evaluations.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from sklearn import metrics\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import sys\n",
    "import seaborn as sns"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AAAB2EJoBAAAAOwjNAAAAgB2EZgAAAMAOQjMAAABgB6EZAAAAsIPQDAAAANhBaAYAAADsIDQDAAAAdhCaAQAAADsIzQAAAIAdhGYAAADADkIzAAAAYAehGQAAALCD0AwAAADYQWgGAAAA7CA0AwAAAHYQmgEAAAA7CM0AAACAHYRmAAAAwA5CMwAAAGAHoRkAAACwg9AMAAAA2EFoBgAAAOwgNAMAAAB2EJoBAAAAOwjNAAAAgB2EZgAAAMAOQjMAAABgB6EZAAAAsIPQDAAAANhBaAYAAADsIDQDAAAAdhCaAQAAADsIzQAAAIAdhGYAAADADkIzAAAAYAehGQAAALCjlqsLKIldu3ZpxYoViouLU05OjoKDgzVs2DCNGjVKbm6O5/+9e/dqx44dOnz4sE6fPq2LFy/KbDYrODhYd9xxhx5++GH5+PhU4DsBAABAVVJlZpojIyM1ceJE7dmzR35+fmrRooXi4+M1Z84cPfroo7JarQ73tXr1an3wwQf64YcfVKtWLbVr105169ZVXFycXn/9dd177706ffp0Bb4bAAAAVCVVYqY5NjZWCxculJubm+bPn6+IiAhJUnx8vMaNG6fo6GitWLFC48aNc6i/O++8U/fcc4/CwsLk5eVlu/7zzz/rscce09GjRzV79mxFRkZWyPsBAABA1VIlZpqXLVsmwzA0cuRIW2CWpJCQEM2cOVPS1Zloi8XiUH/9+/dX7969CwRmSbr++us1Z84cSdLXX3+t7OzscnoHAAAAqMoqfWjOyMjQ7t27JUkjRowodH/AgAHy8fFRamqqYmJiyjzeddddJ0nKy8tTTk5OmfsDAABA1VfpQ3NcXJwsFos8PT3VoUOHQvfNZrM6d+4sSTp48GCZx/v+++8lSUFBQfL19S1zfwAAAKj6Kn1oTkxMlCQ1adJEtWoVvQQ7KCioQNuSMgxD58+f1/r16zVz5kzVqlXLtuwDAAAAqPQPAl66dEmS5O/vX2wbPz8/SVJaWlqJ+t6xY4ceffTRAtfCwsL02muvqWvXriWsFAAAANVVpZ9pzn8Yz2w2F9vGw8NDkpSVlVWivgMCAtSlSxfdeOONCgwMlMlk0qFDh7Ru3boS9wUAAIDqq9LPNHt6ekrSNXfGyH9g74+7YdjTrVs3rVy50vb3Y8eO6Z///Kc++ugjnT59WsuXLy9FxQAAAKhuSjTTnJOTo4yMDF2+fNmh9pcvX1ZGRobDW8EVJX9ZRv4yjaLkL8vIX6ZRWq1bt9abb76pBg0a6KuvvtL+/fvL1B8AAACqhxKF5gceeEDdu3fXunXrHGq/fv16de/eXWPGjClVcZLUsmVLSdKZM2eUm5tbZJukpKQCbcvC29tbYWFhkq7u3AEAAAA4HJq/+OILHTlyRL169dIDDzzg0Gvuv/9+9erVSwcPHtQ333xTqgI7dOggs9ms7OzsIkOsxWLR4cOHJUmhoaGlGuOP8vLyCvwnAAAAajaHQ/OmTZtkMpk0adKkEg0wefJkGYah9evXl7g4SfLx8VHPnj0lSatXry50f8uWLcrIyFBAQIBthrgs0tPTbYekhISElLk/AAAAVH0Oh+ZDhw7Jz89P3bp1K9EAXbt2lb+/v+3QkNKYNGmSTCaTVq1apY0bN9qux8fHa968eZKk8ePH23bRkKSoqCiFh4dr+vTpBfr69ddf9dJLLykhIaHQON9//73Gjx+v1NRUtW3btlxCOAAAAKo+h3fPOHfunFq1aiWTyVSiAUwmk5o2baqTJ0+WtDabrl27atq0aVq0aJFmzJihRYsWydvbWwkJCbJarerTp4/Gjh1b4DXp6elKTk5Ws2bNCly3WCx6//339f777ysgIEDNmjWTYRg6c+aMLl68KElq0aKFlixZInd391LXDAAAgOrD4dBsGEaJA3M+k8kkwzBK9dp8kydPVkhIiKKionTkyBGlpKSobdu2GjZsmEaPHu1wwG3YsKFeeOEF7dmzRz/++KNOnTqlK1euyM/PTz169FC/fv00cuTIEm9fBwAAgOrL4dBcr149JScnl3gAwzCUnJysevXqlfi1f9S3b1/17dvXobZTp07V1KlTC1339PTUfffdp/vuu6/M9QAAAKBmcHhNc6dOnZSWllbivYu//fZbXbp0SZ06dSpxcQAAAEBl4HBo7t+/vwzD0CuvvGI7gc+enJwcvfLKKzKZTOrfv3+piwQAAABcyeHQPHDgQLVt21aHDx/WhAkT9Ouvv16z/dmzZzVhwgT98MMPatOmjQYOHFjmYgEAAABXcHhNs8lk0uLFi3Xfffdp37596tevn/r27avu3burefPmql27tq5cuaJffvlF3377rXbu3CmLxaKAgAAtXry41A8RAgAAAK7mcGiWrm7Ftnr1aj3++OOKjY3Vtm3btH379kLt8nfKuPHGG/Xqq6+qefPm5VMtAAAA4AIlCs2S1KxZM61cuVJ79+7V5s2bFRsbq19//VWZmZmqU6eOAgMDddNNN+nuu++2neQHAAAAVGUlDs35evTooR49ejjc/uLFi6pbt25phwMAAABcxuEHAUvr119/1csvv6w77rijoocCAAAAKkSpZpoNw9DFixfl5eUlb2/vItskJSXp7bff1tq1a5WTk8ODgAAAAKiyShSaz58/r1deeUXR0dG6fPmypKsPB06cOFHDhw+XJKWmpmrBggVas2aN8vLyZBiGunXrpgkTJpR/9QAAAIATOBya09PTdf/99+v06dO23TEkKTExUc8884yys7PVtWtXjR8/XikpKTKZTLrjjjs0YcIEhYaGVkjxAAAAgDM4HJpXrFih5ORkNWzYUNOmTVPnzp2VlZWlXbt2afny5VqyZIl8fHx0/vx53XHHHXrsscfUunXriqwdAAAAcAqHQ/MXX3whNzc3LV26VJ07d7ZdDw0Nla+vr/71r3/pwoULmjJliqZMmVIhxQIAAACu4PDuGYmJiWrcuHGBwJwv/4hsPz8/TZo0qfyqAwAAACoBh0Pz5cuX1bhx4yLvBQYGSpJatmypWrVKvfUzAAAAUCk5HJoNw7C7bZzZbC5zQQAAAEBlU+GHmwAAAABVXYnWUhw4cEDt27cv8p7JZLJ7Py4uruQVAgAAAC5WotD8+/2ZAQAAgJrC4dD8/vvvV2QdAAAAQKXlcGgOCwuryDoAAACASosHAQEAAAA7Sryp8ubNm7Vp0yYlJiZKklq0aKGBAwcqIiKi3IsDAAAAKoMSheZ//OMf2rBhg6T/PRT4888/a+fOndqxY4cWLVpU7gUCAAAAruZwaN64caPWr18vSQoPD1f37t1lGIb279+v6Ohobd26VWvXrtWQIUMqqlYAAADAJRwOzZ9++qlMJpNmzZqlhx56yHZ97NixioqK0rx587RmzRpCMwAAAKodhx8E/PHHH+Xn51cgMOd75JFH5O/vr6NHj5ZrcQAAAEBl4HBovnTpklq1alXs/ZYtWyo9Pb08agIAAAAqFYdDs9VqVa1axa/mqFWrlqxWa7kUBQAAAFQm7NMMAAAA2FGiLed++umnItc0S1JCQoIkFXvfZDLpvffeK2F5AAAAgOuVKDSnp6dr375912xT3H2TyVSSoQAAAIBKw+HQPGXKlIqsAwAAAKi0CM0AAACAHTwICAAAANhBaAYAAADscHh5xuLFix1q5+7uLl9fXwUHB+umm26St7d3qYsDAAAAKoMSheaS7oDh7e2t0aNHa+rUqdc8GAUAAACozBxOst27d3eoXV5entLT05WYmKjMzExFRkbq559/1pIlS0pdJAAAAOBKDofmDz74oEQd5+TkaNOmTZo3b56io6P12Wef6e677y5xgQAAAICrVdiDgB4eHho6dKjmz58vwzC0du3aihoKAAAAqFAVvntG79691bBhQx05cqSihwIAAAAqhFO2nGvatKlSU1OdMRQAAABQ7pwSmjMzM+Xl5eWMoQAAAIByV+Gh+ddff9Xx48fVokWLih4KAAAAqBAVGpozMzP11FNPyTAM9e3btyKHAgAAACqMw1vOObr7Rf4+zT/99JN27typ1NRUNWjQQGPGjCltjQAAAIBLORyaZ86cWeITAQ3DUPPmzfXGG28oICCgpLUBAAAAlYLDoblp06YOtXN3d5evr69atWqlW2+9VYMGDZKnp2epCwQAAABczeHQHB0dXZF1AAAAAJWWU3bPePvttzV48OCKHgoAAACoEA7PNJdEZmamtm3bpnXr1mnfvn0yDKMihgEAAACcotxCs9Vq1ddff61169YpOjpaWVlZtrDcoUMH3XPPPeU1FAAAAOBUZQ7NcXFxWrdunTZt2qTffvvNFpQ9PDz05z//Wffcc49at25d5kIBAAAAVylVaD579qzWr1+v9evX69ixY5Kubi/n7++v/v376+OPP5afn5+mT59ersUCAAAAruBwaM7MzNTWrVu1bt06ffvttzIMQ4ZhyMvLS3369NHgwYPVu3dvmc1mffzxxxVZMwAAAOBUDofmW265RdnZ2TIMQ+7u7urZs6cGDx6sO++8U3Xq1KnIGgEAAACXcjg0Z2VlyWQyyd/fX88++6wGDRpU4hMCAQAAgKrI4dDcpk0bJSQk6NKlS3riiSf0yiuvaODAgYqIiFCnTp0qskabXbt2acWKFYqLi1NOTo6Cg4M1bNgwjRo1Sm5ujm85HRcXp+3bt+vbb79VQkKCMjIy5Ofnp44dO+q+++7TnXfeWYHvAgAAAFWNw6F5w4YNio+P19q1a7Vp0yadO3dO7733nt577z21aNFCgwcP1uDBg9WyZcsKKTQyMlILFiyQJAUFBcnb21vx8fGaM2eOdu/erSVLljgUnE+dOqWhQ4fa/t68eXM1a9ZMv/zyi7766it99dVXGjp0qF5++eUSBXEAAABUXyVKhSEhIZo5c6Z27dql5cuXa+DAgfLy8lJiYqKWLFmiAQMGaPjw4eVeZGxsrBYuXCg3NzctWLBAO3bs0Pr167VmzRo1aNBA0dHRWrFihUN9GYahhg0b6vHHH9dXX32lzz//XJ9++qn27t2rZ599ViaTSWvWrNG///3vcn8fAAAAqJpKNZXq5uamW2+9VQsWLNA333yjuXPn6uabb5bJZNKRI0ckSRcuXNDDDz+sTz/9VBkZGWUqctmyZTIMQyNHjlRERITten6Il67ORFssFrt9NW7cWNu3b9eECRPUqFGjAu9p9OjRuu+++ySJHUAAAABgU+b1B97e3ho6dKiioqK0c+dOzZgxQ23atJHValVMTIyefvpp3XrrrXrsscdK1X9GRoZ2794tSRoxYkSh+wMGDJCPj49SU1MVExNjtz9PT0/Vrl272Pu33nqrJOnkyZOlqhcAAADVT7ku2g0MDNSECRO0YcMGrVmzRg8//LDq16+vrKwsffbZZ6XqMy4uThaLRZ6enurQoUOh+2azWZ07d5YkHTx4sEz1S1J2drYkycvLq8x9AQAAoHoo8zHaxWnfvr3at2+vJ598Ul9//bXWr19fqn4SExMlSU2aNFGtWkWXGxQUpD179tjalkV+uO/SpUuZ+wIAAED1UGGhOZ+bm5t69+6t3r17l+r1ly5dkiT5+/sX28bPz0+SlJaWVqox8n399dfasWOHJGncuHFl6gsAAADVR6XfUy1/uYTZbC62jYeHh6SrB7CU1unTp/X4449Lkh588EF179691H0BAACgeqn0odnT01OSrrkzRk5OjqTSr0NOTU3VhAkTdPHiRYWFhWnWrFml6gcAAADVU6UPzfnLMvKXaRQlf1lG/jKNksjMzNTEiRP1888/q2PHjlq2bJlt5hoAAACQqkBozj9h8MyZM8rNzS2yTVJSUoG2jsrJydFf//pXHTx4UNdff72WL18uHx+fshUMAACAaqfSh+YOHTrIbDYrOztbcXFxhe5bLBYdPnxYkhQaGupwv7m5uZo2bZr27t2roKAgvfvuu6pXr1651Q0AAIDqo9KHZh8fH/Xs2VOStHr16kL3t2zZooyMDAUEBCgsLMyhPg3D0MyZMxUdHa1GjRppxYoVCgwMLNe6AQAAUH1U+tAsSZMmTZLJZNKqVau0ceNG2/X4+HjNmzdPkjR+/PgCa5GjoqIUHh6u6dOnF+rvpZde0oYNG1S3bl1FRUUpKCio4t8EAAAAqqwK36e5PHTt2lXTpk3TokWLNGPGDC1atEje3t5KSEiQ1WpVnz59NHbs2AKvSU9PV3Jyspo1a1bgemxsrD744ANJV3fbeOaZZ4odd+XKleX/ZgAAAFDlVInQLEmTJ09WSEiIoqKidOTIEaWkpKht27YaNmyYRo8eLXd3d4f6yd+eTrr6cOGZM2cqqmQAAABUE1UmNEtS37591bdvX4faTp06VVOnTi10/eabb9bRo0fLuzQAAABUY1ViTTMAAADgSoRmAAAAwA5CMwAAAGAHoRkAAACwg9AMAAAA2EFoBgAAAOwgNAMAAAB2EJoBAAAAOwjNAAAAgB2EZgAAAMAOQjMAAABgB6EZAAAAsIPQDAAAANhBaAYAAADsIDQDAAAAdhCaAQAAADsIzQAAAIAdhGYAAADADkIzAAAAYAehGQAAALCD0AwAAADYQWgGAAAA7CA0AwAAAHYQmgEAAAA7CM0AAACAHYRmAAAAwA5CMwAAAGAHoRkAAACwg9AMAAAA2EFoBgAAAOwgNAMAAAB2EJoBAAAAOwjNAAAAgB2EZgAAAMAOQjMAAABgB6EZAAAAsIPQDAAAANhBaAYAAADsIDQDAAAAdhCaAQAAADsIzQAAAIAdhGYAAADADkIzAAAAYAehGQAAALCD0AwAAADYQWgGAAAA7CA0AwAAAHYQmgEAAAA7CM0AAACAHYRmAAAAwA5CMwAAAGAHoRkAAACwg9AMAAAA2EFoBgAAAOwgNAMAAAB2EJoBAAAAO2q5ugAAAFD95MlNWVlZLq3BzZojs/JcWoNT5ZmUlZWlHJNZee61XV2N07ibzMrJyZHZbJbJZKqwcQjNAACg3GS7eyvNu4lyvBrI7cQJl9ZS17DK38NwaQ3O5J5t0okT52Wt3VLybO7qcpzHzV3njh2T2WyWr6+vGjRoIHd393IfhtAMAADKRa6bh37zbyNPv/pqEuCv2v71K3Tmz56MrFzlWmtOaDa7u6mOp7vyMlNlWHNdXY7TmNxqyfD0UUZGhlJTU3XlyhUFBQWVe3CuUqF5165dWrFiheLi4pSTk6Pg4GANGzZMo0aNkpub48uzz58/r2+++UaHDh3SoUOHFB8fL4vFohEjRuill16qwHcAAED1dal2E9WqE6DmgfVUy+wp99quXSKQY+TKrQaFZg93N3l5uSsv10NGnut+WHE2k7tZ7j4+8vHxkb+/v06dOqWUlBQFBgaW6zhVJjRHRkZqwYIFkqSgoCB5e3srPj5ec+bM0e7du7VkyRKHg/OmTZs0d+7ciiwXAIAaxZCU7Rmg+r515F6CiSygPNWuXVt+fn5KT09Xo0aNyvU3HVXiuzo2NlYLFy6Um5ubFixYoB07dmj9+vVas2aNGjRooOjoaK1YscLh/nx8fHTLLbdo0qRJWrp0qcaMGVOB1QMAUP3luXnIcPeQl6fZ1aWghvP19ZXFYpHFYinXfqtEaF62bJkMw9DIkSMVERFhux4SEqKZM2dKujoT7eg/zogRI/Tuu+9q+vTpuuOOO+Tv718hdQMAUFNYTW6SycQsM1wufy2z1Wot134r/Xd2RkaGdu/eLelq2P2jAQMGyMfHR6mpqYqJiXF2eQAAQJJUc9bQonKrqIdPK31ojouLk8Vikaenpzp06FDovtlsVufOnSVJBw8edHZ5AAAAqAEqfWhOTEyUJDVp0kS1ahX93GJQUFCBtgAAAEB5qvSh+dKlS5J0zXXHfn5+kqS0tDSn1AQAAOBKf53wiHp26aQD+/c5bcx938WqY1hvPTLpb04bszKp9KE5Oztb0tVlGMXx8PCQJJcf1wkAAHAtQwfdpZ5dOqlnl056feH8a7b96N8f2Nr27NLJSRWiOJU+NHt6ekrSNXfGyMnJkSR5eXk5pSYAAFD5uZkkd7ey/XGrwOcbt23ZpLy8vGLvb928sdh7gY2bqEWrYHl6Oe8AGS8vTwW3bKEm5XxoSFVR6Q83yV+Wkb9Moyj5yzLyl2kAAIDKyTAMpx2t7eNV9phjNQylXclVeR8s2KJVsE6dPKFvY/aqR69bCt1PPHlCP8YdsbX7o+dfdP4hbTd07KCNqz50+riVRaUPzS1btpQknTlzRrm5uUU+DJiUlFSgLQAAqJxMJpNijqUp/UrxM6yVhW9td93c2k8mk64eeViOBgyMUOTSN7R184YiQ/OWTRskSXcPjNBbS98o38FRKpU+NHfo0EFms1nZ2dmKi4vTDTfcUOC+xWLR4cOHJUmhoaGuKBEAAJRA+pU8pV7OdXUZLnVTl24KbNxYu3Z+ritXLqt2bW/bPcMwtPWzTfL08lKf8H5Fhua/TnhEsd/t15LId9WlW5jtem5urj7890fa8NkWHT+ZKIslVwH+fmrWpLF63txdDz0wUn6+vrb2p8+cVWTUB9oTs1+/nk+R2VxL9QIC1K7N9RpwZ7gG3nWHre2+72L158nT1L3LjYp683Xb9eTTZ3TXkPvUtEljbV/3sTZ8tk0frFylYydOysPTQz26ddVjUycpqFnTIv8tfjz6k954613FHjwkS26e2rQO1iOj7lf/O/qoY1hvSdKRfV+W/h+7nFT6Nc0+Pj7q2bOnJGn16tWF7m/ZskUZGRkKCAhQWFhYofsAAACVjclk0l13D9KVK1e0K/rzAvcOxh7QmdPJ6t0nXN516pSo38cee0xzFyzSD3Hxql+vntq1aS13d3cdjovXsuVRSj5z1tY2+fQZ/enhCVq1ZoN+u3BRwS2D1KJ5c6VnZOrzXV9p+Xv/V+L39f+WvKWZz8/RxUuX1LJFkLKysrUt+guNmfCoLqamFmq/Z99+PTjur9r19W5ZrYaua9VSZ87+qsdmPaf3/v1xicevSJV+plmSJk2apK+++kqrVq1SWFiY7Sjt+Ph4zZs3T5I0fvx42y4akhQVFaX3339foaGh+n//7/+5pG4AAIDi3D3oHn2w4h1t2bRBAwYNtl23Lc343TVH/Bh3RFu3blXjwEBFvj5frYNb2e5lZGRqy46dCvD/3/NfUf/3kS6mXtK9gwbo6Sf+rjre/5vtPn4yUftjS3Zo3Llz5/Wf1Wv15qJXdFuvHpKk8ym/aeLfHtdPPx/Tig//o8emTLK1z8y8rJnPz1FOTo6GDh6oZ56YLi8vTxmGoZWr12j+a0tLNH5Fq/QzzZLUtWtXTZs2TVarVTNmzFC/fv10zz33aOjQoUpJSVGfPn00duzYAq9JT09XcnKyUlJSCvV35swZ3XzzzbY/y5cvlyStX7++wPXvvvvOKe8PAADUPMHXtVbbkPba/22MUs6fl3R1R7DoHdtUt149db+5Z4n6O/XfQ9769+tbIDBLko9PHY0YElFg54vEpF8kSQ8/eF+BwCxJ17VqqT8NvadE4+fm5Wny+EdsgVmSGjaor79NHi9J+mp3TIH2m7ZuV8pvF3RdqxaaPetxeXld3THNZDLpwZHDdPed4SUav6JVidAsSZMnT9abb76pHj16KDU1VadOnVLbtm311FNPaenSpXJ3d3e4r7y8PKWmptr+5O/vnJOTU+B6bm7NXm8FAAAq1oCBg5WXl6ftWzdLkr75apfS09N0Z/+BxZ6EXJzAxo0lSXv37VfqJfsHvjUObCRJ2hb9hQyjfJ50HH7voELXOrUPkST9cvp0geu79+2XJA2+u3+R73Xo4IHlUlN5qRLLM/L17dtXffv2dajt1KlTNXXq1CLvNW/eXEePHi3P0gAAAErsrgEDteS1Bfps0wY9MPph29KMAYMiStzXDaE3KjQ0VAcPHlS/wSPUM6ybut4Uqu5dblSHkLaFtvp7YORQrdu0RW++857Wb96qW3uEqetNNyisaxc1atigxOPXDfCXr49Poev169WVJF2+fKXA9cRTV2e6217fusj+irvuKlVmphkAAKC6qd+ggbqF9VDC0XjFfrdfe775Si1bBat9h5KfAOjm5qa3335bYx74kzw9PRX95dea/9oS/enhCbpryH1as/GzAu3bt22j9996Q71u7q5z587r4zXr9eRzcxQeMVwTps7QsRMnSzR+7dpFH7Ti5lZ03Lzy39/016njXeT9Ot7OO7jFEYRmAAAAF8p/4O+FZ2fJYrEUeCiwpPz9/TXr8en6ett6rf7wHc2a8TeFdb1Jp8+c1TMvzNXWz78o0D60c0e9/cYC7f58k9567VWNe+hBBTZqqN0x32rC1BlKS08vy1u7ptr/Pcn5jzPQ+TKLue4qhGYAAAAXur3vHfL29tbZs2dkMpnU/+6SL834I5PJpPZt22j0fSO0YtlrGv/wKEnS6rUbimxfx9tbt/YM02NTJmnjqg8V1LyZfj13vtDDe+WpVYsgSdJPPx8r8n5CMdddhdAMAADgQl61a+uB0Q+rW1gPDRk+Uk2aFn0ISFmEduogSTpfxK5if1Tby0ttW1/ncPvS6nlzN0nShs+2KS+v8AmRazdtqbCxS6NKPQgIAABQHY2f9GiZ+9i8aYPOn03W4Dv7qGng/x7kS029pA8/+kSS1L5dW9v1F+YtUPeuN6rPbbfYlkpI0v4D32vv/u8KtS9vg+7qpyWR7+rYiZP657wFevrxafL0vLpP80efrNOmrTsqbOzSIDQDAABUA6kXL+r111/X66+/rsBGDdWwQX1lZ2fr5KlfZLFYFNiooaZOGm9r//3hI/ro03Wq5e6uFi2aq463t367cFGn/3tq4OC779LN3bpUWL116nhr3j+f0eTpT+qTdRu17fMv1LJFc507n6Jz51P0xLRHNf+1JcU+SOhshGYAAOBUvrUdP1vBlapKnfnC+90pk5Gr3V99qROJiUo4dly1vWqrTetg9evTWw+MHCo/X19b+yenT1H0l1/rwPeHdPbXc0r65bQaNqivW3qE6YGRQ9Xn1l4VXnPPsG769ztLtfitd3Xg4GEdO5Go1sEt9cS0R9Xntl6a/9qSQgevuAqhGQAAOI1hGLq5tZ/9hpWE1TBUTud+SJLWbNpWovaNAhtrz4EfCl1f+nZUoWuNGzfRhAkTNPaB4TLyLHb7vrlblxLNJId1vUlH9n1Z6Hqzpk2KvP5717rfIaSdlv6/fxV+zY9Xz9Ro2qSxwzVWJEIzAABwmj8esFGRMrJylVfGxGsYkrUcQzMct2bj1VMSbwot+Z7VFYHQDAAAqiWrIeVZXV0FriVm/wH9duGi+vW5TR4eHpIkS26u/u+jT/TRJ+vk5uamEUNKv291eSI0AwAAwCVOn/1Vz7wwV7Vq1VLzpk1Up04dJZ5KUkZmpiTp749OVPu2bVxc5VWEZgAAALhE1xtv0IMjh2nfd7E6l5KiX5JPy9/fT926hOrBkcN0S48wV5doQ2gGAACAS7Ro3kxPP/F3V5fhkMqx8R0AAABQiRGaAQAAADsIzQAAAIAdhGYAAADADkIzAAAAYAehGQAAALCD0AwAAADYQWgGAAAA7CA0AwAAAHYQmgEAAAA7CM0AAACV3IvPP62eXTpp0/q1Ba5vWr9WPbt00ovPP+2awmoQQjMAAICLjPrTUPXs0km39+yqzIwMV5eDayA0AwCAasnNJLm7le2Pm6ni6vvpaLyO/5wgScrJzlb0jm0VNxjKrJarCwAAADWHYVhlMjlnzs7Hq+wxx7BadSkrT1ajHAr6gy2bNkiSfH39lJ6epi2bN2jwkGHlPxDKBaEZAAA4jcnkpsyDW2XNvOjqUuxyq1NXdUL7y2TKk8o5NOfl5Wn7ls2SpBlPPqUXn39asd/t19kzZ9S4SZPyHQzlgtAMAACcypp5UXlp511dhkt9G7NXKSnnVb9BA/Xrf7c2b1ynfXv3aOtnG/Xw2AmuLg9FYE0zAACAk322ab0k6Y47B8jd3V133R0h6X9LNlD5EJoBAACc6PLly/pyZ7Qkqf/AQZKkPuH95OnlpZMnjis+7ogry0MxCM0AAABOtPPz7crKuqLmQS3UoWNnSVKdOnV0y223S5I+Y7a5UiI0AwAAOFH+Eoy7BgwscL3/3Vdnnbdv3azc3Fyn14VrIzQDAAA4yblzv+rA/n2SpLv+G5Lz9bzlNvn6+enihQvat3e3K8rDNRCaAQAAnGTb5k2yWq1qF9JBLVsFF7hnNpsV3q+/JB4IrIzYcg4AAMBJPtt8NQwfjY9Tzy6dim335a6dyszIUB0fH2eVBjsIzQAAAE5wNP5HHf85QSaTSXXr1Su2XXpamrKzsrTz8+2KuHeoEyvEtRCaAQAAnCB/ycWNXbpq6dtRxbZb9sYivb9iubZs2kBorkRY0wwAAFDB8vLytH3r1WOzBwwafM22+fcPfPetfj17psJrg2MIzQAAABVs3949+i0lRR6engq/465rtg2+rrXahrSXYRja+tkmJ1UIe1ieAQAAnMqtTl1Xl+CQ8qxzy38fALy1dx/5+PrabT9gYIR+iv9RWzZt0EN/Hl9udaD0CM0AAMBpDMOqOqH9XV2GwwyrVYZR9n7++dK/9M+X/uVw+wdGP6wHRj9s+/uz/3xJz/7zpULtBt0zRIPuGVL2AmEXoRkAADiNyeS8laEZWbnKK2PiNQzJWg6hGVUfoRkAAFRLVkPKs7q6ClQXPAgIAAAA2EFoBgAAAOwgNAMAAAB2EJoBAAAAOwjNAAAAgB2EZgAAAMAOQjMAAABgB6EZAACUA04AQeVglMcRjkUgNAMAgDJzs+ZJhiFLbp6rS0ENl52dLUmqVat8z/AjNAMAgDKrZVhUKyddaZlZFTbTB9iTl5enCxcuqE6dOuUemjlGGwAAlAvfy2d08ZKPTkvy9/WRp/sVmUwml9WTk52rXGvNCfCGu5tqyV152TkyrLmuLsdpTG6GDGXoypUrunTpkqxWq5o0aVLu4xCaAQBAufC2XJJSE5Se00QZ6f5yu5Dm0nqycqyy1qBZb3c3kzzNbrJmZ0rWGrRMxs1dbp515O7uLm9vbzVq1EgeHh7lPgyhGQAAlBtvyyV5X7okw2is2u0Hu7SW3T9dUnp2zQmPjf09FNLSR5mxm5SXcdHV5TiNu09d+XYYLLPZXKG/2SA0AwCAcldLefLy8nJpDVa3K7Ko5ixTkLuHvLy8ZDEsysu74upqnMbd8KmQmeU/qlKhedeuXVqxYoXi4uKUk5Oj4OBgDRs2TKNGjZKbW8mfaYyNjVVkZKRiY2N1+fJlNW/eXIMGDdL48ePl6elZAe8AAAAAVVGV2T0jMjJSEydO1J49e+Tn56cWLVooPj5ec+bM0aOPPiqr1Vqi/tavX69Ro0YpOjpaHh4eat26tU6dOqXXX39do0aN0pUrNecnNAAAAFxblQjNsbGxWrhwodzc3LRgwQLt2LFD69ev15o1a9SgQQNFR0drxYoVDvf3yy+/6Omnn1ZeXp6eeOIJ7dq1S2vWrNHWrVsVHBysw4cPa/78+RX4jgAAAFCVVInQvGzZMhmGoZEjRyoiIsJ2PSQkRDNnzpR0dSbaYrE41N8777yjnJwc3XrrrRo/frxt0XizZs308ssvS5I+/vhjpaSklPM7AQAAQFVU6UNzRkaGdu/eLUkaMWJEofsDBgyQj4+PUlNTFRMTY7c/wzC0fft2SdLw4cML3e/SpYuuu+46WSwWff7552WsHgAAANVBpQ/NcXFxslgs8vT0VIcOHQrdN5vN6ty5syTp4MGDdvs7ffq0zp8/L0nq2rVrkW26dOnicH8AAACo/ip9aE5MTJQkNWnSpNjjEIOCggq0daQ/Dw8PNWrUqMz9AQAAoPqr9FvOXbp0SZLk7+9fbBs/Pz9JUlqa/ZOH8vvz8/MrdgPskvRXHIvFIsMwdPjw4VL3IUkBuVb5uZepiyrFPd2kw4dNMjyvkxq0cnU5zmNyk6mM3ytlxfdaDcH3mtPxveY6fK/VEGX4XsvJyXH4QJRKH5qzs7MlXV2GUZz8Da2zsrKc3l9xyutEGs9alf6XARXC5FHb1SXUOHyvwVn4XoOz8L0Ge0wmU/UJzfmHjFxrZ4ycnBxJcujkofLurzg33XRTqV8LAACAyqXS/wiWvywjf1lFUfKXUeQvq3Ckv7S0NBmGUeb+AAAAUP1V+tDcsmVLSdKZM2eUm1v0+fFJSUkF2jrSX05Ojs6dO1fm/gAAAFD9VfrQ3KFDB5nNZmVnZysuLq7QfYvFYnvYLjQ01G5/TZs2VcOGDSVJ3333XZFtDhw44HB/AAAAqP4qfWj28fFRz549JUmrV68udH/Lli3KyMhQQECAwsLC7PZnMpnUr18/SdInn3xS6P6BAwd0/Phxmc1mhYeHl7F6AAAAVAeVPjRL0qRJk2QymbRq1Spt3LjRdj0+Pl7z5s2TJI0fP96264UkRUVFKTw8XNOnTy/U37hx42Q2m/X1119r+fLltrXNycnJeuqppyRdPX0wf0YaAAAANZvJKO5puEpm2bJlWrRokaSrh494e3srISFBVqtVffr00dKlS+Xu/r/NGN944w0tXrxYYWFh+uCDDwr1t3btWs2aNUtWq1WBgYGqX7++EhISZLFY1LFjR3344Yfy9vZ21tsDAABAJVbpt5zLN3nyZIWEhCgqKkpHjhxRSkqK2rZtq2HDhmn06NEFArMjhgwZohYtWigyMlKxsbH6+eef1bx5c0VERGjChAm2rekAAACAKjPTDAAAALhKlVjTDAAAALgSoRkAAACwg9AMAAAA2EFoBgAAAOwgNAMAAAB2VJkt51C97dq1SytWrFBcXJxycnIUHBysYcOGadSoUXJz42c72GcYhr777jt9/vnn+u6773T8+HFlZWUpICBAN910k0aNGqUePXoUel3+nu7XsnnzZrVu3bqiSkcVNHPmTK1Zs+aabQ4dOlTk9qWxsbG27U4vX76s5s2ba9CgQRo/fjzbnaKAX375RXfccYdDbT/44APbych8rlUMQjNcLjIyUgsWLJD0v4Nr4uPjNWfOHO3evVtLliwhOMOuvXv36pFHHpEkubm5qUWLFvL29tbJkye1bds2bdu2TZMnT9bf//73Il/fpEkTNWnSpMh7tWvXrqCqUdW1atVK9erVK/KeyWQqdG39+vWaOXOm8vLyFBgYqCZNmighIUGvv/66du7cqQ8++IDvN9h4enqqS5cuxd4/f/68kpKS5Onpqfbt2xe6z+da+SI0w6ViY2O1cOFCubm5af78+YqIiJB09Yj0cePGKTo6WitWrNC4ceNcXCkqO8Mw1LJlSz3yyCMaNGiQ/P39JUk5OTlavHix3nrrLS1btkyhoaHq27dvodcPHz5cU6dOdXbZqOL+8pe/aNiwYQ61/eWXX/T0008rLy9PTzzxhMaNGyeTyaTk5GSNGzdOhw8f1vz58/Xcc89VcNWoKho2bKiVK1cWe//xxx9XUlKSwsPD5evrW+g+n2vli+k7uNSyZctkGIZGjhxpC8ySFBISopkzZ0q6OhNtsVhcVSKqiBtuuEGbN2/Wgw8+aAvMkuTh4aHHHntMvXv3liR9/PHHrioRNdw777yjnJwc3XrrrRo/frxtJrpZs2Z6+eWXJV39/kxJSXFlmagiMjMz9fnnn0uS7r33XhdXUzMQmuEyGRkZ2r17tyRpxIgRhe4PGDBAPj4+Sk1NVUxMjLPLQxXj4+OjWrWK/+XZLbfcIkk6efKkkyoC/scwDG3fvl3S1dm/P+rSpYuuu+46WSwWWxACrmX79u26fPmy6tWrp9tuu83V5dQILM+Ay8TFxcliscjT01MdOnQodN9sNqtz587as2ePDh48qFtvvdUFVaK6yM7OliR5eXkVeT8mJkYJCQlKTU1VQECAOnfurCFDhqhhw4bOLBNVzNatW7Vjxw5lZGSofv366tKli4YMGVLoV+WnT5/W+fPnJUldu3Ytsq8uXbro+PHjOnjwoO67774Krx1V2/r16yVJgwYNKnbCgM+18kVohsskJiZKuvqgQnH/gw8KCtKePXtsbYHSMAxDW7ZskaRiH6r59ttvC/x969atWrx4sZ5//nmH16yi5vniiy8K/H3z5s1644039Oqrr9qWBEn/+7zz8PBQo0aNiuwrKCioQFugOOfOndOePXskSffcc0+x7fhcK18sz4DLXLp0SZIKrD/9Iz8/P0lSWlqaU2pC9fTxxx8rLi5OZrNZDz/8cIF7DRs21KRJk7R69WrFxMTo4MGDWrlypXr37q2srCw99dRTio6OdlHlqKyCgoL02GOPad26dfruu+904MABvfvuuwoNDdWlS5f06KOP6vDhw7b2+Z93fn5+Re6qkX9P4vMO9m3YsEFWq1XBwcG64YYbCt3nc61iMNMMl8n/dbnZbC62jYeHhyQpKyvLKTWh+jly5IheeuklSdLf//53tWjRosD9+++/v9BrunTposjISE2dOlXbt2/X3Llz1bdv32LDDmqeRx99tNC1W265Rd27d9eoUaN06NAhvfrqq3rvvfck8XmH8pW/NKO4BwD5XKsYzDTDZfI38b/Wzhg5OTmSil+HClxLUlKS/vKXvyg7O1sREREl2rrQZDJpxowZkqRTp07p6NGjFVUmqhEPDw9NmzZNkrRv3z7bDDOfdygvR48eVXx8vEwm0zWXZhSFz7WyITTDZfKXZeT/n0pR8n9Nmf9rS8BR58+f19ixY3X+/Hn16dNH8+bNK/GMSnBwsAICAiSxzhSOu/HGGyVJVqtVSUlJkv73eZeWlibDMIp8HZ93cMS6deskSd27d1ezZs1K/Ho+10qP0AyXadmypSTpzJkzys3NLbJN/v/h5LcFHJGamqqxY8fq1KlTCgsL02uvvXbNX4tfS/5Dqnl5eeVZIqqx33+v5X/f5H+G5eTk6Ny5c0W+js872GO1WrVp0yZJ134A0B4+10qH0AyX6dChg8xms7KzsxUXF1fovsVisT1IExoa6uzyUEVlZmZq4sSJ+umnn9S5c2ctW7as1L/uvnDhgn777TdJUmBgYHmWiWosISHB9nXjxo0lSU2bNrVt8/Xdd98V+boDBw5I4vMOxYuJidHZs2fl6empAQMGlKoPPtdKj9AMl/Hx8VHPnj0lSatXry50f8uWLcrIyFBAQIDCwsKcXR6qoJycHP31r3/VwYMH1aZNGy1fvlw+Pj6l7i8qKkqGYcjX11edO3cux0pRna1YsUKSdN1119lCiclkUr9+/SRJn3zySaHXHDhwQMePH5fZbFZ4eLjzikWVkr80o7hjsx3B51rpEZrhUpMmTZLJZNKqVau0ceNG2/X4+HjNmzdPkjR+/HjbU+VAcfLy8jR9+nTt3btXLVq00Lvvvmtbt1echIQEzZ49u8DMoHR1p4M333xTb7/9tiRpwoQJfA/C5ptvvtGCBQtsyynypaena86cObbPsj/usDFu3DiZzWZ9/fXXWr58uW1tc3Jysp566ilJV09H5eAJFCUrK0vbtm2TdO1js/lcqzgmo7gnEgAnWbZsmRYtWiTp6t6n3t7eSkhIkNVqVZ8+fbR06VK5u7u7tkhUehs3brQ9Fd6qVSvVq1evyHYNGzbU66+/Lkn68ccfNWTIEElSvXr11KRJE0nS8ePHdeXKFUlXQ8ycOXPYlgk2O3bssAXiwMBANWrUSLm5ufr5559lsVhkMpn06KOPaurUqYVeu3btWs2aNUtWq1WBgYGqX7++EhISZLFY1LFjR3344Yfy9vZ29ltCFZD/GVevXj199dVXxR4KxudaxWGfZrjc5MmTFRISoqioKB05ckQpKSlq27athg0bptGjRxOY4ZD87bok6eTJkzp58mSR7X7/tHmzZs00bdo0xcbG6vjx4zpx4oQsFovq16+v3r17a+TIkbrtttsqunRUMR07dtSkSZP0/fff69SpU0pISJBhGAoMDFS3bt304IMPFrsueciQIWrRooUiIyMVGxurn3/+Wc2bN1dERIQmTJhg25oO+KP8pRnXOjZb4nOtIjHTDAAAANjBmmYAAADADkIzAAAAYAehGQAAALCD0AwAAADYQWgGAAAA7CA0AwAAAHYQmgEAAAA7CM0AAACAHYRmAAAAwA5CMwDAZcaMGaN27dopJibGaWPOnDlT7dq106effuq0MQFUfYRmAJCUlJSkyZMn66abblKXLl00ZcoUnT59utj28+bNU4cOHRQfH1+q8fKD28yZM0tbMsrZjz/+qDfeeEM7duxwdSkAKiFCM4AaLzs7Ww8//LCio6NVt25dBQQEaPv27Ro9erQyMjIKtT927Jg+/PBD3X///QoJCXFBxSiLhg0bKjg4WL6+vgWu//jjj1q8eDGhGUCRCM0AarxVq1YpOTlZ999/v6Kjo/X555/rT3/6k5KTk7V69epC7V988UX5+Pho2rRpLqgWZTVjxgxt2bJFd955p6tLAVCFEJoB1HiHDx+WJE2cOFGSZDKZbF8fOHCgQNvPPvtMe/bs0YwZM+Tv7+/cQgEALkNoBlDj/fbbb5KkBg0a2K41atRIkpSenm67duXKFb3yyivq1KmThg8fXiG1xMTEqF27dhozZoxyc3P19ttva/DgwQoNDVV4eLgk6dNPP7Wth758+bIWLlyo/v37q3PnzhozZkyB/g4dOqTp06frtttuU6dOndSrVy/97W9/U1xcXLE1nDp1So899ph69Oih0NBQ3XvvvVq5cqUkKTw8XO3atdMvv/xS4DXt2rVTu3btiu2zuNcVJy0tTatWrdLkyZN155136oYbblDXrl01cuRIvf/++8rNzS3ydb+vY+vWrRo1apS6detWYOyiHgQMDw/XrFmzJElr1qyx9ZP/30VeXp569+6tdu3a6Ycffii27hdeeEHt2rXTv/71L4feJ4Cqo5arCwAAV2vatKkk6cSJE7Y1yidOnJBUMEi/+eabOnPmjF577TW5uVXsnINhGHr00Uf1xRdfqEWLFmrdurVycnIKtMnKytLo0aMVFxen6667Ttdff708PDxs96OiojRv3jwZhqGAgAC1adNGp0+f1tatWxUdHa2FCxfqrrvuKtBnfHy8xowZo7S0NHl5eal169ZKTU3V7NmzdezYsQp9z7+3c+dOPfPMMzKbzWrUqJHatm2r1NRU/fDDDzp06JC++eYbLVu2rNj/HiIjI7VgwQI1aNBArVq1UnJy8jXH69Spk8xms06ePKn69eurZcuWtntt27aVu7u7hgwZorfeektr165Vp06dCvWRk5OjTZs2SZKGDRtWhncPoDIiNAOo8Xr16qWPPvpIc+fOtc0Qzp07V5J0yy23SLo6+/ruu+9q2LBhuuGGGyq8pgMHDiggIED/+c9/dNNNN0m6+sDi723btk1BQUHatGmTWrduXaDNl19+qXnz5ikgIEAvvPBCgXC8atUqzZ49WzNnztSNN95om1W3Wq164oknlJaWpt69e+vVV1+1LUHZunWrHn/8cRmGUeHvXbo6Y/zWW2+pV69eBX4QSEpK0qxZs/TFF19o3bp1Gjp0aJGvf/311/Xiiy9q5MiRMplMxc5M/779p59+qlmzZql3796aN29eoTbDhw/XW2+9pY0bN+rJJ5+U2WwucP+LL75QamqqOnXqpDZt2pTiXQOozFieAaDG69+/v8LCwrR3717dfvvtuv3227V3716FhYVp8ODBkqSXXnpJXl5eevzxx22vy8jIsC3tKG95eXmaPXu2LTBLkqenZ6