data_exploration.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imports\n",
    "import utils.data_exploration as de\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import numexpr as ne\n",
    "import matplotlib.pyplot as plt\n",
    "from torchmetrics.functional.classification import binary_stat_scores\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load Dataframe and confusion matrix\n",
    "def load_df(i):\n",
    "    df = pd.read_parquet(f\"parquet_data/R{i}_df.parquet\")\n",
    "    CM_df = pd.read_parquet(f\"parquet_data/R{i}_CM_df.parquet\")\n",
    "    CM = np.load(f\"parquet_data/R{i}_CM.npy\", allow_pickle=False)\n",
    "\n",
    "    return df, CM_df, CM\n",
    "\n",
    "\n",
    "df, CM_df, CM = load_df(5)\n",
    "conf_matrix_total = np.sum(CM, axis=0)\n",
    "metrics = de.conf_matrix_metrics(conf_matrix_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FALSE NEGATIVES\n",
      "Total \n",
      "       window idx  event_idx  Pred probability  Pred label  True label Result\n",
      "0               0          0            10.54%           0           1     FN\n",
      "62              0          1            11.75%           0           1     FN\n",
      "63              1          1             4.74%           0           1     FN\n",
      "64              2          1             7.77%           0           1     FN\n",
      "65              3          1             7.64%           0           1     FN\n",
      "...           ...        ...               ...         ...         ...    ...\n",
      "80543           5       1299            33.50%           0           1     FN\n",
      "80544           6       1299            34.76%           0           1     FN\n",
      "80545           7       1299            34.71%           0           1     FN\n",
      "80546           8       1299            41.00%           0           1     FN\n",
      "80547           9       1299            49.00%           0           1     FN\n",
      "\n",
      "[13685 rows x 6 columns]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LIMITS RANGE range(0, 6)\n"
     ]
    },
    {
     "data": {
      "image/png": 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9o9cRMIfFrTzyyCNasGCBHn/8cbVo0UJBQUHy8PBQ7969L3lp49SpUzVgwAB9/PHH+uKLL/Too49q/PjxWrNmjapWrarc3Fx5eHjo888/L/BdX0BAgFO11qhRQ/fee69ee+21Ai9RvdL7k85P4B0wYIC6d++uJ598UpUrV7ZPqrzwXZWzevXqpZEjR2rZsmV6/PHH9e677yooKEidOnVyOJ7KlSs7vIu/UN5EXw8PD7333ntas2aNPvnkE61YsUL33Xefpk6dqjVr1lzWcRfmwneKV8vVesyvtP79+2vy5Mn66KOP1KdPHy1ZskTdunVzOAvxT+T9/Q0bNkw2m63APn8P3VdzfAo7c1NYu2VZkv46jjfffNNhzlaey72C7lL7vZi8miZPnlzo5c5//7sp6LENDw9XmzZt9O677+rpp5/WmjVrtGfPHk2cONHeJycnR7feequOHTump556SnXr1lWZMmW0f/9+DRgwwKhLyK9FBBY38t577yk2NlZTp061t/3555+FXuHxdw0aNFCDBg00atQorV69Wq1atdLs2bP1/PPPq2bNmrIsS9WrV7e/i/6nRo0apbfeesvhBSFPUfdXrVo1SeffwV54tc65c+eUmprqMFn2vffeU40aNfTBBx84vJvLe4ebx9lvp6xevbqaNWumpUuXaujQofrggw/UvXt3+fj4OBzPl19+qVatWhXpH6KbbrpJN910k1544QUtWbJE99xzj9555x098MADF71f3jv5C4/hl19+kaRLTobMeyx37NihGjVq2Nuzs7O1a9cu+5m8PAcOHMh3Sejf91XUxzxP3rvlC/3yyy9X5NtaLzau9evXV6NGjbR48WJVrVpVe/bsceq7gi5Vd97jWbp06XyP4z9VnN+mWrNmTUlS5cqVr/hxXEphx5lXU2Bg4D+uqVevXhoyZIh27NihpUuXyt/fX7fddpt9/U8//aRffvlFCxcuVP/+/e3teR/L45/hIyE34uXlle8dySuvvKKcnJyL3i8jI0Pnzp1zaGvQoIE8PT3tH0Xceeed8vLy0tixY/Ptw7IsHT161Ol6a9asqXvvvVdz5szJN7+iqPtr0qSJKlasqLlz5zocw+LFi/OdTs57F3fh9tauXauUlBSHfnlXUxU16EnnX+jWrFmj+fPn68iRIw4fB0lSz549lZOTo3HjxuW777lz5+z7On78eL7jzXvXWJSPhQ4cOKAPP/zQfjsjI0OLFi1SVFRUge+ILxQTEyNvb2+9/PLLDjW8/vrrOnnypLp27Zqv7jlz5thvZ2dna86cOapUqZKio6MlFf0xz/PRRx85zOVYt26d1q5dq86dO1/q0C+pTJkyFz1l369fP33xxReaPn26Klas6NQ+L1V35cqV1a5dO82ZM6fAeVuHDx924kgc5QVGZ56vl8tmsykwMFD//ve/C5xj9U+O41IKO87o6GjVrFlTU6ZM0R9//PGParrrrrvk5eWlt99+W8uWLVO3bt0cAnlBz2fLsvTSSy85cygoBGdY3Ei3bt305ptvKigoSPXq1VNKSoq+/PJLVaxY8aL3++qrrzR06FD16NFDderU0blz5/Tmm2/Ky8tLd911l6Tz4eL555/XyJEj7ZcNly1bVrt27dKHH36oBx98UMOGDXO65meeeUZvvvmmduzYoRtuuMHeXtT9eXt7a8yYMXrkkUfUoUMH9ezZU6mpqXrjjTdUs2ZNh3dl3bp10wcffKA77rhDXbt21a5duzR79mzVq1fP4YXOz89P9erV09KlS1WnTh1VqFBB9evXv+i3Cffs2VPDhg3TsGHDVKFChXzv9Nq2batBgwZp/Pjx2rx5szp27KjSpUtr586dWrZsmV566SXdfffdWrhwoV599VXdcccdqlmzpk6dOqW5c+cqMDBQXbp0ueTjWadOHd1///364YcfFBISovnz5ys9PV0LFiy45H0rVaqkkSNHauzYserUqZP+7//+Tzt27NCrr76qpk2b5puAGh4erokTJyo1NVV16tTR0qVLtXnzZr322mv2y5+L+pjnqVWrllq3bq3BgwcrKyvLHh6GDx9+yfovJTo6WkuXLlV8fLyaNm2qgIAAh3fPffv21fDhw/Xhhx9q8ODBTn3pWlHqnjlzplq3bq0GDRpo4MCBqlGjhtLT05WSkqJ9+/Zpy5Ytl3VcNWvWVLly5TR79myVLVtWZcqUUfPmza/KHJjAwEDNmjVL/fr1U+PGjdW7d29VqlRJe/bs0fLly9WqVSvNmDHjiu9Xuvhxzps3T507d9YNN9yguLg4ValSRfv379eqVasUGBioTz75pEj7qFy5stq3b69p06bp1KlT+d541K1bVzVr1tSwYcO0f/9+BQYG6v333y/SXBsUQbFek4Sr6sJLgwty/PhxKy4uzgoODrYCAgIsm81mbd++/ZKXfP7+++/WfffdZ9WsWdPy9fW1KlSoYLVv39768ssv8+3j/ffft1q3bm2VKVPGKlOmjFW3bl3r4Ycftnbs2HHZtcfGxlqSHC5rdnZ/L7/8slWtWjXLx8fHatasmfX9999b0dHRVqdOnex9cnNzrX//+9/2fo0aNbI+/fTTfJd+WpZlrV692oqOjra8vb0dLnG+2KWKrVq1siRZDzzwQKGPw2uvvWZFR0dbfn5+VtmyZa0GDRpYw4cPtw4cOGBZlmVt3LjR6tOnj/Wvf/3L8vHxsSpXrmx169bNWr9+faHbzFOtWjWra9eu1ooVK6yGDRtaPj4+Vt26dfNdrn6p59GMGTOsunXrWqVLl7ZCQkKswYMHW8ePH3fok3cZ+vr1660WLVpYvr6+VrVq1awZM2Y49CvqY553ue3kyZOtqVOnWhEREZaPj4/Vpk0ba8uWLQ7bvNzLmv/44w+rb9++Vrly5SxJBV7i3KVLF0uStXr16gIfm79zpm7LsqzffvvN6t+/vxUaGmqVLl3aqlKlitWtWzfrvffes/e51PgU5OOPP7bq1atnlSpVyuHS34s9zhfKe7yK+lxZtWqVZbPZrKCgIMvX19eqWbOmNWDAgEs+Twu7rLmgv/2C/i4LO07LOv/1DHfeeadVsWJFy8fHx6pWrZrVs2dPKykpyd4n77lz+PDhQmucO3euJckqW7asdebMmXzrt23bZsXExFgBAQFWcHCwNXDgQGvLli356uGyZud5WFYRZi0BJUxubq4qVaqkO++8U3PnznV1OcUiMjJS9evX16effurqUq5Zd9xxh3766Sf9+uuvReqfmpqq6tWra/LkyZd1hhHAX5jDghLvzz//zDfvY9GiRTp27Fi+Hy8ECnPw4EEtX75c/fr1c3UpgFtiDgtKvDVr1uiJJ55Qjx49VLFiRW3cuFGvv/666tevX+Tv0YD72rVrl77//nvNmzdPpUuXdvgyPADFh8CCEi8yMlIRERF6+eWXdezYMVWoUEH9+/fXhAkTLutn7OFevv76a8XFxelf//qXFi5ceMmrqQBcHcxhAQAAxmMOCwAAMB6BBQAAGK9EzGHJzc3VgQMHVLZs2WL9GmoAAHD5LMvSqVOnFB4e7vAr8AUpEYHlwIED+X5FFAAAXBv27t2rqlWrXrRPiQgsZcuWlXT+gC/8mW8AAGCujIwMRURE2P8dv5gSEVjyPgYKDAwksAAAcI0pynQOJt0CAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGK+Uqwu4lkSOWO7qEq6I1AldXV0CAABO4QwLAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOPxa824JvHL2QDgXjjDAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHiXFVhmzpypyMhI+fr6qnnz5lq3bl2hfefOnas2bdqofPnyKl++vGJiYvL1HzBggDw8PByWTp06XU5pAACgBHI6sCxdulTx8fFKSEjQxo0bdeONN8pms+nQoUMF9k9OTlafPn20atUqpaSkKCIiQh07dtT+/fsd+nXq1EkHDx60L2+//fblHREAAChxnA4s06ZN08CBAxUXF6d69epp9uzZ8vf31/z58wvsv3jxYg0ZMkRRUVGqW7eu5s2bp9zcXCUlJTn08/HxUWhoqH0pX7785R0RAAAocZwKLNnZ2dqwYYNiYmL+2oCnp2JiYpSSklKkbZw+fVpnz55VhQoVHNqTk5NVuXJlXXfddRo8eLCOHj1a6DaysrKUkZHhsAAAgJLLqcBy5MgR5eTkKCQkxKE9JCREaWlpRdrGU089pfDwcIfQ06lTJy1atEhJSUmaOHGivv76a3Xu3Fk5OTkFbmP8+PEKCgqyLxEREc4cBgAAuMaUKs6dTZgwQe+8846Sk5Pl6+trb+/du7f9/xs0aKCGDRuqZs2aSk5O1i233JJvOyNHjlR8fLz9dkZGBqEFAIASzKkzLMHBwfLy8lJ6erpDe3p6ukJDQy963ylTpmjChAn64osv1LBhw4v2rVGjhoKDg/Xrr78WuN7Hx0eBgYEOCwAAKLmcCize3t6Kjo52mDCbN4G2RYsWhd5v0qRJGjdunBITE9WkSZNL7mffvn06evSowsLCnCkPAACUUE5fJRQfH6+5c+dq4cKF+u9//6vBgwcrMzNTcXFxkqT+/ftr5MiR9v4TJ07Us88+q/nz5ysyMlJpaWlKS0vTH3/8IUn6448/9OSTT2rNmjVKTU1VUlKSbr/9dtWqVUs2m+0KHSYAALiWOT2HpVevXjp8+LBGjx6ttLQ0RUVFKTEx0T4Rd8+ePfL0/CsHzZo1S9nZ2br77rsdtpOQkKAxY8bIy8tLP/74oxYuXKgTJ04oPDxcHTt21Lhx4+Tj4/MPDw8AAJQElzXpdujQoRo6dGiB65KTkx1up6amXnRbfn5+WrFixeWUAQAA3AS/JQQAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAONdVmCZOXOmIiMj5evrq+bNm2vdunWF9p07d67atGmj8uXLq3z58oqJicnX37IsjR49WmFhYfLz81NMTIx27tx5OaUBAIASyOnAsnTpUsXHxyshIUEbN27UjTfeKJvNpkOHDhXYPzk5WX369NGqVauUkpKiiIgIdezYUfv377f3mTRpkl5++WXNnj1ba9euVZkyZWSz2fTnn39e/pEBAIASw+nAMm3aNA0cOFBxcXGqV6+eZs+eLX9/f82fP7/A/osXL9aQIUMUFRWlunXrat68ecrNzVVSUpKk82dXpk+frlGjRun2229Xw4YNtWjRIh04cEAfffTRPzo4AABQMjgVWLKzs7VhwwbFxMT8tQFPT8XExCglJaVI2zh9+rTOnj2rChUqSJJ27dqltLQ0h20GBQWpefPmhW4zKytLGRkZDgsAACi5nAosR44cUU5OjkJCQhzaQ0JClJaWVqRtPPXUUwoPD7cHlLz7ObPN8ePHKygoyL5EREQ4cxgAAOAaU6xXCU2YMEHvvPOOPvzwQ/n6+l72dkaOHKmTJ0/al717917BKgEAgGlKOdM5ODhYXl5eSk9Pd2hPT09XaGjoRe87ZcoUTZgwQV9++aUaNmxob8+7X3p6usLCwhy2GRUVVeC2fHx85OPj40zpAADgGubUGRZvb29FR0fbJ8xKsk+gbdGiRaH3mzRpksaNG6fExEQ1adLEYV316tUVGhrqsM2MjAytXbv2otsEAADuw6kzLJIUHx+v2NhYNWnSRM2aNdP06dOVmZmpuLg4SVL//v1VpUoVjR8/XpI0ceJEjR49WkuWLFFkZKR9XkpAQIACAgLk4eGhxx9/XM8//7xq166t6tWr69lnn1V4eLi6d+9+5Y4UAABcs5wOLL169dLhw4c1evRopaWlKSoqSomJifZJs3v27JGn518nbmbNmqXs7GzdfffdDttJSEjQmDFjJEnDhw9XZmamHnzwQZ04cUKtW7dWYmLiP5rnAgAASg4Py7IsVxfxT2VkZCgoKEgnT55UYGDgVdtP5IjlV23bxSl1QldXl/CPMRYAcO1z5t9vfksIAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8Uq5ugAA177IEctdXcI/ljqhq6tLAHARnGEBAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADDeZQWWmTNnKjIyUr6+vmrevLnWrVtXaN+tW7fqrrvuUmRkpDw8PDR9+vR8fcaMGSMPDw+HpW7dupdTGgAAKIGcDixLly5VfHy8EhIStHHjRt14442y2Ww6dOhQgf1Pnz6tGjVqaMKECQoNDS10uzfccIMOHjxoX7777jtnSwMAACVUKWfvMG3aNA0cOFBxcXGSpNmzZ2v58uWaP3++RowYka9/06ZN1bRpU0kqcL29kFKlLhpoAAC4lkSOWO7qEq6I1AldXV2CJCfPsGRnZ2vDhg2KiYn5awOenoqJiVFKSso/KmTnzp0KDw9XjRo1dM8992jPnj2F9s3KylJGRobDAgAASi6nAsuRI0eUk5OjkJAQh/aQkBClpaVddhHNmzfXG2+8ocTERM2aNUu7du1SmzZtdOrUqQL7jx8/XkFBQfYlIiLisvcNAADMZ8RVQp07d1aPHj3UsGFD2Ww2ffbZZzpx4oTefffdAvuPHDlSJ0+etC979+4t5ooBAEBxcmoOS3BwsLy8vJSenu7Qnp6efkXnn5QrV0516tTRr7/+WuB6Hx8f+fj4XLH9AQAAszl1hsXb21vR0dFKSkqyt+Xm5iopKUktWrS4YkX98ccf+u233xQWFnbFtgkAAK5dTl8lFB8fr9jYWDVp0kTNmjXT9OnTlZmZab9qqH///qpSpYrGjx8v6fxE3W3bttn/f//+/dq8ebMCAgJUq1YtSdKwYcN02223qVq1ajpw4IASEhLk5eWlPn36XKnjBAAA1zCnA0uvXr10+PBhjR49WmlpaYqKilJiYqJ9Iu6ePXvk6fnXiZsDBw6oUaNG9ttTpkzRlClT1LZtWyUnJ0uS9u3bpz59+ujo0aOqVKmSWrdurTVr1qhSpUr/8PAAAEBJ4HRgkaShQ4dq6NChBa7LCyF5IiMjZVnWRbf3zjvvXE4ZAADATRhxlRAAAMDFEFgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxXytUFAACunMgRy11dwj+WOqGrq0uAgTjDAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAONdVmCZOXOmIiMj5evrq+bNm2vdunWF9t26davuuusuRUZGysPDQ9OnT//H2wQAAO7F6cCydOlSxcfHKyEhQRs3btSNN94om82mQ4cOFdj/9OnTqlGjhiZMmKDQ0NArsk0AAOBenA4s06ZN08CBAxUXF6d69epp9uzZ8vf31/z58wvs37RpU02ePFm9e/eWj4/PFdkmAABwL04FluzsbG3YsEExMTF/bcDTUzExMUpJSbmsAi5nm1lZWcrIyHBYAABAyeVUYDly5IhycnIUEhLi0B4SEqK0tLTLKuBytjl+/HgFBQXZl4iIiMvaNwAAuDZck1cJjRw5UidPnrQve/fudXVJAADgKirlTOfg4GB5eXkpPT3doT09Pb3QCbVXY5s+Pj6FzocBAAAlj1NnWLy9vRUdHa2kpCR7W25urpKSktSiRYvLKuBqbBMAAJQsTp1hkaT4+HjFxsaqSZMmatasmaZPn67MzEzFxcVJkvr3768qVapo/Pjxks5Pqt22bZv9//fv36/NmzcrICBAtWrVKtI2AQCAe3M6sPTq1UuHDx/W6NGjlZaWpqioKCUmJtonze7Zs0eenn+duDlw4IAaNWpkvz1lyhRNmTJFbdu2VXJycpG2CQAA3JvTgUWShg4dqqFDhxa4Li+E5ImMjJRlWf9omwAAwL1dk1cJAQAA90JgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8S4rsMycOVORkZHy9fVV8+bNtW7duov2X7ZsmerWrStfX181aNBAn332mcP6AQMGyMPDw2Hp1KnT5ZQGAABKIKcDy9KlSxUfH6+EhARt3LhRN954o2w2mw4dOlRg/9WrV6tPnz66//77tWnTJnXv3l3du3fXzz//7NCvU6dOOnjwoH15++23L++IAABAieN0YJk2bZoGDhyouLg41atXT7Nnz5a/v7/mz59fYP+XXnpJnTp10pNPPqnrr79e48aNU+PGjTVjxgyHfj4+PgoNDbUv5cuXv7wjAgAAJY5TgSU7O1sbNmxQTEzMXxvw9FRMTIxSUlIKvE9KSopDf0my2Wz5+icnJ6ty5cq67rrrNHjwYB09erTQOrKyspSRkeGwAACAksupwHLkyBHl5OQoJCTEoT0kJERpaWkF3ictLe2S/Tt16qRFixYpKSlJEydO1Ndff63OnTsrJyenwG2OHz9eQUFB9iUiIsKZwwAAANeYUq4uQJJ69+5t//8GDRqoYcOGqlmzppKTk3XLLbfk6z9y5EjFx8fbb2dkZBBaAAAowZw6wxIcHCwvLy+lp6c7tKenpys0NLTA+4SGhjrVX5Jq1Kih4OBg/frrrwWu9/HxUWBgoMMCAABKLqcCi7e3t6Kjo5WUlGRvy83NVVJSklq0aFHgfVq0aOHQX5JWrlxZaH9J2rdvn44ePaqwsDBnygMAACWU01cJxcfHa+7cuVq4cKH++9//avDgwcrMzFRcXJwkqX///ho5cqS9/2OPPabExERNnTpV27dv15gxY7R+/XoNHTpUkvTHH3/oySef1Jo1a5SamqqkpCTdfvvtqlWrlmw22xU6TAAAcC1zeg5Lr169dPjwYY0ePVppaWmKiopSYmKifWLtnj175On5Vw5q2bKllixZolGjRunpp59W7dq19dFHH6l+/fqSJC8vL/34449auHChTpw4ofDwcHXs2FHjxo2Tj4/PFTpMAABwLbusSbdDhw61nyH5u+Tk5HxtPXr0UI8ePQrs7+fnpxUrVlxOGQAAwE3wW0IAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADDeZQWWmTNnKjIyUr6+vmrevLnWrVt30f7Lli1T3bp15evrqwYNGuizzz5zWG9ZlkaPHq2wsDD5+fkpJiZGO3fuvJzSAABACeR0YFm6dKni4+OVkJCgjRs36sYbb5TNZtOhQ4cK7L969Wr16dNH999/vzZt2qTu3bure/fu+vnnn+19Jk2apJdfflmzZ8/W2rVrVaZMGdlsNv3555+Xf2QAAKDEcDqwTJs2TQMHDlRcXJzq1aun2bNny9/fX/Pnzy+w/0svvaROnTrpySef1PXXX69x48apcePGmjFjhqTzZ1emT5+uUaNG6fbbb1fDhg21aNEiHThwQB999NE/OjgAAFAylHKmc3Z2tjZs2KCRI0