{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lab 12.5: Unsupervised Learning\n",
    "\n",
    "## 12.5.1: Principcal Component Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# imports and setup\n",
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "pd.set_option('display.max_rows', 12)\n",
    "pd.set_option('display.max_columns', 12)\n",
    "pd.set_option('display.float_format', '{:20,.4f}'.format) # get rid of scientific notation\n",
    "\n",
    "plt.style.use('seaborn') # pretty matplotlib plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "usarrests = pd.read_csv('../datasets/USArrests.csv', index_col=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Murder                   7.7880\n",
       "Assault                170.7600\n",
       "UrbanPop                65.5400\n",
       "Rape                    21.2320\n",
       "dtype: float64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "usarrests.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Murder                  18.9705\n",
       "Assault              6,945.1657\n",
       "UrbanPop               209.5188\n",
       "Rape                    87.7292\n",
       "dtype: float64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "usarrests.var()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA()"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "# using pipeline\n",
    "# steps = [('scaler', StandardScaler()),\n",
    "#          ('pca', PCA())]\n",
    "\n",
    "# model = Pipeline(steps)\n",
    "\n",
    "# model.fit(usarrests)\n",
    "\n",
    "# without pipeline\n",
    "scaler = StandardScaler()\n",
    "usarrests_scaled = scaler.fit_transform(usarrests)\n",
    "\n",
    "pca = PCA()\n",
    "pca.fit(usarrests_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  7.788, 170.76 ,  65.54 ,  21.232])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaler.mean_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 4.31173469, 82.50007515, 14.3292847 ,  9.27224762])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaler.scale_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
       "      <th>PC4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Murder</th>\n",
       "      <td>0.5359</td>\n",
       "      <td>0.4182</td>\n",
       "      <td>-0.3412</td>\n",
       "      <td>0.6492</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Assault</th>\n",
       "      <td>0.5832</td>\n",
       "      <td>0.1880</td>\n",
       "      <td>-0.2681</td>\n",
       "      <td>-0.7434</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>UrbanPop</th>\n",
       "      <td>0.2782</td>\n",
       "      <td>-0.8728</td>\n",
       "      <td>-0.3780</td>\n",
       "      <td>0.1339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Rape</th>\n",
       "      <td>0.5434</td>\n",
       "      <td>-0.1673</td>\n",
       "      <td>0.8178</td>\n",
       "      <td>0.0890</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                          PC1                  PC2                  PC3  \\\n",
       "Murder                 0.5359               0.4182              -0.3412   \n",
       "Assault                0.5832               0.1880              -0.2681   \n",
       "UrbanPop               0.2782              -0.8728              -0.3780   \n",
       "Rape                   0.5434              -0.1673               0.8178   \n",
       "\n",
       "                          PC4  \n",
       "Murder                 0.6492  \n",
       "Assault               -0.7434  \n",
       "UrbanPop               0.1339  \n",
       "Rape                   0.0890  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# rotation matrix\n",
    "\n",
    "pd.DataFrame(pca.components_.T,\n",
    "             index=usarrests.columns,\n",
    "             columns=['PC' + str(i+1) for i in range(len(pca.components_))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qFDYtE/2L/6/fdr9tW4iMCgK7fcjrpHvzNSKjgohIiFT+hU2ZgPGxH6GytQ95fYaD1+vls882MnFiFsuW3cCyZTcAsG/f3vPuFxcXT3p6BgC1tdUsWrQEf3//Lz3XucydOx+tdmQMTI+MWggxyphMQSxenK+8Livbg0qlwul0sG7dWlQqFQ6HA4CQkFDa2lpparIwblwGFosFt9tNdHQ0Op2emppqjhw5jNvtHjF/GMSXGKJelycsjObDlcprTcVxTA98B+O//xu2F/4+JHUYTnV1tQQFBRMdHaNsmzZtOiqVil27diq/S+npGaSljVPKnDhxDKvVil4fQGdnJxs3fkpe3nXs319GY2MjHo+H8ePHk5IylsLCAsLCwvB4vISFhVFe3kFjYytWawuZmdmMHZvGqlVvc+ONt2C329ixowiNxtffnTcvD51ON6TXRHraQgwSr9dLfX09ixYtYdGiJajVvl8vszmapiYLbncP0dExNDVZsFgaiYqKprz8IAaDgSVLlpKbO3OYWyDOJ2xaJobf/4aw3EmYHv6esl1btofQebMIT44l+LYbUNefVt7Tvb+K0GtziUiKJmzyeAz/+6zynv7VlwmdNwvdO28RNnUi4SlxmO7/JpxnGNedMpbOBx9Bt64APB7f+UuKCVl6HeGp8YTlZGN45gk4M3ysf/VlwqZMQPfma4RNHk/4uDEYf/Twec8xkrS1tREWFt5nW+8X2y+Oag0kMzMLvV7PwoXXY7W2YLW2kJ+/jMWL8ykr24vL5QIgODiEGTNmolaraGlpYe7c+SxYsJDyL9z66O7uZvr0XBYtysdsjqai4sRlaPX5SdAWYpA4nQ6MRiNqtZqqqkrl3rXZbObkyQoCA03o9Xq6u7vo7u7CaDTicDgxmYIAqKo6iefMH2IxMune/Setb72H7bkXlG0Br75M28q3aNl7CHp6MP7wBwCoa2sw/Z9/oePHP6Xp5GnaX34Nw7NP47dpAwBePz/UNdVoS3fRsrWE1jUfo/u4AN0H7563DiqPG69GA2o1KouFkDtuwnHTLTQfPE7byrfRv/0Ghj/89vNzNFnw27OblqJSWtd8gq5gDQF/ef4yXaHB5fF48Hr7/05oNBplVOvTTz9RRrXOp6mpiejoWMAX+IOCgmhv991mCA+PUMpFRUWhUqkwGAJxufp+udHpdJSVlVJYWEBFxQmczi8/72CToC3EJbLbbbzxxkoKCwsoKtpGcfEOJRHNbrdz4sRxiouLCA4OwWq1EhkZCYC/v04J1GPHplFefpDCwgLM5mi6u7t4441XaW1tvaA6vPXW6+d8bzCmoa1Zsxq73faVjnElcc5bgCc5BdSf/+ns+sa38SSMwRscQtd3/hX/zzZCTw+euHiaD5/EecPNoFLRM3kq7tQ0tGV7lH3VtnY6H/s5GAy4J0ykZ8JENCeODXxyrxfNsaME/PH3OG66BQD9e//EExlF179+H/R63OkZdN/7TXSr3lZ2UzkcdPzwJxAQgHtcOo6bbsH/THLkSBcSEkJTU1OfbW63m/LyQwOOal0slcr3X7VapWw7+1hfvM9dUrKTjIwJLF6cz9ix4xgOcgNNiItkNJpYvvxG7HZbv3vb27ZtISYmhpSUsRw8uJ9Zs+YAcMcddyplrrlmrvJzeHg4N910q/I6IWEMmzZtICNjPH5+fkyaNJl3332H/PzlStAH+OijDwkJCbmczeyjsLCA3NwZhIaGDepxKytPkpSU3O/nkcoTn9Bvmzt1bJ/3VS4X6iYLHnM0AX99Ad07b6GpP+0bznY6UZ3VK/SEhOANClZee3V6VF3dymt1SwsRCZ9/7h5zNI6lN9Dxk5/53q+q7HN+AHdSMpqqys/3CTTiNZs/fz8uAb+Nn15C64debGwcpaW7qK4+RULCGAB2797F6dO1hIWFo1arqaw8qYxqnU9ERCT79+8lMzMLl8tFe3s7QWdd+wvhdDoICgrC7XZTW1tDVFTUJbftUknQFmIQRUREKkNuAHv27Kaurg69Xkde3vXKNC6n04nX6yUnZwbh4eEcOLCfysqT9PS4OHHiOBkZ43G5XGzdupni4iJOnDjGbbd9jezsydjt9n7Dcs3Nzbz88ouYzdFERUUyd+4C5T2Px8P27Vux2+243W4mTZpMfHwCW7duxmAw0Nrais3WzjXXzCM8PJydO4txueyoVLoBhyYH04ED+0lKSsbj8VBefmjYgrZXp+sTLHup7Ha8ajXo9b5yfn79dz67l3emZ+bV6dC99TqG//sH2l5+Hde180CjIWThtefedwBfTEQbsO4q1Rc2eD/vQgKqL36GXi/o9Oc95kihVqvJy7uenTuL2LevDJVKRXR0NPn5y1m//mPWrVtLfHwCCQljKC4uOu+xzGYzNTVhFBR8hNfrZcqUaRed+JmRMYFNmzZgMBiYMGEiJSXFJCenDPqX2fORoC3EIPF4PNTUnGLcON9UE4fDQVJSMlOmTGPt2jVYrS3U1FQTERFJVlY2zc3NlJQUk5d3HUePHuamm26lrq6WsjLfdJby8oPExMSSkzMDq9XKmjWryc6eTFVVJTExcbjdPVgsjaxdu4bjx4/hcHQzf/4Curq6WLNmNRZLI1qtlvDwMIxG05lg7+Tvf/8rjzzyKD09PZSUFJOUlEJjYyOlpbvIycnl2LEjJCfH09BQz7Fjx1iwYCHg6wmXlBTjcDhYsOA67HYbhw+XM39+HuAbql+x4i7q6mrZs6cUlUpFQEAAc+fOx+FwsGPHNnp6elCr1cycOYfKypO0tlrZuPFTAgIMtLZa2bGjiMzMLLZu3axc02uvnavcTrhc3OMy0O7vP43Ir6QYd8YEOM8fd03lSXqmTAN897G9AQF4Q8Pw27Mb1/QZuM5cHzo60JysGNx6J6eg+3hd3/qcOI47OUV5rersRNXQoPS2NbXVeGJiGC2MRiN5edf327506fIL2v+2276m/DxtWk6/988eKUtNTSMy0oTFYsPPz0/Zt/e/aWnj+mSpjxmTeGGNGERyT1uIr+Ds+dpvv/0GZnOMMozn7++vfAM3GAy4XK4zyTC+P5jh4eG0t7fR3t5OSEgIGo0GPz8/goJ8AaqpqYljx45SXn6QhobT1NefZuPGT6muruL06Vp27tzBoUMHSUsbx+23f42TJysoKPiIgoKPqK2tZuLEiWRmZuNyuTl8+BCVlRUEBAQwZkwinZ1dOJ1OMjOzWbw4n+nTczh69DCtra2cPl3H4sWLufnm23C5HMqiEgEBBhYtyicuLp7q6lN9roPdbmPbti1YrS0cPlzO9Ok5pKeno1ar6erqoqxsD+PHT2TRonwyMiZw4MA+MjOz8PPzY8GChWRmZmIyBTFz5iyqqiqJjY1VMuo7O7toa2ulsLCA1157Rcn4HUyd338I3do16F9+EZXdBnY7urdeJ+Cvz9Px6GPn3Vf/j7+jrqtF1Wol4G//D0f+MsA3DK05eQJVczOqpiaCHnoAT3x8n+zyr8px6x2omprQ/+0FcDjQ7N+H/pWX6F5xt1LG6+dH4G+eArsdzdEj6Fa/j2PpDYNWBzG0pKctxFdw9j3tTZs2KAEXQPWFYcuBFm/4YpkzJZWfpk2bTmdnB4mJyRQVbSM3dyZbt352ZhjcjNfr5c03Xyc3dwZxcfH4+flhMBiorDzJ1q1bmDcvj87ODkwmE/7+/phMJurqajGbzfj7+9PQUM+6dWtpbGzA5XLhdDpRqVTo9XpsNheZmdnKEGLv/TuDIRCHo/9QssFgoLR0F0lJyezYsR0/Pz/i4xMwGo00NVloa2tj374yvF4vev25h2djY2PZuPFTnE4nCQmJmM/0EBcvzmfVWQlW5+P1es9xbQfWkzODtrffx/Cbpwj8718AXgLGT6T9ry/jXJQ/4D6qHt+Xh+5v/gvBK25BU12NKycX+38/fWb7t/Er2kr4tIm4Y2Lp+J+nUVksmB57FE+UGfcg3ArwhoXT/o/XMf7nzzD+9y9wx8TS9Z3/Q9cDD35exmSiJ3sSYbOnoXJ047jldrrvuvcrn1sMDwnaQgyS6dNzWL/+Y2Jj4855rywiIoL6+joiIyNpbGwkJCQEk8lEW1sbHo9HSZABiIyMpLa2BgC9PoCTJys4daqKlJTUMz3wQ+zYUcStt95OYmIS+/eXkZWVjU6nJzw8nEOHDnHw4H5aW63ExMSSlTWJzZs3ceLEcY4cOUxV1UmioswsWbKUsrIyNm78hKCgYCVb3G63Y7N9njn+xSD4xdeBgUa0Wj8CA41cf/0Stm3bwtatm4mPT6C2tobo6Fh0Oh2JiUnEx8f3Wd517drVhIdH4vF42LLlM2644WZqa2vYtWsnY8emKatb9ers7Ow33A5etmzZjF6vZ+zYNFpbWzl1qgqv10t8fDyTJ0+loaGBPXt2o1arCAw0MitnBuvWf+wbgp81h7pX32Ljxk/51rfuptXSN2u+ZfeBPq/dKWOxNPo+K8fNt/X7rL1BwbS/sarfdseddw/4M0Db+2v7vPfF9wfimjsf68Zt5y3Tfd+36L7vW196LDHyyfC4EIPEaDQxZkzieZdYzMiYQFNTE4WFBezZs5ucnBnodDpSU8eydu0a9u7dg8EQqJS12eyUle3l0KEDREREcPz4UXp6enA6nUyZMpW4uDj8/f1Rq1UcOLCfHTuK2LNnN6Gh4UREhJOaOha9Xk9p6W7ee28VycnJjBuXTklJMS5XD4GBJgBqa0/h8XiJjo7GYAjkrbfeoqxsD7W11TgcAy/E4efnpyTE2Ww2XC4XU6dO47333kGr1ZKSkoLZHENdXS1Op5Px4yeQn7+MsrJSTp06RWdnJ16vF4ulkdDQcOx2Gy0tLbhcLtra2khKSmbixEyam5v6nXug4XYAq7WF2bOvISFhDIcOHSA/fxnLl9+ITqfH6/VSUlLMggULWbQon4CWFpruu5OUlFQqK08CUFNTTfJZ94OFGGmkpy3EJeqd+nW2qVOnKz+vWHGX8nNvshagJHadLTt7MtnZk/F4PPT0uAgMDMTPz4/c3Fz27dvLihV38fLLfyMwMBCPx0tgoBGdTs/MmbMpLd2F2RzNokVLcDodLFmyjIKCNTQ3NxMVFU1u7gwmT57Kjh3bOXr0KGazb5vXC1u3fkZhYQFZWZNwOBycOHGMe+/9JidOHKKtrY3ly28mPDy8X30BQkPD0Gg0bNq0Aa1WS0CAHqPRhNls5tVXX0Kj0Z7ZbiAiIpL33191pn09zJw5m5CQUHp6eli79kNuv30FhYVrKShYw4QJmRQXF6HRaADIzZ3R79znGm43mUzKspIJCWNYv76QpKQUUlJScTqdtLe3sWnTBujqRPfME9gzJ5GUlMz69R+TlTWJmppTZ3rtQoxMErSFGEHUajXXXDOPbdu2Ar7s6bvvvg+DwcDYsWl0dztITEyiouI4breb3NwZBAeHEBwcTGJiEomJSURGRpKXdx1VVZXMmfP5FKPehy2c7YtzxHtlZY3Dctbw8NkZthkZ45WfFy5cBPgS0VQqFSqVivz8G1i//mMyMsajVqvw8/MjOTmFu75wH9Xl6iE2Npbg4GBiYmLJzp5MT08P6ekZTJv2+Zefrq6uftcI4Npr5xEYGKhs99Xh88HD2bOvwWptoaqqkrVrP2Tx4qUEBASweOH1BH3jLnQnjmO/61669HoCAwNpamrC6/X2OeZod6FD7GL0kKAtxAgTGRnJkiVL+21fdFZC1A033Kz8nJIytl/Z+PgE4gdYCGQo+DLUx3DkyGHGjx9PWFg4u3eX0NPTg1arZefOYqZOnYbZbKakpBiTKVhZ3rWnpwej0djneGvXfkh+/nLUajVqtRqNRkNERCQ1NdWkp2dQX3+azs7OPgtdOJ1ODh8+RHb2ZEJDwzh1qgqPx4MKcD70ALpP1nEACExLxwikpKRSXFzEuHHpQ3qthLhYErSFEINuwoRM5XnGRqORCRMyKSwsAGDMmDFotVpledfeLx3+/joCAgz9jpWTM4MNG9ajUqnIyfENlU+aNIXt27dw8mQFKpWKOXOu6bOPv78/3d0OPvzwA7RaLTExsRiNRhbu3cPOd/+JBtAHBZE927dfQsIYioq2Dcu8WyEuhsp7voeIjgAWy/Cte9w7yf5qJXH4c6EAACAASURBVO2/ett/JbZd9/qrGH/2Y9QdHQC4srJp/dR3G6K+/jTHjx9Tlpi9Ett/Ma7m9o+EtkdGms75nvS0hRBXPL/PNhD4xC+VgA2fryNeVraHuro65s1bcK7dhRgxJGgLIa5o6iOHMf74R2gsjX22u+N8QXvSpClMmjRlOKomxEWTedpCiCuWqr2NoO9/F+3JE/3e88TFDUONhPhqJGgLIa5YXn0APenjfU/q+gLXAA+PEGKkk6AthLhy+ftj/9MLdP7wx3gCP59K5o6MokeGxMUoJEFbCHFlU6no/Pf/wJ02Drc5GgBPbBwEBAxzxYS4eBK0hRBXPP93/4lr5mza//oPXOnj8cTHD3eVhLgkkj0uhLjiBfzj77S/9jZeUxBtb7yD/+ZNw10lIS6J9LSFEFc0bekuPOZovCbfs8698Qk45HnSYpSSnrYQ4opmePZp7E/8erirIcSgkJ62EOKKpao/jcrlwiPPyBZXCAnaQogrVuCTv6TjB48MdzWEGDQStIUQV6bubjQVFfTMnT/cNRFi0EjQFkJckQx//B2O27423NUQYlBJIpoQ4srj9eK/8VNa13w83DURYlBJT1sIccXxX/U2rtwZoNEMd1WEGFTS0xZCXHECXnmJttf/OdzVEGLQSU9bCHFF0e7aiSc6Boym4a6KEINOetpCiCuK4Xe/xv7kb4a7GkJcFtLTFkJcMVSn68DVgycpebirIsRlIUFbCHHFCHzyv+mUxVTEFUyCthDiytDdjeZkBT1z5w13TYS4bOSethj12tvbKCkpprvbAUBERCTTp+egGcLpPg0N9QQFBRMQEMCGDevJy7vuovavrDxJkgzpfiWGP/wWxx13Dnc1hLispKctRjWv18tnn21k4sQsli27gWXLbgBg3769Q1qP48eP0d3dBXDRARvgwIH9g12lq4vXi/+mDXTf843hrokQl5X0tMWoVldXS1BQMNHRMcq2adOmo1KpKC8/xMmTFQAkJIwhKyubvXtLcblc2O12Wlut5ObOJC4unnff/Sfp6eOpq6vB5erh+usX4/F4KCrahs3WjtvtYcqUqURHx1Bff5o9e0rxer0kJSUTEhJCdfUpWltbmTdvAR99tJoVK+7Cam1h585iPB4PkZGRTJ+eS2FhAbm5MwgNDePw4XIcjm40Gi2trVY2bvyUBQsWDtelHNV0/3wL14xZspiKuOJJT1uMam1tbYSFhffZptVq6erq5PjxYyxZspQlS5ZSVVWJzdaOSqWio6ODBQsWkps7k6NHjwC+HntQUBDXX7+EwMBATp+u48SJEwQEBLBoUT4LFiykpKQYgOLiIhYsWEh+/jLq6+uIijITGhrG7NlzMBqNSj1KSorJzZ1Bfv4yuru7sdvtA7YhMzMLPz8/CdhfgX7ly3Q8+pPhroYQl530tMWo5vF48Ho9/bY3NzcTGRmFWu37XhoREUlLSwsAUVFmAAwGAy6XU9nHbI4GIDAwEJfLicXSzqlTVTQ0NADgdrvp6upCpVKh1+sByMu7/px1a2trIzQ0DIBrrpn7VZsqzkEWUxFXEwnaYlQLCQlResu93G43bW2t/cqqVCoAJZADeL393z9bZmY2KSmpymuHw4H37J3OY6ByZ5/C4+n/ZUNcPMNvn8H+1G+HuxpCDAkZHhejWmxsHHa7jerqU8q23bt3YbPZsFga8Hg8eDweLJbGfsPoXyYqKko5bldXF3v27Ean0+H1euns7ARgw4ZPcDqdqFTg8fQN0iEhITQ1NQGwfftWWlut+Pn543T6evctLc1K2Qv9IiD6Up2uA7cbT1LScFdFiCEhPW0xqqnVavLyrmfnziL27StDpVIRHR1NTs41HD5czrp1awFISxvX537zhUhJSeHQoeMUFHyEx+Nh8uQpAMycOZtNmzYAkJiYhL+/P2ZzNFu2bGL+/Dxl/5ycGRQX78Dr9RIeHkFISChpaePYubOYiIgINBqNEqzDwsJYu3YNS5cuH4zLctUwPvFLOn/ww+GuhhBDRuUd4V/xLRbbsJ07MtI0rOcfbtL+q7f9o6LtnZ0Ef+1m2i7DM7NHRfsvo6u5/SOh7ZGR587PkJ62EGJUMvzxd1f8YioXs3DQtm1bSExMIj4+YVDOvWbNaubPX4BREvxGFAnaQojRx+vF/7ONtF6GXvZI0btwUE7ODGUdguLiHezbt5cpU6Z9peMOlHQpRgcJ2kJcwVavfo8FCxZiMgUB8MEH7zJtWo7SG9u48VPS0zOIjY370mPV15/m8OHyPvftAXbuLGbChAkX3SOrqqokMTHpovbppXv7DVwzZ1/Ri6lc7MJBvT5fFMim5GLExsbx3nvvMGZMIn5+fiQkjGHHjiI0Gl8u8rx5eeh0OnbuLKapyUJSUqwylbKjo4Oioq243R5UKpg9+xrpfQ+jYckeP3r0KNdddx0rV64cjtMLcdUwm2OUeeZdXV243W4aGxuU95uaLMq89UuVmzvjov+I2+02JehcCv1rr9Dxoyt7MZWLXTio18mTJ9BoNCxZspT58/MoLi4CfME8JiaW7OzJdHd3M316LosW5WM2R1NRcYLWVisWSyNLly5n+vTptLW1AVBWtoeUlLEsXpxPevp49u7dM3QXQfQz5D3tzs5OfvWrXzFr1qyhPrUQV53o6GhqaqoZOzaNxsYGUlJSlSDe2mrFZAri1KkqDh8uR6VSERISwqxZc7Db7Urmvcfj4dprfYvD9PS42LLlM1pamklOTiE7e7KyNGtTUxNNTRacTidWawuZmdmMHZtGRcUJDh7cT2CgEYPBQEREJKdOVWKxWNi3by8ZGRPYtm0LTqcTr9dLTs4MwsPDB1xa1s/PD21JMZ7YOLjI2QCjzaUsHOR7v0XpnRsMBtRqNQ6H7554eHgEADqdjtLSXbjdHjo7O0hJSaW1tVV5PzAwEJPJdOZ4TcpwfFSUecjX9Rd9DXlP29/fn7/+9a9ERUUN9amFuOpER8coPeuGhgZiYmLxer309PTQ2NhIdHQ0breb+fPzyM9fRnt7O1ZrCxUVFcTGxrJkyVJyc2fS2el7GEpbWxuzZs0hP3855eWH+pxLrVZhtVqZO3c+CxYsVN7fs2c311+/hLlz51NbW4NKBRMmZGI2R5OdPZnDhw8RERHJ4sX55OTMUJaLHWhpWQDD735Nx3/8Yqgu4bA5e55/ry9bOOhcvriwUEnJTjIyJrB4cT5jx4674OOcKXUBZcTlMuRBW6vVKktACiEuL51Oh1brR0dHB01NFsLDIwgPD6epyUJDQz3R0TFotVo2b95EYWEBra1WHA4H8fHxHD9+jF27duJ2uzGbfUPoYWHhaLVa/P39BzxfREQkKpUKg8G3FGx3dzd+fn7o9Xq0Wm2f+7O9mpqalO3h4eG0t7cp731xaVlVXa1vMZXExMG+VCPOpS4cFBERrnzB6V3v/oufl9PpICgoCLfbTW1tDW63m+DgYGXBH7vdjs1mO3O8SOV4p0/XERERcfkaLb7UiE9ECw01oNUOX7LJ+ebLXQ2k/aO//ePHp+JwtBEaGkhMTCjd3b6h0J6eTsaPT+H111/n9ttvx2AwUFBQQHi4kbCwML797Xuprq6mrKwMtdpJeHgIoaGByjUJCgogMtJEcHAAEREmwAE4iYw04XK5MJn0REaalHIAoaGBhIUZMRqNhIQYiIw0ERJiICLCqJQJDjYo+0VFBeHn56fsF/HEE/CLnw/J5zISPvsVK25l69atVFUdRaVSERsbS05ODgcPHqSoaCMAM2ZMITk5hqqqI4SHG4mPz2Dz5s0UFW3E6/WybNmiPp+Dn58fs2fnUFpaRGBgINdeO4Pt27eTkzOJ5OQ4tm37lJCQEJKT4wkPN7Jw4bV89tlnNDZWo9FoWLhwHoGBgcN8ZS6vkfDZn8uID9pWa+ewnXskTLIfTtL+K6P9Ol0QO3aUYjabsVhsaDSB7N9fjFqt5vRpK3a7g44ON/X1tVRUVBMbm0xXVxdOp5qIiEji41M5dqyKlBQtra2dyjVpb+/CYrHR1tZFU5ONlhY7VmsHFosNl8tFe3sX7e1OLJZWamqa0Gg0HDlSgU5nwulU0dJiw2KxodUaOHDgKFlZATQ2NqJW67BYbMrx/fz8sFo7oMuD8/BR2jKnw2X+XEbSZz9t2pw+r5ua7JjNiZjNn482WCw2Jk703Xdubu5Qfj77/euvv4HW1m6gm/DwOObP/3zGwPXX34DbDRkZk4HP2++7Fe4hJ+dapWxnp4fOzpFxbS6HkfDZy+IqQlzFzOZoNm3aoEwLCggIwOHoJjk5Bb1eT1xcPGvWrCYkJISsrEns3l3C8uWLWbt2vbKIR27uDGXN9IuhUqnOJKutxWg0KcPnwcEhWK1Wdu3aSXb2ZLZt20JhYQEAM2bMHPBY+lf+jmPF1y/xKghxZRjyZUwPHDjAM888Q21tLVqtFrPZzHPPPUdISMiA5WUZ0+Ej7b962z+Yba+sPElMTCw6nY716wvJzp5y8YmoHg8hy66n9aNPQH35U3Gu5s8eru72j4S2j6iedmZmJq+++upQn1YIMUzc7h4+/ngdWq2WsLDwS5o5onvrdVyz5gxJwBZiJJPhcSHEZZWamkZqatpXOob+jZW0vf7OINVIiNFLvrYKIUY07c4dV8ViKkJcCAnaQogRzfD739Dx0yt/MZVLZbfbePXVl7FaP18V7cSJY5w4cewrH/uTT9ZRV1d71rnsvP/+Knp6er503/r608pz58XgkaAthBixVLU14PbgGXPlL6byVYSEhFBaumvQjzt9ei6lpbvpzVfeu7eU7OzJaLXnv7M6xPnNVxW5py2EGLGMT/43nf/2w+GuxogXFhZOT08P9fWn+606d/hwOZWVJ/F6vWeetx1PSUkxCxcuorGxkQ0bPmHFirvwer2sWfMBN954i7JvaGgY4eHhVFQcJyQkDJvNRkpKKuCbFXDo0EHUajVhYeHk5s6grGwPNpuNzs4OsrImKcc5evQIzc1NzJrVd865uHjS0xZCjEydnairKumZfe2XlxVMnTqN0tLdfbbZ7XZOnapkyZKl5Ocvo6qqErVaQ2enb9Eq3xKoYbS2WmlpaSEiIrLfcSdNmsKBA/vZvXsn06blAOByuc6sKb+YJUuWYre3U19/GvA96GTRonxlHfPGxkZOnapkxgx5SNRgkJ62EGJEMvzvszjuvGu4qzFqmExBhIWF93nkaUtLM+3t7crCNT09Ljo6OggJCaWtrZWmJgvjxmVgsVhwu91ER0f3O67BYCAxMQmr1apM12tvbycoyLfELEBUVDTNzb51y3ufFAbQ3d3Nli2byM9frjysRHw1chWFECOPx4P/ls/ovuu+4a7JqDJp0mQOHNiPx/P5PeW4uHgWL85n8eJ8brjhZsxmM2ZzNE1NFtzuHqKjY2hqsmCxNBIV1T9oA5hMJuVRnQPxer1Kz7p3FT0Am60dszma48ePDlILB8flTN4725o1q7HbB3ehFgnaQogRR/fW67hmXyOLqVykgIAAxowZw5EjhwHfve76+tNKtvfOncX09PRgNps5ebKCwEATer2e7u4uuru7MF7gtLrg4GDa29uVpW0bGk736WH3ioyMYtasOVRVVfYJkCPB5Ureu9xkeFwIMeLoX3+VtjdWDXc1RqUJEzKVoG00GgkKCuKnP/0xs2fPITV1LFqtVln7Xav149SpKvz9dQQEGC74HFqtlilTprF+/ceoVKozvXcz9fV1/cpqNBpmzJhNUdF28vOXXeAzuy+/cyXvHTx4kNLSA0riXkpKKuvWfcTNN98G+HrkVquV1NSx7NhRhEbj+2I5b14eOp2OnTuLaWqyEBISgtfrAcBqbRmw7KUY8rXHL5asPT58pP1XRvtttnZKSorp6uoGfPccp0/P4eDB/eh0ejIyxvcpv2HDelasuGXY2q4tLiLgpRexvfC3YTk/XDmfPcCGDZ9gs9nIyJhAenqGsv3sIe0vupLaPxC73UZZ2V6ysyexZctmli5dzokTx7Db7XR3tzNjxjwACgo+4tpr57F9+xZyc2cSEhLKxo2fMnFiFm53D1qtH5GRkZSV7cHfX0dMTAzbtm1l2bIb6Ojo4L333uHmm2/FZrP1Kzt+/IRz1m9ErT0uhBg6Xq+XTZs2kpOTq/QmDh48wLZtW875kJ68vOuGsor9GH7/G+y//v2w1uFK4XA4sFgszJlzLQcPHiA9PYPCwgLCwsLweLzo9Tp0Oj2hoaHs3bsHgLa2VmbPziE+fiy7d5fQ2NiIx+Nh/PjxpKSMZevWzRgMBlpbW7HZ2rnmmnmEh4eza9dOJaEtPT2DtLRxw9z6L/fF5D0/P38aGtr6Je6NGZNEdXU1JlMQ7e1tREVF0dLSTGnpLtxuD52dHaSk+J5T33ubIDAwUMkD0Ol0/cpeKgnaQlzB6upqCQ4O7jP8N3FiJu+/vwqdTkdXVxcbNnxCW1sbubkziYuL5623XufBB/8Vq7WF4uIdqFQq/Py0zJkz95KH9C6UuqYaPF5ZTGWQVFaeJCFhDHFx8RQVbaOjowOA4OAQxo1Lp6zMF6jN5mgWL86ns7OTjz8uYPz48Rw/Xo3V2kJ+/jJ6enr48MP3SUhIRKVS4fF4yMu7jiNHDp+Zwx1CQIBBKfvee++MiqANvuS99es/VkacEhISGD9+Sp8yRqORLVs+IzQ0lJgY33PIS0p2MnFiJvHxCezfvw+Pxw0w4OjFucpeCsnyEOIK1tbWRmhoWL/twcEhtLW10d3dTV7e9eTmzuTo0SN9ypSUFDN16nQWL87HbI6hvPzgZa9v4JP/TecjP7rs57lanDxZQXJyCiqVisTEZKqqKgEGTBoD2LFjO5MnT0Wv19PU1ER0dCzgu4cdFBREe3s7AFFRZsDXm3Q6nWg0GpxOB+vWreXTTz/B4XBc/sYNkrOT93p6XNTV1fVL3AsMDAR81zMxMQkAp9NBUFAQbreb2toa3G43wcHBtLT4pr7Z7XZsNts5y14q6WkLcQXzer1KMswXqVSf//E1GAy4XM4+77e2tirzcqOizOzfX3Z5K9vRgbr6FD2zrrm857lK2O12mpub2LVrJ6DC7e7Bz88frVaLWt2/N1hRcQKVSkVSUvI5j9nbifzinOv6+tPU19ezeLFvUZU33lg5mE257HqT9wIDA4mJyVaGx8eMGaMs2Rofn8Dhw4e45pq5AGRkTGDTpg0YDAYmTJhISUkxyckphIaGsnbtGoKDgwkLC8fr9Z6nbP8v1F9GgrYQV7DQ0FAlk7iX1+ultdVKTExcnz++X5aSermzfq+2xVTsdhubNm0kNDSUxMQkHI5urFYrEyZksm/fXmbOnH1Rx9u5s5gJEyZgNPruo1ZWniQ9PYPp03OVMu+99w5dXZ399u3u7mbfvr0sWpSvbIuIiGT//r1kZmbhcrnOLKgSPOC5HQ4HRqMRtVqtLJnq8XhG7IIqRqOJOXM+X2nPz8+Pr33t64AvCSwyMqHfPpmZWWRmZimv09LG9bkFMObMLZ2BPjeTKWjAspdiZF5RIcSgiI6OwW63UVNTrWw7dOggERGRBAToz7tvaGgojY2NgK8nFR4efvkq6vHgv3Uz3V+/9/KdY5QwGAwXHbABcnNnKAEbfEO5qalj+5RJTR1Ld3d3v32PHTuCy+Viy5bPKCwsoKysDLPZTGhoGAUFH/HJJ4VMmTLtnA8KiYmJxWazsW7dWux2OwkJYyguLrroNogvJz1tIa5garWaBQuuo6SkmH37yvB6vYSHRzBr1hwOHtx/3n2nT89VEtF0Oh2zZ1++YWvdm6/hmnOtLKbC5z3w5ctvZN26tcTFxdHY2EBnZycLFlyH0WgcMKu7sLCA3NwZeDxeiouL8PPzo6SkmLlzF6DX+76gZWdPJjt7snKuSZM+T7g6+wEfvVO+etcaP9vZPdT4+ATi43290qVLlw/6tRD9SdAW4gpnNBpZsGBhv+1n/8EODQ1j8WLf0OiKFXcp25YsWTokddS/sZK2N98dknONJiqVCq3Wj4ULF7F7dwnV1acICwsbMKu714kTx0lPTyc1NY26ulq6ujqVoC1GP/laK4aM3W7jlVdewmKx9Nn+0Ucfsm3bFjZv3qRkbQ6l3oxaMTy0O7bjiU+AMxm6oi+zuTdT24jT6ThvVjdAfHw8+/aVsXdvKXq9/pKSncTIJUFbDCmTyURV1Unltd1ux+n0TQ+ZO3f+Oe+ZXS52u63PU5HE0DP877N0/Mfjw12NEetCEgDPLhIbG8fSpTdgMpnYsuWzPvkMYvST4XEBwOrV77FgwUJMpiAAPvjgXRYtWkBAQCgAGzd+SkNDPbffvuIrBdaIiEhOnz6tvK6qqiQmJg63u4dVq97mxhtv4eDB/bhcLo4ePUJnZydLly4nLi6ed9/9J+np46mrq8Hl6uH66xej0WgoLi7CZmvH7fYwZcpUoqNj2L9/H6dOVeH1eomPj2fy5KnU15+mtHQ3arWawMBAZs++hp07d2CxWNi3by+pqWls27YZAI/Hy0035QMjY53kK5W6phq8spjKxfiyrO7Dh8uJj48nNTWNrq5uWlqalfvOYvSToC0AMJtjaGhowGQKoqurC7fbTX19PcnJvqDd1GT5ygEbfIlRYWFhWCwWIiMjqa2tZsKEzD5D1CqVio6ODu6++z5qa2s4evQIcXHxeL1egoKCmDhxCZ99tpHTp+vo6XEREBDArFlz6O7u5pNP1nHDDTdz6NAB7rjjTtRqNeXlh/B6vezYsZ3rrluM0WikuHgHJ09WMGFCJocPl5OdPZmmpiYmTswiLi6eEyeOcejQIVJTJ36l9orzC3zil3Q+8u/DXY1RxWw2U1Pjy+r2er39srqDgoLYuHED/v7+qFQwe/a15zmaGG0kaAsAoqOjqampZuzYNBobG0hJSaWhoYHk5PG0tloxmYL44IN3ufHGW7BYGtmzpxSVSkVAQABz586nq6uLHTu20dPjxmg0Mnv2NXR1dVFUtBW324NK5ctc9Xq9HDlSzsmTFRiNJioqjpOVNYn29jb27t2DXq+npqaa3NxZlJXtweFw0NbWSmFhAceOHUWj0VJTU01gYCAul5Pm5hbq6+toaGgAwO124/F4SEgYw/r1hSQlpZCSkorT6USlUimPHjSbzTQ2NvZ5FKFer2P//jIOHNiP0+kgJUV6J5dVRwfqmmp6LmF605XAaDSxfPmNA77Xu703ORDo82CXgbK6e8uGhvqGyMWVSYK2AHzzeXufLdvQ0EBiYiIVFW309PTQ2NhIdHQ0J04cB3zDb9On52A2R1NZeZKuri727dtLevp4EhLGsHt3Cc3NzRw7doSUlLGkpKRSVVXJ/v1lGAyBaLV+aDRa0tMzsFqbaWtrpa6ulpiYGBYtyuezzzbgcjnPWudaRXNzE4mJieTnL+PDD98nLi5eqXtmZna/Bfhnz74Gq7WFqqpK1q79kMWL+2ZBD/Rwu7KyvcTGxpGensHJkxV0dloH8QqLLzL8/jd0f/2e4a6GEKOKJKIJwPcUGq3Wj46ODpqaLISHRxAZGUlTk4WGhvo+D5xITExkx47t7N9fRnh4OEajkebmJiIjfUteTpuWQ2RkJM3NTcTE+LJco6LMWK1W5Vxjxozh+PGjJCQk4nK5iIiI4tSpU5SV7UGn0/VbeclkCsLfX4darUavD1CyzCMiIqiuPgVAV1cXe/bsxul0sm/fXkJDw5g8eSoajQaPx7eUp91uB6ChoZ6IiPAzDz/wrQPscHQrT+U5dapK2WcgdruNN95YSWFhAYWFBXz00YdDnoW+atXbuFyur3ycEyeOcepU1SDU6CJ4PPhv24LjzruH9rxCjHLS0xaK6OhoTp+uQ61Wo9VqiY6O5uTJWlpamomIiFTKpaamERMTR3X1KT7+eJ0yB/jLHs3emwXre3iBb9lGtVqD1+slIiKCyZOnYDSa2L59C5MmTe3z6MgvZtD2nispKZmGhnoKCj7C4/EwefIU/P396e528OGHH6DVaomJicVoNDJz5mw2b96EWq0mKCiIpKQUnE4nVquVXbt2Mm5cBiUlxQQEBDBxYhYHD5YSHl57zqFGkylIGZJ0Op3KCMBQZ8B/VampaUN+Tt0bK3HKYipCXLTR9ddFXFa9Wde980Kjo6PZsqUYvT6gTyDat28vGRkTzgxvW2lttRIeHkFDQz1JScns3VtKVJT5TKZ4HSkpqZw+XUd8fAKzZs3hrbdeV1ZS2rRpA1FRZvz9dUyaNBmj0URPTw8ej/tM4lkwEyZMZNOmjdx229eUOkydOk1ZsnHWrDn92pKbO6PfNrM5ut+qTXq9vs9xz86ynTx5PBaL7YKunb+/PwEBBpqbmzl4cB89PT2o1WpmzpxDYGAg77+/isTEJBobG/Hz05KXdz3Hjx+jqcly5otDC5mZ2Ywdm9Yv8z0iIpLKypPKgwqKirYp9XQ4HHz00Wpuvvk2wNdrtlqtpKaOZceOIjQaX1CcNy8Pf3//Aeuxb99edDo948als337Vux2O0ajP0lJ6f2yjm22dkpKiunq8i2FGR4ewfTpORf9RUX/5muymIoQl0C+5gqF2RxNc3OT8uSngIAAHI5uoqOj+5QLDAyksHAthYUFdHbaiY8fQ3b2ZI4dO8K6dWtpb28nOjqG7OzJVFQcp7CwgIqK432WT/yi3ozXwsIC6upqSEkZe86yI5HdbsPh6Kai4jjjx09k0aJ8MjImcODAPlQqFTabjeTkFJYsWYrD4QvSarUKq9XK3LnzWbBgIeXlhwA4dOgA+fnLWL78RnQ6PXFx8TQ1WXC7fV9kGhsblHv6Op0Og8FAa6vv1sOpU6cYMyaJ7u5upk/PZdGifMzmaOUJTgPVo5fD4SAqysySJUu57rrr2Lt3T582er1eNm3ayIQJmSxbdgPLlvnmAm/btqVPmS+jLdomi6n8f/bOOyyu69rb7/RhmIGhDB3RhEAIUEe9od7cZMstegCJJQAAIABJREFULvkSO7HjxIlvyr1x4hI5UdwSO07iJPcmvi6JY1/bslVQl7AaEqCCKmr03ssA08/3x4gjEE1IICRx3ufheeb0veccZp299lrrJyFxjUgjbQkRtVrNI4883mld+wgOEEekMTGxXVyqarWahQuXdFrn6enJggWLu1ynvUwmwNy5qeLnK93QHctsdoyy7Sni9kbT3NwkSvjJ5TJmzJjNoUMHaGxsFOt8t5ePVKvVYmUqtwymey7a39+ETCZDp/MUpTGvjHyXyWSEhoZRUlKMh4eOwMCgTupJI0ZEUlxcjMHgRVNTIwEBAdTV1XLkSDZOp4vW1hYxUK+ndrRvq6urY8uWNLy93S9sHSkrK8Xb27tTfMOYMYl8+eXn7NixFb3egNVqZdasOd3mzuflXeTUqRMEvP07+MFz+F04T3R0DBkZ+2lubhanN0JCQnusuS0hMdyRjLaExDXScU67I7NmzcHzilFkT3PyHXWN29ddGfl+xx13ExMzklOnTuLp6UlUVHSnc4WHj2Dv3q/x8fEhONj94pOVlcmYMYmEhYVz4sRxMdiup3aAWxXKarWwZMky9Hol77//r077NjY2dlsS09vbSF1dLb6+fkydOp28vAvd5s4fPXqYlcnjMPr68qHdhr8M8vMvolAoWLJkGa2trWzdmsbdd9/bbc3t0aMTurkLEhLDC8loS0gMIP7+JkpKiomLi6eiopzW1tYu6Wi9YbPZyM09TXLyOHx8fCkqKqStrQ1fXz9aWlqwWNqYMGFSp2PaXxDy8/MYNSr+0nmseHl54XQ6KS0tISAgoM9rW61WMXo+Ly+vS/S8IAgIQvcR9QaDAT8/fwBqamq75M63tbWhUqnw+91rtD33U4Kc7peI2to6ceSu0+mQy+VYre6yth1rbl856peQGK5IRltCYgAZO3Y8Bw7sJT8/D5lMxowZ/ZOz7CnyHSAkJKTHFK+wsHByc0+LwWrx8Qmkp+9Cp9ORkDCGrKxDXUboVxIREcnu3Tuoqqpi6tQJ6PUGTpzIESUbfXx8OHs2t9MxgiDQ0FCPt7c3CoVCXH9l7rzFYgGLRSymIjuwr8d2dMwykJCQ6IxktCUkroGeqlnpdLp+zeO3o1KpxJiB7iLfASoqypnaoXpYx6j3xMQkEhOTxOXY2FHExo4Sl0dcqu3dXTs6zlGvXHkX4NZTNho7ByAGBQVz+HAWJSXFYlT56dOn8Pc3dZpjb8+dj46Ooa2tjdzc04wbNwG+Wkfj6gdwOBxUVlYQGBiIv78f5eVlREZGiTn0arW62/5LSEhIRltC4qbHbDazZ086I0ZEdCk6cyORy+XMm7eArKxDYqCdn58/06bN4NChDHG/7nLnZYLApNIS1hu80e9JFwPwIiOjKS8vZ8uWNARB6PRSIiEh0RWZcDU5GkPI1ebJDgYmk2FIrz/USP0fvv0f6L5rP3qfwuM5GNesRaPRsGPHVpKTx1/VXPtQMJzvPQzv/t8MfTeZDD1uk0baEhISg47mk39h/s3rZG7bglKpxNfX76Y12BISNzOS0ZaQkBhUlBn7cIWPICYpmZik5KFujoTELY1ktCUkJAYV3Vtv0vy7d4a6GTcN2dmZ1NbWYrG0YbfbL4nhqMUa/hISvSEZbQkJiUFDXlgIMhlCBynV4c6kSSnA5Trx7csSEleDZLQlJCQGDc+1v6L1uZ8OdTNuCY4cyaa6uhqXy8Xo0QmEh48gLW0j8+cvRKvVsmnTBubNm09TUyPHjh1FoVCg0WiYPXsuDoeDPXt243A4cTqdpKRMxWQy9X1RiVsOyWhLSEgMDmYz8tISHClTh7olNz0VFeW0tbWxePFSHA4HmzatZ8SICCZNmszRo4fx8fElKioavV5PTU01M2fOwsvLm717v6a8vAy73Y6np55p02bQ1NRIU1PTUHdJYpCQjLaEhMSg4Pm717A8/OhQN+OWoKamhqqqSlGABqC1tZXg4BAuXDhPQUE+S5YsA9zKbgcPHkAQ3KI1oaGhBAQEcezYEQ4ezGDEiBFdJFUlbh8koy0hITHwuFyoMvbR8ouXhroltwwjR44iqZvoepvNisvlwuFwoFar2b9/LwsXLsbb20hGxn4A9Ho9K1feRXl5GadOnaCysoLx4yfe6C5I3AAkPW0JCYkBR/uvD7DNmgty6SfmajCZTJSWliAIAg6Hg8zMQwDk5V3Ax8eXhIQxHD16BACHw4Gnpx6LxUJlZQUul0BZWSmVlRWEhYUzduwEamtrhrI7EoOINNKWkJAYcDT//heNn3451M24ZQgMDCIgIIDNmzchCALx8fHYbDZOnTrJkiXLUalUnDt3ltraWuLi4tm8eRN6vZ6kpGROnDjOjBmzyc7OJCfnGIIgMGGCNMq+XZGMtoSERJ+Yzc1s2PAVvr5+OJ1O5HI5Y8eOIzg4pMu+ygN7SffwwFRXS5hONwStvTWIiYnttHyl5CpcFnABxDltPz+/Tq7v9vMsXbp8MJopcZMhGW0JCYmrwmDwYvHipYA7AGrXrh2kpi7AYPDqtJ/urd/R9o3HBq0dgiBIsp39xHdiIvLyMuggn+ryN2FbvJSW519EuOIeSty8SEZbQkKi3xgMXiQmJnH69Gm8vb0pKMhHEASi1GpSFHIEf3eOsM1mY9++r7HbHTidTiZPnkJDQz0Wi+WSazeH6upqUlMXUFVVxfnzZ0lIGMPBgxkoFO758DlzUrHbbezduwetVsvIkbGo1RqOHj2MXC4TU53k0vx5r5jXrMXyre+Iy4oL5zF891vof/JDmv/yjyFsmUR/kJ5yCYnbCPcIeDubNm1g06YNHDyYgcPhYP/+vZSUFHfat7t1Hdm6dTP19XU9bvf19aOxsZ6iogKWLFnG0qXLqXj7Taqe+r64j8XSRlRUDIsXL2XChImcOnWCwMBAamqqAaitrQXcQoPV1VUEBQVhsViYNCmFRYuWEhgYRF7eRQDq6+uYPn0m4eEjyMo6xLx581m0aCkajYaCgvxr/cqGLc6RsbQ++x9otqSBy4W8uAivh+7FL3YE+Pjg9egDyCsr3Dvb7ZgCvNB+9D7GpfPxjwzGuGQeinNnxfMpcs/gffdy/CMC8Z0wBs9f/hdYLEPUu9sXaaQtIXGbIAgC6em7mTw5haCgYABOnTrJ/v17USoH51+9oqICnU7nzi+2tKKsqaExbjRcOAeARqOlpKSYs2dzcTqdKJVKvLy8aWlpAcDlcuLl5U1TUyPV1VVMmpSCzWblyJFsnE4Xra0tREfHAGAwGNBoNFitVpqaGklP3wW4o6m1Wo9B6d/tjsxmvfRBhuG57yN4eVObk4vJqEW2fCWeLz5P81/+DioVAB7//S6N7/0TV2AQhueewetbj1C/NxPsdrwfuZ+2Rx6n8d9fIK+uwuub38DzzVdpef7FIezh7YdktCUkBhCzuZn09N2sWHEHAEVFhZw+fYqFCxej6DCfOBiUlZXi7e0tGmyAMWMS+fLLz9Hr9QC4XC527txGUtJYcZ/uXNjter4FBflkZR2ioaEBudzd/sOHs6iqqqKkpBiHw0Fs7CicTie+X35BzYJFZGdn0tLSQmFhAfX1dUyePIUpU6axceN6jh/Pwel0IgguSktL8PLyxt/fRHV1FRaLBb1ez9atexkzJpGwsHBOnDiOy+UEQCa77Bj08PAQ59clrgFBQJF7Bt1bb2C55z6QyWj84N/ubR4e4G3Atmgp2g86u80tq1bjuvQS1fb0D/BZOAd5cRHK06eQtbbS9oPnAHCFhdP67H+g//lPJKM9wEjucQmJQaK+vo6cnKPMnZs66AYboLGxER8f3y7rvb2NNDY2ApCVlUlERFQnw96dC7sdDw8dixYtJTQ0lJqaaiorK6ivr2PWrNn4+Pjg4aGltLQYl8OB+tRxtMtXolQqaWtrZfbsuYAMp9OJxdKGSqVk3LjxTJgwkaamJs6cOYXJFIDJFEB+fh7e3t6Au5iIl5cXTqeT0tISnE5np/5oNBpkMpnouj9z5rT42Wxu5oMP3qO6urrTMZs2bWD//r3s2ZOOw+G47u+6L+rqajl27MigX6c/6H/5X/iHm9x/oX4Yly/Etmgp5rVvAKA6nIXx3jvc7nGtFs81LyCz2TqdwxkVc/lzqLvqmry8HEX+RWQ11ZfPH27C66lvIa+tgSvOIXF9SCNtCYlBwGKxsG/fXmbPnotWq6W+vq5LcJVarebLLz8nIiKSqqoqVColqakLqaur49ChDORyOXK5jNmz5+F0Otm/fw8ALpfAjBkzMRi8yMw8RG1tDQ6HA4VCQVhY92paBoOBixcv4HQ6mTKlcy3w7lzY7QQEBABu493U1Mj69V8iCAJ2u4MZM2Zx+vRJ9HovDv7x95SGhpGo02F3OPDyckcjR0fHcObMaWpra7HZ7Bw+nEVZWQk+Pr6UlZUxffosdDodjY2Nohs8Pj6B9PRd6HQ6EhLGkJV1iKio6E5tnjZtJhkZB5DL5eh0OkaNiuvU18LCfFEww2w2Y7vkBna/SAwugiDg6+uHr6/foF+rP3QMRFMd2If3A/dgeeBh0GiQNTfh9dhDWB58mIZP1mGKCqblN6/h8Zc/dT6J4Orw2R2LgFYDcjnOmJHUHzh8g3ozfJGMtoTEACMILr7+ejeRkVF4exsBxOAqk8lETs5R8vIuMnp0As3NzURFRTNhwiTS0jZSX1/HxYsXiIuLIyYmlrKyUtraWnE6XYwZk0RoaBgXL57n7NlckpLGUlJSxD333HfJqO+9FNjVsS0CDQ31eHt7IwgCZnMzTU2NeHl5i/ucOXMKnU7HrFlzqK6u5siRbHFbe2qVTufJ4sVLUSpVCIJAYmISAKdPnyQ2NhZNYQH+f/+QsNhR7N+/l8mTpxAWFk5hYQFJScnU1FTjdDpZteo+8Rr33HOfeJ1Vq1aLn2NjRxEbO0pcHjEiAkCccgAIDAxk2bIV3X7//v4mysvLxeXCwgKCg0NxOh18/vmn3HHH3VRXV3H06BFkMhkeHh7Mnj2XysoKcV1wsB/JySlYLBYyMvbhdLqQyWD69JkAnaZANm5cz9y587h48QLNzc20traQlDSWs2dzmTs3tc/npd+4XMgrK3B1kyN/tdinz8R61yoMzz5Nw8ZtKC6cR97cRNv3noVLUymKUye7HKfoEPCnKHUHMTqDQpBHRaMoKUbW3CSmj8ka6kEuR+jwrElcP5J7XEJigGlqaiIiIpILF86JAVcajYacnCNs3bqZvLyL4shPrVaLLm2dTofdbicsLIzjx3M4duwIWq0WHx9ftFoN586dZevWzZw+fQqr1YpGo8FgMLB7904KC/OZOnU6ZnNzp4jw06dP4e9vQqNxp0qlpEzlwIH9CO2jJMBqtYm51oWF+bhcHUZTV+Dvb6KiogwAu91OU1MTvieOIwQFu+dCe6A/17he5HI5vr6+oou8tLS4iwciN/cMkyZNZtmyFURFRdPW1tZp3ciRI2lrayMn5yjR0SNZvHgpcXGjOXbsaK/XdrlcLFq0dHDzyO12jIvmYpw3A8OT38Tjtd+g2r8H7PZ+ncb80iso8i/i8d/v4goOQZDLUWYdAocD3n0X5dlcZA0N0NYmHqP99GMU589BSwse776DfVIKQkAAtnkLcAUE4fnSL5A1NyGrqcHw9BPofy7Jsg40ktGWkBhgvL2NxMePZvz4iezbtwdBEMjKyiQ+PoHFi5cycuTlUeSVP+6CIBASEsqyZSsxGAzs3fs1JSXF5OQcIyQklMWLl5KYeFlUYuHCJSQmJlNdXcOOHduYN28B58+fIy1tI5s2baC5uZlp02aI+wcFBWM0GsnNPSOuGzkyljNnTrF162YCA4OwWNo4d+5ct30LDAzEx8eXzZs3sX37VsaPn4jXn/7QZzGV7q5x8eL5fn2v/SEiIpKCgjxaWlpQqdRdoucjIiI4ePAAJ07k4Ofnh16v77TO398fvV5PbW2NWPUtICCw1xQ4AD8//0Hrk4hGg8vHB9WpE2i//Bz9G7/F++4V+E4dh9fqu/H8+U/R/vN9ZDW91x8XfP0wv/gKnmvXgMVCy4uvYPjZc/iNiYHz52l67yMEHx98Z6WIx1gefgzDM0/iPyYGRVERzX/8i3uDUknjBx+jyLuIX2IsvjMmIvj5Y/7tG4P5TQxLJPe4hMQgERkZRVlZKTk5R7sEV7XPFXdHbu4ZwsLCiImJpa3NQl1dLVarBYPBHdFdVFSIXC6/NKouIT5+NP7+/nz66cd4enoyb978LuecMWOW+Hnq1Oldtt955z3i5/DwEZhMBnx8LgerxcePFj9PnDhZ/CwvyAeFnOl33N3ttTp+vvIag0lISChHjx5BrzcQERHRZXtMTCzBwaEUFxexbdsW5s2b32ndxo0bmTix6/cEskt/l+notbgRAYcAwhUvBzJAUVyMorgY0ncCoJn6Lxo//Qq0WuoOd3V1A1gfeBjrAw8D0PbUM7Q99QwAJpMBV3UzddknOu3vjImhYWt6t+dyJoyhcd2m6+iVxNXQ50j7jTe6vim98MILg9IYCYmBwmxu5sMP/7fTyOjixfM9ju76KjTSHyoqysnOzgRg8uQpFBYWiMFVu3fvICFhDPn5eT2O2ry8vNi9exdbt26mrKyE6OiRjBoVT1bWIbZt28zIkbFUVlbQ1NREVVUlGzeuZ/PmTSQmJt/w8p6ea9fQ+h8/u6HXvBraXeQXLpwjLKzrC8Lx48dQKpXExcUTGhpOQ0N9p3UjRoygoaH+0vy4ezqgvLwMf39/1Gq1OL1hs9kwm5tvaN8AXH49B7m5jD60/OjHNK5LA632BrZK4kbQ40h7+/btbNu2jYyMDKqqqsT1FouFo0d7n9eRkLgZMBqNHDmSzfz5i677XFdb71qvNzBvXir19fUAqFQqcYTZXXDV/fc/JK7rGLQUEhJ6xXn1hIWFi8v33nt/t/vdUMzNyMtKcUxK6XvfISAiIhKr1YJare6yzdPTk61b01CrNahUSsLCJlJcXCiu8/f3IilpNIGBwWRk7OP8+XMoFHKmTZuJWq0mKCiYnTu3odd74e1t7DTaHnDsdpRZh1Dv/RrV4SxkjY3Q1tr9rknJmF/8NY7ZcwavPRJDikzo4WmzWCycOnWKX/ziFzz55JOXD5DJSE5OJjo6urvDBpzq6hv/FtuOyWQY0usPNbdy/83mZnJyjuFwOIiLiycoKFgcZdvtDrFWdkREJAkJY9i/fy8KhYLW1hZaWlqYPn0WoaF+rFu3Sax3bbfbyc09g0wmw2g0Mm3aDMxmM/v2tadiuZg1azZVVZXU19czaVIKR45ko1QqiY9P6KaAiWkov6JeuZp77/nyL3HEj8ba4cXjdmEon315eRnqbVtQZR5EkZ8HgDMiAvukKdgWLcEVPgKP13+D/vXfiscIKhXWO++h+bXfgd5w3W24lf/3r5eboe/txY26o8eRtlarZeLEiXz55ZdoNBoEQRjct0kJiUFgwoSJ7N27R0wPMpvNVFZWiDKHmzdvEke9ICM1dSElJcWcOJFDaGgq9fV1rFq1Go1Gw/nz55g7N1Us21lfX0dZWRkhISEkJ4+jpqaG1tbLkbYFBfm0tLQwa9YcmpoaiYqKISoqmoqKck6dOtFnOtCV1dV6Iz19F/Hxo2lpMaNSqTv0aZBwOlEdPEDLC78a3Ovc7litqA7uR7V/L6ojh5E1NyMYDNgnTMSy+gHsU2eARtPlMMH/ckyEMyyclh/+BOujj9+QJpvNzXzxxWcsXbqi04vnpk0bMBqNOJ1Opk+f2W3p3Jyco2g02k4xEoCoGCfRN30Gor3//vv89a9/pbXV7Y5pdxOeOXOmjyMlJIYeg8ELX18/8i+NWFQqNU1NTe5a2YDDYRfTsoKCggB3WlN7rnJ7vWsApVLJnj3pyGQyGhrqsVqthISEsHv3Tmw2G+HhEQQGBmI2N9HY2EBRUaHoGu+tgMlAcqVG82Ch/eh9bHPmgSSR2S/kRYXuUXR2JorCApDJcETH4Jg8heZvPnHVudeOS0bPNmsOza/+DtfIG3Pf2xnoAjaSwb56+vzl+Pzzz9m4cSPBwcF97SohcVMyduw4duzYJr7dh4aGdUqDArhw4XKKU8f56/Z6106nk8zMg6xceRc6nY6dO7cB4OPjy8qVd1FaWkJ2diYjR8aiVCowm80YjUYKC/OJjh7ZawGTvjh27Ah2ux2z2UxDQz0pKVMJDQ3j5MkTFBTk4+XlJf5gto9kRo2K48CBfZjNZpxOJ2PHjiMsLJx9+/ag0+loaGigubmJmTPn4OfnR3Z2JtXV7gIocXHxmEwTe22T5v/+TeOnX151H4YlFguqfXtQH9iH8tgRZC0tCEYj9gmTaHv0cRyTp4pCHP3FOTqB1iefouXl33TSyL5RXE0BG6vVysGD+3E4nOj1erEwTUNDPbt2baexsVF8lj/55F/cf/9DVFSUk5l5EJ1Oh4+PLwqFguTkcf16lm93+jTaUVFRksGWuKXx8PBgxIgRnD2by4gRI6ioKMfhcKBUKsnMPMSECW4DVVlZSWRkFLW1NZ0qhoG7kEh7yczm5iZqa2txuVzk5+dhMHgRGRkFuEU7AgMDCQ0NIzExma1b0wgODsVqteHj4wP0v7iITCajpaWFefPmU1pawrlzZzGZAjh3Lpc777wHl8vFunWfdTrGarUSEBDIzJmzRTd7WFg4MpkMl8tFauoCzp7NJS/vAkajEQ8PHUuXLsfhcLBu3WdMn96z0Vbu+RpnVDTodFfdh9seQUBekI9m+xaUWYdQlJQgyOU4R8biSJlC63efQeglza/flzP60PLKqwN2vv7SsYCNyWSitLSYhIRECgsLxH2OHz9GXNxowsNHcPhwllitz2KxkJq6UHyWQ0MvF745fDibWbPmYDT6sHnzJkJDQ/v1LEtGG4iLi+NHP/oRU6ZM6eTSu/feewe1YRIDQ3/mRW9nEhISOXs2F09PTxISEkX3+IgRI1AqlWK8xq5d22lpaWXmzFmdjtdqtYSGhrFx43qMRiNJSWM5fDiLqVNncOhQhpifm5IyRUzl0mq1JCeP4+DBAyQnj2Pfvq/Jz88jIWEMxcVFXLx4/qrd2QEBgUB71TQbTU1NGI1GFAoFCoWiy4+VWq2mrq6OLVvSALBaLV3O5enpSU1NNQqFApvNypYtachkMqxWa69t0b3ze5r/8OeravdtS0sLqq93oz54AOXxY8ja2nD5+uKYOJnWJ5/GOX4iDNIUyM1CewEbnU7XbQGb2toaJkyYBFzO7S8rK+nyLHekpcUsVggMDXVnRvTnWR4O9PlUlZeXo9VqycnJ6bReMtoSNzN6vaFTYQ+VSsXq1Q+Ky3Fx8Z32nzlzdpdzGAyGTi877e69dkaPTgBg+fKVndZ3FIqIiooWxS6up7iIXH65pEJ38aBXBonm5+dhtVpYsmQZbW1tpKVt6PZc4M4rr6ioYPFid/nNjz/+qOd25OeBSolwHXWvbzkEAfm5s2h2bkOZlYmivAxBqcQZF489ZSqtz/4HwjAY4V1JXwVsoOtzCb0/yx33l8lkCILQr2d5ONCn0X7ttddwOBxUV1dLbvJbmJaWli7CB0ePHiE+PgGTycSOHVsJDg5lzJhETpzIuaS85MX+/VmdUpwkbg4MBgONjY24XC6cTmcXoRCr1SpWUCssLOjVHW+1WtHr9cjlcjEVrqf9PdeuofW527uetMzcDOlb8Ny+C+WJE8isFlwBAe5R9LPP4UwaOyTzyDcbHQvYLF68jLq6zs+gn58/lZUVREZGcezYEXFU3Bvu350GvL2NlJWVERwc3K9neTjQp9Hes2cPL774Ilqtls2bN/PKK68wZcoUFi5ceCPaJzFAtAsfREfHUFhYwLFjRwkKCqamphp/f3/kcjm1te5axdXVVaSkTMNqbeyS4tSdXrPEjUej0RATM5K0tI0YDAb8/TuXtYyIiGT37h1UVVUxatQo9HoDJ07kdHuu4OAQTp06yZYtaYSFhRMePoJ9+/YxevT4zjuam5FXlN+0xVSuCZcLxelTqHftQJWdibyyAkGthonjsU+YROtP/gvB6DPUrbxp6a2ATXLyODIy9pGbewadTkdy8jiqq6u6Octlxo2bQHr6Ljw9PTEafZDJZP16locDPRZXaefBBx/kT3/6E88++ywffvghDQ0NfPvb3+azzz7r7bABQyqucn20z2kLgosFCxbj4eFBW1sbO3ZsZc6ceRw7dpTExCQKCvJpaGggNXUBmzZtYPnylTQ1VXHgQLaY4jRnzjyCgoaPt+V2uP/XSnd993zpFzgSErGufmCIWnX9yBrqUe3cjjrzIIrTp5DZ7bgCArFPSsGWugBnwhiQy4f1vYehe/bLykrx8vJCrzdw8OABAgICRZ31G8XNcO+vqbhKOxqNBl/fy6Mro9GIVqpnexsgw8vLm5aWFqqrqwkICMRud1BWVoqPj88lfeb9zJmzuFOKk8QwxelEdSiDlhfXDHVLrh6XC8XxY2h270R5OAt5dTWCVosjMQnbjFnYf/kywgBUD5MYWNLTd6NUKvHw8BCzMiQu06fRVqvVZGe7c0obGxtJS0sTi01I3Dq0Cx9ER8eIwgfgjrosLi5k5sw52GxWTp8+SXR0TI8pThLDE+2H/4ttbupNXUxFVleLevtWd/nPs7nIHA6cIaE4Jqdg/uWvcI2Ku6nbL+EObhvSevq3AH0a7RdeeIE1a9aQm5vLwoULmThxIr/6lVS68FajfX6po/ABQGBgELm5p9FqtZhMAezbt5dp02ai1WoJDw/vkuIUFBQ8LCM2hzuazz6h8bP1Q92MyzgcKI4eRvP1bvcouq4OQafDkTQW6/xF2H+1Fjw9h7qVEhIDTp9z2kONNKfdPWZzM+vWfc6KFXeIwWHtghjXW8ry4sXz1NfXs3TpfLH/W7duJiVlyg0JRGuvqKTqUC2qtLQEs9ncJVVrMLmZ7/9g07Hvyj3paD/7N+Y//GUt9oXEAAAgAElEQVTI2iOrqkKzfTPKrEyU58+By4UzLBzH5BSsC5fgiowa0FH0cL73MLz7fzP0/brmtDMyMvjoo49obGzslEP3z3/+c2BaJ3HNDKT05M1Ox6pJ7VytXKbE9eH5zu9peucGGux2Kco96aiOHkbW0IDg6Ylj3HisK+7EPGMWeHjcuPZISNxE9Gm0X3rpJZ566ilCQoZRMYVbBF9fPxwOBxUV5V2iunNzz3SSnwwLCyMr6xDz5y+iqqqKXbu2c//9DyEIAhs3fsUdd9x9Vde02WzdSkxu2ZJGSEgI5eXlqFRKQkLCyMu7iFarJTV1AceOHaG1tZXW1hZaW1uZNCmFkJBQMjMPUVtbI0pojhoVJ7a/tLQEl8vFwoWLKSoqoL6+nvj40ezdu0eUy1SrNRw9ehi5XIanp55p02ZI7vsBRJ6fh6BWIwxi1kC7FKUy6xDKvIsgCDgjIrFPSqH59bdwDbZimYTELUSfRjs0NJS77rrrRrRF4hq4UnoS3Io7RUUFXeQn25Xaqqur8PX1paGhHqfThb9/V13ngoJ8NmzYQGOjW2qyvTSnxdLWrcSkTCbDw0PH4sVL+eqrL1AqlSxbtoKvvvoCs9mMTCbDYmljwYLFNDTUs2/fXvz8/CkpKeKee+7D6XRy/vxl0Q4fHx+SkpLZsyed8vKyTm3rKJe5ceN6Fi5cjEajITs7k4KC/BueInI7M+DFVGw2VBn73FKUR48ga25C0LulKK33rsY8bWa3UpQSEhJu+jTac+bM4eOPP2bKlCmd5hjDw8MHtWESV8eV0pMAdXW13cpPGo0+NDY2UFNTzahR8aKqU7skZUciI6O6zGlD7xKT7fWvtVoPMU1Qq/XA4bADEBDgvo7R6ENrawsajQaDwcDu3TuJiIhgZAd5wd7qE7fLZVqtVpqaGklP33Wpnw60WsltOmC0F1O5VDf6WpAXFbojurMPXZaijLokRfn4t3FJkcISEv2iT6P93nvvIZfL+e///m9xnUwmY+fOnYPaMImrp6P0pFzunuPtTn6y3WA7nQ6CgoI5ciQbh8MhFvW/GnqTmOw4v9zxc2+xjgsXLqG6upq8vIvk5uaKHoPe5qrb5TLBreC1ePHSq26/xNXj+fpa2h795tUf0JsU5SPXJ0UpIXGjMZub2bDhq05aAjabDYPBwNy5qX0eX1dXS1FRIePGTei0Pj19F/Hxo6+5UFWfRjs9Pf2aTtwTb7/9NhkZGdhsNl5++WWSkpIG9PzDkY7Sk6NHj8bX14/Dh7O6yE8GBgaSlXUIg8EbrVaLxdKGw+FAr9df9bWuR2KyqqoSSKKhoR5PTz1mczMlJSXEx4/G39+fTz/9uFcDfyUajQaZTCaWVz1z5jRBQUFSqdWBwOlElXmIlpd+3f32dinKbVtQZmeiKCkCuQLHIElRSkgMBQaDV6dBQUVFObm5Z/o8ThAEfH39Ohn8gaJPo11ZWclbb73FyZMnkclkjBs3jh/+8IedqqRdLQcPHuTEiRP8+9//5ty5c7z88stSFPoA0S49CaDX67uVn/T2NlJfX0909EgA1GoNHh7900QeOTK2W4nJq0GlUrF9+xYsFguTJqWg03lSVVXJhQvnkcvlJCYm9zsafNq0mWRkHBALwbQHsklcJ3/9K7bU+ZfTqFpaUO1JR52xH+WJHGStrZelKJ/4Ls4Jk257KUoJiY4UFORz+vSpS8IpfqSkTCEn5yjNzc20traQlDSWs2dzmTs3lZMnT1BQkI+Xlxc2m1v6tqWlhf379wDgcgnMmDETg8Grz+v2maf9xBNPMHv2bKZNm4YgCOzdu5fMzEz+8pf+p4C8/fbbBAQE8OCDbonEhQsXsn79ejx6Sd+Q8rSHjoHsf07OUTQaLfHxowfkfDeC4Xz/TQtnYV55N8pjR1GUlXaSorQtWHzbS1EO53sPw7v/7X1v123oKM/bPtKeMWMWGzd+xYoVd6JSqdi1azsJCYlUVlbQ2NjI7NlzxX2nT5/Jxo1fceed9+ByuVi37jNmz56LUqnCarUQGhom1saYdEmM57rytC0WC4888oi4HBsby+7du6/py6iuriY+/nJxDF9fX2pqanoNavPx0aFUDp0MXm9f3nBgoPrv4+N5qerarfV93mrtHRBcLjh5En1eHkyZAt98DO6+G0JDGU5hfsPy3ndgOPffZDLgltiwcfBgurg+LCwMo1GHWu0iPDyIkBC3xzk+PgZBsODj40lAgBGTyYDd3izuGxERQlCQEYDo6HD8/PQYDAYyMjIoLr6A1WrF39//qr7zPo221WqlsrKSwEB3NG9lZSVWq7X/3wJ0ij6HqyuOUV/fek3XGgiG89smDGz/R4wYBQyt56S/DOf7b7JYaPnpz1F/tQ7nps3IP/0cmbkJwccX+6QUrKkLcY4bD7dpTvxwvvcwvPvfcaQNaqZOnStuq6gop6GhiJoaM42NreJ3VFtrRqFQYLfb0Gi0VFc3U1trpqGhtcu+DQ0t1Naaycw8hr+/ifHj48nPz6OsrFTc57pG2k8//TSrVq0iICAAQRCora3llVdeucYvw0Rt7WWh9Lq6ui46wBISEjcBSiWt//VL2p56Bv0v/xMa6jG//BtcQcFotm1G98e33G5zlQpH0li3ata8+aDrX4yEhMStiLe3N01NTdhsNtRqNZWV5SQljaOioqzLvgaDgcbGRlwuF06nU7SBVqsFg8FtnIuKCq+6KFSfRnvu3Lns2LGDgoICBEEgKirqmqU5Z8+eze9//3seeughTp06RXh4uCTzKSFxEyMYfWh+56/Iz59D/8v/ApUK829eo+3JpwGQNTag2rENza7t6N79AzKnE2dElHvue+lyXMFSJUWJ2w+lUsn48RPZsWMbMpmMwMBAAgMDuzXaGo2GmJiRpKVtxGAwiAPVUaPiyco6hIeHB2PGJJGRsZ+ystI+Vc76DESrrq7mvffe48KFC8hkMuLi4njsscfEQhr95fXXX+fAgQMoFAp+/etfExfXe7SvFIg2dEj9H77976nvyvRd6F/9DY4xiZhfegWuTBd0OFBmHkT99W5Uh7OQNTW5o8wnT8GaugDn2FvDpT6c7z0M7/7fDH3vzT3ep9F+6KGHSElJYcKECQiCwJEjRzh8+DAfffTRgDe0OySjPXRI/R++/e+174KA9v1/oP3of7HeeQ9t33u2Z0Pcns+9NQ3loYMoyksR1BocicnYps/EnrrgpnSpD9d7364e+PjjD+N0umOQBlI9MCsrk9WrHxRdwTabjU8//Zhp06b36/wnThwnMDCIgEGoBXAz3PvrmtNWKpX88Ic/FJfnzJnDQw89NDAtk5CQuPWQybA8/i0sD34D3do1GJek0vqDH2FbcWe3+7qiomn77jPw3Wfcq9pd6rt3oHv3HbdLPTIK+5RpWJcuH1RxEom+MRqNHDp0iEmTZg74uTUaDWVlpYSFuTOGiosL8bwG3fOkpOSBbtotQ59Ge9SoUZw7d45Ro9zRv2fOnGH06Fsn11ZCQmKQ0GhofekV2qqr0T//Uzz+/jdaXnoFx9jxvR4meBuxrVqNbdVq9wq7HVVmBqqv0/H63pPIzM24fHxxTErBumARzuRxt4RL/XbB19cPlUo1KOqBoaHhFBTki0a7sLCQ4A5xD1eePyFhDNu3b2H8+En4+/uzY8dWkpPHc/78WSIiIgkJCSUjY/8lUSKYMWM2Hh4eZGTsp7m5GZfLxbhx4/ucJ76V6NNof/3113z00UcYjUYEQaCxsZGAgAB27NiBTCYb8DKnEhIStxaCyUTz395DcfI4+hefx+VtxLz2dYTArkI03aJSYZ8xG/uM2ZdOeNmlrnvrTRTlZQgazeUo9bmpN6VL/XYiJSWFdes2Dbh6oJ+fL6dPn8bpdF76c4jFtXo6f0rKVDIzDxIfn4Cnp56AgADOnz8LQH7+RTQaDTNmzCI/P4+SkmKUSgUKhYIlS5bR2trK1q1p3H33vYP6fd1I+jTa//jHPyR9YgkJiT5xJibT+PkG1FvT8H70QeyTU2h5/iXopeJht3TnUm+oR719K5qd29D9+e3LLvWUaViXrbj6FwSJq8LLa3DUAwFCQkIoKyvFbrcRGhouqvj1dP7AwEBMpgCyszNZtmxlp3PV1taJ89pRUdEAZGYeEj0EOp0OuVyO1WpFc5tIvvZptAMCAjh48CDNzc2dxBxWrlzZy1ESEhK3AmlpG5kyZVqnbJAjR7IpKytg7tzF6PV9V2jKzDxEQkKCuK9t8TJsC5fg8bc/Y1yxkC2TpzBpzW9RXofCl2D0wXrfA1jve8C9wm5HdegAqq934/XUt5GZzbj8/NxR6vMX4kwaK7nUr5PBUg+MiIji7Nkz2Gw2Jk+e0km7oLvzA7S1tSGXy7HZrs349lfT4Gamz6f6scce429/+xu7du1i9+7d7N69W3KJSwwIZnMzGzeu77SupKSY/fv39nhMTs7Rq1LZkbg6oqKiKSjI67SuqKiQ+++/v5PB7i3JJCVlSlfjLpfT9t1naNiwjfkyGf53LEG1c9vANVylwj5zDq3Pv0TjFxtp2Lob8yuvInjo0P3+DYxL5+O9cgmez/8M1eZN0NY2cNceJnRUDwT3XHdFRTkOhwNwv6w5HA4CAwPJz8/D09MgqgdaLG09qgf6+/vT1NSEw2HvtE9P56+qqsJmszF9+iyysg51Opefny8VFRWA+7fjxIkc/P39KC9350ubzWYA1Gr1AH4zQ8tVyfJISlwSErcnkZFRbNmyiYkTJwNQW1uLTqdj586dxMUlU1RUKKoWzZ+/iH379tDS0kJISAgXLpxn1arVbNu2hZSUKdTU1FBTU43NZqO+vo7ExGRGjozlg0kp3PndZxB+/hMOvPIytm88hhAezpw5qQPnspTJcMWMpO2pZ+CpDi71bVvRbNuM5x/fAperc5S65FLvk8FSDzSZTGi1nadNuju/XC4nOzuT2bPnoNcbUKs1FBTki8dERcVQXl4uHjNjxix0Oh3l5eVs2ZKGIAhMnTp9YL6Mm4Q+jfaUKVPIzs5mwoQJ0ty2xKBQX1/Hvn178fTUdfpnz87OFOfH4uLiiY11ZzA0NNSza9d2GhsbSUmZSmhoWLcyeRJ94+HhgcFgoLq6GpPJREFBHlFRMdTWXq7s5HK5WLRoKSUlxbhcLpYtW0FxcRHHj+d0cjvK5TLq6+tZunQ5TU2N7NnzNSNHunNvhZBQat54m+TTJ4n8w+/J1nqQb/Amftrg/aAKRh+sqx/AurqDS/3gAVR707txqS/CmZQ87F3qer2BGTNmicsqlYrVqx8Ul+Pi4omLi+9y3H3t0xbAzJmzuz13xzzsdjUrgLEdsg26O3/HYLj2c0dGRvV6vY59uN3o02irVCoeffRR0T3WLvJx5ozkopQYGI4fz2H8+AmEhYVz8GAG4K7R6+GhY+nS5TgcDtat+0w02haLhdTUhZSWlnDu3FkCAgI5evRwJ5m87tJVJLonKiqawsJ8TCYTJSXFLFmS3Mlo+/m5yy42NjZiMrmDfkJDw7p9iff3NyGTydDpPMUAo3Y0Gg2HBYHMp3+A7evdjPnxs+iWLqf1Z8/Ddcx3XzUqFfZZc7DPmuNeFgTkFy+4a6n/7jUUFeUIWi2OpLGwfDGMm9r/IDoJiUGmT6O9ceNGduzYIap8SUgMNI2NDWJ6SFBQEKWlJSgUCmw2K1u2pCGTyTopywUEuJ9FnU6H3W6jqakJLy8vUUUuICCI2tpayWhfJeHhEZw4cZzIyGi8vLy7uKwVCrc0bkdVvp4Ce9oDltr370hWViZjxiQSFhbOiZBQmu+9HyF9J8YlqbT9vyewPvQI3MiAIZkM18hY2kbGwtM/cK9qqEe9bQusX49xza9BEHBGRbtd6kuWI0i/gxJDTJ++oLFjxxIQEIBCoej0JyExGLT/0FdUlFNRUcGiRUtYtGhJp1Fdx8/dxUddjeSrxGXUajVGow8nTuSIaTPd4eXlRW1tDQDl5WW9Bqd1h81mxcvLC6fTSWlpCU4E2p77KQ1fpaHKzsR7+SKU+3oOQrwRuF3qD8L//A8NaTtoWL8FywMPoyguwuvpb2NcPA+vh+5zj8yP57i1xyUkbiB9jrQdDgfLly8nMTGxk7F+7bXXBrVhEsMHg8GLurpaQkJCqax0R4JarVb0ej1yuVyskOTq4QeyJ5k8iasnOjqG/fv3MqvdddwNoaFhnD9/lrS0jQQHB/c7Ijc+PoH09F3odDoSEsaQlXWIqKhofHx8Mf/+j8jz89D/4mfw57cxv/IqruiY6+3W9aNSYZ89F/vsue7ldpf61jQ83/wt8ooKBI0Wx9hx2GbMxj53HkjKhRKDSJ+CIZ999lm3I+u77767m70HHkkwZOgY7P6bzc2kp+9m2rQZHDiwF09PTzw9DdjtNlJSprJjxzbkcjlhYeHU1dWiUqnQ6XRoNFri40dTX19HZuYhFi9eKgaitcvk9ZQj2h+G8/3vru9Wq5WKinIiIiJpaWlhx46t3HnnPQN+beX+vXiuXYNzZCwta9YiGLwG/Bp90Z97L6uvQ71tC6qDB1CcP4vM5cIZecmlvnQFwiCIWgw2N8uzbwrwovGjT7AtWnrjrnkT9P26VL4AiouLOX36NHK5nDFjxhAScuM0ciWjPXRI/R++/e+u7y6Xi3379mA2mxEEgfHjJwxeTWdBQPPvf+Lx979hXbqCtmefA+VVZagOCNd17202VBn7Ue/ZjfLoEXeUur8J++Qp2BYswpmYdGPn7vuB6sA+jHctg0cfpfqNPw51czoZbXlRIaqjh7EOwotip2veBP/312W0//nPf/L3v/+d5ORkXC4XJ0+e5Pvf/7400h4GSP0fvv2/afput6N7fS3qXTtoffr72O6574ZcdkD7LwjIz59Ds30LysxDl6PUk8dhmzXH7Xq/SVzqhqefAJcT7ZY0ak6cGxIvR0c6Gm2PP7+DKjuTpn98OLjXvAme/d6Mdp+BaF999RVpaWm89dZb/OEPf2D9+vV8/PHHA9pACYnhxvr162hubhKXv/rqC0pKisXl3bt3UlZWOmDX27Vrx4Cd64aiUtH68xdo/L8v0ezYivedS1BmH+r7uJsJmQzXqDjavvcsze//i4atu2l67yMcCWPQpG3AeM8KjEvno//ek2g/eA9ZdfV1X1JeUgx2e/+a2diAZtN6Wp/9McTFofniM3Gb8nAWxmUL8IsOxW/UCAxPPI6ssaHPbVit6H/yI/wSYvCLCsG4eC7KDlXNfCcmov37X8Vl1f69mAK84FIls3Y8/vA7PH/1S9RpG/APN0GHbJLhRp9GW6VSoe3wFqjX68XUGgkJiWsjMDCYyspKwF1X2el0UlVVKW6vqakWU9sGgtTUBQN2rqFA8PGl+c//Q/Nrv0f32lq8HnsIWWnJUDfrmhF8/bA++A3Mb/3JHaX+1Wasqx9AUVSA15OPY1w0F6+H78PjrTdRnDzRfZpEL3i8+0e8V9+F/NzZqz5G89knOKNH4hydAA8/jPZfH4jbDN97EtucedSeK6Qu6zgyqwXdW2/2uU337juov95F/e791J4vwj5jNl7ffqxffQFo+8FzWO97ANuyldQUV8NtIv5xLfQ5SRQcHMzLL7/MrFnuCjP79u0jOFjKf5WQuB6CgoIoKSlm5MhYqqoqiY6OEY14Q0M9Hh46Dh48IFZ7ysjYT1hYOCqViiNHDiOXy/H09GT69JlUVVWSm3sGlUpFdXUVY8eOo7CwkIaGeqZNm0FQUDCffPIv7r//Ifbt24NOp6OhoYHm5iZmzpyDn58fmZmHqK6uws/Pn/r6Ou66axlw8827uuJG0/Tpl6h2bcf724/hSB6L+YU14Ok51E27PtRq7HNSsc9JdS8LAvJzZ9Hs2Irna79GXlmJ4OHhdqnPnN2nS13WWI96/16MD9xDyw9/gvXRx/tsgvafH2Jpr2z28MMof/YzFKdP4UwYg7y5GcHDA5RKBG8jTf/7L7F6XG/bWp/5IW3felJ0s1vvugfdH99CXlmBSyoje030OdJes2YNwcHBfP7553z22WcEBwezZs2aG9E2CYnblqCgYHFkXVlZSXBwCIIgiAIJYWFhl5STnAiCQFVVJaGhYRw8eIDZs+eyZMky1GoN+fl5yGQy6uvrmD59JuPGTSAn5xhz5sxj3LgJ5OVd7HRdmUyGy+UiNXUB8fEJ5OVdoKGhnqqqSpYtW8GoUaOoqam+6fPc7akLaUjbgWNUPMY7luDx5z/cXjnTMhmuuHjavvcsTR/82+1S/8eHOEYnoNn41WWX+jPfQfvh/3Zxqcur3fn0ipJiDD//MfpnvgMtLT1eTnn0MMozp7CuuhQzEBSEffZctP98HwDzi2vwfOO3+EyfiOcv/xPlsSPisb1tk5eVYvj+U/gmxuIfbsK47JLHZxi7t6+XXkfaZrMZvV7Pk08+Cbhzts1