QM-7063-Learning-Practice-2/Schrick-Noah_Learning-Practice-2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Learning Practice 2 for the University of Tulsa's QM-7063 Data Mining Course\n",
    "# Dimension Reduction\n",
    "# Professor: Dr. Abdulrashid, Spring 2023\n",
    "# Noah L. Schrick - 1492657\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.decomposition import PCA\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Read in Breakfast Cereal data\n",
    "cereals_df = pd.read_csv('Cereals.csv')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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>mean</th>\n",
       "      <th>median</th>\n",
       "      <th>min</th>\n",
       "      <th>max</th>\n",
       "      <th>sd</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>calories</th>\n",
       "      <td>106.883117</td>\n",
       "      <td>110.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>160.0</td>\n",
       "      <td>19.484119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sodium</th>\n",
       "      <td>159.675325</td>\n",
       "      <td>180.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>320.0</td>\n",
       "      <td>83.832295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>protein</th>\n",
       "      <td>2.545455</td>\n",
       "      <td>3.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>6.0</td>\n",
       "      <td>1.094790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fat</th>\n",
       "      <td>1.012987</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1.006473</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fiber</th>\n",
       "      <td>2.151948</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>14.0</td>\n",
       "      <td>2.383364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>carbo</th>\n",
       "      <td>14.802632</td>\n",
       "      <td>14.50</td>\n",
       "      <td>5.00</td>\n",
       "      <td>23.0</td>\n",
       "      <td>3.907326</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sugars</th>\n",
       "      <td>7.026316</td>\n",
       "      <td>7.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>15.0</td>\n",
       "      <td>4.378656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>potass</th>\n",
       "      <td>98.666667</td>\n",
       "      <td>90.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>330.0</td>\n",
       "      <td>70.410636</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>weight</th>\n",
       "      <td>1.029610</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.50</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.150477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cups</th>\n",
       "      <td>0.821039</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.25</td>\n",
       "      <td>1.5</td>\n",
       "      <td>0.232716</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                mean  median    min    max         sd\n",
       "calories  106.883117  110.00  50.00  160.0  19.484119\n",
       "sodium    159.675325  180.00   0.00  320.0  83.832295\n",
       "protein     2.545455    3.00   1.00    6.0   1.094790\n",
       "fat         1.012987    1.00   0.00    5.0   1.006473\n",
       "fiber       2.151948    2.00   0.00   14.0   2.383364\n",
       "carbo      14.802632   14.50   5.00   23.0   3.907326\n",
       "sugars      7.026316    7.00   0.00   15.0   4.378656\n",
       "potass     98.666667   90.00  15.00  330.0  70.410636\n",
       "weight      1.029610    1.00   0.50    1.5   0.150477\n",
       "cups        0.821039    0.75   0.25    1.5   0.232716"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## Part b: Compute mean, median, min, max, and standard deviation for quantitative variables\n",
    "quan_df = cereals_df[[\"calories\", \"sodium\", \"protein\", \"fat\", \"fiber\", \"carbo\", \"sugars\", \"potass\", \"weight\", \"cups\"]]\n",
    "pd.DataFrame({'mean': quan_df.mean(),\n",
    "'median': quan_df.median(),\n",
    "'min': quan_df.min(),\n",
    "'max': quan_df.max(),\n",
    "'sd': quan_df.std()\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BAIBfoWYDAFA+rz/jPXfuXI0ZM0Z33323JGnhwoX68MMPtWjRIk2aNMnD0cER1XmWj5tAAUD1o2YDAFA+rz7jXVRUpMzMTMXHx9umBQQEKD4+XhkZGR6MDAAA/Bo1GwCAinn1Ge8TJ06opKREUVFRdtOjoqK0b9++cp9TWFiowsJC2+PTp09Lkk6dOqXi4uIqxxR44WyV1+EqgVajc+esCiwOUImVs7q/xthUjLG5OManYoxNxUrH5uTJkwoKCqry+goKCiRJxpgqr6u6OFqz3V2vi4uLde7cOb/bX/35feivuZGX7/HX3Pw1L8mx3E6ePOmy13WkXnt14+2MmTNnavr06WWmx8bGeiAa97vN0wF4McamYozNxTE+FWNsKuaOsSkoKFBERIQb1ux5Na1eu5I/vw/9NTfy8j3+mpu/5iVVPrcGc1z/2pWp117deDdo0EC1atVSbm6u3fTc3FxFR0eX+5zJkycrJSXF9thqterUqVOqX7++LBb/+stOfn6+mjZtqu+//17h4eGeDserMDYVY2wujvGpGGNTMVePjTFGBQUFiomJcUF01cPRmu3ueu2v+6u/5iX5b27k5Xv8NTd/zUvyXG6O1GuvbryDg4PVo0cPpaena9iwYZJ+Kczp6elKTk4u9zkhISEKCQmxmxYZGenmSD0rPDzc7948rsLYVIyxuTjGp2KMTcVcOTa+dqbb0ZpdXfXaX/dXf81L8t/cyMv3+Gtu/pqX5JncKluvvbrxlqSUlBSNHj1aPXv2VO/evTVv3jydPXvWdsdUAADgHajZAACUz+sb75EjR+rHH3/Uk08+qZycHHXr1k2rV68uc/MWAADgWdRsAADK5/WNtyQlJydXeGl5TRYSEqKpU6eWuVQPjM3FMDYXx/hUjLGpGGPzf7ylZvvrNvHXvCT/zY28fI+/5uaveUm+kZvF+NJ3lQAAAAAA4GMCPB0AAAAAAAD+jMYbAAAAAAA3ovEGAAAAAMCNaLx9wJEjR3T77berfv36CgsLU+fOnbV9+3bbfGOMnnzySTVu3FhhYWGKj4/XgQMHPBhx9SgpKdGUKVMUGxursLAwtWrVSk899ZR+fduCmjQ2Gzdu1M0336yYmBhZLBa9++67dvMrMxanTp3SqFGjFB4ersjISN1zzz06c+ZMNWbhHhcbm+LiYk2cOFGdO3fWZZddppiYGN155506evSo3Tpq4tj81gMPPCCLxaJ58+bZTa/JY7N37179/ve/V0REhC677DL16tVLhw8fts0/f/68kpKSVL9+fV1++eUaMWKEcnNzqzEL/zRt2jRZLBa7n3bt2l30Oe+8847atWun0NBQde7cWatWraqmaB3TokWLMrlZLBYlJSWVu/ySJUvKLBsaGlrNUZflippUntTUVLVo0UKhoaHq06ePPv/8czdlUD5X1JPfcmZ/dodLbbO77rqrTJyDBg265Hq9eZtJKvf9ZrFY9Oyzz1a4Tm/YZjNnzlSvXr1Up04dNWrUSMOGDdP+/fvtlnGmBnn62PlSeZ06dUpjx45V27ZtFRYWpmbNmumhhx7S6dOnL7peZ/dfV6Lx9nI//fST+vXrp6CgIH300Ufas2eP5syZo7p169qWmT17tl544QUtXLhQW7du1WWXXabExESdP3/eg5G73zPPPKMFCxbon//8p/bu3atnnnlGs2fP1vz5823L1KSxOXv2rLp27arU1NRy51dmLEaNGqWvvvpKaWlp+uCDD7Rx40bdd9991ZWC21xsbM6dO6cdO3ZoypQp2rFjh5YvX679+/fr97//vd1yNXFsfm3FihXasmWLYmJiysyrqWPzzTff6Oqrr1a7du20fv167d69W1OmTLFreiZMmKD3339f77zzjjZs2KCjR49q+PDh1ZWCX+vYsaOOHTtm+9m0aVOFy3722We69dZbdc8992jnzp0aNmyYhg0bpqysrGqMuHK2bdtml1daWpok6Y9//GOFzwkPD7d7znfffVdd4VbIFTXpt9566y2lpKRo6tSp2rFjh7p27arExEQdP37cXWmU4Yp6Uh5H9md3qUw9GDRokF2cb7755kXX6e3bTJJdPseOHdOiRYtksVg0YsSIi67X09tsw4YNSkpK0pYtW5SWlqbi4mIlJCTo7NmztmWcqUGePna+VF5Hjx7V0aNH9Y9//ENZWVlasmSJVq9erXvuueeS63Z0/3U5A682ceJEc/XVV1c432q1mujoaPPss8/apuXl5ZmQkBDz5ptvVkeIHjNkyBDz5z//2W7a8OHDzahRo4wxNXtsJJkVK1bYHldmLPbs2WMkmW3bttmW+eijj4zFYjFHjhypttjd7bdjU57PP//cSDLfffedMYax+eGHH8wVV1xhsrKyTPPmzc1zzz1nm1eTx2bkyJHm9ttvr/A5eXl5JigoyLzzzju2aXv37jWSTEZGhrtCrRGmTp1qunbtWunl//SnP5khQ4bYTevTp4+5//77XRyZ640bN860atXKWK3WcucvXrzYREREVG9QDnKmJpWnd+/eJikpyfa4pKTExMTEmJkzZ7ol7ktxpp6Ux9H9uTqUl9vo0aPN0KFDHVqPL26zoUOHmv79+190GW/cZsePHzeSzIYNG4wxztUgbzx2/m1e5Xn77bdNcHCwKS4urnAZZ/ZfV+OMt5dbuXKlevbsqT/+8Y9q1KiRunfvrldeecU2Pzs7Wzk5OYqPj7dNi4iIUJ8+fZSRkeGJkKtN3759lZ6erq+//lqS9MUXX2jTpk0aPHiwpJo9Nr9VmbHIyMhQZGSkevbsaVsmPj5eAQEB2rp1a7XH7EmnT5+WxWJRZGSkpJo9NlarVXfccYceeeQRdezYscz8mjo2VqtVH374odq0aaPExEQ1atRIffr0sbuEMTMzU8XFxXbvu3bt2qlZs2Y17neQOxw4cEAxMTFq2bKlRo0aZXeJ/29lZGTYbQdJSkxM9PrtUFRUpH//+9/685//LIvFUuFyZ86cUfPmzdW0aVMNHTpUX331VTVG6Thn6nNRUZEyMzPtnhMQEKD4+Hiv3o6/rScVcWR/9qT169erUaNGatu2rR588EGdPHmywmV9cZvl5ubqww8/rNTZU2/bZqWXWterV0+SczXIG4+df5tXRcuEh4crMDDwoutyZP91BxpvL/ftt99qwYIFat26tdasWaMHH3xQDz30kF5//XVJUk5OjiQpKirK7nlRUVG2ef5q0qRJuuWWW9SuXTsFBQWpe/fuGj9+vEaNGiWpZo/Nb1VmLHJyctSoUSO7+YGBgapXr16NGq/z589r4sSJuvXWWxUeHi6pZo/NM888o8DAQD300EPlzq+pY3P8+HGdOXNGs2bN0qBBg/Txxx/rD3/4g4YPH64NGzZI+mVsgoODyxxw18TfQa7Wp08f2+WFCxYsUHZ2tq655hoVFBSUu3xOTo5P1oJ3331XeXl5uuuuuypcpm3btlq0aJHee+89/fvf/5bValXfvn31ww8/VF+gDnKmPp84cUIlJSU+tR3LqyflcXR/9pRBgwbpX//6l9LT0/XMM89ow4YNGjx4sEpKSspd3he32euvv646depc8nJsb9tmVqtV48ePV79+/dSpUydJztUgbzt2Li+v3zpx4oSeeuqpS37EzdH91x0u/mcBeJzValXPnj319NNPS5K6d++urKwsLVy4UKNHj/ZwdJ719ttv64033tDSpUvVsWNH7dq1S+PHj1dMTEyNHxs4p7i4WH/6059kjNGCBQs8HY7HZWZm6vnnn9eOHTsueratJrJarZKkoUOHasKECZKkbt266bPPPtPChQt13XXXeTI8v1d6ZZMkdenSRX369FHz5s319ttvV+pMla947bXXNHjw4HLvrVAqLi5OcXFxtsd9+/ZV+/bt9dJLL+mpp56qjjBRDkfqia/sz7fccovt/507d1aXLl3UqlUrrV+/XgMGDPBgZK6zaNEijRo16pI3KPS2bZaUlKSsrCyP3BvAnS6VV35+voYMGaIOHTpo2rRpF12XN+y/nPH2co0bN1aHDh3sprVv3952OUt0dLQklblDYW5urm2ev3rkkUdsZ707d+6sO+64QxMmTNDMmTMl1eyx+a3KjEV0dHSZm51cuHBBp06dqhHjVXqQ9N133yktLc3u7ERNHZtPP/1Ux48fV7NmzRQYGKjAwEB99913evjhh9WiRQtJNXdsGjRooMDAwEv+fi4qKlJeXp7dMjXxd5C7RUZGqk2bNjp48GC586Ojo32uFnz33Xdau3at7r33XoeeV3oFWEVj4Q2cqc8NGjRQrVq1fGI7XqyeVMal9mdv0bJlSzVo0KDCOH1pm0m/1Lz9+/c7/J6TPLvNkpOT9cEHH+iTTz5RkyZNbNOdqUHedOxcUV6lCgoKNGjQINWpU0crVqxQUFCQQ+u/1P7rDjTeXq5fv35lvhrg66+/VvPmzSVJsbGxio6OVnp6um1+fn6+tm7davcXcH907tw5BQTY78K1atWynYmqyWPzW5UZi7i4OOXl5SkzM9O2zLp162S1WtWnT59qj7k6lR4kHThwQGvXrlX9+vXt5tfUsbnjjju0e/du7dq1y/YTExOjRx55RGvWrJFUc8cmODhYvXr1uujv5x49eigoKMjufbd//34dPny4xv0OcrczZ87om2++UePGjcudHxcXZ7cdJCktLc2rt8PixYvVqFEjDRkyxKHnlZSU6Msvv6xwLLyBM/U5ODhYPXr0sHuO1WpVenq6V23HS9WTyrjU/uwtfvjhB508ebLCOH1lm5V67bXX1KNHD3Xt2tXh53pimxljlJycrBUrVmjdunWKjY21m+9MDfKGY+dL5VUaU0JCgoKDg7Vy5UqnvkLxUvuvW3j01m64pM8//9wEBgaav//97+bAgQPmjTfeMLVr1zb//ve/bcvMmjXLREZGmvfee8/s3r3bDB061MTGxpqff/7Zg5G73+jRo80VV1xhPvjgA5OdnW2WL19uGjRoYB599FHbMjVpbAoKCszOnTvNzp07jSQzd+5cs3PnTtudVCszFoMGDTLdu3c3W7duNZs2bTKtW7c2t956q6dScpmLjU1RUZH5/e9/b5o0aWJ27dpljh07ZvspLCy0raMmjk15fntXc2Nq7tgsX77cBAUFmZdfftkcOHDAzJ8/39SqVct8+umntnU88MADplmzZmbdunVm+/btJi4uzsTFxXkqJb/x8MMPm/Xr15vs7GyzefNmEx8fbxo0aGCOHz9ujDHmjjvuMJMmTbItv3nzZhMYGGj+8Y9/mL1795qpU6eaoKAg8+WXX3oqhYsqKSkxzZo1MxMnTiwz77e5TZ8+3axZs8Z88803JjMz09xyyy0mNDTUfPXVV9UZchmuqEn9+/c38+fPtz1etmyZCQkJMUuWLDF79uwx9913n4mMjDQ5OTlekVdl68lv87rU/uwNuRUUFJi//vWvJiMjw2RnZ5u1a9eaq666yrRu3dqcP3++wty8fZuVOn36tKldu7ZZsGBBuevwxm324IMPmoiICLN+/Xq7fe3cuXO2ZSpTg9q2bWuWL19ue+zpY+dL5XX69GnTp08f07lzZ3Pw4EG7ZS5cuFBuXpXdf92NxtsHvP/++6ZTp04mJCTEtGvXzrz88st2861Wq5kyZYqJiooyISEhZsCAAWb//v0eirb65Ofnm3HjxplmzZqZ0NBQ07JlS/P444/bFbeaNDaffPKJkVTmZ/To0caYyo3FyZMnza233mouv/xyEx4ebu6++25TUFDggWxc62Jjk52dXe48SeaTTz6xraMmjk15ymu8a/LYvPbaa+bKK680oaGhpmvXrubdd9+1W8fPP/9s/vKXv5i6deua2rVrmz/84Q/m2LFj1ZyJ/xk5cqRp3LixCQ4ONldccYUZOXKkOXjwoG3+ddddV2Yffvvtt02bNm1McHCw6dixo/nwww+rOerKW7NmjZFUbr36bW7jx483zZo1M8HBwSYqKsrceOONZseOHdUYbflcUZOaN29upk6dajdt/vz5tnx79+5ttmzZUk0Z/cIV9eS3eV1qf/aG3M6dO2cSEhJMw4YNTVBQkGnevLkZM2ZMmQba17ZZqZdeesmEhYWZvLy8ctfhjduson1t8eLFtmUqU4N++xxPHztfKq+Ktqckk52dXW5eld1/3c3y/wMDAAAAAABuwGe8AQAAAABwIxpvAAAAAADciMYbAAAAAAA3ovEGAAAAAMCNaLwBAAAAAHAjGm8AAAAAANyIxhsAAAAAADei8QYAAAAAwI1ovAGUMW3aNHXr1q3K61myZIkiIyOrvB4AAOA6119/vcaPH+/pMIAahcYbgNuMHDlSX3/9tafDAAAAADwq0NMBAPBPxcXFCgsLU1hYmKdDAQAAkoqKihQcHOzpMIAaiTPegJ+yWq2aPXu2rrzySoWEhKhZs2b6+9//LkmaOHGi2rRpo9q1a6tly5aaMmWKiouLL7quGTNmqEmTJgoJCVG3bt20evVq2/xDhw7JYrHorbfe0nXXXafQ0FC98cYb5V5q/t577+mqq65SaGioWrZsqenTp+vChQuSJGOMpk2bpmbNmikkJEQxMTF66KGHXD84AAD4iKrU89KPjr366quKjY1VaGiobd6FCxeUnJysiIgINWjQQFOmTJExxjb/p59+0p133qm6deuqdu3aGjx4sA4cOFB9iQN+hjPegJ+aPHmyXnnlFT333HO6+uqrdezYMe3bt0+SVKdOHS1ZskQxMTH68ssvNWbMGNWpU0ePPvpouet6/vnnNWfOHL300kvq3r27Fi1apN///vf66quv1Lp1a9tykyZN0pw5c9S9e3eFhoZqzZo1duv59NNPdeedd+qFF17QNddco2+++Ub33XefJGnq1Kn673//q+eee07Lli1Tx44dlZOToy+++MJNIwQAgPeraj0/ePCg/vvf/2r58uWqVauWbfrrr7+ue+65R59//rm2b9+u++67T82aNdOYMWMkSXfddZcOHDiglStXKjw8XBMnTtSNN96oPXv2KCgoqHoHAfAHBoDfyc/PNyEhIeaVV16p1PLPPvus6dGjh+3x1KlTTdeuXW2PY2JizN///ne75/Tq1cv85S9/McYYk52dbSSZefPm2S2zePFiExERYXs8YMAA8/TTT9st87//+7+mcePGxhhj5syZY9q0aWOKiooqFTcAAP7MFfU8KCjIHD9+3G656667zrRv395YrVbbtIkTJ5r27dsbY4z5+uuvjSSzefNm2/wTJ06YsLAw8/bbb1clJaDG4ow34If27t2rwsJCDRgwoNz5b731ll544QV98803OnPmjC5cuKDw8PByl83Pz9fRo0fVr18/u+n9+vUrcza6Z8+eF43riy++0ObNm22XyElSSUmJzp8/r3PnzumPf/yj5s2bp5YtW2rQoEG68cYbdfPNNyswkF9VAICaxxX1vHnz5mrYsGGZ5/7ud7+TxWKxPY6Li9OcOXNUUlKivXv3KjAwUH369LHNr1+/vtq2bau9e/e6KDugZuEz3oAfutgNzTIyMjRq1CjdeOON+uCDD7Rz5049/vjjKioqqvLrXnbZZRedf+bMGU2fPl27du2y/Xz55Zc6cOCAQkND1bRpU+3fv18vvviiwsLC9Je//EXXXnvtRT9/DgCAv3JFPb9UbQZQPWi8AT/UunVrhYWFKT09vcy8zz77TM2bN9fjjz+unj17qnXr1vruu+8qXFd4eLhiYmK0efNmu+mbN29Whw4dHIrrqquu0v79+3XllVeW+QkI+OXXUVhYmG6++Wa98MILWr9+vTIyMvTll1869DoAAPgDV9bz39q6davd4y1btqh169aqVauW2rdvrwsXLtgtc/LkSe3fv9/h2g/gF1y/Cfih0NBQTZw4UY8++qiCg4PVr18//fjjj7aboR0+fFjLli1Tr1699OGHH2rFihUXXd8jjzyiqVOnqlWrVurWrZsWL16sXbt26Y033nAorieffFI33XSTmjVrpv/5n/9RQECAvvjiC2VlZelvf/ublixZopKSEvXp00e1a9fWv//9b4WFhal58+ZVGQ4AAHySq+v5rx0+fFgpKSm6//77tWPHDs2fP19z5syR9EvDP3ToUI0ZM0YvvfSS6tSpo0mTJumKK67Q0KFD3ZUu4NdovAE/NWXKFAUGBurJJ5/U0aNH1bhxYz3wwAO65557NGHCBCUnJ6uwsFBDhgzRlClTNG3atArX9dBDD+n06dN6+OGHdfz4cXXo0EErV660u6N5ZSQmJuqDDz7QjBkz9MwzzygoKEjt2rXTvffeK0mKjIzUrFmzlJKSopKSEnXu3Fnvv/++6tevX5WhAADAZ7mynv/anXfeqZ9//lm9e/dWrVq1NG7cONs3jUjS4sWLNW7cON10000qKirStddeq1WrVnFHc8BJFmN+9YV9AAAAAADApfiMNwAAAAAAbkTjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4EY03AAAAAABuROMNAAAAAIAb0XgDAAAAAOBGNN4AAAAAALgRjTcAAAAAAG5E4w0AAAAAgBvReAMAAAAA4EY03gAAAAAAuBGNNwAAAAAAbkTjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4UaCnA3A3q9Wqo0ePqk6dOrJYLJ4OBwCASzLGqKCgQDExMQoIqBl/I6deAwB8jSP12u8b76NHj6pp06aeDgMAAId9//33atKkiafDqBbUawCAr6pMvfb7xrtOnTqSfhmM8PDwKq2ruLhYH3/8sRISEhQUFOSK8HxCTcybnMnZX5Gzb+Scn5+vpk2b2mpYTeDKei355na/GPLxfv6WE/l4N/LxDo7Ua79vvEsvVwsPD3dJ4127dm2Fh4f71A5RVTUxb3ImZ39Fzr6Vc0265NqV9Vry7e1eHvLxfv6WE/l4N/LxLpWp1zXjg2MAAAAAAHiI35/xBlAztZj04SWXCallNLu31GnaGhWWVN+ZxUOzhlTbawGAoyrz+7OqnP39y+9PAL6KM94AAAAAALgRjTcAAAAAAG5E4w0AAAAAgBvReAMAAAAA4EY03gAAAAAAuBGNNwAAAAAAbkTjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4EY03AAAAAABuROMNAAAAAIAb0XgDAAAAAOBGgZ4OAIDvajHpQ0+HAAAAAHg9zngDAAAAAOBGNN4AAAAAALgRl5oDAAAALtJp2hoVllg8HUYZh2YN8XQIcAP2N9/hVOPdsmVLbdu2TfXr17ebnpeXp6uuukrffvutS4IDUH2fow6pZTS7t/f+AgfgOFfW640bN+rZZ59VZmamjh07phUrVmjYsGG2+cYYTZ06Va+88ory8vLUr18/LViwQK1bt3ZVOgAA+CynLjU/dOiQSkpKykwvLCzUkSNHqhwUAACoOlfW67Nnz6pr165KTU0td/7s2bP1wgsvaOHChdq6dasuu+wyJSYm6vz5807FDgCAP3HojPfKlStt/1+zZo0iIiJsj0tKSpSenq4WLVq4LDgAAOA4d9TrwYMHa/DgweXOM8Zo3rx5euKJJzR06FBJ0r/+9S9FRUXp3Xff1S233OJ4EgAA+BGHGu/SS8osFotGjx5tNy8oKEgtWrTQnDlzXBYcAABwXHXX6+zsbOXk5Cg+Pt42LSIiQn369FFGRka5jXdhYaEKCwttj/Pz8yVJxcXFKi4urnJMpetwxbq8QXXmE1LLuP81Aozdv5XlzduzNDZHc6oujo4d7yHvxv7mHRyJ16HG22q1SpJiY2O1bds2NWjQwLHIAACA21V3vc7JyZEkRUVF2U2PioqyzfutmTNnavr06WWmf/zxx6pdu7bLYktLS3PZurxBdeQzu7fbX8LmqZ5Wh5ZftWqVmyJxHUdzqi7Ojh3vIe/G/uZZ586dq/SyTt1cLTs725mnAQCAauTN9Xry5MlKSUmxPc7Pz1fTpk2VkJCg8PDwKq+/uLhYaWlpGjhwoIKCgqq8Pk+rznw6TVvj1vVLv5yle6qnVVO2B6jQWvkbemZNS3RjVFVTuo0czam6ODp2vIe8G/ubdyi9WqsynP46sfT0dKWnp+v48eO2v6yXWrRokbOrBQAALlQd9To6OlqSlJubq8aNG9um5+bmqlu3buU+JyQkRCEhIWWmBwUFufSgy9Xr87TqyKc6v9mi0Gpx6PV8YVs6mlN1cXbseA95N/Y3z3IkVqfuaj59+nQlJCQoPT1dJ06c0E8//WT3AwAAPK+66nVsbKyio6OVnp5um5afn6+tW7cqLi7OZa8DAICvcuqM98KFC7VkyRLdcccdro4HAAC4iCvr9ZkzZ3Tw4EHb4+zsbO3atUv16tVTs2bNNH78eP3tb39T69atFRsbqylTpigmJsbuu74BAKipnGq8i4qK1Ldv3yq/+MaNG/Xss88qMzNTx44d04oVK+wKtDFGU6dO1SuvvKK8vDz169dPCxYsUOvWrav82lXRadoar7ykQ5IOzRri6RAAAF7CVfVakrZv364bbrjB9rj089mjR4/WkiVL9Oijj+rs2bO67777lJeXp6uvvlqrV69WaGioS14fAABf5lTjfe+992rp0qWaMmVKlV787Nmz6tq1q/785z9r+PDhZebPnj1bL7zwgl5//XXbX88TExO1Z88eCjkAAJfgqnotSddff72MqfhraywWi2bMmKEZM2ZU+bUA1CwtJn3o9tcIqWU0u7fjJ9A4qQVXcarxPn/+vF5++WWtXbtWXbp0KfOh8rlz51ZqPYMHD9bgwYPLnWeM0bx58/TEE09o6NChkqR//etfioqK0rvvvlvud4ICAID/46p6DQAAqsapxnv37t22u5RmZWXZzbNYXHMJdnZ2tnJychQfH2+bFhERoT59+igjI4PGGwCAS6iOeg0AAC7Nqcb7k08+cXUcZeTk5EiSoqKi7KZHRUXZ5pWnsLBQhYWFtsel361WXFys4uLiKsVU+vyQgIovtfO0quZ4sXW6Y93eyptyDqlVPftb6X7tzfu3q3kqZ0/uV960b1cXX8zZVbFWR70GAACX5vT3eHurmTNnavr06WWmf/zxx6pdu7ZLXuOpntZLL+Qhq1atctu609LS3LZub+UNOc/uXb2v5837t7tUd87ufJ9Wljfs29XNl3I+d+6cp0MAAAAu5FTjfcMNN1z0ErV169Y5HVCp6OhoSVJubq4aN25sm56bm2u7bK48kydPtt1pVfrljHfTpk2VkJCg8PDwKsVUXFystLQ0TdkeoEKrd16ilzUt0eXrLM174MCBPvWF9lXhTTl3mramWl4nJMDoqZ5Wr96/Xc1TObvjfVpZ3rRvVxdfzLn0aq2qqo567e289ZtIuGETANQsTjXev218i4uLtWvXLmVlZWn06NGuiEuxsbGKjo5Wenq67fXy8/O1detWPfjggxU+LyQkRCEhIWWmBwUFueyAq9Bq8coiLsmtB5WuHENf4Q05V/e+5s37t7tUd86e3qdKY/CGOKqTL+Xsqjiro14DAIBLc6rxfu6558qdPm3aNJ05c6bS6zlz5owOHjxoe5ydna1du3apXr16atasmcaPH6+//e1vat26te3rxGJiYuy+6xsAAJTPVfUaAABUTYArV3b77bdr0aJFlV5++/bt6t69u7p37y5JSklJUffu3fXkk09Kkh599FGNHTtW9913n3r16qUzZ85o9erVfIc3AABV4Gi9BgAAVePSm6tlZGQ41BRff/31MqbiuwlbLBbNmDFDM2bMcEV4AABAjtdrAABQNU413sOHD7d7bIzRsWPHtH37dk2ZMsUlgQEAgKqhXgMA4B2carwjIiLsHgcEBKht27aaMWOGEhISXBIYAACoGuo1AADewanGe/Hixa6OAwAAuBj1GgAA71Clz3hnZmZq7969kqSOHTvabpIGAAC8B/UaAADPcqrxPn78uG655RatX79ekZGRkqS8vDzdcMMNWrZsmRo2bOjKGAEAgBOo1wAAeAenvk5s7NixKigo0FdffaVTp07p1KlTysrKUn5+vh566CFXxwgAAJxAvQYAwDs4dcZ79erVWrt2rdq3b2+b1qFDB6WmpnKzFgAAvAT1GgAA7+DUGW+r1aqgoKAy04OCgmS1WqscFAAAqDrqNQAA3sGpxrt///4aN26cjh49apt25MgRTZgwQQMGDHBZcAAAwHnUawAAvINTjfc///lP5efnq0WLFmrVqpVatWql2NhY5efna/78+a6OEQAAOIF6DQCAd3DqM95NmzbVjh07tHbtWu3bt0+S1L59e8XHx7s0OAAA4DzqNQAA3sGhxnvdunVKTk7Wli1bFB4eroEDB2rgwIGSpNOnT6tjx45auHChrrnmGrcECwD+oMWkDz322iG1jGb3ljpNW6PCEku5yxyaNaSao4KrUa/hrzz5+/NSSn+/eitHx64y9aIm8NZ9jv3NeZ46znHoUvN58+ZpzJgxCg8PLzMvIiJC999/v+bOneuy4AAAgOOo1wAAeBeHGu8vvvhCgwYNqnB+QkKCMjMzqxwUAABwHvUaAADv4lDjnZubW+7XkpQKDAzUjz/+WOWgAACA86jXAAB4F4ca7yuuuEJZWVkVzt+9e7caN25c5aAAAIDzqNcAAHgXh26uduONN2rKlCkaNGiQQkND7eb9/PPPmjp1qm666SaXBgj/4a03p5C4mRQA/0K9BgDAuzjUeD/xxBNavny52rRpo+TkZLVt21aStG/fPqWmpqqkpESPP/64WwIFAACVQ70GAMC7ONR4R0VF6bPPPtODDz6oyZMnyxgjSbJYLEpMTFRqaqqioqLcEigAAKgc6jUAAN7FocZbkpo3b65Vq1bpp59+0sGDB2WMUevWrVW3bl13xAcAAJxAvQYAwHs43HiXqlu3rnr16uXKWAAAXsCb78fgjJBaRrN7S52mrVFhicVtr+Ot94qgXgMA4HkO3dUcAAAAAAA4xukz3gAAAHCOo1eWVNeVGwAA9+CMNwAAAAAAbkTjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4EY03AAAAAABuROMNAAAAAIAb8XVigMp+rQtf2wIAAADAVTjjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4kU98xjs1NVXPPvuscnJy1LVrV82fP1+9e/f2dFhe6befVXYFPu8MAKgsajYAAGV5/Rnvt956SykpKZo6dap27Nihrl27KjExUcePH/d0aAAA4Feo2QAAlM/rG++5c+dqzJgxuvvuu9WhQwctXLhQtWvX1qJFizwdGgAA+BVqNgAA5fPqxruoqEiZmZmKj4+3TQsICFB8fLwyMjI8GBkAAPg1ajYAABXz6s94nzhxQiUlJYqKirKbHhUVpX379pX7nMLCQhUWFtoenz59WpJ06tQpFRcXVyme4uJinTt3ToHFASqx1pzPOgdajc6ds9aovMmZnP0VObsv55MnT7psXQUFBZIkY4zL1ulujtZsd9Zryf9qtr+9d/0tH8n/ciIf70Y+zvNUvfbqxtsZM2fO1PTp08tMj42N9UA0/uM2TwfgAeRcM5BzzVAdOTeY4/p1FhQUKCIiwvUr9gLUa8f523vX3/KR/C8n8vFu5OMcT9Vrr268GzRooFq1aik3N9duem5urqKjo8t9zuTJk5WSkmJ7bLVaderUKdWvX18WS9X+epKfn6+mTZvq+++/V3h4eJXW5UtqYt7kTM7+ipx9I2djjAoKChQTE+PpUCrN0Zrtznot+eZ2vxjy8X7+lhP5eDfy8Q6O1GuvbryDg4PVo0cPpaena9iwYZJ+Kczp6elKTk4u9zkhISEKCQmxmxYZGenSuMLDw31qh3CVmpg3OdcM5Fwz+FrOvnam29GaXR31WvK97X4p5OP9/C0n8vFu5ON5la3XXt14S1JKSopGjx6tnj17qnfv3po3b57Onj2ru+++29OhAQCAX6FmAwBQPq9vvEeOHKkff/xRTz75pHJyctStWzetXr26zM1bAACAZ1GzAQAon9c33pKUnJxc4aXl1SkkJERTp04tc2mcv6uJeZNzzUDONUNNzNmTqNnuQT7ez99yIh/vRj6+x2J86btKAAAAAADwMQGeDgAAAAAAAH9G4w0AAAAAgBvReAMAAAAA4EY03g5ITU1VixYtFBoaqj59+ujzzz/3dEguM23aNFksFrufdu3a2eafP39eSUlJql+/vi6//HKNGDFCubm5HozYcRs3btTNN9+smJgYWSwWvfvuu3bzjTF68skn1bhxY4WFhSk+Pl4HDhywW+bUqVMaNWqUwsPDFRkZqXvuuUdnzpypxiwcc6mc77rrrjLbfdCgQXbL+FrOM2fOVK9evVSnTh01atRIw4YN0/79++2Wqcz+fPjwYQ0ZMkS1a9dWo0aN9Mgjj+jChQvVmUqlVSbn66+/vsy2fuCBB+yW8aWcFyxYoC5duti+7zMuLk4fffSRbb6/bWM4xp/qdWXe375s1qxZslgsGj9+vKdDcdqRI0d0++23q379+goLC1Pnzp21fft2T4fllJKSEk2ZMkWxsbEKCwtTq1at9NRTT8mXbgnliuM9b3KxfIqLizVx4kR17txZl112mWJiYnTnnXfq6NGjngv4Ei61fX7tgQcekMVi0bx586otPnei8a6kt956SykpKZo6dap27Nihrl27KjExUcePH/d0aC7TsWNHHTt2zPazadMm27wJEybo/fff1zvvvKMNGzbo6NGjGj58uAejddzZs2fVtWtXpaamljt/9uzZeuGFF7Rw4UJt3bpVl112mRITE3X+/HnbMqNGjdJXX32ltLQ0ffDBB9q4caPuu+++6krBYZfKWZIGDRpkt93ffPNNu/m+lvOGDRuUlJSkLVu2KC0tTcXFxUpISNDZs2dty1xqfy4pKdGQIUNUVFSkzz77TK+//rqWLFmiJ5980hMpXVJlcpakMWPG2G3r2bNn2+b5Ws5NmjTRrFmzlJmZqe3bt6t///4aOnSovvrqK0n+t41Ref5Wryv7/vZF27Zt00svvaQuXbp4OhSn/fTTT+rXr5+CgoL00Ucfac+ePZozZ47q1q3r6dCc8swzz2jBggX65z//qb179+qZZ57R7NmzNX/+fE+HVmmuON7zJhfL59y5c9qxY4emTJmiHTt2aPny5dq/f79+//vfeyDSyqnMsakkrVixQlu2bFFMTEw1RVYNDCqld+/eJikpyfa4pKTExMTEmJkzZ3owKteZOnWq6dq1a7nz8vLyTFBQkHnnnXds0/bu3WskmYyMjGqK0LUkmRUrVtgeW61WEx0dbZ599lnbtLy8PBMSEmLefPNNY4wxe/bsMZLMtm3bbMt89NFHxmKxmCNHjlRb7M76bc7GGDN69GgzdOjQCp/j6zkbY8zx48eNJLNhwwZjTOX251WrVpmAgACTk5NjW2bBggUmPDzcFBYWVm8CTvhtzsYYc91115lx48ZV+Bxfz9kYY+rWrWteffXVGrGNUTF/r9flvb99UUFBgWndurVJS0u75O8nbzZx4kRz9dVXezoMlxkyZIj585//bDdt+PDhZtSoUR6KqGqcOd7zZuUdy/3W559/biSZ7777rnqCqoKK8vnhhx/MFVdcYbKyskzz5s3Nc889V+2xuQNnvCuhqKhImZmZio+Pt00LCAhQfHy8MjIyPBiZax04cEAxMTFq2bKlRo0apcOHD0uSMjMzVVxcbJd/u3bt1KxZM7/JPzs7Wzk5OXY5RkREqE+fPrYcMzIyFBkZqZ49e9qWiY+PV0BAgLZu3VrtMbvK+vXr1ahRI7Vt21YPPvigTp48aZvnDzmfPn1aklSvXj1JldufMzIy1LlzZ0VFRdmWSUxMVH5+vu2Mqjf7bc6l3njjDTVo0ECdOnXS5MmTde7cOds8X865pKREy5Yt09mzZxUXF1cjtjHKVxPqdUXvb1+TlJSkIUOG2G0rX7Ry5Ur17NlTf/zjH9WoUSN1795dr7zyiqfDclrfvn2Vnp6ur7/+WpL0xRdfaNOmTRo8eLCHI3ONyhzv+brTp0/LYrEoMjLS06E4xWq16o477tAjjzyijh07ejoclwr0dAC+4MSJEyopKbE7QJOkqKgo7du3z0NRuVafPn20ZMkStW3bVseOHdP06dN1zTXXKCsrSzk5OQoODi7zBo6KilJOTo5nAnax0jzK28al83JyctSoUSO7+YGBgapXr57PjsOgQYM0fPhwxcbG6ptvvtFjjz2mwYMHKyMjQ7Vq1fL5nK1Wq8aPH69+/fqpU6dOklSp/TknJ6fcfaF0njcrL2dJuu2229S8eXPFxMRo9+7dmjhxovbv36/ly5dL8s2cv/zyS8XFxen8+fO6/PLLtWLFCnXo0EG7du3y622Mivl7va7o/e1rli1bph07dmjbtm2eDqXKvv32Wy1YsEApKSl67LHHtG3bNj300EMKDg7W6NGjPR2ewyZNmqT8/Hy1a9dOtWrVUklJif7+979r1KhRng7NJSpzvOfLzp8/r4kTJ+rWW29VeHi4p8NxyjPPPKPAwEA99NBDng7F5Wi8IUl2f8ns0qWL+vTpo+bNm+vtt99WWFiYByODO91yyy22/3fu3FldunRRq1attH79eg0YMMCDkblGUlKSsrKy7O5X4O8qyvnXn8vv3LmzGjdurAEDBuibb75Rq1atqjtMl2jbtq127dql06dP6z//+Y9Gjx6tDRs2eDoswG384Xfa999/r3HjxiktLU2hoaGeDqfKrFarevbsqaefflqS1L17d2VlZWnhwoU+2Xi//fbbeuONN7R06VJ17NhRu3bt0vjx4xUTE+OT+dQkxcXF+tOf/iRjjBYsWODpcJySmZmp559/Xjt27JDFYvF0OC7HpeaV0KBBA9WqVavMHXFzc3MVHR3toajcKzIyUm3atNHBgwcVHR2toqIi5eXl2S3jT/mX5nGxbRwdHV3m5jwXLlzQqVOn/GYcWrZsqQYNGujgwYOSfDvn5ORkffDBB/rkk0/UpEkT2/TK7M/R0dHl7gul87xVRTmXp0+fPpJkt619Lefg4GBdeeWV6tGjh2bOnKmuXbvq+eef9+ttjIvz53rtyPvbm2VmZur48eO66qqrFBgYqMDAQG3YsEEvvPCCAgMDVVJS4ukQHdK4cWN16NDBblr79u1tH9fzNY888ogmTZqkW265RZ07d9Ydd9yhCRMmaObMmZ4OzSUqc7zni0qb7u+++05paWk+e7b7008/1fHjx9WsWTPb74fvvvtODz/8sFq0aOHp8KqMxrsSgoOD1aNHD6Wnp9umWa1WpaenKy4uzoORuc+ZM2f0zTffqHHjxurRo4eCgoLs8t+/f78OHz7sN/nHxsYqOjraLsf8/Hxt3brVlmNcXJzy8vKUmZlpW2bdunWyWq22JsbX/fDDDzp58qQaN24syTdzNsYoOTlZK1as0Lp16xQbG2s3vzL7c1xcnL788ku7PzqUFrLfHmB5g0vlXJ5du3ZJkt229qWcy2O1WlVYWOiX2xiV44/12pn3tzcbMGCAvvzyS+3atcv207NnT40aNUq7du1SrVq1PB2iQ/r161fm692+/vprNW/e3EMRVc25c+cUEGDfHtSqVUtWq9VDEblWZY73fE1p033gwAGtXbtW9evX93RITrvjjju0e/duu98PMTExeuSRR7RmzRpPh1d1nr23m+9YtmyZCQkJMUuWLDF79uwx9913n4mMjLS7I64ve/jhh8369etNdna22bx5s4mPjzcNGjQwx48fN8YY88ADD5hmzZqZdevWme3bt5u4uDgTFxfn4agdU1BQYHbu3Gl27txpJJm5c+eanTt32u76OGvWLBMZGWnee+89s3v3bjN06FATGxtrfv75Z9s6Bg0aZLp37262bt1qNm3aZFq3bm1uvfVWT6V0SRfLuaCgwPz1r381GRkZJjs726xdu9ZcddVVpnXr1ub8+fO2dfhazg8++KCJiIgw69evN8eOHbP9nDt3zrbMpfbnCxcumE6dOpmEhASza9cus3r1atOwYUMzefJkT6R0SZfK+eDBg2bGjBlm+/btJjs727z33numZcuW5tprr7Wtw9dynjRpktmwYYPJzs42u3fvNpMmTTIWi8V8/PHHxhj/28aoPH+r15X5nebrfPmu5p9//rkJDAw0f//7382BAwfMG2+8YWrXrm3+/e9/ezo0p4wePdpcccUV5oMPPjDZ2dlm+fLlpkGDBubRRx/1dGiV5orjPW9ysXyKiorM73//e9OkSROza9cuu98R3voNHZfaPr/lT3c1p/F2wPz5802zZs1McHCw6d27t9myZYunQ3KZkSNHmsaNG5vg4GBzxRVXmJEjR5qDBw/a5v/888/mL3/5i6lbt66pXbu2+cMf/mCOHTvmwYgd98knnxhJZX5Gjx5tjPnlKyamTJlioqKiTEhIiBkwYIDZv3+/3TpOnjxpbr31VnP55Zeb8PBwc/fdd5uCggIPZFM5F8v53LlzJiEhwTRs2NAEBQWZ5s2bmzFjxpQ5OPW1nMvLV5JZvHixbZnK7M+HDh0ygwcPNmFhYaZBgwbm4YcfNsXFxdWcTeVcKufDhw+ba6+91tSrV8+EhISYK6+80jzyyCPm9OnTduvxpZz//Oc/m+bNm5vg4GDTsGFDM2DAAFvTbYz/bWM4xp/qdWV+p/k6X268jTHm/fffN506dTIhISGmXbt25uWXX/Z0SE7Lz88348aNM82aNTOhoaGmZcuW5vHHH/faJq48rjje8yYXyyc7O7vC3xGffPKJp0Mv16W2z2/5U+NtMcYYV55BBwAAAAAA/4fPeAMAAAAA4EY03gAAAAAAuBGNNwAAAAAAbkTjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4EY03AAAAAABuROMNAAAAAIAb0XgDqLRDhw7JYrFo165dkqT169fLYrEoLy/Po3EBAAAA3ozGG4DT+vbtq2PHjikiIsLToQAAAABei8YbgNOCg4MVHR0ti8Xi6VAAAIAblJSUyGq1ejoMwOfReAN+7j//+Y86d+6ssLAw1a9fX/Hx8Tp79qysVqtmzJihJk2aKCQkRN26ddPq1avtnvv555+re/fuCg0NVc+ePbVz5067+b+91HzatGnq1q2b3TLz5s1TixYtbI/vuusuDRs2TE8//bSioqIUGRmpGTNm6MKFC3rkkUdUr149NWnSRIsXL3bHcAAA4NUqqtvXX3+9xo8fb7fssGHDdNddd9keHzt2TEOGDFFYWJhiY2O1dOlStWjRQvPmzbMtM3fuXHXu3FmXXXaZmjZtqr/85S86c+aMbf6SJUsUGRmplStXqkOHDgoJCdHhw4e1fv169e7dW5dddpkiIyPVr18/fffdd24eDcB/BHo6AADuc+zYMd16662aPXu2/vCHP6igoECffvqpjDF6/vnnNWfOHL300kvq3r27Fi1apN///vf66quv1Lp1a505c0Y33XSTBg4cqH//+9/Kzs7WuHHjXBLXunXr1KRJE23cuFGbN2/WPffco88++0zXXnuttm7dqrfeekv333+/Bg4cqCZNmrjkNQEA8HYXq9uVceedd+rEiRNav369goKClJKSouPHj9stExAQoBdeeEGxsbH69ttv9Ze//EWPPvqoXnzxRdsy586d0zPPPKNXX31V9evXV7169dStWzeNGTNGb775poqKivT5559zxRvgABpvwI8dO3ZMFy5c0PDhw9W8eXNJUufOnSVJ//jHPzRx4kTdcsstkqRnnnlGn3zyiebNm6fU1FQtXbpUVqtVr732mkJDQ9WxY0f98MMPevDBB6scV7169fTCCy8oICBAbdu21ezZs3Xu3Dk99thjkqTJkydr1qxZ2rRpky0+AAD83cXq9qXs27dPa9eu1bZt29SzZ09J0quvvqrWrVvbLffrs+YtWrTQ3/72Nz3wwAN2jXdxcbFefPFFde3aVZJ06tQpnT59WjfddJNatWolSWrfvr3TeQI1EZeaA36sa9euGjBggDp37qw//vGPeuWVV/TTTz8pPz9fR48eVb9+/eyW79evn/bu3StJ2rt3r7p06aLQ0FDb/Li4OJfE1bFjRwUE/N+vn6ioKLsDi1q1aql+/fpl/koPAIA/q6huV8b+/fsVGBioq666yjbtyiuvVN26de2WW7t2rQYMGKArrrhCderU0R133KGTJ0/q3LlztmWCg4PVpUsX2+N69erprrvuUmJiom6++WY9//zzOnbsWBWzBWoWGm/Aj9WqVUtpaWn66KOP1KFDB82fP19t27ZVdna2W14vICCgzOVwxcXFZZYLCgqye2yxWMqdxs1cAAA1ycXqdmVr7MUcOnRIN910k7p06aL//ve/yszMVGpqqiSpqKjItlxYWFiZy8gXL16sjIwM9e3bV2+99ZbatGmjLVu2OJkpUPPQeAN+zmKxqF+/fpo+fbp27typ4OBgpaenKyYmRps3b7ZbdvPmzerQoYOkXy4h2717t86fP2+bf6kC27BhQ+Xk5NgdGJR+5zcAALi08ur2ihUr1LBhQ7uzzCUlJcrKyrI9btu2rS5cuGB3I9SDBw/anTHPzMyU1WrVnDlz9Lvf/U5t2rTR0aNHKx1b9+7dNXnyZH322Wfq1KmTli5dWsVsgZqDxhvwY1u3btXTTz+t7du36/Dhw1q+fLl+/PFHtW/fXo888oieeeYZvfXWW9q/f78mTZqkXbt22W6gdtttt8lisWjMmDHas2ePVq1apX/84x8Xfb3rr79eP/74o2bPnq1vvvlGqamp+uijj6ojVQAAfN7F6nb//v314Ycf6sMPP9S+ffv04IMP2r5VRJLatWun+Ph43Xffffr888+1c+dO3XfffXZnr6+88koVFxdr/vz5+vbbb/W///u/Wrhw4SXjys7O1uTJk5WRkaHvvvtOH3/8sQ4cOMDnvAEHcHM1wI+Fh4dr48aNmjdvnvLz89W8eXPNmTNHgwcPVmJiok6fPq2HH35Yx48fV4cOHbRy5UrbTVguv/xyvf/++3rggQfUvXt3dejQQc8884xGjBhR4eu1b99eL774op5++mk99dRTGjFihP7617/q5Zdfrq6UAQDwWRer28XFxfriiy905513KjAwUBMmTNANN9xg9/x//etfuueee3TttdcqOjpaM2fO1FdffWW7X0vXrl01d+5cPfPMM5o8ebKuvfZazZw5U3feeedF46pdu7b27dun119/XSdPnlTjxo2VlJSk+++/321jAfgbi6ns9xMAAAAA8Bk//PCDmjZtaruhGgDPofEGAAAA/MC6det05swZde7cWceOHdOjjz6qI0eO6Ouvvy5zE1MA1YtLzQEAAAA/UFxcrMcee0zffvut6tSpo759++qNN96g6Qa8AGe8AQAAAABwI+5qDgAAAACAG9F4AwAAAADgRjTeAAAAAAC4EY03AAAAAABuROMNAAAAAIAb0XgDAAAAAOBGNN4AAAAAALgRjTcAAAAAAG5E4w0AAAAAgBvReAMAAAAA4EY03gAAAAAAuBGNNwAAAAAAbkTjDQAAAACAGwV6OgB3s1qtOnr0qOrUqSOLxeLpcAAAuCRjjAoKChQTE6OAgJrxN3LqNQDA1zhSr/2+8T569KiaNm3q6TAAAHDY999/ryZNmng6jGpBvQYA+KrK1Gu/b7zr1Kkj6ZfBCA8Pr9K6iouL9fHHHyshIUFBQUGuCK/GYOycw7g5h3FzHmPnHFePW35+vpo2bWqrYTVBaa6vvvqqhg0bVqP2v5r8vqupuZM3edcENSFvR+q13zfepZerhYeHu6Txrl27tsLDw/1253EXxs45jJtzGDfnMXbOcde41aRLrktzrYn7X01+39XU3MmbvGuCmpR3Zep1zfjgGAAAAAAAHuL3Z7wBf9Bp2hoVlnjfma9Ds4Z4OgQAqFCLSR96OoQK8fsTAGoWzngDAAAAAOBGNN4AAAAAALgRjTcAAAAAAG5E4w0AAAAAgBvReAMAgIuaOXOmevXqpTp16qhRo0YaNmyY9u/fb7fM+fPnlZSUpPr16+vyyy/XiBEjlJub66GIAQDwLjTeAADgojZs2KCkpCRt2bJFaWlpKi4uVkJCgs6ePWtbZsKECXr//ff1zjvvaMOGDTp69KiGDx/uwagBAPAefJ0YAAC4qNWrV9s9XrJkiRo1aqTMzExde+21On36tF577TUtXbpU/fv3lyQtXrxY7du315YtW/S73/3OE2EDAOA1aLxRrfg+agDwfadPn5Yk1atXT5KUmZmp4uJixcfH25Zp166dmjVrpoyMDBpvAECNR+MNAAAqzWq1avz48erXr586deokScrJyVFwcLAiIyPtlo2KilJOTk656yksLFRhYaHtcX5+vu3/xcXFLok1pJZxyXrc4dc5lv7fVXn7kpqaO3mTd01QE/J2JDcabwAAUGlJSUnKysrSpk2bqrSemTNnavr06eXOS0tLq9K6S83u7ZLVuMWqVavKTHNV3r6opuZO3jULefufc+fOVXpZGm8AAFApycnJ+uCDD7Rx40Y1adLENj06OlpFRUXKy8uzO+udm5ur6Ojoctc1efJkpaSk2B7n5+eradOmkqSBAwcqKCioyvF2mramyutwl6xpibb/FxcXKy0tzWV5+5Kamjt5k3dNUBPy/vXVWpdC4w0AAC7KGKOxY8dqxYoVWr9+vWJjY+3m9+jRQ0FBQUpPT9eIESMkSfv379fhw4cVFxdX7jpDQkIUEhJS7rygoCCXHKR54z1FSpWXn6vy9kU1NXfyrlnI2/84kheNNwAAuKikpCQtXbpU7733nurUqWP73HZERITCwsIUERGhe+65RykpKapXr57Cw8M1duxYxcXFcWM1AABE4w0AAC5hwYIFkqTrr7/ebvrixYt11113SZKee+45BQQEaMSIESosLFRiYqJefPHFao4UAADvROMNAAAuyphL3x08NDRUqampSk1NrYaIAADwLQGeDgAAAAAAAH/mVOPdsmVLnTx5ssz0vLw8tWzZstLrmTlzpnr16qU6deqoUaNGGjZsmPbv32+3zPnz55WUlKT69evr8ssv14gRI5Sbm+tM2AAA1CiuqtcAAKBqnGq8Dx06pJKSkjLTCwsLdeTIkUqvZ8OGDUpKStKWLVuUlpam4uJiJSQk6OzZs7ZlJkyYoPfff1/vvPOONmzYoKNHj2r48OHOhA0AQI3iqnoNAACqxqHPeK9cudL2/zVr1igiIsL2uKSkROnp6WrRokWl17d69Wq7x0uWLFGjRo2UmZmpa6+9VqdPn9Zrr72mpUuXqn///pJ+uZFL+/bttWXLFu6UCgBAOVxdrwEAQNU41HgPGzZMkmSxWDR69Gi7eUFBQWrRooXmzJnjdDCnT5+WJNWrV0+SlJmZqeLiYsXHx9uWadeunZo1a6aMjIxyG+/CwkIVFhbaHpd+qXlxcbGKi4udjq10Hb/+F5VXOmYhAZe+QY8neOs2Zdycw3vVeYydc1w9blVdj7vrNQAAcIxDjbfVapUkxcbGatu2bWrQoIHLArFarRo/frz69eunTp06SZJycnIUHBysyMhIu2WjoqJs3yH6WzNnztT06dPLTP/4449Vu3Ztl8SalpbmkvXURE/1tHo6hHKtWrXK0yFcFOPmHN6rzmPsnOOqcTt37lyVnu/Oeg0AABzn1NeJZWdnuzoOJSUlKSsrS5s2barSeiZPnqyUlBTb4/z8fDVt2lQJCQkKDw+v0rqLi4uVlpamgQMHKigoqErrqmlKx27K9gAVWi2eDqeMrGmJng6hXIybc3ivOo+xc46rx630aq2qcke9BgAAjnP6e7zT09OVnp6u48eP2/6yXmrRokUOrSs5OVkffPCBNm7cqCZNmtimR0dHq6ioSHl5eXZnvXNzcxUdHV3uukJCQhQSElJmelBQkMsOIl25rpqm0GpRYYn3NZDevj0ZN+fwXnUeY+ccV42bK8felfUaNUOLSR9W22uF1DKa3VvqNG1NpercoVlDqiEqAHA9p+5qPn36dCUkJCg9PV0nTpzQTz/9ZPdTWcYYJScna8WKFVq3bp1iY2Pt5vfo0UNBQUFKT0+3Tdu/f78OHz6suLg4Z0IHAKDGcFW9BgAAVePUGe+FCxdqyZIluuOOO6r04klJSVq6dKnee+891alTx/a57YiICIWFhSkiIkL33HOPUlJSVK9ePYWHh2vs2LGKi4vjjuYAAFyCq+o1AACoGqca76KiIvXt27fKL75gwQJJ0vXXX283ffHixbrrrrskSc8995wCAgI0YsQIFRYWKjExUS+++GKVXxsAAH/nqnoNAACqxqlLze+9914tXbq0yi9ujCn3p7TplqTQ0FClpqbq1KlTOnv2rJYvX17h57sBAMD/cVW9BgAAVePUGe/z58/r5Zdf1tq1a9WlS5cyN4GZO3euS4IDAADOo14DAOAdnGq8d+/erW7dukmSsrKy7OZZLN5352UAAGoi6jX8TXXecd0Z3HUdQEWcarw/+eQTV8cBAABcjHoNAIB3cOoz3gAAAAAAoHKcOuN9ww03XPQStXXr1jkdEAAAcA3qNQAA3sGpxrv082KliouLtWvXLmVlZWn06NGuiAsAAFQR9RoAAO/gVOP93HPPlTt92rRpOnPmTJUCAgAArkG9BgDAO7j0M9633367Fi1a5MpVAgAAF6NeAwBQvVzaeGdkZCg0NNSVqwQAAC5GvQYAoHo5dan58OHD7R4bY3Ts2DFt375dU6ZMcUlgAACgaqjXAAB4B6ca74iICLvHAQEBatu2rWbMmKGEhASXBAYAAKqGeg0AgHdwqvFevHixq+MAAAAuRr0GAMA7ONV4l8rMzNTevXslSR07dlT37t1dEpS36zRtjQpLKv5eVE86NGuIp0MAAHiZmlqvAQDwFk413sePH9ctt9yi9evXKzIyUpKUl5enG264QcuWLVPDhg1dGSMAAHAC9RoAAO/g1F3Nx44dq4KCAn311Vc6deqUTp06paysLOXn5+uhhx5ydYwAAMAJ1GsAALyDU2e8V69erbVr16p9+/a2aR06dFBqaio3awEAwEtQrwEA8A5OnfG2Wq0KCgoqMz0oKEhWq7XKQQEAgKqjXgMA4B2cOuPdv39/jRs3Tm+++aZiYmIkSUeOHNGECRM0YMAAlwYIAACcQ732Xi0mfWj7f0gto9m9vfvmrQCAqnHqjPc///lP5efnq0WLFmrVqpVatWql2NhY5efna/78+a6OEQAAOIF6DQCAd3DqjHfTpk21Y8cOrV27Vvv27ZMktW/fXvHx8S4NDgAAOI96DQCAd3DojPe6devUoUMH5efny2KxaODAgRo7dqzGjh2rXr16qWPHjvr000/dFSsAAKgE6jUAAN7FocZ73rx5GjNmjMLDw8vMi4iI0P3336+5c+e6LDgAAOA46jUAAN7Focb7iy++0KBBgyqcn5CQoMzMzCoHBQAAnEe9BgDAuzjUeOfm5pb7tSSlAgMD9eOPP1Y5KAAA4DzqNQAA3sWhxvuKK65QVlZWhfN3796txo0bVzkoAADgPOo1AADexaG7mt94442aMmWKBg0apNDQULt5P//8s6ZOnaqbbrrJpQECgLO89TtxD80a4ukQ4Oeo1wAAeBeHGu8nnnhCy5cvV5s2bZScnKy2bdtKkvbt26fU1FSVlJTo8ccfd0ugAACgcqjXAAB4F4ca76ioKH322Wd68MEHNXnyZBljJEkWi0WJiYlKTU1VVFSUWwIFAACVQ70GAMC7ONR4S1Lz5s21atUq/fTTTzp48KCMMWrdurXq1q3rjvgAAIATqNcAAHgPhxvvUnXr1lWvXr1cGQsAAHAx6jUAAJ7n0F3NAQAAAACAY2i8AQAAAABwIxpvAAAAAADciMYbAAAAAAA3cvrmagAAAAD+T4tJH1ZquZBaRrN7S52mrVFhicXNUf3i0Kwh1fI6AMrHGW8AAAAAANyIxhsAAAAAADfiUnMAAADAz1X2Mnh3qugSey6DR03AGW8AAAAAANyIxhsAAAAAADfiUnMAAAAAKIcrLtF3113svfkS/RaTPvTI3fsrw1PjRuMNAPAZ3vAZxfKUHlwAAACUxycuNU9NTVWLFi0UGhqqPn366PPPP/d0SAAAoBzUbAAAyvL6M95vvfWWUlJStHDhQvXp00fz5s1TYmKi9u/fr0aNGnk6PAAA8P9RswE4w1uvZvJ2jJtv8frGe+7cuRozZozuvvtuSdLChQv14YcfatGiRZo0aZKHowMA/+Rtn8eCb6BmAwBQPq++1LyoqEiZmZmKj4+3TQsICFB8fLwyMjI8GBkAAPg1ajYAABXz6jPeJ06cUElJiaKiouymR0VFad++feU+p7CwUIWFhbbHp0+fliSdOnVKxcXFVYqnuLhY586dU2BxgEqs3nkm6OTJk54OoVzePnaMm3MYN+d467hJ3j923irQanTunFUnT55UUFBQlddXUFAgSTLGVHld1cXRml1RvT537pzLxjHwwtkqr6M6lO4/NfF9V1NzJ2/yrgm8NW9XHoc5Uq+9uvF2xsyZMzV9+vQy02NjYz0QTfVrMMfTEfgmxs05jJtzGDf/dJsb1llQUKCIiAg3rNnzKqrX9957rwei8Tx37D++oqbmTt41C3l7D3cch1WmXnt1492gQQPVqlVLubm5dtNzc3MVHR1d7nMmT56slJQU22Or1apTp06pfv36sliq9peW/Px8NW3aVN9//73Cw8OrtK6ahrFzDuPmHMbNeYydc1w9bsYYFRQUKCYmxgXRVQ9Ha3Z59fq7775Tt27datz+V5PfdzU1d/Im75qgJuTtSL326sY7ODhYPXr0UHp6uoYNGybpl8Kcnp6u5OTkcp8TEhKikJAQu2mRkZEujSs8PNxvdx53Y+ycw7g5h3FzHmPnHFeOm6+d6Xa0ZpdXrwMCfrn1TE3d/2pq3lLNzZ28axby9k+Vrdde3XhLUkpKikaPHq2ePXuqd+/emjdvns6ePWu7YyoAAPAO1GwAAMrn9Y33yJEj9eOPP+rJJ59UTk6OunXrptWrV5e5eQsAAPAsajYAAOXz+sZbkpKTkyu8tLw6hYSEaOrUqWUujcOlMXbOYdycw7g5j7FzDuP2f6pSs2vqONbUvKWamzt5k3dNUFPzrojF+NJ3lQAAAAAA4GMCPB0AAAAAAAD+jMYbAAAAAAA3ovEGAAAAAMCNaLwraePGjbr55psVExMji8Wid99919Mheb2ZM2eqV69eqlOnjho1aqRhw4Zp//79ng7LJyxYsEBdunSxfe9hXFycPvroI0+H5XNmzZoli8Wi8ePHezoUrzZt2jRZLBa7n3bt2nk6LJ9w5MgR3X777apfv77CwsLUuXNnbd++3dNh+azU1FS1aNFCoaGh6tOnjz7//HNPh+RSl3qvnT9/XklJSapfv74uv/xyjRgxQrm5uR6M2DmXOmYyxujJJ59U48aNFRYWpvj4eB04cMBumVOnTmnUqFEKDw9XZGSk7rnnHp05c6Yas3DcpfK+6667ymz/QYMG2S3ji3lX5nivMvv24cOHNWTIENWuXVuNGjXSI488ogsXLlRnKg6pTN7XX399mW3+wAMP2C3ja3lf6hjVH7e1q9B4V9LZs2fVtWtXpaamejoUn7FhwwYlJSVpy5YtSktLU3FxsRISEnT27FlPh+b1mjRpolmzZikzM1Pbt29X//79NXToUH311VeeDs1nbNu2TS+99JK6dOni6VB8QseOHXXs2DHbz6ZNmzwdktf76aef1K9fPwUFBemjjz7Snj17NGfOHNWtW9fTofmkt956SykpKZo6dap27Nihrl27KjExUcePH/d0aC51sffahAkT9P777+udd97Rhg0bdPToUQ0fPtyD