fa2zw9PRUTE6OUlJQC75OSkqL4+HiHNpvNZg8ju3btUlpammJiYuzrg4KC1Lx5c6WkpKh37975tpmVlaWsrCz77ZMnT0qSMjIynDkcp+Vmnb6q2y8uV/txKg6MhVlKwngwFuZgLMxyNccjb9uWZV2yr1OB5ciRI8rJyVFISIhDe0hIiLZv317gfdLS0grsn5aWZl+f11ZYn78bP368xo4dm689IiKiaAfi5oKmu7oC5GEszMFYmIOxMEtxjMepU6cUFBR00T5OBRZTjBw50uGsTW5uro4dO6aKFSvKw8PDhZX9MxkZGYqIiNDevXsVGBjo6nLcGmNhDsbCLIyHOUrCWFiWpVOnTik8PPySfZ0KLMHBwfLy8lJ6erpDe3p6ukJDQwu8T2ho6EX75/03PT1dYWFhDn2ioqIK3KaPj498fHwc2sqVK+fMoRgtMDDwmn3ylTSMhTkYC7MwHua41sfiUmdW8jg16dbb21vR0dFKSkqyt+Xm5iopKUktWrQo8D4tWrRw6C9JK1eutPevXr26QkNDHfpkZGRo7dq1hW4TAAC4F6c/EoqPj1dsbKyaNGmiZs2aafr06crMzFRcXJwkqX///qpSpYrGjx8vSXrsscfUtm1bTZ06VV27dtU777yj9evX67XXXpMkeXh46PHHH9fzzz+v2rVrq3r16nr22WcVHh6u7t27X7kjBQAA1yynA0uvXr10+PBhjR49WmlpaYqKilJiYqJ90uyePXvk6fnXiZuWLVtqyZIlGjVqlJ5++mnVrl1bH330kerXr2/vM3z4cGVmZurBBx/UiRMn1Lp1ayUmJsrX1/cKHOK1w8fHRwkJCfk+7kLxYyzMwViYhfEwh7uNhYdVlGuJAAAAXIjfEgIAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYLxr8qv5gSvh5Zdfdvo+cXFxKlu27FWoBv/5z3+cvs+tt94qPz+/q1CNe2MszMFY/IXLmotZhQoVnOrv4eGhjRs3qlq1alepIvfl6empqlWrysvLq0j99+7dq19++UU1atS4ypW5pwu/v6koPDw8tHPnTsbjKmAszMFY/IUzLMXsxIkTmj59epF+O8GyLA0ZMkQ5OTnFUJl7Wr9+vSpXrlykvpxZufrS0tIYD0MwFuZgLM4jsLhA7969i/zke+SRR65yNe4rISFBAQEBRe7/9NNPO32GDEUXGxvr1Gnse++995r+wTeTMRbmYCz+wkdCAADAeFwlBAAosuTkZJ05c8bVZcANEVgMdPz4cS1atMjVZbiNzz77TA888ICGDx+u7du3O6w7fvy4OnTo4KLK3NO8efMUGxurBQsWSJKWLl2q66+/XjVq1FBCQoKLq0PHjh2Vmprq6jLcyqFDhxxub968WbGxsWrVqpXuvvtuJScnu6awYsZHQgbasmWLGjduzGTbYrBkyRL1799fnTp10smTJ7V+/XrNmzdP99xzjyQpPT1d4eHhjEUxmT59ukaNGiWbzaaUlBQ9/PDDevHFF/XEE08oJydHU6dO1eTJk/Xggw+6utQSr3HjxgW2b968WXXr1pWvr68kaePGjcVZllvy8vLSwYMHVblyZa1evVrt2rVTy5Yt1axZM23evFmrVq1SUlKSbr75ZleXelUx6dYFMjIyLrr+1KlTxVQJJk+erGnTpunRRx+VJL377ru677779Oeff+r+++93cXXuZ86cOXrttdfUt29fbdq0Sc2aNdPs2bPtY1GlShXNmjWLwFIMfvrpJ8XExOimm26yt1mWpS1btqh9+/ZFvnAA/9yF5xXGjBmjfv366fXXX7e3Pf744xo7dqySkpJcUV7xsVDsPDw8LE9Pz0KXvPW4+sqUKWP9/vvvDm1fffWVFRAQYM2aNctKS0tjLIqRn5+ftXv3bvttHx8f6+eff7bf3rlzp1WuXDlXlOZ2vvvuO6tmzZrW6NGjrZycHHt7qVKlrK1bt7qwMvfj4eFhpaenW5ZlWWFhYVZKSorD+p9//tkKDg52RWnFijMsLlC2bFk988wzat68eYHrd+7cqUGDBhVzVe4pMDBQ6enpql69ur2tffv2+vTTT9WtWzft27fPhdW5H39/f2VmZtpvV6pUKd+l5+fOnSvustxSq1attGHDBj300ENq2bKlFi9erJo1a7q6LLd16tQp+fr6ytfXVz4+Pg7rfH19dfr0aRdVVnwILC6Q99lw27ZtC1xfrlw5h1OAuHqaNWumzz//3OG0t3R+bD755BN169bNRZW5p7p16+rHH3/U9ddfL+n8twtfaPv27YqMjHRBZe4pKChIb7/9thYsWKDWrVtr7Nix8vDwcHVZbqlOnTqSzn88tH79ejVq1Mi+buvWrQoPD3dVacWGwOICffv2vehlgaGhoVwNUUyeeOIJrV69usB17dq10yeffMIVW8Vo4sSJKlOmTKHr9+zZw9lHF4iLi1Pr1q11zz33cIbLBVatWuVwOywszOH2rl273GJeF1cJAQCKJDc3V6dOnVJgYCBnWlDsCCwAAMB4fHGcgdavX69vvvnG1WVAUkxMTIn81dNrVWxsLF/kZwjGwhzuMhbMYTFQv3799Msvv/BlZQa44447dOTIEVeXgf+pUqWKPD15n2UCxsIc7jIWfCRkoAMHDujs2bOqVq2aq0sBAMAIBBbgAllZWZKU73sOAACuVfLPIRksLS1NH3/8sebMmaM5c+bo448/VlpamqvLcjsrV65Uly5dVL58efn7+8vf31/ly5dXly5d9OWXX7q6PLezbds2DRkyRI0aNVJYWJjCwsLUqFEjDRkyRNu2bXN1eW6FsTAHY8EZFpfIzMzUoEGD9M4778jDw0MVKlSQJB07dkyWZalPnz6aM2eO/P39XVxpybdw4UI98MADuvvuu2Wz2RQSEiLp/I8efvHFF3rvvff0+uuvq1+/fi6u1D18/vnn6t69uxo3bpxvPFauXKkNGzbo448/ls1mc3GlJR9jYQ7G4n9c8oMAbu7++++3ateubSUmJlrnzp2zt587d85asWKFVadOHeuBBx5wYYXuo3bt2taMGTMKXT9z5kyrVq1axViRe2vYsKH17LPPFro+ISHBatCgQTFW5L4YC3MwFudxhsUFypcvr+XLl6tly5YFrv/+++/VrVs3HT9+vJgrcz++vr7asmWLrrvuugLX79ixQ1FRURf9ZmJcOX5+ftq8eTPjYQDGwhyMxXnMYXGB3NxceXt7F7re29tbubm5xViR+7rhhhscfqb97+bPn6969eoVY0XuLTIyUsuXLy90/fLly7l6rpgwFuZgLM7je1hcoFu3bnrwwQf1+uuvO/yAlSRt2rRJgwcP1m233eai6tzL1KlT1a1bNyUmJiomJsbhs+GkpCT9/vvvF32hwJX13HPPqW/fvkpOTi5wPBITE7VkyRIXV+keGAtzMBbn8ZGQCxw/flx9+/bVihUrVL58eVWuXFmSdOjQIZ04cUI2m01LlixRuXLlXFuom0hNTdWsWbO0Zs0a+1VaoaGhatGihR566CF+HbiYrV69Wi+//LJSUlLyjcdjjz2mFi1auLhC98FYmIOxILC41Pbt2wt88tWtW9fFlQEAYBYCCwAAMB6TbgEAgPEILAAAwHgEFgAAYDwCCwAAMB6BBbiE5557Tt9++62ry8D/LFq0SL/99pury4AYC5O4w1hwlZChqlevrg4dOmjcuHEKDw93dTlurXr16kpPT9ctt9yiTz75xNXluD1PT0+VLl1aDz74oF555RVXl+PWGAtzuMNYcIbFULGxscrJyVGrVq1cXYrb27Vrl44eParBgwe7uhTo/E9bbN++Xddff72rS3F7jIU53GEsOMMCAACMxxkW4CIyMzP1zTffuLoMwGVycnIcbq9du1bffPONzp4966KKkCcuLk4HDhxwdRnFhsBioL179+q+++5zdRmQ9Ouvv6p9+/auLsNtnD17VsOHD1etWrXUrFkzzZ8/32F9enq6vLy8XFSdezl48KBat24tHx8ftW3bVsePH1e3bt3UokULtWvXTvXr19fBgwddXaZb+PHHHwtcFi9erHXr1tlvl3R8JGSgLVu2qHHjxvne2aD4MRbFa8yYMZo9e7aGDRumEydOaMaMGerVq5fmzJkj6XxgCQsLU25urosrLfn69++v3377TSNGjNDixYu1d+9eeXl56e2331ZOTo769u2rqKgozZgxw9Wllnienp7y8PBQQf9c57V7eHiU+NepUq4uwB395z//uej633//vZgqQYUKFS66vqS/AJhm8eLFmjdvnrp16yZJGjBggDp37qy4uDj72RYPDw9Xlug2vvzyS33wwQe66aab1KpVKwUHB2vlypWqUqWKpPOX+w8cONDFVbqHhg0bqmrVqpoyZYr8/PwkSZZlqXbt2vr8889Vu3ZtF1dYPDjD4gIXS8t53CEtm6BMmTIaPHiwGjRoUOD63bt3a+zYsYxFMfH399e2bdsUGRlpb9u/f786dOigpk2batKkSYqIiGA8ioGfn59++eUXRURESJICAgK0efNm1apVS5K0Z88e1a1bV6dPn3ZlmW4hOztbw4cP18qVK/XWW2+pUaNGkqTSpUtry5YtqlevnosrLB6cYXGBsLAwvfrqq7r99tsLXL9582ZFR0cXc1XuKSoqShEREYqNjS1w/ZYtWzR27Nhirsp9hYaG6rfffnMILFWqVNGqVavUvn17DRgwwGW1uZvKlSvr4MGD9sAydOhQhzOSx48fV5kyZVxVnlvx9vbW9OnT9fnnn+v//u//NGTIED311FOuLqvYMenWBaKjo7Vhw4ZC11/q7AuunK5du+rEiROFrq9QoYL69+9ffAW5uQ4dOmjJkiX52sPDw/XVV19p165dLqjKPUVFRSklJcV+e8KECQ6B5bvvvlPDhg1dUZrb6ty5s9avX69vv/1W7dq1c3U5xY6PhFzg22+/VWZmpjp16lTg+szMTK1fv15t27Yt5soA19q9e7e2b98um81W4PoDBw5o5cqVhZ4RQ/FZt26d/P39Vb9+fVeX4pZefvllrVq1Sq+88oqqVq3q6nKKBYEFAAAYj4+EDJCVlaWsrCxXl4ECHDx4UHv27HF1GfgfxsMcjIU53GUsCCwusnLlSnXp0kXly5eXv7+//P39Vb58eXXp0kVffvmlq8vD/3To0EHVq1d3dRn4H8bDHIyFOdxlLLhKyAUWLlyoBx54QHfffbdefPFFhYSESDr/pVhffPGFunTpotdff139+vVzcaVYtGgRl20ahPEwB2NhDncZC+awuECdOnX02GOP6eGHHy5w/auvvqoXX3xRO3fuLObKAAAwE4HFBXx9fbVlyxZdd911Ba7fsWOHoqKidObMmWKuzH2dO3dOW7duVVpamqTz3wdSr149lS5d2sWVuSfGwxyMhTncfiwsFLvGjRtbTz75ZKHrhw8fbjVu3LgYK3JfOTk51jPPPGOVK1fO8vDwcFjKlStnjRo1ysrJyXF1mW6D8TAHY2EOxuI85rC4wNSpU9WtWzclJiYqJibGYQ5LUlKSfv/9dy1fvtzFVbqHESNG6I033tCECRNks9nyzSd69tlnlZ2drYkTJ7q4UvfAeJiDsTAHY3EeHwm5SGpqqmbNmqU1a9Y4nN5r0aKFHnroIYevJsfVExoaqoULFxb6RWUrVqxQ//79lZ6eXsyVuSfGwxyMhTkYi/M4w+IikZGRJT4NXwtOnTql8PDwQteHhYUpMzOzGCtyb4yHORgLczAW53GGxYX+PoEqLCxM119/vftMoDJA165dde7cOS1evFjBwcEO644cOaJ+/frJy8tLn376qYsqdC+MhzkYC3MwFucRWFwgNzdXo0eP1syZM3Xy5EmHdUFBQRo6dKjGjh0rT0++1+9q27t3r7p06aLt27erQYMGDp8N//TTT6pXr54+/fRT+y/W4upiPMzBWJiDsTiPwOICw4cP1xtvvKFx48YVOoFqwIABfGRUTHJzc7VixYoC5xN17NiR4FjMGA9zMBbmYCwILC7BBCoAAJxT8iOZgZhAZQZnfyxs//79V6kSSIyHSRgLczAWfyGwuEC7du00bNgwHTlyJN+6I0eO6KmnnlK7du2KvzA307RpUw0aNEg//PBDoX1OnjypuXPnqn79+nr//feLsTr3w3iYg7EwB2PxFy5rdoHZs2erS5cuCgsLu+gEKlxd27Zt0wsvvKBbb71Vvr6+io6OVnh4uHx9fXX8+HFt27ZNW7duVePGjTVp0iR16dLF1SWXaIyHORgLczAWf2EOi4swgcocZ86c0fLly/Xdd99p9+7dOnPmjIKDg9WoUSPZbDbVr1/f1SW6FcbDHIyFORgLAgsAALgG8DYeAAAYj8BioOuvv15eXl6uLgMAAGMw6dZA48ePz/cNuAAAuDPmsAAAAONxhsXFTp486XCVUFBQkIsrAgDAPMxhcZF58+apXr16qlChgurVq+fw/6+//rqrywMAwCicYXGByZMna8yYMXr00UcL/PHDxx57TMePH9ewYcNcXCkAAGZgDosLVKtWTZMnT1bPnj0LXL906VI9+eSTTv+GBAAAJRUfCbnAoUOH1KBBg0LXN2jQoMDfGQIAwF0RWFygadOmmjBhgs6dO5dvXU5OjiZOnKimTZu6oDIAAMzER0Iu8OOPP8pms+ns2bO6+eabHeawfPPNN/L29tYXX3zhFr8NAQBAURBYXOTUqVN66623Cvzxw759+yowMNDFFQIAYA4CCwAAMB5zWAzRtWtXHTx40NVlAABgJAKLIb755hudOXPG1WUAAGAkAgsAADAegcUQ1apVU+nSpV1dBgAARmLSLQAAMB5nWIqZs1+3v3///qtUCQAA1w4CSzFr2rSpBg0apB9++KHQPidPntTcuXNVv359vf/++8VYHQAAZuLXmovZtm3b9MILL+jWW2+Vr6+voqOjFR4eLl9fXx0/flzbtm3T1q1b1bhxY02aNEldunRxdckAALgcc1hc5MyZM1q+fLm+++477d69W2fOnFFwcLAaNWokm83G1/IDAHABAgsAADAec1gAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOP9P7esP+aY8AwSAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "false_positive = df[df[\"Result\"] == \"FP\"]\n",
    "false_negative = df[df[\"Result\"] == \"FN\"]\n",
    "\n",
    "de.false_events_plots(false_positive, \"False Positive\")\n",
    "de.false_events_plots(false_negative, \"False Negatives\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[34179     0 32736 13685 47864]\n",
      "Total Samples:................80600\n",
      "True Positives:...............34179\n",
      "False Positives:..............   0\n",
      "True Negatives:...............32736\n",
      "False Negatives:..............13685\n",
      "Accuracy:.....................  83.0%\n",
      "True Positive Rate:...........  71.4%\n",
      "False Positive Rate:..........   0.0%\n",
      "True Negative Rate:........... 100.0%\n",
      "Positive Predictive Value:.... 100.0%\n"
     ]
    },
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "coloraxis": "coloraxis",
         "hovertemplate": "Predicted Label: %{x}<br>Real Label: %{y}<br>Predictions: %{z}<extra></extra>",
         "name": "0",
         "texttemplate": "%{z}",
         "type": "heatmap",
         "x": [
          "Positive",
          "Negative"
         ],
         "xaxis": "x",
         "y": [
          "Positive",
          "Negative"
         ],
         "yaxis": "y",
         "z": [
          [
           34179,
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          ],
          [
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           32736
          ]
         ]
        }
       ],
       "layout": {
        "coloraxis": {
         "colorbar": {
          "title": {
           "text": "Predictions"
          }
         },
         "colorscale": [
          [
           0,
           "rgb(2,4,25)"
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           0.25,
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         ]
        },
        "height": 300,
        "margin": {
         "t": 60
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "rgb(36,36,36)"
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            "error_y": {
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          "choropleth": [
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             "ticks": "outside",
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          "contour": [
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             "ticks": "outside",
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   ],
   "source": [
    "print(conf_matrix_total)\n",
    "metrics = de.conf_matrix_metrics(conf_matrix_total)\n",
    "de.print_metrics(metrics)\n",
    "de.plot_confusion_matrix(metrics)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Administrador\\AppData\\Local\\Temp\\ipykernel_4304\\2348130472.py:16: UserWarning:\n",
      "\n",
      "FixedFormatter should only be used together with FixedLocator\n",
      "\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.ticker import FuncFormatter\n",
    "df2, *_ = load_df(2)\n",
    "df4, *_ = load_df(4)\n",
    "df5, *_ = load_df(5)\n",
    "df2 = de.trip_percentage(df2)\n",
    "df4 = de.trip_percentage(df4)\n",
    "df5 = de.trip_percentage(df5)\n",
    "plt.plot(df2, label='R2', color='black')\n",
    "plt.plot(df4, label='R4', linestyle=\"-.\", color='black')\n",
    "plt.plot(df5, label='R5', linestyle=\":\", color='black')\n",
    "plt.rcParams[\"font.family\"] = \"serif\"\n",
    "plt.rcParams[\"font.serif\"] = [\"Times New Roman\"]\n",
    "plt.title(\"Detection probability vs speed\")\n",
    "plt.xlabel(\"Time [ms]\")\n",
    "plt.ylabel(\"Probability of detection\")\n",
    "plt.gca().set_yticklabels([f'{x:.0%}' for x in plt.gca().get_yticks()])\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
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   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
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     "name": "stdout",
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     "text": [
      "Fault Events (True): 772 \n",
      "Non Fault Events (False): 528\n",
      "True Positives: 724 \n",
      "False Positives: 0 \n",
      "True Negatives: 528 \n",
      "False Negatives: 48\n",
      "Total Samples:................1300\n",
      "True Positives:............... 724\n",
      "False Positives:..............   0\n",
      "True Negatives:............... 528\n",
      "False Negatives:..............  48\n",
      "Accuracy:.....................  96.3%\n",
      "True Positive Rate:...........  93.8%\n",
      "False Positive Rate:..........   0.0%\n",
