nVqxcrV64EYOXKlTRq1KgymAMYNGgQZrOZVatWVY65+OKLK4M5gJSUFNLS0jhy5EjlmN+/zrExx17nRMrLyyksLKzyP6nDLF5oAuDpPc5ktV5pXs1W6p3jSiucvLM0g34vL+b1RTsoqXDSuWU4n4y+kH/e3VvBnIiIiIiIiNQ7dbYhRHZ2NgBRUVFVno+Kiqq8lp2dTbNmzapc9/PzIyIiosqY+Pj44+5x7Frjxo3Jzs4+5eucyIsvvshf/vKXGrwz8QlrkHs1Wk3DsoDG7nt44kSdWT2er22ZABUOF1+s2cvrC7eTe7QcgIRmITwyJImU86IwaYWhiIiIiIiI1FN1Npyr65544gkmTJhQ+biwsJDY2FgfViSnZDJBbB9In3X6sScS19fzLaZnulrPG6v96jmny+C/G/fz6vztZOa5VxK2bBzI+EGJDO/WAotZoZyIiIiIiIjUb3U2nIuOjgYgJyeHmJiYyudzcnLo2rVr5Zjc3Nwq8xwOB3l5eZXzo6OjycnJqTLm2OPTjTl2/UT8/f3x9/evwTsTn4npDjvmgsvu2Tyz1T3XU2eyWi8wwvOVeucQwzCYvyWHafPSScs5CkCTEH/GXtqOGy+Ixd/P4uMKRURERERERLyjzp45Fx8fT3R0NAsXLqx8rrCwkFWrVpGcnAxAcnIy+fn5rF27tnLMokWLcLlc9OrVq3LMsmXLsNv/F8jMnz+fpKQkGjduXDnm969zbMyx15FzhDUQutwKeLjaqsut7rmeOrZaryZi+zTYZhArdhzimrdWcM8na0nLOUpYgB+PDk1i2aMDuD25tYI5EREREREROaf4dOVcUVERO3bsqHy8a9cuNmzYQEREBHFxcYwbN47nn3+ehIQE4uPjeeqpp2jevHllR9cOHTowdOhQ7r77bt555x3sdjsPPvggN910E82bNwfglltu4S9/+QujR4/mscceY/PmzUyfPp1XX3218nUffvhh+vfvz7Rp0xg2bBiff/45a9as4d133z2rXw85CyITodso2PgJuBynHmv2gy63uefUVEx3yJgHTjtQncbIJrDUcKVePbc+8whT56WxfMdhAAKtFu68qDX3XNyW8ECrj6sTERERERERqR0mwzCqkxjUiiVLljBw4MDjnh85ciSpqakYhsEzzzzDu+++S35+PhdddBFvvfUWiYn/C0vy8vJ48MEH+fbbbzGbzVx33XXMmDGDkJCQyjGbNm1izJgxrF69miZNmvDQQw/x2GOPVXnNf/3rX/z5z39m9+7dJCQkMHnyZC6//PJqv5fqtseVOsJeCvtWQeYPx3dFtQZBXD+I7Q1+AWf+WofTYX3qbw9O9Z/bbyvluo06s0CwnknLPsq0eWnM2+LeWm61mBjRqxUPDGxLs1AvfP1FREREREREfKC6WZFPw7lzicK5esow3OFcWT5gAv8wsAV7f0vp4XTYNPPUHVwtNug8osEEc5mHS3h1QTrfbNiPYYDZBNd2b8m4QQm0bNxwz9sTERERERGRc0N1s6I62xBC5KwwmdxhnC24dl8nMhEuehyy1sHeFVWbRARGuM+Ya97DOyv16rjcwjJmLNrO5z/vxeFy/27g8k7RTBicSLtmoT6uTkREREREROTsUjgncrZYAyGurzuIs5e4V9FZbO5ttA2g+UN+SQVvL83goxW7KbO7ALg4sSmThiTRqWW4j6sTERERERER8Q2FcyJn27HVetTyar06orjcwQc/7uLdZTs5Wu5uwtGjVWMmpSTRu02kj6sTERERERER8S2FcyJSK8rsTj5blcmbi3dwuNh91l776FAeHZrEwKRmmBrAakERERERERGR01E4JyJe5XC6+L91+5i+YDsHCsoAaB0ZxIQhSVzRKQazWaGciIiIiIiIyDEK50TEK1wug+82Z/HKvHR2HioGIDosgIcHJXB9j5ZYLWYfVygiIiIiIiJS9yicE5EzYhgGS9IPMnVuGr8eKASgcZCVMQPbcWvvVgRYLT6uUERERERERKTuUjgnIjW2enceU+ak8fPuPABC/P24q188oy+KJzTA6uPqREREREREROo+hXMi4rHN+wuYOi+NJWkHAbD5mRmZ3Ir7B7QjItjm4+pERERERERE6g+FcyJSbTsPFjFtfjqzN2UBYDGbuKFnLGMvbUdMeKCPqxMRERERERGpfxTOichp7c8vZcaC7Xy1bh9Ol4HJBFd1ac74QYm0bhLs6/JERERERERE6i2FcyJyUoeKynlrcQaf/rSHCqcLgEvbN2NiShIdYsJ8XJ2IiIiIiIhI/adwTuRkDAPsJeCsAIsNrEFgMvm6qlpjGAYVDgOH06DU7uCjlbv54MddFFc4AegVH8GjQ5Po0SrCx5WKiIiIiIiInDsUzon8kb0UstbB3hVQmve/5wMjILYPxHQH67lzvlqFw0XmwTJ2ZpdwpLiCH3blsig9mxK7O5Q7v0U4jw1N4qJ2TTCdw+GkiIiIiIiIiC8onBP5vcPpsGmme7XcH5XmQfosyJgHnUdAZOLZr8/LcvLLWZVeQLnDyao9h5iXlkVhmR2AqNAALu/Qgq4tGpPYNEzBnIiIiIiIiEgtUDgncszhdFifevpxTrt7XLdR9Tqgy8kvZ/nWI6zdl8ecrQc4XFIOQONAG0M7NKdnbCRmkwmXASu35ZPcvhFRjfx9XLWIiIiIiIjIuUXhnAi4t7JumvnbA+M0gw3A5B5/0eP1cotrud3Je0t2M3vLfrIKSwEI9fdjcFJzkls1wc9irjLeAFalFzC0exNsfuYT3FFEREREREREakLhnAi4z5g70VbWkzLc47PWQVzfWiurNqzYcYjnZm1lW3YhAIFWC5ckRNOvTTP8/Swnned0Gew9WEbbmKCzVaqIiIiIiIjIOU/hnIhhuJs/1MTeFe4mEfXgPLb1mUeYOi+N5TsOA2CzmLm4bTMGtosmyFa9PwoysktoEx2o8+dEREREREREvEThnIi9pGpXVk+U5rnn24Jr/PKGYVDhMHA4DfwsJmx+Jq+GX2nZR5k2L415W3IAsFpM9IpryuCkGMICrB7dq7jcSYXDwN+qcE5ERERERETEGxTOiXi0nfVk8z0P5yocLjIPlrEzu4Ticmfl88H+FtpEBxHXNOCMznfLPFzCawvS+XrDfgwDzCa4pltL7u3Xhl/3lNT4vg6ngb9nmZ6IiIiIiIiInITCORGL7azPz8kvZ1V6AU7X8c0nisud/LLnKFv2FtErMdzjDqm5hWXMWLSdz3/ei+O3+192fjQTBieSEBVKud11RuGcn0Wr5kRERERERES8ReGciDUIAiNqtrU1MMI93wM5+eWs3JZ/2p6wTpfBym35JLdvVK2ALr+kgreXZvDRit2U2V0A9EtowqSUJDq3bFQ5zuZnItjfUmW1XnUF+1uw+SmcExEREREREfEWhXMiJpO7qUP6LM/netgMosLhYlV6wWmDuWMMYFV6AUO7NznpFtficgcf/LiLd5ft5Gi5A4DucY2YlNKe5LaRx403mUy0iQ7ilz1Hq133MW2jg9QMQkRERERERMSLFM6JAMR0h4x54LRDtaIzE1is7nkeyDxYdsKtrKfidBnsPVhG25iqK/TK7E4+W5XJm4t3cLjYfW5e++hQJg5J4tIOzU4ZosU1DWDL3iKParGYTcQ2DfCodhERERERERE5NYVzIgDWQOg8AmN9KgCnXhv229XOI9zzqskwDHZm1+yst4zsEtpEB2IymXA4Xfx73X5eW5DOgYIyAFpFBjFhcCJXdm6O2Xzy6n/fGbZ7m1BW7yis1uubgF6J4WfUoEJEREREREREjqdwTuQ3OZZW7AwazgUls7BgB6qGdMfWmBlmP8xdboXIRI/uX+EwanTOG7ibRJRVuFiUlsu0+WnsPFgMQFSYPw9fmsiferbEajl5cHayzrD+VjMVDhfGKRbQWcymGjWmEBEREREREZHTUzgnwu+aNJhbMSd4NLH2rbS1byDEKKgcU2wKJ8Palb3WjlxgiSLKw9dwOD3bznqMYRhsyy3k3bfT2ZrtXunWOMjKAwPacVtyKwKsllPOP1Vn2PLfGkeYTWD1M1c+Bnfzh7bRQcQ1DcCqFXMiIiIiIiIitULhnNQbv9+S6WcxYfMzeaU5wR+bNNhNAey0dWOntSs2yvAzKnCYbFQQUNn84XRNGk7Ez+J5rTsPH2X2lv3sPFwEQLDNwl392nBXv3hCA6ynnV/dzrAuAyrsLi5oF07jEKtXv74iIiIiIiIicnIK56TOO9mWzGB/C21+W9l1JmehnbRJg8lEBYFUmI4/V+5kTRpOxeZnItjfUq2trfvyS/hu63625rhX7vmZTYzs05oxA9sREWyr1uvVpDPsup2FHoeOIiIiIiIiIlJzCuekTjvVlszicie/7DnKlr1FNT4TzVtNGqrDZDLRJjqIX/YcPemY3KIy5mzdz/r9RwD3dtNerZrw8CUJ9E6M8Kg+b3aGFREREREREZHaoXBO6qzqbsl0ugxWbssnuX0jjwO6M23SUOEw8LdWf+tnXNMAtuwtOi40O1JSwby0A/yceYhjl7q3jGBo++ZEhwXSvU0jj2o7m6GjiIiIiIiIiNScwjmpk2qyJbMm58DVtEnD7+f7n/7ot0o2PzO9EsMrQ8eicjvz07NYvutgZWDXMSqcyzu2oEV4ECagV2K4x9tMz3boKCIiIiIiIiI1o3BO6qSztSWzJk0aznR+VCN/OrUOYfKcdJbsyKbc4e6Q2jYyhGEdWxIfGQKAxWyq8Xbdsx06ioiIiIiIiEjNKJyTOudsbsn0pEnDHwX7W7D5eRbOldmdfLRiN28vzSC/xA5Aq8bBDO3QnKSmYZhM7nra/tbowlrDxgy+CB1FRERERERExHMK56TOOZtbMqvTpOFk2kYHVTsEtDtdfLF6L68v2k5OYbl7ftNgJg5JIuW8KOxO92o1P4sJm5/pjM97O9uho4iIiIiIiIjUjMI5qXPOeEumw4W/UQrOCrDYwBoEpwi7Ttak4VQsZhOxTQNOO87pMvh24wFemZ9OZp57NWCLRoGMG5TANd1a4Gdxr4zzN+PVbaRnK3QUERERERERkTOjcE7qnJpuqbQaZcTZtxKw5hcoz/vfhcAIiO0DMd3BGnjcvD82aTid6jRpMAyDBVtzmTo3jbQcd0DWJMTGgwPbcXOvOPz9LB6+O8/VZugoIiIiIiIiIt6hcE7qnJpsyWzm2E2vstlYsB93zSjNw5Q+CzLmQecREJl43JioRv70TgpnVXoBp8qyqtOkYUXGIabMTWN9Zj4AYQF+3Nu/LXf0bU2Q7ez9J1cboaOIiIiIiIiIeJfCOalzqr0l0zCwUUaUYxfdy+djwuBEa+4qn3PaYX0qdBtVJaCrcLjIPFjGzuySkwZz1WnSsGFvPlPnpvHjjkMABFot3NG3Nfde3JbwIN+0Po1q5E9y+0asSi845Qq6M+kMKyIiIiIiIiI1p3BO6qRTbck8tn21jX0DIUaBB3c1ABNsmgkXPQ7WQHLyy6sRXEHn1iFENz7xds/0nKNMm5fG3F9z3PVZTNxyYRxjLmlHs1DfbxGNauTP0O5N2HuwjIzskiorEr3RGVZEREREREREak7hnNRJJ9uSeartq9VjuBtFZK0jJ6xntbZ8Ol3wU1oBye1NVVaW7c0r4dX56Xy9YT+GAWYTXNOtJeMGJRAbEVTD+mqHzc9M25gg2kQHUuEwvNoZVkRERERERERqTuGc1Fl/3JLZzLGb5LL/nHT7qieMzBWssrar1lls4F5ztyq9gKHdm5BfUsHri3bw+epM7L91lh16XjSPDEkkISr0DCurXSaTCX+ryaudYUVERERERESk5hTOSZ12bEvm/ux8YrfN9kowB2Aqy8NiKcVpOr5768kUltl5+utf+WbTPsrsLgD6JTRh4pAkusQ28kJVIiIiIiIiItLQKJyTOs/mZybetRUDu1eCuWP8jAoqqhHOlTucLMvIYdH2HMoc7vPausU14tGU9iS3jfRiRSIiIiIiIiLS0CicE58yDOP0Z6AZBuxd4dVgDsBh+v/t3Xl4lOW9//HPM0tmkpCEJWSDRBYJ++6BAlpAWVTEWlvxqFW04lKl51jEFpcKnp5W23L89dRy9EgRtFUQetS6oFJRtEIEgSAgOwECQoAA2ZfZ7t8fQyKBEGZCMsPyfl1XLs0zzzPPd5o70/GT733fMQ0/7g9oxe7D+se2Ayqr9kmS0hNj9f0+7fX9Ae10SUroXXcAAAAAAAD1IZxDVHh8AeUfrlJePbuHdjq+e2hMze6h3gqp8miT3dtIKreS5FH9O6n6A0ar9x7Rh1v261ilR5KUHO/S1d0y1L99a9ksSxvzy7R5X7kGZyfV2SQCAAAAAAAgHIRziLiDRdW1mzycrLzarw17SrVpb9m3wZff0+Q17HT2k07q0AsYo/X7j+n9zft1qKxKkpTkdmpMtwwNzmoju81W53x/wChnS5GGdGtJQAcAAAAAABqFcA4RdbCoWjlbis64S2qd4Cuu4emn4TCyJLtTR+J7Sd7jx4zR1kMlem/TN9pXXCFJio9x6KouaRrWKUUxdlsDz/ftLq61nX4AAAAAAAAhIpxDxHh8Aa3cVnzGYK5GbfDVv41iYluf9dTWmvtafW5Tlqe1NuwpVd6RUi3e9I12HimTJLkcNo3onKoRl6bJ7bSH9Lz+gNHew1XqnB53VvUBAAAAAICLD+EcIib/cFW9U1kb4g8Y7S2sVufModK2dxt135o7GptTtr4/ktpkq2xvkf78xXZ9XVAsSXLYLI3okKRR2alyuVqcMuX1THYWVKhTWuypm1kAAAAAAAA0gHAOEWGMUV5BRaOu3VlQoU49+8vauUTye6WQe++CKqwk+dsPUWLnwdpV5Nez83P1zlf7JUk2S7ox46ge7rhD6W6P5JPK/EnKc/ZTvrO7vFb9m0acrLzaL4/PyOUknAMAAAAAAKEjnENEeHymzq6s4Siv9stjueXqc5uUO0+SpYYCOnP86+v4q9WifU+1T2ulw+UePf32Ni1cva+2e+/6tCN6qNMudYyr0omRWrwpVm/Pp+rhWaGV7nE65OgQUp0+v5HL2aiXCAAAAAAALlKEc4gInz+8brf6rne1yZb63ymtf7XeHVxr72CLka/nreqVkq2j5R498+FW/eWLPfL4ApKkKzvFaWrb5eqRUKH6Qr6aoM4ur4ZU/V057u+FFNA57HTNAQAAAACA8BDOISLONriqvb5NtnT5NOnAWmnvijqbRFixraXMoVLGQFX77PrTR9s15595KvcEO/YGdWytn1/VQZftfSGk6bHBOxoNrnpPH8Tf3eAU13iXXTEOwjkAAAAAABAewjlERIzDUrzL3qipracEX85YKWtYMIjzVgS76OwxkjNOVb6AXlmxW/+zbKeKKrySpN7tkvTI2K66okuyrL0r6u26Ox1LwQ66TO9m5cX0P+15ndPi2AwCAAAAAACEjXAOEWFZljqlxWnDntKwrz1t8GVZUky8pHh5/QEtXJWvPy7droMl1cHr2sZr6piuurpXWvB6Y4Lddo3Q2btOec5+9e7iardZymwb2sYRAAAAAAAAJyKcQ8RktXVr096y2g0ZQnGm4CsQMHpn/X49+49t2nMkuBtsu5axemhUF32/fzs57LZvT/ZW1JkGGypLUgtTrBhVyaPYUx4bnJ2kGIet3msBAAAAAAAaQjiHiIlx2DQ4O0k5W4rOsNpbUEPBlzFGH20+pP9aslVbCoLdeMktYjR55KW6ZXCWXA77qU8YxnTW+jiMRx7r23DObrM0ODtJqS1dZ/W8AAAAAADg4kU4h4hKbenSkG4ttXJbcYMddA0FXyt2Fur3H25Vbn6RJCnB7dD9wzvrzqEdFO9qYEjbY86qdp8VvD7eZVfntDhltXXLScccAAAAAAA4C4RzaFbGGPk8fvn9AdntNjli7Ept6dLVA5K193CVdhZU1NkkoqHg66u9RZq5ZKv+ub1QkuR22nTXsI66/7udlRTnPHMxzjgptnXYU1uNJONurRH92svhsCnGYbH5AwAAAAAAaBKEc2gWPq9fh/KLdCDvqKqP75oqSa44p9I7tVZKVkt1To9Tp7RYeXxGPr+Rw27VG3xtP1iq/1qyTR98XSBJctot3TIoS5NHXqqUxDA2YrCs4A6v294N67VYkqysoYqP5dcFAAAAAAA0LdIGNLljh8q0ddVeBfynTlutrvBq98aDyt98SF0HZapVSgu5nJZc9TS+7T1aof/30Ta9lfuNAkayWdL3+7fXQ6O6KLN1XOOKSx8g7Vwi+b1SqCvf2Z3B6wAAAAAAAJoY4Rya1LFDZdr8Rf4Zc6+A32jzF/nq/p0stUppUeexQ6VV+tPHOzR/Vb68xwO+q3um6eEx2eqSmnB2BTpjpT63SbnzFOyJa6jQ4x18fW4LXgcAAAAAANDECOfQZHxev7au2htaQ5okGWnrqr26bGy2HE67iiu8euGznZq7fJeqvAFJ0hVdkjV1TFf1zWxZ/1MYo6pyr7xVfjnddrnjnWdeD65NttT/Tmn9qw3v4Gp3BoO5NtkhviAAAAAAAIDwEM6hyRzKL6p3KmtDAn6jPTuP6IMDJXrh050qrfJJkvpntdQjY7tqaOfkeq+rrvBqS06B1i/bp5LDlbXHE9vGqs+I9uo2JE2uhjaJaJMtXT5NOrBW2rui7iYRsa2Da9NlDJQcYaxpBwAAAAAAECbLGBNemoJ6lZSUKCkpScXFxUpMTIx2ORFnjNHaj3bU2fzhTLwBo48Pluitb4pV7A3u2NotLUFTx3TVVd1TTtsBl//1Eb3/4kb5Ttjl9WQOl13X3NtLWT3bhFK85K0IdtHZY4K7up4Pu7EaI1VVSV6P5A9IdpvkjJHc7vOjfgAAAAAALmChZkV0zqFJ+Dz+kIM5vzH6/HCZ/m9fkQqrg51yWa1j9fCYrhrfJ0M22+mDpfyvj+jdWV/pTJGyz+PXu7O+0nUP9j1zQGdZUky8pPiQ6o+66mpp21Zpw3qptPTUxxMSpN59pOyukssV+foAAAAAAEDICOfQJPz+wBnPMcZo1dEKLdp7TPsrg0FeK6ddN2a2LgF2yQAAI5pJREFU1EO39FNCQsNTSKsrvHr/xY3BYO5M/Z4meMr7L27UnU8PbXiK6/lkb7605EPJ5zv9OaWl0orl0qqV0pixUmZW5OoDAAAAAABhIZxDk7Dbbad9zBij9cWVWph/TLvKgxswtHDYdH27lhqTmqAYu01u15mH4pacggansp56Y8lX7deWLwrU98rM0K87V+3Nl95frDO2Ddbw+YLnX3MtAR0AAAAAAOcowjk0CUeMXa445ylTW7eVVun1/GPaXFIlSXLbLF2bkaRr05MU5wgGeq44pxxOe4PPb4zR+mX7GlXb+k/2qc/I9t+uYVezVpvPKzmc58cabdXVwY65cJeINCZ43Y/uYIorAAAAAADnIMI5NAnLspTeqbV2bzwoSdpTXq2F+ceUWxTcSdVpWRqdlqDr27VU4klBXEan1pKkyjKPvFV+Od12ueOddTaEqCr31tmVNRwlhytVXe6T2xkIrtW2cYNUUvLtCYmJUq/e5/Yabdu2