{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4480acaa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:27.709829Z",
     "iopub.status.busy": "2023-08-05T14:52:27.709534Z",
     "iopub.status.idle": "2023-08-05T14:52:28.139409Z",
     "shell.execute_reply": "2023-08-05T14:52:28.138661Z"
    },
    "nbsphinx": "hidden"
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dfcb3255",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:28.143625Z",
     "iopub.status.busy": "2023-08-05T14:52:28.143086Z",
     "iopub.status.idle": "2023-08-05T14:52:28.156730Z",
     "shell.execute_reply": "2023-08-05T14:52:28.156177Z"
    },
    "nbsphinx": "hidden"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/runner/work/gala/gala/docs/tutorials/nb_setup:2: DeprecationWarning: `magic(...)` is deprecated since IPython 0.13 (warning added in 8.1), use run_line_magic(magic_name, parameter_s).\n",
      "  get_ipython().magic('config InlineBackend.figure_format = \"retina\"')  # noqa\n"
     ]
    }
   ],
   "source": [
    "%run nb_setup"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09315599",
   "metadata": {},
   "source": [
    "# Defining a Milky Way potential model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1225eef1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:28.159713Z",
     "iopub.status.busy": "2023-08-05T14:52:28.159119Z",
     "iopub.status.idle": "2023-08-05T14:52:28.769772Z",
     "shell.execute_reply": "2023-08-05T14:52:28.768988Z"
    }
   },
   "outputs": [],
   "source": [
    "# Third-party dependencies\n",
    "from astropy.io import ascii\n",
    "import astropy.units as u\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import leastsq\n",
    "\n",
    "# Gala\n",
    "import gala.potential as gp\n",
    "from gala.units import galactic"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cb515f4",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "`gala` provides a simple and easy way to access and integrate orbits in an\n",
    "approximate mass model for the Milky Way. The parameters of the mass model are\n",
    "determined by least-squares fitting the enclosed mass profile of a pre-defined\n",
    "potential form to recent measurements compiled from the literature. These\n",
    "measurements are provided with the documentation of `gala` and are shown\n",
    "below. The radius units are kpc, and mass units are solar masses:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7d6004df",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:28.773764Z",
     "iopub.status.busy": "2023-08-05T14:52:28.773265Z",
     "iopub.status.idle": "2023-08-05T14:52:28.784417Z",
     "shell.execute_reply": "2023-08-05T14:52:28.783733Z"
    }
   },
   "outputs": [],
   "source": [
    "tbl = ascii.read('data/MW_mass_enclosed.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7fc84494",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:28.787285Z",
     "iopub.status.busy": "2023-08-05T14:52:28.786840Z",
     "iopub.status.idle": "2023-08-05T14:52:28.793223Z",
     "shell.execute_reply": "2023-08-05T14:52:28.792677Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><i>Table length=16</i>\n",
       "<table id=\"table139798805933280\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>r</th><th>Menc</th><th>Menc_err_neg</th><th>Menc_err_pos</th><th>ref</th></tr></thead>\n",
       "<thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th><th>str27</th></tr></thead>\n",
       "<tr><td>0.01</td><td>30000000.0</td><td>10000000.0</td><td>10000000.0</td><td>Feldmeier et al. (2014)</td></tr>\n",
       "<tr><td>0.12</td><td>800000000.0</td><td>200000000.0</td><td>200000000.0</td><td>Launhardt et al. (2002)</td></tr>\n",
       "<tr><td>8.1</td><td>89502860861.52429</td><td>4994562473.797714</td><td>4858963492.608627</td><td>Bovy et al. (2012)</td></tr>\n",
       "<tr><td>8.3</td><td>110417867208.19055</td><td>4475949382.696884</td><td>4387023236.020782</td><td>McMillan (2011)</td></tr>\n",
       "<tr><td>8.4</td><td>102421035406.90356</td><td>16733918715.629944</td><td>15468328224.531876</td><td>Koposov et al. (2010)</td></tr>\n",
       "<tr><td>19.0</td><td>208023299175.30438</td><td>44317988008.38101</td><td>34833267089.920685</td><td>Kuepper et al. (2015)</td></tr>\n",
       "<tr><td>50.0</td><td>539884832748.48975</td><td>19995734543.31433</td><td>268490735257.4718</td><td>Wilkinson &amp; Evans (1999)</td></tr>\n",
       "<tr><td>50.0</td><td>529886965173.18726</td><td>9997867269.659302</td><td>38536752776.21277</td><td>Sakamoto et al. (2003)</td></tr>\n",
       "<tr><td>50.0</td><td>399914690706.92847</td><td>109976539940.53711</td><td>72696676468.2511</td><td>Smith et al. (2007)</td></tr>\n",
       "<tr><td>50.0</td><td>419910425325.7268</td><td>39991469076.968506</td><td>38172735113.64386</td><td>Deason et al. (2012)</td></tr>\n",
       "<tr><td>60.0</td><td>399914690957.5188</td><td>69985070910.63354</td><td>64344945146.92987</td><td>Xue et al. (2008)</td></tr>\n",
       "<tr><td>80.0</td><td>689852841359.0248</td><td>299936018002.3314</td><td>110361048549.1029</td><td>Gnedin et al. (2010)</td></tr>\n",
       "<tr><td>100.0</td><td>1399701417307.7747</td><td>899808054059.3811</td><td>831336271726.1903</td><td>Watkins et al. (2010)</td></tr>\n",
       "<tr><td>120.0</td><td>539884832260.29584</td><td>199957345314.72906</td><td>123854764645.32489</td><td>Battaglia et al. (2005)</td></tr>\n",
       "<tr><td>150.0</td><td>750000000000.0</td><td>250000000000.0</td><td>250000000000.0</td><td>Deason et al. (2012)</td></tr>\n",
       "<tr><td>200.0</td><td>679854974257.2006</td><td>409912558030.05396</td><td>313652012195.06256</td><td>Bhattacherjee et al. (2014)</td></tr>\n",
       "</table></div>"
      ],
      "text/plain": [
       "<Table length=16>\n",
       "   r           Menc        ...    Menc_err_pos                ref            \n",
       "float64      float64       ...      float64                  str27           \n",
       "------- ------------------ ... ------------------ ---------------------------\n",
       "   0.01         30000000.0 ...         10000000.0     Feldmeier et al. (2014)\n",
       "   0.12        800000000.0 ...        200000000.0     Launhardt et al. (2002)\n",
       "    8.1  89502860861.52429 ...  4858963492.608627          Bovy et al. (2012)\n",
       "    8.3 110417867208.19055 ...  4387023236.020782             McMillan (2011)\n",
       "    8.4 102421035406.90356 ... 15468328224.531876       Koposov et al. (2010)\n",
       "   19.0 208023299175.30438 ... 34833267089.920685       Kuepper et al. (2015)\n",
       "   50.0 539884832748.48975 ...  268490735257.4718    Wilkinson & Evans (1999)\n",
       "   50.0 529886965173.18726 ...  38536752776.21277      Sakamoto et al. (2003)\n",
       "   50.0 399914690706.92847 ...   72696676468.2511         Smith et al. (2007)\n",
       "   50.0  419910425325.7268 ...  38172735113.64386        Deason et al. (2012)\n",
       "   60.0  399914690957.5188 ...  64344945146.92987           Xue et al. (2008)\n",
       "   80.0  689852841359.0248 ...  110361048549.1029        Gnedin et al. (2010)\n",
       "  100.0 1399701417307.7747 ...  831336271726.1903       Watkins et al. (2010)\n",
       "  120.0 539884832260.29584 ... 123854764645.32489     Battaglia et al. (2005)\n",
       "  150.0     750000000000.0 ...     250000000000.0        Deason et al. (2012)\n",
       "  200.0  679854974257.2006 ... 313652012195.06256 Bhattacherjee et al. (2014)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tbl"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14f0abf1",
   "metadata": {},
   "source": [
    "Let's now plot the above data and uncertainties:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "66f1a60d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:28.795924Z",
     "iopub.status.busy": "2023-08-05T14:52:28.795492Z",
     "iopub.status.idle": "2023-08-05T14:52:29.440533Z",
     "shell.execute_reply": "2023-08-05T14:52:29.439873Z"
    }
   },
   "outputs": [
    {
     "data": {
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3b67IAtAI2XvsPQBA4djF7GIAkDRFFgAoUgsWLMh4pkuXLlFRUZGHNLnbfPPNo7Q0s9Xlk08+2aA7cFD8rrjiivjkk0/W+7rBgwdHixYtGiARAEmy99h7AIDCsYvZxQAgaYosAFCkPvzww4xnsvnESUMpLy+PLl26ZDRTX1+f1Z8DyXr99dcL+v7XX399jB8/foNee9hhh+U5DQD5YO+x9wAAhWMXs4sBQNIUWQCgSH3wwQcZz3Tq1CkPSZLTuXPnjGey+VQQyfr5z38ep512WkyZMqVB33fFihVxySWXxF133bVBr+/Vq1fsueeeeU4FQD7Ye75g7wEACsEu9gW7GAAkp6zQAQCA/CjGiwgdO3bMeCabPweSN3Xq1Bg1alRsu+22cfTRR8f+++8fG220UV7eq76+Pp555pn4zW9+k9FFpNNPPz3jWwcDkA72ni/YewCAQrCLfcEuBgDJUWQBgCL1ySefZDyTzTfpDSmbixxLlizJQxKyNXPmzBgzZkxcc801seuuu8aQIUNit912i27duuV89uLFi+Opp56KBx98MN59992MZvfZZ5/YZ599cs4AQGHYe75g7wEACsEu9gW7GAAkR5EFAIrU559/nvFM2i8iZJNv6dKleUhCrmpqauL555+P559/PiK++N92u+22i6222iq23HLL6Nq1a3Ts2DE23njjaNGiRZSXl0dJSUnU1NTEypUr49NPP41FixbF+++/HzNnzozXX389Zs2aFfX19Rln6dKlS/ziF79I+ksEoAHZe75g70mfW265JcaOHZu38x977LF47LHHspo99NBDY/To0ckGAqBJsot9IV+7mH0CgKZIkQUAilQ23zzn61EvSckmnx/oNA6ffPLJl4otDaVt27Zx3XXXRfv27Rv0fQFIlr3nC/YeAKAQ7GJfsIsBQHJKCx0AAMiPbL55bt26dR6SJKdVq1YZz2TzqSCahg4dOsSNN94YW221VaGjAJAje88X7D0AQCHYxb5gFwOA5CiyAEARWr58eaxZsybjubRfRGjTpk3GMz4Nw1fZeuut44477ojtttuu0FEAyJG9Zy17DwDQ0Oxia9nFACA5Hi0EAEVo2bJlWc1l82mThpRNvmz/LChOpaWlMXz48DjzzDOjefPmhY4DQALsPWvZewCAhmYXW8suBgDJcUcWAChCq1evzmquGC8i1NTU5CEJmdhzzz2z+iRT0gYPHhx//OMf48c//rESC0ARsfesZe8BABqaXWwtuxgAJMcdWQCgCGV7EaGsLN2rQTb5srm9Lck6//zz4yc/+Um8/PLL8fTTT8ezzz4bn376aYO8d0VFRQwbNiy++93vRp8+fRrkPQFoWPaetew9AEBDs4utZRcDgOSke1MAALLiIsJa2f5ZkKyysrIYPHhwDB48OH7+85/HzJkzo7KyMiorK2PatGnxySefJPZeXbp0iQEDBsTQoUNjyJAh0bJly8TOBiB97D1r2XsAgIZmF1vLLgYAyUn3pgAAZCXbT4A0a9Ys4STJyiafiwjpU1paGn369Ik+ffrE8OHDIyJi/vz5MXfu3Hj//ff/+euTTz6J5cuXR3V1dVRXV0dNTU2Ul5dHeXl5tGjRIjbeeOPo0KFDbLLJJtG9e/fo0aNH9OnTJzbbbLMCf4UANCR7z1r2nvQZOXJkjBw5stAxACBv7GJr5WsXs08A0BQpsgBAEcr2G+e0X0TwaZji1a1bt+jWrVuhYwDQCNl71rL3AAANzS62ll0MAJJTWugAAEDy6urqsppL+0WE0tLMV5fa2to8JAEA0sLes5a9BwBoaHaxtexiAJAcRRYAKELZXgzI9nawDSWbCwJpf+YyAJAbe89a9h4AoKHZxdayiwFAchRZAKAIZfuNc9o/OZJNvvLy8jwkAQDSwt6zlr0HAGhodrG17GIAkBxFFgAoQtl+45z2iwjZfFrHRQQAKG72nrXsPQBAQ7OLrWUXA4DkKLIAQBEq1osIbusKAPw7e89a9h4AoKHZxdayiwFAchRZAKAIZfuN8+rVqxNOkqxs8rmIAADFzd6zlr0HAGhodrG17GIAkBxFFgAoQhUVFVnNVVdXJ5wkWcuXL894Jts/CwCgcbD3rGXvAQAaml1sLbsYACRHkQUAitBGG22U1Vw236Q3pGwucmT7ZwEANA72nrXsPQBAQ7OLrWUXA4DkKLIAQBFq0aJFVp8CSftFhGzyuYgAAMXN3rOWvQcAaGh2sbXsYgCQHEUWAChS2XzzXIy3dW3Xrl0ekgAAaWLv+YK9BwAoBLvYF+xiAJAcRRYAKFLZfPP82WefJR8kQUuXLs14pn379skHAQBSxd7zBXsPAFAIdrEv2MUAIDmKLABQpLL5NMzHH3+chyTJySaf27oCQPGz93zB3gMAFIJd7At2MQBIjiILABSpzp07ZzzzySef5CFJcrLJl82fAwDQuNh7vmDvAQAKwS72BbsYACRHkQUAilTXrl0znkn7RYRsPg2TzZ8DANC42Hu+YO8BAArBLvYFuxgAJEeRBQCKVDbfPC9atCgPSZKzePHijGdcRACA4mfv+YK9BwAoBLvYF+xiAJAcRRYAKFLZfPP8/vvv5yFJMlasWJHxRYRmzZrFpptumqdEAEBa2HvsPQBA4djF7GIAkDRFFgAoUptvvnnGM5988klUV1fnIU3usrnAsckmm0RZWVke0gAAaWLvsfcAAIVjF7OLAUDSFFkAoEhtuummUV5envHce++9l4c0ucvmIsIWW2yRhyQAQNrYe+w9AEDh2MXsYgCQNEUWAChSZWVlsdVWW2U8N2fOnDykyV02uXr37p2HJABA2th77D0AQOHYxexiAJA0RRYAKGLZfBM9Y8aMPCTJ3fTp0zOecREBAJoOe4+9BwAoHLuYXQwAkqTIAgBFrE+fPhnPZPPNekPI5uJGNl8/ANA42XvsPQBA4djF7GIAkCRFFgAoYtl8E/32229HXV1dHtJkb8mSJfHRRx9lNNOyZcvYcsst85QIAEgbe4+9BwAoHLuYXQwAkqTIAgBFbNttt42KioqMZpYvXx5vv/12nhJlZ8qUKRnPbL/99lFaatUBgKbC3mPvAQAKxy5mFwOAJPkvKwAUsYqKithxxx0znnvppZfykCZ7L7/8csYzu+66ax6SAABpZe8BACgcuxgAkCRFFgAocrvsskvGM9l8055P//jHPzKecREBAJoeew8AQOHYxQCApCiyAECR22233TKeefXVV6OqqioPaTI3a9asWLBgQUYz7dq1y+rZzABA42bvAQAoHLsYAJAURRYAKHK9e/eOjTfeOKOZmpqaePrpp/OUKDPjx4/PeGaXXXbxbGIAaILsPQAAhWMXAwCS4r+uAFDkSkpKYr/99st4Lptv3vPhySefzHhm2LBheUgCAKSdvQcAoHDsYgBAUhRZAKAJOOiggzKe+cc//hHz58/PQ5oN9/LLL2d8S9e2bdvGHnvskadEAEDa2XsAAArHLgYAJEGRBQCagP79+8fmm2+e0UxdXV3cd999eUq0Ye65556MZ/bbb79o3rx5HtIAAI2BvQcAoHDsYgBAEhRZAKCJyOYTMY888kgsXbo0D2nWb/bs2fHiiy9mPHfwwQfnIQ0A0JjYewAACscuBgDkSpEFAJqIo446KsrKyjKaqa6ujttuuy1Pidbtuuuui/r6+oxmttlmmxg4cGCeEgEAjYW9BwCgcOxiAECuFFkAoInYZJNNsvpEzAMPPBBz585NPtA6TJ48OSZNmpTx3AknnJCHNABAY2PvAQAoHLsYAJArRRYAaEK+//3vR0lJSUYztbW1cdlll8WaNWvylOrLqqqq4qqrrsp4brPNNothw4blIREA0BjZewAACscuBgDkQpEFAJqQrbbaKvbaa6+M56ZNmxa33HJLHhL9p8svvzwWLFiQ8dzxxx+f8W1rAYDiZe8BACgcuxgAkAtFFgBoYn74wx9GeXl5xnN33nlnPPHEE3lItNbYsWNjwoQJGc/16tUrjjrqqDwkAgAaM3sPAEDh2MUAgGwpsgBAE9O9e/f43ve+l/FcfX19jB49Oqtv8jfEXXfdlfUnbs4991yfhAEA/oO9BwCgcOxiAEC2FFkAoAn6wQ9+EJtssknGc7W1tfHzn/88xo4dG/X19YlkWbVqVVx++eVx/fXXZzW/7777xi677JJIFgCg+Nh7AAAKxy4GAGSjpD6pDQAA8uiWW26JsWPHFjpG3px66qkxcuTIBn3PyZMnxznnnJP1xYBBgwbFueeeG1tvvXXWGaZMmRL//d//He+8805W8x06dIg//vGP0alTp6wzAEDa2HuSZ+8BADaUXSx5djEAIFPuyAIATdTgwYPjxBNPzHp+ypQp8b3vfS9++ctfxiuvvLLBFyPWrFkTzz77bJxzzjkxatSorC8glJaWxmWXXeYCAgCwXvYeAIDCsYsBAJnyID8AaMJGjRoVr776arz66qtZzdfV1cXjjz8ejz/+eHTp0iV23HHH2G677aJr167Rtm3baNmyZVRVVUVVVVXMnTs3pk+fHq+++mosXbo05+wnn3xy7LrrrjmfAwA0DfYeAIDCsYsBAJlQZAGAJqysrCyuuuqqOPXUU+O9997L6ayPPvoonnzyyXjyyScTSvf1hg0bFqeddlre3wcAKB72HgCAwrGLAQCZ8GghAGjiOnbsGL/97W+ja9euhY6yQfbcc8+47LLLorTUGgMAZMbeAwBQOHYxAGBD+a8vABBdunSJm266KTbddNNCR1mnwYMHx1VXXRVlZW4qBwBkx94DAFA4djEAYEMosgAAERHRrVu3uPvuu2OnnXYqdJSv9N3vfjeuvfbaaN68eaGjAACNnL0HAKBw7GIAwPoosgAA/9ShQ4f47W9/G8ccc0yho/xTRUVFjB49Os4991yfggEAEmPvAQAoHLsYALAuiiwAwJeUlZXFBRdcENdff31sscUWBc2y2267xb333huHHnpoQXMAAMXJ3gMAUDh2MQDg6yiyAABfaff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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 1112,
       "width": 1113
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
    "\n",
    "ax.errorbar(tbl['r'], tbl['Menc'], yerr=(tbl['Menc_err_neg'],\n",
    "                                         tbl['Menc_err_pos']),\n",
    "            marker='o', markersize=2, color='k', alpha=1., ecolor='#aaaaaa',\n",
    "            capthick=0, linestyle='none', elinewidth=1.)\n",
    "\n",
    "ax.set_xlim(1E-3, 10**2.6)\n",
    "ax.set_ylim(7E6, 10**12.25)\n",
    "\n",
    "ax.set_xlabel('$r$ [kpc]')\n",
    "ax.set_ylabel('$M(<r)$ [M$_\\odot$]')\n",
    "\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3b82a83",
   "metadata": {},
   "source": [
    "We now need to assume some form for the potential. For simplicity and within\n",
    "reason, we'll use a four component potential model consisting of a Hernquist\n",
    "([1990](https://ui.adsabs.harvard.edu/#abs/1990ApJ...356..359H/abstract))\n",
    "bulge and nucleus, a Miyamoto-Nagai\n",
    "([1975](https://ui.adsabs.harvard.edu/#abs/1975PASJ...27..533M/abstract))\n",
    "disk, and an NFW\n",
    "([1997](https://ui.adsabs.harvard.edu/#abs/1997ApJ...490..493N/abstract))\n",
    "halo. We'll fix the parameters of the disk and bulge to be consistent with\n",
    "previous work ([Bovy\n",
    "2015](https://ui.adsabs.harvard.edu/#abs/2015ApJS..216...29B/abstract) -\n",
    "please cite that paper if you use this potential model) and vary the scale\n",
    "mass and scale radius of the nucleus and halo, respectively. We'll fit for\n",
    "these parameters in log-space, so we'll first define a function that returns a\n",
    "`gala.potential.CCompositePotential` object given these four parameters:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "abc023e6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:29.444610Z",
     "iopub.status.busy": "2023-08-05T14:52:29.444124Z",
     "iopub.status.idle": "2023-08-05T14:52:29.449866Z",
     "shell.execute_reply": "2023-08-05T14:52:29.449272Z"
    }
   },
   "outputs": [],
   "source": [
    "def get_potential(log_M_h, log_r_s, log_M_n, log_a):\n",
    "    mw_potential = gp.CCompositePotential()\n",
    "    mw_potential['bulge'] = gp.HernquistPotential(m=5E9, c=1., units=galactic)\n",
    "    mw_potential['disk'] = gp.MiyamotoNagaiPotential(m=6.8E10*u.Msun, a=3*u.kpc, b=280*u.pc,\n",
    "                                                     units=galactic)\n",
    "    mw_potential['nucl'] = gp.HernquistPotential(m=np.exp(log_M_n), c=np.exp(log_a)*u.pc,\n",
    "                                                 units=galactic)\n",
    "    mw_potential['halo'] = gp.NFWPotential(m=np.exp(log_M_h), r_s=np.exp(log_r_s), units=galactic)\n",