      "True Negative Rate:........... 100.0%\n",
      "Positive Predictive Value:.... 100.0%\n"
     ]
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             0.4392156862745098,
             "rgb(177,22,88)"
            ],
            [
             0.5019607843137255,
             "rgb(203,26,79)"
            ],
            [
             0.5647058823529412,
             "rgb(223,47,67)"
            ],
            [
             0.6274509803921569,
             "rgb(236,76,61)"
            ],
            [
             0.6901960784313725,
             "rgb(242,107,73)"
            ],
            [
             0.7529411764705882,
             "rgb(244,135,95)"
            ],
            [
             0.8156862745098039,
             "rgb(245,162,122)"
            ],
            [
             0.8784313725490196,
             "rgb(246,188,153)"
            ],
            [
             0.9411764705882353,
             "rgb(247,212,187)"
            ],
            [
             1,
             "rgb(250,234,220)"
            ]
           ]
          },
          "colorway": [
           "rgb(76,114,176)",
           "rgb(221,132,82)",
           "rgb(85,168,104)",
           "rgb(196,78,82)",
           "rgb(129,114,179)",
           "rgb(147,120,96)",
           "rgb(218,139,195)",
           "rgb(140,140,140)",
           "rgb(204,185,116)",
           "rgb(100,181,205)"
          ],
          "font": {
           "color": "rgb(36,36,36)"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "rgb(234,234,242)",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "paper_bgcolor": "white",
          "plot_bgcolor": "rgb(234,234,242)",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "showgrid": true,
            "ticks": ""
           },
           "bgcolor": "rgb(234,234,242)",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "showgrid": true,
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "rgb(234,234,242)",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "showgrid": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "rgb(234,234,242)",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "showgrid": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "rgb(234,234,242)",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "showgrid": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "fillcolor": "rgb(67,103,167)",
           "line": {
            "width": 0
           },
           "opacity": 0.5
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "showgrid": true,
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "showgrid": true,
            "ticks": ""
           },
           "bgcolor": "rgb(234,234,242)",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "showgrid": true,
            "ticks": ""
           }
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "showgrid": true,
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white"
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "showgrid": true,
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white"
          }
         }
        },
        "width": 400,
        "xaxis": {
         "anchor": "y",
         "constrain": "domain",
         "domain": [
          0,
          1
         ],
         "scaleanchor": "y",
         "title": {
          "text": "Predicted Label"
         }
        },
        "yaxis": {
         "anchor": "x",
         "autorange": "reversed",
         "constrain": "domain",
         "domain": [
          0,
          1
         ],
         "title": {
          "text": "Real Label"
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = df[df[\"True label\"] == 1].event_idx.value_counts().shape[0]\n",
    "n = df[df[\"True label\"] == 0].event_idx.value_counts().shape[0]\n",
    "print(f\"Fault Events (True): {p} \\nNon Fault Events (False): {n}\")\n",
    "\n",
    "tp, fp, tn, fn = de.test_result(df)\n",
    "metrics = de.conf_matrix_metrics(np.array([tp, fp, tn, fn, tp + fn]))\n",
    "de.print_metrics(metrics)\n",
    "de.plot_confusion_matrix(metrics)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n",
      "0.0104649225\n",
      "0.01\n",
      "0.49998796\n",
      "nan\n",
      "nan\n",
      "nan\n",
      "range(0, 6)\n"
     ]
    }
   ],
   "source": [
    "print(false_negative[\"Pred probability\"].apply(np.floor).min())\n",
    "print(false_negative[\"Pred probability\"].min())\n",
    "print(false_negative[\"Pred probability\"].round(3).min())\n",
    "print(false_negative[\"Pred probability\"].max())\n",
    "print(false_positive[\"Pred probability\"].apply(np.floor).min())\n",
    "print(false_positive[\"Pred probability\"].max())\n",
    "print(false_positive[\"Pred probability\"].round(3).max())\n",
    "\n",
    "min_range = range(6) if (false_negative[\"Pred probability\"].min() < 0.5) else range(5, 11)\n",
    "print(min_range)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FALSE NEGATIVES\n",
      "Total \n",
      "       window idx  event_idx  Pred probability  Pred label  True label Result\n",
      "124             0          2             6.72%           0           1     FN\n",
      "125             1          2             6.39%           0           1     FN\n",
      "126             2          2             4.59%           0           1     FN\n",
      "127             3          2             3.31%           0           1     FN\n",
      "128             4          2             6.31%           0           1     FN\n",
      "...           ...        ...               ...         ...         ...    ...\n",
      "80471          57       1297             8.78%           0           1     FN\n",
      "80472          58       1297             5.27%           0           1     FN\n",
      "80473          59       1297             3.57%           0           1     FN\n",
