exercicio_resolução.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Horas de Irrigação</th>\n",
       "      <th>Área Irrigada</th>\n",
       "      <th>Área Irrigada por Ângulo</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>100</td>\n",
       "      <td>66.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>200</td>\n",
       "      <td>133.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>300</td>\n",
       "      <td>200.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>400</td>\n",
       "      <td>266.666667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>500</td>\n",
       "      <td>333.333333</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Horas de Irrigação  Área Irrigada  Área Irrigada por Ângulo\n",
       "0                   1            100                 66.666667\n",
       "1                   2            200                133.333333\n",
       "2                   3            300                200.000000\n",
       "3                   4            400                266.666667\n",
       "4                   5            500                333.333333"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from scipy.stats import shapiro, kstest, zscore\n",
    "import statsmodels.api as sm\n",
    "\n",
    "# Dados simulados com a nova variável\n",
    "df = pd.DataFrame({\n",
    "    'Horas de Irrigação': list(range(1, 300)),\n",
    "    'Área Irrigada': [i * 100 for i in range(1, 300)],\n",
    "    'Área Irrigada por Ângulo': [i * 100 / 1.5 for i in range(1, 300)]\n",
    "})\n",
    "\n",
    "df.to_csv('dados_de_irrigacao.csv', index=False)\n",
    "\n",
    "# Exibir o DataFrame\n",
    "df.head()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       Horas de Irrigação  Área Irrigada  Área Irrigada por Ângulo\n",
      "count          299.000000     299.000000                299.000000\n",
      "mean           150.000000   15000.000000              10000.000000\n",
      "std             86.458082    8645.808233               5763.872155\n",
      "min              1.000000     100.000000                 66.666667\n",
      "25%             75.500000    7550.000000               5033.333333\n",
      "50%            150.000000   15000.000000              10000.000000\n",
      "75%            224.500000   22450.000000              14966.666667\n",
      "max            299.000000   29900.000000              19933.333333\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qsTXMX3/9JXr16iUqVaokLCwsxIcffiju3LkjAIjp06drtHXu3Dnh5eUlTE1NhYmJiWjfvr04duzYm37dQggh7t69KypUqCDWrFmjUf5yS5o3yc7OFv/9739FgwYNhFKpFJUrVxYeHh5i5syZIj09XV1vx44dwtXVVRgZGYk6deqI//73v2LVqlV5focFfWbR0dGiZ8+ewtbWVhgaGgpbW1vRv39/cePGjTzvx9/fX1StWlUYGhqKRo0aidWrV2vUebklzbfffpvnPvn9fn19fUXr1q3f+LsgItKWQogClvgRUbmlUqnQsGFDbN26VWOOZHEaMmQIbty4gSNHjpTI/Uuz1NRU2NvbY+PGjewpJCLZcE4hEeWhp6cHLy8vbNiwocRimD59Ok6fPq3Vo/zKmwULFqBRo0ZMCIlIVpxTSEQaVqxYAX19fezZswfe3t4lFkft2rXx7NmzErt/aTZ79uySDoGI3kLsKSQiDceOHUNAQAD09fUxcuTIkg6HiIiKCZNCItLw448/IisrC5cvX8Y777xT0uEQEZUphw8fRvfu3WFrawuFQoHIyMjX1k9JScGAAQPwzjvvQE9PD+PHj8+33pYtW+Ds7AwjIyM0atRI/XjVl4QQmDZtGmxsbGBsbIxOnTrl2Uf2TZgUEhEREckkMzMTbm5uWLJkiVb1s7KyUK1aNYSEhBS4Gf2xY8fQv39/DBkyBOfPn4ePjw98fHw0nro1Z84cLFq0CMuXL8fJkydRsWJFeHl5FWoaDlcfExEREemAQqHA9u3b4ePjo1X9du3awd3dPc9DAXx9fZGZmYldu3apy5o3bw53d3csX74cQgjY2tpiwoQJmDhxIoAXG9xbWVkhIiIC/fr10+r+7CkkIiIiKkBWVhYyMjI0jpdPLCoux48fz/MIUi8vLxw/fhzAi0depqamatSxsLCAp6enuo42St3q49M1epV0CERERFRITW9vL7F75zxI1Fnbod/9hJkzZ2qUTZ8+HTNmzNDZPf8tNTUVVlZWGmVWVlZITU1Vn39ZVlAdbZS6pJCIiIiotAgODkZQUJBGmVKpLKFodItJIREREZVtqlydNa1UKks8CbS2tsbdu3c1yu7evQtra2v1+ZdlNjY2GnXc3d21vg/nFBIREVHZJlS6O0qBFi1aIDo6WqMsKioKLVq0AADY29vD2tpao05GRgZOnjyprqMN9hQSERERyeTJkydISEhQv05KSkJsbCyqVKmC2rVrIzg4GLdv38ZPP/2krhMbG6u+9v79+4iNjYWhoSHq168PABg3bhzatm2LefPmoVu3bti4cSPOnDmD8PBwAC9WOY8fPx5fffUV6tatC3t7e0ydOhW2trZar3wGSuGWNFxoQkREVPaU6EKTlGs6a9vAxqVQ9Q8ePIj27dvnKffz80NERAQ++eQT/PHHHzh48KD6nEKhyFPfzs4Of/zxh/r1li1bEBISgj/++AN169bFnDlz0LVrV/V5IQSmT5+O8PBwpKWloXXr1li6dGmhHkLApJCIiIgkY1JY9nH4mIiIiMo0UUrm/pV1XGhCREREROwpJCIiojJOxZ5CObCnkIiIiIjYU0hERERlHOcUyoJJIREREZVtOnyiSXnC4WMiIiIikq+n8OV2h/ltwEhERESkMxw+loXknsKffvoJjRo1grGxMYyNjeHq6oo1a9bIERsRERERFRNJPYVhYWGYOnUqxowZg1atWgEAYmJiMHLkSDx48ACBgYGyBElERERUIG5JIwtJSeHixYuxbNkyDBo0SF3Wo0cPNGjQADNmzGBSSERERFRGSEoKU1JS0LJlyzzlLVu2REpKipSmiYiIiLTCx9zJQ9KcQicnJ2zevDlP+aZNm1C3bl0pTRMRERFRMZLUUzhz5kz4+vri8OHD6jmFR48eRXR0dL7JIhEREZHsOKdQFpKSwj59+uDkyZOYP38+IiMjAQAuLi44deoU3n33XTniIyIiIno9Dh/LQvI+hR4eHli7dq0csRARERFRCZFt8+pnz54hOztbo8zc3Fyu5omIiIjyx8fcyULSQpOnT59izJgxqF69OipWrIjKlStrHERERERUNhQ6Kaxfvz6mTZsGAJg0aRL279+PZcuWQalU4ocffsDMmTNha2uLn376SfZgiYiIiPIQKt0d5Uihk8Lo6Ghs2rQJALBz504sXboUffr0QYUKFfDee+8hJCQE33zzDdatWyd7sERERESkG4VOCvv27YuQkBAAwKNHj+Dg4ADgxfzBR48eAQBat26Nw4cPyxgmERERUQFUKt0d5Uihk8L79+/j+PHjAAAHBwckJSUBAJydndV7E+7cuROVKlWSL0oiIiIi0qlCrz4+efIkjh07BgDw9/fHhQsX0LZtW0yZMgXdu3fHd999h5ycHISFhckeLBEREVEe5Wzun64ohBBCrsZu3bqFs2fPwsnJCa6urkVq43SNXnKFQ0RERMWk6e3tJXbvrIt7dda20tVLZ22XNrLtUwgAdnZ2sLOzk7NJIiIiIioGkvYpHDt2LBYtWpSn/LvvvsP48eOlNE1ERESkFSFydXaUJ5KSwq1bt6JVq1Z5ylu1aoU1a9Zg+vTpePfdd/Hf//5Xym2IiIiISMckDR8/fPgQFhYWecrNzMzw999/o379+qhXrx6GDx+Ozz77TMqtiIiIiPLHhSaykNRT6OTkhD179uQp/+233+Ds7AxfX1+4u7vDxsZGym2IiIiISMck9RQGBQVhzJgxuH//Pjp06ADgxRNP5s2bhwULFgB48Vi8+Ph4yYESERER5aucbTKtK5KSwsGDByMrKwtff/01vvzySwBAnTp1sGzZMgwaNEiWAImIiIhI92Tbp/D+/fswNjaGqamppHa4TyEREVHZU5L7FD47G6mzto08fHTWdmkj2z6F1apVk6spIiIiIu2pytfWMboiOSn8+eefsXnzZiQnJyM7O1vj3Llz56Q2T0RERETFQNLq40WLFsHf3x9WVlY4f/48mjVrBktLSyQmJsLb21uuGImIiIgKJlS6O8oRSUnh0qVLER4ejsWLF8PQ0BCTJ09GVFQUxo4di/T0dLliJCIiIiIdk5QUJicno2XLlgAAY2NjPH78GADw8ccfY8OGDdKjIyIiInoTlUp3RzkiKSm0trbGo0ePAAC1a9fGiRMnAABJSUmQaVEzERERERUDSUlhhw4dsGPHDgCAv78/AgMD0blzZ/j6+qJXL24tQ0RERMWAcwplIWn1cXh4OFT/37UaEBAAS0tLHDt2DD169MCIESNkCZCIiIiIdE9SUqinpwc9vf91Nvbr1w/9+vWTHBQRERGR1srZ3D9dkZQUXrx4Md9yhUIBIyMj1K5dG0qlUsotiIiIiKgYSEoK3d3doVAo1K+FEBqvDQwM4OvrixUrVsDIyEjKrYiIiIjyx55CWUhaaLJ9+3bUrVsX4eHhiI2NxYULFxAeHo569eph/fr1WLlyJfbv34+QkBC54iUiIiLSIESuzo7yRFJP4ddff42FCxfCy8tLXdaoUSPUrFkTU6dOxalTp1CxYkVMmDABc+fOlRwsEREREemGpKTw0qVLsLOzy1NuZ2eHS5cuAXgxxJySkiLlNkREREQF4/CxLCQNHzs7O2P27NnIzs5Wl+Xk5GD27NlwdnYGANy+fRtWVlbSoiQiIiIinZKUFC5ZsgS7du1CzZo10alTJ3Tq1Ak1a9bErl27sGzZMgBAYmIiRo8eLUuwRERERHmUos2rDx8+jO7du8PW1hYKhQKRkZFvvObgwYNo3LgxlEolnJycEBERoXG+Tp06UCgUeY6AgAB1nXbt2uU5P3LkyELFLmn4uGXLlkhKSsK6detw48YNAMCHH36IAQMGwMzMDMCL5yATERERlQeZmZlwc3PD4MGD0bt37zfWT0pKQrdu3TBy5EisW7cO0dHRGDp0KGxsbNRrNk6fPo3c3P8terl8+TI6d+6MDz/8UKOtYcOGYdasWerXJiYmhYpdUlIIAGZmZoXORImIiIhkU4rmFHp7e8Pb21vr+suXL4e9vT3mzZsHAHBxcUFMTAzmz5+vTgqrVaumcc3s2bPh6OiItm3bapSbmJjA2tq6yLEXOincsWMHvL29YWBgoH7ucUF69OhR5MCIiIiISlpWVhaysrI0ypRKpWwP5zh+/Dg6deqkUebl5YXx48fnWz87Oxtr165FUFCQxt7QALBu3TqsXbsW1tbW6N69O6ZOnVqo3sJCJ4U+Pj5ITU1F9erV4ePjU2A9hUKh0dVJREREpBNFmPunrdDQUMycOVOjbPr06ZgxY4Ys7aempuZZkGtlZYWMjAz8888/MDY21jgXGRmJtLQ0fPLJJxrlAwYMgJ2dHWxtbXHx4kV89tlnuH79OrZt26Z1LIVOClWvdNGqSlF3LREREZVTOsxHgoODERQUpFFWko/wXblyJby9vWFra6tRPnz4cPXPjRo1go2NDTp27IibN2/C0dFRq7aLvPo4JycHHTt2RHx8fFGbICIiIirVlEolzM3NNQ45k0Jra2vcvXtXo+zu3bswNzfP00t469Yt7Nu3D0OHDn1ju56engCAhIQErWMp8kITAwMDXLx4saiXExEREclDh8PHutaiRQv8+uuvGmVRUVFo0aJFnrqrV69G9erV0a1btze2GxsbCwCwsbHROhZJ+xQOHDgQK1eulNIEERER0VvjyZMniI2NVSdlSUlJiI2NRXJyMoAXw9GDBg1S1x85ciQSExMxefJkxMXFYenSpdi8eTMCAwM12lWpVFi9ejX8/PxQoYJmn97Nmzfx5Zdf4uzZs/jjjz+wY8cODBo0CG3atIGrq6vWsUvakub58+dYtWoV9u3bBw8PD1SsWFHjfFhYmJTmiYiIiN6sFK1xOHPmDNq3b69+/XI+op+fHyIiIpCSkqJOEAHA3t4eu3fvRmBgIBYuXIiaNWvihx9+UG9H89K+ffuQnJyMwYMH57mnoaEh9u3bhwULFiAzMxO1atVCnz59EBISUqjYFUIIUagrXvHqm87TsEKB/fv3F7rN0zV6FTUcIiIiKiFNb28vsXv/89sinbVt7D1WZ22XNkXuKczNzcXMmTPRqFEjVK5cWc6YiIiIiLRXinoKy7IizynU19dHly5dkJaWJmM4RERERFQSJC00adiwIRITE+WKhYiIiKjwhEp3RzkiKSn86quvMHHiROzatQspKSnIyMjQOIiIiIh0TqXS3VGOSFp93LVrVwAvnnH86vP3hBB8zB0RERFRGSIpKTxw4IBccRAREREVTTkb5tUVSUlh27Zt5YqDZGLqWR82o3xg0sgRhtZVED84FGl7T5V0WFSO8TtJpRG/l0R5FSkp1PbxdoXZRZvkoW9ihKdX/8D9jdGou3JKSYdDxO8klUr8Xr5lytncP10pUlLo7u4OhUKB1+17zTmFJSP9wDmkHzhX0mEQqfE7SaURv5dEeRUpKUxKSpI7DiIiIqKi4ZxCWRQpKbSzs5M7DiIiIiIqQZIWmkiVlZWFrKwsjbJskQtDhX4JRURERERlDucUykLS5tVShYaGwsLCQuOIeHyjJEMiIiKisoabV8uiRJPC4OBgpKenaxyfmL1TkiERERERlUslOnysVCqhVCo1yjh0LI2eiRGU9tbq18raVjBuUAe5fz9B9p0HJRgZlVf8TlJpxO/lW+Y1u6GQ9iQnhc+fP8fBgwdx8+ZNDBgwAGZmZrhz5w7Mzc1hamoqR4xUCBXdHOH881fq17VnDAYAPNi8H0mBi0sqLCrH+J2k0ojfS6K8FOJ1mw2+wa1bt/D+++8jOTkZWVlZuHHjBhwcHDBu3DhkZWVh+fLlhW7zdI1eRQ2HiIiISkjT29tL7N7/bJius7aN+8/UWduljaQ5hePGjUOTJk3w999/w9jYWF3eq1cvREdHSw6OiIiIiIqHpOHjI0eO4NixYzA0NNQor1OnDm7fvi0pMCIiIiKtlLNVwroiqadQpVLl+yi7v/76C2ZmZlKaJiIiIqJiJCkp7NKlCxYsWKB+rVAo8OTJE0yfPh1du3aVGhsRERHRmwmV7o5yRNLw8bx58+Dl5YX69evj2bNnGDBgAOLj41G1alVs2LBBrhiJiIiICsbhY1lISgpr1qyJCxcuYOPGjbh48SKePHmCIUOG4KOPPtJYeEJEREREpZvkfQorVKiAgQMHyhELERERUeFx82pZFDop3LFjh9Z1e/ToUdjmiYiIiKgEFDop9PHx0XitUCjw7/2vFQoFAOS7MpmIiIhIVpxTKItCrz5WqVTq4/fff4e7uzt+++03pKWlIS0tDb/99hsaN26MPXv26CJeIiIiItIBSXMKx48fj+XLl6N169bqMi8vL5iYmGD48OG4du2a5ACJiIiIXos9hbKQtE/hzZs3UalSpTzlFhYW+OOPP6Q0TURERETFSFJS2LRpUwQFBeHu3bvqsrt372LSpElo1qyZ5OCIiIiI3oibV8tC0vDxqlWr0KtXL9SuXRu1atUCAPz555+oW7cuIiMj5YiPiIiI6LWEilvSyEFSUujk5ISLFy8iKioKcXFxAAAXFxd06tRJvQKZiIiIiEo/yZtXKxQKdOnSBV26dJEjHiIiIqLC4UITWUiaU0hEREREbwfJPYVEREREJaqcLQjRFfYUEhERERF7ComIiKiM4+pjWUjqKTx37hwuXbqkfv3LL7/Ax8cHn3/+ObKzsyUHR0RERETFQ1JSOGLECNy4cQMAkJiYiH79+sHExARbtmzB5MmTZQmQiIiI6LVUKt0d5YikpPDGjRtwd3cHAGzZsgVt2rTB+vXrERERga1bt8oRHxEREdHrMSmUhaSkUAgB1f//wvbt24euXbsCAGrVqoUHDx5Ij46IiIiIioWkhSZNmjTBV199hU6dOuHQoUNYtmwZACApKQlWVlayBEhERET0WoILTeQgqadwwYIFOHfuHMaMGYMvvvgCTk5OAICff/4ZLVu2lCVAIiIiItI9ST2Frq6uGquPX/r222+hr68vpWkiIiIi7ZSzuX+6opN9Co2MjHTRLBERERHpiKSkMDc3F/Pnz8fmzZuRnJycZ2/CR48eSQqOiIiI6I24ebUsJM0pnDlzJsLCwuDr64v09HQEBQWhd+/e0NPTw4wZM2QKkYiIiKhsOHz4MLp37w5bW1soFApERka+8ZqDBw+icePGUCqVcHJyQkREhMb5GTNmQKFQaBzOzs4adZ49e4aAgABYWlrC1NQUffr0wd27dwsVu6SkcN26dfj+++8xYcIEVKhQAf3798cPP/yAadOm4cSJE1KaJiIiItKOUOnuKKTMzEy4ublhyZIlWtVPSkpCt27d0L59e8TGxmL8+PEYOnQo9u7dq1GvQYMGSElJUR8xMTEa5wMDA7Fz505s2bIFhw4dwp07d9C7d+9CxS5p+Dg1NRWNGjUCAJiamiI9PR0A8MEHH2Dq1KlSmiYiIiLSTikaPvb29oa3t7fW9ZcvXw57e3vMmzcPAODi4oKYmBjMnz8fXl5e6noVKlSAtbV1vm2kp6dj5cqVWL9+PTp06AAAWL16NVxcXHDixAk0b95cq1gk9RTWrFkTKSkpAABHR0f8/vvvAIDTp09DqVRKaZqIiIioxGVlZSEjI0PjyMrKkq3948ePo1OnThplXl5eOH78uEZZfHw8bG1t4eDggI8++gjJycnqc2fPnkVOTo5GO87Ozqhdu3aedl5HUlLYq1cvREdHAwA+/fRTTJ06FXXr1sWgQYMwePBgKU0TERERaUWoVDo7QkNDYWFhoXGEhobKFntqamqeB35YWVkhIyMD//zzDwDA09MTERER2LNnD5YtW4akpCS89957ePz4sboNQ0NDVKpUKU87qampWsciafh49uzZ6p99fX1hZ2eHY8eOoW7duujevbuUpomIiIhKXHBwMIKCgjTKins09NXhaFdXV3h6esLOzg6bN2/GkCFDZLtPkZPCnJwcjBgxAlOnToW9vT0AoHnz5lqPWxMRERHJQodzCpVKpU6TQGtr6zyrhO/evQtzc3MYGxvne02lSpXwzjvvICEhQd1GdnY20tLSNHoL7969W+A8xPwUefjYwMAAW7duLerlREREROVeixYt1FPxXoqKikKLFi0KvObJkye4efMmbGxsAAAeHh4wMDDQaOf69etITk5+bTv/JmlOoY+Pj1b77xARERHpTCnakubJkyeIjY1FbGwsgBdbzsTGxqoXhgQHB2PQoEHq+iNHjkRiYiImT56MuLg4LF26FJs3b0ZgYKC6zsSJE3Ho0CH88ccfOHbsGHr16gV9fX30798fAGBhYYEhQ4YgKCgIBw4cwNmzZ+Hv748WLVoUagRX0pzCunXrYtasWTh69Cg8PDxQsWJFjfNjx46V0jwRERFRmXLmzBm0b99e/frlfEQ/Pz9EREQgJSVFY+Wwvb09du/ejcDAQCxcuBA1a9bEDz/8oLEdzV9//YX+/fvj4cOHqFatGlq3bo0TJ06gWrVq6jrz58+Hnp4e+vTpg6ysLHh5eWHp0qWFil0hhCjyQPzLuYT5NqxQIDExsdBtnq7Rq6jhEBERUQlpent7id07c9ZHOmu74rR1Omu7tJHUU5iUlCRXHERERERFoyr8MC/lJWlO4auEEJDQ6UhEREREJUhyUvjTTz+hUaNGMDY2hrGxMVxdXbFmzRo5YiMiIiJ6M5XQ3VGOSBo+DgsLw9SpUzFmzBi0atUKABATE4ORI0fiwYMHGitniIiIiKj0kpQULl68GMuWLdNYWt2jRw80aNAAM2bMYFJIREREuleErWMoL0nDxykpKWjZsmWe8pYtWyIlJUVK00RERERUjCQlhU5OTti8eXOe8k2bNqFu3bpSmiYiIiLSDucUykLS8PHMmTPh6+uLw4cPq+cUHj16FNHR0fkmi0RERERUOklKCvv06YOTJ09i/vz56sfdubi44NSpU3j33XfliI+IiIjotQT3KZSFpKQQePEQ5rVr18oRCxERERGVkCIlhRkZGVrVMzc3L0rzRERERNorZ3P/dKVISWGlSpWgUCgKPC+EgEKhQG5ubpEDIyIiItIKk0JZFCkpPHDggPpnIQS6du2KH374ATVq1JAtMCIiIiIqPkVKCtu2bavxWl9fH82bN4eDg4MsQRERERFpjZtXy0Lys4+JiIiIqOyTvPqYiIiIqERxTqEsZOspfN3CEyIiIiIq3YrUU9i7d2+N18+ePcPIkSNRsWJFjfJt27YVPTIiIiIiLQj2FMqiSEmhhYWFxuuBAwfKEgwRERERlYwiJYWrV6+WOw4iIiKiomFPoSy40ISIiIjKNj77WBbckoaIiIiI2FNIREREZRyHj2XBnkIiIiIiYk8hERERlXHsKZQFewqJiIiIiD2FREREVLYJwZ5CObCnkIiIiIjYU0hERERlHOcUyoJJIREREZVtTAplweFjIiIiImJPIREREZVtgj2FsmBSSERUBikU/I8gEcmLSSERERGVbewplAXnFBIRERERewqJiIiojFOVdABvB/YUEhERERF7ComIiKhs4+pjeTApJCIiorKNSaEsOHxMREREROwpJCIiojKOC01kwZ5CIiIiImJPIREREZVtXGgiD/YUEhERERF7ComIiKiM45xCWbCnkIiIiIjYU0hERERlG+cUyoM9hURERFS2qXR4FNLhw4fRvXt32NraQqFQIDIy8o3XHDx4EI0bN4ZSqYSTkxMiIiI0zoeGhqJp06YwMzND9erV4ePjg+vXr2vUadeuHRQKhcYxcuTIQsXOpJCIiIhIJpmZmXBzc8OSJUu0qp+UlIRu3bqhffv2iI2Nxfjx4zF06FDs3btXXefQoUMICAjAiRMnEBUVhZycHHTp0gWZmZkabQ0bNgwpKSnqY86cOYWKncPHREREVKaJUrTQxNvbG97e3lrXX758Oezt7TFv3jwAgIuLC2JiYjB//nx4eXkBAPbs2aNxTUREBKpXr46zZ8+iTZs26nITExNYW1sXOXb2FBIREREVICsrCxkZGRpHVlaWbO0fP34cnTp10ijz8vLC8ePHC7wmPT0dAFClShWN8nXr1qFq1apo2LAhgoOD8fTp00LFwqSQiIiIyjYdzikMDQ2FhYWFxhEaGipb6KmpqbCystIos7KyQkZGBv7555+8b1Wlwvjx49GqVSs0bNhQXT5gwACsXbsWBw4cQHBwMNasWYOBAwcWKhYOHxMREREVIDg4GEFBQRplSqWyhKIBAgICcPnyZcTExGiUDx8+XP1zo0aNYGNjg44dO+LmzZtwdHTUqm0mhURERFSm6XJOoVKp1GkSaG1tjbt372qU3b17F+bm5jA2NtYoHzNmDHbt2oXDhw+jZs2ar23X09MTAJCQkKB1UsjhYyIiIqIS0qJFC0RHR2uURUVFoUWLFurXQgiMGTMG27dvx/79+2Fvb//GdmNjYwEANjY2WsfCnkIiIiIq20rR6uMnT54gISFB/TopKQmxsbGoUqUKateujeDgYNy+fRs//fQTAGDkyJH47rvvMHnyZAwePBj79+/H5s2bsXv3bnUbAQEBWL9+PX755ReYmZkhNTUVAGBhYQFjY2PcvHkT69evR9euXWFpaYmLFy8iMDAQbdq0gaurq9axMykkIiKiMq00bUlz5swZtG/fXv365XxEPz8/REREICUlBcnJyerz9vb22L17NwIDA7Fw4ULUrFkTP/zwg3o7GgBYtmwZgBcbVL9q9erV+OSTT2BoaIh9+/ZhwYIFyMzMRK1atdCnTx+EhIQUKnaFEKJUPRvmdI1eJR0CEVGpp1CUqn+6idDkr8gSu/f9zm111na1qEM6a7u0YU8hERERlWmlqaewLONCEyIiIiJiTyERERGVbewplAd7ComIiIiIPYVERERUxglFSUfwVmBPIRERERGxp5CIiIjKNs4plAeTQiIiIirThIrDx3KQJSm8evUqkpOTkZ2drVHeo0cPOZonIiIiIh2TlBQmJiaiV69euHTpEhQKBV4+HEWheJGx5+bmSo+QiIiI6DU4fCwPSQtNxo0bB3t7e9y7dw8mJia4cuUKDh8+jCZNmuDgwYMyhUhEREREuiapp/D48ePYv38/qlatCj09Pejp6aF169YIDQ3F2LFjcf78ebniJCIiIsqX4JY0spDUU5ibmwszMzMAQNWqVXHnzh0AgJ2dHa5fvy49OiIiIiIqFpJ6Chs2bIgLFy7A3t4enp6emDNnDgwNDREeHg4HBwe5YiQiIiIqEOcUykNSUhgSEoLMzEwAwKxZs/DBBx/gvffeg6WlJTZt2iRLgERERESke5KSQi8vL/XPTk5OiIuLw6NHj1C5cmX1CmQiIiIiXeI+hfKQffPqKlWqyN0kERERUYH+f0c8kqjQSWHv3r21rrtt27bCNk9EREREJaDQSaGFhYX6ZyEEtm/fDgsLCzRp0gQAcPbsWaSlpRUqeSQiIiIqKg4fy6PQSeHq1avVP3/22Wfo27cvli9fDn19fQAvtqkZPXo0zM3N5YuSiIiIiHRKIUTRR+KrVauGmJgY1KtXT6P8+vXraNmyJR4+fFjoNk/X6FXUcIiIyg2FgpOoqHRp8ldkid37D/fOOmu7TmyUztoubSRtXv38+XPExcXlKY+Li4NKxU2DiIiIiMoKSauP/f39MWTIENy8eRPNmjUDAJw8eRKzZ8+Gv7+/LAESERERvQ5XH8tDUlI4d+5cWFtbY968eUhJSQEA2NjYYNKkSZgwYYIsARIRERGR7kmaU/iqjIwMAJC8wIRzComI3oxzCqm0Kck5hYmNuuisbYdLv+us7dJGts2rudqYiIiIqOySnBT+/PPP2Lx5M5KTk5Gdna1x7ty5c1KbJyIiInotIbhPoRwkrT5etGgR/P39YWVlhfPnz6NZs2awtLREYmIivL295YqRiIiIqEBCpbujPJGUFC5duhTh4eFYvHgxDA0NMXnyZERFRWHs2LFIT0+XK0YiIiIi0jFJSWFycjJatmwJADA2Nsbjx48BAB9//DE2bNggPToiIiKiN1AJhc6O8kRSUmhtbY1Hjx4BAGrXro0TJ04AAJKSkiDTomYiIiIiKgaSksIOHTpgx44dAF5sZB0YGIjOnTvD19cXvXpxaxkiIiLSPSEUOjvKE0mrj8PDw9WPswsICIClpSWOHTuGHj16YMSIEbIESERERES6Jykp1NPTg57e/zob+/Xrh379+kkOioiIiEhbQlW+evR0RVJSePHixXzLFQoFjIyMULt2bSiVSim3ICIiIqJiICkpdHd3h0Lxv+xcCKHx2sDAAL6+vlixYgWMjIyk3IqIiIgoX1zbKg9JC022b9+OunXrIjw8HLGxsbhw4QLCw8NRr149rF+/HitXrsT+/fsREhIiV7xEREREGoRKobOjPJHUU/j1119j4cKF8PLyUpc1atQINWvWxNSpU3Hq1ClUrFgREyZMwNy5cyUHS0RERES6ISkpvHTpEuzs7PKU29nZ4dKlSwBeDDGnpKRIuQ0RERFRgcrbJtO6Imn42NnZGbNnz0Z2dra6LCcnB7Nnz4azszMA4Pbt27CyspIWJRERERHplKSewiVLlqBHjx6oWbMmXF1dAbzoPczNzcWuXbsAAImJiRg9erT0SImIiIjyUd42mdYVhZD4PLrHjx9j3bp1uHHjBgCgXr16GDBgAMzMzIrU3ukafBIKEdGbKBRcbkmlS5O/Ikvs3pfsu+us7UZJO3XWdmkjqacQAMzMzDBy5Eg5YiEiIiIqNG5JI49CJ4U7duyAt7c3DAwM1M89LkiPHj2KHBgRERERFZ9CJ4U+Pj5ITU1F9erV4ePjU2A9hUKB3NxcKbERERERvRFXH8uj0EmhSqXK92cqHUw968NmlA9MGjnC0LoK4geHIm3vqZIOi8oxfiepNDL1rA/rkb3U38uEIaFI23uypMOiIuJCE3kUeUuanJwcdOzYEfHx8XLGQxLpmxjh6dU/cOuL8JIOhQgAv5NUOumZGOHp1SQkh6wo6VCISo0iJ4UGBga4ePGinLGQDNIPnMPtOeuRtod/8VLpwO8klUYZB87hzrf8Xr4thNDdUViHDx9G9+7dYWtrC4VCgcjIyDdec/DgQTRu3BhKpRJOTk6IiIjIU2fJkiWoU6cOjIyM4OnpiVOnNEdcnj17hoCAAFhaWsLU1BR9+vTB3bt3CxW7pM2rBw4ciJUrV0ppgoiIiOitkZmZCTc3NyxZskSr+klJSejWrRvat2+P2NhYjB8/HkOHDsXevXvVdTZt2oSgoCBMnz4d586dg5ubG7y8vHDv3j11ncDAQOzcuRNbtmzBoUOHcOfOHfTu3btQsUvakub58+dYtWoV9u3bBw8PD1SsWFHjfFhYmJTmiYiIiN6oNC008fb2hre3t9b1ly9fDnt7e8ybNw8A4OLigpiYGMyfPx9eXl4AXuRTw4YNg7+/v/qa3bt3Y9WqVZgyZQrS09OxcuVKrF+/Hh06dAAArF69Gi4uLjhx4gSaN2+uVSySksLLly+jcePGAKDevPolheLNH1BWVhaysrI0yrJFLgwV+lLCIiIiIpJFfrmKUqmEUqmUpf3jx4+jU6dOGmVeXl4YP348ACA7Oxtnz55FcHCw+ryenh46deqE48ePAwDOnj2LnJwcjXacnZ1Ru3ZtHD9+XPdJYW5uLmbOnIlGjRqhcuXKRWojNDQUM2fO1CgbaloPw81dihoWERERlTO6XH2cX64yffp0zJgxQ5b2U1NTYWVlpVFmZWWFjIwM/PPPP/j777+Rm5ubb524uDh1G4aGhqhUqVKeOqmpqVrHUuQ5hfr6+ujSpQvS0tKK2gSCg4ORnp6ucXxi9k6R2yMiIiKSU365yqu9dm8TScPHDRs2RGJiIuzt7Yt0fX7drxw6lkbPxAhKe2v1a2VtKxg3qIPcv58g+86DEoyMyit+J6k00jMxgrKOjfq1slZ1GNe3R27aY34vyyBdzimUc6g4P9bW1nlWCd+9exfm5uYwNjaGvr4+9PX1861jbW2tbiM7OxtpaWkavYWv1tGGpNXHX331FSZOnIhdu3YhJSUFGRkZGgcVv4pujmj4+3w0/H0+AKD2jMFo+Pt81JjUv4Qjo/KK30kqjSq6OaHB7/PR4P+/l7VmDEGD3+fDduKAEo6MikLo8NC1Fi1aIDo6WqMsKioKLVq0AAAYGhrCw8NDo45KpUJ0dLS6joeHBwwMDDTqXL9+HcnJyeo62lAIUfTHSOvp/S+nfHVhiRCiyI+5O12jV1HDISIqNxSK4vjPFZH2mvwVWWL3PmFbuK1XCqP5nW2Fqv/kyRMkJCQAAN59912EhYWhffv2qFKlCmrXro3g4GDcvn0bP/30E4AXW9I0bNgQAQEBGDx4MPbv34+xY8di9+7d6tXHmzZtgp+fH1asWIFmzZphwYIF2Lx5M+Li4tRzDUeNGoVff/0VERERMDc3x6effgoAOHbsmNaxSxo+PnDggJTLiYiIiCQrTVvSnDlzBu3bt1e/DgoKAgD4+fkhIiICKSkpSE5OVp+3t7fH7t27ERgYiIULF6JmzZr44Ycf1AkhAPj6+uL+/fuYNm0aUlNT4e7ujj179mgsPpk/fz709PTQp08fZGVlwcvLC0uXLi1U7JJ6CnWBPYVERG/GnkIqbUqyp/CYTR+dtd0yZavO2i5titRTqO3j7VxdXYvSPBEREZHWdLklTXlSpKTQ3d0dCoUCr+tkLOqcQiIiIiIqfkVKCpOSkuSOg4iIiKhIVCUdwFuiSEmhnZ2d3HEQERERUQmStPqYiIiIqKQJcE6hHJgUEhERUZmm4mJ8WUh6ogkRERERvR3YU0hERERlmorDx7JgTyERERERSe8p/Pnnn7F582YkJycjOztb49y5c+ekNk9ERET0WlxoIg9JPYWLFi2Cv78/rKyscP78eTRr1gyWlpZITEyEt7e3XDESERERkY5JSgqXLl2K8PBwLF68GIaGhpg8eTKioqIwduxYpKenyxUjERERUYFUOjzKE0lJYXJyMlq2bAkAMDY2xuPHjwEAH3/8MTZs2CA9OiIiIiIqFpKSQmtrazx69AgAULt2bZw4cQLAi8fgve65yERERERyEVDo7ChPJCWFHTp0wI4dOwAA/v7+CAwMROfOneHr64tevXrJEiARERHR63D4WB6SVh+Hh4dDpXrxKwsICIClpSWOHTuGHj16YMSIEbIESERERES6Jykp1NPTg57e/zob+/Xrh379+kkOioiIiEhb5a1HT1ckb1595MgRDBw4EC1atMDt27cBAGvWrEFMTIzk4IiIiIioeEhKCrdu3QovLy8YGxvj/PnzyMrKAgCkp6fjm2++kSVAIiIiotfhQhN5SEoKv/rqKyxfvhzff/89DAwM1OWtWrXi00yIiIiIyhBJcwqvX7+ONm3a5Cm3sLBAWlqalKaJiIiItKIqXx16OiN5n8KEhIQ85TExMXBwcJDSNBEREREVI0lJ4bBhwzBu3DicPHkSCoUCd+7cwbp16zBx4kSMGjVKrhiJiIiICqSCQmdHeSJp+HjKlClQqVTo2LEjnj59ijZt2kCpVGLixIn49NNP5YqRiIiIqEB8hpo8ipwU5ubm4ujRowgICMCkSZOQkJCAJ0+eoH79+jA1NZUzRiIiIiLSsSInhfr6+ujSpQuuXbuGSpUqoX79+nLGRURERKQVbl4tD0lzChs2bIjExES5YiEiIiKiEiJ5n8KJEydi165dSElJQUZGhsZBREREpGsqhUJnR3kiaaFJ165dAQA9evSA4pVfnBACCoUCubm50qIjIiIiomIhKSk8cOCAXHEQERERFQlXH8tDUlLYtm3bAs9dvnxZStNEREREVIwkzSn8t8ePHyM8PBzNmjWDm5ubnE0TERER5Uulw6M8kSUpPHz4MPz8/GBjY4O5c+eiQ4cOOHHihBxNExEREb2WSqG7ozzRevg4PT0dFhYW6tepqamIiIjAypUrkZGRgb59+yIrKwuRkZHcs5CIiIiojNG6p/D9999HZmYmAKB79+6oV68eLl68iAULFuDOnTtYvHixzoIkIiIiKgiffSwPrZPC8ePHY/ny5QCA3377DUOGDMHMmTPRrVs36Ovr6yxAIiIiItI9rZNCX19fjB07FgAQExODx48fw8PDA56envjuu+/w4MEDnQVJREREVBChw6M8KdRCEwMDAwBA8+bN8f333yMlJQUjRozAxo0bYWtrC5VKhaioKDx+/FgnwRIRERGRbkhafVyxYkUMHjwYMTExuHTpEiZMmIDZs2ejevXq6NGjh1wxEhERERWIq4/lIds+hfXq1cOcOXPw119/YcOGDXI1S0RERETFQNITTfKjr68PHx8f+Pj4yN00ERERUR7lbZNpXZH1iSZEREREVDbJ3lNIREREVJzK2yphXWFSSERERGVaeVsQoiscPiYiIiIi9hQSERFR2caFJvJgTyERERERMSkkIiKisk2lw6MolixZgjp16sDIyAienp44depUgXVzcnIwa9YsODo6wsjICG5ubtizZ49GnTp16kChUOQ5AgIC1HXatWuX5/zIkSMLFTeTQiIiIiKZbNq0CUFBQZg+fTrOnTsHNzc3eHl54d69e/nWDwkJwYoVK7B48WJcvXoVI0eORK9evXD+/Hl1ndOnTyMlJUV9REVFAQA+/PBDjbaGDRumUW/OnDmFip1JIREREZVpQqG7o7DCwsIwbNgw+Pv7o379+li+fDlMTEywatWqfOuvWbMGn3/+Obp27QoHBweMGjUKXbt2xbx589R1qlWrBmtra/Wxa9cuODo6om3bthptmZiYaNQzNzcvVOxMComIiIgKkJWVhYyMDI0jKysr37rZ2dk4e/YsOnXqpC7T09NDp06dcPz48QLbNzIy0igzNjZGTExMgfdYu3YtBg8eDIVCM2tdt24dqlatioYNGyI4OBhPnz4tzFtlUkhERERlmy7nFIaGhsLCwkLjCA0NzTeOBw8eIDc3F1ZWVhrlVlZWSE1NzfcaLy8vhIWFIT4+HiqVClFRUdi2bRtSUlLyrR8ZGYm0tDR88sknGuUDBgzA2rVrceDAAQQHB2PNmjUYOHDga35reXFLGiIiIirTdLklTXBwMIKCgjTKlEqlbO0vXLgQw4YNg7OzMxQKBRwdHeHv71/gcPPKlSvh7e0NW1tbjfLhw4erf27UqBFsbGzQsWNH3Lx5E46OjlrFwp5CIiIiogIolUqYm5trHAUlhVWrVoW+vj7u3r2rUX737l1YW1vne021atUQGRmJzMxM3Lp1C3FxcTA1NYWDg0Oeurdu3cK+ffswdOjQN8bt6ekJAEhISHhj3ZeYFBIREVGZJnR4FIahoSE8PDwQHR2tLlOpVIiOjkaLFi1ee62RkRFq1KiB58+fY+vWrejZs2eeOqtXr0b16tXRrVu3N8YSGxsLALCxsdE6fg4fExEREckkKCgIfn5+aNKkCZo1a4YFCxYgMzMT/v7+AIBBgwahRo0a6nmJJ0+exO3bt+Hu7o7bt29jxowZUKlUmDx5ska7KpUKq1evhp+fHypU0Ezfbt68ifXr16Nr166wtLTExYsXERgYiDZt2sDV1VXr2JkUEhERUZmmKsLWMbri6+uL+/fvY9q0aUhNTYW7uzv27NmjXnySnJwMPb3/DdQ+e/YMISEhSExMhKmpKbp27Yo1a9agUqVKGu3u27cPycnJGDx4cJ57GhoaYt++feoEtFatWujTpw9CQkIKFbtCCFHY3lGdOl2jV0mHQERU6ikUpeqfbiI0+SuyxO69sHbhVtkWxrjktTpru7RhTyERERGVabpcfVyecKEJEREREbGnkIiIiMo29hTKg0khERERlWmcYSsPDh8TEREREXsKiYiIqGwrTVvSlGWSewoPHTqE7t27w8nJCU5OTujRoweOHDkiR2xEREREVEwkJYVr165Fp06dYGJigrFjx2Ls2LEwNjZGx44dsX79erliJCIiIiqQSodHeSJp82oXFxcMHz4cgYGBGuVhYWH4/vvvce3atUK3yc2riYjejJtXU2lTkptXz7bT3ebVU26Vn82rJfUUJiYmonv37nnKe/TogaSkJClNExEREWlF6PAoTyQlhbVq1UJ0dHSe8n379qFWrVpSmiYiIiKiYiRp9fGECRMwduxYxMbGomXLlgCAo0ePIiIiAgsXLpQlQCIiIqLXUZW7Pj3dkJQUjho1CtbW1pg3bx42b94M4MU8w02bNqFnz56yBEhUGnD+FpU2QnAPDqKXytuCEF2RvE9hr1690KsXF4cQERERlWXcvJqIiIjKNI7lyKPQSWHlypWhUGg3bPHo0aNCB0RERERExa/QSeGCBQt0EAYRERFR0XBOoTwKnRT6+fnpIg4iIiIiKkGS5hQmJye/9nzt2rWlNE9ERET0RiouxpeFpKSwTp06r51fmJubK6V5IiIiIiomkpLC8+fPa7zOycnB+fPnERYWhq+//lpSYERERETa4ObV8pCUFLq5ueUpa9KkCWxtbfHtt9+id+/eUponIiIieiOmhPKQ9OzjgtSrVw+nT5/WRdNEREREpAOSegozMjI0XgshkJKSghkzZqBu3bqSAiMiIiLSBrekkYekpLBSpUp5FpoIIVCrVi1s3LhRUmBEREREVHwkJYUHDhzQeK2np4dq1arByckJFSrwCXpERESke1xoIg9JmVvbtm3lioOIiIiISpCkpHDHjh35lisUChgZGcHJyQn29vZSbkFERET0WuwnlIekpNDHxwcKhQJCaH4cL8sUCgVat26NyMhIVK5cWVKgRERERKQ7krakiYqKQtOmTREVFYX09HSkp6cjKioKnp6e2LVrFw4fPoyHDx9i4sSJcsVLREREpEGlw6M8kdRTOG7cOISHh6Nly5bqso4dO8LIyAjDhw/HlStXsGDBAgwePFhyoERERET54UITeUjqKbx58ybMzc3zlJubmyMxMREAULduXTx48EDKbYiIiIhIxyQlhR4eHpg0aRLu37+vLrt//z4mT56Mpk2bAgDi4+NRq1YtaVESERERFUDo8ChPJA0fr1y5Ej179kTNmjXVid+ff/4JBwcH/PLLLwCAJ0+eICQkRHqkRERERKQzkpLCevXq4erVq/j9999x48YNdVnnzp2hp/eiE9LHx0dykEREREQFKW8LQnRF8mNH9PT08P777+P999+XIx4iIiIiKgGSk8Lo6GhER0fj3r17UKk0c/VVq1ZJbZ6IiIjotUS5m/2nG5KSwpkzZ2LWrFlo0qQJbGxsoFAo5IqLiIiIiIqRpKRw+fLliIiIwMcffyxXPERERESFwjmF8pCUFGZnZ2tsXE1ERERU3Lh5tTwk7VM4dOhQrF+/Xq5YiIiIiKiESOopfPbsGcLDw7Fv3z64urrCwMBA43xYWJik4IiIiIjehP2E8pCUFF68eBHu7u4AgMuXL8sRDxERERGVAElJ4YEDB+SKg4iIiKhIOKdQHpLmFOZHCIHffvsN//nPf+RumoiIiIh0RLakMCkpCVOnTkXt2rXRq1cvPHv2TK6miYiIiAqk0uFRnhQqKUxPT9d4nZWVhXXr1qFDhw6oV68evvnmGwQFBeHevXvYtWuXrIESERERlQVLlixBnTp1YGRkBE9PT5w6darAujk5OZg1axYcHR1hZGQENzc37NmzR6POjBkzoFAoNA5nZ2eNOs+ePUNAQAAsLS1hamqKPn364O7du4WKW6uk8NmzZxg9ejQ2bNgAADh79ixGjx4Na2trLFiwAD4+Pvjzzz+hp6cHLy8vmJubFyoIIiIioqISOvxfYW3atAlBQUGYPn06zp07Bzc3N3h5eeHevXv51g8JCcGKFSuwePFiXL16FSNHjkSvXr1w/vx5jXoNGjRASkqK+oiJidE4HxgYiJ07d2LLli04dOgQ7ty5g969excqdq2Swrlz56Jy5coYOXIkAMDT0xNKpRInTpzA6dOnMXbsWFhZWRXqxkRERERyKE3Dx2FhYRg2bBj8/f1Rv359LF++HCYmJli1alW+9desWYPPP/8cXbt2hYODA0aNGoWuXbti3rx5GvUqVKgAa2tr9VG1alX1ufT0dKxcuRJhYWHo0KEDPDw8sHr1ahw7dgwnTpzQOnatkkIPDw/s2LED169fBwB07NgRK1euxKxZs7Bnzx4IwVU/RERE9PbJyspCRkaGxpGVlZVv3ezsbJw9exadOnVSl+np6aFTp044fvx4ge0bGRlplBkbG+fpCYyPj4etrS0cHBzw0UcfITk5WX3u7NmzyMnJ0bivs7MzateuXeB986NVUujt7Y1t27bhypUrAIC9e/fiypUrqFevHkaNGgUbGxuMGzcOAKBQKLS+OREREZFUuhw+Dg0NhYWFhcYRGhqabxwPHjxAbm5untFTKysrpKam5nuNl5cXwsLCEB8fD5VKhaioKGzbtg0pKSnqOp6enoiIiMCePXuwbNkyJCUl4b333sPjx48BAKmpqTA0NESlSpW0vm9+tF5oUrduXY2x6Vq1amHatGlISkrCmjVrcP/+fVSoUAE9e/bE559/jnPnzmkdBBEREVFpFBwcjPT0dI0jODhYtvYXLlyIunXrwtnZGYaGhhgzZgz8/f2hp/e/FM3b2xsffvghXF1d4eXlhV9//RVpaWnYvHmzbHEAMm1J07lzZ6xfvx537tzBp59+it9++w1NmzaVo2kiIiKi19LlnEKlUglzc3ONQ6lU5htH1apVoa+vn2fV7927d2FtbZ3vNdWqVUNkZCQyMzNx69YtxMXFwdTUFA4ODgW+30qVKuGdd95BQkICAMDa2hrZ2dlIS0vT+r75kXXz6sqVK+PTTz/F+fPncfr0aTmbJiIiIirVDA0N4eHhgejoaHWZSqVCdHQ0WrRo8dprjYyMUKNGDTx//hxbt25Fz549C6z75MkT3Lx5EzY2NgBerP0wMDDQuO/169eRnJz8xvu+StJj7l6ncePGumqaiIiISE1Viha8BgUFwc/PD02aNEGzZs2wYMECZGZmwt/fHwAwaNAg1KhRQz0v8eTJk7h9+zbc3d1x+/ZtzJgxAyqVCpMnT1a3OXHiRHTv3h12dna4c+cOpk+fDn19ffTv3x8AYGFhgSFDhiAoKAhVqlSBubk5Pv30U7Ro0QLNmzfXOnadJYVERERE5Y2vry/u37+PadOmITU1Fe7u7tizZ4968UlycrLGfMFnz54hJCQEiYmJMDU1RdeuXbFmzRqNRSN//fUX+vfvj4cPH6JatWpo3bo1Tpw4gWrVqqnrzJ8/H3p6eujTpw+ysrLg5eWFpUuXFip2hShl+8mcrtGrpEMgykOhKFX/NyGCENzpgUqXpre3l9i9B9oVbpPmwlh7a5vO2i5titxTKITAn3/+ierVq+fZX4eIiIiouKiK8OQRyqvIC02EEHBycsKff/4pZzxEREREVAKKnBTq6emhbt26ePjwoZzxEBERERVKaXr2cVkmaUua2bNnY9KkSbh8+bJc8RARERFRCZC0+njQoEF4+vQp3NzcYGhoCGNjY43zjx49khQcERER0ZuoSjqAt4SkpHDBggUyhUFEREREJUlSUujn5ydXHERERERFwtXH8pC8eXVubi4iIyNx7do1AECDBg3Qo0cP6OvrSw6OiIiIiIqHpKQwISEBXbt2xe3bt1GvXj0AQGhoKGrVqoXdu3fD0dFRliCJiIiIClLeVgnriqTVx2PHjoWjoyP+/PNPnDt3DufOnUNycjLs7e0xduxYuWIkIiIiIh2T1FN46NAhnDhxAlWqVFGXWVpaYvbs2WjVqpXk4IiIiIjehKuP5SEpKVQqlXj8+HGe8idPnsDQ0FBK00RERERaEYLDx3KQNHz8wQcfYPjw4Th58iSEEBBC4MSJExg5ciR69OghV4xEREREpGOSksJFixbB0dERLVq0gJGREYyMjNCqVSs4OTlh4cKFcsVIREREVCAVhM6O8kTS8HGlSpXwyy+/ID4+HteuXYNCoYCLiwucnJzkio+IiIiIioHkfQoBoG7duupEUKFQyNEkERERkVa40EQekoaPAWDlypVo2LChevi4YcOG+OGHH+SIjYiIiIiKiaSewmnTpiEsLAyffvopWrRoAQA4fvw4AgMDkZycjFmzZskSJBEREVFBuHm1PCQlhcuWLcP333+P/v37q8t69OgBV1dXfPrpp0wKiYiIiMoISUlhTk4OmjRpkqfcw8MDz58/l9I0ERERkVbK2yphXZE0p/Djjz/GsmXL8pSHh4fjo48+ktI0ERERkVZe7pWsi6M8kbz6eOXKlfj999/RvHlzAMDJkyeRnJyMQYMGISgoSF0vLCxM6q2IiIiISEckJYWXL19G48aNAQA3b94EAFStWhVVq1bF5cuX1fW4TQ0RERHpCrekkYekpPDAgQNyxUFEREREJUiWzauJiIiISgq3pJGH5M2riYiIiKjsY0/hW8bUsz5sRvnApJEjDK2rIH5wKNL2nirpsKgcM/WsD+uRvdTfyYQhoUjbe7Kkw6Jyjv9Wvl24JY082FP4ltE3McLTq3/g1hfhJR0KEQBAz8QIT68mITlkRUmHQqTGfyuJ8mJP4Vsm/cA5pB84V9JhEKllHDiHDH4nqZThv5Vvl/K2n6CuyJIUXr16FcnJycjOztYo79GjhxzNExERERWIw8fykJQUJiYmolevXrh06RIUCoU6U3+5L2Fubq70CImIiIhI5yTNKRw3bhzs7e1x7949mJiY4MqVKzh8+DCaNGmCgwcPvvH6rKwsZGRkaBzZgokkERERaU/o8H/liaSk8Pjx45g1axaqVq0KPT096OnpoXXr1ggNDcXYsWPfeH1oaCgsLCw0jojHN6SERERERERFICkpzM3NhZmZGYAXj7e7c+cOAMDOzg7Xr19/4/XBwcFIT0/XOD4xe0dKSERERFTOqITQ2VGeSJpT2LBhQ1y4cAH29vbw9PTEnDlzYGhoiPDwcDg4OLzxeqVSCaVSqVFmqNCXElK5p2diBKW9tfq1srYVjBvUQe7fT5B950EJRkbllZ6JEZR1bNSvlbWqw7i+PXLTHvM7SSWG/1YS5aUQEtZx7927F5mZmejduzcSEhLwwQcf4MaNG7C0tMSmTZvQoUOHQrd5ukavooZDAMxaNIDzz1/lKX+weT+SAheXQERvB4WifP21KCezFg1Rb0v+38k/ghaVQERvByEUJR1CmcZ/K+XX9Pb2Erv3ezU66qztI7ejddZ2aSMpKczPo0ePULlyZfUK5MJiUkilEZNCKm2YFFJpw6Sw7JN98+oqVarI3SQRERFRgbhPoTwKnRT27t1b67rbtm0rbPNEREREhcKkUB6FXn386vYx5ubmiI6OxpkzZ9Tnz549i+joaFhYWMgaKBERERHpTqF7ClevXq3++bPPPkPfvn2xfPly6Ou/WDWcm5uL0aNHw9zcXL4oiYiIiArAZx/LQ9I+hatWrcLEiRPVCSEA6OvrIygoCKtWrZIcHBEREREVD0lJ4fPnzxEXF5enPC4uDiqVSkrTRERERFpRQejsKE8krT729/fHkCFDcPPmTTRr1gwAcPLkScyePRv+/v6yBEhEREREuicpKZw7dy6sra0xb948pKSkAABsbGwwadIkTJgwQZYAiYiIiF5HlLMePV2RbfPqjIwMAJC8wISbV1NpxM2rqbTh5tVU2pTk5tVNbdvorO3Tdw7rrO3SRrbNq7namIiIiEoCVx/LQ9JCEwD4+eef0bdvXzRv3hyNGzfWOIiIiIh0rbQtNFmyZAnq1KkDIyMjeHp64tSpUwXWzcnJwaxZs+Do6AgjIyO4ublhz549GnVCQ0PRtGlTmJmZoXr16vDx8cH169c16rRr1w4KhULjGDlyZKHilpQULlq0CP7+/rCyssL58+fRrFkzWFpaIjExEd7e3lKaJiIiIipzNm3ahKCgIEyfPh3nzp2Dm5sbvLy8cO/evXzrh4SEYMWKFVi8eDGuXr2KkSNHolevXjh//ry6zqFDhxAQEIATJ04gKioKOTk56NKlCzIzMzXaGjZsGFJSUtTHnDlzChW7pDmFzs7OmD59Ovr37w8zMzNcuHABDg4OmDZtGh49eoTvvvuu0G1yTiGVRpxTSKUN5xRSaVOScwrftW6ls7bPpx4tVH1PT080bdpUnQOpVCrUqlULn376KaZMmZKnvq2tLb744gsEBASoy/r06QNjY2OsXbs233vcv38f1atXx6FDh9CmzYv5lO3atYO7uzsWLFhQqHhfJamnMDk5GS1btgQAGBsb4/HjxwCAjz/+GBs2bJDSNBEREVGJy8rKQkZGhsaRlZWVb93s7GycPXsWnTp1Upfp6emhU6dOOH78eIHtGxkZaZQZGxsjJiamwJjS09MBAFWqVNEoX7duHapWrYqGDRsiODgYT58+1eo9qmMtVO1/sba2xqNHjwAAtWvXxokTJwAASUlJnPRJRERExUKXcwpDQ0NhYWGhcYSGhuYbx4MHD5CbmwsrKyuNcisrK6SmpuZ7jZeXF8LCwhAfHw+VSoWoqChs27ZNvdVfnveqUmH8+PFo1aoVGjZsqC4fMGAA1q5diwMHDiA4OBhr1qzBwIEDC/V7lLT6uEOHDtixYwfeffdd+Pv7IzAwED///DPOnDmD3r17S2maiIiIqMQFBwcjKChIo0ypVMrW/sKFCzFs2DA4OztDoVDA0dER/v7+BT4uOCAgAJcvX87Tkzh8+HD1z40aNYKNjQ06duyImzdvwtHRUatYJCWF4eHh6sfZBQQEwNLSEseOHUOPHj0wYsQIKU0TERERaUWXm1crlUqtk8CqVatCX18fd+/e1Si/e/curK2t872mWrVqiIyMxLNnz/Dw4UPY2tpiypQpcHBwyFN3zJgx2LVrFw4fPoyaNWu+NhZPT08AQEJCQvEkhXp6etDT+98IdL9+/dCvXz8pTRIRERGVSYaGhvDw8EB0dDR8fHwAvBjujY6OxpgxY157rZGREWrUqIGcnBxs3boVffv2VZ8TQuDTTz/F9u3bcfDgQdjb278xltjYWAAvnjSnLUlJ4cWLF/MtVygUMDIyQu3atWXtYiUiIiL6N1UpWscQFBQEPz8/NGnSBM2aNcOCBQuQmZkJf39/AMCgQYNQo0YN9bzEkydP4vbt23B3d8ft27cxY8YMqFQqTJ48Wd1mQEAA1q9fj19++QVmZmbq+YkWFhYwNjbGzZs3sX79enTt2hWWlpa4ePEiAgMD0aZNG7i6umodu6Sk0N3dHQrF/7ZFEEJovDYwMICvry9WrFiRZ2UNERERkRxK07OPfX19cf/+fUybNg2pqalwd3fHnj171ItPkpOTNUZZnz17hpCQECQmJsLU1BRdu3bFmjVrUKlSJXWdZcuWAXix7cyrVq9ejU8++QSGhobYt2+fOgGtVasW+vTpg5CQkELFLmmfwl9++QWfffYZJk2ahGbNmgEATp06hXnz5mH69Ol4/vw5pkyZAl9fX8ydO1erNrlPIZVG3KeQShvuU0ilTUnuU9jAylNnbV+5e1JnbZc2knoKv/76ayxcuBBeXl7qskaNGqFmzZqYOnUqTp06hYoVK2LChAlaJ4VEREREhVGaho/LMkn7FF66dAl2dnZ5yu3s7HDp0iUAL4aYC9prh4iIiIhKB0lJobOzM2bPno3s7Gx1WU5ODmbPng1nZ2cAwO3bt/Ns4khEREQkF6HD/5UnkoaPlyxZgh49eqBmzZrq1S2XLl1Cbm4udu3aBQBITEzE6NGjpUdKRERERDojaaEJADx+/Bjr1q3DjRs3AAD16tXDgAEDYGZmVqT2uNCESiMuNKHShgtNqLQpyYUm71RrorO2b9w/o7O2SxtJPYUAYGZmhpEjR8oRCxERERGVkEInhTt27IC3tzcMDAywY8eO19bt0aNHkQMjIiIi0kZ5m/unK4VOCn18fJCamorq1aurH+GSH4VCgdzcXCmxEREREb0Rt6SRR6GTQpVKle/PRERERFR2FXlLmpycHHTs2BHx8fFyxkNERERUKNySRh5FTgoNDAxw8eJFOWMhIiIiohIiafPqgQMHYuXKlXLFQkRERFRoQqh0dpQnkrakef78OVatWoV9+/bBw8MDFStW1DgfFhYmKTgiIiIiKh6SksLLly+jcePGAKDevPolhYIbqxIREZHuqcrZ3D9dKXJSmJubi5kzZ6JRo0aoXLmynDERERERUTEr8pxCfX19dOnSBWlpaTKGQ0RERFQ4QgidHeWJpIUmDRs2RGJiolyxEBERERWaCkJnR3kiKSn86quvMHHiROzatQspKSnIyMjQOIiIiIiobJC00KRr164AXjzj+NWFJUIIPuaOiIiIikV5G+bVFUlJ4YEDB+SKg4iIiIhKkKSksG3btnLFQURERFQkKvYUyqJISaG2j7dzdXUtSvNEREREVMyKlBS6u7tDoVC8dgyfcwqJiIioOIhytkpYV4qUFCYlJckdBxERERGVoCIlhXZ2dnLHQURERFQkXH0sD0n7FBIRERHR20HS6mMiIiKiklbenjyiK0wKiYiIqEzj8LE8OHxMREREROwpJCIiorKNm1fLQ3JS+PPPP2Pz5s1ITk5Gdna2xrlz585JbZ6IiIiIioGk4eNFixbB398fVlZWOH/+PJo1awZLS0skJibC29tbrhiJiIiICiSE0NlRnkhKCpcuXYrw8HAsXrwYhoaGmDx5MqKiojB27Fikp6fLFSMRERER6ZikpDA5ORktW7YEABgbG+Px48cAgI8//hgbNmyQHh0RERHRG6ggdHaUJ5KSQmtrazx69AgAULt2bZw4cQLAi8fglbcuVyIiIqKyTFJS2KFDB+zYsQMA4O/vj8DAQHTu3Bm+vr7o1auXLAESERERvQ7nFMpDISS8Y5VKBZVKhQoVXixi3rhxI44dO4a6detixIgRMDQ0LHSbp2swmaTSR6EoX/8wUOknhKKkQyDS0PT29hK7t6mJvc7afvI0SWdtlzaSkkJdYFJIpRGTQiptmBRSacOksOyT/ESTI0eOYODAgWjRogVu374NAFizZg1iYmIkB0dERET0JkKH/ytPJCWFW7duhZeXF4yNjXH+/HlkZWUBANLT0/HNN9/IEiARERER6Z6kpPCrr77C8uXL8f3338PAwEBd3qpVKz7NhIiIiIqFSgidHeWJpKTw+vXraNOmTZ5yCwsLpKWlSWmaiIiIiIqR5H0KExIS8pTHxMTAwcFBStNEREREWuGWNPKQlBQOGzYM48aNw8mTJ6FQKHDnzh2sW7cOEydOxKhRo+SKkYiIiIh0rIKUi6dMmQKVSoWOHTvi6dOnaNOmDZRKJSZOnIhPP/1UrhiJiIiIClTeVgnrSpH3KczNzcXRo0fh6uoKExMTJCQk4MmTJ6hfvz5MTU2LHBD3KaTSiPsUUmnDfQqptCnJfQoNlTV11nZ21l86a7u0KXJPob6+Prp06YJr166hUqVKqF+/vpxxEREREVExkjSnsGHDhkhMTJQrFiIiIqJCK20LTZYsWYI6derAyMgInp6eOHXqVIF1c3JyMGvWLDg6OsLIyAhubm7Ys2dPodt89uwZAgICYGlpCVNTU/Tp0wd3794tVNyS9ymcOHEidu3ahZSUFGRkZGgcREREROXJpk2bEBQUhOnTp+PcuXNwc3ODl5cX7t27l2/9kJAQrFixAosXL8bVq1cxcuRI9OrVC+fPny9Um4GBgdi5cye2bNmCQ4cO4c6dO+jdu3ehYpf07GM9vf/llArF/+a3CCGgUCiQm5tb6DY5p5BKI84ppNKGcwqptCnJOYUVDGvorO3n2bcLVd/T0xNNmzbFd999BwBQqVSoVasWPv30U0yZMiVPfVtbW3zxxRcICAhQl/Xp0wfGxsZYu3atVm2mp6ejWrVqWL9+Pf7zn/8AAOLi4uDi4oLjx4+jefPmWsUuafXxgQMHpFxOREREVKplZWWpH+P7klKphFKpzFM3OzsbZ8+eRXBwsLpMT08PnTp1wvHjxwts38jISKPM2NgYMTExWrd59uxZ5OTkoFOnTuo6zs7OqF27dvElhW3bti3w3OXLl4vUZkn+pfE2ycrKQmhoKIKDg/P94hIVN34nqTTi9/LtUNjevMKYMWMGZs6cqVE2ffp0zJgxI0/dBw8eIDc3F1ZWVhrlVlZWiIuLy7d9Ly8vhIWFoU2bNnB0dER0dDS2bdumHm3Vps3U1FQYGhqiUqVKeeqkpqZq/V4lzSn8t8ePHyM8PBzNmjWDm5ubnE1TIWVlZWHmzJl5/rohKin8TlJpxO8lvUlwcDDS09M1jld77aRauHAh6tatC2dnZxgaGmLMmDHw9/fXmKJXXGS54+HDh+Hn5wcbGxvMnTsXHTp0wIkTJ+RomoiIiKjEKJVKmJubaxwF9SpXrVoV+vr6eVb93r17F9bW1vleU61aNURGRiIzMxO3bt1CXFwcTE1N1Y8L1qZNa2trZGdnIy0tTev75kfrpDA9PV3jdWpqKmbPno26deviww8/hLm5ObKyshAZGYnZs2ejadOmWgdBREREVNYZGhrCw8MD0dHR6jKVSoXo6Gi0aNHitdcaGRmhRo0aeP78ObZu3YqePXtq3aaHhwcMDAw06ly/fh3JyclvvO+rtE4K33//fWRmZgIAunfvjnr16uHixYtYsGAB7ty5g8WLF2t9UyIiIqK3UVBQEL7//nv8+OOPuHbtGkaNGoXMzEz4+/sDAAYNGqQx/Hzy5Els27YNiYmJOHLkCN5//32oVCpMnjxZ6zYtLCwwZMgQBAUF4cCBAzh79iz8/f3RokULrReZAIVYaDJ+/HgsX74cEyZMwG+//YaxY8di1KhRqFu3rtY3o+KjVCoxffp0TpymUoPfSSqN+L0kufn6+uL+/fuYNm0aUlNT4e7ujj179qgXiiQnJ2vMF3z27BlCQkKQmJgIU1NTdO3aFWvWrNFYNPKmNgFg/vz50NPTQ58+fZCVlQUvLy8sXbq0ULEXap/CnJwcGBgY4MSJE1i5ciU2bdoEFxcXfPzxx+jXrx9sbGxw4cIFPvKOiIiIqIyRtHl1ZmYmNm3ahFWrVuHUqVPIzc1FWFgYBg8eDDMzMznjJCIiIiIdkpQUvur69etYuXIl1qxZg7S0NHTu3Bk7duyQo2kiIiIi0jHZksKXcnNzsXPnTqxatYpJIREREVEZIfvOiPr6+vDx8WFCKDOFQoHIyMhydf+0tDQ4OzujVatWuHPnDlxcXIr1/mXNpk2b4Onpib///rukQyEiGf3222/48ssv8c8//5R0KPSWK/7tsovZJ598Ah8fnzzlBw8ehEKhyLPR49vqjz/+gEKhQGxsbJGuT0lJgbe3t7xBvcGxY8fQrl07DB8+HG3btkXv3r2L9f5lSXZ2NpKTkxEVFYXKlSuXdDhUTPiHwNvvxo0bmDRpEp4+fYrAwMCSDofecpKefVzeZWdnw9DQsKTDkIUQArm5uahQQfMr8fI9FmZHdLl07doVXbt2BQD4+fkV+/3LEkNDQ0yaNKmkw5BMoVBg+/bt+f4hJ6dPPvkEaWlpJdr7LtWrfwiYm5uXdDikI5cuXcLmzZtRv359LF26FH///Tf/8COdeet7Cgtj69ataNCgAZRKJerUqYN58+ZpnK9Tpw6+/PJLDBo0CObm5hg+fDgA4LPPPsM777wDExMTODg4YOrUqcjJyVFfd+HCBbRv3x5mZmYwNzeHh4cHzpw5U2Ac8fHxaNOmDYyMjFC/fn1ERUXlqfPnn3+ib9++qFSpEqpUqYKePXvijz/+0Pq9vuwp/e233+Dh4QGlUomYmBi0a9cOY8aMwfjx41G1alV4eXkByDt8fOzYMbi7u8PIyAhNmjRBZGSkRk9kbm4uhgwZAnt7exgbG6NevXpYuHBhnjhWrVql/p3b2NhgzJgx6nNhYWFo1KgRKlasiFq1amH06NF48uSJxvVv+szKi+PHj0NfXx/dunUr0TjKYo90WfXyD4GynhAW19SUgkaNSrs+ffqot3kbPXp0iSWEERERGvvm0duJSeH/O3v2LPr27Yt+/frh0qVLmDFjBqZOnYqIiAiNenPnzoWbmxvOnz+PqVOnAgDMzMwQERGBq1evYuHChfj+++8xf/589TUfffQRatasidOnT+Ps2bOYMmUKDAwM8o1DpVKhd+/eMDQ0xMmTJ7F8+XJ89tlnGnVycnLg5eUFMzMzHDlyBEePHoWpqSnef/99ZGdnF+p9T5kyBbNnz8a1a9fg6uoKAPjxxx9haGiIo0ePYvny5XmuycjIQPfu3dGoUSOcO3cOX375ZZ4YVSoVatasiS1btuDq1auYNm0aPv/8c2zevFldZ9myZQgICMDw4cNx6dIl7NixA05OTurzenp6WLRoEa5cuYIff/wR+/fv19jhXdvPrDxYuXIlPv30Uxw+fBh37tx5bV0hBJ4/f15MkWl375ffW2tra24irCX+IVB+eHl5QV9fH6dPny7pUOhtJ95yfn5+Ql9fX1SsWFHjMDIyEgDE33//LYQQYsCAAaJz584a106aNEnUr19f/drOzk74+Pi88Z7ffvut8PDwUL82MzMTERERWsW7d+9eUaFCBXH79m112W+//SYAiO3btwshhFizZo2oV6+eUKlU6jpZWVnC2NhY7N27N992k5KSBABx/vx5IYQQBw4cEABEZGSkRr22bduKd999N8/1r95/2bJlwtLSUvzzzz/q899//71G+/kJCAgQffr0Ub+2tbUVX3zxRYH1/23Lli3C0tJS/Vqbz6w8ePz4sTA1NRVxcXHC19dXfP311xrnX37Wv/76q2jcuLEwMDAQBw4cELm5ueKbb74RderUEUZGRsLV1VVs2bJFfd3z58/F4MGD1effeecdsWDBgtfGUtD37N/3btu2rQgICBDjxo0TlpaWol27dkIIze+ZEEIcPXpUuLm5CaVSKTw8PMT27ds12tcmxufPn4vAwEBhYWEhqlSpIiZNmiQGDRokevbsqa7z22+/iVatWqnrdOvWTSQkJBTykyheQ4YMEePGjROmpqYa/17kR6VSiZycHJ3E8e/PXNt7Z2Vl6SSegvj5+Wl85qXF8+fPRW5uboHnb926JUxNTcXYsWPFyJEjizEyTatXrxYWFhYldn8qHuWip7B9+/aIjY3VOH744QeNOteuXUOrVq00ylq1aoX4+Hjk5uaqy5o0aZKn/U2bNqFVq1awtraGqakpQkJCkJycrD4fFBSEoUOHolOnTpg9ezZu3rxZYKzXrl1DrVq1YGtrqy7798OsL1y4gISEBJiZmcHU1BSmpqaoUqUKnj179tq285Pf+/Hw8HjtNdevX4erqyuMjIzUZc2aNctTb8mSJfDw8EC1atVgamqK8PBw9e/l3r17uHPnDjp27Fjgffbt24eOHTuiRo0aMDMzw8cff4yHDx/i6dOnALT/zN52mzdvhrOzM+rVq4eBAwdi1apVEPnsNPXvXuHQ0FD89NNPWL58Oa5cuYLAwEAMHDgQhw4dAqBdb6+2SrJHet68eYiIiMCqVasQExODR48eYfv27RrtZGZmIigoCGfOnEF0dDT09PTQq1cvqFSqQr/X4vDkyRNs2rQJo0aNQrdu3fL0jhc0PUSlUiE0NFQ9rcPNzQ0///yz+jptp328TmmYmpKbm4ugoCBUqlQJlpaWmDx5cp7/T+zZswetW7dW1/nggw/e+O/ny/cwZswYWFhYoGrVqpg6dapG23///TcGDRqEypUrw8TEBN7e3oiPj1effzkMu2PHDtSvXx9KpVLjvxf/tnr1anzwwQcYNWoUNmzYkGcFcrt27TB27FhMnjwZVapUgbW1NWbMmKFRJy4uDq1bt1ZPSdq3b5/G7z2/hZexsbFQKBSvnZa0bNkyODo6wtDQEPXq1cOaNWte+/ujMqCEk1KdK+ivw5c9GC97Ct99910xY8YMjTqRkZHCwMBAPH/+XAjxoqdw/vz5GnWOHTsm9PX1xVdffSVOnz4tbty4IWbNmpXnL6rr16+LsLAw0blzZ2FoaCi2bduWb7wLFiwQ9vb2GmVpaWkaPSgjR44UzZo1E/Hx8XmOtLS0fNstqAfn5ft/qW3btmLcuHF5rn/1/uPHjxft27fXOH/hwgWN9jds2CCMjIzEkiVLxLlz50R8fLwYPny4cHNzE0IIkZGRIQCI/fv3FxivUqkU48ePF8ePHxfXr18XK1euLPRnVh60bNlS3TuWk5MjqlatKg4cOKA+n1+v8LNnz4SJiYk4duyYRltDhgwR/fv3L/Be/+7t/bfS2CNtY2Mj5syZo36dk5Mjatas+dpeo/v37wsA4tKlSwXWKUkrV64UTZo0EUIIsXPnTuHo6KgxcvDy9+7q6ip+//13kZCQIB4+fCi++uor4ezsLPbs2SNu3rwpVq9eLZRKpTh48KAQQojs7Gwxbdo0cfr0aZGYmCjWrl0rTExMxKZNmwqMpaDP/N/3btu2rTA1NRWTJk0ScXFxIi4uTgih+Zmnp6eLKlWqiIEDB4orV66IX3/9Vbzzzjsa7WsT43//+19RuXJlsXXrVnH16lUxZMgQYWZmpvGZ//zzz2Lr1q0iPj5enD9/XnTv3l00atTotb12L9/DuHHjRFxcnPre4eHh6jo9evQQLi4u4vDhwyI2NlZ4eXkJJycnkZ2dLYR40eNmYGAgWrZsKY4ePSri4uJEZmZmvvdTqVTCzs5O7Nq1SwghhIeHh/jpp5/yxGRubi5mzJghbty4IX788UehUCjE77//LoR40RNZr1490blzZxEbGyuOHDkimjVrpvF7z++/B+fPnxcARFJSkjruV/+7tm3bNmFgYCCWLFkirl+/LubNmyf09fUL/DedygYmhW8YPm7QoIH6dX5J4dy5c4WDg4NG2ZAhQ17bzd6vXz/RvXv3fM+9HD6+c+eOumzPnj0a/wcODw8XlStXFunp6QXe49/kTAqXLVsmqlatKp49e6Y+/8MPP2i0P2bMGNGhQweNNjp27KhOCoUQok6dOgUOH//888/CwMBA4x/oL7/8stCf2dsuLi5OVKhQQdy9e1ddFhAQIAYOHKh+/fKz/uuvv9Rlly9fFgDyTKswMDAQzZo1U9f77rvvROPGjUXVqlXV55s2bVpgPAV9z169txAvvmdDhw7Nc31h//h4U4wv/6A6dOiQRjs+Pj4a/y7cuHFD9OvXT9jb2wszMzNRsWJFAUDs3r27wPdakviHwOtj1NUfAm3bthUuLi4aCfhnn30mXFxchBAvvkcAxNGjR9XnHzx4IIyNjcXmzZuFEC+SKwAiNja2wPu89Pvvv4tq1aqph9/nz58v2rZtmyem1q1ba5Q1bdpUfPbZZ0KIF1MjKlSoIFJSUtTno6KiJCeFLVu2FMOGDdO474cffii6du36xvdFpVe5GD7WxoQJExAdHY0vv/wSN27cwI8//ojvvvsOEydOfO11devWRXJyMjZu3IibN29i0aJFGkNT//zzD8aMGYODBw/i1q1bOHr0KE6fPl3gRsydOnXCO++8Az8/P1y4cAFHjhzBF198oVHno48+QtWqVdGzZ08cOXIESUlJOHjwIMaOHYu//vpL+i/jDQYMGACVSoXhw4fj2rVr2Lt3L+bOnQvgxVAQ8OL3cubMGezduxc3btzA1KlT80ySnjFjBubNm4dFixYhPj4e586dw+LFiwEATk5OyMnJweLFi5GYmIg1a9bkGWIs6mf2Nlm5ciWeP38OW1tbVKhQARUqVMCyZcuwdetWpKena9StWLGi+ueXq7h3796tMa3i6tWr6uHEjRs3YuLEiRgyZAh+//13xMbGwt/fv9CLmf5979eVFZZcMXbv3h2PHj3C999/j5MnT+LkyZMAUKT3qmvXr1/HqVOn0L9/fwBAhQoV4Ovri5UrV+ap++r0kISEBDx9+hSdO3dWTzsxNTXFTz/9pDFs+rppH4VRUlNT0tPTkZKSAk9PT3X9ChUq5IknPj4e/fv3h4ODA8zNzVGnTh0AeON7bd68ufrfOeDF9J6XU1auXbuGChUqaNzb0tIS9erVw7Vr19RlhoaG6mkUr7Nq1Sr4+vqqtwrr378/jh49mmeY+99t2djY4N69ewBe/E5r1aqlsa1Yfr/Twipo+s6r75PKHiaF/69x48bYvHkzNm7ciIYNG2LatGmYNWsWPvnkk9de16NHDwQGBmLMmDFwd3fHsWPH1KuSgRdPeHn48CEGDRqEd955B3379oW3tzdmzpyZb3t6enrYvn07/vnnHzRr1gxDhw7F119/rVHHxMQEhw8fRu3atdG7d2+4uLhgyJAhePbsWbFsT2Fubo6dO3ciNjYW7u7u+OKLLzBt2jQAUP9jPmLECPTu3Ru+vr7w9PTEw4cPMXr0aI12/Pz8sGDBAixduhTvvPMOOnbsqJ574+bmhrCwMPz3v/9Fw4YNsW7dOoSGhmpcX9TP7G3x/Plz/PTTT5g3b55GYnfhwgXY2tpiw4YNBV776lwmJycnjaNWrVoAgKNHj6Jly5YYPXo03n33XTg5ORV6zqoU9erVw6VLl5CVlaUu+/cfFm+K0cLCAjY2NuokD3jxezt79qz69cOHD3H9+nWEhISgY8eOcHFxKdWbQfMPgbL/h4CxsbFGYpmfl3Nfly5dqv6ca9SogefPn2PVqlUadf+9m4VCoSjUfFg9vRepgHhlbuSr26pROVLSXZX0dli7dq0wMDAQT58+LdL169evFyEhITJH9Xbbvn27MDQ0zHce6eTJk9VzzgqaKvDFF18IS0tLERERIRISEsTZs2fFokWL1CvlFy5cKMzNzcWePXvE9evXRUhIiDA3N9eYAvBvck5TeDm/bNCgQeLq1atiz549wtnZWWPoTZsYZ8+eLapUqSK2b98url27JoYNG6Yxvyw3N1dYWlqKgQMHivj4eBEdHS2aNm2aZyV0aZCTkyOsrKzEvHnzxKVLlzQOR0dHsWzZMiFE/r/3jIwMoVQq88xJe5U20z7+rTROTclv+LhWrVrqz/zBgwcCgDh8+LC6zpEjR974mbdt2zbP7gZTpkzRavj45cp+bVfxLlq0SDg6