NjyVtSE+X/D63n2atiYAAAAAAHDWCOfQZFKyWmrl2m+0cPdR5RwplyTZJA1PSdCN7VuqTT1TVy2bpYK8Mn00b1ud8C2xbaz6jGivbkPS5IpzylsVxnTWenh25cu96uP6A66SknN7jTZjgoHi2di4IRhAnusdgmhWxhhVlpbIW1Ulp9ut2ITE0+6KDAAAAACIDMI5NIkDxZX649LtWrh2r/zHZ14OaROvH2a2UnrsqZsxmOPTM3esPKrSwgOnPF5yuFKfL9quL97O0zX39lTblJizqi/mn0sl+xkCvnN1jbaqqrqdfo1RUhKcGutueNONkxHmXBiqysu06dOlWvvBOyo+WFB7PCk1TQOuHq8ew6+SO75FFCsEAAAAgIsX4RzOypGyaj2/bKde+WKPPL7gjq1XdGyta5NidUnsqYFaTSgX8Bvtyi1SaaGnwef3Vfv17nNfaVynfUqMSVWJxykpvHAo0eWVyxZi591Ja7SdE+GUz3vmc0Lh9YQczhHmXDh2r1ujt599Wl5P9SmPFR86qE9e+bM+X/AXXT/lUXXoNzAKFQIAAADAxc0yJtwV5lGfkpISJSUlqbi4WImJidEup+kZI1NZqcriClVVWyq3LL3y5Xb9dV2hKo/PFO3TPkmDM+L11c5D2lfiVe82iRqbnqQ097edc9XlPh3eU6Ej31Qq4At16Bk5bEaXpRYqZ3+yZKpljEeWFSNZ7jOGZZe3O6i+KUVhvdyqAQO06XBBg+GUKy6+weCuyYK9ykrplXnhX3eyiXeFFM6dEuac+BZxvH5njIsw5zywe90avfHbp4KheENv9ZYly7J04y+m8zMFAAAAgCYSalZEONdELtRwzl9ertJPPlPehjLtc2TIlRGvz0oq9fdvilR2vFMu223085aFGuIuUbz1bRC3y+vQisp4+Qoz5DeWPJUB+b2NG24mUKlM95faeXi7TKC49rhlS5Ld1V/2mB6ybCcFT5bksAK6s+dOuRyBkO+1+8hhvb1xrbyB4912J4dTRrI57HK3SFBF0bHah2qCu87/8h3t/PKLpus6M0Za8NrZTW1NTJT+9dYzrjlHmHPhqCov04s/uTMYsobyNm9Zcsa4dO/z8+iKBAAAAIAmQDgXYRdaOFeyfbPK/vqKjrX6F31jT5EtSfq0xKN3D1brmDcYdKW7nbops6X+pXWcHDLqVvS1WnmOyWfZdSg2TQfi2qnaEVv7nDVdc0e/qZQ/5K45ye/dLW/ZO5Iamt7plLPFeNmdHYLfWsHJr9d12qusxIqQ77X7yGG98dUqNeqXwrLqCfKaqOtsw/rgphWNNXTYGXdrJcy5sKxd/Hd98sqfQ/tZ1rAsjZx4jwZcc33zFQYAAAAAF4lQsyJbBGvCeaDw2E6t/M0M7f7gmErNldpzqFJ/K9ion20+qL/sq9Qxb0AtLI9+0NarX/dqq+8kt5DdZlPAsmlzq97a1aKDVrcdot0JnVVtr9vJFhNnV7vuCeo5sq0SkkPb4CEYzL2phoM5SfLKW/am/N7dkiRHjF3X3d0lrGCuyuvV2xvXNC6Yk04NQer73hh5PdV647dPafe6NaE/d3ZXydHIJSIdjuD1Z7Dp06WhB3NS7WvZ9NnHjasLzcYYo7UfvBNeMHfc2vffFn+zAQAAAIDIIZxDrQ/W/bf2vLpD6aUjVbb/oGYGNutxE6Ml/kyVGrfc8mqQY4++71yvhNJ1Wv71uyosCU7btCxLRtKB+CwFLFuwS+ykKZTW8amQNrulzpe1OmNAZwJVxzvmQl+bzlv+jgZ/r53ufGaYsnomh/X6NxXsk9cf4sYRZ8MYGWP09rNPq6q8LLRrXC5pzNgzTks9hWVJY64OXt9gSYQ5F5LK0pI6U6pDZoyKDxaoqqy06YsCAAAAANSLcA6SgsFc25wuStkXq2+so3rNsUP/8HXWMRMnp3wa4Ni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      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for f in colors:\n",
    "    sub = carnivores[carnivores.Family == f]\n",
    "    plt.scatter(sub.AdultBodyMass_g, sub.NeonateBodyMass_g, color=colors[f], s=100, label=f)\n",
    "pred = pd.DataFrame({ \"AdultBodyMass_g\": np.linspace(0, 1.6e6, 21) })\n",
    "pred['NeonateBodyMass_g'] = fit1.predict(pred)\n",
    "plt.plot(pred.AdultBodyMass_g, pred.NeonateBodyMass_g)\n",
    "plt.xlabel(\"adult mass\"); plt.ylabel(\"neonate mass\"); plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6736cf96",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Heteroskedasticity?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fdd8f6ea",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Diagnostics"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33ac7b9b",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Two good generic diagnostic plots are:\n",
    "\n",
    "1. residuals versus fitted\n",
    "2. distribution of residuals (histogram or QQ plot)\n",
    "\n",
    "*What's the idea?*\n",
    "\n",
    "1. If the residuals show predictable patterns, we could improve our model,\n",
    "2. and if the residual SD differs systematically,\n",
    "    we have *heteroskedasticity*\n",
    "    (and so our model isn't using all the data very well)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0c13886",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Patterns in the residuals"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fac34b57",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Here's data that are nonlinear but we don't know it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "68d5b987",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.array([np.linspace(-4, 4, 101)]).T\n",
    "y = rng.normal(loc=X**2, scale=1)\n",
    "xy_lm = lm().fit(X, y)\n",
    "yhat = xy_lm.predict(X)\n",
    "plt.scatter(X[:,0], y)\n",
    "plt.plot(X[:,0], yhat);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6cb077cf",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "And, this shows up in the fit-versus-residuals plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b152feb8",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "resids = y - yhat\n",
    "plt.scatter(yhat, resids);\n",
    "plt.axhline(0, color='red')\n",
    "plt.xlabel(\"fitted values\"); plt.ylabel(\"residuals\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "203d8ecb",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Solution: add a quadratic term!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "51bf7993",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "XX2 = np.hstack([X, X**2])\n",
    "xy_lm = lm().fit(XX2, y)\n",
    "yhat = xy_lm.predict(XX2)\n",