0TrnUsdMs2fP1gsvvKCFCxdq69atuuyyy5SYmKjz58/blhk1apS++uorpaWl6YMPPtDGjRt13333VVcKTqnMseKgQYPstv+bb75pN98X867M8d6l9u2SkhINGTJERUVF+uyzz/T6669ryZIlevLJJz2RUqVU9jh3zJgxdtt89uzZtnm+mPeljlH9cVu7jIHDJJkVK1Z4Ogyfc/z4cSPJbNiwwdOh+KS6deuaV1991dNh+ISCggLTunVrk5aWZq677jozbtw4T4fk1aZOnWq6du3q6TB8zsSJE83VV1/t6TD8Ru/evU1SUpLtcUlJiYmJiTEzZ870YFSudbH3Wl5engkKCjLvvPOObdrevXuNJJORkVFNEbreb4+ZrFariY6ONs8++6xtWl5engkJCTFvvvmmMcaYPXv2GElm27ZttmU++ugjY7FYzJEjR6ot9qoo71hx9OjRZujQoRU+xx/yNqbs8V5l9u1Vq1aZgIAAk5OTY1tmwYIFJjw83BQWFlZvAk4q7zj3Uscg/pC3Mf93jFpTtrWzOOONanP69GlJUr169TwciW8pKSnRsmXLdPbsWcXFxXk6HJ+QlJSkIUOGKD4+3tOh+IwDBw4oJiZGLVu21KhRo3T48GFPh+T1Vq5cqZ49e+qPf/yjGjVqpO7du+uVV17xdFg+qaioSJmZmXbv2YCAAMXHxysjI8ODkbleRe+1zMxMFRcX241Bu3bt1KxZM78ag+zsbOXk5NjlGRERoT59+tjyzMjIUGRkpHr27GlbJj4+XgEBAdq6dWu1x+xK69evV6NGjdS2bVs9+OCDOnnypG2ev+T92+O9yuzbGRkZ6ty5s6KiomzLJCYmKj8/32eu9qvoOPeNN95QgwYN1KlTJ02ePFnnzp2zzfP1vH97jFpTtrWzAj0dAGoGq9Wq8ePHq1+/furUqZOnw/EJX375peLi4nT+/HldfvnlWrFihTp06ODpsLzesmXLtGPHDm3bts3TofiMPn36aMmSJWrbtq2OHTum6dOn65prrlFWVpbq1Knj6fC81rfffqsFCxYoJSVFjz32mLZt26aHHnpIwcHBGj16tKfD8yknTpxQSUmJ3YGYJEVFRWnfvn0eisr1LvZey8nJUXBwsCIjI+2eExUVpZycHM8E7AaluZS3rUvn5eTkqFGjRnbzAwMDVa9ePZ8ei0GDBmn48OGKjY3VN998o8cee0yDBw9WRkaGatWq5Rd5l3e8V5l9Oycnp9x9onSet6voOPe2225T8+bNFRMTo927d2vixInav3+/li9fLsl3867oGHXXrl1+v62rgsYb1SIpKUlZWVl8btQBbdu21a5du3T69Gn95z//0ejRo7Vhwwaa74v4/vvvNW7cOKWlpSk0NNTT4fiMwYMH2/7fpUsX9enTR82bN9fbb7+te+65x4OReTer1aqePXvq6aefliR1795dWVlZWrhwIY03ynWx91pYWJgHI0N1uOWWW2z/79y5s7p06aJWrVpp/fr1GjBggAcjc52aerxXUd6//nx+586d1bhxYw0YMEDffPONWrVqVd1hukxFx6i4OC41h9slJyfrgw8+0CeffKImTZp4OhyfERwcrCuvvFI9evTQzJkz1bVrVz3//POeDsurZWZm6vjx47rqqqsUGBiowMBAbdiwQS+88IICAwNVUlLi6RB9QmRkpNq0aaODBw96OhSv1rhx4zJ/CGvfvj2X6TuhQYMGqlWrVpk73+bm5io6OtpDUbnfr99r0dHRKioqUl5ent0y/jYGpblcbFtHR0eXuanehQsXdOrUKb8ai5YtW6pBgwa237W+nndFx3uV2bejo6PL3SdK53kzR45z+/TpI0l229wX867oGNXft3VV0XjDbYwxSk5O1ooVK7Ru3TrFxsZ6OiSfZrVaVVhY6OkwvNqAAQP05ZdfateuXbafnj17atSoUdq1a5dq1arl6RB9wpkzZ/TNN9+ocePGng7Fq/Xr16/MV8d8/fXXat68uYci8l3BwcHq0aOH0tPTbdOsVqvS09P9+t4Wv36v9ejRQ0FBQXZjsH//fh0+fNivxiA2NlbR0dF2eebn52vr1q22POPi4pSXl6fMzEzbMuvWrZPVarU1Lv7ghx9+0MmTJ22/a30170sd71Vm346Li9OXX35p94eHtLQ0hYeHe+2Vfs4c5+7atUuS7La5r+VdntJjVH/d1i7j4Zu7+YyCggKzc+dOs3PnTiPJzJ071+zcudN89913ng7Naz344IMmIiLCrF+/3hw7dsz2c+7cOU+H5vUmTZpkNmzYYLKzs83u3bvNpEmTjMViMR9//LGnQ/M53NX80h5++GGzfv16k52dbTZv3mzi4+NNgwYNzPHjxz0dmlf7/PPPTWBgoPn73/9uDhw4YN544w1Tu3Zt8+9//9vTofmkZcuWmZCQELNkyRKzZ88ec99995nIyEi7O9/6uku91x544AHTrFkzs27dOrN9+3YTFxdn4uLiPBy14y51zDRr1iwTGRlp3nvvPbN7924zdOhQExsba37++WfbOgYNGmS6d+9utm7dajZt2mRat25tbr31Vk+lVCkXy7ugoMD89a9/NRkZGSY7O9usXbvWXHXVVaZ169bm/PnztnX4Yt6VOd671L594cIF06lTJ5OQkGB27dplVq9ebRo2bGgmT57siZQq5VJ5Hzx40MyYMcNs377dZGdnm/fee8+0bNnSXHvttbZ1+GLelzpG9cdt7So03pX0ySefGEllfkaPHu3p0LxWeeMlySxevNjToXm9P//5z6Z58+YmODjYNGzY0AwYMICm20k03pc2cuRI07hxYxMcHGyuuOIKM3LkSHPw4EFPh+UT3n//fdOpUycTEhJi2rVrZ15++WVPh+TT5s+fb5o1a2aCg4NN7969zZYtWzwdkktd6r32888/m7/85S+mbt26pnbt2uYPf/iDOXbsmAcjds6ljpmsVquZMmWKiYqKMiEhIWbAgAFm//79dus4efKkufXWW83ll19uwsPDzd13320KCgo8kE3lXSzvc+fOmYSEBNOwYUMTFBRkmjdvbsaMGVPmD0u+mHdljvcqs28fOnTIDB482ISFhZkGDRqYhx9+2BQXF1dzNpV3qbwPHz5srr32WlOvXj0TEhJirrzySvPII4+Y06dP263H1/K+1DGqP25rV7EYY4x7z6kDAAAAAFBz8RlvAAAAAADciMYbAAAAAAA3ovEGAAAAAMCNaLwBAAAAAHAjGm8AAAAAANyIxhsAAAAAADei8QYAAAAAwI1ovAEAAAAAcCMabwDVqkWLFpo3b56nwwAAAACqDY03AKc420Bv27ZN9913n+sDAgAAWrJkiSIjIz0dBoDfCPR0AAC8S1FRkYKDg922/oYNG7pt3QAAAIA34ow34Oeuv/56JScnKzk5WREREWrQoIGmTJkiY4ykX85cP/XUU7rzzjsVHh5uOxv93//+Vx07dlRISIhatGihOXPm2K3zu+++04QJE2SxWGSxWGzzNm3apGuuuUZhYWFq2rSpHnroIZ09e9Y2/7dnyi0Wi1599VX94Q9/UO3atdW6dWutXLnSzaMCAIB3ulTd/umnn3TnnXeqbt26ql27tgYPHqwDBw5IktavX6+7775bp0+fttXnadOmSZL+93//Vz179lSdOnUUHR2t2267TcePH7e97k8//aRRo0apYcOGCgsLU+vWrbV48WJJv/xRPjk5WY0bN1ZoaKiaN2+umTNnVu/AAD6OxhuoAV5//XUFBgbq888/1/PPP6+5c+fq1Vdftc3/xz/+oa5du2rnzp2aMmWKMjMz9ac//Um33HKLvvzyS02bNk1TpkzRkiVLJEnLly9XkyZNNGPGDB07dkzHjh2TJH3zzTcaNGiQRowYod27d+utt97Spk2blJycfNH4pk+frj/96U/avXu3brzxRo0aNUqnTp1y23gAAODNLla377rrLm3fvl0rV65URkaGjDG68cYbVVxcrL59+2revHkKDw+31ee//vWvkqTi4mI99dRT+uKLL/Tuu+/q0KFDuuuuu2yvOWXKFO3Zs0cfffSR9u7dqwULFqhBgwaSpBdeeEErV67U22+/rf379+uNN95QixYtqntYAN9mAPi16667zrRv395YrVbbtIkTJ5r27dsbY4xp3ry5GTZsmN1zbrvtNjNw4EC7aY888ojp0KGD7XHz5s3Nc889Z7fMPffcY+677z67aZ9++qkJCAgwP//8c7nPk2SeeOIJ2+MzZ84YSeajjz5yPFkAAHzcxer2119/bSSZzZs32+adOHHChIWFmbffftsYY8zixYtNRETEJV9n27ZtRpIpKCgwxhhz8803m7vvvrvcZceOHWv69+9vFxMAx3DGG6gBfve739ldDh4XF6cDBw6opKREktSzZ0+75ffu3at+/frZTevXr5/dc8rzxRdfaMmSJbr88sttP4mJibJarcrOzq7weV26dLH9/7LLLlN4eLjd5W8AANQkFdXtPXv2KDAwUH369LHNq1+/vtq2bau9e/dedJ2ZmZm6+eab1axZM9WpU0fXXXedJOnw4cOSpAcffFDLli1Tt27d9Oijj+qzzz6zPfeuu+7Srl271LZtWz300EP6+OOPXZkuUCPQeAPQZZdd5pL1nDlzRvfff7927dpl+/niiy904MABtWrVqsLnBQUF2T22WCyyWq0uiQkAgJru7NmzSkxMVHh4uN544w1t27ZNK1askPTL57clafDgwbb7txw9elQDBgywXaZ+1VVXKTs7W0899ZR+/vln/elPf9L//M//eCwfwBdxV3OgBti6davd4y1btqh169aqVatWucu3b99emzdvtpu2efNmtWnTxvac4ODgMme/r7rqKu3Zs0dXXnmlC6MHAKBmqahud+jQQRcuXNDWrVvVt29fSdLJkye1f/9+dejQQVL59Xnfvn06efKkZs2apaZNm0qStm/fXuZ1GzZsqNGjR2v06NG65ppr9Mgjj+gf//iHJCk8PFwjR47UyJEj9T//8z8aNGiQTp06pXr16rk8f8AfccYbqAEOHz6slJQU7d+/X2+++abmz5+vcePGVbj8ww8/rPT0dD311FP6+uuv9frrr+uf//yn7S/f0i93J9+4caOOHDmiEydOSJImTpyozz77TMnJydq1a5cOHDig995775I3VwMAAP+norrdunVrDR06VGPGjNGmTZv0xRdf6Pbbb9cVV1yhoUOHSvqlPp85c0bp6ek6ceKEzp07p2bNmik4OFjz58/Xt99+q5UrV+qpp56ye80nn3xS7733ng4ePKivvvpKH3zwgdq3by9Jmjt3rt58803t27dPX3/9td555x1FR0fzfeGAA2i8gRrgzjvv1M8//6zevXsrKSlJ48aNs31tWHmuuuoqvf3221q2bJk6deqkJ598UjNmzLC7++mMGTN06NAhtWrVyvbd3F26dNGGDRv09ddf65prrlH37t315JNPKiYmxt0pAgDgNy5WtxcvXqwePXropptuUlxcnIwxWrVqle1jW3379tUDDzygkSNHqmHDhpo9e7YaNmyoJUuW6J133lGHDh00a9Ys25nsUsHBwZo8ebK6dOmia6+9VrVq1dKyZcskSXXq1NHs2bPVs2dP9erVS4cOHdKqVasUEEArAVSWxZj//6WAAPzS9ddfr27dutl9dzYAAPBO1G3AP/FnKgAAAAAA3IjGGwAAAAAAN+JScwAAAAAA3Igz3gAAAAAAuBGNNwAAAAAAbkTjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4EY03AAAAAABuROMNAAAAAIAb0XgDAAAAAOBGNN4AAAAAALgRjTcAAAAAAG5E4w0AAAAAgBvReAMAAAAA4EY03gAAAAAAuFGgpwNwN6vVqqNHj6pOnTqyWCyeDgcAgEsyxqigoEAxMTEKCKgZfyOnXgMAfI0j9drvG++jR4+qadOmng4DAACHff/992rSpImnw6gW1GsAgK+qTL32+8a7Tp06kn4ZjPDw8Cqtq7i4WB9//LESEhIUFBTkivBqDMbOOYybcxg35zF2znH1uOXn56tp06a2GlYTuLJeezveZ85h3JzH2DmHcXNOTRo3R+q13zfepZerhYeHu6Txrl27tsLDw/1+J3I1xs45jJtzGDfnMXbOcde41aRLrl1Zr70d7zPnMG7OY+ycw7g5pyaOW2Xqdc344BgAAAAAAB7i92e84V06TVujwhLvO4NzaNYQT4cAAADgVhyHAZ7DGW8AAAAAANyIxhsAAAAAADei8QYAAAAAwI1ovAEAAAAAcCMabwAAAAAA3IjGGwAAAAAAN+LrxJzgrV/FIPF1DAAAAADgbTjjDQAAAACAG9F4AwAAAADgRjTeAAAAAAC4EY03AAAAAABuROMNAAAuatq0abJYLHY/7dq1s80/f/68kpKSVL9+fV1++eUaMWKEcnNzPRgxAADehcYbAABcUseOHXXs2DHbz6ZNm2zzJkyYoPfff1/vvPOONmzYoKNHj2r48OEejBYAAO/C14kBAIBLCgwMVHR0dJnpp0+f1muvvaalS5eqf//+kqTFixerffv22rJli373u99Vd6gAAHgdGm8AAHBJBw4cUExMjEJDQxUXF6eZM2eqWbNmyszMVHFxseLj423LtmvXTs2aNVNGRkaFjXdhYaEKCwttj/Pz8yVJxcXFKi4udm8yHlaan7/n6WqMm/NKxywkwHg4kvJ56zZln3NOTRo3R3Kk8QYAABfVp08fLVmyRG3bttWxY8c0ffp0XXPNNcrKylJOTo6Cg4MVGRlp95yoqCjl5ORUuM6ZM2dq+vTpZaZ//PHHql27tqtT8EppaWmeDsEnMW7Oe6qn1dMhlGvVqlWeDuGi2OecUxPG7dy5c5Ve1qnGu2XLltq2bZvq169vNz0vL09XXXWVvv32W2dWCwAAXMhV9Xrw4MG2/3fp0kV9+vRR8+bN9fbbbyssLMyp2CZPnqyUlBTb4/z8fDVt2lQJCQkKDw93ap2+ori4WGlpaRo4cKCCgoI8HY7PYNycVzp2U7YHqNBq8XQ4ZWRNS/R0COVin3NOTRq30qu1KsOpxvvQoUMqKSkpM72wsFBHjhxxZpUAAMDF3FWvIyMj1aZNGx08eFADBw5UUVGR8vLy7M565+bmlvuZ8FIhISEKCQkpMz0oKMjvD9RK1aRcXYlxc16h1aLCEu9rvL19e7LPOacmjJsj+TnUeK9cudL2/zVr1igiIsL2uKSkROnp6WrRooUjqwQAAC7m7np95swZffPNN7rjjjvUo0cPBQUFKT09XSNGjJAk7d+/X4cPH1ZcXJzTrwEAgD9xqPEeNmyYJMlisWj06NF284KCgtSiRQvNmTOn0uubOXOmli9frn379iksLEx9+/bVM888o7Zt29qWOX/+vB5++GEtW7ZMhYWFSkxM1IsvvqioqChHQgcAoMZwdb3+61//qptvvlnNmzfX0aNHNXXqVNWqVUu33nqrIiIidM899yglJUX16tVTeHi4xo4dq7i4OO5oDgDA/+dQ4221/nJDhtjYWG3btk0NGjSo0otv2LBBSUlJ6tWrly5cuKDHHntMCQkJ2rNnjy677DJJv3w36Icffqh33nlHERERSk5O1vDhw7V58+YqvTYAAP7K1fX6hx9+0K233qqTJ0+qYcOGuvrqq7VlyxY1bNhQkvTcc88pICBAI0aMsPsjOQAA+IVTn/HOzs52yYuvXr3a7vGSJUvUqFEjZWZm6tprr+W7QQEAqAJX1etly5ZddH5oaKhSU1OVmprqktcDAMDfOP11Yunp6UpPT9fx48dtf1kvtWjRIqfWefr0aUlSvXr1JMnp7wYFAAC/cEe9BgAAjnGq8Z4+fbpmzJihnj17qnHjxrJYqn53RKvVqvHjx6tfv37q1KmTJDn13aCFhYUqLCy0PS69xXtxcXGVv8S99PkhAaZK63Enb/2iem8fO28fN2+Nz1sxbs5j7Jzj6nFz1XrcUa8BAIDjnGq8Fy5cqCVLluiOO+5wWSBJSUnKysrSpk2bqrSemTNnavr06WWmf/zxx6pdu3aV1l3qqZ7WSy/kIatWrfJ0CBflrWPn7eOWlpbm6RB8EuPmPMbOOa4at3PnzrlkPe6o1wAAwHFONd5FRUXq27evy4JITk7WBx98oI0bN6pJkya26dHR0Q5/N+jkyZOVkpJie5yfn6+mTZsqISFB4eHhVYqz9Mvgp2wPUKHVO88aZE1L9HQI5fL2sfP2cRs4cKDffw+iKzFuzmPsnOPqcSu9WquqXF2vAQCAc5xqvO+9914tXbpUU6ZMqdKLG2M0duxYrVixQuvXr1dsbKzdfGe+GzQkJEQhISFlprvyC9wLrRYVlnhf8yg59iXunuCtY+ft4+bK/bcmYdycx9g5x1Xj5qqxd1W9BgAAVeNU433+/Hm9/PLLWrt2rbp06VLmAGHu3LmVWk9SUpKWLl2q9957T3Xq1LF9bjsiIkJhYWF8NygAAFXgqnoNAACqxqnGe/fu3erWrZskKSsry26eIzduWbBggSTp+uuvt5u+ePFi3XXXXZL4blAAAJzlqnoNAACqxqnG+5NPPnHJixtz6Ttc892gAAA4x1X1GgAAVE2ApwMAAAAAAMCfOXXG+4YbbrjoJWrr1q1zOiAAAOAa1GsAALyDU4136efFShUXF2vXrl3KysrS6NGjXREXAACoIuo1AADewanG+7nnnit3+rRp03TmzJkqBQQAAFyDeg0AgHdw6We8b7/9di1atMiVqwQAAC5GvQYAoHq5tPHOyMhQaGioK1cJAABcjHoNAED1cupS8+HDh9s9Nsbo2LFj2r59u6ZMmeKSwAAAQNVQrwEA8A5ONd4RERF2jwMCAtS2bVvNmDFDCQkJLgkMAABUDfUaAADv4FTjvXjxYlfHAQAAXIx6DQCAd3Cq8S6VmZmpvXv3SpI6duyo7t27uyQoAPY6TVujwpKKv4vXUw7NGuLpEABUAvUaAADPcqrxPn78uG655RatX79ekZGRkqS8vDzdcMMNWrZsmRo2bOjKGAEAgBOo1wAAeAen7mo+duxYFRQU6KuvvtKpU6d06tQpZWVlKT8/Xw899JCrYwQAAE6gXgMA4B2cOuO9evVqrV27Vu3bt7dN69Chg1JTU7lZCwAAXoJ6DQCAd3DqjLfValVQUFCZ6UFBQbJarVUOCgAAVB31GgAA7+BU492/f3+NGzdOR48etU07cuSIJkyYoAEDBrgsOAAA4DzqNQAA3sGpxvuf//yn8vPz1aJFC7Vq1UqtWrVSbGys8vPzNX/+fFfHCAAAnEC9BgDAOzj1Ge+mTZtqx44dWrt2rfbt2ydJat++veLj410aHAAAcB71GgAA7+DQGe9169apQ4cOys/Pl8Vi0cCBAzV27FiNHTtWvXr1UseOHfXpp5+6K1YAAFAJ1GsAALyLQ433vHnzNGbMGIWHh5eZFxERofvvv19z5851WXAAAMBx1GsAALyLQ433F198oUGDBlU4PyEhQZmZmVUOCgAAOI96DQCAd3Go8c7NzS33a0lKBQYG6scff6xyUAAAwHnUawAAvItDjfcVV1yhrKysCufv3r1bjRs3rnJQAADAedRrAAC8i0ON94033qgpU6bo/PnzZeb9/PPPmjp1qm666SaXBQcAABxHvQYAwLs49HViTzzxhJYvX642bdooOTlZbdu2lSTt27dPqampKikp0eOPP+6WQAEAQOVQrwEA8C4ONd5RUVH67LPP9OCDD2ry5MkyxkiSLBaLEhMTlZqaqqioKLcECgAAKod6DQCAd3Go8Zak5s2ba9WqVfrpp5908OBBGWPUunVr1a1b1x3xAQAAJ1CvAQDwHg433qXq1q2rXr16uTIWAADgYtRrAAA8z6GbqwEAAAAAAMfQeAMAAAAA4EY03gAAAAAAuBGNNwAAAAAAbuT0zdUAwNt1mrZGhSUWT4dRxqFZQzwdAgAAAKoRZ7wBAAAAAHAjGm8AAAAAANyIxhsAAAAAADei8QYAAAAAwI1ovAEAAAAAcCPuag4AAAAAPqbFpA89HUK5QmoZze7t6Si8D2e8AQAAAABwI59ovFNTU9WiRQuFhoaqT58++vzzzz0dEgAAKAc1GwCAsry+8X7rrbeUkpKiqVOnaseOHeratasSExN1/PhxT4cGAAB+hZoNAED5vP4z3nPnztWYMWN09913S5IWLlyoDz/8UIsWLdKkSZM8HB0AoDrxeTbv5m01m/0FgCt0mrZGhSUWT4fhc7x13A7NGuKR1/XqM95FRUXKzMxUfHy8bVpAQIDi4+OVkZHhwcgAAMCvUbMBAKiYV5/xPnHihEpKShQVFWU3PSoqSvv27Sv3OYWFhSosLLQ9Pn36tCTp1KlTKi4urlI8xcXFOnfunAKLA1Ri9b6/3kjSyZMnPR1Cubx97Bg35zBuzvHWcZP+b+xOnjypoKAgT4dTRuCFs54OoVyBVqNz56wuG7eCggJJkjGmyuuqLo7WbHfW61I1ZX+pKUp/P3V7fLkKvfB3uyRtnTzA0yGUi7roHG8fN29V+jvOW8fNlfubI/XaqxtvZ8ycOVPTp08vMz02NtYD0VS/BnM8HYFvYtycw7g5h3HzT7e5YZ0FBQWKiIhww5o9r6bXa3fsL/A8fr87h3HzP978O84d+1tl6rVXN94NGjRQrVq1lJubazc9NzdX0dHR5T5n8uTJSklJsT22Wq06deqU6tevL4ulan9xyc/PV9OmTfX9998rPDy8SuuqaRg75zBuzmHcnMfYOcfV42aMUUFBgWJiYlwQXfVwtGa7s157O95nzmHcnMfYOYdxc05NGjdH6rVXN97BwcHq0aOH0tPTNWzYMEm/FOb09HQlJyeX+5yQkBCFhITYTYuMjHRpXOHh4X6/E7kLY+ccxs05jJvzGDvnuHLcfO1Mt6M1uzrqtbfjfeYcxs15jJ1zGDfn1JRxq2y99urGW5JSUlI0evRo9ezZU71799a8efN09uxZ2x1TAQCAd6BmAwBQPq9vvEeOHKkff/xRTz75pHJyctStWzetXr26zM1bAACAZ1GzAQAon9c33pKUnJxc4aXl1SkkJERTp04tc2kcLo2xcw7j5hzGzXmMnXMYt//jLTXbm7G/OIdxcx5j5xzGzTmMW/ksxpe+qwQAAAAAAB8T4OkAAAAAAADwZzTeAAAAAAC4EY03AAAAAABuROPtgNTUVLVo0UKhoaHq06ePPv/8c0+H5PU2btyom2++WTExMbJYLHr33Xc9HZJPmDlzpnr16qU6deqoUaNGGjZsmPbv3+/psLzeggUL1KVLF9v3RsbFxemjjz7ydFg+Z9asWbJYLBo/frynQ/F606ZNk8Visftp166dp8OCF3D0mCEvL09JSUlq3LixQkJC1KZNG61ataqaovUejo7bvHnz1LZtW4WFhalp06aaMGGCzp8/X03RegdnjrXWr1+vq666SiEhIbryyiu1ZMkSt8fpjRwdu+XLl2vgwIFq2LCh7ThjzZo11ROsF6nK8f3mzZsVGBiobt26uS0+b0XjXUlvvfWWUlJSNHXqVO3YsUNdu3ZVYmKijh8/7unQvNrZs2fVtWtXpaamejoUn7JhwwYlJSVpy5YtSktLU3FxsRISEnT27FlPh+bVmjRpolmzZikzM1Pbt29X//79NXToUH311VeeDs1nbNu2TS+99JK6dOni6VB8RseOHXXs2DHbz6ZNmzwdEjzM0WOGoqIiDRw4UIcOHdJ//vMf7d+/X6+88oquuOKKao7csxwdt6VLl2rSpEmaOnWq9u7dq9dee01vvfWWHnvssWqO3LMcPdbKzs7WkCFDdMMNN2jXrl0aP3687r333hrZQDo6dhs3btTAgQO1atUqZWZm6oYbbtDNN9+snTt3ujlS7+Ls8X1eXp7uvPNODRgwwE2ReTmDSundu7dJSkqyPS4pKTExMTFm5syZHozKt0gyK1as8HQYPun48eNGktmwYYOnQ/E5devWNa+++qqnw/AJBQUFpnXr1iYtLc1cd911Zty4cZ4OyetNnTrVdO3a1dNhwMs4esywYMEC07JlS1NUVFRdIXolR8ctKSnJ9O/f325aSkqK6devn1vj9GaVOdZ69NFHTceOHe2mjRw50iQmJroxMu/n7HFqhw4dzPTp010fkI9wZNxGjhxpnnjiiRpbOznjXQlFRUXKzMxUfHy8bVpAQIDi4+OVkZHhwchQU5w+fVqSVK9ePQ9H4jtKSkq0bNkynT17VnFxcZ4OxyckJSVpyJAhdr/rcGkHDhxQTEyMWrZsqVGjRunw4cOeDgke5Mwxw8qVKxUXF6ekpCRFRUWpU6dOevrpp1VSUlJdYXucM+PWt29fZWZm2i5H//bbb7Vq1SrdeOON1RKzr8rIyCjzez4xMZFjWidYrVYVFBRwfFYJixcv1rfffqupU6d6OhSPCfR0AL7gxIkTKikpUVRUlN30qKgo7du3z0NRoaawWq0aP368+vXrp06dOnk6HK/35ZdfKi4uTufPn9fll1+uFStWqEOHDp4Oy+stW7ZMO3bs0LZt2zwdik/p06ePlixZorZt2+rYsWOaPn26rrnmGmVlZalOnTqeDg8e4Mwxw7fffqt169Zp1KhRWrVqlQ4ePKi//OUvKi4urjEHqc6M22233aYTJ07o6quvljFGFy5c0AMPPFDjLjV3VE5OTrnjnJ+fr59//llhYWEeisz3/OMf/9CZM2f0pz/9ydOheLUDBw5o0qRJ+vTTTxUYWHPbz5qbOeAjkpKSlJWVxedGK6lt27batWuXTp8+rf/85z8aPXq0NmzYQPN9Ed9//73GjRuntLQ0hYaGejocnzJ48GDb/7t06aI+ffqoefPmevvtt3XPPfd4MDL4EqvVqkaNGunll19WrVq11KNHDx05ckTPPvtsjWm8nbF+/Xo9/fTTevHFF9WnTx8dPHhQ48aN01NPPaUpU6Z4Ojz4uaVLl2r69Ol677331KhRI0+H47VKSkp02223afr06WrTpo2nw/EoGu9KaNCggWrVqqXc3Fy76bm5uYqOjvZQVKgJkpOT9cEHH2jjxo1q0qSJp8PxCcHBwbryyislST169NC2bdv0/PPP66WXXvJwZN4rMzNTx48f11VXXWWbVlJSoo0bN+qf//ynCgsLVatWLQ9G6DsiIyPVpk0bHTx40NOhwEOcOWZo3LixgoKC7N5n7du3V05OjoqKihQcHOzWmL2BM+M2ZcoU3XHHHbr33nslSZ07d9bZs2d133336fHHH1dAAJ+oLE90dHS54xweHs7Z7kpatmyZ7r33Xr3zzjt8POsSCgoKtH37du3cuVPJycmSfvljozFGgYGB+vjjj9W/f38PR1k9+I1UCcHBwerRo4fS09Nt06xWq9LT0/nsKNzCGKPk5GStWLFC69atU2xsrKdD8llWq1WFhYWeDsOrDRgwQF9++f/au/PoKOq07eNXZw+YhTUkEAggsiqgLMNmQLaZQdTBo4iIEYdh0IQtLgQxBnAQREVUMjgyCuMZA44OLgOIQCAoCAKBwMMDBMIiPkCCC0sADSFd7x++9BiJkO50pXr5fs7JOXR1deW6u5r61Z2qrvof5eXlOX46deqk4cOHKy8vj6bbCefOndPBgwcVGxtrdRRYxJV9hh49eqigoEB2u90xbf/+/YqNjfWLplty7X27cOHCFc315e2VYRjmhfVy3bp1K/c+S9Lq1avZp62kxYsXa+TIkVq8eLEGDRpkdRyPFxkZecU+xpgxYxxnKHbt2tXqiNWGI96VlJqaqqSkJHXq1EldunTR3Llzdf78eY0cOdLqaB7t3Llz5Y78HD58WHl5eapdu7YaN25sYTLPlpycrKysLH300UeKiIhQYWGhJCkqKoq/Rl/F5MmT9bvf/U6NGzdWcXGxsrKylJOT45e3SHFGRETEFdcPqFmzpurUqcN1Ba7h8ccf1+DBg9WkSRMdP35cGRkZCgwM1LBhw6yOBgtda5/hwQcfVMOGDTVz5kxJ0iOPPKJ58+Zp/PjxGjt2rA4cOKDnnntO48aNs7KMaufs+zZ48GDNmTNHHTt2dJxqnp6ersGDB/vVHwyvta81efJkHTt2TG+//bYkacyYMZo3b56efPJJPfzww1q7dq3+9a9/afny5VaVYBln37usrCwlJSXplVdeUdeuXR37Z+Hh4YqKirKkBis4874FBARcsS9Rv359hYWF+d8+hrUXVfcur732mtG4cWMjJCTE6NKli7F582arI3m8devWGZKu+ElKSrI6mker6D2TZCxcuNDqaB7t4YcfNpo0aWKEhIQY9erVM/r27WusWrXK6lheiduJVc7QoUON2NhYIyQkxGjYsKExdOhQo6CgwOpY8ABX22dITEy8Yhz84osvjK5duxqhoaFGs2bNjBkzZhiXLl2q5tTWc+Z9Ky0tNaZOnWo0b97cCAsLM+Lj441HH33UOHXqVPUHt9C19rWSkpKMxMTEK17ToUMHIyQkxGjWrJnf7l84+94lJiayX2u49pn7OX+9nZjNMDgXBwAAAAAAs/AdbwAAAAAATETjDQAAAACAiWi8AQAAAAAwEY03AAAAAAAmovEGAAAAAMBENN4AAAAAAJiIxhsAAAAAABPReAMAAAAAYCIabwC/yjAMjR49WrVr15bNZlNeXp7VkQAAQCUlJCRo7ty5lZ7/yJEjjPeASWi8AfyqlStXatGiRVq2bJlOnDihdu3aXXV+BmwAADzH1q1bNXr0aLcuc9GiRYqOjnbrMgF/EGR1AACe6+DBg4qNjVX37t2tjgIAAJxUr149qyMA+P844g2gQg899JDGjh2ro0ePymazKSEhQStXrlTPnj0VHR2tOnXq6Pbbb9fBgwcdr2natKkkqWPHjrLZbOrdu7dF6QEA8D7Lli1TdHS0ysrKJEl5eXmy2WxKS0tzzDNq1Cg98MADkqQNGzaoV69eCg8PV3x8vMaNG6fz58875v3lqeb79u1Tz549FRYWpjZt2mjNmjWy2Wz68MMPy+U4dOiQ+vTpoxo1aqh9+/batGmTJCknJ0cjR47UmTNnZLPZZLPZNHXqVHPeDMDH0HgDqNArr7yi6dOnq1GjRjpx4oS2bt2q8+fPKzU1Vdu2bVN2drYCAgL0hz/8QXa7XZK0ZcsWSdKaNWt04sQJLV261MoSAADwKr169VJxcbF27NghSVq/fr3q1q2rnJwcxzzr169X7969dfDgQf32t7/V3XffrV27dundd9/Vhg0blJKSUuGyy8rKdNddd6lGjRr68ssv9cYbb2jKlCkVzjtlyhQ9/vjjysvL0w033KBhw4bp0qVL6t69u+bOnavIyEidOHFCJ06c0OOPP+729wHwRZxqDqBCUVFRioiIUGBgoBo0aCBJuvvuu8vN89Zbb6levXras2eP2rVr5zilrU6dOo7XAACAyomKilKHDh2Uk5OjTp06KScnRxMnTtS0adN07tw5nTlzRgUFBUpMTNTMmTM1fPhwTZgwQZLUokULvfrqq0pMTNT8+fMVFhZWbtmrV6/WwYMHlZOT4xijZ8yYof79+1+R4/HHH9egQYMkSdOmTVPbtm1VUFCgVq1aKSoqSjabjXEecBJHvAFU2oEDBzRs2DA1a9ZMkZGRSkhIkCQdPXrU2mAAAPiIxMRE5eTkyDAMff755xoyZIhat26tDRs2aP369YqLi1OLFi20c+dOLVq0SNddd53jZ+DAgbLb7Tp8+PAVy83Pz1d8fHy5hrlLly4VZrjpppsc/46NjZUknTx50s2VAv6FI94AKm3w4MFq0qSJFixYoLi4ONntdrVr104XL160OhoAAD6hd+/eeuutt7Rz504FBwerVatW6t27t3JycnTq1CklJiZKks6dO6c///nPGjdu3BXLaNy4cZUyBAcHO/5ts9kkyfG1MgCuofEGUCnfffed8vPztWDBAvXq1UvSTxd1+bmQkBBJclwUBgAAOOfy97xffvllR5Pdu3dvzZo1S6dOndJjjz0mSbr55pu1Z88eXX/99ZVabsuWLfX111+rqKhIMTExkn