    "\n",
    "    return mw_potential"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a28de80",
   "metadata": {},
   "source": [
    "We now need to specify an initial guess for the parameters - let's do that (by\n",
    "making them up), and then plot the initial guess potential over the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ea4f0310",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:29.452767Z",
     "iopub.status.busy": "2023-08-05T14:52:29.452126Z",
     "iopub.status.idle": "2023-08-05T14:52:29.461963Z",
     "shell.execute_reply": "2023-08-05T14:52:29.461396Z"
    }
   },
   "outputs": [],
   "source": [
    "# Initial guess for the parameters- units are:\n",
    "#     [Msun, kpc, Msun, pc]\n",
    "x0 = [np.log(6E11), np.log(20.), np.log(2E9), np.log(100.)]\n",
    "init_potential = get_potential(*x0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "95afbd28",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:29.464832Z",
     "iopub.status.busy": "2023-08-05T14:52:29.464280Z",
     "iopub.status.idle": "2023-08-05T14:52:30.295080Z",
     "shell.execute_reply": "2023-08-05T14:52:30.294323Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4uk8cuW+v5LkAAG2FIgsAAAAAAMAO7pu+PF5/d0Py3EOH9YjT9u+XPBcAoC1RZAEAAAAAAPib5+auiT/PWpk8d1T/LnHeIQMjk8kkzwYAaEsUWQAAAAAAACJizvJNcdfUJclz9+rRKT7zoSFRkOdlGQCAunjEBAAAAAAAtHurNlXEjc+/E7XZbNLcXiXF8YWjh0VxQX7SXACAtkqRBQAAAAAAaNfKK2vi139ZEFsqa5LmlhQXxGXHDIsuHQqS5gIAtGUeOdHiLFmyJObOnRvz5s2LFStWRFlZWWzevDm2bNkSRUVFUVJSEiUlJdG9e/fYe++9Y/jw4TFs2LAoKPDXGQAAAACAhqmpzcbk59+JlZsqkuYW5ufFpUcPi95dipPmAgC0dV75p1lVVVXFc889F3/5y1/i6aefjilTpkR5eXmDc/Lz82P//fePY445Jo4++ug49thjo1u3bukHBgAAAACgTfnTtGUxe/mmpJmZyMSnD98r9urZKWkuAEB7oMhCs3j66afjd7/7Xdx9992xfv367Z/PNvLs0erq6njttdfi9ddfj5/97GdRWFgYJ510Ulx44YXx0Y9+NDp06JBocgAAAAAA2ooX5q2Jp95alTz3YxP6xwGDuibPBQBoDxRZaDJVVVVx4403xg9/+MNYsGBBRHywuJLJZBqdn81mt+dVVlbGAw88EA888ECUlpbGFVdcEV/+8pejV69ejf8GAAAAAABoM+au3Bx3TV2SPPeofXvFMft5LhoAoLHymnsA2r7a2tr4+c9/HnvvvXdcfvnlMX/+/O2lk0wm856PiL8XUhryEREfyNr2tQ0bNsR///d/x9ChQ+NrX/vae3aAAQAAAACg/VmzuTJufO6dqK5t3C7huzK6f2mcNWHAHr1pEwCgvVNkIaeef/75mDBhQnz5y1+OJUuWfKC8EvHB4kpj1FVsyWazsWXLlvjpT38aI0eOjFtuuSXZ9wgAAAAAQOtRUV0TNzyzIDZXVCfNHdS9Y0z60F6Rn6fEAgCwJxRZyImtW7fGF77whTj66KNjxowZ7ymwRESdxZX3766yu4+d2VWpJZvNxsqVK+Piiy+OE044IZYsSb9tJAAAAAAALVM2m41bpyyOZRu2Js3t1rEwLjlqWBQX5CfNBQBojxRZSO6tt96KQw89NH7zm99EbW3t9hJLROyyvLKrckpdxwnt7t73Z+x4bTabjSeffDImTJgQjz76aOofAQAAAAAALdATs1fFa++uT5pZXJAXXzh6WHTrVJg0FwCgvSpo7gFoW+6888743Oc+F2VlZR8osOzM+0srO35+4MCBsc8++0SPHj2ipKQkOnfuHBUVFbF58+bYuHFjzJ8/PxYuXBhVVVXvuW9XmTsrs6xevTpOPfXU+H//7//Fv//7v6f5IQAAAAAA0OLMXrYp7pu2PGlmJjLx6cOHxMDuHZPmAgC0Z4osJHPNNdfEV7/61aitrY2I2G2J5f1fKy4ujhNOOCGOOeaYOOaYY2LcuHFRXFxc55q1tbUxZ86c+Mtf/hJPP/10PPTQQ7F+/frta+xshh0LLdsy/vM//zPefffduOGGG3Z5XBEAAAAAAK3T6s0VcdML70Q2dv6my8Y6Y1y/GDuwNGkmAEB7p8hCEv/2b/8W//Vf/1XnLizv/9rEiRPj85//fJx77rnRtWvXBq+bl5cXI0eOjJEjR8YXvvCFqKysjAcffDBuvPHGuP/++7fPs20Hlh29/2s33nhjrF27Nm677bYoKipq8CwAAAAAALQ8FdU18Ztn34ktlTVJcw8Z2j2OH9k7aSYAABF5zT0Ard+VV17Z4BLL8ccfH3/+85/jhRdeiM997nONKrHsTFFRUXzsYx+Le++9N2bMmBEXXnjh9nXff+zQjnNuK7Pce++98bGPfSxqatL+QgMAAAAAQNPLZrNx20uLY+n68qS5Q3t2ivMOGWSHbwCAHFBkYY9cffXV8aMf/Sgidn2U0I67ngwcODDuvvvuePzxx+O4447L6WyjRo2K3/72t/Hiiy/GhAkTPnCk0DbZbHZ7CSebzcYjjzwSF198cU5nAwAAAAAg9556a3W8umh90sxunQrjc0cOjcJ8L7EAAOSCR1k02m9/+9v45je/+Z4Cy85KLNu+9tnPfjZmzZoVZ511VpPOefDBB8fLL78c3//+9yM/P/89c+1oxzLLrbfeGl/5yleadE4AAAAAANKZs2Jz3Pv6sqSZRfl5cclRw6K0Y2HSXAAA/k6RhUZ55ZVX4pJLLtn+593twtKhQ4e48cYb43//93+jc+fOTT3q9nm++c1vxhNPPBH9+/ff/rn327HMcs0118SNN97Y1KMCAAAAALCH1m2pjJuefyeyka374ga46LC9YlD3jkkzAQB4L0UWGmzDhg1x3nnnRWVlZUTsvMSy7fM9evSIJ598ssUc1XPkkUfGSy+9FKNGjdpeWtmZbWWWf/zHf4yZM2c28ZQAAAAAADRWdW1t3PT8othcUZ0099Sx/WLc4K5JMwEA+CBFFhrss5/9bCxYsGCnJZAdSyyDBg2KZ555Jg499NCmHnG3BgwYEM8880xMnDhxp2WWbcWcTCYTW7ZsiY9//ONRXl7eHKMCAAAAANBA901bHgtWlyXNHDeoa5w0pk/STAAAdk6RhQa5884745577nlPYWWbHT/Xp0+feOKJJ2LUqFHNMmddunfvHo8++miMHz9+t2WWiIjZs2fHd77znSaeEAAAAACAhpr27oZ46q1VSTP7lXaICyYO3uUO3wAApKXIQr1t3rw5vvrVr9ZZYunSpUs8+OCDMXz48GaZs766dOkSDz30UOyzzz4REbvcYSabzcZPf/pTRwwBAAAAALRgqzZVxO+nvJs0s0NhfnzuyKHRoTA/aS4AALumyEK9fec734klS5ZExHtLLNts29nkt7/9bRx44IFNPV6j9O3bN+6///7o3LlzRLy3zLLj91hVVRVf/OIXm3w+AAAAAADqVlldG//33Duxtbomae6nD98r+pQWJ80EAGD3FFmol2XLlsW11167211LMplMfPnLX44zzzyzGSZsvBEjRsSvfvWr3ZZzIiKeeeaZePjhh5t6PAAAAAAA6nDX1CWxdH150sxTx/aLMQNKk2YCAFA3RRbq5eqrr46KioqI+OCRQtvKHuPGjYsf/vCHzTXiHrngggviU5/61HuKK++XzWbje9/7XhNPBgAAAADA7rw4f21MWbA2aeb+A0vjpDF9kmYCAFA/iizUae3atXH99dd/oOCx458zmUz88pe/jPz81ntO6NVXXx09evSIiA8eMbTtz88991w8/fTTzTIfAAAAAADvtXhdedw1dUnSzD5diuPCw/ba5ZseAQDILUUW6nTjjTdGWVlZRMQHjt/ZVvL47Gc/GxMnTmyO8ZLp1atX/Nd//ddOjxja0XXXXddEEwEAAAAAsCtbq2pi8vPvRFVNbbLMDgX58fmjhkbHwtb7pk0AgNZOkYU6/e53v/vA53ZsohcWFsb/+3//rylHypnPf/7zMWTIkIiIne5Ak81m47777ouNGzc2x3gAAAAAAPzNXVOXxKpNFUkzL5g4OPqWdkiaCQBAwyiysFszZ86M119/fXuJY0fbdmO56KKLYvDgwc00YVr5+fnxzW9+c6ff6zYVFRVx5513NvVoAAAAAAD8zUsL1sbLC9clzTxuZO8YN7hr0kwAABpOkYXdqk9h48tf/nLuB2lCn/3sZ6O0tDQiPrgryzaKLAAAAAAAzWPlxoq4a+qSpJnDenWO0w/olzQTAIDGUWRht5588skPfG7H3VnGjh0bY8eObeqxcqq4uDjOPvvsD+zKEvH37/25556LmpqaZpgOAAAAAKD9qqqpjcnPvxMV1bXJMkuKC2LSEUOiIM9LJgAALYFHZexSRUVFTJkyZZe7kmQymbjggguaeKqmcdFFF33gczsWW7Zs2RKvvPJKU44EAAAAANDu3fv6sliyvjxZXiYycfHhe0W3ToXJMgEA2DOKLOzSlClToqKiIiJip7uTREScdNJJTTlSkznqqKOiQ4cOEbHr44X+8pe/NOVIAAAAAADt2rTFG+KZt1cnzTxl/76xX78uSTMBANgziizs0htvvPGBz+1Y6igtLY3x48c34URNp7CwMA477LBdFngiIqZPn96EEwEAAAAAtF9ryyrj1invJs0c1b9LnDS6T9JMAAD2XEFzD0DLNXfu3J1+PpvNRiaTiYkTJ+5yt5I9cfzxxzf4nj59+sRtt92WdI4jjjginnrqqV1+fVc/HwAAAAAA0qmurY2bX1gU5VU1yTK7dyqKTx22V06e4wYAYM8osrBLdRU19ttvv5ys+9RTTzXol4dsNhuDBg1KPseIESN2+vlMJhPZbDbefvvt5GsCAAAAAPBej765MhasLkuWV5CXic98aEh0LvYSCQBAS+RoIXbpnXfe2e3X991335yun81m6/WRKzv7/nZcb926dVFWlu6XJwAAAAAA3mv+qrJ49M2VSTPPGNc/hvTslDQTAIB0FFnYpY0bN+52Z5Rc7IKyo0wmU6+PXKnP97dx48acrQ8AAAAA0J6VV9XEb19cFNlI94bGMQNK45j9eiXLAwAgPfvmsUubN2/e7ddLSkpyun5du63k+uzS+nx/dmQBAAAAAMiNu6cuibVllcnyunUsjAsmDs75c8sAAOwZO7KwS81dZGlunTt3rvOaun5GAAAAAAA03KuL1sfLC9cly8tEJj51+F5RUuz9vQAALZ0iC7tU144oeXlt+69Pfb6/un5GAAAAAAA0zLotlXHHy4uTZp48tk8M79O235wJANBWtO0mAnukrh1X2vpuJPX5/uqzawsAAAAAAPVTm83GLS+8G+VVNckyh/cuiZPG9E2WBwBAbimysEt1lTTKysqaaJLmUZ/vr60frwQAAAAA0JSemLUq5q5K9ybKkuKC+NThe0VeJpMsEwCA3HIYJLvUpUuX3X59yZIlOV0/08y/WCxdurTOa+r6GQEAAAAAUD/vrt0SD81YnjTzgomDo1unwqSZAADklh1Z2KXBgwdHNpvd5dfnzp3bhNM0vZ19fzuWa7p06aLIAgAAAACQQGV1bfz2xXejunbXz0k31HEjeseYAaXJ8gAAaBp2ZGGXhg8fHo8++uguv/7222/nZN399tuvwbux9OvXL/kcc+bM2ennt5V7hg8fnnxNAAAAAID26L7py2LFxq3J8gZ17xinHZD+eWMAAHJPkYVd2nfffXf6+UwmE9lsNqZMmZKTdWfPnp2T3IZ68cUXd/m1TCazy58PAAAAAAD1N2fF5vjLnNXJ8grz8+JTh+0Vhfk2pQcAaI08imOXRo8e/YHP7XjU0OrVq2PWrFlNOVKTqa2tjeeee263O8Ps7OcDAAAAAED9lVfVxK0vvZs086Pj+0e/rh2SZgIA0HQUWdilww8/PPLz8yMidlnoePzxx5typCbz0ksvxaZNmyLiveWdHR111FFNORIAAAAAQJvzx9eWxtqyymR5o/uXxpHDeybLAwCg6SmysEslJSVx4IEH7rLIERFx6623NuFETWdn39eOZZ6ioqI4/PDDm3IkAAAAAIA25c2lG+PF+WuT5ZUUF8QFEwftdqdtAABaPkUWduvYY4/9wOey2WxkMpnIZrMxZcqUWLBgQdMPlkM1NTVx++237/SXnW3f+6GHHhrFxcXNMB0AAAAAQOtXVlEdt720OGnmBRMHR5cOhUkzAQBoeoos7NbZZ59d5zXXXXddE0zSdO68885YuXJlROz6WKGzzjqrKUcCAAAAAGhT7pq6JDZurUqWd+TwnjFmQGmyPAAAmo8iC7s1ceLE2GeffSIiPrBDybZdWX71q1/F2rXptn9sbt/73vc+8Lkdv/f8/Py44IILmnIkAAAAAIA247VF6+PVReuT5fUt7RAfHT8gWR4AAM1LkYU6XXDBBR/YmWTHP2/ZsiV+9KMfNfVYOXHXXXfFjBkztpd0drTtWKHjjz8++vTp00wTAgAAAAC0XhvLq+LOV5YkyyvIy8SnDhscRQVe7gAAaCs8sqNOn//856OgoCAidr0ry09+8pOYM2dOc4yXzJYtW+JrX/vaB77H97v88subaCIAAAAAgLYjm83G7S8vjrLK6mSZJ4/tF4N7dEqWBwBA81NkoU6DBw+OCy+8cLe7slRWVsYXv/jFph4tqX//93+Pd999NyLe+73tuDvL6NGj46Mf/WizzAcAAAAA0Jq98s76mLF0Y7K8oT07xfEjeyfLAwCgZVBkoV6+9a1vRV7eX/+67LhjybbjdiIinnzyybj66qubZb499cQTT8RPfvKT3e7Gkslk4lvf+lYTTgUAAAAA0DZsLK+KP7ya7kihwvy8uHDiXpGft/sdtgEAaH0UWaiX/fbbb6e7smyzbdeSf/mXf4kXXnihiafbM8uXL48LL7wwamtrI2Lnu7FkMpkYPXp0nH/++c01JgAAAABAq3XX1CWxpbImWd4Z4/pHn9LiZHkAALQciizU249+9KPo2rVrRHxwV5Ztn6uqqopzzz033nnnnWaZsaG2bNkSH/vYx2LFihXvOUJoZ6677rrd7tgCAAAAAMAHvf7u+pi2eEOyvH37lMTR+/ZMlgcAQMuiyEK99enTJ7773e/utOyxY5ll2bJlcdJJJ8WqVauaesQGqa6ujrPPPjteeumlnRZUdtyN5dOf/nQcddRRzTAlAAAAAEDrtbmiOu58Jd2RQh0K8uOCiYO96RAAoA1TZKFBvvjFL8YRRxyxveCxox0LLm+//XacdNJJsXLlyqYesV6qqqrivPPOi0cffXT79/H+I4W26devX/z4xz9u8hkBAAAAAFq7e15dGpsrqpPlnXXggOjRuShZHgAALY8iCw2SyWTitttui549e27/8452LLhMmzYtjjzyyFi4cGFTj7lbZWVlccopp8Qf//jH3ZZYstlsFBQUxO9///vt3y8AAAAAAPUzY8nGeOWddcnyxgwojYnDuifLAwCgZVJkocEGDRoUN9988/Y/767MMnfu3Dj88MPj6aefbtIZd2XevHlx5JFHxpNPPrm9vLKro5IymUz8+7//exxzzDFNPSYAAAAAQKtWXlkTd7yyOFle56KCOO+QQY4UAgBoBxRZaJRTTjklrrrqqp2WQCL+XgTJZDKxYsWK+PCHPxz//d//3cRTvtddd90VBx98cEyfPn37fO+ff9vnMplMnHXWWfGv//qvzTQtAAAAAEDr9cfXl8aG8qpkeecePDC6dixMlgcAQMulyEKj/cu//Ev8wz/8w3t2YNnRtpJIJpOJmpqa+Pa3vx0TJ06M1157rUnnXLJkSZx77rlx3nnnxYYNG3ZbYtn2P4899ti49dZbm3ROAAAAAIC2YPayTfHi/LXJ8sYN6hoH7tUtWR4AAC2bIgt75JprronzzjuvXmWWbDYbL7/8chx66KHxhS98IebPn5/T2datWxff+c53YtSoUXHPPfe8Z5eYXZVYstlsTJgwIe69994oLNTuBwAAAABoiIrqmrg98ZFCHz94YLI8AABaPkUW9tgtt9wSF1544XuKIjvascwSEVFTUxO/+c1vYuTIkXHRRRfFk08+mXSe6dOnx1e/+tUYMmRIXHXVVbF58+b3FG12V2I59NBD49FHH42SkpKkMwEAAAAAtAcPvbEi1pZVJss7+8AB0aWDNx0CALQnBc09AK1ffn5+/Pa3v42ePXvGNddcs9NdT95fZslms1FdXR233npr3HrrrTFgwIA466yz4phjjomjjz46evfuXe/1t2zZEs8//3w8/fTTce+998abb765yzXfb8evffjDH4577rknOnfu3IifAgAAAABA+7Zo7ZZ46q3VyfLGDCiNg4Z0S5YHAEDroMhCMj/96U+jf//+8a//+q/bd0B5f3nk/bu2bPv6kiVL4tprr41rr702IiL69+8fw4cPj3322Sd69uwZnTt3js6dO0dFRUWUlZXFhg0bYsGCBTF37txYuHBh1NTUvCcvIt6zM0xdJZYLL7ww/u///s9xQgAAAAAAjVBTm43bX14c2fjgc7GN0aEwPz5x8KCdHmkPAEDbpshCUldeeWUccsghceGFF8aKFSt2uhvKjjul7KpssnTp0li2bFk888wzu11vdwWVur6ezWajuLg4fvKTn8Rll11Wn28PAAAAAICdeHrO6li8rjxZ3lkTBkS3Tt54CADQHuU19wC0Pccff3y8/vrrccIJJ+yytBLx1yLJto8dr9nxaKK6Pt5/z/vv29H7d4LZb7/94vnnn1diAQAAAADYA2s2V8aDbyxPljeib5eYOKx7sjwAAFoXRRZyom/fvvHYY4/FzTffHH369NltoSUiPlBQ2fHa3X3s7P73e3+BpaioKL7zne/E9OnTY8KECbn49gEAAAAA2oVsNht3vLI4qmpqk+QVF+TFJw91pBAAQHumyEJOXXTRRfHWW2/Fl770pejQocNOSyo7U5/dWHZXXtlxjW15EREf+9jHYsaMGfFv//ZvUVRUlIPvGAAAAACg/Zj6zvqYvXxTsrwzx/WPHp09dwsA0J4pspBzpaWl8ZOf/CTeeeed+Od//ucoLS3d5c4re2Jnu7Vks9nIy8uLCy64IKZPnx5/+MMfYp999tnj7wkAAAAAoL0rq6iOe15bmixveO+S+NDwnsnyAABonRRZaDK9evWK733ve7F48eK48cYb48QTT4y8vLwGHye0u2OGdtylZezYsfH9738/Fi5cGLfcckuMGTOmOb99AAAAAIA25Y+vL4vNFdVJsgryHCkEAMBfFTT3ALQ/nTt3josvvjguvvjiWLFiRTz00EPx9NNPx1/+8pdYsGBBo3N79uwZRx55ZBxzzDFx0kknxejRoxNODQAAAADANnOWb4qXFqxNlveRMX2id5fiZHkAALReiiw0q759+8akSZNi0qRJERGxcuXKmDNnTsydOzfmzZsXy5cvj7Kysti8eXNs2bIlioqKoqSkJEpKSqJ79+6x9957x7777hv77rtvDBs2rHm/GQAAAACAdqCqpjbumLokWV7/rh3i+FG9k+UBANC6KbLQovTp0yf69OkTRx55ZHOPAgAAAADATjwxa1Ws2lSRJCsTmfjkIYOiIC8vSR4AAK2fR4YAAAAAAEC9rNpUEY/OXJks78h9e8bQXp2T5QEA0PopsgAAAAAAAHXKZrNx19QlUV1bmySvW8fCOO2AfkmyAABoOxRZAAAAAACAOr3+7oaYvXxTsrxzDx4YHQvzk+UBANA2KLIAAAAAAAC7VV5VE/e8tjRZ3rhBXWP/gV2T5QEA0HYosgAAAAAAALv18IwVsaG8KklWx8L8OOeggUmyAABoexRZAAAAAACAXVq8rjyefmt1srwzxvWPrh0Lk+UBANC2KLIAAAAAAAA7lc1m485XFkc2sknyhvXqHEfs0yNJFgAAbZMiCwAAAAAAsFPPz1sbC9dsSZKVl8nEJw4eGJlMJkkeAABtkyILAAAAAADwAZu2Vsf905clyztmRK8Y0K1jsjwAANomRRYAAAAAAOAD7p++LLZU1iTJ6tapME4Z2zdJFgAAbZsiCwAAAAAA8B4LV5fFi/PXJss7+8CBUVyQnywPAIC2S5EFAAAAAADYrjabjbteXZosb8yA0jhgYGmyPAAA2jZFFgAAAAAAYLsX5q2Nd9duSZJVmJ8X5xw4MDKZTJI8AADaPkUWAAAAAAAgIiLKKqrjgenLk+WdNLpP9CwpSpYHAEDbp8gCAAAAAABERMSDbyyPssrqJFl9SzvE8aN6J8kCAKD9UGQBAAAAAADi3bVb4rm5a5PlnXvQwCjI8zIEAAAN4xEkAAAAAAC0c9lsNu56dWlkI5sk75Ch3WO/viVJsgAAaF8UWQAAAAAAoJ17aeG6WLi6LElWx8L8+Oj4/kmyAABofxRZAAAAAACgHSuvrIk/vb4sWd4p+/eLLh0Kk+UBANC+KLIAAAAAAEA79vCbK2JzRXWSrAHdOsaRw3smyQIAoH1SZAEAAAAAgHZq2Yat8Zc5q5PlnXPggMjPyyTLAwCg/VFkAQAAAACAdiibzcYfXl0StdlskryDhnSP4X1KkmQBANB+KbIAAAAAAEA7NGPpxpizYnOSrOKCvPjo+P5JsgAAaN8UWQAAAAAAoJ2pqqmNP762NFneyWP7RdeOhcnyAABovxRZAAAAAACgnXn6rdWxenNlkqy+pR3i6P16JskCAABFFgAAAAAAaEc2lFfFozNXJMs758ABUZDn5QYAANLwyBIAAAAAANqR+6cvj4rq2iRZ4wd3jRH9uiTJAgCACEUWAAAAAABoNxat2RIvLVibJKswPy8+Nn5AkiwAANhGkQUAAAAAANqBbDYbd7+6JFneiaP7RPfORcnyAAAgQpEFAAAAAADahanvrI+Fa7YkyerRuSiOH9k7SRYAAOxIkQUAAAAAANq4iuqa+NO0ZcnyPjZ+QBTme4kBAID0PMoEAAAAAIA27vGZq2JDeVWSrH37lMQBg0qTZAEAwPspsgAAAAAAQBu2tqwynpi9KklWJjJx9oEDIpPJJMkDAID3U2QBAAAAAIA27L5py6K6tjZJ1oeG94gB3TomyQIAgJ1RZAEAAAAAgDZq4eqyeHXR+iRZnYry49T9+yXJAgCAXVFkAQAAAACANiibzcY9ry1Nlnfy2H7RubggWR4AAOyMIgsAAAAAALRBry5aHwvXbEmS1a+0Q3xoeI8kWQAAsDuKLAAAAAAA0MZU1dTGfdOWJ8s7+8ABUZDnJQUAAHLPo04AAAAAAGhjnn5rdazbUpkka/+BpTGiX5ckWQAAUBdFFgAAAAAAaEM2ba2Kx2auTJJVkJeJj44fkCQLAADqQ5EFAAAAAADakAffWBFbq2uSZB29X6/o3aU4SRYAANSHIgsAAAAAALQRS9eXxwvz1ibJKikuiJNG902SBQAA9aXIAgAAAAAAbUA2m40/vrYsspFNknfK2L7RsSg/SRYAANSXIgsAAAAAALQBs5ZtirdWbEqS1a+0Qxy+T88kWQAA0BCKLAAAAAAA0MrV1Gbj3teXJcv76IT+kZ+XSZYHAAD1pcgCAAAAAACt3Ivz18byjVuTZI3s1yVG9y9NkgUAAA2lyAIAAAAAAK3Y1qqaeGjG8iRZmcjExyYMSJIFAACNocgCAAAAAACt2BOzV8WmrdVJso4Y3iP6d+2QJAsAABqjoLkHaG4333xzc49AYp/+9KebewQAAAAAgCaxobwqnpy9KklWh8L8OGVsvyRZAADQWO2+yDJp0qTIZDLNPQYJKbIAAAAAAO3FQ28sj8qa2iRZJ43uE106tPuXDQAAaGYekf5NNptt7hFIQCkJAAAAAGgvlq4vjxfnr0uS1bNzURy9X68kWQAAsCcUWf5GAaL1U0YCAAAAANqTP01bFtlI87zoGeP6R2F+XpIsAADYE4osf6ME0bopIgEAAAAA7cmc5Zti1rJNSbKG9uoc4wd3TZIFAAB7Sr0aAAAAAABakWw2G/dOW5Ys76Pj+nuzIAAALYYiCwAAAAAAtCKvvLM+Fq8rT5I1blDX2Lt35yRZAACQgiILAAAAAAC0ElU1tXH/9DS7seRnMnHGuP5JsgAAIBVFFgAAAAAAaCWefmt1rN9SlSTrQ/v2jN5dipNkAQBAKoosAAAAAADQCpRVVMfjs1YmyepQmB8fGdM3SRYAAKSkyAIAAAAAAK3A47NWRnlVTZKsE0f1iZLigiRZAACQkiILAAAAAAC0cOu2VMZf5qxJktWtU2EcM6JXkiwAAEhNkQUAAAAAAFq4h2esiOra2iRZpx/QPwrzvTwAAEDL5JEqAAAAAAC0YMs3bI0p89clyRrUvWMcPKRbkiwAAMgFB2A2UiaTae4RAAAAAABoB+6fviyykU2S9dHxAzy/DQBAi6bI0kjZbJpfGgAAAAAAYFfmryqLN5ZsTJI1un9p7Ne3JEkWAADkiiJLA2Qymchms5HJZGLAgAFx0UUXxaRJk2LEiBHNPRoAAAAAAG1MNpuN+6cvS5KViUycMa5fkiwAAMilvOYeoDXZtgtLNpuNpUuXxg9/+MMYPXp0HHHEEfHrX/86Nm5M04oHAAAAAICZyzbFvFVlSbIOGdY9BnTrmCQLAABySZGlkbLZ7PaPF198MS6//PLo169fnH/++fHII484eggAAAAAgEarzWbjvmlpdmMpyMuLU8f2TZIFAAC5psjSSJlMZvtHxF+LLVu3bo077rgjTj311Nhrr73iX/7lX+Ktt95q5kkBAAAAAGhtXl64LpZt2Jok66j9ekb3zkVJsgAAINcUWRppxx1Zdiy1bPvckiVL4gc/+EGMHj06DjvssLj++utjw4YNzT02AAAAAAAtXFVNbTz0xookWR0K8+PEUX2SZAEAQFNQZElgW3klInZaann55Zfji1/8YvTv3z/OP//8ePjhhx09BAAAAADATj03d02s21KZJOuEkb2jc3FBkiwAAGgKiix/s+2IoD2x4y4t2zJ3LLRsO3rotNNOi8GDB8e3vvWtmD179h6vCwAAAABA21BeWROPvrkySVbXjoVxzIheSbIAAKCpKLLsYFvxJIW6jh5aunRp/PCHP4wxY8Y4eggAAAAAgIiI+PPslVFWWZ0k6yNj+kZxQX6SLAAAaCrtvsjyhz/8Ic4444woKCjYafEkBUcPAQAAAABQlw3lVfHUW6uTZPXpUhwT9+6eJAsAAJpSuy+yfOxjH4s//vGPsWTJkrj66qtj3Lhxuyye7ClHDwEAAAAAsCuPvLkiqmpqk2SddkC/KMhr9y8BAADQCnkU+ze9evWKr3zlK/Haa6/Fq6++Gv/4j/8YPXv23GnxJAVHDwEAAAAAsM3KjRXxwry1SbL26tEpxg3qmiQLAACamiLLTowfPz5+9rOfxdKlS+Ouu+6KM844I/Lz81vE0UOf/OQn46GHHnL0EAAAAABAG/LgG8ujNtHzvmeM65/s+WsAAGhqiiy7UVBQEGeffXbce++9sWTJkvjxj38cBxxwQLMePXTnnXfG6aefHoMGDYp//ud/jlmzZu3xugAAAAAANJ9Fa7bEa++uT5I1sl+X2K9vSZIsAABoDoos9dS7d+/46le/Gq+//npMnTo1rrjiiujRo0ezHT20bNmy+NGPfhRjx46NiRMnxq9+9atYv359krUBAAAAAGga2Ww2/jRtWbK8M8b1T5YFAADNQZGlESZMmBA///nPY+nSpdt3SNl29FBE2l1aIup39NAVV1wRAwYMiPPOO8/RQwAAAAAArcRbyzfH2ys3J8k6aEj3GNS9Y5IsAABoLoose6CwsDDOOeec+NOf/hSLFy+OH/3oRzFmzJgmP3po29e2bt0ad911l6OHAAAAAABagWw2G/dNT7MbS0FeJk7dv2+SLAAAaE6KLIn06dMnvva1r8X06dPj5Zdfji9+8YvRvXt3Rw8BAAAAALBTry5aH4vXlSfJOmJ4z+hVUpwkCwAAmpMiSw4cdNBB8Ytf/CKWLVsWd9xxR5x22mmOHgIAAAAAYLvq2tp48I3lSbKKC/LipNF2YwEAoG1QZMmhwsLCOPfcc+O+++6Ld999N37wgx/E6NGjHT0EAAAAANDOTZm/LlZvrkySddyI3tGlQ0GSLAAAaG6KLE2kb9++8Y1vfCPeeOONeOmll+Lyyy9vMUcPHXroofHLX/7S0UMAAAAAAE2gqqY2HnlzRZKskuKCOG5k7yRZAADQEiiyNIODDz44rr322li6dGncfvvtceqpp0ZeXl6zHT30yiuvxD/8wz9E//7947zzzosHH3wwamtrk6wNAAAAAMB7Pfv2mthQXpUk66QxfaNDYX6SLAAAaAkUWZpRUVFRfPzjH4/7778/3n333fj+978fo0aNarajhyoqKuKuu+6KM844IwYPHhxXXnllzJw5c4/XBQAAAADgr7ZW1cTjs1YmyerZuSg+NLxHkiwAAGgpFFlaiH79+sU3v/nNmDFjRkyZMiUuu+yy6NatW7MePfTjH/849t9/f0cPAQAAAAAk8vSc1bG5ojpJ1mkH9IuCPE/zAwDQtniE2wIdcsghcd1118WyZcvi1ltvjZNPPtnRQwAAAAAArdyWyup4cvaqJFmDuneMA/fqliQLAABaEkWWFqyoqGh7cWTRokXx3//93zFy5EhHDwEAAAAAtEJPzFoV5VU1SbJOP6B/sjc7AgBAS6LI0kr0798/rrzyynjzzTfjxRdfjEsvvTS6du3q6CEAAAAAgFZgY3lVPD1ndZKs4X1KYmS/kiRZAADQ0iiytELbiiPLli2L3//+9/GRj3xke8kkonmPHvrEJz4RDzzwgKOHAAAAAAB28NislVFZk+Z509P272c3FgAA2ixFllasuLg4PvnJT8ZDDz0UixYtiu9973sxYsSIZj166O67744zzzwzBg0aFN/85jfjzTff3ON1AQAAAABas3VllfH83DVJssYMKI29e3dOkgUAAC2RIksbMWDAgPjnf/7nmDlzZrzwwgtxySWXRGlpabMdPbR8+fK4+uqr44ADDohDDjkkrrvuuli3bl2StQEAAAAAWpNH3lwR1bXZJFmn7t8vSQ4AALRUiixt0MSJE+P666+P5cuXx+9+97s46aSTmvXooalTp8Y//uM/xoABA+LjH/+4o4cAAAAAgHZj1aaKmLIgzZv8JgzuFoO6d0ySBQAALZUiSxtWXFwc559/fjz88MOxaNGi+K//+q/Yd999m/XooT/84Q9x5plnxlVXXbXH6wEAAAAAtHQPzVgRtdk9340lE5k