    "plt.scatter(X[:,0], y); plt.plot(X[:,0], yhat); plt.xlabel(\"x\"); plt.ylabel('y');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d2f4d1d2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b16e3cca",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "resids = y - yhat\n",
    "plt.scatter(yhat, resids);\n",
    "plt.axhline(0, color='red')\n",
    "plt.xlabel(\"fitted values\"); plt.ylabel(\"residuals\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8dda65fd",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Back to our data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "634ec6df",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Let's look at this in our data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b7b14e2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "carnivores['PredictedNeonateMass'] = fit1.predict(\n",
    "    carnivores[['AdultBodyMass_g']]\n",
    ")\n",
    "carnivores['residual'] = carnivores['NeonateBodyMass_g'] - carnivores['PredictedNeonateMass']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e14f46f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Family</th>\n",
       "      <th>NeonateBodyMass_g</th>\n",
       "      <th>AdultBodyMass_g</th>\n",
       "      <th>AgeatEyeOpening_d</th>\n",
       "      <th>WeaningAge_d</th>\n",
       "      <th>PredictedNeonateMass</th>\n",
       "      <th>residual</th>\n",
       "      <th>logAdultBodyMass_g</th>\n",
       "      <th>logNeonateBodyMass_g</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Binomial</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Canis aureus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>211.82</td>\n",
       "      <td>9658.70</td>\n",
       "      <td>7.50</td>\n",
       "      <td>61.30</td>\n",
       "      <td>916.205446</td>\n",
       "      <td>-704.385446</td>\n",
       "      <td>9.175614</td>\n",
       "      <td>5.355737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis latrans</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>200.01</td>\n",
       "      <td>11989.10</td>\n",
       "      <td>11.94</td>\n",
       "      <td>43.71</td>\n",
       "      <td>1003.630922</td>\n",
       "      <td>-803.620922</td>\n",
       "      <td>9.391753</td>\n",
       "      <td>5.298367</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis lupus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>412.31</td>\n",
       "      <td>31756.51</td>\n",
       "      <td>14.01</td>\n",
       "      <td>44.82</td>\n",
       "      <td>1745.209715</td>\n",
       "      <td>-1332.899715</td>\n",
       "      <td>10.365853</td>\n",
       "      <td>6.021775</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis mesomelas</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>177.20</td>\n",
       "      <td>8247.30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>34.10</td>\n",
       "      <td>863.256460</td>\n",
       "      <td>-686.056460</td>\n",
       "      <td>9.017641</td>\n",
       "      <td>5.177279</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Callorhinus ursinus</th>\n",
       "      <td>Otariidae</td>\n",
       "      <td>5354.80</td>\n",
       "      <td>55464.82</td>\n",
       "      <td>0.00</td>\n",
       "      <td>108.69</td>\n",
       "      <td>2634.632251</td>\n",
       "      <td>2720.167749</td>\n",
       "      <td>10.923504</td>\n",
       "      <td>8.585749</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes lagopus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>69.17</td>\n",
       "      <td>3584.37</td>\n",
       "      <td>15.03</td>\n",
       "      <td>49.50</td>\n",
       "      <td>688.325602</td>\n",
       "      <td>-619.155602</td>\n",
       "      <td>8.184338</td>\n",
       "      <td>4.236567</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes velox</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>39.94</td>\n",
       "      <td>2088.00</td>\n",
       "      <td>12.50</td>\n",
       "      <td>47.08</td>\n",
       "      <td>632.188948</td>\n",
       "      <td>-592.248948</td>\n",
       "      <td>7.643962</td>\n",
       "      <td>3.687378</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes vulpes</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>100.49</td>\n",
       "      <td>4820.36</td>\n",
       "      <td>14.01</td>\n",
       "      <td>50.71</td>\n",
       "      <td>734.694042</td>\n",
       "      <td>-634.204042</td>\n",
       "      <td>8.480604</td>\n",
       "      <td>4.610058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes zerda</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>28.04</td>\n",
       "      <td>1317.13</td>\n",
       "      <td>16.95</td>\n",
       "      <td>65.56</td>\n",