Oub5nOfNmydsbW3V86bz+7327NlT+Pn5CSH+N3ycmpqqPr9v3z6N93r16lUBQFy5ckVdJzw8vEjDx926dXvje6PSiz2FVCQ//fQTYmJikJSUhMjISHz22Wfo27cvjI2NC93WlStXIITg87ILaeXKlejUqRMsLCzynOvTpw/OnDmDixcvFnj9l19+ialTpyI0NBQuLi54//33sXv3btjb2wPQrrdXl+TqkZ4wYQI+/vhj+Pn5oUWLFjAzM0OvXr3U5/X09LBx40acPXsWDRs2RGBgIL799ttie5+FsWvXLvz9998YMmQIGjZsqHH06dMn3yHkl8zMzDBx4kQEBgbixx9/xM2bN9VTNn788UcA2k370CW5pqaMGzcOs2fPRmRkJOLi4jB69GiNlbWVK1eGpaUlwsPDkZCQgP379yMoKEirGJOTkxEUFITr169jw4YNWLx4McaNG6eOrWfPnhg2bBhiYmJw4cIFDBw4EDVq1EDPnj0L9btYuXIl/vOf/+T5nIcMGYIHDx5gz549WrXTuXNnODo6ws/PDxcvXsTRo0cREhIC4H+/05cjBDNmzEB8fDx27979xgcBTJo0CREREVi2bBni4+MRFhaGbdu2lavpO2+lks5KqWz673//K+zs7IRSqRR16tQR48ePL3AF3Zs4OjoKY2PjPPvrEf2b1B7psu6DDz4ocCL/yZMnBQBx4cKFAnvrVCqVWLBggahXr54wMDAQ1apVE15eXuqFOM+ePROffPKJsLCwEJUqVRKjRo0SU6ZMKbaeQiFe7E3p6uoqDA0NhYeHh1i/fr0AoF6trE2MOTk5Yty4ccLc3FxUqlRJBAUF5dmbMioqSri4uAilUilcXV3FwYMHteopHD16tBg5cqQwNzcXlStXFp9//rnGwpNHjx6Jjz/+WFhYWAhjY2Ph5eUlbty4oT6vTU/hmTNnBABx6tSpfM97e3uLXr16qWN6XU+hEEJcu3ZNtGrVShgaGgpnZ2exc+dOAUDs2bNHXScmJkY0atRIGBkZiffee09s2bLltT2FQgixdOlS4eDgIAwMDMQ777zz2l5oKhsUQuSzoRkRUSnw008/wcHBATVq1MCFCxcwZswYtGvXDmvXri3p0KiYrFu3Dv7+/khPTy/SSISc2rVrB3d3dyxYsKBE45Dq6NGjaN26NRISEuDo6FjS4VApUqGkAyAiKkhqaiqmTZuG1NRU2NjY4MMPP8yz8IreLv/+Q0DK1BR6Yfv27TA1NUXdunWRkJCAcePGoVWrVkwIKQ8mhURUak2ePFnjedf09uMfAvJ7/PgxPvvsMyQnJ6Nq1aro1KnTG+cMUvnE4WMiIiIi4j6FRERERMSkkIiIiIjApJCIiIiIwKSQiIiIiMCkkIiIiIjApJCIiIiIwKSQiIiIiMCkkIiIiIgA/B/fz90e8jli7gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Estatísticas descritivas\n",
    "print(df.describe())\n",
    "\n",
    "# Gráfico de dispersão\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.scatterplot(data=df, x='Horas de Irrigação', y='Área Irrigada por Ângulo')\n",
    "plt.title('Horas de Irrigação vs Área Irrigada por Ângulo')\n",
    "plt.xlabel('Horas de Irrigação')\n",
    "plt.ylabel('Área Irrigada por Ângulo')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "# Boxplots\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.boxplot(data=df, y='Horas de Irrigação')\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.boxplot(data=df, y='Área Irrigada por Ângulo')\n",
    "plt.show()\n",
    "\n",
    "# Correlações\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.heatmap(df.corr(method='pearson'), annot=True)\n",
    "plt.title('Correlação (Pearson)')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TREINAMENTO DO MODELO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A equação da reta é: y = 66.66666666666667x + 1.8189894035458565e-12\n"
     ]
    }
   ],
   "source": [
    "# Divisão dos dados em treino e teste\n",
    "X = df['Horas de Irrigação'].values.reshape(-1, 1)\n",
    "y = df['Área Irrigada por Ângulo'].values.reshape(-1, 1)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "\n",
    "# Instanciar e treinar o modelo\n",
    "reg_model = LinearRegression()\n",
    "reg_model.fit(X_train, y_train)\n",
    "\n",
    "# Imprimir a equação da reta\n",
    "coeficiente = reg_model.coef_[0][0]\n",
    "intercepto = reg_model.intercept_[0]\n",
    "print(f\"A equação da reta é: y = {coeficiente}x + {intercepto}\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VALIDAÇÃO DO MODELO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE: 6.894248829364492e-24\n",
      "MAE: 2.4310035466138894e-12\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Predição dos valores\n",
    "y_pred = reg_model.predict(X_test)\n",
    "\n",
    "# Métricas de desempenho\n",
    "mse = np.mean((y_test - y_pred)**2)\n",
    "mae = np.mean(np.abs(y_test - y_pred))\n",
    "print(f\"MSE: {mse}\")\n",
    "print(f\"MAE: {mae}\")\n",
    "\n",
    "# Análise gráfica\n",
    "plt.figure(figsize=(10, 6))\n",
    "sns.scatterplot(x=range(len(y_test)), y=y_test.flatten(), color='blue', label='Valores Reais')\n",
    "sns.scatterplot(x=range(len(y_test)), y=y_pred.flatten(), color='red', label='Valores Preditos')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Insights sobre a Análise\n",
    "\n",
    "1. **Relação Linear**: A relação entre as horas de irrigação e a área irrigada por ângulo é linear, como esperado. A equação da reta obtida reflete essa relação direta.\n",
    "\n",
    "2. **Desempenho do Modelo**: As métricas de erro (MSE e MAE) indicam que o modelo de regressão linear é adequado para prever a área irrigada por ângulo com base nas horas de irrigação.\n",
    "\n",
    "3. **Análise de Resíduos**: A análise de resíduos mostra que os resíduos são aproximadamente normais, indicando que as suposições do modelo de regressão linear são válidas.\n",
    "\n",
    "4. **Previsões**: O modelo pode ser usado para fazer previsões sobre a área irrigada por ângulo dada uma quantidade específica de horas de irrigação.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Predição de Exemplo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Para 15 horas de irrigação, a área irrigada por ângulo prevista é: 1000.0000000000019\n"
     ]
    }
   ],
   "source": [
    "# Predição de exemplo\n",
    "horas_exemplo = np.array([[15]])\n",
    "area_predita = reg_model.predict(horas_exemplo)\n",
    "print(f\"Para 15 horas de irrigação, a área irrigada por ângulo prevista é: {area_predita[0][0]}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "regressao-linear-TuR3r7e-",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}