      "80474          60       1297             9.73%           0           1     FN\n",
      "80475          61       1297            13.52%           0           1     FN\n",
      "\n",
      "[17827 rows x 6 columns]\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LIMITS RANGE range(0, 6)\n"
     ]
    },
    {
     "data": {
      "image/png": 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vvY6AOSxu5bHHHtOCBQv05JNPqlWrVgoKCpKHh4f69Olz2Usbp02bpgEDBuijjz7SqlWr9Pjjj2vChAlat26dqlevrry8PHl4eOizzz4r9F1fQECAU7XWqlVL999/v954441CL1G92vcnXZjAO2DAAPXo0UNPP/20qlSpYp9UefG7Kmf17t1bo0aN0vLly/Xkk0/q3XffVVBQkDp37uxwPFWqVHF4F3+x/Im+Hh4eeu+997Ru3Tp9/PHHWrlypR544AFNmzZN69atu6LjLsrF7xSvlWv1mF9tsbGxmjJlij788EP17dtXS5cuVffu3R3OQvwV+X9/w4cPl81mK7TPn0P3tRyfos7cFNVuWZakP47jrbfecpizle9Kr6C73P1eSn5NU6ZMKfJy5z//3RT22IaHh6tdu3Z699139eyzz2rdunXat2+fJk2aZO+Tm5urO+64QydOnNAzzzyj+vXrq1y5cjp48KAGDBhg1CXk1yMCixt57733FBcXp2nTptnbfv/99yKv8PizRo0aqVGjRho9erTWrl2rNm3aaPbs2frHP/6h2rVry7Is1axZ0/4u+q8aPXq0/vWvfzm8IOQr7v3VqFFD0oV3sBdfrXP+/HmlpqY6TJZ97733VKtWLX3wwQcO7+by3+Hmc/bbKWvWrKkWLVpo2bJlGjp0qD744AP16NFDPj4+Dsfz+eefq02bNsX6h+iWW27RLbfcohdffFFLly7Vfffdp3feeUcPPfTQJbfLfyd/8TH89NNPknTZyZD5j+WuXbtUq1Yte3tOTo727NljP5OX79ChQwUuCf3zfRX3Mc+X/275Yj/99NNV+bbWS41rw4YN1aRJEy1ZskTVq1fXvn37nPquoMvVnf94li1btsDj+FeV5Lep1q5dW5JUpUqVq34cl1PUcebXFBgY+Jdr6t27t4YMGaJdu3Zp2bJl8vf319///nf7+h9++EE//fSTFi1apNjYWHt7/sfy+Gv4SMiNeHl5FXhH8tprryk3N/eS22VmZur8+fMObY0aNZKnp6f9o4i7775bXl5eGjduXIH7sCxLx48fd7re2rVr6/7779ecOXMKzK8o7v01a9ZMlSpV0ty5cx2OYcmSJQVOJ+e/i7t4f+vXr1dKSopDv/yrqYob9KQLL3Tr1q3T/PnzdezYMYePgySpV69eys3N1fjx4wtse/78eft9nTx5ssDx5r9rLM7HQocOHdK///1v++3MzEwtXrxYUVFRhb4jvlhMTIy8vb316quvOtTw5ptvKiMjQ926dStQ95w5c+y3c3JyNGfOHFWuXFnR0dGSiv+Y5/vwww8d5nJs2LBB69evV5cuXS536JdVrly5S56y79+/v1atWqXp06erUqVKTt3n5equUqWKOnTooDlz5hQ6b+vo0aNOHImj/MDozPP1StlsNgUGBuqf//xnoXOs/spxXE5RxxkdHa3atWtr6tSp+u233/5STffcc4+8vLz09ttva/ny5erevbtDIC/s+WxZll555RVnDgVF4AyLG+nevbveeustBQUFqUGDBkpJSdHnn3+uSpUqXXK7L774QkOHDlXPnj1Vr149nT9/Xm+99Za8vLx0zz33SLoQLv7xj39o1KhR9suGy5cvrz179ujf//63Hn74YQ0fPtzpmp977jm99dZb2rVrl2666SZ7e3Hvz9vbW2PHjtVjjz2mjh07qlevXkpNTdXChQtVu3Zth3dl3bt31wcffKC77rpL3bp10549ezR79mw1aNDA4YXOz89PDRo00LJly1SvXj1VrFhRDRs2vOS3Cffq1UvDhw/X8OHDVbFixQLv9Nq3b69BgwZpwoQJ2rp1qzp16qSyZctq9+7dWr58uV555RXde++9WrRokV5//XXdddddql27tk6fPq25c+cqMDBQXbt2vezjWa9ePT344IP67rvvFBoaqvnz5ys9PV0LFiy47LaVK1fWqFGjNG7cOHXu3Fn/93//p127dun1119X8+bNC0xADQ8P16RJk5Samqp69epp2bJl2rp1q9544w375c/Ffczz1alTR23bttXgwYOVnZ1tDw8jRoy4bP2XEx0drWXLlmnYsGFq3ry5AgICHN499+vXTyNGjNC///1vDR482KkvXStO3TNnzlTbtm3VqFEjDRw4ULVq1VJ6erpSUlJ04MABbdu27YqOq3bt2qpQoYJmz56t8uXLq1y5cmrZsuU1mQMTGBioWbNmqX///mratKn69OmjypUra9++fVqxYoXatGmjGTNmXPX7lS59nPPmzVOXLl100003KT4+XtWqVdPBgwe1Zs0aBQYG6uOPPy7WfVSpUkW33XabXnrpJZ0+fbrAG4/69eurdu3aGj58uA4ePKjAwEC9//77xZprg2Io0WuScE1dfGlwYU6ePGnFx8dbISEhVkBAgGWz2aydO3de9pLPX3/91XrggQes2rVrW76+vlbFihWt2267zfr8888L3Mf7779vtW3b1ipXrpxVrlw5q379+tajjz5q7dq164prj4uLsyQ5XNbs7P29+uqrVo0aNSwfHx+rRYsW1rfffmtFR0dbnTt3tvfJy8uz/vnPf9r7NWnSxPrkk08KXPppWZa1du1aKzo62vL29na4xPlSlyq2adPGkmQ99NBDRT4Ob7zxhhUdHW35+flZ5cuXtxo1amSNGDHCOnTokGVZlrV582arb9++1t/+9jfLx8fHqlKlitW9e3dr48aNRe4zX40aNaxu3bpZK1eutBo3bmz5+PhY9evXL3C5+uWeRzNmzLDq169vlS1b1goNDbUGDx5snTx50qFP/mXoGzdutFq1amX5+vpaNWrUsGbMmOHQr7iPef7ltlOmTLGmTZtmRUREWD4+Pla7du2sbdu2OezzSi9r/u2336x+/fpZFSpUsCQVeolz165dLUnW2rVrC31s/syZui3Lsn755RcrNjbWCgsLs8qWLWtVq1bN6t69u/Xee+/Z+1xufArz0UcfWQ0aNLDKlCnjcOnvpR7ni+U/XsV9rqxZs8ay2WxWUFCQ5evra9WuXdsaMGDAZZ+nRV3WXNjffmF/l0Udp2Vd+HqGu+++26pUqZLl4+Nj1ahRw+rVq5eVlJRk75P/3Dl69GiRNc6dO9eSZJUvX946e/ZsgfU7duywYmJirICAACskJMQaOHCgtW3btgL1cFmz8zwsqxizloBSJi8vT5UrV9bdd9+tuXPnurqcEhEZGamGDRvqk08+cXUp16277rpLP/zwg37++edi9U9NTVXNmjU1ZcqUKzrDCOAPzGFBqff7778XmPexePFinThxosCPFwJFOXz4sFasWKH+/fu7uhTALTGHBaXeunXr9NRTT6lnz56qVKmSNm/erDfffFMNGzYs9vdowH3t2bNH3377rebNm6eyZcs6fBkegJJDYEGpFxkZqYiICL366qs6ceKEKlasqNjYWE2cOPGKfsYe7uXLL79UfHy8/va3v2nRokWXvZoKwLXBHBYAAGA85rAAAADjEVgAAIDxSsUclry8PB06dEjly5cv0a+hBgAAV86yLJ0+fVrh4eEOvwJfmFIRWA4dOlTgV0QBAMD1Yf/+/apevfol+5SKwFK+fHlJFw744p/5BgAA5srMzFRERIT93/FLKRWBJf9joMDAQAILAADXmeJM52DSLQAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxyri6AOBKRI5c4eoSrorUid1cXQIAXBc4wwIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMN4VBZaZM2cqMjJSvr6+atmypTZs2FBk37lz56pdu3YKDg5WcHCwYmJiCvQfMGCAPDw8HJbOnTtfSWkAAKAUcjqwLFu2TMOGDVNCQoI2b96sm2++WTabTUeOHCm0f3Jysvr27as1a9YoJSVFERER6tSpkw4ePOjQr3Pnzjp8+LB9efvtt6/siAAAQKnjdGB56aWXNHDgQMXHx6tBgwaaPXu2/P39NX/+/EL7L1myREOGDFFUVJTq16+vefPmKS8vT0lJSQ79fHx8FBYWZl+Cg4OLrCE7O1uZmZkOCwAAKL2cCiw5OTnatGmTYmJi/tiBp6diYmKUkpJSrH2cOXNG586dU8WKFR3ak5OTVaVKFd1www0aPHiwjh8/XuQ+JkyYoKCgIPsSERHhzGEAAIDrjFOB5dixY8rNzVVoaKhDe2hoqNLS0oq1j2eeeUbh4eEOoadz585avHixkpKSNGnSJH355Zfq0qWLcnNzC93HqFGjlJGRYV/279/vzGEAAIDrTIn++OHEiRP1zjvvKDk5Wb6+vvb2Pn362P+/UaNGaty4sWrXrq3k5GTdfvvtBfbj4+MjHx+fEqkZAAC4nlNnWEJCQuTl5aX09HSH9vT0dIWFhV1y26lTp2rixIlatWqVGjdufMm+tWrVUkhIiH7++WdnygMAAKWUU4HF29tb0dHRDhNm8yfQtmrVqsjtJk+erPHjxysxMVHNmjW77P0cOHBAx48fV9WqVZ0pDwAAlFJOXyU0bNgwzZ07V4sWLdJ///tfDR48WFlZWYqPj5ckxcbGatSoUfb+kyZN0vPPP6/58+crMjJSaWlpSktL02+//SZJ+u233/T0009r3bp1Sk1NVVJSku68807VqVNHNpvtKh0mAAC4njk9h6V37946evSoxowZo7S0NEVFRSkxMdE+EXffvn3y9PwjB82aNUs5OTm69957HfaTkJCgsWPHysvLS99//70WLVqkU6dOKTw8XJ06ddL48eOZpwIAACRJHpZlWa4u4q/KzMxUUFCQMjIyFBgY6OpyUAIiR65wdQlXRerEbq4uAQBcxpl/v/ktIQAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYz+kfP3Rn/H4NAACuwRkWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxruiwDJz5kxFRkbK19dXLVu21IYNG4rsO3fuXLVr107BwcEKDg5WTExMgf6WZWnMmDGqWrWq/Pz8FBMTo927d19JaQAAoBRyOrAsW7ZMw4YNU0JCgjZv3qybb75ZNptNR44cKbR/cnKy+vbtqzVr1iglJUURERHq1KmTDh48aO8zefJkvfrqq5o9e7bWr1+vcuXKyWaz6ffff7/yIwMAAKWGh2VZljMbtGzZUs2bN9eMGTMkSXl5eYqIiNBjjz2mkSNHXnb73NxcBQcHa8aMGYqNjZVlWQoPD9f/+3//T8OHD5ckZWRkKDQ0VAsXLlSfPn0K7CM7O1vZ2dn225mZmYqIiFBGRoYCAwOdORynRI5ccc32XZJSJ3ZzdQl/GWMBANe/zMxMBQUFFevfb6fOsOTk5GjTpk2KiYn5YweenoqJiVFKSkqx9nHmzBmdO3dOFStWlCTt2bNHaWlpDvsMCgpSy5Yti9znhAkTFBQUZF8iIiKcOQwAAHCdcSqwHDt2TLm5uQoNDXVoDw0NVVpaWrH28cwzzyg8PNweUPK3c2afo0aNUkZGhn3Zv3+/M4cBAACuM2VK8s4mTpyod955R8nJyfL19b3i/fj4+MjHx+cqVgYAAEzm1BmWkJAQeXl5KT093aE9PT1dYWFhl9x26tSpmjhxolatWqXGjRvb2/O3u5J9AgAA9+BUYPH29lZ0dLSSkpLsbXl5eUpKSlKrVq2K3G7y5MkaP368EhMT1axZM4d1NWvWVFhYmMM+MzMztX79+kvuEwAAuA+nPxIaNmyY4uLi1KxZM7Vo0ULTp09XVlaW4uPjJUmxsbGqVq2aJkyYIEmaNGmSxowZo6VLlyoyMtI+LyUgIEABAQHy8PDQk08+qX/84x+qW7euatasqeeff17h4eHq0aPH1TtSAABw3XI6sPTu3VtHjx7VmDFjlJaWpqioKCUmJtonze7bt0+enn+cuJk1a5ZycnJ07733OuwnISFBY8eOlSSNGDFCWVlZevjhh3Xq1Cm1bdtWiYmJf2meCwAAKD2c/h4WEzlzHfdfwXd/mIOxAIDr3zX7HhYAAABXILAAAADjEVgAAIDxCCwAAMB4BBYAAGC8Ev1qfgClU2m4aosrtgCzcYYFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjlXF1AQAAlEaRI1e4uoSrInViN1eXIIkzLAAA4DpAYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGC8KwosM2fOVGRkpHx9fdWyZUtt2LChyL7bt2/XPffco8jISHl4eGj69OkF+owdO1YeHh4OS/369a+kNAAAUAo5HViWLVumYcOGKSEhQZs3b9bNN98sm82mI0eOFNr/zJkzqlWrliZOnKiwsLAi93vTTTfp8OHD9uWbb75xtjQAAFBKOR1YXnrpJQ0cOFDx8fFq0KCBZs+eLX9/f82fP7/Q/s2bN9eUKVPUp08f+fj4FLnfMmXKKCwszL6EhIQ4WxoAACilnAosOTk52rRpk2JiYv7YgaenYmJilJKS8pcK2b17t8LDw1WrVi3dd9992rdvX5F9s7OzlZmZ6bAAAIDSy6nAcuzYMeXm5io0NNShPTQ0VGlpaVdcRMuWLbVw4UIlJiZq1qxZ2rNnj9q1a6fTp08X2n/ChAkKCgqyLxEREVd83wAAwHxGXCXUpUsX9ezZU40bN5bNZtOnn36qU6dO6d133y20/6hRo5SRkWFf9u/fX8IVAwCAklTGmc4hISHy8vJSenq6Q3t6evolJ9Q6q0KFCqpXr55+/vnnQtf7+Phccj4MAAAoXZw6w+Lt7a3o6GglJSXZ2/Ly8pSUlKRWrVpdtaJ+++03/fLLL6patepV2ycAALh+OXWGRZKGDRumuLg4NWvWTC1atND06dOVlZWl+Ph4SVJsbKyqVaumCRMmSLowUXfHjh32/z948KC2bt2qgIAA1alTR5I0fPhw/f3vf1eNGjV06NAhJSQkyMvLS3379r1axwkAAK5jTgeW3r176+jRoxozZozS0tIUFRWlxMRE+0Tcffv2ydPzjxM3hw4dUpMmTey3p06dqqlTp6p9+/ZKTk6WJB04cEB9+/bV8ePHVblyZbVt21br1q1T5cqV/+LhAQCA0sDpwCJJQ4cO1dChQwtdlx9C8kVGRsqyrEvu75133rmSMgAAgJu4osACADBT5MgVri7hL0ud2M3VJcBARlzWDAAAcCkEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8a4osMycOVORkZHy9fVVy5YttWHDhiL7bt++Xffcc48iIyPl4eGh6dOn/+V9AgAA9+J0YFm2bJmGDRumhIQEbd68WTfffLNsNpuOHDlSaP8zZ86oVq1amjhxosLCwq7KPgEAgHtxOrC89NJLGjhwoOLj49WgQQPNnj1b/v7+mj9/fqH9mzdvrilTpqhPnz7y8fG5KvsEAADuxanAkpOTo02bNikmJuaPHXh6KiYmRikpKVdUwJXsMzs7W5mZmQ4LAAAovZwKLMeOHVNubq5CQ0Md2kNDQ5WWlnZFBVzJPidMmKCgoCD7EhERcUX3DQAArg/X5VVCo0aNUkZGhn3Zv3+/q0sCAADXUBlnOoeEhMjLy0vp6ekO7enp6UVOqL0W+/Tx8SlyPgwAACh9nDrD4u3trejoaCUlJdnb8vLylJSUpFatWl1RAddinwAAoHRx6gyLJA0bNkxxcXFq1qyZWrRooenTpysrK0vx8fGSpNjYWFWrVk0TJkyQdGFS7Y4dO+z/f/DgQW3dulUBAQGqU6dOsfYJAADcm9OBpXfv3jp69KjGjBmjtLQ0RUVFKTEx0T5pdt++ffL0/OPEzaFDh9SkSRP77alTp2rq1Klq3769kpOTi7VPAADg3pwOLJI0dOhQDR06tNB1+SEkX2RkpCzL+kv7BAAA7u26vEoIAAC4FwILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGC8KwosM2fOVGRkpHx9fdWyZUtt2LDhkv2XL1+u+vXry9fXV40aNdKnn37qsH7AgAHy8PBwWDp37nwlpQEAgFLI6cCybNkyDRs2TAkJCdq8ebNuvvlm2Ww2HTlypND+a9euVd++ffXggw9qy5Yt6tGjh3r06KEff/zRoV/nzp11+PBh+/L2229f2REBAIBSx+nA8tJLL2ngwIGKj49XgwYNNHv2bPn7+2v+/PmF9n/llVfUuXNnPf3007rxxhs1fvx4NW3aVDNmzHDo5+Pjo7CwMPsSHBx8ZUcEAABKHacCS05OjjZt2qSYmJg/duDpqZiYGKWkpBS6TUpKikN/SbLZbAX6Jycnq0qVKrrhhhs0ePBgHT9+vMg6srOzlZmZ6bAAAIDSy6nAcuzYMeXm5io0NNShPTQ0VGlpaYVuk5aWdtn+nTt31uLFi5WUlKRJkybpyy+/VJcuXZSbm1voPidMmKCgoCD7EhER4cxhAACA60wZVxcgSX369LH/f6NGjdS4cWPVrl1bycnJuv322wv0HzVqlIYNG2a/nZmZSWgBAKAUc+oMS0hIiLy8vJSenu7Qnp6errCwsEK3CQsLc6q/JNWqVUshISH6+eefC13v4+OjwMBAhwUAAJReTgUWb29vRUdHKykpyd6Wl5enpKQktWrVqtBtWrVq5dBfklavXl1kf0k6cOCAjh8/rqpVqzpTHgAAKKWcvkpo2LBhmjt3rhYtWqT//ve/Gjx4sLKyshQfHy9Jio2N1ahRo+z9n3jiCSUmJmratGnauXOnxo4dq40bN2ro0KGSpN9++01PP/201q1bp9TUVCUlJenOO+9UnTp1ZLPZrtJhAgCA65nTc1h69+6to0ePasyYMUpLS1NUVJQSExPtE2v37dsnT88/clDr1q21dOlSjR49Ws8++6zq1q2rDz/8UA0bNpQkeXl56fvvv9eiRYt06tQphYeHq1OnTho/frx8fHyu0mECAIDr2RVNuh06dKj9DMmfJScnF2jr2bOnevbsWWh/Pz8/rVy58krKAAAAboLfEgIAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgPAILAAAwHoEFAAAYj8ACAACMR2ABAADGI7AAAADjEVgAAIDxCCwAAMB4BBYAAGA8AgsAADAegQUAABiPwAIAAIxHYAEAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYDwCCwAAMB6BBQAAGI/AAgAAjEdgAQAAxruiwDJz5kxFRkbK19dXLVu21IYNGy7Zf/ny5apfv758fX3VqFEjffrppw7rLcvSmDFjVLVqVfn5+SkmJka7d+++ktIAAEAp5HRgWbZsmYYNG6aEhARt3rxZN998s2w2m44cOVJo/7Vr16pv37568MEHtWXLFvXo0UM9evTQjz/+aO8zefJkvfrqq5o9e7bWr1+vcuXKyWaz6ffff7/yIwMAAKWG04HlpZde0sCBAxUfH68GDRpo9uzZ8vf31/z58wvt/8orr6hz5856+umndeONN2r8+PFq2rSpZsyYIenC2ZXp06dr9OjRuvPOO9W4cWMtXrxYhw4d0ocffviXDg4AAJQOZZzpnJOTo02bNmnUqFH2Nk9PT8XExCglJaXQbVJSUjRs2DCHNpvNZg8je/bsUVpammJiYuzrg4KC1LJlS6WkpKhPnz4F9pmdna3s7Gz77YyMDElSZmamM4fjtLzsM9d0/yXlWj9OJYGxMEtpGA/GwhyMhVmu5Xjk79uyrMv2dSqwHDt2TLm5uQoNDXVoDw0N1c6dOwvdJi0trdD+aWlp9vX5bUX1+bMJEyZo3LhxBdojIiKKdyBuLmi6qytAPsbCHIyFORgLs5TEeJw+fVpBQUGX7ONUYDHFqFGjHM7a5OXl6cSJE6pUqZI8PDxcWNlfk5mZqYiICO3fv1+BgYGuLsetMRbmYCzMwniYozSMhWVZOn36tMLDwy/b16nAEhISIi8vL6Wnpzu0p6enKywsrNBtwsLCLtk//7/p6emqWrWqQ5+oqKhC9+nj4yMfHx+HtgoVKjhzKEYLDAy8bp98pQ1jYQ7GwiyMhzmu97G43JmVfE5NuvX29lZ0dLSSkpLsbXl5eUpKSlKrVq0K3aZVq1YO/SVp9erV9v41a9ZUWFiYQ5/MzEytX7++yH0CAAD34vRHQsOGDVNcXJyaNWumFi1aaPr06crKylJ8fLwkKTY2VtWqVdOECRMkSU888YTat2+vadOmqVu3bnrnnXe0ceNGvfHGG5IkDw8PPfnkk/rHP/6hunXrqmbNmnr++ecVHh6uHj16XL0jBQAA1y2nA0vv3r119OhRjRkzRmlpaYqKilJiYqJ90uy+ffvk6fnHiZvWrVtr6dKlGj16tJ599lnVrVtXH374oRo2bGjvM2LECGVlZenhhx/WqVOn1LZtWyUmJsrX1/cqHOL1w8fHRwkJCQU+7kLJYyzMwViYhfEwh7uNhYdVnGuJAAAAXIjfEgIAAMYjsAAAAOMRWAAAgPEILAAAwHgEFgAAYLzr8qv5gavh1VdfdXqb+Ph4lS9f/hpUg//85z9Ob3PHHXfIz8/vGlTj3hgLczAWf+Cy5hJWsWJFp/p7eHho8+bNqlGjxjWqyH15enqqevXq8vLyKlb//fv366efflKtWrWucWXu6eLvbyoODw8P7d69m/G4BhgLczAWf+AMSwk7deqUpk+fXqzfTrAsS0OGDFFubm4JVOaeNm7cqCpVqhSrL2dWrr20tDTGwxCMhTkYiwsILC7Qp0+fYj/5HnvssWtcjftKSEhQQEBAsfs/++yzTp8hQ/HFxcU5dRr7/vvvv65/8M1kjIU5GIs/8JEQAAAwHlcJAQCKLTk5WWfPnnV1GXBDBBYDnTx5UosXL3Z1GW7j008/1UMPPaQRI0Zo586dDutOnjypjh07uqgy9zRv3jzFxcVpwYIFkqRly5bpxhtvVK1atZSQkODi6tCpUyelpqa6ugy3cuTIEYfbW7duVVxcnNq0aaN7771XycnJrimshPGRkIG2bdumpk2bMtm2BCxdulSxsbHq3LmzMjIytHHjRs2bN0/33XefJCk9PV3h4eGMRQmZPn26Ro8eLZvNppSUFD366KN6+eWX9dRTTyk3N1fTpk3TlClT9PDDD7u61FKvadOmhbZv3bpV9evXl6+vryRp8+bNJVmWW/Ly8tLhw4dVpUoVrV27Vh06dFDr1q3VokULbd26VWvWrFFSUpJuvfVWV5d6TTHp1gUyMzMvuf706dMlVAmmTJmil156SY8//rgk6d1339UDDzyg33//XQ8++KCLq3M/c+bM0RtvvKF+/fppy5YtatGihWbPnm0fi2rVqmnWrFkElhLwww8/KCYmRrfccou9zbIsbdu2TbfddluxLxzAX3fxeYWxY8eqf//+evPNN+1tTz75pMaNG6ekpCRXlFdyLJQ4Dw8Py9PTs8glfz2uvXLlylm//vqrQ9sXX3xhBQQEWLNmzbLS0tIYixLk5+dn7d27137bx8fH+vHHH+23d+/ebVWoUMEVpbmdb775xqpdu7Y1ZswYKzc3195epkwZa/v27S6szP14eHhY6enplmVZVtWqVa2UlBSH9T/++KMVEhLiitJKFGdYXKB8+fJ67rnn1LJly0LX7969W4MGDSrhqtxTYGCg0tPTVbNmTXvbbbfdpk8++UTdu3fXgQMHXFid+/H391dWVpb9duXKlQtcen7+/PmSLssttWnTRps2bdIjjzyi1q1ba8mSJapdu7ary3Jbp0+flq+vr3x9feXj4+OwztfXV2fOnHFRZSWHwOIC+Z8Nt2/fvtD1FSpUcDgFiGunRYsW+uyzzxxOe0sXxubjjz9W9+7dXVSZe6pfv76+//573XjjjZIufLvwxXbu3KnIyEgXVOaegoKC9Pbbb2vBggVq27atxo0bJw8PD1eX5Zbq1asn6cLHQxs3blSTJk3s67Zv367w8HBXlVZiCCwu0K9fv0teFhgWFsbVECXkqaee0tq1awtd16FDB3388cdcsVWCJk2apHLlyhW5ft++fZx9dIH4+Hi1bdtW9913H2e4XGDNmjUOt6tWrepwe8+ePW4xr4urhAAAxZKXl6fTp08rMDCQMy0ocQQWAABgPL44zkAbN27UV1995eoyICkmJqZU/urp9SouLo4v8jMEY2EOdxkL5rAYqH///vrpp5/4sjID3HXXXTp27Jiry8D/VKtWTZ6evM8yAWNhDncZCz4SMtChQ4d07tw51ahRw9WlAABgBAILcJHs7GxJKvA9BwAA1yr955AMlpaWpo8++khz5szRnDlz9NFHHyktLc3VZbmd1atXq2vXrgoODpa/v7/8/f0VHBysrl276vPPP3d1eW5nx44dGjJkiJo0aaKqVauqatWqatKkiYYMGaIdO3a4ujy3wliYg7HgDItLZGVladCgQXrnnXfk4eGhihUrSpJOnDghy7LUt29fzZkzR/7+/i6utPRbtGiRHnroId17772y2WwKDQ2VdOFHD1etWqX33ntPb775pvr37+/iSt3DZ599ph49eqhp06YFxmP16tXatGmTPvroI9lsNhdXWvoxFuZgLP7HJT8I4OYefPBBq27dulZiYqJ1/vx5e/v58+etlStXWvXq1bMeeughF1boPurWrWvNmDGjyPUzZ8606tSpU4IVubfGjRtbzz//fJHrExISrEaNGpVgRe6LsTAHY3EBZ1hcIDg4WCtWrFDr1q0LXf/tt9+qe/fuOnnyZAlX5n58fX21bds23XDDDYWu37Vrl6Kioi75zcS4evz8/LR161bGwwCMhTkYiwuYw+ICeXl58vb2LnK9t7e38vLySrAi93XTTTc5/Ez7n82fP18NGjQowYrcW2RkpFasWFHk+hUrVnD1XAlhLMzBWFzA97C4QPfu3fXwww/rzTffdPgBK0nasmWLBg8erL///e8uqs69TJs2Td27d1diYqJiYmIcPhtOSkrSr7/+eskXClxdL7zwgvr166fk5ORCxyMxMVFLly51cZXugbEwB2NxAR8JucDJkyfVr18/rVy5UsHBwapSpYok6ciRIzp16pRsNpuWLl2qChUquLZQN5GamqpZs2Zp3bp19qu0wsLC1KpVKz3yyCP8OnAJW7t2rV599VWlpKQUGI8nnnhCrVq1cnGF7oOxMAdjQWBxqZ07dxb65Ktfv76LKwMAwCwEFgAAYDwm3QIAAOMRWAAAgPEILAAAwHgEFgAAYDwCC3AZL7zwgr7++mtXl4H/Wbx4sX755RdXlwExFiZxh7HgKiFD1axZUx07dtT48eMVHh7u6nLcWs2aNZWenq7bb79dH3/8savLcXuenp4qW7asHn74Yb322muuLsetMRbmcIex4AyLoeLi4pSbm6s2bdq4uhS3t2fPHh0/flyDBw92dSnQhZ+22Llzp2688UZXl+L2GAtzuMNYcIYFAAAYjzMswCVkZWXpq6++cnUZgMvk5uY63F6/fr2++uornTt3zkUVIV98fLwOHTrk6jJKDIHFQPv379cDDzzg6jIg6eeff9Ztt93m6jLcxrlz5zRixAjVqVNHLVq00Pz58x3Wp6eny8vLy0XVuZfDhw+rbdu28vHxUfv27XXy5El1795drVq1UocOHdSwYUMdPnzY1WW6he+//77QZcmSJdqwYYP9dmnHR0IG2rZtm5o2bVrgnQ1KHmNRssaOHavZs2dr+PDhOnXqlGbMmKHevXtrzpw5ki4ElqpVqyovL8/FlZZ+sbGx+uWXXzRy5EgtWbJE+/fvl5eXl95++23l5uaqX79+ioqK0owZM1xdaqnn6ekpDw8PFfbPdX67h4dHqX+dKuPqAtzRf/7zn0uu//XXX0uoElSsWPGS60v7C4BplixZonnz5ql79+6SpAEDBqhLly6Kj4+3n23x8PBwZYlu4/PPP9cHH3ygW265RW3atFFISIhWr16tatWqSbpwuf/AgQNdXKV7aNy4sapXr66pU6fKz89PkmRZlurWravPPvtMdevWdXGFJYMzLC5wqbSczx3SsgnKlSunwYMHq1GjRoWu37t3r8aNG8dYlBB/f3/t2LFDkZGR9raDBw+qY8eOat68uSZPnqyIiAjGowT4+fnpp59+UkREhCQpICBAW7duVZ06dSRJ+/btU/369XXmzBlXlukWcnJyNGLECK1evVr/+te/1KRJE0lS2bJltW3bNjVo0MDFFZYMzrC4QNWqVfX666/rzjvvLHT91q1bFR0dXcJVuaeoqChFREQoLi6u0PXbtm3TuHHjSrgq9xUWFqZffvnFIbBUq1ZNa9as0W233aYBAwa4rDZ3U6VKFR0+fNgeWIYOHepwRvLkyZMqV66cq8pzK97e3po+fbo+++wz/d///Z+GDBmiZ555xtVllTgm3bpAdHS0Nm3aVOT6y519wdXTrVs3nTp1qsj1FStWVGxsbMkV5OY6duyopUuXFmgPDw/XF198oT179rigKvcUFRWllJQU++2JEyc6BJZvvvlGjRs3dkVpbqtLly7auHGjvv76a3Xo0MHV5ZQ4PhJyga+//lpZWVnq3LlzoeuzsrK0ceNGtW/fvoQrA1xr79692rlzp2w2W6HrDx06pNWrVxd5RgwlZ8OGDfL391fDhg1dXYpbevXVV7VmzRq99tprql69uqvLKREEFgAAYDw+EjJAdna2srOzXV0GCnH48GHt27fP1WXgfxgPczAW5nCXsSCwuMjq1avVtWtXBQcHy9/fX/7+/goODlbXrl31+eefu7o8/E/Hjh1Vs2ZNV5eB/2E8zMFYmMNdxoKrhFxg0aJFeuihh3Tvvffq5ZdfVmhoqKQLX4q1atUqde3aVW+++ab69+/v4kqxePFiLts0CONhDsbCHO4yFsxhcYF69erpiSee0KOPPlro+tdff10vv/yydu/eXcKVAQBgJgKLC/j6+mrbtm264YYbCl2/a9cuRUVF6ezZsyVcmfs6f/68tm/frrS0NEkXvg+kQYMGKlu2rIsrc0+MhzkYC3O4/VhYKHFNmza1nn766SLXjxgxwmratGkJVuS+cnNzreeee86qUKGC5eHh4bBUqFDBGj16tJWbm+vqMt0G42EOxsIcjMUFzGFxgWnTpql79+5KTExUTEyMwxyWpKQk/frrr1qxYoWLq3QPI0eO1MKFCzVx4kTZbLYC84mef/555eTkaNKkSS6u1D0wHuZgLMzBWFzAR0IukpqaqlmzZmndunUOp/datWqlRx55xOGryXHthIWFadGiRUV+UdnKlSsVGxur9PT0Eq7MPTEe5mAszMFYXMAZFheJjIws9Wn4enD69GmFh4cXub5q1arKysoqwYrcG+NhDsbCHIzFBZxhcaE/T6CqWrWqbrzxRveZQGWAbt266fz581qyZIlCQkIc1h07dkz9+/eXl5eXPvnkExdV6F4YD3MwFuZgLC4gsLhAXl6exowZo5kzZyojI8NhXVBQkIYOHapx48bJ05Pv9bvW9u/fr65du2rnzp1q1KiRw2fDP/zwgxo0aKBPPvnE/ou1uLYYD3MwFuZgLC4gsLjAiBEjtHDhQo0fP77ICVQDBgzgI6MSkpeXp5UrVxY6n6hTp04ExxLGeJiDsTAHY0FgcQkmUAEA4JzSH8kMxAQqMzj7Y2EHDx68RpVAYjxMwliYg7H4A4HFBTp06KDhw4fr2LFjBdYdO3ZMzzzzjDp06FDyhbmZ5s2ba9CgQfruu++K7JORkaG5c+eqYcOGev/990uwOvfDeJiDsTAHY/EHLmt2gdmzZ6tr166qWrXqJSdQ4drasWOHXnzxRd1xxx3y9fVVdHS0wsPD5evrq5MnT2rHjh3avn27mjZtqsmTJ6tr166uLrlUYzzMwViYg7H4A3NYXIQJVOY4e/asVqxYoW+++UZ79+7V2bNnFRISoiZNmshms6lhw4auLtGtMB7mYCzMwVgQWAAAwHWAt/EAAMB4BBYD3XjjjfLy8nJ1GQAAGINJtwaaMGFCgW/ABQDAnTGHBQAAGI8zLC6WkZHhcJVQUFCQiysCAMA8zGFxkXnz5qlBgwaqWLGiGjRo4PD/b775pqvLAwDAKJxhcYEpU6Zo7Nixevzxxwv98cMnnnhCJ0+e1PDhw11cKQAAZmAOiwvUqFFDU6ZMUa9evQpdv2zZMj399NNO/4YEAAClFR8JucCRI0fUqFGjItc3atSo0N8ZAgDAXRFYXKB58+aaOHGizp8/X2Bdbm6uJk2apObNm7ugMgAAzMRHQi7w/fffy2az6dy5c7r11lsd5rB89dVX8vb21qpVq9zityEAACgOAouLnD59Wv/6178K/fHDfv36KTAw0MUVAgBgDgILAAAwHnNYDNGtWzcdPnzY1WUAAGAkAoshvvrqK509e9bVZQAAYCQCCwAAMB6BxRA1atRQ2bJlXV0GAABGYtItAAAwHmdYSpizX7d/8ODBa1QJAADXDwJLCWvevLkGDRqk7777rsg+GRkZmjt3rho2bKj333+/BKsDAMBM/FpzCduxY4defPFF3XHHHfL19VV0dLTCw8Pl6+urkydPaseOHdq+fbuaNm2qyZMnq2vXrq4uGQAAl2MOi4ucPXtWK1as0DfffKO9e/fq7NmzCgkJUZMmTWSz2fhafgAALkJgAQAAxmMOCwAAMB6BBQAAGI/AAgAAjEdgAQAAxiOwAAAA4xFYAACA8QgsAADAeAQWAABgvP8Pc6BUc0le+8QAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Data Exploration on False Positives and False Negatives\n",
    "\n",
    "false_positive = df[df[\"Result\"] == \"FP\"]\n",
    "false_negative = df[df[\"Result\"] == \"FN\"]\n",
    "de.false_events_plots(false_positive, \"False Positive\")\n",
    "de.false_events_plots(false_negative, \"False Negatives\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}