       "      <td>603.269588</td>\n",
       "      <td>-575.229588</td>\n",
       "      <td>7.183210</td>\n",
       "      <td>3.333632</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zalophus californianus</th>\n",
       "      <td>Otariidae</td>\n",
       "      <td>6347.89</td>\n",
       "      <td>137194.86</td>\n",
       "      <td>0.00</td>\n",
       "      <td>319.01</td>\n",
       "      <td>5700.752923</td>\n",
       "      <td>647.137077</td>\n",
       "      <td>11.829158</td>\n",
       "      <td>8.755878</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>145 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                           Family  NeonateBodyMass_g  AdultBodyMass_g  \\\n",
       "Binomial                                                                \n",
       "Canis aureus              Canidae             211.82          9658.70   \n",
       "Canis latrans             Canidae             200.01         11989.10   \n",
       "Canis lupus               Canidae             412.31         31756.51   \n",
       "Canis mesomelas           Canidae             177.20          8247.30   \n",
       "Callorhinus ursinus     Otariidae            5354.80         55464.82   \n",
       "...                           ...                ...              ...   \n",
       "Vulpes lagopus            Canidae              69.17          3584.37   \n",
       "Vulpes velox              Canidae              39.94          2088.00   \n",
       "Vulpes vulpes             Canidae             100.49          4820.36   \n",
       "Vulpes zerda              Canidae              28.04          1317.13   \n",
       "Zalophus californianus  Otariidae            6347.89        137194.86   \n",
       "\n",
       "                        AgeatEyeOpening_d  WeaningAge_d  PredictedNeonateMass  \\\n",
       "Binomial                                                                        \n",
       "Canis aureus                         7.50         61.30            916.205446   \n",
       "Canis latrans                       11.94         43.71           1003.630922   \n",
       "Canis lupus                         14.01         44.82           1745.209715   \n",
       "Canis mesomelas                       NaN         34.10            863.256460   \n",
       "Callorhinus ursinus                  0.00        108.69           2634.632251   \n",
       "...                                   ...           ...                   ...   \n",
       "Vulpes lagopus                      15.03         49.50            688.325602   \n",
       "Vulpes velox                        12.50         47.08            632.188948   \n",
       "Vulpes vulpes                       14.01         50.71            734.694042   \n",
       "Vulpes zerda                        16.95         65.56            603.269588   \n",
       "Zalophus californianus               0.00        319.01           5700.752923   \n",
       "\n",
       "                           residual  logAdultBodyMass_g  logNeonateBodyMass_g  \n",
       "Binomial                                                                       \n",
       "Canis aureus            -704.385446            9.175614              5.355737  \n",
       "Canis latrans           -803.620922            9.391753              5.298367  \n",
       "Canis lupus            -1332.899715           10.365853              6.021775  \n",
       "Canis mesomelas         -686.056460            9.017641              5.177279  \n",
       "Callorhinus ursinus     2720.167749           10.923504              8.585749  \n",
       "...                             ...                 ...                   ...  \n",
       "Vulpes lagopus          -619.155602            8.184338              4.236567  \n",
       "Vulpes velox            -592.248948            7.643962              3.687378  \n",
       "Vulpes vulpes           -634.204042            8.480604              4.610058  \n",
       "Vulpes zerda            -575.229588            7.183210              3.333632  \n",
       "Zalophus californianus   647.137077           11.829158              8.755878  \n",
       "\n",
       "[145 rows x 9 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "carnivores"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b8e3eb3",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "No particular pattern (?), but certainly: heteroskedasticity!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "e603b173",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(carnivores.PredictedNeonateMass, carnivores.residual)\n",
    "plt.axhline(0, color='red');\n",
