13-bayesian_nn.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "from torch import nn, optim\n",
    "from matplotlib import pyplot as plt\n",
    "from res.plot_lib import set_default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set style (needs to be in a new cell)\n",
    "set_default(figsize=(16, 8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Training set\n",
    "m = 20  # nb of training pairs\n",
    "x = (torch.rand(m) - 0.5) * 12  # inputs, sampled from -5 to +5\n",
    "y = x * torch.sin(x)  # targets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-10.0, 5.0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# View training points\n",
    "plt.plot(x.numpy(), y.numpy(), 'o')\n",
    "plt.axis('equal')\n",
    "plt.ylim([-10, 5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define network architecture (try different non-linearities)\n",
    "\n",
    "non_linear = nn.Tanh\n",
    "# non_linear = nn.ReLU\n",
    "\n",
    "net = nn.Sequential(\n",
    "    nn.Dropout(p=0.05),\n",
    "    nn.Linear(1, 20),\n",
    "    non_linear(),\n",
    "    nn.Dropout(p=0.05),\n",
    "    nn.Linear(20, 20),\n",
    "    non_linear(),\n",
    "    nn.Linear(20, 1)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Training objective and optimiser\n",
    "criterion = nn.MSELoss()\n",
    "optimiser = optim.SGD(net.parameters(), lr=0.01, weight_decay=0.00001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Training loop\n",
    "for epoch in range(1000):\n",
    "    y_hat = net(x.view(-1, 1))\n",
    "    loss = criterion(y_hat, y.view(-1, 1))\n",
    "    optimiser.zero_grad()\n",
    "    loss.backward()\n",
    "    optimiser.step()\n",
    "#    print(loss.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define a denser input range\n",
    "xx = torch.linspace(-15, 15, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-10.0, 5.0)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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exSTqXUyi3sUk6t2jxWEIbdy4MegRRHyh1sUk6l1Mot7FJOpdTKLexSTq3aNrHIZQbm4uNTU1QY8h0uHUuphEvYtJ1LuYRL2LSdS7mCSTe9c1DtPcpEmTgh5BxBdqXUyi3sUk6l1Mot7FJOpdTKLePVocioiIiIiIiIiISAtaHIbQnDlzgh5BxBdqXUyi3sUk6l1Mot7FJOpdTKLePVochtC2bduCHkHEF2pdTKLexSTqXUyi3sUk6l1Mot49WhyG0OjRo4MeQcQXal1Mot7FJOpdTKLexSTqXUyi3j1aHIqIiIiIiIiIiEgLFuAGPURrteV20emsR48ebNiwIegxRDqcWheTqHcxiXoXk6h3MYl6F5Nkcu9t2a/pjMMQOu2004IeQcQXal1Mot7FJOpdTKLexSTqXUyi3j1aHIbQoYceGvQIIr5Q62IS9S4mUe9iEvUuJlHvYhL17tHiMIS2bNkS9AgivlDrYhL1LiZR72IS9S4mUe9iEvXu0TUOQygSiZBMJoMeQ6TDqXUxiXoXk6h3MYl6F5OodzFJJveuaxymudtuuy3oEUR8odbFJOpdTKLexSTqXUyi3sUk6t2jxaGIiIiIiIiIiIi0oMVhCH3wwQdBjyDiC7UuJlHvYhL1LiZR72IS9S4mUe8eLQ5DaN26dUGPIOILtS4mUe9iEvUuJlHvYhL1LiZR7x4tDkPo/PPPD3oEEV+odTGJeheTqHcxiXoXk6h3MYl692hxKCIiIiIiIiIiIi1ocRhCTzzxRNAjiPhCrYtJ1LuYRL2LSdS7mES9i0nUu0eLwxA67rjjgh5BxBdqXUyi3sUk6l1Mot7FJOpdTKLePVochtDQoUODHkHEF2pdTKLexSTqXUyi3sUk6l1Mot49WhyGUFVVVdAjiPhCrYtJ1LuYRL2LSdS7mES9i0nUu8cC3KCHaK14PE5paSklJSVUV1cHPY6IiIiIiIiIiEhaact+TWcchtDtt98e9AgivlDrYhL1LiZR72IS9S4mUe9iEvXu0eIwhCzLCnoEEV+odTGJeheTqHcxiXoXk6h3MYl692hxGEIff/xx0COI+EKti0nUu5hEvYtJ1LuYRL2LSdS7R4vDEFq6dGnQI4j4Qq2LSdS7mES9i0nUu5hEvYtJ1LtHi8MQuvDCC4MeQcQXal1Mot7FJOpdTKLexSTqXUyi3j1aHIqIiIiIiIiIiEgLWhyG0IwZM4IeQcQXal1Mot7FJOpdTKLexSTqXUyi3j1aHIbQ8OHDgx5BxBdqXUyi3sUk6l1Mot7FJOpdTKLePVochpDiFFOodTGJeheTqHcxiXoXk6h3MYl692hxGEJ1dXVBjyDiC7UuJlHvYhL1LiZR72IS9S4mUe8eC3CDHqK14vE4paWllJSUUF1dHfQ4IiIiIiIiIiIiaaUt+zWdcRhCt9xyS9AjiPhCrYtJ1LuYRL2LSdS7mES9i0nUu0eLwxDKysoKegQRX6h1MYl6F5OodzGJeheTqHcxiXr3aHEYQgsWLAh6BBFfqHUxiXoXk6h3MYl6F5OodzGJevdocRhCilNModbFJOpdTKLexSTqXUyi3sUk6t2jxWEIjRs3LugRRHyh1sUk6l1Mot7FJOpdTKLexSTq3aPFoYiIiIiIiIiIiLSgxWEIzZw5M+gRRHyh1sUk6l1Mot7FJOpdTKLexSTq3aPFYQgVFxcHPYKIL9S6mES9i0nUu5hEvYtJ1LuYRL17tDgMoWOOOSboEUR8odbFJOpdTKLexSTqXUyi3sUk6t2jxWEIua4b9AgivlDrYhL1LiZR72IS9S4mUe9iEvXusYC0+TcRj8cpLS2lpKSE6urqoMcRERERERERERFJK23Zr+mMwxC66aabgh5BxBdqXUyi3sUk6l1Mot7FJOpdTKLePVochlBeXl7QI4j4Qq2LSdS7mES9i0nUu5hEvYtJ1LtHi8MQWrx4cdAjiPhCrYtJ1LuYRL2LSdS7mES9i0nUu0eLwxD68MMPgx5BxBdqXUyi3sUk6l1Mot7FJOpdTKLePVochtDll18e9AgivlDrYhL1LiZR72IS9S4mUe9iEvXu0eJQREREREREREREWtDiMIRefPHFoEcQ8YVaF5OodzGJeheTqHcxiXoXk6h3jxaHIdSrV6+gRxDxhVoXk6h3MYl6F5OodzGJeheTqHePFochdPzxxwc9gogv1LqYRL2LSdS7mES9i0nUu5hEvXu0OBQREREREREREZEWLMANeojWisfjlJaWUlJSQnV1ddDjdJhIJEIymQx6DJEOp9bFJOpdTKLexSTqXUyi3sUkmdx7W/ZrOuMwhCZMmBD0CCK+UOtiEvUuJlHvYhL1LiZR72IS9e7R4jCEunTpEvQIIr5Q62IS9S4mUe9iEvUuJlHvYhL17gl8cXjbbbfx0UcfsW3bNtavX8+f/vQnBg8eHPRYgfr666+DHkHEF2pdTKLexSTqXUyi3sUk6l1Mot49gS8OTznlFKZNm8bxxx/PmWeeSTQa5bXXXiMejwc9WmDeeuutoEcQ8YVaF5OodzGJeheTqHcxiXoXk6h3T+CLw3PPPZc//OEPfPHFF3z++edcccUV9O/fn2OOOSbo0QJzzTXXBD2CiC/UuphEvYtJ1LuYRL2LSdS7mES9e6JBD7CrgoICAMrLy/f4mk6dOhGJRFIf19bWUldX1+GziYiIiIiIiIiImCJ0i8OpU6cyZ84cFi1atMfXlJWVEY3uHP3NN9/kiSeeYPbs2Vx33XUAvPbaa0SjUU4//XQAHnjgAcaOHUufPn1Yu3Ytzz33HDfeeCMAb7/9NrW1tZx99tkAPPTQQ5xzzjkMGDCATZs28fvf/55bbrkFgLlz51JeXs55550HwGOPPcbJJ5/MoEGD2Lp1K7/73e+YPHkyAB999BGrV6/mggsuAODJJ59k5MiRHHbYYdTU1DB16lQmT56Mbdt8+umnfPnll1x88cUUFBRQXFzM0KFDOeqoo0gkEtx7773cfPPN5OTksGjRIj799FMuvfRSAJ5//nn69+/PyJEjAbjzzju54YYbyM/PZ8mSJcydO5crr7wSgJdeeonu3btzwgknAPDLX/6Sq6++mqKiIpYuXcrrr7+eunPQyy+/TDwe55RTTgHg/vvvZ9y4cfTs2ZPVq1fz0ksvMXHiRADeeOMNAM444wwApk2bxpgxY+jbty/r169nxowZ/OQnPwHgnXfeobq6mnPPPReAhx9+mDPPPJPi4mLKy8t59NFH+dnPfgbA+++/z8aNGxkzZgwAjz/+OKNGjWLIkCFUVlbywAMPcMcddwAwb948VqxYwdixYwF46qmnGDFiBIcffjg7duzgV7/6FbfeeivRaJT58+ezePFiLrnkEgCeffZZBg8ezIgRI3Ach7vvvptJkyaRm5vLF198wbx587jssssAeOGFF+jbty/HHnssAHfffTfXX389BQUFfPXVV7z77rtcddVVAMyaNYuioiJGjRoFwH333ccVV1xBt27dWL58Oa+88grXXnstAK+++irZ2dmceuqpAPzmN7/hoosuonfv3pSVlfH8889zww03pJpPJBKcddZZADz44IOMHj2afv36sXHjRqZPn86kSZMAmDNnDtu2bWP06NEAPPLII5x22mkceuihbNmyhYcffpjbbrsNgA8++IB169Zx/vnnA/DEE09w3HHHMXToUKqqqvj1r3/N7bffjmVZfPzxxyxdupQLL7wQgBkzZjB8+HCGDx9OXV0d9913H7fccgtZWVksWLCABQsWMG7cOABmzpxJcXExBQUF3H777dx1113cdNNN5OXlsXjxYj788EMuv/xyAF588UV69erF8ccfD8A999zDhAkT6NKlC19//TVvvfVW6jtBs2fPpnPnzpx00kmAdzwZP3483bt3Z+XKlRlzjAB45plndIwg/Y4RF110kY4RbThGHHPMMbiuq2NEGh4jCgoKOProo3WM0NcRRhwjCgoKyM/P1zGiDccI0NcR6XqMcF2X3NxcHSPQ1xEmHCNWr17NsGHDMvIYUVZWRlu4YXn89re/dZctW+