msyhaLiEhcW1oNBqUShUtLS3U1FQzYcJE/Pz8qKmpprKygtjYUdjtdkpKivHw0BEYGITdbkcmk4nKSIGBgVRVVaHX6/Hx8UUul+Ph4YHR6CN+tnczr9nudvf09KSmppqGhgax/Kivrx+et8qoVSbD8q0nsTz8KJ6/eRnjklRaf/QTbEuXD3XLBoV2l7r1wW+4V9hsqPbvQb13D15PPo6stRWXyYR90hTk5ZfL0MpsNjw+/RjlubOYf/0qjsld6/JrP/oAXC58p1yqAy4Dlc2G8tgRWl5Yg3X1g9gWLEK9bQua7VsxLl+I+ZXfYvnWd3rdZnj2aXA6adixB1dQMIpTJ/Gd10u9+X5OAwxHehxpnz59miVLltDcfDmK7uzZs9x7770UFRXdkMZJ9IzZ3MwHH7xH9RVv2Js2behR2rK0tERU7JEYeoKCgigvL0Mul6NUKgkICKS6uoq6ulr8/U3ExIykqKiQkpKibiuVdUz86Dgy7vi5u+SQ7mqG93T8LYFWS8uv1tL44SdoPvsE71UrUJzIGepWDT5qNfZ5C2h54Vc0rttEw5ZdmH/5K5DLUHQw2u2ojh3B67GH8PjD7zobx5YWNF9+jvm3b1K3ax91u/bBsWPU7z4ADieazRuR1da6XxoeeJimv39A63/8DI8P3aPw3rapjh7G8ug3cV0qKaw8daJTmwStFpnt8oul/BaOU7hR9Gi033jjDd58800Mhsuh52PGjGHt2rWsXbv2hjROoncMBgOFhZdl6sxmMzZbz26n0NCwbhV6JIaGoKBgzp07i8nkrrseEBBISUkJWq0HSqUSX18/WlpaqK2tITAwSKwJ3q4RXFlZgb+/33W3o70iHbjn01t6caPezAiBgTT//QPML76C/sXnMXzrUWRVVUPdrBvHJZe6ddVqZFZLt7soaqrx/PXLeD3+MLIatwtd+9UXoFRgeegRXNEx7kp0I0fiHBWH9a5VaN//B35j41Bv2gBOJzJzM4qzuTgjo5CXlvS4DcAZGobySDY4nSgPZqD94v8AkJeXu7fHjES1N93d/OYmtJ/8q8fuCVoP5KXFyOrr+h0ZfzvRo9G2WCxMmdLVjTJ58mTxR0NiaPH3N1F+6eEHKCwsIDjYXewiL+8iaWkb2bx5ExkZ+wG4ePE82dmZCILAunWfceRINlu2pLFz5zYEQcBut/P117vZtm0zW7dupq6ubkj6NVwIDAyitrZGdFd7eHhgtVoICrocoBMSEoKv72XDPHXqdPbsSWfLljRcLheRkT3XCr9a/Pz88PLyYuPG9Zw5cxpvb+MtLcPrTB5H4xcbsd5zL97fWI3nCz8fVnOoipMnkFm6N9qCQoEzIgqsVjSfug2k9qP3sdx7f7cR2ZaHH0F1YB8t//UCnq+vxT8mDN9JScicTsyvvokrNIymd/+n220A5t++iWb7VvxjwtC98zua/vg3bKkL8P7GahSnTtLy0+dRlJfjOz4B7wdW0fb4twCQCV3jE6yr7kNRVIjv9InIBzAd8lajx+Iq99xzD1988UW3B/W2baCRiqt0j9ncTE7OMQBGjYrHZDKxbdtmEhISKSwsICAgkNDQMHQ6HVu3biYlZQp1dbXU19czaVIKH3zwHitX3omPjy9paRuZOnWaOH8aGzuKhoZ6zp8/yeTJt68ubV/cDPd/27bNTJ06HS8v70G7htPppKAgj5iYWBwOB19++Tnf+c7/o7b21hxxd8LlwuPdd9Cs+wzLw49hefxbV1WN7Ga499eKx7vvoH/xeQCcpgCc0dE4Y2JxxozENnveVemG38r9v15uhr73Vlylx0C0oKAg9uzZw+zZnQXG09LSCA0dpNKFEv0mIiKSgoI8dDodKpUa5aVSj0qlkj170pHJZDQ01HeStgS3spOPjy/QLnFpp6amhtbWVjHiWK/vnyCExMBhNpvZsyedESMiBtVgg1t6s7a2jjNn1iOTyRg/fsItPdLuhFxO2/eepe3xb6N/+RcYly3A/JOf40idP9QtGzScYSNoefbH1I1O4NPaGpbetUqcggF33IvRaGTGjP6/kLfrBaxYccc1ty839wxWq4WxY8df8zmGMz0a7Z/97Gc88cQTJCUlkZSUhNPp5OjRo+Tm5vLBBx/0dJjEDSYkJJSjR4+g1xuIiIgA3COnzMyDrFx5Fzqdjp07t3U57spgo3aHy+TJU0Tt9JvhjXO4otfrWbZsxQ27XkpK16mw2wpPT8yv/R55cRH6538Gf/0j5l+txXUbxnjYVt6JbeWdOMzNGLZvpbAwXzTafcW9SNz89Gi0IyIi2LBhA+vXr+fChQs4nU7mzJnDq6++euukhAwD5HI5vr6+XLhwjsWLl1FXV4vDYUcul6PT6WhubqK2trZHWcuOmEwmSkqKCAwMpKGhnoqKAoKCIge/ExISNwhX+AiaPvgYZeZBDD95Fld4BOZfv4pg9Bnqpg0KPcW9OJ0O8vIukpt7BplMhtFoZNq0GVy8eJ6SkhI8PBQ4HHJMpgBiY0cB7lK7M2delm7t7vjy8p9OB+wAACAASURBVDLOns1FqVRSX19HREQkycnjKC8vIzs7E73egEql6hTgLNE/es3T1mg03HffjSnQL3HtREREYrVaRH1jjUZLaGgYGzeux2g0kpQ0lsOHs4iPT+j1PPHxCezfv1cMclq27NYufSkh0ROOlKk0frUF9eef4n3fndhSF9L64/+E26xEc/tLfXV1NSaTidLSYjHuxel0Mnduqhj3Ul/vDjxtbW3l3nsf4Pz5IrKzM8UYF4PBgEZzecqsu+NlMhk1NdXcddcqXC4X69Z9RnLyOI4cOczMmbPx8fFl167tgGS0r5Ubp3UnMaDo9QZxTiosLJywsHDAnUYUFNS1zOzo0Z0N9v33PyR+njs3tdvPkntc4rZGJsN27/3Y7lqFx1tvYFw6n7Zvfwdrh/+N24H+xr34+fkDYDT6YLXaaGtro7i4uEumQm/HK6+QUW1pMYsxNAEBQTidjkHt8+3MbRJtIiEhIXGNKJW0/fg/afx8PaqM/XivXAx79gx1qwaMkJBQKioqKCoq7BL3Mnv2XBYvXoq/v7+4v1x+Od4lKiqa4uIiKirKGDEiQlzf2/F9FefpQw1aog96HGkXFxf3tAmA8PDwAW+MhISExFAheBsxv/1n5BfO47fmF3g5XJh//TquyMihbtp1cT1xL1FR0ezevRMvL69Oo2e7vfvje8o60Ok8afz/7N13dJTnmfj97zNNvWskoYIqSEh0sOgdJNEd26R4nbLxbrJJ1nHe7C/FKb83uznpb7JJHCfeJLbXTuzEELAxtgw2mCoQoiMEAlRBfVRnRmVGmpn3D1mDhDpGGg26Puf4nNFTr3uEdT33c7eWZgICAqmtrUavDxuz8j7oBk3an/3sZ1EUZcCnIkVROHTo0JgGJoQQrmBPmgbZ2bTt3of/l/+FruQZmH/4Y/B133bYe+334uXlhVar6TeNrqfnwOcvWPDQgPefN28+R48extfXFx8fX6ltfwSDTq4ylHPnzrFgwYKxiKcfmVzFdaT8k7f8k7ns0Kv8Dgcer76C1//+GcuW7bQ/9f+AWu3q8MZcT/k7Ojo4ePA9Nm/e6n5z0t+jifBv/54mV+lhNpvZu3cvTU1NQPdrkTfffJOjR4/evwiFEGIiUhQsT3wWy8c/hffPfkRg1hravvI01ocfdXVkY+727VtcunSRhQsfmjQJ2x0M2xHta1/7GtevX2fPnj0YjUYOHTrE97///fGITYj77l5WRxtMU1MjRmPL/QxPTFQ6HW3f/09a/v4GHvuzCXh4U/dCGA+wmJipbNmybcDRKMJ1hk3aFouF//qv/yIqKorvfOc7vPLKK7z11lvjEZsQY2K0q6MN5tatcoxG4/0MTUxwjpAQTM+/gOnHv8D7Jz/E75+fQBlgGUwhxsqwr8ctFouzZ2BDQwMhISF9ZtgRwt0MNUtUTU0158+fQ6VSERWlJzV1PnV1tf1meYqJmcr164V4eXnh4eGJyWQc1exQFy6cR61Wo9PpWLVqzYMz1/ckYU9Nw7hrL7r3DxDwz0/QOW8+rd//L/D2dnVo4gE37F+KHTt2kJ2dzfbt29m8eTPr1693zk0thDvqPUsUQGXlbaKjowHIzT3JypWrycrahIeHB6WlJc5ZnhYvXkpm5iauXbtKUFAwUVHRzJu3AL1e75wdauPGzRiNxj6zQ/U+D8BqtbJs2XIyMzei0+morKxw2XchPhrrhkyasw9ii08kcGsGXv/zHIxgymAh7tWwNe3e05guXboUo9HIjBkzxjQoIcbaQLNEWSwWFEXB19cXgClTpnDtWgm+vr4DzvLU22hmh/Lw8OD06VM4HGAyGfusny3ckEpFxxe+RMcTn8XnRz8gMGstbf/xLayZG10dmXgADZu0DQYDL730EkVFRSiKQnJyMuHh4YSEhIxHfC5nNpt4443dbNmyzTkNX3HxTQASE6eN6Brl5WXExsZRXHzTuZ71YHbv3omPT3fS6OrqIilpGikpgz8kjeSaPWpra/D3D8DLy2tEcT/IBlod7W69R0MO1Xt2qFXVBjovJ+c469ZtIDAwiNzcUx+hFGJC8fam9Uc/R6muwvc738TrT7/H9IMfY585y9WRiQfIsK/Hn376aXQ6HU888QSPP/44iqLw9NNPj0dsE0ZgYCDn76GnqMPhwGw2UVpaMqrz1q3bQFbWJjIzN1JVVUFJSdGo7z2QoqKbdHS035drubves0RFR08FumvA0N0xDaCqqorQ0MEfThVFwWazDTo71GA6Ozvx9fWjo6OD2tpqbDZ5nfogcUyJxPTSX2n97g/w+/638PvCP6PU17s6LPGAGLamrdFo+NrXvub8edWqVTz++IM1of5wgoND6Orq7qR09/CHa9euOpNyTMxUZs2aTU7OcdRqNRaLBZutC4PBwOXLF/Hx8aG9vZ3Dhw/R3NzErFlzSEoavLau1WpJT1/C4cMHSUhIGnApvN7Onz+LRqNh5szZnDqVg8lkwm63M3du92Lzt2/form5mVWr1lBeXkZ5eRkAUVFRk3JB+rtniQJYvHgpx44dQaVSMXVqBHFxCdTV1Q54flhYOOfOnWHJkmWjmh1qxoxU3n33HXx9fZk1azaXLl0kOjoGb+nE9EDpmreAljey0b31BgGfehTr8pW0PfN96PXvTYjRGjZpT58+nRs3bjB9eveaqteuXZuUbdrz5y/g+PFjbNq0xbnNbDZRVHSTzZu3ApCd/TZxH85TrNPpWLx4KTU11RQWXmP27LkUF9/EZDJ92FmphWPHjg6ZtAF8fX3p6OjA4XAMupQeQFlZKa2traxYsYri4puo1WqysjbR1tbGgQPZfOxjjxEUFEx6+iJnm21GRhYajYY9e3YxY0Zan+T1oBrJ6mg9v+OemZHuXjmtZ4W0pKRpzt/flCmRfe7Ts6paZGRUv/PmzJnX5yEpISHp/hVQTDjWbR/DunkbXs/9hsCNa+n47JN0fPpzIBOWiHswbNI+evQof/3rXwkMDMThcNDS0kJYWBgHDx5EURSOHDkyDmG6np+fP8HBIX1edTc0NKDXhzmH64SG6mls7E6kPcvb3S00VI+iKHh7+9DZaR3RvXvaVgfr7NTS0sytW+Vs3/7Ih3E1OpOMt7c3KpXKeWwPlUrFwYPvoSgKFosFq9UyKZK2EC6hVtP+1a/T/vl/xff//R6Bf9+A+dvfo2vlaldHJtzMsEn7xRdflDGkH5ozZy4HD75HSsqMPsvX9dbT8Ug9yPzEvc8bybTvRmMLXl7e2O32QTs7mc1mAgMDKS8vHbTW1rtDVPeY4qts2bIdrVbL3r17ho1DCHEf+Pph/uVvUJWV4fu9b8Hvn8X8w59gnzbd1ZEJNzFo0j569CirVq3i9OnTA+5/7LHHxiyoicrLy4upU7sn1ZgxYwYhIaFcvnzR2enIYKhj5sxZ3L59y3mOoijY7bZ7ul9XVxd5ebmkpqYO2dkpKiqamTNnc+BANlOmRBEaGkJ1dRVxcfHOTlU6nQ5FAbvdgdXaiaenF1qtFoPBQFtb25Adp4QQ95c9Lg7jX19HcyoHv6//O7b4RFp/+BMcAYGuDk1McIMm7evXr7Nq1SrOnTs34P7JmLQBUlNncv16IdDd3pyUNJ39+7MBmDZturO9uEdAQCBNTU2cPZtHUFDQiO5x6ND7KIpCZ2cniYlJzqFlQy2l5+npyezZc8nNPcmqVWuorq5m//5sHA4HixcvBSA8PILjx4+wevVadDot2dlvExYWRnJyCnl5uaxfn3lfviMhxMh0LVlGy1sH8Nj1NwIe3Yp1QxZt//EtGGJOADG5jWhpztLSUuLj4wEoKCggLS1tzAPrIUtzuo6Uf/KWfzKXHVxU/s5OvH/1c3TvH6D9C/+GZcenBu2sprpeiD05ZcxCudfya3OOE/ixzRhKquCuCoy7mAj/9odamnPYxupf/OIX/O53v3P+/Kc//Ylf/OIX9ycyIYQQ3bRa2r71XVr+sRfd8aMEbMtCk3uy32FKcxMB/7QDzckTI7ps8IKZhMZFoJj7JyKPN3ejD/PH++c//sjhi/ExbNI+e/Ysv/zlL50///rXvx70lbkQQoiPxhEYhOnZ/8H0y9/i/d//H/6f/iSqW+XO/R7/2InmVjl+/+drqMpKh7hSr2t6++Cx941+2z12/R17qH70QXZ1jf6c4djure/PZDNs0lYUBav1ztCktrY2bPLlCiHEmLJPT8b4+h7aPv8F/L/4eXz/z9NgNqM9dwYATdEN/L7yr/BhZ9OhWDKy8Pz7q322KQYD2txTWJcuB8D75z8mcMOqPscEL5iJ5wv/A4DfU/+G79NfJuCx7QQv7p5nQFVSTODmDYTGRRCYsQr1zRt9zldVVeL/mU8SEh9J8Kzp+H31SygtzUD3q/TQGD2eL/yRkPhItCeO3cO3NPmMaMGQzZs3M2PGDOx2OwUFBTz11FPjEZsQQkx6XWvW0rx6DZ4vv0jg9ixUjXcmVdKdycP/y/+C8aVXYZBhpgDWzE14/tvnUZWWYI9PAMDzjV1Y16yDUaxF4LH/HUy/+x+s6zIA8P/3L2KLiqb59TdQ11bj/y+f63O83789iS01jYYrN1E6OvD79y/g+62vY3r+xe4DbDY0NwppuFYiM8WN0LA17UcffZS//OUvbNu2jYcffpi//e1vPPLII+MRmxBCCABFoeNzT9L6ze+iumspV4/92fh85xtDnu7w98eSuRHP11+7c97Ov2PZ8clRhWGPjMa6IQtUKpTaWrRn82j/ylfB1xdb4jQ6Hn/Ceaz6agHa06cwf/+/wMcHR0gIbc98H48398CHkz0pXV20P/E58PQEmQ9kRIb9ljo6Orhy5QotLS00Nzdz4sQJ/vGPf4xHbEIIIXrRHT3MQP3Jvf76Mp7P/XbIcy0f/xSeu/4ODgfq64WoqyqwrtswqvvbYmKcn9U1Vd3bPlxwB8D2YS0eQF1aguJwEJoSR2iMntAYPYGbN4Ci9HnwsPe6phjesK/Hn3zySTQaDZGRfedWnqzjtIUQwlU0ly4MuF3p7MTn17/APjUW69btAx5jXbMeLBa0OcfRHfmAjocfHX48+N0jgjXaO58tH/Z16j0srfeKdSoVDg8P6m8bBry0uro76Tt6X1MMa9ik3dnZyauvvjrcYUIIIcaQquI2mqKbg+9vacHn/z6DLSYG29z5/Q9Qq7E8sgOPd95C9/57GP/0Up/dDk8vlF6djunsRGWoG/R+9oiI7stW3qYrpHsJW3XxnWWEbfEJKBYL6pIibD3TK7e1obS24tDfQ491AYwgaScnJ9PY2EhwcPB4xCOEEGIA9qhoGk+cQVVZgab4Jqq6OhRjS/d/LS2oWppRWoz4/t/v0LLn7QFr0R2feJzARzZjD9XTNW9Bn322xCTUpcWoKm6DPhWv3/92yFqwfWosXdOT8fr9bzH98lnUVZV47vzbneulzMC6eCk+338G02+fBw8dPt/7NurSElr2vnv/vphJZtikXV1dTUZGBomJiWh6/SOQ2rcQQowjRcGh12PT67HNnTf88QOwpc3EFhWDddvD/fZZMzdi2bSVoMw1EKbH8cTnsE2fjjLEugTGF/6C39NfIjQtka6k6bR95av4f+ULKHYbDsD0hz/j++3/IGTBTBxqNZ3LVmD640uDXk8Mb9hpTE+dOjXgilXp6eljFlRvMo2p60j5J2/5J3PZQco/mcs/Eco+1DSmg9a0r169Smpq92IUMpnK5Hb9eiElJcWoVCq6urpYsGChc73ukTKbzbS3t6PX68nJOU5sbBzR0QP3GjWbTezbt5fg4BBsNhsqlYo5c+YyZUrkgMcDw16zt7KyUuLi4kcVvxBCTASDJu29e/eSmprK73//+377FEVhyZIlYxqYmBjMZhM3blxn8+atqFQqjMYWcnNPjjpp19ZW09nZhX6EHVD8/PzJzNwIdK///cEHB1m7dj1+fv6jLsPdrlzJl6QthHBLgybtZ555BoBvfOMbzJ49e9wCEhNLZ2cndrsNu92OSqXC3z+AjIzuZNrU1Mjp07koioJWq2HZspU0NTVSWHiN1avXAvD666+xffsjXLx4AZVKhY+PDwDV1VUUFl7FbDazYsVqQj7sfToQPz9/Zs6cxdWrV1m0aDFnz+ZhMBiw2WwkJ6cwbdp057F2u51Dh95j1qw5+Pn5c+rUCWw2O4oCS5cup6ysjObmJg4fPsSqVWs4efIEZrMZm83GnDlzR1RTF0IIVxm2I9pvfvMbXnjhhfGIRUxAQUHBhIbq2b17J9HRMURFRTN1aiwqlYozZ04zf/5CwsLCKCi4wrVrBQPWwD09PUlKmoaHhycxMVO5dascRVFYvz7zw1fvRUMmbYDg4BBKSoqx2Wx4eXmzceNmurq6eOONf/RJ2mfO5BEbG09ExBROnjxBQkISCQmJlJeXcfHiBZYvX0lBQT5r1qyjvb2dsLBwli9fidls4siRw5K0BQC5ubkUFd2io6Odzs5O/Pz80el0rFmzztWhiUlu2KQdFhbGE088wZw5c9D1mhv26aefHtPAxMSxbNkKjMYWKioquHIlnxs3CsnI2EhzczNhYWEAhIWFk59/acSvzcPCwgHw8fGhvn7gyRfu5nA4UKvVWK0W9u/PRlEULB9OhwhQXFyEzWZj0aLFADQ01DPvw2EtYWHhXL58sc/1dDodjY2N7N+fDYDF0jGiOMSDb/HixSQmplFcfJOmpiYWLhyfjrdD6Xmw3LJl2z2dn59/mfDwCOf/s71VVlZgNptJHsM1usX9MWzSjoqKIioqajxiEROUzWbD3z+A1NQAZsxI5c03d2MeYGUhRVFQlL6TLA42OEE1ynmGDQYDQUHB1NRUU1NTQ2bmRhRF4W9/+2ufe5nNJozGFvz9Awa4St/YSktLsFg6yMraRHt7O9nZ+0YVk5h8zp8/i8FgwG63M2NGKnFx8Rw7dgQ/Pz+ampowmYysXLkaf/8A9u17k5iYqRgMBnQ6LWvXbsBqtXLy5AmsVgsOByxatJjAwCByc0/R1NTYp8nn7m1Tpkyhrq7O+ZAZFhbG/PkLB73m3WbNGryZMyoqesy+M3F/DZu0n3jiCQIDA8cjFjEB3bx5g+rqKlauXA10t3FD9yvvoKAg6urqCAsLo6ammpCQELRaLVZrd+3XZDI6l3VVFOWeRyGYzSYKCvJZt24DTU1N+Pr6olKpKCsrxeFwYP9wHGlS0jQ0Gg0nT+aQmbmR0FA91dVVJCQkUl1dRWhoKHDnQcJiseDn1z20ory8zHkdIQZSU1NNe3s7mZkb6erq4p133mLq1FgURcFut7N27XquXbtKcXER8+cvxGQykZiYxIIFD/H222/R3NxEeXkZMTExJCZOo7GxgfPnz7JkyXJqaqp4+OFHsdlsFBXdpL29vd+2zs5Obt8u53Of+zwqlYrDhw9RXHyT9947gJeXF1OnTiU1dSYHD75HaKi+T7+ST3zicecIi8DAIE58uAym3W5nxYqV1NXVOt8onD2bh9VqprHR7HyAuHjxPJ2dnZjNZpqbm0hPX0xUVDQFBVcoLy8Duit4c+bc2/hxMXKDJu0zZ87wta99ja6uLoKCgvjDH/5AfLz0uJ1skpKm0dLSzDvv7EOr1Xz4JL8EjUbDwoXpzo5oHh4eLF26HK1Wi1qt5siRD/D398fHxweHw0FoqJ6TJ0/gNcJlAE0mIwcOvIvD4cDhcLB48VL8/QPw9PSioOAK+/dnEx0dQ0zMVE6fPuU8LyJiCoGBpRQWXmP27LmcOnWCmzdvoFarWLKke93g4OBgsrPfZuXK1Rw+fJC6ujqmT5+Or68f+fmXmDVrzph8l8K91dfXU1dXy4EDd2bzamtrAyA8vHtKTx8fH5qbm4Du5peeGq+Pjw8Wi5WGhnoqKiooKuqe7tNut+Pl5YW3tzeHDx8iNjaWxMQkNBpNv22VlRV0dHTw/vsHALBarZw6lUN4eDgeHp4UFxdz/fp1AgMHest0R3l5GZGRkcyePZf6+nra2tqd++70GVlHdXWTs8+Ioii0trayZs06KisruHHjurN2npGRhUajYc+eXcyYkdanGVXcf4Mm7V/+8pe8/PLLJCUlcerUKf77v/+b3/526FVkxINHUZRB2/OCgoLJytrUb/u6D9faBZg/fyEAkZFRPPbYJwBISEh07o+OjunX+cvX149PfeoJBqLT6di0acuQMS9evNT5ef36zH77e3q/A2zdemdmqISe+ZGFGERS0vQBXzPf3Sw02DaA9PTF/YY+ZmRsxGAwUFxcxI0bN8jK2tRv24wZqX2GQgLs3Pk3AgMDmTVrLgD5+ZdITU2jsPDaoGWIjIzk8OFDWK1WYmJiCQ8Px2w2Ajj7jLz11lsYjR19+oz09EPx9vams7P7DZpKpeLgwfec/UusVosk7TE2aMOiRqMhKan7j9iSJUto7LXwuhBCTDZ6vZ7KygocDgddXV3k5Z0e9TVCQ/Xcvl0OdA+ZvHbtKiaTkevXC9Hr9aSnL6KlpXnAbf7+/rS2muno6O4wefHieaxWa59rtraaKbprUZG7+5UEBQWzdevDhIbqOXs2j+vXC537evqMbNmyhYyMrD59T3p/dji634YVFl5l3boNZGZuxNvbe9Tfhxi9QWvad3cUGm3HISGEeJD09Lx+9913cDgcpKSMvqd1SkoqOTnH2b8/G4fDQXr6Yry9faipqaao6CaKojBr1pwBt2m1WhITp3Hw4HuoVCpCQ/WEh4cTEhLKjRvXOXNmF3a7jdTUNIo/XG2rd7+SHqWlJfj5+TsnGKqqqiQ8vLsWbbFYnH1GysvL+vQZuZvV2omnpxdarRaDwUBbW5v0CxkHgybtlpYWTp2601ZoNBr7/CwzogkhHnSJidP6/NzT3NPbihWrnJ+nTo1l6tRYAD7+8U85t/ce3z3QWO9Vq9YMu81sNuHl5YlW273yVlNTI3PnzuPChfMoikJycoqzX0lZWWm/fiU9/P0DyM096VxTIj19EU1N3W9Sp0yJpKDgCm+99RZ+fqHOPiMD1aKDg4PR6bRkZ79NWFgYyckp5OXlDtgkJe6fQRcM+fSnPz34SYrCK6+8MmZB9SYLhriOlP+jlf/ucbW3bpVz9WoBGzZkDrgIz0CsViv19QYiI0c37LKnx/C9kt+9lH+yln8ilP2eFgz5y1/+MibBCDEZNTU1cunSBTZsyBpxwgZobGygqqpy1ElbCPFgGnacthDio+no6ODEieOsXLkaT09P2trayM3NoaurC5VKxeLFy/Dx8eHNN3cTGxtHXV0dWq2GtWs3kJeXi9Vqxd8/AIOhzrmSWUXFbcrLy1i2bAUlJcUUFl7D4XCQmppGfHyC896NjQ2cPp1LXFw8FksHc+fOB+D99/ezcGE6QUHBrvpahBD3QHqXCTGGHA47R48eJi4unoCA7kmKLl26wIwZaWRkbCQlJZUrVy6jKAomk4n4+ASysjZhsVhpamokLW0mcXHxTJ+ePOD1Ozs7yc+/RGbmRjZsyKS0tMS5r6Ojg9zcU6xYsYqEhERu374FdL9yt1iskrCFcENS0xZiDBmNRhYseIhr1wpISEh0zrXe0tLC5cuXcDgceHp6At1j0HsSafdY2M4RXd/Pzw+1Wo1arWbt2vVA9zCf48ePkJY2E19fX6B7/HtDQwMtLc3ExsaNTYGFEGNq2KU5B+JwOPjpT386JgEJ8SAJCAgkJWUGnp6enDhxjIyMLKC7x3HPMqU9RjpvO9BnaM1Ax3V2dhIYGMTNm9edCToxMYny8lLMZjPz5y+41yIJIVxo0Nfj8+fPZ/78+ahUKoxGI6mpqaSkpNDQ0NDvj40QYmhxcfH4+flx6dIFQkP1VFTcBronsygpKR7yXJutO0FrtTrnSmSNjQ0A+Pv7YzQa6erqwmaz8f77+4HuWvtDDy3Cy8ubmzdvAN2zz9XW1tLV1Ymv7+C9U4UQE9egNe0dO3YAcOzYMZ577jnn9s985jN8+ctfvucb5uXl8fTTT/PjH/+YNWv6j00U4kH10EOLyM7ex6xZcygpKaK0tARFUVi2bPmg5wQHh3D+/Dl8fX1JTEzi5MkT1NbWotVqcTgcaLVa5syZx3vv7cfhcDBjRmqf8xcuTGf//neYMiUSX19fAgMDCQ4eeu1yIcTENeg47R5bt27ltddec66GZDKZePzxx9m3b/TLGN66dYuf/OQnqNVqHn300RElbRmn7TpS/ger/DabjXfffYeMjKxh54d+0Mo+WlL+yVv+iVD2exqn3eOTn/wk69evJzo6GofDQWVlJV/60pfuMRA9v/vd7/jud797T+cLIe6NwWDg9OlTpKbKKkxCuLNhk/Y//dM/sX37dsrLy3E4HEydOhV/f/97utlIl2UUQtxfer3eOTObEEMpKSlm796zZGZux9PTkwMH3iU9fdGohgh+1Bn5xOCGTdq1tbXs37+flpaWPr1Un3766SHP27VrF7t27eqz7amnnmLFihWjCjAoyBuNZuQzSN1vQ72mmAyk/JO3/JO57DB5y3/uXA3+/v6YTAZiYlIJCPAiNNSP4OCRfx/+/l5u/f1N5NiHTdpf+tKXSElJITIyclQX3rFjh7Mz20fR1NT2ka9xryZC24YrSfknb/knc9lh8pbfYrFQVFTOtm0bOXYsF70+hpaWdurrTRiNVnJyjgFgtztYtmw5fn7+5OWdpqGhnq6uLpKTU5g+PRmjsR2DweSckW/9+gxu3LhOeXkZAFFRUcyZM8+FJR3cRPjdf6Q2bU9PT3784x/f14CEEEJMPGVlpcTETCUmJgaj8QCtra3Ofe3t7aSlzSIqKpri4ptcv17IrFlzqKi4xSOP7MBmszmHF8KdGflWrlztXJksIyMLjUbDnj27mDFD+lfci2GT9oIFCygqKiIpKekj3+zIkSO88MILlJSUUFBQwF/+8hdefPHFj3xdIcTolZQUc/LkCR577BPOWdl6nDt3jrY2GykpM1