plots.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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z/vx5t3pt2rQxktzCyOnTp02hQoWMw+FwuQzo2WefzXRnNzMX+6Ht3r27kWQd7c5o5cqVRpKpU6eOy3BneOjatatbnUOHDlnzHT16tFv5mjVrrB3hnHLuYGc8KuxcNp5+eKdPn259Fp4+h4zWr19vnQ3J7FKyjC41TBUuXDhHR9PTa9SokZFk/vjjD2tYcnKydQYt4w5AZpyfdYUKFdx27p07dT179sx2u5wB107nK2fOnLGOLn/++edu5adOnbJues941N753Ut/eazTJ598YpUvWLDArfyFF15wO9JsjGuY8tRJxsaNG43D4TBeXl5mz5492X6fnj47Yy7siFWsWDHT72xmO5tVq1Y1krLdEYDzCHrGS1eNSQtUN910k5FknnrqKZcyZ3gYOXKkx+k6P//0l/xebm+99ZYJDw932w4HBASYzp07e7yv0nnG4bXXXsvWPF577TUjpZ2xS+9SwtSmTZuMJOPn5+fS+cU///xjvL29jcPhMH///bdbvZyEqbNnz1rjzp0796LjO+UkTDnPSg4ZMiTb0x8/frzH9fVS75lyHnirV6+ey3Dn7252Lz22+xtJmEJO8ZwpXNcqVaqkX3/9VStWrNDEiRMVGxurIkWKSJLWr1+vIUOGqFWrVjp37pxLPWdX3jNmzHAZ/v777+vIkSNq0aKFKlWqZA2vV6+eJOnZZ5/V//73Px0+fPiS2p2amqqFCxdKkrp37+5xnLp16yo4OFjr1q3T2bNn3crbtGnjNqxw4cIKDw/PtLxChQqSpH/++SdH7T1//rzmzJkjSRowYIBLWZ8+feTj46OffvpJ27dvdylbtGiRJGngwIHy9va+6Hyc47dt21YlSpTIURvtatGihcLCwrIcZ9u2bZoxY4YefPBBDRw4UP369VO/fv20f/9+SdKWLVuscdesWaPExERFRESoU6dO2WpDvXr11KhRI23dulVff/21NTw1NVWvvfaaJGnYsGE5fWu2rF69WidPnlThwoV1xx13uJUXKFBAPXr0kCT98MMPHqeR1XfPx8dHt99+e6blmX03a9SooZo1a7oNr169umrVqqXU1FT99NNPbuU5+ezS69ixY7a+s+k5HxnQu3dv/fLLLzp//nym4+7du9daX5xda6fncDjUv39/SZkvZ0+fj5TWBb4k7du3L/uNv0QDBgzQ7t27NXfuXN13332qW7eu/Pz8dPbsWX3yySdq1KiR3nzzzUuah/n3MRMpKSm50WRJstrUoUMHa9spScWKFVPr1q1ljNHbb799SfNITU21/nZ2d57bnPPwNP1Dhw7pf//7n8aMGaNBgwZZ68CPP/4oKfN14GJSUlK0ePFiPfHEExo6dKj69++vfv366amnnvI4Xef6MWTIEH399dcef9fSv59L/Y0EsssnrxsA5Af169e3NtTGGK1bt07PPfec4uLi9N133+mll17S6NGjrfFbtmypKlWqaMWKFVqzZo3q1KkjSZo5c6Yk9x3XmJgYjR07Vs8995z69u0rh8OhChUqqEmTJurQoYPuuOMOeXll/9jGoUOHdPz4cUlSdHR0tsbPGC5KlSrlcdzg4GAdOnTIY3lISIgkKSkpKdttlaQFCxYoISFBJUqUUGxsrEtZZGSk2rRpo88//1xvv/229UMqSbt27ZIkVa5cOVvzyen4uaFMmTKZlqWkpGjYsGH673//m+XzwpyfpXThPVSqVClHO04PPPCAli9frhkzZqhVq1aSpC+//FK7du1SrVq11Lhx42xPq0iRItq8ebOtB4Y6d8DLli2b6TjlypVzGTcjT9+94OBgSWk7qT4+7j9dzu9mZjtFWbWnbNmyWrt2rfbu3WsNs/PZpZfV9yIzU6dO1caNG7Vw4UItXLhQgYGBql27tmJiYtS7d28r5EgXll14eLhCQ0M9Ts/OcpZkTS+7O5iffvqpPv30U7fh99xzj5o2bZqtaUhpQbtbt27q1q2bpLRnIi1cuFCPPPKItm7dqvvvv1+tWrVSyZIlJUkRERHau3evFWwvxvl9dh4wu1TJycl65513JLkfJHIO+/LLLzVnzhxNmTIlR9v49NI/57Bw4cL2GpvNeWSc/htvvKGHHnpIp06dyrRuZutAVrZu3apOnTpl+SDmjNMdPXq0fvnlF3333Xdq1aqVfH19VaNGDd1yyy3q0aOHddBSyp3fSCC7CFNABg6HQ7Vr19YHH3yg06dP6/PPP9enn37qEqYcDoeGDx+uoUOHasaMGZo1a5aWL1+udevWqUyZMmrXrp3bdP/zn//ovvvu0xdffKFffvlFS5cu1axZszRr1izVq1dPP/zwg4KCgrLVxvRHKj0dlc7I39/fbdjFftjt/vB78tZbb0lK2zlr1qyZW7lzZ2/27Nl6/PHHc3xE/3JKv6w9CQwMzLTspZde0muvvaaoqChNmzZNjRs3VmRkpAICAiRJvXr10gcffJArD2bu0qWLHn74YS1cuFA7duxQ2bJlMw33F1OnTh39/PPPWrVq1SW3y46svnu5+b3MKP3ncKmfXVbfi8xERUVp9erV+vHHH/Xdd99p6dKlWrFihZYuXaqnn35aU6dO1dixY+29OQ9ya1muX7/eOvOcXkxMTI7CVEZBQUHq0qWLGjVqpIoVK+r06dNauHChBg0aJCnte7p3716tWLEiW9NbuXKlJKlWrVo5akdm24AvvvjCCmiPP/64nnzySZdy55nFPXv26JtvvrEOcuTU2rVrrb+rV69uaxpZOXLkiHbs2OE2/TVr1mjw4MHy9vbWM888ozvuuEOlSpVSgQIF5HA49Prrr2vw4MG2tl9dunTRH3/8oXbt2mnMmDGqWrWqQkND5evrq3Pnznn8zSpQoIC+/fZbrVq1SosWLdKyZcu0bNkyrV69WtOmTdPQoUOtbV5u/EYC2UWYArJw++236/PPP3c5MujUp08fPfLII4qLi9Pzzz9vXfI3ZMiQTHdSypQpo+HDh2v48OGSpFWrVumuu+7SqlWr9Oyzz2rKlCnZaldERIQCAwN15swZPf/884qIiLD5Di+/+Ph4ffXVV5LSjv4tXbo003H/+ecfLVq0SG3btpWUduR806ZN2rx5s1q0aHHReTmPtG/evDnb7fPz85MknThxwmO580yRHR9++KEk6b///a/at2/vVr5161a3Yc738Ndff8kYk+2zUz4+PhoyZIgmTJigV155RYMGDdK3336rwoULq2fPnjlqd4cOHTR9+nT99ttvWrduXY52Pp1Hd507Z578/fffLuNeCVm1Z+fOnZJknfGQ7H12ucHhcCgmJkYxMTGS0g5AzJ49W/fff78eeeQRdenSReXKlbOWnfMIvKezU1dqOU+ePFmTJ0++bNMvUaKEqlatqtWrV7tsizt06KDPPvtM3377reLj41WsWLFMp5GQkKBvvvlGktwun7W7DXAeJJKk5cuXZ/ke3nrrLdth6t1335WUdqlq0aJFbU0jK++//76MMfL19VXz5s2t4R999JGMMRo+fLjGjBnjVs/uOrB582Zt3LhRRYsW1fz5893ONF9suvXq1bPOQp0/f16ffvqp+vTpo1deeUVdunRR8+bNr6rfSFz9uGcK163sHE3bvXu3JNedLKegoCANHDhQZ8+e1dNPP6158+YpICBAAwcOzHYb6tWrp6FDh0pKO7qbnq+vryR5vG/C29tbLVu2lHRhpy+/mj17tlJSUtSgQQOZtE5vPL6cP9bpd1CcOx9vv/12tu5zcI7/1VdfZfu+LueO5qZNm9zKTp8+nen9JtnhvDeudOnSbmV//PGH22cupV3HHxERocTERI+XTmVl8ODBCggI0Ntvv60XXnhBxhgNHDgwx2dJYmJi1KRJE0lpBwcudlnn9u3bFR8fb7U/ODhYhw8f1ueff+427pkzZxQXFydJLjtul9vGjRu1ceNGt+F//PGH1q5dKy8vL91yyy3WcDuf3eUQEBCg++67TzfddJNSU1Ot91CyZEnrMr7Zs2e71TPGWMOv5HK242Lb4pSUFOvsdfptce/evVW6dGklJydr2LBhmU7HGKMHHnhAycnJuuGGG9S7d2+X8qy2AQkJCS5nhpz27t1r3Z+4adOmTLdrf/75pyRlelDuYhYsWKCPP/5YkjwGmku1e/duKwj369fP5RLIrNaBs2fPWu3KyBlOM7vnzznd4sWLe7xk1xkes8PHx0ddunSxLh93rpeX8ht5sfYDGRGmcN165ZVX1LdvXy1btsytzBijTz75xDrb5LxhPqNhw4bJy8tL06ZN07lz59SzZ0+Xm5Cd5s+fr59++sntcpHk5GSr04SMP1jOnYbMrimfNGmS/Pz8NHr0aM2ZM8fjpSi///67PvnkE4/1rxTnzdcXu9SiT58+ktLu80lMTJSUds9FyZIltW7dOg0aNMjtuv3jx4/ru+++s/5fs2ZNdejQQWfOnFGHDh2sMOx0/vx5tx185xmvmTNnutxbcurUKd17773as2dPTt6uC+c9LjNnznT5fOLj49WnTx+PP9Y+Pj569NFHJUn33nuvx04RVq1a5XJ/j1NERIR69eqlw4cP6/XXX5eXl5cV1nPq3XffVUREhFasWKFbb71Vv/32m9s4p06d0rRp01SnTh3rvpWAgADdf//9kqRRo0a5HNVPTk7WiBEjlJCQoLJly6pLly622maHMUZDhgzRkSNHrGHHjh3TkCFDZIzRnXfe6XJvhZ3P7lI9//zzbt9ZKe1IvvNoffrtxMMPPyxJeuKJJ7RhwwZruDFGTz75pNavX6+CBQtal8XlV+3atdMzzzzj8QDI0aNHNWTIEMXHxys0NFStW7e2yvz8/PTBBx/Iz89Pn3zyiXr37q1Dhw651D9y5Ij69u2rjz76SCEhIfrss8+snWUn5zbgmWee0dGjR63hiYmJ6tOnj06ePOnWLudBovr162d5j2aVKlVUt25dnTt3Lkch4ejRo3rqqafUuXNnGWPUq1evHJ9hzsr58+f1wQcfqEGDBjp48KCqVq2qZ5991q3tkjRnzhyXs3Znz57V0KFDMz3b6/zt2rp1q5KTk93KK1asKG9vb/32229asmSJS9kXX3yhF1980eN0X3nlFY+dXSQkJGj16tWSXNcPu7+RF/vtBdxc3s4CgfzrxRdftLqOLVKkiLn99ttNr169TJs2bUyZMmWssrvuusvjs2KcnA+OlOTxQaTGGDNixAijf58H07JlS9O7d2/Tvn1762GjJUqUcOuW+eGHH7bqdOvWzQwcONAMHDjQpfvdDz/80BQoUMBIMiVLljS333676d27t2ndurUpWbKkkWS6d+/uMt2LdQV+sW6Cne81O5YsWWKktAcBZ6e7Z+fDINN3Zbt27VrrwcYFCxY0bdu2Nd27dzeNGzf2+NDew4cPW938+vn5mZiYGNOrVy9z6623enxo77lz50zdunWN/n3GTdu2bU3r1q1NkSJFTIkSJcyAAQOy7Bo94/D0fv31V+Pn52ckmfLly5tu3bqZVq1amcDAQFOtWjXTqVMnj13wpqammvvuu89a1rVq1TI9evQwbdq0cXtob0bO7uElmTvuuONiizxLW7dutbrXlmSqVq1qOnfubHr06GFuvvlm4+/vb6S0h3Pu2rXLqnf27FnrQayBgYHWg5adD98NDw83q1evdptfVt+tHTt2GMn9GUFOmXXHnP6hvTfccIMpWLCg6dSpk+ncubMpXLiw1aX8/v37XerZ/eyy061yZm0NCwsz0oWHi/bq1cvExMQYHx8fI6U9ay291NRUc/fddxsp7aG9t912m+nZs6epVKmStey/+uort/lf6nOVcluNGjWMlPbsuypVqpiOHTtaDzV3Plw1MDDQ7RlxTj/++KO1LQ0ICDC33Xab6dWrl2nRooXVfXr58uXNzz//7LH+kSNHrGVStGhR06FDB9OiRQsTFhZmqlevbm3jncsjNTXVWg89deOfkfO5cTfeeKM1LH3X6M6Hwvbp08d07tzZ1K1b13p4s6+vr5k4caLb8wmzwzn92NhYax7dunUzzZo1MyEhIVZ5ly5dPD5bMf1yCQ8PNx07djR33nmnKVq0qAkJCbF+1/r27etW17lNrVSpkundu7cZOHCgGTt2rFXurOvl5WU9WN25/Z8wYYLHbYHze1K2bFlzxx13mN69e5vbb7/dBAYGGintmV7Jyckudez8Rm7YsMF4eXkZLy8v06JFC9O/f38zcOBA89lnn+X4M8D1gTCF69bx48fNp59+aoYPH27q169vSpYsaXx9fU1gYKApV66c6dmzp1m4cOFFp+N8cGajRo0yHWfdunVm3LhxpmnTpqZEiRLGz8/PFClSxNSpU8c8/fTTLgHJ6cyZM2bMmDGmfPny1k6dpx2gHTt2mIceesjceOONJigoyAQEBJjSpUubmJgY85///Mds27bNZfwrGaacO3pdunTJ1vjO50pVqVLFZXhiYqKZMGGCqV69ugkKCjKBgYHmhhtuMN27dzeLFi1ym05SUpJ59dVXzc0332wKFixo/Pz8TMmSJU3Lli097vwcOXLEDBs2zPoOlChRwtx7771m//79F33OVFZhypi05xi1b9/eFCtWzAQEBJgKFSqYMWPGmOPHj190p3XhwoWmQ4cOJjIy0vj6+poiRYqY+vXrmylTprg8fDYjZ/j8+uuvs2xbdqSkpJi5c+eabt26mdKlS5vAwEDj7+9vSpYsadq1a2feeOMNc+rUKbd6ycnJ5pVXXjENGzY0ISEhxs/Pz5QrV84MHz4802eAXc4w1bdvX3PgwAEzePBgU7JkSePn52eio6PNAw88kOmytPPZXUqYevfdd03//v3NjTfeaAoXLmz8/f1N6dKlTevWrc38+fPdniHm9P7775uYmBhTsGBB4+vra6Kjo02/fv1cnnWXXn4LU9u2bTOvvvqq6dq1q6lWrZoJDw833t7eJiwszNSpU8eMGTPG5SHNnpw4ccI899xz5uabbzYRERHGy8vL+j7ddNNNmT5U22nv3r2mT58+pmjRosbPz8+ULVvWjB492pw4ccJteSxevNg6WJPVeuiUmJhohaMVK1YYY1zDlPPl7e1tChYsaMqXL286d+5sXnzxxSwfIH8xGafvcDhMSEiIiY6ONrfffruZMGGC+fPPPy/a9qFDh5py5coZf39/U7x4cXPXXXeZrVu3uqxbGe3atcv06tXLFCtWzDoYkH7dTU1NNW+99ZapU6eOCQ4ONmFhYaZp06YmLi7Ope3pffnll2bIkCGmVq1apkiRItZ2PSYmxsyZMyfTwJnT30hj0h4k3aRJExMSEmIcDke2tvW4fjmMyYVupIDrWNOmTbV06VK9//77uXoZBmDHd999p5YtW6pSpUratGnTZXsuzdVi9uzZ6t+/v/r27evx3iJcuzZs2KCYmBgdPXpUkyZNuqydZAC4fnHPFHAJFi5cqKVLl6pUqVJX9P4PwJOUlBRNmjRJkjRy5MjrPkjh+lajRg0tXLhQwcHBmjJlip577rm8bhKAaxBdowM5dOjQIY0dO1ZHjhyxuvx+9tlnrd73gCtt1qxZ+umnn7R69Wr9/vvvql69useHiALXm4YNG+rrr7/WN998o9OnT2v//v2KjIzM62YBuIYQpoAcOnHihN566y35+Pjohhtu0KhRo9S9e/e8bhauYz/++KPmzJmjggULqlOnTpo+fbrHLoeB61Hjxo3VuHHjvG4GgGtUvrtn6qefftJzzz2nNWvWKD4+XvPnz1fHjh2zrLNkyRKNHDlSf/zxh6KjozVhwgT169fvirQXAAAAwPUp390zderUKdWoUUMzZ87M1vg7duxQ27Zt1bx5c61fv14PPvig7rnnHuthegAAAABwOeS7M1PpORyOi56ZGjt2rBYsWKDff//dGtajRw8dPXrUehgqAAAAAOS2q/6i+uXLl1tPL3eKjY3Vgw8+mGmdpKQkJSUlWf9PTU3V4cOHFR4eTu9XAAAAwHXMGKMTJ06oePHi8vLK+kK+qz5MJSQkuPXMExkZqePHj+vMmTMKDAx0qzN16lRNmTLlSjURAAAAwFVmz549KlmyZJbjXPVhyo7x48dr5MiR1v+PHTumUqVKac+ePQoNDc3DlgEAAADIS8ePH1d0dLRCQkIuOu5VH6aioqK0f/9+l2H79+9XaGiox7NSkuTv7y9/f3+34aGhoYQpAAAAANm6/Sff9eaXU40aNdLixYtdhn377bdq1KhRHrUIAAAAwPUg34WpkydPav369Vq/fr2ktK7P169fr927d0tKu0SvT58+1vj33Xef/v77b40ZM0abN2/WK6+8og8//FAPPfRQXjQfAAAAwHUi34Wp1atXq1atWqpVq5YkaeTIkapVq5YmTpwoSYqPj7eClSSVLVtWCxYs0LfffqsaNWrohRde0JtvvqnY2Ng8aT8AAACA60O+fs7UlXL8+HGFhYXp2LFj3DMFAABwFUtJSVFycnJeNwP5nK+vr7y9vT2W5SQbXPUdUAAAAABS2u0ie/fuFecKcDEOh0MlS5ZUcHDwJU2HMAUAAICrXkpKivbu3asCBQqoSJEi2eqJDdcnY4wSExO1d+9eVahQIdMzVNlBmAIAAMBVLzk5WcYYFSlSJNPH4wBORYoU0c6dO5WcnHxJYSrfdUABAAAA2MUZKWRHbn1PCFMAAAAAYANhCgAAAABsIEwBAAAA17kyZcpo+vTp1v8dDoc+/fTTPGvP1YIwBQAAAOSRfv36yeFwWK/w8HC1atVKGzduzNN2xcfHq3Xr1pd1HrNnz1bBggUzLe/Xr586duyYaXmZMmXkcDgUFxfnVlatWjU5HA7Nnj370huaBcIUAAAAkIdatWql+Ph4xcfHa/HixfLx8VG7du3ytE1RUVHy9/fP0zZkR3R0tGbNmuUy7Ndff1VCQoKCgoIu+/wJUwAAAEAe8vf3V1RUlKKiolSzZk2NGzdOe/bsUWJiojXO2LFjVbFiRRUoUEA33HCDHnvsMSUnJ1vlGzZsUPPmzRUSEqLQ0FDVqVNHq1evtsp/+eUX3XzzzQoMDFR0dLQeeOABnTp1KtM2pb/Mb+fOnXI4HPrkk0/UvHlzFShQQDVq1NDy5ctd6uR0Hrmhd+/e+vHHH7Vnzx5r2Ntvv63evXvLx+fyPwWKMAUAAIBr17RpUsmSaa8lS1zLduy4UDZ8uHvd9u0vlGc0e/aFsk8+ybXmnjx5Uu+++67Kly+v8PBwa3hISIhmz56tP//8Uy+99JLeeOMNvfjii1Z57969VbJkSa1atUpr1qzRuHHj5OvrK0navn27WrVqpTvvvFMbN27U3Llz9csvv2jYsGE5atujjz6qhx9+WOvXr1fFihXVs2dPnT9/PlfnkVORkZGKjY3VnDlzJEmnT5/W3LlzNWDAgMs6Xyce2gsAAIBr1/Hj0r59aX8nJbmWpaRcKDtyxL1uYuKF8oxOnbpQdvr0JTXxyy+/VHBw8L+TPaVixYrpyy+/lJfXhfMeEyZMsP4uU6aMHn74YcXFxWnMmDGSpN27d2v06NGqXLmyJKlChQrW+FOnTlXv3r314IMPWmUvv/yymjVrpldffVUBAQHZaufDDz+stm3bSpKmTJmiatWqadu2bapcuXKuzcOOAQMGaNSoUXr00Uc1b948lStXTjVr1rxs80uPM1MAAAC4doWGSiVKpL0y3gPk7X2hrFAh97pFilwozygo6EJZgQKX1MTmzZtr/fr1Wr9+vVauXKnY2Fi1bt1au3btssaZO3eumjRpoqioKAUHB2vChAnavXu3VT5y5Ejdc889atGihf7zn/9o+/btVtmGDRs0e/ZsBQcHW6/Y2FilpqZqx44d2W7nTTfdZP1drFgxSdKBAwdydR52tG3bVidPntRPP/2kt99++4qdlZI4MwUAAIBr2ciRaS9PypaV9u7NvO7nn2de1q9f2isXBAUFqXz58tb/33zzTYWFhemNN97Qk08+qeXLl6t3796aMmWKYmNjFRYWpri4OL3wwgtWncmTJ6tXr15asGCBFi5cqEmTJikuLk6dOnXSyZMnNXjwYD3wwANu8y5VqlS22+m8bFBKu6dKklJTUyUp1+Zhh4+Pj+6++25NmjRJK1as0Pz58y/r/FzmfcXmBAAAAOCiHA6HvLy8dObMGUnSsmXLVLp0aT366KPWOOnPWjlVrFhRFStW1EMPPaSePXtq1qxZ6tSpk2rXrq0///zTJbDltisxj6wMGDBAzz//vLp3765Cns4yXiaEKQAAACAPJSUlKSEhQZJ05MgRzZgxQydPntQdd9whKe3+o927dysuLk716tXTggULXM6+nDlzRqNHj1aXLl1UtmxZ7d27V6tWrdKdd94pKa0nwIYNG2rYsGG65557FBQUpD///FPffvutZsyYkSvvwe48UlJStH79epdh/v7+qlKliiTp2LFjbuXh4eGKjo52GValShUdPHhQBS7xksucIkwBAAAAeWjRokXWPUghISGqXLmyPvroI8XExEiS2rdvr4ceekjDhg1TUlKS2rZtq8cee0yTJ0+WJHl7e+vQoUPq06eP9u/fr4iICHXu3FlTpkyRlHav048//qhHH31UN998s4wxKleunLp3755r78HuPE6ePKlatWq5DCtXrpy2bdsmSVqyZIlb+cCBA/Xmm2+6TSt974dXisMYY674XPOZ48ePKywsTMeOHVNoaGheNwcAAAA5dPbsWe3YsUNly5a9rD3H4dqQ1fclJ9mA3vwAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAA1wz6VkN25Nb3hDAFAACAq563t7ck6dy5c3ncElwNnN8T5/fGLp4zBQAAgKuej4+PChQooMTERPn6+srLi3MG8Cw1NVWJiYkqUKCAfHwuLQ4RpgAAAHDVczgcKlasmHbs2KFdu3bldXOQz3l5ealUqVJyOByXNB3CFAAAAK4Jfn5+qlChApf64aL8/Pxy5ewlYQoAAADXDC8vLwUEBOR1M3Cd4GJSAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAb8mWYmjlzpsqUKaOAgAA1aNBAK1euzHL86dOnq1KlSgoMDFR0dLQeeughnT179gq1FgAAAMD1KN+Fqblz52rkyJGaNGmS1q5dqxo1aig2NlYHDhzwOP7777+vcePGadKkSdq0aZPeeustzZ07V4888sgVbjkAAACA60m+C1PTpk3ToEGD1L9/f1WtWlWvvfaaChQooLffftvj+MuWLVOTJk3Uq1cvlSlTRrfffrt69ux50bNZAAAAAHAp8lWYOnfunNasWaMWLVpYw7y8vNSiRQstX77cY53GjRtrzZo1Vnj6+++/9dVXX6lNmzaZzicpKUnHjx93eQEAAABATvjkdQPSO3jwoFJSUhQZGekyPDIyUps3b/ZYp1evXjp48KCaNm0qY4zOnz+v++67L8vL/KZOnaopU6bkatsBAAAAXF/y1ZkpO5YsWaKnn35ar7zyitauXatPPvlECxYs0BNPPJFpnfHjx+vYsWPWa8+ePVewxQAAAACuBfnqzFRERIS8vb21f/9+l+H79+9XVFSUxzqPPfaY7r77bt1zzz2SpOrVq+vUqVO699579eijj8rLyz0v+vv7y9/fP/ffAAAAAIDrRr46M+Xn56c6depo8eLF1rDU1FQtXrxYjRo18ljn9OnTboHJ29tbkmSMuXyNBQAAAHBdy1dnpiRp5MiR6tu3r+rWrav69etr+vTpOnXqlPr37y9J6tOnj0qUKKGpU6dKku644w5NmzZNtWrVUoMGDbRt2zY99thjuuOOO6xQBQAAAAC5Ld+Fqe7duysxMVETJ05UQkKCatasqUWLFlmdUuzevdvlTNSECRPkcDg0YcIE7du3T0WKFNEdd9yhp556Kq/eAgAAAIDrgMNwLZyOHz+usLAwHTt2TKGhoXndHAAAAAB5JCfZIF/dMwUAAAAAVwvCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAafvG4AAADA9cDhyOsWAPmbMXndgpzjzBQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbfPK6AQBwPXM48roFQP5mTF63AAAyx5kpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAb8mWYmjlzpsqUKaOAgAA1aNBAK1euzHL8o0eP6v7771exYsXk7++vihUr6quvvrpCrQUAAABwPcp3XaPPnTtXI0eO1GuvvaYGDRpo+vTpio2N1ZYtW1S0aFG38c+dO6eWLVuqaNGimjdvnkqUKKFdu3apYMGCV77xAAAAAK4bDmPy1xMcGjRooHr16mnGjBmSpNTUVEVHR2v48OEaN26c2/ivvfaannvuOW3evFm+vr625nn8+HGFhYXp2LFjCg0NvaT2A0BO8JwpIGv5ay/l0rC+A1nLL+t7TrKBrcv8brzxRk2bNk0HDhyw1cDMnDt3TmvWrFGLFi2sYV5eXmrRooWWL1/usc7nn3+uRo0a6f7771dkZKRuvPFGPf3000pJScl0PklJSTp+/LjLCwAAAABywlaY+vPPPzV69GhFR0erY8eO+uyzz7IML9l18OBBpaSkKDIy0mV4ZGSkEhISPNb5+++/NW/ePKWkpOirr77SY489phdeeEFPPvlkpvOZOnWqwsLCrFd0dPQltx0AAADA9eWSOqBITk7WF198oc6dO6tEiRIaPXq0/vzzz9xqW7akpqaqaNGiev3111WnTh11795djz76qF577bVM64wfP17Hjh2zXnv27LmCLQYAAABwLbAVpkaNGqVSpUpJkowxMsYoMTFR06ZNU/Xq1dWgQQP997//zfHlcxEREfL29tb+/ftdhu/fv19RUVEe6xQrVkwVK1aUt7e3NaxKlSpKSEjQuXPnPNbx9/dXaGioywsAAAAAcsJWmHruuee0Y8cOrVixQqNGjVLp0qWtUGWM0apVqzR06FAVK1ZMd911V6b3O2Xk5+enOnXqaPHixdaw1NRULV68WI0aNfJYp0mTJtq2bZtSU1OtYX/99ZeKFSsmPz8/O28PAAAAAC7qki7zq1evnhWsfv31Vz300EMKCAiQw+GQMUZnzpzRBx98oKZNm6pnz55KSkq66DRHjhypN954Q3PmzNGmTZs0ZMgQnTp1Sv3795ck9enTR+PHj7fGHzJkiA4fPqwRI0bor7/+0oIFC/T000/r/vvvv5S3BgAAAABZypXnTCUkJGjx4sX6/PPPrcDkDFTOntc//PBD3XDDDXrqqaeynFb37t2VmJioiRMnKiEhQTVr1tSiRYusTil2794tL68LGTA6Olpff/21HnroId10000qUaKERowYobFjx+bGWwMAAAAAj2w/Z8oYowULFujNN9/UV1995dKbnzFGAQEB6tWrlypUqKDnn39ehw4dUunSpbVjx45ca3xu4TlTAPIKz50BspZfnjuTG1jfgazll/U9J9nA1pmpCRMmaM6cOfrnn38kSenzWKlSpTRkyBANGjRIhQsXliRFRUWpf//+2rt3r53ZAQAAAEC+YytMPf3009ZlfE4xMTEaPny4OnTo4HIZniSVLl1aklw6iQAAAACAq5nte6aMMSpQoIB69+6t4cOH68Ybb8x03CpVqmjWrFl2ZwUAAAAA+Y6tMFW2bFkNHTpUAwcOVMGCBS86fmRkpPr27WtnVgAAAACQL9kKU9u2bZODuygBAAAAXMdshamdO3fqt99+kyQ1btxYERERVlliYqL1kN4bb7xRN9xwQy40EwAAAADyF1th6oknntCcOXMUHh6uXbt2uZSFhIRoyJAhSkhIUJ8+fbhXCgAAAMA1yevio7hbunSpJOmOO+5QYGCgS1lAQIDatWsnY4x++eWXS28hAAAAAORDtsKU8/lSZcuW9VgeHR0tSUpISLDZLAAAAADI32yFKefzojJe4ufkHM5zpQAAAABcq2yFqeLFi8sYo7i4OG3fvt2lbPv27YqLi5PD4VDx4sVzpZEAAAAAkN/Y6oDi5ptv1vbt23Xq1CnVqlVLffr0UdmyZbVjxw698847OnXqlBwOh26++ebcbi8AAAAA5AsOY4zJaaXVq1erQYMGkiRjjMszp5yT8/Ly0q+//qq6devmUlMvn+PHjyssLEzHjh1TaGhoXjcHwHWER/YBWcv5Xkr+xfoOZC2/rO85yQa2LvOrW7euJk2a5Bak0ps0adJVEaQAAAAAwA5bYUqSJk6cqLlz56pWrVqSLpyRql27tj788EM99thjudNCAAAAAMiHbF3ml9GZM2d05MgRFSpUyO25U1cDLvMDkFe47AfIWn657Cc3sL4DWcsv63tOsoGtDigyCgwMvCpDFAAAAADYdUlhKj4+Xt9//7327t2rpKQkj+NMnDjxUmYBAAAAAPmS7cv8nnzyST3xxBM6f/58luOlpKTYatiVxGV+APIKl/0AWcsvl/3kBtZ3IGv5ZX2/7Jf5ffnll5mecXI4HFZnFJn19AcAAAAAVztbvfm9/vrr1t8FChSQlBacihQpYnWXXqJECZUqVSp3WgkAAAAA+YytMLV27Vo5HA7deuutmjJlijV8//79+v777xUYGKgqVapo8+bNudZQAAAAAMhPbIWpgwcPSpKaNGnidilfTEyM+vXrp8WLF2vy5MmX3EAAAAAAyI9shSkfn7RbrYKCguTv728NT0hIkCRFRETIGKO4uLhcaCIAAAAA5D+2wlThwoUlpfV0UaRIEWv4mDFj9Nlnn2nWrFmS0rpOBwAAAIBrka0wVaZMGUlSYmKiatWqZQ1/77331LlzZ+3du1eSVLx48UtvIQAAAADkQ7bCVJ06dWSM0erVq1WhQgU1atRIGR9X5XA4NHDgwFxpJAAAAADkN7aeMzVixAi1aNHCunfq/fffV4cOHbRx40ZJkpeXl+69916NHz8+91oKAAAAAPmIw2Q8pXQJ/vrrLx06dEjly5d3uZcqv8vJU44BIDfxbHMga7m3l5L3WN+BrOWX9T0n2SDHZ6ZOnDihZs2aSZIaNGigV1991SqrWLFiTicHAAAAAFelHN8zFRISos2bN2vDhg0qWrTo5WgTAAAAAOR7tjqgqFy5siTp9OnTudoYAAAAALha2ApT999/v4wx+vjjj3XixIncbhMAAAAA5Hu2evOrUKGCbr75Zv3888+qVauW7r//flWuXFlBQUFu495yyy2X3EgAAAAAyG9s9ebn5eUlh8NhPVvKkUn3NA6HQ+fPn7+0Fl4B9OYHIK/QuxeQtfzSu1duYH0HspZf1vfL2ptfeulDVPpMlj5oAQAAAMC1yHaYyiosEaQAAAAAXOtshakdO3bkdjsAAAAA4KpiK0yVLl06t9sBAAAAAFcVW12jAwAAAMD1ztaZqQEDBmRrPIfDobfeesvOLAAAAAAgX7ukrtGzYoyRw+FQSkqK7cZdKXSNDiCv0FUykLVrqU8r1ncga/llfb9iXaNnzGHOgEVvfgAAAACudbbC1C233OJ2ZiopKUnbt29XYmKiHA6HKlWqpMjIyFxpJAAAAADkN7bC1JIlSzwON8bo9ddf19ChQ5WcnKxPPvnkUtoGAAAAAPlWrvbm53A4NHjwYN166636+++/NXHixNycPAAAAADkG5ela/TAwEAZYzgzBQAAAOCaZStM/fTTT26vH3/8UYsWLdLkyZP11VdfSZIOHz6cq4297CpXlkqWlDJexrhjR9rwkiWl4cPd67Vvf6E8o9mzL5RlDJcnTlwo693bvW7//hfKDx1yLfvyywtlr7/uXveGG9LKWrVyLxs9+kLdLVtcy5Yvv1A2dap73bp108rq1nUvmzr1Qt3ly13Ltmy5UDZ6tHvdVq3Sym64wb3s9dcv1P3yS9eyQ4culPXv7163d+8L5SdOuJZ98smFstmz3es6y9q3dy8bPvxC+Y4drmVLllwomzbNve5NN6WVNW3qXjZlyoW6a9a4lv3224WyRx91r3vrrWlllSu7l82YcaHuN9+4lsXHXygbPNi9bteuF8qTklzL3n//Qtn777uWJSVdKOva1X26gwdfKI+Pdy375psLZTNmuNd1rqu33upe9uijF+r+9ptr2Zo1F8qmTHGv27RpWtlNN7mXTZt2oW4ubiP6arb2qKT2qKQ6yXUbEawTVtm7ct9GvK3+VnlhuW4j2upLq2yQ3LcR23WD9qikFsp9G/GsRlt1K8p1G9FQy62ycXLfRqxSXe1RSa2S+zZinKZadRvKdRtRUVussmflvo1YqFbao5LaLvdtxCC9btVtK9dtRGEdssrelvs24l31tsqD5bqN6KRPrLK+mu1W11n2mdy3ES9ruFVeRq7biGZaYpU9JPdtxAbdpD0qqZ/lvo2YqClW3dpy3UbcqN+ssiflvo1YrFu1RyW1Se7biPs1w6rbUq7biCjFW2WvyX0b8aG6WuV+ct1G9NT7VllPuW4j/JRklX0o923EaxqsPbq2thF7VFIvy30b8ZnaW8siI7YRadhGXHC9bCPydD/C075UJmzdMxUTE5Nl1+jObtHLlStnZ/J5x/lBZNxhTEmR9u1L+/vIEfd6iYkXyjM6depC2enTrmXGXCg7eNClyOGQPtMhtVdaeZGIVKUfo4vO6KN/y0YOPqkXM3x3z2qf/HVOa/cVVZ0MH9UbOqJ7/q1brfJ5/ZmurJmStOTfsqmPHNcjj7jW3aMEldQ+7d0nRWeY7tM6rvH/1o1pnKQf05VV1Xn98W/Zm88f0aDnXeuu0QHV1j4lyU8BGab7kE5q2r91u95xRvPSlUUoVYn/ln0++5A6zHatu0gHFftveWiocdkM9tZpvftv2f39T+mVDNtQ82/Z8n3RapyhTe/oiO76t7z8DSnanq7sdiXp63/LJo86rimjXOseULyK6KC27QtQhQzTfUHHNPLfuo3qntOv6cpqKVlr/y2b+fRRDXvate7v2q9q2qfjClFYhumO0wlN/bdu+9iz+iJdWQmlaO+/ZR+9fljdMvym/qBExfxb7h8gnUtXNlCn9ea/Zff0Pq230v2W+0lK+rdsybxENc/Qpg91WF3/LS9ZPEXp16A7dFaf/ztk/PAT+k+GfY9j+kehOiGFhcnN0aMX1qvkZNeyc+culB075l43ISGtPOM2QJKOH79QNxe3EUE6pZL/vtcCct1GOGSssggddKsbrkNWuZdSXcoCdcYqC9ZJt7ol/t1GHFBRt7JCOmLV9dF5lzJ/JVlloTruVjfq322EJ6E6bpX5Z/hB9dF5q6yQ3JdhUR1QyX+3ERkF66RVN1BnXMq8lGqVhWfYmZTSlquz3CHXnmgL6LRVFqRTbnWdZXsU7VaWfhl6y/URIRdbhsX+3UacVYBbWZiOWXX9XNZGyVfJVllBHXWrG6n9KvnvNiKjEJ2w6gborEuZt1KsssJyP0haRImZfubpl2HG77d0YRkWUaJbWWEdTivfp7R1LL2zZy+sUxkPlEnSP/+kDc9n24iS8vz9zmoZso2QNR+2EWmup22EtU4lum8jdPjwhfLc3kZkDGdZyNWu0SXX7tFHjhx5KZO/8ooVk7y8JH9/1+He3lKJEml/FyrkXq9IkQvlGQUFXSgrUMC1zOG4UBYR4Vb1kMK1V2nlqRlOIp5RoFV2UsFudfephPwy2