    "plt.xlabel(\"predicted neonate body mass\"); plt.ylabel(\"residual of neonate body mass\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aea15bb8",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Why is heteroskedasticity a problem?\n",
    "Above, we see that small body masses are all very close to the predicted line.\n",
    "Indeed they have to be! A 5g weasel can't have a 100kg baby.\n",
    "So: these small animals are not affecting the fit of that line very much at all.\n",
    "Maybe that's okay - if we're interested in a relationship that holds\n",
    "only for big animals, for instance -\n",
    "but we should dig more."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b23e7d0a",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# A transformation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78cd75f3",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "One reason for having bad model fit\n",
    "is that you aren't looking at the data through the right lens.\n",
    "\n",
    "Most commonly:\n",
    "if the data vary by *percent changes*,\n",
    "then using standard methods (that assume *additive changes*)\n",
    "won't do so great.\n",
    "But, the **logarithm** turns percent changes\n",
    "into additive changes!\n",
    "\n",
    "Let's try it out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "01858e31",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for f in colors:\n",
    "    sub = carnivores[carnivores.Family == f]\n",
    "    plt.scatter(sub.AdultBodyMass_g, sub.NeonateBodyMass_g, color=colors[f], s=100, label=f)\n",
    "plt.xscale(\"log\"); plt.yscale(\"log\")  # log-log axes\n",
    "plt.xlabel(\"adult mass\"); plt.ylabel(\"neonate mass\"); plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a24849b",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Okay, let's now fit a model\n",
    "to log(adult) and log(neonate) mass:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "f1506291",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Family</th>\n",
       "      <th>NeonateBodyMass_g</th>\n",
       "      <th>AdultBodyMass_g</th>\n",
       "      <th>AgeatEyeOpening_d</th>\n",
       "      <th>WeaningAge_d</th>\n",
       "      <th>PredictedNeonateMass</th>\n",
       "      <th>residual</th>\n",
       "      <th>logAdultBodyMass_g</th>\n",
       "      <th>logNeonateBodyMass_g</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Binomial</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Canis aureus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>211.82</td>\n",
       "      <td>9658.70</td>\n",
       "      <td>7.50</td>\n",
       "      <td>61.30</td>\n",
       "      <td>916.205446</td>\n",
       "      <td>-704.385446</td>\n",
       "      <td>9.175614</td>\n",
       "      <td>5.355737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis latrans</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>200.01</td>\n",
       "      <td>11989.10</td>\n",
       "      <td>11.94</td>\n",
       "      <td>43.71</td>\n",
       "      <td>1003.630922</td>\n",
       "      <td>-803.620922</td>\n",
       "      <td>9.391753</td>\n",
       "      <td>5.298367</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis lupus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>412.31</td>\n",
       "      <td>31756.51</td>\n",
       "      <td>14.01</td>\n",
       "      <td>44.82</td>\n",
       "      <td>1745.209715</td>\n",
       "      <td>-1332.899715</td>\n",
       "      <td>10.365853</td>\n",
       "      <td>6.021775</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canis mesomelas</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>177.20</td>\n",
       "      <td>8247.30</td>\n",
       "      <td>NaN</td>\n",
       "      <td>34.10</td>\n",
       "      <td>863.256460</td>\n",
       "      <td>-686.056460</td>\n",
       "      <td>9.017641</td>\n",
       "      <td>5.177279</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Callorhinus ursinus</th>\n",
       "      <td>Otariidae</td>\n",
       "      <td>5354.80</td>\n",
       "      <td>55464.82</td>\n",
       "      <td>0.00</td>\n",
       "      <td>108.69</td>\n",
       "      <td>2634.632251</td>\n",
       "      <td>2720.167749</td>\n",
       "      <td>10.923504</td>\n",
       "      <td>8.585749</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes lagopus</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>69.17</td>\n",
       "      <td>3584.37</td>\n",
       "      <td>15.03</td>\n",
       "      <td>49.50</td>\n",
       "      <td>688.325602</td>\n",
       "      <td>-619.155602</td>\n",
       "      <td>8.184338</td>\n",
       "      <td>4.236567</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes velox</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>39.94</td>\n",
       "      <td>2088.00</td>\n",