4Zf++CSYCAICWTZGlnRgwYEB861vfitmzZ8dzzz0Xn//855vt6KGIiJqamiTrAAAAAAC0VEvXl8er76xPknXIsO7Rt7RDkiwAAGjJFFnaocMPPzx+/etfx7Jly+KWW26JE088scmOHgIAAAAAaC8efGNFZGPPnxstyMvEyWPsxgIAQPugyNKOdejQIS644IJ45JFH4p133omrrroqhg8fnrOjhwAAAAAA2otFa7bEG0s2JMk6bO8e0bOkKEkWAAC0dIosRETEwIED41//9V/jrbfeimeffTY+97nPRZcuXXJ29BAAAAAAQFt2//TlSXIK8/PiJLuxAADQjiiy8AFHHHFE3HDDDbF8+fL47W9/GyeccEJOjx4CAAAAAGhL5q7cHG+t2JQk68h9e0bXjoVJsgAAoDVQZGGXOnToEBdeeGE89thjsXDhwvjP//zP2Geffbbv0rKt2AIAAAAAwF9ls9lku7F0KMiPD4/qkyQLAABaC0UW6mXQoEHx7W9/O+bMmRPPPPNMfO5zn4vS0lI7swAAAAAA7GDW8k2xYHVZkqxjRvSKkuKCJFkAANBaKLLQYN27d49u3bpFx44d7coCAAAAAPA32Ww2Hki0G0unovw4bkTvJFkAANCaqHJTL+vWrYvf//73cdNNN8XUqVPf8zVlFgAAAACAiOmLN8bideVJsk4Y2Sc6FuUnyQIAgNZEkYVdqq2tjYceeigmT54c999/f1RWViqtAAAAAADsRG02Gw++kWY3li4dCuKo/XomyQIAgNZGkYUPmDFjRkyePDl+97vfxcqVKyPivbuuZDKZ7f+7YgtAy1ddXR3l5eVRVFQUxcXFzT0OAAAAtElT31kfyzduTZJ14ui+UVxgNxYAANonRRYiImLt2rXxu9/9LiZPnhyvv/56RCivALQ2W7dujZdeeimmTp0aCxYsiAULFsTatWujoqJi+zX5+fnRtWvXGDJkSAwbNiwOOOCAOOKII6JHjx7NODkAAAC0btW1tfHwjDS7sXTvVBRH7OP3dAAA2i9FlnaspqYmHnjggZg8eXI8+OCDUVVVtcvySoQCC9B6LV++PGbNmhXz58+P6urq3V47YsSIOPbYY5tmsESmTp0at912Wzz33HNRWVm522trampi7dq1sXbt2njttdfiD3/4Q2Qymdh///3jE5/4RHz4wx+OggIPDwAAAKAhpsxfF6s37/538vo6eWzfKMzPS5IFAACtkVeq2qFp06bF5MmT4/e//32sXr06Iuy+ArQdy5Yti1mzZsWsWbNi9uzZMWvWrFi/fn297z/99NNbTZFlxowZ8aMf/SjefPPNPcrJZrMxffr0mD59elxzzTXxT//0T3HyyScnmhIAAADatqqa2njkzRVJsvp0KY5DhnZPkgUAAK2VIks7sXr16vjd734XN910U0ybNi0imq68srOdXfLzne8K7Lk9La20VpWVlfGTn/wk7rrrruT/zV65cmV8+9vfjnvuuSeuuuqq6NOnT9J8AAAAaGuefXtNbCivSpJ18ti+kZ+XqftCAABowxRZ2rDq6uq4//77Y/LkyfHQQw9FdXV1kx0dtLNiTGFhYZx++ukxadKkOPXUU5OtBbQfL7zwQrz66qvbyysbNmxo7pGa3MqVK+Mb3/jGHu/CUpepU6fGpz71qfjBD34Q48ePz+laAAAA0FptraqJx2etTJI1oFvHOHCvbkmyAACgNVNkaYNee+21mDx5ctx6662xZs2aiGia3Vd2VYyZMGFCTJo0KS644ILo2bNnsvWA9ufnP/95zJkzp7nHaDbLly+PSy65JJYtW9Yk661Zsya++MUvxv/8z//EYYcd1iRrAgAAQGvy9JzVsbmiOknWqfv3/cBzrAAA0B4psrQRK1eujFtuuSVuuummmDFjRkQ0z9FB27L79OkTF154YUyaNCn233//pOsBtEerV6+Oyy+/vMlKLNtUVlbG17/+9fj5z38eEyZMaNK1AQAAoCXbUlkdT85elSRrSM9OMXZAaZIsAABo7RRZWrGqqqr405/+FDfddFM88sgjzX50UFFRUZx++ulx8cUXx6mnnhr5+fnJ1gNoz6qrq+Of//mf4913363X9fn5+XHIIYfE8ccfH2PGjIl+/fpF586dY+vWrbFmzZqYPXt2PPvss/HUU09FeXl5nXlbt26Nb37zm/G73/0u+vTps6ffDgAAALQJT8xaFeVVNUmyTtu/n91YAADgbxRZWqFXXnklbrrpprjtttti7dq1EdG8RwcdeOCB248O6tGjR7L1APir6667Ll5//fV6XXvkkUfGl7/85Rg6dOgHvlZSUhIlJSUxZMiQ+MhHPhLr16+P3/zmN3H77bdHbW3tbnPXrVsX3/rWt+L666+PggIPHwAAAGjfNm2tiqfnrE6SNbxPSezXtyRJFgAAtAVeiWolli9fvv3ooJkzZ0ZE8x4d1Ldv3+1HB40dOzbpegC5UFxcHJ06dYp169Y19ygNMnPmzLjlllvqvC4vLy++8pWvxPnnn1/v7G7dusXXvva1OOqoo+Jb3/pWbNiwYbfXT5s2LW677ba46KKL6r0GAAAAtEWPzVwZlTW7f1NIfdmNBQAA3kuRpQWrqqqKP/7xjzF58uR47LHHoqampkUcHTRp0qQ45ZRTHB0EtFgdOnSI/fbbL0aOHBmjRo2KkSNHxrBhw+I3v/lN3HDDDc09Xr1ls9n4wQ9+UOduKZlMJv7t3/4tTj/99Eatc+ihh8a1114bl19+eWzatGm3195www1x8sknR69evRq1FgAAALR268oq47m5a5JkjRlQGnv37pwkCwAA2gpFlhbopZdeismTJ8ftt98e69evjwhHBwHsSqdOnWLffffdXlgZNWpUDB06tE2U7R5++OF4880367zuM5/5TKNLLNuMHDkyrrrqqvjKV76y239bysrK4vrrr49//dd/3aP1AAAAoLV65M0VUV2b5nnZU/fvlyQHAADaEkWWFmLZsmVx8803x0033RRvvfVWRDg6COD9OnfuHAceeGCMGDEiRo0aFaNGjYohQ4ZEXl5ec4+WXDabjcmTJ9d53ejRo+PSSy9NsuaRRx4ZH//4x+OOO+7Y7XUPPPBAXHrppXZlAQAAoN1ZtakipixIc2zxhMHdYlD3jkmyAACgLVFkaUYVFRVxzz33xE033RSPP/541NbWOjoIYDda07FAe+rZZ5+NefPm7faaTCYT3/jGN5L+9/ryyy+PRx99dPuOYDtTWVkZv/vd7+JLX/pSsnUBAACgNXhoxoqoTfA8bSYyccr+fRNMBAAAbU/bewt7K/Diiy/GZZddFv37948LL7wwHn300aipqYlsNhuZTGb7R8RfSybbPvbUrrIPPPDAuOaaa2Lp0qVx1113xemnn67EAtDM7r777jqv+dCHPhT7779/0nW7dOkSF154YZ3X3XfffVFdXZ10bQAAAGjJlq4vj1ffWZ8k65Bh3aNvaYckWQAA0NbYkaWJLFmyZPvRQW+//XZENO/RQf369dt+dNCYMWOSrgfAnlm/fn288MILdV530UUX5WT9c845J/7v//4vysvLd3nN+vXr47nnnotjjjkmJzMAAABAS/PgGysiG3v+3G1BXiZOHmM3FgAA2BVFlhzaunVr/OEPf4jJkyfHk08+2SKODjrjjDNi0qRJcfLJJ9t1BaCF2rZT1+4MHDgwDj744JysX1paGscee2w89NBDu73u4YcfVmQBAACgXVi0Zku8sWRDkqzD9u4RPUuKkmQBAEBbpMiSA88991xMnjw57rzzzti0aVNE/L1M0lTllR2zDzrooJg0aVJccMEF0b1792TrAZAbzzzzTJ3XnHTSSTmd4eSTT66zyPL8889HdXV1FBR4OAEAAEDb9sAby5PkFObnxUl2YwEAgN3yylMi77777vajg+bNmxcRjg4CoOEqKyvj1VdfrfO6o446KqdzHHLIIdGhQ4fYunXrLq8pKyuLGTNmxPjx43M6CwAAADSnuSs3x+zlm5JkHblvz+jasTBJFgAAtFWKLHugvLw87r777pg8eXI89dRTkc1mHR0EwB6ZNm1aVFRU7PaakpKSnJcUi4qKYsKECfHCCy/s9ropU6YosgAAANBmZbPZeGB6mt1Yigvy4sOj+iTJAgCAtkyRpRGeeeaZmDx5ctx1112xefPmiHB0ENC8amtro7y8PMrKymLLli1RUVERnTp1ik6dOkXnzp2jQ4cOzT0i9TRt2rQ6rxk3blyTlBUPOuigOoss9ZkXAAAAWqtZyzfF/NVlSbKOHdE7Soo9JQ8AAHXxqLme3nnnnbjpppvi5ptvjgULFkSEo4OA5rFp06aYMmVKvPXWWzF//vxYsGBBLFmyJGpqanZ5T3FxcQwZMiT23nvvGDZsWOy///4xYcKEKCy0lW1L89Zbb9V5zahRo5pgkoiRI0fWeU195gUAAIDWKOVuLJ2K8uO4Eb2TZAEAQFunyLIbW7ZsiTvvvDNuuumm+Mtf/tLsRwcVFxfHGWecERdffLGjg2iVKioqYs6cOTFr1qxYt25dg++/9NJLczBV67B69ep44IEH4rnnnotp06bttrSyM9t+9nPmzNn+uc6dO8ehhx4aRx99dJx44ol2bWkhZs+eXec19SmYpDB69Og6r9mwYUMsX748+vXr1wQTAQAAQNOZvnhjLF5XniTrhJF9omOR53MBAKA+FFl24qmnnoqbbrop7r777igr++u2kc15dNDBBx8ckyZNivPPP9/RQbQalZWV8fbbb8esWbNi5syZMWvWrJg/f36DCxg7ao9FlpkzZ8att94ajz32WFRXVyfNLisriyeffDKefPLJ+OlPfxpnn312nHvuudG3b9+k61B/mzdvjmXLltV53dChQ3M/TESUlpZGjx49Yu3atbu9bu7cuYosAAAAtCm12Ww8+Eaa3Vi6dCiIo/brmSQLAADaA0WWv1mwYMH2o4PeeeediGj+o4MuuuiimDRpUr3eEQ/NqaqqKubNm7e9sDJz5syYN29e8uJFe7Js2bL48Y9/HE8//XSTrLdhw4a48cYb47e//W1ceOGFcckll9ihpRksWbKkzmvy8/Nj0KBBTTDNXw0aNKjOIsvixYubaBoAAABoGlPfWR/LN25NknXi6L5RXGA3FgAAqK92X2S58cYbY/LkyfHss89GxK7LK+//2p7a3dFBkyZNipNPPjny8vKSrQepVFdXx7x582LWrFnbP95+++2oqqpq7tHahOrq6vjtb38bv/nNb2Lr1jRPljR0/ZtuuikeeeSR+PrXvx7HHntsk8/Qni1durTOa/r06RMFBU33z/egQYNi+vTpu72mPnMDAABAa1FdWxsPz0izG0v3TkVxxD49kmQBAEB70e6LLJ/73Ocik8k4Ogh2oqamJhYsWPCe44HefvvtqKioaO7R2qS1a9fGlVdeGa+99lpzjxLLly+Pr3/963H++efHl770pSYtTrRn9SmE9OrVqwkmadh6iiwAAAC0JVPmr4vVmyuTZJ08tm8U5nvDIgAANIRXJv/G0UHwXk899VR8+9vfbpZdQdqjWbNmxde//vVYsWJFc4/yHrfeemu8/fbb8f3vfz+6devW3OO0eatXr67zmp49m/ZM7fqst2rVqiaYBAAAAHKvqqY2Hn0zzfMzvbsUxyFDvXERAAAaSpHlb5qivOLoIFqTTZs2KbE0kVdeeSW+9KUvtdidbl555ZX47Gc/G7/+9a+bfDeQ9mbDhg11XtOjR9NuR1yfIsvGjRubYBIAAADIvefmron15WmO0D5lbN/Iz8vUfSEAAPAemhQJZTKZ7R8Rfy2wZLPZOPjgg+MXv/hFLF26NO6444449dRTlViAiIh444034qtf/WqLLbFss2jRovjiF78Y69evb+5R2rT6FFk6d+7cBJM0bL36zA0AAAAt3daqmnhs5sokWQO6dYwD9+qWJAsAANobO7IksLPdV/r377/96KBRo0Y112hACzZnzpz4p3/6p9iyZUtzj1Iv8+fPj3/4h3+I66+/vsnLFO3Fpk2b6rymJRZZNm/eHLW1tUqaAAAAtGpPz1kdmyuqk2Sdun/f9zxvDAAA1J8iSyPt6uigM888MyZNmhQf+chHvKAH7NLmzZvjG9/4Rr2KC7tTWFgYhx9+eIwfPz5Gjx4dAwYMiNLS0ujQoUOUlZXFpk2bYuHChTFr1qyYOnVqTJ06dY+OUps9e3Z897vfjf/+7//eo7nZufLy8jqvaeoiS6dOneq8pra2NiorK6NDhw5NMBEAAACkt6WyOp6cvSpJ1pCenWLsgNIkWQAA0B4psjTSji8EH3LIITFp0qQ4//zzo1u3bs03FNBq/Md//EcsWbKk0ff36NEjJk2aFKeddlp07dp1p9d07do1unbtGoMGDYojjzwyLrnkkli+fHncc8898fvf/75epYmdeeyxx+Kggw6Kc889t9Hzs3NVVXWfwV1Q0LT/dBcWFtbrOkUWAAAAWrMnZq2K8qqaJFmn7d/PbiwAALAHFFkaIJPJRDabjUwm856jg0aOHNncowGtyO233x5PPvlko+7NZDJx4YUXxiWXXNKonTn69esXl19+eXz84x+Pn/70p/Hwww83ao7/+Z//iQMOOCD222+/Rt3PztWnyJKfn98EkzR8vfrMDgAAAC3Rpq1V8fSc1Umyhvcpif36liTJAgCA9kqRpQG27cKSzWZj2bJl8aMf/Sh+9KMfNfNU7CiTyUR1dZpzbEkvLy8vhg4dGiNHjowHH3ywucdpFitXroxf/OIXjbq3S5cu8Z//+Z9x1FFH7fEcvXr1iu9+97sxfvz4uPrqqxtcQqisrIzvfe97ceONN3qHUUL1+e9XU+/IUt/1FFkAAABorR6buTIqa2qTZNmNBQAA9pwiSyPteLQQ8EF5eXmx1157xahRo2LUqFExevToGDFiRHTs2DEiot0WWX72s5816kif0tLS+OUvfxkjRoxIOs+5554b/fr1i2984xsNLiLMmDEj7rvvvjjzzDOTzsTutdR/fzxJBwAAQGu0bktlPDd3TZKs0f1LY+/eDd9BFwAAeC9Flkbygl3L01Jf3G0PMpnMe0oro0aNipEjR0anTp2ae7QW5dVXX41HHnmkwfd17NgxrrnmmuQllm2OPPLI+N73vhdXXnll1NY27N1Hv/jFL+L444+PkhJb5qZQn91PamrSnNddX/Xd5aqwsDDHkwAAAEB6j7y5Mqpr0zyveNoB/ZLkAABAe6fI0khKEy2LYlHTyWQyMXjw4A+UVjp39m6TuvzsZz9r1H3f/OY3Y+zYsYmnea/jjjsuLr744rjxxhsbdN/atWvjpptuiiuuuCJHk7Uv9SmDNHWRpb7rKbIAAADQ2qzaVBFT5q9NkjVhcLcY1L1jkiwAAGjvFFmAXcpkMjFw4MD3HA80cuRIu280wiuvvBJvvvlmg+87+eST44wzzsjBRB906aWXxtSpU2P69OkNuu+uu+6KSZMmKTMlUJ8ySEOPgNpT9V1PkQUAAIDW5uEZK6I2wRsWM5GJU/bvm2AiAAAgQpEF2IWjjz46nnjiiejSpUtzj9Im3HzzzQ2+p6SkJL72ta/lYJqdKygoiG9961tx0UUXNWjXj02bNsU999wTF110UQ6nax86dqz7nVtbtmxpgkn+rqysrM5r8vLyoqioqAmmAQAAgDSWri+Pqe+sT5J1yLDu0be0Q5IsAAAgIq+5BwBapq5duyqxJDJ37tx4/vnnG3zf5z//+ejevXsOJtq1fffdNz760Y82+L5bb701qqurczBR+1JaWlrnNfUplqRUn+JMly5dIi/PQwoAAABajwffWBHZ2PPdWAryMnHyGLuxAABASl51Asixu+++u8H39OrVK84777wcTFO3L3zhCw0+JmbFihXxzDPP5Gii9qNr1651XrN58+YmmOTv6lOcqc/cAAAA0FIsWrMl3liyIUnWYXv3iJ4ldikFAICUFFkAcqi6ujoee+yxBt/3iU98osFlklR69eoVJ598coPve/DBB3MwTftSnx1Z1q5d2wST/N3q1avrvKY+cwMAAEBL8cAby5PkFObnxUl2YwEAgOQUWQBy6IUXXoj169c36J7i4uI455xzcjNQPV144YUNvue5555r8t1C2prevXvXec2aNWuaYJKGrVefuQEAAKAlmLtyc8xevilJ1pH79oyuHZvnjUgAANCWKbIA5NBDDz3U4HuOPvroZj+qZfjw4TFy5MgG3VNZWRmPP/54jiZqHwYMGFDnNatWrWqCSf6uPjuy1GduAAAAaG7ZbDYemJ5mN5bigrz48Kg+SbIAAID3UmQByJGqqqp45plnGnzfRz7ykRxM03CNmeOJJ57IwSTtx8CBA+u8ZtWqVVFZWdkE0/zV4sWL67ymPnMDAABAc5u1fFPMX12WJOvYEb2jpLggSRYAAPBeiiwAOTJ9+vQoLy9v0D0lJSVxxBFH5GiihjnppJMik8k06J5XX301qqqqcjRR21efQkhtbW0sWbKkCab5q0WLFtV5jSILAAAALV02m40H31iRJKtTUX4cN8IxuwAAkCuKLH+TyWR8tOIPaImmTJnS4HsOOeSQKCoqysE0Dde3b98YPnx4g+7ZunVrTJs2LUcTtX2dOnWqVylk/vz5TTBNxPr162PDhg11Xrfvvvs2wTQAAADQeNMXb4x3125JknXCyD7RsSg/SRYAAPBBiizx1za+j9b/AS3NSy+91OB7Dj300BxM0niHHHJIg+9pTIGHvxs5cmSd18yePbsJJomYOXNmndf06NEj+vRxJjgAAAAtV202Gw++sTxJVpcOBXHUfj2TZAEAADvX7g/xfPLJJ5t7BKAN2rx5c8yaNavB97W0Isuhhx4av//97xt0z0svvRRXXHFFjiZq+0aOHBl//vOfd3tNY/5uNUZ9iiwjRoxogkkAAACg8aa+sz6Wb9yaJOvE0X2juMBuLAAAkEvtvshyzDHHNPcIQBs0e/bsqKmpadA9PXr0iCFDhuRoosYZP358ZDKZBu16NGfOnKiuro6Cgnb/T0yjjB8/vs5rpk+f3iQ/46lTp9Z5zbhx43I6AwAAAOyJ6traeHhGmt1YuncqiiP26ZEkCwAA2DVHCwHkQGOOfqnPkTJNraSkJAYPHtyge6qqqmLevHk5mqjt23///aNTp067vWbLli3xxhtv5HSOrVu3xrRp0+q87rDDDsvpHAAAALAnpsxfF6s3VybJOnls3yjM95Q6AADkmkfdADnw1ltvNfiellhkiYgYNWpUg+9pTJGHvyooKIgDDzywzuuefvrpnM7x4osvRmXl7p/oKy0tjdGjR+d0DgAAAGisqpraePTNFUmyencpjkOGdk+SBQAA7J4iC0AOtJUdWSIaN1djijz83dFHH13nNY899liDjnxqqIcffrjOaz70oQ9FXp6HEgAAALRMz81dE+vLq5JknTK2b+TnZZJkAQAAu+fVJ4DEKioqYtGiRQ2+b+jQoemHSaAxc82ZMyf9IO3Ihz/84SgsLNztNStWrIjnn38+J+uvXbs2nnnmmTqvO+WUU3KyPgAAAOyprVU18djMlUmyBnTrGAfu1S1JFgAAUDdFFoDEli5dGjU1NQ26J5PJxMCBA3M00Z4ZPHhwg+9ZvHhxDiZpP0pLS+PII4+s87pbbrklJ+vfeeedUVFRsdtrevbsGRMnTszJ+gAAALCnnnprVWyuqE6Sder+fSOTsRsLAAA0FUUWgMSWLFnS4Hv69u0bxcXFOZhmzw0cOLDBx8esWbOmziIEu3fuuefWec3LL78cL7/8ctJ1165dG7///e/rvO5jH/tY5OfnJ10bAAAAUthcUR1Pzl6dJGtIz04xdkBpkiwAAKB+FFkAElu2bFmD72nMridNpbCwMPr27duge7LZbKN+DvzdxIkTY9SoUXVe9+Mf/ziqqtKc9x0R8fOf/zzKysp2e01xcXF88pOfTLYmAAAApPT4zJWxtbphu+Xuymn797MbCwAANDFFFoDEli5d2uB7evXqlYNJ0undu3eD72nMzjS816RJk+q8Zt68efHTn/40yXqPPfZY3HfffXVed9ZZZ0X37t2TrAkAAAAprdtSGc+8vSZJ1vA+JbFf35IkWQAAQP0psgAk1haLLD179mzwPY35OfBeJ5xwQkyYMKHO626//fa47bbb9mit1157Lf7jP/6jzuu6du0an//85/doLQAAAMiVR2asiOra2iRZdmMBAIDmocgCkNiaNQ1/109jiiJNqTFFm7Vr1+ZgkvbnyiuvjPz8/Dqv+/GPfxzXX3991DbiybrHH388vvSlL8XWrVvrvPbyyy+Pbt26NXgNAAAAyLWVGytiyoJ1SbJG9y+NvXt3TpIFAAA0TEFzDwDQ1mzcuLHB97T0Iktj5tuwYUMOJom4/vrr44YbbshJdkTE/fffH/fff3+j7j399NPjO9/5TtJ5hg8fHpdcckn86le/qvPaG264IaZMmRJf/epXY+zYsXVev3z58rj22mvjoYceqtcsEydOjLPPPrte1wIAAEBTe/CN5VGbzSbJOu2AfklyAACAhlNkAUisMQWO0tLSHEySTmPmy1WRpT367Gc/G6+99lpMmTKlzmunT58ekyZNitGjR8dxxx0XY8aMiX79+kXnzp1j69atsWbNmpg9e3Y8++yzMWXKlKipqanXDL17947vfve7kZdnMzcAAABannfXbonX3l2fJGvCXt1iUPeOSbIAAICGU2QBSKwxBY7OnVv2VrWdOnVq8D2N2ZmGncvLy4v/+q//iksvvTTmzZtXr3tmzpwZM2fOTLJ+586d4+qrr47u3bsnyQMAAIDUHnhjeZKcvEwmTtvfbiwAANCcvK0aIKGysrKorq5u8H0tvchSUlLS4HvsyJJWt27d4rrrroshQ4Y06bqdOnWKa665JkaPHt2k6wIAAEB9zV25OWYt25Qka+LePaJ3l+IkWQAAQOMosgAktGlT4540acyOJ02pMfM19mfBrvXs2TN+85vfxCGHHNIk6w0YMCD+93//N8aNG9ck6wEAAEBDZbPZuH96mt1YCvLy4iNj+iTJAgAAGk+RBSChqqqqRt3XFosslZWVOZiEbt26xS9+8Yv4zGc+EwUFuTsh8Ljjjoubb7459ttvv5ytAQAAAHtq5rJNsWB1WZKso/brGd07FSXJAgAAGi93r4ABtEONLbLkspCQQmPma8wRS9RPfn5+XHHFFXHaaafF//zP/8Tzzz+fLHvYsGHxla98JY444ohkmU1p8eLF8YlPfCLn65x77rlNsg4AAAC7ls1m44FEu7F0KMiPD4+yGwsAAHW744474q677sr5OosXL875Gi1Vy37lFKCVUWT5u8b+LKi/oUOHxjXXXBNz586N2267LZ544onYuHFjg3OKiopi4sSJ8fGPfzwOP/zwyGQyOZi2aVRWVsb8+fNzvs66detyvgYAAAC79+qi9bFkfXmSrONH9o6S4pb9/AwAAC3DunXrmuS1iPZ8+oFH5gAJNXYXkvz8/MSTpNWY+XJVZLn00kvj0ksvzUl2azV8+PD49re/Hd/61rfijTfeiKlTp8aCBQtiwYIFsXbt2tiyZUuUl5dHUVFRdOrUKbp27Rp77bVX7L333nHAAQfEIYccEh06dGjubwMAAADqrbq2Nh58Y0WSrJLigjhmRK8kWQAAwJ5TZAFIqLHljZZeZLEjS+uQn58f48ePj/Hjxzf3KAAAAJBTU+avi9WbK5JknTi6T3QobNnPzQAAQHuS19wDALQltbW1jbqvpRdZ8vIa/s9FTU1NDiYBAAAA2ruqmtp45M00u7F061QYHxreM0kWAACQhiILQEKNLaQ09kiiptKYUkpjdnEBAAAAqMtf5qyODeVpdoI9ZWy/KMz3NDkAALQkXmUESKix5Y2ampoWXfxoTJGlsLAwB5PA7hUVFcXee++d83W6d++e8zUAAAD4oPLKmvjzrFVJsvp0KY5Dhvr9DgCAhunevXuTvBbx9ttvx9atW3O+TkvUcl81BWiFGlveaOnH8DRmxxhFFprDoEGD4o477mjuMQAAAMiRJ2avirLKNDvbnrp/v8jPyyTJAgCg/fjEJz4Rn/jEJ3K+zpgxY2LmzJk5X6clsmciQEJttcjiaCEAAACguW3aWhVPz0mzG8ug7h1j/OCuSbIAAIC0FFkAEmpseaOqKs25zrnSmPkUWQAAAICUHp25Miqqa5NknX5A/8hk7MYCAAAtkSILQELFxcWNum/Lli2JJ0mrrKyswfc09mcBAAAA8H5ryyrj+blrkmQN710SI/uVJMkCAADSU2QBSKi0tLRR9zWmKNKUGlO0aezPAgAAAOD9Hp6xIqprs0myTh/Xz24sAADQgimyACTUoUOHRu1E0tKLLI2ZT5EFAAAASGHZhq3x0oJ1SbLGDiiNYb06J8kCAAByo6C5B2hKe++9d72uy2QyMW/evBxPQ3Pz94FcKS0tjVWrVjXonrZ4tFDXrl1zMAkAAADQ3tw3bVlkY893Y8lEJk47oF+CiQAAgFxqV0WWhQsXRiaTiWx297/02FayffD3gVzp2rVrg4ss69evz80wiWzYsKHB93Tr1i39IAAAAEC7Mnfl5nhz6cYkWQcO6RYDunVMkgUAAOROuyqybLO7YkJdpQbaHn8fSK0xR+qsXr06B5Ok05j5HC0EAAAA7IlsNhv3TVuWJCs/k4lTxvZNkgUAAORWXnMPANDW9O7du8H3rFmzJgeTpNOY+RrzcwAAAADYZvrijbFwTZrjmA/bp0f07lKcJAsAAMitdrkjy6522XCETPvk7wOpDRgwoMH3tPQiS2N2ZGnMzwEAAAAgIqK6tjbum55mN5bC/Lz4yBi7sQAAQGthRxaAxBpT4Fi5cmUOJkln1apVDb5HkQUAAABorBfnrY1VmyqSZB29X6/o2rEwSRYAAJB7iiwAiTWmwPHuu+/mYJI0ysvLG1xkyc/Pj379+uVoIgAAAKAtq6iuiYffXJEkq2Nhfpww0vHHAADQmiiyACQ2cODABt+zZs2a2LIlzZnPqTWmZNOnT58oKGiXp9cBAAAAe+ip2atj09bqJFkfHtUnOhd7jgIAAFoTRRaAxPr16xeFhQ3frnbRokU5mGbPNabIMnjw4BxMAgAAALR1m7ZWx59npzmCuVvHwjhmRK8kWQAAQNNRZAFIrKCgIPbZZ58G37dgwYIcTLPnGjPXiBEjcjAJAAAA0NY98uaKqKiuTZJ1yv79ojDfU+AAANDaeBQPkAONKXLMnj07B5PsuVmzZjX4HkUWAAAAoKFWbaqI5+euSZLVr2uHOHRY9yRZAABA01JkAciBkSNHNviexhRGmkJjCjaN+f4BAACA9u2B6cujJptNknXGAf0jL5NJkgUAADQtRRaAHGhMkeOtt96K2to0W+emsnbt2lixYkWD7unYsWPstddeOZoIAAAAaIveWbMlXnt3fZKsfXp3jjEDuiTJAgAAmp4iC0AO7LffflFcXNyge8rKyuKtt97K0USN88orrzT4njFjxkRenn9eAAAAgPrJZrPxp2nLkuWdOa5/ZOzGAgAArZZXGgFyoLi4OMaNG9fg+6ZMmZKDaRrvpZdeavA9EydOzMEkAAAAQFs1a9mmmLtyc5KscYO6xtBenZNkAQAAzUORBSBHDj300Abf05jiSC69/PLLDb5HkQUAAACor9qEu7HkZTJx+gH9k2QBAADNR5EFIEcOO+ywBt/z+uuvx+bNad6BtKfmzp0bS5YsadA9Xbt2jZEjR+ZoIgAAAKCteXnhuli2YWuSrMP36RF9Sht21DMAANDyKLIA5MiIESOie/fuDbqnsrIynnjiiRxN1DCPPPJIg+859NBDIy/PPy0AAABA3apqauPBN5YnySouyIuTx/RNkgUAADSvguYeoKV69913I5vNNvcYQCuWyWTihBNOiLvuuqtB9z3yyCNx5pln5miq+nv00UcbfM+JJ56Yg0kAAACAtugvc1bH+i1VSbKOHdE7SjsWJskCAACalyLLDrYVV7LZbAwdOrR5h6FJKCuRayeffHKDiywvv/xyLF68OAYNGpSjqer20ksvNfhYoS5dusSRRx6Zo4kAAACAtqSsojoem7kySVZJcUEcP7J3kiwAAKD5Of9hF7LZrI82/gFNYfz48TFw4MAG3VNbWxu33XZbjiaqn1tuuaXB95xwwglRVFSUg2kAAACAtuaxWSujvKomSdbJY/tGh8L8JFkAAEDzU2TZhUwm46ONf0BTOfnkkxt8z5/+9KfYsGFDDqap27x58+KFF15o8H2nnHJKDqYBAAAA2pp1ZZXxzJw1SbJ6lRTH4fv0SJIFAAC0DIosu9Dcu4X4sCMLbcc555wTBQUNO8lty5Yt8b//+785mmj3rrnmmgb//8i+++4bBx10UI4mAgAAANqSB95YHtW1tUmyTj+gXxTkeZobAADaEo/wAXKsT58+jdqV5Y477oiFCxemH2g3nn/++XjuuecafN+nP/3pHEwDAAAAtDVL15fHKwvXJ8naq0enGD+4a5IsAACg5VBkAWgCn/rUpxp8pFVNTU1cddVVUV1dnaOp3mvz5s3xgx/8oMH39e/fP0488cQcTAQAAAC0JdlsNv742rLIRprdks8c198R4gAA0AYpsgA0gX322SeOPvroBt83bdq0uP7663Mw0Qd997vfjSVLljT4vosuuqjBRycBAAAA7c+s5ZvirRWbkmSN7l8a+/YtSZIFAAC0LIosAE3kn/7pn6KwsLDB902ePDkeeuihHEz0dzfccEM8/vjjDb5v7733jnPOOScHEwEAAABtSU1tNu59bVmSrExk4oxx/ZJkAQAALY8iC0ATGTJkSFxwwQUNvi+bzcZ3vvOdRhVN6uOmm25q9K4vX//61+3GAgAAANTpxflrY/nGrUmyDhnWPQZ065gkCwAAaHkUWQCa0Oc+97no06dPg++rqamJf/mXf4kbbrghstk050hXVFTEd7/73fj5z3/eqPuPP/74OPTQQ5PMAgAAALRdW6tq4sE3lifJKsjLi1PH9k2SBQAAtEzeRg/s1vXXXx833HBDc48REREHH3xw8sxLLrkkLr300uS5u9KpU6f49re/HV/60pcaXEipra2N66+/PqZOnRpf//rXY/jw4Y2e45VXXomrr7463n777Ubd36NHj/jmN7/Z6PUBAACA9uPxWStjc0V1kqyj9+sZ3TsXJckCAABaJjuyADSxI444Ii6++OJG3//KK6/EBRdcEP/2b/8WU6dOrXchprq6Op5++un40pe+FJdddlmjSyx5eXlx1VVXRa9evRp1PwAAANB+rNtSGU+9tTpJVqei/DhxdMN3ugUAAFqXdrkjSyaTae4RgHbusssui9dffz1ef/31Rt1fW1sbDz74YDz44IPRt2/fGDduXIwePToGDBgQXbp0iY4dO8bmzZtj8+bNsXDhwpg1a1a8/vrrsWHDhj2e/bOf/WxMnDhxj3MAAACAtu+B6cujqqY2SdaJo/tGp6J2+ZQ2AAC0K+3uUX9Dj/IAyIWCgoL4wQ9+EJdcckksWrRoj7JWrFgRjz76aDz66KOJptu1E088Mb7whS/kfB0AAACg9Vu0dku8vHBdkqwenYviqH17JskCAABatnZVZHnyySebewSA7Xr27Bm//OUv45JLLomlS5c29zh1Ouqoo+Kqq66KvDyn0gEAAAC7l81m497XliXLO2Nc/yjM95wEAAC0B+2qyHLMMcc09wgA79G3b9+47rrr4rLLLovly5c39zi7dMQRR8QPfvCDKChoV/9sAAAAAI00Y+nGmLtqc5KsoT07xYTBXZNkAQAALZ8KO0AzGzRoUNx8880xYcKE5h5lpz75yU/G//zP/0RRUVFzjwIAAAC0AtW1tfGn19PtxvLR8QMik8kkywMAAFo2RRaAFqBHjx7xy1/+Mj7+8Y839yjbFRcXx3e+8534+te/bicWAAAAoN6ee