QgeUSGr7vkMX4Ek+Vtlx+Xer36Colz+Te+4Qq26SXJdhuflY5UdkfsyPKCi2qsSOudhI3hSwVbdMwp0KUuVl1V2SOFudQ8qwio3ct2bP60CVtkpBbnVdZYlqohbWfplmCJvl7KLLcN4FVOS/D0uw2MKs+pmXBbJ8rXKjqqgW939ilSYjnn8PpxQiFU348Y3Rd5W2WEVdqubqCJWeUbpl+FpFXArz2oZHlbhTJfhWQVYZSc8bNT/UXGFljgpeeoxtGDBC+uVr69rmZ/fhTJPG9CoqLQNcGH35aDQ0At1c3EbcUpBmS5DI4dVdlBsI9hGXJ/biJIllLaOpRcQcGGdCnHfRqh4celk/ttG7N3n+fud1TJkGyFrPmwj0lxP2whrnSrivgxVuPCF8tzeRhQrlu1AZfuhvVmpWLGixowZowEDBuR00nkiPz60lwf7AVm7Vh5nx7oOZO1aWdcl1nfgYvLL+n7ZH9q7I+M9Iv/y8vJSwYIFFeIpAQIAAADANcRWmCpdunRutwMAAAAAriq2wtT58+d1+t/OFIKCguSd7jrFlJQUnTqVdhNegQIF5ONzSbdlAQAAAEC+ZKtr9LFjx6pQoUKKiopSQkKCS9mBAwcUFRWlQoUKaezYsbnSSAAAAADIb2yFqR9++EHGGLVt21YlMvRQVaxYMXXs2FHGGC1evDhXGgkAAAAA+Y2tMLVr1y45HA5Vq1bNY3mlSpWs8QAAAADgWmQrTDnviTrm6YF2ko4ePSpJOnPmjMdyAAAAALja2QpTERERMsZo/vz5VkcUTmfOnNGnn34qSQoPd3/4GQAAAABcC2yFqTp16kiS9uzZo1tuuUXz5s3TmjVrNG/ePN1yyy3WZYB169bN1cYCAAAAQH5hq9/yu+++W1988YUkae3aterevbvH8fr06WO/ZQAAAACQj9k6M9WlSxe1adNGxhg5HA4ZY6yXU5s2bXTnnXfmWkMBAAAAID+xFaYk6eOPP9aQIUNcHtgrSd7e3ho6dKjmzZt3yY0DAAAAgPzKYdKfTrLh6NGj+vXXX3X48GEVLlxYDRs2VMGCBXOpeVfG8ePHFRYWpmPHjik0NDSvmyNJcjjyugVA/nZpW678g3UdyNq1sq5LrO/AxeSX9T0n2cDWPVPpFSxYUK1atbrUyQAAAADAVcVWmFq7dq1++eUXSWn3TxUvXtwq++eff6xL/Jo2baratWvnQjMBAAAAIH+xdZlfz5499eGHHyo6Olrbtm2Tj8+FTJaSkqLKlSvr77//VteuXRUXF5erDb4cuMwPuPrkl0sBLhXrOpC1a2Vdl1jfgYvJL+t7TrKBrQ4oVq5cKUlq1aqVS5CS0jqgiI2NlTFGv/76q53JAwAAAEC+ZytMJSQkSJJKlizpsTwqKkqSdODAAZvNAgAAAID8zVaY8vJKq7Z582aP5Vu2bJEkt27TAQAAAOBaYStMlSpVSsYYffTRR1q2bJlL2bJly/Thhx/K4XCoVKlSudJIAAAAAMhvbPXmFxMTo02bNik5OVnNmjVTbGysypYtqx07duibb77R+fPn5XA41Lx589xuLwAAAADkC7Z689uyZYtq1Kih5ORkGWPkSNc9jXNy/v7+Wr9+vSpVqpR7rb1M6M0PuPrklx5/LhXrOpC1a2Vdl1jfgYvJL+v7Ze/Nr1KlSpo5c6ZLiHKZqJeXZs6ceVUEKQAAAACww1aYkqSBAwfql19+UadOnVSkSBF5e3urSJEi6ty5s5YuXaoBAwbkZjsBAAAAIF+xdZnfxRw+fFjvvfeeZs+erTVr1uT25HMdl/kBV5/8cinApWJdB7J2razrEus7cDH5ZX3PSTaw1QGFJ6mpqfrqq680e/Zsffnll0pOTs6tSQMAAABAvnPJYeqPP/7QrFmz9N5771kP6XWe7MrsnioAAAAAuNrZClNHjhzR+++/r9mzZ2vt2rWSLgSo9MqUKXNJjQMAAACA/CrbYSo1NVWLFi3S7Nmz9cUXX+jcuXOS5NI1uvPfqlWr6uWXX+Y5UwAAAACuWdkOU9HR0UpISJDkfhbK399fbdu21ccffyyHw6Hq1asTpAAAAABc07LdNXp8fLykC0HK19dXrVu31v/+9z8dOHBAH330Ua42bObMmSpTpowCAgLUoEEDrVy5Mlv14uLi5HA41LFjx1xtDwAAAACkl+N7phwOhypWrKg5c+aofv36l6NNmjt3rkaOHKnXXntNDRo00PTp0xUbG6stW7aoaNGimdbbuXOnHn74Yd18882XpV0AAAAA4GTrob1//fWXGjVqpPr16+vFF1/Uvn37crVR06ZN06BBg9S/f39VrVpVr732mgoUKKC333470zopKSnq3bu3pkyZohtuuCFX2wMAAAAAGWU7TFWtWlXGGOsyP2OM1qxZo4cfflilS5fWLbfckisNOnfunNasWaMWLVpcaKSXl1q0aKHly5dnWu/xxx9X0aJFNXDgwIvOIykpScePH3d5AQAAAEBOZDtM/f7771q5cqWGDBmiggULSrpw/1RqaqqWLl1qjbty5UrFxcUpKSkpxw06ePCgUlJSFBkZ6TI8MjLS6gAjo19++UVvvfWW3njjjWzNY+rUqQoLC7Ne0dHROW4nAAAAgOtbji7zq1u3rmbOnKn4+HjFxcWpdevW8vJKm0T6LtJ37Nih3r17q3jx4rnf4gxOnDihu+++W2+88YYiIiKyVWf8+PE6duyY9dqzZ89lbiUAAACAa42th/b6+fmpW7du6tatmxISEvS///1Pc+bM0aZNmySldVJhjNHRo0dzPO2IiAh5e3tr//79LsP379+vqKgot/G3b9+unTt36o477rCGpaamSpJ8fHy0ZcsWlStXzqWOv7+//P39c9w2AAAAAHCy1QFFelFRURozZoz++OMP/frrrxo8eLDCwsJsT8/Pz0916tTR4sWLrWGpqalavHixGjVq5DZ+5cqV9dtvv2n9+vXWq3379mrevLnWr1/PJXwAAAAALgtbZ6YyU79+fdWvX1/Tp0/X/PnzNWfOHFvTGTlypPr27au6deta0zt16pT69+8vSerTp49KlCihqVOnKiAgQDfeeKNLfec9XRmHAwAAAEBuydUw5eTv768ePXqoR48etup3795diYmJmjhxohISElSzZk0tWrTI6pRi9+7d1r1aAAAAAJAXHMbZJd917Pjx4woLC9OxY8cUGhqa182RJP3blweATFwrWy7WdSBr18q6LrG+AxeTX9b3nGQDTu8AAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIAN+TZMzZw5U2XKlFFAQIAaNGiglStXZjruG2+8oZtvvlmFChVSoUKF1KJFiyzHBwAAAIBLlS/D1Ny5czVy5EhNmjRJa9euVY0aNRQbG6sDBw54HH/JkiXq2bOnfvjhBy1fvlzR0dG6/fbbtW/fvivccgAAAADXC4cxxuR1IzJq0KCB6tWrpxkzZkiSUlNTFR0dreHDh2vcuHEXrZ+SkqJChQppxowZ6tOnz0XHP378uMLCwnTs2DGFhoZecvtzg8OR1y0A8rf8t+Wyh3UdyNq1sq5LrO/AxeSX9T0n2SDfnZk6d+6c1qxZoxYtWljDvLy81KJFCy1fvjxb0zh9+rSSk5NVuHBhj+VJSUk6fvy4ywsAAAAAciLfhamDBw8qJSVFkZGRLsMjIyOVkJCQrWmMHTtWxYsXdwlk6U2dOlVhYWHWKzo6+pLbDQAAAOD6ku/C1KX6z3/+o7i4OM2fP18BAQEexxk/fryOHTtmvfbs2XOFWwkAAADgaueT1w3IKCIiQt7e3tq/f7/L8P379ysqKirLus8//7z+85//6LvvvtNNN92U6Xj+/v7y9/fPlfYCAAAAuD7luzNTfn5+qlOnjhYvXmwNS01N1eLFi9WoUaNM6z377LN64okntGjRItWtW/dKNBUAAADAdSzfnZmSpJEjR6pv376qW7eu6tevr+nTp+vUqVPq37+/JKlPnz4qUaKEpk6dKkl65plnNHHiRL3//vsqU6aMdW9VcHCwgoOD8+x9AAAAALh25csw1b17dyUmJmrixIlKSEhQzZo1tWjRIqtTit27d8vL68JJtVdffVXnzp1Tly5dXKYzadIkTZ48+Uo2HQAAAMB1Il8+Z+pK4zlTwNXnWtlysa4DWbtW1nWJ9R24mPyyvl/Vz5kCAAAAgKsBYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGwgTAEAAACADYQpAAAAALCBMAUAAAAANhCmAAAAAMAGwhQAAAAA2ECYAgAAAAAbCFMAAAAAYANhCgAAAABsIEwBAAAAgA2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIAAAAAGwhTAAAAAGADYQoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgA2EKAAAAAGzIt2Fq5syZKlOmjAICAtSgQQOtXLkyy/E/+ugjVa5cWQEBAapevbq++uqrK9RSAAAAANejfBmm5s6dq5EjR2rSpElau3atatSoodjYWB04cMDj+MuWLVPPnj01cOBArVu3Th07dlTHjh31+++/X+GWAwAAALheOIwxJq8bkVGDBg1Ur149zZgxQ5KUmpqq6OhoDR8+XOPGjXMbv3v37jp16pS+/PJLa1jDhg1Vs2ZNvfbaaxed3/HjxxUWFqZjx44pNDQ0997IJXA48roFQP6W/7Zc9rCuA1m7VtZ1ifUduJj8sr7nJBv4XKE2Zdu5c+e0Zs0ajR8/3hrm5eWlFi1aaPny5R7rLF++XCNHjnQZFhsbq08//dTj+ElJSUpKSrL+f+zYMUlpCw7A1YHVFbg+sK4D14/8sr47M0F2zjnluzB18OBBpaSkKDIy0mV4ZGSkNm/e7LFOQkKCx/ETEhI8jj916lRNmTLFbXh0dLTNVgO40sLC8roFAK4E1nXg+pHf1vcTJ04o7CKNyndh6koYP368y5ms1NRUHT58WOHh4XJwDh4ZHD9+XNHR0dqzZ0++uQwUwOXB+g5cH1jXkRVjjE6cOKHixYtfdNx8F6YiIiLk7e2t/fv3uwzfv3+/oqKiPNaJiorK0fj+/v7y9/d3GVawYEH7jcZ1ITQ0lA0ucJ1gfQeuD6zryMzFzkg55bve/Pz8/FSnTh0tXrzYGpaamqrFixerUaNGHus0atTIZXxJ+vbbbzMdHwAAAAAuVb47MyVJI0eOVN++fVW3bl3Vr19f06dP16lTp9S/f39JUp8+fVSiRAlNnTpVkjRixAg1a9ZML7zwgtq2bau4uDitXr1ar7/+el6+DQAAAADXsHwZprp3767ExERNnDhRCQkJqlmzphYtWmR1MrF79255eV04qda4cWO9//77mjBhgh555BFVqFBBn376qW688ca8egu4hvj7+2vSpElul4YCuPawvgPXB9Z15JZ8+ZwpAAAAAMjv8t09UwAAAABwNSBMAQAAAIANhCkAAAAAsIEwhetamTJlNH36dOv/DodDn376aZ61B8DVr1+/furYsWOuTnP27Nkuz0OcPHmyatasmavzAHJLTEyMHnzwwbxuxnUnISFBLVu2VFBQkLW9YL/m8iNMIU/069dPDofDeoWHh6tVq1bauHFjnrYrPj5erVu3vqzzyLhTlNHFdsTKlCkjh8OhuLg4t7Jq1arJ4XBo9uzZl95Q4F8Z11fnq1WrVtY4zu+lw+FQYGCgypQpo27duun777/3OM2PP/5YMTExCgsLU3BwsG666SY9/vjjOnz4cJZt+eGHH9SuXTsVKVJEAQEBKleunLp3766ffvopx+9r27ZtGjBggEqVKiV/f3+VKFFCt912m9577z2dP38+W8vDz89P5cuX1+OPP27Veemlly77Ovjwww+7PV8RecNOeM6PO7hXMgDNnj3b4zYlICDAGif9eubr66vIyEi1bNlSb7/9tlJTU92muW7dOnXt2lWRkZEKCAhQhQoVNGjQIP31119ZtsXudsCT48eP67HHHlO1atUUGBio8PBw1atXT88++6yOHDmSreXh5eWlYsWKqXv37tq9e3eO5v/iiy8qPj5e69evt973ldivuVJ27twph8Oh9evX53VTXBCmkGdatWql+Ph4xcfHa/HixfLx8VG7du3ytE1RUVFXRTep0dHRmjVrlsuwX3/9VQkJCQoKCsqjVuFaln59db4++OADl3Eef/xxxcfHa8uWLfrf//6nggULqkWLFnrqqadcxnv00UfVvXt31atXTwsXLtTvv/+uF154QRs2bNA777yTaRteeeUV3XbbbQoPD9fcuXO1ZcsWzZ8/X40bN9ZDDz2Uo/ezcuVK1a5dW5s2bdLMmTP1+++/a8mSJbrnnnv06quv6o8//sjW8ti6datGjRqlyZMn67nnnpMkhYWFZXnAJDcEBwcrPDz8ss4D14bk5OS8boJHoaGhbtuUXbt2uYzjXM927typhQsXqnnz5hoxYoTatWvnEnS+/PJLNWzYUElJSXrvvfe0adMmvfvuuwoLC9Njjz2WaRsudTuQ3uHDh9WwYUPNmjVLDz/8sFasWKG1a9fqqaee0rp16/T+++9na3ns27dPH3/8sbZs2aKuXbtme/6StH37dtWpU0cVKlRQ0aJFJV09+zVXNQPkgb59+5oOHTq4DPv555+NJHPgwAFr2JgxY0yFChVMYGCgKVu2rJkwYYI5d+6cVb5+/XoTExNjgoODTUhIiKldu7ZZtWqVyzSbNm1qAgICTMmSJc3w4cPNyZMnrfLSpUubF1980fq/JDN//nxjjDE7duwwkszHH39sYmJiTGBgoLnpppvMsmXL3Nqd1TwymjVrlgkLC8vRskmvdOnSZty4ccbf39/s3r3bGj5o0CAzfPhwExYWZmbNmpVpfSCnLvadNMZ9XXKaOHGi8fLyMps3bzbGGLNixQojyUyfPt3jdI4cOeJx+K5du4yvr6956KGHPJanpqa6/H/evHmmatWqxs/Pz5QuXdo8//zzLuNWqVLF1KlTx6SkpGRreul5Wh4tW7Y0DRs29FjerFkzc//995v777/fhIaGmvDwcDNhwgSXeZw9e9aMGjXKFC9e3BQoUMDUr1/f/PDDD1Z5xu3GpEmTTI0aNdza9Nxzz5moqChTuHBhM3ToUJft5cXmAXs8fd7Dhw83o0ePNoUKFTKRkZFm0qRJVnnp0qWNJOtVunRpq+zTTz81tWrVMv7+/qZs2bJm8uTJJjk52SrftGmTadKkifH39zdVqlQx3377rcffrbi4OHPLLbcYf39/M2vWLHPw4EHTo0cPU7x4cRMYGGhuvPFG8/7777u8h/RtkmR27NhhjDHmt99+M61atTJBQUGmaNGi5q677jKJiYlW3ZMnT5q7777bBAUFmaioKPP888+bZs2amREjRmS6zC72O+hpuTotXrzYSDJvvPGGMcaYU6dOmYiICNOxY0eP08lsm5LT7cDGjRtN8+bNTUBAgClcuLAZNGiQOXHihFU+ePBgExQUZPbt23fRaWXkaXm8/PLLRpI5duyYNSyr70fG71Xfvn2NMZdnv6Z06dLmiSeesD73UqVKmc8++8wcOHDAtG/f3gQFBZnq1au77I9ld7pPPfWU6d+/vwkODjbR0dHmv//9r1We8TvarFmzTJfplcSZKeQLJ0+e1Lvvvqvy5cu7HG0NCQnR7Nmz9eeff+qll17SG2+8oRdffNEq7927t0qWLKlVq1ZpzZo1GjdunHx9fSWlHaFp1aqV7rzzTm3cuFFz587VL7/8omHDhuWobY8++qgefvhhrV+/XhUrVlTPnj2tI2K5NY+cioyMVGxsrObMmSNJOn36tObOnasBAwZc1vkCOTVixAgZY/TZZ59Jkt577z0FBwdr6NChHsfP7IzOxx9/rOTkZI0ZM8ZjucPhsP5es2aNunXrph49eui3337T5MmT9dhjj1mX3q1fv16bNm3Sww8/7PIA+Mymlx2BgYE6d+5cpuVz5syRj4+PVq5cqZdeeknTpk3Tm2++aZUPGzZMy5cvV1xcnDZu3KiuXbuqVatW2rp1a7bb8MMPP2j79u364YcfNGfOHM2ePdvlcsPcmAeyZ86cOQoKCtKKFSv07LPP6vHHH9e3334rSVq1apUkadasWYqPj7f+//PPP6tPnz4aMWKE/vzzT/33v//V7NmzrTO7KSkp6tixowoUKKAVK1bo9ddf16OPPupx/uPGjdOIESO0adMmxcbG6uzZs6pTp44WLFig33//Xffee6/uvvturVy5UlLapamNGjXSoEGDrLNE0dHROnr0qG699VbVqlVLq1ev1qJFi7R//35169bNmtfo0aP1448/6rPPPtM333yjJUuWaO3atZdt2d56662qUaOGPvnkE0nS119/rYMHD2a6bchsm5KT7cCpU6cUGxurQoUKadWqVfroo4/03XffWb/1qampmjt3ru666y4VL148y2llx4EDBzR//nx5e3vL29tb0sW/H6tWrVKrVq3UrVs3xcfH66WXXsp0+rmxX/Piiy+qSZMmWrdundq2bau7775bffr00V133aW1a9eqXLly6tOnj8y/j7PN7nRfeOEF1a1bV+vWrdPQoUM1ZMgQbdmyRZKs7+t3332n+Ph46zuQ5/I6zeH61LdvX+Pt7W2CgoJMUFCQkWSKFStm1qxZk2W95557ztSpU8f6f0hIiJk9e7bHcQcOHGjuvfdel2E///yz8fLyMmfOnDHGZO/M1JtvvmmV//HHH0aS2bRpU7bnkVFunJl68cUXzaeffmrKlStnUlNTzZw5c0ytWrWMMYYzU8h1GddX5+upp56yxsnszJQxxkRGRpohQ4YYY4xp3bq