{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Detection - **Poste-processing** of circles\n",
    "\n",
    "**Content**\n",
    "\n",
    "- `interpolate`\n",
    "- `savgol_filter`\n",
    "- `curve_fit` of `decreasing_func`\n",
    "\n",
    "Here the idea is that the way in which the size of the ball decreases follows a curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pathlib import Path\n",
    "\n",
    "import pandas as pd\n",
    "from scipy.signal import savgol_filter\n",
    "from scipy.optimize import curve_fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_radius(df):\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    plt.plot(df[\"Frame\"], df[\"Radius\"], \"o-\", label=\"Radius\")\n",
    "    plt.xlabel(\"Frame\")\n",
    "    plt.ylabel(\"Radius\")\n",
    "    plt.title(\"Radius over frames\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example usage\n",
    "PROJECT_ROOT = Path().resolve().parent.parent\n",
    "CSV_POSITIONS_FILE_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"circle_positions\"\n",
    "    / \"Circle_positions_2.0_clean.csv\"\n",
    ")\n",
    "df = pd.read_csv(CSV_POSITIONS_FILE_PATH)\n",
    "\n",
    "plot_radius(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def decreasing_func(x, a, b, c):\n",
    "    return a * np.exp(-b * x) + c  # Pure exponential decay function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def process_radius(df):\n",
    "    # Ensure all frames are present\n",
    "    all_frames = pd.DataFrame(\n",
    "        {\"Frame\": np.arange(int(df[\"Frame\"].min()), int(df[\"Frame\"].max()) + 1)}\n",
    "    )\n",
    "    df = pd.merge(all_frames, df, on=\"Frame\", how=\"left\")  # Merge to keep all frames\n",
    "\n",
    "    # Interpolate missing radius values\n",
    "    df[\"Radius\"] = df[\"Radius\"].interpolate(method=\"linear\", limit_direction=\"both\")\n",
    "\n",
    "    # Smooth the radius values\n",
    "    df[\"Radius\"] = savgol_filter(\n",
    "        df[\"Radius\"], window_length=11, polyorder=2, mode=\"nearest\"\n",
    "    )\n",
    "\n",
    "    # Fit an exponential decreasing function\n",
    "    popt, _ = curve_fit(\n",
    "        decreasing_func,\n",
    "        df[\"Frame\"],\n",
    "        df[\"Radius\"],\n",
    "        p0=(max(df[\"Radius\"]), 0.01, min(df[\"Radius\"])),\n",
    "        maxfev=10000,\n",
    "    )\n",
    "    df[\"Radius\"] = decreasing_func(df[\"Frame\"], *popt)\n",
    "\n",
    "    # Convert radius values to integers\n",
    "    df[\"Radius\"] = df[\"Radius\"].round().astype(int)\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_radius(df, smoothed_df):\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    plt.plot(df[\"Frame\"], df[\"Radius\"], \"o-\", label=\"Original Radius\", alpha=0.5)\n",
    "    plt.plot(\n",
    "        smoothed_df[\"Frame\"],\n",
    "        smoothed_df[\"Radius\"],\n",
    "        \"-\",\n",
    "        label=\"Exponential Fit\",\n",
    "        linewidth=2,\n",
    "    )\n",
    "    plt.xlabel(\"Frame\")\n",
    "    plt.ylabel(\"Radius\")\n",
    "    plt.title(\"Radius over frames\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SiQz0VMRuymg0YjKZdrk1qQSuQgghxDAWDAbZtm0bXq93oKcidnNJSUnk5eVhsVh6PIYErkIIIcQwpaoqmzZtwmg0MmLECCwWiyzWI3qdpmkEg0FqamrYtGkT48eP3+kiAzsjgasQQggxTAWDQVRVpaCggKSkpIGejtiN2e12zGYzmzdvJhgMYrPZejSOPJwlhBBCDHM9zX4J0R298Xsmv6lCCCGEEGJIkMBVCCGEEEIMCRK4CiGEEGKXqapGea2XHysbKa/1oqraQE9pp8rKylAUhW+++abL5zzxxBOkpqYO+Dx605gxY7jnnnv094qi8Nprrw3IXLpCAlchhBBC7JLS6iYeWrmBu99Zz73vlXD3O+t5aOUGSqub+vS65eXlnHPOOXpHhNGjR3P55ZezY8eOTs8tKChg27ZtTJkypcvXO/nkk1m/fv2uTLlH5s6di6IoKIqCzWZjwoQJLFmyBE3r/X8cbNu2jQULFvT6uL1FAlchhBBC9FhpdRPLVpVRXNFAapKZsZlOUpPMFFc0sGxVWZ8Frxs3bmS//fajpKSEf/7zn5SWlvLwww/z3nvvMWvWLGprazs8NxgMYjQayc3NxWTqeoMlu91OdnZ2b0y/284//3y2bdvGunXruP7667npppt4+OGHe/06ubm5WK3WXh+3t0jgKoQQQgidpmkEw2qXXv5ghDe/r2R7U4CxmQ6SLNEgMMliYmymg+1NAf7zfSX+YKRL43Ung3jJJZdgsVhYsWIFBx98MKNGjWLBggW8++67bN26ld/97nf6sWPGjOGPf/wjZ511FikpKVxwwQXtfkX/xhtvMH78eGw2G/PmzePJJ59EURTq6+uBtqUCN998M3vttRdPPfUUY8aMweVyccopp9DU1BKsv/3228yZM4fU1FQyMjL4xS9+wYYNG7r955KUlERubi6jR49m8eLFTJs2jXfeeUffv2HDBo455hhycnJwOp387Gc/4913300Yo7q6mqOPPhq73U5hYSHPPPNMm+vElwqsXLky4f4BvvnmGxRFoaysDIDNmzdz9NFHk5aWhsPhYPLkyfznP//p9v11lfRxFUIIIYQuFNF44P3SLh3b6AuxeuMObGYj9b5Qm/2BcITN33up8wRJsZs7He+SeUVYTJ0vgFBbW8vy5cu57bbbsNvtCftyc3M5/fTTef7553nwwQf1BRX+8pe/cNNNN/H73/++3TE3bdrECSecwOWXX855553H119/zTXXXNPpXDZs2MBrr73Gv//9b+rq6jjppJP405/+xG233QaAx+PhqquuYtq0abjdbm666SaOO+44vvnmmx61h9I0jY8++ogff/yR8ePH69vdbjdHHnkkt912G1arlX/84x8cffTRrFu3jlGjRgFw9tlnU1FRwfvvv4/ZbOayyy6jurq623OId8kllxAMBvnwww9xOBysWbMGp9O5S2PujASuQgghhOiRYEQlHFEx29oPJ8xGA+5AmGBE7dXrlpSUoGkakyZNanf/pEmTqKuro6amRv9q/5BDDuHqq6/Wj4llDGMeeeQR9thjD/785z8DsMcee1BcXKwHoB1RVZUnnniC5ORkAM4880zee+89/byFCxcmHP/3v/+drKws1qxZ06362gcffJC//e1vBINBQqEQNpuNyy67TN8/ffp0pk+frr//4x//yKuvvsobb7zBpZdeyvr163nrrbf47LPP+NnPfgbA448/3uFn2FVbtmxh4cKFTJ06FYCxY8fu0nidkcC1N239Elb9te32woPhZ+f2/3yEEEKIbjIbFS6ZV9SlY3+q8+IOhEmzW3C2E7w2+UPU+0KcO6eQkWmdr8xlNnZvudnulBbst99+O92/bt06PaCL2X///Tsdd8yYMXrQCpCXl5eQxSwpKeGmm27i008/Zfv27ahqNIjfsmVLtwLX008/nd/97nfU1dXx+9//ngMOOIADDjhA3+92u7n55pt588032bZtG+FwGJ/Px5YtWwBYu3YtJpOJfffdVz9n4sSJu9wl4bLLLuPiiy9mxYoVHHrooSxcuJBp06bt0pg7I4Frb2qqgjWvt92+5nVIHQ3jD+3/OQkhhBDdoChKl76uBxiT4WBCdjLFFQ2k2J361/IQDSqrmwJMzXcxJsOBwdC9oHRnioqKUBSFtWvXctxxx7XZv3btWtLS0sjKytK3ORyOXrt+PLM5sQRCURQ9OAU4+uijGT16NI899hgjRoxAVVWmTJlCMBjs1nVcLhdFRdF/ULzwwgsUFRUxc+ZMDj00Gltcc801vPPOO/zlL3+hqKgIu93OCSec0O3rxIuVMsT/AyEUSiwJOe+885g/fz5vvvkmK1asYMmSJSxdupRf//rXPb7uTufUJ6OKtlYugT5oWyGEEEIMFINBYf6UHNIdFkqq3TT5Q4RVlSZ/iJJqN+kOC4dPzunVoBUgIyODww47jAcffBCfz5ewr7KykmeeeYaTTz45IZDuzB577MEXX3yRsO3zzz/fpXnu2LGDdevWccMNN/Dzn/9cL2HYVU6nk8svv5xrrrlGDypXrVrF2WefzXHHHcfUqVPJzc1NKIeYOHEi4XCYL7/8Ut+2bt26hAevWosF/tu2bdO3tddvtqCggIsuuohXXnmFq6++mscee2zXbnAnJHDtTePmwZVr4l4/QE7z1wBbv4DS9wZ2fkIIIUQvK8pOZvHsMUwZ4aLeG6Jsu4d6b4ip+S4Wzx5DUXZy54P0wP33308gEGD+/Pl8+OGHlJeX8/bbb3PYYYeRn5/faW1qaxdeeCE//vgjv/3tb1m/fj0vvPACTzzxBEC3AuB4aWlpZGRk8Oijj1JaWsp///tfrrrqqh6N1d58169fz8svvwzA+PHjeeWVV/jmm2/49ttvOe200xIyv3vssQdHHHEEF154IZ9++ilffvkl5513XpuH2+IVFRVRUFDAzTffTElJCW+++SZLly5NOOaKK65g+fLlbNq0ia+++or3339/l+tmd0YC195ktoMrP+41Eg7+bcv+lbdL1lUIIcRupyg7mYvnjuPKwybw65+P58rDJnDRweP6LGiFaKD2xRdfMHbsWE466STGjRvHBRdcwLx581i9ejXp6endGq+wsJCXXnqJV155hWnTpvHQQw/pLbV62tfUYDDw3HPP8eWXXzJlyhSuvPJK/eGvXZWens5ZZ53FzTffjKqq3HXXXaSlpXHAAQdw9NFHM3/+fPbZZ5+Ec5YtW8aIESM4+OCDOf7447ngggt22pfWbDbzz3/+kx9//JFp06Zxxx13cOuttyYcE4lEuOSSS5g0aRJHHHEEEyZM4MEHH+yVe2yPovXFsguDSGNjIy6Xi4aGBlJSUvp/AqoKjxwIVcXR96e/BOMP6/95CCGEEK34/X42bdpEYWEhNpttoKcz6Nx22208/PDDlJeXD/RUdgs7+33rarwmGde+ZjC0yrpKrasQQggxGD344IN8/vnnbNy4kaeeeoo///nPLFq0aKCnJeJIV4H+MPEXkDMVqr6PtswqeQcmHD7QsxJCCCFEnJKSEm699VZqa2sZNWoUV199Nddff/1AT0vEkYxrfzAYYK5kXYUQQojB7O6776aiogK/38/69eu58cYbMZkkxzeYSODaX/Y4Kpp1Baj4Kpp1FUIIIYQQXSaBa39pk3WVDgNCCCGEEN0hgWt/mvgLyI1lXb+GkhUDOx8hhBBCiCFEAtf+pChw8HUt76XWVQghhBCiyyRw7W8Tj0rMuq5fPrDzEUIIIYQYIiRw7W+KAnPjWmtI1lUIIYQQokskcB0IexzZknXd9g08cwK8cFb0tfx3EPQO6PSEEEIIMTSMGTOGe+65p8vHP/HEE6SmpvboWmVlZSiKwjfffNOj83uDBK4DoXXWtfRdWPN69LX6fvjvrR2fK4QQQgjOPvtsFEVp8zriiCMGemp9oqOA8/PPP+eCCy7o1Wu197nOmTOHgoICtm3bxpQpUwBYuXIliqJQX1/fq9ffGemqO1D2OBLGz4eSdmpcv3gcZl8OyTn9Py8hhBBiiDjiiCNYtmxZwjar1TpAsxkYWVlZfTLusmXLEv4RYLFYMBqN5Obm9sn1ukoyrgNFUeC05+Hq9XDlmuhr/+Z/MYX9sOqvAzs/IYQQYpCzWq3k5uYmvNLS0oBoNtBisfC///1PP/7OO+8kOzubqqoqAObOncull17KpZdeisvlIjMzkxtvvBEt7tmTuro6zjrrLNLS0khKSmLBggWUlJTo+2OZ0OXLlzNp0iScTidHHHEE27ZtS5jr3/72NyZNmoTNZmPixIk8+OCD+r7YV/CvvPIK8+bNIykpienTp7N69Wr9XhYvXkxDQ4OeAb355puBtqUCd911F1OnTsXhcFBQUMCvfvUr3G53tz/b1NTUhM81PT09oVSgrKyMefPmAZCWloaiKJx99tndvk53ScZ1IClKYlb1oN/AV09B2If2xeNUTD6fJnMGDouJ/FQ7BoMycHMVQggxfDxyMLir+/+6zmy48INeGWru3LlcccUVnHnmmXz77bds3LiRG2+8kRdffJGcnJa/e5988knOPfdcPvvsM7744gsuuOACRo0axfnnnw9ESxJKSkp44403SElJ4be//S1HHnkka9aswWw2A+D1evnLX/7CU089hcFg4IwzzuCaa67hmWeeAeCZZ57hpptu4v7772fvvffm66+/5vzzz8fhcLBo0SJ9Lr/73e/4y1/+wvjx4/nd737HqaeeSmlpKQcccAD33HMPN910E+vWrYt+VE5nu/dtMBi49957KSwsZOPGjfzqV7/i2muvTQiUe0NBQQEvv/wyCxcuZN26daSkpGC323v1Gu2RwHUwcWbDz86F1fejhP2Uvnobz2dcjM1kZFyWk/lTcijKTh7oWQohhNjduauhqWKgZ9Gpf//7320CuP/7v//j//7v/wC49dZbeeedd7jgggsoLi5m0aJF/PKXv0w4vqCggLvvvhtFUdhjjz34/vvvufvuuzn//PP1gHXVqlUccMABQDQILSgo4LXXXuPEE08EIBQK8fDDDzNu3DgALr30Uv7whz/o1/j973/P0qVLOf744wEoLCxkzZo1PPLIIwmB6zXXXMNRRx0FwC233MLkyZMpLS1l4sSJuFwuFEXp9Kv6K664Qv95zJgx3HrrrVx00UXdDlxPPfVUjEaj/v7pp59mr7320t8bjUbS09MByM7O7vEDX90lgesgs2mPc8n/5DEsWoAD6l5nTeFiakiluKKBigYfi2ePkeBVCCFE33JmD4nrzps3j4ceeihhWyyYgmhd5jPPPMO0adMYPXo0d999d5sxZs6ciaK0fKM5a9Ysli5dSiQSYe3atZhMJmbMmKHvz8jIYI899mDt2rX6tqSkJD1oBcjLy6O6Opqx9ng8bNiwgXPPPVfP4gKEw2FcLlfCXKZNm5YwBkB1dTUTJ07s2gcCvPvuuyxZsoQff/yRxsZGwuEwfr8fr9dLUlJSl8e5++67OfTQQxPmU1NT0+Xz+4oEroOIqmr8Z6PKBNcvOaz+RcxakP0r/sGHY6/GaTVRUu1mxQ9VjM10StmAEEKIvtNLX9f3NYfDQVFR0U6P+fjjjwGora2ltrYWh8PR6/OIlQzEKIqi18nG6ksfe+yxhAAYSMhoth4nFkyrqtrleZSVlfGLX/yCiy++mNtuu4309HQ++ugjzj33XILBYLcC19zc3Daf7WAIXOXhrEFka72PDTVuvh21iJAh+lTk1MpXcAS3oygKeS4bpdVuttb7BnimQgghxOC3YcMGrrzySj1oXLRoUZtA8NNPP014/8knnzB+/HiMRiOTJk0iHA4nHLNjxw7WrVvHnnvu2aU55OTkMGLECDZu3EhRUVHCq7CwsMv3YrFYiEQiOz3myy+/RFVVli5dysyZM5kwYQIVFX1X8mGxWAA6nVdvksB1EPEEw/jDEXBk80X2QgAsWpDpW6KtPuwWI4FwBE8wPJDTFEIIIQaFQCBAZWVlwmv79u1ANJg644wzmD9/PosXL2bZsmV89913LF26NGGMLVu2cNVVV7Fu3Tr++c9/ct9993H55ZcDMH78eI455hjOP/98PvroI7799lvOOOMM8vPzOeaYY7o8z1tuuYUlS5Zw7733sn79er7//nuWLVvGXXfd1eUxxowZg9vt5r333mP79u14vW0XKyoqKiIUCnHfffexceNGnnrqKR5++OEuX6O7Ro8ejaIo/Pvf/6ampqZH3Qu6SwLXQcRhMWEzGfEGw3xbsIigEs267lP9Ko5ADb5gBKvJiMMiFR5CCCHE22+/TV5eXsJrzpw5ANx2221s3ryZRx55BIjWaD766KPccMMNfPvtt/oYZ511Fj6fj/33359LLrmEyy+/PKGh/7Jly9h33335xS9+waxZs9A0jf/85z9tygN25rzzzuNvf/sby5YtY+rUqRx88ME88cQT3cq4HnDAAVx00UWcfPLJZGVlceedd7Y5Zvr06dx1113ccccdTJkyhWeeeYYlS5Z0+RrdlZ+fzy233MJ1111HTk4Ol156aZ9dK0bR4puV7YYaGxtxuVw0NDSQkpIy0NPZKVXVeGjlBoorGhif7eSAjfcws/JZAD7NPpEnUi5mar6Liw4eJzWuQgghdpnf72fTpk0UFhZis9kGejr9bu7cuey1117dWjJV9NzOft+6Gq9JxnUQMRgU5k/JId1hoaTazUfZpxFQon+we1e/RqZWS1G2k631PlS15d8bqqpRXuvlx8pGymu9Cfta686xQgghhBCDiXznPMgUZSezePYYlhdXsaHGyPspv+SIhhewEOLAqqd47ZvLebu4Uu/rCjQf68Yfjuy052tpdVOXjxVCCCGEGGwkcB2EirKTGTs3mlndUHYF/n+9jk0LMM/9HzYmn0+1kk5xRQNrKxsBiKgaeS4bSRY73mC43Z6vpdVNLFtVRq0n2OmxQgghxHCwcuXKgZ6C6CYJXAcpg0EhP9XOG/VWfMnHsKDxBcyEOObHq2iyF6BpGpuaFF60LGTPaftS7wvjDoRx2U04rc6Enq8QzcrWeoKMz3biCYZp8AVxWEyMz3ZKf1ghhBBCDAkSuA5isb6uvjFnccj3b2DV/OR515PnXQ/AHsCESCn/8D1N2Q4fwbDK+GwnGU5rm56vG2rc5LlsKIpCdWOA6qYABWl28tOSEo4tSO96c2IhhBC7h938OW0xSPTG75k8nDWIxfd1/d/IC1Bpmw0dq25mxLZ3CIZVLCYDaY5oM+D4nq+xcZKa22gFI9Hmy2aToc2xQgghho9YS6f2eoIK0dtiv2fdaSXWmmRcB7H4vq7fjzqTt82H4nE34EqysK9SwombbgDgiB3/4L+ZMxmR6sDQvERc656vsXGSbWaC4WjgajEa2j1WCCHE8GA0GklNTaW6uhqApKQkfalRIXqLpml4vV6qq6tJTU1ts9Rtd0ikMkBUVWNrvQ9PMIzDYiI/1d6mvjQ/1c64LCfFFQ04rSbSM7Mp91nY4deIpM1mkmEPpqjrGBUuY3boY4LJvwSivyDbGvxMzXeRn2oHSBgnFJdxbe/YXZmzEEKIoSU3NxdAD16F6Cupqan671tPSeA6ALralirW17WiwUdJdbRG1WxUKK3xsL7aTcBwEveqfwTguMan+ad6FJ5QNBBNd1g4fHKOHljGxllf5cYdCGM2GgiEVLbW+docuytzFkIIMbQoikJeXh7Z2dmEQqGBno7YTZnN5l3KtMZI4NrPutuWKr6v69fldZRt9+Dxh3HYzNRnzWHNtonsGfmRkaEybCVvsi37MKbmuzh8ck6747zxTQVlOzx4AhHcgVC7x+7qnIUQQgw9RqOxVwILIfqSBK79SFW1hLZUsTqiZJsZp9XUYVuqouxkxhzk4M7lP+IPRTAZFLzBCIGIxquuM9mz9ncAnOx5Bv/PL2JkevttrYqykzll/1E0+cOYjQpnzhrT6df9PZ2zEEIIIURvk64C/SjW3irWliqeoihtWljF29boZ7s7yIScZCbkpujn/5i0H1uTpwGQ7d9EUumbOw0gvcEIKXYzhVlOCtKTOg02W8/ZHQjxY2Uj3mC40zkLIYQQQvQmCVz7Ueu2VK3trC1V/Ll2s5HsZCsAI9OT+GTUBfpxyZ8uBVXteA6B6NgOa9eS7a3nXNUYoN4bomy7p9M5CyGEEEL0Jglc+1F8e6v27KwtVetzCzMdTBvpIjvZxhbX/pQ7pgJgrVsPa17tcA6xwNVp7VodU+vrxjoSNPrDNPpC0kpLCCGEEP1GAtd+FGtvta3B32b1iFhbqqJsZ7ttqVqfqyiKngXVgFdcZ7Yc/MGdoEbanYM7lnHtYqDZ+rrhSMu8t9R6djpnIYQQQojeJIFrP4q1t0p3WCipdtPkDxFWVZr8IUqq3TttS9XZudWZs/Dl7hc9uOZHWPNau3PwBqMBbVdLBdq7rqppBMIRyrZ7CEdUirKdbK33oaqyZKAQQggh+s6ABq6RSIQbb7yRwsJC7HY748aN449//GNCNlLTNG666Sby8vKw2+0ceuihlJSUDOCsd02sLdWUES69VrTeG21L1VlbqZ2eO6cQ+2E3tBy88o52s67ubta4tr6uOxCmzhskFNEIRTR+qvfx2tdbufud9Ty0cgOl1U1d/zCEEEIIIbphQAsT77jjDh566CGefPJJJk+ezBdffMHixYtxuVxcdtllANx5553ce++9PPnkkxQWFnLjjTcyf/581qxZg81mG8jp91hRdjJj5zp7tArVTs/NmgsFM6H8E9i+Dn54FaaekHB+y8NZ3evVV5SdzMg5SWx3B6hxBwhHVDaEo/WtmU4rJqMifV2FEEII0acGNHD9+OOPOeaYYzjqqKMAGDNmDP/85z/57LPPgGi29Z577uGGG27gmGOOAeAf//gHOTk5vPbaa5xyyikDNvddZTAoFKQn9e65igJzr4Onjo2+X3EDrH2j+SQTkckn4A0WAeDsRsY1JhBRSbaZKKlqItluZlJuClVNASoafEwekYLT6pS+rkIIIYToMwNaKnDAAQfw3nvvsX79egC+/fZbPvroIxYsWADApk2bqKys5NBDD9XPcblczJgxg9WrV7c7ZiAQoLGxMeE1rIydG826AjRtgzWvR1/FL2N48SxS/BUYFAW7ufuro/iCEZr8YRr8IfJcNvLT7CgKNPnDuAMR6esqhBBCiD41oIHrddddxymnnMLEiRMxm83svffeXHHFFZx++ukAVFZWApCTk5NwXk5Ojr6vtSVLluByufRXQUFB397EYKMoMP92MDva7lJD7P/TMhxWY5sFELrCGwwTjKhoGiRZTFhMRtKSLAA0+KLrW0tfVyGEEEL0lQENXF944QWeeeYZnn32Wb766iuefPJJ/vKXv/Dkk0/2eMzrr7+ehoYG/VVeXt6LMx4iRu4L126AK9dEX5d+CVYXAHtW/4ucSFWPhvWFIliMBmxmg97XNcUWLTlobA5cpa+rEEIIIfrKgEYXv/nNb/SsK8DUqVPZvHkzS5YsYdGiReTm5gJQVVVFXl6efl5VVRV77bVXu2NarVasVmufz33QM9vBld/yfubF8MGfMGoRppY9Dsxq9zRV1Tp8aMwXjJBsi27b1uDHaTWRYjcDRNtkqSrbGvxMzXdJX1chhBBC9LoBzbh6vV4MhsQpGI1G1OYlSwsLC8nNzeW9997T9zc2NvLpp58ya1b7gZfowMyLCZujT/qP2vwq1JW1OaS0uomHVm7g7nfWc+97JW1aXHmD0TrWmeMy9b6uEVXFYIhmY4srGnfai1YIIYQQYlcMaOB69NFHc9ttt/Hmm29SVlbGq6++yl133cVxxx0HgKIoXHHFFdx666288cYbfP/995x11lmMGDGCY489diCnPvTYU9k8fhEABi0M/1uasLu0uollq8oormggNcnM2EwnqUlmiisaWLaqjNLqJnyhaF/YomxnXD/ZMP6gij+kkuuySSssIYQQQvSZAS0VuO+++7jxxhv51a9+RXV1NSNGjODCCy/kpptu0o+59tpr8Xg8XHDBBdTX1zNnzhzefvvtIdvDdSCtHXM6+euewBZxwzfPwoFXQ9oYVFVjeXEVtZ4g47Od+oNbyTYzTqtJb3GV64p+5nazMaGf7Jdb6vh2Sz2T81MkaBVCCCFEn1G0+GWqdkONjY24XC4aGhpISUkZ6OkMqKc/2cy4H+5nVvmj0Q37nAW/vI/yWi93v7Oe1CQzZqOB0mo3GhpT81OBaP1qvTfEuCwnwYjKL/cawbgspz7udneAp1ZvxmxUuHhuEUYpExBCCCFEN3Q1XhvQUgHRvzyBMF+POAXV2vwL8c2zUFeGJxjGH46QZDFhNCi4A2E8gQhq879pYi2uGvzRzgFJlsQesBkOC3aLkVBEo6rR36/3JIQQQojhQwLXYSKianiDEQKmZML7XxzdqIbhw7/gsJiwmYx4g2HMRoVYwjQYjj4kF2txFUvOt168QFEURqZFuwj8VCcLDwghhBCib0jgOkzEFgQwGhTMB1ys93Xl23+Sr1UxLsvJtgY/mgbW5sA0EFbRNI1tDX7GZDr0gNVuabvq1si06BK0P9V5++FuhBBCCDEcSeA6THgC0cA1yWJEsafBrF9Fd6hhDB8tZf6UHL3FlappqJpGrSdASbWbdIeFA8dnoigKJoOCxdj212Zkmh1N01i7rZE1FQ2U13pR1d26fFoIIYQQ/UyWNxomYoGr09r8Rz7jIvjkQfA3wDfPUnTg1SyePYblxVV8VFpDnTeI1WTggHGZHD45B6c1utCA3dL+crF1niDf/FRPdWOA0mo3aUkWxmU5mT8lRzoNCCGEEKJXSMZ1mPAEoj1YHbHA1Z4KMy+J/qxF4H9/oSg7mYvnjuPMmaOZUZjBEVNyuejgcRRlJ+tLvLZXJlBa3cQTH5fR6AthMxtJs5vb9IAVQgghhNhVknEdJmIZV4c1LvCccSF88kBz1vWf4G/EoCgc6A+THClkW/6FLcu9Ni8+0LqjQHwP2Ak5yWze4cUdjFCQkdgDdmymU1bTEkIIIcQukcB1mHDHAldL3B95LOu68vZo1nXtGwAkAwcCHyRlwf5XANHOAgB2c+KvzNZ6Hxtq3OS5bHr/1iZ/CE3TUBSFPJeN0mo3W+t9FKQn9eUtCiGEEGI3J6UCw0Ssq4BeKhAz8yLImtjuOdM3PUY4FATAGwtcW2Vc43vAJlmMGBRQtWhHgtjxgXBEv74QQgghRE9JxnWYcDfXuDpbB642F1y8GtyV0NynVXvtIpRNH5Lq/wnPV//ENGNRh6UC8T1gk21m7BYjnkAEbzCMzWzUe8AmZHqFEEIIIXpAMq7DgKpqbK3zst0doMEXatumymCAlBHgygdXPsrc/9N3WT6+CyLhuFKBxMA1P9Ue1wNW00sJfMGI3gO2KNtJfqq9T+9RCCGEELs/SYPt5kqrm3iruJKV62oIR1Sa/GH2yEneeZuq0bOozppFds1qzA1l8N1zeIMHAW1LBQwGhflTcqho8FFS7W4uFdCo9QTxBCOkOywcPjlHHswSQgghxC6TjOturLS6iWWryviuvB6b2Ui600Km09KlNlXl0y5refPhn/H5o0u5ti4VACjKTmbx7DFMGeEiGFap8wbZ4Q0yNd/F4tljpI+rEEIIIXqFZFx3U/FtqgrS7TT6w1hMBpJtXWtTpRXMZHPqDEbXfwp1Zeyx+Vk2umbibAiAmgKpoyBuIYKi7GTGznXyY2UTz3y6GZvZyAUHjsVkkn8bCSGEEKJ3SOC6m4pvUxWKRJ/wjy3V2pU2VSl2M58UnB8NXIE5G+9hDsDXzQfMuAgW3JFwjsGgMCkvufmaGo2BMOkmS1/dohBCCCGGGUmH7abi21QFI9GHsSxx2c/O2lSl2MxUpEznp/RZ7V/gs0ehZn2bzYqikO6wAlDrCeziXQghhBBCtJDAdTcV36Yqw2Fhz7wURsQ92d9Zm6oUe3T7m+Nuommfi/k++xjWjTgWCg+OHqCp8OGf2z033RHNsu5wB3vvhoQQQggx7EngupuKb1NlMiik2M16D9eutKmym42YjQpeSyYle/2Wd8ffwBfT/wCnPAv29OhBxS+1m3XNcDYHrh4JXIUQQgjReyRw3U3F2lSlOyyUVLtp8ocIqypN/hAl1e5O21QpioLLbgagqsEPNHcUsDphdnPHgQ6yrhkOCVyFEEII0fskcN2NxbepqveGKNvuod4b6nKbqpTmwLWyMRq4xhYX4GfnQ1JG9Od2sq4ZzTWudZ5g28UOhBBCCCF6SLoK7OZibaq21vvwBMM4LCbyU+1dWhAgxRYNXOu9ISCuh6vVCQdcBu/+vjnreics/FvLeXYTZqNCKKJR7wvpNa9CCCGEELtCAtdhwGBQ2m151ZnYA1oxCatm/ew8+Phe8O6A71+CcEDv66rkTiU96USqmoLUegISuAohhBCiV0ipgOhQLOMaYzfHBa6xrCsAGqx9A9a8Hn3991amV70KSGcBIYQQQvQeCVxFh2I1rjFtlnvd/3zImdruuUXrH8WoBuUBLSGEEEL0GikVEB1qk3FtHbhaHHDhh+CuBK35Iax/XQ6l72D1VDC56l9UuE7rp9kKIYQQYncngavokM1swGxU2OEOEoyo1HlC5CTbEh/sMhggZUTL+3n/B6XvAPCzn5Zxf+oC1lSk4rCaUABvKNKlB8RUVevRA2W7eq4QQgghBi8JXEWHNtS4+WZLPT/V+whHVNyBMBOyk5k/JafjVlr5+8CEI2D926QEq0he+xx/rDyGBl8Y0Mh0Wsl0WhmX5exwnNLqJpYXV7Ghxo0/HMFmMu70+N46VwghhBCDm9S4inaVVjexbFUZNe4ANrORDKeFDIeF4ooGlq0qo7S6qcNzy6f9Wv/5FP+L1De68QTCeANhdngCgNbhOLHrFlc0kJpkZmymk9Qkc5euuyvnCiGEEGLwk8BVtKGqGsuLq6j1BBmdnoTVZMBiMpJsMzM+20mtJ8iKH6raXVxAVTXeqM7lu6RZAGRp2znEv4KcFCvZKTYCIZXKxgBFWY4248Rfd3y2k2SbGaNB6fJ1e3quEEIIIYYGCVxFG1vrfWyocZPnsmFrfiDLbIz+qiiKQp7LRmm1m631vg7P/XTU+fq2s8IvU9fopropQCCsUt3oxx2ItBkn/rqqprGuspGapkC3rpvnsqEB66qaqG7yd+lcIYQQQgwNEriKNjzBMP5whCSLCYc1WgYd3wrLbjESCEfwBMMdntuQNoVi5wEA5LCD+cEVhCIqEVWj0R8iGIm0GSf+ug2+MHXeEBUNvm5dN8lioskfos4TZFuDv0vnCiGEEGJokMBVtOGwmLCZjHiDYVJsZqYXpFKY6dD3+4IRrCYjDkvbZ/viz/145Hn69rPVV8hxGFA1jYgK/pDaZpz4c8OqCkAgFAG0bl033FwOEIm0lAXs7FwhhBBCDA0SuIo28lPtjMtysq3Bj6Zp2M1GDM3LuWqaxrYGP0XZTvJT7Ts9tyltMl/YZgKQqe7gyNA7GBQFu8VIrSfQZpz4c0PhaOCqahCKaN26bjgSPTfS3Fu2s3OFEEIIMTRI4CraMBgU5k/JId1hoaTaTZM/RFhVafKHKKl2k+6wcPjknHZ7o8afW1rj4YPcc/R9v2x6jkybRorVxJYdXoIRlaJsJ1vrfaiqlnDullovgXAEVdPY4Ql267plO6LnhiIqjb7EcwHKa738WNlIea1XHtYSQgghhhBF07Td+m/uxsZGXC4XDQ0NpKSkDPR0hpT4nqiBcPSr9qJsJ4dP7l4/1TM2Xcc+/tUAPJl6Ka+ZF7DDHcRhNVGY6cBmTuy1WlrdxAP/LWVtZRNhVWVMhoN9RqV1+bqPfbiJb3+qJ6yqTM5zsUdush60So9XIYQQYvDparwmBX+iQ0XZyYyd6+zRKlTx54YrboKXFgBwcuBFvso4GncgjNVsJN1hwWIyUFzRQEWDj8Wzx1CUnczcidmkJlkIRlRmj8vgiCl5Xb7u/Ck5JFmMBCMqZ8wczR45yWzc7mbZqjJqPUHyXDaSLHa8wXCb6wohhBBi8JLAVeyUwaBQkJ60a+emHwDfHwXr3sTmq+KSrb/BY0oj0BTBtzGNdZMuxZmdRkm1mxU/VDE200kwrJJiNwNgsxi7tWRrOKLp52YlWwESeryqmoY/HCHZZsZpNSVcV5aGFUIIIQYvCVxF/5j7W1j3JgAT/N+1bPdD7vom3p7854Req/7mh7MAGn3da2EVjLScGwyrCT1eFUVhU42H7e4AE3KcpDusCdftaZAuhBBCiL4nD2eJ/pE3nbo9z2x316T6lWR61if0Wo22wYpq9Ie6dalgXNAbCKsJPV4BfM1jl9f6ol0TpMerEEIIMSRIxlX0G/ehd3JX6ATSbRpOq4nMTa9z3I7HAJi55TH+WXi73mvVHx+4+kJomoaidO1r/PjANRhWE3q8JtvMRJp7xPpCEXZ4glhNBunxKoQQQgwBknEV/SY/1U5u3kjW+1JosmTzv/QTqDWkAzC+diXG6mKKsp1kJ1sJxS0eEIpoepa0K1qXCrTuSxuOa4FVvsNDabUbl92Mpmk7bY+lqpq00hJCCCEGkKSYRL+J9VqtaPBRUu0GTLzqOIlzmx4G4NjGp7FOPlIPPA2KgsNqpMkfptEX1r/q70xCxjUSaXNdbyCMyWjAHQhR1RDA3ryc7T3vlnTYHiu+vZe00hJCCCEGhmRcRb8qyk5m8ewxTBnhwhdUeYmf61nXyQ0fUhTZhD8UDTytZgMptmh3gO7UuQZa1bjGX3diXgq+kEpVo586TwgUyHRamZrvIjXJTHFFA8tWlVFa3aSPUVrdxLJVZRRXNJCaZGZsprPDY4UQQgjRdyRwFf2uKDuZi+eO49w5hewzNo81Y89r2fnfWwlXriHDu4HcwGZc1ujX8Y2+rgWuqqq1qXGNv+7Zs0YzszCddIeF8TnJ7JGTjM1spN4XItlmZny2k1pPkBU/VKGq0dKB+FZayTYzRoPS7rFCCCGE6FtSKiAGhMGgMCbTQabTyqaMhcyp/Ae4K6FkOXklyzmr+TivazzrJ/29yxnX+PpWSAxcAUJq9CGvcERjfLaTRn+Y8lovP9V5yXRaUBQloT0WkNBKq9YTpLrJz7gsJ2ajQVppCSGEEP1IMq5iwCQ115a6VTMceHX7xzSUMLXyFRq6mHFtE7i2eh8IqwQjKqqmkWQxkZtiRVHAH1L1soL49litW2lVNvio94ao8wTbHCuEEEKIviUZVzFgYsGgPxQhcuC5GNUQVK+lxh2gusHLntVvoqDxs61P8uq4k7s0ZusMayDU+n0EizHa/irWHstsMBCMqIRVDSvgC0YS2mPFt9KKBcKx/219rBBCCCH6jvxtKwaMzWxAUUDTwBfWcM66BIB1Jdv5vKyWLJtK9pb/4AjVMnrjc2hzbu60l2vrwLW9jGuyzUSey8a2Bj9OqwmTUSEYiS4Vq2ka2xr8TM13kZ9qB2BclpPiigacVpPepisYVts9VgghhBB9R0oFxIBRFAW7OVou4Au29GmN9WzdNv3XaEQD1X1++gdeT+dP77cJXFtnYMMqiqKw7+g00h0WSqrdhJpLBxp8QUqq3aQ7LBw+OQeDQdFbaaU7LKyrbMIbDKNqGo3+UJtjhRBCCNG3JHAVAypW5xofuOqrZmXviTL5WAAcoVoin/2t0/FiGVaLKfqr3bZ0IDr26AyH3pYrEFap8wap94aYmu9i8ewxCb1ZY620inKc+EPRYxt87R8rhBBCiL4jpQJiQNmaM67eUMvDTbHA1WY2wkHXov3wGgoaSZ8/AHMuBIujw/FiNa0pNhPb3cF2SwUg2iO2KDuZsXOdpDnM/FDRyKxxGRw5Ja/d7GlRdjIn7VeANxAhGFFx2U1cdPA4ybQKIYQQ/UgCVzGgYg9oJWRcm4NLm9kAGXtSOfII8n56C5NvOzx1PCTnRA+0p8Pc6yA5Vz83GImO44wFrmEVVdX0AFMPXE3RgNlgUBiZlkRVY4AUm3mngagvFCHFHl0QoZNSWyGEEEL0AQlcxYBqr1QgEJ9xBar2+jW5P72NggblnyQO0LgVTn+x5dzmwNRpNevbghEVm8HYvD86ttXUUiUTW/JVL1HogCfQkhXWNPCGIjit8n8hIYQQor9IjasYUHqpQDs1rrbmrKgpbwpf553S/gAlK+CnL/W3sZpWu9mIqVWWFVpKCazmll/92HV8nQSu7kDi/vhAVgghhBB9TwJXMaD0jGtz0BiKqHrLqVhw6bKb+WDsVTw3dyVcuSb6mr+kZZCVLT/HAleLydDuA1p+PeNq1LfZmq/Tuudra60DVbcErkIIIUS/ksBVDKjWpQKxbKtBUfSv81NsZjRNo9RtZa3XSXkkDXW/c8E1KjpI6Tvw0xdAS1cBa3zgGmkn4xpXKhDL+saC2o7EAtVYfatkXIUQQoj+JQV6YkDF6ku9zUum+kMtD2bFFhuobPTzxeY6aj1BttR6cVpNjMtycuLel5C98rfRgVb+Cc54qdOMa8vDWS2Bayyz29Ua13SHhR3uoGRchRBCiH4mGVcxoOx6O6zEjGssC1pa3cQ/VpdR6wliMxsZkWojNclMcUUD9+/Yn1DyyOhApe9A+eeJgasxMXDVNK3l4SxzfKlA7OGs6GpY7dE0Ta/DzU62Recc2HmgK4QQQojeJYGrGFCxdliBkEpEbQksbWYDqqqxvLiKWk+Q/FQbVpOBcEQj2WZmfLaTGp/GR3mLWgZ7/1bs9evJ8G4gqb4EqyGaEY0FrsGISiwuTSgVaK53jaiaXl/bWjCi6uNkp1gB8AQl4yqEEEL0JykVEAMqWhIQbS/lC0XiSgWMbK33saHGTZ7LRlVjAHcgon/VrygKeS4b//HM48DkJzE1/QQbV3LMxpXRgb+GnzvHsGXyE3pv19i5RoOidxwAMBuj78Oqhi8U0UsM4nmas6sWk4HU5l6uUioghBBC9C/JuIoBpShKS7lAMKyXClhNRjzBMP5whCSLCXtzHWp8ltNuMeKNGKjZ57J2x3a4y9ir8gU9YI1/MEuJW0FAURS9XCDQQZ1rrL7VaTXpvVvl4SwhhBCif0nGVQy4JIsRbzCCP6jqbbHsFiMOiwmbyYg3GCbZZgZ8NPpCgAYo+IIRrCYj4WlngF1DqyqmeGsjCiqTa95E0VT23foMn/vOBzLbXXwgxmY24A60PBzWWiy76rCacDQHrt5gJGFVLiGEEEL0LQlcxYCzW0xAEG8o3FIqYDKQn2pnXJaT4ooGxmU5MCgQimj4Qio2k4FtDX6m5rvIT0uCmRcRCEV4d+UGAPbMdaB89xz2cAO5P/4Dptzc0lEg7sGsGGsnLbFaMq5GkixGDIqCqml49KBaCCGEEH1NSgXEgLPHrZ4V31XAYFCYPyWHdIeFDTUeTIZosLit3kdJtZt0h4XDJ+foGc9Yv1aTQcFw8LVoSvTXe8y6v4O/sd0erjEtnQU6CFybOwokWUwoioLD2nbFr76iqhrltV5+rGykvNaLqrb/AJkQQgixuxvQwHXMmDEoitLmdckllwDg9/u55JJLyMjIwOl0snDhQqqqqgZyyqIPxBYh8LcKXAGKspNZPHsMU0a4AIU6b5CqpmimdfHsMRRlJ+vjxLfCImMcDeOPj74PNcBnj8SVCrTNuNpMsV6u7ZcKeOJKBeL/t68f0CqtbuKhlRu4+5313PteCXe/s56HVm6gtLqpT68rhBBCDEYDGrh+/vnnbNu2TX+98847AJx44okAXHnllfzrX//ixRdf5IMPPqCiooLjjz9+IKcs+kDLIgQR/OGWBQhiirKTuXjuOC47tIgZhRnsNzqNCw8amxC0QkvXgFhXgMafXY4a+xX/+H7C3gag/YyrvdXSs6254x7OgpZguy8f0CqtbmLZqjKKKxpITTIzNtOp97BdtqpMglchhBDDzoDWuGZlZSW8/9Of/sS4ceM4+OCDaWho4PHHH+fZZ5/lkEMOAWDZsmVMmjSJTz75hJkzZw7ElEUfiF+EINAq4xpjMCjsXZDGJxtqCasaDf4w6Q5LwjHBVoGrklHEj1kL2LPmTfDXM+Hds3Fp6aSVm6E0Bw7+LbjyE67XYamAnnGNHufs44xrfA/b8dlO3IEwDb4gDquJ8dlOSqrdrPihirGZTnk4TAghxLAxaGpcg8EgTz/9NOeccw6KovDll18SCoU49NBD9WMmTpzIqFGjWL16dYfjBAIBGhsbE15icIsvFfAF2w9cAUxGA3mpdgB+qvO22a8Hrs0rZlnNBj4tOEfPurq2f82EHe+RteVt+OpJeO0i/dzYIgTtBa6apiW0w4KWUgFPH62eFd/DVlEUqhr9rK9ys8Md1HvYlla72Vrv65PrCyGEEIPRoAlcX3vtNerr6zn77LMBqKysxGKxkJqamnBcTk4OlZWVHY6zZMkSXC6X/iooKOjDWYveEPuavtEfItz84FF8qUC8kWmxwLVtwNY642o1Gqm3j+LrgrPav/CmD6FsVcL1Au3UuAYjqr6iVmylr77u5RrfwxZayiBiZQ52i5FAOCKrdwkhhBhWBk3g+vjjj7NgwQJGjBixS+Ncf/31NDQ06K/y8vJemqHoK7HgrMkfDcIMiqJnTVtrCVy9aFri0/WxFbJiwV0sgP1w1CWo12zkzUPf47H9/k3lnFtbTvrgT0BcqUA77bDiV82KjalnXPsocIzvYQu0aeUV62HrsEhHOyGEEMPHoAhcN2/ezLvvvst5552nb8vNzSUYDFJfX59wbFVVFbm5uR2OZbVaSUlJSXiJwc3eqiwgugxs+3WbuSk2jApsq/fz2abahPZQrR/Oil+6NWhNpd6chduag2/aWZA+NrqjOetqNce6CrQXuCaWCQA4+vjhrFgP220NflRV1bPJVpMBTdPY1uCnKNtJfnPphBBCCDEcDIrAddmyZWRnZ3PUUUfp2/bdd1/MZjPvvfeevm3dunVs2bKFWbNmDcQ0RR+xmQ0Y4gLV9upbY8p2eFhT2cTqjTvatIdqCe6i5xsNCqbmB5cCYbWlj6vFAgdd2zLoyiV68OwLqm0yue5WrbDif46tntXb4nvYrq1sam7lpeEPhdvtYSuEEEIMBwMeuKqqyrJly1i0aBEmU0tg4HK5OPfcc7nqqqt4//33+fLLL1m8eDGzZs2SjgK7GUVRsFtafhVbZ2BjYu2h6jxBbGYjyTZTQnuozTs8QGKmNfZzMKwm1olOPRHSx0UPKvsf9opPAFA1TV/IICZ+1ayY2OpZmtZ35QKxHraFmQ78IRV3IEK9N9xuD1shhBBiOBjwArl3332XLVu2cM4557TZd/fdd2MwGFi4cCGBQID58+fz4IMPDsAsRV+zm416Lam1nQez4ttDTcpLZu22JtyBMMk2E05rtD3UF2V1FGY6EupjLSYD3mCEQDjSsgCB2QhGExx8Lbx6IQDGD24nO+NyIppGcFsQa954MFmB9jOusdWzmvxhPIFIny37WpSdzNHTRxCOaGQlWzl6+gjyU+2SaRVCCDEsDXjgevjhh7f5ajbGZrPxwAMP8MADD/TzrER/s1tMQBBov1Qgvj2Uw2rCoEAoouELqdjNRvJcNr4tryfTaW034+oJRIj9mukLEEw5AT64E2o3oGz+mNM3fxzd/jWQOhou/ADsafqyrvGBa+x9kz/c50/2u/1hUuxmJuYlU5Ce1KfXEkIIIQazAS8VEAJaerlC+4FrfHsog6K0LLna3InAbjESjKgEI2pC4Bqrd23yh4DEutdo1vW37U+ofjN88lD0GrGMq6Vt4Ap9u3oWRNuEAaT0UVZXCCGEGCoGPOMqBCTWtdraWZI1vj1Uss2MwxLNdvpCYcCKLxjR22i1LhWAllZbVlOrjgXTToJgE1R8w8btHryBMJO3/wdFDUcD15kXt1k1q2VO0fd9tXpWTKMvOn6KXQJXIYQQw5sErmJQsHeScY21hyquaMBpNenH+4IRvT1UmsNCss3UUgpAyypasayltXVQrCjws2gbth++raC02k1emoOMdf+EQCPa6gfxcBKQ2A4L+n71rBjJuAohhBBRUiogBgWb2UCjL8R2d4AGX6hNi6n49lAl1W4iqoaqadR6gnp7qLGZDhRFaVUq0CrjupNWW7GAecvki8HQHKR++hCe+u1sdweo8wYT5pVkMdLoC1FS1UR5rZdwWKW81suPlY0J/WUh+nBZR/t2JhxR9Yxuil3+nSmEEGJ4k78JxYArrW7i9a8rWL1xB+GIyvamAN//1MD8KTkJLZ9i7aGWF1exrqqJOm8Qk8HAnPFZHDE5lze/3wa01LVC+6UCHYkt+9poGwF7nQ5fPYkSaGLkumX8w3Y6vmCEcVlO5k/JAeD1b6JzNhoUvtpSRyCkYjVHV9eymYwJxy4vrmJDjRt/OJKwr7OWVu5AGE0Ds1HpsE2YEEIIMVxI4CoGVKw369Z6LzazEbPNRLrDQnFFAxUNvjb9Souykxk718nWeh9PfLwJVYUT9xtJWpJFP8ZsbKlhjQWusRWx4oPa1vRlX0MRyiZfTMFXT2MkwrHBf/FR5ol6z9i1lY0AeIPh5nOi2dR6X4i0JDP7jErDZjYmHBtRNfJcNpIsdrzBcIf311p8fWtHq4kJIYQQw4WUCogBE9+bdXx2MlZTdAUtV5KZ8dlOaj1BVvxQ1W7ZQEF6EhNzU0ixm6nzhPTFBUwGBZOxbY1rzE4zrs1BrTcY5s3NZj5OWQCAQ/Pym+03cErZjVxReytHblpCQ0UpE7KdWIwK25sC+EIRspwWvMEIG2o8OK0mirIcrK9qYn1lE0VZDhxWE75QtPfszu4vntS3CiGEEC0kcBUDJr43a3xdqsmgoCgKeS4bpdVuttb72j0/0xldIGCHJ6Av92ppFZi2ft/e4gYxsVKBqoYAG2rcfDVqMRGiwezYwI9M2PEee9T+lyNDK/itdymBUIRgRMUXUgmGVeq80QB68w4PTf4w7kCEiKoR0TTcgQibd3go3tpInTfUpfsDaPQ1B65S3yqEEEJI4CoGTnxvVpPBQH6anZFpdoyG6K+l3WIkEI502OA/3REtD6j1BPVlWtsEqm3ed14q0OgP4Q9HCCUX8Fba6e0eO0X9kYKGz8lOtmE0RINes9GAUVEINfeTjc1JIbqMrD8UfR972Kqz+4vNBSTjKoQQQoDUuIoB1Lo3a0Fa4qpQvmAEq8nYpvF/TIYzGrhudwe7nnHd6cNZ0cBV0zRsJiOeQJhnk07nFcvRTM+xkGQxklO9il9uWQLAoVV/p3zCw2yptWIzGzEZoLzOh4KCxagA0ZpUjWh/2UhzSUCgOYDt7P5AergKIYQQ8STjKgZMrDfrtgZ/m2V/Y71Zi7Kd5Kfa2z0/wxEtFWj0hfRFAlrXtLYOXNvrEduyL3qs1WRkbJaDsh0ewhEVvymFiDMPtzWHkhG/pMxQAMAoz/dMDnxFWpIFtz8EmkYwrGKzGHFYTTitRowGBaOi4LQaWwLXcKRL9weScRVCCCHiSeAqBkzr3qxN/hBhVaXJH9J7sx4+OQeDof2n6e0Wo75UbGWDH2jbp9VqbPW+KxlX4JCJ2ZiNBmo9QcxGhYim0eQPUbrdx3s5i/VzZmx+hDEZdowGhfJ6PwZFIdVupsEXprTGw4ScZCbkJlNaE12VS9W0aO/XLtyf9HAVQgghEsnfhmJAxfdm3VDjpqrRj9VkZGq+i8Mnd97nNMNpxVvrZVtD9AGnzjKuO3s4y2w0YDIohFWN/LQk9h2dpvd/Ldvu0ed18J7nEXj+eay16yjwFDNix2pq0vclO6yyrd6HPxyh1hPQ7wGifVzf/L6CYETFZDBw0IRsjuikj6v0cBVCCCESSeAqBlx8b1ZPMIzDYiI/1d5hJjJehsNCea2XHZ4g0Daj2rbGdecBoM1sxB0I4wtGCKsaPxuTxiETs6Nf/8fP6+fXw4tnA3Be+Dnq580gy2nhqU92sEnN4dj9xrJXQap+D2MOcrDdHSAYUbEYDZw+YxRpDstOZgINekcB6eEqhBBCgASuYpCI9WbtrlhngViJbOtA1WhQ9Cwq7LxUAKJ1ru4AbKn16vWq00amtg2iJx0DWZOgZi326q+xPzMXgMVAoyWHxhnvYTCk6YeHNS3hASt3INxp4Ko/mCX1rUIIIQQgNa5iiIt1FohpHbhCYnlA54FrNCNbWu0G6DjzazDA3OvaHSMlWIXjywcTtsUWSIiJZVN3Rn8wS+pbhRBCCEAyrmKIi3UWiGld4xrb5iHSZlWt9sQC16rG6MNeI9N2kgXe8xg4+q/w0xfNGzQi376AUQ2S8v0TcOjV4MgE0Nt1xcSC0p3RFx+QjKsQQggBSOAqhji7xYjDasQTiADtZ1wtJiMQ2umDWTGt22UVpHXcqgpFgX3Pjr6abWmEwg1PYwx74eN74bA/AOiLEcTEygB2piXjKoGrEEIIAVIqIHYDqUkWGn0htrsD1HqCqGpiT1iTUaHRF6LeG6K81ttmfzyLSdHH8ocipCftvA61tfJJFxBWms/57DHwbAe6n3FVVY0tO7xsdwdw+8M7nbMQQggxXEjGVQxppdVNfLphBz9sayQcUdnuDvDNlnrmN7eaKq1u4sP1NZRWuzEbFSob/IzLcur7W4/1dnElX2+pJxxRSU2y8MiHG9s9tiNaygi+zz2Ovbc9DyEvrPorHP5HPXA1GxVCEU0vA+jont76vpL3fqwmHIn2td0jJ6Vb8xBCCCF2R5JxFUNWaXUTy1aVsa3Rh81sJM1hId1hobiigWWrynhvbRXLVpVRURfdn5tiIzXJrO8vrW5qM9bmHV59rFyXtd1jd8ZqMvB5/iIihuas6+d/A3eNHrhmOqM1ue5AWF9Jq717+uanemxmIxlOC5nO7s9DCCGE2B1J4CqGJFXVWF5cRa0nyIScZKwmAwZFwWUzMz7byQ53gCc+LmOHO8jINDtWkwGzyUBy8/5aT5AVP1ShqlrCWGMzk/SxclPsbY7tjMVkwGPNYkvhydENIS88eyL571zIUT9ex5w1N5MR+AlNA7c/sc41fh4jU21YTQbsFlO7cxZCCCGGIwlcxZC0td7Hhho3eS4bDktLxYvRqKAoCsk2E2XbPaTYTJiaH9gyNbe1UhSFPJeN0mo3W+t9CWOZmxcoMBoUkizGNsd2JtbVYN24c8HY3PGg4mvSN7/FhB3vMbLsZY5cfwNoWps61/h5eIPRDG2sfVd35yGEEELsjiRwFUOSJxjGH46QZDFhMhooSLMzItWOyRD9lTYaFEIRFYNBIctpJd1hITvZpp9vtxgJhCN4guGEsZKtJrKSrYzJSNJXq4o/tjOxQLPRnNlhn9fMxh8orPuoTS/X2DxsZiOVDdF2XGlxD4d1Zx5CCCHE7kgezhJDksNiwmYy4g2GSbaZyW/VbzWiapiNBlRVw2Y2MiEn8aEmXzCC1WTUs7XxY43Lcu702J2JteMKRFQ48CrYbzEEvaxcX4Nv/UoWlPwegFlbHmOD75ft3lN5rSe6NKzJQHZyS5/a7sxDCCGE2B1JxlUMSfmpdsZlOdnW4EfTEms+NU2jyR9mTKaDRn+43f3bGvwUZTvJT7V3Olb8sZ2JBa56+yt7GrjyabJk82PWArwZkwHI8azFuvEd/TxV1VA1DafVxJqKJlRVJT/Vrmd9uzsPIYQQYnckgasYkgwGhflTckh3WCipdtPkDxFWo62jSqrdZDitnH3AGDKc7e9Pd1g4fHIOBoPS6Vjxx3YmVuPaum9rMKyCorBjv6v0bYU/3AeaRml1Ew+t3MBf3y3hu6317PAE2bTDSyAU6fE8hBBCiN2RfOcohqyi7GQWzx7D8uIqNtS4qWr0YzUZmZrv4vDJ0Z6nozOSdrq/O2N1RXzGVdM0PWMaWzkrOG4+oexpmKu/I71hDRWfvcKyignUeoLkpthIshjJddnwBsJ8Ux4NYjOd1m7PQwghhNgdSeAqhrSi7GTGznWytd6HJxjGYTGRn2rXs5Kd7e/OWF1hbe5KoGoaoYiGxdQcuDZnYK1mI5GDfov5pdMBMP3vDqxp1zIzI4ntjUEMkTSykm1Mn5jF9xWNjM10snj2GEamJUmmVQghxLAngasY8gwGhYL0pB7v7+mx7TEbFRQFNA39AStoCVwtJgPWPY+k2jmRbPePZLvXcZP7XCiPnl9ryOChCY9jNKYxLstJvTeEoigStAohhBBIjasQvUpRlLYPaAGBcAQAq9GIYjDw/fhftXt+urqDBQ3PAdL+SgghhGhNMq5C9DKL0UAgpOqBq6pGywagpQa2cdTPea32d6Tv+BKn1UyjL8RM3/vYtADTql7li5GLqFRd0v5KCCGEiCN/IwrRy6wmA020ZFxjD2ZBS+CaYjPzbf4xfJw8n/JaLxGzhseYzFFNL2JSA+z30xM85riQqfkuaX8lhBBCNJNSASF6mV4qEImWBwSaA1iTQcHYXKvqtJlo8odxJUWzrTs8QVZlnUrQEF3da2rlK4y2NEr7q3aoqkZ5rZcfKxspr/WiqlrnJwkhhNgtSMZViF6mr54Vy7jGPZgFUFrdxFvfV/LJxh1EVJVwc+BVpabwgesYDqt7HrMW4iLj66RmzxuAOxi8Squb9JZl/nAEm8nIuCwn86dIqzAhhBgOJOMqRC+zGKMtsVqXClhMBkqrm1i2qozNOzzYzEZSkyy47BbyUmw4bSbMcy5HNUVLA1LXPAuNFQNzE4NQ7LMrrmggNcnM2EwnqUlmiisaWLaqjNLqpoGeohBCiD4mgasQvczaQcbVbDSwvLiKWk+QibnJWE0GDIpCis3EvqPTCIZV1jRaUX52fnSgSACePRleOCv6eu0SqFk/IPc00FRV0z+78dkOghGVBl8Ih9XE+GwntZ4gK36okrIBIYTYzUngKkQva90OK/a/3mCEDTVu8lw2LCYDsdLV/DQ7BoOBPJeN0mo3FZPPB3NzL9nK72DN69HXN0/Di2eDqra+5G5va71P/+xAoaTKzfqqJtTm1clin93Wet9AT1UIIUQfksBViF7WOnCN9XBVNQ1/OEKSxQQojMlwkOuykeW0Ai19W5tMqTDvd0A7D2VV/wBr3+iHuxhcPMGw/tnFJ1WV5s9Iet4KIcTwIA9nCdHLWroKJGZcnVYTNpMRbzBMss1Mdoot4TxfMNLSt/WAS2HvMyDoie786bNothXggztg0i/BMHz+3emwtHx2dotR3x7LWid8dkIIIXZbw+dvPiH6icXYfqlAnsvGuCwn2xr8aFpiLaamaWxr8FOU7Wzp22pPBVd+9LXnsTBy/+j26jWw9vX+uJVBIz/Vrn928XWs0eV12/nshBBC7JYkcBWil1lblwo0Z15tZiPzp+SQ7rBQUu2myR8irKo0+UOUVLtJd1g67tuqKDD3upb3K+8YVrWuBoOif3al1e7m8guNJn+4889OCCHEbkMCVyF6md7HNdK2j2tRdjKLZ49hyggX9d4QZds91HtDTM13sXj2mJ33Ih13SEvWtWYtrHmtL29j0Il9dnvkJuMPqdR5Q13/7IQQQuwWpCBMiF6mB66h6ENZeuDaXEJQlJ3M2LlOttb78ATDOCwm8lPtnWcLY1nXp4+Pvv/gDsiaGN3emsEE6WPBYGy7bwgryk7mrAPG4AlEUAyw+IDCrn12QgghdgsSuArRy6ym5gUIWmVcreaWLzgMBoWC9KTuDx7Luv70GdT8CA/N6vjYgpmw+D+7XfCKBil2M06rqWefoRBCiCFLSgWE6GXx7bA0TWtZOcvYC/93UxSYd33Xji3/BIpf2fVrDjKR5gfbjJJlFUKIYUcyrkL0sliAqmkQimh6yUAsoN1l4w6B4x6Fsv+1vz/kg+KXoj9/cAdMOX63yrpGVAlchRBiuJLAVYheZjYqzW2aouUCesa1twJXgOknR18daaqEzR/BjhIofhmmndR71x5gsWYKUtcqhBDDj5QKCNHLFEVJKBfQa1yN/Zj1jG+d9cEdoEb679p9LNwcuRrbeyhNCCHEbk0CVyH6QKxcwB+KEIpEv9ru1YxrZwoPhNFzoj/vKIXvX+q/a/cxVa9xHeCJCCGE6Hfyn34h+kBsEQJ3IKxv69fAFRKzrh/eCZFwx8cOIc2VFxiH0ZK3QgghoqTGVYg+EAtSm/zRYNFkUPr/YaJY1nXzR9Gs69PHR5eRBXDmwiG/A5urf+fUC1oezhrgiQghhOh3ErgK0QdivVyb/KHoe/MARVlzr4MnfxH9edMHifuCHjj2gf6f0y6KlQoYpMZVCCGGHclZCNEHLK1KBXqlh2tPFB4IU09sf9+3/4Tajf07n14QlnZYQggxbEngKkQfiAWq7uZSAYtpAPuoLvwbXFMKV66JvuZcFd2uReDDpQM3rx7SSwUk4yqEEMOOBK5C9IE2Gdf+fjCrNWcWuPKjrzlXtNS2DsGsqyorZwkhxLAlgasQfWDQBa7xbC6YdWn0Zy0CH/5lYOfTTbJylhBCDF+D6G9TIXYfsUC1OTk4cDWuHZlxYVzW9TnYsWFg59MNanPgKitnCSHE8DPI/jYVYvfQOlC1DqaMKzRnXX8d/VmLwPu3QfXa6Ktm/aBeaSssNa5CCDFsSTssIfpA60B1UJUKxMy4AFbfD/56KH45+ooZsQ+cuwKM5gGbXkciUuMqhBDD1iD821SIoc/aqovAoMu4QjTresCl7e+r+CpaQjAIqVLjKoQQw5ZkXIXoA60zrIMy4wow+0pQDFC7Kfo+HIDvX4j+/OGfYfopgy7rKg9nCSHE8CWBqxB9YMgErkYTHHh14jbvdtjwX6jfHM267nPmwMytA7JylhBCDF+D9G9TIYa2NoHrYOsqsDMHX9fy84d/hkio20OoqkZ5rZcfKxspr/XqX+/3Blk5Swghhq8e/W365JNP8uabb+rvr732WlJTUznggAPYvHlzt8baunUrZ5xxBhkZGdjtdqZOncoXX3yh79c0jZtuuom8vDzsdjuHHnooJSUlPZm2EP2mdaA6aDOu7Rk1A8YdEv25fnN0kYJuKK1u4qGVG7j7nfXc+14Jd7+znodWbqC0uqlXpicrZwkhxPDVo79Nb7/9dux2OwCrV6/mgQce4M477yQzM5Mrr7yyy+PU1dUxe/ZszGYzb731FmvWrGHp0qWkpaXpx9x5553ce++9PPzww3z66ac4HA7mz5+P3+/vydSF6Bdmo0J8XDWkAleAude3/NyNrGtpdRPLVpVRXNFAapKZsZlOUpPMFFc0sGxVWa8Er7JylhBCDF89qnEtLy+nqKgIgNdee42FCxdywQUXMHv2bObOndvlce644w4KCgpYtmyZvq2wsFD/WdM07rnnHm644QaOOeYYAP7xj3+Qk5PDa6+9ximnnNKT6QvR5xRFwWIyEAipAFiNxk7OGGQK9odxP4cN70H9FnjqOEhKb//Y3Kkw52pUFJYXV1HrCTI+20kgrFLvDWK3GBmf7aSk2s2KH6oYm+ncpcUDItGPVAJXIYQYhnqUBnI6nezYsQOAFStWcNhhhwFgs9nw+XxdHueNN95gv/3248QTTyQ7O5u9996bxx57TN+/adMmKisrOfTQQ/VtLpeLGTNmsHr16nbHDAQCNDY2JryEGAjx5QJDLuMKMDeu1rXsf7Dm9fZf/70VvlzG1nofG2rc5LlsKIrC1nofJdVuaj1BFEUhz2WjtNrN1vqu/zeiPS3tsHZpGCGEEENQj/7Tf9hhh3Heeedx3nnnsX79eo488kgAfvjhB8aMGdPlcTZu3MhDDz3E+PHjWb58ORdffDGXXXYZTz75JACVlZUA5OTkJJyXk5Oj72ttyZIluFwu/VVQUNCDOxRi11nNLVnWIRm4FuwPe53RtWP/dxdenwd/OEKSJfpFTpIlev++YHQVLrvFSCAcwRMM79K0Yg9nSVcBIYQYfnpUKvDAAw9www03UF5ezssvv0xGRgYAX375JaeeemqXx1FVlf3224/bb78dgL333pvi4mIefvhhFi1a1JOpcf3113PVVVfp7xsbGyV4FQPC2pwSNBuVofu19rEPwGG3RPu7tudfl0PpO9D4E1mlL2EzzcIbDJNsM2NvDty9oWjg6gtGsJqMOCy71oVPVs4SQojhq0d/g6SmpnL//fe32X7LLbd0a5y8vDz23HPPhG2TJk3i5ZejS0/m5uYCUFVVRV5enn5MVVUVe+21V7tjWq1WrFZrt+YhRF8wGRUafSGMBiiv9ZKfat+l2s4B48jseN+8/4sGrkDal/czftrBfFfpw2k1YW/OuPqDEVRVZVuDn6n5LvJT7bs0HVk5Swghhq8eBa4ffvjhTvcfdNBBXRpn9uzZrFu3LmHb+vXrGT16NBB9UCs3N5f33ntPD1QbGxv59NNPufjii7s/cSH6SWl1EyvXVbO+yo1BgVpPiHFZTuZPyaEoO3mgp9d78veBCUfA+rdRGn9ioeF9fnIcREm1mzyXFUUBfyjCmm1N5LpsHD45Z5eDd1k5Swghhq8eBa7tdQ5Q4urNIpFIl8a58sorOeCAA7j99ts56aST+Oyzz3j00Ud59NFH9TGvuOIKbr31VsaPH09hYSE33ngjI0aM4Nhjj+3J1IXoc7GWUFvrfNjMRlKTzHpLqIoGH4tnj9m9gteDfwvr3wYg+5sHWHzqySxfW8+GGjeeQJhQRGNURhKnzxjVK/ett8OSGlchhBh2ehS41tXVJbwPhUJ8/fXX3Hjjjdx2221dHudnP/sZr776Ktdffz1/+MMfKCws5J577uH000/Xj7n22mvxeDxccMEF1NfXM2fOHN5++21sNltPpi5En1JVTW8JNTLNTmVjALPRQLLNjNNq6rWWUINK/j4wYQGsfwsat1JU8gRj9zySqiaNjzbBGl86h07qvUyz/nDW7vL5CSGE6DJF07ReW4vxgw8+4KqrruLLL7/srSF3WWNjIy6Xi4aGBlJSUgZ6OmI3V17r5e531pOaZKbBF+KnOh9pDgt75ESDtiZ/iHpviCsPm0BBetIAz7YXVXwNj85td9d3OcezZfZt/GLaiF651APvlxIMqyyePYbUJEuvjCmEEGJgdTVe69UePTk5OW1qVoUYTjzBsN4SKtYOKimuLVZvtYQadEbsDXsc2e6uaVWvoFb+0GuXUiXjKoQQw1aPSgW+++67hPeaprFt2zb+9Kc/dfi0vxDDgcNiwmYy4g2GSXdYmD7ShS0ucO2tllCD0i/vh4//Ct7a6PvGrbDhvwBMWvcQkUMP3eUHqjRNa2mHJTWuQggx7PTob8+99toLRVFoXWUwc+ZM/v73v/fKxIQYivJT7YzLclJc0YDT6sQeF6BqmtZrLaEGJUcGHPaHlvchH9pfp6O4qxi/4z3qNn9NWuE+u3QJTYu+QLoKCCHEcNSjwHXTpk0J7w0GA1lZWfLAlBj2DAaF+VNyqGjwNbeEsmG3GPEFI2xr8JPusPRKS6ghwWxHmXMlvB1dOtb0vz9D4T93acjYg1kgK2cJIcRw1KPANdZnVQjRVlF2Motnj2F5cRUbatxUNfqxmoxMzXdx+OTdrI9rZ/Y9G//Kpdj8NSRv/A9Ufg+5U3s8nBr3LY9pOAT/QgghEnQ5cL333nu54IILsNls3HvvvTs99rLLLtvliQkxlBVlJzN2rpOt9T48wTAOi2norpy1K8x2qqf/ilGfNq+q98EdcPLTPR4utviAokRfQgghhpcut8MqLCzkiy++ICMjg8LCwo4HVBQ2btzYaxPcVdIOS4iBtblyOxmPz8AZ2h7dMPEXYDC2PVAxwB5HwbQTOxyr0R/i8f9twmRQ+PXPx/fRjIUQQvS3rsZrXc64xte1tq5xFUKIjqSluvh85CLmbVoa3fDjvzs++IdXIXM8jNir3d3SCksIIYa3Xu3jKoQQrSVbTazLP54qx6SunfDBHR3uij2cJR0FhBBieOpyxvWqq67q8qB33XVXjyYjhNj9KIpCakoKz05/kmPGKYzNdLQ9SIvA34+I9n5d95/oSlwj9m5zWCzjKg9mCSHE8NTlwPXrr79OeP/VV18RDofZY489AFi/fj1Go5F99923d2cohBjyUpPMrKts4rPaZMxpae0/qHbgVfDm1dGfV94Bpz3XZpzY4gPSCksIIYanLgeu77//vv7zXXfdRXJyMk8++SRpaWkA1NXVsXjxYg488MDen6UQYsgqrW7iw5LtfLW5jm/K6/hsYy3jspzMn9KqNdjeZ8L/7opmXde/1W7WNSKlAkIIMaz1qMZ16dKlLFmyRA9aAdLS0rj11ltZunRpr01OCDG0lVY3sWxVGVtrvdjMRpLtZlKTzBRXNLBsVRml1U0tB5us0axrzMo/tRlPVaP/Kw9nCSHE8NSjwLWxsZGampo222tqamhqamrnDCHEcKOqGsuLq6j1BJmYl4zVZCAYUnFaTYzPdlLrCbLihyq9bhWIZl1T8qM/r38bfvwPVK/VX0rNWjK8G0h3bwB/48DcmBBCiAHTo5WzjjvuOBYvXszSpUvZf//9Afj000/5zW9+w/HHH9+rExRCDE1b631sqIkue2szGzEaFCKqhi8UIcliIs9lo7TazdZ6HwXpSdGTYlnXWK3rc6cmjFkAnBV782kSnLMc8qb11y0JIYQYYD3KuD788MMsWLCA0047jdGjRzN69GhOO+00jjjiCB588MHenqMQYgjyBMP4w9EgFRTs5uiiA75QBAC7xUggHMETDCeeuPeZ4Cro/AIhL7x3Sy/PWgghxGDWo4xrUlISDz74IH/+85/ZsGEDAOPGjcPhaKfNjRBiWHJYTNhMRrzBMMk2M6PSk1AUSLI0B7DBCFaTEYel1X+GTFY47QX4chmEfAm76rwhfqrzUdTwMfZADZS+C+WfQ8HP+uu2hBBCDKAeBa4xDoeDadPkazohRFv5qXbGZTkprmjAaTWRYjfr+zRNY1uDn6n5LvJT7W1PztkTjvxzm80//dTAu2urCHveZu9vboxuXLkEznylr25DCCHEINLjwPWLL77ghRdeYMuWLQSDwYR9r7wif4kIMdwZDArzp+RQ0eCjpDpa62q3GPEFI2xr8JPusHD45Jx2OwSoqsbWeh+eYBiHxaT3fY31ca0Ycwx7lz0G9Vtgw3tQ/hkU7N/ft9ihjuYvhBBi1/QocH3uuec466yzmD9/PitWrODwww9n/fr1VFVVcdxxx/X2HIUQQ1RRdjKLZ49heXEVG2rcVDX6sZqMTM13cfjkVn1cm5VWN+nH+8MRbCaj3vdV7+NqssBBv4E3fh09aeUSOPPV/ry1Du1s/u3drxBCiK7rUeB6++23c/fdd3PJJZeQnJzMX//6VwoLC7nwwgvJy8vr7TkKIYawouxkxs51dikDGev7WusJkueykWSx4w2GKa5ooKLBx35jor2jDYoC00+FD//cnHX9L2z5FEbN6O/b69b8F88eI8GrEELsgh51FdiwYQNHHXUUABaLBY/Hg6IoXHnllTz66KO9OkEhxNBnMCgUpCcxMTeFgvSkDssDYn1fR6baCEVU/OEIyTaz3vf10421aJoWXTnLaI5mXWNeuwheOCv6evl82Ly6H+8wcf7js50oikK9L4jFaOi4b60QQohu6VHgmpaWpi80kJ+fT3FxMQD19fV4vd7em50QYtiI7/ta4w6yvsrN9qYAAIqikOey8VOdlyZ/uCXwnX4qpI6K/ly7Eda8Hn19/0K0B2w/LlIQP39FUdha56Wkyk2DP6TPP9a3VgghRM/0KHA96KCDeOeddwA48cQTufzyyzn//PM59dRTOeSQQ3p1gkKI4SG+72ssMFW1luyk3WIkGFYJRlSMSnPgajTDEXeAoZ2qJ18dfPZIf0wdaN23lmhWGPS63A771gohhOiyHtW43n///fj9fgB+97vfYTab+fjjj1m4cCHXXHNNr05QCDE8xPd9jQWm8d+q+4IRTEYDFqMBU3ypwcQj4bebwd8Qfd+0DR4/HLQIfHw/7H8B2Fz9Ov9kmxmTIZoXCEc0ff7t9q0VQgjRZT3KuKanpzNixIjoAAYD1113HS+88AIjRoxg77337tUJCiGGh1jf120NfmIJ1Vi2Mtb3NTfFRrLN1LZG1uoEV370NXI/mHZydLu/Hj7tn7r7+PnrdbjN9xCbf1G2s/2+tYOAqmqU13r5sbKR8lqv1OIKIQalbv3TPxAIcPPNN/POO+9gsVi49tprOfbYY1m2bBk33HADRqORK6+8sq/mKoTYjcX3fS3b7iEQjhCOqDT5Q3rf1wk5Tmo9IT0o7NBB18B3z0ezrqvvhxl9n3Vt3bfWaIiWOjT5Q5RUu3fat3agSQsvIcRQ0a2M60033cRDDz3EmDFjKCsr48QTT+SCCy7g7rvvZunSpWzatInf/va3fTVXIcRuLtb3dUJOMv6QSlVjgHpviKn5LhbPHkN2sg1oboe1MxnjWmVd+6fWNTb/KSNceAIR6rxBGv1hff6DMQiMtfAqrmggNcnM2EwnqUlmiisaWLaqjNLqpoGeohBC6LqVcX3xxRf5xz/+wS9/+UuKi4uZNm0a4XCYb7/9FqWzv0iEEKILirKTOX1mtFNAss3MifuN1Pu+/lgZDaI6zbhC26zr+MPBZG3nQAXSCzvY17P5j53rZFWpi7d/qKQgLYkLDho7KDOt7bXwgujn7rSaKKl2s+KHKsZmOgfl/IUQw0+3AteffvqJfffdF4ApU6ZgtVq58sorJWgVQvQqq8lIit1MhtNCQXqSvj1W82rqShCVMQ6mnwLfPBN9cOvRgzs+NnU0XPgB2NN2depAtGxgdIaDTKcVh9U4aIO+1i28fqrzUusJkptiIzvFltDCK/7PQQghBkq3SgUikQgWi0V/bzKZcDqdvT4pIcTwZjZG/9MUDKsJ22PtsTotFYg56Jr2W2W1Vr8ZPnmoW3PsjNUcvYdAq3sYTFq38ApFVLzBCIFIdM7SwksIMdh0K+OqaRpnn302Vmv0KzW/389FF12Ew+FIOO6VV17pvRkKIYYdkzEamIZbPdneHE91rVQAIH0snPY8rP0XqJF2DtDg2+dADUcD15kX91rW1Woa/IFrRy28YpltaeElhBhsuvVfo0WLFiW8P+OMM3p1MkIIAWDWe6AmBn0RNfre2J3viooOjb46ohjhqych0BgNXuf9X3en2y6ryQhEs8aqqg3KcoFYC6/iigacVlO7Lbym5rsGbQsvIcTw063AddmyZX01DyGE0JlN0QAqFIkGULE6+lgc2+VSga448OpoHWwvZ11jGVeIZl3tFuMuj9nbWrfwMhkUVE3D7Q8P+hZeQojhqUcLEAghRF+KfWUN0eA1JqJpbfbvsrTRsNfp0Z8DjbD6wV4Z1mBQsOjlAu2VKQwOCS28gmHqvEGaAqFB3cJLCDF8SeAqhBh0zMaWDF9YbSkXiK3m1JtxK5D4ENenD4O3tleGHQp1rhANXi+eO45z54xlRmEGP5+Yw0UHj5OgVQgx6EjFvRBi0FEUBbNRIRTRCIU1aG5mEntoqMsPZ3VV6ijY+wz48olo1vWZE8A1sv1j08bA3P8Ds63TYa0mA01AIDS4A1eIZohHpSc1t/BqZ1ldIYQYBCRwFUIMSiajgVAkQigu46oHrn3RO/rAq+Hrp6O1rlu/jL46ohjg0Js7HTL2gNZgLhWIF8sQt25DJoQQg4WUCgghBqXYIgPhdmpc+yQbmDoKDryma8d++ih4dnR62FDo5RovVpMbjAyN+Qohhh/JuAohBqVYEBWKtM24dmnlrJ6Ydz3MuBBCvvb3f3BHtHVWyAOr7+s062odAg9nxbPEZVwHawsvIcTwJhlXIcSgFOscEB+4tjyc1bWASlU1ymu9/FjZSHmtVz9/p5LSwZXf/uvg34KxueC2C1lXvVRgCNS4AljiGuRK1lUIMRhJxlUIMSi1Xj1L0zS9VKArNa6l1U0sL65iQ40bfziCzWRkXJaT+VNyev60vCsf9lkEnz8Wzbp+fC8cdkuHhw+VrgIxJqMBk0EhrGoEIyo28+DrPSuEGN4k4yqEGJRi2b/Yg0KqBs1xa6ddBUqrm1i2qoziigZSk8yMzXSSmmSmuKKBZavKKK1u6vnE5lzZknX97DHwbO/w0JYa16FRKgCJ5QJCCDHYSMZVCDEotc64RuK+5t/ZylmqqrG8uIpaT5Dx2U591a1kmxmn1URJtZsVP1QxNtPZsxpOVz7sezZ89mg067ryT/Czc9s91OFXAMOQybhCNHD1BiNDas5CiOFDAlchxKBkbs64hiOxjGtL4Lqzh7O21vvYUOMmz2XTg9YYRVHIc9korXaztd5HQXpSzyY358poz9dIMFo28Plj7R42Edg++ldUpP6qZ9cZAJJxFUIMZlIqIIQYlGKrZ8UeEoplXBUl+uqIJxjGH46QZGn/3+V2i5FAOIInGO755FJGwL6Lu3TojPLHUTzVPb9WP2tdoiGEEIOJZFyFEINSrKtArI9r/INZrTOp8RwWEzaTEW8wTLLN3Ga/LxjBajLi6CCw7bJDbwZ7KjRWtL9/+3oo/xSzGmCPjctg7r67dr1+IhlXIcRgJoGrEGJQ0ksFmlfOikS61gorP9XOuCwnxRUNOK2mhCBX0zS2NfiZmu8iP9W+axO0JMG8/+t4f1MV2l+noYT9TPrpBWi6EZJzdu2a/UBfPSsydB4oE0IMH1IqIIQYlPRSgXBixrWzxQcMBoX5U3JId1goqXbT5A8RVlWa/CFKqt2kOywcPjmn75vrJ+cQ2SdaTmBWA2ir/tonl+lRr9qdaFmmNjHj2tvXEUKInpCMqxBiUDK1yrjGAqXOWmEBFGUns3j2GL2Pa1WjH6vJyNR8F4dP3oU+rt1kmHMFoS/+jlkNwBd/h9mX92rWtS961bZXKtAnPXGFEKIHJHAVQgxKsYxr6xrXnbXCileUnczYuU621vvwBMM4LCbyU+39uoypISWX70acwF4/PYMS9sGqv8IRt/fK2LFetbWeIHkuG0kWO95gmOKKBioafCyePaZHQWXrwLWvriOEED0hgasQYlCK1bi27irQlYxrjMGg9LzlVS/5YczZTK54qTnr+jg0/tT+gQYTTD8Nxh/a6ZjxvWpHpdtp8kcwGiK90qs21lUgEFbb9MQNhFXCqtp7PXGFEKKbJHAVQgxKsVpWPeOqdu3hrMFGdebwXe5C9q14FsJ+WPN6xwev/Tdc/k203dZOxPeqbfJH2FDjJtlmYvII1y73qo3PuMZfRwO+39qAQYF9R6f1Xk9cIYToBnk4SwgxKLXpKqB27eGswcZqMvD5yLMJJY/q/OBIAD66p9PD4nvV+kLRp/+TLEZ9/670qtUD14iacJ1gWCWiaoQi0deuXkcIIXpCMq5CiEHJ3KoRvhrXx3UosZoM+MxprDvpA6ak+No/KNAEjx0SXUL2yydgzhU7zbrG96r1NQeN9ri+tLvSqzZ+AYL468QLRlTMRkPv9cQVQogukoyrEGJQMsUezlJjpQLR7UOtVEBvL6UCrvz2X9kTYf/zoydEAvDR3TsdM9ardluDH08gGlQmmaPXifWqLcp29qhXrTWuVCD+OsFwS1/XUFjd5esIIURPSOAqhBiU9FKBNg9nDdiUesRqbn7YKdTJSlQH/BrMjujPXz7R8YpctPSqTbWb2dboJxCOYDEZeqVXbSzQDkbUhJ64G7d7CYQjqJpGnTfYvz1xhRCi2RD7K0AIMVzE2mGFIhqaprU8nDUESwWgbUP/NhyZcVnXIPzvrp0eXpSdzLF755PltBGKaPxU56XeG2JqvmuXWlTFP5ylqpreE3dUehL+kEqdN0hdL1xHCCF6QgqThBCDksnQ8u/qUESLWzlraP17u2Ulqi4soXrAr+Gzx6K1rl89CVNPAJurw8MzvW6OyK7FarWy1/QpOGzWXe5VG/sHA0SzrjaDkaLsZA6bnIPdbCQYUZk20sWJ+xZIplUI0e8kcBVCDErxAVQoog7dUoGuZlyhJeu66p5o1vXv83d6+LjmFwAVM2Hxf2AXg0mT0YDJoBBWNQJhFVtz7WwgpJJiNwPRB8EkaBVCDIQh9leAEGK4UBQlYfUstZsrZw0Wtq7WuMYccBlYnN2/UPknUPxK989rR3vLvvqCLRnj2ANhQgjR3yTjKoQYtExGA6FIhJCq9mjlrMGgW6UCAI4MOONl+O55iIR2eui6Kjda0MvE7cujGz64A6YcDwbjTs/rjMVkwBuM6KuWAXhDErgKIQaeBK5CiEHLbDTgI5JQKjDUvqLuVqlAzKiZ0ddOhCIqb71fiqbB+CQ3xi2rYEcJFL8M007alSl3kHFtCVY9gQiapqEMsey3EGLok1IBIcSgFV8qMHRXzoplXLsRuHZBrSeIpkVXzDLOu75lxwd3gNrF7G4HLK0Wf9A0DV+wZf6qpuEN7to1hBCiJwY0cL355ptRFCXhNXHiRH2/3+/nkksuISMjA6fTycKFC6mqqhrAGQsh+lOsg0AooupdBYbcylnmliAwFnz3hh3uIADpDgsUHgij5zTvKIXvX9qlsVtnXANhVa8xjj2sJcu8CiEGwoBnXCdPnsy2bdv010cffaTvu/LKK/nXv/7Fiy++yAcffEBFRQXHH3/8AM5WCNGf4nu5qkO0VMAS1wYh2ItZ1x2eAAAZTkt0w9zrWnZ+eCdEeh5YtixCEM2qxrKrFpOBFHu0wswTkIyrEKL/DXiNq8lkIjc3t832hoYGHn/8cZ599lkOOeQQAJYtW8akSZP45JNPmDlz5/VfQoihL7Z6VmI7rKEVuBoMChaTgWBYJRCOYLfs2oNTMbWeaMY1w2GNbohlXTd/FM26Pn082FPbP3nE3jD7Cugge926LtfX/GBWksWI02qimoA8oCWEGBADHriWlJQwYsQIbDYbs2bNYsmSJYwaNYovv/ySUCjEoYceqh87ceJERo0axerVqzsMXAOBAIFAQH/f2NjY5/cghOgbpliNqzp0V86CaCAYDVx7MeMaXyoQM/c6ePIX0Z83fdDxyWteB0c27H16u7strQPX5rKAJIuRJEv0rw23BK5CiAEwoKUCM2bM4IknnuDtt9/moYceYtOmTRx44IE0NTVRWVmJxWIhNTU14ZycnBwqKys7HHPJkiW4XC79VVBQ0Md3IYToKwkZV21oPpwFYI1r4t8bgmGVBl+0VZZeKgDRrOvUE7s2yId/7rCcoHWNa6xUwGY24rA217hK4CqEGAADmnFdsGCB/vO0adOYMWMGo0eP5oUXXsBut/dozOuvv56rrrpKf9/Y2CjBqxBDVEuN69AtFYD4r957py60zhvNtsZnQHUL/wbzl0RX3mrPaxfBpg+hblO0V2w7WdfWXQViiw8kWUw4rZJxFUIMnAEvFYiXmprKhAkTKC0t5bDDDiMYDFJfX5+Qda2qqmq3JjbGarVitVr7YbZCiL4W6yowlFfOgs57uaqqxtZ6H55gGIfFRH6qvcOH0FRVY01FI9vdAUalJ6GqWttjnVkdT2bu/0UDV4hmXaedDMbEvwraZFzjalwdzYHr7tAOqzufuxBicBhUgavb7WbDhg2ceeaZ7LvvvpjNZt577z0WLlwIwLp169iyZQuzZs0a4JkKIfpDfKlAODKUM64dr55VWt3E8uIqNtS48Ycj2ExGxmU5mT8lh6Ls5HaP/Xjjdqoa/Gyq8RCOaO0e26HRs2DsXNi4sjnr+hzsfUbCIXrgGknMuNrMRj3jOtRLBbrzuQshBo8BrXG95ppr+OCDDygrK+Pjjz/muOOOw2g0cuqpp+JyuTj33HO56qqreP/99/nyyy9ZvHgxs2bNko4CQgwTCe2wYn1cB7yJX/fFerm2rnEtrW5i2aoyiisaSE0yMzbTSWqSmeKKBpatKqO0uqndY80GhTSHhcxkS7vHdmpu3IIFH/65zdKyHZcKGEmyxGpcI3qLsqGmO5+7EGJwGdCM608//cSpp57Kjh07yMrKYs6cOXzyySdkZUW/5rr77rsxGAwsXLiQQCDA/PnzefDBBwdyykKIfmRqDqDCqkpz8g+jYehFru2VCqiqxvLiKmo9QcZnO/XlU5NtZpxWEyXVblb8UMXYTCdAwrHflNdjUBQyHFaSbYnHdumr7lEzYew82Pg+1JXBpw9DUUsHlyRPgAzvNpJCJnA7EksFLCYUJbp6li8U0UsHhorufO5SNiDE4DOg/8V57rnndrrfZrPxwAMP8MADD/TTjIQQg0nCw1lDdOUsaL9UYGu9jw01bvJcNuq8QcrrfKTazYzOcKAoCnkuG6XVbrbW+wD0Y1WtJQBOshjbHFuQntS1Sc29Lhq4Aqy4IfpqlgGcFXvzGeROuYPtrkOwW4wYDApJFiOeQARPIDzkAtf4z11p9bvU489SCNFvhl7qQggxbLTUuMavnDWQM+qZ9jKunmAYfzhCksVEIKziC0b0mlIAu8VIIBzBEwwnHOtvzn6ajYqekY4/tstGzYRxh3Tp0Bkld2NQQ9ib23o5hnBngfjPsj09+iyFEP1maP1TWQgxrMQC13BEIzyE22HZ2qlxdVhM2ExGvMGw/uCZOa6A1xeMYDVFv5oH9GMdVhNT8l2E44Lc1sd22bEPw+r7wFefsFkFftjaSJ77ezK9G0kJVDK5+l/YzdcC6KtnDcXOAvGfe7LN3GZ/jz9LIUS/kP9nCiEGrdhiA6GIqmdcd5dSgfxUO+OynBRXNNBcEYG5+X41TWNbg5+p+S7yU6M9rWPHjs926k/2d3RslyXnwOG3ttlsAFa+V0JGQzGnfXc2ADN+WoZJuwqw6EHdUMy4xn/uTqspoVxglz5LIUS/GIJfugkhhov2Vs4aihlXs1Gh0ReivNZLea1X7706f0oO6Q4L5XU+AuEIBkWhyR+ipNpNusPC4ZNzMBiUhGNLqt00+UOEVbXdY3uLxWSgKnkyjSPnAZAcqIRvngEgaQivnjUQn6UQovdI4CqEGLRiD2eFVW3IrpxVWt3EM59sYfXGHaxcX8Pd76znoZUbKK1uoig7mcWzx5DrsuEPqVQ2+qn3hpia72Lx7DEJ/URjx04Z4aLeG6Jsu6fDY3tDrJdr6Z6Xtmz831IIB4f86ln9/VkKIXqPlAoIIQat2MNHobiHmoZSJizWL3R7UwCb2YjZqOCyR/uFVjT49CBpRmE6I1x25k3MpjDT0eEKTkXZyYyd6+yX1Z5igWt50iRS0+Ywtu4jaCiHb57GMfokINrLdajqz89SCNF7JHAVQgxa8RnXmKFS4xrfL3RCjpN6X7TJf5LFyPhsZ0K/UF9IJcVuZmq+izSHZafjGgxKv7RpitXlNvhCfFJwXjRwBfjvbeTn/5ejar3RGuTNjo4HScqEef8Hjsw+n29P9NdnKYToPRK4CiEGLXM7y2QNlVKB+H6hBoMBo0Ehoka7I5iMBr1f6JZaj75Clb15VarBIJZxbfCGCCdPpjZ/Hulb3wfvdmwl/2JC7MCaTgbyVMPJT/flVIUQw4jUuAohBi1TO0HqUAlcW/cLjWWPY71aY/1Cd3iCABgURe/3OhhY9FXLotnuyv2vB5ur+wOt/RdUft+bUxNCDGOScRVCDFqKomA2KoQiQ69UoHW/ULPRgD+kEmoOXGP9QmP3E1sFa7BoHUQr2ZPgmhLwbAfgmU834w1GOG7vfDKd1rYDfP8CvHtz9OeVf4JTnunjGQshhoPB8897IYRoR3y5gKIMnYezYv1CtzX40TRN/+o9GFb1fqFF2U5S7NEm+LY+KBNQVY3yWi8/Vjbqbbi6ytIqcE2yGMFkBVc+uPJRU0ZQoabzTUMS5ZE01OQR+j5c+TDjYnDmRk/+8d+w7bvevDUhxDAlGVchxKAW7SwQfXp9qGRboaVfaEWDj5JqNxFVQ9U0GnwhmvxhvV9obBnYJHPvBq6l1U0sL65iQ40bfziCzWRkXJaT+VNyutTuqXXgGl9/W1rdxCcbd7Ch2sP6qiZyUmxtxzbb4MCr4K3oalt8cIdkXYUQu0wyrkKIQS1WGwpDJ9saE98vNBCOUOcNUu8NJvQLjS2bmtSLGddYG67iigZSk8yMzXSSmhRtw7VsVRml1U2djmExts64mhLGrqz3YzMbyU62djz2Posk6yqE6FWScRVCDGrxpQLtPaw12MX6hU4uSeGdNVWMznBw3pxCPQj3NQeuvVUqEN+Ga3y2U6+bTbaZcVpNCW24dvYPgTYZV7MxYezRGUlsrfcT0bSOx26ddf3vrXDYLV27EXsaJOf26DMQQuy+JHAVQgxq8cHqUOko0JrBoDAuy8nXznqsJkNCwOgLNWdce6lUIL4NV+uHvRRF0dtwba337bSHaXzgajVH23mV13r1sWOZ4lgrrw7H3mcR/O8ucFdCyfLoq6t+eR/sc1bXjxdC7PakVEAIMajFZ1wNQ6jGtTVH8zKpnmDiMqne5vexr+J3Ves2XK3F2nC1nkdr8V0FYkF1/Nj25m2N/jDhVi2+EsY22+DAq3t2M+/eDEFPz84VQuyWJOMqhBjU4gPXoZpxBXBYo4FeIKQSDKt6RjNWKmC39E4eoXUbrtZibbgcnQTK8RnX2INZ8WOn2E04rEY8gQjbGvwUpCd1PPbPzgM1BNVru3YT276Fyu/AuwM+/xvMvrxr5wkhdnsSuAohBjWTceiXCkD0YSeLyUAwrOINhrGYoku7xkoF7L2UcY214SquaMBpNSWUC8TacE3Nd5Gfat/pOFZjS+lCbG6JYzsZmZbEusomKhv95KZYOx7bYIBZl3T9JmrWwwP7Axqs+ivsdy5YnV0/Xwix25JSASHEoGbeTQJXRVH0zgHuQMtX6XpXgV6qcY214Up3WCipdtPkDxFWVZr8IUqq3Xobrs46NJgMCo2+ENvdAbyBMKqqtRnbZAC72YAnEGJV6XYUBaaNdO1S/1gAsibA1BOiP8eyrqJTu/y5CzEESMZVCDGoJZQKDOEaV4jWudZ7Q3gC0WA1HFH1h5vsvdgOK9aGK9bHtarRj9VkZGq+i8Mnd97HtbS6ibeKK1m9cQfhiMrmHR52uIN6n9b4sd2BMFvr/SgKOO1mnvi4jEc+2IjVHM0wd7d/rO6ga+H7lwANPr43Wm4gWdcO7WrfXiGGCglchRCDmskQ93DWEM64AjibH9CKZVy9zWUCRoPSZonVXRVrw7W13ocnGMZhMZGfau/0M4z1aa31BEmyGDEaTHqf1ooGn95/duxcJ6s2bOefn22hwRfGYTFiNRoor/VS7wuRlmRmn1Fp2MzGNud2SSzr+v2LzVnXx2DOlb3wyex+4v/M8lw2kix2vMFwzz53IQY5CVyFEINaYqnAAE6kF8Q6C8Q6CfhjD2aZjW1aV/UGg0HZacur1lr3gG3yhwhFNFx2CxnN5QGxPq0A35U3oGkwc2w66yqbKK12oymQ5bTQ6A+zZlsjs8ZmMD7b2eX+sQnis64f3Q0VX3ftPFsqHPzb6NKzu7nWf2aN/jD1viD/3969x0dVnnvD/60158xkJiQhCQlBDkEQiHhWxGqrbMDXVivYun2pB+puNwpV0Kp197X7effeirZVq6jQdrupj4f66N7iqSqeAAsiIogSQOQomJAMEJKZyZxn3c8fk7UyE3LOHNZMft/PZz4ka61ZueeeA1euXOu6XTbTwOedSMcYuBKRriV3FcjtyNXR3lmgTc24ah0FUrvc60B17gFrlGVEYjGYDPJJfVoBaMcWWo0wyBLawjGYDBJO+COIKgKHmwMYNzyEkcMK+tw/Nkli1jXYCux8re8P5sQB4MY3BjALuaXzc7bvqA/hqIIpVS44LMaBzTuRjuX2/wJElPeSugrkQY0rAPjaa1z9CRlXPejcA7ZqmA2lDguc1vj3iX1ak4+VUOGywSBLsLbXttpMBhhkCYoQJ923X773a8A+vP8P5sBHwMEN/b9fjun8nKkXMKoXZg143ol0ihlXItK15IxrFgeSAmp/UzXjqq2apZOMa+cesKUOC0odFm1/5z6ticcW2UwotpthNRlgMcoIRWOwmgwospm7vG+fFY8B7tgF+Nx9O373W8Bbv4x/ve5BYHR+Z107P2fqL3ex9l8YBjzvRDqV4/8NEFG+y5eVs4DEjGt74KqzUgG1T+uR1iCESG6lpPaArSlzoKrIdtKxhVYjhhWY4QtGoCgKfMEoiu1mFFqNJ9233wymeL1qX25nzweKx8bvp5OsazrbVHV+HtQyVkURg593Ih3ir2BEpGtGOT/6uAIdq2eFo4q2EAGgn1IBtU9rQ2sAe9zxukmb2YBAOL46VucesJ2PHV1agOa2EA6dCKDIZsLokgL4QtEu75s2BmP8oq5XF8S/X7sUuOnN9P7MHqS7TVXn5ywcU6AIAU8wguNt4czNO1GGMONKRLqWL0u+AoDFaNCWUvWHowmlAvrJIah9WqdUutDij+DgsTa0+COorXKd1Fap87GeQATVxQU4tbwQ1cUFaA1Eur1vWtX+CCgeF//64N+Bg+sz83M7UdtU1TW0oqjAhLGlDq212MoNB7HX7U3Jz0l8HgKRGE74w2gNZGHeiTJAP5+WRERdyJeVs1R2swHhqAJfKKq7UgFVf3rAdnXsCKcVRzzBfvWPTSmDEbjkbmDVP8e/X/MAcMXDfbuv1QU4Kwc9hM5tqtR2Z4VWExwWY8rbVKnPQ7HDjLr6VlwwthhX1FYy00p5h4ErEemaMY9WzgLida4n2lfP0ls7rET96QHb1bFZb7005Rpg3W+B5n3ANxuApy7o+31n3g9cuGhQP75zm6pEnVuLpWquZDl+3sbWIIrtFgatlJdYKkBEumY25M/KWUDyBVpaqYBOalzzisEYX4RgINYuBfzNg/rxndtUdZauNlXq+yUcU1J6XiK9YMaViHTNmG+lAu2BqycQQTgaDy70mHHNC6f/GAh7gYZtfTvevQuo/wwI+4CNTwCX/WbAP7pzm6rO0tWmSv0LRSTKwJXyEwNXItI1oyxBkgAh8iNwVVfPOuoLAYg/JouRf/xKC0kCzv2nvh/f+i3w2BmAEgE2/RGYtggoKB7Qj1bbVNU1tMJhMSaVC6htqmqrXClvU6XWhEdiqWu5RaQn/LQkIl0TIr7C1DFfCMe8oZT2wMwGNeN6rD1wtZkMJ9VAUpa4RgJn3RD/Ws26DpDapqrYbsYetw/eYARRRYE3GMEety9tbarULhwRlgrkvd76A6ezf3A2MeNKRLql9sD8eO8xBCMxNLQEsKfJl7IemNmg/mk4FGGZgC595w7g82eBWDiedb1gIWAvGdCp1DZVah/XJk8QFqMBtVUuzJycntew2m6NNa75rbf+wOnuH5xNDFyJSJfUHpjNbWHYzQbYzAa4bPEemA2tgZztT6lmXFV6We6V2qlZ183/2ZF1nfGvAz5df1qLpYKacY2yVCBvJX42jnBZUWC2wR+Oap+Nl04sw4dfubvdn6ufnSoGrkSkO517YG6PxFtHOSxGjCo2p7wHZiapq2ep9LJqFiW4aAmw9X93ZF2b9/XtfpZC4KI7gJJxSZv701pssDpqXJlxzUe99Qf+usmLv3x8EHazEaNLbGgLK2gLReG0pad/cDYwcCUi3encA1Nu/3CWZSltPTAzRV09ix0FdCwx6xppA3a+1vf7Nu0AfrYmfmFYFrDGNb/11h+40GrEjgYPpo0tQWswiv1H21BUYILTZsr5z04VL84iIt3p3AOzssiGUocZzva2QunqgZkp9oRgVU/LvVKCi+8CnCP7f7+Gz4GvV6d+PH1kYh/XvNZbf2CDLCESUyDLUkdP34TWaLn+2Qkw40pEOtS5B2ax3Yxiu1nbn64emJmirp4FsFRAtworgNu/AHxNfTv+4Hpg1c/jX69dCpw6KytZV61UICoghGDHijzTW3/gmCJgMshQFNHlhXq5/tkJMHAlIh3KVg/MTCkwG+ILEMQUtAYiUBSRs/Vmec1gBFxVfTv29B/HL+Rq/BI4sg34+h1gwuVpHV5X1IyrIgRiikhawGOoUxSRsYvkBqq3Mfb22egNRjG61A5PMIpSR/yX/Wgs/ksMgJz/7AQYuBKRDqk9MBtaA9jjjtdz2cwGBMIxHGkNpq0HZibsdXuxZvdR1NW3IhpTcNwXwheHW/KiTc2QJknAd+8FXrwu/v3apcCpszOedTUlLJEcVQSMTOgD6L19lB70ZYy9fTaWOCz4UXtXgQPH/QjHYjDKMprbwjjeFs7pz04Va1yJSJfUHphTKl1o8Udw8FgbWvwR1Fa5cradi9rG5tsTflhNBgyzm1HisKCuoRUrNxzEXrc320OkwZhwOTBiavzrI18Au9/O+BAMsgRje1DCOtc49X1X19CKogITxpY6UFRg0tX7rj9j7O2z8bLTyrX90ZjACX8Yx9pCOf3ZmYgZVyLSrUz3wEynxDY2Y0vt2He0DQBQVGBCiT23W3xROzXr+td/jH+/dilQPGZg53KUD3i5WaNBRlSJIRJl4Npb+yg9vO8GMsbePhvV/ZIU70Rw+ZQKXDiuNC8+Wxi4EpGuZbIHZjoltrFpLzeDJKE9O5YfbWoI8fKAEVPjGdfGL4GnLhjYeSQDMO8loGZGv+9qMkgIRoAIFyFIet8d9YXQ2BrEMLsZ1cMKdNMeKrnFFbD/qA9mo4yRvYyxt89GdX8oqsBhNeVF0AqwVICIKCMS29jYzAbIkrpqVvw/k3xoU0Noz7r+y+DPI2LA6l8DSv+zpurV5Ozlmvy+i0QV+MPJmWg9vO8SxxgIx+D2hvDtiQB8oeigx+hoX6nPH8qfzxVmXImIMqBzG5up1UUwJGRA8qFNDbWbMBu46ing0MaB3f+bj+OrdR39Ctj5KjBlTr/uzl6uHRLfd0p7AlrW2fsucYyJvj3hx8QK56DGqC4p7WPgSkRE/dG5jY0l4XLvfGjxRZ2cOS9+G4h9a4Bnfxj/et1DwKSrALnv7QHUwDXKUoGk953a49bQXkOql/dd4hhLEvpVt/gj8AbDONIaGvAY7e0Z13z6Sw5LBYiIMkBtY1PcfiGWNxhBVFHgDUawx+3LizY1A6UoAoeb/fiq0YPDzX4oyhAPuMZ+F6hur409+hWOffpSv+ZGW4SAGdek9139iQBC0Vh7v9PMve96e30njvHAsTaEojEoQiAUjWHzwRMwG2XUlMUvxOrve