3tNrNxUkSRr/OCusXfvzkmyAACA1kGRBaCFKCgoiCuvvDJ+/vOfx+DBg5t1lsMOOyxuvfXWOP3005t1DgAAAKB1KauojodmrEiSVZCXidMP6J8kCwAAaD0UWQBamMMPPzxuv/32uOyyy6Jz56Z9x9GAAQPi+9//fvziF7+Ivfbaq0nXBgAAAFq/h2asiPKqmiRZR+3bK3p3KU6SBQAAtB7OigBogYqKiuLzn/98fPKTn4x777037rjjjliyZEnO1hs3blycf/75cdxxx0V+fn7O1gEAAADaruUbtsZzc9ckyepcVBAnjemTJAsAAGhdFFmA3br00kvj0ksvbe4x2q2SkpK48MIL4/zzz4+XX345nn322Xjuuedi0aJFe5Sbl5cXY8aMiQ996ENxzDHHxL777ptoYgAAAKC9+uPrS6M2m02S9ZExfaJTkaevAQCgPfKbAEArkJeXFxMnToyJEyfG1772tVi8eHHMnj07FixYEPPnz4/FixfH5s2bY8uWLVFWVhZVVVXRoUOH6NSpU3Tq1Cm6desWQ4YMib333juGDRsWY8aMiW7dujX3twUAAAC0ETOXbYxZyzYlyepVUhwf2rdnkiwAAKD1UWQBaIUGDRoUgwYNau4xAAAAAKK6tjb++NqyZHlnjusfBXl5yfIAAIDWxW8DAAAAAAA02nNz18aKjVuTZO3dq3McMKg0SRYAANA6KbIAAAAAANAoZRXV8fCM5UmyMpGJsw4cEJlMJkkeAADQOimyAAAAAADQKA+/uSK2VNYkyTpkWPfYq0enJFkAAEDrpcgCAAAAAECDLd+wNZ59e02SrOKCvDj9gH5JsgAAgNZNkQUAAAAAgAbJZrPxx9eXRm02myTvw6P6RNeOhUmyAACA1k2RBQAAAACABpm5bFPMWrYpSVb3TkVx3MjeSbIAAIDWT5EFAAAAAIB6q6qpjT+8ujRZ3pnj+0dhvqeqAQCAv/LbAQAAAAAA9fb0W6tj9eaKJFnDenWOCYO7JskCAADaBkUWAAAAAADqZf2Wqnh05opkeWdPGBCZTCZZHgAA0PopsgAAAAAAUC/3TVsWFdW1SbIOHdYj9urZKUkWAADQdiiyAAAAAABQp/mryuKVd9YlySrKz4vTD+iXJAsAAGhbFFkAAAAAANit2mw27n51SbK8D4/uE107FibLAwAA2g5FFgAAAAAAduuFeWtj8bryJFndOhXG8SN7J8kCAADaHkUWAAAAAAB2aUtldTwwfXmyvI+NHxCF+Z6aBgAAds5vCwAAAAAA7NJDM1ZEWWV1kqzhfUpi/OCuSbIAAIC2SZEFAAAAAICdWrq+PJ59e02SrExk4pwDB0Qmk0mSBwAAtE2KLAAAAAAAfEA2m427py6N2mw2Sd6R+/aMAd06JskCAADaLkUWAAAAAAA+4NVF62Puqs1JsjoXFcQpY/smyQIAANo2RRYAAAAAAN6jvKom/vjasmR5px3QLzoXFyTLAwAA2i5FFgAAAAAA3uPhGSti49aqJFmDuneMw/fpkSQLAABo+xRZAAAAAADYbun68vjLnNXJ8s6eMCDyMplkeQAAQNumyAIAAAAAQEREZLPZuGvqkqjNZpPkHbhXt9inT0mSLAAAoH1QZAEAAAAAICIiXnlnfcxbVZYkqyg/L84c3z9JFgAA0H4osgAAAAAAEOWVNfHH15YmyztxdJ/o3qkoWR4AANA+KLIAAAAAABAPzlgemyuqk2T1KimO40b2TpIFAAC0L4osAAAAAADt3JJ15fHMnDXJ8s45aEAU5nv6GQAAaDi/SQAAAAAAtGPZbDbunLokspFNkrf/wK4xun9pkiwAAKD9UWQBAAAAAGjHpixYFwtWlyXJKszPi7MPHJAkCwAAaJ8UWQAAAAAA2qnNFdXxp9eXJcs7aXSf6NG5KFkeAADQ/iiyAAAAAAC0U/e+vizKKquTZPUqKY7jRvZOkgUAALRfiiwAAAAAAO3Q3JWb46UFa5PlnXPQgCjM95QzAACwZ/xWAQAAAADQzlTX1sYdryxJljduUNcY3b80WR4AANB+KbIAAAAAALQzT8xaFSs2bk2SVZifF2dNGJAkCwAAQJEFAAAAAKAdWbWpIh6duTJZ3kfG9I3unYuS5QEAAO2bIgsAAAAAQDuRzWbjrqlLoqqmNkleny7FceyIXkmyAAAAIhRZAAAAAADajdff3RCzl29KlnfuQQOjMN/TzAAAQDp+wwAAAAAAaAfKK2viD68uTZZ34F7dYkS/LsnyAAAAIhRZAAAAAADahQfeWB4bt1YlyepYmB9nTRiQJAsAAGBHiiwAAAAAAG3cgtVl8ezba5LlnX5AvyjtWJgsDwAAYBtFFgAAAACANqy6tjZue3lxZCObJG9Iz05xxPCeSbIAAADeT5EFAAAAAKAN+/PMVbF8w9YkWZnIxCcOHhR5mUySPAAAgPdTZAEAAAAAaKOWb9gaj85ckSzvmBG9YlD3jsnyAAAA3k+RBQAAAACgDcpms3H7y4ujujbNkULdOhXGKWP7JskCAADYFUUWAAAAAIA26Pl5a2P+6rJkeWcfODA6FOYnywMAANgZRRYAAAAAgDZm/Zaq+NO0ZcnyxgwojQMGlibLAwAA2BVFFgAAAACANubuV5fE1qqaJFlF+Xlx7kEDI5PJJMkDAADYHUUWAAAAAIA2ZNq7G2L64g3J8k4e2zd6dC5KlgcAALA7iiwAAAAAAG1EeWVN3P3qkmR5g7p3jGNH9E6WBwAAUBdFFgAAAACANuLe15fGhvKqJFl5mUx88pBBkZ/nSCEAAKDpKLIAAAAAALQBby3fFC/MX5ss75gRvWJwj07J8gAAAP4/e/8ZZVd934v/nzNVZdR770IFoUYXRVRjY8D0JsCFgLFj597fchI7Xk6u42v/WTY3udc2rhhMFTXEYJxg0wRIiKaCBBKSUO+9T5/zf0BmIgkJzYz2nvp6rTVLsGfv9/6cGT3gbN7n+60NRRYAAAAAgGaupLwypr+1NrG87kUF8bnjeyeWBwAAUFuKLAAAAAAAzdyz8zfEjv1lieVdc2L/KMjz+BgAAGh43okAAAAAADRjSzbtjdeXbUss7+QhXeO43h0SywMAAKgLRRYAAAAAgGaqtKIyHnt7TWJ5RYV58YUJfRLLAwAAqCtFFgAAAACAZuqP722MrXuT21Loikl9o31hXmJ5AAAAdaXIAgAAAADQDC3fsi9eW5LclkJj+nSMSQM7J5YHAABQH4osAAAAAADNTHllVUx/a01kI5tIXmFeTlxzYr/IZDKJ5AEAANSXIgsAAAAAQDPz3IKNsXlPaWJ5F5/QJ7q0L0gsDwAAoL4UWQAAAAAAmpEVW/fFK4u3JpY3rEf7OGtEt8TyAAAAjoUiCwAAAABAM1FaURkPzU5uS6H83Jy4/uQBthQCAACaDEUWAAAAAIBm4tn5G2Pr3gS3FBrXO3p0KEwsDwAA4FgpsgAAAAAANANLNu6J15Ymt6XQ4O7t4+zjuieWBwAAkARFFgAAAACAJq64rDIefmtNYnl5OTlxw8n9I8eWQgAAQBOjyAIAAAAA0MQ9PXd97NxfnljeZ4/vFb06tkksDwAAICmKLAAAAAAATdjCdbvjzRXbE8sb2LVdnDOqR2J5AAAASVJkAQAAAABoovaWVsSjbye5pVAmrj+5f+Tm2FIIAABomhRZAAAAAACaoGw2G0++sy72lFQklnnhmF7Rt3PbxPIAAACSpsgCAAAAANAEzVm9M+au2ZlYXv8ubeO8MbYUAgAAmra8xh6A9JSVlcX69etj/fr1sW3btti5c2fN1759+6K8vDzKysqivLw8KioqIj8/P/Lz86OgoCDy8/OjqKgoOnfuXPPVrVu36NevX/Tp0yfy8vzVAQAAAIC07NhfFk+8sy6xvLycTNx4yoDIy/HZRgAAoGnTRmjmNm/eHIsWLYqlS5fG0qVLY9myZfHRRx/FunXrYvv27ancM5PJRPfu3aNfv34xbNiwGDFiRAwfPjxGjBgRo0ePjm7duqVyXwAAAABoDbLZbDw8e00Ul1cmlvnZ43vbUggAAGgWFFmakTVr1sTs2bNjzpw5MX/+/Jg3b15s2rTpE+dls9lU58hms7F58+bYvHlzzJs37xPf79u3b0yYMCHGjx8fkyZNilNPPTX69u2b6kwAAAAA0FK8/OHWWLp5b2J5g7u3j3NH21IIAABoHhRZmrD33nsvXn755Zg1a1a88cYbsW7dwUuJflphJZPJpD1eZLPZw86wbt26WL9+ffzpT3+qOTZgwIA4/fTT4/TTT4+pU6fG8ccfn/p8AAAAANDcrNtRHM+9tyGxvPzcnJh2yoDIaYDnhQAAAElQZGlC1q1bF3/+85/jhRdeiBdffDG2bNlS873DFUaOVlZJa2WW6vt+2v0Pvffq1atjzZo18dhjj0VERM+ePeO8886L888/Py688EIrtgAAAADQ6pVXVsUDs1dHRVVyz/UuHd8nenQoTCwPAAAgbYosjey9996LP/zhD/GHP/wh5s6dW3P80CLIkUojaW8jVJ97ZjKZw8574HWbNm2K6dOnx/Tp0yMiYtKkSXHZZZfFpZdeGieccEKyAwMAAABAM/Ds/A2xcVdJYnkjexXFmSO6JZYHAADQEBRZGsG8efNi+vTp8fjjj8fq1asjonbFlcYordTHkVaPOfQ1HXjeu+++G3PmzIl/+qd/ioEDB8Y111wT1113XUycODH1eQEAAACgsS3esCdmLNmaWF6b/Ny44eQBDbIFOQAAQJIUWRrI8uXL46GHHorp06fHkiVLIuLo5ZXmUlypjcO91gNfbzabrTln1apVcdddd8Vdd90VI0aMiBtuuCFuuOGGGD58eIPODAAAAAANYV9pRTzy1ppEM6+Y1De6tC9INBMAAKAh5DT2AC1ZaWlpPPzww3HuuefGiBEj4vvf/358+OGHNaWN6jJH9Vf18QNLHS3Voa/1SD+LJUuWxPe///047rjj4uyzz44HH3wwiouLG3t8AAAAAEhENpuNx95eG7uKyxPLPL5vxzh5cJfE8gAAABqSIksKPvjgg/jrv/7r6NOnT9x8880xY8aMwxY2IqLVFFeO5tCfw+FKLa+//np88YtfjD59+sQdd9wRCxYsaOSpAQAAAODYvLliR8xfuyuxvKLCvLj2pP62FAIAAJotRZaEZLPZ+MMf/hDnn39+jBs3Ln75y1/Gzp07P1FgqT5XeeXIjlRqqT62e/fu+M1vfhMTJkyIqVOnxr/9279FVVVVI08NAAAAAHWzcVdJPPXuukQzrzu5f3Rsm59oJgAAQENSZDlG+/bti3/913+NYcOGxRVXXBEvv/zyYVdfUV6pnyNtP1R97LXXXourr746hgwZEj/5yU9iz549jT0yAAAAABxVeWVVPPDG6iirTO4DWqcN6xbj+nVKLA8AAKAxKLLU09atW+N73/teDBw4ML71rW/FypUrP3X1FY7dp63SsmbNmvj2t78dAwcOjO985zuxcePGRp4WAAAAAI7smfkbYt3O4sTyuhcVxuUT+ySWBwAA0FgUWepo7dq18fWvfz0GDRoUP/rRj2LHjh1NfvWVA2c71q+m4NNWadm1a1f8+Mc/jiFDhsTtt98eK1eubOxxAQAAAOAgC9btileXbE0sLyeTiZtPGxiFebmJZQIAADQWRZZaWrduXXz961+PESNGxK9+9asoLi5uEquv1LV8cmAJpLZfx3K/tB1plZbS0tK455574rjjjovbb789Vq9e3aBzAQAAAMDh7NxfHtPfXJto5kVje8Wgbu0SzQQAAGgseY09QFO3cePG+NGPfhT33HNPlJaWHlSaqNYQ5ZVPK4gc7f4dO3aMjh07RocOHWr+uU2bNpGXlxf5+fmRn58fubm5UVFREeXl5TV/7t+/P/bs2RO7d++OPXv2xK5du2Lfvn1HnfNIs6b5czq0zFJ9rLy8PO655564//7740tf+lJ897vfjf79+6c2BwAAAAAcSVU2Gw++sTr2lVUkljmke/s4f0zPxPIAAAAamyLLEezZsyfuvPPO+H//7//VrL4S0TAFlroUQfr27RuDBw+OQYMGxeDBg2Pw4MHRr1+/6NWrV/Ts2TN69eoVBQUFic1WXFwcmzZtik2bNsXmzZtj7dq1sXLlyli5cmWsWrUqVqxYEVu2bDnsazrc60r6Z3ikQktZWVn85je/ifvvvz++8Y1vxHe+853o3LlzovcGAAAAgE/zl/c3x7ItexPLa5OXG9NOHRC5OU1jS3AAAIAkKLIcory8PO6+++740Y9+FNu2bWuQAkttCh49evSIyZMnx7hx42L06NExZsyYGD16dHTo0CHRWY6mbdu2NYWZI9mxY0d88MEHsWjRoli0aFHMnz8/5s6dGzt27DjovCNtfZSEIxVaSkpK4q677op77rkn/uEf/iG+8Y1vJFr0AQAAAIDDWb5lX/zHwk2JZl4xuW90LypMNBMAAKCxKbIc4Mknn4y/+7u/i1WrVqVaYDlacaVdu3ZxyimnxBlnnBGTJ0+OSZMmNavtcLp06RJTpkyJKVOmHHR85cqV8e6778a7774bM2fOjLfffjtKSkpqvn9osSWJn/eRCi07duyIv/u7v4uf/vSn8eMf/ziuvfbaY74XAAAAABzOvtKKeOCN1ZGN5D4gN2FApzh5cJfE8gAAAJoKRZaIeO+99+Jv/uZv4tVXX02twPJpK48UFRXF1KlT49xzz40pU6bEpEmTIjc395jv2dRUr+Ry5ZVXRsTHq9+88847MXPmzHjppZfi1Vdfjf3799ecn+RqLUcqtKxZsyZuuOGGuPvuu+OnP/1pTJgwod73AAAAAIBDZbPZeOTNNbFjf1limZ3b5cc1J/Y/4hblAAAAzVmrLrJs27Ytvvvd78bvfve7qKqqimw2m2iB5UhFjEwmEyeddFJ85jOfiQsuuCBOO+20yMtrfb+K/Pz8OO200+K0006Lb33rW1FeXh6zZs2Kv/zlL/H888/Hu+++W3NuUqu1HKnQ8vrrr8dJJ50UX/rSl+KHP/xh9OjR4xheGQAAAAB87OUPt8bC9bsTy8tEJm4+dWC0L2x9zxMBAIDWIZNNar+cZua3v/1tfOc734kdO3Z8YhWWY/mRHKm8UlBQEOeee25cdtllcemll0afPn3qfY/WYv369fHMM8/EH/7wh3j55ZejrOzjT60kuVLLob/zTCYTnTp1ijvvvDNuu+22eucCkK6xY8fGBx988InjY8aMiffff78RJgIAAPik5Vv2xc9e+iiqEnwE+9nje8VFx/dOLA8AAGiaWvP/C8lp7AEa2oIFC2LKlCnx1a9+NbZv316zCksmk4lsNlvvUsShK3xks9nIy8uLiy++OB588MHYunVr/OlPf4rbb79diaWW+vbtG1/96lfjP/7jP2Lr1q3x4IMPxsUXXxx5eXkH/a4OXa2lLqpzDvw7sHPnzrjjjjvi9NNPjwULFiT5kgAAAABoJfaWVsT9s1YlWmIZ3qMoLhzbK7E8AACApqhVFVm+9a1vxeTJk2P27NkHlRci6reqR/X1h2ZMnTo1fvvb38amTZvi2WefjRtvvDGKioqSeyGtUFFRUdx4443x7LPPxqZNm+Kee+6Jc845JyI+uV1QfUoth2Zks9mYPXt2TJ48Ob71rW8l90IAAAAAaPGy2Ww8NHt17CwuTyyzXUFuTDttQOTU8wNdAAAAzUWr2looJyenpqRwrAWWatXXDxw4MG655Zb44he/GEOGDElmYI5q1apVcd9998UDDzwQK1eujIjD/37q4tDrM5lMVFZWHvOsACSnNS+nBwAANH1/+WBz/PG9DYlm3nrm4BjXr1OimQAAQNPVmv9fSKtakaVafbcROnT1lZycnPjCF74Qzz//fKxYsSK+//3vK7E0sEGDBsX/+l//K5YvXx4vvPBCXHHFFZGbm3tM2w4dyxZTAAAAALRuyzbvjefe25ho5pkjuiuxAAAArUZeYw/QGOpTYDnwul69esWtt94at99+e/Tv3z/x+aifc889N84999zYsGFD/PrXv47f/va3sWHDx598OdZVWgAAAADgaPaUVMQDb6yObCT3/Klv57Zx2YQ+ieUBAAA0da1yRZbaqF7J48DVW8aPHx8PPvhgrFmzJn7wgx8osTRRffr0if/1v/5XrF69Oh555JGYPHnyQaus1GeVFgAAAAD4NFXZbDz4xurYVVyeWGZ+bk7cctrAyM/1GBcAAGg9vAM6xKHbB2Wz2bjwwgvjz3/+c8ydOzduvPHGyMtrlQvZNDu5ublx3XXXxdtvvx0vvvhifPazn42IUGgBAAAAIHF/WrAxPty0J9HMKyf1jd6d2iSaCQAA0NQpsvyXQwssmUwmrrnmmpg/f37853/+Z5x//vmNPCHH4pxzzonnnnsuFi5cGNdff33k5OQotAAAAACQiAXrdsVfPticaOZJg7vEqUO7JpoJAADQHCiyRBxUYMnJyYlp06bF+++/H48++miMGzeukacjSaNHj46HH344Fi1aFLfcckvk5uYqtAAAAABQb1v2lMZDs9ckmtmrY5u4+sR+nlUBAACtUqsuslQXF6pXYLn55ptj8eLF8cADD8Rxxx3X2OORouHDh8d9990XS5YsiS996UufWKEFAAAAAI6mtKIy7p25KkrKKxPLzM/NiS+ePjAK83ITywQAAGhOWmWR5cACSzabjcsvvzwWLFgQv//972PYsGGNPR4NaPDgwfG73/0u3n///bjqqqsi4r+3lgIAAACAI8lms/H42+ti/c7iRHOvPrFf9O3cNtFMAACA5qRVFlmqCywXXHBBvP322/HUU0/F6NGjG3ssGtHIkSPj8ccfj3feeSc+85nP1KzOAgAAAACH8/qybfHOqh2JZp48pGucMqRropkAAADNTasrsmSz2Rg7dmz8x3/8Rzz//PMxefLkxh6JJmTixIk1fzeOP/74xh4HAAAAgCZo+ZZ98fSc9Ylm9u7UJq6e3C/RTAAAgOaoVRVZevXqFb/5zW9i/vz58ZnPfKaxx6EJu+CCC2LevHnx61//Onr16tXY4wAAAADQROwpKY/fz1oVlQmu6FuYlxNfOn1QFOS1qse1AAAAh5XX2AM0pGXLlkX79u0bewyaiUwmE3/1V38VN9xwQ2OPAgAAAEATUFFVFffNXBW7issTzb3mxP7Ru1ObRDMBAACaq1ZV8VdioT78vQEAAAAgIuLpOevjoy37Es08bVi3OHFwl0QzAQAAmrNWVWQBAAAAAKiPNz7aFq8v25Zo5sCu7eLKSX0TzQQAAGjuFFkAAAAAAD7Fiq374sl31yWa2b4gL740ZVDk53pECwAAcCDvkgAAAAAAjmBXcXnc+/qqqKjKJpaZiUzccvrA6Nq+ILFMAACAliKvsQdobUaMGBEDBw6MSZMmxcSJE2PixIkxatSoyGQyjT0aAAAAAHCA8sqquPf1lbG7pDzR3M+N6xXH9e6QaCYAAEBLocjSgN5///346KOPYvny5fHKK6/UHG/btm2MGzfuoHLLuHHjoqDAJzIAAAAAoDFks9l48t11sXLb/kRzj+/bMS4Y0zPRTAAAgJZEkaUBzZ49u+afs9n/Xop0//798dZbb8Vbb71VcywvLy9GjRoVEydOjEmTJsVVV10Vffv2bdB5AQAAAKC1em3ptpi9fHuimd2LCmPaqQOtzgwAAPApFFka0KJFi2r++dA3qwcWWyIiysvLY8GCBbFgwYJ49NFH45prrmmQGQEAAACgtVuyaW88PXd9opn5uTnxlTMGRduC3ERzAQAAWhpFlgb04Ycf1vzzgcWVTCZz2E9hZLPZyGQycc0110Tv3r0bZEYAAAAAaM227CmN+2aujKpDPnh2rK49qX/07dw20UwAAICWSJGlAa1ff/hPcRy6GkvEwSu2fOlLX0ptJgAAAADgY8VllfGbV1fE/rLKRHPPHNE9ThrcJdFMAACAliqnsQdoTTZu3Fir/W8PPKeoqCjOPPPMNMcCAAAAgFavsiobv5+1KjbvKU00d3iPovjCxD6JZgIAALRkiiwNaM+ePbU+t3pboXPPPTfy8iycAwAAAABp+vd562Pxxto/v6uNLu0K4otTBkVejsewAAAAteUdVAMqKSmp8zUTJ05MYRIAAAAAoNrMZdvi1SVbE83Mz82JW88cHB3a+JAaAABAXSiyNKBsNlvna0aPHp3CJAAAAABARMSSTXvjqXfXJZ57/cn9o3+XtonnAgAAtHSKLA2osLCwzteMGjUqhUkAAAAAgC17SuP3M1dFZT0+gPZpzhnVIyYP6pJoJgAAQGuhyNKA2rdvX+drunbtmsIkAAAAANC67S+riN+8uiL2lVUkmjuqd4e4dHyfRDMBAABaE0WWBtSjR486X9OhQ4cUJgEAAACA1quiqip+9/qq2LynNNHc7kUFcfNpAyMnk0k0FwAAoDVRZGlAvXv3jmwdlyktKipKaRoAAAAAaH2y2Ww89va6WLZ5b6K5hXk58ZUzBkf7wrxEcwEAAFobRZYGNHz48DpfU1ZWlsIkAAAAANA6/eWDzfHWiu2JZmYiEzedNjD6dm6baC4AAEBrpMjSgEaOHFnna/buTfaTIQAAAADQWr27akc8t2Bj4rmfP6F3jOvXKfFcAACA1kiRpQFNmjSpztfs2rUrhUkAAAAAoHVZvmVfPPLmmsRzTxrcJc4b3SPxXAAAgNZKkaUBTZ48OTKZTEREzZ9Hs3z58jRHAgAAAIAWb8ue0rjntZVRUZVNNHdI9/Zx7Un9a/2sDwAAgKNTZGlAHTp0iEmTJkU2W/s3zB9++GGKEwEAAABAy7avtCJ+8+qK2FdWkWhul3YF8ZUzBkd+rkesAAAASfIuq4F95jOfqdP5CxYsSGkSAAAAAGjZyiur4p7XVsbmPaWJ5hbm5cRtZw2ODm3yEs0FAABAkaXBXXbZZbU6L5PJRDabjZdeeinliQAAAACg5clms/HQ7NWxfOu+RHMzkYmbThsYfTu3TTQXAACAjymyNLCTTjophgwZEhFxxL1zD9x6aPny5bF27doGmQ0AAAAAWop/n7ch5q3ZlXju50/oHeP6dUo8FwAAgI8psjSCm2666aCyytE89dRTKU4DAAAAAC3LKx9uiVc+3JJ47ilDusZ5o3skngsAAMB/U2RpBLfddlvk5uZGxJFXZamWzWbj97//fQNMBQAAAADN39zVO+PpuesTzx3RsyiuOanfUZ/nAQAAcGwUWRpB375946qrrvrUVVmy2WzNm+L33nsv5syZ01DjAQAAAECztGzz3nho9urEc3t3bBNfOWNw5OV4nAoAAJA277wayT/8wz/UFFVq8ymOH/zgB2mPBAAAAADN1sZdJXHPayujoqr2W3rXRlFhXtx21pBoW5CbaC4AAACHp8jSSMaNGxfXXXddrVZlyWaz8cwzz8T8+fMbcEIAAAAAaB527i+PX81YEcXllYnm5ufmxF+dOTi6FRUkmgsAAMCRKbI0orvuuiuKiooi4uirsmSz2fibv/mbhhgLAAAAAJqN/WUV8asZy2PH/rLEs288ZUAM7t4+8VwAAACOTJGlEfXp0ye++93v1mpVloiI1157Le65556GGg8AAAAAmrTyyqr4zasrY8OuksSzLzmhT0wc2DnxXAAAAD6dIksj+//+v/8vRowYERGfvipL9RZDf/d3fxerV69uqPEAAAAAoEmqrMrG72euihVb9yWefdrQrnHe6B6J5wIAAHB0iiyNLD8/Px5++OHIz8+PiMOXWQ5csWXnzp1x5ZVXRllZ8kulAgAAAEBzkM1m4/F31sbC9bsTzx7dp0NcdWK/o24FDgAAQDoUWZqAE088Mf7lX/6l1lsMzZkzJ+64446GGg8AAAAAmpTn3tsYs5dvTzy3f5e28aUpgyIvx2NTAACAxuIdWRPxta99La699tqDCiuHqv5eNpuN3//+9/Hd7363gacEAAAAgMY148Mt8ZdFmxPP7dq+IG4/a0gU5uUmng0AAEDtKbI0Iffcc0+MHz++1mWWO++8M3784x838JQAAAAA0DjeXbUj/m3u+sRz2xfkxR1nD42ObfMTzwYAAKBuFFmakPbt28cLL7wQo0ePjoioVZnlO9/5Tnzve99ryDEBAAAAoMG9v353PDx7TeK5eTk5ceuZg6Nnx8LEswEAAKg7RZYmplu3bvHCCy/E0KFDI6J2ZZYf/ehHceutt0ZVVVVDjgoAAAAADWLZ5r1x38xVUZnNJpqbiUzcfNrAGNqjfaK5AAAA1J8iSyPIHuUNd58+feLFF1+MwYMH13qbofvuuy/OOeec2LBhQxojAwAAAECjWLN9f/z2tZVRXpn8h7gun9Q3xg/olHguAAAA9afI0gjGjBkTJ510Utxxxx1xzz33xLx586KiouKgcwYOHBhvvvlmnHnmmbUus7z22msxceLEeOGFFxriZQAAAABAqjbtLolfzVgRJeWViWefM6pHnD2ye+K5AAAAHJu8xh6gNSopKYklS5bEnDlzao4VFBTEuHHj4sQTT4zJkyfH5MmTY9y4cfHCCy/EHXfcEffee29NYeVQB5ZZNm/eHJ/5zGfiy1/+ctx1113RqZNPlAAAAADQ/OzYVxa/eGV57C2tOPrJdXTS4C5x2fg+iecCAABw7KzI0oiy2WzNV2lpabzzzjvx61//Om677baYPHlydOjQIc4888woLCyMcePG1WpllupCy7333hujR4+OBx98sIFfFQAAAAAcmz0lFfGLV5bHzv3liWeP7tMhrju5/xGfswEAANC4FFkaUXXxpPor4uByS0lJSbz11lvxq1/9KhYuXFjz/SOp/l51mWXjxo3xxS9+MU444YT44x//mP4LAgAAAIBjVFxWGb+asTw27ylNPHtwt3bxpSmDIi/HY1EAAICmyju2RlZdWon4ZLHl0HJLXfIOXJ1l4cKFcdlll8X48ePj/vvvj/Ly5D/JAgAAAADHqqS8Mn716opYu6M48exeHdvEbWcNicK83MSzAQAASI4iSxNx4EosRyq31DWv+vrqf1+wYEF8+ctfjoEDB8a3v/3tWLBgQbIvAgAAAADqqayiKn776spYuXVf4tmd2+XHHWcPifaFeYlnAwAAkCxFlibscMWW+lx/6OoumzZtip/85CcxYcKEGD9+fPzwhz+MuXPnJj0+AAAAANRKeWVV/O71lbFsy97Es9sV5MYdZw+NLu0LEs8GAAAgeT6C0AocujrLgccWLFgQCxcujH/8x3+MXr16xYUXXhhnnHFGnHrqqXH88cc3yrwAAAAAtB4VVVXx+5mrYvHGPYln5+fmxG1nDYnendokng0AAEA6FFlakUO3K6o+Vn1848aN8eCDD8aDDz4YERFFRUUxefLkmDx5ckyaNCkmT54cI0eObJzhAQAAAGhxKquy8eAbq2Ph+t2JZ+dmMvHlKYNiSPf2iWcDAACQHkWWVujAbYoOXKXl0O/t2bMnZsyYETNmzKg5VlRUFBMmTKgptkyaNClGjx79iRwAAAAA+DRV2WxMf2tNzFuzK/HsTGRi2mkDY0zfjolnAwAAkC5Fllbu0FLLpxVbIj4ut7z++uvx+uuv1xxr27ZtjB8//qByy9ixYyM3Nzfd4QEAAABolrLZbDz+9tp4e+WOVPKvPrFfTBrYOZVsAAAA0qXIQo1DSyuHK7Yc7rz9+/fH7NmzY/bs2TXHCgsLY9y4cQeVW8aNGxf5+fnpDA8AAABAs5DNZuOpOevjjeXbU8m/5IQ+MWV4t1SyAQAASJ8iSyPLZDKfKIY0FYebq7bllpKSknj77bfjnXfeqTmWn58fY8eOrSm2TJo0KcaPHx+FhYXJDw8AAABAk5PNZuOZ+RvitaVbU8k/f3TPOH9Mz1SyAQAAaBiKLI2kuvhR22JIU1HXcsuB55eVlcXcuXNj3rx58bvf/S4iInJzc2P06NE15ZbJkyfHhAkTom3btum9CAAAAAAaxX8s3BQvLd6SSvbpw7rF50/onUo2AAAADUeRpRH8y7/8S8ycOTPmzJkT8+bNi507dx70/dZUbqmoqIgFCxbEwoUL4/7774+IiJycnBg5cuRB5ZaJEydGUVFRei8CAAAAgFT95YPN8fz7m1LJnjiwc1x9Yr/DPo8CAACgeVFkaQSXX355XH755TX/vmLFipgzZ07N19y5c2Pz5s0HXXOkYkhE0yy4HEu5pbKyMhYtWhSLFy+Ohx9+uOba4cOH12xJVF1y6dSpU3ovAgAAAIBEvPLhlvjjextSyR7Tp2NMO3VA5CixAAAAtAiKLE3AkCFDYsiQIXHllVfWHFu/fv0nyi1r1qw56LrqUkhzWb3lWMot2Ww2lixZEkuXLo3HHnus5viQIUMOKrZMmjQpunXrls4LAAAAAKDOZi7bFk/PXZ9K9sheRfHlMwZFXk5OKvkAAAA0PEWWJqpv377Rt2/f+PznP19zbNu2bZ8ot3z00UcHFT5acrnlcOcvX748VqxYEU899VTNtRUVFckPCgAAAECdvbliezz+ztpUsof1aB+3njk48nOVWAAAAFoSRZZmpFu3bnHBBRfEBRdcUHNsz549MXfu3IPKLYsXL47KysqDrv20lU+amiOVWw7882jnAwAAANC43lyxPaa/mU6JZXC3dnHbWUOiMC83lXwAAAAajyJLM9ehQ4c466yz4qyzzqo5VlJSEvPnzz+o3LJw4cIoKys76NrmXm6JOPg1NMW5AQAAAFqj6hJLNpJ/XtO/S9v46tlDo02+EgsAAEBLpMjSArVp0yZOOeWUOOWUU2qOVVRUxMKFCw8qt8yfPz/2799/0LXNqdwS8d9zHWkrIgAAAAAa1pvLt8f0t9IpsfTp1CbumDo02hYosQAAALRUiiytRF5eXkyYMCEmTJgQX/7ylyPi4xLI4sWLDyq3zJs3L3bu3HnQtc2t3AIAAABA45i9fHs8mlKJpWeHwvj6OUOjqNAjTQAAgJbMu75WLJPJxOjRo2P06NFx44031hxfvnz5QeWWuXPnxubNmz9x7ZFWQVFwAQAAAGh90iyxdGtfEF87Z2h0aJOfeDYAAABNiyILnzB06NAYOnRoXHXVVTXH1q1bd1C5Zc6cObF27dqDrqsutli9BQAAAKB1SbPE0rldfvz1ucOiS7uCxLMBAABoehRZqJV+/fpFv3794pJLLqk5tnXr1k+UW5YvX35QaUW5BQAAAKBlm718e0x/a00q2Z3a5sdfnzMsurZXYgEAAGgtFFmot+7du8eFF14YF154Yc2x3bt315Raqv/88MMPo7Ky8qBrj7Q1kXILAAAAQPPxxkfb4tG31x79xHooKsyLr00dGj06FKaSDwAAQNOkyEKiOnbsGGeffXacffbZNceKi4tj/vz5B5Vb3n///SgrKzvoWuUWAAAAgOYjzRJLu4Lc+NrUodG7U5tU8gEAAGi6FFlIXdu2bePUU0+NU089teZYeXl5LFy48KByy3vvvRf79+8/6FrlFgAAAICmZ9ZH2+KxlEosbfJz446zh0a/Lm1TyQcAAKBpU2ShUeTn58fEiRNj4sSJNceqqqpi8eLFB5Vb5s2bF7t27Tro2iOVWwAAAABI38xl2+Lxd9IpsRTm5cTtZw2Jgd3apZIPAABA06fIQpORk5MTY8aMiTFjxsS0adNqjn/00UcHlVvmzp0bW7ZsOehaxRYAAACA9KVZYsnPzYm/OnNIDO3RPpV8AAAAmgdFFpq8YcOGxbBhw+Lqq6+uObZ27dqDyi1z5syJdevWNeKUAAAAAC1bmiWWgtycuO2sITGiV1Eq+QAAADQfiiw0S/3794/+/fvHpZdeWnNsy5YtMXfu3EacCgAAAKBlem3p1njy3XQ+RKTEAgAAwIEUWWgxevToERdeeGFjjwEAAADQory8eEv8+7z1qWQX5ObE7WcPieE9lVgAAAD4mCILAAAAAHBYf35/Uzy3YGMq2UosAAAAHI4iCwAAAABwkGw2G39asCn+