b26dNnt78ej8fdN954w+3Ro4ebn5+femRlZQU+e3s+Tj755MBn0EMPPx5qXQ+THupdD5Me6l0Pkx7qXQ+THupdD5Memdx7434tHo/v87WBX+Ow0QMPPEBJSQmnnXbaPjef27dvp7KyMvXItLcpN34HQyTTqXUxiXrPEJZNfvGRFB11GvnFR4IVmi+lQkW9i0nUu5hEvYtJ1LsnFG9V/p//+R++//3vc+qpp7J8+fKgxxERERFpoXDYifQrmUhWYY/Uc3UVG1hZOo2Khe8FOJmIiIiISMew8E49DMy0adMYN24cY8aMYcmSJannt27dyo4dO5q9Nh6PU1paSklJCdXV1X6P6pvc3FxqamqCHkOkw6l1MYl6T2+Fw07kkPFTALAsK/W86zqAxTfTp2h52IR6F5OodzGJeheTZHLvbdmvBf7+muuvv57CwkLeeecd1q1bl3o0XpTTROPHjw96BBFfqHUxiXpPY5ZNvxLv4ttNl4bexzbgcvB5E/W25SbUu5hEvYtJ1LuYRL17An+r8q5fgAt079496BFEfKHWxSTqPX3lDxze7O3Ju7Ism+wuPcgfOJzKZQvIHzicWOci6reVU7lsAbiOj9OGg3oXk6h3MYl6F5Ood0/gi0NpaeXKlUGPIOILtS4mUe/pK9a5qFWvKzjsOwz8f7fpGoiodzGLeheTqHcxiXr36D01ITR79uygRxDxhVoXk6j39FW/rbxVr+t50j8TK2j+nelYQTcOGT+FwmEndsRooaXexSTqXUyi3sUk6t2jxWEIXXfddUGPIOILtS4mUe/pq3LZAuoqNjTcCKUl13VwnSSgayA2Uu9iEvUuJlHvYhL17jHnK1gRERGR/eE6rCydBlgtloeNd1W27Mger9vc9BqIIiIiIiLpRIvDEHrttdeCHkHEF2pdTKLe01vFwvf4ZvoU6rduavZ8XcUm1s/5v1b9Hq29VmImUO9iEvUuJlHvYhL17tHNUUIoGtX/LGIGtS4mUe/pr2Lhe1Qser/FXZPzBw6n18kX7vPzW3utxEyg3sUk6l1Mot7FJOrdozMOQ+j0008PegQRX6h1MYl6zxCuQ+XSzyif/xaVSz/zPm7FNRBrt2ygctkCn4cNjnoXk6h3MYl6F5Ood48WhyIiIiIHohXXQFw1axrsYbEoIiIiIhJWFuAGPURrxeNxSktLKSkpobq6OuhxOkx+fj6VlZVBjyHS4dS6mES9Z77CYSfSr2QiWYU9Us/VbtnAqlnTqFj4XoCT+S9je7fsFm9V10JYMrZ3kd1Q72KSTO69Lfs1nXEYQmPHjg16BBFfqHUxiXrPfBUL3+Pzu3/AkocmsXTGf7HkoUksuOcHxi0NITN7Lxx2IkdMfpoh106leNzPGXLtVI6Y/DSFw04MejQJWCb2LrIn6l1Mot49utJjCPXp0yfoEUR8odbFJOrdEA3XQDRdpvVeOOxkDhn/by2ejxV045DxU/hm+hQjF8TiybTeRfZGvYtJ1LtHZxyG0Nq1a4MeQcQXal1Mot7FJJnUe+Hwkzjk0p9jWRaWZTX7NcuyAZeDz5sIlr6sNlUm9S6yL+pdTKLePbrGYQh16tSJ7du3Bz2GSIdT62IS9Z55ehHjMDtOPyuHg6wsulhR4tjEsKnFoQaHjW49a9w6lro1LHSqqSQZ9Ni+yJTeC4edyCHjp7RYGO7Okocm6WxTQ2VK7yKtod7FJJncu65xmOZuvPHGoEcQ8YVaF5Oo98ww0Mrh0kgP/id2CFOzDuHqaG/OinRhmJ1HHyubLlaMTlaErlaMvlY2I+xOjI4U8eNoHx7OGsR/Rvtzpl1IPMO/BMuI3i2bfiUTW/3yWOeiDhxGwiwjehdpJfUuJlHvHl3jUERERGQvIsDxdmdG20UMsHP2+LoaN0k1DvW4ZGMRJ0L2Lm9fPcTO5RA7l3FuD950KngpuZlthpyFmG7yBw5vdofsfanfVt6B04iIiIgEQ4vDEHr77beDHkHEF2pdTKLe048FnGB35qJId7pbsWa/Vu86LHarWehU87VbQ5lbt9u3IRcRpa+VzWF2nCOtPPo3LB6zLZtzI0WcZhfy5+RmSp1yEulz9Zh9yoTeW3sGoeu61FVspHLZgg6eqI0sm/yBw4l1LqJ+W7k3n+sEPVVGyoTeRVpLvYtJ1LtHi8MQqq2tDXoEEV+odTGJek8vxVYOV0Z6UmznNnv+G6eGvzoVfORUUs2+lzDlJCh3E3yerOKPbKSflc1pdiGn2gVkWzY5ls0/R7tzvNOZ/02u5Wt3R0f9I/kqE3pvyxmEq2ZNC9VSrnDYifQrmdjsjMm6ig2sLJ2muz93gEzoXaS11LuYRL17MvsCO2nq7LPPDnoEEV+odTGJek8PWViMi3TnP6L9my0NP3e28x/1K/jXxAredra2amm4OyvdWv6QXM9N9d/wSrKchOudZdjXzuYX0f58186M6+RlQu+VyxZQV7EBdy8LQddJ8s30/wjVMq7xhi6xgu7Nno8VdOOQ8VMoHHZiQJNlrkzoXaS11LuYRL17tDgUERERAfpYWfxXdADfi3TFbriL7kpnB3fXr+SexGr+4da025+1lSRPJjfw88Ryljre7xuxLC6N9uDG6EFks++7+EoHcx1Wlk4DrBbLQ9d1cF2Xb57+TyoWvhvMfLvT5IYuu94J2rJswOXg8yaCpb8CiIiISOtYkD4X1GnL7aLTWdeuXdm8eXPQY4h0OLUuJlHv4XaKXcDlkZ6pm5nUuQ4vJDcx2ynv8FuX2MDYSDe+H+mWeu4rp4ZfJlZRtZ9nNgYtk3rf3dt+a7dsYNWsadQtfJ9eVhadiJDX0E6961KFw2a3ns3U+3rrm/ziIxly7dR9vm7JQ5OoXPqZDxOZIZN6F9kX9S4myeTe27Jf0zUOQ+icc87h6aefDnoMkQ6n1sUk6j2cLOAHkR58N7LzLcIrnB38T2INa6jzZQYHmJncxDfODq6P9iZuRRhk5/Jv0f7ck1jFFhK+zNGeMqn3ioXvUbHoffIHDqdL5+4M2F7DqBUrGEQ2RVmD9/q5SddltVvLUncHX7jVLHCqOvQu2q29oUtrXyetk0m9i+yLeheTqHePFochNGDAgKBHEPGFWheTqPfwycbix9E+HG13Sj33RnIL05MbqA/gDRmfuNv598RKJkcPptCKcrCdzR2xg/mP+pUdumzqCJnUewQ41srjtJXlDLMbLpJuddrr56Q+17Lob+XQnxxOoxDwziZ9z9nKB07lbu/EfSBae0OXttz4RfYtk3oX2Rf1LiZR7x4tDkNo06ZNQY8g4gu1LiZR7+GSh83PogczqOEGKAnX5YnkOt50tgY61yq3lin1K7g9djDd7GySA4fxg7xvM7PiSzYt+zxUd+7dm0zo3QZOtAu4INKVHlZWi1+vcpOsdGtZ49ZSQZJqN4kLxLDItyJ0I8ZBVhZ9rGwiTa43OMjOZZCdy6VuD+Y623jZ2cIqt33u2th4Q5dYQbeGaxo257oOdRWbqFy2oF3+PPFkQu8iraXexSTq3aNrHIZQVlYWdXX+vD1KJEhqXUyi3sOjMxFujx5MPzsH8BZA9yfK+MINz9cW/YadwoAxP6K6YOdbSusqNrCydFqo7uC7J+ne+6FWDldHeqUaabTOrWNOcivz3SqWuzta9UV0FhbFVg5H2nmMsDq1+D3Bu2v3C8nNfNkON+BpvKsyuM2Wh94NXiy+mT4lLRpKJ+neu0hbqHcxSSb33pb9mm6pFkK33HJL0COI+EKti0nUezjkYTdbGm51E/xXYmWoloaFw06k+/h/papzl2bPZxV045DxUygcdmJAk7VeuvYew+KySA+mRPs3W/B97lTxX/UrmVS/lD85m1nWyqUhQB0u/3BreDa5idsSy7m1fhl/Tm6myt35NuUj7E5MifXnpmgfetPy7Ma2qFj4Ht9Mn0L91uZnSdRVbNLSsIOka+8i+0O9i0nUu0dvVRYREREj5GBzW5Ol4Sa3nrvqV7KO+oAna8Ky6Vcy0ftpk7e3Nv6a5TocfN5EKha9nzZvW04XPYlxY7QPA5osDJc5O3gyuZ4l7XAmYKNVbi0zkht5PrmJU+xCzo10oWfDW6GPtfM5JtaJ150tzExuomY/76rd9IYusc5F1G8r996erGZERESkjbQ4DKG5c+cGPYKIL9S6mES9BysLi59G+3JIwzUNK9xE+JaGQP7A4WQV9tjzCyyb7C49yB84nMqln/k3WBulW+9HWHncED2IuBUBoNZ1mJncyCvOlv1c3e1bLS6vOVt4w9nCyXYBF0a60cWKEbEszokU8W07n8cT6/jUrdq/P8B1Qt1IJkm33kUOhHoXk6h3jxaHIVRerjvdiRnUuphEvQfHAm6I9uEwOw5ApZvkrkT4loYAsc5F+34R0LlzNyo7eJYDkU69n2IXcHWkV+oGJmvcWn6dKGO16881jRzgbWcrf3O28V27iPMiXcmxbLpaMW6JHcz7yW08kVzH9g5bYcqBSqfeRQ6UeheTqHePrnEYQuedd17QI4j4Qq2LSdR7cH4Q6cHRdicAqt0k9yRW+bYUaqv6ba37AvW8Khtr3y8LTLr0/j27iAnR3qml4UdOJXfULw+kj1pc/uRs5mf1y/jc2Z56/oRIZ+6ODWSIlev7TNI66dK7SHtQ72IS9e7R4lBEREQy1ml2Ad+NeGfxJVyXqYkylrk7Ap5qzyqXLaCuYkPDHXB3w3XJryjnxJWr+Z7durMTZfe+ZxcxLrrzbeGvJMv5TaKM2lbf9qRjbKKeexKreTCxhsqGG6h0tWL8a7Qf37e7hnphLCIiIplHi8MQeuyxx4IeQcQXal1Mot79N9SKc0WkV+rj3yfXheruybvlOqwsnQZYLZaHruvgAqfM/j9s1+WfI93oax3YHXg7Sth7/67dpdnS8I+JDTyZ3BDwyrC5Oc42bqtfxheO16xtWVwY7c5t0YPJ05fwoRL23kXak3oXk6h3j77qCKGTTz456BFEfKHWxSTq3V/diXFTtA/Rhreg/iVZzlvO1oCnap2Khe/xzfQp1G/d1Oz5uopNfDN9Cv9Y+CYAMcvmushBRIIYch/C3PsouzOXRnumPv5jYgOlTjivYbSFBHcmVjIzsRHH9daaw+08/jM2gIMI59LYRGHuXaS9qXcxiXr36OYoITRo0KCgRxDxhVoXk6h3/0SAG6IHkd9wh9z5znZmJDcEO1QbVSx8j4pF75M/cDixzkXUbyunctkCcB2ex+JoqxN97WwG2jmMsbvygrM56JGbCWvvh1lxJkR6pz7+v8TG0C4NG7nAn5zNLHaruTHahwIrSi8ri/+I9ee3iTXM39+7Lku7CWvvIh1BvYtJ1LtHZxyG0Nat6XFGhMiBUutiEvXun0siPTjE9m4ksd6t438Sa9LzfrSuQ+XSzyif/xaVSz+Dhrcu1+PyYHINyYYz0MZEutI7ZGefhbH3g8hiUpOzUP+a3BK6heve/MOt4V/rl7Pc8a7RGbci/DTal9PtgoAnkzD2LtJR1LuYRL17LAjV5Vz2Kh6PU1paSklJCdXVIb9G0QGwbRvHScu/4oi0iVoXk6h3fxxtdeKnsb4A1LsOUxIrWObWBjxVx7g40o0xkW4ALHKquDOxKuCJdgpb77nY/GesPwdZ2QB84mxnamJ1Wi6Us7G4LnoQx9r5qedmJjbypzRagmaasPUu0pHUu5gkk3tvy35NZxyG0OTJk4MeQcQXal1Mot47XleiXBvd+TbUp5MbM3ZpCPCn5GY2uHUAHG7nMcruHPBEO4Wpdwu4Pto7tTRc6ezgfxJlabk0BKjF5TeJMmYldy4KL4x25/JIT91xOSBh6l2ko6l3MYl692hxKCIiImnPWw4dRKeG6xp+5FTymrMl2KE6WB0uTyTWpz6+NNJDd9vdjfPsIo5pODtvu5tkaqKM2vR5w81uucAzyY08ldh57c6zIl24PtJbBYiIiEi70tcWIfTRRx8FPYKIL9S6mES9d6yz7S4MteMAbHTreSSxNuCJ/DHfreJDZxsABVaUiyPdA57IE5beD7VyuLDh34njuvw2sYYN1Ac8Vfv5i1POtMQaEg3XuxwVKWBi5CB9ge+zsPQu4gf1LiZR7x59XRFCq1evDnoEEV+odTGJeu84vYg1W5g9nFhLVdq+EbXtnkxsoMZNAnBGpAvFVk7AE4Wj9zg2P4oeRKThZigvOZv5PAPvQDzX2cavE2XUN9w85zuRzvwochCRgOcySRh6F/GLeheTqHePFochdMEFFwQ9gogv1LqYRL13DAu4NtqbbMv7kuaVZDlfuJl7A7Xd2UKCmclNqY/HR3oEOI0nDL1fFelFD8u72/QSp5rnm/w7yjSfuNu5v8ny8PhIZ34U1ZmHfglD7yJ+Ue9iEvXu0dcTIiIikra+axcxuOEtyuvcOp5Nbgx4omC87mxhTcONYIbYcY5rcsddE51iF/CdiHezmCo3ybTEmow/B3W+W8WvEmXUNSwPj7M7c02kt26YIiIiIgdEi8MQevLJJ4MeQcQXal1Mot7bXy9iXBjpBnjXr3sosTbtb3qxv5LQ7EYZ4yI9iAW4Mgqy965EuazJWZePJNaxiURg8/jpc7eKqU3OPDwlUhCKM1AznY7vYhL1LiZR7x4tDkNo5MiRQY8g4gu1LiZR7+3v8mgvshreovyys4Uv3ZqAJwrWfLeKz53tAHS3YpxrdwlsliB7vzrai9yGu2u/lazgI7cysFmC8LlbxW8Ta3AabphyTqSIsQ0LdukYOr6LSdS7mES9e7Q4DKHDDjss6BFEfKHWxSTqvX19x87nCDsP8O6i/H+GvkV5V08lN6QWRmMiXSkM6BYZQfV+kt2ZI+1OAJS79TyV3LCPz8hMf3e380hyXerjsZFunGkXBjdQhtPxXUyi3sUk6t2jxWEI1dSYfcaEmEOti0nUe/uJY3NppGfq4z8k1hv7FuVdrXbr+KtTAUCuFeHCJneb9lMQvRcS4bImXTyWWEdNxl/ZcM/ecbbyZGJ96uN/ifTkaKtTgBNlLh3fxSTqXUyi3j0WpM9X2vF4nNLSUkpKSqiuNuuOiSIiIuK5PNKTsyLe23D/7lRyf6Is4InCJZ8IU2PF5FkRHNfljsRyVjTcOCWT3RTtw7ENN4WZm9zKtOTagCcKh4sj3RkT6QpArevwn4mVLHV3BDyViIiIBKkt+zWdcRhCkydPDnoEEV+odTGJem8fxVYOZzS85XKH6zQ7o0o8lST5U3IzALZlMb7JWXh+8bv346z81NJwq5vgSUPforw7zyU3Mje5FYBsy+aWaF+6Ewt4qsyi47uYRL2LSdS7R4vDELJt/c8iZlDrYhL13j7+JdIT2/LuFvx8chObDblbblu96pSzzq0D4DA7zkif36LqZ+/5RLg8unM5+kRyPZUkffvzw84FHk6uY7HjnU1QYEW5JdaXXP01oN3o+C4mUe9iEvXu0b+FEPr000+DHkHEF2pdTKLeD9wJdmcG2bkArHZrecUpD3ii8EoCMxI7z7obF+3h621S/Ox9fKQHBVYUgI+cSj50zLqLcmskcJmaWE1Zw1vW+1rZXB/tjRXwXJlCx3cxiXoXk6h3jxaHIfTll18GPYKIL9S6mES9H5gsLC5pcqOPpxIbdE7ZPsxzt/NFw1lmvawszrK7+PZn+9X7CCuPEyMFAFS5SZ5IrNvHZ5irCof/rl9Nlev9P+cYO59/jnQLeKrMoOO7mES9i0nUu0eLwxC6+OKLgx5BxBdqXUyi3g/M9+wiulreddk+dbbzuVsV8ETp4ankehzXuw/eBZFudPLpSz8/eo9jc1W0V+rj6ckNVGidvFfrqeeBRFmqie9HunGclR/wVOlPx3cxiXoXk6h3jxaHIiIiEmpFRDmv4a6wCdfl6YRufNFay91a5jjbAMizIlyQQWeYjYv0oKhhmfyZs513na0BT5QeFrjVzGhy85gJ0d70t7IDnEhERETCTIvDEHrmmWeCHkHEF2pdTKLe99/Fke5kW96XLK87W1hDXcATpZfnkhvZ4ToAnGF3oTdZO3/RsskvPpKio04jv/hIsNrnS8OO7v1wK87pkUIAatwkj+otym3yF2cL7zbcaTnHspkU7Uu+r1fBzCw6votJ1LuYRL17tDgMoaFDhwY9gogv1LqYRL3vn/5WNic1XMOu0k3yQnJTwBOlny0k+HNyMwBRy2Jc1LtWZOGwEzli8tMMuXYqxeN+zpBrp3LE5KcpHHbiAf+ZHdl7NhbXNHmL8jPJjbq79n54LLmOr50aALpbMd0s5QDo+C4mUe9iEvXu0eIwhI466qigRxDxhVoXk6j3/XNxkxui/Cm5iSqcAKdJX7Odcja79YB3U4zhw/6JQ8ZPIVbQvdnrYgXdOGT8lANeHnZk7xdHutPD8s6aXOxU81enosP+rExWj8vURBlbXW/peqTdiRK7a8BTpScd38Uk6l1Mot49WhyGUCKh75qLGdS6mES9t91QK85RdicANrr1vKEF0X6rxeW55EYAHMuisORaACyr+TlmlmUDLgefN/GA3rbcUb0PtnJTd4eudR3+N7EWt0P+JDNUkOC3iTWpm6VcGOnGYVY84KnSj47vYhL1LiZR7x4L0ufrrXg8TmlpKSUlJVRXVwc9joiIiHSg/4j251A7F4AHE2tSN/mQ/WMB/xntT+yQI5h51U37fP2ShyZRufSzDp+rtWJY3B0bwEENN/J4KrGBvzjlAU+VGb5vd+XChrewV7gJJtcvY6vuUC0iIpKx2rJf0xmHIXTzzTcHPYKIL9S6mES978Eebs7xbatTamm40tnBe1oaHjAXeCq5gar8zq16faxz0X7/WR3R+0WR7qml4ddODS9radhuXnQ287mzHYBCK8qPogfpLwltoOO7mES9i0nUuyca9ADSUk5OTtAjiPhCrYtJ1HtLhcNOpF/JRLIKe6Seq6vYwOrSaVy8pCz13LPJjenz9oiQ+4dbw8qtrbsDcf22/V/MtXfvQ6xczm14i3Kd6/CQ3qLcrlxgWmItd8UG0NWKcbidx9hIN2bqZkStouO7mES9i0nUu0ffTAyhRYsWBT2CiC/UuphEvTdXOOzEPd6co3j8FKoOPxaAfzjVfOpWBTFixvrL1+/RaesWcHe/enNdh9otG6hcsZgeJ17AwWN+RI8TLwC79d9vblPvezjrtFE2FhOivbEbrsc4M7mJNdS1/veXVqkkyf8k1pBs6GKM3ZWhut5hq+j4LiZR72IS9e7RGYch9OmnnwY9gogv1LqYRL03Ydn0K5no/XR3N+dwHd7+7j9zyOLPebbhhh7Sfja4tYwofYztl97sLQ+b/G/gug5gUV32Jcfc+WcsO5L6tYO/dy3r3p1J2V8e2eef0dre93TW6crSaVQsfA/w7qLcq+Euykucal3XsAN96dbwXHIjl0R7YFsW10d7c1v9Mt3NfB90fBeTqHcxiXr36IzDELr00kuDHkHEF2pdTKLed8ofOJyswh4tloYplk1lYRFz+vVliVvj73CG+OuCVxg140E6bato9nxdxSYqFs2l8PBRLe+qbNn0OuVi+nz3mn3+/q3pfW9nnR4yfgqFw05kmBXnnIh3rcVa1+FhvUW5w/3ZKWeR453l29WKcXW0V8AThZ+O72IS9S4mUe8enXEoIiIivmrtTTfm5On7mx0lgcurn/+Fn//jC8oGHEp5p078Ycs/WLdiEcfc+Wdgd2eDWriuS6+TL6Tsld+Dk9j/AfZx1qnrOvQ/byLXfPlvqef/mNzIOur3/8+UVnGBBxNruSc2kE5WhOPszpxiV/GOszXo0URERCQA+oo8hJ5//vmgRxDxhVoXk6j3nVp7041V21p3Ew/ZP/9wa5iT2MLBy77iyAWfctGK9fT4zvew7Mgezwa1LAvLjtDjhJJdfqH5dQqff+GFvf7Z+zrr1LJsYl16UDXwWwB85mznNWdL2/8hZb+Uk+CRxNrUx/8S6UkvYgFOFG46votJ1LuYRL17tDgMof79+wc9gogv1LqYRL3vVLlsAXUVGxqup7cbrotTsZHKZQv8HcxAM5IbqXS9MwePj3Smf7cBrfq87K4HpX5eOOxEjpj8NEOunUrxuJ8z5NqpdL7kLgqHnbjHz2/tWadV+Z3Z4iZ4UG9R9t3f3e28mawAIMey+VH0ICJ7/xRj6fguJlHvYhL17gnF4vC6665j6dKl1NTUMG/ePE48cc9faJpg5MiRQY8g4gu1LiZR7024DitLpwFWy+Vhwx1dl5b+Fva0WJR2U0mS3yfXpz4+fkvr7mBdu3kNsOfrFDrZ+anrFO5Oa886zd22ld8l1rCNZKteL+1renI9a9xaAIrtXC6IdAt4onDS8V1Mot7FJOrdE/ji8KKLLuLXv/41d955JyNGjGDOnDm8/PLLHHzwwUGPJiIiIh2kYuF7fDN9CvVbNzV7Pn/rFrZPvyt1R13peB84lcxNetev+/aHc8BJ4rq7P7/PdV1cJ8mG90v3ep1C707NLgefN7HlTVZo3Vmn+RXlfLz0Qxa51fv9zyYHphaX3ybWkGjoocTuSrGVE/BUIiIi4ifvq7oAffDBB3zyySdcf/31qee++OILXnzxRW6//fZmr43H45SWljJu3DhqanbeZbG2tpa6ujrfZhYREZF2YtmcfMjxnFo4kLzKbWxaOp/76lcFPZVx8rC5JzaQrlaMd88aw7yTzsSl+UKwcZm47p1nKfvLI+QXH8mQa6fu8/de8tAkKpd+1uL5xrMVwcVqulxs+HOOnjGNRz/7EzrvNHjft7tyYdQ7q3S1W8sd9cup15vHRURE0lbjfq2kpITq6r1/kzbQuyrHYjGOOeYY7rnnnmbPv/baa5xwwgl7/LyysjKi0Z2jv/nmmzzxxBPMnj2b6667LvV7RKNRTj/9dAAeeOABxo4dS58+fVi7di3PPfccN954IwBvv/02tbW1nH322QA89NBDnHPOOQwYMIBNmzbx+9//nltuuQWAuXPnUl5eznnnnQfAY489xsknn8ygQYPYunUrv/vd75g8eTIAH330EatXr+aCCy4A4Mknn2TkyJEcdthh1NTUMHXqVCZPnoxt23z66ad8+eWXXHzxxRQXF3PnnXcydOhQjjrqKBKJBPfeey8333wzOTk5LFq0iE8//TR1a/Dnn3+e/v37p06jvfPOO7nhhhvIz89nyZIlzJ07lyuvvBKAl156ie7du6f+/f7yl7/k6quvpqioiKVLl/L6668zYcIEAF5++WXi8TinnHIKAPfffz/jxo2jZ8+erF69mpdeeomJE70zDd544w0AzjjjDACmTZvGmDFj6Nu3L+vXr2fGjBn85Cc/AeCdd96hurqac889F4CHH36YM888k+LiYsrLy3n00Uf52c9+BsD777/Pxo0bGTNmDACPP/44o0aNYsiQIVRWVvLAAw9wxx13ADBv3jxWrFjB2LFjAXjqqacYMWIEhx9+ODt27OBXv/oVt956K9FolPnz57N48WIuueQSAJ599lkGDx7MiBEjcByHu+++m0mTJpGbm8sXX3zBvHnzuOyyywB44YUX6Nu3L8ceeywAd999N9dffz0FBQV89dVXvPvuu1x11VUAzJo1i6KiIkaNGgXAfffdxxVXXEG3bt1Yvnw5r7zyCtdeey0Ar776KtnZ2Zx66qkA/OY3v+Giiy6id+/elJWV8fzzz3PDDTekmk8kEpx11lkAPPjgg4wePZp+/fqxceNGpk+fzqRJkwCYM2cO27ZtY/To0QA88sgjnHbaaRx66KFs2bKFhx9+mNtuuw3wFvnr1q3j/PPPB+CJJ57guOOOY+jQoVRVVfHrX/+a22+/Hcuy+Pjjj1m6dCkXXnghADNmzGD48OEMHz6curo67rvvPm655RaysrJYsGABCxYsYNy4cQDMnDmT4uJiLrzwQr755hvuuusubrrpJvLy8li8eDEffvghl19+OQAvvvgivXr14vjjjwfgnnvuYcKECXTp0oWvv/6at956i2uuuQaA2bNn07lzZ0466SQApk6dyvjx4+nevTsrV67MmGMEwDPPPKNjBOl1jBgxYgSvvvqqjhG7HiOiUfr/bhadVn4MQP347zH4vb9SXFzMMcccg+u6Okb4dIzY1rM/Rc/O4eTXXvL+P3PSGXjfY/ZYQP2ivzK45msuv+MO1sZ68jn7duFlV9G7fv1ujxEjqheyOHcQtU3OYsvfuoWRLz9HxZBcJn/vDmOOEWH+OmLF1q3UlOeSu76CvlY2/3rYidR+/+TAv44IyzGiuLiYm266KeOPEfo6QseIfv36cdBBB/HTn/40PF9HpMExAsz4OiITjxGdOnXi6aefzshjRFlZGa0V6BmHvXv3Zs2aNZxwwgn87W9/Sz0/efJk/uVf/oVvfetbzV5vyhmHd9xxB3feeWfQY4h0OLUuJlHvu/cdO58fR/sA3p1z702sDngis422i/hBtAcAWy2Xqd8+gh1de1K7eY339mQnkXrtgZ5xmGLZfP+Qkxhe2Je8ym10XfYl/1m/nBUN19aTcOhjZXFndABZlo3juvxnYiVL3Jp9f6IBdHwXk6h3MUkm9542Zxw22vU6OpZl7fHaOgDbt2/f5z9YOluyZEnQI4j4Qq2LSdT77p1nd039vDTZuhtmSMeZ7ZRzSDKH4yOdKXAtfvzhJ0ypX0E5iRavbbxOYaygW/O3GjdwXYe6ik37vDv2GKsLF65cDyvX47guv06UaWkYQmVuHTOTm/hBtAe2ZXFttDe31S+jVm9Z1vFdjKLexSTq3RPozVE2bdpEIpGgV69ezZ7v0aMH69ev38NnZb65c+cGPYKIL9S6mES9t3SElccA23uL6jdODYt1E4xQ+N/kOpY5OwDoZsW4LXYwnXb3JeNe7o7tfWyxata0vd4d+3y7KxdHd96R+dHkOua529vjH0M6wF+ccpY43v9Pe1pZXBLpEfBE4aDju5hEvYtJ1Lsn0MVhfX09H3/8MWeeeWaz588880zef//9gKYKXuP7/0UynVoXk6j3lr4XKUr9XGcbhscOHO5NrGKd610Gpq+Vzb9G+1O0mzeq7Onu2LluHd9Mn7LHu2NbwKWRHlzUZGk4I7GBt52t7fcPIu3OBR5KrGVHwzL4rEgXhlnxYIcKAR3fxSTqXUyi3j2Bv1V56tSpTJ8+nXnz5vG3v/2NH/7wh/Tr14+HHnoo6NFERESkgwy0chhm5wGw1q1jnlsZ8ETS1DaS3FO/il/E+tHFinGwnc0vYv25t34Va2h+XemKhe9Rseh98gcOJ9a5iPpt5fz4ku/x3h6WhnnYTIj2ZqSdn3ru6cQGZjtaHqeD9dTzTHIDV0S9dwz9MNqbW+uXUaP7X4uIiGSkwBeHzz33HF27duXf/u3f6N27NwsXLuS73/0uK1euDHq0wLz00ktBjyDiC7UuJlHvzZU0Odvwz8nNukpaCG2gnn+vX8nk2MH0tLLobsX4r9gA/pBczzu7nhnoOs1ugFL6UnK3v+ehVg4/ih5EDysLAMd1eTS5Tmcappk3nAq+7eQzzM6jmxXj4kh3nkiae5khHd/FJOpdTKLePYG+VbnRgw8+yMCBA8nJyWHkyJHMmTMn6JEC1b17932/SCQDqHUxiXrfqRcxvm15Z5tVuAnec7YFPJHsyQbqmVK/guUN1zzMsbyzBW+O9qEPWXv8vF1770yEayK9+I/YgNTSsNJN8svEai0N05AL/G9iXbO3LA+xcoMdKkA6votJ1LuYRL17QrE4lOZOOOGEoEcQ8YVaF5Oo952+GynCtiwAXk6WU6/zDUNtK0n+PbGCN5MVqeeOsfO5NzaQiZHeHGXlEcVq9jknnHACUSy+ZeUyIdKbB2KHcFqkMPXrXzs13F6/jM/dKp/+KaS9baKeZ5MbUx//MNqb2C4dmELHdzGJeheTqHdP4G9VFhEREXMUEOFkuwCAajfJX52KYAeSVqnFe0vxZ852Lo/2oosVxbYsRkUKGBUpYIfrsM6tYxP1RLEY+NRbPBobRJbV/HvU1W6SmclNvO5s0RXxMsBrzha+4+Qz2I7T28rigki3ZstEERERSX8WpM+3+ePxOKWlpZSUlFBdXR30OB0mFotRX18f9BgiHU6ti0nUu+fiSDfGRLoBMCu5mWe0ZEg72VicZXfhe5Gu5FuRVn3OdjfJ204Fs5PlbGX31z+U9NSHLO6KDSBm2SRdl39NLGe5Wxv0WL7S8V1Mot7FJJnce1v2a3qrcghdffXVQY8g4gu1LiZR75CLzRl2FwASrssryS0BTyT7oxaXWU45P6r/ml/Vr2ZOcivr3ToSbvPvRW9w65iT3MqDiTX8qP5rZiQ3ammYgcqo40/JzQBELIsfRnrTunVy5tDxXUyi3sUk6t2jtyqHUFFR0b5fJJIB1LqYRL3D6XYheQ1nqM1xtrKFRMATyYGox+VjdzsfJ7dD0vtudAFR6nG46bZb+a977g56RPHJLGczxzn59LdzGGDn8D27Ky85m4Meyzc6votJ1LuYRL17dMZhCC1dujToEUR8odbFJKb3HgHOjXhnGzquy+xkebADSbtzgC0k2I7DNyuWBz2O+CgJ/G9yHU7DWacXRLpy0F7uup1pTD++i1nUu5hEvXu0OAyh119/PegRRHyh1sUkpvd+ol1AkRUD4GN3O2uoC3gi6Uim926iZe4OZjveNwRils010V7G3GNZvYtJ1LuYRL17tDgMoQkTJgQ9gogv1LqYxOTeLeB7kZ1v9fhz0py3MJrK5N5N9nxyE+tc75sCQ+w4ZzZc0zTTqXcxiXoXk6h3jxaHIiIi0qGOtjrRx8oGYLFTzVfujoAnEpGOUIfLI4l1qY8vjnSjqy6pLiIikta0OAyhl19+OegRRHyh1sUkJvfe9GzDWTrb0Agm9266xW41f224Y3quFeHKaK+AJ+p46l1Mot7FJOrdo8VhCMXj8aBHEPGFWheTmNr7ECuXIbb3z77S2cF8tyrgicQPpvYunhnJjWxx6wEYYXfiO3Z+wBN1LPUuJlHvYhL17tHiMIROOeWUoEcQ8YVaF5OY2vt5ka6pnzfeOEEyn6m9i6cGh98n1qc+vizSk04Z/NcO9S4mUe9iEvXuydz/gouIiEig+lpZHG13AmCTW8/7zraAJxIRv8xzt/ORUwlAgRXlB5GeAU8kIiIi+8MC3KCHaK14PE5paSklJSVUV1cHPU6HicfjGf3PJ9JIrYtJTOx9QqQ3p0QKAHgysZ5XnC0BTyR+MbF3aamQKPfFBpJnRQC4q34lC93M60K9i0nUu5gkk3tvy35NZxyG0Lhx44IeQcQXal1MYlrvRUQZZXcGYLub5C2nItiBxFem9S67V0GCGckNqY+vjvYiGyvAiTqGeheTqHcxiXr3aHEYQj176q0cYga1LiYxrffvRoqIWt6C4HVnC7Xp8wYHaQem9S579razlS8c70yGHlYWYyPdAp6o/al3MYl6F5Ood48WhyG0evXqoEcQ8YVaF5OY1HseNqfbhQDUuQ6vJvUWZdOY1LvsnQs8mlhLnesA8F27iIFWTrBDtTP1LiZR72IS9e7R4jCEXnrppaBHEPGFWheTmNT7GXYXcizvS4y3na1sIxnwROI3k3qXfVtHPS8kNwFgWxbXRHoRCXim9qTexSTqXUyi3j1aHIbQxIkTgx5BxBdqXUxiSu8xLM6JdAHAcV3+kiwPeCIJgim9S+vNdspZ4ewAYICdw3ftooAnaj/qXUyi3sUk6t2jxaGIiIi0m1PsAgqsKAAfOpVsoD7giUQkDJLAI8l1OK53vdOxkW70IhbsUCIiIrJPWhyG0BtvvBH0CCK+UOtiEhN6t4HRkZ1nEZU6m4MbRgJlQu/SdkvdHbzseNc8zbJsror2Cnii9qHexSTqXUyi3j1aHIqIiEi7ONbOp6eVBcDnThUr3NqAJxKRsPm/5EY2uHUAHG7ncapdEPBEIiIisjdaHIbQGWecEfQIIr5Q62ISE3o/z+6a+vmspM42NJkJvcv+qcXlscS61Mc/iPSgMM1vlaLexSTqXUyi3j1aHIqIiMgBG2bFGWjnALDM2cEitzrgiUQkrBa41byb3ApAnhXhX6I9A55IRERE9sQC3KCHaK14PE5paSklJSVUV2fuX0gKCwupqKgIegyRDqfWxSSZ3vvk6MEMt/MA+E2ijA+dyoAnkiBleu9y4Dphc1+sOHUzpan1q5nnbg94qv2j3sUk6l1Mksm9t2W/pjMOQ2jMmDFBjyDiC7UuJsnk3gda2aml4Tq3jo+0NDReJvcu7WM7Dk8m16c+vjzak9w0/auJeheTqHcxiXr3pOd/nTNc3759gx5BxBdqXUySyb1/r8m1DWcny9PnrQzSYTK5d2k/f3Mqme94ZxkWWTEuiXQPeKL9o97FJOpdTKLePVochtD69ev3/SKRDKDWxSSZ2nsPYhxn5wOw1U3wrrM14IkkDDK1d2l/jyfWscN1ADgj0oUhVm7AE7WdeheTqHcxiXr36BqHIRSPxzP6n0+kkVoXk2Rq71dEenJmpAsAzyY28pKjuylL5vYuHeNsu0vqBilr3Fom1y+nPn3+iqLexSjqXUySyb3rGodp7ic/+UnQI4j4Qq2LSTKx985EOMUuAGCH6/CGsyXgiSQsMrF36TivOVv4yqkB4CArm/MjXffxGeGi3sUk6l1Mot49WhyKiIjIfjk3UkSW5X0p8YazhSqcgCcSkXTkAo8k15JwvbMMz7O7crCVHexQIiIiAmhxGErvvPNO0COI+EKti0kyrfdcbM60CwGodx3+ktTZhrJTpvUuHW+1W0dpw6UOopbFNZFeWAHP1FrqXUyi3sUk6t2jxWEIZep76EV2pdbFJJnW+xl2IXErAsAcZxsVJAKeSMIk03oXf7yY3EyZWwvAoXYuZ9tdAp6oddS7mES9i0nUu0eLwxA699xzgx5BxBdqXUySSb3HsPhupAgAx3X5c1I3RJHmMql38U8Cl0cT61IfXxTpTjdiAU7UOupdTKLexSTq3aPFoYiIiLTJKXYBBVYUgA+dStZRH/BEIpIplrg1vN5w6YMcy+aqhrsti4iISDC0OAyhhx9+OOgRRHyh1sUkmdK7DXyv4WxDIHVNMpGmMqV3CcYfkxvZ7HrfkDjS7sQou3PAE+2deheTqHcxiXr3aHEYQmeeeWbQI4j4Qq2LSTKl9+/YnelhZQEw39nOiobrkYk0lSm9SzBqcPh9Yn3q4/GRHuQTCXCivVPvYhL1LiZR7x4tDkOouLg46BFEfKHWxSSZ0LsFnGc3OdtQ1zaUPciE3iVYn7jb+SC5DYDOVpRLIz0CnmjP1LuYRL2LSdS7R4vDECovLw96BBFfqHUxSSb0PsLqRD87B4AvnWr+4dYEPJGEVSb0LsH7Q3I9VW4SgJMiBRxh5QU80e6pdzGJeheTqHePBbhBD9Fa8Xic0tJSSkpKMvq22LFYjPp6XWheMp9aF5NkQu9Tov0YbMcB+O/61Xzibg94IgmrTOhdwuEUu4AJ0d4AbHTr+Vn9UmpD9tcX9S4mUe9ikkzuvS37NZ1xGEI/+9nPgh5BxBdqXUyS7r1/y8pNLQ1XObV8qqWh7EW69y7h8Y6zlYVOFQDdrRgXRroHPFFL6l1Mot7FJOrdo8WhiIiI7NMFkW6pn5c6m0N2vo+IZLLHEuuocx0AzrG7MMjKCXgiERERc2hxGELvv/9+0COI+EKti0nSufchVi7DbO/aYuvcOv7mbAt4Igm7dO5dwmc99Tyf3ASAbVlcFz2IbKyAp9pJvYtJ1LuYRL17tDgMoY0bNwY9gogv1LqYJJ17b3q24Z+Sm3ACnEXSQzr3LuE02ynnK8e7IVMvK4tLQnSXZfUuJlHvYhL17tHiMITGjBkT9AgivlDrYpJ07X2QlcvwJmcbztXZhtIK6dq7hJcDPJhYw46GtyyfFekSmrssq3cxiXoXk6h3jxaHIiIiskdjI11TP38puVlnG4pIYNZRzzPJDamPfxjtRZ7+OiMiItKh9F/aEHr88ceDHkHEF2pdTJKOvR9q5XCE3QmADW4d7zlbA55I0kU69i7p4Q2ngs8b7rJcZMW4PNIz4InUu5hFvYtJ1LtHi8MQGjVqVNAjiPhCrYtJ0rH3ptc2fDG5mWSAs0h6ScfeJT24wP8m1lLlekekUZECjrPzA51JvYtJ1LuYRL17tDgMoSFDhgQ9gogv1LqYJN16P8TK4aiGsw03uvXM0dmG0gbp1rukl3ISPJFcn/r4ykgvCokENo96F5OodzGJevdocRhClZWVQY8g4gu1LiZJt97HNjnb8KXkJp1tKG2Sbr1L+pnrbOPDhps15VsRfhjtHdgs6l1Mot7FJOrdY+Gd8Z8W4vE4paWllJSUUF1dHfQ4IiIiGWmIlcsvYv0B72zDSfXfaHEoIqGTT4R7YwMptKIAPJlYzyvOloCnEhERCb+27Nd0xmEI3XHHHUGPIOILtS4mSafeL450T/38BZ1tKPshnXqX9FVJkocSa1MfXxLpTn8r2/c51LuYRL2LSdS7R4tDERERSTnKyuNbdhyAMrdW1zYUkVD73K3iL8lyAGKWzY+iB5GNFfBUIiIimUOLwxCaN29e0COI+EKti0nSoXcLuKjJ2YYzE5twghtH0lg69C6Z44/JjSxzdgDQx8pmfKSnr3++eheTqHcxiXr3aHEYQitWrAh6BBFfqHUxSTr0frydzwA7B4ClTg0fubogtOyfdOhdMkcCl98m1rDD9b7VcXqkkGOtfN/+fPUuJlHvYhL17tHiMITGjh0b9AgivlDrYpKw9x4BLmxytuEfkxuDG0bSXth7l8yzljr+kFyf+viaaC+6EfXlz1bvYhL1LiZR7x4tDkVERIRT7EJ6WVkALHKqWOju/e5qIiJh846zlb8ltwGQZ0W4IdqHqK53KCIickC0OAyhp556KugRRHyh1qVDWDb5xUdSdNRp5BcfCVY4/lMX5t5jWFwQ6Zr6+FmdbSgHKMy9S2Z7LLmO9W4dAIfaufwg0qPD/0z1LiZR72IS9e4Jx9+mpJkRI0YEPYKIL9S6tLfCYSdyxOSnGXLtVIrH/Zwh107liMlPUzjsxKBHC3Xv59pdKLJiAMxzKvna3RHwRJLuwty7ZLZqHH6TKKOu4XqHZ0e68B27Y693qN7FJOpdTKLePVochtDhhx8e9AgivlDr0p4Kh53IIeOnECvo3uz5WEE3Dhk/JfDlYVh7LyDCmIazDR3X1dmG0i7C2ruYYblb2/x6h5HeHERWh/156l1Mot7FJOrdo8VhCO3YoTM9xAxqXdqNZdOvZKL3U6v59awsywZcDj5vYqBvWw5r7xdGupNrRQB406mgrOEtfiIHIqy9iznecrbybnIrADmWzU3RPmR30PUO1buYRL2LSdS7xwLcoIdorXg8TmlpKSUlJVRX66LtIiLiyS8+kiHXTt3n65Y8NInKpZ/5MFF66Gdlc1d0ALZlUe0mmVS/lG0kgx5LRKRdZGPx79H+9LNzAJib3Mq05NqApxIREQleW/ZrOuMwhG699dagRxDxhVqX9hLrXNSur+sIYez90kgP7IYzNF9MbtbSUNpNGHsX89Ti8pvEGmpc79g2KlLAd+32/++AeheTqHcxiXr3aHEYQtFoNOgRRHyh1qW91G8rb9fXdYSw9X601Ylhdh4AG9w6XnG2BDyRZJKw9S7mWksdDyV2nmU4LtKdI6y8dv0z1LuYRL2LSdS7J7DFYf/+/Xn00UdZunQp1dXVfP3110yZMoVYLBbUSKExf/78oEcQ8YVal/ZSuWwBdRUbcBvuorkr13Wo3bKBymULfJ5spzD1HsPi0miP1MczEhtJpM+VSyQNhKl3kb+723k+uQkA27L4cfQgetF+f+dQ72IS9S4mUe+ewBaH3/rWt7BtmwkTJnD44Yfzk5/8hGuvvZa77rorqJFCY/HixUGPIOILtS7txnVYWToNsFosD72PLVbNmgZ7WCz6IUy9j7aL6GV5dxhd7FTzkVsZ8ESSacLUuwjAC8lN/N3xjnV5VoSbY33Jbae/Cql3MYl6F5Ood09gi8NXX32VK6+8ktdff51ly5Yxa9Ys/vu//5sLLrhgn5/bqVMn8vPzU4+srCwfJvbPJZdcEvQIIr5Q69KeKha+xzfTp1C/dVOz5+sqNvHN9ClULHwvoMk8Yem9OzHOj3QFIOm6PJFcH/BEkonC0rtIIxd4MLGWVU4tAH2sbCZGD2qX+yyHonfLJr/4SIqOOo384iPB0hWppGOEoncRn6h3T6jesF1QUEB5+b6vP1VWVtbsveZvvvkmTzzxBLNnz+a6664D4LXXXiMajXL66acD8MADDzB27Fj69OnD2rVree6557jxxhsBePvtt6mtreXss88G4KGHHuKcc85hwIABbNq0id///vfccsstAMydO5fy8nLOO+88AB577DFOPvlkBg0axNatW/nd737H5MmTAfjoo49YvXp1ahn65JNPMnLkSA477DBqamqYOnUqkydPxrZtPv30U7788ksuvvhiBg8eTHFxMUOHDuWoo44ikUhw7733cvPNN5OTk8OiRYv49NNPufTSSwF4/vnn6d+/PyNHjgTgzjvv5IYbbiA/P58lS5Ywd+5crrzySgBeeuklunfvzgknnADAL3/5S66++mqKiopYunQpr7/+OhMmTADg5ZdfJh6Pc8oppwBw//33M27cOHr27Mnq1at56aWXmDhxIgBvvPEGAGeccQYA06ZNY8yYMfTt25f169czY8YMfvKTnwDwzjvvUF1dzbnnngvAww8/zJlnnklxcTHl5eU8+uij/OxnPwPg/fffZ+PGjYwZMwaAxx9/nFGjRjFkyBAqKyt54IEHuOOOOwCYN28eK1asYOzYsQA89dRTjBgxgsMPP5wdO3bwq1/9iltvvZVoNMr8+fNZvHhx6kDw7LPPMnjwYEaMGIHjONx9991MmjSJ3NxcvvjiC+bNm8dll10GwAsvvEDfvn059thjAbj77ru5/vrrKSgo4KuvvuLdd9/lqquuAmDWrFkUFRUxatQoAO677z6uuOIKunXrxvLly3nllVe49tprAW+Znp2dzamnngrAb37zGy666CJ69+5NWVkZzz//PDfccEOq+UQiwVlnnQXAgw8+yOjRo+nXrx8bN25k+vTpTJo0CYA5c+awbds2Ro8eDcAjjzzCaaedxqGHHsqWLVt4+OGHue222wD44IMPWLduHeeffz4ATzzxBMcddxxDhw6lqqqKX//619x+++1YlsXHH3/M0qVLufDCCwGYMWMGw4cPZ/jw4dTV1XHfffdxyy23kJWVxYIFC1iwYAHjxo0DYObMmRQXFzN48GBuv/127rrrLm666Sby8vJYvHgxH374IZdffjkAL774Ir169eL4448H4J577mHChAl06dKFr7/+mrfeeotrrrkGgNmzZ9O5c2dOOukkAKZOncr48ePp3r07K1euzJhjBMAzzzyjYwS7P0YM+vIFehx2LBW1Dn+eOYMfX/I9rDGnMK9PXqDHiMGDB3PRRRcFfozo+ce3yFrl/bd2y8hBDIz1pGtIjxHHHHMMruvqGJGGx4jBgwdz9NFHh/IYoa8jMufriP05Rtx/z39zb/YgYrUJjrY7cU3+ALrf8ANg/48RgwcPJj8/P7BjxKiLJrA4dxC1DXePBshK1vDF0/dw3XknhfIYAeH9OkLHiL0fI/r3709ubm7GHiP0dYSOEU2PEd26dWPYsGEZeYwoKyujtSwIx0WNiouL+eSTT7j55pt57LHHdvuaxttFjxs3jpqamtTztbW11NXV+TVqhzv00EP5+uuvgx5DpMOpdTFJGHo/2urET2N9Adji1vPT+mXUENzbtyVzhaF3kT05zIozOXowkYa7yv8hsZ5XD+AGUUH2XjjsRA4ZPwUAy9p5/mTjZTrCcMa9ZBYd38Ukmdx7436tpKSE6urqvb623c9h/8UvfoHrunt9HHPMMc0+p3fv3rzyyivMnDlzj0vDprZv305lZWXqkUlLQ4DBgwcHPYKIL9S6mCTo3rOwuKzJDVGeSm7Q0lA6TNC9i+zNF241jyXXpT4eH+nBSKvTfv9+gfVu2fQr8c62abo09D62AZeDz5uoty1Lu9LxXUyi3j3t/l+R3/72t3zrW9/a62PhwoWp1/fu3Zu33nqLv/3tb/zwhz9s73HS0ogRI4IeQcQXal1MEnTv/xzpRo+GG6Iscqr4m6MbokjHCbp3kX1529nKn5rcaflH0YM4xMrZx2ftXlC95w8cTlZhjxZLw0aWZZPdpQf5A4f7PJlkMh3fxSTq3dPu1zjcvHkzmzdvbtVrDzroIN566y0+/vhjrrjiClw3FO+aDpzj6AwQMYNaF5ME2XuxlcN37SIA6lyH3yd0QxTpWDq+SzqYmdxEN2KcFCkgy7L5abQvv6hfwQbq2/T7BNV7rHNRu75OpDV0fBeTqHdPYNc47N27N++88w4rV67ksssuI5lMpn5t/frd/4WmLe/BFhEREYgAd0YH0K/hovl/TGyg1Nn3jchEREwQAW6LHszhdh4A69w6/r1+BVtJ7v0TQyC/+EiGXDt1n69b8tAkKpd+5sNEIiKSLgK9xmFrnXXWWQwaNIh/+qd/oqysjHXr1qUepmu8Q5VIplPrYpKgei+xu6aWhsudHczW0lB8oOO7pIskcH+ijNVOLQC9rCwmRw8mrw1/TQqq98plC6ir2NBwI5SWXNehdssGKpct8HkyyWQ6votJ1LsnsMXhH/7wByzL2u3DdLm5uUGPIOILtS4mCaL3PlYW3490AyDpujycXJsG59BIJtDxXdJJNQ73JFax0fXeotzPzuHW6MHktPKvSoH17jqsLJ0GWC2Wh413VV41axrsYbEosj90fBeTqHePbrEVQl988UXQI4j4Qq2LSfzuPQJMjBxEtOEbcn92NrPCrfV1BjGXju+SbspJcFf9Sra4CQAOtXO5OdqHGPs+qSHI3isWvsc306dQv3VTs+frKjbxzfQpVCx8L6DJJFPp+C4mUe+edr85ihy4efPmBT2CiC/UupjE797/OdKdAQ1vUV7t1vJCsnU3LhNpDzq+SzpaTz33JFbxr9F+dLIiHG7ncWO0D/cnVu/1bO2ge69Y+B4Vi94nf+BwYp2LqN9W7r09WWcaSgcIuncRP6l3j844DKHLLrss6BFEfKHWxSR+9v4tK5fzGu6inHBdpiXWUB/MvdDEUDq+S7pa5dZyb2IVNa63Kjza7sQN0T5E9vI5oejddahc+hnl89/yboSipaF0kFD0LuIT9e7R4lBERCSD5GJzXfQg7Ia3KD+X3Ki3KIuItME37g7+O1FGXcPy7dt2Pj+J9m3V25ZFREQyjRaHIfTCCy8EPYKIL9S6mMSv3q+I9KS7FQPgC6dad1GWQOj4LulusVvNfYnV1DYsD4+2OzFpD9c8VO9iEvUuJlHvHi0OQ6hv375BjyDiC7UuJvGj99PsAk6MFABQ5SZ5MLFGb1CWQOj4LplgkVvNLxOr2dGwPDzS7sRPo33J2mV5qN7FJOpdTKLePVochtCxxx4b9AgivlDr4hvLJr/4SIqOOo384iPB8v8/fx3d+wArm3+J9Ex9/GhyHZtJdOifKbInOr5LpljsVje75uFwO49bowcTb/LXKPUuJlHvYhL17tFdlUVEJKMVDjuRfiUTySrskXqurmIDK0unUbHwvQAnaz952NwU7UNWw0L0lWQ5HzqVAU8lIpIZlrg13JNY5S0MrQhD7Tj/Fu3HPYnVVOgbNCIikuEsSJ93McXjcUpLSykpKaG6ujrocTqMbds4ju6EJplPrUtHKxx2IoeMnwKAZe18a5nrOoDFN9On+LY87MjeJ0X7MNLOB+Brp4Z/T6wg2SF/kkjr6PgumWiglcOt0b50trxzLza69dxbv4p1dkK9izF0fBeTZHLvbdmv6a3KIXT99dcHPYKIL9S6dCjLpl/JRO+nVvPrUVmWDbgcfN5E39623FG9f9/umloaVrpJHkiUaWkogdPxXTLRMncHU+pXsMGtA6C7FeMXsX78bOwPAp5MxD86votJ1LtHi8MQKigoCHoEEV+odelI+QOHk1XYo8XSsJFl2WR36UH+wOG+zNMRvR9n53NhtDsAjuvyYGINm/S2OQkBHd8lU62jnl/Ur2C5swOAfCvKsNmfMNLqFPBkIv7Q8V1Mot49WhyG0FdffRX0CCK+UOvSkWKdi9r1dQeqvXsvtnK4LtI79fEfkxuZ71a1658hsr90fJdMtpUk/5lYyULHO+baiSSTYn053+4a8GQiHU/HdzGJevdocRhC