0MtFfCFYil7PNnGjCsRUYaobWzUXo1NniAsRgNqq1yYOVk//SQzKRf6a2acJAHf/ZWWdY1+uBTLRo2DxWTu09ywVCCZ+r5b9sEe7G7yodETgiRJGXnf9fX1rY7xvzYcwNZvWhBTBNpCUURjAs2+EF7dVo936hr7/d7QMq4sFSAiooHIpxZfg6X2rmxuC2OEy4oCsw3+cBR1Da1oaA3kRc/JgdrrOBvGglqM9m9HRfgbzJY24fOCS/s0N2rgynZYHWrKCnHpaeUotltwxqginDVqWNrfd/19fdeUFeLyKSNgMRjgsBrxyf7jaG4LQ5YljC11DOi9oWZcA+EYYopIqqvPVQxciYgyLF9afA1GLvTXzBZFEVi9w41o0Q243X8XAOB73zyGCYVrAAh4j0SBehPEcEeXC3OdFnXi62E/RSQ2sD6w+UoRAk6bCTVljrS//xJf36OG2eCPxLQLM3t6fYejCgqtRjR5QnDZTJABBCMKApHe79sVq0mGQZbiGdxwFE6rKa2POxMYuBIRUcYl965M/s9XL/01s0Wdm6KKC1HvnYoq7xdwhI/i1OMfdBzUBuBY1/cfCeCSshYcHfNIJoabM9S+tonL4qZL4uu7JRDBweN+lNjNKLSaenx9ByMKvMEomjwBjB3ugNsbwtH29lgTK3q+b1ckSUKB2QBvMIq2UH4Errw4i4iIMi6xd2VX9NBfM1u0ubGYsG7MEoTl/l9NPsn9FoytB1M/uBymdlkwZiCDn/j6Vv88HxMdF1Z19/oORGIIxxREFYGC9jIik0FqDzhFj/ftjiPP6lyZcSUioozr3Ne2Mz3018yWxLlpKpyMFee9C1u0VdvvC0XhCUTws++MRWXnFkmb/xNY/whkxDB653Lg/PMyPHr9irYv5pCJjGvic6gFrgkdAbp7fQcjMZgNMgrMRu29cdaoYUl/lejve8OeZ50FmHElIqKMU3tXHmkNQojkFj9qf82aMseQ7GvbeW5iBit8lnL4LOXwmsvwdcCJ4VVjUVE9DnBVJd8uWoyY2Rk/z6HXgOb9WX40+qGWChgN6c+4Jj6HspQcuPb0+g5GYii0GjG21K49/4lB60DeG/mWcWXgSkREGce+tt0b1NxYXTgx9efx84gY8NHvMzx6/Yq2twczyukPfRKfw0PNfoSiMYSjvT+HoagCSZIwc3Lq3hsdGVcGrkRERAOm9q6cUulCiz+Cg8fa0OKPoLbKNaRbYQGDmxvfGf+EoKF9/xcvAsf3ZWjU+hZV1IuzMvPLkPocTqp0IhhRcMwX6vE5jMYUhNtbmE2qdKXsvWG3xFdd67ykbK4aesVDRESkG+xr272Bzo2xwIUtVfMw/dAKQMSANfcDF981sEG4qgGLY2D31REhRMfFWRmocVXVlBViwcXj4A/FEFEU/PPFY1FVVNDlcxhqD1olCbAY5ZS9N9Ra2HypcWXgSkREWcW+tt0byNyYDTK2jbgWZze8AGvUA9T9T/w2EFYX8E8fAqU1A7u/Tigi3scVyExXgURWswFOW/wCxDKntdvAMxCJB5YWo0Gra03FeyPfVs9iqQAREVEeMRlkhI0OfFH9k8GfLNgaz9jmuEjC8reZ6CqQyChL2gVa4R5WMwu2B642U2rHl7h6VjQPlgFmxpWIiCiPqFfNb6q8AeeNKYV04sDATvTV34BAM7BjFXDJ3UDZaSkcZWap9a2yJCHTVSiSJMFslBGMxHoJXOP7rCZDSn9+8upZMbhsuZ2zZOBKRESUR9SMYgwGxKYvGXhN5/AJwLv/HwABrPst8KOVqRtkhmkdBQzSSSu1ZYIWuPaQ8VQzrqkOXCVJgt1ihCcQgT8chcuW26tn5XbYTUREREnMCYGq2rt0QM75KWAfHv96xyrAvWuQI8uejuVes3PRn9kYf056yriGomrgmvrQzNHeWSAf6lx1E7g++OCDkCQJixcv1rYFg0EsXLgQJSUlcDgcmDt3LpqamrI3SCIiIp2TZUm7ACmiDKKm0WwHpt/e/o0A1j00+MFlibpqViZ6uHbFYug9cFVLBSwpzrgC0JZWzofOAroIXDdv3ow//vGPOP3005O2L1myBG+88QZefvllrFu3Dg0NDZgzZ06WRklERJQbTO0ZvkgPgVKfnHNzQtb1VaBp5+DOlyXRDK6a1RVLexY11MPzEQi3Z1yNqQ9c82n1rKzXuPp8PsybNw9//vOf8R//8R/a9tbWVjz99NN44YUXcOmllwIAVq5cidNOOw2ffPIJLrjggmwNmYiISNdMBhkBxAZXKgAA5gJg+mLg3V8DEMDLNwFlEwc/QKMVOO/nwMhzBn+uPohkcNWsrqjlGz0FrsH2UgGbOfWBaz6tnpX1wHXhwoW44oorMGPGjKTAdcuWLYhEIpgxY4a2beLEiRg1ahQ2btzYbeAaCoUQCoW07z0eT/oGT0REpENqLWckFe2PzvkpsOEPQNtR4Nju+C0V9n0I3P5FvCQhzdSuAtnKuPalxrWjq0Dqg2s7a1xT48UXX8TWrVuxdOnSk/Y1NjbCbDajqKgoaXt5eTkaGxu7PefSpUvhcrm0W3V1daqHTUREpGtqZ4GermLvM3MBMPN+QEpxJrDtKPDZf6X2nN1QA/isX5zVl64C6SwVCOd+jWvWMq6HDx/G7bffjvfeew9WqzVl57333ntxxx13aN97PB4Gr0RENKSogWtKMq4AMPVaYMLlQMg7+HO1Hgb+azYAAaz/Qzyjm+asq1bjmuVSgb4sQJDqdlhAfq2elbXAdcuWLXC73TjrrLO0bbFYDB999BGeeOIJrF69GuFwGC0tLUlZ16amJlRUVHR7XovFAovFks6hExER6ZqaWYwOtsY1kdUZvw2WqwqYMie+DK3/GLD5aWD6bYM/bw/UrgJZz7j22A4rfaUCNqMBnkAEx3whHDzmw6hie7dLzwKAogjUtwTQFo7CbjaiqsjW4/GZlLXA9bLLLsP27duTts2fPx8TJ07EPffcg+rqaphMJnzwwQeYO3cuAGD37t04dOgQpk2blo0hExER5QRzKksF0uHiu4G6VwAIYMNjwLk3pzXrGsl2xlUrFej6T/XRmKIFtanOuO51e/FOXSM+2X8ckZiC1kAEp1U4MWtKOWrKCrs8fnVdE/Yd9SEYjcFqNGDccEe3x2da1gLXwsJCTJkyJWmb3W5HSUmJtv3mm2/GHXfcgeLiYjidTvziF7/AtGnT2FGAiIioB1qpwGDbYaVL2cROWdf/TOgZm3pZb4fVS8Y12L5dkjqOTYW9bi9WbjiI5rYwnFYjFAB2swF1Da1oaA1g/vTRScFo4vEjXFYUmG3wh6PdHp8NWe8q0JNHH30Usixj7ty5CIVCmDVrFp566qlsD4uIiEjXjFpXgRSWCqRa56zruEsBeQBhibUIcI7o8ZCOUoEsLUDQfsFVt4FrQn1rqpakVRSB1XVNaG4LY3yZAztjCrzBKMxGGePLHNjj9uHdHU0YW+qALEsnHa+Oo9BqgsNiPOn4bNFV4Lp27dqk761WK5588kk8+eST2RkQERFRDjKn+uKsdEjKuh4HVlw08HP9P78HzvtZt7s7Ls7Kbo1rd31cOzoKpC6wrm8JYN9RH0a4rJAkKaHThIAkSRjhsmKv24f6lgCqiwuSjveFoth31IdCqwnjhju6PD5bdLFyFhEREaWOqQ/tl3Th4rsBKQWhyIf/DgRbu92tLfmapYxrbwsQdPRwTV19a1s4imA0pi332nGBWMdCB6FoDG3h6EnHByMKghElKUPc+fhs0VXGlYiIiAZPza6ltKtAOpRNBK57Efjqb4AYQJDdVAc0fB4PWjf9Ebjk7i4PU0smst1VIBJTIIQ4qRwgHa2w7GYjrEYD/OEoCq0mrXZWDZ4D4RgsRgPs7YFt4vGh9uA2sd628/HZwsCViIgoz6R05ax0O3VW/DYQzfuBZecAIgZsfAI4/58Bq+ukw7SMa5a7CggRz4JbOi0yoAaKqWyFVVVkw7jhDtQ1tMJhMXYErpF48HykNYjaKheqimwnHa9WVFi0cZ98fLawVICIiCjP6L4dVqoUjwWmXhf/Ws26diHbGVejLEFuz7J2dYFWIJz6UgFZljBrSjmK7WbscfsQiQkoQsATCGOP24diuxkzJ5drF1olHn/ohB+haAxGgwxvMNLl8dnCwJWIiCjPGHPh4qxUufjOjuVoNz4BBFpOOqSjHVZ2wh5JknpchCBdq2bVlBVi/vTRmFLpQiAcwwl/GN5QDJMqnV22tlKPL7VbEIwoaPIE0eKPoLbKpYtWWABLBYiIiPKOViqg1z6uqVQ8FjjjOuDz5zqyrt+9J+mQjlKB7GULzUYZwUisyyx4MJq+5V5rygox9rsO1Lf48fT6g5AAXHfeKJQ6ul5ldGypA1NHFmF0SQTfnzoCZYVWrpxFRERE6dPRDkvnF2elynd+CWz7a7zW9eNlgHtH8u5jbYjEBErdNqA/weGYS+KreqVAT4sQdHQVSE9GWJYlVBfbMa7MgWPeELzBaLeBqy8chQAwzG7GWaOGpayvbKowcCUiIsoz2spZyhDIuAJA8ZiOrGvYC+x8LWn3GPWL4/08787XgKJTgPEzBj3Ennq5dvRxTX3GNZHTasQxbwieQKTbY9R9hVaj7oJWgDWuREREeUft4xqJCggxRLKul/wKKOx5Ba0BWbs03g5gkHrOuKavVCCR02YCAHiCPQWu8T6tTqsprWMZKGZciYiI8oxa46oIgZgitCVg81pRNbC4DvA1JW0WEHh6/QEIAfy/54/qYx9SAbxwbbxPbP1nwN73gfH/MKjh9bQIgRq42tIduLYHo2pw2hU1qFWDXL1h4EpERJRnTAn9SiMxgTT/BVo/DEbAVZW0KRZT4DX747uLRva9xvWSe4CXro9/vXYpUDMDGMSfzrvrKhCNKVotsiVNNa4qly0e9vWccW0PXK36DBFZKkBERJRnZFnSrqDP+16uvYgqHX/mN/WnHdbE7wPlU+Jf12+JZ10HwdzNMrzB9kBWkpJXqkqHjoxr94Fra0DfGVcGrkRERHnIZBxCvVx7oD5+WZJg6E9LJ1mOZ11Vax4YVK2rtihEp4xrYn1rui+GUoNRfzjW7evCE4wmHas3+swDExER0aCYDDICiGnN94eqmKIuPjCAoHDi94HyWqBpO9CwFdj2AlB11oDG4fR6UOJvhrnZDribte1RTxDWSATWguEDOm9/WIwyzEYZ4agCTyCCkk4tsRRFwKcGrjotFdDnqIiIiGhQzOoiBEM+4zqI5V5lOb6Ywf/5Sfz7124d8DhOa78BABKqDioA/DMM+OjcJ5HQuCstJEmC02aKt8QKRk8KXL2hKBQhYJAlOCz6DBFZKkBERJSH1HpO1riqq2YNMOSZcAVQcXoKR3QyGTGc9dXvgAz03VUzqV3Vueq9hyvAjCsREVFe0hYhGOqB62AyrkA863rts/GlZEPeAY/DF4rhwLE2WE0yxpc5tO3BfX+H1XMQTu8+YOerwJQ5A/4ZfdFTL1etFZZOe7gCDFyJiIjyklrTGYkO7RpXNXA39qejQGfDRgOzlw5qHG2eIN7fdAiFViPGf2estn3PR6+h9sMb4t+sewiYdBUgp69/mcvWfS9XbfEBnV6YBbBUgIiIKC+Zh9qyr91Q22EZ+9NRIA26WoBAUQR2WM7AwYLa+IajX8WzrmmktcTqIePqYuBKREREmaSVCnSxUtNQomZc+9XDNQ3MCe3JhBDY6/Zi+dp9eOXzejwlrtGOC3+wFFBiaRuH09Z7jat6jB4xcCUiIspDHX1ch3apgFrjmu1lb9XAVQhg1xEPVm44iLqGVlhMBhxwnov9tvhiB+YTe9C48a9pG4eace2ql6vWw5U1rkRERJRJJrbDApDYVSC7gatRliBLEmKKgnfqGtHcFsb4Mge217dClmWsr/onjN27GADgWPe/IL59dzArzMZJhvjFXqf9QNtkNRlgMckIRZJ7uSb1cNVxqQADVyIiojxkZjssAB0Z5wG3w0oRSZJgMcloag3D7Q1ihMsKSZK0jPAh13moL5yKKu8XcISPArteS80P3vkasPBToLRG2+S0mnA0ktzLNbGHq92cvovDBoulAkRERHnIyHZYAPRTKgDEf5kIxxQEIjEUmI2IKYr2i4XFbMC6MUsQlm2p/aEiBnz0u6RNWkushDpXrb5Vxz1cAWZciYiI8pJaKjDUl3xVuypk++IsIF7najbIMMoy/OGoFiCaDBKMsoymwsn4/dS3EPEew8++MxaVRYMIYqNB4D8vAwIngO0vARffpWVdtUUIEjoLaD1cdVwmADBwJSIiyktGWYInEME3zW043OxHVZENcpbrPLNBy7jq4LGbjTIKrUZUFdlwpDUIV/vV+wXm+L9CCBz2CtRWjUVF9ThgsGO+8BfAB/8GCCWedZ3zRwCAw2qEJxDBriNejC6xY4TTin1uH475QhjhskJRhG5fKwxciYiI8sxetxcvf/YtNu4/DqMs4Ztjfowb7sCsKeWoKSvM9vAyKpqKBQhSxGKUIUkSzhtTjPV7j+HrRi8iigKz0QJvMIIjrUEU282YObk8NYHjeT8HPl6WkHX9JfYqFXjryyPx14ZBwqcHjiMUUdAaDMMfiuFwsx/HfWHdvlay/ywSERFRyux1e7Fyw0HsPeqD1WTAMLsJRQUm1DW0xre7B75saS6KKINc8jWF1AvmypxWzJ8+GmVOC4IRBSfawmjxR1Bb5cL86aNTFzBaCuNZVwAQCjzvPoCVGw7i4PE2WE0GGGUJh5v9+NrthdsTgtVkQIndrOvXCjOuREREeUJRBFbXNaG5LYxxw+2oq/cAQkKh1QSHxYg9bh/e3dGEsaUO3f4pONW0jGuWuwoAHb1cw1EFNWWFOKO6CGWFVnxvYhnGlNrTU85x3s+Bj58AAs1wfP0qhldeiLGlldjh9eCoN4higwGTCo2oPxGEpU3GeLkEdocB3xz3Y/OnDRg763uQTebUjmkQGLgSERHlifqWAPYd9WGEy6oFajERzzhKkoQRLiv2un2obwmgurggm0PNmKieMq7GjhZloWgMvlAMTpsJ540phtWUphZUatb1g/8fMhQsbvgl0NDpmED7vyEAOxO2HwYaareg8pQa6EX2f/0gIiKilGgLRxGMxlstqZk7RREA4sGbzWxAKBpDWziaxVFmVkc7rOyHPBZjPDgNRxU0t4UBAHaLIX1Bq+q8nyFqLRnQXf2R9C0/OxDMuBIREeUJu9kIq9EAfzgKh8WIiRWFSX96DoRjsBgNsJuHzn//elk5C0guFTjuiweuJXZL+n+wpRDHfvg89q5egQI5BpNBRjgaQ5MnCFmWYJAkKEJAEUC50wqTQUYkpiAcVVBd4Ej/+Pph6LxyiYiI8lxVkQ3jhjtQ19CK8WUOFBV01CYKIXCkNYjaKheqBtMfNMeoK2fpoo9r+xhC0ZiWcS12ZKZ+tOzUC/A/DcO11wYAbD54Ake9QQwrMOGEP4IypxXnnDIMALDH7UNtlQvnVVRmZHx9lf1nkYiIiFJCliXMmlKOYrsZe9w+eIMRRBUF3mAEe9y+1LZayhEd7bCy/5iTMq5tIQBAaSYyrjj5teELRTG6tAAGWcKhEwEYZAmjSwrgC0V1/VphxpWIiCiP1JQVYv700Vhd14R9R31o8gRhMRpQW+XCzMn67M2ZTtrFWTroKmBJuDjLF4rXGWcq4wqc/NoIRWOoLi5AWVSBxSijNRBBMKLo+rXCwJWIiCjP1JQVYux3HahvCaAtHIXdbBySK2cJIRDRYcbVF4oiFImPq8Se2VZTXb02RjitOOIJ5sRrhYErERFRHpJlaci0vOpOTBFo7wamj8BVrXFtD1odFmP6Owp0oavXRq68VrKfNyciIiJKA7VMANDXAgSq4gxnW/NB9p9FIiIiojRQywRkSYJBB3/6tnQOXDNY35ovGLgSERFRXupYfCD7QSsAGOTkADpTHQXyCWtciYiIKC9F2hcf0MNyrwAgBOAPR+ENRmE2yCiym7I9pJzDwJWIiIjykpZx1UF96163F6vrmrBh7zEEwjEYDTJcBSZ8//QRumw7pVcMXImIiCgvRbVVs7Kbcd3r9mLlhoNobgtrnQQkALsbvTjqDWH+9NEMXvso+7+CEBEREaWBWipgzOJyr4oisLquCc1tYYwvc8BuMUKWJBQVmDG+zIHmtjDe3dEEJaEDAnWPgSsRERHlpZiilgpkL+Na3xLAvqM+jHBZIUmSNhab2QBJkjDCZcVetw/1LYGsjTGXMHAlIiKivKS2wzJlMePaFo4iGI2hwByvzrSZ4wsOOK0d34eiMbSFo1kbYy5hjSsRERHlJT20w7KbjbAaDfCHoyi0mlA9rAClDgsK2gPYQDgGi9EAu5khWV8w40pERER5KarWuGaxq0BVkQ3jhjtwpDUIIQQkSWrPvkoQQuBIaxA1ZQ5UFdmyNsZcwsCViIiI8lJEB10FZFnCrCnlKLabscftgzcYQVRR4A1GsMftQ7HdjJmTyyHrYGWvXMDAlYiIiPJSR6lAdsOdmrJCzJ8+GlMqXWjxR3DwWBta/BHUVrnYCqufWFBBREREeUlbOUsH2cyaskKM/a4D9S0BtIWjsJuNqCqyMdPaTwxciYiIKC/pJeOqkmUJ1cUF2R5GTtPHM0lERESUYtH2dlgGZjXzBgNXIiIiyksRJfsXZ1FqMXAlIiKivKRmXLPZDotSi88kERER5aWoDtphUWoxcCUiIqK8pHYV0MvFWTR4fCaJiIgoL2ldBXhxVt5g4EpERER5KdJe42pixjVv8JkkIiKivBRV1D6uzLjmCwauRERElJdiajssdhXIG3wmiYiIKO8IIbRSAWZc8wcDVyIiIso7MUVAxBOuDFzzCANXIiIiyjvhqAJPIIJjvhAaW4NQ2ssGKLdlNXBdvnw5Tj/9dDidTjidTkybNg1vv/22tj8YDGLhwoUoKSmBw+HA3Llz0dTUlMURExERkd7tdXuxYt0+bNx/HJ8eaMZj7+/B8rX7sNftzfbQaJCyGriOHDkSDz74ILZs2YLPPvsMl156Ka666irs2LEDALBkyRK88cYbePnll7Fu3To0NDRgzpw52RwyERER6dhetxcrNxzEjiMeWE0GlDjMKCowoa6hFSs3HGTwmuMkIYSucufFxcX43e9+h2uuuQbDhw/HCy+8gGuuuQYA8NVXX+G0007Dxo0bccEFF/TpfB6PBy6XC62trXA6nekcOhEREWWRoggsX7sPdQ2tqCyyoq7eA7NBxlmnDIMQAnvcPtRWubDgknGQuSiBrvQ1XtNNjWssFsOLL76ItrY2TJs2DVu2bEEkEsGMGTO0YyZOnIhRo0Zh48aN3Z4nFArB4/Ek3YiIiCj/1bcEsO+oDyNcVu3CLLUTliRJGOGyYq/bh/qWQPYGSYOS9cB1+/btcDgcsFgsWLBgAVatWoVJkyahsbERZrMZRUVFSceXl5ejsbGx2/MtXboULpdLu1VXV6f5ERAREZEetIWjCEZjKDAbIcsSnFYj7Bajtt9mNiAUjaEtHM3iKGkwsh64TpgwAdu2bcOmTZtwyy234MYbb8TOnTsHfL57770Xra2t2u3w4cMpHC0RERHpld1shNVogD8chd1sxKRKF8aXFWr7A+EYLEYD7GZjD2chPcv6M2c2m1FTUwMAOPvss7F582Y89thjuPbaaxEOh9HS0pKUdW1qakJFRUW357NYLLBYLOkeNhEREelMVZEN44Y7UNfQCofFCEnqqGMVQuBIaxC1VS5UFdmyOEoajKxnXDtTFAWhUAhnn302TCYTPvjgA23f7t27cejQIUybNi2LIyQiIiI9kmUJs6aUo9huxh63D95gBFFFgTcYwR63D8V2M2ZOLueFWTksqxnXe++9F5dffjlGjRoFr9eLF154AWvXrsXq1avhcrlw880344477kBxcTGcTid+8YtfYNq0aX3uKEBERERDS01ZIeZPH43VdU3Yd9SHJk8QFqMBtVUuzJxcjpqE0gHKPVkNXN1uN2644QYcOXIELpcLp59+OlavXo1/+Id/AAA8+uijkGUZc+fORSgUwqxZs/DUU09lc8hERESkczVlhRj7XQfqWwJoa693rSqyMdOaB3TXxzXV2MeViIiISN9yro8rEREREVFPGLgSERERUU5g4EpEREREOYGBKxERERHlBAauRERERJQTGLgSERERUU5g4EpEREREOYGBKxERERHlBAauRERERJQTGLgSERERUU5g4EpEREREOYGBKxERERHlBAauRERERJQTjNkeQLoJIQAAHo8nyyMhIiIioq6ocZoat3Un7wNXr9cLAKiurs7ySIiIiIioJ16vFy6Xq9v9kugttM1xiqKgoaEBhYWFkCQp28PJGo/Hg+rqahw+fBhOpzPbw9E1zlXfca76jnPVd5yrvuNc9Q/nq+8yPVdCCHi9XlRWVkKWu69kzfuMqyzLGDlyZLaHoRtOp5Nv1j7iXPUd56rvOFd9x7nqO85V/3C++i6Tc9VTplXFi7OIiIiIKCcwcCUiIiKinMDAdYiwWCz413/9V1gslmwPRfc4V33Hueo7zlXfca76jnPVP5yvvtPrXOX9xVlERERElB+YcSUiIiKinMDAlYiIiIhyAgNXIiIiIsoJDFyJiIiIKCcwcM0z9fX1+MlPfoKSkhLYbDbU1tbis88+0/YLIfCb3/wGI0aMgM1mw4wZM7Bnz54sjjg7YrEY7rvvPowZMwY2mw3jxo3Dv//7vyetkTxU5+qjjz7CD37wA1RWVkKSJLz66qtJ+/syL83NzZg3bx6cTieKiopw8803w+fzZfBRZEZPcxWJRHDPPfegtrYWdrsdlZWVuOGGG9DQ0JB0jqEyV0Dvr61ECxYsgCRJ+MMf/pC0fajMV1/mateuXbjyyivhcrlgt9tx7rnn4tChQ9r+YDCIhQsXoqSkBA6HA3PnzkVTU1MGH0Vm9DZXPp8PixYtwsiRI2Gz2TBp0iSsWLEi6ZihMldLly7Fueeei8LCQpSVleGHP/whdu/enXRMX+bi0KFDuOKKK1BQUICysjLcddddiEajGXkMDFzzyIkTJzB9+nSYTCa8/fbb2LlzJx5++GEMGzZMO+a3v/0tHn/8caxYsQKbNm2C3W7HrFmzEAwGszjyzHvooYewfPlyPPHEE9i1axceeugh/Pa3v8WyZcu0Y4bqXLW1tWHq1Kl48sknu9zfl3mZN28eduzYgffeew9vvvkmPvroI/z85z/P1EPImJ7myu/3Y+vWrbjvvvuwdetWvPLKK9i9ezeuvPLKpOOGylwBvb+2VKtWrcInn3yCysrKk/YNlfnqba727duHiy66CBMnTsTatWvx5Zdf4r777oPVatWOWbJkCd544w28/PLLWLduHRoaGjBnzpxMPYSM6W2u7rjjDrzzzjt47rnnsGvXLixevBiLFi3C66+/rh0zVOZq3bp1WLhwIT755BO89957iEQimDlzJtra2rRjepuLWCyGK664AuFwGB9//DGeeeYZ/OUvf8FvfvObzDwIQXnjnnvuERdddFG3+xVFERUVFeJ3v/udtq2lpUVYLBbx17/+NRND1I0rrrhC/PSnP03aNmfOHDFv3jwhBOdKBUCsWrVK+74v87Jz504BQGzevFk75u233xaSJIn6+vqMjT3TOs9VVz799FMBQHzzzTdCiKE7V0J0P1/ffvutqKqqEnV1deKUU04Rjz76qLZvqM5XV3N17bXXip/85Cfd3qelpUWYTCbx8ssva9t27dolAIiNGzema6hZ19VcTZ48Wfzbv/1b0razzjpL/PrXvxZCDN25EkIIt9stAIh169YJIfo2F2+99ZaQZVk0NjZqxyxfvlw4nU4RCoXSPmZmXPPI66+/jnPOOQc/+tGPUFZWhjPPPBN//vOftf0HDhxAY2MjZsyYoW1zuVw4//zzsXHjxmwMOWsuvPBCfPDBB/j6668BAF988QXWr1+Pyy+/HADnqjt9mZeNGzeiqKgI55xzjnbMjBkzIMsyNm3alPEx60lrayskSUJRUREAzlVniqLg+uuvx1133YXJkyeftJ/zFacoCv72t7/h1FNPxaxZs1BWVobzzz8/6U/kW7ZsQSQSSXqvTpw4EaNGjRpyn2EXXnghXn/9ddTX10MIgTVr1uDrr7/GzJkzAQztuWptbQUAFBcXA+jbXGzcuBG1tbUoLy/Xjpk1axY8Hg927NiR9jEzcM0j+/fvx/LlyzF+/HisXr0at9xyC2677TY888wzAIDGxkYASHqxqd+r+4aKX/3qV/jHf/xHTJw4ESaTCWeeeSYWL16MefPmAeBcdacv89LY2IiysrKk/UajEcXFxUN67oLBIO655x5cd911cDqdADhXnT300EMwGo247bbbutzP+Ypzu93w+Xx48MEHMXv2bLz77ru4+uqrMWfOHKxbtw5AfK7MZrP2S5JqKH6GLVu2DJMmTcLIkSNhNpsxe/ZsPPnkk7j44osBDN25UhQFixcvxvTp0zFlyhQAfZuLxsbGLv8PUPelmzHtP4EyRlEUnHPOOXjggQcAAGeeeSbq6uqwYsUK3HjjjVkenb689NJLeP755/HCCy9g8uTJ2LZtGxYvXozKykrOFaVcJBLBj3/8YwghsHz58mwPR5e2bNmCxx57DFu3boUkSdkejq4pigIAuOqqq7BkyRIAwBlnnIGPP/4YK1aswCWXXJLN4enOsmXL8Mknn+D111/HKaecgo8++ggLFy5EZWVlUmZxqFm4cCHq6uqwfv36bA+lX5hxzSMjRozApEmTkraddtpp2lWmFRUVAHDS1YFNTU3avqHirrvu0rKutbW1uP7667FkyRIsXboUAOeqO32Zl4qKCrjd7qT90WgUzc3NQ3Lu1KD1m2++wXvvvadlWwHOVaK///3vcLvdGDVqFIxGI4xGI7755hvceeedGD16NADOl6q0tBRGo7HXz/twOIyWlpakY4baZ1ggEMC//Mu/4JFHHsEPfvADnH766Vi0aBGuvfZa/P73vwcwNOdq0aJFePPNN7FmzRqMHDlS296XuaioqOjy/wB1X7oxcM0j06dPP6mtxddff41TTjkFADBmzBhUVFTggw8+0PZ7PB5s2rQJ06ZNy+hYs83v90OWk1/+BoNBy2RwrrrWl3mZNm0aWlpasGXLFu2YDz/8EIqi4Pzzz8/4mLNJDVr37NmD999/HyUlJUn7OVcdrr/+enz55ZfYtm2bdqusrMRdd92F1atXA+B8qcxmM84999weP+/PPvtsmEympPfq7t27cejQoSH1GRaJRBCJRHr8vB9KcyWEwKJFi7Bq1Sp8+OGHGDNmTNL+vszFtGnTsH379qRfItVfyjv/MpWuB0F54tNPPxVGo1Hcf//9Ys+ePeL5558XBQUF4rnnntOOefDBB0VRUZF47bXXxJdffimuuuoqMWbMGBEIBLI48sy78cYbRVVVlXjzzTfFgQMHxCuvvCJKS0vF3XffrR0zVOfK6/WKzz//XHz++ecCgHjkkUfE559/rl0J35d5mT17tjjzzDPFpk2bxPr168X48ePFddddl62HlDY9zVU4HBZXXnmlGDlypNi2bZs4cuSIdku88naozJUQvb+2OuvcVUCIoTNfvc3VK6+8Ikwmk/jTn/4k9uzZI5YtWyYMBoP4+9//rp1jwYIFYtSoUeLDDz8Un332mZg2bZqYNm1ath5S2vQ2V5dccomYPHmyWLNmjdi/f79YuXKlsFqt4qmnntLOMVTm6pZbbhEul0usXbs26TPJ7/drx/Q2F9FoVEyZMkXMnDlTbNu2Tbzzzjti+PDh4t57783IY2DgmmfeeOMNMWXKFGGxWMTEiRPFn/70p6T9iqKI++67T5SXlwuLxSIuu+wysXv37iyNNns8Ho+4/fbbxahRo4TVahVjx44Vv/71r5MCiqE6V2vWrBEATrrdeOONQoi+zcvx48fFddddJxwOh3A6nWL+/PnC6/Vm4dGkV09zdeDAgS73ARBr1qzRzjFU5kqI3l9bnXUVuA6V+erLXD399NOipqZGWK1WMXXqVPHqq68mnSMQCIhbb71VDBs2TBQUFIirr75aHDlyJMOPJP16m6sjR46Im266SVRWVgqr1SomTJggHn74YaEoinaOoTJX3X0mrVy5UjumL3Nx8OBBcfnllwubzSZKS0vFnXfeKSKRSEYeg9T+QIiIiIiIdI01rkRERESUExi4EhEREVFOYOBKRERERDmBgSsRERER5QQGrkRERESUExi4EhEREVFOYOBKRERERDmBgSsRERER5QQGrkRERESUExi4EhFlwE033QRJkk667d27N9tDIyLKGcZsD4CIaKiYPXs2Vq5cmbRt+PDhSd+Hw2GYzeZMDouIKGcw40pElCEWiwUVFRVJt8suuwyLFi3C4sWLUVpailmzZgEAHnnkEdTW1sJut6O6uhq33norfD6fdq6//OUvKCoqwptvvokJEyagoKAA11xzDfx+P5555hmMHj0aw4YNw2233YZYLKbdLxQK4Ze//CWqqqpgt9tx/vnnY+3atZmeCiKiAWHGlYgoy5555hnccsst2LBhg7ZNlmU8/vjjGDNmDPbv349bb70Vd999N5566intGL/fj8cffxwvvvgivF4v5syZg6uvvhpFRUV46623sH//fsydOxfTp0/HtddeCwBYtGgRdu7ciRdffBGVlZVYtWoVZs+eje3bt2P8+PEZf+xERP0hCSFEtgdBRJTvbrrpJjz33HOwWq3atssvvxxHjx6Fx+PB1q1be7z/f//3f2PBggU4duwYgHjGdf78+di7dy/GjRsHAFiwYAGeffZZNDU1weFwAIiXJ4wePRorVqzAoUOHMHbsWBw6dAiVlZXauWfMmIHzzjsPDzzwQKofNhFRSjHjSkSUId/73vewfPly7Xu73Y7rrrsOZ5999knHvv/++1i6dCm++uoreDweRKNRBINB+P1+FBQUAAAKCgq0oBUAysvLMXr0aC1oVbe53W4AwPbt2xGLxXDqqacm/axQKISSkpKUPlYionRg4EpElCF2ux01NTVdbk908OBBfP/738ctt9yC+++/H8XFxVi/fj1uvvlmhMNhLXA1mUxJ95MkqcttiqIAAHw+HwwGA7Zs2QKDwZB0XGKwS0SkVwxciYh0ZsuWLVAUBQ8//DBkOX4N7UsvvTTo85555pmIxWJwu934zne+M+jzERFlGrsKEBHpTE1NDSKRCJYtW4b9+/fj2WefxYoVKwZ93lNPPRXz5s3DDTfcgFdeeQUHDhzAp59+iqVLl+Jvf/tbCkZORJReDFyJiHRm6tSpeOSRR/DQQw9hypQpeP7557F06dKUnHvlypW44YYbcOedd2LChAn44Q9/iM2bN2PUqFEpOT8RUTqxqwARERER5QRmXImIiIgoJzBwJSIiIqKcwMCViIiIiHICA1ciIiIiygkMXImIiIgoJzBwJSIiIqKcwMCViIiIiHICA1ciIiIiygkMXImIiIgoJzBwJSIiIqKcwMCViIiIiHLC/wVueHisJn5zpAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "smoothed_df = process_radius(df)\n",
    "plot_radius(df, smoothed_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PROBLEM: here the problem is that if we deal with videos in which I have the zoom, the size of the ball does not follow a curve, so we need to use another approach.\n",
    "\n",
    "SOLUTION: use filters and interpolations as I have already used in the Post-processing of the centers (less accurate)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