E2CxcutAXm37dZtGiRDMPQSy+9VGg2eeTIkXrooYeUmZmpVatW2a5/8803+umnnxQQEKCFCxcWWLPdv39/TZw4URaLpVzfZ3FCQkLUp0+fAoFZkoKCgvTyyy9LkjZs2FDs6++//3796U9/kslkkiTVqlVLtWqVbZ6oZcuW6tatmy5evKhdu3YVur9mzRpJzDID1RUzzQBqPJPJpMjISH3wwQeKiYmRyWRSjx49NHr0aLm7u2vnzp364osv9Mwzz6hevXo6ffq0Zs2apZiYGBmGoZYtW+qFF15Qjx49yq0mX19f3XHHHdds06ZNG3Xs2LHQ9eTkZB05ckT169cvto/w8HC9++67+vbbb23Xdu/eLUm66667Cm3HJl0Ng4sXLy7J2yiTnJwcbd26VTExMTpz5oyuXLlSYKb7Wntk33vvvRVS0/Dhw7V//36tWbNG/fr1s12/cOGCvvrqK5nNZg0aNKhCxgbgWoRmAJBUu3ZtTZw40bZrRr6cnBy9/PLLatu2rR588EHl5ORo/PjxOnXqlKZMmaIGDRpo6dKl+stf/qL169cXWAtbFi1btpS7u/s121x33XVFXv/pp58kXV2q8cADDxTZJn8Zx6+//mq7dvLkSUkq9oG+Zs2aycfHp8i9q8vb6dOnNXbsWNva8qJcunSp2Hu/n30vTwMGDNCcOXO0a9cuXbhwQfXq1ZN0ddbbYrGof//+CggIqJCxAbgWoRkAruHtt9/WqVOn9MEHH8jd3V3bt2/XsWPHNHXqVE2ZMkXS1YA2evRovf/++3r22WfLZVxvb+9St8nf8SMjI6PQlnl/9Pt10leuXJEk1alTp9j2derUcUponjlzpk6cOKHQ0FBNnTpV7du3l7+/v8xms3Jzc9WxY8drrlN25N+vNLy9vXX33Xdr9erV2rRpk223krVr10piaQZQnRGaAaAYp0+f1ttvv62IiAiFhYVJkr7//ntJUu/evW3tunfvrtq1a9vuuVp+YOzSpYttqzhH1K5dW5J0+fLlYttkZmZesw/DMGzriH/vWn3+0a+//qqYmBjVrl1bkZGRhWZuz5w543BfFWH48OFavXq11qxZozFjxujo0aOKi4tTw4YNddttt7m0NgAVhwcBAaAYc+fOlclk0j/+8Q/btfzw98fZ2Dp16hTY09mVrr/+eknS8ePHZbVaHX5dq1atJElHjx4t8v7p06eLnWXOD+oXLlwodC89PV0XL150uI7Tp09Lurr8pKilDsXVV1ZFhf2idOnSRdddd52OHDmin376yfYA4ODBg+0uqQFQdRGaAaAIu3fv1rZt2zR58mQFBgbarjdu3FjS1a3P8mVkZOjChQuqW7eu0+ssSqtWrWz7GucvG3BE/vZ627ZtKzIc//4wkD9q3ry5pP+drvh7v9+hwxFeXl6Srh46U9QWd8uXLy9Rf47K33kkKyvLbtv8ZRirV6+27eLB0gygeiM0A8AfWCwWvfjii2rVqpUeeeSRAvduvPFGSdI777xjO2wkMjJSVqtV3bp1c3KlxXv88cdlMpn0wgsvaNWqVYXW/yYlJWnZsmXatm2b7VqvXr3Url07Xbx4UY8//rjS0tJs93bs2KHIyMhCexPny1+usmjRIqWkpNiuf/nll1qyZEmJtnu7/vrr5e/vr7Nnz2rZsmW24Jydna05c+Zc8zTDsggKCpJ0Nfjnr+8uzpAhQ1SrVi393//9n1JSUtibGagBWNMMAH/w3nvv6fjx41q+fHmhfYJ79eqlbt26ad++fbr99tvl6+urxMREBQQE6KGHHnJRxYXdfvvtevbZZ/XSSy/pmWee0dy5c9WqVSuZTCadPXvWFmxnz55te42bm5teeeUVjRkzRjt37lTv3r3VunVrXbx4UcnJyRozZoyio6OVnJxcaBnCuHHjtG7dOv3444/q27evWrdurbS0NCUnJ2vixInatGmT3VP58pnNZk2bNk0vvPCCXnvtNf373/9WYGCgTp48qczMTL344ot65plnyu3fKl/Hjh3VqlUrnTx5Un369FFwcLDMZrNCQkL09NNPF2ibv355586dkphlBmoCZpoB4HfOnTunpUuXql+/fsU+1LV48WINGTJEeXl5Onv2rHr27Kn333+/wDKOymDUqFFau3atRo4cqXr16unnn39WYmKi6tatq4iICL322msaMmRIgdeEhITok08+0aBBg+Tp6amEhATVqVNHzz33nJ555pli13TXq1dPK1eu1IABA1S7dm2dOHFC/v7+mjt3rmbMmFGq2ufPn6/27dsrNTVVp06dUqdOnRQZGamRI0eW+t/kWtzc3PTWW2+pf//+cnd316FDh7Rv375i94MePny4JLE3M1BDmAxnnYkKAKjSLl68qB49esjPz6/AoSg11cqVKzV79mz1799fr7/+uqvLAVDBmGkGADgk/0HA3x/tXZOtXr1a0v9mnAFUb4RmAIDN0aNH9dFHHxXYj9kwDK1bt06vvfaaJOn+++93VXmVxtatW/XDDz8oKCiIvZmBGoIHAQEANqmpqXruuef0z3/+U02bNlVAQICSkpKUmpoqSbrvvvsUHh7u2iJdaMyYMcrMzLTt4PH3v/9dbm7MPwE1AWuaAQA2v/32m95991198803OnPmjDIyMuTj46P27dvrT3/6kwYOHOjqEl2qXbt2cnd3V7NmzfTnP/9ZDz74oKtLAuAkhGYAAADADn6nBAAAANhBaAYAAADsIDQDAAAAdhCaAQAAADsIzQAAAIAdhGYAAADADkIzAAAAYAehGQAAALCD0AwAAADY8f8B9O0+NKFPUT8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#######################################################################################\n",
    "# plot the FLOPS for comparison of computational requirements of perceiver and transformer\n",
    "sheet_name = 'noise-physionet' #physionet, mimic, flops\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "# plot AUPRC\n",
    "ig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(8,5))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "sns.barplot(data=data, x=\"% Irregularity\", y=\"AUPRC\", hue='Generation')\n",
    "plt.legend(loc=\"lower right\", frameon=True, fontsize=16)\n",
    "# sns.move_legend(ax, \"center\")\n",
    "plt.xlabel('% Irregularity', fontsize=16)\n",
    "# ax.set(xlabel=None)\n",
    "plt.ylabel('AUPRC', fontsize=16)\n",
    "ax.set_ylim([.45, .55])\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "# Turns off grid on the left Axis.\n",
    "ax.grid(False)\n",
    "\n",
    "# plt.savefig(sheet_name + '.pdf',dpi=300, bbox_inches='tight')\n",
    "\n",
    "# plot AUROC\n",
    "ig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(8,5))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "sns.barplot(data=data, x=\"% Irregularity\", y=\"AUROC\", hue='Generation')\n",
    "plt.legend(loc=\"lower right\", frameon=True, fontsize=16)\n",
    "# sns.move_legend(ax, \"center\")\n",
    "plt.xlabel('% Irregularity', fontsize=16)\n",
    "# ax.set(xlabel=None)\n",
    "plt.ylabel('AUROC', fontsize=16)\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "ax.set_ylim([.8, .875])\n",
    "# Turns off grid on the left Axis.\n",
    "ax.grid(False)\n",
    "\n",
    "# plt.savefig(sheet_name + '.pdf',dpi=300, bbox_inches='tight')\n",
    "#######################################################################################\n",
    "\n",
    "#######################################################################################\n",
    "# plot the FLOPS for comparison of computational requirements of perceiver and transformer\n",
    "sheet_name = 'noise-mimic' #physionet, mimic, flops\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "# plot AUPRC\n",
    "ig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(8,5))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "sns.barplot(data=data[data['Model']=='COPER'], x=\"% Irregularity\", y=\"AUPRC\", hue='Generation')\n",
    "plt.legend(loc=\"lower right\", frameon=True, fontsize=16)\n",
    "# sns.move_legend(ax, \"center\")\n",
    "plt.xlabel('% Irregularity', fontsize=16)\n",
    "# ax.set(xlabel=None)\n",
    "plt.ylabel('AUPRC', fontsize=16)\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "# Turns off grid on the left Axis.\n",
    "ax.grid(False)\n",
    "\n",
    "# plt.savefig(sheet_name + '.pdf',dpi=300, bbox_inches='tight')\n",
    "\n",
    "# plot AUROC\n",
    "ig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(8,5))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "sns.barplot(data=data[data['Model']=='COPER'], x=\"% Irregularity\", y=\"AUROC\", hue='Generation')\n",
    "plt.legend(loc=\"lower right\", frameon=True, fontsize=16)\n",
    "# sns.move_legend(ax, \"center\")\n",
    "plt.xlabel('% Irregularity', fontsize=16)\n",
    "# ax.set(xlabel=None)\n",
    "plt.ylabel('AUROC', fontsize=16)\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "# Turns off grid on the left Axis.\n",
    "ax.grid(False)\n",
    "\n",
    "# plt.savefig(sheet_name + '.pdf',dpi=300, bbox_inches='tight')\n",
    "#######################################################################################\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "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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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sheet_name = 'mimic' #physionet, mimic\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "\n",