7777btAjiPhCrUtHqt9W3q6vO1Dt2XsXotzc5GYo7yQr+LPjzz+HSGvo+C6ZrgaHXyZW815ya+q5i6Ld+VHkILLY/ZnuIplAx3cxiXr3aHEYQldddVXQI4j4Qq1LR6pctoC6ig0NN0JpyXUdardsoHLZAl/maa/e87C5NdqXLlYMgH841TyWXN8uv7dIe9HxXUyQwOV3ybWsP3kYjuvdb/KESGf+LdqPIqIBTyfSMXR8F5Ood48WhyIikplch5Wl0wCrxfKw8a7Kq2ZNgz0sFsMoC4ufRvvSz84BYINbx/2JMhK4AU8mImKuTccNYWqijBrXuzVVsZ3LnbEBHG7FA55MRETkwGlxGEKzZs0KegQRX6h16WgVC9/jm+lTqN+6qdnzdRWb+Gb6FCoWvufbLAfaewS4IdqHIbb3F9GtboJ76ldRqXsoSwjp+C4mmTVrFp+42/lFYucdlwusKJOjB3OB3VVvXJaMouO7mES9e3QOfQgVFflzoX6RoKl18UPFwveoWPQ++QOHE+tcRP22cu/tyT6faXggvVvADyO9Odr27tpZ7Sa5N7GKddS303Qi7UvHdzFJY++r3Tr+tX4F10V7c5TdCduy+Odod4Y4caYl1rBN3+iRDKDju5hEvXt0xmEIjRo1KugRRHyh1sU3rkPl0s8on/8WlUs/C+TtyfvbuwVMiPTmpEgBAPWuw9REGcvd2nacTqR96fguJmnaeyVJ7kus5o+JDanrHg6387g7NoBheuuyZAAd38Uk6t2jxaGIiEhIWcC1kd6c3LA0TLgu/5NYwxdudbCDiYjIHrlAqVPOfyVWssX1zgzvYsW4PdaPyyM9dddlERFJKxakzxXV4/E4paWllJSUUF2duX9pysrKoq6uLugxRDqcWheTtLV3G7gu0ptRzZaGZfzd3d5BE4q0Hx3fxSR7670zEa6P9uaIhktNAKxxa3kwsZZv3B1+jSjSbnR8F5Nkcu9t2a/pjMMQuuKKK4IeQcQXal1M0pbes7C4Kdqn2dLwAS0NJY3o+C4m2Vvv20hyT2I1v0+so7bhMhkHWdn8e7Q/F0e6EdPZh5JmdHwXk6h3jxaHIdStW7egRxDxhVoXk7S2907Y3B49mJF2PuAtDX+dKGOeloaSRnR8F5O0pvfXnQom1y/ja6cGANuyGBPpxr2xgRyuax9KGtHxXUyi3j1aHIbQ8uXLgx5BxBdqXUzSmt67EeUXsf4Mtr2/RDbePfkTLQ0lzej4LiZpbe/rqGdKYgUzExtJNNw4pZeVxR2xflwX6U0+kQ6cUqR96PguJlHvnmjQA0hLr7zyStAjiPhCrYtJ9tX7ECuXm6J9KLC8/zRvcRP8MrGKFbp7sqQhHd/FJG3p3QH+5GzmI6eSq6K9+FbDN4pOihRwlN2JmcmNvOlU4HTQrCIHSsd3MYl69+iMwxC69tprgx5BxBdqXUyyt97PsAu5I9ovtTRc49byi/oVWhpK2tLxXUyyP72XUcd/JlbySGItVW4SgHwrwpXRXtwVHcAwvX1ZQkrHdzGJevfojEMREZGAxLD4l0hPTo8Upp773KnifxJlVOl8ExGRjOYCbzlb+cTZzqWRHqkbYvWzc7jd7sfHTiVPJzawjvpgBxUREaNpcRhCr776atAjiPhCrYtJdu29j5XFjyMH0c/OST335+Rm/pjcqJWhpD0d38UkB9r7VpJMS67lNaeCyyI9OMTOBeAYO5+jYp1419nKC8lNbCbRHuOKHBAd38Uk6t2jxWGIDLSyiWLTy4lQSJQaktTiBj2WSIfJzs4OegQR3zTt/XS7kMsiPciyvCuG1LoOjybXMdfZFtR4Iu1Kx3cxSXv1/pVbw78lVjDK7sz/i3SnyIoRsSxOixRyot2ZvzoVvJTczFaS7fLniewPHd/FJOrdo8VhiFwa6clQOw4LtzIu61AAEq5LDUmqcKh2k1TjUI1DlZukpuFH77kk1a5DFY3Pe8/V4Gj1KKF16qmnMnfu3KDHEPHFqaeeyuK5H3JVtBcj7E6p51c6O/ifxBrKqAtwOpH2peO7mKQ9e3eB95xt/N2p5Fy7iNGRIvKsCDHL5pxIEafZhbzpVDA7WU65zkCUAOj4LiZR7x4tDkMkvpt71UQti3yi5ANY+/f7Vrve4rGm4cfGJWOLhWPDj9VNlpRVJPU9TRGRA2QBXeYv5ZexgcStSOr515JbeDq5gXp9i0dERJqoxeVFZzOvO1v4XqSIs+0iciybbMvm3EgRZ9pdmONsZVZys66BKCIiHcqC9PnbSjwep7S0lJKSEqqrq4Mep92dbXehuxWjIJZNLOEQxyaPCLmWTR42cSJErP3cHh6AOtfZZeG488ddz4RsunBsfI3ebi170qlTJ7Zv3x70GCIdqr+VzWWNZ5Q32OLW81hiPZ+46l8yk47vYpIO792y6TnwSI4r7M+x2+sZsGIptut9fe24LvPc7bya3MJiN/P+fiTho+O7mCSTe2/Lfk1nHIbIq84WAK78lyuZ9vjju31NNhZxIsQtb5GYh03cihDH9h4NP89r8prUj3jfpWyrLMsmC5suRPfrrMek63rLRpzU2Y2Nb7euIknVLs9VN3muCoeEFo8Z66KLLuLxPbQuku46YXNhpDv/ZBdiN/mmz1vJCp5ObqBat0CRDKbju5ikI3svHHYi/UomklXYgzXAi0CkYhOnz/4/hi9egG1ZHGvlc6ydz0pnB686W5jrbKNOXz9LB9HxXUyi3j1aHIZQ79699/hrtbjUkmBL068F2vB1QRSrxZKxcbmYt8uSsfnPdy4p2ypygG+3rmtcIjZZJlY3edt1VcPPq3bz3A5d4zHU9ta6SLrKxuIsuwvnRbrSqckxs7Ywj19tXMxCnREiBtDxXUzSUb0XDjuRQ8ZPafF8oqCI18ZN4O9P/Tff/8fXdLG8v9L1s3O4xu7NJW4P3nYqeDNZobcxS7vT8V1Mot49WhyGUFlZWYf93glctpFkG0lwm3wh0crtmgXk0vRMxt0tHBvOetzNmZBxIkTb+Hbr1BmP+7F0dFy32VunvcVjk7Mc9/Gcru/YsTqydRG/RbE43S7g/Eg3Cq2d/3mtcZP8KbmZ7md/j4XTPw5wQhH/6PguJumQ3i2bfiUTvZ/u8rWzZdm4rsP67/0LNyz8AcdaeZxtd2FwwyUxOlkRvhfpyvciXfmHU807zlY+dCrZoTPdpR3o+C4mUe8eXeMwhPLz86msrAx6jA6TjZVaNuYR8R6NZzymFo47n8trcsZj7n6c8XggdjRey7HJNR1Tb7Fueuajm2R7s7dgO/rirBUyvXUxQx42/2QXcnakKHXWB3jfuJjjbOXZ5CYqSKh3MYp6F5N0RO/5xUcy5Nqp+3zdkocmUbn0MwAGWjmcbXfhO3Y+sV0uT7TDdfjQqeRdZyv/cKvT5y+AEjo6votJMrl3XeMwzd1www3ceeedQY/RYRrfbl2+H2+3jkCzazvu/NH7eV7jc0RSP89rct3Htt5cJseyycGm6ACu7ViVunbjzh+3N7yduvFsyCq3+SKyiqQRa8dMb10yW1einBsp4jS7oMU3NT50tjEzsYk11KWeU+9iEvUuJumI3mOdi9r8umXuDh5KrmVGcgMn2gWcahfQ184GvK9pT4kUcEqkgC1uPR86lXzgVPKVW6MlorSJju9iEvXu0eJQ0koSqCRJZdO3Wrfhq52chrdOp5aKTc983M1zO18bIaeNN5Y50Gs7VrvNz2Dc3fUcq5ouIJucCVmvLwFFOkQEGGF14rRIIUdaec1ueuK4Ln93KylNbmaZWxvckCIikvbqt5Xv9+u2keQvTjl/cco5xMrhFLuA79idyWv4JlcXK8Y5kSLOiRSxuWGJ+Henki+1RBQRkd3Q4jCE3nzzzaBHyFg7Gt5CXO4mdj65H2c7Ni4T83a5u3WnZsvG5mdD2m082zHe8JbtblasTZ8HjTeUabxm4y5nPe5hAdn4uhofz3VU65IuDrayGWV35hS7gAKr+X8661yHd5yt/CVZzvq9XIRevYtJ1LuYpCN6r1y2gLqKDcQKumHt5pvXrutQV7GJymUL9vr7fOPu4JvkDqYnNzDS7sR37M4caeWl3src1Yrx3UgR340UUekmmO9U8Ym7nc+dKl+/JpT0oeO7mES9e7Q4DKFEIrHvF4nvDvRsx9xmZzs2f2t16rqOTd9a3eR1WW082zF1QxmibT7bcde3WO98C3XrznZsy3eq1bqE2cFWNsfb+Rxn53OQld3i1ze69bydrOANp8I7LuyDeheTqHcxSYf07jqsLJ3GIeOn4LpOs+Wh6zqAxapZ08Bt3XKvHpe/OZX8zakkF5uRdieOsztzhJWXunFhvhXlpEgBJ1FAwnX5h1vNJ852FrhVlLl1+/gTxBQ6votJ1LtHi8MQOuuss/j73/8e9BjSzmoazubbvB9nO8awmryNepezHvdwhmPqrtZtvKFMe7zFek9nOO66gBxz+DGU/f0z74xHvcVaApaFxWFWnCPsPI6yO9HLymrxmoTrMs+p5C2ngoVtvLi8ju1iEvUuJumo3isWvsc306fQr2QiWYU9Us/XVWxi1axpVCx8b79+3xoc5jjbmONsIw+bo+1OHG13YriVl/q6MWpZDLPyGGbnAbDFTfCFU8VCt5pFThWb0F+mTaXju5hEvXu0OBRJA/W4VJCkguTOZWMrNxY27HK9xpZnODYuJdvzLdbdW/MW6xlv899ZxakPvbdY73Jm4y4LyMYzHLfvcmdr3cVa2iqGxSFWDkOsOEPtXL5lxXd7dq/juvzDreFDZxsfOpVsa8XZhSIiIu2hYuF7VCx6n/yBw4l1LqJ+W7n39uRWnmm4L1VNlogRYKgVTy0SezT5BloXK8qoSAGjKABgnVvHIqeKJW4NXzo1bNjLpTpERCS9WbTpzZbBasvtotNZUVER5eWtuyCySEey8G4os/tlo3eNx7xd7nLd9EzIWBvfYn0gWr7FOklVk0Vk9W6ea3xddRvfYi3pxwK6E6O/lcMg21sWDrRyUm/P2lXCdVniVvNRwwXjK9phWahju5hEvYtJMrX3PmRxpN2JYXacb1nxvd4ocIub4Eu3mi+dGr50a1ju7tC32TJUpvYusjuZ3Htb9ms64zCERo8ezfTp04MeQwSXnW+x3rTfb7He8/UcRx42jJWLlzRbNjYuIHMDfIt108Vi9S4Lxt0tJRNaO4ZKPhF6WVn0sbIYYOXQz8qmn5W9z7ftb3Lr+czZzmdOFYvc6na/KLyO7WIS9S4mydTey6ijrOHuzBHgUCuXw604h9t5DLJym33zrYsV5TirM8fZnQHvXSSr3FqWujtY5u5gqbuDMrdWy8QMkKm9i+yOevdocRhC/fr1C3oEkXbhvcU6QQXs9i3Wh405kYcXvrPbz931Lta73jCm8S7WTe9s3fjr8Y5+i/Uual2H6obFYo3rpJatNa73Fuoaks2e39HsNcmG1zjUagHZKrnYFFlRuhLzfrRi9CJGLyuLXlYWea1cOq9xa1nScGbEEqeadR38Nisd28Uk6l1MYkLvSWCJW8MSt4YXnM1kY3GolctgK5fBdi6DrNxm36DLsmwOsXI5hNzUc3Wuwwq3lmXuDpa7O1jt1rLardPlZtKMCb2LNFLvHi0OQ2jjxo1BjyDii721fiB3sd75Fuvmb6dOne24y3N5uywg2/oW62zLJhubLo1/+H5yXHe3y8UdONS6DrUNy8W6ho/rcNmB92Ndw6+nnnPdho+9zwnjjWcieP875WCTY9mp/83yG5bCqR8bft7FilJEtM1no4J3B+QV7g5WurUsc3bwpVvTqjshtycd28Uk6l1MYmLvtbgscqtZ5FaD433509fKZkjDMrHYzuEgK7vZ52RZNoOsXAY1WSYCbHDrWO3WscqtZbVbyyq3ljVund7REVIm9i7mUu8eXeMwhHJzc6mpqQl6DJEOF9bWs7BSC8ZO7P5sx90tJXMblmBtPdvRL/Wu97bqBJDAJYnb8LFLwm3+cbLhdY1Xf9zTPXncJs9YWESAKBYRLKINj8afRyyIYaf+Pe3p+oL7y3FdNpNgnVvHWreOdW4dK9xaVro7qArB2Qxh7V2kI6h3MYl6371cbPpb2RRbuQy0sim2c+nd5IYre5N0XdZTxzq3nrVN/ru+1q1ji+7oHCj1LibJ5N51jcM0N2nSJO68886gxxDpcGFtvQ6XOhJUNN2SteFsxywscvEWibmWtyhr/HlO6ueR1PM5u7ymcbG2P2fW7U3MstnjG7HDuetsZofrUE495W7CezT5+Xrq2ODWH9iZlZbdYXethPD2LtIR1LuYRL3vXg0O/3Br+Ifb8JfuJMSxGWDlcLCVzcFWNn2tLPru5jrEEcviILJbnLUI3tcD6xoWieupY6Nbn3psIqEzFTuYeheTqHePFociIu3IxXv7Tu2u13bc9eet0PiW61xssrDItmyysMnG8n60LLJp8pzl/dj0Oe9zvOdSZwFaO88M3PXREWdLJtydZzHWN7yVuvGt2LUNP9+Bk7rWY6XrvUW96Y/bSXboNZAKh51Iv5KJZBX2SD1XV7GBlaXTqFj4Xof9uSIiIiapxuELt5ov3OZnt3Ql2mSZ6P3Y28oiezeXj8mxvOXjAHJa/JrjumwhwabGZSINC0W34ZuNJHRNRRGRNtLiMITmzJkT9AgivlDre9f0rtapJ3Z9QTuzaL5QtNh5MqLV7FUtn3dp/hboJG5a3D2xcNiJHDJ+SovnYwXdOGT8FL6ZPqVdlofqXUyi3sUk6v3AbSbBZjfBfLcq9ZwFdCGauvlZ74ZHLytGD7J2e8kT27LoSoyuVowhe/izqt0k5STY4iYod+spx3v3wpYm72aoJKnzFvdAvYtJ1LtHi8MQ2rZtW9AjiPhCrYePi3c37DDeTKVDWDb9SiZ6P93lLyCWZeO6DgefN5GKRe8f8NuW1buYRL2LSdR7x3AhtdTb9QzFCNCdGN2tGN2tLLpbMXoQo5vlPVdo7fmvufGGm+X13c3boBs5rkslSba6Cba2+DHBVjeZ+rGSRFp8o7S9qHcxiXr3aHEYQqNHj2b+/PlBjyHS4dS6BC1/4PBmb0/elWXZZHfpQf7A4VQu/eyA/iz1LiZR72IS9e6/JLCOeta59eC2vKh/FhbdiNGjYZFYZMUoIkqRFU39fHdvg25kWxYFRCnYywKyqUo3wTaSbG+4vMr2hsutNH5c6Tre800uwZKu12JU72IS9e7R4lBERIwV61zUrq8TERGR4NXhsoY61rh1e7y0Sx42XawoRcS8hSLeUrGLFaWACJ0bfoztZcHYKN+Kkk+0TTeb29G4THSTVJGkGodqt+HHJj+vSj2XpNpt+BFHV2oUEd9ocRhCjzzySNAjiPhCrUvQ6reVt+vr9ka9i0nUu5hEvaenKhyq3DpWs+flInh3gvbOPoykfmxcKhZY0dRznYi0uDv03uRYNjnYdLNi+zX/Drf5MrHxJnM73IYb0ZFkh+umbkZXs8vN6JrenK4tl6hR72IS9e7R4jCETjvtNJ599tmgxxDpcGpdgla5bAF1FRuIFXTD2s0ZBa7rUFexicplCw74z1LvYhL1LiZR75nNO9uvjrWNu7W97NgiQCcidLIi5BNp/vOG5WK+1fz5PCK7vdHLvjQuHova/qktJFzXWy42LBJ3uN6ysRaXOrfhx4YF5KG9hvLppkSz5+oaPr8Ot9nHjc8Zc+1syTg6vnu0OAyhQw89NOgRRHyh1iVwrsPK0mkcMn4Krus0Wx66rgNYrJo17YBvjALqXcyi3sUk6l0aJaHhJipNbpfSip1ZNha5RMjDbrh5i03csonT+HPv13KxybMi3o9EyLW8H3Na8XbqvYlaFtGGJSaw97dc/2M934ru+frQu+O47s6lYsOP9a5LfcPZjvV4v17v7vzYe3hLyKYf73ztvj+/DseoG9dI+9Px3aPFYQht2bIl6BFEfKHWJQwqFr7HN9On0K9kYrMbpdRVbGLVrGlULHyvXf4c9S4mUe9iEvUuB6oWl1oSVMDORWMbTtKzgRzs1CPXssluWDQ2npnY9Oeph9XwfLNfs8htw1uuWzWfZZGDRQ5NFpztcKZkaziuS6JhkZjY9eE2/7jxNcmGX9v750ACJ/XzehwSLt7n7u7Pc3f+3jsfpJ7TNSvDScd3j0WbDknBisfjlJaWUlJSQnV1y7tnZYpIJEIyqe+NSOZT6xIqlk3+wOHEOhdRv63ce3tyO5xp2Ei9i0nUu5hEvUumsYAYFtnYZGORhU225f2Ya0eJOi7Zlk1Ww2uysBo+9l6fjU2W1fhrLX+PbCxi2Pv1Fu1MlnCbLxYTgJP6uUuyYTHZdPHY+GsODUtIt+Wvpz6/8WO35ecnm/4eDX+W2+T3cRp+vfF1TpPPSeLiuI3PNb625ec1vj5tFlBk9vG9Lfs1nXEYQrfddht33nln0GOIdDi1LqHiOlQu/azDfnv1LiZR72IS9S6ZxsW7M3UdSSqbPgnccdsdXu/tsP1pXFDGGhaJWY0/t7yPY1hNnrNTr81qeL33OqvZ79H4+Vk0/z28t2NbRBpeG23ysEOywGyccY/CMWa7SLjuXpeRTRePSbflczs/r+lismHZucsS023yOXv6semf0fT1Z551Fne+/DzlJPz+VxQqWhyKiIiIiIiIiK92Lii9VU2zX9jdizuIDc0WiU0fMWvnz1ssHa3df07T52O7fG7EgkjDx96D1K83fhyxdvm4ye/R+HFYlp37yzvbtJX/DEH+o/71Mw6ysih3tTiUkPnggw+CHkHEF2pdTKLexSTqXUyi3sUkmdi7Q9MF5i72trAM8D23FrRYPNpYRGmymLT2vHjc+Zrdf76NhQ3YTZaZOz9u/mt2w+sbfx6xSH1+099r95+3c1G6t9+z8fMjASxMdf1JLQ5Dad26dUGPIOILtS4mUe9iEvUuJlHvYhL1Hg4upG7MUrunDWZrFpvpdMHBBo1L0z0vI3cuSK0mS8xdf4zs4XkLC9vyzkTt16cvZatqg/kHDZEDu2+7dIjzzz8/6BFEfKHWxSTqXUyi3sUk6l1Mot4laI1L0zpcanCowqGSJBUkKSfBJupZTz1rqKPMrWOVW8sKt5Zl7g6+cXfwlVvDEreGL9xqFrrVfO5WMd+t4hN3O/Pc7fzdreRDp5K/OZUcetkFbCUzb47SFlocioiIiIiIiIiISAtaHIbQE088EfQIIr5Q62IS9S4mUe9iEvUuJlHvYhL17gnF4jArK4tPP/0U13U58sgjgx4ncMcdd1zQI4j4Qq2LSdS7mES9i0nUu5hEvYtJ1LsnFIvDX/7yl6xZsyboMUJj6NChQY8g4gu1LiZR72IS9S4mUe9iEvUuJlHvnsAXh+eccw5nnXUWP/3pT4MeJTSqqqqCHkHEF2pdTKLexSTqXUyi3sUk6l1Mot49FgHegLtHjx58/PHHnH/++WzatInly5dz1FFH8dlnn+329fF4nNLSUsaNG0dNTU3q+draWurq6vwaW0REREREREREJC017tdKSkqorq7e62ujPs20W0888QQPPfQQH3/8Mf3792/155WVlRGN7hz9zTff5IknnmD27Nlcd911ALz22mtEo1FOP/10AB544AHGjh1Lnz59WLt2Lc899xw33ngjAG+//Ta1tbWcffbZADz00EOcc845DBgwgE2bNvH73/+eW265BYC5c+dSXl7OeeedB8Bjjz3GySefzKBBg9i6dSu/+93vmDx5MgAfffQRq1ev5oILLgDgySefZOTIkRx22GHU1NQwdepUJk+ejG3bfPrpp3z55ZdcfPHFDBo0iP/4j/9g6NChHHXUUSQSCe69915uvvlmcnJyWLRoEZ9++imXXnopAM8//zz9+/dn5MiRANx5553ccMMN5Ofns2TJEubOncuVV14JwEsvvUT37t054YQTAO9t4ldffTVFRUUsXbqU119/nQkTJgDw8ssvE4/HOeWUUwC4//77GTduHD179mT16tW89NJLTJw4EYA33ngDgDPOOAOAadOmMWbMGPr27cv69euZMWMGP/nJTwB45513qK6u5txzzwXg4Ycf5swzz6S4uJjy8nIeffRRfvaznwHw/vvvs3HjRsaMGQPA448/zqhRoxgyZAiVlZU88MAD3HHHHQDMmzePFStWMHbsWACeeuopRowYweGHH86OHTv41a9+xa233ko0GmX+/PksXryYSy65BIBnn32WwYMHM2LECBzH4e6772bSpEnk5ubyxRdfMG/ePC677DIAXnjhBfr27cuxxx4LwN133831119PQUEBX331Fe+++y5XXXUVALNmzaKoqIhRo0YBcN9993HFFVfQrVs3li9fziuvvMK1114LwKuvvkp2djannnoqAL/5zW+46KKL6N27N2VlZTz//PPccMMNqeYTiQRnnXUWAA8++CCjR4+mX79+bNy4kenTpzNp0iQA5syZw7Zt2xg9ejQAjzzyCKeddhqHHnooW7Zs4eGHH+a2224D4IMPPmDdunWcf/75gPf/0eOOO46hQ4dSVVXFr3/9a26//XYsy+Ljjz9m6dKlXHjhhQDMmDGD4cOHM3z4cOrq6rjvvvu45ZZbyMrKYsGCBSxYsIBx48YBMHPmTIqLi/l//+//8eWXX3LXXXdx0003kZeXx+LFi/nwww+5/PLLAXjxxRfp1asXxx9/PAD33HMPEyZMoEuXLnz99de89dZbXHPNNQDMnj2bzp07c9JJJwEwdepUxo8fT/fu3Vm5cmXGHCMAnnnmGR0jSK9jxMiRI/nLX/6iY0QbjhHHHHMMruvqGJGGx4hBgwbxwAMP6BihryOMOEYMGjSIH//4xzpGtOEYAfo6Il2PEf379+fGG2/UMQJ9HWHCMaJr1648/vjjGXmMKCsroy3c9nz84he/cPflmGOOcX/84x+77733nmvbtgu4/fv3d13XdY888sg9/t7xeNx944033B49erj5+fmpR1ZWVrv+MwT9uOOOOwKfQQ89/HiodT1Meqh3PUx6qHc9THqodz1Meqh3PUx6ZHLvjfu1eDy+z9e2+xmHv/3tb/njH/+419csX76cn//85xx//PHU1tY2+7V58+bx9NNPp74DsDvbt2/f56mU6ezjjz8OegQRX6h1MYl6F5OodzGJeheTqHcxiXr3tPvicPPmzWzevHmfr7vhhhv4+c9/nvr4oIMO4rXXXuPiiy/mww8/bO+x0srSpUuDHkHEF2pdTKLexSTqXUyi3sUk6l1Mot49gd1VedWqVSxatCj1+PLLLwH45ptv2vxe60zTeB0HkUyn1sUk6l1Mot7FJOpdTKLexSTq3RPY4lBERERERERERETCK9C7Kje1YsUKLMsKeoxQmDFjRtAjiPhCrYtJ1LuYRL2LSdS7mES9i0nUu0dnHIbQ8OHDgx5BxBdqXUyi3sUk6l1Mot7FJOpdTKLePVochpDiFFOodTGJeheTqHcxiXoXk6h3MYl692hxGEJ1dXVBjyDiC7UuJlHvYhL1LiZR72IS9S4mUe8eC3CDHqK14vE4paWllJSUUF1dHfQ4IiIiIiIiIiIiaaUt+zWdcRhCt9xyS9AjiPhCrYtJ1LuYRL2LSdS7mES9i0nUu0eLwxDKysoKegQRX6h1MYl6F5OodzGJeheTqHcxiXr3RIMeQFpasGBB0COI+EKtS9qzbPIHDifWuYj6beVULlsArrPbl6p3MYl6F5OodzGJeheTqHePFochpDjFFGpd0lnhsBPpVzKRrMIeqefqKjawsnQaFQvfa/F69S4mUe9iEvUuJlHvYhL17tFblUNo3LhxQY8g4gu1LumqcNiJHDJ+CrGC7s2ejxV045DxUygcdmKLz1HvYhL1LibZa++WTX7xkRQddRr5xUeCpb9+SXrT8V1Mot49OuNQRESkLSybfiUTvZ9aVvNfsmxc1+Hg8yZSsej9Pb5tWUREMl9bz0wXEREJI33LK4RmzpwZ9AgivlDrko7yBw4nq7BHi6VhI8uyye7Sg/yBw5s9r97FJOpdTLK73vfnzHSRdKDju5hEvXu0OAyh4uLioEcQ8YVal3QU61y0X69T72IS9S4madH7Ps5MB5eDz5uoty1LWtLxXUyi3j36r1UIHXPMMUGPIOILtS7pqH5