/MGmVPIL8z7eTkiJBQAAgEMpsgAAAAAANbLZbDwzf0O8tHhLKvlKLAAAAHwaRRYAAAAAICI+LrH829z18eqSrankF+blxO1nDYlhSiwAAAAcgSILAAAAABDZbDYef2ddzPpoWyr5SiwAAADUhiILAAAAALRyVdlsTH9rbby1Ynsq+YV5OfHVs4fG0B7tU8kHAACg5VBkAQAAAIBWrKKqKh6evSbmrN6ZSr4SCwAAAHWhyAIAAAAArVRFVVU8MGt1zF+7K5V8JRYAAADqSpEFAAAAAFqh8sqquG/mqnh//e5U8pVYAAAAqA9FFgAAAABoZcoqquJ3r6+MxRv3pJKvxAIAAEB9KbIAAAAAQCtSWlEZv3l1ZSzbvDeV/Lb5ufHVs4fE4O5KLAAAANSdIgsAAAAAtBLFZZXxq1dXxMqt+1LJb1+QF1+dOiQGdm2XSj4AAAAtnyILAAAAALQCe0oq4pevLI91O4tTyS8qzIuvnzM0+nZum0o+AAAArYMiCwAAAAC0cDv2l8UvXl4em/eUppLfqW1+fG3q0OjdqU0q+QAAALQeiiwAAAAA0IJt2VMav3hleWzfV5ZKfud2+fHX5wyLHh0KU8kHAACgdVFkAQAAAIAWasOukvjlK8tjV3F5Kvnd2hfEX587LLq2L0glHwAAgNZHkQUAAAAAWqDV2/fHr15ZEfvKKlLJ79GhML5+ztDo0k6JBQAAgOQosgAAAABAC/PR5r3xm1dXRklFZSr5vTu2ia+dMzQ6tc1PJR8AAIDWS5EFAAAAAFqQRRv2xO9eXxnllVWp5Pft3Da+NnVodGjj0SIAAADJ824TAAAAAFqI+Wt2xQNvrIqKqmwq+QO6tos7zh4S7Qs9VgQAACAd3nECAAAAQAvw1ort8cibayMb6ZRYBndrF189e2i0LchNJR8AfNz3cQABAABJREFUAAAiFFkAAAAAoNl7fenWeOLddanlD+vRPm47a0i0yVdiAQAAIF2KLAAAAADQjL3wweZ49r0NqeWP7FUUt545OArzlFgAAABInyILAAAAADRD2Ww2nluwMf7ywebU7jG2b8f40pRBkZ+bk9o9AAAA4ECKLAAAAADQzGSz2fi3uevj1SVbU7vHxIGdY9qpAyIvR4kFAACAhqPIAgAAAADNSGVVNh59e228tWJ7avc4bWjXuOak/pGTyaR2DwAAADgcRRYAAAAAaCYqqqriwTdWx7w1u1K7x9TjesQXJvSJjBILAAAAjUCRBQAAAACagbKKqrh35spYtGFPave4aGyvuOj4XkosAAAANBpFFgAAAABo4orLK+OeV1fGsi17U7vHZRP6xrmjeqSWDwAAALWhyAIAAAAATdi+0or41YwVsXr7/lTyM5GJq0/sF1OGd0slHwAAAOpCkQUAAAAAmqhdxeXxy1eWx4ZdJank52QyMe3UATF5UJdU8gEAAKCuFFkAAAAAoAnavq8s7n55eWzdW5pKfl5OJr44ZVCM69cplXwAAACoD0UWAAAAAGhiNu8ujbtf+Sh27i9PJb8gNyduPXNwHNe7Qyr5AAAAUF+KLAAAAADQhKzbURy/eGV57C2tSCW/bX5u3HbWkBjao30q+QAAAHAsFFkAAAAAoIlYuXVf/GrGiigur0wlv6gwL+6YOjT6d2mbSj4AAAAcK0UWAAAAAGgClmzaG/e8tiJKK6pSye/cNj++ds7Q6NWxTSr5AAAAkARFFgAAAABoZO+v3x33vr4qKqrSKbF0LyqIr00dFt2KClLJBwAAgKQosgAAAABAI5qzemc89MbqqMxmU8nv3bFNfO2codGpbX4q+QAAAJAkRRYAAAAAaCSzl2+PR99aG9lIp8TSv0vbuGPq0Cgq9BgQAACA5sE7WAAAAABoBK98uCWenrs+tfwh3dvH7WcNibYFuandAwAAAJKmyAIAAAAADSibzcaf398cf1q4MbV7jOrdIb58xqAozFNiAQAAoHlRZAEAAACABpLNZuMP8zfEy4u3pHaPE/p3iptPGxj5uTmp3QMAAADSosgCAAAAAA2gKpuNJ95ZF7M+2pbaPU4a3CWuP3lA5OZkUrsHAAAApEmRBQAAAABSVlFVFY+8uTbeXbUjtXucMbxbXDW5X2QySiwAAAA0X4osAAAAAJCi8sqquH/Wqliwbndq9zhvdM+45ITeSiwAAAA0e4osAAAAAJCS0orK+N1rq+LDTXtSu8fF43rHBWN6KrEAAADQIiiyAAAAAEAKissq49evrogVW/eldo8rJvWLs0d2Ty0fAAAAGpoiCwAAAAAkbE9JRfxqxvJYu6M4lfxMZOL6k/vHKUO7ppIPAAAAjUWRBQAAAAAStHN/efzileWxaXdJKvm5mUzcdNrAmDiwcyr5AAAA0JgUWQAAAAAgIdv2lsXdL38U2/aVpZKfn5sTX54yKMb07ZhKPgAAADQ2RRYAAAAASMCm3SXxi5eXx87i8lTyC/Ny4razhsTwnkWp5AMAAEBToMiSosrKyti3b1+dr8vJyYmiopb/QKKkpCTKyur+6aTCwsIoLCxMYSIAAACA+lm/szjufnl57C2tSCW/XUFufPXsoTGoW7tU8gEAAKCpUGRJ0Ycffhjjxo2r83U5OTmxcuXK6NevXwpTNR3jx4+PZcuW1fm6n/3sZ/G1r30thYkAAAAA6m71tv3xyxnLY39ZZSr5HdrkxdemDo2+ndumkg8AAABNSU5jD9CSjRkzJsaPHx/ZbLZOX1VVVTF9+vTGHj9V77zzTixdurTOP5v8/Py4/vrrG3t8AAAAgIiI+Gjz3rj75fRKLJ3b5cffnDdciQUAAIBWQ5ElZbfccktERGQymVp/RUQ89NBDjTl26h5++OGIqP3Ppfrcz372s9GlS5fGHB0AAAAgIiI+3LgnfjljRZRUpFNi6dGhMP7HecOjRwdbLAMAANB6KLKk7Prrr4/c3Nyafz/aiiPV5yxYsCAWLlzYWGOnqqqqKh599NGagkptfibVbrrppsYYGQAAAOAgC9ftjt+8uiLKK6tSye/buW1889xh0aV9QSr5AAAA0FQpsqSsZ8+eceGFF36ikFEb1auWtDQvvvhibNq0KSLiqD+X6rJLRETnzp3jkksuSXU2AAAAgKOZs3pn3Pv6yqioqvvzntoY1K1d/PU5Q6Nj2/xU8gEAAKApU2RpADfffHOdzs9kMpHNZuORRx5JaaLGVdeCTjabjUwmE9dcc03k53uAAwAAADSeN1dsjwdmrY7KenxoqTaG9yyKr00dGu0L81LJBwAAgKZOkaUBXHbZZdGxY8eIOHiFkcM5cIWStWvXxowZM1KdraGVlJTE008/fdSfw+HYVggAAABoTK8v3RqPvLkmspFOiWVMn47x1bOHRJv83KOfDAAAAC2UIksDaNOmTVx55ZX12l6opa3K8swzz8SePXsiom7bCg0dOjROP/30VGcDAAAAOJIXF22OJ95dl1r+xAGd4ytnDor8XI/rAAAAaN28M24g9d1e6Mknn4zy8vKUpmp49d1WaNq0aSlNBAAAAHBk2Ww2/rRgYzwzf0Nq9zh1aNe4+fSBkZfjUR0AAAB4d9xAzj777Bg4cGBE1G17oZ07d8Yf//jHVGdrKNu3b4///M//tK0QAAAA0Cxks9n4w/wN8fz7m1K7x1kju8d1J/WPnHo8LwEAAICWSJGlAd1444312l7ooYceSmGahvfEE0/UrC5Tm22FqldjOfXUU2Po0KENMSIAAABARHz87OLJd9fFy4u3pHaPC0b3jCsm9q3Xh34AAACgpVJkaUD13V7oT3/6U+zatSulqRpOXbcVqlbXnxsAAADAsaisysbDb66J15dtS+0eF4/rHZ8f30eJBQAAAA6hyNKAjjvuuDjxxBNrVhr5NAeuWFJWVhZPPvlk2uOlatWqVTFz5sxaPZw58JyCgoK49tpr0xwNAAAAoEZFVVU8+MbqeHvljtTucfnEvnHh2F6p5QMAAEBzpsjSwG666aZ6XdfctxeaPn16TTmnNtsrVZd9Lr744ujcuXPK0wEAAABElFdWxb2vr4q5a3amkp+JTFxzYv+YelyPVPIBAACgJVBkaWDXX3995OXlRUTUenWSbDYbr732Wqxduzbt8VLz8MMP12up3PoWfwAAAADqorSiMn7z6op4f/3uVPJzMpm48dQBMWV4t1TyAQAAoKVQZGlg3bt3j4suuqjWq5Ic+M/Tp09Pc7TUvPfee/H+++9HxNFXYzmw7NK1a9e4+OKLU50NAAAAoLisMn75yopYsmlvKvl5OZn44umD4qTBXVLJBwAAgJZEkaUR3HzzzXW+JpvNNtvthR5++OE6nV+9rdC1115bs3oNAAAAQBr2lVbEL15ZHiu27kslPz83J75yxuAYP6BTKvkAAADQ0iiyNIJLLrkkOnX6+OHF0bbbqS51REQsXLgwFixYkPp8SapeSca2QgAAAEBTs6ekIu5+eXms3r4/lfzCvJy47awhMaZvx1TyAQAAoCVSZGkEhYWFcdVVV9Vqe6FD1XV1k8b26quvxtq1ayOibtsKDR8+PE455ZRUZwMAAABarz0l5XH3yx/Fup3FqeS3zc+NO6YOjZG9ilLJBwAAgJZKkaWR3HLLLXU6P5PJRDabjUceeSSlidJR322FrMYCAAAApGVXcXn87KXlsWFXSSr57Qvy4uvnDI0h3dunkg8AAAAtmSJLIznjjDNi8ODBEVG77YWqrVu3Ll555ZUUJ0tOWVlZPPnkk/XaVmjatGkpTAQAAAC0djv3l8fPX/ooNu1Op8TSsU1+fOO8YTGga7tU8gEAAKClU2RpRDfeeGOL3l7oueeei507d0ZE7bYVql6NZcqUKTUlHwAAAICk7NhXFj976aPYvKc0lfzO7fLjm+cNiz6d2qSSDwAAAK2BIksjuvnmm+t0fnXZ46mnnoqysrKUpkpOfQs3df25AAAAABzN9n1l8dOXPoqte9MpsXQvKoy/OW949OhQmEo+AAAAtBaKLI1oxIgRccopp9SsRPJpDlzRZNeuXfHss8+mPd4x2bVrVzz33HO12lbowHMKCwvjmmuuSXM0AAAAoJXZsqc0/t+Ly2L7vnQ+GNS7Y5v45nnDomv7glTyAQAAoDVRZGlk06ZNq9d1TX17oaeeeipKSz/+hFNttk+qLvN8/vOfj44dO6Y9HgAAANBKbN5dGj976aPYub88lfz+XdrGX587LDq1zU8lHwAAAFobRZZGdv3110d+/scPOmq7ekk2m43/+I//iJ07d6Y8Xf3ZVggAAABobBt3lcTPXvoodhWnU2IZ3K1d/PU5w6JDm7xU8gEAAKA1UmRpZF27do3Pfe5ztV61pFpZWVk8+eSTaY5Wb+vXr48ZM2bUeVuh7t27x2c/+9k0RwMAAABaifU7i+NnL30Uu0vSKbEM71kUd0wdGm0LclPJBwAAgNZKkaUJuOmmm+p13YMPPpjwJMmYPn16VFVVRUTdthW69tprIzfXwx8AAADg2KzbURw/f2l57C2tSCV/dJ8O8dWzh0SbfM8xAAAAIGmKLE3A5z//+ejSpUtE1G17oZkzZ8aaNWvSHq/ObCsEAAAANJbV2/fHz1/+KPaVpVNiOaF/p/jKGYMjP9djNQAAAEiDd9xNQEFBQVx99dV13l4om83GI488kuZodbZo0aKYN29eTdnm0xxY2jnuuOPixBNPTHs8AAAAoAVbtW1//OLl5bG/rDKV/IkDOsctpw9UYgEAAIAUedfdRNRnNZJsNhsPPfRQCtPUX11XY6neVmjatGkpTQQAAAC0Bqu27Y9fvLI8isvTKbFMHtQlbjptYOTleJwGAAAAafLOu4k4/fTTY+jQoRFx9O2FqssfEREffPBBzJ8/P/X5auuRRx6p9fZIB/7zTTfdlOZYAAAAQAu2etv++OUry6MkpRLLyUO6xrRTB0RuztGfeQAAAADHRpGlCZk2bVqtthc6VFPZXmjWrFmxcuXKiIhab5OUyWTizDPPjAEDBqQ8HQAAANASrU55JZbThnaNG07uHzm1+OAOAAAAcOwUWZqQuq5KkslkIpvNNpkiS123FapmNRYAAACgPtIusZwxvFtce1L/Wq0+CwAAACRDkaUJGTZsWJx++ukHbR10JAeueLJ+/fp4+eWX0x7vU1VUVMTjjz9e522F2rRpE1dffXWaowEAAAAt0Ort6ZZYzhrZPa6a3E+JBQAAABqYIksTM23atHpdV9/VUJLy/PPPx7Zt2yKibtsKXXrppdGhQ4e0xwMAAABakDXb98cvUyyxnDOqR1wxsa8SCwAAADQCRZYm5rrrrouCgoKIiFqvbpLNZuOpp56KsrKytMc7ItsKAQAAAA1hzX+txLK/LJ0Sy/mje8Zl4/sosQAAAEAjUWRpYjp37hyf//zna72qSbXdu3fHM888k+ZoR7Rv3774wx/+UOdthXr27BkXXXRRmqMBAAAALcjaHcWpllg+M7ZXfP6E3kosAAAA0IgUWZqg+q5S8tBDDyU8Se08/fTTUVxcHBF121bouuuui5wcfwUBAACAo1u7ozh+8XJ6JZbPHd87PjdOiQUAAAAamxZBE3TxxRdHt27dIqJu2wv953/+Z+zcuTPl6T7JtkIAAABAmqpLLPvKKlLJv+SEPvGZ43ulkg0AAADUTV5jD8An5eXlxTXXXBO//OUvj1pkqV7dJCKivLw8Hn/88bjtttsaYsyIiNi8eXO88MILdSrcRESMHj06Jk2alPZ4AAAAwH/ZtWtX/PnPf/7Ucy688MLo1KlTA01UO+tSLrF8YULfOGdUj1SyAQAAgLqzIksTdfPNN9fruobeXuixxx6LysqPl/StzbZCER8XWqzGAgAAABzN+p3FcXeKJZYrJvVTYgEAAIAmRpGliTrllFNixIgREVG37YVmzZoVq1evTnu8GrXdVujA15DJZGLatGlpjQQAAAC0AGmXWK6c1C/OHtk9lWwAAACg/hRZmrBp06bVapWTA8/JZrPxyCOPpDlWjWXLlsVbb7110JZBn6Z6G6SpU6dGv379GmBCAAAAoDnasKsk7n55eewtTW8llrOUWAAAAKBJUmRpwm666aaalUxqsypLxMdlkYbaXqi+hRnbCgEAAABHsnl3adz98kfplVgm9rUSCwAAADRhiixN2ODBg2PKlCl1Wu0kImLRokUxb968lKf7eFuh2m57VK1t27Zx1VVXpTkWAAAA0Ext3ftxiWVPSTollssn9o2zj+uRSjYAAACQDEWWJq6+q5c8/PDDCU9ysHfeeSeWLl0aEVGnos0XvvCFaN++faqzAQAAAM3Pjv1lcffLy2NncXkq+ZdP7BtTlVgAAACgyVNkaeKuueaaKCwsjIjabS+UyWQim83G9OnTU52rvkUZ2woBAAAAh9pVXB4/f2l5bN9Xlkr+FyYosQAAAEBzocjSxHXq1CkuueSSWq96Um3Dhg3x4osvpjJTVVVVPProo3XeVqh3795x4YUXpjITAAAA0DztKamIX7y8PLbuLU0l/7IJfeOcUUosAAAA0FwosjQDN998c72uS2t7oRdffDE2bdoUEXXbVuj666+vVfkFAAAAaB32lVbEL19ZHht3l6SSf+n4PnGuEgsAAAA0K4oszcBFF10U3bt3j4i6bS/0b//2b1FamvynmR566KF6XWdbIQAAAKBacVll/GrGili3sziV/EvH94nzRvdMJRsAAABIjyJLM5CXlxfXXnttnbcX2rNnTzzzzDOJzlJcXBxPP/10nQo1ERHHH398jB8/PtFZAAAAgOaptKIyfv3qili9fX8q+ZecoMQCAAAAzZUiSzNxyy231Ou6+q6eciTPPPNM7N27NyJqt61QxMeFFquxAAAAABER5ZVV8dtXV8aKrftSyf/8CX3i/DFKLAAAANBcKbI0EyeeeGKMGjUqIuq2vdDzzz8fO3bsSGyOhx9+uFbnHThjTk5O3HjjjYnNAAAAADRP5ZVVcc9rK2Pp5r2p5F88rndcoMQCAAAAzZoiSzMybdq0Om8vVF5eHo8//ngi99++fXs8//zztSrSVM+RyWTi3HPPjT59+iQyAwAAANA8VVRVxf2zVsXijXtSyb94XO+4cGyvVLIBAACAhqPI0oxMmzatpkRS2zJJRHLbCz3++ONRXl4eEbXfVigibCsEAAAArVxlVTYeemNNLFi3O5X8zx7fS4kFAAAAWghFlmZk4MCBcdZZZ9V6VZbq7YVmzZoVq1atOub712dbofbt28cVV1xxzPcGAAAAmqdsNhvT31oTc9fsTCX//NE94zNKLAAAANBiKLI0M/Vd3eSRRx45pvuuWrUqZs2aVedthS6//PJo167dMd0bAAAAaJ6y2Ww8/s66eHvljlTyzxrZPT5/Qu86rVwLAAAANG2KLM3M1VdfHW3atImI2m8vlM1mj3l7oUceeaRmJRjbCgEAAAC18ex7G2PWR9tSyT59WLe4YmJfJRYAAABoYRRZmpkOHTrEZZddVqfthSIiFi9eHHPnzq33fR9++OFaPRg68Jy+ffvGeeedV+97AgAAAM3XCx9sjhcXbU4l+6TBXeKaE/spsQAAAEALlNfYA1B3N998czz22GN1vu7hhx+OiRMn1vm6+fPnxwcffBCZTKZOBZobbrjBAyUAAABoIrLZbCxYsCBmzJgRS5cujR07dkRpaWkUFhZGly5dYsSIEVFYWBiXXHLJMb+fn7lsWzz73oaEJj/YxAGd4/qTB3jmAAAAAC2UFVmaoQsvvDB69uwZEbXbXqi6gDJ9+vQ6bQtU7eGHH67zNRG2FQIAAICmoLS0NH72s5/FySefHD/4wQ/i1VdfjQ0bNkRJSUlks9koKSmJDRs2xKuvvhqXXXZZjB49On72s59FWVlZve737qod8cQ76xJ+FR8b169jTDttQOTmKLEAAABAS6XI0gzl5ubGddddV+vVUapt3LgxXnzxxTrdq7oAU5fCTETECSecEMcff3yd7gUAAAAka9GiRTFx4sT45je/GUuXLq3VNR9++GF885vfjAkTJsTixYvrdL8P1u+Oh2eviWzU/YM0RzO6T4e45fRBkZfjcRYAAAC0ZN75N1O33HJLva576KGH6nT+jBkzYt26jz9FVdvVXDKZTNx88811ng0AAABIzuzZs2PKlCmxaNGiel2/aNGiOP3002P27Nm1Ov+jzXvj3pmrorIeq8EezYieRfGVMwZHfq5HWQAAANDSefffTE2cODHGjBkTEXXbXujpp5+O0tLSWt+nttsKHThDbm5u3HDDDbW+BwAAAJCsRYsWxWc/+9nYsWPHMeXs2LEjPve5zx11ZZY12/fHb15bGeWVVcd0v8MZ0r19/NVZSiwAAADQWngC0IxNmzatztsL7d27N/793/+9VvllZWXx5JNP1qooU32fTCYT5513XvTq1atW1wAAAADJKi0tjSuvvDJ27tyZSN6OHTviiiuuiLKyssN+f/Pu0vjVjBVRUl6ZyP0ONLBru7j97CFRmJebeDYAAADQNCmyNGM33XRT5PzXvtC1LZtE1H6Vleeeey527doVEbXfVigibCsEAAAAjeg3v/lNvbcTOpJFixbFr3/9608c37GvLO5+5aPYW1qR6P0iIvp1bhtfPXtItM1XYgEAAIDWRJGlGevXr19MnTq11iWT6u2Fnn/++di+fftRz6/PtkJFRUVx+eWX1+o6AAAAIFnZbDZ+/vOfp5J99913H/QMYk9JRfzileWxc3954vfq3bFN3DF1aLQvzEs8GwAAAGjaFFmauWnTptXqvAMfNFVUVMTjjz/+qefv2rUrnnvuuTpvK3TFFVdEmzZtanUNAAAAkKyXXnoplixZkkr2hx9+GC+//HJERBSXVcavZiyPzXtKE79P96LC+No5Q6NDGyUWAAAAaI0UWZq5q666Ktq1axcRddte6MEHH/zU7z/11FNRWvrxwyjbCgEAAEDz8MADD6SeX1ZRFb95dUWs3VGceH7ndvnx1+cMjU5t8xPPBgAAAJoHRZZmrqioKL7whS/UqmxSvWpKNpuN2bNnx8qVK494bn22Ferfv3+cc845tboOAAAASN4bb7yRav6sWbPi3pkrY/nWfYlnFxXmxdenDosu7QsSzwYAAACaD0WWFuCmm26q13VHKqusX78+ZsyYUedthW644YZ6zQEAAAAkY8OGDanmr1m3IRZt2JN4bpv83Lhj6tDo2bEw8WwAAACgeVFkaQEuuOCC6N27d0TUbnuh6lVZHnroocN+f/r06VFVVRURthUCAACA5mTfvuRXSjlQSXHy+fm5OXHbmYOjf5e2iWcDAAAAzY8iSwuQk5MT119/fa23F6q2ZMmSePfddz9xTl22FarOmzhxYowePbqWEwMAAABpaN++far5+W3aJZqXm8nEl6cMimE9ixLNBQAAAJovRZYWor6roTzyyCMH/fuiRYti3rx5B5VUjiaTyViNBQAAAJqAPn36pJrfvlO3xLIykYlppw2MMX07JpYJAAAANH+KLC3E+PHjY9y4cZHNZuu0vdD06dMPKqzUZTWWanl5eXH99dfXfWgAAAAgUaeddlqq+X1Gjk8s6+oT+8WkgZ0TywMAAABaBkWWFmTatGm1Ou/A4sqmTZvihRdeqPn3Rx55pFZFmOqcTCYTF1xwQfTo0aNuwwIAAACJS3vF1FFnXpJIziUn9Ikpw5Nb3QUAAABoORRZWpAbb7wxcnI+/pXWtowS8d+rsMyaNStWrlwZEVHrbYUi0n9IBgAAANTOueeeG8cdd1wq2V36Do7+Y0865pzzRveM88f0TGAiAAAAoCVSZGlB+vbtG+edd16tSyjV2ws9/fTTUVJSUq9thTp27BiXXXZZveYFAAAAkpXJZOLrX/96KtknXHBtnT44czinD+sWl5zQO6GJAAAAgJZIkaWFqc/2Qnv37o0nnngiHn/88TpvK3TllVdGYWFhvWYFAAAAknfbbbfF6NGjE83s0m9oHH/+VceUMXFg57j6xH7HXIYBAAAAWjZFlhbmyiuvjPbt20dE3bYX+tu//dvYtm1bRNhWCAAAAJqzwsLCeOqpp6JLly7J5LXvGBf/z/8TuXn59c4Y3adDTDt1QOQosQAAAABHocjSwrRr1y4uv/zyWpVRDjxn8+bNnzh2OAeWYwYOHBhnnXVWPScFAAAA0jJ69Oj405/+dMxllsL2HePSv/95dO03pN4ZQ7q3jy9PGRx5OR5DAQAAAEfnCUILVNdVUqq3CarrtkI33nhjfcYDAAAAGsCpp54as2bNqvc2Q136DY2rv39/9BlxQr1n6N+lbdx+1pAoyPMICgAAAKgdTxFaoPPOOy/69u0bEXXbXqguWwpFRNx00011Oh8AAABoWKNGjYp58+bFT3/60xgxYkStrunSd3Ccfcvfxw13PnZMK7F0LyqMr549JNoW5NY7AwAAAGh98hp7AJKXyWTihhtuiLvuuqtOq6zUJrf6vBNPPDGOO+64Y5oTAAAASF9BQUF84xvfiJtuuin+9V//NWbMmBFLliyJnTt3RklJSeQWtIk2HbpGt8GjY/z5V8agE06t0wdjDqeoMC++evaQ6NAmP6FXAQAAALQWiiwt1M033xx33XVXKtmZTMZqLAAAANDMZDKZOP744+P444+PiIgNxbkxc1u7OPCzLT169DjmEkthXk589ewh0aND4THlAAAAAK2TrYVaqOOPPz4mTJgQ2Wz2mB9ARRy8RVFeXl5cf/31x5wJAAAANI5tpTnxxva2Ucddho8qLycTXzljcAzo2i7ZYAAAAKDVUGRpwaZNm5ZoXnUp5qKLLopu3bolmg0AAAA0jL0VmXh9W7uorDr2D74c6oZTBsRxvTskngsAAAC0HoosLdiNN94Yubm5ERGJrMpSzbZCAAAA0DyVVka8trVdlFUmX2L5woS+MXlQl8RzAQAAgNZFkaUF69WrV1xwwQWRPcZ1gg8swXTq1CkuvfTSYx0NAAAAaGDllVUxa1u72Fue/OOgc0b1iHNG9Ug8FwAAAGh9FFlauKRWT6neVujqq6+OgoKCRDIBAACAhpHNZuOpeZtja2lu4tmTB3WJy8b3STwXAAAAaJ0UWVq4L3zhC9Ghw8d7UyexvZBthQAAAKD5eW7Bxnhv3d7Ec4/r1SFuOKV/olsaAwAAAK2bIksL17Zt27jiiivqvb3QgQ+iBg8eHGeccUZSowEAAAANYPby7fGXDzYnntu/S9v48hmDIi/H4yUAAAAgOZ40tAI333zzMV1fva3QtGnTEpoIAAAAaAgfbtwTj729NvHc7kUF8dWzh0Sb/OS3KgIAAABaN0WWVmDq1KkxYMCAiDi27YVsKwQAAADNx/qdxXHvzFVRVc9VWo+kqDAvvnr20OjQJj/RXAAAAIAIRZZWIZPJxA033FDn7YUymUzNaiynnHJKDB8+PKUJAQAAgCTtKi6PX7+6IkrKKxPNLczLidvPGhI9OhQmmgsAAABQTZGllTjW7YWsxgIAAADNQ2lFZfzm1RWxc395orm5mUx8acrgGNitXaK5AAAAAAdSZGklRo8eHZMmTapZYeVoDjwnPz8/rrvuujTHAwAAABJQWZWN+2etjrU7ihPPvv6UATG6T4fEcwEAAAAOpMjSihy4qkomk/nUrwPP+9znPhddunRpjJEBAACAWspms/H03PXx/vrdiWdfckKfOGmwZwMAAABA+hRZWpEbbrghcnNzI5vN1unLtkIAAADQ9M1YsjVeW7o18dzThnWL80b3SDwXAAAA4HDyGnsAGk6PHj2ivDzZ/bEBAACAxjd/za7497kbEs8d1btDXDW5b622KQYAAABIghVZAAAAAJqxlVv3xYOzV0c2sonm9u3cNr44ZVDk5Xh8BAAAADQcTyIAAAAAmqlte8vit6+tjPLKqkRzO7XNj9vOGhxt83MTzQUAAAA4GkUWAAAAgGaouLwyfvPqithbWpFobmFeTtx21pDo0q4g0VwAAACA2lBkAQAAAGhmqrLZeGDW6ti4uyTR3Ewm4ounD4r+XdommgsAAABQW4osAAAAAM3MM/M3xAcbdieee8m4HjGmb8fEcwEAAABqS5EFAAAAoBl5c/n2eHnxlsRzR3Yoi1MHd0o8FwAAAKAuFFkAAAAAmomPNu+Nx99Zm3huv3blcUKn0sRzAQAAAOpKkQUAAACgGdi2tyzunbkqKqqyieZ2LayMU7qWRCaTaCwAAABAvSiyAAAAADRxJeWV8dvXVsTe0opEc9vnVcWUbsWRq8QCAAAANBGKLAAAAABNWFU2Gw+8sTo27CpJNDc/JxtndC+ONrnJrvACAAAAcCwUWQAAAACasGfnb4j31+9ONDMnEzGle3F0zK9KNBcAAADgWOU19gAAAAAAHN6bK7bHS4u3JJKVl58Xffr2iYiIm04dGCcO7pJILgAAAECSrMgCAAAA0AQt37IvHn97beK5nzu+txILAAAA0GQpsgAAAAA0Mdv3lcXvXl8ZFVXZRHMnDewcF47tmWgmAAAAQJIUWQAAAACakNKKyvjtaytjb2lForkDu7aLG04ZEJlMJtFcAAAAgCQpsgAAAAA0EdlsNh58Y3Ws31mcaG7ntvlx65mDIz/XoyAAAACgafP0AgAAAKCJ+ON7G2PBut2JZubn5sStZw6OTm3zE80FAAAASIMiCwAAAEAT8PbKHfHCos2J5047dUAM6Nou8VwAAACANCiyAAAAADSyVdv2x6NvrUk893PH944JAzonngsAAACQFkUWAAAAgEa0u7g87n19ZVRUZRPNnTiwc1w4tmeimQAAAABpU2QBAAAAaCQVVVVx38xVsbO4PNHcgV3bxY2nDIhMJpNoLgAAAEDaFFkAAAAAGsnTc9bH8q37Es3s1DY/bj1zcOTneuwDAAAAND+eaAAAAAA0gtnLt8fry7YlmpmfmxO3njE4OrXNTzQXAAAAoKEosgAAAAA0sFXb9scT76xNPPfGUwbEwG7tEs8FAAAAaCiKLAAAAAANaHdxedz7+sqoqMommnvR2F4xcWDnRDMBAAAAGpoiCwAAAEADqaiqivtmroqdxeWJ5k4c0DkuOr5XopkAAAAAjUGRBQAAAKCB/PvcDbF8675EMwd0bRc3nDIgMplMorkAAAAAjUGRBQAAAKABvLl8e7y2dGuimZ3a5setZwyOgjyPeAAAAICWwVMOAAAAgJSt2rY/Hn9nbaKZeTk5cesZg6Nzu/xEcwEAAAAakyILAAAAQIr2lJTHva+vjIqqbKK5153cPwZ2a5doJgAAAEBjU2QBAAAASElFVVXcN3NV7CwuTzT3rJHd46TBXRLNBAAAAGgKFFkAAAAAUvLvczfER1v2JZo5vEdRXDahT6KZAAAAAE2FIgsAAABACt5cvj1eW7o10czO7fLji1MGRV6ORzoAAABAy+SpBwAAAEDCVm3bH4+/szbRzLycnPjKlMHRoU1eorkAAAAATYkiCwAAAECC9pSUx72vr4yKqmyiudee1C8GdmuXaCYAAABAU6PIAgAAAJCQyqps/H7m6thZXJ5o7lkju8fJQ7ommgkAAADQFCmyAAAAACTkuQUbY9mWvYlmDu9RFJdN6JNoJgAAAEBTpcgCAAAAkIAF63bFi4s2J5rZuV1+fHHKoMjL8QgHAAAAaB08BQEAAAA4Rlv2lMbDs9ckmpmXkxNfmTI4OrTJSzQXAAAAoClTZAEAAAA4BuWVVfH7WauiuLwy0dxrT+oXA7u1SzQTAAAAoKlTZAEAAAA4Bk++uy7W7ihONPOskd3j5CFdE80EAAAAaA4UWQAAAADq6c3l22P28u2JZg7vURSXTeiTaCYAAABAc6HIAgAAAFAPa3cUxxPvrks0s3O7/PjilEGRl+ORDQAAANA6eSoCAAAAUEfFZZVx38xVUV5ZlVhmXk5OfGXK4OjQJi+xTAAAAIDmRpEFAAAAoA6y2Ww8/Oaa2Lq3NNHca07qFwO7tUs0EwAAAKC5UWQBAAAAqIOXP9waC9btSjTzzBHd45QhXRPNBAAAAGiOFFkAAAAAamnZ5r3x7PwNiWYO7tYuvjCxT6KZAAAAAM2VIgsAAABALewuLo/7Z62Oqmw2scz2BXnxxdMHRV6ORzQAAAAAEYosAAAAAEdVWZWN+99YHbtLyhPLzEQmbjptYHRpX5BYJgAAAEBzp8gCAAAAcBR/WrAxlm3em2jmZ8b2jNF9OiSaCQAAANDcKbIAAAAAfIoF63bFC4s2J5o5qneH+MzxvRLNBAAAAGgJFFkAAAAAjmDr3tJ4ePaaRDM7t8uPm04bGDmZTKK5AAAAAC2BIgsAAADAYZRXVsV9M1dFcXllYpl5OZn40umDoqgwL7FMAAAAgJZEkQUAAADgMP597vpYu6M40czLJvSNwd3bJ5oJAAAA0JIosgAAAAAcYv6aXfH6sm2JZk4a2DnOHNEt0UwAAACAlkaRBQAAAOAA2/aWxfS31iSa2atjm7ju5P6RyWQSzQUAAABoaRRZAAAAAP5LRVVV3P/Gqigur0wsszAvJ748ZVAU5uUmlgkAAADQUimyAAAAAPyXP763MVZt259o5rUn9Y/endokmgkAAADQUimyAAAAAETEB+t3x8uLtySaeeaI7jF5UJdEMwEAAABaMkUWAAAAoNXbub88Hpq9JtHMQd3axWUT+iSaCQAAANDStaoiy5tvvtnYI9AMvfXWW409AgAAACmqymbjwTdWx76yisQy2xfkxRdPHxT5ua3q0QsAAADAMWtVT1NOO+20uPHGG2P16tWNPQrNwOrVq+P666+P0047rbFHAQAAIEXPL9wUy7bsTSwvE5mYdtqA6Nq+ILFMAAAAgNaiVRVZIiIeffTRGDVqVHz3u9+NvXuTe0hFy7F37974zne+E6NGjYrHHnussccBAAAgRUs27Y3n39+caOaFY3vGmD4dE80EAAAAaC1aXZElIqKkpCTuvPPOGDZsWPz0pz+N8vLyxh6JJqCsrCz+5V/+JYYOHRo//vGPo6SkpLFHAgAAIEV7SiriodmrIxvZxDKH9yyKi47vlVgeAAAAQGvTKossmUwmstlsbNmyJf7n//yfMXz48LjvvvuiqqqqsUejEVRVVcVvf/vbGD58ePzt3/5tbN26NbLZbGQymcYeDQAAgJRks9l4aPbq2FWc3Idbigrz4ubTBkaO95MAAAAA9dYqiywRH5dZqgsta9asiVtvvTXGjBkT06dPj2w2uU9i0XRVVVXFAw88EKNGjYqvfvWrsXbt2poCixILAABAy/bS4i2xeOOeRDNvPHVAdGqbn2gmAAAAQGvTKoss2Wy2pqxyYKFlyZIlMW3atBg1alQ88MADVmhpoSoqKuKee+6JkSNHxpe+9KVYtmzZJwosykwAAAAt14qt++KP721MNPO80T1jTJ+OiWYCAAAAtEatsshS7UiFlqVLl8aXvvSlGDlyZNxzzz1RVlbWyJOShOLi4vj5z38ew4cPj9tvvz2WL19+2AKLEgsAAEDLtb+sIu6ftTqqEnzvN7hbu/jcuF6J5QEAAAC0Zq26yFLtSIWW5cuXx+233x6DBg2KH/7wh7F9+/ZGnpT62Lx5c3zve9+LgQMHxt/8zd/E6tWrFVgAAABaoWw2G4+8uTZ27E/uAytt83PjltMHRV6ORywAAAAASfCU5QBHKrRs2rQp/vEf/zEGDhwY3/jGN2LJkiWNPCm1sWDBgrj11ltj0KBB8aMf/Si2bdumwAIAANCKvbZ0WyxYtyvRzOtPHhBd2xckmgkAAADQmimyHMaRCi379++PX/ziFzF69Oj4zGc+E88884wSRBNTUVERjz76aJx55pkxYcKEuO+++6K0tFSBBQAAoJVbu6M4/jBvfaKZZ47oHuMHdEo0EwAAAKC1y2vsAZqyQ8ssBx574YUX4oUXXogBAwbEbbfdFrfcckv069ev0WZt7T766KO499574957743NmzdHxMG/v2rKKwAAAK1PaUVl3D9rVVRUJfeesH+XtnHZhD6J5QEAAADwsVa5IsuBxZTaONIKLdlsNlavXh3f+973YvDgwXHRRRfFE088EWVlye21zZHt27cv7rvvvjjrrLNi5MiRceedd8amTZtqfjfHsgJLXf5+AAAA0LQ9PWd9bN5TmlheYV5O3HLaoMjPbZWPVQAAAABS1aqeuDz77LMxaNCgw67UURvVZYgDSxLVpZbKysr4y1/+Etddd1306dMnbrvttnjppZesAJKwioqKePbZZ+PGG2+M3r17x6233hozZ8484u+lPlsIHVh+GTx4cDz77LNpvBQAAAAawPw1u+KN5dsTzbzmxP7Rs2NhopkAAAAAfKxVFVkuvvjieP/99+Pv/u7vIi8v7xOrdtTFp63SsmPHjvjd734XF1xwQfTr1y+++c1vxuuvv67UUk/l5eXxn//5n/GVr3wlevXqFV/4whfi0UcfjX379iWy+kq1A3+PeXl58Z3vfCc++OCD+NznPpf0SwIAAKAB7NxfHo+9vTbRzFOGdI0TB3dJNBMAAACA/9aqiiwREW3bto0777wz5syZE2eeeeYnyih1dbhCy4Gllo0bN8bdd98dZ599dvTq1Su++MUvxtNPPx379+9P9HW1NDt27IiHHnoorrnmmujevXtcfPHF8fvf/z527NiR6OorEfGJEszZZ58d8+bNix/+8IfRpk2bpF8aAAAADSCbzcbDb66OfWUViWX27tgmrpzcN7E8AAAAAD4pr7EHaCxjx46NGTNmxPTp0+Pb3/52rFmz5hOFhro48PxDSzHV39u6dWs8+OCD8eCDD0ZBQUFMmTIlLrjggrjgggti0qRJCbyq5quysjLeeOON+Mtf/hJ/+ctf4p133onKysqI+OTP9kDHssrNob+jQYMGxY9//OO4+uqr650JAABA0/Dyh1tjyaa9ieXl5+bELacPjMK83MQyAQAAAPikTNZ+N1FcXBx33nln3HXXXVFcXFzvMsvhfFrx4sDvde3aNc4+++w444wzYsqUKTFp0qTIzW25D8dKS0vjzTffjNdffz1ef/31mDlzZuzd+98PGNMqrxyamc1mo127dvHtb387vvWtb1mBBaCZGDt2bHzwwQefOD5mzJh4//33G2EiAKApWbN9f/zfF5ZFRVVyjzyuPal/nD6sW2J5AAAAAJ+mNf+/kFa7IsuB2rZtG9///vfj1ltvjb//+7+Pxx57rGbrmohjK07UZqWWiIht27bF008/HU8//XTNTCeddFKceOKJMWnSpJg8eXKMHDmy3nM0psrKyli4cGHMmTMn5syZE++8807MnTs3ysvLa8459GecRnnlwNxsNhs5OTlx0003xQ9/+MPo169fIvkAAAA0rrKKqnjgjdWJllgmDuwcpw3tmlgeAAAAAEemyHKAAQMGxCOPPBLf+ta34u///u/jxRdfPKbthg71aaWWQ7+/f//+ePXVV+PVV1+tOVZUVBRjx46NUaNGxejRo2P06NFx3HHHxeDBgyM/P/+YZkvC/v37Y8WKFbF48eJYtGhRzdfixYujtLT0oHOPVlw53DnH4tDf4Wc/+9m48847Y9y4cYndAwAAgMb39Nz1sXlP6dFPrKXuRYVx7Un9D/u+FQAAAIDkKbIcxqRJk+Ivf/lL/PnPf45vf/vbMW/evEQLLYfLOFqxJSJiz5498eabb8abb775iWt79+4dgwcPjsGDB0ffvn2jV69e0bNnz+jVq1f06NEjOnbsGB06dIiOHTvWafuc/fv3x+7du2PPnj2xa9eu2Lx5c2zevDk2bdoUmzZtirVr18bKlStj5cqVsW3btqO+zgNnru25x+LQ39nJJ58cd955Z0ydOjXxewEAANC4FqzbFbM++uR70/rKy8nELacNjLb5LXfrXwAAAICmRpHlU1x44YVx4YUXxlNPPRX//M//HAsWLEi80FKtNsWWI90zm83G+vXrY8OGDfHGG28c9V65ublRWFgY+fn5kZeXF/n5+ZGbmxsVFRVRUVER5eXlUVFRESUlJVFVVVXn2Q91pE+tpVFcOfSe1feYNGlS/NM//VNccsklqd0TAACAxrOruDymv7k20cyLT+gTA7u1SzQTAAAAgE+nyFILV155ZVx55ZXxxBNPxA9+8INYuHBhRHyyLJGkw2UeqdzyadccTnVhJUlHW2I5zdLK4WZQYAEAAGg9stlsPDx7TewrS+697sheRXHOcd0TywMAAACgdnIae4Dm5Oqrr4733nsvnnjiiTjxxBMjm81GNputKZikvV929f0O/ap24BwN/fVp86VdYjncDGeccUb88Y9/jHfeeUeJBQAAoIWbsWRrfLhpT2J57Qvy4sZTBqb+Ph8AAACAT1JkqYcrr7wy3nrrrXjhhRfiggsuOKis0RCFlkN9WoHkWEslaeUm4XDbPF122WUxa9asePXVV+Nzn/tcg88EAABAw1q7ozienb8h0cxrT+4fndvlJ5oJAAAAQO0oshyDc889N55//vmYO3du3HTTTVFQUPCJQktT/PRWUy6nHM3hVoFp165d3HHHHfHBBx/E008/HaeeemojTwkAAEBDKKuoigffWB0VVcm9fz1tWLcY379TYnkAAAAA1I0iSwLGjx8f999/f6xZsyb+9//+39GvX79GX6WlpTnc9kHDhw+P//t//2+sW7cu7r777jjuuOMaeUoAAAAa0h/mrY+Nu0sSy+vZoTAun9gnsTwAAAAA6k6RJUHdu3ePf/iHf4gVK1bEU089FRdffHHk5OQ0i1VamqIDf17V5ZWCgoK49tpr489//nN8+OGH8c1vfjM6duzY2KMCAADQwN5fvzteX7YtsbzcTCZuOm1gFOblJpYJAAAAQN3lNfYALVFubm5cfvnlcfnll8eGDRvivvvui9///vexbNmyiPjkCi1NcQufxnJoyaf6ZzN+/Pj48pe/HNOmTYsuXbo0xmgAAAA0EbuLy+ORN9ckmvm5cb1jYNd2iWYCAAAAUHdWZElZnz594h/+4R9iyZIl8cYbb8Q3v/nN6N2792G3HmqNq7Uc7rVX/2yGDh0a3/3ud2PBggUxd+7c+MY3vqHEAgAA0Mpls9l4+M01sbe0IrHMET2L4rzRPRLLAwAAAKD+rMjSgE455ZQ45ZRT4l//9V9jxowZ8eSTT8YzzzwTa9eurTmnNazWcqRVVyIiRo4cGZdddllcffXVceKJJzb0aAAAADRxry3dFos37kksr11Bbtx46oBW98ESAAAAgKZKkaURZDKZmDp1akydOjV+/vOfx9y5c+OZZ56JZ599NubOnfuJlVoO1ZzKLUd6EFj9GnJzc+PUU0+NSy+9NC677LIYOXJkQ44HAABAM7J5d2k8M39DopnXnTQgurQrSDQTAAAAgPpTZGkCJk6cGBMnTox/+qd/im3btsWLL74YL774YrzwwguxYsWKg85tquWWT/vk2qGzjR49Os4///w4//zzY+rUqdGhQ4e0xwMAAKCZq6zKxkNvro7yyqrEMk8d2jXGD+iUWB4AAAAAx06RpYnp1q1bXHPNNXHNNddERMTatWvjjTfeiFmzZsUbb7wRc+fOjfLy8oOuOVK55XDqU3ipy/LKh+a3bds2TjzxxDj99NPjtNNOi9NPPz26d+9e5xkAAABo3V5YtDlWbdufWF73osK4YlLfxPIAAAAASIYiSxPXv3//uPrqq+Pqq6+OiIiysrL44IMPYv78+TVfixYtio0bNx4x48AiyrHu+X2kIkwmk4kBAwbEmDFj4oQTTojx48fH+PHj47jjjovc3NxjuicAAACt25rt++P5hZsSy8vNZOKW0wZGYZ73qwAAAABNjSJLM1NQUBATJkyICRMmHHR83759sWzZsli6dGmsWLEi1q1bF+vWrYv169fHhg0bYvv27bFnz556rciSk5MTHTp0iO7du0efPn2iX79+0bdv3+jfv38MHTo0RowYEcOGDYvCwsKEXiUAAAB8rLyyKh6avSYqE9xS97PjesfAbu0SywMAAAAgOYosLUT79u1rVkE5kmw2G7t27YqdO3fG/v37o6ysLMrLy6O8vDwqKysjLy8v8vPzIz8/PwoKCqJ9+/bRuXPn6NixYwO+EgAAAPhvzy3YGBt3lySWN7xHUZw3ukdieQAAAAAkS5GlFclkMtG5c+fo3LlzY48CAAAAR7Vs8954ZfHWxPLa5ufGtFMHRM4xbrsLAAAAQHpyGnsAAAAAgEMVl1fGw2+uiWwkt6XQtSf1jy7tCxLLAwAAACB5iiwAAABAk/Pvc9fH9n1lieWdNLhLTBzYObE8AAAAANKhyAIAAAA0KQvX7Y7Zy7cnlte1fUFcOblfYnkAAAAApEeRBQAAAGgy9pRUxPS31iSaecPJA6Jtfm6imQAAAACkQ5EFAAAAaBKy2Ww88c7a2FtakVjm1ON6xIheRYnlAQAAAJAuRRYAAACgSXhn1c6Yv3ZXYnm9O7aJz5/QO7E8AAAAANKnyAIAAAA0uh37y+Kpd9cllpebycSNpw6I/FyPPgAAAACaE09zAAAAgEaVzWbjkTfXRHF5ZWKZnxnbKwZ2bZdYHgAAAAANQ5EFAAAAaFSvLd0WSzbtTSxvYNd2cd6YHonlAQAAANBwFFkAAACARrN5d2k8M39DYnn5uTkx7dQBkZfjkQcAAABAc+SpDgAAANAoKquy8dCbq6O8siqxzEvG94leHdsklgcAAABAw1JkAQAAABrFC4s2x6pt+xPLG9GzKM4a0S2xPAAAAAAaniILAAAA0ODW7SiO5xduSiyvTX5u3HjKgMhkMollAgAAANDwFFkAAACABlVRVRWPvLUmKrPZxDKvnNQ3urQvSCwPAAAAgMahyAIAAAA0qBcXbYm1O4oTyzuhf6c4aXCXxPIAAAAAaDytvsjy93//9/HYY4/F0qVLG3sUAAAAaPHW7yyOP7+f3JZCRYV5cc2J/W0pBAAAANBC5DX2AI3tJz/5Sc3DrqKiohg/fnxMmjQpJk2aFBMnToyxY8dGTk6r7/sAAADAMauoqoqH31wTFVXJbSl03cn9o0ObVv94AwAAAKDF8KTnv2Sz2dizZ0/MnDkzZs6cWXO8sLAwxo0bFxMnTqwpuIwbNy4KCwsbcVoAAABofl5KeEuhU4Z0jXH9OiWWBwAAAEDjU2T5L9WrsmSzB38qrKSkJN5+++145513ao7l5ubG6NGja1ZtmTRpUkyYMCGKiooadGYAAABoLtbvLI7nE9xSqGv7grh8Ut/E8gAAAABoGhRZ/ks2m41MJnPYPbWz2exBBZeKiopYsGBBLFy4MB544IGI+LgIM2zYsIO2JZo0aVJ07dq1wV4DAAAANEWVVdmY/tbaRLcUuuHkAdE2PzexPAAAAACaBkWWAxy6GktE1Lrcks1mY+nSpbFs2bJ4/PHHa44PGDDgoG2JJk6cGH37+sQYAAAArcfLi7fE6u37E8ubelyPGNHLqqgAAAAALZEiy1HUpdxyuPNXr14da9asiWeeeabmWM+ePWPixIkHFVyGDBmS7OAAAADQBGzcVRL/sXBjYnk9OxTG50/onVgeAAAAAE2LIks9HKnccuCfn3b+pk2b4vnnn4/nn3++5linTp1iwoQJB21LNGrUqCMWZgAAAKCpq6zKxiNvrUlsS6FMZOKGUwZEfm5OInkAAAAAND2KLAk5XLkl4tO3JjrQzp07Y8aMGTFjxoyaY+3atYsTTjjhoJVbjj/++MjL82sDAACg6Xvlwy2xaluCWwqN6h5DurdPLA8AAACApkcjImV12Zro0HP37dsXs2fPjtmzZ9ccy8/Pj7Fjxx60csv48eOjbdu2yQ8PAAAA9bRxV0n8acGmxPJ6diiMi8fZUggAAACgpVNkaQTHUm4pKyuLuXPnxrx582qO5eTkxMiRI2tWbakuuHTs2DHx2QEAAOBo/ntLoapE8jKRietPtqUQAAAAQGugyNJE1LXccuD5lZWVsWjRoli8eHE88sgjNceHDBly0LZEEydOjJ49e6bzAgAAAOC/JL2l0NnHdY+hPWwpBAAAANAaKLI0YcdSbomIWL58eaxYsSL+7d/+reZYnz59Dlq1ZdKkSTFgwIDkhwcAAKBV2rQ72S2FethSCAAAAKBVUWRpZupSbjnc+evXr48NGzbEc889V3Osa9euNcWW6j9HjBiR7OAAAAC0eFXZbDzyZrJbCt1w8oAoyLOlEAAAAEBrocjSAhyu3BLx6au3HGjbtm3x4osvxosvvlhzrKioKMaPH3/QtkRjx46NnBwPDwEAADi8Vz7cGittKQQAAADAMVBkacHqujXRgfbs2RMzZ86MmTNn1hwrLCyMcePGHbQt0QknnBAFBQXJDw8AAECzsnl3afxpwcbE8roX2VIIAAAAoDVSZKmnA8sgR1oRpSk6lnJLSUlJvP322/HOO+/UHMvLy4tRo0YdtHLLxIkTo317n5gDAABoLaqy2XjkrTVRXpnklkL9bSkEAAAA0AopstRTdcmjtiWQpqyu5ZYDzy8vL48FCxbEwoUL44EHHqi5dvjw4Qet3DJx4sTo2rVrei8CAACARvPqkq2xYuu+xPLOHNkthvUsSiwPAAAAgOZDkaUOMplMZLPZyGQy0blz5xg9enQsXLgwdu/e/YnzWnO5JZvNxpIlS2Lp0qXx+OOP1xwfMGBATamluuDSp0+fdF4AAAAADWL7vrJ47r0ktxQqiM+fYEshAAAAgNZKkaUOqkss2Ww2du7cGXv37o2nnnoqBg0aFHPnzo05c+bE3LlzY+7cubFly5aDrj1SCaQ6tzmoS7nlcOevXr061qxZE3/4wx9qjvXs2bOm2FL955AhQ5IdHAAAgFRks9l47O21UZbQlkIREdefPCAK83ITywMAAACgeVFkqaPqckY2m40FCxbEhRdeGJdddln85Cc/iauvvrrmvHXr1h1UbpkzZ06sWbPmoKzqAkhzXr3lSOWWA//8tPM3bdoUzz//fDz//PM1xzp16hQTJkw4aFuiUaNGHbEwAwAAQON4e+WOWLxxT2J5Z47oHsNtKQQAAADQqmWyzaUxkZKcnJyaVVbq4sBrMplM5Ofnxze/+c343ve+Fx06dDjsNdu3bz+o2DJ37txYunTpJ+7d3FduOZK6vK5Dz23Xrl2ccMIJB21LdPzxx0deni4WQGs0duzY+OCDDz5xfMyYMfH+++83wkQA0PrsKamI/9+fPox9ZRWJ5HVrXxB//9mRVmMBAAAAiNb9/0IUWepZZIn477LFgYWW7t27xw9+8IP4q7/6q1qtILJv376YN2/eQQWXDz74ICoqDn4QqNzyyXPz8/Nj7NixB21LNH78+Gjbtm0qswLQdLTm/3gDgKbi/lmrYs7qnYnlff2cYTGyl9VYAAAAACJa9/8LUWT5ryJLRP1LIYcrtIwbNy7+9V//Nc4555w655WVlcWCBQsOWrnlvffei+Li4sPe91DN/Vda19d14Pm5ublRVlaWylwANB2t+T/eAKApeH/97vjNqysSyztjeLe4+sT+ieUBAAAANHet+f+FtPp9WQYOHBirV6+OTCZT70JLNpv9xPXvvfdenH/++XHppZfGXXfdFcOGDat1XkFBQUyePDkmT55cc6yqqioWL1580Mot8+bNi127dh107YFzHDpjc3Gk1ViO9LoOPL+ysjLV2QAAAFq74vLKePydtYnldW1fEJdO6JNYHgAAAADNW05jD9DYPvzww/jnf/7naNeu3UErqtTVgYWKAwstzzzzTIwdOzb+9m//Nnbv3l3vOXNycmLMmDExbdq0+D//5//Eyy+/HDt27Ihly5bFE088Ed/5znfioosuip49e9bMcuhMh/tqLg59TYd7XQAAAKTvj/M3xM795YnlXX/ygCjMy00sDwAAAIDmrdVvLVRtw4YN8e1vfzseeuihg44nud1Q9+7d4wc/+EH81V/9VarFiw0bNhy0LdGcOXNi1apVh53vcJrjX4lMJlOzMo5VWQBavta8nB4ANKblW/bF/3txWWJ5pw/rFteeZEshAAAAgEO15v8XoshyiLfffjv+x//4H/HGG28cVPZIstAybty4+Jd/+Zc499xzj33gWtq5c+dBxZa5c+fGkiVLoqqq6rDzHqqp/zVRZAFoXVrzf7wBQGMpr6yKnzy/NDbtLkkkr1Pb/Pj/s3fnYXbW5f347zNrMpnskz0ECNlDVpBNBNkCsoiCW1WqbVVssbhhbbW/VoWvLRUVAUtR617ccKVsAdlkN2RPJhshQNbJnkwy+5zfH5qUISGZ5XNmfb2ui39On8/7uSf2Ipxz3nM///SWidG7yDYWAAAAgNfqyd+FFHT0AJ3NG97whnjyySfjJz/5SfzTP/1TvPzyy00eXdPSQseBcsWrzy9evDguuOCCuOyyy+Kmm26KcePGJf85XmvAgAFx7rnnNinP7N+/PxYtWtSk4LJs2bKoq2u6Ivr1Ht3T2cstAAAApDN3WUWyEktExDtPHqXEAgAAAMAhbGQ5gurq6viP//iP+MpXvhL79u1rdZnlgMNtZyksLIyPfexj8S//8i/Rr1+/NIO3QV1dXSxdurTJ5pZFixbF/v37m1zX2Ta32MgC0LP05BYyAHSEjbuq4qYHVkdDovd8s44ZEB9847FJsgAAAAC6o578XYgiSzNs3LgxPvvZz8add97Z5PWUhZaysrL40pe+FB/5yEdetyTSUbLZbKxcubLJ5paFCxfGzp07m1zXkeUWRRaAnqUn/8cbALS3xmw2bn5oTby0ff/RL26GkqL8+Ke3TIx+vQuT5AEAAAB0Rz35uxBFlhZ47rnn4hOf+EQ888wzTUobKQstJ554Ynzta1+L8847r+0D59i6deuabG6ZP39+bN68uck1RyrlpPx/PUUWgJ6lJ//HGwC0t0dXbo1fL9iYLO+9pxwTp44dlCwPAAAAoDvqyd+FFHT0AF3JKaecEk899VTceeed8U//9E/xyiuvRCaTafUjhw4UL159fsmSJTFnzpy49NJL46abborx48cn/zlSOe644+K4446Lt7/97Qdf27JlyyHllhdffLHJuQM/7+FKLnpVAAAAncf2ytq4Z/Hmo1/YTBOGlcYpxw9MlgcAAABA92MjSytVV1fHjTfeGF/5yldi//79rS6zHHC47SyFhYXxsY99LP7lX/4l+vXrl2bwDrB79+5YsGBBk4LLypUrD9mc0pZHE9nIAtCz9OQWMgC0l2w2G7c/+mKs3LI3SV5hfl7841smRFlpcZI8AAAAgO6sJ38XosjSRhs2bIjPfvaz8ZOf/KTJ6ykLLYMHD44vfelLcfXVVx/xUT1dSVVVVSxevLjJ5palS5dGbW1tk+uaW25RZAHoWXryf7wBQHt57sUd8T/PvpIs7/KZI+PcSUOS5QEAAAB0Zz35uxBFlkSeeeaZ+MQnPhHPPfdck/JFykLL1KlT42tf+1qcf/75bR+4E6qvr49ly5Y12dyyaNGiqKysbHLdkcotiiwAPUNP/o83AGgPe6vr49/uXRn7auuT5B0zqCQ+ef64yM/rHr+cAQAAAJBrPfm7kLyOHqC7OO200+KZZ56JH/7whzFq1KgmBZTWePX5A9tGli5dGhdeeGFcfvnlsXr16mSzdxYFBQUxY8aM+OAHPxi33HJL/OEPf4jdu3fHihUr4s4774zPfOYzcd5558XAgQMjm802+QcAAIB0fjV/Q7ISS34mE3/xhtFKLAAAAAA0i40sOVBVVRX//u//Hl/96ldj//79h2xXaanDbWcpLCyMa665Jv7lX/4l+vfvn2bwLuTll19usrll/vz5sXHjRhtZAHqIntxCBoBcW7ZxT3zr8ReT5V0wZWhcOn1EsjwAAACAnqAnfxdiI0sO9O7dO774xS/GihUr4j3vec8h21Va6sDWkVdvZ6mtrY2bb745xo8fH7fffns0Njam/jE6tTFjxsTll18eX/ziF+N3v/tdrF+/PrZs2RL33XdfR48GAADQZVXXNcTP561Plje0b3FcOHVYsjwAAAAAuj9FlhwaPXp03HnnnfHkk0/GySefnJNCy7Zt2+JjH/tYzJw5Mx566KHUP0KXMmTIkJgzZ05HjwEAANBl3bd0S+zaX5cs791vGB2F+T56AAAAAKD5fJrUDk4//fR49tln4wc/+EGMGDGiSaGlNV5biMlms7F06dK48MIL461vfWusWrUq2ewAAAD0DK/s2B+PrdyWLO+MEwbHuKGlyfIAAAAA6BkUWdrRVVddFatWrYrPf/7z0atXrybbVVrqwHaWiP8rxGSz2bjnnnti2rRp8alPfSp2796ddH4AAAC6p8ZsNn42b0NkI5skr3/vwnjrjBFJsgAAAADoWRRZ2llJSUlcf/31sWLFinjXu96Vk8cN1dXVxTe+8Y0YN25c3H777dHY2Jj6xwAAAKAb+cPq7fHKjv3J8t558qjoXZSfLA8AAACAnkORpYMcc8wx8dOf/jT+8Ic/xOzZs3NSaNm+fXt87GMfi5kzZ8aDDz6Y+kcAAACgG9i5vzbuWbwpWd6sYwbEtFH9k+UBAAAA0LMosnSwN77xjfHHP/4xvve978Xw4cMPeVxQS722EJPNZmPp0qVx0UUXxWWXXRarV69ONjsAAABd36/nb4ya+jSbPEuK8uPKk0YmyQIAAACgZ1Jk6SQ+8IEPxOrVq+Nzn/tcFBcXN9mu0lIHtrNE/F8hJpvNxr333hsnnnhifPKTn4xdu3alHB8AAIAuaOmGPbFo/e5keW+bOTL69ipMlgcAAABAz6PI0omUlJTEDTfcECtWrIh3vvOdOXncUF1dXdxyyy0xfvz4+M///M9obEzzW3cAAAB0LTX1DXHX8xuS5U0YVhqnHD8wWR4AAAAAPZMiSyc0ZsyY+NnPfhaPP/54zJo1KyeFlu3bt8ff//3fx4wZM2Lu3LmpfwQAAAA6ufuWbomd+2uTZBXm58W7Th7d6sfkAgAAAMABiiyd2Jlnnhnz5s2L//7v/47hw4cf8riglnptISabzcayZcviLW95S1x66aWxatWqZLMDAADQea3fWRWPrdyWLO/CqcNiSN/iZHkAAAAA9FyKLF3AX/3VX8WqVaviH//xH6O4uLjJdpWWOrCdJeL/CjHZbDbuu+++mDZtWnzyk5+MXbt2pRwfAACATqQxm42fz1sfjX9+b9hWw/v1inMmlSXJAgAAAABFli6iT58+8eUvfznKy8vjyiuvzMnjhurq6uKWW26J8ePHxze/+c1obGxM/WMAAADQwZ5csz1e2r4/Wd673zA6CvJ8vAAAAABAGj5p6mKOPfbY+MUvfhGPPfZYzJw5MyeFlu3bt8e1114b06dPjwceeCD1jwAAAEAH2V1VF/+7aHOyvNNPGBxjh/RJlgcAAAAAiixd1Jve9KaYN29efOc734lhw4Yd8riglnptISabzcby5cvj4osvjksvvTRWrVqVbHYAAAA6xq/nb4zq+oYkWaXFBXHZ9OFJsgAAAADgAEWWLiyTycRf//Vfx6pVq+Kzn/1sFBUVNdmu0lIHtrMcyD7w2n333RfTpk2LT3ziE7Fr166UPwIAAADtZNnGPbHglV3J8t4+a2T0KS5IlgcAAAAAEYos3UJpaWn827/9W5SXl8cVV1yRk8cN1dXVxa233hrjxo2L2267LRobG1P/GAAAAORITX1D3PX8hmR5E4f1jZOOHZAsDwAAAAAOUGTpRo477ri466674pFHHonp06fnpNCyY8eO+PjHPx7Tpk2LBx54IPWPAAAAQA48sKwiduyrTZJVkJcX7zx5VKsfbQsAAAAAR6LI0g2dffbZMX/+/PjWt74VQ4cOPeRxQS312kJMNpuN8vLyuPjii+OSSy6JlStXJpsdAACAtDbuqopHVmxNljdn6tAY0rc4WR4AAAAAvJoiSzeVyWTiQx/6UKxevTo+85nPRGFhYZPtKi11YDvLgewDhZb7778/pk+fHh//+Mdj586dqX8MAAAA2iCbzcbP/rg+Gv/8fq6thvfrFedOGpIkCwAAAAAOR5GlmystLY0bb7wxysvL421ve1uyxw0dyMhms1FXVxe33XZbjB8/Pm677bZobGxM+jMAAADQOk+9sCPWbd+fLO+dJ4+KwnwfJQAAAACQOz596iGOP/74+NWvfhUPP/xwTJs2LVmh5dXbWXbs2BEf//jHY9q0aXH//fen/hEAAABogT1VdXH3ok3J8k4bOyjGDS1NlgcAAAAAh6PI0sO8+c1vjgULFsR//dd/xZAhQ5oUWlrjcI8bKi8vj0suuSQuvvjiWLFiRbLZAQAAaL7fLNwUVXUNSbJKiwvirTNGJMkCAAAAgCNRZOmBMplMfOQjH4nVq1fHpz/96SgsLGyyXaWlXvu4oQOFlgceeCCmT58e1157bezcuTP1jwEAAMDrWLWlMp5/Kd37sMtnjog+xQXJ8gAAAADg9Siy9GB9+/aNr3zlK7Fs2bJ461vfmuxxQwcystls1NfXxze/+c0YP3583HrrrdHQkOa3AQEAADi8+sbG+OXzG5LljR9aGm84bmCyPAAAAAA4EkUW4oQTTojf/OY38dBDD8WJJ56YrNDy6u0sO3bsiE984hMxffr0uO+++1L/CAAAAPzZYyu3xeY91UmyCvIy8a6TR7f6cbQAAAAA0FKKLBx07rnnxoIFC+L222+PsrKyJoWW1jjc44bKy8vj0ksvjZtvvjnV2AAAAPzZzn21cf/SLcnyLpgyNIb2K06WBwAAAABHo8hCE3l5eXH11VfH6tWr41Of+lQUFhY22a7SUq993NABO3bsSDYzAAAAf/LrBRujtqExSdbQvsVx3uShSbIAAAAAoLkUWTisfv36xU033RRLly6Nyy67LMnjhgAAAMid5Zv2xKL1u5Plvevk0VGY72MDAAAAANqXT6Q4onHjxsVvf/vbmDt3bkydOrXNjxsCAAAgvbqGxvjl8xuT5Z1y/KAYP6w0WR4AAAAANJciC81y/vnnx8KFC+Ob3/xmDB48+ODjhgAAAOh4D5dvjW2VNUmy+hQVxOUzRyTJAgAAAICWUmSh2fLy8uJv//ZvY+nSpXHeeecpswAAAHQC2ypr4sHyimR5l80YHqXFBcnyAAAAAKAlfDLF68pms7F69epYunRpk3/WrFkTDQ0NkclkDj5qCAAAgPaXzWbjV/M3Rl1DY5K84waXxGljByXJAgAAAIDWUGQhIiJeeeWVg0WVJUuWxNKlS2PFihVRU9N0NbXiCgAAQOexdOOeWLZxT5KsTGTinSePtnkTAAAAgA6lyNLDbN269ZANK8uWLYu9e/c2ue71Ciuv/kBTqQUAAKDj1NY3xq/mb0yWd+b4wTF6YO9keQAAAADQGoos3VRlZWWTssqSJUti2bJlsXXr1kOubU5ppblnAAAAaB9zl2+JHftqk2T17VUQl0wbniQLAAAAANpCkaWLq62tjeXLlx+yZeWVV1455FqFFQAAgO6hYk9NPLLi0F9UaK3LZ46M3kX5yfIAAAAAoLUUWbqIxsbGWL16dZMNK0uXLo0XXnghGhsbm1yrsAIAANB9ZbPZuOv5DVHfmOZ93LghpXHysQOSZAEAAABAWymydEIvvfTSIRtWVq5cGTU1NU2uU1gBAADoeRa+sjtWbtmbJCsvk4krTxp5xPeRAAAAANCeFFk6UEVFRZOyypIlS2L58uVRWVnZ5DqFFQAAACIiqusa4tcLNibLO3tiWYwc0DtZHgAAAAC0lSJLO9izZ88hG1aWLVsW27ZtO+Ta7lRaOdzMfssPAACg9e5ftiV2V9UlyerfuzAumjosSRYAAAAApKLIklBNTU0sX768yYaVpUuXxoYNGw65tjsVViJef+7XzpzJZGLs2LExfvz49hgLAACg29i4qyoeW3noL0S01ttnjYxehfnJ8gAAAAAgBUWWVmhoaIhVq1YdsmVl7dq10djY2OTanlJYiTh07pKSkpg2bVrMmDEjZsyYETNnzoxp06ZFaWlprscE4M8aGxujtrY2amtrIz8/P4qLi6OgwF//ANDVZLPZ+OXzG6Mx0fvFicP6xsxj+ifJAgAAAICUfJN1FOvWrWtSVlmyZEmsWrUqamtrm1zX3QorEc3fshIRMXr06IOFlQP/jB8/3qOEANpJRUVFzJ8/P1auXBlr166NjRs3xvbt22PPnj2HXFtcXByDBg2KIUOGxHHHHRdjx46NmTNnxqRJk5RcAKCTmvfSrliztTJJVkFeJt5x0ijv1wAAAADolHxb9WebN28+ZMPK8uXLY9++fU2u60mFlYhDZy8qKoopU6YcUloZNGhQrscE4DU2btwY9957b8ydOzfWrl3b7HM1NTWxadOm2LRpUyxevPjg6yUlJXHmmWfGhRdeGGeeeWbk53vUAAB0BlW1DfGbBRuT5Z0zaUgM7VecLA8AAAAAUurxRZY3v/nNsWzZstixY0eT149UPukppZUhQ4YcUliZPHmy39YH6GAvvPBCfPvb345HHnkkGhoakuXu378/5s6dG3Pnzo1Ro0bF+9///nj729/u3/sA0MHuX7YlKmvqk2QN6lMUc6YMS5IFAAAAALnQ47+ZevzxxyOTyRy2gNJTCiv5+fkxfvz4mDFjRsycOfNgaWXEiBG5HhOAFqiuro7bbrstfvGLXyQtsBzOhg0b4sYbb4yf//zn8fnPfz5mzpyZ0/sBAIe3aXd1PL5qW7K8K2aPjKKCvGR5AAAAAJBajy+yHPB6xY/OXliJaFlppV+/fjF9+vQmpZUTTzwxevXqlesxAWiDdevWxT/8wz+06BFCKbz44otx9dVXx4c//OH40Ic+1K73BoCeLpvNxi+f3xCNid6XTh3ZL6aN6p8kCwAAAAByRZHlz7pCYSWi+YWbTCYTxx133MHtKgdKK8cdd1w7TAlASosXL45PfvKTsXv37g65f0NDQ/zXf/1XbNiwIf6//+//i7w8v8UNAO1h8fo9sbqiMklWYX5eXDl7VJIsAAAAAMglRZZOqiVbVnr37h0nnnhik9LK9OnTo2/fvrkeE4AcW7NmTfz93/997Nu3r6NHibvvvjuKi4vjH//xHzt6FADo9mrrG+PXCzYmy7tg8tAYXFqULA8AAAAAckWRpRNoyWONRo4cebCwcuCfCRMm+O14gG6osrIyPvGJT7SoxJKfnx+nnHJKzJgxI6ZPnx4jRoyIvn37RmlpaVRXV8fevXtjx44dsXz58liyZEk88cQTsWfPnmbn33XXXTFhwoS44oorWvMjAQDN9FB5RezcX5skq6y0OM6dPCRJFgAAAADkmiJLO2rJlpXCwsKYPHnyIaWVsrKyXI8JQCdx0003xebNm5t1bWFhYbznPe+Jd7/73TF8+PDDXlNaWhqlpaUxYsSImDp1arzzne+M6urquPfee+O73/1us+/19a9/PU477bQYOXJks38WAKD5tlfWxu/LtybLe8dJo6Iw3y8/AAAAANA1KLLkSEtKK4MHDz6ksDJlypQoLCzM9ZgAdFIrVqyIe+65p1nXjh07Nm644YaYMGFCi+/Tq1evuOKKK2LOnDlx4403xn333XfUM1VVVXH77bfH9ddf3+L7AQBH9+sFG6O+sTFJ1ozR/WPyCI+dBQAAAKDrUGRJoLmPBsrLy4tx48bFjBkzYubMmQdLK6NGjWqPMQHoQr7//e8f9hFzrzV27Nj4zne+E/369WvT/UpLS+P666+P/v37x09/+tOjXv/AAw/ENddc87rbXwCA1lmxaW8s2bA7SVZhfl68fZYNagAAAAB0LYosrfTa8sprv2wsLS2N6dOnNymtTJs2LXr37t2eYwLQBe3atSsee+yxo17Xv3//uPXWW9tcYnm1T3/607F58+Z49NFHj3hdY2Nj/O///m986EMfSnZvAOjp6hsb45fzNyTLu2Dy0BjYpyhZHgAAAAC0B0WWVnp1ceXYY489uF3lQGll7NixHTgdAF3ZU089FXV1dUe97m/+5m9i2LBhSe+dyWTi05/+dDz99NNRU1NzxGufeuopRRYASOjxVdujYu+R//5trsF9iuLcyUOSZAEAAABAe1JkaYFMJhPZbDYymUxMmDAhPvjBD8ZVV10VI0da1QxAOvPnzz/qNYMGDYp3vvOdObn/iBEj4vLLL4+f//znR7xu2bJlUVNTE8XFxTmZAwB6kt1VdXH/0s3J8t4+e2QU5uclywMAAACA9uJTrRZ49RaWVatWxec+97k49thjY8qUKfG+970vvvrVr8bDDz8cO3fu7MApAejq1q5de9RrTj/99CgsLMzZDGedddZRr2loaIhXXnklZzMAQE9y96JNUVPfmCRr0vC+ceLIdI8eBAAAAID2ZCNLK7y60NLQ0BArVqyIlStXxk9/+tODr48ZMyZmzZoVs2bNitmzZ8esWbNsbgGgWTZu3HjUa0455ZScznDSSSdFUVFR1NbWHvG6zZs3x7hx43I6CwB0d2u37os/rkvzCxEFeZm4cvaoyGQySfIAAAAAoL0psrTSaz8UfHW5JSLipZdeipdffjl++9vfHnxtyJAhB8stBwouJ5xwQrvMC0DXUVlZedRrhg8fntMZCgsLY+DAgbFly5YjXrd///6czgEA3V1jNhu/nL8hWd5ZE8piaD+P/QMAAACg61JkaaUDxZUDhZbD/bbba8stFRUVMXfu3Jg7d+7B1/r27RszZsw4uLVl1qxZMXXq1MjL89QngJ6qrq7uqNcMHDgw53MMHjz4qEWWxsY0j0AAgJ7q6Rd2xPqdVUmy+vcujAunDkuSBQAAAAAdRZGljV5bVjkgk8k0q9yyZ8+eeOKJJ+KJJ544+FpxcXGceOKJTR5LNH369OjVq1fa4QHolEpLS2P37t0dPUazDBgwoKNHAIAua19NfdyzeHOyvMtmjIhehfnJ8gAAAACgIyiy5MjhCi7NLbdUV1fHvHnz4vnnnz/4Wn5+fkycOLHJY4lmzpwZ/fv3Tz88AB2qf//+Ry2y7Ny5M+dzbN++/ajXKLIAQOvdu2Rz7KutT5J1fFmfOPnYAUmyAAAAAKAjKbK0o5aWW159fX19fSxbtiyWL18e//M//3Pw9eOOO67JY4lmz54dw4ZZJQ10b42NjVFVVRX79u2L/fv3R01NTZSUlERJSUn06dOny2+wGjFiRLz88stHvOZoj/xpq7q6uqOWZfLz8+PYY4/N6RwA0F1t2FkVT67ZkSQrE5l4x0mjDvveEgAAAAC6GkWWDtaWcktExIsvvhjr1q2LX/3qVwdfGzZsWJPHEs2aNSuOP/749MMDtIO9e/fGs88+GytXroy1a9fGiy++GBs2bIiGhobXPVNcXBzHHntsjB07No4//viYNm1azJo1KwoLC9tx8tabOXNmPPvss0e85rnnnouLL744ZzPMnz8/amtrj3jNlClTonfv3jmbAQC6q2w2G7+cvyGycfhH1bbUGeMGxeiB/k4GAAAAoHtQZOmEWlJuOdz1mzdvjvvvvz/uv//+g6/1798/Zs6c2aTgMmnSpMjLy0s7PHBQTU1NrFq1KsrLy1v1GJirr746B1N1Ddu2bYt77rknnnzyyVi0aNERSyuHc+DPftWqVQdf69OnT5xyyilx1llnxQUXXNCpt7acdNJJR73mqaeeivr6+igoyM1f5Y8//vhRrznttNNycm8A6O7mv7wrXti6L0lWn6KCuGTa8CRZAAAAANAZKLJ0EYcrt0QceXvLq+3atSsee+yxeOyxxw6+1qtXr5g+fXqTxxJNmzYtioqK0g4PPUBtbW2sXr06ysvLY/ny5VFeXh5r165tcQHj1XpikWX58uXxk5/8JB588MGor69Pmr1v37545JFH4pFHHombb745rrjiinjHO97RKR/HNnPmzDjmmGPilVdeed1rduzYEXfddVe85z3vSX7/zZs3x29+85sjXlNYWBhXXnll8nsDQHdXU98Qv124KVnexdOGRZ9ib+0BAAAA6D582vVnry2DvF5xpLNp6aOJXq2qqiqee+65eO655w6+VlBQEJMmTWryWKJZs2ZFaWlp+uGhi6qrq4sXXnjhYGFl+fLl8cILLyQvXvQkmzZtiptuuqlJ2S6Xdu/eHd/73vfiRz/6Ubzvfe+LD3/4w51qQ0teXl68+93vjptuuumI133nO9+J888/P8rKypLdO5vNxte+9rWoqak54nUXXXRR0vsCQE/x4LKK2F1VlyRr1IDecca4wUmyAAAAAKCzyGS7SmMjR177aJ3Xe3xPRNcptxxOcx9LdLjrM5lMjB07tsljiWbNmhVDhgzJyazQmdTX18cLL7wQ5eXlB/9ZvXp11NWl+fLhSObNm5fze3S0+vr6+NGPfhT//d//HdXV1R02x/Dhw+O6666LN7/5zR02w2tVV1fHe97znli/fv0Rrxs/fnx8+9vfTlY4vPnmm+PHP/7xEa8ZOHBg/OxnP4tBgwYluWdrTJ06NZYvX37I61OmTIlly5Z1wEQAcHTbKmvi3+5dFfWNjUnyrj33hDhhqF86AAAAAOiOevJ3IT1+I0tFRUXMnz8/5s+fHwsWLIj58+fH2rVrmxQ8DpQ6mrPlpLNq6eaWV1+fzWZjzZo18cILL8Rdd9118PWRI0c2eSzRrFmzYsyYMbn5AaAdNDQ0xIsvvtjk8UCrV68+6mYKWmfHjh3x2c9+NhYsWNDRo8TmzZvjuuuui7/4i7+Ij3/841FQ0PF/Pfbq1Su+8IUvxEc+8pFoPMKXXatXr44PfehDccMNN8S4ceNafb99+/bFTTfdFHffffdRr/385z/foSUWAOiqfrdwU7ISy0nHDlRiAQAAAKBb6vEbWQ5nz549sXDhwoMFl/nz58fKlSujoaGhyXUt3XLSFbR0I81rrx84cGCTRxLNnj07Jk6cmHxOSO3RRx+Nf/7nf+7QrSCv1Z03spSXl8d1110XW7Zs6ehRDnHyySfHv//7v8eAAQM6epSIiPjBD34Qt95661GvKyoqive+973xjne8I4YPH97s/Orq6rj//vvju9/9bmzcuPGo11933XXxnve8p9n5udKTW8gAdE2rt1TGbY+8kCSruCAvPnfxpBhQUpgkDwAAAIDOpyd/F9Lxv3LeCfXr1y/OOuusOOussw6+Vl1dHYsWLWqyuWXp0qVRW1vb5OyRtpx0BUcqqzTn59qxY0c8/PDD8fDDDx98raSkJKZPn97ksUTTpk3rFBsP4IC9e/d2qhJLdzZv3rz4+Mc/3mk33cybNy/++q//Or71rW9FWVlZR48TH/jAB6K2tjbuuOOOI15XW1sb3//+9+NHP/pRnHrqqTFz5syYNm1ajBgxIvr27Rt9+vSJmpqa2Lt3b+zYsSOWL18eS5YsiSeeeCJ279591Dny8/Pjk5/8ZKcosQBAV9OYzcavFxy9MNpcc6YMU2IBAAAAoNvSJGimXr16xamnnhqnnnrqwdfq6+tj6dKlB4st8+fPj8WLF8e+ffuanO2O5ZaI5v9c+/bti2eeeSaeeeaZg68VFhbGlClTmjyWaMaMGdGnT5+0wwOdypIlS+JTn/pUpy2xHPDyyy/H3/3d38W3vvWtTrGZ5cMf/nAMGTIkvvrVr0ZVVdURr21oaIinnnoqnnrqqWT3HzVqVHzpS1+KGTNmJMsEgJ7k6Rd2xIZdR/47vLmG9C2Osyd2fNkWAAAAAHJFkaUNCgoKYubMmTFz5sz4q7/6q4j4U4lj5cqVB4stCxYsiAULFsSuXbuanO3q5ZaI19/e0pyfq7a2NhYuXBiLFi2K73//+wfPjh8/vsljiWbNmhWDBg3KyfxA+1q1alVce+21sX///o4epVnWrl0bH/vYx+KOO+7oFCW7t73tbTF79uz4f//v/8Xzzz/fLvfs379/vPvd7473ve99neLPAAC6oqrahrh3yeZkeVfMHhmF+XnJ8gAAAACgs1FkSSyTycSkSZNi0qRJ8d73vvfg6y+++GKTzS0LFiyILVu2HHL2cCWQiK5TcGlpueXV1x8oAa1atSp+9rOfHXx99OjRTR5LNHv27Bg1alRufgAgJyorK+Mzn/lM7N27t005hYWFcfrpp8fMmTNjypQpMXLkyOjXr1/06tUr9u3bF3v37o1169ZFeXl5PP/88/H888+36d+fK1asiBtuuCH+7d/+rU1zpzJmzJi44447Yv78+fHd7343nnvuuWhsbEx6j/z8/JgxY0ace+658da3vjVKSkqS5gNAT/PAsi1RWVOfJOvEkf1iyoh+SbIAAAAAoLNSZGknxx9/fBx//PFxxRVXHHxt06ZNTYot8+fPj5dffrnJuQMFkK68vaUl5ZbDXf/KK6/E+vXr43e/+93B1wYPHtxka8usWbNi/PjxaQcHkvniF78YGzZsaPX5QYMGxQc/+MG45JJLon///oe9pn///tG/f/8YPXp0nHnmmfHhD384Nm/eHL/+9a/jzjvvPOojeV7Pgw8+GCeddFK84x3vaPX8qc2ePTtmz54d27dvj4ceeii+853vxM6dO5NkX3jhhfHWt741Zs6cGQUF/jMBANqiYk9NPL5qW5KsgrxMvG3WyCRZAAAAANCZZbJdpQ3RQ+zYsaPJ5pb58+fHmjVrDil3dPXNLYfzej9TxOuXYV6ttLQ0Zs6cGY899ljy2ej+7r777vjiF7/Y0WM0MW/evI4eIYmf/exn8ZWvfKVVZzOZTLzvfe+LD3/4w216tM22bdvi5ptvjvvvv79V54uKiuL73/9+TJgwodUzpFRfXx8PPfRQPProo/H000/Hvn37kt+jX79+cemll8ZVV10VQ4YMSZ7fVlOnTo3ly5cf8vqUKVNi2bJlHTARABzqW4+/GMs27kmSdf7koXHZjBFJsgAAAADo/HrydyF+1bqTGTRoUJx33nlx3nnnHXytsrIyFi5c2GRzS3l5edTXN11PfaRH+HQFrzdnc3+uvXv3xhNPPJGT2aA18vLy4rjjjotJkybFvffe29HjdIiKioq47bbbWnW2b9++8aUvfSne9KY3tXmOsrKyuOGGG2LmzJnx1a9+Nerq6lp0vra2Nr785S/H9773vSOW7nKturo6fvOb38SPfvSjQx5Pl9qePXvizjvvjLvuuisuvfTSuOaaa153Gw4AcKgVm/YmK7H061UYF0wZmiQLAAAAADo7RZYuoLS0NM4888w488wzD75WU1MTixcvbrK9ZenSpVFdXd3kbFcvt0Q0/9FEXelnovvJy8uLMWPGxOTJk2Py5MkxZcqUmDhxYvTu3TsioscWWb7xjW+06pE+/fr1i9tvvz0mTpyYdJ53vOMdMXz48PjMZz7T4jLL0qVL4+677463vvWtSWdqrgULFsS//uu/xsaNG9v1vrW1tfGrX/0qnnjiifjCF74Qp5xySrveHwC6oobGbPx6Qbq/sy+dPjx6FeYnywMAAACAzkyRpYsqLi6ON7zhDfGGN7zh4GsNDQ2xfPnyg8WWBQsWxKJFi2Lv3r1NznbHcktHbkig58lkMk1KK5MnT45JkyZFSUlJR4/WqcyfPz8eeOCBFp/r3bt33HLLLclLLAeceeaZ8eUvfzk++9nPRmNjY4vO3nbbbXHuuedGaWlpTmY7nMbGxrj99tvjBz/4QbPmzcvLi3HjxsXs2bNjxowZUVZWFv37949+/fpFVVVV7N69O3bt2hUrV66MBQsWxOLFi2P//v1Hza2oqIhrrrkmrr322rjqqqtS/GgA0G09uWZ7bN5TffQLm+GYQSVxyvEDk2QBAAAAQFegyNKN5Ofnx7Rp02LatGnxgQ984ODrq1atarK5ZcGCBbFjx44mZ7tDuQVyIZPJxDHHHHNIaaVPnz4dPVqn941vfKNV5/7hH/4hTjzxxMTTNHXOOefEBz7wgfje977XonM7duyIH/zgB3HNNdfkaLKmGhsb4/rrr4+77777qNcWFxfHpZdeGldddVWMHj36da875phjIiIObvmqrq6O3/72t/E///M/R932ks1m4xvf+EZkMpl4//vf34KfBAB6jn019XHf0s3J8q6YNVJxHwAAAIAeRZGlB5gwYUJMmDAh3v3udx987eWXX25SbJk/f35s2rSpybnXK7dEKLjQPWUymRg1alSTxwNNmjSpXbdvdBfz5s2LZcuWtfjcRRddFJdddlkOJjrU1VdfHc8//3wsXry4Refuuuuu+OAHP9guZaYbbrihWSWW6dOnx5e//OUYPnx4i+/Rq1evePe73x1XXnllfOtb34rvfe97R/13/M033xwDBgyISy+9tMX3A4Du7r6lW2J/bUOSrFljBsTYIQrUAAAAAPQsiiw91JgxY2LMmDHxtre97eBrFRUVB8stB/5Zt25dk3MHii22t9DdnHXWWfHwww9H3759O3qUbuGHP/xhi8+UlpbGpz/96RxMc3gFBQXxT//0T/H+978/Ghqa/2XT3r1749e//nXON5L86le/it/97ndHve4d73hHXHfddVFQ0La/0gsKCuLv/u7vYubMmfGP//iPR33c0Fe+8pU4+eSTW1WeAYDuatPu6nhyzfYkWYX5eXH5jBFJsgAAAACgK8nr6AHoPIYOHRoXXXRRfO5zn4u77ror1q5dGzt27Ijf//738ZWvfCXe+973xsSJEyOTyUQ2m23yT8T/bXB59T/QVfTv31+JJZE1a9bEU0891eJzH/rQh2LgwIE5mOj1jR8/Pi6//PIWn/vJT34S9fX1OZjoT9avXx9f//rXj3rdBRdcEJ/97GfbXGJ5tTPOOCNuuOGGyMs78n8i7Nu3L770pS8luy8AdHXZbDZ+s2BjNCYq+J87aUgM7FOUJAsAAAAAuhJFFo5owIABcc4558SnP/3p+PGPfxzLly+PPXv2xBNPPBG33npr/NVf/VXMmDEjCgoKlFuAiIj45S9/2eIzZWVlTR5/1p4+8pGPRGFhYYvObNmyJf7whz/kaKKIr3/961FVVXXEayZMmBD/+q//mpN/r5511lnx0Y9+9KjXPffcc7FgwYLk9weArmj5pr2xYvPeJFkDehfGeZOHJMkCAAAAgK7Go4VosZKSkjjjjDPijDPOOPhaXV1dLFmy5OAjiRYsWBCLFy8+5IvY1yuzeCwRdA/19fXx4IMPtvjcu971rhaXSVIpKyuLiy66KO6+++4Wnbv33nvjnHPOST7PSy+9FI8//vhRr7v22mujV69eye9/wFVXXRW/+tWvYvPmzUe87s4774xZs2blbA4A6ArqGxvj1ws2Jsu7bMaIKC7IT5YHAAAAAF2JIgtJFBYWxuzZs2P27NkHX2tsbIzy8vJYsGDBwYLLwoULY8+ePU3OKrdA9/H000/Hrl27WnSmuLg4rrzyytwM1Ezve9/7WlxkefLJJ6OysjJKS0uTzvLTn/70qP/+mzlzZpx22mlJ7/tahYWF8aEPfShuuOGGI1732GOPxbZt26KsrCyn8wBAZ/b4qu2xdW9NkqzjBpfESccOSJIFAAAAAF2RRwuRM3l5eTF16tR4//vfH1/72tfi0UcfjV27dsXq1avjZz/7WXz2s5+NOXPmRFlZWbMfS+TRRNC53XfffS0+c9ZZZ0X//v1zME3zjRs3LiZNmtSiM7W1tfHQQw8ln6U5jyy6+OKLk9/3cObMmRMFBUfuvDY2Nnq8EAA92t7q+nhg2ZZkeVfMHuV9DwAAAAA9mo0stLsTTjghTjjhhHjnO9958LX169c32dwyf/782LBhQ5NzBz7M9aEudE51dXXNKmG81oUXXpiDaVruwgsvjBUrVrTozMMPPxxve9vbks2wcePGoz7KJyLi1FNPTXbPIykpKYlp06YdtaiyYMGCuOCCC9plJgDobO5dsjmq6xqSZL3huIFx7OCSJFkAAAAA0FUpstApjB49OkaPHh2XXXbZwde2bdt2sNRyoOSydu3aJo/cUGqBzmPx4sVRVVXVojOlpaVxxhln5GiilpkzZ07ccsstLXqs2fz586Ouri4KCwuTzLBo0aKjXjNs2LAYNWpUkvs1x+zZs49aZGlpAQgAuov1O6vi6Rd2JMkqLsiLy2aMSJIFAAAAAF2ZIgudVllZWcyZMyfmzJlz8LU9e/bEggULmmxvWblyZTQ0pPkNSKD1nn322RafecMb3hBFRUU5mKblhg0bFuPGjYvVq1c3+0x1dXUsWrQoTj755CQzVFRUHPWaIUOGJLlXczXnfrt27cr9IADQyWSz2fj1go2RjeaXYI/k/MlDo3/vNOVYAAAAAOjKFFnoUvr16xdnn312nH322QdfO/BF8oHNLUDHeO6551p85pRTTsnBJK33hje8oUVFlog/FXhSFVl279591GsGDhyY5F7NNWDAgKNe05y5AaC7WbJhT6ypqEySNahPUZwzqX3LqgAAAADQWeV19ADQVr169YpTTz01/vZv/za+9a1vdfQ40CNVVlZGeXl5i891tiJLa+ZpTYHn9ezZs+eo15SWlia7X3M0536VlWm+xAOArqK+sTF+u3BTsry3zhgRhfnengMAAABAhCILAAmsWLGixY/4GjRoUBx77LE5mqh1Zs6cGZlMpkVnVq1aFfX19Unun5d39L+W9+7dm+RezdWckkpneTwUALSXJ1dvj22VNUmyThjSJ2Ye0z9JFgAAAAB0B4osALTZihUrWnxm0qRJOZikbUpLS+OYY45p0Zm6urp44YUXkty/V69eR71m165dSe7VXDt37jzqNb17926HSQCgc9hXUx/3L9uSJCsTmbhi9qgWF2kBAAAAoDtTZAGgzVauXNniM52xyBIRMXny5BafaU2R53AGDBhw1Gu2bt2a5F7NVVFRcdRrBg8e3A6TAEDnMHd5Reyvbdkmutdz2tiBMXqgQigAAAAAvJoiCwBt1l02skS0bq7WFHkOZ+TIkUe9ZsuWLbF+/fok92uO559//qjXDB8+vB0mAYCOV7GnJv6waluSrF4F+XHJdH+HAgAAAMBrKbIA0CY1NTXx8ssvt/jccccdl36YBFoz16pVq5Lce8yYMc267tlnn01yv6OprKyMZcuWHfW6sWPHtsM0ANDxfrdoUzRks0my5kwdGn17FSbJAgAAAIDuRJEFgDbZuHFjNDS0bL1+JpOJUaNG5WiitjnmmGNafCbVhpQJEyZEcXHxUa+75557ktyvOfdpzv+206ZNa4dpAKBjramojCUbdifJKistjrMmlCXJAgAAAIDuRpEFgDbZsGFDi88MGzasWYWNjjBq1KjIy2vZX4/bt2+PmpqaNt+7oKAgpk+fftTrFi9eHE8//XSb73ck1dXV8b3vfe+o1+Xn58fMmTNzOgsAdLRsNhu/XrAxWd7lM0dEYb634wAAAABwOD45A6BNNm3a1OIzrdl60l4KCwtj2LBhLTqTzWZb9edwOOedd16zrrv11lujuro6yT0P57vf/W5s27btqNedfPLJMWDAgJzNAQCdwR/X7Yz1O6uSZI0bUhrTRvVLkgUAAAAA3ZEiCwBtsnFjy387uaysc6/SHzJkSIvPtGYzzeGcf/75zdpWs2rVqvjiF78Y2Ww2yX1fbe7cuc3axhIRcemllya/PwB0JjX1DXHP4s1JsjKRibfNGhGZTCZJHgAAAAB0R4osALRJdyyyDB48uMVnWvPncDgDBgyIyy67rFnXPvjgg/Ef//EfUV9fn+TeERGPPPJIswsyI0aMiAsuuCDZvQGgM3p0xbbYVVWXJOvk4wbEMYNKkmQBAAAAQHelyAJAm2zfvr3FZ1pTFGlPrSna7NixI9n9P/jBD0bv3r2bde0vfvGL+MhHPhKbN7ftN8Xr6+vj5ptvjs985jNRU1PTrDMf/ehHo6CgoE33BYDObHdVXTxUXpEkqzA/Ly6ZPjxJFgAAAAB0Z4osALTJnj17WnymsxdZWjPf7t27k91/+PDh8dGPfrTZ1y9evDiuvPLKuPHGG2P9+vUtuldVVVXceeedcfnll8ePf/zjZp87+eST45JLLmnRvQCgq7l3yeaobWhMknXupCExsKQoSRYAAAAAdGd+jRqANmlNgaNfv345mCSd1syXssgSEfHe97435s2bF3/4wx+adX1NTU384he/iF/+8pcxfvz4mD17dsyYMSPKysqif//+0bdv36iuro7du3fH7t27Y8WKFTF//vxYtGhRVFVVtWi2srKyuOGGG1rzYwFAl7F+Z1U8u3Znkqz+vQvjvMlDkmQBAAAAQHenyAJAm7SmwNGnT58cTJJOSUlJi8+0ZjPNkWQymbj++uvjox/9aKxYsaLZ5xobG2PlypWxcuXK+MlPfpJ0pog//W930003terxSwDQVWSz2fjNgo2RjWySvEumDY/igvwkWQAAAADQ3Xm0EACttm/fvqivr2/xuc5eZCktLW3xmdQbWQ7Mcfvtt8e0adOSZ7dG//7945vf/GaceOKJHT0KAOTUso17Y3VFZZKsUQN6xxuOH5gkCwAAAAB6AkUWAFpt7969rTrXmo0n7ak187X2z+Jo+vbtG3fccUe8/e1vz0l+c02aNCl+9KMfKbEA0O3VNzbGbxduTJb3tpkjIi+TSZYHAAAAAN2dIgsArVZXV9eqc92xyFJbW5uDSf6kqKgoPv/5z8fNN98co0aNytl9DqdXr15xzTXXxPe///0YOXJku94bADrCU2t2RMXemiRZJ47sFxOG902SBQAAAAA9RUFHDwBA19XaIktBQef+66c187XmEUstdeaZZ8Ypp5wSd999d/zoRz+K9evX5+xeJSUl8fa3vz2uuuqqKCsry9l9Ulu/fn28613vyvl93vGOd7TLfQBoX/tr6+P+pVuSZOVnMnH5TCVQAAAAgO7m5z//edx11105v08uvwfq7Dr3N4kAdGqKLP+ntX8WLVVUVBRXXnllXHHFFfH888/HAw88EE8//XRs3ry5zdl9+vSJ2bNnx/nnnx/nnntu9O7dO8HE7au2tjbWrl2b8/vs3Lkz5/cAoP3NXV4R+2rTlFPfOH5wDO1XnCQLAAAAgM5j586d7fJdRC6fBtDZde5vEgHo1Fq7hSQ/Pz/xJGm1Zr72KrIckMlk4uSTT46TTz45Iv7Uyl26dGm88MILsW7duti6dWts37499u7dG3V1dVFXVxd5eXlRXFwcvXr1isGDB0dZWVmMGjUqTjjhhJg4cWJMnjy505eMACBXtu6tiT+s2pYkq3dhflw4dViSLAAAAADoaXxbBUCrtba80dmLLJ15I8vrGT16dIwePbpDZwCArux/F2+K+sZskqw5U4dFabG32wAAAADQGnkdPQAAXVdjY2OrznX2IkteXsv/emxoaMjBJABAe1i7dV8sfGV3kqyy0qJ40/jBSbIAAAAAoCdSZAGg1VpbSGntI4naS2tKKR7JAwBdUzabjd8u3Jgs760zRkZhvrfaAAAAANBavnUDoNVaW95oaGjo1MWP1hRZCgsLczAJLVVUVBRjx47N+X0GDhyY83sA0D4WvrI71m3fnyRrbFmfmD66X5IsAAAAADqngQMHtst3EatXr47q6uqc36cz6rzfIgLQ6bW2vNHZH8PTmo0xiiydw+jRo+PnP/95R48BQBdR39gY/7t4U7K8t88aGZlMJlkeAAAAAJ3Pu971rnjXu96V8/tMnTo1li9fnvP7dEb2HQPQat21yOLRQgDQMzy5entsq6xNknXysQNjzOCSJFkAAAAA0JMpsgDQaq0tb9TV1SWeJK3WzKfIAgBdS1VtQzywrCJJVmF+Xlw6fXiSLAAAAADo6RRZAGi14uLiVp3bv39/4knS2rdvX4vPtPbPAgDoGA+VV8S+2pY/TvBw3jyxLAb2KUqSBQAAAAA9nSILAK3Wr1+/Vp1rTVGkPbWmaNPaPwsAoP3t3Fcbj67cliSrb6+COH/y0CRZAAAAAIAiCwBt0KtXr1ZtIunsRZbWzKfIAgBdxz1LNkd9Y2OSrIunDY9ehflJsgAAAAAARRYA2qg1BY7u+Gih/v3752ASACC19TurYt66XUmyhvfvFaeNHZQkCwAAAAD4E0UWANqkNQWOXbt2pR8kod27d7f4zIABA9IPAgAklc1m47cLN0Y2sknyLp8xIvIymSRZAAAAAMCfKLIA0Cat2ciybdu2HEySTmvm82ghAOj8yjfvjVVbKpNkjR9aGpNH9E2SBQAAAAD8H0UWANpkyJAhLT6zffv2HEySTmvma82fAwDQfhqz2fjdwk3J8t46c0RkbGMBAAAAgOQUWQBok5EjR7b4TGcvsrRmI0tr/hwAgPbzxxd3xqbd1UmyTj52YIwZVJIkCwAAAABoSpEFgDZpTYGjoqIiB5Oks3Xr1hafUWQBgM6rtr4x7lmyOUlWQV4mLpk+PEkWAAAAAHAoRRYA2qQ1BY5XXnklB5OkUVVV1eIiS35+fgwf7gstAOisHl25NXZX1SXJetOEshjUpyhJFgAAAABwKEUWANpk1KhRLT6zffv22L9/fw6mabvWlGyGDh0aBQUFOZgGAGirvdX18fvylm9bO5ySovyYM2VokiwAAAAA4PAUWQBok+HDh0dhYWGLz7388ss5mKbtWlNkOeaYY3IwCQCQwgPLtkR1fUOSrAunDouSIuVVAAAAAMglRRYA2qSgoCBOOOGEFp978cUXczBN27VmrokTJ+ZgEgCgrSr21MRTa7YnyRrcpyjeOG5wkiwAAAAA4PUpsgDQZq0pcqxYsSIHk7RdeXl5i88osgBA5/S/izdFQzabJOuS6cOjMN9baAAAAADINZ/CAdBmkyZNavGZ1hRG2kNrCjat+fkBgNxau3VfLFq/O0nWmEElMXvMgCRZAAAAAMCRKbIA0GatKXKsXLkyGhsbczBN6+3YsSO2bNnSojO9e/eOMWPG5GgiAKA1stls/HbRpmR5l88cEZlMJlkeAAAAAPD6FFkAaLMJEyZEcXFxi87s27cvVq5cmaOJWmfevHktPjN16tTIy/PXKQB0JovX74l12/YlyTpxZL8YN7Q0SRYAAAAAcHS+eQOgzYqLi2PGjBktPvfss8/mYJrWe+6551p85tRTT83BJABAa9U3NsbvEm1jyUQmLpsxIkkWAAAAANA8iiwAJHHKKae0+ExriiO59Mc//rHFZxRZAKBzeXLNjthWWZMk6/QTBsXw/r2SZAEAAAAAzaPIAkASp512WovPLFy4MCorK3MwTcutWbMmNmzY0KIz/fv3j0mTJuVoIgCgparqGmLusi1JsooL8uItJw5LkgUAAAAANJ8iCwBJTJw4MQYOHNiiM7W1tfHwww/naKKWeeCBB1p85pRTTom8PH+VAkBn8XD51qisqU+Sdc7EIdGvd2GSLAAAAACg+Xz7BkASmUwmzjvvvBafa02BJBfmzp3b4jMXXHBBDiYBAFpjd1VdPLpya5Ksfr0K49zJQ5JkAQAAAAAto8gCQDIXXXRRi8/88Y9/jPXr1+dgmuZ77rnnWvxYob59+8aZZ56Zo4kAgJaau2xL1DY0Jsm66MRhUVyQnyQLAAAAAGgZRRYAkpk5c2aMGjWqRWcaGxvjpz/9aY4map4f//jHLT5z3nnnRVFRUQ6mAQBaqmJPTTz1wo4kWcP79YrTxg5KkgUAAAAAtJwiCwBJtWYry+9+97vYvXt3DqY5uhdeeCGefvrpFp97y1vekoNpAIDWuHfJ5mjMZpNkXTZjROTnZZJkAQAAAAAtp8gCQFJXXnllFBQUtOjM/v374zvf+U6OJjqyW265JbIt/OJr/PjxcdJJJ+VoIgCgJV7avj8WvLIrSda4IaUxdWTfJFkAAAAAQOsosgCQ1NChQ1u1leXnP/95rFu3Lv1AR/DUU0/Fk08+2eJzf/mXf5mDaQCAlspms/G7RZuS5V0+c0RkMraxAAAAAEBHUmQBILmrrrqqxV8CNTQ0xPXXXx/19fU5mqqpysrKuPHGG1t8bsSIEXHBBRfkYCIAoKXKN++NNRWVSbJmjRkQYwaXJMkCAAAAAFpPkQWA5E444YQ466yzWnxu0aJFcccdd+RgokPdcMMNsWHDhhafe//739/iRycBAOlls9m4e9HmJFn5mUxcMm14kiwAAAAAoG0UWQDIiWuvvTYKCwtbfO773/9+3HfffTmY6P98+9vfjoceeqjF58aOHRtXXnllDiYCAFpq3ku7YuOuqiRZZ4wbHEP6FifJAgAAAADaRpEFgJw49thj473vfW+Lz2Wz2fjCF77QqqJJc/zgBz9o9daX6667zjYWAOgE6hoa494labaxFBfkxYVThyXJAgAAAADaTpEFgJz5m7/5mxg6dGiLzzU0NMTnPve5+Pa3vx3ZbDbJLDU1NXHDDTfErbfe2qrz5557bpxyyilJZgEA2ubJNdtjx77aJFnnThoSfXspqgIAAABAZ+HTOoBXueOOO+Lb3/52R48REREnn3xy8swPf/jDcfXVVyfPfT0lJSXxz//8z/Hxj3+8xYWUxsbGuOOOO+L555+P6667LsaNG9fqOebNmxdf/epXY/Xq1a06P2jQoPiHf/iHVt8fAEinqrYh5i6rSJJVWlwQb544JEkWAAAAAJCGjSwA5NQZZ5wRH/jAB1p9ft68efHe9743/uVf/iWef/75Zhdi6uvr47HHHouPf/zj8dGPfrTVJZa8vLy4/vrro6ysrFXnAYC0Hl6xNfbV1ifJuujEYdGrMD9JFgAAAACQho0sAOTcRz/60Vi4cGEsXLiwVecbGxvj3nvvjXvvvTeGDRsWM2bMiClTpsTIkSOjb9++0bt376isrIzKyspYt25dlJeXx8KFC2P37t1tnv2v//qv49RTT21zDgDQdrur6uLRlVuTZJWVFsfpJwxKkgUAAAAApKPIAkDOFRQUxI033hgf/vCH4+WXX25T1pYtW2Lu3Lkxd+7cRNO9vgsuuCA+8pGP5Pw+AEDzPLBsS9Q2NCbJunjasCjIs6QUAAAAADobn9oB0C4GDx4ct99+e4wcObKjR2mWN73pTXH99ddHni+4AKBTqNhTE0+/sCNJ1uiBvWP2mAFJsgAAAACAtHw7B0C7GTZsWPznf/5nDB8+vKNHOaIzzjgjbrzxxigosLgMADqLe5ZsisZsNknWW2eMiEwmkyQLAAAAAEhLkQWAdjV69Oj44Q9/GLNmzeroUQ7rPe95T3zta1+LoqKijh4FAPizddv2xcJXdifJmjisb0wc3jdJFgAAAACQniILAO1u0KBBcfvtt8c73/nOjh7loOLi4vjCF74Q1113nU0sANCJZLPZuHvR5mR5l83o3JvhAAAAAKCnU2QBoEMUFBTEZz/72bj11lvjmGOO6dBZTjvttPjJT34Sl156aYfOAQAcqnzz3liztTJJ1uwxA+KYQSVJsgAAAACA3FBkAaBDnX766fGzn/0sPvrRj0afPn3a9d4jR46Mf//3f4/bbrstxowZ0673BgCOrjHhNpaCvExcMt02FgAAAADo7Dw7AYAOV1RUFB/60IfiPe95T/z2t7+Nn//857Fhw4ac3W/GjBnxF3/xF3HOOedEfn5+zu4DALTN8y/tio27qpJknTFucJSVFifJAgAAAAByR5EF4FWuvvrquPrqqzt6jB6rtLQ03ve+98Vf/MVfxB//+Md44okn4sknn4yXX365Tbl5eXkxderUeOMb3xhnn312jB8/PtHEAECu1DU0xj2L02xjKS7IizlThiXJAgAAAAByS5EFgE4nLy8vTj311Dj11FPj05/+dKxfvz5WrFgRL774YqxduzbWr18flZWVsX///ti3b1/U1dVFr169oqSkJEpKSmLAgAFx7LHHxtixY+P444+PqVOnxoABAzr6xwIAWuDJNdtj5/7aJFnnTRoafXt5+wsAAAAAXYFP8gDo9EaPHh2jR4/u6DEAgHZSVdcQDy6vSJJVWlwQb55UliQLAAAAAMi9vI4eAAAAAF7t0RVbo7KmPknWW04cFsUF+UmyAAAAAIDcU2QBAACg09hbXR+PrNyaJKustDhOO2FQkiwAAAAAoH0osgAAANBpPFReETX1jUmyLp0+PAryvO0FAAAAgK7EJ3oAAAB0Cjv31cYTq7clyRozqCRmHtM/SRYAAAAA0H4UWQAAAOgU7l+2Jeobs0myLpsxIjKZTJIsAAAAAKD9KLIAAADQ4Tbvro5n1+5MkjVpeN+YMKw0SRYAAAAA0L4UWQAAAOhw9y7ZHNlIt40FAAAAAOiaFFkAAADoUC9v3x+L1u9OkjVrzIAYPbB3kiwAAAAAoP0psgAAANCh/nfx5iQ5eZlMXDJteJIsAAAAAKBjKLIAAADQYVZt3hsrt+xNknXa2EExpG9xkiwAAAAAoGMosgAAANAhstls/O+SNNtYCvPz4sKpw5JkAQAAAAAdR5EFAACADrF4w554afv+JFlvGj84BpQUJskCAAAAADqOIgsAAADtrjGbjXsXp9nG0qswP86fPDRJFgAAAADQsRRZAAAAaHd/XLczNu+pTpJ17qQh0ae4IEkWAAAAANCxFFkAAABoV3UNjXHfki1JskqLC+LNE8uSZAEAAAAAHU+RBQAAgHb11JrtsXN/bZKsOVOHRXFBfpIsAAAAAKDjKbIAAADQbqrrGmLu8ookWYP6FMUZJwxKkgUAAAAAdA6KLAAAALSbx1Zui8qa+iRZbzlxWBTme1sLAAAAAN2JT/wAAABoF5U19fHwiq1Jsob37xUnHzcwSRYAAAAA0HkosgAAANAuHlpeEdX1DUmyLp0+PPIymSRZAAAAAEDnocgCAABAzu3cXxt/WL09SdZxg0vixJH9kmQBAAAAAJ2LIgsAAAA598DSLVHf2Jgk69LpIyJjGwsAAAAAdEuKLAAAAORUxZ6aeGbtziRZk4b3jfHDSpNkAQAAAACdjyILAAAAOXXvks2RjWySrEumD0+SAwAAAAB0ToosAAAA5MwrO/bHgld2JcmadcyAGDOoJEkWAAAAANA5KbIAAACQM/cs2ZwkJy+TiYun2cYCAAAAAN2dIgsAAAA5sXbrvijftDdJ1qnHD4yh/YqTZAEAAAAAnZciCwAAAMlls9m4Z3GabSwFeXlx4YnDkmQBAAAAAJ2bIgsAAADJrdpSGWu2VibJetP4wTGwpChJFgAAAADQuSmyAAAAkFQ2m43/TbSNpVdBfpw/ZWiSLAAAAACg81NkAQAAIKmlG/fEyzv2J8k6d9KQKC0uSJIFAAAAAHR+iiwAAAAk05jNxj2JtrGUFhfE2RPLkmQBAAAAAF2DIgsAAADJLHh5V2zaXZ0k64IpQ6NXYX6SLAAAAACga1BkAQAAIIn6xsa4d8mWJFkDehfGG8cNTpIFAAAAAHQdiiwAAAAk8ccXd8a2ypokWXOmDovCfG9ZAQAAAKCn8akgAAAAbVbX0Bj3L0uzjaWstChOHTswSRYAAAAA0LUosgAAANBmT72wI3btr0uSddGJw6Mgz9tVAAAAAOiJfDIIAABAm9TUN8TcRNtYhvfrFScdOyBJFgAAAADQ9SiyAAAA0CZ/WLU9Kmvqk2RdPG145GUySbIAAAAAgK5HkQUAAIBWq6ptiIfKK5JkHTOoJKaP7pckCwAAAADomhRZAAAAaLWHV2yNqrqGJFkXTxsWGdtYAAAAAKBHU2QBAACgVfZW18djq7YmyRpb1icmD++bJAsAAAAA6LoUWQAAAGiV35dXRE19Y5KsS6YPt40FAAAAAFBkAQAAoOV27a+LP6zeniRr0vC+MW5oaZIsAAAAAKBrU2QBAACgxeYu3xL1jYm2sUwbniQHAAAAAOj6FFkAAABokW2VNfHMCzuSZE0f3T/GDC5JkgUAAAAAdH2KLAAAALTI/Uu3REM22+acTGTiYttYAAAAAIBXUWQBAACg2Tbvro5563YlyTrp2AExon+vJFkAAAAAQPegyAIAAECz3btkc2Sj7dtY8jKZuOjEYQkmAgAAAAC6E0UWAAAAmuWVHftj0frdSbJOHTsohvQtTpIFAAAAAHQfiiwAAAA0y71LtiTJKcjLxIVThybJAgAAAAC6F0UWAAAAjurFbfti+aY9SbLeOG5wDCwpSpIFAAAAAHQviiwAAAAc1X2JtrEUF+TFBVNsYwEAAAAADk+RBQAAgCNaU1EZK7fsTZJ11oSy6NurMEkWAAAAAND9KLIAAADwurLZbLJtLL0L8+PcSUOSZAEAAAAA3ZMiCwAAAK9r1ZbKWLO1MknWuZOGRElRQZIsAAAAAKB7UmQBAADgsLLZbNy7ZHOSrNLigjh7YlmSLAAAAACg+1JkAQAA4LDKN+2Nddv3J8m6YMrQKC7IT5IFAAAAAHRfiiwAAAAcIpvNxj2JtrH0710Ybxw3OEkWAAAAANC9KbIAAABwiMUb9sT6nVVJsuZMGRqF+d5+AgAAAABH55NEAAAAmshms3Ffom0sA0uK4tSxg5JkAQAAAADdnyILAAAATSx4ZXds2l2dJOvCqbaxAAAAAADN59NEAAAADmrMZuP+pVuSZJWVFsUbjh+YJAsAAAAA6BkUWQAAADjo+Zd2xZY9qbaxDIuCPG87AQAAAIDm84kiAAAAERFR39iYbBvL0L7FcfJxtrEAAAAAAC2jyAIAAEBERMxbtyu2VdYkybroxGGRl8kkyQIAAAAAeg5FFgAAAKK+sTEeWJZmG8uI/r1i9pgBSbIAAAAAgJ5FkQUAAIB45oUdsWNfbZKst0wbHhnbWAAAAACAVlBkAQAA6OHqGhpj7vKKJFmjB/aO6aP6JckCAAAAAHoeRRYAAIAe7sk122N3VV2SrIttYwEAAAAA2kCRBQAAoAerqW+IBxNtYzlucElMGdE3SRYAAAAA0DMpsgAAAPRgT6zeHpU19UmybGMBAAAAANpKkQUAAKCHqq5riN+Xb02SdcKQPjFhWGmSLAAAAACg51JkAQAA6KEeW7Ut9tXaxgIAAAAAdB6KLAAAAD1QVW1DPLIizTaWCcNKY9xQ21gAAAAAgLZTZAEAAOiBHlm5NarqGpJkXTxteJIcAAAAAICCjh4AAACgs9q9e3fMnTv3iNfMmTMn+vfv304TpbGvpj4eW7ktSdaUEf3i+LI+SbIAAAAAAGxkAQAA6GEeWbE1quvTbGN5y7RhSXIAAAAAACIUWQAAAHqUypr6eHx1mm0s00b1jzGDSpJkAQAAAABEKLIAAAD0KI+s2Bo19Y1Jsi62jQUAAAAASEyRBQAAoIfYW10fj69Ks41l1jEDYuSA3kmyAAAAAAAOUGQBAADoIX6/oiJqG9q+jSUTmbjoRNtYAAAAAID0FFkAAAB6gL3VdfHE6u1Jsk4+bkAM798rSRYAAAAAwKspsgAAAPQAvy/fGnUJtrHkZTJx4VTbWAAAAACA3FBkAQAA6OZ2V9XFE2vSbGN5w3EDY0jf4iRZAAAAAACvpcgCAADQzf2+vCLJNpb8TCbmTB2aYCIAAAAAgMNTZAEAAOjGdlfVxZNrdiTJOuX4gVFWahsLAAAAAJA7iiwAAADd2EPlFVHfmGoby7AEEwEAAAAAvD5FFgAAgG5q5/7aeGrN9iRZp44dFIP6FCXJAgAAAAB4PYosAAAA3dRDyyuivjHb5pyCvEzMmTI0wUQAAAAAAEemyAIAANAN7dxfG8+s3ZEk67Sxg2KgbSwAAAAAQDtQZAEAAOiGHky4jeV821gAAAAAgHaiyAIAANDN7NhXG88m2sZy+gmDY2CJbSwAAAAAQPtQZAEAAOhm5ibbxpIX50+2jQUAAAAAaD+KLAAAAN3I9sraeC7RNpYzxg2KASWFSbIAAAAAAJpDkQUAAKAbmbt8SzRk276NpTDfNhYAAAAAoP0psgAAAHQTW/fWxHMv7kyS9cZxg6N/b9tYAAAAAID2pcgCAADQTcxdXhGNibaxnDdpSIKJAAAAAABaRpEFAACgG9i6tybmrUuzjeXM8YOjn20sAAAAAEAHUGQBAADoBh5YtiXJNpai/Lw4b9LQBBMBAAAAALScIgsAAEAXV7GnJuat25Uk68zxg6Nvr4IkWQAAAAAALaXIAgAA0MU9sGxLZKPt21iKC/LiXNtYAAAAAIAOpMgCAADQhW3ZUx3Pv7QrSdabxpfZxgIAAAAAdChFFgAAgC7sgWUVCbexDEkwEQAAAABA6/lVOwAAgNeRzWZjyZIl8dhjj8Xq1atj586dUVNTE8XFxTFw4MAYP358FBcXx2WXXRaZTKbd59uypzrmJ9rGctaEsuhT7C0iAAAAANCxfEoJAADwGjU1NfGtb30rbr311li9evUh//fq6urYtGlTbNq0KR5//PGYOHFiXHPNNXH11VdHUVFRu82ZahtLr4L8OGeibSwAAAAAQMfzaCEAAIBXKS8vj1mzZsW111572BLL4axcuTKuvfbamDlzZqxYsSLHE/5Jym0sZ0+0jQUAAAAA6BwUWQAAAP7smWeeiTe+8Y1RXl7eqvPl5eVxxhlnxDPPPJN4skPNTbSNpXdhfrx5YlmCiQAAAAAA2k6RBQAAIP5UQnnLW94SO3fubFPOzp074+KLL87pZpaKPTXxfKptLBPKoqTINhYAAAAAoHNQZAEAAHq8mpqauPLKK2PXrl1J8nbu3BlXXHFF1NbWJsl7rbnLtyTcxjIkwUQAAAAAAGkosgAAAD3et771rVY/Tuj1lJeXxx133JE0M+JP21jmrduVJOuciUOid1F+kiwAAAAAgBQUWQAAgB4tm83GbbfdlpPsb37zm5HNtn1zyqul3MZy1oSyBBMBAAAAAKSjyAIAAPRoDz/8cKxatSon2StXroxHHnkkWZ5tLAAAAABAd6fIAgAA9Gg//OEPu0y+bSwAAAAAQHenyAIAAPRoTz/9dE7zn3rqqSQ5W/em28by5olltrEAAAAAAJ2SIgsAANCjbdq0Kaf5mzdvTpLzwLJ021jOnjAkwUQAAAAAAOkpsgAAAD3avn37cppfWVnZ5oyte2vi+Zd2tX2YsI0FAAAAAOjcFFkAAIAerU+fPjnNLy0tbXPG3OUV0Zi1jQUAAAAA6P4UWQAAgB5txIgROc0fPnx4m85v3VsT89btTDLL2RNsYwEAAAAAOjdFFgAAoEc7/fTTc5p/xhlntOl8qm0svQrz4+yJZW3OAQAAAADIJUUWAACgR/vLv/zLTpufehtLSVFBkiwAAAAAgFxRZAEAAHq0c889NyZOnJiT7IkTJ8Y555zT6vMpt7G82TYWAAAAAKALUGQBAAB6tEwmE9dcc01Osq+55prIZDKtOmsbCwAAAADQEymyAAAAPd5HPvKRmDx5ctLMyZMnx9VXX93q8w8m3MZy9gTbWAAAAACArkGRBQAA6PGKi4vjl7/8ZQwcODBJ3sCBA+NXv/pVFBUVter8tsqa+GPCbSx9im1jAQAAAAC6BkUWAACA+NMGlXvvvbfNZZaBAwfGvffeG5MmTWp1RrJtLAW2sQAAAAAAXYsiCwAAwJ+ddtpp8dRTT7X6MUOTJ0+Op556Kk477bRWz7CtsiaeezHNNpazbGMBAAAAALoYRRYAAIBXmTRpUixcuDBuueWWGD9+fLPOTJw4MW655ZZYuHBhmzaxRKTdxvLmibaxAAAAAABdi1/NAwAAeI2ioqL4+7//+7jqqqvi61//ejz22GOxatWq2LVrV1RXV0evXr1iwIABMWHChPjUpz4Vl112WWQymTbfd3tlbfwx0TaWN00YbBsLAAAAANDl+FQTAADgdWQymTjxxBPjxBNPfN1rzj777CQlloiIB5dviYZE21jOmTgkwUQAAAAAAO3Lo4UAAAA6gR37auM521gAAAAAgB5OkQUAAKATeHB5RZJtLMUFebaxAAAAAABdliILAABAB9u5vzaee3FHkqyzJpTZxgIAAAAAdFmKLAAAAB3s9+Vbo77RNhYAAAAAAEUWAACADrS7qi6efiHRNpbxtrEAAAAAAF2bIgsAAEAHenjF1qhvbGxzTnFBXrx5km0sAAAAAEDXpsgCAADQQfZW18WTa7YnyXrT+LIotY0FAAAAAOjiFFkAAAA6yMMrtkZdQ5ptLOfYxgIAAAAAdAOKLAAAAB1gb3V9PLE6zTaWM21jAQAAAAC6CUUWAACADvDYyq1Rm2AbS2F+Xpwz0TYWAAAAAKB7UGQBAABoZ/tq6uPx1duSZL1x3ODo28s2FgAAAACge1BkAQAAaGePrdoWNfVt38ZSkJcX506yjQUAAAAA6D4UWQAAANpRVW1DPL4qzTaWM8YNiv69C5NkAQAAAAB0BoosAAAA7ejxVduiqq6hzTkFeRnbWAAAAACAbkeRBQAAoJ1U1TXEo6u2Jsk6deygGFhSlCQLAAAAAKCzUGQBAABoJ0+s3h77a9u+jSU/k4nzJw9NMBEAAAAAQOeiyAIAANAOauob4tGVabaxnHL8wBjUxzYWAAAAAKD7UWQBAABoB0+u2RGVNfVtzsnLZOL8KbaxAAAAAADdkyILAABAjtXWN8bvyyuSZJ183MAoKy1OkgUAAAAA0NkosgAAAOTYUy9sT7KNJROZuGCybSwAAAAAQPelyAIAAJBDdQ2N8fCKrUmyTjp2QAztZxsLAAAAANB9KbIAAADk0DNrd8Tuqro252QiExdMsY0FAAAAAOjeFFkAAABypK6hMR4qr0iSNfOY/jG8f68kWQAAAAAAnZUiCwAAQI489+LO2LW/7dtYIiLmTLWNBQAAAADo/hRZAAAAcqC+Md02lhmj+8fIAb2TZAEAAAAAdGaKLAAAADkwb92u2LGvNknWnKnDkuQAAAAAAHR2iiwAAACJNTRm48HlW5JknTiyX4weaBsLAAAAANAzKLIAAAAk9vxLO2NbZZptLBfaxgIAAAAA9CCKLAAAAAk1ZrPx4PKKJFmTR/SNMYNLkmQBAAAAAHQFiiwAAAAJLXh5V1TsrUmSZRsLAAAAANDTKLIAAAAkks1mY+6yNNtYJg7rG8eX9UmSBQAAAADQVSiyAAAAJLLwld2xeU91kqwLpw5NkgMAAAAA0JUosgAAACSQzWZj7vI021jGDS2NE4aWJskCAAAAAOhKFFkAAAASWLJhT2zcVZUk68Kpw5LkAAAAAAB0NYosAAAAbZTNZuOBZVuSZB1f1ifGD+2TJAsAAAAAoKtRZAEAAGij5Zv2xvqdabaxXDR1WGQymSRZAAAAAABdTUFHDwAAANCVZbPZuH9pRZKs4waXxMThpUmyAAAAAAC6IhtZAAAA2mD11qp4ecf+JFkX2sYCAAAAAPRwiiwAAACtlM1GPLxqR5KsYwaVxOQRfZNkAQAAAAB0VYosAAAArVRRkx8v76hOknXh1KG2sQAAAAAAPZ4iCwAAQCuV7ylOkjNqQO84cWS/JFkAAAAAAF2ZIgsAAEArbK3Jj601+UmyLpw6zDYWAAAAAIBQZAEAAGiV5XuKkuQM798rpo+2jQUAAAAAIEKRBQAAoMW21+RFRXVBkqw5U4baxgIAAAAA8GdpPnkFAADohvr37x/vfOc7D3n924+/GCMK9rQ5f2jf4pg1ZkCbcwAAAAAAugsbWQAAAFpgw86qWLqx7SWWiIg5U4dFnm0sAAAAAAAHKbIAAAC0wIPLK5LklJUWx2zbWAAAAAAAmlBkAQAAaKYte6pj4Su7k2TNmTI08vNsYwEAAAAAeDVFFgAAgGZ6cHlFZCPb5pxBfYripOMGtH0gAAAAAIBuRpEFAACgGbZV1sTzL+1KknX+5KFRkOftGAAAAADAa/nkFAAAoBl+X741GrNt38bSv3dhnHL8wAQTAQAAAAB0P4osAAAAR7Fzf2089+KOJFnnTRoShfneigEAAAAAHI5PTwEAAI7ikRVbo76x7dtYSosL4vQTBieYCAAAAACge1JkAQAAOIK91XXx1AtptrGcM3FIFBV4GwYAAAAA8Hp8ggoAAHAEj67cFnUNjW3O6V2YH28cbxsLAAAAAMCRKLIAAAC8jn019fGH1duSZJ09oSx6F+YnyQIAAAAA6K4UWQAAAF7H46u2RU1927exFBfkxVkTyhJMBAAAAADQvSmyAAAAHEZVXUM8tirNNpY3jS+LPsUFSbIAAAAAALozRRYAAIDDeHL19qiqa2hzTmF+Xrx54pAEEwEAAAAAdH+KLAAAAK9RW98Yj6zcmiTrjBMGRd9etrEAAAAAADSHIgsAAMBrPP3C9qisqW9zTkFeJs6ZZBsLAAAAAEBzKbIAAAC8Sl1DY/x+RZptLKccPygGlhQlyQIAAAAA6AkUWQAAAF7luRd3xu6qujbn5GUycd5k21gAAAAAAFpCkQUAAODP6hsb46HyiiRZJx07IMpKi5NkAQAAAAD0FIosAAAAf/b8S7tix77aNudkIhMXTBmaYCIAAAAAgJ5FkQUAACAiGrPZeGh5mm0sM4/pH8P69UqSBQAAAADQkyiyAAAARMSiV3ZHxd6aJFlzptrGAgAAAADQGoosAABAj5fNZmNuom0s00b1i5EDeifJAgAAAADoaRRZAACAHm/pxj2xcVdVkqwLpgxLkgMAAAAA0BMpsgAAAD1aNpuNucvSbGOZNLxvHDu4JEkWAAAAAEBPpMgCAAD0aCs3V8bLO/YnybpgytAkOQAAAAAAPZUiCwAA0KPNXb4lSc4JQ/rEuKGlSbIAAAAAAHoqRRYAAKDHWlNRGS9s3Zcka86UYUlyAAAAAAB6MkUWAACgx5q7rCJJzphBJTFxuG0sAAAAAABtpcgCAAD0SC9t3x8rt+xNkjVn6tDIZDJJsgAAAAAAejJFFgAAoEd6cPmWJDkjB/SOE0f2S5IFAAAAANDTKbIAAAA9zoadVbFkw54kWXOm2MYCAAAAAJCKIgsAANDjPLi8IknO0L7FMeOY/kmyAAAAAABQZAEAAHqYLXuqY+Eru5NknT9laOTZxgIAAAAAkIwiCwAA0KM8uLwispFtc86gPkVx0rED2j4QAAAAAAAHKbIAAAA9xrbKmnj+pV1Jss6fPDQK8rylAgAAAABIyaeuAABAj/H78q3RmG37Npb+vQvjlOMHJpgIAAAAAIBXU2QBAAB6hJ37a+O5F3ckyTpv0pAozPd2CgAAAAAgNZ+8AgAAPcKjK7dFfWPbt7GUFhfE6ScMTjARAAAAAACvpcgCAAB0e3ur6+PJNduTZJ0zcUgUFXgrBQAAAACQCz59BQAAur3HVm2NuobGNueUFOXHG8fbxgIAAAAAkCuKLAAAQLdWVdsQT6xOs43lrPFl0bswP0kWAAAAAACHUmQBAAC6tSfWbI+quoY25xQX5MVZE8oSTAQAAAAAwOtRZAEAALqt2vrGeHTl1iRZbxpfFn2KC5JkAQAAAABweIosAABAt/X02h1RWVPf5pzC/Lx488QhCSYCAAAAAOBIFFkAAIBuqb6xMR5eUZEk6/QTBkXfXraxAAAAAADkmiILAADQLc1btyt27a9rc05BXibOnWQbCwAAAABAe1BkAQAAup3GbDYeKk+zjeXk4wbGwJKiJFkAAAAAAByZIgsAANDtLHpld2zdW9PmnExk4vzJQxNMBAAAAABAcyiyAAAA3Uo2m40Hl6fZxjJzTP8Y0rc4SRYAAAAAAEenyAIAAHQryzftjQ27qpJkzZliGwsAAAAAQHtSZAEAALqNbDYbcxNtY5k6sl+MHNA7SRYAAAAAAM2jyAIAAHQbL2zdF+u27UuSdYFtLAAAAAAA7U6RBQAA6DY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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 1112,
       "width": 1113
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xyz = np.zeros((3, 256))\n",
    "xyz[0] = np.logspace(-3, 3, 256)\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
    "\n",
    "ax.errorbar(tbl['r'], tbl['Menc'], yerr=(tbl['Menc_err_neg'], tbl['Menc_err_pos']),\n",
    "            marker='o', markersize=2, color='k', alpha=1., ecolor='#aaaaaa',\n",
    "            capthick=0, linestyle='none', elinewidth=1.)\n",
    "\n",
    "fit_menc = init_potential.mass_enclosed(xyz*u.kpc)\n",
    "ax.loglog(xyz[0], fit_menc.value, marker='', color=\"#3182bd\",\n",
    "          linewidth=2, alpha=0.7)\n",
    "\n",
    "ax.set_xlim(1E-3, 10**2.6)\n",
    "ax.set_ylim(7E6, 10**12.25)\n",
    "\n",
    "ax.set_xlabel('$r$ [kpc]')\n",
    "ax.set_ylabel('$M(<r)$ [M$_\\odot$]')\n",
    "\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9cf2ede",
   "metadata": {},
   "source": [
    "It looks pretty good already! But let's now use least-squares fitting to\n",
    "optimize our nucleus and halo parameters. We first need to define an error\n",
    "function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4079b2a7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:30.298721Z",
     "iopub.status.busy": "2023-08-05T14:52:30.298104Z",
     "iopub.status.idle": "2023-08-05T14:52:30.302741Z",
     "shell.execute_reply": "2023-08-05T14:52:30.302016Z"
    }
   },
   "outputs": [],
   "source": [
    "def err_func(p, r, Menc, Menc_err):\n",
    "    pot = get_potential(*p)\n",
    "    xyz = np.zeros((3, len(r)))\n",
    "    xyz[0] = r\n",
    "    model_menc = pot.mass_enclosed(xyz).to(u.Msun).value\n",
    "    return (model_menc - Menc) / Menc_err"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce1108e1",
   "metadata": {},
   "source": [
    "Because the uncertainties are all approximately but not exactly symmetric,\n",
    "we'll take the maximum of the upper and lower uncertainty values and assume\n",
    "that the uncertainties in the mass measurements are Gaussian (a bad but simple\n",
    "assumption):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "942b4680",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:30.305841Z",
     "iopub.status.busy": "2023-08-05T14:52:30.305459Z",
     "iopub.status.idle": "2023-08-05T14:52:30.663256Z",
     "shell.execute_reply": "2023-08-05T14:52:30.662484Z"
    }
   },
   "outputs": [],
   "source": [
    "err = np.max([tbl['Menc_err_pos'], tbl['Menc_err_neg']], axis=0)\n",
    "p_opt, ier = leastsq(err_func, x0=x0, args=(tbl['r'], tbl['Menc'], err))\n",
    "assert ier in range(1, 4+1), \"least-squares fit failed!\"\n",
    "fit_potential = get_potential(*p_opt)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89b4d82a",
   "metadata": {},
   "source": [
    "Now we have a best-fit potential! Let's plot the enclosed mass of the fit potential over the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "701224fe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:30.667505Z",
     "iopub.status.busy": "2023-08-05T14:52:30.667022Z",
     "iopub.status.idle": "2023-08-05T14:52:31.231037Z",
     "shell.execute_reply": "2023-08-05T14:52:31.230401Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 1112,
       "width": 1113
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xyz = np.zeros((3, 256))\n",
    "xyz[0] = np.logspace(-3, 3, 256)\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
    "\n",
    "ax.errorbar(tbl['r'], tbl['Menc'], yerr=(tbl['Menc_err_neg'], tbl['Menc_err_pos']),\n",
    "            marker='o', markersize=2, color='k', alpha=1., ecolor='#aaaaaa',\n",
    "            capthick=0, linestyle='none', elinewidth=1.)\n",
    "\n",
    "fit_menc = fit_potential.mass_enclosed(xyz*u.kpc)\n",
    "ax.loglog(xyz[0], fit_menc.value, marker='', color=\"#3182bd\",\n",
    "          linewidth=2, alpha=0.7)\n",
    "\n",
    "ax.set_xlim(1E-3, 10**2.6)\n",
    "ax.set_ylim(7E6, 10**12.25)\n",
    "\n",
    "ax.set_xlabel('$r$ [kpc]')\n",
    "ax.set_ylabel('$M(<r)$ [M$_\\odot$]')\n",
    "\n",
    "ax.set_xscale('log')\n",
    "ax.set_yscale('log')\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "395ce8c0",
   "metadata": {},
   "source": [
    "This potential is already implemented in `gala` in `gala.potential.special`,\n",
    "and we can import it with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "243077e9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:31.234631Z",
     "iopub.status.busy": "2023-08-05T14:52:31.234139Z",
     "iopub.status.idle": "2023-08-05T14:52:31.237620Z",
     "shell.execute_reply": "2023-08-05T14:52:31.236901Z"
    }
   },
   "outputs": [],
   "source": [
    "from gala.potential import MilkyWayPotential"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9b7a04e9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-08-05T14:52:31.240692Z",
     "iopub.status.busy": "2023-08-05T14:52:31.240323Z",
     "iopub.status.idle": "2023-08-05T14:52:31.251215Z",
     "shell.execute_reply": "2023-08-05T14:52:31.250531Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<CompositePotential disk,bulge,nucleus,halo>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "potential = MilkyWayPotential()\n",
    "potential"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}