1uemmm3Lchvvuu8+Ehoa6DJs3b55LezZu3GiMMaZXr16mZcuWLuOOHj3aVK1a1RhjTFxcnJFk1q5da5Xv37/fZVozZ87MtC3p19HU1FTz7bffGn9/f/Pwww+7lRuTdqaiSpUqLkemx44da6pUqWKMSTvr5u3t7XZE+7bbbjPjx483xmTvzFTp0qXN+fPnrWFdu3Y13bt3z/Y8YI+nz7tp06Yu49SrV8+MHTvW+n/63xqn2267zTz99NMuw9555x1TrFgxY4wxCxcuND4+PiY+Pt4qz+zMVGZnftNr27atGTVqlEu7M55NeuKJJ8ztt9/uMmzPnj1GktmyZYs5ceKE8fPzMx9++KFVfujQIRMYGHjRM1OS3LYprVq1ssbJ6rewe/fu1vrzzDPPGEnm8OHDF33P6eVkO/D666+bQoUKuZxFWbBggfHy8jIJCQkmISHBSDLTpk1zmUft2rWtafXo0SNby6NAgQLWmZcHHnjAGudi3w9jjOnQoYN1RsrpcuzXlC5d2tx1111WeXx8vJFkHnvsMWvY8uXLjSTr+2pnuqmpqaZo0aLm1VdfdWn/unXrMlmSecPnSgY3IL3mzZvr1VdflSQdOXJEr7zyilq3bq2VK1eqdOnSkqS5c+fq5Zdf1vbt23Xy5EmdP39eoaGh1jRGjhype+65R++8845atGihrl27qly5cpKkDRs2aOPGjXrvvfes8Y0xSk1N1Y4dO1SlSpVstfOmm26y/i5WrJiktKNGlStXzrV52NG2bVsNHjxYP/30k95++23OSuGySr++OhUuXDhbdY0x1lFZ8+9RSjsyHtmNjY3V+vXrtW/fPsXExCglJUWStGnTJnXo0MFl3CZNmmj69OnWOBmFh4dbNzXHxMRkeZZJSrtHIzg4WMnJyUpNTVWvXr00efLkTMdv2LChS/sbNWqkF154QSkpKfrtt9+UkpKiihUrutRJSkrK0X1R1apVs45iS2nbq99++02Scm0eyJ70vxtS2mdx4MCBLOts2LBBS5cudbnHMCUlRWfPntXp06e1ZcsWRUdHKyoqyiqvX7++x2nVrVvX5f8pKSl6+umn9eGHH2rfvn06d+6ckpKSVKBAgYu26YcfflBwcLBb2fbt23XmzBmdO3dODRo0sIYXLlxYlSpVynK6UtqVJxnPYAUGBl60npR725SMMtsObNq0STVq1HC5J7lJkyZKTU3Vli1bMn2/8+fP17lz5zR27FidOXMmy3k7l0dycrIWLlyo9957z+W7cLHvx8U+y/RyY78m/TQiIyMlSdWrV3cbduDAAUVFRdmarsPhUFRU1EXXnbxGmEKeCQoKUvny5a3/v/nmmwoLC9Mbb7yhJ598UsuXL1fv3r01ZcoUxcbGKiwsTHFxcXrhhResOpMnT1avXr20YMECLVy4UJMmTVJcXJw6deqkkydPavDgwXrggQfc5l2qVKlst9N52aB0YWfO2ZNQbs3DDh8fH919992aNGmSVqxYofnz51/W+eH6lnF9za5Dhw4pMTFRZcuWlSRVrFhRv/zyi5KTk13WrYupUKGCjh07poSEBGtnMjg4WOXLl5ePT85+yipUqCBJ2rJli2rVqiVJ8vb2tt5fdqbnDJd+fn4qXrx4jtuQ3smTJ+Xt7a01a9a4hCFJHndiM5NxeTocDpdtVW7MA9mT1WeRmZMnT2rKlCnq3LmzW1n6Xu6yI2NHRM8995xeeuklTZ8+XdWrV1dQUJAefPDBix40OHnypO644w4988wzbmXFihXTtm3bctSu9Ly8vGxtU6S0cJN+myJJmzdvVqNGjbI9jdzYDjgVKVJEBQsWtC5Hc3LuB4SEhOjo0aNZTiP98qhSpYq2b9+uIUOGWJ3y5Ob3Izf2azxNI7en65zOxdadvEaYQr7h7BLUefRm2bJlKl26tMs14Rl7+pHSNqQVK1bUQw89pJ49e2rWrFnq1KmTateurT///NP2xjo7rsQ8sjJgwAA9//zz6t69uwoVKpQnbQCy8tJLL8nLy8vqOrpXr156+eWX9corr2jEiBFu4x89etTjPQ5dunTRuHHj9Mwzz7jcN+lJlSpVtHTpUpdhS5cuVcWKFeXt7a1atWqpcuXKev7559WtW7dM75fISk7D5YoVK1z+/+uvv6pChQpWe1JSUnTgwAHdfPPNOW5LdlyJeSD7fH193c6S1q5dW1u2bMn0e1WpUiXt2bNH+/fvt476O++3upilS5eqQ4cOuuuuuySl7eD+9ddfqlq1qjWOn5+fxzZ9/PHHKlOmjMdwUa5cOfn6+mrFihXWDvGRI0f0119/qVmzZtlqW059//33+u2336wePG+//XZFRETo2Wef9XhQMbNtSk62A1WqVNHs2bN16tQpK6guXbpUXl5eqlSpkry8vNStWze9++67mjhxYqb3TeXEuHHjVK5cOT300EOqXbv2Rb8fueVy7dfkxnT9/PwkKdMrDPIKYQp5JikpSQkJCZLSNr4zZsywjoJJaUeNdu/erbi4ONWrV08LFixw2VCeOXNGo0ePVpcuXVS2bFnt3btXq1at0p133ilJGjt2rBo2bKhhw4bpnnvuUVBQkP788099++23mjFjRq68B7vzSElJcXtOgr+/v3Wa+9ixY27l4eHhio6OdhlWpUoVHTx4MEen9wE70q+vTj4+PoqIiLD+f+LECSUkJCg5OVk7duzQu+++qzfffFNTp061fkAbNGigMWPGaNSoUdq3b586deqk4sWLa9u2bXrttdfUtGlTjyGrVKlSeuGFFzRixAgdPnxY/fr1U9myZXX48GG9++67kmSdcRk1apTq1aunJ554Qt27d9fy5cs1Y8YMvfLKK5LSDtzMmjVLLVu2VJMmTTR+/HhVqVJFycnJ+umnn5SYmOh29uZS7d69WyNHjtTgwYO1du1a/d///Z91lr1ixYrq3bu3+vTpoxdeeEG1atVSYmKiFi9erJtuuklt27a95PlfiXkg+8qUKaPFixerSZMm8vf3V6FChTRx4kS1a9dOpUqVUpcuXeTl5aUNGzbo999/15NPPqmWLVuqXLly6tu3r5599lmdOHFCEyZMkHTxzg0qVKigefPmadmyZSpUqJCmTZum/fv3u4SpMmXKaMWKFdq5c6eCg4NVuHBh3X///XrjjTfUs2dPjRkzRoULF9a2bdsUFxenN998U8HBwRo4cKBGjx6t8PBwFS1aVI8++mi2DlAYY9y2KZJUtGhRq75zu5OSkqL9+/dr0aJFmjp1qtq1a6c+ffpISjuw8eabb6pr165q3769HnjgAZUvX14HDx7Uhx9+aO1HZJST7UDv3r01adIk9e3bV5MnT1ZiYqKGDx+uu+++2wq2Tz/9tJYsWaL69evr8ccfV926dRUUFKSNGzdq+fLluvHGGy+6TNKLjo5Wp06dNHHiRH355ZcX/X7klsu175Qb0y1atKgCAwO1aNEilSxZUgEBAQoLC7PdplyTZ3dr4bqWsRvWkJAQU69ePTNv3jyX8UaPHm3Cw8NNcHCw6d69u3nxxRetm7CTkpJMjx49THR0tPHz8zPFixc3w4YNc+n4YeXKlaZly5YmODjYBAUFmZtuuinLm+bl4UbN9Dc6HjlyxEhy6U74YvPIyHmjacZXuXLlPC4b52vgwIEe25wRHVAgt2X2naxUqZI1Tvpuef38/EypUqVMt27dzPfff+9xmnPnzjW33HKLCQkJsdabxx9/PNNujJ2+/fZb07p1a1O4cGHj4+NjIiMjTceOHc2iRYtcxnN2je7r62tKlSplnnvuObdpbdmyxfTt29eULFnS+Pj4mLCwMHPLLbeY//73vy7dUXtaHll1EuOpQ4KhQ4danWgUKlTIPPLIIy4dUpw7d85MnDjRlClTxvj6+ppixYqZTp06WZ1qZLdr9PRGjBjh0nXwxeYBezx93hk7X8jYMcDnn39uypcvb3x8fFy6Rl+0aJFp3LixCQwMNKGhoaZ+/frm9ddft8qdXaP7+fmZypUrmy+++MJIsr7/md2gf+jQIdOhQwcTHBxsihYtaiZMmGD69Onj0u4tW7aYhg0bmsDAQJeu0f/66y/TqVMnU7BgQRMYGGgqV65sHnzwQev7e+LECXPXXXeZAgUKmMjISPPss89mq2t0T9sUpeuwIP12x8fHxxQpUsS0aNHCvP322x67Ml+1apXp3LmzKVKkiPH39zfly5c39957r9m6dWum7XC+7+xsBy7WNboxxhw9etSMHz/eVK5c2fj7+1tdjz/22GPm0KFDWS4PTx1TOTtxWLFihTHm4t+P7HZAcan7NZ72Q9LPJ7N52ZlujRo1XB4t8MYbb5jo6Gjj5eWVb7pGdxiTi3fuAQAAFzExMapZs6amT5+e103BNWbp0qVq2rSptm3bZnW+BODK4jI/AACAq8D8+fMVHBysChUqaNu2bRoxYoSaNGlCkALyEGEKAADgKnDixAmNHTtWu3fvVkREhFq0aOHSwy2AK4/L/AAAAADAhpz3BwsAAAAAIEwBAAAAgB2EKQAAAACwgTAFAAAAADYQpgAAAADABsIUAAAAANhAmAIA5Jm4uDjFxsYqMjJSvr6+CgsLU9myZRUTE6MRI0bo66+/vqLtiYmJkcPhkMPhUL9+/a7ovAEAVx8e2gsAyBN9+vTRO++84zLs+PHjOn78uHbu3Kkff/xRu3btUmxsbB61EACArBGmAABX3KJFi1yCVJ06dRQbG6vg4GAlJiZq7dq1Wr58eR62EACAi+MyPwDAFffNN99Yf5cvX14rVqzQU089pfHjx2vatGlasmSJEhMTNXr0aEnSpEmTrMvvoqOjlZqa6jK9P/74wyp3OBxasWKFJOnUqVN6/PHHVbt2bYWEhMjX11dFixZVzZo1NWjQIC1atEiSNHnyZDkcDv3444/WNOfMmeMyzZ07d1plSUlJmjFjhm655RYVLlxYfn5+KlasmLp27eoxBM6ePdtlWseOHdMDDzygYsWKKSgoSM2bN9fKlSslSX///be6dOmiQoUKKSQkRK1atdLvv/+eOwseAJCrODMFALjizp8/b/199OhR7dy5U+XKlXMZJzQ0VE2aNJEk3XfffZo6daqSk5O1d+9eLVq0SG3atLHG/fDDD62/q1atqgYNGkiS2rVrpyVLlrhMNzExUYmJidqwYYNOnDihVq1a5ajtiYmJuv3227V+/XqX4QkJCZo3b54++eQTTZs2TSNGjMh0GrfddpvWrFlj/X/JkiVq1qyZ5s6dq/79++vw4cNW2ddff63Vq1dr06ZNKlKkSI7aCgC4vAhTAIArrnbt2tbfBw8eVMWKFVWzZk3Vq1dPderUUfPmzVW+fHlrnGLFiunOO+9UXFycJOnNN990CVMfffSR9Xf//v0lSZs2bbKClJeXl/r06aOKFSvq4MGD2rFjh0vIuv322xUcHKxXX31Vf//9tySpbt266t69uzVO4cKFJUl33323FaRCQkLUq1cvlSxZUkuXLtWiRYuUmpqqhx56SHXr1rXCYEbr1q3ToEGDFBwcrBkzZig5OVlnz55Vhw4d5OPjo6FDh+rcuXN68803JUmHDh3SW2+9pXHjxuVoOQMALjMDAMAVlpycbOrWrWskZfpq2rSpWb9+vVVn6dKlVpmvr69JSEgwxhjz22+/WcN9fHys4WvXrrWGV6lSxaSmprq04fz582bnzp0uw5o1a2bV6du3r1u7N2zY4NLG77//3qW8TZs2VlmnTp2s4bNmzXKp9+STT1plPXv2dCl77rnnrLKGDRtawzt37pzDpQwAuNy4ZwoAcMX5+Pjo+++/1/jx4xUZGelxnF9++UUtW7ZUYmKiJKlx48bWGa3k5GTNnj1bkutZqTZt2ljTq1KlisLDwyWlnaUqX768unTpokceeURxcXE6cuSISpcunaN2L1261OX/t956q8u9UF999ZVVtmzZskync9ddd1l/lylTxqWsW7du1t/pL308cuRIjtoKALj8CFMAgDwREhKip59+WvHx8fr999/11ltvqW/fvgoJCbHGSUxMdOn174EHHrD+fuuttyS5hqkBAwZYfwcEBOjDDz9UqVKlJKV17PDxxx9r6tSp6tmzp0qUKKFp06blqM3p72W6GGcI9KR48eLW335+fpmW+fhcuBo/Y6cbAIC8xz1TAIA85XA4VK1aNVWrVk0DBgzQ5MmTVa5cOSs8bN261Rq3R48eGj16tBITE7V161bNmDFDmzZtkiQVLVpUbdu2dZn2rbfeqh07dmjt2rVav369tm3bpmXLlunnn3/WuXPnNHr0aLVv397l/qysOO+bcnr88ccVGBiY4/fs6+ubaVn6AAUAyN/YYgMArrg5c+bo7Nmz6tmzp0JDQ13KgoKC5OXlZYWpggULWmX+/v4aNGiQnn76aUmyuk6X0jqGSB9Ezp49qx07dqhKlSqqW7eu6tatK0kyxqhQoUI6duyYUlNTtWHDBitMpQ85p0+fdmt348aNXf4fERGhIUOGuI33xx9/cFkeAFwHCFMAgCtux44dmjJlih588EE1bdpUNWvWVOHChXXo0CHNmzfPpev0jF2XDxkyRM8++6zOnz+vs2fPWsOdvfg5HT16VFWrVlW1atVUv359FS9eXIGBgfrll1907Ngxa7z0Ya1EiRLW3wsWLNC4ceMUERGhiIgI9evXTzVq1FDLli317bffSpKGDRumhQsXqk6dOvLy8tKuXbu0bNkybdq0SZMmTVLTpk1zZXkBAPInwhQAIM+cPXtW3333nb777juP5YMGDVKzZs1chpUsWVIdO3bUvHnzrGH16tVTtWrVPE7jjz/+0B9//OGxrH79+i7T79y5s+bMmSMp7czUM888I0mqVq2a+vXrJ0l69913FRsbq/Xr1ys1NVVffPGFvvjii+y9YQDANYUwBQC44h588EFVr15d33//vVavXq2EhAQlJiYqJSVFRYoUUZ06ddS3b1917tzZY/0HHnjAJUyl73jCqVChQpoxY4aWLl2qDRs2KCEhQceOHVNQUJAqVqyoDh066MEHH3S5NLB9+/aaMWOGZs6cqe3bt+vcuXNu0y1atKhWrFiht99+Wx999JE2btyoI0eOKCAgQNHR0apbt65at26tDh065MKSAgDkZw5jjMnrRgAAkBPx8fEqUaKEjDEKDAzUP//843K5HgAAVwJnpgAAV40lS5bo1KlTeumll+Q8Fti7d2+CFAAgT3BmCgBw1XA4HC7/L1SokDZu3KiSJUvmUYsAANczHtoLALjqFCpUSG3atNGPP/5IkAIA5Bku8wMAXDW4mAIAkJ9wZgoAAAAAbCBMAQAAAIANhCkAAAAAsIEwBQAAAAA2EKYAAAAAwAbCFAAAAADYQJgCAAAAABsIUwAAAABgw/8D+HWmMA2M22oAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_3267734/3794852204.py:66: UserWarning: No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n",
      "  plt.legend()\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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btk2xsbEqVaqU7r33Xnl7e+vzzz9XqVKlHOdgAtkF4QrIwv7zn/94dFHIN954Q7/88ou2bdumXLly6ZtvvknzJWTPnj0yxuj8+fMuv9xe6dixY46///nnH0lSmTJlbriu2yU1+ISGhiooKMhln+LFizv1vVrRokVdTk9d3tWDgtxu6dWXeo2s9NoDAwMlOdefeoHY3bt3y7Ksaz7ula+Fm5H6vBcrVsxlu2VZKlasmOLi4lz+j64eGMNd+fLlkyQdOXLErf5Hjx51/B0WFubUljoiYI8ePdLM16NHD33wwQf6/vvv9cEHH7g9mqWr93u+fPn01ltvuTX/tYwYMUIffvihjh07pjVr1uj++++X9L/XhCSdPXvW5bxnzpxx/H3leyp13vTmu3Le9N6L13Irt4GpfvrpJ3Xv3l0nTpxId3kJCQkup9v5PrxSeu+LwMBAhYaG6sSJEzpw4MB1w1Xqezv1f30tx44dU6lSpVS8eHG9++67Gjx4sPr27au+ffsqMjJS0dHRevjhhzNNMAc8RbgCkMaaNWsco+GdPXtWf/75Z5oP65SUFEmXvwS0adPmttfoqpaM5OoR0zKa69V3I/WnPv/h4eFq3LjxNfumhpM7LSAgwKP5qlSpoi+//FIbNmxQUlKScuS49sfo2rVrJV0eGv/K99CGDRu0adMmSdKECRP05ZdfppnXy8tL58+f19dff+0Yov16pkyZkmZaZGSkLeEqJCRE+fPn16FDh3TgwAHH9MDAQIWEhOjkyZPat2+fKlasmGbe/fv3S7r8/8+VK5djelRUlDZs2OAYdv9qCQkJjmDiaSD2hDvbQOlyyG/fvr3Onz+vIUOGqHPnzoqKilLu3Lnl5eWlBQsWqHHjxk57MK9k5/vwRqVX05VS39uPPvqo0//NldDQUMff/fr1U7t27TR79mytWLFCK1as0PTp0zV9+nQNHz5cv/32G3uzkGURrgA4OX78uDp06KCkpCR1795dkydPVrdu3bRx40anoZKLFCki6fIegs8//9ztLwGpv8Re67o/V0v9lfP06dMu21P3htkl9XDFEydOKCEhweUv5qm/6GbUQxtvp9TXQmhoaLpD2tst9XlP/T+4smfPHqe+dmjevLkGDhyo+Ph4zZo165o/LBhj9MUXX0i6fKjZle+RK69jtXHjxms+5sSJE90OV+58YfZUcnKy4uPjJTnvrZKke++9V7/++qvWrVvn8pDYdevWOfpdPd8PP/zgaE9vvly5cqlUqVI3vQ7ucHcbKF3ea3X+/Hm1atVKb7zxRpplxcbG3paar5b62r/a6dOnHXvYChcufN3lFClSRLGxsRo6dKiqVq16QzUUKFBAvXr1Uq9evSRd3ub36NFDq1ev1nPPPefyhwAgK8jYP60CuK2MMXr88cd14MABdenSRZ9//rkGDhyouLg4tW/f3uk6MxEREapQoYJOnz7tOI/KHU2aNJEkzZ07N93zBa6W+uV4+/btadrOnTunJUuWuJwvNZRd67pMrhQuXNhx2J+rsGCMcUx/8MEHb2jZWVG1atWUL18+bdu2TX/99ddteczU85BmzJjh8tCoH3/8UXFxcQoMDEz3PDBPFC9eXO3atZMkDR48WKdOnUq374cffqgtW7bI19dXQ4YMcUw/f/68pk2bJkmaN2+ezOXBpdLc4uLi5Ofnp3Xr1mnLli22rYOnZs+erXPnzsmyrDRftFu1aiXp8nXhrt6TnJKSohkzZki6fC7clVq2bClJWrlypcu9V6nPU/PmzeXj42PLelzLjWwDJTmu1+TqGl3GGEf9t9u3336rxMTENNNTw36JEiXc+tHhoYcekqR0r9d1I8qUKaOhQ4dKkmOvLZAVEa4AOIwePVq//PKL7r77bn344YeOadHR0VqzZo3TF0RJGjVqlCSpe/fu+umnn9IszxijNWvWaMGCBY5plSpVUosWLXT+/Hm1aNEizReqpKQkzZ4922lagwYNJEnjx493On/m7Nmz6t27t+OQo6ul/jK7bds2t9b/SoMGDZIkvfLKK9q8ebPTOo0aNUqbNm1Snjx5HL/KZmc+Pj4aPny4jDFq1aqVVqxYkaZPcnKyFi9erN9//92Wx2zbtq2KFi3quLjplQF6z549GjhwoKTLhye5OrH/ZowfP15RUVHas2eP6tWrlyZQJiUl6Z133tEzzzwj6fJhf/fcc4+j/fvvv9epU6dUsGBBNWzYMN3HyZMnj2MvUOqFhm+lffv2OQbZuNrMmTP1n//8R5LUuXNnhYeHO7V369ZNERER2rlzp1566SWntpdeekk7d+5U4cKF1aVLF6e2e+65Ry1atFBycrJ69uyp8+fPO9rmzZunyZMny8vLS88//7xdq3lNN7oNLFu2rCTpu+++cwxeIV1+vQ8bNsy2AVxu1MGDBzVo0CCnQVS2b9+ul19+WZLUv39/t5YzePBg5cmTR++8847efvttx0AdV9qzZ4/TYa2LFy/W3Llz0wRRY4zmzJkjyXUYBbIKDgsEsrDPPvvMMaqaK40aNVKnTp0kScuXL9ewYcOUM2dOffvtt47j63PkyKHp06ercuXKGjt2rOrWrasWLVpIuvxr8rhx4zRw4EA98sgjKlGihEqXLq3g4GAdO3ZMmzdv1tGjRzV06FA1atTI8biTJk1S06ZN9fvvv6tkyZKqWbOmIiIidPjwYf355586duyY0+FN7dq109ixY7Vu3Trdc889ql27tlJSUrRu3Tr5+vqqR48eLr981qhRQxEREdq4caPuvfdelS9fXj4+PipdurQGDx58zefu//7v/7Rq1Sp98cUXqlq1qurUqaP8+fNrw4YNiomJUUBAgKZNm5ZmkILsqm/fvtq3b5/GjBmj+++/X/fcc49KlCihgIAAHT58WJs2bdKpU6f00UcfqUaNGjf9eH5+fvruu+/UpEkTffTRR5o7d65q1Kih06dPa/Hixbpw4YIaN26s4cOH27B2zkJCQvTbb7+pZcuWWr9+vcqXL6+qVauqePHiOnfunFavXq1jx44pKChIY8aMSTPiZOohgY899pi8vb2v+VhdunTRd999py+//FJvvvnmLR0I4OTJk3r88cf15JNPqnLlyipUqJDOnz/vGAlOuryn9qOPPkozb86cOfXNN9+oUaNGeu211zR79myVK1dOW7du1datW5UrVy59++23Ls91mzBhgrZt26Zff/1VxYsX1/3336+jR49q2bJlMsZo3LhxqlChgkfrdDu2gVWqVNH69etVqlQp1alTR7ly5dKaNWt08OBBDR061OXhgrfaE088oc8++0w///yzqlevrri4OC1ZskQXL15Uq1at9OSTT7q1nMKFCzsOfx00aJDefPNNlStXTgULFlR8fLy2b9+u3bt3q3r16nrsscckSVu2bFH//v0VFBSke++9VxERETp//rw2bNigf/75R8HBwY6QB2RJt3PcdwC3h7vXeHnmmWeMMcYcPXrUcS2Z9K6dNHv2bGNZlsmbN2+ai6H++eefpnfv3qZkyZLG39/f5MyZ09x1112mcePG5r333jP//vtvmuUlJiaajz76yNx///0mT548xtfX1xQuXNg0bNjQjB8/Pk3/uLg407dvX1O4cGHj4+NjChUqZHr37m2OHDlyzesh/fnnn+aRRx4xYWFhxsvLy0gyderUcbSnd52rVNOmTTN169Y1efLkMT4+PqZIkSKmW7duZseOHS77pz73ri4Y687jucOO61xd+Ry4M1+qaz3XxhizcuVK07lzZxMZGWn8/PxMYGCgKVWqlGnZsqX57LPPzMmTJ6+/gm4+ljHG7Nu3z/Tp08fcddddxtfX1wQGBpro6Gjz0UcfOV1A1d31uxHJyclm2rRppkWLFiYiIsL4+Pg43ls5c+Y0u3btSjPPrl27jGVZRpLZunXrdR/j0qVLjgu/zpgx46Zrvpbjx4+boUOHmnr16pmiRYuaXLlyGR8fH1OwYEHz8MMPm2nTpjldRNaV2NhY06VLF8fzERERYbp06eLyubhSfHy8ee6550zJkiWNn5+fCQkJMU2aNDG//vqrR+tyO7eBp0+fNv/9739N6dKljb+/v8mfP79p2bKlWbduXbrvt1v1Prxy+7JhwwbTvHlzExoaavz8/Mw999xj3nnnHY/eF0eOHDEvvfSSuffeex0XBC9cuLCpWbOmGT58uNmyZYuj765du8yIESNM/fr1TdGiRY2/v7/JmzevqVChgnnuuefM/v37XT4GkFVYxtzCs18BAMhG4uPj9eCDD2rjxo1q1KiRZs+efd1LFQB26datm6ZMmaJJkyZ5NAQ9gJvHOVcAANgkODhY8+fPV9myZbVgwQK1b9/+hgdUAQBkXpxzBQCAjcLCwvTrr7/q008/lTFG69evV/Xq1e90WQCA24BwBQCAzSIiIm7JYBoAgIyNc64AAAAAwAaccwUAAAAANiBcAQAAAIANOOcqHSkpKTp48KACAwNlWdadLgcAAADAHWKM0enTpxURESEvr/T3TxGu0nHw4EEVKVLkTpcBAAAAIIPYv3+/ChcunG474SodgYGBki4/gUFBQXe4GgAAAAB3SkJCgooUKeLICOkhXKUj9VDAoKAgwhUAAACA654uxIAWAAAAAGADwhUAAAAA2IBwBQAAAAA2IFwBAAAAgA0IVwAAAABgA8IVAAAAANiAcAUAAAAANiBcAQAAAIANMly4Gj16tKpVq6bAwEDlz59fLVu2VExMjFOfunXryrIsp9sTTzzh1Gffvn1q1qyZcubMqfz582vw4MFKSkq6nasCAAAAIBvJcacLuNqyZcvUp08fVatWTUlJSfrvf/+rRo0aadu2bcqVK5ejX69evfTyyy877ufMmdPxd3Jyspo1a6bw8HCtWrVKhw4dUpcuXeTj46PXXnvttq4PAAAAgOzBMsaYO13EtRw7dkz58+fXsmXL9MADD0i6vOeqUqVKGjt2rMt55s2bp4cfflgHDx5UgQIFJEkff/yxhg4dqmPHjsnX1/e6j5uQkKDg4GDFx8crKCjItvUBAAAAkLm4mw0y3GGBV4uPj5ckhYSEOE3/6quvlC9fPpUrV07PP/+8zp0752hbvXq1ypcv7whWktS4cWMlJCTor7/+cvk4iYmJSkhIcLoBAAAAgLsy3GGBV0pJSdGzzz6rWrVqqVy5co7pnTp1UmRkpCIiIrRlyxYNHTpUMTEx+uGHHyRJhw8fdgpWkhz3Dx8+7PKxRo8erZEjR96iNQEAAACQ1WXocNWnTx9t3bpVK1ascJreu3dvx9/ly5dXwYIFVb9+fe3evVvFixf36LGef/55DRgwwHE/ISFBRYoU8axwAAAAANlOhj0ssG/fvpozZ46WLFmiwoULX7Nv9erVJUm7du2SJIWHh+vIkSNOfVLvh4eHu1yGn5+fgoKCnG4AAAAA4K4MF66MMerbt69+/PFHLV68WMWKFbvuPJs2bZIkFSxYUJIUHR2tP//8U0ePHnX0WbhwoYKCgnT33XffkroBAAAAZG8Z7rDAPn36aNq0aZo1a5YCAwMd50gFBwcrICBAu3fv1rRp09S0aVOFhoZqy5Yt6t+/vx544AFVqFBBktSoUSPdfffdevzxx/Xmm2/q8OHDevHFF9WnTx/5+fndydUDAAAAkEVluKHYLctyOX3SpEnq1q2b9u/fr8cee0xbt27V2bNnVaRIEbVq1Uovvvii06F8//zzj5588kktXbpUuXLlUteuXfX6668rRw738iRDsQMAAACQ3M8GGS5cZRSEKwAAAACS+9kgwx0WCABAVmVZXPID9jFm+J0uAcBVMtyAFgAAAACQGRGuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAb5LiZmZOSknTw4EEdO3ZMkhQWFqaIiAjlyHFTiwUAAACATOeGU9DBgwc1ZcoULVy4UGvWrNGFCxec2v39/XXfffepYcOG6tq1qwoVKmRbsQAAAACQUVnGGONOx82bN2v48OGaO3eukpOTJUnpzWpZliTJy8tLzZo108iRI1WxYkWbSr49EhISFBwcrPj4eAUFBd3pcgAAWYBljbzTJSALMWb4nS4ByDbczQZunXPVqVMnValSRT/99JOSkpJkjEk3WElytCcnJ+unn35SlSpV1Llz5xtfCwAAAADIJNzac+Xl9b8MFhQUpIcffljR0dGqVq2aChcurNDQUBljdPLkSe3fv1/r1q3T6tWrNWfOHCUkJFx+IMty7PHKDNhzBQCwG3uuYCf2XAG3j7vZwO1wVadOHT3zzDNq2rSpfH193Sri4sWLmjt3rsaOHavffvuNcAUAyNYIV7AT4Qq4fdzNBm4NaLF27VpVrVr1hovw9fVVy5Yt1bJlS61bt+6G5wcAAACAzMKtc648CVa3YhkAAAAAkFHZfhHhuLg4JSYmejz/6NGjVa1aNQUGBip//vxq2bKlYmJinPpcuHBBffr0UWhoqHLnzq02bdroyJEjTn327dunZs2aKWfOnMqfP78GDx6spKQkj+sCAAAAgGvxKFzFxMRowoQJmjBhguMCwsuXL1exYsWUL18+5cmTR0OGDPGooGXLlqlPnz76/ffftXDhQl26dEmNGjXS2bNnHX369++vn376Sd9++62WLVumgwcPqnXr1o725ORkNWvWTBcvXtSqVas0ZcoUTZ48WcOGDfOoJgAAAAC4Hrevc3WlgQMH6t1335Wfn59Onjwpb29vFS5cWCdOnHAM0W5ZlqZMmaLHHnvspgo8duyY8ufPr2XLlumBBx5QfHy8wsLCNG3aND366KOSpB07dqhs2bJavXq1atSooXnz5unhhx/WwYMHVaBAAUnSxx9/rKFDh+rYsWNuDcjBgBYAALsxoAXsxIAWwO1j63WurrZmzRpJ0v3336+AgAAtWbJEx48fd+pjjNHUqVM9WbyT+Ph4SVJISIgkaf369bp06ZIaNGjg6FOmTBkVLVpUq1evliStXr1a5cuXdwQrSWrcuLESEhL0119/uXycxMREJSQkON0AAAAAwF0ehau9e/fKsiyVKVNGkhwjAZYsWVIbNmxQuXLlJElbtmy5qeJSUlL07LPPqlatWo5lHj58WL6+vsqTJ49T3wIFCujw4cOOPlcGq9T21DZXRo8ereDgYMetSJEiN1U7AAAAgOzFo3B14sQJSVJERISky+dgWZalJk2aqFKlSo7zn+Li4m6quD59+mjr1q2aPn36TS3HHc8//7zi4+Mdt/3799/yxwQAAACQdbh1naurWZYlSTp58qQkadu2bZIu77mSJG9vb0lSQECAx4X17dtXc+bM0fLly1W4cGHH9PDwcF28eFGnTp1y2nt15MgRhYeHO/qsXbvWaXmpowmm9rman5+f/Pz8PK4XAAAAQPbm0Z6r1LDz+eef66mnntKGDRskSffcc48k6eDBg5Kk/Pnz3/CyjTHq27evfvzxRy1evFjFihVzaq9SpYp8fHy0aNEix7SYmBjt27dP0dHRkqTo6Gj9+eefOnr0qKPPwoULFRQUpLvvvvuGawIAAACA6/Foz9WDDz6oXbt2KS4uTp988okkKXfu3KpRo4Ykafv27U7nZN2IPn36aNq0aZo1a5YCAwMd50gFBwcrICBAwcHB6tmzpwYMGKCQkBAFBQWpX79+io6Odjx+o0aNdPfdd+vxxx/Xm2++qcOHD+vFF19Unz592DsFAAAA4JbwaM/VCy+8oHz58skYI2OMLMvSK6+8In9/fx09elQrVqyQJNWsWfOGl/3RRx8pPj5edevWVcGCBR23GTNmOPq8++67evjhh9WmTRs98MADCg8P1w8//OBo9/b21pw5c+Tt7a3o6Gg99thj6tKli15++WVPVhcAAAAArsuj61xJl68/9f333+vChQuqVauWqlWrJkk6dOiQli9fLkmqXbu2ChUqZF+1txHXuQIA2I3rXMFOXOcKuH3czQYeh6usjnAFALAb4Qp2IlwBt4+72cCjc66utHXrVq1atUrHjh1T/fr1Hec9AQAAAEB24nG4Onr0qLp06aKFCxc6pgUEBCg2NlbdunWTZVnatGmT4+K/AAAAAJCVeTSgxblz51SvXj1HsLryyMK2bdsqICBAxhh999139lQJAAAAABmcR+Fq3LhxjgsHX33Klr+/v+rWrStjjGNgCwAAAADI6jwKV99++60kKV++fFq7dm2a9vLly0uSduzYcROlAQAAAEDm4VG4io2NlWVZ6tq1q6pWrZqmPTg4WJJ04sSJm6sOAAAAADIJj8JVcnKyJCkwMNBl+5EjRyRJvr6+HpYFAAAAAJmLR+EqIiJCkjR//vw0bWfOnNEPP/wgSSpcuPBNlAYAAAAAmYdH4apOnToyxmj16tWqX7++Y/qsWbNUpUoV7d+/X5ZlqW7dunbVCQAAAAAZmkfh6plnnlGOHJcvkbV06VJZliVJWrFihXbt2iVJypEjh/r162dTmQAAAACQsXkUripUqKBx48bJsqw0Q7EbY2RZlsaNG6e7777bliIBAAAAIKPzKFxJ0pNPPqnly5erVatWCgsLk7e3t8LCwtSyZUstX75cTzzxhJ11AgAAAECGluNmZq5Zs6Zq1qxpVy0AAAAAkGl5FK569OghSerQoYMaNWqUpn3Xrl3asmWLJKl169Y3UR4AAAAAZA4ehavJkyfLsiyVK1fOZbiaNWuWBg8eLC8vLyUlJd10kQAAAACQ0Xl8ztW1pAaqqwe7AAAAAICsyu09V/v27UszLS4uLs30c+fOOS4unDpEOwAAAABkdZZxc/eSl5eXIyylznKt8GSMUWhoqI4dO2ZDmbdfQkKCgoODFR8fr6CgoDtdDgAgC7CskXe6BGQhxgy/0yUA2Ya72eCGz7m6Moull8ssy5JlWapTp86NLh4AAAAAMqUbClfunkNljFHlypX1zjvveFQU0uLXTtiJXzsBAADs53a4WrJkiaTLwalevXqyLEtPPPGE2rVr59TPx8dHhQoVUmRkpL2VAgAAAEAG5na4uvoQP2OMihcvzqF/AAAAACAPr3OVkpJidx0AAAAAkKl5FK5cDcuenqJFi3ryEAAAAACQqXgUrqKioty6hpVlWY4LCgMAAABAVuZRuErl7uiBAAAAAJDVeXk64/WucQUAAAAA2YlHe65Sh2W/UmJiomJjYzV+/HjFxMSoWbNmGjRo0E0XCAAAAACZgUfhKr3h1xs1aqTHHntM5cqV09y5c9W7d++bKg4AAAAAMguPDwtMT3BwsGrVqiVjjF5//XW7Fw8AAAAAGZLt4SohIUFr166VJG3atMnuxQMAAABAhuTRYYH16tVLM80Yo/PnzysmJkYJCQmSJH9//5urDgAAAAAyCY/C1dKlS9MdEdAY4xgxsFGjRjdVHAAAAABkFh5f5+pa17gyxqhkyZJ66623PF08AAAAAGQqHoWrrl27upzu5eWlPHnyqFq1amrVqpX8/PxuqjgAAAAAyCw8CleTJk2yuw4AAAAAyNRsHy0QAAAAALIjj8+5kqTDhw9r/fr1iouLU0pKiss+Xbp0uZmHAAAAAIBMwaNwdfHiRfXu3VtfffVVuqEqFeEKAAAAQHbgUbh64YUXNHXqVMd9V8Oypw7JDgAAAADZgUfhavr06Y7gZIy55rDsAAAAAJAdeDSgxbFjxyRJUVFR2rRpk86fP6+UlJQ0t+TkZFuLBQAAAICMyqNwFRkZKUnq3LmzKlSowPWsAAAAAGR7HoWrLl26yBij7du3210PAAAAAGRKHoWrwYMHq3bt2vrhhx80aNAg7d69m0MAAQAAAGRrHg1oERAQIOnyYBbvvvuu3n33XZf9LMtSUlKS59UBAAAAQCbhUbhKHWb9yhEDAQAAACA78yhcSQQqAAAAALiSR+Fq0qRJdtcBAAAAAJmaR+Gqa9eudtcBAAAAAJmaR6MFAgAAAACcubXnaurUqZKkatWqqWzZso777ujSpYtnlQEAAABAJuJWuOrWrZssy9KYMWNUtmxZx313EK4AAAAAZAe37LBARhMEAAAAkJ24PaDF1WGJ8AQAAAAA/+NWuEpJSbnmfQAAAADI7hgtEAAAAABsQLgCAAAAABt4dBFhSYqJidG4ceP0xx9/KC4uzuWhgpZlaffu3TdVIAAAAABkBh6FqxUrVqhRo0ZKTEyUlHZwC8uyZIxxe7h2AAAAAMjsPDos8Pnnn9eFCxckuR41kJEEAQAAAGQ3Hu25Wr9+vSzLkre3tx599FEVL15cOXJ4fIQhAAAAAGR6HiWi3LlzKzExUU8//bTeeustu2sCAAAAgEzHo8MCmzdvLmOMTpw4YXc9AAAAAJApebTn6o033tCSJUs0depUBQUFqW3btoqIiHB5aGDRokVvukgAAAAAyOg8Clf58uXT66+/rg4dOuiDDz7QBx984LKfZVlKSkq6qQIBAAAAIDPwKFzNnz9fnTt3dgy1zuiAAAAAALI7j865GjZsmJKTkyURrAAAAABA8nDP1datW2VZlnLnzq2+ffsqKipKvr6+dtcGAAAAAJmGR+EqLCxM+/fvV79+/TRq1Ci7awIAAACATMejwwK7du0qY4z27Nljdz0AAAAAkCl5tOeqc+fOmjt3rqZPn67AwEB17txZERER8vHxSdOXodgBAAAAZAcehasyZcrIsiwZY/Tpp5/q008/ddmPodgBAAAAZBcehatUDMUOAAAAAJd5HK4IVAAAAADwPx6FqyVLlthdBwAAAABkah6Fqzp16thdB4BszrJG3ukSkMUYM/xOlwAAyGY8GoodAAAAAODMrXD1/fff3/QD/fDDD271W758uZo3b66IiAhZlqWZM2c6tXfr1k2WZTndmjRp4tTn5MmT6ty5s4KCgpQnTx717NlTZ86cuel1AAAAAID0uBWu2rZtq9KlS+v999/X4cOH3V74sWPHNH78eJUtW1bt2rVza56zZ8+qYsWKGj9+fLp9mjRpokOHDjluX3/9tVN7586d9ddff2nhwoWaM2eOli9frt69e7tdNwAAAADcKLfPudq1a5eeffZZDRgwQDVq1FDNmjVVtWpVFSlSRCEhIZKkuLg47d+/Xxs2bNDq1au1YsUKpaSkyBjjGLb9eh566CE99NBD1+zj5+en8PBwl23bt2/XL7/8oj/++ENVq1aVJL3//vtq2rSp3nrrLUVERLicLzExUYmJiY77CQkJbtULAAAAAJKb4WrIkCF6//33df78eSUnJ2vVqlVatWrVdedLHa7d399fzzzzzM1VeoWlS5cqf/78yps3r+rVq6dRo0YpNDRUkrR69WrlyZPHEawkqUGDBvLy8tKaNWvUqlUrl8scPXq0Ro7khHoAAAAAnnHrsMDXX39du3btUt++fRUcHCxjjFu3wMBAPfXUU4qNjdXo0aNtKbhJkyaaOnWqFi1apDfeeEPLli3TQw89pOTkZEnS4cOHlT9/fqd5cuTIoZCQkGse0vj8888rPj7ecdu/f78t9QIAAADIHtw+LLBgwYJ677339Oabb+qHH37QggUL9Ntvv2nv3r2OPVSWZalo0aKqVauWGjZsqLZt2ypnzpy2FtyhQwfH3+XLl1eFChVUvHhxLV26VPXr1/d4uX5+fvLz87OjRAAAAADZ0A1f58rf31+dOnVSp06dJEkpKSk6ceKEJCkkJETe3t72Vngdd911l/Lly6ddu3apfv36Cg8P19GjR536JCUl6eTJk+mepwUAAAAAN+umr3Pl5eWlsLAwhYWF3fZgJUkHDhzQiRMnVLBgQUlSdHS0Tp06pfXr1zv6LF68WCkpKapevfptrw8AAABA9nDDe65utTNnzmjXrl2O+3v27NGmTZsUEhKikJAQjRw5Um3atFF4eLh2796tIUOGqESJEmrcuLEkqWzZsmrSpIl69eqljz/+WJcuXVLfvn3VoUOHdEcKBAAAAICbddN7ruy2bt06Va5cWZUrV5YkDRgwQJUrV9awYcPk7e2tLVu26JFHHlGpUqXUs2dPValSRb/99pvT+VJfffWVypQpo/r166tp06aqXbu2JkyYcKdWCQAAAEA2kOH2XNWtW9cxQIYr8+fPv+4yQkJCNG3aNDvLAgAAAIBrynB7rgAAAAAgMyJcAQAAAIANCFcAAAAAYAPCFQAAAADY4KYHtNi6datWrVqlY8eOqX79+qpRo4YddQEAAABApuJxuDp69Ki6dOmihQsXOqYFBAQoNjZW3bp1k2VZ2rRpk8qVK2dLoQAAAACQkXl0WOC5c+dUr149R7C6cuj0tm3bKiAgQMYYfffdd/ZUCQAAAAAZnEfhaty4cdq2bZskpbkmlb+/v+NaVcuXL7/5CgEAAAAgE/AoXH377beSpHz58mnt2rVp2suXLy9J2rFjx02UBgAAAACZh0fhKjY2VpZlqWvXrqpatWqa9uDgYEnSiRMnbq46AAAAAMgkPApXycnJkqTAwECX7UeOHJEk+fr6elgWAAAAAGQuHoWriIgISdL8+fPTtJ05c0Y//PCDJKlw4cI3URoAAAAAZB4ehas6derIGKPVq1erfv36jumzZs1SlSpVtH//flmWpbp169pVJwAAAABkaB6Fq2eeeUY5cly+RNbSpUtlWZYkacWKFdq1a5ckKUeOHOrXr59NZQIAAABAxuZRuKpQoYLGjRsny7LSDMVujJFlWRo3bpzuvvtuW4oEAAAAgIzOo3AlSU8++aSWL1+uVq1aKSwsTN7e3goLC1PLli21fPlyPfHEE3bWCQAAAAAZWo6bmblmzZqqWbOmXbUAAAAAQKbl8Z4rAAAAAMD/eLzn6uLFi5o5c6b++OMPxcXFKSUlJU0fy7I0ceLEmyoQAAAAADIDj8LVgQMH1KBBA8XGxqbbJ3VgC8IVAAAAgOzAo3A1YMAA7dy50+5aAAAAACDT8ihc/frrr45h2CMiIlSsWDHHda8AAAAAIDvyKBElJSVJktq2basZM2bYWhAAAAAAZEYejRaYOvx6ZGSkrcUAAAAAQGblUbh67bXX5OPjo08++UQ//vijjDF21wUAAAAAmYpHhwXee++9mjFjhlq1aqVHH31UPj4+yp8/f5rzrizL0u7du20pFAAAAAAyMo/CVWxsrP7v//7PMajFxYsXdeDAAUd76nTLsmwrFAAAAAAyMo8OCxw4cKCOHj2abjuHCQIAAADIbjzac7Vs2TLH3qno6GhFRUXJ19fX7toAAAAAINPwKFylBqlevXrpk08+sbUgAAAAAMiMPDossGnTpjLGKFeuXHbXAwAAAACZkkfh6o033lBUVJQmTJig6dOnKyUlxe66AAAAACBT8eiwwJo1a+r06dM6d+6cOnfurK5duyp//vzy8fFx6sdQ7AAAAACyC4/C1d69e2VZlmNQi0uXLunff/91tDMUOwAAAIDsxqNwJV17uHWGYgcAAACQ3XgUroYPH253HQAAAACQqRGuAAAAAMAGHo0WCAAAAABw5taeq+XLl0uSihcvrkKFCjnuu+OBBx7wrDIAAAAAyETcCld169aVZVkaM2aMBgwY4Lh/PZZlKSkp6aaLBAAAAICMzuPRAqX0RwVMHYodAAAAALILt8+5ujosMRQ7AAAAAPyPW3uu9uzZI0kKCQlxug8AAAAAuMytcBUZGal9+/YpLi5OlmUpMjLyVtcFAAAAAJmK24cFRkVFqVixYpowYcKtrAcAAAAAMiWucwUAAAAANiBcAQAAAIANCFcAAAAAYIMbvs7VunXrNHXqVLf7d+nS5UYfAgAAAAAynRsOVzNmzNCMGTPc7k+4AgAAAJAd3HC4cucCwZZlyRgjy7I8KgoAAAAAMptbcs6VOwEMAAAAALKSG95z9eSTT6pdu3a3ohYAAAAAyLRuOFwVL15cderUuRW1AAAAAECmxVDsAAAAAGADwhUAAAAA2OCGwhUDVQAAAACAa26fc5WSknIr6wAAAACATI3DAgEAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGzg9nWurnbx4kXNnDlTf/zxh+Li4lxeB8uyLE2cOPGmCgQAAACAzMCjcHXgwAE1aNBAsbGx6fYxxhCuAAAAAGQbHoWrAQMGaOfOnXbXAgAAAACZlkfh6tdff5VlWTLGKH/+/CpWrJj8/PxkWZbd9QEAAABApuBRuEpMTJQk1a5dW4sXL1aOHB6fugUAAAAAWYJHowWWK1dOkvTggw8SrAAAAABAHoar/v37yxijBQsWKDk52e6aAAAAACDT8Wi3U0REhGrXrq2VK1fq/vvvV8+ePRUVFSUfH580fR944IGbLhIAAAAAMjqPwlXdunUdA1qsWbNGa9ascdnPsiwlJSXdVIEAAAAAkBnc1AlTV44OaIxxmn7lfQAAAADI6jwOV9cKTwQrAAAAANmNR+Fqz549dtcBAAAAAJmaR+EqMjLS7joAAAAAIFPzaCj2K8XFxWn+/PmaPn265s+fr7i4uJta3vLly9W8eXNFRETIsizNnDnTqd0Yo2HDhqlgwYIKCAhQgwYNFBsb69Tn5MmT6ty5s4KCgpQnTx717NlTZ86cuam6AAAAAOBaPA5X586d03/+8x8VKFBATZs2VefOndW0aVMVKFBAvXr10rlz5zxa7tmzZ1WxYkWNHz/eZfubb76p9957Tx9//LHWrFmjXLlyqXHjxrpw4YKjT+fOnfXXX39p4cKFmjNnjpYvX67evXt7VA8AAAAAuMOjwwKTk5PVpEkTrVy5Ms3gFUlJSfr888+1c+dOLVmyRF5eN5bfHnroIT300EMu24wxGjt2rF588UW1aNFCkjR16lQVKFBAM2fOVIcOHbR9+3b98ssv+uOPP1S1alVJ0vvvv6+mTZvqrbfeUkREhAdrDAAAAADX5tGeq0mTJmnFihXpthtjtGLFCk2aNMnjwlzZs2ePDh8+rAYNGjimBQcHq3r16lq9erUkafXq1cqTJ48jWElSgwYN5OXlle71uCQpMTFRCQkJTjcAAAAAcJdH4WratGmOv9u1a6eff/5Z69at088//6y2bds62r766qubr/AKhw8fliQVKFDAaXqBAgUcbYcPH1b+/Pmd2nPkyKGQkBBHH1dGjx6t4OBgx61IkSK21g4AAAAga/PosMAtW7bIsiw1btxY06dPd2p76KGHlJCQoPnz52vLli22FHk7PP/88xowYIDjfkJCAgELAAAAgNs82nOVeshcjRo1XLanTj99+rSHZbkWHh4uSTpy5IjT9CNHjjjawsPDdfToUaf2pKQknTx50tHHFT8/PwUFBTndAAAAAMBdHoWr4OBgSXKc53S11Ol2B5RixYopPDxcixYtckxLSEjQmjVrFB0dLUmKjo7WqVOntH79ekefxYsXKyUlRdWrV7e1HgAAAABI5dFhgRUrVtTixYu1YMECderUSV26dFGBAgV05MgRTZkyRQsWLJBlWapYseINL/vMmTPatWuX4/6ePXu0adMmhYSEqGjRonr22Wc1atQolSxZUsWKFdNLL72kiIgItWzZUpJUtmxZNWnSRL169dLHH3+sS5cuqW/fvurQoQMjBQIAAAC4ZTwKV506ddLixYslSTNmzNCMGTNc9uvcufMNL3vdunV68MEHHfdTz4Pq2rWrJk+erCFDhujs2bPq3bu3Tp06pdq1a+uXX36Rv7+/Y56vvvpKffv2Vf369eXl5aU2bdrovffeu+FaAAAAAMBdlrn6QlVuSElJ0YMPPqjffvtNlmU5Xesq9X6dOnW0aNGiG77OVUaRkJCg4OBgxcfHZ4jzryxr5J0uAVmIMcPvdAlp8BqH3XidI6vLiK9xIKtyNxt4lHy8vLw0b948de/ePU148vLyUs+ePfXzzz9n2mAFAAAAADfKo8MCJSlnzpyaOHGixowZo7Vr1+rkyZMKCQnRfffdp5CQEDtrBAAAAIAMz+NwlSokJERNmjSxoxYAAAAAyLTcClf79u2TdDlI5c6d23HfHUWLFvWsMgAAAADIRNwKV1FRUbIsS2+99Zb69+/vuH89lmUpKSnpposEAAAAgIzuhg4LvHpgQQ8GGgQAAACALMnt4fwIVgAAAACQPrf2XC1ZskSSVLx4caf7AAAAAIDL3ApXderUueZ9AAAAAMjuPBqKvUePHpKkDh06qFGjRmnad+3apS1btkiSWrdufRPlAQAAAEDm4FG4mjx5sizLUrly5VyGq1mzZmnw4MHy8vJitEAAAAAA2YLbA1rciNRAxaAXAAAAALILt/dcubpwcFxcXJrp586d0/z58yXJrWthAQAAAEBW4Ha4uvrCwcYYvfbaa3rttdfSnSdv3rw3Vx0AAAAAZBI3fM7VlYf6pXfYn2VZsiyLUQUBAAAAZBs3dM6Vu+dQGWNUqVIlvfPOOx4VBQAAAACZjdt7rlIvHGyMUb169WRZlp544gm1a9fOqZ+Pj48KFSqkyMhIeysFAAAAgAzM7XB19SF+xhgVL16cQ/8AAAAAQB5e5yolJcXuOgAAAAAgU/MoXLkalj09RYsW9eQhAAAAACBT8ShcXT0se3osy3JcUBgAAAAAsjKPwlUqd0cPBAAAAICs7oaGYr/S9a5xBQAAAADZiUd7rlKHZb9SYmKiYmNjNX78eMXExKhZs2YaNGjQTRcIAAAAAJmBR+EqveHXGzVqpMcee0zlypXT3Llz1bt375sqDgAAAAAyC48PC0xPcHCwatWqJWOMXn/9dbsXDwAAAAAZku3hKiEhQWvXrpUkbdq0ye7FAwAAAECG5NFhgfXq1UszzRij8+fPKyYmRgkJCZIkf3//m6sOAAAAADIJj8LV0qVL0x0R0BjjGDGwUaNGN1UcAAAAAGQWHl/n6lrXuDLGqGTJknrrrbc8XTwAAAAAZCoehauuXbu6nO7l5aU8efKoWrVqatWqlfz8/G6qOAAAAADILDwKV5MmTbK7DgAAAADI1GwfLRAAAAAAsiOP9lwtWrRIP//8syTp2WefVdGiRR1t+/fv17vvvitJatq0qRo0aGBDmQAAAACQsXkUrj744APNnj1bZcqU0TvvvOPUVqRIES1ZskRbtmzRrl27CFcAAAAAsgWPDgvcsGGDJNfXu5KkunXryhijjRs3el4ZAAAAAGQiHoWro0ePSpLCwsJctufNm1eSdOzYMQ/LAgAAAIDMxaNw5evrK0natGmTy/bU6QzFDgAAACC78ChcFS9eXMYYzZ49WzNmzHBqmzFjhmbNmiXLsnTXXXfZUiQAAAAAZHQehauGDRtKklJSUtSpUyeVK1dOzZs3V7ly5dSpUycZYyRJjRs3tq9SAAAAAMjAPApXTz/9tAIDA2VZlowx2rZtm+bOnatt27Y5glVgYKD69etna7EAAAAAkFF5FK4KFSqkr7/+WgEBAY5pqaFKkgICAjR9+nQVKlTo5isEAAAAgEzAo+tcSZcvELxt2zaNGzdOK1eu1MmTJxUSEqLatWvr6aefdrqwMAAAAABkdR6HK0kqWrSo3n77bbtqAQAAAIBM66bCVaqdO3fq2LFjioqK4lBAAAAAANmSR+dcSZfPsXr99deVP39+lS1bVg888IBmzJihmTNnql69eqpfv76OHDliZ60AAAAAkGF5HK46duyoF154QSdOnHAazKJWrVr67bfftHTpUn3zzTe2FAkAAAAAGZ1H4WratGmO4HRlsJKksLAwVa9eXZK0aNGimywPAAAAADIHj8LVxIkTJUk+Pj56880307RXrVpVxhht2bLl5qoDAAAAgEzCo3C1ceNGWZalxx9/XIMGDUrTHh4eLkk6fPjwzVUHAAAAAJmER+Hq7NmzkqRixYq5bD99+rSktIcMAgAAAEBW5VG4Cg0NlaR0D/tbuHChJCl//vwelgUAAAAAmYtH4eq+++6TMUbfffedRo4c6Zi+detWdezYUevWrZNlWY6BLQAAAAAgq/PoIsI9e/bU7NmzZYzRyy+/LOnyIYBTpkxx6tejR4+brxAAAAAAMgGP9lw1b95cjz32mOOcKsuyZFmWpP+dZ/X444+rSZMmNpUJAAAAABmbxxcRnjJlil577TWFhobKGOO4hYaG6tVXX9WkSZPsrBMAAAAAMjSPDguULu+teu655zR06FDFxMTo5MmTCgkJUenSpR17sQAAAAAgu/AoXJ04ccIxYqBlWSpTpozLfps2bVKlSpU8Lg4AAAAAMguPDgusUKGCFi9efM0+b731lqKjoz0qCgAAAAAyG4/C1aFDh9SoUSMNHTpUSUlJTm2HDx92tF28eNGWIgEAAAAgo/N4QAtjjGPv1K5duyRJs2fPVoUKFbRo0SLHqIEAAAAAkB14FK7+85//OMLT+vXrVblyZbVq1UqtWrXS8ePHZYxRzpw59d5779laLAAAAABkVB6FqwkTJmjevHkqWLCgJOns2bOOiwpLUvXq1bVx40b16dPHvkoBAAAAIAPz+LDAxo0ba/HixcqdO7fT0Ot33323Fi9erJIlS9pSIAAAAABkBh6Hq2+++Ua1a9fW2bNnJV0+B8uyLG3fvl01atTQ5s2bbSsSAAAAADI6j8JV27Zt1bFjR8f5VXnz5lWPHj0ce7D+/PNPVa9eXaNGjbK1WAAAAADIqDwKV99//73j77p162rz5s367LPPtGjRIhUuXFiSdPHiRQ0fPtyeKgEAAAAgg/P4sEBvb2+99tprWrRokQoVKiRJqlOnjjZv3qw2bdrYViAAAAAAZAYehavixYtr1apVeu6555wGs5CkPHny6Ntvv9Vnn32mnDlz2lIkAAAAAGR0OTyZadOmTcqVK9c1+/To0UN16tTxqCgAAAAAyGw82nN1vWCVqnjx4p4sHgAAAAAyHbfDVY8ePdSjRw8tWLDAMe3ff//V8uXLtXz5cqe+n332me666y7CFQAAAIBsw+3DAidPnizLslSuXDk1atRIkjR9+nQNHjxYXl5eSkpKcvSNj4/X3r1705yPBQAAAABZlcejBV7JGGPHYgAAAAAg07IlXAEAAABAdke4AgAAAAAbEK4AAAAAwAY3fJ2rdevWaerUqY6/U6VOu3o6AAAAAGQHNxyuZsyYoRkzZjhNM8aoe/futhV1LSNGjNDIkSOdppUuXVo7duyQJF24cEEDBw7U9OnTlZiYqMaNG+vDDz9UgQIFbkt9AAAAALInjw4LNMY4Rgi0LEuWZTmm3Y6RA++55x4dOnTIcVuxYoWjrX///vrpp5/07bffatmyZTp48KBat259y2sCAAAAkL3d0J6rq4NTekHqVgesHDlyKDw8PM30+Ph4TZw4UdOmTVO9evUkSZMmTVLZsmX1+++/q0aNGre0LgAAAADZl9vhasmSJbeyjhsSGxuriIgI+fv7Kzo6WqNHj1bRokW1fv16Xbp0SQ0aNHD0LVOmjIoWLarVq1dfM1wlJiYqMTHRcT8hIeGWrgMAAACArMXtcFWnTp1bWYfbqlevrsmTJ6t06dI6dOiQRo4cqfvvv19bt27V4cOH5evrqzx58jjNU6BAAR0+fPiayx09enSac7kAAAAAwF03PKDFnfbQQw85/q5QoYKqV6+uyMhIffPNNwoICPB4uc8//7wGDBjguJ+QkKAiRYrcVK0AAAAAso9Mf52rPHnyqFSpUtq1a5fCw8N18eJFnTp1yqnPkSNHXJ6jdSU/Pz8FBQU53QAAAADAXZk+XJ05c0a7d+9WwYIFVaVKFfn4+GjRokWO9piYGO3bt0/R0dF3sEoAAAAAWV2mOyxw0KBBat68uSIjI3Xw4EENHz5c3t7e6tixo4KDg9WzZ08NGDBAISEhCgoKUr9+/RQdHc1IgQAAAABuqUwXrg4cOKCOHTvqxIkTCgsLU+3atfX7778rLCxMkvTuu+/Ky8tLbdq0cbqIMAAAAADcSpkuXE2fPv2a7f7+/ho/frzGjx9/myoCAAAAgCxwzhUAAAAAZASEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAGxCuAAAAAMAGhCsAAAAAsAHhCgAAAABsQLgCAAAAABsQrgAAAADABoQrAAAAALAB4QoAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAAAAAG+S40wUAAAAga7CskXe6BGQhxgy/0yXcMPZcAQAAAIANCFcAAAAAYAPCFQAAAADYgHAFAAAAADYgXAEAAACADQhXAAAAAGADwhUAAAAA2IBwBQAAAAA2IFwBAAAAgA0IVwAAAABgA8IVAAAAANiAcAUAAAAANiBcAQAAAIANCFcAAAAAYAPCFQAAAADYgHAFAAAAADYgXAEAAACADQhXAAAAAGADwhUAAAAA2IBwBQAAAAA2IFwBAAAAgA0IVwAAAABgA8IVAAAAANiAcAUAAAAANiBcAQAAAIANCFcAAAAAYAPCFQAAAADYgHAFAAAAADYgXAEAAACADQhXAAAAAGADwhUAAAAA2IBwBQAAAAA2IFwBAAAAgA0IVwAAAABgA8IVAAAAANiAcAUAAAAANiBcAQAAAIANCFcAAAAAYIMsHa7Gjx+vqKgo+fv7q3r16lq7du2dLgkAAABAFpVlw9WMGTM0YMAADR8+XBs2bFDFihXVuHFjHT169E6XBgAAACALyrLh6p133lGvXr3UvXt33X333fr444+VM2dOff7553e6NAAAAABZUI47XcCtcPHiRa1fv17PP/+8Y5qXl5caNGig1atXu5wnMTFRiYmJjvvx8fGSpISEhFtbrNsu3OkCkIVknNf1lXiNw168zpHV8RpHVpeRXuOptRhjrtkvS4ar48ePKzk5WQUKFHCaXqBAAe3YscPlPKNHj9bIkSPTTC9SpMgtqRG4k4KDX7/TJQC3HK9zZHW8xpHVZcTX+OnTpxUcHJxue5YMV554/vnnNWDAAMf9lJQUnTx5UqGhobIs6w5WBnclJCSoSJEi2r9/v4KCgu50OYDteI0jO+B1jqyO13jmZIzR6dOnFRERcc1+WTJc5cuXT97e3jpy5IjT9CNHjig8PNzlPH5+fvLz83OalidPnltVIm6hoKAgNlbI0niNIzvgdY6sjtd45nOtPVapsuSAFr6+vqpSpYoWLVrkmJaSkqJFixYpOjr6DlYGAAAAIKvKknuuJGnAgAHq2rWrqlatqvvuu09jx47V2bNn1b179ztdGgAAAIAsKMuGq/bt2+vYsWMaNmyYDh8+rEqVKumXX35JM8gFsg4/Pz8NHz48zeGdQFbBaxzZAa9zZHW8xrM2y1xvPEEAAAAAwHVlyXOuAAAAAOB2I1wBAAAAgA0IVwAAAABgA8IVsoS9e/fKsixt2rTpTpdy07LSugBAdmJZlmbOnHmny0AWNmLECFWqVMm25S1dulSWZenUqVMZYjlZAeEqE+vWrZssy0pza9KkiaNPVFSUY3pAQICioqLUrl07LV682OUyv//+e9WtW1fBwcHKnTu3KlSooJdfflknT568Zi1LlizRww8/rLCwMPn7+6t48eJq3769li9fbus63wobN25U27ZtVaBAAfn7+6tkyZLq1auXdu7cecsfu1u3bmrZsqXTtCJFiujQoUMqV67cLX98AFnX/v371aNHD0VERMjX11eRkZF65plndOLECZf9v/76a3l7e6tPnz5uLT8qKkpjx451u56M+uWLQHRrrV69Wt7e3mrWrNmdLuWO27Vrl7p3767ChQvLz89PxYoVU8eOHbVu3bo7XdoNqVu3rp599lmnaTVr1tShQ4fcushuVke4yuSaNGmiQ4cOOd2+/vprpz4vv/yyDh06pJiYGE2dOlV58uRRgwYN9Oqrrzr1e+GFF9S+fXtVq1ZN8+bN09atW/X2229r8+bN+uKLL9Kt4cMPP1T9+vUVGhqqGTNmKCYmRj/++KNq1qyp/v37pztfcnKyUlJSbu4JuElz5sxRjRo1lJiYqK+++krbt2/Xl19+qeDgYL300ksu5zHGKCkp6ZbV5O3trfDwcOXIkWWvlJBl3eovs9LlHwPat2+vggULys/PT5GRkXr44Yf1008/6UYHfz18+LCeeeYZlShRQv7+/ipQoIBq1aqljz76SOfOnbuhZSFj+fvvv1W1alXFxsbq66+/1q5du/Txxx9r0aJFio6OdvmD2cSJEzVkyBB9/fXXunDhwh2o2j4Z4fMFl02cOFH9+vXT8uXLdfDgwTtay8WLF+/YY69bt05VqlTRzp079cknn2jbtm368ccfVaZMGQ0cOPCO1WUXX19fhYeHy7KsO13KnWeQaXXt2tW0aNHimn0iIyPNu+++m2b6sGHDjJeXl9mxY4cxxpg1a9YYSWbs2LEulxMXF+dy+j///GN8fHxM//79XbanpKQ4/p40aZIJDg42s2bNMmXLljXe3t5mz549Zu3ataZBgwYmNDTUBAUFmQceeMCsX7/eaTmSzIcffmiaNGli/P39TbFixcy3337raN+zZ4+RZL7//ntTt25dExAQYCpUqGBWrVqV7nNz9uxZky9fPtOyZctrrvOSJUuMJDN37lxz7733Gh8fH7NkyRKTnJxsXnvtNRMVFWX8/f1NhQoVnGpKSkoyPXr0cLSXKlXK6fkdPny4keR0W7JkiWNdNm7c6Oi7dOlSU61aNePr62vCw8PN0KFDzaVLlxztderUMf369TODBw82efPmNQUKFDDDhw9Pd91hv927d5v8+fOb2rVrm6VLl5p//vnHzJ0719xzzz2mZMmS5sSJE2nmqV+/vnnuuedM3rx5zfnz56/7GDNnzjS+vr6madOmZv78+Wb37t1m27Zt5rPPPjMVKlRI932aXr3h4eGmTJkyZsaMGWbbtm1m9+7dZubMmaZp06Zm1qxZN7L6yGCaNGliChcubM6dO+c0/dChQyZnzpzmiSeecJr+999/m4CAAHPq1ClTvXp189VXX133Ma7+fJFkPv30U9OyZUsTEBBgSpQo4XgdpW7Xrrx17drVGGOuuy01xphZs2aZEiVKGD8/P1O3bl0zefJkI8nxmvf08yUyMtKppsjISEfbzJkzTeXKlY2fn58pVqyYGTFihNN2d+fOneb+++83fn5+pmzZsmbBggVGkvnxxx+v+9xlF6dPnza5c+c2O3bsMO3btzevvvpqmj6zZ882VatWNX5+fiY0NNTpM/nChQtmyJAhpnDhwsbX19cUL17cfPbZZ8aY//3Pr/Tjjz+aK7/aDh8+3FSsWNF8+umnJioqyliWZYwxZt68eaZWrVomODjYhISEmGbNmpldu3Y5LWv//v2mQ4cOJm/evCZnzpymSpUq5vfffzd79uwxlmWZP/74w6n/u+++a4oWLWqSk5PTrGNKSoq55557TJUqVVy2X7ntHjJkiClZsqQJCAgwxYoVMy+++KK5ePFimnW60sSJE83dd9/t+I7Qp08fY4xx+X0iLi7O8X3DmP99x0mt4fjx46ZDhw4mIiLCBAQEmHLlyplp06Y55u/atWua9/KePXvSLMcYY7777jtHXZGRkeatt95yqjsyMtK8+uqrpnv37iZ37tymSJEi5pNPPknz/GQ2hKtM7GbC1YkTJ4xlWeaNN94wxhjz9NNPm9y5czu9gd3xzjvvGEnm0KFD1+07adIk4+PjY2rWrGlWrlxpduzYYc6ePWsWLVpkvvjiC7N9+3azbds207NnT1OgQAGTkJDgmFeSCQ0NNZ9++qmJiYkxL774ovH29jbbtm0zxvxvA1KmTBkzZ84cExMTYx599FETGRnp9GF4pR9++MFIumYAM+Z/G54KFSqYBQsWmF27dpkTJ06YUaNGmTJlyphffvnF7N6920yaNMn4+fmZpUuXGmOMuXjxohk2bJj5448/zN9//22+/PJLkzNnTjNjxgxjzOUPnXbt2pkmTZqYQ4cOmUOHDpnExMQ0G8MDBw6YnDlzmqeeesps377d/PjjjyZfvnxO4alOnTomKCjIjBgxwuzcudNMmTLFWJZlFixYcN3/C+xxq7/MnjlzxoSGhppWrVql2+fKHzOuF8gbN25sChcubM6cOXPdZSFzSd2+v/baay7be/XqZfLmzev0P37ppZfMo48+aowx5v333zf16tW77uO4CleFCxc206ZNM7GxsY7PlRMnTpikpCTz/fffG0kmJibGHDp0yJw6dcoYY667Lf3777+Nj4+PGTRokNmxY4f5+uuvTaFChdKEK08+X44ePWokmUmTJplDhw6Zo0ePGmOMWb58uQkKCjKTJ082u3fvNgsWLDBRUVFmxIgRxpjLgbBcuXKmfv36ZtOmTWbZsmWmcuXKhKurTJw40VStWtUYY8xPP/1kihcv7vS6mzNnjvH29jbDhg0z27ZtM5s2bXJ63bZr184UKVLE/PDDD2b37t3m119/NdOnTzfGuB+ucuXKZZo0aWI2bNhgNm/ebIy5/KX/+++/N7GxsWbjxo2mefPmpnz58o7gc/r0aXPXXXeZ+++/3/z2228mNjbWzJgxw/F9oWHDhuapp55yeuwKFSqYYcOGuXweNmzYYCQ5hZT0vPLKK2blypVmz549Zvbs2aZAgQKO72qp63RluPrwww+Nv7+/GTt2rImJiTFr1651vC89CVcHDhwwY8aMMRs3bjS7d+827733nvH29jZr1qwxxhhz6tQpEx0dbXr16uX47pKUlJRmOevWrTNeXl7m5ZdfNjExMWbSpEkmICDATJo0yVFLZGSkCQkJMePHjzexsbFm9OjRTj/8Z1aEq0ysa9euxtvb2+TKlcvpduUvQ+mFK2OMKVCggHnyySeNMcY89NBDpkKFCjdcwxNPPGGCgoKcpn333XdO9WzZssUYc3lDKMls2rTpmstMTk42gYGB5qeffnJMk5Tmy2n16tUd9aduQFJ/0TLGmL/++stIMtu3b3f5OG+88YaRZE6ePHnNelI3GDNnznRMu3DhgsmZM2eaYNazZ0/TsWPHdJfVp08f06ZNG8d9VwH56o3hf//7X1O6dGmnD6Tx48eb3LlzOz4I6tSpY2rXru20nGrVqpmhQ4dec91gj9vxZTb1x4DVq1dft57rBfLjx48by7LM6NGj3VxDZCa///77Nb/kp/4oduTIEWPM5W1ukSJFHNu4Y8eOGV9fX/P3339f83FchasXX3zRcf/MmTNGkpk3b54xJu2XOGPc25YOHTrUlCtXzqn9hRdeSBOububz5ernqn79+mnez1988YUpWLCgMcaY+fPnmxw5cph///3X0T5v3jzC1VVq1qzpOGLj0qVLJl++fI4v9cYYEx0dbTp37uxy3piYGCPJLFy40GW7u+HKx8fHEZrTc+zYMSPJ/Pnnn8YYYz755BMTGBjo8ogDY4yZMWOGyZs3r7lw4YIxxpj169cby7LMnj170u0vyWzYsOGadbgyZswYU6VKFad1ujJcRUREmBdeeMHlvJ6EK1eaNWtmBg4c6Lhfp04d88wzzzj1uXo5nTp1Mg0bNnTqM3jwYHP33Xc77kdGRprHHnvMcT8lJcXkz5/ffPTRR+nWkhlwzlUm9+CDD2rTpk1OtyeeeMKteY0xjmNjzQ2eq3Glq4+vbdy4sTZt2qSff/5ZZ8+eVXJysqPN19dXFSpUcOp/5MgR9erVSyVLllRwcLCCgoJ05swZ7du3z6lfdHR0mvvbt293mnblsgsWLChJOnr0qMu6b3Sdq1at6vh7165dOnfunBo2bKjcuXM7blOnTtXu3bsd/caPH68qVaooLCxMuXPn1oQJE9Ks1/Vs375d0dHRTs9zrVq1dObMGR04cMAx7erntWDBgumuO+wVGxsrY4zKli3rsr1s2bKKi4vTsWPHJEkpKSmaPHmyHnvsMUlShw4dtGLFCu3Zsyfdx0gdYKV06dKOaX/88YfT62/OnDmSLp8HWaRIEX3wwQcqU6aMWrZsqZEjR+rtt99WSkqKdu3aJWOM07IkKV++fI5lDR061PMnBBnC9bZxvr6+kqSFCxfq7Nmzatq0qaTLr4OGDRvq888/v+HHvHI7lCtXLgUFBV1zO+TOtjQmJkbVqlVzmu++++5zuT6efr5cbfPmzXr55ZedaurVq5cOHTqkc+fOafv27SpSpIgiIiIc81z9GZXdxcTEaO3aterYsaMkKUeOHGrfvr0mTpzo6LNp0ybVr1/f5fybNm2St7e36tSpc1N1REZGKiwszGlabGysOnbsqLvuuktBQUGKioqSJMfrYtOmTapcubJCQkJcLrNly5by9vbWjz/+KEmaPHmyHnzwQcdyrnYj3zdmzJihWrVqKTw8XLlz59aLL76Y7uv16NGjOnjwYLrPoSeSk5P1yiuvqHz58goJCVHu3Lk1f/58j7671KpVy2larVq1FBsb6/S98Mr3rGVZCg8Pz/TfXThjPpPLlSuXSpQoccPznThxQseOHVOxYsUkSaVKldKKFSt06dIl+fj4uL2ckiVLKj4+XocPH1Z4eLgkKXfu3CpRooTLARkCAgLShLGuXbvqxIkTGjdunCIjI+Xn56fo6GiPTjy9svbUx0nvpOZSpUpJknbs2OHWh2KuXLkcf585c0aS9PPPP6tQoUJO/fz8/CRJ06dP16BBg/T2228rOjpagYGBGjNmjNasWXMDa+S+q/9vlmVxQvdtZseX2VdeecXtx6tQoYJjyP6SJUs6BlpxN5Bfbe3atUpJSVHnzp2VmJjodh3IWEqUKCHLsrR9+3a1atUqTfv27dsVFhamPHnySLo84MDJkycVEBDg6JOSkqItW7Zo5MiR8vJy/3fYG90OubMtdZedny9nzpzRyJEj1bp16zRt/v7+N1RXdjVx4kQlJSU5BVBjjPz8/PTBBx8oODjY6TV3tWu1SZKXl1eabe6lS5fS9LvysztV8+bNFRkZqU8//VQRERFKSUlRuXLlHK+L6z22r6+vunTpokmTJql169aaNm2axo0bl27/K79vVK5cOd1+q1evVufOnTVy5Eg1btxYwcHBmj59ut5++22X/d15jiTnzyZXz9GVxowZo3Hjxmns2LEqX768cuXKpWefffaWDQaSFb+7sOcqmxo3bpy8vLwcw4B36tRJZ86c0Ycffuiyf3pD5z766KPy8fHRG2+84XEtK1eu1NNPP62mTZvqnnvukZ+fn44fP56m3++//57mfnp7CtzRqFEj5cuXT2+++abL9msNF3z33XfLz89P+/btU4kSJZxuRYoUcaxXzZo19dRTT6ly5coqUaKE014t6fIG+spfcFwpW7asVq9e7bRxXLlypQIDA1W4cGE31xa30pVfZl251pfZHDlyKEeOHJo7d66mTJmS7odKyZIlJV3+NTiVn5+f43XnSb1XLkuS7rrrLpUoUeK6H9jI2EJDQ9WwYUN9+OGHOn/+vFPb4cOH9dVXX6lbt26SLv/QNmvWLE2fPt3pCIiNGzcqLi5OCxYssK2u1B8XrtzmubMtLV26dJqhqv/44w+3HtOdzxcfH5802+F7771XMTExaWoqUaKEvLy8VLZsWe3fv1+HDh1yzHP1Z1R2lpSUpKlTp+rtt992el1t3rxZERERjlGNK1SooEWLFrlcRvny5ZWSkqJly5a5bA8LC9Pp06d19uxZxzR3rg954sQJxcTE6MUXX1T9+vUdRxZcKfWHq2tdhuY///mPfv31V3344YdKSkpyGcRTVapUSXfffbfj6IGrpX7fWLVqlSIjI/XCCy+oatWqKlmypP755590lxsYGKioqKh0n8PUPXZXvk6v9xytXLlSLVq00GOPPaaKFSvqrrvuSnNpGne/u6xcuTLNskuVKiVvb+9rzpvZEa4yucTERB0+fNjpdvUHx+nTp3X48GHt379fy5cvV+/evTVq1Ci9+uqrji9l1atX15AhQzRw4EANGTJEq1ev1j///KNFixapbdu2mjJlisvHL1q0qN5++22NGzdOXbt21ZIlS7R3715t2LBB7733niRd901UsmRJffHFF9q+fbvWrFmjzp07u/xy9+233+rzzz/Xzp07NXz4cK1du1Z9+/b15GmTdPnXrM8++0w///yzHnnkEf3666/au3ev1q1bpyFDhlzz8MrAwEANGjRI/fv315QpU7R7925t2LBB77//vuO5KlmypNatW6f58+dr586deumll9J8IYiKitKWLVsUExOj48ePu/xF6amnntL+/fvVr18/7dixQ7NmzdLw4cM1YMCAG/pFGbfO7fgy26hRI4WEhLj1Q8b1AnlqvR988IHTFxNkHR988IESExPVuHFjLV++XPv379cvv/yihg0bqlSpUho2bJgk6YsvvlBoaKjatWuncuXKOW4VK1ZU06ZNnQ7hulmRkZGyLEtz5szRsWPHdObMGbe2pf/3f/+nHTt2aOjQodq5c6e++eYbTZ48WVLaw9Kv5s7nS+qX08OHDzu+ZA8bNkxTp07VyJEj9ddff2n79u2aPn26XnzxRUlSgwYNVKpUKXXt2lWbN2/Wb7/9phdeeMG25yqzmzNnjuLi4tSzZ0+n11W5cuXUpk0bx+tq+PDh+vrrrzV8+HBt375df/75p2MbFxUVpa5du6pHjx6aOXOm9uzZo6VLl+qbb76RdPl7S86cOfXf//5Xu3fv1rRp0xyvi2vJmzevQkNDNWHCBO3atUuLFy/WgAEDnPp07NhR4eHhatmypVauXKm///5b33//vVavXu3oU7ZsWdWoUUNDhw5Vx44dr/mjlGVZmjRpknbu3Kn7779fc+fO1d9//60tW7bo1VdfVYsWLSRdfr3u27dP06dP1+7du/Xee+85Dj1Mz4gRI/T222/rvffeU2xsrOP9I13es1WjRg29/vrr2r59u5YtW+Z4DaenZMmSWrhwoVatWqXt27fr//7v/3TkyBGnPlFRUVqzZo327t2r48ePuwyMAwcO1KJFi/TKK69o586dmjJlij744AMNGjTomo+fJdyRM71gC1fDYUoypUuXdvS5cphZX19fU7RoUdOuXTuzePFil8ucMWOGeeCBB0xgYKDJlSuXqVChgnn55ZevO8TzwoULzUMPPWRCQkJMjhw5TIECBUzLli3NL7/84ujj6uRTYy6PolO1alXj7+9vSpYsab799luXJ0qPHz/eNGzY0Pj5+ZmoqCjHqHvGuHfSZnr++OMP07p1axMWFmb8/PxMiRIlTO/evU1sbKwxJv2TPVNSUszYsWNN6dKljY+PjwkLCzONGzc2y5YtM8ZcPlG7W7duJjg42OTJk8c8+eST5rnnnnM6EfXo0aOmYcOGJnfu3Dc9FPvVJ5e2aNHCMdQxbr2dO3eafPnymfvvv98sW7bM7Nu3z8ybN8+UK1fOVKpUyZw+fdoYc3m43oIFC7ocja9du3aOQS5c+eGHH4yPj49p2rSpY2S1zZs3OwZnmT17tjHmfwNa9OnTx2zfvt3MnDkzzQiTu3btMgUKFDBlypQx06dPN9u2bTM7duwwX3zxhSlQoIAZMGCAvU8Qbrs9e/aYrl27mgIFChjLsowk07p1a3P27FlHn/Lly6cZ9SzVjBkzjK+vrzl27JjLdlfb6asHcwgODnYaHezll1824eHhxrIsx/bpettSY9IOxf7RRx8ZSY5LGNzM58vs2bNNiRIlTI4cOZyGYv/ll19MzZo1TUBAgAkKCjL33XefmTBhgqM9JibG1K5d2/j6+ppSpUqZX375hQEt/r+HH37YNG3a1GVb6qVfUkfu+/77702lSpWMr6+vyZcvn2ndurWj7/nz503//v1NwYIFja+vrylRooT5/PPPHe0//vijKVGihAkICDAPP/ywmTBhgsuh2K+2cOFCU7ZsWePn52cqVKhgli5dmuZ/t3fvXtOmTRsTFBRkcubMaapWreoYMS/VxIkTjSSzdu1at56XmJgY06VLFxMREeEYnrxjx45OA10MHjzYhIaGmty5c5v27dubd9991+m17WqdPv74Y8f7p2DBgqZfv36Otm3btpno6GgTEBBgKlWq5LhkQHoDWpw4ccK0aNHC5M6d2+TPn9+8+OKLpkuXLk6Db8XExJgaNWqYgIAAt4Zi9/HxMUWLFjVjxoxxqtvVoGsVK1bM9JeSIVwhU+ADC5nBrf4ya8zlHwMeffRRkz9/fpMjRw4TGhpqGjdubKZPn35DQ7EbY8zBgwdN3759TbFixYyPj4/JnTu3ue+++8yYMWOcakbWMGzYMJM7d263RpzM6EaNGmUKFy58p8tANvfyyy+b8uXL3+kykMFYxtzEMHHAbWJZln788UfHOWJAZjB8+HC98847WrhwoWrUqHGnywE0adIkxcfH6+mnn85UhxV/+OGHqlatmkJDQ7Vy5Ur169dPffv21ahRo+50aciGzpw5o71796p+/foaNWqUevXqdadLQgbCaIEAcIuMHDlSUVFR+v3333Xfffdlqi+zyJq6d+9+p0vwSGxsrEaNGqWTJ0+qaNGiGjhwoJ5//vk7XRayqb59++rrr79Wy5Yt1aNHjztdDjIY9lwBAAAAgA34GRUAAAAAbEC4AgAAAAAbEK4AAAAAwAaEKwAAAACwAeEKAAAAAGxAuAIAwEZRUVGyLEuWZWnEiBF3uhwAwG1EuAIAZGpXhhl3b0uXLr3TZQMAsiDCFQAAAADYIMedLgAAgJvxwgsvKD4+3nE/Li5Or732muN+w4YN1ahRI6d5ihcvftvqAwBkH4QrAECm1qtXL6f7e/fudQpXNWvW1KBBgyRJe/bs0bhx49SpUyft3btXJ0+eVFJSkvLly6d7771XvXv3VvPmzdM8xuTJkzV58mRt3bpV8fHxyp07t/Lnz69KlSqpTp06euqpp65b544dO1S3bl0dOXJEklSlShUtWLBAISEhN7P6AIAMhHAFAMg2/vrrL40bNy7N9IMHD+rgwYOaM2eORo4cqWHDhjnaRowYoZEjRzr1P3XqlE6dOqWdO3dq2bJl1w1Xu3btUv369R3BKjo6WvPmzVNwcLANawUAyCgIVwCAbCNHjhyqVKmSqlatqrCwMAUFBens2bNauXKllixZIkl65ZVX1LNnTxUqVEiS9NFHHznmb9CggerWrauzZ89q//79WrFihc6fP3/Nx9y7d6/q1aungwcPSpIeeOAB/fzzz8qdO/ctWksAwJ1CuAIAZBtNmjRRkyZNtHPnTm3cuFHHjh2Tj4+PmjZtqjVr1ujcuXNKSkrS4sWL9fjjj0uSLly44Jj/iy++UHh4uNMy//7773Qfb//+/XrwwQe1f/9+SZfP/5o5c6Zy5sx5C9YOAHCnEa4AANnG3r171blzZ61ateqa/Q4cOOD4+/7779fPP/8sSSpXrpyqV6+ukiVL6p577tGDDz6oEiVKpLuczz//3PF3s2bN9P3338vPz+8m1wIAkFERrgAA2UbLli21efPm6/ZLTEx0/P3RRx+pXbt2+v3333XixAnNnTvXqW+7du309ddfy8vr2lc3KVSoEMEKALI4rnMFAMgWYmJinIJVp06ddODAAaWkpMgYo7CwMJfzFSlSRKtXr1ZsbKy++uorjRgxQm3atFGOHJd/n/zmm280ZcoUl/OWKVPG8feECRM0ZMgQG9cIAJDRsOcKAJAtnDhxwun+o48+6hi0YunSpTp27JjL+TZv3qzy5curRIkSTocAtmjRQrNnz5YkbdiwQd27d08zb/v27ZWcnKxRo0ZJksaMGaPAwEC99NJLtqwTACBjIVwBALKFEiVKyMvLSykpKZKkZ555Rps2bdKJEyc0adKkdOdr37694uPj9eCDD6pQoUIKCQnR7t27nQ4PzJMnT7rzv/LKKzp8+LA+++wzSdKwYcMUFBSkZ555xp4VAwBkGIQrAEC2kD9/fvXu3Vsff/yxpMsj+b388suSpPr162vHjh36999/Xc57+PBhff311y7bQkJC9J///Oeaj/3xxx/r2LFjmjVrliSpf//+CgoKcrm3CwCQeXHOFQAg23j//ff18ssvKzIyUj4+PipatKgGDx6sn376yXEO1dVGjx6tJ554QlWqVFF4eLh8fHyUM2dOlSlTRk899ZTWr1+vyMjIaz6ut7e3pk+frtq1a0uSjDHq1auXvv32W9vXEQBw51jGGHOniwAAAACAzI49VwAAAABgA8IVAAAAANiAcAUAAAAANiBcAQAAAIANCFcAAAAAYAPCFQAAAADYgHAFAAAAADYgXAEAAACADQhXAAAAAGADwhUAAAAA2IBwBQAAAAA2IFwBAAAAgA3+H8WrGLH2V2E7AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import necessary libraries\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Define the data from global_stats_squad.py as dictionaries for plotting\n",
    "\n",
    "# Accuracy for each system\n",
    "accuracy_squad = {\n",
    "    'Baseline LLM': 0.48,\n",
    "    'EDC GoG Pipeline': 0.62,\n",
    "    'Integrated EDC GoG Refinement': 0.68,\n",
    "}\n",
    "\n",
    "# Query Answering (QA) Accuracy for Incomplete graph (100 examples)\n",
    "qa_accuracy_squad = {\n",
    "    'EDC Pipeline': 0.12,\n",
    "    'GoG Pipeline': 0.53,\n",
    "    'Integrated EDC GoG Refinement': 0.49\n",
    "}\n",
    "\n",
    "# Execution Time (in minutes) QA - 500 examples\n",
    "execution_time_squad = {\n",
    "    'EDC Graph Creation': 185,\n",
    "    'QA GoG': 153,\n",
    "    'QA Integrated': 246,\n",
    "    'Accuracy Calculation': 24,\n",
    "}\n",
    "\n",
    "# Scalability (Processing Time in minutes for varying data sizes) (10% QA))\n",
    "scalability_squad = {\n",
    "    '5 Titles': [49, 42, 68, 7],\n",
    "    '20 Titles': [185, 153, 246, 24],\n",
    "    '50 Titles': [453, 378, 612, 57],\n",
    "}\n",
    "\n",
    "# Plotting the data\n",
    "\n",
    "# Accuracy Plot\n",
    "plt.figure(figsize=(10, 6))\n",
    "names = list(accuracy_squad.keys())\n",
    "values = list(accuracy_squad.values())\n",
    "plt.bar(names, values, color='blue')\n",
    "plt.axhline(y=accuracy_squad['Baseline LLM'], color='red', linestyle='dotted', linewidth=2, label='Baseline LLM')\n",
    "plt.title('System Accuracy Comparison - SQuAD Dataset', fontsize=16)\n",
    "plt.xlabel('System', fontsize=14, fontweight='bold')\n",
    "plt.ylabel('Accuracy', fontsize=14, fontweight='bold')\n",
    "plt.ylim(0, 1)  # Set y-axis limits to show percentages from 0 to 1\n",
    "plt.grid(True, linestyle='--', linewidth=0.5, alpha=0.7)\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "# QA Accuracy Plot\n",
    "plt.figure(figsize=(10, 6))\n",
    "names = list(qa_accuracy_squad.keys())\n",
    "values = list(qa_accuracy_squad.values())\n",
    "plt.bar(names, values, color='cyan')\n",
    "plt.axhline(y=accuracy_squad['Baseline LLM'], color='red', linestyle='dotted', linewidth=2, label='Baseline LLM Accuracy')\n",
    "plt.title('QA Accuracy for Incomplete Graph - SQuAD Dataset', fontsize=16)\n",
    "plt.xlabel('Pipeline', fontsize=14, fontweight='bold')\n",
    "plt.ylabel('QA Accuracy', fontsize=14, fontweight='bold')\n",
    "plt.ylim(0, 1)\n",
    "plt.grid(True, linestyle='--', linewidth=0.5, alpha=0.7)\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "# Execution Time Plot\n",
    "plt.figure(figsize=(10, 6))\n",
    "names = list(execution_time_squad.keys())\n",
    "values = list(execution_time_squad.values())\n",
    "plt.bar(names, values, color='navy')\n",
    "plt.title('Execution Time for QA - 500 Examples', fontsize=16)\n",
    "plt.xlabel('Task', fontsize=14, fontweight='bold')\n",
    "plt.ylabel('Execution Time (minutes)', fontsize=14, fontweight='bold')\n",
    "plt.grid(True, linestyle='--', linewidth=0.5, alpha=0.7)\n",
    "plt.show()\n",
    "\n",
    "# Scalability Plot\n",
    "labels = list(scalability_squad.keys())\n",
    "edc_graph = [scalability_squad[label][0] for label in labels]\n",
    "qa_gog = [scalability_squad[label][1] for label in labels]\n",
    "qa_integrated = [scalability_squad[label][2] for label in labels]\n",
    "accuracy_calc = [scalability_squad[label][3] for label in labels]\n",
    "\n",
    "x = np.arange(len(labels))  # the label locations\n",
    "width = 0.2  # the width of the bars\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "rects1 = ax.bar(x - width*1.5, edc_graph, width, label='EDC Graph Creation', color='lightblue')\n",
    "rects2 = ax.bar(x - width/2, qa_gog, width, label='QA GoG', color='blue')\n",
    "rects3 = ax.bar(x + width/2, qa_integrated, width, label='QA Integrated', color='darkblue')\n",
    "rects4 = ax.bar(x + width*1.5, accuracy_calc, width, label='Accuracy Calculation', color='red')\n",
    "\n",
    "# Add some text for labels, title and custom x-axis tick labels, etc.\n",
    "ax.set_xlabel('Data Sizes (Titles)', fontsize=14, fontweight='bold')\n",
    "ax.set_ylabel('Execution Time (minutes)', fontsize=14, fontweight='bold')\n",
    "ax.set_title('Scalability of Different Tasks', fontsize=16)\n",
    "ax.set_xticks(x)\n",
    "ax.set_xticklabels(labels)\n",
    "ax.legend()\n",
    "ax.grid(True, linestyle='--', linewidth=0.5, alpha=0.7)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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