b+X69Tr2LSdS7mGTX3vf3zHSRdKDju5hEvXu0OAwh13WDHkHEF2pd0lHlsgXUVWzA3cP1C13XoXbLBiqXLdjlefUu5lDvYpJde9/fM9NF0oGO72IS9e6xgLT5NxGPxyktLaWkpITq6uqgxxEREUM1XrsK3Ia3nXm8ZaLFN9On6ML3IiKGyi8+kiHXTt3n65Y8NInKpZ/5MJGIiEhzbdmv6YzDELrpppuCHkHEF2pd0lXFwvf4ZvoU6rduavZ8XcUmb2m46H3yi4+k6KjTyC8+EixbvYtR1LuYZNfe9/fMdJF0oOO7mES9e6JBDyAt5eXlBT2CiC/UuqSzioXveQvCgcOJdS6ifls5lcsWUHj4CRwx+WmyCnukXltXsYHtsfUBTiviLx3fxSQtencdVpZO45DxU3BdZ7dnpq+aNQ32sFgUCTMd38Uk6t2jMw5DaPHixUGPIOILtS5pz3WoXPoZ5fPfonLpZxQefgKHjJ9CrKB7s5fFCroxPz6MwmEnBjSoiL90fBeT7K73fZ6ZrstZSJrS8V1Mot49OuMwhD788MOgRxDxhVqXjGLZ9CuZ6P10lztpWpaN6zocfN5EKha9r7NMJOPp+C4m2VPvezozXf8NkHSm47uYRL17dMZhCF1++eVBjyDiC7UumSR/4HCyCnu0WBo2siyb7C49yB843OfJRPyn47uYZK+973JmupaGku50fBeTqHePFociIiLtINa5qF1fJyIiIiIiEjQtDkPoxRdfDHoEEV+odckk9dvK2/V1IulMx3cxiXoXk6h3MYl692hxGEK9evUKegQRX6h1ySSVyxZQV7Gh4Y6Zu+G61G7Z4F3fSiTD6fguJlHvYhL1LiZR7x4tDkPo+OOPD3oEEV+odckorsPK0mmA1WJ52PjxqlnTdH0rMYKO72IS9S4mUe9iEvXu0eJQRESknVQsfI9vpk+hfuumZs/XVWziqOqFVCx8L6DJRERERERE2s4C3KCHaK14PE5paSklJSVUV1cHPU6HiUQiJJPJoMcQ6XBqXTKWZZM/cDixzkXUbyunctkCIral3sUYOr6LSdS7mES9i0kyufe27Nd0xmEITZgwIegRRHyh1iVjuQ6VSz+jfP5bVC79DFxHvYtR1LuYRL2LSdS7mES9e7Q4DKEuXboEPYKIL9S6mES9i0nUu5hEvYtJ1LuYRL17tDgMoa+//jroEUR8odbFJOpdTKLexSTqXUyi3sUk6t2jxWEIvfXWW0GPIOILtS4mUe9iEvUuJlHvYhL1LiZR7x4tDkPommuuCXoEEV+odTGJeheTqHcxiXoXk6h3MYl692hxKCIiIiIiIiIiIi1ocRhCs2fPDnoEEV+odTGJeheTqHcxiXoXk6h3MYl692hxGEKdO3cOegQRX6h1MYl6F5OodzGJeheTqHcxiXr3aHEYQieddFLQI4j4Qq2LSdS7mES9i0nUu5hEvYtJ1LtHi0MRERERERERERFpwQLcoIdorXg8TmlpKSUlJVRXVwc9TofJzc2lpqYm6DFEOpxaF5OodzGJeheTqHcxiXoXk2Ry723Zr+mMwxAaP3580COI+EKti0nUu5hEvYtJ1LuYRL2LSdS7R4vDEOrevXvQI4j4Qq2LSdS7mES9i0nUu5hEvYtJ1LtHi8MQWrlyZdAjiPhCrYtJ1LuYRL2LSdS7mES9i0nUu0eLwxCaPXt20COI+EKti0nUu5hEvYtJ1LuYRL2LSdS7R4vDELruuuuCHkHEF2pdTKLe5f+3d+/BVdd3/sdfgXggByIauYSVawbiArIag5eCCrKCWGpwYITCKF4xoh1U2IAEd3F3C6gUBMYLFBUUB0QWS0IpiBRFN4JMECq34TIRlAhpIBEDJ4DZfH9/fH+ly4YKqcn3803ez8fMZ0aPubxpn34mfffkHEvoHZbQOyyhd1hC7z4WhwAAAAAAAACqYHEYQmvXrnU9AhAIWocl9A5L6B2W0DssoXdYQu8+FochFB8f73oEIBC0DkvoHZbQOyyhd1hC77CE3n0sDkOob9++rkcAAkHrsITeYQm9wxJ6hyX0Dkvo3cfiEAAAAAAAAEAVcZI810NcrGg0qtzcXGVkZCgWi7kep9YkJiaqrKzM9RhAraN1WELvsITeYQm9wxJ6hyX1uffq7Nd4xmEIDRkyxPUIQCBoHZbQOyyhd1hC77CE3mEJvftYHIbQlVde6XoEIBC0DkvoHZbQOyyhd1hC77CE3n0sDkPo8OHDrkcAAkHrsITeYQm9wxJ6hyX0Dkvo3cdrHIZQ06ZNdeLECddjALWO1mEJvcMSeocl9A5L6B2W1OfeeY3DOu7JJ590PQIQCFqHJfQOS+gdltA7LKF3WELvPhaHAAAAAAAAAKpgcRhCH3/8sesRgEDQOiyhd1hC77CE3mEJvcMSevexOAyh06dPux4BCAStwxJ6hyX0DkvoHZbQOyyhdx+LwxC64447XI8ABILWYQm9wxJ6hyX0DkvoHZbQu4/FIQAAAAAAAIAq4iR5roe4WNV5u+i67IorrtCxY8dcjwHUOlqHJfQOS+gdltA7LKF3WFKfe6/Ofo1nHIbQgAEDXI8ABILWYQm9wxJ6hyX0DkvoHZbQu4/FYQh16NDB9QhAIGgdltA7LKF3WELvsITeYQm9+1gchtDRo0ddjwAEgtZhCb3DEnqHJfQOS+gdltC7j9c4DKFIJKIzZ864HgOodbQOS+gdltA7LKF3WELvsKQ+985rHNZxWVlZrkcAAkHrsITeYQm9wxJ6hyX0Dkvo3ed8cfjzn/9cmzZtUiwWU3FxsZYvX+56JAAAAAAAAMC8eJfffPDgwZo/f76ys7O1fv16xcXFqXv37i5HCoW8vDzXIwCBoHVYQu+whN5hCb3DEnqHJfTuc7Y4bNiwoWbPnq2srCy9+eabZx/fu3evq5FCo6SkxPUIQCBoHZbQOyyhd1hC77CE3mEJvfuc/aryddddpzZt2qiyslJffPGFvv32W/3hD39Q165dL/i5TZs2VWJi4tkTiUQCmDg4d911l+sRgEDQOiyhd1hC77CE3mEJvcMSevc5e8ZhSkqKJOm5557T2LFjdeDAAY0bN04bNmxQamqqSktL/+bnFhYWKj7+r6OvX79eCxcu1KpVqzR69GhJ0tq1axUfH6++fftKkubMmaMhQ4boyiuv1OHDh/Xee+/pySeflCR9/PHHOn36tO644w5J0ty5czVgwAB16NBBR48e1YIFC86+KGZeXp5KSkrOBvTGG2/o1ltvVefOnXX8+HG9+uqrmjhxoiRp8+bNOnTokAYPHixJevvtt9WjRw917dpV5eXlmjlzpiZOnKgGDRpo69at2rt3r4YNG6bU1FSlpKSoS5cuuvbaa1VRUaEXXnhB48aNU+PGjbVz505t3bpV9957ryRp+fLlat++vXr06CFJmjJlisaMGaPExETt2bNHeXl5euihhyRJOTk5atGihXr27ClJevHFF/XII48oKSlJBQUF+vDDD5WZmSlJWr16taLRqHr37i1JeumllzRixAi1atVKhw4dUk5Ojp544glJ0rp16yRJt99+uyTplVde0aBBg9SmTRsVFRVp8eLFevrppyVJGzZsUCwW05133ilJmjdvnvr166eUlBSVlJTo9ddf1/jx4yVJn332mYqLizVo0CBJ0ptvvqlevXrpqquuUllZmebMmaNJkyZJkvLz83Xw4EENGTJEkvTOO+8oLS1N3bp106lTpzRjxgxNmDBB8fHx2rZtm3bv3q3hw4dLkpYuXarU1FSlpaWpsrJS06ZN09ixY5WQkKBdu3YpPz9fI0eOlCS9//77atOmjW644QZJ0rRp0/T444+rWbNm2rdvnz755BM9/PDDkqSVK1cqKSlJvXr1kiRNnz5dDz74oJo3b64DBw5ozZo1euyxxyRJH3zwgRo1aqQ+ffpIkmbPnq2hQ4eqdevWKiws1PLlyzVmzJizzVdUVKh///6SpNdee00DBw5Uu3btVFxcrEWLFmns2LGSpE8//VTff/+9Bg4cKEmaP3++brvtNnXq1EmlpaWaN2+ennnmGUnSpk2bdOTIEd19992SpIULF+rGG29Uly5ddPLkSc2aNUvZ2dmKi4vTli1bVFBQoHvuuUeStHjxYnXv3l3du3fXmTNnNH36dGVlZSkSiWj79u3avn27RowYIUlatmyZUlJSlJqaquzsbE2dOlVPPfWUmjRpot27d+vzzz/XAw88IElasWKFkpOTddNNN0mSnn/+eWVmZuryyy/X/v379dFHH2nUqFGSpFWrVunSSy/VLbfcIkmaOXOm7rvvPrVo0UJff/11vbkjJGnJkiXcEapbd0RqaqqGDh3KHVGNOyI9PV2e53FH1ME7IjU1Vddddx13BD9HmLgjUlNTlZiYyB1RjTtC4ueIunpHtG/fXgkJCdwR4ucIC3dE8+bNdfXVV9fLO6KwsFDV4dXkmTx5snch6enp3vDhwz3P87xRo0ad/dxIJOL9+c9/9h599NHzfu1oNOqtW7fOa9mypZeYmHj2RCKRGv0zuD7JycnOZ+Bwgji0zrF06J1j6dA7x9Khd46lQ+8cS6c+9/6X/Vo0Gr3gx9b4ryq//PLL+sd//McfPTt27NDhw4clSbt27Tr7uWfOnFFBQYHatWv3o9/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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Evaluate net over denser input (try both eval() and train() modes)\n",
    "\n",
    "net.eval()\n",
    "# net.train()\n",
    "\n",
    "with torch.no_grad():\n",
    "    plt.plot(xx.numpy(), net(xx.view(-1, 1)).squeeze().numpy(), 'C1')\n",
    "plt.plot(x.numpy(), y.numpy(), 'oC0')\n",
    "plt.axis('equal')\n",
    "plt.ylim([-10, 5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Multiple (100) runs for denser input\n",
    "net.train()\n",
    "y_hat = list()\n",
    "with torch.no_grad():\n",
    "    for t in range(100):\n",
    "        y_hat.append(net(xx.view(-1, 1)).squeeze())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Evaluate mean and std over denser input\n",
    "y_hat = torch.stack(y_hat)\n",
    "mean = y_hat.mean(0)\n",
    "std = y_hat.std(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-10.0, 5.0)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualise mean and mean ± std -> confidence range\n",
    "plt.plot(xx.numpy(), mean.numpy(), 'C1')\n",
    "plt.fill_between(xx.numpy(), (mean + std).numpy(), (mean - std).numpy(), color='C2')\n",
    "plt.plot(x.numpy(), y.numpy(), 'oC0')\n",
    "plt.axis('equal')\n",
    "plt.ylim([-10, 5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.13"
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}