    "# sns.set(style=\"darkgrid\")\n",
    "\n",
    "# plot AUROC\n",
    "p=sns.boxplot(x=\"% Irregularity\", y=\"AUROC\",\n",
    "            hue=\"Model\", palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "plt.legend(loc=\"lower left\", frameon=True, fontsize=15)\n",
    "plt.xlabel('% Irregularity', fontsize=15)\n",
    "plt.ylabel('AUROC', fontsize=15)\n",
    "plt.xticks(fontsize=13)\n",
    "plt.yticks(fontsize=13)\n",
    "plt.savefig(sheet_name + '-AUROC.pdf', dpi=300,bbox_inches='tight')\n",
    "\n",
    "# plot AUPRC\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "p=sns.boxplot(x=\"% Irregularity\", y=\"AUPRC\",\n",
    "            hue=\"Model\", palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "plt.legend(loc=\"lower left\", frameon=True, fontsize=15)\n",
    "plt.xlabel('% Irregularity', fontsize=15)\n",
    "plt.ylabel('AUPRC', fontsize=15)\n",
    "plt.xticks(fontsize=13)\n",
    "plt.yticks(fontsize=13)\n",
    "plt.savefig(sheet_name + '-AUPRC.pdf',dpi=300, bbox_inches='tight')\n",
    "\n",
    "#######################################################################################"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "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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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sheet_name = 'physionet' #physionet, mimic\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "\n",
    "# sns.set(style=\"darkgrid\")\n",
    "\n",
    "# plot AUROC\n",
    "p=sns.boxplot(x=\"% Irregularity\", y=\"AUROC\",\n",
    "            hue=\"Model\", palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "plt.legend(loc=\"lower left\", frameon=True, fontsize=14)\n",
    "plt.xlabel('% Irregularity', fontsize=14)\n",
    "plt.ylabel('AUROC', fontsize=14)\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "ax.set_ylim([.75, .92])\n",
    "plt.savefig(sheet_name + '-AUROC.pdf', dpi=300,bbox_inches='tight')\n",
    "\n",
    "# plot AUPRC\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "p=sns.boxplot(x=\"% Irregularity\", y=\"AUPRC\",\n",
    "            hue=\"Model\", palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "plt.legend(loc=\"lower left\", frameon=True, fontsize=14)\n",
    "plt.xlabel('% Irregularity', fontsize=14)\n",
    "plt.ylabel('AUPRC', fontsize=14)\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "ax.set_ylim([.3, .65])\n",
    "plt.savefig(sheet_name + '-AUPRC.pdf',dpi=300, bbox_inches='tight')\n",
    "\n",
    "#######################################################################################"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "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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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sheet_name = 'physionet-basic' #physionet, mimic\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "ig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "\n",
    "# sns.set(style=\"darkgrid\")\n",
    "\n",
    "# plot AUROC\n",
    "p=sns.boxplot(x=\"Model\", y=\"AUROC\",\n",
    "            palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "# plt.legend(loc=\"lower left\", frameon=True, fontsize=16)\n",
    "# plt.xlabel('Model', fontsize=16)\n",
    "ax.set(xlabel=None)\n",
    "plt.ylabel('AUROC', fontsize=16)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.savefig(sheet_name + '-AUROC.pdf', dpi=300,bbox_inches='tight')\n",
    "\n",
    "# plot AUPRC\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "p=sns.boxplot(x=\"Model\", y=\"AUPRC\",\n",
    "            palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "# plt.legend(loc=\"lower left\", frameon=True, fontsize=16)\n",
    "# plt.xlabel('Model', fontsize=16)\n",
    "ax.set(xlabel=None)\n",
    "plt.ylabel('AUPRC', fontsize=16)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.savefig(sheet_name + '-AUPRC.pdf',dpi=300, bbox_inches='tight')\n",
    "\n",
    "#######################################################################################"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "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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2bNmi5ORkxcbGqlu3bi7XsHXrVn3yyScKCQlRRESE68UDAAAAgBt53DV4+fn5sixLLVq0qLS9efPmkqS8vLxqxzlx4oTi4+PVp08fPfzwwzWq4Y033pAkPfroozXar74VFBSouLjYrTXAPc6/E+iZM2f4OUCDMeGus4C78XsawMXg6qpCjwt4p0+flqQqbwtfur2goKDacWbMmKGTJ08qISFB3t7eLh9/7969+uyzz9StWzfdfPPNLu/XEPbt2+fW48N9CgsLy77OyMhQo0aN3FgNTHb+zxqA2uH3NICLITQ01KV+HhfwSm8HX9WbjtJPm6tLsGvXrlVqaqri4uLUuXPnGh1/9erVkqT777+/Rvs1hKCgID4RvEydP6vSo0cPY56DB8/DDB5Qd/yeBuBJPC7gNWvWTF5eXlUuwSzdXrpU89eys7M1a9YshYSEaNy4cTU6tmVZ2rRpk7y9vXXHHXfUrPAGwLPPLl/nzzo3btyYnwU0mJqscABQOX5PA/AkHhfw7Ha72rdvr6ysLBUWFlZY8nDkyBFJUteuXSvdf/v27crNzdXu3bsVGBhYaZ9evXpJkg4dOlRu+xdffKGcnBwNGDBArVu3ruupAAAAAMBF5XEBT5L69eunzMxM7d69WwMGDCjXtmPHDtlsNoWEhFS6b2BgoGJiYiptW758ufLy8jRx4kR5eVW8gejnn38uSRWOCQAAAACXAo8MeFFRUUpKStLixYu1bNky+fn5SZLS0tLkcDgUHh4uf3//SvcNDAyscuYuJSVFeXl5mjRpUqXPxNu7d68k6frrr6+fEwEAAACAi8gjA15wcLCio6O1YsUKDRs2TOHh4crOztb69evVunVrTZs2raxvenq6HA6HAgMD6/zMutLlnx07dqzTOAAAAADgDh73oPNS8fHxio+Pl91uV2JiohwOhyIjI7Vq1SoFBASU9XM4HHr11VeVlpZW52MeP35cXl5e+s1vflPnsQAAAADgYvPIGTxJstlsGj16tEaPHl1tv9jYWMXGxro05ubNm6tt37Rpk8v1AQAAAICn8dgZPAAAAABAzRDwAAAAAMAQNQ54W7du1bp16yptS09P18iRI7VmzRpZllXn4gAAAAAArnM54J09e1bjx4/Xn//8ZyUnJ1faZ8eOHTpw4ID+8pe/aOzYscrLy6u3QgEAAAAA1XMp4FmWpUceeUQ7d+7UFVdcoX79+lXab+TIkZowYYKuuOIK7dq1q8oHjgMAAAAA6p9LAe+9997Tp59+qp49e2r9+vWaMGFCpf3at2+vxx9/XKtXr1aHDh3kcDiqXM4JAAAAAKhfLgW8999/X97e3lq0aJGuuuqqC/YPCAjQiy++KMuy9O6779a1RgAAAOCytW/fPs2cOVP79u1zdym4BLgU8A4cOKCgoCB16tTJ5YF79OihXr168YMIAAAA1JLT6VRSUpJOnDihpKQkOZ1Od5cED+dSwMvPz5e/v3+NB2/fvr1OnjxZ4/0AAAAASGlpaWXvp0+ePKm0tDQ3VwRP51LAa9OmjX7++ecaD37ixAn5+vrWeD8AAADgcpeTk6O0tLSyx49ZlqVNmzYpJyfHzZXBk7kU8Dp27Kgvv/xSZ86ccXngs2fP6sCBA+rQoUOtiwMAAAAuR5ZlVfpostLtPHMaVXEp4EVGRurkyZNKTEx0eeAVK1bo5MmTuvHGG2tdHAAAAHA5ys7OVkZGhkpKSsptLykpUUZGhrKzs91UGTydSwFv6NCh8vf310svvaTVq1dfsP+aNWv0wgsvqHHjxoqOjq5zkQAAAMDlpG3bturRo4e8vMq/Xffy8lKPHj3Utm1bN1UGT+fjSqcmTZpo4cKFGj9+vOLj47Vy5UpFRkaqT58+atWqlYqLi/Xzzz9rz549+uijj7R//355eXnphRde0G9/+9uGPgcAAADAKDabTVFRUZo3b16F7XfffbdsNpubKoOncyngSVLfvn2VkJCgqVOnav/+/Tpw4ECl/SzLUocOHfTcc8+xPBMAAACopTZt2igiIkIbN26UZVmy2WwKDw9X69at3V0aPJjLAU+SQkJC9OGHH2rDhg1KTU3V4cOHlZOTI29vb7Vp00a9evVSeHi4wsPDZbfbG6pmAAAA4LIQERGh9PR05ebmqkWLFoqIiHB3SfBwNQp4ktS4cWMNHz5cw4cPb4ByAAAAAJSy2+265557lJycrKioKCZRcEE1Dng1tWvXLvXt27ehDwMAAAAYKSgoSEFBQe4uA5cIl+6ieb4jR47oiy++UF5eXrX9Tpw4oWnTpmnMmDG1Lg4AAAAA4DqXZ/A+/fRTzZw5U19//