{
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   "cell_type": "markdown",
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   "source": [
    "# Theta Lines transformer\n",
    "Computes Theta lines to be used in ThetaForecaster.\n",
    "\n",
    "The Theta lines are obtained by modifying the distances between the points of the original time series. We apply  coefficient θ (theta) to the second differences of the original observations, thus changing the local curvatures . Theta coefficient is a transformation parameter which creates series of the same mean and slope with that of the original data but different variances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
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     "metadata": {},
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from aeon.datasets import load_airline\n",
    "from aeon.transformations.series.theta import ThetaLinesTransformer\n",
    "\n",
    "y = load_airline()\n",
    "transformer = ThetaLinesTransformer()\n",
    "transformer.fit(y)\n",
    "y_thetas = transformer.transform(y)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "y_thetas.plot(ax=ax, figsize=(12, 7))\n",
    "plt.legend([\"theta=0\", \"theta=2\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Special cases: theta = 0 and theta = 1\n",
    "\n",
    "Theta values **1 > theta > 0** *reduce* original time series curvatures. The smaller the value of Theta coefficient results in the larger deflation of time series.\n",
    "\n",
    "Theta-line with **theta=0** gives a linear regression line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "(0.0, 900.0)"
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     "metadata": {},
     "execution_count": 16
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "t = ThetaLinesTransformer([0, 0.25, 0.75, 1])\n",
    "t.fit(y)\n",
    "y_t = t.transform(y)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "y_t.plot(ax=ax, figsize=(12, 7))\n",
    "plt.legend(\n",
    "    [\"theta=0, linear regression\", \"theta=0.25\", \"theta=0.75\", \"theta=1, original ts\"]\n",
    ")\n",
    "plt.ylim(0, 900)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Theta-line with **theta=1** returns original time series.\n",
    "\n",
    "Theta values > 1 will *increase* local curvatures, and the larger theta coefficients will result in larger dilation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1b80996baf0>"
      ]
     },
     "metadata": {},
     "execution_count": 17
    },
    {
     "output_type": "display_data",
     "data": {
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aGgBoampi3759lJeXs337ds4++2wADMOgrq5u0Osfe+wxbr31VuLxOF1dXSxevJgLL7yQDRs29GalJ0MoFCIYDHL66acDcNVVV/H+97+/9/FLL710wDXBYJBIJMIpp5wCwAc/+EEefPDBQe9//vnn43Q6cTqd1NTU0NbWRkNDA7fffju//e1vATh48CC7d+8eMjA+2tKlS/n3f/93brjhBi644ALe9ra3jek1CyGEEKL4ZWMxLHO9AHjWrKHrpz+l58UX8a5de0yevzgC42Eyu8eSs8+7FavVSiaTQWvN4sWLeeaZZ4a9NpFIcO2117JlyxZmzZrFzTffTCK303IqMsbD8Xq9A46NtqwDBv972LRpE4888gjPPPMMHo+HM844o/f1jcaJJ57I1q1b+eMf/8hNN93EOeec05tdF0IIIcRbQzYWx5KLUzyrV4FSxDc/d8wCY6kxHkJJSQmRSGTE8+bPn09HR0dvYJxOp9mxY8eAe+SDxKqqKqLRKBs3buy9x4YNG9i2bduAP6MJiq+88ko2H1WYXlZWRkVFBU8++SQAP//5z3uzx0OpqKigpKSEf/zjHwDcd999Iz53X6FQiIqKCjweD6+88krvfYZjt9tJp9MAtLS04PF4+NCHPsS///u/8/zzz4/p+YUQQghR/PKb7wCspaVmnfEx3IBXHBnjaVBZWcn69etZsmQJ73znOzn//PMHPc/hcLBx40Y+9alPEQqFyGQyfPrTn2bx4sV8+MMf5uMf/zhut5tnnnmGq6++mqVLlzJ37lzWrFkzpvXMnTuXcDhMKpXid7/7HQ8//DCLFi3ipZdeGrR045577uHjH/848XicefPm8dOf/nTE5/jJT37C1Vdfjdfr5YwzzqCsrGzU6zvvvPP44Q9/yLJly5g/fz4nnXTSiNdcc801LFu2jJUrV3LllVeyYcMGLBYLdrud//7v/x71cwshhBCi+GnDQPf09AbGYJZTdN933zGrM1Zj+Qh9qqxevVpv2bKl37Fdu3axcOHCaVpRcQiHw3z0ox/lN7/5zaTcLxqN4vP5AHNzXGtrK9/97ncn5d5vJvK7KYQQQkw+IxLhtTVrqfnc56j8548AEPnb32i+9pPM+fnP8IwxqTgUpdRWrfXqwR6TUooiVlpaOmlBMcBDDz1EU1MTS5Ys4cknn+SLX/zipN1bCCGEEGI42VgMoH/GeJVZZxw7Rm3bpJRC9Lr00ksH7VghhBBCCDHVBguMrWVlOBcsIL75Obh26tcgGWMhhBBCCDHtegNjX//uWZ4VTSS2bz8ma5DAWAghhBBCTLt8YGw9qq2spayMbCw2ptay4yWBsRBCCCGEmHZGNAr0L6UAsLg9oDV6DPMRxksCYyGEEEIIMe0GqzEGsHg85uM9PVO+BgmMhxEMBvnBD34AwKZNm7jgggvGdP3dd99NS0vLhNfx17/+lVWrVrF06VJWrVrF3/72twnfUwghhBCikAwZGLvd5uNxCYynVd/AeDwmKzCuqqriD3/4Ay+//DL33HMPV1xxxYTvKYQQQghRSLKxODBYxtgMjHVPfMrXIO3ahnHjjTeyZ88empqasNvteL1eLrnkErZv386qVav4xS9+gVKKrVu38tnPfpZoNEpVVRV33303Tz31FFu2bOHyyy/vnXz3zW9+kz/84Q/09PRwyimn8D//8z8opUZcx4oVK3q/X7x4MYlEgmQyifMYTIARQgghhDgWsrEYWCwol6vfcdWbMZbAGID/2vxfvNL1yqTec4F/ATesvWHYc2655Ra2b9/Otm3b2LRpExdddBE7duygvr6e9evX89RTT7Fu3Tquv/56HnjgAaqrq/nVr37FF77wBe666y7uuOMObrvtNlavNoerXHfddXz5y18G4IorruDBBx/kwgsv5Jvf/Cb33nvvgOc/7bTTuP322/sdu//++1mxYoUExUIIIYR4U8nGYli83gFJw2NZYzyqwFgp9RngY4AGXgY+AniAXwFzgX3AB7TW3bnzbwI+ChjAp7TWf5nshU+HtWvX0tDQAEBTUxP79u2jvLyc7du3c/bZZwNgGAZ1dXWDXv/YY49x6623Eo/H6erqYvHixVx44YVs2LCBDRs2jPj8O3bs4IYbbuDhhx+evBclhBBCCFEA8oHx0SzuXGB8DGqMRwyMlVIzgU8Bi7TWPUqpXwOXAYuAR7XWtyilbgRuBG5QSi3KPb4YqAceUUqdqLU2xrvIkTK7x0rfLK3VaiWTyaC1ZvHixTzzzDPDXptIJLj22mvZsmULs2bN4uabbyaRazsymoxxc3Mz73nPe/jZz37GcccdN4mvSgghhBBi+mVjsQHDPeBIjXH2GNQYj3bznQ1wK6VsmJniFuAi4J7c4/cAF+e+vwi4T2ud1FrvBV4H1k7aio+hkpISIpHIsOfMnz+fjo6O3sA4nU6zY8eOAdfng+Cqqiqi0SgbN27svceGDRvYtm3bgD/5oDgYDHL++efzjW98g/Xr10/66xRCCCGEmG5DZ4yPXY3xiIGx1voQcBtwAGgFQlrrh4FarXVr7pxWoCZ3yUzgYJ9bNOeO9aOUukYptUUptaWjo2Nir2KKVFZWsn79epYsWTJkqYPD4WDjxo3ccMMNLF++nKamJp5++mkAPvzhD/Pxj3+cpqYmnE4nV199NUuXLuXiiy9mzZo1o17HHXfcweuvv85Xv/pVmpqaaGpqor29fVJeoxBCCCFEIcjGYgOm3sGRzXf6GNQYq5HG6ymlKoD7gUuBIPAbYCNwh9a6vM953VrrCqXU94FntNa/yB3/CfBHrfX9Qz3H6tWr9ZYtW/od27VrFwsXLhzPaxJiSsnvphBCCDH53rjwQhxz59Lwve/1O55NpXh12XKqP/1pqj7+LxN+HqXUVq316sEeG00pxTuAvVrrDq11Gvg/4BSgTSlVl3uCOiCfwmwGZvW5vgGz9EIIIYQQQohBGbEYFs8gGWO7HazWgpl8dwA4SSnlUWb/jLOAXcDvgaty51wFPJD7/vfAZUopp1KqETgB2Dy5yxZCCCGEEG8m2Vh80BpjpRQWt/uYbL4bsSuF1vpZpdRG4HkgA7wA3An4gF8rpT6KGTy/P3f+jlznip258z85kY4UQgghhBDizU1rPeTmOzA34BXE5jsArfV/aK0XaK2XaK2vyHWcCGitz9Jan5D72tXn/K9prY/TWs/XWv9p6pYvhBBCCCGKnU6lIJMh6VT8y1//hcOxw/0et3g86GPQx3i07dqEEEIIIYSYEtlYDIA2Ijzd8jQPvP5Av8eVx1MwNcZCCCGEEEJMmXxg3OMwf/7bwb/1e9ysMZbAeFoFg0F+8IMfALBp0yYuuOCCMV1/991309Iy8YYcf/3rX1m1ahVLly5l1apV/O1vfxv0vJtvvpmZM2f29jr+4x//OOHnFkIIIYSYavnAOObIArAzsJPWaGvv4wVVY/xW1TcwHo/JCoyrqqr4wx/+wMsvv8w999zDFVdcMeS5n/nMZ3on573rXe+a8HMLIYQQQky1fGAcsWV6j/XNGls8HnQBjYR+S7rxxhvZs2cPTU1NbNiwgWg0yiWXXMKCBQu4/PLLyQ9H2bp1K6effjqrVq3i3HPPpbW1lY0bN7JlyxYuv/xympqa6Onp4Stf+Qpr1qxhyZIlXHPNNYw0XCVvxYoV1NfXA7B48WISiQTJZHLKXrcQQgghxLHUNzB2WBwcV3Ycjx54tPdxi8dN9hhsvhuxXVshOPz1r5Pc9cqk3tO5cAEzPv/5Yc+55ZZb2L59O9u2bWPTpk1cdNFF7Nixg/r6etavX89TTz3FunXruP7663nggQeorq7mV7/6FV/4whe46667uOOOO7jttttYvdocrnLdddfx5S9/GYArrriCBx98kAsvvJBvfvOb3HvvvQOe/7TTTuP222/vd+z+++9nxYoVOJ3OQdd8xx138LOf/YzVq1fzrW99i4qKivH89QghhBBCHDPZaBSAkC1FiSrh7bPfzk+2/4RgIki5qxx1jGqMiyIwLhRr166loaEBgKamJvbt20d5eTnbt2/n7LPPBsAwDOrq6ga9/rHHHuPWW28lHo/T1dXF4sWLufDCC9mwYQMbNmwY8fl37NjBDTfcwMMPPzzo45/4xCf40pe+hFKKL33pS/zbv/0bd9111zhfrRBCCCHEsWHkMsZBa5JSWylnzTmLH738IzY1b+Li4y/G4vYckxrjogiMR8rsHit9s7RWq5VMJoPWmsWLF/PMM88Me20ikeDaa69ly5YtzJo1i5tvvplEIgEwqoxxc3Mz73nPe/jZz37GcccdN+hz1NbW9n5/9dVXj3mzoBBCCCHEdMiXUnRbeiixl7DIv4gZ3hk8euBRMzD2eNCJBDqbRVmmrhJYaoyHUVJSQiQSGfac+fPn09HR0RsYp9NpduzYMeD6fBBcVVVFNBpl48aNvffYsGFD74a5vn/yQXEwGOT888/nG9/4BuvXrx9yLa2tR3Zv/va3v2XJkiXjeNVCCCGEEMdWPjDuJE6JowSlFG+f9XaeaXmGeDqOxeMGQE9xOYUExsOorKxk/fr1LFmyZMhSB4fDwcaNG7nhhhtYvnw5TU1NPP300wB8+MMf5uMf/zhNTU04nU6uvvpqli5dysUXX8yaNWtGvY477riD119/na9+9au9rdja29sB+NjHPsaWLVsA+NznPsfSpUtZtmwZjz32GN/+9rcn+DcghBBCCDH1srE4yukknI1S6igF4KzZZ5E0kjzd8jTKbQbGU11nrEbbGWEqrV69WueDu7xdu3axcOHCaVqREEOT300hhBBicrX+x81EHnmEqz9l5ew5Z/PFk75IJpvhzF+fyakzT+WGznW03nQTxz38FxyzZ0/ouZRSW7XWqwd7TDLGQgghhBBiWmVjMSxeD+FkmBJHCQA2i43TG07n8ebH0W5zJN5UZ4wlMBZCCCGEKGI9L75Iz8svT/cyJiQbi4HHQ0ZnekspwCyniKQi7E4cNM+b4s4UBR0YF0KZhxB9ye+kEEKIQpJNJDj4yeto/69bp3spE5KNxdBus/tXPmMMcHL9ybhtbraGzMYGb9nNdy6Xi0AgIIGIKBhaawKBAC6Xa7qXIoQQQgAQ+t3vMDo7e/sAF6tsNIqRK5foGxi7bC7W169nc+hF87wpDowLto9xQ0MDzc3NdHR0TPdShOjlcrl6h7wIIYQQ00kbBoG7fgpANl7kgXEsRnqGWULRt5QCoLGskT8a5njoqS6lKNjA2G6309jYON3LEEIIIYQoSJGHHyZ94AC2mhp0fOrHJU8lIx4j5bQCAwNjn8NH3J4FIDvFr7NgSymEEEIIIcTgtNYEfvRjHHPmUHLuucdkXPJUysbipJxmWNq3lALAZ/eRtOfO63kLb74TQgghhBADxZ95hsTOnfg/+s9YfF6yPT1Fuy9LZ7PoeJwes8R4QMbYa/f2BsZv2c13QgghhBBicIEf/xhrdRVlF12Exe2BbBadTE73ssYln+2OOczA3ufw9XvcZ/dhWBXaZn1rt2sTQgghhBD99WzfQezpZ/BfeSUWpxOLxwNMfceGqZLNddSI2bN4bB5slv5b4Lx2LwDa7ZIaYyGEEEIIcUTgJz/G4vNRcdllAFjcbsCs0y1G+cA4as9Q6iwd8Hi+5lg77TL5TgghhBBCmFIHDhD5y8NUXHYp1hIzYLR4zYyxnuKNaVMlHxiHrOkBG+/gSMbYcNll850QQgghhDBFN22CbJaKD36w91hvxrhIO1P0Bsa2JCX2gYGxz27WHGccUmMshBBCCCFyjFAYAFttbe+xoq8xjkYBCFqSg5ZS5DPGaad1yvs1S2AshBBCCFEkstEIFq8XZbX2HlPuXGBc5BnjgIoPaNUGYLfacVqdJB0WqTEWQgghhBAmIxLFUtK/3KA3Y1yk0++MfGBsiQ9aYwxHehlLYCyEEEIIIQDIRiJYS/r3+bV48jXGselY0oQdyRjHBs0Yg1lnnLBrqTEWQgghhBAmIxrB4jsqY5zbfDfVU+GmSjYWA4uFhF0PmzHusWu0BMZCCCGEEAIgG45gOTpjXPRdKeLgcYNSQwbGPoePuC0rpRRCCCGEEMJkRCNYj8oYK4cD7PairTHOxmLgcQEMWUrhtXuJWTPoVAptGFO2FgmMhRBCCCGKRHaQzXdgbsAr2nZtsRiG2wkwdMbY7iNqy5jnT+HrlMBYCCGEEKJIDLb5DsxyiuItpYhhuOzA8BnjiDWVO3/qXqcExkIIIYQQRSCbTKLT6QGb7yCfMS7ewDjtsgFDB8Y+u4+QxQyMp3L09YiBsVJqvlJqW58/YaXUp5VSfqXUX5VSu3NfK/pcc5NS6nWl1KtKqXOnbPVCCCGEEG8R2UgEYMDmOyjyjHE0StJphqTDb74za4untZRCa/2q1rpJa90ErALiwG+BG4FHtdYnAI/mfkYptQi4DFgMnAf8QCllHezeQgghhBBidIxcYGwdosZ4qsclT5VsLEbSqbAoCx67Z9BzfHYfSXvu/AKqMT4L2KO13g9cBNyTO34PcHHu+4uA+7TWSa31XuB1YO0krFUIIYQQ4i0rG40CDFpKoTxFnDGOxehxmNliixo8NPXavSQcKnd+4dQYXwb8Mvd9rda6FSD3tSZ3fCZwsM81zblj/SilrlFKbVFKbeno6BjjMoQQQggh3lqyvRnjQUopirgrhRGPE3NoSuyDl1HA0RnjAgiMlVIO4N3Ab0Y6dZBjesABre/UWq/WWq+urq4e7TKEEEIIId6SjEguY1w6cIOaxe0pyoxxNpWCdJqozRiyvhjMGuNELjCeygl/Y8kYvxN4Xmvdlvu5TSlVB5D72p473gzM6nNdA9Ay0YUKIYQQQryVZaO5jLHvzZMxzsZiAERsGUqdg3ekALOUIunIXVMggfE/caSMAuD3wFW5768CHuhz/DKllFMp1QicAGye6EKFEEIIId7KjN6uFP0zq/tC+whbksWZMc4FxiFrashWbWCWUuQzxtNeY6yU8gBnA//X5/AtwNlKqd25x24B0FrvAH4N7AT+DHxSaz11s/uEEEIIId4CsvlSCq+391g8Heef//LPbAo8C+k0OpWaruWNy5HAODlsKYXX7j0mXSlsozlJax0HKo86FsDsUjHY+V8Dvjbh1QkhhBBCCMAspbB4vSjrkS64P93xUzp6OghbzDAt29OD1eGYriWOWT4w7rYmqB8uY+zwoS0Kw24rjM13QgghhBBi+hiRaL8yisOxw9y9/W4AIpY0MLXZ1KmQD4yD1tSwGWOHxYHNYsNw2gpm850QQgghhJgm2UikX6u225+/nazOcnrD6YStSfOcIqszzvdmTjiHnnoHoJTCZ/eRdlqmv8ZYCCGEEEJMLyMa6R3usb1zO3944w9csegKTqw4kbAlHxgXZ8Y4P+BjOF67l7TDWjBdKYQQQgghxDTJRqJYSnxorbn1uVvxu/x8bOnH8Dl8xOxZ85x4bJpXOTZ9A+PhulKAGTgnHUoCYyGEEEKIt7psJILVV8LD+x/mhfYXuH7F9fgcvtxUOHO+2lTW304FIx8YO0cOjPOdKWTznRBCCCHEW5wRjaJ9Hr699ducUHEC7zn+PUCux29++EWx1RjHYmQddrIWNWIphc/uo8eu0VNYLiKBsRBCCCHe1LKxGNoo/pEK2XCY/UYHh6KH+PfV/47VYrZt8zl8R3r8FmGNcdZtRvWjyRjHbdkpDf4lMBZCCCHEm5ZOpdjzrvMJ/OhH072UCckmk+h0mqDNHOCxdsba3se8dm8RZ4zjpF3mWI3RZIzjNkNqjIUQQgghxiP697+TaWsjfahlupcyIdncOOiIw6DEXoLNcmRGW79xyUVWY5yNxUg7bdgtdpxW57Dneh1eotaMBMZCCCGEEOMRfvBBoPgCxqMZucA47MhQ6uxfcuBz+EjbQFvUlG5MmwrZWIykU1HqKEUpNey5PruPuN2QUgohhBBCiLEyojEif3sMKP7AOD8Io9uWpNxZ3u8xn90HSpF12tFFV0oRI+EceeMd5EpG7AoyGXQqNSXrkcBYCCGEEG9K0b89ik4kUB4PusgyqUfLl1J0WQYGxl67F4CMy158m++iUXrsI2+8A3Jt6XLXTdEbHQmMhRBCCPGmFPrDg9jr63EvX1Z0AePRjIiZMe60xilzlvV7zGax4ba5yTisRbj5LkbUYVDiHDlj7LP7SOY3GUpgLIQQQggxOplAgNjTT1N6/vlYPN43QSmFmTFut0YHBMZgBo0ph6XoXqcRjRKxG5TaR84Yex3eI5sMp+iNjgTGQgghhHjTCf/5z2AYlF54ARa3u+gCxqPlN991qNiAUgrITYVzqKLKGGeTSXRPD93OzKhqjI/FIBMJjIUQQgjxphN+8CGcJ56I68QTc4Fx8QSMg8nmSiniTobMGE/1uOTJZgRDAHTakwM6bQwmPxIamLKacQmMhRBCCPGmkmpupueFFyi94AIALB73lI4RPhay0Qh43GiLGjRj7HPkxyUXUWAcCgIQdmVHlTEucZSQtJst3aTGWAghhBBiFMIP/RGAsvPfBYByuckmEmitp3NZE2JEomivGxg6Yxy3Z4tqk2E2ZGaMo+6Rp95Bvl1b7lqpMRZCCCGEGJ7WmvCDf8C9ahX2mTMBsLjdYBjodHqaVzd+2UgEw2tOhhuqxjhmm9rhF5PNyAfGLjWqdm0uq4u00wpIjbEQQgghxIiSr71GcvfrlF1wfu8xi8fMtBZTmcHRjGiEtNvceTZYxrjEUTLl45InWz4wjowyY6yUwurxAFNXSy2BsRBCCCHeNMJ//BPYbJScd17vMeU2A+NiChqPlo1ESbrMbOlQGeOoNY1OJNCGcYxXNz5GMAiYpRSjyRgD2D0+ALTUGAshhBBCDC/1xhs45szBVlHRe8zizmcZizkwjpBwWbAqqzkC+igljpIjrcx6Esd4deNjBENom5XkKCffAThygbHUGAshhBBCjMDo7u4XFMORUopi2ph2NCMaJZZr1aaUGvB4/41psWO8uvExQiEyPhcoNapSCgCvs2RKB5lIYCyEEEKIN41MdzdWv7/fMUuulGKqet8eC9lIhKjDGLS+GHLDL3p7/BbHGwAjFCLlNdPcPsfALPhgvHavGRjL5jshhBBCiOEZXV1Yj84YF3mNcTaZRKdShO3GoPXFYAaWUz0VbrIZwSAJrwOPzYPdYh/VNVM9yEQCYyGEEEK8KWjDwAiFsPr7B8YqX2NcpKUU2dw46KA9RZlj6IxxfipcsbwBMEIhejyWUZdRwJGSEdl8J4QQQggxDCMchmwWW8VRpRSe4s4YG7nAuMuaHLKUwmv3knTkpsLFiiRjHAoRdQ1SXxzvGvIan91HzxQOMrFNyV2FEEIIUZCiT/6d6GOPkQkEyHR2kunsIBuL03D77XhWrpju5U2I0d0NMEwpRXEEjEfLRqMABKw9zB+ilKLEUXJk812RvE4jFCLiKuvfkeLwy/DDU+E9d8LySwdc43V4ids1xhRtMJSMsRBCCPEW0vaNbxC8/36Su3ejrFZcJ56I0dlJYufO6V7ahBldZqbx6FKKI5vvijNjnC+lCNnTlLvKBz2nb1eKYnid2VQKHY8Tchn9A+O23O/hHzdAqHnAdSX2EpJ2yExRYCwZYyGEEOItJHP4MOWXfoAZn/88ADqT4ZUlSzHCoWle2cRlchnjo9u1KZcLKJ7+vkczImbGOO4cut+v1+4tqs13+eEeXY50/1KK4AHzazYDD1wHV/wW+rSn89q9dNohG5HNd0IIIYSYACMaJRuPY6+t7T2mbDYsXi/ZUPEHxkZXrpSiT7s2rTXf2PJfaIe9aEoMjpaNmhnjuHPwqXcAFmXB5vGa5xfBJsP871unPUGps0+wH9wPvlo456vwxmPw3I/7XedzSFcKIYQQQkyCTFsbALaa2n7HLWWlGKHwdCxpUg1WY/x8+/P88pVfknKooigxGEx+891wgTHQJzAu/DcARi4wDtiTVLoqjzwQ3A/ls2H1P8NxZ8FfvwyBPb0P5zPjWibfCSGEEGIi0ocPA2Crrel33FpaZnZ0KHJGdxcWjweL09l77N5d9wKQdliLIpM6mGyfUoqhulIA+JylZOxTNxVuMuUD44hbUenuGxgfMANjpeCiO8Bqh999ArIG0GeQSSKJ1nrS1yWBsRBCCPEWkWlrB+hXSgFgLSvrDVSKWaar/9S71mgrjx54FICUQxVFwDiYbDSC4XagLWrYwNjr8JJyWotiJHS+xjjq5kjGOGuYG+7K55g/l9bDu26Dg8/C098D8v2aFSqr0anUpK9rVIGxUqpcKbVRKfWKUmqXUupkpZRfKfVXpdTu3NeKPuffpJR6XSn1qlLq3ElftRBCCCHGLNOeK6U4OjAuLSX7Jth8Z3R39yujuO/V+wCYVTKLpF0VbY2xEYmScZs764YrpfDZfSSLpGTECJq/b1EX+F25NzORVnPTXfnsIycufT+c+E548lugtdmvOd+WbgpKRkabMf4u8Get9QJgObALuBF4VGt9AvBo7meUUouAy4DFwHnAD5RS1sleuBBCCCHGJt3WhqWsDEuuS0Pem6bGuKurt1VbT6aHja9t5KzZZzGvbJ45La1oSykipNw2XFYXLptryPPyZQbFUmOsrRYSDo6UUuQ7UvQNjJWCuadCMgw93f1GX+vpCIyVUqXAacBPALTWKa11ELgIuCd32j3AxbnvLwLu01ontdZ7gdeBtZO7bCGEEEKMVaatHXtNzYDjb5pSimA3tnIzMH7ojYcIp8JcvvByvHavOS2tCDKpgzGiERJu67BlFGB2bEjYdVHUUhuhEGmfC5Q6kjHuDYzn9D+5bKb5NdyC2+Ymac9N+JuC/56jyRjPAzqAnyqlXlBK/Vgp5QVqtdatALmv+f+lzQQO9rm+OXesH6XUNUqpLUqpLR0dHRN6EUIIIYQYWaatbUAZBZib73QySTaZnIZVTR4jV2OstebeXfeywL+AlTUrzTHCtuINjLOR6Igb78DMGMft2eLIGAeDJL12vHbvkSx4937za1lD/5NL84HxISzKgnLn+1JPT2BsA1YC/621XgHEyJVNDEENcmzAtkGt9Z1a69Va69XV1dWjWqwQQgghxi/d3jagIwWAtczsI1vMWeNsTw86kcBaUcHmw5t5Pfg6ly+8HKUUXruXmNUo4sA4Qsyhh60vhlxgbCuSwDgUIu62HNWq7QCU1IH9qHKRPoExgMqP+J6CzPhoAuNmoFlr/Wzu542YgXKbUqoOIPe1vc/5s/pc3wC0TM5yhRBCCDEeOp3G6AwM6EgBZikFUNRDPvLjoG3+Cn6x6xdUOCt4Z+M7AbP3bdxmFEXAOBgjGiXsMEbMGOfHQk/VuOTJZIRCRNwc1aptf//64jxfLSgLhMzA2OrxAFMz5GPEwFhrfRg4qJSanzt0FrAT+D1wVe7YVcADue9/D1ymlHIqpRqBE4DNk7pqIYQQQoxJprMTtB4w3APAUprLGBdxL+NMdxCAbleWxw8+ziUnXoLTavYz9jl8JB1T89H7sZCNRAjZ0iMGxiWOEvN1FsEbACMUJOQwjtQXw5Eexkez2sxMctjMs1q95iCTqdh8ZxvledcD9yqlHMAbwEcwg+pfK6U+ChwA3g+gtd6hlPo1ZvCcAT6ptTYmfeVCCCGEGLXeqXeDlVKUmgFXMXemMLrNjPHjkeexKiuXzr+09zGPzUPSpiCVQhsGylo8zbKyqRQ6lSJoy1IxQilFvpWZLoK2dNlgiK45+kgphZExSyUGC4zB7GkcbgbA4TXfyE3FG51RBcZa623A6kEeOmuI878GfG38yxJCCCHEZEoPMdwDwFqeD4yLv5TiddVBY3kjtd4jrzOfMQbI9iSw+rzTscRxyebGQUedWRpHUWOcsIPuMafCKTXYtq/pp1MpsvE4AbuF2nwpxWA9jPsqnQlt2wGwe0uA6asxFkIIIUSRO5IxHqwrRS4DV8RDPjLd3QA0W0LUePpnxfO1t1Ac2dS+8oHxqLpSOHwkHAqlNTqROBbLG5cj46D7DPcI5jpSHN2qLa+swawx1hpnSa4mfpq6UgghhBCiyGXa28Bu7zcZLs9SUgJKFXcpRVc3WK0cpItqd/9uV/2mpRVZnbHRNzB2jNyuLVEErzMfGEddIwz36Ku0HjI90NON211CVjElo68lMBZCCCHeAtJt7dirq1GWgf/0K4sFS2lpcZdSdHdjLS8nkBgYGPvsvqINjI9kjBXlrvJhz+1XMlLAG/B6A2M3R2qMgwcANbCHcV6flm0+RwkJOxjTOBJaCCGEEEVsqOEeedbS0iLvStEFFWUY2qDaMzBj3JtJLeCAcTBGJAqMspSib8a4gF+nEQwCEHUfNfWupA5szsEvygfGoUO9nwCkY5FJX5sExkIIIcRbwOgC42LOGAcxSs3+tjXugTXGSYe5EU0XW8Y4eqSUYqQBH26bm5TDDO0K+XUawSFKKYYqo4A+Y6EP4bP7iLkgFeye9LVJYCyEEEK8yWmtSbe3Yx+kVVuetayMbLCIA+OuLhI+M9t4dMbYY/MUbSlF3xrjUkfpsOcqpVCe3LjkQs4Y50opUl4HPrvPPBjcDxVDbLyD3JAPK4QP4XV4CXkhE+ic9LWNto+xEEIIIYpUNhJB9/Rgq6llf3g/zx1+jpZoCy2xFlqiLXQnuvkvVw3O1uItpTC6uogvNAP/o2uMrRYryuUCYlPS4msqZXOlFFZfCTbLyGGbxe0FogX9BsAIhchaFZ6ySrOlnJExO04MlzG2WHuHfPjsPg55FUaga9LXJoGxEEII8SbX26ptRi0bHt/Arq5dWJWVGd4Z1Hhq2BfeR6etlBlFWmOsMxmMcJiwWwNQ5a4acI7V4wViUzJGeCploxHSTiul7vJRnW/15sYlxwr3dRrBIAmPDX++jCJ8CLQxfGAMZjlFqBmf3UfIAxwITvraJDAWQggh3uTywz1sNTXse20fHzjxA9y07iZsFhtZnWXFz1cQdWmMUKigB0MMxQiFQGu6XQYVzgrsVvuAc2z5McIFnEkdjBGJknBbR6wvzjsyFa6AA+NQiJjbMvpWbXml9dD6El67l6BXYYn1kE0msTiH2LA3DlJjLIQQQrzJ5TPG0XInPZke5pXP6/1Y3qIsVDgrCDmzkMmgC7g2dShGbrhHhzM5oL44z+7JTUsrssA4G4nQ47SM2JEiz+Y1a3YLu8Y4SNiZPapVG6MIjGeam+9sZo0xgBEITOraJDAWQggh3uQy7WZgfNidBGBWyax+j1e4Kgg60gBF2bItkxsHfdgeHzIwdrt8ZC3mSOhiYkQjxJx6+MA4FYOkWYvs8pUDhZ0ZN4IhQk6jf6s2ZYHSIXoY55XOhEwCXzbTGxhnOid3A54ExkIIIcSbXLqtDWt5Oc0ps6Ripm9mv8crXZUE7GbQXIxDPozuIACHrJEBG+/yvA4fKYeloEsMBpONRIk6jKFLKYIH4AcnwcaPAOBxl5CxFnbGOBPqJuzW/UspSurB5hj+wlzLNk+si6DXLPfJdErGWAghhBBjkGlrx1Zby6HoIQDqffX9Hve7/LRbzUCqGMdCG91mxvigNTRkYOxz+EjaVUFnUgdjRCKE7UMExsGDcPcFZmDZ8SpwZMhHIXffMIIhs4dxbynF/pHLKKB3yIc1cphUqRuY/JZtEhgLIYQQb3LmcI8amiPNVLmrcNvc/R73u/0ctpr9cotxyEe+xrjbPXDqXZ45/U4XdMA4GCMSJu6CUudRPYxDzXD3+dAThOPfAeEWyGZ7A+NMLDot6x2JTqUg3mNOvXP3KaUYQ2BMuBmj3KwZlxpjIYQQQoyJOdyjluZoMw2+gXWcFc4K2m1mwJgtwlKKTFc3eD0YVjVg6l2e1+6lx6aLr5QiGh049a43KO6GK38LJ54H2TTEOvA5fCQcUzMueTLka9h7M8ZG2mzXNprA2FcDFhuEDlFaWknSZZVSCiGEEEKMnk6nMQIBbDW1HIocoqFkYGDsd/uJmQPTirOUoqsLo8zcjTVSxjgTjx3LpU1INpWCVJq4Ux0JjCNtZvlEvAuu+B3MXNUvk+q1e0naCzgwzr3xirhz46DDh0Bnh596l9dnyMcMzwwiPquUUgghhBBi9DIdHaA1qqaSw/HDAzbegVljnHCAtlqKsiuF0d1NMj8OeqgaY7tZY5yJFVFg3GccdG9g/OL/Qvde+ND/QcMq81huUxqhQ5TYS0g4wCjQNwBGMAhA3GOhzFE2+lZtebmWbbXeWro8WQzJGAshhBBitNK5HsaRUgdZnR00Y1zpqgSl0CVejFDwGK9w4jLd3cR9Zl/mwabegZkxTjrAKKJSinwQGe1bY9z5OvhqYdaaIyfm25yFD+F1eEnaFUaBdqXIZ4wtpaVYLdZxBMb1ED7EDO8MAh6DVGfHpK5PAmMhhBDiTSw/3KPdlwEGtmoDs48xQMbrJFukGeOoxzLk1Dugt8SgkNuYHS2T21gW8vbJGHftAf9x/U/0+MHmglBzb8a4ULtvGEEzMHZU5Dbede/P9TAe+Hs5qLKZvaUUIY90pRBCCCGmVOLVV4tuOtpw8oFxs8sMCI8e7gH0DlpIeRxFV2Ostcbo6qLbNXRHCjjSxkwX0YAPIze4JOq14bObE+3oegMq5/U/USkoa4DQkRpj4oX5OvMZY1dF7r9V8IAZFA/xhmaA3JCPGVYPIa+CcNTsdDFJJDAWQgghcnQqxb4PXErb178+3UuZNOm2dpTDwQHVjd1iH7QG12f3YbfYiXusRTfgQ8fj6FSKTmdq2MC4N2BMFGbAOJh8xwVdUYpSCpIRiLYNzBjDkXHJDvMNAInksV3sKBnBIIYFfH0D49GWUUBvZnmGYRDMT7/LvYGYDBIYCyGEEDnp9nZ0Mknodw+Ym9beBDJtbdhqamiOHqLeV2/WdR5FKYXfZXamKLbNd5lcD+M2R8+QG+/gSGCsEim01sdqeRNidAXQCqwV5eaBrjfMr/55A08ua4DQITMz7gBLYvKyqJPJCAWJuRSV+Vrw0Q73yMttNKxNJQhPwfQ7CYyFEEKInHRLC2C2OOv6xb3TvJrJYQ73MKfeDdbDOM/v8hNxZouuj3G+3KDFFh02MM5PvlNaT+pH71MpE+iix2unzG3WgBPYY36tHCJjHD2MEysphxWLkS3I15nq7iLiyo2DTkbMdm2Vx4/+BrmMsT1yGO0vA8CYxDpjCYyFEEKInExrKwDOBQvovu8+skXU2mso5nCPGpqjzYNuvMvzu/wEHRmMcBidzR7DFU5MfupdyK2p8Qw+3APAY/OYpRQUzwY8oytAxGehzGkGgHTlAuNBM8YzQWdR0cNolwMozNeZ7O4k4s7Vtbe/Yh6sXTz6G3hzQz7CLbiqagHJGAshhBBTIp0LjGtvuolsKETw/v+b5hVNjNaaTFsb2aoKQsnQoK3a8vwuPwF7ErQmGy3MccKDyXSZgXHYM3QPYwC3zU3KYX70XqgdG46WCXQR9PTtSLHXHHDh8A48Od+yLdSMcpvTWgpxE2k6GCTmVmaLwPYd5sGahaO/gcUCJWbLNu8M8zVnJnEstATGQgghRE66pRVrZSXedWtxr1pF1z33oDOZ6V7WuGVDIXQySbTMzCCOFBh35MZCF1OdcT5jHHYPPfUOzDpqCjhgHIwRCNDlMsxBGGCWUgy28Q6ODPkIH0K5PUBhvs5sKGSOg3ZXQvsucPigbAw1xmC+1tAhqitm0uOATKeUUgghhBCTLt3air2uDoDKf/4I6UOHCP/lL9O8qvFLt7UD0JXr9DVcKUWFq4KgIw0c6TVbDIzuLrTNSo9z+IwxcCSTGi+8gHEw6UCAbo9BuavcPNC1B/yNg5+c7wMcasbqzQXGscIrpVDhGNHeUoqdUL3AzAKPRZ8hHyEPJDoOT9r6JDAWQgghctKtLb2Bse/MM3E0NtL1k7uKpovB0TLtZg/jw14z4B0pYxx1m6UG2XDxBMaZ7m5SJS5Qasipd3mW3kxq4QWMR8smk+holJBHmTXGiTDEOgbfeAfgKgVnGYQPYfWYpRaF9jp1Oo21J0nUlSulaNs5tjKKvFJzyEetp5agF3raJTAWQgghJpXWmkxLK/Z6MzBWFgv+j3yYxM6dxJ/dPM2rG5/8cI/9zigljhJKHaVDnlvpriRmJlSLq5Siq5senx2/yz/k1Lu8fMBYDDXG+W4bIS/UuGv6bLwbIjCG3hIDm8f8iKDQNt/lf6/SJS7sPUGId45t411eWQMYSWZY3YS8alKn30lgLIQQQgDZcJhsPI5tRl3vsbKLLsJaWUngrp9M48rGL9+LeY+ta9hWbZDLGOcD46Iqpegm4rGMmC0GsPVmUgs/MM4EjgTGtd7aIz2Mh8oYQy6T2oyjxHwDVGhvAIxgEABVWjK+jXd5pfUAzMgYhLxAV3BS1gcSGAshhBDAkY4U+VIKAIvTif9DlxN74klSzYema2njZgSDWDweDiRahy2jALPGOFqUGeMuQu7ssBvv8uzefCa1sALGwRhdZqeFsEeZbegCucC4YogaY+jNGDu9ZmBccBnjXI9sW3m5ufEOoGYcGeNcPXV1Mk7Ya8EaiU/aJlkJjIUQQgjMjhRAbylFnnvlKvPxQ0UYGIfCWMpKRxzuAVDhrCBtV2Tt1qKrMQ440yNuvANw5APGAqu9HUy+N2/MZ6PCWWGWUpTUg8Mz9EWlDRDvxJnLjKeihfUGJ/9JhLOiEtp2gKcKfCP/dxsgFxhbI60YFT6Unryx0BIYCyGEEED68MCMMYCt0g8cyeAVEyMcRvu8pLPpETPGHrvH7PXrcfRm9gqdTqfJhsN0OBKjCoydvsIsMRhM/vfNWVVjtpoL7Bm+jAJ6W7a5nObY70T35NXeTob875W7ssbMGI+njALAWw0Wu7nRsLLSvPcktWyTwFgIIYTAnHqn7Pbef2jz8j/naz6LiREOkfKaG9KGa9WW53f5SXhsGKHCyjQOJV+zGhxh6h25SX4uT26EcBEExplAFymHhYqK3Bu1rj2DT7zrq8x88+PLpok5IVlgb+ZSXWbw6vXXmoHxeDbegdnerXwWBPbgrM5Nv5ukIR+jCoyVUvuUUi8rpbYppbbkjvmVUn9VSu3Ofa3oc/5NSqnXlVKvKqXOnZSVCiGEEFMo3dKKra4OdVRPVWtZGVgsRZkxzobC9LjM1zNSxhig0lVJzK2KpsY40z2KqXeRNri9CZ7+Hj5nCUkbpGKRY7fIcTK6AkS8FnPjXU8Q4oGRM8a5EgNfKk7EDenuwvqdjXW1YSgodzkhHRt/xhhg5mo4uBlfrfmaJ2vIx1gyxmdqrZu01qtzP98IPKq1PgF4NPczSqlFwGXAYuA84AdKKeukrFYIIYSYIn2He/SlLBasFRXFmTEOhQi7QKGo8w58bUercFUQdeqiKaUwcuOgI54hpt4Zadj4EQjuh5YX8Dq8JO2FV3s7mEygi253llpPn44Uw7VqgyOBcU+YiBuM7uDULnKMeloPEXNBZTJmHhjPxru82esgepjyMrM8JnK4eRJWOLFSiouAe3Lf3wNc3Of4fVrrpNZ6L/A6sHYCzyOEEEJMuaECYwCb31+UGWMjHKbbkaLWW4vD6hjxfL/LT9CZIVssgXFunRG3Gjxj/MjNsP+p3OCLFrw2LwkHpOPRY7vQcUh2tBHy6KMC4xFKKewu8FTh7ekm4lboAmq7Z4RC6Mee5sV5Cn/EnMhIzYLx33D2yeYtjChJG0TaDk7CKkcfGGvgYaXUVqXUNbljtVrrVoDc13xxz0yg7+qac8f6UUpdo5TaopTa0pHrsyiEEEJMB53JkGlrw15fx9OHnibQ0z8ItlZWFl3GOJtKoRMJOm2JETtS5PldfrrsqaIppchGzHXGnAzsY7z9/+CZO2DtNTD/PAgfwufwkbRDJlb4gXEmECDkIdeqLT/cY5hWbXllMymJdhDxAOHCeZ3dv/wllp4kD5xkoTJ4CMpng7Nk/DesXgjOMmZ0HyDkhcQkTb8bbWC8Xmu9Engn8Eml1GnDnKsGOTZglqbW+k6t9Wqt9erq6nG06hBCCCEmSaa9HbJZsjWVfOLRT3Djkzf2GwNt8/sxJmlzz7GSz/oetkRGtfEOzMA44tRko9FJ6ws7lYywWSvsLKvoP/Wu41V44DpoWAvnfM0cCBE5jNfqIWkHoyc2TSseHa01ujvYZ7jHHrMVm9098sWlDXjD7UTdYCmQwDibSND1s5/TvaKRAzWKys49ULNoYje1WGDWWma07iDohfQkTb8bVWCstW7JfW0HfotZGtGmlKoDyH3N5cVpBmb1ubwBaJmU1QohhBBTID/co7vMSlZn+UfrP/jbwb/1Pm6trJy0PqnHSj7re9gSGdXGO8jVGOdiLyNSBBvUImGyCkrK+iTYEmG473Kz3+8H7gGbw+z/a6TwGmkSdlXwAz6y4TDKyBLyqCOlFJUjlFHklc2kLNxCxGPBmkiTTaWmdrGjEPrtbzG6utj1zgW4rS48nbsntvEub/ZJ+NtfJey1QNfklI2MGBgrpbxKqZL898A5wHbg98BVudOuAh7Iff974DKllFMp1QicABTnkHkhhBBvCfnhHi1eM4goc5bxzee+SSKTAMxextlIpCCCjNHKt1yLukbXqg1yXSly0++Koc44G46QdFmp8vVp1fb4f5mB5CU/7R0dnP/qTURI2kH3JKZhtaOXL9uJ+JRZIhLYM/LGu7yyBqzJMLrEHAQy3RvwdCZD4Cd34Vi2hP91bWNByRzIZia28S5v9klYgHSJA3twcrLjo8kY1wJ/V0q9iBngPqS1/jNwC3C2Umo3cHbuZ7TWO4BfAzuBPwOf1Fobk7JaIYQQYgrkM8b7XOY/rl895ascih7inh3mHnOrPz/ko3iyxkZuel3MpZhVMmuEs01+t//IWOgiCIyNSJiY66hWbfufgrnrofFtR47lAmNfT4ikA0gUdmBs5MsCysuxJSPQ0zXyxru8XGcKVWJOvzOC3VOxxFEL/+UvpJubef6cObT3dPCvNeamuUnJGNevBIudrM+KM5pCGxMPN20jnaC1fgNYPsjxAHDWENd8DfjahFcnhBBCHAPp1hasZWXsTbdS5a7izNlncvacs/nxyz/mouMvwts75COAfcaMaV7t6GRzpRQx1+h6GINZYxx1mVuFimEDnhEOE3FkjwTGRtocNbzu4/1PzGeM4wGSdlCJ5DFe6djkM8aO6moI5DpSjNTDOC835MNRYtbETGfGWGtN4Mc/wTJ3Nre5HufshrNZFY+DxQZVJ078CRweqFuOtSOARYPR3Y2tqmrk64Yhk++EEEK85WVaWrHV13MgfIDZJbMB+PfV/45G860t3+qTMZ7e7NtYGLlWXQmvjUpX5QhnmyqcFcTyNcZFMP0uGeom5uLI1LuOV8BIQd1R+TxvNVhsOKLtpBwWVCJ97Bc7Bplca0B39Qxz4x2MvpQilzF2eszNiNOZMY499TTJXbt46oxq0trgM6s+A+07ofJ4s/Z7Msw+CZfF/KQn1dE+wskjk8BYCCHEW16+h/H+8H7mlM4BoN5Xz0eXfJQ/7/szO7OHAIqql3E+4+ss9aPUYA2jBrJb7agSn3l9KDhVS5s0mXCImLNPKUXri+bXuqb+J1qsUFIH4Ra004E1WdiBsRHoIguUVTfkehgrqJg7uotL6kBZKMlNPMxPB5wOgR//GF3l547qF/nQwg+ZJT3tOyenjCJv9kn47Gbtf1fr3gnfTgJjIYQQb3npw4ehtopAIsDs0tm9xz+y5CPUe+v51p4fARRVL2MjHCLlslLm9Y/pOle5+VF0tkhKKeIuqPLkPj5vfREcvsHrcfOBscuBNZMt6HZ0ic42om6oLplhbrwrm2UO7xgNqw18Myixm68v2tk6hSsdWuLVV4n/4x9sOsVHic/P1cuuhmQUuvdNzsa7vFknUe4wX2t3y74J304CYyGEEG9pRjRKNhwmXOEE6M0YA7hsLj7R9Am2x/egHfaiyhhnQ2F63FYqXBVjuq7MV0nKYSmKUgqiceJOszYaMAPjGcvMHrdHK62HcAu4zAAzW8Ab8OJtLf17GI+2VVte2UyqMjF6HBDrnJzBF2OVfOUVAH434xCfbPokJY4Ss780TG7G2FdNVZVZShOdhOl3EhgLIYR4S8vkOlJ0lpo/9w2MAU6sOBGUwijzFVnGOEzUqY8EjaNU4aog7rYUfFcKnclg7UkScyoqnBWQNeDwywPri/NKZ0K4BeU2i6iz8fgxXO3YpAIdhLy5HsaBPaPvSJFX1kBVtIuIG5KB6ZkunGg1R1iUzzqO957wXvNg+w7za+0Eh3scZcacNaSs0DMJ0+8kMBZCCPGWlm/Vdshrdio4urVZracWgFSpq3dTVDEwwmHCzuyYA2OzM0Xhd6XIRs0NVwm3Ba/dC4HXIR0fJjCug3QMi8vc9KV7CnfIR7arm5AHai1OSARHv/Eur3QmVZF2Iu7pqzE+tPcloi74xLpPY7PYQGvY/Vewe6B87qQ+V/nctxH2QqZt5HlyraHh/7uP2K5NCCGEeDPLD/fY4wxTSy1uW/+xuxWuCmwWGzGfDX8RZYwzoSBhZ3bMpRR+l5+Q0yj4jHF+Mp/2ec3Nhb0b74YKjM2WbTanGfpkCzgwVsEI4RlQE8wFerVjrMkta6AqGSfiLqdmmv47JlpbCJfASTUrzKD4jxtg1+/htM8NXuoyAWrOycQ9GnXU/z611hzoivPs3i425/4c6Br+kwIJjIUQQrylpVtbwWbjVUvbgDIKAIuyUOupJeTJUre/eDLGmVCIWB3UDpYxTkbN7gCHX4a27dC9H879OtQswO/yE3NBKljYbwLyGW1LrosGrS+CzTV0f9xcGzOrzQzKCnUstE6lsMeSJEvduA6/bB6sXzG2m5TOxKM1PR4rlo7Y5C9yNNo7CZfaKHOUwp8+B8/9CE65Hs78/OQ/V+XxpD0KbzjB7rZIv0D4cNisJa/w2Fnb6OeqU+bysf8a+lYSGAshhBiT+Asv4F6+HDXJWZ/pkm5twV5by/7oQd4x5x2DnlPjqaHLfQgj0IXWetTtz6ZTNhwmOg8WHJ0x/t21sO3eIz87yyAZglce7A2M97jAaC3sjHE2lzG2lZWZB1pfhNolZleGweQyxnZb1ry+pzBrjDP56YoV5XDoBag8AdzlY7tJmfkmwPA5sL0xPW8AHF1RUgtKUH+5CTbfCSdfB2d/FSbxfztGVrOrNczmvV2Uuu1UtqU5+9tPAFBT4mTdvErWNvo5qdHPcdU+LBbzuT82zD0lMBZCCDFqiddeY/8/fZCZ3/5/lL7zndO9nEmRaWlF1VYTTG5nTsnAjDGYdcbtzjfQySTZWByrz3uMVzk22WQSlUwRc1n61xine+Dl38Dx74DVH4UZS8xWYN9ZBu27ALOU4iUX6FzgWajyGWNHWQVks2ZgvPT9Q1/gMycWOixmYJyJRad8jeORCZifStiqKuHQFph35thvUmbWyWuPDWdPHJ1Oo+z2yVzmsHQqhTuSAo8Lnv0hnHQtnPP/TTgoThtZXj4UYvPeLp59I8CWfd1Ekmarti+5vCyIB/l/76pi1eIlzPZ7xvUGVgJjIYQQo5ZuMWseY88++6YJjNOtrSQXNQIDO1Lk1XpqababgZTRFSj4wDhfHxx1mdPseh181pwMt/YaOPHcI8drF5mlFRwZC60SKbKpFBbHJE0om2T5jLGrrBKC+yAZHrq+GMxJa94anMocBtETDVI+9cscMyOXMXaVl8GBNpi5auw38VaD24811/rYCIUmPCp5LFLt7Vg0OHSHOZ773K+PKyhOpA22HQyagfDeAM/vD9KTNgA4rtrLBcvrOWmenzVz/bzyvd9g3fosa9WLNFSuG/faJTAWQggxakZnJwA9W5+f5pVMDm0YpNvaCK4361KHCoxrPDVsc5nT0jKBAI7Zswc9r1Dkh3PEXOB398kY730SlBVmn9z/gpqF8PojkEnhd/uJ5sdCB4NYamqO0arHJhM2g39PRRW0vmQeHC4wBiitx5UxSyiS0cIsFUnmxhr7cpPrxhUYKwV1y3F0mJPgjO7uYxoYdxwwexj7PBre8Z+jDoqjyQzP7+/uDYRfPBgiZWRRChbOKOXSNbNY1+hnTaOfKp+z37UHZ80HnqXjjRdoeNv41y6BsRBCiFHLdJof8yZ378YIhbDm6zuLVKazEzIZ2ks0FmWhoaRh0PNqvbWEveY/7sY0jtgdrXyZQcJtpcRecuSBfU+aG7lcpf0vqFkM2Qx07aGs6kSi7txrDQaxF2hg3BM0xyaXlNeaZRQW+8iDI0rrcbXvBiAZLcx2dKG2AwD4bXHzNc1YMr4b1S3H9dKLgIt4oA3nCSdM3iJH0LH/FVxA5cw5w07sC8XTPLfPDII37+1ie0sYI6uxWhRLZ5bxkfVzWdvoZ/UcP2We4UtByhpOQAOhCU6/k8BYCCHEqGVyGWMwN+GVnHHG9