       "      <td>12.50</td>\n",
       "      <td>47.08</td>\n",
       "      <td>632.188948</td>\n",
       "      <td>-592.248948</td>\n",
       "      <td>7.643962</td>\n",
       "      <td>3.687378</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes vulpes</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>100.49</td>\n",
       "      <td>4820.36</td>\n",
       "      <td>14.01</td>\n",
       "      <td>50.71</td>\n",
       "      <td>734.694042</td>\n",
       "      <td>-634.204042</td>\n",
       "      <td>8.480604</td>\n",
       "      <td>4.610058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vulpes zerda</th>\n",
       "      <td>Canidae</td>\n",
       "      <td>28.04</td>\n",
       "      <td>1317.13</td>\n",
       "      <td>16.95</td>\n",
       "      <td>65.56</td>\n",
       "      <td>603.269588</td>\n",
       "      <td>-575.229588</td>\n",
       "      <td>7.183210</td>\n",
       "      <td>3.333632</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Zalophus californianus</th>\n",
       "      <td>Otariidae</td>\n",
       "      <td>6347.89</td>\n",
       "      <td>137194.86</td>\n",
       "      <td>0.00</td>\n",
       "      <td>319.01</td>\n",
       "      <td>5700.752923</td>\n",
       "      <td>647.137077</td>\n",
       "      <td>11.829158</td>\n",
       "      <td>8.755878</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>145 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                           Family  NeonateBodyMass_g  AdultBodyMass_g  \\\n",
       "Binomial                                                                \n",
       "Canis aureus              Canidae             211.82          9658.70   \n",
       "Canis latrans             Canidae             200.01         11989.10   \n",
       "Canis lupus               Canidae             412.31         31756.51   \n",
       "Canis mesomelas           Canidae             177.20          8247.30   \n",
       "Callorhinus ursinus     Otariidae            5354.80         55464.82   \n",
       "...                           ...                ...              ...   \n",
       "Vulpes lagopus            Canidae              69.17          3584.37   \n",
       "Vulpes velox              Canidae              39.94          2088.00   \n",
       "Vulpes vulpes             Canidae             100.49          4820.36   \n",
       "Vulpes zerda              Canidae              28.04          1317.13   \n",
       "Zalophus californianus  Otariidae            6347.89        137194.86   \n",
       "\n",
       "                        AgeatEyeOpening_d  WeaningAge_d  PredictedNeonateMass  \\\n",
       "Binomial                                                                        \n",
       "Canis aureus                         7.50         61.30            916.205446   \n",
       "Canis latrans                       11.94         43.71           1003.630922   \n",
       "Canis lupus                         14.01         44.82           1745.209715   \n",
       "Canis mesomelas                       NaN         34.10            863.256460   \n",
       "Callorhinus ursinus                  0.00        108.69           2634.632251   \n",
       "...                                   ...           ...                   ...   \n",
       "Vulpes lagopus                      15.03         49.50            688.325602   \n",
       "Vulpes velox                        12.50         47.08            632.188948   \n",
       "Vulpes vulpes                       14.01         50.71            734.694042   \n",
       "Vulpes zerda                        16.95         65.56            603.269588   \n",
       "Zalophus californianus               0.00        319.01           5700.752923   \n",
       "\n",
       "                           residual  logAdultBodyMass_g  logNeonateBodyMass_g  \n",
       "Binomial                                                                       \n",
       "Canis aureus            -704.385446            9.175614              5.355737  \n",
       "Canis latrans           -803.620922            9.391753              5.298367  \n",
       "Canis lupus            -1332.899715           10.365853              6.021775  \n",
       "Canis mesomelas         -686.056460            9.017641              5.177279  \n",
       "Callorhinus ursinus     2720.167749           10.923504              8.585749  \n",
       "...                             ...                 ...                   ...  \n",
       "Vulpes lagopus          -619.155602            8.184338              4.236567  \n",
       "Vulpes velox            -592.248948            7.643962              3.687378  \n",