wUnXCFOELogAAAIABJREFU0tIS5syZi6IoxMbGO2vGAJ6eHuTnX+LKlXysVgvBwSF4eHjg5+fH4cOHiI2NJSmpeynTgWbkU6lUHDz4HoqiYLFYsFotkrTvwbBJ++jRo7z44osEBQWh0WhwOBwoisKRI0dGfbPVq1ezevXqewhTCHG/lZWV4OfnR3l5GcnJKc7tw4wCnTTufqgZrkOWu3e+MpvNNDTUc/ZsHjdvXqGx0YRWq0Oj6U4Tly5dJDIyiuTkFEpLS6iqqgRgw4YsDAbDhwvXFLJp05Z+M/KZTEYKC6+yZct2tFote/fucWVR3dqwSfu5555DpZJ1RYR4kFgsFgwGA8uWraCg4ArJySkcOPAuwcHB2O0Opky5k5iOHz9KVFQU4eFTBmzT3LNnF8nJM6iqqqCzs4sNGzKxWCycONFzrJ0VK1bi4eHJiRNH6ezsnr3toYcWodfryc+/zK1b3aNToqOjnSuRudpgDzUPqrKyUpKTU1i4MN3ZrvvGG/+gvb27X5HF0uGcr+PWrXJUKhVms4mKigpSUmYQGhrKzp1/w+FwOGfky8k5zs2bNwgODsHT0wutVovBYKCtra3PVLxi5IZM2nl5eZhMJpYuXdpnuNbu3bt59NFHxzw4IcTY6Gm7jIqK5tSpHGfbZUBAINOnJ3PrVnfbZEHBFXx8fEhISKK+vr5fm+bChek4HA78/f1JS8vi6NHDVFdXYTKZiIyMZPbsudTX19PW1o7D4SA+PpH4+ARqaqopKMhn9eq1XL16hR07PolKpeLatavOt3muNNBDTY/W1tYBH14Azp7No6GhAZ1Ox6pVa2hvbx/w2N27d5KcPIPy8jJCQkLx9PSgoqICvT6MRYsW09TUSG7uKdTq7grTqlVr8fDwGNMyl5aWsHx539E9iYlJXL58CYDp01M4c+Y0Xl5epKXN4tSpHIxGI3V1tRQV3USlUjFz5uw+v7ueGfnWrctAp9OSnf02YWFhJCenkJeXy/r1mWNapgfRoEn7Zz/7GWfPniUgIICf//zn/Pa3vyU5uXt5wL1790rSFsKNDdZ2GRIS6jymurqK1tZW5/jugdo0e4SHRwDg4+NDZ6eVyMhIDh8+hNVqJSYmlvDwcCwWCxUVt7l+vRCbzeZ87RoTM5WDBw8QF5dAQkKiyxM2QHFx8YAPNTBwh6yFC9OxWCzExsazcGE6R48eprKyAi8v7wGPBQgJCSE1NY2dO//GqlVrmD17Ljt3/o309EV0dHR8WOPVc+nSBUpKivtNUXu/bd26vd+22bPnMnv2XACCgoKJjo5x7nvssU8AEBkZ1e+8nmYCDw8Ptm9/BIB16zLue8yT0aBJ+/z58+zcuRNFUbh06RJf/epX+fOf/0xMTIy0eQnhxnq3XYKCzdblbLtUqe4kTIvFglqtpra2hvDwiEHbNKH/CmVBQcFs3fowlZUVnD2bR1LSNNrb2/D29mbFilUYDAbOnz8LwNKly2lqaqS8vIzs7H1s2/Yx1GrXzc0AUFRURHx88og7ZAFoNBr0ej3Q/fBjNBoJCgoa9EEnJCQUlUqFVqvt89lms+Hh4cH582ex2ey0tbWSkJA4ruUXE9egSbv3K6o5c+bwox/9iC9+8Yv8+c9/nhBPwkKIe9O77bJH77bLHnFx8UyZMoVjx46wceOWAds0B1NaWoKfnz9xcfEAVFVVolZrCAoKAqC8vBS73Y7VaqWw8CqzZ88lKCiYW7fKaW9vd/Y4dgWz2YzBYKC+voW7H2pg8A5ZAxnpg07vzw6HgzNn8khLm0l0dAz5+Zex2233v6DCLQ2atJcvX85nPvMZnn/+eby9vVm4cCE/+MEP+NznPkdbm+smPBFCfDTDtV32FhAQSFxcAhcunBuwTXOwhOXvH0Bu7klnjTk9fREOB5w4cZTS0hJSU9O4ffsWt2+X09FhYd++vWg0GudqZK5UVlZKWloaiYlpzm3DdcgC6OrqoqGhgZCQEOrrDSQlTaO2tnrEDzq9Wa0W/P39sdlsVFZWEBYWdj+LKNzYoEn7q1/9KseOHeszfjM9PZ2dO3eye/fucQlOCHH/Ddd2Cd3zM/TMCjVr1mzn9oHaNB999OPObb1r75s3b+13n572TehuywZInGBvfktLS3j44U3YelVuh+uQVVVViZeXFyUlRc59UVHRACN+0OktJSWVI0c+wNvbm9TUNM6cOU18fMKo5v8WD6Zhl+Z0NVma03Wk/JO3/JO57CDln8zlnwhlH2oaUxmALYQQQrgJSdpCCCGEm5CkLYQQQrgJSdpCCCGEmxh27nEhhBATk8lk5MyZ03R0WHA4HPj6+rJo0ZJ+q7Z9VMeOHWHp0uXOserCdeQ3IIQQbsjhcHDkyGHS0xc5p5G9ciWfM2dOs2LFqnu63mATZ61cufqjhCruI0naQgjhhqqqKgkMDHQmbIC0tJkAtLW1kZubQ1dXFyqVisWLl+Hr68u1a1cpLS0BusfJz5o1m5yc46jVaiwWC0uWLOPYscP4+OgIDAzn6tUrPProx9m9eyfbtn0Ms9k07guZiL6kTVsIIdxQS0sLgYFBfbYpivLhehEXmDEjjYyMjaSkpHLlymXMZhNFRTfJytpEVtYmysvLMJmMAM5VyUpLSwgICGTbtm0D1rp7FjLJyNhIeHgEJSXF41JWcYfUtIUQwg05HA4cjjtrUn/wwUE6Oztpa+tekaylpYXLly/hcDjw9PSkoaEBvT7MOZVqaKiexsZG4M7qbs3NzYSHhwPds98VFOT3uacsZOJ6krSFEMINBQYGcuPGdefPa9euB2D37p2oVCpWrFiFj4+Pc3/vlcp69NSme+aIH26CTFnIxPXk9bgQQrihKVMiMZtNVFTcdm6rq6ujq6uLiIgpzu01NdWUlBQTEhKKwVCL3W7HbrdjMNT1WSoUwN/fn8bGBqB7PfW73b2Qic0mSXu8SU1bCCHckEqlYu3aDZw5c5rLly9ht9vx9vYiM3MjOp0HJ08ep7S0BEVRWLZsOb6+viQlTWf//mwApk2b3m9FtYSERA4fPsRbb72Fr29wv1XJZCET15MFQ4YwESaOdyUp/+Qt/2QuO0ze8pvNZozGFubMSaGgoJjLly+wfn2mq8MaVxPhdz/UgiFS0xZCCAF09yK/evUKZWXXaW5uY9GiJa4OSdxFkvZ9lp39NosWLSEk5E5b0fnzZ/Hw8HSOoRwPVquV+noDkZFR43ZPIYR70+l0rF+fOSFqm2Jg0hHtPouPT6CsrKTPtlu3yomPTxjyvPvdStHY2EBVVeV9vaYQQgjXkqR9n8XFxXPrVrnz54aGBry9venstPLee+/y3nvvcvjwIaxWKzU11XzwwfscPHiA+vp6du/eyZUr+bzzzj5yc09x8eJ53n77LU6fzgWgtbWVgwcPcOBA93XMZhMOh4M33vgH58+fZf/+bA4deg+Hw0FeXi5lZaV9hoQM5K233nBOsACwd++ePr1RDx8+NOrkf/fQkpaWZvbte7Pfcbt378RsNpObe3JE1+2e5WnwYxsbG7h48fyoYhVCCHciSfs+8/Lyws/PD4PBAEBZWQnx8Ynk5eWyZMkyMjI2MmVKJNevFwLQ1NTE2rUb0Ov1AISEhLBx42bKykoID49g06YtlJYW43A4uHTpAgkJSWRmbiQ5eQYXL15AURRMJhPx8QlkZW3CYrHS1NRIWtpM4uLimT49ech4w8OnUFtbC0B7ezs2m426ulrn/vp6A2Fh4SMuv9lsck6T2CMgIBBFUdHS0uzcVltbS0BAAL6+vixevLTP8YO9dfD29u53bG/BwSHMnTt/xLEKIYS7kTbtMRAfn0B5eSl6vZ6KittkZc3m3LkznDyZA4DNZiM0tDtJBwX1HVYREhKKSqVCq9X2+Wyz2WhoqGfevAUAhIWFc/nyRaC7HapnyEV3rb5zxLFGRERQUXGbpKRp1NXVkpCQ6EziTU1N+Pn5o9FoqK2t5cKFc6hUCj4+vixZsoy2tjZOnDgGgN1uZ8WKlZw5cxqDwcDlyxeZPXtun++krKyUOXPmAVBWVkp8fAJms4kjRw6zZcs23njjH0ydGotWqyUmZionThzHw0NHeHgEJpOJuXPnOY/dvz+bqKgo6upqaWtrY82a9ZjNJgoLr7F69VoKCq44a/xRUVHO+wohhDuTmvYYiImJpaLiNvX19fj7B+Dh4YGiKGRmbiQzcyObNm0hPX0RQL9xkL3n++39eeDap9LvuMGPHVhExBRnzbq2tpYpUyJxOBx0dXVRU1NDRET3YgRnzpxmzZp1ZGRsxMPDg7KyUsrLy4iMjCQraxPp6Ytpa2snNXUm4eERfRI2dDcb9CRRh8NBVVUFU6fG9TnGbrczZUoks2fP5fLlS8ydO4+MjI00Nzf3K6OiKGg0WtatyyAyMorbt2/1K1tGRhabNm2huLgIq9U64u9ECCEmKqlpjwGdTkdgYBD5+ZecHdBCQkKoqLhNdHQMpaUleHp6DroM3mBCQ/VUV1eRkJBIdXUVoaGhQx5vs9mH3A/dcwlrNFpaW1uprzcwf/4CQkJCqK83YDBUExERjcViwWhs4ciRDwDo6urC09OLqKgoZ/t8TEws4eHh1NRUD3gfHx8fPDw8aWpqxGq1EhwcglarxWLp6HNczxzILS3N6PVhAERHR1NTU9Pvmj1zJPv4+Pa7jkql4uDB91AUBYvFgtVqQafTDft9CCHERCZJe4wkJCSSk3Pcua7tQw8t4tSpk1y5ko9Go2bFitU0NTWO6pqzZ8/l1KkT3Lx5A7VaxZIlywc9Njg4hPPnz+Hr6zvsULOIiAiqq6tQqVRoNBrCwsIxGOqor69nxox52Gw2vLy6Z1q629atD1NZWcHZs3kkJU0jICBg0Pt0NxuUYbFYB+1Nf/ebB+j/JmG47SaTkcLCq2zZsh2tVsvevXsGjUkIIdyJJO0xMnVqLFOnxjp/DggIJCtrU59jIiKmEBExxfnzo49+fMjPWq12wNmJPvGJx52fV69e6/y8Y8cnRxRrRMQU8vMvO2uuYWHhXL1aQFCQDxqNBo1Gg6IoNDU1EhQUzLVrV4mIiKC5uRk/P3/i4uKBO+v7DraIQGxsHIcOvY/NZmPhwoeGjMnX14+GhnqioqKprKwcMJkPxmrtxNPTC61Wi8FgoK2tDbt9+LcOQggx0UnSFoSHR3DkyAfMmjUb6O4Bb7F0EBk5zXnMkiXLOXXqJCqVCm9vb6ZPT8Zud5Cbe9K5QlB6+iK8vX1oamri7Nk8Fi5M73MfDw8PPD098fLycp4zmFmz5nDq1AkKCvIJDg4ZVee64OBgdDot2dlvExYWRnJyCnl5uZNuOkYhxINH5h4fwmSfFciV5TcYDGg0aoKCgsnPvwzgfKgYL5P59z+Zyw5S/slc/olQdpl7XLgdlUrFyZM5qNVqZx8AIYSY7CRpiwkpJCSEzZu3ujoMIYSYUGScthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkKSthBCCOEmJGkLIYQQbkLj6gCEEGIyuH69kJKSYlQqFV1dXSxYsJCIiCmjuobZbKa9vR29Xk9OznFiY+OIjo4Z9HijsYUzZ07T0WEBIDRUz8KFD6FWq++5HLt372Tbto9RWHiN8PAIwsLC7vlaYvQkaQshxBgzm03cuHGdzZu3olKpMBpbyM09OeqkXVtbTWdnF3q9fthjHQ4HR48e5qGHFjnvc/p0LpcvX2TevAXDnjucWbNmjyxocV9J0hZCiDHW2dmJ3W7DbrejUqnw9w8gI2MjAE1NjZw+nYuiKGi1GpYtW0lTUyOFhddYvXotAK+//hrbtz/CxYsXUKlU+Pj4AFBdXUVh4VXMZjMrVqwmJCTEec+qqkr8/QP6PBgsWLAQRVEAOHs2D4PBgM1mIzk5hWnTppOTcxy1Wo2Xl5pZsx7i1KkcTCYTdruduXPnERkZ5bxWT01frVZz/XohGo2GpqZGYmPjmD17LtXVVVy4cB61Wo1Op2PVqjWoVNIi+1HJNyiEEGMsKCiY0FA9u3fvJCfnOGVlpdjtdgDOnDnN/PkLyczcSHj4FK5dKxjwGp6eniQlTWPGjDRiYqYCoCgK69dnMmNGGiUlRX2Ob2lpITg4pM82jUaDWq3GZrPh5eXNxo2bycraxMWL553H6HQ61q9fT2lpMWq1mqysTaxevZbTp08NGJeiKNTXG1i8eCmZmZu4du0qAFarlWXLlpOZuRGdTkdlZcW9fXmiD6lpCyHEOFi2bAVGYwsVFRVcuZLPjRuFZGRspLm52dkuHBYWTn7+pRG/Ng8LCwfAx8eH+npDn312ux2Hwz7geWq1GqvVwv792SiKgsVice4LCQkFoKGh0RmHt7c3KpWqz3G9hYSEotH0TSceHh6cPn0KhwNMJiMREREjKpMYmtS0hRBiHNhsNvz9A0hNTWPz5q20trZiNpv7HacoivMVdo/B2piHet0cGBhIfX19vxiamhqpqammpqaGjIwsMjKy+lxnqE5qd8c11PacnOOkpy8mM3Mj0dFTB72mGB1J2kIIMcZu3rxBTs5x58+dnZ1A9yvvoKAg6urqAKipqSYkJAStVovV2l2rNZmMWK1WoDs52my2Ed0zMjIKs9nE7du3nNvOnTtLaWkJFosFX19fVCoV5eVlOBwO5+v6HqGhIVRXVwE4Hy50Ot2Iy9zZ2Ymvrx8dHR3U1lZjsw1c6xejI6/HhRBijCUlTaOlpZl33tmHVqvB4YBFi5ag0WhYuDDd2RHNw8ODpUuXo9VqUavVHDnyAf7+/vj4+OBwOAgN1XPy5Am8vLyGvadKpWLt2g3k5Z3i8uVLKIpCREQE8+YtoLOzk4KCK+zfn010dAwxMVP7tVnHxSVQXV3N/v3ZOBwOFi9eOqoyz5iRyrvvvoOvry+zZs3m0qWLREfH4O3tParriL4Ux0j69ruQwWBy2b31ej+X3t/VpPyTt/yTuewg5Z/M5Z8IZdfr/QbdJ6/HhRBCCDcxrq/HbTYb3/ve9ygvL8dqtfLNb36T9PT08QxBCCGEcFvjmrT37duHh4cHr732GkVFRXzzm99kz5494xmCEEII4bbGNWlv2rSJzMxMAIKCgmhtbR3P2wshhBBubVyTdu/hAi+//DJbtmwZz9sLIYQQbm3Meo/v2rWLXbt29dn21FNPsWLFCl599VUOHTrE888/P+y4v64uGxrNva9II4QQQjwoxn3I165du8jOzuYPf/gDnp6ewx4vQ75cR8o/ecs/mcsOUv7JXP6JUPahhnyN6+vx27dv89prr/Hqq6+OKGELIYQQ4o5xTdq7du3CaDTyxS9+0bnthRdeGNXUeEIIIcRkNa5J++tf/zpf//rXx/OWQgghxANDZkQTQggh3IQkbSGEEMJNSNIWQggh3IQkbSGEEMJNSNIWQggh3IQkbSGEEMJNSNIWQggh3MS4jtMWQogHgdls4o03drNlyzaCgoIBKC6+CUBi4rQRXaO8vIzY2DiKi2/S1NTEwoXpgx7b1dXFmTOnqa+vR6vVotNpSU9fgq+v7z2XISfnOLGxcSiKgtlsJjk55Z6vJcaP1LSFEOIeBAYGcv782VGf53A4MJtNlJaWjPicM2dO4+vry9at28nK2kRCQhLHjx8d9b0HEhUVLQnbjUhNWwgh7kFwcAhdXV3U1FQTETGlz75r1646k3JMzFRmzZpNTs5x1Go1FosFm60Lg8HA5csX8fHxob29ncOHD9Hc3MSsWXNISrpTW+/s7KSqqpJHHtnh3BYXF09kZBQAJSXFFBZeQ1EUAgMDWbJkGcXFN6moqMBqtbB06Qpu3SrvF0+Pnpr+ggUP8eabu4mNjcNiMdHW1snatRtoa2sjJ+cYAHa7g2XLluPn5z82X6oYltS0hRDiHs2fv4Dz58/12WY2mygquklW1iaysjZRXl6GyWQEQKfTsWrVGlJTZxIeHsHs2XMBMJlMrF69lrVr13Pt2tU+1zOZjAQEBKAoSp/tPWs22Gw2Vq9ey8aNmzEajTQ1NQLQ1tbGhg1ZOBz2QePpTVEUTCYT8fEJbNu2DYvFSlNTI+3t7aSlzSIjYyPTpk3j+vXC+/PliXsiNW0hhLhHfn7+BAeH9HnV3dDQgF4fhkrVXScKDdXT2NidSENCQge8TmioHkVR8Pb2obPT2mef3e5gqBWUNRoNx44dQVEUmpubsFgsfe41VDx30+l0zjZ6b29vOjs78fHxIT//Eleu5GO1WggODhn2exFjR2raQgjxEcyZM5crV/Kx2wdPrD21ZLVaPeB+lepOLfruBO3v709zczM2m63P9vr6emw2G3l5uaxcuZrMzI2Eht55KOh9zcHiGW67w+Hg0qWLREZGkZm5kZkzZw94nhg/krSFEOIj8PLyYurUqc7XxiEhoRgMtdjtdux2OwZDXb/aqaIo2O22gS7Xj06nIyoqmgsX7ryGLy8v4+zZPDo7O1GpVHh7e2MyGWloaMBut/c5fyTxDMVi6cDPzw+AW7fK+11fjC95PS6EEB9RaupMZ9L29fUlKWk6+/dnAzBt2vR+Q7MCAgJpamri7Nk8goKChr3+okVLOHMmj3379qLVavHy8mL16rV4enoSFRXN22+/RWBgILNmzeHcuTOkpKQ6zx1JPEOZPj2FM2dO4+XlRVraLE6dyqGqqtLZEU6ML8UxVGPJBGAwmFx2b73ez6X3dzUp/+Qt/2QuO0j5J3P5J0LZ9Xq/QffJ63EhhBDCTUjSFkIIIdyEJG0hhBDCTUjSFkIIIdyEJG0hhBDCTUjSFkKIAZjNJl555SUMBkOf7e+8s4+cnOMcO3aErq6uEV8vP/8ydXV1Iz6+srJi1FOGtrW1kZt7clTnCPci47SFEGIQfn5+lJeXotfrATCbzVit3dOErly5elTX6r1Ix0hERUWP6njonnp08eKloz5PuA9J2kIIMYjQUD3V1dXOn8vLy5gyJQqbrYvdu3eybdvHMBjquHDhPIqi4OXlxcqVq6mtrem3LTf3JLGxcQQGBnHiRM+qWXZWrFiJoqj6baurq6WpqYnk5BSOHj1CQEAAJpOJ4OBgFi9eyokTx9BotJjNRtrb21m6dAUeHjqOHDnMli3bXPJ9ibEnSVsIIQahUqkIDg7GYDCg1+uprLxNaupMysvLnMcUFl5j4cKHCA+PoKyslPb29gG39SgvLyMyMpLZs+dSX19PW1s79fWGftt69CwEsnbtery9vcnOfpumpkYURUFRFNavz6Si4jb5+ZdYuPCh8fx6hAtIm7YQQgwhNjaOsrISWltb0Wp1aDSau/bHkpt7kvz8S4SEhODr6zvgth6RkZEUFd3k7Nk8bDYb4eHhA27rzd/fH29vb6B7He+WlhYA53GhoXqMxpax/BrEBCFJWwghhhAZGUVNTQ23bpUTGxvbb39i4jQ2bMhCp/Pgvff209jYMOC2HkFBwWzd+jChoXrOns3j+vXCAbcNZaDVuAZbuUs8WCRpCyHEEHpekRcV3SA6emq//ZcvX0Sj0ZCcnEJUVAzNzU0DbutRWlpCS0sLcXHxpKXNpKGhfsBtvRmNRtra2gBobGwgICAAgNraWgAaGurx9w8Yq69ATCDSpi2EEMOIjY3DYulAp9P12+fj48OBA9nodB5otRqioxdw+3Z5v209Hdr8/QPIzT3pXFs7PX0RDgf9tjU1NTrvERAQwLlzZzAajej1YQQGdq8MZrN18d5772KxWFm+fMVYfw1iApBVvoYwEVZ7cSUp/+Qt/2QuO0ys8pvNpgF7hOfkHCc2No7o6Jj7fs+JVP7xNhHKLqt8CSGEEA8AeT0uhBATmK+v34Djrpctk9fhk5HUtIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3IUlbCCGEcBOStIUQQgg3oTgcDoergxBCCCHE8KSmLYQQQrgJSdpCCCGEm5CkLYQQQrgJSdpCCCGEm5CkLYQQQrgJSdpCCCGEm5CkPYSGhgaefPJJPv3pT7Njxw4uXLjg6pDGlc1m45lnnuHxxx/nscceIy8vz9Uhjau8vDyWLFnC4cOHXR3KuPrNb37DJz/5SR555BHy8/NdHc64u3HjBuvXr+evf/2rq0MZd7/61a/4xCc+wSOPPMK7777r6nDGVXt7O08//TRPPPEEjzzyCIcOHXJ1SAPSuDqAiezNN9/k4YcfZuvWreTl5fHss8/y4osvujqscbNv3z48PDx47bXXKCoq4pvf/CZ79uxxdVjj4tatW7z00kssWLDA1aGMq9zcXPLz8/n73//OjRs3+M///E9effVVV4c1btra2vjhD3/IkiVLXB3KuDtz5gzXrl3j9ddfp7m5mW3btrFx40ZXhzVuPvjgA2bdN/9kAAAKL0lEQVTOnMm//uu/UllZyec//3nWrVvn6rD6kaQ9hCeffNL5uaamhvDwcBdGM/42bdpEZmYmAEFBQbS2tro4ovGj1+v53e9+x3e/+11XhzKuTp8+7fxDNX36dOrq6mhvb8fLy8vFkY0PnU7Hn/70J/70pz+5OpRxN2/ePH79618D4O/vT2dnJ3a7HZVqcryQ3bx5s/PzRP57L0l7GAaDgS9+8Yu0t7fzyiuvuDqccaXT6ZyfX375ZbZs2eLCaMbXZElSdzMYDKSkpDh/Dg4Opr6+npiYGBdGNX40Gg0azeT8s9i77Lt27WLVqlWTJmH3tmPHDurr6/njH//o6lAGNDn/dQ5g165d7Nq1q8+2p556ihUrVrBnzx6OHDnCN77xDf73f//XNQGOsaHK/+qrr3LlyhWef/55F0U3toYq+2Sj1Wr7/OxwOFAUxUXRCFc4ePAgO3fu5KWXXnJ1KC6xa9cuCgoK+PrXv87evXsn3IOLJO0P7dixgx07dvTZdvr0aZqbmwkMDGT16tV8+9vfdlF0Y2+g8kP3P+CDBw/yhz/8oU/N+0EyWNknI71eT0NDg/PnxsZGQkNDXRiRGE/Hjx/n97//PS+88AL+/v6uDmdc5efnExISQmRkJGlpadjtdpqamggJCXF1aH1MrEeICeaDDz7grbfeAuD69etERES4OKLxdfv2bV577TWee+45PD09XR2OGAcrV6509potKCggJiZGfveThMlk4qc//Sl//OMfCQoKcnU44+7ChQu8/PLLANTX19Pa2johvwdZ5WsITU1NfPvb36a1tZXOzk6eeeYZ5s6d6+qwxs2vfvUr3nnnHSIjI53bXnjhhQe2xt3bkSNHeOGFFygpKSE4OBi9Xj9pRg784he/4OTJk6jVan70ox+RnJzs6pDGzZUrV/jZz35GZWUlGo2G8PBwnn32WQIDA10d2ph7/fXXefbZZ4mPj3du+9nPftbn//8HmdVq5ZlnnqG6uhqr1cpXvvIV1qxZ4+qw+pGkLYQQQrgJeT0uhBBCuAlJ2kIIIYSbkKQthBBC/P/t3WtIk/0bwPHvNo3S7LGyZEFCSFBYWS2wFq5eRYV0sEgTFg0Ts2LRgQKP1epFpmiaWWRYmdr5QBCd0axVL7IkS4K0jBZNLeaaVjbn8yIamYfy3/95nvY81+fVvO/7d/+un2+u3Yddl4eQpC2EEEJ4CEnaQgghhIeQpC1EHzQ2NrJs2TKWLl36w2OtVit37tzpsv3MmTNotVr0er27o9Du3bu7PcfNmzfJz8/vc5w1NTWYTKY+jwPIzc0lKyury3an00lWVhbz5s0jJiaGyMhIioqK/qc5ficXLlzA5XL902EI8VOkIpoQfbB+/XrCw8N/ql3nvXv3qK2t7bZjlFarJSMjA/iSDPV6PRMmTOj0u1CXy4VOp0On0/U5zrFjx5KSktLncb3JysqisbGRU6dO0a9fP5qbm4mNjcXPz48FCxb8X+f6O+Xm5jJnzpzfrlylEN2RpC1EH+Tn5/P48eNOSbulpYUNGzZgt9tpbW1l5syZLFq0iOzsbDo6OvD398dgMPR4Ti8vLyZMmEBdXR2jR48mISGBkJAQRo4ciVqtxmw2k5GRwYwZMzAYDJSXl2OxWEhLS2P69Om8ePGCrVu34nQ6AUhPT+fly5dkZ2dTWlpKTEwMoaGhPHv2DIvFwpo1a5g7dy719fUkJiaiVCppaWlh3bp1PdZb//DhA8ePH+fGjRvu4jp//PEHhYWF+Pr6AnDq1ClKS0vp378/Q4cOZceOHfj4+DBlyhRWrVpFRUUFLS0txMfHc+LECZ4/f47JZEKr1fYYY1NTE0lJSTgcDj59+sSKFSuYPXs22dnZOBwO3rx5Q11dHWFhYaSlpdHR0UF6ejqPHj2ivb2dkJAQkpKSuHv3LgUFBajVap4+fYqXlxcHDx6koKCA+vp6li9fzp49e/4TRVSEZ5OvlkL0wcCBA7tsM5vNfP78mZKSEs6ePUtAQACBgYEsXLiQefPm9ZqwAex2O2az2V1tr7a2lri4OFavXt3pOJVKhbe3N4WFhaxatYqjR48CsH37dpYtW0ZRURELFy7k8uXLXca5XC4OHDhAXl4e27dvx+VyYbVaiY+Pp6ioiOTk5G5viX9VX1+PWq3uUo/az88PpVLJ69evycnJ4fDhwxQXF6NWqyksLESlUtHa2sq4ceM4cuQIPj4+lJWVUVBQwMqVKzl27FivMebk5KDRaCguLmbfvn1s27YNh8OBSqWiurqa7OxsTp8+zblz57DZbFy6dAmbzcbRo0cpLS2loaGBK1euoFQqefDgAWvXruXkyZN4e3tz+/ZtjEYjAIcOHZKELTyCXGkL8YtCQ0PZtWsXRqMRnU7H/Pnzf1jq1Ww2o9fr3X8bDAY0Gg2vXr1i0KBBBAcHdztu6tSpAKjVapqbmwF4+PChuw9yZGQk8OXW/LfCwsIA3CUq3717h7+/P5mZmezfv5+2tjZsNluP8TqdTtrb23vc/+TJE8aPH+/+UjNt2jRKSkrc+ydPngxAYGAgkyZNcn9+//59rzFWVVURExMDQEBAAGq1mrq6OgA0Go27neTgwYOx2+1UVlZSWVnp/t86HA4sFgv+/v4EBwczbNgwAEaMGNHreoX4XUnSFuIXDR8+nIsXL3L//n2uX79OXl4e58+f73XMt8+0v9dbwv+21/O3FYh/VI342/0ulwuFQoHJZCIiIoKoqChqamq6XNl/a9SoUVitVt6+fdup69GbN2+6nb+jo6PTM2KVStXt557W8DXG3s77fd/rr21ElyxZQmxsbKd99+7d+8/2yRb/LnJ7XIhfdOvWLa5evUpYWBiJiYl4e3tjsVhQKBR8+vTpL59/4sSJVFRUAHDx4kUyMzO7HPP1Lfbnz5/j5eXFkCFDsNls7qvaCxcu0NbW1uMcvr6+LF68mC1btvDx40fgy239devWcffuXcaPH091dTUOhwP40uIxNDS0T+voLsZJkya512a1WmloaOjU0OJ7Go2Ga9euuZ/v7927l9ra2l7nVSgU7jUJ8buTr55C/KTXr1+zefNm7HY7r169Qq/XM2PGDCIiIti8eTPFxcV8/vwZnU7HmDFjaG5uZv369fj4+Lifnf4VkpOTSU1NpaSkBKVSyc6dO3n58mWnY5xOJwaDgYaGBlJSUlAoFMTGxpKamsqwYcOIi4ujvLyc9PR0BgwY0O08mzZtIj8/n6ioKAYOHEh7ezvR0dHuN8eNRiPLly+nX79+qNVqNm7c2Kd1dBej0WgkKSmJsrIy2traMJlM7hffujNr1iyqqqqIjo5GoVAwZswYgoKCaGpq6nFMeHg4S5cuJS8vj6CgoD7FLMTfTbp8CfEvp9frSUhIQKvV/tOh9MgTYhTidyC3x4UQQggPIVfaQgghhIeQK20hhBDCQ0jSFkIIITyEJG0hhBDCQ0jSFkIIITyEJG0hhBDCQ0jSFkIIITzEn+f1dc08yLRUAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 0,1 denote PC1 and PC2; change values for other PCs\n",