C1mEuRLQw564tR563BYBy8bMLtSmN/na0ALWb6UwlJaeqTOMhmFQ1vNzgBHyweUbTuw1iyEshIgiBEMHpP1jkci2EncBeXuCmj9HdQsAJtz+ItK6/Ee2gw4SMUKMzCOth1C26Aq3moGxSO9pqHULcdnSwMugu0HGVvTvokJ7TMD47oF6/sd74gkzUD4jQDP7u3i1bYIWoPDZqFpVjnXnnEcaxv9rJxdgdc5thC1tHYWISDRPbGBJhIYCyGEGLVMZye2ujoynZ30bH2+6APj/NS73Y4gs0uGLo+o9dQSzgXGRhH0Ms6XUtjL+tYX/8PMCs8d5HPmqhPBYuvdgGctLweCGN3BKV/reCWDXcSdUOEsNzPG888b+aLSerzpMBlLFal4YW6+S3a0EffCzPbdsHiYzYQjqVtOmd2sx410jDz4YjIl9r9Kwg5ljefw2xeac6URXbyRax3ntltZPbeC85fWsbbRz/JZ5bjs1gk9Z7m/nhCQjITNvsnj3OgngbEQQohRMzo7ccycib2mhvjzxV9nnG41R8jusLXz9tI1Q55X5anCsFnIuK1FMf3OCJmBsbOi8sjBvU+aH83PPmngBTYHVB7fuwHP4a8E9hV0xjgTDhF3wqxMGuKdUNc08kUl9XizmpAdsvFp6u87gkxXF2EPrEiEx1dfnFfRiN/jQAPxQNukrW8oWmv2BeJs3hvA0dJO2Afv+3mYLC9S4rKxdq6fS1fPYm2jnyUzy7BbJ7fdo7PMrKVPJwyIB8A7vppqCYyFEEKMWqazE+fCBdjr6un++c/JJpNYnOP8qLcApFtbUT4fHZYoc0vnDnme3WKn0l1JT0m0KDLG+RpjT0Wf4GDfk2ag5Riio0bNQmh5AQCXv9q8TwEHxkYkQswF5fnpcCNtvAMorceXzdJuB0uBBsZ0h4h6LZRk9cQCY4uFqhkLabbtJxmYWHnBYLJZze72KJv3BnoHarRHzLHqP4ykiJZY+NKFS1jb6GfBjFKslqnt/W3xesgqMNIW6NwtgbEQQoiplwkE8FZV41m1kq677iKxfTueVRP4x3uapQ+3YlSXA4eZXTp8p4kaTw0RX7xIMsZmNtXvNQNcEiEz6H3bvw19Uc1i2PFbSEYpK60maSvswFhHosSdiorAG6AsoxubXDoTr86SsIMzXpgDPmyhGOnZVpSjxBzuMQEVM1bwins/6UnYMGpkNTtbwr0b5Z7b10V33OzUMqPUxcnHmcM01lfGaP4bRI4r4yPrGyf8vKOllCLpsqBTCjpfgzknj3zRICQwFkIIMSrZRIJsJIKtshL3ypUAxLc+X9SBsdHVTU+JmfEeqlVbXq2nlqD7jaLIGKdD3WYP4/zUu/3PgM4OXl+cl9+A1/EqfpefiBuqugv3tVqiPfTMtOA5vMOskR4qE95XaR2erCbpAEciMfWLHCOtNa5wkqzbCvVNMMHpktb6Jnpcv0ON481cKpPl5UPB3mzwln3dRHPDNOZUenjHwlpzqty8Shoq3L2bPCPP3kkkCj0zB+/wMpVSHgcqbUBg97jvIYGxEEKIUcm3arNVV2GrqMBx3HH0bN0KXD29C5sAo6uLyAwrVmWl3lc/7Lk1nho6nGkybYUbLOYluwPE+gbG+54EqwNmrR36otpF5tf2nVT6Kom6IdE1+R/BTxZrPInhcaEOvwSNo2xc6/Bic5WRtivoKbzAOBuJYDM0VltiYmUUeXXLSbo1nvDIGw17UgYvHDR7CG/e28XzB7pJpM0pgSfU+Lioqd4csTzXz4yyoVuwNW9/GFsWvHPmT3z9Y5TxOLCkk9D5+rjvIYGxEEKIUTECZqs2a6W5ocuzciXhv/wFnc2iJpjZmi5GdzeBOeXM9M3Ebhm+T+oM7wwOu1IYXV0F/5pToW5iLoXfmRvusfcJaFgLdvfQF5XPBbsH2ndSVXUOHW5Fqrswy0a0YeDoSZP1lkBk9+jqi/NKZ5Kxh1GJ5NQtcJxSneYbEYczMzmBcdUJZJ0aeyA14KFIIs3W3mEaXbzUHCRtaJSCRXWl/NPa2axrrGTN3AoqfaPcR6A17Xu3U4OiYtbxE1//GGW9bhyxiFlKMU4SGAshhBiVfA9jW5VZt+petZLgb35D8vXXcZ144nQubVx0JoMRCtHucDC7dOT61BpPDa96FWSz5ojdimPZGXZsjFCYmAuOd/sh3gWHX4Yzbhz+IosFqheYgfGqD7LXXbg1xtmomQFV7lwYM2PZ6C8urcewh7BE01Owsonpbt0HgNdhTE5gbLGifU7cB9N0x1I8t6+rNxDe0RIiq8FmUSxtKOOjp85jXaOflXMqKHMP/yZxSB2v0B1OUIObmrkjDFuZAsrnxdGlSXfvw55Jmd1WxkgCYyGEEKOS6TADY+03p6bla4t7tm4tysA4H/QdtIaH7UiR13fIhxEIFHRgTCRCtBwqnBWw/2lAD19fnFezCHY/TJW7iogbaIlM8ULHx4iY67I6c1n7kSbe9VVSR9a2E0uy8ALjrsP7sAJlJR4oHb60ZyTt4QSb93XR43DjTqRZ/ZWHMJQDh83CilnlXPf2E1jX6GfF7HI8jkkKB/c+QTxh9iMua5g3OfccA+Xz4U1ASGmquvdC9SDlHL/5yLD3kMBYCCHEqGRypRSnP/xu7jj3h6xtWIutupr41uep+Kd/mubVjV1+tHPAlWbZCB0pwMwYh3P7uzKBLpzH/pPiUbNEe47UGO97EmwuaFg98oU1C2HbL6jMaiJusEZ6CrJsJJsLjB02A1zl4Kkc/oK+SmeirVlsuY1khSRy+CDlgH/m8WMeUNHcHTezwW90sXlfF3s7zXZ0/6p8LCfM51f0sOyk01nWUIbTNrFhGkN643EyCSeGFax+/9Q8xzDsZWVYkxCyWqjq3D0wME4n4NU/DnsPCYyFEEKMSqazk2ypl4RK8qe9f2Jd3Trcq1cRf37rdC9tXDJdZmAcdsOckuE7UkA+Y2wGK0YBd2vIJpNYUhl6XDZKHaXmYI9Z60Y3Wji3Ac8R2EO6xI3ScbLhcG4SXuFIh4IAOC1JqDphbEFkaT3YNLaUMTWLm4CeNjMwrjlu+DcxWmv2dsZ6O0Zs3tvFoWAPAGVuO2vm+vng2tmsbfQT+u2j8I8W1rvfYMHcKQxWjQzs+zsqXka83D4tb6bspeU4kxBU1sE7UzRvhszwmy4lMBZCCDEqRmeAVLkHSPJE8xNorfGsXEXkT38m3dKCvX5iH/0ea/mMcdijRuxhDOCxe8iW+YAQmUBhbkoDs4cxQLbUg4oHoH0HvP2Lo7u45khnClVWCsQxgsGCC4xjXe0AuHQYKleO7eLSepRNY09rtNa9bcYKQepwMxE3zJ97ar/j2azmtfaImQ3O1Qh3Rs3Ng1U+B+saK7nmtHmsbfQzv7YES59hGi/OXgT8idD+7VO7+MMvkkmGcEd8ZCrHN1xjolzlfhQQsvvNIR9He+NxUMNnyyUwFkIIMSqZzk5iJeZmlo6eDnZ27eS4Vbl+xs+/QFnRBcZm1jfhtVPnrRvVNd6qGWgVKuhextlcYKxKSmDf382DjaeP7mJfLbj90L4TW3kFcLggN+BFu83A2JsNQ9UYa1pK67FYNRYNOplEuYZuPXas6a4uYm7IzljJ9uYgz75hBsHP7esi1GPWRNeXuXjbCVWsbfSzttHPvCrvsMF92YxGeoBw+4GpXfwbj3PYZqUirLEurp7a5xqCp6yaHiDiqBo8MN77OMxcCTw65D0kMBZCCDEqmc5OQnWKUkcpkVSEJw4+waIlV2Pxeul5fitlF5w/3Usck0yXGdyW1MzEahldzWW1r5a4Z09BT7/Lj4O2l5XDoS1gdUL9itFdrJSZNW7bicM/F4BMAQbGPd0d2IBSmwGVYw+MrTazP2+2pwdLAQTGyYzBS80hVDBOwgPLb91MLFfq0Vjl5bzFM3oD4Vl+z5juXVE7mx6gpysAWo+5dnnU9j5Bc+U8KiMxVN3MqXmOEXgrzMA4bimBzp39X28iDIeeh1M/jQTGQgghJiwTCBCYV8rx5cdjaIPHmx/nE02fwN3URHxL8dUZG91BetxWakpHly2GXJ2xF2YUcMbYCJmBsaPCDx2vmjW41jG036pdBNt+iWfpOvN+BRgYJ4IBfECZJTP2scmucuw2s/41GZ2etnvxVIYXDuSnygV44UAQbzrAf3dl2TfXyXtXNrC20c+6Rj81pRML3H3V5ic5qZ4MhA5C+chlQ/1kktD6EsxaM/Q5iRAceIZDjaezKPMyroZjNwq6L3e5uQmzJ+uARBDiAfDmyjr2Pw3aGPHTEwmMhRBCjCgbi6HjcQ67HMzwzuCEihP47vPfpSPegXv5cjr/+7/JplJYHGPvGzpdjK4uoh5Fjadm1NfUemvpchukC7nGOGyWUrgrqmDPM9AwTEAzmJqFkIpQUmK24EgECm/6XSocJO6EOjT4x9gWTClsbhdgEAsH8DJ3KpbYTziRZuu+7t5A+KXmEJmsxqJgcX0ZHzppDqe23E/pA1C77hQuvXjJpD23xeshY4VM0gKtL44tMDYy8JsPm50cPnQ/HP+Owc/bfj9kEnRhBqYVDcdNfOHjYC01W0mmUrmNf527jwTGe58wPz2ZtW7Ye0hgLIQQYkT54R7NjhiN3hmc1nAa333+uzzR/ARnNTSA1mRaW3HMGbm7Q6HIdHfT7TKoch+1Ueip282s6SBBQI2nhpAHUgUYLOalguamQk9pBQQPwIorxnaD3Aa8CqtBVkG0s3WylzhhmXCImBPKffVgH3tG1eEtAYLEI92TvzigK5bq7RaxeV+AnS1hshrsVsWyhnKuzm2UWz2nghKXHVJxHrrxCcBK4/qLJnUtSil6vHZIZc3AeOGFo7tQa3jwX82g2OaCzT8aOjB+/mdQu4Rotzl4xVE3PfsNrCUlAKSTuY4jna/BnJPN7/c+DrPXjfj7IoGxEEKIEeW7MHR5DE7x1nFC+QnUeet4vPlxzqu/HIB0kQXGqUAnYTf9M8aBPfDXL5nfn3wdnPUf/aZn1XpqOegB42DhllLEutoAKHXmaisHG3IwnNywjKqeIFEXZAPtk7m8SaEjUXqc4B5rGUWOs6QMCNITnpz/jm3hRG82ePPeLl5rMwNEp83CytkVXP/2E1g3z8+KWRW4HYPUs2+7l2CnJgs0rDh14OMTlPa5sCYzZmA8Wo9+BV74BZz2OUDDE7dB9z6omNv/vNaXoOUFeOetpP7wGwDsM2ona+ljYskFxkYsAR7nkZZt0Q5o2w5v/9KI95DAWAghxIjyU++CXsUM7wyUUpzecDoP7HkAvf5fAUgfapnOJY5ZpitAuB5OcPfZQf96blPOkkvgmTvMrg6X3AWV5kfDZo2xQkVj6FQKVYClI4nuTuJO8CfNAQ9ULxjbDVxlUNpAZbCFAx6wFeJGw2iclBNU1fgmLrqqa4H9JNrGng3XWtPc3dMbCD+7t4v9gTgAPqeNVXMquHjFTNY1+lk6sxyHbYR+vlkD/cz3sHXZCdd5sXq943hFIzxFmRdHJDr6wPiZH8Df/x+s+gic+XkIt8CT/w+e+wmc89X+577wc7NEYen70Xf9EK3AVj09XSnygbGOxWDW8Uc6U+x70vw6iu4sEhgLIYQYUX7qXdAHM7wzADh91unc9+p9vKAPUKUU6dbC+8h9KFprdChM5Hio9vT5R3zPo1DRCJf8BBa/Bx74JPzPaXDBt2HZB/qNhc50d2OvnZ7M2HCSwS6iLqiIdoLFNvYaXIDaRVQF9rHTDWUFuPnOGo2Tcemxt2rL8c88jhSbiR7aM+K5Wmv2dMRypRFmINwaModElHvMYRpXnDSHdY2VLKwrwWYdJBA20vDkt8zfqaMz+Lv+wMHIIerbatArp2iMcmkJnvbDxGPteMItw4+bfunX8JebYOG74fxvmV0dymbCgvPNIPjMz4PdbZ6b7oGXfgWL3k3IasUXTJIu86LsY9jsOYksDgeG3YqK9kDVEjic692893Fwlo6qO8uoA2OllBXYAhzSWl+glPIDvwLmAvuAD2itu3Pn3gR8FDCAT2mt/zKWFyaEEKKwGJ2daIsi7Ka35++aGWtw29w83vYUl1ZXk24pnoxxNhZDpTOEPRaq8xnjTNLcoNNkloaw8AKoWw7/d7X5p3YJZTULiftsQAojECjIwDgT7CbqgjmhFvAfN7aOFHk1Cyl/YxNRdw2EI5O/yAmyxZNkS/XYW7XlzJi5hNetkDh8cMBj2azmlcOR3iB4894uArEUANUlTtY2+jmp0c/axkpOqPH1G6YxpIObYdM34NkfwuUbj4zn1hqevp1t7pmcEEljXT7GjZKjZKuowNcDAasVz4FnYMn7Bj8xGYEHroM5p8J7fwR92xiuvQZ2/d7caLfiQ+axXX8wO1KsvJLmSDOVYaBmDOO5p0DG4zB/PypPwLLrQcikzMEec9aDdeSwdywZ438FdgGluZ9vBB7VWt+ilLox9/MNSqlFwGXAYqAeeEQpdaLWuvBmLwohhBiVTEcnyRInLofdHDMMOK1OTq47mSean+DyurqiCox7p965+2SMDzwD6Xj/DUbls+A9/wPfXQb7n0LVLsJWWQm0kinQlm3ZcISYS1HR+QbUjrO7Qe0SrEaKtNeBtTM+uQucBI4eA+zZsbdqy/HWLSfshUxHO2kjy46WMM++YdYHP7evi3AiA8DMcjenz69mXS4QnlvpGd+kvI5d5lebG+65EC79ufl7duAZOLSVg55TOIF91K9627hez0ic/iocPdDp9DFr/9NDB8b7nwEjCadvGLhJbe6pUL0QNt9pvnlUytx0V9EIc07l4IGH8Uc1joWjb384FbI+N+5kgkj5LMq0AfuegO69ZmA/CqMKjJVSDcD5wNeAz+YOXwSckfv+HmATcEPu+H1a6ySwVyn1OrAWeGZ0L0kIIUShyQQCxHx2aj21/QKD02edzt8O/o1E1Rzsr0/xZK1JZOSGe2RKPTitTvPg64+A1WEGAH2VzzYnwjU/B2uvxllVA7RiFGLtLaCiceI+RWn3PrNWejxmLAMg67XhiBZWYKyzWVwJjcVpGb4kYAiJtMFLoXJ6vGB0hlj+nw8Tzw3TmFft5fxldaxt9LNmrp+GirEN0xhS+y7zo/x/eRx+8T7430vNN1wvbwRPJT3NQQDcCxdOzvMdxVNZi9bQWnY87Htq6BP3PWH+b2CwlmZKwdqr4aHPQvMW8PjN2t2zvgwWC82RZpZHoKR+ejfgKq8XT6KbYGk1ZWDWRQPMG930x9FmjL8DfA4o6XOsVmvdCqC1blVK5bf1zgT+0ee85tyx/gtX6hrgGoDZs8fYbFoIIcQxlensJOhlwOjk0xpOA6DZm2BWSys6m0VZRthsVADyU+/slX0+9n39bzD7JHD6+p+slNkL+OBmALzV9cCLZLqmptXXRFmjPWRqHSidHXtHiryqE8zspkthS2fNCXFu9+QudJzSkTAWwOZ1jWqKWzyV4fn9QZ7NlUZsOxgklcnybZeV0qjB+1fOZO28KtY0VlBTMjVT8Lrat3NJnZ+vhnaz/sMPwn2Xw/0fBaBt/afwP30/iRnlvX14J5uvup4IEHLMgJYHIRYA7yAlD3ufhIa1R2qIj7bsUnjkZjNrXDYTlBWWfxCA1s59rE+Aq75hSl7DaFlKSvC0arrdFcwBeO3P4KnqbUM44vUjnaCUugBo11qPdqzRYL+lesABre/UWq/WWq+unqbdi0IIIUYn09lBhyfdu/Eur8pdxZLKJWy3taHTaYwCHnzRl9EdBMDpz/37E26B9h1D92ltWGN+HBvrxF85k7T1SAu7QmOPpci6c3mv8QbGFivULsZmN0sKCmn6XThgluw4hggiQz1pHt3Vxjf+uIuLv/8Uy25+mA/95Fl+sGkPybTBVSfP4UdXrsZeU4E3Bjef5uP8ZXVTFhSjNfu7XycVM7j9hdvRzlKzznjhu8FdwfOzltJ4WONcNDXZYoDSajM/GdW5jhcHBvkQvycIh1+CxoHlHFltjtDG6YOmD8KO38LzP4cTz4Xc5MhQ8xvA9LVqy7OVluJNQEinwTcDdBYaT+t9E/XwvoeHv34Uz7EeeLdS6l2ACyhVSv0CaFNK1eWyxXVAvtFhMzCrz/UNQPEUngkhhOhHa43RGaBtVnpAxhhg/cz1bLH8kPOAdEvLtLVqGguj28wYe2tyryffpm2owHjWWvNr83PU+mYQ8kBpR+F14cgmEtgyWXBZQFnGvTkNgLrlOHc+CFhJd3dhr5ve2tG8YLtZsuOsMD+o7owmeW5vV+9GuV2Hw2gNDquF5bPK+JfT57G2sZJVcyrwOY+EPY/MmEnJs52EX3+UsrUfm7oFR9vpDsX5n187+N6F23l6xdOsn7nerDNO9/DSE1/n3UGoXL52ypZg9/sBSPRkzGEd+582N5f2tf9pM4ic2z8w3nRwEzc+eSO/u+h35hvjNR8zNxHGO2Hllb3nJVoOAWCrmd7A2FFagScJ7clu85OP6OF+ZRS3v3D7sNePmDHWWt+ktW7QWs/F3FT3N631h4DfA1flTrsKeCD3/e+By5RSTqVUI3ACsHmMr0sIIUSByEYi6FSKoE8NyBgDHF9+PB1l5vfFsgEv09VNygrl5bnX8/ojUFI39MetdU1m67Pm56jx1BD2Qk/H4WO23tEyQmEArA7DHMQw1Efio1G3DI/VbEsWbj80CaubHIf3bANgd8LHO/7f46z+/x7hE/c+z33PHaDCa+fTZ53IL68+iZduPofffPwUNpy7gNNPrO4XFAO4Z52ABWjd8ejULrh9J/EeOxYN575o4c6X7jzymN1N+4vPAuBZvHTKlmAtLwcg2d1tfvqx/+8DT9r7hBk05ztmAEbW4Ntbv00sHeOF9hfMg1UnmG8gS2fC8WcDEE/HocP8BGW6M8au8ko8SQglQ+ZawcwYY76eQ9Hhf5cn0sf4FuDXSqmPAgeA9wNorXcopX4N7AQywCelI4UQQhSvTKf5D17QC7Xegf/ozSmdQ0fuU+10S+FlUQfT03mYiAdqvLVgZOCNTWYGbaiaVYfH7PBwcDO1yy5mu0eRLsBSimw4BIDdmoLqxRO72Yxl+OzmP9+hjmYGviWaelprDnTFe7PBm/d2cfobm/kg8Hykgllz3bxvZQNrG/0snVk28jCNPsrq5gLQuX/71Cw+r30X8bS5rgX7MzS/upUtK7awesZqgokgjtfNQM01haUU+cA4GwzBKe+AJ75ptllzlR05ad+T5qY7m7P30J/2/Yk3QmaJxM7ATt7Z+E7zgff9GFLx3vZnOwM78UfMqlnbNLcwdJX5cWYgFAuY49A9lWbnDKAt3kYmmxn2+jEFxlrrTZjdJ9BaB4Czhjjva5gdLIQQQhS5TGcHAKFBNt+BGRj3uBQZt6NoMsY9gXbCHswexi3PQyIIxw36T9oRDWtg2/9S46oi7AHdHjwWSx2TRLcZrDuJjr++OK9mEeV2s7Y02nls3vBorXm9PdovED4cNrPWFR47axv9LG7vAeDzV72X2RMoP6hsOJ4gEAyGzRrzcXS4GJWOXSSNI/XL5+1ycudLd7J6xmqeb3+exsOabE0ltly5w1SwlJSQtSgIhc1+vvq/zM2kJ5gZX2KB3MjkL/Zek8lm+OGLP+TEihOxWWzsDOw8ckN3hfknZ0dgB/6IRpWWTPsmzfwGxlhXO6xdCTNX9j52MDKwb/XRZPKdEEKIYRmd/cdBH81j91DjqSHij1JeJNPvMoEAEbfiRE817PiTWY8774zhL5q1Fp77EVWRdsJehTUYRWs9vr62UyTcab4x8djSUDXBwNjuwl8zmwRhegLtI58/DkZWs6s13BsEb97XRVdumEZNiZN18yp7B2ocV20O0/jj1igA/obxjYPO88+cRxCIJa1mfe3Scba2G0n7LtKGC0jiWrqUd+zcz89PfpqXO17m+bbnaWoD3/JlU/PcOcpiIeNzYY30YNSvxGqxwf6njgTG+dKKuaf1XvOHPX9gf3g/3z3zuzx16Cn+uPePZHUWixqYld/RuYPVcSeOGdNfh24tMbvKJEID+4w3R5pHvF4CYyGEEMPKl1LoilLctsGzQY2ljXSWvcyMIskYZ4NBwhW5jPHrj8DM1WZf1uHkai9th7aSKfNhTYXR8TjK6z0GKx6daMCsey6xGRPPGAPV9Ut51fEUqe7JKRtJG1lePhRi894unn0jwJZ93USS5kfbs/xuzpxfw7p5ftY1+pntH3yYRjpiTuLzllVNaC32KnOTaCppn7rAWGto30U2NQOtwH/llSQ2bGBNSwl3vnwnoe423tWl8SyeYNnLKGRLvZTEE3TrJFX1K/v3M977JNi9vdnVtJHmf176HxZXLubkcA3lX3+ch86PcDBykDmlA/sU7wjs4IKYA1vj9E+CtJSYnYVToYHtFJujzdjU8KGvBMZCCCGGlensxLAoSquG/qh5TukcDnq2MP+14giMLaEY4ZlQrS1w6Hk446aRL6poNPuhNm/B4i8HwmS6unAUUGAc7+7AA5TaDKiaWEYVwDtjBTH3U+MeZpJIG2w7GDQD4b0Bnt8fpCdt1i0fV+3lguX1nDTPHKZRXz6Kj+C1xogn6HEolG1iIYzF5SLhtpJN5QLjqRA6CKkoKpEl6bFTcvY7sJSU8KE36vnUzE0saAalwbVwdD12J8JSXoYvHKAt1kbVnFPgmTvMOmGHx6wvnn1S7/jw377+Ww5FD/GFdV8gcOuPcO8+xPGtFnYGdg4IjEPJEAciBygLOwpiRLo1FxinI6EBjx2MHKTeV882tg15vQTGQgghhpUJdBItsVLrG/pj0rllc3mlJE02nMSIRrH6fEOeO910KoUtniTlc+Pc/zSg4fgR6ovhyKCP5s3YKxcAB8y+zbNmjXjpsZIIduIBysuqBw4qGQdVv5yEC1T36IaZRJMZnt/f3RsIv3gwRMrIohQsmFHKpWtmsa7Rz5pGP1U+58g3PFo8AMksKZd97NcOIlnmxhpPmCObhxp6MRHtrwBgjWfI+NxYXC5Kz38X+ne/w3+Km7mHYwC4Fk99YOzwV1LatofWWCuL56yHp75jTnOsWQgdr8DyfwIgaST5n5f+h+XVy1lnOY49j5pdO2Z3WftvwMvZGdiJM6VxhOLYZw6Y53bM5TPGRjgy4DFzOl8FfxzmegmMhRBCDCvT2Um3Rw/akSJvTukc/t7bmaIF64kTz1ZOlUxuWIUuL4U9fzM3EdWvGN3Fs9bAa3/Cc8Ip5r26BtYxTqd0sJuYE+rzbaomasZSUi6NJ9Iz6MOheJrn9plB8Oa9XWxvCWNkNVaLYunMMj6yfi5rG/2snuOnzDMJwWzgdVTKQto9OYFxtqIUdyRGGrAfeBoWXjgp9+3VvpM04IwbZEvM8dLl73kPwft+xae6TyLQ/jQWfzm2mprh7zMJ3JW1+HrgjVgrzHu3WVe//2mzHzH0DvbY+NpG2uPtfP3UrxP81a8hm0W53SyMeNjUdwNezo7ADhpyt3AeP4G+2ZMknzHW0YF7AA5GDvLpnxt8Y5jrJTAWQggxrFR7O12e7KAdKfIaSxvpKDX/Acq0tkIBB8ZGLvtpq6iAQ1th1knmpLfRaDC7IJS4zNcab2+lZEpWOT5GKETMBaXVk9T6y1VG1m3B0ZYGoCOSNAPhN8zxyq+2RcxhGjYLTbPKufaM41jb6Gfl7Aq8zikIMTp3Y0tCxjs5U+osVZWUt7XQ7vQwc/9UBMa76C6rx5fQqDrzN8W1bBmO445j1dYw6Z45OBfXHZMNnG5/DaVxaI22mG3aZiw1N+BF28BZCjOWk9VZfvzyj1kzYw1rKlfw+m/+Dd8ZZ2CEQszpbmZnYOeADXg7OnewPFoBdOI47rgpfx0jyWeMXYkssXQMn8P85CSUDBFOhfF2D/+/dQmMhRBCDCvd2UGwDuYO0pEir85XR7DcBhgF37LNyGV5nX4/tGyCRReP/uL6FaAsVCizM0Ko7SDTX1XZRyhklj7ULJiU27UEezDcTtzxBG//1ibe6DA/+nfbrayeW8H5S+tY2+hn+axyXPZRvrmYiMBu7EmF9k9OqY6zuhZ77GVa6xYzc/9TI18wVu07CVQ24uvZi7WsHAClFOXvfQ/t37wNLBbKzhxFGc8ksPkrsGUh0JUbcDFnPWy5y6yDnnMKWG20xw7T2dPJJ5Z/gshf/oIRCFBx+eVE/vJnKh5+lWg6OWAD3o7ADj4WKUPZQzgKoKzI4vOhlcKT0ASTwd7A+FD0EM6UxhZLDnu9BMZCCCGGpLNZdFeQ0PEM2qotz2axUVo3G8P6esEHxpkuM2Ps8TjMEbh1y0d/sdMHtYupiTQTd4C1wMZCq0iMtFND9dgDY601+wJxNu8N9PYRbu7u4SblZEEywcKyBJeuXsDaRj9LZpZht45+mMZkyXTsxpUCXTI5gbFvRgOZJOwpnQMv/9/AoRcTkTWg8zW6lr0bX2IvjoojXU9KL7yQ9v/3bTAMXIumvr4YwFpu9h0OteV6+c45Bf7xA+jeB2uuBo60M2soaaD7F7fjmDMH7yknk3ztNWyhGL64td8GvEBPgNZYK7M65+CYN2/CGyIng7JY0G4n3mSSUDJEQ0kDYJZR+AeWHQ9w7H+rhRBCFA0jFEIZBkGvMksp0j3w55sgNHCs6uzyuQTLbAU//S7SYa691JGbgDWWwBigYQ21h18h7IFkx9T09z1a4pVX6LrnnhHPs8VSZJx6VB0pslnNq4cj/PyZfVz3v8+z7uuPcuZtm7jh/pd5/NUOls4s4z8uXERd41wAvrA0yL+cfhwrZldMS1AMEOrejTdxZIjDRJXXmxPRAlmv+Sbp4OZJuS9gBpyZBF0eP54EuP3VvQ/Za2rwnXoqcGw23gHYqs32domONvPA7FOOPJirL26OmoFx3cEeel58kYrLP4iyWHAeNw+AOd39B33sCOwAoLQlhLMAyijylM+LJwndySObRpsjzb3T+YYz/aG9EEKIgpUf7hHyKqo91fDaX80sU8er8KH7+41Qnls2l7YSg5ktA4PmQhJpP0QWKDeCZvu1sU48a1hLzdaf8rzXi/MYbb5r/t+7Sf/6AdwrVuBeNvQwCGePAXUWcJcPeMzIana2hHs3yj23r4vuuFk7PKPUxcnHmcM01jVWcly1t7fu9emd84EX6d6zmfp1l03FyzN/nx7+Elz4XSgdopb98MsEgwfwJCvJlA18fePhrjWfKxLLgMUO+/5+ZOjFRLWbAWQw68ACeP39i26qrr8eR2PjMevkYKsyA2NLV4hEJoHLWwnVCyHSCrVLAbPcwKIs2H/3CEmPh7KLLwborR1e0VPTPzDu3IErBZbDnThPmP6Nd3mW0hI8yS6CyWDvseZoM7OTXmD4tLEExkIIIYaUyQXG+MuxW+zQnMuo7XkUXvo1LL+099y5pXNpK9UkD408XWo6JTrbSbugJnzQzBaPdeNTwxpcWhP3WlHB8NQs8ij79r/ITGDPf/8/lvz33YOeo7XGndCo3Ma0VCbLy4eCvWURW/Z1E80N05hT6eEdC2vNqXLzKmmocA+5Aayk3gx4QodenfTX1evljbD7L/Cbq+CqB8Hm6P94KgYb/5mgw49Hg7OsYvD7jFE+WOzpbDeHW4ynn/G2X8ILP4fLfwOOPj2tc63aYgmzb7Pb37/zhHvJYtxLpn6wR54191rLY9AWbzPLIc68ySwfsZifADRHmmmkiugf/0TZxRf3ZubtdXUop5MFYS+/67MBb0dgB2uTM4H9BbHxLs9WUoYnYG64yzsYOciKRAkSGAshxDGUjcWI/eMf+N7+9oIaFTxe+al3jnzj/oPPmcGk1Ql/vtHs/+s1/8GdWzqXHaWQ3RFAp9Mo++S01JpsqUAHEQ8s6HwD1r5z5AuOVnkcuCvIeCzYD8cnf4GDyQXgatOz9Ozfh3vO3IGndHVhN6DH7uaDP/oHzx/oJpHOAnBCjY+Lmup7M8Izykbf1aG8ZhZRINoxhZ8E7Ps7uMrh4LPw1y/BO/+r/+N/ugE6dxNZuwEPv8BdPrGpd3n5wDjT0QHLzoBnvm+WC9lHMWwEzHP/+mWItcMT34R33HzksfadUD6HeND8ON9aNjnlH+Nl8/vRSlEe1bTGWs3AeNFF/c45FD3Eudtt6GSSig9+sPe4slpxNDZSF8gSTUc5GDnI7JLZbO/czofiDcD+gmjVlucoK8fbomlL9C+leFfcgbVs+BpyqTEWQohJFHrwIZo/eR3xf/xjupcyKfIZY1/NTDAy0PI8zD4Z3n07JCNmcJwzp3QOHWUKldWk29qma8kjygZDRDxQnU6Ovb4Yegd9aJeBK5pCZ7OTv8ij2LrD7KmDrIKt3/0yAJFEmk2vtnPrn1/hff/9NF+85f8D4JDhJtST5p/WzuaHH1rF1i++g79+9nS+9p6lXNQ0c0xBMUBF7WwAesJhSCcm94WBGVwe2gIrr4STroVnf2hmkPO2329mZN/2WSJWM6jx+ien7681FywSCKIb1kA2Da0vjv4G2+41g+L6FfD098ySkLz2XVCziGTQfHNpnaTyj/FSNhuWijLKY9AaHXwfQHP4IKufDuBZswbX/P516s55jZS0mBnYnYGdtMXbCCQCHN/tALsdx+zZU/4aRstaUoovaektpUhn0xyOHaYyqrCNMJ1PAmMhhJhE6WZzx3f3L++b5pVMjkxHBykrVFbNgrbtkI6b099qFsJp/w4v/wZe+wsAfpefuN8cYlDInSlUKELca8WpGV9gDNCwFpstiTVrblCcaq5Yhqw/y64FWXwPP8dHb/0py//zYT780+f49RMv8onQbaxJ/h6Ak972Dh761Nv4jwsXc96SGVSOZ8JcH+5cbWwqaemtm51Uzc+BkYK5b4Ozv2K+8fr99dC209zA9odPm79zZ9xETyj3Rq1icprkKauVTJkHbyRNuDbX+3m0G/CMNDz1XbO39eUbweGDh/4NtIZMCgK7oWZh70AZa/kkdbuYAHtVjRkYxwYGxolMgkRXB77OGL6z3j7gcce846C1Ha9hZ2dgJzs6zY131W1JnHPnFkRHijxriQ9P8kgpxeHoYQxtUBpMYZshgbEQQhwz6UNmQBh59FHSbcemY8FUire3EPTBDF+dGcAAzDKHXHDqZ83NOw9+FpIRlFK4Gsw+poUcGNvCcTIeCzjLoGLu+G4yaw0ul1k7OlWdKdrDCR58qYUv/982vD0QsPvYNnc1zgyct/0WblvRzl/e0c7m8i/wemIbyzY5CM6r4qR/+sykrsPi9ZCxQiZlgcMvTeq9AbOMQllg9klgtcP77wZnCfzqQ7Dxn81z3vcTsNpJdJubHSerlAJA+8vNYJG0+ftw8NnRXbj9fggegLf9m1lOdNaXYd+T5vGuPZDNQM1CdMgsgxnpI/xjwV5dTXXcNmhg3BJt6W1nZp8xcAOkc14jaM26zGwzMA7swKZsOA60F9TGOwBLSSnuZJbuhPn7cjBqJiwcgSj22qHbToIExkIIManSLS3YZ8+GbJbgb34z3cuZsJ72VkKeXA/jg5vBNwPKck38bQ6zpCJ8CB75TwAqZpmjiDOthdmyTWttlj84NdQtG/vGu7z6lXgdZmAcaH1jUtbW3B3n/55v5oaNL3HmbZtY+/VHue5/X+DFLY9iy4Kjqob3fOp7tC6uZtZ2C0t2bWD+3z/N/3gqmP9nJ8rtZtVdv8HqmpypcHlKKRJeOypphdYpCozrloMrV4NbMgPefw8E95uTCS/8LlSYfXNT4Vy9bunkzRu0V1WZdbfRVjP72/ycmfUdTjYLf/821CyGE881j636MNSvhL98Hg6YpVS6egFEYrk1T2+NMZg11RVxNWhg3Bw90s7MVjuwVCW/ua4pXsXOwE5e7nyZhd55ZA4dKqiNd2BmjC1Z6ImYvy/NkWashsbSHRqxlKJw8t5CCPEmkG5txXvKKWTmzCH4619T9S/XFOwmtNHIdHYS9CmO89aZHSlmrekfTM5aC2s+Clt+AqffQEPVPIIe8DUfmL5FDyMbiWDNgtU2zvriPFcpZZXVQJzuw/sYa3Wl1pq9nbHejhGb93ZxKNgDQJnbzpq5fj64djZrG/04tj4P/wdz5i9kzVw/bZ/+D7quvo4/R47n8dMWU/7fz1AdsdD48x/hmDF8Nmy80j4XlqRx5FODSbtxApq3wNqr+x+fczK878cQboUl7+09bITNj8YtkxhkumrrqHjlRQ7GWs3f55d/bWaCK+YMfdGrf4SOV8xMdv5/DxYrnP8t+NHb4a//AcpKpLQOT4+B4XYUxP8P2Kqr8EUyHB6kxrg50ozfHOiIfZDg0TFnDijFcUEH0YooWw5v4cP2t4HeifP4E6Z66WNiKTF/P5LhIGC+tpq4HTCwj1BKIYGxEEJMEp1KkWlvx15XR8nZZ9N87bVEHnuM0nPOme6ljV8gSKgRarGa9Z6rPzrwnJVXwnM/htf+zFz/XDrLoPzA3mO+1NHIBHJdNhwZqGua0L0qZy3EYCuRwyO3p8tmNa+1R3j2DTMIfnZvF51RczRtlc/BusZKrjltHmsb/cyvLcFiOfLm4x+/3U4ZUDJnCQA1p76d5uPqWPxUK1vbn+HUvZrar96Md+WqCb2e4RilHhyxKBx+GeJd4PGPfNFoND8HRtKsLz7a4vcMOJSNmJGb1Tc5k+8AvLUzKY/C5mgLNLzjyLqGCoy1hie/BRWNA8eJz1xpvlF87sdQdSJdmRi+HsiWeAe91bFmrarCmskS6mxFa92vc05ztJmamA1UGlt19YBrLS4X9oYGqjtS0AgZnWFR2MzcO48vvIwxQCYUBMxWbfMzVUAzthFKKSQwFkKISZJuawOtsc+sx3f6adjq6+j+5S+LNjDW6TT2UIxQiQ1/+2vmwXx9cV8zlpnlFa88xNzz/pOnSxVzCrSUIpgbh+txZiaWMQZqTjyNQ2wl0TrwTUDGyLKzNcyzb5hB8HP7ugj1mMM06stcvO2EKtY2+lnb6GdelXfY1n6Rw/spAyrqzeljSinmXftZDv/bBuo3a8o+eBn+939gQq9lJKqsFE9nG3EFnn1/h0XvHt2F2az5SYOrHGoGGVO9/ylQFl7ylnDj/72Lu8+7mxrPMB0nojHSTuukZl/t1dXYshDoOAArl4DdY5YNLb1k8Av2Pm52Z7nwu2AdJIx6+xdh5++hromuRBe+BKhJLP2YCFuVGfB6IykCiQBV7iO12s2RZlb3uLFWlg759+ucNw91sBXHSQ5S2RQzO3TBdaQAsJSYf9/WeIpEJkFztJlTUmVAs2SMhRDiWMlvvHsg+jSXcQEVH7iUju98h+Qbe82NK0Um36rN+P/ZO+/4qOv7jz+/ty+5kdxl78EKew9BVFBQcS/Uuq1aa21rq612OFq11l+t1Wprax04cVsBRUAQAdkQNgSy97q73N7f3x/fXCAkQAKBHPSej0cewH3HfY6s170/7/frlWREVrtJSgbrrsoqCDBkDmx6gxz1S/zXCLJyS5eKVDRgbawEQKeRS37EJ4CxYDr7tM8TaKrDFwyxvaatoxq8ucKCyy/1IOcnxXPhsLQOIZzd7tzRI8JhXJZWQEFSWkHHwwmzL8Tyz1dQJCWT/shvTuh19AR5QiJ6D7SqdcSVf3dsYdxaCtvmw/YPpF7h+BT4+fau/sAVqyFtBFts+6l2VLOwbCF3DL/jyOtwegnGnZjLRpd7tnsZuxpqJKGbOe5gkE13rHoO9Okw6obuj2sT4UerQKGhtWkj8R4RRXpCn675eFF0hHyINLgaOgnjWmctF7sUKFOO/MZEVVCAa906BhuHsK9tP7paK8G83KhoEzkUebswjveK2Hw2ahw1ZHqkAcFYj3GMGDFinCIC7VXSty1fI9s3mhuuuZrml1/G9sF8Uh95pJ9X13uCzc0AyJOS24M9RoLyCINdQ+bA+lfQVn6PL9mA3N9GyGpFYeqjLfc+wtFUiw5ISM6SekKPE7c/yNY2E/448DZZGPn4EnxByc94cKqeq8ZmdQjhVMMJDMNZywl4pIEoTfLBX+iCQkH+xx8jqNWn5M2H2mRG6YGWjBFkl6888onWCvjkrnZhKUDBuTD6Rvj2T7D5TZh878FzA16pMjvxLmqcUjvKorJFRxTG+637UXkCoOtbd4dIFdXf1O4ukjUBvn+x+6CPuq1Q/h3MehIURxHoemm73uKxYPKCOtHcp2s+XhTJ7cLYKVm2DU+S2nNEUaTGUUOCQ45iwJGFo7qwANHnY27CDErSx+F/exmaoUNPydp7Q6RiHOeDCnsFzoCTFKcMIS6u49iRiAnjGDFixOgjAnVSMpjFAK9uf5Wrrr4KwwUXYPv0M5J/9jNkcb2oFEYBwXahoElJhcrPYfztRz455yxpu3zvIpTpGUAbgdq6qBPG7pYGdEBSe79uT7F7A2yusLYPy7WyvaaNYFjkZa0MjSfATZNzJSGcZyIxXnXsG/aUuq2EfDJ8KgGZurMQk/Wx+8TRiDOnIoah0TgAyr4Hex0YMrqeuOYFqQ/5gj/AiGsPnlOxWnJxGHfbQbFZu1nqL86dSm3NAgBKrCWUWEsYlDioy60/LvmYAT4Bg7mrldiJEBGLWGwEQgGU2RMlq7W6rZB7VueTN74GyngYe2uP7m3xWsjxgDqx7+zlTgTFIbHQh4Z82Hw23EE38TZlt44UEVQF0q7FjPAgLh0xmX3Vb2C8rIdtNaeQQ4XxzpadABjbgihTU4/5RjJm1xYjRowYfUSgrg6nQYlBl4TVZ+WtXW+ReOMNhB0O7F9+2d/L6zW+BukXpzFBB0GPVEk7EnIFDL4IShYTnyX1G/rrTmKE8HHib6zGp4CUvMlHPc/i8rN4ZwN/WLCbS/6+itFPLOH2Nzfy2uoyBEHgrukFvHH7BIQELVoP/P78LGYPS+tbUQxQX4zgleHV9237QG/RJUkV0DZ5+xud8lVdTwr6Yddn0u7B1J91Fs7nPgzORtg87+BjFasBAXKnYG2q5p7d6ShFGYvKFnW5tSfoYUHZAtLCetTGxD58ZQfFotEl0uBuOPh1fnjQh7dN8igecc1Ba7lj0OppQe8FZULfrvl4kRmk/uGkw7yMaxw1KIMiCoenW0eKCKp8qSXMX1aOv6wMRDHqBu/gYCtFnA92NO8AQGtxH7ONAmIV4xgxYsToMwJ1dTQbYFrmNFwBF/N2z+O6K69DPXAAts8/J+GaIwzzRCm2unJCAiQp/NID3Q3eHcqQObDtfZITpMp4W9UBjMw+yavsHaGWZpxxoM7s7ODQaPd2VIM3lFsoaZTcD9QKGWNzErl/xkAmFZgYk52IVnWwBWOxyUz8ARfh2k3ICrumhZ0w9dtQ+mQEDP2726BPysQBOLwhqYe2fCWMmtv5pNLl4LFKleLDyZsGudMOqRprpDCMtOGImgQyt9Qwc6EPe9ZIviz/kp+N/Rky4WDtbmnlUhx+B6agqU+t2kCqLopKBQnOEA2uBrLTJoCpoKsw3v6hlPx4tJ2Tw3C0NUv2gFEQ7gHS4KY8OYl0n4uNhwpjZw2J7eEeipQji0dFYiJykwlfWWlHpV0dZR7GAIJGAwoFcb4Qa9srxrJWG8rCwce8NiaMY8SI0e+IgQAoFFE3qNVb/HV1NOiC5BnzmJE9g+XVy3lt52vcPHoMjuXL+3t5vcZVV4NDB5n2etBngDHr6BcUzgCFhixPPV4lBCr399rf92QjtDnwaqBans36zTVsKG9lfbmFylY3ADq1gnG5iVwxJpNJ+SZGZCagUhx5c1WZlo3OW0Vr6UqS+1oYiyKh+m1o3PGIGf3raqBsb4nxtjZL1mplKyXbskO/Z3d8JInmI/0/nPtrmHcpbJknieOajTD+Dlq9rejbJMeO8+oSeN+wmy2NWxifNr7j0o/2fUSeIQ+Fq7nDiquvEAQBWZKJBFfzwSpq1kQo/ebgaxRF2PQ6ZIyRPnqIu1VqR4qGOOgIiqRkzG5vp4pxrbO2w8P4WFVVdUEB/rJyFOYkUCgkf+MoQxAEZHo98V4bTZ4mUtRJhJpbUPTA5zvWShEjRox+JeRwUDrnEpqf/1t/L+WEEMNhAvX1NBshz5BHQUIBlxVexgd7P8CbbCDU2krY4+nvZfYKf1Mj1njIaNwrBXscC1U8FM4gr2ojLQbw1FSf/EX2AFEUOdDk5L31VcgcPjxagbOfW82DH21jye5GBqXq+d2cIhb8ZBrFj17AvDsm8uNzBzAu13RUUQwQlyalADaVHsXF4HixlmMJONC7QZ7Yv1vx8oQEAHyWFsifDvYasByS+OdzSqEXw66UEhG7I+9sqRd99fNQ+T0EvZA3rT1YQhowTN5eg1ahZVH5wXaK/db9FDcXc132pVJAy0loS1Alp0oDaZG+2+wJ4GqWhglBiolu2g3jel4tBvDbpEjiaKkYg9Q6Ymx3pYhQ46ghxyt5LSuP0mMMUgKev7QU34EDqHJzEVR93D7UR8j1egwBqf47mDQIBo9p1QaxinGMGDH6mcanniZQVYV39+7+XsoJEWptRfAHaDbIyDVIFZQfj/oxi8oWsSKwkylIrhXqgoKj3yiKEFtasekFUi1VMP6enl00ZA7p+75kjTELXVPzyV3gEQiHRfY2ODqqwRvKLbS6/IDI2x6RtkQ1f7x8GBPzzQxM0XUK0+gthlRJGFtq93etoJ4odcU0yeQY3OA39+/wVkQY+62tktMESO0UEcu7fV9JbQbdtVFEEASpavzW5bDol4AAOVOoa1jXsY0fKC3jEt0sFld8zSMTH0ElV/HJ/k9QypTMrEmgLRwmfupZR36O40SZnIK5UcbeQyvGIFW1Tfmw6Q1QG2D41b26b9DWHmEdZcI4brMfi9eJN+hFo9BQ46xhpE8P2HtQMc7H1taGZ/Nm4iZNOjWLPg7kej0GfxMQpDAovZmK9RjHiBEjqnF88w1tn3+OoFQSqKvr7+WcEJH1txgFsvWSWErXpTN38FwWV70jCePa2tNKGCstDryD1Sjh2P3FEQZdiFyQ4TcoUZa1nczldRAIhdlVZ5eEcJkUpmH3BgHITNByzuBkJuWbmGJy0vIlxCebuGZKXp88d2JaLm1Am8svVVBP0Bu5E/XFtKAmJQSK5JMT9dxT5AYDogAhmw3RVIigz5DaKca3W6vt+BAMWZB99KFG8s+RzqleB6kjIM5ErbOWDKeIPDODUG0dFzam8pHawaraVUzNmMoXpV9wfu75hD9egzw5Ce2Ynrcy9BRFUhKJTuFge0HKUMl9onoDDDhfGiocezOoe97GEQgFkDmkFh1ZlAljpd2DLCyjwdVAnjGPGkcNsz1qBK32mHZmqgLpazxks0Vlf3EEmV6PrkHa8cnxSD36MWEcI0aMqCVosVD/6GOoi4qIGzMG26efRmUgRE+JeBgLqcloFAdttO4aeRcrNn8MODsCQE4Hwn4/GqcfUR8PclXPU+LikyBnCmJlFVpHCNHv7/OtVm9ACtNYX9bKhgoLmyutFAV2M0BWR0viOcwZKVmnTcgzkZXYPrTWsBPL0idw+UHZhyIzMT2PNsDtl0siqi+FcV0xFnUGKTjRJ2f23X2PA0GhIBSvQe30YQ84MOZPhwNLpWQ7jwUOfANn3Q+yY3RoCoLkUPH2FZA3FZD6W0c4ZegvOgvnqtWk72zANNXEorJFuAIuHH4H12ZfhnPVT0m48gqEYz3HcaBISiLOHaTR3v49KldAVnvQR/F7kq1cL9soWr2t6LzttzMm9O2CTwBFchKCKGJwS17GWfosKezDmYUyJeWYP4MPDSuKRkeKCHK9nvgK6e+pLknuKnvQYxwTxjFixDjliKJIw+NPELbbyXj9ddzr1iJ6vYRsNhT93Et5vEREry67c8KdSWNi/LALCMk+I1AbffZlRyLUHu6h0LRHJx8tzOBwhsxBtf45ZKIaf1MT6qxjDO0dA7c/yJZKG+vbWyOKq23428M0hqTpuXZcFsN3/Rqn38afPPOQBWaD9gbQXwBl38KaF6H0G5rDRiAeTcbAE1rPoagi4RB+lbTtPvoIaWhHIuiD7/4C2ZNg4PkHHxdFqN+GUzkIcGJMi4IxRoMevcdHrbMWY8E5sH0+NO2S+m/F0NHbKA6l4Fy47O9QcB4AdW1VGFxhFCmpxE+biuPrJVx0/eV8VPop1Y5q8gx5DCpxUefxoD9J8eqSWAR3c/3BN+hZE6V+aG+b9PlJ6533tcVrQdc+ViA39q2TxokQSfqLhHw0uBoIiSEMbcGeVVTT0xG0WkSPB9WAASd7uceNTK9H45V+TiQ6pOjqnvTqx4RxjBgxTjn2hYtwLFlC8i9/gWbwIPxVUkxvoLbutBXG/rpa3GpIS+taQclPLKTFAPqaqn5Y2fHhbZQq4HFyB2TP6d3Fgy9Gr/kzoKa5ci9ZvRTGbZ4AmystrC+T4pV31kphGnKZwPAMA7dOyWVivpkJeYkkxKmgrYYF//CR1xjHc/cO4pdV65DtWQAKjTTgFZ8CM36P1ZeA8cPn0Kf2XfVVptcTkgsEg5qjxwh3h7MJPrhZaitQxsEPl0HqMOmYtQK8NtxSIwuqfu4xBlAkJKB3t1DnrGNo/nTpwfLvYPcXkFx0cO3HQhBg7C0d/7TXVyOIoEhJQT1wIG0ff8Icz0DeDfvZa9nLg+MfxPn6UuSJicSNH3+UGx8/ES9jTZsXR8CBQWWQ2ofEkPS5OOfhXt/T4rWg84qIKuUpDWM5FpHXanJLrSOR1EGN1YVi4LGFsSCTocrPw7evBFVe3slc6gkh1+tQt7dUxdu8hFNSerTbEBPGMWLEOKUEGhtp+OMf0Y4ejfkOqT9RmSEFAQTq69AO7+Ev1yjDXV1JswHyjHldjuUZ82g2CqTUVJzydR0vLdX7ATCopGSyXmHKx5ycDLhprthD1tTzj3p6i9PHxnJLx6DcngY7oggquYxR2UbuOaeAiflmxuUmolN3/bUlHliOoU1A54Wh79Xw+KNX81jWechLFkvWWiPnstW6hw/e/CV3AykZfVflEgQBj16F4BGhcRf4XZI7x7Go3w7v3wDuVpjzHKx8Fj64Ce7+FjRGqN8GgN8tVbzkUZAgqElNJ2HnfmqdtZB7PpgKofh9aNwBMx89rsHDUDjUkbCoSEkmbtw4kMtJ3VFPTk4O9a56Ls2aTfOKFzHMuRhBcXJkS0cinFOk0dUoCeNI0IcmAYZdccRrl1Yu5YsDX/DijBc7tSG0elrReUAWRdViAEWytMuR7dNR76ynNq4WRBFZa9tRwz0OJW7MWGRKFbIodaQAkOkNKLxBJiVPQd5sQ9aDNgqICeMYMWKcYlr//Sqiz0fGM39CkEtBCZuoJAkInsYDeN66aloMAvmGvC7H8o357DNAqK6+64VRirW2FC2QrApC7pReX58xdBoulmCvLOlyrL7Nw4ZDhPCBJslAVaOUMS43kZ/PHMTEfBNjchLQKOVdrj+clv1fk+gA14AMCg7UUfnKAn7zE5Gn5vyFYDjIS1tf4p2d87h/h1S1M6XnH+OOvSNojEfptCGKYYTaLZB/9tEv2P1f+OxHkufvHYshYzSkDIN5l8Bn98Lcd6C+GGRKwnZpL/5kWJT1Fk1qBonrBDY721uCCs6RvH2h124NEZrcTRjsUlVPmZqK3GBAO2oUrtWreeSFR2h2N6PcvIew241+1skLi4mIxQQXNLobGZg4EOJMMOgiybotEmPdDZ/u/5TVtavZZ93HENOQjselijEooqi/GEBhNgOQ6Y9ns6tBCvfwKCDgO2q4x6GkPvIwYih0Mpd5wkT8rv911l8pf2Eu2mE9K7ocUxgLgqABvgPU7ed/LIriY4IgmIAPgDygArhOFEVr+zWPAHcCIeCnoih+3cvXEyNGjDMU9+bNxI0b17EFt7xqOT/b+CveVckJnEbC8XDE+iZaBsO5hq5m99n6bFoT5Mh32gn7/VFdZYngqq9BKYO0tDxJwPWS9FFXsUO1BE/lXipbXR0ieEO5hSqLNKmvVysYn5fI1WOzmJhvYkSm8Zi+wV0Ih6g+sA5tSIXvwukkhU2c949/8K/PFvGzoItqRzWtdWW8sDSJlD2NJNxwfd9v/yYa0TVacAoC+ur1RxfGxe/B5/dK/atz3wF9uxDJnQKznoTFD8Oa56GuGFKKoMJJSCFDFt+/yXcgVXT1HpEGq7T1Tv50SRhnT4LEvOO6Z42z5mCwRIrkn6s7exrNL/6dydqhKDJN1P3nYWQGA/GTeuiMchx09N26oNHVePDAjfOPel0wHGRL4xYAVteu7iKM870CipT+f1NzKDKtFplOR4pHRb2rnkRNIgODJqAexTE8jCMICsVJq973FTK9VKkPORwEG5tQzJjZo+t68qp8wAxRFJ2CICiB1YIgfAVcBXwjiuIzgiA8DDwM/FoQhKHA9cAwIANYJgjCIFEUo/utRYwYMU46IacLX0kJ+h/9CJCM+x9Z9QgIArYEOabTtGIccjqRu7xYEhSkx6dDKAByZcdxpUxJKNWEIDYRrK+PyqSow/E31GPTwZCc3rVRRMI0NjRkkqkDd00j5/zftwAkximZmG/i1rPymJRvoijdgPwEPIQBqN9Go8NPHipMuYNJuvhaPDt2cNey7/lt6kpSNWb+9IkBucNG2lNPkXD1VSf2fN2gMJsxlpfTlFqE/sA3MP3BI5+8/hVIGwm3Lew60DjpR9IA3/InQa4iMOIaVI4VBIzxUeHWomwXro56aSaA/HMkb9+xtx71uu3N24lTxDEgsWsLS62zFpNDBLm8o10kfto0ml94Edea7zHMnoVjxQr0M2ac1CAJmVqNzKAnwemiyd3U4+t2t+7GHXQjE2Ssrl3ND0f8sOOYxWthtE8eVal3ERRJSSS6ocHVgF6lZ2QwEajvcSvF6YCsvWIcqKlB9Hp7FO4BPRDGoiiKQPv7OZTtHyJwOXBu++PzgG+BX7c/Pl8URR9QLgjCAWAisLZnLyVGjBhnKt4d2yEcRjtmDDavjfuX30+cMo5pmdOo139N9mkqjCMexmJqstTX+tHtcNEzBz1eod2ZoYlAXd1pIYxpbsIZD8q8aUc9LRQW2VNv76gGb6iwYHH5Afi7TobOFeCPlw9jcoGZwuQTC9PoltLl2LzSr7KU/CIEuZzM/3uW8quv4en/OhCcFpRpaWT9+z9ohg7t2+duR52UgsINjTkTKNz4NjibQZfc9URbtdQ7fMEfunf5EAS49EVo3A3Ne2hJLsTgXoFo7N846AiRiq63qUFybogzwUMHJDu/wxBFkfUN6/nXtn+xqXETBcYC/nvFf7ucV+esI9EptTJEBqM0w4YhT0zEtXoV8gQjYbv9pLlRHIoiKZkUr58D7sZjn9zOhgZp4PLywstZULoAh9+BXiV9vlo9kl1bNIV7RFAkJaF3NOEP+9ln3cccj+S40RNXitMFeXvF2Lf/AACK1J71GPdoz0oQBLkgCMVAE7BUFMX1QKooivUA7X9G6u+ZwKE5oDXtjx1+z7sFQdgkCMKm5ub+SUeKEeN0QBRFHMuWEbLb+3spJ4x761YQBBQjivjlyl/S7G7mhfNeYGLaRBr1YXx1p4+d2aFEhLE2Mxt2fCR5ni58ABY9KFWPgYQcySLMFyUxycdCYXHijwtLEb6HEAiF2VJl5ZWVpdz+xgZGP7GES/6+mj8s3M2u+jbOG5zCs9eMZOVD56JINaFzwk15dgam6vteFAOUrsAbkISINlOyNJMnJJD19xeR+YPETz2L/E8+PmmiGCA+JQNNAJoMeSCGoWRx9yfu+1L6c8glR76ZWie1WBTOoCltBAa32O9x0BEifbjxNi82n639QXWnoTtRFFldu5qbv7qZu5bcRZW9isnpkylrK8PitXS5Z62zllS3qtMWviCTET91Ks7Va7AvXowsPv6kpN0djiIpiSS3ggZ3w7FPbmdTwyYKjYVcVngZQTHIhvqDziQWrwWtOxRVHsYR5MlJaNokk+VgOCj5/MpkHUOIZwKRirHvQEQY96xNpEcNIu1tEKMFQUgAPhME4Whmft395BO7uee/gX8DjB8/vsvxGDFiSHi2bqXmJ/eT8utfY779tv5ezgnh2VqMekAhf933LzY0bOCpaU8xMnkknqCHXQYB0Woj7PEg0x550CUa8bf7ExtzCmHLf2DUDRBnhrUvQcs+uHYeafnDCQsfYKkoof/9BY5NvD2INV2BV5NEcVlr+7BcK1sqbXgCUmdcYXI8l4zKYHKBFKaRkdD583YgOx/jxhasu/+LKX1k3y/S54Dq9YTcOQSVoY7YYgDN0KEMWvUdQlzcSW9DMKbm0AzYPAEw5sDeRVJK2uHsXQjJQ44dApI0AG7+jObKZeg90WHVBgcrxonO9kqvpqtg/6bqGx749gHS49P53aTfccXAK9jdupt19evY2rSVmTmd+zxrHDXMdspQFnSuVOrOnoZ94ULavliAYdYsZOpe+GgfJ4qkJIwVYuce46MQCAfY0rSFywsvZ1TKKHRKHatqVzEzV3qNdkcLykA4SivGySisjo5/JzpEFGZz1PcN9wZ5e4JfRBj3JNwDeulKIYqiTRCEb4ELgUZBENJFUawXBCEdqZoMUoU4+5DLsoDTc380RowowPrOuwAEqk8fD9zuEMNhPNu2YTuriPf3vs9tw27jssLLAMg15NLS/rsjUN/QKVnpdMBaWUJADhk6jRQGMOhCyd4pdRgs+Bm8OoP8C5/AogddZWl/L/eoOH1BNuypJN0LDm0cIx9fgj8URhBgSJqBuROymZRvYkK+iSTd0cWKLmcQMjZSvWMZppm/7/vFVqxBDAdQ2gN4TF37cGXxPbBN6wPU7SEfjsZaGDJHGkjzOTvHB7stULEGpv28x/dtcjcxxA3afo6DjiBPTAS5nERnmBpnDcOSuk75b2jYgFahZdGVi1C299kPMw9DJVOxtbGrMK511mJwBDtEd4T4qe297YEA+tknv40CQJ5kJt4eoLGHrRS7WnbhCXqYkDYBpUzJ5PTJrKlbg9SBCj6bVCGPSmGcnAxuD2q/HJ9KIN7mPaPaKICOaGvf/v29qob3xJUiGQi0i2ItcD7wZ+AL4FbgmfY/I81DXwDvCYLwV6Thu4FAL13PY8SIARBoasK+ZAlwsCp5uuIvKyNst7Pa1EKhsZCfj/15x7HUuFQciWrAQ6Cu7rQTxs7qcqx6yLVWgyCXkr0ARt8I5gEw/wfkLXuKb4ygirJ2kTZ3gI0VUjV4Q7mFnXV2xntX8zhgjUvl9ql5TMw3MT7XhDFOeazbdcKUM4gg0FRbDh7rcblbHJXS5VhVcRjbgogp/VeHj9hfeVsaYepPYP0/oXQ5DL3s4En7l0hhEUN6HpbS2laP1g/xyel9veTjQpDJkCcnkehsos7Zfb1rn2UfgxMHd4hiAJVcxfCk4Wxt2trp3EAogK2tEbW7a+KaIikJzdCh+MrL0Z19DPu7PkJhTkLpDeB12XEH3MQpj+4EsrFhIwAT0iS/46mZU1lWtYxSWynJcclo3ZINXbQO3wGk++OoUHlQWhwock+vn7vHQq6T3piGHQ6ph13Zs59fPakYpwPzBEGQI/UkfyiK4kJBENYCHwqCcCdQBVwLIIriLkEQPgR2A0HgvpgjRYwYx4fto48gGEQ9ePBpFSfcHe6t0i/FbwzVnJ99K3LZQX9aQRBQZ2UDJQSiTDj2hEBdHS1GgZHVmyFnMmgTDh7Mngjn/IqELx/EnpCHvK6139YJ0OzwSUK4TIpX3tfokMI0FDJGZyfw43MLGbrrYwCmTj+XcRcXHfdzpeUPpQZo88ihdAUM72NHiNLlVGWPwWwvRzUso2/v3QsU7W4KgZYWyJkivQHYu6izMN67EPQZkD6mx/e1N9V0un80oExJJdnZyl5n1+9TURTZb93PxQUXdzk2JmUM83bNwxP0oFVILTf1rnoSHFJ1VZHSdVgx5aEHCTY3n7LWKoVZ+n82uKVqfXdhPYeyoWEDAxMHdrSUTMuUBlXX1K1hetb0Q+Kgo1AYJ0vCuCCYSLNSRri5BeXESf28qr5FUCoR4uIQ3W4UPWyjgJ65UmwHunwni6LYCnRrCieK4lPAUz1eRYwYMbogBgLYPviQ+GnTUA8YgPWDD6RJ8CiwbToePMXFhPXxVCd4mZrR1QLMlDWAsFBCoP708zKWN1qw5SowNeyC8x/vesKQS+DLBwklqtDuciIGg6esl6/O5umoBq8vt1DW7AJAq5QzPi+ROSPSmZhvYlT2wTCNpSuldo+kQSfmGxuXIXXVefxqOLCsb4WxrQpa91NdOIUCZznKzP5z+uhIpbO2gVwhhULs+/KgbV/AAwe+kXYQehBJG8HTLG3pR5MwVqQkk9Qkl9LvDqPOVYcj4GBQ4qAux8amjuW1na+xs2VnR4X1UA9jZUrXwaj4Kb0PljkR5Cap8m90SyEfRxPGgVCA4qZirhp4FSG7nUBNDWlDhzIgYQCralcxzDwMnVcS/VEpjNsrxoVhM21xZsJtW3sc7nE6IdfpCLrdPbZqg1jyXYwYUYvjm28INjWR9sTjBGpqET0eQhZLx7bt6YZnazGNBQlolXbGpHStmuUk5mPRg6G2ph9Wd/yIfj+aNg+hRL00eTzggq4nGdIhayJKaxOyMAQaGlFldTHrOfG1iCKVrW7Wl7d2BGrUWKWylV6jYGKeibnjs5mYb2J4phGlvBuRJoq4mhsBgdTcIV2P9wKZwYBfJSPkVcD+pRAO90oYApK4LP8O0kdD/CFf+6UrAGgMaRkggqnd9aM/kGm1BDVKlHY3vpAP9ZA5sO09qPxeSocr+xYCbhjctZIqiiJv7nqT4UnDOwRjBH+r5NgUDXHQEZQpKRgd4W5bKfZZ9gEw2DS40+OebdsYKpf6vbc0bul4nR0exkSHTVikYmx0icfsM97RsgNvyMvEtIm0/PMVrO++y6D165iaMZX39r5HjbMmuivG7cL4GvNM5haNw8INUfE56Gtkej00NfXYqg1iwjhGjKjF+u57KDMz0U2fjnPldwAEamtPS2Ecstnwl5WxdVYiE9ImoOrG9zTPmEezAZKrK/thhcdPoLERQQRFvChtlaceIXZ06GXod/8FiMNWWUJKHwjjcFhkf5OTDYcI4SaHDwBzvIqJ+SbunJbPxHwTQ9J6GKbRsp+AM0RQpkBt6saLtxcIgoDXFI/C4QFXEzRsg4wethKIIuz5ApY9AZZSyeXjwmdgxLWSPVjpctCnY2uSBpw0mVkntNYTJZygx+i20uRuIrtwBii0UjtFwTlSG4XaAHlde2UXlC3gr5v/ynDzcN6/5P1Ox0JWK0DU2LWBNLSlcQVottV22cHaZ92HgMDAhHZrwtJSmv7yHM4VK1APGsSAOwd06jOuddRidsmAcJfhu/5A3v6zNdJKcTQ2NmxEQGB82nis215H9Pvx7tzJ1MypzNs9j68rviZRckNDFo12bSYTyGQobS7i2vxYAGUP7cxOJyLOFD21aoOYMI4RIyrx7ivBvXEjKQ89CDIZxfI6kpASfLQjT4Lt1UnGs20bABuS2rgso3s/0jxDHt8bhA5P4NMFV3UFAPFyGwy8qJOnayeGXEKy5k8ANJbuIGXqeb1+rlBYZHedvaM1YmOFBatb8klOM2iYUmhmYr6JSflmCpOPMy2tcg2iR4bLqOyTtp1wciL6VgdOQYZu/7KeCeOq9bDkd1CzQbI3u/xl2PwmfHoXbJsPc/4iVWGHzMG7owwAZXr/DqjJTAkYXFYaXY1k67OhcIYkjGc/Dfu+goGzQNH5DWG1vZqn1j2FVqFlZ+tOKu2V5LZHinuDXpR2qeQYXa0UksDQtHlp9baSpD046V9iKSHHkIPK5qL+pWexffwxMo0GzYgReHfvZnzC1Syo/ZpQOIRcJqfOWUe+Nw4hLohMpzvSU54yIv/PqT4NDa6jexlvbNjIoMRBGOTx1O/eDYC7uJhxY29Fq9Dyfd33zPUACkVUxHkfjtCeNBhsbiHYKL0JOGMrxvTcqg1iwjhGjKjE+t57CGo1xquuYm3dWn6x70+8xenrTOHeuhVRJlCaLnTbXwySZdsXRpDtsyKGQghyebfnRRuNZTsBSFa7YWA3bRQRTPlkZ+bgoQ1b5f4e3dsfDLOj1tZRDd5UYcXpkybdc81xnF+UysR8E5MLzGQlavum/7xyDUq3DH9i36StKdPSMFdUUZ0xnKL9S+Cch45+wTd/gFXPgS5NSoEb/QOpb3fUDbDxP1IF+aWJEA5A4QzCy9YBoOhnYawyJ2NsKTtYaRwyB/Ytgo2vgru1ixtFMBzk4dUPIxfk/OP8f3DLV7ewqGwRPx79YwCaPc0Y3CKiXIbMYDjVL+eIHO5lfKgw3mvZyzRXBgdmX4jo95N4ww0k/fhe3Bs3UfuznzHRk8b8gIv9tv0MMQ2h1lnLFI8KZXJiVMxOyOLiELRa0nwath+llcIf8lPcXMy1g67FV1qG6JVKw56txSTJ72Ji2kRW1qzEHFAhj5I47+5QJCURbGkh2NTey34GCuODFeNYj3GMGKctIbudti++wDBnDvKEBF76/iW8agGvTkWg5vQUxp6txTRn6UgymToqYoejV+lxm3XIQg6Czc29eoffn9gqSjACmeoQ5J9z1HOzhl3JBt2beKvKuz3u8YfYWm3tiFfeUmXFGwgDMDBFx+WjMzoqwmlGTV+/FBBFAhVriHeBWNA32/fxmblonRuoTh1K0ZYPJD/fuCNUQENBWP9vaXjtmtdAdYgPsUwOk+6R+nQX/QKq19OWNQ6d1UswTt1hzdRfaJPTMGyFkoigGnQhCDJY/qQUmTzg/E7n/2v7v9jevJ1npz/L6JTRTEybyMKyhdw76l4EQaDZ3YzBDaJRH1XCKpJ+l+gUqXPWMTJZ2sFy+p3UOGsYdyAN0eOhYNGiDttFzRCp53hgi2SXtaVxC0NMQ9qH74SoaKOIoDCZSPIGjxrysb15O76QjwlpE/BulN4Ya0eNwlNcjCiKTMucxsqalST6lFHZXxwhIowDjY3I4uL6/XvoZNBRMY4J4xgxTl/aPv8c0eMh8cYb+a7mO3a07EApU2JJFDCfhhVjMRjEs30724cHOSvjrO5/ydvrQa1HlZEB7CNQV3faCGNPbTXheBidPQ40R6/sKYZejl3/BvJaqV3E4Q2wufKgEN5WYyMQEhEEGJpu4IaJOUzKNzMhLxHzMcI0+gRbJQ2eJhKdKQT6SKwkZg/AKkIDCYAouTOMvLb7k+u2gN8Bo67vLIoPJSEbfvARhIJUWfZgdoCY3P+tBprkNAxuqLO3f4/Gm6U47crV0kDmIV8bW5u28u/t/+aywsu4KP8iAOYUzOHR7x9lR8sORiaPpMnThMENsijqL4bOFeNDnSn226RdkNTWEMr09E5e5MrsbGRxcWgqGkgdnMrWpq1cMeAKLF4L+rZ4FIOip1IpN5sxupuOOnwX6S8elzoO986/IdPpMF5xOQ1P/IFAdTVTM6VdMYNPFvXC2FdaSrCx6YysFgPI23dbYhXjGDFOU8RwGOt776MdNQrNsKG8vHAuWbosJqVPolb3KXmnoTD2lZQgejzsSpdx7eFtFOEwrPsHLHscRlyDLjsfSRjXw9j+WG3vEesasBkgbsDsY55rjcvHZ5BhavRw6d9Xs6uujbAICpnAiCwjd04rYFK+ibG5iRi1vQvTOL7Fi1LwhqsZnE1Qspha5Bi94Evvm2G2+MwcrECbzQVxSbD/6yML49IVgAD50499Y7mCKkcVZruIKq//PIwjKMwmFGFobCo7+OCQOZIwPqSNwuF38MiqR8iIz+CRiY8AEHa7mZl5Lk/KVCwqW8TI5JE0u5vRu0VUmdERBx1BnpAASiXpHkUnYRxxpIhvsKPKy+t0jSCToR48GO/evYw9eyybGzdLrhaiiNrqiq6KsdmMrrwOi9dGIBToFFQSYWPjRoaYhmBUG7Hs3IVm2DC0Y6TeeU9xMdmXXUaRqQiDrwZ5RhQL4+T2VoqGhjNWGCdcew2qggJkmp7vsMWEcYwYUYTr+7X4KyrI+L9n+abqG/ZY9vDUtKdw+p1UG4L4S2sRw2GE3lpe9SORYI/SbCUT0w/xxXW1wOf3SolgGiPsXUTSzEeAxTiqyojeXyedUTe30WYOS8NVh9Fk97KhQqoGry+TwjR+r42nwO4kSW7jJzMGMSnfxJicBOJUJ/nHsc8pVWQbdkLjTmjYAc37IOTrdFqzKhMjIsbMvknBigzFueqqYfCsdn/foNQ3fDhl30L6qCO3WhxGlb2KMXbQZfWfh3EEeaK0Zmt9xcEHR10PtkoYfnXHQ6/vfJ0GVwNvXvgmOpWOkMNB2SWXYrhwNudMOYfFFYt5cMKDNLubyfQIqM0n5gzS1wjt0brpHi8rD7Fs22fdh0GpR6yqRTV6XJfr1EMGY1+wkDEpF/NVxVdsbNxIvBdk/mBUuSHIzSY02/wANHmayNR1do/xhXxsa9rG9UOuR/T78e3dS+ItN6MeOBBZXBye4mKMl13Gmxe+Se3zl0Z9xZhAAN+BA+jP7zaW4rRHlZODKienV9fEhHGMGFGE9b33kJtMxM+6gJcX30CeIY85+XPY0LCBzUYB/H6CLS3dmuFHK57ibdgNCjIKR6JXtQ90la2ET++WqpUX/wWMWfD+9WSLARwaCFXtp3/Nt3qGGA6jbwvSlC+H5MHUWN0dInhDhYXyFilMI04lZ1xuIpeNzsD87XAUxet4NH87+RdccmoWGg7Bq+dBS4n07/hkSB0OE+8CQyboUqTHdClYl74BLMCUWdgnTx3p7Qs1NsKlt0v+vjUbIfew8AafU3KhOOv+Ht+7xlLOuW5QZ/S9J3RviXjg+lua8Aa9aBQaSeBf9OdO5+1s2clQ81BGp4wGoOWllwk2NuJYuow5Nz7C0sqlrKtbR5OnCaNbiCpHigiKlGSS3LWdKsYllhLGKAsIOzejyu/6pkozpAjb+/MZE5K+sxeWLuwI94iqirHJjKLNBSI0uhq7COMdzTvwh/1Sf/H+/YiBANoRIxDkcjQjR+IuLgYgThlHuK0NmTF6BicPR97uZRx2uc7IcI/jJSaMY8SIEvw1tThXrMB8z90srVvBAdsBnp3+LHKZnAJjAc3thYdAbe1pJYydWzaxOz3E1CwpLpWt78B/fwLmAXDTx5A2QkoGU8aT17Cb3UZIranu30X3AFEUKS7eiCYEbn0CU/+8glqbZK9l1CqZkGfixok5TMw3MSzDgKI9TGOH4xz4YB11xcvIv+g3p2ax1eslUTzzMcnlQX/kX4LuRsmmSt0LQ/yjITMaCakUKFvteHPPQiNTQMnirsK4cg2Eg1Bwbo/v3VYtJfQp0/rXkQIOeuDq3SJVjqpu098AymxlTM6YDIBv/34s77yDIiWFQF0dk/zZGFQGFpUvosXRQJw3jNwUXT3G0B7ysaeaOmcdYTEsRUHb9nNXWPoeP7yVAg4O4KXXedEpdWxv2c54lxIIRZcwNpsQQiHivfJu+4x3tkjDdiOTR+JdsxQAzfDhAGhHj6L11f8QdrsRlErCLleUV4wP7kacqa0Ux0NMGMeIESXYPpgPgoD+2mv4x4Z7GZAwgNl5Ut9qSlwKjqQ4wCk5U4zpYUhCPxNoaiJcW8++mTJuzpgKXjss+T3kTJFEcWTASqmFATPJOrCSVUY5KQ1HT53qD8JhkZImh1QNbo9XPr/hVW4FdmkGMDo7gbunFzAx38TgVD2yI4RpZAwaQxPQWlMBPgeo+8YW7ajsWQBytVQhPsbzBdqtm/rqzZcgCISSEkiyt1IbdFCYexaUfA0XPNH5xLJvQaGB7Mk9vre3TqpYKjP6XxhHKrtGF1TaK7sVxg6/gyZPE4UJhYiiSMNTTyPT6ch6+WUqrr0W//frmDVoFovKFpHlk743oincI4IiORntWg/+cJBWTyvOgBNP0MMAlxYAVX5el2vUgwaBTIZ/XwmjikaxpnYN+QEj4I0qURaJhTa46daZYnvLdjJ1mZg0Jup37URuNKLMlKrK2tGjIRTCs2Mn6oEDpPtFYbhHBEXywf713gRgnOnEhHGMGFFA2OvF9tHH6GfOZIlnMxX2Cp4/93lkglRlFAQBfU4hsI3AaTSA51rzPQC1BQaKzEWw8v/AY4HZT3Z1HRhyCco9X+A1DURVae+SqnWqCYbC7K63s75MEsEbKyy0eaQwjQyjhrMHJjG+Xhq0+sXPHiYpf2iP7puYM5AmwO2SSQJxxDUn6yVIiKIkjAtn9EyEt1gIKWTI+rDSpUhLw9TYQrWjmsJBF8LXvwFrJSQe0htc9i3kTAZlz4Zk7H476lYH0Dvz/pNFRMAa3SIVbRXdnlPWJn29FBgLcHy9BPe6daT+/ndoRwxHlZ+Pc/Ua5sy+m49LPsbX6gaiK9wjgiIlBYXTizIop9ZZS4Nb2mVIaw0jKJXdhq3ItFpUubl49+1l7DljWVO7hkyvFHwRsYCLBiItMale9RErxqOSRwHg2bkLzfDhHT+ntKPaHy8u7nhN0V0xPiiMe2NndqYTE8YxYkQB9i+/ImSzob9xLq9se5IiUxEzczoPQ2QnF2KP30FCPwnj4xGqbQsX0JwoI338NGQeG6x9CYZcApldh3MYNAsEOYJBgcoXImy3n9JfKr5giO01bR3V4M0VFlz+EAD5SfFcOCyNifkmJuabyDbFgauVTz5tw6eUY84r6vHzyOLicMcrCLuBHR+ffGFctxXaquHcR455qj/kR2V14U/sW+/c+IxszAd2Um6vgoGzJWG8f4lUwQZwNEDTbhg5t8f3rHZUY7ZLf1dEgTAWFArkZjMZHg/l9opuzymztQtjdSaNz96DesgQEudKrzn+7GnYPviQ0ca/kRafhsEtDbZFhvqiCUWyVF1MaLdsK7WVohAUxDe0EcjNOWI4j6ZoCJ5t2xmTcisAqW4FcqMRmfoUWBH2kEhLTE7I0EUYt3haqHfVc1PRTYS9Xnz796P74Z0dxxWJiajy8/EUFxM3cYJ0v4ToFcYyvR5BpUL0+1H0UevUmUBMGMeI0c+Iooj13XdRDShkqamOmpIaXprxUhdhkm/Mp8EYJrm68pSv0bNrF5XX30DCtdeQ/NOfSpZNxyDY0oJr7Tq+mywyNXMarHlBah0477fdX6BNhLxpaJ0VAPjqaok7icLY7Q+ytSqSKtfK1iobvqAUpjE4Vc9VY7M6hHCqoZsq5q5PUdhktKXG9VpEepMNqBw2OLBUcueIP4mWXHsWgCCHwRcd89QGVwOJTiCpb7fv4zKzSXTAd22VMOwWMBVK1fKIMC5bKf3ZTX9xg6uBv235GzcX3cywpGEdj1fZq0iyi5Bg6JUV08lEmZ5OhquGFUcSxm1lqGQq1O9/iauunsxnn0VQSL+GdWefjfWtt/Fu2sKc/Dns2fgqAIoo7DFWpEjVUFN7+t0+6z7yjHkEKqu67S+OoB48BPuXXzFUlUeKNoVUtyqq2ijgYIU+3R/P2sOE8Y7mHQCMSB6Bb+9eCAbRtvcXR9COHo3z228J2WxAdFeMBUFAkZREoLERRZK5v5cTNcSEcYwY/Yx3+3a8u3aR9Lvf8K8d/2Zk0kimZ3X1cS0wFlBmFPDWVJ36Ne7YiRgIYH1/PvYvvyL5Fw+QcPXVR41ttn/5FUI4zMYRcdyfWATz74ER10LqUVoOhlyCcc8fAR0tZbvJKepZe0JPsHsDbK6wdgjh7TVtBMMiMgGGZRi5aXKuJITzTCTGq455P/e290mwCoRHHId/RloyCSUWrIRJ3PkpTLr7OF5RDxBF2PMF5J/dIwu0WmctiU4RZV7f9hsq09ORi2Cpbff4HTQbNr4GfpfUUlP2LWhNkDay03W7Wndx/zf30+xpZkfzDj6+7GO0CqmPtcpehdkOqvT+9zCOoMzIwLyjikp7929eS22ljA1mYn3tdQyXXELc+PEdx+ImTEBQq3GtXsWV992IK/QRYEEepa0UANm+eGqdteyz7GNCyjgClV+hP/fcI14XGcATSitYdu0yKj6aizyKBu+gvSVGEEj2Krv0GO9o2YFCUFBkKsK95BPg4OBdBO3o0bR99hneHdKQXjQLYwB5chJiKHTUn+X/a5w+ZqgxYpyhWN97D1l8PMuHhWhwNXDf6Pu6rUB2OFM0NCOGw6d0jf76OkSZQMYHUmW74dHHqLhuLp72H/7dYVnwXypSZYydfBnG9a9CyA/nPnz0JxpyMelqyUO0uWLvCa3Z4vKzeGcDf1iwm0v+vorRTyzh9jc38trqMgRB4K7pBbxx+wS2PTaLBfdP4/eXDGX2sLQeiWJaDlDSsIMkO8QXDuz12jTZOSTboSJlEGyffxyvroc074XWA1B0aZdDnqCHakc1LZ4WvEEvoihF/JqcENdH4R4RIlVBV127YBw0W/JPLlspifeyb6HgHDjEn3t51XJuX3w7CpmC30z6DVWOKv5R/I+O41WOKtKc8ugSxunpxFs8tHltWL3WLsfL2sq4cGMQBIGUhx7sdEym0RA3fjzO1WvINeRyd85cEIQe7c6caiLCOMevZ3frbhrdjYwIpiEGAkevGA+RWo68e/chCALBxsaoG/oSFArkCQkkeuS0eFoIhUMdx3a07GBg4kA0Cg3enTuRJyd1qXhrR48GwLlS2gWJdmGsHTYc7cgR/b2MqCJWMY4Rox8JtrZi//Ir9Ndexb/2v8XYlLFMyZjS7blZ+ixaEuUIwSDBpqZTOnBUW7Ydl07knt0/5eqfX8WVFRfif/FVqm67jcKvF3ca4gDwV1UR2LGLVefJuCNzBiy9EsbcBOZjeOMas8hOH0iDohVnddnRzz2MRru3oxq8odxCSaNkkqpWyBibk8j9Mwa2h2kkolWdYHVk+3wqvFoGA6lDeh/Rl5A7EH9wKSWmkYzZ/SG07Iek3gvsY7JnASDAkEv4pOQT1tStod5ZT52rDovX0ulUhUxBXEDOf3ygz+jbwIzI12q4sYVAOIAy5yxQ6aUUPHMhOOo62ihEUeSt3W/x3KbnGGYext9n/p0kbRIl1hLe2v0Ws3JnMSJ5BNWOakx2MSoG7yIoMzOQ+wLoPXIq7BUkag62QXiCHuqcdaS1ZqAeOLDbYaf4s6fR9MyfCdTWErRYkBuNUVnJO5h+p2GPZQ8AA+zSIN3RhLEiJRl5YiLevXsQQyGCLS1RZdUWQW42YXCJhMQQrd5WUuJSCIthdrbs5OL8iwHw7NyBdtjwLkUM9YBCZPHxeHftAkFApj8FrjMnQNqjv+/vJUQdMWEcI0Y/Yl+8GDEQYM1EA82Nzfx5+p+P2K+qkCmQpacBNZKX8SkUBP66Wlr0MDplNG/sfpM3gCvvnch1T66l+YUXSP/jHzudb124AADPuWMZsFWyoeOcX/XouVKGXMYuwxuEj+JlLIoiNVZPhxBeX26hsn2KX6dWMC43kctHZzK5wMTwTCNqRR+Ki3AYtn9AaygFcJFS1HvrvKT8odQBTT4NCDLYNh9mnoRfUHu+gOxJBOOTeGr9UxhUBgYlDuI803lk6DJI1ibjD/lxBBw4/U7C1XXAAlR9bPYfGY5LsIdocDaQbciGwvOkPuPk9sHFdmH8yrZX+Me2f3BB7gU8Ne2pjtaJX4z7BatqVvHo94/ywSUf0NhcgcYbigqrtgiKdjeGpDaoaKtgTMrBr42KtgpERPQtbpQjux/W1J19Nk3P/Bnn6jWELNaobKOA9t7U5CSS3Acr/GkWERdHF