       "Vulpes vulpes           -634.204042            8.480604              4.610058  \n",
       "Vulpes zerda            -575.229588            7.183210              3.333632  \n",
       "Zalophus californianus   647.137077           11.829158              8.755878  \n",
       "\n",
       "[145 rows x 9 columns]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "carnivores['logAdultBodyMass_g'] = np.log(carnivores['AdultBodyMass_g'])\n",
    "carnivores['logNeonateBodyMass_g'] = np.log(carnivores['NeonateBodyMass_g'])\n",
    "fit2 = lm().fit(carnivores[['logAdultBodyMass_g']], carnivores.logNeonateBodyMass_g)\n",
    "carnivores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "8ae9ec7c",
   "metadata": {
    "scrolled": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/pandas/core/arraylike.py:364: RuntimeWarning: divide by zero encountered in log\n",
      "  result = getattr(ufunc, method)(*inputs, **kwargs)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for f in colors:\n",
    "    sub = carnivores[carnivores.Family == f]\n",
    "    plt.scatter(sub.logAdultBodyMass_g, sub.logNeonateBodyMass_g, color=colors[f], s=100, label=f)\n",
    "pred2 = pd.DataFrame({\n",
    "    \"logAdultBodyMass_g\": np.linspace(np.min(carnivores.logAdultBodyMass_g),\n",
    "                                      np.max(carnivores.logAdultBodyMass_g), 201)\n",
    "})\n",
    "pred2['logNeonateBodyMass_g'] = fit2.predict(pred2)\n",
    "plt.plot(np.log(pred.AdultBodyMass_g), np.log(pred.NeonateBodyMass_g), label='orig fit')\n",
    "plt.plot(pred2.logAdultBodyMass_g, pred2.logNeonateBodyMass_g, label='log fit')\n",
    "plt.xlabel(\"log adult mass\"); plt.ylabel(\"log neonate mass\"); plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b2aac6c",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Conclusions?\n",
    "\n",
    "1. taking logs is definitely the way to fit these data\n",
    "2. each family looks to have a different relationship\n",
    "3. so a better model would allow different lines for each family"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e0ce08fe",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for f in colors:\n",
    "    sub = carnivores[carnivores.Family == f]\n",
    "    fit_sub = lm().fit(sub[['logAdultBodyMass_g']], sub.logNeonateBodyMass_g)\n",
    "    plt.scatter(sub.logAdultBodyMass_g, sub.logNeonateBodyMass_g, color=colors[f], s=100, label=f)\n",
    "    pred_sub = pd.DataFrame({\n",
    "        \"logAdultBodyMass_g\": np.linspace(np.min(sub.logAdultBodyMass_g),\n",
    "                                          np.max(sub.logAdultBodyMass_g), 201)\n",
    "    })\n",
    "    pred_sub['logNeonateBodyMass_g'] = fit_sub.predict(pred_sub)\n",
    "    plt.plot(pred_sub.logAdultBodyMass_g, pred_sub.logNeonateBodyMass_g, color=colors[f])\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "53283e87",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='AdultBodyMass_g', ylabel='NeonateBodyMass_g'>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "carnivores[carnivores.Family == \"Mustelidae\"].plot.scatter(\"AdultBodyMass_g\", \"NeonateBodyMass_g\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "0a816d8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='logAdultBodyMass_g', ylabel='logNeonateBodyMass_g'>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "carnivores[carnivores.Family == \"Mustelidae\"].plot.scatter(\"logAdultBodyMass_g\", \"logNeonateBodyMass_g\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4aef20d9",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Next steps:\n",
    "\n",
    "- fit the model with the additional variables\n",
    "    to see if maybe we don't need separate models by family any more?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "c516bd21",
   "metadata": {},
   "outputs": [],
   "source": [
    "non_na = carnivores[~np.isnan(carnivores.AgeatEyeOpening_d)]\n",
    "non_na = non_na[~np.isnan(non_na.WeaningAge_d)]\n",
    "fit3 = lm().fit(non_na[['logAdultBodyMass_g', \"AgeatEyeOpening_d\", \"WeaningAge_d\"]], non_na.logNeonateBodyMass_g)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "0b61b7a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "non_na['predicted'] = fit3.predict(non_na[['logAdultBodyMass_g', \"AgeatEyeOpening_d\", \"WeaningAge_d\"]])\n",
    "non_na['resid'] = non_na.logNeonateBodyMass_g - non_na['predicted']\n",
    "\n",
    "for f in colors:\n",
    "    sub = non_na[non_na.Family == f]\n",
    "    plt.scatter(sub.predicted, sub.resid, color=colors[f], s=100, label=f)\n",
    "plt.axhline(0, color='red')\n",
    "plt.legend();"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.9"
  },
  "rise": {
   "scroll": true,
   "transition": "none"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}