bUkydvbW2PGjNGTTz5Z4fatSUlJWrRokXJzc+u3WgAAAABAlVwKeBkZGXrwwQdVVFQkb29vNW/eXL/88ouWLVsmSXr66aclSUePHlVcXJx2794ty7J01VVX6amnnmqw4gEAAAAA/8elJZqvv/66ioqKNHToUKWnp2vnzp1655131KpVKyUmJurEiRPauXOnRo4cqd27d0uS7r33Xq1fv56bsQAAAAB1sG/fPs2cOVP79u1zdym4BLgU8Pbs2aMrr7xSs2fPVrNmzSSde2TCU089peLiYq1cuVITJ05UXl6eOnfurHfeeUezZs1SixYtGrR4AAAAwGROp1NJSUk6ceKEkpKS5HQ63V0SPJxLAe/YsWMKDAxUkyZNym2/8cYbZVmW/v73v+v06dMaP368UlJSFBwc3CDFAgAAAJeTtLQ0nTx5UpJ08uRJpaWlubkieDqXAp7T6VTr1q0rbG/ZsqUkqbi4WPHx8YqLi+PZHAAAAEA9yMnJUVpamizLkiRZlqVNmzYpJyfHzZXBk7l8F02bzVZhm7e3tySpS5cuio6Orr+qcFFYlsU0v4c6//vC98iz2e32Sn8/AgBQF5ZlKTk5ucrtjz76KH9/UKl6edB59+7d62MYXGROp7PsDqjwXPHx8e4uAdVYsGCBfH193V0GAMAw2dnZysjIqLC9pKREGRkZys7Olr+/vxsqg6er8YPOK1M6kwcAAACg7tq2basePXpUeN60l5eXevToobZt27qpMni6epnBw6Wv/8jH5e3TyN1l4Dyl6+1ZfuF5iosK5VjzorvLAAAYzGazKSoqSvPmzauw/e677+b9AarkcsD7z3/+o2nTptW4zWazae7cubWrDheNt08jeftwgxwAAABP0aZNG0VERGjjxo2yLEs2m03h4eGV3vwQKOVywDty5IiOHDlS4zYCHgAAAFA7ERERSk9PV25urlq0aKGIiAh3lwQP51LAi4mJaeg6AAAAAPyK3W7XPffco+TkZEVFRfFIMlwQAQ8AAADwYEFBQQoKCnJ3GbhE1MtdNAEAAAAA7leju2hu3rxZH330kY4dO6arr75ad955p/r3799QtQEAAAAAasClgGdZlqZOnap169aV3bpdkpKSkjR+/Hgelg0AAAAAHsClgJeSkqIPP/xQTZs21b333quAgAB9+eWXSk5O1rJly9S/f3/dcsstDV0rAAAAAKAaLgW8Dz74QD4+Pnr77bcVGBhYtv2OO+7Qgw8+qJSUFAIeAAAAALiZSzdZ+fLLLxUaGlou3ElSWFiYrr32Wu3bt69BigMAAAAAuM6lgJebm6tWrVpV2tapUycdP368XosCAAAAANScSwGvqKhIPj6Vr+b09fVVQUFBvRYFAAAAAKg5noMHAAAAAIYg4AEAAACAIQh4AAAAAGAIlx6TIEmffPKJxo4dW2H74cOHJanSNkmy2Wxavnx5LcsDAAAAALjK5YB37NgxHTt2rMp2h8NR6XabzVbzqgAAAAAANeZSwJs3b15D1wEAAAAAqCOXAt6IESMaug4AAAAAQB1xkxUAAAAAMIRLM3jff//9Bfv4+vqqefPmstvtdS4KAAAAAFBzLgW88PBwlwds1aqVBgwYoIcfflg9e/asdWEAAAAAgJpxaYmmZVku/3fs2DF9+OGHuueee5SSktLQ9QMAAAAA/pdLM3gZGRkX7FNSUqJTp04pMzNTaWlpWr58uZ599lldd9116tKlS50LBQAAAABUr95usuLl5aXmzZurd+/emjJlihYtWqTCwkKtXLmyvg4BAAAAAKiGyw86r6nw8HAFBAQoPT29oQ6BelRc5HR3CcAlg9cLAADwVA0W8CSpe/fucjgcDXkI1IFlWWVfO9a85MZKgEvX+a8jAAAAd2vQ5+B5e3ursLCwIQ8BAAAAAPhfDTqDd/ToUbVu3bohD4E6sNlsZV/3H/mYvH14hiHgiuIiZ9ms9/mvIwAAAHdrsIB34MABHThwQIMHD26oQ6AeefvYCXgAAADAJa5Blmh++umnio2Nlc1m0/DhwxviEAAAAACAX3FpBm/s2LEX7GNZls6cOaPvv/9eJ06ckGVZuuuuu3TzzTfXtUYAAAAAgAtcCng1vRNmixYt9Mc//lEPPfRQrYoCAFx8zuISd5eASpTeqZXrPT0LrxcAnsqlgDdv3rwL9vHy8lLTpk0VEBCgrl27ytvbu87FAQAunoVbvnV3CQAAoI5cCngjRoyo1eC7du3SypUrtWjRolrtDwAAAABwXb3fRTM/P1/vvvuuVq1apa+//lqSCHgA4KHsdrsWLFjg7jJQBafTqfj4eEnS7NmzZbdzt2NPxPcFgCept4C3d+9erVq1SuvWrdPZs2dlWZa8vLx0ww031NchAAD1zGazydfX191lwAV2u53vFQDgguoU8M6ePasPPvhAq1at0oEDBySduxi8S5cuGjZsmIYNG6a2bdvWS6EAAAAAgOrVKuB99dVXWrVqld5//33l5+eXu8PX6tWrFRQUVK9FAgAAAAAuzOWAV1hYqNTUVK1atUq7d+8uW4I5aNAgjRw5UsuXL9eePXsIdwAAAADgJi4FvL/97W9as2aNfvnlF1mWpQ4dOmjkyJEaPnx42RLMd955p0ELBQAAAABUz6WA989//lONGzdWdHS07rrrLvXp06eh6wIAAAAA1JDLSzTPnDmj1NRU5efnKysrS7feeqv8/PwasjYAAAAAQA24FPC2bNmi5ORkpaSk6N1339V7772npk2bKjIyUlFRUczoAQAAAIAH8HKl029/+1vFxMRo06ZNeuuttzR06FAVFRXpv/7rv3T//fcrMjJS33zzTUPXCgAAAACoRo0fkxAWFqawsDDl5+frgw8+UHJysvbt2yfp3GMSRo0apaFDh2rIkCG66qqr6r1gAAAAAEDlXJrBq0yzZs30wAMPaPXq1Vq7dq3Gjx+vq666Srt379bzzz+v3/3ud/rjH/+od999t9bFJScna8SIEQoODlZYWJimTp2qrKysWo1VUFCgIUOGqHv37ioqKqq0z3//939r/PjxCg0NVd++fXXfffdp/fr1ta4fAAAAAC6mWge883Xt2lVxcXH6+OOP9corr+j3v/+9JGnbtm2aNm1arcZcuHChpk+fLqfTqVGjRiksLEzr1q1TVFSUjh49WuPxFi1apMOHD1fZnpCQoEceeURffvmlhg0bpjvvvFNHjhzR448/rjfffLNW5wAAAAAAF1ONl2hWO5iPj2677TbddtttOnbsWNlNWWrq4MGDWrp0qUJDQ7Vs2TLZ7XZJUmRkpCZNmqQ5c+ZoyZIlLo/ncDiUkJBQZftXX32lv/71r+ratasSEhLUqlUrSVJsbKz+8Ic/6IUXXtC9996rZs2a1fhcAAAAAOBiqZcZvMq0bt1ajzzyiD788MMa77tixQpJUkxMTFm4k6SIiAj1799fW7duVXZ2tktj5efnKy4uTj179ix7KPuvJSYmqrCwUDNnziwLd5LUqlUrTZkyRSNHjtTPP/9c4/MAAAAAgIupwQJeXezatUs+Pj7q27dvhbawsDBZlqWdO3e6NNbcuXOVk5Oj+fPny8en8gnLLVu26De/+U2lx7v77rs1a9YsdejQoWYnAQAAAAAXmccFvOLiYmVmZsrf37/c7F2p9u3bS1K119OVKn1+X2xsrLp161Zpn+PHj+unn37Stddeq59++kl/+ctfNHDgQF133XW6++67lZaWVrcTAgAAAICLxOMCXn5+vizLUosWLSptb968uSQpLy+v2nFOnDih+Ph49enTRw8//HCV/X766aey444cOVLp6ekaPHiwBg8erK+//lqTJk1SYmJiLc8GAAAAAC6eer3JSn04ffq0JFU6e3f+9oKCgmrHmTFjhk6ePKmEhAR5e3tX2e/UqVOSpD179uiGG27Qa6+9piZNmkiSvv76a917771asGCBbr31VrVr167G51MXBQUFKi4ubrDxnU5ng40NXC7OnDnToK9TXN7O/z3NzxoAXN5KM8qFeFzA8/X1lSQVFhZW2l76x666E1y7dq1SU1MVFxenzp07V3u888NffHx8uXG7dOmiMWPG6LXXXlNqamq1M4ENofQB8g2lqn9jAK7LyMhQo0aN3F0GDHX+72l+1gDg8hYaGupSP48LeM2aNZOXl1eVSzBLt5cu1fy17OxszZo1SyEhIRo3btwFj1c6TpMmTdSlS5cK7UFBQZKkI0eOuFR/fQoKCmIGD/BwPXr0qHLFAVBX5/+e5mcNAOAKjwt4drtd7du3V1ZWlgoLCyt8WlkatLp27Vrp/tu3b1dubq52796twMDASvv06tVLknTo0CEFBATIx8dHRUVFsixLNputXN/ST08bN25cp/OqjdLZzIZS3dJVAK5p3Lhxg79Wcfk6//c0P2sAAFd4XMCTpH79+ikzM1O7d+/WgAEDyrXt2LFDNptNISEhle4bGBiomJiYStuWL1+uvLw8TZw4UV5e5+4vY7fbdf3112vXrl369NNPKxzviy++kHTuk1MAAAAA8GQeGfCioqKUlJSkxYsXa9myZfLz85MkpaWlyeFwKDw8XP7+/pXuGxgYWOXMXUpKivLy8jRp0qRyz8QbNWqUdu3apfnz5yshIaFs2WZGRoZWrlypK6+8UhEREfV8lgAAAABQvzwy4AUHBys6OlorVqzQsGHDFB4eruzsbK1fv16tW7fWtGnTyvqmp6fL4XAoMDCw1iFs6NCh2rZtm9asWaOhQ4fq9ttv16lTp7R+/XoVFRVp4cKFatasWX2dHgAAAAA0CI8MeNK5O1p27txZ//rXv5SYmKgrr7xSkZGReuyxxxQQEFDWz+Fw6NVXX9WIESPqNMs2d+5c9e3bVytXrtTq1avVqFEj9evXT3/+85+rXA4KAAAAAJ7EYwOezWbT6NGjNXr06Gr7xcbGKjY21qUxN2/eXO3xoqKiFBUVVaM6AQAAAMBTeLm7AAAAAABA/SDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIbwcXcBAADUJ8uy5HQ63V1GvTj/PEw5J7vdLpvN5u4yAMBYBDwAgDEsy9LLL7+sb775xt2l1Lv4+Hh3l1AvOnXqpMmTJxPyAKCBsEQTAAAAAAzBDB4AwBg2m02TJ082ZjmjdG5WUpIxM14s0QSAhkXAgySpuKjQ3SXgV0x7U2cSXi+ezWazydfX191lAADgFgQ8SJIca150dwkAAAAA6ohr8AAAAADAEDardB0YGsTevXslSb1793ZzJRWZdCtx0zidzrI75s2ePVt2u93NFaEqXE8EAAA8CUs0L2Ncp3JpsNvtfJ8AAADgEpZoAgAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgfdxcAAAAA1CfLsuR0Ot1dRr2xLEuSZLPZ3FxJ/bHb7Uadjych4AEAAFzmTApElmXptdde07fffuvuUlCNjh07asKECcaEPE8KrAQ8AACAy5zT6dTTTz/t7jJwGcnMzFRcXJy7y6g3CxYskK+vr7vLkMQ1eAAAAABgDGbwAAAAUObaB0Pl1Yg5AE9i4jV4JigpLNFXb33m7jIqIOABAACgjFcjL3k18nZ3GQBqiY9nAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADCEj7sLqE5ycrLefvttZWZmys/PTwMHDtSUKVPUrl27Go9VUFCg4cOH6/Dhw9q/f798fMqf+uLFi7VkyZJK923SpIk+//zzWp0DAAAAAFwsHhvwFi5cqKVLl6pr164aNWqUfvjhB61bt07btm1TUlKSAgICajTeokWLdPjw4SrbDx48KJvNpokTJ8pms5Vra9SoUa3OAQAAAAAuJo8MeAcPHtTSpUsVGhqqZcuWyW63S5IiIyM1adIkzZkzp8rZtso4HA4lJCRc8JgBAQGaPHlynWoHAAAAAHfxyIC3YsUKSVJMTExZuJOkiIgI9e/fX1u3blV2drbatm17wbHy8/MVFxennj176tixY8rOzq7Q5/jx4/rpp590xx131N9JAAAAXIJKCovdXQJwSfDU14pHBrxdu3bJx8dHffv2rdAWFhYmh8OhnTt3atiwYRcca+7cucrJydGSJUs0YcKESvscPHhQktS9e/e6FQ4AAHAJsiyr7Ouv3trtxkqAS9P5ryF387i7aBYXFyszM1P+/v7lZu9KtW/fXpKqvZ6u1JYtW5ScnKzY2Fh169atyn6lAe/UqVN69NFHFRYWpuDgYI0ePVr//ve/a3kmAAAAAHBxedwMXn5+vizLUosWLSptb968uSQpLy+v2nFOnDih+Ph49enTRw8//HC1fUsD3ltvvaXf/e53GjlypI4eParNmzfrkUceUXx8vKKjo2txNgAAAJ7v/BvMXftgiLwaebuxGuDSUFJYXDbj/eubNLqTxwW806dPS1Kls3fnby8oKKh2nBkzZujkyZNKSEiQt3f1v6R8fHzUrl07zZo1S4MGDSrbvn//fkVHR2vu3Lm66aabymYPL5aCggIVF3vm2l40LKfTWfb1mTNn+DkAADSo8//ueDXyJuABNXQx3q81adLEpX4eF/B8fX0lSYWFhZW2l/4Cqu4E165dq9TUVMXFxalz584XPOaCBQsq3d6rVy+NGzdOS5Ys0bp166q8hq+h7Nu376IeD57j/J//jIwMHtUBAGhQVb3vAuCai/F+LTQ01KV+HhfwmjVrJi8vryqXYJZuL12q+WvZ2dmaNWuWQkJCNG7cuDrX07t3b0nS0aNH6zxWTQUFBTFzc5k6/5PUHj16VDmjDQBAfTj/7w6AmvOk92seF/Dsdrvat2+vrKwsFRYWVkjCR44ckSR17dq10v23b9+u3Nxc7d69W4GBgZX26dWrlyTp0KFDcjqdysjIUElJia6//voKfc+cOSNJ8vPzq+0p1VrpbCYuP+cvK27cuDE/CwCABnWhy1kAVM+T3q95XMCTpH79+ikzM1O7d+/WgAEDyrXt2LFDNptNISEhle4bGBiomJiYStuWL1+uvLw8TZw4UV5e524geurUKd17771q2rSpdu7cWSFQfvrpp5L+byYPAAAAADyVRwa8qKgoJSUlafHixVq2bFnZ7FlaWpocDofCw8Pl7+9f6b6BgYFVztylpKQoLy9PkyZNko/PuVNv2bKlbrzxRm3fvl2vvvqqpkyZUtb/k08+0erVq+Xv76/BgwfX81kCAAAAQP3yyIAXHBys6OhorVixQsOGDVN4eLiys7O1fv16tW7dWtOmTSvrm56eLofDocDAQEVERNTqeM8++6xGjRqlJUuWaNeuXbruuuv07bffasuWLfLz89PixYvdskQTAAAAAGrC4x50Xio+Pl7x8fGy2+1KTEyUw+FQZGSkVq1apYCAgLJ+DodDr776qtLS0mp9rI4dOyolJUX33XefvvvuOyUkJGjPnj268847lZKSUuVyUAAAAADwJB45gyede1jg6NGjNXr06Gr7xcbGKjY21qUxN2/eXGVb27ZtNWvWrBrVCM9jWZYRdwI7/xxMOJ9Sdrvdox4ECgAAYBqPDXhATVmWpZdfflnffPONu0upV/Hx8e4uod506tRJkydPJuQBAAA0EI9dogkAAAAAqBlm8GAMm82myZMnG7Ok0bIsSTJqtoslmgAAAA2LgAej2Gw2j3nIJAAAAHCxsUQTAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBA+7i4AAAAAnqOksMTdJeBXLMuSJNlsNjdXgvN56muFgAcAAIAyX731mbtLAFAHLNEEAAAAAEPYrNI5XzSIvXv3SpJ69+7t5koAAAAqZ1mWnE6nu8tAJZxOp+Lj4yVJs2fPlt1ud3NFqIzdbveYJbQs0QQAALjM2Ww2+fr6ursMXIDdbuf7hAtiiSYAAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgfdxcAAAAA1CfLsuR0Ot1dRr04/zxMOSdJstvtstls7i7DSDbLsix3F2GyvXv3SpJ69+7t5koAAADMZ1mWXn75ZX3zzTfuLgXV6NSpkyZPnkzIawAs0QQAAAAAQzCD18CYwQMAALi4TFqiKZ07H0lGzXaxRLPhcA0eAAAAjGKz2eTr6+vuMgC3YIkmAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAITw64CUnJ2vEiBEKDg5WWFiYpk6dqqysrFqNVVBQoCFDhqh79+4qKiq6YP+dO3eqR48emjp1aq2OBwAAAAAXm8cGvIULF2r69OlyOp0aNWqUwsLCtG7dOkVFReno0aM1Hm/RokU6fPiwS33z8/M1ffp0WZZV4+MAAAAAgLv4uLuAyhw8eFBLly5VaGioli1bJrvdLkmKjIzUpEmTNGfOHC1ZssTl8RwOhxISElzuP2fOnFrPFAIAAACAu3jkDN6KFSskSTExMWXhTpIiIiLUv39/bd26VdnZ2S6NlZ+fr7i4OPXs2VNt27a9YP/NmzdrzZo1uvXWW2tXPAAAAAC4iUcGvF27dsnHx0d9+/at0BYWFibLsrRz506Xxpo7d65ycnI0f/58+fhUP2F5/PhxxcfHq2/fvho7dmytagcAAAAAd/G4gFdcXKzMzEz5+/uXm70r1b59e0ly6Xq6LVu2KDk5WbGxserWrdsF+8+YMUOnT5/WvHnz5OXlcf80AAAAAFAtj0sx+fn5sixLLVq0qLS9efPmkqS8vLxqxzlx4oTi4+PVp08fPfzwwxc87vvvv68NGzZo6tSpZSESAAAAAC4lHneTldOnT0tSpbN3528vKCiodpwZM2bo5MmTSkhIkLe3d7V9s7Oz9fzzz2vAgAEaNWpULapuGAUFBSouLnZ3GQAAAADcrEmTJi7187iA5+vrK0kqLCystN3pdEqq/gTXrl2r1NRUxcXFqXPnzhc85vTp01VUVKS5c+fKZrPVouqqVRVUXbFv3756rAQAAADApSo0NNSlfh4X8Jo1ayYvL68ql2CWbi9dqvlr2dnZmjVrlkJCQjRu3LgLHm/lypXatm2bZs2apWuuuab2hVehe/futd43KCiIGTwAAAAALvO4gGe329W+fXtlZWWpsLBQjRo1Ktd+5MgRSVLXrl0r3X/79u3Kzc3V7t27FRgYWGmfXr16SZIOHTqkdevWSZKeffZZPfvssxX6fvDBB/rggw80YsQIzZ8/v9bnVRuls5kAAAAA4AqPC3iS1K9fP2VmZmr37t0aMGBAubYdO3bIZrMpJCSk0n0DAwMVExNTadvy5cuVl5eniRMnlt0lc8SIEerfv3+FvllZWUpJSVG3bt10++23VxkWAQAAAMBT2CzLstxdxK99/vnnuv/++xUcHKxly5bJz89PkpSWlqZJkyYpPDxcf//732s87q233qqsrCzt37//gs/ES09P19ixY3XXXXdp4cKFtToPAAAAALiYPHIGLzg4WNHR0VqxYoWGDRum8PBwZWdna/369WrdurWmTZtW1jc9PV0Oh0OBgYGKiIhwY9UAAAAA4F4e9xy8UvHx8YqPj5fdbldiYqIcDociIyO1atUqBQQElPVzOBx69dVXlZaW5sZqAQAAAMD9PHKJJgAAAACg5jx2Bg8AAAAAUDMEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEP4uLsAAJU7dOiQnE6nu8sAAAAewG63q3v37u4uA5cAZvAAAAAAwBA2y7IsdxcBAAAAAKg7ZvAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADOHj7gKAS9Err7yiV199VTExMYqNjb1g/7NnzyoxMVEbN27UN998o7Nnz+qqq65Snz59FBUVpd///vdlfb/77juFh4e7XEv//v2VmJioNWvWaNq0aZKkAQMGKCEhocp9ioqKNGjQIJ04cULt2rXT5s2bXT4eYIrzXzPn8/Lykp+fn/z9/XXTTTfpT3/6k1q3bu2GCmsuPT1dY8eO1V133aWFCxe6uxzgslX6PsFV8+bN08iRI8v+Pz09XcnJydqzZ49+/PFHeXl5qUuXLhoyZIiio6Pl5+dXbv+4uDilpKRo0KBB+uc//1nlccaMGSOHw6FNmzbpmmuuqfmJ4ZJAwAMa2IkTJxQdHa2vv/5aQUFBGjp0qJo1a6YffvhBmzdv1oYNG3TPPfdo9uzZstlsuuKKKxQTE1NujKysLKWkpKhdu3YaMWJEubZ27dpVOOauXbv0888/q1WrVpXWtH37dp04caL+ThK4hPXo0UMRERFl/29Zls6cOaPPP/9cy5cv10cffaSkpCS1adPGjVW6pl27doqJiVH37t3dXQpwWevfv3+Fv+VpaWnKyMhQeHi4AgMDy7WV/v+pU6c0Y8YMvf/++2ratKluuukmhYeHKzc3V5988on++te/KiUlRcuXL6/0b/y2bduUlJSke+65p+FODh6PgAc0sEWLFunrr7/WM888ozFjxpRrO378uKKjo5WUlKQbb7xRkZGRuuKKKyrMCqanp5cFvAvNGLZp00Y5OTnasGGDRo0aVWmfdevWqWnTpjp16lTdTg4wQGBgYJWvq6eeekrvvfeeXnnlFc2aNesiV1Zz11xzjUurCgA0rAEDBmjAgAHltmVlZSkjI0MRERHlZuvO9+STT2rTpk2KjIzUjBkz1KJFi7I2p9OpOXPmaNWqVXr44Ye1Zs0aeXlVvNpq/vz5GjRokH7729/W70nhksE1eEADS0tLU5MmTTR69OgKbVdddZWmTp0qSUpNTa2X44WHh8vHx6fK8ZxOp9LS0srNWACo3IQJEyRJW7ZscXMlAEz3/vvva9OmTerXr58WLVpULtxJkt1u13PPPadevXrp4MGD2rBhQ4UxevXqpfz8fD3zzDMXq2x4IAIe0MCKiop05swZHTlypNL2sLAwvfjii3rkkUfq5XhXXnmlwsLCtGvXLh07dqxC+8cff6z8/HwNHTq0Xo4HmOzqq6+WpHJLmn/55RctWLBAERERCgoK0o033qgnnnhCX3/9dbl909PT1b17d73xxhuaOXOmgoOD1b9/f7399ttlfXbs2KFHH31UN9xwg4KDgzV8+HCtXLlSxcXF5caq6TFLPziaP3++unfvrjVr1lQ4N8uydOuttyokJERnz54t2/7xxx9r/Pjx6tu3r6677joNGzZMiYmJKikpKbf/mDFjFBwcrM8//1xDhgxR7969NXToUJ05c6Ym/8QA/ldSUpIkadKkSZXOzEnnrhGOi4vTc889p6CgoArtsbGx6tixY9lSTVyeCHhAAxs0aJAsy1J0dLTeeOMNHT58uFx7kyZNyt4c1ZchQ4aouLhYH330UYW2Dz/8UC1bttTAgQPr7XiAqTIzMyVJ/v7+kqSffvpJd999t958801dffXVGjt2rAYOHKiNGzfq7rvv1meffVZhjOXLl2vjxo26//771b9/f11//fWSpLffflsPPvigHA6HBg4cqPvuu09nz57VjBkzyi0Hrc0xS5Ves7t27doKbbt27VJWVpaGDBlSdsOGpUuX6k9/+pMOHTqkO+64Q9HR0SopKdHzzz+vxx9/XJZllRujsLBQEyZMUMeOHRUdHa1+/fqpcePGrv8DA5B07tq7Tz/9VE2aNFHfvn2r7du/f3+NGjVKAQEBFdp8fX01b948eXl5af78+frhhx8aqmR4MK7BAxrYM888o6+++kr/8z//o0WLFmnRokVq06aNQkNDdeONNyoiIqLKm6HU1m233abnnntO69evL3cd3unTp7V161YNGzZMPj68/IHqFBUV6cUXX5QkDR48WJI0c+ZMHT16VLNnz9a9995b1vehhx7SfffdpyeffFIfffRRudfX8ePHtXbtWnXp0qVs23fffacFCxaoTZs2evvtt9WhQwdJ0pQpU/TAAw9o1apVio6OVrdu3Wp1zFLdu3dXr169tHPnTh07dqzc3UDff/99Sf8XAg8cOKAXXnhB3bp1U0JCglq2bCnp3DVBTz75pNauXaukpKRyNRQWFmrQoEFatGhR7f6RAUiSfvzxR1mWpYCAADVq1KhOY4WEhGjcuHF666239Mwzz1R7V02YiRk8oIG1bt1aKSkpmj59uoKCgmSz2ZSTk6PU1FQ9++yzuvnmm7V48eIKS7Lq4oorrtCgQYMqLNPctGmTzpw5ozvvvLPejgVc6g4ePKhXXnml7L+XX35ZM2fO1NChQ7VlyxZde+21mjBhgo4dO6ZNmzapd+/e5UKOdO5GLcOGDVNWVpa2b99erq1bt27lwp107kZHTqdTf/zjH8vCnXTu0/dp06YpNjZW3t7etT7m+YYPH67i4mKtW7eubJvT6dSGDRsUEBCg0NBQSeeWh5WUlGjq1Kll4U46tyTsqaeeKuvza0OGDKny2ABcc/LkSUnnVvXUh8cff5ylmpcxPsIHLgK73a5x48Zp3LhxOn78uBwOh9LT07V161Z9//33WrJkifLy8vTss8/W2zGHDBmiLVu2aMOGDYqOjpZ0bnmmv7//BZd/AJeTjIwMZWRklP2/l5eXmjZtqg4dOig2Nlbjx49Xs2bN9Nlnn8myLDmdTr3yyisVxvnxxx8lnZsJO//ZlpUtozp48KAkKTg4uEJbv3791K9fP0nnroerzTHPd9ddd+mvf/2r1q5dq7Fjx0qStm7dqtzcXI0dO1Y2m02StHfvXknSv//9b33xxRcVxvHz89PBgwdlWVbZPpJ4lhZQD0o/VCkNenXl5+enefPmKTo6mrtqXoYIeMBFdtVVV2nw4MEaPHiwnnnmGa1atUqzZ8/WqlWrNGnSpHpbrhkeHi5fX1+lpqYqOjpaJ0+e1LZt2zRmzJhyb86Ay92IESM0f/78C/bLzc2VJB06dEiHDh26YL9Sv34gsXTupimS1KxZswY55vlatmypm2++WRs3btSRI0fUvn17vf/++7LZbBo2bFhZv9I3lomJidXWdOrUqXJ1c80dUHf+/v5q1KiRvv/+ezmdTtnt9ir7nj17Vjk5OZV+eHS+kJAQjR07VsuWLWOp5mWGgAc0oBUrVuj111/XY489pqioqArt3t7eio6O1qZNm7R9+3Z9++239RbwmjVrpptuukmbN2/WsWPH9PHHH6uwsJC7ZwK11LRpU0nSAw88oBkzZtTLWPn5+RXaioqKVFJSIrvdXm/HHD58uDZu3KgPP/xQ0dHR+vjjj9WvX79ybxBLj/XJJ5/U+3XBAKrn5+enG264Qf/+97/12WefKSwsrMq+GzZs0FNPPaWbb75Zr7/+erXjTpkyRVu3bmWp5mWGa/CABtSyZUtlZ2eXu/alOqV36qsvkZGRKikp0UcffaT169erY8eOld5WGcCFBQYGSlKlyxelc0ugX3zxxXLLPavSo0cPSdKePXsqtG3dulXXXXedXn/99Xo75s0336xWrVpp48aN+uijj+R0OjV8+PByfUqPVVlN+fn5mjNnTrlHPACoX6XX2b7yyisV7lhbqrCwsGyWfdCgQRcc08/PT3Pnzi27q+ZPP/1UfwXDYxHwgAZ022236ZprrtG2bdu0cOFCOZ3OCn3Wr1+vHTt2aODAgWXP3Kovt9xyixo3bqzk5GTt3LmT2TugDq6++moNHDhQ+/fv1/Lly8u1HT58WDNnztQbb7xxwWWX0rnr4ry9vfXmm28qKyurbLvT6dTSpUslSTfddFO9HdPHx0d33nmn9u/frxUrVqhx48ZldwYtdffdd0uS/va3vyknJ6dc26JFi5SQkFB27SCA+nf77bdr0KBB+uyzz/T//t//qzDDn5+fr7i4OO3du1fdunXTfffd59K4oaGhGjt2rPLz88se/QKzsUQTqIOUlBQ5HI5K29q3b685c+bojTfe0EMPPaSlS5fq3Xff1cCBA9W2bVudPn1an3/+ufbt26eOHTu6dA1QTTVp0kS///3vlZqaKkkEPKCOZs+erejoaM2dO1cbNmxQnz599Msvvyg1NVWnT5/WX/7yF5duOtKhQwc99dRTmjdvnoYPH67w8HBdccUV2rp1q7799ltNmDBBPXv2rNdjjhgxQsuXL9eBAwc0bNiwsiWZpUJCQjRx4kT9/e9/19ChQ3XrrbeqZcuW+vTTT7V371517txZTzzxRO3+4QC45KWXXlJMTIw+/PBDbd26Vbfccov8/f31448/6pNPPtHx48fVuXNnvfbaa9Vep/drpUs1CXiXBwIeUAdZWVnlPn0/X+kNC7p06aL169frnXfe0ccff6xt27YpNzdXjRs3VufOnfXUU08pOjq60hsx1IfIyEilpqaqR48eFW7VDqBm2rVrpzVr1uj111/Xpk2blJiYqBYtWigkJEQPPfSQBg4c6PJY48ePV6dOnfTmm29q48aNKigoUJcuXfT888/rnnvuqfdjBgYGqkePHsrIyCh79t2vPfbYYwoKClJiYqLS0tJUWFioq6++WhMmTNCDDz6oK6+80uXzA1BzzZo10z/+8Q9t2rRJycnJ+s9//qOffvpJjRo10rXXXqtHH31UDzzwgHx9fWs0bulSzdGjR6ukpKSBqoensFlVLfIFAAAAAFxSuAYPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAzx/wEbc8abEIej1QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sheet_name = 'mimic-basic' #physionet, mimic\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "ig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "\n",
    "# sns.set(style=\"darkgrid\")\n",
    "\n",
    "# plot AUROC\n",
    "p=sns.boxplot(x=\"Model\", y=\"AUROC\",\n",
    "            palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "# plt.legend(loc=\"lower left\", frameon=True, fontsize=16)\n",
    "# plt.xlabel('Model', fontsize=16)\n",
    "ax.set(xlabel=None)\n",
    "plt.ylabel('AUROC', fontsize=16)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.savefig(sheet_name + '-AUROC.pdf', dpi=300,bbox_inches='tight')\n",
    "\n",
    "# plot AUPRC\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(10,6))\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "p=sns.boxplot(x=\"Model\", y=\"AUPRC\",\n",
    "            palette=sns.color_palette(),\n",
    "            data=data)\n",
    "sns.despine(offset=10, trim=True)\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "# plt.legend(loc=\"lower left\", frameon=True, fontsize=16)\n",
    "# plt.xlabel('Model', fontsize=16)\n",
    "ax.set(xlabel=None)\n",
    "plt.ylabel('AUPRC', fontsize=16)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.savefig(sheet_name + '-AUPRC.pdf',dpi=300, bbox_inches='tight')\n",
    "\n",
    "#######################################################################################"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/7b/g3bw5x3s3yxdyrkpvzyqyk480000gp/T/ipykernel_39058/1457825793.py:10: FutureWarning: \n",
      "\n",
      "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n",
      "\n",
      "  sns.barplot(data=data, x=\"Dataset\", y=\"FLOPS\", hue='Latents', ci=None)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#######################################################################################\n",
    "# plot the FLOPS for comparison of computational requirements of perceiver and transformer\n",
    "sheet_name = 'flops' #physionet, mimic, flops\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "ig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(8,5))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "sns.barplot(data=data, x=\"Dataset\", y=\"FLOPS\", hue='Latents', ci=None)\n",
    "# plt.legend(loc=\"upper left\", frameon=True, fontsize=16)\n",
    "sns.move_legend(ax, \"center\")\n",
    "# plt.xlabel('Model', fontsize=16)\n",
    "ax.set(xlabel=None)\n",
    "plt.ylabel('FLOPS', fontsize=16)\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=16)\n",
    "# Turns off grid on the left Axis.\n",
    "ax.grid(False)\n",
    "\n",
    "plt.savefig(sheet_name + '.pdf',dpi=300, bbox_inches='tight')\n",
    "#######################################################################################\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sheet_name = 'flops-others' #physionet, mimic\n",
    "data = pd.read_excel('results-final.xlsx', sheet_name=sheet_name)\n",
    "\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(8,5))\n",
    "# sns.set(font_scale = 10)\n",
    "# sns.set_theme(style=\"ticks\", palette=\"pastel\")\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "\n",
    "# sns.set(style=\"darkgrid\")\n",
    "\n",
    "# plot AUROC\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "sns.barplot(data=data, x=\"Dataset\", y=\"AUROC\", hue='Model')\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "# plt.legend(loc=\"lower left\", frameon=True, fontsize=16)\n",
    "sns.move_legend(ax, \"center\")\n",
    "\n",
    "# plt.xlabel('% Irregularity', fontsize=16)\n",
    "ax.set(xlabel=None)\n",
    "plt.ylabel('AUROC', fontsize=16)\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=12)\n",
    "ax.set_ylim([.7, .87])\n",
    "plt.savefig(sheet_name + '-AUROC.pdf', dpi=300,bbox_inches='tight')\n",
    "\n",
    "# plot AUPRC\n",
    "fig, ax = plt.subplots(1, 1,gridspec_kw={'wspace': 0.4},figsize=(8,5))\n",
    "sns.set_theme(style=\"whitegrid\", palette=\"pastel\")\n",
    "sns.barplot(data=data, x=\"Dataset\", y=\"AUPRC\", hue='Model')\n",
    "# plt.legend(loc=\"upper left\", frameon=True, fontsize=16)\n",
    "\n",
    "# p.set_ylabel(\"AUROC\", fontsize = 20)\n",
    "# p.set_xlabel(\"% Irregularity\", fontsize = 20)\n",
    "# p.set_title(\"Plot\", fontsize = 20)\n",
    "# plt.legend(labels=[\"COPER\",\"Perceiver\",\"LSTM\"], fontsize = 20)\n",
    "\n",
    "# plt.legend(bbox_to_anchor=(0,1.02,1,0.2), loc=\"lower left\",\n",
    "#                 mode=\"expand\", borderaxespad=0, ncol=3, frameon=False, fontsize=20)\n",
    "# plt.legend(loc=\"lower left\", frameon=True, fontsize=16)\n",
    "sns.move_legend(ax, \"center\")\n",
    "# plt.xlabel('% Irregularity', fontsize=16)\n",
    "ax.set(xlabel=None)\n",
    "plt.ylabel('AUPRC', fontsize=16)\n",
    "plt.xticks(fontsize=16)\n",
    "plt.yticks(fontsize=12)\n",
    "ax.set_ylim([.25, .55])\n",
    "plt.savefig(sheet_name + '-AUPRC.pdf',dpi=300, bbox_inches='tight')\n",
    "\n",
    "#######################################################################################"
   ]
  }
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