8aCIKApGoJv7z6CLa0QDkelJ7vCZEbrlN44NroaSYlLocJegTPgZETyCMIuF/7SMgwXdu3bF+RytKNG4vp+LTKDISrf2MQ4OjFhHOO0w/rBhyCKGC66MOq3qY6Fv7wCIT6el22fMyl9EhPSJnQ9KbLVnDMZXU4+EWHMuG6cHU4SsmYrjhQ1f5/xd+qcdXyw7wM+2f8JhvECF338CYk33IBm6ND25Yo0fvYh+7Ph8qKZ8NkDMOlHUrpdDxCKLsGte524xuaOx0RRpLTZxYZDhHB9mxeAhDgpTOPmyblMyjdTlK7vCNM4KVStBVsVvrYhAKiPIgSOhDpL+r9oq6uFgvNg+4fSUOLxRH0HfXBgGQy4ABSHtIFYyqXY51lPUeWoIhAO8MC4B7h8wOVHvJU7vJFKFvS5WJEnJCCqlCTZg1Q7qiVhPOhCSbivfwUS86QPYGHZQianT+Yv5/ylw64QQK/S8+iUR7nvm/t4fvPzCM2ScFFEQbhHBGWG1NaR6pBRcdgAXmlbKUJYRNlkRZXV/feCqqAARUY6rtWrCVmtURnuEUGZnILBLtnlJWmTUO1txqPTdbg6HAn14CFY332XYL3kuhFtw3cgVYxVuyT3n0Z3IyMYcXDwLmkE3j17QBTRDB/W7fXa0aNxfb/2tP/99L9KTBjHOK0IORw0PP44iCKNTz2F7rzzMF5xObpp0xBUPegNjTICNTU4k+Kw+Kz8ZPRPuj9p5bPw7dMw/SGS8ouAVXiqKjlVP3JFUURrcREaKomlDF0GD4x7gJuH3szN3qs4e6eFuiefJP/ddxEEAd+ePSirm9h5uYnfffs3iE+Bs3/Z8ydMKSJkkBFX7uPNNeXtVWELrS6p9zhZr2ZivonJ+SYm5psZmKI7YpjGSWH7fALKeFRNLtxJOmRaba9vEQkE8NfUwEUPwqd3QdX3kDetdzcSRfj8x7DzY8g5C+a+fdDhYo9UtafoEkpt+wEYkDDgqLcLNDUBfR/RKwgC8tQUTI46Kh2VnMVZMPAC6aC1HMbdDkAwHKTOWcesvFkdolgMh3GuWEHcpMlMz5rOZYWX8c6edxjVJgKgTI+iVop2YTzQZ+wygFdmKyPZpYCAD2VWdrfXC4KAbtrZ2L/8EoXZLIViRCmKlGS0JdLXy+DEwfgrKlDl5R3ToUVTNATR78e1foN0n+TorBgLVskLMGLZtqNlB/HKePKN+Vh3rgLo4kgRQdsewBQTxqcnMWEc47TCs207iCKpv3kEf00N9kVf4liyBEVKCnkffhBV/YY9wVtdSYnWxrTMaYxOGd31hI2vSaJYpoRdn5F78RNYdCBU7OdUvdKQxYIiKCJP61zZSdIm8djsZ3m/+E7uWrwVx+LFGC66iLKP5hGSwcACNfLGvXDrwmPakQVCYXbV2aVqcJmFszQ6BrkcPP/fNehMGZwzKJlJBZIQzjP33h6tzwh4YNd/KR80g7SlmyHn+Aa/5DodAb0WXYsTW/40EpTxUjtFb4XxymclUTzsStj3Ffz7PLjhPSlme88CSB8FiXkcqPqKrGaR5G930mL9nlBLC8GWVkJ2O4qUZFTZOSizs/AUbwP6XhgDaNIzSa5vYK+93VVFlyL5Wddu7mijqHfVExSDZOsl4SiKIg1//CO29+eTcP1c0h9/nF9N+BVrateQ5JB2FKLpe16ekICg1ZLtjuP7w0I+ytrKGO5PBmpQZmUe8R7xZ0/D9uGH+J1O4ib3PAXwVKNITkGxfh0Ag0yD8FcsQjv22P326sHSTovzu++k+0TZ8B1IFWPR4UAjajoJ4+Hm4cgEGd4dO1Gkp3eZrYigHSm5q8SE8elJTBjHOK3wbN0KMhnGq65Grosn9aGHcHyznNqf/xzH0mWYbr6pv5fYY0RRxF9dTc3oEPeNvq/rCbv/C4t+KQUiDDgfvnqIgpDIPiPE1VScsnW6aqTKl9ZTAm/MkQRN+8fktFFsvvkeKrb8k8DTf2D4OefgXryEkkIZlzZsgdnPQG7XYUJvQArTWF/WyoYKC5srrbjbwzQKkuMZnzYQ2MLr40oYN/cUfU7LvpXswo5ma7bvK/C1sS9zOJmWzcRPH3zcTydkppFqrWC/q5YJQy+XPt8X/58Uj90Tdn4qvWkadQNc8U+o2wLzfwCvzZbilms2wIzfSS/NVsYT74u0uh4HpJAReXIScp0e7949hJpbOm4ri48/KQNDyvQ0UkpkLHUc0jtedCk07oZ8yZ6wuv1Ytj5basn545PY3p+PMisL2yefYv7hXRizMnly2pPsW/M4CHVRNbwlCALKjAzSHCGqHFWEwiHkMqnHtNRWysXeBKAGVXb3FWOA+MmTQS6HUCiqWykUKSlgd3J51qVclDGTQP1/MHYTBX046oJ8BKWy42e54hitF/2Boj0WujCcRKOrEW/QS4mlhNuG3waAd+dOtEdoowBJEGvHjEFVkH8qlhujj4kJ4xinFZ6tW1EPGoRcJ8UJC0olhgtn05STg2vt2tNKGIdaWpD5gzjN8QxPOmxLrvw7+OSHkD0Rrn1T8ntd/Gvyqjaz2iiQW9c1qvRk0Vi+CwATzSCmQv02cDaBX+ov/FH2JP5wRR7X/7uCXffeTrzVS2C8H/2wq2HSPYAUprGl0sb69v7g4mob/vYwjSFpeq4dl8XEfDMT8hNJ0WvYs6QJFm7Bsesr4A8n/0U274O3Lgd9Blz9aveV24Yd8O0zoE+n3O5mgB+SBo867qeMyy0gbV05+637mTBqLmx7D/Z9CcOvPvbFNZvh83shezJc+oI03Jg5Du7+FubfCF+2W4EVXQZAbd0+9K4wST/+MeY770AW3zmOO+x246+pIVBdjTwx8aRU5BWpaRjsQapsFQcfnHK/5G3d/makxlEDQJYui8annsb63nuY7rwD0803UzprNi2v/JOMJ59kWuY0CuIn4kpeg6BU9vlaTwRlejrGhnIC4QB1rjqy9dkEQgGpt9o5HGSybiOTI8j1erRjRuPZtBlFFKbeRYi8IXl00P2EHR7KRfGog3cRBKUS1cAB+HbvQZGSEpXDafL2WOiccAKN7kb2WvYSFIMMTxpOyG7HX1mJ8aqrjnqP3HlvgiImsU5HYp+1GKcNYiiEZ/t2DJde0uVY/OTJ2L/8EjEY7EiSinb81ZIIkB++rVq/Dd6/UUoHu2E+qOKkj9ypxO1ZiCdZj3qv45S9VktVCUYgLSMH7lh8yAtww/YPkH/7J+7ztLB0cDpj12/Hq4SphSa+HfI71n61l/XlFnbWSmEacpnA8AwDt07JlYRwXiIJcV17w3OHTaESaKlvlbbau4uQ7ksq10h/CjKYdylM/5XkoiGTQ8AL3z0rJfdpE+GKV7B89U8ANAUFx/2U+oJBJC35hu9a9sLUuZIo3/bBsYVxWw28fz3oUuH6d0FxSJyuPg1u+xK+eghcrZA8mEA4gLdKqvprhhZ1EcUgVZA1gwahOYk9rYq0VGRhEUdjzcFKqlzRaSizyl6FSlAivPA61nfewXTbbaQ8+CCCIJAwdy7W994j6e67UeXkEGioRxFF/cURlBkZaHZuB6DSXkm2PptKeyUhMUSKVbKXO5aY1007G8+mzVHrSgGgSJbS74LNzQRbpB2HnghjAM3gIZIwjsLBOwCFWWqRyAzo2OFqYEeLNHg3Mmkk3h2Sv3pk2PhInI4zLzEkYgEfMU4bfAdKCTudNBWa2FC/AU/Q03Es/qwphJ1OvDuPHDgRbfjb7cj0eYd4+7aWwjtXgzYBbvqk87b+sCugdT+ylERkYZFg+6DUycZVXY5fDplF53U+oIqD8bfD/VuIn/QL8kY68cuhrFDk7qZ7uO2d3byxpgKlXOCecwqYd8dEtj02i//+ZBq/nTOUC4amdiuKAbQZWfhUMnwOFWz4z8l/kVXrpSHB+9bBiOtg5TOSQN79X3hlKqx6DkZeD/dtQBwwk0BFufRfcALCWJWTg0yEltI9kgAfea3kLuE8yuc1HJbaJYJeuPGD7nu3lRq47O9SrzFQba8myRKUDmXnHPd6T5RIL7CxLUi9q77bc6od1dy6IQ7r2+9guvUWUn79q47qtfmuHyIoFLT8Q3pTEqxvQBlFjhQRlBnpCDY7qoBIRXufcVmb5Mmtb3GhPIIjxaHoZ12ATKdDPegkeFv3EZGKcbCpCX+F9MZLlZvXo2s1RUM63SPaULRXjFN9GprcTexo3kFqXCrJccn49kuDrOrB0TsYGePEOD1KazFi0N5fDPza8hq1S/6NQqZguHk441LHMTVvJDrAtW5dR/JQtNNWXgJAakF76pCjEd65CsIhuOlTMB5WSR5yKSx6kLj29k9fdXXHFPzJJFhTiU0PowYd9Oysb/OwodzS4RhxoGkMyTzNDXPewZk6nctHncPEfBNjchLQKHu/VSoIAq6MBNRtNsSdnyDM+uMxB/hOiKq1kDMJ1Hq46l+Sx+7CX8CHt0g2Yjd/Lj0G1DpqMDV5CWlUJ/SLXZUriVRPZTmiKCKMvkmqSm+ZB9Mf6v6isuVQXwxXvAIp3XvhHs4B2wFSbe3PeZShr5NNRBibHSJVjiqy9F0FYrWzmut2eombPJmUhx/u1NKhTEkh8cYbscybh/nuuwnU16M7SvxwfxH5nsxxx3dYtpW2lSIgIG9oRTn9yL2pEdQFBQzauKH/hkx7gCKlvWLc1IS/ogJFcnJHi9uxiAzgKaNw8A7osJwzexX4w36+r/+eiWkTAfDt34/caOyomMc484gJ4xinDZ6tWwkl6Kk1uPnZ2J/j8DvY1LiJebvm8ZoY5P2Bubi+X0vSj37U30vtEW3lJTh0kJ8yGLxtUqXY2Qy3LoDkbqoR+lTInUpSk+T/2Vy+G92kSSd9nfKWNtw6kY+bMli3cRsbyi1UWaQwDb1awfi8RK4em8XEfBMjMm9ApeibjShZXjapWyzUCEGyt7wFZ/+iT+7bBXs92Co7+qEBGHU9ZE2AA99IiX2quI5D+yz7yGgFWW7WCQmXyACWscVDvauejORBkjvDpjdg6gNSm8HhbHhVqmz3pA+5nVJbKWk2EZnZ3G0bxakiEvJhtkstE2dlnNXpuCiK1Dhq0Nv8qAcO7Pb/1vzDO7HOn0/j008j+nxRZdUWISKMhwaSOoRxua2cXHUaoebqI3oYH040i2Jod+BQKgk2N3dYtfUUzZDBoFSizOzb6PG+QhYfj6BSYXRJloBtvraOORDf/v1H/PqMcWYQE8YxThs8xcU0FiSgVcItQ29BJZe24Z1+J+d/fD4lBWqGLt9K2OM5Lm/ZU42vuoqmBJiiy5R6ipv3wI0fQtZR+mmHXUFW7W8JY6a1bA8nY+ZZFEUONDk7qsFzbQGsGQoe+nQPiXFKJuabuPWsPCblmyhKNyA/SR7ChkFDkX27jT0pI8je9DpM/ZnUctDXVEuWU+QcZo1lLuw2wnqPZQ8jLSK6acfvSAEgT0pC1KpJtfo5YDtAhi4DJt4tDc/t+xKGXtb5AmuFlBR3zq86B3kcg9K2UqY71Khz+q+NApCG+tRq0pxhqhxVXY63eFrA5UbpDR3Rgk1hNmO66Qe0viq110RTuEeEyGBdgc/A+vZWitK2UkaFMoDqI3oYn25I6XfJUsW4vBz9+ef3+Fq50Uj+xx8d1Z2jPxEEAbnZTLwj2PHYiKQRiKKIb/9+jN3MucQ4c4gJ4xinBUGLBX9lJVuKTExIm9AhigF0Kh3nZZ/H4tJlFAUCuDdvQTdtaj+utmfIGlqwZChJ/eo3ULkarvoPDJh59IuKLiN/8a/ZpQexqrxP1hEKi+ypt7enylnYUGHB0h6mMSquEaMTapOTWPrAdAqTT12YRvqwCTTyPtWyHGgrhpLFMGRO3z9R1TpQxklWbT3gQMMuZraBtvDoYRnHQhAElNnZpFlLKbGWMD1rupQGZ8yGDf/uKow3viYNB467rVfPU2or5TorKIf3b3VOEAQUaalkuW18Z+8qjKsd1ZilTAUUaUceyjLdcQfWd98j7HZHZcVYkZoKMhmZThWN7kacficVbRVc7pWcTo7mYXy6oUhJwbf/ACGrtVcVYwDN4BN7Y3myUZhMCA4pXVMmyBhmHkawsZGww4F6YPT2fsc4cWLDd2cYwZYWSiZPoeLGH2D94ENCbW39vaQ+wVNcDMD6pLYuW7AAs3JnsSXNg6iQ41639hSvrveIfj9ai4ugSYOwdyFc+Gdp+OpY6FMxZU/GagSx/vgs2wKhMFuqrLyyspTb39jA6CeWcMnfV/OHhbvZVd/GeYNTePaakax86FyeG12FXIS0ISMYmKo/pQlz8QOkdhJbQxsYMiWxeDKoWie5Xsh7Zvtl2S/Z16nzT7xer83NI9MuZ79VGuhBJofxd0DFKmjae/BEvxu2vCX5/hp63lceCAeosZSjs3lR9ePgXQRlWjopTlm3FeNqRzVmRyTN7siVYEViIqbbbgOFAmUUVhwFhQJFairmNsmO8Pu67/GH/WQ7JfeQaK2SHg+K5GS8e6WvU1UPPIxPJ+RmEzKbA7kgpzChkDhl3MHBu5gwPqOJVYzPMNwbNhCy2Qg2NNDw2GM0PvkkuvPOI/HGG4mffPL7UU8Wnq3FhBUyytJgakbXavBZmWehjNfTVKBA+330C+NAfT2CCApdAFKGweRe9EUPvQKf/jnUDbYene4NhCiutrUPy7WypdKGJyCFaRQmx3PJqAwmF5iYkGciI6FzC8qaPasxAYkDT7JdWjeocnIIywXEimrEm29DWPEUNJd03399vPic0LAD37Sf8eA393PniDu7TyBsx+K1oKlrldZ3Ao4UEZQ5OSSvCFFq2X/wwbG3SH7JG1+FOc9Jj+38BLw2mHhXr+5fZa8i0RpEEEGZ3f/9nMq0NAz7d1LjqOkUfgFQ5agiySG98VIew8Yr6b4fY7jkEhSJ0RmAoczIQGeRXHOWVy8HINkaRtBqOwa7zgQUKSmSUwo9t2o7XVCYzPj2H6AwoZBJ6dLvTl9JuzAecGK7RTGim5gwPsNwFxcjaDQUfr0Y774S2r74rxSbvGwZA75ZdtRKTDTj2bqV5iwdKYmJ5BpyuxxXy9Wcl30eazMWk7pyD0GrNWp/aQJYy/YBYJBZoOieY5x9GEWXIsT/H3pbADEQ6OKJ6vQF2VJp7RDC26rb8IfCCAIMSTMwd0I2k/JNTMg3kaRTH+FJgFAQS20lJhSkFQw/8nknCUGpJJBmJqm5lZrBs8n+7v9g43/g4mf77klqN4EYotycx7fbPqbGWcOHl36IUtZ99XivZS8ZrSAKAqrcrl+HvUWVnYM8KGKrKSMQDkjPG58kDddtmw8zH5OcMjb8G1KGQm7vWoQkRwqpCqvq5x5jAEV6Ghqbm1BQRoO7gUzdwbaCakc1uV4dCPZjun0IcjnqKE4VU2Zk4N+yGYDvaqTo4/gWJ2JW5hk1tNXxeZLJejxUeLogN5sItbby1oULOlr3fPv3o0hJQZ6Q0L+Li3FS+Z8Txu4tW6l94AHip0zBeMXlxE2ciCA7czpKPFuL0Y4YgaBUoh0+DO3wYSTecANlF10sRSbfcnN/L7HXiIEAnh07KB4tMjVj6hF/sczOm82L2V9whSjiXr8Bw4WzT/FKe07jge0ogTStr/d9s4Z0tKkJyEQnjfuK0RaMZmOFJII3lFvYWWcnFAnTyDRy+9Q8JuabGJ9rwhjXi5Swui24nZKoSszpn61DVWEBmbta2O1tIHvoFVD8Hpz/eCeXiBOiah0gUKeXqngHbAf4cN+H/KDoB92eLgljEUV6KjKN5oSfPmLZlmQJUNlWyYDE9krUxB9KSXjb5kPGaGjYDpc8LyXc9YJSW2mHVVtP/HNPNsq0dISwSKJTCr84VBjXOGoY71ajSEqKujS73qJMTyfU2ES6NpV6TyMpcSmItQ1R68JwvEQsy5RZWWdcoIXCnITo96Pxi8h10tdjxJEixpnNmaMIe4jl7bcIORw4li2j6rbbOTBjJk3PPYe/pra/l3bChL1evHv2oB0zptPj6vx81AMH4Fi6tJ9WdmJ49+5F9PnYnR7krMyu/cURpmRMoTFHR0CjwBXlfcZtFSUE5JBrMvd46CtCs8OHbMAEAN56+c+M/uMSfvjWJuatrUStlPPjcwt5+86JbH9sFv+9byqPXFzEzKLU3oligNLlhNwyfCoZcoOhd9f2EYmDhpNmhT2NO2HMD6QY6pLFx76wp1SthdTh1PulXvyh5qG8vPVlLF5Lt6cXNxWTZ1OgKeibrdRI4EaaVRLlHWSOkz42vgrr/wVqgxQ80ktKbaUMcOkQtNqo8F2NDMuZ7VLwyKFUO6pJdsg6bN1OZ5QZGRAMMlRsd6gw5BOoqYnKnugTIVIxVuWd+O5JtBEJ+Qi1Sq1TYiiE78CBmDD+H+CYwlgQhGxBEFYIgrBHEIRdgiD8rP1xkyAISwVB2N/+Z+Ih1zwiCMIBQRD2CYIQNWW7oNWKc9k3JFxzNQNXryLzr8+hGTyY1tffoOq22xDbe6VOV7w7d0Iw2G3Ahf6CWbg3bybY/k1+qmn55z+p+81vj+taz9ZiAEqzlExKO3KftEqu4pz8mezKEXBFeZ+xv6qKFiNkDppzzCpgnc3DZ1treOTT7cx47lsmPLWMByrOw6WBwqbdPDgjnw/unsz2x2bx4T1T+OWswZw9MJl49QluCJUuR+5W4DbH9dv2r3bAQBRhqCvZAnlngy4Ndnzcu5uEgpJPdHeP12yCnEnUO+qYvU3GU8N/jSfo4cUtL3Y5/fWdr7OiajnpFlD1weAdtAtFhYI0m0CJtaTzwYl3Q0sJ7PwYRv8A1Lpe37/UVkq2Q40q68Q8l/uKiL1auktJpaOy43G7347NZ8PQFjiiVdvphDJDep2D/JK4KlJkEXa5+jVg5WQQCfnoi0HUaENuknaRIr8zA9XViD5fTBj/D9CTinEQ+KUoikXAZOA+QRCGAg8D34iiOBD4pv3ftB+7HhgGXAj8QxCEk2A+2nvsCxchBgIkXHUVMo0Gw8UXk/2vV0h/8kkCNTV4d+zo7yWeEO72ZDjrwBTcAXenY/pZF0A4jOObb/pjadiXLKXtiy8IOV29vtZTvBVbgpKswlHoVEcXB7PzZrM1J0SgqopAbfTuAsjrGnHqReRFnf0wRVGkosXFBxur+MWHxUz783LOemY5D3ywjYXb68k3x/PIRUN4/77zseYZMTaK3Kv5mkkF5uNKmDsiHhuBmk3E2yGcbDr2+ScJdaHkI+w6UIIoyKTe2/1LwGM9+oXWStj0OnxwEzxbAH8dKsVtH0rjTvA7IWcKzspS7vzST/ybX3BD0Q18uv9TdrXu6jj13T3v8vzm57k64TwU3kCf9bcKcjmqrCwKHFr22/Z3Pjj0CohrH9Sa8MMj3iMQCrC4fDHBcLDL45X2SpKtoaipVEYqxgU+Q6eKcbVD+rvG4jpzKsZArltq+RnoMUqPR8nnoa9QZmQi0+nQjhrV30vpcyIV44gw9kYcKaI4pjtG33BMYSyKYr0oilva/+4A9gCZwOXAvPbT5gFXtP/9cmC+KIo+URTLgQPAxD5e93Fh+/RTNMOGoRkypNPj+hnngUJx2rYaRPBsLUbIyeTSFTcy9f2p/GDRD/jrpr/yXc13+PMzUGZn41i67JSvSwyF8JeVQTCIe9PGXl/v3LKZ3elBpmYee/BoSvoUygdI4tm1bl2vn+tUobN4CRohnD2FfQ0O3l5bwU/e28Kkp7/h3L98y68/2cHKfc2MyDTy2KVDWfTTaRQ/OovXbpvAPecUMiYnEe2EyaS3wJ6Vf4W2mr5dYMUqauUCZofUT9tfRCqziY1uapw1MOIaCAdg9xfdX+BshlemwQsjYeEDULsVhl4q2aB99iMpbjtC9Xrpz5zJeBqkNMG2zz7n7qy5JGoSeWb9M4iiyEclH/HMhmeYmTOTB5Kv67SuvkCZk016m4wD1gOHHdDABX+AaQ9A0pFbN97d8y4PffcQn5R80unxSnslwXCA+CZH1FiEyfR6ZHFxZLm1nSrG1Y5qtD4Rmdt7ZlSM24ecs5xS322BSxLIZ1qPsVwXz8DVq9BfdNGxTz7NiLiHhFqltqoOq7bCrqE/Mc4serXXKghCHjAGWA+kiqJYD5J4FgQhMkacCRyqSGraHzv8XncDdwPknIJpae/u3fj27CHtsUe7HJMbjcRPmoR96VKSf/nLqNhy7C2iKOIpLqZpVCZhsZEbi25kV+su3t7zNm/segOTxsTbMy/A9e6HhOz2U9ozGqitRfT5AHCvXYv+3HN7fm1DA+GGJvYNl3FrxlQIeOHf50Lz3s4nahPg+vdR5k5h0LiZtMV/ju7770m4uufRuaeCUFhky+4SdB7w6A2Me3oFVncAgDSDhimFZibmm5iUb6IwWXfUr8XCaRdje/trtttUDFv8MMx9p+8WWrqcKpWeZBcEM/uvf1Cu0yEmm8hstbK7dTfZubPAPAB2fATjbu16warnoHE3zH4aBlwASQOlVpX8c+HTH8KaFw5GS1etBUMWGLMINDUBIPp8BD76gp9f9HMe/f5RHl71MF+Vf8W0zGk8O/1ZnB9IbRyq/BO3aougysklYeN6ahzVuANu4pSHDBaOuemo1/pDft7a/RYAr2x/hUsLL+24/kDbAYwukPkCUVOpFAQBRXo6yY5QJ8u2ans1Jod0ztHCPU4XZPHxyI1GUpwyFt61kPj5S2iGM66VAuiTIdRoJOJqFLRIFWPf/v0os7ORxfXR4G+MqKXHwlgQBB3wCfBzURTtR/mF3d0BscsDovhv4N8A48eP73K8r7F9/AmCWo1hTvcOAPpZs2h47DF8JSVRn8jTHYGqKkIWC9tTzeQb8/n1xF8D4A16+a7mO3658pdsGCxjWCCAc+VKjJdeesrW5jsgVcK88Spca3tXxY0Ee9TnGygyF0mDSM17YOI9oDEePHHHh/DJD+FHq5idfyHbcz9Ht24Np0oO+GpqsG5YQ9pVczs97g+G2VFr64hX3lRhZVrb5/wMqI7L4fyiVCbmm5hcYCYrUdurN2Up46ZiEcDmNMOeBbB/KQy8oGcXe6zQuAsadkLjDnA2dT5evZ7G+AEkU99vjhQR4goHklW1gd2tu5mdNxtGXCv5/NrrOodd2Kph02sw+kaYcl/nm4y4BvYugBVPw8BZkDpMcqTInYov5ENhlVSZdswYrO+9x6U/XMYH5g/4svxLJqVN4vlzn0clV+EvK0cWF9fRW9kXqHKyUXj8GNxyDtgOMDK558OYC0oX0Oxp5t5R9/LPbf/kvb3v8cMRUttFqa2UdJvQ8RzRgjItDWNjBYFwoMOyrdpRTb5XD9jOiIoxgCIzg0BdHbmGXOqrq5GbTMji4/t7WTF6iKBSITMYOlWMY/3F/xv0yJVCEAQlkih+VxTFT9sfbhQEIb39eDoQ+c1aA530SBZQ1zfLPT7CPh9tCxeiv+CCI1ZK9TNngCDgWHJ6tlNE+ouXGWo6BWBoFBpm5c1iVPIo5oXXoEhJwbFkySldm++A1Nv51cgAvpISgi0tPbpOFEUc3yzHr4CsMdOQBTxSRTB/uuRlO+O3Bz+ueQOcjfDF/UxJm0xNtgZ5axvB5uaT+dI6WPu7e7D+5nFqd2/n+9IW/rashBtfXcfIJ77m6n+u5dnF+6i1erh8dAaz4qT/j2vm3sL/XTuKa8dnk23q/YCbXBePK9uMsdJJW9JA+PIhqaJ+NOqK4YXR8Oc8eHMOLP417FssCWNX88EP8wAsMqlyl5Ddv1uHmsIBZFkEdre09/wOvwYQpdCLQ/mu3d/4nF93vYkgwJznQZsotVS0loKjHnIm0+BqIMElIsplpPziAUI2G/bP/8vT057m9mG38+KMF9EoNIT9ftwbNqAqKOjTXSVl+45Z6uHOFMcgFA7x5q43KTIVce+oezkn6xxe3/k6bT5p0LDUVsoQr1T1UmZFjzBWpKehbnUCUgAJSK0Uhb72PtwzRBgr0zMI1tUDEKitiYqAlRi9Q2EyEbS0Evb78VdUxoTx/wg9caUQgNeAPaIo/vWQQ18Akb3MW4H/HvL49YIgqAVByAcGAhv6bsm9x7FsGWG7nYSrrwIkwXU4iqQk4saNO237jD3FxYjxWspM/m4jk+cOnkuFswrXWSNwrlpN2O3u5i4nB1fJHlr0sGGQ9OXmWrf+mNeIokjz317AvmABS8cITMk9G9a/Iom2GV3bYcgcC+c/BnsXotz6FkkjxgPg2bunT1/L4Ti8AZatWYtpYxkAnz3zE258dT0vfLOfNk+AGybm8MpN49j8u/NZ+otzeOqK4ciapaHArOG9C2vojrjRoxlQJ7J23I1gLYfVzx/9gqW/B58Dzn8CbvoEflkCvyqFe1bC3d8e/LhrOe42SWRHBon6C1VBPhpvmNrKXdL3btIAyBgjtVNEaC2Fre9KccoJRxCB8Wa47EWpQv5R+4+unMnUOetIdIJoSkA7fjyaUSOxvDmPfH0uvxj/C+KUcYiiSOMfn8RXUoL5h3f27etrF8Y5duXBaOgesLx6ORX2Cu4ccSeCIHD/mPtx+p28sfMNQBLGA116EASUUbSFr0xLR2ZtQxEUOwnjbI8WBOGY4R6nC8oMqWIsiiL+6hpUZ1h/8f8CcrOZUKsFf3kFBIOxwbv/EXpSMZ4K3AzMEAShuP3jYuAZ4AJBEPYDF7T/G1EUdwEfAruBxcB9oiiGur/1qaHtk09RZmQQN2kS39d+z4R3J3DDwhv4y8a/sKJqRUeFRT/rAnwlJfgrKvpzuceFZ2sxzQUmlHI149PGdzk+K28WCeoEluTZEb1enKtXn7K1OfbtpiZJoDpDiUcrP6bHsCiKNL/4Iq3/+hd1M4bx1kwZZyUOk/pDB10I2RO6v3DyfTDgfFj8GwoGFQFQV/x9n74Wq8vPkl0NPLlwN5f+fTVjnlhMzWs/RhkCexwMqG5i4Tl1FD86i0U/PZvHLh3GhcPTMEcS5hp2ELAF8GgENAknHg2bMfk84n2ws7pCcmxY8zewVXV/cuVaKP9OGuaa9nPp/0p/5H7OcEMj0P8VvMiwi7HeLg3ggeTpW79NiogGqUVCoYazf3n0mw2+CEbfJDlSqA2QMlSqGDulN8eCIGC+404CVVU4lh10cLHNn4/to48w3303hgsv7NPXp8zKAkFgiNvYY2EsiiKv7XiNHH0O5+ecL70002AuLriYd/e8S52zjip7FZl2BYr0NGRRFL4QcaZId6upclThDXppdDeS7JSdEeEeEZQZGYRdLkI2G4H6+qjp847RcxRmM8HW1oODd7GK8f8EPXGlWC2KoiCK4khRFEe3f3wpimKrKIozRVEc2P6n5ZBrnhJFsVAUxcGiKH51oosUw2GaX34Zz85dxz75MAK1tbjWrsV41VUgCLy87WX0Kj0quYr39r7HT1f8lLPnn81vV/8W/fnSLxj7aVY1Djmd+EpK2J7qY2zqWLQKbZdz1HI1Vwy4gvmabQgJxlPWMiKGw1BZS00SzB16A9uzwzjWrO62ah+h5aWXaf3nK1jOH8ODk/YzMWMySVvfk7xozzuKF7JMBlf8EzRGRu18jxYDWHZsOaH1N9m9LNxex6P/3cns579jzB+Xcvfbm3lrXSVxKjlv5y8ivdRLU5qKwFUXkFsv4Fr3GMbald3fcO8iFE4ZzuS+6TWMHzMWANvmDYjnPwEIsLSbijrAymcgPlmqqh6DQDiAqtmOX6dBpu369XQqURVIg26ZrbC7dbf04PCrAEGqGjfslNoqJt0Duh5UGy/8ExhzIG8ayOTUuepIdIloUiUnAf35M1Hm5ND6+muIooh740Yannqa+HOmk/yzn/b565OpVCjS08hxqLtath2B9Q3r2dW6i9uG34ZcdtCm775R9xEMB/nt6t8SFIOYWv2ooqiNAuiwYxsSTKLKXkWtU9pBMdqDZ4RVW4SIM4VnyxYIBqOqah+jZ0RioX3794NCgTovr7+XFOMUcFok37k3bKTl7y9RdccdePf0bmvc9vnnACRceQWbGzezvXk794y8h3kXzWPtjWt5Y/YbzCmYwxelX1CudaIZMeK06zP2bt8OosjaJAvTMqcd8bxrB11LQAhTNyYT57ffEvb7T/raArW1yP1BnJmJXDfoOnbmCYTrGwlUV3d7fvNLL9Py8stUTR/IveO3c1bWNF6c+Cis+ycMuwrSjzGYpEuBq/5FVlMJdaly2F/Rq/XWWN18uqWGhz/Zznl/+ZaJT3/DT97byseba0gxqHlo9mA++tEUdjw+iw/Gl9BSsZCcRtBfey2j5v4YgB0tZvjgFqjZ3Pnmooh/7wL0bQLh9L7ZLlbl5RE0xJFebqck7JYqwbs+g8rDKuVV66HsW5j6sx7FKTc4G0i0hwmnJB7z3JONIjkZmU5HdqtwUBjr06Re8x0fwYqnpOrvWT0UrRqD1Dpy5b8AqHfWY3LJUKVI1XNBLsd02614t23HvnARNT/7OaqsLDL/8hcE+cmxZFdl55BsCWLxWmj1HDuE57Udr5GkTeKywss6PZ5tyObqQVezqXETAJpGG8ooGryDg4Kx0JdAlaPqoIdxq7vfdyf6EmWm1ILk3iB1EkaLZV6MnqMwmQnZbHj37kGdn3fGxV7H6J7TQhjbFy1EFheHLD6eqjt/iK+srEfXieEwbZ9+RvyUySgzM3lt52uYNCauGHAFIFVRx6eN59cTfo1KpuLDfR+iv+ACvDt2EKjr13nBXuHeuhVREDiQIXTbXxwhx5DDWRln8VlWA2GnE/cp8PmNOFLEDRpMnjEP56j2wIZukunaFi6i5aWX2DM5nYfOKuPGoTfx4nkvErfuFQh64Lzf9OxJC2cgTL6PUIIfQ4ODsLf7gTRRFClrdjJ/QxUPfFDM1GeWM+3PK/jFh9v4amcDhck6fntxEf+9byrbH5vF23dO4r7zBjAhz4S6eg2hRb+gvjKBoFxg5I33oR84BEdmAgn7QzTpk+Dda2DdK7Dol/DabPhTNhWtJSS3gTq7bywKBUFAO3IUg2pFVtWuksShIQu++nVnz96Vz0BcUo+qxQBVjirJwzgKhIogCKgKCxhg1x4UxgAjr5P6qvd9CWfdD3G9CCKJM0kCGWi016Jzh1EkJXUcTrjySuQJCdQ99BCi30/WP15Grtf31Uvqgionh7gmyRljr2XvUc/d1bqLdfXruHnozajlarx791J64UX4KyVf4HtG3oNGrkEbEMBii7qKcUT8ZrrVVDuqqbRL65a3WKPi662viLwBcG2QvNuVWbEe49MNeXvIh2fT5lgbxf8QUS+Mw34/9q+XoL/gfHLfeB1kMqpuux3/ESqOh+LZupVAbS3GK69kn2Ufq2tXc1PRTWgUnX0XEzQJXJh/IQtKF6A4TxqIOrS/MNrxbC3GmqFDn5jKgIQjBwEAXDf4OlantRGO05ySQUPbXilNMG2Y1Pc8bvwltOqhdfWKTueFnC4a/vwMtVla/nBuCw9P+g0PT3wYuaMBNv4HRt0oedL2lOkPYkwMIxOhboc07BcOi+xtsDPv+wrue3cLE576hhnPreThT3ewan8zo7MTeOKyYXz1s7PZ+vsL+M+t47lregGjshNQyA/5VqneAB/czFJzLmN2hfBPG9PheWmafTFF1SJfDLkCZArJ9WHbB9J1o+ZSOfQmVCFIyO87S8CE8ZPIaoVN+1dK1eALnoCG7VD87sH1li6HqT8FVc9aOCrtlSTZQZeV12frPBHU+QWkNYfY3br7YBtO0aUgV0vpcJN/dNz3djTUIIh0smCTabUk3nIzCAIZf/k/1AV951vcHcqcbGQ2B1qf2Fn8d8PrO15Hr9Rz3SApbMTyzjv4KyqwvCN9vpPjkrl/zP1cGSe9SY4mqzZAKnIYjSQ7BALhABsbNpIUjkd0ulCeAR7GEeRmM4JKhW/vXpDLz6hq+P8KivZY6LDLFRPG/0P0KuCjP3CtWkXYbsdwySWo8vLIef01qm6+harb7yD3nbeP+sOmbcECBK0W/YwZPL35D8Qr45k7ZG635143+Dq+KP2CJeGdjB84EMeSJZhuuflkvaw+QwyH8WzbxvZBkhvFsWykzsk6B7MhjYp8D9pt20/6+lp3F+PSQVHzDnjnamZd/Ge+zPsbhvUbEMNhBJkkOFv++U/CzS38+zY1L57/EtOzpkP1RvjqVyCG4Zxf9e6J40zkjTsPlqzmm8/eZtXueDZWWGjzSGEaGUYNZw9MYmK+iYn5JgqS4ntmwVX8Hiz4GaIhnfUtCVzn9ZB180FRlnXJ1ZS//h4Vy5cQfGwDCm8bJORKdmFA8/zfkwWkDuy5V+2x0I4eDYBn2zaclzjRDb8aNvwbvvmDFCv87TOSeDxKrPDh1LWUMcYL+qy+S3g7EVSFBcR97iHg8NPkbiI1PlXysZ7zF9Clgfr4qrlhMYy/WXKaVCR39iZOuvdeEq666pQIGlWOFKIyyp96VGHsDrj5puobflD0A3QqHWGXC8eXX4FMRtvnn5PywM+RxcVxy7BbcDRkUsPKqBz6UqalYbBJrVwbGjYwIZQGtJ1RFWNBEFCmp+OvrESZno6giPpftzEOIxILDbHBu/8lor5i3LZgIXKTifjJkwHQDBpE9n/+Q8hqpeqOO49oOyb6/Ti+Wox+xgxqwxYWVyzm2kHXYlB172M8MmkkQ0xD+GDfB+guOB/35s099tvtT/ylpYQdDnamBzr5Fx8JhUzB1YOuZofeiq+8HDEYPOnrq04SKNr2GRxYRu6mebQOy0Tp8EiVFMBXVk7LvDdYMVLg8ssfYro2Ez68BV47X4o6vvIVSDx2+povGGJThYWXVxzgltc3cPeBGXhUoCzZSGmzkwuHpfHctaNY9avz+P6RmTw/dzQ3TMw5ZsIcILUlfP1b+PxeyJ7E2sv+j0HrGggkGdFNOdi+oi4qIphmpmi7nZXNWyAxr0MUA9grpOGq+Jy+E5zaEcMRZQIDaoKsr18vPd+Ff5Ks7T6+HUq/kVosDqsWe4IeymxlrK5dzbr6dbgDB7+XrFVSC0xkO7i/iThTZLRKNmQdjL0FBs067vu2eFrQO6TvgUNbKaBd2JwioRap6o7ypx1VGO9q3UVIDDEpfRIA9q+XEHa7SX7g54QdDtoWLeo4118l7apFY2+rMi0NdavUOuIJeijwn1kexhEifcYxD+PTk0gsNMSE8f8SUf0WNuR04lyxgoSrr+5k4aMdMZzMF16g+oc/xPbpZ5hu+kGXa53ff0+orQ3DJXN4Ydc85IKcm4ceuQIsCALXDb6OP6z9A/UTbkH1DylcInHudSfltfUVkWCPkkwZk9Mn9+iaqwdezZNJ/4BAAH91Ner8k1MVFMNhNDUt2Mdo0Ac8UHAufP8iOaNvg/k11K9cQl5REeV/+B1eeZgD103kubJi+Oin0hb5uY/AlJ+AWtft/T3+EFuqrO2pcq1srbLhC4YBGJyqZ8a4EbSsVZJo9bHi1gxIHnR8L8TbBh/fCQeWwoS74MI/8dFHd/DDChHzPXM7DWQJgkDShZcw8u15/Lv4PWbmzOx0q2BtLaIAysy+m1CXxcejHjSYoroDrK5bzczcmZA5Dkb/QGqnOKRaXNZWxu/X/J4aRw0Wr6XTfRSCgqHmoYxLHYetShLwEWut/kbV/jWa2Sqy37afszKP3EvfG+pd9SS6pL8fXjE+lSjbe84HunTUubZj9VpJ1HQdfNzWvA2Q3sgD2D79BFVeHuYf/hD7goVY33+fhGuuQRAEAtXVyPR6ZEZjl/v0N4r0NMTiYjRyDd6QlxyP9KbtTBPGinYPcFWsv/i0RGGSKsaCRhPrEf8fIqqFsWPZMkSfD8Oll3Q5pps2Fe3o0VjefJPEG67vMi1uX7AQeUIC3nFFfP7FQ1xWeBkpcUd3ApiTP4fnNj3H/MBa7khPx7VubdQLY0/xNlzxCpIHDidBkwChAHz3Fyny91CMWVJMrkxOSlwKiUNGwMKt+EtLT5owDtTVo/SHkRuDkD4KbpgPr87gvLIv2WtWoFu5hIQBRYjrtrBwdhy/adqD0PyFVAU89xHJeeAQ7N4AmysOCuHtNW0EwyIyAYZlGLlpcq7UGpFnIjFemh5etnQA5tV7sH/7FIZr5/XuBfgcsOVtWPsyOBvgkudh/B2sqlmFYfkWZCKYrrm2y2XG2bOxvTmPwOp1VJ1bRY4hB4ffQZ2zDmWDFW9ifJ/7ysaNGc3Az/bzn+o1iJNFqQI+81EoXQFn/6LjzcWiskXsbNnJlQOuJEOXIX3EZ+AOutnSuIVNjZt4e8/bnN0sbXMr0qKjYqzKzgalkgE2ZeeK8QlS76wnQQphQ35YxfhUItfFIzebSbMBOZIt3dTMrjtA25q2kWfII0GTgK+8HM+mzST/8hcIgkDijTfQ8PgTeLdvRztqFP7qalTZ2X2a0tdXKNPSCbe1UaAZzG5XKSlOuRTu0Y9vTk4GkR2XaEoejNFzZEajZNNWWHjSHGliRB9RLYztCxZKlbXhg/nR0h8xLXMaPyj6QccPetOdd1B7/09xLF3ayXQ/7HLhWL4c4+WX8f6BD/GH/Nw27LZjPl+cMo5LCy7lk/2fcPfos/Fs3oIoilH5iyWCa+tm9mSEOCvyS3Tr25IDgcYIRNYtSlVPSylc8jcQBNKHTwC24izZ2+Hf3Nc07ZIso0yaNhj7U1Bq4ZrXyf73uSzLS2HsjkpK//A7LElwbo6NJHsQbv5MqiwDFpefDeUW6aOild11dsIiKOUCI7MSuGt6ARPzTYzPTUSv6T4UwDRqEtpv9rBz+1LOOm9/zwb4HI1Syt6m16T/t5yz4JrXIGcyrZ5WHl31O/64U45m0vhuK0HaUaMQksxM3mfltsW34Q16cQSkbePHbSGEjL4fMIobPRrV+/ORVdZR5agi15ArvbF4YCcc4nO7rn4dw5OG8/hZj3e5R8Tqzxv0cqDuKRA+QZkaHSlkgkKBKjeHAW1W5vehMK5z1ZHgFJEZjf0egqHKzkbeJKn07oSxKIpsb9ne8Xlq++xzkMsxXn45AIZLLqXp2f/D+t77aEeNIlBVhbqo6JS+hp4S2YkYEkhmN6UktAWRJ5nPODssZYa0MxTzMD49EQQBVVYWmhHD+3spMU4hUSuMgy0tuNauxXzXXSwsW8iaujWsqVvDjpYdPDblMeKUcehnzECZm0Pra6+jnz27Q8A6lq9A9HhQX3gB8/c+xPm555NnzOvR884dPJf5++azJ0sk/6smAjU1UdmjB9IbgEBFFaXTBK7InAYBD6x8FrInwR1fd+ptZdkTsPqvEJ8CM37L0KxxNBkhuHsrJ6smWLtjPQYgTx+C4ddID6YUwYV/wtj8B1R+LapmJ1su93O32kzLNfP43mZkw+c72FBuoaRREglqhYyxOYncP2Mgk/JNjMlJRKvq2bv3/HHn0sCbVDrjOOu7/4Or/n30C7Z9AF/8RKq8F10q+f5mSY4aoijy6PePMmSHDbMl0G21GECQyUiYNYvxn3zEVv0gUk05ZMRL1dns/zyBYVzfDd5FiAzgDaoVWVu3VhLG0EkUO/wOdrXs4s4RR4801ig0mOxhXMnJUZVCpi4oJHXHOg7YDvTZG9Z6Zz15HgXKlP6vVKpyc3Bt2Ei2PrvbPuNI+8uo5FGIwSBtn32G7uyzUbZHKMt18RivuBzbx5+Q8quH8NfVoZ91wal+GT0ishNR4JdmPuKsnqjZnehLtCOGI9Pr0Q6PCavTlZx585DF900gU4zTg6gVxvavFkM4jGHOxby3+1cMMQ1hdt5sXtzyIgdsB/jbuX8j25CN+fbbaXj8CTybNhE3QYoKblu4AEV6Ol8bKnEEHNw67NYeP++AxAGMTRnLx67dPAS4N2+OWmHs3bcPQRRpyIxjeNJwyTPXUQ9XvdpZFIO0re5qhu+ehfgkho28hsVmgfjSvqu+HY5z3y6COhg77CLQJhw8MO52xu9YhG3ZbvYWikxKGcDF7p+y+5+SP7VOrWBcbiKXj85kcoGJ4ZlG1Irj28YyDh1JnQAud4IUBjH9V5B0BEs7bxssflhq+7jyX2Au7HR4/r75rC9byWvfxaMuKsRw8UVHfF79rFlY33ufP4QvJS57DMGWFoKlzdQ0W1CdhEEcZU4O8sRERjf6WVu3luuHXN/lnE0NmwiHg5zVasb+1VcEm1ukdbW2IDcYMcyZg2bYUARBIFjfgCJK+osjqAry0S1bhtcvUO+qJ0OXccL3rHfVM96tQJHV/8JYmZ1D8IsFjDRcyNbWrimfxc3FAIxKHoVz9WqCzc0Yr76q0zkJ11+P9b33afnHPyEQiEpHCjhYMZ4kFHJz0c3IPvwOZUF0OKD0JeoBAxi8cUN/LyPGCRAtu2YxTh3RK4wXLkQ9ZAjFegulbaX8ceofuWLAFRSZivjVd79i7qK5/PnsPzP1iitofuFFWl97nbgJEwhaLLhWr8F0+228t+99RiSNYFTyqF4999zBc3m48VeEdXF4Nm8h4YorTs6LPITGPz2DqrCAxOt63tPs3SVVlcyjJqAIeKSKcMF5kH9215MFQWqjcFvgq19jjk/Clq5DvaEZMRQ6Kf1TsvJKLCYR7bjbEUWR0mZXe2tEK7vrb+H6Sx6jWTWAZ5x3Mi4/maummJiUb6YoXd/ZN/hE1qDV4k4zoql3EshWo1z6KFz/btc3DgBrXgCPBS7+rIsoPmA9wHObnuOnO7NQtVSS9sI/jvp/Fjd+vBQQ8csHuxzTDB16wq/rcARBQDt6NEV7NvGvhg0Ew0EUss7f3uvq13F2iYK4Z/5IbeRBhQKFyUTIasXyxhuoCgsxXnYZ/spKNFFW5VJl5yCEwyS1yTlgO9BnwjjBKfZrf3EEVW4OiCKjA+ksci3tMoC3vXk7cYo4BiQMoP6Tl5GbzejPPbfTPTSDBqEdPw7rB5J3drS+qY/YspkdIr+a8Cv2NX5E/Fl9M1AZI0aMGCdCVApjf1UVnm3bSHnwlzy/+11MGhMX5UvVuamZU5l/yXweWPEAP1n+E96b8x4pP/gBLS+9hO/AAdwbN0IoRNnELCrKK/jT2X/q9fOfn3s+Bk0CdfkKNFu29PXL60KgsRHLvHkIGo20NdpDiyzr9k3Y4mHo4KlStdjdCjN+f+QL5AqpV/btq+DTe5BnjkcRcBCorUWV0zdJbBGCwRAJjT4sw2Tc+52KDRXLaHVJA13JejUT87NR5n/OFflmHkrRIZOdvD5u2aBCsou3sHvKnYxa9RJsmw+jb+h8UlutNGQ34jrIGN3pkC/k49erfk2uQ82E5XUYLr2UuHHjjvqcgkJBxrN/xrNzJ4rkZBRJSSiSklGkpnRsffc12lEjMaxYQdghZ1frri5vCNfXr2duixlZnI3c+e+jSE5GbjQiyGSE2tqwL/6ati++oPn55wHQXxBd2/ARy6tUm0iprVTyuj4GDr+DNbVrcAVcXD3o6i7H6x11xNv9UTH0pcqTKqYD7VJk9+F9xtuatzEiaQSirQ3HihWYbr6521aXxBtuwLNJiiNX9lHCYl8jU6mQm80EGxoIOZ2Enc4zKtwjRowYpy9RKYzt7V6czuljWLn2Re4aeRdqubrjeLY+mzcufINLP7uUP63/E6/f+AKtr75K65tv4i+vQD1wAG/5viVJm8Ts3Nm9fn6VXMX0zOlsSPmarG8aCVqtHclmJwPH0mUAiKEQTc/9lcy//F/Prtu5nbJUgXEJA+G/j8DgOZB1dMGGUgs3vA+vzSKxqQaA1j3bSD9BYRwIhdlVZ2dDeSvryyx49n7F7wNQHZfM9lo75wxKZlKBiYn5ZvLMcad0oDF5xHjiVm5hU3wmo3LOkkJD8s+WnDoifPu0FCQy43edrg2Ggzyz4RlKrCW8vWEoMuUBUh7sWgXuDt306eimH1u89RWaESMAGFAPa+vWdhLGTe4mSttKGVCXjGbECDSDOlvXyY1GEudeR+Lc6/BXV+NcvhzdjBmnbO09IVL9HODWc8B24IjnNbgaWF61nG+rv2Vj40aCYcmneEzqGAqMBxPsHH4HYYcDeTAcFcJY3d5KkNYSAl1nYewOuCmxlnDH8Dto++ILCAZJuOrKbu9juOACGs1mQm1tUS02lWlpBOobCDY0AJxR4R4xYsQ4fYm6gA/35s20vPof4iZPZr5tGXJBztzBXdPq9Co9Px/3c7Y1b+Nr6/cYr7qStv9+gWfzZkLnT2V13RquG3wdSvnxDQ9Nz57O1nQfAJ6TXDV2LFmCNV1PxSWjsS9ciHvL1mNeE/b5UFY2UJehZuCuLyVrsRm/7dkTahPgvEfIVzQDULtjXa/X7A2E2FBu4aXl+7n5tfWMemIJV7y8hqe/3Et5q4uLxdUATLj4BtY8PIO/zh3N3Ak55Pc0Ya4PMY0YC0DNtrVwxT+ksI7/3gdhyfOYxl1Sot3EuzsFiZTaSrnpy5v4uORjHgqej3rtdpJ+fG/U9pxp24XxlLZk1tat7XRsff16lEERXUUz2pEjjnofVXY2pltvjbpteEVqKoJSyQDXkYVxrbOWyz6/jD9t+BMN7gZuHnozfzvvbwAsr1re6dx6Vz0JEQ/jpP4XxrL4eEkcVtaQo8/pNIC3u3U3ITHE6JTRtH36GZpRI48YOCCoVCTf/xOMc+ZEddqaIj2NQEM9gYZG4MzzMI4RI8bpSVQJY/eWrVTfdTfKlBQSn36czw98zgV5FxzRf/iywssYkTSCv27+K9qb5kJ7ituiwjaUMiXXDureNaAnTM2YSlWGgrBChnvzyRPGwdZWXJs2sazAye8L1qHutAAAKgBJREFUthAyG2l8+mnEiGg7Ar6SEmRhEdmgPOQb/g0jroHUYT1/4iGXMlSfRKseHCV7jnm62x9k9f4Wnluyj+v+tZaRTyzhun+t5S9LSmh2+Lh2XBYv3ziWDb+dyfKfnUV8axUAY8+76hh3Pvmoh0iWVZ69exAT82D2k1D2rWTHBrDscSlS+OxfAhAKh3h95+tcu+Ba6px1/GXKM0z9cA+qvDxMt9zSL6+hJ8gNBlT5+QxvVLO9eTuugKvj2Lr6dQy36CAYRDOy710xTgWCTIYyK4tMu4IyWxlhsev3yLfV3+IJenjn4nf44oov+MW4XzAzZybDzcO7CmNnPYlOEejfcI9DURcU4C8tY6h5KLsOGcCLBHsMU+biKyk5psVi4vXXk/HnZ07qWk8UZVo6wfoGgg31AChSY8I4RowY/U/UlBPcW7dSfdddKJKTyZk3j4+t3+AMOLmp6KYjXiMTZDwy8RFu/PJGXrd9yfVXXomvpYn325ZzUf5FJGmPMFDTVgtBb+fH9Omgijv4T5WekZnjqcraQvzmzX3xErvFsewbhHCY4qFaCv6/vTuPj7o6Fz/+ObNkliRkD4HsYQkJJOxBkEUWca3YqqhYW69bta63te3t79ZetbVXba29llqXVlxRq6KIWjdQ2UmAQGQLSxKWJGQhK9mTOb8/vpOAIQiBJDMTnvfrlRfJd77fyTMcEp4533OeJ2ooL07bx23vb6N66QcEf//Kk153ZIux03lgSBsUNRkNMbrDbCEg43aOfPJ3gvMPnPBwdUMLm/ZXsCGvgg35FWwrNJppmE2KUYMH8OPJ8WQkhjExIYRg53G1Rw9mwbInaa3QHA2w4Ajz/OyqJTKC1gFOBhbWk1+TT9L4/4CdH8JnD4LJAns+gwt/B85Qio8W88DKB8gpy2FO3Bx+c95v0K8uoWz/fmJfeN7r66w60tOIWPkVra4WNh7eyIzYGWitWV+8nh/WRgPVONK7txnVm1hjYwgp3EdjWyOFtYXEDvj2rPbaorXEBcadsL56Vtwsns5+mpK6Egb6G8sLjBrGxuPekhj7DRlC1bvvkhp6KZ8UfNKxAW9r2VbiB8Rj32/MrtpHeGd94u6wDorCVVdH0569oJRXlMwTQgivSIxd9fUcvPU2LOHhxL3yMubIcBavXUxaeBrpEd89u5UWkcaVQ6/k1R2v8oNfvcfqwlXUZ61nQcqCri9Y9WdY/vCJxwMHwc2fQEhCx6HpMdPZErWWhI3bcTU0YHI4zuJVdq3qk485HKoYOelSfjL6Dq6tuYZLNoP5yScJvPBCzAFd1088nL0ObYdRFZuMjWSdqiiclnE/oi3kGQZsr6Osup6NB6rdXeUq2Hm4Bq3Bz2xidGwQP5mRREZiGOPjQwiwdfpn43LB7k9g7dNwYB0uexCOqgDqY8K6/r59TCmF34hk4g9kk12SbawznbcQnjkPPrwfgmKNZRTAwi0L2VO5h8enPc7F8Rdx5Jm/U/7MMwTMmU3AtC6qfXgZe3o6pqUfMKjOwbridcyInUF+TT6l9aWMOByGJSrKa5eCnA6/2DjsmzeB1uyt2vutxLi5rZmsw1nMGzLvhOtmx83m6eynWXFwBdePMDZeFtcVE1ZvAlxYIjxflQKMdca6vp6RLmP2dMeRHUwZPIWcshzOjz6fptzdxnnJZ9je3Iu0rylu2LKlXzb3EEL4Jq9YStG8fz/m8DDiXnkZ68CBrC1aS0FNATek3HBa19837j7sZjuPZT3G4p2LGRs5lpFhXSwr2LHUSIpHXG7U+m3/uOKv0FJvVGs4WtZx+ozYGeyMVdDaSsM33/TUy+3QWllJw4Ys1iXDNcnziQmM4eGpv+OZC5poKy/nyPMnb0bRvCuX/VGKkQ1HYcp93f7exdUNLM2tpyEsAnsL3PDQQu58fTNvZh0gxN/K/bOH88Zt55Hz0FzevmMKv7hoBDOGR3w7KW5phE0vwzOT4M3rjZn4ix9j/83/ZlC5xjo06eQB9LHgkaOJK4fMQvfa2wGD4dInAQVzHgKrHZd2sbpwNTNjZ3JR6BQO3Xkn5X/7G0Hz5hH9x9PbEOlpDvcyiQvrElhfZKwdb/8zZF95x+O+yhobgzpaj38j7Kv+dg3uzaWbaWht6LKVclJwEgkDEr61nKL4aDExTf4oux1TQECvx346/JKMN7gJVcbeiB1HdlB4tJAjjUcYHTGapt27MYeEeM0M99lor77TuGMH1n7Y3EMI4Zu8YsZYWSzEv2wkxeUN5Ty16SnCHeHMjZ97WteHO8K5Y/Qd/GnjnwC4f/z9J55UlA1LfgIxGXDVP8Fq7/Qkw+GVefD61XDTh2ALJH5API0p8UA+DZs24Z+RcXYvtJOjK75EuVwUT0wkLTARWpuZEz+HzNkL+Hrza0xf9CLB8685oe2wbmkh4MAR6sdorMmXQsR3zx5prTlQUd8xG5yZX8GBinoALrKMZxyfcWvAaobcehtp0UH4WU7xfqmhErL+CRueg7pSiEo3/k5Tr+RIczXPf/Rf/KgZAlLGnM1fT4+yp6RgbYV9W1fRMr3F2JSZfg0MmQn+xmzhtvJtVDRWMKcxifyrrqa1tJSohx4i+Nr5Xt0W/Hj25GSU1cq4I4G8Ur2ZkroSNhRvYLiKQhcewrHg9N5seqv2DYEjm8LZU7nnW4+tLVyLxWQhI6rrn9PZcbN5efvLVDdVE2QLoriumMkNVizhgV4zvu2VKSz7D3dswGuv15wekU7j7nexJSd7Tbxno32znW5p8erqGUKIc4tXzBjbhg7FGhXF7srdLPhoAQdrD/LwlIe7VVFiwYgFJAYlEuUfxay4TmWmaorgjeuNBOi6109MigHizoNrXobD38CbN0CrUZEiY9gsDkYoajdmnc1L7FLRR+9SGgRTplyJemYSPD0WtrzBA+N+xsZ5ybhaWyl8bdEJ11XkfoO1VeMMboQp95zwuNaaPSW1vLZ+P/e+kc3k/13BjD9+xS/fyWH5zhJSBgXy4OWpfHjPVP704P8DwK94D+OjnadOijcugj+PhBW/g6hRcOP78JOVkHY1nx5czveXfp/qjRsAiE33noL9tuQRAEQUHiXz8HGdqPyP3UJfeWglowsg5oFn0C4X8a+/Rsh11/pUEqL8/LClpjD4gLHxbm3RWrIOZzG3zki4fH/G2J0YN4axr+rbM8ZritYwLnIcTquzq0uZFTeLVt3KykMrAffmuzrlVbOv5vBwTAMG0JS3r2MDXk5ZDg6LgyEDkmjavQd7P1hGAWCJjAST8fumP7aDFkL4Jq+YMUYpVheu5oGvH8Df4s9LF79Ealj3uoNZzVb+MfcfNLU1YTUdl1A318Eb1xnlzG75DAK+Y31l8sXG2tP374T3fgJX/ZMZsTNYG/Mi0dnZPdohrq22FteGLWycaOX2bZ8a7ZojRsD7d+C3/m/8duq9rBryMCnvv0fCL/7ft77vvvWfEgjExw2CuMm0uTQ7i2s6ZoMzCyqocDfTiAy0MSkpjIzEUM5LDGVIROdmGkHUBphprmyBbUtObHxxvKZaY8NaVBpc9ifjT6CysZJHNzzKp/mf8OPdg7jsQ401Lg77yG5UyehltqREsFoZVq5YfmB5l7fbVx5ayfXbA7EEW0l89x0soaEeiPTsOdLSaVryLmFXhLBo+yJqW2pJL3OAydQrXff6Uvvdk6Q6J69X76DN1YbZZKasvozdlbu5f9z9J712VPgoIh2RLD+wnIsTLqasoYzA2gAscd6TGCulsCUm0pyXT+rVF/BJwSesPLTSaOxRWIxuaMA2PNnTYfYIZbFgiYigtaREZoyFEF7DKxLjysZK7l5+N0ODh7Jw9kKi/M+sbM8JZd1cLnjvDmMW+Po3T6+c2ZgFRpL6+W8hbChjLvgVixMcmLLradq9G3tKz+wGP/LFp5jbXFjGJBC49wu45AmYeBtsXwLLHybundtoSBuO472jFK74mJgLv3fs2szlWPzgcNwCbn55I1kFFdQ2GqXqYkMdzEyOZFJSKJMSQ4kLPXUzjfrYcJyVJbjW/w3T6Ou6bpcMkPMWNNfC3N93JMXL9y/nkfWP0FhXzcINyUR+vQP/6dOIfuIJTM6uZ+48QVmtOFJTGVeyn4cPfslvzvsNJnVsdrysvoydR3aQVOCH/8xpPpsUg9EBr/K117hIZ7C4eg0AkflVqGHDMPl3vZnTV5icTszh4URVKZpdzRysPUhCUAJri9YCfOsNj3a5aNy2jdrPPqOtro6oBx9kZtxMlu5dSkFNARqNvaoBixe0gz6e35AhHF25kpFhdwFw6OghLkm8hMbcXABsw/vHjDEYyylaS0qkVJsQwmt4RWJcVFfEzdE388T0J/C3nuQ/7uIc8I+AAd245bbmKdj5Acx9FIZ3owPe+fdB6U5Y/RTW1HkEZ0yG95ZTt3FjjyXG+UsX0xIIFzRmw/BLjKoIShn1iFO+B5kvMPerJzjs8Kfwpf/j0JApZOZXsCGvnBv3FlESAfdtiScxoo7L0wdzXlIoExNCGRzc/coZ1iGJDPqshP1lO0ksWG10hetMa8h8AQaNgZgJVDVW8YfMP/Dv/H8zxZXE/UucsG8n4XffTfhP70SZvGKVzrc4MzKIfPEbaqtrySnLYUzkmI7HVhWuYlAF+NU04DhFu2dv197oY1JFKIsDYURIMq3bdzHgou53gfRGfrGxDChvAGBv1V4SghJYU7SGMHsYw0OG07B1K9XLPqT2iy86uqqB0Sp5Vtws3sp9iyV7lmBt0ZjrGrF4WZkwW1Ii1UuWkGyN7jiWHpFO05ptYDJhG3oGFWi8lGXQINi6FesgSYyFEN7BK7KXCEcET898+uRJ8a6P4blp8OcR8Mxk+PS/Ye8X0NJw8ifdtwJW/B5GXQ2T7+p+UBf9ARwh8ME9jE+bS/kAOLzuy+4/TxdcdXU4Nu5i9zAT6dYBMO9v35qlPdpmZmX4tXw1YiEHhmkitxTy5LN/46kvdjOwKouBZZqGmHAyfzOX5T+/gP/9QRrzxkSfUVIMEDZiNM5m2GWNNGbKu2ouUrAKynZBxu18efArrlx6JZ8XfM5v2y7hZ88UYyqrJPb554i4+y6vTIrBSIxVm4uUItMJzR5WHVpFRmmgcd6ECZ4Ir8dY4+MxBQURX2gsp5mtUnHV1OAY7dvri9tZY2OwHD4CGIlxm6uNdUXrmDJ4Ci35+ylYcANVb7+NfdRIBj/+GIlL3gWgPiuLiVETCfQL5L297x3reudFa4zhWGUK68FS4gKNVu3pEek07c7FLz6+V8pGekr7BjyZMRZCeAuvyGAinZGYTSdZu3tkn7Hed9AYuPARY41w5gvw2lXwx2Gw9c0Tr6k6CO/cYqzZveLpky8N+C7OULjkcSjKZlpxLrkxJpqzc9Bad/+5Otn50WKsrZrwwUdRP3iBajWAL3aU8OhHO5i3cDWjH/6MH72YycMbLaxPuR5rG1xf9SrbbvRjgd/H2FsgeupFhAfYzjoWgMFpkwAo9kuBos3GkonOMl8ARwjPUcm9X95LhC2MxYWXM+qJZfjFxpL47jteX+fXMXYsmM3MOTKI5QeWd4xlS1sL64rXMaUsGHNICH6JiR6O9OwopXCkpaF27uPZOc8yr8lYV+yrHe8684uJpe1wCXH2weyr2sfOip1UNVUxJXoK9VlZ0NZG4nvvEbtwIUHz5mFLScEyeBD1mVlYTVZmxMygrqXuWHMPL1tKYRtilDlszstjQtQEkkOSCbWH0pi7G1ty/1hf3M45KQP7yJE+XVtbCNG/eMVSipNqroO3bgSTGa59FYLjjGUOzfWwfy2setJImvd9aWwGswUatXX/dSO4WmH+q+B3FmsqR/4Act4m6OsnOZo8EvuOIloOHeooGXWmil55Dv8AsCZewsVLNbklnxnNNCwmxsQG89MLhpCRGMq4uBCcfpewZvUybHvqaHt3AfsPB5CKnaGTLz2rGI7nHGb8Z3u05CgMHW+0SE75HtjctV2rD8Guj2DK3by77wMuCBzHzz8w07D2HYKuvoqoBx/EZOuZJL03mQP8sY8ayciDVRyoPcC+qn0MDRnKptJN1LXUEZtnxTF+nE9VoTgZR3oa5c8+x+SQsZTuWIHJ6cQ2pH/cgrfGxYLLxVhXDNur9rKmcA0KxZTBU2jI/iPm0FD8EhM6zldK4T8xg6OrVqG1ZnbcbD7M+5D4lkCgyutmjK3R0Sirlaa8PH4979e0uFpw1dXRcvDgd3bD9EWBM2cSOHOmp8MQQogO3psYaw3L7oPSHfDDd42kuJ2fE4bNgaQLYOUfYeUTcCgLrn4RNi0yahZftxjCh55dDErBZU/C3yYxMMxoIV288jPib7ilW09TVNXAhvwjZOZX4J/5FFftrSNrkpUnDn+PsQk2LksbREZiKKNjg7FbT5w5D7tqPmFPL+IDWxK6qpoWiyJ0RM/N/llCQ2kKtGE5UEzrT1/AsugiWP1nmP1b44SNi0C7KB11JbZXlnDLsmoaaxqJ+t0jhFxzTY/F0Rf8MzJoXPQS9mZYfmA5Q0OGsvLQSiLrLFiKy3H+yLeXUbSzp6eDy0Xjjh005ORgHzWqxyqqeFr7G9PkxmA+at3MykMrSQlLIdQeyr7sbBxjx57w5saZMZHqpUtp3rePKfFTsJltxDZ7Z2KsLBb8EhJo3peH3WLHjp2GnVtB6343YyyEEN7GK5ZSdCnzBfjmbZj13zB0dtfnmC0w89fw42XGeuMXZsGml2Dqz2DEZT0TR1A0XPgQkxp3UekPh77693eerrWmoLyOt7IO8LN/bWHq4yuY8tgK/vOtrbTkvE3KjrU0+EHy/a+S/dAlvHrLJO6ZPYxJSWFdJsUAw667lTaTonxXC85yC7VxYShLz76nccVHM6islX2BIZB+LaxdCJUFRj3nzS/D8IvJaa7gpi/a8HOZiH/9dZ9LigGcEydCaysX1SWy/MBywFhffGmNsXzCOcG3N961a9+AV79xI425uf1mfTGANcZIjONq/Gh1tZJTnsP5g8+ntaKC5v37cY4dc8I1TndznrrMTJxWJ3eMvoPxliQwmTB7YQUSv6QkmvLzOr7ujxUphBDCG3nnjPH+dfDpr41qDVN/furzE6bCnWvgo58DGmb9pmfjGX8zSd+8y4a4AoZl56K17piRcrk0e0qPkpl/hA35FZTk5VBW10qBjiLM30ZGYii3TE1kjms1Oz9fRPSeQCqvPJ+pY0ef9re3hIbC+eOZtHkj1lbQc3p+1ihweCoxH+extXQLyXMegp3LjI14Iy43ytdl3MbW0mwuKIWg71+EI21Uj8fQFxzjxoHZzIyycJaGZLGheAMFNQVMKB2Dcjp7rOqIp1nCwrBGR1P1r7ehpaXfrC8GsERGoGw2Iqs0BBvHpgyeQsOWrQA4xow54RprTAyWqCjqM7MIXbCAW9NupeitAo6GhXrlTLptSBK1n3+Oq6kJk81GU+5uTP7+WAcP9nRoQgjRr3lXYny0DL5+3FgOERQL33+2ozPSKTlD4ZoTu8T1CJMJrngaZ9Yl+O+ENV98xi77MDLzK8gqqKCyvgWAGQGFzG99lIHORib7R2IZNhs1ZBY076bxg/v4ZM8gBpk0E+//fbdDiL/uJg6t2ghAwLie7ygXmpJO65IPycldxfwR1xqz7l/+Hg5mQdhQSJpJ/hvPc2kTOEf4bvJoDgjAPnIkcXtrYDg8uuFRAKL2VOAYM7rHZ+I9yTE6nZqPjTscjvTTfyPm7ZRSRmWKslpMiSYcFgejI0dT+fpfwWLBPurEN21KKZwZE6lbs7bjjW1bWbnXLaNo55eYBC4XzQX7sScPpyk3F9vw4V5b8UUIIfoL7/gtq13GWuGnx8LGF2H8TXDL5+AI9nRkNLe62LS/gme2KQ7FzQVgy2u/5/cf7SS3pJY5KQP549XprLl3DA86nibhfSdNn4TygjMU1zfvGBsB37+Dt0KTychx4bp4OrYzKE0UMH06hAQBED56Uo++RgD7sGEAHN6eRZurDabcDUFxUFsEE2+lRbfR1H4718db0jonTsC1YzcpziTyq/NJ8YvDtTff5+sXd2ZPM2aJLVFR/W7Xv19MLG0HCxkWPIyp0VOxmqw0ZGdjT03FZO+i5TvG+vK2I0dozjOWKLSWlXldRYp2HZUp8vPQWtO4e7fP/9wJIYQv8I7psdIdRs3hEZfDnIcgfJjHQmlobiP7YGVHe+XNByppbDHq+g6LmE9ayFfElZax6ddBhI2YalzkcsHia3jpQBOTGi04mxUtb5Tyn/95IY+MWkDrkT2UPP8cVhcMuftXZxSXsloJu/oaKt94E9vwnv/7sQ01NiqGFR5lV8UuRoaPNCp9fPkHGLOA3MpcBh02ZsZtw3z7P2j/jAwq/vkiVzSOYCd5XHZ0KOg8nP0sMXakp7n/7D/LKNpZ42Kpz8zkuQs/w2a2oVtaaNi2jeD5J1/37pw4EYD6zExsQ4bQWlaGLWVEX4XcLe0lA5v27cNx+DCumhrssvFOCCF6nXckxmY/+I9/Q3zPLxE4ldrGFjbtP5YIbz1URUubRilIHTSA6zPimJRodJULC7CxIj+VmJXbaf74Dohfbcxqf/04NXnLseZFUx9iI/mJ/4M772TOXzfw41sKSQxK5IebmrHMnIrtLGrkRtxzDyE//CEmP7+e+wtws4SHYxoYyZDiMtYVrzMS4+EXdXQM3Jr/IfFlGlP0YMwBvt1W2DF+PJhMZBQ78Y/xZ8JBJ1gsOEb3n+UGAPbUVMzBwfhPPf/UJ/sYv5hYXPX1BDUoLKEBNHyzDd3YiHPs2JNeY42LwzJwIPVZWQTPn09rRYXXLqUwORxYBw+mOS//2MY7SYyFEKLXeUdiHD68z5LiyrpmsgqMJHhDfgXbi6pxabCYFGkxQdw8NZHzEsMYFx9CkMN6wvXxc75P8xfbWVdSyw8+vB9GXw9fP8YH8VMZ/WYelmvnEjBtGnF/+Qvqvvu4+dUSNscW4t8IsXfee1axKz8/rAMHntVzfBf/9NGkbv6Kl4rWc2vard96bGvZVi4pM+Mc47vri9uZAwKwp6aicvaw/pfrKbjhh+iRqf2qoxgYydXQlV+jrCf+O/Z11tgYAFoOHMASGkpDdjbgbuJyEkopnBMnUrd+PW2VldDWhiXcOxNjAL8hQ2jKy6Np9x4AbMM8dydNCCHOFadMjJVSLwKXA6Va61HuY6HAW0ACUADM11pXuh/7NXAL0Abcq7X+tFciP02lNY1ktifCeRXkltQCRjONsbHB3D1rGJMSQxkbF4zT79TvExIuuIxd6veUVkfC9vdg10e0RY1i765Kxrsg4eobAQicM4foxx5H/fKXDM/X2CZO6Cih5a3s6WmEff45uws20dDagMNyLFHcWbSFHx9pxd5PykU5MzKofPVV2mpqaMzJIeTGGz0dUq/ojbsL3sAvzqhr3nzwEI4xY2jYkm2spY767vX7zoyJ1Hz4IfWZmYD3tYM+ni0pkfqsLJp27cQ6eDDmwEBPhySEEP3e6cwYvwQsBF457th/Acu11o8ppf7L/fWvlFKpwHXASGAw8IVSarjWuq1nwz65Q5X1HcsiNuRXkF9eB4DTz8z4+BCuGDOYjMRQ0mOCsFm6X6bJHBxMfeJAIvaVUDx5KoMOb+eraXczaskjtMREYk9N7Tg36HuX42qop+QP/8vAu+7usdfYW9orF8QVNrO5ZDPnRxu34MsbylEFRZg02Ib3j9u5zoyJVLz4IhWvvYZuaek39YvPFdboaABaDh0EoH7LFhxd1C/uzN9dz7j6448B706M/ZKGoBsbObp6Tb9b/y6EEN7qlImx1nqlUiqh0+F5wAXuz18GvgJ+5T7+pta6CchXSu0FMoB1PRRv59jIL6/rSIIz8ysorGoAYIDdQkZiKAsy4shIDGXk4AFYzD1ThCNk6gzsr/2LL1Ku4Mb5r7Fs6T3cdhDC77r6hI5bIfPnE3zllSgfmLmzjxwJSjGi2MS6onUdifHW0q3El2nA9ytStHO61xlXvmy83/uuW/DC+5jsdiyRkTQfOEjL4cO0FhXjvOmmU15njY/HEhFB3dcrAbBEeGdVCjBmjAFcNTX95udOCCG83ZmuMR6otS4G0FoXK6Xaa0FFA+uPO++Q+9gJlFK3A7cDxMXFdXXKCVwuze7SWjbkHZsRLj/aBEB4gB+TEsO4fXoSGYmhJA8MxGRSp3jGMxM1Yy4HX/kXe1YtI3foBThXZmPSEPK9K7o83xeSYgBzgD+2oUMYe+QILxYfey+ztXwrCWUKZbd33ML2debAQOwpKTRu347f0CFYQkI8HZLoJmtcLC0HD9KwZQvQdWOPzox6xhnUfPQR4OUzxkOGdHwuFSmEEKJv9PTmu64yUd3ViVrr54HnASZMmNDlOa1tLnYU17Ahz0iCswoqqG4wSoYNDrIzbVg4GYmhZCSGkhTuf8JsbW9xjh+Py2omYGseT216ink7wDoqFb/4+D75/r3Jnp5O7Gf/ZndFLuUN5YQ7wtlaupX5lQ5swxK9skvYmXJmZNC4fTvO8RM8HYo4A34xsdStW0dD9haUzYZ9xOmVXmtPjE2BgSeteewNLKGhmIODaauqkooUQgjRR840MS5RSg1yzxYPAkrdxw8BscedFwMUne6TNrW28c2haja4Z4M3FVRQ12wsT04M9+fikVEdiXBsqPMMQz97Jrsda/oo0gq2siJnNQmHXYTePM9j8fQkR1o61neXEFllZkPxBuYmzGVH+XaiD7diu6h/3c51ZkykYtEiWV/so6yxMbS+X0Ldhg3Y00ad9p2Z9nrG3trc43h+SUnGXY1+cqdGCCG83Zkmxh8APwYec/+59Ljji5VSf8bYfDcMyDzVk5XUNHLd8+vIPlBFU6vRTCN5YCA/GBfTkQgPHOBdMzuh02bS9petXLrRBSYTgRdf7OmQekR7U4j0MgfritaREJSAraYRW20b9n6y8a5dwPTpDH78MQb0k7E717Qni027dhF26y2nf11iAuaIcK9eRtFuwGWXYkse3q9alQshhDc7nXJtb2BstAtXSh0C/gcjIf6XUuoW4ABwDYDWertS6l/ADqAVuOt0KlKU1jZR19TGD8+LJ8PdTCPU37vX5fpPPo+yv8CcLRr/yedhjewfLXdtw4ah7HYmV4XzXPE6UsNSiS9t33jXvxJjZTYTNK9/zPSfi6wxMR2fd2fzpFKKQQ8/gsnf+xvVhN5wg6dDEEKIc8rpVKW4/iQPzT7J+Y8Cj3YniNTBA1h2z9TuXOJx9pEjMQUG4qqtZcBll3s6nB6jrFbsqakMKSyntL6U9/e+z+hKf6C2V1pRC3Gm/GKPrdo6nY13xwucNbOHoxFCCNEf9Ez9srNk7qNNcz1JWSw4J2Wg/PwInHuhp8PpUY60NJz5hzG3aXZW7GRUdSCWyEip3CC8ijksDOV0Gq2ew8I8HY4QQoh+wCsSY1818Be/IPbZv/e7jlSO0enQ1MzEOqP9dHRJa79bRiF8n1IK/4wMAi+c4+lQhBBC9BOyo+Ms+MXH94sSbZ3Z09MBuKA2miz/EpyHjmCf078qUoj+IfbZv3s6BCGEEP2IzBiLE1ijozGHhDDuSCBX2SejWttkxlgIIYQQ/Z4kxuIESikc6en45e7n3gFXAmDrZ6XahBBCCCE6k8RYdMmenkbzvjwaNm8CqxVbYoKnQxJCCCGE6FWSGIsuOdLTQWuqP/wIW1LSaXcVE0IIIYTwVZIYiy450owOeK6aGmzJsvFOCCGEEP2fJMaiS+bgYKzxRstd+3BJjIUQQgjR/0liLE7KkWaUbZOKFEIIIYQ4F0hiLE7KOXEiWK3YU1I8HYoQQgghRK+TBh/ipIKvvgr/KZOxhId7OhQhhBBCiF4nM8bipJTZjF9srKfDEEIIIYToE5IYCyGEEEIIgSTGQgghhBBCAJIYCyGEEEIIAUhiLIQQQgghBCCJsRBCCCGEEIAkxkIIIYQQQgCSGAshhBBCCAFIYiyEEEIIIQQgibEQQgghhBCAJMZCCCGEEEIAkhgLIYQQQggBSGIshBBCCCEEIImxEEIIIYQQgCTGQgghhBBCAJIYCyGEEEIIAYDSWns6BpRStUCup+PoZUFAtaeD6EXhQLmng+hFMn6+TcbP98kY+jYZP9/W38YvXmsd0dUDlr6O5CRytdYTPB1Eb1JKPa+1vt3TcfQWpdTG/jyGMn6+TcbP98kY+jYZP9/W38fveLKUou8s83QA4qzI+Pk2GT/fJ2Po22T8fNs5M36SGPcRrfU584+qP5Lx820yfr5PxtC3yfj5tnNp/LwlMX7e0wGIsyZj6Ntk/HybjJ/vkzH0bTJ+/YRXbL4TQgghhBDC07xlxlgIIYQQQgiPksRYCCGEEEIIejExVkq9qJQqVUptO+7YaKXUOqXUN0qpZUqpAZ2uiVNKHVVKPXDcsWuVUjlKqe1KqSd6K17xbd0ZP6VUglKqQSm1xf3x7HHXPKqUOqiUOuqJ13Gu6sHx+0QptdX98/esUsrsiddzLurBMfxKKZV73GORnng955qeGD+lVOBxx7YopcqVUn/x0Es65/Tgz6DkMb5Ea90rH8B0YByw7bhjWcAM9+c3A7/rdM27wNvAA+6vw4ADQIT765eB2b0Vs3yc2fgBCcef1+l5zgMGAUc9/ZrOpY8eHL8B7j+V++fzOk+/tnPlowfH8Ctggqdfz7n20VPj1+k5NwHTPf3azpWPnhhDyWN876PXZoy11iuBik6Hk4GV7s8/B65qf0ApdSWQB2w/7vwkYLfWusz99RfHXyN6T3fH7zueZ73WuriHwxOn0IPjV+P+1AL4AbJbt4/01BgKz+jp8VNKDQMigVU9EqA4pR4aQ8ljfExfrzHeBlzh/vwaIBZAKeUP/Ap4uNP5e4ER7lsUFuDK9muER3Q5fm6JSqlspdTXSqlpfR+aOA1nNH5KqU+BUqAWeKdPIhUnc6Y/g4vct3cfVEqpPolUdOVsfodeD7yl3dOOwmO6O4aSx/iYvk6MbwbuUkptAgKBZvfxh4GntNbfWoeqta4E7gTewniXXAC09lm0orOTjV8xEKe1Hgv8DFisOq0fF17hjMZPa30RxnIYGzCrb0MWnZzJGN6gtU4Dprk/buzjmMUxZ/M79DrgjT6LVJxMt8ZQ8hjfY+nLb6a13gXMBVBKDQcucz80CbjavSg9GHAppRq11gu10W1lmfua24G2voxZHHOy8dNaNwFN7s83KaX2AcOBjR4KVXThbMZPa92olPoAmIdx+1B4wJmModa60H28Vim1GMgAXvFA+Oe8M/0ZVEqNBixa602eiFscc4Y/g5LH+JA+nTFu3w2tlDIBvwGeBdBaT9NaJ2itE4C/AH/QWi/sdE0I8FPgH30ZszjmZOOnlIpor1aglEoChmGsFxdepLvjp5QKUEoNch+3AJcCuzwRuzCcwRhalFLh7uNW4HKMW8HCA87id+j1yGyxVziTMZQ8xrf02oyxUuoN4AIgXCl1CPgfIEApdZf7lCXAotN4qv9zv1sGeERrvbvHgxUn6Ob4TQceUUq1YrwTvkNrXeF+nieABYDT/Tz/0Fo/1Gcv5BzVE+OnlBoIfKCUsgFmYAXu/wRE7+uhMfQHPnUnxWaMjT8v9OHLOGf11O9Qt/kYb0xFH+rBMZQ8xodIS2ghhBBCCCGQzndCCCGEEEIAkhgLIYQQQggBSGIshBBCCCEEIImxEEIIIYQQgCTGQgghhBBCAJIYCyGExyml2twtm7cppd5WSjm7ce1gpVS3WnUrpb5SSk3ofqRCCNG/SWIshBCe16C1HqO1HoXRYvaO07lIKWXRWhdpra/u3fCEEOLcIImxEEJ4l1XAUKWUv1LqRaVUllIqWyk1D0ApdZN7VnkZ8JlSKkEptc39mF0ptUgp9Y37mpnu4w6l1JtKqRyl1FuAw2OvTgghvFivdb4TQgjRPe7W25cAnwD/DazQWt+slAoGMpVSX7hPnQyku7vbJRz3FHcBaK3TlFIjMBLn4cCdQL3WOl0plQ5s7ptXJIQQvkUSYyGE8DyHUmqL+/NVwD+BtcAVSqkH3MftQJz78887tQxuNxX4K4DWepdSaj8wHKNd7dPu4zlKqZxeeRVCCOHjJDEWQgjPa9Bajzn+gFJKAVdprXM7HZ8E1J3kedR3fA99VhEKIcQ5QNYYCyGEd/oUuMedIKOUGnsa16wEbnCfPxxjhjm30/FRQHpvBCyEEL5OEmMhhPBOvwOsQI57c93vTuOaZwCzUuob4C3gJq11E/B3IMC9hOKXQGYvxSyEED5NaS1314QQQgghhJAZYyGEEEIIIZDEWAghhBBCCEASYyGEEEIIIQBJjIUQQgghhAAkMRZCCCGEEAKQxFgIIYQQQghAEmMhhBBCCCEA+P+ZTCtndUd0UQAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "t_1 = ThetaLinesTransformer([0, 1, 2, 2.5])\n",
    "t_1.fit(y)\n",
    "y_t1 = t_1.transform(y)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "y_t1.plot(ax=ax, figsize=(12, 7))\n",
    "plt.legend(\n",
    "    [\"theta=0, linear regression\", \"theta=1, original ts\", \"theta=2\", \"theta=2.5\"]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "04cb17b04f5f80a2a0b41c77f7b4e8d588d61df805b8f5a9fd558c7dab25a82e"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}