663ZizQkJCGOcBF3CqOYBKqVWrlurUqaM33nhDBQUFWrt2rVJTU8vNU79+fYWHh2vlypUqKirSmTNnLEoLAIB3qlWrlm666Sa98847jruD3Hrrrdq+fbv279/vaMYnTZqkL774QikpKcrLy9OBAwf00Ucf/erF1fr376/mzZsrKSlJu3bt0saNG/X0009L+u9R7cpISEjQuXPnlJ2drW+//VYXLlyoWsGAn6DxBlApAQEBWrJkiXJzc9WuXTtNnDhRL7zwQrl5goKC9Oqrr+pvf/ub4uLidOedd1qUFgAA75WYmKiysjJH4127dm21adNGDRo0UMuWLSX99D3s9evXa//+/erVq5c6duyoZ555RnFxcRUuMzAwUB9++KHOnTunzp07a9SoUY6rmv/yQmxX0717d40ZM0ZDhw5VvXr1NHv27KoVC/gJm2EYhtUhAAAAAFSvjRs3qmfPniooKFDz5s2tjgP4NBpvAAAAwA988MEHuu6669SiRQsVFBRo/PjxqlWr1hXXbAHgflxcDQAAAPADxcXFmjRpko4ePaq6deuqX79+eumll6yOBfgFjngDAAAAAGAiLq4GAAAAAICJaLwBAAAAADARjTcAAAAAACai8QYAAAAAwEQ03gAAAAAAmIjGGwAAAAAAE9F4AwAAAABgIhpvAAAAAABMROMNAAAAAICJaLwBAAAAADARjTcAAAAAACai8QYAAAAAwEQ03gAAAAAAmCjI6gBms9vtOn78uCIiImSz2ayOAwDANRmGoeLiYsXFxSkgwD/+Rs54DQDwNs6M1z7feB8/flzx8fFWxwAAwGlff/21GjVqZHWMasF4DQDwVpUZr32+8Y6IiJD005sRGRlZpWWVlpZq1apVGjBggIKDg90Rz6NQn3ejPu9Gfd7N3fWdPXtW8fHxjjHMH/xyvPb1z8zVULv/1e6vdUv+W7u/1i35Vu3OjNc+33hfPl0tMjLSLY13jRo1FBkZ6fUfkopQn3ejPu9Gfd7NrPr86ZTrX47Xvv6ZuRpq97/a/bVuyX9r99e6Jd+svTLjtX98cQwAAAAAAIv4/BFvM7Sb+qlKyjzzKMSRWYOsjgAAAAA4xVP3r9m3hrtwxBsAAAAAABPReAMAAAAAYCIabwAAAAAATETjDQAAAACAiWi8AQAAAAAwEY03AAAAAAAmovEGAAAAAMBENN4AAAAAAJiIxhsAAAAAABPReAMAAAAAYCIabwAAAAAATETjDQAAAACAiWi8AQAAAAAwEY03AAAAAAAmovEGAAAAAMBENN4AAAAAAJjIpca7WbNm+u67766Yfvr0aTVr1qzKoQAAQNUxXgMA4BlcaryPHDmisrKyK6aXlJTo2LFjVQ4FAACqjvEaAADPEOTMzB9//LHj359++qmioqIcj8vKypSdna2EhAS3hQMAAM5jvAYAwLM41XjfddddkiSbzaakpKRyzwUHByshIUEvvfSS28IBAADnuXu8njlzppYuXap9+/YpPDxc3bt31/PPP6+WLVs65vnxxx/12GOPacmSJSopKdHAgQP117/+VTExMW6pCQAAb+bUqeZ2u112u12NGzfWyZMnHY/tdrtKSkqUn5+v22+/3aysAACgEtw9Xq9fv17JycnavHmzVq9erdLSUg0YMEDnz593zDNx4kT95z//0Xvvvaf169fr+PHjGjJkiBnlAQDgdZw64n3Z4cOH3Z0DAAC4mbvG65UrV5Z7vGjRItWvX1+5ubm69dZbdebMGb355pvKysrSbbfdJklauHChWrdurc2bN+s3v/mNW3IAAOCtXGq8JSk7O1vZ2dmOv6T/3FtvvVXlYAAAoOrMGK/PnDkjSapdu7YkKTc3V6WlperXr59jnlatWqlx48batGkTjTcAwO+51HhPmzZN06dPV6dOnRQbGyubzebuXAAAoIrMGK/tdrsmTJigHj16qF27dpKkwsJChYSEKDo6uty8MTExKiwsrHA5JSUlKikpcTw+e/asJKm0tNTxc/mxv6F2/6vdX+uW/ltzaIBhcZKKmbVOWOe+UbszNbjUeL/++utatGiRRowY4crLAQBANTBjvE5OTtbu3bu1YcOGKi1n5syZmjZt2hXTV61apRo1ajger169ukq/x5tRu//x17ol6dlO9mvPZIEVK1aYunx/Xue+UPuFCxcqPa9LjffFixfVvXt3V14KAACqibvH65SUFC1btkyfffaZGjVq5JjeoEEDXbx4UadPny531LuoqEgNGjSocFmTJ09Wamqq4/HZs2cVHx+vAQMGKDIyUqWlpVq9erX69++v4OBgt9XgDajd/2r317ql/9aevi1AJXbPO4t299SBpiyXde4btV8+W6syXGq8R40apaysLKWnp7vycgduTwIAgHncNV4bhqGxY8fqgw8+UE5Ojpo2bVru+VtuuUXBwcHKzs7W3XffLUnKz8/X0aNH1a1btwqXGRoaqtDQ0CumBwcHl9sR++Vjf0Lt/le7v9YtSSV2m0rKPK/xNnt9+PM694XancnvUuP9448/6o033tCaNWt00003XfEL58yZU6nlXL49SefOnXXp0iU99dRTGjBggPbs2aOaNWtK+un2JMuXL9d7772nqKgopaSkaMiQIdq4caMr0QEA8BvuGq+Tk5OVlZWljz76SBEREY7vbUdFRSk8PFxRUVH64x//qNTUVNWuXVuRkZEaO3asunXrxoXVAACQi433rl271KFDB0nS7t27yz3nzIVbuD0JAADmcdd4PX/+fElS7969y01fuHChHnroIUnSyy+/rICAAN19993lzlADAAAuNt7r1q1zdw5J3J4EAAB3ctd4bRjXvtpwWFiYMjMzlZmZ6ZbfCQCAL3H5Pt7uVl23J6kKT7/dgVS1y/L70qX9K0J93o36vBv1ubY8AADgG1xqvPv06XPVU9TWrl3r9DKr+/YkVeGptzuQ3HPLA1+4tP/VUJ93oz7vRn2V48ztSa7GjPEawK9LSFvu0utCAw3N7iK1m/qpaRcYOzJrkCnLBVA5LjXel78vdllpaany8vK0e/duJSUlOb286rw9SVV4+u0OpKrd8sCXLu1fEerzbtTn3ajPOc7cnuRq3D1eAwAA17jUeL/88ssVTp86darOnTtX6eVYeXuSqvDU2x1I7rnlgVmX9nf1r8DucvmvyR1nrL1i/fnSX4F94dYMV0N93o36Kr8cd3DXeA0AAKomwJ0Le+CBB/TWW29Vev7k5GT985//VFZWluP2JIWFhfrhhx8kqdztSdatW6fc3FyNHDmS25MAAFAFzo7XAACgatx6cbVNmzYpLCys0vNzexIAAKqfs+M1AACoGpca7yFDhpR7bBiGTpw4oW3btik9Pb3Sy+H2JAAAmMdd4zUAAKgalxrvqKioco8DAgLUsmVLTZ8+XQMGDHBLMAAAUDWM1wAAeAaXGu+FCxe6OwcAAHAzxmsAADxDlb7jnZubq71790qS2rZtq44dO7olFAAAcB/GawAArOVS433y5Endd999ysnJcdxf+/Tp0+rTp4+WLFmievXquTMjAABwAeM1AACewaXGe+zYsSouLtb//u//qnXr1pKkPXv2KCkpSePGjdPixYvdGhIAADiP8Rq+JiFtudURAMAlLjXeK1eu1Jo1axyDuCS1adNGmZmZXKzFYlUZkEIDDc3uIrWb+qlKymxuTAUAsALjNQAAniHAlRfZ7XYFBwdfMT04OFh2u73KoQAAQNUxXgMA4Blcarxvu+02jR8/XsePH3dMO3bsmCZOnKi+ffu6LRwAAHAd4zUAAJ7BpcZ73rx5Onv2rBISEtS8eXM1b95cTZs21dmzZ/Xaa6+5OyMAAHAB4zUAAJ7Bpe94x8fHa/v27VqzZo327dsnSWrdurX69evn1nAAAMB1jNcAAHgGp454r127Vm3atNHZs2dls9nUv39/jR07VmPHjlXnzp3Vtm1bff7552ZlBQAAlcB4DQCAZ3Gq8Z47d67+9Kc/KTIy8ornoqKi9Oc//1lz5sxxWzgAAOA8xmsAADyLU433zp079dvf/vZXnx8wYIByc3OrHAoAALiO8RoAAM/iVONdVFRU4W1JLgsKCtI333xT5VAAAMB1jNcAAHgWpxrvhg0bavfu3b/6/K5duxQbG1vlUAAAwHWM1wAAeBanGu/f//73Sk9P148//njFcz/88IMyMjJ0++23uy0cAABwHuM1AACexanbiT399NNaunSpbrjhBqWkpKhly5aSpH379ikzM1NlZWWaMmWKKUEBAEDlMF4DAOBZnGq8Y2Ji9MUXX+iRRx7R5MmTZRiGJMlms2ngwIHKzMxUTEyMKUEBAEDlMF4DAOBZnGq8JalJkyZasWKFTp06pYKCAhmGoRYtWqhWrVpm5AMAAC5gvAYAwHM43XhfVqtWLXXu3NmdWQAAgJsxXsNZCWnLLfvdoYGGZneR2k39VCVlNstyAIC7OXVxNQAAAAAA4BwabwAAAAAATETjDQAAAACAiWi8AQAAAAAwEY03AAAAAAAmovEGAAAAAMBENN4AAAAAAJjI5ft4AwAAeDIr70d9LUdmDbI6AgCgGtF4A2LnDAAAAIB5ONUcAAAAAAAT0XgDAAAAAGAiGm8AAAAAAEzkFd/xzszM1AsvvKDCwkK1b99er732mrp06WJ1LAAA8AuM2YBn8tTr2YQGGprNJsIlnrpOJa5RVBGPP+L97rvvKjU1VRkZGdq+fbvat2+vgQMH6uTJk1ZHAwAAP8OYDQBAxTz+iPecOXP0pz/9SSNHjpQkvf7661q+fLneeustpaWlWZwOAABcxpgNwNeYdVT58pH+dlM/VUmZzZTfYaWrvW9W127V0XiPbrwvXryo3NxcTZ482TEtICBA/fr106ZNmyxMBlSfym7wrdiIefJpRJ58+lVFrB6Efo716jxOlWTMBgDgajy68f72229VVlammJiYctNjYmK0b9++Cl9TUlKikpISx+MzZ85Ikr7//nuVlpZWKU9paakuXLigoNIAldl97y9TQXZDFy7Yqc9LWVHfd999Vy2/R/rv/7/vvvtOwcHB15w/6NL5akjlPp70+TRjvTq7/n6Np67Xy+uvqvVdVlxcLEkyDKPKy6ouzo7Z1xqv3fGZ8dTPi3T1/2fu+v/iKivfN0/aFlYnf61b8t/a/bVuyfra3bmf48x47dGNtytmzpypadOmXTG9adOmFqTxPvdbHcBk1OdedV+q5l/o4zzl88l6dY0Z66+4uFhRUVEmLNl6/j5e8//s13nKtrC6+Wvdkv/W7q91S9bWbsb2tzLjtUc33nXr1lVgYKCKiorKTS8qKlKDBg0qfM3kyZOVmprqeGy32/X999+rTp06stmq9heVs2fPKj4+Xl9//bUiIyOrtCxPRH3ejfq8G/V5N3fXZxiGiouLFRcX54Z01cPZMfta47Wvf2auhtr9r3Z/rVvy39r9tW7Jt2p3Zrz26MY7JCREt9xyi7Kzs3XXXXdJ+mlgzs7OVkpKSoWvCQ0NVWhoaLlp0dHRbs0VGRnp9R+Sq6E+70Z93o36vJs76/O2I93OjtmVHa99/TNzNdTuf7X7a92S/9bur3VLvlN7Zcdrj268JSk1NVVJSUnq1KmTunTporlz5+r8+fOOK6YCAADPwJgNAEDFPL7xHjp0qL755hs988wzKiwsVIcOHbRy5corLt4CAACsxZgNAEDFPL7xlqSUlJRfPbW8OoWGhiojI+OKU+N8BfV5N+rzbtTn3Xy9Pme4a8z25/eU2v2vdn+tW/Lf2v21bsl/a7cZ3nSvEgAAAAAAvEyA1QEAAAAAAPBlNN4AAAAAAJiIxhsAAAAAABPReDshMzNTCQkJCgsLU9euXbVlyxarI7nFzJkz1blzZ0VERKh+/fq66667lJ+fb3Us08yaNUs2m00TJkywOorbHDt2TA888IDq1Kmj8PBw3Xjjjdq2bZvVsdyirKxM6enpatq0qcLDw9W8eXM9++yz8tbLU3z22WcaPHiw4uLiZLPZ9OGHH5Z73jAMPfPMM4qNjVV4eLj69eunAwcOWBPWBVerr7S0VJMmTdKNN96omjVrKi4uTg8++KCOHz9uXWAnXWv9/dyYMWNks9k0d+7casvnbZwZVxcsWKBevXqpVq1aqlWrlvr16+fV47Cr+xRLliyRzWZz3Cvd2zhb9+nTp5WcnKzY2FiFhobqhhtu0IoVK6oprXs5W/vcuXPVsmVLhYeHKz4+XhMnTtSPP/5YTWndw5lt5mU5OTm6+eabFRoaquuvv16LFi0yPacZnK196dKl6t+/v+rVq6fIyEh169ZNn376afWEdTNX1vtlGzduVFBQkDp06GBaPqvQeFfSu+++q9TUVGVkZGj79u1q3769Bg4cqJMnT1odrcrWr1+v5ORkbd68WatXr1ZpaakGDBig8+fPWx3N7bZu3aq//e1vuummm6yO4janTp1Sjx49FBwcrE8++UR79uzRSy+9pFq1alkdzS2ef/55zZ8/X/PmzdPevXv1/PPPa/bs2XrttdesjuaS8+fPq3379srMzKzw+dmzZ+vVV1/V66+/ri+//FI1a9bUwIEDvWZn62r1XbhwQdu3b1d6erq2b9+upUuXKj8/X3fccYcFSV1zrfV32QcffKDNmzcrLi6umpJ5H2fH1ZycHA0bNkzr1q3Tpk2bFB8frwEDBujYsWPVnLzqXN2nOHLkiB5//HH16tWrmpK6l7N1X7x4Uf3799eRI0f0/vvvKz8/XwsWLFDDhg2rOXnVOVt7VlaW0tLSlJGRob179+rNN9/Uu+++q6eeeqqak1dNZbeZlx0+fFiDBg1Snz59lJeXpwkTJmjUqFFe2YA6W/tnn32m/v37a8WKFcrNzVWfPn00ePBg7dixw+Sk7uds7ZedPn1aDz74oPr27WtSMosZqJQuXboYycnJjsdlZWVGXFycMXPmTAtTmePkyZOGJGP9+vVWR3Gr4uJio0WLFsbq1auNxMREY/z48VZHcotJkyYZPXv2tDqGaQYNGmQ8/PDD5aYNGTLEGD58uEWJ3EeS8cEHHzge2+12o0GDBsYLL7zgmHb69GkjNDTUWLx4sQUJq+aX9VVky5YthiTjq6++qp5QbvRr9f3f//2f0bBhQ2P37t1GkyZNjJdffrnas3mDqo6rly5dMiIiIox//OMfZkU0jSu1X7p0yejevbvx97//3UhKSjLuvPPOakjqXs7WPX/+fKNZs2bGxYsXqyuiaZytPTk52bjtttvKTUtNTTV69Ohhak4zVWZMePLJJ422bduWmzZ06FBj4MCBJiYzX2Vqr0ibNm2MadOmuT9QNXKm9qFDhxpPP/20kZGRYbRv397UXFbgiHclXLx4Ubm5uerXr59jWkBAgPr166dNmzZZmMwcZ86ckSTVrl3b4iTulZycrEGDBpVbj77g448/VqdOnXTPPfeofv366tixoxYsWGB1LLfp3r27srOztX//fknSzp07tWHDBv3ud7+zOJn7HT58WIWFheU+o1FRUeratatPbmukn7Y3NptN0dHRVkdxC7vdrhEjRuiJJ55Q27ZtrY7jsdwxrl64cEGlpaVeN1a5Wvv06dNVv359/fGPf6yOmG7nSt0ff/yxunXrpuTkZMXExKhdu3Z67rnnVFZWVl2x3cKV2rt3767c3FzH6eiHDh3SihUr9Pvf/75aMltl06ZNV+ynDRw40GfHwKux2+0qLi72um2cqxYuXKhDhw4pIyPD6iimCbI6gDf49ttvVVZWppiYmHLTY2JitG/fPotSmcNut2vChAnq0aOH2rVrZ3Uct1myZIm2b9+urVu3Wh3F7Q4dOqT58+crNTVVTz31lLZu3apx48YpJCRESUlJVsersrS0NJ09e1atWrVSYGCgysrKNGPGDA0fPtzqaG5XWFgoSRVuay4/50t+/PFHTZo0ScOGDVNkZKTVcdzi+eefV1BQkMaNG2d1FI/mjnF10qRJiouL87o/prpS+4YNG/Tmm28qLy+vGhKaw5W6Dx06pLVr12r48OFasWKFCgoK9Oijj6