    "xvector = pca.components_[0] # see 'prcomp(my_data)$rotation' in R\n",
    "yvector = -pca.components_[1]\n",
    "\n",
    "xs = pca.transform(usarrests_scaled)[:,0] # see 'prcomp(my_data)$x' in R\n",
    "ys = -pca.transform(usarrests_scaled)[:,1]\n",
    "\n",
    "## visualize projections\n",
    "\n",
    "plt.figure(figsize=(8, 8))\n",
    "\n",
    "for i in range(len(xvector)):\n",
    "# arrows project features (ie columns from csv) as vectors onto PC axes\n",
    "    plt.arrow(0, 0, xvector[i]*max(xs), yvector[i]*max(ys),\n",
    "              color='r', width=0.005, head_width=0.1)\n",
    "    plt.text(xvector[i]*max(xs)*1.1, yvector[i]*max(ys)*1.1,\n",
    "             usarrests.columns[i], color='r', size=14)\n",
    "\n",
    "for i in range(len(xs)):\n",
    "# circles project documents (ie rows from csv) as points onto PC axes\n",
    "    # plt.plot(xs[i], ys[i], 'bo')\n",
    "    plt.text(xs[i], ys[i], usarrests.index[i], color='black', alpha=0.4)\n",
    "    \n",
    "plt.title('Biplot PC1 & PC2', size=16)    \n",
    "plt.xlabel('1st Principal Component')\n",
    "plt.ylabel('2nd Principal Component')\n",
    "\n",
    "m = 0.5\n",
    "plt.xlim(min(xs) - m, max(xs) + m)\n",
    "plt.ylim(min(ys) - m, max(ys) + m);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([2.53085875, 1.00996444, 0.36383998, 0.17696948]),\n",
       " array([0.62006039, 0.24744129, 0.0891408 , 0.04335752]))"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_, pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scikitplot.decomposition import plot_pca_component_variance\n",
    "\n",
    "plot_pca_component_variance(pca, target_explained_variance=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 12.5.2 Matrix Completion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 12.5.3 Clustering\n",
    "\n",
    "### K-Means Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "\n",
    "x = np.random.normal(size=50*2).reshape(50, 2)\n",
    "x[0:25, 0] += 3\n",
    "x[25:50, 1] -= 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=2, n_init=20, random_state=42)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmeans = KMeans(n_clusters=2, random_state=42, n_init=20)\n",
    "kmeans.fit(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0], dtype=int32)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5uTh16hRSU1ONOp7IyEi88sor2LhxI7Zt2wagaZ/5lpWV4d///jceeOABBAYGIjc3V+cPtW0MX2pR8+fPR9euXTF37lyd61YbM2HCBKjVau3KXH369++PL774AkeOHMGkSZPw4IMPIi8vDz/88IP2F/3y5ctRWVmJKVOmYMmSJZgzZw6effZZuLu747HHHtN+NtyQwYMHY/Hixfjpp58wceJE3H///YiLi8OqVavg4+NT73a9evXCli1bEBQUhLfffhtjxozBiy++CKFQCIVCgdGjR+vdzsfHB4sWLcLOnTsRGRmJN954A/PmzQNQ+/khUDt97Onpieeffx4jR47EvHnzMGzYMO3r+vbti+joaCxfvhzvvPMOAOC9997DxIkT8e6772LMmDF48803MXz4cLz77ruNfg+aw8fHBx9++CESExMxbdo0LF++HAsXLoRUKq33jRRQO93et29f3Lx5Uyd8e/XqhYyMjAY/750yZQp8fHzw1FNPYdOmTUYdD1D7Ri8mJgZvv/02EhISmrRNfHw8bt++jfXr12PgwIF1/lDbJtC05JJMImqTCgsL4eDgoP2MtKysDFFRUVixYoXOZU1EbRUXXBGRURUUFGD48OGIiYnBc889B7VajS+//BKurq4YPHiwucsjahV45ktERhcXF4ePPvoICQkJkEgkCAsLw2uvvdaka4iJ2gKGLxERkYlxwRUREZGJMXyJiIhMzGQLrnJzSxp/kYWSyexRWHhvz05t7ax9jByfZbP28QHWP0ZrHJ9cXv+tWnnmawRiscjcJbQ4ax8jx2fZrH18gPWP0drH93cMXyIiIhNj+BIREZkYw5eIiMjE7mnB1UcffYTY2FjU1NTgySefxNixY41VFxERkdUyOHxPnTqFhIQEbN68GUVFRZg0aRLDl4iIqAkMnnaOiIjAJ598AqD28WU1NTVQq9VGK4yIiMhaGXzmKxaLtQ/gVigUGDJkCIRCfoRMRETUmHu+t/P+/fvx5ZdfYt26ddoHeOujVKra3HVcRERE+tzTgqsjR45g5cqVWLNmTYPBC8Dq7lxyN7ncyarv4AVY/xg5Pstm7PFlphfh6IEU5GSXws7eBuE9vRE1yB8CgcBox2gu/gwtT0N3uDI4fEtKSvDBBx/gu+++g0wmM3Q3REStSmpKAX786hQKCyq0bYnxt5CXW4bx07qZsTKyJgaH765du3D79m28/PLL2rZly5ahffv2RimMiMgcftt7TSd4AUCtBk4dS8XgkUFwcrY1U2VkTQwO3xkzZmDGjBnGrIWIyOxupt/W215aXI0Lp29iwLCOJq6IrBGXJxMR3UUirf+cxMFRYsJKyJoxfImI7tIpxF1vu7evM8Ij+bEaGQfDl4joLmOndEXX7p4Qiv5a2Sz3dMTEB8IgEvFXJhnHPV1qRERkbWwkIvzj+Whcjc/BjeQCODpKEDXQv8HpaKLm4r8mIqK/EQgE6BLmiS5hnuYuhawU51CIiIhMjOFLRERkYpx2JiKiJsvLKcXZ2AwIhAL06ucHmZu9uUuySAxfIiJqkl+3JeDYoRRUlNcAAI7sT8aQUZ0wfGywmSuzPJx2JiKiRl25lI3f9iZpgxcAykqrsX/nVaSmFJixMsvE8CUiokadj7sJZY26Tnt1lQpnTqSboSLLxvAlIqJGVVep6u2rqa6/j/Rj+BIRUaN8/F3q7fML5GNlm4vhS0REjRo4rCMCgtzqtHfq4o6oAf5mqMiycbUzERE1SiIV4/EXorF/51WkXS+CQAAEdHTDiAkhEIl5HtdcDF8iImoSO3sJJk4PN3cZVoFvV4iIiEyM4UtERGRiDF8iIiITY/gSERGZGMOXiIjIxBi+REREJsbwJSIiMjFe50tEZICsjGJcu5oLuYcDQsI8IRAIzF0SWRCGLxFRMyiVamxadxoJF26hqlIJgbD2Tk8PPBoJuaejucsjC8FpZyKiZti55RLOncxEVaUSAKBRA9evFWDLj+fMXBlZknsK38TERIwYMQI//vijseohImq1NBoNEuNz9PbdSC5A2o1CE1dElsrg8C0vL8eSJUvQr18/Y9ZDRNRqaTRARXmN3j5ljRoFuWUmrogslcHhK5FIsHr1anh4eBizHiKiVksoFEDu5aS3z9nFFp1D5SauiCyVwQuuxGIxxOKmby6T2UMsFhl6uFZPLtf/H9KaWPsYOT7LZqrxjZkUirVfnNA9AxYA/YcEIiDQvUWPzZ+h9TDZaufCwnJTHcrk5HIn5OaWmLuMFmXtY+T4LJspxxcY3A4PPBKB2CM3kJdTBkdnKbr19MbQUZ1atAb+DC1PQ28meKkREVEzhUe2R3hke3OXQRaMlxoRERGZmMFnvpcuXcKyZcuQmZkJsViMPXv24LPPPoOrq6sx6yMiImoxGo0GSQm5yMkqQeeucnh6O5vkuAaHb1hYGH744Qdj1kJERGQyeTml+Onbs7iRnA+1GrC1E6Nrdy888GgkxOKWnRjmtDMREbVJ//3hHFKSaoMXACorlDgTm4FdW+Nb/NgMXyIianPSrhfg+rV8vX1X67mLmTExfImIqM3JyymDSqnR21dRXgO1Wn+fsTB8iYiozekcKoejs1Rvn4enI4TCln1EJMOXiIjaHCdnW/Ts7VOn3dZOjL5DAlr8+LzJBhERtUmTZoTDyUWK+HPZKCutRjsPB0QP8kf3XnVD2dgYvkREzXQzrQinYzOgrFGhU6gcYT29IRC07DQlGZ9QKEDMuBDEjAsx+bEZvkREzXBg11Uc/DUJVZVKAMCx364jPKI9Zj/ZGyIRP8mjpuG/FCKiJrqVVYJDu/8KXgDQqIELp2/i6IEUM1ZGlobhS0TURKdPpKGyQqm379rVXBNXQ5aM4UtE1ERqVf3XftZ3zSiRPgxfIqIm6trDC2Ib/b82/QL5UBlqOi64IqJW6XZBBQ7tTUJ2ZjEkEjFCwz0QPSTQrKuKO3Z2R69oP8QeSdVpD+jkhmGjO5upKrJEDF8ianUK8sux9rPjyM4s0bZdvpCNmxnFmPZgTzNWBtz/UE/4B7nhyqVbUNao4evviiGjOkEq5a9Tajr+ayGiVufw7iSd4L3jTGwG+g0JQHs/VxQVluPogRQU5lfAw9MJPfu2N8mzWAUCAaIG+CNqgH+LH4usF8OXiFqdzLTbeturKpW4dC4bNTVqbPgmDvm55dq+E0euY8rsHuge2d5UZRIZjAuuiKjVEdvU/7muRCLCvh1XdYIXAEqKq3BoV2KLP42GyBgYvkTU6nTqItfb7iKzRY/ePki/Xqi3PyOtCJlpRS1ZGpFRcNqZiExKpVIj7lgaUlMKILYRIbKvLwKC2um8ZviYYGRlFCP+XBZUf15b6+Rii7FTusLeUQLUd2IsAIS8xzJZAIYvEZlMTY0K676IRWJ8jrYt7lgaho8Nxojxf93cXiQW4qGn+yDxcg6SruRCKhGj7+AAOLvYAgD8O7rh8vnsOvv385ehfQeXlh8IaanVGsQeuYGky7lQqdXoECjD4JGdYGMjMndprRrDl4hM5sCuRJ3gBYDqKhV+33sNEX180c7DQdsuEAgQ0s0TId086+xn9H1dkHurFLnZpdo2F5ktRk4I4dOFTEij0WDT2tM4E5uhbYs/l42khFw8/kI/BnADGL5EZDKp1/L1tpeX1+B0bDpGTezSpP34+LlizuuDceRACgrzy+Dh6YyIvj6QtbM3ZrkAas/s4o6nITkxDyKhAN16eKNrDy+GPIDL57Nx7lRGnfZrV/Jw9EAyho0JNkNVloHhS0Qm09BCZE0zVynbO0gwelJtWMvlTsjNrXtd8L1SqdT4ftVJxJ/7a4o77ng6+g0JxJRZ3Y1+PEuTeDkHarX+vtSUAtMWY2G42pmITKZDoExvu62tGD2jfExcTeOOHbquE7xA7cMVYo/cQDKfYgShsP4IEfLZxg3id4eITCZmXDACO7nptIlEAkQPDTTJ3amaKyUpT2+7skaNS2ezTFxN69Ozjw9sJPo/1w3u6mHiaiyLwdPOn376KY4fP47q6mosXrwY4eHhxqyLiKyQrZ0Nnnp5AI4eTEFGahFsJCKER3ijW09vc5eml6ahaXLeywP+QW4YPDIIv+9LRk21CgAgFAnQs48Pb7/ZCIPC98SJE7h48SI2bdqExMRELF68GOvXrzd2bURkhWwkIgwbYxlPAOrYuZ3eM1yRWIDwyNb5hsHUxk7uiq49vHD+ZCZUajW6hHmiS5gnF6Q1wqDwjY2NRUxMDAAgODgYOTk5qKiogJ2dnVGLIyIypwHDOuLa1Tyda4qFQqDvoAAEhei/C1db5B/oBv9At8ZfSFoGhW9ubi66dPnrkgA3Nzfk5eXBz8/PaIUREZmbSCzEI89GIe5YGlIS8yEUCdCth1ernSYny2FQ+NrY2Oh8rdFoGp1ikMnsIRZb7wXXcrmTuUtocdY+Ro7PsrXk+CZMbR1rWkz1M1Sp1BCZYbWytf8bvZtB4SuXy5Gf/9fF8gUFBXB3d29wm8LC8gb7LVlLXWPYmlj7GDk+y2bt4wNafowajQYHf03EhdM3UVxUCVeZHXpG+WDwyE4m+fzWGn+GDb2ZMOitzeDBg3HgwAEAQHx8PPz8/GBra2tYdUREZHa7/5eA3dsSkJl2GyXFVUhPLcLOLfE4uCvR3KVZJYPOfMPCwtClSxdMmTIFIpEIS5cuNXZdRERkIjXVKpw7mVnn8im1GjhzMgNDR3eGSGz5t4XQ/DnA1rAS2+DrfF977TVj1kFEZNVSkvIQ90cayspq0E5uj0ExQS1yL2pD5OeVIT+3TH9fThlKiivh6tY6ajXEraxi7Nt+FanXCyEA4N9RhjGTQ9FO7mi2mnhvZyKiFnb8t+vYuSUelRVKbVv8uWw89HQf+Pq7mrGyWs4utnBwkqCspLpOn4OzFPYOEjNUZRxlpVX47suTyMn66wlYBXnlyM4qwT/nDYKtrU0DW7ccy59HICIystKSKuzcGo91n5/A+m/icPHMTYP3VVOjwm97r+kELwDk55bhwK6rAIDysmr8vv8aDu9NQklx5T3Vbgh7BwlCuum/HWSXbh6QSC33PO33/ck6wXtHVnoxjh5IMUNFtSz3O0pE1AIK88ux9osTyEov1rZdPHMTw0Z3xuj7Qpu9vyuXbiEvR/+UbvqNIhw9mIyDvyahuKg2dA/vScKgmCDEjAsxbAAGmvZgTyhr1Lh6OQdVFUrY2dugS5gnJlv405vy6/neA6j352IKDF8iorsc2JWoE7xA7YMUjh2+jughAXBxbd6d/Bq6v4FarcbubQk6Z8WlxdXYvyMRHQJl6BxquocTSKViPPxMFPJySpGZVgS/ABnc3B1MdvyW0tCUuZ29eaacAU47ExHpSE8t1NteVlqNM7F1HxzfmJBuHmjvq/+JTVKpuM50NFA7VX32ZPOPZQzuHo7o0dvXKoIXAKIG+MPeoW7IOjpJ0G9IgOkL+hPDl4joLqIGnlFrY8DlNkKhAKPvC4WLTPdeCL4BrmjvV/9iq6rKuqFMzecb4IoJ08Pg4fXXymZPb0fcN6M7PLzMd0ctTjsTEd0loJMb0q7XPft1dbND7/4dDNpnt57e8A1wxR+HrqO8tAqe3s6IHhKA2CM3cD4uU+82Xj6t7/nGlipqgD8io3wRfz4bQpEAXcO9zH7dMsOXiOguo+8LRVZ6MZKu5GrbHBwlGDkxBLZ2tdOXmelFOPHbDRTfroKrzBYDhnds9CzKxdUO46Z01WmLHhSA83GZuJ5UoNPu6++KQSOCjDQiAgCxjQg9evuYuwwthi8R0V2kUjGeeKkfzsRmIP16IaS2YvQd5A93j9ppy4tnbmLr+nMoKf7rmthL57Iw45FIBNdzuU59xDYi/OOf0di7/QpSUwqgUWvQIdANIyYEm+36UzINhi8R0d+IREL06d8Bff42zazRaHBod6JO8ALA7cJKHPw1sdnhC9Suxp0807Iv56Hm44IrIqrXtSu5OLwnCYmXc7T3xW3Lcm+VIiO1SG9f2o1ClBRXmbgislQ88yWiOkpLqrDhm9NIvpoLlUoDoUiAoOB2+L8n+sDJWWru8sxGJBJCKBRCrVbr7ROJzH/DfrIMPPMlojq2bbyAxMs5UKlqz3bVKg2SEvKwdf15M1dmXgXpDa8AACAASURBVO3kDvAPctPb5x/kZtH3QCbTYvgSkY6K8hpcu5qrty/5ah7KSuvefL8tGXNfKNrJdW9A4eHtiLFTmn/rSWq7OO1MRDoqKmpQUV6jt6+8rBrlZdVwcGy7Z3iBndvhhTcG49ih67hdVAnXdnYYOKyj9jIkoqZg+BKRDleZHTy8nJGVcbtOn1d7J7i1kmfQmpODoxQjJ3YxdxlkwRi+RKRDKBSg76AO2LklHjXVfy0sEtsI0Wegf4N3BtJoNPh9XzIunc9CeUk13OT26DckAF27e5uidCKLwfAlojoGDg+Cnb0NTh9PR1FhJVxltugZ5YuoAf4Nbrfzv/H4bd813Lkq6VZWCa5fy8cDj0Sie2R7E1ROZBkYvkSkV6/oDugV3fR7GZeVVuHMyQz8/XLgynIljh9OYfgS3YWrnYnIKJIu52ofCP93t26WQK3mTTqI7mD4EpFRyNztIRLrv8mErb0NBLz/BJEWw5eIjMK/oxsCgtrp7QsO9YCA6UukxfAlIqOZOrs7AoLctGe5EqkI3Xu1x4T7u5m3MKJWhguuiMhoPL2d8c/5gxB/Phv5OaXoGOwOvwCZucsianUYvkRkVAKBAGE9eV0vUUM47UxERGRiBofvyZMn0a9fPxw6dMiY9RAREVk9g8I3LS0N69atQ69evYxdDxER/am6SomEC9nITCsydylkZAZ95iuXy/H555/jzTffNHY9REQEYP/Oqzh5NBUFeeUQiQXo3MUD46d1hbevi7lLIyMwKHzt7OyavY1MZg+xWGTI4SyCXO5k7hJanLWPkeOzbNY0vqMHk7F/51Uoa2ofbKFSanDl0i1UVirx9rIxEIqsc7mONf0MG9No+CoUCigUCp22OXPmYNCgQc06UGFhefMqsyByuRNyc0vMXUaLsvYxcnyWzdrGd+TgNW3w3u3GtXzs3XUFvaL9zFBVy7K2nyHQ8JuJRsN3+vTpmD59ulELIiKi+pWWVNXbV5BXZsJKqKVY59wFEZEFc3N30NsuFAl40xIrYdBnvocPH8aaNWuQkpKC+Ph4/PDDD1i7dq2xayMiapP6DQ1A8tU8lJVW67R36uKOkG4eZqqq6VRKNU4dT0NaSiEkEhEio33RIdDN3GW1KgaF79ChQzF06FAjl0JERADQuYsHpj/cE0cPpiA7sxgSqRhhPb0xclJIq39ARXWVEuu+OIGkhDxt26ljaRgxPhjDxgSbsbLWhbeXJCJqhcIi2iMsoj1qalQQiYTw9HS2iAVJ+3cm6gQvAFRVKnF4zzVERPnC1c3eTJW1LvzMl4ioFbOxEUEobN1nu3e7kZyvt72stBpxx9NNXE3rxfAlIiKj0Wga6FM30NnGMHyJiMho/AJc9bbb2osR0dfXxNW0XgxfIiIympjxIfDvqHs5lEgsQP+hHeHu4WimqlofLrgiIquh0Wjw+95rOH86E8W3qyBzs0dktC/6DQk0d2lGUVxUiT8OX0dFWTW8fZ0RNcAfInHrOodycJDg6bkDcORAMm6m34aNRIzuvdqja3cvc5fWqjB8ichq7P3lCvbvugrNn3dmLCqoQNqNAlRXqzBkZCfzFnePTp9Iw3dfxeJ2YeVfbcfT8chzfeHkLDVjZXVJpGLEjAsxdxmtWut6y0REZKCaahXOxGZog/cOlVKDuGPpUFvwYh+VUo0tG87pBC8A3EguwK8/x5upKroXDF8isgo5WSXIz9V/3+P83FKUFtd/v+TW7tK5LGSm3dbbd/1agYmrIWNg+BKRVXBxs4OdvY3ePnt7Sb19lqCmWllvn1pluWf0bRnDl4isgqOTFMGhcr19wd3ksJFY7vPEw3v51LtS2DfAxcTVkDEwfInIakx9sCe6dvfSBq3Utnal7eSZ3c1c2b2RSsUYNSEEEqnuGwh3T0cMH8v7JVsirnYmIqvh4CjBY3OikZlWhPQbRQjs7AZPb2dzl2UUoyd1hYOzBGdiM1BeVg13D0cMHhEEWTveK9kSMXyJyOr4dHCFTwf9d1qyZCHdPBHSzdPcZZARcNqZiIjIxBi+REREJsbwJSIiMjF+5ktE1AYU5Jfj4K5EZKYXwUYsQscQd4wYHwJxK7s3dFvB8CUisnK3Cyuw9j/HkX2zRNuWkpSP7IzbeOS5vhAIBGasrm3iWx4iIit3eE+STvDecflCNi5fyDZDRcTwJSKycvqCFwDUaiAlMd/E1RDA8CUisnoSaf2fMEqllnvbTUvGz3yJiKxM/LksXDybBWWNCn6BMnTpJsflC1l1Hrfo5CJF9OBA8xTZxjF8iYisyP82X8TRg8naoD13KhMdg9shelAAzpzMQFVF7ROSXGV2GDMlFM6utmastu1i+BIRWYHqKiU2rDmNS2ez6vSlJOajY7A7XlgwBBfP3IREKkKf/v4W/ZhFS2dQ+KpUKixcuBCpqamorq7GvHnzEBUVZezaiIioidZ/E4f4c/WvXE5NKcCY+0LhOT7EhFVRfQwK3+3bt0MqlWLDhg24du0a5s2bh61btxq7NiIiaoLU6wVIjM9t8DVCXsvbqhgUvuPGjcPo0aMBADKZDGVlZUYtioiImu7GtQLU1KgafE1AJzcTVUNNYVD4SiQS7d+/++47TJgwwWgFERFR83h5O0EorL1uV5+Qbh4YNrqzaYuiBgk0Go2moRcoFAooFAqdtjlz5mDQoEFYv349Dhw4gFWrVukEsj5KpQpiMa8nIyIyNo1Ggw/e2ocrl27V6Yse5I+nXhoIkYi3dWhNGg3f+igUCuzatQtffvklbG0bX6qem6v/DivWQC53surxAdY/Ro7Psln7+IDGx1iQX46tP55DSlI+qqtUcGtnh179OmDUpC4Wce9ma/wZyuVO9fYZNO2cnp6ODRs2YP369U0KXiIiallu7ezxxIv9kXurFLcLK+AXKIO0gTtbkXkZ9JNRKBQoLi7G008/rW1bs2ZNo1PPRETUsuSejpB7Opq7DGqEQeE7d+5czJ0719i1EBERtQn8BJ6IiMjEGL5EREQmxvAlIiIyMYYvERGRiTF8iYiITIzhS0REZGK8ApvaHFVVDdJ+2IPbF5IhcrCD7/1DIR/Ty9xlEVEbwvClNqW6uAxxDy1FwYnL2rbMnw6h+p1H4PnQmHvat0ajQeaW35Cz/zTU1Uq4RnZG4OPjIbKT3mvZRGRlGL7UpiR9uFkneAFAWVqBiys2w2V0X9h6yAze98V5q5D2415AXXu79Oydx5Fz4Az6rn8LInsGMBH9hZ/5UptSePqq3vbKW4XI+OmwwfvNPxGP9M0HtcF7R8GxS0j+cpvB+yUi68TwpbalwYd4GfSALwDArd2noKmq0dtXeDrR4P0SkXVi+FKb4hqh/4HiUrkLfO8fYvB+BeL6/ysJ+BxVIvob/lagNiX4lRlw7RWs0ya0k6Dri9Ng69XO4P36TBkMsaOd3r52A8IM3i8RWScuuKI2ReLmjH7/XYLra3ei+NJ1iB1s0X7yIIROHXBPD/J27haAwGcmIeWLbVBVVNU2CgXwGhuNwCcmGKn6Whq1Glm7TqD0ajqcQv3hNbavRTwsnYj+wvClNkdkL0Wn56cafb8hr82Cx/BeyPz5d2iqlWg3KBze4/tBIDTeBFNFZi7OPPsRCk9dqV3cJRTALSoUEategZ234WfuRGRaDF8iI5L1Cobsb9PaxnTpzW9QGJvwV4Nag4ITlxG/8Bv0XjO/xY5LRMbFz3yJLER1fjHyj13S25d/7BKqCw2fNici02L4ElmImpIyKEsr9PYpSyqgLCk3cUVEZCiGL5GFsPfzgHOov94+51B/2PnKTVwRERmK4UtkIQQiEfwfGQORg61Ou8jBFv6PjDbqwi4iallccEVkQfwfHg1JO2dkbD6EyuwC2Hq7wfeBYfAe38/cpRFRMzB8iSyM9/h+DFsiC8d5KiIiIhNj+BIREZkYw5eIiMjEGL7UpqjKq5D7+zmUJKabuxQiasMMWnCVn5+PefPmobq6GpWVlXjjjTcQERFh7NqIjCrx35uRvukAKtJyILSVwK1vV4QtexqOgd51XqvRaAC1GgKRqMn7L72WgeKEVMh6h8DO292YpRORlTEofLdt24bJkydj4sSJOHnyJD777DOsXbvW2LURGU3qD3uQ9PFP0NSoAADqymrk/XYO51/4FP1/eV/7OlV5FS4vXoe8IxegLK2AU4gfAh4bD6+xfevdd3VhCc6/9Dnyj56HsrQSNm5O8BodhfAVz0JowwsKiKgug34zPP7449q/Z2dnw9PT02gFEbWEm//7Qxu8dyuMu4pbu0/C4+ERAIAzz/wbt/ac1PZX3SrE7YvXIbSVwGOY/tmdC6+uxK3dsdqvawpKkL7xAMRO9ui25HG925hSdUExTn+8GdlnrkHsYAvPMVHwmTzI3GURtWkGvy3Pzc3F008/jYqKCnz//ffGrInI6KrzbuvvUGtQlnITAJB/Ih45h8/WeUlNYQlSv9ujN3wrMnKQ+/t5vbvO2X8aoW8/CqG46VPXxlZxqwCnZr+H4osp2rasHcdQfCEFoYseMVtdRG1do+GrUCigUCh02ubMmYNBgwZh69atOHz4MF577TV8++23De5HJrOH2Iy/hFqaXO5k7hJanCWP0TWoPUoSUuu0C6USBIyoDdXqy9ehqarRu33NzRy94795MQmqYv0PNKgpLIbMXgyJi+M9VH5vji9eqxO8AKCpUSF9wz70fGkqnIPam6ky47Pkf59NZe1jtPbx3a3R8J0+fTqmT5+u0xYbG4uioiK4urpi6NCheP311xs9UGGh9T5xRS53Qm6udT/OzdLH6PXAMGT9fh7KvwWl++DuEIUEAAA07q6AQABoNHW2Fzg76h+/f3vYerdDZVZ+nS67Dp4oqlJDYMbvW3bsFb3t1YWluLRmNzq/PF1vv6Wx9H+fTWHtY7TG8TX0ZsKgS40OHjyIX375BQBw9epVeHl5GVZZM2k0GqR8vR1/TFyAg9HP4sT0RcjY8ptJjk2WzXN0FMKXPwu36K6wcXOGnb8n/GaPRORXr2hf4z2+H1x7dqq7sVgE7wn6b+do4+wA74n967QLpDbwmT4MAoHAaGMwhEBc//trodTGhJUQ0d0M+sz3mWeeweuvv469e/eipqYG77zzjpHL0i9x+UYkffpfQKUGAJRfz0Jh3FWoK6vRYfZIk9RAlstnyiC0nzwQqvJKCKWSOp/FCkQidP/keVx6/WsUxl2FpkYJWx93+N4/FP6PjKl3v10X/wNiJ3vc2h2Lqtwi2Pl6wHf6UAQ8Nq6lh9SodtGhKIy9XKdd6uUGv1kxZqiIiABAoNHomWNrAfc6naAsq8TvQ19AeVpOnT7XyGAM2LXMbGcZ1jhd8nfWPsa7x6fRaFB0JgkVN3MhH9ITNs4OTdqHRqOBRqlqVZcXqSqrEfePD5B76Kx2Ot1G5oSQBbMR0MAbCktj7f8+AesfozWOr6Fp59bzW6IRty9c0xu8AFCanIma22WQuJpvYQtZD4FAAFmvYMh6BTd7O0ErCl4AENlKELV+IUoOxiH1wDmIHWzRYfYIOARaz0IrIkvUun5TNMDORw6Rgy1UZZV1+mxcHSG2l5qhKqLWTyAUImhWDJxHRJm7FCL6k8Xc29m+gyfa9Q/X2ycf1ANCCRePEBGRZbCY8AWA8BXPoN3gHhBIak/YRfa28Bof3SruIkRERNRUFjPtDAB23u3QT7EYeX9cRMnlVMiiu8I1vKO5y6JGVBeVIuWrX1CWlAmxky18pg2B+8Du5i6LiMhsLCp873AfEA73AfqnoKl1KU/PwalH/oWS+Bvatpvb/kDw/FkIeuY+8xVGRGRGFjXtTJYn8d+bdYIXAFTllUj56hfUFJeZpygiIjNj+FKLun3umt72qpv5yPzvX3cnU1fXIGvnCWT/Ggt1jdJU5RERmYVFTjuTBRHWf+MTwZ93mEpXHELyp1tQmpQBAHAM8UPnl6bDZ+pgk5RIRGRqPPOlFlXfjSrsOnjAZ9oQFMffwOVF67TBCwClV9MR/9Y3KElMN1WZREQmxfClFtVlwYOQ9Q7RabOROaHzy9MhdrBF6vq9qCkorrNddV4x0r7fY6oyiYhMitPO1KIkbs6I3rIEaT/sQfHlVIid7NHhwZFwCvYDANQUlda7bXUDfURElozhSy1OZCtB4JMT9fY5BNT/OEqHQO+WKomIyKwYvmRWgU9NQtaOEyi9mqbT7hTqj8Cn9Ad2fdI3H8TNn4/8+Vg/OTrMHgHPUbyfMRG1PgxfMiuJqyN6r5mHxA83ofB0IiAAZL1CEDxvFmyc7Ju8n2ufbcXVFRuhqaoBABRfuo78Y5cQvuyZNrFqWqNW49pnW5Fz4DSUxeVw7OyLwCcnwC0q1NylEZEeDF8yO8fOvoj86lXcebR0c5/LrKqsRvqGfdrgvUNZXI4ba3eh/ZRBZnvWs6lceO1LpP+4T/t1SUIqCk4moNdXr8ItuqsZKyMifRi+1GoYGpBF55NRlpKlt68kMR3K4jLYuLTMs56ri0pxY81OVOUUwt7fCwGPjoXIxI+3LE2+iaztx+q0V2UXIOWbHQxfolaI4UsWT+rhCpGdFKqKqjp9No72ENq2TBgWnLiMcy99hvLrfwV/xk+H0Ovr1+AY7Nsix9QnZ98pKG/rv1Vn6VVeK03UGvE6X7J4joHekNVzdufWvxtEUuM/61mj0eDK+z/qBC9QO92bsPQHox+vIVIvt3r7xE52JqyEiJqK4UtWIez9p+DaOwT4c+paIBHDfWhPdFv6RIscrzQpo3aBmB6FcVegLK1okePq4z2hP5zDA/X2yYdFmKwOImo6TjuTVXAM9MaA7e8ja9cJlCXfhEuPTpAP6dFiC63UldXQKFV6+zQ1Kqjr6WsJQrEIYUufwsUFX6Mk/joAQOxoC69x/RA89wGT1UFETcfwJashEArRfkJ/kxzLOSwQLuGBuH0hpU6fS48gSFxbZoFXfdz6hmLQ3g9x8+cjqLxVCI9hEXDuFmDSGoio6Ri+RAYQCIXo+NxkXHpjNWoKSrTttu3bIeiFqWapSSgWwXf6ULMcm4iah+FLZCCfKYNh7++F9PX7UJlTBDsfdwQ8Nk5732oiovowfInugSwyGLJI/Y9NJCKqzz2tds7Ly0OfPn0QGxtrrHqIiIis3j2F7/Lly+Hnxyk2IiKi5jA4fI8fPw5HR0cEB3PKjYiIqDkMCt/q6mqsXLkSL7/8srHrISIisnqNLrhSKBRQKBQ6bYMHD8asWbPg5OTU5APJZPYQi0XNr9BCyOVN/15YKmsfI8dn2ax9fID1j9Hax3c3gebOc9yaYebMmVCr1QCAtLQ0uLm54dNPP0Xnzp3r3SY3t6TePksnlztZ9fgA6x8jx2fZrH18gPWP0RrH19CbCYMuNdq0aZP276+//jqmTJnSYPASNYdGo0FldgFEdlKT3ymKiMgUeJ0vtSqZ247g+tc7UBx/HSI7Kdz6dkXXd/8BB38vc5dGRGQ09xy+H3zwgTHqIELe0Yu4NP8r1BSVAqh9eMGt3bGoyilA/+0fQNgCawaq8m4jfdMBZEpEcB3ZBw6B7Y1+DCKiv+OZL7Uaaev3aoP3bkVnkpChOIwOs2KMerwba3ch6RMFqm4VAgDEH/4E/wdHIXTRI0Y9DhHR3zF8qdWovFlQb19Zyk2jHqskKQNXl23QCXvl7TKkfP0LnLoGwM7PA/a+7rDzkRv1uEREAMOX7lHekQtI/X4PKtJzIHF3Qfspg+A7bYjOa8pTs1GRmQeXHp0gdrCtd19SL1m9ffYdPI1WMwCkb9yv9yxbU6PChddWQl1eBZGTPdz7hyFsxTOw83Qz6vGJqG1j+JLBsnedwPlXvtB5pF7e7xdQmZ2PTv+cioqbebg4bxXyj12EqqwKdv6e8J02BMHzZul9yL3fzBjkHjwDZXG5Trtz9yD4zRxu1NpV5VX19qn/7FOVlOPWnpNQVVYj+qd3jHp8Imrb7uneztS2pXyzQyd4AUBdVY20H/ZBWV6Jcy98ipx9cVCV1YZZReotJH36X9z4Zqfe/XkMi0DXJY/DuXtHQCiAyMEW8phIRHzxEoQ2xn2fKOsd0uTX5p+IR/6J+AZfo1GrUXAyAfmxCdCoVPdaHhFZOZ75kkGUZZUouZKmt6/8ehZurN2FgtiEup0qNbJ2HEPgkxP0btthZgz8HhiG0pSbsHG0h61Xy0z3+kwZhIz//oa8Q2cbfa2mqgbF8TfQLrqb3v5be04i8cPNuH0xBdBo4BweiE4v3o/2EwcYu2wishIMXzKIUCKG2E6KGj19AqkY1UWl0FQr9W5blVPU4L4FQiGcOvkaocoGjiESoc+3C5D40U8oiL0MsQAouZGNyqy6i75EDrZwi+qqdz9lqbdwYd4qVGX/tV3xxeu4tGA1nIL94BTSocXGQESWi9POZBChjRhu/fSfCbr17oL2E/tDZCfV22/n59GSpTWZyFaC0DcexID//QsT/vgMIW88BKGdpM7r5EMj4BIeqHcfN9b9qhO8d1TnFiH1u91Gr5mIrAPPfMlg3ZY8jsrsAuQfuwSoau/1bR/UHl0WPQzXHp0gHxaB7F0ndLYROdjCz8jX6xqL3wPDaj+z/nEfylJuwsbFEe6DeyDsvSfq3aY6/3a9fVUFxS1RJhFZAYYvGUwic0K0YjEyFIdw7dMtqEjPRXnyTZx9+iP43D8UPT9/CZcXrUXu7+ehvF0Gh07t0eHBkfCZMsjcpdfL/6HR6PDgKNQUlkDkYAeR1KbB1zd0CZS9T+s4wzcFjUqFjC2/o+DYJQhEIniOiYLHiF56V7UTEcOX7pFAIEDmlt9Rdi1T21Z+IxtJnyhg4+qA7v9+DuoaJVTllRA7O1jEL2OBQACJm3OTXhv45ARk/fIHShPTddrtA70R+LT+RWXWRq1U4cxTK5C9869ZjvTNB+D/yFiELa1/1oCoLeNnvnRP8mMvI/+4nstwlCpkbT8GoPbzYRsXR4sI3uaSuDoi8utX4Tm2L6SeMkg9XOE5JgqRX78KW4+2cWOO1G9/1QleoPZmJak/7EHesUtmqoqodeOZL92T4kvXoanSt+a58VXN1sI51B99vl0AVVUNoNFAZFt30ZY1y68nYDVVNbj16wm49w8zcUVErR/PfOmeyKJCIbLXf8tIO9+2dV9kkdQGQqkNCk8nIufwudowbgs0DXSpG+gkasN45kv3xDW8I+RDe9ZZ1Sy0lcB3+jAzVWUeBScuI2HJ9yg8lwQoVXDo5IPAx8cj4LFx5i6tRbn1Da3z8wcAgUQMrzFRZqiIqPXjmS/ds56fvwS//xsBO185RE72cOkRhK6L/wG/GW0nfJVlFTg/9wsUxl0BlLW3lyy7lomE977HrQOnzVxdywp4fDw8RvbWbRQJ4TczBu6DepinKKJWjme+dM/EDrbo8fHzUFVWQ1laAYmbEwTCtvW+LvXb3ShLzqzTriqrRKbiMDxjepmhKtMQ2ojR+9sFSN+4H/nH4iG0EcFjRG94T+xv7tKIWi2GLxmNyFbS5hYb3VGVW//isuq8+m/EYS2EYhH8HxoN/4dGm7sUIovQtk5PiFqIY7BfvX12HdrOzTaIqGkYvkRG4PvAML2PKbT1bmf1C66IqPkYvkRGIBSLELl2PnymDYadjzukclfIh0Wg52cvwiWso7nLI6JWhp/5EhmJnacbIlbOhVqpgkalbvS+0ETUdjF8iYxMKBYBYpG5yyCiVozTzkRERCbG8CUiIjIxhi8REZGJGfSZ7549e/Dhhx/Cy8sLANC/f388++yzRi2MiIjIWhkUvuXl5Zg9ezYeffRRI5dDRERk/Qyadi4rKzN2HURERG2GwWe+v/32Gw4ePAiRSIT58+ejS5cuxq6NiIjIKgk0Gk2DT7tWKBRQKBQ6bSNGjEC3bt0wYMAAnD17FosWLcL27dsbPJBSqYKY1z4SERE1Hr5NMXDgQPz2228QieoP19zckns9TKsllztZ9fgA6x8jx2fZrH18gPWP0RrHJ5c71dtn0Ge+q1atwq+//goAuHbtGmQyWYPBS61fTUk5Ck8norqg2NylEBFZPYM+873vvvswf/58rF+/HiqVCkuXLjV2XWQiGpUK8W+tQfauWFRm5UPSzhkew3shfMUzENlJzV0eEZFVMih8vb298f333xu7FjKDhKU/4MaaXdqvq/OLkaE4BI1Gg4gvXjJjZURE1ot3uGrD1DVK3Np9Sm9f7sEzqMwtMnFFRERtA8O3DVMWl6Myp0BvX3VBMcqvZ5m4IiKitoHh24bZuDrA3sdDb5/UUwanED8TV0RE1DYwfNswgUiE9vcNAISCOn2eY/vCxsXRDFUREVk/gxZckfXo9PJ0aDRA1i9HUZ6eA6mHDJ6j+yD0rUfMXRoRkdVi+LZxAoEAwa88gE4vTkNNYQlsXBwglNiYuywiIqvG8CUAgFAsglTuau4yiIjaBIYvtXq5R87j+uodKEvKgNjJHu5DIxAybxaEvFc4EVkohi+1anl/XMS55z5GVc5f1xzfPp+MivQcRH4514yVEREZjqudqVW7sWaXTvDecWvPSdy+eN0MFRER3TuGL7VqZcmZettVZZXIO3LexNUQERkHw5daNXED1xrberczYSVERMbD8KVWzXNUb0BQ9yYgLuEd0X5SfzNURER07xi+1KoFPTcZ/o+OgY3sz4dSCwRwieiM8BXPQMBnSBORheJqZ2rVBEIhwj94GkH/nIJbe0/Brr07PEf3gUDI941EZLkYvmQR7P08EPj4eHOXQURkFDx9ICIiMjGGLxERkYkxfImIiEyM4UtERGRiDF8iIiITY/gSERGZGMOXiIjIxBi+REREJsbwJSIiMjHe4YroLtWFJUj6RIGis9cgEAogi+qC4JcfgMhOau7SiMiKGBy+a9euxY4dOwAA77zzDrp37260oojMQVlWiZOzl6DodKK2reB4PG6fT0bU+rcgFPNBDkRkHAZNO6enp+Pw3gobKwAABipJREFU4cPYsmUL3n33XRw6dMjYdRGZXMrXv+gE7x15h88h4yf+Gyci4zHozHffvn2YNGkSBAIBwsLCEBYWZuy6iEyuJP5GvX2Fp6+iw/+NMF0xRGTVDArfrKwslJaW4plnnkFFRQUWLFiALl26NLiNTGYPsRVP28nlTuYuocVZ+xjtZY719jm5OVr8+C29/sZY+/gA6x+jtY/vbo2Gr0KhgEKh0GkrKSnBgAEDsGrVKsTFxeGNN97A1q1bG9xPYWH5vVXaisnlTsjNLTF3GS3K2scolztBNqI3BJsOQlOt1OkTO9nDbeJAix5/W/j5WfP4AOsfozWOr6E3E42G7/Tp0zF9+nSdts8//xxBQUEAgN69e+PmzZv3WCKR+XmNjkLHpych9bs9UBaXAQAk7ZwR9PxUuHYPMnN1RGRNDJp2HjhwIBQKBcaOHYvExER4e3sbuy4iswhd+DA6/N8IZP58BAKREL4zhsHO293cZRGRlTEofHv27IkjR47goYceQkVFBd5++21j10VkNg4d2yP4lRnmLoOIrJjB1/nOmTPHmHUQERG1Gby9JBERkYkxfImIiEyM4UtERGRiDF8iIiITY/gSERGZGMOXiIjIxBi+REREJsbwJSIiMjGBRqPRmLsIIiKitoRnvkRERCbG8CUiIjIxhi8REZGJMXyJiIhMjOFLRERkYgxfIiIiE2P4GoFKpcKCBQvwf//3f7j//vtx8uRJc5dkdCdPnkS/fv1w6NAhc5diVJ9++ilmzpyJqVOn4uLFi+Yup0UkJiZixIgR+PHHH81dSov46KOPMGPGDEydOhW//vqrucsxqoqKCrz44ot48MEHMXXqVBw4cMDcJbWIyspKxMTEYOvWreYuxWTE5i7AGmzfvh1SqRQbNmzAtWvXMG/ePKv6R5SWloZ169ahV69e5i7FqE6cOIGLFy9i06ZNSExMxOLFi7F+/Xpzl2VU5eXlWLJkCfr162fuUlrEqVOnkJCQgM2bN6OoqAiTJk3C2LFjzV2W0Rw8eBBhYWF48sknkZmZicceewwxMTHmLsvovvzyS7i6upq7DJPima8RjBs3DvPnzwcAyGQylJWVmbki45LL5fj888/h6Oho7lKMKjY2VvuLLDg4GDk5OaioqDBzVcYlkUiwevVqeHh4mLuUFhEREYFPPvkEAODs7Iyamhqo1WozV2U848ePx5NPPgkAyM7Ohqenp5krMr7k5GQkJydj6NCh5i7FpHjmawQSiUT79++++w4TJkwwYzXGZ2dnZ+4SWkRubi66dOmi/drNzQ15eXnw8/MzY1XGJRaLIRZb73/zu8enUCgwZMgQCIXWd04xffp05OXl4euvvzZ3KUa3fPlyvPXWW/j555/NXYpJWe//yhaiUCigUCh02ubMmYNBgwZh/fr1uHTpElatWmWm6u5dQ+OzNjY2NjpfazQaCAQCM1VD92L//v346aefsG7dOnOX0iIUCgXi4+Mxd+5c/O9//7OaNxjbtv1/e3fLskgURwH8gCImQUZBRu2CRpPB72AYEL+A2WgyCU4yDGi6goiWKZsE0TDgBzDoVIsOGHxBxWKQTSu7PDywL7P3os/5tfmnc5lw5s4L8w35fB6pVEp1FOlYvn/IMAwYhvFhbts2ZrMZut3uLzvhV/PZ+t5RPB7H4XB4Hh+PR8RiMYWJ6G/M53N0Oh0IIRCJRFTH8dVyuYSmadB1HdlsFo/HA6fTCZqmqY7mC8dxsN1uMZ1OsdvtEAqFkEgkUCgUVEf771i+PthsNhiNRhgOhwiHw6rj0G8qFotot9uoVCpwXRfpdJrn78Vcr1e0Wi30+31Eo1HVcXy3WCzgeR7q9Tr2+z1ut9tbrfPH83oAsCwLyWTySxQvwPL1hW3buFwuqFarz5kQ4qV3wD9zHAdCCKzXa7iui8FggF6vpzrWP8vlcshkMiiVSggEAmg2m6oj+W61WsE0TXieh2AwiMlkAsuy3ubN0vF4jPP5jFqt9pyZpgld1xWm8k+5XH5+xni/39FoNN7mlvNXx18KEhERScZLKCIiIslYvkRERJKxfImIiCRj+RIREUnG8iUiIpKM5UtERCQZy5eIiEgyli8REZFk3wHhW1prctDaxwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x[:, 0], x[:, 1], c=kmeans.labels_, cmap='Spectral')\n",
    "plt.title('K-Means Clustering with K=2', size=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=3, n_init=20, random_state=42)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans2 = KMeans(n_clusters=3, random_state=42, n_init=20)\n",
    "kmeans2.fit(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2.60450418,  0.24696837],\n",
       "       [-0.09155989, -3.87287837],\n",
       "       [ 3.27858059, -1.37217166]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans2.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0,\n",
       "       0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1], dtype=int32)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans2.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "inertia with n_init=1: 63.375640833186544\n",
      "inertia with n_init=20: 62.737378097355716\n"
     ]
    }
   ],
   "source": [
    "kmeans3 = KMeans(n_clusters=3, random_state=42, n_init=1)\n",
    "kmeans3.fit(x)\n",
    "kmeans4 = KMeans(n_clusters=3, random_state=42, n_init=20)\n",
    "kmeans4.fit(x)\n",
    "\n",
    "print('inertia with n_init=1:', kmeans3.inertia_)\n",
    "print('inertia with n_init=20:', kmeans4.inertia_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hierarchical Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import linkage, dendrogram\n",
    "\n",
    "hc_complete = linkage(x, method='complete')\n",
    "hc_average = linkage(x, method='average')\n",
    "hc_single = linkage(x, method='single')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/dkapitan/.local/lib/python3.9/site-packages/matplotlib/text.py:1150: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if s != self._text:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, axes = plt.subplots(1, 3, sharex=False, sharey=False)\n",
    "\n",
    "f.set_figheight(8)\n",
    "f.set_figwidth(16)\n",
    "\n",
    "dendrogram(hc_complete,\n",
    "           labels=x,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6,\n",
    "           ax=axes[0])\n",
    "\n",
    "dendrogram(hc_average,\n",
    "           labels=x,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6,\n",
    "           ax=axes[1])\n",
    "\n",
    "dendrogram(hc_single,\n",
    "           labels=x,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6,\n",
    "           ax=axes[2])\n",
    "\n",
    "axes[0].set_title('Complete Linkage', size=16)\n",
    "axes[1].set_title('Average Linkage', size=16)\n",
    "axes[2].set_title('Single Linkage', size=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.cluster.hierarchy import fcluster, cut_tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cut_tree(hc_complete, 2).ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cut_tree(hc_average, 2).ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cut_tree(hc_single, 2).ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cut_tree(hc_single, 4).ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/dkapitan/.local/lib/python3.9/site-packages/matplotlib/text.py:1150: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if s != self._text:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "scaler = StandardScaler()\n",
    "x_scaled = scaler.fit_transform(x)\n",
    "\n",
    "dendrogram(linkage(x_scaled, method='complete'),\n",
    "           labels=x_scaled,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6)\n",
    "\n",
    "plt.title('Hierarchical Clustering with Scaled Features', size=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(size=30*3).reshape(30, 3)\n",
    "\n",
    "# scipy linkage takes care of the distance function pdist\n",
    "dendrogram(linkage(x, method='complete', metric='correlation'),\n",
    "           labels=x,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6)\n",
    "\n",
    "plt.title('Complete Linkage with Correlation Based Distance', size=16);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 12.5.4: NCI60 Data Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "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>data.1</th>\n",
       "      <th>data.2</th>\n",
       "      <th>data.3</th>\n",
       "      <th>data.4</th>\n",
       "      <th>data.5</th>\n",
       "      <th>data.6</th>\n",
       "      <th>...</th>\n",
       "      <th>data.6825</th>\n",
       "      <th>data.6826</th>\n",
       "      <th>data.6827</th>\n",
       "      <th>data.6828</th>\n",
       "      <th>data.6829</th>\n",
       "      <th>data.6830</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>V1</th>\n",
       "      <td>0.3000</td>\n",
       "      <td>1.1800</td>\n",
       "      <td>0.5500</td>\n",
       "      <td>1.1400</td>\n",
       "      <td>-0.2650</td>\n",
       "      <td>-0.0700</td>\n",
       "      <td>...</td>\n",
       "      <td>0.6300</td>\n",
       "      <td>-0.0300</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.2800</td>\n",
       "      <td>-0.3400</td>\n",
       "      <td>-1.9300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V2</th>\n",
       "      <td>0.6800</td>\n",
       "      <td>1.2900</td>\n",
       "      <td>0.1700</td>\n",
       "      <td>0.3800</td>\n",
       "      <td>0.4650</td>\n",
       "      <td>0.5800</td>\n",
       "      <td>...</td>\n",
       "      <td>0.1099</td>\n",
       "      <td>-0.8600</td>\n",
       "      <td>-1.2500</td>\n",
       "      <td>-0.7700</td>\n",
       "      <td>-0.3900</td>\n",
       "      <td>-2.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V3</th>\n",
       "      <td>0.9400</td>\n",
       "      <td>-0.0400</td>\n",
       "      <td>-0.1700</td>\n",
       "      <td>-0.0400</td>\n",
       "      <td>-0.6050</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2700</td>\n",
       "      <td>-0.1500</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>-0.1200</td>\n",
       "      <td>-0.4100</td>\n",
       "      <td>0.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V4</th>\n",
       "      <td>0.2800</td>\n",
       "      <td>-0.3100</td>\n",
       "      <td>0.6800</td>\n",
       "      <td>-0.8100</td>\n",
       "      <td>0.6250</td>\n",
       "      <td>-0.0000</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.3500</td>\n",
       "      <td>-0.3000</td>\n",
       "      <td>-1.1500</td>\n",
       "      <td>1.0900</td>\n",
       "      <td>-0.2600</td>\n",
       "      <td>-1.1000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>V5</th>\n",
       "      <td>0.4850</td>\n",
       "      <td>-0.4650</td>\n",
       "      <td>0.3950</td>\n",
       "      <td>0.9050</td>\n",
       "      <td>0.2000</td>\n",
       "      <td>-0.0050</td>\n",
       "      <td>...</td>\n",
       "      <td>0.6350</td>\n",
       "      <td>0.6050</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.7450</td>\n",
       "      <td>0.4250</td>\n",
       "      <td>0.1450</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 6830 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 data.1               data.2               data.3  \\\n",
       "V1               0.3000               1.1800               0.5500   \n",
       "V2               0.6800               1.2900               0.1700   \n",
       "V3               0.9400              -0.0400              -0.1700   \n",
       "V4               0.2800              -0.3100               0.6800   \n",
       "V5               0.4850              -0.4650               0.3950   \n",
       "\n",
       "                 data.4               data.5               data.6  ...  \\\n",
       "V1               1.1400              -0.2650              -0.0700  ...   \n",
       "V2               0.3800               0.4650               0.5800  ...   \n",
       "V3              -0.0400              -0.6050               0.0000  ...   \n",
       "V4              -0.8100               0.6250              -0.0000  ...   \n",
       "V5               0.9050               0.2000              -0.0050  ...   \n",
       "\n",
       "              data.6825            data.6826            data.6827  \\\n",
       "V1               0.6300              -0.0300               0.0000   \n",
       "V2               0.1099              -0.8600              -1.2500   \n",
       "V3              -0.2700              -0.1500               0.0000   \n",
       "V4              -0.3500              -0.3000              -1.1500   \n",
       "V5               0.6350               0.6050               0.0000   \n",
       "\n",
       "              data.6828            data.6829            data.6830  \n",
       "V1               0.2800              -0.3400              -1.9300  \n",
       "V2              -0.7700              -0.3900              -2.0000  \n",
       "V3              -0.1200              -0.4100               0.0000  \n",
       "V4               1.0900              -0.2600              -1.1000  \n",
       "V5               0.7450               0.4250               0.1450  \n",
       "\n",
       "[5 rows x 6830 columns]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nci60 = pd.read_csv('../datasets/NCI60.csv', index_col=0)\n",
    "nci_labs = nci60.labs\n",
    "nci_data = nci60.drop('labs', axis=1)\n",
    "\n",
    "nci_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "V1       CNS\n",
       "V2       CNS\n",
       "V3       CNS\n",
       "V4     RENAL\n",
       "V5    BREAST\n",
       "Name: labs, dtype: object"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nci_labs.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RENAL          9\n",
       "NSCLC          9\n",
       "MELANOMA       8\n",
       "BREAST         7\n",
       "COLON          7\n",
       "              ..\n",
       "UNKNOWN        1\n",
       "K562B-repro    1\n",
       "K562A-repro    1\n",
       "MCF7A-repro    1\n",
       "MCF7D-repro    1\n",
       "Name: labs, Length: 14, dtype: int64"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nci_labs.value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA on the NCI60 Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA()"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "scaler = StandardScaler()\n",
    "nci_scaled = scaler.fit_transform(nci_data)\n",
    "\n",
    "pca = PCA()\n",
    "pca.fit(nci_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = pca.transform(nci_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import LabelEncoder\n",
    "\n",
    "le = LabelEncoder()\n",
    "color_index = le.fit_transform(nci_labs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, axes = plt.subplots(1, 2, sharex=False, sharey=False)\n",
    "\n",
    "f.set_figheight(8)\n",
    "f.set_figwidth(16)\n",
    "\n",
    "axes[0].scatter(x[:, 0], -x[:, 1], c=color_index, cmap='Spectral')\n",
    "axes[0].set_xlabel('Z1')\n",
    "axes[0].set_ylabel('Z2')\n",
    "\n",
    "axes[1].scatter(x[:, 0], x[:, 2], c=color_index, cmap='Spectral')\n",
    "axes[1].set_xlabel('Z1')\n",
    "axes[1].set_ylabel('Z3');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.11358942, 0.06756203, 0.05751842, 0.04247554, 0.03734972])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.11358942, 0.18115144, 0.23866987, 0.28114541, 0.31849513])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_.cumsum()[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scikitplot.decomposition import plot_pca_component_variance\n",
    "\n",
    "f, axes = plt.subplots(1, 2, sharex=False, sharey=False)\n",
    "\n",
    "f.set_figheight(6)\n",
    "f.set_figwidth(14)\n",
    "\n",
    "axes[0].plot(pca.explained_variance_ratio_, marker='o', markeredgewidth=1, markerfacecolor='None')\n",
    "axes[0].set_title('PVE')\n",
    "plot_pca_component_variance(pca, ax=axes[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Clustering the Observations of the NCI60 Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x1728 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.cluster.hierarchy import dendrogram, linkage, cut_tree\n",
    "\n",
    "f, axes = plt.subplots(3, 1, sharex=False, sharey=False)\n",
    "\n",
    "f.set_figheight(24)\n",
    "f.set_figwidth(16)\n",
    "\n",
    "dendrogram(linkage(nci_scaled, method='complete'),\n",
    "           labels=nci_labs,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6,\n",
    "           ax=axes[0])\n",
    "\n",
    "dendrogram(linkage(nci_scaled, method='average'),\n",
    "           labels=nci_labs,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6,\n",
    "           ax=axes[1])\n",
    "\n",
    "dendrogram(linkage(nci_scaled, method='single'),\n",
    "           labels=nci_labs,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6,\n",
    "           ax=axes[2])\n",
    "\n",
    "axes[0].set_title('Complete Linkage', size=16)\n",
    "axes[1].set_title('Average Linkage', size=16)\n",
    "axes[2].set_title('Single Linkage', size=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "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>labs</th>\n",
       "      <th>BREAST</th>\n",
       "      <th>CNS</th>\n",
       "      <th>COLON</th>\n",
       "      <th>K562A-repro</th>\n",
       "      <th>K562B-repro</th>\n",
       "      <th>LEUKEMIA</th>\n",
       "      <th>...</th>\n",
       "      <th>MELANOMA</th>\n",
       "      <th>NSCLC</th>\n",
       "      <th>OVARIAN</th>\n",
       "      <th>PROSTATE</th>\n",
       "      <th>RENAL</th>\n",
       "      <th>UNKNOWN</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>row_0</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>8</td>\n",
       "      <td>8</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4 rows × 14 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "labs   BREAST  CNS  COLON  K562A-repro  K562B-repro  LEUKEMIA  ...  MELANOMA  \\\n",
       "row_0                                                          ...             \n",
       "0           2    3      2            0            0         0  ...         8   \n",
       "1           3    2      0            0            0         0  ...         0   \n",
       "2           0    0      0            1            1         6  ...         0   \n",
       "3           2    0      5            0            0         0  ...         0   \n",
       "\n",
       "labs   NSCLC  OVARIAN  PROSTATE  RENAL  UNKNOWN  \n",
       "row_0                                            \n",
       "0          8        6         2      8        1  \n",
       "1          1        0         0      1        0  \n",
       "2          0        0         0      0        0  \n",
       "3          0        0         0      0        0  \n",
       "\n",
       "[4 rows x 14 columns]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hc_clusters = cut_tree(linkage(nci_scaled, method='complete'), 4).ravel()\n",
    "pd.crosstab(hc_clusters, nci_labs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16, 10))\n",
    "\n",
    "dendrogram(linkage(nci_scaled, method='complete'),\n",
    "           labels=nci_labs,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6)\n",
    "\n",
    "plt.axhline(y=139, c='r')\n",
    "plt.title('Complete Linkage', size=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "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>col_0</th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>row_0</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>22</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "col_0   0  1  2  3\n",
       "row_0             \n",
       "0       9  0  0  0\n",
       "1       9  0  0  8\n",
       "2      22  7  0  0\n",
       "3       0  0  8  1"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "km = KMeans(n_clusters=4, n_init=20, random_state=42)\n",
    "km.fit(nci_scaled)\n",
    "\n",
    "pd.crosstab(km.labels_, hc_clusters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hc2 = linkage(x[:, 0:5], method='complete')\n",
    "\n",
    "plt.figure(figsize=(16, 10))\n",
    "\n",
    "dendrogram(hc2,\n",
    "           labels=nci_labs,\n",
    "           leaf_rotation=90,\n",
    "           leaf_font_size=6)\n",
    "\n",
    "plt.title('Hierarchical CLustering on First Five Score Vectors', size=16);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "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>labs</th>\n",
       "      <th>BREAST</th>\n",
       "      <th>CNS</th>\n",
       "      <th>COLON</th>\n",
       "      <th>K562A-repro</th>\n",
       "      <th>K562B-repro</th>\n",
       "      <th>LEUKEMIA</th>\n",
       "      <th>...</th>\n",
       "      <th>MELANOMA</th>\n",
       "      <th>NSCLC</th>\n",
       "      <th>OVARIAN</th>\n",
       "      <th>PROSTATE</th>\n",
       "      <th>RENAL</th>\n",
       "      <th>UNKNOWN</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>row_0</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>...</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4 rows × 14 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "labs   BREAST  CNS  COLON  K562A-repro  K562B-repro  LEUKEMIA  ...  MELANOMA  \\\n",
       "row_0                                                          ...             \n",
       "0           0    2      7            0            0         2  ...         1   \n",
       "1           5    3      0            0            0         0  ...         7   \n",
       "2           0    0      0            1            1         4  ...         0   \n",
       "3           2    0      0            0            0         0  ...         0   \n",
       "\n",
       "labs   NSCLC  OVARIAN  PROSTATE  RENAL  UNKNOWN  \n",
       "row_0                                            \n",
       "0          8        5         2      7        0  \n",
       "1          1        1         0      2        1  \n",
       "2          0        0         0      0        0  \n",
       "3          0        0         0      0        0  \n",
       "\n",
       "[4 rows x 14 columns]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.crosstab(cut_tree(hc2, 4).ravel(), nci_labs)"
   ]
  }
 ],
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