q0tNSrds5dqf3+++/Xt99+q549e8owDF26dEljxozxulPNnVVYWFjh+3T27Fn98MMPCg8PtyhZ9XvxxRd17tw53XvvvVZHMd2BAweUlpamzz//XEFBvtue+m5lcElycrJ2796tDRs2WB3Fbb7++muNHz9eq1evVlhYmNVx3M5ut6tTp0567rnnJEkdO3bU7t279frrr/tE4/2vf/1L77zzjrKystS2bVvHd77i4uJ8oj5/VVpaqnvvvVeGYWj+/PlWx3GL3NxcvfLKK9q+fbtsNpvVcXzarFmztGTJEuXk5Pjkdv3niouLNWLECC1YsEB169a1Ok61stvtql+/vt544w0FBgbqlltu0bFjx/TCCy94VePtipycHD333HP661//qq5du6qgoEDjx4/Xs88+q/T0dKvjwWRZWVmaNm2aPvroI9WvX9/qOKYqKyvT/fffr2nTpumGG26wOo6paLwroW7dugoMDFRRUVG56UVFRWrQoIFFqdwvJSVFy5Yt02effaZGjRpZHcdtcnNzdfLkSd18882OaWVlZfrss880b948lZSUKDAw0MKEVRMbG6s2bdqUm9a6dWv9+9//tiiRez3xxBNKS0vTfffdJ0m68cYb9dVXX2nmzJk+13hf3p4UFRUpNjbWMb2oqMinru55uen+6quvtHbtWp852v3555/r5MmTaty4sWNaWVmZHnvsMc2dO1dHjhyxLpyHqcq4+uKLL2rWrFlas2aNV14o09naDx48qCNHjmjw4MGOaXa7XZIUFBSk/Px8NW/e3NzQbuDKOo+NjVVwcHC5Mbp169YqLCzUxYsXFRISYmpmd3Gl9vT0dI0YMUKjRo2S9NPYd/78eY0ePVpTpkxRQIBvflu0QYMGFb5PkZGRfnO0e8mSJRo1apTee+89rzujxxXFxcXatm2bduzYoZSUFEk/beMMw1BQUJBWrVql2267zeKU7uGb/2vdLCQkRLfccouys7Md0+x2u7Kzs9WtWzcLk7mHYRhKSUnRBx98oLVr16pp06ZWR3Krvn376n/+53+Ul5fn+OnUqZOGDx+uvLw8r266JalHjx5X3P5t//79atKkiUWJ3OvChQtX7GAEBgY6djx9SdOmTdWgQYNy25qzZ8/qyy+/9IltjfTfpvvAgQNas2aN6tSpY3UktxkxYoR27dpVblsTFxenJ554wiuvyGsmV8fV2bNn69lnn9XKlSvVqVOn6ojqds7W3qpVqyvGsDvuuMNx1ef4+PjqjO8yV9Z5jx49VFBQUG57v3//fsXGxnpN0y25VvuvjX2SvPZ2mpXRrVu3cu+TJK1evdpnxsBrWbx4sUaOHKnFixdr0KBBVsepFpGRkVds48aMGaOWLVsqLy9PXbt2tTqi+1h6aTcvsmTJEiM0NNRYtGiRsWfPHmP06NFGdHS0UVhYaHW0KnvkkUeMqKgoIycnxzhx4oTj58KFC1ZHM40vXdV8y5YtRlBQkDFjxgzjwIEDxjvvvGPUqFHD+Oc//2l1NLdISkoyGjZsaCxbtsw4fPiwsXTpUqNu3brGk08+aXU0lxQXFxs7duwwduzYYUgy5syZY+zYscNxVe9Zs2YZ0dHRxkcffWTs2rXLuPPOO42mTZsaP/zwg8XJK+dq9V28eNG44447jEaNGhl5eXnltjclJSVWR6+Ua62/X+Kq5r/uWuPqiBEjjLS0NMf8s2bNMkJCQoz333+/3GenuLjYqhJc5mztv+StVzV3tu6jR48aERERRkpKipGfn28sW7bMqF+/vvGXv/zFqhJc5mztGRkZRkREhLF48WLj0KFDxqpVq4zmzZsb9957r1UluORa28y0tDRjxIgRjvkPHTpk1KhRw3jiiSeMvXv3GpmZmUZgYKCxcuVKq0pwmbO1v/POO0ZQUJCRmZlZbht3+vRpq0pwmbO1/5KvXtWcxtsJr732mtG4cWMjJCTE6NKli7F582arI7mFpAp/Fi5caHU00/hS420YhvGf//zHaNeunREaGmq0atXKeOONN6yO5DZnz541xo8fbzRu3NgICwszmjVrZkyZMsVrGrVfWrduXYX/35KSkgzD+OmWYunp6UZMTIwRGhpq9O3b18jPz7c2tBOuVt/hw4d/dXuzbt06q6NXyrXW3y/ReF/d1cbVxMTEcu9rkyZNKnzvMzIyqj+4GzhT+y95a+NtGM7X/cUXXxhdu3Y1QkNDjWbNmhkzZswwLl26VM2p3cOZ2ktLS42pU6cazZs3N8LCwoz4+Hjj0UcfNU6dOlX9wavgWtvMpKQkIzEx8YrXdOjQwQgJCTGaNWvmtfujztaemJjo1PjiyVxZ7z/nq423zTB8+HwVAAAAAAAsxne8AQAAAAAwEY03AAAAAAAmovEGAAAAAMBENN4AAAAAAJiIxhsAAAAAABPReAMAAAAAYCIabwAAAAAATETjDQAAAACAiWi8AcgwDI0ePVq1a9eWzWZTdHS0JkyY4Hg+ISFBc+fOtSwfAAAA4M2CrA4AwHorV67UokWLlJOTo2bNmikgIEDh4eFWxwIAAAB8Ao03AB08eFCxsbHq3r17tf3OixcvKiQkpNp+HwAAAGAVTjUH/NxDDz2ksWPH6ujRo7LZbEpISFDv3r3LnWouScXFxRo2bJhq1qyphg0bKjMzs9zzp0+f1qhRo1SvXj1FRkbqtttu086dOx3PT506VR06dNDf//53NW3aVGFhYdVRHgAAPsNut2v27Nm6/vrrFRoaqsaNG2vGjBnKycmRzWbT6dOnHfPm5eXJZrPpyJEjkqRFixYpOjpaH374oVq0aKGwsDANHDhQX3/9teM1O3fuVJ8+fRQREaHIyEjdcsst2rZtWzVXCfgmGm/Az73yyiuaPn26GjVqpBMnTmjr1q0VzvfCCy+offv22rFjh9LS0jR+/HitXr3a8fw999yjkydP6pNPPlFubq5uvvlm9e3bV99//71jnoKCAv373//W0qVLlZeXZ3ZpAAD4lMmTJ2vWrFlKT0/Xnj17lJWVpZiYmEq//sKFC5oxY4befvttbdy4UadPn9Z9993neH748OFq1KiRtm7dqtzcXKWlpSk4ONiMUgC/w6nmgJ+LiopSRESEAgMD1aBBg1+dr0ePHkpLS5Mk3XDDDdq4caNefvll9e/fXxs2bNCWLVt08uRJhYaGSpJefPFFffjhh3r//fc1evRoST+dXv7222+rXr165hcGAIAPKS4u1iuvvKJ58+YpKSlJktS8eXP17NlTOTk5lVpGaWmp5s2bp65du0qS/vGPf6h169basmWLunTpoqNHj+qJJ55Qq1atJEktWrQwpRbAH3HEG0CldOvW7YrHe/fulfTTqWnnzp1TnTp1dN111zl+Dh8+rIMHDzpe06RJE5puAABcsHfvXpWUlKhv374uLyMoKEidO3d2PG7VqpWio6Md43lqaqpGjRqlfv36adasWeXGcABVwxFvAFV27tw5xcbGVvgX9+joaMe/a9asWX2hAADwIVe720hAwE/H0gzDcEwrLS11+ndMnTpV999/v5YvX65PPvlEGRkZWrJkif7whz84HxhAORzxBlApmzdvvuJx69atJUk333yzCgsLFRQUpOuvv77cT926da2ICwCAT2nRooXCw8OVnZ19xXOXzyY7ceKEY1pF11K5dOlSuYul5efn6/Tp047xXPrp62QTJ07UqlWrNGTIEC1cuNCNVQD+i8YbQKVs3LhRs2fP1v79+5WZman33ntP48ePlyT169dP3bp101133aVVq1bpyJEj+uKLLzRlyhSuhgoAgBuEhYVp0qRJevLJJ/X222/r4MGD2rx5s958801df/31io+P19SpU3XgwAEtX75cL7300hXLCA4O1tixY/Xll18qNzdXDz30kH7zm9+oS5cu+uGHH5SSkqKcnBx99dVX2rhxo7Zu3VquKQfgOk41B1Apjz32mLZt26Zp06YpMjJSc+bM0cCBAyVJNptNK1as0JQpUzRy5Eh98803atCggW699VanrrYKAAB+XXp6uoKCgvTMM8/o+PHjio2N1ZgxYxQcHKzFixfrkUce0U033aTOnTvrL3/5i+65555yr69Ro4YmTZqk+++/X8eOHVOvXr305ptvSpICAwP13Xff6cEHH1RRUZHq1q2rIUOGaNq0aVaUCvgcm/HzL4MAAAAA8DmLFi3ShAkTyt3rG0D14VRzAAAAAABMROMNAAAAAICJONUcAAAAAAATccQbAAAAAAAT0XgDAAAAAGAiGm8AAAAAAExE4w0AAAAAgIlovAEAAAAAMBGNNwAAAAAAJqLxBgAAAADARDTeAAAAAACYiMYbAAAAAAAT/T/AVIrxL1x/iwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x700 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Part c: Histogram for each of the quant vars\n",
    "quant_vars = [\"calories\", \"sodium\", \"protein\", \"fat\", \"fiber\", \"carbo\", \"sugars\", \"potass\", \"weight\", \"cups\"]\n",
    "rowcounter = 0\n",
    "colcounter = 0\n",
    "\n",
    "# 2 columns\n",
    "cols = 2\n",
    "rows = len(quant_vars) // cols\n",
    "if (len(quant_vars) % cols != 0):\n",
    "    rows += 1\n",
    "\n",
    "fig, axes = plt.subplots(nrows=int(rows), ncols=int(cols))\n",
    "\n",
    "for var in quant_vars:\n",
    "    ax = cereals_df[var].hist(ax=axes[int(rowcounter)][int(colcounter)], figsize=(10,7))\n",
    "    ax.set_xlabel(var); ax.set_ylabel('Count')  # set x and y-axis label\n",
    "\n",
    "    if (rowcounter == (rows-1)):\n",
    "        rowcounter = 0\n",
    "        colcounter += 1\n",
    "    else:\n",
    "        rowcounter += 1\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Box plot of calories of hot vs cold cereals')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Part d: Box plot\n",
    "ax = cereals_df.boxplot(column='calories', by='type')\n",
    "ax.set_ylabel('calories')\n",
    "plt.suptitle('')  # Suppress the titles\n",
    "plt.title('Box plot of calories of hot vs cold cereals')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Box plot of rating by shelf height')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Part e: Box Plot\n",
    "ax = cereals_df.boxplot(column='rating', by='shelf')\n",
    "ax.set_ylabel('rating')\n",
    "plt.suptitle('')  # Suppress the titles\n",
    "plt.title('Box plot of rating by shelf height')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          calories  sodium  protein    fat  fiber  carbo  sugars  potass  \\\n",
      "calories     1.000   0.301    0.019  0.499 -0.293  0.258   0.567  -0.072   \n",
      "sodium       0.301   1.000   -0.055 -0.005 -0.071  0.298   0.059  -0.043   \n",
      "protein      0.019  -0.055    1.000  0.208  0.500 -0.025  -0.292   0.564   \n",
      "fat          0.499  -0.005    0.208  1.000  0.017 -0.300   0.302   0.200   \n",
      "fiber       -0.293  -0.071    0.500  0.017  1.000 -0.380  -0.139   0.912   \n",
      "carbo        0.258   0.298   -0.025 -0.300 -0.380  1.000  -0.471  -0.365   \n",
      "sugars       0.567   0.059   -0.292  0.302 -0.139 -0.471   1.000   0.001   \n",
      "potass      -0.072  -0.043    0.564  0.200  0.912 -0.365   0.001   1.000   \n",
      "weight       0.696   0.309    0.216  0.215  0.247  0.138   0.456   0.420   \n",
      "cups         0.087   0.120   -0.244 -0.176 -0.513  0.367  -0.049  -0.502   \n",
      "\n",
      "          weight   cups  \n",
      "calories   0.696  0.087  \n",
      "sodium     0.309  0.120  \n",
      "protein    0.216 -0.244  \n",
      "fat        0.215 -0.176  \n",
      "fiber      0.247 -0.513  \n",
      "carbo      0.138  0.367  \n",
      "sugars     0.456 -0.049  \n",
      "potass     0.420 -0.502  \n",
      "weight     1.000 -0.200  \n",
      "cups      -0.200  1.000  \n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: >"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Part f: correlation table and matrix plot\n",
    "quan_corr = quan_df.corr().round(3)\n",
    "print(quan_corr)\n",
    "fig, ax = plt.subplots()\n",
    "fig.set_size_inches(11, 7)\n",
    "sns.heatmap(quan_corr, annot=True, fmt=\".1f\", cmap=\"RdBu\", center=0, ax=ax)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "767d51c1340bd893661ea55ea3124f6de3c7a262a8b4abca0554b478b1e2ff90"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}